Finite Group Databasebeta

← #7652096

Subgroups — #7652096

Order 512.

5579 conjugacy classes of subgroups.

The subgroup lattice has 1849 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42958C212yesmaximal, complemented
2#42937C212yesmaximal, complemented
3#42874C212yesmaximal, complemented
4#42828C212yesmaximal, complemented
5#42767C212yesmaximal, complemented
6#42547C212yesmaximal, complemented
7#42505C212yesmaximal, complemented
8#42503C212yesmaximal, complemented
9#41470C214yesmaximal, complemented
10#40842C214yesmaximal, complemented
11#40145C212yesmaximal, complemented
12#40076C212yesmaximal, complemented
13#40007C212yesmaximal, complemented
14#40006C212yesmaximal, complemented
15#39760C212yesmaximal, complemented
16#39659C212yesmaximal, complemented
17#39632C212yesmaximal, complemented
18#39238C212yesmaximal, complemented
19#38596C214yesmaximal, complemented
20#38512C214yesmaximal, complemented
21#35660C211yesmaximal, characteristic, complemented
22#35659C211yesmaximal, characteristic, complemented
23#35630C211yesmaximal, characteristic, complemented
24#35619C211yesmaximal, characteristic, complemented
25#35592C211yesmaximal, characteristic, complemented
26#35518C211yesmaximal, characteristic, complemented
27#35306C211yesmaximal, characteristic, complemented
28#35279C211yesmaximal, characteristic, complemented
29#35160C211yesmaximal, characteristic, complemented
30#34810C211yesmaximal, characteristic, complemented
31C2×#2492C211yesmaximal, characteristic, complemented
32#34743C211yesmaximal, characteristic, complemented
33#34259C211yesmaximal, characteristic, complemented
34#34206C211yesmaximal, characteristic, complemented
35#34202C211yesmaximal, characteristic, complemented
36C22×2−1+4C2211yescharacteristic
37C2×#537C2211yescharacteristic
38C2×#536C2211yescharacteristic
39C2×#532C2211yescharacteristic
40C22×C4⋊Q8C2211yescharacteristic
41C2×#525C2211yescharacteristic
42C2×#525C2211yescharacteristic
43C2×#525C2211yescharacteristic
44C22×C22⋊Q8C2211yescharacteristic
45C2×#520C2211yescharacteristic
46C2×#520C2211yescharacteristic
47C2×C4×#41C2211yescharacteristic
48C22×#117C2211yescharacteristic
49#2857C2212yes—
50#2857C2212yescomplemented
51#2857C2212yescomplemented
52#2852C2214yes—
53#2850C2212yes—
54#2833C2214yescomplemented
55#2832C2214yes—
56#2826C2214yescomplemented
57#2824C2214yes—
58#2808C2214yes—
59#2806C2214yescomplemented
60#2805C2214yescomplemented
61#2804C2214yes—
62#2788C2214yes—
63#2788C2214yescomplemented
64#2788C2214yescomplemented
65#2784C2214yes—
66#2779C2214yes—
67#2778C2214yes—
68#2778C2214yescomplemented
69#2771C2214yescomplemented
70#2770C2214yescomplemented
71#2764C2214yescomplemented
72#2760C2214yes—
73#2759C2214yes—
74#2759C2214yescomplemented
75#2756C2214yes—
76#2752C2214yes—
77#2751C2214yes—
78#2751C2214yescomplemented
79#2750C2214yescomplemented
80#2743C2214yes—
81#2743C2214yescomplemented
82#2741C2214yescomplemented
83#2730C2214yescomplemented
84#2715C2214yescomplemented
85#2703C2214yes—
86#2702C2214yescomplemented
87#2696C2214yes—
88#2686C2214yes—
89#2676C2214yes—
90#2665C2214yes—
91#2665C2214yescomplemented
92#2653C2214yes—
93#2653C2214yescomplemented
94#2650C2214yes—
95#2650C2214yescomplemented
96#2649C2214yescomplemented
97#2649C2214yescomplemented
98#2646C2214yescomplemented
99#2643C2214yes—
100#2639C2214yes—
101#2635C2214yes—
102#2631C2214yes—
103#2628C2212yescomplemented
104#2628C2212yescomplemented
105#2621C2212yes—
106#2620C2212yes—
107#2591C2214yes—
108#2589C2214yescomplemented
109#2587C2214yescomplemented
110#2586C2214yescomplemented
111#2572C2214yes—
112#2568C2212yescomplemented
113#2567C2212yescomplemented
114#2563C2212yescomplemented
115#2559C2214yes—
116#2557C2214yes—
117#2542C2212yescomplemented
118#2538C2212yes—
119#2537C2212yes—
120#2536C2212yes—
121#2535C2212yes—
122#2514C2212yescomplemented
123#2514C2212yescomplemented
124#2514C2212yescomplemented
125#2514C2212yescomplemented
126#2514C2212yescomplemented
127#2513C2212yescomplemented
128#2512C2212yescomplemented
129#2511C2212yescomplemented
130#2511C2212yescomplemented
131#2511C2212yescomplemented
132#2511C2212yescomplemented
133#2511C2212yescomplemented
134#2510C2214yes—
135#2510C2214yescomplemented
136#2504C2211yescharacteristic
137#2503C2211yescharacteristic
138#2503C2212yescomplemented
139#2502C2211yescharacteristic
140#2502C2212yescomplemented
141#2501C2211yescharacteristic
142#2500C2211yescharacteristic
143#2500C2211yescharacteristic
144#2499C2211yescharacteristic
145#2499C2211yescharacteristic
146#2499C2212yescomplemented
147#2499C2212yescomplemented
148#2498C2212yes—
149#2498C2212yes—
150#2497C2212yescomplemented
151#2496C2212yescomplemented
152#2495C2212yescomplemented
153#2494C2212yescomplemented
154#2493C2214yes—
155#2493C2214yes—
156#2492C2212yes—
157#2492C2212yes—
158#2492C2212yes—
159#2492C2212yes—
160#2492C2212yes—
161#2492C2212yes—
162#2492C2212yes—
163#2492C2212yes—
164#2492C2212yescomplemented
165#2492C2212yescomplemented
166#2492C2212yescomplemented
167#2492C2212yescomplemented
168#2491C2212yescomplemented
169#2491C2212yescomplemented
170#2491C2212yescomplemented
171#2491C2212yescomplemented
172#2487C2214yes—
173#2467C2214yes—
174#2459C2214yescomplemented
175#2450C2214yes—
176#2450C2214yescomplemented
177#2447C2212yescomplemented
178#2447C2212yescomplemented
179#2446C2212yescomplemented
180#2446C2212yescomplemented
181#2436C2214yes—
182#2436C2212yescomplemented
183#2434C2212yescomplemented
184#2432C2212yescomplemented
185#2431C2212yescomplemented
186#2430C2214yes—
187#2430C2214yes—
188#2429C2211yescharacteristic
189#2429C2211yescharacteristic
190#2428C2211yescharacteristic
191#2428C2211yescharacteristic
192#2427C2211yescharacteristic
193#2427C2211yescharacteristic
194#2426C2211yescharacteristic
195#2426C2211yescharacteristic
196#2425C2212yes—
197#2425C2212yes—
198#2425C2214yes—
199#2424C2212yes—
200#2424C2214yes—
201#2424C2212yes—
202#2419C2214yes—
203#2419C2214yes—
204#2417C2212yes—
205#2417C2212yes—
206#2417C2212yes—
207#2416C2212yes—
208#2415C2212yes—
209#2415C2212yes—
210#2415C2212yes—
211#2414C2212yes—
212#2413C2214yes—
213#2412C2212yes—
214#2412C2214yes—
215#2412C2212yes—
216#2409C2212yes—
217#2409C2212yes—
218#2409C2212yes—
219#2409C2212yes—
220#2409C2214yes—
221#2409C2212yescomplemented
222#2409C2212yescomplemented
223#2407C2212yes—
224#2407C2212yes—
225#2407C2212yes—
226#2407C2212yes—
227#2407C2212yescomplemented
228#2407C2212yescomplemented
229#2406C2214yes—
230#2404C2214yes—
231#2395C2212yes—
232#2395C2212yes—
233C2×#400C2212yes—
234#2392C2212yes—
235#2392C2212yes—
236C2×#393C2212yes—
237#2367C2212yescomplemented
238#2367C2212yescomplemented
239#2366C2212yescomplemented
240#2365C2212yescomplemented
241#2359C2214yes—
242#2358C2214yes—
243#2354C2212yes—
244#2354C2212yescomplemented
245#2352C2212yes—
246#2352C2212yes—
247#2352C2212yescomplemented
248#2352C2212yescomplemented
249D4×C4⋊C4C2212yes—
250D4×C4⋊C4C2212yescomplemented
251Q8×C22⋊C4C2212yescomplemented
252Q8×C22⋊C4C2212yescomplemented
253#2339C2214yes—
254#2339C2214yes—
255#2339C2212yescomplemented
256#2339C2212yescomplemented
257#2337C2214yescomplemented
258#2335C2214yes—
259#2329C2214yescomplemented
260#2325C2214yes—
261#2325C2214yes—
262#2324C2212yes—
263#2323C2212yes—
264#2317C2211yescharacteristic
265#2317C2211yescharacteristic
266#2317C2211yescharacteristic
267#2311C2211yescharacteristic
268#2311C2211yescharacteristic
269#2311C2211yescharacteristic
270#2311C2211yescharacteristic
271#2311C2211yescharacteristic
272#2311C2212yescomplemented
273#2310C2211yescharacteristic
274#2310C2211yescharacteristic
275#2310C2212yescomplemented
276C4×C22⋊Q8C2212yes—
277C4×#123C2212yes—
278C4×#123C2212yes—
279C4×#121C2212yes—
280C4×#121C2212yes—
281C4×#121C2214yes—
282C4×#121C2212yes—
283#2297C2211yescharacteristic
284#2297C2211yescharacteristic
285#2297C2211yescharacteristic
286#2297C2212yescomplemented
287#2296C2211yescharacteristic
288C2×#391C2211yescharacteristic
289C2×#391C2211yescharacteristic
290C2×#391C2212yes—
291C2×#391C2212yescomplemented
292C2×#388C2212yes—
293#2285C2211yescharacteristic
294#2285C2211yescharacteristic
295C2×#380C2211yescharacteristic
296#2274C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C22⋊C4C2211yescharacteristic
299C2×2−1+4—28no—
300C2×2−1+4—44no—
301C2×2−1+4—44no—
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C22×#41C2311yescharacteristic
305C22×#41C2312yes—
306C22×#41C2314yes—
307C22×#41C2312yes—
308C23×Q8C2311yescharacteristic
309C23×Q8C2312yes—
310C23×Q8C2312yes—
311C23×Q8C2312yes—
312C24×C4C2311yescharacteristic
313#537—44no—
314#536—44no—
315#532—28no—
316C2×C4⋊Q8—44no—
317C2×C4⋊Q8C2311yescharacteristic
318C2×C4⋊Q8C2312yes—
319C2×C4⋊Q8C2312yes—
320C2×C4⋊Q8C2312yes—
321C2×C4⋊Q8C2312yes—
322C2×C4⋊Q8C2312yes—
323C2×#127C2311yescharacteristic
324C2×#126C2314yes—
325C2×#124C2311yescharacteristic
326C2×#124C2311yescharacteristic
327C2×#124C2314yes—
328C2×#124C2312yes—
329C2×#124C2314yes—
330#525—28no—
331#525—44no—
332#525—44no—
333C2×#123C2312yes—
334C2×#123C2312yes—
335C2×#123C2312yes—
336C2×#123C2312yes—
337C2×#123C2314yes—
338C2×#123C2312yes—
339C2×C22⋊Q8—44no—
340C2×C22⋊Q8C2311yescharacteristic
341C2×C22⋊Q8C2311yescharacteristic
342C2×C22⋊Q8C2314yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2311yescharacteristic
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2311yescharacteristic
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2311yescharacteristic
352C2×C22⋊Q8C2311yescharacteristic
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2314yes—
356C2×#121C2311yescharacteristic
357C2×#121C2312yes—
358C2×#121C2312yes—
359C2×#121C2311yescharacteristic
360C2×#121C2312yes—
361C2×#121C2314yes—
362C2×#121C2311yescharacteristic
363C2×#121C2311yescharacteristic
364C2×#121C2312yes—
365C2×#121C2311yescharacteristic
366C2×#121C2311yescharacteristic
367C2×#121C2312yes—
368C2×#121C2312yes—
369C2×#121C2314yes—
370C2×#120C2312yes—
371C2×#120C2312yes—
372C2×#120C2312yes—
373#520—44no—
374#520—44no—
375C4×#41—44no—
376C2×C4×Q8C2311yescharacteristic
377C2×C4×Q8C2311yescharacteristic
378C2×C4×Q8C2312yes—
379C2×C4×Q8C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2312yes—
386C2×C4×D4C2314yes—
387C2×C4×D4C2314yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2311yescharacteristic
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2314yes—
397C2×C4×D4C2314yes—
398C2×#117—44no—
399C2×#117C2311yescharacteristic
400C2×#117C2311yescharacteristic
401C2×#117C2311yescharacteristic
402C2×#117C2311yescharacteristic
403C2×#117C2311yescharacteristic
404C2×#117C2312yes—
405C2×#117C2312yes—
406C2×#117C2312yes—
407C2×#117C2311yescharacteristic
408C2×#117C2312yes—
409C2×#117C2311yescharacteristic
410C2×#117C2312yes—
411C22×C4⋊C4C2311yescharacteristic
412C22×C4⋊C4C2311yescharacteristic
413C22×C4⋊C4C2311yescharacteristic
414C22×C4⋊C4C2312yes—
415C22×C4⋊C4C2312yes—
416C22×C4⋊C4C2311yescharacteristic
417C22×C4⋊C4C2312yes—
418C22×C4⋊C4C2311yescharacteristic
419C22×C4⋊C4C2312yes—
420C22×C22⋊C4C2311yescharacteristic
421C22×C22⋊C4C2312yes—
422C22×C22⋊C4C2311yescharacteristic
423C22×C22⋊C4C2312yes—
424C22×C22⋊C4C2312yes—
425C22×C42C2311yescharacteristic
426C22×C42C2311yescharacteristic
427C22×C42C2312yes—
428C22×C42C2312yes—
429C22×C42C2312yes—
430#401C2314yes—
431#401C2314yes—
432#401C2314yes—
433#400C2314yes—
434#400C2314yes—
435#400C2314yes—
436#400C2314yes—
437#400C2314yes—
438#400C2314yes—
439#400C2314yes—
440#400C2314yes—
441#400C2312yes—
442#400C2314yes—
443#400C2314yes—
444#400C2314yes—
445#400C2314yes—
446#400C2314yes—
447#400C2314yes—
448#400C2314yes—
449#400C2314yes—
450#400C2314yes—
451#400C2314yes—
452#400C2312yes—
453#400C2314yes—
454#399C2314yes—
455#399C2312yes—
456#399C2314yes—
457#399C2312yes—
458#398C2312yes—
459#398C2314yes—
460#398C2314yes—
461#398C2312yes—
462#398C2314yes—
463#398C2314yes—
464#398C2312yes—
465#398C2312yes—
466#398C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2312yes—
470#397C2314yes—
471#397C2312yes—
472#397C2314yes—
473#397C2314yes—
474#397C2314yes—
475#397C2312yes—
476#397C2314yes—
477#397C2314yes—
478#397C2312yes—
479#397C2312yes—
480#397C2314yes—
481#397C2312yes—
482#397C2314yes—
483#397C2312yes—
484#397C2312yes—
485#396C2314yes—
486#396C2314yes—
487#396C2314yes—
488#396C2314yes—
489#396C2312yes—
490#396C2312yes—
491#396C2312yes—
492#396C2312yes—
493#396C2314yes—
494#395C2314yes—
495#395C2314yes—
496#395C2314yes—
497#395C2314yes—
498#395C2314yes—
499#395C2314yes—
500#394C2312yes—
501#394C2312yes—
502#394C2314yes—
503#394C2314yes—
504#394C2312yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2312yes—
509#394C2312yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2312yes—
515#394C2312yes—
516#394C2312yes—
517#394C2314yes—
518#394C2312yes—
519#394C2312yes—
520#394C2314yes—
521#393C2314yes—
522#393C2314yes—
523#393C2314yes—
524#393C2314yes—
525#393C2314yes—
526#393C2314yes—
527#393C2314yes—
528#393C2314yes—
529#393C2314yes—
530#393C2314yes—
531#393C2314yes—
532#393C2314yes—
533#393C2314yes—
534#393C2314yes—
535#392C2314yes—
536#392C2314yes—
537#392C2312yes—
538#392C2314yes—
539#392C2314yes—
540#392C2312yes—
541#392C2314yes—
542#391C2312yes—
543#391C2312yes—
544#391C2312yes—
545#391C2312yes—
546#391C2312yes—
547#391C2312yes—
548#391C2312yes—
549#391C2312yes—
550#391C2311yescharacteristic
551#391C2312yes—
552#391C2312yes—
553#391C2314yes—
554#391C2314yes—
555#391C2312yes—
556#391C2312yes—
557#391C2312yes—
558#391C2312yes—
559#391C2314yes—
560#391C2314yes—
561#391C2314yes—
562#391C2314yes—
563#391C2314yes—
564#391C2314yes—
565#391C2314yes—
566#391C2314yes—
567#391C2314yes—
568#391C2312yes—
569#391C2312yes—
570#391C2314yes—
571#391C2312yes—
572#391C2312yes—
573#391C2311yescharacteristic
574#391C2311yescharacteristic
575#391C2311yescharacteristic
576#391C2311yescharacteristic
577#391C2312yes—
578#391C2312yes—
579#391C2312yes—
580#391C2311yescharacteristic
581#390C2312yes—
582#390C2312yes—
583#390C2312yes—
584#390C2312yes—
585#390C2312yes—
586#390C2311yescharacteristic
587#390C2314yes—
588#390C2314yes—
589#390C2314yes—
590#390C2311yescharacteristic
591#390C2311yescharacteristic
592#390C2312yes—
593#390C2312yes—
594#390C2311yescharacteristic
595#390C2311yescharacteristic
596#390C2311yescharacteristic
597#389C2314yes—
598#389C2314yes—
599#389C2312yes—
600#389C2312yes—
601#389C2312yes—
602#389C2312yes—
603#389C2312yes—
604#389C2312yes—
605#389C2314yes—
606#389C2314yes—
607#389C2314yes—
608#389C2314yes—
609#389C2312yes—
610#389C2312yes—
611#389C2314yes—
612#389C2311yescharacteristic
613#389C2311yescharacteristic
614#389C2311yescharacteristic
615#389C2311yescharacteristic
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#388C2312yes—
633#388C2312yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2312yes—
642#388C2312yes—
643#388C2314yes—
644#388C2312yes—
645#388C2312yes—
646#388C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2312yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2312yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2312yes—
666#387C2314yes—
667#387C2312yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2312yes—
685#386C2312yes—
686#386C2314yes—
687#386C2314yes—
688#386C2312yes—
689#386C2314yes—
690#386C2314yes—
691#386C2312yes—
692#386C2314yes—
693#386C2312yes—
694#386C2314yes—
695#386C2314yes—
696#386C2312yes—
697#386C2314yes—
698#386C2314yes—
699#386C2312yes—
700#386C2312yes—
701#386C2312yes—
702#386C2312yes—
703#386C2312yes—
704#386C2312yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2312yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2312yes—
721#385C2314yes—
722#385C2312yes—
723#385C2314yes—
724#385C2314yes—
725#385C2312yes—
726#384C2312yes—
727#384C2312yes—
728#384C2312yes—
729#384C2311yescharacteristic
730#384C2311yescharacteristic
731#384C2311yescharacteristic
732#384C2311yescharacteristic
733#383C2314yes—
734#383C2314yes—
735#383C2314yes—
736#382C2312yes—
737#382C2312yes—
738#382C2312yes—
739#382C2311yescharacteristic
740#382C2311yescharacteristic
741#382C2311yescharacteristic
742#382C2311yescharacteristic
743#381C2314yes—
744#381C2314yes—
745#381C2314yes—
746#381C2314yes—
747#381C2312yes—
748#381C2314yes—
749#381C2312yes—
750#381C2314yes—
751#380C2314yes—
752#380C2314yes—
753#380C2312yes—
754#380C2312yes—
755#380C2312yes—
756#380C2312yes—
757#380C2312yes—
758#380C2312yes—
759#380C2312yes—
760#380C2312yes—
761#380C2312yes—
762#380C2312yes—
763#380C2314yes—
764#380C2314yes—
765#380C2312yes—
766#380C2312yes—
767#380C2312yes—
768#380C2314yes—
769#380C2314yes—
770#380C2312yes—
771#380C2312yes—
772#380C2312yes—
773#380C2312yes—
774#380C2314yes—
775#380C2312yes—
776#380C2312yes—
777#380C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2314yes—
783C4×C4⋊C4C2314yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2311yescharacteristic
814C4×C22⋊C4C2311yescharacteristic
815C2×#95C2312yes—
816C2×#95C2314yes—
817C2×#95C2314yes—
818C2×#95C2312yes—
819C2×#95C2312yes—
820C2×#95C2312yes—
821C2×#95C2312yes—
822C2×#95C2311yescharacteristic
823C2×#95C2311yescharacteristic
824C2×#95C2312yes—
825C25C2411yescharacteristic
8262−1+4—464no—
827C2×#41—216no—
828C2×#41—28no—
829C2×#41—24no—
830C2×#41—28no—
831C2×#41—24no—
832C2×#41—24no—
833C2×#41—24no—
834C2×#41—24no—
835C2×#41—24no—
836C2×#41—24no—
837C2×#41—24no—
838C2×#41—48no—
839C2×#41—48no—
840C2×#41—44no—
841C2×#41—44no—
842C2×#41—44no—
843C2×#41—44no—
844C2×#41#4118yes—
845C22×Q8—28no—
846C22×Q8—28no—
847C22×Q8—24no—
848C22×Q8—24no—
849C22×Q8—24no—
850C22×Q8—44no—
851C22×Q8—44no—
852C22×Q8—44no—
853C22×Q8—44no—
854C22×Q8—44no—
855C22×Q8—44no—
856C22×Q8—82no—
857C22×Q8C2411yescharacteristic
858C22×Q8C2412yes—
859C22×Q8C2411yescharacteristic
860C22×Q8C2412yes—
861C22×Q8C2411yescharacteristic
862C22×Q8C2414yes—
863C22×Q8C2414yes—
864C22×Q8C2414yes—
865C22×D4C2412yes—
866C22×D4C2411yescharacteristic
867C22×D4C2412yes—
868C22×D4C2411yescharacteristic
869C22×D4C2412yes—
870C22×D4C2412yes—
871C22×D4C2412yes—
872C22×D4C2411yescharacteristic
873C22×D4C2412yes—
874C22×D4C2412yes—
875C22×D4C2412yes—
876C22×D4C2412yes—
877C22×D4C2414yes—
878C22×D4C2412yes—
879C22×D4C2412yes—
880C22×D4C2414yes—
881C23×C4—24no—
882C23×C4—24no—
883C23×C4—24no—
884C23×C4C2412yes—
885C23×C4C2411yescharacteristic
886C23×C4C2411yescharacteristic
887C23×C4C2412yes—
888C23×C4C2411yescharacteristic
889C23×C4C2411yescharacteristic
890C23×C4C2411yescharacteristic
891C23×C4C2412yes—
892C23×C4C2411yescharacteristic
893C23×C4C2411yescharacteristic
894C23×C4C2411yescharacteristic
895C23×C4C2412yes—
896C23×C4C2412yes—
897C23×C4C2412yes—
898C23×C4C2412yes—
899C23×C4C2412yes—
900C23×C4C2411yescharacteristic
901C23×C4C2412yes—
902C23×C4C2412yes—
903C23×C4C2414yes—
904C23×C4C2414yes—
905C23×C4C2412yes—
906C23×C4C2414yes—
907C23×C4C2414yes—
908C23×C4C2411yescharacteristic
909C4⋊Q8—24no—
910C4⋊Q8—44no—
911C4⋊Q8—44no—
912C4⋊Q8—44no—
913C4⋊Q8—44no—
914C4⋊Q8—44no—
915#127—24no—
916#126—84no—
917#124—24no—
918#124—24no—
919#124—44no—
920#124—48no—
921#124—84no—
922#123—28no—
923#123—28no—
924#123—44no—
925#123—44no—
926#123—44no—
927#123—48no—
928C22⋊Q8—24no—
929C22⋊Q8—24no—
930C22⋊Q8—44no—
931C22⋊Q8—44no—
932C22⋊Q8—44no—
933C22⋊Q8—44no—
934C22⋊Q8—48no—
935C22⋊Q8—42no—
936C22⋊Q8—42no—
937C22⋊Q8—42no—
938C22⋊Q8—42no—
939C22⋊Q8—44no—
940C22⋊Q8—44no—
941C22⋊Q8—44no—
942C22⋊Q8—44no—
943C22⋊Q8—84no—
944#121—24no—
945#121—24no—
946#121—28no—
947#121—28no—
948#121—28no—
949#121—44no—
950#121—42no—
951#121—42no—
952#121—42no—
953#121—42no—
954#121—44no—
955#121—44no—
956#121—48no—
957#121—84no—
958#120—28no—
959#120—44no—
960#120—44no—
961C4×Q8—42no—
962C4×Q8—42no—
963C4×Q8—44no—
964C4×Q8—44no—
965C4×D4—28no—
966C4×D4—28no—
967C4×D4—28no—
968C4×D4—28no—
969C4×D4—42no—
970C4×D4—42no—
971C4×D4—44no—
972C4×D4—44no—
973C4×D4—44no—
974C4×D4—44no—
975C4×D4—44no—
976C4×D4—44no—
977C4×D4—44no—
978C4×D4—44no—
979C4×D4—48no—
980C4×D4—48no—
981C4×D4—84no—
982C4×D4—84no—
983#117—24no—
984#117—24no—
985#117—24no—
986#117—24no—
987#117—24no—
988#117—44no—
989#117—44no—
990#117—44no—
991#117—42no—
992#117—42no—
993#117—44no—
994#117—44no—
995C2×C4⋊C4—24no—
996C2×C4⋊C4—24no—
997C2×C4⋊C4—24no—
998C2×C4⋊C4—42no—
999C2×C4⋊C4—42no—
1000C2×C4⋊C4—44no—
1001C2×C4⋊C4—44no—
1002C2×C4⋊C4—44no—
1003C2×C4⋊C4—44no—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2414yes—
1051C2×C4⋊C4C2414yes—
1052C2×C4⋊C4C2414yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2414yes—
1059C2×C22⋊C4—24no—
1060C2×C22⋊C4—42no—
1061C2×C22⋊C4—44no—
1062C2×C22⋊C4—44no—
1063C2×C22⋊C4—82no—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2411yescharacteristic
1067C2×C22⋊C4C2411yescharacteristic
1068C2×C22⋊C4C2411yescharacteristic
1069C2×C22⋊C4C2411yescharacteristic
1070C2×C22⋊C4C2411yescharacteristic
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2411yescharacteristic
1094C2×C22⋊C4C2411yescharacteristic
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2411yescharacteristic
1129C2×C42—24no—
1130C2×C42—24no—
1131C2×C42—44no—
1132C2×C42—44no—
1133C2×C42—82no—
1134C2×C42C2412yes—
1135C2×C42C2412yes—
1136C2×C42C2412yes—
1137C2×C42C2411yescharacteristic
1138C2×C42C2412yes—
1139C2×C42C2412yes—
1140C2×C42C2411yescharacteristic
1141C2×C42C2411yescharacteristic
1142C2×C42C2411yescharacteristic
1143C2×C42C2411yescharacteristic
1144C2×C42C2411yescharacteristic
1145C2×C42C2411yescharacteristic
1146C2×C42C2411yescharacteristic
1147C2×C42C2412yes—
1148C2×C42C2412yes—
1149C2×C42C2414yes—
1150C2×C42C2414yes—
1151C2×C42C2412yes—
1152C2×C42C2412yes—
1153C2×C42C2414yes—
1154C2×C42C2414yes—
1155C2×C42C2414yes—
1156C2×C42C2414yes—
1157#95C2412yes—
1158#95C2414yes—
1159#95C2412yes—
1160#95C2414yes—
1161#95C2411yescharacteristic
1162#95C2411yescharacteristic
1163#95C2411yescharacteristic
1164#95C2411yescharacteristic
1165#95C2411yescharacteristic
1166#95C2411yescharacteristic
1167#95C2411yescharacteristic
1168#95C2411yescharacteristic
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2414yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2414yes—
1212#95C2414yes—
1213#95C2412yes—
1214#95C2412yes—
1215#95C2412yes—
1216#95C2412yes—
1217#95C2414yes—
1218#95C2414yes—
1219#95C2414yes—
1220#95C2414yes—
1221#95C2414yes—
1222#95C2414yes—
1223#95C2414yes—
1224#95C2414yes—
1225#95C2414yes—
1226#95C2414yes—
1227C24—22no—
1228C24—22no—
1229C24—22no—
1230C24—22no—
1231C24—41no—
1232C24—41no—
1233C24—41no—
1234C24C2511yescharacteristic
1235C24C2512yes—
1236C24C2512yes—
1237C24C2512yes—
1238C24C2511yescharacteristic
1239C24C2511yescharacteristic
1240#41—232no—
1241#41—432no—
1242#41—464no—
1243#41—432no—
1244#41—416no—
1245#41—416no—
1246C2×Q8—22no—
1247C2×Q8—28no—
1248C2×Q8—24no—
1249C2×Q8—22no—
1250C2×Q8—24no—
1251C2×Q8—22no—
1252C2×Q8—22no—
1253C2×Q8—22no—
1254C2×Q8—22no—
1255C2×Q8—24no—
1256C2×Q8—24no—
1257C2×Q8—24no—
1258C2×Q8—22no—
1259C2×Q8—22no—
1260C2×Q8—24no—
1261C2×Q8—28no—
1262C2×Q8—44no—
1263C2×Q8—44no—
1264C2×Q8—44no—
1265C2×Q8—44no—
1266C2×Q8—44no—
1267C2×Q8—44no—
1268C2×Q8—44no—
1269C2×Q8—432no—
1270C2×Q8—432no—
1271C2×Q8—416no—
1272C2×Q8—816no—
1273C2×Q8C2×#4114yes—
1274C2×D4—24no—
1275C2×D4—24no—
1276C2×D4—24no—
1277C2×D4—24no—
1278C2×D4—24no—
1279C2×D4—28no—
1280C2×D4—24no—
1281C2×D4—24no—
1282C2×D4—24no—
1283C2×D4—24no—
1284C2×D4—24no—
1285C2×D4—24no—
1286C2×D4—24no—
1287C2×D4—24no—
1288C2×D4—24no—
1289C2×D4—24no—
1290C2×D4—22no—
1291C2×D4—22no—
1292C2×D4—22no—
1293C2×D4—22no—
1294C2×D4—22no—
1295C2×D4—22no—
1296C2×D4—22no—
1297C2×D4—22no—
1298C2×D4—24no—
1299C2×D4—42no—
1300C2×D4—42no—
1301C2×D4—44no—
1302C2×D4—44no—
1303C2×D4—42no—
1304C2×D4—42no—
1305C2×D4—42no—
1306C2×D4—42no—
1307C2×D4—42no—
1308C2×D4—42no—
1309C2×D4—42no—
1310C2×D4—42no—
1311C2×D4—42no—
1312C2×D4—42no—
1313C2×D4—42no—
1314C2×D4—42no—
1315C2×D4—42no—
1316C2×D4—42no—
1317C2×D4—44no—
1318C2×D4—44no—
1319C2×D4—44no—
1320C2×D4C2×#4118yes—
1321C2×D4C2×#4114yes—
1322C22×C4—24no—
1323C22×C4—24no—
1324C22×C4—22no—
1325C22×C4—22no—
1326C22×C4—28no—
1327C22×C4—24no—
1328C22×C4—22no—
1329C22×C4—22no—
1330C22×C4—24no—
1331C22×C4—24no—
1332C22×C4—22no—
1333C22×C4—22no—
1334C22×C4—24no—
1335C22×C4—22no—
1336C22×C4—24no—
1337C22×C4—24no—
1338C22×C4—24no—
1339C22×C4—22no—
1340C22×C4—22no—
1341C22×C4—24no—
1342C22×C4—22no—
1343C22×C4—22no—
1344C22×C4—28no—
1345C22×C4—24no—
1346C22×C4—22no—
1347C22×C4—22no—
1348C22×C4—24no—
1349C22×C4—22no—
1350C22×C4—22no—
1351C22×C4—24no—
1352C22×C4—22no—
1353C22×C4—22no—
1354C22×C4—24no—
1355C22×C4—22no—
1356C22×C4—22no—
1357C22×C4—24no—
1358C22×C4—22no—
1359C22×C4—22no—
1360C22×C4—22no—
1361C22×C4—24no—
1362C22×C4—24no—
1363C22×C4—41no—
1364C22×C4—42no—
1365C22×C4—41no—
1366C22×C4—42no—
1367C22×C4—44no—
1368C22×C4—44no—
1369C22×C4—44no—
1370C22×C4—44no—
1371C22×C4—41no—
1372C22×C4—42no—
1373C22×C4—42no—
1374C22×C4—42no—
1375C22×C4—42no—
1376C22×C4—42no—
1377C22×C4—41no—
1378C22×C4—42no—
1379C22×C4—42no—
1380C22×C4—42no—
1381C22×C4—42no—
1382C22×C4—42no—
1383C22×C4—41no—
1384C22×C4—42no—
1385C22×C4—42no—
1386C22×C4—42no—
1387C22×C4—44no—
1388C22×C4—44no—
1389C22×C4—44no—
1390C22×C4—44no—
1391C22×C4—44no—
1392C22×C4—44no—
1393C22×C4—416no—
1394C22×C4C2×#4118yes—
1395C22×C4C2×#4114yes—
1396C22×C4H(5,𝔽2)14yes—
1397C22×C4H(5,𝔽2)14yes—
1398C22×C4C2511yescharacteristic
1399C22×C4C2512yes—
1400C22×C4C2512yes—
1401C22×C4C2514yes—
1402C22×C4C2511yescharacteristic
1403C22×C4C2512yes—
1404C22×C4C2512yes—
1405C22×C4C2511yescharacteristic
1406C22×C4C2511yescharacteristic
1407C22×C4C2511yescharacteristic
1408C22×C4C2512yes—
1409C22×C4C2512yes—
1410C22×C4C2514yes—
1411C22×C4C2512yes—
1412C22×C4C2512yes—
1413C22×C4C2514yes—
1414C22×C4C2512yes—
1415C22×C4C2514yes—
1416C22×C4C2511yescharacteristic
1417C22×C4C2512yes—
1418C22×C4C2512yes—
1419C22×C4C2512yes—
1420C22×C4C2511yescharacteristic
1421C22×C4C2512yes—
1422C22×C4C2511yescharacteristic
1423C22×C4C2511yescharacteristic
1424C22×C4C2511yescharacteristic
1425C22×C4C2511yescharacteristic
1426C22×C4C2511yescharacteristic
1427C4⋊C4—22no—
1428C4⋊C4—22no—
1429C4⋊C4—24no—
1430C4⋊C4—24no—
1431C4⋊C4—24no—
1432C4⋊C4—24no—
1433C4⋊C4—24no—
1434C4⋊C4—24no—
1435C4⋊C4—24no—
1436C4⋊C4—24no—
1437C4⋊C4—24no—
1438C4⋊C4—24no—
1439C4⋊C4—22no—
1440C4⋊C4—22no—
1441C4⋊C4—22no—
1442C4⋊C4—22no—
1443C4⋊C4—22no—
1444C4⋊C4—22no—
1445C4⋊C4—22no—
1446C4⋊C4—22no—
1447C4⋊C4—24no—
1448C4⋊C4—24no—
1449C4⋊C4—24no—
1450C4⋊C4—24no—
1451C4⋊C4—42no—
1452C4⋊C4—42no—
1453C4⋊C4—44no—
1454C4⋊C4—44no—
1455C4⋊C4—44no—
1456C4⋊C4—44no—
1457C4⋊C4—44no—
1458C4⋊C4—44no—
1459C4⋊C4—42no—
1460C4⋊C4—42no—
1461C4⋊C4—44no—
1462C4⋊C4—42no—
1463C4⋊C4—42no—
1464C4⋊C4—42no—
1465C4⋊C4—42no—
1466C4⋊C4—42no—
1467C4⋊C4—42no—
1468C4⋊C4—42no—
1469C4⋊C4—42no—
1470C4⋊C4—44no—
1471C4⋊C4—42no—
1472C4⋊C4—44no—
1473C4⋊C4—44no—
1474C4⋊C4—44no—
1475C4⋊C4—44no—
1476C4⋊C4—44no—
1477C4⋊C4—44no—
1478C4⋊C4—42no—
1479C4⋊C4—44no—
1480C4⋊C4—42no—
1481C4⋊C4—42no—
1482C22⋊C4—24no—
1483C22⋊C4—24no—
1484C22⋊C4—24no—
1485C22⋊C4—24no—
1486C22⋊C4—24no—
1487C22⋊C4—24no—
1488C22⋊C4—24no—
1489C22⋊C4—24no—
1490C22⋊C4—24no—
1491C22⋊C4—22no—
1492C22⋊C4—24no—
1493C22⋊C4—24no—
1494C22⋊C4—24no—
1495C22⋊C4—24no—
1496C22⋊C4—22no—
1497C22⋊C4—22no—
1498C22⋊C4—24no—
1499C22⋊C4—24no—
1500C22⋊C4—24no—
1501C22⋊C4—22no—
1502C22⋊C4—22no—
1503C22⋊C4—24no—
1504C22⋊C4—24no—
1505C22⋊C4—41no—
1506C22⋊C4—41no—
1507C22⋊C4—42no—
1508C22⋊C4—42no—
1509C22⋊C4—44no—
1510C22⋊C4—44no—
1511C22⋊C4—44no—
1512C22⋊C4—44no—
1513C22⋊C4—42no—
1514C22⋊C4—42no—
1515C22⋊C4—44no—
1516C22⋊C4—42no—
1517C22⋊C4—42no—
1518C22⋊C4—42no—
1519C22⋊C4—44no—
1520C22⋊C4—44no—
1521C22⋊C4—42no—
1522C22⋊C4—42no—
1523C22⋊C4—42no—
1524C22⋊C4—42no—
1525C22⋊C4—42no—
1526C22⋊C4—42no—
1527C22⋊C4—42no—
1528C22⋊C4—42no—
1529C22⋊C4—44no—
1530C22⋊C4—44no—
1531C22⋊C4—44no—
1532C22⋊C4—44no—
1533C22⋊C4—44no—
1534C22⋊C4—44no—
1535C22⋊C4—44no—
1536C22⋊C4—44no—
1537C22⋊C4—44no—
1538C22⋊C4—44no—
1539C22⋊C4—42no—
1540C22⋊C4—44no—
1541C22⋊C4—44no—
1542C22⋊C4—42no—
1543C22⋊C4—42no—
1544C22⋊C4—44no—
1545C22⋊C4—42no—
1546C22⋊C42−1+414yescomplemented
1547C42—22no—
1548C42—22no—
1549C42—22no—
1550C42—22no—
1551C42—24no—
1552C42—22no—
1553C42—22no—
1554C42—22no—
1555C42—22no—
1556C42—24no—
1557C42—24no—
1558C42—24no—
1559C42—24no—
1560C42—42no—
1561C42—42no—
1562C42—42no—
1563C42—42no—
1564C42—44no—
1565C42—44no—
1566C42—44no—
1567C42—44no—
1568C42—44no—
1569C42—44no—
1570C23—21no—
1571C23—21no—
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—21no—
1577C23—22no—
1578C23—22no—
1579C23—22no—
1580C23—21no—
1581C23—22no—
1582C23—22no—
1583C23—21no—
1584C23—22no—
1585C23—21no—
1586C23—21no—
1587C23—22no—
1588C23—22no—
1589C23—21no—
1590C23—21no—
1591C23—22no—
1592C23—22no—
1593C23—22no—
1594C23—22no—
1595C23—22no—
1596C23—21no—
1597C23—22no—
1598C23—22no—
1599C23—22no—
1600C23—21no—
1601C23—22no—
1602C23—21no—
1603C23—22no—
1604C23—22no—
1605C23—22no—
1606C23—21no—
1607C23—44no—
1608C23—44no—
1609C23—44no—
1610C23—44no—
1611C23—82no—
1612C23—82no—
1613C23—82no—
1614C23C22×#4114yes—
1615C23C22×#4112yes—
1616C23C2×H(5,𝔽2)12yes—
1617C23C2×H(5,𝔽2)12yes—
1618C23C2×2−1+412yes—
1619C23C2611yescharacteristic
1620Q8—28no—
1621Q8—416no—
1622Q8—48no—
1623Q8—44no—
1624Q8—48no—
1625Q8—44no—
1626Q8—88no—
1627Q8—88no—
1628D4—216no—
1629D4—28no—
1630D4—48no—
1631D4—48no—
1632D4—416no—
1633D4—48no—
1634D4—48no—
1635D4—44no—
1636D4—44no—
1637D4—84no—
1638D4—84no—
1639D4—84no—
1640D4—84no—
1641D4—84no—
1642D4—84no—
1643D4—164no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—216no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—24no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—22no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—21no—
1674C2×C4—24no—
1675C2×C4—22no—
1676C2×C4—22no—
1677C2×C4—24no—
1678C2×C4—24no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—22no—
1683C2×C4—22no—
1684C2×C4—24no—
1685C2×C4—24no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—22no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—22no—
1692C2×C4—22no—
1693C2×C4—22no—
1694C2×C4—22no—
1695C2×C4—24no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—22no—
1699C2×C4—24no—
1700C2×C4—22no—
1701C2×C4—21no—
1702C2×C4—22no—
1703C2×C4—21no—
1704C2×C4—22no—
1705C2×C4—24no—
1706C2×C4—22no—
1707C2×C4—24no—
1708C2×C4—24no—
1709C2×C4—21no—
1710C2×C4—22no—
1711C2×C4—22no—
1712C2×C4—22no—
1713C2×C4—21no—
1714C2×C4—22no—
1715C2×C4—21no—
1716C2×C4—22no—
1717C2×C4—22no—
1718C2×C4—22no—
1719C2×C4—24no—
1720C2×C4—21no—
1721C2×C4—22no—
1722C2×C4—44no—
1723C2×C4—44no—
1724C2×C4—44no—
1725C2×C4—416no—
1726C2×C4—416no—
1727C2×C4—48no—
1728C2×C4—44no—
1729C2×C4—48no—
1730C2×C4—44no—
1731C2×C4—44no—
1732C2×C4—44no—
1733C2×C4—44no—
1734C2×C4—48no—
1735C2×C4—48no—
1736C2×C4—84no—
1737C2×C4—84no—
1738C2×C4—82no—
1739C2×C4—84no—
1740C2×C4—84no—
1741C2×C4—84no—
1742C2×C4—84no—
1743C2×C4—164no—
1744C2×C4—164no—
1745C2×C4#538116yes—
1746C2×C4C22×#4114yes—
1747C2×C4C22×#4112yes—
1748C2×C4C22×#4112yes—
1749C2×C4C2×H(5,𝔽2)12yes—
1750C2×C4C2×H(5,𝔽2)12yes—
1751C2×C4C2×H(5,𝔽2)12yes—
1752C2×C4C2×H(5,𝔽2)12yes—
1753C2×C4C2×2−1+412yes—
1754C2×C4C2×2−1+412yes—
1755C2×C4#58512yes—
1756C22—22no—
1757C22—22no—
1758C22—22no—
1759C22—22no—
1760C22—22no—
1761C22—22no—
1762C22—22no—
1763C22—24no—
1764C22—24no—
1765C22—22no—
1766C22—24no—
1767C22—22no—
1768C22—41no—
1769C22—42no—
1770C22—41no—
1771C22—42no—
1772C22—42no—
1773C22—41no—
1774C22—41no—
1775C22—42no—
1776C22—42no—
1777C22—42no—
1778C22—41no—
1779C22—41no—
1780C22—42no—
1781C22—42no—
1782C22—42no—
1783C22—42no—
1784C22—41no—
1785C22—42no—
1786C22—41no—
1787C22—42no—
1788C22—41no—
1789C22—42no—
1790C22—42no—
1791C22—42no—
1792C22—41no—
1793C22—42no—
1794C22—42no—
1795C22—42no—
1796C22—41no—
1797C22—88no—
1798C22C2×#53814yes—
1799C22C23×#4111yescharacteristic
1800C22C22×H(5,𝔽2)11yescharacteristic
1801C22C22×H(5,𝔽2)11yescharacteristic
1802C22C22×2−1+411yescharacteristic
1803C22C2×#58511yescharacteristic
1804C22H(7,𝔽2)11yescharacteristic
1805C222−1+611yescharacteristic
1806C4—22no—
1807C4—22no—
1808C4—24no—
1809C4—22no—
1810C4—41no—
1811C4—42no—
1812C4—41no—
1813C4—41no—
1814C4—42no—
1815C4—42no—
1816C4—42no—
1817C4—42no—
1818C4—42no—
1819C4—42no—
1820C4—44no—
1821C4—42no—
1822C4—44no—
1823C4—41no—
1824C4—42no—
1825C4—44no—
1826C4—41no—
1827C4—41no—
1828C4—42no—
1829C4—44no—
1830C4—42no—
1831C4—41no—
1832C4—42no—
1833C4C2×#53814yes—
1834C4C2×#53814yes—
1835C2—24no—
1836C2—44no—
1837C2—42no—
1838C2—82no—
1839C2—82no—
1840C2—81no—
1841C2C22×#53811yescharacteristic
1842C2#6283511yescharacteristic
1843C2#6287811yescharacteristic
1844C2#6292411yescharacteristic
1845C2#6294211yescharacteristic
1846C2#6300011yescharacteristic
1847C2#6300911yescharacteristic
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. #42958C2semidirect
2. #42937C2semidirect
3. #42874C2semidirect
4. #42828C2semidirect
5. #42767C2semidirect
6. #42547C2semidirect
7. #42505C2semidirect
8. #42503C2semidirect
9. #41470C2semidirect
10. #40842C2semidirect
11. #40145C2semidirect
12. #40076C2semidirect
13. #40007C2semidirect
14. #40006C2semidirect
15. #39760C2semidirect
16. #39659C2semidirect
17. #39632C2semidirect
18. #39238C2semidirect
19. #38596C2semidirect
20. #38512C2semidirect
21. #35660C2semidirect
22. #35659C2semidirect
23. #35630C2semidirect
24. #35619C2semidirect
25. #35592C2semidirect
26. #35518C2semidirect
27. #35306C2semidirect
28. #35279C2semidirect
29. #35160C2semidirect
30. #34810C2semidirect
31. C2×#2492C2semidirect
32. #34743C2semidirect
33. #34259C2semidirect
34. #34206C2semidirect
35. #34202C2semidirect
50. #2857C22semidirect
51. #2857C22semidirect
54. #2833C22semidirect
56. #2826C22semidirect
59. #2806C22semidirect
60. #2805C22semidirect
63. #2788C22semidirect
64. #2788C22semidirect
68. #2778C22semidirect
69. #2771C22semidirect
70. #2770C22semidirect
71. #2764C22semidirect
74. #2759C22semidirect
78. #2751C22semidirect
79. #2750C22semidirect
81. #2743C22semidirect
82. #2741C22semidirect
83. #2730C22semidirect
84. #2715C22semidirect
86. #2702C22semidirect
91. #2665C22semidirect
93. #2653C22semidirect
95. #2650C22semidirect
96. #2649C22semidirect
97. #2649C22semidirect
98. #2646C22semidirect
103. #2628C22semidirect
104. #2628C22semidirect
108. #2589C22semidirect
109. #2587C22semidirect
110. #2586C22semidirect
112. #2568C22semidirect
113. #2567C22semidirect
114. #2563C22semidirect
117. #2542C22semidirect
122. #2514C22semidirect
123. #2514C22semidirect
124. #2514C22semidirect
125. #2514C22semidirect
126. #2514C22semidirect
127. #2513C22semidirect
128. #2512C22semidirect
129. #2511C22semidirect
130. #2511C22semidirect
131. #2511C22semidirect
132. #2511C22semidirect
133. #2511C22semidirect
135. #2510C22semidirect
138. #2503C22semidirect
140. #2502C22semidirect
146. #2499C22semidirect
147. #2499C22semidirect
150. #2497C22semidirect
151. #2496C22semidirect
152. #2495C22semidirect
153. #2494C22semidirect
164. #2492C22semidirect
165. #2492C22semidirect
166. #2492C22semidirect
167. #2492C22semidirect
168. #2491C22semidirect
169. #2491C22semidirect
170. #2491C22semidirect
171. #2491C22semidirect
174. #2459C22semidirect
176. #2450C22semidirect
177. #2447C22semidirect
178. #2447C22semidirect
179. #2446C22semidirect
180. #2446C22semidirect
182. #2436C22semidirect
183. #2434C22semidirect
184. #2432C22semidirect
185. #2431C22semidirect
221. #2409C22semidirect
222. #2409C22semidirect
227. #2407C22semidirect
228. #2407C22semidirect
237. #2367C22semidirect
238. #2367C22semidirect
239. #2366C22semidirect
240. #2365C22semidirect
244. #2354C22semidirect
247. #2352C22semidirect
248. #2352C22semidirect
250. D4×C4⋊C4C22semidirect
251. Q8×C22⋊C4C22semidirect
252. Q8×C22⋊C4C22semidirect
255. #2339C22semidirect
256. #2339C22semidirect
257. #2337C22semidirect
259. #2329C22semidirect
272. #2311C22semidirect
275. #2310C22semidirect
286. #2297C22semidirect
291. C2×#391C22semidirect
1546. C22⋊C42−1+4semidirect

Maximal subgroups

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

subgroupindex
#429582
#429372
#428742
#428282
#427672
#425472
#425052
#425032
#414702
#408422
#401452
#400762
#400072
#400062
#397602
#396592
#396322
#392382
#385962
#385122
#356602
#356592
#356302
#356192
#355922
#355182
#353062
#352792
#351602
#348102
C2×#24922
#347432
#342592
#342062
#342022