Finite Group Databasebeta

← #7732421

Subgroups — #7732421

Order 512.

5393 conjugacy classes of subgroups.

The subgroup lattice has 1829 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#51510C214yesmaximal, complemented
2#50677C214yesmaximal, complemented
3#47566C214yesmaximal, complemented
4#46393C214yesmaximal, complemented
5#44903C212yesmaximal, complemented
6#44901C212yesmaximal, complemented
7#44899C212yesmaximal, complemented
8#44887C212yesmaximal, complemented
9#39735C211yesmaximal, characteristic, complemented
10#39419C212yesmaximal, complemented
11#39351C211yesmaximal, characteristic, complemented
12#39147C211yesmaximal, characteristic, complemented
13#39042C212yesmaximal, complemented
14#38942C211yesmaximal, characteristic, complemented
15#38202C212yesmaximal, complemented
16#37954C212yesmaximal, complemented
17#37946C212yesmaximal, complemented
18#37898C212yesmaximal, complemented
19#37869C212yesmaximal, complemented
20#37751C212yesmaximal, complemented
21#37624C211yesmaximal, characteristic, complemented
22#37336C212yesmaximal, complemented
23#37332C212yesmaximal, complemented
24#36596C211yesmaximal, characteristic, complemented
25#36460C211yesmaximal, characteristic, complemented
26#36273C211yesmaximal, characteristic, complemented
27#36117C211yesmaximal, characteristic, complemented
28#35605C212yesmaximal, complemented
29#35572C212yesmaximal, complemented
30#35272C211yesmaximal, characteristic, complemented
31#35272C211yesmaximal, characteristic, complemented
32#34909C211yesmaximal, characteristic, complemented
33#34364C211yesmaximal, characteristic, complemented
34#34193C211yesmaximal, characteristic, complemented
35#34060C211yesmaximal, characteristic, complemented
36C2×#555C2212yescomplemented
37C2×#553C2212yescomplemented
38C2×#542C2212yescomplemented
39C2×#535C2212yes—
40C2×#535C2212yes—
41C22×#127C2211yescharacteristic
42C2×#529C2212yescomplemented
43C2×C4×#41C2211yescharacteristic
44C2×C4×#41C2211yescharacteristic
45#2860C2212yescomplemented
46#2858C2212yescomplemented
47#2856C2212yes—
48#2856C2211yescharacteristic
49#2856C2211yescharacteristic
50#2856C2211yescharacteristic
51#2856C2212yes—
52#2856C2211yescharacteristic
53#2856C2212yescomplemented
54#2854C2212yescomplemented
55#2841C2214yes—
56#2797C2214yescomplemented
57#2757C2214yescomplemented
58#2757C2214yescomplemented
59#2756C2214yescomplemented
60#2756C2214yescomplemented
61#2753C2214yescomplemented
62#2752C2214yescomplemented
63#2749C2214yescomplemented
64#2737C2214yescomplemented
65#2735C2214yes—
66#2735C2214yes—
67#2730C2214yescomplemented
68#2723C2214yescomplemented
69#2712C2214yescomplemented
70#2710C2214yescomplemented
71#2705C2214yescomplemented
72#2703C2214yescomplemented
73#2703C2214yescomplemented
74#2703C2214yescomplemented
75#2701C2214yescomplemented
76#2701C2214yescomplemented
77#2699C2214yescomplemented
78#2699C2214yescomplemented
79#2691C2214yescomplemented
80#2691C2214yescomplemented
81#2688C2214yescomplemented
82#2686C2214yescomplemented
83#2685C2214yes—
84#2685C2214yes—
85#2685C2214yes—
86#2684C2214yes—
87#2678C2214yes—
88#2673C2214yescomplemented
89#2673C2214yescomplemented
90#2672C2214yescomplemented
91#2672C2214yescomplemented
92#2672C2214yescomplemented
93#2671C2214yescomplemented
94#2671C2214yescomplemented
95#2670C2214yes—
96#2666C2214yescomplemented
97#2660C2212yescomplemented
98#2647C2212yescomplemented
99#2644C2212yescomplemented
100#2641C2212yescomplemented
101#2629C2212yes—
102#2628C2212yes—
103#2624C2212yescomplemented
104#2619C2212yes—
105#2619C2214yes—
106#2619C2212yes—
107#2619C2212yescomplemented
108#2610C2214yescomplemented
109#2610C2214yescomplemented
110#2603C2214yescomplemented
111#2601C2214yescomplemented
112#2600C2212yes—
113#2600C2212yes—
114#2599C2212yescomplemented
115#2598C2212yescomplemented
116#2597C2214yescomplemented
117#2597C2214yescomplemented
118#2595C2214yescomplemented
119#2581C2211yescharacteristic, complemented
120#2580C2211yescharacteristic, complemented
121#2571C2211yescharacteristic, complemented
122#2570C2212yescomplemented
123#2566C2212yescomplemented
124#2561C2214yes—
125#2560C2214yescomplemented
126#2559C2214yescomplemented
127#2559C2214yescomplemented
128#2555C2214yescomplemented
129#2555C2214yescomplemented
130#2554C2214yescomplemented
131#2554C2214yescomplemented
132#2554C2214yescomplemented
133#2552C2211yescharacteristic, complemented
134#2552C2211yescharacteristic, complemented
135#2551C2211yescharacteristic, complemented
136#2550C2212yescomplemented
137#2548C2212yes—
138#2548C2212yes—
139#2548C2211yescharacteristic
140#2548C2212yes—
141#2548C2211yescharacteristic
142#2544C2214yescomplemented
143#2543C2214yescomplemented
144#2542C2212yescomplemented
145#2541C2211yescharacteristic
146#2541C2211yescharacteristic
147#2541C2212yes—
148#2541C2212yes—
149#2541C2212yes—
150#2539C2214yes—
151#2537C2212yescomplemented
152#2536C2211yescharacteristic, complemented
153#2535C2212yescomplemented
154#2535C2211yescharacteristic, complemented
155#2531C2214yescomplemented
156#2526C2214yescomplemented
157#2526C2214yescomplemented
158#2521C2214yescomplemented
159#2516C2214yescomplemented
160#2513C2212yescomplemented
161#2513C2212yescomplemented
162#2512C2212yescomplemented
163#2512C2212yescomplemented
164#2512C2212yescomplemented
165#2512C2212yescomplemented
166#2501C2212yescomplemented
167#2500C2212yescomplemented
168#2500C2212yescomplemented
169#2500C2212yescomplemented
170#2491C2212yescomplemented
171#2491C2212yescomplemented
172#2491C2212yescomplemented
173#2490C2212yescomplemented
174#2490C2212yescomplemented
175#2490C2212yescomplemented
176#2485C2211yescharacteristic
177#2485C2211yescharacteristic
178#2480C2214yes—
179#2479C2214yescomplemented
180#2479C2214yescomplemented
181#2479C2214yescomplemented
182#2476C2214yescomplemented
183#2474C2214yescomplemented
184#2472C2214yes—
185#2464C2214yescomplemented
186#2461C2214yescomplemented
187#2461C2214yescomplemented
188#2454C2212yescomplemented
189#2452C2212yescomplemented
190#2448C2212yescomplemented
191#2448C2212yescomplemented
192#2445C2212yescomplemented
193#2445C2214yescomplemented
194#2445C2212yescomplemented
195#2441C2212yes—
196#2439C2212yes—
197#2428C2212yescomplemented
198#2428C2212yescomplemented
199#2426C2212yescomplemented
200#2426C2212yescomplemented
201#2425C2214yescomplemented
202#2424C2214yes—
203#2422C2212yescomplemented
204#2422C2212yescomplemented
205#2422C2212yescomplemented
206#2422C2212yescomplemented
207#2420C2212yescomplemented
208#2420C2212yescomplemented
209#2418C2214yes—
210#2416C2212yescomplemented
211#2414C2212yescomplemented
212#2414C2212yescomplemented
213#2414C2212yescomplemented
214#2411C2214yes—
215#2411C2214yes—
216#2408C2212yes—
217#2408C2214yes—
218#2408C2212yes—
219#2408C2212yes—
220#2408C2212yes—
221#2408C2212yes—
222#2408C2212yes—
223#2407C2211yescharacteristic
224#2407C2211yescharacteristic
225#2395C2212yes—
226#2388C2212yes—
227#2380C2214yes—
228#2366C2211yescharacteristic
229#2366C2211yescharacteristic
230#2366C2211yescharacteristic
231#2366C2211yescharacteristic
232#2363C2212yescomplemented
233#2363C2212yescomplemented
234#2363C2212yescomplemented
235#2361C2212yescomplemented
236#2357C2212yescomplemented
237#2354C2212yes—
238#2354C2212yes—
239#2354C2212yescomplemented
240#2354C2211yescharacteristic, complemented
241#2354C2211yescharacteristic, complemented
242Q8×C4⋊C4C2211yescharacteristic, complemented
243Q8×C4⋊C4C2211yescharacteristic, complemented
244#2347C2212yes—
245#2347C2214yescomplemented
246#2341C2212yes—
247D4×C22⋊C4C2212yes—
248D4×C22⋊C4C2212yes—
249D4×C22⋊C4C2212yes—
250D4×C22⋊C4C2212yes—
251#2328C2212yes—
252#2328C2212yes—
253#2328C2212yes—
254#2328C2212yes—
255#2326C2212yescomplemented
256#2324C2212yescomplemented
257#2320C2212yescomplemented
258#2319C2212yes—
259#2319C2214yes—
260#2319C2212yescomplemented
261#2319C2212yescomplemented
262#2318C2212yes—
263#2318C2212yescomplemented
264#2317C2211yescharacteristic, complemented
265#2317C2211yescharacteristic, complemented
266#2314C2211yescharacteristic
267#2314C2211yescharacteristic
268#2314C2211yescharacteristic, complemented
269#2314C2211yescharacteristic, complemented
270#2311C2211yescharacteristic
271#2311C2211yescharacteristic
272#2309C2212yes—
273#2309C2212yes—
274#2308C2214yes—
275C4×#124C2212yescomplemented
276C4×C22⋊Q8C2211yescharacteristic, complemented
277C4×C22⋊Q8C2211yescharacteristic, complemented
278C4×#121C2211yescharacteristic, complemented
279C4×#121C2211yescharacteristic, complemented
280C4×#121C2212yescomplemented
281#2295C2212yescomplemented
282#2293C2212yes—
283#2293C2212yescomplemented
284#2290C2212yes—
285#2290C2212yescomplemented
286#2290C2212yescomplemented
287#2290C2212yescomplemented
288#2285C2211yescharacteristic
289#2285C2211yescharacteristic
290#2285C2212yescomplemented
291#2285C2211yescharacteristic, complemented
292#2283C2211yescharacteristic
293#2283C2211yescharacteristic
294#2283C2211yescharacteristic, complemented
295#2283C2212yescomplemented
296#2276C2212yescomplemented
297C4×#117C2211yescharacteristic, complemented
298C2×C4×C4⋊C4C2211yescharacteristic, complemented
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C23×D4C2312yes—
302C23×D4C2312yes—
303C23×D4C2312yes—
304#555—48no—
305#553—48no—
306#542—48no—
307#535—48no—
308#535—48no—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×#127—28no—
312C2×#127C2312yes—
313C2×#127C2312yes—
314C2×#127C2311yescharacteristic
315C2×#127C2311yescharacteristic
316C2×#127C2312yes—
317C2×#127C2312yes—
318C2×#127C2312yes—
319C2×#127C2314yes—
320#529—48no—
321C2×#126C2314yes—
322C2×#126C2314yes—
323C2×#126C2314yes—
324C2×#126C2314yes—
325C2×#125C2312yes—
326C2×#125C2312yes—
327C2×#124C2312yes—
328C2×#124C2312yes—
329C2×#124C2314yes—
330C2×#124C2314yes—
331C2×#124C2314yes—
332C2×#124C2314yes—
333C2×#124C2314yes—
334C2×#123C2314yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×#123C2314yes—
338C2×#123C2314yes—
339C2×#123C2314yes—
340C2×C22⋊Q8C2311yescharacteristic
341C2×C22⋊Q8C2311yescharacteristic
342C2×C22⋊Q8C2314yes—
343C2×C22⋊Q8C2314yes—
344C2×#121C2312yes—
345C2×#121C2312yes—
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2312yes—
353C2×#121C2314yes—
354C2×#121C2314yes—
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#121C2312yes—
358C2×#121C2311yescharacteristic
359C2×#121C2314yes—
360C2×#121C2311yescharacteristic
361C2×#121C2314yes—
362C2×#121C2314yes—
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2314yes—
366C2×#121C2312yes—
367C2×#121C2312yes—
368C2×#121C2314yes—
369C2×#121C2314yes—
370C2×#120C2314yes—
371C2×#120C2314yes—
372C2×#120C2314yes—
373C2×#120C2314yes—
374C4×#41—28no—
375C4×#41—28no—
376C2×C4×Q8C2311yescharacteristic
377C2×C4×Q8C2311yescharacteristic
378C2×C4×Q8C2311yescharacteristic
379C2×C4×Q8C2312yes—
380C2×C4×Q8C2311yescharacteristic
381C2×C4×Q8C2312yes—
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2311yescharacteristic
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2312yes—
386C2×C4×D4C2311yescharacteristic
387C2×C4×D4C2312yes—
388C2×C4×D4C2311yescharacteristic
389C2×C4×D4C2312yes—
390C2×C4×D4C2311yescharacteristic
391C2×C4×D4C2311yescharacteristic
392C2×C4×D4C2311yescharacteristic
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2314yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2314yes—
404C2×#117C2311yescharacteristic
405C2×#117C2311yescharacteristic
406C2×#117C2311yescharacteristic
407C2×#117C2311yescharacteristic
408C2×#117C2311yescharacteristic
409C2×#117C2312yes—
410C2×#117C2312yes—
411C2×#117C2312yes—
412C2×#117C2311yescharacteristic
413C2×#117C2312yes—
414C2×#117C2314yes—
415C2×#117C2312yes—
416C2×#117C2312yes—
417C2×#117C2314yes—
418C22×C4⋊C4C2311yescharacteristic
419C22×C4⋊C4C2311yescharacteristic
420C22×C22⋊C4C2314yes—
421C22×C22⋊C4C2314yes—
422C22×C42C2311yescharacteristic
423C22×C42C2312yes—
424C22×C42C2311yescharacteristic
425C22×C42C2312yes—
426C22×C42C2311yescharacteristic
427#400C2314yes—
428#400C2314yes—
429#400C2312yes—
430#400C2314yes—
431#399C2312yes—
432#399C2314yes—
433#399C2314yes—
434#399C2314yes—
435#399C2314yes—
436#399C2314yes—
437#398C2312yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#397C2314yes—
445#397C2312yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2312yes—
454#397C2312yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#395C2312yes—
468#395C2314yes—
469#395C2314yes—
470#395C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2312yes—
476#394C2312yes—
477#394C2312yes—
478#394C2312yes—
479#394C2312yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
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#393C2314yes—
505#393C2314yes—
506#393C2312yes—
507#393C2314yes—
508#392C2312yes—
509#392C2312yes—
510#392C2312yes—
511#392C2314yes—
512#392C2314yes—
513#392C2314yes—
514#392C2314yes—
515#392C2314yes—
516#392C2314yes—
517#392C2314yes—
518#392C2314yes—
519#392C2314yes—
520#392C2314yes—
521#392C2314yes—
522#392C2314yes—
523#391C2314yes—
524#391C2312yes—
525#391C2312yes—
526#391C2311yescharacteristic
527#391C2311yescharacteristic
528#390C2314yes—
529#390C2312yes—
530#390C2312yes—
531#390C2312yes—
532#390C2314yes—
533#390C2314yes—
534#390C2312yes—
535#390C2312yes—
536#390C2312yes—
537#390C2312yes—
538#390C2314yes—
539#390C2312yes—
540#390C2312yes—
541#390C2312yes—
542#390C2312yes—
543#390C2314yes—
544#390C2314yes—
545#390C2312yes—
546#390C2312yes—
547#390C2312yes—
548#390C2314yes—
549#390C2311yescharacteristic
550#390C2311yescharacteristic
551#390C2312yes—
552#390C2312yes—
553#390C2312yes—
554#390C2312yes—
555#390C2312yes—
556#390C2312yes—
557#390C2312yes—
558#390C2312yes—
559#390C2312yes—
560#390C2314yes—
561#390C2312yes—
562#390C2312yes—
563#390C2312yes—
564#390C2314yes—
565#390C2312yes—
566#390C2312yes—
567#390C2312yes—
568#390C2312yes—
569#390C2312yes—
570#390C2312yes—
571#390C2314yes—
572#390C2314yes—
573#390C2314yes—
574#390C2314yes—
575#390C2314yes—
576#390C2314yes—
577#390C2314yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2312yes—
585#389C2312yes—
586#389C2314yes—
587#389C2314yes—
588#389C2311yescharacteristic
589#389C2312yes—
590#389C2312yes—
591#389C2311yescharacteristic
592#389C2311yescharacteristic
593#389C2311yescharacteristic
594#389C2314yes—
595#389C2312yes—
596#389C2312yes—
597#389C2312yes—
598#389C2312yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2312yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2312yes—
607#388C2312yes—
608#388C2312yes—
609#388C2312yes—
610#388C2312yes—
611#388C2312yes—
612#388C2312yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2312yes—
629#388C2312yes—
630#388C2314yes—
631#388C2312yes—
632#388C2312yes—
633#388C2312yes—
634#388C2312yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#387C2312yes—
646#387C2312yes—
647#387C2312yes—
648#387C2312yes—
649#387C2312yes—
650#387C2312yes—
651#387C2312yes—
652#387C2312yes—
653#387C2314yes—
654#387C2314yes—
655#387C2312yes—
656#387C2312yes—
657#387C2312yes—
658#387C2312yes—
659#387C2312yes—
660#387C2312yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2312yes—
671#386C2312yes—
672#386C2312yes—
673#386C2312yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2312yes—
683#386C2312yes—
684#386C2312yes—
685#386C2312yes—
686#386C2314yes—
687#386C2312yes—
688#386C2312yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2312yes—
698#385C2312yes—
699#385C2312yes—
700#385C2312yes—
701#385C2314yes—
702#385C2312yes—
703#385C2312yes—
704#385C2314yes—
705#385C2314yes—
706#385C2312yes—
707#385C2312yes—
708#385C2312yes—
709#385C2312yes—
710#385C2314yes—
711#384C2312yes—
712#384C2311yescharacteristic
713#384C2311yescharacteristic
714#384C2311yescharacteristic
715#384C2311yescharacteristic
716#384C2312yes—
717#384C2311yescharacteristic
718#384C2311yescharacteristic
719#384C2312yes—
720#384C2312yes—
721#383C2312yes—
722#383C2312yes—
723#383C2312yes—
724#383C2314yes—
725#382C2311yescharacteristic
726#382C2311yescharacteristic
727#382C2311yescharacteristic
728#382C2311yescharacteristic
729#382C2311yescharacteristic
730#382C2312yes—
731#382C2312yes—
732#382C2312yes—
733#382C2312yes—
734#382C2311yescharacteristic
735#382C2312yes—
736#381C2314yes—
737#381C2314yes—
738#381C2312yes—
739#381C2312yes—
740#381C2312yes—
741#381C2314yes—
742#380C2311yescharacteristic
743#380C2311yescharacteristic
744#380C2311yescharacteristic
745#380C2311yescharacteristic
746#380C2311yescharacteristic
747#380C2311yescharacteristic
748#380C2311yescharacteristic
749#380C2311yescharacteristic
750#380C2312yes—
751#380C2312yes—
752#380C2312yes—
753#380C2314yes—
754#380C2314yes—
755#380C2311yescharacteristic
756#380C2311yescharacteristic
757#380C2311yescharacteristic
758#380C2312yes—
759#380C2314yes—
760#380C2311yescharacteristic
761#380C2312yes—
762#380C2312yes—
763#380C2314yes—
764#380C2311yescharacteristic
765#380C2311yescharacteristic
766#379C2314yes—
767#379C2314yes—
768#379C2314yes—
769#379C2314yes—
770#379C2314yes—
771#379C2314yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2314yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2314yes—
787C4×C4⋊C4C2314yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2311yescharacteristic
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812#376C2312yes—
813#376C2314yes—
814#376C2312yes—
815#376C2312yes—
816#376C2312yes—
817C2×#95C2312yes—
818C43C2312yes—
819C25C2414yes—
820C2×#41—24no—
821C2×#41—24no—
822C2×#41—24no—
823C2×#41—24no—
824C2×#41—42no—
825C2×#41—42no—
826C22×Q8C2411yescharacteristic
827C22×Q8C2411yescharacteristic
828C22×Q8C2414yes—
829C22×D4—28no—
830C22×D4—28no—
831C22×D4—28no—
832C22×D4—44no—
833C22×D4—44no—
834C22×D4—44no—
835C22×D4—44no—
836C22×D4—82no—
837C22×D4—82no—
838C22×D4C2412yes—
839C22×D4C2412yes—
840C22×D4C2412yes—
841C22×D4C2412yes—
842C22×D4C2411yescharacteristic
843C22×D4C2411yescharacteristic
844C22×D4C2412yes—
845C22×D4C2411yescharacteristic
846C22×D4C2411yescharacteristic
847C22×D4C2414yes—
848C22×D4C2414yes—
849C22×D4C2412yes—
850C22×D4C2414yes—
851C22×D4C2414yes—
852C22×D4C2412yes—
853C22×D4C2412yes—
854C22×D4C2414yes—
855C22×D4C2412yes—
856C22×D4C2414yes—
857C22×D4C2414yes—
858C22×D4C2414yes—
859C22×D4C2414yes—
860C22×D4C2414yes—
861C22×D4C2414yes—
862C23×C4C2412yes—
863C23×C4C2411yescharacteristic
864C23×C4C2411yescharacteristic
865C23×C4C2411yescharacteristic
866C23×C4C2412yes—
867C23×C4C2411yescharacteristic
868C23×C4C2411yescharacteristic
869C23×C4C2411yescharacteristic
870C23×C4C2412yes—
871C23×C4C2411yescharacteristic
872C23×C4C2411yescharacteristic
873C23×C4C2412yes—
874C23×C4C2414yes—
875C23×C4C2414yes—
876C23×C4C2414yes—
877C23×C4C2414yes—
878C23×C4C2412yes—
879C23×C4C2411yescharacteristic
880C4⋊Q8—44no—
881C4⋊Q8—44no—
882#127—28no—
883#127—24no—
884#127—24no—
885#127—28no—
886#127—28no—
887#127—44no—
888#127—44no—
889#127—48no—
890#126—48no—
891#126—48no—
892#126—48no—
893#126—84no—
894#125—44no—
895#125—44no—
896#124—28no—
897#124—28no—
898#124—48no—
899#124—48no—
900#124—48no—
901#124—48no—
902#124—84no—
903#123—48no—
904#123—48no—
905#123—48no—
906#123—84no—
907#123—84no—
908#123—84no—
909C22⋊Q8—24no—
910C22⋊Q8—24no—
911C22⋊Q8—48no—
912C22⋊Q8—84no—
913#121—28no—
914#121—28no—
915#121—48no—
916#121—48no—
917#121—48no—
918#121—44no—
919#121—44no—
920#121—42no—
921#121—42no—
922#121—44no—
923#121—44no—
924#121—44no—
925#121—44no—
926#121—44no—
927#121—44no—
928#121—44no—
929#121—44no—
930#121—48no—
931#121—84no—
932#121—84no—
933#121—82no—
934#121—84no—
935#121—82no—
936#121—84no—
937#121—82no—
938#121—82no—
939#120—48no—
940#120—48no—
941#120—48no—
942#120—48no—
943C4×Q8—28no—
944C4×Q8—24no—
945C4×Q8—24no—
946C4×Q8—24no—
947C4×Q8—24no—
948C4×Q8—44no—
949C4×D4—28no—
950C4×D4—24no—
951C4×D4—24no—
952C4×D4—24no—
953C4×D4—24no—
954C4×D4—28no—
955C4×D4—28no—
956C4×D4—24no—
957C4×D4—24no—
958C4×D4—24no—
959C4×D4—24no—
960C4×D4—48no—
961C4×D4—44no—
962C4×D4—44no—
963C4×D4—44no—
964C4×D4—44no—
965C4×D4—44no—
966C4×D4—44no—
967C4×D4—44no—
968C4×D4—44no—
969C4×D4—44no—
970C4×D4—48no—
971#117—24no—
972#117—24no—
973#117—24no—
974#117—24no—
975#117—24no—
976#117—28no—
977#117—44no—
978#117—44no—
979#117—48no—
980#117—48no—
981#117—42no—
982#117—44no—
983#117—44no—
984#117—44no—
985C2×C4⋊C4—24no—
986C2×C4⋊C4—42no—
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2412yes—
1044C2×C22⋊C4—84no—
1045C2×C22⋊C4—84no—
1046C2×C22⋊C4C2411yescharacteristic
1047C2×C22⋊C4C2411yescharacteristic
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2411yescharacteristic
1050C2×C22⋊C4C2411yescharacteristic
1051C2×C22⋊C4C2411yescharacteristic
1052C2×C22⋊C4C2411yescharacteristic
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2412yes—
1120C2×C42—28no—
1121C2×C42—24no—
1122C2×C42—24no—
1123C2×C42—44no—
1124C2×C42#4118yes—
1125C2×C42C2412yes—
1126C2×C42C2412yes—
1127C2×C42C2411yescharacteristic
1128C2×C42C2411yescharacteristic
1129C2×C42C2412yes—
1130C2×C42C2412yes—
1131C2×C42C2414yes—
1132C2×C42C2412yes—
1133C2×C42C2412yes—
1134C2×C42C2412yes—
1135C2×C42C2412yes—
1136C2×C42C2411yescharacteristic
1137C2×C42C2411yescharacteristic
1138C2×C42C2412yes—
1139C2×C42C2411yescharacteristic
1140C2×C42C2412yes—
1141C2×C42C2411yescharacteristic
1142C2×C42C2414yes—
1143C2×C42C2412yes—
1144C2×C42C2414yes—
1145C2×C42C2414yes—
1146C2×C42C2412yes—
1147C2×C42C2414yes—
1148C2×C42C2412yes—
1149C2×C42C2412yes—
1150C2×C42C2412yes—
1151C2×C42C2411yescharacteristic
1152C2×C42C2411yescharacteristic
1153C2×C42C2411yescharacteristic
1154C2×C42C2411yescharacteristic
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2414yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2414yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2414yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2412yes—
1199#95C2414yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2414yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2414yes—
1210#95C2414yes—
1211C24—28no—
1212C24—44no—
1213C24—44no—
1214C24—44no—
1215C24—44no—
1216C24—44no—
1217C24—44no—
1218C24C2514yes—
1219C24C2514yes—
1220C24C2511yescharacteristic
1221C24C2512yes—
1222C24C2511yescharacteristic
1223C24C2511yescharacteristic
1224#41—416no—
1225#41—416no—
1226C2×Q8—22no—
1227C2×Q8—22no—
1228C2×Q8—22no—
1229C2×Q8—22no—
1230C2×Q8—41no—
1231C2×Q8—44no—
1232C2×Q8—44no—
1233C2×Q8—44no—
1234C2×Q8H(5,𝔽2)14yes—
1235C2×D4—22no—
1236C2×D4—24no—
1237C2×D4—22no—
1238C2×D4—22no—
1239C2×D4—22no—
1240C2×D4—24no—
1241C2×D4—28no—
1242C2×D4—28no—
1243C2×D4—22no—
1244C2×D4—22no—
1245C2×D4—24no—
1246C2×D4—24no—
1247C2×D4—24no—
1248C2×D4—24no—
1249C2×D4—28no—
1250C2×D4—28no—
1251C2×D4—24no—
1252C2×D4—24no—
1253C2×D4—28no—
1254C2×D4—24no—
1255C2×D4—24no—
1256C2×D4—24no—
1257C2×D4—24no—
1258C2×D4—24no—
1259C2×D4—22no—
1260C2×D4—22no—
1261C2×D4—24no—
1262C2×D4—24no—
1263C2×D4—24no—
1264C2×D4—24no—
1265C2×D4—22no—
1266C2×D4—41no—
1267C2×D4—42no—
1268C2×D4—41no—
1269C2×D4—41no—
1270C2×D4—44no—
1271C2×D4—42no—
1272C2×D4—44no—
1273C2×D4—44no—
1274C2×D4—42no—
1275C2×D4—42no—
1276C2×D4—42no—
1277C2×D4—42no—
1278C2×D4—44no—
1279C2×D4—44no—
1280C2×D4—42no—
1281C2×D4—42no—
1282C2×D4—44no—
1283C2×D4—44no—
1284C2×D4—42no—
1285C2×D4—42no—
1286C2×D4—44no—
1287C2×D4—44no—
1288C2×D4—44no—
1289C2×D4—44no—
1290C2×D4—44no—
1291C2×D4—44no—
1292C2×D4—44no—
1293C2×D4—44no—
1294C2×D4—44no—
1295C2×D4—44no—
1296C2×D4—44no—
1297C2×D4—44no—
1298C2×D4—44no—
1299C2×D4—44no—
1300C2×D4—44no—
1301C2×D4—44no—
1302C2×D4—44no—
1303C2×D4—44no—
1304C2×D4—44no—
1305C2×D4—44no—
1306C2×D4—44no—
1307C2×D4—816no—
1308C2×D4—816no—
1309C2×D4—816no—
1310C22×C4—22no—
1311C22×C4—22no—
1312C22×C4—22no—
1313C22×C4—22no—
1314C22×C4—22no—
1315C22×C4—22no—
1316C22×C4—24no—
1317C22×C4—24no—
1318C22×C4—22no—
1319C22×C4—24no—
1320C22×C4—22no—
1321C22×C4—22no—
1322C22×C4—22no—
1323C22×C4—24no—
1324C22×C4—22no—
1325C22×C4—24no—
1326C22×C4—22no—
1327C22×C4—22no—
1328C22×C4—24no—
1329C22×C4—22no—
1330C22×C4—22no—
1331C22×C4—22no—
1332C22×C4—24no—
1333C22×C4—22no—
1334C22×C4—41no—
1335C22×C4—41no—
1336C22×C4—42no—
1337C22×C4—42no—
1338C22×C4—42no—
1339C22×C4—44no—
1340C22×C4—44no—
1341C22×C4—42no—
1342C22×C4—44no—
1343C22×C4—44no—
1344C22×C4—44no—
1345C22×C4—44no—
1346C22×C4—41no—
1347C22×C4—41no—
1348C22×C4—41no—
1349C22×C4—42no—
1350C22×C4—42no—
1351C22×C4—41no—
1352C22×C4—42no—
1353C22×C4—42no—
1354C22×C4—44no—
1355C22×C4—44no—
1356C22×C4—44no—
1357C22×C4—44no—
1358C22×C4—44no—
1359C22×C4—44no—
1360C22×C4C2×#4114yes—
1361C22×C4C2×#4114yes—
1362C22×C4C2×#4114yes—
1363C22×C4H(5,𝔽2)14yes—
1364C22×C4C2512yes—
1365C22×C4C2512yes—
1366C22×C4C2511yescharacteristic
1367C22×C4C2512yes—
1368C22×C4C2512yes—
1369C22×C4C2512yes—
1370C22×C4C2512yes—
1371C22×C4C2511yescharacteristic
1372C22×C4C2511yescharacteristic
1373C22×C4C2512yes—
1374C22×C4C2512yes—
1375C22×C4C2514yes—
1376C22×C4C2512yes—
1377C22×C4C2511yescharacteristic
1378C22×C4C2511yescharacteristic
1379C22×C4C2512yes—
1380C22×C4C2512yes—
1381C22×C4C2512yes—
1382C22×C4C2512yes—
1383C22×C4C2514yes—
1384C22×C4C2512yes—
1385C22×C4C2511yescharacteristic
1386C22×C4C2511yescharacteristic
1387C22×C4C2511yescharacteristic
1388C22×C4C2511yescharacteristic
1389C22×C4C2511yescharacteristic
1390C22×C4C2512yes—
1391C22×C4C2511yescharacteristic
1392C22×C4C2511yescharacteristic
1393C4⋊C4—22no—
1394C4⋊C4—22no—
1395C4⋊C4—24no—
1396C4⋊C4—24no—
1397C4⋊C4—22no—
1398C4⋊C4—22no—
1399C4⋊C4—22no—
1400C4⋊C4—22no—
1401C4⋊C4—22no—
1402C4⋊C4—22no—
1403C4⋊C4—22no—
1404C4⋊C4—22no—
1405C4⋊C4—24no—
1406C4⋊C4—22no—
1407C4⋊C4—22no—
1408C4⋊C4—24no—
1409C4⋊C4—24no—
1410C4⋊C4—24no—
1411C4⋊C4—24no—
1412C4⋊C4—22no—
1413C4⋊C4—22no—
1414C4⋊C4—24no—
1415C4⋊C4—28no—
1416C4⋊C4—24no—
1417C4⋊C4—22no—
1418C4⋊C4—22no—
1419C4⋊C4—22no—
1420C4⋊C4—22no—
1421C4⋊C4—22no—
1422C4⋊C4—22no—
1423C4⋊C4—24no—
1424C4⋊C4—42no—
1425C4⋊C4—42no—
1426C4⋊C4—42no—
1427C4⋊C4—44no—
1428C4⋊C4—42no—
1429C4⋊C4—44no—
1430C4⋊C4—42no—
1431C4⋊C4—42no—
1432C4⋊C4—44no—
1433C4⋊C4—44no—
1434C4⋊C4—44no—
1435C4⋊C4—44no—
1436C4⋊C4—42no—
1437C4⋊C4—42no—
1438C4⋊C4—42no—
1439C4⋊C4—42no—
1440C4⋊C4—44no—
1441C4⋊C4—44no—
1442C4⋊C4—42no—
1443C4⋊C4—42no—
1444C4⋊C4—44no—
1445C4⋊C4—44no—
1446C4⋊C4—42no—
1447C4⋊C4—44no—
1448C4⋊C4—44no—
1449C4⋊C4—42no—
1450C22⋊C4—22no—
1451C22⋊C4—24no—
1452C22⋊C4—22no—
1453C22⋊C4—24no—
1454C22⋊C4—24no—
1455C22⋊C4—22no—
1456C22⋊C4—22no—
1457C22⋊C4—22no—
1458C22⋊C4—24no—
1459C22⋊C4—22no—
1460C22⋊C4—24no—
1461C22⋊C4—28no—
1462C22⋊C4—28no—
1463C22⋊C4—24no—
1464C22⋊C4—24no—
1465C22⋊C4—28no—
1466C22⋊C4—28no—
1467C22⋊C4—28no—
1468C22⋊C4—28no—
1469C22⋊C4—24no—
1470C22⋊C4—42no—
1471C22⋊C4—42no—
1472C22⋊C4—42no—
1473C22⋊C4—42no—
1474C22⋊C4—44no—
1475C22⋊C4—44no—
1476C22⋊C4—44no—
1477C22⋊C4—44no—
1478C22⋊C4—42no—
1479C22⋊C4—42no—
1480C22⋊C4—42no—
1481C22⋊C4—44no—
1482C22⋊C4—44no—
1483C22⋊C4—44no—
1484C22⋊C4—44no—
1485C22⋊C4—44no—
1486C22⋊C4—42no—
1487C22⋊C4—42no—
1488C22⋊C4—44no—
1489C22⋊C4—44no—
1490C22⋊C4—42no—
1491C22⋊C4—42no—
1492C22⋊C4—44no—
1493C22⋊C4—44no—
1494C22⋊C4—44no—
1495C22⋊C4—44no—
1496C22⋊C4—44no—
1497C22⋊C4—44no—
1498C22⋊C4—44no—
1499C22⋊C4—44no—
1500C22⋊C4—44no—
1501C22⋊C4—44no—
1502C22⋊C4—44no—
1503C22⋊C4—44no—
1504C22⋊C4—42no—
1505C22⋊C4—42no—
1506C22⋊C4—44no—
1507C22⋊C4—44no—
1508C22⋊C4—42no—
1509C22⋊C4—44no—
1510C22⋊C4—44no—
1511C22⋊C4—44no—
1512C22⋊C4—44no—
1513C22⋊C4—44no—
1514C22⋊C4—44no—
1515C22⋊C4—44no—
1516C22⋊C4—44no—
1517C22⋊C4—44no—
1518C22⋊C4—44no—
1519C22⋊C4—42no—
1520C22⋊C4—42no—
1521C22⋊C4—42no—
1522C22⋊C4—42no—
1523C22⋊C4—42no—
1524C42—24no—
1525C42—22no—
1526C42—22no—
1527C42—22no—
1528C42—24no—
1529C42—24no—
1530C42—22no—
1531C42—22no—
1532C42—22no—
1533C42—24no—
1534C42—24no—
1535C42—24no—
1536C42—24no—
1537C42—28no—
1538C42—24no—
1539C42—24no—
1540C42—24no—
1541C42—42no—
1542C42—42no—
1543C42—42no—
1544C42—44no—
1545C42—44no—
1546C42—44no—
1547C42—44no—
1548C42—42no—
1549C42—42no—
1550C42C2×#4114yes—
1551C42C2×#4114yes—
1552C42C2×#4114yes—
1553C42C2×#4114yes—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—22no—
1567C23—21no—
1568C23—24no—
1569C23—24no—
1570C23—21no—
1571C23—24no—
1572C23—24no—
1573C23—22no—
1574C23—24no—
1575C23—24no—
1576C23—22no—
1577C23—21no—
1578C23—21no—
1579C23—22no—
1580C23—24no—
1581C23—24no—
1582C23—24no—
1583C23—24no—
1584C23—22no—
1585C23—21no—
1586C23—21no—
1587C23—24no—
1588C23—24no—
1589C23—22no—
1590C23—22no—
1591C23—24no—
1592C23—24no—
1593C23—21no—
1594C23—416no—
1595C23—88no—
1596C23—88no—
1597C23—164no—
1598C23—164no—
1599C23—164no—
1600C23—164no—
1601C23C22×#4112yes—
1602C23C2×H(5,𝔽2)12yes—
1603C23C2611yescharacteristic
1604Q8—28no—
1605Q8—44no—
1606Q8—164no—
1607D4—44no—
1608D4—44no—
1609D4—48no—
1610D4—44no—
1611D4—48no—
1612D4—48no—
1613D4—48no—
1614D4—48no—
1615D4—44no—
1616D4—88no—
1617D4—88no—
1618D4—84no—
1619D4—84no—
1620D4—88no—
1621D4—88no—
1622D4—84no—
1623D4—88no—
1624D4—84no—
1625D4—164no—
1626D4—164no—
1627D4—164no—
1628D4—164no—
1629D4—164no—
1630D4—164no—
1631C2×C4—21no—
1632C2×C4—22no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—22no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—28no—
1644C2×C4—28no—
1645C2×C4—28no—
1646C2×C4—21no—
1647C2×C4—22no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—22no—
1652C2×C4—21no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—24no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—21no—
1666C2×C4—24no—
1667C2×C4—24no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—22no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—22no—
1676C2×C4—22no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—24no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—22no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—22no—
1692C2×C4—22no—
1693C2×C4—22no—
1694C2×C4—22no—
1695C2×C4—21no—
1696C2×C4—22no—
1697C2×C4—22no—
1698C2×C4—22no—
1699C2×C4—21no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—22no—
1703C2×C4—22no—
1704C2×C4—24no—
1705C2×C4—22no—
1706C2×C4—22no—
1707C2×C4—22no—
1708C2×C4—24no—
1709C2×C4—44no—
1710C2×C4—48no—
1711C2×C4—48no—
1712C2×C4—44no—
1713C2×C4—44no—
1714C2×C4—44no—
1715C2×C4—82no—
1716C2×C4—82no—
1717C2×C4—84no—
1718C2×C4—84no—
1719C2×C4—88no—
1720C2×C4—84no—
1721C2×C4—88no—
1722C2×C4—164no—
1723C2×C4—164no—
1724C2×C4C22×#4112yes—
1725C2×C4C22×#4112yes—
1726C2×C4C22×#4112yes—
1727C2×C4C22×#4112yes—
1728C2×C4C22×#4112yes—
1729C2×C4C22×#4112yes—
1730C2×C4C2×H(5,𝔽2)14yes—
1731C2×C4C2×H(5,𝔽2)12yes—
1732C2×C4C2×H(5,𝔽2)12yes—
1733C2×C4C2×H(5,𝔽2)12yes—
1734C2×C4#58512yes—
1735C2×C4#58512yes—
1736C22—22no—
1737C22—22no—
1738C22—22no—
1739C22—22no—
1740C22—22no—
1741C22—22no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—42no—
1751C22—41no—
1752C22—41no—
1753C22—42no—
1754C22—44no—
1755C22—44no—
1756C22—44no—
1757C22—44no—
1758C22—41no—
1759C22—42no—
1760C22—44no—
1761C22—44no—
1762C22—44no—
1763C22—44no—
1764C22—41no—
1765C22—42no—
1766C22—44no—
1767C22—42no—
1768C22—44no—
1769C22—41no—
1770C22—44no—
1771C22—42no—
1772C22—44no—
1773C22—41no—
1774C22—44no—
1775C22—41no—
1776C22—42no—
1777C22—44no—
1778C22—1616no—
1779C22C23×#4111yescharacteristic
1780C22C22×H(5,𝔽2)11yescharacteristic
1781C22C22×H(5,𝔽2)11yescharacteristic
1782C22C2×#58511yescharacteristic
1783C22C2×#58511yescharacteristic
1784C22H(7,𝔽2)11yescharacteristic
1785C22H(7,𝔽2)11yescharacteristic
1786C4—22no—
1787C4—22no—
1788C4—22no—
1789C4—24no—
1790C4—22no—
1791C4—22no—
1792C4—41no—
1793C4—41no—
1794C4—42no—
1795C4—41no—
1796C4—41no—
1797C4—41no—
1798C4—42no—
1799C4—42no—
1800C4—42no—
1801C4—42no—
1802C4—44no—
1803C4—42no—
1804C4—42no—
1805C4—42no—
1806C4—42no—
1807C4—42no—
1808C4—42no—
1809C4—42no—
1810C4—44no—
1811C4—42no—
1812C4—42no—
1813C4#349414yes—
1814C4#349414yes—
1815C2—42no—
1816C2—42no—
1817C2—82no—
1818C2—81no—
1819C2—84no—
1820C2—84no—
1821C2C2×#349411yescharacteristic
1822C2C2×#349411yescharacteristic
1823C2#6285511yescharacteristic
1824C2#6291611yescharacteristic
1825C2#6292311yescharacteristic
1826C2#6295511yescharacteristic
1827C2#6296611yescharacteristic
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. #51510C2semidirect
2. #50677C2semidirect
3. #47566C2semidirect
4. #46393C2semidirect
5. #44903C2semidirect
6. #44901C2semidirect
7. #44899C2semidirect
8. #44887C2semidirect
9. #39735C2semidirect
10. #39419C2semidirect
11. #39351C2semidirect
12. #39147C2semidirect
13. #39042C2semidirect
14. #38942C2semidirect
15. #38202C2semidirect
16. #37954C2semidirect
17. #37946C2semidirect
18. #37898C2semidirect
19. #37869C2semidirect
20. #37751C2semidirect
21. #37624C2semidirect
22. #37336C2semidirect
23. #37332C2semidirect
24. #36596C2semidirect
25. #36460C2semidirect
26. #36273C2semidirect
27. #36117C2semidirect
28. #35605C2semidirect
29. #35572C2semidirect
30. #35272C2semidirect
31. #35272C2semidirect
32. #34909C2semidirect
33. #34364C2semidirect
34. #34193C2semidirect
35. #34060C2semidirect
36. C2×#555C22semidirect
37. C2×#553C22semidirect
38. C2×#542C22semidirect
42. C2×#529C22semidirect
45. #2860C22semidirect
46. #2858C22semidirect
53. #2856C22semidirect
54. #2854C22semidirect
56. #2797C22semidirect
57. #2757C22semidirect
58. #2757C22semidirect
59. #2756C22semidirect
60. #2756C22semidirect
61. #2753C22semidirect
62. #2752C22semidirect
63. #2749C22semidirect
64. #2737C22semidirect
67. #2730C22semidirect
68. #2723C22semidirect
69. #2712C22semidirect
70. #2710C22semidirect
71. #2705C22semidirect
72. #2703C22semidirect
73. #2703C22semidirect
74. #2703C22semidirect
75. #2701C22semidirect
76. #2701C22semidirect
77. #2699C22semidirect
78. #2699C22semidirect
79. #2691C22semidirect
80. #2691C22semidirect
81. #2688C22semidirect
82. #2686C22semidirect
88. #2673C22semidirect
89. #2673C22semidirect
90. #2672C22semidirect
91. #2672C22semidirect
92. #2672C22semidirect
93. #2671C22semidirect
94. #2671C22semidirect
96. #2666C22semidirect
97. #2660C22semidirect
98. #2647C22semidirect
99. #2644C22semidirect
100. #2641C22semidirect
103. #2624C22semidirect
107. #2619C22semidirect
108. #2610C22semidirect
109. #2610C22semidirect
110. #2603C22semidirect
111. #2601C22semidirect
114. #2599C22semidirect
115. #2598C22semidirect
116. #2597C22semidirect
117. #2597C22semidirect
118. #2595C22semidirect
119. #2581C22semidirect
120. #2580C22semidirect
121. #2571C22semidirect
122. #2570C22semidirect
123. #2566C22semidirect
125. #2560C22semidirect
126. #2559C22semidirect
127. #2559C22semidirect
128. #2555C22semidirect
129. #2555C22semidirect
130. #2554C22semidirect
131. #2554C22semidirect
132. #2554C22semidirect
133. #2552C22semidirect
134. #2552C22semidirect
135. #2551C22semidirect
136. #2550C22semidirect
142. #2544C22semidirect
143. #2543C22semidirect
144. #2542C22semidirect
151. #2537C22semidirect
152. #2536C22semidirect
153. #2535C22semidirect
154. #2535C22semidirect
155. #2531C22semidirect
156. #2526C22semidirect
157. #2526C22semidirect
158. #2521C22semidirect
159. #2516C22semidirect
160. #2513C22semidirect
161. #2513C22semidirect
162. #2512C22semidirect
163. #2512C22semidirect
164. #2512C22semidirect
165. #2512C22semidirect
166. #2501C22semidirect
167. #2500C22semidirect
168. #2500C22semidirect
169. #2500C22semidirect
170. #2491C22semidirect
171. #2491C22semidirect
172. #2491C22semidirect
173. #2490C22semidirect
174. #2490C22semidirect
175. #2490C22semidirect
179. #2479C22semidirect
180. #2479C22semidirect
181. #2479C22semidirect
182. #2476C22semidirect
183. #2474C22semidirect
185. #2464C22semidirect
186. #2461C22semidirect
187. #2461C22semidirect
188. #2454C22semidirect
189. #2452C22semidirect
190. #2448C22semidirect
191. #2448C22semidirect
192. #2445C22semidirect
193. #2445C22semidirect
194. #2445C22semidirect
197. #2428C22semidirect
198. #2428C22semidirect
199. #2426C22semidirect
200. #2426C22semidirect
201. #2425C22semidirect
203. #2422C22semidirect
204. #2422C22semidirect
205. #2422C22semidirect
206. #2422C22semidirect
207. #2420C22semidirect
208. #2420C22semidirect
210. #2416C22semidirect
211. #2414C22semidirect
212. #2414C22semidirect
213. #2414C22semidirect
232. #2363C22semidirect
233. #2363C22semidirect
234. #2363C22semidirect
235. #2361C22semidirect
236. #2357C22semidirect
239. #2354C22semidirect
240. #2354C22semidirect
241. #2354C22semidirect
242. Q8×C4⋊C4C22semidirect
243. Q8×C4⋊C4C22semidirect
245. #2347C22semidirect
255. #2326C22semidirect
256. #2324C22semidirect
257. #2320C22semidirect
260. #2319C22semidirect
261. #2319C22semidirect
263. #2318C22semidirect
264. #2317C22semidirect
265. #2317C22semidirect
268. #2314C22semidirect
269. #2314C22semidirect
275. C4×#124C22semidirect
276. C4×C22⋊Q8C22semidirect
277. C4×C22⋊Q8C22semidirect
278. C4×#121C22semidirect
279. C4×#121C22semidirect
280. C4×#121C22semidirect
281. #2295C22semidirect
283. #2293C22semidirect
285. #2290C22semidirect
286. #2290C22semidirect
287. #2290C22semidirect
290. #2285C22semidirect
291. #2285C22semidirect
294. #2283C22semidirect
295. #2283C22semidirect
296. #2276C22semidirect
297. C4×#117C22semidirect
298. C2×C4×C4⋊C4C22semidirect

Maximal subgroups

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

subgroupindex
#515102
#506772
#475662
#463932
#449032
#449012
#448992
#448872
#397352
#394192
#393512
#391472
#390422
#389422
#382022
#379542
#379462
#378982
#378692
#377512
#376242
#373362
#373322
#365962
#364602
#362732
#361172
#356052
#355722
#352722
#349092
#343642
#341932
#340602