Finite Group Databasebeta

← #8424463

Subgroups — #8424463

Order 512.

4806 conjugacy classes of subgroups.

The subgroup lattice has 1725 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59655C211yesmaximal, characteristic, complemented
2#59424C212yesmaximal, complemented
3#59321C211yesmaximal, characteristic, complemented
4#59258C211yesmaximal, characteristic, complemented
5#59014C212yesmaximal, complemented
6#58282C214yesmaximal, complemented
7#56455C214yesmaximal, complemented
8#53122C212yesmaximal, complemented
9#53020C212yesmaximal, complemented
10#53010C212yesmaximal, complemented
11#52994C212yesmaximal, complemented
12#52473C214yesmaximal, complemented
13#42859C212yesmaximal, complemented
14#42803C212yesmaximal, complemented
15#42750C212yesmaximal, complemented
16#42494C212yesmaximal, complemented
17#40735C214yesmaximal, complemented
18#39751C212yesmaximal, complemented
19#39598C211yesmaximal, characteristic, complemented
20#39379C211yesmaximal, characteristic, complemented
21#39154C212yesmaximal, complemented
22#39125C211yesmaximal, characteristic, complemented
23#38977C211yesmaximal, characteristic, complemented
24#38110C212yesmaximal
25#37663C212yesmaximal, complemented
26#37637C211yesmaximal, characteristic, complemented
27#37622C211yesmaximal, characteristic, complemented
28#37504C212yesmaximal, complemented
29#37477C212yesmaximal, complemented
30Q8×C22⋊Q8C211yesmaximal, characteristic, complemented
31#36189C211yesmaximal, characteristic, complemented
32#36154C211yesmaximal, characteristic, complemented
33C2×#2538C211yesmaximal, characteristic, complemented
34#34700C211yesmaximal, characteristic
35#34691C211yesmaximal, characteristic, complemented
36C2×Q82C2211yescharacteristic, complemented
37C2×#554C2211yescharacteristic
38C2×#552C2212yescomplemented
39C2×#541C2212yescomplemented
40C2×#533C2211yescharacteristic, complemented
41C2×#529C2211yescharacteristic
42C22×C22⋊Q8C2212yes—
43C22×C4×Q8C2211yescharacteristic
44C22×C4×D4C2211yescharacteristic
45#2859C2211yescharacteristic, complemented
46#2857C2211yescharacteristic
47#2857C2212yes—
48#2857C2211yescharacteristic, complemented
49#2848C2212yes—
50#2841C2214yescomplemented
51#2841C2214yescomplemented
52#2841C2214yescomplemented
53#2839C2214yescomplemented
54#2838C2214yescomplemented
55#2836C2214yescomplemented
56#2836C2214yescomplemented
57#2836C2214yescomplemented
58#2831C2214yescomplemented
59#2831C2214yescomplemented
60#2827C2214yescomplemented
61#2823C2214yescomplemented
62#2820C2214yescomplemented
63#2814C2214yescomplemented
64#2805C2214yescomplemented
65#2796C2214yes—
66#2791C2214yescomplemented
67#2788C2214yescomplemented
68#2787C2214yescomplemented
69#2786C2214yes—
70#2786C2214yescomplemented
71#2765C2214yescomplemented
72#2755C2214yescomplemented
73#2755C2214yescomplemented
74#2751C2214yes—
75#2744C2214yescomplemented
76#2740C2214yes—
77#2739C2214yescomplemented
78#2730C2214yes—
79#2729C2214yescomplemented
80#2726C2214yescomplemented
81#2725C2214yescomplemented
82#2725C2214yescomplemented
83#2725C2214yescomplemented
84#2721C2214yescomplemented
85#2720C2214yescomplemented
86#2716C2214yescomplemented
87#2715C2214yescomplemented
88#2707C2214yescomplemented
89#2705C2214yes—
90#2704C2214yescomplemented
91#2704C2214yescomplemented
92#2704C2214yescomplemented
93#2702C2214yescomplemented
94#2698C2214yescomplemented
95#2695C2214yescomplemented
96#2690C2214yescomplemented
97#2690C2214yescomplemented
98#2689C2214yescomplemented
99#2683C2214yescomplemented
100#2674C2214yescomplemented
101#2664C2214yescomplemented
102#2664C2214yescomplemented
103#2659C2214yes—
104#2659C2214yescomplemented
105#2655C2214yescomplemented
106#2652C2214yescomplemented
107#2647C2212yescomplemented
108#2646C2214yes—
109#2646C2214yescomplemented
110#2645C2212yescomplemented
111#2644C2212yes—
112#2643C2214yes—
113#2637C2214yescomplemented
114#2629C2212yescomplemented
115#2629C2212yescomplemented
116#2629C2214yescomplemented
117#2629C2212yescomplemented
118#2628C2212yescomplemented
119#2628C2212yescomplemented
120#2625C2212yescomplemented
121#2625C2212yescomplemented
122#2624C2212yes—
123#2621C2212yescomplemented
124#2601C2214yes—
125#2592C2212yes—
126#2584C2212yescomplemented
127#2584C2212yescomplemented
128#2582C2212yescomplemented
129#2582C2211yescharacteristic, complemented
130#2582C2211yescharacteristic, complemented
131#2570C2212yescomplemented
132#2567C2211yescharacteristic, complemented
133#2567C2212yescomplemented
134#2565C2212yescomplemented
135#2563C2211yescharacteristic
136#2560C2214yes—
137#2552C2211yescharacteristic, complemented
138#2552C2212yescomplemented
139#2550C2212yescomplemented
140#2550C2212yescomplemented
141#2547C2212yescomplemented
142#2538C2212yes—
143#2538C2211yescharacteristic
144#2538C2211yescharacteristic
145#2538C2212yes—
146#2538C2212yes—
147#2538C2212yes—
148#2538C2211yescharacteristic
149#2538C2211yescharacteristic
150#2538C2214yes—
151#2538C2211yescharacteristic
152#2538C2212yes—
153#2538C2212yescomplemented
154#2536C2212yescomplemented
155#2512C2212yes—
156#2512C2212yes—
157#2512C2212yes—
158#2511C2212yescomplemented
159#2511C2212yescomplemented
160#2508C2212yescomplemented
161#2508C2212yescomplemented
162#2507C2212yescomplemented
163#2506C2212yescomplemented
164#2506C2212yescomplemented
165#2506C2212yescomplemented
166#2506C2212yescomplemented
167#2503C2212yescomplemented
168#2502C2212yes—
169#2497C2212yescomplemented
170#2496C2212yescomplemented
171#2496C2212yescomplemented
172#2494C2212yescomplemented
173#2492C2212yescomplemented
174#2491C2212yes—
175#2489C2212yescomplemented
176#2489C2212yescomplemented
177#2488C2214yescomplemented
178#2487C2212yes—
179#2487C2212yes—
180#2485C2212yescomplemented
181#2481C2214yes—
182#2480C2214yes—
183#2480C2214yes—
184#2480C2212yes—
185#2480C2214yes—
186#2475C2214yescomplemented
187#2473C2214yes—
188#2473C2212yes—
189#2473C2214yes—
190#2472C2214yes—
191#2468C2212yes—
192#2465C2212yescomplemented
193#2462C2212yescomplemented
194#2457C2212yes—
195#2454C2212yes—
196#2454C2211yescharacteristic
197#2453C2212yescomplemented
198#2452C2212yes—
199#2451C2212yescomplemented
200#2451C2211yescharacteristic, complemented
201#2451C2214yescomplemented
202#2450C2214yes—
203#2449C2212yes—
204#2448C2212yes—
205#2447C2211yescharacteristic
206#2447C2212yes—
207#2446C2211yescharacteristic, complemented
208#2442C2214yes—
209#2442C2212yes—
210#2442C2214yes—
211#2442C2212yes—
212#2442C2211yescharacteristic
213#2442C2212yes—
214#2442C2212yescomplemented
215#2442C2212yescomplemented
216#2441C2212yescomplemented
217#2440C2214yes—
218#2440C2211yescharacteristic
219#2440C2212yes—
220#2440C2212yescomplemented
221#2440C2212yescomplemented
222#2438C2214yescomplemented
223#2437C2214yes—
224#2437C2214yes—
225#2437C2214yes—
226#2435C2211yescharacteristic
227#2434C2211yescharacteristic
228#2429C2212yescomplemented
229#2429C2214yescomplemented
230#2429C2212yescomplemented
231#2429C2211yescharacteristic, complemented
232#2427C2211yescharacteristic
233#2423C2212yescomplemented
234#2423C2211yescharacteristic, complemented
235#2422C2212yes—
236#2421C2212yescomplemented
237#2421C2212yescomplemented
238#2421C2212yescomplemented
239#2421C2212yescomplemented
240#2420C2211yescharacteristic
241#2418C2212yes—
242#2417C2212yes—
243#2417C2212yes—
244#2417C2211yescharacteristic
245#2417C2211yescharacteristic
246#2417C2212yescomplemented
247#2415C2212yescomplemented
248#2415C2212yescomplemented
249#2412C2214yes—
250#2409C2211yescharacteristic
251#2408C2211yescharacteristic
252#2399C2212yescomplemented
253#2396C2212yescomplemented
254#2395C2212yes—
255#2392C2212yes—
256C2×#396C2214yes—
257#2367C2212yes—
258#2360C2212yes—
259#2360C2212yes—
260#2360C2212yescomplemented
261#2355C2211yescharacteristic, complemented
262#2354C2212yes—
263#2352C2212yes—
264Q8×C4⋊C4C2212yescomplemented
265Q8×C4⋊C4C2211yescharacteristic, complemented
266Q8×C4⋊C4C2211yescharacteristic, complemented
267#2349C2212yes—
268D4×C4⋊C4C2211yescharacteristic
269#2345C2212yes—
270#2345C2212yes—
271#2342C2214yes—
272Q8×C22⋊C4C2212yes—
273D4×C22⋊C4C2212yes—
274#2329C2214yes—
275#2324C2212yes—
276#2323C2212yescomplemented
277#2319C2212yes—
278C4×C4⋊Q8C2211yescharacteristic, complemented
279C4×C4⋊Q8C2211yescharacteristic, complemented
280C4×#124C2211yescharacteristic
281C4×C22⋊Q8C2212yes—
282C4×C22⋊Q8C2212yes—
283C4×C22⋊Q8C2211yescharacteristic
284C4×C22⋊Q8C2211yescharacteristic
285C4×C22⋊Q8C2211yescharacteristic, complemented
286C4×#121C2211yescharacteristic
287C4×#120C2212yes—
288#2295C2211yescharacteristic, complemented
289#2293C2211yescharacteristic
290C2×#390C2212yes—
291C2×#389C2212yes—
292#2290C2212yes—
293#2285C2211yescharacteristic, complemented
294C2×#384C2211yescharacteristic
295#2280C2212yes—
296C2×#380C2212yes—
297C2×#380C2212yes—
298C42×D4C2211yescharacteristic
299C23×Q8C2311yescharacteristic
300C23×D4C2311yescharacteristic
301C24×C4C2312yes—
302Q82—44no—
303#554—44no—
304#552—48no—
305#541—48no—
306#533—44no—
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2314yes—
314#529—44no—
315C2×#126C2314yes—
316C2×#126C2314yes—
317C2×#126C2312yes—
318C2×#126C2314yes—
319C2×#126C2314yes—
320C2×#125C2312yes—
321C2×#125C2311yescharacteristic
322C2×#125C2312yes—
323C2×#125C2312yes—
324C2×#125C2314yes—
325C2×#125C2312yes—
326C2×#125C2314yes—
327C2×#125C2314yes—
328C2×#125C2314yes—
329C2×#124C2311yescharacteristic
330C2×#124C2311yescharacteristic
331C2×#124C2314yes—
332C2×#123C2314yes—
333C2×#123C2312yes—
334C2×C22⋊Q8—48no—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2311yescharacteristic
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2311yescharacteristic
339C2×C22⋊Q8C2311yescharacteristic
340C2×C22⋊Q8C2314yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2311yescharacteristic
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2311yescharacteristic
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2314yes—
350C2×C22⋊Q8C2314yes—
351C2×C22⋊Q8C2311yescharacteristic
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2314yes—
354C2×C22⋊Q8C2314yes—
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2314yes—
357C2×#121C2311yescharacteristic
358C2×#121C2311yescharacteristic
359C2×#120C2312yes—
360C2×C4×Q8—44no—
361C2×C4×Q8C2311yescharacteristic
362C2×C4×Q8C2311yescharacteristic
363C2×C4×Q8C2311yescharacteristic
364C2×C4×Q8C2311yescharacteristic
365C2×C4×Q8C2312yes—
366C2×C4×Q8C2312yes—
367C2×C4×Q8C2312yes—
368C2×C4×Q8C2312yes—
369C2×C4×Q8C2312yes—
370C2×C4×Q8C2312yes—
371C2×C4×Q8C2311yescharacteristic
372C2×C4×Q8C2311yescharacteristic
373C2×C4×Q8C2312yes—
374C2×C4×Q8C2312yes—
375C2×C4×D4—44no—
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2312yes—
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2311yescharacteristic
381C2×C4×D4C2312yes—
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2312yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2311yescharacteristic
387C2×C4×D4C2312yes—
388C2×C4×D4C2311yescharacteristic
389C2×#117C2312yes—
390C2×#117C2312yes—
391C2×#117C2314yes—
392C2×#117C2312yes—
393C2×#117C2312yes—
394C22×C4⋊C4C2312yes—
395C22×C4⋊C4C2312yes—
396C22×C4⋊C4C2312yes—
397C22×C4⋊C4C2312yes—
398C22×C4⋊C4C2312yes—
399C22×C4⋊C4C2314yes—
400C22×C4⋊C4C2311yescharacteristic
401C22×C4⋊C4C2311yescharacteristic
402C22×C4⋊C4C2312yes—
403C22×C22⋊C4C2314yes—
404C22×C22⋊C4C2314yes—
405C22×C22⋊C4C2312yes—
406C22×C22⋊C4C2314yes—
407C22×C42C2311yescharacteristic
408C22×C42C2311yescharacteristic
409C22×C42C2312yes—
410#401C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2312yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2314yes—
422#400C2314yes—
423#400C2314yes—
424#400C2314yes—
425#400C2314yes—
426#400C2314yes—
427#400C2314yes—
428#400C2314yes—
429#400C2314yes—
430#400C2312yes—
431#400C2314yes—
432#399C2312yes—
433#399C2314yes—
434#399C2314yes—
435#399C2314yes—
436#399C2312yes—
437#399C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2312yes—
450#398C2314yes—
451#398C2312yes—
452#398C2314yes—
453#398C2314yes—
454#398C2314yes—
455#398C2314yes—
456#398C2314yes—
457#398C2314yes—
458#398C2314yes—
459#398C2312yes—
460#398C2314yes—
461#398C2314yes—
462#398C2314yes—
463#398C2312yes—
464#398C2314yes—
465#398C2314yes—
466#398C2314yes—
467#398C2314yes—
468#398C2312yes—
469#398C2314yes—
470#398C2312yes—
471#398C2312yes—
472#398C2312yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#397C2314yes—
477#397C2314yes—
478#397C2314yes—
479#397C2312yes—
480#397C2314yes—
481#397C2314yes—
482#397C2314yes—
483#397C2314yes—
484#397C2312yes—
485#397C2312yes—
486#397C2314yes—
487#397C2314yes—
488#397C2314yes—
489#397C2314yes—
490#397C2314yes—
491#397C2312yes—
492#397C2314yes—
493#396C2314yes—
494#396C2314yes—
495#396C2314yes—
496#396C2314yes—
497#396C2312yes—
498#396C2314yes—
499#396C2314yes—
500#396C2314yes—
501#396C2314yes—
502#396C2314yes—
503#396C2314yes—
504#396C2312yes—
505#396C2314yes—
506#396C2314yes—
507#396C2314yes—
508#396C2314yes—
509#396C2312yes—
510#396C2314yes—
511#396C2314yes—
512#396C2314yes—
513#396C2314yes—
514#396C2314yes—
515#396C2312yes—
516#396C2314yes—
517#395C2314yes—
518#395C2314yes—
519#395C2314yes—
520#395C2314yes—
521#395C2312yes—
522#395C2314yes—
523#395C2314yes—
524#395C2312yes—
525#395C2314yes—
526#395C2312yes—
527#395C2312yes—
528#395C2312yes—
529#394C2312yes—
530#394C2312yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#394C2312yes—
535#394C2314yes—
536#394C2312yes—
537#394C2312yes—
538#393C2314yes—
539#393C2314yes—
540#393C2314yes—
541#393C2314yes—
542#393C2312yes—
543#392C2312yes—
544#391C2312yes—
545#391C2312yes—
546#391C2311yescharacteristic
547#391C2311yescharacteristic
548#391C2311yescharacteristic
549#391C2312yes—
550#391C2312yes—
551#391C2314yes—
552#391C2314yes—
553#391C2311yescharacteristic
554#391C2312yes—
555#391C2311yescharacteristic
556#391C2312yes—
557#391C2312yes—
558#391C2314yes—
559#391C2314yes—
560#391C2312yes—
561#391C2314yes—
562#391C2312yes—
563#391C2312yes—
564#391C2311yescharacteristic
565#391C2311yescharacteristic
566#391C2311yescharacteristic
567#390C2314yes—
568#390C2312yes—
569#390C2311yescharacteristic
570#390C2312yes—
571#390C2314yes—
572#390C2312yes—
573#390C2312yes—
574#390C2311yescharacteristic
575#390C2312yes—
576#390C2311yescharacteristic
577#390C2311yescharacteristic
578#390C2312yes—
579#390C2314yes—
580#389C2312yes—
581#389C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2312yes—
585#389C2311yescharacteristic
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2312yes—
591#389C2312yes—
592#389C2314yes—
593#389C2314yes—
594#389C2314yes—
595#389C2314yes—
596#389C2314yes—
597#389C2312yes—
598#389C2312yes—
599#389C2312yes—
600#389C2311yescharacteristic
601#389C2314yes—
602#389C2314yes—
603#389C2312yes—
604#389C2312yes—
605#389C2312yes—
606#389C2312yes—
607#389C2314yes—
608#389C2312yes—
609#389C2312yes—
610#389C2312yes—
611#389C2314yes—
612#389C2312yes—
613#389C2312yes—
614#389C2312yes—
615#389C2312yes—
616#389C2312yes—
617#389C2314yes—
618#389C2314yes—
619#389C2312yes—
620#389C2314yes—
621#389C2314yes—
622#389C2311yescharacteristic
623#389C2311yescharacteristic
624#389C2311yescharacteristic
625#389C2314yes—
626#389C2314yes—
627#389C2311yescharacteristic
628#389C2312yes—
629#389C2311yescharacteristic
630#389C2311yescharacteristic
631#389C2312yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2312yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2312yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2312yes—
651#388C2312yes—
652#388C2314yes—
653#388C2312yes—
654#388C2312yes—
655#388C2312yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2312yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2312yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2312yes—
675#387C2312yes—
676#387C2314yes—
677#387C2314yes—
678#387C2312yes—
679#387C2312yes—
680#387C2312yes—
681#387C2312yes—
682#387C2312yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2312yes—
688#386C2312yes—
689#386C2312yes—
690#386C2312yes—
691#386C2312yes—
692#386C2312yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2312yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2312yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2312yes—
709#385C2314yes—
710#385C2312yes—
711#385C2312yes—
712#385C2312yes—
713#385C2312yes—
714#385C2312yes—
715#385C2312yes—
716#385C2312yes—
717#384C2311yescharacteristic
718#384C2311yescharacteristic
719#384C2312yes—
720#384C2314yes—
721#384C2312yes—
722#384C2311yescharacteristic
723#384C2312yes—
724#384C2311yescharacteristic
725#384C2312yes—
726#384C2312yes—
727#384C2312yes—
728#384C2312yes—
729#382C2312yes—
730#382C2314yes—
731#382C2312yes—
732#382C2312yes—
733#382C2312yes—
734#382C2314yes—
735#382C2311yescharacteristic
736#381C2314yes—
737#381C2312yes—
738#381C2312yes—
739#381C2314yes—
740#380C2312yes—
741#380C2312yes—
742#380C2314yes—
743#380C2312yes—
744#380C2312yes—
745#380C2314yes—
746#380C2314yes—
747#380C2314yes—
748#380C2314yes—
749#380C2312yes—
750#380C2312yes—
751#380C2312yes—
752#380C2314yes—
753#380C2314yes—
754#380C2311yescharacteristic
755#380C2314yes—
756#380C2314yes—
757#380C2312yes—
758#380C2312yes—
759#380C2312yes—
760#380C2312yes—
761#380C2312yes—
762#380C2311yescharacteristic
763#380C2312yes—
764#380C2314yes—
765#380C2312yes—
766#380C2314yes—
767#380C2312yes—
768#380C2312yes—
769#380C2311yescharacteristic
770#380C2312yes—
771#380C2311yescharacteristic
772#380C2312yes—
773#380C2312yes—
774#379C2314yes—
775#379C2312yes—
776#379C2312yes—
777#379C2312yes—
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2311yescharacteristic
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2311yescharacteristic
814C4×C22⋊C4C2311yescharacteristic
815#376C2312yes—
816C2×#95C2314yes—
817C2×#95C2314yes—
818C43C2311yescharacteristic
819C25C2412yes—
820C22×Q8—24no—
821C22×Q8—24no—
822C22×Q8—42no—
823C22×Q8C2411yescharacteristic
824C22×Q8C2411yescharacteristic
825C22×Q8C2411yescharacteristic
826C22×Q8C2412yes—
827C22×Q8C2411yescharacteristic
828C22×Q8C2412yes—
829C22×Q8C2412yes—
830C22×Q8C2414yes—
831C22×D4—24no—
832C22×D4—24no—
833C22×D4—42no—
834C22×D4C2411yescharacteristic
835C22×D4C2411yescharacteristic
836C22×D4C2412yes—
837C22×D4C2411yescharacteristic
838C22×D4C2412yes—
839C22×D4C2412yes—
840C23×C4—28no—
841C23×C4—44no—
842C23×C4—44no—
843C23×C4C2412yes—
844C23×C4C2411yescharacteristic
845C23×C4C2412yes—
846C23×C4C2411yescharacteristic
847C23×C4C2411yescharacteristic
848C23×C4C2412yes—
849C23×C4C2411yescharacteristic
850C23×C4C2411yescharacteristic
851C23×C4C2414yes—
852C23×C4C2412yes—
853C23×C4C2412yes—
854C23×C4C2414yes—
855C23×C4C2412yes—
856C23×C4C2412yes—
857C23×C4C2411yescharacteristic
858C23×C4C2414yes—
859C4⋊Q8—24no—
860C4⋊Q8—24no—
861C4⋊Q8—42no—
862C4⋊Q8—44no—
863C4⋊Q8—44no—
864C4⋊Q8—42no—
865C4⋊Q8—48no—
866#126—44no—
867#126—48no—
868#126—48no—
869#126—48no—
870#126—84no—
871#125—42no—
872#125—44no—
873#125—44no—
874#125—48no—
875#125—44no—
876#125—44no—
877#125—48no—
878#125—48no—
879#125—84no—
880#124—24no—
881#124—42no—
882#124—84no—
883#123—48no—
884#123—44no—
885C22⋊Q8—28no—
886C22⋊Q8—28no—
887C22⋊Q8—24no—
888C22⋊Q8—24no—
889C22⋊Q8—24no—
890C22⋊Q8—44no—
891C22⋊Q8—44no—
892C22⋊Q8—48no—
893C22⋊Q8—48no—
894C22⋊Q8—48no—
895C22⋊Q8—48no—
896C22⋊Q8—44no—
897C22⋊Q8—44no—
898C22⋊Q8—44no—
899C22⋊Q8—42no—
900C22⋊Q8—42no—
901C22⋊Q8—42no—
902C22⋊Q8—44no—
903C22⋊Q8—44no—
904C22⋊Q8—84no—
905C22⋊Q8—84no—
906C22⋊Q8—82no—
907#121—24no—
908#121—42no—
909#120—44no—
910C4×Q8—28no—
911C4×Q8—24no—
912C4×Q8—24no—
913C4×Q8—24no—
914C4×Q8—24no—
915C4×Q8—44no—
916C4×Q8—44no—
917C4×Q8—44no—
918C4×Q8—42no—
919C4×Q8—42no—
920C4×Q8—44no—
921C4×Q8—44no—
922C4×Q8—44no—
923C4×Q8—82no—
924C4×D4—28no—
925C4×D4—24no—
926C4×D4—24no—
927C4×D4—24no—
928C4×D4—24no—
929C4×D4—44no—
930C4×D4—42no—
931C4×D4—42no—
932C4×D4—44no—
933C4×D4—44no—
934C4×D4—44no—
935C4×D4—44no—
936C4×D4—42no—
937#117—44no—
938#117—44no—
939#117—44no—
940#117—48no—
941#117—44no—
942C2×C4⋊C4—28no—
943C2×C4⋊C4—42no—
944C2×C4⋊C4—44no—
945C2×C4⋊C4—42no—
946C2×C4⋊C4—44no—
947C2×C4⋊C4—48no—
948C2×C4⋊C4—44no—
949C2×C4⋊C4—44no—
950C2×C4⋊C4—82no—
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2412yes—
1035C2×C22⋊C4—44no—
1036C2×C22⋊C4—48no—
1037C2×C22⋊C4—48no—
1038C2×C22⋊C4—84no—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2411yescharacteristic
1046C2×C22⋊C4C2411yescharacteristic
1047C2×C22⋊C4C2411yescharacteristic
1048C2×C22⋊C4C2411yescharacteristic
1049C2×C22⋊C4C2411yescharacteristic
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2411yescharacteristic
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2412yes—
1090C2×C42—24no—
1091C2×C42—24no—
1092C2×C42—44no—
1093C2×C42C2411yescharacteristic
1094C2×C42C2411yescharacteristic
1095C2×C42C2412yes—
1096C2×C42C2412yes—
1097C2×C42C2412yes—
1098C2×C42C2412yes—
1099C2×C42C2414yes—
1100C2×C42C2411yescharacteristic
1101C2×C42C2411yescharacteristic
1102C2×C42C2411yescharacteristic
1103C2×C42C2411yescharacteristic
1104C2×C42C2411yescharacteristic
1105C2×C42C2412yes—
1106C2×C42C2412yes—
1107C2×C42C2411yescharacteristic
1108C2×C42C2411yescharacteristic
1109C2×C42C2411yescharacteristic
1110C2×C42C2414yes—
1111C2×C42C2411yescharacteristic
1112C2×C42C2414yes—
1113C2×C42C2411yescharacteristic
1114C2×C42C2412yes—
1115C2×C42C2412yes—
1116C2×C42C2414yes—
1117C2×C42C2414yes—
1118C2×C42C2414yes—
1119C2×C42C2411yescharacteristic
1120#95C2412yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2411yescharacteristic
1133#95C2411yescharacteristic
1134#95C2412yes—
1135#95C2411yescharacteristic
1136#95C2411yescharacteristic
1137#95C2411yescharacteristic
1138#95C2411yescharacteristic
1139#95C2412yes—
1140#95C2414yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2414yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2412yes—
1179#95C2414yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190C24—24no—
1191C24—24no—
1192C24—24no—
1193C24—24no—
1194C24—42no—
1195C24—42no—
1196C24—42no—
1197C24C2512yes—
1198C24C2511yescharacteristic
1199C24C2512yes—
1200C24C2511yescharacteristic
1201C2×Q8—22no—
1202C2×Q8—22no—
1203C2×Q8—22no—
1204C2×Q8—22no—
1205C2×Q8—22no—
1206C2×Q8—24no—
1207C2×Q8—22no—
1208C2×Q8—24no—
1209C2×Q8—22no—
1210C2×Q8—22no—
1211C2×Q8—22no—
1212C2×Q8—22no—
1213C2×Q8—24no—
1214C2×Q8—22no—
1215C2×Q8—42no—
1216C2×Q8—42no—
1217C2×Q8—42no—
1218C2×Q8—42no—
1219C2×Q8—42no—
1220C2×Q8—42no—
1221C2×Q8—44no—
1222C2×Q8—44no—
1223C2×Q8—44no—
1224C2×Q8—416no—
1225C2×Q8H(5,𝔽2)14yes—
1226C2×D4—22no—
1227C2×D4—22no—
1228C2×D4—24no—
1229C2×D4—22no—
1230C2×D4—24no—
1231C2×D4—22no—
1232C2×D4—22no—
1233C2×D4—22no—
1234C2×D4—24no—
1235C2×D4—22no—
1236C2×D4—22no—
1237C2×D4—416no—
1238C2×D4—42no—
1239C2×D4—42no—
1240C2×D4—42no—
1241C2×D4—42no—
1242C2×D4—42no—
1243C2×D4—42no—
1244C2×D42−1+414yes—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—24no—
1250C22×C4—22no—
1251C22×C4—28no—
1252C22×C4—28no—
1253C22×C4—24no—
1254C22×C4—24no—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—22no—
1258C22×C4—24no—
1259C22×C4—24no—
1260C22×C4—24no—
1261C22×C4—22no—
1262C22×C4—24no—
1263C22×C4—24no—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—22no—
1267C22×C4—24no—
1268C22×C4—24no—
1269C22×C4—22no—
1270C22×C4—24no—
1271C22×C4—24no—
1272C22×C4—42no—
1273C22×C4—41no—
1274C22×C4—42no—
1275C22×C4—44no—
1276C22×C4—42no—
1277C22×C4—44no—
1278C22×C4—42no—
1279C22×C4—44no—
1280C22×C4—42no—
1281C22×C4—44no—
1282C22×C4—42no—
1283C22×C4—42no—
1284C22×C4—41no—
1285C22×C4—42no—
1286C22×C4—42no—
1287C22×C4—41no—
1288C22×C4—44no—
1289C22×C4—44no—
1290C22×C4—44no—
1291C22×C4—816no—
1292C22×C42−1+414yes—
1293C22×C42−1+414yes—
1294C22×C4C2511yescharacteristic
1295C22×C4C2511yescharacteristic
1296C22×C4C2512yes—
1297C22×C4C2512yes—
1298C22×C4C2511yescharacteristic
1299C22×C4C2512yes—
1300C22×C4C2512yes—
1301C22×C4C2514yes—
1302C22×C4C2512yes—
1303C22×C4C2512yes—
1304C22×C4C2512yes—
1305C22×C4C2511yescharacteristic
1306C22×C4C2512yes—
1307C22×C4C2514yes—
1308C22×C4C2514yes—
1309C22×C4C2511yescharacteristic
1310C22×C4C2512yes—
1311C22×C4C2514yes—
1312C22×C4C2512yes—
1313C22×C4C2511yescharacteristic
1314C22×C4C2512yes—
1315C22×C4C2511yescharacteristic
1316C22×C4C2512yes—
1317C22×C4C2512yes—
1318C22×C4C2511yescharacteristic
1319C22×C4C2512yes—
1320C22×C4C2511yescharacteristic
1321C22×C4C2511yescharacteristic
1322C22×C4C2511yescharacteristic
1323C22×C4C2511yescharacteristic
1324C22×C4C2511yescharacteristic
1325C4⋊C4—22no—
1326C4⋊C4—22no—
1327C4⋊C4—24no—
1328C4⋊C4—24no—
1329C4⋊C4—22no—
1330C4⋊C4—22no—
1331C4⋊C4—24no—
1332C4⋊C4—22no—
1333C4⋊C4—24no—
1334C4⋊C4—22no—
1335C4⋊C4—24no—
1336C4⋊C4—24no—
1337C4⋊C4—28no—
1338C4⋊C4—28no—
1339C4⋊C4—24no—
1340C4⋊C4—24no—
1341C4⋊C4—22no—
1342C4⋊C4—24no—
1343C4⋊C4—28no—
1344C4⋊C4—24no—
1345C4⋊C4—24no—
1346C4⋊C4—24no—
1347C4⋊C4—28no—
1348C4⋊C4—24no—
1349C4⋊C4—24no—
1350C4⋊C4—22no—
1351C4⋊C4—22no—
1352C4⋊C4—24no—
1353C4⋊C4—22no—
1354C4⋊C4—22no—
1355C4⋊C4—22no—
1356C4⋊C4—24no—
1357C4⋊C4—24no—
1358C4⋊C4—42no—
1359C4⋊C4—42no—
1360C4⋊C4—42no—
1361C4⋊C4—42no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4—42no—
1368C4⋊C4—42no—
1369C4⋊C4—44no—
1370C4⋊C4—42no—
1371C4⋊C4—42no—
1372C4⋊C4—42no—
1373C4⋊C4—42no—
1374C4⋊C4—44no—
1375C4⋊C4—42no—
1376C4⋊C4—42no—
1377C4⋊C4—41no—
1378C4⋊C4—42no—
1379C4⋊C4—42no—
1380C4⋊C4—42no—
1381C4⋊C4—42no—
1382C4⋊C4—42no—
1383C4⋊C4—44no—
1384C4⋊C4—44no—
1385C4⋊C4—44no—
1386C4⋊C4—44no—
1387C4⋊C4—42no—
1388C4⋊C4—42no—
1389C4⋊C4—42no—
1390C4⋊C4—42no—
1391C4⋊C4—44no—
1392C4⋊C4—44no—
1393C4⋊C4—44no—
1394C4⋊C4—44no—
1395C4⋊C4—44no—
1396C4⋊C4—44no—
1397C4⋊C4—44no—
1398C4⋊C4—42no—
1399C4⋊C4—44no—
1400C4⋊C4—44no—
1401C4⋊C4—44no—
1402C4⋊C4—44no—
1403C4⋊C4—44no—
1404C4⋊C4—44no—
1405C4⋊C4—42no—
1406C4⋊C4—42no—
1407C4⋊C4—44no—
1408C4⋊C4—42no—
1409C22⋊C4—28no—
1410C22⋊C4—22no—
1411C22⋊C4—22no—
1412C22⋊C4—24no—
1413C22⋊C4—24no—
1414C22⋊C4—24no—
1415C22⋊C4—24no—
1416C22⋊C4—24no—
1417C22⋊C4—24no—
1418C22⋊C4—28no—
1419C22⋊C4—22no—
1420C22⋊C4—24no—
1421C22⋊C4—28no—
1422C22⋊C4—24no—
1423C22⋊C4—24no—
1424C22⋊C4—28no—
1425C22⋊C4—24no—
1426C22⋊C4—22no—
1427C22⋊C4—22no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4—42no—
1431C22⋊C4—42no—
1432C22⋊C4—44no—
1433C22⋊C4—44no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C22⋊C4—42no—
1439C22⋊C4—42no—
1440C22⋊C4—42no—
1441C22⋊C4—42no—
1442C22⋊C4—42no—
1443C22⋊C4—44no—
1444C22⋊C4—42no—
1445C22⋊C4—42no—
1446C22⋊C4—41no—
1447C22⋊C4—44no—
1448C22⋊C4—42no—
1449C22⋊C4—42no—
1450C22⋊C4—42no—
1451C22⋊C4—42no—
1452C22⋊C4—42no—
1453C22⋊C4—44no—
1454C22⋊C4—42no—
1455C22⋊C4—42no—
1456C22⋊C4—44no—
1457C22⋊C4—42no—
1458C22⋊C4—44no—
1459C22⋊C4—42no—
1460C42—22no—
1461C42—22no—
1462C42—22no—
1463C42—22no—
1464C42—22no—
1465C42—22no—
1466C42—24no—
1467C42—24no—
1468C42—22no—
1469C42—24no—
1470C42—24no—
1471C42—24no—
1472C42—28no—
1473C42—22no—
1474C42—22no—
1475C42—24no—
1476C42—22no—
1477C42—42no—
1478C42—42no—
1479C42—44no—
1480C42—41no—
1481C42—44no—
1482C42—44no—
1483C42—41no—
1484C42—44no—
1485C42—44no—
1486C42H(5,𝔽2)14yes—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—22no—
1492C23—22no—
1493C23—22no—
1494C23—22no—
1495C23—22no—
1496C23—22no—
1497C23—22no—
1498C23—21no—
1499C23—22no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—22no—
1504C23—21no—
1505C23—22no—
1506C23—22no—
1507C23—22no—
1508C23—21no—
1509C23—22no—
1510C23—21no—
1511C23—48no—
1512C23—48no—
1513C23—48no—
1514C23—48no—
1515C23—84no—
1516C23—84no—
1517C23—84no—
1518C23C2×2−1+414yes—
1519C23C2×2−1+412yes—
1520C23C2×2−1+412yes—
1521C23#58512yes—
1522C23C2611yescharacteristic
1523Q8—28no—
1524Q8—48no—
1525Q8—44no—
1526Q8—44no—
1527Q8—44no—
1528Q8—84no—
1529Q8—84no—
1530Q8—164no—
1531D4—28no—
1532D4—48no—
1533D4—44no—
1534D4—44no—
1535D4—84no—
1536D4—84no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—22no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—22no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—28no—
1546C2×C4—28no—
1547C2×C4—22no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—24no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—21no—
1564C2×C4—22no—
1565C2×C4—24no—
1566C2×C4—24no—
1567C2×C4—24no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—22no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—22no—
1582C2×C4—21no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—24no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—24no—
1593C2×C4—24no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—24no—
1602C2×C4—22no—
1603C2×C4—24no—
1604C2×C4—22no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—21no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—24no—
1613C2×C4—21no—
1614C2×C4—24no—
1615C2×C4—24no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—22no—
1622C2×C4—44no—
1623C2×C4—48no—
1624C2×C4—44no—
1625C2×C4—48no—
1626C2×C4—48no—
1627C2×C4—44no—
1628C2×C4—82no—
1629C2×C4—84no—
1630C2×C4—84no—
1631C2×C4—88no—
1632C2×C4—88no—
1633C2×C4—84no—
1634C2×C4—84no—
1635C2×C4—164no—
1636C2×C4C2×H(5,𝔽2)12yes—
1637C2×C4C2×H(5,𝔽2)14yes—
1638C2×C4C2×H(5,𝔽2)12yes—
1639C2×C4C2×H(5,𝔽2)12yes—
1640C2×C4C2×H(5,𝔽2)12yes—
1641C2×C4C2×2−1+412yes—
1642C2×C4C2×2−1+412yes—
1643C2×C4C2×2−1+412yes—
1644C2×C4C2×2−1+412yes—
1645C2×C4C2×2−1+412yes—
1646C22—22no—
1647C22—22no—
1648C22—22no—
1649C22—22no—
1650C22—22no—
1651C22—22no—
1652C22—24no—
1653C22—24no—
1654C22—24no—
1655C22—42no—
1656C22—42no—
1657C22—42no—
1658C22—42no—
1659C22—42no—
1660C22—41no—
1661C22—41no—
1662C22—42no—
1663C22—41no—
1664C22—42no—
1665C22—41no—
1666C22—42no—
1667C22—41no—
1668C22—42no—
1669C22—41no—
1670C22—42no—
1671C22—41no—
1672C22—42no—
1673C22—816no—
1674C22#355514yes—
1675C22C22×H(5,𝔽2)11yescharacteristic
1676C22C22×H(5,𝔽2)11yescharacteristic
1677C22C22×2−1+411yescharacteristic
1678C22C22×2−1+411yescharacteristic
1679C22C22×2−1+411yescharacteristic
1680C22C2×#58511yescharacteristic
1681C22H(7,𝔽2)11yescharacteristic
1682C4—22no—
1683C4—24no—
1684C4—22no—
1685C4—22no—
1686C4—41no—
1687C4—42no—
1688C4—42no—
1689C4—42no—
1690C4—42no—
1691C4—41no—
1692C4—42no—
1693C4—41no—
1694C4—41no—
1695C4—44no—
1696C4—42no—
1697C4—42no—
1698C4—42no—
1699C4—41no—
1700C4—44no—
1701C4—44no—
1702C4—41no—
1703C4—42no—
1704C4—41no—
1705C4—42no—
1706C4—41no—
1707C4—42no—
1708C4—42no—
1709C4—44no—
1710C4—42no—
1711C4#353614yes—
1712C4#353814yes—
1713C2—24no—
1714C2—44no—
1715C2—81no—
1716C2—82no—
1717C2C2×#353611yescharacteristic
1718C2C2×#353811yescharacteristic
1719C2C2×#355511yescharacteristic
1720C2#6291711yescharacteristic
1721C2#6294511yescharacteristic
1722C2#6295711yescharacteristic
1723C2#6301511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2408C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59655C2semidirect
2. #59424C2semidirect
3. #59321C2semidirect
4. #59258C2semidirect
5. #59014C2semidirect
6. #58282C2semidirect
7. #56455C2semidirect
8. #53122C2semidirect
9. #53020C2semidirect
10. #53010C2semidirect
11. #52994C2semidirect
12. #52473C2semidirect
13. #42859C2semidirect
14. #42803C2semidirect
15. #42750C2semidirect
16. #42494C2semidirect
17. #40735C2semidirect
18. #39751C2semidirect
19. #39598C2semidirect
20. #39379C2semidirect
21. #39154C2semidirect
22. #39125C2semidirect
23. #38977C2semidirect
25. #37663C2semidirect
26. #37637C2semidirect
27. #37622C2semidirect
28. #37504C2semidirect
29. #37477C2semidirect
30. Q8×C22⋊Q8C2semidirect
31. #36189C2semidirect
32. #36154C2semidirect
33. C2×#2538C2semidirect
35. #34691C2semidirect
36. C2×Q82C22semidirect
38. C2×#552C22semidirect
39. C2×#541C22semidirect
40. C2×#533C22semidirect
45. #2859C22semidirect
48. #2857C22semidirect
50. #2841C22semidirect
51. #2841C22semidirect
52. #2841C22semidirect
53. #2839C22semidirect
54. #2838C22semidirect
55. #2836C22semidirect
56. #2836C22semidirect
57. #2836C22semidirect
58. #2831C22semidirect
59. #2831C22semidirect
60. #2827C22semidirect
61. #2823C22semidirect
62. #2820C22semidirect
63. #2814C22semidirect
64. #2805C22semidirect
66. #2791C22semidirect
67. #2788C22semidirect
68. #2787C22semidirect
70. #2786C22semidirect
71. #2765C22semidirect
72. #2755C22semidirect
73. #2755C22semidirect
75. #2744C22semidirect
77. #2739C22semidirect
79. #2729C22semidirect
80. #2726C22semidirect
81. #2725C22semidirect
82. #2725C22semidirect
83. #2725C22semidirect
84. #2721C22semidirect
85. #2720C22semidirect
86. #2716C22semidirect
87. #2715C22semidirect
88. #2707C22semidirect
90. #2704C22semidirect
91. #2704C22semidirect
92. #2704C22semidirect
93. #2702C22semidirect
94. #2698C22semidirect
95. #2695C22semidirect
96. #2690C22semidirect
97. #2690C22semidirect
98. #2689C22semidirect
99. #2683C22semidirect
100. #2674C22semidirect
101. #2664C22semidirect
102. #2664C22semidirect
104. #2659C22semidirect
105. #2655C22semidirect
106. #2652C22semidirect
107. #2647C22semidirect
109. #2646C22semidirect
110. #2645C22semidirect
113. #2637C22semidirect
114. #2629C22semidirect
115. #2629C22semidirect
116. #2629C22semidirect
117. #2629C22semidirect
118. #2628C22semidirect
119. #2628C22semidirect
120. #2625C22semidirect
121. #2625C22semidirect
123. #2621C22semidirect
126. #2584C22semidirect
127. #2584C22semidirect
128. #2582C22semidirect
129. #2582C22semidirect
130. #2582C22semidirect
131. #2570C22semidirect
132. #2567C22semidirect
133. #2567C22semidirect
134. #2565C22semidirect
137. #2552C22semidirect
138. #2552C22semidirect
139. #2550C22semidirect
140. #2550C22semidirect
141. #2547C22semidirect
153. #2538C22semidirect
154. #2536C22semidirect
158. #2511C22semidirect
159. #2511C22semidirect
160. #2508C22semidirect
161. #2508C22semidirect
162. #2507C22semidirect
163. #2506C22semidirect
164. #2506C22semidirect
165. #2506C22semidirect
166. #2506C22semidirect
167. #2503C22semidirect
169. #2497C22semidirect
170. #2496C22semidirect
171. #2496C22semidirect
172. #2494C22semidirect
173. #2492C22semidirect
175. #2489C22semidirect
176. #2489C22semidirect
177. #2488C22semidirect
180. #2485C22semidirect
186. #2475C22semidirect
192. #2465C22semidirect
193. #2462C22semidirect
197. #2453C22semidirect
199. #2451C22semidirect
200. #2451C22semidirect
201. #2451C22semidirect
207. #2446C22semidirect
214. #2442C22semidirect
215. #2442C22semidirect
216. #2441C22semidirect
220. #2440C22semidirect
221. #2440C22semidirect
222. #2438C22semidirect
228. #2429C22semidirect
229. #2429C22semidirect
230. #2429C22semidirect
231. #2429C22semidirect
233. #2423C22semidirect
234. #2423C22semidirect
236. #2421C22semidirect
237. #2421C22semidirect
238. #2421C22semidirect
239. #2421C22semidirect
246. #2417C22semidirect
247. #2415C22semidirect
248. #2415C22semidirect
252. #2399C22semidirect
253. #2396C22semidirect
260. #2360C22semidirect
261. #2355C22semidirect
264. Q8×C4⋊C4C22semidirect
265. Q8×C4⋊C4C22semidirect
266. Q8×C4⋊C4C22semidirect
276. #2323C22semidirect
278. C4×C4⋊Q8C22semidirect
279. C4×C4⋊Q8C22semidirect
285. C4×C22⋊Q8C22semidirect
288. #2295C22semidirect
293. #2285C22semidirect

Maximal subgroups

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

subgroupindex
#596552
#594242
#593212
#592582
#590142
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