Finite Group Databasebeta

← #8107406

Subgroups — #8107406

Order 512.

5157 conjugacy classes of subgroups.

The subgroup lattice has 1631 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53152C212yesmaximal, complemented
2#53135C212yesmaximal, complemented
3#52717C212yesmaximal, complemented
4#52643C212yesmaximal, complemented
5#52431C212yesmaximal, complemented
6#52397C212yesmaximal, complemented
7#45162C212yesmaximal, complemented
8#45023C212yesmaximal, complemented
9#43467C212yesmaximal, complemented
10#43442C212yesmaximal, complemented
11#43265C212yesmaximal, complemented
12#43220C212yesmaximal, complemented
13#42982C211yesmaximal, characteristic, complemented
14#42980C211yesmaximal, characteristic, complemented
15#42906C212yesmaximal, complemented
16#42684C211yesmaximal, characteristic, complemented
17#42673C211yesmaximal, characteristic, complemented
18#42541C212yesmaximal, complemented
19#41228C214yesmaximal, complemented
20#41079C214yesmaximal, complemented
21#40889C214yesmaximal, complemented
22#40808C214yesmaximal, complemented
23#36168C212yesmaximal, complemented
24#36156C212yesmaximal, complemented
25#36148C212yesmaximal, complemented
26#36096C212yesmaximal, complemented
27#35325C211yesmaximal, characteristic, complemented
28#35262C211yesmaximal, characteristic, complemented
29#35077C212yesmaximal, complemented
30#35024C212yesmaximal, complemented
31C2×#2392C211yesmaximal, characteristic, complemented
32C2×#552C2212yescomplemented
33C2×#546C2212yescomplemented
34C2×#533C2211yescharacteristic, complemented
35C2×#525C2212yes—
36C22×#121C2211yescharacteristic
37C22×C4×D4C2212yes—
38C22×C4×D4C2211yescharacteristic, complemented
39C22×#117C2211yescharacteristic
40#2855C2212yescomplemented
41#2854C2212yes—
42#2854C2212yes—
43#2851C2212yescomplemented
44#2850C2212yes—
45#2848C2212yes—
46#2848C2212yescomplemented
47#2847C2212yes—
48#2837C2214yescomplemented
49#2837C2214yescomplemented
50#2836C2214yescomplemented
51#2834C2214yescomplemented
52#2831C2214yescomplemented
53#2830C2212yescomplemented
54#2829C2214yescomplemented
55#2828C2214yescomplemented
56#2826C2212yes—
57#2825C2214yescomplemented
58#2824C2214yescomplemented
59#2822C2212yescomplemented
60#2813C2214yescomplemented
61#2812C2212yes—
62#2803C2214yescomplemented
63#2803C2214yescomplemented
64#2793C2214yescomplemented
65#2793C2214yescomplemented
66#2789C2212yescomplemented
67#2785C2212yescomplemented
68#2779C2214yescomplemented
69#2778C2214yes—
70#2778C2214yescomplemented
71#2770C2214yescomplemented
72#2766C2214yescomplemented
73#2761C2214yescomplemented
74#2757C2214yescomplemented
75#2756C2214yescomplemented
76#2756C2214yescomplemented
77#2748C2214yescomplemented
78#2748C2214yescomplemented
79#2743C2214yescomplemented
80#2740C2214yescomplemented
81#2740C2214yescomplemented
82#2735C2212yescomplemented
83#2724C2212yescomplemented
84#2722C2212yescomplemented
85#2711C2214yescomplemented
86#2710C2214yescomplemented
87#2707C2214yescomplemented
88#2703C2214yescomplemented
89#2701C2214yescomplemented
90#2699C2212yescomplemented
91#2695C2214yescomplemented
92#2693C2212yes—
93#2686C2214yescomplemented
94#2685C2214yescomplemented
95#2684C2214yescomplemented
96#2678C2214yes—
97#2668C2212yes—
98#2653C2214yescomplemented
99#2651C2214yescomplemented
100#2649C2214yescomplemented
101#2648C2214yescomplemented
102#2648C2214yescomplemented
103#2643C2214yescomplemented
104#2630C2214yescomplemented
105#2630C2214yescomplemented
106#2630C2214yescomplemented
107#2629C2214yescomplemented
108#2628C2211yescharacteristic, complemented
109#2628C2211yescharacteristic, complemented
110#2624C2212yescomplemented
111#2624C2212yescomplemented
112#2623C2214yescomplemented
113#2622C2214yescomplemented
114#2621C2211yescharacteristic, complemented
115#2621C2211yescharacteristic, complemented
116#2611C2212yescomplemented
117#2611C2212yescomplemented
118#2609C2212yescomplemented
119#2599C2212yescomplemented
120#2599C2212yescomplemented
121#2596C2214yescomplemented
122#2595C2214yescomplemented
123#2594C2214yescomplemented
124#2583C2212yescomplemented
125#2579C2214yescomplemented
126#2578C2214yescomplemented
127#2578C2214yescomplemented
128#2577C2214yescomplemented
129#2577C2214yescomplemented
130#2575C2214yescomplemented
131#2562C2212yescomplemented
132#2561C2212yes—
133#2558C2214yescomplemented
134#2555C2212yescomplemented
135#2540C2212yescomplemented
136#2536C2212yescomplemented
137#2535C2212yescomplemented
138#2534C2214yescomplemented
139#2531C2214yescomplemented
140#2518C2214yescomplemented
141#2517C2212yescomplemented
142#2514C2212yescomplemented
143#2513C2212yescomplemented
144#2510C2214yescomplemented
145#2510C2214yescomplemented
146#2509C2212yescomplemented
147#2508C2212yescomplemented
148#2504C2212yes—
149#2504C2212yescomplemented
150#2501C2212yes—
151#2500C2212yescomplemented
152#2500C2212yescomplemented
153#2497C2214yescomplemented
154#2495C2212yescomplemented
155#2494C2212yescomplemented
156#2491C2212yescomplemented
157#2490C2212yescomplemented
158#2486C2212yescomplemented
159#2485C2212yescomplemented
160#2485C2212yescomplemented
161#2485C2212yescomplemented
162#2484C2212yescomplemented
163#2483C2212yescomplemented
164#2482C2212yes—
165#2482C2212yescomplemented
166#2482C2212yescomplemented
167#2480C2214yes—
168#2480C2214yescomplemented
169#2473C2214yescomplemented
170#2472C2214yescomplemented
171#2471C2214yescomplemented
172#2468C2214yescomplemented
173#2464C2214yescomplemented
174#2460C2214yescomplemented
175#2460C2214yescomplemented
176#2458C2214yescomplemented
177#2456C2214yescomplemented
178#2454C2212yescomplemented
179#2453C2212yescomplemented
180#2450C2214yescomplemented
181#2448C2212yescomplemented
182#2447C2212yescomplemented
183#2443C2214yes—
184#2442C2212yescomplemented
185#2439C2212yescomplemented
186#2432C2212yescomplemented
187#2429C2212yescomplemented
188#2426C2212yescomplemented
189#2424C2214yes—
190#2421C2212yescomplemented
191#2420C2214yescomplemented
192#2420C2212yescomplemented
193#2419C2214yescomplemented
194#2419C2214yescomplemented
195#2418C2214yescomplemented
196#2418C2214yescomplemented
197#2417C2212yescomplemented
198#2417C2212yescomplemented
199#2417C2212yescomplemented
200#2417C2212yescomplemented
201#2416C2212yescomplemented
202#2416C2212yescomplemented
203#2415C2212yescomplemented
204#2414C2212yescomplemented
205#2414C2214yescomplemented
206#2412C2214yescomplemented
207#2412C2214yescomplemented
208#2411C2214yescomplemented
209#2410C2214yescomplemented
210#2408C2212yescomplemented
211#2407C2212yescomplemented
212#2407C2212yescomplemented
213#2407C2212yescomplemented
214#2405C2214yes—
215#2405C2212yes—
216#2405C2212yes—
217#2403C2214yes—
218#2392C2212yes—
219#2392C2212yes—
220#2392C2211yescharacteristic
221#2392C2211yescharacteristic
222#2392C2211yescharacteristic
223#2392C2211yescharacteristic
224#2392C2211yescharacteristic, complemented
225#2392C2212yescomplemented
226#2392C2212yescomplemented
227#2392C2211yescharacteristic, complemented
228#2392C2211yescharacteristic, complemented
229#2392C2211yescharacteristic, complemented
230C2×#398C2211yescharacteristic, complemented
231C2×#397C2211yescharacteristic
232C2×#396C2212yescomplemented
233C2×#394C2212yes—
234C2×#394C2211yescharacteristic, complemented
235C2×#392C2211yescharacteristic
236#2367C2214yescomplemented
237#2362C2212yescomplemented
238#2361C2212yescomplemented
239#2359C2214yescomplemented
240#2359C2214yescomplemented
241#2358C2214yescomplemented
242#2358C2214yescomplemented
243#2353C2214yescomplemented
244#2352C2212yescomplemented
245#2352C2212yescomplemented
246#2345C2212yescomplemented
247#2342C2214yescomplemented
248#2341C2212yescomplemented
249D4×C22⋊C4C2214yes—
250#2325C2214yescomplemented
251#2325C2214yescomplemented
252#2323C2212yescomplemented
253#2323C2212yescomplemented
254#2322C2214yescomplemented
255#2318C2214yescomplemented
256#2317C2211yescharacteristic, complemented
257#2317C2211yescharacteristic, complemented
258#2309C2211yescharacteristic, complemented
259#2309C2211yescharacteristic, complemented
260C4×C22⋊Q8C2212yescomplemented
261C4×#121C2212yes—
262#2283C2211yescharacteristic, complemented
263#2280C2211yescharacteristic
264C2×#380C2212yescomplemented
265C2×C4×C4⋊C4C2211yescharacteristic, complemented
266C2×C4×C22⋊C4C2212yescomplemented
267C22×#41C2312yes—
268C23×D4C2311yescharacteristic
269C23×D4C2312yes—
270C23×D4C2312yes—
271C23×D4C2311yescharacteristic
272C24×C4C2311yescharacteristic
273C24×C4C2312yes—
274#552—48no—
275#546—48no—
276#533—44no—
277C2×C4⋊Q8C2311yescharacteristic
278C2×C4⋊Q8C2311yescharacteristic
279C2×#126C2314yes—
280C2×#125C2312yes—
281C2×#125C2314yes—
282C2×#125C2312yes—
283C2×#124C2312yes—
284C2×#124C2314yes—
285#525—48no—
286C2×#123C2314yes—
287C2×#123C2314yes—
288C2×#123C2314yes—
289C2×#123C2314yes—
290C2×#123C2314yes—
291C2×#123C2314yes—
292C2×C22⋊Q8C2312yes—
293C2×C22⋊Q8C2312yes—
294C2×C22⋊Q8C2312yes—
295C2×C22⋊Q8C2312yes—
296C2×C22⋊Q8C2312yes—
297C2×C22⋊Q8C2312yes—
298C2×C22⋊Q8C2312yes—
299C2×#121—44no—
300C2×#121C2312yes—
301C2×#121C2314yes—
302C2×#121C2314yes—
303C2×#121C2312yes—
304C2×#121C2312yes—
305C2×#121C2312yes—
306C2×#121C2312yes—
307C2×#121C2312yes—
308C2×#121C2312yes—
309C2×#121C2314yes—
310C2×#120C2314yes—
311C2×#120C2314yes—
312C2×#120C2314yes—
313C2×#120C2314yes—
314C2×C4×Q8C2312yes—
315C2×C4×Q8C2312yes—
316C2×C4×Q8C2312yes—
317C2×C4×D4—44no—
318C2×C4×D4—48no—
319C2×C4×D4C2312yes—
320C2×C4×D4C2312yes—
321C2×C4×D4C2312yes—
322C2×C4×D4C2314yes—
323C2×C4×D4C2314yes—
324C2×C4×D4C2311yescharacteristic
325C2×C4×D4C2314yes—
326C2×C4×D4C2312yes—
327C2×C4×D4C2314yes—
328C2×C4×D4C2312yes—
329C2×C4×D4C2312yes—
330C2×C4×D4C2312yes—
331C2×C4×D4C2311yescharacteristic
332C2×C4×D4C2312yes—
333C2×C4×D4C2311yescharacteristic
334C2×C4×D4C2312yes—
335C2×C4×D4C2311yescharacteristic
336C2×C4×D4C2312yes—
337C2×C4×D4C2312yes—
338C2×#117—44no—
339C2×#117C2311yescharacteristic
340C2×#117C2311yescharacteristic
341C2×#117C2311yescharacteristic
342C2×#117C2311yescharacteristic
343C2×#117C2311yescharacteristic
344C2×#117C2314yes—
345C2×#117C2311yescharacteristic
346C2×#117C2311yescharacteristic
347C2×#117C2312yes—
348C2×#117C2311yescharacteristic
349C2×#117C2311yescharacteristic
350C2×#117C2312yes—
351C2×#117C2311yescharacteristic
352C22×C4⋊C4C2311yescharacteristic
353C22×C4⋊C4C2312yes—
354C22×C4⋊C4C2311yescharacteristic
355C22×C4⋊C4C2311yescharacteristic
356C22×C4⋊C4C2312yes—
357C22×C4⋊C4C2312yes—
358C22×C4⋊C4C2311yescharacteristic
359C22×C4⋊C4C2312yes—
360C22×C22⋊C4C2311yescharacteristic
361C22×C22⋊C4C2312yes—
362C22×C22⋊C4C2314yes—
363C22×C22⋊C4C2312yes—
364C22×C22⋊C4C2314yes—
365C22×C22⋊C4C2312yes—
366C22×C22⋊C4C2312yes—
367C22×C22⋊C4C2312yes—
368C22×C22⋊C4C2311yescharacteristic
369C22×C22⋊C4C2312yes—
370C22×C42C2311yescharacteristic
371C22×C42C2311yescharacteristic
372C22×C42C2312yes—
373#401C2314yes—
374#401C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2312yes—
384#400C2314yes—
385#400C2312yes—
386#399C2312yes—
387#399C2314yes—
388#399C2314yes—
389#399C2314yes—
390#399C2314yes—
391#399C2312yes—
392#399C2314yes—
393#398C2311yescharacteristic
394#398C2314yes—
395#398C2314yes—
396#398C2312yes—
397#398C2314yes—
398#398C2312yes—
399#398C2314yes—
400#398C2314yes—
401#398C2314yes—
402#398C2312yes—
403#398C2314yes—
404#398C2314yes—
405#398C2311yescharacteristic
406#398C2312yes—
407#398C2314yes—
408#398C2314yes—
409#398C2312yes—
410#398C2312yes—
411#398C2311yescharacteristic
412#398C2311yescharacteristic
413#397C2312yes—
414#397C2312yes—
415#397C2314yes—
416#397C2314yes—
417#397C2312yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2312yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2311yescharacteristic
435#397C2314yes—
436#397C2312yes—
437#397C2314yes—
438#397C2311yescharacteristic
439#397C2311yescharacteristic
440#397C2312yes—
441#397C2311yescharacteristic
442#397C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2312yes—
452#396C2314yes—
453#396C2312yes—
454#396C2314yes—
455#396C2312yes—
456#396C2312yes—
457#396C2312yes—
458#396C2312yes—
459#396C2312yes—
460#396C2312yes—
461#395C2312yes—
462#395C2312yes—
463#394C2314yes—
464#394C2312yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2312yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2311yescharacteristic
482#394C2312yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2312yes—
487#394C2314yes—
488#394C2314yes—
489#394C2312yes—
490#394C2312yes—
491#394C2312yes—
492#394C2312yes—
493#394C2312yes—
494#394C2311yescharacteristic
495#394C2312yes—
496#394C2311yescharacteristic
497#394C2311yescharacteristic
498#394C2314yes—
499#394C2314yes—
500#393C2312yes—
501#393C2312yes—
502#393C2314yes—
503#393C2314yes—
504#392C2314yes—
505#392C2312yes—
506#392C2314yes—
507#392C2314yes—
508#392C2314yes—
509#392C2311yescharacteristic
510#392C2311yescharacteristic
511#392C2314yes—
512#392C2311yescharacteristic
513#392C2312yes—
514#392C2311yescharacteristic
515#392C2314yes—
516#392C2314yes—
517#391C2314yes—
518#391C2312yes—
519#391C2312yes—
520#391C2312yes—
521#391C2312yes—
522#390C2312yes—
523#390C2312yes—
524#390C2312yes—
525#390C2312yes—
526#390C2312yes—
527#390C2312yes—
528#390C2312yes—
529#390C2312yes—
530#390C2314yes—
531#390C2314yes—
532#390C2314yes—
533#390C2312yes—
534#390C2314yes—
535#390C2314yes—
536#390C2314yes—
537#390C2314yes—
538#390C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2314yes—
544#389C2314yes—
545#389C2314yes—
546#389C2314yes—
547#389C2312yes—
548#389C2312yes—
549#389C2314yes—
550#389C2312yes—
551#389C2312yes—
552#389C2314yes—
553#389C2312yes—
554#389C2312yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#386C2314yes—
614#386C2314yes—
615#386C2314yes—
616#386C2314yes—
617#386C2314yes—
618#386C2314yes—
619#386C2314yes—
620#386C2314yes—
621#386C2314yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#385C2314yes—
639#385C2312yes—
640#385C2312yes—
641#385C2312yes—
642#385C2312yes—
643#385C2314yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#384C2312yes—
662#384C2312yes—
663#383C2314yes—
664#383C2312yes—
665#383C2314yes—
666#382C2312yes—
667#382C2312yes—
668#382C2314yes—
669#382C2312yes—
670#382C2312yes—
671#382C2311yescharacteristic
672#382C2311yescharacteristic
673#381C2314yes—
674#381C2314yes—
675#381C2314yes—
676#381C2314yes—
677#381C2312yes—
678#381C2312yes—
679#380C2312yes—
680#380C2312yes—
681#380C2312yes—
682#380C2312yes—
683#380C2314yes—
684#380C2314yes—
685#380C2314yes—
686#380C2314yes—
687#380C2312yes—
688#380C2314yes—
689#380C2314yes—
690#380C2312yes—
691#380C2312yes—
692#380C2312yes—
693#380C2312yes—
694#380C2312yes—
695#380C2314yes—
696#380C2314yes—
697#380C2314yes—
698#380C2314yes—
699#380C2312yes—
700#379C2314yes—
701#379C2312yes—
702#379C2312yes—
703#379C2312yes—
704#379C2312yes—
705#379C2314yes—
706#379C2314yes—
707#379C2312yes—
708C4×C4⋊C4C2312yes—
709C4×C4⋊C4C2311yescharacteristic
710C4×C4⋊C4C2312yes—
711C4×C4⋊C4C2314yes—
712C4×C4⋊C4C2312yes—
713C4×C4⋊C4C2314yes—
714C4×C4⋊C4C2311yescharacteristic
715C4×C4⋊C4C2312yes—
716C4×C4⋊C4C2311yescharacteristic
717C4×C4⋊C4C2312yes—
718C4×C4⋊C4C2311yescharacteristic
719C4×C22⋊C4C2312yes—
720C4×C22⋊C4C2314yes—
721C4×C22⋊C4C2314yes—
722C4×C22⋊C4C2314yes—
723C4×C22⋊C4C2312yes—
724C4×C22⋊C4C2314yes—
725C4×C22⋊C4C2314yes—
726C4×C22⋊C4C2312yes—
727C4×C22⋊C4C2312yes—
728C4×C22⋊C4C2314yes—
729C4×C22⋊C4C2312yes—
730C4×C22⋊C4C2312yes—
731C4×C22⋊C4C2312yes—
732C4×C22⋊C4C2312yes—
733C4×C22⋊C4C2312yes—
734C4×C22⋊C4C2312yes—
735C4×C22⋊C4C2312yes—
736#376C2312yes—
737C2×#95C2311yescharacteristic
738C2×#95C2314yes—
739C2×#95C2312yes—
740C2×#95C2311yescharacteristic
741C2×#95C2312yes—
742C25C2412yes—
743C25C2411yescharacteristic
744C25C2412yes—
745C2×#41—44no—
746C2×#41—44no—
747C2×#41—44no—
748C22×Q8C2412yes—
749C22×Q8C2412yes—
750C22×D4—24no—
751C22×D4—42no—
752C22×D4—42no—
753C22×D4—42no—
754C22×D4—44no—
755C22×D4—44no—
756C22×D4—44no—
757C22×D4—44no—
758C22×D4—44no—
759C22×D4—48no—
760C22×D4C2414yes—
761C22×D4C2412yes—
762C22×D4C2412yes—
763C22×D4C2411yescharacteristic
764C22×D4C2412yes—
765C22×D4C2412yes—
766C22×D4C2412yes—
767C22×D4C2414yes—
768C22×D4C2414yes—
769C22×D4C2412yes—
770C22×D4C2412yes—
771C22×D4C2411yescharacteristic
772C22×D4C2414yes—
773C22×D4C2414yes—
774C22×D4C2414yes—
775C23×C4—24no—
776C23×C4—24no—
777C23×C4—28no—
778C23×C4—42no—
779C23×C4—44no—
780C23×C4—44no—
781C23×C4C2411yescharacteristic
782C23×C4C2411yescharacteristic
783C23×C4C2412yes—
784C23×C4C2411yescharacteristic
785C23×C4C2412yes—
786C23×C4C2411yescharacteristic
787C23×C4C2411yescharacteristic
788C23×C4C2411yescharacteristic
789C23×C4C2411yescharacteristic
790C23×C4C2411yescharacteristic
791C23×C4C2412yes—
792C23×C4C2411yescharacteristic
793C23×C4C2412yes—
794C23×C4C2411yescharacteristic
795C23×C4C2412yes—
796C23×C4C2414yes—
797C23×C4C2412yes—
798C23×C4C2412yes—
799C23×C4C2414yes—
800C23×C4C2412yes—
801C23×C4C2414yes—
802C23×C4C2414yes—
803C4⋊Q8—42no—
804C4⋊Q8—42no—
805#126—48no—
806#125—44no—
807#125—44no—
808#125—48no—
809#124—44no—
810#124—48no—
811#123—48no—
812#123—48no—
813#123—48no—
814#123—48no—
815#123—48no—
816#123—48no—
817C22⋊Q8—28no—
818C22⋊Q8—28no—
819C22⋊Q8—44no—
820C22⋊Q8—44no—
821C22⋊Q8—44no—
822C22⋊Q8—44no—
823C22⋊Q8—44no—
824#121—28no—
825#121—44no—
826#121—48no—
827#121—48no—
828#121—44no—
829#121—44no—
830#121—44no—
831#121—44no—
832#121—44no—
833#121—48no—
834#120—48no—
835#120—48no—
836#120—48no—
837#120—48no—
838C4×Q8—44no—
839C4×Q8—44no—
840C4×Q8—44no—
841C4×D4—28no—
842C4×D4—28no—
843C4×D4—44no—
844C4×D4—42no—
845C4×D4—44no—
846C4×D4—42no—
847C4×D4—42no—
848C4×D4—44no—
849C4×D4—42no—
850C4×D4—44no—
851C4×D4—44no—
852C4×D4—44no—
853C4×D4—44no—
854C4×D4—48no—
855C4×D4—44no—
856C4×D4—44no—
857C4×D4—48no—
858C4×D4—48no—
859C4×D4—48no—
860#117—24no—
861#117—42no—
862#117—42no—
863#117—42no—
864#117—42no—
865#117—42no—
866#117—42no—
867#117—42no—
868#117—42no—
869#117—48no—
870#117—44no—
871#117—42no—
872#117—44no—
873C2×C4⋊C4—44no—
874C2×C4⋊C4—44no—
875C2×C4⋊C4—42no—
876C2×C4⋊C4—44no—
877C2×C4⋊C4—44no—
878C2×C4⋊C4—42no—
879C2×C4⋊C4—42no—
880C2×C4⋊C4—42no—
881C2×C4⋊C4C2412yes—
882C2×C4⋊C4C2412yes—
883C2×C4⋊C4C2412yes—
884C2×C4⋊C4C2412yes—
885C2×C4⋊C4C2412yes—
886C2×C4⋊C4C2412yes—
887C2×C4⋊C4C2412yes—
888C2×C4⋊C4C2412yes—
889C2×C4⋊C4C2414yes—
890C2×C4⋊C4C2414yes—
891C2×C4⋊C4C2411yescharacteristic
892C2×C4⋊C4C2411yescharacteristic
893C2×C4⋊C4C2411yescharacteristic
894C2×C4⋊C4C2411yescharacteristic
895C2×C4⋊C4C2411yescharacteristic
896C2×C4⋊C4C2411yescharacteristic
897C2×C4⋊C4C2411yescharacteristic
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2411yescharacteristic
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2414yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2414yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2414yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2414yes—
932C2×C22⋊C4—44no—
933C2×C22⋊C4—44no—
934C2×C22⋊C4—44no—
935C2×C22⋊C4—48no—
936C2×C22⋊C4—44no—
937C2×C22⋊C4—48no—
938C2×C22⋊C4—44no—
939C2×C22⋊C4—42no—
940C2×C22⋊C4—42no—
941C2×C22⋊C4—44no—
942C2×C22⋊C4C2412yes—
943C2×C22⋊C4C2412yes—
944C2×C22⋊C4C2412yes—
945C2×C22⋊C4C2412yes—
946C2×C22⋊C4C2412yes—
947C2×C22⋊C4C2414yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2414yes—
951C2×C22⋊C4C2412yes—
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2412yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2411yescharacteristic
956C2×C22⋊C4C2411yescharacteristic
957C2×C22⋊C4C2411yescharacteristic
958C2×C22⋊C4C2411yescharacteristic
959C2×C22⋊C4C2411yescharacteristic
960C2×C22⋊C4C2411yescharacteristic
961C2×C22⋊C4C2411yescharacteristic
962C2×C22⋊C4C2411yescharacteristic
963C2×C22⋊C4C2412yes—
964C2×C22⋊C4C2412yes—
965C2×C22⋊C4C2412yes—
966C2×C22⋊C4C2412yes—
967C2×C22⋊C4C2412yes—
968C2×C22⋊C4C2412yes—
969C2×C22⋊C4C2412yes—
970C2×C22⋊C4C2412yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C42—24no—
1011C2×C42—24no—
1012C2×C42—44no—
1013C2×C42C2412yes—
1014C2×C42C2411yescharacteristic
1015C2×C42C2411yescharacteristic
1016C2×C42C2411yescharacteristic
1017C2×C42C2411yescharacteristic
1018C2×C42C2411yescharacteristic
1019C2×C42C2411yescharacteristic
1020C2×C42C2411yescharacteristic
1021C2×C42C2411yescharacteristic
1022C2×C42C2412yes—
1023C2×C42C2412yes—
1024C2×C42C2414yes—
1025C2×C42C2414yes—
1026C2×C42C2414yes—
1027C2×C42C2412yes—
1028C2×C42C2412yes—
1029C2×C42C2412yes—
1030C2×C42C2414yes—
1031C2×C42C2414yes—
1032C2×C42C2414yes—
1033#95C2414yes—
1034#95C2412yes—
1035#95C2412yes—
1036#95C2412yes—
1037#95C2412yes—
1038#95C2412yes—
1039#95C2412yes—
1040#95C2412yes—
1041#95C2412yes—
1042#95C2414yes—
1043#95C2412yes—
1044#95C2411yescharacteristic
1045#95C2411yescharacteristic
1046#95C2412yes—
1047#95C2411yescharacteristic
1048#95C2411yescharacteristic
1049#95C2414yes—
1050#95C2414yes—
1051#95C2412yes—
1052#95C2412yes—
1053#95C2414yes—
1054#95C2414yes—
1055#95C2414yes—
1056#95C2414yes—
1057#95C2414yes—
1058#95C2414yes—
1059#95C2414yes—
1060#95C2414yes—
1061#95C2414yes—
1062#95C2412yes—
1063#95C2414yes—
1064#95C2414yes—
1065#95C2412yes—
1066#95C2414yes—
1067#95C2414yes—
1068#95C2414yes—
1069#95C2414yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2414yes—
1074#95C2414yes—
1075#95C2414yes—
1076#95C2414yes—
1077#95C2414yes—
1078#95C2414yes—
1079#95C2414yes—
1080#95C2414yes—
1081#95C2414yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2414yes—
1087C24—22no—
1088C24—24no—
1089C24—22no—
1090C24—24no—
1091C24—24no—
1092C24—24no—
1093C24—24no—
1094C24—24no—
1095C24—42no—
1096C24—41no—
1097C24—42no—
1098C24—42no—
1099C24—42no—
1100C24—42no—
1101C24—44no—
1102C24—44no—
1103C24—42no—
1104C24C2514yes—
1105C24C2512yes—
1106C24C2511yescharacteristic
1107C24C2511yescharacteristic
1108C24C2512yes—
1109C24C2511yescharacteristic
1110#41—816no—
1111C2×Q8—24no—
1112C2×Q8—24no—
1113C2×Q8—24no—
1114C2×Q8—42no—
1115C2×Q8—44no—
1116C2×D4—24no—
1117C2×D4—24no—
1118C2×D4—28no—
1119C2×D4—28no—
1120C2×D4—24no—
1121C2×D4—28no—
1122C2×D4—24no—
1123C2×D4—24no—
1124C2×D4—24no—
1125C2×D4—28no—
1126C2×D4—28no—
1127C2×D4—24no—
1128C2×D4—24no—
1129C2×D4—24no—
1130C2×D4—24no—
1131C2×D4—41no—
1132C2×D4—42no—
1133C2×D4—41no—
1134C2×D4—42no—
1135C2×D4—42no—
1136C2×D4—42no—
1137C2×D4—42no—
1138C2×D4—42no—
1139C2×D4—42no—
1140C2×D4—42no—
1141C2×D4—42no—
1142C2×D4—42no—
1143C2×D4—42no—
1144C2×D4—44no—
1145C2×D4—44no—
1146C2×D4—44no—
1147C2×D4—44no—
1148C2×D4—42no—
1149C2×D4—44no—
1150C2×D4—44no—
1151C2×D4—44no—
1152C2×D4—42no—
1153C2×D4—44no—
1154C2×D4—44no—
1155C2×D4—44no—
1156C2×D4—44no—
1157C2×D4—44no—
1158C2×D4—44no—
1159C2×D4—416no—
1160C2×D4—432no—
1161C2×D4—88no—
1162C2×D4—816no—
1163C22×C4—22no—
1164C22×C4—22no—
1165C22×C4—22no—
1166C22×C4—22no—
1167C22×C4—22no—
1168C22×C4—22no—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—22no—
1172C22×C4—24no—
1173C22×C4—24no—
1174C22×C4—24no—
1175C22×C4—22no—
1176C22×C4—24no—
1177C22×C4—24no—
1178C22×C4—28no—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—24no—
1182C22×C4—22no—
1183C22×C4—22no—
1184C22×C4—24no—
1185C22×C4—24no—
1186C22×C4—22no—
1187C22×C4—22no—
1188C22×C4—24no—
1189C22×C4—24no—
1190C22×C4—22no—
1191C22×C4—24no—
1192C22×C4—24no—
1193C22×C4—24no—
1194C22×C4—42no—
1195C22×C4—41no—
1196C22×C4—41no—
1197C22×C4—41no—
1198C22×C4—42no—
1199C22×C4—42no—
1200C22×C4—416no—
1201C22×C4—42no—
1202C22×C4—42no—
1203C22×C4—42no—
1204C22×C4—44no—
1205C22×C4—42no—
1206C22×C4—42no—
1207C22×C4—44no—
1208C22×C4—44no—
1209C22×C4—42no—
1210C22×C4—42no—
1211C22×C4—44no—
1212C22×C4—42no—
1213C22×C4—42no—
1214C22×C4—42no—
1215C22×C4—44no—
1216C22×C4—44no—
1217C22×C4—44no—
1218C22×C4—44no—
1219C22×C4—44no—
1220C22×C4—44no—
1221C22×C4—44no—
1222C22×C4—44no—
1223C22×C4—816no—
1224C22×C4H(5,𝔽2)14yes—
1225C22×C4H(5,𝔽2)14yes—
1226C22×C4C2514yes—
1227C22×C4C2512yes—
1228C22×C4C2514yes—
1229C22×C4C2511yescharacteristic
1230C22×C4C2511yescharacteristic
1231C22×C4C2511yescharacteristic
1232C22×C4C2512yes—
1233C22×C4C2512yes—
1234C22×C4C2514yes—
1235C22×C4C2512yes—
1236C22×C4C2514yes—
1237C22×C4C2514yes—
1238C22×C4C2511yescharacteristic
1239C22×C4C2511yescharacteristic
1240C22×C4C2512yes—
1241C22×C4C2511yescharacteristic
1242C22×C4C2511yescharacteristic
1243C22×C4C2511yescharacteristic
1244C22×C4C2514yes—
1245C22×C4C2514yes—
1246C22×C4C2512yes—
1247C22×C4C2511yescharacteristic
1248C22×C4C2511yescharacteristic
1249C22×C4C2511yescharacteristic
1250C22×C4C2511yescharacteristic
1251C4⋊C4—24no—
1252C4⋊C4—24no—
1253C4⋊C4—24no—
1254C4⋊C4—24no—
1255C4⋊C4—24no—
1256C4⋊C4—24no—
1257C4⋊C4—28no—
1258C4⋊C4—28no—
1259C4⋊C4—24no—
1260C4⋊C4—24no—
1261C4⋊C4—42no—
1262C4⋊C4—42no—
1263C4⋊C4—44no—
1264C4⋊C4—42no—
1265C4⋊C4—42no—
1266C4⋊C4—41no—
1267C4⋊C4—41no—
1268C4⋊C4—41no—
1269C4⋊C4—41no—
1270C4⋊C4—41no—
1271C4⋊C4—41no—
1272C4⋊C4—41no—
1273C4⋊C4—41no—
1274C4⋊C4—41no—
1275C4⋊C4—42no—
1276C4⋊C4—41no—
1277C4⋊C4—42no—
1278C4⋊C4—42no—
1279C4⋊C4—42no—
1280C4⋊C4—44no—
1281C4⋊C4—44no—
1282C4⋊C4—42no—
1283C4⋊C4—42no—
1284C4⋊C4—44no—
1285C4⋊C4—44no—
1286C4⋊C4—44no—
1287C4⋊C4—44no—
1288C4⋊C4—42no—
1289C4⋊C4—44no—
1290C4⋊C4—44no—
1291C4⋊C4—44no—
1292C4⋊C4—44no—
1293C4⋊C4—44no—
1294C4⋊C4—44no—
1295C4⋊C4—44no—
1296C4⋊C4—44no—
1297C4⋊C4—44no—
1298C4⋊C4—44no—
1299C4⋊C4—44no—
1300C4⋊C4—44no—
1301C4⋊C4—44no—
1302C22⋊C4—24no—
1303C22⋊C4—24no—
1304C22⋊C4—28no—
1305C22⋊C4—24no—
1306C22⋊C4—28no—
1307C22⋊C4—24no—
1308C22⋊C4—28no—
1309C22⋊C4—28no—
1310C22⋊C4—24no—
1311C22⋊C4—28no—
1312C22⋊C4—24no—
1313C22⋊C4—24no—
1314C22⋊C4—28no—
1315C22⋊C4—42no—
1316C22⋊C4—44no—
1317C22⋊C4—44no—
1318C22⋊C4—42no—
1319C22⋊C4—42no—
1320C22⋊C4—42no—
1321C22⋊C4—42no—
1322C22⋊C4—42no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—41no—
1326C22⋊C4—41no—
1327C22⋊C4—41no—
1328C22⋊C4—41no—
1329C22⋊C4—41no—
1330C22⋊C4—41no—
1331C22⋊C4—42no—
1332C22⋊C4—42no—
1333C22⋊C4—42no—
1334C22⋊C4—42no—
1335C22⋊C4—42no—
1336C22⋊C4—42no—
1337C22⋊C4—42no—
1338C22⋊C4—42no—
1339C22⋊C4—44no—
1340C22⋊C4—44no—
1341C22⋊C4—44no—
1342C22⋊C4—42no—
1343C22⋊C4—44no—
1344C22⋊C4—44no—
1345C22⋊C4—44no—
1346C22⋊C4—44no—
1347C22⋊C4—44no—
1348C22⋊C4—44no—
1349C22⋊C4—44no—
1350C22⋊C4—44no—
1351C22⋊C4—44no—
1352C22⋊C4—44no—
1353C22⋊C4—44no—
1354C22⋊C4—44no—
1355C22⋊C4—44no—
1356C22⋊C4—44no—
1357C22⋊C4—44no—
1358C22⋊C4—44no—
1359C22⋊C4—44no—
1360C22⋊C4—44no—
1361C22⋊C4—44no—
1362C22⋊C4—44no—
1363C22⋊C4—44no—
1364C22⋊C4—44no—
1365C22⋊C4—44no—
1366C22⋊C4—44no—
1367C22⋊C4—44no—
1368C22⋊C4—44no—
1369C22⋊C4—44no—
1370C42—22no—
1371C42—22no—
1372C42—22no—
1373C42—22no—
1374C42—22no—
1375C42—22no—
1376C42—22no—
1377C42—22no—
1378C42—24no—
1379C42—24no—
1380C42—24no—
1381C42—42no—
1382C42—42no—
1383C42—42no—
1384C42—44no—
1385C42—44no—
1386C42—44no—
1387C42—44no—
1388C42—44no—
1389C42—44no—
1390C23—21no—
1391C23—21no—
1392C23—22no—
1393C23—22no—
1394C23—21no—
1395C23—22no—
1396C23—22no—
1397C23—21no—
1398C23—22no—
1399C23—22no—
1400C23—22no—
1401C23—22no—
1402C23—22no—
1403C23—24no—
1404C23—22no—
1405C23—21no—
1406C23—21no—
1407C23—22no—
1408C23—24no—
1409C23—21no—
1410C23—24no—
1411C23—22no—
1412C23—22no—
1413C23—22no—
1414C23—24no—
1415C23—24no—
1416C23—22no—
1417C23—22no—
1418C23—24no—
1419C23—22no—
1420C23—24no—
1421C23—22no—
1422C23—44no—
1423C23—48no—
1424C23—48no—
1425C23—48no—
1426C23—48no—
1427C23—44no—
1428C23—48no—
1429C23—84no—
1430C23—82no—
1431C23—84no—
1432C23—84no—
1433C23—84no—
1434C23—84no—
1435C23—88no—
1436C23—84no—
1437C23—84no—
1438C23—164no—
1439C23C2×H(5,𝔽2)12yes—
1440C23C2×H(5,𝔽2)12yes—
1441C23#58514yes—
1442C23#58514yes—
1443C23C2611yescharacteristic
1444Q8—48no—
1445Q8—84no—
1446D4—44no—
1447D4—48no—
1448D4—48no—
1449D4—48no—
1450D4—48no—
1451D4—44no—
1452D4—48no—
1453D4—416no—
1454D4—48no—
1455D4—84no—
1456D4—88no—
1457D4—88no—
1458D4—88no—
1459D4—88no—
1460D4—164no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—28no—
1466C2×C4—28no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—24no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—24no—
1481C2×C4—22no—
1482C2×C4—24no—
1483C2×C4—24no—
1484C2×C4—24no—
1485C2×C4—22no—
1486C2×C4—24no—
1487C2×C4—22no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—24no—
1495C2×C4—24no—
1496C2×C4—24no—
1497C2×C4—24no—
1498C2×C4—24no—
1499C2×C4—24no—
1500C2×C4—24no—
1501C2×C4—24no—
1502C2×C4—24no—
1503C2×C4—22no—
1504C2×C4—24no—
1505C2×C4—24no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—24no—
1510C2×C4—22no—
1511C2×C4—24no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—24no—
1521C2×C4—24no—
1522C2×C4—21no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—44no—
1526C2×C4—44no—
1527C2×C4—44no—
1528C2×C4—44no—
1529C2×C4—48no—
1530C2×C4—44no—
1531C2×C4—44no—
1532C2×C4—44no—
1533C2×C4—48no—
1534C2×C4—48no—
1535C2×C4—84no—
1536C2×C4—84no—
1537C2×C4—82no—
1538C2×C4—84no—
1539C2×C4—88no—
1540C2×C4—84no—
1541C2×C4—84no—
1542C2×C4—88no—
1543C2×C4—164no—
1544C2×C4—164no—
1545C2×C4C2×H(5,𝔽2)12yes—
1546C2×C4C2×H(5,𝔽2)12yes—
1547C2×C4C2×H(5,𝔽2)12yes—
1548C2×C4C2×H(5,𝔽2)12yes—
1549C2×C4#58512yes—
1550C22—22no—
1551C22—22no—
1552C22—24no—
1553C22—24no—
1554C22—22no—
1555C22—24no—
1556C22—24no—
1557C22—24no—
1558C22—24no—
1559C22—42no—
1560C22—41no—
1561C22—41no—
1562C22—42no—
1563C22—42no—
1564C22—42no—
1565C22—42no—
1566C22—41no—
1567C22—42no—
1568C22—44no—
1569C22—42no—
1570C22—44no—
1571C22—41no—
1572C22—44no—
1573C22—41no—
1574C22—42no—
1575C22—44no—
1576C22—42no—
1577C22—42no—
1578C22—42no—
1579C22—44no—
1580C22—44no—
1581C22—42no—
1582C22—42no—
1583C22—42no—
1584C22—44no—
1585C22—816no—
1586C22—88no—
1587C22—168no—
1588C22#355114yes—
1589C22C22×H(5,𝔽2)11yescharacteristic
1590C22C22×H(5,𝔽2)11yescharacteristic
1591C22C2×#58511yescharacteristic
1592C22C2×#58512yes—
1593C22C2×#58512yes—
1594C4—22no—
1595C4—22no—
1596C4—41no—
1597C4—42no—
1598C4—42no—
1599C4—44no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—44no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—44no—
1610C4—42no—
1611C4—42no—
1612C4—42no—
1613C4—44no—
1614C4—42no—
1615C4—44no—
1616C4—44no—
1617C4—44no—
1618C4#353414yes—
1619C2—24no—
1620C2—44no—
1621C2—42no—
1622C2—81no—
1623C2—82no—
1624C2—84no—
1625C2C2×#353411yescharacteristic
1626C2#6272911yescharacteristic
1627C2C2×#355111yescharacteristic
1628C2#6282112yes—
1629C2#6282812yes—
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. #53152C2semidirect
2. #53135C2semidirect
3. #52717C2semidirect
4. #52643C2semidirect
5. #52431C2semidirect
6. #52397C2semidirect
7. #45162C2semidirect
8. #45023C2semidirect
9. #43467C2semidirect
10. #43442C2semidirect
11. #43265C2semidirect
12. #43220C2semidirect
13. #42982C2semidirect
14. #42980C2semidirect
15. #42906C2semidirect
16. #42684C2semidirect
17. #42673C2semidirect
18. #42541C2semidirect
19. #41228C2semidirect
20. #41079C2semidirect
21. #40889C2semidirect
22. #40808C2semidirect
23. #36168C2semidirect
24. #36156C2semidirect
25. #36148C2semidirect
26. #36096C2semidirect
27. #35325C2semidirect
28. #35262C2semidirect
29. #35077C2semidirect
30. #35024C2semidirect
31. C2×#2392C2semidirect
32. C2×#552C22semidirect
33. C2×#546C22semidirect
34. C2×#533C22semidirect
38. C22×C4×D4C22semidirect
40. #2855C22semidirect
43. #2851C22semidirect
46. #2848C22semidirect
48. #2837C22semidirect
49. #2837C22semidirect
50. #2836C22semidirect
51. #2834C22semidirect
52. #2831C22semidirect
53. #2830C22semidirect
54. #2829C22semidirect
55. #2828C22semidirect
57. #2825C22semidirect
58. #2824C22semidirect
59. #2822C22semidirect
60. #2813C22semidirect
62. #2803C22semidirect
63. #2803C22semidirect
64. #2793C22semidirect
65. #2793C22semidirect
66. #2789C22semidirect
67. #2785C22semidirect
68. #2779C22semidirect
70. #2778C22semidirect
71. #2770C22semidirect
72. #2766C22semidirect
73. #2761C22semidirect
74. #2757C22semidirect
75. #2756C22semidirect
76. #2756C22semidirect
77. #2748C22semidirect
78. #2748C22semidirect
79. #2743C22semidirect
80. #2740C22semidirect
81. #2740C22semidirect
82. #2735C22semidirect
83. #2724C22semidirect
84. #2722C22semidirect
85. #2711C22semidirect
86. #2710C22semidirect
87. #2707C22semidirect
88. #2703C22semidirect
89. #2701C22semidirect
90. #2699C22semidirect
91. #2695C22semidirect
93. #2686C22semidirect
94. #2685C22semidirect
95. #2684C22semidirect
98. #2653C22semidirect
99. #2651C22semidirect
100. #2649C22semidirect
101. #2648C22semidirect
102. #2648C22semidirect
103. #2643C22semidirect
104. #2630C22semidirect
105. #2630C22semidirect
106. #2630C22semidirect
107. #2629C22semidirect
108. #2628C22semidirect
109. #2628C22semidirect
110. #2624C22semidirect
111. #2624C22semidirect
112. #2623C22semidirect
113. #2622C22semidirect
114. #2621C22semidirect
115. #2621C22semidirect
116. #2611C22semidirect
117. #2611C22semidirect
118. #2609C22semidirect
119. #2599C22semidirect
120. #2599C22semidirect
121. #2596C22semidirect
122. #2595C22semidirect
123. #2594C22semidirect
124. #2583C22semidirect
125. #2579C22semidirect
126. #2578C22semidirect
127. #2578C22semidirect
128. #2577C22semidirect
129. #2577C22semidirect
130. #2575C22semidirect
131. #2562C22semidirect
133. #2558C22semidirect
134. #2555C22semidirect
135. #2540C22semidirect
136. #2536C22semidirect
137. #2535C22semidirect
138. #2534C22semidirect
139. #2531C22semidirect
140. #2518C22semidirect
141. #2517C22semidirect
142. #2514C22semidirect
143. #2513C22semidirect
144. #2510C22semidirect
145. #2510C22semidirect
146. #2509C22semidirect
147. #2508C22semidirect
149. #2504C22semidirect
151. #2500C22semidirect
152. #2500C22semidirect
153. #2497C22semidirect
154. #2495C22semidirect
155. #2494C22semidirect
156. #2491C22semidirect
157. #2490C22semidirect
158. #2486C22semidirect
159. #2485C22semidirect
160. #2485C22semidirect
161. #2485C22semidirect
162. #2484C22semidirect
163. #2483C22semidirect
165. #2482C22semidirect
166. #2482C22semidirect
168. #2480C22semidirect
169. #2473C22semidirect
170. #2472C22semidirect
171. #2471C22semidirect
172. #2468C22semidirect
173. #2464C22semidirect
174. #2460C22semidirect
175. #2460C22semidirect
176. #2458C22semidirect
177. #2456C22semidirect
178. #2454C22semidirect
179. #2453C22semidirect
180. #2450C22semidirect
181. #2448C22semidirect
182. #2447C22semidirect
184. #2442C22semidirect
185. #2439C22semidirect
186. #2432C22semidirect
187. #2429C22semidirect
188. #2426C22semidirect
190. #2421C22semidirect
191. #2420C22semidirect
192. #2420C22semidirect
193. #2419C22semidirect
194. #2419C22semidirect
195. #2418C22semidirect
196. #2418C22semidirect
197. #2417C22semidirect
198. #2417C22semidirect
199. #2417C22semidirect
200. #2417C22semidirect
201. #2416C22semidirect
202. #2416C22semidirect
203. #2415C22semidirect
204. #2414C22semidirect
205. #2414C22semidirect
206. #2412C22semidirect
207. #2412C22semidirect
208. #2411C22semidirect
209. #2410C22semidirect
210. #2408C22semidirect
211. #2407C22semidirect
212. #2407C22semidirect
213. #2407C22semidirect
224. #2392C22semidirect
225. #2392C22semidirect
226. #2392C22semidirect
227. #2392C22semidirect
228. #2392C22semidirect
229. #2392C22semidirect
230. C2×#398C22semidirect
232. C2×#396C22semidirect
234. C2×#394C22semidirect
236. #2367C22semidirect
237. #2362C22semidirect
238. #2361C22semidirect
239. #2359C22semidirect
240. #2359C22semidirect
241. #2358C22semidirect
242. #2358C22semidirect
243. #2353C22semidirect
244. #2352C22semidirect
245. #2352C22semidirect
246. #2345C22semidirect
247. #2342C22semidirect
248. #2341C22semidirect
250. #2325C22semidirect
251. #2325C22semidirect
252. #2323C22semidirect
253. #2323C22semidirect
254. #2322C22semidirect
255. #2318C22semidirect
256. #2317C22semidirect
257. #2317C22semidirect
258. #2309C22semidirect
259. #2309C22semidirect
260. C4×C22⋊Q8C22semidirect
262. #2283C22semidirect
264. C2×#380C22semidirect
265. C2×C4×C4⋊C4C22semidirect
266. C2×C4×C22⋊C4C22semidirect

Maximal subgroups

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

subgroupindex
#531522
#531352
#527172
#526432
#524312
#523972
#451622
#450232
#434672
#434422
#432652
#432202
#429822
#429802
#429062
#426842
#426732
#425412
#412282
#410792
#408892
#408082
#361682
#361562
#361482
#360962
#353252
#352622
#350772
#350242
C2×#23922