Finite Group Databasebeta

← #7631128

Subgroups — #7631128

Order 512.

5628 conjugacy classes of subgroups.

The subgroup lattice has 1799 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36638C212yesmaximal, complemented
2#36631C212yesmaximal, complemented
3#36624C211yesmaximal, characteristic, complemented
4#36621C211yesmaximal, characteristic, complemented
5#36599C211yesmaximal, characteristic, complemented
6#36596C211yesmaximal, characteristic, complemented
7#36522C214yesmaximal, complemented
8#36517C212yesmaximal, complemented
9#36481C211yesmaximal, characteristic, complemented
10#36472C211yesmaximal, characteristic, complemented
11#36438C212yesmaximal, complemented
12#36414C212yesmaximal, complemented
13#36379C212yesmaximal, complemented
14#36366C212yesmaximal, complemented
15#36365C214yesmaximal, complemented
16#36315C211yesmaximal, characteristic, complemented
17#36302C211yesmaximal, characteristic, complemented
18#36297C212yesmaximal, complemented
19#36144C212yesmaximal, complemented
20#36143C212yesmaximal, complemented
21#36117C211yesmaximal, characteristic, complemented
22#36116C211yesmaximal, characteristic, complemented
23#35229C212yesmaximal, complemented
24#35202C211yesmaximal, characteristic, complemented
25#35191C211yesmaximal, characteristic, complemented
26#35161C212yesmaximal, complemented
27#35136C212yesmaximal, complemented
28#35135C212yesmaximal, complemented
29#35123C214yesmaximal, complemented
30#35056C214yesmaximal, complemented
31#34305C212yesmaximal, complemented
32#34301C212yesmaximal, complemented
33#34242C211yesmaximal, characteristic, complemented
34#34232C211yesmaximal, characteristic, complemented
35C2×C4×#117C211yesmaximal, characteristic, complemented
36C2×#553C2212yes—
37C2×#553C2212yes—
38C2×#532C2211yescharacteristic
39C2×#529C2211yescharacteristic
40C2×#529C2212yes—
41C2×#529C2212yes—
42C2×#525C2212yes—
43C22×#117C2211yescharacteristic
44C22×#117C2211yescharacteristic
45C23×C42C2211yescharacteristic
46#2866C2214yescomplemented
47#2865C2214yescomplemented
48#2864C2212yescomplemented
49#2863C2212yescomplemented
50#2861C2212yescomplemented
51#2861C2212yescomplemented
52#2861C2212yescomplemented
53#2860C2214yescomplemented
54#2860C2214yescomplemented
55#2860C2212yescomplemented
56#2859C2212yescomplemented
57#2858C2212yescomplemented
58#2857C2211yescharacteristic
59#2857C2211yescharacteristic
60#2857C2212yes—
61#2856C2211yescharacteristic
62#2856C2211yescharacteristic
63#2856C2212yes—
64#2855C2211yescharacteristic
65#2855C2212yes—
66#2854C2211yescharacteristic
67#2854C2212yes—
68#2854C2212yes—
69#2854C2212yes—
70#2854C2214yes—
71#2854C2214yes—
72#2853C2212yes—
73#2853C2214yes—
74#2852C2212yes—
75#2852C2212yes—
76#2852C2214yes—
77#2851C2211yescharacteristic
78#2851C2211yescharacteristic
79#2850C2211yescharacteristic
80#2850C2211yescharacteristic
81#2850C2212yes—
82#2850C2212yes—
83#2849C2212yes—
84#2848C2211yescharacteristic
85#2847C2211yescharacteristic
86#2847C2212yes—
87#2847C2212yes—
88#2667C2214yes—
89#2661C2214yes—
90#2654C2214yescomplemented
91#2651C2214yescomplemented
92#2649C2214yes—
93#2648C2214yes—
94#2606C2214yescomplemented
95#2606C2214yescomplemented
96#2603C2214yescomplemented
97#2603C2214yescomplemented
98#2601C2214yes—
99#2598C2214yes—
100#2585C2214yescomplemented
101#2569C2214yes—
102#2554C2214yes—
103#2554C2214yescomplemented
104#2553C2214yes—
105#2552C2211yescharacteristic, complemented
106#2552C2211yescharacteristic, complemented
107#2552C2211yescharacteristic, complemented
108#2552C2211yescharacteristic, complemented
109#2548C2211yescharacteristic, complemented
110#2547C2211yescharacteristic, complemented
111#2546C2211yescharacteristic, complemented
112#2543C2214yes—
113#2541C2211yescharacteristic, complemented
114#2539C2214yes—
115#2534C2214yes—
116#2531C2214yes—
117#2531C2214yescomplemented
118#2531C2214yescomplemented
119#2530C2214yescomplemented
120#2530C2214yescomplemented
121#2529C2214yescomplemented
122#2529C2214yescomplemented
123#2526C2214yes—
124#2526C2214yescomplemented
125#2526C2214yescomplemented
126#2522C2214yes—
127#2522C2214yescomplemented
128#2516C2214yes—
129#2516C2214yescomplemented
130#2513C2212yescomplemented
131#2512C2212yescomplemented
132#2512C2212yescomplemented
133#2511C2212yescomplemented
134#2509C2212yescomplemented
135#2507C2212yescomplemented
136#2501C2212yes—
137#2500C2212yes—
138#2497C2212yescomplemented
139#2496C2212yescomplemented
140#2490C2212yes—
141#2490C2212yescomplemented
142#2490C2212yescomplemented
143#2489C2212yes—
144#2486C2212yes—
145#2485C2212yes—
146#2479C2214yes—
147#2479C2214yes—
148#2479C2214yescomplemented
149#2478C2214yescomplemented
150#2476C2214yes—
151#2476C2214yes—
152#2471C2214yes—
153#2471C2214yes—
154#2471C2214yes—
155#2471C2214yes—
156#2470C2214yes—
157#2470C2214yes—
158#2467C2214yes—
159#2466C2214yes—
160#2464C2214yes—
161#2457C2214yes—
162#2454C2212yescomplemented
163#2453C2212yescomplemented
164#2448C2212yescomplemented
165#2447C2212yescomplemented
166#2446C2212yescomplemented
167#2445C2212yescomplemented
168#2442C2212yes—
169#2441C2212yes—
170#2441C2212yes—
171#2441C2212yes—
172#2441C2212yes—
173#2441C2212yes—
174#2432C2212yes—
175#2431C2212yes—
176#2429C2212yes—
177#2428C2212yes—
178#2427C2212yes—
179#2426C2212yes—
180#2425C2214yes—
181#2425C2214yes—
182#2424C2214yes—
183#2423C2212yes—
184#2422C2212yes—
185#2419C2214yes—
186#2419C2214yes—
187#2418C2214yes—
188#2416C2212yes—
189#2414C2212yes—
190#2414C2212yes—
191#2414C2212yes—
192#2373C2214yescomplemented
193#2373C2214yescomplemented
194#2373C2214yescomplemented
195#2370C2212yescomplemented
196#2370C2212yescomplemented
197#2366C2211yescharacteristic, complemented
198#2366C2211yescharacteristic, complemented
199#2365C2211yescharacteristic, complemented
200#2365C2211yescharacteristic, complemented
201#2364C2214yes—
202#2363C2214yes—
203#2363C2212yes—
204#2363C2212yes—
205#2363C2212yes—
206#2363C2212yes—
207#2363C2212yescomplemented
208#2362C2212yes—
209#2361C2212yes—
210#2361C2212yescomplemented
211#2359C2214yes—
212#2359C2214yescomplemented
213#2355C2211yescharacteristic, complemented
214#2354C2212yes—
215#2354C2212yes—
216#2354C2212yescomplemented
217#2354C2212yescomplemented
218#2354C2211yescharacteristic, complemented
219#2353C2214yescomplemented
220#2353C2214yescomplemented
221#2352C2212yes—
222Q8×C4⋊C4C2211yescharacteristic, complemented
223#2349C2214yes—
224D4×C4⋊C4C2212yes—
225D4×C4⋊C4C2211yescharacteristic, complemented
226#2347C2212yes—
227#2346C2212yescomplemented
228#2345C2212yes—
229#2344C2212yescomplemented
230#2341C2212yes—
231#2339C2212yes—
232#2335C2214yes—
233#2335C2214yes—
234#2335C2214yescomplemented
235#2334C2214yescomplemented
236#2333C2214yes—
237#2333C2214yes—
238#2330C2212yescomplemented
239#2330C2212yescomplemented
240#2324C2212yescomplemented
241#2324C2212yescomplemented
242#2319C2212yescomplemented
243#2314C2212yescomplemented
244C4×C4⋊Q8C2212yescomplemented
245C4×#127C2212yescomplemented
246C4×#125C2212yescomplemented
247C4×#126C2214yescomplemented
248C4×#124C2212yescomplemented
249C4×#124C2212yescomplemented
250C4×#124C2212yescomplemented
251C4×C22⋊Q8C2211yescharacteristic
252C4×C22⋊Q8C2211yescharacteristic
253C4×C22⋊Q8C2212yes—
254C4×#123C2212yes—
255C4×#123C2214yes—
256C4×#121C2212yes—
257C4×#121C2214yes—
258C4×#121C2212yes—
259C4×#121C2211yescharacteristic
260C4×#121C2211yescharacteristic
261C4×#121C2212yes—
262C4×#121C2212yes—
263C4×#121C2214yes—
264C4×#121C2212yes—
265C4×#120C2212yes—
266#2298C2214yescomplemented
267#2297C2212yes—
268#2295C2212yescomplemented
269#2293C2214yescomplemented
270#2293C2212yescomplemented
271#2293C2214yescomplemented
272#2290C2212yes—
273#2290C2214yes—
274#2290C2212yes—
275#2285C2211yescharacteristic
276#2283C2211yescharacteristic
277#2275C2212yescomplemented
278#2274C2212yescomplemented
279C4×#117C2212yes—
280C4×#117C2212yes—
281C4×#117C2212yes—
282C4×#117C2211yescharacteristic
283C4×#117C2212yes—
284C4×#117C2211yescharacteristic
285C4×#117C2211yescharacteristic
286C4×#117C2211yescharacteristic
287C4×#117C2211yescharacteristic
288C4×#117C2211yescharacteristic
289C4×#117C2211yescharacteristic
290C4×#117C2211yescharacteristic
291C2×C4×C4⋊C4C2211yescharacteristic
292C2×C4×C4⋊C4C2211yescharacteristic
293C2×C4×C4⋊C4C2211yescharacteristic
294C2×C4×C4⋊C4C2211yescharacteristic
295C2×C4×C22⋊C4C2212yes—
296C2×C4×C22⋊C4C2212yes—
297C2×#376C2212yes—
298C2×C43C2212yes—
299C22×#41C2312yes—
300C24×C4C2311yescharacteristic
301C24×C4C2311yescharacteristic
302C24×C4C2311yescharacteristic
303#553—216no—
304#553—216no—
305#532—28no—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×#127C2311yescharacteristic
309C2×#127C2312yes—
310#529—28no—
311#529—48no—
312#529—48no—
313C2×#126C2314yes—
314C2×#126C2314yes—
315C2×#126C2312yes—
316C2×#126C2314yes—
317C2×#126C2314yes—
318C2×#125C2311yescharacteristic
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#125C2312yes—
323C2×#124C2311yescharacteristic
324C2×#124C2312yes—
325C2×#124C2312yes—
326C2×#124C2312yes—
327#525—48no—
328C2×#123C2312yes—
329C2×#123C2314yes—
330C2×#123C2314yes—
331C2×#123C2312yes—
332C2×#123C2314yes—
333C2×#123C2314yes—
334C2×#123C2314yes—
335C2×#123C2314yes—
336C2×C22⋊Q8C2311yescharacteristic
337C2×C22⋊Q8C2311yescharacteristic
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2311yescharacteristic
340C2×C22⋊Q8C2312yes—
341C2×#121C2312yes—
342C2×#121C2312yes—
343C2×#121C2312yes—
344C2×#121C2314yes—
345C2×#121C2311yescharacteristic
346C2×#121C2312yes—
347C2×#121C2311yescharacteristic
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2314yes—
352C2×#121C2311yescharacteristic
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2314yes—
357C2×#120C2314yes—
358C2×#120C2312yes—
359C2×C4×Q8C2311yescharacteristic
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2312yes—
363C2×C4×D4C2314yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2314yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2314yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2314yes—
378C2×C4×D4C2314yes—
379C2×C4×D4C2314yes—
380C2×C4×D4C2314yes—
381C2×#117—28no—
382C2×#117—28no—
383C2×#117C2312yes—
384C2×#117C2312yes—
385C2×#117C2312yes—
386C2×#117C2311yescharacteristic
387C2×#117C2311yescharacteristic
388C2×#117C2311yescharacteristic
389C2×#117C2311yescharacteristic
390C2×#117C2311yescharacteristic
391C2×#117C2311yescharacteristic
392C2×#117C2312yes—
393C2×#117C2312yes—
394C2×#117C2312yes—
395C2×#117C2311yescharacteristic
396C2×#117C2314yes—
397C2×#117C2314yes—
398C2×#117C2314yes—
399C2×#117C2312yes—
400C2×#117C2311yescharacteristic
401C22×C4⋊C4C2312yes—
402C22×C4⋊C4C2311yescharacteristic
403C22×C4⋊C4C2311yescharacteristic
404C22×C4⋊C4C2311yescharacteristic
405C22×C4⋊C4C2311yescharacteristic
406C22×C22⋊C4C2312yes—
407C22×C22⋊C4C2312yes—
408C22×C42—28no—
409C22×C42C2311yescharacteristic
410C22×C42C2311yescharacteristic
411C22×C42C2311yescharacteristic
412C22×C42C2311yescharacteristic
413C22×C42C2312yes—
414C22×C42C2311yescharacteristic
415C22×C42C2311yescharacteristic
416C22×C42C2312yes—
417C22×C42C2311yescharacteristic
418C22×C42C2312yes—
419C22×C42C2311yescharacteristic
420C22×C42C2311yescharacteristic
421C22×C42C2311yescharacteristic
422C22×C42C2311yescharacteristic
423C22×C42C2312yes—
424C22×C42C2312yes—
425C22×C42C2312yes—
426C22×C42C2311yescharacteristic
427#400C2314yes—
428#400C2314yes—
429#400C2314yes—
430#400C2314yes—
431#400C2314yes—
432#399C2314yes—
433#399C2314yes—
434#399C2314yes—
435#399C2314yes—
436#399C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#396C2314yes—
456#396C2314yes—
457#396C2314yes—
458#396C2314yes—
459#396C2314yes—
460#396C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#392C2314yes—
472#392C2314yes—
473#392C2314yes—
474#392C2314yes—
475#391C2311yescharacteristic
476#391C2312yes—
477#391C2311yescharacteristic
478#391C2312yes—
479#391C2312yes—
480#391C2312yes—
481#391C2312yes—
482#391C2312yes—
483#391C2312yes—
484#390C2311yescharacteristic
485#390C2312yes—
486#390C2314yes—
487#390C2314yes—
488#390C2312yes—
489#390C2312yes—
490#390C2314yes—
491#390C2314yes—
492#390C2312yes—
493#390C2312yes—
494#390C2314yes—
495#390C2314yes—
496#390C2314yes—
497#390C2314yes—
498#390C2314yes—
499#390C2311yescharacteristic
500#390C2312yes—
501#390C2312yes—
502#390C2312yes—
503#390C2312yes—
504#390C2312yes—
505#390C2312yes—
506#390C2312yes—
507#390C2314yes—
508#390C2312yes—
509#390C2314yes—
510#390C2314yes—
511#390C2312yes—
512#390C2314yes—
513#390C2312yes—
514#389C2312yes—
515#389C2312yes—
516#389C2314yes—
517#389C2314yes—
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2314yes—
524#389C2314yes—
525#389C2314yes—
526#389C2314yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2314yes—
532#389C2314yes—
533#389C2314yes—
534#389C2314yes—
535#389C2314yes—
536#389C2311yescharacteristic
537#389C2311yescharacteristic
538#389C2311yescharacteristic
539#389C2311yescharacteristic
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2314yes—
544#389C2312yes—
545#389C2312yes—
546#389C2314yes—
547#389C2312yes—
548#389C2312yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2312yes—
568#388C2314yes—
569#388C2314yes—
570#388C2312yes—
571#388C2312yes—
572#388C2312yes—
573#388C2314yes—
574#388C2314yes—
575#388C2312yes—
576#388C2312yes—
577#388C2314yes—
578#388C2312yes—
579#388C2312yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#387C2312yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2312yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2312yes—
618#387C2314yes—
619#387C2314yes—
620#387C2312yes—
621#387C2312yes—
622#387C2312yes—
623#387C2312yes—
624#387C2312yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2312yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2312yes—
649#386C2312yes—
650#386C2312yes—
651#386C2314yes—
652#386C2314yes—
653#386C2312yes—
654#386C2312yes—
655#386C2312yes—
656#386C2312yes—
657#386C2312yes—
658#386C2314yes—
659#386C2314yes—
660#386C2312yes—
661#385C2312yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2312yes—
668#385C2314yes—
669#385C2314yes—
670#385C2312yes—
671#385C2312yes—
672#385C2312yes—
673#385C2312yes—
674#385C2312yes—
675#385C2312yes—
676#385C2312yes—
677#385C2314yes—
678#385C2312yes—
679#384C2312yes—
680#384C2312yes—
681#384C2312yes—
682#384C2312yes—
683#384C2312yes—
684#384C2311yescharacteristic
685#384C2311yescharacteristic
686#383C2314yes—
687#383C2312yes—
688#382C2312yes—
689#382C2312yes—
690#382C2314yes—
691#382C2311yescharacteristic
692#382C2311yescharacteristic
693#381C2314yes—
694#381C2312yes—
695#381C2314yes—
696#381C2312yes—
697#381C2314yes—
698#380C2312yes—
699#380C2314yes—
700#380C2314yes—
701#380C2312yes—
702#380C2312yes—
703#380C2314yes—
704#380C2312yes—
705#380C2312yes—
706#380C2312yes—
707#380C2314yes—
708#380C2314yes—
709#380C2311yescharacteristic
710#380C2311yescharacteristic
711#380C2311yescharacteristic
712#380C2312yes—
713#380C2312yes—
714#380C2312yes—
715#380C2312yes—
716#380C2311yescharacteristic
717#380C2311yescharacteristic
718#380C2311yescharacteristic
719#379C2312yes—
720C4×C4⋊C4C2314yes—
721C4×C4⋊C4C2314yes—
722C4×C4⋊C4C2314yes—
723C4×C4⋊C4C2314yes—
724C4×C4⋊C4C2312yes—
725C4×C4⋊C4C2312yes—
726C4×C4⋊C4C2314yes—
727C4×C4⋊C4C2314yes—
728C4×C4⋊C4C2311yescharacteristic
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2311yescharacteristic
731C4×C4⋊C4C2311yescharacteristic
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2311yescharacteristic
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2311yescharacteristic
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2314yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C22⋊C4C2314yes—
764C4×C22⋊C4C2314yes—
765C4×C22⋊C4C2314yes—
766C4×C22⋊C4C2314yes—
767C4×C22⋊C4C2312yes—
768C4×C22⋊C4C2312yes—
769C4×C22⋊C4C2314yes—
770C4×C22⋊C4C2314yes—
771C4×C22⋊C4C2312yes—
772C4×C22⋊C4C2314yes—
773C4×C22⋊C4C2312yes—
774C4×C22⋊C4C2312yes—
775C4×C22⋊C4C2312yes—
776C4×C22⋊C4C2312yes—
777C4×C22⋊C4C2314yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797#376C2312yes—
798#376C2314yes—
799#376C2312yes—
800#376C2312yes—
801#376C2312yes—
802#376C2312yes—
803#376C2312yes—
804#376C2312yes—
805#376C2312yes—
806#376C2312yes—
807C2×#95C2312yes—
808C2×#95C2314yes—
809C2×#95C2312yes—
810C2×#95C2312yes—
811C2×#95C2312yes—
812C43C2312yes—
813C43C2312yes—
814C43C2312yes—
815C43C2312yes—
816C43C2312yes—
817C43C2312yes—
818C43C2312yes—
819C43C2312yes—
820C25C2411yescharacteristic
821C2×#41—28no—
822C2×#41—44no—
823C2×#41—44no—
824C22×Q8C2411yescharacteristic
825C22×Q8C2412yes—
826C22×D4C2414yes—
827C22×D4C2412yes—
828C22×D4C2412yes—
829C22×D4C2411yescharacteristic
830C22×D4C2412yes—
831C22×D4C2414yes—
832C22×D4C2412yes—
833C22×D4C2412yes—
834C22×D4C2412yes—
835C22×D4C2414yes—
836C22×D4C2414yes—
837C22×D4C2414yes—
838C23×C4—24no—
839C23×C4—24no—
840C23×C4—24no—
841C23×C4—24no—
842C23×C4—24no—
843C23×C4—24no—
844C23×C4—42no—
845C23×C4—42no—
846C23×C4—42no—
847C23×C4C2412yes—
848C23×C4C2412yes—
849C23×C4C2411yescharacteristic
850C23×C4C2411yescharacteristic
851C23×C4C2411yescharacteristic
852C23×C4C2411yescharacteristic
853C23×C4C2411yescharacteristic
854C23×C4C2412yes—
855C23×C4C2412yes—
856C23×C4C2411yescharacteristic
857C23×C4C2411yescharacteristic
858C23×C4C2411yescharacteristic
859C23×C4C2411yescharacteristic
860C23×C4C2411yescharacteristic
861C23×C4C2411yescharacteristic
862C23×C4C2411yescharacteristic
863C23×C4C2411yescharacteristic
864C23×C4C2411yescharacteristic
865C23×C4C2411yescharacteristic
866C23×C4C2411yescharacteristic
867C23×C4C2414yes—
868C23×C4C2414yes—
869C23×C4C2414yes—
870C23×C4C2414yes—
871C23×C4C2411yescharacteristic
872C23×C4C2412yes—
873C23×C4C2411yescharacteristic
874C4⋊Q8—24no—
875C4⋊Q8—44no—
876#127—24no—
877#127—44no—
878#126—216no—
879#126—28no—
880#126—216no—
881#126—48no—
882#126—48no—
883#125—28no—
884#125—28no—
885#125—24no—
886#125—44no—
887#125—44no—
888#124—24no—
889#124—28no—
890#124—44no—
891#124—44no—
892#123—28no—
893#123—216no—
894#123—216no—
895#123—44no—
896#123—48no—
897#123—48no—
898#123—48no—
899#123—48no—
900C22⋊Q8—24no—
901C22⋊Q8—28no—
902C22⋊Q8—24no—
903C22⋊Q8—42no—
904C22⋊Q8—44no—
905#121—24no—
906#121—28no—
907#121—28no—
908#121—216no—
909#121—28no—
910#121—28no—
911#121—28no—
912#121—24no—
913#121—28no—
914#121—28no—
915#121—216no—
916#121—44no—
917#121—42no—
918#121—44no—
919#121—48no—
920#121—44no—
921#120—44no—
922#120—48no—
923C4×Q8—24no—
924C4×Q8—44no—
925C4×Q8—44no—
926C4×Q8—44no—
927C4×D4—28no—
928C4×D4—216no—
929C4×D4—28no—
930C4×D4—28no—
931C4×D4—28no—
932C4×D4—28no—
933C4×D4—24no—
934C4×D4—28no—
935C4×D4—28no—
936C4×D4—216no—
937C4×D4—48no—
938C4×D4—44no—
939C4×D4—44no—
940C4×D4—44no—
941C4×D4—48no—
942C4×D4—48no—
943C4×D4—48no—
944C4×D4—48no—
945#117—24no—
946#117—24no—
947#117—24no—
948#117—24no—
949#117—24no—
950#117—24no—
951#117—24no—
952#117—28no—
953#117—28no—
954#117—28no—
955#117—28no—
956#117—28no—
957#117—28no—
958#117—48no—
959#117—48no—
960#117—48no—
961#117—44no—
962#117#4118yescomplemented
963C2×C4⋊C4—24no—
964C2×C4⋊C4—24no—
965C2×C4⋊C4—24no—
966C2×C4⋊C4—28no—
967C2×C4⋊C4#4118yescomplemented
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C4⋊C4C2411yescharacteristic
1023C2×C4⋊C4C2411yescharacteristic
1024C2×C4⋊C4C2412yes—
1025C2×C22⋊C4—28no—
1026C2×C22⋊C4—28no—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C42—28no—
1083C2×C42—24no—
1084C2×C42—24no—
1085C2×C42—24no—
1086C2×C42—28no—
1087C2×C42—28no—
1088C2×C42—24no—
1089C2×C42—24no—
1090C2×C42—24no—
1091C2×C42—24no—
1092C2×C42—24no—
1093C2×C42—24no—
1094C2×C42—24no—
1095C2×C42—24no—
1096C2×C42—44no—
1097C2×C42—44no—
1098C2×C42—44no—
1099C2×C42#4118yes—
1100C2×C42C2412yes—
1101C2×C42C2412yes—
1102C2×C42C2412yes—
1103C2×C42C2412yes—
1104C2×C42C2412yes—
1105C2×C42C2412yes—
1106C2×C42C2412yes—
1107C2×C42C2412yes—
1108C2×C42C2412yes—
1109C2×C42C2412yes—
1110C2×C42C2414yes—
1111C2×C42C2412yes—
1112C2×C42C2412yes—
1113C2×C42C2412yes—
1114C2×C42C2412yes—
1115C2×C42C2412yes—
1116C2×C42C2412yes—
1117C2×C42C2412yes—
1118C2×C42C2412yes—
1119C2×C42C2411yescharacteristic
1120C2×C42C2411yescharacteristic
1121C2×C42C2411yescharacteristic
1122C2×C42C2411yescharacteristic
1123C2×C42C2411yescharacteristic
1124C2×C42C2411yescharacteristic
1125C2×C42C2411yescharacteristic
1126C2×C42C2411yescharacteristic
1127C2×C42C2411yescharacteristic
1128C2×C42C2411yescharacteristic
1129C2×C42C2411yescharacteristic
1130C2×C42C2411yescharacteristic
1131C2×C42C2414yes—
1132C2×C42C2414yes—
1133C2×C42C2414yes—
1134C2×C42C2414yes—
1135C2×C42C2414yes—
1136C2×C42C2412yes—
1137C2×C42C2412yes—
1138C2×C42C2412yes—
1139C2×C42C2412yes—
1140C2×C42C2412yes—
1141C2×C42C2412yes—
1142C2×C42C2412yes—
1143C2×C42C2412yes—
1144C2×C42C2412yes—
1145C2×C42C2411yescharacteristic
1146C2×C42C2411yescharacteristic
1147C2×C42C2411yescharacteristic
1148C2×C42C2411yescharacteristic
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2412yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2412yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2412yes—
1193#95C2414yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2414yes—
1201#95C2414yes—
1202#95C2412yes—
1203#95C2414yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2414yes—
1208#95C2414yes—
1209C24—22no—
1210C24—22no—
1211C24—22no—
1212C24—22no—
1213C24—22no—
1214C24—41no—
1215C24—41no—
1216C24C2512yes—
1217C24C2514yes—
1218C24C2511yescharacteristic
1219C24C2511yescharacteristic
1220C24C2511yescharacteristic
1221#41—816no—
1222C2×Q8—22no—
1223C2×Q8—24no—
1224C2×Q8—22no—
1225C2×Q8—24no—
1226C2×Q8—24no—
1227C2×Q8—22no—
1228C2×D4—28no—
1229C2×D4—24no—
1230C2×D4—28no—
1231C2×D4—24no—
1232C2×D4—24no—
1233C2×D4—28no—
1234C2×D4—24no—
1235C2×D4—24no—
1236C2×D4—28no—
1237C2×D4—28no—
1238C2×D4—24no—
1239C2×D4—24no—
1240C2×D4—22no—
1241C2×D4—24no—
1242C2×D4—24no—
1243C2×D4—28no—
1244C2×D4—24no—
1245C2×D4—28no—
1246C2×D4—22no—
1247C2×D4—24no—
1248C2×D4—24no—
1249C2×D4—22no—
1250C2×D4—44no—
1251C2×D4—44no—
1252C2×D4—44no—
1253C2×D4—42no—
1254C2×D4—42no—
1255C2×D4—44no—
1256C2×D4—42no—
1257C2×D4—42no—
1258C2×D4—42no—
1259C2×D4—44no—
1260C2×D4—42no—
1261C2×D4—44no—
1262C2×D4—44no—
1263C2×D4—44no—
1264C22×C4—232no—
1265C22×C4—22no—
1266C22×C4—22no—
1267C22×C4—22no—
1268C22×C4—22no—
1269C22×C4—22no—
1270C22×C4—22no—
1271C22×C4—22no—
1272C22×C4—22no—
1273C22×C4—22no—
1274C22×C4—22no—
1275C22×C4—22no—
1276C22×C4—22no—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—22no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—22no—
1285C22×C4—22no—
1286C22×C4—22no—
1287C22×C4—22no—
1288C22×C4—22no—
1289C22×C4—24no—
1290C22×C4—24no—
1291C22×C4—24no—
1292C22×C4—22no—
1293C22×C4—24no—
1294C22×C4—24no—
1295C22×C4—22no—
1296C22×C4—22no—
1297C22×C4—22no—
1298C22×C4—22no—
1299C22×C4—22no—
1300C22×C4—22no—
1301C22×C4—22no—
1302C22×C4—24no—
1303C22×C4—24no—
1304C22×C4—24no—
1305C22×C4—24no—
1306C22×C4—24no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—22no—
1311C22×C4—22no—
1312C22×C4—22no—
1313C22×C4—28no—
1314C22×C4—28no—
1315C22×C4—28no—
1316C22×C4—28no—
1317C22×C4—42no—
1318C22×C4—42no—
1319C22×C4—42no—
1320C22×C4—42no—
1321C22×C4—41no—
1322C22×C4—41no—
1323C22×C4—41no—
1324C22×C4—41no—
1325C22×C4—41no—
1326C22×C4—41no—
1327C22×C4—41no—
1328C22×C4—41no—
1329C22×C4—41no—
1330C22×C4—41no—
1331C22×C4—416no—
1332C22×C4—44no—
1333C22×C4—44no—
1334C22×C4—44no—
1335C22×C4—44no—
1336C22×C4—44no—
1337C22×C4—44no—
1338C22×C4—44no—
1339C22×C4—44no—
1340C22×C4—416no—
1341C22×C4C2×#4114yes—
1342C22×C4C2×#4114yes—
1343C22×C4C2×#4114yes—
1344C22×C4C2×#4114yes—
1345C22×C4C2×#4114yes—
1346C22×C4C2×#4118yes—
1347C22×C4H(5,𝔽2)14yes—
1348C22×C4C2511yescharacteristic
1349C22×C4C2512yes—
1350C22×C4C2512yes—
1351C22×C4C2511yescharacteristic
1352C22×C4C2512yes—
1353C22×C4C2512yes—
1354C22×C4C2512yes—
1355C22×C4C2514yes—
1356C22×C4C2514yes—
1357C22×C4C2512yes—
1358C22×C4C2512yes—
1359C22×C4C2512yes—
1360C22×C4C2512yes—
1361C22×C4C2512yes—
1362C22×C4C2514yes—
1363C22×C4C2512yes—
1364C22×C4C2511yescharacteristic
1365C22×C4C2511yescharacteristic
1366C22×C4C2511yescharacteristic
1367C22×C4C2511yescharacteristic
1368C22×C4C2512yes—
1369C22×C4C2511yescharacteristic
1370C22×C4C2512yes—
1371C22×C4C2512yes—
1372C22×C4C2512yes—
1373C22×C4C2511yescharacteristic
1374C22×C4C2511yescharacteristic
1375C22×C4C2511yescharacteristic
1376C22×C4C2511yescharacteristic
1377C22×C4C2511yescharacteristic
1378C4⋊C4—24no—
1379C4⋊C4—24no—
1380C4⋊C4—24no—
1381C4⋊C4—22no—
1382C4⋊C4—22no—
1383C4⋊C4—22no—
1384C4⋊C4—22no—
1385C4⋊C4—24no—
1386C4⋊C4—28no—
1387C4⋊C4—24no—
1388C4⋊C4—24no—
1389C4⋊C4—24no—
1390C4⋊C4—24no—
1391C4⋊C4—24no—
1392C4⋊C4—22no—
1393C4⋊C4—28no—
1394C4⋊C4—28no—
1395C4⋊C4—24no—
1396C4⋊C4—24no—
1397C4⋊C4—24no—
1398C4⋊C4—22no—
1399C4⋊C4—24no—
1400C4⋊C4—28no—
1401C4⋊C4—28no—
1402C4⋊C4—24no—
1403C4⋊C4—24no—
1404C4⋊C4—28no—
1405C4⋊C4—24no—
1406C4⋊C4—22no—
1407C4⋊C4—22no—
1408C4⋊C4—24no—
1409C4⋊C4—22no—
1410C4⋊C4—22no—
1411C4⋊C4—44no—
1412C4⋊C4—44no—
1413C4⋊C4—44no—
1414C4⋊C4—44no—
1415C4⋊C4—44no—
1416C4⋊C4—44no—
1417C4⋊C4—44no—
1418C4⋊C4—44no—
1419C4⋊C4—44no—
1420C4⋊C4—44no—
1421C4⋊C4—44no—
1422C4⋊C4—42no—
1423C4⋊C4—42no—
1424C4⋊C4—42no—
1425C4⋊C4—42no—
1426C4⋊C4—44no—
1427C4⋊C4—44no—
1428C4⋊C4—44no—
1429C4⋊C4—44no—
1430C4⋊C4C2×#4114yes—
1431C4⋊C4C2×#4114yes—
1432C4⋊C4C2×#4114yes—
1433C4⋊C4C2×#4114yes—
1434C4⋊C4C2×#4118yes—
1435C22⋊C4—24no—
1436C22⋊C4—24no—
1437C22⋊C4—24no—
1438C22⋊C4—24no—
1439C22⋊C4—28no—
1440C22⋊C4—24no—
1441C22⋊C4—24no—
1442C22⋊C4—24no—
1443C22⋊C4—24no—
1444C22⋊C4—24no—
1445C22⋊C4—24no—
1446C22⋊C4—24no—
1447C22⋊C4—24no—
1448C22⋊C4—28no—
1449C22⋊C4—24no—
1450C22⋊C4—24no—
1451C22⋊C4—24no—
1452C22⋊C4—28no—
1453C22⋊C4—28no—
1454C22⋊C4—28no—
1455C22⋊C4—28no—
1456C22⋊C4—28no—
1457C22⋊C4—28no—
1458C22⋊C4—24no—
1459C22⋊C4—24no—
1460C22⋊C4—24no—
1461C22⋊C4—28no—
1462C22⋊C4—28no—
1463C22⋊C4—24no—
1464C22⋊C4—28no—
1465C22⋊C4—28no—
1466C22⋊C4—24no—
1467C22⋊C4—44no—
1468C22⋊C4—44no—
1469C22⋊C4—44no—
1470C22⋊C4—44no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4—44no—
1474C22⋊C4—44no—
1475C22⋊C4—44no—
1476C22⋊C4—44no—
1477C22⋊C4—44no—
1478C22⋊C4—42no—
1479C22⋊C4—42no—
1480C22⋊C4—44no—
1481C22⋊C4—44no—
1482C22⋊C4—42no—
1483C22⋊C4—44no—
1484C22⋊C4—42no—
1485C22⋊C4—44no—
1486C22⋊C4—44no—
1487C22⋊C4—42no—
1488C22⋊C4—42no—
1489C22⋊C4C2×#4118yes—
1490C42—22no—
1491C42—22no—
1492C42—22no—
1493C42—22no—
1494C42—22no—
1495C42—22no—
1496C42—22no—
1497C42—22no—
1498C42—22no—
1499C42—22no—
1500C42—22no—
1501C42—22no—
1502C42—24no—
1503C42—24no—
1504C42—24no—
1505C42—24no—
1506C42—24no—
1507C42—24no—
1508C42—24no—
1509C42—24no—
1510C42—28no—
1511C42—24no—
1512C42—24no—
1513C42—24no—
1514C42—24no—
1515C42—24no—
1516C42—24no—
1517C42—24no—
1518C42—24no—
1519C42—24no—
1520C42—24no—
1521C42—42no—
1522C42—42no—
1523C42—42no—
1524C42—42no—
1525C42—42no—
1526C42—42no—
1527C42—42no—
1528C42—42no—
1529C42—44no—
1530C42—44no—
1531C42—44no—
1532C42—44no—
1533C42—44no—
1534C42C2×#4114yes—
1535C42C2×#4114yes—
1536C42C2×#4114yes—
1537C42C2×#4114yes—
1538C42C2×#4118yes—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—28no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—22no—
1557C23—24no—
1558C23—22no—
1559C23—24no—
1560C23—24no—
1561C23—22no—
1562C23—22no—
1563C23—24no—
1564C23—24no—
1565C23—22no—
1566C23—24no—
1567C23—22no—
1568C23—24no—
1569C23—22no—
1570C23—44no—
1571C23—44no—
1572C23—44no—
1573C23—44no—
1574C23—44no—
1575C23—44no—
1576C23C22×#4112yes—
1577C23C22×#4112yes—
1578C23C22×#4112yes—
1579C23C2×H(5,𝔽2)12yes—
1580C23#58512yes—
1581C23C2611yescharacteristic
1582Q8—44no—
1583Q8—48no—
1584D4—416no—
1585D4—48no—
1586D4—48no—
1587D4—44no—
1588D4—48no—
1589D4—88no—
1590D4—84no—
1591D4—88no—
1592D4—88no—
1593D4—84no—
1594D4—84no—
1595D4—88no—
1596C2×C4—28no—
1597C2×C4—28no—
1598C2×C4—28no—
1599C2×C4—28no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—22no—
1609C2×C4—21no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—22no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—28no—
1625C2×C4—28no—
1626C2×C4—28no—
1627C2×C4—28no—
1628C2×C4—28no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—24no—
1638C2×C4—22no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—24no—
1646C2×C4—24no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—24no—
1652C2×C4—22no—
1653C2×C4—24no—
1654C2×C4—24no—
1655C2×C4—22no—
1656C2×C4—21no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—24no—
1665C2×C4—24no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—21no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—24no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—22no—
1677C2×C4—44no—
1678C2×C4—48no—
1679C2×C4—44no—
1680C2×C4—44no—
1681C2×C4—48no—
1682C2×C4—48no—
1683C2×C4—44no—
1684C2×C4—44no—
1685C2×C4—44no—
1686C2×C4—44no—
1687C2×C4—44no—
1688C2×C4—48no—
1689C2×C4—48no—
1690C2×C4—44no—
1691C2×C4—88no—
1692C2×C4—88no—
1693C2×C4—88no—
1694C2×C4—88no—
1695C2×C4C22×#4114yes—
1696C2×C4C22×#4112yes—
1697C2×C4C22×#4112yes—
1698C2×C4C22×#4112yes—
1699C2×C4C22×#4112yes—
1700C2×C4C22×#4112yes—
1701C2×C4C22×#4114yes—
1702C2×C4C22×#4114yes—
1703C2×C4C22×#4114yes—
1704C2×C4C22×#4112yes—
1705C2×C4C22×#4112yes—
1706C2×C4C22×#4112yes—
1707C2×C4C22×#4112yes—
1708C2×C4C22×#4112yes—
1709C2×C4C2×H(5,𝔽2)12yes—
1710C2×C4C2×H(5,𝔽2)12yes—
1711C2×C4#58512yes—
1712C2×C4#58512yes—
1713C22—22no—
1714C22—22no—
1715C22—22no—
1716C22—22no—
1717C22—22no—
1718C22—22no—
1719C22—22no—
1720C22—22no—
1721C22—22no—
1722C22—22no—
1723C22—22no—
1724C22—22no—
1725C22—416no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—44no—
1735C22—42no—
1736C22—42no—
1737C22—44no—
1738C22—44no—
1739C22—42no—
1740C22—42no—
1741C22—44no—
1742C22—44no—
1743C22—42no—
1744C22—42no—
1745C22—44no—
1746C22—42no—
1747C22—44no—
1748C22#351714yes—
1749C22C23×#4111yescharacteristic
1750C22C23×#4111yescharacteristic
1751C22C23×#4111yescharacteristic
1752C22C22×H(5,𝔽2)11yescharacteristic
1753C22C2×#58511yescharacteristic
1754C22C2×#58511yescharacteristic
1755C22C2×#58511yescharacteristic
1756C4—24no—
1757C4—24no—
1758C4—22no—
1759C4—22no—
1760C4—24no—
1761C4—22no—
1762C4—22no—
1763C4—22no—
1764C4—24no—
1765C4—22no—
1766C4—22no—
1767C4—22no—
1768C4—42no—
1769C4—42no—
1770C4—42no—
1771C4—44no—
1772C4—42no—
1773C4—41no—
1774C4—44no—
1775C4—42no—
1776C4—42no—
1777C4—42no—
1778C4—44no—
1779C4—41no—
1780C4—42no—
1781C4—42no—
1782C4—42no—
1783C4—42no—
1784C4#344414yes—
1785C4#349414yes—
1786C2—24no—
1787C2—42no—
1788C2—42no—
1789C2—84no—
1790C2—82no—
1791C2C2×#344411yescharacteristic
1792C2#6278111yescharacteristic
1793C2C2×#351711yescharacteristic
1794C2C2×#349411yescharacteristic
1795C2#6280011yescharacteristic
1796C2#6281411yescharacteristic
1797C2#6281611yescharacteristic
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. #36638C2semidirect
2. #36631C2semidirect
3. #36624C2semidirect
4. #36621C2semidirect
5. #36599C2semidirect
6. #36596C2semidirect
7. #36522C2semidirect
8. #36517C2semidirect
9. #36481C2semidirect
10. #36472C2semidirect
11. #36438C2semidirect
12. #36414C2semidirect
13. #36379C2semidirect
14. #36366C2semidirect
15. #36365C2semidirect
16. #36315C2semidirect
17. #36302C2semidirect
18. #36297C2semidirect
19. #36144C2semidirect
20. #36143C2semidirect
21. #36117C2semidirect
22. #36116C2semidirect
23. #35229C2semidirect
24. #35202C2semidirect
25. #35191C2semidirect
26. #35161C2semidirect
27. #35136C2semidirect
28. #35135C2semidirect
29. #35123C2semidirect
30. #35056C2semidirect
31. #34305C2semidirect
32. #34301C2semidirect
33. #34242C2semidirect
34. #34232C2semidirect
35. C2×C4×#117C2semidirect
46. #2866C22semidirect
47. #2865C22semidirect
48. #2864C22semidirect
49. #2863C22semidirect
50. #2861C22semidirect
51. #2861C22semidirect
52. #2861C22semidirect
53. #2860C22semidirect
54. #2860C22semidirect
55. #2860C22semidirect
56. #2859C22semidirect
57. #2858C22semidirect
90. #2654C22semidirect
91. #2651C22semidirect
94. #2606C22semidirect
95. #2606C22semidirect
96. #2603C22semidirect
97. #2603C22semidirect
100. #2585C22semidirect
103. #2554C22semidirect
105. #2552C22semidirect
106. #2552C22semidirect
107. #2552C22semidirect
108. #2552C22semidirect
109. #2548C22semidirect
110. #2547C22semidirect
111. #2546C22semidirect
113. #2541C22semidirect
117. #2531C22semidirect
118. #2531C22semidirect
119. #2530C22semidirect
120. #2530C22semidirect
121. #2529C22semidirect
122. #2529C22semidirect
124. #2526C22semidirect
125. #2526C22semidirect
127. #2522C22semidirect
129. #2516C22semidirect
130. #2513C22semidirect
131. #2512C22semidirect
132. #2512C22semidirect
133. #2511C22semidirect
134. #2509C22semidirect
135. #2507C22semidirect
138. #2497C22semidirect
139. #2496C22semidirect
141. #2490C22semidirect
142. #2490C22semidirect
148. #2479C22semidirect
149. #2478C22semidirect
162. #2454C22semidirect
163. #2453C22semidirect
164. #2448C22semidirect
165. #2447C22semidirect
166. #2446C22semidirect
167. #2445C22semidirect
192. #2373C22semidirect
193. #2373C22semidirect
194. #2373C22semidirect
195. #2370C22semidirect
196. #2370C22semidirect
197. #2366C22semidirect
198. #2366C22semidirect
199. #2365C22semidirect
200. #2365C22semidirect
207. #2363C22semidirect
210. #2361C22semidirect
212. #2359C22semidirect
213. #2355C22semidirect
216. #2354C22semidirect
217. #2354C22semidirect
218. #2354C22semidirect
219. #2353C22semidirect
220. #2353C22semidirect
222. Q8×C4⋊C4C22semidirect
225. D4×C4⋊C4C22semidirect
227. #2346C22semidirect
229. #2344C22semidirect
234. #2335C22semidirect
235. #2334C22semidirect
238. #2330C22semidirect
239. #2330C22semidirect
240. #2324C22semidirect
241. #2324C22semidirect
242. #2319C22semidirect
243. #2314C22semidirect
244. C4×C4⋊Q8C22semidirect
245. C4×#127C22semidirect
246. C4×#125C22semidirect
247. C4×#126C22semidirect
248. C4×#124C22semidirect
249. C4×#124C22semidirect
250. C4×#124C22semidirect
266. #2298C22semidirect
268. #2295C22semidirect
269. #2293C22semidirect
270. #2293C22semidirect
271. #2293C22semidirect
277. #2275C22semidirect
278. #2274C22semidirect
962. #117#41semidirect
967. C2×C4⋊C4#41semidirect

Maximal subgroups

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

subgroupindex
#366382
#366312
#366242
#366212
#365992
#365962
#365222
#365172
#364812
#364722
#364382
#364142
#363792
#363662
#363652
#363152
#363022
#362972
#361442
#361432
#361172
#361162
#352292
#352022
#351912
#351612
#351362
#351352
#351232
#350562
#343052
#343012
#342422
#342322
C2×C4×#1172