Finite Group Databasebeta

← #7657365

Subgroups — #7657365

Order 512.

5824 conjugacy classes of subgroups.

The subgroup lattice has 1851 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42629C212yesmaximal, complemented
2#42620C212yesmaximal, complemented
3#42570C212yesmaximal, complemented
4#42565C212yesmaximal, complemented
5#40846C214yesmaximal, complemented
6#40810C214yesmaximal, complemented
7#40758C214yesmaximal, complemented
8#40753C214yesmaximal, complemented
9#39481C211yesmaximal, characteristic, complemented
10#39352C211yesmaximal, characteristic, complemented
11#39202C211yesmaximal, characteristic, complemented
12#39191C211yesmaximal, characteristic, complemented
13#38123C212yesmaximal, complemented
14#38112C212yesmaximal, complemented
15#37851C212yesmaximal, complemented
16#37662C212yesmaximal, complemented
17#37627C211yesmaximal, characteristic, complemented
18#37626C211yesmaximal, characteristic, complemented
19#37502C212yesmaximal, complemented
20#37493C212yesmaximal, complemented
21#36290C211yesmaximal, characteristic, complemented
22#36260C211yesmaximal, characteristic, complemented
23#36153C211yesmaximal, characteristic, complemented
24D4×#121C211yesmaximal, characteristic, complemented
25#35987C212yesmaximal, complemented
26#35791C212yesmaximal, complemented
27#35761C212yesmaximal, complemented
28#35728C212yesmaximal, complemented
29#35288C211yesmaximal, characteristic, complemented
30#35261C212yesmaximal, complemented
31#34621C211yesmaximal, characteristic, complemented
32C2×#2624C212yesmaximal, complemented
33#34310C211yesmaximal, characteristic, complemented
34#34308C211yesmaximal, characteristic, complemented
35D4×#117C211yesmaximal, characteristic, complemented
36C2×#547C2211yescharacteristic
37C2×#546C2212yes—
38C2×#546C2212yes—
39C2×#546C2212yes—
40C2×D42C2211yescharacteristic
41C2×D42C2212yes—
42C2×#540C2212yescomplemented
43C22×#121C2212yes—
44C2×#520C2212yes—
45C2×#518C2212yes—
46C22×C4×D4C2211yescharacteristic
47C22×#117C2212yescomplemented
48#2859C2211yescharacteristic, complemented
49#2858C2211yescharacteristic, complemented
50#2857C2211yescharacteristic, complemented
51#2856C2211yescharacteristic
52#2856C2212yescomplemented
53#2851C2212yescomplemented
54#2847C2212yes—
55#2847C2212yescomplemented
56#2837C2214yescomplemented
57#2837C2214yescomplemented
58#2836C2214yescomplemented
59#2829C2214yescomplemented
60#2828C2214yescomplemented
61#2828C2214yescomplemented
62#2803C2214yescomplemented
63#2800C2214yescomplemented
64#2797C2214yescomplemented
65#2797C2214yescomplemented
66#2786C2214yescomplemented
67#2780C2214yescomplemented
68#2773C2214yescomplemented
69#2753C2214yescomplemented
70#2752C2214yescomplemented
71#2752C2214yescomplemented
72#2748C2214yescomplemented
73#2743C2214yescomplemented
74#2741C2214yescomplemented
75#2741C2214yescomplemented
76#2740C2214yescomplemented
77#2740C2214yescomplemented
78#2711C2214yescomplemented
79#2706C2214yescomplemented
80#2703C2214yescomplemented
81#2701C2214yescomplemented
82#2699C2214yescomplemented
83#2688C2214yescomplemented
84#2671C2214yescomplemented
85#2671C2214yescomplemented
86#2667C2214yescomplemented
87#2661C2214yescomplemented
88#2651C2212yescomplemented
89#2651C2214yescomplemented
90#2651C2212yescomplemented
91#2649C2214yescomplemented
92#2648C2214yescomplemented
93#2648C2212yescomplemented
94#2648C2212yescomplemented
95#2647C2211yescharacteristic, complemented
96#2644C2211yescharacteristic, complemented
97#2644C2211yescharacteristic, complemented
98#2644C2212yescomplemented
99#2641C2211yescharacteristic, complemented
100#2635C2214yescomplemented
101#2629C2211yescharacteristic, complemented
102#2629C2212yescomplemented
103#2625C2212yescomplemented
104#2624C2212yes—
105#2624C2211yescharacteristic
106#2624C2212yescomplemented
107#2624C2212yescomplemented
108#2624C2214yescomplemented
109#2624C2214yescomplemented
110#2624C2214yescomplemented
111#2624C2212yescomplemented
112#2624C2212yescomplemented
113#2624C2214yescomplemented
114#2624C2212yescomplemented
115#2624C2212yescomplemented
116#2624C2211yescharacteristic, complemented
117#2624C2212yescomplemented
118#2623C2214yescomplemented
119#2622C2214yescomplemented
120#2620C2212yescomplemented
121#2619C2211yescharacteristic
122#2619C2212yescomplemented
123#2619C2212yescomplemented
124#2618C2214yescomplemented
125#2617C2214yescomplemented
126#2571C2211yescharacteristic, complemented
127#2552C2211yescharacteristic, complemented
128#2548C2212yescomplemented
129#2547C2211yescharacteristic, complemented
130#2544C2212yescomplemented
131#2543C2214yescomplemented
132#2542C2211yescharacteristic, complemented
133#2541C2211yescharacteristic
134#2541C2211yescharacteristic, complemented
135#2540C2212yescomplemented
136#2540C2212yescomplemented
137#2539C2214yescomplemented
138#2539C2214yescomplemented
139#2537C2211yescharacteristic
140#2537C2211yescharacteristic, complemented
141#2537C2212yescomplemented
142#2536C2212yescomplemented
143#2534C2214yescomplemented
144#2513C2212yescomplemented
145#2513C2212yescomplemented
146#2509C2212yescomplemented
147#2507C2212yescomplemented
148#2507C2212yescomplemented
149#2505C2214yescomplemented
150#2501C2212yescomplemented
151#2501C2212yescomplemented
152#2499C2212yescomplemented
153#2498C2214yescomplemented
154#2497C2212yescomplemented
155#2497C2212yescomplemented
156#2490C2212yescomplemented
157#2490C2212yescomplemented
158#2490C2212yescomplemented
159#2487C2212yescomplemented
160#2486C2212yescomplemented
161#2485C2212yescomplemented
162#2483C2214yescomplemented
163#2482C2214yescomplemented
164#2476C2214yescomplemented
165#2476C2214yescomplemented
166#2473C2214yescomplemented
167#2471C2214yescomplemented
168#2471C2214yescomplemented
169#2454C2212yescomplemented
170#2454C2212yescomplemented
171#2448C2212yescomplemented
172#2448C2212yescomplemented
173#2447C2212yescomplemented
174#2447C2212yescomplemented
175#2445C2212yescomplemented
176#2444C2214yescomplemented
177#2443C2214yescomplemented
178#2443C2214yescomplemented
179#2443C2214yescomplemented
180#2442C2212yescomplemented
181#2442C2212yescomplemented
182#2433C2212yescomplemented
183#2428C2212yes—
184#2428C2212yescomplemented
185#2428C2212yescomplemented
186#2428C2212yescomplemented
187#2427C2212yescomplemented
188#2427C2212yescomplemented
189#2426C2212yescomplemented
190#2426C2212yescomplemented
191#2425C2214yescomplemented
192#2425C2214yescomplemented
193#2424C2214yes—
194#2424C2214yescomplemented
195#2424C2214yescomplemented
196#2424C2214yescomplemented
197#2423C2212yescomplemented
198#2423C2212yescomplemented
199#2422C2212yescomplemented
200#2420C2212yescomplemented
201#2420C2212yescomplemented
202#2420C2212yescomplemented
203#2420C2212yescomplemented
204#2419C2214yescomplemented
205#2419C2214yescomplemented
206#2418C2214yescomplemented
207#2418C2214yescomplemented
208#2417C2212yescomplemented
209#2416C2212yes—
210#2416C2212yes—
211#2416C2212yescomplemented
212#2416C2212yescomplemented
213#2416C2212yescomplemented
214#2416C2214yescomplemented
215#2415C2212yescomplemented
216#2414C2212yescomplemented
217#2412C2214yescomplemented
218#2412C2214yescomplemented
219#2412C2214yescomplemented
220#2411C2214yescomplemented
221#2411C2214yescomplemented
222#2410C2214yes—
223#2410C2214yescomplemented
224#2408C2212yes—
225#2408C2214yescomplemented
226#2395C2212yescomplemented
227#2395C2212yescomplemented
228C2×#399C2214yescomplemented
229#2392C2212yescomplemented
230#2392C2212yescomplemented
231C2×#397C2214yescomplemented
232C2×#394C2214yescomplemented
233C2×#394C2214yescomplemented
234#2366C2211yescharacteristic, complemented
235#2365C2211yescharacteristic, complemented
236#2363C2212yescomplemented
237#2361C2212yescomplemented
238#2361C2212yescomplemented
239#2360C2212yescomplemented
240#2359C2214yescomplemented
241#2358C2214yescomplemented
242#2354C2211yescharacteristic, complemented
243#2354C2211yescharacteristic, complemented
244#2354C2211yescharacteristic, complemented
245#2352C2212yescomplemented
246#2352C2212yescomplemented
247#2349C2212yes—
248D4×C4⋊C4C2211yescharacteristic
249D4×C4⋊C4C2211yescharacteristic
250D4×C4⋊C4C2211yescharacteristic
251D4×C4⋊C4C2211yescharacteristic
252D4×C4⋊C4C2212yes—
253D4×C4⋊C4C2211yescharacteristic, complemented
254#2344C2212yescomplemented
255#2344C2211yescharacteristic, complemented
256#2344C2211yescharacteristic, complemented
257#2342C2212yescomplemented
258#2342C2212yescomplemented
259#2339C2212yes—
260#2339C2212yes—
261D4×C22⋊C4C2212yes—
262D4×C22⋊C4C2211yescharacteristic
263D4×C22⋊C4C2211yescharacteristic
264D4×C22⋊C4C2212yes—
265D4×C22⋊C4C2212yescomplemented
266#2324C2212yescomplemented
267#2324C2212yescomplemented
268#2324C2212yescomplemented
269#2324C2212yescomplemented
270#2323C2212yescomplemented
271#2322C2214yescomplemented
272#2321C2214yescomplemented
273#2319C2212yescomplemented
274#2314C2212yescomplemented
275C4×C4⋊Q8C2211yescharacteristic, complemented
276C4×#127C2211yescharacteristic, complemented
277C4×#127C2211yescharacteristic, complemented
278C4×#125C2211yescharacteristic, complemented
279C4×#121C2211yescharacteristic
280C4×#121C2212yescomplemented
281C4×#121C2212yescomplemented
282C4×#121C2211yescharacteristic, complemented
283#2293C2211yescharacteristic, complemented
284#2293C2211yescharacteristic, complemented
285#2293C2211yescharacteristic, complemented
286#2293C2211yescharacteristic, complemented
287C2×#390C2212yescomplemented
288C2×#390C2212yescomplemented
289C2×#389C2212yescomplemented
290C2×#389C2212yescomplemented
291#2290C2212yescomplemented
292#2290C2212yescomplemented
293#2285C2211yescharacteristic, complemented
294#2280C2212yescomplemented
295C2×#380C2212yescomplemented
296C42×D4C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic, complemented
299C22×#41C2312yes—
300C23×D4C2311yescharacteristic
301C23×D4C2312yes—
302C23×D4C2312yes—
303C23×D4C2314yes—
304C24×C4C2312yes—
305#547—28no—
306#546—48no—
307#546—48no—
308#546—48no—
309D42—28no—
310D42—48no—
311#540—48no—
312C2×C4⋊Q8C2311yescharacteristic
313C2×#127C2311yescharacteristic
314C2×#127C2311yescharacteristic
315C2×#127C2312yes—
316C2×#127C2312yes—
317C2×#125C2311yescharacteristic
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×#124C2312yes—
321C2×#124C2312yes—
322C2×#124C2312yes—
323C2×#123C2314yes—
324C2×#123C2314yes—
325C2×#123C2314yes—
326C2×#123C2314yes—
327C2×#123C2314yes—
328C2×#123C2314yes—
329C2×#123C2314yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×#121—48no—
335C2×#121C2312yes—
336C2×#121C2312yes—
337C2×#121C2312yes—
338C2×#121C2311yescharacteristic
339C2×#121C2312yes—
340C2×#121C2311yescharacteristic
341C2×#121C2312yes—
342C2×#121C2312yes—
343C2×#121C2312yes—
344C2×#121C2314yes—
345C2×#121C2314yes—
346C2×#121C2314yes—
347C2×#121C2314yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2314yes—
353C2×#121C2314yes—
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2314yes—
357C2×#121C2314yes—
358C2×#121C2312yes—
359C2×#121C2314yes—
360C2×#121C2314yes—
361C2×#120C2314yes—
362C2×#120C2314yes—
363C2×#120C2314yes—
364C2×#120C2314yes—
365C2×#120C2314yes—
366C2×#120C2314yes—
367#520—48no—
368#518—48no—
369C2×C4×Q8C2312yes—
370C2×C4×Q8C2312yes—
371C2×C4×D4—28no—
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2311yescharacteristic
381C2×C4×D4C2312yes—
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2312yes—
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2314yes—
390C2×C4×D4C2314yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2314yes—
394C2×C4×D4C2314yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2311yescharacteristic
400C2×#117—48no—
401C2×#117C2312yes—
402C2×#117C2311yescharacteristic
403C2×#117C2312yes—
404C2×#117C2311yescharacteristic
405C2×#117C2312yes—
406C2×#117C2312yes—
407C2×#117C2312yes—
408C2×#117C2312yes—
409C2×#117C2314yes—
410C2×#117C2312yes—
411C2×#117C2312yes—
412C2×#117C2312yes—
413C2×#117C2312yes—
414C22×C4⋊C4C2311yescharacteristic
415C22×C4⋊C4C2312yes—
416C22×C4⋊C4C2314yes—
417C22×C4⋊C4C2312yes—
418C22×C4⋊C4C2312yes—
419C22×C4⋊C4C2312yes—
420C22×C4⋊C4C2312yes—
421C22×C4⋊C4C2312yes—
422C22×C4⋊C4C2314yes—
423C22×C22⋊C4C2312yes—
424C22×C22⋊C4C2314yes—
425C22×C22⋊C4C2312yes—
426C22×C22⋊C4C2312yes—
427C22×C22⋊C4C2314yes—
428C22×C22⋊C4C2314yes—
429C22×C22⋊C4C2314yes—
430C22×C22⋊C4C2314yes—
431C22×C22⋊C4C2314yes—
432C22×C22⋊C4C2314yes—
433C22×C42C2311yescharacteristic
434C22×C42C2312yes—
435C22×C42C2312yes—
436#400C2314yes—
437#400C2314yes—
438#400C2314yes—
439#400C2314yes—
440#400C2312yes—
441#400C2314yes—
442#400C2312yes—
443#399C2314yes—
444#399C2314yes—
445#399C2314yes—
446#399C2314yes—
447#399C2314yes—
448#399C2314yes—
449#399C2312yes—
450#399C2314yes—
451#399C2314yes—
452#399C2314yes—
453#399C2314yes—
454#399C2314yes—
455#399C2312yes—
456#398C2314yes—
457#398C2312yes—
458#398C2314yes—
459#398C2314yes—
460#398C2314yes—
461#398C2314yes—
462#398C2314yes—
463#398C2314yes—
464#398C2314yes—
465#398C2312yes—
466#398C2312yes—
467#398C2312yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#397C2314yes—
477#397C2314yes—
478#397C2314yes—
479#397C2314yes—
480#397C2314yes—
481#397C2312yes—
482#397C2314yes—
483#397C2314yes—
484#397C2314yes—
485#397C2314yes—
486#397C2314yes—
487#397C2312yes—
488#397C2312yes—
489#397C2312yes—
490#397C2312yes—
491#397C2312yes—
492#397C2312yes—
493#397C2312yes—
494#396C2314yes—
495#396C2314yes—
496#396C2314yes—
497#396C2314yes—
498#396C2314yes—
499#396C2314yes—
500#396C2314yes—
501#396C2314yes—
502#396C2312yes—
503#396C2312yes—
504#396C2312yes—
505#396C2312yes—
506#394C2312yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2312yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2312yes—
526#394C2314yes—
527#394C2314yes—
528#394C2312yes—
529#394C2312yes—
530#394C2312yes—
531#394C2312yes—
532#394C2312yes—
533#394C2314yes—
534#394C2314yes—
535#394C2314yes—
536#394C2314yes—
537#394C2314yes—
538#394C2314yes—
539#394C2314yes—
540#394C2314yes—
541#394C2314yes—
542#394C2314yes—
543#394C2312yes—
544#394C2312yes—
545#392C2314yes—
546#392C2314yes—
547#392C2314yes—
548#392C2314yes—
549#392C2314yes—
550#392C2314yes—
551#392C2314yes—
552#392C2314yes—
553#392C2314yes—
554#392C2312yes—
555#392C2312yes—
556#391C2312yes—
557#391C2312yes—
558#391C2312yes—
559#391C2312yes—
560#390C2312yes—
561#390C2311yescharacteristic
562#390C2312yes—
563#390C2312yes—
564#390C2311yescharacteristic
565#390C2312yes—
566#390C2312yes—
567#390C2314yes—
568#390C2312yes—
569#390C2312yes—
570#390C2314yes—
571#390C2312yes—
572#390C2312yes—
573#390C2314yes—
574#390C2314yes—
575#390C2314yes—
576#390C2312yes—
577#390C2311yescharacteristic
578#390C2311yescharacteristic
579#390C2311yescharacteristic
580#390C2311yescharacteristic
581#390C2312yes—
582#390C2311yescharacteristic
583#390C2312yes—
584#390C2312yes—
585#390C2314yes—
586#390C2314yes—
587#390C2312yes—
588#390C2312yes—
589#390C2311yescharacteristic
590#390C2312yes—
591#390C2311yescharacteristic
592#390C2311yescharacteristic
593#390C2312yes—
594#390C2312yes—
595#390C2314yes—
596#390C2314yes—
597#390C2311yescharacteristic
598#390C2311yescharacteristic
599#390C2314yes—
600#390C2314yes—
601#389C2311yescharacteristic
602#389C2311yescharacteristic
603#389C2312yes—
604#389C2312yes—
605#389C2312yes—
606#389C2312yes—
607#389C2312yes—
608#389C2312yes—
609#389C2314yes—
610#389C2312yes—
611#389C2312yes—
612#389C2312yes—
613#389C2314yes—
614#389C2311yescharacteristic
615#389C2311yescharacteristic
616#389C2311yescharacteristic
617#389C2311yescharacteristic
618#389C2311yescharacteristic
619#389C2312yes—
620#389C2312yes—
621#389C2312yes—
622#389C2312yes—
623#389C2312yes—
624#389C2311yescharacteristic
625#389C2312yes—
626#389C2311yescharacteristic
627#389C2312yes—
628#389C2314yes—
629#389C2314yes—
630#389C2311yescharacteristic
631#389C2311yescharacteristic
632#389C2311yescharacteristic
633#389C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2312yes—
637#388C2312yes—
638#388C2312yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2312yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2312yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2312yes—
652#388C2312yes—
653#388C2312yes—
654#388C2312yes—
655#388C2312yes—
656#388C2312yes—
657#388C2312yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2312yes—
662#388C2312yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#387C2312yes—
667#387C2312yes—
668#387C2314yes—
669#387C2314yes—
670#387C2312yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2312yes—
675#387C2314yes—
676#387C2314yes—
677#387C2312yes—
678#387C2312yes—
679#387C2314yes—
680#387C2314yes—
681#387C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2312yes—
697#386C2312yes—
698#386C2312yes—
699#386C2312yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2312yes—
707#386C2312yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2314yes—
721#385C2312yes—
722#385C2312yes—
723#385C2312yes—
724#385C2312yes—
725#385C2314yes—
726#385C2314yes—
727#385C2314yes—
728#384C2311yescharacteristic
729#384C2311yescharacteristic
730#384C2311yescharacteristic
731#384C2312yes—
732#384C2311yescharacteristic
733#384C2311yescharacteristic
734#384C2312yes—
735#382C2311yescharacteristic
736#382C2312yes—
737#382C2312yes—
738#382C2312yes—
739#382C2312yes—
740#381C2314yes—
741#381C2314yes—
742#381C2314yes—
743#381C2312yes—
744#381C2312yes—
745#381C2314yes—
746#381C2314yes—
747#380C2311yescharacteristic
748#380C2312yes—
749#380C2314yes—
750#380C2312yes—
751#380C2312yes—
752#380C2312yes—
753#380C2312yes—
754#380C2312yes—
755#380C2312yes—
756#380C2311yescharacteristic
757#380C2311yescharacteristic
758#380C2312yes—
759#380C2312yes—
760#380C2312yes—
761#380C2312yes—
762#380C2312yes—
763#380C2312yes—
764#380C2314yes—
765#380C2314yes—
766#380C2312yes—
767#380C2312yes—
768#380C2311yescharacteristic
769#380C2314yes—
770#380C2312yes—
771#380C2312yes—
772#380C2314yes—
773#380C2314yes—
774#379C2314yes—
775#379C2312yes—
776#379C2312yes—
777#379C2314yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2314yes—
811C4×C22⋊C4C2314yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815#376C2311yescharacteristic
816#376C2311yescharacteristic
817C2×#95C2314yes—
818C2×#95C2314yes—
819C2×#95C2314yes—
820C43C2311yescharacteristic
821C43C2311yescharacteristic
822C25C2412yes—
823C25C2414yes—
824C2×#41—28no—
825C2×#41—28no—
826C2×#41—28no—
827C22×Q8C2412yes—
828C22×D4—24no—
829C22×D4—28no—
830C22×D4—28no—
831C22×D4—24no—
832C22×D4—28no—
833C22×D4—24no—
834C22×D4—28no—
835C22×D4—44no—
836C22×D4—44no—
837C22×D4—48no—
838C22×D4—48no—
839C22×D4—84no—
840C22×D4C2411yescharacteristic
841C22×D4C2414yes—
842C22×D4C2412yes—
843C22×D4C2414yes—
844C22×D4C2411yescharacteristic
845C22×D4C2412yes—
846C22×D4C2412yes—
847C22×D4C2411yescharacteristic
848C22×D4C2412yes—
849C22×D4C2412yes—
850C22×D4C2412yes—
851C22×D4C2414yes—
852C22×D4C2414yes—
853C22×D4C2412yes—
854C22×D4C2412yes—
855C22×D4C2414yes—
856C22×D4C2414yes—
857C22×D4C2414yes—
858C22×D4C2414yes—
859C22×D4C2414yes—
860C22×D4C2414yes—
861C22×D4C2411yescharacteristic
862C23×C4—28no—
863C23×C4—28no—
864C23×C4—44no—
865C23×C4C2414yes—
866C23×C4C2412yes—
867C23×C4C2411yescharacteristic
868C23×C4C2412yes—
869C23×C4C2412yes—
870C23×C4C2412yes—
871C23×C4C2412yes—
872C23×C4C2412yes—
873C23×C4C2412yes—
874C23×C4C2411yescharacteristic
875C23×C4C2412yes—
876C23×C4C2412yes—
877C23×C4C2414yes—
878C23×C4C2412yes—
879C23×C4C2412yes—
880C23×C4C2411yescharacteristic
881C23×C4C2414yes—
882C23×C4C2414yes—
883C23×C4C2414yes—
884C23×C4C2414yes—
885C4⋊Q8—24no—
886#127—24no—
887#127—42no—
888#127—44no—
889#127—44no—
890#125—42no—
891#125—44no—
892#125—82no—
893#124—44no—
894#124—44no—
895#124—44no—
896#123—216no—
897#123—48no—
898#123—48no—
899#123—48no—
900#123—48no—
901#123—48no—
902#123—84no—
903C22⋊Q8—28no—
904C22⋊Q8—44no—
905C22⋊Q8—44no—
906C22⋊Q8—44no—
907#121—28no—
908#121—28no—
909#121—24no—
910#121—28no—
911#121—24no—
912#121—28no—
913#121—48no—
914#121—48no—
915#121—48no—
916#121—44no—
917#121—44no—
918#121—44no—
919#121—44no—
920#121—44no—
921#121—44no—
922#121—44no—
923#121—44no—
924#121—44no—
925#121—48no—
926#121—48no—
927#121—48no—
928#121—48no—
929#121—48no—
930#121—84no—
931#121—84no—
932#121—82no—
933#120—216no—
934#120—48no—
935#120—48no—
936#120—48no—
937#120—48no—
938#120—48no—
939C4×Q8—44no—
940C4×Q8—44no—
941C4×D4—24no—
942C4×D4—24no—
943C4×D4—28no—
944C4×D4—24no—
945C4×D4—28no—
946C4×D4—24no—
947C4×D4—24no—
948C4×D4—28no—
949C4×D4—24no—
950C4×D4—28no—
951C4×D4—24no—
952C4×D4—24no—
953C4×D4—24no—
954C4×D4—44no—
955C4×D4—44no—
956C4×D4—44no—
957C4×D4—44no—
958C4×D4—44no—
959C4×D4—44no—
960C4×D4—44no—
961C4×D4—44no—
962C4×D4—44no—
963C4×D4—48no—
964C4×D4—48no—
965C4×D4—48no—
966C4×D4—48no—
967C4×D4—82no—
968C4×D4#4118yes—
969#117—24no—
970#117—28no—
971#117—44no—
972#117—44no—
973#117—42no—
974#117—44no—
975#117—44no—
976#117—44no—
977#117—44no—
978#117—48no—
979#117—44no—
980#117—44no—
981#117—44no—
982C2×C4⋊C4—28no—
983C2×C4⋊C4—24no—
984C2×C4⋊C4—44no—
985C2×C4⋊C4—44no—
986C2×C4⋊C4—44no—
987C2×C4⋊C4—44no—
988C2×C4⋊C4—44no—
989C2×C4⋊C4—48no—
990C2×C4⋊C4—84no—
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2411yescharacteristic
1032C2×C4⋊C4C2411yescharacteristic
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2411yescharacteristic
1051C2×C22⋊C4—28no—
1052C2×C22⋊C4—48no—
1053C2×C22⋊C4—44no—
1054C2×C22⋊C4—44no—
1055C2×C22⋊C4—48no—
1056C2×C22⋊C4—48no—
1057C2×C22⋊C4—48no—
1058C2×C22⋊C4—48no—
1059C2×C22⋊C4—48no—
1060C2×C22⋊C4—84no—
1061C2×C22⋊C4C2411yescharacteristic
1062C2×C22⋊C4C2411yescharacteristic
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2411yescharacteristic
1111C2×C22⋊C4C2411yescharacteristic
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2412yes—
1138C2×C42—24no—
1139C2×C42—44no—
1140C2×C42—44no—
1141C2×C42C2411yescharacteristic
1142C2×C42C2411yescharacteristic
1143C2×C42C2411yescharacteristic
1144C2×C42C2412yes—
1145C2×C42C2411yescharacteristic
1146C2×C42C2412yes—
1147C2×C42C2412yes—
1148C2×C42C2412yes—
1149C2×C42C2411yescharacteristic
1150C2×C42C2411yescharacteristic
1151C2×C42C2411yescharacteristic
1152C2×C42C2411yescharacteristic
1153C2×C42C2411yescharacteristic
1154C2×C42C2411yescharacteristic
1155C2×C42C2411yescharacteristic
1156C2×C42C2412yes—
1157C2×C42C2412yes—
1158C2×C42C2412yes—
1159C2×C42C2412yes—
1160C2×C42C2414yes—
1161C2×C42C2414yes—
1162C2×C42C2414yes—
1163C2×C42C2411yescharacteristic
1164C2×C42C2411yescharacteristic
1165C2×C42C2411yescharacteristic
1166C2×C42C2411yescharacteristic
1167C2×C42C2411yescharacteristic
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2411yescharacteristic
1181#95C2411yescharacteristic
1182#95C2411yescharacteristic
1183#95C2411yescharacteristic
1184#95C2411yescharacteristic
1185#95C2411yescharacteristic
1186#95C2411yescharacteristic
1187#95C2411yescharacteristic
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2414yes—
1209#95C2412yes—
1210#95C2414yes—
1211#95C2414yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2412yes—
1215#95C2412yes—
1216#95C2414yes—
1217#95C2414yes—
1218#95C2414yes—
1219#95C2414yes—
1220#95C2414yes—
1221#95C2414yes—
1222C24—24no—
1223C24—24no—
1224C24—24no—
1225C24—24no—
1226C24—28no—
1227C24—28no—
1228C24—28no—
1229C24—42no—
1230C24—42no—
1231C24—42no—
1232C24—44no—
1233C24—44no—
1234C24—44no—
1235C24—44no—
1236C24C2512yes—
1237C24C2512yes—
1238C24C2514yes—
1239C24C2512yes—
1240C24C2511yescharacteristic
1241C24C2512yes—
1242#41—432no—
1243C2×Q8—24no—
1244C2×Q8—24no—
1245C2×Q8—24no—
1246C2×D4—24no—
1247C2×D4—28no—
1248C2×D4—28no—
1249C2×D4—28no—
1250C2×D4—28no—
1251C2×D4—24no—
1252C2×D4—28no—
1253C2×D4—28no—
1254C2×D4—24no—
1255C2×D4—24no—
1256C2×D4—24no—
1257C2×D4—28no—
1258C2×D4—22no—
1259C2×D4—22no—
1260C2×D4—22no—
1261C2×D4—24no—
1262C2×D4—24no—
1263C2×D4—24no—
1264C2×D4—28no—
1265C2×D4—22no—
1266C2×D4—24no—
1267C2×D4—24no—
1268C2×D4—22no—
1269C2×D4—22no—
1270C2×D4—24no—
1271C2×D4—22no—
1272C2×D4—24no—
1273C2×D4—22no—
1274C2×D4—22no—
1275C2×D4—42no—
1276C2×D4—42no—
1277C2×D4—42no—
1278C2×D4—42no—
1279C2×D4—42no—
1280C2×D4—42no—
1281C2×D4—44no—
1282C2×D4—44no—
1283C2×D4—44no—
1284C2×D4—44no—
1285C2×D4—44no—
1286C2×D4—44no—
1287C2×D4—42no—
1288C2×D4—44no—
1289C2×D4—44no—
1290C2×D4—44no—
1291C2×D4—42no—
1292C2×D4—42no—
1293C2×D4—44no—
1294C2×D4—42no—
1295C2×D4—42no—
1296C2×D4—42no—
1297C2×D4—44no—
1298C2×D4—44no—
1299C2×D4—44no—
1300C2×D4—44no—
1301C2×D4—44no—
1302C2×D4—44no—
1303C2×D4—44no—
1304C2×D4—44no—
1305C2×D4—44no—
1306C2×D4—44no—
1307C2×D4—44no—
1308C2×D4—44no—
1309C2×D4—416no—
1310C2×D4—432no—
1311C2×D4—816no—
1312C2×D4—832no—
1313C2×D4C2×#4114yes—
1314C2×D4H(5,𝔽2)14yes—
1315C2×D4H(5,𝔽2)14yes—
1316C22×C4—22no—
1317C22×C4—24no—
1318C22×C4—24no—
1319C22×C4—22no—
1320C22×C4—28no—
1321C22×C4—24no—
1322C22×C4—28no—
1323C22×C4—28no—
1324C22×C4—24no—
1325C22×C4—24no—
1326C22×C4—28no—
1327C22×C4—24no—
1328C22×C4—24no—
1329C22×C4—24no—
1330C22×C4—28no—
1331C22×C4—22no—
1332C22×C4—24no—
1333C22×C4—24no—
1334C22×C4—24no—
1335C22×C4—24no—
1336C22×C4—24no—
1337C22×C4—24no—
1338C22×C4—24no—
1339C22×C4—24no—
1340C22×C4—24no—
1341C22×C4—24no—
1342C22×C4—22no—
1343C22×C4—24no—
1344C22×C4—24no—
1345C22×C4—22no—
1346C22×C4—24no—
1347C22×C4—22no—
1348C22×C4—42no—
1349C22×C4—42no—
1350C22×C4—42no—
1351C22×C4—432no—
1352C22×C4—42no—
1353C22×C4—42no—
1354C22×C4—42no—
1355C22×C4—42no—
1356C22×C4—44no—
1357C22×C4—42no—
1358C22×C4—44no—
1359C22×C4—44no—
1360C22×C4—42no—
1361C22×C4—44no—
1362C22×C4—41no—
1363C22×C4—41no—
1364C22×C4—42no—
1365C22×C4—42no—
1366C22×C4—44no—
1367C22×C4—44no—
1368C22×C4—44no—
1369C22×C4—44no—
1370C22×C4—44no—
1371C22×C4—44no—
1372C22×C4—44no—
1373C22×C4—44no—
1374C22×C4—44no—
1375C22×C4C2×#4118yes—
1376C22×C4H(5,𝔽2)14yes—
1377C22×C4C2512yes—
1378C22×C4C2511yescharacteristic
1379C22×C4C2511yescharacteristic
1380C22×C4C2511yescharacteristic
1381C22×C4C2512yes—
1382C22×C4C2512yes—
1383C22×C4C2512yes—
1384C22×C4C2512yes—
1385C22×C4C2514yes—
1386C22×C4C2512yes—
1387C22×C4C2511yescharacteristic
1388C22×C4C2511yescharacteristic
1389C22×C4C2511yescharacteristic
1390C22×C4C2511yescharacteristic
1391C22×C4C2514yes—
1392C22×C4C2511yescharacteristic
1393C22×C4C2512yes—
1394C22×C4C2512yes—
1395C22×C4C2514yes—
1396C22×C4C2512yes—
1397C22×C4C2512yes—
1398C22×C4C2512yes—
1399C22×C4C2511yescharacteristic
1400C22×C4C2511yescharacteristic
1401C22×C4C2511yescharacteristic
1402C22×C4C2512yes—
1403C22×C4C2511yescharacteristic
1404C22×C4C2511yescharacteristic
1405C22×C4C2511yescharacteristic
1406C4⋊C4—22no—
1407C4⋊C4—24no—
1408C4⋊C4—22no—
1409C4⋊C4—24no—
1410C4⋊C4—28no—
1411C4⋊C4—22no—
1412C4⋊C4—24no—
1413C4⋊C4—22no—
1414C4⋊C4—22no—
1415C4⋊C4—22no—
1416C4⋊C4—22no—
1417C4⋊C4—24no—
1418C4⋊C4—24no—
1419C4⋊C4—24no—
1420C4⋊C4—24no—
1421C4⋊C4—22no—
1422C4⋊C4—24no—
1423C4⋊C4—22no—
1424C4⋊C4—22no—
1425C4⋊C4—22no—
1426C4⋊C4—22no—
1427C4⋊C4—24no—
1428C4⋊C4—22no—
1429C4⋊C4—42no—
1430C4⋊C4—44no—
1431C4⋊C4—44no—
1432C4⋊C4—42no—
1433C4⋊C4—42no—
1434C4⋊C4—42no—
1435C4⋊C4—42no—
1436C4⋊C4—44no—
1437C4⋊C4—44no—
1438C4⋊C4—44no—
1439C4⋊C4—42no—
1440C4⋊C4—44no—
1441C4⋊C4—44no—
1442C4⋊C4—44no—
1443C4⋊C4—42no—
1444C4⋊C4—42no—
1445C4⋊C4—41no—
1446C4⋊C4—41no—
1447C4⋊C4—42no—
1448C4⋊C4—42no—
1449C4⋊C4—42no—
1450C4⋊C4—42no—
1451C4⋊C4—42no—
1452C4⋊C4—42no—
1453C4⋊C4—42no—
1454C4⋊C4—42no—
1455C4⋊C4—44no—
1456C4⋊C4—44no—
1457C4⋊C4—44no—
1458C4⋊C4—44no—
1459C4⋊C4—44no—
1460C4⋊C4—42no—
1461C4⋊C4—44no—
1462C4⋊C4—42no—
1463C4⋊C4—42no—
1464C4⋊C4—42no—
1465C4⋊C4C2×#4114yes—
1466C22⋊C4—24no—
1467C22⋊C4—22no—
1468C22⋊C4—22no—
1469C22⋊C4—24no—
1470C22⋊C4—24no—
1471C22⋊C4—24no—
1472C22⋊C4—28no—
1473C22⋊C4—24no—
1474C22⋊C4—28no—
1475C22⋊C4—24no—
1476C22⋊C4—24no—
1477C22⋊C4—24no—
1478C22⋊C4—24no—
1479C22⋊C4—24no—
1480C22⋊C4—24no—
1481C22⋊C4—28no—
1482C22⋊C4—28no—
1483C22⋊C4—24no—
1484C22⋊C4—28no—
1485C22⋊C4—24no—
1486C22⋊C4—42no—
1487C22⋊C4—42no—
1488C22⋊C4—44no—
1489C22⋊C4—42no—
1490C22⋊C4—42no—
1491C22⋊C4—42no—
1492C22⋊C4—42no—
1493C22⋊C4—42no—
1494C22⋊C4—42no—
1495C22⋊C4—42no—
1496C22⋊C4—44no—
1497C22⋊C4—44no—
1498C22⋊C4—44no—
1499C22⋊C4—44no—
1500C22⋊C4—44no—
1501C22⋊C4—44no—
1502C22⋊C4—44no—
1503C22⋊C4—44no—
1504C22⋊C4—44no—
1505C22⋊C4—44no—
1506C22⋊C4—44no—
1507C22⋊C4—44no—
1508C22⋊C4—44no—
1509C22⋊C4—42no—
1510C22⋊C4—44no—
1511C22⋊C4—44no—
1512C22⋊C4—44no—
1513C22⋊C4—42no—
1514C22⋊C4—42no—
1515C22⋊C4—42no—
1516C22⋊C4—42no—
1517C22⋊C4—42no—
1518C22⋊C4—41no—
1519C22⋊C4—41no—
1520C22⋊C4—42no—
1521C22⋊C4—42no—
1522C22⋊C4—44no—
1523C22⋊C4—42no—
1524C22⋊C4—42no—
1525C22⋊C4—42no—
1526C22⋊C4—42no—
1527C22⋊C4—42no—
1528C22⋊C4—44no—
1529C22⋊C4—44no—
1530C22⋊C4—44no—
1531C22⋊C4—44no—
1532C22⋊C4—44no—
1533C22⋊C4—44no—
1534C22⋊C4—44no—
1535C22⋊C4—44no—
1536C22⋊C4—44no—
1537C22⋊C4—42no—
1538C22⋊C4—42no—
1539C22⋊C4—42no—
1540C22⋊C4—44no—
1541C22⋊C4—42no—
1542C22⋊C4C2×#4118yes—
1543C42—22no—
1544C42—22no—
1545C42—22no—
1546C42—22no—
1547C42—22no—
1548C42—24no—
1549C42—24no—
1550C42—22no—
1551C42—22no—
1552C42—24no—
1553C42—24no—
1554C42—22no—
1555C42—22no—
1556C42—22no—
1557C42—22no—
1558C42—42no—
1559C42—42no—
1560C42—42no—
1561C42—42no—
1562C42—41no—
1563C42—41no—
1564C42—44no—
1565C42—44no—
1566C42—44no—
1567C42—41no—
1568C42—41no—
1569C42C2×#4114yes—
1570C23—22no—
1571C23—22no—
1572C23—22no—
1573C23—22no—
1574C23—21no—
1575C23—21no—
1576C23—21no—
1577C23—21no—
1578C23—21no—
1579C23—21no—
1580C23—22no—
1581C23—22no—
1582C23—22no—
1583C23—24no—
1584C23—22no—
1585C23—24no—
1586C23—22no—
1587C23—22no—
1588C23—22no—
1589C23—24no—
1590C23—22no—
1591C23—22no—
1592C23—24no—
1593C23—22no—
1594C23—22no—
1595C23—22no—
1596C23—24no—
1597C23—22no—
1598C23—22no—
1599C23—22no—
1600C23—24no—
1601C23—22no—
1602C23—22no—
1603C23—22no—
1604C23—22no—
1605C23—22no—
1606C23—22no—
1607C23—24no—
1608C23—48no—
1609C23—48no—
1610C23—48no—
1611C23—48no—
1612C23—416no—
1613C23—84no—
1614C23—84no—
1615C23—84no—
1616C23—88no—
1617C23—88no—
1618C23—88no—
1619C23—88no—
1620C23—88no—
1621C23—88no—
1622C23C22×#4114yes—
1623C23C2×H(5,𝔽2)12yes—
1624C23C2×H(5,𝔽2)14yes—
1625C23C2×H(5,𝔽2)14yes—
1626C23C2611yescharacteristic
1627Q8—48no—
1628D4—48no—
1629D4—48no—
1630D4—416no—
1631D4—416no—
1632D4—44no—
1633D4—48no—
1634D4—44no—
1635D4—48no—
1636D4—44no—
1637D4—84no—
1638D4—88no—
1639D4—84no—
1640D4—88no—
1641D4—84no—
1642D4—84no—
1643D4—88no—
1644D4—88no—
1645D4—164no—
1646D4—164no—
1647D4—164no—
1648D4—164no—
1649D4#540116yescomplemented
1650C2×C4—21no—
1651C2×C4—22no—
1652C2×C4—21no—
1653C2×C4—22no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—28no—
1657C2×C4—216no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—24no—
1664C2×C4—21no—
1665C2×C4—22no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—22no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—22no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—22no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—24no—
1687C2×C4—22no—
1688C2×C4—24no—
1689C2×C4—24no—
1690C2×C4—22no—
1691C2×C4—22no—
1692C2×C4—22no—
1693C2×C4—24no—
1694C2×C4—22no—
1695C2×C4—22no—
1696C2×C4—21no—
1697C2×C4—24no—
1698C2×C4—22no—
1699C2×C4—22no—
1700C2×C4—22no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—22no—
1707C2×C4—22no—
1708C2×C4—24no—
1709C2×C4—22no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—22no—
1716C2×C4—22no—
1717C2×C4—24no—
1718C2×C4—22no—
1719C2×C4—24no—
1720C2×C4—22no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—22no—
1727C2×C4—22no—
1728C2×C4—22no—
1729C2×C4—22no—
1730C2×C4—48no—
1731C2×C4—48no—
1732C2×C4—48no—
1733C2×C4—416no—
1734C2×C4—44no—
1735C2×C4—48no—
1736C2×C4—48no—
1737C2×C4—48no—
1738C2×C4—82no—
1739C2×C4—84no—
1740C2×C4—84no—
1741C2×C4—84no—
1742C2×C4—84no—
1743C2×C4—88no—
1744C2×C4—88no—
1745C2×C4—164no—
1746C2×C4—164no—
1747C2×C4—164no—
1748C2×C4C22×#4112yes—
1749C2×C4C22×#4114yes—
1750C2×C4C22×#4112yes—
1751C2×C4C22×#4112yes—
1752C2×C4C2×H(5,𝔽2)12yes—
1753C2×C4C2×H(5,𝔽2)12yes—
1754C2×C4C2×H(5,𝔽2)12yes—
1755C2×C4C2×H(5,𝔽2)12yes—
1756C2×C4#58512yes—
1757C22—24no—
1758C22—24no—
1759C22—24no—
1760C22—24no—
1761C22—24no—
1762C22—24no—
1763C22—22no—
1764C22—22no—
1765C22—22no—
1766C22—41no—
1767C22—41no—
1768C22—41no—
1769C22—41no—
1770C22—42no—
1771C22—42no—
1772C22—44no—
1773C22—42no—
1774C22—44no—
1775C22—42no—
1776C22—42no—
1777C22—42no—
1778C22—42no—
1779C22—42no—
1780C22—42no—
1781C22—44no—
1782C22—44no—
1783C22—42no—
1784C22—42no—
1785C22—42no—
1786C22—44no—
1787C22—42no—
1788C22—42no—
1789C22—42no—
1790C22—42no—
1791C22—42no—
1792C22—42no—
1793C22—44no—
1794C22—42no—
1795C22—42no—
1796C22—42no—
1797C22—44no—
1798C22—816no—
1799C22—1616no—
1800C22C2×#54018yes—
1801C22C23×#4111yescharacteristic
1802C22C22×H(5,𝔽2)11yescharacteristic
1803C22C22×H(5,𝔽2)11yescharacteristic
1804C22C22×H(5,𝔽2)11yescharacteristic
1805C22C2×#58511yescharacteristic
1806C22H(7,𝔽2)11yescharacteristic
1807C222−1+611yescharacteristic
1808C4—22no—
1809C4—24no—
1810C4—22no—
1811C4—42no—
1812C4—41no—
1813C4—41no—
1814C4—41no—
1815C4—42no—
1816C4—42no—
1817C4—44no—
1818C4—42no—
1819C4—41no—
1820C4—41no—
1821C4—42no—
1822C4—42no—
1823C4—42no—
1824C4—42no—
1825C4—44no—
1826C4—41no—
1827C4—41no—
1828C4—41no—
1829C4—41no—
1830C4—42no—
1831C4—42no—
1832C4—41no—
1833C4—42no—
1834C4—44no—
1835C4C2×#54014yes—
1836C4#351314yes—
1837C2—28no—
1838C2—42no—
1839C2—82no—
1840C2—82no—
1841C2—84no—
1842C2—82no—
1843C2C22×#54011yescharacteristic
1844C2C2×#351311yescharacteristic
1845C2#6285711yescharacteristic
1846C2#6291211yescharacteristic
1847C2#6291411yescharacteristic
1848C2#6292011yescharacteristic
1849C2#6292111yescharacteristic
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. #42629C2semidirect
2. #42620C2semidirect
3. #42570C2semidirect
4. #42565C2semidirect
5. #40846C2semidirect
6. #40810C2semidirect
7. #40758C2semidirect
8. #40753C2semidirect
9. #39481C2semidirect
10. #39352C2semidirect
11. #39202C2semidirect
12. #39191C2semidirect
13. #38123C2semidirect
14. #38112C2semidirect
15. #37851C2semidirect
16. #37662C2semidirect
17. #37627C2semidirect
18. #37626C2semidirect
19. #37502C2semidirect
20. #37493C2semidirect
21. #36290C2semidirect
22. #36260C2semidirect
23. #36153C2semidirect
24. D4×#121C2semidirect
25. #35987C2semidirect
26. #35791C2semidirect
27. #35761C2semidirect
28. #35728C2semidirect
29. #35288C2semidirect
30. #35261C2semidirect
31. #34621C2semidirect
32. C2×#2624C2semidirect
33. #34310C2semidirect
34. #34308C2semidirect
35. D4×#117C2semidirect
42. C2×#540C22semidirect
47. C22×#117C22semidirect
48. #2859C22semidirect
49. #2858C22semidirect
50. #2857C22semidirect
52. #2856C22semidirect
53. #2851C22semidirect
55. #2847C22semidirect
56. #2837C22semidirect
57. #2837C22semidirect
58. #2836C22semidirect
59. #2829C22semidirect
60. #2828C22semidirect
61. #2828C22semidirect
62. #2803C22semidirect
63. #2800C22semidirect
64. #2797C22semidirect
65. #2797C22semidirect
66. #2786C22semidirect
67. #2780C22semidirect
68. #2773C22semidirect
69. #2753C22semidirect
70. #2752C22semidirect
71. #2752C22semidirect
72. #2748C22semidirect
73. #2743C22semidirect
74. #2741C22semidirect
75. #2741C22semidirect
76. #2740C22semidirect
77. #2740C22semidirect
78. #2711C22semidirect
79. #2706C22semidirect
80. #2703C22semidirect
81. #2701C22semidirect
82. #2699C22semidirect
83. #2688C22semidirect
84. #2671C22semidirect
85. #2671C22semidirect
86. #2667C22semidirect
87. #2661C22semidirect
88. #2651C22semidirect
89. #2651C22semidirect
90. #2651C22semidirect
91. #2649C22semidirect
92. #2648C22semidirect
93. #2648C22semidirect
94. #2648C22semidirect
95. #2647C22semidirect
96. #2644C22semidirect
97. #2644C22semidirect
98. #2644C22semidirect
99. #2641C22semidirect
100. #2635C22semidirect
101. #2629C22semidirect
102. #2629C22semidirect
103. #2625C22semidirect
106. #2624C22semidirect
107. #2624C22semidirect
108. #2624C22semidirect
109. #2624C22semidirect
110. #2624C22semidirect
111. #2624C22semidirect
112. #2624C22semidirect
113. #2624C22semidirect
114. #2624C22semidirect
115. #2624C22semidirect
116. #2624C22semidirect
117. #2624C22semidirect
118. #2623C22semidirect
119. #2622C22semidirect
120. #2620C22semidirect
122. #2619C22semidirect
123. #2619C22semidirect
124. #2618C22semidirect
125. #2617C22semidirect
126. #2571C22semidirect
127. #2552C22semidirect
128. #2548C22semidirect
129. #2547C22semidirect
130. #2544C22semidirect
131. #2543C22semidirect
132. #2542C22semidirect
134. #2541C22semidirect
135. #2540C22semidirect
136. #2540C22semidirect
137. #2539C22semidirect
138. #2539C22semidirect
140. #2537C22semidirect
141. #2537C22semidirect
142. #2536C22semidirect
143. #2534C22semidirect
144. #2513C22semidirect
145. #2513C22semidirect
146. #2509C22semidirect
147. #2507C22semidirect
148. #2507C22semidirect
149. #2505C22semidirect
150. #2501C22semidirect
151. #2501C22semidirect
152. #2499C22semidirect
153. #2498C22semidirect
154. #2497C22semidirect
155. #2497C22semidirect
156. #2490C22semidirect
157. #2490C22semidirect
158. #2490C22semidirect
159. #2487C22semidirect
160. #2486C22semidirect
161. #2485C22semidirect
162. #2483C22semidirect
163. #2482C22semidirect
164. #2476C22semidirect
165. #2476C22semidirect
166. #2473C22semidirect
167. #2471C22semidirect
168. #2471C22semidirect
169. #2454C22semidirect
170. #2454C22semidirect
171. #2448C22semidirect
172. #2448C22semidirect
173. #2447C22semidirect
174. #2447C22semidirect
175. #2445C22semidirect
176. #2444C22semidirect
177. #2443C22semidirect
178. #2443C22semidirect
179. #2443C22semidirect
180. #2442C22semidirect
181. #2442C22semidirect
182. #2433C22semidirect
184. #2428C22semidirect
185. #2428C22semidirect
186. #2428C22semidirect
187. #2427C22semidirect
188. #2427C22semidirect
189. #2426C22semidirect
190. #2426C22semidirect
191. #2425C22semidirect
192. #2425C22semidirect
194. #2424C22semidirect
195. #2424C22semidirect
196. #2424C22semidirect
197. #2423C22semidirect
198. #2423C22semidirect
199. #2422C22semidirect
200. #2420C22semidirect
201. #2420C22semidirect
202. #2420C22semidirect
203. #2420C22semidirect
204. #2419C22semidirect
205. #2419C22semidirect
206. #2418C22semidirect
207. #2418C22semidirect
208. #2417C22semidirect
211. #2416C22semidirect
212. #2416C22semidirect
213. #2416C22semidirect
214. #2416C22semidirect
215. #2415C22semidirect
216. #2414C22semidirect
217. #2412C22semidirect
218. #2412C22semidirect
219. #2412C22semidirect
220. #2411C22semidirect
221. #2411C22semidirect
223. #2410C22semidirect
225. #2408C22semidirect
226. #2395C22semidirect
227. #2395C22semidirect
228. C2×#399C22semidirect
229. #2392C22semidirect
230. #2392C22semidirect
231. C2×#397C22semidirect
232. C2×#394C22semidirect
233. C2×#394C22semidirect
234. #2366C22semidirect
235. #2365C22semidirect
236. #2363C22semidirect
237. #2361C22semidirect
238. #2361C22semidirect
239. #2360C22semidirect
240. #2359C22semidirect
241. #2358C22semidirect
242. #2354C22semidirect
243. #2354C22semidirect
244. #2354C22semidirect
245. #2352C22semidirect
246. #2352C22semidirect
253. D4×C4⋊C4C22semidirect
254. #2344C22semidirect
255. #2344C22semidirect
256. #2344C22semidirect
257. #2342C22semidirect
258. #2342C22semidirect
265. D4×C22⋊C4C22semidirect
266. #2324C22semidirect
267. #2324C22semidirect
268. #2324C22semidirect
269. #2324C22semidirect
270. #2323C22semidirect
271. #2322C22semidirect
272. #2321C22semidirect
273. #2319C22semidirect
274. #2314C22semidirect
275. C4×C4⋊Q8C22semidirect
276. C4×#127C22semidirect
277. C4×#127C22semidirect
278. C4×#125C22semidirect
280. C4×#121C22semidirect
281. C4×#121C22semidirect
282. C4×#121C22semidirect
283. #2293C22semidirect
284. #2293C22semidirect
285. #2293C22semidirect
286. #2293C22semidirect
287. C2×#390C22semidirect
288. C2×#390C22semidirect
289. C2×#389C22semidirect
290. C2×#389C22semidirect
291. #2290C22semidirect
292. #2290C22semidirect
293. #2285C22semidirect
294. #2280C22semidirect
295. C2×#380C22semidirect
298. C4×#117C22semidirect
1649. D4#540semidirect

Maximal subgroups

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

subgroupindex
#426292
#426202
#425702
#425652
#408462
#408102
#407582
#407532
#394812
#393522
#392022
#391912
#381232
#381122
#378512
#376622
#376272
#376262
#375022
#374932
#362902
#362602
#361532
D4×#1212
#359872
#357912
#357612
#357282
#352882
#352612
#346212
C2×#26242
#343102
#343082
D4×#1172