Finite Group Databasebeta

← #7689439

Subgroups — #7689439

Order 512.

5353 conjugacy classes of subgroups.

The subgroup lattice has 1755 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59823C211yesmaximal, characteristic, complemented
2#59807C212yesmaximal, complemented
3#59586C212yesmaximal, complemented
4#59562C212yesmaximal, complemented
5#59546C212yesmaximal, complemented
6#59269C214yesmaximal, complemented
7#59041C211yesmaximal, characteristic, complemented
8#59035C211yesmaximal, characteristic, complemented
9#45006C212yesmaximal, complemented
10#44912C212yesmaximal, complemented
11#43632C214yesmaximal, complemented
12#43522C214yesmaximal, complemented
13#39537C212yesmaximal, complemented
14#39515C211yesmaximal, characteristic, complemented
15#39024C212yesmaximal, complemented
16#38932C211yesmaximal, characteristic, complemented
17#38732C214yesmaximal, complemented
18#38272C212yesmaximal, complemented
19#36476C211yesmaximal, characteristic, complemented
20#36459C211yesmaximal, characteristic, complemented
21#36315C211yesmaximal, characteristic, complemented
22#36293C212yesmaximal, complemented
23#36272C211yesmaximal, characteristic, complemented
24#36238C212yesmaximal, complemented
25#36174C212yesmaximal, complemented
26#36149C211yesmaximal, characteristic, complemented
27#36044C212yesmaximal, complemented
28#36022C212yesmaximal, complemented
29#34913C212yesmaximal, complemented
30#34800C211yesmaximal, characteristic, complemented
31#34310C211yesmaximal, characteristic, complemented
32#34261C212yesmaximal, complemented
33#34232C211yesmaximal, characteristic, complemented
34C4×#555C211yesmaximal, characteristic, complemented
35#34155C211yesmaximal, characteristic, complemented
36C2×#555C2211yescharacteristic
37C2×#554C2212yescomplemented
38C2×#552C2212yescomplemented
39C2×#546C2212yes—
40C2×D42C2211yescharacteristic
41C2×#532C2211yescharacteristic
42C2×#532C2211yescharacteristic
43C2×#518C2212yes—
44#2862C2211yescharacteristic, complemented
45#2861C2212yes—
46#2860C2212yes—
47#2859C2212yescomplemented
48#2857C2211yescharacteristic, complemented
49#2857C2211yescharacteristic, complemented
50#2855C2212yescomplemented
51#2850C2214yescomplemented
52#2798C2214yescomplemented
53#2797C2214yescomplemented
54#2786C2214yescomplemented
55#2778C2214yescomplemented
56#2771C2214yescomplemented
57#2764C2214yescomplemented
58#2759C2214yescomplemented
59#2756C2214yescomplemented
60#2749C2214yescomplemented
61#2743C2214yescomplemented
62#2735C2214yescomplemented
63#2732C2214yescomplemented
64#2714C2214yescomplemented
65#2702C2214yescomplemented
66#2696C2214yescomplemented
67#2694C2214yescomplemented
68#2690C2214yescomplemented
69#2687C2214yescomplemented
70#2685C2214yescomplemented
71#2684C2214yes—
72#2668C2214yes—
73#2648C2214yescomplemented
74#2647C2212yescomplemented
75#2635C2214yescomplemented
76#2628C2212yescomplemented
77#2611C2214yescomplemented
78#2607C2214yescomplemented
79#2597C2214yescomplemented
80#2592C2212yes—
81#2591C2214yescomplemented
82#2589C2214yescomplemented
83#2581C2212yescomplemented
84#2580C2212yes—
85#2578C2214yescomplemented
86#2577C2214yescomplemented
87#2576C2214yescomplemented
88#2575C2214yescomplemented
89#2570C2212yescomplemented
90#2563C2211yescharacteristic
91#2563C2211yescharacteristic
92#2562C2212yescomplemented
93#2561C2214yescomplemented
94#2560C2214yescomplemented
95#2560C2214yescomplemented
96#2554C2214yescomplemented
97#2553C2214yescomplemented
98#2552C2211yescharacteristic, complemented
99#2552C2211yescharacteristic, complemented
100#2547C2211yescharacteristic
101#2542C2211yescharacteristic
102#2542C2212yescomplemented
103#2539C2214yescomplemented
104#2538C2212yescomplemented
105#2538C2212yescomplemented
106#2538C2212yescomplemented
107#2537C2212yes—
108#2535C2212yes—
109#2535C2212yes—
110#2535C2212yescomplemented
111#2532C2212yescomplemented
112#2532C2214yescomplemented
113#2531C2214yescomplemented
114#2531C2214yescomplemented
115#2529C2214yescomplemented
116#2526C2214yescomplemented
117#2526C2214yescomplemented
118#2526C2212yescomplemented
119#2518C2214yescomplemented
120#2518C2214yescomplemented
121#2518C2212yescomplemented
122#2515C2214yescomplemented
123#2514C2212yescomplemented
124#2513C2211yescharacteristic
125#2510C2214yescomplemented
126#2508C2211yescharacteristic, complemented
127#2500C2211yescharacteristic
128#2497C2212yescomplemented
129#2497C2211yescharacteristic, complemented
130#2496C2212yescomplemented
131#2496C2212yescomplemented
132#2495C2212yescomplemented
133#2495C2212yescomplemented
134#2495C2212yescomplemented
135#2495C2212yescomplemented
136#2494C2212yescomplemented
137#2492C2212yescomplemented
138#2491C2211yescharacteristic
139#2490C2212yes—
140#2490C2214yescomplemented
141#2489C2214yescomplemented
142#2489C2212yescomplemented
143#2489C2212yescomplemented
144#2488C2214yescomplemented
145#2488C2214yescomplemented
146#2486C2212yescomplemented
147#2485C2212yescomplemented
148#2485C2212yescomplemented
149#2485C2211yescharacteristic, complemented
150#2482C2214yescomplemented
151#2481C2214yescomplemented
152#2480C2214yescomplemented
153#2479C2214yescomplemented
154#2477C2214yescomplemented
155#2472C2214yescomplemented
156#2472C2214yescomplemented
157#2472C2214yescomplemented
158#2471C2214yescomplemented
159#2461C2214yescomplemented
160#2461C2214yescomplemented
161#2459C2212yescomplemented
162#2454C2212yescomplemented
163#2454C2212yescomplemented
164#2448C2212yes—
165#2447C2212yescomplemented
166#2447C2212yescomplemented
167#2442C2212yescomplemented
168#2439C2211yescharacteristic, complemented
169#2438C2214yescomplemented
170#2435C2212yes—
171#2427C2212yes—
172#2427C2212yescomplemented
173#2427C2212yescomplemented
174#2426C2212yes—
175#2423C2212yescomplemented
176#2422C2212yes—
177#2422C2212yes—
178#2422C2212yes—
179#2420C2212yes—
180#2420C2212yes—
181#2420C2212yescomplemented
182#2420C2212yescomplemented
183#2418C2214yes—
184#2417C2214yescomplemented
185#2415C2212yescomplemented
186#2414C2211yescharacteristic
187#2412C2214yescomplemented
188#2411C2214yescomplemented
189#2408C2212yes—
190#2408C2212yes—
191#2408C2212yes—
192#2407C2212yes—
193#2407C2212yescomplemented
194#2407C2212yescomplemented
195#2404C2214yes—
196#2401C2214yescomplemented
197#2398C2212yescomplemented
198#2395C2214yescomplemented
199#2392C2212yescomplemented
200#2372C2214yescomplemented
201#2372C2212yescomplemented
202#2372C2212yescomplemented
203#2369C2211yescharacteristic, complemented
204#2369C2211yescharacteristic, complemented
205#2369C2211yescharacteristic, complemented
206#2366C2211yescharacteristic
207#2366C2211yescharacteristic
208#2366C2211yescharacteristic
209#2365C2211yescharacteristic, complemented
210#2365C2211yescharacteristic, complemented
211#2363C2212yes—
212#2363C2211yescharacteristic
213#2363C2211yescharacteristic
214#2363C2212yescomplemented
215#2363C2212yescomplemented
216#2363C2212yescomplemented
217#2363C2212yescomplemented
218#2363C2212yescomplemented
219#2363C2212yescomplemented
220#2363C2212yescomplemented
221#2361C2212yes—
222#2360C2212yescomplemented
223#2358C2214yes—
224#2357C2212yes—
225#2355C2212yescomplemented
226#2354C2211yescharacteristic
227#2354C2211yescharacteristic
228#2354C2212yescomplemented
229#2354C2211yescharacteristic, complemented
230#2354C2212yescomplemented
231#2353C2214yescomplemented
232#2353C2214yescomplemented
233#2352C2214yescomplemented
234#2349C2212yescomplemented
235D4×C4⋊C4C2211yescharacteristic
236D4×C4⋊C4C2212yescomplemented
237#2347C2212yescomplemented
238#2346C2212yescomplemented
239#2346C2211yescharacteristic, complemented
240#2346C2212yescomplemented
241#2346C2211yescharacteristic, complemented
242#2342C2214yescomplemented
243#2342C2214yescomplemented
244#2342C2214yescomplemented
245#2341C2212yescomplemented
246#2339C2212yescomplemented
247#2339C2212yescomplemented
248#2339C2212yescomplemented
249D4×C22⋊C4C2212yes—
250D4×C22⋊C4C2212yes—
251D4×C22⋊C4C2212yes—
252D4×C22⋊C4C2212yes—
253D4×C22⋊C4C2212yes—
254#2333C2214yescomplemented
255#2324C2212yes—
256#2321C2214yes—
257#2319C2212yes—
258#2319C2212yescomplemented
259#2318C2214yescomplemented
260#2314C2212yescomplemented
261#2312C2214yescomplemented
262C4×C4⋊Q8C2211yescharacteristic, complemented
263C4×C4⋊Q8C2211yescharacteristic, complemented
264C4×#127C2211yescharacteristic
265C4×#125C2212yescomplemented
266C4×#124C2212yescomplemented
267C4×#124C2212yescomplemented
268C4×#124C2212yescomplemented
269C4×#124C2212yescomplemented
270C4×#124C2212yescomplemented
271C4×C22⋊Q8C2212yescomplemented
272C4×#121C2212yes—
273C4×#121C2211yescharacteristic
274C4×#121C2211yescharacteristic
275C4×#121C2211yescharacteristic
276C4×#121C2211yescharacteristic
277C4×#121C2212yescomplemented
278#2298C2212yescomplemented
279#2297C2214yescomplemented
280#2295C2212yescomplemented
281#2293C2211yescharacteristic
282#2293C2212yes—
283#2293C2212yescomplemented
284#2293C2212yescomplemented
285C2×#390C2212yes—
286#2290C2214yescomplemented
287C2×#388C2214yescomplemented
288#2283C2211yescharacteristic, complemented
289#2283C2214yescomplemented
290#2275C2212yescomplemented
291C42×D4C2211yescharacteristic
292C42×D4C2211yescharacteristic, complemented
293C42×D4C2212yescomplemented
294C42×D4C2212yescomplemented
295C4×#117C2212yescomplemented
296C4×#117C2211yescharacteristic, complemented
297C4×#117C2211yescharacteristic, complemented
298C4×#117C2211yescharacteristic, complemented
299C22×#41C2312yes—
300C22×#41C2312yes—
301C23×D4C2312yes—
302C23×D4C2312yes—
303#555—28no—
304#554—48no—
305#552—48no—
306#546—48no—
307D42—28no—
308#532—28no—
309#532—28no—
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2311yescharacteristic
314C2×#127C2311yescharacteristic
315C2×#126C2314yes—
316C2×#126C2314yes—
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#125C2314yes—
320C2×#124C2312yes—
321C2×#124C2312yes—
322C2×#124C2312yes—
323C2×#124C2312yes—
324C2×#124C2312yes—
325C2×#124C2312yes—
326C2×#123C2314yes—
327C2×#123C2314yes—
328C2×#123C2314yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2314yes—
331C2×C22⋊Q8C2314yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2314yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2314yes—
337C2×#121C2312yes—
338C2×#121C2312yes—
339C2×#121C2312yes—
340C2×#121C2311yescharacteristic
341C2×#121C2311yescharacteristic
342C2×#121C2312yes—
343C2×#121C2312yes—
344C2×#121C2312yes—
345C2×#121C2312yes—
346C2×#121C2311yescharacteristic
347C2×#121C2314yes—
348C2×#121C2311yescharacteristic
349C2×#120C2314yes—
350C2×#120C2314yes—
351C2×#120C2314yes—
352#518—216no—
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2312yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2314yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2314yes—
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2311yescharacteristic
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2311yescharacteristic
384C2×#117C2312yes—
385C2×#117C2312yes—
386C2×#117C2311yescharacteristic
387C2×#117C2311yescharacteristic
388C2×#117C2312yes—
389C2×#117C2311yescharacteristic
390C2×#117C2312yes—
391C2×#117C2314yes—
392C2×#117C2311yescharacteristic
393C2×#117C2311yescharacteristic
394C2×#117C2311yescharacteristic
395C2×#117C2314yes—
396C22×C4⋊C4C2314yes—
397C22×C4⋊C4C2312yes—
398C22×C22⋊C4C2314yes—
399C22×C22⋊C4C2314yes—
400C22×C22⋊C4C2314yes—
401C22×C22⋊C4C2314yes—
402C22×C22⋊C4C2314yes—
403C22×C42C2311yescharacteristic
404C22×C42C2311yescharacteristic
405C22×C42C2314yes—
406C22×C42C2312yes—
407#401C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2312yes—
414#400C2314yes—
415#400C2314yes—
416#400C2312yes—
417#400C2314yes—
418#400C2314yes—
419#399C2314yes—
420#399C2314yes—
421#399C2314yes—
422#399C2314yes—
423#399C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2312yes—
428#398C2314yes—
429#398C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2312yes—
440#397C2314yes—
441#397C2312yes—
442#397C2312yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#396C2314yes—
450#396C2312yes—
451#396C2312yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#395C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2312yes—
463#394C2314yes—
464#394C2312yes—
465#394C2314yes—
466#394C2312yes—
467#394C2312yes—
468#394C2314yes—
469#394C2312yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#393C2312yes—
475#393C2314yes—
476#393C2312yes—
477#393C2314yes—
478#393C2314yes—
479#393C2314yes—
480#392C2314yes—
481#392C2314yes—
482#392C2314yes—
483#392C2312yes—
484#392C2314yes—
485#391C2314yes—
486#391C2314yes—
487#391C2312yes—
488#391C2312yes—
489#391C2312yes—
490#391C2312yes—
491#391C2312yes—
492#391C2312yes—
493#391C2312yes—
494#391C2312yes—
495#391C2312yes—
496#391C2312yes—
497#391C2312yes—
498#391C2314yes—
499#391C2312yes—
500#391C2312yes—
501#391C2312yes—
502#390C2314yes—
503#390C2314yes—
504#390C2312yes—
505#390C2312yes—
506#390C2312yes—
507#390C2312yes—
508#390C2312yes—
509#390C2311yescharacteristic
510#390C2312yes—
511#390C2312yes—
512#390C2314yes—
513#390C2312yes—
514#390C2314yes—
515#390C2314yes—
516#390C2311yescharacteristic
517#390C2311yescharacteristic
518#390C2311yescharacteristic
519#390C2312yes—
520#390C2312yes—
521#390C2312yes—
522#390C2311yescharacteristic
523#390C2312yes—
524#390C2314yes—
525#390C2314yes—
526#390C2312yes—
527#390C2312yes—
528#390C2314yes—
529#390C2312yes—
530#390C2312yes—
531#390C2312yes—
532#390C2311yescharacteristic
533#389C2311yescharacteristic
534#389C2312yes—
535#389C2312yes—
536#389C2311yescharacteristic
537#389C2311yescharacteristic
538#389C2311yescharacteristic
539#389C2312yes—
540#389C2311yescharacteristic
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2311yescharacteristic
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2311yescharacteristic
553#389C2311yescharacteristic
554#389C2312yes—
555#389C2312yes—
556#389C2314yes—
557#389C2314yes—
558#389C2312yes—
559#389C2312yes—
560#389C2311yescharacteristic
561#389C2312yes—
562#389C2311yescharacteristic
563#388C2312yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2312yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2312yes—
575#388C2312yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2312yes—
588#388C2314yes—
589#388C2312yes—
590#388C2312yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2312yes—
595#388C2312yes—
596#388C2312yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2312yes—
601#388C2312yes—
602#388C2312yes—
603#388C2312yes—
604#388C2312yes—
605#388C2314yes—
606#388C2314yes—
607#388C2312yes—
608#388C2314yes—
609#388C2312yes—
610#388C2312yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2312yes—
615#388C2312yes—
616#388C2312yes—
617#388C2312yes—
618#388C2312yes—
619#388C2312yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2312yes—
628#387C2312yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2312yes—
637#387C2312yes—
638#386C2312yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2312yes—
659#386C2312yes—
660#386C2314yes—
661#386C2314yes—
662#386C2312yes—
663#386C2312yes—
664#386C2314yes—
665#386C2312yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#384C2311yescharacteristic
678#384C2311yescharacteristic
679#384C2311yescharacteristic
680#384C2312yes—
681#384C2312yes—
682#384C2312yes—
683#383C2314yes—
684#383C2314yes—
685#383C2314yes—
686#383C2312yes—
687#382C2312yes—
688#382C2312yes—
689#382C2312yes—
690#382C2314yes—
691#382C2314yes—
692#382C2312yes—
693#382C2312yes—
694#382C2312yes—
695#382C2312yes—
696#382C2311yescharacteristic
697#382C2311yescharacteristic
698#381C2314yes—
699#381C2314yes—
700#381C2314yes—
701#381C2314yes—
702#381C2314yes—
703#381C2314yes—
704#381C2312yes—
705#380C2311yescharacteristic
706#380C2312yes—
707#380C2312yes—
708#380C2312yes—
709#380C2312yes—
710#380C2312yes—
711#380C2312yes—
712#380C2314yes—
713#380C2314yes—
714#380C2312yes—
715#380C2312yes—
716#380C2314yes—
717#380C2314yes—
718#380C2314yes—
719#380C2314yes—
720#380C2312yes—
721#380C2312yes—
722#380C2311yescharacteristic
723#380C2314yes—
724#380C2312yes—
725#380C2312yes—
726#380C2311yescharacteristic
727#380C2311yescharacteristic
728#380C2312yes—
729#380C2311yescharacteristic
730#380C2311yescharacteristic
731#379C2314yes—
732#379C2314yes—
733#379C2314yes—
734#379C2314yes—
735#379C2314yes—
736C4×C4⋊C4C2314yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2314yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2311yescharacteristic
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C22⋊C4C2312yes—
769C4×C22⋊C4C2314yes—
770C4×C22⋊C4C2314yes—
771C4×C22⋊C4C2314yes—
772C4×C22⋊C4C2314yes—
773C4×C22⋊C4C2314yes—
774C4×C22⋊C4C2312yes—
775C4×C22⋊C4C2312yes—
776C4×C22⋊C4C2312yes—
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2311yescharacteristic
784C4×C22⋊C4C2311yescharacteristic
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2312yes—
805#376C2312yes—
806#376C2312yes—
807#376C2314yes—
808#376C2312yes—
809#376C2312yes—
810#376C2312yes—
811#376C2312yes—
812C2×#95C2314yes—
813C2×#95C2314yes—
814C43C2312yes—
815C43C2311yescharacteristic
816C43C2312yes—
817C43C2312yes—
818C25C2414yes—
819C2×#41—28no—
820C2×#41—28no—
821C2×#41—44no—
822C2×#41—44no—
823C2×#41—44no—
824C2×#41—82no—
825C22×Q8C2412yes—
826C22×Q8C2412yes—
827C22×Q8C2412yes—
828C22×Q8C2412yes—
829C22×D4—28no—
830C22×D4—28no—
831C22×D4—28no—
832C22×D4—44no—
833C22×D4—44no—
834C22×D4—44no—
835C22×D4C2411yescharacteristic
836C22×D4C2414yes—
837C22×D4C2412yes—
838C22×D4C2412yes—
839C22×D4C2411yescharacteristic
840C22×D4C2411yescharacteristic
841C22×D4C2412yes—
842C22×D4C2412yes—
843C22×D4C2412yes—
844C22×D4C2414yes—
845C22×D4C2414yes—
846C22×D4C2414yes—
847C22×D4C2412yes—
848C22×D4C2412yes—
849C23×C4C2412yes—
850C23×C4C2411yescharacteristic
851C23×C4C2411yescharacteristic
852C23×C4C2411yescharacteristic
853C23×C4C2412yes—
854C23×C4C2411yescharacteristic
855C23×C4C2414yes—
856C23×C4C2411yescharacteristic
857C23×C4C2414yes—
858C23×C4C2414yes—
859C23×C4C2414yes—
860C23×C4C2414yes—
861C23×C4C2414yes—
862C23×C4C2411yescharacteristic
863C23×C4C2412yes—
864C23×C4C2414yes—
865C23×C4C2412yes—
866C4⋊Q8—24no—
867C4⋊Q8—24no—
868C4⋊Q8—24no—
869C4⋊Q8—24no—
870#127#4118yes—
871#126—48no—
872#126—84no—
873#125—28no—
874#125—48no—
875#125—44no—
876#124—28no—
877#124—28no—
878#124—28no—
879#124—28no—
880#124—44no—
881#124—44no—
882#123—48no—
883#123—48no—
884#123—84no—
885C22⋊Q8—28no—
886C22⋊Q8—48no—
887C22⋊Q8—48no—
888C22⋊Q8—44no—
889C22⋊Q8—44no—
890C22⋊Q8—48no—
891C22⋊Q8—84no—
892C22⋊Q8—82no—
893#121—28no—
894#121—28no—
895#121—28no—
896#121—28no—
897#121—28no—
898#121—28no—
899#121—24no—
900#121—24no—
901#121—28no—
902#121—24no—
903#121—42no—
904#121—48no—
905#120—216no—
906#120—48no—
907#120—84no—
908C4×Q8—44no—
909C4×Q8—44no—
910C4×Q8—44no—
911C4×Q8—44no—
912C4×D4—28no—
913C4×D4—28no—
914C4×D4—28no—
915C4×D4—28no—
916C4×D4—28no—
917C4×D4—216no—
918C4×D4—28no—
919C4×D4—28no—
920C4×D4—216no—
921C4×D4—28no—
922C4×D4—24no—
923C4×D4—24no—
924C4×D4—24no—
925C4×D4—44no—
926C4×D4—44no—
927C4×D4—44no—
928C4×D4—42no—
929C4×D4—44no—
930C4×D4—44no—
931C4×D4—42no—
932C4×D4—44no—
933C4×D4—44no—
934C4×D4—44no—
935C4×D4—44no—
936C4×D4—42no—
937C4×D4—82no—
938C4×D4#4118yescomplemented
939#117—28no—
940#117—28no—
941#117—24no—
942#117—24no—
943#117—24no—
944#117—28no—
945#117—44no—
946#117—48no—
947#117—42no—
948#117—42no—
949#117—42no—
950#117—84no—
951C2×C4⋊C4—44no—
952C2×C4⋊C4—48no—
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C22⋊C4—216no—
1009C2×C22⋊C4—216no—
1010C2×C22⋊C4—48no—
1011C2×C22⋊C4—48no—
1012C2×C22⋊C4—84no—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2411yescharacteristic
1036C2×C22⋊C4C2411yescharacteristic
1037C2×C22⋊C4C2411yescharacteristic
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2411yescharacteristic
1062C2×C22⋊C4C2411yescharacteristic
1063C2×C22⋊C4C2411yescharacteristic
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C42—24no—
1082C2×C42—24no—
1083C2×C42—48no—
1084C2×C42—44no—
1085C2×C42C2412yes—
1086C2×C42C2412yes—
1087C2×C42C2412yes—
1088C2×C42C2412yes—
1089C2×C42C2414yes—
1090C2×C42C2412yes—
1091C2×C42C2412yes—
1092C2×C42C2411yescharacteristic
1093C2×C42C2412yes—
1094C2×C42C2412yes—
1095C2×C42C2412yes—
1096C2×C42C2411yescharacteristic
1097C2×C42C2411yescharacteristic
1098C2×C42C2411yescharacteristic
1099C2×C42C2411yescharacteristic
1100C2×C42C2411yescharacteristic
1101C2×C42C2412yes—
1102C2×C42C2411yescharacteristic
1103C2×C42C2411yescharacteristic
1104C2×C42C2411yescharacteristic
1105C2×C42C2412yes—
1106C2×C42C2412yes—
1107C2×C42C2412yes—
1108C2×C42C2414yes—
1109C2×C42C2412yes—
1110C2×C42C2412yes—
1111C2×C42C2412yes—
1112C2×C42C2412yes—
1113C2×C42C2411yescharacteristic
1114C2×C42C2411yescharacteristic
1115C2×C42C2414yes—
1116C2×C42C2412yes—
1117C2×C42C2412yes—
1118C2×C42C2414yes—
1119C2×C42C2414yes—
1120C2×C42C2412yes—
1121C2×C42C2411yescharacteristic
1122C2×C42C2411yescharacteristic
1123#95C2411yescharacteristic
1124#95C2412yes—
1125#95C2412yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2411yescharacteristic
1132#95C2412yes—
1133#95C2411yescharacteristic
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2411yescharacteristic
1159#95C2414yes—
1160#95C2411yescharacteristic
1161#95C2414yes—
1162#95C2412yes—
1163#95C2411yescharacteristic
1164#95C2412yes—
1165#95C2412yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2412yes—
1169#95C2414yes—
1170#95C2412yes—
1171#95C2414yes—
1172#95C2412yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2412yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2412yes—
1185#95C2414yes—
1186#95C2412yes—
1187#95C2414yes—
1188#95C2414yes—
1189C24—28no—
1190C24—28no—
1191C24—44no—
1192C24—44no—
1193C24—44no—
1194C24—44no—
1195C24—44no—
1196C24C2512yes—
1197C24C2511yescharacteristic
1198C24C2511yescharacteristic
1199C24C2512yes—
1200C24C2514yes—
1201#41—816no—
1202#41—816no—
1203C2×Q8—24no—
1204C2×Q8—24no—
1205C2×Q8—24no—
1206C2×Q8—24no—
1207C2×Q8—24no—
1208C2×Q8—24no—
1209C2×Q8—42no—
1210C2×Q8—42no—
1211C2×Q8—42no—
1212C2×Q8—42no—
1213C2×Q8—42no—
1214C2×Q8—42no—
1215C2×D4—28no—
1216C2×D4—28no—
1217C2×D4—28no—
1218C2×D4—24no—
1219C2×D4—24no—
1220C2×D4—28no—
1221C2×D4—28no—
1222C2×D4—24no—
1223C2×D4—22no—
1224C2×D4—22no—
1225C2×D4—22no—
1226C2×D4—24no—
1227C2×D4—22no—
1228C2×D4—24no—
1229C2×D4—24no—
1230C2×D4—22no—
1231C2×D4—24no—
1232C2×D4—22no—
1233C2×D4—41no—
1234C2×D4—41no—
1235C2×D4—42no—
1236C2×D4—44no—
1237C2×D4—42no—
1238C2×D4—42no—
1239C2×D4—42no—
1240C2×D4—42no—
1241C2×D4—42no—
1242C2×D4—44no—
1243C2×D4—42no—
1244C2×D4—42no—
1245C2×D4—44no—
1246C2×D4—44no—
1247C2×D4—42no—
1248C2×D4—42no—
1249C2×D4—42no—
1250C2×D4—44no—
1251C2×D4—44no—
1252C2×D4—44no—
1253C2×D4—432no—
1254C2×D4—816no—
1255C2×D4C2×#4114yes—
1256C2×D4C2×#4118yes—
1257C2×D4C2×#4118yes—
1258C2×D4C2×#4118yes—
1259C22×C4—28no—
1260C22×C4—28no—
1261C22×C4—28no—
1262C22×C4—22no—
1263C22×C4—22no—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—22no—
1267C22×C4—24no—
1268C22×C4—22no—
1269C22×C4—22no—
1270C22×C4—24no—
1271C22×C4—24no—
1272C22×C4—24no—
1273C22×C4—22no—
1274C22×C4—22no—
1275C22×C4—28no—
1276C22×C4—24no—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—24no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—28no—
1285C22×C4—28no—
1286C22×C4—28no—
1287C22×C4—42no—
1288C22×C4—42no—
1289C22×C4—44no—
1290C22×C4—41no—
1291C22×C4—44no—
1292C22×C4—44no—
1293C22×C4—42no—
1294C22×C4—44no—
1295C22×C4—42no—
1296C22×C4—44no—
1297C22×C4—44no—
1298C22×C4—44no—
1299C22×C4—44no—
1300C22×C4—44no—
1301C22×C4—41no—
1302C22×C4—42no—
1303C22×C4—44no—
1304C22×C4—41no—
1305C22×C4—44no—
1306C22×C4—44no—
1307C22×C4—44no—
1308C22×C4—44no—
1309C22×C4C2×#4118yes—
1310C22×C4C2512yes—
1311C22×C4C2511yescharacteristic
1312C22×C4C2512yes—
1313C22×C4C2514yes—
1314C22×C4C2511yescharacteristic
1315C22×C4C2511yescharacteristic
1316C22×C4C2511yescharacteristic
1317C22×C4C2514yes—
1318C22×C4C2512yes—
1319C22×C4C2512yes—
1320C22×C4C2511yescharacteristic
1321C22×C4C2512yes—
1322C22×C4C2512yes—
1323C22×C4C2512yes—
1324C22×C4C2511yescharacteristic
1325C22×C4C2512yes—
1326C22×C4C2511yescharacteristic
1327C22×C4C2512yes—
1328C22×C4C2512yes—
1329C22×C4C2512yes—
1330C22×C4C2512yes—
1331C22×C4C2514yes—
1332C22×C4C2511yescharacteristic
1333C22×C4C2512yes—
1334C22×C4C2511yescharacteristic
1335C22×C4C2511yescharacteristic
1336C22×C4C2512yes—
1337C22×C4C2511yescharacteristic
1338C22×C4C2511yescharacteristic
1339C22×C4C2511yescharacteristic
1340C4⋊C4—22no—
1341C4⋊C4—24no—
1342C4⋊C4—24no—
1343C4⋊C4—24no—
1344C4⋊C4—24no—
1345C4⋊C4—22no—
1346C4⋊C4—22no—
1347C4⋊C4—22no—
1348C4⋊C4—22no—
1349C4⋊C4—24no—
1350C4⋊C4—24no—
1351C4⋊C4—24no—
1352C4⋊C4—24no—
1353C4⋊C4—22no—
1354C4⋊C4—24no—
1355C4⋊C4—28no—
1356C4⋊C4—24no—
1357C4⋊C4—22no—
1358C4⋊C4—28no—
1359C4⋊C4—28no—
1360C4⋊C4—22no—
1361C4⋊C4—22no—
1362C4⋊C4—22no—
1363C4⋊C4—22no—
1364C4⋊C4—22no—
1365C4⋊C4—22no—
1366C4⋊C4—22no—
1367C4⋊C4—42no—
1368C4⋊C4—44no—
1369C4⋊C4—44no—
1370C4⋊C4—42no—
1371C4⋊C4—44no—
1372C4⋊C4—44no—
1373C4⋊C4—44no—
1374C4⋊C4—41no—
1375C4⋊C4—42no—
1376C4⋊C4—42no—
1377C4⋊C4—42no—
1378C4⋊C4—42no—
1379C4⋊C4—42no—
1380C4⋊C4—42no—
1381C4⋊C4—44no—
1382C4⋊C4—42no—
1383C4⋊C4—42no—
1384C4⋊C4—42no—
1385C4⋊C4—42no—
1386C4⋊C4—44no—
1387C4⋊C4—44no—
1388C4⋊C4—44no—
1389C4⋊C4—42no—
1390C4⋊C4—44no—
1391C4⋊C4—44no—
1392C4⋊C4—44no—
1393C4⋊C4C2×#4114yes—
1394C4⋊C4H(5,𝔽2)14yes—
1395C22⋊C4—28no—
1396C22⋊C4—24no—
1397C22⋊C4—24no—
1398C22⋊C4—28no—
1399C22⋊C4—28no—
1400C22⋊C4—28no—
1401C22⋊C4—28no—
1402C22⋊C4—28no—
1403C22⋊C4—28no—
1404C22⋊C4—24no—
1405C22⋊C4—24no—
1406C22⋊C4—28no—
1407C22⋊C4—28no—
1408C22⋊C4—24no—
1409C22⋊C4—24no—
1410C22⋊C4—24no—
1411C22⋊C4—24no—
1412C22⋊C4—22no—
1413C22⋊C4—22no—
1414C22⋊C4—24no—
1415C22⋊C4—28no—
1416C22⋊C4—24no—
1417C22⋊C4—28no—
1418C22⋊C4—24no—
1419C22⋊C4—24no—
1420C22⋊C4—22no—
1421C22⋊C4—42no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4—42no—
1426C22⋊C4—44no—
1427C22⋊C4—44no—
1428C22⋊C4—44no—
1429C22⋊C4—42no—
1430C22⋊C4—42no—
1431C22⋊C4—42no—
1432C22⋊C4—42no—
1433C22⋊C4—42no—
1434C22⋊C4—44no—
1435C22⋊C4—41no—
1436C22⋊C4—41no—
1437C22⋊C4—44no—
1438C22⋊C4—42no—
1439C22⋊C4—44no—
1440C22⋊C4—42no—
1441C22⋊C4—44no—
1442C22⋊C4—42no—
1443C22⋊C4—42no—
1444C22⋊C4—42no—
1445C22⋊C4—41no—
1446C22⋊C4—42no—
1447C22⋊C4—44no—
1448C22⋊C4—44no—
1449C22⋊C4—42no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—44no—
1454C22⋊C4—42no—
1455C22⋊C4—44no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—42no—
1459C22⋊C4—42no—
1460C22⋊C4—42no—
1461C22⋊C4—42no—
1462C22⋊C4C2×#4118yes—
1463C42—22no—
1464C42—22no—
1465C42—22no—
1466C42—22no—
1467C42—22no—
1468C42—22no—
1469C42—24no—
1470C42—24no—
1471C42—28no—
1472C42—24no—
1473C42—24no—
1474C42—24no—
1475C42—24no—
1476C42—22no—
1477C42—24no—
1478C42—22no—
1479C42—24no—
1480C42—24no—
1481C42—24no—
1482C42—24no—
1483C42—22no—
1484C42—44no—
1485C42—42no—
1486C42—42no—
1487C42—44no—
1488C42—42no—
1489C42—42no—
1490C42—42no—
1491C42—42no—
1492C42—44no—
1493C42—42no—
1494C42—42no—
1495C42—41no—
1496C42—41no—
1497C42—44no—
1498C42—42no—
1499C42C2×#4114yes—
1500C42C2×#4114yes—
1501C23—24no—
1502C23—22no—
1503C23—22no—
1504C23—24no—
1505C23—22no—
1506C23—22no—
1507C23—24no—
1508C23—24no—
1509C23—22no—
1510C23—24no—
1511C23—24no—
1512C23—22no—
1513C23—22no—
1514C23—21no—
1515C23—21no—
1516C23—22no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—22no—
1521C23—21no—
1522C23—22no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—22no—
1528C23—21no—
1529C23—21no—
1530C23—22no—
1531C23—21no—
1532C23—22no—
1533C23—21no—
1534C23—416no—
1535C23—88no—
1536C23—88no—
1537C23—88no—
1538C23—88no—
1539C23—164no—
1540C23—164no—
1541C23C22×#4118yes—
1542C23C22×#4114yes—
1543C23C2611yescharacteristic
1544Q8—48no—
1545Q8—84no—
1546Q8—84no—
1547Q8—84no—
1548D4—28no—
1549D4—216no—
1550D4—216no—
1551D4—48no—
1552D4—44no—
1553D4—416no—
1554D4—44no—
1555D4—84no—
1556D4—84no—
1557D4—84no—
1558D4—88no—
1559D4—88no—
1560D4—88no—
1561D4—84no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—21no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—22no—
1581C2×C4—21no—
1582C2×C4—24no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—24no—
1590C2×C4—24no—
1591C2×C4—21no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—21no—
1597C2×C4—22no—
1598C2×C4—24no—
1599C2×C4—21no—
1600C2×C4—24no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—21no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—21no—
1610C2×C4—22no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—22no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—24no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—21no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—24no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—21no—
1630C2×C4—22no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—24no—
1639C2×C4—24no—
1640C2×C4—48no—
1641C2×C4—44no—
1642C2×C4—416no—
1643C2×C4—44no—
1644C2×C4—44no—
1645C2×C4—48no—
1646C2×C4—44no—
1647C2×C4—48no—
1648C2×C4—44no—
1649C2×C4—88no—
1650C2×C4—82no—
1651C2×C4—88no—
1652C2×C4—88no—
1653C2×C4—88no—
1654C2×C4—88no—
1655C2×C4—84no—
1656C2×C4—164no—
1657C2×C4C22×#4114yes—
1658C2×C4C22×#4112yes—
1659C2×C4C22×#4112yes—
1660C2×C4C22×#4112yes—
1661C2×C4C22×#4112yes—
1662C2×C4C22×#4112yes—
1663C2×C4C22×#4112yes—
1664C2×C4C2×H(5,𝔽2)14yes—
1665C2×C4C2×H(5,𝔽2)12yes—
1666C2×C4#58512yes—
1667C2×C4#58512yes—
1668C2×C4#58512yes—
1669C22—24no—
1670C22—28no—
1671C22—28no—
1672C22—24no—
1673C22—24no—
1674C22—28no—
1675C22—44no—
1676C22—42no—
1677C22—44no—
1678C22—42no—
1679C22—42no—
1680C22—44no—
1681C22—42no—
1682C22—44no—
1683C22—41no—
1684C22—41no—
1685C22—42no—
1686C22—41no—
1687C22—41no—
1688C22—42no—
1689C22—41no—
1690C22—42no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—42no—
1695C22—41no—
1696C22—41no—
1697C22—42no—
1698C22—41no—
1699C22—42no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—42no—
1704C22—1616no—
1705C22C23×#4111yescharacteristic
1706C22C23×#4111yescharacteristic
1707C22C22×H(5,𝔽2)11yescharacteristic
1708C22C2×#58511yescharacteristic
1709C22C2×#58511yescharacteristic
1710C22C2×#58511yescharacteristic
1711C22H(7,𝔽2)11yescharacteristic
1712C4—22no—
1713C4—22no—
1714C4—22no—
1715C4—24no—
1716C4—22no—
1717C4—24no—
1718C4—42no—
1719C4—44no—
1720C4—42no—
1721C4—42no—
1722C4—44no—
1723C4—41no—
1724C4—42no—
1725C4—42no—
1726C4—42no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4—42no—
1731C4—44no—
1732C4—42no—
1733C4—42no—
1734C4—42no—
1735C4—41no—
1736C4—42no—
1737C4—41no—
1738C4—41no—
1739C4—42no—
1740C4#347514yes—
1741C4#351414yes—
1742C2—48no—
1743C2—44no—
1744C2—81no—
1745C2—81no—
1746C2—82no—
1747C2C2×#347511yescharacteristic
1748C2C2×#351411yescharacteristic
1749C2#6278111yescharacteristic
1750C2#6293711yescharacteristic
1751C2#6298611yescharacteristic
1752C2#6299011yescharacteristic
1753C2#6302411yescharacteristic
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. #59823C2semidirect
2. #59807C2semidirect
3. #59586C2semidirect
4. #59562C2semidirect
5. #59546C2semidirect
6. #59269C2semidirect
7. #59041C2semidirect
8. #59035C2semidirect
9. #45006C2semidirect
10. #44912C2semidirect
11. #43632C2semidirect
12. #43522C2semidirect
13. #39537C2semidirect
14. #39515C2semidirect
15. #39024C2semidirect
16. #38932C2semidirect
17. #38732C2semidirect
18. #38272C2semidirect
19. #36476C2semidirect
20. #36459C2semidirect
21. #36315C2semidirect
22. #36293C2semidirect
23. #36272C2semidirect
24. #36238C2semidirect
25. #36174C2semidirect
26. #36149C2semidirect
27. #36044C2semidirect
28. #36022C2semidirect
29. #34913C2semidirect
30. #34800C2semidirect
31. #34310C2semidirect
32. #34261C2semidirect
33. #34232C2semidirect
34. C4×#555C2semidirect
35. #34155C2semidirect
37. C2×#554C22semidirect
38. C2×#552C22semidirect
44. #2862C22semidirect
47. #2859C22semidirect
48. #2857C22semidirect
49. #2857C22semidirect
50. #2855C22semidirect
51. #2850C22semidirect
52. #2798C22semidirect
53. #2797C22semidirect
54. #2786C22semidirect
55. #2778C22semidirect
56. #2771C22semidirect
57. #2764C22semidirect
58. #2759C22semidirect
59. #2756C22semidirect
60. #2749C22semidirect
61. #2743C22semidirect
62. #2735C22semidirect
63. #2732C22semidirect
64. #2714C22semidirect
65. #2702C22semidirect
66. #2696C22semidirect
67. #2694C22semidirect
68. #2690C22semidirect
69. #2687C22semidirect
70. #2685C22semidirect
73. #2648C22semidirect
74. #2647C22semidirect
75. #2635C22semidirect
76. #2628C22semidirect
77. #2611C22semidirect
78. #2607C22semidirect
79. #2597C22semidirect
81. #2591C22semidirect
82. #2589C22semidirect
83. #2581C22semidirect
85. #2578C22semidirect
86. #2577C22semidirect
87. #2576C22semidirect
88. #2575C22semidirect
89. #2570C22semidirect
92. #2562C22semidirect
93. #2561C22semidirect
94. #2560C22semidirect
95. #2560C22semidirect
96. #2554C22semidirect
97. #2553C22semidirect
98. #2552C22semidirect
99. #2552C22semidirect
102. #2542C22semidirect
103. #2539C22semidirect
104. #2538C22semidirect
105. #2538C22semidirect
106. #2538C22semidirect
110. #2535C22semidirect
111. #2532C22semidirect
112. #2532C22semidirect
113. #2531C22semidirect
114. #2531C22semidirect
115. #2529C22semidirect
116. #2526C22semidirect
117. #2526C22semidirect
118. #2526C22semidirect
119. #2518C22semidirect
120. #2518C22semidirect
121. #2518C22semidirect
122. #2515C22semidirect
123. #2514C22semidirect
125. #2510C22semidirect
126. #2508C22semidirect
128. #2497C22semidirect
129. #2497C22semidirect
130. #2496C22semidirect
131. #2496C22semidirect
132. #2495C22semidirect
133. #2495C22semidirect
134. #2495C22semidirect
135. #2495C22semidirect
136. #2494C22semidirect
137. #2492C22semidirect
140. #2490C22semidirect
141. #2489C22semidirect
142. #2489C22semidirect
143. #2489C22semidirect
144. #2488C22semidirect
145. #2488C22semidirect
146. #2486C22semidirect
147. #2485C22semidirect
148. #2485C22semidirect
149. #2485C22semidirect
150. #2482C22semidirect
151. #2481C22semidirect
152. #2480C22semidirect
153. #2479C22semidirect
154. #2477C22semidirect
155. #2472C22semidirect
156. #2472C22semidirect
157. #2472C22semidirect
158. #2471C22semidirect
159. #2461C22semidirect
160. #2461C22semidirect
161. #2459C22semidirect
162. #2454C22semidirect
163. #2454C22semidirect
165. #2447C22semidirect
166. #2447C22semidirect
167. #2442C22semidirect
168. #2439C22semidirect
169. #2438C22semidirect
172. #2427C22semidirect
173. #2427C22semidirect
175. #2423C22semidirect
181. #2420C22semidirect
182. #2420C22semidirect
184. #2417C22semidirect
185. #2415C22semidirect
187. #2412C22semidirect
188. #2411C22semidirect
193. #2407C22semidirect
194. #2407C22semidirect
196. #2401C22semidirect
197. #2398C22semidirect
198. #2395C22semidirect
199. #2392C22semidirect
200. #2372C22semidirect
201. #2372C22semidirect
202. #2372C22semidirect
203. #2369C22semidirect
204. #2369C22semidirect
205. #2369C22semidirect
209. #2365C22semidirect
210. #2365C22semidirect
214. #2363C22semidirect
215. #2363C22semidirect
216. #2363C22semidirect
217. #2363C22semidirect
218. #2363C22semidirect
219. #2363C22semidirect
220. #2363C22semidirect
222. #2360C22semidirect
225. #2355C22semidirect
228. #2354C22semidirect
229. #2354C22semidirect
230. #2354C22semidirect
231. #2353C22semidirect
232. #2353C22semidirect
233. #2352C22semidirect
234. #2349C22semidirect
236. D4×C4⋊C4C22semidirect
237. #2347C22semidirect
238. #2346C22semidirect
239. #2346C22semidirect
240. #2346C22semidirect
241. #2346C22semidirect
242. #2342C22semidirect
243. #2342C22semidirect
244. #2342C22semidirect
245. #2341C22semidirect
246. #2339C22semidirect
247. #2339C22semidirect
248. #2339C22semidirect
254. #2333C22semidirect
258. #2319C22semidirect
259. #2318C22semidirect
260. #2314C22semidirect
261. #2312C22semidirect
262. C4×C4⋊Q8C22semidirect
263. C4×C4⋊Q8C22semidirect
265. C4×#125C22semidirect
266. C4×#124C22semidirect
267. C4×#124C22semidirect
268. C4×#124C22semidirect
269. C4×#124C22semidirect
270. C4×#124C22semidirect
271. C4×C22⋊Q8C22semidirect
277. C4×#121C22semidirect
278. #2298C22semidirect
279. #2297C22semidirect
280. #2295C22semidirect
283. #2293C22semidirect
284. #2293C22semidirect
286. #2290C22semidirect
287. C2×#388C22semidirect
288. #2283C22semidirect
289. #2283C22semidirect
290. #2275C22semidirect
292. C42×D4C22semidirect
293. C42×D4C22semidirect
294. C42×D4C22semidirect
295. C4×#117C22semidirect
296. C4×#117C22semidirect
297. C4×#117C22semidirect
298. C4×#117C22semidirect
938. C4×D4#41semidirect

Maximal subgroups

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

subgroupindex
#598232
#598072
#595862
#595622
#595462
#592692
#590412
#590352
#450062
#449122
#436322
#435222
#395372
#395152
#390242
#389322
#387322
#382722
#364762
#364592
#363152
#362932
#362722
#362382
#361742
#361492
#360442
#360222
#349132
#348002
#343102
#342612
#342322
C4×#5552
#341552