Finite Group Databasebeta

← #7657666

Subgroups — #7657666

Order 512.

5800 conjugacy classes of subgroups.

The subgroup lattice has 1839 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42977C212yesmaximal, complemented
2#42976C212yesmaximal, complemented
3#42529C212yesmaximal, complemented
4#42524C212yesmaximal, complemented
5#42073C214yesmaximal, complemented
6#42065C214yesmaximal, complemented
7#41058C214yesmaximal, complemented
8#41038C214yesmaximal, complemented
9#39771C211yesmaximal, characteristic, complemented
10#39770C211yesmaximal, characteristic, complemented
11#39419C212yesmaximal, complemented
12#39416C212yesmaximal, complemented
13#39387C211yesmaximal, characteristic, complemented
14#39386C211yesmaximal, characteristic, complemented
15#37751C212yesmaximal, complemented
16#37748C212yesmaximal, complemented
17#37616C211yesmaximal, characteristic, complemented
18#37614C211yesmaximal, characteristic, complemented
19#37587C212yesmaximal, complemented
20#37587C212yesmaximal, complemented
21#36595C211yesmaximal, characteristic, complemented
22#36591C211yesmaximal, characteristic, complemented
23#36128C211yesmaximal, characteristic, complemented
24#36115C211yesmaximal, characteristic, complemented
25#35930C212yesmaximal, complemented
26#35865C212yesmaximal, complemented
27#35808C212yesmaximal, complemented
28#35741C212yesmaximal, complemented
29#35276C212yesmaximal, complemented
30#35274C211yesmaximal, characteristic, complemented
31#34625C211yesmaximal, characteristic, complemented
32#34624C212yesmaximal, complemented
33#34232C211yesmaximal, characteristic, complemented
34#34210C211yesmaximal, characteristic, complemented
35#34151C211yesmaximal, characteristic, complemented
36C2×#559C2212yescomplemented
37C2×#550C2212yescomplemented
38C2×#542C2212yescomplemented
39C2×#540C2212yescomplemented
40C2×#535C2212yes—
41C2×#535C2212yes—
42C2×#532C2211yescharacteristic
43C2×#532C2212yescomplemented
44C22×#127C2211yescharacteristic
45C2×#529C2211yescharacteristic
46C2×#529C2212yescomplemented
47C2×#518C2212yes—
48#2867C2211yescharacteristic
49#2867C2211yescharacteristic
50#2861C2212yescomplemented
51#2858C2211yescharacteristic
52#2858C2211yescharacteristic
53#2858C2212yescomplemented
54#2856C2212yescomplemented
55#2850C2212yescomplemented
56#2829C2214yescomplemented
57#2829C2214yescomplemented
58#2828C2214yescomplemented
59#2828C2214yescomplemented
60#2818C2214yes—
61#2813C2214yes—
62#2796C2214yescomplemented
63#2751C2214yescomplemented
64#2730C2214yescomplemented
65#2709C2214yescomplemented
66#2709C2214yescomplemented
67#2705C2214yescomplemented
68#2703C2214yescomplemented
69#2701C2214yescomplemented
70#2699C2214yescomplemented
71#2697C2214yes—
72#2691C2214yescomplemented
73#2688C2214yescomplemented
74#2686C2214yescomplemented
75#2685C2214yes—
76#2685C2214yes—
77#2684C2214yes—
78#2678C2214yes—
79#2678C2214yes—
80#2673C2214yescomplemented
81#2673C2214yescomplemented
82#2672C2214yescomplemented
83#2671C2214yescomplemented
84#2670C2214yes—
85#2668C2214yes—
86#2667C2212yes—
87#2666C2212yescomplemented
88#2666C2212yescomplemented
89#2665C2212yes—
90#2662C2214yescomplemented
91#2662C2214yescomplemented
92#2661C2214yescomplemented
93#2661C2214yescomplemented
94#2661C2214yescomplemented
95#2661C2214yescomplemented
96#2660C2211yescharacteristic, complemented
97#2660C2211yescharacteristic, complemented
98#2657C2212yes—
99#2657C2212yes—
100#2657C2212yes—
101#2648C2214yescomplemented
102#2648C2214yescomplemented
103#2647C2211yescharacteristic, complemented
104#2647C2211yescharacteristic, complemented
105#2641C2212yes—
106#2641C2212yescomplemented
107#2640C2212yescomplemented
108#2636C2214yescomplemented
109#2635C2214yescomplemented
110#2635C2214yescomplemented
111#2630C2214yescomplemented
112#2630C2214yescomplemented
113#2629C2211yescharacteristic
114#2629C2211yescharacteristic
115#2628C2211yescharacteristic
116#2628C2211yescharacteristic
117#2620C2212yes—
118#2620C2212yescomplemented
119#2620C2212yescomplemented
120#2620C2212yescomplemented
121#2619C2212yes—
122#2619C2212yes—
123#2619C2212yes—
124#2619C2212yescomplemented
125#2613C2214yes—
126#2595C2214yescomplemented
127#2592C2212yescomplemented
128#2580C2212yescomplemented
129#2568C2211yescharacteristic, complemented
130#2566C2212yescomplemented
131#2559C2214yescomplemented
132#2555C2214yescomplemented
133#2555C2214yescomplemented
134#2555C2214yescomplemented
135#2554C2214yescomplemented
136#2554C2214yescomplemented
137#2548C2211yescharacteristic
138#2548C2211yescharacteristic
139#2548C2212yescomplemented
140#2548C2212yescomplemented
141#2548C2212yescomplemented
142#2548C2212yescomplemented
143#2548C2211yescharacteristic, complemented
144#2544C2212yescomplemented
145#2544C2212yescomplemented
146#2544C2214yescomplemented
147#2544C2212yescomplemented
148#2543C2214yescomplemented
149#2542C2211yescharacteristic, complemented
150#2541C2211yescharacteristic
151#2541C2212yes—
152#2541C2212yes—
153#2541C2211yescharacteristic
154#2541C2212yes—
155#2541C2212yes—
156#2541C2212yescomplemented
157#2541C2211yescharacteristic, complemented
158#2541C2212yescomplemented
159#2541C2212yescomplemented
160#2539C2214yes—
161#2538C2212yescomplemented
162#2534C2214yes—
163#2516C2214yescomplemented
164#2513C2212yescomplemented
165#2513C2212yescomplemented
166#2512C2212yescomplemented
167#2512C2212yescomplemented
168#2476C2214yescomplemented
169#2472C2214yes—
170#2471C2214yescomplemented
171#2467C2214yescomplemented
172#2464C2214yescomplemented
173#2464C2214yescomplemented
174#2464C2214yescomplemented
175#2464C2214yescomplemented
176#2464C2214yescomplemented
177#2461C2214yescomplemented
178#2461C2214yescomplemented
179#2457C2214yescomplemented
180#2457C2214yescomplemented
181#2448C2212yescomplemented
182#2448C2212yescomplemented
183#2448C2212yescomplemented
184#2447C2212yescomplemented
185#2447C2212yescomplemented
186#2447C2212yescomplemented
187#2445C2212yescomplemented
188#2445C2212yescomplemented
189#2445C2212yescomplemented
190#2445C2212yescomplemented
191#2445C2212yescomplemented
192#2445C2212yescomplemented
193#2445C2214yescomplemented
194#2445C2212yescomplemented
195#2445C2212yescomplemented
196#2445C2212yescomplemented
197#2445C2212yescomplemented
198#2444C2214yescomplemented
199#2435C2212yes—
200#2433C2212yes—
201#2433C2212yes—
202#2433C2212yes—
203#2433C2212yes—
204#2433C2212yes—
205#2431C2214yescomplemented
206#2430C2214yescomplemented
207#2428C2214yescomplemented
208#2428C2212yescomplemented
209#2428C2212yescomplemented
210#2428C2212yescomplemented
211#2428C2212yescomplemented
212#2427C2212yescomplemented
213#2427C2212yescomplemented
214#2426C2212yescomplemented
215#2426C2212yescomplemented
216#2425C2214yescomplemented
217#2424C2214yes—
218#2424C2214yes—
219#2418C2214yes—
220#2411C2214yes—
221#2408C2212yes—
222#2408C2212yes—
223#2407C2212yes—
224#2407C2212yes—
225#2404C2214yes—
226#2402C2212yescomplemented
227#2399C2212yescomplemented
228#2396C2212yes—
229#2396C2212yes—
230#2392C2214yescomplemented
231#2392C2214yescomplemented
232#2388C2214yescomplemented
233#2388C2214yescomplemented
234#2374C2212yes—
235#2374C2212yes—
236#2373C2212yescomplemented
237#2373C2212yescomplemented
238#2370C2211yescharacteristic, complemented
239#2370C2211yescharacteristic, complemented
240#2367C2211yescharacteristic, complemented
241#2367C2211yescharacteristic, complemented
242#2367C2212yescomplemented
243#2366C2211yescharacteristic
244#2366C2212yes—
245#2366C2212yes—
246#2366C2211yescharacteristic
247#2366C2211yescharacteristic
248#2366C2211yescharacteristic
249#2366C2212yescomplemented
250#2366C2212yescomplemented
251#2366C2212yescomplemented
252#2366C2211yescharacteristic, complemented
253#2366C2211yescharacteristic, complemented
254#2365C2211yescharacteristic, complemented
255#2365C2211yescharacteristic, complemented
256#2363C2211yescharacteristic
257#2363C2211yescharacteristic
258#2363C2212yes—
259#2363C2212yes—
260#2362C2211yescharacteristic
261#2362C2211yescharacteristic
262#2357C2212yescomplemented
263#2354C2212yescomplemented
264#2353C2214yescomplemented
265#2341C2212yes—
266#2339C2212yes—
267D4×C22⋊C4C2214yes—
268D4×C22⋊C4C2212yes—
269D4×C22⋊C4C2212yes—
270#2333C2214yes—
271#2328C2214yes—
272#2328C2212yescomplemented
273#2326C2212yescomplemented
274#2319C2212yescomplemented
275#2309C2212yes—
276C4×C4⋊Q8C2211yescharacteristic, complemented
277C4×C4⋊Q8C2211yescharacteristic, complemented
278C4×#127C2212yes—
279C4×#127C2212yes—
280C4×#127C2212yescomplemented
281C4×#125C2211yescharacteristic, complemented
282C4×#125C2211yescharacteristic, complemented
283C4×#124C2212yescomplemented
284C4×#124C2212yescomplemented
285C4×#124C2212yescomplemented
286#2298C2212yescomplemented
287#2295C2211yescharacteristic, complemented
288#2293C2212yes—
289#2293C2211yescharacteristic, complemented
290#2290C2212yes—
291#2285C2211yescharacteristic
292#2283C2211yescharacteristic
293#2275C2212yescomplemented
294C42×Q8C2211yescharacteristic, complemented
295C42×D4C2211yescharacteristic, complemented
296C4×#117C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C4×#117C2212yescomplemented
299C22×#41C2312yes—
300C22×#41C2314yes—
301C23×D4C2312yes—
302C23×D4C2312yes—
303C23×D4C2312yes—
304#559—48no—
305#550—48no—
306#542—48no—
307#540—48no—
308#535—48no—
309#535—48no—
310#532—28no—
311#532—48no—
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2311yescharacteristic
314C2×C4⋊Q8C2311yescharacteristic
315C2×#127—28no—
316C2×#127C2312yes—
317C2×#127C2312yes—
318C2×#127C2312yes—
319C2×#127C2312yes—
320C2×#127C2311yescharacteristic
321C2×#127C2311yescharacteristic
322C2×#127C2311yescharacteristic
323C2×#127C2312yes—
324C2×#127C2312yes—
325C2×#127C2312yes—
326C2×#127C2312yes—
327C2×#127C2312yes—
328C2×#127C2312yes—
329C2×#127C2312yes—
330C2×#127C2312yes—
331C2×#127C2312yes—
332C2×#127C2312yes—
333C2×#127C2312yes—
334C2×#127C2312yes—
335C2×#127C2312yes—
336C2×#127C2312yes—
337#529—28no—
338#529—48no—
339C2×#126C2312yes—
340C2×#126C2314yes—
341C2×#126C2314yes—
342C2×#125C2311yescharacteristic
343C2×#125C2311yescharacteristic
344C2×#125C2311yescharacteristic
345C2×#124C2312yes—
346C2×#124C2312yes—
347C2×#124C2312yes—
348C2×#124C2311yescharacteristic
349C2×#124C2312yes—
350C2×#124C2312yes—
351C2×#124C2312yes—
352C2×#124C2314yes—
353C2×#124C2312yes—
354C2×#124C2312yes—
355C2×#124C2314yes—
356C2×#124C2314yes—
357C2×#124C2314yes—
358C2×#123C2312yes—
359C2×#123C2314yes—
360C2×#123C2314yes—
361C2×#123C2314yes—
362C2×#123C2314yes—
363C2×#123C2314yes—
364C2×#123C2314yes—
365C2×#123C2314yes—
366C2×#123C2314yes—
367C2×C22⋊Q8C2311yescharacteristic
368C2×C22⋊Q8C2312yes—
369C2×C22⋊Q8C2312yes—
370C2×C22⋊Q8C2314yes—
371C2×#121C2312yes—
372C2×#121C2311yescharacteristic
373C2×#121C2312yes—
374C2×#121C2312yes—
375C2×#121C2312yes—
376C2×#121C2312yes—
377C2×#121C2314yes—
378C2×#121C2312yes—
379C2×#121C2312yes—
380C2×#121C2312yes—
381C2×#121C2314yes—
382C2×#121C2314yes—
383C2×#121C2314yes—
384C2×#121C2314yes—
385C2×#121C2314yes—
386C2×#121C2314yes—
387C2×#121C2314yes—
388C2×#121C2314yes—
389C2×#121C2314yes—
390C2×#121C2314yes—
391C2×#121C2314yes—
392C2×#121C2314yes—
393C2×#120C2314yes—
394C2×#120C2314yes—
395C2×#120C2314yes—
396C2×#120C2314yes—
397C2×#120C2314yes—
398C2×#120C2314yes—
399#518—48no—
400C2×C4×Q8C2311yescharacteristic
401C2×C4×Q8C2311yescharacteristic
402C2×C4×Q8C2312yes—
403C2×C4×Q8C2312yes—
404C2×C4×Q8C2312yes—
405C2×C4×Q8C2312yes—
406C2×C4×Q8C2311yescharacteristic
407C2×C4×D4C2312yes—
408C2×C4×D4C2312yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2311yescharacteristic
413C2×C4×D4C2312yes—
414C2×C4×D4C2311yescharacteristic
415C2×C4×D4C2312yes—
416C2×C4×D4C2312yes—
417C2×C4×D4C2314yes—
418C2×C4×D4C2314yes—
419C2×C4×D4C2312yes—
420C2×C4×D4C2312yes—
421C2×C4×D4C2312yes—
422C2×C4×D4C2314yes—
423C2×C4×D4C2312yes—
424C2×C4×D4C2312yes—
425C2×C4×D4C2312yes—
426C2×C4×D4C2311yescharacteristic
427C2×C4×D4C2312yes—
428C2×C4×D4C2314yes—
429C2×C4×D4C2314yes—
430C2×C4×D4C2314yes—
431C2×C4×D4C2314yes—
432C2×C4×D4C2314yes—
433C2×#117C2311yescharacteristic
434C2×#117C2312yes—
435C2×#117C2312yes—
436C2×#117C2311yescharacteristic
437C2×#117C2311yescharacteristic
438C2×#117C2311yescharacteristic
439C2×#117C2312yes—
440C2×#117C2314yes—
441C22×C22⋊C4C2314yes—
442C22×C22⋊C4C2314yes—
443C22×C42C2312yes—
444C22×C42C2311yescharacteristic
445#400C2314yes—
446#400C2312yes—
447#400C2312yes—
448#400C2312yes—
449#400C2312yes—
450#400C2312yes—
451#400C2312yes—
452#399C2314yes—
453#399C2314yes—
454#399C2312yes—
455#399C2312yes—
456#399C2314yes—
457#398C2312yes—
458#398C2312yes—
459#398C2312yes—
460#398C2312yes—
461#398C2312yes—
462#398C2312yes—
463#398C2312yes—
464#398C2312yes—
465#398C2312yes—
466#398C2312yes—
467#398C2312yes—
468#398C2312yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#397C2314yes—
477#397C2314yes—
478#397C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#396C2314yes—
487#396C2312yes—
488#396C2312yes—
489#396C2312yes—
490#396C2312yes—
491#395C2312yes—
492#395C2312yes—
493#395C2312yes—
494#395C2312yes—
495#395C2312yes—
496#395C2312yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#394C2314yes—
536#393C2314yes—
537#393C2314yes—
538#393C2312yes—
539#393C2312yes—
540#392C2314yes—
541#392C2314yes—
542#392C2314yes—
543#392C2314yes—
544#392C2314yes—
545#392C2314yes—
546#392C2314yes—
547#392C2314yes—
548#392C2314yes—
549#392C2314yes—
550#392C2314yes—
551#392C2314yes—
552#392C2314yes—
553#392C2314yes—
554#392C2314yes—
555#392C2314yes—
556#392C2314yes—
557#392C2314yes—
558#392C2314yes—
559#392C2314yes—
560#392C2314yes—
561#392C2314yes—
562#392C2314yes—
563#392C2314yes—
564#392C2314yes—
565#391C2312yes—
566#391C2312yes—
567#391C2312yes—
568#391C2312yes—
569#391C2312yes—
570#391C2311yescharacteristic
571#391C2312yes—
572#391C2312yes—
573#391C2311yescharacteristic
574#390C2314yes—
575#390C2314yes—
576#390C2314yes—
577#390C2312yes—
578#390C2312yes—
579#390C2312yes—
580#390C2312yes—
581#390C2314yes—
582#390C2312yes—
583#390C2312yes—
584#390C2314yes—
585#390C2314yes—
586#390C2312yes—
587#390C2312yes—
588#390C2312yes—
589#390C2312yes—
590#390C2312yes—
591#390C2312yes—
592#390C2312yes—
593#390C2312yes—
594#390C2312yes—
595#390C2312yes—
596#390C2312yes—
597#390C2312yes—
598#390C2312yes—
599#390C2314yes—
600#390C2314yes—
601#390C2312yes—
602#390C2312yes—
603#390C2312yes—
604#390C2314yes—
605#390C2314yes—
606#390C2312yes—
607#390C2312yes—
608#390C2312yes—
609#390C2312yes—
610#390C2312yes—
611#390C2312yes—
612#390C2314yes—
613#390C2314yes—
614#390C2312yes—
615#390C2312yes—
616#390C2311yescharacteristic
617#390C2311yescharacteristic
618#390C2312yes—
619#390C2312yes—
620#390C2312yes—
621#390C2312yes—
622#390C2312yes—
623#390C2314yes—
624#390C2314yes—
625#389C2311yescharacteristic
626#389C2311yescharacteristic
627#389C2311yescharacteristic
628#389C2311yescharacteristic
629#389C2311yescharacteristic
630#389C2311yescharacteristic
631#389C2311yescharacteristic
632#389C2311yescharacteristic
633#389C2312yes—
634#389C2312yes—
635#389C2312yes—
636#389C2312yes—
637#389C2311yescharacteristic
638#389C2311yescharacteristic
639#389C2311yescharacteristic
640#389C2311yescharacteristic
641#389C2312yes—
642#389C2312yes—
643#388C2312yes—
644#388C2312yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2312yes—
663#388C2312yes—
664#388C2312yes—
665#388C2312yes—
666#388C2312yes—
667#388C2312yes—
668#388C2312yes—
669#388C2312yes—
670#388C2312yes—
671#388C2312yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#387C2312yes—
676#387C2312yes—
677#387C2312yes—
678#387C2312yes—
679#387C2312yes—
680#387C2312yes—
681#387C2314yes—
682#387C2314yes—
683#387C2312yes—
684#387C2312yes—
685#387C2312yes—
686#387C2312yes—
687#387C2312yes—
688#387C2312yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
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#386C2312yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2314yes—
715#386C2314yes—
716#386C2314yes—
717#386C2314yes—
718#386C2314yes—
719#386C2314yes—
720#386C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2314yes—
724#385C2314yes—
725#385C2314yes—
726#385C2314yes—
727#385C2312yes—
728#385C2312yes—
729#384C2311yescharacteristic
730#384C2311yescharacteristic
731#384C2311yescharacteristic
732#384C2311yescharacteristic
733#384C2312yes—
734#383C2312yes—
735#382C2311yescharacteristic
736#382C2311yescharacteristic
737#382C2312yes—
738#382C2312yes—
739#382C2311yescharacteristic
740#382C2311yescharacteristic
741#381C2314yes—
742#381C2312yes—
743#381C2314yes—
744#381C2314yes—
745#380C2314yes—
746#380C2311yescharacteristic
747#380C2311yescharacteristic
748#380C2312yes—
749#380C2311yescharacteristic
750#380C2311yescharacteristic
751#380C2314yes—
752#380C2314yes—
753#379C2314yes—
754#379C2314yes—
755#379C2314yes—
756#379C2314yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812#376C2312yes—
813#376C2312yes—
814#376C2312yes—
815#376C2311yescharacteristic
816#376C2311yescharacteristic
817C2×#95C2314yes—
818C43C2311yescharacteristic
819C43C2311yescharacteristic
820C43C2312yes—
821C43C2312yes—
822C25C2414yes—
823C2×#41—28no—
824C2×#41—48no—
825C2×#41—48no—
826C2×#41—44no—
827C2×#41—44no—
828C2×#41—84no—
829C22×Q8C2411yescharacteristic
830C22×Q8C2412yes—
831C22×Q8C2412yes—
832C22×Q8C2412yes—
833C22×D4—28no—
834C22×D4—28no—
835C22×D4—28no—
836C22×D4—44no—
837C22×D4—44no—
838C22×D4—44no—
839C22×D4—44no—
840C22×D4—82no—
841C22×D4—82no—
842C22×D4C2411yescharacteristic
843C22×D4C2412yes—
844C22×D4C2412yes—
845C22×D4C2412yes—
846C22×D4C2412yes—
847C22×D4C2412yes—
848C22×D4C2412yes—
849C22×D4C2414yes—
850C22×D4C2414yes—
851C22×D4C2412yes—
852C22×D4C2414yes—
853C22×D4C2414yes—
854C22×D4C2414yes—
855C22×D4C2412yes—
856C22×D4C2414yes—
857C22×D4C2414yes—
858C22×D4C2414yes—
859C22×D4C2412yes—
860C22×D4C2412yes—
861C22×D4C2414yes—
862C22×D4C2414yes—
863C22×D4C2414yes—
864C22×D4C2414yes—
865C22×D4C2414yes—
866C22×D4C2414yes—
867C22×D4C2414yes—
868C22×D4C2414yes—
869C22×D4C2414yes—
870C22×D4C2414yes—
871C23×C4C2412yes—
872C23×C4C2412yes—
873C23×C4C2411yescharacteristic
874C23×C4C2411yescharacteristic
875C23×C4C2414yes—
876C23×C4C2414yes—
877C23×C4C2414yes—
878C23×C4C2414yes—
879C23×C4C2412yes—
880C23×C4C2414yes—
881C23×C4C2414yes—
882C23×C4C2414yes—
883C23×C4C2411yescharacteristic
884C4⋊Q8—24no—
885C4⋊Q8—24no—
886C4⋊Q8—24no—
887#127—28no—
888#127—28no—
889#127—28no—
890#127—24no—
891#127—24no—
892#127—24no—
893#127—28no—
894#127—28no—
895#127—44no—
896#127—44no—
897#127—44no—
898#127—44no—
899#127—44no—
900#127—44no—
901#127—44no—
902#127—44no—
903#127—44no—
904#127—82no—
905#127—82no—
906#127—82no—
907#127—82no—
908#126—28no—
909#126—48no—
910#126—48no—
911#125—24no—
912#125—24no—
913#125—24no—
914#124—24no—
915#124—28no—
916#124—28no—
917#124—28no—
918#124—48no—
919#124—44no—
920#124—48no—
921#124—44no—
922#124—44no—
923#124—44no—
924#124—44no—
925#124—48no—
926#124—84no—
927#123—28no—
928#123—48no—
929#123—48no—
930#123—48no—
931#123—48no—
932#123—48no—
933#123—48no—
934#123—84no—
935#123—84no—
936C22⋊Q8—24no—
937C22⋊Q8—48no—
938C22⋊Q8—44no—
939C22⋊Q8—44no—
940#121—24no—
941#121—28no—
942#121—28no—
943#121—48no—
944#121—48no—
945#121—48no—
946#121—48no—
947#121—48no—
948#121—48no—
949#121—48no—
950#121—48no—
951#121—48no—
952#121—44no—
953#121—44no—
954#121—44no—
955#121—48no—
956#121—44no—
957#121—44no—
958#121—44no—
959#121—84no—
960#121—84no—
961#121—84no—
962#120—48no—
963#120—48no—
964#120—48no—
965#120—48no—
966#120—84no—
967#120—84no—
968C4×Q8—24no—
969C4×Q8—24no—
970C4×Q8—44no—
971C4×Q8—44no—
972C4×Q8—42no—
973C4×Q8—44no—
974C4×Q8—44no—
975C4×D4—28no—
976C4×D4—28no—
977C4×D4—28no—
978C4×D4—24no—
979C4×D4—28no—
980C4×D4—24no—
981C4×D4—28no—
982C4×D4—28no—
983C4×D4—48no—
984C4×D4—44no—
985C4×D4—42no—
986C4×D4—44no—
987C4×D4—44no—
988C4×D4—44no—
989C4×D4—48no—
990C4×D4—44no—
991C4×D4—44no—
992C4×D4—44no—
993C4×D4—44no—
994C4×D4—44no—
995C4×D4—48no—
996C4×D4—48no—
997C4×D4—48no—
998C4×D4—84no—
999C4×D4—84no—
1000C4×D4—84no—
1001#117—24no—
1002#117—28no—
1003#117—24no—
1004#117—24no—
1005#117—28no—
1006#117—44no—
1007#117—48no—
1008#117—42no—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C4⋊C4C2411yescharacteristic
1023C2×C4⋊C4C2411yescharacteristic
1024C2×C4⋊C4C2411yescharacteristic
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2411yescharacteristic
1027C2×C4⋊C4C2411yescharacteristic
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2411yescharacteristic
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2411yescharacteristic
1034C2×C4⋊C4C2411yescharacteristic
1035C2×C4⋊C4C2411yescharacteristic
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2414yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2414yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2414yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2411yescharacteristic
1065C2×C22⋊C4—48no—
1066C2×C22⋊C4—48no—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2411yescharacteristic
1071C2×C22⋊C4C2411yescharacteristic
1072C2×C22⋊C4C2411yescharacteristic
1073C2×C22⋊C4C2411yescharacteristic
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2414yes—
1136C2×C42—28no—
1137C2×C42#4118yescomplemented
1138C2×C42C2412yes—
1139C2×C42C2412yes—
1140C2×C42C2412yes—
1141C2×C42C2412yes—
1142C2×C42C2412yes—
1143C2×C42C2412yes—
1144C2×C42C2411yescharacteristic
1145C2×C42C2411yescharacteristic
1146C2×C42C2412yes—
1147C2×C42C2412yes—
1148C2×C42C2412yes—
1149C2×C42C2411yescharacteristic
1150C2×C42C2412yes—
1151C2×C42C2411yescharacteristic
1152C2×C42C2411yescharacteristic
1153C2×C42C2411yescharacteristic
1154C2×C42C2412yes—
1155C2×C42C2414yes—
1156C2×C42C2412yes—
1157C2×C42C2412yes—
1158C2×C42C2412yes—
1159C2×C42C2412yes—
1160C2×C42C2414yes—
1161C2×C42C2412yes—
1162C2×C42C2412yes—
1163C2×C42C2411yescharacteristic
1164C2×C42C2411yescharacteristic
1165C2×C42C2411yescharacteristic
1166C2×C42C2411yescharacteristic
1167C2×C42C2411yescharacteristic
1168C2×C42C2411yescharacteristic
1169C2×C42C2411yescharacteristic
1170C2×C42C2411yescharacteristic
1171C2×C42C2411yescharacteristic
1172C2×C42C2411yescharacteristic
1173#95C2412yes—
1174#95C2412yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2412yes—
1178#95C2411yescharacteristic
1179#95C2411yescharacteristic
1180#95C2411yescharacteristic
1181#95C2411yescharacteristic
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2411yescharacteristic
1192#95C2411yescharacteristic
1193#95C2411yescharacteristic
1194#95C2411yescharacteristic
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2414yes—
1205#95C2414yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2412yes—
1215#95C2412yes—
1216#95C2412yes—
1217#95C2412yes—
1218#95C2412yes—
1219#95C2412yes—
1220#95C2412yes—
1221#95C2412yes—
1222#95C2412yes—
1223#95C2412yes—
1224#95C2412yes—
1225#95C2412yes—
1226#95C2412yes—
1227#95C2414yes—
1228#95C2414yes—
1229C24—28no—
1230C24—44no—
1231C24—44no—
1232C24—44no—
1233C24—44no—
1234C24—44no—
1235C24—44no—
1236C24C2514yes—
1237C24C2514yes—
1238C24C2512yes—
1239C24C2514yes—
1240C24C2511yescharacteristic
1241#41—816no—
1242#41—832no—
1243C2×Q8—22no—
1244C2×Q8—24no—
1245C2×Q8—22no—
1246C2×Q8—24no—
1247C2×Q8—24no—
1248C2×Q8—24no—
1249C2×Q8—24no—
1250C2×Q8—22no—
1251C2×Q8—42no—
1252C2×Q8—42no—
1253C2×Q8—42no—
1254C2×Q8—42no—
1255C2×D4—24no—
1256C2×D4—28no—
1257C2×D4—22no—
1258C2×D4—24no—
1259C2×D4—24no—
1260C2×D4—28no—
1261C2×D4—28no—
1262C2×D4—24no—
1263C2×D4—24no—
1264C2×D4—24no—
1265C2×D4—24no—
1266C2×D4—24no—
1267C2×D4—24no—
1268C2×D4—24no—
1269C2×D4—28no—
1270C2×D4—24no—
1271C2×D4—24no—
1272C2×D4—24no—
1273C2×D4—22no—
1274C2×D4—24no—
1275C2×D4—24no—
1276C2×D4—24no—
1277C2×D4—24no—
1278C2×D4—24no—
1279C2×D4—24no—
1280C2×D4—28no—
1281C2×D4—28no—
1282C2×D4—28no—
1283C2×D4—28no—
1284C2×D4—22no—
1285C2×D4—24no—
1286C2×D4—24no—
1287C2×D4—24no—
1288C2×D4—44no—
1289C2×D4—44no—
1290C2×D4—44no—
1291C2×D4—44no—
1292C2×D4—432no—
1293C2×D4—44no—
1294C2×D4—44no—
1295C2×D4—44no—
1296C2×D4—44no—
1297C2×D4—44no—
1298C2×D4—42no—
1299C2×D4—42no—
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—44no—
1310C2×D4—44no—
1311C2×D4—44no—
1312C2×D4—44no—
1313C2×D4—44no—
1314C2×D4—44no—
1315C2×D4—42no—
1316C2×D4—42no—
1317C2×D4—42no—
1318C2×D4—42no—
1319C2×D4—42no—
1320C2×D4—42no—
1321C2×D4—44no—
1322C2×D4—44no—
1323C2×D4—44no—
1324C2×D4—44no—
1325C2×D4—44no—
1326C2×D4—44no—
1327C2×D4—44no—
1328C2×D4—44no—
1329C2×D4—44no—
1330C2×D4—44no—
1331C2×D4—44no—
1332C2×D4—44no—
1333C2×D4—44no—
1334C2×D4—44no—
1335C2×D4—44no—
1336C2×D4—44no—
1337C2×D4—44no—
1338C2×D4—44no—
1339C2×D4—44no—
1340C2×D4—44no—
1341C2×D4—44no—
1342C2×D4—44no—
1343C2×D4—816no—
1344C2×D4—816no—
1345C22×C4—22no—
1346C22×C4—22no—
1347C22×C4—22no—
1348C22×C4—22no—
1349C22×C4—24no—
1350C22×C4—24no—
1351C22×C4—24no—
1352C22×C4—24no—
1353C22×C4—24no—
1354C22×C4—28no—
1355C22×C4—24no—
1356C22×C4—28no—
1357C22×C4—28no—
1358C22×C4—28no—
1359C22×C4—41no—
1360C22×C4—41no—
1361C22×C4—42no—
1362C22×C4—44no—
1363C22×C4—44no—
1364C22×C4—44no—
1365C22×C4—42no—
1366C22×C4—44no—
1367C22×C4—44no—
1368C22×C4—44no—
1369C22×C4—44no—
1370C22×C4—44no—
1371C22×C4—42no—
1372C22×C4—44no—
1373C22×C4—44no—
1374C22×C4—44no—
1375C22×C4—44no—
1376C22×C4—44no—
1377C22×C4—44no—
1378C22×C4—44no—
1379C22×C4—44no—
1380C22×C4—44no—
1381C22×C4C2×#4114yes—
1382C22×C4C2×#4114yes—
1383C22×C4C2×#4114yes—
1384C22×C4C2511yescharacteristic
1385C22×C4C2511yescharacteristic
1386C22×C4C2512yes—
1387C22×C4C2512yes—
1388C22×C4C2512yes—
1389C22×C4C2512yes—
1390C22×C4C2512yes—
1391C22×C4C2512yes—
1392C22×C4C2512yes—
1393C22×C4C2512yes—
1394C22×C4C2511yescharacteristic
1395C22×C4C2511yescharacteristic
1396C22×C4C2514yes—
1397C22×C4C2512yes—
1398C22×C4C2512yes—
1399C22×C4C2512yes—
1400C22×C4C2512yes—
1401C22×C4C2512yes—
1402C22×C4C2512yes—
1403C22×C4C2511yescharacteristic
1404C22×C4C2511yescharacteristic
1405C22×C4C2511yescharacteristic
1406C22×C4C2511yescharacteristic
1407C22×C4C2511yescharacteristic
1408C22×C4C2511yescharacteristic
1409C22×C4C2512yes—
1410C22×C4C2511yescharacteristic
1411C22×C4C2511yescharacteristic
1412C22×C4C2511yescharacteristic
1413C22×C4C2511yescharacteristic
1414C4⋊C4—24no—
1415C4⋊C4—24no—
1416C4⋊C4—24no—
1417C4⋊C4—24no—
1418C4⋊C4—22no—
1419C4⋊C4—24no—
1420C4⋊C4—22no—
1421C4⋊C4—24no—
1422C4⋊C4—22no—
1423C4⋊C4—22no—
1424C4⋊C4—22no—
1425C4⋊C4—22no—
1426C4⋊C4—22no—
1427C4⋊C4—24no—
1428C4⋊C4—24no—
1429C4⋊C4—24no—
1430C4⋊C4—22no—
1431C4⋊C4—22no—
1432C4⋊C4—24no—
1433C4⋊C4—22no—
1434C4⋊C4—22no—
1435C4⋊C4—22no—
1436C4⋊C4—22no—
1437C4⋊C4—24no—
1438C4⋊C4—24no—
1439C4⋊C4—22no—
1440C4⋊C4—22no—
1441C4⋊C4—24no—
1442C4⋊C4—24no—
1443C4⋊C4—24no—
1444C4⋊C4—22no—
1445C4⋊C4—22no—
1446C4⋊C4—42no—
1447C4⋊C4—42no—
1448C4⋊C4—44no—
1449C4⋊C4—42no—
1450C4⋊C4—42no—
1451C4⋊C4—42no—
1452C4⋊C4—42no—
1453C4⋊C4—42no—
1454C4⋊C4—42no—
1455C4⋊C4—42no—
1456C4⋊C4—42no—
1457C4⋊C4—44no—
1458C4⋊C4—42no—
1459C4⋊C4—42no—
1460C4⋊C4—44no—
1461C4⋊C4—42no—
1462C4⋊C4—42no—
1463C4⋊C4—42no—
1464C4⋊C4—44no—
1465C4⋊C4—42no—
1466C4⋊C4—42no—
1467C4⋊C4—42no—
1468C4⋊C4—42no—
1469C4⋊C4H(5,𝔽2)14yes—
1470C22⋊C4—24no—
1471C22⋊C4—24no—
1472C22⋊C4—24no—
1473C22⋊C4—28no—
1474C22⋊C4—28no—
1475C22⋊C4—24no—
1476C22⋊C4—24no—
1477C22⋊C4—24no—
1478C22⋊C4—28no—
1479C22⋊C4—28no—
1480C22⋊C4—22no—
1481C22⋊C4—22no—
1482C22⋊C4—22no—
1483C22⋊C4—22no—
1484C22⋊C4—24no—
1485C22⋊C4—24no—
1486C22⋊C4—28no—
1487C22⋊C4—24no—
1488C22⋊C4—28no—
1489C22⋊C4—28no—
1490C22⋊C4—28no—
1491C22⋊C4—28no—
1492C22⋊C4—42no—
1493C22⋊C4—42no—
1494C22⋊C4—44no—
1495C22⋊C4—44no—
1496C22⋊C4—42no—
1497C22⋊C4—44no—
1498C22⋊C4—44no—
1499C22⋊C4—42no—
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—44no—
1510C22⋊C4—44no—
1511C22⋊C4—44no—
1512C22⋊C4—44no—
1513C22⋊C4—44no—
1514C22⋊C4—44no—
1515C22⋊C4—44no—
1516C22⋊C4—44no—
1517C22⋊C4—44no—
1518C22⋊C4—44no—
1519C22⋊C4—44no—
1520C22⋊C4—44no—
1521C22⋊C4—42no—
1522C22⋊C4—42no—
1523C22⋊C4—44no—
1524C22⋊C4—44no—
1525C22⋊C4—44no—
1526C22⋊C4—44no—
1527C22⋊C4—44no—
1528C22⋊C4—44no—
1529C22⋊C4—42no—
1530C22⋊C4—42no—
1531C22⋊C4—44no—
1532C22⋊C4—44no—
1533C22⋊C4—44no—
1534C22⋊C4—44no—
1535C22⋊C4—44no—
1536C22⋊C4—44no—
1537C22⋊C4—44no—
1538C22⋊C4—44no—
1539C42—24no—
1540C42—24no—
1541C42—24no—
1542C42—24no—
1543C42—24no—
1544C42—24no—
1545C42—22no—
1546C42—22no—
1547C42—24no—
1548C42—24no—
1549C42—24no—
1550C42—22no—
1551C42—24no—
1552C42—22no—
1553C42—24no—
1554C42—22no—
1555C42—22no—
1556C42—42no—
1557C42—44no—
1558C42—42no—
1559C42—42no—
1560C42—42no—
1561C42—42no—
1562C42—44no—
1563C42—42no—
1564C42—41no—
1565C42—41no—
1566C42—41no—
1567C42—41no—
1568C42C2×#4114yes—
1569C42C2×#4114yes—
1570C42C2×#4114yes—
1571C42C2×#4114yes—
1572C42H(5,𝔽2)14yes—
1573C42H(5,𝔽2)14yes—
1574C23—21no—
1575C23—21no—
1576C23—21no—
1577C23—21no—
1578C23—21no—
1579C23—21no—
1580C23—22no—
1581C23—24no—
1582C23—24no—
1583C23—24no—
1584C23—22no—
1585C23—24no—
1586C23—24no—
1587C23—24no—
1588C23—24no—
1589C23—24no—
1590C23—22no—
1591C23—24no—
1592C23—24no—
1593C23—22no—
1594C23—24no—
1595C23—24no—
1596C23—24no—
1597C23—22no—
1598C23—24no—
1599C23—24no—
1600C23—24no—
1601C23—24no—
1602C23—24no—
1603C23—24no—
1604C23—24no—
1605C23—24no—
1606C23—22no—
1607C23—22no—
1608C23—416no—
1609C23—88no—
1610C23—88no—
1611C23—164no—
1612C23—164no—
1613C23—164no—
1614C23—164no—
1615C23C22×#4112yes—
1616C23C2611yescharacteristic
1617Q8—48no—
1618Q8—44no—
1619Q8—48no—
1620Q8—84no—
1621D4—416no—
1622D4—416no—
1623D4—44no—
1624D4—48no—
1625D4—48no—
1626D4—48no—
1627D4—48no—
1628D4—48no—
1629D4—48no—
1630D4—84no—
1631D4—88no—
1632D4—88no—
1633D4—88no—
1634D4—88no—
1635D4—84no—
1636D4—84no—
1637D4—88no—
1638D4—84no—
1639D4—88no—
1640D4—88no—
1641D4—88no—
1642D4—88no—
1643D4—164no—
1644D4—164no—
1645D4—164no—
1646D4—164no—
1647D4—164no—
1648D4—164no—
1649D4—164no—
1650C2×C4—21no—
1651C2×C4—22no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—22no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—28no—
1669C2×C4—28no—
1670C2×C4—22no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—24no—
1674C2×C4—22no—
1675C2×C4—22no—
1676C2×C4—22no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—21no—
1681C2×C4—22no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—22no—
1687C2×C4—22no—
1688C2×C4—22no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—21no—
1692C2×C4—22no—
1693C2×C4—22no—
1694C2×C4—24no—
1695C2×C4—24no—
1696C2×C4—22no—
1697C2×C4—22no—
1698C2×C4—22no—
1699C2×C4—22no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—22no—
1703C2×C4—22no—
1704C2×C4—22no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—22no—
1708C2×C4—22no—
1709C2×C4—22no—
1710C2×C4—22no—
1711C2×C4—22no—
1712C2×C4—22no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—22no—
1720C2×C4—22no—
1721C2×C4—22no—
1722C2×C4—22no—
1723C2×C4—22no—
1724C2×C4—22no—
1725C2×C4—22no—
1726C2×C4—22no—
1727C2×C4—44no—
1728C2×C4—48no—
1729C2×C4—48no—
1730C2×C4—88no—
1731C2×C4—84no—
1732C2×C4—88no—
1733C2×C4—88no—
1734C2×C4—88no—
1735C2×C4—164no—
1736C2×C4—164no—
1737C2×C4—164no—
1738C2×C4C22×#4112yes—
1739C2×C4C22×#4112yes—
1740C2×C4C22×#4112yes—
1741C2×C4C22×#4112yes—
1742C2×C4C22×#4112yes—
1743C2×C4C22×#4112yes—
1744C2×C4C2×H(5,𝔽2)12yes—
1745C2×C4C2×H(5,𝔽2)12yes—
1746C2×C4C2×H(5,𝔽2)14yes—
1747C2×C4C2×H(5,𝔽2)12yes—
1748C2×C4C2×H(5,𝔽2)12yes—
1749C2×C4C2×H(5,𝔽2)12yes—
1750C2×C4C2×H(5,𝔽2)12yes—
1751C2×C4C2×H(5,𝔽2)12yes—
1752C2×C4#58512yes—
1753C22—22no—
1754C22—22no—
1755C22—22no—
1756C22—41no—
1757C22—41no—
1758C22—41no—
1759C22—41no—
1760C22—42no—
1761C22—44no—
1762C22—44no—
1763C22—44no—
1764C22—44no—
1765C22—44no—
1766C22—44no—
1767C22—42no—
1768C22—42no—
1769C22—44no—
1770C22—44no—
1771C22—44no—
1772C22—44no—
1773C22—44no—
1774C22—44no—
1775C22—42no—
1776C22—44no—
1777C22—44no—
1778C22—42no—
1779C22—44no—
1780C22—42no—
1781C22—44no—
1782C22—44no—
1783C22—44no—
1784C22—44no—
1785C22—44no—
1786C22—42no—
1787C22—44no—
1788C22—1616no—
1789C22C23×#4111yescharacteristic
1790C22C22×H(5,𝔽2)11yescharacteristic
1791C22C22×H(5,𝔽2)11yescharacteristic
1792C22C22×H(5,𝔽2)11yescharacteristic
1793C22C2×#58511yescharacteristic
1794C22H(7,𝔽2)11yescharacteristic
1795C22H(7,𝔽2)11yescharacteristic
1796C4—22no—
1797C4—22no—
1798C4—22no—
1799C4—22no—
1800C4—24no—
1801C4—22no—
1802C4—22no—
1803C4—22no—
1804C4—22no—
1805C4—42no—
1806C4—44no—
1807C4—42no—
1808C4—42no—
1809C4—42no—
1810C4—42no—
1811C4—41no—
1812C4—42no—
1813C4—42no—
1814C4—42no—
1815C4—41no—
1816C4—42no—
1817C4—42no—
1818C4—42no—
1819C4—42no—
1820C4—41no—
1821C4—42no—
1822C4—42no—
1823C4—41no—
1824C4#346014yes—
1825C4#350814yes—
1826C2—42no—
1827C2—82no—
1828C2—84no—
1829C2—84no—
1830C2—84no—
1831C2C2×#346011yescharacteristic
1832C2C2×#350811yescharacteristic
1833C2#6285511yescharacteristic
1834C2#6291211yescharacteristic
1835C2#6291611yescharacteristic
1836C2#6295511yescharacteristic
1837C2#6296111yescharacteristic
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. #42977C2semidirect
2. #42976C2semidirect
3. #42529C2semidirect
4. #42524C2semidirect
5. #42073C2semidirect
6. #42065C2semidirect
7. #41058C2semidirect
8. #41038C2semidirect
9. #39771C2semidirect
10. #39770C2semidirect
11. #39419C2semidirect
12. #39416C2semidirect
13. #39387C2semidirect
14. #39386C2semidirect
15. #37751C2semidirect
16. #37748C2semidirect
17. #37616C2semidirect
18. #37614C2semidirect
19. #37587C2semidirect
20. #37587C2semidirect
21. #36595C2semidirect
22. #36591C2semidirect
23. #36128C2semidirect
24. #36115C2semidirect
25. #35930C2semidirect
26. #35865C2semidirect
27. #35808C2semidirect
28. #35741C2semidirect
29. #35276C2semidirect
30. #35274C2semidirect
31. #34625C2semidirect
32. #34624C2semidirect
33. #34232C2semidirect
34. #34210C2semidirect
35. #34151C2semidirect
36. C2×#559C22semidirect
37. C2×#550C22semidirect
38. C2×#542C22semidirect
39. C2×#540C22semidirect
43. C2×#532C22semidirect
46. C2×#529C22semidirect
50. #2861C22semidirect
53. #2858C22semidirect
54. #2856C22semidirect
55. #2850C22semidirect
56. #2829C22semidirect
57. #2829C22semidirect
58. #2828C22semidirect
59. #2828C22semidirect
62. #2796C22semidirect
63. #2751C22semidirect
64. #2730C22semidirect
65. #2709C22semidirect
66. #2709C22semidirect
67. #2705C22semidirect
68. #2703C22semidirect
69. #2701C22semidirect
70. #2699C22semidirect
72. #2691C22semidirect
73. #2688C22semidirect
74. #2686C22semidirect
80. #2673C22semidirect
81. #2673C22semidirect
82. #2672C22semidirect
83. #2671C22semidirect
87. #2666C22semidirect
88. #2666C22semidirect
90. #2662C22semidirect
91. #2662C22semidirect
92. #2661C22semidirect
93. #2661C22semidirect
94. #2661C22semidirect
95. #2661C22semidirect
96. #2660C22semidirect
97. #2660C22semidirect
101. #2648C22semidirect
102. #2648C22semidirect
103. #2647C22semidirect
104. #2647C22semidirect
106. #2641C22semidirect
107. #2640C22semidirect
108. #2636C22semidirect
109. #2635C22semidirect
110. #2635C22semidirect
111. #2630C22semidirect
112. #2630C22semidirect
118. #2620C22semidirect
119. #2620C22semidirect
120. #2620C22semidirect
124. #2619C22semidirect
126. #2595C22semidirect
127. #2592C22semidirect
128. #2580C22semidirect
129. #2568C22semidirect
130. #2566C22semidirect
131. #2559C22semidirect
132. #2555C22semidirect
133. #2555C22semidirect
134. #2555C22semidirect
135. #2554C22semidirect
136. #2554C22semidirect
139. #2548C22semidirect
140. #2548C22semidirect
141. #2548C22semidirect
142. #2548C22semidirect
143. #2548C22semidirect
144. #2544C22semidirect
145. #2544C22semidirect
146. #2544C22semidirect
147. #2544C22semidirect
148. #2543C22semidirect
149. #2542C22semidirect
156. #2541C22semidirect
157. #2541C22semidirect
158. #2541C22semidirect
159. #2541C22semidirect
161. #2538C22semidirect
163. #2516C22semidirect
164. #2513C22semidirect
165. #2513C22semidirect
166. #2512C22semidirect
167. #2512C22semidirect
168. #2476C22semidirect
170. #2471C22semidirect
171. #2467C22semidirect
172. #2464C22semidirect
173. #2464C22semidirect
174. #2464C22semidirect
175. #2464C22semidirect
176. #2464C22semidirect
177. #2461C22semidirect
178. #2461C22semidirect
179. #2457C22semidirect
180. #2457C22semidirect
181. #2448C22semidirect
182. #2448C22semidirect
183. #2448C22semidirect
184. #2447C22semidirect
185. #2447C22semidirect
186. #2447C22semidirect
187. #2445C22semidirect
188. #2445C22semidirect
189. #2445C22semidirect
190. #2445C22semidirect
191. #2445C22semidirect
192. #2445C22semidirect
193. #2445C22semidirect
194. #2445C22semidirect
195. #2445C22semidirect
196. #2445C22semidirect
197. #2445C22semidirect
198. #2444C22semidirect
205. #2431C22semidirect
206. #2430C22semidirect
207. #2428C22semidirect
208. #2428C22semidirect
209. #2428C22semidirect
210. #2428C22semidirect
211. #2428C22semidirect
212. #2427C22semidirect
213. #2427C22semidirect
214. #2426C22semidirect
215. #2426C22semidirect
216. #2425C22semidirect
226. #2402C22semidirect
227. #2399C22semidirect
230. #2392C22semidirect
231. #2392C22semidirect
232. #2388C22semidirect
233. #2388C22semidirect
236. #2373C22semidirect
237. #2373C22semidirect
238. #2370C22semidirect
239. #2370C22semidirect
240. #2367C22semidirect
241. #2367C22semidirect
242. #2367C22semidirect
249. #2366C22semidirect
250. #2366C22semidirect
251. #2366C22semidirect
252. #2366C22semidirect
253. #2366C22semidirect
254. #2365C22semidirect
255. #2365C22semidirect
262. #2357C22semidirect
263. #2354C22semidirect
264. #2353C22semidirect
272. #2328C22semidirect
273. #2326C22semidirect
274. #2319C22semidirect
276. C4×C4⋊Q8C22semidirect
277. C4×C4⋊Q8C22semidirect
280. C4×#127C22semidirect
281. C4×#125C22semidirect
282. C4×#125C22semidirect
283. C4×#124C22semidirect
284. C4×#124C22semidirect
285. C4×#124C22semidirect
286. #2298C22semidirect
287. #2295C22semidirect
289. #2293C22semidirect
293. #2275C22semidirect
294. C42×Q8C22semidirect
295. C42×D4C22semidirect
298. C4×#117C22semidirect
1137. C2×C42#41semidirect

Maximal subgroups

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

subgroupindex
#429772
#429762
#425292
#425242
#420732
#420652
#410582
#410382
#397712
#397702
#394192
#394162
#393872
#393862
#377512
#377482
#376162
#376142
#375872
#365952
#365912
#361282
#361152
#359302
#358652
#358082
#357412
#352762
#352742
#346252
#346242
#342322
#342102
#341512