Finite Group Databasebeta

← #8458941

Subgroups — #8458941

Order 512.

5816 conjugacy classes of subgroups.

The subgroup lattice has 1922 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59647C211yesmaximal, characteristic, complemented
2#59124C211yesmaximal, characteristic, complemented
3#59051C211yesmaximal, characteristic, complemented
4#58902C214yesmaximal, complemented
5#57200C214yesmaximal, complemented
6#56512C214yesmaximal, complemented
7#53059C212yesmaximal, complemented
8#52971C212yesmaximal, complemented
9#49873C214yesmaximal, complemented
10#46010C212yesmaximal, complemented
11#45593C212yesmaximal, complemented
12#45002C212yesmaximal, complemented
13#44886C212yesmaximal, complemented
14#42616C212yesmaximal, complemented
15#42603C212yesmaximal, complemented
16#42438C212yesmaximal, complemented
17#42432C212yesmaximal, complemented
18#40050C212yesmaximal, complemented
19#39386C212yesmaximal, complemented
20#39352C211yesmaximal, characteristic, complemented
21#39340C211yesmaximal, characteristic, complemented
22#39138C211yesmaximal, characteristic, complemented
23#39138C212yesmaximal, complemented
24#38956C211yesmaximal, characteristic, complemented
25#37786C212yesmaximal, complemented
26#37616C211yesmaximal, characteristic, complemented
27#37343C212yesmaximal, complemented
28#37300C212yesmaximal, complemented
29#36450C211yesmaximal, characteristic, complemented
30#36121C211yesmaximal, characteristic, complemented
31#36115C211yesmaximal, characteristic, complemented
32#35274C211yesmaximal, characteristic, complemented
33#35171C211yesmaximal, characteristic, complemented
34#34889C211yesmaximal, characteristic, complemented
35#34797C211yesmaximal, characteristic, complemented
36C2×#550C2211yescharacteristic
37C2×#550C2212yescomplemented
38C2×#547C2211yescharacteristic, complemented
39C2×#546C2212yes—
40C2×#546C2212yes—
41C2×#540C2212yescomplemented
42C2×#540C2212yescomplemented
43C2×#537C2212yes—
44C2×#535C2212yes—
45C2×#535C2212yes—
46C2×#532C2211yescharacteristic
47C2×#532C2211yescharacteristic
48C22×#127C2211yescharacteristic
49C2×#529C2212yescomplemented
50C2×#529C2211yescharacteristic, complemented
51#2867C2212yes—
52#2863C2212yescomplemented
53#2858C2211yescharacteristic
54#2858C2212yes—
55#2857C2211yescharacteristic
56#2856C2211yescharacteristic
57#2856C2212yescomplemented
58#2854C2212yescomplemented
59#2850C2212yescomplemented
60#2829C2214yescomplemented
61#2825C2214yescomplemented
62#2825C2214yescomplemented
63#2825C2214yescomplemented
64#2818C2214yescomplemented
65#2813C2214yescomplemented
66#2813C2214yescomplemented
67#2812C2214yes—
68#2797C2214yescomplemented
69#2780C2214yescomplemented
70#2778C2214yescomplemented
71#2757C2214yescomplemented
72#2756C2214yescomplemented
73#2749C2214yescomplemented
74#2730C2214yescomplemented
75#2730C2214yescomplemented
76#2717C2214yescomplemented
77#2715C2214yescomplemented
78#2714C2214yescomplemented
79#2714C2214yescomplemented
80#2714C2214yescomplemented
81#2709C2214yescomplemented
82#2709C2214yescomplemented
83#2709C2214yescomplemented
84#2706C2214yescomplemented
85#2706C2214yescomplemented
86#2706C2214yescomplemented
87#2703C2214yescomplemented
88#2703C2214yescomplemented
89#2703C2214yescomplemented
90#2697C2214yes—
91#2693C2214yescomplemented
92#2691C2214yescomplemented
93#2688C2214yescomplemented
94#2686C2214yescomplemented
95#2685C2214yes—
96#2678C2214yes—
97#2678C2214yes—
98#2676C2214yescomplemented
99#2673C2214yes—
100#2673C2214yescomplemented
101#2673C2214yescomplemented
102#2673C2214yescomplemented
103#2673C2214yescomplemented
104#2673C2214yescomplemented
105#2673C2214yescomplemented
106#2673C2214yescomplemented
107#2673C2214yescomplemented
108#2673C2214yescomplemented
109#2673C2214yescomplemented
110#2672C2214yescomplemented
111#2671C2214yes—
112#2671C2214yescomplemented
113#2669C2214yes—
114#2669C2214yes—
115#2668C2214yes—
116#2668C2214yes—
117#2661C2214yescomplemented
118#2657C2214yes—
119#2651C2214yescomplemented
120#2636C2214yescomplemented
121#2630C2214yescomplemented
122#2624C2212yescomplemented
123#2622C2214yes—
124#2620C2212yescomplemented
125#2620C2212yescomplemented
126#2620C2212yescomplemented
127#2619C2214yescomplemented
128#2619C2212yescomplemented
129#2619C2212yescomplemented
130#2619C2212yescomplemented
131#2617C2214yes—
132#2616C2212yes—
133#2600C2214yescomplemented
134#2577C2214yes—
135#2568C2211yescharacteristic, complemented
136#2566C2212yescomplemented
137#2559C2212yes—
138#2557C2212yescomplemented
139#2552C2211yescharacteristic, complemented
140#2550C2211yescharacteristic, complemented
141#2548C2211yescharacteristic
142#2544C2212yes—
143#2544C2211yescharacteristic, complemented
144#2544C2212yescomplemented
145#2544C2212yescomplemented
146#2542C2211yescharacteristic, complemented
147#2541C2211yescharacteristic
148#2541C2212yes—
149#2541C2211yescharacteristic
150#2541C2212yes—
151#2541C2211yescharacteristic
152#2541C2211yescharacteristic
153#2541C2212yes—
154#2541C2211yescharacteristic
155#2541C2214yescomplemented
156#2541C2212yescomplemented
157#2541C2214yescomplemented
158#2541C2212yescomplemented
159#2541C2212yescomplemented
160#2540C2211yescharacteristic
161#2537C2212yes—
162#2537C2211yescharacteristic, complemented
163#2537C2212yescomplemented
164#2535C2211yescharacteristic
165#2535C2212yescomplemented
166#2535C2214yescomplemented
167#2531C2212yescomplemented
168#2529C2212yescomplemented
169#2528C2214yescomplemented
170#2521C2212yescomplemented
171#2518C2212yes—
172#2514C2212yescomplemented
173#2513C2212yescomplemented
174#2512C2212yescomplemented
175#2512C2211yescharacteristic, complemented
176#2507C2211yescharacteristic, complemented
177#2504C2212yescomplemented
178#2504C2212yescomplemented
179#2501C2212yescomplemented
180#2500C2211yescharacteristic
181#2499C2212yes—
182#2495C2211yescharacteristic, complemented
183#2494C2212yes—
184#2492C2211yescharacteristic, complemented
185#2490C2211yescharacteristic
186#2490C2212yescomplemented
187#2490C2212yescomplemented
188#2490C2212yescomplemented
189#2490C2211yescharacteristic, complemented
190#2489C2212yes—
191#2485C2211yescharacteristic
192#2474C2214yescomplemented
193#2471C2214yescomplemented
194#2467C2212yes—
195#2467C2214yescomplemented
196#2464C2212yes—
197#2464C2214yescomplemented
198#2461C2214yescomplemented
199#2456C2214yescomplemented
200#2454C2212yescomplemented
201#2447C2212yescomplemented
202#2445C2212yes—
203#2445C2212yes—
204#2445C2212yes—
205#2445C2212yescomplemented
206#2445C2214yescomplemented
207#2445C2212yescomplemented
208#2445C2214yescomplemented
209#2441C2211yescharacteristic
210#2440C2212yescomplemented
211#2435C2212yes—
212#2433C2212yes—
213#2433C2214yes—
214#2433C2212yes—
215#2433C2212yes—
216#2431C2212yes—
217#2431C2212yes—
218#2431C2212yescomplemented
219#2431C2212yescomplemented
220#2431C2212yescomplemented
221#2431C2212yescomplemented
222#2431C2212yescomplemented
223#2428C2212yes—
224#2428C2212yes—
225#2428C2212yes—
226#2428C2212yescomplemented
227#2428C2211yescharacteristic, complemented
228#2428C2212yescomplemented
229#2428C2212yescomplemented
230#2428C2212yescomplemented
231#2427C2211yescharacteristic
232#2427C2212yescomplemented
233#2427C2212yescomplemented
234#2427C2212yescomplemented
235#2426C2212yescomplemented
236#2426C2212yescomplemented
237#2424C2214yes—
238#2424C2214yes—
239#2422C2212yescomplemented
240#2422C2212yescomplemented
241#2420C2212yescomplemented
242#2418C2214yes—
243#2417C2212yescomplemented
244#2416C2212yes—
245#2416C2212yescomplemented
246#2416C2212yescomplemented
247#2414C2211yescharacteristic
248#2412C2214yes—
249#2411C2214yes—
250#2410C2214yes—
251#2408C2212yes—
252#2408C2212yes—
253#2408C2212yes—
254#2407C2212yescomplemented
255#2407C2212yescomplemented
256#2407C2212yescomplemented
257#2407C2212yescomplemented
258#2407C2212yescomplemented
259#2395C2212yes—
260#2395C2212yescomplemented
261#2392C2212yes—
262#2388C2212yes—
263#2380C2214yescomplemented
264#2366C2211yescharacteristic
265#2366C2212yescomplemented
266#2366C2212yescomplemented
267#2365C2211yescharacteristic, complemented
268#2362C2212yes—
269#2361C2212yescomplemented
270#2361C2212yescomplemented
271#2355C2212yescomplemented
272#2355C2211yescharacteristic, complemented
273#2354C2212yescomplemented
274D4×C4⋊C4C2211yescharacteristic, complemented
275D4×C22⋊C4C2212yes—
276D4×C22⋊C4C2212yes—
277D4×C22⋊C4C2212yes—
278#2324C2212yescomplemented
279#2324C2212yescomplemented
280#2324C2214yescomplemented
281#2311C2212yescomplemented
282C4×#127C2211yescharacteristic
283C4×#125C2211yescharacteristic, complemented
284C4×#125C2212yescomplemented
285C4×#126C2212yescomplemented
286C4×#124C2211yescharacteristic, complemented
287C4×C22⋊Q8C2211yescharacteristic
288C4×#121C2211yescharacteristic
289C4×#121C2212yescomplemented
290C4×#121C2211yescharacteristic, complemented
291C4×#121C2211yescharacteristic, complemented
292#2297C2212yes—
293#2293C2211yescharacteristic, complemented
294#2293C2212yescomplemented
295#2285C2211yescharacteristic, complemented
296C42×D4C2211yescharacteristic
297C42×D4C2211yescharacteristic, complemented
298C4×#117C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2312yes—
301C22×#41C2312yes—
302C22×#41C2312yes—
303C23×D4C2312yes—
304C23×D4C2312yes—
305C23×D4C2312yes—
306#550—44no—
307#550—48no—
308#547—44no—
309#546—48no—
310#546—48no—
311#540—48no—
312#540—48no—
313#537—48no—
314#535—48no—
315#535—48no—
316#532—44no—
317#532—44no—
318C2×C4⋊Q8C2311yescharacteristic
319C2×C4⋊Q8C2311yescharacteristic
320C2×#127—44no—
321C2×#127C2311yescharacteristic
322C2×#127C2311yescharacteristic
323C2×#127C2314yes—
324C2×#127C2312yes—
325C2×#127C2312yes—
326C2×#127C2311yescharacteristic
327C2×#127C2312yes—
328C2×#127C2312yes—
329C2×#127C2312yes—
330C2×#127C2312yes—
331C2×#127C2314yes—
332C2×#127C2314yes—
333C2×#127C2314yes—
334C2×#127C2312yes—
335C2×#127C2312yes—
336C2×#127C2312yes—
337C2×#127C2314yes—
338C2×#127C2314yes—
339#529—44no—
340#529—48no—
341C2×#126C2312yes—
342C2×#126C2312yes—
343C2×#126C2314yes—
344C2×#125C2311yescharacteristic
345C2×#125C2312yes—
346C2×#125C2311yescharacteristic
347C2×#124C2312yes—
348C2×#124C2314yes—
349C2×#124C2314yes—
350C2×#124C2312yes—
351C2×#124C2312yes—
352C2×#124C2312yes—
353C2×#124C2312yes—
354C2×#124C2311yescharacteristic
355C2×#124C2311yescharacteristic
356C2×#123C2314yes—
357C2×#123C2314yes—
358C2×#123C2314yes—
359C2×#123C2314yes—
360C2×#123C2314yes—
361C2×#123C2312yes—
362C2×#123C2314yes—
363C2×#123C2314yes—
364C2×#123C2314yes—
365C2×#123C2314yes—
366C2×C22⋊Q8C2312yes—
367C2×C22⋊Q8C2311yescharacteristic
368C2×C22⋊Q8C2312yes—
369C2×C22⋊Q8C2312yes—
370C2×C22⋊Q8C2312yes—
371C2×C22⋊Q8C2311yescharacteristic
372C2×C22⋊Q8C2314yes—
373C2×#121C2312yes—
374C2×#121C2312yes—
375C2×#121C2312yes—
376C2×#121C2311yescharacteristic
377C2×#121C2311yescharacteristic
378C2×#121C2311yescharacteristic
379C2×#121C2312yes—
380C2×#121C2314yes—
381C2×#121C2312yes—
382C2×#121C2312yes—
383C2×#121C2312yes—
384C2×#121C2312yes—
385C2×#121C2312yes—
386C2×#121C2312yes—
387C2×#121C2314yes—
388C2×#121C2314yes—
389C2×#121C2311yescharacteristic
390C2×#121C2312yes—
391C2×#121C2312yes—
392C2×#121C2314yes—
393C2×#121C2312yes—
394C2×#121C2312yes—
395C2×#121C2312yes—
396C2×#121C2314yes—
397C2×#121C2314yes—
398C2×#121C2314yes—
399C2×#121C2314yes—
400C2×#121C2314yes—
401C2×#121C2312yes—
402C2×#121C2311yescharacteristic
403C2×#121C2312yes—
404C2×#121C2312yes—
405C2×#121C2314yes—
406C2×#121C2314yes—
407C2×#121C2312yes—
408C2×#121C2314yes—
409C2×#121C2314yes—
410C2×#121C2311yescharacteristic
411C2×#121C2312yes—
412C2×#121C2312yes—
413C2×#121C2314yes—
414C2×#120C2314yes—
415C2×#120C2314yes—
416C2×#120C2314yes—
417C2×#120C2314yes—
418C2×#120C2314yes—
419C2×#120C2314yes—
420C2×#120C2314yes—
421C2×C4×Q8C2311yescharacteristic
422C2×C4×Q8C2312yes—
423C2×C4×D4C2311yescharacteristic
424C2×C4×D4C2312yes—
425C2×C4×D4C2311yescharacteristic
426C2×C4×D4C2311yescharacteristic
427C2×C4×D4C2311yescharacteristic
428C2×C4×D4C2311yescharacteristic
429C2×C4×D4C2312yes—
430C2×C4×D4C2312yes—
431C2×C4×D4C2312yes—
432C2×C4×D4C2312yes—
433C2×C4×D4C2314yes—
434C2×C4×D4C2312yes—
435C2×C4×D4C2312yes—
436C2×C4×D4C2312yes—
437C2×C4×D4C2314yes—
438C2×C4×D4C2312yes—
439C2×C4×D4C2312yes—
440C2×C4×D4C2311yescharacteristic
441C2×C4×D4C2312yes—
442C2×C4×D4C2312yes—
443C2×C4×D4C2312yes—
444C2×C4×D4C2311yescharacteristic
445C2×C4×D4C2311yescharacteristic
446C2×C4×D4C2312yes—
447C2×C4×D4C2314yes—
448C2×#117C2311yescharacteristic
449C2×#117C2311yescharacteristic
450C2×#117C2312yes—
451C2×#117C2314yes—
452C2×#117C2312yes—
453C2×#117C2312yes—
454C22×C4⋊C4C2312yes—
455C22×C4⋊C4C2312yes—
456C22×C22⋊C4C2314yes—
457C22×C22⋊C4C2314yes—
458C22×C42C2311yescharacteristic
459C22×C42C2311yescharacteristic
460C22×C42C2312yes—
461#401C2314yes—
462#400C2314yes—
463#400C2312yes—
464#400C2312yes—
465#400C2314yes—
466#399C2314yes—
467#399C2314yes—
468#399C2312yes—
469#399C2312yes—
470#399C2314yes—
471#398C2312yes—
472#398C2314yes—
473#398C2312yes—
474#398C2312yes—
475#398C2314yes—
476#397C2312yes—
477#397C2312yes—
478#397C2312yes—
479#397C2312yes—
480#397C2314yes—
481#397C2314yes—
482#397C2314yes—
483#397C2314yes—
484#397C2314yes—
485#397C2314yes—
486#397C2314yes—
487#397C2314yes—
488#397C2314yes—
489#397C2312yes—
490#397C2314yes—
491#397C2312yes—
492#397C2312yes—
493#397C2314yes—
494#397C2314yes—
495#396C2314yes—
496#396C2314yes—
497#396C2312yes—
498#396C2314yes—
499#396C2314yes—
500#396C2314yes—
501#396C2314yes—
502#396C2314yes—
503#396C2312yes—
504#396C2314yes—
505#395C2314yes—
506#395C2312yes—
507#394C2312yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2312yes—
529#394C2314yes—
530#394C2312yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#394C2314yes—
536#394C2312yes—
537#394C2314yes—
538#394C2314yes—
539#394C2314yes—
540#394C2312yes—
541#394C2312yes—
542#394C2312yes—
543#394C2312yes—
544#394C2312yes—
545#394C2312yes—
546#394C2314yes—
547#394C2314yes—
548#394C2314yes—
549#394C2314yes—
550#394C2314yes—
551#393C2312yes—
552#392C2314yes—
553#392C2314yes—
554#392C2314yes—
555#392C2314yes—
556#392C2314yes—
557#392C2314yes—
558#392C2314yes—
559#392C2314yes—
560#392C2314yes—
561#392C2314yes—
562#392C2314yes—
563#392C2314yes—
564#392C2314yes—
565#392C2314yes—
566#392C2314yes—
567#392C2314yes—
568#392C2312yes—
569#392C2314yes—
570#392C2314yes—
571#392C2314yes—
572#392C2314yes—
573#392C2314yes—
574#392C2314yes—
575#392C2314yes—
576#392C2312yes—
577#392C2312yes—
578#392C2312yes—
579#392C2314yes—
580#392C2314yes—
581#392C2314yes—
582#392C2314yes—
583#392C2314yes—
584#392C2314yes—
585#392C2314yes—
586#392C2314yes—
587#391C2311yescharacteristic
588#391C2312yes—
589#391C2312yes—
590#391C2312yes—
591#391C2312yes—
592#391C2312yes—
593#391C2311yescharacteristic
594#391C2312yes—
595#391C2312yes—
596#391C2312yes—
597#390C2312yes—
598#390C2312yes—
599#390C2312yes—
600#390C2312yes—
601#390C2312yes—
602#390C2312yes—
603#390C2312yes—
604#390C2314yes—
605#390C2312yes—
606#390C2314yes—
607#390C2314yes—
608#390C2314yes—
609#390C2314yes—
610#390C2312yes—
611#390C2312yes—
612#390C2312yes—
613#390C2312yes—
614#390C2312yes—
615#390C2312yes—
616#390C2311yescharacteristic
617#390C2312yes—
618#390C2312yes—
619#390C2312yes—
620#390C2312yes—
621#390C2314yes—
622#390C2312yes—
623#390C2311yescharacteristic
624#390C2311yescharacteristic
625#390C2312yes—
626#390C2312yes—
627#390C2312yes—
628#390C2314yes—
629#390C2314yes—
630#390C2311yescharacteristic
631#390C2312yes—
632#390C2314yes—
633#390C2312yes—
634#390C2311yescharacteristic
635#390C2312yes—
636#390C2311yescharacteristic
637#390C2312yes—
638#389C2311yescharacteristic
639#389C2312yes—
640#389C2311yescharacteristic
641#389C2311yescharacteristic
642#389C2311yescharacteristic
643#389C2312yes—
644#389C2312yes—
645#389C2311yescharacteristic
646#389C2312yes—
647#389C2312yes—
648#389C2312yes—
649#389C2312yes—
650#389C2311yescharacteristic
651#389C2311yescharacteristic
652#389C2311yescharacteristic
653#389C2312yes—
654#389C2312yes—
655#388C2312yes—
656#388C2312yes—
657#388C2312yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2312yes—
668#388C2314yes—
669#388C2314yes—
670#388C2312yes—
671#388C2312yes—
672#388C2312yes—
673#388C2312yes—
674#388C2312yes—
675#388C2312yes—
676#388C2312yes—
677#388C2312yes—
678#388C2312yes—
679#388C2312yes—
680#388C2312yes—
681#388C2312yes—
682#387C2312yes—
683#387C2312yes—
684#387C2312yes—
685#387C2314yes—
686#387C2312yes—
687#387C2314yes—
688#387C2312yes—
689#387C2314yes—
690#387C2314yes—
691#387C2314yes—
692#387C2314yes—
693#387C2314yes—
694#387C2314yes—
695#387C2312yes—
696#386C2314yes—
697#386C2314yes—
698#386C2312yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2314yes—
715#386C2314yes—
716#386C2314yes—
717#386C2314yes—
718#386C2314yes—
719#386C2314yes—
720#386C2314yes—
721#386C2314yes—
722#386C2314yes—
723#386C2314yes—
724#386C2312yes—
725#386C2314yes—
726#386C2314yes—
727#386C2314yes—
728#386C2314yes—
729#386C2314yes—
730#386C2314yes—
731#386C2314yes—
732#386C2312yes—
733#386C2312yes—
734#386C2312yes—
735#386C2312yes—
736#386C2312yes—
737#386C2312yes—
738#386C2312yes—
739#385C2314yes—
740#385C2314yes—
741#385C2312yes—
742#385C2314yes—
743#385C2314yes—
744#385C2314yes—
745#385C2314yes—
746#385C2314yes—
747#385C2314yes—
748#385C2314yes—
749#384C2311yescharacteristic
750#384C2312yes—
751#384C2312yes—
752#384C2311yescharacteristic
753#384C2311yescharacteristic
754#383C2312yes—
755#383C2314yes—
756#382C2312yes—
757#382C2311yescharacteristic
758#382C2312yes—
759#382C2314yes—
760#382C2312yes—
761#382C2311yescharacteristic
762#381C2314yes—
763#380C2314yes—
764#380C2314yes—
765#380C2312yes—
766#380C2312yes—
767#380C2312yes—
768#380C2314yes—
769#380C2311yescharacteristic
770#380C2312yes—
771#380C2312yes—
772#380C2314yes—
773#380C2311yescharacteristic
774#380C2314yes—
775#380C2311yescharacteristic
776#380C2311yescharacteristic
777#380C2311yescharacteristic
778#380C2311yescharacteristic
779#380C2312yes—
780#380C2312yes—
781#379C2314yes—
782#379C2314yes—
783#379C2314yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2314yes—
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2314yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2311yescharacteristic
801C4×C4⋊C4C2311yescharacteristic
802C4×C4⋊C4C2311yescharacteristic
803C4×C4⋊C4C2311yescharacteristic
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2311yescharacteristic
818C4×C22⋊C4C2311yescharacteristic
819C4×C22⋊C4C2311yescharacteristic
820C4×C22⋊C4C2311yescharacteristic
821C4×C22⋊C4C2312yes—
822#376C2312yes—
823C43C2312yes—
824C43C2311yescharacteristic
825C25C2414yes—
826C2×#41—28no—
827C2×#41—44no—
828C2×#41—44no—
829C2×#41—44no—
830C2×#41—44no—
831C2×#41—44no—
832C2×#41—44no—
833C2×#41—44no—
834C2×#41—44no—
835C2×#41—44no—
836C2×#41—44no—
837C2×#41—44no—
838C22×Q8C2412yes—
839C22×Q8C2411yescharacteristic
840C22×Q8C2412yes—
841C22×D4—28no—
842C22×D4—44no—
843C22×D4—44no—
844C22×D4—44no—
845C22×D4—44no—
846C22×D4—44no—
847C22×D4—44no—
848C22×D4—44no—
849C22×D4—82no—
850C22×D4C2411yescharacteristic
851C22×D4C2411yescharacteristic
852C22×D4C2412yes—
853C22×D4C2412yes—
854C22×D4C2412yes—
855C22×D4C2411yescharacteristic
856C22×D4C2412yes—
857C22×D4C2411yescharacteristic
858C22×D4C2412yes—
859C22×D4C2412yes—
860C22×D4C2414yes—
861C22×D4C2414yes—
862C22×D4C2414yes—
863C22×D4C2412yes—
864C22×D4C2412yes—
865C22×D4C2412yes—
866C22×D4C2412yes—
867C22×D4C2412yes—
868C22×D4C2412yes—
869C22×D4C2412yes—
870C22×D4C2414yes—
871C22×D4C2414yes—
872C22×D4C2412yes—
873C22×D4C2414yes—
874C22×D4C2414yes—
875C22×D4C2414yes—
876C22×D4C2414yes—
877C22×D4C2414yes—
878C22×D4C2414yes—
879C22×D4C2414yes—
880C22×D4C2414yes—
881C22×D4C2414yes—
882C22×D4C2414yes—
883C22×D4C2414yes—
884C22×D4C2414yes—
885C22×D4C2414yes—
886C22×D4C2414yes—
887C23×C4C2412yes—
888C23×C4C2412yes—
889C23×C4C2411yescharacteristic
890C23×C4C2412yes—
891C23×C4C2411yescharacteristic
892C23×C4C2411yescharacteristic
893C23×C4C2411yescharacteristic
894C23×C4C2411yescharacteristic
895C23×C4C2414yes—
896C23×C4C2412yes—
897C23×C4C2411yescharacteristic
898C23×C4C2414yes—
899C23×C4C2414yes—
900C23×C4C2414yes—
901C23×C4C2414yes—
902C23×C4C2414yes—
903C23×C4C2412yes—
904C4⋊Q8—24no—
905C4⋊Q8—42no—
906#127—24no—
907#127—24no—
908#127—44no—
909#127—44no—
910#127—44no—
911#127—44no—
912#127—44no—
913#127—48no—
914#127—42no—
915#127—48no—
916#127—48no—
917#127—44no—
918#127—44no—
919#127—44no—
920#127—44no—
921#127—48no—
922#127—84no—
923#127—84no—
924#126—44no—
925#126—44no—
926#126—48no—
927#125—24no—
928#125—28no—
929#125—42no—
930#124—44no—
931#124—48no—
932#124—42no—
933#124—42no—
934#124—44no—
935#124—44no—
936#124—48no—
937#124—44no—
938#124—44no—
939#123—48no—
940#123—48no—
941#123—48no—
942#123—48no—
943#123—44no—
944#123—48no—
945#123—48no—
946#123—48no—
947#123—48no—
948#123—84no—
949C22⋊Q8—28no—
950C22⋊Q8—24no—
951C22⋊Q8—48no—
952C22⋊Q8—42no—
953C22⋊Q8—44no—
954C22⋊Q8—44no—
955C22⋊Q8—44no—
956#121—24no—
957#121—28no—
958#121—28no—
959#121—24no—
960#121—28no—
961#121—24no—
962#121—44no—
963#121—44no—
964#121—48no—
965#121—48no—
966#121—48no—
967#121—48no—
968#121—48no—
969#121—48no—
970#121—48no—
971#121—48no—
972#121—48no—
973#121—48no—
974#121—44no—
975#121—42no—
976#121—42no—
977#121—44no—
978#121—42no—
979#121—44no—
980#121—44no—
981#121—44no—
982#121—44no—
983#121—44no—
984#121—44no—
985#121—44no—
986#121—44no—
987#121—48no—
988#121—48no—
989#121—44no—
990#121—44no—
991#121—44no—
992#121—48no—
993#121—44no—
994#121—44no—
995#121—84no—
996#121—82no—
997#120—48no—
998#120—48no—
999#120—48no—
1000#120—48no—
1001#120—48no—
1002#120—48no—
1003#120—84no—
1004C4×Q8—28no—
1005C4×Q8—24no—
1006C4×D4—24no—
1007C4×D4—24no—
1008C4×D4—28no—
1009C4×D4—24no—
1010C4×D4—24no—
1011C4×D4—24no—
1012C4×D4—48no—
1013C4×D4—42no—
1014C4×D4—44no—
1015C4×D4—48no—
1016C4×D4—44no—
1017C4×D4—44no—
1018C4×D4—44no—
1019C4×D4—44no—
1020C4×D4—44no—
1021C4×D4—44no—
1022C4×D4—42no—
1023C4×D4—44no—
1024C4×D4—44no—
1025C4×D4—44no—
1026C4×D4—44no—
1027C4×D4—44no—
1028C4×D4—42no—
1029C4×D4—82no—
1030C4×D4—84no—
1031#117—24no—
1032#117—24no—
1033#117—44no—
1034#117—44no—
1035#117—44no—
1036#117—48no—
1037C2×C4⋊C4—44no—
1038C2×C4⋊C4—44no—
1039C2×C4⋊C4C2411yescharacteristic
1040C2×C4⋊C4C2411yescharacteristic
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2411yescharacteristic
1045C2×C4⋊C4C2411yescharacteristic
1046C2×C4⋊C4C2411yescharacteristic
1047C2×C4⋊C4C2411yescharacteristic
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2411yescharacteristic
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2411yescharacteristic
1052C2×C4⋊C4C2411yescharacteristic
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2411yescharacteristic
1055C2×C4⋊C4C2411yescharacteristic
1056C2×C4⋊C4C2411yescharacteristic
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2414yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2414yes—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2414yes—
1063C2×C4⋊C4C2414yes—
1064C2×C4⋊C4C2414yes—
1065C2×C4⋊C4C2414yes—
1066C2×C4⋊C4C2414yes—
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2412yes—
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2411yescharacteristic
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2414yes—
1082C2×C4⋊C4C2414yes—
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2411yescharacteristic
1087C2×C4⋊C4C2411yescharacteristic
1088C2×C22⋊C4—48no—
1089C2×C22⋊C4—48no—
1090C2×C22⋊C4C2411yescharacteristic
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2411yescharacteristic
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2411yescharacteristic
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2411yescharacteristic
1140C2×C22⋊C4C2411yescharacteristic
1141C2×C22⋊C4C2411yescharacteristic
1142C2×C22⋊C4C2412yes—
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2414yes—
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2414yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2412yes—
1170C2×C42—24no—
1171C2×C42—24no—
1172C2×C42—44no—
1173C2×C42C2411yescharacteristic
1174C2×C42C2411yescharacteristic
1175C2×C42C2412yes—
1176C2×C42C2412yes—
1177C2×C42C2412yes—
1178C2×C42C2414yes—
1179C2×C42C2412yes—
1180C2×C42C2412yes—
1181C2×C42C2411yescharacteristic
1182C2×C42C2412yes—
1183C2×C42C2411yescharacteristic
1184C2×C42C2411yescharacteristic
1185C2×C42C2411yescharacteristic
1186C2×C42C2411yescharacteristic
1187C2×C42C2412yes—
1188C2×C42C2411yescharacteristic
1189C2×C42C2411yescharacteristic
1190C2×C42C2412yes—
1191C2×C42C2411yescharacteristic
1192C2×C42C2412yes—
1193C2×C42C2411yescharacteristic
1194C2×C42C2414yes—
1195C2×C42C2411yescharacteristic
1196C2×C42C2412yes—
1197C2×C42C2412yes—
1198C2×C42C2411yescharacteristic
1199#95C2412yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2411yescharacteristic
1204#95C2412yes—
1205#95C2411yescharacteristic
1206#95C2412yes—
1207#95C2412yes—
1208#95C2411yescharacteristic
1209#95C2411yescharacteristic
1210#95C2411yescharacteristic
1211#95C2411yescharacteristic
1212#95C2412yes—
1213#95C2412yes—
1214#95C2412yes—
1215#95C2412yes—
1216#95C2412yes—
1217#95C2412yes—
1218#95C2412yes—
1219#95C2412yes—
1220#95C2412yes—
1221#95C2412yes—
1222#95C2412yes—
1223#95C2412yes—
1224#95C2412yes—
1225#95C2412yes—
1226#95C2412yes—
1227#95C2412yes—
1228#95C2412yes—
1229#95C2414yes—
1230#95C2414yes—
1231#95C2412yes—
1232#95C2412yes—
1233#95C2412yes—
1234#95C2414yes—
1235#95C2414yes—
1236#95C2414yes—
1237#95C2412yes—
1238#95C2414yes—
1239#95C2412yes—
1240#95C2412yes—
1241#95C2414yes—
1242#95C2414yes—
1243#95C2414yes—
1244#95C2414yes—
1245#95C2414yes—
1246#95C2414yes—
1247#95C2414yes—
1248#95C2414yes—
1249C24—28no—
1250C24—44no—
1251C24—44no—
1252C24—44no—
1253C24—44no—
1254C24—44no—
1255C24—44no—
1256C24C2514yes—
1257C24C2514yes—
1258C24C2512yes—
1259C24C2512yes—
1260C24C2512yes—
1261C24C2511yescharacteristic
1262C24C2511yescharacteristic
1263#41—816no—
1264#41—816no—
1265#41—816no—
1266#41—816no—
1267C2×Q8—24no—
1268C2×Q8—22no—
1269C2×Q8—24no—
1270C2×Q8—22no—
1271C2×Q8—24no—
1272C2×Q8—24no—
1273C2×Q8—22no—
1274C2×Q8—42no—
1275C2×Q8—42no—
1276C2×D4—22no—
1277C2×D4—24no—
1278C2×D4—24no—
1279C2×D4—24no—
1280C2×D4—22no—
1281C2×D4—22no—
1282C2×D4—22no—
1283C2×D4—24no—
1284C2×D4—22no—
1285C2×D4—22no—
1286C2×D4—24no—
1287C2×D4—24no—
1288C2×D4—24no—
1289C2×D4—24no—
1290C2×D4—24no—
1291C2×D4—24no—
1292C2×D4—22no—
1293C2×D4—24no—
1294C2×D4—22no—
1295C2×D4—24no—
1296C2×D4—24no—
1297C2×D4—24no—
1298C2×D4—28no—
1299C2×D4—28no—
1300C2×D4—28no—
1301C2×D4—24no—
1302C2×D4—24no—
1303C2×D4—24no—
1304C2×D4—24no—
1305C2×D4—28no—
1306C2×D4—22no—
1307C2×D4—24no—
1308C2×D4—22no—
1309C2×D4—24no—
1310C2×D4—24no—
1311C2×D4—28no—
1312C2×D4—41no—
1313C2×D4—41no—
1314C2×D4—42no—
1315C2×D4—42no—
1316C2×D4—42no—
1317C2×D4—42no—
1318C2×D4—42no—
1319C2×D4—44no—
1320C2×D4—42no—
1321C2×D4—42no—
1322C2×D4—44no—
1323C2×D4—42no—
1324C2×D4—42no—
1325C2×D4—44no—
1326C2×D4—44no—
1327C2×D4—42no—
1328C2×D4—44no—
1329C2×D4—42no—
1330C2×D4—42no—
1331C2×D4—44no—
1332C2×D4—44no—
1333C2×D4—44no—
1334C2×D4—44no—
1335C2×D4—44no—
1336C2×D4—44no—
1337C2×D4—44no—
1338C2×D4—42no—
1339C2×D4—42no—
1340C2×D4—42no—
1341C2×D4—44no—
1342C2×D4—42no—
1343C2×D4—44no—
1344C2×D4—44no—
1345C2×D4—44no—
1346C2×D4—42no—
1347C2×D4—44no—
1348C2×D4—44no—
1349C2×D4—44no—
1350C2×D4—42no—
1351C2×D4—42no—
1352C2×D4—42no—
1353C2×D4—44no—
1354C2×D4—42no—
1355C2×D4—44no—
1356C2×D4—44no—
1357C2×D4—44no—
1358C2×D4—44no—
1359C2×D4—44no—
1360C2×D4—44no—
1361C2×D4—44no—
1362C2×D4—44no—
1363C2×D4—44no—
1364C2×D4—44no—
1365C2×D4—44no—
1366C2×D4—44no—
1367C2×D4—44no—
1368C2×D4—44no—
1369C2×D4—44no—
1370C2×D4—44no—
1371C2×D4—44no—
1372C2×D4—44no—
1373C2×D4—44no—
1374C2×D4—44no—
1375C2×D4—44no—
1376C2×D4—44no—
1377C2×D4—44no—
1378C2×D4—44no—
1379C2×D4—44no—
1380C2×D4—44no—
1381C2×D4—44no—
1382C2×D4—44no—
1383C2×D4—44no—
1384C2×D4—44no—
1385C2×D4—44no—
1386C2×D4—44no—
1387C2×D4—816no—
1388C2×D4—816no—
1389C2×D4—816no—
1390C22×C4—22no—
1391C22×C4—22no—
1392C22×C4—22no—
1393C22×C4—22no—
1394C22×C4—22no—
1395C22×C4—22no—
1396C22×C4—24no—
1397C22×C4—24no—
1398C22×C4—24no—
1399C22×C4—22no—
1400C22×C4—24no—
1401C22×C4—24no—
1402C22×C4—24no—
1403C22×C4—22no—
1404C22×C4—22no—
1405C22×C4—22no—
1406C22×C4—24no—
1407C22×C4—24no—
1408C22×C4—22no—
1409C22×C4—24no—
1410C22×C4—22no—
1411C22×C4—22no—
1412C22×C4—22no—
1413C22×C4—28no—
1414C22×C4—24no—
1415C22×C4—41no—
1416C22×C4—42no—
1417C22×C4—42no—
1418C22×C4—44no—
1419C22×C4—44no—
1420C22×C4—44no—
1421C22×C4—44no—
1422C22×C4—44no—
1423C22×C4—44no—
1424C22×C4—44no—
1425C22×C4—44no—
1426C22×C4—41no—
1427C22×C4—42no—
1428C22×C4—44no—
1429C22×C4—42no—
1430C22×C4—44no—
1431C22×C4—41no—
1432C22×C4—42no—
1433C22×C4—44no—
1434C22×C4—44no—
1435C22×C4—44no—
1436C22×C4—44no—
1437C22×C4—44no—
1438C22×C4—44no—
1439C22×C4—44no—
1440C22×C4H(5,𝔽2)14yes—
1441C22×C4C2512yes—
1442C22×C4C2511yescharacteristic
1443C22×C4C2512yes—
1444C22×C4C2512yes—
1445C22×C4C2512yes—
1446C22×C4C2512yes—
1447C22×C4C2511yescharacteristic
1448C22×C4C2511yescharacteristic
1449C22×C4C2511yescharacteristic
1450C22×C4C2512yes—
1451C22×C4C2511yescharacteristic
1452C22×C4C2514yes—
1453C22×C4C2514yes—
1454C22×C4C2512yes—
1455C22×C4C2512yes—
1456C22×C4C2511yescharacteristic
1457C22×C4C2511yescharacteristic
1458C22×C4C2512yes—
1459C22×C4C2512yes—
1460C22×C4C2511yescharacteristic
1461C22×C4C2512yes—
1462C22×C4C2511yescharacteristic
1463C22×C4C2511yescharacteristic
1464C22×C4C2512yes—
1465C22×C4C2512yes—
1466C22×C4C2511yescharacteristic
1467C22×C4C2511yescharacteristic
1468C22×C4C2511yescharacteristic
1469C4⋊C4—22no—
1470C4⋊C4—22no—
1471C4⋊C4—24no—
1472C4⋊C4—24no—
1473C4⋊C4—22no—
1474C4⋊C4—22no—
1475C4⋊C4—22no—
1476C4⋊C4—24no—
1477C4⋊C4—22no—
1478C4⋊C4—22no—
1479C4⋊C4—22no—
1480C4⋊C4—24no—
1481C4⋊C4—22no—
1482C4⋊C4—24no—
1483C4⋊C4—24no—
1484C4⋊C4—22no—
1485C4⋊C4—28no—
1486C4⋊C4—24no—
1487C4⋊C4—28no—
1488C4⋊C4—24no—
1489C4⋊C4—28no—
1490C4⋊C4—28no—
1491C4⋊C4—22no—
1492C4⋊C4—22no—
1493C4⋊C4—24no—
1494C4⋊C4—44no—
1495C4⋊C4—44no—
1496C4⋊C4—42no—
1497C4⋊C4—44no—
1498C4⋊C4—42no—
1499C4⋊C4—42no—
1500C4⋊C4—42no—
1501C4⋊C4—42no—
1502C4⋊C4—42no—
1503C4⋊C4—42no—
1504C4⋊C4—41no—
1505C4⋊C4—42no—
1506C4⋊C4—42no—
1507C4⋊C4—42no—
1508C4⋊C4—42no—
1509C4⋊C4—42no—
1510C4⋊C4—42no—
1511C4⋊C4—44no—
1512C4⋊C4—44no—
1513C4⋊C4—42no—
1514C4⋊C4—42no—
1515C4⋊C4—42no—
1516C4⋊C4H(5,𝔽2)14yes—
1517C4⋊C4H(5,𝔽2)14yes—
1518C22⋊C4—22no—
1519C22⋊C4—28no—
1520C22⋊C4—24no—
1521C22⋊C4—24no—
1522C22⋊C4—28no—
1523C22⋊C4—24no—
1524C22⋊C4—28no—
1525C22⋊C4—28no—
1526C22⋊C4—22no—
1527C22⋊C4—24no—
1528C22⋊C4—24no—
1529C22⋊C4—24no—
1530C22⋊C4—24no—
1531C22⋊C4—24no—
1532C22⋊C4—28no—
1533C22⋊C4—24no—
1534C22⋊C4—24no—
1535C22⋊C4—22no—
1536C22⋊C4—24no—
1537C22⋊C4—42no—
1538C22⋊C4—44no—
1539C22⋊C4—44no—
1540C22⋊C4—44no—
1541C22⋊C4—42no—
1542C22⋊C4—42no—
1543C22⋊C4—42no—
1544C22⋊C4—42no—
1545C22⋊C4—42no—
1546C22⋊C4—42no—
1547C22⋊C4—44no—
1548C22⋊C4—42no—
1549C22⋊C4—41no—
1550C22⋊C4—41no—
1551C22⋊C4—42no—
1552C22⋊C4—42no—
1553C22⋊C4—41no—
1554C22⋊C4—44no—
1555C22⋊C4—42no—
1556C22⋊C4—42no—
1557C22⋊C4—42no—
1558C22⋊C4—44no—
1559C22⋊C4—44no—
1560C22⋊C4—44no—
1561C22⋊C4—44no—
1562C22⋊C4—44no—
1563C22⋊C4—42no—
1564C22⋊C4—42no—
1565C22⋊C4—42no—
1566C22⋊C4—44no—
1567C22⋊C4—44no—
1568C22⋊C4—42no—
1569C22⋊C4—44no—
1570C22⋊C4—42no—
1571C22⋊C4—44no—
1572C22⋊C4—44no—
1573C22⋊C4—44no—
1574C22⋊C4—44no—
1575C22⋊C4—44no—
1576C22⋊C4—44no—
1577C22⋊C4—44no—
1578C22⋊C4—44no—
1579C22⋊C4—44no—
1580C22⋊C4—44no—
1581C22⋊C4—42no—
1582C22⋊C4—44no—
1583C22⋊C4—42no—
1584C22⋊C4—44no—
1585C22⋊C4—44no—
1586C22⋊C4—44no—
1587C22⋊C4—44no—
1588C22⋊C4—44no—
1589C22⋊C4—44no—
1590C22⋊C4—44no—
1591C22⋊C4—42no—
1592C22⋊C4—44no—
1593C22⋊C4—42no—
1594C22⋊C4—42no—
1595C22⋊C4—42no—
1596C22⋊C4—42no—
1597C22⋊C4—42no—
1598C42—22no—
1599C42—22no—
1600C42—22no—
1601C42—22no—
1602C42—22no—
1603C42—22no—
1604C42—22no—
1605C42—24no—
1606C42—24no—
1607C42—24no—
1608C42—22no—
1609C42—24no—
1610C42—24no—
1611C42—28no—
1612C42—24no—
1613C42—22no—
1614C42—22no—
1615C42—24no—
1616C42—24no—
1617C42—42no—
1618C42—42no—
1619C42—41no—
1620C42—41no—
1621C42—44no—
1622C42—42no—
1623C42H(5,𝔽2)14yes—
1624C23—21no—
1625C23—21no—
1626C23—21no—
1627C23—21no—
1628C23—21no—
1629C23—21no—
1630C23—22no—
1631C23—24no—
1632C23—22no—
1633C23—24no—
1634C23—22no—
1635C23—22no—
1636C23—22no—
1637C23—24no—
1638C23—24no—
1639C23—22no—
1640C23—21no—
1641C23—22no—
1642C23—24no—
1643C23—21no—
1644C23—22no—
1645C23—24no—
1646C23—21no—
1647C23—22no—
1648C23—21no—
1649C23—22no—
1650C23—24no—
1651C23—22no—
1652C23—24no—
1653C23—22no—
1654C23—22no—
1655C23—21no—
1656C23—21no—
1657C23—22no—
1658C23—22no—
1659C23—22no—
1660C23—22no—
1661C23—24no—
1662C23—24no—
1663C23—22no—
1664C23—24no—
1665C23—24no—
1666C23—22no—
1667C23—24no—
1668C23—24no—
1669C23—22no—
1670C23—22no—
1671C23—21no—
1672C23—88no—
1673C23—88no—
1674C23—88no—
1675C23—88no—
1676C23—88no—
1677C23—164no—
1678C23—164no—
1679C23C2×H(5,𝔽2)12yes—
1680C23C2611yescharacteristic
1681Q8—48no—
1682Q8—44no—
1683Q8—84no—
1684D4—48no—
1685D4—44no—
1686D4—48no—
1687D4—48no—
1688D4—44no—
1689D4—44no—
1690D4—44no—
1691D4—48no—
1692D4—48no—
1693D4—84no—
1694D4—88no—
1695D4—88no—
1696D4—84no—
1697D4—88no—
1698D4—84no—
1699D4—88no—
1700D4—84no—
1701D4—88no—
1702D4—84no—
1703D4—84no—
1704D4—84no—
1705D4—84no—
1706D4—84no—
1707D4—88no—
1708D4—88no—
1709D4—88no—
1710D4—88no—
1711D4—164no—
1712D4—164no—
1713D4—164no—
1714D4—164no—
1715D4—164no—
1716D4—164no—
1717D4—164no—
1718D4—164no—
1719D4—164no—
1720D4—164no—
1721C2×C4—22no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—22no—
1726C2×C4—21no—
1727C2×C4—22no—
1728C2×C4—22no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—28no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—22no—
1739C2×C4—21no—
1740C2×C4—22no—
1741C2×C4—21no—
1742C2×C4—22no—
1743C2×C4—22no—
1744C2×C4—22no—
1745C2×C4—21no—
1746C2×C4—22no—
1747C2×C4—21no—
1748C2×C4—22no—
1749C2×C4—24no—
1750C2×C4—22no—
1751C2×C4—22no—
1752C2×C4—22no—
1753C2×C4—22no—
1754C2×C4—21no—
1755C2×C4—22no—
1756C2×C4—22no—
1757C2×C4—21no—
1758C2×C4—22no—
1759C2×C4—21no—
1760C2×C4—22no—
1761C2×C4—24no—
1762C2×C4—24no—
1763C2×C4—22no—
1764C2×C4—22no—
1765C2×C4—22no—
1766C2×C4—22no—
1767C2×C4—22no—
1768C2×C4—24no—
1769C2×C4—22no—
1770C2×C4—24no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—22no—
1775C2×C4—22no—
1776C2×C4—22no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—22no—
1780C2×C4—21no—
1781C2×C4—22no—
1782C2×C4—22no—
1783C2×C4—21no—
1784C2×C4—22no—
1785C2×C4—22no—
1786C2×C4—21no—
1787C2×C4—22no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—24no—
1791C2×C4—22no—
1792C2×C4—21no—
1793C2×C4—22no—
1794C2×C4—22no—
1795C2×C4—44no—
1796C2×C4—48no—
1797C2×C4—44no—
1798C2×C4—48no—
1799C2×C4—44no—
1800C2×C4—44no—
1801C2×C4—48no—
1802C2×C4—84no—
1803C2×C4—88no—
1804C2×C4—82no—
1805C2×C4—84no—
1806C2×C4—88no—
1807C2×C4—88no—
1808C2×C4—88no—
1809C2×C4—164no—
1810C2×C4—164no—
1811C2×C4C2×H(5,𝔽2)14yes—
1812C2×C4C2×H(5,𝔽2)12yes—
1813C2×C4C2×H(5,𝔽2)12yes—
1814C2×C4C2×H(5,𝔽2)14yes—
1815C2×C4C2×H(5,𝔽2)12yes—
1816C2×C4C2×H(5,𝔽2)12yes—
1817C2×C4C2×H(5,𝔽2)12yes—
1818C2×C4C2×H(5,𝔽2)12yes—
1819C2×C4C2×H(5,𝔽2)12yes—
1820C2×C4#58512yes—
1821C2×C4#58512yes—
1822C22—22no—
1823C22—22no—
1824C22—22no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—41no—
1829C22—42no—
1830C22—41no—
1831C22—42no—
1832C22—42no—
1833C22—44no—
1834C22—44no—
1835C22—42no—
1836C22—41no—
1837C22—44no—
1838C22—44no—
1839C22—42no—
1840C22—42no—
1841C22—42no—
1842C22—44no—
1843C22—42no—
1844C22—41no—
1845C22—42no—
1846C22—44no—
1847C22—41no—
1848C22—42no—
1849C22—42no—
1850C22—44no—
1851C22—44no—
1852C22—42no—
1853C22—42no—
1854C22—44no—
1855C22—42no—
1856C22—42no—
1857C22—41no—
1858C22—44no—
1859C22—42no—
1860C22—41no—
1861C22—42no—
1862C22—42no—
1863C22—44no—
1864C22—44no—
1865C22—41no—
1866C22—44no—
1867C22—44no—
1868C22—42no—
1869C22—42no—
1870C22—42no—
1871C22—1616no—
1872C22C22×H(5,𝔽2)11yescharacteristic
1873C22C22×H(5,𝔽2)11yescharacteristic
1874C22C22×H(5,𝔽2)11yescharacteristic
1875C22C22×H(5,𝔽2)11yescharacteristic
1876C22C2×#58511yescharacteristic
1877C22C2×#58511yescharacteristic
1878C22H(7,𝔽2)11yescharacteristic
1879C4—22no—
1880C4—24no—
1881C4—24no—
1882C4—22no—
1883C4—22no—
1884C4—41no—
1885C4—42no—
1886C4—42no—
1887C4—44no—
1888C4—41no—
1889C4—42no—
1890C4—41no—
1891C4—42no—
1892C4—41no—
1893C4—42no—
1894C4—42no—
1895C4—41no—
1896C4—42no—
1897C4—41no—
1898C4—42no—
1899C4—44no—
1900C4—42no—
1901C4—41no—
1902C4—42no—
1903C4—41no—
1904C4—42no—
1905C4#354314yes—
1906C4#354614yes—
1907C2—42no—
1908C2—81no—
1909C2—82no—
1910C2—82no—
1911C2—82no—
1912C2—84no—
1913C2—84no—
1914C2C2×#354311yescharacteristic
1915C2C2×#354611yescharacteristic
1916C2#6283611yescharacteristic
1917C2#6291611yescharacteristic
1918C2#6292011yescharacteristic
1919C2#6292411yescharacteristic
1920C2#6301411yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #59647C2semidirect
2. #59124C2semidirect
3. #59051C2semidirect
4. #58902C2semidirect
5. #57200C2semidirect
6. #56512C2semidirect
7. #53059C2semidirect
8. #52971C2semidirect
9. #49873C2semidirect
10. #46010C2semidirect
11. #45593C2semidirect
12. #45002C2semidirect
13. #44886C2semidirect
14. #42616C2semidirect
15. #42603C2semidirect
16. #42438C2semidirect
17. #42432C2semidirect
18. #40050C2semidirect
19. #39386C2semidirect
20. #39352C2semidirect
21. #39340C2semidirect
22. #39138C2semidirect
23. #39138C2semidirect
24. #38956C2semidirect
25. #37786C2semidirect
26. #37616C2semidirect
27. #37343C2semidirect
28. #37300C2semidirect
29. #36450C2semidirect
30. #36121C2semidirect
31. #36115C2semidirect
32. #35274C2semidirect
33. #35171C2semidirect
34. #34889C2semidirect
35. #34797C2semidirect
37. C2×#550C22semidirect
38. C2×#547C22semidirect
41. C2×#540C22semidirect
42. C2×#540C22semidirect
49. C2×#529C22semidirect
50. C2×#529C22semidirect
52. #2863C22semidirect
57. #2856C22semidirect
58. #2854C22semidirect
59. #2850C22semidirect
60. #2829C22semidirect
61. #2825C22semidirect
62. #2825C22semidirect
63. #2825C22semidirect
64. #2818C22semidirect
65. #2813C22semidirect
66. #2813C22semidirect
68. #2797C22semidirect
69. #2780C22semidirect
70. #2778C22semidirect
71. #2757C22semidirect
72. #2756C22semidirect
73. #2749C22semidirect
74. #2730C22semidirect
75. #2730C22semidirect
76. #2717C22semidirect
77. #2715C22semidirect
78. #2714C22semidirect
79. #2714C22semidirect
80. #2714C22semidirect
81. #2709C22semidirect
82. #2709C22semidirect
83. #2709C22semidirect
84. #2706C22semidirect
85. #2706C22semidirect
86. #2706C22semidirect
87. #2703C22semidirect
88. #2703C22semidirect
89. #2703C22semidirect
91. #2693C22semidirect
92. #2691C22semidirect
93. #2688C22semidirect
94. #2686C22semidirect
98. #2676C22semidirect
100. #2673C22semidirect
101. #2673C22semidirect
102. #2673C22semidirect
103. #2673C22semidirect
104. #2673C22semidirect
105. #2673C22semidirect
106. #2673C22semidirect
107. #2673C22semidirect
108. #2673C22semidirect
109. #2673C22semidirect
110. #2672C22semidirect
112. #2671C22semidirect
117. #2661C22semidirect
119. #2651C22semidirect
120. #2636C22semidirect
121. #2630C22semidirect
122. #2624C22semidirect
124. #2620C22semidirect
125. #2620C22semidirect
126. #2620C22semidirect
127. #2619C22semidirect
128. #2619C22semidirect
129. #2619C22semidirect
130. #2619C22semidirect
133. #2600C22semidirect
135. #2568C22semidirect
136. #2566C22semidirect
138. #2557C22semidirect
139. #2552C22semidirect
140. #2550C22semidirect
143. #2544C22semidirect
144. #2544C22semidirect
145. #2544C22semidirect
146. #2542C22semidirect
155. #2541C22semidirect
156. #2541C22semidirect
157. #2541C22semidirect
158. #2541C22semidirect
159. #2541C22semidirect
162. #2537C22semidirect
163. #2537C22semidirect
165. #2535C22semidirect
166. #2535C22semidirect
167. #2531C22semidirect
168. #2529C22semidirect
169. #2528C22semidirect
170. #2521C22semidirect
172. #2514C22semidirect
173. #2513C22semidirect
174. #2512C22semidirect
175. #2512C22semidirect
176. #2507C22semidirect
177. #2504C22semidirect
178. #2504C22semidirect
179. #2501C22semidirect
182. #2495C22semidirect
184. #2492C22semidirect
186. #2490C22semidirect
187. #2490C22semidirect
188. #2490C22semidirect
189. #2490C22semidirect
192. #2474C22semidirect
193. #2471C22semidirect
195. #2467C22semidirect
197. #2464C22semidirect
198. #2461C22semidirect
199. #2456C22semidirect
200. #2454C22semidirect
201. #2447C22semidirect
205. #2445C22semidirect
206. #2445C22semidirect
207. #2445C22semidirect
208. #2445C22semidirect
210. #2440C22semidirect
218. #2431C22semidirect
219. #2431C22semidirect
220. #2431C22semidirect
221. #2431C22semidirect
222. #2431C22semidirect
226. #2428C22semidirect
227. #2428C22semidirect
228. #2428C22semidirect
229. #2428C22semidirect
230. #2428C22semidirect
232. #2427C22semidirect
233. #2427C22semidirect
234. #2427C22semidirect
235. #2426C22semidirect
236. #2426C22semidirect
239. #2422C22semidirect
240. #2422C22semidirect
241. #2420C22semidirect
243. #2417C22semidirect
245. #2416C22semidirect
246. #2416C22semidirect
254. #2407C22semidirect
255. #2407C22semidirect
256. #2407C22semidirect
257. #2407C22semidirect
258. #2407C22semidirect
260. #2395C22semidirect
263. #2380C22semidirect
265. #2366C22semidirect
266. #2366C22semidirect
267. #2365C22semidirect
269. #2361C22semidirect
270. #2361C22semidirect
271. #2355C22semidirect
272. #2355C22semidirect
273. #2354C22semidirect
274. D4×C4⋊C4C22semidirect
278. #2324C22semidirect
279. #2324C22semidirect
280. #2324C22semidirect
281. #2311C22semidirect
283. C4×#125C22semidirect
284. C4×#125C22semidirect
285. C4×#126C22semidirect
286. C4×#124C22semidirect
289. C4×#121C22semidirect
290. C4×#121C22semidirect
291. C4×#121C22semidirect
293. #2293C22semidirect
294. #2293C22semidirect
295. #2285C22semidirect
297. C42×D4C22semidirect

Maximal subgroups

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

subgroupindex
#596472
#591242
#590512
#589022
#572002
#565122
#530592
#529712
#498732
#460102
#455932
#450022
#448862
#426162
#426032
#424382
#424322
#400502
#393862
#393522
#393402
#391382
#389562
#377862
#376162
#373432
#373002
#364502
#361212
#361152
#352742
#351712
#348892
#347972