Finite Group Databasebeta

← #8424657

Subgroups — #8424657

Order 512.

5386 conjugacy classes of subgroups.

The subgroup lattice has 1882 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59680C212yesmaximal, complemented
2#59412C211yesmaximal, characteristic, complemented
3#59304C211yesmaximal, characteristic, complemented
4#59243C211yesmaximal, characteristic, complemented
5#59053C212yesmaximal, complemented
6#53784C214yesmaximal, complemented
7#53737C214yesmaximal, complemented
8#53063C212yesmaximal, complemented
9#52977C212yesmaximal, complemented
10#52971C212yesmaximal, complemented
11#52956C212yesmaximal, complemented
12#52479C214yesmaximal, complemented
13#42986C212yesmaximal, complemented
14#42974C212yesmaximal, complemented
15#42768C212yesmaximal, complemented
16#42505C212yesmaximal, complemented
17#41261C214yesmaximal, complemented
18#40044C212yesmaximal, complemented
19#39948C212yesmaximal, complemented
20#39342C211yesmaximal, characteristic, complemented
21#39138C211yesmaximal, characteristic, complemented
22#38945C212yesmaximal, complemented
23#38910C211yesmaximal, characteristic, complemented
24#38909C211yesmaximal, characteristic, complemented
25#37786C212yesmaximal, complemented
26#37621C211yesmaximal, characteristic, complemented
27#37620C211yesmaximal, characteristic, complemented
28#37573C212yesmaximal, complemented
29#37515C212yesmaximal, complemented
30#36590C211yesmaximal, characteristic, complemented
31#36468C211yesmaximal, characteristic, complemented
32#36182C211yesmaximal, characteristic, complemented
33#34934C211yesmaximal, characteristic, complemented
34#34934C211yesmaximal, characteristic, complemented
35#34889C211yesmaximal, characteristic, complemented
36C2×#553C2212yescomplemented
37C2×#553C2212yescomplemented
38C2×#553C2212yescomplemented
39C2×#550C2211yescharacteristic
40C2×#546C2212yes—
41C2×D42C2211yescharacteristic
42C2×#535C2212yes—
43C2×#532C2211yescharacteristic
44C2×#529C2211yescharacteristic
45C2×#529C2211yescharacteristic, complemented
46C2×#529C2212yescomplemented
47C2×#529C2211yescharacteristic, complemented
48#2861C2212yes—
49#2859C2211yescharacteristic, complemented
50#2856C2211yescharacteristic
51#2856C2211yescharacteristic
52#2854C2212yes—
53#2838C2214yescomplemented
54#2829C2214yescomplemented
55#2829C2214yescomplemented
56#2829C2214yescomplemented
57#2828C2214yescomplemented
58#2826C2214yescomplemented
59#2826C2214yescomplemented
60#2825C2214yescomplemented
61#2825C2214yescomplemented
62#2825C2214yescomplemented
63#2823C2214yescomplemented
64#2818C2214yescomplemented
65#2813C2214yescomplemented
66#2812C2214yescomplemented
67#2786C2214yescomplemented
68#2784C2214yescomplemented
69#2778C2214yescomplemented
70#2778C2214yescomplemented
71#2770C2214yescomplemented
72#2757C2214yescomplemented
73#2735C2214yescomplemented
74#2718C2214yescomplemented
75#2718C2214yescomplemented
76#2715C2214yescomplemented
77#2714C2214yescomplemented
78#2714C2214yescomplemented
79#2714C2214yescomplemented
80#2709C2214yescomplemented
81#2705C2214yescomplemented
82#2705C2214yescomplemented
83#2705C2214yescomplemented
84#2703C2214yescomplemented
85#2697C2214yescomplemented
86#2697C2214yescomplemented
87#2691C2214yescomplemented
88#2685C2214yes—
89#2685C2214yescomplemented
90#2685C2214yescomplemented
91#2678C2214yes—
92#2678C2214yes—
93#2678C2214yescomplemented
94#2678C2214yescomplemented
95#2678C2214yescomplemented
96#2673C2214yescomplemented
97#2673C2214yescomplemented
98#2671C2214yescomplemented
99#2670C2214yes—
100#2669C2214yes—
101#2669C2214yescomplemented
102#2669C2214yescomplemented
103#2668C2214yescomplemented
104#2662C2214yescomplemented
105#2662C2214yescomplemented
106#2661C2214yescomplemented
107#2661C2214yescomplemented
108#2654C2214yescomplemented
109#2653C2214yescomplemented
110#2653C2214yescomplemented
111#2651C2214yescomplemented
112#2649C2214yescomplemented
113#2631C2214yescomplemented
114#2629C2212yescomplemented
115#2629C2212yescomplemented
116#2628C2212yescomplemented
117#2624C2212yes—
118#2624C2212yescomplemented
119#2620C2212yes—
120#2620C2212yescomplemented
121#2619C2212yes—
122#2619C2212yescomplemented
123#2618C2214yescomplemented
124#2616C2212yescomplemented
125#2615C2212yes—
126#2615C2212yescomplemented
127#2602C2214yescomplemented
128#2594C2214yescomplemented
129#2594C2214yescomplemented
130#2582C2211yescharacteristic, complemented
131#2566C2212yescomplemented
132#2562C2212yescomplemented
133#2562C2212yescomplemented
134#2559C2214yescomplemented
135#2559C2212yescomplemented
136#2557C2212yescomplemented
137#2554C2214yescomplemented
138#2554C2214yescomplemented
139#2554C2212yescomplemented
140#2554C2212yescomplemented
141#2552C2211yescharacteristic, complemented
142#2552C2211yescharacteristic, complemented
143#2550C2211yescharacteristic, complemented
144#2548C2211yescharacteristic
145#2548C2211yescharacteristic
146#2544C2211yescharacteristic
147#2544C2212yescomplemented
148#2541C2212yes—
149#2541C2211yescharacteristic
150#2541C2211yescharacteristic
151#2541C2212yescomplemented
152#2541C2214yescomplemented
153#2541C2212yescomplemented
154#2540C2211yescharacteristic
155#2540C2212yes—
156#2540C2212yescomplemented
157#2538C2211yescharacteristic
158#2538C2211yescharacteristic
159#2538C2211yescharacteristic, complemented
160#2538C2211yescharacteristic, complemented
161#2537C2211yescharacteristic
162#2537C2211yescharacteristic
163#2537C2211yescharacteristic, complemented
164#2535C2212yes—
165#2535C2211yescharacteristic, complemented
166#2535C2212yescomplemented
167#2535C2212yescomplemented
168#2525C2214yescomplemented
169#2521C2212yescomplemented
170#2514C2212yescomplemented
171#2513C2212yes—
172#2513C2212yes—
173#2512C2212yescomplemented
174#2512C2214yescomplemented
175#2512C2212yescomplemented
176#2512C2212yescomplemented
177#2512C2212yescomplemented
178#2504C2212yescomplemented
179#2501C2212yes—
180#2500C2212yescomplemented
181#2499C2212yescomplemented
182#2496C2212yescomplemented
183#2496C2212yescomplemented
184#2494C2212yescomplemented
185#2494C2212yescomplemented
186#2494C2212yescomplemented
187#2492C2211yescharacteristic, complemented
188#2491C2212yes—
189#2490C2212yes—
190#2490C2211yescharacteristic
191#2490C2212yes—
192#2490C2211yescharacteristic
193#2490C2212yescomplemented
194#2490C2211yescharacteristic, complemented
195#2490C2212yescomplemented
196#2487C2212yescomplemented
197#2479C2214yescomplemented
198#2474C2214yescomplemented
199#2467C2214yescomplemented
200#2464C2212yescomplemented
201#2456C2214yescomplemented
202#2456C2214yescomplemented
203#2456C2214yescomplemented
204#2456C2214yescomplemented
205#2454C2212yescomplemented
206#2445C2214yescomplemented
207#2445C2212yescomplemented
208#2445C2212yescomplemented
209#2443C2214yescomplemented
210#2441C2212yescomplemented
211#2435C2212yes—
212#2433C2212yes—
213#2433C2212yes—
214#2431C2212yescomplemented
215#2428C2212yes—
216#2428C2211yescharacteristic
217#2428C2212yes—
218#2428C2212yescomplemented
219#2427C2211yescharacteristic, complemented
220#2427C2212yescomplemented
221#2426C2211yescharacteristic
222#2426C2211yescharacteristic, complemented
223#2426C2212yescomplemented
224#2424C2214yes—
225#2422C2212yes—
226#2422C2212yescomplemented
227#2422C2212yescomplemented
228#2422C2212yescomplemented
229#2421C2212yescomplemented
230#2418C2214yescomplemented
231#2418C2214yescomplemented
232#2417C2212yescomplemented
233#2417C2212yescomplemented
234#2416C2212yes—
235#2416C2212yes—
236#2416C2212yescomplemented
237#2416C2212yescomplemented
238#2416C2212yescomplemented
239#2416C2212yescomplemented
240#2415C2212yescomplemented
241#2414C2212yes—
242#2414C2212yes—
243#2414C2212yes—
244#2414C2214yescomplemented
245#2414C2212yescomplemented
246#2411C2214yescomplemented
247#2408C2212yes—
248#2408C2212yes—
249#2408C2212yes—
250#2408C2212yes—
251#2408C2212yes—
252#2407C2212yes—
253#2407C2212yescomplemented
254#2407C2212yescomplemented
255#2395C2212yescomplemented
256#2392C2212yescomplemented
257#2392C2214yescomplemented
258#2392C2212yescomplemented
259#2388C2212yescomplemented
260#2370C2212yescomplemented
261#2366C2214yescomplemented
262#2362C2212yescomplemented
263#2361C2212yescomplemented
264#2361C2212yescomplemented
265#2355C2211yescharacteristic, complemented
266#2354C2211yescharacteristic
267#2354C2211yescharacteristic
268#2354C2212yescomplemented
269#2352C2212yescomplemented
270D4×C4⋊C4C2212yescomplemented
271D4×C4⋊C4C2211yescharacteristic, complemented
272#2347C2212yescomplemented
273D4×C22⋊C4C2212yes—
274#2324C2212yescomplemented
275#2321C2214yescomplemented
276#2311C2212yescomplemented
277#2309C2212yes—
278C4×#127C2211yescharacteristic
279C4×#127C2211yescharacteristic
280C4×#127C2212yescomplemented
281C4×#127C2212yescomplemented
282C4×#125C2212yescomplemented
283C4×#124C2211yescharacteristic
284C4×C22⋊Q8C2211yescharacteristic, complemented
285C4×#121C2211yescharacteristic
286C4×#121C2211yescharacteristic
287C4×#121C2212yescomplemented
288C4×#121C2212yescomplemented
289C4×#121C2212yescomplemented
290C4×#121C2211yescharacteristic, complemented
291#2297C2212yescomplemented
292#2293C2212yescomplemented
293#2293C2212yescomplemented
294#2285C2211yescharacteristic, complemented
295C2×#384C2211yescharacteristic, complemented
296C42×Q8C2211yescharacteristic, complemented
297C42×D4C2211yescharacteristic, complemented
298C42×D4C2211yescharacteristic, complemented
299C22×#41C2312yes—
300C22×#41C2312yes—
301C23×D4C2312yes—
302C23×D4C2312yes—
303#553—48no—
304#553—48no—
305#553—48no—
306#550—44no—
307#546—48no—
308D42—44no—
309#535—48no—
310#532—44no—
311C2×C4⋊Q8C2311yescharacteristic
312C2×#127C2311yescharacteristic
313C2×#127C2311yescharacteristic
314C2×#127C2312yes—
315C2×#127C2312yes—
316C2×#127C2314yes—
317C2×#127C2311yescharacteristic
318C2×#127C2312yes—
319C2×#127C2314yes—
320#529—44no—
321#529—44no—
322#529—44no—
323#529—48no—
324C2×#126C2314yes—
325C2×#126C2312yes—
326C2×#126C2312yes—
327C2×#126C2312yes—
328C2×#126C2314yes—
329C2×#126C2314yes—
330C2×#126C2314yes—
331C2×#125C2312yes—
332C2×#125C2312yes—
333C2×#125C2311yescharacteristic
334C2×#125C2311yescharacteristic
335C2×#125C2311yescharacteristic
336C2×#124C2311yescharacteristic
337C2×#124C2311yescharacteristic
338C2×#124C2311yescharacteristic
339C2×#124C2314yes—
340C2×#124C2312yes—
341C2×#124C2312yes—
342C2×#124C2311yescharacteristic
343C2×#123C2314yes—
344C2×#123C2312yes—
345C2×#123C2312yes—
346C2×#123C2314yes—
347C2×#123C2312yes—
348C2×#123C2314yes—
349C2×#123C2314yes—
350C2×#123C2314yes—
351C2×#123C2314yes—
352C2×C22⋊Q8C2311yescharacteristic
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2311yescharacteristic
357C2×C22⋊Q8C2311yescharacteristic
358C2×C22⋊Q8C2311yescharacteristic
359C2×#121C2312yes—
360C2×#121C2311yescharacteristic
361C2×#121C2311yescharacteristic
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2312yes—
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2311yescharacteristic
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2312yes—
374C2×#121C2312yes—
375C2×#121C2312yes—
376C2×#121C2312yes—
377C2×#121C2312yes—
378C2×#121C2314yes—
379C2×#121C2311yescharacteristic
380C2×#121C2311yescharacteristic
381C2×#121C2311yescharacteristic
382C2×#121C2312yes—
383C2×#121C2312yes—
384C2×#121C2314yes—
385C2×#121C2314yes—
386C2×#121C2311yescharacteristic
387C2×#121C2314yes—
388C2×#121C2311yescharacteristic
389C2×#121C2314yes—
390C2×#121C2312yes—
391C2×#121C2314yes—
392C2×#121C2314yes—
393C2×#120C2314yes—
394C2×#120C2314yes—
395C2×#120C2314yes—
396C2×#120C2314yes—
397C2×#120C2314yes—
398C2×#120C2314yes—
399C2×#120C2314yes—
400C2×C4×Q8C2311yescharacteristic
401C2×C4×Q8C2311yescharacteristic
402C2×C4×Q8C2311yescharacteristic
403C2×C4×Q8C2311yescharacteristic
404C2×C4×D4C2312yes—
405C2×C4×D4C2312yes—
406C2×C4×D4C2311yescharacteristic
407C2×C4×D4C2311yescharacteristic
408C2×C4×D4C2311yescharacteristic
409C2×C4×D4C2311yescharacteristic
410C2×C4×D4C2311yescharacteristic
411C2×C4×D4C2311yescharacteristic
412C2×C4×D4C2312yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2312yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2314yes—
417C2×C4×D4C2312yes—
418C2×C4×D4C2312yes—
419C2×C4×D4C2312yes—
420C2×C4×D4C2314yes—
421C2×C4×D4C2312yes—
422C2×C4×D4C2314yes—
423C2×C4×D4C2314yes—
424C2×C4×D4C2312yes—
425C2×C4×D4C2311yescharacteristic
426C2×C4×D4C2312yes—
427C2×C4×D4C2312yes—
428C2×C4×D4C2311yescharacteristic
429C2×C4×D4C2311yescharacteristic
430C2×C4×D4C2312yes—
431C2×C4×D4C2314yes—
432C2×#117C2312yes—
433C2×#117C2312yes—
434C2×#117C2312yes—
435C2×#117C2312yes—
436C2×#117C2312yes—
437C2×#117C2312yes—
438C2×#117C2314yes—
439C22×C4⋊C4C2312yes—
440C22×C4⋊C4C2312yes—
441C22×C4⋊C4C2312yes—
442C22×C4⋊C4C2312yes—
443C22×C22⋊C4C2314yes—
444C22×C42C2311yescharacteristic
445C22×C42C2311yescharacteristic
446C22×C42C2312yes—
447#401C2314yes—
448#401C2314yes—
449#400C2314yes—
450#400C2314yes—
451#400C2314yes—
452#400C2312yes—
453#400C2314yes—
454#399C2314yes—
455#399C2314yes—
456#399C2314yes—
457#399C2314yes—
458#399C2312yes—
459#399C2314yes—
460#398C2314yes—
461#398C2314yes—
462#398C2314yes—
463#398C2312yes—
464#398C2312yes—
465#398C2314yes—
466#398C2314yes—
467#398C2312yes—
468#397C2312yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#397C2314yes—
477#397C2314yes—
478#397C2314yes—
479#397C2312yes—
480#397C2314yes—
481#397C2314yes—
482#397C2314yes—
483#397C2314yes—
484#397C2314yes—
485#397C2312yes—
486#397C2312yes—
487#397C2312yes—
488#396C2314yes—
489#396C2314yes—
490#396C2314yes—
491#396C2314yes—
492#396C2314yes—
493#396C2314yes—
494#396C2314yes—
495#396C2314yes—
496#396C2312yes—
497#396C2314yes—
498#396C2312yes—
499#396C2314yes—
500#396C2314yes—
501#396C2314yes—
502#396C2314yes—
503#396C2312yes—
504#396C2312yes—
505#396C2314yes—
506#395C2312yes—
507#395C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2312yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2312yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2312yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2312yes—
533#394C2314yes—
534#394C2314yes—
535#394C2314yes—
536#394C2312yes—
537#394C2312yes—
538#394C2314yes—
539#394C2314yes—
540#394C2314yes—
541#394C2314yes—
542#394C2314yes—
543#394C2312yes—
544#394C2312yes—
545#394C2314yes—
546#394C2312yes—
547#394C2312yes—
548#394C2312yes—
549#394C2314yes—
550#394C2314yes—
551#393C2314yes—
552#393C2314yes—
553#393C2312yes—
554#392C2312yes—
555#392C2314yes—
556#392C2314yes—
557#392C2314yes—
558#392C2314yes—
559#392C2314yes—
560#392C2314yes—
561#392C2312yes—
562#392C2314yes—
563#392C2314yes—
564#392C2314yes—
565#392C2314yes—
566#392C2314yes—
567#392C2314yes—
568#392C2314yes—
569#392C2314yes—
570#392C2314yes—
571#392C2314yes—
572#392C2314yes—
573#392C2314yes—
574#392C2314yes—
575#392C2312yes—
576#392C2314yes—
577#392C2314yes—
578#392C2312yes—
579#392C2312yes—
580#392C2314yes—
581#391C2311yescharacteristic
582#391C2312yes—
583#391C2312yes—
584#391C2312yes—
585#391C2312yes—
586#391C2312yes—
587#391C2311yescharacteristic
588#390C2311yescharacteristic
589#390C2312yes—
590#390C2312yes—
591#390C2312yes—
592#390C2312yes—
593#390C2312yes—
594#390C2311yescharacteristic
595#390C2312yes—
596#390C2312yes—
597#390C2312yes—
598#390C2312yes—
599#390C2312yes—
600#390C2312yes—
601#390C2314yes—
602#390C2314yes—
603#390C2312yes—
604#390C2312yes—
605#390C2311yescharacteristic
606#390C2312yes—
607#390C2314yes—
608#390C2312yes—
609#390C2314yes—
610#390C2312yes—
611#390C2314yes—
612#390C2312yes—
613#390C2314yes—
614#390C2312yes—
615#390C2312yes—
616#390C2312yes—
617#390C2312yes—
618#390C2312yes—
619#390C2312yes—
620#390C2312yes—
621#390C2312yes—
622#390C2314yes—
623#390C2311yescharacteristic
624#390C2314yes—
625#390C2314yes—
626#390C2312yes—
627#390C2312yes—
628#390C2312yes—
629#390C2312yes—
630#390C2314yes—
631#390C2314yes—
632#390C2312yes—
633#390C2311yescharacteristic
634#390C2311yescharacteristic
635#390C2312yes—
636#389C2312yes—
637#389C2312yes—
638#389C2311yescharacteristic
639#389C2312yes—
640#389C2312yes—
641#389C2312yes—
642#389C2314yes—
643#389C2312yes—
644#389C2312yes—
645#389C2312yes—
646#389C2312yes—
647#389C2314yes—
648#389C2311yescharacteristic
649#389C2311yescharacteristic
650#389C2311yescharacteristic
651#389C2312yes—
652#389C2312yes—
653#389C2312yes—
654#389C2312yes—
655#389C2312yes—
656#389C2312yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2312yes—
669#388C2312yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2312yes—
681#388C2312yes—
682#388C2314yes—
683#388C2314yes—
684#388C2314yes—
685#388C2314yes—
686#388C2312yes—
687#388C2312yes—
688#388C2312yes—
689#388C2312yes—
690#388C2312yes—
691#388C2312yes—
692#388C2312yes—
693#387C2314yes—
694#387C2314yes—
695#387C2314yes—
696#387C2314yes—
697#387C2314yes—
698#387C2312yes—
699#387C2314yes—
700#387C2314yes—
701#387C2314yes—
702#387C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2312yes—
708#386C2312yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2314yes—
715#386C2314yes—
716#386C2314yes—
717#386C2314yes—
718#386C2314yes—
719#386C2314yes—
720#386C2314yes—
721#386C2314yes—
722#386C2312yes—
723#386C2314yes—
724#386C2314yes—
725#386C2312yes—
726#386C2312yes—
727#386C2312yes—
728#386C2312yes—
729#386C2312yes—
730#386C2312yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#385C2314yes—
735#385C2314yes—
736#385C2314yes—
737#385C2314yes—
738#385C2314yes—
739#385C2312yes—
740#384C2311yescharacteristic
741#384C2311yescharacteristic
742#384C2312yes—
743#384C2312yes—
744#384C2312yes—
745#384C2312yes—
746#384C2311yescharacteristic
747#384C2311yescharacteristic
748#384C2312yes—
749#383C2314yes—
750#382C2311yescharacteristic
751#382C2312yes—
752#382C2312yes—
753#382C2312yes—
754#380C2312yes—
755#380C2312yes—
756#380C2312yes—
757#380C2312yes—
758#380C2312yes—
759#380C2312yes—
760#380C2312yes—
761#380C2312yes—
762#380C2314yes—
763#380C2314yes—
764#380C2311yescharacteristic
765#380C2312yes—
766#380C2312yes—
767#380C2311yescharacteristic
768#380C2312yes—
769#380C2311yescharacteristic
770#380C2312yes—
771#380C2312yes—
772#380C2314yes—
773#380C2312yes—
774#380C2312yes—
775#380C2311yescharacteristic
776#379C2314yes—
777#379C2314yes—
778#379C2314yes—
779#379C2314yes—
780#379C2314yes—
781C4×C4⋊C4C2314yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2314yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2314yes—
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2311yescharacteristic
801C4×C4⋊C4C2311yescharacteristic
802C4×C4⋊C4C2311yescharacteristic
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2311yescharacteristic
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2311yescharacteristic
818C4×C22⋊C4C2311yescharacteristic
819C4×C22⋊C4C2312yes—
820C43C2312yes—
821C43C2311yescharacteristic
822C25C2414yes—
823C2×#41—44no—
824C2×#41—44no—
825C2×#41—44no—
826C2×#41—44no—
827C2×#41—44no—
828C2×#41—44no—
829C22×Q8C2411yescharacteristic
830C22×Q8C2411yescharacteristic
831C22×Q8C2412yes—
832C22×D4—44no—
833C22×D4—44no—
834C22×D4—44no—
835C22×D4—44no—
836C22×D4—44no—
837C22×D4—44no—
838C22×D4C2411yescharacteristic
839C22×D4C2411yescharacteristic
840C22×D4C2412yes—
841C22×D4C2411yescharacteristic
842C22×D4C2411yescharacteristic
843C22×D4C2412yes—
844C22×D4C2411yescharacteristic
845C22×D4C2412yes—
846C22×D4C2412yes—
847C22×D4C2412yes—
848C22×D4C2412yes—
849C22×D4C2412yes—
850C22×D4C2412yes—
851C22×D4C2414yes—
852C22×D4C2414yes—
853C22×D4C2412yes—
854C22×D4C2412yes—
855C22×D4C2412yes—
856C22×D4C2414yes—
857C22×D4C2412yes—
858C22×D4C2414yes—
859C22×D4C2414yes—
860C22×D4C2414yes—
861C22×D4C2412yes—
862C22×D4C2412yes—
863C22×D4C2414yes—
864C22×D4C2414yes—
865C22×D4C2414yes—
866C22×D4C2414yes—
867C22×D4C2414yes—
868C22×D4C2412yes—
869C23×C4C2411yescharacteristic
870C23×C4C2411yescharacteristic
871C23×C4C2412yes—
872C23×C4C2411yescharacteristic
873C23×C4C2412yes—
874C23×C4C2412yes—
875C23×C4C2412yes—
876C23×C4C2411yescharacteristic
877C23×C4C2411yescharacteristic
878C23×C4C2414yes—
879C23×C4C2412yes—
880C23×C4C2411yescharacteristic
881C23×C4C2414yes—
882C23×C4C2414yes—
883C23×C4C2414yes—
884C23×C4C2412yes—
885C4⋊Q8—42no—
886#127—24no—
887#127—44no—
888#127—42no—
889#127—42no—
890#127—48no—
891#127—44no—
892#127—44no—
893#127—48no—
894#126—44no—
895#126—44no—
896#126—44no—
897#126—48no—
898#126—48no—
899#126—48no—
900#126—48no—
901#125—28no—
902#125—28no—
903#125—42no—
904#125—42no—
905#125—42no—
906#124—24no—
907#124—44no—
908#124—48no—
909#124—42no—
910#124—42no—
911#124—42no—
912#124—44no—
913#123—48no—
914#123—48no—
915#123—44no—
916#123—44no—
917#123—44no—
918#123—48no—
919#123—48no—
920#123—48no—
921#123—84no—
922C22⋊Q8—42no—
923C22⋊Q8—44no—
924C22⋊Q8—44no—
925C22⋊Q8—42no—
926C22⋊Q8—42no—
927C22⋊Q8—42no—
928C22⋊Q8—44no—
929#121—28no—
930#121—24no—
931#121—24no—
932#121—44no—
933#121—48no—
934#121—48no—
935#121—48no—
936#121—48no—
937#121—48no—
938#121—44no—
939#121—42no—
940#121—44no—
941#121—44no—
942#121—44no—
943#121—42no—
944#121—42no—
945#121—42no—
946#121—42no—
947#121—42no—
948#121—44no—
949#121—44no—
950#121—44no—
951#121—44no—
952#121—44no—
953#121—44no—
954#121—44no—
955#121—44no—
956#121—44no—
957#121—44no—
958#121—44no—
959#121—44no—
960#121—84no—
961#121—84no—
962#121—82no—
963#120—48no—
964#120—48no—
965#120—48no—
966#120—48no—
967#120—48no—
968#120—84no—
969#120—84no—
970C4×Q8—24no—
971C4×Q8—24no—
972C4×Q8—24no—
973C4×Q8—42no—
974C4×D4—24no—
975C4×D4—24no—
976C4×D4—24no—
977C4×D4—24no—
978C4×D4—28no—
979C4×D4—28no—
980C4×D4—24no—
981C4×D4—24no—
982C4×D4—42no—
983C4×D4—44no—
984C4×D4—48no—
985C4×D4—44no—
986C4×D4—44no—
987C4×D4—48no—
988C4×D4—44no—
989C4×D4—44no—
990C4×D4—44no—
991C4×D4—42no—
992C4×D4—44no—
993C4×D4—44no—
994C4×D4—44no—
995C4×D4—44no—
996C4×D4—44no—
997C4×D4—48no—
998C4×D4—48no—
999C4×D4—42no—
1000C4×D4—82no—
1001C4×D4—84no—
1002#117—28no—
1003#117—44no—
1004#117—44no—
1005#117—44no—
1006#117—48no—
1007#117—44no—
1008#117—44no—
1009C2×C4⋊C4—44no—
1010C2×C4⋊C4—44no—
1011C2×C4⋊C4—44no—
1012C2×C4⋊C4—82no—
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2411yescharacteristic
1024C2×C4⋊C4C2411yescharacteristic
1025C2×C4⋊C4C2411yescharacteristic
1026C2×C4⋊C4C2411yescharacteristic
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2411yescharacteristic
1029C2×C4⋊C4C2411yescharacteristic
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2411yescharacteristic
1032C2×C4⋊C4C2411yescharacteristic
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2414yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2411yescharacteristic
1058C2×C4⋊C4C2411yescharacteristic
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2414yes—
1063C2×C4⋊C4C2414yes—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2414yes—
1068C2×C4⋊C4C2411yescharacteristic
1069C2×C22⋊C4—48no—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2411yescharacteristic
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2411yescharacteristic
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2411yescharacteristic
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2411yescharacteristic
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2411yescharacteristic
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2411yescharacteristic
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2412yes—
1153C2×C42—24no—
1154C2×C42—24no—
1155C2×C42—44no—
1156C2×C42C2412yes—
1157C2×C42C2412yes—
1158C2×C42C2411yescharacteristic
1159C2×C42C2411yescharacteristic
1160C2×C42C2411yescharacteristic
1161C2×C42C2412yes—
1162C2×C42C2414yes—
1163C2×C42C2411yescharacteristic
1164C2×C42C2411yescharacteristic
1165C2×C42C2412yes—
1166C2×C42C2411yescharacteristic
1167C2×C42C2412yes—
1168C2×C42C2411yescharacteristic
1169C2×C42C2411yescharacteristic
1170C2×C42C2411yescharacteristic
1171C2×C42C2412yes—
1172C2×C42C2414yes—
1173C2×C42C2414yes—
1174C2×C42C2411yescharacteristic
1175C2×C42C2412yes—
1176C2×C42C2411yescharacteristic
1177C2×C42C2412yes—
1178C2×C42C2412yes—
1179C2×C42C2412yes—
1180C2×C42C2414yes—
1181C2×C42C2411yescharacteristic
1182C2×C42C2411yescharacteristic
1183#95C2411yescharacteristic
1184#95C2411yescharacteristic
1185#95C2411yescharacteristic
1186#95C2412yes—
1187#95C2412yes—
1188#95C2411yescharacteristic
1189#95C2412yes—
1190#95C2411yescharacteristic
1191#95C2411yescharacteristic
1192#95C2412yes—
1193#95C2412yes—
1194#95C2414yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2414yes—
1200#95C2412yes—
1201#95C2414yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2414yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2414yes—
1214#95C2414yes—
1215#95C2414yes—
1216#95C2414yes—
1217#95C2414yes—
1218#95C2414yes—
1219#95C2414yes—
1220#95C2414yes—
1221#95C2414yes—
1222#95C2414yes—
1223#95C2414yes—
1224#95C2414yes—
1225#95C2414yes—
1226#95C2414yes—
1227#95C2414yes—
1228#95C2414yes—
1229C24—44no—
1230C24—44no—
1231C24—44no—
1232C24—44no—
1233C24—44no—
1234C24—44no—
1235C24—44no—
1236C24C2512yes—
1237C24C2512yes—
1238C24C2514yes—
1239C24C2512yes—
1240C24C2511yescharacteristic
1241C24C2512yes—
1242C24C2511yescharacteristic
1243#41—816no—
1244#41—816no—
1245C2×Q8—22no—
1246C2×Q8—22no—
1247C2×Q8—22no—
1248C2×Q8—22no—
1249C2×Q8—22no—
1250C2×Q8—22no—
1251C2×Q8—42no—
1252C2×Q8—42no—
1253C2×Q8—42no—
1254C2×D4—22no—
1255C2×D4—24no—
1256C2×D4—24no—
1257C2×D4—24no—
1258C2×D4—28no—
1259C2×D4—24no—
1260C2×D4—22no—
1261C2×D4—22no—
1262C2×D4—22no—
1263C2×D4—24no—
1264C2×D4—22no—
1265C2×D4—22no—
1266C2×D4—22no—
1267C2×D4—24no—
1268C2×D4—22no—
1269C2×D4—24no—
1270C2×D4—24no—
1271C2×D4—22no—
1272C2×D4—22no—
1273C2×D4—24no—
1274C2×D4—24no—
1275C2×D4—28no—
1276C2×D4—24no—
1277C2×D4—24no—
1278C2×D4—22no—
1279C2×D4—22no—
1280C2×D4—24no—
1281C2×D4—22no—
1282C2×D4—22no—
1283C2×D4—24no—
1284C2×D4—41no—
1285C2×D4—42no—
1286C2×D4—42no—
1287C2×D4—44no—
1288C2×D4—44no—
1289C2×D4—42no—
1290C2×D4—42no—
1291C2×D4—42no—
1292C2×D4—42no—
1293C2×D4—42no—
1294C2×D4—42no—
1295C2×D4—44no—
1296C2×D4—42no—
1297C2×D4—42no—
1298C2×D4—42no—
1299C2×D4—44no—
1300C2×D4—44no—
1301C2×D4—44no—
1302C2×D4—42no—
1303C2×D4—42no—
1304C2×D4—42no—
1305C2×D4—42no—
1306C2×D4—44no—
1307C2×D4—44no—
1308C2×D4—42no—
1309C2×D4—44no—
1310C2×D4—42no—
1311C2×D4—42no—
1312C2×D4—44no—
1313C2×D4—44no—
1314C2×D4—42no—
1315C2×D4—42no—
1316C2×D4—42no—
1317C2×D4—44no—
1318C2×D4—42no—
1319C2×D4—42no—
1320C2×D4—42no—
1321C2×D4—44no—
1322C2×D4—42no—
1323C2×D4—44no—
1324C2×D4—42no—
1325C2×D4—44no—
1326C2×D4—42no—
1327C2×D4—42no—
1328C2×D4—44no—
1329C2×D4—44no—
1330C2×D4—44no—
1331C2×D4—42no—
1332C2×D4—42no—
1333C2×D4—44no—
1334C2×D4—42no—
1335C2×D4—44no—
1336C2×D4—44no—
1337C2×D4—44no—
1338C2×D4—44no—
1339C2×D4—44no—
1340C2×D4—44no—
1341C2×D4—44no—
1342C2×D4—44no—
1343C2×D4—44no—
1344C2×D4—44no—
1345C2×D4—44no—
1346C2×D4—44no—
1347C2×D4—816no—
1348C2×D4—816no—
1349C22×C4—22no—
1350C22×C4—22no—
1351C22×C4—22no—
1352C22×C4—22no—
1353C22×C4—22no—
1354C22×C4—22no—
1355C22×C4—24no—
1356C22×C4—22no—
1357C22×C4—22no—
1358C22×C4—24no—
1359C22×C4—24no—
1360C22×C4—22no—
1361C22×C4—24no—
1362C22×C4—24no—
1363C22×C4—24no—
1364C22×C4—24no—
1365C22×C4—24no—
1366C22×C4—22no—
1367C22×C4—22no—
1368C22×C4—22no—
1369C22×C4—24no—
1370C22×C4—24no—
1371C22×C4—22no—
1372C22×C4—22no—
1373C22×C4—24no—
1374C22×C4—24no—
1375C22×C4—22no—
1376C22×C4—28no—
1377C22×C4—24no—
1378C22×C4—41no—
1379C22×C4—42no—
1380C22×C4—42no—
1381C22×C4—44no—
1382C22×C4—44no—
1383C22×C4—44no—
1384C22×C4—41no—
1385C22×C4—42no—
1386C22×C4—42no—
1387C22×C4—44no—
1388C22×C4—42no—
1389C22×C4—41no—
1390C22×C4—44no—
1391C22×C4—44no—
1392C22×C4—44no—
1393C22×C4—44no—
1394C22×C4—44no—
1395C22×C4—44no—
1396C22×C4—44no—
1397C22×C4C2512yes—
1398C22×C4C2511yescharacteristic
1399C22×C4C2511yescharacteristic
1400C22×C4C2512yes—
1401C22×C4C2512yes—
1402C22×C4C2511yescharacteristic
1403C22×C4C2514yes—
1404C22×C4C2512yes—
1405C22×C4C2512yes—
1406C22×C4C2511yescharacteristic
1407C22×C4C2512yes—
1408C22×C4C2512yes—
1409C22×C4C2512yes—
1410C22×C4C2514yes—
1411C22×C4C2512yes—
1412C22×C4C2512yes—
1413C22×C4C2511yescharacteristic
1414C22×C4C2514yes—
1415C22×C4C2511yescharacteristic
1416C22×C4C2512yes—
1417C22×C4C2511yescharacteristic
1418C22×C4C2511yescharacteristic
1419C22×C4C2512yes—
1420C22×C4C2511yescharacteristic
1421C22×C4C2511yescharacteristic
1422C22×C4C2511yescharacteristic
1423C22×C4C2511yescharacteristic
1424C22×C4C2511yescharacteristic
1425C4⋊C4—22no—
1426C4⋊C4—24no—
1427C4⋊C4—24no—
1428C4⋊C4—24no—
1429C4⋊C4—24no—
1430C4⋊C4—24no—
1431C4⋊C4—28no—
1432C4⋊C4—22no—
1433C4⋊C4—22no—
1434C4⋊C4—22no—
1435C4⋊C4—22no—
1436C4⋊C4—24no—
1437C4⋊C4—22no—
1438C4⋊C4—28no—
1439C4⋊C4—28no—
1440C4⋊C4—22no—
1441C4⋊C4—24no—
1442C4⋊C4—22no—
1443C4⋊C4—24no—
1444C4⋊C4—24no—
1445C4⋊C4—28no—
1446C4⋊C4—22no—
1447C4⋊C4—22no—
1448C4⋊C4—24no—
1449C4⋊C4—44no—
1450C4⋊C4—44no—
1451C4⋊C4—44no—
1452C4⋊C4—42no—
1453C4⋊C4—42no—
1454C4⋊C4—44no—
1455C4⋊C4—42no—
1456C4⋊C4—42no—
1457C4⋊C4—42no—
1458C4⋊C4—44no—
1459C4⋊C4—42no—
1460C4⋊C4—42no—
1461C4⋊C4—42no—
1462C4⋊C4—41no—
1463C4⋊C4—42no—
1464C4⋊C4—42no—
1465C4⋊C4—41no—
1466C4⋊C4—42no—
1467C4⋊C4—42no—
1468C4⋊C4—42no—
1469C4⋊C4—42no—
1470C4⋊C4—42no—
1471C4⋊C4—42no—
1472C4⋊C4—44no—
1473C4⋊C4—42no—
1474C4⋊C4—42no—
1475C4⋊C4—42no—
1476C4⋊C4—44no—
1477C4⋊C4—44no—
1478C4⋊C4—44no—
1479C4⋊C4—42no—
1480C4⋊C4H(5,𝔽2)14yes—
1481C22⋊C4—22no—
1482C22⋊C4—24no—
1483C22⋊C4—24no—
1484C22⋊C4—28no—
1485C22⋊C4—28no—
1486C22⋊C4—22no—
1487C22⋊C4—24no—
1488C22⋊C4—24no—
1489C22⋊C4—24no—
1490C22⋊C4—28no—
1491C22⋊C4—24no—
1492C22⋊C4—24no—
1493C22⋊C4—24no—
1494C22⋊C4—22no—
1495C22⋊C4—24no—
1496C22⋊C4—24no—
1497C22⋊C4—24no—
1498C22⋊C4—44no—
1499C22⋊C4—44no—
1500C22⋊C4—44no—
1501C22⋊C4—44no—
1502C22⋊C4—42no—
1503C22⋊C4—42no—
1504C22⋊C4—42no—
1505C22⋊C4—42no—
1506C22⋊C4—42no—
1507C22⋊C4—42no—
1508C22⋊C4—44no—
1509C22⋊C4—42no—
1510C22⋊C4—42no—
1511C22⋊C4—42no—
1512C22⋊C4—42no—
1513C22⋊C4—42no—
1514C22⋊C4—42no—
1515C22⋊C4—41no—
1516C22⋊C4—42no—
1517C22⋊C4—41no—
1518C22⋊C4—41no—
1519C22⋊C4—42no—
1520C22⋊C4—44no—
1521C22⋊C4—42no—
1522C22⋊C4—42no—
1523C22⋊C4—44no—
1524C22⋊C4—44no—
1525C22⋊C4—44no—
1526C22⋊C4—44no—
1527C22⋊C4—42no—
1528C22⋊C4—42no—
1529C22⋊C4—44no—
1530C22⋊C4—42no—
1531C22⋊C4—42no—
1532C22⋊C4—44no—
1533C22⋊C4—42no—
1534C22⋊C4—42no—
1535C22⋊C4—42no—
1536C22⋊C4—44no—
1537C22⋊C4—44no—
1538C22⋊C4—44no—
1539C22⋊C4—44no—
1540C22⋊C4—44no—
1541C22⋊C4—44no—
1542C22⋊C4—44no—
1543C22⋊C4—44no—
1544C22⋊C4—44no—
1545C22⋊C4—44no—
1546C22⋊C4—42no—
1547C22⋊C4—42no—
1548C22⋊C4—44no—
1549C22⋊C4—44no—
1550C22⋊C4—44no—
1551C22⋊C4—42no—
1552C22⋊C4—44no—
1553C22⋊C4—44no—
1554C22⋊C4—44no—
1555C22⋊C4—42no—
1556C22⋊C4—44no—
1557C22⋊C4—44no—
1558C22⋊C4—44no—
1559C22⋊C4—42no—
1560C22⋊C4—44no—
1561C22⋊C4—42no—
1562C22⋊C4—42no—
1563C22⋊C4—42no—
1564C42—22no—
1565C42—22no—
1566C42—22no—
1567C42—22no—
1568C42—22no—
1569C42—22no—
1570C42—22no—
1571C42—24no—
1572C42—28no—
1573C42—24no—
1574C42—24no—
1575C42—24no—
1576C42—22no—
1577C42—24no—
1578C42—22no—
1579C42—42no—
1580C42—42no—
1581C42—44no—
1582C42—44no—
1583C42—41no—
1584C42—41no—
1585C42—42no—
1586C42—42no—
1587C42—42no—
1588C42—44no—
1589C42H(5,𝔽2)14yes—
1590C42H(5,𝔽2)14yes—
1591C23—21no—
1592C23—21no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—22no—
1598C23—22no—
1599C23—22no—
1600C23—21no—
1601C23—22no—
1602C23—22no—
1603C23—22no—
1604C23—24no—
1605C23—22no—
1606C23—22no—
1607C23—24no—
1608C23—22no—
1609C23—22no—
1610C23—22no—
1611C23—21no—
1612C23—22no—
1613C23—24no—
1614C23—21no—
1615C23—21no—
1616C23—22no—
1617C23—22no—
1618C23—22no—
1619C23—22no—
1620C23—22no—
1621C23—24no—
1622C23—24no—
1623C23—22no—
1624C23—21no—
1625C23—22no—
1626C23—21no—
1627C23—22no—
1628C23—22no—
1629C23—22no—
1630C23—24no—
1631C23—22no—
1632C23—22no—
1633C23—22no—
1634C23—24no—
1635C23—22no—
1636C23—22no—
1637C23—21no—
1638C23—22no—
1639C23—88no—
1640C23—88no—
1641C23—88no—
1642C23—164no—
1643C23—164no—
1644C23—164no—
1645C23—164no—
1646C23#58512yes—
1647C23C2611yescharacteristic
1648Q8—44no—
1649Q8—44no—
1650Q8—84no—
1651D4—44no—
1652D4—48no—
1653D4—44no—
1654D4—44no—
1655D4—48no—
1656D4—44no—
1657D4—44no—
1658D4—48no—
1659D4—84no—
1660D4—88no—
1661D4—84no—
1662D4—84no—
1663D4—88no—
1664D4—84no—
1665D4—84no—
1666D4—84no—
1667D4—88no—
1668D4—88no—
1669D4—84no—
1670D4—84no—
1671D4—84no—
1672D4—88no—
1673D4—88no—
1674D4—84no—
1675D4—84no—
1676D4—84no—
1677D4—88no—
1678D4—164no—
1679D4—164no—
1680D4—164no—
1681D4—164no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—22no—
1685C2×C4—21no—
1686C2×C4—22no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—22no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—22no—
1699C2×C4—22no—
1700C2×C4—24no—
1701C2×C4—22no—
1702C2×C4—22no—
1703C2×C4—22no—
1704C2×C4—22no—
1705C2×C4—22no—
1706C2×C4—21no—
1707C2×C4—22no—
1708C2×C4—22no—
1709C2×C4—22no—
1710C2×C4—24no—
1711C2×C4—24no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—22no—
1715C2×C4—21no—
1716C2×C4—22no—
1717C2×C4—22no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—22no—
1721C2×C4—24no—
1722C2×C4—24no—
1723C2×C4—21no—
1724C2×C4—22no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—22no—
1728C2×C4—21no—
1729C2×C4—22no—
1730C2×C4—24no—
1731C2×C4—22no—
1732C2×C4—22no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—22no—
1738C2×C4—22no—
1739C2×C4—22no—
1740C2×C4—24no—
1741C2×C4—21no—
1742C2×C4—22no—
1743C2×C4—22no—
1744C2×C4—21no—
1745C2×C4—22no—
1746C2×C4—22no—
1747C2×C4—21no—
1748C2×C4—22no—
1749C2×C4—22no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—22no—
1753C2×C4—22no—
1754C2×C4—24no—
1755C2×C4—24no—
1756C2×C4—44no—
1757C2×C4—44no—
1758C2×C4—44no—
1759C2×C4—44no—
1760C2×C4—48no—
1761C2×C4—48no—
1762C2×C4—48no—
1763C2×C4—48no—
1764C2×C4—44no—
1765C2×C4—84no—
1766C2×C4—88no—
1767C2×C4—82no—
1768C2×C4—84no—
1769C2×C4—88no—
1770C2×C4—164no—
1771C2×C4—164no—
1772C2×C4C2×H(5,𝔽2)14yes—
1773C2×C4C2×H(5,𝔽2)12yes—
1774C2×C4C2×H(5,𝔽2)12yes—
1775C2×C4C2×H(5,𝔽2)12yes—
1776C2×C4C2×H(5,𝔽2)12yes—
1777C2×C4C2×H(5,𝔽2)12yes—
1778C2×C4C2×H(5,𝔽2)12yes—
1779C2×C4C2×H(5,𝔽2)12yes—
1780C2×C4#58512yes—
1781C2×C4#58512yes—
1782C22—22no—
1783C22—22no—
1784C22—22no—
1785C22—41no—
1786C22—41no—
1787C22—41no—
1788C22—41no—
1789C22—41no—
1790C22—42no—
1791C22—42no—
1792C22—42no—
1793C22—41no—
1794C22—42no—
1795C22—44no—
1796C22—42no—
1797C22—42no—
1798C22—44no—
1799C22—42no—
1800C22—42no—
1801C22—41no—
1802C22—42no—
1803C22—42no—
1804C22—44no—
1805C22—42no—
1806C22—42no—
1807C22—42no—
1808C22—42no—
1809C22—41no—
1810C22—44no—
1811C22—42no—
1812C22—42no—
1813C22—42no—
1814C22—44no—
1815C22—42no—
1816C22—41no—
1817C22—42no—
1818C22—42no—
1819C22—42no—
1820C22—42no—
1821C22—44no—
1822C22—42no—
1823C22—41no—
1824C22—42no—
1825C22—41no—
1826C22—42no—
1827C22—42no—
1828C22—44no—
1829C22—42no—
1830C22—42no—
1831C22—1616no—
1832C22C22×H(5,𝔽2)11yescharacteristic
1833C22C22×H(5,𝔽2)11yescharacteristic
1834C22C22×H(5,𝔽2)11yescharacteristic
1835C22C2×#58511yescharacteristic
1836C22C2×#58511yescharacteristic
1837C22C2×#58511yescharacteristic
1838C22H(7,𝔽2)11yescharacteristic
1839C4—22no—
1840C4—24no—
1841C4—22no—
1842C4—22no—
1843C4—41no—
1844C4—41no—
1845C4—41no—
1846C4—42no—
1847C4—42no—
1848C4—42no—
1849C4—41no—
1850C4—42no—
1851C4—42no—
1852C4—42no—
1853C4—44no—
1854C4—41no—
1855C4—42no—
1856C4—42no—
1857C4—44no—
1858C4—44no—
1859C4—42no—
1860C4—41no—
1861C4—41no—
1862C4—41no—
1863C4—42no—
1864C4—42no—
1865C4#354614yes—
1866C4#354614yes—
1867C2—42no—
1868C2—81no—
1869C2—82no—
1870C2—82no—
1871C2—84no—
1872C2—82no—
1873C2—82no—
1874C2C2×#354611yescharacteristic
1875C2C2×#354611yescharacteristic
1876C2#6274811yescharacteristic
1877C2#6291611yescharacteristic
1878C2#6293811yescharacteristic
1879C2#6295711yescharacteristic
1880C2#6301811yescharacteristic
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. #59680C2semidirect
2. #59412C2semidirect
3. #59304C2semidirect
4. #59243C2semidirect
5. #59053C2semidirect
6. #53784C2semidirect
7. #53737C2semidirect
8. #53063C2semidirect
9. #52977C2semidirect
10. #52971C2semidirect
11. #52956C2semidirect
12. #52479C2semidirect
13. #42986C2semidirect
14. #42974C2semidirect
15. #42768C2semidirect
16. #42505C2semidirect
17. #41261C2semidirect
18. #40044C2semidirect
19. #39948C2semidirect
20. #39342C2semidirect
21. #39138C2semidirect
22. #38945C2semidirect
23. #38910C2semidirect
24. #38909C2semidirect
25. #37786C2semidirect
26. #37621C2semidirect
27. #37620C2semidirect
28. #37573C2semidirect
29. #37515C2semidirect
30. #36590C2semidirect
31. #36468C2semidirect
32. #36182C2semidirect
33. #34934C2semidirect
34. #34934C2semidirect
35. #34889C2semidirect
36. C2×#553C22semidirect
37. C2×#553C22semidirect
38. C2×#553C22semidirect
45. C2×#529C22semidirect
46. C2×#529C22semidirect
47. C2×#529C22semidirect
49. #2859C22semidirect
53. #2838C22semidirect
54. #2829C22semidirect
55. #2829C22semidirect
56. #2829C22semidirect
57. #2828C22semidirect
58. #2826C22semidirect
59. #2826C22semidirect
60. #2825C22semidirect
61. #2825C22semidirect
62. #2825C22semidirect
63. #2823C22semidirect
64. #2818C22semidirect
65. #2813C22semidirect
66. #2812C22semidirect
67. #2786C22semidirect
68. #2784C22semidirect
69. #2778C22semidirect
70. #2778C22semidirect
71. #2770C22semidirect
72. #2757C22semidirect
73. #2735C22semidirect
74. #2718C22semidirect
75. #2718C22semidirect
76. #2715C22semidirect
77. #2714C22semidirect
78. #2714C22semidirect
79. #2714C22semidirect
80. #2709C22semidirect
81. #2705C22semidirect
82. #2705C22semidirect
83. #2705C22semidirect
84. #2703C22semidirect
85. #2697C22semidirect
86. #2697C22semidirect
87. #2691C22semidirect
89. #2685C22semidirect
90. #2685C22semidirect
93. #2678C22semidirect
94. #2678C22semidirect
95. #2678C22semidirect
96. #2673C22semidirect
97. #2673C22semidirect
98. #2671C22semidirect
101. #2669C22semidirect
102. #2669C22semidirect
103. #2668C22semidirect
104. #2662C22semidirect
105. #2662C22semidirect
106. #2661C22semidirect
107. #2661C22semidirect
108. #2654C22semidirect
109. #2653C22semidirect
110. #2653C22semidirect
111. #2651C22semidirect
112. #2649C22semidirect
113. #2631C22semidirect
114. #2629C22semidirect
115. #2629C22semidirect
116. #2628C22semidirect
118. #2624C22semidirect
120. #2620C22semidirect
122. #2619C22semidirect
123. #2618C22semidirect
124. #2616C22semidirect
126. #2615C22semidirect
127. #2602C22semidirect
128. #2594C22semidirect
129. #2594C22semidirect
130. #2582C22semidirect
131. #2566C22semidirect
132. #2562C22semidirect
133. #2562C22semidirect
134. #2559C22semidirect
135. #2559C22semidirect
136. #2557C22semidirect
137. #2554C22semidirect
138. #2554C22semidirect
139. #2554C22semidirect
140. #2554C22semidirect
141. #2552C22semidirect
142. #2552C22semidirect
143. #2550C22semidirect
147. #2544C22semidirect
151. #2541C22semidirect
152. #2541C22semidirect
153. #2541C22semidirect
156. #2540C22semidirect
159. #2538C22semidirect
160. #2538C22semidirect
163. #2537C22semidirect
165. #2535C22semidirect
166. #2535C22semidirect
167. #2535C22semidirect
168. #2525C22semidirect
169. #2521C22semidirect
170. #2514C22semidirect
173. #2512C22semidirect
174. #2512C22semidirect
175. #2512C22semidirect
176. #2512C22semidirect
177. #2512C22semidirect
178. #2504C22semidirect
180. #2500C22semidirect
181. #2499C22semidirect
182. #2496C22semidirect
183. #2496C22semidirect
184. #2494C22semidirect
185. #2494C22semidirect
186. #2494C22semidirect
187. #2492C22semidirect
193. #2490C22semidirect
194. #2490C22semidirect
195. #2490C22semidirect
196. #2487C22semidirect
197. #2479C22semidirect
198. #2474C22semidirect
199. #2467C22semidirect
200. #2464C22semidirect
201. #2456C22semidirect
202. #2456C22semidirect
203. #2456C22semidirect
204. #2456C22semidirect
205. #2454C22semidirect
206. #2445C22semidirect
207. #2445C22semidirect
208. #2445C22semidirect
209. #2443C22semidirect
210. #2441C22semidirect
214. #2431C22semidirect
218. #2428C22semidirect
219. #2427C22semidirect
220. #2427C22semidirect
222. #2426C22semidirect
223. #2426C22semidirect
226. #2422C22semidirect
227. #2422C22semidirect
228. #2422C22semidirect
229. #2421C22semidirect
230. #2418C22semidirect
231. #2418C22semidirect
232. #2417C22semidirect
233. #2417C22semidirect
236. #2416C22semidirect
237. #2416C22semidirect
238. #2416C22semidirect
239. #2416C22semidirect
240. #2415C22semidirect
244. #2414C22semidirect
245. #2414C22semidirect
246. #2411C22semidirect
253. #2407C22semidirect
254. #2407C22semidirect
255. #2395C22semidirect
256. #2392C22semidirect
257. #2392C22semidirect
258. #2392C22semidirect
259. #2388C22semidirect
260. #2370C22semidirect
261. #2366C22semidirect
262. #2362C22semidirect
263. #2361C22semidirect
264. #2361C22semidirect
265. #2355C22semidirect
268. #2354C22semidirect
269. #2352C22semidirect
270. D4×C4⋊C4C22semidirect
271. D4×C4⋊C4C22semidirect
272. #2347C22semidirect
274. #2324C22semidirect
275. #2321C22semidirect
276. #2311C22semidirect
280. C4×#127C22semidirect
281. C4×#127C22semidirect
282. C4×#125C22semidirect
284. C4×C22⋊Q8C22semidirect
287. C4×#121C22semidirect
288. C4×#121C22semidirect
289. C4×#121C22semidirect
290. C4×#121C22semidirect
291. #2297C22semidirect
292. #2293C22semidirect
293. #2293C22semidirect
294. #2285C22semidirect
295. C2×#384C22semidirect
296. C42×Q8C22semidirect
297. C42×D4C22semidirect
298. C42×D4C22semidirect

Maximal subgroups

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

subgroupindex
#596802
#594122
#593042
#592432
#590532
#537842
#537372
#530632
#529772
#529712
#529562
#524792
#429862
#429742
#427682
#425052
#412612
#400442
#399482
#393422
#391382
#389452
#389102
#389092
#377862
#376212
#376202
#375732
#375152
#365902
#364682
#361822
#349342
#348892