Finite Group Databasebeta

← #8174522

Subgroups — #8174522

Order 512.

4954 conjugacy classes of subgroups.

The subgroup lattice has 1840 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59233C211yesmaximal, characteristic, complemented
2#59217C211yesmaximal, characteristic, complemented
3#59050C211yesmaximal, characteristic, complemented
4#59034C211yesmaximal, characteristic, complemented
5#57547C214yesmaximal, complemented
6#57340C214yesmaximal, complemented
7#56242C214yesmaximal, complemented
8#56096C214yesmaximal, complemented
9#53103C212yesmaximal, complemented
10#53060C212yesmaximal, complemented
11#53054C212yesmaximal, complemented
12#52967C212yesmaximal, complemented
13#44981C212yesmaximal, complemented
14#44916C212yesmaximal, complemented
15#42923C212yesmaximal, complemented
16#42894C212yesmaximal, complemented
17#42783C212yesmaximal, complemented
18#42778C212yesmaximal, complemented
19#42613C212yesmaximal, complemented
20#42462C212yesmaximal, complemented
21#39479C211yesmaximal, characteristic, complemented
22#39471C211yesmaximal, characteristic, complemented
23#39469C211yesmaximal, characteristic, complemented
24#39350C211yesmaximal, characteristic, complemented
25#39158C211yesmaximal, characteristic, complemented
26#39156C211yesmaximal, characteristic, complemented
27#37859C212yesmaximal, complemented
28#37669C212yesmaximal, complemented
29#37445C212yesmaximal, complemented
30#37271C212yesmaximal, complemented
31#36160C211yesmaximal, characteristic, complemented
32#36100C211yesmaximal, characteristic, complemented
33#35297C211yesmaximal, characteristic, complemented
34#34935C211yesmaximal, characteristic, complemented
35#34609C211yesmaximal, characteristic, complemented
36C2×#555C2211yescharacteristic
37C2×#547C2211yescharacteristic
38C2×#542C2212yes—
39C2×#533C2211yescharacteristic, complemented
40C2×#532C2211yescharacteristic, complemented
41C2×#525C2212yes—
42C2×#525C2212yes—
43C2×C4×#41C2211yescharacteristic
44C22×C4×D4C2211yescharacteristic
45#2857C2211yescharacteristic
46#2857C2211yescharacteristic
47#2857C2211yescharacteristic, complemented
48#2857C2211yescharacteristic, complemented
49#2848C2212yes—
50#2847C2212yes—
51#2832C2214yes—
52#2832C2214yescomplemented
53#2831C2214yescomplemented
54#2829C2214yes—
55#2829C2214yes—
56#2829C2214yescomplemented
57#2828C2214yes—
58#2828C2214yes—
59#2825C2214yescomplemented
60#2815C2214yes—
61#2812C2214yes—
62#2812C2214yes—
63#2808C2214yescomplemented
64#2803C2214yescomplemented
65#2800C2214yescomplemented
66#2798C2214yescomplemented
67#2797C2214yescomplemented
68#2786C2214yescomplemented
69#2785C2214yescomplemented
70#2781C2214yescomplemented
71#2777C2214yescomplemented
72#2773C2214yescomplemented
73#2772C2214yescomplemented
74#2759C2214yescomplemented
75#2755C2214yescomplemented
76#2754C2214yescomplemented
77#2753C2214yescomplemented
78#2752C2214yes—
79#2746C2214yescomplemented
80#2745C2214yescomplemented
81#2740C2214yescomplemented
82#2739C2214yescomplemented
83#2736C2214yes—
84#2735C2214yes—
85#2733C2214yes—
86#2730C2214yescomplemented
87#2723C2214yescomplemented
88#2717C2214yes—
89#2715C2214yescomplemented
90#2714C2214yescomplemented
91#2714C2214yescomplemented
92#2712C2214yescomplemented
93#2710C2214yes—
94#2710C2214yescomplemented
95#2706C2214yes—
96#2705C2214yescomplemented
97#2703C2214yescomplemented
98#2702C2214yes—
99#2700C2214yescomplemented
100#2698C2214yescomplemented
101#2696C2214yescomplemented
102#2696C2214yescomplemented
103#2692C2214yescomplemented
104#2691C2214yescomplemented
105#2678C2214yes—
106#2678C2214yes—
107#2676C2214yescomplemented
108#2676C2214yescomplemented
109#2670C2214yes—
110#2670C2214yes—
111#2663C2214yescomplemented
112#2662C2214yescomplemented
113#2661C2214yescomplemented
114#2649C2214yescomplemented
115#2648C2214yescomplemented
116#2644C2212yes—
117#2644C2212yes—
118#2644C2214yescomplemented
119#2638C2214yescomplemented
120#2635C2212yes—
121#2635C2212yescomplemented
122#2635C2214yescomplemented
123#2632C2212yescomplemented
124#2631C2212yes—
125#2628C2211yescharacteristic
126#2628C2211yescharacteristic, complemented
127#2625C2212yes—
128#2625C2212yescomplemented
129#2624C2212yes—
130#2624C2211yescharacteristic, complemented
131#2624C2211yescharacteristic, complemented
132#2619C2211yescharacteristic
133#2619C2211yescharacteristic, complemented
134#2616C2212yes—
135#2615C2212yes—
136#2615C2212yes—
137#2615C2211yescharacteristic
138#2615C2211yescharacteristic
139#2610C2214yescomplemented
140#2602C2214yes—
141#2602C2214yes—
142#2589C2214yescomplemented
143#2584C2212yescomplemented
144#2581C2212yescomplemented
145#2575C2214yes—
146#2574C2214yescomplemented
147#2563C2211yescharacteristic
148#2563C2211yescharacteristic, complemented
149#2563C2212yescomplemented
150#2563C2212yescomplemented
151#2562C2212yes—
152#2562C2212yes—
153#2562C2212yescomplemented
154#2552C2211yescharacteristic, complemented
155#2551C2211yescharacteristic, complemented
156#2547C2212yes—
157#2547C2211yescharacteristic, complemented
158#2547C2212yescomplemented
159#2542C2211yescharacteristic
160#2540C2212yescomplemented
161#2540C2212yescomplemented
162#2538C2211yescharacteristic
163#2538C2211yescharacteristic
164#2538C2212yescomplemented
165#2537C2211yescharacteristic
166#2537C2211yescharacteristic
167#2537C2211yescharacteristic
168#2537C2211yescharacteristic
169#2537C2212yescomplemented
170#2536C2212yes—
171#2536C2212yes—
172#2536C2212yescomplemented
173#2535C2212yes—
174#2535C2212yescomplemented
175#2534C2212yes—
176#2534C2212yes—
177#2530C2214yescomplemented
178#2527C2214yes—
179#2526C2214yescomplemented
180#2512C2212yescomplemented
181#2509C2212yescomplemented
182#2499C2212yescomplemented
183#2497C2212yescomplemented
184#2497C2212yescomplemented
185#2496C2212yescomplemented
186#2496C2212yescomplemented
187#2494C2212yescomplemented
188#2494C2212yescomplemented
189#2492C2212yescomplemented
190#2491C2212yes—
191#2491C2212yes—
192#2491C2212yescomplemented
193#2490C2212yes—
194#2490C2212yes—
195#2490C2212yes—
196#2490C2212yes—
197#2487C2212yescomplemented
198#2486C2212yes—
199#2486C2211yescharacteristic
200#2486C2211yescharacteristic
201#2485C2212yes—
202#2485C2212yes—
203#2485C2212yes—
204#2485C2212yescomplemented
205#2485C2212yescomplemented
206#2485C2212yescomplemented
207#2485C2212yescomplemented
208#2476C2214yescomplemented
209#2472C2214yes—
210#2467C2214yescomplemented
211#2459C2214yes—
212#2459C2214yes—
213#2458C2214yescomplemented
214#2457C2214yes—
215#2455C2214yes—
216#2451C2212yescomplemented
217#2448C2214yescomplemented
218#2447C2212yescomplemented
219#2442C2212yescomplemented
220#2441C2212yescomplemented
221#2441C2212yescomplemented
222#2440C2212yescomplemented
223#2439C2212yescomplemented
224#2439C2212yescomplemented
225#2431C2212yescomplemented
226#2428C2212yescomplemented
227#2427C2214yescomplemented
228#2426C2212yescomplemented
229#2422C2212yes—
230#2421C2212yescomplemented
231#2421C2212yescomplemented
232#2420C2212yes—
233#2418C2214yes—
234#2416C2212yes—
235#2416C2212yes—
236#2415C2212yes—
237#2415C2212yes—
238#2415C2212yescomplemented
239#2415C2212yescomplemented
240#2415C2212yescomplemented
241#2414C2212yes—
242#2414C2212yes—
243#2414C2212yes—
244#2414C2212yes—
245#2414C2212yes—
246#2414C2212yescomplemented
247#2414C2212yescomplemented
248#2408C2212yes—
249#2408C2212yes—
250#2408C2211yescharacteristic
251#2408C2211yescharacteristic
252#2407C2212yes—
253#2407C2212yescomplemented
254#2407C2212yescomplemented
255#2398C2212yescomplemented
256#2397C2212yes—
257#2392C2212yes—
258#2392C2212yes—
259#2388C2212yes—
260#2388C2212yescomplemented
261#2369C2211yescharacteristic, complemented
262#2365C2211yescharacteristic, complemented
263#2363C2212yes—
264#2363C2212yescomplemented
265#2362C2212yescomplemented
266#2361C2212yes—
267#2354C2211yescharacteristic
268#2354C2211yescharacteristic
269#2354C2211yescharacteristic, complemented
270#2354C2212yescomplemented
271#2352C2212yes—
272#2352C2212yescomplemented
273D4×C4⋊C4C2212yes—
274D4×C4⋊C4C2211yescharacteristic, complemented
275#2346C2212yescomplemented
276#2346C2212yescomplemented
277#2345C2212yescomplemented
278#2341C2212yescomplemented
279#2331C2212yescomplemented
280#2330C2212yescomplemented
281#2323C2212yes—
282#2323C2212yescomplemented
283#2314C2212yes—
284#2311C2212yescomplemented
285#2311C2212yescomplemented
286C4×#121C2211yescharacteristic
287C4×#121C2211yescharacteristic
288C4×#121C2211yescharacteristic
289C4×#121C2211yescharacteristic
290C4×#121C2211yescharacteristic
291C4×#121C2211yescharacteristic
292C4×#121C2211yescharacteristic, complemented
293C4×#121C2211yescharacteristic, complemented
294#2285C2211yescharacteristic
295#2285C2211yescharacteristic, complemented
296#2283C2211yescharacteristic, complemented
297#2280C2212yes—
298#2280C2212yes—
299C22×#41C2311yescharacteristic
300C22×#41C2312yes—
301C22×#41C2312yes—
302C23×D4C2311yescharacteristic
303C24×C4C2312yes—
304#555—44no—
305#547—44no—
306#542—48no—
307#533—44no—
308#532—44no—
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2311yescharacteristic
314C2×#127C2311yescharacteristic
315C2×#126C2314yes—
316C2×#126C2314yes—
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#124C2312yes—
320C2×#124C2314yes—
321C2×#124C2314yes—
322C2×#124C2312yes—
323C2×#124C2314yes—
324C2×#124C2314yes—
325#525—48no—
326#525—48no—
327C2×#123C2312yes—
328C2×#123C2312yes—
329C2×#123C2314yes—
330C2×#123C2314yes—
331C2×#123C2314yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2314yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2312yes—
344C2×#121C2311yescharacteristic
345C2×#121C2311yescharacteristic
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2311yescharacteristic
349C2×#121C2311yescharacteristic
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2311yescharacteristic
353C2×#121C2311yescharacteristic
354C2×#121C2311yescharacteristic
355C2×#121C2311yescharacteristic
356C2×#121C2312yes—
357C2×#121C2312yes—
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2311yescharacteristic
363C2×#121C2311yescharacteristic
364C2×#121C2314yes—
365C2×#121C2314yes—
366C2×#120C2312yes—
367C2×#120C2314yes—
368C2×#120C2312yes—
369C2×#120C2314yes—
370C4×#41—44no—
371C2×C4×Q8C2312yes—
372C2×C4×Q8C2311yescharacteristic
373C2×C4×Q8C2312yes—
374C2×C4×Q8C2311yescharacteristic
375C2×C4×Q8C2312yes—
376C2×C4×D4—44no—
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2311yescharacteristic
381C2×C4×D4C2311yescharacteristic
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2314yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2311yescharacteristic
390C2×C4×D4C2314yes—
391C2×C4×D4C2311yescharacteristic
392C2×C4×D4C2311yescharacteristic
393C2×C4×D4C2311yescharacteristic
394C2×C4×D4C2311yescharacteristic
395C2×C4×D4C2311yescharacteristic
396C2×C4×D4C2312yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2311yescharacteristic
401C2×C4×D4C2312yes—
402C2×C4×D4C2312yes—
403C2×#117C2312yes—
404C2×#117C2312yes—
405C2×#117C2312yes—
406C2×#117C2311yescharacteristic
407C2×#117C2311yescharacteristic
408C2×#117C2312yes—
409C2×#117C2312yes—
410C2×#117C2312yes—
411C2×#117C2312yes—
412C2×#117C2311yescharacteristic
413C2×#117C2312yes—
414C22×C4⋊C4C2312yes—
415C22×C4⋊C4C2312yes—
416C22×C4⋊C4C2311yescharacteristic
417C22×C22⋊C4C2312yes—
418C22×C42C2311yescharacteristic
419C22×C42C2311yescharacteristic
420C22×C42C2311yescharacteristic
421#401C2314yes—
422#400C2314yes—
423#400C2314yes—
424#400C2314yes—
425#400C2314yes—
426#400C2312yes—
427#400C2314yes—
428#400C2314yes—
429#400C2314yes—
430#400C2312yes—
431#400C2314yes—
432#399C2312yes—
433#399C2312yes—
434#399C2314yes—
435#399C2312yes—
436#399C2314yes—
437#399C2312yes—
438#399C2314yes—
439#399C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2312yes—
445#398C2312yes—
446#398C2314yes—
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#397C2314yes—
464#397C2312yes—
465#397C2312yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2312yes—
471#397C2312yes—
472#397C2314yes—
473#397C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2312yes—
480#396C2312yes—
481#396C2312yes—
482#396C2314yes—
483#396C2312yes—
484#396C2314yes—
485#395C2312yes—
486#395C2314yes—
487#395C2312yes—
488#395C2314yes—
489#395C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2312yes—
494#394C2314yes—
495#394C2312yes—
496#394C2312yes—
497#394C2312yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2312yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2312yes—
514#394C2314yes—
515#394C2314yes—
516#394C2312yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2312yes—
522#394C2312yes—
523#394C2312yes—
524#394C2312yes—
525#394C2312yes—
526#394C2312yes—
527#394C2312yes—
528#394C2314yes—
529#393C2314yes—
530#393C2314yes—
531#393C2314yes—
532#393C2314yes—
533#393C2314yes—
534#393C2314yes—
535#393C2314yes—
536#393C2314yes—
537#393C2312yes—
538#393C2312yes—
539#393C2312yes—
540#393C2312yes—
541#392C2312yes—
542#392C2314yes—
543#392C2314yes—
544#392C2314yes—
545#392C2312yes—
546#392C2314yes—
547#392C2314yes—
548#392C2314yes—
549#392C2314yes—
550#392C2314yes—
551#392C2312yes—
552#392C2314yes—
553#392C2312yes—
554#392C2312yes—
555#392C2312yes—
556#392C2312yes—
557#392C2312yes—
558#392C2312yes—
559#392C2314yes—
560#392C2314yes—
561#392C2312yes—
562#392C2312yes—
563#392C2312yes—
564#392C2314yes—
565#391C2314yes—
566#391C2314yes—
567#391C2314yes—
568#391C2314yes—
569#391C2312yes—
570#391C2312yes—
571#391C2312yes—
572#391C2312yes—
573#391C2314yes—
574#391C2312yes—
575#391C2312yes—
576#391C2314yes—
577#390C2312yes—
578#390C2314yes—
579#390C2312yes—
580#390C2314yes—
581#390C2314yes—
582#390C2314yes—
583#390C2314yes—
584#390C2314yes—
585#390C2314yes—
586#390C2314yes—
587#390C2311yescharacteristic
588#390C2314yes—
589#390C2312yes—
590#390C2312yes—
591#390C2312yes—
592#390C2314yes—
593#390C2312yes—
594#390C2311yescharacteristic
595#390C2311yescharacteristic
596#390C2311yescharacteristic
597#390C2311yescharacteristic
598#390C2311yescharacteristic
599#390C2314yes—
600#390C2314yes—
601#390C2311yescharacteristic
602#390C2311yescharacteristic
603#390C2314yes—
604#389C2314yes—
605#389C2312yes—
606#389C2314yes—
607#389C2312yes—
608#389C2312yes—
609#389C2312yes—
610#389C2312yes—
611#389C2312yes—
612#389C2312yes—
613#389C2312yes—
614#389C2311yescharacteristic
615#389C2314yes—
616#389C2314yes—
617#389C2311yescharacteristic
618#389C2311yescharacteristic
619#389C2312yes—
620#389C2311yescharacteristic
621#389C2311yescharacteristic
622#389C2312yes—
623#389C2312yes—
624#389C2314yes—
625#389C2314yes—
626#389C2312yes—
627#389C2311yescharacteristic
628#389C2312yes—
629#389C2312yes—
630#389C2312yes—
631#389C2311yescharacteristic
632#389C2311yescharacteristic
633#389C2312yes—
634#389C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2312yes—
668#388C2312yes—
669#388C2312yes—
670#388C2312yes—
671#388C2312yes—
672#388C2312yes—
673#388C2312yes—
674#388C2312yes—
675#388C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#387C2314yes—
682#387C2314yes—
683#387C2314yes—
684#387C2314yes—
685#387C2314yes—
686#387C2314yes—
687#387C2314yes—
688#387C2314yes—
689#387C2314yes—
690#387C2314yes—
691#387C2314yes—
692#387C2314yes—
693#387C2314yes—
694#387C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2312yes—
705#386C2312yes—
706#386C2314yes—
707#386C2312yes—
708#386C2312yes—
709#386C2312yes—
710#386C2314yes—
711#386C2312yes—
712#386C2314yes—
713#386C2312yes—
714#386C2312yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#384C2312yes—
724#384C2312yes—
725#384C2311yescharacteristic
726#384C2311yescharacteristic
727#384C2311yescharacteristic
728#384C2311yescharacteristic
729#383C2312yes—
730#382C2312yes—
731#382C2312yes—
732#382C2314yes—
733#382C2314yes—
734#382C2312yes—
735#382C2311yescharacteristic
736#382C2311yescharacteristic
737#382C2312yes—
738#381C2312yes—
739#381C2312yes—
740#381C2314yes—
741#381C2314yes—
742#381C2312yes—
743#380C2312yes—
744#380C2311yescharacteristic
745#380C2312yes—
746#380C2312yes—
747#380C2312yes—
748#380C2312yes—
749#380C2312yes—
750#380C2311yescharacteristic
751#380C2312yes—
752#380C2312yes—
753#380C2312yes—
754#380C2312yes—
755#380C2312yes—
756#380C2311yescharacteristic
757#380C2311yescharacteristic
758#380C2312yes—
759#380C2312yes—
760#380C2312yes—
761#380C2312yes—
762#380C2312yes—
763#380C2311yescharacteristic
764#380C2311yescharacteristic
765#380C2312yes—
766#380C2311yescharacteristic
767#380C2312yes—
768#380C2312yes—
769#380C2312yes—
770#380C2312yes—
771#380C2314yes—
772#380C2314yes—
773#380C2312yes—
774#380C2312yes—
775#380C2312yes—
776#380C2311yescharacteristic
777#380C2311yescharacteristic
778#380C2311yescharacteristic
779#380C2311yescharacteristic
780#380C2312yes—
781#380C2311yescharacteristic
782#380C2312yes—
783#380C2312yes—
784#380C2312yes—
785#380C2312yes—
786#379C2314yes—
787#379C2312yes—
788#379C2312yes—
789#379C2314yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2314yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2311yescharacteristic
802C4×C4⋊C4C2311yescharacteristic
803C4×C4⋊C4C2312yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2314yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2312yes—
817#376C2312yes—
818#376C2314yes—
819C25C2412yes—
820C2×#41—24no—
821C2×#41—42no—
822C2×#41—42no—
823C2×#41—44no—
824C2×#41—44no—
825C2×#41—44no—
826C2×#41—44no—
827C2×#41—44no—
828C2×#41—44no—
829C22×Q8C2412yes—
830C22×Q8C2411yescharacteristic
831C22×Q8C2412yes—
832C22×Q8C2414yes—
833C22×Q8C2412yes—
834C22×D4—42no—
835C22×D4—42no—
836C22×D4—42no—
837C22×D4C2411yescharacteristic
838C22×D4C2411yescharacteristic
839C22×D4C2411yescharacteristic
840C22×D4C2411yescharacteristic
841C22×D4C2412yes—
842C22×D4C2411yescharacteristic
843C22×D4C2411yescharacteristic
844C22×D4C2411yescharacteristic
845C22×D4C2412yes—
846C22×D4C2412yes—
847C22×D4C2412yes—
848C22×D4C2414yes—
849C22×D4C2412yes—
850C22×D4C2412yes—
851C22×D4C2412yes—
852C22×D4C2412yes—
853C22×D4C2412yes—
854C22×D4C2412yes—
855C22×D4C2414yes—
856C22×D4C2414yes—
857C22×D4C2414yes—
858C22×D4C2412yes—
859C22×D4C2412yes—
860C22×D4C2412yes—
861C23×C4—28no—
862C23×C4—44no—
863C23×C4—44no—
864C23×C4C2412yes—
865C23×C4C2412yes—
866C23×C4C2411yescharacteristic
867C23×C4C2411yescharacteristic
868C23×C4C2412yes—
869C23×C4C2411yescharacteristic
870C23×C4C2411yescharacteristic
871C23×C4C2412yes—
872C23×C4C2411yescharacteristic
873C23×C4C2411yescharacteristic
874C23×C4C2411yescharacteristic
875C23×C4C2412yes—
876C23×C4C2411yescharacteristic
877C23×C4C2412yes—
878C23×C4C2411yescharacteristic
879C23×C4C2412yes—
880C23×C4C2414yes—
881C23×C4C2414yes—
882C4⋊Q8—24no—
883C4⋊Q8—24no—
884C4⋊Q8—44no—
885C4⋊Q8—42no—
886C4⋊Q8—44no—
887#127—42no—
888#126—48no—
889#126—84no—
890#125—44no—
891#125—44no—
892#124—44no—
893#124—44no—
894#124—48no—
895#124—48no—
896#124—84no—
897#124—84no—
898#123—48no—
899#123—48no—
900#123—48no—
901#123—44no—
902#123—44no—
903C22⋊Q8—28no—
904C22⋊Q8—48no—
905C22⋊Q8—44no—
906C22⋊Q8—44no—
907C22⋊Q8—44no—
908C22⋊Q8—44no—
909C22⋊Q8—44no—
910C22⋊Q8—44no—
911C22⋊Q8—44no—
912C22⋊Q8—44no—
913C22⋊Q8—82no—
914C22⋊Q8—82no—
915#121—24no—
916#121—24no—
917#121—44no—
918#121—42no—
919#121—44no—
920#121—42no—
921#121—42no—
922#121—44no—
923#121—44no—
924#121—42no—
925#121—42no—
926#121—42no—
927#121—44no—
928#121—44no—
929#121—44no—
930#121—42no—
931#121—42no—
932#121—44no—
933#121—44no—
934#121—44no—
935#121—84no—
936#121—84no—
937#120—44no—
938#120—44no—
939#120—48no—
940#120—84no—
941C4×Q8—42no—
942C4×Q8—42no—
943C4×Q8—44no—
944C4×Q8—44no—
945C4×Q8—44no—
946C4×D4—24no—
947C4×D4—24no—
948C4×D4—24no—
949C4×D4—24no—
950C4×D4—44no—
951C4×D4—42no—
952C4×D4—42no—
953C4×D4—44no—
954C4×D4—44no—
955C4×D4—44no—
956C4×D4—44no—
957C4×D4—44no—
958C4×D4—44no—
959C4×D4—42no—
960C4×D4—42no—
961C4×D4—42no—
962C4×D4—42no—
963C4×D4—42no—
964C4×D4—42no—
965C4×D4—44no—
966C4×D4—44no—
967C4×D4—44no—
968C4×D4—44no—
969C4×D4—44no—
970C4×D4—48no—
971C4×D4—48no—
972#117—28no—
973#117—42no—
974#117—42no—
975#117—42no—
976#117—44no—
977#117—44no—
978#117—44no—
979#117—44no—
980#117—44no—
981#117—44no—
982#117—82no—
983C2×C4⋊C4—44no—
984C2×C4⋊C4—42no—
985C2×C4⋊C4—44no—
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2414yes—
1045C2×C22⋊C4—44no—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2411yescharacteristic
1058C2×C22⋊C4C2411yescharacteristic
1059C2×C22⋊C4C2411yescharacteristic
1060C2×C22⋊C4C2411yescharacteristic
1061C2×C22⋊C4C2411yescharacteristic
1062C2×C22⋊C4C2411yescharacteristic
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2412yes—
1124C2×C42—24no—
1125C2×C42—24no—
1126C2×C42—24no—
1127C2×C42C2411yescharacteristic
1128C2×C42C2411yescharacteristic
1129C2×C42C2411yescharacteristic
1130C2×C42C2412yes—
1131C2×C42C2412yes—
1132C2×C42C2411yescharacteristic
1133C2×C42C2411yescharacteristic
1134C2×C42C2411yescharacteristic
1135C2×C42C2412yes—
1136C2×C42C2412yes—
1137C2×C42C2411yescharacteristic
1138C2×C42C2411yescharacteristic
1139C2×C42C2411yescharacteristic
1140C2×C42C2414yes—
1141C2×C42C2414yes—
1142C2×C42C2414yes—
1143C2×C42C2414yes—
1144C2×C42C2414yes—
1145C2×C42C2414yes—
1146C2×C42C2414yes—
1147C2×C42C2414yes—
1148C2×C42C2411yescharacteristic
1149#95C2412yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2414yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2412yes—
1167#95C2414yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2414yes—
1177#95C2412yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2412yes—
1181#95C2414yes—
1182#95C2412yes—
1183#95C2414yes—
1184#95C2412yes—
1185#95C2414yes—
1186#95C2412yes—
1187#95C2414yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2414yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2414yes—
1205C24—24no—
1206C24—42no—
1207C24—42no—
1208C24—42no—
1209C24—42no—
1210C24—42no—
1211C24—42no—
1212C24C2512yes—
1213C24C2512yes—
1214C24C2512yes—
1215C24C2512yes—
1216C24C2511yescharacteristic
1217C24C2511yescharacteristic
1218C24C2511yescharacteristic
1219#41—416no—
1220#41—816no—
1221#41—816no—
1222C2×Q8—24no—
1223C2×Q8—24no—
1224C2×Q8—22no—
1225C2×Q8—24no—
1226C2×Q8—24no—
1227C2×Q8—41no—
1228C2×Q8—41no—
1229C2×Q8—42no—
1230C2×Q8—42no—
1231C2×Q8—42no—
1232C2×Q8—42no—
1233C2×Q8—42no—
1234C2×Q8—44no—
1235C2×Q8—44no—
1236C2×Q8—44no—
1237C2×D4—24no—
1238C2×D4—22no—
1239C2×D4—22no—
1240C2×D4—24no—
1241C2×D4—22no—
1242C2×D4—22no—
1243C2×D4—22no—
1244C2×D4—22no—
1245C2×D4—22no—
1246C2×D4—22no—
1247C2×D4—22no—
1248C2×D4—22no—
1249C2×D4—22no—
1250C2×D4—22no—
1251C2×D4—22no—
1252C2×D4—22no—
1253C2×D4—22no—
1254C2×D4—42no—
1255C2×D4—41no—
1256C2×D4—41no—
1257C2×D4—41no—
1258C2×D4—42no—
1259C2×D4—42no—
1260C2×D4—42no—
1261C2×D4—42no—
1262C2×D4—41no—
1263C2×D4—41no—
1264C2×D4—41no—
1265C2×D4—42no—
1266C2×D4—42no—
1267C2×D4—42no—
1268C2×D4—42no—
1269C2×D4—44no—
1270C2×D4—42no—
1271C2×D4—42no—
1272C2×D4—42no—
1273C2×D4—42no—
1274C2×D4—44no—
1275C2×D4—42no—
1276C2×D4—42no—
1277C2×D4—42no—
1278C2×D4—44no—
1279C2×D4—42no—
1280C2×D4—42no—
1281C2×D4—42no—
1282C2×D4—42no—
1283C2×D4—42no—
1284C2×D4—44no—
1285C2×D4—42no—
1286C2×D4—42no—
1287C2×D4—42no—
1288C2×D4—42no—
1289C2×D4—44no—
1290C2×D4—42no—
1291C2×D4—42no—
1292C2×D4—42no—
1293C2×D4—42no—
1294C2×D4—42no—
1295C2×D4—42no—
1296C2×D4—42no—
1297C2×D4—42no—
1298C2×D4—42no—
1299C2×D4—44no—
1300C2×D4—42no—
1301C2×D4—42no—
1302C2×D4—42no—
1303C2×D4—44no—
1304C2×D4—44no—
1305C2×D4—44no—
1306C2×D4—44no—
1307C2×D4—44no—
1308C2×D4—44no—
1309C2×D4—416no—
1310C22×C4—22no—
1311C22×C4—22no—
1312C22×C4—24no—
1313C22×C4—22no—
1314C22×C4—22no—
1315C22×C4—22no—
1316C22×C4—22no—
1317C22×C4—22no—
1318C22×C4—22no—
1319C22×C4—24no—
1320C22×C4—24no—
1321C22×C4—24no—
1322C22×C4—24no—
1323C22×C4—24no—
1324C22×C4—22no—
1325C22×C4—22no—
1326C22×C4—24no—
1327C22×C4—24no—
1328C22×C4—24no—
1329C22×C4—24no—
1330C22×C4—22no—
1331C22×C4—22no—
1332C22×C4—22no—
1333C22×C4—22no—
1334C22×C4—24no—
1335C22×C4—24no—
1336C22×C4—22no—
1337C22×C4—24no—
1338C22×C4—22no—
1339C22×C4—22no—
1340C22×C4—22no—
1341C22×C4—22no—
1342C22×C4—22no—
1343C22×C4—24no—
1344C22×C4—24no—
1345C22×C4—41no—
1346C22×C4—41no—
1347C22×C4—42no—
1348C22×C4—44no—
1349C22×C4—42no—
1350C22×C4—42no—
1351C22×C4—44no—
1352C22×C4—41no—
1353C22×C4—41no—
1354C22×C4—42no—
1355C22×C4—42no—
1356C22×C4—42no—
1357C22×C4—41no—
1358C22×C4—41no—
1359C22×C4—44no—
1360C22×C4—44no—
1361C22×C4—44no—
1362C22×C4—44no—
1363C22×C4—816no—
1364C22×C4H(5,𝔽2)14yes—
1365C22×C4C2511yescharacteristic
1366C22×C4C2512yes—
1367C22×C4C2512yes—
1368C22×C4C2512yes—
1369C22×C4C2511yescharacteristic
1370C22×C4C2511yescharacteristic
1371C22×C4C2512yes—
1372C22×C4C2512yes—
1373C22×C4C2512yes—
1374C22×C4C2512yes—
1375C22×C4C2512yes—
1376C22×C4C2514yes—
1377C22×C4C2514yes—
1378C22×C4C2512yes—
1379C22×C4C2512yes—
1380C22×C4C2514yes—
1381C22×C4C2512yes—
1382C22×C4C2511yescharacteristic
1383C22×C4C2511yescharacteristic
1384C22×C4C2512yes—
1385C22×C4C2511yescharacteristic
1386C22×C4C2511yescharacteristic
1387C22×C4C2511yescharacteristic
1388C22×C4C2514yes—
1389C22×C4C2511yescharacteristic
1390C22×C4C2511yescharacteristic
1391C22×C4C2511yescharacteristic
1392C22×C4C2511yescharacteristic
1393C4⋊C4—22no—
1394C4⋊C4—22no—
1395C4⋊C4—24no—
1396C4⋊C4—24no—
1397C4⋊C4—24no—
1398C4⋊C4—22no—
1399C4⋊C4—22no—
1400C4⋊C4—24no—
1401C4⋊C4—24no—
1402C4⋊C4—24no—
1403C4⋊C4—22no—
1404C4⋊C4—28no—
1405C4⋊C4—22no—
1406C4⋊C4—24no—
1407C4⋊C4—22no—
1408C4⋊C4—24no—
1409C4⋊C4—22no—
1410C4⋊C4—22no—
1411C4⋊C4—24no—
1412C4⋊C4—24no—
1413C4⋊C4—22no—
1414C4⋊C4—22no—
1415C4⋊C4—22no—
1416C4⋊C4—44no—
1417C4⋊C4—42no—
1418C4⋊C4—44no—
1419C4⋊C4—42no—
1420C4⋊C4—44no—
1421C4⋊C4—41no—
1422C4⋊C4—41no—
1423C4⋊C4—41no—
1424C4⋊C4—41no—
1425C4⋊C4—41no—
1426C4⋊C4—41no—
1427C4⋊C4—42no—
1428C4⋊C4—42no—
1429C4⋊C4—42no—
1430C4⋊C4—42no—
1431C4⋊C4—42no—
1432C4⋊C4—42no—
1433C4⋊C4—42no—
1434C4⋊C4—42no—
1435C4⋊C4—42no—
1436C4⋊C4—42no—
1437C4⋊C4—42no—
1438C4⋊C4—44no—
1439C4⋊C4—44no—
1440C4⋊C4—44no—
1441C4⋊C4—44no—
1442C4⋊C4—44no—
1443C4⋊C4—44no—
1444C4⋊C4—44no—
1445C4⋊C4—44no—
1446C4⋊C4—44no—
1447C4⋊C4—44no—
1448C4⋊C4—44no—
1449C4⋊C4—44no—
1450C4⋊C4—42no—
1451C4⋊C4—44no—
1452C22⋊C4—24no—
1453C22⋊C4—24no—
1454C22⋊C4—28no—
1455C22⋊C4—24no—
1456C22⋊C4—24no—
1457C22⋊C4—24no—
1458C22⋊C4—24no—
1459C22⋊C4—24no—
1460C22⋊C4—24no—
1461C22⋊C4—42no—
1462C22⋊C4—42no—
1463C22⋊C4—42no—
1464C22⋊C4—42no—
1465C22⋊C4—42no—
1466C22⋊C4—42no—
1467C22⋊C4—44no—
1468C22⋊C4—44no—
1469C22⋊C4—42no—
1470C22⋊C4—44no—
1471C22⋊C4—44no—
1472C22⋊C4—41no—
1473C22⋊C4—41no—
1474C22⋊C4—41no—
1475C22⋊C4—41no—
1476C22⋊C4—41no—
1477C22⋊C4—41no—
1478C22⋊C4—44no—
1479C22⋊C4—44no—
1480C22⋊C4—44no—
1481C22⋊C4—44no—
1482C22⋊C4—44no—
1483C22⋊C4—42no—
1484C22⋊C4—42no—
1485C22⋊C4—42no—
1486C22⋊C4—42no—
1487C22⋊C4—42no—
1488C22⋊C4—42no—
1489C22⋊C4—42no—
1490C22⋊C4—42no—
1491C22⋊C4—42no—
1492C22⋊C4—42no—
1493C22⋊C4—42no—
1494C22⋊C4—42no—
1495C22⋊C4—44no—
1496C22⋊C4—42no—
1497C22⋊C4—42no—
1498C22⋊C4—42no—
1499C22⋊C4—42no—
1500C22⋊C4—44no—
1501C22⋊C4—42no—
1502C22⋊C4—42no—
1503C22⋊C4—44no—
1504C22⋊C4—44no—
1505C22⋊C4—44no—
1506C22⋊C4—44no—
1507C22⋊C4—42no—
1508C22⋊C4—42no—
1509C22⋊C4—44no—
1510C22⋊C4—44no—
1511C22⋊C4—42no—
1512C22⋊C4—42no—
1513C22⋊C4—44no—
1514C22⋊C4—42no—
1515C22⋊C4—42no—
1516C22⋊C4—44no—
1517C22⋊C4—42no—
1518C22⋊C4—44no—
1519C22⋊C4—44no—
1520C22⋊C4—44no—
1521C22⋊C4—44no—
1522C22⋊C4—44no—
1523C22⋊C4—44no—
1524C22⋊C4—44no—
1525C22⋊C4—42no—
1526C22⋊C4—42no—
1527C22⋊C4—42no—
1528C22⋊C4—44no—
1529C22⋊C4—42no—
1530C42—22no—
1531C42—22no—
1532C42—22no—
1533C42—22no—
1534C42—22no—
1535C42—22no—
1536C42—22no—
1537C42—22no—
1538C42—22no—
1539C42—24no—
1540C42—24no—
1541C42—24no—
1542C42—24no—
1543C42—44no—
1544C42—44no—
1545C42—44no—
1546C42—44no—
1547C42—44no—
1548C42—44no—
1549C42—44no—
1550C42—44no—
1551C42H(5,𝔽2)14yes—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—22no—
1559C23—22no—
1560C23—22no—
1561C23—22no—
1562C23—22no—
1563C23—22no—
1564C23—21no—
1565C23—22no—
1566C23—22no—
1567C23—21no—
1568C23—21no—
1569C23—21no—
1570C23—22no—
1571C23—21no—
1572C23—22no—
1573C23—22no—
1574C23—21no—
1575C23—21no—
1576C23—22no—
1577C23—22no—
1578C23—22no—
1579C23—22no—
1580C23—22no—
1581C23—22no—
1582C23—22no—
1583C23—22no—
1584C23—22no—
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—21no—
1589C23—22no—
1590C23—21no—
1591C23—22no—
1592C23—22no—
1593C23—22no—
1594C23—22no—
1595C23—21no—
1596C23—22no—
1597C23—22no—
1598C23—21no—
1599C23—22no—
1600C23—48no—
1601C23—84no—
1602C23—84no—
1603C23—84no—
1604C23—84no—
1605C23—84no—
1606C23—84no—
1607C23C2×H(5,𝔽2)12yes—
1608C23C2611yescharacteristic
1609Q8—44no—
1610Q8—48no—
1611Q8—84no—
1612Q8—84no—
1613Q8—164no—
1614D4—44no—
1615D4—48no—
1616D4—44no—
1617D4—44no—
1618D4—48no—
1619D4—44no—
1620D4—44no—
1621D4—44no—
1622D4—44no—
1623D4—84no—
1624D4—84no—
1625D4—84no—
1626D4—84no—
1627D4—84no—
1628D4—88no—
1629D4—84no—
1630D4—84no—
1631D4—84no—
1632D4—84no—
1633D4—84no—
1634D4—84no—
1635D4—88no—
1636D4—164no—
1637D4—164no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—28no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—24no—
1660C2×C4—22no—
1661C2×C4—24no—
1662C2×C4—24no—
1663C2×C4—24no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—22no—
1670C2×C4—22no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—22no—
1676C2×C4—22no—
1677C2×C4—24no—
1678C2×C4—24no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—22no—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—24no—
1688C2×C4—22no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—22no—
1692C2×C4—22no—
1693C2×C4—24no—
1694C2×C4—22no—
1695C2×C4—22no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—22no—
1699C2×C4—22no—
1700C2×C4—24no—
1701C2×C4—24no—
1702C2×C4—24no—
1703C2×C4—22no—
1704C2×C4—22no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—22no—
1709C2×C4—22no—
1710C2×C4—21no—
1711C2×C4—22no—
1712C2×C4—24no—
1713C2×C4—21no—
1714C2×C4—22no—
1715C2×C4—44no—
1716C2×C4—44no—
1717C2×C4—44no—
1718C2×C4—48no—
1719C2×C4—48no—
1720C2×C4—44no—
1721C2×C4—48no—
1722C2×C4—48no—
1723C2×C4—44no—
1724C2×C4—44no—
1725C2×C4—82no—
1726C2×C4—82no—
1727C2×C4—84no—
1728C2×C4—84no—
1729C2×C4—84no—
1730C2×C4—88no—
1731C2×C4—164no—
1732C2×C4C2×H(5,𝔽2)12yes—
1733C2×C4C2×H(5,𝔽2)12yes—
1734C2×C4C2×H(5,𝔽2)12yes—
1735C2×C4C2×H(5,𝔽2)12yes—
1736C2×C4C2×H(5,𝔽2)12yes—
1737C2×C4#58512yes—
1738C2×C4#58512yes—
1739C2×C4#58512yes—
1740C22—22no—
1741C22—22no—
1742C22—22no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—42no—
1749C22—42no—
1750C22—41no—
1751C22—42no—
1752C22—42no—
1753C22—41no—
1754C22—41no—
1755C22—42no—
1756C22—42no—
1757C22—42no—
1758C22—42no—
1759C22—42no—
1760C22—41no—
1761C22—41no—
1762C22—42no—
1763C22—42no—
1764C22—42no—
1765C22—42no—
1766C22—42no—
1767C22—41no—
1768C22—41no—
1769C22—42no—
1770C22—42no—
1771C22—41no—
1772C22—42no—
1773C22—41no—
1774C22—42no—
1775C22—42no—
1776C22—42no—
1777C22—41no—
1778C22—42no—
1779C22—42no—
1780C22—41no—
1781C22—42no—
1782C22—42no—
1783C22—42no—
1784C22—42no—
1785C22—41no—
1786C22—41no—
1787C22—42no—
1788C22—42no—
1789C22—816no—
1790C22C22×H(5,𝔽2)11yescharacteristic
1791C22C22×H(5,𝔽2)11yescharacteristic
1792C22C2×#58511yescharacteristic
1793C22C2×#58511yescharacteristic
1794C22C2×#58511yescharacteristic
1795C22H(7,𝔽2)11yescharacteristic
1796C222−1+611yescharacteristic
1797C4—22no—
1798C4—22no—
1799C4—41no—
1800C4—41no—
1801C4—41no—
1802C4—42no—
1803C4—42no—
1804C4—41no—
1805C4—41no—
1806C4—41no—
1807C4—44no—
1808C4—42no—
1809C4—42no—
1810C4—42no—
1811C4—42no—
1812C4—44no—
1813C4—42no—
1814C4—42no—
1815C4—42no—
1816C4—42no—
1817C4—44no—
1818C4—42no—
1819C4—42no—
1820C4—41no—
1821C4—41no—
1822C4—44no—
1823C4#354014yes—
1824C4#354214yes—
1825C2—42no—
1826C2—81no—
1827C2—82no—
1828C2—82no—
1829C2—81no—
1830C2—82no—
1831C2—82no—
1832C2C2×#354211yescharacteristic
1833C2C2×#354011yescharacteristic
1834C2#6287511yescharacteristic
1835C2#6292511yescharacteristic
1836C2#6293011yescharacteristic
1837C2#6293611yescharacteristic
1838C2#6293711yescharacteristic
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. #59233C2semidirect
2. #59217C2semidirect
3. #59050C2semidirect
4. #59034C2semidirect
5. #57547C2semidirect
6. #57340C2semidirect
7. #56242C2semidirect
8. #56096C2semidirect
9. #53103C2semidirect
10. #53060C2semidirect
11. #53054C2semidirect
12. #52967C2semidirect
13. #44981C2semidirect
14. #44916C2semidirect
15. #42923C2semidirect
16. #42894C2semidirect
17. #42783C2semidirect
18. #42778C2semidirect
19. #42613C2semidirect
20. #42462C2semidirect
21. #39479C2semidirect
22. #39471C2semidirect
23. #39469C2semidirect
24. #39350C2semidirect
25. #39158C2semidirect
26. #39156C2semidirect
27. #37859C2semidirect
28. #37669C2semidirect
29. #37445C2semidirect
30. #37271C2semidirect
31. #36160C2semidirect
32. #36100C2semidirect
33. #35297C2semidirect
34. #34935C2semidirect
35. #34609C2semidirect
39. C2×#533C22semidirect
40. C2×#532C22semidirect
47. #2857C22semidirect
48. #2857C22semidirect
52. #2832C22semidirect
53. #2831C22semidirect
56. #2829C22semidirect
59. #2825C22semidirect
63. #2808C22semidirect
64. #2803C22semidirect
65. #2800C22semidirect
66. #2798C22semidirect
67. #2797C22semidirect
68. #2786C22semidirect
69. #2785C22semidirect
70. #2781C22semidirect
71. #2777C22semidirect
72. #2773C22semidirect
73. #2772C22semidirect
74. #2759C22semidirect
75. #2755C22semidirect
76. #2754C22semidirect
77. #2753C22semidirect
79. #2746C22semidirect
80. #2745C22semidirect
81. #2740C22semidirect
82. #2739C22semidirect
86. #2730C22semidirect
87. #2723C22semidirect
89. #2715C22semidirect
90. #2714C22semidirect
91. #2714C22semidirect
92. #2712C22semidirect
94. #2710C22semidirect
96. #2705C22semidirect
97. #2703C22semidirect
99. #2700C22semidirect
100. #2698C22semidirect
101. #2696C22semidirect
102. #2696C22semidirect
103. #2692C22semidirect
104. #2691C22semidirect
107. #2676C22semidirect
108. #2676C22semidirect
111. #2663C22semidirect
112. #2662C22semidirect
113. #2661C22semidirect
114. #2649C22semidirect
115. #2648C22semidirect
118. #2644C22semidirect
119. #2638C22semidirect
121. #2635C22semidirect
122. #2635C22semidirect
123. #2632C22semidirect
126. #2628C22semidirect
128. #2625C22semidirect
130. #2624C22semidirect
131. #2624C22semidirect
133. #2619C22semidirect
139. #2610C22semidirect
142. #2589C22semidirect
143. #2584C22semidirect
144. #2581C22semidirect
146. #2574C22semidirect
148. #2563C22semidirect
149. #2563C22semidirect
150. #2563C22semidirect
153. #2562C22semidirect
154. #2552C22semidirect
155. #2551C22semidirect
157. #2547C22semidirect
158. #2547C22semidirect
160. #2540C22semidirect
161. #2540C22semidirect
164. #2538C22semidirect
169. #2537C22semidirect
172. #2536C22semidirect
174. #2535C22semidirect
177. #2530C22semidirect
179. #2526C22semidirect
180. #2512C22semidirect
181. #2509C22semidirect
182. #2499C22semidirect
183. #2497C22semidirect
184. #2497C22semidirect
185. #2496C22semidirect
186. #2496C22semidirect
187. #2494C22semidirect
188. #2494C22semidirect
189. #2492C22semidirect
192. #2491C22semidirect
197. #2487C22semidirect
204. #2485C22semidirect
205. #2485C22semidirect
206. #2485C22semidirect
207. #2485C22semidirect
208. #2476C22semidirect
210. #2467C22semidirect
213. #2458C22semidirect
216. #2451C22semidirect
217. #2448C22semidirect
218. #2447C22semidirect
219. #2442C22semidirect
220. #2441C22semidirect
221. #2441C22semidirect
222. #2440C22semidirect
223. #2439C22semidirect
224. #2439C22semidirect
225. #2431C22semidirect
226. #2428C22semidirect
227. #2427C22semidirect
228. #2426C22semidirect
230. #2421C22semidirect
231. #2421C22semidirect
238. #2415C22semidirect
239. #2415C22semidirect
240. #2415C22semidirect
246. #2414C22semidirect
247. #2414C22semidirect
253. #2407C22semidirect
254. #2407C22semidirect
255. #2398C22semidirect
260. #2388C22semidirect
261. #2369C22semidirect
262. #2365C22semidirect
264. #2363C22semidirect
265. #2362C22semidirect
269. #2354C22semidirect
270. #2354C22semidirect
272. #2352C22semidirect
274. D4×C4⋊C4C22semidirect
275. #2346C22semidirect
276. #2346C22semidirect
277. #2345C22semidirect
278. #2341C22semidirect
279. #2331C22semidirect
280. #2330C22semidirect
282. #2323C22semidirect
284. #2311C22semidirect
285. #2311C22semidirect
292. C4×#121C22semidirect
293. C4×#121C22semidirect
295. #2285C22semidirect
296. #2283C22semidirect

Maximal subgroups

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

subgroupindex
#592332
#592172
#590502
#590342
#575472
#573402
#562422
#560962
#531032
#530602
#530542
#529672
#449812
#449162
#429232
#428942
#427832
#427782
#426132
#424622
#394792
#394712
#394692
#393502
#391582
#391562
#378592
#376692
#374452
#372712
#361602
#361002
#352972
#349352
#346092