Finite Group Databasebeta

← #7878787

Subgroups — #7878787

Order 512.

5238 conjugacy classes of subgroups.

The subgroup lattice has 1767 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59480C212yesmaximal, complemented
2#59444C211yesmaximal, characteristic, complemented
3#59219C211yesmaximal, characteristic, complemented
4#59218C211yesmaximal, characteristic, complemented
5#59016C212yesmaximal, complemented
6#51467C214yesmaximal, complemented
7#48097C214yesmaximal, complemented
8#46527C214yesmaximal, complemented
9#45120C212yesmaximal, complemented
10#45114C212yesmaximal, complemented
11#45088C212yesmaximal, complemented
12#44991C212yesmaximal, complemented
13#44443C214yesmaximal, complemented
14#42991C212yesmaximal, complemented
15#42618C212yesmaximal, complemented
16#39911C212yesmaximal, complemented
17#39661C212yesmaximal, complemented
18#39606C211yesmaximal, characteristic, complemented
19#39497C211yesmaximal, characteristic, complemented
20#39343C211yesmaximal, characteristic, complemented
21#38930C211yesmaximal, characteristic, complemented
22#38274C212yesmaximal, complemented
23#37837C212yesmaximal, complemented
24#36559C211yesmaximal, characteristic, complemented
25#36194C211yesmaximal, characteristic, complemented
26D4×C22⋊Q8C211yesmaximal, characteristic, complemented
27#35871C212yesmaximal, complemented
28#35832C212yesmaximal, complemented
29#35661C212yesmaximal, complemented
30#35560C212yesmaximal, complemented
31#34898C211yesmaximal, characteristic, complemented
32#34681C211yesmaximal, characteristic
33#34368C211yesmaximal, characteristic, complemented
34#34311C211yesmaximal, characteristic, complemented
35#34194C211yesmaximal, characteristic, complemented
36C2×#554C2212yescomplemented
37C2×#552C2212yescomplemented
38C2×D4×Q8C2211yescharacteristic
39C2×#536C2212yescomplemented
40C2×#532C2211yescharacteristic
41C2×#525C2212yes—
42C22×C22⋊Q8C2212yes—
43C2×#519C2212yescomplemented
44C22×C4×D4C2211yescharacteristic
45#2868C2211yescharacteristic, complemented
46#2859C2212yescomplemented
47#2857C2211yescharacteristic
48#2857C2211yescharacteristic, complemented
49#2848C2212yes—
50#2830C2214yescomplemented
51#2802C2214yescomplemented
52#2790C2214yescomplemented
53#2787C2214yescomplemented
54#2783C2214yescomplemented
55#2782C2214yes—
56#2781C2214yescomplemented
57#2768C2214yescomplemented
58#2765C2214yescomplemented
59#2765C2214yescomplemented
60#2765C2214yescomplemented
61#2751C2214yescomplemented
62#2749C2214yes—
63#2748C2214yescomplemented
64#2743C2214yes—
65#2738C2214yescomplemented
66#2736C2214yes—
67#2729C2214yescomplemented
68#2713C2214yescomplemented
69#2707C2214yescomplemented
70#2704C2214yes—
71#2704C2214yes—
72#2702C2214yescomplemented
73#2700C2214yescomplemented
74#2696C2214yes—
75#2696C2214yes—
76#2695C2214yescomplemented
77#2694C2214yescomplemented
78#2692C2214yes—
79#2691C2214yes—
80#2687C2214yescomplemented
81#2685C2214yes—
82#2674C2214yescomplemented
83#2672C2214yescomplemented
84#2666C2214yescomplemented
85#2665C2214yescomplemented
86#2653C2214yes—
87#2647C2212yescomplemented
88#2637C2214yescomplemented
89#2629C2212yescomplemented
90#2629C2212yescomplemented
91#2616C2212yescomplemented
92#2609C2214yes—
93#2601C2214yes—
94#2601C2214yescomplemented
95#2600C2214yes—
96#2597C2214yescomplemented
97#2589C2214yescomplemented
98#2587C2214yescomplemented
99#2577C2212yescomplemented
100#2575C2212yes—
101#2571C2211yescharacteristic, complemented
102#2571C2212yescomplemented
103#2570C2211yescharacteristic, complemented
104#2566C2212yes—
105#2566C2214yescomplemented
106#2565C2211yescharacteristic, complemented
107#2563C2212yes—
108#2563C2212yescomplemented
109#2562C2211yescharacteristic
110#2558C2214yescomplemented
111#2554C2214yescomplemented
112#2552C2212yescomplemented
113#2552C2211yescharacteristic, complemented
114#2551C2212yescomplemented
115#2550C2212yescomplemented
116#2549C2214yescomplemented
117#2542C2211yescharacteristic
118#2542C2211yescharacteristic, complemented
119#2538C2212yes—
120#2538C2212yes—
121#2538C2211yescharacteristic
122#2538C2212yescomplemented
123#2538C2212yescomplemented
124#2538C2211yescharacteristic, complemented
125#2536C2212yes—
126#2536C2211yescharacteristic
127#2536C2212yescomplemented
128#2536C2212yescomplemented
129#2534C2214yes—
130#2524C2212yescomplemented
131#2512C2212yescomplemented
132#2512C2212yescomplemented
133#2507C2212yescomplemented
134#2507C2212yescomplemented
135#2507C2212yescomplemented
136#2503C2212yescomplemented
137#2502C2212yescomplemented
138#2497C2212yes—
139#2497C2212yes—
140#2497C2212yes—
141#2497C2212yescomplemented
142#2496C2211yescharacteristic
143#2496C2212yescomplemented
144#2495C2211yescharacteristic, complemented
145#2494C2212yescomplemented
146#2494C2212yescomplemented
147#2492C2212yes—
148#2492C2214yescomplemented
149#2492C2212yescomplemented
150#2491C2212yescomplemented
151#2490C2212yes—
152#2486C2212yescomplemented
153#2485C2212yes—
154#2479C2214yescomplemented
155#2475C2214yescomplemented
156#2473C2214yescomplemented
157#2472C2212yes—
158#2471C2214yes—
159#2470C2214yescomplemented
160#2468C2212yes—
161#2468C2214yescomplemented
162#2466C2214yescomplemented
163#2464C2212yes—
164#2462C2214yescomplemented
165#2461C2212yes—
166#2459C2214yescomplemented
167#2458C2214yescomplemented
168#2457C2214yes—
169#2454C2212yes—
170#2452C2211yescharacteristic
171#2452C2212yes—
172#2452C2212yes—
173#2452C2212yes—
174#2452C2214yescomplemented
175#2452C2212yescomplemented
176#2450C2214yescomplemented
177#2449C2214yes—
178#2445C2212yes—
179#2445C2212yes—
180#2445C2211yescharacteristic
181#2440C2211yescharacteristic
182#2440C2212yes—
183#2440C2212yescomplemented
184#2439C2212yes—
185#2439C2212yescomplemented
186#2439C2212yescomplemented
187#2438C2214yescomplemented
188#2437C2214yes—
189#2437C2214yes—
190#2433C2211yescharacteristic
191#2429C2214yes—
192#2429C2214yescomplemented
193#2428C2211yescharacteristic
194#2426C2214yes—
195#2426C2214yescomplemented
196#2425C2214yescomplemented
197#2424C2212yes—
198#2423C2211yescharacteristic
199#2423C2212yescomplemented
200#2422C2212yes—
201#2422C2212yes—
202#2422C2211yescharacteristic
203#2421C2212yescomplemented
204#2421C2211yescharacteristic, complemented
205#2420C2212yes—
206#2417C2212yes—
207#2417C2212yes—
208#2417C2212yescomplemented
209#2417C2212yescomplemented
210#2417C2214yescomplemented
211#2416C2211yescharacteristic
212#2415C2212yescomplemented
213#2415C2212yescomplemented
214#2413C2214yescomplemented
215#2413C2214yescomplemented
216#2411C2214yes—
217#2411C2214yes—
218#2411C2214yes—
219#2409C2212yes—
220#2409C2212yescomplemented
221#2408C2211yescharacteristic
222#2402C2212yescomplemented
223#2396C2214yescomplemented
224#2395C2212yes—
225#2392C2212yes—
226#2388C2212yes—
227#2379C2214yescomplemented
228#2370C2212yescomplemented
229#2369C2212yescomplemented
230#2369C2212yescomplemented
231#2366C2212yes—
232#2365C2211yescharacteristic, complemented
233#2365C2212yescomplemented
234#2362C2214yescomplemented
235#2362C2212yescomplemented
236#2362C2212yescomplemented
237#2360C2212yescomplemented
238#2358C2214yes—
239#2357C2212yes—
240#2355C2212yescomplemented
241#2354C2212yes—
242#2354C2211yescharacteristic
243#2354C2212yes—
244#2354C2211yescharacteristic
245#2354C2212yes—
246#2354C2211yescharacteristic, complemented
247#2354C2212yescomplemented
248#2352C2212yes—
249#2352C2212yes—
250Q8×C4⋊C4C2211yescharacteristic, complemented
251D4×C4⋊C4C2211yescharacteristic
252D4×C4⋊C4C2211yescharacteristic
253D4×C4⋊C4C2212yes—
254D4×C4⋊C4C2211yescharacteristic
255D4×C4⋊C4C2211yescharacteristic, complemented
256D4×C4⋊C4C2212yescomplemented
257D4×C4⋊C4C2212yescomplemented
258#2345C2212yes—
259#2342C2214yes—
260Q8×C22⋊C4C2212yescomplemented
261D4×C22⋊C4C2212yes—
262D4×C22⋊C4C2212yes—
263#2334C2214yes—
264#2324C2212yes—
265#2324C2212yes—
266#2324C2212yescomplemented
267#2324C2214yescomplemented
268#2323C2214yescomplemented
269#2323C2212yescomplemented
270#2319C2212yes—
271#2319C2212yescomplemented
272#2318C2214yes—
273#2317C2212yescomplemented
274#2311C2212yescomplemented
275#2311C2212yescomplemented
276C4×C4⋊Q8C2211yescharacteristic, complemented
277C4×C4⋊Q8C2212yescomplemented
278C4×#127C2211yescharacteristic
279C4×#127C2212yes—
280C4×#125C2211yescharacteristic, complemented
281C4×#126C2212yes—
282C4×C22⋊Q8C2211yescharacteristic
283C4×C22⋊Q8C2211yescharacteristic, complemented
284C4×#121C2211yescharacteristic
285C4×#121C2211yescharacteristic
286C4×#120C2212yes—
287#2298C2212yescomplemented
288#2293C2211yescharacteristic
289#2293C2212yes—
290#2285C2211yescharacteristic
291#2285C2211yescharacteristic, complemented
292#2285C2211yescharacteristic, complemented
293#2283C2211yescharacteristic
294#2280C2212yes—
295C2×#380C2212yes—
296#2275C2212yes—
297C42×Q8C2211yescharacteristic, complemented
298C42×D4C2211yescharacteristic
299C22×#41C2312yes—
300C23×Q8C2312yes—
301C23×D4C2311yescharacteristic
302C24×C4C2312yes—
303#554—48no—
304#552—48no—
305D4×Q8—28no—
306#536—48no—
307#532—28no—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2314yes—
314C2×C4⋊Q8C2312yes—
315C2×#127C2311yescharacteristic
316C2×#127C2311yescharacteristic
317C2×#126C2312yes—
318C2×#126C2314yes—
319C2×#126C2314yes—
320C2×#125C2311yescharacteristic
321C2×#125C2312yes—
322C2×#125C2314yes—
323C2×#125C2314yes—
324C2×#124C2312yes—
325C2×#124C2314yes—
326#525—48no—
327C2×#123C2314yes—
328C2×#123C2314yes—
329C2×#123C2312yes—
330C2×#123C2312yes—
331C2×#123C2314yes—
332C2×#123C2314yes—
333C2×C22⋊Q8—48no—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2311yescharacteristic
339C2×C22⋊Q8C2311yescharacteristic
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2314yes—
346C2×C22⋊Q8C2314yes—
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2314yes—
351C2×C22⋊Q8C2314yes—
352C2×C22⋊Q8C2314yes—
353C2×#121C2311yescharacteristic
354C2×#121C2311yescharacteristic
355C2×#121C2311yescharacteristic
356C2×#121C2312yes—
357C2×#121C2312yes—
358C2×#121C2312yes—
359C2×#121C2311yescharacteristic
360C2×#120C2312yes—
361C2×#120C2312yes—
362C2×#120C2312yes—
363#519—48no—
364C2×C4×Q8C2312yes—
365C2×C4×Q8C2311yescharacteristic
366C2×C4×Q8C2311yescharacteristic
367C2×C4×Q8C2311yescharacteristic
368C2×C4×Q8C2314yes—
369C2×C4×Q8C2312yes—
370C2×C4×Q8C2314yes—
371C2×C4×Q8C2312yes—
372C2×C4×D4—28no—
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2312yes—
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2312yes—
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2311yescharacteristic
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2312yes—
386C2×C4×D4C2314yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2311yescharacteristic
390C2×C4×D4C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2314yes—
394C2×C4×D4C2314yes—
395C2×C4×D4C2311yescharacteristic
396C2×#117C2312yes—
397C2×#117C2312yes—
398C2×#117C2312yes—
399C2×#117C2312yes—
400C2×#117C2314yes—
401C2×#117C2312yes—
402C2×#117C2314yes—
403C2×#117C2314yes—
404C2×#117C2312yes—
405C2×#117C2312yes—
406C22×C4⋊C4C2311yescharacteristic
407C22×C4⋊C4C2312yes—
408C22×C4⋊C4C2312yes—
409C22×C4⋊C4C2312yes—
410C22×C4⋊C4C2312yes—
411C22×C4⋊C4C2314yes—
412C22×C22⋊C4C2312yes—
413C22×C22⋊C4C2314yes—
414C22×C22⋊C4C2314yes—
415C22×C42C2311yescharacteristic
416C22×C42C2311yescharacteristic
417#401C2314yes—
418#400C2312yes—
419#400C2312yes—
420#400C2314yes—
421#400C2314yes—
422#400C2314yes—
423#400C2312yes—
424#400C2312yes—
425#400C2312yes—
426#400C2314yes—
427#400C2314yes—
428#400C2314yes—
429#400C2314yes—
430#399C2312yes—
431#399C2314yes—
432#399C2314yes—
433#399C2314yes—
434#398C2312yes—
435#398C2312yes—
436#398C2312yes—
437#398C2314yes—
438#398C2312yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2312yes—
447#398C2312yes—
448#398C2314yes—
449#398C2314yes—
450#398C2314yes—
451#398C2314yes—
452#398C2314yes—
453#398C2314yes—
454#398C2314yes—
455#397C2312yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2312yes—
460#397C2312yes—
461#397C2314yes—
462#397C2314yes—
463#397C2312yes—
464#397C2314yes—
465#397C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2312yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2312yes—
480#396C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2314yes—
485#395C2314yes—
486#395C2314yes—
487#395C2314yes—
488#395C2312yes—
489#395C2314yes—
490#394C2312yes—
491#394C2312yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2312yes—
498#394C2312yes—
499#394C2314yes—
500#394C2314yes—
501#394C2312yes—
502#394C2312yes—
503#394C2312yes—
504#394C2312yes—
505#394C2314yes—
506#394C2314yes—
507#393C2314yes—
508#393C2314yes—
509#393C2314yes—
510#393C2314yes—
511#393C2314yes—
512#393C2312yes—
513#393C2314yes—
514#393C2314yes—
515#392C2312yes—
516#392C2312yes—
517#392C2312yes—
518#392C2312yes—
519#391C2312yes—
520#391C2314yes—
521#391C2311yescharacteristic
522#391C2311yescharacteristic
523#391C2314yes—
524#391C2314yes—
525#391C2312yes—
526#391C2314yes—
527#391C2314yes—
528#391C2314yes—
529#391C2312yes—
530#391C2312yes—
531#391C2314yes—
532#390C2314yes—
533#390C2312yes—
534#390C2312yes—
535#390C2311yescharacteristic
536#390C2314yes—
537#390C2311yescharacteristic
538#390C2312yes—
539#390C2312yes—
540#390C2314yes—
541#390C2311yescharacteristic
542#390C2312yes—
543#390C2314yes—
544#390C2314yes—
545#390C2312yes—
546#390C2311yescharacteristic
547#390C2312yes—
548#390C2312yes—
549#390C2314yes—
550#390C2314yes—
551#390C2312yes—
552#390C2314yes—
553#390C2311yescharacteristic
554#390C2311yescharacteristic
555#389C2311yescharacteristic
556#389C2311yescharacteristic
557#389C2311yescharacteristic
558#389C2312yes—
559#389C2314yes—
560#389C2312yes—
561#389C2311yescharacteristic
562#389C2311yescharacteristic
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2314yes—
568#389C2314yes—
569#389C2314yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2314yes—
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2314yes—
578#389C2312yes—
579#389C2314yes—
580#389C2314yes—
581#389C2314yes—
582#389C2312yes—
583#389C2312yes—
584#389C2314yes—
585#389C2312yes—
586#389C2314yes—
587#389C2312yes—
588#389C2312yes—
589#389C2311yescharacteristic
590#389C2311yescharacteristic
591#389C2314yes—
592#389C2314yes—
593#389C2311yescharacteristic
594#388C2312yes—
595#388C2312yes—
596#388C2312yes—
597#388C2312yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2312yes—
605#388C2314yes—
606#388C2312yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2312yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2312yes—
629#388C2312yes—
630#388C2312yes—
631#388C2312yes—
632#387C2312yes—
633#387C2312yes—
634#387C2312yes—
635#387C2312yes—
636#387C2312yes—
637#387C2312yes—
638#387C2312yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2312yes—
643#387C2312yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2312yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2312yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2312yes—
668#386C2312yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2312yes—
673#386C2312yes—
674#386C2312yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2312yes—
684#385C2312yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2312yes—
691#385C2314yes—
692#385C2312yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2312yes—
699#384C2312yes—
700#384C2311yescharacteristic
701#384C2311yescharacteristic
702#384C2312yes—
703#384C2311yescharacteristic
704#384C2312yes—
705#384C2311yescharacteristic
706#384C2311yescharacteristic
707#384C2312yes—
708#384C2312yes—
709#384C2311yescharacteristic
710#384C2312yes—
711#384C2312yes—
712#383C2312yes—
713#383C2312yes—
714#382C2311yescharacteristic
715#382C2314yes—
716#382C2314yes—
717#382C2311yescharacteristic
718#382C2312yes—
719#382C2311yescharacteristic
720#382C2312yes—
721#382C2312yes—
722#382C2312yes—
723#382C2312yes—
724#381C2314yes—
725#381C2314yes—
726#381C2312yes—
727#381C2314yes—
728#381C2314yes—
729#380C2311yescharacteristic
730#380C2311yescharacteristic
731#380C2311yescharacteristic
732#380C2311yescharacteristic
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2311yescharacteristic
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746#380C2314yes—
747#380C2314yes—
748#380C2312yes—
749#380C2314yes—
750#380C2314yes—
751#380C2312yes—
752#380C2312yes—
753#380C2312yes—
754#380C2314yes—
755#380C2312yes—
756#380C2314yes—
757#380C2311yescharacteristic
758#380C2311yescharacteristic
759#380C2314yes—
760#380C2312yes—
761#380C2311yescharacteristic
762#379C2314yes—
763#379C2314yes—
764#379C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2314yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2314yes—
786C4×C4⋊C4C2314yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2314yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2311yescharacteristic
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2314yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2311yescharacteristic
814C4×C22⋊C4C2311yescharacteristic
815#376C2312yes—
816C2×#95C2314yes—
817C43C2312yes—
818C43C2311yescharacteristic
819C25C2412yes—
820C2×#41—28no—
821C2×#41—44no—
822C2×#41—44no—
823C22×Q8—28no—
824C22×Q8—28no—
825C22×Q8—44no—
826C22×Q8C2412yes—
827C22×Q8C2414yes—
828C22×Q8C2411yescharacteristic
829C22×Q8C2412yes—
830C22×Q8C2414yes—
831C22×D4—24no—
832C22×D4—24no—
833C22×D4—42no—
834C22×D4C2411yescharacteristic
835C22×D4C2411yescharacteristic
836C22×D4C2412yes—
837C22×D4C2412yes—
838C22×D4C2412yes—
839C22×D4C2412yes—
840C22×D4C2411yescharacteristic
841C22×D4C2411yescharacteristic
842C22×D4C2412yes—
843C22×D4C2412yes—
844C22×D4C2412yes—
845C22×D4C2412yes—
846C22×D4C2412yes—
847C23×C4—28no—
848C23×C4—44no—
849C23×C4—44no—
850C23×C4C2412yes—
851C23×C4C2412yes—
852C23×C4C2411yescharacteristic
853C23×C4C2411yescharacteristic
854C23×C4C2411yescharacteristic
855C23×C4C2411yescharacteristic
856C23×C4C2411yescharacteristic
857C23×C4C2414yes—
858C23×C4C2411yescharacteristic
859C23×C4C2412yes—
860C23×C4C2414yes—
861C23×C4C2412yes—
862C23×C4C2412yes—
863C23×C4C2412yes—
864C23×C4C2414yes—
865C23×C4C2414yes—
866C23×C4C2414yes—
867C4⋊Q8—24no—
868C4⋊Q8—28no—
869C4⋊Q8—24no—
870C4⋊Q8—44no—
871C4⋊Q8—44no—
872C4⋊Q8—48no—
873C4⋊Q8—82no—
874#127—24no—
875#127—24no—
876#126—28no—
877#126—48no—
878#126—84no—
879#125—24no—
880#125—44no—
881#125—48no—
882#125—48no—
883#124—28no—
884#124—48no—
885#123—44no—
886#123—44no—
887#123—48no—
888#123—48no—
889#123—48no—
890#123—84no—
891C22⋊Q8—24no—
892C22⋊Q8—28no—
893C22⋊Q8—24no—
894C22⋊Q8—28no—
895C22⋊Q8—28no—
896C22⋊Q8—216no—
897C22⋊Q8—44no—
898C22⋊Q8—44no—
899C22⋊Q8—48no—
900C22⋊Q8—48no—
901C22⋊Q8—48no—
902C22⋊Q8—48no—
903C22⋊Q8—44no—
904C22⋊Q8—44no—
905C22⋊Q8—44no—
906C22⋊Q8—44no—
907C22⋊Q8—44no—
908C22⋊Q8—44no—
909C22⋊Q8—84no—
910#121—24no—
911#121—24no—
912#121—24no—
913#121—28no—
914#121—44no—
915#121—44no—
916#121—42no—
917#120—28no—
918#120—44no—
919#120—44no—
920C4×Q8—24no—
921C4×Q8—24no—
922C4×Q8—24no—
923C4×Q8—28no—
924C4×Q8—48no—
925C4×Q8—48no—
926C4×Q8—44no—
927C4×Q8—44no—
928C4×D4—24no—
929C4×D4—28no—
930C4×D4—28no—
931C4×D4—28no—
932C4×D4—28no—
933C4×D4—24no—
934C4×D4—28no—
935C4×D4—24no—
936C4×D4—24no—
937C4×D4—24no—
938C4×D4—24no—
939C4×D4—28no—
940C4×D4—48no—
941C4×D4—44no—
942C4×D4—44no—
943C4×D4—44no—
944C4×D4—42no—
945C4×D4—44no—
946C4×D4—44no—
947C4×D4—44no—
948C4×D4—84no—
949C4×D4—84no—
950C4×D4#4118yes—
951#117—28no—
952#117—44no—
953#117—48no—
954#117—48no—
955#117—48no—
956#117—44no—
957#117—44no—
958#117—44no—
959#117—82no—
960#117—82no—
961C2×C4⋊C4—24no—
962C2×C4⋊C4—44no—
963C2×C4⋊C4—48no—
964C2×C4⋊C4—44no—
965C2×C4⋊C4—44no—
966C2×C4⋊C4—44no—
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2411yescharacteristic
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2411yescharacteristic
1040C2×C22⋊C4—28no—
1041C2×C22⋊C4—48no—
1042C2×C22⋊C4—84no—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2411yescharacteristic
1052C2×C22⋊C4C2411yescharacteristic
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2411yescharacteristic
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2411yescharacteristic
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2411yescharacteristic
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2411yescharacteristic
1103C2×C42—24no—
1104C2×C42—24no—
1105C2×C42C2412yes—
1106C2×C42C2414yes—
1107C2×C42C2412yes—
1108C2×C42C2412yes—
1109C2×C42C2412yes—
1110C2×C42C2412yes—
1111C2×C42C2411yescharacteristic
1112C2×C42C2411yescharacteristic
1113C2×C42C2411yescharacteristic
1114C2×C42C2411yescharacteristic
1115C2×C42C2411yescharacteristic
1116C2×C42C2412yes—
1117C2×C42C2411yescharacteristic
1118C2×C42C2411yescharacteristic
1119C2×C42C2412yes—
1120C2×C42C2411yescharacteristic
1121C2×C42C2412yes—
1122C2×C42C2411yescharacteristic
1123C2×C42C2411yescharacteristic
1124C2×C42C2414yes—
1125C2×C42C2414yes—
1126C2×C42C2414yes—
1127C2×C42C2414yes—
1128C2×C42C2414yes—
1129C2×C42C2414yes—
1130C2×C42C2414yes—
1131C2×C42C2412yes—
1132C2×C42C2411yescharacteristic
1133C2×C42C2411yescharacteristic
1134C2×C42C2411yescharacteristic
1135#95C2412yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2411yescharacteristic
1143#95C2411yescharacteristic
1144#95C2411yescharacteristic
1145#95C2412yes—
1146#95C2411yescharacteristic
1147#95C2411yescharacteristic
1148#95C2411yescharacteristic
1149#95C2412yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2414yes—
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#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2412yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2414yes—
1182#95C2412yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2412yes—
1186#95C2414yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199C24—24no—
1200C24—24no—
1201C24—24no—
1202C24—42no—
1203C24—42no—
1204C24—42no—
1205C24—42no—
1206C24C2512yes—
1207C24C2511yescharacteristic
1208C24C2512yes—
1209C24C2511yescharacteristic
1210C24C2512yes—
1211#41—816no—
1212C2×Q8—22no—
1213C2×Q8—28no—
1214C2×Q8—24no—
1215C2×Q8—24no—
1216C2×Q8—22no—
1217C2×Q8—24no—
1218C2×Q8—24no—
1219C2×Q8—28no—
1220C2×Q8—44no—
1221C2×Q8—42no—
1222C2×Q8—42no—
1223C2×Q8—44no—
1224C2×Q8—44no—
1225C2×Q8—44no—
1226C2×Q8—432no—
1227C2×Q8H(5,𝔽2)14yes—
1228C2×D4—24no—
1229C2×D4—24no—
1230C2×D4—22no—
1231C2×D4—24no—
1232C2×D4—24no—
1233C2×D4—24no—
1234C2×D4—24no—
1235C2×D4—24no—
1236C2×D4—24no—
1237C2×D4—24no—
1238C2×D4—22no—
1239C2×D4—22no—
1240C2×D4—24no—
1241C2×D4—22no—
1242C2×D4—24no—
1243C2×D4—22no—
1244C2×D4—24no—
1245C2×D4—24no—
1246C2×D4—22no—
1247C2×D4—22no—
1248C2×D4—22no—
1249C2×D4—22no—
1250C2×D4—42no—
1251C2×D4—41no—
1252C2×D4—42no—
1253C2×D4—42no—
1254C2×D4—42no—
1255C2×D4—42no—
1256C2×D4—42no—
1257C2×D4—42no—
1258C2×D4—42no—
1259C2×D4—42no—
1260C2×D4—42no—
1261C2×D4—42no—
1262C2×D4—42no—
1263C2×D4—42no—
1264C2×D4—42no—
1265C2×D4—416no—
1266C2×D4C2×#4114yes—
1267C2×D42−1+414yes—
1268C22×C4—24no—
1269C22×C4—24no—
1270C22×C4—28no—
1271C22×C4—22no—
1272C22×C4—24no—
1273C22×C4—28no—
1274C22×C4—22no—
1275C22×C4—22no—
1276C22×C4—22no—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—24no—
1281C22×C4—24no—
1282C22×C4—28no—
1283C22×C4—24no—
1284C22×C4—24no—
1285C22×C4—24no—
1286C22×C4—24no—
1287C22×C4—22no—
1288C22×C4—22no—
1289C22×C4—22no—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—22no—
1296C22×C4—24no—
1297C22×C4—24no—
1298C22×C4—44no—
1299C22×C4—41no—
1300C22×C4—41no—
1301C22×C4—44no—
1302C22×C4—44no—
1303C22×C4—42no—
1304C22×C4—44no—
1305C22×C4—44no—
1306C22×C4—44no—
1307C22×C4—42no—
1308C22×C4—42no—
1309C22×C4—42no—
1310C22×C4—42no—
1311C22×C4—42no—
1312C22×C4—44no—
1313C22×C4—44no—
1314C22×C4—44no—
1315C22×C4—44no—
1316C22×C4—44no—
1317C22×C4—44no—
1318C22×C4—816no—
1319C22×C4C2×#4118yes—
1320C22×C4C2511yescharacteristic
1321C22×C4C2511yescharacteristic
1322C22×C4C2511yescharacteristic
1323C22×C4C2512yes—
1324C22×C4C2512yes—
1325C22×C4C2511yescharacteristic
1326C22×C4C2512yes—
1327C22×C4C2512yes—
1328C22×C4C2511yescharacteristic
1329C22×C4C2511yescharacteristic
1330C22×C4C2512yes—
1331C22×C4C2512yes—
1332C22×C4C2514yes—
1333C22×C4C2512yes—
1334C22×C4C2512yes—
1335C22×C4C2514yes—
1336C22×C4C2514yes—
1337C22×C4C2514yes—
1338C22×C4C2512yes—
1339C22×C4C2512yes—
1340C22×C4C2512yes—
1341C22×C4C2511yescharacteristic
1342C22×C4C2512yes—
1343C22×C4C2511yescharacteristic
1344C22×C4C2511yescharacteristic
1345C22×C4C2512yes—
1346C22×C4C2511yescharacteristic
1347C22×C4C2511yescharacteristic
1348C22×C4C2511yescharacteristic
1349C22×C4C2511yescharacteristic
1350C4⋊C4—24no—
1351C4⋊C4—22no—
1352C4⋊C4—24no—
1353C4⋊C4—22no—
1354C4⋊C4—24no—
1355C4⋊C4—24no—
1356C4⋊C4—22no—
1357C4⋊C4—28no—
1358C4⋊C4—24no—
1359C4⋊C4—22no—
1360C4⋊C4—22no—
1361C4⋊C4—24no—
1362C4⋊C4—24no—
1363C4⋊C4—22no—
1364C4⋊C4—24no—
1365C4⋊C4—24no—
1366C4⋊C4—28no—
1367C4⋊C4—24no—
1368C4⋊C4—24no—
1369C4⋊C4—24no—
1370C4⋊C4—22no—
1371C4⋊C4—22no—
1372C4⋊C4—22no—
1373C4⋊C4—24no—
1374C4⋊C4—28no—
1375C4⋊C4—22no—
1376C4⋊C4—24no—
1377C4⋊C4—24no—
1378C4⋊C4—28no—
1379C4⋊C4—24no—
1380C4⋊C4—24no—
1381C4⋊C4—22no—
1382C4⋊C4—24no—
1383C4⋊C4—22no—
1384C4⋊C4—24no—
1385C4⋊C4—24no—
1386C4⋊C4—24no—
1387C4⋊C4—24no—
1388C4⋊C4—24no—
1389C4⋊C4—22no—
1390C4⋊C4—44no—
1391C4⋊C4—44no—
1392C4⋊C4—44no—
1393C4⋊C4—44no—
1394C4⋊C4—44no—
1395C4⋊C4—44no—
1396C4⋊C4—42no—
1397C4⋊C4—42no—
1398C4⋊C4—44no—
1399C4⋊C4—44no—
1400C4⋊C4—44no—
1401C4⋊C4—42no—
1402C4⋊C4—42no—
1403C4⋊C4—42no—
1404C4⋊C4—41no—
1405C4⋊C4—42no—
1406C4⋊C4—42no—
1407C4⋊C4—42no—
1408C4⋊C4—44no—
1409C4⋊C4—42no—
1410C4⋊C4—44no—
1411C4⋊C4—44no—
1412C4⋊C4—44no—
1413C4⋊C4—44no—
1414C4⋊C4—42no—
1415C4⋊C4—44no—
1416C4⋊C4—44no—
1417C4⋊C4—44no—
1418C4⋊C4—44no—
1419C4⋊C4—44no—
1420C4⋊C4—42no—
1421C4⋊C4—44no—
1422C4⋊C4C2×#4114yes—
1423C22⋊C4—24no—
1424C22⋊C4—24no—
1425C22⋊C4—28no—
1426C22⋊C4—28no—
1427C22⋊C4—24no—
1428C22⋊C4—24no—
1429C22⋊C4—24no—
1430C22⋊C4—24no—
1431C22⋊C4—24no—
1432C22⋊C4—24no—
1433C22⋊C4—24no—
1434C22⋊C4—24no—
1435C22⋊C4—28no—
1436C22⋊C4—24no—
1437C22⋊C4—24no—
1438C22⋊C4—24no—
1439C22⋊C4—22no—
1440C22⋊C4—22no—
1441C22⋊C4—24no—
1442C22⋊C4—28no—
1443C22⋊C4—24no—
1444C22⋊C4—22no—
1445C22⋊C4—24no—
1446C22⋊C4—24no—
1447C22⋊C4—44no—
1448C22⋊C4—44no—
1449C22⋊C4—42no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—42no—
1454C22⋊C4—42no—
1455C22⋊C4—44no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
1463C22⋊C4—41no—
1464C22⋊C4—41no—
1465C22⋊C4—42no—
1466C22⋊C4—42no—
1467C22⋊C4—42no—
1468C22⋊C4—42no—
1469C22⋊C4—42no—
1470C22⋊C4—42no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4—44no—
1474C22⋊C4—42no—
1475C22⋊C4—44no—
1476C22⋊C4—44no—
1477C22⋊C4—44no—
1478C22⋊C4—42no—
1479C22⋊C4—42no—
1480C22⋊C4—42no—
1481C22⋊C4C2×#4118yes—
1482C22⋊C42−1+414yes—
1483C42—22no—
1484C42—22no—
1485C42—22no—
1486C42—22no—
1487C42—22no—
1488C42—22no—
1489C42—24no—
1490C42—24no—
1491C42—24no—
1492C42—28no—
1493C42—24no—
1494C42—22no—
1495C42—22no—
1496C42—24no—
1497C42—24no—
1498C42—22no—
1499C42—24no—
1500C42—24no—
1501C42—22no—
1502C42—44no—
1503C42—44no—
1504C42—44no—
1505C42—44no—
1506C42—44no—
1507C42—44no—
1508C42—44no—
1509C42—42no—
1510C42—41no—
1511C42C2×#4114yes—
1512C42H(5,𝔽2)14yes—
1513C23—22no—
1514C23—21no—
1515C23—21no—
1516C23—22no—
1517C23—22no—
1518C23—22no—
1519C23—21no—
1520C23—22no—
1521C23—22no—
1522C23—22no—
1523C23—21no—
1524C23—22no—
1525C23—22no—
1526C23—22no—
1527C23—21no—
1528C23—21no—
1529C23—22no—
1530C23—22no—
1531C23—22no—
1532C23—21no—
1533C23—21no—
1534C23—22no—
1535C23—22no—
1536C23—21no—
1537C23—21no—
1538C23—21no—
1539C23—22no—
1540C23—22no—
1541C23—21no—
1542C23—22no—
1543C23—21no—
1544C23—22no—
1545C23—48no—
1546C23—48no—
1547C23—48no—
1548C23—84no—
1549C23—84no—
1550C23—84no—
1551C23—84no—
1552C23C22×#4114yes—
1553C23C2×2−1+412yes—
1554C23C2×2−1+414yes—
1555C23C2611yescharacteristic
1556Q8—28no—
1557Q8—416no—
1558Q8—48no—
1559Q8—84no—
1560Q8—164no—
1561D4—28no—
1562D4—28no—
1563D4—48no—
1564D4—48no—
1565D4—44no—
1566D4—48no—
1567D4—48no—
1568D4—44no—
1569D4—84no—
1570D4—84no—
1571D4—84no—
1572D4—84no—
1573D4—84no—
1574C2×C4—21no—
1575C2×C4—22no—
1576C2×C4—21no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—216no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—24no—
1598C2×C4—22no—
1599C2×C4—24no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—24no—
1603C2×C4—21no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—24no—
1609C2×C4—22no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—24no—
1613C2×C4—22no—
1614C2×C4—24no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—21no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—21no—
1629C2×C4—24no—
1630C2×C4—22no—
1631C2×C4—21no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—21no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—21no—
1638C2×C4—24no—
1639C2×C4—22no—
1640C2×C4—24no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—24no—
1644C2×C4—22no—
1645C2×C4—24no—
1646C2×C4—22no—
1647C2×C4—24no—
1648C2×C4—21no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—44no—
1653C2×C4—44no—
1654C2×C4—416no—
1655C2×C4—44no—
1656C2×C4—44no—
1657C2×C4—48no—
1658C2×C4—44no—
1659C2×C4—48no—
1660C2×C4—44no—
1661C2×C4—84no—
1662C2×C4—84no—
1663C2×C4—88no—
1664C2×C4—84no—
1665C2×C4—88no—
1666C2×C4—164no—
1667C2×C4—164no—
1668C2×C4C22×#4112yes—
1669C2×C4C22×#4114yes—
1670C2×C4C22×#4112yes—
1671C2×C4C22×#4112yes—
1672C2×C4C2×H(5,𝔽2)12yes—
1673C2×C4C2×H(5,𝔽2)12yes—
1674C2×C4C2×H(5,𝔽2)14yes—
1675C2×C4C2×H(5,𝔽2)12yes—
1676C2×C4C2×H(5,𝔽2)12yes—
1677C2×C4C2×2−1+412yes—
1678C2×C4C2×2−1+412yes—
1679C2×C4C2×2−1+412yes—
1680C2×C4#58512yes—
1681C22—22no—
1682C22—24no—
1683C22—24no—
1684C22—22no—
1685C22—24no—
1686C22—24no—
1687C22—24no—
1688C22—22no—
1689C22—24no—
1690C22—42no—
1691C22—42no—
1692C22—41no—
1693C22—42no—
1694C22—41no—
1695C22—42no—
1696C22—42no—
1697C22—42no—
1698C22—42no—
1699C22—41no—
1700C22—42no—
1701C22—41no—
1702C22—41no—
1703C22—42no—
1704C22—42no—
1705C22—41no—
1706C22—41no—
1707C22—42no—
1708C22—41no—
1709C22—42no—
1710C22—41no—
1711C22—42no—
1712C22—42no—
1713C22—41no—
1714C22—42no—
1715C22—41no—
1716C22—816no—
1717C22C23×#4111yescharacteristic
1718C22C22×H(5,𝔽2)11yescharacteristic
1719C22C22×H(5,𝔽2)11yescharacteristic
1720C22C22×2−1+411yescharacteristic
1721C22C22×2−1+411yescharacteristic
1722C22C2×#58511yescharacteristic
1723C22H(7,𝔽2)11yescharacteristic
1724C4—22no—
1725C4—22no—
1726C4—22no—
1727C4—24no—
1728C4—24no—
1729C4—22no—
1730C4—22no—
1731C4—42no—
1732C4—41no—
1733C4—42no—
1734C4—42no—
1735C4—41no—
1736C4—41no—
1737C4—42no—
1738C4—44no—
1739C4—41no—
1740C4—41no—
1741C4—42no—
1742C4—42no—
1743C4—42no—
1744C4—42no—
1745C4—44no—
1746C4—42no—
1747C4—44no—
1748C4—41no—
1749C4—44no—
1750C4—42no—
1751C4—42no—
1752C4#349514yes—
1753C4#351914yes—
1754C2—44no—
1755C2—44no—
1756C2—42no—
1757C2—81no—
1758C2—82no—
1759C2C2×#351911yescharacteristic
1760C2C2×#349511yescharacteristic
1761C2#6283511yescharacteristic
1762C2#6292311yescharacteristic
1763C2#6294411yescharacteristic
1764C2#6300011yescharacteristic
1765C2#6301611yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#34681C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #59480C2semidirect
2. #59444C2semidirect
3. #59219C2semidirect
4. #59218C2semidirect
5. #59016C2semidirect
6. #51467C2semidirect
7. #48097C2semidirect
8. #46527C2semidirect
9. #45120C2semidirect
10. #45114C2semidirect
11. #45088C2semidirect
12. #44991C2semidirect
13. #44443C2semidirect
14. #42991C2semidirect
15. #42618C2semidirect
16. #39911C2semidirect
17. #39661C2semidirect
18. #39606C2semidirect
19. #39497C2semidirect
20. #39343C2semidirect
21. #38930C2semidirect
22. #38274C2semidirect
23. #37837C2semidirect
24. #36559C2semidirect
25. #36194C2semidirect
26. D4×C22⋊Q8C2semidirect
27. #35871C2semidirect
28. #35832C2semidirect
29. #35661C2semidirect
30. #35560C2semidirect
31. #34898C2semidirect
33. #34368C2semidirect
34. #34311C2semidirect
35. #34194C2semidirect
36. C2×#554C22semidirect
37. C2×#552C22semidirect
39. C2×#536C22semidirect
43. C2×#519C22semidirect
45. #2868C22semidirect
46. #2859C22semidirect
48. #2857C22semidirect
50. #2830C22semidirect
51. #2802C22semidirect
52. #2790C22semidirect
53. #2787C22semidirect
54. #2783C22semidirect
56. #2781C22semidirect
57. #2768C22semidirect
58. #2765C22semidirect
59. #2765C22semidirect
60. #2765C22semidirect
61. #2751C22semidirect
63. #2748C22semidirect
65. #2738C22semidirect
67. #2729C22semidirect
68. #2713C22semidirect
69. #2707C22semidirect
72. #2702C22semidirect
73. #2700C22semidirect
76. #2695C22semidirect
77. #2694C22semidirect
80. #2687C22semidirect
82. #2674C22semidirect
83. #2672C22semidirect
84. #2666C22semidirect
85. #2665C22semidirect
87. #2647C22semidirect
88. #2637C22semidirect
89. #2629C22semidirect
90. #2629C22semidirect
91. #2616C22semidirect
94. #2601C22semidirect
96. #2597C22semidirect
97. #2589C22semidirect
98. #2587C22semidirect
99. #2577C22semidirect
101. #2571C22semidirect
102. #2571C22semidirect
103. #2570C22semidirect
105. #2566C22semidirect
106. #2565C22semidirect
108. #2563C22semidirect
110. #2558C22semidirect
111. #2554C22semidirect
112. #2552C22semidirect
113. #2552C22semidirect
114. #2551C22semidirect
115. #2550C22semidirect
116. #2549C22semidirect
118. #2542C22semidirect
122. #2538C22semidirect
123. #2538C22semidirect
124. #2538C22semidirect
127. #2536C22semidirect
128. #2536C22semidirect
130. #2524C22semidirect
131. #2512C22semidirect
132. #2512C22semidirect
133. #2507C22semidirect
134. #2507C22semidirect
135. #2507C22semidirect
136. #2503C22semidirect
137. #2502C22semidirect
141. #2497C22semidirect
143. #2496C22semidirect
144. #2495C22semidirect
145. #2494C22semidirect
146. #2494C22semidirect
148. #2492C22semidirect
149. #2492C22semidirect
150. #2491C22semidirect
152. #2486C22semidirect
154. #2479C22semidirect
155. #2475C22semidirect
156. #2473C22semidirect
159. #2470C22semidirect
161. #2468C22semidirect
162. #2466C22semidirect
164. #2462C22semidirect
166. #2459C22semidirect
167. #2458C22semidirect
174. #2452C22semidirect
175. #2452C22semidirect
176. #2450C22semidirect
183. #2440C22semidirect
185. #2439C22semidirect
186. #2439C22semidirect
187. #2438C22semidirect
192. #2429C22semidirect
195. #2426C22semidirect
196. #2425C22semidirect
199. #2423C22semidirect
203. #2421C22semidirect
204. #2421C22semidirect
208. #2417C22semidirect
209. #2417C22semidirect
210. #2417C22semidirect
212. #2415C22semidirect
213. #2415C22semidirect
214. #2413C22semidirect
215. #2413C22semidirect
220. #2409C22semidirect
222. #2402C22semidirect
223. #2396C22semidirect
227. #2379C22semidirect
228. #2370C22semidirect
229. #2369C22semidirect
230. #2369C22semidirect
232. #2365C22semidirect
233. #2365C22semidirect
234. #2362C22semidirect
235. #2362C22semidirect
236. #2362C22semidirect
237. #2360C22semidirect
240. #2355C22semidirect
246. #2354C22semidirect
247. #2354C22semidirect
250. Q8×C4⋊C4C22semidirect
255. D4×C4⋊C4C22semidirect
256. D4×C4⋊C4C22semidirect
257. D4×C4⋊C4C22semidirect
260. Q8×C22⋊C4C22semidirect
266. #2324C22semidirect
267. #2324C22semidirect
268. #2323C22semidirect
269. #2323C22semidirect
271. #2319C22semidirect
273. #2317C22semidirect
274. #2311C22semidirect
275. #2311C22semidirect
276. C4×C4⋊Q8C22semidirect
277. C4×C4⋊Q8C22semidirect
280. C4×#125C22semidirect
283. C4×C22⋊Q8C22semidirect
287. #2298C22semidirect
291. #2285C22semidirect
292. #2285C22semidirect
297. C42×Q8C22semidirect

Maximal subgroups

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

subgroupindex
#594802
#594442
#592192
#592182
#590162
#514672
#480972
#465272
#451202
#451142
#450882
#449912
#444432
#429912
#426182
#399112
#396612
#396062
#394972
#393432
#389302
#382742
#378372
#365592
#361942
D4×C22⋊Q82
#358712
#358322
#356612
#355602
#348982
#346812
#343682
#343112
#341942