Finite Group Databasebeta

← #8425188

Subgroups — #8425188

Order 512.

5200 conjugacy classes of subgroups.

The subgroup lattice has 1821 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59418C211yesmaximal, characteristic, complemented
2#59377C212yesmaximal, complemented
3#59258C211yesmaximal, characteristic, complemented
4#59214C211yesmaximal, characteristic, complemented
5#59022C212yesmaximal, complemented
6#56360C214yesmaximal, complemented
7#55932C214yesmaximal, complemented
8#53135C212yesmaximal, complemented
9#53007C212yesmaximal, complemented
10#52982C212yesmaximal, complemented
11#52976C212yesmaximal, complemented
12#52499C214yesmaximal, complemented
13#42988C212yesmaximal, complemented
14#42836C212yesmaximal, complemented
15#42798C212yesmaximal, complemented
16#42443C212yesmaximal, complemented
17#41251C214yesmaximal, complemented
18#40103C212yesmaximal, complemented
19#39909C212yesmaximal, complemented
20#39432C212yesmaximal, complemented
21#39377C211yesmaximal, characteristic, complemented
22#39377C211yesmaximal, characteristic, complemented
23#39340C211yesmaximal, characteristic, complemented
24#39127C211yesmaximal, characteristic, complemented
25#37669C212yesmaximal, complemented
26#37627C211yesmaximal, characteristic, complemented
27#37621C211yesmaximal, characteristic, complemented
28#37516C212yesmaximal, complemented
29#37476C212yesmaximal, complemented
30#36445C211yesmaximal, characteristic, complemented
31#36194C211yesmaximal, characteristic, complemented
32#36153C211yesmaximal, characteristic, complemented
33#34935C211yesmaximal, characteristic, complemented
34#34715C211yesmaximal, characteristic, complemented
35#34700C211yesmaximal, characteristic, complemented
36C2×#557C2211yescharacteristic, complemented
37C2×#552C2212yescomplemented
38C2×#547C2211yescharacteristic
39C2×#546C2212yes—
40C2×#542C2212yes—
41C2×#542C2212yescomplemented
42C2×#537C2212yes—
43C2×#532C2211yescharacteristic, complemented
44C2×#529C2211yescharacteristic
45C2×#525C2212yes—
46C2×C4×#41C2211yescharacteristic
47C22×C4×D4C2211yescharacteristic
48#2868C2211yescharacteristic, complemented
49#2857C2211yescharacteristic
50#2857C2212yescomplemented
51#2857C2211yescharacteristic, complemented
52#2847C2212yes—
53#2841C2214yes—
54#2841C2214yes—
55#2839C2214yescomplemented
56#2837C2214yescomplemented
57#2837C2214yescomplemented
58#2837C2214yescomplemented
59#2831C2214yescomplemented
60#2827C2214yescomplemented
61#2826C2214yescomplemented
62#2824C2214yescomplemented
63#2823C2214yescomplemented
64#2813C2214yes—
65#2813C2214yes—
66#2813C2214yescomplemented
67#2792C2214yescomplemented
68#2780C2214yes—
69#2773C2214yescomplemented
70#2752C2214yes—
71#2750C2214yes—
72#2743C2214yescomplemented
73#2740C2214yescomplemented
74#2725C2214yescomplemented
75#2718C2214yes—
76#2718C2214yescomplemented
77#2718C2214yescomplemented
78#2710C2214yes—
79#2708C2214yescomplemented
80#2707C2214yescomplemented
81#2707C2214yescomplemented
82#2707C2214yescomplemented
83#2706C2214yescomplemented
84#2706C2214yescomplemented
85#2705C2214yes—
86#2705C2214yes—
87#2704C2214yescomplemented
88#2696C2214yes—
89#2695C2214yescomplemented
90#2694C2214yes—
91#2689C2214yescomplemented
92#2686C2214yescomplemented
93#2685C2214yes—
94#2682C2214yes—
95#2682C2214yes—
96#2681C2214yescomplemented
97#2678C2214yes—
98#2678C2214yes—
99#2674C2214yescomplemented
100#2674C2214yescomplemented
101#2672C2214yescomplemented
102#2671C2214yescomplemented
103#2670C2214yes—
104#2667C2214yescomplemented
105#2665C2214yescomplemented
106#2663C2214yes—
107#2662C2214yescomplemented
108#2662C2214yescomplemented
109#2651C2214yescomplemented
110#2650C2214yescomplemented
111#2648C2214yescomplemented
112#2629C2212yescomplemented
113#2629C2212yescomplemented
114#2628C2212yescomplemented
115#2628C2212yescomplemented
116#2628C2212yescomplemented
117#2626C2214yes—
118#2626C2214yes—
119#2625C2212yescomplemented
120#2624C2212yescomplemented
121#2620C2214yes—
122#2620C2212yes—
123#2619C2212yescomplemented
124#2616C2212yescomplemented
125#2616C2212yescomplemented
126#2615C2212yes—
127#2601C2214yescomplemented
128#2597C2214yescomplemented
129#2587C2214yescomplemented
130#2575C2214yescomplemented
131#2571C2212yescomplemented
132#2569C2214yescomplemented
133#2566C2212yescomplemented
134#2563C2212yes—
135#2562C2212yescomplemented
136#2562C2212yescomplemented
137#2559C2214yescomplemented
138#2558C2214yescomplemented
139#2552C2211yescharacteristic, complemented
140#2549C2214yescomplemented
141#2547C2211yescharacteristic
142#2545C2212yes—
143#2542C2212yes—
144#2542C2211yescharacteristic, complemented
145#2540C2212yes—
146#2539C2214yes—
147#2538C2212yes—
148#2538C2212yes—
149#2538C2211yescharacteristic
150#2538C2212yes—
151#2538C2211yescharacteristic
152#2538C2211yescharacteristic, complemented
153#2538C2212yescomplemented
154#2538C2211yescharacteristic, complemented
155#2537C2211yescharacteristic
156#2537C2211yescharacteristic
157#2537C2211yescharacteristic
158#2537C2212yescomplemented
159#2536C2212yes—
160#2535C2212yes—
161#2534C2214yes—
162#2509C2212yescomplemented
163#2506C2212yescomplemented
164#2501C2212yes—
165#2501C2212yescomplemented
166#2497C2212yes—
167#2497C2212yescomplemented
168#2497C2212yescomplemented
169#2497C2212yescomplemented
170#2496C2212yescomplemented
171#2496C2212yescomplemented
172#2496C2212yescomplemented
173#2492C2212yes—
174#2492C2212yescomplemented
175#2491C2212yes—
176#2491C2212yescomplemented
177#2490C2212yescomplemented
178#2490C2212yescomplemented
179#2487C2212yes—
180#2486C2212yes—
181#2486C2212yes—
182#2485C2212yescomplemented
183#2480C2212yes—
184#2476C2212yescomplemented
185#2475C2214yescomplemented
186#2474C2212yescomplemented
187#2468C2212yes—
188#2467C2214yescomplemented
189#2467C2214yescomplemented
190#2459C2212yes—
191#2459C2214yescomplemented
192#2457C2212yes—
193#2457C2214yescomplemented
194#2456C2212yes—
195#2454C2214yes—
196#2454C2211yescharacteristic
197#2454C2214yescomplemented
198#2454C2212yescomplemented
199#2453C2212yescomplemented
200#2451C2211yescharacteristic, complemented
201#2447C2211yescharacteristic
202#2445C2211yescharacteristic, complemented
203#2442C2211yescharacteristic
204#2442C2212yescomplemented
205#2442C2212yescomplemented
206#2441C2212yes—
207#2441C2212yes—
208#2441C2214yescomplemented
209#2440C2212yescomplemented
210#2440C2212yescomplemented
211#2440C2212yescomplemented
212#2439C2212yes—
213#2439C2211yescharacteristic
214#2439C2212yescomplemented
215#2435C2211yescharacteristic
216#2432C2212yes—
217#2431C2211yescharacteristic
218#2429C2212yescomplemented
219#2429C2212yescomplemented
220#2428C2212yescomplemented
221#2427C2211yescharacteristic
222#2427C2212yes—
223#2427C2214yescomplemented
224#2426C2212yes—
225#2426C2212yes—
226#2426C2212yescomplemented
227#2426C2211yescharacteristic, complemented
228#2425C2214yes—
229#2425C2214yescomplemented
230#2423C2212yescomplemented
231#2423C2212yescomplemented
232#2423C2212yescomplemented
233#2422C2212yes—
234#2422C2212yes—
235#2422C2212yescomplemented
236#2421C2212yescomplemented
237#2421C2212yescomplemented
238#2420C2211yescharacteristic
239#2420C2211yescharacteristic, complemented
240#2418C2212yes—
241#2417C2211yescharacteristic
242#2417C2212yes—
243#2417C2212yescomplemented
244#2416C2212yes—
245#2416C2212yescomplemented
246#2414C2211yescharacteristic
247#2414C2212yescomplemented
248#2414C2212yescomplemented
249#2412C2214yes—
250#2411C2214yes—
251#2408C2212yes—
252#2408C2211yescharacteristic
253#2407C2211yescharacteristic
254#2407C2212yes—
255#2395C2212yes—
256#2392C2214yes—
257#2392C2212yes—
258#2392C2212yes—
259#2388C2212yes—
260#2369C2212yescomplemented
261#2363C2212yes—
262#2360C2212yescomplemented
263#2360C2212yescomplemented
264#2359C2214yescomplemented
265#2355C2212yescomplemented
266#2354C2212yes—
267#2354C2212yes—
268Q8×C4⋊C4C2212yescomplemented
269Q8×C4⋊C4C2211yescharacteristic, complemented
270Q8×C4⋊C4C2211yescharacteristic, complemented
271D4×C4⋊C4C2211yescharacteristic
272D4×C4⋊C4C2211yescharacteristic, complemented
273#2341C2212yes—
274#2341C2212yes—
275#2339C2212yes—
276#2335C2214yescomplemented
277#2323C2212yescomplemented
278C4×C4⋊Q8C2211yescharacteristic, complemented
279C4×#124C2211yescharacteristic
280C4×#124C2211yescharacteristic, complemented
281C4×C22⋊Q8C2211yescharacteristic
282C4×C22⋊Q8C2212yescomplemented
283C4×C22⋊Q8C2211yescharacteristic, complemented
284C4×#123C2212yescomplemented
285C4×#121C2212yes—
286C4×#121C2211yescharacteristic
287C4×#121C2212yes—
288C4×#121C2211yescharacteristic
289C4×#120C2212yes—
290#2297C2212yescomplemented
291#2293C2211yescharacteristic
292#2293C2211yescharacteristic, complemented
293#2285C2211yescharacteristic
294#2285C2211yescharacteristic, complemented
295#2280C2212yes—
296#2280C2212yes—
297C2×#380C2212yes—
298C42×D4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2312yes—
301C22×#41C2312yes—
302C23×D4C2311yescharacteristic
303C24×C4C2312yes—
304#557—44no—
305#552—48no—
306#547—44no—
307#546—48no—
308#542—48no—
309#542—48no—
310#537—48no—
311#532—44no—
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2312yes—
317C2×C4⋊Q8C2311yescharacteristic
318C2×#127C2311yescharacteristic
319#529—44no—
320C2×#126C2314yes—
321C2×#126C2314yes—
322C2×#126C2312yes—
323C2×#126C2314yes—
324C2×#125C2311yescharacteristic
325C2×#125C2312yes—
326C2×#125C2312yes—
327C2×#125C2314yes—
328C2×#125C2314yes—
329C2×#124C2311yescharacteristic
330C2×#124C2311yescharacteristic
331C2×#124C2314yes—
332C2×#124C2312yes—
333C2×#124C2312yes—
334C2×#124C2314yes—
335C2×#124C2311yescharacteristic
336#525—48no—
337C2×#123C2314yes—
338C2×#123C2314yes—
339C2×#123C2314yes—
340C2×#123C2314yes—
341C2×#123C2314yes—
342C2×#123C2314yes—
343C2×#123C2312yes—
344C2×#123C2314yes—
345C2×#123C2314yes—
346C2×#123C2312yes—
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2311yescharacteristic
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2311yescharacteristic
356C2×C22⋊Q8C2312yes—
357C2×C22⋊Q8C2312yes—
358C2×C22⋊Q8C2314yes—
359C2×C22⋊Q8C2314yes—
360C2×C22⋊Q8C2311yescharacteristic
361C2×C22⋊Q8C2314yes—
362C2×#121C2311yescharacteristic
363C2×#121C2312yes—
364C2×#121C2311yescharacteristic
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2311yescharacteristic
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2312yes—
371C2×#121C2314yes—
372C2×#121C2311yescharacteristic
373C2×#121C2312yes—
374C2×#121C2311yescharacteristic
375C2×#121C2312yes—
376C2×#121C2314yes—
377C2×#121C2314yes—
378C2×#121C2314yes—
379C2×#120C2314yes—
380C2×#120C2314yes—
381C2×#120C2312yes—
382C4×#41—44no—
383C2×C4×Q8C2312yes—
384C2×C4×Q8C2311yescharacteristic
385C2×C4×Q8C2311yescharacteristic
386C2×C4×Q8C2312yes—
387C2×C4×Q8C2312yes—
388C2×C4×Q8C2312yes—
389C2×C4×Q8C2311yescharacteristic
390C2×C4×Q8C2312yes—
391C2×C4×D4—44no—
392C2×C4×D4C2312yes—
393C2×C4×D4C2311yescharacteristic
394C2×C4×D4C2311yescharacteristic
395C2×C4×D4C2311yescharacteristic
396C2×C4×D4C2311yescharacteristic
397C2×C4×D4C2311yescharacteristic
398C2×C4×D4C2312yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2311yescharacteristic
401C2×C4×D4C2312yes—
402C2×C4×D4C2311yescharacteristic
403C2×C4×D4C2314yes—
404C2×C4×D4C2311yescharacteristic
405C2×C4×D4C2312yes—
406C2×C4×D4C2312yes—
407C2×C4×D4C2312yes—
408C2×C4×D4C2312yes—
409C2×C4×D4C2314yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2311yescharacteristic
412C2×C4×D4C2311yescharacteristic
413C2×C4×D4C2312yes—
414C2×#117C2312yes—
415C2×#117C2314yes—
416C2×#117C2312yes—
417C2×#117C2312yes—
418C2×#117C2312yes—
419C2×#117C2312yes—
420C2×#117C2312yes—
421C2×#117C2311yescharacteristic
422C22×C4⋊C4C2312yes—
423C22×C4⋊C4C2312yes—
424C22×C4⋊C4C2312yes—
425C22×C4⋊C4C2311yescharacteristic
426C22×C22⋊C4C2314yes—
427C22×C22⋊C4C2312yes—
428C22×C42C2311yescharacteristic
429C22×C42C2311yescharacteristic
430C22×C42C2312yes—
431#400C2314yes—
432#400C2314yes—
433#400C2314yes—
434#400C2314yes—
435#400C2314yes—
436#400C2314yes—
437#400C2314yes—
438#400C2314yes—
439#400C2312yes—
440#400C2314yes—
441#400C2314yes—
442#400C2314yes—
443#400C2314yes—
444#399C2314yes—
445#399C2312yes—
446#399C2314yes—
447#399C2314yes—
448#399C2314yes—
449#399C2314yes—
450#399C2314yes—
451#399C2314yes—
452#399C2314yes—
453#399C2314yes—
454#399C2314yes—
455#398C2314yes—
456#398C2314yes—
457#398C2314yes—
458#398C2314yes—
459#398C2314yes—
460#398C2312yes—
461#398C2314yes—
462#398C2312yes—
463#398C2314yes—
464#398C2314yes—
465#398C2314yes—
466#398C2312yes—
467#398C2314yes—
468#398C2314yes—
469#398C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2312yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#397C2314yes—
477#397C2312yes—
478#397C2314yes—
479#397C2314yes—
480#397C2314yes—
481#397C2312yes—
482#397C2312yes—
483#397C2312yes—
484#397C2314yes—
485#396C2314yes—
486#396C2314yes—
487#396C2312yes—
488#396C2314yes—
489#396C2314yes—
490#396C2314yes—
491#396C2314yes—
492#396C2314yes—
493#396C2314yes—
494#396C2314yes—
495#396C2314yes—
496#396C2314yes—
497#396C2312yes—
498#396C2314yes—
499#396C2314yes—
500#396C2314yes—
501#396C2314yes—
502#396C2312yes—
503#396C2314yes—
504#396C2312yes—
505#396C2314yes—
506#396C2314yes—
507#396C2314yes—
508#396C2314yes—
509#396C2314yes—
510#395C2314yes—
511#395C2314yes—
512#395C2314yes—
513#395C2314yes—
514#395C2312yes—
515#394C2314yes—
516#394C2314yes—
517#394C2312yes—
518#394C2314yes—
519#394C2314yes—
520#394C2312yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2312yes—
528#394C2312yes—
529#394C2312yes—
530#394C2314yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#394C2312yes—
536#394C2314yes—
537#394C2314yes—
538#394C2312yes—
539#394C2312yes—
540#394C2314yes—
541#394C2312yes—
542#394C2312yes—
543#394C2312yes—
544#394C2314yes—
545#394C2314yes—
546#394C2314yes—
547#394C2314yes—
548#393C2314yes—
549#393C2314yes—
550#393C2314yes—
551#393C2314yes—
552#393C2312yes—
553#393C2314yes—
554#392C2314yes—
555#392C2314yes—
556#392C2314yes—
557#392C2314yes—
558#392C2312yes—
559#392C2312yes—
560#392C2312yes—
561#392C2312yes—
562#392C2314yes—
563#392C2312yes—
564#392C2314yes—
565#391C2312yes—
566#391C2314yes—
567#391C2311yescharacteristic
568#391C2312yes—
569#391C2312yes—
570#391C2311yescharacteristic
571#391C2312yes—
572#391C2311yescharacteristic
573#391C2314yes—
574#391C2312yes—
575#391C2312yes—
576#391C2311yescharacteristic
577#390C2314yes—
578#390C2311yescharacteristic
579#390C2312yes—
580#390C2314yes—
581#390C2311yescharacteristic
582#390C2314yes—
583#390C2314yes—
584#390C2312yes—
585#390C2312yes—
586#390C2312yes—
587#390C2314yes—
588#390C2314yes—
589#390C2311yescharacteristic
590#390C2314yes—
591#390C2311yescharacteristic
592#390C2311yescharacteristic
593#390C2312yes—
594#390C2314yes—
595#390C2312yes—
596#390C2314yes—
597#390C2314yes—
598#390C2311yescharacteristic
599#390C2311yescharacteristic
600#390C2312yes—
601#390C2311yescharacteristic
602#389C2312yes—
603#389C2312yes—
604#389C2312yes—
605#389C2314yes—
606#389C2312yes—
607#389C2314yes—
608#389C2314yes—
609#389C2314yes—
610#389C2314yes—
611#389C2314yes—
612#389C2314yes—
613#389C2314yes—
614#389C2312yes—
615#389C2314yes—
616#389C2312yes—
617#389C2312yes—
618#389C2312yes—
619#389C2312yes—
620#389C2312yes—
621#389C2312yes—
622#389C2314yes—
623#389C2312yes—
624#389C2312yes—
625#389C2314yes—
626#389C2312yes—
627#389C2311yescharacteristic
628#389C2311yescharacteristic
629#389C2311yescharacteristic
630#389C2311yescharacteristic
631#389C2311yescharacteristic
632#389C2311yescharacteristic
633#389C2311yescharacteristic
634#389C2311yescharacteristic
635#389C2312yes—
636#389C2312yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2312yes—
646#388C2312yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2312yes—
651#388C2314yes—
652#388C2312yes—
653#388C2314yes—
654#388C2314yes—
655#388C2312yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2312yes—
661#388C2312yes—
662#388C2314yes—
663#388C2312yes—
664#388C2312yes—
665#388C2312yes—
666#388C2312yes—
667#388C2312yes—
668#387C2312yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2312yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2312yes—
679#387C2314yes—
680#387C2314yes—
681#387C2314yes—
682#387C2314yes—
683#387C2312yes—
684#386C2312yes—
685#386C2314yes—
686#386C2312yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2312yes—
695#386C2312yes—
696#386C2312yes—
697#386C2312yes—
698#386C2312yes—
699#386C2312yes—
700#386C2312yes—
701#386C2314yes—
702#386C2312yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2312yes—
711#385C2312yes—
712#385C2314yes—
713#385C2312yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2312yes—
718#385C2312yes—
719#385C2312yes—
720#384C2311yescharacteristic
721#384C2312yes—
722#384C2314yes—
723#384C2312yes—
724#384C2311yescharacteristic
725#384C2311yescharacteristic
726#384C2312yes—
727#384C2312yes—
728#384C2312yes—
729#384C2312yes—
730#384C2312yes—
731#382C2314yes—
732#382C2312yes—
733#382C2312yes—
734#382C2311yescharacteristic
735#382C2311yescharacteristic
736#381C2314yes—
737#381C2314yes—
738#381C2312yes—
739#381C2312yes—
740#381C2312yes—
741#380C2311yescharacteristic
742#380C2312yes—
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2312yes—
748#380C2312yes—
749#380C2312yes—
750#380C2312yes—
751#380C2312yes—
752#380C2312yes—
753#380C2312yes—
754#380C2314yes—
755#380C2314yes—
756#380C2314yes—
757#380C2312yes—
758#380C2312yes—
759#380C2314yes—
760#380C2312yes—
761#380C2312yes—
762#380C2314yes—
763#380C2314yes—
764#380C2312yes—
765#380C2312yes—
766#380C2311yescharacteristic
767#380C2312yes—
768#380C2312yes—
769#380C2312yes—
770#380C2312yes—
771#380C2311yescharacteristic
772#380C2311yescharacteristic
773#380C2312yes—
774#380C2314yes—
775#380C2312yes—
776#380C2312yes—
777#380C2312yes—
778#379C2312yes—
779#379C2314yes—
780#379C2312yes—
781#379C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2314yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2314yes—
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2312yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2311yescharacteristic
817C4×C22⋊C4C2311yescharacteristic
818C4×C22⋊C4C2311yescharacteristic
819C4×C22⋊C4C2311yescharacteristic
820C2×#95C2314yes—
821C43C2311yescharacteristic
822C25C2412yes—
823C2×#41—24no—
824C2×#41—28no—
825C2×#41—24no—
826C2×#41—44no—
827C2×#41—44no—
828C2×#41—44no—
829C2×#41—42no—
830C2×#41—44no—
831C2×#41—44no—
832C22×Q8C2411yescharacteristic
833C22×Q8C2412yes—
834C22×Q8C2411yescharacteristic
835C22×Q8C2414yes—
836C22×Q8C2412yes—
837C22×D4—24no—
838C22×D4—42no—
839C22×D4—42no—
840C22×D4C2411yescharacteristic
841C22×D4C2411yescharacteristic
842C22×D4C2411yescharacteristic
843C22×D4C2411yescharacteristic
844C22×D4C2412yes—
845C22×D4C2411yescharacteristic
846C22×D4C2412yes—
847C22×D4C2412yes—
848C22×D4C2412yes—
849C22×D4C2414yes—
850C22×D4C2414yes—
851C22×D4C2414yes—
852C22×D4C2412yes—
853C22×D4C2412yes—
854C22×D4C2414yes—
855C22×D4C2412yes—
856C22×D4C2412yes—
857C22×D4C2412yes—
858C23×C4—28no—
859C23×C4—44no—
860C23×C4—44no—
861C23×C4C2412yes—
862C23×C4C2411yescharacteristic
863C23×C4C2412yes—
864C23×C4C2411yescharacteristic
865C23×C4C2412yes—
866C23×C4C2412yes—
867C23×C4C2411yescharacteristic
868C23×C4C2412yes—
869C23×C4C2411yescharacteristic
870C23×C4C2411yescharacteristic
871C23×C4C2414yes—
872C23×C4C2414yes—
873C23×C4C2412yes—
874C23×C4C2412yes—
875C23×C4C2412yes—
876C23×C4C2411yescharacteristic
877C23×C4C2414yes—
878C23×C4C2412yes—
879C4⋊Q8—24no—
880C4⋊Q8—44no—
881C4⋊Q8—42no—
882C4⋊Q8—44no—
883C4⋊Q8—44no—
884C4⋊Q8—44no—
885#127—42no—
886#126—44no—
887#126—48no—
888#126—48no—
889#126—48no—
890#125—42no—
891#125—44no—
892#125—44no—
893#125—48no—
894#125—48no—
895#124—24no—
896#124—24no—
897#124—44no—
898#124—48no—
899#124—42no—
900#124—44no—
901#124—48no—
902#123—48no—
903#123—48no—
904#123—44no—
905#123—48no—
906#123—48no—
907#123—48no—
908#123—44no—
909#123—48no—
910#123—48no—
911#123—48no—
912C22⋊Q8—28no—
913C22⋊Q8—28no—
914C22⋊Q8—24no—
915C22⋊Q8—48no—
916C22⋊Q8—48no—
917C22⋊Q8—48no—
918C22⋊Q8—44no—
919C22⋊Q8—42no—
920C22⋊Q8—44no—
921C22⋊Q8—42no—
922C22⋊Q8—44no—
923C22⋊Q8—44no—
924C22⋊Q8—44no—
925C22⋊Q8—44no—
926C22⋊Q8—44no—
927#121—24no—
928#121—28no—
929#121—24no—
930#121—44no—
931#121—48no—
932#121—48no—
933#121—44no—
934#121—44no—
935#121—44no—
936#121—42no—
937#121—42no—
938#121—42no—
939#121—44no—
940#121—44no—
941#121—44no—
942#121—48no—
943#121—48no—
944#120—44no—
945#120—48no—
946#120—48no—
947C4×Q8—28no—
948C4×Q8—24no—
949C4×Q8—24no—
950C4×Q8—44no—
951C4×Q8—42no—
952C4×Q8—44no—
953C4×Q8—44no—
954C4×Q8—44no—
955C4×D4—28no—
956C4×D4—24no—
957C4×D4—24no—
958C4×D4—24no—
959C4×D4—24no—
960C4×D4—24no—
961C4×D4—44no—
962C4×D4—42no—
963C4×D4—42no—
964C4×D4—42no—
965C4×D4—42no—
966C4×D4—44no—
967C4×D4—44no—
968C4×D4—42no—
969C4×D4—44no—
970C4×D4—44no—
971C4×D4—44no—
972C4×D4—44no—
973C4×D4—44no—
974C4×D4—44no—
975C4×D4—48no—
976C4×D4—48no—
977#117—44no—
978#117—44no—
979#117—44no—
980#117—44no—
981#117—48no—
982#117—42no—
983#117—44no—
984#117—44no—
985C2×C4⋊C4—42no—
986C2×C4⋊C4—44no—
987C2×C4⋊C4—44no—
988C2×C4⋊C4—44no—
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2411yescharacteristic
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2414yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2414yes—
1056C2×C22⋊C4—44no—
1057C2×C22⋊C4—48no—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2411yescharacteristic
1066C2×C22⋊C4C2411yescharacteristic
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2414yes—
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⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2411yescharacteristic
1106C2×C22⋊C4C2411yescharacteristic
1107C2×C22⋊C4C2411yescharacteristic
1108C2×C22⋊C4C2411yescharacteristic
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2414yes—
1131C2×C42—24no—
1132C2×C42—24no—
1133C2×C42—44no—
1134C2×C42C2411yescharacteristic
1135C2×C42C2411yescharacteristic
1136C2×C42C2411yescharacteristic
1137C2×C42C2411yescharacteristic
1138C2×C42C2412yes—
1139C2×C42C2412yes—
1140C2×C42C2412yes—
1141C2×C42C2414yes—
1142C2×C42C2411yescharacteristic
1143C2×C42C2411yescharacteristic
1144C2×C42C2411yescharacteristic
1145C2×C42C2412yes—
1146C2×C42C2411yescharacteristic
1147C2×C42C2411yescharacteristic
1148C2×C42C2411yescharacteristic
1149C2×C42C2411yescharacteristic
1150C2×C42C2414yes—
1151C2×C42C2412yes—
1152C2×C42C2414yes—
1153C2×C42C2412yes—
1154C2×C42C2414yes—
1155C2×C42C2414yes—
1156C2×C42C2414yes—
1157C2×C42C2411yescharacteristic
1158C2×C42C2411yescharacteristic
1159#95C2412yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2411yescharacteristic
1167#95C2411yescharacteristic
1168#95C2411yescharacteristic
1169#95C2411yescharacteristic
1170#95C2411yescharacteristic
1171#95C2411yescharacteristic
1172#95C2414yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2412yes—
1178#95C2414yes—
1179#95C2412yes—
1180#95C2414yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2414yes—
1193#95C2412yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2412yes—
1197#95C2414yes—
1198#95C2412yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2414yes—
1202#95C2412yes—
1203#95C2414yes—
1204#95C2414yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2414yes—
1209#95C2414yes—
1210#95C2414yes—
1211#95C2414yes—
1212#95C2414yes—
1213#95C2414yes—
1214#95C2414yes—
1215C24—24no—
1216C24—24no—
1217C24—42no—
1218C24—42no—
1219C24—42no—
1220C24—42no—
1221C24—42no—
1222C24C2512yes—
1223C24C2511yescharacteristic
1224C24C2512yes—
1225C24C2512yes—
1226C24C2512yes—
1227C24C2511yescharacteristic
1228#41—416no—
1229#41—816no—
1230#41—816no—
1231C2×Q8—22no—
1232C2×Q8—22no—
1233C2×Q8—22no—
1234C2×Q8—24no—
1235C2×Q8—24no—
1236C2×Q8—22no—
1237C2×Q8—24no—
1238C2×Q8—22no—
1239C2×Q8—42no—
1240C2×Q8—42no—
1241C2×Q8—42no—
1242C2×Q8—44no—
1243C2×Q8—44no—
1244C2×Q8—44no—
1245C2×Q8H(5,𝔽2)14yes—
1246C2×D4—24no—
1247C2×D4—22no—
1248C2×D4—24no—
1249C2×D4—28no—
1250C2×D4—24no—
1251C2×D4—28no—
1252C2×D4—24no—
1253C2×D4—22no—
1254C2×D4—22no—
1255C2×D4—22no—
1256C2×D4—22no—
1257C2×D4—22no—
1258C2×D4—24no—
1259C2×D4—22no—
1260C2×D4—22no—
1261C2×D4—22no—
1262C2×D4—22no—
1263C2×D4—22no—
1264C2×D4—22no—
1265C2×D4—22no—
1266C2×D4—42no—
1267C2×D4—42no—
1268C2×D4—41no—
1269C2×D4—42no—
1270C2×D4—42no—
1271C2×D4—44no—
1272C2×D4—44no—
1273C2×D4—42no—
1274C2×D4—42no—
1275C2×D4—42no—
1276C2×D4—42no—
1277C2×D4—42no—
1278C2×D4—42no—
1279C2×D4—42no—
1280C2×D4—42no—
1281C2×D4—42no—
1282C2×D4—42no—
1283C2×D4—44no—
1284C2×D4—44no—
1285C2×D4—42no—
1286C2×D4—44no—
1287C2×D4—42no—
1288C2×D4—42no—
1289C2×D4—42no—
1290C2×D4—44no—
1291C2×D4—42no—
1292C2×D4—44no—
1293C2×D4—42no—
1294C2×D4—42no—
1295C2×D4—42no—
1296C2×D4—44no—
1297C2×D4—44no—
1298C2×D4—44no—
1299C2×D4—416no—
1300C2×D4H(5,𝔽2)14yes—
1301C22×C4—22no—
1302C22×C4—22no—
1303C22×C4—28no—
1304C22×C4—28no—
1305C22×C4—24no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—24no—
1310C22×C4—24no—
1311C22×C4—24no—
1312C22×C4—24no—
1313C22×C4—22no—
1314C22×C4—24no—
1315C22×C4—24no—
1316C22×C4—24no—
1317C22×C4—24no—
1318C22×C4—24no—
1319C22×C4—22no—
1320C22×C4—22no—
1321C22×C4—22no—
1322C22×C4—24no—
1323C22×C4—24no—
1324C22×C4—24no—
1325C22×C4—22no—
1326C22×C4—22no—
1327C22×C4—24no—
1328C22×C4—24no—
1329C22×C4—22no—
1330C22×C4—22no—
1331C22×C4—24no—
1332C22×C4—24no—
1333C22×C4—42no—
1334C22×C4—42no—
1335C22×C4—42no—
1336C22×C4—44no—
1337C22×C4—44no—
1338C22×C4—42no—
1339C22×C4—42no—
1340C22×C4—42no—
1341C22×C4—42no—
1342C22×C4—41no—
1343C22×C4—41no—
1344C22×C4—42no—
1345C22×C4—42no—
1346C22×C4—44no—
1347C22×C4—41no—
1348C22×C4—41no—
1349C22×C4—42no—
1350C22×C4—44no—
1351C22×C4—44no—
1352C22×C4—44no—
1353C22×C4—44no—
1354C22×C4—816no—
1355C22×C42−1+414yes—
1356C22×C4C2511yescharacteristic
1357C22×C4C2512yes—
1358C22×C4C2511yescharacteristic
1359C22×C4C2511yescharacteristic
1360C22×C4C2511yescharacteristic
1361C22×C4C2512yes—
1362C22×C4C2512yes—
1363C22×C4C2512yes—
1364C22×C4C2511yescharacteristic
1365C22×C4C2512yes—
1366C22×C4C2514yes—
1367C22×C4C2512yes—
1368C22×C4C2511yescharacteristic
1369C22×C4C2512yes—
1370C22×C4C2511yescharacteristic
1371C22×C4C2514yes—
1372C22×C4C2512yes—
1373C22×C4C2514yes—
1374C22×C4C2514yes—
1375C22×C4C2511yescharacteristic
1376C22×C4C2512yes—
1377C22×C4C2512yes—
1378C22×C4C2512yes—
1379C22×C4C2512yes—
1380C22×C4C2511yescharacteristic
1381C22×C4C2511yescharacteristic
1382C22×C4C2511yescharacteristic
1383C22×C4C2511yescharacteristic
1384C22×C4C2511yescharacteristic
1385C4⋊C4—22no—
1386C4⋊C4—22no—
1387C4⋊C4—22no—
1388C4⋊C4—24no—
1389C4⋊C4—22no—
1390C4⋊C4—22no—
1391C4⋊C4—24no—
1392C4⋊C4—24no—
1393C4⋊C4—24no—
1394C4⋊C4—24no—
1395C4⋊C4—22no—
1396C4⋊C4—24no—
1397C4⋊C4—22no—
1398C4⋊C4—24no—
1399C4⋊C4—24no—
1400C4⋊C4—28no—
1401C4⋊C4—28no—
1402C4⋊C4—22no—
1403C4⋊C4—28no—
1404C4⋊C4—24no—
1405C4⋊C4—24no—
1406C4⋊C4—22no—
1407C4⋊C4—22no—
1408C4⋊C4—22no—
1409C4⋊C4—24no—
1410C4⋊C4—22no—
1411C4⋊C4—28no—
1412C4⋊C4—42no—
1413C4⋊C4—44no—
1414C4⋊C4—44no—
1415C4⋊C4—44no—
1416C4⋊C4—42no—
1417C4⋊C4—42no—
1418C4⋊C4—44no—
1419C4⋊C4—42no—
1420C4⋊C4—42no—
1421C4⋊C4—42no—
1422C4⋊C4—42no—
1423C4⋊C4—42no—
1424C4⋊C4—44no—
1425C4⋊C4—42no—
1426C4⋊C4—42no—
1427C4⋊C4—41no—
1428C4⋊C4—42no—
1429C4⋊C4—42no—
1430C4⋊C4—42no—
1431C4⋊C4—42no—
1432C4⋊C4—44no—
1433C4⋊C4—44no—
1434C4⋊C4—44no—
1435C4⋊C4—44no—
1436C4⋊C4—44no—
1437C4⋊C4—44no—
1438C4⋊C4—44no—
1439C4⋊C4—44no—
1440C4⋊C4—44no—
1441C4⋊C4—42no—
1442C4⋊C4—44no—
1443C4⋊C4—44no—
1444C4⋊C4—42no—
1445C4⋊C4—44no—
1446C4⋊C4—44no—
1447C4⋊C4—44no—
1448C4⋊C4—44no—
1449C4⋊C4—44no—
1450C4⋊C4—42no—
1451C4⋊C4—42no—
1452C22⋊C4—28no—
1453C22⋊C4—24no—
1454C22⋊C4—28no—
1455C22⋊C4—24no—
1456C22⋊C4—24no—
1457C22⋊C4—22no—
1458C22⋊C4—24no—
1459C22⋊C4—24no—
1460C22⋊C4—24no—
1461C22⋊C4—28no—
1462C22⋊C4—24no—
1463C22⋊C4—28no—
1464C22⋊C4—24no—
1465C22⋊C4—24no—
1466C22⋊C4—24no—
1467C22⋊C4—22no—
1468C22⋊C4—24no—
1469C22⋊C4—24no—
1470C22⋊C4—24no—
1471C22⋊C4—24no—
1472C22⋊C4—24no—
1473C22⋊C4—42no—
1474C22⋊C4—42no—
1475C22⋊C4—42no—
1476C22⋊C4—44no—
1477C22⋊C4—44no—
1478C22⋊C4—44no—
1479C22⋊C4—42no—
1480C22⋊C4—42no—
1481C22⋊C4—42no—
1482C22⋊C4—42no—
1483C22⋊C4—44no—
1484C22⋊C4—42no—
1485C22⋊C4—44no—
1486C22⋊C4—42no—
1487C22⋊C4—42no—
1488C22⋊C4—42no—
1489C22⋊C4—42no—
1490C22⋊C4—44no—
1491C22⋊C4—42no—
1492C22⋊C4—42no—
1493C22⋊C4—42no—
1494C22⋊C4—42no—
1495C22⋊C4—44no—
1496C22⋊C4—42no—
1497C22⋊C4—42no—
1498C22⋊C4—41no—
1499C22⋊C4—41no—
1500C22⋊C4—41no—
1501C22⋊C4—41no—
1502C22⋊C4—42no—
1503C22⋊C4—44no—
1504C22⋊C4—44no—
1505C22⋊C4—42no—
1506C22⋊C4—42no—
1507C22⋊C4—42no—
1508C22⋊C4—44no—
1509C22⋊C4—42no—
1510C22⋊C4—42no—
1511C22⋊C4—42no—
1512C22⋊C4—44no—
1513C22⋊C4—44no—
1514C22⋊C4—44no—
1515C22⋊C4—44no—
1516C22⋊C4—44no—
1517C22⋊C4—44no—
1518C22⋊C4—44no—
1519C22⋊C4—44no—
1520C22⋊C4—42no—
1521C22⋊C4—44no—
1522C22⋊C4—44no—
1523C22⋊C4—44no—
1524C22⋊C4—42no—
1525C42—22no—
1526C42—22no—
1527C42—22no—
1528C42—22no—
1529C42—22no—
1530C42—22no—
1531C42—24no—
1532C42—22no—
1533C42—22no—
1534C42—24no—
1535C42—24no—
1536C42—24no—
1537C42—28no—
1538C42—22no—
1539C42—22no—
1540C42—22no—
1541C42—42no—
1542C42—42no—
1543C42—41no—
1544C42—44no—
1545C42—44no—
1546C42—44no—
1547C42—44no—
1548C42—44no—
1549C42H(5,𝔽2)14yes—
1550C23—22no—
1551C23—22no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—22no—
1556C23—22no—
1557C23—21no—
1558C23—21no—
1559C23—22no—
1560C23—22no—
1561C23—21no—
1562C23—21no—
1563C23—22no—
1564C23—22no—
1565C23—22no—
1566C23—22no—
1567C23—22no—
1568C23—22no—
1569C23—22no—
1570C23—22no—
1571C23—21no—
1572C23—21no—
1573C23—22no—
1574C23—21no—
1575C23—22no—
1576C23—22no—
1577C23—22no—
1578C23—22no—
1579C23—22no—
1580C23—22no—
1581C23—22no—
1582C23—22no—
1583C23—22no—
1584C23—21no—
1585C23—21no—
1586C23—22no—
1587C23—21no—
1588C23—22no—
1589C23—22no—
1590C23—48no—
1591C23—48no—
1592C23—84no—
1593C23—84no—
1594C23—84no—
1595C23—84no—
1596C23—84no—
1597C23C2×H(5,𝔽2)14yes—
1598C23C2×2−1+412yes—
1599C23C2611yescharacteristic
1600Q8—28no—
1601Q8—44no—
1602Q8—48no—
1603Q8—84no—
1604Q8—164no—
1605D4—28no—
1606D4—44no—
1607D4—48no—
1608D4—48no—
1609D4—44no—
1610D4—44no—
1611D4—44no—
1612D4—84no—
1613D4—88no—
1614D4—84no—
1615D4—88no—
1616D4—88no—
1617D4—84no—
1618D4—84no—
1619D4—84no—
1620D4—84no—
1621D4—84no—
1622D4—164no—
1623C2×C4—21no—
1624C2×C4—22no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—22no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—28no—
1632C2×C4—22no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—22no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—24no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—21no—
1650C2×C4—22no—
1651C2×C4—24no—
1652C2×C4—22no—
1653C2×C4—24no—
1654C2×C4—24no—
1655C2×C4—24no—
1656C2×C4—22no—
1657C2×C4—21no—
1658C2×C4—22no—
1659C2×C4—24no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—24no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—24no—
1677C2×C4—24no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—22no—
1681C2×C4—22no—
1682C2×C4—22no—
1683C2×C4—21no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—21no—
1687C2×C4—24no—
1688C2×C4—24no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—22no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—22no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—22no—
1698C2×C4—24no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—48no—
1702C2×C4—44no—
1703C2×C4—48no—
1704C2×C4—48no—
1705C2×C4—44no—
1706C2×C4—48no—
1707C2×C4—48no—
1708C2×C4—44no—
1709C2×C4—82no—
1710C2×C4—82no—
1711C2×C4—84no—
1712C2×C4—84no—
1713C2×C4—88no—
1714C2×C4—84no—
1715C2×C4—88no—
1716C2×C4—84no—
1717C2×C4—164no—
1718C2×C4C2×H(5,𝔽2)12yes—
1719C2×C4C2×H(5,𝔽2)14yes—
1720C2×C4C2×H(5,𝔽2)12yes—
1721C2×C4C2×H(5,𝔽2)12yes—
1722C2×C4C2×H(5,𝔽2)12yes—
1723C2×C4C2×H(5,𝔽2)12yes—
1724C2×C4C2×2−1+412yes—
1725C2×C4C2×2−1+412yes—
1726C2×C4#58512yes—
1727C2×C4#58512yes—
1728C22—22no—
1729C22—22no—
1730C22—24no—
1731C22—22no—
1732C22—24no—
1733C22—24no—
1734C22—42no—
1735C22—42no—
1736C22—41no—
1737C22—42no—
1738C22—41no—
1739C22—41no—
1740C22—42no—
1741C22—41no—
1742C22—42no—
1743C22—42no—
1744C22—41no—
1745C22—42no—
1746C22—41no—
1747C22—42no—
1748C22—42no—
1749C22—42no—
1750C22—42no—
1751C22—41no—
1752C22—42no—
1753C22—42no—
1754C22—42no—
1755C22—42no—
1756C22—41no—
1757C22—42no—
1758C22—42no—
1759C22—42no—
1760C22—41no—
1761C22—42no—
1762C22—41no—
1763C22—42no—
1764C22—42no—
1765C22—42no—
1766C22—42no—
1767C22—41no—
1768C22—42no—
1769C22—42no—
1770C22—816no—
1771C22C22×H(5,𝔽2)11yescharacteristic
1772C22C22×H(5,𝔽2)11yescharacteristic
1773C22C22×H(5,𝔽2)11yescharacteristic
1774C22C22×2−1+411yescharacteristic
1775C22C2×#58511yescharacteristic
1776C22C2×#58511yescharacteristic
1777C222−1+611yescharacteristic
1778C4—22no—
1779C4—24no—
1780C4—22no—
1781C4—22no—
1782C4—41no—
1783C4—42no—
1784C4—42no—
1785C4—42no—
1786C4—44no—
1787C4—42no—
1788C4—44no—
1789C4—41no—
1790C4—41no—
1791C4—42no—
1792C4—42no—
1793C4—41no—
1794C4—44no—
1795C4—42no—
1796C4—41no—
1797C4—41no—
1798C4—42no—
1799C4—42no—
1800C4—41no—
1801C4—41no—
1802C4—42no—
1803C4—44no—
1804C4—42no—
1805C4#353614yes—
1806C4#354214yes—
1807C2—44no—
1808C2—42no—
1809C2—82no—
1810C2—81no—
1811C2—82no—
1812C2—82no—
1813C2C2×#354211yescharacteristic
1814C2C2×#353611yescharacteristic
1815C2#6275211yescharacteristic
1816C2#6291511yescharacteristic
1817C2#6292211yescharacteristic
1818C2#6296011yescharacteristic
1819C2#6301411yescharacteristic
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. #59418C2semidirect
2. #59377C2semidirect
3. #59258C2semidirect
4. #59214C2semidirect
5. #59022C2semidirect
6. #56360C2semidirect
7. #55932C2semidirect
8. #53135C2semidirect
9. #53007C2semidirect
10. #52982C2semidirect
11. #52976C2semidirect
12. #52499C2semidirect
13. #42988C2semidirect
14. #42836C2semidirect
15. #42798C2semidirect
16. #42443C2semidirect
17. #41251C2semidirect
18. #40103C2semidirect
19. #39909C2semidirect
20. #39432C2semidirect
21. #39377C2semidirect
22. #39377C2semidirect
23. #39340C2semidirect
24. #39127C2semidirect
25. #37669C2semidirect
26. #37627C2semidirect
27. #37621C2semidirect
28. #37516C2semidirect
29. #37476C2semidirect
30. #36445C2semidirect
31. #36194C2semidirect
32. #36153C2semidirect
33. #34935C2semidirect
34. #34715C2semidirect
35. #34700C2semidirect
36. C2×#557C22semidirect
37. C2×#552C22semidirect
41. C2×#542C22semidirect
43. C2×#532C22semidirect
48. #2868C22semidirect
50. #2857C22semidirect
51. #2857C22semidirect
55. #2839C22semidirect
56. #2837C22semidirect
57. #2837C22semidirect
58. #2837C22semidirect
59. #2831C22semidirect
60. #2827C22semidirect
61. #2826C22semidirect
62. #2824C22semidirect
63. #2823C22semidirect
66. #2813C22semidirect
67. #2792C22semidirect
69. #2773C22semidirect
72. #2743C22semidirect
73. #2740C22semidirect
74. #2725C22semidirect
76. #2718C22semidirect
77. #2718C22semidirect
79. #2708C22semidirect
80. #2707C22semidirect
81. #2707C22semidirect
82. #2707C22semidirect
83. #2706C22semidirect
84. #2706C22semidirect
87. #2704C22semidirect
89. #2695C22semidirect
91. #2689C22semidirect
92. #2686C22semidirect
96. #2681C22semidirect
99. #2674C22semidirect
100. #2674C22semidirect
101. #2672C22semidirect
102. #2671C22semidirect
104. #2667C22semidirect
105. #2665C22semidirect
107. #2662C22semidirect
108. #2662C22semidirect
109. #2651C22semidirect
110. #2650C22semidirect
111. #2648C22semidirect
112. #2629C22semidirect
113. #2629C22semidirect
114. #2628C22semidirect
115. #2628C22semidirect
116. #2628C22semidirect
119. #2625C22semidirect
120. #2624C22semidirect
123. #2619C22semidirect
124. #2616C22semidirect
125. #2616C22semidirect
127. #2601C22semidirect
128. #2597C22semidirect
129. #2587C22semidirect
130. #2575C22semidirect
131. #2571C22semidirect
132. #2569C22semidirect
133. #2566C22semidirect
135. #2562C22semidirect
136. #2562C22semidirect
137. #2559C22semidirect
138. #2558C22semidirect
139. #2552C22semidirect
140. #2549C22semidirect
144. #2542C22semidirect
152. #2538C22semidirect
153. #2538C22semidirect
154. #2538C22semidirect
158. #2537C22semidirect
162. #2509C22semidirect
163. #2506C22semidirect
165. #2501C22semidirect
167. #2497C22semidirect
168. #2497C22semidirect
169. #2497C22semidirect
170. #2496C22semidirect
171. #2496C22semidirect
172. #2496C22semidirect
174. #2492C22semidirect
176. #2491C22semidirect
177. #2490C22semidirect
178. #2490C22semidirect
182. #2485C22semidirect
184. #2476C22semidirect
185. #2475C22semidirect
186. #2474C22semidirect
188. #2467C22semidirect
189. #2467C22semidirect
191. #2459C22semidirect
193. #2457C22semidirect
197. #2454C22semidirect
198. #2454C22semidirect
199. #2453C22semidirect
200. #2451C22semidirect
202. #2445C22semidirect
204. #2442C22semidirect
205. #2442C22semidirect
208. #2441C22semidirect
209. #2440C22semidirect
210. #2440C22semidirect
211. #2440C22semidirect
214. #2439C22semidirect
218. #2429C22semidirect
219. #2429C22semidirect
220. #2428C22semidirect
223. #2427C22semidirect
226. #2426C22semidirect
227. #2426C22semidirect
229. #2425C22semidirect
230. #2423C22semidirect
231. #2423C22semidirect
232. #2423C22semidirect
235. #2422C22semidirect
236. #2421C22semidirect
237. #2421C22semidirect
239. #2420C22semidirect
243. #2417C22semidirect
245. #2416C22semidirect
247. #2414C22semidirect
248. #2414C22semidirect
260. #2369C22semidirect
262. #2360C22semidirect
263. #2360C22semidirect
264. #2359C22semidirect
265. #2355C22semidirect
268. Q8×C4⋊C4C22semidirect
269. Q8×C4⋊C4C22semidirect
270. Q8×C4⋊C4C22semidirect
272. D4×C4⋊C4C22semidirect
276. #2335C22semidirect
277. #2323C22semidirect
278. C4×C4⋊Q8C22semidirect
280. C4×#124C22semidirect
282. C4×C22⋊Q8C22semidirect
283. C4×C22⋊Q8C22semidirect
284. C4×#123C22semidirect
290. #2297C22semidirect
292. #2293C22semidirect
294. #2285C22semidirect

Maximal subgroups

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

subgroupindex
#594182
#593772
#592582
#592142
#590222
#563602
#559322
#531352
#530072
#529822
#529762
#524992
#429882
#428362
#427982
#424432
#412512
#401032
#399092
#394322
#393772
#393402
#391272
#376692
#376272
#376212
#375162
#374762
#364452
#361942
#361532
#349352
#347152
#347002