Finite Group Databasebeta

← #7709175

Subgroups — #7709175

Order 512.

5982 conjugacy classes of subgroups.

The subgroup lattice has 1938 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59228C211yesmaximal, characteristic, complemented
2#59214C211yesmaximal, characteristic, complemented
3#59049C211yesmaximal, characteristic, complemented
4#59035C211yesmaximal, characteristic, complemented
5#59022C212yesmaximal, complemented
6#59004C212yesmaximal, complemented
7#45642C212yesmaximal, complemented
8#45592C212yesmaximal, complemented
9#45563C214yesmaximal, complemented
10#40170C212yesmaximal, complemented
11#40169C212yesmaximal, complemented
12#40157C214yesmaximal, complemented
13#39220C212yesmaximal, complemented
14#39146C211yesmaximal, characteristic, complemented
15#39136C211yesmaximal, characteristic, complemented
16#39030C212yesmaximal, complemented
17#38942C211yesmaximal, characteristic, complemented
18#38910C211yesmaximal, characteristic, complemented
19#38164C214yesmaximal, complemented
20#38125C212yesmaximal, complemented
21#38084C212yesmaximal, complemented
22#37498C212yesmaximal, complemented
23#36905C214yesmaximal, complemented
24#36624C211yesmaximal, characteristic, complemented
25#36621C211yesmaximal, characteristic, complemented
26#36208C212yesmaximal, complemented
27#36186C211yesmaximal, characteristic, complemented
28#36161C211yesmaximal, characteristic, complemented
29#36117C211yesmaximal, characteristic, complemented
30#36107C212yesmaximal, complemented
31D4×#121C211yesmaximal, characteristic, complemented
32#35236C212yesmaximal, complemented
33#35076C212yesmaximal, complemented
34#34478C212yesmaximal, complemented
35C2×C4×#121C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic, complemented
37C2×#552C2212yescomplemented
38C2×#546C2212yes—
39C2×D42C2212yes—
40C2×D42C2211yescharacteristic, complemented
41C2×#532C2211yescharacteristic, complemented
42C2×#529C2212yescomplemented
43C2×#529C2211yescharacteristic, complemented
44C2×#525C2212yescomplemented
45C22×#121C2211yescharacteristic
46C22×#121C2212yes—
47C22×C4×D4C2211yescharacteristic
48C22×C4×D4C2212yescomplemented
49C23×C42C2211yescharacteristic, complemented
50#2857C2211yescharacteristic, complemented
51#2857C2211yescharacteristic, complemented
52#2856C2211yescharacteristic
53#2856C2211yescharacteristic, complemented
54#2855C2211yescharacteristic, complemented
55#2854C2212yes—
56#2854C2212yescomplemented
57#2854C2211yescharacteristic, complemented
58#2854C2212yescomplemented
59#2854C2212yescomplemented
60#2853C2212yescomplemented
61#2852C2212yescomplemented
62#2852C2212yescomplemented
63#2851C2211yescharacteristic, complemented
64#2851C2211yescharacteristic, complemented
65#2850C2211yescharacteristic
66#2850C2211yescharacteristic, complemented
67#2850C2212yescomplemented
68#2850C2212yescomplemented
69#2849C2212yescomplemented
70#2848C2212yescomplemented
71#2848C2211yescharacteristic, complemented
72#2847C2211yescharacteristic
73#2847C2212yes—
74#2847C2212yescomplemented
75#2847C2212yescomplemented
76#2826C2214yescomplemented
77#2825C2214yescomplemented
78#2803C2214yescomplemented
79#2801C2214yescomplemented
80#2780C2214yescomplemented
81#2779C2214yescomplemented
82#2779C2214yescomplemented
83#2777C2214yescomplemented
84#2770C2214yescomplemented
85#2756C2214yescomplemented
86#2756C2214yescomplemented
87#2752C2214yescomplemented
88#2749C2214yescomplemented
89#2746C2214yescomplemented
90#2741C2214yescomplemented
91#2739C2214yescomplemented
92#2735C2214yescomplemented
93#2727C2214yescomplemented
94#2714C2214yescomplemented
95#2711C2214yescomplemented
96#2711C2214yescomplemented
97#2705C2214yescomplemented
98#2705C2214yescomplemented
99#2703C2214yescomplemented
100#2699C2214yescomplemented
101#2697C2214yescomplemented
102#2694C2214yescomplemented
103#2685C2214yescomplemented
104#2685C2214yescomplemented
105#2685C2214yescomplemented
106#2678C2214yescomplemented
107#2678C2214yescomplemented
108#2671C2214yescomplemented
109#2668C2214yescomplemented
110#2649C2214yescomplemented
111#2648C2214yescomplemented
112#2645C2212yescomplemented
113#2641C2212yescomplemented
114#2636C2214yescomplemented
115#2636C2214yescomplemented
116#2635C2214yescomplemented
117#2635C2214yescomplemented
118#2624C2212yescomplemented
119#2620C2212yescomplemented
120#2593C2214yescomplemented
121#2591C2214yescomplemented
122#2587C2214yescomplemented
123#2576C2214yescomplemented
124#2566C2212yescomplemented
125#2562C2212yescomplemented
126#2562C2212yescomplemented
127#2559C2214yescomplemented
128#2552C2211yescharacteristic, complemented
129#2552C2211yescharacteristic, complemented
130#2548C2211yescharacteristic, complemented
131#2548C2212yescomplemented
132#2547C2211yescharacteristic, complemented
133#2542C2211yescharacteristic, complemented
134#2541C2211yescharacteristic, complemented
135#2540C2212yescomplemented
136#2540C2212yescomplemented
137#2540C2212yescomplemented
138#2539C2214yescomplemented
139#2538C2212yescomplemented
140#2538C2211yescharacteristic, complemented
141#2538C2212yescomplemented
142#2538C2212yescomplemented
143#2537C2212yescomplemented
144#2537C2212yescomplemented
145#2537C2211yescharacteristic, complemented
146#2519C2214yescomplemented
147#2518C2214yescomplemented
148#2516C2214yescomplemented
149#2512C2212yescomplemented
150#2512C2212yescomplemented
151#2510C2214yescomplemented
152#2509C2212yescomplemented
153#2506C2212yescomplemented
154#2501C2212yescomplemented
155#2500C2212yescomplemented
156#2500C2212yescomplemented
157#2498C2214yescomplemented
158#2497C2212yescomplemented
159#2495C2212yescomplemented
160#2494C2212yescomplemented
161#2490C2212yescomplemented
162#2490C2212yescomplemented
163#2490C2212yescomplemented
164#2489C2212yescomplemented
165#2487C2212yescomplemented
166#2487C2212yescomplemented
167#2487C2214yescomplemented
168#2485C2212yescomplemented
169#2480C2214yescomplemented
170#2480C2214yescomplemented
171#2479C2214yescomplemented
172#2476C2214yescomplemented
173#2467C2214yescomplemented
174#2467C2214yescomplemented
175#2466C2214yescomplemented
176#2464C2214yescomplemented
177#2454C2212yescomplemented
178#2454C2214yescomplemented
179#2448C2212yescomplemented
180#2448C2212yescomplemented
181#2447C2212yescomplemented
182#2444C2214yescomplemented
183#2442C2212yescomplemented
184#2441C2212yescomplemented
185#2441C2212yescomplemented
186#2435C2212yes—
187#2435C2212yescomplemented
188#2435C2212yescomplemented
189#2431C2212yescomplemented
190#2428C2212yescomplemented
191#2428C2212yescomplemented
192#2427C2212yes—
193#2427C2212yescomplemented
194#2427C2212yescomplemented
195#2426C2212yescomplemented
196#2425C2214yescomplemented
197#2425C2214yescomplemented
198#2424C2214yescomplemented
199#2424C2214yescomplemented
200#2423C2212yescomplemented
201#2422C2212yescomplemented
202#2420C2212yescomplemented
203#2418C2214yescomplemented
204#2418C2214yescomplemented
205#2417C2212yescomplemented
206#2416C2212yes—
207#2416C2212yescomplemented
208#2415C2212yescomplemented
209#2414C2212yescomplemented
210#2414C2212yescomplemented
211#2414C2212yescomplemented
212#2414C2212yescomplemented
213#2414C2212yescomplemented
214#2414C2212yescomplemented
215#2411C2214yescomplemented
216#2411C2214yescomplemented
217#2411C2214yescomplemented
218#2410C2214yes—
219#2408C2212yes—
220#2408C2212yescomplemented
221#2408C2212yescomplemented
222#2408C2212yescomplemented
223#2408C2214yescomplemented
224#2407C2212yescomplemented
225#2405C2214yescomplemented
226#2405C2214yescomplemented
227#2403C2214yescomplemented
228#2377C2214yescomplemented
229#2375C2214yescomplemented
230#2374C2214yescomplemented
231#2367C2212yescomplemented
232#2366C2211yescharacteristic, complemented
233#2365C2211yescharacteristic, complemented
234#2363C2212yes—
235#2363C2212yescomplemented
236#2362C2212yescomplemented
237#2361C2212yescomplemented
238#2360C2212yescomplemented
239#2360C2212yescomplemented
240#2359C2214yescomplemented
241#2354C2212yescomplemented
242#2354C2211yescharacteristic, complemented
243#2354C2211yescharacteristic, complemented
244#2354C2212yescomplemented
245Q8×C4⋊C4C2211yescharacteristic, complemented
246D4×C4⋊C4C2211yescharacteristic, complemented
247#2347C2212yescomplemented
248#2342C2214yescomplemented
249#2341C2212yescomplemented
250D4×C22⋊C4C2214yescomplemented
251D4×C22⋊C4C2212yescomplemented
252D4×C22⋊C4C2212yescomplemented
253#2335C2214yescomplemented
254#2326C2212yescomplemented
255#2324C2214yescomplemented
256#2324C2214yescomplemented
257#2323C2212yescomplemented
258#2321C2214yescomplemented
259#2321C2214yescomplemented
260#2319C2212yescomplemented
261#2312C2214yescomplemented
262#2309C2212yescomplemented
263C4×C22⋊Q8C2211yescharacteristic, complemented
264C4×C22⋊Q8C2211yescharacteristic, complemented
265C4×#123C2212yescomplemented
266C4×#121C2211yescharacteristic
267C4×#121C2211yescharacteristic
268C4×#121C2211yescharacteristic
269C4×#121C2211yescharacteristic
270C4×#121C2211yescharacteristic
271C4×#121C2212yescomplemented
272C4×#121C2211yescharacteristic, complemented
273C4×#121C2212yescomplemented
274C4×#121C2212yescomplemented
275C4×#121C2212yescomplemented
276C4×#121C2212yescomplemented
277C4×#121C2211yescharacteristic, complemented
278C4×#121C2212yescomplemented
279C4×#121C2212yescomplemented
280C4×#121C2211yescharacteristic, complemented
281C4×#121C2211yescharacteristic, complemented
282C4×#121C2212yescomplemented
283C4×#121C2211yescharacteristic, complemented
284C4×#120C2212yescomplemented
285#2297C2212yescomplemented
286C2×#390C2211yescharacteristic
287C2×#389C2211yescharacteristic, complemented
288#2290C2212yescomplemented
289#2290C2212yescomplemented
290C2×#388C2212yescomplemented
291C2×#386C2212yescomplemented
292#2285C2211yescharacteristic, complemented
293#2285C2212yescomplemented
294#2283C2211yescharacteristic, complemented
295#2280C2212yescomplemented
296C2×#380C2211yescharacteristic, complemented
297C2×C4×C4⋊C4C2211yescharacteristic, complemented
298C2×C4×C22⋊C4C2212yescomplemented
299C22×#41C2312yes—
300C23×D4C2311yescharacteristic
301C23×D4C2312yes—
302C23×D4C2312yes—
303C23×D4C2314yes—
304C23×D4C2312yes—
305C24×C4C2311yescharacteristic
306C24×C4C2311yescharacteristic
307C24×C4C2312yes—
308C24×C4C2311yescharacteristic
309#556—44no—
310#552—48no—
311#546—216no—
312D42—44no—
313D42—48no—
314#532—44no—
315C2×C4⋊Q8C2311yescharacteristic
316C2×#127C2311yescharacteristic
317C2×#127C2312yes—
318#529—44no—
319#529—48no—
320C2×#126C2312yes—
321C2×#126C2314yes—
322C2×#126C2314yes—
323C2×#126C2314yes—
324C2×#125C2312yes—
325C2×#125C2312yes—
326C2×#125C2311yescharacteristic
327C2×#125C2314yes—
328C2×#124C2312yes—
329C2×#124C2311yescharacteristic
330C2×#124C2312yes—
331C2×#124C2312yes—
332C2×#124C2312yes—
333#525—48no—
334C2×#123C2314yes—
335C2×#123C2312yes—
336C2×#123C2312yes—
337C2×#123C2314yes—
338C2×#123C2314yes—
339C2×#123C2314yes—
340C2×#123C2314yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2311yescharacteristic
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2311yescharacteristic
345C2×C22⋊Q8C2311yescharacteristic
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2312yes—
350C2×#121—28no—
351C2×#121—48no—
352C2×#121C2314yes—
353C2×#121C2312yes—
354C2×#121C2311yescharacteristic
355C2×#121C2312yes—
356C2×#121C2311yescharacteristic
357C2×#121C2311yescharacteristic
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2311yescharacteristic
361C2×#121C2314yes—
362C2×#121C2314yes—
363C2×#121C2311yescharacteristic
364C2×#121C2311yescharacteristic
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2312yes—
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2312yes—
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2312yes—
374C2×#121C2312yes—
375C2×#121C2314yes—
376C2×#121C2312yes—
377C2×#121C2312yes—
378C2×#121C2314yes—
379C2×#121C2311yescharacteristic
380C2×#120C2314yes—
381C2×#120C2314yes—
382C2×#120C2312yes—
383C2×#120C2314yes—
384C2×#120C2314yes—
385C2×#120C2314yes—
386C2×#120C2314yes—
387C2×C4×Q8C2311yescharacteristic
388C2×C4×Q8C2312yes—
389C2×C4×Q8C2312yes—
390C2×C4×Q8C2312yes—
391C2×C4×D4—44no—
392C2×C4×D4—48no—
393C2×C4×D4C2312yes—
394C2×C4×D4C2311yescharacteristic
395C2×C4×D4C2311yescharacteristic
396C2×C4×D4C2312yes—
397C2×C4×D4C2311yescharacteristic
398C2×C4×D4C2312yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2312yes—
404C2×C4×D4C2312yes—
405C2×C4×D4C2311yescharacteristic
406C2×C4×D4C2314yes—
407C2×C4×D4C2314yes—
408C2×C4×D4C2312yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2311yescharacteristic
414C2×C4×D4C2312yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2312yes—
417C2×C4×D4C2314yes—
418C2×C4×D4C2312yes—
419C2×#117C2312yes—
420C2×#117C2312yes—
421C2×#117C2314yes—
422C2×#117C2312yes—
423C2×#117C2312yes—
424C2×#117C2314yes—
425C2×#117C2312yes—
426C22×C4⋊C4C2311yescharacteristic
427C22×C4⋊C4C2311yescharacteristic
428C22×C4⋊C4C2312yes—
429C22×C4⋊C4C2312yes—
430C22×C4⋊C4C2311yescharacteristic
431C22×C22⋊C4C2314yes—
432C22×C22⋊C4C2312yes—
433C22×C22⋊C4C2314yes—
434C22×C22⋊C4C2312yes—
435C22×C22⋊C4C2312yes—
436C22×C22⋊C4C2312yes—
437C22×C22⋊C4C2312yes—
438C22×C42—44no—
439C22×C42C2312yes—
440C22×C42C2311yescharacteristic
441C22×C42C2311yescharacteristic
442C22×C42C2311yescharacteristic
443C22×C42C2311yescharacteristic
444C22×C42C2311yescharacteristic
445C22×C42C2311yescharacteristic
446C22×C42C2311yescharacteristic
447C22×C42C2311yescharacteristic
448C22×C42C2311yescharacteristic
449C22×C42C2311yescharacteristic
450C22×C42C2311yescharacteristic
451C22×C42C2311yescharacteristic
452#401C2314yes—
453#400C2314yes—
454#400C2314yes—
455#400C2314yes—
456#400C2314yes—
457#400C2314yes—
458#400C2314yes—
459#400C2314yes—
460#399C2314yes—
461#399C2314yes—
462#399C2314yes—
463#399C2314yes—
464#399C2314yes—
465#399C2314yes—
466#399C2314yes—
467#399C2314yes—
468#398C2314yes—
469#398C2314yes—
470#398C2314yes—
471#398C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#397C2314yes—
477#397C2314yes—
478#397C2314yes—
479#397C2314yes—
480#397C2314yes—
481#397C2314yes—
482#397C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#396C2314yes—
487#396C2314yes—
488#396C2314yes—
489#396C2314yes—
490#396C2314yes—
491#396C2314yes—
492#396C2314yes—
493#396C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
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#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#392C2314yes—
523#392C2314yes—
524#392C2314yes—
525#392C2314yes—
526#392C2314yes—
527#392C2314yes—
528#392C2314yes—
529#392C2314yes—
530#392C2314yes—
531#392C2314yes—
532#391C2312yes—
533#391C2311yescharacteristic
534#391C2311yescharacteristic
535#391C2312yes—
536#391C2312yes—
537#391C2312yes—
538#390C2311yescharacteristic
539#390C2312yes—
540#390C2312yes—
541#390C2314yes—
542#390C2312yes—
543#390C2314yes—
544#390C2311yescharacteristic
545#390C2312yes—
546#390C2314yes—
547#390C2314yes—
548#390C2314yes—
549#390C2314yes—
550#390C2314yes—
551#390C2314yes—
552#390C2314yes—
553#390C2314yes—
554#390C2314yes—
555#390C2314yes—
556#390C2311yescharacteristic
557#390C2312yes—
558#390C2312yes—
559#390C2314yes—
560#390C2311yescharacteristic
561#390C2312yes—
562#390C2312yes—
563#390C2312yes—
564#390C2312yes—
565#390C2312yes—
566#390C2312yes—
567#390C2312yes—
568#390C2312yes—
569#390C2312yes—
570#390C2314yes—
571#390C2311yescharacteristic
572#390C2312yes—
573#390C2312yes—
574#390C2312yes—
575#390C2311yescharacteristic
576#389C2311yescharacteristic
577#389C2312yes—
578#389C2314yes—
579#389C2314yes—
580#389C2314yes—
581#389C2314yes—
582#389C2311yescharacteristic
583#389C2311yescharacteristic
584#389C2311yescharacteristic
585#389C2311yescharacteristic
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2312yes—
591#389C2312yes—
592#389C2312yes—
593#389C2312yes—
594#389C2312yes—
595#389C2314yes—
596#389C2312yes—
597#389C2314yes—
598#389C2312yes—
599#389C2311yescharacteristic
600#389C2311yescharacteristic
601#389C2311yescharacteristic
602#389C2312yes—
603#389C2312yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2312yes—
609#388C2312yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
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#388C2312yes—
627#388C2314yes—
628#388C2314yes—
629#388C2312yes—
630#388C2312yes—
631#388C2314yes—
632#388C2314yes—
633#388C2312yes—
634#388C2312yes—
635#388C2312yes—
636#388C2312yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2312yes—
642#388C2312yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2312yes—
649#388C2312yes—
650#388C2312yes—
651#388C2312yes—
652#388C2312yes—
653#387C2312yes—
654#387C2314yes—
655#387C2314yes—
656#387C2312yes—
657#387C2312yes—
658#387C2314yes—
659#387C2312yes—
660#387C2312yes—
661#387C2312yes—
662#387C2312yes—
663#387C2312yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#386C2312yes—
669#386C2312yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2312yes—
674#386C2312yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2312yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2312yes—
689#386C2312yes—
690#386C2312yes—
691#386C2312yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2312yes—
697#386C2312yes—
698#386C2314yes—
699#386C2312yes—
700#386C2312yes—
701#386C2312yes—
702#386C2312yes—
703#386C2312yes—
704#386C2312yes—
705#386C2312yes—
706#385C2314yes—
707#385C2314yes—
708#385C2312yes—
709#385C2314yes—
710#385C2314yes—
711#385C2312yes—
712#385C2312yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2312yes—
718#385C2314yes—
719#385C2312yes—
720#385C2312yes—
721#385C2312yes—
722#385C2312yes—
723#385C2312yes—
724#385C2312yes—
725#385C2314yes—
726#384C2312yes—
727#384C2312yes—
728#384C2311yescharacteristic
729#384C2311yescharacteristic
730#384C2312yes—
731#384C2312yes—
732#383C2312yes—
733#383C2314yes—
734#382C2312yes—
735#382C2314yes—
736#382C2311yescharacteristic
737#382C2311yescharacteristic
738#381C2314yes—
739#381C2314yes—
740#381C2312yes—
741#381C2312yes—
742#380C2311yescharacteristic
743#380C2311yescharacteristic
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2312yes—
748#380C2312yes—
749#380C2312yes—
750#380C2314yes—
751#380C2314yes—
752#380C2312yes—
753#380C2314yes—
754#380C2314yes—
755#380C2311yescharacteristic
756#380C2311yescharacteristic
757#380C2311yescharacteristic
758#380C2311yescharacteristic
759#380C2312yes—
760#380C2312yes—
761#380C2312yes—
762#380C2312yes—
763#380C2314yes—
764#380C2311yescharacteristic
765#380C2312yes—
766#380C2311yescharacteristic
767#380C2312yes—
768#380C2314yes—
769#380C2312yes—
770#380C2311yescharacteristic
771#380C2312yes—
772#380C2312yes—
773#380C2311yescharacteristic
774#379C2314yes—
775#379C2314yes—
776#379C2314yes—
777#379C2314yes—
778#379C2312yes—
779#379C2314yes—
780#379C2314yes—
781#379C2314yes—
782#379C2314yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2314yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2314yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2311yescharacteristic
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2312yes—
820#376C2312yes—
821C2×#95C2312yes—
822C2×#95C2312yes—
823C2×#95C2312yes—
824C25C2411yescharacteristic
825C25C2412yes—
826C25C2414yes—
827C2×#41—28no—
828C2×#41—44no—
829C2×#41—44no—
830C22×Q8C2411yescharacteristic
831C22×Q8C2412yes—
832C22×D4—24no—
833C22×D4—28no—
834C22×D4—28no—
835C22×D4—24no—
836C22×D4—42no—
837C22×D4—44no—
838C22×D4—44no—
839C22×D4—44no—
840C22×D4—44no—
841C22×D4—44no—
842C22×D4—44no—
843C22×D4—44no—
844C22×D4—48no—
845C22×D4—48no—
846C22×D4—48no—
847C22×D4C2414yes—
848C22×D4C2412yes—
849C22×D4C2411yescharacteristic
850C22×D4C2412yes—
851C22×D4C2411yescharacteristic
852C22×D4C2412yes—
853C22×D4C2412yes—
854C22×D4C2412yes—
855C22×D4C2412yes—
856C22×D4C2411yescharacteristic
857C22×D4C2412yes—
858C22×D4C2412yes—
859C22×D4C2412yes—
860C22×D4C2414yes—
861C22×D4C2412yes—
862C22×D4C2414yes—
863C22×D4C2414yes—
864C22×D4C2414yes—
865C22×D4C2414yes—
866C22×D4C2414yes—
867C22×D4C2414yes—
868C22×D4C2412yes—
869C23×C4—24no—
870C23×C4—24no—
871C23×C4—24no—
872C23×C4—28no—
873C23×C4—42no—
874C23×C4—42no—
875C23×C4—42no—
876C23×C4—42no—
877C23×C4—44no—
878C23×C4—44no—
879C23×C4—42no—
880C23×C4—42no—
881C23×C4C2412yes—
882C23×C4C2412yes—
883C23×C4C2412yes—
884C23×C4C2412yes—
885C23×C4C2411yescharacteristic
886C23×C4C2411yescharacteristic
887C23×C4C2411yescharacteristic
888C23×C4C2411yescharacteristic
889C23×C4C2411yescharacteristic
890C23×C4C2412yes—
891C23×C4C2411yescharacteristic
892C23×C4C2411yescharacteristic
893C23×C4C2411yescharacteristic
894C23×C4C2411yescharacteristic
895C23×C4C2411yescharacteristic
896C23×C4C2411yescharacteristic
897C23×C4C2412yes—
898C23×C4C2411yescharacteristic
899C23×C4C2412yes—
900C23×C4C2411yescharacteristic
901C23×C4C2414yes—
902C23×C4C2414yes—
903C23×C4C2412yes—
904C23×C4C2411yescharacteristic
905C23×C4C2411yescharacteristic
906C23×C4C2411yescharacteristic
907C23×C4C2411yescharacteristic
908C23×C4C2414yes—
909C23×C4C2411yescharacteristic
910C4⋊Q8—24no—
911#127—24no—
912#127—44no—
913#126—44no—
914#126—48no—
915#126—48no—
916#126—48no—
917#125—42no—
918#125—44no—
919#125—44no—
920#125—48no—
921#124—28no—
922#124—42no—
923#124—44no—
924#124—44no—
925#124—44no—
926#123—216no—
927#123—48no—
928#123—44no—
929#123—48no—
930#123—44no—
931#123—48no—
932#123—48no—
933C22⋊Q8—28no—
934C22⋊Q8—24no—
935C22⋊Q8—28no—
936C22⋊Q8—44no—
937C22⋊Q8—42no—
938C22⋊Q8—44no—
939C22⋊Q8—42no—
940C22⋊Q8—44no—
941C22⋊Q8—44no—
942#121—24no—
943#121—28no—
944#121—216no—
945#121—24no—
946#121—24no—
947#121—28no—
948#121—28no—
949#121—24no—
950#121—28no—
951#121—48no—
952#121—48no—
953#121—48no—
954#121—44no—
955#121—44no—
956#121—42no—
957#121—44no—
958#121—44no—
959#121—44no—
960#121—42no—
961#121—44no—
962#121—44no—
963#121—44no—
964#121—44no—
965#121—44no—
966#121—48no—
967#121—44no—
968#121—44no—
969#121#4118yes—
970#120—216no—
971#120—48no—
972#120—48no—
973#120—44no—
974#120—48no—
975#120—48no—
976#120—48no—
977C4×Q8—24no—
978C4×Q8—44no—
979C4×Q8—44no—
980C4×Q8—44no—
981C4×D4—28no—
982C4×D4—28no—
983C4×D4—28no—
984C4×D4—24no—
985C4×D4—24no—
986C4×D4—24no—
987C4×D4—44no—
988C4×D4—42no—
989C4×D4—42no—
990C4×D4—44no—
991C4×D4—44no—
992C4×D4—44no—
993C4×D4—44no—
994C4×D4—44no—
995C4×D4—44no—
996C4×D4—44no—
997C4×D4—44no—
998C4×D4—44no—
999C4×D4—44no—
1000C4×D4—44no—
1001C4×D4—44no—
1002C4×D4—44no—
1003C4×D4—44no—
1004C4×D4—48no—
1005C4×D4—48no—
1006C4×D4—48no—
1007#117—44no—
1008#117—48no—
1009#117—48no—
1010#117—44no—
1011#117—44no—
1012#117—44no—
1013#117—44no—
1014C2×C4⋊C4—24no—
1015C2×C4⋊C4—24no—
1016C2×C4⋊C4—42no—
1017C2×C4⋊C4—44no—
1018C2×C4⋊C4—44no—
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C4⋊C4C2411yescharacteristic
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2411yescharacteristic
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2411yescharacteristic
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2411yescharacteristic
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2411yescharacteristic
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2411yescharacteristic
1036C2×C4⋊C4C2411yescharacteristic
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2411yescharacteristic
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2414yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2414yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2414yes—
1055C2×C4⋊C4C2414yes—
1056C2×C4⋊C4C2414yes—
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2414yes—
1059C2×C4⋊C4C2414yes—
1060C2×C4⋊C4C2414yes—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2414yes—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2414yes—
1066C2×C4⋊C4C2414yes—
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2414yes—
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2414yes—
1071C2×C4⋊C4C2411yescharacteristic
1072C2×C22⋊C4—28no—
1073C2×C22⋊C4—216no—
1074C2×C22⋊C4—44no—
1075C2×C22⋊C4—48no—
1076C2×C22⋊C4—44no—
1077C2×C22⋊C4—44no—
1078C2×C22⋊C4—44no—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2412yes—
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×C42—28no—
1155C2×C42—24no—
1156C2×C42—24no—
1157C2×C42—24no—
1158C2×C42—42no—
1159C2×C42—42no—
1160C2×C42—42no—
1161C2×C42—42no—
1162C2×C42—42no—
1163C2×C42—42no—
1164C2×C42—42no—
1165C2×C42—42no—
1166C2×C42—42no—
1167C2×C42C2412yes—
1168C2×C42C2411yescharacteristic
1169C2×C42C2412yes—
1170C2×C42C2412yes—
1171C2×C42C2412yes—
1172C2×C42C2412yes—
1173C2×C42C2412yes—
1174C2×C42C2412yes—
1175C2×C42C2411yescharacteristic
1176C2×C42C2411yescharacteristic
1177C2×C42C2411yescharacteristic
1178C2×C42C2411yescharacteristic
1179C2×C42C2411yescharacteristic
1180C2×C42C2411yescharacteristic
1181C2×C42C2411yescharacteristic
1182C2×C42C2411yescharacteristic
1183C2×C42C2414yes—
1184C2×C42C2414yes—
1185C2×C42C2414yes—
1186C2×C42C2414yes—
1187C2×C42C2414yes—
1188C2×C42C2414yes—
1189C2×C42C2411yescharacteristic
1190C2×C42C2411yescharacteristic
1191C2×C42C2411yescharacteristic
1192C2×C42C2411yescharacteristic
1193C2×C42C2411yescharacteristic
1194C2×C42C2411yescharacteristic
1195C2×C42C2411yescharacteristic
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2412yes—
1215#95C2414yes—
1216#95C2412yes—
1217#95C2412yes—
1218#95C2412yes—
1219#95C2414yes—
1220#95C2414yes—
1221#95C2414yes—
1222#95C2414yes—
1223#95C2414yes—
1224#95C2412yes—
1225#95C2412yes—
1226#95C2414yes—
1227#95C2412yes—
1228#95C2412yes—
1229#95C2412yes—
1230#95C2414yes—
1231#95C2414yes—
1232#95C2414yes—
1233#95C2414yes—
1234#95C2414yes—
1235#95C2414yes—
1236#95C2412yes—
1237#95C2414yes—
1238#95C2412yes—
1239#95C2412yes—
1240#95C2412yes—
1241#95C2412yes—
1242#95C2414yes—
1243#95C2414yes—
1244#95C2414yes—
1245#95C2414yes—
1246C24—22no—
1247C24—22no—
1248C24—22no—
1249C24—24no—
1250C24—22no—
1251C24—22no—
1252C24—24no—
1253C24—24no—
1254C24—24no—
1255C24—28no—
1256C24—41no—
1257C24—41no—
1258C24—42no—
1259C24—42no—
1260C24—42no—
1261C24—44no—
1262C24—44no—
1263C24—44no—
1264C24—44no—
1265C24—44no—
1266C24—44no—
1267C24C2512yes—
1268C24C2512yes—
1269C24C2514yes—
1270C24C2512yes—
1271C24C2511yescharacteristic
1272C24C2511yescharacteristic
1273C24C2511yescharacteristic
1274#41—816no—
1275C2×Q8—24no—
1276C2×Q8—22no—
1277C2×Q8—22no—
1278C2×Q8—24no—
1279C2×Q8—24no—
1280C2×Q8—22no—
1281C2×D4—24no—
1282C2×D4—24no—
1283C2×D4—24no—
1284C2×D4—24no—
1285C2×D4—28no—
1286C2×D4—28no—
1287C2×D4—24no—
1288C2×D4—24no—
1289C2×D4—24no—
1290C2×D4—24no—
1291C2×D4—28no—
1292C2×D4—24no—
1293C2×D4—28no—
1294C2×D4—28no—
1295C2×D4—24no—
1296C2×D4—28no—
1297C2×D4—24no—
1298C2×D4—24no—
1299C2×D4—22no—
1300C2×D4—22no—
1301C2×D4—22no—
1302C2×D4—22no—
1303C2×D4—22no—
1304C2×D4—24no—
1305C2×D4—24no—
1306C2×D4—24no—
1307C2×D4—22no—
1308C2×D4—24no—
1309C2×D4—22no—
1310C2×D4—24no—
1311C2×D4—24no—
1312C2×D4—24no—
1313C2×D4—22no—
1314C2×D4—416no—
1315C2×D4—42no—
1316C2×D4—42no—
1317C2×D4—42no—
1318C2×D4—42no—
1319C2×D4—42no—
1320C2×D4—42no—
1321C2×D4—42no—
1322C2×D4—44no—
1323C2×D4—42no—
1324C2×D4—44no—
1325C2×D4—44no—
1326C2×D4—44no—
1327C2×D4—44no—
1328C2×D4—44no—
1329C2×D4—42no—
1330C2×D4—42no—
1331C2×D4—44no—
1332C2×D4—44no—
1333C2×D4—44no—
1334C2×D4—44no—
1335C2×D4—44no—
1336C2×D4—42no—
1337C2×D4—42no—
1338C2×D4—42no—
1339C2×D4—44no—
1340C2×D4—44no—
1341C2×D4—44no—
1342C2×D4—44no—
1343C2×D4—44no—
1344C2×D4—44no—
1345C2×D4—44no—
1346C2×D4—432no—
1347C2×D4—816no—
1348C2×D4—816no—
1349C2×D4—832no—
1350C2×D4C2×#4114yes—
1351C2×D4C2×#4118yes—
1352C22×C4—22no—
1353C22×C4—22no—
1354C22×C4—22no—
1355C22×C4—22no—
1356C22×C4—22no—
1357C22×C4—22no—
1358C22×C4—22no—
1359C22×C4—24no—
1360C22×C4—24no—
1361C22×C4—22no—
1362C22×C4—24no—
1363C22×C4—22no—
1364C22×C4—22no—
1365C22×C4—24no—
1366C22×C4—22no—
1367C22×C4—22no—
1368C22×C4—22no—
1369C22×C4—24no—
1370C22×C4—22no—
1371C22×C4—24no—
1372C22×C4—24no—
1373C22×C4—22no—
1374C22×C4—22no—
1375C22×C4—22no—
1376C22×C4—22no—
1377C22×C4—22no—
1378C22×C4—22no—
1379C22×C4—22no—
1380C22×C4—22no—
1381C22×C4—24no—
1382C22×C4—24no—
1383C22×C4—24no—
1384C22×C4—24no—
1385C22×C4—24no—
1386C22×C4—22no—
1387C22×C4—22no—
1388C22×C4—22no—
1389C22×C4—22no—
1390C22×C4—22no—
1391C22×C4—24no—
1392C22×C4—22no—
1393C22×C4—22no—
1394C22×C4—24no—
1395C22×C4—22no—
1396C22×C4—22no—
1397C22×C4—24no—
1398C22×C4—28no—
1399C22×C4—28no—
1400C22×C4—24no—
1401C22×C4—24no—
1402C22×C4—41no—
1403C22×C4—41no—
1404C22×C4—41no—
1405C22×C4—41no—
1406C22×C4—41no—
1407C22×C4—41no—
1408C22×C4—41no—
1409C22×C4—41no—
1410C22×C4—41no—
1411C22×C4—41no—
1412C22×C4—41no—
1413C22×C4—41no—
1414C22×C4—41no—
1415C22×C4—41no—
1416C22×C4—41no—
1417C22×C4—41no—
1418C22×C4—41no—
1419C22×C4—41no—
1420C22×C4—41no—
1421C22×C4—41no—
1422C22×C4—42no—
1423C22×C4—416no—
1424C22×C4—42no—
1425C22×C4—44no—
1426C22×C4—44no—
1427C22×C4—42no—
1428C22×C4—42no—
1429C22×C4—44no—
1430C22×C4—44no—
1431C22×C4—44no—
1432C22×C4—44no—
1433C22×C4—42no—
1434C22×C4—42no—
1435C22×C4—42no—
1436C22×C4—44no—
1437C22×C4—416no—
1438C22×C4—416no—
1439C22×C4—816no—
1440C22×C4C2×#4114yes—
1441C22×C4H(5,𝔽2)14yes—
1442C22×C4H(5,𝔽2)14yes—
1443C22×C4C2511yescharacteristic
1444C22×C4C2511yescharacteristic
1445C22×C4C2511yescharacteristic
1446C22×C4C2512yes—
1447C22×C4C2512yes—
1448C22×C4C2512yes—
1449C22×C4C2512yes—
1450C22×C4C2512yes—
1451C22×C4C2512yes—
1452C22×C4C2511yescharacteristic
1453C22×C4C2511yescharacteristic
1454C22×C4C2511yescharacteristic
1455C22×C4C2512yes—
1456C22×C4C2512yes—
1457C22×C4C2514yes—
1458C22×C4C2514yes—
1459C22×C4C2512yes—
1460C22×C4C2514yes—
1461C22×C4C2512yes—
1462C22×C4C2512yes—
1463C22×C4C2512yes—
1464C22×C4C2511yescharacteristic
1465C22×C4C2512yes—
1466C22×C4C2511yescharacteristic
1467C22×C4C2511yescharacteristic
1468C22×C4C2511yescharacteristic
1469C22×C4C2511yescharacteristic
1470C22×C4C2511yescharacteristic
1471C4⋊C4—24no—
1472C4⋊C4—22no—
1473C4⋊C4—24no—
1474C4⋊C4—28no—
1475C4⋊C4—22no—
1476C4⋊C4—22no—
1477C4⋊C4—24no—
1478C4⋊C4—22no—
1479C4⋊C4—22no—
1480C4⋊C4—22no—
1481C4⋊C4—24no—
1482C4⋊C4—22no—
1483C4⋊C4—24no—
1484C4⋊C4—24no—
1485C4⋊C4—24no—
1486C4⋊C4—24no—
1487C4⋊C4—22no—
1488C4⋊C4—24no—
1489C4⋊C4—22no—
1490C4⋊C4—24no—
1491C4⋊C4—28no—
1492C4⋊C4—24no—
1493C4⋊C4—22no—
1494C4⋊C4—24no—
1495C4⋊C4—22no—
1496C4⋊C4—42no—
1497C4⋊C4—42no—
1498C4⋊C4—42no—
1499C4⋊C4—42no—
1500C4⋊C4—42no—
1501C4⋊C4—44no—
1502C4⋊C4—44no—
1503C4⋊C4—42no—
1504C4⋊C4—42no—
1505C4⋊C4—44no—
1506C4⋊C4—44no—
1507C4⋊C4—44no—
1508C4⋊C4—42no—
1509C4⋊C4—44no—
1510C4⋊C4—44no—
1511C4⋊C4—44no—
1512C4⋊C4—44no—
1513C4⋊C4—42no—
1514C4⋊C4—42no—
1515C4⋊C4—44no—
1516C4⋊C4—44no—
1517C4⋊C4—42no—
1518C4⋊C4—44no—
1519C4⋊C4—44no—
1520C4⋊C4—42no—
1521C4⋊C4—42no—
1522C4⋊C4—44no—
1523C4⋊C4C2×#4114yes—
1524C22⋊C4—24no—
1525C22⋊C4—28no—
1526C22⋊C4—24no—
1527C22⋊C4—28no—
1528C22⋊C4—24no—
1529C22⋊C4—28no—
1530C22⋊C4—24no—
1531C22⋊C4—24no—
1532C22⋊C4—24no—
1533C22⋊C4—24no—
1534C22⋊C4—28no—
1535C22⋊C4—24no—
1536C22⋊C4—24no—
1537C22⋊C4—28no—
1538C22⋊C4—24no—
1539C22⋊C4—28no—
1540C22⋊C4—24no—
1541C22⋊C4—24no—
1542C22⋊C4—24no—
1543C22⋊C4—24no—
1544C22⋊C4—28no—
1545C22⋊C4—42no—
1546C22⋊C4—42no—
1547C22⋊C4—42no—
1548C22⋊C4—42no—
1549C22⋊C4—42no—
1550C22⋊C4—42no—
1551C22⋊C4—42no—
1552C22⋊C4—42no—
1553C22⋊C4—42no—
1554C22⋊C4—42no—
1555C22⋊C4—42no—
1556C22⋊C4—42no—
1557C22⋊C4—42no—
1558C22⋊C4—42no—
1559C22⋊C4—44no—
1560C22⋊C4—44no—
1561C22⋊C4—44no—
1562C22⋊C4—44no—
1563C22⋊C4—42no—
1564C22⋊C4—42no—
1565C22⋊C4—44no—
1566C22⋊C4—44no—
1567C22⋊C4—44no—
1568C22⋊C4—44no—
1569C22⋊C4—44no—
1570C22⋊C4—44no—
1571C22⋊C4—44no—
1572C22⋊C4—44no—
1573C22⋊C4—42no—
1574C22⋊C4—44no—
1575C22⋊C4—42no—
1576C22⋊C4—44no—
1577C22⋊C4—42no—
1578C22⋊C4—42no—
1579C22⋊C4—44no—
1580C22⋊C4—44no—
1581C22⋊C4—44no—
1582C22⋊C4—44no—
1583C22⋊C4—44no—
1584C22⋊C4—42no—
1585C22⋊C4—44no—
1586C22⋊C4—44no—
1587C22⋊C4—44no—
1588C22⋊C4—44no—
1589C22⋊C4—44no—
1590C22⋊C4—44no—
1591C22⋊C4—42no—
1592C22⋊C4—44no—
1593C22⋊C4—44no—
1594C22⋊C4—44no—
1595C22⋊C4—44no—
1596C22⋊C4—42no—
1597C22⋊C4—42no—
1598C22⋊C4C2×#4118yes—
1599C42—24no—
1600C42—22no—
1601C42—22no—
1602C42—22no—
1603C42—22no—
1604C42—22no—
1605C42—22no—
1606C42—22no—
1607C42—22no—
1608C42—22no—
1609C42—24no—
1610C42—24no—
1611C42—24no—
1612C42—24no—
1613C42—24no—
1614C42—24no—
1615C42—41no—
1616C42—41no—
1617C42—41no—
1618C42—41no—
1619C42—41no—
1620C42—41no—
1621C42—44no—
1622C42—44no—
1623C42—44no—
1624C42—44no—
1625C42—44no—
1626C42—44no—
1627C42H(5,𝔽2)14yes—
1628C23—21no—
1629C23—21no—
1630C23—21no—
1631C23—21no—
1632C23—28no—
1633C23—21no—
1634C23—22no—
1635C23—21no—
1636C23—21no—
1637C23—21no—
1638C23—21no—
1639C23—21no—
1640C23—22no—
1641C23—22no—
1642C23—21no—
1643C23—21no—
1644C23—22no—
1645C23—21no—
1646C23—21no—
1647C23—22no—
1648C23—22no—
1649C23—21no—
1650C23—21no—
1651C23—22no—
1652C23—22no—
1653C23—24no—
1654C23—22no—
1655C23—22no—
1656C23—24no—
1657C23—22no—
1658C23—22no—
1659C23—24no—
1660C23—24no—
1661C23—22no—
1662C23—22no—
1663C23—22no—
1664C23—24no—
1665C23—22no—
1666C23—24no—
1667C23—22no—
1668C23—24no—
1669C23—22no—
1670C23—22no—
1671C23—22no—
1672C23—44no—
1673C23—44no—
1674C23—44no—
1675C23—44no—
1676C23—48no—
1677C23—48no—
1678C23—48no—
1679C23—44no—
1680C23—44no—
1681C23—48no—
1682C23—84no—
1683C23—84no—
1684C23—84no—
1685C23—88no—
1686C23—88no—
1687C23—88no—
1688C23—88no—
1689C23—88no—
1690C23—164no—
1691C23—164no—
1692C23C22×#4114yes—
1693C23C22×#4112yes—
1694C23C2×H(5,𝔽2)12yes—
1695C23C2×H(5,𝔽2)12yes—
1696C23#58512yes—
1697C23#58512yes—
1698C23C2611yescharacteristic
1699Q8—48no—
1700Q8—44no—
1701D4—28no—
1702D4—48no—
1703D4—48no—
1704D4—48no—
1705D4—48no—
1706D4—48no—
1707D4—416no—
1708D4—48no—
1709D4—44no—
1710D4—48no—
1711D4—48no—
1712D4—44no—
1713D4—84no—
1714D4—84no—
1715D4—84no—
1716D4—88no—
1717D4—88no—
1718D4—88no—
1719D4—88no—
1720D4—88no—
1721D4—88no—
1722D4—164no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—22no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—22no—
1732C2×C4—21no—
1733C2×C4—28no—
1734C2×C4—28no—
1735C2×C4—28no—
1736C2×C4—22no—
1737C2×C4—22no—
1738C2×C4—21no—
1739C2×C4—24no—
1740C2×C4—22no—
1741C2×C4—22no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—22no—
1749C2×C4—22no—
1750C2×C4—22no—
1751C2×C4—22no—
1752C2×C4—22no—
1753C2×C4—22no—
1754C2×C4—22no—
1755C2×C4—22no—
1756C2×C4—22no—
1757C2×C4—24no—
1758C2×C4—22no—
1759C2×C4—22no—
1760C2×C4—24no—
1761C2×C4—24no—
1762C2×C4—24no—
1763C2×C4—24no—
1764C2×C4—22no—
1765C2×C4—22no—
1766C2×C4—22no—
1767C2×C4—22no—
1768C2×C4—22no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—22no—
1773C2×C4—22no—
1774C2×C4—22no—
1775C2×C4—22no—
1776C2×C4—24no—
1777C2×C4—22no—
1778C2×C4—22no—
1779C2×C4—22no—
1780C2×C4—22no—
1781C2×C4—22no—
1782C2×C4—22no—
1783C2×C4—22no—
1784C2×C4—24no—
1785C2×C4—21no—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—22no—
1791C2×C4—22no—
1792C2×C4—22no—
1793C2×C4—21no—
1794C2×C4—21no—
1795C2×C4—21no—
1796C2×C4—22no—
1797C2×C4—24no—
1798C2×C4—22no—
1799C2×C4—44no—
1800C2×C4—44no—
1801C2×C4—44no—
1802C2×C4—44no—
1803C2×C4—44no—
1804C2×C4—48no—
1805C2×C4—44no—
1806C2×C4—44no—
1807C2×C4—44no—
1808C2×C4—44no—
1809C2×C4—44no—
1810C2×C4—44no—
1811C2×C4—44no—
1812C2×C4—48no—
1813C2×C4—44no—
1814C2×C4—48no—
1815C2×C4—44no—
1816C2×C4—44no—
1817C2×C4—48no—
1818C2×C4—48no—
1819C2×C4—88no—
1820C2×C4—84no—
1821C2×C4—84no—
1822C2×C4—88no—
1823C2×C4—84no—
1824C2×C4—88no—
1825C2×C4C22×#4114yes—
1826C2×C4C22×#4112yes—
1827C2×C4C22×#4112yes—
1828C2×C4C2×H(5,𝔽2)12yes—
1829C2×C4C2×H(5,𝔽2)12yes—
1830C2×C4C2×H(5,𝔽2)12yes—
1831C2×C4C2×H(5,𝔽2)12yes—
1832C2×C4C2×H(5,𝔽2)12yes—
1833C2×C4C2×H(5,𝔽2)12yes—
1834C2×C4C2×H(5,𝔽2)12yes—
1835C2×C4#58512yes—
1836C22—22no—
1837C22—22no—
1838C22—22no—
1839C22—22no—
1840C22—22no—
1841C22—22no—
1842C22—22no—
1843C22—24no—
1844C22—22no—
1845C22—22no—
1846C22—24no—
1847C22—22no—
1848C22—24no—
1849C22—22no—
1850C22—22no—
1851C22—416no—
1852C22—42no—
1853C22—41no—
1854C22—41no—
1855C22—41no—
1856C22—41no—
1857C22—41no—
1858C22—42no—
1859C22—41no—
1860C22—42no—
1861C22—41no—
1862C22—41no—
1863C22—42no—
1864C22—42no—
1865C22—44no—
1866C22—42no—
1867C22—42no—
1868C22—44no—
1869C22—42no—
1870C22—44no—
1871C22—42no—
1872C22—42no—
1873C22—42no—
1874C22—42no—
1875C22—44no—
1876C22—44no—
1877C22—42no—
1878C22—42no—
1879C22—44no—
1880C22—42no—
1881C22—42no—
1882C22—42no—
1883C22—42no—
1884C22—44no—
1885C22—816no—
1886C22—1616no—
1887C22#354614yes—
1888C22C23×#4111yescharacteristic
1889C22C22×H(5,𝔽2)11yescharacteristic
1890C22C22×H(5,𝔽2)11yescharacteristic
1891C22C22×H(5,𝔽2)11yescharacteristic
1892C22C2×#58511yescharacteristic
1893C22C2×#58511yescharacteristic
1894C22C2×#58511yescharacteristic
1895C4—22no—
1896C4—22no—
1897C4—24no—
1898C4—22no—
1899C4—22no—
1900C4—42no—
1901C4—42no—
1902C4—42no—
1903C4—44no—
1904C4—41no—
1905C4—42no—
1906C4—44no—
1907C4—42no—
1908C4—42no—
1909C4—42no—
1910C4—41no—
1911C4—41no—
1912C4—41no—
1913C4—42no—
1914C4—44no—
1915C4—42no—
1916C4—41no—
1917C4—41no—
1918C4—42no—
1919C4—42no—
1920C4—42no—
1921C4#351914yes—
1922C4#354214yes—
1923C2—24no—
1924C2—42no—
1925C2—42no—
1926C2—44no—
1927C2—82no—
1928C2—84no—
1929C2—82no—
1930C2C2×#354211yescharacteristic
1931C2C2×#354611yescharacteristic
1932C2C2×#351911yescharacteristic
1933C2#6277311yescharacteristic
1934C2#6281611yescharacteristic
1935C2#6282111yescharacteristic
1936C2#6283011yescharacteristic
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. #59228C2semidirect
2. #59214C2semidirect
3. #59049C2semidirect
4. #59035C2semidirect
5. #59022C2semidirect
6. #59004C2semidirect
7. #45642C2semidirect
8. #45592C2semidirect
9. #45563C2semidirect
10. #40170C2semidirect
11. #40169C2semidirect
12. #40157C2semidirect
13. #39220C2semidirect
14. #39146C2semidirect
15. #39136C2semidirect
16. #39030C2semidirect
17. #38942C2semidirect
18. #38910C2semidirect
19. #38164C2semidirect
20. #38125C2semidirect
21. #38084C2semidirect
22. #37498C2semidirect
23. #36905C2semidirect
24. #36624C2semidirect
25. #36621C2semidirect
26. #36208C2semidirect
27. #36186C2semidirect
28. #36161C2semidirect
29. #36117C2semidirect
30. #36107C2semidirect
31. D4×#121C2semidirect
32. #35236C2semidirect
33. #35076C2semidirect
34. #34478C2semidirect
35. C2×C4×#121C2semidirect
36. C2×#556C22semidirect
37. C2×#552C22semidirect
40. C2×D42C22semidirect
41. C2×#532C22semidirect
42. C2×#529C22semidirect
43. C2×#529C22semidirect
44. C2×#525C22semidirect
48. C22×C4×D4C22semidirect
49. C23×C42C22semidirect
50. #2857C22semidirect
51. #2857C22semidirect
53. #2856C22semidirect
54. #2855C22semidirect
56. #2854C22semidirect
57. #2854C22semidirect
58. #2854C22semidirect
59. #2854C22semidirect
60. #2853C22semidirect
61. #2852C22semidirect
62. #2852C22semidirect
63. #2851C22semidirect
64. #2851C22semidirect
66. #2850C22semidirect
67. #2850C22semidirect
68. #2850C22semidirect
69. #2849C22semidirect
70. #2848C22semidirect
71. #2848C22semidirect
74. #2847C22semidirect
75. #2847C22semidirect
76. #2826C22semidirect
77. #2825C22semidirect
78. #2803C22semidirect
79. #2801C22semidirect
80. #2780C22semidirect
81. #2779C22semidirect
82. #2779C22semidirect
83. #2777C22semidirect
84. #2770C22semidirect
85. #2756C22semidirect
86. #2756C22semidirect
87. #2752C22semidirect
88. #2749C22semidirect
89. #2746C22semidirect
90. #2741C22semidirect
91. #2739C22semidirect
92. #2735C22semidirect
93. #2727C22semidirect
94. #2714C22semidirect
95. #2711C22semidirect
96. #2711C22semidirect
97. #2705C22semidirect
98. #2705C22semidirect
99. #2703C22semidirect
100. #2699C22semidirect
101. #2697C22semidirect
102. #2694C22semidirect
103. #2685C22semidirect
104. #2685C22semidirect
105. #2685C22semidirect
106. #2678C22semidirect
107. #2678C22semidirect
108. #2671C22semidirect
109. #2668C22semidirect
110. #2649C22semidirect
111. #2648C22semidirect
112. #2645C22semidirect
113. #2641C22semidirect
114. #2636C22semidirect
115. #2636C22semidirect
116. #2635C22semidirect
117. #2635C22semidirect
118. #2624C22semidirect
119. #2620C22semidirect
120. #2593C22semidirect
121. #2591C22semidirect
122. #2587C22semidirect
123. #2576C22semidirect
124. #2566C22semidirect
125. #2562C22semidirect
126. #2562C22semidirect
127. #2559C22semidirect
128. #2552C22semidirect
129. #2552C22semidirect
130. #2548C22semidirect
131. #2548C22semidirect
132. #2547C22semidirect
133. #2542C22semidirect
134. #2541C22semidirect
135. #2540C22semidirect
136. #2540C22semidirect
137. #2540C22semidirect
138. #2539C22semidirect
139. #2538C22semidirect
140. #2538C22semidirect
141. #2538C22semidirect
142. #2538C22semidirect
143. #2537C22semidirect
144. #2537C22semidirect
145. #2537C22semidirect
146. #2519C22semidirect
147. #2518C22semidirect
148. #2516C22semidirect
149. #2512C22semidirect
150. #2512C22semidirect
151. #2510C22semidirect
152. #2509C22semidirect
153. #2506C22semidirect
154. #2501C22semidirect
155. #2500C22semidirect
156. #2500C22semidirect
157. #2498C22semidirect
158. #2497C22semidirect
159. #2495C22semidirect
160. #2494C22semidirect
161. #2490C22semidirect
162. #2490C22semidirect
163. #2490C22semidirect
164. #2489C22semidirect
165. #2487C22semidirect
166. #2487C22semidirect
167. #2487C22semidirect
168. #2485C22semidirect
169. #2480C22semidirect
170. #2480C22semidirect
171. #2479C22semidirect
172. #2476C22semidirect
173. #2467C22semidirect
174. #2467C22semidirect
175. #2466C22semidirect
176. #2464C22semidirect
177. #2454C22semidirect
178. #2454C22semidirect
179. #2448C22semidirect
180. #2448C22semidirect
181. #2447C22semidirect
182. #2444C22semidirect
183. #2442C22semidirect
184. #2441C22semidirect
185. #2441C22semidirect
187. #2435C22semidirect
188. #2435C22semidirect
189. #2431C22semidirect
190. #2428C22semidirect
191. #2428C22semidirect
193. #2427C22semidirect
194. #2427C22semidirect
195. #2426C22semidirect
196. #2425C22semidirect
197. #2425C22semidirect
198. #2424C22semidirect
199. #2424C22semidirect
200. #2423C22semidirect
201. #2422C22semidirect
202. #2420C22semidirect
203. #2418C22semidirect
204. #2418C22semidirect
205. #2417C22semidirect
207. #2416C22semidirect
208. #2415C22semidirect
209. #2414C22semidirect
210. #2414C22semidirect
211. #2414C22semidirect
212. #2414C22semidirect
213. #2414C22semidirect
214. #2414C22semidirect
215. #2411C22semidirect
216. #2411C22semidirect
217. #2411C22semidirect
220. #2408C22semidirect
221. #2408C22semidirect
222. #2408C22semidirect
223. #2408C22semidirect
224. #2407C22semidirect
225. #2405C22semidirect
226. #2405C22semidirect
227. #2403C22semidirect
228. #2377C22semidirect
229. #2375C22semidirect
230. #2374C22semidirect
231. #2367C22semidirect
232. #2366C22semidirect
233. #2365C22semidirect
235. #2363C22semidirect
236. #2362C22semidirect
237. #2361C22semidirect
238. #2360C22semidirect
239. #2360C22semidirect
240. #2359C22semidirect
241. #2354C22semidirect
242. #2354C22semidirect
243. #2354C22semidirect
244. #2354C22semidirect
245. Q8×C4⋊C4C22semidirect
246. D4×C4⋊C4C22semidirect
247. #2347C22semidirect
248. #2342C22semidirect
249. #2341C22semidirect
250. D4×C22⋊C4C22semidirect
251. D4×C22⋊C4C22semidirect
252. D4×C22⋊C4C22semidirect
253. #2335C22semidirect
254. #2326C22semidirect
255. #2324C22semidirect
256. #2324C22semidirect
257. #2323C22semidirect
258. #2321C22semidirect
259. #2321C22semidirect
260. #2319C22semidirect
261. #2312C22semidirect
262. #2309C22semidirect
263. C4×C22⋊Q8C22semidirect
264. C4×C22⋊Q8C22semidirect
265. C4×#123C22semidirect
271. C4×#121C22semidirect
272. C4×#121C22semidirect
273. C4×#121C22semidirect
274. C4×#121C22semidirect
275. C4×#121C22semidirect
276. C4×#121C22semidirect
277. C4×#121C22semidirect
278. C4×#121C22semidirect
279. C4×#121C22semidirect
280. C4×#121C22semidirect
281. C4×#121C22semidirect
282. C4×#121C22semidirect
283. C4×#121C22semidirect
284. C4×#120C22semidirect
285. #2297C22semidirect
287. C2×#389C22semidirect
288. #2290C22semidirect
289. #2290C22semidirect
290. C2×#388C22semidirect
291. C2×#386C22semidirect
292. #2285C22semidirect
293. #2285C22semidirect
294. #2283C22semidirect
295. #2280C22semidirect
296. C2×#380C22semidirect
297. C2×C4×C4⋊C4C22semidirect
298. C2×C4×C22⋊C4C22semidirect

Maximal subgroups

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

subgroupindex
#592282
#592142
#590492
#590352
#590222
#590042
#456422
#455922
#455632
#401702
#401692
#401572
#392202
#391462
#391362
#390302
#389422
#389102
#381642
#381252
#380842
#374982
#369052
#366242
#366212
#362082
#361862
#361612
#361172
#361072
D4×#1212
#352362
#350762
#344782
C2×C4×#1212