Finite Group Databasebeta

← #7986742

Subgroups — #7986742

Order 512.

6192 conjugacy classes of subgroups.

The subgroup lattice has 1948 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59640C211yesmaximal, characteristic, complemented
2#59129C212yesmaximal, complemented
3#59124C211yesmaximal, characteristic, complemented
4#59056C212yesmaximal, complemented
5#59051C211yesmaximal, characteristic, complemented
6#51917C214yesmaximal, complemented
7#48415C214yesmaximal, complemented
8#46054C212yesmaximal, complemented
9#46016C212yesmaximal, complemented
10#45047C212yesmaximal, complemented
11#44887C212yesmaximal, complemented
12#44148C214yesmaximal, complemented
13#42963C212yesmaximal, complemented
14#42578C212yesmaximal, complemented
15#42057C214yesmaximal, complemented
16#40150C212yesmaximal, complemented
17#39953C212yesmaximal, complemented
18#39876C212yesmaximal, complemented
19#39745C212yesmaximal, complemented
20#39471C211yesmaximal, characteristic, complemented
21#39138C211yesmaximal, characteristic, complemented
22#37782C212yesmaximal, complemented
23#36469C211yesmaximal, characteristic, complemented
24#36373C212yesmaximal, complemented
25#36288C211yesmaximal, characteristic, complemented
26#36273C211yesmaximal, characteristic, complemented
27#36125C211yesmaximal, characteristic, complemented
28#36121C211yesmaximal, characteristic, complemented
29#35293C212yesmaximal, complemented
30#35274C211yesmaximal, characteristic, complemented
31#35191C211yesmaximal, characteristic, complemented
32#34925C211yesmaximal, characteristic, complemented
33#34889C211yesmaximal, characteristic, complemented
34#34415C212yesmaximal, complemented
35C4×#555C211yesmaximal, characteristic, complemented
36C2×#559C2212yescomplemented
37C2×#555C2211yescharacteristic
38C2×#555C2212yescomplemented
39C2×#550C2211yescharacteristic
40C2×#550C2212yescomplemented
41C2×#547C2211yescharacteristic, complemented
42C2×#546C2212yes—
43C2×#546C2212yes—
44C2×#535C2212yes—
45C2×#535C2212yes—
46C2×#532C2211yescharacteristic
47C2×#532C2211yescharacteristic
48C2×#532C2212yescomplemented
49C2×#532C2212yescomplemented
50C2×#532C2212yescomplemented
51C22×#127C2211yescharacteristic
52C2×#529C2211yescharacteristic, complemented
53#2867C2212yes—
54#2862C2212yescomplemented
55#2861C2212yescomplemented
56#2858C2212yes—
57#2858C2211yescharacteristic
58#2858C2212yescomplemented
59#2858C2212yescomplemented
60#2857C2211yescharacteristic
61#2856C2211yescharacteristic
62#2854C2212yescomplemented
63#2850C2212yescomplemented
64#2828C2214yescomplemented
65#2819C2214yescomplemented
66#2804C2214yescomplemented
67#2803C2214yescomplemented
68#2753C2214yescomplemented
69#2753C2214yescomplemented
70#2753C2214yescomplemented
71#2733C2214yescomplemented
72#2733C2214yescomplemented
73#2714C2214yescomplemented
74#2712C2214yescomplemented
75#2712C2214yescomplemented
76#2712C2214yescomplemented
77#2710C2214yescomplemented
78#2710C2214yescomplemented
79#2710C2214yescomplemented
80#2706C2214yescomplemented
81#2703C2214yes—
82#2703C2214yescomplemented
83#2684C2214yes—
84#2678C2214yes—
85#2673C2214yes—
86#2673C2214yescomplemented
87#2673C2214yescomplemented
88#2673C2214yescomplemented
89#2673C2214yescomplemented
90#2673C2214yescomplemented
91#2673C2214yescomplemented
92#2671C2214yescomplemented
93#2670C2214yes—
94#2670C2214yes—
95#2670C2214yes—
96#2670C2214yes—
97#2669C2214yes—
98#2669C2214yes—
99#2661C2214yescomplemented
100#2661C2214yescomplemented
101#2657C2214yes—
102#2657C2214yescomplemented
103#2635C2214yescomplemented
104#2619C2214yescomplemented
105#2619C2212yescomplemented
106#2619C2214yescomplemented
107#2615C2212yes—
108#2612C2214yescomplemented
109#2610C2214yescomplemented
110#2610C2214yescomplemented
111#2603C2214yescomplemented
112#2602C2214yescomplemented
113#2593C2214yescomplemented
114#2592C2212yescomplemented
115#2592C2212yescomplemented
116#2574C2214yes—
117#2559C2212yes—
118#2557C2212yescomplemented
119#2557C2214yescomplemented
120#2555C2214yescomplemented
121#2555C2214yescomplemented
122#2551C2211yescharacteristic, complemented
123#2550C2211yescharacteristic, complemented
124#2548C2211yescharacteristic
125#2548C2212yescomplemented
126#2547C2211yescharacteristic, complemented
127#2546C2211yescharacteristic, complemented
128#2544C2212yes—
129#2544C2214yescomplemented
130#2544C2214yescomplemented
131#2544C2211yescharacteristic, complemented
132#2544C2214yescomplemented
133#2544C2212yescomplemented
134#2544C2212yescomplemented
135#2541C2211yescharacteristic
136#2541C2212yes—
137#2541C2212yes—
138#2541C2211yescharacteristic
139#2541C2211yescharacteristic
140#2541C2211yescharacteristic
141#2541C2211yescharacteristic
142#2541C2212yes—
143#2541C2214yescomplemented
144#2541C2212yescomplemented
145#2541C2212yescomplemented
146#2541C2212yescomplemented
147#2540C2212yes—
148#2540C2211yescharacteristic
149#2537C2211yescharacteristic, complemented
150#2535C2211yescharacteristic
151#2535C2212yescomplemented
152#2526C2214yescomplemented
153#2521C2212yescomplemented
154#2508C2212yescomplemented
155#2500C2212yescomplemented
156#2492C2212yes—
157#2492C2212yescomplemented
158#2492C2211yescharacteristic, complemented
159#2491C2212yescomplemented
160#2491C2212yescomplemented
161#2491C2212yescomplemented
162#2491C2212yescomplemented
163#2491C2212yescomplemented
164#2491C2212yescomplemented
165#2490C2211yescharacteristic
166#2490C2212yescomplemented
167#2487C2212yescomplemented
168#2476C2214yescomplemented
169#2474C2214yescomplemented
170#2464C2212yes—
171#2464C2214yescomplemented
172#2464C2214yescomplemented
173#2464C2214yescomplemented
174#2459C2214yescomplemented
175#2459C2214yescomplemented
176#2456C2214yescomplemented
177#2455C2214yescomplemented
178#2445C2212yes—
179#2445C2212yes—
180#2445C2212yes—
181#2439C2212yes—
182#2435C2212yes—
183#2433C2212yes—
184#2433C2214yes—
185#2433C2212yes—
186#2433C2212yes—
187#2432C2212yescomplemented
188#2432C2212yescomplemented
189#2431C2212yes—
190#2431C2212yes—
191#2431C2212yescomplemented
192#2431C2212yescomplemented
193#2431C2212yescomplemented
194#2431C2212yescomplemented
195#2431C2214yescomplemented
196#2431C2214yescomplemented
197#2431C2214yescomplemented
198#2431C2212yescomplemented
199#2429C2212yes—
200#2428C2212yes—
201#2428C2212yes—
202#2428C2212yes—
203#2428C2212yescomplemented
204#2428C2212yescomplemented
205#2428C2212yescomplemented
206#2428C2211yescharacteristic, complemented
207#2428C2212yescomplemented
208#2428C2214yescomplemented
209#2428C2212yescomplemented
210#2428C2212yescomplemented
211#2427C2211yescharacteristic
212#2426C2212yescomplemented
213#2424C2214yes—
214#2424C2214yes—
215#2422C2212yescomplemented
216#2420C2212yescomplemented
217#2416C2212yescomplemented
218#2414C2214yescomplemented
219#2414C2212yescomplemented
220#2414C2212yescomplemented
221#2414C2212yescomplemented
222#2414C2212yescomplemented
223#2411C2214yes—
224#2410C2214yes—
225#2408C2212yes—
226#2408C2212yes—
227#2408C2212yes—
228#2407C2212yes—
229#2407C2212yescomplemented
230#2407C2212yescomplemented
231#2404C2214yes—
232#2395C2212yescomplemented
233#2388C2212yes—
234#2388C2214yescomplemented
235#2379C2214yescomplemented
236#2375C2214yes—
237#2372C2212yes—
238#2372C2214yescomplemented
239#2372C2212yescomplemented
240#2369C2211yescharacteristic, complemented
241#2369C2212yescomplemented
242#2367C2212yescomplemented
243#2366C2211yescharacteristic
244#2365C2211yescharacteristic, complemented
245#2363C2212yes—
246#2363C2211yescharacteristic
247#2363C2214yescomplemented
248#2363C2212yescomplemented
249#2363C2212yescomplemented
250#2363C2211yescharacteristic, complemented
251#2361C2212yescomplemented
252#2361C2212yescomplemented
253#2361C2212yescomplemented
254#2358C2214yes—
255#2357C2212yescomplemented
256#2355C2211yescharacteristic, complemented
257#2354C2211yescharacteristic
258#2354C2211yescharacteristic, complemented
259#2354C2211yescharacteristic, complemented
260#2346C2211yescharacteristic
261#2346C2212yes—
262#2346C2212yescomplemented
263#2346C2211yescharacteristic, complemented
264D4×C22⋊C4C2212yes—
265D4×C22⋊C4C2212yes—
266D4×C22⋊C4C2212yes—
267#2328C2214yescomplemented
268#2328C2214yescomplemented
269#2328C2214yescomplemented
270#2324C2212yescomplemented
271#2324C2212yescomplemented
272#2324C2212yescomplemented
273#2321C2214yes—
274#2321C2214yes—
275#2311C2212yes—
276C4×C4⋊Q8C2211yescharacteristic, complemented
277C4×#127C2211yescharacteristic
278C4×#124C2212yes—
279C4×#124C2211yescharacteristic, complemented
280C4×#124C2212yescomplemented
281C4×C22⋊Q8C2211yescharacteristic
282C4×#121C2211yescharacteristic
283C4×#121C2212yes—
284C4×#121C2212yescomplemented
285C4×#121C2211yescharacteristic, complemented
286C4×#121C2212yescomplemented
287C4×#121C2212yescomplemented
288C4×#121C2212yescomplemented
289C4×#121C2211yescharacteristic, complemented
290#2297C2212yes—
291#2295C2212yescomplemented
292#2293C2212yescomplemented
293C42×D4C2211yescharacteristic
294C42×D4C2211yescharacteristic, complemented
295C42×D4C2211yescharacteristic, complemented
296C4×#117C2211yescharacteristic
297C4×#117C2212yescomplemented
298C4×#117C2211yescharacteristic, complemented
299C22×#41C2312yes—
300C22×#41C2312yes—
301C22×#41C2312yes—
302C22×#41C2312yes—
303C22×#41C2314yes—
304C23×D4C2312yes—
305C23×D4C2312yes—
306C23×D4C2312yes—
307#559—48no—
308#555—28no—
309#555—48no—
310#550—44no—
311#550—48no—
312#547—44no—
313#546—48no—
314#546—48no—
315#535—216no—
316#535—48no—
317#532—44no—
318#532—48no—
319#532—48no—
320#532—44no—
321#532—48no—
322C2×C4⋊Q8C2311yescharacteristic
323C2×C4⋊Q8C2311yescharacteristic
324C2×C4⋊Q8C2312yes—
325C2×C4⋊Q8C2311yescharacteristic
326C2×C4⋊Q8C2312yes—
327C2×C4⋊Q8C2312yes—
328C2×#127—44no—
329C2×#127C2311yescharacteristic
330C2×#127C2314yes—
331C2×#127C2311yescharacteristic
332C2×#127C2314yes—
333C2×#127C2312yes—
334C2×#127C2312yes—
335C2×#127C2312yes—
336C2×#127C2311yescharacteristic
337C2×#127C2314yes—
338C2×#127C2312yes—
339C2×#127C2312yes—
340C2×#127C2312yes—
341C2×#127C2312yes—
342C2×#127C2314yes—
343C2×#127C2312yes—
344C2×#127C2312yes—
345C2×#127C2314yes—
346C2×#127C2314yes—
347#529—44no—
348C2×#126C2312yes—
349C2×#125C2311yescharacteristic
350C2×#124C2312yes—
351C2×#124C2314yes—
352C2×#124C2312yes—
353C2×#124C2312yes—
354C2×#124C2311yescharacteristic
355C2×#124C2312yes—
356C2×#124C2312yes—
357C2×#124C2314yes—
358C2×#124C2311yescharacteristic
359C2×#124C2312yes—
360C2×#124C2314yes—
361C2×#124C2312yes—
362C2×#124C2312yes—
363C2×#124C2314yes—
364C2×#124C2314yes—
365C2×#124C2314yes—
366C2×#124C2314yes—
367C2×#124C2314yes—
368C2×#124C2314yes—
369C2×#123C2314yes—
370C2×#123C2312yes—
371C2×#123C2314yes—
372C2×#123C2314yes—
373C2×#123C2314yes—
374C2×#123C2314yes—
375C2×C22⋊Q8C2311yescharacteristic
376C2×C22⋊Q8C2312yes—
377C2×C22⋊Q8C2312yes—
378C2×C22⋊Q8C2311yescharacteristic
379C2×#121C2312yes—
380C2×#121C2312yes—
381C2×#121C2312yes—
382C2×#121C2311yescharacteristic
383C2×#121C2312yes—
384C2×#121C2312yes—
385C2×#121C2312yes—
386C2×#121C2312yes—
387C2×#121C2311yescharacteristic
388C2×#121C2312yes—
389C2×#121C2311yescharacteristic
390C2×#121C2312yes—
391C2×#121C2312yes—
392C2×#121C2312yes—
393C2×#121C2312yes—
394C2×#121C2312yes—
395C2×#121C2312yes—
396C2×#121C2314yes—
397C2×#121C2314yes—
398C2×#121C2314yes—
399C2×#121C2314yes—
400C2×#121C2312yes—
401C2×#121C2314yes—
402C2×#121C2311yescharacteristic
403C2×#121C2312yes—
404C2×#121C2312yes—
405C2×#121C2314yes—
406C2×#121C2314yes—
407C2×#121C2314yes—
408C2×#121C2311yescharacteristic
409C2×#121C2314yes—
410C2×#121C2312yes—
411C2×#121C2312yes—
412C2×#121C2314yes—
413C2×#121C2311yescharacteristic
414C2×#121C2312yes—
415C2×#121C2314yes—
416C2×#121C2312yes—
417C2×#121C2312yes—
418C2×#120C2314yes—
419C2×#120C2314yes—
420C2×#120C2314yes—
421C2×#120C2314yes—
422C2×#120C2314yes—
423C2×#120C2314yes—
424C2×#120C2314yes—
425C2×C4×Q8C2311yescharacteristic
426C2×C4×Q8C2312yes—
427C2×C4×Q8C2312yes—
428C2×C4×D4C2312yes—
429C2×C4×D4C2311yescharacteristic
430C2×C4×D4C2311yescharacteristic
431C2×C4×D4C2311yescharacteristic
432C2×C4×D4C2311yescharacteristic
433C2×C4×D4C2312yes—
434C2×C4×D4C2311yescharacteristic
435C2×C4×D4C2311yescharacteristic
436C2×C4×D4C2311yescharacteristic
437C2×C4×D4C2311yescharacteristic
438C2×C4×D4C2311yescharacteristic
439C2×C4×D4C2312yes—
440C2×C4×D4C2314yes—
441C2×C4×D4C2314yes—
442C2×C4×D4C2312yes—
443C2×C4×D4C2312yes—
444C2×C4×D4C2314yes—
445C2×C4×D4C2314yes—
446C2×C4×D4C2312yes—
447C2×C4×D4C2312yes—
448C2×C4×D4C2314yes—
449C2×C4×D4C2311yescharacteristic
450C2×C4×D4C2314yes—
451C2×C4×D4C2312yes—
452C2×C4×D4C2312yes—
453C2×C4×D4C2312yes—
454C2×C4×D4C2312yes—
455C2×C4×D4C2312yes—
456C2×C4×D4C2312yes—
457C2×#117C2312yes—
458C2×#117C2311yescharacteristic
459C2×#117C2311yescharacteristic
460C2×#117C2311yescharacteristic
461C2×#117C2312yes—
462C2×#117C2312yes—
463C2×#117C2312yes—
464C2×#117C2314yes—
465C2×#117C2311yescharacteristic
466C22×C4⋊C4C2312yes—
467C22×C22⋊C4C2314yes—
468C22×C22⋊C4C2314yes—
469C22×C42C2312yes—
470C22×C42C2311yescharacteristic
471C22×C42C2311yescharacteristic
472C22×C42C2312yes—
473#400C2314yes—
474#400C2314yes—
475#400C2312yes—
476#399C2314yes—
477#399C2312yes—
478#398C2314yes—
479#398C2312yes—
480#398C2314yes—
481#397C2312yes—
482#397C2314yes—
483#397C2314yes—
484#397C2314yes—
485#397C2312yes—
486#397C2312yes—
487#397C2314yes—
488#396C2314yes—
489#396C2314yes—
490#395C2314yes—
491#395C2312yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2312yes—
508#394C2312yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2312yes—
515#394C2312yes—
516#394C2314yes—
517#394C2314yes—
518#394C2312yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#393C2312yes—
525#393C2314yes—
526#393C2314yes—
527#393C2314yes—
528#393C2314yes—
529#393C2314yes—
530#393C2314yes—
531#392C2314yes—
532#392C2314yes—
533#392C2314yes—
534#392C2314yes—
535#392C2314yes—
536#392C2314yes—
537#392C2314yes—
538#392C2314yes—
539#392C2314yes—
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#392C2312yes—
556#392C2312yes—
557#392C2312yes—
558#392C2314yes—
559#392C2314yes—
560#392C2314yes—
561#392C2314yes—
562#392C2314yes—
563#392C2314yes—
564#392C2314yes—
565#392C2314yes—
566#392C2314yes—
567#391C2312yes—
568#391C2314yes—
569#391C2314yes—
570#391C2311yescharacteristic
571#391C2312yes—
572#391C2312yes—
573#391C2312yes—
574#391C2312yes—
575#391C2312yes—
576#391C2311yescharacteristic
577#391C2314yes—
578#391C2314yes—
579#391C2312yes—
580#391C2312yes—
581#391C2312yes—
582#391C2312yes—
583#390C2312yes—
584#390C2312yes—
585#390C2312yes—
586#390C2314yes—
587#390C2314yes—
588#390C2314yes—
589#390C2314yes—
590#390C2312yes—
591#390C2312yes—
592#390C2314yes—
593#390C2312yes—
594#390C2314yes—
595#390C2314yes—
596#390C2314yes—
597#390C2312yes—
598#390C2312yes—
599#390C2312yes—
600#390C2314yes—
601#390C2312yes—
602#390C2312yes—
603#390C2312yes—
604#390C2312yes—
605#390C2312yes—
606#390C2312yes—
607#390C2312yes—
608#390C2312yes—
609#390C2312yes—
610#390C2312yes—
611#390C2314yes—
612#390C2311yescharacteristic
613#390C2314yes—
614#390C2312yes—
615#390C2312yes—
616#390C2312yes—
617#390C2311yescharacteristic
618#390C2311yescharacteristic
619#390C2314yes—
620#390C2314yes—
621#390C2312yes—
622#390C2312yes—
623#390C2312yes—
624#390C2312yes—
625#390C2314yes—
626#390C2312yes—
627#390C2311yescharacteristic
628#389C2311yescharacteristic
629#389C2311yescharacteristic
630#389C2312yes—
631#389C2311yescharacteristic
632#389C2312yes—
633#389C2312yes—
634#389C2312yes—
635#389C2312yes—
636#389C2312yes—
637#389C2312yes—
638#389C2311yescharacteristic
639#389C2312yes—
640#389C2314yes—
641#389C2312yes—
642#389C2311yescharacteristic
643#389C2311yescharacteristic
644#389C2312yes—
645#388C2312yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2312yes—
650#388C2312yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2312yes—
667#388C2312yes—
668#388C2312yes—
669#388C2312yes—
670#388C2312yes—
671#388C2312yes—
672#388C2314yes—
673#388C2314yes—
674#388C2312yes—
675#388C2312yes—
676#388C2314yes—
677#388C2312yes—
678#388C2314yes—
679#388C2312yes—
680#388C2314yes—
681#388C2314yes—
682#388C2314yes—
683#388C2312yes—
684#388C2312yes—
685#388C2312yes—
686#388C2312yes—
687#387C2314yes—
688#387C2314yes—
689#387C2314yes—
690#387C2312yes—
691#387C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2312yes—
695#386C2312yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2312yes—
702#386C2312yes—
703#386C2312yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
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#386C2314yes—
722#386C2314yes—
723#386C2314yes—
724#386C2314yes—
725#386C2312yes—
726#386C2312yes—
727#386C2312yes—
728#386C2312yes—
729#386C2312yes—
730#386C2314yes—
731#386C2314yes—
732#386C2312yes—
733#385C2312yes—
734#385C2314yes—
735#385C2314yes—
736#385C2314yes—
737#385C2314yes—
738#385C2314yes—
739#385C2314yes—
740#385C2314yes—
741#385C2314yes—
742#384C2311yescharacteristic
743#384C2311yescharacteristic
744#382C2314yes—
745#382C2314yes—
746#382C2312yes—
747#382C2311yescharacteristic
748#382C2312yes—
749#382C2312yes—
750#381C2314yes—
751#380C2311yescharacteristic
752#380C2312yes—
753#380C2312yes—
754#380C2312yes—
755#380C2312yes—
756#380C2312yes—
757#380C2311yescharacteristic
758#380C2312yes—
759#380C2312yes—
760#380C2312yes—
761#380C2311yescharacteristic
762#380C2311yescharacteristic
763#380C2312yes—
764#379C2314yes—
765#379C2314yes—
766#379C2314yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2311yescharacteristic
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2311yescharacteristic
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2312yes—
819#376C2312yes—
820#376C2312yes—
821#376C2314yes—
822#376C2312yes—
823#376C2312yes—
824C43C2311yescharacteristic
825C43C2312yes—
826C43C2312yes—
827C25C2414yes—
828C2×#41—28no—
829C2×#41—44no—
830C2×#41—48no—
831C2×#41—44no—
832C2×#41—44no—
833C2×#41—44no—
834C2×#41—44no—
835C2×#41—48no—
836C2×#41—44no—
837C2×#41—44no—
838C2×#41—44no—
839C2×#41—44no—
840C2×#41—44no—
841C2×#41—44no—
842C2×#41—84no—
843C22×Q8C2411yescharacteristic
844C22×Q8C2412yes—
845C22×Q8C2412yes—
846C22×Q8C2414yes—
847C22×Q8C2412yes—
848C22×D4—28no—
849C22×D4—44no—
850C22×D4—44no—
851C22×D4—44no—
852C22×D4—44no—
853C22×D4—44no—
854C22×D4—44no—
855C22×D4—44no—
856C22×D4—82no—
857C22×D4C2411yescharacteristic
858C22×D4C2411yescharacteristic
859C22×D4C2412yes—
860C22×D4C2412yes—
861C22×D4C2412yes—
862C22×D4C2412yes—
863C22×D4C2411yescharacteristic
864C22×D4C2411yescharacteristic
865C22×D4C2412yes—
866C22×D4C2412yes—
867C22×D4C2414yes—
868C22×D4C2414yes—
869C22×D4C2414yes—
870C22×D4C2414yes—
871C22×D4C2414yes—
872C22×D4C2414yes—
873C22×D4C2412yes—
874C22×D4C2412yes—
875C22×D4C2412yes—
876C22×D4C2412yes—
877C22×D4C2412yes—
878C22×D4C2414yes—
879C22×D4C2412yes—
880C22×D4C2414yes—
881C22×D4C2414yes—
882C22×D4C2412yes—
883C22×D4C2412yes—
884C22×D4C2414yes—
885C22×D4C2414yes—
886C22×D4C2414yes—
887C22×D4C2414yes—
888C22×D4C2414yes—
889C22×D4C2414yes—
890C22×D4C2414yes—
891C22×D4C2414yes—
892C22×D4C2414yes—
893C22×D4C2414yes—
894C23×C4C2412yes—
895C23×C4C2411yescharacteristic
896C23×C4C2412yes—
897C23×C4C2412yes—
898C23×C4C2411yescharacteristic
899C23×C4C2411yescharacteristic
900C23×C4C2412yes—
901C23×C4C2412yes—
902C23×C4C2411yescharacteristic
903C23×C4C2411yescharacteristic
904C23×C4C2414yes—
905C23×C4C2414yes—
906C23×C4C2412yes—
907C23×C4C2412yes—
908C23×C4C2411yescharacteristic
909C23×C4C2414yes—
910C23×C4C2414yes—
911C23×C4C2414yes—
912C4⋊Q8—24no—
913C4⋊Q8—28no—
914C4⋊Q8—24no—
915C4⋊Q8—42no—
916C4⋊Q8—44no—
917C4⋊Q8—44no—
918#127—216no—
919#127—24no—
920#127—24no—
921#127—44no—
922#127—44no—
923#127—44no—
924#127—48no—
925#127—42no—
926#127—44no—
927#127—44no—
928#127—44no—
929#127—48no—
930#127—44no—
931#127—48no—
932#127—44no—
933#127—44no—
934#127—84no—
935#127—84no—
936#126—44no—
937#125—42no—
938#124—28no—
939#124—216no—
940#124—28no—
941#124—24no—
942#124—28no—
943#124—48no—
944#124—44no—
945#124—48no—
946#124—48no—
947#124—42no—
948#124—44no—
949#124—44no—
950#124—48no—
951#124—44no—
952#124—44no—
953#124—48no—
954#124—48no—
955#124—84no—
956#124—84no—
957#123—48no—
958#123—48no—
959#123—48no—
960#123—44no—
961#123—48no—
962#123—48no—
963C22⋊Q8—24no—
964C22⋊Q8—42no—
965C22⋊Q8—44no—
966C22⋊Q8—44no—
967#121—24no—
968#121—28no—
969#121—28no—
970#121—28no—
971#121—28no—
972#121—24no—
973#121—28no—
974#121—28no—
975#121—28no—
976#121—24no—
977#121—28no—
978#121—48no—
979#121—48no—
980#121—44no—
981#121—48no—
982#121—48no—
983#121—48no—
984#121—44no—
985#121—48no—
986#121—48no—
987#121—48no—
988#121—48no—
989#121—48no—
990#121—42no—
991#121—44no—
992#121—44no—
993#121—44no—
994#121—44no—
995#121—42no—
996#121—42no—
997#121—44no—
998#121—44no—
999#121—44no—
1000#121—44no—
1001#121—48no—
1002#121—44no—
1003#121—44no—
1004#121—44no—
1005#121—82no—
1006#120—216no—
1007#120—216no—
1008#120—48no—
1009#120—48no—
1010#120—48no—
1011#120—48no—
1012#120—84no—
1013C4×Q8—28no—
1014C4×Q8—24no—
1015C4×Q8—44no—
1016C4×D4—24no—
1017C4×D4—24no—
1018C4×D4—24no—
1019C4×D4—28no—
1020C4×D4—24no—
1021C4×D4—24no—
1022C4×D4—24no—
1023C4×D4—28no—
1024C4×D4—24no—
1025C4×D4—24no—
1026C4×D4—24no—
1027C4×D4—48no—
1028C4×D4—48no—
1029C4×D4—48no—
1030C4×D4—44no—
1031C4×D4—44no—
1032C4×D4—44no—
1033C4×D4—44no—
1034C4×D4—44no—
1035C4×D4—44no—
1036C4×D4—48no—
1037C4×D4—44no—
1038C4×D4—44no—
1039C4×D4—44no—
1040C4×D4—44no—
1041C4×D4—48no—
1042C4×D4—42no—
1043C4×D4—48no—
1044C4×D4—82no—
1045#117—24no—
1046#117—24no—
1047#117—24no—
1048#117—28no—
1049#117—44no—
1050#117—44no—
1051#117—48no—
1052#117—44no—
1053#117#4118yescomplemented
1054C2×C4⋊C4—44no—
1055C2×C4⋊C4C2411yescharacteristic
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2411yescharacteristic
1058C2×C4⋊C4C2411yescharacteristic
1059C2×C4⋊C4C2411yescharacteristic
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2414yes—
1062C2×C4⋊C4C2411yescharacteristic
1063C2×C4⋊C4C2411yescharacteristic
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2411yescharacteristic
1067C2×C4⋊C4C2411yescharacteristic
1068C2×C4⋊C4C2411yescharacteristic
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2411yescharacteristic
1071C2×C4⋊C4C2411yescharacteristic
1072C2×C4⋊C4C2414yes—
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2414yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2414yes—
1084C2×C4⋊C4C2414yes—
1085C2×C4⋊C4C2414yes—
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2414yes—
1093C2×C4⋊C4C2411yescharacteristic
1094C2×C4⋊C4C2411yescharacteristic
1095C2×C4⋊C4C2411yescharacteristic
1096C2×C4⋊C4C2411yescharacteristic
1097C2×C22⋊C4—48no—
1098C2×C22⋊C4—48no—
1099C2×C22⋊C4C2411yescharacteristic
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2411yescharacteristic
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2411yescharacteristic
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2411yescharacteristic
1126C2×C22⋊C4C2411yescharacteristic
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2412yes—
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2411yescharacteristic
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2414yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2414yes—
1168C2×C22⋊C4C2414yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2414yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2414yes—
1177C2×C22⋊C4C2412yes—
1178C2×C42—24no—
1179C2×C42—24no—
1180C2×C42—28no—
1181C2×C42—44no—
1182C2×C42C2412yes—
1183C2×C42C2411yescharacteristic
1184C2×C42C2412yes—
1185C2×C42C2412yes—
1186C2×C42C2412yes—
1187C2×C42C2412yes—
1188C2×C42C2412yes—
1189C2×C42C2411yescharacteristic
1190C2×C42C2412yes—
1191C2×C42C2414yes—
1192C2×C42C2412yes—
1193C2×C42C2411yescharacteristic
1194C2×C42C2411yescharacteristic
1195C2×C42C2412yes—
1196C2×C42C2411yescharacteristic
1197C2×C42C2411yescharacteristic
1198C2×C42C2412yes—
1199C2×C42C2411yescharacteristic
1200C2×C42C2411yescharacteristic
1201C2×C42C2411yescharacteristic
1202C2×C42C2412yes—
1203C2×C42C2414yes—
1204C2×C42C2412yes—
1205C2×C42C2411yescharacteristic
1206C2×C42C2412yes—
1207C2×C42C2411yescharacteristic
1208C2×C42C2412yes—
1209C2×C42C2412yes—
1210C2×C42C2414yes—
1211C2×C42C2412yes—
1212C2×C42C2412yes—
1213C2×C42C2411yescharacteristic
1214C2×C42C2411yescharacteristic
1215#95C2411yescharacteristic
1216#95C2411yescharacteristic
1217#95C2412yes—
1218#95C2412yes—
1219#95C2412yes—
1220#95C2414yes—
1221#95C2412yes—
1222#95C2412yes—
1223#95C2412yes—
1224#95C2412yes—
1225#95C2412yes—
1226#95C2412yes—
1227#95C2412yes—
1228#95C2412yes—
1229#95C2412yes—
1230#95C2412yes—
1231#95C2412yes—
1232#95C2414yes—
1233#95C2414yes—
1234#95C2412yes—
1235#95C2412yes—
1236#95C2411yescharacteristic
1237#95C2412yes—
1238#95C2411yescharacteristic
1239#95C2412yes—
1240#95C2412yes—
1241#95C2412yes—
1242#95C2411yescharacteristic
1243#95C2411yescharacteristic
1244#95C2412yes—
1245#95C2414yes—
1246#95C2412yes—
1247#95C2414yes—
1248#95C2412yes—
1249#95C2412yes—
1250#95C2412yes—
1251#95C2412yes—
1252#95C2414yes—
1253#95C2414yes—
1254#95C2412yes—
1255#95C2414yes—
1256#95C2412yes—
1257#95C2414yes—
1258#95C2414yes—
1259#95C2414yes—
1260#95C2414yes—
1261#95C2414yes—
1262#95C2414yes—
1263C24—28no—
1264C24—44no—
1265C24—44no—
1266C24—44no—
1267C24—44no—
1268C24—44no—
1269C24—44no—
1270C24C2514yes—
1271C24C2514yes—
1272C24C2511yescharacteristic
1273C24C2512yes—
1274C24C2512yes—
1275C24C2512yes—
1276C24C2511yescharacteristic
1277#41—816no—
1278#41—832no—
1279#41—816no—
1280#41—816no—
1281#41—816no—
1282C2×Q8—24no—
1283C2×Q8—24no—
1284C2×Q8—22no—
1285C2×Q8—24no—
1286C2×Q8—22no—
1287C2×Q8—24no—
1288C2×Q8—24no—
1289C2×Q8—22no—
1290C2×Q8—28no—
1291C2×Q8—42no—
1292C2×Q8—42no—
1293C2×Q8—44no—
1294C2×Q8—42no—
1295C2×Q8—42no—
1296C2×Q8—44no—
1297C2×D4—22no—
1298C2×D4—24no—
1299C2×D4—24no—
1300C2×D4—24no—
1301C2×D4—22no—
1302C2×D4—24no—
1303C2×D4—24no—
1304C2×D4—28no—
1305C2×D4—28no—
1306C2×D4—28no—
1307C2×D4—28no—
1308C2×D4—24no—
1309C2×D4—28no—
1310C2×D4—24no—
1311C2×D4—22no—
1312C2×D4—22no—
1313C2×D4—22no—
1314C2×D4—22no—
1315C2×D4—22no—
1316C2×D4—24no—
1317C2×D4—22no—
1318C2×D4—22no—
1319C2×D4—24no—
1320C2×D4—24no—
1321C2×D4—24no—
1322C2×D4—24no—
1323C2×D4—24no—
1324C2×D4—24no—
1325C2×D4—24no—
1326C2×D4—22no—
1327C2×D4—24no—
1328C2×D4—24no—
1329C2×D4—22no—
1330C2×D4—24no—
1331C2×D4—28no—
1332C2×D4—28no—
1333C2×D4—28no—
1334C2×D4—24no—
1335C2×D4—24no—
1336C2×D4—24no—
1337C2×D4—28no—
1338C2×D4—41no—
1339C2×D4—42no—
1340C2×D4—42no—
1341C2×D4—42no—
1342C2×D4—42no—
1343C2×D4—42no—
1344C2×D4—44no—
1345C2×D4—44no—
1346C2×D4—42no—
1347C2×D4—44no—
1348C2×D4—44no—
1349C2×D4—44no—
1350C2×D4—44no—
1351C2×D4—42no—
1352C2×D4—42no—
1353C2×D4—42no—
1354C2×D4—44no—
1355C2×D4—44no—
1356C2×D4—42no—
1357C2×D4—44no—
1358C2×D4—44no—
1359C2×D4—44no—
1360C2×D4—44no—
1361C2×D4—42no—
1362C2×D4—44no—
1363C2×D4—42no—
1364C2×D4—44no—
1365C2×D4—44no—
1366C2×D4—44no—
1367C2×D4—44no—
1368C2×D4—44no—
1369C2×D4—44no—
1370C2×D4—44no—
1371C2×D4—44no—
1372C2×D4—44no—
1373C2×D4—42no—
1374C2×D4—42no—
1375C2×D4—42no—
1376C2×D4—44no—
1377C2×D4—44no—
1378C2×D4—42no—
1379C2×D4—44no—
1380C2×D4—44no—
1381C2×D4—44no—
1382C2×D4—44no—
1383C2×D4—44no—
1384C2×D4—44no—
1385C2×D4—42no—
1386C2×D4—44no—
1387C2×D4—44no—
1388C2×D4—44no—
1389C2×D4—42no—
1390C2×D4—42no—
1391C2×D4—42no—
1392C2×D4—44no—
1393C2×D4—44no—
1394C2×D4—44no—
1395C2×D4—42no—
1396C2×D4—44no—
1397C2×D4—44no—
1398C2×D4—44no—
1399C2×D4—44no—
1400C2×D4—44no—
1401C2×D4—44no—
1402C2×D4—44no—
1403C2×D4—44no—
1404C2×D4—44no—
1405C2×D4—44no—
1406C2×D4—44no—
1407C2×D4—44no—
1408C2×D4—816no—
1409C2×D4—816no—
1410C2×D4—816no—
1411C22×C4—22no—
1412C22×C4—22no—
1413C22×C4—24no—
1414C22×C4—22no—
1415C22×C4—24no—
1416C22×C4—24no—
1417C22×C4—22no—
1418C22×C4—24no—
1419C22×C4—22no—
1420C22×C4—22no—
1421C22×C4—24no—
1422C22×C4—24no—
1423C22×C4—22no—
1424C22×C4—24no—
1425C22×C4—24no—
1426C22×C4—22no—
1427C22×C4—24no—
1428C22×C4—24no—
1429C22×C4—24no—
1430C22×C4—24no—
1431C22×C4—22no—
1432C22×C4—24no—
1433C22×C4—22no—
1434C22×C4—24no—
1435C22×C4—22no—
1436C22×C4—22no—
1437C22×C4—22no—
1438C22×C4—22no—
1439C22×C4—28no—
1440C22×C4—28no—
1441C22×C4—24no—
1442C22×C4—42no—
1443C22×C4—42no—
1444C22×C4—41no—
1445C22×C4—42no—
1446C22×C4—42no—
1447C22×C4—42no—
1448C22×C4—44no—
1449C22×C4—44no—
1450C22×C4—44no—
1451C22×C4—44no—
1452C22×C4—44no—
1453C22×C4—44no—
1454C22×C4—44no—
1455C22×C4—44no—
1456C22×C4—44no—
1457C22×C4—44no—
1458C22×C4—44no—
1459C22×C4—41no—
1460C22×C4—44no—
1461C22×C4—42no—
1462C22×C4—44no—
1463C22×C4—41no—
1464C22×C4C2×#4114yes—
1465C22×C4C2512yes—
1466C22×C4C2512yes—
1467C22×C4C2512yes—
1468C22×C4C2511yescharacteristic
1469C22×C4C2512yes—
1470C22×C4C2512yes—
1471C22×C4C2512yes—
1472C22×C4C2514yes—
1473C22×C4C2512yes—
1474C22×C4C2511yescharacteristic
1475C22×C4C2511yescharacteristic
1476C22×C4C2514yes—
1477C22×C4C2512yes—
1478C22×C4C2511yescharacteristic
1479C22×C4C2511yescharacteristic
1480C22×C4C2512yes—
1481C22×C4C2511yescharacteristic
1482C22×C4C2511yescharacteristic
1483C22×C4C2512yes—
1484C22×C4C2512yes—
1485C22×C4C2511yescharacteristic
1486C22×C4C2511yescharacteristic
1487C22×C4C2512yes—
1488C22×C4C2512yes—
1489C22×C4C2511yescharacteristic
1490C22×C4C2511yescharacteristic
1491C22×C4C2511yescharacteristic
1492C22×C4C2511yescharacteristic
1493C4⋊C4—22no—
1494C4⋊C4—24no—
1495C4⋊C4—22no—
1496C4⋊C4—22no—
1497C4⋊C4—24no—
1498C4⋊C4—22no—
1499C4⋊C4—22no—
1500C4⋊C4—28no—
1501C4⋊C4—24no—
1502C4⋊C4—24no—
1503C4⋊C4—22no—
1504C4⋊C4—22no—
1505C4⋊C4—22no—
1506C4⋊C4—22no—
1507C4⋊C4—24no—
1508C4⋊C4—22no—
1509C4⋊C4—28no—
1510C4⋊C4—24no—
1511C4⋊C4—24no—
1512C4⋊C4—22no—
1513C4⋊C4—24no—
1514C4⋊C4—44no—
1515C4⋊C4—42no—
1516C4⋊C4—42no—
1517C4⋊C4—42no—
1518C4⋊C4—42no—
1519C4⋊C4—42no—
1520C4⋊C4—42no—
1521C4⋊C4—44no—
1522C4⋊C4—44no—
1523C4⋊C4—42no—
1524C4⋊C4—44no—
1525C4⋊C4—42no—
1526C4⋊C4—42no—
1527C4⋊C4—42no—
1528C4⋊C4—42no—
1529C4⋊C4—42no—
1530C4⋊C4—44no—
1531C4⋊C4C2×#4114yes—
1532C4⋊C4C2×#4114yes—
1533C4⋊C4H(5,𝔽2)14yes—
1534C4⋊C4H(5,𝔽2)14yes—
1535C22⋊C4—22no—
1536C22⋊C4—24no—
1537C22⋊C4—24no—
1538C22⋊C4—24no—
1539C22⋊C4—24no—
1540C22⋊C4—22no—
1541C22⋊C4—28no—
1542C22⋊C4—28no—
1543C22⋊C4—28no—
1544C22⋊C4—28no—
1545C22⋊C4—22no—
1546C22⋊C4—24no—
1547C22⋊C4—28no—
1548C22⋊C4—28no—
1549C22⋊C4—24no—
1550C22⋊C4—24no—
1551C22⋊C4—28no—
1552C22⋊C4—28no—
1553C22⋊C4—28no—
1554C22⋊C4—22no—
1555C22⋊C4—24no—
1556C22⋊C4—24no—
1557C22⋊C4—24no—
1558C22⋊C4—24no—
1559C22⋊C4—24no—
1560C22⋊C4—24no—
1561C22⋊C4—24no—
1562C22⋊C4—24no—
1563C22⋊C4—24no—
1564C22⋊C4—28no—
1565C22⋊C4—28no—
1566C22⋊C4—24no—
1567C22⋊C4—22no—
1568C22⋊C4—42no—
1569C22⋊C4—44no—
1570C22⋊C4—44no—
1571C22⋊C4—44no—
1572C22⋊C4—42no—
1573C22⋊C4—44no—
1574C22⋊C4—44no—
1575C22⋊C4—42no—
1576C22⋊C4—42no—
1577C22⋊C4—41no—
1578C22⋊C4—42no—
1579C22⋊C4—44no—
1580C22⋊C4—42no—
1581C22⋊C4—42no—
1582C22⋊C4—44no—
1583C22⋊C4—44no—
1584C22⋊C4—44no—
1585C22⋊C4—44no—
1586C22⋊C4—42no—
1587C22⋊C4—42no—
1588C22⋊C4—44no—
1589C22⋊C4—44no—
1590C22⋊C4—42no—
1591C22⋊C4—44no—
1592C22⋊C4—44no—
1593C22⋊C4—42no—
1594C22⋊C4—44no—
1595C22⋊C4—42no—
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—42no—
1605C22⋊C4—44no—
1606C22⋊C4—44no—
1607C22⋊C4—44no—
1608C22⋊C4—44no—
1609C22⋊C4—44no—
1610C22⋊C4—42no—
1611C22⋊C4—42no—
1612C22⋊C4—44no—
1613C22⋊C4C2×#4118yes—
1614C42—24no—
1615C42—22no—
1616C42—22no—
1617C42—24no—
1618C42—24no—
1619C42—22no—
1620C42—22no—
1621C42—22no—
1622C42—22no—
1623C42—22no—
1624C42—24no—
1625C42—22no—
1626C42—24no—
1627C42—24no—
1628C42—24no—
1629C42—24no—
1630C42—24no—
1631C42—22no—
1632C42—28no—
1633C42—24no—
1634C42—24no—
1635C42—42no—
1636C42—42no—
1637C42—42no—
1638C42—44no—
1639C42—41no—
1640C42—41no—
1641C42—42no—
1642C42—44no—
1643C42—42no—
1644C42C2×#4118yes—
1645C42H(5,𝔽2)14yes—
1646C42H(5,𝔽2)14yes—
1647C23—21no—
1648C23—21no—
1649C23—21no—
1650C23—21no—
1651C23—21no—
1652C23—21no—
1653C23—21no—
1654C23—22no—
1655C23—24no—
1656C23—24no—
1657C23—22no—
1658C23—22no—
1659C23—21no—
1660C23—24no—
1661C23—22no—
1662C23—22no—
1663C23—22no—
1664C23—24no—
1665C23—24no—
1666C23—22no—
1667C23—22no—
1668C23—22no—
1669C23—24no—
1670C23—24no—
1671C23—22no—
1672C23—24no—
1673C23—21no—
1674C23—22no—
1675C23—22no—
1676C23—21no—
1677C23—22no—
1678C23—21no—
1679C23—24no—
1680C23—24no—
1681C23—22no—
1682C23—22no—
1683C23—22no—
1684C23—21no—
1685C23—22no—
1686C23—24no—
1687C23—22no—
1688C23—24no—
1689C23—22no—
1690C23—24no—
1691C23—24no—
1692C23—22no—
1693C23—22no—
1694C23—21no—
1695C23—88no—
1696C23—88no—
1697C23—88no—
1698C23—88no—
1699C23—88no—
1700C23—164no—
1701C23—164no—
1702C23C22×#4112yes—
1703C23C2611yescharacteristic
1704Q8—44no—
1705Q8—48no—
1706Q8—84no—
1707Q8—84no—
1708Q8—88no—
1709D4—44no—
1710D4—48no—
1711D4—44no—
1712D4—48no—
1713D4—48no—
1714D4—44no—
1715D4—48no—
1716D4—48no—
1717D4—44no—
1718D4—84no—
1719D4—88no—
1720D4—88no—
1721D4—84no—
1722D4—88no—
1723D4—88no—
1724D4—88no—
1725D4—88no—
1726D4—84no—
1727D4—88no—
1728D4—84no—
1729D4—88no—
1730D4—84no—
1731D4—88no—
1732D4—84no—
1733D4—84no—
1734D4—84no—
1735D4—84no—
1736D4—88no—
1737D4—88no—
1738D4—88no—
1739D4—88no—
1740D4—88no—
1741D4—88no—
1742D4—164no—
1743D4—164no—
1744D4—164no—
1745D4—164no—
1746C2×C4—21no—
1747C2×C4—22no—
1748C2×C4—22no—
1749C2×C4—21no—
1750C2×C4—22no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—22no—
1755C2×C4—22no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—22no—
1759C2×C4—22no—
1760C2×C4—21no—
1761C2×C4—22no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—28no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—22no—
1768C2×C4—22no—
1769C2×C4—22no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—22no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—22no—
1778C2×C4—22no—
1779C2×C4—22no—
1780C2×C4—21no—
1781C2×C4—22no—
1782C2×C4—22no—
1783C2×C4—24no—
1784C2×C4—21no—
1785C2×C4—22no—
1786C2×C4—22no—
1787C2×C4—22no—
1788C2×C4—22no—
1789C2×C4—22no—
1790C2×C4—24no—
1791C2×C4—22no—
1792C2×C4—21no—
1793C2×C4—24no—
1794C2×C4—22no—
1795C2×C4—21no—
1796C2×C4—22no—
1797C2×C4—22no—
1798C2×C4—24no—
1799C2×C4—22no—
1800C2×C4—22no—
1801C2×C4—22no—
1802C2×C4—21no—
1803C2×C4—24no—
1804C2×C4—21no—
1805C2×C4—22no—
1806C2×C4—21no—
1807C2×C4—21no—
1808C2×C4—22no—
1809C2×C4—22no—
1810C2×C4—21no—
1811C2×C4—22no—
1812C2×C4—22no—
1813C2×C4—21no—
1814C2×C4—24no—
1815C2×C4—22no—
1816C2×C4—48no—
1817C2×C4—44no—
1818C2×C4—48no—
1819C2×C4—48no—
1820C2×C4—44no—
1821C2×C4—48no—
1822C2×C4—48no—
1823C2×C4—44no—
1824C2×C4—48no—
1825C2×C4—44no—
1826C2×C4—84no—
1827C2×C4—88no—
1828C2×C4—82no—
1829C2×C4—88no—
1830C2×C4—88no—
1831C2×C4—88no—
1832C2×C4—88no—
1833C2×C4C22×#4114yes—
1834C2×C4C22×#4112yes—
1835C2×C4C22×#4114yes—
1836C2×C4C22×#4112yes—
1837C2×C4C2×H(5,𝔽2)12yes—
1838C2×C4C2×H(5,𝔽2)12yes—
1839C2×C4C2×H(5,𝔽2)12yes—
1840C2×C4C2×H(5,𝔽2)14yes—
1841C2×C4C2×H(5,𝔽2)14yes—
1842C2×C4C2×H(5,𝔽2)12yes—
1843C2×C4C2×H(5,𝔽2)12yes—
1844C2×C4C2×H(5,𝔽2)12yes—
1845C2×C4C2×H(5,𝔽2)12yes—
1846C2×C4C2×H(5,𝔽2)12yes—
1847C2×C4#58512yes—
1848C22—22no—
1849C22—22no—
1850C22—22no—
1851C22—41no—
1852C22—41no—
1853C22—41no—
1854C22—41no—
1855C22—41no—
1856C22—42no—
1857C22—42no—
1858C22—42no—
1859C22—44no—
1860C22—44no—
1861C22—42no—
1862C22—41no—
1863C22—42no—
1864C22—44no—
1865C22—44no—
1866C22—42no—
1867C22—42no—
1868C22—44no—
1869C22—41no—
1870C22—42no—
1871C22—42no—
1872C22—44no—
1873C22—42no—
1874C22—42no—
1875C22—41no—
1876C22—44no—
1877C22—44no—
1878C22—42no—
1879C22—42no—
1880C22—41no—
1881C22—42no—
1882C22—42no—
1883C22—44no—
1884C22—44no—
1885C22—42no—
1886C22—42no—
1887C22—44no—
1888C22—42no—
1889C22—44no—
1890C22—41no—
1891C22—41no—
1892C22—44no—
1893C22—44no—
1894C22—42no—
1895C22—42no—
1896C22—42no—
1897C22—1616no—
1898C22C23×#4111yescharacteristic
1899C22C22×H(5,𝔽2)11yescharacteristic
1900C22C22×H(5,𝔽2)11yescharacteristic
1901C22C22×H(5,𝔽2)11yescharacteristic
1902C22C22×H(5,𝔽2)11yescharacteristic
1903C22C2×#58511yescharacteristic
1904C22H(7,𝔽2)11yescharacteristic
1905C4—24no—
1906C4—24no—
1907C4—22no—
1908C4—22no—
1909C4—24no—
1910C4—22no—
1911C4—24no—
1912C4—22no—
1913C4—22no—
1914C4—42no—
1915C4—41no—
1916C4—42no—
1917C4—41no—
1918C4—41no—
1919C4—44no—
1920C4—42no—
1921C4—41no—
1922C4—42no—
1923C4—42no—
1924C4—41no—
1925C4—42no—
1926C4—42no—
1927C4—42no—
1928C4—44no—
1929C4—41no—
1930C4—42no—
1931C4#350814yes—
1932C4#354914yes—
1933C2—42no—
1934C2—81no—
1935C2—82no—
1936C2—82no—
1937C2—82no—
1938C2—84no—
1939C2—84no—
1940C2C2×#354911yescharacteristic
1941C2C2×#350811yescharacteristic
1942C2#6280011yescharacteristic
1943C2#6291211yescharacteristic
1944C2#6292411yescharacteristic
1945C2#6298611yescharacteristic
1946C2#6301411yescharacteristic
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. #59640C2semidirect
2. #59129C2semidirect
3. #59124C2semidirect
4. #59056C2semidirect
5. #59051C2semidirect
6. #51917C2semidirect
7. #48415C2semidirect
8. #46054C2semidirect
9. #46016C2semidirect
10. #45047C2semidirect
11. #44887C2semidirect
12. #44148C2semidirect
13. #42963C2semidirect
14. #42578C2semidirect
15. #42057C2semidirect
16. #40150C2semidirect
17. #39953C2semidirect
18. #39876C2semidirect
19. #39745C2semidirect
20. #39471C2semidirect
21. #39138C2semidirect
22. #37782C2semidirect
23. #36469C2semidirect
24. #36373C2semidirect
25. #36288C2semidirect
26. #36273C2semidirect
27. #36125C2semidirect
28. #36121C2semidirect
29. #35293C2semidirect
30. #35274C2semidirect
31. #35191C2semidirect
32. #34925C2semidirect
33. #34889C2semidirect
34. #34415C2semidirect
35. C4×#555C2semidirect
36. C2×#559C22semidirect
38. C2×#555C22semidirect
40. C2×#550C22semidirect
41. C2×#547C22semidirect
48. C2×#532C22semidirect
49. C2×#532C22semidirect
50. C2×#532C22semidirect
52. C2×#529C22semidirect
54. #2862C22semidirect
55. #2861C22semidirect
58. #2858C22semidirect
59. #2858C22semidirect
62. #2854C22semidirect
63. #2850C22semidirect
64. #2828C22semidirect
65. #2819C22semidirect
66. #2804C22semidirect
67. #2803C22semidirect
68. #2753C22semidirect
69. #2753C22semidirect
70. #2753C22semidirect
71. #2733C22semidirect
72. #2733C22semidirect
73. #2714C22semidirect
74. #2712C22semidirect
75. #2712C22semidirect
76. #2712C22semidirect
77. #2710C22semidirect
78. #2710C22semidirect
79. #2710C22semidirect
80. #2706C22semidirect
82. #2703C22semidirect
86. #2673C22semidirect
87. #2673C22semidirect
88. #2673C22semidirect
89. #2673C22semidirect
90. #2673C22semidirect
91. #2673C22semidirect
92. #2671C22semidirect
99. #2661C22semidirect
100. #2661C22semidirect
102. #2657C22semidirect
103. #2635C22semidirect
104. #2619C22semidirect
105. #2619C22semidirect
106. #2619C22semidirect
108. #2612C22semidirect
109. #2610C22semidirect
110. #2610C22semidirect
111. #2603C22semidirect
112. #2602C22semidirect
113. #2593C22semidirect
114. #2592C22semidirect
115. #2592C22semidirect
118. #2557C22semidirect
119. #2557C22semidirect
120. #2555C22semidirect
121. #2555C22semidirect
122. #2551C22semidirect
123. #2550C22semidirect
125. #2548C22semidirect
126. #2547C22semidirect
127. #2546C22semidirect
129. #2544C22semidirect
130. #2544C22semidirect
131. #2544C22semidirect
132. #2544C22semidirect
133. #2544C22semidirect
134. #2544C22semidirect
143. #2541C22semidirect
144. #2541C22semidirect
145. #2541C22semidirect
146. #2541C22semidirect
149. #2537C22semidirect
151. #2535C22semidirect
152. #2526C22semidirect
153. #2521C22semidirect
154. #2508C22semidirect
155. #2500C22semidirect
157. #2492C22semidirect
158. #2492C22semidirect
159. #2491C22semidirect
160. #2491C22semidirect
161. #2491C22semidirect
162. #2491C22semidirect
163. #2491C22semidirect
164. #2491C22semidirect
166. #2490C22semidirect
167. #2487C22semidirect
168. #2476C22semidirect
169. #2474C22semidirect
171. #2464C22semidirect
172. #2464C22semidirect
173. #2464C22semidirect
174. #2459C22semidirect
175. #2459C22semidirect
176. #2456C22semidirect
177. #2455C22semidirect
187. #2432C22semidirect
188. #2432C22semidirect
191. #2431C22semidirect
192. #2431C22semidirect
193. #2431C22semidirect
194. #2431C22semidirect
195. #2431C22semidirect
196. #2431C22semidirect
197. #2431C22semidirect
198. #2431C22semidirect
203. #2428C22semidirect
204. #2428C22semidirect
205. #2428C22semidirect
206. #2428C22semidirect
207. #2428C22semidirect
208. #2428C22semidirect
209. #2428C22semidirect
210. #2428C22semidirect
212. #2426C22semidirect
215. #2422C22semidirect
216. #2420C22semidirect
217. #2416C22semidirect
218. #2414C22semidirect
219. #2414C22semidirect
220. #2414C22semidirect
221. #2414C22semidirect
222. #2414C22semidirect
229. #2407C22semidirect
230. #2407C22semidirect
232. #2395C22semidirect
234. #2388C22semidirect
235. #2379C22semidirect
238. #2372C22semidirect
239. #2372C22semidirect
240. #2369C22semidirect
241. #2369C22semidirect
242. #2367C22semidirect
244. #2365C22semidirect
247. #2363C22semidirect
248. #2363C22semidirect
249. #2363C22semidirect
250. #2363C22semidirect
251. #2361C22semidirect
252. #2361C22semidirect
253. #2361C22semidirect
255. #2357C22semidirect
256. #2355C22semidirect
258. #2354C22semidirect
259. #2354C22semidirect
262. #2346C22semidirect
263. #2346C22semidirect
267. #2328C22semidirect
268. #2328C22semidirect
269. #2328C22semidirect
270. #2324C22semidirect
271. #2324C22semidirect
272. #2324C22semidirect
276. C4×C4⋊Q8C22semidirect
279. C4×#124C22semidirect
280. C4×#124C22semidirect
284. C4×#121C22semidirect
285. C4×#121C22semidirect
286. C4×#121C22semidirect
287. C4×#121C22semidirect
288. C4×#121C22semidirect
289. C4×#121C22semidirect
291. #2295C22semidirect
292. #2293C22semidirect
294. C42×D4C22semidirect
295. C42×D4C22semidirect
297. C4×#117C22semidirect
298. C4×#117C22semidirect
1053. #117#41semidirect

Maximal subgroups

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

subgroupindex
#596402
#591292
#591242
#590562
#590512
#519172
#484152
#460542
#460162
#450472
#448872
#441482
#429632
#425782
#420572
#401502
#399532
#398762
#397452
#394712
#391382
#377822
#364692
#363732
#362882
#362732
#361252
#361212
#352932
#352742
#351912
#349252
#348892
#344152
C4×#5552