Finite Group Databasebeta

← #7681096

Subgroups — #7681096

Order 512.

5301 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#59690C214yesmaximal, complemented
2#59687C214yesmaximal, complemented
3#59222C212yesmaximal, complemented
4#59217C212yesmaximal, complemented
5#59216C212yesmaximal, complemented
6#59214C212yesmaximal, complemented
7#45310C212yesmaximal, complemented
8#45262C212yesmaximal, complemented
9#45257C212yesmaximal, complemented
10#45035C212yesmaximal, complemented
11#43670C214yesmaximal, complemented
12#43269C214yesmaximal, complemented
13#39057C212yesmaximal, complemented
14#39055C212yesmaximal, complemented
15#38219C212yesmaximal, complemented
16#38212C212yesmaximal, complemented
17#38128C212yesmaximal, complemented
18#38123C212yesmaximal, complemented
19#36369C212yesmaximal, complemented
20#36278C212yesmaximal, complemented
21#35555C211yesmaximal, characteristic, complemented
22#35518C211yesmaximal, characteristic, complemented
23#35518C211yesmaximal, characteristic, complemented
24#35517C211yesmaximal, characteristic, complemented
25#35273C211yesmaximal, characteristic, complemented
26#35267C211yesmaximal, characteristic, complemented
27#35263C211yesmaximal, characteristic, complemented
28C2×#2497C211yesmaximal, characteristic, complemented
29#34743C211yesmaximal, characteristic, complemented
30#34274C211yesmaximal, characteristic, complemented
31#34267C211yesmaximal, characteristic, complemented
32#34250C211yesmaximal, characteristic, complemented
33#34202C211yesmaximal, characteristic, complemented
34#34136C211yesmaximal, characteristic, complemented
35#34060C211yesmaximal, characteristic, complemented
36C2×#537C2211yescharacteristic
37C2×#537C2211yescharacteristic
38C2×#532C2211yescharacteristic
39C2×#525C2211yescharacteristic
40C2×#525C2211yescharacteristic
41C2×#525C2211yescharacteristic
42C2×#520C2211yescharacteristic
43C2×#520C2211yescharacteristic
44C2×#520C2211yescharacteristic
45C2×C4×#41C2211yescharacteristic
46C2×C4×#41C2211yescharacteristic
47C22×#117C2211yescharacteristic
48#2863C2212yescomplemented
49#2860C2212yescomplemented
50#2857C2212yescomplemented
51#2856C2212yescomplemented
52#2855C2212yes—
53#2854C2212yes—
54#2803C2214yes—
55#2800C2214yes—
56#2800C2214yescomplemented
57#2796C2214yescomplemented
58#2795C2214yes—
59#2793C2214yescomplemented
60#2787C2214yescomplemented
61#2781C2214yes—
62#2781C2214yescomplemented
63#2780C2214yes—
64#2780C2214yescomplemented
65#2779C2214yes—
66#2778C2214yes—
67#2772C2214yescomplemented
68#2770C2214yescomplemented
69#2761C2214yes—
70#2750C2214yescomplemented
71#2749C2214yes—
72#2741C2214yescomplemented
73#2739C2214yescomplemented
74#2725C2214yescomplemented
75#2711C2214yes—
76#2701C2214yes—
77#2691C2214yes—
78#2645C2212yescomplemented
79#2644C2212yescomplemented
80#2625C2212yes—
81#2624C2212yes—
82#2620C2212yescomplemented
83#2620C2212yescomplemented
84#2608C2214yes—
85#2606C2214yescomplemented
86#2600C2214yes—
87#2594C2214yes—
88#2594C2214yescomplemented
89#2593C2214yescomplemented
90#2590C2214yescomplemented
91#2587C2214yes—
92#2587C2214yescomplemented
93#2585C2214yescomplemented
94#2579C2214yes—
95#2578C2214yescomplemented
96#2570C2212yescomplemented
97#2570C2212yescomplemented
98#2569C2214yescomplemented
99#2566C2214yes—
100#2562C2214yescomplemented
101#2559C2214yescomplemented
102#2558C2214yes—
103#2554C2214yes—
104#2552C2212yescomplemented
105#2552C2212yescomplemented
106#2543C2214yes—
107#2538C2212yes—
108#2538C2212yes—
109#2538C2212yescomplemented
110#2538C2212yescomplemented
111#2537C2212yes—
112#2537C2212yes—
113#2537C2212yescomplemented
114#2537C2212yescomplemented
115#2536C2212yes—
116#2536C2212yes—
117#2535C2212yes—
118#2535C2212yes—
119#2531C2214yescomplemented
120#2526C2214yes—
121#2525C2214yes—
122#2518C2214yes—
123#2515C2214yescomplemented
124#2510C2214yes—
125#2509C2214yescomplemented
126#2507C2212yescomplemented
127#2507C2212yescomplemented
128#2506C2212yescomplemented
129#2506C2212yescomplemented
130#2498C2214yes—
131#2497C2212yes—
132#2497C2212yes—
133#2497C2212yes—
134#2497C2212yes—
135#2497C2212yes—
136#2497C2212yes—
137#2497C2212yes—
138#2497C2212yes—
139#2497C2212yescomplemented
140#2496C2212yescomplemented
141#2495C2212yescomplemented
142#2494C2212yescomplemented
143#2490C2214yes—
144#2487C2212yes—
145#2487C2212yescomplemented
146#2486C2212yes—
147#2486C2212yescomplemented
148#2485C2212yes—
149#2485C2212yes—
150#2485C2212yescomplemented
151#2485C2212yescomplemented
152#2481C2214yes—
153#2476C2214yes—
154#2476C2214yescomplemented
155#2473C2214yes—
156#2473C2214yes—
157#2464C2214yes—
158#2460C2214yescomplemented
159#2457C2214yes—
160#2456C2214yes—
161#2448C2212yescomplemented
162#2447C2212yescomplemented
163#2446C2212yescomplemented
164#2445C2212yescomplemented
165#2444C2214yes—
166#2444C2214yescomplemented
167#2443C2214yes—
168#2443C2214yescomplemented
169#2441C2214yescomplemented
170#2429C2211yescharacteristic
171#2429C2211yescharacteristic
172#2428C2211yescharacteristic
173#2428C2211yescharacteristic
174#2427C2211yescharacteristic
175#2427C2211yescharacteristic
176#2426C2211yescharacteristic
177#2426C2211yescharacteristic
178#2425C2212yes—
179#2425C2214yes—
180#2425C2214yes—
181#2425C2212yes—
182#2424C2212yes—
183#2424C2214yes—
184#2424C2214yes—
185#2424C2212yes—
186#2417C2212yes—
187#2417C2212yes—
188#2416C2214yes—
189#2416C2214yes—
190#2416C2214yes—
191#2416C2212yes—
192#2416C2212yes—
193#2415C2212yes—
194#2415C2212yes—
195#2414C2212yes—
196#2414C2212yes—
197#2412C2214yes—
198C2×#400C2212yes—
199#2392C2212yes—
200#2392C2212yes—
201C2×#396C2212yes—
202#2374C2214yescomplemented
203#2364C2214yes—
204#2363C2214yes—
205#2363C2211yescharacteristic
206#2363C2211yescharacteristic
207#2363C2212yescomplemented
208#2363C2212yescomplemented
209#2363C2212yescomplemented
210#2362C2211yescharacteristic
211#2362C2211yescharacteristic
212#2362C2212yescomplemented
213#2362C2212yescomplemented
214#2362C2212yescomplemented
215#2361C2214yes—
216#2361C2211yescharacteristic
217#2361C2211yescharacteristic
218#2361C2212yescomplemented
219#2361C2212yescomplemented
220#2361C2212yescomplemented
221#2360C2211yescharacteristic
222#2360C2211yescharacteristic
223#2360C2212yescomplemented
224#2360C2212yescomplemented
225#2360C2212yescomplemented
226#2359C2212yes—
227#2359C2214yes—
228#2359C2212yes—
229#2358C2212yes—
230#2358C2214yes—
231#2358C2212yes—
232#2354C2212yes—
233#2353C2214yes—
234#2352C2212yes—
235#2352C2212yes—
236#2351C2212yescomplemented
237Q8×C4⋊C4C2212yescomplemented
238#2349C2214yes—
239#2349C2212yescomplemented
240D4×C4⋊C4C2214yes—
241D4×C4⋊C4C2212yes—
242D4×C4⋊C4C2212yescomplemented
243#2345C2214yescomplemented
244#2325C2214yes—
245#2324C2212yes—
246#2324C2212yescomplemented
247#2323C2212yes—
248#2323C2212yescomplemented
249#2320C2212yescomplemented
250#2319C2212yescomplemented
251#2318C2214yes—
252#2317C2211yescharacteristic
253#2317C2211yescharacteristic
254#2317C2211yescharacteristic
255#2317C2212yescomplemented
256#2316C2211yescharacteristic
257#2316C2211yescharacteristic
258#2316C2212yescomplemented
259#2314C2212yescomplemented
260#2314C2212yescomplemented
261#2311C2211yescharacteristic
262#2311C2211yescharacteristic
263#2311C2211yescharacteristic
264#2311C2211yescharacteristic
265#2311C2211yescharacteristic
266C4×C22⋊Q8C2212yes—
267C4×C22⋊Q8C2212yescomplemented
268C4×#121C2212yes—
269C4×#121C2214yes—
270C4×#121C2212yes—
271C4×#121C2212yes—
272C4×#121C2212yescomplemented
273#2297C2211yescharacteristic
274#2297C2211yescharacteristic
275#2296C2211yescharacteristic
276#2296C2211yescharacteristic
277#2296C2212yescomplemented
278#2295C2212yescomplemented
279#2293C2212yes—
280#2293C2212yescomplemented
281C2×#389C2211yescharacteristic
282C2×#389C2211yescharacteristic
283C2×#389C2212yescomplemented
284#2290C2214yes—
285#2290C2212yes—
286#2290C2212yes—
287C2×#388C2212yes—
288C2×#387C2212yes—
289#2285C2212yescomplemented
290C2×#384C2211yescharacteristic
291#2283C2212yescomplemented
292C2×#380C2211yescharacteristic
293C2×#380C2211yescharacteristic
294#2274C2211yescharacteristic
295C42×D4C2212yes—
296C4×#117C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C22⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C22×#41C2311yescharacteristic
302C24×C4C2311yescharacteristic
303#537—28no—
304#537—28no—
305#532—44no—
306C2×C4⋊Q8C2311yescharacteristic
307C2×#127C2311yescharacteristic
308C2×#126C2314yes—
309C2×#125C2314yes—
310C2×#125C2314yes—
311C2×#124C2311yescharacteristic
312C2×#124C2311yescharacteristic
313#525—28no—
314#525—28no—
315#525—44no—
316C2×#123C2312yes—
317C2×#123C2312yes—
318C2×#123C2314yes—
319C2×#123C2312yes—
320C2×#123C2314yes—
321C2×C22⋊Q8C2311yescharacteristic
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2311yescharacteristic
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2311yescharacteristic
328C2×C22⋊Q8C2311yescharacteristic
329C2×C22⋊Q8C2311yescharacteristic
330C2×C22⋊Q8C2311yescharacteristic
331C2×#121C2311yescharacteristic
332C2×#121C2312yes—
333C2×#121C2314yes—
334C2×#121C2312yes—
335C2×#121C2312yes—
336C2×#121C2311yescharacteristic
337C2×#121C2314yes—
338C2×#121C2312yes—
339C2×#121C2311yescharacteristic
340C2×#121C2312yes—
341C2×#121C2311yescharacteristic
342C2×#121C2311yescharacteristic
343C2×#121C2311yescharacteristic
344C2×#121C2312yes—
345C2×#121C2312yes—
346C2×#121C2312yes—
347C2×#121C2314yes—
348C2×#121C2314yes—
349C2×#121C2314yes—
350C2×#121C2314yes—
351C2×#120C2312yes—
352C2×#120C2312yes—
353C2×#120C2312yes—
354#520—28no—
355#520—44no—
356#520—44no—
357C4×#41—28no—
358C4×#41—44no—
359C2×C4×Q8C2311yescharacteristic
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2311yescharacteristic
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2311yescharacteristic
364C2×C4×Q8C2312yes—
365C2×C4×Q8C2311yescharacteristic
366C2×C4×D4C2312yes—
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2312yes—
369C2×C4×D4C2314yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2314yes—
380C2×C4×D4C2314yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2312yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2311yescharacteristic
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2314yes—
391C2×C4×D4C2314yes—
392C2×C4×D4C2314yes—
393C2×#117—44no—
394C2×#117C2311yescharacteristic
395C2×#117C2311yescharacteristic
396C2×#117C2311yescharacteristic
397C2×#117C2312yes—
398C2×#117C2311yescharacteristic
399C2×#117C2312yes—
400C2×#117C2312yes—
401C2×#117C2312yes—
402C2×#117C2312yes—
403C2×#117C2311yescharacteristic
404C2×#117C2312yes—
405C2×#117C2311yescharacteristic
406C2×#117C2312yes—
407C2×#117C2314yes—
408C2×#117C2311yescharacteristic
409C22×C4⋊C4C2311yescharacteristic
410C22×C4⋊C4C2311yescharacteristic
411C22×C4⋊C4C2311yescharacteristic
412C22×C4⋊C4C2311yescharacteristic
413C22×C4⋊C4C2312yes—
414C22×C4⋊C4C2312yes—
415C22×C4⋊C4C2314yes—
416C22×C4⋊C4C2311yescharacteristic
417C22×C4⋊C4C2312yes—
418C22×C4⋊C4C2312yes—
419C22×C4⋊C4C2311yescharacteristic
420C22×C4⋊C4C2312yes—
421C22×C4⋊C4C2312yes—
422C22×C4⋊C4C2312yes—
423C22×C22⋊C4C2311yescharacteristic
424C22×C22⋊C4C2312yes—
425C22×C22⋊C4C2311yescharacteristic
426C22×C22⋊C4C2312yes—
427C22×C22⋊C4C2312yes—
428C22×C42C2311yescharacteristic
429C22×C42C2311yescharacteristic
430C22×C42C2312yes—
431C22×C42C2312yes—
432C22×C42C2312yes—
433C22×C42C2312yes—
434#401C2314yes—
435#400C2314yes—
436#400C2314yes—
437#400C2314yes—
438#400C2314yes—
439#400C2314yes—
440#400C2314yes—
441#400C2314yes—
442#400C2314yes—
443#400C2314yes—
444#400C2314yes—
445#400C2314yes—
446#399C2314yes—
447#399C2314yes—
448#398C2312yes—
449#398C2314yes—
450#398C2314yes—
451#398C2314yes—
452#398C2314yes—
453#398C2312yes—
454#398C2314yes—
455#398C2314yes—
456#398C2314yes—
457#398C2314yes—
458#398C2314yes—
459#398C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2312yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2312yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2312yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2312yes—
482#396C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#396C2314yes—
487#396C2312yes—
488#396C2312yes—
489#396C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2312yes—
494#394C2314yes—
495#394C2312yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2312yes—
501#394C2312yes—
502#394C2312yes—
503#394C2312yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#392C2314yes—
511#392C2312yes—
512#392C2312yes—
513#392C2314yes—
514#391C2312yes—
515#391C2312yes—
516#391C2312yes—
517#391C2312yes—
518#391C2312yes—
519#391C2311yescharacteristic
520#391C2311yescharacteristic
521#391C2311yescharacteristic
522#391C2311yescharacteristic
523#390C2312yes—
524#390C2314yes—
525#390C2312yes—
526#390C2312yes—
527#390C2312yes—
528#390C2312yes—
529#390C2312yes—
530#390C2314yes—
531#390C2311yescharacteristic
532#390C2314yes—
533#390C2314yes—
534#390C2314yes—
535#390C2311yescharacteristic
536#390C2312yes—
537#390C2312yes—
538#390C2311yescharacteristic
539#390C2311yescharacteristic
540#390C2314yes—
541#390C2314yes—
542#390C2312yes—
543#389C2311yescharacteristic
544#389C2311yescharacteristic
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2311yescharacteristic
554#389C2312yes—
555#389C2312yes—
556#389C2314yes—
557#389C2314yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2311yescharacteristic
564#389C2314yes—
565#389C2312yes—
566#389C2314yes—
567#389C2314yes—
568#389C2314yes—
569#389C2314yes—
570#389C2314yes—
571#389C2314yes—
572#389C2314yes—
573#389C2312yes—
574#389C2312yes—
575#389C2314yes—
576#389C2314yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2311yescharacteristic
582#389C2311yescharacteristic
583#389C2312yes—
584#389C2314yes—
585#389C2312yes—
586#389C2311yescharacteristic
587#389C2311yescharacteristic
588#389C2312yes—
589#389C2312yes—
590#388C2312yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2312yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2312yes—
608#388C2314yes—
609#388C2312yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2312yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2312yes—
623#388C2312yes—
624#388C2312yes—
625#388C2312yes—
626#388C2312yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2312yes—
631#388C2312yes—
632#388C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2312yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2312yes—
658#387C2314yes—
659#387C2314yes—
660#387C2312yes—
661#387C2312yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2312yes—
674#386C2312yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2312yes—
679#386C2314yes—
680#386C2312yes—
681#386C2312yes—
682#386C2312yes—
683#386C2312yes—
684#386C2314yes—
685#386C2312yes—
686#386C2314yes—
687#386C2312yes—
688#386C2312yes—
689#386C2312yes—
690#386C2312yes—
691#385C2312yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2312yes—
705#385C2314yes—
706#385C2312yes—
707#385C2314yes—
708#385C2312yes—
709#385C2312yes—
710#385C2312yes—
711#385C2312yes—
712#385C2312yes—
713#385C2314yes—
714#384C2314yes—
715#384C2312yes—
716#384C2312yes—
717#384C2312yes—
718#384C2312yes—
719#384C2312yes—
720#384C2312yes—
721#384C2312yes—
722#383C2314yes—
723#383C2314yes—
724#382C2314yes—
725#382C2312yes—
726#382C2312yes—
727#382C2312yes—
728#382C2314yes—
729#381C2314yes—
730#381C2314yes—
731#381C2314yes—
732#380C2312yes—
733#380C2314yes—
734#380C2314yes—
735#380C2314yes—
736#380C2312yes—
737#380C2312yes—
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746#380C2314yes—
747#380C2314yes—
748#380C2314yes—
749#380C2314yes—
750#380C2314yes—
751#380C2312yes—
752#380C2312yes—
753#380C2314yes—
754#380C2312yes—
755#380C2312yes—
756#380C2312yes—
757#380C2312yes—
758#380C2312yes—
759#380C2312yes—
760#380C2312yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2314yes—
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2311yescharacteristic
811#376C2312yes—
812#376C2314yes—
813C2×#95C2314yes—
814C2×#95C2312yes—
815C2×#95C2312yes—
816C2×#95C2311yescharacteristic
817C2×#95C2312yes—
818C2×#95C2311yescharacteristic
819C2×#95C2312yes—
820C2×#95C2312yes—
821C43C2312yes—
822C25C2411yescharacteristic
823C2×#41—24no—
824C2×#41—24no—
825C2×#41—24no—
826C2×#41—24no—
827C2×#41—24no—
828C2×#41—24no—
829C2×#41—24no—
830C2×#41—24no—
831C2×#41#4118yes—
832C22×Q8C2411yescharacteristic
833C22×Q8C2411yescharacteristic
834C22×Q8C2411yescharacteristic
835C22×D4C2412yes—
836C22×D4C2412yes—
837C22×D4C2411yescharacteristic
838C22×D4C2411yescharacteristic
839C22×D4C2412yes—
840C22×D4C2412yes—
841C22×D4C2412yes—
842C22×D4C2411yescharacteristic
843C22×D4C2412yes—
844C22×D4C2412yes—
845C22×D4C2412yes—
846C22×D4C2414yes—
847C22×D4C2414yes—
848C22×D4C2412yes—
849C22×D4C2412yes—
850C22×D4C2412yes—
851C23×C4—24no—
852C23×C4—24no—
853C23×C4—24no—
854C23×C4C2411yescharacteristic
855C23×C4C2412yes—
856C23×C4C2411yescharacteristic
857C23×C4C2411yescharacteristic
858C23×C4C2411yescharacteristic
859C23×C4C2412yes—
860C23×C4C2411yescharacteristic
861C23×C4C2411yescharacteristic
862C23×C4C2411yescharacteristic
863C23×C4C2411yescharacteristic
864C23×C4C2412yes—
865C23×C4C2412yes—
866C23×C4C2412yes—
867C23×C4C2412yes—
868C23×C4C2412yes—
869C23×C4C2412yes—
870C23×C4C2411yescharacteristic
871C23×C4C2412yes—
872C23×C4C2412yes—
873C23×C4C2414yes—
874C23×C4C2412yes—
875C23×C4C2412yes—
876C23×C4C2412yes—
877C23×C4C2414yes—
878C23×C4C2414yes—
879C23×C4C2411yescharacteristic
880C4⋊Q8—42no—
881#127—42no—
882#126—84no—
883#125—84no—
884#125—84no—
885#124—42no—
886#124—42no—
887#123—28no—
888#123—28no—
889#123—44no—
890#123—48no—
891#123—84no—
892C22⋊Q8—24no—
893C22⋊Q8—24no—
894C22⋊Q8—28no—
895C22⋊Q8—28no—
896C22⋊Q8—28no—
897C22⋊Q8—28no—
898C22⋊Q8—24no—
899C22⋊Q8—24no—
900C22⋊Q8—42no—
901C22⋊Q8—42no—
902#121—24no—
903#121—24no—
904#121—28no—
905#121—28no—
906#121—216no—
907#121—216no—
908#121—28no—
909#121—28no—
910#121—24no—
911#121—24no—
912#121—28no—
913#121—44no—
914#121—42no—
915#121—42no—
916#121—44no—
917#121—44no—
918#121—84no—
919#121—84no—
920#121—84no—
921#121—84no—
922#120—28no—
923#120—28no—
924#120—44no—
925C4×Q8—24no—
926C4×Q8—24no—
927C4×Q8—28no—
928C4×Q8—42no—
929C4×Q8—42no—
930C4×Q8—44no—
931C4×Q8—44no—
932C4×D4—28no—
933C4×D4—28no—
934C4×D4—24no—
935C4×D4—24no—
936C4×D4—28no—
937C4×D4—28no—
938C4×D4—216no—
939C4×D4—28no—
940C4×D4—28no—
941C4×D4—28no—
942C4×D4—28no—
943C4×D4—42no—
944C4×D4—42no—
945C4×D4—44no—
946C4×D4—44no—
947C4×D4—44no—
948C4×D4—44no—
949C4×D4—44no—
950C4×D4—44no—
951C4×D4—44no—
952C4×D4—44no—
953C4×D4—44no—
954C4×D4—48no—
955C4×D4—48no—
956C4×D4—84no—
957C4×D4—84no—
958C4×D4—84no—
959#117—24no—
960#117—24no—
961#117—24no—
962#117—24no—
963#117—28no—
964#117—28no—
965#117—44no—
966#117—44no—
967#117—44no—
968#117—42no—
969#117—42no—
970#117—44no—
971#117—44no—
972#117—84no—
973#117#4118yes—
974C2×C4⋊C4—24no—
975C2×C4⋊C4—24no—
976C2×C4⋊C4—24no—
977C2×C4⋊C4—24no—
978C2×C4⋊C4—28no—
979C2×C4⋊C4—48no—
980C2×C4⋊C4—44no—
981C2×C4⋊C4—42no—
982C2×C4⋊C4—42no—
983C2×C4⋊C4—44no—
984C2×C4⋊C4—44no—
985C2×C4⋊C4—82no—
986C2×C4⋊C4—82no—
987C2×C4⋊C4—82no—
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2411yescharacteristic
1050C2×C4⋊C4C2411yescharacteristic
1051C2×C22⋊C4—24no—
1052C2×C22⋊C4—42no—
1053C2×C22⋊C4—44no—
1054C2×C22⋊C4—82no—
1055C2×C22⋊C4—82no—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2411yescharacteristic
1059C2×C22⋊C4C2411yescharacteristic
1060C2×C22⋊C4C2411yescharacteristic
1061C2×C22⋊C4C2411yescharacteristic
1062C2×C22⋊C4C2411yescharacteristic
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
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⋊C4C2411yescharacteristic
1089C2×C22⋊C4C2411yescharacteristic
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2411yescharacteristic
1120C2×C42—24no—
1121C2×C42—24no—
1122C2×C42—28no—
1123C2×C42—44no—
1124C2×C42—44no—
1125C2×C42—82no—
1126C2×C42C2412yes—
1127C2×C42C2412yes—
1128C2×C42C2411yescharacteristic
1129C2×C42C2411yescharacteristic
1130C2×C42C2412yes—
1131C2×C42C2412yes—
1132C2×C42C2414yes—
1133C2×C42C2411yescharacteristic
1134C2×C42C2411yescharacteristic
1135C2×C42C2411yescharacteristic
1136C2×C42C2411yescharacteristic
1137C2×C42C2412yes—
1138C2×C42C2412yes—
1139C2×C42C2412yes—
1140C2×C42C2411yescharacteristic
1141C2×C42C2411yescharacteristic
1142C2×C42C2412yes—
1143C2×C42C2412yes—
1144C2×C42C2412yes—
1145C2×C42C2414yes—
1146C2×C42C2414yes—
1147C2×C42C2414yes—
1148C2×C42C2412yes—
1149C2×C42C2412yes—
1150C2×C42C2414yes—
1151C2×C42C2414yes—
1152C2×C42C2412yes—
1153C2×C42C2414yes—
1154C2×C42C2412yes—
1155C2×C42C2412yes—
1156#95C2412yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2411yescharacteristic
1160#95C2411yescharacteristic
1161#95C2411yescharacteristic
1162#95C2411yescharacteristic
1163#95C2414yes—
1164#95C2411yescharacteristic
1165#95C2411yescharacteristic
1166#95C2411yescharacteristic
1167#95C2411yescharacteristic
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2414yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2414yes—
1192#95C2412yes—
1193#95C2414yes—
1194#95C2412yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2412yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2414yes—
1204#95C2414yes—
1205#95C2412yes—
1206#95C2414yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2414yes—
1213#95C2414yes—
1214#95C2414yes—
1215#95C2414yes—
1216C24—22no—
1217C24—22no—
1218C24—22no—
1219C24—22no—
1220C24—41no—
1221C24—41no—
1222C24—41no—
1223C24C2511yescharacteristic
1224C24C2512yes—
1225C24C2512yes—
1226C24C2512yes—
1227C24C2511yescharacteristic
1228C24C2511yescharacteristic
1229#41—232no—
1230#41—416no—
1231#41—416no—
1232C2×Q8—22no—
1233C2×Q8—22no—
1234C2×Q8—22no—
1235C2×Q8—22no—
1236C2×Q8—22no—
1237C2×Q8—22no—
1238C2×Q8—22no—
1239C2×Q8—22no—
1240C2×Q8C2×#4114yes—
1241C2×D4—24no—
1242C2×D4—24no—
1243C2×D4—24no—
1244C2×D4—24no—
1245C2×D4—24no—
1246C2×D4—24no—
1247C2×D4—24no—
1248C2×D4—24no—
1249C2×D4—24no—
1250C2×D4—24no—
1251C2×D4—24no—
1252C2×D4—24no—
1253C2×D4—28no—
1254C2×D4—28no—
1255C2×D4—24no—
1256C2×D4—22no—
1257C2×D4—22no—
1258C2×D4—24no—
1259C2×D4—22no—
1260C2×D4—22no—
1261C2×D4—22no—
1262C2×D4—24no—
1263C2×D4—22no—
1264C2×D4—22no—
1265C2×D4—22no—
1266C2×D4—24no—
1267C2×D4—24no—
1268C2×D4—42no—
1269C2×D4—42no—
1270C2×D4—42no—
1271C2×D4—42no—
1272C2×D4—42no—
1273C2×D4—42no—
1274C2×D4—44no—
1275C2×D4—44no—
1276C2×D4—42no—
1277C2×D4—42no—
1278C2×D4—42no—
1279C2×D4—42no—
1280C2×D4—42no—
1281C2×D4—44no—
1282C2×D4—42no—
1283C2×D4—42no—
1284C2×D4—44no—
1285C2×D4—42no—
1286C2×D4—42no—
1287C2×D4C2×#4118yes—
1288C2×D4C2×#4114yes—
1289C22×C4—24no—
1290C22×C4—24no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—22no—
1296C22×C4—22no—
1297C22×C4—22no—
1298C22×C4—24no—
1299C22×C4—24no—
1300C22×C4—24no—
1301C22×C4—24no—
1302C22×C4—24no—
1303C22×C4—24no—
1304C22×C4—24no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—24no—
1310C22×C4—22no—
1311C22×C4—22no—
1312C22×C4—22no—
1313C22×C4—22no—
1314C22×C4—24no—
1315C22×C4—24no—
1316C22×C4—22no—
1317C22×C4—22no—
1318C22×C4—24no—
1319C22×C4—22no—
1320C22×C4—22no—
1321C22×C4—24no—
1322C22×C4—22no—
1323C22×C4—22no—
1324C22×C4—24no—
1325C22×C4—22no—
1326C22×C4—24no—
1327C22×C4—28no—
1328C22×C4—24no—
1329C22×C4—24no—
1330C22×C4—41no—
1331C22×C4—41no—
1332C22×C4—41no—
1333C22×C4—42no—
1334C22×C4—42no—
1335C22×C4—42no—
1336C22×C4—42no—
1337C22×C4—42no—
1338C22×C4—42no—
1339C22×C4—42no—
1340C22×C4—41no—
1341C22×C4—42no—
1342C22×C4—42no—
1343C22×C4—42no—
1344C22×C4—44no—
1345C22×C4—42no—
1346C22×C4—42no—
1347C22×C4—41no—
1348C22×C4—42no—
1349C22×C4—42no—
1350C22×C4—42no—
1351C22×C4—42no—
1352C22×C4—44no—
1353C22×C4—42no—
1354C22×C4—42no—
1355C22×C4—42no—
1356C22×C4—42no—
1357C22×C4—44no—
1358C22×C4—44no—
1359C22×C4—44no—
1360C22×C4—44no—
1361C22×C4—44no—
1362C22×C4—44no—
1363C22×C4—416no—
1364C22×C4C2×#4118yes—
1365C22×C4C2×#4114yes—
1366C22×C4C2×#4114yes—
1367C22×C4H(5,𝔽2)14yes—
1368C22×C4C2512yes—
1369C22×C4C2511yescharacteristic
1370C22×C4C2511yescharacteristic
1371C22×C4C2512yes—
1372C22×C4C2511yescharacteristic
1373C22×C4C2512yes—
1374C22×C4C2512yes—
1375C22×C4C2514yes—
1376C22×C4C2511yescharacteristic
1377C22×C4C2511yescharacteristic
1378C22×C4C2512yes—
1379C22×C4C2512yes—
1380C22×C4C2514yes—
1381C22×C4C2512yes—
1382C22×C4C2511yescharacteristic
1383C22×C4C2514yes—
1384C22×C4C2514yes—
1385C22×C4C2512yes—
1386C22×C4C2512yes—
1387C22×C4C2512yes—
1388C22×C4C2511yescharacteristic
1389C22×C4C2512yes—
1390C22×C4C2512yes—
1391C22×C4C2512yes—
1392C22×C4C2511yescharacteristic
1393C22×C4C2511yescharacteristic
1394C22×C4C2511yescharacteristic
1395C22×C4C2511yescharacteristic
1396C22×C4C2511yescharacteristic
1397C4⋊C4—24no—
1398C4⋊C4—28no—
1399C4⋊C4—24no—
1400C4⋊C4—24no—
1401C4⋊C4—24no—
1402C4⋊C4—24no—
1403C4⋊C4—24no—
1404C4⋊C4—24no—
1405C4⋊C4—24no—
1406C4⋊C4—22no—
1407C4⋊C4—22no—
1408C4⋊C4—24no—
1409C4⋊C4—24no—
1410C4⋊C4—24no—
1411C4⋊C4—24no—
1412C4⋊C4—28no—
1413C4⋊C4—28no—
1414C4⋊C4—24no—
1415C4⋊C4—24no—
1416C4⋊C4—22no—
1417C4⋊C4—22no—
1418C4⋊C4—22no—
1419C4⋊C4—22no—
1420C4⋊C4—22no—
1421C4⋊C4—22no—
1422C4⋊C4—24no—
1423C4⋊C4—24no—
1424C4⋊C4—24no—
1425C4⋊C4—28no—
1426C4⋊C4—24no—
1427C4⋊C4—44no—
1428C4⋊C4—44no—
1429C4⋊C4—44no—
1430C4⋊C4—42no—
1431C4⋊C4—42no—
1432C4⋊C4—44no—
1433C4⋊C4—44no—
1434C4⋊C4—44no—
1435C4⋊C4—44no—
1436C4⋊C4—44no—
1437C4⋊C4—44no—
1438C4⋊C4—44no—
1439C4⋊C4—44no—
1440C4⋊C4—42no—
1441C4⋊C4—42no—
1442C4⋊C4—44no—
1443C4⋊C4—44no—
1444C4⋊C4—42no—
1445C4⋊C4—42no—
1446C4⋊C4—42no—
1447C4⋊C4—42no—
1448C4⋊C4—44no—
1449C4⋊C4—44no—
1450C4⋊C4—44no—
1451C4⋊C4—44no—
1452C4⋊C4—44no—
1453C4⋊C4—42no—
1454C4⋊C4—42no—
1455C4⋊C4—42no—
1456C4⋊C4—42no—
1457C4⋊C4—44no—
1458C4⋊C4C2×#4114yes—
1459C4⋊C4C2×#4114yes—
1460C22⋊C4—24no—
1461C22⋊C4—24no—
1462C22⋊C4—24no—
1463C22⋊C4—28no—
1464C22⋊C4—28no—
1465C22⋊C4—24no—
1466C22⋊C4—24no—
1467C22⋊C4—24no—
1468C22⋊C4—22no—
1469C22⋊C4—24no—
1470C22⋊C4—24no—
1471C22⋊C4—28no—
1472C22⋊C4—24no—
1473C22⋊C4—24no—
1474C22⋊C4—24no—
1475C22⋊C4—24no—
1476C22⋊C4—24no—
1477C22⋊C4—24no—
1478C22⋊C4—28no—
1479C22⋊C4—28no—
1480C22⋊C4—22no—
1481C22⋊C4—22no—
1482C22⋊C4—24no—
1483C22⋊C4—24no—
1484C22⋊C4—22no—
1485C22⋊C4—22no—
1486C22⋊C4—41no—
1487C22⋊C4—41no—
1488C22⋊C4—42no—
1489C22⋊C4—42no—
1490C22⋊C4—44no—
1491C22⋊C4—44no—
1492C22⋊C4—44no—
1493C22⋊C4—44no—
1494C22⋊C4—42no—
1495C22⋊C4—42no—
1496C22⋊C4—44no—
1497C22⋊C4—44no—
1498C22⋊C4—44no—
1499C22⋊C4—44no—
1500C22⋊C4—42no—
1501C22⋊C4—42no—
1502C22⋊C4—42no—
1503C22⋊C4—42no—
1504C22⋊C4—42no—
1505C22⋊C4—42no—
1506C22⋊C4—42no—
1507C22⋊C4—42no—
1508C22⋊C4—42no—
1509C22⋊C4—42no—
1510C22⋊C4—42no—
1511C22⋊C4—42no—
1512C22⋊C4—44no—
1513C22⋊C4—44no—
1514C22⋊C4—42no—
1515C22⋊C4—44no—
1516C22⋊C4—44no—
1517C22⋊C4—44no—
1518C22⋊C4—44no—
1519C22⋊C4—44no—
1520C22⋊C4—44no—
1521C22⋊C4—42no—
1522C22⋊C4C2×#4118yes—
1523C22⋊C42−1+414yes—
1524C42—22no—
1525C42—22no—
1526C42—22no—
1527C42—24no—
1528C42—22no—
1529C42—24no—
1530C42—24no—
1531C42—28no—
1532C42—22no—
1533C42—22no—
1534C42—22no—
1535C42—22no—
1536C42—24no—
1537C42—24no—
1538C42—24no—
1539C42—24no—
1540C42—42no—
1541C42—42no—
1542C42—42no—
1543C42—42no—
1544C42—44no—
1545C42—44no—
1546C42—44no—
1547C42—44no—
1548C42—42no—
1549C42—42no—
1550C42—44no—
1551C42—44no—
1552C42—42no—
1553C42C2×#4118yes—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—22no—
1559C23—21no—
1560C23—21no—
1561C23—22no—
1562C23—21no—
1563C23—22no—
1564C23—21no—
1565C23—22no—
1566C23—21no—
1567C23—21no—
1568C23—22no—
1569C23—22no—
1570C23—22no—
1571C23—21no—
1572C23—21no—
1573C23—22no—
1574C23—22no—
1575C23—22no—
1576C23—21no—
1577C23—22no—
1578C23—22no—
1579C23—21no—
1580C23—22no—
1581C23—22no—
1582C23—21no—
1583C23—22no—
1584C23—22no—
1585C23—22no—
1586C23—22no—
1587C23—22no—
1588C23—21no—
1589C23—21no—
1590C23—22no—
1591C23—44no—
1592C23—44no—
1593C23—44no—
1594C23—44no—
1595C23—82no—
1596C23—82no—
1597C23—82no—
1598C23C22×#4114yes—
1599C23C22×#4112yes—
1600C23C22×#4112yes—
1601C23C2×H(5,𝔽2)12yes—
1602C23C2×2−1+412yes—
1603C23C2611yescharacteristic
1604Q8—28no—
1605Q8—44no—
1606Q8—44no—
1607D4—216no—
1608D4—28no—
1609D4—48no—
1610D4—48no—
1611D4—48no—
1612D4—48no—
1613D4—44no—
1614D4—44no—
1615D4—84no—
1616D4—84no—
1617D4—84no—
1618D4—88no—
1619D4—88no—
1620D4—84no—
1621D4—84no—
1622D4—84no—
1623C2×C4—21no—
1624C2×C4—22no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—21no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—216no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—24no—
1643C2×C4—24no—
1644C2×C4—24no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—21no—
1661C2×C4—24no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—21no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—22no—
1670C2×C4—22no—
1671C2×C4—21no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—21no—
1675C2×C4—22no—
1676C2×C4—24no—
1677C2×C4—21no—
1678C2×C4—24no—
1679C2×C4—22no—
1680C2×C4—21no—
1681C2×C4—22no—
1682C2×C4—24no—
1683C2×C4—21no—
1684C2×C4—24no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—22no—
1688C2×C4—24no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—24no—
1692C2×C4—24no—
1693C2×C4—24no—
1694C2×C4—21no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—48no—
1700C2×C4—44no—
1701C2×C4—44no—
1702C2×C4—44no—
1703C2×C4—44no—
1704C2×C4—44no—
1705C2×C4—44no—
1706C2×C4—44no—
1707C2×C4—44no—
1708C2×C4—48no—
1709C2×C4—48no—
1710C2×C4—88no—
1711C2×C4—84no—
1712C2×C4—84no—
1713C2×C4—84no—
1714C2×C4—82no—
1715C2×C4—84no—
1716C2×C4—84no—
1717C2×C4—84no—
1718C2×C4—84no—
1719C2×C4—84no—
1720C2×C4—84no—
1721C2×C4—164no—
1722C2×C4—164no—
1723C2×C4#553116yes—
1724C2×C4C22×#4114yes—
1725C2×C4C22×#4114yes—
1726C2×C4C22×#4114yes—
1727C2×C4C22×#4112yes—
1728C2×C4C22×#4112yes—
1729C2×C4C22×#4112yes—
1730C2×C4C22×#4112yes—
1731C2×C4C2×H(5,𝔽2)12yes—
1732C2×C4C2×H(5,𝔽2)12yes—
1733C2×C4C2×2−1+412yes—
1734C2×C4C2×2−1+412yes—
1735C2×C4#58512yes—
1736C22—22no—
1737C22—22no—
1738C22—22no—
1739C22—22no—
1740C22—22no—
1741C22—22no—
1742C22—22no—
1743C22—22no—
1744C22—24no—
1745C22—24no—
1746C22—22no—
1747C22—24no—
1748C22—42no—
1749C22—41no—
1750C22—42no—
1751C22—41no—
1752C22—42no—
1753C22—41no—
1754C22—42no—
1755C22—41no—
1756C22—42no—
1757C22—41no—
1758C22—42no—
1759C22—42no—
1760C22—42no—
1761C22—41no—
1762C22—42no—
1763C22—42no—
1764C22—41no—
1765C22—42no—
1766C22—42no—
1767C22—41no—
1768C22—42no—
1769C22—42no—
1770C22—41no—
1771C22—42no—
1772C22—42no—
1773C22—41no—
1774C22—41no—
1775C22—42no—
1776C22—42no—
1777C22—88no—
1778C22C2×#55314yes—
1779C22C23×#4111yescharacteristic
1780C22C23×#4111yescharacteristic
1781C22C22×H(5,𝔽2)11yescharacteristic
1782C22C22×2−1+411yescharacteristic
1783C22C2×#58511yescharacteristic
1784C22H(7,𝔽2)11yescharacteristic
1785C22H(7,𝔽2)11yescharacteristic
1786C4—24no—
1787C4—22no—
1788C4—24no—
1789C4—22no—
1790C4—22no—
1791C4—24no—
1792C4—41no—
1793C4—44no—
1794C4—41no—
1795C4—41no—
1796C4—42no—
1797C4—44no—
1798C4—44no—
1799C4—42no—
1800C4—41no—
1801C4—42no—
1802C4—42no—
1803C4—42no—
1804C4—41no—
1805C4—42no—
1806C4—42no—
1807C4—44no—
1808C4—42no—
1809C4—41no—
1810C4—41no—
1811C4—42no—
1812C4—42no—
1813C4C2×#55314yes—
1814C4C2×#55314yes—
1815C2—24no—
1816C2—44no—
1817C2—42no—
1818C2—82no—
1819C2—82no—
1820C2—81no—
1821C2C22×#55311yescharacteristic
1822C2#6280511yescharacteristic
1823C2#6285811yescharacteristic
1824C2#6294411yescharacteristic
1825C2#6295711yescharacteristic
1826C2#6299411yescharacteristic
1827C2#6300011yescharacteristic
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. #59690C2semidirect
2. #59687C2semidirect
3. #59222C2semidirect
4. #59217C2semidirect
5. #59216C2semidirect
6. #59214C2semidirect
7. #45310C2semidirect
8. #45262C2semidirect
9. #45257C2semidirect
10. #45035C2semidirect
11. #43670C2semidirect
12. #43269C2semidirect
13. #39057C2semidirect
14. #39055C2semidirect
15. #38219C2semidirect
16. #38212C2semidirect
17. #38128C2semidirect
18. #38123C2semidirect
19. #36369C2semidirect
20. #36278C2semidirect
21. #35555C2semidirect
22. #35518C2semidirect
23. #35518C2semidirect
24. #35517C2semidirect
25. #35273C2semidirect
26. #35267C2semidirect
27. #35263C2semidirect
28. C2×#2497C2semidirect
29. #34743C2semidirect
30. #34274C2semidirect
31. #34267C2semidirect
32. #34250C2semidirect
33. #34202C2semidirect
34. #34136C2semidirect
35. #34060C2semidirect
48. #2863C22semidirect
49. #2860C22semidirect
50. #2857C22semidirect
51. #2856C22semidirect
56. #2800C22semidirect
57. #2796C22semidirect
59. #2793C22semidirect
60. #2787C22semidirect
62. #2781C22semidirect
64. #2780C22semidirect
67. #2772C22semidirect
68. #2770C22semidirect
70. #2750C22semidirect
72. #2741C22semidirect
73. #2739C22semidirect
74. #2725C22semidirect
78. #2645C22semidirect
79. #2644C22semidirect
82. #2620C22semidirect
83. #2620C22semidirect
85. #2606C22semidirect
88. #2594C22semidirect
89. #2593C22semidirect
90. #2590C22semidirect
92. #2587C22semidirect
93. #2585C22semidirect
95. #2578C22semidirect
96. #2570C22semidirect
97. #2570C22semidirect
98. #2569C22semidirect
100. #2562C22semidirect
101. #2559C22semidirect
104. #2552C22semidirect
105. #2552C22semidirect
109. #2538C22semidirect
110. #2538C22semidirect
113. #2537C22semidirect
114. #2537C22semidirect
119. #2531C22semidirect
123. #2515C22semidirect
125. #2509C22semidirect
126. #2507C22semidirect
127. #2507C22semidirect
128. #2506C22semidirect
129. #2506C22semidirect
139. #2497C22semidirect
140. #2496C22semidirect
141. #2495C22semidirect
142. #2494C22semidirect
145. #2487C22semidirect
147. #2486C22semidirect
150. #2485C22semidirect
151. #2485C22semidirect
154. #2476C22semidirect
158. #2460C22semidirect
161. #2448C22semidirect
162. #2447C22semidirect
163. #2446C22semidirect
164. #2445C22semidirect
166. #2444C22semidirect
168. #2443C22semidirect
169. #2441C22semidirect
202. #2374C22semidirect
207. #2363C22semidirect
208. #2363C22semidirect
209. #2363C22semidirect
212. #2362C22semidirect
213. #2362C22semidirect
214. #2362C22semidirect
218. #2361C22semidirect
219. #2361C22semidirect
220. #2361C22semidirect
223. #2360C22semidirect
224. #2360C22semidirect
225. #2360C22semidirect
236. #2351C22semidirect
237. Q8×C4⋊C4C22semidirect
239. #2349C22semidirect
242. D4×C4⋊C4C22semidirect
243. #2345C22semidirect
246. #2324C22semidirect
248. #2323C22semidirect
249. #2320C22semidirect
250. #2319C22semidirect
255. #2317C22semidirect
258. #2316C22semidirect
259. #2314C22semidirect
260. #2314C22semidirect
267. C4×C22⋊Q8C22semidirect
272. C4×#121C22semidirect
277. #2296C22semidirect
278. #2295C22semidirect
280. #2293C22semidirect
283. C2×#389C22semidirect
289. #2285C22semidirect
291. #2283C22semidirect

Maximal subgroups

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

subgroupindex
#596902
#596872
#592222
#592172
#592162
#592142
#453102
#452622
#452572
#450352
#436702
#432692
#390572
#390552
#382192
#382122
#381282
#381232
#363692
#362782
#355552
#355182
#355172
#352732
#352672
#352632
C2×#24972
#347432
#342742
#342672
#342502
#342022
#341362
#340602