Finite Group Databasebeta

← #7968931

Subgroups — #7968931

Order 512.

5640 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#59654C211yesmaximal, characteristic, complemented
2#59409C212yesmaximal, complemented
3#59214C211yesmaximal, characteristic, complemented
4#59213C211yesmaximal, characteristic, complemented
5#59021C212yesmaximal, complemented
6#50993C214yesmaximal, complemented
7#48105C214yesmaximal, complemented
8#45631C212yesmaximal, complemented
9#45603C212yesmaximal, complemented
10#45422C212yesmaximal, complemented
11#45353C212yesmaximal, complemented
12#43406C214yesmaximal, complemented
13#42862C212yesmaximal, complemented
14#42510C212yesmaximal, complemented
15#41170C214yesmaximal, complemented
16#40068C212yesmaximal, complemented
17#39934C212yesmaximal, complemented
18#39852C212yesmaximal, complemented
19#39633C211yesmaximal, characteristic, complemented
20#39258C212yesmaximal, complemented
21#38996C212yesmaximal, complemented
22#38908C211yesmaximal, characteristic, complemented
23#36444C211yesmaximal, characteristic, complemented
24#36274C211yesmaximal, characteristic, complemented
25#36194C211yesmaximal, characteristic, complemented
26#36153C211yesmaximal, characteristic, complemented
27#36147C212yesmaximal, complemented
28#36127C211yesmaximal, characteristic, complemented
29#35206C211yesmaximal, characteristic, complemented
30#35189C211yesmaximal, characteristic, complemented
31#35079C212yesmaximal, complemented
32#34935C211yesmaximal, characteristic, complemented
33#34727C211yesmaximal, characteristic, complemented
34#34472C212yesmaximal, complemented
35C4×#546C211yesmaximal, characteristic, complemented
36C2×#553C2212yescomplemented
37C2×D4×Q8C2211yescharacteristic, complemented
38C2×#548C2212yes—
39C2×#548C2212yes—
40C2×#547C2211yescharacteristic
41C2×#547C2212yes—
42C2×#546C2211yescharacteristic
43C2×#546C2212yes—
44C2×#532C2212yescomplemented
45C2×#529C2211yescharacteristic, complemented
46C2×#525C2212yes—
47C2×C4×#41C2211yescharacteristic
48C2×C4×#41C2211yescharacteristic
49C22×C4×D4C2211yescharacteristic
50#2868C2211yescharacteristic, complemented
51#2857C2211yescharacteristic
52#2857C2212yescomplemented
53#2857C2212yescomplemented
54#2857C2211yescharacteristic, complemented
55#2855C2212yescomplemented
56#2855C2212yescomplemented
57#2851C2212yescomplemented
58#2851C2212yescomplemented
59#2850C2212yescomplemented
60#2847C2212yes—
61#2836C2214yescomplemented
62#2831C2214yescomplemented
63#2806C2214yescomplemented
64#2790C2214yescomplemented
65#2782C2214yescomplemented
66#2781C2214yescomplemented
67#2780C2214yes—
68#2779C2214yescomplemented
69#2768C2214yescomplemented
70#2751C2214yes—
71#2751C2214yescomplemented
72#2750C2214yescomplemented
73#2749C2214yes—
74#2747C2214yescomplemented
75#2738C2214yescomplemented
76#2729C2214yescomplemented
77#2715C2214yescomplemented
78#2708C2214yes—
79#2708C2214yescomplemented
80#2706C2214yes—
81#2700C2214yescomplemented
82#2697C2214yes—
83#2695C2214yes—
84#2695C2214yescomplemented
85#2693C2214yes—
86#2693C2214yescomplemented
87#2691C2214yescomplemented
88#2687C2214yes—
89#2687C2214yescomplemented
90#2681C2214yescomplemented
91#2676C2214yescomplemented
92#2675C2214yes—
93#2672C2214yes—
94#2672C2214yes—
95#2670C2214yes—
96#2667C2214yes—
97#2665C2214yes—
98#2652C2214yescomplemented
99#2652C2214yescomplemented
100#2648C2214yescomplemented
101#2647C2212yescomplemented
102#2630C2214yescomplemented
103#2630C2214yescomplemented
104#2625C2212yescomplemented
105#2601C2214yescomplemented
106#2595C2214yescomplemented
107#2587C2214yescomplemented
108#2582C2211yescharacteristic, complemented
109#2571C2212yescomplemented
110#2569C2214yescomplemented
111#2568C2211yescharacteristic, complemented
112#2566C2212yescomplemented
113#2563C2212yes—
114#2557C2214yes—
115#2557C2214yescomplemented
116#2552C2211yescharacteristic, complemented
117#2549C2214yescomplemented
118#2547C2211yescharacteristic
119#2547C2212yescomplemented
120#2547C2212yescomplemented
121#2538C2212yes—
122#2538C2212yes—
123#2538C2211yescharacteristic
124#2538C2211yescharacteristic
125#2538C2211yescharacteristic, complemented
126#2537C2211yescharacteristic
127#2537C2211yescharacteristic
128#2537C2212yes—
129#2537C2211yescharacteristic
130#2537C2212yes—
131#2537C2212yescomplemented
132#2536C2212yes—
133#2536C2212yescomplemented
134#2535C2212yes—
135#2535C2212yescomplemented
136#2534C2214yes—
137#2515C2214yescomplemented
138#2511C2212yescomplemented
139#2509C2212yescomplemented
140#2502C2212yescomplemented
141#2497C2212yes—
142#2497C2212yescomplemented
143#2497C2212yescomplemented
144#2497C2212yescomplemented
145#2496C2212yescomplemented
146#2495C2212yescomplemented
147#2492C2212yes—
148#2492C2212yescomplemented
149#2492C2212yescomplemented
150#2491C2212yescomplemented
151#2489C2212yescomplemented
152#2487C2212yes—
153#2486C2212yes—
154#2486C2212yes—
155#2486C2212yescomplemented
156#2485C2212yescomplemented
157#2485C2212yescomplemented
158#2479C2212yescomplemented
159#2471C2212yescomplemented
160#2468C2214yescomplemented
161#2468C2214yescomplemented
162#2467C2212yes—
163#2461C2214yescomplemented
164#2459C2214yescomplemented
165#2457C2214yes—
166#2456C2212yes—
167#2455C2214yes—
168#2454C2211yescharacteristic, complemented
169#2452C2212yes—
170#2451C2212yescomplemented
171#2451C2212yescomplemented
172#2450C2214yes—
173#2448C2211yescharacteristic, complemented
174#2447C2212yes—
175#2444C2214yescomplemented
176#2444C2214yescomplemented
177#2442C2212yescomplemented
178#2442C2212yescomplemented
179#2441C2211yescharacteristic
180#2441C2212yes—
181#2440C2212yescomplemented
182#2440C2212yescomplemented
183#2439C2212yes—
184#2439C2212yes—
185#2439C2212yescomplemented
186#2438C2214yescomplemented
187#2437C2214yes—
188#2437C2214yes—
189#2432C2214yescomplemented
190#2431C2211yescharacteristic
191#2430C2214yescomplemented
192#2428C2212yescomplemented
193#2428C2211yescharacteristic, complemented
194#2427C2212yes—
195#2427C2212yes—
196#2427C2212yescomplemented
197#2427C2214yescomplemented
198#2425C2214yes—
199#2425C2214yescomplemented
200#2424C2214yes—
201#2424C2214yes—
202#2423C2211yescharacteristic, complemented
203#2422C2212yescomplemented
204#2422C2214yescomplemented
205#2422C2212yescomplemented
206#2420C2212yescomplemented
207#2419C2214yescomplemented
208#2418C2214yes—
209#2417C2212yes—
210#2417C2212yes—
211#2417C2212yescomplemented
212#2417C2212yescomplemented
213#2416C2212yes—
214#2415C2212yescomplemented
215#2415C2214yescomplemented
216#2415C2212yescomplemented
217#2414C2211yescharacteristic
218#2414C2212yescomplemented
219#2412C2214yes—
220#2409C2212yes—
221#2409C2212yescomplemented
222#2408C2212yes—
223#2407C2212yes—
224#2407C2212yes—
225#2407C2214yes—
226#2407C2212yes—
227#2407C2211yescharacteristic
228#2404C2214yes—
229#2397C2212yes—
230#2392C2212yes—
231#2392C2214yes—
232#2379C2214yescomplemented
233#2378C2214yescomplemented
234#2369C2212yescomplemented
235#2367C2211yescharacteristic
236#2364C2212yes—
237#2364C2214yescomplemented
238#2363C2212yes—
239#2363C2211yescharacteristic
240#2361C2212yes—
241#2361C2212yescomplemented
242#2360C2211yescharacteristic
243#2360C2212yescomplemented
244#2359C2212yes—
245#2358C2212yes—
246#2355C2212yescomplemented
247#2354C2212yes—
248#2352C2211yescharacteristic
249Q8×C4⋊C4C2211yescharacteristic, complemented
250#2349C2211yescharacteristic
251#2349C2212yescomplemented
252#2349C2214yescomplemented
253D4×C4⋊C4C2211yescharacteristic
254D4×C4⋊C4C2212yescomplemented
255D4×C4⋊C4C2211yescharacteristic, complemented
256D4×C4⋊C4C2211yescharacteristic, complemented
257#2342C2212yes—
258Q8×C22⋊C4C2212yescomplemented
259#2339C2211yescharacteristic
260#2339C2212yes—
261#2339C2212yes—
262#2339C2214yescomplemented
263D4×C22⋊C4C2211yescharacteristic
264#2337C2214yescomplemented
265#2329C2214yescomplemented
266#2329C2214yescomplemented
267#2326C2212yes—
268#2326C2212yes—
269#2325C2214yescomplemented
270#2324C2212yes—
271#2323C2212yescomplemented
272#2320C2212yescomplemented
273#2318C2214yescomplemented
274#2311C2212yes—
275C4×C4⋊Q8C2211yescharacteristic, complemented
276C4×#127C2211yescharacteristic, complemented
277C4×#124C2211yescharacteristic
278C4×C22⋊Q8C2211yescharacteristic
279C4×#123C2212yes—
280C4×#121C2212yes—
281C4×#121C2211yescharacteristic
282C4×#121C2212yes—
283C4×#121C2211yescharacteristic
284C4×#121C2212yes—
285C4×#121C2212yescomplemented
286C4×#121C2212yescomplemented
287C4×#121C2211yescharacteristic, complemented
288C4×#120C2212yes—
289#2295C2211yescharacteristic, complemented
290C2×#391C2212yescomplemented
291#2290C2212yescomplemented
292#2285C2211yescharacteristic
293#2285C2211yescharacteristic, complemented
294#2280C2212yes—
295C2×#380C2212yes—
296C42×D4C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C2×C4×C22⋊C4C2212yes—
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C22×#41C2312yes—
302C22×#41C2314yes—
303C23×Q8C2312yes—
304C23×D4C2311yescharacteristic
305C24×C4C2312yes—
306#553—48no—
307D4×Q8—44no—
308#548—216no—
309#548—48no—
310#547—44no—
311#547—48no—
312#546—28no—
313#546—48no—
314#532—48no—
315C2×C4⋊Q8C2311yescharacteristic
316C2×C4⋊Q8C2312yes—
317C2×C4⋊Q8C2312yes—
318C2×C4⋊Q8C2312yes—
319C2×C4⋊Q8C2312yes—
320C2×#127C2311yescharacteristic
321#529—44no—
322C2×#126C2312yes—
323C2×#126C2314yes—
324C2×#125C2312yes—
325C2×#125C2311yescharacteristic
326C2×#124C2312yes—
327C2×#124C2314yes—
328C2×#124C2311yescharacteristic
329C2×#124C2314yes—
330C2×#124C2314yes—
331C2×#124C2311yescharacteristic
332#525—48no—
333C2×#123C2312yes—
334C2×#123C2312yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×#123C2314yes—
338C2×#123C2314yes—
339C2×#123C2314yes—
340C2×#123C2314yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2314yes—
343C2×C22⋊Q8C2311yescharacteristic
344C2×C22⋊Q8C2314yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2314yes—
350C2×C22⋊Q8C2314yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2311yescharacteristic
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2314yes—
355C2×#121C2312yes—
356C2×#121C2314yes—
357C2×#121C2311yescharacteristic
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2311yescharacteristic
361C2×#121C2312yes—
362C2×#121C2311yescharacteristic
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2314yes—
368C2×#121C2311yescharacteristic
369C2×#121C2314yes—
370C2×#121C2314yes—
371C2×#121C2314yes—
372C2×#121C2312yes—
373C2×#120C2312yes—
374C2×#120C2314yes—
375C2×#120C2314yes—
376C4×#41—44no—
377C4×#41—44no—
378C2×C4×Q8C2312yes—
379C2×C4×Q8C2311yescharacteristic
380C2×C4×Q8C2311yescharacteristic
381C2×C4×Q8C2311yescharacteristic
382C2×C4×Q8C2312yes—
383C2×C4×Q8C2311yescharacteristic
384C2×C4×D4—44no—
385C2×C4×D4C2312yes—
386C2×C4×D4C2311yescharacteristic
387C2×C4×D4C2311yescharacteristic
388C2×C4×D4C2314yes—
389C2×C4×D4C2311yescharacteristic
390C2×C4×D4C2311yescharacteristic
391C2×C4×D4C2312yes—
392C2×C4×D4C2311yescharacteristic
393C2×C4×D4C2311yescharacteristic
394C2×C4×D4C2311yescharacteristic
395C2×C4×D4C2311yescharacteristic
396C2×C4×D4C2312yes—
397C2×C4×D4C2311yescharacteristic
398C2×C4×D4C2312yes—
399C2×C4×D4C2311yescharacteristic
400C2×C4×D4C2314yes—
401C2×C4×D4C2314yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2311yescharacteristic
404C2×C4×D4C2311yescharacteristic
405C2×C4×D4C2312yes—
406C2×C4×D4C2314yes—
407C2×C4×D4C2314yes—
408C2×C4×D4C2311yescharacteristic
409C2×C4×D4C2314yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2312yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2312yes—
417C2×C4×D4C2312yes—
418C2×C4×D4C2312yes—
419C2×C4×D4C2312yes—
420C2×#117C2312yes—
421C2×#117C2312yes—
422C2×#117C2311yescharacteristic
423C2×#117C2312yes—
424C2×#117C2312yes—
425C2×#117C2312yes—
426C2×#117C2311yescharacteristic
427C22×C4⋊C4C2312yes—
428C22×C4⋊C4C2312yes—
429C22×C4⋊C4C2312yes—
430C22×C4⋊C4C2311yescharacteristic
431C22×C4⋊C4C2312yes—
432C22×C22⋊C4C2312yes—
433C22×C22⋊C4C2312yes—
434C22×C22⋊C4C2312yes—
435C22×C22⋊C4C2314yes—
436C22×C42C2311yescharacteristic
437C22×C42C2311yescharacteristic
438C22×C42C2312yes—
439C22×C42C2312yes—
440C22×C42C2312yes—
441#400C2314yes—
442#400C2314yes—
443#400C2314yes—
444#400C2314yes—
445#400C2314yes—
446#400C2314yes—
447#400C2314yes—
448#400C2314yes—
449#400C2314yes—
450#400C2314yes—
451#400C2314yes—
452#399C2312yes—
453#399C2312yes—
454#399C2312yes—
455#399C2312yes—
456#399C2314yes—
457#398C2314yes—
458#398C2314yes—
459#398C2314yes—
460#398C2314yes—
461#398C2314yes—
462#398C2314yes—
463#398C2314yes—
464#398C2314yes—
465#398C2314yes—
466#398C2314yes—
467#398C2312yes—
468#398C2314yes—
469#398C2314yes—
470#397C2312yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#397C2314yes—
477#397C2314yes—
478#397C2314yes—
479#397C2314yes—
480#397C2314yes—
481#397C2314yes—
482#397C2314yes—
483#397C2314yes—
484#397C2314yes—
485#396C2314yes—
486#396C2314yes—
487#396C2314yes—
488#396C2314yes—
489#396C2314yes—
490#396C2314yes—
491#396C2314yes—
492#396C2312yes—
493#396C2312yes—
494#396C2314yes—
495#396C2314yes—
496#396C2314yes—
497#396C2314yes—
498#396C2314yes—
499#395C2314yes—
500#395C2314yes—
501#395C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2312yes—
509#394C2312yes—
510#394C2314yes—
511#394C2312yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#393C2314yes—
522#393C2314yes—
523#393C2314yes—
524#393C2314yes—
525#393C2314yes—
526#392C2312yes—
527#392C2314yes—
528#392C2312yes—
529#392C2314yes—
530#392C2314yes—
531#392C2312yes—
532#392C2312yes—
533#392C2312yes—
534#392C2314yes—
535#391C2312yes—
536#391C2312yes—
537#391C2312yes—
538#391C2312yes—
539#391C2312yes—
540#391C2314yes—
541#391C2312yes—
542#391C2312yes—
543#391C2312yes—
544#391C2314yes—
545#391C2314yes—
546#391C2314yes—
547#391C2314yes—
548#391C2312yes—
549#391C2311yescharacteristic
550#391C2311yescharacteristic
551#391C2314yes—
552#391C2311yescharacteristic
553#391C2314yes—
554#391C2314yes—
555#391C2311yescharacteristic
556#390C2311yescharacteristic
557#390C2311yescharacteristic
558#390C2312yes—
559#390C2312yes—
560#390C2314yes—
561#390C2311yescharacteristic
562#390C2312yes—
563#390C2311yescharacteristic
564#390C2312yes—
565#390C2312yes—
566#390C2314yes—
567#390C2311yescharacteristic
568#390C2312yes—
569#390C2314yes—
570#390C2312yes—
571#390C2311yescharacteristic
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2314yes—
577#389C2312yes—
578#389C2312yes—
579#389C2314yes—
580#389C2312yes—
581#389C2314yes—
582#389C2312yes—
583#389C2312yes—
584#389C2314yes—
585#389C2314yes—
586#389C2314yes—
587#389C2314yes—
588#389C2311yescharacteristic
589#389C2312yes—
590#389C2311yescharacteristic
591#389C2312yes—
592#389C2312yes—
593#389C2311yescharacteristic
594#389C2312yes—
595#389C2312yes—
596#389C2312yes—
597#389C2312yes—
598#389C2311yescharacteristic
599#389C2312yes—
600#389C2312yes—
601#389C2312yes—
602#389C2311yescharacteristic
603#389C2311yescharacteristic
604#388C2312yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2312yes—
610#388C2312yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2312yes—
615#388C2314yes—
616#388C2312yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2312yes—
621#388C2312yes—
622#388C2312yes—
623#388C2314yes—
624#388C2314yes—
625#388C2312yes—
626#388C2314yes—
627#388C2314yes—
628#388C2312yes—
629#388C2314yes—
630#388C2312yes—
631#388C2312yes—
632#388C2312yes—
633#388C2314yes—
634#387C2312yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2312yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2312yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2312yes—
651#387C2312yes—
652#387C2312yes—
653#387C2314yes—
654#387C2312yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2312yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2312yes—
666#386C2312yes—
667#386C2314yes—
668#386C2312yes—
669#386C2312yes—
670#386C2314yes—
671#386C2314yes—
672#386C2312yes—
673#386C2314yes—
674#386C2312yes—
675#386C2312yes—
676#386C2314yes—
677#386C2312yes—
678#386C2314yes—
679#386C2312yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2312yes—
684#386C2312yes—
685#386C2314yes—
686#386C2312yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2312yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2312yes—
701#385C2314yes—
702#385C2312yes—
703#385C2314yes—
704#385C2314yes—
705#385C2312yes—
706#385C2312yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2312yes—
711#385C2312yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#384C2311yescharacteristic
716#384C2311yescharacteristic
717#384C2312yes—
718#384C2312yes—
719#384C2312yes—
720#384C2312yes—
721#384C2311yescharacteristic
722#384C2311yescharacteristic
723#384C2312yes—
724#383C2314yes—
725#382C2314yes—
726#382C2312yes—
727#382C2312yes—
728#382C2312yes—
729#382C2314yes—
730#382C2311yescharacteristic
731#381C2314yes—
732#381C2312yes—
733#381C2314yes—
734#381C2314yes—
735#381C2314yes—
736#381C2314yes—
737#380C2312yes—
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2314yes—
742#380C2314yes—
743#380C2314yes—
744#380C2314yes—
745#380C2314yes—
746#380C2312yes—
747#380C2312yes—
748#380C2314yes—
749#380C2314yes—
750#380C2312yes—
751#380C2312yes—
752#380C2312yes—
753#380C2311yescharacteristic
754#380C2311yescharacteristic
755#380C2314yes—
756#380C2312yes—
757#380C2312yes—
758#380C2312yes—
759#380C2312yes—
760#380C2312yes—
761#380C2312yes—
762#380C2312yes—
763#380C2312yes—
764#380C2312yes—
765#380C2314yes—
766#380C2311yescharacteristic
767#380C2312yes—
768#380C2312yes—
769#380C2312yes—
770#380C2314yes—
771#380C2311yescharacteristic
772#380C2312yes—
773#380C2312yes—
774#380C2312yes—
775#379C2312yes—
776#379C2314yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2314yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2311yescharacteristic
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2311yescharacteristic
817#376C2312yes—
818C2×#95C2312yes—
819C2×#95C2314yes—
820C2×#95C2314yes—
821C2×#95C2312yes—
822C2×#95C2314yes—
823C43C2311yescharacteristic
824C25C2412yes—
825C2×#41—24no—
826C2×#41—28no—
827C2×#41—24no—
828C2×#41—24no—
829C2×#41—24no—
830C2×#41—48no—
831C2×#41—48no—
832C2×#41—42no—
833C2×#41—42no—
834C2×#41—44no—
835C2×#41—44no—
836C2×#41—48no—
837C22×Q8—28no—
838C22×Q8—44no—
839C22×Q8—44no—
840C22×Q8C2411yescharacteristic
841C22×Q8C2412yes—
842C22×Q8C2411yescharacteristic
843C22×Q8C2414yes—
844C22×Q8C2414yes—
845C22×D4—24no—
846C22×D4—24no—
847C22×D4—42no—
848C22×D4C2411yescharacteristic
849C22×D4C2411yescharacteristic
850C22×D4C2414yes—
851C22×D4C2412yes—
852C22×D4C2412yes—
853C22×D4C2414yes—
854C22×D4C2412yes—
855C22×D4C2412yes—
856C22×D4C2412yes—
857C22×D4C2411yescharacteristic
858C22×D4C2411yescharacteristic
859C22×D4C2411yescharacteristic
860C22×D4C2412yes—
861C22×D4C2412yes—
862C22×D4C2412yes—
863C22×D4C2414yes—
864C22×D4C2414yes—
865C22×D4C2412yes—
866C23×C4—28no—
867C23×C4—44no—
868C23×C4—44no—
869C23×C4C2412yes—
870C23×C4C2412yes—
871C23×C4C2412yes—
872C23×C4C2411yescharacteristic
873C23×C4C2411yescharacteristic
874C23×C4C2411yescharacteristic
875C23×C4C2412yes—
876C23×C4C2412yes—
877C23×C4C2412yes—
878C23×C4C2412yes—
879C23×C4C2411yescharacteristic
880C23×C4C2411yescharacteristic
881C23×C4C2414yes—
882C23×C4C2412yes—
883C23×C4C2412yes—
884C23×C4C2414yes—
885C23×C4C2412yes—
886C23×C4C2412yes—
887C23×C4C2414yes—
888C23×C4C2411yescharacteristic
889C23×C4C2414yes—
890C23×C4C2412yes—
891C23×C4C2414yes—
892C23×C4C2412yes—
893C4⋊Q8—24no—
894C4⋊Q8—44no—
895C4⋊Q8—44no—
896C4⋊Q8—44no—
897C4⋊Q8—44no—
898#127—24no—
899#126—44no—
900#126—48no—
901#125—42no—
902#125—44no—
903#124—28no—
904#124—216no—
905#124—42no—
906#124—48no—
907#124—48no—
908#124#4118yescomplemented
909#123—28no—
910#123—48no—
911#123—48no—
912#123—48no—
913#123—48no—
914#123—48no—
915#123—44no—
916#123—48no—
917C22⋊Q8—24no—
918C22⋊Q8—28no—
919C22⋊Q8—216no—
920C22⋊Q8—48no—
921C22⋊Q8—48no—
922C22⋊Q8—48no—
923C22⋊Q8—48no—
924C22⋊Q8—44no—
925C22⋊Q8—44no—
926C22⋊Q8—42no—
927C22⋊Q8—44no—
928C22⋊Q8—44no—
929C22⋊Q8—44no—
930C22⋊Q8—44no—
931#121—24no—
932#121—28no—
933#121—28no—
934#121—28no—
935#121—28no—
936#121—28no—
937#121—24no—
938#121—24no—
939#121—28no—
940#121—216no—
941#121—44no—
942#121—48no—
943#121—48no—
944#121—48no—
945#121—48no—
946#121—42no—
947#121—44no—
948#121—44no—
949#120—28no—
950#120—48no—
951#120—48no—
952C4×Q8—28no—
953C4×Q8—24no—
954C4×Q8—24no—
955C4×Q8—42no—
956C4×Q8—42no—
957C4×Q8—44no—
958C4×D4—28no—
959C4×D4—24no—
960C4×D4—24no—
961C4×D4—216no—
962C4×D4—24no—
963C4×D4—24no—
964C4×D4—28no—
965C4×D4—24no—
966C4×D4—24no—
967C4×D4—24no—
968C4×D4—24no—
969C4×D4—44no—
970C4×D4—42no—
971C4×D4—42no—
972C4×D4—42no—
973C4×D4—42no—
974C4×D4—42no—
975C4×D4—44no—
976C4×D4—44no—
977C4×D4—44no—
978C4×D4—44no—
979C4×D4—44no—
980C4×D4—44no—
981C4×D4—44no—
982C4×D4—44no—
983C4×D4—44no—
984C4×D4—44no—
985C4×D4—44no—
986C4×D4—44no—
987C4×D4—44no—
988C4×D4—48no—
989C4×D4—48no—
990C4×D4—48no—
991C4×D4—48no—
992C4×D4—48no—
993#117—44no—
994#117—44no—
995#117—44no—
996#117—42no—
997#117—42no—
998#117—44no—
999#117—44no—
1000C2×C4⋊C4—42no—
1001C2×C4⋊C4—44no—
1002C2×C4⋊C4—44no—
1003C2×C4⋊C4—44no—
1004C2×C4⋊C4—44no—
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2411yescharacteristic
1025C2×C4⋊C4C2411yescharacteristic
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2411yescharacteristic
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2411yescharacteristic
1052C2×C4⋊C4C2414yes—
1053C2×C4⋊C4C2414yes—
1054C2×C4⋊C4C2414yes—
1055C2×C4⋊C4C2414yes—
1056C2×C4⋊C4C2414yes—
1057C2×C4⋊C4C2414yes—
1058C2×C4⋊C4C2414yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2414yes—
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2414yes—
1066C2×C22⋊C4—28no—
1067C2×C22⋊C4—44no—
1068C2×C22⋊C4—44no—
1069C2×C22⋊C4—48no—
1070C2×C22⋊C4C2411yescharacteristic
1071C2×C22⋊C4C2411yescharacteristic
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2411yescharacteristic
1087C2×C22⋊C4C2411yescharacteristic
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2411yescharacteristic
1093C2×C22⋊C4C2411yescharacteristic
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2412yes—
1137C2×C42—24no—
1138C2×C42—24no—
1139C2×C42—44no—
1140C2×C42—44no—
1141C2×C42—44no—
1142C2×C42C2411yescharacteristic
1143C2×C42C2411yescharacteristic
1144C2×C42C2411yescharacteristic
1145C2×C42C2412yes—
1146C2×C42C2412yes—
1147C2×C42C2411yescharacteristic
1148C2×C42C2412yes—
1149C2×C42C2411yescharacteristic
1150C2×C42C2412yes—
1151C2×C42C2411yescharacteristic
1152C2×C42C2414yes—
1153C2×C42C2411yescharacteristic
1154C2×C42C2411yescharacteristic
1155C2×C42C2411yescharacteristic
1156C2×C42C2411yescharacteristic
1157C2×C42C2412yes—
1158C2×C42C2412yes—
1159C2×C42C2414yes—
1160C2×C42C2414yes—
1161C2×C42C2412yes—
1162C2×C42C2414yes—
1163C2×C42C2412yes—
1164C2×C42C2412yes—
1165C2×C42C2412yes—
1166C2×C42C2411yescharacteristic
1167C2×C42C2411yescharacteristic
1168C2×C42C2411yescharacteristic
1169#95C2412yes—
1170#95C2411yescharacteristic
1171#95C2411yescharacteristic
1172#95C2412yes—
1173#95C2414yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2411yescharacteristic
1192#95C2411yescharacteristic
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2411yescharacteristic
1197#95C2411yescharacteristic
1198#95C2414yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2414yes—
1204#95C2414yes—
1205#95C2414yes—
1206#95C2412yes—
1207#95C2414yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2414yes—
1212#95C2414yes—
1213#95C2414yes—
1214#95C2414yes—
1215#95C2414yes—
1216#95C2412yes—
1217#95C2414yes—
1218#95C2412yes—
1219#95C2412yes—
1220#95C2414yes—
1221#95C2414yes—
1222#95C2414yes—
1223#95C2414yes—
1224#95C2414yes—
1225#95C2414yes—
1226#95C2414yes—
1227#95C2414yes—
1228#95C2414yes—
1229C24—24no—
1230C24—24no—
1231C24—24no—
1232C24—42no—
1233C24—42no—
1234C24—42no—
1235C24—42no—
1236C24C2512yes—
1237C24C2511yescharacteristic
1238C24C2512yes—
1239C24C2512yes—
1240C24C2512yes—
1241C24C2511yescharacteristic
1242#41—416no—
1243#41—416no—
1244#41—816no—
1245#41—832no—
1246C2×Q8—24no—
1247C2×Q8—28no—
1248C2×Q8—22no—
1249C2×Q8—22no—
1250C2×Q8—22no—
1251C2×Q8—22no—
1252C2×Q8—24no—
1253C2×Q8—24no—
1254C2×Q8—22no—
1255C2×Q8—28no—
1256C2×Q8—44no—
1257C2×Q8—44no—
1258C2×Q8—44no—
1259C2×Q8—44no—
1260C2×Q8—816no—
1261C2×Q8C2×#4114yes—
1262C2×D4—28no—
1263C2×D4—24no—
1264C2×D4—28no—
1265C2×D4—24no—
1266C2×D4—28no—
1267C2×D4—28no—
1268C2×D4—24no—
1269C2×D4—24no—
1270C2×D4—24no—
1271C2×D4—24no—
1272C2×D4—22no—
1273C2×D4—24no—
1274C2×D4—24no—
1275C2×D4—28no—
1276C2×D4—28no—
1277C2×D4—24no—
1278C2×D4—24no—
1279C2×D4—22no—
1280C2×D4—22no—
1281C2×D4—24no—
1282C2×D4—24no—
1283C2×D4—22no—
1284C2×D4—22no—
1285C2×D4—22no—
1286C2×D4—22no—
1287C2×D4—22no—
1288C2×D4—22no—
1289C2×D4—22no—
1290C2×D4—22no—
1291C2×D4—24no—
1292C2×D4—42no—
1293C2×D4—42no—
1294C2×D4—42no—
1295C2×D4—41no—
1296C2×D4—42no—
1297C2×D4—42no—
1298C2×D4—44no—
1299C2×D4—44no—
1300C2×D4—42no—
1301C2×D4—42no—
1302C2×D4—42no—
1303C2×D4—42no—
1304C2×D4—44no—
1305C2×D4—44no—
1306C2×D4—44no—
1307C2×D4—42no—
1308C2×D4—42no—
1309C2×D4—42no—
1310C2×D4—42no—
1311C2×D4—42no—
1312C2×D4—44no—
1313C2×D4—416no—
1314C2×D4C2×#4114yes—
1315C2×D4H(5,𝔽2)14yes—
1316C2×D4H(5,𝔽2)14yes—
1317C22×C4—22no—
1318C22×C4—22no—
1319C22×C4—24no—
1320C22×C4—24no—
1321C22×C4—24no—
1322C22×C4—28no—
1323C22×C4—28no—
1324C22×C4—24no—
1325C22×C4—24no—
1326C22×C4—24no—
1327C22×C4—22no—
1328C22×C4—22no—
1329C22×C4—24no—
1330C22×C4—22no—
1331C22×C4—22no—
1332C22×C4—22no—
1333C22×C4—24no—
1334C22×C4—24no—
1335C22×C4—24no—
1336C22×C4—24no—
1337C22×C4—24no—
1338C22×C4—24no—
1339C22×C4—24no—
1340C22×C4—22no—
1341C22×C4—24no—
1342C22×C4—22no—
1343C22×C4—22no—
1344C22×C4—22no—
1345C22×C4—24no—
1346C22×C4—24no—
1347C22×C4—24no—
1348C22×C4—24no—
1349C22×C4—24no—
1350C22×C4—28no—
1351C22×C4—22no—
1352C22×C4—22no—
1353C22×C4—24no—
1354C22×C4—24no—
1355C22×C4—42no—
1356C22×C4—42no—
1357C22×C4—42no—
1358C22×C4—42no—
1359C22×C4—42no—
1360C22×C4—42no—
1361C22×C4—42no—
1362C22×C4—44no—
1363C22×C4—42no—
1364C22×C4—44no—
1365C22×C4—44no—
1366C22×C4—44no—
1367C22×C4—42no—
1368C22×C4—42no—
1369C22×C4—42no—
1370C22×C4—42no—
1371C22×C4—44no—
1372C22×C4—44no—
1373C22×C4—44no—
1374C22×C4—41no—
1375C22×C4—41no—
1376C22×C4—42no—
1377C22×C4—42no—
1378C22×C4—41no—
1379C22×C4—41no—
1380C22×C4—42no—
1381C22×C4—42no—
1382C22×C4—42no—
1383C22×C4—44no—
1384C22×C4—44no—
1385C22×C4—44no—
1386C22×C4—44no—
1387C22×C4—44no—
1388C22×C4—816no—
1389C22×C42−1+414yes—
1390C22×C4C2511yescharacteristic
1391C22×C4C2511yescharacteristic
1392C22×C4C2512yes—
1393C22×C4C2512yes—
1394C22×C4C2511yescharacteristic
1395C22×C4C2512yes—
1396C22×C4C2512yes—
1397C22×C4C2512yes—
1398C22×C4C2512yes—
1399C22×C4C2514yes—
1400C22×C4C2512yes—
1401C22×C4C2514yes—
1402C22×C4C2512yes—
1403C22×C4C2514yes—
1404C22×C4C2511yescharacteristic
1405C22×C4C2511yescharacteristic
1406C22×C4C2512yes—
1407C22×C4C2514yes—
1408C22×C4C2511yescharacteristic
1409C22×C4C2512yes—
1410C22×C4C2512yes—
1411C22×C4C2511yescharacteristic
1412C22×C4C2511yescharacteristic
1413C22×C4C2512yes—
1414C22×C4C2511yescharacteristic
1415C22×C4C2511yescharacteristic
1416C22×C4C2511yescharacteristic
1417C22×C4C2511yescharacteristic
1418C22×C4C2511yescharacteristic
1419C4⋊C4—22no—
1420C4⋊C4—28no—
1421C4⋊C4—24no—
1422C4⋊C4—22no—
1423C4⋊C4—24no—
1424C4⋊C4—28no—
1425C4⋊C4—24no—
1426C4⋊C4—22no—
1427C4⋊C4—22no—
1428C4⋊C4—22no—
1429C4⋊C4—22no—
1430C4⋊C4—24no—
1431C4⋊C4—22no—
1432C4⋊C4—24no—
1433C4⋊C4—24no—
1434C4⋊C4—24no—
1435C4⋊C4—24no—
1436C4⋊C4—22no—
1437C4⋊C4—22no—
1438C4⋊C4—24no—
1439C4⋊C4—22no—
1440C4⋊C4—24no—
1441C4⋊C4—24no—
1442C4⋊C4—24no—
1443C4⋊C4—22no—
1444C4⋊C4—22no—
1445C4⋊C4—24no—
1446C4⋊C4—42no—
1447C4⋊C4—44no—
1448C4⋊C4—44no—
1449C4⋊C4—44no—
1450C4⋊C4—44no—
1451C4⋊C4—42no—
1452C4⋊C4—42no—
1453C4⋊C4—42no—
1454C4⋊C4—44no—
1455C4⋊C4—42no—
1456C4⋊C4—42no—
1457C4⋊C4—42no—
1458C4⋊C4—42no—
1459C4⋊C4—41no—
1460C4⋊C4—44no—
1461C4⋊C4—42no—
1462C4⋊C4—42no—
1463C4⋊C4—44no—
1464C4⋊C4—44no—
1465C4⋊C4—44no—
1466C4⋊C4—42no—
1467C4⋊C4—44no—
1468C4⋊C4—42no—
1469C4⋊C4—42no—
1470C4⋊C4—44no—
1471C4⋊C4—44no—
1472C4⋊C4—44no—
1473C4⋊C4—44no—
1474C4⋊C4—44no—
1475C4⋊C4—44no—
1476C4⋊C4—44no—
1477C4⋊C4—44no—
1478C4⋊C4—42no—
1479C4⋊C4—42no—
1480C22⋊C4—24no—
1481C22⋊C4—28no—
1482C22⋊C4—28no—
1483C22⋊C4—28no—
1484C22⋊C4—28no—
1485C22⋊C4—24no—
1486C22⋊C4—28no—
1487C22⋊C4—24no—
1488C22⋊C4—28no—
1489C22⋊C4—28no—
1490C22⋊C4—28no—
1491C22⋊C4—22no—
1492C22⋊C4—22no—
1493C22⋊C4—24no—
1494C22⋊C4—24no—
1495C22⋊C4—24no—
1496C22⋊C4—22no—
1497C22⋊C4—24no—
1498C22⋊C4—28no—
1499C22⋊C4—24no—
1500C22⋊C4—24no—
1501C22⋊C4—24no—
1502C22⋊C4—24no—
1503C22⋊C4—22no—
1504C22⋊C4—24no—
1505C22⋊C4—22no—
1506C22⋊C4—24no—
1507C22⋊C4—22no—
1508C22⋊C4—42no—
1509C22⋊C4—42no—
1510C22⋊C4—42no—
1511C22⋊C4—42no—
1512C22⋊C4—42no—
1513C22⋊C4—44no—
1514C22⋊C4—42no—
1515C22⋊C4—44no—
1516C22⋊C4—44no—
1517C22⋊C4—42no—
1518C22⋊C4—42no—
1519C22⋊C4—42no—
1520C22⋊C4—42no—
1521C22⋊C4—42no—
1522C22⋊C4—44no—
1523C22⋊C4—44no—
1524C22⋊C4—42no—
1525C22⋊C4—42no—
1526C22⋊C4—42no—
1527C22⋊C4—42no—
1528C22⋊C4—44no—
1529C22⋊C4—44no—
1530C22⋊C4—44no—
1531C22⋊C4—42no—
1532C22⋊C4—44no—
1533C22⋊C4—44no—
1534C22⋊C4—44no—
1535C22⋊C4—42no—
1536C22⋊C4—42no—
1537C22⋊C4—42no—
1538C22⋊C4—42no—
1539C22⋊C4—42no—
1540C22⋊C4—42no—
1541C22⋊C4—42no—
1542C22⋊C4—44no—
1543C22⋊C4—44no—
1544C22⋊C4—44no—
1545C22⋊C4C2×#4118yes—
1546C22⋊C4C2×#4118yes—
1547C42—28no—
1548C42—22no—
1549C42—22no—
1550C42—22no—
1551C42—22no—
1552C42—22no—
1553C42—22no—
1554C42—22no—
1555C42—24no—
1556C42—24no—
1557C42—24no—
1558C42—22no—
1559C42—24no—
1560C42—22no—
1561C42—22no—
1562C42—42no—
1563C42—42no—
1564C42—42no—
1565C42—42no—
1566C42—42no—
1567C42—42no—
1568C42—41no—
1569C42—44no—
1570C42—44no—
1571C42—44no—
1572C42C2×#4114yes—
1573C42H(5,𝔽2)14yes—
1574C23—21no—
1575C23—22no—
1576C23—22no—
1577C23—22no—
1578C23—22no—
1579C23—22no—
1580C23—21no—
1581C23—21no—
1582C23—22no—
1583C23—21no—
1584C23—22no—
1585C23—22no—
1586C23—22no—
1587C23—22no—
1588C23—22no—
1589C23—22no—
1590C23—22no—
1591C23—21no—
1592C23—22no—
1593C23—22no—
1594C23—22no—
1595C23—22no—
1596C23—22no—
1597C23—21no—
1598C23—22no—
1599C23—21no—
1600C23—22no—
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—22no—
1605C23—22no—
1606C23—21no—
1607C23—22no—
1608C23—21no—
1609C23—22no—
1610C23—22no—
1611C23—21no—
1612C23—48no—
1613C23—48no—
1614C23—48no—
1615C23—84no—
1616C23—84no—
1617C23—84no—
1618C23—84no—
1619C23C22×#4114yes—
1620C23C2×H(5,𝔽2)14yes—
1621C23C2×H(5,𝔽2)14yes—
1622C23C2×2−1+412yes—
1623C23C2611yescharacteristic
1624Q8—28no—
1625Q8—48no—
1626Q8—44no—
1627Q8—88no—
1628Q8—88no—
1629D4—28no—
1630D4—28no—
1631D4—28no—
1632D4—48no—
1633D4—44no—
1634D4—48no—
1635D4—48no—
1636D4—416no—
1637D4—48no—
1638D4—48no—
1639D4—416no—
1640D4—44no—
1641D4—84no—
1642D4—84no—
1643D4—84no—
1644D4—88no—
1645D4—88no—
1646D4—84no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—22no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—22no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—28no—
1660C2×C4—24no—
1661C2×C4—24no—
1662C2×C4—22no—
1663C2×C4—21no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—22no—
1676C2×C4—22no—
1677C2×C4—22no—
1678C2×C4—21no—
1679C2×C4—22no—
1680C2×C4—21no—
1681C2×C4—22no—
1682C2×C4—24no—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—24no—
1686C2×C4—24no—
1687C2×C4—24no—
1688C2×C4—22no—
1689C2×C4—22no—
1690C2×C4—24no—
1691C2×C4—22no—
1692C2×C4—22no—
1693C2×C4—24no—
1694C2×C4—22no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—22no—
1698C2×C4—24no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—22no—
1704C2×C4—22no—
1705C2×C4—22no—
1706C2×C4—22no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—22no—
1710C2×C4—22no—
1711C2×C4—22no—
1712C2×C4—22no—
1713C2×C4—24no—
1714C2×C4—24no—
1715C2×C4—21no—
1716C2×C4—22no—
1717C2×C4—24no—
1718C2×C4—22no—
1719C2×C4—21no—
1720C2×C4—22no—
1721C2×C4—22no—
1722C2×C4—21no—
1723C2×C4—48no—
1724C2×C4—48no—
1725C2×C4—48no—
1726C2×C4—44no—
1727C2×C4—48no—
1728C2×C4—44no—
1729C2×C4—48no—
1730C2×C4—44no—
1731C2×C4—48no—
1732C2×C4—48no—
1733C2×C4—84no—
1734C2×C4—82no—
1735C2×C4—82no—
1736C2×C4—84no—
1737C2×C4—84no—
1738C2×C4—88no—
1739C2×C4—84no—
1740C2×C4—88no—
1741C2×C4—88no—
1742C2×C4—84no—
1743C2×C4—84no—
1744C2×C4—88no—
1745C2×C4—164no—
1746C2×C4C22×#4112yes—
1747C2×C4C22×#4112yes—
1748C2×C4C22×#4114yes—
1749C2×C4C22×#4112yes—
1750C2×C4C2×H(5,𝔽2)12yes—
1751C2×C4C2×H(5,𝔽2)12yes—
1752C2×C4C2×H(5,𝔽2)12yes—
1753C2×C4C2×H(5,𝔽2)12yes—
1754C2×C4C2×H(5,𝔽2)12yes—
1755C2×C4C2×2−1+412yes—
1756C2×C4C2×2−1+412yes—
1757C2×C4#58512yes—
1758C22—22no—
1759C22—24no—
1760C22—24no—
1761C22—24no—
1762C22—24no—
1763C22—24no—
1764C22—24no—
1765C22—24no—
1766C22—22no—
1767C22—24no—
1768C22—22no—
1769C22—24no—
1770C22—42no—
1771C22—42no—
1772C22—42no—
1773C22—41no—
1774C22—42no—
1775C22—41no—
1776C22—42no—
1777C22—41no—
1778C22—42no—
1779C22—42no—
1780C22—42no—
1781C22—42no—
1782C22—42no—
1783C22—42no—
1784C22—41no—
1785C22—42no—
1786C22—41no—
1787C22—42no—
1788C22—42no—
1789C22—41no—
1790C22—42no—
1791C22—41no—
1792C22—41no—
1793C22—42no—
1794C22—41no—
1795C22—42no—
1796C22—42no—
1797C22—41no—
1798C22—41no—
1799C22—42no—
1800C22—816no—
1801C22C23×#4111yescharacteristic
1802C22C22×H(5,𝔽2)11yescharacteristic
1803C22C22×H(5,𝔽2)11yescharacteristic
1804C22C22×H(5,𝔽2)11yescharacteristic
1805C22C22×2−1+411yescharacteristic
1806C22C2×#58511yescharacteristic
1807C222−1+611yescharacteristic
1808C4—22no—
1809C4—22no—
1810C4—22no—
1811C4—24no—
1812C4—22no—
1813C4—22no—
1814C4—41no—
1815C4—42no—
1816C4—42no—
1817C4—42no—
1818C4—42no—
1819C4—44no—
1820C4—42no—
1821C4—44no—
1822C4—44no—
1823C4—42no—
1824C4—41no—
1825C4—42no—
1826C4—41no—
1827C4—42no—
1828C4—44no—
1829C4—41no—
1830C4—42no—
1831C4—42no—
1832C4—41no—
1833C4—41no—
1834C4—42no—
1835C4#351914yes—
1836C4#353614yes—
1837C2—44no—
1838C2—44no—
1839C2—44no—
1840C2—42no—
1841C2—81no—
1842C2—82no—
1843C2C2×#353611yescharacteristic
1844C2C2×#351911yescharacteristic
1845C2#6280511yescharacteristic
1846C2#6291511yescharacteristic
1847C2#6296011yescharacteristic
1848C2#6298511yescharacteristic
1849C2#6301211yescharacteristic
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. #59654C2semidirect
2. #59409C2semidirect
3. #59214C2semidirect
4. #59213C2semidirect
5. #59021C2semidirect
6. #50993C2semidirect
7. #48105C2semidirect
8. #45631C2semidirect
9. #45603C2semidirect
10. #45422C2semidirect
11. #45353C2semidirect
12. #43406C2semidirect
13. #42862C2semidirect
14. #42510C2semidirect
15. #41170C2semidirect
16. #40068C2semidirect
17. #39934C2semidirect
18. #39852C2semidirect
19. #39633C2semidirect
20. #39258C2semidirect
21. #38996C2semidirect
22. #38908C2semidirect
23. #36444C2semidirect
24. #36274C2semidirect
25. #36194C2semidirect
26. #36153C2semidirect
27. #36147C2semidirect
28. #36127C2semidirect
29. #35206C2semidirect
30. #35189C2semidirect
31. #35079C2semidirect
32. #34935C2semidirect
33. #34727C2semidirect
34. #34472C2semidirect
35. C4×#546C2semidirect
36. C2×#553C22semidirect
37. C2×D4×Q8C22semidirect
44. C2×#532C22semidirect
45. C2×#529C22semidirect
50. #2868C22semidirect
52. #2857C22semidirect
53. #2857C22semidirect
54. #2857C22semidirect
55. #2855C22semidirect
56. #2855C22semidirect
57. #2851C22semidirect
58. #2851C22semidirect
59. #2850C22semidirect
61. #2836C22semidirect
62. #2831C22semidirect
63. #2806C22semidirect
64. #2790C22semidirect
65. #2782C22semidirect
66. #2781C22semidirect
68. #2779C22semidirect
69. #2768C22semidirect
71. #2751C22semidirect
72. #2750C22semidirect
74. #2747C22semidirect
75. #2738C22semidirect
76. #2729C22semidirect
77. #2715C22semidirect
79. #2708C22semidirect
81. #2700C22semidirect
84. #2695C22semidirect
86. #2693C22semidirect
87. #2691C22semidirect
89. #2687C22semidirect
90. #2681C22semidirect
91. #2676C22semidirect
98. #2652C22semidirect
99. #2652C22semidirect
100. #2648C22semidirect
101. #2647C22semidirect
102. #2630C22semidirect
103. #2630C22semidirect
104. #2625C22semidirect
105. #2601C22semidirect
106. #2595C22semidirect
107. #2587C22semidirect
108. #2582C22semidirect
109. #2571C22semidirect
110. #2569C22semidirect
111. #2568C22semidirect
112. #2566C22semidirect
115. #2557C22semidirect
116. #2552C22semidirect
117. #2549C22semidirect
119. #2547C22semidirect
120. #2547C22semidirect
125. #2538C22semidirect
131. #2537C22semidirect
133. #2536C22semidirect
135. #2535C22semidirect
137. #2515C22semidirect
138. #2511C22semidirect
139. #2509C22semidirect
140. #2502C22semidirect
142. #2497C22semidirect
143. #2497C22semidirect
144. #2497C22semidirect
145. #2496C22semidirect
146. #2495C22semidirect
148. #2492C22semidirect
149. #2492C22semidirect
150. #2491C22semidirect
151. #2489C22semidirect
155. #2486C22semidirect
156. #2485C22semidirect
157. #2485C22semidirect
158. #2479C22semidirect
159. #2471C22semidirect
160. #2468C22semidirect
161. #2468C22semidirect
163. #2461C22semidirect
164. #2459C22semidirect
168. #2454C22semidirect
170. #2451C22semidirect
171. #2451C22semidirect
173. #2448C22semidirect
175. #2444C22semidirect
176. #2444C22semidirect
177. #2442C22semidirect
178. #2442C22semidirect
181. #2440C22semidirect
182. #2440C22semidirect
185. #2439C22semidirect
186. #2438C22semidirect
189. #2432C22semidirect
191. #2430C22semidirect
192. #2428C22semidirect
193. #2428C22semidirect
196. #2427C22semidirect
197. #2427C22semidirect
199. #2425C22semidirect
202. #2423C22semidirect
203. #2422C22semidirect
204. #2422C22semidirect
205. #2422C22semidirect
206. #2420C22semidirect
207. #2419C22semidirect
211. #2417C22semidirect
212. #2417C22semidirect
214. #2415C22semidirect
215. #2415C22semidirect
216. #2415C22semidirect
218. #2414C22semidirect
221. #2409C22semidirect
232. #2379C22semidirect
233. #2378C22semidirect
234. #2369C22semidirect
237. #2364C22semidirect
241. #2361C22semidirect
243. #2360C22semidirect
246. #2355C22semidirect
249. Q8×C4⋊C4C22semidirect
251. #2349C22semidirect
252. #2349C22semidirect
254. D4×C4⋊C4C22semidirect
255. D4×C4⋊C4C22semidirect
256. D4×C4⋊C4C22semidirect
258. Q8×C22⋊C4C22semidirect
262. #2339C22semidirect
264. #2337C22semidirect
265. #2329C22semidirect
266. #2329C22semidirect
269. #2325C22semidirect
271. #2323C22semidirect
272. #2320C22semidirect
273. #2318C22semidirect
275. C4×C4⋊Q8C22semidirect
276. C4×#127C22semidirect
285. C4×#121C22semidirect
286. C4×#121C22semidirect
287. C4×#121C22semidirect
289. #2295C22semidirect
290. C2×#391C22semidirect
291. #2290C22semidirect
293. #2285C22semidirect
908. #124#41semidirect

Maximal subgroups

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

subgroupindex
#596542
#594092
#592142
#592132
#590212
#509932
#481052
#456312
#456032
#454222
#453532
#434062
#428622
#425102
#411702
#400682
#399342
#398522
#396332
#392582
#389962
#389082
#364442
#362742
#361942
#361532
#361472
#361272
#352062
#351892
#350792
#349352
#347272
#344722
C4×#5462