Finite Group Databasebeta

← #8424624

Subgroups — #8424624

Order 512.

5187 conjugacy classes of subgroups.

The subgroup lattice has 1778 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59437C211yesmaximal, characteristic, complemented
2#59199C212yesmaximal, complemented
3#59130C212yesmaximal, complemented
4#59127C211yesmaximal, characteristic, complemented
5#59125C211yesmaximal, characteristic, complemented
6#53611C214yesmaximal, complemented
7#53510C214yesmaximal, complemented
8#53041C212yesmaximal, complemented
9#53022C212yesmaximal, complemented
10#52968C212yesmaximal, complemented
11#52963C212yesmaximal, complemented
12#52470C214yesmaximal, complemented
13#42912C212yesmaximal, complemented
14#42758C212yesmaximal, complemented
15#42715C212yesmaximal, complemented
16#42458C212yesmaximal, complemented
17#40700C214yesmaximal, complemented
18#39615C212yesmaximal, complemented
19#39513C211yesmaximal, characteristic, complemented
20#39360C211yesmaximal, characteristic, complemented
21#39146C211yesmaximal, characteristic, complemented
22#39144C212yesmaximal, complemented
23#39124C211yesmaximal, characteristic, complemented
24#37852C212yesmaximal, complemented
25#37676C212yesmaximal, complemented
26#37627C211yesmaximal, characteristic, complemented
27#37617C211yesmaximal, characteristic, complemented
28#37495C212yesmaximal, complemented
29#37477C212yesmaximal, complemented
30#36599C211yesmaximal, characteristic, complemented
31#36153C211yesmaximal, characteristic, complemented
32D4×C4⋊Q8C211yesmaximal, characteristic, complemented
33C2×#2547C211yesmaximal, characteristic, complemented
34#34788C211yesmaximal, characteristic, complemented
35#34700C211yesmaximal, characteristic, complemented
36C2×D4×Q8C2212yes—
37C2×D4×Q8C2212yes—
38C2×D4×Q8C2211yescharacteristic, complemented
39C2×#548C2212yes—
40C2×#547C2211yescharacteristic
41C2×#546C2212yes—
42C2×#536C2212yes—
43C22×C4⋊Q8C2211yescharacteristic
44C22×C4⋊Q8C2211yescharacteristic, complemented
45C2×#529C2211yescharacteristic
46C22×#124C2212yes—
47C22×C4×D4C2211yescharacteristic
48#2868C2211yescharacteristic, complemented
49#2857C2211yescharacteristic
50#2857C2212yes—
51#2857C2211yescharacteristic, complemented
52#2847C2212yes—
53#2841C2214yescomplemented
54#2841C2214yescomplemented
55#2838C2214yescomplemented
56#2838C2214yescomplemented
57#2838C2214yescomplemented
58#2837C2214yescomplemented
59#2833C2214yescomplemented
60#2831C2214yescomplemented
61#2830C2214yescomplemented
62#2827C2214yescomplemented
63#2827C2214yescomplemented
64#2826C2214yescomplemented
65#2821C2214yescomplemented
66#2817C2214yescomplemented
67#2796C2214yescomplemented
68#2793C2214yescomplemented
69#2793C2214yescomplemented
70#2787C2214yescomplemented
71#2780C2214yescomplemented
72#2779C2214yescomplemented
73#2778C2214yescomplemented
74#2771C2214yescomplemented
75#2770C2214yescomplemented
76#2765C2214yescomplemented
77#2757C2214yescomplemented
78#2748C2214yescomplemented
79#2746C2214yescomplemented
80#2746C2214yescomplemented
81#2742C2214yescomplemented
82#2741C2214yescomplemented
83#2737C2214yescomplemented
84#2734C2214yescomplemented
85#2732C2214yescomplemented
86#2729C2214yescomplemented
87#2729C2214yescomplemented
88#2723C2214yescomplemented
89#2717C2214yescomplemented
90#2717C2214yescomplemented
91#2708C2214yescomplemented
92#2708C2214yescomplemented
93#2696C2214yescomplemented
94#2680C2214yescomplemented
95#2680C2214yescomplemented
96#2677C2214yescomplemented
97#2676C2214yes—
98#2674C2214yes—
99#2674C2214yes—
100#2674C2214yes—
101#2674C2214yescomplemented
102#2672C2214yes—
103#2672C2214yes—
104#2666C2214yescomplemented
105#2659C2214yes—
106#2659C2214yescomplemented
107#2658C2212yes—
108#2651C2214yescomplemented
109#2650C2214yescomplemented
110#2649C2214yescomplemented
111#2646C2214yes—
112#2646C2214yescomplemented
113#2645C2212yescomplemented
114#2643C2214yes—
115#2642C2212yescomplemented
116#2638C2214yescomplemented
117#2629C2212yescomplemented
118#2629C2212yescomplemented
119#2628C2212yescomplemented
120#2628C2212yescomplemented
121#2628C2212yescomplemented
122#2625C2212yescomplemented
123#2624C2212yescomplemented
124#2623C2214yescomplemented
125#2621C2212yescomplemented
126#2620C2212yes—
127#2585C2214yescomplemented
128#2577C2214yescomplemented
129#2569C2214yes—
130#2564C2214yes—
131#2564C2214yes—
132#2564C2214yescomplemented
133#2563C2212yescomplemented
134#2562C2212yescomplemented
135#2552C2211yescharacteristic, complemented
136#2551C2212yescomplemented
137#2551C2212yescomplemented
138#2551C2212yescomplemented
139#2547C2212yes—
140#2547C2214yes—
141#2547C2212yes—
142#2547C2212yes—
143#2547C2211yescharacteristic
144#2547C2211yescharacteristic
145#2547C2211yescharacteristic
146#2547C2212yes—
147#2547C2211yescharacteristic
148#2547C2212yes—
149#2547C2211yescharacteristic
150#2546C2212yescomplemented
151#2546C2211yescharacteristic, complemented
152#2546C2211yescharacteristic, complemented
153#2545C2212yes—
154#2545C2212yes—
155#2542C2211yescharacteristic, complemented
156#2540C2212yes—
157#2537C2211yescharacteristic
158#2535C2212yescomplemented
159#2525C2212yescomplemented
160#2516C2212yescomplemented
161#2514C2212yescomplemented
162#2513C2211yescharacteristic, complemented
163#2511C2212yescomplemented
164#2510C2214yes—
165#2510C2212yes—
166#2509C2212yescomplemented
167#2509C2211yescharacteristic, complemented
168#2505C2214yes—
169#2505C2214yescomplemented
170#2504C2211yescharacteristic
171#2497C2212yescomplemented
172#2497C2212yescomplemented
173#2497C2212yescomplemented
174#2495C2212yescomplemented
175#2494C2212yescomplemented
176#2494C2211yescharacteristic, complemented
177#2494C2212yescomplemented
178#2491C2214yes—
179#2491C2212yescomplemented
180#2490C2212yescomplemented
181#2490C2211yescharacteristic, complemented
182#2489C2212yescomplemented
183#2487C2211yescharacteristic
184#2487C2212yescomplemented
185#2487C2212yescomplemented
186#2487C2212yescomplemented
187#2486C2212yes—
188#2480C2212yes—
189#2472C2214yes—
190#2468C2212yes—
191#2461C2214yes—
192#2457C2212yes—
193#2454C2211yescharacteristic
194#2452C2212yescomplemented
195#2449C2214yes—
196#2447C2211yescharacteristic
197#2446C2212yescomplemented
198#2446C2212yescomplemented
199#2446C2212yescomplemented
200#2446C2212yescomplemented
201#2444C2212yes—
202#2443C2214yescomplemented
203#2442C2211yescharacteristic
204#2442C2212yes—
205#2442C2211yescharacteristic
206#2442C2212yescomplemented
207#2442C2212yescomplemented
208#2440C2212yes—
209#2440C2212yes—
210#2440C2212yes—
211#2440C2212yescomplemented
212#2440C2212yescomplemented
213#2440C2212yescomplemented
214#2440C2212yescomplemented
215#2440C2212yescomplemented
216#2437C2214yes—
217#2437C2214yes—
218#2437C2214yes—
219#2436C2212yes—
220#2436C2212yes—
221#2435C2211yescharacteristic
222#2434C2212yes—
223#2434C2212yescomplemented
224#2434C2212yescomplemented
225#2434C2212yescomplemented
226#2434C2212yescomplemented
227#2432C2212yes—
228#2432C2212yes—
229#2429C2212yescomplemented
230#2429C2212yescomplemented
231#2427C2212yes—
232#2427C2211yescharacteristic
233#2427C2212yes—
234#2426C2212yes—
235#2425C2214yes—
236#2424C2214yes—
237#2423C2212yescomplemented
238#2423C2212yescomplemented
239#2422C2212yescomplemented
240#2422C2212yescomplemented
241#2420C2211yescharacteristic
242#2418C2214yes—
243#2418C2214yes—
244#2418C2212yes—
245#2417C2212yes—
246#2417C2211yescharacteristic
247#2416C2212yes—
248#2416C2211yescharacteristic
249#2416C2212yescomplemented
250#2412C2214yes—
251#2409C2212yes—
252#2409C2212yescomplemented
253#2409C2212yescomplemented
254#2408C2211yescharacteristic
255#2401C2212yescomplemented
256#2395C2212yes—
257#2395C2212yescomplemented
258#2392C2212yes—
259C2×#397C2214yes—
260#2370C2212yescomplemented
261#2367C2212yes—
262#2365C2211yescharacteristic, complemented
263#2365C2211yescharacteristic, complemented
264#2361C2212yes—
265#2358C2214yes—
266#2355C2211yescharacteristic, complemented
267D4×C4⋊C4C2212yes—
268D4×C4⋊C4C2212yes—
269D4×C4⋊C4C2211yescharacteristic
270D4×C4⋊C4C2212yescomplemented
271#2345C2212yes—
272#2345C2212yescomplemented
273#2339C2212yes—
274#2326C2212yes—
275#2325C2214yes—
276#2324C2212yescomplemented
277#2314C2212yescomplemented
278C4×C4⋊Q8C2211yescharacteristic, complemented
279C4×#125C2211yescharacteristic, complemented
280C4×#124C2211yescharacteristic
281C4×C22⋊Q8C2212yes—
282C4×C22⋊Q8C2211yescharacteristic
283C4×#121C2211yescharacteristic
284C4×#121C2211yescharacteristic
285C4×#121C2212yes—
286C4×#121C2211yescharacteristic, complemented
287C4×#120C2212yes—
288C2×#391C2212yes—
289#2293C2211yescharacteristic
290#2293C2211yescharacteristic, complemented
291#2290C2212yes—
292#2283C2211yescharacteristic, complemented
293#2280C2212yes—
294C2×#380C2212yes—
295C2×#380C2212yes—
296C2×#380C2212yes—
297C42×D4C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2312yes—
300C23×Q8C2312yes—
301C23×Q8C2312yes—
302C23×Q8C2312yes—
303C23×D4C2311yescharacteristic
304C24×C4C2312yes—
305D4×Q8—44no—
306D4×Q8—48no—
307D4×Q8—48no—
308#548—48no—
309#547—44no—
310#546—48no—
311#536—48no—
312C2×C4⋊Q8—44no—
313C2×C4⋊Q8—44no—
314C2×C4⋊Q8C2311yescharacteristic
315C2×C4⋊Q8C2311yescharacteristic
316C2×C4⋊Q8C2311yescharacteristic
317C2×C4⋊Q8C2312yes—
318C2×C4⋊Q8C2312yes—
319C2×C4⋊Q8C2312yes—
320C2×C4⋊Q8C2312yes—
321C2×C4⋊Q8C2312yes—
322C2×C4⋊Q8C2312yes—
323C2×C4⋊Q8C2312yes—
324C2×C4⋊Q8C2312yes—
325C2×C4⋊Q8C2312yes—
326C2×C4⋊Q8C2312yes—
327C2×C4⋊Q8C2312yes—
328C2×C4⋊Q8C2314yes—
329C2×C4⋊Q8C2314yes—
330#529—44no—
331C2×#126C2312yes—
332C2×#125C2311yescharacteristic
333C2×#125C2312yes—
334C2×#125C2311yescharacteristic
335C2×#124—48no—
336C2×#124C2312yes—
337C2×#124C2312yes—
338C2×#124C2311yescharacteristic
339C2×#124C2312yes—
340C2×#124C2311yescharacteristic
341C2×#124C2312yes—
342C2×#124C2314yes—
343C2×#124C2314yes—
344C2×#124C2312yes—
345C2×#124C2314yes—
346C2×#123C2312yes—
347C2×#123C2314yes—
348C2×#123C2314yes—
349C2×#123C2314yes—
350C2×#123C2314yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2311yescharacteristic
353C2×C22⋊Q8C2314yes—
354C2×C22⋊Q8C2314yes—
355C2×C22⋊Q8C2314yes—
356C2×C22⋊Q8C2314yes—
357C2×C22⋊Q8C2312yes—
358C2×C22⋊Q8C2312yes—
359C2×C22⋊Q8C2312yes—
360C2×C22⋊Q8C2312yes—
361C2×C22⋊Q8C2312yes—
362C2×C22⋊Q8C2314yes—
363C2×C22⋊Q8C2311yescharacteristic
364C2×C22⋊Q8C2314yes—
365C2×C22⋊Q8C2314yes—
366C2×C22⋊Q8C2314yes—
367C2×#121C2312yes—
368C2×#121C2311yescharacteristic
369C2×#121C2311yescharacteristic
370C2×#121C2312yes—
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2311yescharacteristic
374C2×#121C2311yescharacteristic
375C2×#121C2314yes—
376C2×#121C2314yes—
377C2×#120C2312yes—
378C2×#120C2314yes—
379C2×C4×Q8C2311yescharacteristic
380C2×C4×Q8C2312yes—
381C2×C4×Q8C2312yes—
382C2×C4×Q8C2312yes—
383C2×C4×D4—44no—
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2311yescharacteristic
386C2×C4×D4C2311yescharacteristic
387C2×C4×D4C2311yescharacteristic
388C2×C4×D4C2311yescharacteristic
389C2×C4×D4C2312yes—
390C2×C4×D4C2311yescharacteristic
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2314yes—
394C2×C4×D4C2314yes—
395C2×C4×D4C2314yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2311yescharacteristic
399C2×C4×D4C2312yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2311yescharacteristic
402C2×C4×D4C2312yes—
403C2×#117C2312yes—
404C2×#117C2312yes—
405C2×#117C2312yes—
406C22×C4⋊C4C2311yescharacteristic
407C22×C4⋊C4C2312yes—
408C22×C4⋊C4C2312yes—
409C22×C4⋊C4C2312yes—
410C22×C4⋊C4C2312yes—
411C22×C4⋊C4C2312yes—
412C22×C4⋊C4C2312yes—
413C22×C4⋊C4C2311yescharacteristic
414C22×C4⋊C4C2311yescharacteristic
415C22×C22⋊C4C2314yes—
416C22×C22⋊C4C2314yes—
417C22×C22⋊C4C2312yes—
418C22×C22⋊C4C2314yes—
419C22×C42C2311yescharacteristic
420C22×C42C2311yescharacteristic
421C22×C42C2312yes—
422#401C2314yes—
423#401C2314yes—
424#401C2312yes—
425#400C2312yes—
426#400C2314yes—
427#400C2314yes—
428#400C2314yes—
429#400C2314yes—
430#400C2314yes—
431#400C2314yes—
432#400C2314yes—
433#400C2314yes—
434#400C2314yes—
435#400C2314yes—
436#400C2314yes—
437#400C2312yes—
438#400C2314yes—
439#400C2314yes—
440#400C2312yes—
441#400C2314yes—
442#400C2312yes—
443#400C2314yes—
444#400C2314yes—
445#400C2312yes—
446#399C2314yes—
447#399C2314yes—
448#399C2312yes—
449#399C2314yes—
450#399C2314yes—
451#399C2314yes—
452#399C2314yes—
453#399C2314yes—
454#399C2314yes—
455#399C2312yes—
456#398C2314yes—
457#398C2314yes—
458#398C2314yes—
459#398C2314yes—
460#398C2314yes—
461#398C2314yes—
462#398C2314yes—
463#398C2312yes—
464#398C2314yes—
465#398C2314yes—
466#398C2314yes—
467#398C2314yes—
468#398C2314yes—
469#398C2314yes—
470#398C2312yes—
471#398C2314yes—
472#398C2314yes—
473#398C2314yes—
474#398C2314yes—
475#398C2312yes—
476#397C2312yes—
477#397C2314yes—
478#397C2314yes—
479#397C2314yes—
480#397C2314yes—
481#397C2314yes—
482#397C2314yes—
483#397C2314yes—
484#397C2312yes—
485#397C2312yes—
486#397C2314yes—
487#397C2312yes—
488#397C2312yes—
489#397C2314yes—
490#397C2314yes—
491#397C2314yes—
492#397C2314yes—
493#397C2314yes—
494#397C2314yes—
495#397C2314yes—
496#397C2312yes—
497#397C2312yes—
498#397C2314yes—
499#397C2314yes—
500#397C2314yes—
501#397C2312yes—
502#397C2312yes—
503#397C2312yes—
504#396C2314yes—
505#396C2314yes—
506#396C2312yes—
507#396C2314yes—
508#396C2314yes—
509#396C2314yes—
510#396C2314yes—
511#396C2314yes—
512#396C2314yes—
513#396C2314yes—
514#396C2314yes—
515#396C2312yes—
516#396C2312yes—
517#395C2314yes—
518#395C2314yes—
519#395C2314yes—
520#395C2314yes—
521#395C2314yes—
522#395C2314yes—
523#395C2314yes—
524#395C2314yes—
525#395C2314yes—
526#395C2314yes—
527#395C2314yes—
528#395C2314yes—
529#395C2314yes—
530#394C2314yes—
531#394C2312yes—
532#394C2312yes—
533#394C2314yes—
534#394C2314yes—
535#394C2314yes—
536#394C2314yes—
537#394C2314yes—
538#394C2314yes—
539#394C2314yes—
540#394C2312yes—
541#394C2312yes—
542#394C2314yes—
543#394C2314yes—
544#394C2312yes—
545#394C2312yes—
546#394C2312yes—
547#393C2314yes—
548#393C2314yes—
549#393C2314yes—
550#393C2314yes—
551#393C2314yes—
552#393C2314yes—
553#393C2314yes—
554#392C2314yes—
555#392C2312yes—
556#391C2312yes—
557#391C2314yes—
558#391C2312yes—
559#391C2312yes—
560#391C2312yes—
561#391C2312yes—
562#391C2312yes—
563#391C2312yes—
564#391C2312yes—
565#391C2312yes—
566#391C2312yes—
567#391C2312yes—
568#391C2314yes—
569#391C2312yes—
570#391C2312yes—
571#391C2311yescharacteristic
572#391C2311yescharacteristic
573#390C2314yes—
574#390C2314yes—
575#390C2311yescharacteristic
576#390C2311yescharacteristic
577#390C2312yes—
578#390C2311yescharacteristic
579#390C2311yescharacteristic
580#390C2311yescharacteristic
581#390C2314yes—
582#390C2311yescharacteristic
583#390C2311yescharacteristic
584#390C2311yescharacteristic
585#390C2312yes—
586#389C2311yescharacteristic
587#389C2311yescharacteristic
588#389C2312yes—
589#389C2312yes—
590#389C2312yes—
591#389C2314yes—
592#389C2314yes—
593#389C2314yes—
594#389C2312yes—
595#389C2314yes—
596#389C2314yes—
597#389C2312yes—
598#389C2312yes—
599#389C2312yes—
600#389C2312yes—
601#389C2312yes—
602#389C2312yes—
603#389C2314yes—
604#389C2312yes—
605#389C2312yes—
606#389C2312yes—
607#389C2311yescharacteristic
608#389C2312yes—
609#389C2312yes—
610#389C2311yescharacteristic
611#389C2311yescharacteristic
612#389C2311yescharacteristic
613#389C2311yescharacteristic
614#389C2312yes—
615#389C2311yescharacteristic
616#389C2311yescharacteristic
617#389C2311yescharacteristic
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2312yes—
623#388C2312yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2312yes—
628#388C2312yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2312yes—
636#388C2314yes—
637#388C2312yes—
638#388C2312yes—
639#388C2312yes—
640#388C2312yes—
641#388C2312yes—
642#388C2312yes—
643#388C2312yes—
644#388C2312yes—
645#387C2312yes—
646#387C2312yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2312yes—
662#387C2314yes—
663#387C2312yes—
664#387C2314yes—
665#387C2314yes—
666#387C2312yes—
667#386C2312yes—
668#386C2312yes—
669#386C2312yes—
670#386C2314yes—
671#386C2312yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2312yes—
684#386C2312yes—
685#386C2312yes—
686#386C2312yes—
687#386C2312yes—
688#386C2312yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2312yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2312yes—
711#385C2312yes—
712#385C2314yes—
713#385C2314yes—
714#385C2312yes—
715#385C2312yes—
716#385C2312yes—
717#384C2311yescharacteristic
718#384C2312yes—
719#384C2312yes—
720#384C2312yes—
721#384C2312yes—
722#384C2312yes—
723#384C2312yes—
724#383C2312yes—
725#383C2314yes—
726#382C2311yescharacteristic
727#382C2314yes—
728#382C2312yes—
729#382C2311yescharacteristic
730#382C2311yescharacteristic
731#382C2311yescharacteristic
732#381C2314yes—
733#381C2312yes—
734#381C2312yes—
735#381C2312yes—
736#380C2311yescharacteristic
737#380C2312yes—
738#380C2312yes—
739#380C2312yes—
740#380C2311yescharacteristic
741#380C2312yes—
742#380C2312yes—
743#380C2314yes—
744#380C2312yes—
745#380C2314yes—
746#380C2314yes—
747#380C2314yes—
748#380C2312yes—
749#380C2314yes—
750#380C2312yes—
751#380C2314yes—
752#380C2314yes—
753#380C2314yes—
754#380C2312yes—
755#380C2312yes—
756#380C2312yes—
757#380C2312yes—
758#380C2312yes—
759#380C2312yes—
760#380C2312yes—
761#380C2312yes—
762#380C2312yes—
763#380C2312yes—
764#380C2314yes—
765#380C2312yes—
766#380C2312yes—
767#380C2314yes—
768#380C2311yescharacteristic
769#380C2311yescharacteristic
770#380C2312yes—
771#380C2312yes—
772#380C2311yescharacteristic
773#380C2314yes—
774#380C2311yescharacteristic
775#379C2312yes—
776#379C2312yes—
777#379C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2314yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2311yescharacteristic
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2311yescharacteristic
814C4×C22⋊C4C2311yescharacteristic
815C4×C22⋊C4C2311yescharacteristic
816#376C2312yes—
817C2×#95C2314yes—
818C2×#95C2314yes—
819C2×#95C2312yes—
820C2×#95C2314yes—
821C43C2311yescharacteristic
822C25C2412yes—
823C2×#41—28no—
824C2×#41—44no—
825C2×#41—44no—
826C22×Q8—28no—
827C22×Q8—44no—
828C22×Q8—44no—
829C22×Q8—44no—
830C22×Q8—44no—
831C22×Q8—44no—
832C22×Q8—44no—
833C22×Q8—44no—
834C22×Q8—44no—
835C22×Q8C2411yescharacteristic
836C22×Q8C2412yes—
837C22×Q8C2412yes—
838C22×Q8C2412yes—
839C22×Q8C2414yes—
840C22×Q8C2414yes—
841C22×Q8C2414yes—
842C22×D4—24no—
843C22×D4—24no—
844C22×D4—42no—
845C22×D4C2412yes—
846C22×D4C2411yescharacteristic
847C22×D4C2411yescharacteristic
848C22×D4C2412yes—
849C22×D4C2412yes—
850C22×D4C2411yescharacteristic
851C22×D4C2411yescharacteristic
852C22×D4C2412yes—
853C22×D4C2412yes—
854C22×D4C2414yes—
855C22×D4C2414yes—
856C23×C4—28no—
857C23×C4—44no—
858C23×C4—44no—
859C23×C4C2411yescharacteristic
860C23×C4C2412yes—
861C23×C4C2412yes—
862C23×C4C2412yes—
863C23×C4C2411yescharacteristic
864C23×C4C2411yescharacteristic
865C23×C4C2411yescharacteristic
866C23×C4C2411yescharacteristic
867C23×C4C2411yescharacteristic
868C23×C4C2414yes—
869C23×C4C2412yes—
870C23×C4C2412yes—
871C23×C4C2414yes—
872C23×C4C2412yes—
873C23×C4C2412yes—
874C23×C4C2412yes—
875C23×C4C2414yes—
876C23×C4C2414yes—
877C23×C4C2414yes—
878C4⋊Q8—24no—
879C4⋊Q8—24no—
880C4⋊Q8—24no—
881C4⋊Q8—44no—
882C4⋊Q8—44no—
883C4⋊Q8—44no—
884C4⋊Q8—44no—
885C4⋊Q8—44no—
886C4⋊Q8—44no—
887C4⋊Q8—44no—
888C4⋊Q8—44no—
889C4⋊Q8—44no—
890C4⋊Q8—44no—
891C4⋊Q8—44no—
892C4⋊Q8—48no—
893C4⋊Q8—48no—
894#126—44no—
895#125—42no—
896#125—44no—
897#125—42no—
898#124—28no—
899#124—28no—
900#124—24no—
901#124—44no—
902#124—44no—
903#124—42no—
904#124—44no—
905#124—48no—
906#124—48no—
907#124—48no—
908#123—48no—
909#123—48no—
910#123—48no—
911#123—44no—
912#123—48no—
913C22⋊Q8—28no—
914C22⋊Q8—24no—
915C22⋊Q8—48no—
916C22⋊Q8—48no—
917C22⋊Q8—48no—
918C22⋊Q8—48no—
919C22⋊Q8—48no—
920C22⋊Q8—48no—
921C22⋊Q8—48no—
922C22⋊Q8—48no—
923C22⋊Q8—42no—
924C22⋊Q8—44no—
925C22⋊Q8—44no—
926C22⋊Q8—44no—
927C22⋊Q8—44no—
928C22⋊Q8—44no—
929#121—24no—
930#121—28no—
931#121—24no—
932#121—48no—
933#121—48no—
934#121—44no—
935#121—42no—
936#121—42no—
937#121—44no—
938#121—44no—
939#120—28no—
940#120—48no—
941C4×Q8—24no—
942C4×Q8—44no—
943C4×Q8—44no—
944C4×Q8—44no—
945C4×D4—24no—
946C4×D4—28no—
947C4×D4—24no—
948C4×D4—24no—
949C4×D4—24no—
950C4×D4—24no—
951C4×D4—24no—
952C4×D4—44no—
953C4×D4—42no—
954C4×D4—42no—
955C4×D4—44no—
956C4×D4—44no—
957C4×D4—44no—
958C4×D4—44no—
959C4×D4—44no—
960C4×D4—44no—
961C4×D4—48no—
962C4×D4—48no—
963C4×D4—48no—
964#117—44no—
965#117—44no—
966#117—44no—
967C2×C4⋊C4—24no—
968C2×C4⋊C4—44no—
969C2×C4⋊C4—42no—
970C2×C4⋊C4—42no—
971C2×C4⋊C4—44no—
972C2×C4⋊C4—44no—
973C2×C4⋊C4—44no—
974C2×C4⋊C4—44no—
975C2×C4⋊C4—44no—
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2414yes—
1045C2×C22⋊C4—44no—
1046C2×C22⋊C4—48no—
1047C2×C22⋊C4—48no—
1048C2×C22⋊C4—48no—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2411yescharacteristic
1060C2×C22⋊C4C2411yescharacteristic
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2411yescharacteristic
1063C2×C22⋊C4C2411yescharacteristic
1064C2×C22⋊C4C2411yescharacteristic
1065C2×C22⋊C4C2411yescharacteristic
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2412yes—
1111C2×C42—24no—
1112C2×C42—24no—
1113C2×C42—44no—
1114C2×C42C2411yescharacteristic
1115C2×C42C2411yescharacteristic
1116C2×C42C2411yescharacteristic
1117C2×C42C2412yes—
1118C2×C42C2412yes—
1119C2×C42C2412yes—
1120C2×C42C2412yes—
1121C2×C42C2411yescharacteristic
1122C2×C42C2411yescharacteristic
1123C2×C42C2411yescharacteristic
1124C2×C42C2411yescharacteristic
1125C2×C42C2412yes—
1126C2×C42C2411yescharacteristic
1127C2×C42C2411yescharacteristic
1128C2×C42C2411yescharacteristic
1129C2×C42C2411yescharacteristic
1130C2×C42C2414yes—
1131C2×C42C2414yes—
1132C2×C42C2414yes—
1133C2×C42C2412yes—
1134C2×C42C2412yes—
1135C2×C42C2411yescharacteristic
1136C2×C42C2414yes—
1137C2×C42C2411yescharacteristic
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2411yescharacteristic
1159#95C2411yescharacteristic
1160#95C2412yes—
1161#95C2411yescharacteristic
1162#95C2411yescharacteristic
1163#95C2411yescharacteristic
1164#95C2411yescharacteristic
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2414yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2412yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2414yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2414yes—
1196#95C2412yes—
1197#95C2414yes—
1198#95C2412yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2414yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2414yes—
1205#95C2414yes—
1206#95C2414yes—
1207#95C2414yes—
1208C24—24no—
1209C24—24no—
1210C24—24no—
1211C24—24no—
1212C24—42no—
1213C24—42no—
1214C24—42no—
1215C24C2512yes—
1216C24C2512yes—
1217C24C2512yes—
1218C24C2511yescharacteristic
1219C24C2511yescharacteristic
1220#41—816no—
1221C2×Q8—22no—
1222C2×Q8—24no—
1223C2×Q8—24no—
1224C2×Q8—24no—
1225C2×Q8—24no—
1226C2×Q8—22no—
1227C2×Q8—24no—
1228C2×Q8—24no—
1229C2×Q8—24no—
1230C2×Q8—24no—
1231C2×Q8—22no—
1232C2×Q8—24no—
1233C2×Q8—28no—
1234C2×Q8—44no—
1235C2×Q8—44no—
1236C2×Q8—44no—
1237C2×Q8—44no—
1238C2×Q8—44no—
1239C2×Q8—44no—
1240C2×Q8—44no—
1241C2×Q8—44no—
1242C2×Q8—816no—
1243C2×Q8—816no—
1244C2×Q8—816no—
1245C2×D4—22no—
1246C2×D4—22no—
1247C2×D4—24no—
1248C2×D4—24no—
1249C2×D4—24no—
1250C2×D4—24no—
1251C2×D4—24no—
1252C2×D4—24no—
1253C2×D4—28no—
1254C2×D4—24no—
1255C2×D4—24no—
1256C2×D4—22no—
1257C2×D4—22no—
1258C2×D4—22no—
1259C2×D4—22no—
1260C2×D4—24no—
1261C2×D4—22no—
1262C2×D4—22no—
1263C2×D4—22no—
1264C2×D4—22no—
1265C2×D4—416no—
1266C2×D4—42no—
1267C2×D4—42no—
1268C2×D4—42no—
1269C2×D4—42no—
1270C2×D4—44no—
1271C2×D4—44no—
1272C2×D4—42no—
1273C2×D4—42no—
1274C2×D4—44no—
1275C2×D4—44no—
1276C2×D4—44no—
1277C2×D4H(5,𝔽2)14yes—
1278C2×D42−1+414yes—
1279C22×C4—22no—
1280C22×C4—22no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—22no—
1285C22×C4—28no—
1286C22×C4—28no—
1287C22×C4—24no—
1288C22×C4—24no—
1289C22×C4—24no—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—24no—
1295C22×C4—24no—
1296C22×C4—24no—
1297C22×C4—24no—
1298C22×C4—22no—
1299C22×C4—24no—
1300C22×C4—22no—
1301C22×C4—22no—
1302C22×C4—24no—
1303C22×C4—24no—
1304C22×C4—24no—
1305C22×C4—24no—
1306C22×C4—22no—
1307C22×C4—24no—
1308C22×C4—24no—
1309C22×C4—41no—
1310C22×C4—41no—
1311C22×C4—42no—
1312C22×C4—42no—
1313C22×C4—44no—
1314C22×C4—42no—
1315C22×C4—44no—
1316C22×C4—44no—
1317C22×C4—44no—
1318C22×C4—44no—
1319C22×C4—42no—
1320C22×C4—42no—
1321C22×C4—42no—
1322C22×C4—44no—
1323C22×C4—44no—
1324C22×C4—44no—
1325C22×C4—44no—
1326C22×C4—44no—
1327C22×C4—42no—
1328C22×C4—42no—
1329C22×C4—42no—
1330C22×C4—42no—
1331C22×C4—44no—
1332C22×C4—44no—
1333C22×C4—44no—
1334C22×C4—816no—
1335C22×C4H(5,𝔽2)14yes—
1336C22×C42−1+414yes—
1337C22×C4C2512yes—
1338C22×C4C2512yes—
1339C22×C4C2512yes—
1340C22×C4C2512yes—
1341C22×C4C2512yes—
1342C22×C4C2511yescharacteristic
1343C22×C4C2511yescharacteristic
1344C22×C4C2512yes—
1345C22×C4C2512yes—
1346C22×C4C2511yescharacteristic
1347C22×C4C2512yes—
1348C22×C4C2511yescharacteristic
1349C22×C4C2512yes—
1350C22×C4C2514yes—
1351C22×C4C2512yes—
1352C22×C4C2511yescharacteristic
1353C22×C4C2511yescharacteristic
1354C22×C4C2512yes—
1355C22×C4C2511yescharacteristic
1356C22×C4C2512yes—
1357C22×C4C2514yes—
1358C22×C4C2514yes—
1359C22×C4C2514yes—
1360C22×C4C2512yes—
1361C22×C4C2511yescharacteristic
1362C22×C4C2511yescharacteristic
1363C22×C4C2511yescharacteristic
1364C22×C4C2511yescharacteristic
1365C22×C4C2511yescharacteristic
1366C22×C4C2511yescharacteristic
1367C4⋊C4—22no—
1368C4⋊C4—24no—
1369C4⋊C4—24no—
1370C4⋊C4—24no—
1371C4⋊C4—22no—
1372C4⋊C4—22no—
1373C4⋊C4—24no—
1374C4⋊C4—24no—
1375C4⋊C4—24no—
1376C4⋊C4—24no—
1377C4⋊C4—22no—
1378C4⋊C4—24no—
1379C4⋊C4—22no—
1380C4⋊C4—24no—
1381C4⋊C4—22no—
1382C4⋊C4—22no—
1383C4⋊C4—28no—
1384C4⋊C4—24no—
1385C4⋊C4—24no—
1386C4⋊C4—22no—
1387C4⋊C4—22no—
1388C4⋊C4—22no—
1389C4⋊C4—22no—
1390C4⋊C4—22no—
1391C4⋊C4—24no—
1392C4⋊C4—22no—
1393C4⋊C4—22no—
1394C4⋊C4—24no—
1395C4⋊C4—22no—
1396C4⋊C4—42no—
1397C4⋊C4—44no—
1398C4⋊C4—42no—
1399C4⋊C4—44no—
1400C4⋊C4—44no—
1401C4⋊C4—44no—
1402C4⋊C4—44no—
1403C4⋊C4—44no—
1404C4⋊C4—42no—
1405C4⋊C4—42no—
1406C4⋊C4—42no—
1407C4⋊C4—44no—
1408C4⋊C4—42no—
1409C4⋊C4—42no—
1410C4⋊C4—42no—
1411C4⋊C4—42no—
1412C4⋊C4—42no—
1413C4⋊C4—42no—
1414C4⋊C4—42no—
1415C4⋊C4—42no—
1416C4⋊C4—44no—
1417C4⋊C4—42no—
1418C4⋊C4—44no—
1419C4⋊C4—44no—
1420C4⋊C4—44no—
1421C4⋊C4—44no—
1422C4⋊C4—44no—
1423C4⋊C4—44no—
1424C4⋊C4—44no—
1425C4⋊C4—44no—
1426C4⋊C4—44no—
1427C4⋊C4—44no—
1428C4⋊C4—44no—
1429C4⋊C4—44no—
1430C4⋊C4—44no—
1431C4⋊C4—44no—
1432C4⋊C4—44no—
1433C4⋊C4—42no—
1434C4⋊C4—42no—
1435C4⋊C4—44no—
1436C22⋊C4—24no—
1437C22⋊C4—28no—
1438C22⋊C4—28no—
1439C22⋊C4—28no—
1440C22⋊C4—28no—
1441C22⋊C4—28no—
1442C22⋊C4—22no—
1443C22⋊C4—24no—
1444C22⋊C4—24no—
1445C22⋊C4—24no—
1446C22⋊C4—24no—
1447C22⋊C4—22no—
1448C22⋊C4—22no—
1449C22⋊C4—22no—
1450C22⋊C4—24no—
1451C22⋊C4—24no—
1452C22⋊C4—24no—
1453C22⋊C4—24no—
1454C22⋊C4—24no—
1455C22⋊C4—22no—
1456C22⋊C4—24no—
1457C22⋊C4—22no—
1458C22⋊C4—24no—
1459C22⋊C4—24no—
1460C22⋊C4—24no—
1461C22⋊C4—24no—
1462C22⋊C4—42no—
1463C22⋊C4—42no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4—44no—
1469C22⋊C4—44no—
1470C22⋊C4—42no—
1471C22⋊C4—42no—
1472C22⋊C4—42no—
1473C22⋊C4—42no—
1474C22⋊C4—42no—
1475C22⋊C4—42no—
1476C22⋊C4—42no—
1477C22⋊C4—42no—
1478C22⋊C4—42no—
1479C22⋊C4—42no—
1480C22⋊C4—42no—
1481C22⋊C4—42no—
1482C22⋊C4—42no—
1483C22⋊C4—42no—
1484C22⋊C4—42no—
1485C22⋊C4—42no—
1486C22⋊C4—44no—
1487C22⋊C4—44no—
1488C22⋊C4—44no—
1489C22⋊C4—44no—
1490C22⋊C4—42no—
1491C22⋊C4—42no—
1492C22⋊C4—42no—
1493C22⋊C4—44no—
1494C22⋊C4—42no—
1495C22⋊C4—44no—
1496C22⋊C4—44no—
1497C22⋊C4—44no—
1498C42—22no—
1499C42—22no—
1500C42—22no—
1501C42—22no—
1502C42—22no—
1503C42—22no—
1504C42—24no—
1505C42—24no—
1506C42—22no—
1507C42—24no—
1508C42—24no—
1509C42—22no—
1510C42—22no—
1511C42—22no—
1512C42—22no—
1513C42—24no—
1514C42—42no—
1515C42—42no—
1516C42—41no—
1517C42—44no—
1518C42—44no—
1519C42—44no—
1520C42—44no—
1521C42H(5,𝔽2)14yes—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—22no—
1528C23—21no—
1529C23—21no—
1530C23—22no—
1531C23—21no—
1532C23—22no—
1533C23—22no—
1534C23—21no—
1535C23—22no—
1536C23—22no—
1537C23—21no—
1538C23—22no—
1539C23—22no—
1540C23—22no—
1541C23—22no—
1542C23—22no—
1543C23—22no—
1544C23—22no—
1545C23—22no—
1546C23—22no—
1547C23—22no—
1548C23—22no—
1549C23—22no—
1550C23—22no—
1551C23—22no—
1552C23—48no—
1553C23—48no—
1554C23—48no—
1555C23—48no—
1556C23—84no—
1557C23—84no—
1558C23—84no—
1559C23C2×H(5,𝔽2)14yes—
1560C23C2×H(5,𝔽2)12yes—
1561C23C2×2−1+412yes—
1562C23C2×2−1+412yes—
1563C23C2×2−1+412yes—
1564C23C2611yescharacteristic
1565Q8—44no—
1566Q8—48no—
1567Q8—48no—
1568Q8—48no—
1569Q8—88no—
1570Q8—88no—
1571Q8—88no—
1572D4—28no—
1573D4—28no—
1574D4—48no—
1575D4—48no—
1576D4—48no—
1577D4—44no—
1578D4—44no—
1579D4—84no—
1580D4—84no—
1581D4—88no—
1582D4—164no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—28no—
1592C2×C4—28no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—22no—
1605C2×C4—21no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—24no—
1611C2×C4—24no—
1612C2×C4—24no—
1613C2×C4—24no—
1614C2×C4—24no—
1615C2×C4—21no—
1616C2×C4—24no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—24no—
1622C2×C4—22no—
1623C2×C4—21no—
1624C2×C4—22no—
1625C2×C4—24no—
1626C2×C4—24no—
1627C2×C4—22no—
1628C2×C4—24no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—22no—
1648C2×C4—21no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—24no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—24no—
1660C2×C4—21no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—21no—
1664C2×C4—22no—
1665C2×C4—44no—
1666C2×C4—44no—
1667C2×C4—44no—
1668C2×C4—48no—
1669C2×C4—44no—
1670C2×C4—48no—
1671C2×C4—48no—
1672C2×C4—84no—
1673C2×C4—84no—
1674C2×C4—84no—
1675C2×C4—84no—
1676C2×C4—84no—
1677C2×C4—88no—
1678C2×C4—88no—
1679C2×C4—88no—
1680C2×C4—88no—
1681C2×C4—164no—
1682C2×C4C2×H(5,𝔽2)12yes—
1683C2×C4C2×H(5,𝔽2)12yes—
1684C2×C4C2×H(5,𝔽2)12yes—
1685C2×C4C2×H(5,𝔽2)12yes—
1686C2×C4C2×H(5,𝔽2)12yes—
1687C2×C4C2×H(5,𝔽2)12yes—
1688C2×C4C2×2−1+412yes—
1689C2×C4C2×2−1+412yes—
1690C2×C4C2×2−1+412yes—
1691C2×C4#58512yes—
1692C22—22no—
1693C22—22no—
1694C22—22no—
1695C22—22no—
1696C22—22no—
1697C22—22no—
1698C22—24no—
1699C22—22no—
1700C22—22no—
1701C22—24no—
1702C22—24no—
1703C22—22no—
1704C22—41no—
1705C22—42no—
1706C22—41no—
1707C22—42no—
1708C22—41no—
1709C22—42no—
1710C22—41no—
1711C22—42no—
1712C22—42no—
1713C22—42no—
1714C22—42no—
1715C22—42no—
1716C22—42no—
1717C22—42no—
1718C22—42no—
1719C22—42no—
1720C22—42no—
1721C22—42no—
1722C22—42no—
1723C22—42no—
1724C22—42no—
1725C22—42no—
1726C22—816no—
1727C22#355214yes—
1728C22C22×H(5,𝔽2)11yescharacteristic
1729C22C22×H(5,𝔽2)11yescharacteristic
1730C22C22×H(5,𝔽2)11yescharacteristic
1731C22C22×2−1+411yescharacteristic
1732C22C22×2−1+411yescharacteristic
1733C22C2×#58511yescharacteristic
1734C222−1+611yescharacteristic
1735C4—22no—
1736C4—22no—
1737C4—22no—
1738C4—22no—
1739C4—42no—
1740C4—41no—
1741C4—44no—
1742C4—42no—
1743C4—44no—
1744C4—44no—
1745C4—41no—
1746C4—42no—
1747C4—42no—
1748C4—42no—
1749C4—41no—
1750C4—42no—
1751C4—42no—
1752C4—42no—
1753C4—41no—
1754C4—42no—
1755C4—42no—
1756C4—41no—
1757C4—42no—
1758C4—42no—
1759C4—44no—
1760C4—41no—
1761C4—41no—
1762C4—42no—
1763C4#353714yes—
1764C4#356114yes—
1765C2—24no—
1766C2—42no—
1767C2—44no—
1768C2—82no—
1769C2—82no—
1770C2C2×#353711yescharacteristic
1771C2C2×#356111yescharacteristic
1772C2C2×#355211yescharacteristic
1773C2#6291511yescharacteristic
1774C2#6293111yescharacteristic
1775C2#6294211yescharacteristic
1776C2#6301311yescharacteristic
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. #59437C2semidirect
2. #59199C2semidirect
3. #59130C2semidirect
4. #59127C2semidirect
5. #59125C2semidirect
6. #53611C2semidirect
7. #53510C2semidirect
8. #53041C2semidirect
9. #53022C2semidirect
10. #52968C2semidirect
11. #52963C2semidirect
12. #52470C2semidirect
13. #42912C2semidirect
14. #42758C2semidirect
15. #42715C2semidirect
16. #42458C2semidirect
17. #40700C2semidirect
18. #39615C2semidirect
19. #39513C2semidirect
20. #39360C2semidirect
21. #39146C2semidirect
22. #39144C2semidirect
23. #39124C2semidirect
24. #37852C2semidirect
25. #37676C2semidirect
26. #37627C2semidirect
27. #37617C2semidirect
28. #37495C2semidirect
29. #37477C2semidirect
30. #36599C2semidirect
31. #36153C2semidirect
32. D4×C4⋊Q8C2semidirect
33. C2×#2547C2semidirect
34. #34788C2semidirect
35. #34700C2semidirect
38. C2×D4×Q8C22semidirect
44. C22×C4⋊Q8C22semidirect
48. #2868C22semidirect
51. #2857C22semidirect
53. #2841C22semidirect
54. #2841C22semidirect
55. #2838C22semidirect
56. #2838C22semidirect
57. #2838C22semidirect
58. #2837C22semidirect
59. #2833C22semidirect
60. #2831C22semidirect
61. #2830C22semidirect
62. #2827C22semidirect
63. #2827C22semidirect
64. #2826C22semidirect
65. #2821C22semidirect
66. #2817C22semidirect
67. #2796C22semidirect
68. #2793C22semidirect
69. #2793C22semidirect
70. #2787C22semidirect
71. #2780C22semidirect
72. #2779C22semidirect
73. #2778C22semidirect
74. #2771C22semidirect
75. #2770C22semidirect
76. #2765C22semidirect
77. #2757C22semidirect
78. #2748C22semidirect
79. #2746C22semidirect
80. #2746C22semidirect
81. #2742C22semidirect
82. #2741C22semidirect
83. #2737C22semidirect
84. #2734C22semidirect
85. #2732C22semidirect
86. #2729C22semidirect
87. #2729C22semidirect
88. #2723C22semidirect
89. #2717C22semidirect
90. #2717C22semidirect
91. #2708C22semidirect
92. #2708C22semidirect
93. #2696C22semidirect
94. #2680C22semidirect
95. #2680C22semidirect
96. #2677C22semidirect
101. #2674C22semidirect
104. #2666C22semidirect
106. #2659C22semidirect
108. #2651C22semidirect
109. #2650C22semidirect
110. #2649C22semidirect
112. #2646C22semidirect
113. #2645C22semidirect
115. #2642C22semidirect
116. #2638C22semidirect
117. #2629C22semidirect
118. #2629C22semidirect
119. #2628C22semidirect
120. #2628C22semidirect
121. #2628C22semidirect
122. #2625C22semidirect
123. #2624C22semidirect
124. #2623C22semidirect
125. #2621C22semidirect
127. #2585C22semidirect
128. #2577C22semidirect
132. #2564C22semidirect
133. #2563C22semidirect
134. #2562C22semidirect
135. #2552C22semidirect
136. #2551C22semidirect
137. #2551C22semidirect
138. #2551C22semidirect
150. #2546C22semidirect
151. #2546C22semidirect
152. #2546C22semidirect
155. #2542C22semidirect
158. #2535C22semidirect
159. #2525C22semidirect
160. #2516C22semidirect
161. #2514C22semidirect
162. #2513C22semidirect
163. #2511C22semidirect
166. #2509C22semidirect
167. #2509C22semidirect
169. #2505C22semidirect
171. #2497C22semidirect
172. #2497C22semidirect
173. #2497C22semidirect
174. #2495C22semidirect
175. #2494C22semidirect
176. #2494C22semidirect
177. #2494C22semidirect
179. #2491C22semidirect
180. #2490C22semidirect
181. #2490C22semidirect
182. #2489C22semidirect
184. #2487C22semidirect
185. #2487C22semidirect
186. #2487C22semidirect
194. #2452C22semidirect
197. #2446C22semidirect
198. #2446C22semidirect
199. #2446C22semidirect
200. #2446C22semidirect
202. #2443C22semidirect
206. #2442C22semidirect
207. #2442C22semidirect
211. #2440C22semidirect
212. #2440C22semidirect
213. #2440C22semidirect
214. #2440C22semidirect
215. #2440C22semidirect
223. #2434C22semidirect
224. #2434C22semidirect
225. #2434C22semidirect
226. #2434C22semidirect
229. #2429C22semidirect
230. #2429C22semidirect
237. #2423C22semidirect
238. #2423C22semidirect
239. #2422C22semidirect
240. #2422C22semidirect
249. #2416C22semidirect
252. #2409C22semidirect
253. #2409C22semidirect
255. #2401C22semidirect
257. #2395C22semidirect
260. #2370C22semidirect
262. #2365C22semidirect
263. #2365C22semidirect
266. #2355C22semidirect
270. D4×C4⋊C4C22semidirect
272. #2345C22semidirect
276. #2324C22semidirect
277. #2314C22semidirect
278. C4×C4⋊Q8C22semidirect
279. C4×#125C22semidirect
286. C4×#121C22semidirect
290. #2293C22semidirect
292. #2283C22semidirect

Maximal subgroups

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

subgroupindex
#594372
#591992
#591302
#591272
#591252
#536112
#535102
#530412
#530222
#529682
#529632
#524702
#429122
#427582
#427152
#424582
#407002
#396152
#395132
#393602
#391462
#391442
#391242
#378522
#376762
#376272
#376172
#374952
#374772
#365992
#361532
D4×C4⋊Q82
C2×#25472
#347882
#347002