Finite Group Databasebeta

← #8175749

Subgroups — #8175749

Order 512.

5071 conjugacy classes of subgroups.

The subgroup lattice has 1810 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59652C211yesmaximal, characteristic, complemented
2#59647C211yesmaximal, characteristic, complemented
3#59436C211yesmaximal, characteristic, complemented
4#59412C211yesmaximal, characteristic, complemented
5#58937C214yesmaximal, complemented
6#56450C214yesmaximal, complemented
7#56356C214yesmaximal, complemented
8#54833C214yesmaximal, complemented
9#53134C212yesmaximal, complemented
10#53073C212yesmaximal, complemented
11#53069C212yesmaximal, complemented
12#52971C212yesmaximal, complemented
13#45019C212yesmaximal, complemented
14#45002C212yesmaximal, complemented
15#42685C212yesmaximal, complemented
16#42673C212yesmaximal, complemented
17#42584C212yesmaximal, complemented
18#42539C212yesmaximal, complemented
19#42468C212yesmaximal, complemented
20#42438C212yesmaximal, complemented
21#39506C211yesmaximal, characteristic, complemented
22#39378C211yesmaximal, characteristic, complemented
23#39138C211yesmaximal, characteristic, complemented
24#39059C212yesmaximal, complemented
25#38953C211yesmaximal, characteristic, complemented
26#38952C211yesmaximal, characteristic, complemented
27#38922C211yesmaximal, characteristic, complemented
28#38112C212yesmaximal, complemented
29#37493C212yesmaximal, complemented
30#37370C212yesmaximal, complemented
31#36492C211yesmaximal, characteristic, complemented
32#36258C211yesmaximal, characteristic, complemented
33#35288C211yesmaximal, characteristic, complemented
34#34910C211yesmaximal, characteristic, complemented
35#34621C211yesmaximal, characteristic, complemented
36C2×#555C2211yescharacteristic
37C2×#554C2211yescharacteristic, complemented
38C2×#550C2211yescharacteristic
39C2×#546C2212yes—
40C2×#546C2212yes—
41C2×D42C2211yescharacteristic
42C2×#540C2212yes—
43C2×#529C2211yescharacteristic, complemented
44C2×C4×#41C2211yescharacteristic
45#2859C2211yescharacteristic, complemented
46#2858C2211yescharacteristic
47#2857C2211yescharacteristic, complemented
48#2856C2211yescharacteristic
49#2854C2212yes—
50#2851C2212yescomplemented
51#2836C2214yescomplemented
52#2829C2214yescomplemented
53#2829C2214yescomplemented
54#2829C2214yescomplemented
55#2829C2214yescomplemented
56#2828C2214yescomplemented
57#2827C2214yescomplemented
58#2827C2214yescomplemented
59#2825C2214yescomplemented
60#2825C2214yescomplemented
61#2813C2214yescomplemented
62#2812C2214yescomplemented
63#2797C2214yescomplemented
64#2797C2214yescomplemented
65#2796C2214yescomplemented
66#2787C2214yescomplemented
67#2786C2214yescomplemented
68#2783C2214yescomplemented
69#2783C2214yescomplemented
70#2783C2214yescomplemented
71#2781C2214yescomplemented
72#2779C2214yescomplemented
73#2761C2214yescomplemented
74#2756C2214yescomplemented
75#2756C2214yescomplemented
76#2752C2214yescomplemented
77#2749C2214yescomplemented
78#2746C2214yescomplemented
79#2745C2214yescomplemented
80#2740C2214yescomplemented
81#2740C2214yescomplemented
82#2740C2214yescomplemented
83#2735C2214yescomplemented
84#2730C2214yescomplemented
85#2724C2214yescomplemented
86#2715C2214yescomplemented
87#2714C2214yescomplemented
88#2709C2214yescomplemented
89#2706C2214yescomplemented
90#2706C2214yescomplemented
91#2703C2214yescomplemented
92#2701C2214yescomplemented
93#2701C2214yescomplemented
94#2701C2214yescomplemented
95#2701C2214yescomplemented
96#2699C2214yescomplemented
97#2697C2214yescomplemented
98#2693C2214yescomplemented
99#2688C2214yescomplemented
100#2678C2214yes—
101#2678C2214yescomplemented
102#2673C2214yescomplemented
103#2673C2214yescomplemented
104#2672C2214yescomplemented
105#2672C2214yescomplemented
106#2672C2214yescomplemented
107#2670C2214yes—
108#2670C2214yes—
109#2669C2214yescomplemented
110#2668C2214yescomplemented
111#2661C2214yescomplemented
112#2651C2212yescomplemented
113#2651C2212yescomplemented
114#2648C2212yescomplemented
115#2648C2212yescomplemented
116#2648C2214yescomplemented
117#2648C2214yescomplemented
118#2647C2211yescharacteristic, complemented
119#2644C2211yescharacteristic
120#2644C2211yescharacteristic, complemented
121#2644C2212yescomplemented
122#2641C2211yescharacteristic
123#2635C2214yescomplemented
124#2629C2211yescharacteristic, complemented
125#2629C2212yescomplemented
126#2624C2212yes—
127#2624C2211yescharacteristic
128#2624C2211yescharacteristic, complemented
129#2624C2212yescomplemented
130#2622C2214yescomplemented
131#2622C2214yescomplemented
132#2621C2212yescomplemented
133#2620C2212yescomplemented
134#2619C2212yes—
135#2619C2211yescharacteristic
136#2619C2214yescomplemented
137#2619C2212yescomplemented
138#2617C2214yescomplemented
139#2602C2212yescomplemented
140#2602C2212yescomplemented
141#2602C2214yescomplemented
142#2601C2212yescomplemented
143#2601C2212yescomplemented
144#2600C2214yescomplemented
145#2599C2214yescomplemented
146#2570C2212yescomplemented
147#2567C2211yescharacteristic, complemented
148#2566C2211yescharacteristic
149#2565C2211yescharacteristic, complemented
150#2563C2211yescharacteristic
151#2562C2212yescomplemented
152#2548C2211yescharacteristic
153#2545C2211yescharacteristic, complemented
154#2544C2211yescharacteristic
155#2544C2212yescomplemented
156#2541C2211yescharacteristic
157#2541C2212yescomplemented
158#2541C2212yescomplemented
159#2540C2212yescomplemented
160#2538C2211yescharacteristic
161#2538C2211yescharacteristic
162#2537C2211yescharacteristic
163#2537C2211yescharacteristic, complemented
164#2537C2212yescomplemented
165#2535C2212yes—
166#2535C2212yescomplemented
167#2535C2214yescomplemented
168#2535C2212yescomplemented
169#2518C2214yescomplemented
170#2514C2212yescomplemented
171#2513C2212yes—
172#2513C2212yes—
173#2513C2212yescomplemented
174#2513C2212yescomplemented
175#2508C2212yescomplemented
176#2508C2212yescomplemented
177#2504C2212yescomplemented
178#2501C2212yescomplemented
179#2500C2212yes—
180#2500C2211yescharacteristic, complemented
181#2499C2211yescharacteristic, complemented
182#2495C2212yescomplemented
183#2494C2212yescomplemented
184#2490C2212yes—
185#2490C2212yescomplemented
186#2490C2212yescomplemented
187#2490C2212yescomplemented
188#2489C2212yescomplemented
189#2489C2212yescomplemented
190#2486C2212yescomplemented
191#2486C2212yescomplemented
192#2485C2212yescomplemented
193#2483C2214yescomplemented
194#2482C2214yescomplemented
195#2477C2214yescomplemented
196#2471C2214yescomplemented
197#2463C2214yescomplemented
198#2457C2214yescomplemented
199#2454C2212yescomplemented
200#2454C2212yescomplemented
201#2454C2212yescomplemented
202#2448C2212yescomplemented
203#2447C2212yes—
204#2447C2212yescomplemented
205#2447C2212yescomplemented
206#2445C2212yescomplemented
207#2445C2212yescomplemented
208#2442C2212yescomplemented
209#2441C2212yescomplemented
210#2441C2212yescomplemented
211#2433C2212yes—
212#2433C2212yes—
213#2432C2211yescharacteristic
214#2432C2212yescomplemented
215#2431C2211yescharacteristic
216#2431C2212yescomplemented
217#2428C2212yes—
218#2428C2212yes—
219#2427C2212yescomplemented
220#2427C2212yescomplemented
221#2426C2212yes—
222#2426C2214yescomplemented
223#2426C2212yescomplemented
224#2424C2214yes—
225#2424C2214yes—
226#2424C2214yescomplemented
227#2422C2212yes—
228#2421C2212yescomplemented
229#2420C2212yes—
230#2420C2212yescomplemented
231#2420C2212yescomplemented
232#2420C2212yescomplemented
233#2418C2214yescomplemented
234#2418C2214yescomplemented
235#2416C2212yes—
236#2416C2212yes—
237#2416C2212yescomplemented
238#2416C2212yescomplemented
239#2416C2212yescomplemented
240#2415C2212yescomplemented
241#2415C2212yescomplemented
242#2414C2212yes—
243#2414C2212yes—
244#2414C2212yes—
245#2412C2214yescomplemented
246#2411C2214yes—
247#2411C2214yescomplemented
248#2408C2212yes—
249#2408C2212yes—
250#2408C2212yes—
251#2408C2212yes—
252#2407C2212yes—
253#2407C2212yes—
254#2407C2212yescomplemented
255#2395C2212yescomplemented
256#2395C2212yescomplemented
257#2392C2212yescomplemented
258#2392C2212yescomplemented
259#2392C2212yescomplemented
260#2392C2212yescomplemented
261#2366C2212yescomplemented
262#2363C2212yescomplemented
263#2361C2212yes—
264#2361C2212yescomplemented
265#2355C2211yescharacteristic, complemented
266#2355C2211yescharacteristic, complemented
267#2354C2212yes—
268#2352C2212yescomplemented
269#2352C2212yescomplemented
270D4×C4⋊C4C2211yescharacteristic
271D4×C4⋊C4C2211yescharacteristic, complemented
272#2344C2212yescomplemented
273D4×C22⋊C4C2212yes—
274D4×C22⋊C4C2212yes—
275#2324C2212yescomplemented
276#2324C2212yescomplemented
277#2319C2212yescomplemented
278#2316C2212yescomplemented
279#2314C2212yescomplemented
280#2311C2212yescomplemented
281#2309C2212yes—
282C4×C4⋊Q8C2211yescharacteristic, complemented
283C4×C4⋊Q8C2211yescharacteristic, complemented
284C4×#127C2211yescharacteristic
285C4×#127C2211yescharacteristic
286C4×#127C2211yescharacteristic
287C4×#125C2211yescharacteristic, complemented
288C4×#124C2211yescharacteristic
289C4×#124C2211yescharacteristic, complemented
290C4×#121C2211yescharacteristic
291C4×#121C2211yescharacteristic, complemented
292C4×#121C2212yescomplemented
293#2293C2211yescharacteristic
294#2293C2211yescharacteristic, complemented
295C2×#390C2212yes—
296#2290C2212yescomplemented
297#2290C2212yescomplemented
298C4×#117C2211yescharacteristic, complemented
299C22×#41C2311yescharacteristic
300C22×#41C2312yes—
301C23×D4C2312yes—
302C23×D4C2312yes—
303#555—44no—
304#554—44no—
305#550—44no—
306#546—48no—
307#546—48no—
308D42—44no—
309#540—48no—
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2311yescharacteristic
312C2×#127C2311yescharacteristic
313C2×#127C2311yescharacteristic
314C2×#127C2311yescharacteristic
315C2×#127C2312yes—
316C2×#127C2312yes—
317C2×#127C2314yes—
318#529—44no—
319C2×#126C2312yes—
320C2×#125C2311yescharacteristic
321C2×#125C2312yes—
322C2×#125C2311yescharacteristic
323C2×#125C2312yes—
324C2×#124C2311yescharacteristic
325C2×#124C2312yes—
326C2×#124C2314yes—
327C2×#124C2311yescharacteristic
328C2×#124C2311yescharacteristic
329C2×#124C2312yes—
330C2×#124C2312yes—
331C2×#123C2314yes—
332C2×#123C2312yes—
333C2×#123C2314yes—
334C2×#123C2314yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×#123C2314yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2311yescharacteristic
342C2×C22⋊Q8C2314yes—
343C2×C22⋊Q8C2312yes—
344C2×#121C2312yes—
345C2×#121C2312yes—
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2314yes—
351C2×#121C2312yes—
352C2×#121C2311yescharacteristic
353C2×#121C2311yescharacteristic
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2314yes—
357C2×#121C2312yes—
358C2×#121C2312yes—
359C2×#121C2314yes—
360C2×#121C2311yescharacteristic
361C2×#121C2312yes—
362C2×#121C2312yes—
363C2×#121C2314yes—
364C2×#121C2314yes—
365C2×#121C2312yes—
366C2×#121C2314yes—
367C2×#121C2314yes—
368C2×#120C2314yes—
369C2×#120C2314yes—
370C2×#120C2314yes—
371C2×#120C2314yes—
372C2×#120C2314yes—
373C2×#120C2314yes—
374C4×#41—44no—
375C2×C4×Q8C2311yescharacteristic
376C2×C4×Q8C2311yescharacteristic
377C2×C4×Q8C2311yescharacteristic
378C2×C4×Q8C2312yes—
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2311yescharacteristic
381C2×C4×D4C2311yescharacteristic
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2312yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2311yescharacteristic
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2314yes—
401C2×C4×D4C2314yes—
402C2×#117C2312yes—
403C2×#117C2312yes—
404C2×#117C2312yes—
405C2×#117C2312yes—
406C2×#117C2312yes—
407C2×#117C2311yescharacteristic
408C2×#117C2312yes—
409C2×#117C2311yescharacteristic
410C2×#117C2311yescharacteristic
411C2×#117C2314yes—
412C22×C4⋊C4C2312yes—
413C22×C4⋊C4C2312yes—
414C22×C4⋊C4C2312yes—
415C22×C22⋊C4C2314yes—
416C22×C22⋊C4C2314yes—
417C22×C22⋊C4C2314yes—
418C22×C42C2311yescharacteristic
419C22×C42C2312yes—
420#401C2314yes—
421#400C2314yes—
422#400C2314yes—
423#400C2314yes—
424#400C2314yes—
425#400C2312yes—
426#400C2312yes—
427#400C2314yes—
428#399C2312yes—
429#399C2314yes—
430#399C2312yes—
431#399C2314yes—
432#399C2314yes—
433#399C2314yes—
434#399C2314yes—
435#398C2312yes—
436#398C2312yes—
437#398C2314yes—
438#398C2312yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2312yes—
443#398C2314yes—
444#398C2312yes—
445#398C2312yes—
446#397C2312yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2312yes—
464#397C2312yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2312yes—
471#397C2312yes—
472#397C2312yes—
473#397C2312yes—
474#397C2312yes—
475#397C2312yes—
476#397C2312yes—
477#397C2314yes—
478#396C2312yes—
479#396C2312yes—
480#396C2312yes—
481#396C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2312yes—
486#396C2312yes—
487#396C2314yes—
488#396C2314yes—
489#396C2314yes—
490#396C2314yes—
491#396C2312yes—
492#396C2312yes—
493#396C2312yes—
494#396C2314yes—
495#396C2314yes—
496#395C2314yes—
497#394C2314yes—
498#394C2312yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2312yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2312yes—
512#394C2312yes—
513#394C2314yes—
514#394C2312yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2312yes—
526#394C2312yes—
527#394C2312yes—
528#394C2312yes—
529#394C2312yes—
530#394C2314yes—
531#394C2312yes—
532#394C2314yes—
533#394C2312yes—
534#394C2314yes—
535#394C2312yes—
536#394C2312yes—
537#394C2312yes—
538#394C2312yes—
539#394C2314yes—
540#394C2314yes—
541#394C2314yes—
542#394C2314yes—
543#393C2314yes—
544#392C2314yes—
545#392C2312yes—
546#392C2314yes—
547#392C2314yes—
548#392C2314yes—
549#392C2314yes—
550#392C2314yes—
551#392C2314yes—
552#392C2314yes—
553#392C2314yes—
554#392C2314yes—
555#392C2314yes—
556#392C2312yes—
557#392C2314yes—
558#392C2312yes—
559#392C2314yes—
560#392C2312yes—
561#392C2314yes—
562#392C2314yes—
563#392C2314yes—
564#391C2311yescharacteristic
565#391C2311yescharacteristic
566#391C2312yes—
567#391C2311yescharacteristic
568#391C2312yes—
569#391C2312yes—
570#391C2312yes—
571#391C2312yes—
572#391C2311yescharacteristic
573#390C2311yescharacteristic
574#390C2311yescharacteristic
575#390C2312yes—
576#390C2312yes—
577#390C2311yescharacteristic
578#390C2311yescharacteristic
579#390C2312yes—
580#390C2312yes—
581#390C2312yes—
582#390C2312yes—
583#390C2312yes—
584#390C2312yes—
585#390C2314yes—
586#390C2312yes—
587#390C2312yes—
588#390C2314yes—
589#390C2311yescharacteristic
590#390C2312yes—
591#390C2312yes—
592#390C2314yes—
593#390C2314yes—
594#390C2314yes—
595#390C2314yes—
596#390C2312yes—
597#390C2312yes—
598#390C2312yes—
599#390C2314yes—
600#390C2314yes—
601#390C2312yes—
602#390C2312yes—
603#390C2312yes—
604#390C2312yes—
605#390C2311yescharacteristic
606#390C2311yescharacteristic
607#390C2311yescharacteristic
608#390C2311yescharacteristic
609#390C2311yescharacteristic
610#390C2311yescharacteristic
611#390C2311yescharacteristic
612#390C2314yes—
613#390C2312yes—
614#390C2314yes—
615#390C2312yes—
616#389C2311yescharacteristic
617#389C2311yescharacteristic
618#389C2312yes—
619#389C2312yes—
620#389C2312yes—
621#389C2312yes—
622#389C2312yes—
623#389C2312yes—
624#389C2312yes—
625#389C2311yescharacteristic
626#389C2312yes—
627#389C2314yes—
628#389C2314yes—
629#389C2312yes—
630#389C2312yes—
631#389C2311yescharacteristic
632#389C2312yes—
633#389C2314yes—
634#389C2312yes—
635#389C2312yes—
636#389C2312yes—
637#389C2312yes—
638#389C2312yes—
639#389C2311yescharacteristic
640#389C2311yescharacteristic
641#389C2311yescharacteristic
642#389C2311yescharacteristic
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2312yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2312yes—
658#388C2314yes—
659#388C2312yes—
660#388C2314yes—
661#388C2312yes—
662#388C2312yes—
663#388C2312yes—
664#388C2312yes—
665#388C2314yes—
666#388C2312yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2312yes—
671#388C2312yes—
672#388C2312yes—
673#388C2312yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2312yes—
678#388C2312yes—
679#387C2312yes—
680#387C2312yes—
681#387C2312yes—
682#387C2312yes—
683#387C2314yes—
684#387C2314yes—
685#387C2314yes—
686#387C2314yes—
687#387C2314yes—
688#387C2314yes—
689#387C2314yes—
690#387C2314yes—
691#387C2314yes—
692#387C2314yes—
693#387C2312yes—
694#387C2312yes—
695#387C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
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#386C2312yes—
712#386C2312yes—
713#386C2312yes—
714#386C2312yes—
715#386C2314yes—
716#386C2314yes—
717#386C2314yes—
718#386C2314yes—
719#386C2314yes—
720#386C2314yes—
721#386C2314yes—
722#386C2312yes—
723#386C2312yes—
724#386C2314yes—
725#385C2312yes—
726#385C2312yes—
727#385C2314yes—
728#385C2314yes—
729#385C2314yes—
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#385C2314yes—
735#385C2314yes—
736#385C2314yes—
737#385C2312yes—
738#385C2312yes—
739#385C2314yes—
740#384C2311yescharacteristic
741#384C2311yescharacteristic
742#384C2311yescharacteristic
743#384C2311yescharacteristic
744#384C2311yescharacteristic
745#384C2312yes—
746#383C2314yes—
747#382C2311yescharacteristic
748#382C2312yes—
749#382C2311yescharacteristic
750#382C2311yescharacteristic
751#382C2312yes—
752#382C2312yes—
753#382C2312yes—
754#382C2314yes—
755#382C2314yes—
756#381C2314yes—
757#381C2314yes—
758#381C2314yes—
759#381C2314yes—
760#381C2314yes—
761#380C2311yescharacteristic
762#380C2312yes—
763#380C2312yes—
764#380C2312yes—
765#380C2312yes—
766#380C2314yes—
767#380C2314yes—
768#380C2312yes—
769#380C2312yes—
770#380C2314yes—
771#380C2314yes—
772#380C2314yes—
773#380C2312yes—
774#380C2312yes—
775#380C2312yes—
776#380C2312yes—
777#380C2312yes—
778#380C2312yes—
779#380C2314yes—
780#380C2311yescharacteristic
781#379C2314yes—
782#379C2314yes—
783#379C2314yes—
784#379C2314yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2311yescharacteristic
800C4×C4⋊C4C2311yescharacteristic
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815#376C2311yescharacteristic
816#376C2311yescharacteristic
817C43C2311yescharacteristic
818C43C2311yescharacteristic
819C25C2414yes—
820C2×#41—24no—
821C2×#41—42no—
822C2×#41—42no—
823C2×#41—44no—
824C2×#41—44no—
825C2×#41—44no—
826C22×Q8C2411yescharacteristic
827C22×Q8C2411yescharacteristic
828C22×Q8C2412yes—
829C22×D4—28no—
830C22×D4—44no—
831C22×D4—44no—
832C22×D4—44no—
833C22×D4—44no—
834C22×D4—44no—
835C22×D4C2411yescharacteristic
836C22×D4C2411yescharacteristic
837C22×D4C2412yes—
838C22×D4C2412yes—
839C22×D4C2411yescharacteristic
840C22×D4C2411yescharacteristic
841C22×D4C2412yes—
842C22×D4C2414yes—
843C22×D4C2412yes—
844C22×D4C2412yes—
845C22×D4C2412yes—
846C22×D4C2414yes—
847C22×D4C2412yes—
848C22×D4C2412yes—
849C22×D4C2412yes—
850C22×D4C2414yes—
851C22×D4C2412yes—
852C22×D4C2412yes—
853C22×D4C2414yes—
854C22×D4C2414yes—
855C22×D4C2414yes—
856C22×D4C2414yes—
857C22×D4C2414yes—
858C22×D4C2414yes—
859C22×D4C2414yes—
860C23×C4C2412yes—
861C23×C4C2412yes—
862C23×C4C2412yes—
863C23×C4C2411yescharacteristic
864C23×C4C2412yes—
865C23×C4C2411yescharacteristic
866C23×C4C2414yes—
867C23×C4C2412yes—
868C23×C4C2411yescharacteristic
869C23×C4C2412yes—
870C23×C4C2414yes—
871C23×C4C2414yes—
872C23×C4C2414yes—
873C23×C4C2414yes—
874C4⋊Q8—24no—
875C4⋊Q8—42no—
876#127—24no—
877#127—24no—
878#127—44no—
879#127—42no—
880#127—44no—
881#127—84no—
882#126—44no—
883#125—42no—
884#125—42no—
885#125—44no—
886#125—44no—
887#124—24no—
888#124—42no—
889#124—42no—
890#124—44no—
891#124—48no—
892#124—82no—
893#124—82no—
894#123—48no—
895#123—48no—
896#123—44no—
897#123—48no—
898#123—48no—
899#123—84no—
900#123—84no—
901C22⋊Q8—48no—
902C22⋊Q8—42no—
903C22⋊Q8—44no—
904C22⋊Q8—44no—
905C22⋊Q8—44no—
906C22⋊Q8—82no—
907#121—28no—
908#121—48no—
909#121—48no—
910#121—48no—
911#121—42no—
912#121—44no—
913#121—44no—
914#121—44no—
915#121—44no—
916#121—42no—
917#121—44no—
918#121—42no—
919#121—44no—
920#121—44no—
921#121—44no—
922#121—44no—
923#121—44no—
924#121—44no—
925#121—44no—
926#121—48no—
927#121—48no—
928#121—82no—
929#121—84no—
930#121—84no—
931#120—48no—
932#120—48no—
933#120—48no—
934#120—84no—
935#120—84no—
936#120—84no—
937C4×Q8—24no—
938C4×Q8—24no—
939C4×Q8—42no—
940C4×Q8—82no—
941C4×D4—28no—
942C4×D4—24no—
943C4×D4—24no—
944C4×D4—24no—
945C4×D4—24no—
946C4×D4—44no—
947C4×D4—42no—
948C4×D4—44no—
949C4×D4—44no—
950C4×D4—44no—
951C4×D4—44no—
952C4×D4—44no—
953C4×D4—44no—
954C4×D4—44no—
955C4×D4—44no—
956C4×D4—44no—
957C4×D4—44no—
958C4×D4—44no—
959C4×D4—44no—
960C4×D4—44no—
961C4×D4—84no—
962C4×D4—84no—
963C4×D4—82no—
964#117—44no—
965#117—42no—
966#117—42no—
967#117—44no—
968#117—44no—
969#117—44no—
970#117—42no—
971#117—44no—
972#117—44no—
973#117—84no—
974C2×C4⋊C4—44no—
975C2×C4⋊C4—44no—
976C2×C4⋊C4—44no—
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C22⋊C4—48no—
1036C2×C22⋊C4—48no—
1037C2×C22⋊C4—84no—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2411yescharacteristic
1067C2×C22⋊C4C2411yescharacteristic
1068C2×C22⋊C4C2411yescharacteristic
1069C2×C22⋊C4C2411yescharacteristic
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C42—24no—
1119C2×C42—44no—
1120C2×C42C2411yescharacteristic
1121C2×C42C2411yescharacteristic
1122C2×C42C2411yescharacteristic
1123C2×C42C2411yescharacteristic
1124C2×C42C2412yes—
1125C2×C42C2412yes—
1126C2×C42C2411yescharacteristic
1127C2×C42C2411yescharacteristic
1128C2×C42C2411yescharacteristic
1129C2×C42C2412yes—
1130C2×C42C2411yescharacteristic
1131C2×C42C2411yescharacteristic
1132C2×C42C2412yes—
1133C2×C42C2411yescharacteristic
1134C2×C42C2411yescharacteristic
1135C2×C42C2414yes—
1136C2×C42C2412yes—
1137C2×C42C2414yes—
1138C2×C42C2414yes—
1139C2×C42C2411yescharacteristic
1140C2×C42C2414yes—
1141C2×C42C2412yes—
1142C2×C42C2411yescharacteristic
1143C2×C42C2411yescharacteristic
1144C2×C42C2411yescharacteristic
1145C2×C42C2411yescharacteristic
1146#95C2411yescharacteristic
1147#95C2411yescharacteristic
1148#95C2411yescharacteristic
1149#95C2411yescharacteristic
1150#95C2411yescharacteristic
1151#95C2411yescharacteristic
1152#95C2411yescharacteristic
1153#95C2411yescharacteristic
1154#95C2412yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2412yes—
1179#95C2414yes—
1180#95C2412yes—
1181#95C2414yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2414yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2414yes—
1202C24—28no—
1203C24—44no—
1204C24—44no—
1205C24—44no—
1206C24—44no—
1207C24—44no—
1208C24—44no—
1209C24C2512yes—
1210C24C2514yes—
1211C24C2512yes—
1212C24C2512yes—
1213C24C2511yescharacteristic
1214C24C2512yes—
1215#41—416no—
1216#41—816no—
1217C2×Q8—22no—
1218C2×Q8—22no—
1219C2×Q8—22no—
1220C2×Q8—22no—
1221C2×Q8—24no—
1222C2×Q8—22no—
1223C2×Q8—22no—
1224C2×Q8—42no—
1225C2×Q8—42no—
1226C2×D4—24no—
1227C2×D4—28no—
1228C2×D4—24no—
1229C2×D4—24no—
1230C2×D4—28no—
1231C2×D4—22no—
1232C2×D4—22no—
1233C2×D4—22no—
1234C2×D4—22no—
1235C2×D4—22no—
1236C2×D4—24no—
1237C2×D4—24no—
1238C2×D4—24no—
1239C2×D4—24no—
1240C2×D4—22no—
1241C2×D4—24no—
1242C2×D4—22no—
1243C2×D4—22no—
1244C2×D4—24no—
1245C2×D4—22no—
1246C2×D4—22no—
1247C2×D4—22no—
1248C2×D4—24no—
1249C2×D4—42no—
1250C2×D4—42no—
1251C2×D4—42no—
1252C2×D4—42no—
1253C2×D4—42no—
1254C2×D4—42no—
1255C2×D4—42no—
1256C2×D4—42no—
1257C2×D4—42no—
1258C2×D4—44no—
1259C2×D4—44no—
1260C2×D4—42no—
1261C2×D4—44no—
1262C2×D4—44no—
1263C2×D4—44no—
1264C2×D4—42no—
1265C2×D4—42no—
1266C2×D4—42no—
1267C2×D4—44no—
1268C2×D4—42no—
1269C2×D4—44no—
1270C2×D4—44no—
1271C2×D4—42no—
1272C2×D4—42no—
1273C2×D4—42no—
1274C2×D4—42no—
1275C2×D4—42no—
1276C2×D4—44no—
1277C2×D4—42no—
1278C2×D4—42no—
1279C2×D4—42no—
1280C2×D4—42no—
1281C2×D4—44no—
1282C2×D4—44no—
1283C2×D4—44no—
1284C2×D4—44no—
1285C2×D4—44no—
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—816no—
1301C2×D4—816no—
1302C2×D4H(5,𝔽2)14yes—
1303C22×C4—24no—
1304C22×C4—28no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—24no—
1308C22×C4—24no—
1309C22×C4—24no—
1310C22×C4—24no—
1311C22×C4—24no—
1312C22×C4—22no—
1313C22×C4—24no—
1314C22×C4—24no—
1315C22×C4—24no—
1316C22×C4—24no—
1317C22×C4—22no—
1318C22×C4—22no—
1319C22×C4—22no—
1320C22×C4—24no—
1321C22×C4—24no—
1322C22×C4—24no—
1323C22×C4—22no—
1324C22×C4—42no—
1325C22×C4—42no—
1326C22×C4—42no—
1327C22×C4—44no—
1328C22×C4—42no—
1329C22×C4—44no—
1330C22×C4—44no—
1331C22×C4—44no—
1332C22×C4—42no—
1333C22×C4—41no—
1334C22×C4—41no—
1335C22×C4—44no—
1336C22×C4—44no—
1337C22×C4—44no—
1338C22×C4—44no—
1339C22×C4—44no—
1340C22×C4—44no—
1341C22×C4—44no—
1342C22×C4—44no—
1343C22×C4—44no—
1344C22×C4—44no—
1345C22×C4C2512yes—
1346C22×C4C2512yes—
1347C22×C4C2511yescharacteristic
1348C22×C4C2511yescharacteristic
1349C22×C4C2512yes—
1350C22×C4C2512yes—
1351C22×C4C2514yes—
1352C22×C4C2512yes—
1353C22×C4C2514yes—
1354C22×C4C2511yescharacteristic
1355C22×C4C2511yescharacteristic
1356C22×C4C2511yescharacteristic
1357C22×C4C2512yes—
1358C22×C4C2511yescharacteristic
1359C22×C4C2511yescharacteristic
1360C22×C4C2511yescharacteristic
1361C22×C4C2511yescharacteristic
1362C22×C4C2511yescharacteristic
1363C22×C4C2512yes—
1364C22×C4C2511yescharacteristic
1365C22×C4C2512yes—
1366C22×C4C2512yes—
1367C22×C4C2514yes—
1368C22×C4C2512yes—
1369C22×C4C2512yes—
1370C22×C4C2512yes—
1371C22×C4C2511yescharacteristic
1372C22×C4C2511yescharacteristic
1373C22×C4C2511yescharacteristic
1374C4⋊C4—22no—
1375C4⋊C4—24no—
1376C4⋊C4—22no—
1377C4⋊C4—22no—
1378C4⋊C4—22no—
1379C4⋊C4—24no—
1380C4⋊C4—24no—
1381C4⋊C4—22no—
1382C4⋊C4—24no—
1383C4⋊C4—24no—
1384C4⋊C4—22no—
1385C4⋊C4—24no—
1386C4⋊C4—22no—
1387C4⋊C4—22no—
1388C4⋊C4—24no—
1389C4⋊C4—24no—
1390C4⋊C4—22no—
1391C4⋊C4—22no—
1392C4⋊C4—44no—
1393C4⋊C4—44no—
1394C4⋊C4—44no—
1395C4⋊C4—41no—
1396C4⋊C4—41no—
1397C4⋊C4—42no—
1398C4⋊C4—42no—
1399C4⋊C4—41no—
1400C4⋊C4—41no—
1401C4⋊C4—42no—
1402C4⋊C4—42no—
1403C4⋊C4—42no—
1404C4⋊C4—42no—
1405C4⋊C4—42no—
1406C4⋊C4—42no—
1407C4⋊C4—44no—
1408C4⋊C4—42no—
1409C4⋊C4—42no—
1410C4⋊C4—42no—
1411C4⋊C4—42no—
1412C4⋊C4—42no—
1413C4⋊C4—42no—
1414C4⋊C4—42no—
1415C4⋊C4—42no—
1416C4⋊C4—42no—
1417C4⋊C4—44no—
1418C4⋊C4—42no—
1419C4⋊C4—44no—
1420C4⋊C4—44no—
1421C4⋊C4—44no—
1422C4⋊C4—44no—
1423C4⋊C4—44no—
1424C4⋊C4—44no—
1425C4⋊C4—44no—
1426C4⋊C4—42no—
1427C4⋊C4—42no—
1428C4⋊C4—42no—
1429C4⋊C4—42no—
1430C4⋊C4—42no—
1431C4⋊C4—42no—
1432C22⋊C4—24no—
1433C22⋊C4—28no—
1434C22⋊C4—28no—
1435C22⋊C4—24no—
1436C22⋊C4—24no—
1437C22⋊C4—24no—
1438C22⋊C4—24no—
1439C22⋊C4—24no—
1440C22⋊C4—42no—
1441C22⋊C4—42no—
1442C22⋊C4—44no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—44no—
1446C22⋊C4—42no—
1447C22⋊C4—44no—
1448C22⋊C4—44no—
1449C22⋊C4—44no—
1450C22⋊C4—41no—
1451C22⋊C4—41no—
1452C22⋊C4—41no—
1453C22⋊C4—42no—
1454C22⋊C4—42no—
1455C22⋊C4—41no—
1456C22⋊C4—42no—
1457C22⋊C4—42no—
1458C22⋊C4—42no—
1459C22⋊C4—42no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4—42no—
1463C22⋊C4—42no—
1464C22⋊C4—42no—
1465C22⋊C4—44no—
1466C22⋊C4—42no—
1467C22⋊C4—42no—
1468C22⋊C4—42no—
1469C22⋊C4—42no—
1470C22⋊C4—42no—
1471C22⋊C4—44no—
1472C22⋊C4—42no—
1473C22⋊C4—42no—
1474C22⋊C4—42no—
1475C22⋊C4—44no—
1476C22⋊C4—42no—
1477C22⋊C4—42no—
1478C22⋊C4—44no—
1479C22⋊C4—44no—
1480C22⋊C4—44no—
1481C22⋊C4—42no—
1482C22⋊C4—42no—
1483C22⋊C4—42no—
1484C22⋊C4—42no—
1485C22⋊C4—44no—
1486C22⋊C4—44no—
1487C22⋊C4—44no—
1488C22⋊C4—44no—
1489C22⋊C4—44no—
1490C22⋊C4—42no—
1491C22⋊C4—42no—
1492C22⋊C4—42no—
1493C22⋊C4—44no—
1494C22⋊C4—44no—
1495C22⋊C4—44no—
1496C22⋊C4—44no—
1497C22⋊C4—44no—
1498C22⋊C4—42no—
1499C22⋊C4—44no—
1500C22⋊C4—42no—
1501C22⋊C4—44no—
1502C22⋊C4—44no—
1503C22⋊C4—44no—
1504C22⋊C4—42no—
1505C22⋊C4—44no—
1506C22⋊C4—42no—
1507C22⋊C4—42no—
1508C22⋊C4—44no—
1509C22⋊C4—44no—
1510C22⋊C4—42no—
1511C22⋊C4—42no—
1512C42—22no—
1513C42—22no—
1514C42—22no—
1515C42—24no—
1516C42—22no—
1517C42—24no—
1518C42—24no—
1519C42—22no—
1520C42—22no—
1521C42—22no—
1522C42—22no—
1523C42—22no—
1524C42—24no—
1525C42—22no—
1526C42—22no—
1527C42—42no—
1528C42—42no—
1529C42—44no—
1530C42—44no—
1531C42—44no—
1532C42—41no—
1533C42—44no—
1534C42—41no—
1535C42—41no—
1536C42—41no—
1537C42H(5,𝔽2)14yes—
1538C23—22no—
1539C23—22no—
1540C23—22no—
1541C23—22no—
1542C23—22no—
1543C23—22no—
1544C23—22no—
1545C23—22no—
1546C23—22no—
1547C23—22no—
1548C23—21no—
1549C23—22no—
1550C23—24no—
1551C23—22no—
1552C23—21no—
1553C23—24no—
1554C23—22no—
1555C23—22no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—22no—
1560C23—24no—
1561C23—22no—
1562C23—22no—
1563C23—24no—
1564C23—22no—
1565C23—22no—
1566C23—22no—
1567C23—24no—
1568C23—22no—
1569C23—21no—
1570C23—24no—
1571C23—24no—
1572C23—22no—
1573C23—22no—
1574C23—22no—
1575C23—22no—
1576C23—22no—
1577C23—22no—
1578C23—21no—
1579C23—88no—
1580C23—88no—
1581C23—88no—
1582C23—88no—
1583C23—88no—
1584C23—164no—
1585C23—164no—
1586C23C2×H(5,𝔽2)14yes—
1587C23C2611yescharacteristic
1588Q8—44no—
1589Q8—44no—
1590Q8—84no—
1591D4—28no—
1592D4—48no—
1593D4—44no—
1594D4—48no—
1595D4—44no—
1596D4—48no—
1597D4—44no—
1598D4—84no—
1599D4—88no—
1600D4—84no—
1601D4—84no—
1602D4—88no—
1603D4—84no—
1604D4—84no—
1605D4—84no—
1606D4—88no—
1607D4—84no—
1608D4—84no—
1609D4—88no—
1610D4—88no—
1611D4—164no—
1612D4—164no—
1613D4—164no—
1614D4—164no—
1615D4—164no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—24no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—24no—
1638C2×C4—24no—
1639C2×C4—22no—
1640C2×C4—21no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—22no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—22no—
1656C2×C4—21no—
1657C2×C4—22no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—24no—
1665C2×C4—24no—
1666C2×C4—21no—
1667C2×C4—22no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—22no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—21no—
1675C2×C4—22no—
1676C2×C4—22no—
1677C2×C4—22no—
1678C2×C4—24no—
1679C2×C4—22no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—24no—
1686C2×C4—24no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—22no—
1691C2×C4—22no—
1692C2×C4—24no—
1693C2×C4—22no—
1694C2×C4—22no—
1695C2×C4—21no—
1696C2×C4—48no—
1697C2×C4—48no—
1698C2×C4—44no—
1699C2×C4—48no—
1700C2×C4—44no—
1701C2×C4—48no—
1702C2×C4—48no—
1703C2×C4—82no—
1704C2×C4—88no—
1705C2×C4—84no—
1706C2×C4—88no—
1707C2×C4—164no—
1708C2×C4—164no—
1709C2×C4—164no—
1710C2×C4C2×H(5,𝔽2)12yes—
1711C2×C4C2×H(5,𝔽2)12yes—
1712C2×C4C2×H(5,𝔽2)12yes—
1713C2×C4C2×H(5,𝔽2)12yes—
1714C2×C4#58512yes—
1715C2×C4#58512yes—
1716C2×C4#58512yes—
1717C22—24no—
1718C22—24no—
1719C22—24no—
1720C22—42no—
1721C22—42no—
1722C22—42no—
1723C22—42no—
1724C22—42no—
1725C22—41no—
1726C22—42no—
1727C22—44no—
1728C22—42no—
1729C22—41no—
1730C22—42no—
1731C22—42no—
1732C22—44no—
1733C22—42no—
1734C22—42no—
1735C22—44no—
1736C22—42no—
1737C22—41no—
1738C22—42no—
1739C22—42no—
1740C22—42no—
1741C22—42no—
1742C22—41no—
1743C22—44no—
1744C22—41no—
1745C22—42no—
1746C22—42no—
1747C22—42no—
1748C22—44no—
1749C22—42no—
1750C22—42no—
1751C22—44no—
1752C22—41no—
1753C22—42no—
1754C22—41no—
1755C22—42no—
1756C22—42no—
1757C22—44no—
1758C22—42no—
1759C22—1616no—
1760C22C22×H(5,𝔽2)11yescharacteristic
1761C22C22×H(5,𝔽2)11yescharacteristic
1762C22C2×#58511yescharacteristic
1763C22C2×#58511yescharacteristic
1764C22C2×#58511yescharacteristic
1765C22H(7,𝔽2)11yescharacteristic
1766C22H(7,𝔽2)11yescharacteristic
1767C4—22no—
1768C4—41no—
1769C4—42no—
1770C4—42no—
1771C4—41no—
1772C4—42no—
1773C4—44no—
1774C4—42no—
1775C4—42no—
1776C4—44no—
1777C4—41no—
1778C4—42no—
1779C4—44no—
1780C4—41no—
1781C4—41no—
1782C4—41no—
1783C4—41no—
1784C4—41no—
1785C4—41no—
1786C4—42no—
1787C4—41no—
1788C4—42no—
1789C4—41no—
1790C4—42no—
1791C4—42no—
1792C4—42no—
1793C4—42no—
1794C4#354214yes—
1795C4#356214yes—
1796C2—44no—
1797C2—81no—
1798C2—82no—
1799C2—82no—
1800C2—84no—
1801C2—82no—
1802C2C2×#354211yescharacteristic
1803C2C2×#356211yescharacteristic
1804C2#6288011yescharacteristic
1805C2#6292011yescharacteristic
1806C2#6292011yescharacteristic
1807C2#6293811yescharacteristic
1808C2#6293811yescharacteristic
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. #59652C2semidirect
2. #59647C2semidirect
3. #59436C2semidirect
4. #59412C2semidirect
5. #58937C2semidirect
6. #56450C2semidirect
7. #56356C2semidirect
8. #54833C2semidirect
9. #53134C2semidirect
10. #53073C2semidirect
11. #53069C2semidirect
12. #52971C2semidirect
13. #45019C2semidirect
14. #45002C2semidirect
15. #42685C2semidirect
16. #42673C2semidirect
17. #42584C2semidirect
18. #42539C2semidirect
19. #42468C2semidirect
20. #42438C2semidirect
21. #39506C2semidirect
22. #39378C2semidirect
23. #39138C2semidirect
24. #39059C2semidirect
25. #38953C2semidirect
26. #38952C2semidirect
27. #38922C2semidirect
28. #38112C2semidirect
29. #37493C2semidirect
30. #37370C2semidirect
31. #36492C2semidirect
32. #36258C2semidirect
33. #35288C2semidirect
34. #34910C2semidirect
35. #34621C2semidirect
37. C2×#554C22semidirect
43. C2×#529C22semidirect
45. #2859C22semidirect
47. #2857C22semidirect
50. #2851C22semidirect
51. #2836C22semidirect
52. #2829C22semidirect
53. #2829C22semidirect
54. #2829C22semidirect
55. #2829C22semidirect
56. #2828C22semidirect
57. #2827C22semidirect
58. #2827C22semidirect
59. #2825C22semidirect
60. #2825C22semidirect
61. #2813C22semidirect
62. #2812C22semidirect
63. #2797C22semidirect
64. #2797C22semidirect
65. #2796C22semidirect
66. #2787C22semidirect
67. #2786C22semidirect
68. #2783C22semidirect
69. #2783C22semidirect
70. #2783C22semidirect
71. #2781C22semidirect
72. #2779C22semidirect
73. #2761C22semidirect
74. #2756C22semidirect
75. #2756C22semidirect
76. #2752C22semidirect
77. #2749C22semidirect
78. #2746C22semidirect
79. #2745C22semidirect
80. #2740C22semidirect
81. #2740C22semidirect
82. #2740C22semidirect
83. #2735C22semidirect
84. #2730C22semidirect
85. #2724C22semidirect
86. #2715C22semidirect
87. #2714C22semidirect
88. #2709C22semidirect
89. #2706C22semidirect
90. #2706C22semidirect
91. #2703C22semidirect
92. #2701C22semidirect
93. #2701C22semidirect
94. #2701C22semidirect
95. #2701C22semidirect
96. #2699C22semidirect
97. #2697C22semidirect
98. #2693C22semidirect
99. #2688C22semidirect
101. #2678C22semidirect
102. #2673C22semidirect
103. #2673C22semidirect
104. #2672C22semidirect
105. #2672C22semidirect
106. #2672C22semidirect
109. #2669C22semidirect
110. #2668C22semidirect
111. #2661C22semidirect
112. #2651C22semidirect
113. #2651C22semidirect
114. #2648C22semidirect
115. #2648C22semidirect
116. #2648C22semidirect
117. #2648C22semidirect
118. #2647C22semidirect
120. #2644C22semidirect
121. #2644C22semidirect
123. #2635C22semidirect
124. #2629C22semidirect
125. #2629C22semidirect
128. #2624C22semidirect
129. #2624C22semidirect
130. #2622C22semidirect
131. #2622C22semidirect
132. #2621C22semidirect
133. #2620C22semidirect
136. #2619C22semidirect
137. #2619C22semidirect
138. #2617C22semidirect
139. #2602C22semidirect
140. #2602C22semidirect
141. #2602C22semidirect
142. #2601C22semidirect
143. #2601C22semidirect
144. #2600C22semidirect
145. #2599C22semidirect
146. #2570C22semidirect
147. #2567C22semidirect
149. #2565C22semidirect
151. #2562C22semidirect
153. #2545C22semidirect
155. #2544C22semidirect
157. #2541C22semidirect
158. #2541C22semidirect
159. #2540C22semidirect
163. #2537C22semidirect
164. #2537C22semidirect
166. #2535C22semidirect
167. #2535C22semidirect
168. #2535C22semidirect
169. #2518C22semidirect
170. #2514C22semidirect
173. #2513C22semidirect
174. #2513C22semidirect
175. #2508C22semidirect
176. #2508C22semidirect
177. #2504C22semidirect
178. #2501C22semidirect
180. #2500C22semidirect
181. #2499C22semidirect
182. #2495C22semidirect
183. #2494C22semidirect
185. #2490C22semidirect
186. #2490C22semidirect
187. #2490C22semidirect
188. #2489C22semidirect
189. #2489C22semidirect
190. #2486C22semidirect
191. #2486C22semidirect
192. #2485C22semidirect
193. #2483C22semidirect
194. #2482C22semidirect
195. #2477C22semidirect
196. #2471C22semidirect
197. #2463C22semidirect
198. #2457C22semidirect
199. #2454C22semidirect
200. #2454C22semidirect
201. #2454C22semidirect
202. #2448C22semidirect
204. #2447C22semidirect
205. #2447C22semidirect
206. #2445C22semidirect
207. #2445C22semidirect
208. #2442C22semidirect
209. #2441C22semidirect
210. #2441C22semidirect
214. #2432C22semidirect
216. #2431C22semidirect
219. #2427C22semidirect
220. #2427C22semidirect
222. #2426C22semidirect
223. #2426C22semidirect
226. #2424C22semidirect
228. #2421C22semidirect
230. #2420C22semidirect
231. #2420C22semidirect
232. #2420C22semidirect
233. #2418C22semidirect
234. #2418C22semidirect
237. #2416C22semidirect
238. #2416C22semidirect
239. #2416C22semidirect
240. #2415C22semidirect
241. #2415C22semidirect
245. #2412C22semidirect
247. #2411C22semidirect
254. #2407C22semidirect
255. #2395C22semidirect
256. #2395C22semidirect
257. #2392C22semidirect
258. #2392C22semidirect
259. #2392C22semidirect
260. #2392C22semidirect
261. #2366C22semidirect
262. #2363C22semidirect
264. #2361C22semidirect
265. #2355C22semidirect
266. #2355C22semidirect
268. #2352C22semidirect
269. #2352C22semidirect
271. D4×C4⋊C4C22semidirect
272. #2344C22semidirect
275. #2324C22semidirect
276. #2324C22semidirect
277. #2319C22semidirect
278. #2316C22semidirect
279. #2314C22semidirect
280. #2311C22semidirect
282. C4×C4⋊Q8C22semidirect
283. C4×C4⋊Q8C22semidirect
287. C4×#125C22semidirect
289. C4×#124C22semidirect
291. C4×#121C22semidirect
292. C4×#121C22semidirect
294. #2293C22semidirect
296. #2290C22semidirect
297. #2290C22semidirect
298. C4×#117C22semidirect

Maximal subgroups

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

subgroupindex
#596522
#596472
#594362
#594122
#589372
#564502
#563562
#548332
#531342
#530732
#530692
#529712
#450192
#450022
#426852
#426732
#425842
#425392
#424682
#424382
#395062
#393782
#391382
#390592
#389532
#389522
#389222
#381122
#374932
#373702
#364922
#362582
#352882
#349102
#346212