Finite Group Databasebeta

← #7679813

Subgroups — #7679813

Order 512.

5041 conjugacy classes of subgroups.

The subgroup lattice has 1760 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59635C214yesmaximal, complemented
2#59634C212yesmaximal, complemented
3#59631C212yesmaximal, complemented
4#59627C212yesmaximal, complemented
5#59593C212yesmaximal, complemented
6#59332C214yesmaximal, complemented
7#45226C212yesmaximal, complemented
8#45225C212yesmaximal, complemented
9#45205C212yesmaximal, complemented
10#45075C212yesmaximal, complemented
11#43602C214yesmaximal, complemented
12#43601C214yesmaximal, complemented
13#39273C212yesmaximal, complemented
14#39272C212yesmaximal, complemented
15#39271C212yesmaximal, complemented
16#39271C212yesmaximal, complemented
17#39203C212yesmaximal, complemented
18#39197C212yesmaximal, complemented
19#36537C212yesmaximal, complemented
20#36454C212yesmaximal, complemented
21#35673C211yesmaximal, characteristic, complemented
22#35649C211yesmaximal, characteristic, complemented
23#35634C211yesmaximal, characteristic
24#35542C211yesmaximal, characteristic, complemented
25#35312C211yesmaximal, characteristic, complemented
26#35307C211yesmaximal, characteristic, complemented
27#35263C211yesmaximal, characteristic, complemented
28C2×#2489C211yesmaximal, characteristic, complemented
29#34742C211yesmaximal, characteristic, complemented
30#34271C211yesmaximal, characteristic, complemented
31#34268C211yesmaximal, characteristic, complemented
32#34217C211yesmaximal, characteristic, complemented
33#34203C211yesmaximal, characteristic, complemented
34#34136C211yesmaximal, characteristic, complemented
35C4×#537C211yesmaximal, characteristic, complemented
36C2×#544C2211yescharacteristic
37C2×#537C2211yescharacteristic
38C2×#536C2211yescharacteristic
39C2×#536C2211yescharacteristic
40C22×#125C2211yescharacteristic
41C2×#525C2211yescharacteristic
42C2×#525C2211yescharacteristic
43C22×C22⋊Q8C2211yescharacteristic
44C2×#519C2211yescharacteristic
45C2×C4×#41C2211yescharacteristic
46C2×C4×#41C2211yescharacteristic
47C22×#117C2211yescharacteristic
48#2862C2212yescomplemented
49#2861C2212yescomplemented
50#2855C2212yes—
51#2855C2212yescomplemented
52#2855C2212yescomplemented
53#2854C2212yes—
54#2808C2214yes—
55#2807C2214yes—
56#2807C2214yescomplemented
57#2803C2214yes—
58#2798C2214yes—
59#2798C2214yescomplemented
60#2797C2214yes—
61#2796C2214yes—
62#2796C2214yes—
63#2796C2214yescomplemented
64#2794C2214yescomplemented
65#2794C2214yescomplemented
66#2773C2214yes—
67#2773C2214yescomplemented
68#2773C2214yescomplemented
69#2773C2214yescomplemented
70#2771C2214yescomplemented
71#2754C2214yes—
72#2754C2214yescomplemented
73#2754C2214yescomplemented
74#2752C2214yes—
75#2751C2214yescomplemented
76#2724C2214yes—
77#2710C2214yes—
78#2642C2212yescomplemented
79#2640C2212yescomplemented
80#2625C2212yes—
81#2625C2212yescomplemented
82#2625C2212yescomplemented
83#2624C2212yes—
84#2602C2214yes—
85#2602C2214yes—
86#2600C2214yes—
87#2597C2214yes—
88#2597C2214yes—
89#2597C2214yes—
90#2596C2214yes—
91#2596C2214yescomplemented
92#2596C2214yescomplemented
93#2595C2214yescomplemented
94#2593C2214yes—
95#2591C2214yes—
96#2589C2214yescomplemented
97#2580C2214yescomplemented
98#2575C2214yes—
99#2575C2214yes—
100#2575C2214yescomplemented
101#2575C2214yescomplemented
102#2575C2214yescomplemented
103#2571C2214yescomplemented
104#2570C2214yescomplemented
105#2570C2214yescomplemented
106#2570C2214yescomplemented
107#2563C2212yes—
108#2562C2212yes—
109#2562C2212yes—
110#2557C2214yes—
111#2547C2212yes—
112#2542C2212yes—
113#2542C2212yes—
114#2542C2212yes—
115#2542C2212yes—
116#2540C2212yes—
117#2540C2212yes—
118#2540C2212yes—
119#2540C2212yes—
120#2539C2214yes—
121#2517C2214yes—
122#2517C2214yescomplemented
123#2517C2214yescomplemented
124#2516C2214yes—
125#2516C2214yes—
126#2516C2214yescomplemented
127#2513C2214yes—
128#2513C2214yes—
129#2513C2214yescomplemented
130#2513C2214yescomplemented
131#2511C2214yescomplemented
132#2504C2214yes—
133#2501C2214yes—
134#2498C2214yes—
135#2498C2214yes—
136#2498C2214yes—
137#2492C2212yes—
138#2492C2212yescomplemented
139#2492C2212yescomplemented
140#2491C2212yes—
141#2490C2212yes—
142#2490C2212yescomplemented
143#2490C2212yescomplemented
144#2490C2212yescomplemented
145#2490C2212yescomplemented
146#2489C2212yes—
147#2489C2212yes—
148#2489C2212yes—
149#2489C2212yes—
150#2489C2212yes—
151#2489C2212yes—
152#2489C2212yes—
153#2489C2212yes—
154#2489C2212yes—
155#2489C2212yescomplemented
156#2489C2212yescomplemented
157#2489C2212yescomplemented
158#2489C2212yescomplemented
159#2489C2212yescomplemented
160#2489C2212yescomplemented
161#2488C2214yes—
162#2488C2214yes—
163#2488C2214yes—
164#2487C2212yes—
165#2486C2212yes—
166#2485C2212yes—
167#2485C2212yes—
168#2472C2214yes—
169#2458C2214yes—
170#2448C2212yescomplemented
171#2448C2212yescomplemented
172#2447C2214yes—
173#2447C2212yescomplemented
174#2447C2212yescomplemented
175#2446C2212yescomplemented
176#2446C2212yescomplemented
177#2446C2212yescomplemented
178#2446C2212yescomplemented
179#2423C2211yescharacteristic
180#2423C2211yescharacteristic
181#2423C2212yescomplemented
182#2423C2212yescomplemented
183#2422C2211yescharacteristic
184#2422C2211yescharacteristic
185#2421C2211yescharacteristic
186#2421C2211yescharacteristic
187#2421C2212yescomplemented
188#2421C2212yescomplemented
189#2420C2211yescharacteristic
190#2420C2211yescharacteristic
191#2419C2212yes—
192#2419C2214yes—
193#2419C2212yes—
194#2419C2214yes—
195#2418C2212yes—
196#2418C2212yes—
197#2412C2214yes—
198#2395C2212yes—
199#2395C2212yes—
200C2×#400C2212yes—
201C2×#397C2212yes—
202#2374C2214yes—
203#2370C2212yescomplemented
204#2370C2212yescomplemented
205#2370C2212yescomplemented
206#2370C2212yescomplemented
207#2370C2212yescomplemented
208#2370C2212yescomplemented
209#2370C2212yescomplemented
210#2370C2212yescomplemented
211#2369C2212yescomplemented
212#2369C2212yescomplemented
213#2367C2214yes—
214#2367C2212yescomplemented
215#2367C2212yescomplemented
216#2365C2212yescomplemented
217#2365C2212yescomplemented
218#2365C2212yescomplemented
219#2365C2212yescomplemented
220#2363C2211yescharacteristic
221#2363C2211yescharacteristic
222#2362C2211yescharacteristic
223#2362C2211yescharacteristic
224#2362C2212yes—
225#2362C2212yes—
226#2361C2211yescharacteristic
227#2361C2211yescharacteristic
228#2360C2212yes—
229#2360C2211yescharacteristic
230#2360C2211yescharacteristic
231#2360C2212yes—
232#2359C2212yes—
233#2359C2214yes—
234#2359C2212yes—
235#2359C2214yes—
236#2358C2212yes—
237#2358C2212yes—
238#2357C2214yescomplemented
239#2355C2214yescomplemented
240#2345C2214yes—
241#2345C2214yes—
242#2344C2214yes—
243#2342C2214yes—
244#2330C2212yescomplemented
245#2330C2212yescomplemented
246#2329C2214yes—
247#2325C2214yes—
248#2324C2212yescomplemented
249#2324C2212yescomplemented
250#2323C2212yes—
251#2323C2212yes—
252#2323C2212yescomplemented
253#2323C2212yescomplemented
254#2323C2212yescomplemented
255#2323C2212yescomplemented
256#2316C2211yescharacteristic
257#2316C2211yescharacteristic
258#2316C2211yescharacteristic
259#2311C2211yescharacteristic
260#2311C2211yescharacteristic
261#2311C2211yescharacteristic
262#2311C2211yescharacteristic
263#2310C2211yescharacteristic
264C4×#125C2212yescomplemented
265C4×#125C2212yescomplemented
266C4×C22⋊Q8C2212yes—
267C4×C22⋊Q8C2212yes—
268C4×C22⋊Q8C2214yes—
269C4×C22⋊Q8C2212yescomplemented
270C4×C22⋊Q8C2212yescomplemented
271C4×C22⋊Q8C2212yescomplemented
272C4×C22⋊Q8C2212yescomplemented
273C4×#123C2212yes—
274C4×#123C2212yes—
275C4×#121C2214yes—
276C4×#121C2212yescomplemented
277C4×#121C2212yescomplemented
278#2297C2211yescharacteristic
279#2297C2211yescharacteristic
280#2296C2211yescharacteristic
281#2296C2211yescharacteristic
282C2×#391C2211yescharacteristic
283C2×#391C2211yescharacteristic
284#2293C2212yes—
285#2290C2212yes—
286#2290C2212yes—
287C2×#388C2212yes—
288#2285C2211yescharacteristic
289C2×#382C2212yes—
290#2280C2211yescharacteristic
291C2×#380C2211yescharacteristic
292#2274C2211yescharacteristic
293#2274C2211yescharacteristic
294#2274C2211yescharacteristic
295C42×D4C2212yes—
296C4×#117C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C22⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C23×Q8C2311yescharacteristic
302C24×C4C2311yescharacteristic
303#544—28no—
304#537—28no—
305#536—28no—
306#536—44no—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×#125—28no—
312C2×#125C2312yes—
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#125C2312yes—
316C2×#125C2312yes—
317C2×#125C2312yes—
318C2×#124C2312yes—
319C2×#124C2314yes—
320C2×#124C2312yes—
321#525—28no—
322#525—44no—
323C2×#123C2312yes—
324C2×#123C2314yes—
325C2×#123C2314yes—
326C2×#123C2312yes—
327C2×#123C2312yes—
328C2×#123C2312yes—
329C2×#123C2314yes—
330C2×C22⋊Q8—28no—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2314yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2311yescharacteristic
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2311yescharacteristic
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2311yescharacteristic
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2311yescharacteristic
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2314yes—
349C2×#121C2311yescharacteristic
350C2×#121C2311yescharacteristic
351C2×#121C2311yescharacteristic
352C2×#121C2311yescharacteristic
353C2×#120C2312yes—
354C2×#120C2312yes—
355#519—44no—
356C4×#41—44no—
357C4×#41—44no—
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2311yescharacteristic
361C2×C4×Q8C2311yescharacteristic
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2312yes—
364C2×C4×Q8C2314yes—
365C2×C4×Q8C2311yescharacteristic
366C2×C4×Q8C2311yescharacteristic
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2314yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×#117—44no—
383C2×#117C2311yescharacteristic
384C2×#117C2311yescharacteristic
385C2×#117C2311yescharacteristic
386C2×#117C2311yescharacteristic
387C2×#117C2311yescharacteristic
388C2×#117C2312yes—
389C2×#117C2312yes—
390C2×#117C2312yes—
391C2×#117C2314yes—
392C2×#117C2312yes—
393C2×#117C2311yescharacteristic
394C2×#117C2311yescharacteristic
395C2×#117C2311yescharacteristic
396C22×C4⋊C4C2311yescharacteristic
397C22×C4⋊C4C2311yescharacteristic
398C22×C4⋊C4C2312yes—
399C22×C4⋊C4C2312yes—
400C22×C4⋊C4C2312yes—
401C22×C4⋊C4C2311yescharacteristic
402C22×C4⋊C4C2311yescharacteristic
403C22×C4⋊C4C2311yescharacteristic
404C22×C22⋊C4C2312yes—
405C22×C22⋊C4C2312yes—
406C22×C22⋊C4C2311yescharacteristic
407C22×C22⋊C4C2311yescharacteristic
408C22×C22⋊C4C2312yes—
409C22×C42C2311yescharacteristic
410C22×C42C2311yescharacteristic
411C22×C42C2312yes—
412C22×C42C2312yes—
413C22×C42C2312yes—
414C22×C42C2312yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2312yes—
422#400C2314yes—
423#400C2314yes—
424#400C2314yes—
425#400C2314yes—
426#400C2314yes—
427#400C2312yes—
428#400C2314yes—
429#400C2314yes—
430#400C2314yes—
431#400C2314yes—
432#400C2314yes—
433#400C2314yes—
434#399C2314yes—
435#399C2314yes—
436#399C2314yes—
437#399C2314yes—
438#399C2314yes—
439#399C2314yes—
440#399C2314yes—
441#399C2312yes—
442#399C2312yes—
443#399C2314yes—
444#399C2314yes—
445#398C2314yes—
446#398C2312yes—
447#398C2314yes—
448#398C2314yes—
449#398C2314yes—
450#398C2312yes—
451#398C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2312yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2312yes—
472#397C2312yes—
473#397C2312yes—
474#397C2312yes—
475#397C2312yes—
476#397C2314yes—
477#397C2314yes—
478#397C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2312yes—
484#394C2314yes—
485#394C2312yes—
486#394C2312yes—
487#394C2314yes—
488#394C2312yes—
489#393C2314yes—
490#393C2314yes—
491#393C2314yes—
492#393C2314yes—
493#392C2314yes—
494#392C2314yes—
495#391C2312yes—
496#391C2312yes—
497#391C2312yes—
498#391C2312yes—
499#391C2312yes—
500#391C2312yes—
501#391C2312yes—
502#391C2312yes—
503#391C2312yes—
504#391C2314yes—
505#391C2314yes—
506#391C2314yes—
507#391C2312yes—
508#391C2312yes—
509#391C2311yescharacteristic
510#391C2314yes—
511#391C2314yes—
512#391C2311yescharacteristic
513#391C2311yescharacteristic
514#391C2312yes—
515#391C2314yes—
516#391C2312yes—
517#391C2311yescharacteristic
518#391C2312yes—
519#391C2312yes—
520#391C2312yes—
521#390C2314yes—
522#390C2312yes—
523#390C2312yes—
524#390C2312yes—
525#390C2312yes—
526#390C2314yes—
527#390C2314yes—
528#390C2314yes—
529#390C2314yes—
530#390C2314yes—
531#390C2314yes—
532#390C2314yes—
533#390C2311yescharacteristic
534#390C2312yes—
535#390C2312yes—
536#390C2311yescharacteristic
537#390C2311yescharacteristic
538#390C2314yes—
539#390C2311yescharacteristic
540#390C2314yes—
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2314yes—
547#389C2314yes—
548#389C2314yes—
549#389C2314yes—
550#389C2314yes—
551#389C2312yes—
552#389C2314yes—
553#389C2314yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2311yescharacteristic
563#389C2311yescharacteristic
564#389C2314yes—
565#389C2314yes—
566#389C2314yes—
567#389C2314yes—
568#389C2311yescharacteristic
569#389C2311yescharacteristic
570#389C2311yescharacteristic
571#389C2311yescharacteristic
572#389C2311yescharacteristic
573#389C2311yescharacteristic
574#389C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2312yes—
580#388C2312yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2312yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2312yes—
607#388C2312yes—
608#388C2314yes—
609#388C2312yes—
610#388C2314yes—
611#388C2314yes—
612#388C2312yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2312yes—
617#388C2312yes—
618#388C2312yes—
619#388C2312yes—
620#388C2312yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2312yes—
626#387C2312yes—
627#387C2312yes—
628#387C2312yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2312yes—
654#387C2314yes—
655#387C2312yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2312yes—
661#387C2312yes—
662#387C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2312yes—
670#386C2312yes—
671#386C2314yes—
672#386C2312yes—
673#386C2312yes—
674#386C2312yes—
675#386C2312yes—
676#386C2312yes—
677#386C2312yes—
678#386C2312yes—
679#386C2312yes—
680#385C2312yes—
681#385C2314yes—
682#385C2312yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2312yes—
687#385C2314yes—
688#385C2312yes—
689#385C2312yes—
690#385C2312yes—
691#385C2314yes—
692#385C2312yes—
693#385C2314yes—
694#385C2314yes—
695#385C2312yes—
696#385C2312yes—
697#385C2314yes—
698#385C2312yes—
699#384C2314yes—
700#384C2314yes—
701#384C2311yescharacteristic
702#384C2311yescharacteristic
703#382C2311yescharacteristic
704#382C2311yescharacteristic
705#382C2314yes—
706#382C2314yes—
707#382C2314yes—
708#382C2314yes—
709#382C2314yes—
710#382C2314yes—
711#382C2314yes—
712#382C2314yes—
713#382C2314yes—
714#381C2314yes—
715#381C2314yes—
716#381C2312yes—
717#381C2314yes—
718#381C2314yes—
719#381C2312yes—
720#381C2312yes—
721#380C2312yes—
722#380C2311yescharacteristic
723#380C2311yescharacteristic
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2311yescharacteristic
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2312yes—
734#380C2314yes—
735#380C2314yes—
736#380C2314yes—
737#380C2312yes—
738#380C2312yes—
739#380C2311yescharacteristic
740#380C2312yes—
741#380C2312yes—
742#379C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2314yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2312yes—
812#376C2312yes—
813C2×#95C2312yes—
814C2×#95C2312yes—
815C2×#95C2311yescharacteristic
816C2×#95C2311yescharacteristic
817C2×#95C2312yes—
818C2×#95C2312yes—
819C2×#95C2312yes—
820C2×#95C2312yes—
821C43C2312yes—
822C25C2411yescharacteristic
823C2×#41—24no—
824C2×#41—24no—
825C2×#41—24no—
826C2×#41—24no—
827C2×#41—24no—
828C2×#41—24no—
829C22×Q8—24no—
830C22×Q8—24no—
831C22×Q8—24no—
832C22×Q8C2412yes—
833C22×Q8C2412yes—
834C22×Q8C2411yescharacteristic
835C22×Q8C2411yescharacteristic
836C22×Q8C2414yes—
837C22×D4C2412yes—
838C22×D4C2412yes—
839C22×D4C2411yescharacteristic
840C22×D4C2411yescharacteristic
841C22×D4C2412yes—
842C22×D4C2412yes—
843C22×D4C2412yes—
844C22×D4C2414yes—
845C22×D4C2412yes—
846C23×C4—24no—
847C23×C4—24no—
848C23×C4—24no—
849C23×C4C2412yes—
850C23×C4C2411yescharacteristic
851C23×C4C2411yescharacteristic
852C23×C4C2411yescharacteristic
853C23×C4C2411yescharacteristic
854C23×C4C2412yes—
855C23×C4C2412yes—
856C23×C4C2411yescharacteristic
857C23×C4C2411yescharacteristic
858C23×C4C2412yes—
859C23×C4C2411yescharacteristic
860C23×C4C2411yescharacteristic
861C23×C4C2412yes—
862C23×C4C2412yes—
863C23×C4C2411yescharacteristic
864C23×C4C2412yes—
865C23×C4C2412yes—
866C23×C4C2412yes—
867C23×C4C2412yes—
868C23×C4C2412yes—
869C23×C4C2412yes—
870C23×C4C2411yescharacteristic
871C4⋊Q8—28no—
872C4⋊Q8—28no—
873C4⋊Q8—28no—
874C4⋊Q8—44no—
875#125—28no—
876#125—28no—
877#125—28no—
878#125—28no—
879#125—28no—
880#125—28no—
881#124—28no—
882#124—44no—
883#124—48no—
884#123—28no—
885#123—216no—
886#123—44no—
887#123—44no—
888#123—48no—
889#123—44no—
890#123—48no—
891C22⋊Q8—28no—
892C22⋊Q8—28no—
893C22⋊Q8—28no—
894C22⋊Q8—28no—
895C22⋊Q8—24no—
896C22⋊Q8—24no—
897C22⋊Q8—28no—
898C22⋊Q8—28no—
899C22⋊Q8—28no—
900C22⋊Q8—28no—
901C22⋊Q8—216no—
902C22⋊Q8—42no—
903C22⋊Q8—42no—
904C22⋊Q8—44no—
905C22⋊Q8—44no—
906#121—216no—
907#121—24no—
908#121—24no—
909#121—28no—
910#121—28no—
911#121—42no—
912#121—42no—
913#120—28no—
914#120—44no—
915C4×Q8—48no—
916C4×Q8—42no—
917C4×Q8—42no—
918C4×Q8—42no—
919C4×Q8—42no—
920C4×Q8—44no—
921C4×Q8—44no—
922C4×Q8—44no—
923C4×Q8—44no—
924C4×D4—28no—
925C4×D4—28no—
926C4×D4—42no—
927C4×D4—42no—
928C4×D4—42no—
929C4×D4—42no—
930C4×D4—48no—
931C4×D4—44no—
932C4×D4—44no—
933C4×D4—44no—
934C4×D4—44no—
935C4×D4—44no—
936C4×D4—44no—
937C4×D4—44no—
938C4×D4—44no—
939#117—24no—
940#117—24no—
941#117—24no—
942#117—24no—
943#117—24no—
944#117—44no—
945#117—44no—
946#117—44no—
947#117—44no—
948#117—48no—
949#117—42no—
950#117—42no—
951#117#4118yes—
952C2×C4⋊C4—28no—
953C2×C4⋊C4—28no—
954C2×C4⋊C4—28no—
955C2×C4⋊C4—24no—
956C2×C4⋊C4—24no—
957C2×C4⋊C4—42no—
958C2×C4⋊C4—42no—
959C2×C4⋊C4#4118yes—
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C22⋊C4—28no—
1023C2×C22⋊C4—42no—
1024C2×C22⋊C4—42no—
1025C2×C22⋊C4—44no—
1026C2×C22⋊C4—44no—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2411yescharacteristic
1030C2×C22⋊C4C2411yescharacteristic
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2411yescharacteristic
1034C2×C22⋊C4C2411yescharacteristic
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2411yescharacteristic
1051C2×C22⋊C4C2411yescharacteristic
1052C2×C22⋊C4C2411yescharacteristic
1053C2×C22⋊C4C2411yescharacteristic
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2412yes—
1085C2×C42—24no—
1086C2×C42—24no—
1087C2×C42—44no—
1088C2×C42—44no—
1089C2×C42—44no—
1090C2×C42—44no—
1091C2×C42C2412yes—
1092C2×C42C2411yescharacteristic
1093C2×C42C2411yescharacteristic
1094C2×C42C2412yes—
1095C2×C42C2412yes—
1096C2×C42C2412yes—
1097C2×C42C2412yes—
1098C2×C42C2414yes—
1099C2×C42C2411yescharacteristic
1100C2×C42C2411yescharacteristic
1101C2×C42C2411yescharacteristic
1102C2×C42C2411yescharacteristic
1103C2×C42C2411yescharacteristic
1104C2×C42C2411yescharacteristic
1105C2×C42C2412yes—
1106C2×C42C2412yes—
1107C2×C42C2414yes—
1108C2×C42C2414yes—
1109C2×C42C2412yes—
1110C2×C42C2412yes—
1111C2×C42C2412yes—
1112C2×C42C2412yes—
1113C2×C42C2412yes—
1114C2×C42C2412yes—
1115C2×C42C2414yes—
1116C2×C42C2414yes—
1117C2×C42C2414yes—
1118C2×C42C2412yes—
1119C2×C42C2412yes—
1120C2×C42C2414yes—
1121C2×C42C2414yes—
1122C2×C42C2414yes—
1123C2×C42C2414yes—
1124C2×C42C2412yes—
1125#95C2411yescharacteristic
1126#95C2411yescharacteristic
1127#95C2411yescharacteristic
1128#95C2411yescharacteristic
1129#95C2411yescharacteristic
1130#95C2411yescharacteristic
1131#95C2411yescharacteristic
1132#95C2411yescharacteristic
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2412yes—
1193#95C2414yes—
1194#95C2412yes—
1195#95C2414yes—
1196#95C2414yes—
1197C24—22no—
1198C24—22no—
1199C24—22no—
1200C24—22no—
1201C24—41no—
1202C24—41no—
1203C24—41no—
1204C24C2511yescharacteristic
1205C24C2512yes—
1206C24C2512yes—
1207C24C2511yescharacteristic
1208C24C2511yescharacteristic
1209#41—416no—
1210#41—416no—
1211C2×Q8—24no—
1212C2×Q8—24no—
1213C2×Q8—24no—
1214C2×Q8—22no—
1215C2×Q8—22no—
1216C2×Q8—22no—
1217C2×Q8—24no—
1218C2×Q8—22no—
1219C2×Q8—28no—
1220C2×Q8—24no—
1221C2×Q8—22no—
1222C2×Q8—24no—
1223C2×Q8—22no—
1224C2×Q8—44no—
1225C2×Q8—44no—
1226C2×Q8—416no—
1227C2×D4—24no—
1228C2×D4—24no—
1229C2×D4—24no—
1230C2×D4—24no—
1231C2×D4—24no—
1232C2×D4—24no—
1233C2×D4—24no—
1234C2×D4—24no—
1235C2×D4—24no—
1236C2×D4—22no—
1237C2×D4—22no—
1238C2×D4—22no—
1239C2×D4—22no—
1240C2×D4—24no—
1241C2×D4—28no—
1242C2×D4—22no—
1243C2×D4—22no—
1244C2×D4—42no—
1245C2×D4—42no—
1246C2×D4—42no—
1247C2×D4—44no—
1248C2×D4—42no—
1249C2×D4—42no—
1250C2×D4—42no—
1251C2×D4—44no—
1252C2×D4—42no—
1253C2×D4—42no—
1254C22×C4—24no—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—24no—
1258C22×C4—22no—
1259C22×C4—22no—
1260C22×C4—24no—
1261C22×C4—22no—
1262C22×C4—22no—
1263C22×C4—24no—
1264C22×C4—24no—
1265C22×C4—22no—
1266C22×C4—24no—
1267C22×C4—22no—
1268C22×C4—22no—
1269C22×C4—24no—
1270C22×C4—22no—
1271C22×C4—22no—
1272C22×C4—24no—
1273C22×C4—24no—
1274C22×C4—22no—
1275C22×C4—22no—
1276C22×C4—22no—
1277C22×C4—22no—
1278C22×C4—24no—
1279C22×C4—22no—
1280C22×C4—24no—
1281C22×C4—24no—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—22no—
1285C22×C4—22no—
1286C22×C4—24no—
1287C22×C4—24no—
1288C22×C4—42no—
1289C22×C4—42no—
1290C22×C4—41no—
1291C22×C4—42no—
1292C22×C4—42no—
1293C22×C4—42no—
1294C22×C4—42no—
1295C22×C4—42no—
1296C22×C4—42no—
1297C22×C4—42no—
1298C22×C4—41no—
1299C22×C4—41no—
1300C22×C4—42no—
1301C22×C4—42no—
1302C22×C4—41no—
1303C22×C4—42no—
1304C22×C4—42no—
1305C22×C4—42no—
1306C22×C4—42no—
1307C22×C4—42no—
1308C22×C4—41no—
1309C22×C4—41no—
1310C22×C4—42no—
1311C22×C4—42no—
1312C22×C4—42no—
1313C22×C4—42no—
1314C22×C4—42no—
1315C22×C4—41no—
1316C22×C4—416no—
1317C22×C4C2×#4118yes—
1318C22×C4C2×#4114yes—
1319C22×C4C2×#4114yes—
1320C22×C4H(5,𝔽2)14yes—
1321C22×C4C2511yescharacteristic
1322C22×C4C2511yescharacteristic
1323C22×C4C2511yescharacteristic
1324C22×C4C2511yescharacteristic
1325C22×C4C2512yes—
1326C22×C4C2512yes—
1327C22×C4C2511yescharacteristic
1328C22×C4C2511yescharacteristic
1329C22×C4C2514yes—
1330C22×C4C2514yes—
1331C22×C4C2512yes—
1332C22×C4C2512yes—
1333C22×C4C2511yescharacteristic
1334C22×C4C2514yes—
1335C22×C4C2512yes—
1336C22×C4C2512yes—
1337C22×C4C2511yescharacteristic
1338C22×C4C2511yescharacteristic
1339C22×C4C2512yes—
1340C22×C4C2512yes—
1341C22×C4C2512yes—
1342C22×C4C2512yes—
1343C22×C4C2512yes—
1344C22×C4C2512yes—
1345C22×C4C2512yes—
1346C22×C4C2512yes—
1347C22×C4C2514yes—
1348C22×C4C2511yescharacteristic
1349C22×C4C2511yescharacteristic
1350C22×C4C2511yescharacteristic
1351C4⋊C4—28no—
1352C4⋊C4—28no—
1353C4⋊C4—28no—
1354C4⋊C4—28no—
1355C4⋊C4—28no—
1356C4⋊C4—28no—
1357C4⋊C4—24no—
1358C4⋊C4—24no—
1359C4⋊C4—24no—
1360C4⋊C4—24no—
1361C4⋊C4—22no—
1362C4⋊C4—22no—
1363C4⋊C4—24no—
1364C4⋊C4—24no—
1365C4⋊C4—28no—
1366C4⋊C4—28no—
1367C4⋊C4—28no—
1368C4⋊C4—28no—
1369C4⋊C4—28no—
1370C4⋊C4—28no—
1371C4⋊C4—22no—
1372C4⋊C4—22no—
1373C4⋊C4—22no—
1374C4⋊C4—22no—
1375C4⋊C4—22no—
1376C4⋊C4—22no—
1377C4⋊C4—22no—
1378C4⋊C4—22no—
1379C4⋊C4—24no—
1380C4⋊C4—24no—
1381C4⋊C4—42no—
1382C4⋊C4—42no—
1383C4⋊C4—42no—
1384C4⋊C4—42no—
1385C4⋊C4—44no—
1386C4⋊C4—42no—
1387C4⋊C4—42no—
1388C4⋊C4—42no—
1389C4⋊C4—44no—
1390C4⋊C4—42no—
1391C4⋊C4—42no—
1392C4⋊C4—42no—
1393C4⋊C4—42no—
1394C4⋊C4—42no—
1395C4⋊C4—44no—
1396C4⋊C4—44no—
1397C4⋊C4—44no—
1398C4⋊C4—42no—
1399C4⋊C4—42no—
1400C4⋊C4—42no—
1401C4⋊C4—44no—
1402C4⋊C4—44no—
1403C4⋊C4—44no—
1404C4⋊C4—42no—
1405C4⋊C4—42no—
1406C4⋊C4—44no—
1407C4⋊C4—44no—
1408C4⋊C4—42no—
1409C4⋊C4C2×#4118yes—
1410C4⋊C4C2×#4118yes—
1411C4⋊C4C2×#4114yes—
1412C4⋊C4C2×#4114yes—
1413C22⋊C4—24no—
1414C22⋊C4—24no—
1415C22⋊C4—24no—
1416C22⋊C4—24no—
1417C22⋊C4—24no—
1418C22⋊C4—22no—
1419C22⋊C4—22no—
1420C22⋊C4—28no—
1421C22⋊C4—24no—
1422C22⋊C4—28no—
1423C22⋊C4—28no—
1424C22⋊C4—24no—
1425C22⋊C4—24no—
1426C22⋊C4—24no—
1427C22⋊C4—24no—
1428C22⋊C4—28no—
1429C22⋊C4—28no—
1430C22⋊C4—28no—
1431C22⋊C4—28no—
1432C22⋊C4—22no—
1433C22⋊C4—22no—
1434C22⋊C4—41no—
1435C22⋊C4—41no—
1436C22⋊C4—41no—
1437C22⋊C4—44no—
1438C22⋊C4—41no—
1439C22⋊C4—42no—
1440C22⋊C4—42no—
1441C22⋊C4—42no—
1442C22⋊C4—42no—
1443C22⋊C4—42no—
1444C22⋊C4—42no—
1445C22⋊C4—42no—
1446C22⋊C4—44no—
1447C22⋊C4—44no—
1448C22⋊C4—42no—
1449C22⋊C4—42no—
1450C22⋊C4—42no—
1451C22⋊C4—42no—
1452C22⋊C4—42no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4—42no—
1456C22⋊C4—42no—
1457C22⋊C4—42no—
1458C22⋊C4—42no—
1459C22⋊C4—42no—
1460C22⋊C4—42no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
1463C22⋊C4—42no—
1464C22⋊C4—42no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4—42no—
1468C22⋊C4—44no—
1469C22⋊C4—44no—
1470C22⋊C4C2×#4118yes—
1471C42—22no—
1472C42—22no—
1473C42—22no—
1474C42—22no—
1475C42—24no—
1476C42—22no—
1477C42—22no—
1478C42—22no—
1479C42—22no—
1480C42—24no—
1481C42—24no—
1482C42—24no—
1483C42—24no—
1484C42—28no—
1485C42—44no—
1486C42—42no—
1487C42—42no—
1488C42—42no—
1489C42—42no—
1490C42—42no—
1491C42—42no—
1492C42—44no—
1493C42—42no—
1494C42—42no—
1495C42—44no—
1496C42—44no—
1497C42—44no—
1498C42—44no—
1499C42—42no—
1500C42—42no—
1501C42—44no—
1502C42—44no—
1503C42—44no—
1504C42C2×#4118yes—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—22no—
1517C23—21no—
1518C23—22no—
1519C23—22no—
1520C23—22no—
1521C23—21no—
1522C23—22no—
1523C23—22no—
1524C23—21no—
1525C23—21no—
1526C23—22no—
1527C23—22no—
1528C23—22no—
1529C23—22no—
1530C23—22no—
1531C23—22no—
1532C23—21no—
1533C23—22no—
1534C23—22no—
1535C23—21no—
1536C23—44no—
1537C23—44no—
1538C23—44no—
1539C23—44no—
1540C23—82no—
1541C23—82no—
1542C23—82no—
1543C23C22×#4112yes—
1544C23C22×#4112yes—
1545C23C2×H(5,𝔽2)12yes—
1546C23#58512yes—
1547C23C2611yescharacteristic
1548Q8—48no—
1549Q8—48no—
1550Q8—44no—
1551Q8—44no—
1552Q8—88no—
1553D4—48no—
1554D4—48no—
1555D4—48no—
1556D4—44no—
1557D4—44no—
1558D4—88no—
1559D4—84no—
1560D4—84no—
1561D4—84no—
1562C2×C4—21no—
1563C2×C4—24no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—24no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—24no—
1582C2×C4—24no—
1583C2×C4—24no—
1584C2×C4—24no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—22no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—21no—
1600C2×C4—22no—
1601C2×C4—24no—
1602C2×C4—22no—
1603C2×C4—21no—
1604C2×C4—24no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—24no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—24no—
1618C2×C4—22no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—24no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—22no—
1638C2×C4—21no—
1639C2×C4—22no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—48no—
1643C2×C4—44no—
1644C2×C4—44no—
1645C2×C4—48no—
1646C2×C4—44no—
1647C2×C4—44no—
1648C2×C4—44no—
1649C2×C4—44no—
1650C2×C4—48no—
1651C2×C4—48no—
1652C2×C4—84no—
1653C2×C4—84no—
1654C2×C4—82no—
1655C2×C4—82no—
1656C2×C4—84no—
1657C2×C4—84no—
1658C2×C4—84no—
1659C2×C4—82no—
1660C2×C4—84no—
1661C2×C4—84no—
1662C2×C4—84no—
1663C2×C4#559116yes—
1664C2×C4C22×#4114yes—
1665C2×C4C22×#4114yes—
1666C2×C4C22×#4118yes—
1667C2×C4C22×#4112yes—
1668C2×C4C22×#4112yes—
1669C2×C4C22×#4112yes—
1670C2×C4C22×#4112yes—
1671C2×C4C2×H(5,𝔽2)12yes—
1672C2×C4C2×H(5,𝔽2)12yes—
1673C2×C4#58512yes—
1674C22—22no—
1675C22—22no—
1676C22—22no—
1677C22—22no—
1678C22—22no—
1679C22—22no—
1680C22—22no—
1681C22—22no—
1682C22—22no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—42no—
1688C22—42no—
1689C22—41no—
1690C22—42no—
1691C22—42no—
1692C22—41no—
1693C22—42no—
1694C22—42no—
1695C22—41no—
1696C22—41no—
1697C22—42no—
1698C22—42no—
1699C22—42no—
1700C22—42no—
1701C22—42no—
1702C22—42no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—42no—
1707C22—42no—
1708C22—88no—
1709C22C2×#55914yes—
1710C22C23×#4111yescharacteristic
1711C22C23×#4111yescharacteristic
1712C22C22×H(5,𝔽2)11yescharacteristic
1713C22C2×#58511yescharacteristic
1714C22C2×#58511yescharacteristic
1715C222−1+611yescharacteristic
1716C222−1+611yescharacteristic
1717C4—28no—
1718C4—24no—
1719C4—24no—
1720C4—22no—
1721C4—41no—
1722C4—41no—
1723C4—41no—
1724C4—41no—
1725C4—44no—
1726C4—44no—
1727C4—42no—
1728C4—42no—
1729C4—41no—
1730C4—42no—
1731C4—42no—
1732C4—42no—
1733C4—42no—
1734C4—42no—
1735C4—42no—
1736C4—41no—
1737C4—41no—
1738C4—42no—
1739C4—42no—
1740C4—41no—
1741C4—41no—
1742C4—42no—
1743C4—42no—
1744C4—44no—
1745C4C2×#55914yes—
1746C4C2×#55914yes—
1747C2—24no—
1748C2—42no—
1749C2—82no—
1750C2—82no—
1751C2—81no—
1752C2C22×#55911yescharacteristic
1753C2#6281011yescharacteristic
1754C2#6286111yescharacteristic
1755C2#6292711yescharacteristic
1756C2#6292711yescharacteristic
1757C2#6299111yescharacteristic
1758C2#6300511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#35634C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59635C2semidirect
2. #59634C2semidirect
3. #59631C2semidirect
4. #59627C2semidirect
5. #59593C2semidirect
6. #59332C2semidirect
7. #45226C2semidirect
8. #45225C2semidirect
9. #45205C2semidirect
10. #45075C2semidirect
11. #43602C2semidirect
12. #43601C2semidirect
13. #39273C2semidirect
14. #39272C2semidirect
15. #39271C2semidirect
16. #39271C2semidirect
17. #39203C2semidirect
18. #39197C2semidirect
19. #36537C2semidirect
20. #36454C2semidirect
21. #35673C2semidirect
22. #35649C2semidirect
24. #35542C2semidirect
25. #35312C2semidirect
26. #35307C2semidirect
27. #35263C2semidirect
28. C2×#2489C2semidirect
29. #34742C2semidirect
30. #34271C2semidirect
31. #34268C2semidirect
32. #34217C2semidirect
33. #34203C2semidirect
34. #34136C2semidirect
35. C4×#537C2semidirect
48. #2862C22semidirect
49. #2861C22semidirect
51. #2855C22semidirect
52. #2855C22semidirect
56. #2807C22semidirect
59. #2798C22semidirect
63. #2796C22semidirect
64. #2794C22semidirect
65. #2794C22semidirect
67. #2773C22semidirect
68. #2773C22semidirect
69. #2773C22semidirect
70. #2771C22semidirect
72. #2754C22semidirect
73. #2754C22semidirect
75. #2751C22semidirect
78. #2642C22semidirect
79. #2640C22semidirect
81. #2625C22semidirect
82. #2625C22semidirect
91. #2596C22semidirect
92. #2596C22semidirect
93. #2595C22semidirect
96. #2589C22semidirect
97. #2580C22semidirect
100. #2575C22semidirect
101. #2575C22semidirect
102. #2575C22semidirect
103. #2571C22semidirect
104. #2570C22semidirect
105. #2570C22semidirect
106. #2570C22semidirect
122. #2517C22semidirect
123. #2517C22semidirect
126. #2516C22semidirect
129. #2513C22semidirect
130. #2513C22semidirect
131. #2511C22semidirect
138. #2492C22semidirect
139. #2492C22semidirect
142. #2490C22semidirect
143. #2490C22semidirect
144. #2490C22semidirect
145. #2490C22semidirect
155. #2489C22semidirect
156. #2489C22semidirect
157. #2489C22semidirect
158. #2489C22semidirect
159. #2489C22semidirect
160. #2489C22semidirect
170. #2448C22semidirect
171. #2448C22semidirect
173. #2447C22semidirect
174. #2447C22semidirect
175. #2446C22semidirect
176. #2446C22semidirect
177. #2446C22semidirect
178. #2446C22semidirect
181. #2423C22semidirect
182. #2423C22semidirect
187. #2421C22semidirect
188. #2421C22semidirect
203. #2370C22semidirect
204. #2370C22semidirect
205. #2370C22semidirect
206. #2370C22semidirect
207. #2370C22semidirect
208. #2370C22semidirect
209. #2370C22semidirect
210. #2370C22semidirect
211. #2369C22semidirect
212. #2369C22semidirect
214. #2367C22semidirect
215. #2367C22semidirect
216. #2365C22semidirect
217. #2365C22semidirect
218. #2365C22semidirect
219. #2365C22semidirect
238. #2357C22semidirect
239. #2355C22semidirect
244. #2330C22semidirect
245. #2330C22semidirect
248. #2324C22semidirect
249. #2324C22semidirect
252. #2323C22semidirect
253. #2323C22semidirect
254. #2323C22semidirect
255. #2323C22semidirect
264. C4×#125C22semidirect
265. C4×#125C22semidirect
269. C4×C22⋊Q8C22semidirect
270. C4×C22⋊Q8C22semidirect
271. C4×C22⋊Q8C22semidirect
272. C4×C22⋊Q8C22semidirect
276. C4×#121C22semidirect
277. C4×#121C22semidirect

Maximal subgroups

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

subgroupindex
#596352
#596342
#596312
#596272
#595932
#593322
#452262
#452252
#452052
#450752
#436022
#436012
#392732
#392722
#392712
#392032
#391972
#365372
#364542
#356732
#356492
#356342
#355422
#353122
#353072
#352632
C2×#24892
#347422
#342712
#342682
#342172
#342032
#341362
C4×#5372