Finite Group Databasebeta

← #7652130

Subgroups — #7652130

Order 512.

5431 conjugacy classes of subgroups.

The subgroup lattice has 1944 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42771C212yesmaximal, complemented
2#42690C212yesmaximal, complemented
3#42608C212yesmaximal, complemented
4#42570C212yesmaximal, complemented
5#42557C212yesmaximal, complemented
6#42510C212yesmaximal, complemented
7#42508C212yesmaximal, complemented
8#42508C212yesmaximal, complemented
9#41555C214yesmaximal, complemented
10#40846C214yesmaximal, complemented
11#40150C212yesmaximal, complemented
12#40046C212yesmaximal, complemented
13#39998C212yesmaximal, complemented
14#39996C212yesmaximal, complemented
15#39664C212yesmaximal, complemented
16#39634C212yesmaximal, complemented
17#39220C212yesmaximal, complemented
18#39191C212yesmaximal, complemented
19#38543C214yesmaximal, complemented
20#38510C214yesmaximal, complemented
21#35564C211yesmaximal, characteristic, complemented
22#35518C211yesmaximal, characteristic, complemented
23#35518C211yesmaximal, characteristic, complemented
24#35518C211yesmaximal, characteristic, complemented
25#35517C211yesmaximal, characteristic, complemented
26#35516C211yesmaximal, characteristic, complemented
27#35265C211yesmaximal, characteristic, complemented
28#35263C211yesmaximal, characteristic, complemented
29#35223C211yesmaximal, characteristic, complemented
30#34936C211yesmaximal, characteristic, complemented
31C2×#2487C211yesmaximal, characteristic, complemented
32#34737C211yesmaximal, characteristic, complemented
33#34253C211yesmaximal, characteristic, complemented
34#34202C211yesmaximal, characteristic, complemented
35#34200C211yesmaximal, characteristic, complemented
36C2×#537C2211yescharacteristic
37C2×#537C2211yescharacteristic
38C2×#532C2211yescharacteristic
39C2×#525C2211yescharacteristic
40C2×#525C2211yescharacteristic
41C2×#525C2211yescharacteristic
42C2×#525C2211yescharacteristic
43C2×#525C2211yescharacteristic
44C2×#525C2211yescharacteristic
45C2×#520C2211yescharacteristic
46C2×#520C2211yescharacteristic
47C2×#520C2211yescharacteristic
48C22×C4×D4C2211yescharacteristic
49C22×#117C2211yescharacteristic
50C23×C4⋊C4C2211yescharacteristic
51#2864C2212yescomplemented
52#2859C2212yescomplemented
53#2855C2212yescomplemented
54#2854C2212yescomplemented
55#2847C2214yes—
56#2837C2214yescomplemented
57#2837C2214yescomplemented
58#2836C2214yescomplemented
59#2829C2214yescomplemented
60#2797C2214yescomplemented
61#2793C2214yescomplemented
62#2791C2214yescomplemented
63#2786C2214yescomplemented
64#2780C2214yes—
65#2780C2214yescomplemented
66#2780C2214yescomplemented
67#2780C2214yescomplemented
68#2777C2214yescomplemented
69#2773C2214yescomplemented
70#2768C2214yescomplemented
71#2756C2214yes—
72#2753C2214yes—
73#2753C2214yescomplemented
74#2753C2214yescomplemented
75#2752C2214yescomplemented
76#2749C2214yes—
77#2748C2214yescomplemented
78#2748C2214yescomplemented
79#2743C2214yescomplemented
80#2743C2214yescomplemented
81#2740C2214yescomplemented
82#2738C2214yescomplemented
83#2711C2214yescomplemented
84#2711C2214yescomplemented
85#2709C2214yes—
86#2706C2214yescomplemented
87#2688C2214yes—
88#2688C2214yes—
89#2673C2214yes—
90#2671C2214yescomplemented
91#2671C2214yescomplemented
92#2667C2214yescomplemented
93#2654C2214yescomplemented
94#2651C2214yescomplemented
95#2649C2214yescomplemented
96#2649C2214yescomplemented
97#2648C2214yes—
98#2648C2214yescomplemented
99#2647C2212yescomplemented
100#2647C2212yescomplemented
101#2647C2214yescomplemented
102#2635C2214yes—
103#2635C2214yescomplemented
104#2630C2214yescomplemented
105#2625C2212yescomplemented
106#2624C2214yescomplemented
107#2624C2212yescomplemented
108#2618C2214yes—
109#2543C2214yes—
110#2542C2211yescharacteristic
111#2542C2211yescharacteristic
112#2541C2211yescharacteristic
113#2541C2211yescharacteristic
114#2540C2211yescharacteristic
115#2540C2211yescharacteristic
116#2540C2211yescharacteristic
117#2540C2211yescharacteristic
118#2539C2212yes—
119#2539C2212yes—
120#2538C2212yescomplemented
121#2538C2212yescomplemented
122#2538C2212yescomplemented
123#2537C2212yescomplemented
124#2537C2212yescomplemented
125#2537C2212yescomplemented
126#2536C2212yescomplemented
127#2536C2212yescomplemented
128#2536C2212yescomplemented
129#2535C2212yescomplemented
130#2535C2212yescomplemented
131#2535C2212yescomplemented
132#2531C2214yes—
133#2526C2214yescomplemented
134#2522C2214yescomplemented
135#2509C2212yescomplemented
136#2508C2212yescomplemented
137#2507C2212yescomplemented
138#2506C2212yescomplemented
139#2505C2214yes—
140#2501C2212yes—
141#2498C2214yes—
142#2497C2214yescomplemented
143#2487C2212yes—
144#2487C2212yes—
145#2487C2212yes—
146#2487C2212yes—
147#2487C2212yes—
148#2487C2212yes—
149#2487C2212yes—
150#2487C2212yes—
151#2487C2212yescomplemented
152#2487C2212yescomplemented
153#2487C2212yescomplemented
154#2486C2212yescomplemented
155#2486C2212yescomplemented
156#2486C2212yescomplemented
157#2485C2212yescomplemented
158#2485C2212yescomplemented
159#2485C2212yescomplemented
160#2485C2212yescomplemented
161#2485C2212yescomplemented
162#2485C2212yescomplemented
163#2476C2214yescomplemented
164#2473C2214yes—
165#2471C2214yescomplemented
166#2464C2214yes—
167#2464C2214yescomplemented
168#2457C2214yes—
169#2454C2214yescomplemented
170#2454C2214yescomplemented
171#2448C2212yescomplemented
172#2447C2212yescomplemented
173#2446C2212yescomplemented
174#2445C2212yescomplemented
175#2444C2214yes—
176#2443C2214yes—
177#2433C2212yes—
178#2429C2212yescomplemented
179#2428C2214yes—
180#2428C2212yescomplemented
181#2427C2212yescomplemented
182#2426C2212yescomplemented
183#2425C2214yes—
184#2425C2214yes—
185#2425C2214yes—
186#2424C2214yes—
187#2424C2214yes—
188#2424C2214yes—
189#2423C2212yescomplemented
190#2422C2212yescomplemented
191#2421C2212yescomplemented
192#2420C2212yescomplemented
193#2419C2214yes—
194#2418C2214yes—
195#2417C2211yescharacteristic
196#2417C2211yescharacteristic
197#2417C2212yescomplemented
198#2417C2212yescomplemented
199#2417C2212yescomplemented
200#2417C2212yescomplemented
201#2417C2212yescomplemented
202#2417C2212yescomplemented
203#2417C2212yescomplemented
204#2417C2212yescomplemented
205#2416C2211yescharacteristic
206#2416C2211yescharacteristic
207#2416C2214yes—
208#2416C2212yescomplemented
209#2416C2212yescomplemented
210#2416C2212yescomplemented
211#2416C2212yescomplemented
212#2416C2212yescomplemented
213#2416C2212yescomplemented
214#2416C2212yescomplemented
215#2416C2212yescomplemented
216#2415C2211yescharacteristic
217#2415C2211yescharacteristic
218#2415C2212yescomplemented
219#2415C2212yescomplemented
220#2415C2212yescomplemented
221#2415C2212yescomplemented
222#2414C2211yescharacteristic
223#2414C2211yescharacteristic
224#2414C2212yescomplemented
225#2414C2212yescomplemented
226#2414C2212yescomplemented
227#2414C2212yescomplemented
228#2413C2212yes—
229#2412C2214yes—
230#2412C2212yes—
231#2411C2212yes—
232#2410C2212yes—
233#2397C2212yes—
234#2397C2212yes—
235C2×#400C2212yes—
236C2×#399C2212yes—
237#2392C2212yes—
238#2392C2212yes—
239#2361C2212yescomplemented
240#2361C2212yescomplemented
241#2360C2212yescomplemented
242#2360C2212yescomplemented
243#2359C2214yes—
244#2358C2214yes—
245#2354C2212yescomplemented
246#2353C2214yes—
247#2352C2214yes—
248#2352C2212yescomplemented
249#2352C2212yescomplemented
250#2352C2212yescomplemented
251#2352C2212yescomplemented
252D4×C4⋊C4C2212yescomplemented
253D4×C4⋊C4C2212yescomplemented
254D4×C4⋊C4C2212yescomplemented
255#2347C2212yescomplemented
256#2346C2212yescomplemented
257#2345C2212yescomplemented
258#2344C2212yescomplemented
259#2335C2214yescomplemented
260#2333C2214yes—
261#2328C2214yes—
262#2324C2214yescomplemented
263#2324C2212yescomplemented
264#2323C2212yescomplemented
265#2322C2214yes—
266#2320C2212yescomplemented
267#2319C2212yescomplemented
268#2317C2211yescharacteristic
269#2317C2211yescharacteristic
270#2317C2211yescharacteristic
271#2316C2211yescharacteristic
272#2316C2211yescharacteristic
273#2311C2211yescharacteristic
274#2311C2211yescharacteristic
275#2311C2211yescharacteristic
276#2311C2211yescharacteristic
277#2311C2211yescharacteristic
278C4×#127C2212yes—
279C4×#127C2212yes—
280C4×C22⋊Q8C2212yescomplemented
281C4×#121C2212yes—
282C4×#121C2212yes—
283C4×#121C2212yescomplemented
284C4×#120C2214yes—
285#2297C2211yescharacteristic
286#2296C2211yescharacteristic
287#2295C2212yescomplemented
288#2293C2212yescomplemented
289C2×#389C2211yescharacteristic
290C2×#389C2211yescharacteristic
291C2×#386C2212yes—
292C2×#385C2212yes—
293#2280C2211yescharacteristic
294C2×#380C2211yescharacteristic
295C2×#380C2211yescharacteristic
296C2×#380C2211yescharacteristic
297#2274C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C22×#41C2311yescharacteristic
302C23×D4C2311yescharacteristic
303C24×C4C2311yescharacteristic
304C24×C4C2311yescharacteristic
305C24×C4C2312yes—
306#537—44no—
307#537—44no—
308#532—44no—
309C2×C4⋊Q8C2311yescharacteristic
310C2×#127C2312yes—
311C2×#127C2312yes—
312C2×#127C2311yescharacteristic
313C2×#125C2314yes—
314C2×#124C2311yescharacteristic
315C2×#124C2311yescharacteristic
316#525—28no—
317#525—28no—
318#525—44no—
319#525—44no—
320#525—44no—
321#525—44no—
322C2×#123C2312yes—
323C2×#123C2312yes—
324C2×#123C2314yes—
325C2×#123C2312yes—
326C2×#123C2312yes—
327C2×#123C2312yes—
328C2×#123C2312yes—
329C2×#123C2314yes—
330C2×#123C2314yes—
331C2×C22⋊Q8C2311yescharacteristic
332C2×C22⋊Q8C2311yescharacteristic
333C2×C22⋊Q8C2311yescharacteristic
334C2×C22⋊Q8C2311yescharacteristic
335C2×C22⋊Q8C2311yescharacteristic
336C2×C22⋊Q8C2311yescharacteristic
337C2×C22⋊Q8C2311yescharacteristic
338C2×C22⋊Q8C2311yescharacteristic
339C2×C22⋊Q8C2311yescharacteristic
340C2×C22⋊Q8C2311yescharacteristic
341C2×C22⋊Q8C2311yescharacteristic
342C2×C22⋊Q8C2311yescharacteristic
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2312yes—
347C2×#121C2311yescharacteristic
348C2×#121C2312yes—
349C2×#121C2311yescharacteristic
350C2×#121C2311yescharacteristic
351C2×#121C2311yescharacteristic
352C2×#121C2314yes—
353C2×#121C2314yes—
354C2×#121C2311yescharacteristic
355C2×#121C2311yescharacteristic
356C2×#121C2312yes—
357C2×#121C2311yescharacteristic
358C2×#121C2311yescharacteristic
359C2×#121C2311yescharacteristic
360C2×#121C2311yescharacteristic
361C2×#121C2311yescharacteristic
362C2×#121C2311yescharacteristic
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2312yes—
368C2×#121C2314yes—
369C2×#121C2312yes—
370C2×#121C2314yes—
371C2×#121C2314yes—
372C2×#121C2314yes—
373C2×#121C2314yes—
374C2×#121C2314yes—
375C2×#120C2312yes—
376C2×#120C2312yes—
377C2×#120C2312yes—
378C2×#120C2312yes—
379C2×#120C2312yes—
380C2×#120C2312yes—
381#520—28no—
382#520—44no—
383#520—44no—
384C2×C4×Q8C2312yes—
385C2×C4×Q8C2312yes—
386C2×C4×Q8C2312yes—
387C2×C4×D4—44no—
388C2×C4×D4C2312yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2314yes—
394C2×C4×D4C2311yescharacteristic
395C2×C4×D4C2311yescharacteristic
396C2×C4×D4C2312yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2314yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2314yes—
404C2×C4×D4C2312yes—
405C2×C4×D4C2311yescharacteristic
406C2×C4×D4C2311yescharacteristic
407C2×C4×D4C2312yes—
408C2×C4×D4C2312yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2311yescharacteristic
411C2×C4×D4C2311yescharacteristic
412C2×C4×D4C2312yes—
413C2×C4×D4C2311yescharacteristic
414C2×C4×D4C2311yescharacteristic
415C2×C4×D4C2312yes—
416C2×C4×D4C2314yes—
417C2×C4×D4C2314yes—
418C2×C4×D4C2314yes—
419C2×#117—44no—
420C2×#117C2311yescharacteristic
421C2×#117C2311yescharacteristic
422C2×#117C2311yescharacteristic
423C2×#117C2311yescharacteristic
424C2×#117C2312yes—
425C2×#117C2312yes—
426C2×#117C2311yescharacteristic
427C2×#117C2312yes—
428C2×#117C2312yes—
429C2×#117C2311yescharacteristic
430C2×#117C2312yes—
431C2×#117C2314yes—
432C2×#117C2311yescharacteristic
433C22×C4⋊C4—44no—
434C22×C4⋊C4C2311yescharacteristic
435C22×C4⋊C4C2311yescharacteristic
436C22×C4⋊C4C2311yescharacteristic
437C22×C4⋊C4C2311yescharacteristic
438C22×C4⋊C4C2312yes—
439C22×C4⋊C4C2312yes—
440C22×C4⋊C4C2311yescharacteristic
441C22×C4⋊C4C2312yes—
442C22×C4⋊C4C2312yes—
443C22×C4⋊C4C2312yes—
444C22×C4⋊C4C2312yes—
445C22×C4⋊C4C2311yescharacteristic
446C22×C4⋊C4C2312yes—
447C22×C4⋊C4C2312yes—
448C22×C4⋊C4C2311yescharacteristic
449C22×C4⋊C4C2312yes—
450C22×C4⋊C4C2312yes—
451C22×C22⋊C4C2312yes—
452C22×C22⋊C4C2311yescharacteristic
453C22×C22⋊C4C2311yescharacteristic
454C22×C22⋊C4C2312yes—
455C22×C22⋊C4C2312yes—
456C22×C22⋊C4C2312yes—
457C22×C42C2311yescharacteristic
458C22×C42C2312yes—
459#400C2314yes—
460#400C2314yes—
461#400C2314yes—
462#400C2314yes—
463#400C2314yes—
464#400C2314yes—
465#400C2314yes—
466#400C2314yes—
467#400C2314yes—
468#400C2314yes—
469#400C2314yes—
470#399C2314yes—
471#399C2312yes—
472#399C2312yes—
473#399C2312yes—
474#399C2314yes—
475#399C2314yes—
476#399C2314yes—
477#399C2314yes—
478#399C2314yes—
479#399C2314yes—
480#399C2312yes—
481#399C2312yes—
482#399C2312yes—
483#399C2312yes—
484#399C2312yes—
485#398C2314yes—
486#398C2312yes—
487#398C2314yes—
488#398C2314yes—
489#398C2314yes—
490#398C2314yes—
491#398C2314yes—
492#398C2314yes—
493#398C2314yes—
494#398C2314yes—
495#398C2314yes—
496#398C2314yes—
497#398C2312yes—
498#398C2314yes—
499#398C2314yes—
500#397C2312yes—
501#397C2314yes—
502#397C2314yes—
503#397C2314yes—
504#397C2314yes—
505#397C2314yes—
506#397C2314yes—
507#397C2314yes—
508#397C2314yes—
509#397C2314yes—
510#397C2314yes—
511#397C2312yes—
512#397C2314yes—
513#397C2314yes—
514#397C2314yes—
515#396C2314yes—
516#396C2314yes—
517#396C2314yes—
518#396C2314yes—
519#396C2312yes—
520#396C2314yes—
521#396C2314yes—
522#396C2314yes—
523#396C2312yes—
524#396C2312yes—
525#396C2312yes—
526#396C2314yes—
527#396C2314yes—
528#396C2314yes—
529#396C2314yes—
530#396C2314yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#394C2314yes—
536#394C2312yes—
537#394C2314yes—
538#394C2314yes—
539#394C2314yes—
540#394C2314yes—
541#394C2314yes—
542#394C2314yes—
543#394C2314yes—
544#394C2312yes—
545#394C2314yes—
546#394C2314yes—
547#394C2314yes—
548#394C2314yes—
549#394C2312yes—
550#394C2312yes—
551#394C2312yes—
552#394C2312yes—
553#394C2314yes—
554#394C2314yes—
555#394C2314yes—
556#394C2314yes—
557#392C2312yes—
558#392C2312yes—
559#392C2312yes—
560#392C2312yes—
561#392C2314yes—
562#392C2312yes—
563#392C2314yes—
564#392C2314yes—
565#392C2312yes—
566#392C2312yes—
567#392C2314yes—
568#392C2312yes—
569#392C2312yes—
570#392C2312yes—
571#391C2312yes—
572#391C2312yes—
573#391C2312yes—
574#391C2312yes—
575#391C2312yes—
576#391C2311yescharacteristic
577#391C2311yescharacteristic
578#390C2312yes—
579#390C2312yes—
580#390C2312yes—
581#390C2312yes—
582#390C2312yes—
583#390C2312yes—
584#390C2312yes—
585#390C2312yes—
586#390C2312yes—
587#390C2312yes—
588#390C2312yes—
589#390C2312yes—
590#390C2312yes—
591#390C2312yes—
592#390C2312yes—
593#390C2312yes—
594#390C2312yes—
595#390C2314yes—
596#390C2311yescharacteristic
597#390C2312yes—
598#390C2314yes—
599#390C2314yes—
600#390C2314yes—
601#390C2314yes—
602#390C2312yes—
603#390C2311yescharacteristic
604#389C2312yes—
605#389C2312yes—
606#389C2312yes—
607#389C2312yes—
608#389C2312yes—
609#389C2312yes—
610#389C2312yes—
611#389C2312yes—
612#389C2312yes—
613#389C2312yes—
614#389C2312yes—
615#389C2312yes—
616#389C2312yes—
617#389C2312yes—
618#389C2312yes—
619#389C2314yes—
620#389C2314yes—
621#389C2314yes—
622#389C2314yes—
623#389C2314yes—
624#389C2312yes—
625#389C2312yes—
626#389C2311yescharacteristic
627#389C2312yes—
628#389C2314yes—
629#389C2311yescharacteristic
630#389C2311yescharacteristic
631#389C2311yescharacteristic
632#389C2312yes—
633#389C2314yes—
634#389C2314yes—
635#389C2312yes—
636#389C2314yes—
637#389C2312yes—
638#389C2312yes—
639#389C2312yes—
640#389C2312yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2312yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2312yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2312yes—
668#388C2312yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#387C2314yes—
682#387C2314yes—
683#387C2314yes—
684#387C2314yes—
685#387C2314yes—
686#387C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2312yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2312yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2312yes—
712#386C2314yes—
713#386C2312yes—
714#386C2314yes—
715#386C2314yes—
716#386C2314yes—
717#386C2312yes—
718#386C2312yes—
719#386C2314yes—
720#386C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2314yes—
724#385C2314yes—
725#385C2314yes—
726#385C2314yes—
727#385C2314yes—
728#385C2314yes—
729#385C2314yes—
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#385C2314yes—
735#385C2312yes—
736#385C2312yes—
737#385C2314yes—
738#385C2314yes—
739#384C2312yes—
740#384C2312yes—
741#384C2312yes—
742#384C2312yes—
743#384C2312yes—
744#383C2314yes—
745#382C2312yes—
746#382C2312yes—
747#382C2312yes—
748#382C2314yes—
749#382C2314yes—
750#381C2314yes—
751#381C2312yes—
752#381C2314yes—
753#381C2314yes—
754#381C2314yes—
755#380C2312yes—
756#380C2312yes—
757#380C2312yes—
758#380C2312yes—
759#380C2312yes—
760#380C2312yes—
761#380C2312yes—
762#380C2312yes—
763#380C2312yes—
764#380C2312yes—
765#380C2314yes—
766#380C2314yes—
767#380C2314yes—
768#380C2312yes—
769#380C2314yes—
770#380C2314yes—
771#380C2314yes—
772#380C2314yes—
773#380C2312yes—
774#380C2311yescharacteristic
775#380C2311yescharacteristic
776#380C2312yes—
777#380C2311yescharacteristic
778#380C2311yescharacteristic
779#380C2312yes—
780#380C2312yes—
781#380C2314yes—
782#380C2314yes—
783#380C2312yes—
784#380C2312yes—
785#380C2312yes—
786#380C2312yes—
787#380C2312yes—
788#380C2312yes—
789#380C2312yes—
790#380C2312yes—
791#380C2312yes—
792#379C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2314yes—
798C4×C4⋊C4C2314yes—
799C4×C4⋊C4C2311yescharacteristic
800C4×C4⋊C4C2311yescharacteristic
801C4×C4⋊C4C2311yescharacteristic
802C4×C4⋊C4C2311yescharacteristic
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2312yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2314yes—
809C4×C22⋊C4C2314yes—
810C4×C22⋊C4C2314yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2312yes—
817#376C2312yes—
818#376C2314yes—
819C2×#95C2312yes—
820C2×#95C2312yes—
821C2×#95C2312yes—
822C2×#95C2312yes—
823C2×#95C2312yes—
824C43C2312yes—
825C25C2411yescharacteristic
826C25C2411yescharacteristic
827C2×#41—24no—
828C2×#41—24no—
829C2×#41—24no—
830C2×#41—24no—
831C2×#41—24no—
832C2×#41—24no—
833C2×#41—24no—
834C2×#41—24no—
835C2×#41—24no—
836C22×Q8C2411yescharacteristic
837C22×Q8C2411yescharacteristic
838C22×Q8C2411yescharacteristic
839C22×D4—24no—
840C22×D4—42no—
841C22×D4—42no—
842C22×D4C2412yes—
843C22×D4C2412yes—
844C22×D4C2412yes—
845C22×D4C2411yescharacteristic
846C22×D4C2411yescharacteristic
847C22×D4C2411yescharacteristic
848C22×D4C2412yes—
849C22×D4C2412yes—
850C22×D4C2412yes—
851C22×D4C2411yescharacteristic
852C22×D4C2411yescharacteristic
853C22×D4C2411yescharacteristic
854C22×D4C2412yes—
855C22×D4C2412yes—
856C22×D4C2412yes—
857C22×D4C2412yes—
858C22×D4C2412yes—
859C22×D4C2412yes—
860C22×D4C2412yes—
861C22×D4C2412yes—
862C22×D4C2412yes—
863C22×D4C2412yes—
864C22×D4C2412yes—
865C22×D4C2414yes—
866C22×D4C2414yes—
867C22×D4C2411yescharacteristic
868C23×C4—24no—
869C23×C4—24no—
870C23×C4—24no—
871C23×C4—24no—
872C23×C4—24no—
873C23×C4—24no—
874C23×C4—44no—
875C23×C4—82no—
876C23×C4—82no—
877C23×C4C2411yescharacteristic
878C23×C4C2411yescharacteristic
879C23×C4C2411yescharacteristic
880C23×C4C2411yescharacteristic
881C23×C4C2411yescharacteristic
882C23×C4C2411yescharacteristic
883C23×C4C2411yescharacteristic
884C23×C4C2412yes—
885C23×C4C2412yes—
886C23×C4C2412yes—
887C23×C4C2411yescharacteristic
888C23×C4C2411yescharacteristic
889C23×C4C2411yescharacteristic
890C23×C4C2411yescharacteristic
891C23×C4C2411yescharacteristic
892C23×C4C2412yes—
893C23×C4C2412yes—
894C23×C4C2412yes—
895C23×C4C2412yes—
896C23×C4C2412yes—
897C23×C4C2414yes—
898C23×C4C2412yes—
899C23×C4C2414yes—
900C23×C4C2414yes—
901C23×C4C2414yes—
902C23×C4C2414yes—
903C23×C4C2411yescharacteristic
904C4⋊Q8—42no—
905#127—28no—
906#127—42no—
907#127—44no—
908#125—84no—
909#124—42no—
910#124—42no—
911#123—28no—
912#123—28no—
913#123—48no—
914#123—44no—
915#123—44no—
916#123—44no—
917#123—44no—
918#123—84no—
919#123—84no—
920C22⋊Q8—24no—
921C22⋊Q8—24no—
922C22⋊Q8—24no—
923C22⋊Q8—24no—
924C22⋊Q8—42no—
925C22⋊Q8—42no—
926C22⋊Q8—42no—
927C22⋊Q8—42no—
928C22⋊Q8—42no—
929C22⋊Q8—42no—
930C22⋊Q8—42no—
931C22⋊Q8—42no—
932C22⋊Q8—44no—
933C22⋊Q8—44no—
934C22⋊Q8—44no—
935C22⋊Q8—44no—
936#121—28no—
937#121—24no—
938#121—24no—
939#121—24no—
940#121—24no—
941#121—48no—
942#121—44no—
943#121—42no—
944#121—42no—
945#121—42no—
946#121—42no—
947#121—42no—
948#121—42no—
949#121—42no—
950#121—42no—
951#121—44no—
952#121—44no—
953#121—44no—
954#121—44no—
955#121—44no—
956#121—44no—
957#121—48no—
958#121—48no—
959#121—84no—
960#121—84no—
961#121—84no—
962#121—84no—
963#121—84no—
964#120—28no—
965#120—28no—
966#120—44no—
967#120—44no—
968#120—44no—
969#120—44no—
970C4×Q8—28no—
971C4×Q8—44no—
972C4×Q8—44no—
973C4×D4—216no—
974C4×D4—28no—
975C4×D4—28no—
976C4×D4—28no—
977C4×D4—28no—
978C4×D4—28no—
979C4×D4—44no—
980C4×D4—44no—
981C4×D4—42no—
982C4×D4—42no—
983C4×D4—42no—
984C4×D4—42no—
985C4×D4—42no—
986C4×D4—42no—
987C4×D4—42no—
988C4×D4—42no—
989C4×D4—44no—
990C4×D4—44no—
991C4×D4—44no—
992C4×D4—44no—
993C4×D4—44no—
994C4×D4—44no—
995C4×D4—44no—
996C4×D4—44no—
997C4×D4—44no—
998C4×D4—44no—
999C4×D4—48no—
1000C4×D4—48no—
1001C4×D4—84no—
1002C4×D4—84no—
1003C4×D4—84no—
1004#117—24no—
1005#117—24no—
1006#117—24no—
1007#117—24no—
1008#117—28no—
1009#117—44no—
1010#117—44no—
1011#117—42no—
1012#117—42no—
1013#117—44no—
1014#117—44no—
1015#117—84no—
1016#117#4118yes—
1017C2×C4⋊C4—24no—
1018C2×C4⋊C4—24no—
1019C2×C4⋊C4—24no—
1020C2×C4⋊C4—24no—
1021C2×C4⋊C4—28no—
1022C2×C4⋊C4—44no—
1023C2×C4⋊C4—44no—
1024C2×C4⋊C4—44no—
1025C2×C4⋊C4—44no—
1026C2×C4⋊C4—42no—
1027C2×C4⋊C4—42no—
1028C2×C4⋊C4—44no—
1029C2×C4⋊C4—44no—
1030C2×C4⋊C4—44no—
1031C2×C4⋊C4—42no—
1032C2×C4⋊C4—82no—
1033C2×C4⋊C4—82no—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2411yescharacteristic
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2411yescharacteristic
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2411yescharacteristic
1043C2×C4⋊C4C2411yescharacteristic
1044C2×C4⋊C4C2411yescharacteristic
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2411yescharacteristic
1049C2×C4⋊C4C2411yescharacteristic
1050C2×C4⋊C4C2411yescharacteristic
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2414yes—
1057C2×C4⋊C4C2414yes—
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2414yes—
1061C2×C4⋊C4C2411yescharacteristic
1062C2×C4⋊C4C2411yescharacteristic
1063C2×C4⋊C4C2411yescharacteristic
1064C2×C4⋊C4C2411yescharacteristic
1065C2×C4⋊C4C2414yes—
1066C2×C4⋊C4C2414yes—
1067C2×C4⋊C4C2414yes—
1068C2×C4⋊C4C2414yes—
1069C2×C4⋊C4C2414yes—
1070C2×C4⋊C4C2414yes—
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2414yes—
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2414yes—
1083C2×C4⋊C4C2414yes—
1084C2×C4⋊C4C2414yes—
1085C2×C4⋊C4C2414yes—
1086C2×C4⋊C4C2414yes—
1087C2×C4⋊C4C2414yes—
1088C2×C4⋊C4C2414yes—
1089C2×C4⋊C4C2414yes—
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2414yes—
1093C2×C4⋊C4C2414yes—
1094C2×C4⋊C4C2412yes—
1095C2×C4⋊C4C2411yescharacteristic
1096C2×C4⋊C4C2411yescharacteristic
1097C2×C22⋊C4—44no—
1098C2×C22⋊C4—44no—
1099C2×C22⋊C4—42no—
1100C2×C22⋊C4—42no—
1101C2×C22⋊C4—82no—
1102C2×C22⋊C4—82no—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2411yescharacteristic
1123C2×C22⋊C4C2411yescharacteristic
1124C2×C22⋊C4C2411yescharacteristic
1125C2×C22⋊C4C2411yescharacteristic
1126C2×C22⋊C4C2411yescharacteristic
1127C2×C22⋊C4C2411yescharacteristic
1128C2×C22⋊C4C2411yescharacteristic
1129C2×C22⋊C4C2411yescharacteristic
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2412yes—
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2414yes—
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2414yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2414yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2414yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2414yes—
1175C2×C22⋊C4C2414yes—
1176C2×C22⋊C4C2412yes—
1177C2×C42—24no—
1178C2×C42—44no—
1179C2×C42C2412yes—
1180C2×C42C2412yes—
1181C2×C42C2412yes—
1182C2×C42C2412yes—
1183C2×C42C2414yes—
1184C2×C42C2411yescharacteristic
1185C2×C42C2411yescharacteristic
1186C2×C42C2411yescharacteristic
1187C2×C42C2411yescharacteristic
1188C2×C42C2412yes—
1189C2×C42C2412yes—
1190C2×C42C2412yes—
1191C2×C42C2412yes—
1192C2×C42C2414yes—
1193C2×C42C2414yes—
1194C2×C42C2414yes—
1195C2×C42C2414yes—
1196C2×C42C2412yes—
1197C2×C42C2412yes—
1198C2×C42C2412yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2414yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2414yes—
1205#95C2414yes—
1206#95C2414yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2414yes—
1215#95C2414yes—
1216#95C2412yes—
1217#95C2414yes—
1218#95C2414yes—
1219#95C2412yes—
1220#95C2412yes—
1221#95C2414yes—
1222#95C2414yes—
1223#95C2412yes—
1224#95C2414yes—
1225#95C2414yes—
1226#95C2412yes—
1227#95C2412yes—
1228#95C2414yes—
1229#95C2414yes—
1230#95C2414yes—
1231#95C2414yes—
1232#95C2412yes—
1233#95C2414yes—
1234#95C2414yes—
1235#95C2412yes—
1236#95C2412yes—
1237#95C2412yes—
1238#95C2412yes—
1239#95C2414yes—
1240#95C2414yes—
1241#95C2414yes—
1242#95C2414yes—
1243#95C2414yes—
1244#95C2414yes—
1245#95C2414yes—
1246#95C2414yes—
1247C24—22no—
1248C24—22no—
1249C24—22no—
1250C24—22no—
1251C24—22no—
1252C24—22no—
1253C24—22no—
1254C24—22no—
1255C24—22no—
1256C24—41no—
1257C24—41no—
1258C24—41no—
1259C24—41no—
1260C24—41no—
1261C24C2511yescharacteristic
1262C24C2512yes—
1263C24C2512yes—
1264C24C2512yes—
1265C24C2511yescharacteristic
1266C24C2511yescharacteristic
1267C24C2511yescharacteristic
1268C24C2511yescharacteristic
1269#41—416no—
1270#41—416no—
1271#41—416no—
1272C2×Q8—22no—
1273C2×Q8—22no—
1274C2×Q8—22no—
1275C2×Q8—22no—
1276C2×Q8—22no—
1277C2×Q8—22no—
1278C2×Q8—22no—
1279C2×Q8—22no—
1280C2×Q8—22no—
1281C2×D4—24no—
1282C2×D4—24no—
1283C2×D4—24no—
1284C2×D4—24no—
1285C2×D4—24no—
1286C2×D4—24no—
1287C2×D4—24no—
1288C2×D4—24no—
1289C2×D4—24no—
1290C2×D4—24no—
1291C2×D4—24no—
1292C2×D4—22no—
1293C2×D4—22no—
1294C2×D4—24no—
1295C2×D4—22no—
1296C2×D4—22no—
1297C2×D4—24no—
1298C2×D4—24no—
1299C2×D4—24no—
1300C2×D4—24no—
1301C2×D4—24no—
1302C2×D4—24no—
1303C2×D4—22no—
1304C2×D4—24no—
1305C2×D4—24no—
1306C2×D4—24no—
1307C2×D4—22no—
1308C2×D4—22no—
1309C2×D4—24no—
1310C2×D4—22no—
1311C2×D4—22no—
1312C2×D4—22no—
1313C2×D4—22no—
1314C2×D4—22no—
1315C2×D4—22no—
1316C2×D4—22no—
1317C2×D4—24no—
1318C2×D4—41no—
1319C2×D4—41no—
1320C2×D4—41no—
1321C2×D4—41no—
1322C2×D4—42no—
1323C2×D4—42no—
1324C2×D4—42no—
1325C2×D4—41no—
1326C2×D4—41no—
1327C2×D4—42no—
1328C2×D4—42no—
1329C2×D4—42no—
1330C2×D4—42no—
1331C2×D4—42no—
1332C2×D4—42no—
1333C2×D4—42no—
1334C2×D4—42no—
1335C2×D4—42no—
1336C2×D4—42no—
1337C2×D4—42no—
1338C2×D4—42no—
1339C2×D4—42no—
1340C2×D4—42no—
1341C2×D4—42no—
1342C2×D4—42no—
1343C2×D4—42no—
1344C2×D4—42no—
1345C2×D4—42no—
1346C2×D4—42no—
1347C2×D4—42no—
1348C2×D4—42no—
1349C2×D4—42no—
1350C2×D4—42no—
1351C2×D4—42no—
1352C2×D4—44no—
1353C2×D4—44no—
1354C2×D4—44no—
1355C2×D4—44no—
1356C2×D4—44no—
1357C2×D4—44no—
1358C2×D4—416no—
1359C2×D42−1+414yes—
1360C22×C4—22no—
1361C22×C4—22no—
1362C22×C4—22no—
1363C22×C4—22no—
1364C22×C4—22no—
1365C22×C4—22no—
1366C22×C4—22no—
1367C22×C4—24no—
1368C22×C4—22no—
1369C22×C4—24no—
1370C22×C4—24no—
1371C22×C4—24no—
1372C22×C4—24no—
1373C22×C4—24no—
1374C22×C4—22no—
1375C22×C4—22no—
1376C22×C4—22no—
1377C22×C4—22no—
1378C22×C4—24no—
1379C22×C4—24no—
1380C22×C4—22no—
1381C22×C4—22no—
1382C22×C4—22no—
1383C22×C4—22no—
1384C22×C4—22no—
1385C22×C4—22no—
1386C22×C4—22no—
1387C22×C4—22no—
1388C22×C4—22no—
1389C22×C4—22no—
1390C22×C4—24no—
1391C22×C4—24no—
1392C22×C4—22no—
1393C22×C4—22no—
1394C22×C4—22no—
1395C22×C4—22no—
1396C22×C4—22no—
1397C22×C4—22no—
1398C22×C4—22no—
1399C22×C4—22no—
1400C22×C4—22no—
1401C22×C4—22no—
1402C22×C4—24no—
1403C22×C4—24no—
1404C22×C4—24no—
1405C22×C4—24no—
1406C22×C4—22no—
1407C22×C4—28no—
1408C22×C4—41no—
1409C22×C4—42no—
1410C22×C4—42no—
1411C22×C4—42no—
1412C22×C4—42no—
1413C22×C4—42no—
1414C22×C4—42no—
1415C22×C4—42no—
1416C22×C4—42no—
1417C22×C4—44no—
1418C22×C4—44no—
1419C22×C4—41no—
1420C22×C4—41no—
1421C22×C4—42no—
1422C22×C4—42no—
1423C22×C4—44no—
1424C22×C4—42no—
1425C22×C4—44no—
1426C22×C4—44no—
1427C22×C4—44no—
1428C22×C4—42no—
1429C22×C4—44no—
1430C22×C4—44no—
1431C22×C4—42no—
1432C22×C4—44no—
1433C22×C4—44no—
1434C22×C4—44no—
1435C22×C4—44no—
1436C22×C4—44no—
1437C22×C4—44no—
1438C22×C4—416no—
1439C22×C4—416no—
1440C22×C4—816no—
1441C22×C4C2×#4114yes—
1442C22×C4H(5,𝔽2)14yes—
1443C22×C4H(5,𝔽2)14yes—
1444C22×C4C2511yescharacteristic
1445C22×C4C2512yes—
1446C22×C4C2512yes—
1447C22×C4C2512yes—
1448C22×C4C2514yes—
1449C22×C4C2512yes—
1450C22×C4C2512yes—
1451C22×C4C2514yes—
1452C22×C4C2514yes—
1453C22×C4C2514yes—
1454C22×C4C2511yescharacteristic
1455C22×C4C2512yes—
1456C22×C4C2512yes—
1457C22×C4C2512yes—
1458C22×C4C2512yes—
1459C22×C4C2512yes—
1460C22×C4C2511yescharacteristic
1461C22×C4C2512yes—
1462C22×C4C2511yescharacteristic
1463C22×C4C2511yescharacteristic
1464C22×C4C2511yescharacteristic
1465C22×C4C2511yescharacteristic
1466C22×C4C2512yes—
1467C22×C4C2512yes—
1468C22×C4C2511yescharacteristic
1469C22×C4C2511yescharacteristic
1470C22×C4C2511yescharacteristic
1471C4⋊C4—24no—
1472C4⋊C4—28no—
1473C4⋊C4—24no—
1474C4⋊C4—24no—
1475C4⋊C4—24no—
1476C4⋊C4—24no—
1477C4⋊C4—24no—
1478C4⋊C4—24no—
1479C4⋊C4—24no—
1480C4⋊C4—24no—
1481C4⋊C4—24no—
1482C4⋊C4—24no—
1483C4⋊C4—24no—
1484C4⋊C4—22no—
1485C4⋊C4—22no—
1486C4⋊C4—22no—
1487C4⋊C4—22no—
1488C4⋊C4—22no—
1489C4⋊C4—22no—
1490C4⋊C4—22no—
1491C4⋊C4—22no—
1492C4⋊C4—24no—
1493C4⋊C4—44no—
1494C4⋊C4—44no—
1495C4⋊C4—42no—
1496C4⋊C4—42no—
1497C4⋊C4—41no—
1498C4⋊C4—41no—
1499C4⋊C4—41no—
1500C4⋊C4—41no—
1501C4⋊C4—44no—
1502C4⋊C4—44no—
1503C4⋊C4—44no—
1504C4⋊C4—44no—
1505C4⋊C4—44no—
1506C4⋊C4—44no—
1507C4⋊C4—44no—
1508C4⋊C4—42no—
1509C4⋊C4—42no—
1510C4⋊C4—42no—
1511C4⋊C4—42no—
1512C4⋊C4—42no—
1513C4⋊C4—42no—
1514C4⋊C4—42no—
1515C4⋊C4—42no—
1516C4⋊C4—42no—
1517C4⋊C4—42no—
1518C4⋊C4—44no—
1519C4⋊C4—44no—
1520C4⋊C4—44no—
1521C4⋊C4—44no—
1522C4⋊C4—42no—
1523C4⋊C4—44no—
1524C4⋊C4—44no—
1525C4⋊C4—44no—
1526C4⋊C4—44no—
1527C4⋊C4—44no—
1528C4⋊C4—44no—
1529C4⋊C4—44no—
1530C4⋊C4—42no—
1531C4⋊C4—42no—
1532C4⋊C4C2×#4114yes—
1533C4⋊C4C2×#4114yes—
1534C22⋊C4—24no—
1535C22⋊C4—24no—
1536C22⋊C4—24no—
1537C22⋊C4—24no—
1538C22⋊C4—24no—
1539C22⋊C4—28no—
1540C22⋊C4—24no—
1541C22⋊C4—28no—
1542C22⋊C4—24no—
1543C22⋊C4—24no—
1544C22⋊C4—24no—
1545C22⋊C4—24no—
1546C22⋊C4—24no—
1547C22⋊C4—24no—
1548C22⋊C4—24no—
1549C22⋊C4—24no—
1550C22⋊C4—24no—
1551C22⋊C4—44no—
1552C22⋊C4—42no—
1553C22⋊C4—42no—
1554C22⋊C4—41no—
1555C22⋊C4—41no—
1556C22⋊C4—41no—
1557C22⋊C4—41no—
1558C22⋊C4—41no—
1559C22⋊C4—41no—
1560C22⋊C4—41no—
1561C22⋊C4—41no—
1562C22⋊C4—44no—
1563C22⋊C4—44no—
1564C22⋊C4—44no—
1565C22⋊C4—44no—
1566C22⋊C4—44no—
1567C22⋊C4—44no—
1568C22⋊C4—42no—
1569C22⋊C4—44no—
1570C22⋊C4—42no—
1571C22⋊C4—42no—
1572C22⋊C4—42no—
1573C22⋊C4—42no—
1574C22⋊C4—42no—
1575C22⋊C4—42no—
1576C22⋊C4—42no—
1577C22⋊C4—42no—
1578C22⋊C4—42no—
1579C22⋊C4—42no—
1580C22⋊C4—42no—
1581C22⋊C4—42no—
1582C22⋊C4—42no—
1583C22⋊C4—42no—
1584C22⋊C4—42no—
1585C22⋊C4—42no—
1586C22⋊C4—42no—
1587C22⋊C4—42no—
1588C22⋊C4—42no—
1589C22⋊C4—42no—
1590C22⋊C4—42no—
1591C22⋊C4—42no—
1592C22⋊C4—44no—
1593C22⋊C4—44no—
1594C22⋊C4—44no—
1595C22⋊C4—44no—
1596C22⋊C4—42no—
1597C22⋊C4—44no—
1598C22⋊C4—44no—
1599C22⋊C4—44no—
1600C22⋊C4—44no—
1601C22⋊C4—42no—
1602C22⋊C4—44no—
1603C22⋊C4—44no—
1604C22⋊C4—44no—
1605C22⋊C4—44no—
1606C22⋊C4—44no—
1607C22⋊C4C2×#4118yes—
1608C42—28no—
1609C42—22no—
1610C42—22no—
1611C42—22no—
1612C42—22no—
1613C42—24no—
1614C42—24no—
1615C42—24no—
1616C42—24no—
1617C42—24no—
1618C42—42no—
1619C42—42no—
1620C42—44no—
1621C42—44no—
1622C42—42no—
1623C42—44no—
1624C42—44no—
1625C42—42no—
1626C42—42no—
1627C42C2×#4118yes—
1628C23—21no—
1629C23—21no—
1630C23—21no—
1631C23—21no—
1632C23—28no—
1633C23—21no—
1634C23—21no—
1635C23—21no—
1636C23—21no—
1637C23—21no—
1638C23—21no—
1639C23—21no—
1640C23—21no—
1641C23—21no—
1642C23—21no—
1643C23—21no—
1644C23—21no—
1645C23—21no—
1646C23—21no—
1647C23—21no—
1648C23—21no—
1649C23—21no—
1650C23—21no—
1651C23—22no—
1652C23—21no—
1653C23—22no—
1654C23—22no—
1655C23—21no—
1656C23—21no—
1657C23—22no—
1658C23—22no—
1659C23—22no—
1660C23—22no—
1661C23—22no—
1662C23—22no—
1663C23—22no—
1664C23—22no—
1665C23—22no—
1666C23—21no—
1667C23—22no—
1668C23—22no—
1669C23—22no—
1670C23—21no—
1671C23—22no—
1672C23—22no—
1673C23—21no—
1674C23—21no—
1675C23—22no—
1676C23—22no—
1677C23—22no—
1678C23—22no—
1679C23—44no—
1680C23—44no—
1681C23—44no—
1682C23—44no—
1683C23—44no—
1684C23—44no—
1685C23—44no—
1686C23—44no—
1687C23—44no—
1688C23—44no—
1689C23—82no—
1690C23—82no—
1691C23—82no—
1692C23C22×#4112yes—
1693C23C2×H(5,𝔽2)12yes—
1694C23C2×H(5,𝔽2)12yes—
1695C23C2×2−1+412yes—
1696C23C2×2−1+412yes—
1697C23#58512yes—
1698C23C2611yescharacteristic
1699Q8—44no—
1700Q8—44no—
1701Q8—44no—
1702D4—44no—
1703D4—48no—
1704D4—48no—
1705D4—48no—
1706D4—44no—
1707D4—44no—
1708D4—44no—
1709D4—48no—
1710D4—48no—
1711D4—48no—
1712D4—44no—
1713D4—44no—
1714D4—44no—
1715D4—84no—
1716D4—84no—
1717D4—84no—
1718D4—84no—
1719D4—84no—
1720D4—84no—
1721D4—84no—
1722D4—84no—
1723D4—84no—
1724D4—84no—
1725D4—84no—
1726D4—164no—
1727D4—164no—
1728C2×C4—21no—
1729C2×C4—22no—
1730C2×C4—21no—
1731C2×C4—22no—
1732C2×C4—22no—
1733C2×C4—22no—
1734C2×C4—22no—
1735C2×C4—24no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—22no—
1741C2×C4—22no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—22no—
1746C2×C4—22no—
1747C2×C4—22no—
1748C2×C4—22no—
1749C2×C4—22no—
1750C2×C4—22no—
1751C2×C4—22no—
1752C2×C4—22no—
1753C2×C4—21no—
1754C2×C4—22no—
1755C2×C4—22no—
1756C2×C4—24no—
1757C2×C4—24no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—22no—
1763C2×C4—22no—
1764C2×C4—22no—
1765C2×C4—22no—
1766C2×C4—24no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—22no—
1771C2×C4—22no—
1772C2×C4—22no—
1773C2×C4—22no—
1774C2×C4—21no—
1775C2×C4—22no—
1776C2×C4—24no—
1777C2×C4—22no—
1778C2×C4—22no—
1779C2×C4—24no—
1780C2×C4—22no—
1781C2×C4—21no—
1782C2×C4—22no—
1783C2×C4—22no—
1784C2×C4—21no—
1785C2×C4—21no—
1786C2×C4—24no—
1787C2×C4—22no—
1788C2×C4—22no—
1789C2×C4—24no—
1790C2×C4—24no—
1791C2×C4—22no—
1792C2×C4—22no—
1793C2×C4—24no—
1794C2×C4—22no—
1795C2×C4—24no—
1796C2×C4—21no—
1797C2×C4—22no—
1798C2×C4—24no—
1799C2×C4—21no—
1800C2×C4—44no—
1801C2×C4—44no—
1802C2×C4—44no—
1803C2×C4—44no—
1804C2×C4—44no—
1805C2×C4—44no—
1806C2×C4—44no—
1807C2×C4—44no—
1808C2×C4—44no—
1809C2×C4—44no—
1810C2×C4—44no—
1811C2×C4—48no—
1812C2×C4—48no—
1813C2×C4—48no—
1814C2×C4—88no—
1815C2×C4—84no—
1816C2×C4—82no—
1817C2×C4—84no—
1818C2×C4—84no—
1819C2×C4—84no—
1820C2×C4—84no—
1821C2×C4—84no—
1822C2×C4—88no—
1823C2×C4—88no—
1824C2×C4—164no—
1825C2×C4—164no—
1826C2×C4#540116yes—
1827C2×C4C22×#4114yes—
1828C2×C4C22×#4114yes—
1829C2×C4C22×#4112yes—
1830C2×C4C22×#4112yes—
1831C2×C4C2×H(5,𝔽2)12yes—
1832C2×C4C2×H(5,𝔽2)12yes—
1833C2×C4C2×H(5,𝔽2)12yes—
1834C2×C4C2×H(5,𝔽2)12yes—
1835C2×C4C2×2−1+412yes—
1836C22—22no—
1837C22—22no—
1838C22—22no—
1839C22—22no—
1840C22—22no—
1841C22—22no—
1842C22—22no—
1843C22—22no—
1844C22—22no—
1845C22—22no—
1846C22—22no—
1847C22—22no—
1848C22—22no—
1849C22—22no—
1850C22—22no—
1851C22—416no—
1852C22—41no—
1853C22—41no—
1854C22—41no—
1855C22—41no—
1856C22—41no—
1857C22—41no—
1858C22—41no—
1859C22—41no—
1860C22—41no—
1861C22—41no—
1862C22—41no—
1863C22—41no—
1864C22—42no—
1865C22—42no—
1866C22—42no—
1867C22—41no—
1868C22—42no—
1869C22—42no—
1870C22—41no—
1871C22—42no—
1872C22—41no—
1873C22—42no—
1874C22—42no—
1875C22—42no—
1876C22—42no—
1877C22—41no—
1878C22—42no—
1879C22—42no—
1880C22—41no—
1881C22—42no—
1882C22—42no—
1883C22—42no—
1884C22—42no—
1885C22—42no—
1886C22—42no—
1887C22—41no—
1888C22—42no—
1889C22—41no—
1890C22—42no—
1891C22—42no—
1892C22—88no—
1893C22C2×#54014yes—
1894C22C23×#4111yescharacteristic
1895C22C22×H(5,𝔽2)11yescharacteristic
1896C22C22×H(5,𝔽2)11yescharacteristic
1897C22C22×2−1+411yescharacteristic
1898C22C2×#58511yescharacteristic
1899C22H(7,𝔽2)11yescharacteristic
1900C22H(7,𝔽2)11yescharacteristic
1901C4—24no—
1902C4—24no—
1903C4—22no—
1904C4—44no—
1905C4—41no—
1906C4—42no—
1907C4—41no—
1908C4—44no—
1909C4—44no—
1910C4—41no—
1911C4—42no—
1912C4—41no—
1913C4—41no—
1914C4—41no—
1915C4—41no—
1916C4—42no—
1917C4—42no—
1918C4—42no—
1919C4—42no—
1920C4—42no—
1921C4—42no—
1922C4—42no—
1923C4—44no—
1924C4—42no—
1925C4—42no—
1926C4C2×#54014yes—
1927C4C2×#54014yes—
1928C2—24no—
1929C2—42no—
1930C2—42no—
1931C2—42no—
1932C2—82no—
1933C2—82no—
1934C2—82no—
1935C2—81no—
1936C2C22×#54011yescharacteristic
1937C2#6281911yescharacteristic
1938C2#6287411yescharacteristic
1939C2#6294411yescharacteristic
1940C2#6295711yescharacteristic
1941C2#6300011yescharacteristic
1942C2#6300811yescharacteristic
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. #42771C2semidirect
2. #42690C2semidirect
3. #42608C2semidirect
4. #42570C2semidirect
5. #42557C2semidirect
6. #42510C2semidirect
7. #42508C2semidirect
8. #42508C2semidirect
9. #41555C2semidirect
10. #40846C2semidirect
11. #40150C2semidirect
12. #40046C2semidirect
13. #39998C2semidirect
14. #39996C2semidirect
15. #39664C2semidirect
16. #39634C2semidirect
17. #39220C2semidirect
18. #39191C2semidirect
19. #38543C2semidirect
20. #38510C2semidirect
21. #35564C2semidirect
22. #35518C2semidirect
23. #35518C2semidirect
24. #35518C2semidirect
25. #35517C2semidirect
26. #35516C2semidirect
27. #35265C2semidirect
28. #35263C2semidirect
29. #35223C2semidirect
30. #34936C2semidirect
31. C2×#2487C2semidirect
32. #34737C2semidirect
33. #34253C2semidirect
34. #34202C2semidirect
35. #34200C2semidirect
51. #2864C22semidirect
52. #2859C22semidirect
53. #2855C22semidirect
54. #2854C22semidirect
56. #2837C22semidirect
57. #2837C22semidirect
58. #2836C22semidirect
59. #2829C22semidirect
60. #2797C22semidirect
61. #2793C22semidirect
62. #2791C22semidirect
63. #2786C22semidirect
65. #2780C22semidirect
66. #2780C22semidirect
67. #2780C22semidirect
68. #2777C22semidirect
69. #2773C22semidirect
70. #2768C22semidirect
73. #2753C22semidirect
74. #2753C22semidirect
75. #2752C22semidirect
77. #2748C22semidirect
78. #2748C22semidirect
79. #2743C22semidirect
80. #2743C22semidirect
81. #2740C22semidirect
82. #2738C22semidirect
83. #2711C22semidirect
84. #2711C22semidirect
86. #2706C22semidirect
90. #2671C22semidirect
91. #2671C22semidirect
92. #2667C22semidirect
93. #2654C22semidirect
94. #2651C22semidirect
95. #2649C22semidirect
96. #2649C22semidirect
98. #2648C22semidirect
99. #2647C22semidirect
100. #2647C22semidirect
101. #2647C22semidirect
103. #2635C22semidirect
104. #2630C22semidirect
105. #2625C22semidirect
106. #2624C22semidirect
107. #2624C22semidirect
120. #2538C22semidirect
121. #2538C22semidirect
122. #2538C22semidirect
123. #2537C22semidirect
124. #2537C22semidirect
125. #2537C22semidirect
126. #2536C22semidirect
127. #2536C22semidirect
128. #2536C22semidirect
129. #2535C22semidirect
130. #2535C22semidirect
131. #2535C22semidirect
133. #2526C22semidirect
134. #2522C22semidirect
135. #2509C22semidirect
136. #2508C22semidirect
137. #2507C22semidirect
138. #2506C22semidirect
142. #2497C22semidirect
151. #2487C22semidirect
152. #2487C22semidirect
153. #2487C22semidirect
154. #2486C22semidirect
155. #2486C22semidirect
156. #2486C22semidirect
157. #2485C22semidirect
158. #2485C22semidirect
159. #2485C22semidirect
160. #2485C22semidirect
161. #2485C22semidirect
162. #2485C22semidirect
163. #2476C22semidirect
165. #2471C22semidirect
167. #2464C22semidirect
169. #2454C22semidirect
170. #2454C22semidirect
171. #2448C22semidirect
172. #2447C22semidirect
173. #2446C22semidirect
174. #2445C22semidirect
178. #2429C22semidirect
180. #2428C22semidirect
181. #2427C22semidirect
182. #2426C22semidirect
189. #2423C22semidirect
190. #2422C22semidirect
191. #2421C22semidirect
192. #2420C22semidirect
197. #2417C22semidirect
198. #2417C22semidirect
199. #2417C22semidirect
200. #2417C22semidirect
201. #2417C22semidirect
202. #2417C22semidirect
203. #2417C22semidirect
204. #2417C22semidirect
208. #2416C22semidirect
209. #2416C22semidirect
210. #2416C22semidirect
211. #2416C22semidirect
212. #2416C22semidirect
213. #2416C22semidirect
214. #2416C22semidirect
215. #2416C22semidirect
218. #2415C22semidirect
219. #2415C22semidirect
220. #2415C22semidirect
221. #2415C22semidirect
224. #2414C22semidirect
225. #2414C22semidirect
226. #2414C22semidirect
227. #2414C22semidirect
239. #2361C22semidirect
240. #2361C22semidirect
241. #2360C22semidirect
242. #2360C22semidirect
245. #2354C22semidirect
248. #2352C22semidirect
249. #2352C22semidirect
250. #2352C22semidirect
251. #2352C22semidirect
252. D4×C4⋊C4C22semidirect
253. D4×C4⋊C4C22semidirect
254. D4×C4⋊C4C22semidirect
255. #2347C22semidirect
256. #2346C22semidirect
257. #2345C22semidirect
258. #2344C22semidirect
259. #2335C22semidirect
262. #2324C22semidirect
263. #2324C22semidirect
264. #2323C22semidirect
266. #2320C22semidirect
267. #2319C22semidirect
280. C4×C22⋊Q8C22semidirect
283. C4×#121C22semidirect
287. #2295C22semidirect
288. #2293C22semidirect

Maximal subgroups

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

subgroupindex
#427712
#426902
#426082
#425702
#425572
#425102
#425082
#415552
#408462
#401502
#400462
#399982
#399962
#396642
#396342
#392202
#391912
#385432
#385102
#355642
#355182
#355172
#355162
#352652
#352632
#352232
#349362
C2×#24872
#347372
#342532
#342022
#342002