Finite Group Databasebeta

← #7710668

Subgroups — #7710668

Order 512.

5316 conjugacy classes of subgroups.

The subgroup lattice has 1797 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59679C211yesmaximal, characteristic, complemented
2#59678C211yesmaximal, characteristic, complemented
3#59413C211yesmaximal, characteristic, complemented
4#59412C211yesmaximal, characteristic, complemented
5#59232C212yesmaximal, complemented
6#59038C212yesmaximal, complemented
7#46121C214yesmaximal, complemented
8#45669C212yesmaximal, complemented
9#45647C212yesmaximal, complemented
10#40118C212yesmaximal, complemented
11#40044C212yesmaximal, complemented
12#39248C212yesmaximal, complemented
13#39127C211yesmaximal, characteristic, complemented
14#39124C211yesmaximal, characteristic, complemented
15#39034C212yesmaximal, complemented
16#38910C211yesmaximal, characteristic, complemented
17#38909C211yesmaximal, characteristic, complemented
18#38589C214yesmaximal, complemented
19#38350C214yesmaximal, complemented
20#38202C212yesmaximal, complemented
21#38201C212yesmaximal, complemented
22#37573C212yesmaximal, complemented
23#36882C214yesmaximal, complemented
24#36631C211yesmaximal, characteristic, complemented
25#36631C211yesmaximal, characteristic, complemented
26#36590C211yesmaximal, characteristic, complemented
27#36583C211yesmaximal, characteristic, complemented
28#36136C212yesmaximal, complemented
29#36114C211yesmaximal, characteristic, complemented
30#36111C212yesmaximal, complemented
31D4×#124C211yesmaximal, characteristic, complemented
32#35135C212yesmaximal, complemented
33#35131C212yesmaximal, complemented
34#34495C212yesmaximal, complemented
35C4×#529C211yesmaximal, characteristic, complemented
36C2×#557C2211yescharacteristic, complemented
37C2×#550C2211yescharacteristic
38C2×D4×Q8C2211yescharacteristic
39C2×#546C2212yes—
40C2×D42C2211yescharacteristic
41C2×#529C2211yescharacteristic
42C2×#529C2211yescharacteristic
43C2×#529C2212yescomplemented
44C2×#529C2212yescomplemented
45C2×#529C2211yescharacteristic, complemented
46C22×#124C2212yes—
47#2861C2212yes—
48#2861C2211yescharacteristic
49#2861C2212yescomplemented
50#2861C2211yescharacteristic, complemented
51#2860C2212yescomplemented
52#2860C2212yescomplemented
53#2860C2212yescomplemented
54#2860C2212yescomplemented
55#2859C2211yescharacteristic, complemented
56#2859C2211yescharacteristic, complemented
57#2858C2211yescharacteristic
58#2858C2211yescharacteristic
59#2858C2212yescomplemented
60#2857C2211yescharacteristic, complemented
61#2857C2211yescharacteristic, complemented
62#2856C2211yescharacteristic
63#2856C2211yescharacteristic
64#2854C2212yescomplemented
65#2854C2212yescomplemented
66#2854C2212yescomplemented
67#2854C2212yescomplemented
68#2851C2212yescomplemented
69#2850C2212yes—
70#2850C2211yescharacteristic
71#2850C2211yescharacteristic, complemented
72#2850C2212yescomplemented
73#2838C2214yescomplemented
74#2829C2214yescomplemented
75#2808C2214yescomplemented
76#2800C2214yescomplemented
77#2796C2214yescomplemented
78#2784C2214yescomplemented
79#2781C2214yescomplemented
80#2778C2214yescomplemented
81#2778C2214yescomplemented
82#2757C2214yescomplemented
83#2756C2214yescomplemented
84#2752C2214yescomplemented
85#2751C2214yescomplemented
86#2742C2214yescomplemented
87#2741C2214yescomplemented
88#2737C2214yescomplemented
89#2735C2214yescomplemented
90#2735C2214yescomplemented
91#2725C2214yescomplemented
92#2723C2214yescomplemented
93#2714C2214yescomplemented
94#2707C2214yescomplemented
95#2704C2214yescomplemented
96#2699C2214yescomplemented
97#2696C2214yescomplemented
98#2693C2214yescomplemented
99#2691C2214yescomplemented
100#2685C2214yes—
101#2685C2214yescomplemented
102#2678C2214yes—
103#2678C2214yes—
104#2678C2214yescomplemented
105#2671C2214yescomplemented
106#2668C2214yescomplemented
107#2662C2214yescomplemented
108#2662C2214yescomplemented
109#2654C2214yescomplemented
110#2653C2214yescomplemented
111#2649C2214yescomplemented
112#2649C2214yescomplemented
113#2629C2212yescomplemented
114#2628C2212yescomplemented
115#2624C2212yes—
116#2624C2212yescomplemented
117#2610C2214yescomplemented
118#2610C2214yescomplemented
119#2597C2214yescomplemented
120#2594C2214yescomplemented
121#2582C2211yescharacteristic, complemented
122#2572C2214yescomplemented
123#2566C2212yescomplemented
124#2563C2212yescomplemented
125#2562C2212yescomplemented
126#2562C2212yescomplemented
127#2559C2214yescomplemented
128#2557C2214yescomplemented
129#2556C2214yescomplemented
130#2554C2214yescomplemented
131#2554C2214yescomplemented
132#2550C2212yescomplemented
133#2548C2211yescharacteristic
134#2548C2211yescharacteristic
135#2548C2212yescomplemented
136#2547C2211yescharacteristic
137#2547C2211yescharacteristic, complemented
138#2547C2212yescomplemented
139#2545C2212yes—
140#2545C2212yescomplemented
141#2544C2212yes—
142#2544C2212yescomplemented
143#2540C2212yes—
144#2540C2212yescomplemented
145#2538C2211yescharacteristic
146#2538C2211yescharacteristic
147#2538C2212yescomplemented
148#2537C2211yescharacteristic
149#2535C2212yes—
150#2535C2212yes—
151#2530C2214yescomplemented
152#2529C2214yescomplemented
153#2525C2214yescomplemented
154#2521C2214yescomplemented
155#2518C2214yescomplemented
156#2514C2212yescomplemented
157#2513C2212yes—
158#2513C2212yescomplemented
159#2512C2212yescomplemented
160#2512C2212yescomplemented
161#2511C2212yescomplemented
162#2496C2212yescomplemented
163#2494C2212yescomplemented
164#2491C2212yes—
165#2491C2212yes—
166#2490C2212yes—
167#2490C2214yescomplemented
168#2490C2214yescomplemented
169#2490C2212yescomplemented
170#2490C2212yescomplemented
171#2489C2212yescomplemented
172#2487C2212yescomplemented
173#2485C2212yescomplemented
174#2480C2214yescomplemented
175#2480C2214yescomplemented
176#2479C2214yescomplemented
177#2479C2214yescomplemented
178#2479C2214yescomplemented
179#2474C2214yescomplemented
180#2472C2214yes—
181#2472C2214yes—
182#2470C2214yescomplemented
183#2470C2214yescomplemented
184#2466C2214yescomplemented
185#2466C2214yescomplemented
186#2459C2214yescomplemented
187#2456C2214yescomplemented
188#2456C2214yescomplemented
189#2454C2212yes—
190#2454C2212yescomplemented
191#2453C2212yescomplemented
192#2451C2212yescomplemented
193#2448C2212yes—
194#2447C2212yescomplemented
195#2436C2212yes—
196#2436C2212yescomplemented
197#2435C2212yes—
198#2435C2212yes—
199#2434C2212yescomplemented
200#2433C2212yes—
201#2429C2212yescomplemented
202#2429C2212yescomplemented
203#2428C2212yes—
204#2428C2212yescomplemented
205#2427C2212yescomplemented
206#2426C2212yes—
207#2424C2214yes—
208#2423C2212yescomplemented
209#2422C2212yes—
210#2422C2212yes—
211#2421C2212yescomplemented
212#2421C2212yescomplemented
213#2420C2212yescomplemented
214#2418C2214yescomplemented
215#2416C2212yescomplemented
216#2414C2212yes—
217#2411C2214yescomplemented
218#2411C2214yescomplemented
219#2409C2212yescomplemented
220#2408C2212yes—
221#2408C2212yes—
222#2408C2212yes—
223#2407C2212yes—
224#2407C2212yescomplemented
225#2376C2214yescomplemented
226#2375C2214yescomplemented
227#2367C2212yes—
228#2367C2212yescomplemented
229#2367C2212yescomplemented
230#2363C2214yescomplemented
231#2363C2214yescomplemented
232#2362C2212yescomplemented
233#2361C2212yes—
234#2358C2214yescomplemented
235#2357C2212yescomplemented
236#2355C2211yescharacteristic, complemented
237#2354C2211yescharacteristic
238#2352C2212yescomplemented
239Q8×C4⋊C4C2211yescharacteristic, complemented
240D4×C4⋊C4C2211yescharacteristic, complemented
241#2347C2212yescomplemented
242#2344C2212yescomplemented
243#2342C2214yescomplemented
244#2341C2212yescomplemented
245#2341C2212yescomplemented
246Q8×C22⋊C4C2212yescomplemented
247D4×C22⋊C4C2212yes—
248D4×C22⋊C4C2212yes—
249D4×C22⋊C4C2212yes—
250#2335C2214yescomplemented
251#2334C2214yescomplemented
252#2333C2214yescomplemented
253#2324C2212yes—
254#2323C2212yescomplemented
255#2321C2214yescomplemented
256#2321C2214yescomplemented
257#2312C2214yescomplemented
258#2311C2212yescomplemented
259#2309C2212yes—
260C4×C4⋊Q8C2211yescharacteristic, complemented
261C4×C4⋊Q8C2211yescharacteristic, complemented
262C4×#127C2211yescharacteristic
263C4×#127C2211yescharacteristic
264C4×#125C2211yescharacteristic, complemented
265C4×#125C2212yescomplemented
266C4×#125C2211yescharacteristic, complemented
267C4×#126C2212yescomplemented
268C4×#126C2212yescomplemented
269C4×#124C2211yescharacteristic
270C4×#124C2211yescharacteristic
271C4×#124C2211yescharacteristic
272C4×#124C2212yescomplemented
273C4×#124C2211yescharacteristic, complemented
274C4×#124C2212yescomplemented
275C4×C22⋊Q8C2211yescharacteristic, complemented
276C4×C22⋊Q8C2211yescharacteristic, complemented
277C4×#123C2212yescomplemented
278C4×#123C2212yescomplemented
279C4×#121C2211yescharacteristic
280C4×#121C2211yescharacteristic
281C4×#121C2212yescomplemented
282C4×#121C2212yescomplemented
283C4×#121C2212yescomplemented
284C4×#121C2212yescomplemented
285#2298C2212yescomplemented
286#2295C2211yescharacteristic, complemented
287#2293C2211yescharacteristic
288#2293C2212yescomplemented
289#2293C2212yescomplemented
290#2293C2212yescomplemented
291#2293C2212yescomplemented
292#2290C2212yescomplemented
293#2283C2211yescharacteristic, complemented
294C42×Q8C2211yescharacteristic, complemented
295C42×D4C2211yescharacteristic
296C42×D4C2212yescomplemented
297C4×#117C2212yescomplemented
298C2×C43C2211yescharacteristic, complemented
299C22×#41C2312yes—
300C23×Q8C2312yes—
301C23×D4C2312yes—
302C23×D4C2312yes—
303#557—44no—
304#550—44no—
305D4×Q8—44no—
306#546—216no—
307D42—44no—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×#127C2311yescharacteristic
313C2×#127C2311yescharacteristic
314C2×#127C2312yes—
315#529—28no—
316#529—44no—
317#529—44no—
318#529—48no—
319#529—48no—
320C2×#126C2312yes—
321C2×#126C2314yes—
322C2×#126C2312yes—
323C2×#126C2312yes—
324C2×#126C2314yes—
325C2×#126C2314yes—
326C2×#125C2311yescharacteristic
327C2×#125C2312yes—
328C2×#125C2312yes—
329C2×#125C2311yescharacteristic
330C2×#125C2311yescharacteristic
331C2×#125C2314yes—
332C2×#124—48no—
333C2×#124C2312yes—
334C2×#124C2311yescharacteristic
335C2×#124C2311yescharacteristic
336C2×#124C2312yes—
337C2×#124C2311yescharacteristic
338C2×#124C2311yescharacteristic
339C2×#124C2312yes—
340C2×#124C2312yes—
341C2×#124C2314yes—
342C2×#124C2314yes—
343C2×#124C2312yes—
344C2×#124C2312yes—
345C2×#124C2311yescharacteristic
346C2×#123C2314yes—
347C2×#123C2312yes—
348C2×#123C2312yes—
349C2×#123C2312yes—
350C2×#123C2314yes—
351C2×#123C2314yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2311yescharacteristic
354C2×C22⋊Q8C2311yescharacteristic
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2312yes—
357C2×C22⋊Q8C2311yescharacteristic
358C2×C22⋊Q8C2312yes—
359C2×C22⋊Q8C2314yes—
360C2×#121C2312yes—
361C2×#121C2314yes—
362C2×#121C2311yescharacteristic
363C2×#121C2311yescharacteristic
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#121C2311yescharacteristic
367C2×#121C2312yes—
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2312yes—
371C2×#121C2314yes—
372C2×#121C2312yes—
373C2×#121C2312yes—
374C2×#121C2314yes—
375C2×#121C2312yes—
376C2×#120C2314yes—
377C2×#120C2314yes—
378C2×#120C2314yes—
379C2×#120C2314yes—
380C2×C4×Q8C2311yescharacteristic
381C2×C4×Q8C2311yescharacteristic
382C2×C4×Q8C2311yescharacteristic
383C2×C4×Q8C2311yescharacteristic
384C2×C4×Q8C2312yes—
385C2×C4×Q8C2312yes—
386C2×C4×Q8C2312yes—
387C2×C4×Q8C2311yescharacteristic
388C2×C4×Q8C2312yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2311yescharacteristic
392C2×C4×D4C2311yescharacteristic
393C2×C4×D4C2311yescharacteristic
394C2×C4×D4C2312yes—
395C2×C4×D4C2311yescharacteristic
396C2×C4×D4C2312yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2314yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2311yescharacteristic
404C2×C4×D4C2312yes—
405C2×C4×D4C2312yes—
406C2×C4×D4C2314yes—
407C2×C4×D4C2312yes—
408C2×C4×D4C2312yes—
409C2×#117C2312yes—
410C2×#117C2312yes—
411C2×#117C2312yes—
412C2×#117C2312yes—
413C2×#117C2314yes—
414C2×#117C2314yes—
415C2×#117C2312yes—
416C22×C4⋊C4C2312yes—
417C22×C22⋊C4C2314yes—
418C22×C22⋊C4C2314yes—
419C22×C22⋊C4C2314yes—
420C22×C42C2311yescharacteristic
421C22×C42C2312yes—
422C22×C42C2311yescharacteristic
423C22×C42C2311yescharacteristic
424C22×C42C2311yescharacteristic
425C22×C42C2311yescharacteristic
426C22×C42C2311yescharacteristic
427C22×C42C2311yescharacteristic
428#401C2314yes—
429#400C2314yes—
430#400C2314yes—
431#400C2314yes—
432#400C2314yes—
433#400C2314yes—
434#400C2314yes—
435#399C2314yes—
436#399C2314yes—
437#399C2314yes—
438#399C2314yes—
439#399C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#396C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#395C2314yes—
473#395C2314yes—
474#395C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
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#393C2314yes—
497#393C2314yes—
498#393C2314yes—
499#393C2314yes—
500#393C2314yes—
501#392C2314yes—
502#392C2314yes—
503#392C2314yes—
504#392C2314yes—
505#392C2314yes—
506#392C2314yes—
507#392C2314yes—
508#391C2311yescharacteristic
509#391C2311yescharacteristic
510#391C2312yes—
511#391C2311yescharacteristic
512#391C2312yes—
513#391C2314yes—
514#391C2312yes—
515#391C2312yes—
516#391C2314yes—
517#391C2311yescharacteristic
518#391C2311yescharacteristic
519#391C2312yes—
520#391C2312yes—
521#391C2311yescharacteristic
522#391C2312yes—
523#390C2311yescharacteristic
524#390C2311yescharacteristic
525#390C2312yes—
526#390C2312yes—
527#390C2312yes—
528#390C2312yes—
529#390C2312yes—
530#390C2314yes—
531#390C2311yescharacteristic
532#390C2312yes—
533#390C2314yes—
534#390C2312yes—
535#390C2312yes—
536#390C2314yes—
537#390C2312yes—
538#390C2312yes—
539#390C2312yes—
540#390C2312yes—
541#390C2312yes—
542#390C2312yes—
543#390C2314yes—
544#390C2314yes—
545#390C2314yes—
546#390C2314yes—
547#390C2312yes—
548#390C2312yes—
549#390C2312yes—
550#390C2312yes—
551#390C2314yes—
552#390C2314yes—
553#390C2312yes—
554#390C2312yes—
555#390C2312yes—
556#390C2312yes—
557#390C2311yescharacteristic
558#390C2311yescharacteristic
559#390C2312yes—
560#390C2312yes—
561#390C2312yes—
562#390C2314yes—
563#390C2312yes—
564#390C2314yes—
565#390C2314yes—
566#390C2311yescharacteristic
567#390C2312yes—
568#389C2312yes—
569#389C2311yescharacteristic
570#389C2311yescharacteristic
571#389C2312yes—
572#389C2311yescharacteristic
573#389C2311yescharacteristic
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2314yes—
580#389C2312yes—
581#389C2312yes—
582#389C2312yes—
583#389C2314yes—
584#389C2312yes—
585#389C2312yes—
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2312yes—
591#389C2312yes—
592#389C2312yes—
593#389C2312yes—
594#389C2312yes—
595#389C2312yes—
596#389C2314yes—
597#389C2314yes—
598#388C2312yes—
599#388C2312yes—
600#388C2312yes—
601#388C2312yes—
602#388C2312yes—
603#388C2312yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2312yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2312yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2312yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2312yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2312yes—
634#388C2312yes—
635#388C2314yes—
636#388C2312yes—
637#388C2314yes—
638#388C2312yes—
639#388C2312yes—
640#388C2312yes—
641#388C2312yes—
642#388C2314yes—
643#388C2314yes—
644#388C2312yes—
645#388C2312yes—
646#388C2314yes—
647#388C2312yes—
648#388C2312yes—
649#388C2314yes—
650#388C2314yes—
651#388C2312yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2312yes—
656#388C2314yes—
657#388C2312yes—
658#388C2314yes—
659#387C2312yes—
660#387C2312yes—
661#387C2312yes—
662#387C2312yes—
663#387C2312yes—
664#387C2312yes—
665#387C2312yes—
666#387C2314yes—
667#387C2314yes—
668#387C2312yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2312yes—
694#386C2312yes—
695#386C2312yes—
696#386C2314yes—
697#386C2314yes—
698#386C2312yes—
699#386C2314yes—
700#386C2314yes—
701#386C2312yes—
702#386C2312yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2312yes—
715#385C2312yes—
716#384C2311yescharacteristic
717#384C2311yescharacteristic
718#384C2311yescharacteristic
719#384C2311yescharacteristic
720#384C2312yes—
721#383C2312yes—
722#383C2314yes—
723#382C2311yescharacteristic
724#382C2311yescharacteristic
725#382C2311yescharacteristic
726#382C2314yes—
727#382C2312yes—
728#382C2311yescharacteristic
729#382C2312yes—
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#380C2314yes—
745#380C2314yes—
746#380C2314yes—
747#380C2312yes—
748#380C2312yes—
749#380C2314yes—
750#380C2314yes—
751#380C2312yes—
752#380C2312yes—
753#380C2312yes—
754#379C2314yes—
755#379C2314yes—
756#379C2314yes—
757#379C2314yes—
758#379C2314yes—
759#379C2314yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810#376C2312yes—
811#376C2312yes—
812C43C2311yescharacteristic
813C43C2311yescharacteristic
814C43C2311yescharacteristic
815C43C2312yes—
816C43C2311yescharacteristic
817C43C2311yescharacteristic
818C43C2311yescharacteristic
819C43C2311yescharacteristic
820C43C2311yescharacteristic
821C25C2414yes—
822C2×#41—28no—
823C2×#41—44no—
824C2×#41—44no—
825C22×Q8—44no—
826C22×Q8—44no—
827C22×Q8—44no—
828C22×Q8C2411yescharacteristic
829C22×Q8C2412yes—
830C22×Q8C2411yescharacteristic
831C22×Q8C2411yescharacteristic
832C22×Q8C2414yes—
833C22×D4—28no—
834C22×D4—44no—
835C22×D4—44no—
836C22×D4—44no—
837C22×D4—44no—
838C22×D4—44no—
839C22×D4C2411yescharacteristic
840C22×D4C2412yes—
841C22×D4C2412yes—
842C22×D4C2411yescharacteristic
843C22×D4C2412yes—
844C22×D4C2411yescharacteristic
845C22×D4C2414yes—
846C22×D4C2412yes—
847C22×D4C2412yes—
848C22×D4C2412yes—
849C22×D4C2412yes—
850C22×D4C2414yes—
851C22×D4C2412yes—
852C22×D4C2414yes—
853C22×D4C2414yes—
854C22×D4C2414yes—
855C22×D4C2414yes—
856C23×C4C2412yes—
857C23×C4C2412yes—
858C23×C4C2411yescharacteristic
859C23×C4C2411yescharacteristic
860C23×C4C2412yes—
861C23×C4C2412yes—
862C23×C4C2411yescharacteristic
863C23×C4C2411yescharacteristic
864C23×C4C2411yescharacteristic
865C23×C4C2411yescharacteristic
866C23×C4C2412yes—
867C23×C4C2414yes—
868C23×C4C2414yes—
869C23×C4C2411yescharacteristic
870C23×C4C2414yes—
871C23×C4C2414yes—
872C4⋊Q8—24no—
873C4⋊Q8—44no—
874C4⋊Q8—42no—
875C4⋊Q8—44no—
876#127—24no—
877#127—42no—
878#127—44no—
879#126—28no—
880#126—48no—
881#126—48no—
882#126—44no—
883#126—44no—
884#126—48no—
885#125—24no—
886#125—28no—
887#125—42no—
888#125—42no—
889#125—44no—
890#125—48no—
891#124—24no—
892#124—28no—
893#124—24no—
894#124—48no—
895#124—48no—
896#124—44no—
897#124—44no—
898#124—44no—
899#124—44no—
900#124—44no—
901#124—42no—
902#124—42no—
903#124#4118yes—
904#123—28no—
905#123—216no—
906#123—48no—
907#123—48no—
908#123—44no—
909#123—44no—
910C22⋊Q8—24no—
911C22⋊Q8—28no—
912C22⋊Q8—48no—
913C22⋊Q8—42no—
914C22⋊Q8—42no—
915C22⋊Q8—44no—
916C22⋊Q8—44no—
917C22⋊Q8—44no—
918#121—24no—
919#121—28no—
920#121—216no—
921#121—48no—
922#121—48no—
923#121—44no—
924#121—44no—
925#121—44no—
926#121—44no—
927#121—42no—
928#121—42no—
929#121—44no—
930#121—44no—
931#121—44no—
932#121—44no—
933#121—44no—
934#120—216no—
935#120—48no—
936#120—48no—
937#120—48no—
938C4×Q8—24no—
939C4×Q8—24no—
940C4×Q8—24no—
941C4×Q8—24no—
942C4×Q8—42no—
943C4×Q8—44no—
944C4×Q8—44no—
945C4×Q8—44no—
946C4×Q8—44no—
947C4×D4—24no—
948C4×D4—28no—
949C4×D4—28no—
950C4×D4—28no—
951C4×D4—24no—
952C4×D4—24no—
953C4×D4—24no—
954C4×D4—44no—
955C4×D4—42no—
956C4×D4—44no—
957C4×D4—44no—
958C4×D4—44no—
959C4×D4—44no—
960C4×D4—44no—
961C4×D4—44no—
962C4×D4—44no—
963C4×D4—44no—
964C4×D4—48no—
965C4×D4—48no—
966C4×D4—44no—
967#117—28no—
968#117—44no—
969#117—44no—
970#117—44no—
971#117—48no—
972#117—48no—
973#117—44no—
974C2×C4⋊C4—44no—
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C22⋊C4—216no—
1032C2×C22⋊C4—48no—
1033C2×C22⋊C4—48no—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2414yes—
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⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C42—24no—
1105C2×C42—28no—
1106C2×C42—24no—
1107C2×C42—24no—
1108C2×C42—42no—
1109C2×C42—42no—
1110C2×C42—42no—
1111C2×C42—42no—
1112C2×C42C2411yescharacteristic
1113C2×C42C2411yescharacteristic
1114C2×C42C2412yes—
1115C2×C42C2411yescharacteristic
1116C2×C42C2411yescharacteristic
1117C2×C42C2412yes—
1118C2×C42C2412yes—
1119C2×C42C2412yes—
1120C2×C42C2411yescharacteristic
1121C2×C42C2411yescharacteristic
1122C2×C42C2411yescharacteristic
1123C2×C42C2412yes—
1124C2×C42C2412yes—
1125C2×C42C2411yescharacteristic
1126C2×C42C2411yescharacteristic
1127C2×C42C2412yes—
1128C2×C42C2411yescharacteristic
1129C2×C42C2412yes—
1130C2×C42C2411yescharacteristic
1131C2×C42C2411yescharacteristic
1132C2×C42C2411yescharacteristic
1133C2×C42C2411yescharacteristic
1134C2×C42C2411yescharacteristic
1135C2×C42C2414yes—
1136C2×C42C2414yes—
1137C2×C42C2412yes—
1138C2×C42C2414yes—
1139C2×C42C2412yes—
1140C2×C42C2414yes—
1141C2×C42C2412yes—
1142C2×C42C2414yes—
1143C2×C42C2411yescharacteristic
1144C2×C42C2411yescharacteristic
1145C2×C42C2411yescharacteristic
1146C2×C42C2411yescharacteristic
1147C2×C42C2411yescharacteristic
1148C2×C42C2411yescharacteristic
1149C2×C42C2411yescharacteristic
1150C2×C42C2411yescharacteristic
1151C2×C42C2411yescharacteristic
1152C2×C42C2411yescharacteristic
1153C2×C42C2411yescharacteristic
1154C2×C42C2411yescharacteristic
1155C2×C42C2411yescharacteristic
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2412yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2412yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2414yes—
1202#95C2414yes—
1203#95C2412yes—
1204#95C2414yes—
1205#95C2414yes—
1206#95C2414yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2414yes—
1210C24—28no—
1211C24—44no—
1212C24—44no—
1213C24—44no—
1214C24—44no—
1215C24—44no—
1216C24—44no—
1217C24C2512yes—
1218C24C2514yes—
1219C24C2512yes—
1220C24C2512yes—
1221C24C2511yescharacteristic
1222#41—816no—
1223C2×Q8—22no—
1224C2×Q8—22no—
1225C2×Q8—22no—
1226C2×Q8—22no—
1227C2×Q8—24no—
1228C2×Q8—24no—
1229C2×Q8—22no—
1230C2×Q8—22no—
1231C2×Q8—22no—
1232C2×Q8—24no—
1233C2×Q8—22no—
1234C2×Q8—44no—
1235C2×Q8—44no—
1236C2×Q8—44no—
1237C2×Q8—816no—
1238C2×Q8C2×#4114yes—
1239C2×D4—24no—
1240C2×D4—24no—
1241C2×D4—28no—
1242C2×D4—28no—
1243C2×D4—24no—
1244C2×D4—28no—
1245C2×D4—24no—
1246C2×D4—24no—
1247C2×D4—24no—
1248C2×D4—28no—
1249C2×D4—22no—
1250C2×D4—22no—
1251C2×D4—22no—
1252C2×D4—22no—
1253C2×D4—24no—
1254C2×D4—24no—
1255C2×D4—24no—
1256C2×D4—22no—
1257C2×D4—24no—
1258C2×D4—22no—
1259C2×D4—24no—
1260C2×D4—22no—
1261C2×D4—24no—
1262C2×D4—22no—
1263C2×D4—24no—
1264C2×D4—42no—
1265C2×D4—42no—
1266C2×D4—42no—
1267C2×D4—44no—
1268C2×D4—44no—
1269C2×D4—42no—
1270C2×D4—42no—
1271C2×D4—44no—
1272C2×D4—44no—
1273C2×D4—44no—
1274C2×D4—44no—
1275C2×D4—42no—
1276C2×D4—42no—
1277C2×D4—42no—
1278C2×D4—44no—
1279C2×D4—42no—
1280C2×D4—44no—
1281C2×D4—42no—
1282C2×D4—42no—
1283C2×D4—44no—
1284C2×D4—44no—
1285C2×D4—44no—
1286C2×D4—44no—
1287C2×D4—44no—
1288C2×D4—44no—
1289C2×D4—816no—
1290C2×D4—816no—
1291C2×D4C2×#4114yes—
1292C22×C4—24no—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—22no—
1296C22×C4—22no—
1297C22×C4—22no—
1298C22×C4—22no—
1299C22×C4—24no—
1300C22×C4—24no—
1301C22×C4—24no—
1302C22×C4—22no—
1303C22×C4—22no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—24no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—24no—
1310C22×C4—24no—
1311C22×C4—24no—
1312C22×C4—22no—
1313C22×C4—22no—
1314C22×C4—22no—
1315C22×C4—24no—
1316C22×C4—24no—
1317C22×C4—24no—
1318C22×C4—28no—
1319C22×C4—28no—
1320C22×C4—24no—
1321C22×C4—41no—
1322C22×C4—41no—
1323C22×C4—41no—
1324C22×C4—41no—
1325C22×C4—41no—
1326C22×C4—41no—
1327C22×C4—42no—
1328C22×C4—44no—
1329C22×C4—44no—
1330C22×C4—44no—
1331C22×C4—44no—
1332C22×C4—44no—
1333C22×C4—44no—
1334C22×C4—42no—
1335C22×C4—44no—
1336C22×C4—42no—
1337C22×C4—44no—
1338C22×C4—44no—
1339C22×C4—44no—
1340C22×C4C2511yescharacteristic
1341C22×C4C2511yescharacteristic
1342C22×C4C2512yes—
1343C22×C4C2512yes—
1344C22×C4C2512yes—
1345C22×C4C2512yes—
1346C22×C4C2512yes—
1347C22×C4C2512yes—
1348C22×C4C2512yes—
1349C22×C4C2512yes—
1350C22×C4C2514yes—
1351C22×C4C2514yes—
1352C22×C4C2511yescharacteristic
1353C22×C4C2511yescharacteristic
1354C22×C4C2511yescharacteristic
1355C22×C4C2512yes—
1356C22×C4C2512yes—
1357C22×C4C2512yes—
1358C22×C4C2514yes—
1359C22×C4C2511yescharacteristic
1360C22×C4C2512yes—
1361C22×C4C2511yescharacteristic
1362C22×C4C2511yescharacteristic
1363C22×C4C2512yes—
1364C22×C4C2511yescharacteristic
1365C22×C4C2511yescharacteristic
1366C22×C4C2511yescharacteristic
1367C22×C4C2511yescharacteristic
1368C22×C4C2511yescharacteristic
1369C22×C4C2511yescharacteristic
1370C4⋊C4—24no—
1371C4⋊C4—24no—
1372C4⋊C4—24no—
1373C4⋊C4—22no—
1374C4⋊C4—24no—
1375C4⋊C4—24no—
1376C4⋊C4—22no—
1377C4⋊C4—24no—
1378C4⋊C4—28no—
1379C4⋊C4—28no—
1380C4⋊C4—28no—
1381C4⋊C4—22no—
1382C4⋊C4—22no—
1383C4⋊C4—22no—
1384C4⋊C4—24no—
1385C4⋊C4—24no—
1386C4⋊C4—24no—
1387C4⋊C4—22no—
1388C4⋊C4—24no—
1389C4⋊C4—22no—
1390C4⋊C4—22no—
1391C4⋊C4—24no—
1392C4⋊C4—24no—
1393C4⋊C4—24no—
1394C4⋊C4—22no—
1395C4⋊C4—24no—
1396C4⋊C4—22no—
1397C4⋊C4—24no—
1398C4⋊C4—24no—
1399C4⋊C4—44no—
1400C4⋊C4—42no—
1401C4⋊C4—42no—
1402C4⋊C4—42no—
1403C4⋊C4—44no—
1404C4⋊C4—44no—
1405C4⋊C4—42no—
1406C4⋊C4—42no—
1407C4⋊C4—42no—
1408C4⋊C4—42no—
1409C4⋊C4—42no—
1410C4⋊C4—42no—
1411C4⋊C4—42no—
1412C4⋊C4—42no—
1413C4⋊C4—42no—
1414C4⋊C4—44no—
1415C4⋊C4—44no—
1416C4⋊C4—44no—
1417C4⋊C4—44no—
1418C4⋊C4—42no—
1419C4⋊C4—42no—
1420C4⋊C4—44no—
1421C4⋊C4—44no—
1422C4⋊C4—44no—
1423C4⋊C4—44no—
1424C4⋊C4—42no—
1425C4⋊C4—42no—
1426C22⋊C4—28no—
1427C22⋊C4—24no—
1428C22⋊C4—24no—
1429C22⋊C4—24no—
1430C22⋊C4—24no—
1431C22⋊C4—28no—
1432C22⋊C4—28no—
1433C22⋊C4—24no—
1434C22⋊C4—24no—
1435C22⋊C4—24no—
1436C22⋊C4—24no—
1437C22⋊C4—28no—
1438C22⋊C4—28no—
1439C22⋊C4—24no—
1440C22⋊C4—24no—
1441C22⋊C4—24no—
1442C22⋊C4—24no—
1443C22⋊C4—24no—
1444C22⋊C4—24no—
1445C22⋊C4—28no—
1446C22⋊C4—44no—
1447C22⋊C4—44no—
1448C22⋊C4—44no—
1449C22⋊C4—44no—
1450C22⋊C4—42no—
1451C22⋊C4—44no—
1452C22⋊C4—42no—
1453C22⋊C4—42no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
1456C22⋊C4—42no—
1457C22⋊C4—42no—
1458C22⋊C4—42no—
1459C22⋊C4—42no—
1460C22⋊C4—42no—
1461C22⋊C4—42no—
1462C22⋊C4—42no—
1463C22⋊C4—42no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—42no—
1467C22⋊C4—42no—
1468C22⋊C4—44no—
1469C22⋊C4—44no—
1470C22⋊C4—44no—
1471C22⋊C4—44no—
1472C22⋊C4—42no—
1473C22⋊C4—42no—
1474C22⋊C4—44no—
1475C22⋊C4—44no—
1476C22⋊C4—44no—
1477C22⋊C4—44no—
1478C22⋊C4—44no—
1479C22⋊C4—42no—
1480C22⋊C4—44no—
1481C22⋊C4—42no—
1482C22⋊C4—42no—
1483C22⋊C4—42no—
1484C22⋊C4—44no—
1485C22⋊C4—44no—
1486C22⋊C4—44no—
1487C22⋊C4—44no—
1488C22⋊C4—44no—
1489C22⋊C4—44no—
1490C22⋊C4—44no—
1491C22⋊C4—44no—
1492C22⋊C4—44no—
1493C22⋊C4—44no—
1494C22⋊C4C2×#4118yes—
1495C22⋊C4C2×#4118yes—
1496C42—22no—
1497C42—22no—
1498C42—22no—
1499C42—24no—
1500C42—22no—
1501C42—22no—
1502C42—24no—
1503C42—22no—
1504C42—24no—
1505C42—22no—
1506C42—24no—
1507C42—22no—
1508C42—22no—
1509C42—24no—
1510C42—24no—
1511C42—24no—
1512C42—22no—
1513C42—22no—
1514C42—22no—
1515C42—22no—
1516C42—22no—
1517C42—22no—
1518C42—24no—
1519C42—41no—
1520C42—41no—
1521C42—41no—
1522C42—41no—
1523C42—41no—
1524C42—41no—
1525C42—41no—
1526C42—41no—
1527C42—41no—
1528C42—41no—
1529C42—42no—
1530C42—44no—
1531C42—44no—
1532C42—44no—
1533C42—42no—
1534C42—42no—
1535C42—44no—
1536C42—44no—
1537C42C2×#4114yes—
1538C42H(5,𝔽2)14yes—
1539C42H(5,𝔽2)14yes—
1540C23—21no—
1541C23—22no—
1542C23—21no—
1543C23—21no—
1544C23—22no—
1545C23—22no—
1546C23—22no—
1547C23—21no—
1548C23—22no—
1549C23—22no—
1550C23—21no—
1551C23—21no—
1552C23—22no—
1553C23—24no—
1554C23—22no—
1555C23—22no—
1556C23—24no—
1557C23—22no—
1558C23—22no—
1559C23—22no—
1560C23—24no—
1561C23—24no—
1562C23—22no—
1563C23—24no—
1564C23—22no—
1565C23—24no—
1566C23—22no—
1567C23—22no—
1568C23—22no—
1569C23—22no—
1570C23—24no—
1571C23—22no—
1572C23—22no—
1573C23—88no—
1574C23—88no—
1575C23—88no—
1576C23—88no—
1577C23—88no—
1578C23—164no—
1579C23—164no—
1580C23C22×#4114yes—
1581C23#58512yes—
1582C23C2611yescharacteristic
1583Q8—28no—
1584Q8—44no—
1585Q8—48no—
1586Q8—44no—
1587Q8—88no—
1588D4—28no—
1589D4—48no—
1590D4—48no—
1591D4—44no—
1592D4—48no—
1593D4—44no—
1594D4—84no—
1595D4—84no—
1596D4—84no—
1597D4—88no—
1598D4—88no—
1599D4—88no—
1600D4—84no—
1601D4—84no—
1602D4—88no—
1603D4—88no—
1604D4—164no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—22no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—22no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—22no—
1622C2×C4—24no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—22no—
1640C2×C4—24no—
1641C2×C4—24no—
1642C2×C4—24no—
1643C2×C4—24no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—22no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—24no—
1667C2×C4—22no—
1668C2×C4—22no—
1669C2×C4—24no—
1670C2×C4—22no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—24no—
1674C2×C4—22no—
1675C2×C4—22no—
1676C2×C4—24no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—22no—
1681C2×C4—22no—
1682C2×C4—44no—
1683C2×C4—44no—
1684C2×C4—48no—
1685C2×C4—44no—
1686C2×C4—44no—
1687C2×C4—44no—
1688C2×C4—44no—
1689C2×C4—48no—
1690C2×C4—48no—
1691C2×C4—44no—
1692C2×C4—48no—
1693C2×C4—84no—
1694C2×C4—88no—
1695C2×C4—88no—
1696C2×C4—88no—
1697C2×C4—88no—
1698C2×C4C22×#4112yes—
1699C2×C4C22×#4112yes—
1700C2×C4C22×#4114yes—
1701C2×C4C22×#4112yes—
1702C2×C4C2×H(5,𝔽2)12yes—
1703C2×C4C2×H(5,𝔽2)12yes—
1704C2×C4C2×H(5,𝔽2)12yes—
1705C2×C4C2×H(5,𝔽2)12yes—
1706C2×C4C2×H(5,𝔽2)12yes—
1707C2×C4C2×H(5,𝔽2)12yes—
1708C2×C4#58512yes—
1709C2×C4#58512yes—
1710C2×C4#58512yes—
1711C22—22no—
1712C22—24no—
1713C22—24no—
1714C22—22no—
1715C22—24no—
1716C22—22no—
1717C22—42no—
1718C22—41no—
1719C22—42no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—42no—
1724C22—42no—
1725C22—42no—
1726C22—44no—
1727C22—42no—
1728C22—42no—
1729C22—44no—
1730C22—42no—
1731C22—42no—
1732C22—42no—
1733C22—44no—
1734C22—44no—
1735C22—42no—
1736C22—42no—
1737C22—42no—
1738C22—42no—
1739C22—44no—
1740C22—42no—
1741C22—42no—
1742C22—44no—
1743C22—42no—
1744C22—44no—
1745C22—42no—
1746C22—1616no—
1747C22C23×#4111yescharacteristic
1748C22C22×H(5,𝔽2)11yescharacteristic
1749C22C22×H(5,𝔽2)11yescharacteristic
1750C22C2×#58511yescharacteristic
1751C22C2×#58511yescharacteristic
1752C22C2×#58511yescharacteristic
1753C22C2×#58511yescharacteristic
1754C4—22no—
1755C4—24no—
1756C4—22no—
1757C4—22no—
1758C4—22no—
1759C4—22no—
1760C4—22no—
1761C4—41no—
1762C4—42no—
1763C4—42no—
1764C4—44no—
1765C4—42no—
1766C4—41no—
1767C4—42no—
1768C4—44no—
1769C4—41no—
1770C4—42no—
1771C4—42no—
1772C4—42no—
1773C4—44no—
1774C4—41no—
1775C4—42no—
1776C4—42no—
1777C4—41no—
1778C4—41no—
1779C4—42no—
1780C4—42no—
1781C4—42no—
1782C4#351414yes—
1783C4#354614yes—
1784C2—42no—
1785C2—44no—
1786C2—82no—
1787C2—84no—
1788C2—82no—
1789C2C2×#354611yescharacteristic
1790C2#6274811yescharacteristic
1791C2C2×#351411yescharacteristic
1792C2#6280011yescharacteristic
1793C2#6281611yescharacteristic
1794C2#6282711yescharacteristic
1795C2#6283011yescharacteristic
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. #59679C2semidirect
2. #59678C2semidirect
3. #59413C2semidirect
4. #59412C2semidirect
5. #59232C2semidirect
6. #59038C2semidirect
7. #46121C2semidirect
8. #45669C2semidirect
9. #45647C2semidirect
10. #40118C2semidirect
11. #40044C2semidirect
12. #39248C2semidirect
13. #39127C2semidirect
14. #39124C2semidirect
15. #39034C2semidirect
16. #38910C2semidirect
17. #38909C2semidirect
18. #38589C2semidirect
19. #38350C2semidirect
20. #38202C2semidirect
21. #38201C2semidirect
22. #37573C2semidirect
23. #36882C2semidirect
24. #36631C2semidirect
25. #36631C2semidirect
26. #36590C2semidirect
27. #36583C2semidirect
28. #36136C2semidirect
29. #36114C2semidirect
30. #36111C2semidirect
31. D4×#124C2semidirect
32. #35135C2semidirect
33. #35131C2semidirect
34. #34495C2semidirect
35. C4×#529C2semidirect
36. C2×#557C22semidirect
43. C2×#529C22semidirect
44. C2×#529C22semidirect
45. C2×#529C22semidirect
49. #2861C22semidirect
50. #2861C22semidirect
51. #2860C22semidirect
52. #2860C22semidirect
53. #2860C22semidirect
54. #2860C22semidirect
55. #2859C22semidirect
56. #2859C22semidirect
59. #2858C22semidirect
60. #2857C22semidirect
61. #2857C22semidirect
64. #2854C22semidirect
65. #2854C22semidirect
66. #2854C22semidirect
67. #2854C22semidirect
68. #2851C22semidirect
71. #2850C22semidirect
72. #2850C22semidirect
73. #2838C22semidirect
74. #2829C22semidirect
75. #2808C22semidirect
76. #2800C22semidirect
77. #2796C22semidirect
78. #2784C22semidirect
79. #2781C22semidirect
80. #2778C22semidirect
81. #2778C22semidirect
82. #2757C22semidirect
83. #2756C22semidirect
84. #2752C22semidirect
85. #2751C22semidirect
86. #2742C22semidirect
87. #2741C22semidirect
88. #2737C22semidirect
89. #2735C22semidirect
90. #2735C22semidirect
91. #2725C22semidirect
92. #2723C22semidirect
93. #2714C22semidirect
94. #2707C22semidirect
95. #2704C22semidirect
96. #2699C22semidirect
97. #2696C22semidirect
98. #2693C22semidirect
99. #2691C22semidirect
101. #2685C22semidirect
104. #2678C22semidirect
105. #2671C22semidirect
106. #2668C22semidirect
107. #2662C22semidirect
108. #2662C22semidirect
109. #2654C22semidirect
110. #2653C22semidirect
111. #2649C22semidirect
112. #2649C22semidirect
113. #2629C22semidirect
114. #2628C22semidirect
116. #2624C22semidirect
117. #2610C22semidirect
118. #2610C22semidirect
119. #2597C22semidirect
120. #2594C22semidirect
121. #2582C22semidirect
122. #2572C22semidirect
123. #2566C22semidirect
124. #2563C22semidirect
125. #2562C22semidirect
126. #2562C22semidirect
127. #2559C22semidirect
128. #2557C22semidirect
129. #2556C22semidirect
130. #2554C22semidirect
131. #2554C22semidirect
132. #2550C22semidirect
135. #2548C22semidirect
137. #2547C22semidirect
138. #2547C22semidirect
140. #2545C22semidirect
142. #2544C22semidirect
144. #2540C22semidirect
147. #2538C22semidirect
151. #2530C22semidirect
152. #2529C22semidirect
153. #2525C22semidirect
154. #2521C22semidirect
155. #2518C22semidirect
156. #2514C22semidirect
158. #2513C22semidirect
159. #2512C22semidirect
160. #2512C22semidirect
161. #2511C22semidirect
162. #2496C22semidirect
163. #2494C22semidirect
167. #2490C22semidirect
168. #2490C22semidirect
169. #2490C22semidirect
170. #2490C22semidirect
171. #2489C22semidirect
172. #2487C22semidirect
173. #2485C22semidirect
174. #2480C22semidirect
175. #2480C22semidirect
176. #2479C22semidirect
177. #2479C22semidirect
178. #2479C22semidirect
179. #2474C22semidirect
182. #2470C22semidirect
183. #2470C22semidirect
184. #2466C22semidirect
185. #2466C22semidirect
186. #2459C22semidirect
187. #2456C22semidirect
188. #2456C22semidirect
190. #2454C22semidirect
191. #2453C22semidirect
192. #2451C22semidirect
194. #2447C22semidirect
196. #2436C22semidirect
199. #2434C22semidirect
201. #2429C22semidirect
202. #2429C22semidirect
204. #2428C22semidirect
205. #2427C22semidirect
208. #2423C22semidirect
211. #2421C22semidirect
212. #2421C22semidirect
213. #2420C22semidirect
214. #2418C22semidirect
215. #2416C22semidirect
217. #2411C22semidirect
218. #2411C22semidirect
219. #2409C22semidirect
224. #2407C22semidirect
225. #2376C22semidirect
226. #2375C22semidirect
228. #2367C22semidirect
229. #2367C22semidirect
230. #2363C22semidirect
231. #2363C22semidirect
232. #2362C22semidirect
234. #2358C22semidirect
235. #2357C22semidirect
236. #2355C22semidirect
238. #2352C22semidirect
239. Q8×C4⋊C4C22semidirect
240. D4×C4⋊C4C22semidirect
241. #2347C22semidirect
242. #2344C22semidirect
243. #2342C22semidirect
244. #2341C22semidirect
245. #2341C22semidirect
246. Q8×C22⋊C4C22semidirect
250. #2335C22semidirect
251. #2334C22semidirect
252. #2333C22semidirect
254. #2323C22semidirect
255. #2321C22semidirect
256. #2321C22semidirect
257. #2312C22semidirect
258. #2311C22semidirect
260. C4×C4⋊Q8C22semidirect
261. C4×C4⋊Q8C22semidirect
264. C4×#125C22semidirect
265. C4×#125C22semidirect
266. C4×#125C22semidirect
267. C4×#126C22semidirect
268. C4×#126C22semidirect
272. C4×#124C22semidirect
273. C4×#124C22semidirect
274. C4×#124C22semidirect
275. C4×C22⋊Q8C22semidirect
276. C4×C22⋊Q8C22semidirect
277. C4×#123C22semidirect
278. C4×#123C22semidirect
281. C4×#121C22semidirect
282. C4×#121C22semidirect
283. C4×#121C22semidirect
284. C4×#121C22semidirect
285. #2298C22semidirect
286. #2295C22semidirect
288. #2293C22semidirect
289. #2293C22semidirect
290. #2293C22semidirect
291. #2293C22semidirect
292. #2290C22semidirect
293. #2283C22semidirect
294. C42×Q8C22semidirect
296. C42×D4C22semidirect
297. C4×#117C22semidirect
298. C2×C43C22semidirect

Maximal subgroups

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

subgroupindex
#596792
#596782
#594132
#594122
#592322
#590382
#461212
#456692
#456472
#401182
#400442
#392482
#391272
#391242
#390342
#389102
#389092
#385892
#383502
#382022
#382012
#375732
#368822
#366312
#365902
#365832
#361362
#361142
#361112
D4×#1242
#351352
#351312
#344952
C4×#5292