Finite Group Databasebeta

← #8425211

Subgroups — #8425211

Order 512.

5322 conjugacy classes of subgroups.

The subgroup lattice has 1873 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59815C211yesmaximal, characteristic, complemented
2#59676C212yesmaximal, complemented
3#59212C211yesmaximal, characteristic, complemented
4#59212C211yesmaximal, characteristic, complemented
5#58999C212yesmaximal, complemented
6#55044C214yesmaximal, complemented
7#54414C214yesmaximal, complemented
8#53152C212yesmaximal, complemented
9#53103C212yesmaximal, complemented
10#53045C212yesmaximal, complemented
11#52971C212yesmaximal, complemented
12#52483C214yesmaximal, complemented
13#42985C212yesmaximal, complemented
14#42760C212yesmaximal, complemented
15#42508C212yesmaximal, complemented
16#42506C212yesmaximal, complemented
17#41282C214yesmaximal, complemented
18#40116C212yesmaximal, complemented
19#39935C212yesmaximal, complemented
20#39340C211yesmaximal, characteristic, complemented
21#39191C211yesmaximal, characteristic, complemented
22#39052C212yesmaximal, complemented
23#38975C211yesmaximal, characteristic, complemented
24#38920C211yesmaximal, characteristic, complemented
25#37656C212yesmaximal, complemented
26#37628C211yesmaximal, characteristic, complemented
27#37621C211yesmaximal, characteristic, complemented
28#37505C212yesmaximal, complemented
29#37445C212yesmaximal, complemented
30#36259C211yesmaximal, characteristic, complemented
31#36210C211yesmaximal, characteristic, complemented
32#36100C211yesmaximal, characteristic, complemented
33#34935C211yesmaximal, characteristic, complemented
34#34727C211yesmaximal, characteristic, complemented
35#34681C211yesmaximal, characteristic, complemented
36C2×#550C2212yescomplemented
37C2×#547C2211yescharacteristic
38C2×#547C2212yes—
39C2×#547C2211yescharacteristic, complemented
40C2×#537C2212yescomplemented
41C2×#532C2211yescharacteristic
42C2×#529C2211yescharacteristic, complemented
43C2×#525C2212yes—
44C2×#525C2212yes—
45C2×#525C2212yes—
46C2×C4×#41C2211yescharacteristic
47C22×C4×D4C2211yescharacteristic
48#2859C2211yescharacteristic, complemented
49#2857C2211yescharacteristic
50#2857C2211yescharacteristic, complemented
51#2854C2212yescomplemented
52#2848C2212yes—
53#2838C2214yescomplemented
54#2837C2214yescomplemented
55#2837C2214yescomplemented
56#2836C2214yescomplemented
57#2834C2214yescomplemented
58#2829C2214yes—
59#2829C2214yes—
60#2829C2214yes—
61#2825C2214yes—
62#2825C2214yes—
63#2815C2214yes—
64#2813C2214yescomplemented
65#2812C2214yes—
66#2812C2214yes—
67#2803C2214yescomplemented
68#2801C2214yescomplemented
69#2795C2214yescomplemented
70#2792C2214yescomplemented
71#2778C2214yes—
72#2778C2214yescomplemented
73#2778C2214yescomplemented
74#2765C2214yes—
75#2765C2214yescomplemented
76#2761C2214yescomplemented
77#2757C2214yescomplemented
78#2756C2214yescomplemented
79#2756C2214yescomplemented
80#2753C2214yescomplemented
81#2753C2214yescomplemented
82#2752C2214yes—
83#2748C2214yescomplemented
84#2743C2214yes—
85#2735C2214yes—
86#2718C2214yescomplemented
87#2711C2214yescomplemented
88#2707C2214yescomplemented
89#2706C2214yescomplemented
90#2697C2214yes—
91#2688C2214yescomplemented
92#2688C2214yescomplemented
93#2682C2214yescomplemented
94#2680C2214yes—
95#2678C2214yes—
96#2678C2214yes—
97#2673C2214yes—
98#2673C2214yescomplemented
99#2672C2214yescomplemented
100#2671C2214yes—
101#2671C2214yescomplemented
102#2669C2214yes—
103#2668C2214yes—
104#2663C2214yescomplemented
105#2662C2214yescomplemented
106#2661C2214yescomplemented
107#2654C2214yescomplemented
108#2652C2214yescomplemented
109#2649C2214yescomplemented
110#2647C2212yescomplemented
111#2644C2212yes—
112#2644C2212yes—
113#2643C2214yescomplemented
114#2639C2214yescomplemented
115#2638C2214yes—
116#2638C2214yescomplemented
117#2635C2214yes—
118#2628C2212yescomplemented
119#2625C2212yescomplemented
120#2624C2212yes—
121#2624C2212yescomplemented
122#2621C2212yescomplemented
123#2619C2212yes—
124#2616C2212yescomplemented
125#2616C2212yescomplemented
126#2615C2212yescomplemented
127#2602C2214yescomplemented
128#2602C2214yescomplemented
129#2595C2214yescomplemented
130#2595C2214yescomplemented
131#2587C2214yescomplemented
132#2576C2214yescomplemented
133#2571C2211yescharacteristic, complemented
134#2562C2212yes—
135#2562C2212yescomplemented
136#2546C2211yescharacteristic, complemented
137#2543C2214yescomplemented
138#2542C2211yescharacteristic
139#2542C2212yescomplemented
140#2541C2212yes—
141#2540C2212yescomplemented
142#2538C2211yescharacteristic
143#2538C2211yescharacteristic
144#2538C2212yescomplemented
145#2538C2211yescharacteristic, complemented
146#2537C2211yescharacteristic
147#2537C2211yescharacteristic
148#2537C2211yescharacteristic
149#2537C2212yescomplemented
150#2537C2211yescharacteristic, complemented
151#2536C2212yes—
152#2535C2212yes—
153#2535C2212yes—
154#2535C2212yescomplemented
155#2534C2214yes—
156#2514C2212yescomplemented
157#2513C2212yes—
158#2510C2214yescomplemented
159#2509C2212yescomplemented
160#2507C2212yescomplemented
161#2507C2212yescomplemented
162#2504C2212yes—
163#2504C2212yescomplemented
164#2497C2212yescomplemented
165#2495C2212yes—
166#2494C2212yes—
167#2494C2212yescomplemented
168#2494C2212yescomplemented
169#2494C2212yescomplemented
170#2494C2212yescomplemented
171#2494C2212yescomplemented
172#2489C2212yescomplemented
173#2487C2212yescomplemented
174#2487C2212yescomplemented
175#2486C2212yes—
176#2486C2212yes—
177#2486C2212yescomplemented
178#2485C2212yes—
179#2485C2212yes—
180#2485C2212yescomplemented
181#2485C2212yescomplemented
182#2485C2212yescomplemented
183#2479C2212yescomplemented
184#2472C2212yes—
185#2471C2212yescomplemented
186#2467C2212yes—
187#2464C2212yes—
188#2464C2214yes—
189#2464C2214yescomplemented
190#2461C2212yes—
191#2456C2212yes—
192#2456C2214yescomplemented
193#2455C2214yes—
194#2455C2214yes—
195#2454C2211yescharacteristic, complemented
196#2452C2211yescharacteristic
197#2449C2214yescomplemented
198#2448C2211yescharacteristic, complemented
199#2445C2212yes—
200#2445C2211yescharacteristic
201#2445C2214yescomplemented
202#2445C2214yescomplemented
203#2443C2214yescomplemented
204#2443C2214yescomplemented
205#2441C2211yescharacteristic
206#2440C2211yescharacteristic
207#2440C2212yescomplemented
208#2433C2211yescharacteristic
209#2432C2212yescomplemented
210#2431C2211yescharacteristic
211#2429C2212yescomplemented
212#2429C2212yescomplemented
213#2428C2211yescharacteristic
214#2428C2212yes—
215#2428C2212yescomplemented
216#2428C2211yescharacteristic, complemented
217#2425C2214yes—
218#2424C2212yes—
219#2423C2211yescharacteristic, complemented
220#2422C2212yes—
221#2422C2211yescharacteristic
222#2422C2214yescomplemented
223#2421C2212yescomplemented
224#2421C2212yescomplemented
225#2418C2214yes—
226#2417C2212yescomplemented
227#2417C2212yescomplemented
228#2416C2211yescharacteristic
229#2416C2212yes—
230#2416C2212yes—
231#2416C2212yes—
232#2416C2212yes—
233#2416C2212yescomplemented
234#2415C2212yes—
235#2415C2212yes—
236#2415C2212yes—
237#2415C2212yescomplemented
238#2414C2212yes—
239#2414C2212yes—
240#2414C2212yes—
241#2414C2211yescharacteristic
242#2414C2212yes—
243#2414C2212yes—
244#2414C2212yescomplemented
245#2413C2214yescomplemented
246#2408C2212yes—
247#2408C2211yescharacteristic
248#2408C2212yes—
249#2407C2212yes—
250#2407C2211yescharacteristic
251#2407C2212yescomplemented
252#2407C2212yescomplemented
253#2407C2212yescomplemented
254#2407C2212yescomplemented
255#2397C2212yes—
256#2392C2214yes—
257#2392C2212yes—
258#2392C2212yes—
259#2388C2212yes—
260#2370C2212yescomplemented
261#2363C2212yescomplemented
262#2363C2212yescomplemented
263#2362C2212yes—
264#2361C2212yes—
265#2361C2214yescomplemented
266#2354C2211yescharacteristic
267#2354C2211yescharacteristic, complemented
268#2352C2212yes—
269#2352C2212yescomplemented
270D4×C4⋊C4C2212yes—
271D4×C4⋊C4C2212yescomplemented
272D4×C4⋊C4C2211yescharacteristic, complemented
273D4×C4⋊C4C2211yescharacteristic, complemented
274#2347C2212yescomplemented
275#2339C2212yescomplemented
276#2335C2214yescomplemented
277#2324C2212yescomplemented
278#2319C2212yescomplemented
279#2317C2212yescomplemented
280C4×C4⋊Q8C2211yescharacteristic, complemented
281C4×#127C2211yescharacteristic
282C4×#127C2211yescharacteristic, complemented
283C4×#121C2211yescharacteristic
284C4×#121C2211yescharacteristic
285C4×#121C2212yes—
286C4×#121C2211yescharacteristic
287C4×#121C2212yes—
288C4×#121C2212yescomplemented
289C4×#121C2211yescharacteristic, complemented
290C4×#120C2212yes—
291#2295C2211yescharacteristic, complemented
292#2293C2211yescharacteristic
293C2×#389C2212yescomplemented
294#2290C2212yescomplemented
295#2285C2211yescharacteristic
296#2285C2211yescharacteristic, complemented
297#2280C2212yes—
298C42×D4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2312yes—
301C22×#41C2312yes—
302C22×#41C2312yes—
303C23×D4C2311yescharacteristic
304C24×C4C2312yes—
305#550—48no—
306#547—44no—
307#547—44no—
308#547—48no—
309#537—48no—
310#532—44no—
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2311yescharacteristic
314C2×#127C2311yescharacteristic
315C2×#127C2311yescharacteristic
316C2×#127C2311yescharacteristic
317C2×#127C2314yes—
318#529—44no—
319C2×#126C2312yes—
320C2×#125C2312yes—
321C2×#125C2311yescharacteristic
322C2×#124C2312yes—
323C2×#124C2311yescharacteristic
324#525—48no—
325#525—48no—
326#525—48no—
327C2×#123C2314yes—
328C2×#123C2314yes—
329C2×#123C2312yes—
330C2×#123C2312yes—
331C2×#123C2314yes—
332C2×#123C2314yes—
333C2×#123C2314yes—
334C2×#123C2312yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2311yescharacteristic
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2314yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2312yes—
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2311yescharacteristic
353C2×#121C2311yescharacteristic
354C2×#121C2312yes—
355C2×#121C2311yescharacteristic
356C2×#121C2312yes—
357C2×#121C2312yes—
358C2×#121C2312yes—
359C2×#121C2314yes—
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2312yes—
363C2×#121C2314yes—
364C2×#121C2312yes—
365C2×#121C2311yescharacteristic
366C2×#121C2311yescharacteristic
367C2×#121C2312yes—
368C2×#121C2312yes—
369C2×#121C2314yes—
370C2×#121C2314yes—
371C2×#121C2311yescharacteristic
372C2×#121C2314yes—
373C2×#121C2312yes—
374C2×#121C2314yes—
375C2×#121C2311yescharacteristic
376C2×#121C2314yes—
377C2×#121C2312yes—
378C2×#120C2314yes—
379C2×#120C2314yes—
380C2×#120C2312yes—
381C2×#120C2312yes—
382C2×#120C2312yes—
383C4×#41—44no—
384C2×C4×Q8C2311yescharacteristic
385C2×C4×Q8C2312yes—
386C2×C4×Q8C2311yescharacteristic
387C2×C4×D4—44no—
388C2×C4×D4C2311yescharacteristic
389C2×C4×D4C2311yescharacteristic
390C2×C4×D4C2311yescharacteristic
391C2×C4×D4C2311yescharacteristic
392C2×C4×D4C2312yes—
393C2×C4×D4C2311yescharacteristic
394C2×C4×D4C2311yescharacteristic
395C2×C4×D4C2312yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2311yescharacteristic
400C2×C4×D4C2312yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2311yescharacteristic
404C2×C4×D4C2314yes—
405C2×C4×D4C2314yes—
406C2×C4×D4C2312yes—
407C2×C4×D4C2314yes—
408C2×C4×D4C2312yes—
409C2×C4×D4C2311yescharacteristic
410C2×C4×D4C2314yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2312yes—
415C2×C4×D4C2314yes—
416C2×C4×D4C2311yescharacteristic
417C2×C4×D4C2312yes—
418C2×C4×D4C2311yescharacteristic
419C2×C4×D4C2312yes—
420C2×#117C2312yes—
421C2×#117C2312yes—
422C2×#117C2312yes—
423C2×#117C2312yes—
424C2×#117C2312yes—
425C2×#117C2312yes—
426C2×#117C2312yes—
427C2×#117C2311yescharacteristic
428C22×C4⋊C4C2312yes—
429C22×C4⋊C4C2311yescharacteristic
430C22×C4⋊C4C2312yes—
431C22×C4⋊C4C2312yes—
432C22×C4⋊C4C2312yes—
433C22×C4⋊C4C2314yes—
434C22×C22⋊C4C2312yes—
435C22×C42C2311yescharacteristic
436C22×C42C2311yescharacteristic
437C22×C42C2312yes—
438#401C2314yes—
439#401C2314yes—
440#401C2314yes—
441#400C2314yes—
442#400C2314yes—
443#400C2314yes—
444#400C2314yes—
445#400C2314yes—
446#400C2314yes—
447#400C2314yes—
448#400C2314yes—
449#399C2312yes—
450#399C2312yes—
451#399C2314yes—
452#399C2314yes—
453#399C2314yes—
454#399C2314yes—
455#399C2314yes—
456#399C2312yes—
457#399C2312yes—
458#398C2314yes—
459#398C2312yes—
460#398C2312yes—
461#398C2314yes—
462#398C2314yes—
463#398C2314yes—
464#398C2314yes—
465#398C2314yes—
466#398C2314yes—
467#398C2314yes—
468#398C2314yes—
469#398C2314yes—
470#397C2312yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#397C2314yes—
477#397C2314yes—
478#397C2314yes—
479#397C2314yes—
480#397C2314yes—
481#397C2314yes—
482#397C2314yes—
483#397C2314yes—
484#397C2314yes—
485#397C2314yes—
486#397C2314yes—
487#397C2314yes—
488#397C2314yes—
489#397C2314yes—
490#397C2314yes—
491#397C2314yes—
492#397C2312yes—
493#396C2312yes—
494#396C2314yes—
495#396C2314yes—
496#396C2314yes—
497#396C2314yes—
498#396C2314yes—
499#396C2314yes—
500#396C2314yes—
501#396C2314yes—
502#396C2312yes—
503#396C2312yes—
504#396C2312yes—
505#396C2314yes—
506#396C2314yes—
507#395C2314yes—
508#395C2314yes—
509#395C2312yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2312yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2312yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#394C2312yes—
536#394C2314yes—
537#394C2312yes—
538#394C2314yes—
539#394C2312yes—
540#394C2312yes—
541#394C2312yes—
542#394C2314yes—
543#394C2312yes—
544#394C2312yes—
545#394C2314yes—
546#394C2314yes—
547#394C2314yes—
548#393C2312yes—
549#393C2314yes—
550#392C2312yes—
551#392C2314yes—
552#392C2314yes—
553#392C2314yes—
554#392C2314yes—
555#392C2314yes—
556#392C2314yes—
557#392C2312yes—
558#392C2312yes—
559#392C2314yes—
560#392C2314yes—
561#392C2314yes—
562#392C2312yes—
563#392C2314yes—
564#392C2312yes—
565#392C2312yes—
566#392C2312yes—
567#392C2312yes—
568#392C2312yes—
569#392C2314yes—
570#392C2314yes—
571#392C2314yes—
572#391C2312yes—
573#391C2312yes—
574#391C2312yes—
575#391C2312yes—
576#391C2311yescharacteristic
577#391C2311yescharacteristic
578#390C2311yescharacteristic
579#390C2311yescharacteristic
580#390C2312yes—
581#390C2312yes—
582#390C2311yescharacteristic
583#390C2311yescharacteristic
584#390C2312yes—
585#390C2312yes—
586#390C2314yes—
587#390C2314yes—
588#390C2314yes—
589#390C2312yes—
590#390C2314yes—
591#390C2314yes—
592#390C2314yes—
593#390C2311yescharacteristic
594#390C2312yes—
595#390C2312yes—
596#390C2312yes—
597#390C2312yes—
598#390C2311yescharacteristic
599#390C2312yes—
600#390C2311yescharacteristic
601#390C2312yes—
602#390C2311yescharacteristic
603#390C2314yes—
604#390C2311yescharacteristic
605#390C2311yescharacteristic
606#389C2312yes—
607#389C2312yes—
608#389C2312yes—
609#389C2312yes—
610#389C2311yescharacteristic
611#389C2312yes—
612#389C2312yes—
613#389C2312yes—
614#389C2312yes—
615#389C2312yes—
616#389C2314yes—
617#389C2314yes—
618#389C2312yes—
619#389C2314yes—
620#389C2314yes—
621#389C2312yes—
622#389C2312yes—
623#389C2312yes—
624#389C2314yes—
625#389C2312yes—
626#389C2312yes—
627#389C2312yes—
628#389C2312yes—
629#389C2314yes—
630#389C2312yes—
631#389C2311yescharacteristic
632#389C2312yes—
633#389C2312yes—
634#389C2311yescharacteristic
635#389C2314yes—
636#389C2311yescharacteristic
637#389C2311yescharacteristic
638#389C2311yescharacteristic
639#389C2311yescharacteristic
640#389C2311yescharacteristic
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2312yes—
653#388C2312yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2312yes—
659#388C2312yes—
660#388C2312yes—
661#388C2312yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2312yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2312yes—
674#388C2312yes—
675#388C2312yes—
676#388C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2312yes—
681#387C2314yes—
682#387C2312yes—
683#387C2312yes—
684#387C2314yes—
685#387C2314yes—
686#387C2314yes—
687#387C2314yes—
688#387C2314yes—
689#387C2314yes—
690#387C2312yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2312yes—
698#386C2312yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2312yes—
707#386C2314yes—
708#386C2314yes—
709#386C2312yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2312yes—
714#386C2312yes—
715#386C2312yes—
716#386C2312yes—
717#386C2312yes—
718#386C2312yes—
719#386C2312yes—
720#386C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2314yes—
724#385C2314yes—
725#385C2314yes—
726#385C2314yes—
727#385C2312yes—
728#385C2314yes—
729#385C2314yes—
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#385C2312yes—
735#385C2314yes—
736#385C2312yes—
737#385C2312yes—
738#385C2312yes—
739#384C2311yescharacteristic
740#384C2311yescharacteristic
741#384C2311yescharacteristic
742#384C2314yes—
743#384C2311yescharacteristic
744#384C2311yescharacteristic
745#384C2312yes—
746#383C2314yes—
747#382C2312yes—
748#382C2312yes—
749#382C2314yes—
750#382C2312yes—
751#382C2312yes—
752#382C2312yes—
753#381C2314yes—
754#381C2314yes—
755#381C2314yes—
756#380C2312yes—
757#380C2312yes—
758#380C2312yes—
759#380C2312yes—
760#380C2312yes—
761#380C2312yes—
762#380C2312yes—
763#380C2312yes—
764#380C2314yes—
765#380C2314yes—
766#380C2311yescharacteristic
767#380C2312yes—
768#380C2312yes—
769#380C2312yes—
770#380C2312yes—
771#380C2312yes—
772#380C2312yes—
773#380C2312yes—
774#380C2312yes—
775#380C2311yescharacteristic
776#380C2312yes—
777#380C2312yes—
778#380C2311yescharacteristic
779#380C2312yes—
780#380C2312yes—
781#380C2312yes—
782#380C2311yescharacteristic
783#380C2312yes—
784#380C2312yes—
785#380C2312yes—
786#379C2314yes—
787#379C2312yes—
788#379C2314yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2314yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2311yescharacteristic
801C4×C4⋊C4C2311yescharacteristic
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2311yescharacteristic
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2314yes—
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2311yescharacteristic
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2311yescharacteristic
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2311yescharacteristic
818C4×C22⋊C4C2311yescharacteristic
819#376C2312yes—
820C2×#95C2314yes—
821C43C2311yescharacteristic
822C25C2412yes—
823C2×#41—24no—
824C2×#41—28no—
825C2×#41—24no—
826C2×#41—44no—
827C2×#41—44no—
828C2×#41—44no—
829C2×#41—42no—
830C2×#41—44no—
831C2×#41—44no—
832C2×#41—44no—
833C2×#41—44no—
834C2×#41—44no—
835C22×Q8C2411yescharacteristic
836C22×Q8C2412yes—
837C22×Q8C2412yes—
838C22×D4—42no—
839C22×D4—42no—
840C22×D4—42no—
841C22×D4C2411yescharacteristic
842C22×D4C2411yescharacteristic
843C22×D4C2411yescharacteristic
844C22×D4C2411yescharacteristic
845C22×D4C2412yes—
846C22×D4C2412yes—
847C22×D4C2411yescharacteristic
848C22×D4C2411yescharacteristic
849C22×D4C2412yes—
850C22×D4C2412yes—
851C22×D4C2414yes—
852C22×D4C2414yes—
853C22×D4C2412yes—
854C22×D4C2412yes—
855C22×D4C2412yes—
856C22×D4C2414yes—
857C22×D4C2412yes—
858C22×D4C2414yes—
859C22×D4C2412yes—
860C22×D4C2412yes—
861C22×D4C2412yes—
862C22×D4C2412yes—
863C22×D4C2412yes—
864C22×D4C2414yes—
865C22×D4C2412yes—
866C22×D4C2412yes—
867C22×D4C2414yes—
868C23×C4—28no—
869C23×C4—44no—
870C23×C4—44no—
871C23×C4C2412yes—
872C23×C4C2412yes—
873C23×C4C2412yes—
874C23×C4C2411yescharacteristic
875C23×C4C2411yescharacteristic
876C23×C4C2412yes—
877C23×C4C2412yes—
878C23×C4C2411yescharacteristic
879C23×C4C2412yes—
880C23×C4C2411yescharacteristic
881C23×C4C2411yescharacteristic
882C23×C4C2412yes—
883C23×C4C2414yes—
884C23×C4C2412yes—
885C23×C4C2412yes—
886C23×C4C2411yescharacteristic
887C23×C4C2414yes—
888C23×C4C2414yes—
889C23×C4C2414yes—
890C23×C4C2412yes—
891C4⋊Q8—24no—
892C4⋊Q8—42no—
893C4⋊Q8—44no—
894#127—24no—
895#127—42no—
896#127—42no—
897#127—48no—
898#126—44no—
899#125—44no—
900#125—42no—
901#124—44no—
902#124—42no—
903#123—48no—
904#123—48no—
905#123—48no—
906#123—48no—
907#123—44no—
908#123—44no—
909#123—48no—
910#123—44no—
911#123—48no—
912#123—48no—
913C22⋊Q8—28no—
914C22⋊Q8—44no—
915C22⋊Q8—48no—
916C22⋊Q8—44no—
917C22⋊Q8—44no—
918C22⋊Q8—44no—
919C22⋊Q8—44no—
920C22⋊Q8—42no—
921C22⋊Q8—44no—
922C22⋊Q8—44no—
923C22⋊Q8—44no—
924C22⋊Q8—44no—
925C22⋊Q8—44no—
926#121—28no—
927#121—28no—
928#121—24no—
929#121—24no—
930#121—44no—
931#121—44no—
932#121—44no—
933#121—48no—
934#121—48no—
935#121—48no—
936#121—48no—
937#121—48no—
938#121—42no—
939#121—44no—
940#121—42no—
941#121—44no—
942#121—44no—
943#121—44no—
944#121—44no—
945#121—42no—
946#121—42no—
947#121—42no—
948#121—44no—
949#121—44no—
950#121—44no—
951#121—44no—
952#121—48no—
953#121—48no—
954#120—44no—
955#120—44no—
956#120—44no—
957#120—48no—
958#120—48no—
959C4×Q8—24no—
960C4×Q8—42no—
961C4×Q8—44no—
962C4×D4—24no—
963C4×D4—28no—
964C4×D4—24no—
965C4×D4—24no—
966C4×D4—24no—
967C4×D4—24no—
968C4×D4—24no—
969C4×D4—44no—
970C4×D4—42no—
971C4×D4—42no—
972C4×D4—42no—
973C4×D4—44no—
974C4×D4—42no—
975C4×D4—44no—
976C4×D4—44no—
977C4×D4—44no—
978C4×D4—42no—
979C4×D4—44no—
980C4×D4—44no—
981C4×D4—44no—
982C4×D4—44no—
983C4×D4—44no—
984C4×D4—44no—
985C4×D4—44no—
986C4×D4—44no—
987C4×D4—44no—
988C4×D4—44no—
989C4×D4—48no—
990C4×D4—48no—
991C4×D4—48no—
992C4×D4—48no—
993C4×D4—48no—
994#117—44no—
995#117—44no—
996#117—44no—
997#117—44no—
998#117—44no—
999#117—42no—
1000#117—44no—
1001#117—44no—
1002C2×C4⋊C4—44no—
1003C2×C4⋊C4—42no—
1004C2×C4⋊C4—44no—
1005C2×C4⋊C4—44no—
1006C2×C4⋊C4—44no—
1007C2×C4⋊C4—48no—
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2411yescharacteristic
1028C2×C4⋊C4C2411yescharacteristic
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2414yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2411yescharacteristic
1053C2×C4⋊C4C2411yescharacteristic
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2414yes—
1059C2×C4⋊C4C2414yes—
1060C2×C4⋊C4C2414yes—
1061C2×C4⋊C4C2414yes—
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2414yes—
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2414yes—
1068C2×C22⋊C4—44no—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2411yescharacteristic
1075C2×C22⋊C4C2411yescharacteristic
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2411yescharacteristic
1080C2×C22⋊C4C2411yescharacteristic
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2411yescharacteristic
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2411yescharacteristic
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2412yes—
1146C2×C42—24no—
1147C2×C42—24no—
1148C2×C42—44no—
1149C2×C42C2411yescharacteristic
1150C2×C42C2411yescharacteristic
1151C2×C42C2411yescharacteristic
1152C2×C42C2412yes—
1153C2×C42C2412yes—
1154C2×C42C2411yescharacteristic
1155C2×C42C2411yescharacteristic
1156C2×C42C2412yes—
1157C2×C42C2411yescharacteristic
1158C2×C42C2411yescharacteristic
1159C2×C42C2411yescharacteristic
1160C2×C42C2411yescharacteristic
1161C2×C42C2411yescharacteristic
1162C2×C42C2411yescharacteristic
1163C2×C42C2412yes—
1164C2×C42C2414yes—
1165C2×C42C2414yes—
1166C2×C42C2414yes—
1167C2×C42C2414yes—
1168C2×C42C2414yes—
1169C2×C42C2412yes—
1170C2×C42C2411yescharacteristic
1171C2×C42C2411yescharacteristic
1172#95C2412yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2411yescharacteristic
1183#95C2411yescharacteristic
1184#95C2411yescharacteristic
1185#95C2411yescharacteristic
1186#95C2411yescharacteristic
1187#95C2411yescharacteristic
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2412yes—
1192#95C2414yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2414yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2414yes—
1205#95C2414yes—
1206#95C2414yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2414yes—
1213#95C2412yes—
1214#95C2414yes—
1215#95C2414yes—
1216#95C2414yes—
1217#95C2414yes—
1218#95C2414yes—
1219#95C2414yes—
1220#95C2414yes—
1221#95C2414yes—
1222#95C2414yes—
1223#95C2414yes—
1224C24—24no—
1225C24—42no—
1226C24—42no—
1227C24—42no—
1228C24—42no—
1229C24—42no—
1230C24—42no—
1231C24C2512yes—
1232C24C2512yes—
1233C24C2512yes—
1234C24C2512yes—
1235C24C2511yescharacteristic
1236C24C2511yescharacteristic
1237C24C2512yes—
1238#41—416no—
1239#41—816no—
1240#41—816no—
1241#41—816no—
1242C2×Q8—22no—
1243C2×Q8—24no—
1244C2×Q8—24no—
1245C2×Q8—22no—
1246C2×Q8—24no—
1247C2×Q8—22no—
1248C2×Q8—42no—
1249C2×Q8—42no—
1250C2×Q8—42no—
1251C2×D4—22no—
1252C2×D4—24no—
1253C2×D4—24no—
1254C2×D4—24no—
1255C2×D4—24no—
1256C2×D4—24no—
1257C2×D4—28no—
1258C2×D4—28no—
1259C2×D4—24no—
1260C2×D4—24no—
1261C2×D4—28no—
1262C2×D4—22no—
1263C2×D4—22no—
1264C2×D4—22no—
1265C2×D4—22no—
1266C2×D4—22no—
1267C2×D4—22no—
1268C2×D4—22no—
1269C2×D4—22no—
1270C2×D4—22no—
1271C2×D4—24no—
1272C2×D4—22no—
1273C2×D4—22no—
1274C2×D4—22no—
1275C2×D4—22no—
1276C2×D4—22no—
1277C2×D4—24no—
1278C2×D4—42no—
1279C2×D4—42no—
1280C2×D4—42no—
1281C2×D4—42no—
1282C2×D4—41no—
1283C2×D4—41no—
1284C2×D4—42no—
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—44no—
1298C2×D4—42no—
1299C2×D4—42no—
1300C2×D4—42no—
1301C2×D4—42no—
1302C2×D4—42no—
1303C2×D4—42no—
1304C2×D4—42no—
1305C2×D4—42no—
1306C2×D4—44no—
1307C2×D4—44no—
1308C2×D4—44no—
1309C2×D4—44no—
1310C2×D4—42no—
1311C2×D4—44no—
1312C2×D4—44no—
1313C2×D4—44no—
1314C2×D4—42no—
1315C2×D4—42no—
1316C2×D4—44no—
1317C2×D4—44no—
1318C2×D4—42no—
1319C2×D4—42no—
1320C2×D4—42no—
1321C2×D4—42no—
1322C2×D4—42no—
1323C2×D4—42no—
1324C2×D4—42no—
1325C2×D4—42no—
1326C2×D4—42no—
1327C2×D4—44no—
1328C2×D4—44no—
1329C2×D4—44no—
1330C2×D4—44no—
1331C2×D4—416no—
1332C2×D4H(5,𝔽2)14yes—
1333C22×C4—22no—
1334C22×C4—22no—
1335C22×C4—24no—
1336C22×C4—24no—
1337C22×C4—28no—
1338C22×C4—22no—
1339C22×C4—22no—
1340C22×C4—22no—
1341C22×C4—24no—
1342C22×C4—24no—
1343C22×C4—24no—
1344C22×C4—24no—
1345C22×C4—24no—
1346C22×C4—24no—
1347C22×C4—24no—
1348C22×C4—22no—
1349C22×C4—24no—
1350C22×C4—24no—
1351C22×C4—24no—
1352C22×C4—24no—
1353C22×C4—24no—
1354C22×C4—22no—
1355C22×C4—24no—
1356C22×C4—22no—
1357C22×C4—24no—
1358C22×C4—24no—
1359C22×C4—22no—
1360C22×C4—22no—
1361C22×C4—24no—
1362C22×C4—22no—
1363C22×C4—22no—
1364C22×C4—22no—
1365C22×C4—24no—
1366C22×C4—24no—
1367C22×C4—42no—
1368C22×C4—42no—
1369C22×C4—42no—
1370C22×C4—44no—
1371C22×C4—44no—
1372C22×C4—44no—
1373C22×C4—44no—
1374C22×C4—44no—
1375C22×C4—42no—
1376C22×C4—42no—
1377C22×C4—42no—
1378C22×C4—42no—
1379C22×C4—44no—
1380C22×C4—44no—
1381C22×C4—41no—
1382C22×C4—41no—
1383C22×C4—44no—
1384C22×C4—42no—
1385C22×C4—42no—
1386C22×C4—41no—
1387C22×C4—41no—
1388C22×C4—42no—
1389C22×C4—44no—
1390C22×C4—44no—
1391C22×C4—44no—
1392C22×C4—816no—
1393C22×C4H(5,𝔽2)14yes—
1394C22×C4C2511yescharacteristic
1395C22×C4C2511yescharacteristic
1396C22×C4C2511yescharacteristic
1397C22×C4C2511yescharacteristic
1398C22×C4C2514yes—
1399C22×C4C2512yes—
1400C22×C4C2511yescharacteristic
1401C22×C4C2512yes—
1402C22×C4C2512yes—
1403C22×C4C2512yes—
1404C22×C4C2512yes—
1405C22×C4C2514yes—
1406C22×C4C2514yes—
1407C22×C4C2511yescharacteristic
1408C22×C4C2511yescharacteristic
1409C22×C4C2512yes—
1410C22×C4C2512yes—
1411C22×C4C2512yes—
1412C22×C4C2511yescharacteristic
1413C22×C4C2514yes—
1414C22×C4C2512yes—
1415C22×C4C2512yes—
1416C22×C4C2512yes—
1417C22×C4C2511yescharacteristic
1418C22×C4C2511yescharacteristic
1419C22×C4C2511yescharacteristic
1420C22×C4C2511yescharacteristic
1421C22×C4C2511yescharacteristic
1422C4⋊C4—22no—
1423C4⋊C4—22no—
1424C4⋊C4—24no—
1425C4⋊C4—22no—
1426C4⋊C4—24no—
1427C4⋊C4—24no—
1428C4⋊C4—22no—
1429C4⋊C4—28no—
1430C4⋊C4—22no—
1431C4⋊C4—22no—
1432C4⋊C4—22no—
1433C4⋊C4—24no—
1434C4⋊C4—24no—
1435C4⋊C4—24no—
1436C4⋊C4—22no—
1437C4⋊C4—22no—
1438C4⋊C4—24no—
1439C4⋊C4—22no—
1440C4⋊C4—24no—
1441C4⋊C4—22no—
1442C4⋊C4—24no—
1443C4⋊C4—24no—
1444C4⋊C4—24no—
1445C4⋊C4—28no—
1446C4⋊C4—44no—
1447C4⋊C4—42no—
1448C4⋊C4—44no—
1449C4⋊C4—44no—
1450C4⋊C4—44no—
1451C4⋊C4—44no—
1452C4⋊C4—44no—
1453C4⋊C4—42no—
1454C4⋊C4—42no—
1455C4⋊C4—44no—
1456C4⋊C4—42no—
1457C4⋊C4—42no—
1458C4⋊C4—42no—
1459C4⋊C4—42no—
1460C4⋊C4—42no—
1461C4⋊C4—42no—
1462C4⋊C4—41no—
1463C4⋊C4—42no—
1464C4⋊C4—42no—
1465C4⋊C4—42no—
1466C4⋊C4—41no—
1467C4⋊C4—42no—
1468C4⋊C4—42no—
1469C4⋊C4—42no—
1470C4⋊C4—42no—
1471C4⋊C4—44no—
1472C4⋊C4—44no—
1473C4⋊C4—44no—
1474C4⋊C4—42no—
1475C4⋊C4—44no—
1476C4⋊C4—44no—
1477C4⋊C4—44no—
1478C4⋊C4—44no—
1479C4⋊C4—42no—
1480C4⋊C4—42no—
1481C4⋊C4—44no—
1482C22⋊C4—22no—
1483C22⋊C4—24no—
1484C22⋊C4—28no—
1485C22⋊C4—28no—
1486C22⋊C4—28no—
1487C22⋊C4—24no—
1488C22⋊C4—24no—
1489C22⋊C4—24no—
1490C22⋊C4—24no—
1491C22⋊C4—22no—
1492C22⋊C4—24no—
1493C22⋊C4—24no—
1494C22⋊C4—24no—
1495C22⋊C4—24no—
1496C22⋊C4—22no—
1497C22⋊C4—22no—
1498C22⋊C4—24no—
1499C22⋊C4—42no—
1500C22⋊C4—42no—
1501C22⋊C4—42no—
1502C22⋊C4—42no—
1503C22⋊C4—44no—
1504C22⋊C4—42no—
1505C22⋊C4—44no—
1506C22⋊C4—44no—
1507C22⋊C4—42no—
1508C22⋊C4—42no—
1509C22⋊C4—42no—
1510C22⋊C4—42no—
1511C22⋊C4—44no—
1512C22⋊C4—44no—
1513C22⋊C4—42no—
1514C22⋊C4—42no—
1515C22⋊C4—44no—
1516C22⋊C4—42no—
1517C22⋊C4—42no—
1518C22⋊C4—42no—
1519C22⋊C4—42no—
1520C22⋊C4—42no—
1521C22⋊C4—42no—
1522C22⋊C4—41no—
1523C22⋊C4—41no—
1524C22⋊C4—42no—
1525C22⋊C4—42no—
1526C22⋊C4—42no—
1527C22⋊C4—42no—
1528C22⋊C4—44no—
1529C22⋊C4—44no—
1530C22⋊C4—44no—
1531C22⋊C4—42no—
1532C22⋊C4—42no—
1533C22⋊C4—44no—
1534C22⋊C4—42no—
1535C22⋊C4—42no—
1536C22⋊C4—44no—
1537C22⋊C4—42no—
1538C22⋊C4—42no—
1539C22⋊C4—42no—
1540C22⋊C4—44no—
1541C22⋊C4—42no—
1542C22⋊C4—42no—
1543C22⋊C4—42no—
1544C22⋊C4—44no—
1545C22⋊C4—44no—
1546C22⋊C4—44no—
1547C22⋊C4—44no—
1548C22⋊C4—44no—
1549C22⋊C4—42no—
1550C22⋊C4—42no—
1551C22⋊C4—44no—
1552C22⋊C4—44no—
1553C22⋊C4—44no—
1554C22⋊C4—44no—
1555C22⋊C4—44no—
1556C22⋊C4—44no—
1557C22⋊C4—44no—
1558C22⋊C4—44no—
1559C42—22no—
1560C42—22no—
1561C42—22no—
1562C42—22no—
1563C42—22no—
1564C42—22no—
1565C42—24no—
1566C42—22no—
1567C42—24no—
1568C42—22no—
1569C42—22no—
1570C42—24no—
1571C42—22no—
1572C42—22no—
1573C42—42no—
1574C42—42no—
1575C42—41no—
1576C42—44no—
1577C42—44no—
1578C42—44no—
1579C42—44no—
1580C42—44no—
1581C42H(5,𝔽2)14yes—
1582C23—22no—
1583C23—21no—
1584C23—21no—
1585C23—22no—
1586C23—21no—
1587C23—22no—
1588C23—21no—
1589C23—22no—
1590C23—21no—
1591C23—22no—
1592C23—22no—
1593C23—21no—
1594C23—22no—
1595C23—22no—
1596C23—22no—
1597C23—22no—
1598C23—22no—
1599C23—21no—
1600C23—22no—
1601C23—22no—
1602C23—22no—
1603C23—22no—
1604C23—21no—
1605C23—22no—
1606C23—21no—
1607C23—22no—
1608C23—22no—
1609C23—21no—
1610C23—22no—
1611C23—21no—
1612C23—22no—
1613C23—22no—
1614C23—22no—
1615C23—22no—
1616C23—21no—
1617C23—22no—
1618C23—22no—
1619C23—22no—
1620C23—22no—
1621C23—22no—
1622C23—22no—
1623C23—22no—
1624C23—22no—
1625C23—22no—
1626C23—21no—
1627C23—22no—
1628C23—22no—
1629C23—48no—
1630C23—84no—
1631C23—84no—
1632C23—84no—
1633C23—84no—
1634C23—84no—
1635C23—84no—
1636C23C2×H(5,𝔽2)12yes—
1637C23C2×H(5,𝔽2)14yes—
1638C23C2611yescharacteristic
1639Q8—44no—
1640Q8—48no—
1641Q8—84no—
1642D4—28no—
1643D4—48no—
1644D4—48no—
1645D4—44no—
1646D4—48no—
1647D4—48no—
1648D4—44no—
1649D4—44no—
1650D4—44no—
1651D4—44no—
1652D4—84no—
1653D4—84no—
1654D4—84no—
1655D4—88no—
1656D4—84no—
1657D4—88no—
1658D4—88no—
1659D4—88no—
1660D4—84no—
1661D4—84no—
1662D4—84no—
1663D4—84no—
1664D4—84no—
1665D4—84no—
1666D4—84no—
1667D4—88no—
1668D4—164no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—28no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—22no—
1682C2×C4—22no—
1683C2×C4—22no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—22no—
1688C2×C4—22no—
1689C2×C4—22no—
1690C2×C4—24no—
1691C2×C4—22no—
1692C2×C4—24no—
1693C2×C4—24no—
1694C2×C4—24no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—21no—
1698C2×C4—22no—
1699C2×C4—22no—
1700C2×C4—22no—
1701C2×C4—21no—
1702C2×C4—22no—
1703C2×C4—22no—
1704C2×C4—22no—
1705C2×C4—24no—
1706C2×C4—22no—
1707C2×C4—22no—
1708C2×C4—24no—
1709C2×C4—22no—
1710C2×C4—22no—
1711C2×C4—21no—
1712C2×C4—22no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—22no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—24no—
1721C2×C4—24no—
1722C2×C4—24no—
1723C2×C4—22no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—22no—
1727C2×C4—22no—
1728C2×C4—21no—
1729C2×C4—22no—
1730C2×C4—22no—
1731C2×C4—22no—
1732C2×C4—21no—
1733C2×C4—24no—
1734C2×C4—24no—
1735C2×C4—21no—
1736C2×C4—22no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—22no—
1740C2×C4—22no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—22no—
1744C2×C4—24no—
1745C2×C4—48no—
1746C2×C4—48no—
1747C2×C4—48no—
1748C2×C4—48no—
1749C2×C4—44no—
1750C2×C4—48no—
1751C2×C4—44no—
1752C2×C4—48no—
1753C2×C4—44no—
1754C2×C4—82no—
1755C2×C4—82no—
1756C2×C4—84no—
1757C2×C4—84no—
1758C2×C4—84no—
1759C2×C4—88no—
1760C2×C4—88no—
1761C2×C4—84no—
1762C2×C4—88no—
1763C2×C4—164no—
1764C2×C4C2×H(5,𝔽2)12yes—
1765C2×C4C2×H(5,𝔽2)12yes—
1766C2×C4C2×H(5,𝔽2)12yes—
1767C2×C4C2×H(5,𝔽2)12yes—
1768C2×C4C2×H(5,𝔽2)12yes—
1769C2×C4C2×H(5,𝔽2)12yes—
1770C2×C4#58512yes—
1771C2×C4#58512yes—
1772C2×C4#58512yes—
1773C22—22no—
1774C22—24no—
1775C22—22no—
1776C22—24no—
1777C22—24no—
1778C22—22no—
1779C22—42no—
1780C22—41no—
1781C22—42no—
1782C22—41no—
1783C22—41no—
1784C22—42no—
1785C22—42no—
1786C22—41no—
1787C22—42no—
1788C22—42no—
1789C22—42no—
1790C22—41no—
1791C22—42no—
1792C22—42no—
1793C22—41no—
1794C22—42no—
1795C22—42no—
1796C22—42no—
1797C22—41no—
1798C22—42no—
1799C22—42no—
1800C22—42no—
1801C22—42no—
1802C22—42no—
1803C22—42no—
1804C22—41no—
1805C22—42no—
1806C22—42no—
1807C22—42no—
1808C22—42no—
1809C22—42no—
1810C22—41no—
1811C22—42no—
1812C22—42no—
1813C22—41no—
1814C22—42no—
1815C22—42no—
1816C22—42no—
1817C22—41no—
1818C22—42no—
1819C22—42no—
1820C22—42no—
1821C22—42no—
1822C22—816no—
1823C22C22×H(5,𝔽2)11yescharacteristic
1824C22C22×H(5,𝔽2)11yescharacteristic
1825C22C22×H(5,𝔽2)11yescharacteristic
1826C22C2×#58511yescharacteristic
1827C22C2×#58511yescharacteristic
1828C22C2×#58511yescharacteristic
1829C222−1+611yescharacteristic
1830C4—22no—
1831C4—22no—
1832C4—22no—
1833C4—42no—
1834C4—42no—
1835C4—42no—
1836C4—42no—
1837C4—41no—
1838C4—44no—
1839C4—41no—
1840C4—42no—
1841C4—42no—
1842C4—41no—
1843C4—42no—
1844C4—44no—
1845C4—41no—
1846C4—42no—
1847C4—44no—
1848C4—41no—
1849C4—44no—
1850C4—42no—
1851C4—42no—
1852C4—41no—
1853C4—41no—
1854C4—42no—
1855C4—41no—
1856C4#353714yes—
1857C4#353914yes—
1858C2—44no—
1859C2—42no—
1860C2—81no—
1861C2—82no—
1862C2—82no—
1863C2—82no—
1864C2—82no—
1865C2C2×#353711yescharacteristic
1866C2C2×#353911yescharacteristic
1867C2#6275911yescharacteristic
1868C2#6292111yescharacteristic
1869C2#6292511yescharacteristic
1870C2#6296011yescharacteristic
1871C2#6301811yescharacteristic
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. #59815C2semidirect
2. #59676C2semidirect
3. #59212C2semidirect
4. #59212C2semidirect
5. #58999C2semidirect
6. #55044C2semidirect
7. #54414C2semidirect
8. #53152C2semidirect
9. #53103C2semidirect
10. #53045C2semidirect
11. #52971C2semidirect
12. #52483C2semidirect
13. #42985C2semidirect
14. #42760C2semidirect
15. #42508C2semidirect
16. #42506C2semidirect
17. #41282C2semidirect
18. #40116C2semidirect
19. #39935C2semidirect
20. #39340C2semidirect
21. #39191C2semidirect
22. #39052C2semidirect
23. #38975C2semidirect
24. #38920C2semidirect
25. #37656C2semidirect
26. #37628C2semidirect
27. #37621C2semidirect
28. #37505C2semidirect
29. #37445C2semidirect
30. #36259C2semidirect
31. #36210C2semidirect
32. #36100C2semidirect
33. #34935C2semidirect
34. #34727C2semidirect
35. #34681C2semidirect
36. C2×#550C22semidirect
39. C2×#547C22semidirect
40. C2×#537C22semidirect
42. C2×#529C22semidirect
48. #2859C22semidirect
50. #2857C22semidirect
51. #2854C22semidirect
53. #2838C22semidirect
54. #2837C22semidirect
55. #2837C22semidirect
56. #2836C22semidirect
57. #2834C22semidirect
64. #2813C22semidirect
67. #2803C22semidirect
68. #2801C22semidirect
69. #2795C22semidirect
70. #2792C22semidirect
72. #2778C22semidirect
73. #2778C22semidirect
75. #2765C22semidirect
76. #2761C22semidirect
77. #2757C22semidirect
78. #2756C22semidirect
79. #2756C22semidirect
80. #2753C22semidirect
81. #2753C22semidirect
83. #2748C22semidirect
86. #2718C22semidirect
87. #2711C22semidirect
88. #2707C22semidirect
89. #2706C22semidirect
91. #2688C22semidirect
92. #2688C22semidirect
93. #2682C22semidirect
98. #2673C22semidirect
99. #2672C22semidirect
101. #2671C22semidirect
104. #2663C22semidirect
105. #2662C22semidirect
106. #2661C22semidirect
107. #2654C22semidirect
108. #2652C22semidirect
109. #2649C22semidirect
110. #2647C22semidirect
113. #2643C22semidirect
114. #2639C22semidirect
116. #2638C22semidirect
118. #2628C22semidirect
119. #2625C22semidirect
121. #2624C22semidirect
122. #2621C22semidirect
124. #2616C22semidirect
125. #2616C22semidirect
126. #2615C22semidirect
127. #2602C22semidirect
128. #2602C22semidirect
129. #2595C22semidirect
130. #2595C22semidirect
131. #2587C22semidirect
132. #2576C22semidirect
133. #2571C22semidirect
135. #2562C22semidirect
136. #2546C22semidirect
137. #2543C22semidirect
139. #2542C22semidirect
141. #2540C22semidirect
144. #2538C22semidirect
145. #2538C22semidirect
149. #2537C22semidirect
150. #2537C22semidirect
154. #2535C22semidirect
156. #2514C22semidirect
158. #2510C22semidirect
159. #2509C22semidirect
160. #2507C22semidirect
161. #2507C22semidirect
163. #2504C22semidirect
164. #2497C22semidirect
167. #2494C22semidirect
168. #2494C22semidirect
169. #2494C22semidirect
170. #2494C22semidirect
171. #2494C22semidirect
172. #2489C22semidirect
173. #2487C22semidirect
174. #2487C22semidirect
177. #2486C22semidirect
180. #2485C22semidirect
181. #2485C22semidirect
182. #2485C22semidirect
183. #2479C22semidirect
185. #2471C22semidirect
189. #2464C22semidirect
192. #2456C22semidirect
195. #2454C22semidirect
197. #2449C22semidirect
198. #2448C22semidirect
201. #2445C22semidirect
202. #2445C22semidirect
203. #2443C22semidirect
204. #2443C22semidirect
207. #2440C22semidirect
209. #2432C22semidirect
211. #2429C22semidirect
212. #2429C22semidirect
215. #2428C22semidirect
216. #2428C22semidirect
219. #2423C22semidirect
222. #2422C22semidirect
223. #2421C22semidirect
224. #2421C22semidirect
226. #2417C22semidirect
227. #2417C22semidirect
233. #2416C22semidirect
237. #2415C22semidirect
244. #2414C22semidirect
245. #2413C22semidirect
251. #2407C22semidirect
252. #2407C22semidirect
253. #2407C22semidirect
254. #2407C22semidirect
260. #2370C22semidirect
261. #2363C22semidirect
262. #2363C22semidirect
265. #2361C22semidirect
267. #2354C22semidirect
269. #2352C22semidirect
271. D4×C4⋊C4C22semidirect
272. D4×C4⋊C4C22semidirect
273. D4×C4⋊C4C22semidirect
274. #2347C22semidirect
275. #2339C22semidirect
276. #2335C22semidirect
277. #2324C22semidirect
278. #2319C22semidirect
279. #2317C22semidirect
280. C4×C4⋊Q8C22semidirect
282. C4×#127C22semidirect
288. C4×#121C22semidirect
289. C4×#121C22semidirect
291. #2295C22semidirect
293. C2×#389C22semidirect
294. #2290C22semidirect
296. #2285C22semidirect

Maximal subgroups

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

subgroupindex
#598152
#596762
#592122
#589992
#550442
#544142
#531522
#531032
#530452
#529712
#524832
#429852
#427602
#425082
#425062
#412822
#401162
#399352
#393402
#391912
#390522
#389752
#389202
#376562
#376282
#376212
#375052
#374452
#362592
#362102
#361002
#349352
#347272
#346812