Finite Group Databasebeta

← #7968139

Subgroups — #7968139

Order 512.

5981 conjugacy classes of subgroups.

The subgroup lattice has 1972 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59822C211yesmaximal, characteristic, complemented
2#59304C211yesmaximal, characteristic, complemented
3#59228C211yesmaximal, characteristic, complemented
4#59204C212yesmaximal, complemented
5#59028C212yesmaximal, complemented
6#50154C214yesmaximal, complemented
7#48394C214yesmaximal, complemented
8#45720C212yesmaximal, complemented
9#45600C212yesmaximal, complemented
10#44912C212yesmaximal, complemented
11#44899C212yesmaximal, complemented
12#44064C214yesmaximal, complemented
13#42468C212yesmaximal, complemented
14#42462C212yesmaximal, complemented
15#40780C214yesmaximal, complemented
16#40116C212yesmaximal, complemented
17#39909C212yesmaximal, complemented
18#39733C212yesmaximal, complemented
19#39507C211yesmaximal, characteristic, complemented
20#39469C211yesmaximal, characteristic, complemented
21#39132C212yesmaximal, complemented
22#37650C212yesmaximal, complemented
23#36468C211yesmaximal, characteristic, complemented
24#36189C211yesmaximal, characteristic, complemented
25#36160C211yesmaximal, characteristic, complemented
26#36160C211yesmaximal, characteristic, complemented
27#36160C211yesmaximal, characteristic, complemented
28#36157C212yesmaximal, complemented
29#35207C211yesmaximal, characteristic, complemented
30#35165C211yesmaximal, characteristic, complemented
31#35076C212yesmaximal, complemented
32C2×#2537C211yesmaximal, characteristic, complemented
33#34681C211yesmaximal, characteristic, complemented
34#34362C212yesmaximal, complemented
35C4×D42C211yesmaximal, characteristic, complemented
36C2×#555C2211yescharacteristic, complemented
37C2×#555C2211yescharacteristic, complemented
38C2×#553C2212yescomplemented
39C2×#553C2212yescomplemented
40C2×D42C2211yescharacteristic
41C2×#535C2212yescomplemented
42C2×#532C2211yescharacteristic, complemented
43C2×#525C2212yes—
44C22×#121C2212yes—
45C22×#121C2212yescomplemented
46C22×C4×D4C2212yes—
47C22×C4×D4C2211yescharacteristic
48C22×C4×D4C2211yescharacteristic, complemented
49C22×C4×D4C2211yescharacteristic, complemented
50#2859C2211yescharacteristic, complemented
51#2857C2211yescharacteristic, complemented
52#2857C2211yescharacteristic, complemented
53#2854C2212yescomplemented
54#2854C2212yescomplemented
55#2851C2212yescomplemented
56#2847C2212yes—
57#2847C2212yescomplemented
58#2847C2212yescomplemented
59#2847C2212yescomplemented
60#2847C2212yescomplemented
61#2829C2214yescomplemented
62#2825C2214yescomplemented
63#2808C2214yescomplemented
64#2803C2214yescomplemented
65#2803C2214yescomplemented
66#2803C2214yescomplemented
67#2797C2214yescomplemented
68#2786C2214yescomplemented
69#2786C2214yescomplemented
70#2778C2214yescomplemented
71#2756C2214yescomplemented
72#2756C2214yescomplemented
73#2756C2214yescomplemented
74#2752C2214yescomplemented
75#2750C2214yescomplemented
76#2745C2214yescomplemented
77#2740C2214yescomplemented
78#2733C2214yescomplemented
79#2718C2214yescomplemented
80#2714C2214yescomplemented
81#2714C2214yescomplemented
82#2712C2214yescomplemented
83#2710C2214yescomplemented
84#2709C2214yescomplemented
85#2701C2214yescomplemented
86#2688C2214yescomplemented
87#2685C2214yescomplemented
88#2678C2214yescomplemented
89#2678C2214yescomplemented
90#2676C2214yescomplemented
91#2676C2214yescomplemented
92#2673C2214yescomplemented
93#2673C2214yescomplemented
94#2673C2214yescomplemented
95#2669C2214yescomplemented
96#2661C2214yescomplemented
97#2653C2214yescomplemented
98#2648C2214yescomplemented
99#2635C2214yescomplemented
100#2635C2214yescomplemented
101#2619C2212yescomplemented
102#2617C2214yescomplemented
103#2617C2214yescomplemented
104#2615C2212yescomplemented
105#2602C2214yescomplemented
106#2597C2214yescomplemented
107#2593C2214yescomplemented
108#2591C2214yescomplemented
109#2577C2214yescomplemented
110#2570C2212yescomplemented
111#2563C2211yescharacteristic, complemented
112#2563C2211yescharacteristic, complemented
113#2562C2212yescomplemented
114#2562C2212yescomplemented
115#2559C2214yescomplemented
116#2559C2214yescomplemented
117#2552C2211yescharacteristic, complemented
118#2548C2214yescomplemented
119#2547C2212yescomplemented
120#2544C2214yescomplemented
121#2541C2212yescomplemented
122#2541C2212yescomplemented
123#2541C2212yescomplemented
124#2539C2214yescomplemented
125#2537C2211yescharacteristic
126#2537C2211yescharacteristic
127#2537C2212yes—
128#2537C2214yescomplemented
129#2537C2212yescomplemented
130#2537C2211yescharacteristic, complemented
131#2537C2211yescharacteristic, complemented
132#2537C2211yescharacteristic, complemented
133#2537C2211yescharacteristic, complemented
134#2537C2211yescharacteristic, complemented
135#2537C2212yescomplemented
136#2537C2212yescomplemented
137#2535C2212yescomplemented
138#2535C2212yescomplemented
139#2535C2212yescomplemented
140#2535C2212yescomplemented
141#2521C2214yescomplemented
142#2511C2212yescomplemented
143#2510C2214yescomplemented
144#2507C2212yescomplemented
145#2501C2212yescomplemented
146#2500C2212yescomplemented
147#2497C2212yescomplemented
148#2496C2212yescomplemented
149#2496C2212yescomplemented
150#2495C2212yescomplemented
151#2494C2212yescomplemented
152#2494C2212yescomplemented
153#2490C2212yescomplemented
154#2490C2212yescomplemented
155#2490C2212yescomplemented
156#2490C2212yescomplemented
157#2487C2212yes—
158#2487C2212yescomplemented
159#2485C2212yescomplemented
160#2485C2212yescomplemented
161#2485C2212yescomplemented
162#2485C2212yescomplemented
163#2485C2212yescomplemented
164#2485C2212yescomplemented
165#2481C2214yescomplemented
166#2480C2214yescomplemented
167#2472C2214yes—
168#2472C2214yescomplemented
169#2472C2212yescomplemented
170#2472C2214yescomplemented
171#2472C2214yescomplemented
172#2467C2214yescomplemented
173#2464C2212yescomplemented
174#2464C2214yescomplemented
175#2461C2212yescomplemented
176#2459C2214yescomplemented
177#2459C2214yescomplemented
178#2459C2214yescomplemented
179#2458C2214yescomplemented
180#2457C2214yescomplemented
181#2452C2211yescharacteristic, complemented
182#2445C2214yescomplemented
183#2445C2211yescharacteristic, complemented
184#2444C2214yescomplemented
185#2443C2214yescomplemented
186#2442C2212yescomplemented
187#2441C2212yescomplemented
188#2441C2212yescomplemented
189#2440C2211yescharacteristic, complemented
190#2439C2212yescomplemented
191#2433C2214yes—
192#2433C2211yescharacteristic, complemented
193#2428C2211yescharacteristic, complemented
194#2428C2212yescomplemented
195#2428C2212yescomplemented
196#2424C2212yes—
197#2423C2212yescomplemented
198#2422C2212yescomplemented
199#2422C2212yescomplemented
200#2422C2211yescharacteristic, complemented
201#2420C2212yescomplemented
202#2420C2212yescomplemented
203#2420C2212yescomplemented
204#2418C2214yescomplemented
205#2417C2212yes—
206#2416C2212yes—
207#2416C2211yescharacteristic
208#2416C2212yescomplemented
209#2414C2212yescomplemented
210#2414C2212yescomplemented
211#2414C2212yescomplemented
212#2414C2212yescomplemented
213#2414C2212yescomplemented
214#2414C2212yescomplemented
215#2414C2212yescomplemented
216#2414C2212yescomplemented
217#2414C2212yescomplemented
218#2414C2212yescomplemented
219#2414C2212yescomplemented
220#2414C2212yescomplemented
221#2410C2214yes—
222#2408C2211yescharacteristic
223#2408C2212yes—
224#2408C2212yescomplemented
225#2408C2212yescomplemented
226#2408C2214yescomplemented
227#2405C2214yescomplemented
228#2403C2214yes—
229#2392C2212yescomplemented
230#2388C2212yescomplemented
231C2×#394C2214yescomplemented
232#2378C2214yescomplemented
233#2377C2214yescomplemented
234#2368C2214yescomplemented
235#2366C2211yescharacteristic, complemented
236#2364C2214yes—
237#2363C2212yescomplemented
238#2363C2212yescomplemented
239#2363C2212yescomplemented
240#2361C2211yescharacteristic
241#2361C2211yescharacteristic, complemented
242#2361C2212yescomplemented
243#2360C2212yescomplemented
244#2358C2212yes—
245#2358C2212yescomplemented
246#2358C2214yescomplemented
247#2354C2212yescomplemented
248#2354C2212yescomplemented
249#2354C2211yescharacteristic, complemented
250#2354C2211yescharacteristic, complemented
251#2354C2211yescharacteristic, complemented
252#2354C2212yescomplemented
253#2352C2212yes—
254#2352C2212yescomplemented
255#2352C2212yescomplemented
256#2352C2212yescomplemented
257#2352C2212yescomplemented
258D4×C4⋊C4C2211yescharacteristic
259D4×C4⋊C4C2211yescharacteristic, complemented
260D4×C4⋊C4C2212yescomplemented
261D4×C4⋊C4C2211yescharacteristic, complemented
262#2347C2212yescomplemented
263#2345C2212yescomplemented
264D4×C22⋊C4C2212yes—
265D4×C22⋊C4C2211yescharacteristic
266D4×C22⋊C4C2211yescharacteristic, complemented
267#2335C2214yescomplemented
268#2335C2214yescomplemented
269#2324C2212yescomplemented
270#2321C2214yes—
271#2321C2214yescomplemented
272#2321C2214yescomplemented
273#2314C2212yescomplemented
274#2314C2212yescomplemented
275#2311C2212yescomplemented
276#2311C2212yescomplemented
277C4×C4⋊Q8C2211yescharacteristic, complemented
278C4×#127C2211yescharacteristic, complemented
279C4×#127C2211yescharacteristic, complemented
280C4×#121C2211yescharacteristic
281C4×#121C2211yescharacteristic, complemented
282C4×#121C2212yescomplemented
283C4×#121C2211yescharacteristic, complemented
284C4×#121C2211yescharacteristic, complemented
285C4×#121C2212yescomplemented
286C4×#120C2212yes—
287C4×#120C2212yescomplemented
288C4×#120C2212yescomplemented
289#2293C2211yescharacteristic, complemented
290#2285C2211yescharacteristic, complemented
291C2×#384C2211yescharacteristic, complemented
292#2280C2212yescomplemented
293#2280C2212yescomplemented
294#2280C2212yescomplemented
295C2×#380C2212yescomplemented
296C2×#380C2212yescomplemented
297C42×D4C2211yescharacteristic
298C42×D4C2211yescharacteristic, complemented
299C22×#41C2312yes—
300C23×D4C2311yescharacteristic
301C23×D4C2311yescharacteristic
302C23×D4C2312yes—
303C23×D4C2311yescharacteristic
304C23×D4C2314yes—
305C24×C4C2312yes—
306C24×C4C2312yes—
307C24×C4C2312yes—
308#555—44no—
309#555—44no—
310#553—48no—
311#553—48no—
312D42—28no—
313#535—48no—
314#532—44no—
315C2×C4⋊Q8C2311yescharacteristic
316C2×C4⋊Q8C2311yescharacteristic
317C2×#127C2311yescharacteristic
318C2×#127C2311yescharacteristic
319C2×#127C2314yes—
320C2×#127C2311yescharacteristic
321C2×#127C2314yes—
322C2×#126C2314yes—
323C2×#126C2314yes—
324C2×#125C2312yes—
325C2×#125C2312yes—
326C2×#124C2312yes—
327C2×#124C2314yes—
328C2×#124C2314yes—
329C2×#124C2314yes—
330#525—216no—
331C2×#123C2312yes—
332C2×#123C2312yes—
333C2×#123C2314yes—
334C2×#123C2314yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×#121—48no—
342C2×#121—48no—
343C2×#121C2312yes—
344C2×#121C2311yescharacteristic
345C2×#121C2311yescharacteristic
346C2×#121C2311yescharacteristic
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2314yes—
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2311yescharacteristic
356C2×#121C2311yescharacteristic
357C2×#121C2312yes—
358C2×#121C2311yescharacteristic
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2312yes—
368C2×#121C2314yes—
369C2×#121C2314yes—
370C2×#121C2314yes—
371C2×#121C2314yes—
372C2×#121C2312yes—
373C2×#121C2314yes—
374C2×#121C2312yes—
375C2×#121C2312yes—
376C2×#121C2312yes—
377C2×#121C2314yes—
378C2×#120C2312yes—
379C2×#120C2312yes—
380C2×#120C2312yes—
381C2×#120C2312yes—
382C2×#120C2314yes—
383C2×#120C2314yes—
384C2×#120C2314yes—
385C2×#120C2314yes—
386C2×#120C2312yes—
387C2×#120C2314yes—
388C2×C4×Q8C2312yes—
389C2×C4×D4—44no—
390C2×C4×D4—44no—
391C2×C4×D4—44no—
392C2×C4×D4—48no—
393C2×C4×D4C2311yescharacteristic
394C2×C4×D4C2312yes—
395C2×C4×D4C2311yescharacteristic
396C2×C4×D4C2311yescharacteristic
397C2×C4×D4C2311yescharacteristic
398C2×C4×D4C2311yescharacteristic
399C2×C4×D4C2311yescharacteristic
400C2×C4×D4C2311yescharacteristic
401C2×C4×D4C2311yescharacteristic
402C2×C4×D4C2312yes—
403C2×C4×D4C2312yes—
404C2×C4×D4C2312yes—
405C2×C4×D4C2311yescharacteristic
406C2×C4×D4C2312yes—
407C2×C4×D4C2312yes—
408C2×C4×D4C2312yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2314yes—
413C2×C4×D4C2311yescharacteristic
414C2×C4×D4C2311yescharacteristic
415C2×C4×D4C2311yescharacteristic
416C2×C4×D4C2314yes—
417C2×C4×D4C2312yes—
418C2×C4×D4C2312yes—
419C2×C4×D4C2312yes—
420C2×C4×D4C2312yes—
421C2×C4×D4C2311yescharacteristic
422C2×C4×D4C2312yes—
423C2×C4×D4C2311yescharacteristic
424C2×C4×D4C2311yescharacteristic
425C2×C4×D4C2312yes—
426C2×C4×D4C2312yes—
427C2×C4×D4C2312yes—
428C2×C4×D4C2312yes—
429C2×C4×D4C2311yescharacteristic
430C2×C4×D4C2312yes—
431C2×C4×D4C2311yescharacteristic
432C2×#117C2312yes—
433C2×#117C2312yes—
434C2×#117C2312yes—
435C2×#117C2312yes—
436C2×#117C2312yes—
437C2×#117C2312yes—
438C2×#117C2312yes—
439C2×#117C2312yes—
440C2×#117C2312yes—
441C22×C4⋊C4C2312yes—
442C22×C4⋊C4C2311yescharacteristic
443C22×C4⋊C4C2312yes—
444C22×C4⋊C4C2312yes—
445C22×C4⋊C4C2311yescharacteristic
446C22×C4⋊C4C2312yes—
447C22×C4⋊C4C2311yescharacteristic
448C22×C4⋊C4C2312yes—
449C22×C22⋊C4C2314yes—
450C22×C22⋊C4C2312yes—
451C22×C22⋊C4C2312yes—
452C22×C22⋊C4C2312yes—
453C22×C22⋊C4C2312yes—
454C22×C22⋊C4C2314yes—
455C22×C22⋊C4C2312yes—
456C22×C42C2311yescharacteristic
457C22×C42C2311yescharacteristic
458C22×C42C2312yes—
459#401C2314yes—
460#400C2314yes—
461#400C2314yes—
462#400C2314yes—
463#400C2314yes—
464#400C2314yes—
465#399C2314yes—
466#399C2314yes—
467#399C2314yes—
468#398C2314yes—
469#398C2312yes—
470#398C2314yes—
471#398C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#397C2314yes—
477#397C2314yes—
478#397C2314yes—
479#397C2312yes—
480#397C2314yes—
481#397C2314yes—
482#397C2314yes—
483#397C2314yes—
484#397C2314yes—
485#397C2314yes—
486#396C2314yes—
487#396C2312yes—
488#396C2314yes—
489#396C2312yes—
490#396C2314yes—
491#395C2312yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2312yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2312yes—
520#394C2312yes—
521#394C2312yes—
522#394C2312yes—
523#394C2312yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#393C2314yes—
530#393C2314yes—
531#393C2314yes—
532#393C2312yes—
533#392C2312yes—
534#392C2314yes—
535#392C2314yes—
536#392C2314yes—
537#392C2314yes—
538#392C2314yes—
539#392C2314yes—
540#392C2314yes—
541#392C2314yes—
542#392C2314yes—
543#392C2314yes—
544#392C2314yes—
545#392C2314yes—
546#392C2312yes—
547#392C2314yes—
548#392C2312yes—
549#392C2312yes—
550#392C2314yes—
551#392C2314yes—
552#392C2314yes—
553#391C2312yes—
554#391C2314yes—
555#391C2314yes—
556#391C2312yes—
557#391C2312yes—
558#390C2311yescharacteristic
559#390C2312yes—
560#390C2311yescharacteristic
561#390C2311yescharacteristic
562#390C2312yes—
563#390C2312yes—
564#390C2311yescharacteristic
565#390C2312yes—
566#390C2312yes—
567#390C2312yes—
568#390C2314yes—
569#390C2314yes—
570#390C2312yes—
571#390C2314yes—
572#390C2314yes—
573#390C2314yes—
574#390C2314yes—
575#390C2314yes—
576#390C2314yes—
577#390C2311yescharacteristic
578#390C2311yescharacteristic
579#390C2311yescharacteristic
580#390C2312yes—
581#390C2312yes—
582#390C2312yes—
583#390C2314yes—
584#390C2314yes—
585#390C2314yes—
586#390C2314yes—
587#390C2314yes—
588#390C2314yes—
589#390C2311yescharacteristic
590#390C2311yescharacteristic
591#390C2311yescharacteristic
592#389C2312yes—
593#389C2312yes—
594#389C2312yes—
595#389C2312yes—
596#389C2312yes—
597#389C2312yes—
598#389C2314yes—
599#389C2311yescharacteristic
600#389C2312yes—
601#389C2312yes—
602#389C2312yes—
603#389C2312yes—
604#389C2312yes—
605#389C2312yes—
606#389C2312yes—
607#389C2311yescharacteristic
608#389C2312yes—
609#389C2311yescharacteristic
610#389C2311yescharacteristic
611#389C2314yes—
612#389C2311yescharacteristic
613#389C2311yescharacteristic
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2312yes—
635#388C2312yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2312yes—
647#388C2312yes—
648#388C2312yes—
649#388C2314yes—
650#388C2312yes—
651#388C2314yes—
652#388C2312yes—
653#388C2312yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2312yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2312yes—
693#386C2312yes—
694#386C2312yes—
695#386C2312yes—
696#386C2312yes—
697#386C2312yes—
698#386C2312yes—
699#386C2312yes—
700#386C2312yes—
701#386C2312yes—
702#386C2314yes—
703#386C2314yes—
704#386C2312yes—
705#386C2312yes—
706#386C2312yes—
707#386C2312yes—
708#385C2314yes—
709#385C2312yes—
710#385C2314yes—
711#385C2312yes—
712#385C2314yes—
713#385C2312yes—
714#385C2314yes—
715#385C2314yes—
716#385C2312yes—
717#385C2314yes—
718#385C2312yes—
719#385C2312yes—
720#385C2312yes—
721#385C2312yes—
722#385C2312yes—
723#384C2311yescharacteristic
724#384C2311yescharacteristic
725#384C2311yescharacteristic
726#384C2312yes—
727#384C2312yes—
728#384C2311yescharacteristic
729#384C2311yescharacteristic
730#384C2312yes—
731#384C2312yes—
732#383C2314yes—
733#382C2312yes—
734#382C2312yes—
735#382C2312yes—
736#382C2312yes—
737#381C2314yes—
738#381C2314yes—
739#381C2314yes—
740#380C2311yescharacteristic
741#380C2312yes—
742#380C2312yes—
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2312yes—
748#380C2312yes—
749#380C2312yes—
750#380C2312yes—
751#380C2312yes—
752#380C2311yescharacteristic
753#380C2312yes—
754#380C2312yes—
755#380C2312yes—
756#380C2312yes—
757#380C2312yes—
758#380C2314yes—
759#380C2314yes—
760#380C2312yes—
761#380C2312yes—
762#380C2312yes—
763#380C2312yes—
764#380C2312yes—
765#380C2312yes—
766#380C2312yes—
767#380C2312yes—
768#380C2311yescharacteristic
769#380C2312yes—
770#380C2314yes—
771#380C2312yes—
772#380C2312yes—
773#380C2314yes—
774#380C2311yescharacteristic
775#380C2312yes—
776#380C2314yes—
777#380C2312yes—
778#379C2314yes—
779#379C2312yes—
780#379C2312yes—
781#379C2312yes—
782#379C2314yes—
783#379C2314yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2314yes—
795C4×C4⋊C4C2314yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2311yescharacteristic
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2314yes—
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2314yes—
814C4×C22⋊C4C2311yescharacteristic
815C4×C22⋊C4C2311yescharacteristic
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2312yes—
820C4×C22⋊C4C2311yescharacteristic
821C4×C22⋊C4C2312yes—
822C2×#95C2314yes—
823C43C2311yescharacteristic
824C25C2412yes—
825C25C2412yes—
826C25C2412yes—
827C2×#41—28no—
828C2×#41—44no—
829C2×#41—44no—
830C22×Q8C2412yes—
831C22×Q8C2412yes—
832C22×D4—28no—
833C22×D4—24no—
834C22×D4—24no—
835C22×D4—24no—
836C22×D4—24no—
837C22×D4—24no—
838C22×D4—42no—
839C22×D4—42no—
840C22×D4—42no—
841C22×D4—42no—
842C22×D4—48no—
843C22×D4—44no—
844C22×D4—44no—
845C22×D4—48no—
846C22×D4—84no—
847C22×D4C2412yes—
848C22×D4C2411yescharacteristic
849C22×D4C2412yes—
850C22×D4C2411yescharacteristic
851C22×D4C2411yescharacteristic
852C22×D4C2411yescharacteristic
853C22×D4C2411yescharacteristic
854C22×D4C2412yes—
855C22×D4C2412yes—
856C22×D4C2411yescharacteristic
857C22×D4C2411yescharacteristic
858C22×D4C2412yes—
859C22×D4C2412yes—
860C22×D4C2412yes—
861C22×D4C2412yes—
862C22×D4C2414yes—
863C22×D4C2412yes—
864C22×D4C2412yes—
865C22×D4C2412yes—
866C22×D4C2412yes—
867C22×D4C2414yes—
868C22×D4C2414yes—
869C22×D4C2412yes—
870C22×D4C2412yes—
871C22×D4C2412yes—
872C22×D4C2414yes—
873C22×D4C2414yes—
874C22×D4C2414yes—
875C22×D4C2414yes—
876C22×D4C2414yes—
877C22×D4C2414yes—
878C23×C4—28no—
879C23×C4—28no—
880C23×C4—44no—
881C23×C4—44no—
882C23×C4—44no—
883C23×C4—44no—
884C23×C4—44no—
885C23×C4—44no—
886C23×C4—44no—
887C23×C4C2412yes—
888C23×C4C2412yes—
889C23×C4C2412yes—
890C23×C4C2412yes—
891C23×C4C2412yes—
892C23×C4C2411yescharacteristic
893C23×C4C2412yes—
894C23×C4C2411yescharacteristic
895C23×C4C2411yescharacteristic
896C23×C4C2411yescharacteristic
897C23×C4C2411yescharacteristic
898C23×C4C2412yes—
899C23×C4C2412yes—
900C23×C4C2414yes—
901C23×C4C2412yes—
902C23×C4C2411yescharacteristic
903C23×C4C2412yes—
904C23×C4C2412yes—
905C23×C4C2412yes—
906C23×C4C2412yes—
907C23×C4C2412yes—
908C23×C4C2412yes—
909C23×C4C2412yes—
910C23×C4C2414yes—
911C23×C4C2412yes—
912C4⋊Q8—24no—
913C4⋊Q8—42no—
914#127—24no—
915#127—42no—
916#127—42no—
917#127—48no—
918#127—84no—
919#126—48no—
920#126—48no—
921#125—44no—
922#125—44no—
923#124—44no—
924#124—48no—
925#124—48no—
926#124—48no—
927#123—28no—
928#123—28no—
929#123—48no—
930#123—48no—
931#123—84no—
932#123—84no—
933C22⋊Q8—28no—
934C22⋊Q8—28no—
935C22⋊Q8—44no—
936C22⋊Q8—82no—
937#121—28no—
938#121—28no—
939#121—28no—
940#121—28no—
941#121—24no—
942#121—24no—
943#121—24no—
944#121—28no—
945#121—28no—
946#121—44no—
947#121—48no—
948#121—48no—
949#121—48no—
950#121—44no—
951#121—44no—
952#121—44no—
953#121—44no—
954#121—48no—
955#121—48no—
956#121—44no—
957#121—44no—
958#121—42no—
959#121—44no—
960#121—44no—
961#121—42no—
962#121—42no—
963#121—44no—
964#121—44no—
965#121—44no—
966#121—44no—
967#121—44no—
968#121—44no—
969#121—44no—
970#121—48no—
971#121—84no—
972#120—28no—
973#120—28no—
974#120—28no—
975#120—28no—
976#120—44no—
977#120—48no—
978#120—48no—
979#120—48no—
980#120—48no—
981#120—84no—
982C4×Q8—82no—
983C4×D4—24no—
984C4×D4—28no—
985C4×D4—28no—
986C4×D4—24no—
987C4×D4—28no—
988C4×D4—28no—
989C4×D4—24no—
990C4×D4—24no—
991C4×D4—24no—
992C4×D4—24no—
993C4×D4—24no—
994C4×D4—24no—
995C4×D4—24no—
996C4×D4—44no—
997C4×D4—44no—
998C4×D4—44no—
999C4×D4—42no—
1000C4×D4—42no—
1001C4×D4—42no—
1002C4×D4—42no—
1003C4×D4—42no—
1004C4×D4—42no—
1005C4×D4—44no—
1006C4×D4—44no—
1007C4×D4—44no—
1008C4×D4—44no—
1009C4×D4—44no—
1010C4×D4—44no—
1011C4×D4—44no—
1012C4×D4—44no—
1013C4×D4—44no—
1014C4×D4—44no—
1015C4×D4—44no—
1016C4×D4—44no—
1017C4×D4—44no—
1018C4×D4—42no—
1019C4×D4—48no—
1020C4×D4—48no—
1021C4×D4#4118yes—
1022#117—28no—
1023#117—44no—
1024#117—44no—
1025#117—44no—
1026#117—44no—
1027#117—44no—
1028#117—44no—
1029#117—44no—
1030#117—44no—
1031C2×C4⋊C4—28no—
1032C2×C4⋊C4—42no—
1033C2×C4⋊C4—42no—
1034C2×C4⋊C4—44no—
1035C2×C4⋊C4—42no—
1036C2×C4⋊C4—44no—
1037C2×C4⋊C4—44no—
1038C2×C4⋊C4—82no—
1039C2×C4⋊C4C2411yescharacteristic
1040C2×C4⋊C4C2411yescharacteristic
1041C2×C4⋊C4C2411yescharacteristic
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2411yescharacteristic
1044C2×C4⋊C4C2411yescharacteristic
1045C2×C4⋊C4C2411yescharacteristic
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2411yescharacteristic
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2414yes—
1052C2×C4⋊C4C2411yescharacteristic
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2411yescharacteristic
1057C2×C4⋊C4C2411yescharacteristic
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2411yescharacteristic
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2412yes—
1071C2×C4⋊C4C2414yes—
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2414yes—
1074C2×C4⋊C4C2414yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2414yes—
1077C2×C4⋊C4C2414yes—
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2411yescharacteristic
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2414yes—
1082C2×C4⋊C4C2414yes—
1083C2×C4⋊C4C2414yes—
1084C2×C4⋊C4C2414yes—
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2414yes—
1087C2×C4⋊C4C2414yes—
1088C2×C4⋊C4C2411yescharacteristic
1089C2×C22⋊C4—44no—
1090C2×C22⋊C4—44no—
1091C2×C22⋊C4—44no—
1092C2×C22⋊C4—44no—
1093C2×C22⋊C4—44no—
1094C2×C22⋊C4—48no—
1095C2×C22⋊C4—48no—
1096C2×C22⋊C4C2411yescharacteristic
1097C2×C22⋊C4C2411yescharacteristic
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2411yescharacteristic
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2414yes—
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2411yescharacteristic
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2414yes—
1158C2×C22⋊C4C2414yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2414yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2414yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2414yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2414yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2411yescharacteristic
1177C2×C22⋊C4C2411yescharacteristic
1178C2×C42—24no—
1179C2×C42—24no—
1180C2×C42—44no—
1181C2×C42C2412yes—
1182C2×C42C2411yescharacteristic
1183C2×C42C2411yescharacteristic
1184C2×C42C2411yescharacteristic
1185C2×C42C2411yescharacteristic
1186C2×C42C2411yescharacteristic
1187C2×C42C2412yes—
1188C2×C42C2411yescharacteristic
1189C2×C42C2411yescharacteristic
1190C2×C42C2411yescharacteristic
1191C2×C42C2411yescharacteristic
1192C2×C42C2414yes—
1193C2×C42C2414yes—
1194C2×C42C2414yes—
1195C2×C42C2414yes—
1196C2×C42C2414yes—
1197C2×C42C2414yes—
1198C2×C42C2412yes—
1199C2×C42C2412yes—
1200C2×C42C2411yescharacteristic
1201C2×C42C2411yescharacteristic
1202C2×C42C2414yes—
1203C2×C42C2411yescharacteristic
1204C2×C42C2411yescharacteristic
1205#95C2414yes—
1206#95C2414yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2411yescharacteristic
1213#95C2412yes—
1214#95C2411yescharacteristic
1215#95C2411yescharacteristic
1216#95C2411yescharacteristic
1217#95C2411yescharacteristic
1218#95C2412yes—
1219#95C2412yes—
1220#95C2411yescharacteristic
1221#95C2412yes—
1222#95C2414yes—
1223#95C2414yes—
1224#95C2414yes—
1225#95C2414yes—
1226#95C2414yes—
1227#95C2414yes—
1228#95C2414yes—
1229#95C2414yes—
1230#95C2412yes—
1231#95C2412yes—
1232#95C2414yes—
1233#95C2414yes—
1234#95C2414yes—
1235#95C2412yes—
1236#95C2412yes—
1237#95C2412yes—
1238#95C2412yes—
1239#95C2414yes—
1240#95C2414yes—
1241#95C2414yes—
1242#95C2414yes—
1243#95C2414yes—
1244#95C2414yes—
1245#95C2414yes—
1246#95C2414yes—
1247#95C2412yes—
1248#95C2414yes—
1249#95C2414yes—
1250#95C2414yes—
1251C24—24no—
1252C24—24no—
1253C24—24no—
1254C24—24no—
1255C24—24no—
1256C24—24no—
1257C24—24no—
1258C24—24no—
1259C24—24no—
1260C24—42no—
1261C24—42no—
1262C24—42no—
1263C24—42no—
1264C24—42no—
1265C24—42no—
1266C24—42no—
1267C24—42no—
1268C24—42no—
1269C24—42no—
1270C24—42no—
1271C24—42no—
1272C24C2512yes—
1273C24C2512yes—
1274C24C2512yes—
1275C24C2512yes—
1276C24C2512yes—
1277C24C2511yescharacteristic
1278C24C2512yes—
1279C24C2511yescharacteristic
1280#41—816no—
1281C2×Q8—24no—
1282C2×Q8—24no—
1283C2×Q8—42no—
1284C2×Q8—42no—
1285C2×Q8—42no—
1286C2×Q8—42no—
1287C2×D4—22no—
1288C2×D4—22no—
1289C2×D4—24no—
1290C2×D4—24no—
1291C2×D4—24no—
1292C2×D4—24no—
1293C2×D4—24no—
1294C2×D4—24no—
1295C2×D4—24no—
1296C2×D4—24no—
1297C2×D4—24no—
1298C2×D4—24no—
1299C2×D4—24no—
1300C2×D4—24no—
1301C2×D4—28no—
1302C2×D4—28no—
1303C2×D4—28no—
1304C2×D4—22no—
1305C2×D4—24no—
1306C2×D4—24no—
1307C2×D4—24no—
1308C2×D4—22no—
1309C2×D4—22no—
1310C2×D4—24no—
1311C2×D4—24no—
1312C2×D4—24no—
1313C2×D4—22no—
1314C2×D4—22no—
1315C2×D4—22no—
1316C2×D4—22no—
1317C2×D4—22no—
1318C2×D4—22no—
1319C2×D4—22no—
1320C2×D4—24no—
1321C2×D4—22no—
1322C2×D4—22no—
1323C2×D4—22no—
1324C2×D4—22no—
1325C2×D4—22no—
1326C2×D4—22no—
1327C2×D4—22no—
1328C2×D4—416no—
1329C2×D4—416no—
1330C2×D4—42no—
1331C2×D4—42no—
1332C2×D4—42no—
1333C2×D4—42no—
1334C2×D4—42no—
1335C2×D4—42no—
1336C2×D4—42no—
1337C2×D4—42no—
1338C2×D4—416no—
1339C2×D4—42no—
1340C2×D4—42no—
1341C2×D4—42no—
1342C2×D4—42no—
1343C2×D4—42no—
1344C2×D4—42no—
1345C2×D4—44no—
1346C2×D4—42no—
1347C2×D4—42no—
1348C2×D4—44no—
1349C2×D4—44no—
1350C2×D4—44no—
1351C2×D4—44no—
1352C2×D4—44no—
1353C2×D4—44no—
1354C2×D4—44no—
1355C2×D4—42no—
1356C2×D4—42no—
1357C2×D4—42no—
1358C2×D4—44no—
1359C2×D4—42no—
1360C2×D4—44no—
1361C2×D4—44no—
1362C2×D4—42no—
1363C2×D4—42no—
1364C2×D4—42no—
1365C2×D4—42no—
1366C2×D4—42no—
1367C2×D4—42no—
1368C2×D4—44no—
1369C2×D4—44no—
1370C2×D4—44no—
1371C2×D4—44no—
1372C2×D4—44no—
1373C2×D4—44no—
1374C2×D4—44no—
1375C2×D4—44no—
1376C2×D4—44no—
1377C2×D4—44no—
1378C2×D4—44no—
1379C2×D4—44no—
1380C2×D4—44no—
1381C2×D4—432no—
1382C2×D4—832no—
1383C2×D4C2×#4114yes—
1384C2×D4H(5,𝔽2)14yes—
1385C22×C4—22no—
1386C22×C4—22no—
1387C22×C4—22no—
1388C22×C4—22no—
1389C22×C4—22no—
1390C22×C4—22no—
1391C22×C4—22no—
1392C22×C4—24no—
1393C22×C4—24no—
1394C22×C4—28no—
1395C22×C4—24no—
1396C22×C4—24no—
1397C22×C4—24no—
1398C22×C4—24no—
1399C22×C4—24no—
1400C22×C4—22no—
1401C22×C4—22no—
1402C22×C4—24no—
1403C22×C4—24no—
1404C22×C4—24no—
1405C22×C4—24no—
1406C22×C4—24no—
1407C22×C4—24no—
1408C22×C4—24no—
1409C22×C4—24no—
1410C22×C4—22no—
1411C22×C4—24no—
1412C22×C4—24no—
1413C22×C4—24no—
1414C22×C4—24no—
1415C22×C4—24no—
1416C22×C4—24no—
1417C22×C4—22no—
1418C22×C4—24no—
1419C22×C4—24no—
1420C22×C4—24no—
1421C22×C4—22no—
1422C22×C4—24no—
1423C22×C4—24no—
1424C22×C4—42no—
1425C22×C4—41no—
1426C22×C4—42no—
1427C22×C4—42no—
1428C22×C4—42no—
1429C22×C4—42no—
1430C22×C4—42no—
1431C22×C4—42no—
1432C22×C4—42no—
1433C22×C4—44no—
1434C22×C4—44no—
1435C22×C4—42no—
1436C22×C4—42no—
1437C22×C4—42no—
1438C22×C4—42no—
1439C22×C4—42no—
1440C22×C4—42no—
1441C22×C4—42no—
1442C22×C4—42no—
1443C22×C4—41no—
1444C22×C4—42no—
1445C22×C4—42no—
1446C22×C4—41no—
1447C22×C4—42no—
1448C22×C4—42no—
1449C22×C4—42no—
1450C22×C4—42no—
1451C22×C4—42no—
1452C22×C4—42no—
1453C22×C4—42no—
1454C22×C4—44no—
1455C22×C4—44no—
1456C22×C4—44no—
1457C22×C4—816no—
1458C22×C4—816no—
1459C22×C4—816no—
1460C22×C4C2×#4114yes—
1461C22×C4C2×#4114yes—
1462C22×C4H(5,𝔽2)14yes—
1463C22×C4C2512yes—
1464C22×C4C2511yescharacteristic
1465C22×C4C2512yes—
1466C22×C4C2512yes—
1467C22×C4C2512yes—
1468C22×C4C2511yescharacteristic
1469C22×C4C2514yes—
1470C22×C4C2514yes—
1471C22×C4C2511yescharacteristic
1472C22×C4C2512yes—
1473C22×C4C2512yes—
1474C22×C4C2512yes—
1475C22×C4C2512yes—
1476C22×C4C2512yes—
1477C22×C4C2514yes—
1478C22×C4C2514yes—
1479C22×C4C2512yes—
1480C22×C4C2511yescharacteristic
1481C22×C4C2511yescharacteristic
1482C22×C4C2511yescharacteristic
1483C22×C4C2511yescharacteristic
1484C22×C4C2511yescharacteristic
1485C22×C4C2511yescharacteristic
1486C22×C4C2511yescharacteristic
1487C22×C4C2511yescharacteristic
1488C22×C4C2511yescharacteristic
1489C22×C4C2511yescharacteristic
1490C4⋊C4—24no—
1491C4⋊C4—24no—
1492C4⋊C4—22no—
1493C4⋊C4—24no—
1494C4⋊C4—24no—
1495C4⋊C4—24no—
1496C4⋊C4—24no—
1497C4⋊C4—24no—
1498C4⋊C4—28no—
1499C4⋊C4—22no—
1500C4⋊C4—22no—
1501C4⋊C4—22no—
1502C4⋊C4—24no—
1503C4⋊C4—22no—
1504C4⋊C4—22no—
1505C4⋊C4—22no—
1506C4⋊C4—24no—
1507C4⋊C4—22no—
1508C4⋊C4—24no—
1509C4⋊C4—22no—
1510C4⋊C4—24no—
1511C4⋊C4—22no—
1512C4⋊C4—24no—
1513C4⋊C4—24no—
1514C4⋊C4—22no—
1515C4⋊C4—24no—
1516C4⋊C4—42no—
1517C4⋊C4—42no—
1518C4⋊C4—42no—
1519C4⋊C4—42no—
1520C4⋊C4—42no—
1521C4⋊C4—44no—
1522C4⋊C4—44no—
1523C4⋊C4—42no—
1524C4⋊C4—42no—
1525C4⋊C4—44no—
1526C4⋊C4—42no—
1527C4⋊C4—41no—
1528C4⋊C4—42no—
1529C4⋊C4—44no—
1530C4⋊C4—44no—
1531C4⋊C4—42no—
1532C4⋊C4—44no—
1533C4⋊C4—44no—
1534C4⋊C4—44no—
1535C4⋊C4—44no—
1536C4⋊C4—42no—
1537C4⋊C4—44no—
1538C4⋊C4—44no—
1539C4⋊C4C2×#4114yes—
1540C22⋊C4—24no—
1541C22⋊C4—24no—
1542C22⋊C4—22no—
1543C22⋊C4—24no—
1544C22⋊C4—28no—
1545C22⋊C4—28no—
1546C22⋊C4—24no—
1547C22⋊C4—28no—
1548C22⋊C4—22no—
1549C22⋊C4—28no—
1550C22⋊C4—24no—
1551C22⋊C4—24no—
1552C22⋊C4—24no—
1553C22⋊C4—24no—
1554C22⋊C4—24no—
1555C22⋊C4—24no—
1556C22⋊C4—24no—
1557C22⋊C4—24no—
1558C22⋊C4—24no—
1559C22⋊C4—22no—
1560C22⋊C4—24no—
1561C22⋊C4—24no—
1562C22⋊C4—24no—
1563C22⋊C4—24no—
1564C22⋊C4—24no—
1565C22⋊C4—24no—
1566C22⋊C4—24no—
1567C22⋊C4—24no—
1568C22⋊C4—42no—
1569C22⋊C4—42no—
1570C22⋊C4—42no—
1571C22⋊C4—42no—
1572C22⋊C4—42no—
1573C22⋊C4—42no—
1574C22⋊C4—42no—
1575C22⋊C4—42no—
1576C22⋊C4—42no—
1577C22⋊C4—42no—
1578C22⋊C4—44no—
1579C22⋊C4—44no—
1580C22⋊C4—44no—
1581C22⋊C4—44no—
1582C22⋊C4—44no—
1583C22⋊C4—44no—
1584C22⋊C4—44no—
1585C22⋊C4—44no—
1586C22⋊C4—44no—
1587C22⋊C4—44no—
1588C22⋊C4—44no—
1589C22⋊C4—44no—
1590C22⋊C4—44no—
1591C22⋊C4—44no—
1592C22⋊C4—42no—
1593C22⋊C4—42no—
1594C22⋊C4—41no—
1595C22⋊C4—42no—
1596C22⋊C4—42no—
1597C22⋊C4—42no—
1598C22⋊C4—44no—
1599C22⋊C4—44no—
1600C22⋊C4—42no—
1601C22⋊C4—42no—
1602C22⋊C4—44no—
1603C22⋊C4—44no—
1604C22⋊C4—42no—
1605C22⋊C4—44no—
1606C22⋊C4—44no—
1607C22⋊C4—44no—
1608C22⋊C4—44no—
1609C22⋊C4—44no—
1610C22⋊C4—44no—
1611C22⋊C4—44no—
1612C22⋊C4—42no—
1613C22⋊C4—44no—
1614C22⋊C4—44no—
1615C22⋊C4—42no—
1616C22⋊C4—44no—
1617C22⋊C4—42no—
1618C22⋊C4—42no—
1619C22⋊C4—42no—
1620C22⋊C4C2×#4114yes—
1621C22⋊C4C2×#4114yes—
1622C42—24no—
1623C42—22no—
1624C42—22no—
1625C42—22no—
1626C42—22no—
1627C42—22no—
1628C42—22no—
1629C42—22no—
1630C42—24no—
1631C42—22no—
1632C42—22no—
1633C42—42no—
1634C42—42no—
1635C42—44no—
1636C42—44no—
1637C42—44no—
1638C42—44no—
1639C42—44no—
1640C42—44no—
1641C42—41no—
1642C42—41no—
1643C42—44no—
1644C42C2×#4114yes—
1645C42H(5,𝔽2)14yes—
1646C23—21no—
1647C23—21no—
1648C23—21no—
1649C23—21no—
1650C23—22no—
1651C23—21no—
1652C23—22no—
1653C23—21no—
1654C23—21no—
1655C23—22no—
1656C23—22no—
1657C23—21no—
1658C23—21no—
1659C23—22no—
1660C23—21no—
1661C23—22no—
1662C23—22no—
1663C23—22no—
1664C23—22no—
1665C23—22no—
1666C23—22no—
1667C23—22no—
1668C23—22no—
1669C23—22no—
1670C23—22no—
1671C23—22no—
1672C23—22no—
1673C23—22no—
1674C23—22no—
1675C23—22no—
1676C23—22no—
1677C23—22no—
1678C23—22no—
1679C23—22no—
1680C23—22no—
1681C23—22no—
1682C23—22no—
1683C23—22no—
1684C23—22no—
1685C23—22no—
1686C23—22no—
1687C23—22no—
1688C23—22no—
1689C23—22no—
1690C23—22no—
1691C23—22no—
1692C23—22no—
1693C23—22no—
1694C23—22no—
1695C23—22no—
1696C23—22no—
1697C23—48no—
1698C23—48no—
1699C23—48no—
1700C23—48no—
1701C23—48no—
1702C23—48no—
1703C23—48no—
1704C23—48no—
1705C23—48no—
1706C23—84no—
1707C23—84no—
1708C23—84no—
1709C23—84no—
1710C23—84no—
1711C23—84no—
1712C23—84no—
1713C23—84no—
1714C23—84no—
1715C23—84no—
1716C23—84no—
1717C23—84no—
1718C23C22×#4112yes—
1719C23C22×#4112yes—
1720C23C2×H(5,𝔽2)14yes—
1721C23C2×H(5,𝔽2)12yes—
1722C23#58512yes—
1723C23C2611yescharacteristic
1724Q8—84no—
1725Q8—84no—
1726D4—28no—
1727D4—28no—
1728D4—48no—
1729D4—48no—
1730D4—48no—
1731D4—48no—
1732D4—48no—
1733D4—48no—
1734D4—48no—
1735D4—44no—
1736D4—44no—
1737D4—44no—
1738D4—44no—
1739D4—44no—
1740D4—84no—
1741D4—84no—
1742D4—84no—
1743D4—84no—
1744D4—88no—
1745D4—88no—
1746D4—88no—
1747D4—84no—
1748D4—84no—
1749D4—84no—
1750D4—84no—
1751D4—88no—
1752D4—88no—
1753D4—164no—
1754D4—164no—
1755D4—164no—
1756D4—164no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—28no—
1770C2×C4—28no—
1771C2×C4—28no—
1772C2×C4—22no—
1773C2×C4—22no—
1774C2×C4—22no—
1775C2×C4—22no—
1776C2×C4—22no—
1777C2×C4—22no—
1778C2×C4—21no—
1779C2×C4—21no—
1780C2×C4—21no—
1781C2×C4—21no—
1782C2×C4—22no—
1783C2×C4—22no—
1784C2×C4—21no—
1785C2×C4—21no—
1786C2×C4—22no—
1787C2×C4—24no—
1788C2×C4—22no—
1789C2×C4—22no—
1790C2×C4—22no—
1791C2×C4—22no—
1792C2×C4—22no—
1793C2×C4—22no—
1794C2×C4—22no—
1795C2×C4—24no—
1796C2×C4—22no—
1797C2×C4—24no—
1798C2×C4—24no—
1799C2×C4—22no—
1800C2×C4—22no—
1801C2×C4—21no—
1802C2×C4—22no—
1803C2×C4—22no—
1804C2×C4—24no—
1805C2×C4—22no—
1806C2×C4—24no—
1807C2×C4—21no—
1808C2×C4—22no—
1809C2×C4—22no—
1810C2×C4—21no—
1811C2×C4—24no—
1812C2×C4—24no—
1813C2×C4—21no—
1814C2×C4—24no—
1815C2×C4—22no—
1816C2×C4—22no—
1817C2×C4—22no—
1818C2×C4—21no—
1819C2×C4—22no—
1820C2×C4—21no—
1821C2×C4—24no—
1822C2×C4—21no—
1823C2×C4—24no—
1824C2×C4—22no—
1825C2×C4—21no—
1826C2×C4—22no—
1827C2×C4—21no—
1828C2×C4—24no—
1829C2×C4—44no—
1830C2×C4—48no—
1831C2×C4—48no—
1832C2×C4—48no—
1833C2×C4—48no—
1834C2×C4—48no—
1835C2×C4—48no—
1836C2×C4—44no—
1837C2×C4—48no—
1838C2×C4—82no—
1839C2×C4—84no—
1840C2×C4—84no—
1841C2×C4—84no—
1842C2×C4—84no—
1843C2×C4—84no—
1844C2×C4—84no—
1845C2×C4—84no—
1846C2×C4—88no—
1847C2×C4—84no—
1848C2×C4—84no—
1849C2×C4—84no—
1850C2×C4—164no—
1851C2×C4C22×#4112yes—
1852C2×C4C22×#4112yes—
1853C2×C4C22×#4112yes—
1854C2×C4C22×#4112yes—
1855C2×C4C22×#4112yes—
1856C2×C4C2×H(5,𝔽2)12yes—
1857C2×C4C2×H(5,𝔽2)12yes—
1858C2×C4C2×H(5,𝔽2)12yes—
1859C2×C4C2×H(5,𝔽2)12yes—
1860C2×C4C2×H(5,𝔽2)12yes—
1861C2×C4C2×H(5,𝔽2)12yes—
1862C2×C4#58512yes—
1863C22—22no—
1864C22—22no—
1865C22—22no—
1866C22—22no—
1867C22—22no—
1868C22—22no—
1869C22—22no—
1870C22—24no—
1871C22—22no—
1872C22—22no—
1873C22—24no—
1874C22—24no—
1875C22—42no—
1876C22—41no—
1877C22—42no—
1878C22—41no—
1879C22—41no—
1880C22—42no—
1881C22—42no—
1882C22—41no—
1883C22—42no—
1884C22—42no—
1885C22—42no—
1886C22—42no—
1887C22—42no—
1888C22—42no—
1889C22—42no—
1890C22—42no—
1891C22—42no—
1892C22—42no—
1893C22—42no—
1894C22—42no—
1895C22—42no—
1896C22—42no—
1897C22—42no—
1898C22—42no—
1899C22—42no—
1900C22—42no—
1901C22—42no—
1902C22—42no—
1903C22—42no—
1904C22—42no—
1905C22—42no—
1906C22—42no—
1907C22—42no—
1908C22—42no—
1909C22—42no—
1910C22—42no—
1911C22—42no—
1912C22—42no—
1913C22—42no—
1914C22—42no—
1915C22—42no—
1916C22—42no—
1917C22—42no—
1918C22—816no—
1919C22—816no—
1920C22—816no—
1921C22#350614yes—
1922C22C23×#4111yescharacteristic
1923C22C22×H(5,𝔽2)11yescharacteristic
1924C22C22×H(5,𝔽2)11yescharacteristic
1925C22C22×H(5,𝔽2)11yescharacteristic
1926C22C2×#58511yescharacteristic
1927C22C2×#58511yescharacteristic
1928C22H(7,𝔽2)11yescharacteristic
1929C4—22no—
1930C4—22no—
1931C4—22no—
1932C4—22no—
1933C4—22no—
1934C4—22no—
1935C4—42no—
1936C4—41no—
1937C4—44no—
1938C4—42no—
1939C4—42no—
1940C4—42no—
1941C4—42no—
1942C4—42no—
1943C4—41no—
1944C4—42no—
1945C4—44no—
1946C4—44no—
1947C4—41no—
1948C4—41no—
1949C4—44no—
1950C4—42no—
1951C4—42no—
1952C4—41no—
1953C4—42no—
1954C4#351914yes—
1955C4#354214yes—
1956C2—24no—
1957C2—42no—
1958C2—44no—
1959C2—82no—
1960C2—82no—
1961C2—82no—
1962C2—82no—
1963C2—82no—
1964C2C2×#354211yescharacteristic
1965C2C2×#350611yescharacteristic
1966C2C2×#351911yescharacteristic
1967C2#6291211yescharacteristic
1968C2#6295711yescharacteristic
1969C2#6299411yescharacteristic
1970C2#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. #59822C2semidirect
2. #59304C2semidirect
3. #59228C2semidirect
4. #59204C2semidirect
5. #59028C2semidirect
6. #50154C2semidirect
7. #48394C2semidirect
8. #45720C2semidirect
9. #45600C2semidirect
10. #44912C2semidirect
11. #44899C2semidirect
12. #44064C2semidirect
13. #42468C2semidirect
14. #42462C2semidirect
15. #40780C2semidirect
16. #40116C2semidirect
17. #39909C2semidirect
18. #39733C2semidirect
19. #39507C2semidirect
20. #39469C2semidirect
21. #39132C2semidirect
22. #37650C2semidirect
23. #36468C2semidirect
24. #36189C2semidirect
25. #36160C2semidirect
26. #36160C2semidirect
27. #36160C2semidirect
28. #36157C2semidirect
29. #35207C2semidirect
30. #35165C2semidirect
31. #35076C2semidirect
32. C2×#2537C2semidirect
33. #34681C2semidirect
34. #34362C2semidirect
35. C4×D42C2semidirect
36. C2×#555C22semidirect
37. C2×#555C22semidirect
38. C2×#553C22semidirect
39. C2×#553C22semidirect
41. C2×#535C22semidirect
42. C2×#532C22semidirect
45. C22×#121C22semidirect
48. C22×C4×D4C22semidirect
49. C22×C4×D4C22semidirect
50. #2859C22semidirect
51. #2857C22semidirect
52. #2857C22semidirect
53. #2854C22semidirect
54. #2854C22semidirect
55. #2851C22semidirect
57. #2847C22semidirect
58. #2847C22semidirect
59. #2847C22semidirect
60. #2847C22semidirect
61. #2829C22semidirect
62. #2825C22semidirect
63. #2808C22semidirect
64. #2803C22semidirect
65. #2803C22semidirect
66. #2803C22semidirect
67. #2797C22semidirect
68. #2786C22semidirect
69. #2786C22semidirect
70. #2778C22semidirect
71. #2756C22semidirect
72. #2756C22semidirect
73. #2756C22semidirect
74. #2752C22semidirect
75. #2750C22semidirect
76. #2745C22semidirect
77. #2740C22semidirect
78. #2733C22semidirect
79. #2718C22semidirect
80. #2714C22semidirect
81. #2714C22semidirect
82. #2712C22semidirect
83. #2710C22semidirect
84. #2709C22semidirect
85. #2701C22semidirect
86. #2688C22semidirect
87. #2685C22semidirect
88. #2678C22semidirect
89. #2678C22semidirect
90. #2676C22semidirect
91. #2676C22semidirect
92. #2673C22semidirect
93. #2673C22semidirect
94. #2673C22semidirect
95. #2669C22semidirect
96. #2661C22semidirect
97. #2653C22semidirect
98. #2648C22semidirect
99. #2635C22semidirect
100. #2635C22semidirect
101. #2619C22semidirect
102. #2617C22semidirect
103. #2617C22semidirect
104. #2615C22semidirect
105. #2602C22semidirect
106. #2597C22semidirect
107. #2593C22semidirect
108. #2591C22semidirect
109. #2577C22semidirect
110. #2570C22semidirect
111. #2563C22semidirect
112. #2563C22semidirect
113. #2562C22semidirect
114. #2562C22semidirect
115. #2559C22semidirect
116. #2559C22semidirect
117. #2552C22semidirect
118. #2548C22semidirect
119. #2547C22semidirect
120. #2544C22semidirect
121. #2541C22semidirect
122. #2541C22semidirect
123. #2541C22semidirect
124. #2539C22semidirect
128. #2537C22semidirect
129. #2537C22semidirect
130. #2537C22semidirect
131. #2537C22semidirect
132. #2537C22semidirect
133. #2537C22semidirect
134. #2537C22semidirect
135. #2537C22semidirect
136. #2537C22semidirect
137. #2535C22semidirect
138. #2535C22semidirect
139. #2535C22semidirect
140. #2535C22semidirect
141. #2521C22semidirect
142. #2511C22semidirect
143. #2510C22semidirect
144. #2507C22semidirect
145. #2501C22semidirect
146. #2500C22semidirect
147. #2497C22semidirect
148. #2496C22semidirect
149. #2496C22semidirect
150. #2495C22semidirect
151. #2494C22semidirect
152. #2494C22semidirect
153. #2490C22semidirect
154. #2490C22semidirect
155. #2490C22semidirect
156. #2490C22semidirect
158. #2487C22semidirect
159. #2485C22semidirect
160. #2485C22semidirect
161. #2485C22semidirect
162. #2485C22semidirect
163. #2485C22semidirect
164. #2485C22semidirect
165. #2481C22semidirect
166. #2480C22semidirect
168. #2472C22semidirect
169. #2472C22semidirect
170. #2472C22semidirect
171. #2472C22semidirect
172. #2467C22semidirect
173. #2464C22semidirect
174. #2464C22semidirect
175. #2461C22semidirect
176. #2459C22semidirect
177. #2459C22semidirect
178. #2459C22semidirect
179. #2458C22semidirect
180. #2457C22semidirect
181. #2452C22semidirect
182. #2445C22semidirect
183. #2445C22semidirect
184. #2444C22semidirect
185. #2443C22semidirect
186. #2442C22semidirect
187. #2441C22semidirect
188. #2441C22semidirect
189. #2440C22semidirect
190. #2439C22semidirect
192. #2433C22semidirect
193. #2428C22semidirect
194. #2428C22semidirect
195. #2428C22semidirect
197. #2423C22semidirect
198. #2422C22semidirect
199. #2422C22semidirect
200. #2422C22semidirect
201. #2420C22semidirect
202. #2420C22semidirect
203. #2420C22semidirect
204. #2418C22semidirect
208. #2416C22semidirect
209. #2414C22semidirect
210. #2414C22semidirect
211. #2414C22semidirect
212. #2414C22semidirect
213. #2414C22semidirect
214. #2414C22semidirect
215. #2414C22semidirect
216. #2414C22semidirect
217. #2414C22semidirect
218. #2414C22semidirect
219. #2414C22semidirect
220. #2414C22semidirect
224. #2408C22semidirect
225. #2408C22semidirect
226. #2408C22semidirect
227. #2405C22semidirect
229. #2392C22semidirect
230. #2388C22semidirect
231. C2×#394C22semidirect
232. #2378C22semidirect
233. #2377C22semidirect
234. #2368C22semidirect
235. #2366C22semidirect
237. #2363C22semidirect
238. #2363C22semidirect
239. #2363C22semidirect
241. #2361C22semidirect
242. #2361C22semidirect
243. #2360C22semidirect
245. #2358C22semidirect
246. #2358C22semidirect
247. #2354C22semidirect
248. #2354C22semidirect
249. #2354C22semidirect
250. #2354C22semidirect
251. #2354C22semidirect
252. #2354C22semidirect
254. #2352C22semidirect
255. #2352C22semidirect
256. #2352C22semidirect
257. #2352C22semidirect
259. D4×C4⋊C4C22semidirect
260. D4×C4⋊C4C22semidirect
261. D4×C4⋊C4C22semidirect
262. #2347C22semidirect
263. #2345C22semidirect
266. D4×C22⋊C4C22semidirect
267. #2335C22semidirect
268. #2335C22semidirect
269. #2324C22semidirect
271. #2321C22semidirect
272. #2321C22semidirect
273. #2314C22semidirect
274. #2314C22semidirect
275. #2311C22semidirect
276. #2311C22semidirect
277. C4×C4⋊Q8C22semidirect
278. C4×#127C22semidirect
279. C4×#127C22semidirect
281. C4×#121C22semidirect
282. C4×#121C22semidirect
283. C4×#121C22semidirect
284. C4×#121C22semidirect
285. C4×#121C22semidirect
287. C4×#120C22semidirect
288. C4×#120C22semidirect
289. #2293C22semidirect
290. #2285C22semidirect
291. C2×#384C22semidirect
292. #2280C22semidirect
293. #2280C22semidirect
294. #2280C22semidirect
295. C2×#380C22semidirect
296. C2×#380C22semidirect
298. C42×D4C22semidirect

Maximal subgroups

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

subgroupindex
#598222
#593042
#592282
#592042
#590282
#501542
#483942
#457202
#456002
#449122
#448992
#440642
#424682
#424622
#407802
#401162
#399092
#397332
#395072
#394692
#391322
#376502
#364682
#361892
#361602
#361572
#352072
#351652
#350762
C2×#25372
#346812
#343622
C4×D422