Finite Group Databasebeta

← #8425238

Subgroups — #8425238

Order 512.

5464 conjugacy classes of subgroups.

The subgroup lattice has 1890 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59821C211yesmaximal, characteristic, complemented
2#59646C212yesmaximal, complemented
3#59050C211yesmaximal, characteristic, complemented
4#59035C211yesmaximal, characteristic, complemented
5#59017C212yesmaximal, complemented
6#58160C214yesmaximal, complemented
7#57499C214yesmaximal, complemented
8#53129C212yesmaximal, complemented
9#53102C212yesmaximal, complemented
10#53044C212yesmaximal, complemented
11#52986C212yesmaximal, complemented
12#52633C214yesmaximal, complemented
13#42987C212yesmaximal, complemented
14#42974C212yesmaximal, complemented
15#42761C212yesmaximal, complemented
16#42515C212yesmaximal, complemented
17#41289C214yesmaximal, complemented
18#40164C212yesmaximal, complemented
19#39885C212yesmaximal, complemented
20#39342C211yesmaximal, characteristic, complemented
21#39201C211yesmaximal, characteristic, complemented
22#39066C212yesmaximal, complemented
23#38953C211yesmaximal, characteristic, complemented
24#38942C211yesmaximal, characteristic, complemented
25#37658C212yesmaximal, complemented
26#37634C211yesmaximal, characteristic, complemented
27#37627C211yesmaximal, characteristic, complemented
28#37591C212yesmaximal, complemented
29#37445C212yesmaximal, complemented
30#36459C211yesmaximal, characteristic, complemented
31#36160C211yesmaximal, characteristic, complemented
32#36150C211yesmaximal, characteristic, complemented
33#34936C211yesmaximal, characteristic, complemented
34#34800C211yesmaximal, characteristic, complemented
35#34681C211yesmaximal, characteristic, complemented
36C2×#556C2212yescomplemented
37C2×#555C2211yescharacteristic
38C2×#546C2212yes—
39C2×D42C2211yescharacteristic, complemented
40C2×#535C2212yescomplemented
41C2×#533C2211yescharacteristic, complemented
42C2×#532C2211yescharacteristic
43C2×#532C2211yescharacteristic
44C2×#525C2212yescomplemented
45C2×#525C2212yescomplemented
46C2×#525C2212yescomplemented
47C22×C4×D4C2211yescharacteristic, complemented
48#2860C2212yescomplemented
49#2858C2211yescharacteristic, complemented
50#2857C2211yescharacteristic, complemented
51#2856C2211yescharacteristic, complemented
52#2847C2212yes—
53#2837C2214yescomplemented
54#2837C2214yescomplemented
55#2830C2214yescomplemented
56#2829C2214yescomplemented
57#2829C2214yescomplemented
58#2828C2214yescomplemented
59#2828C2214yescomplemented
60#2828C2214yescomplemented
61#2818C2214yescomplemented
62#2816C2214yescomplemented
63#2813C2214yescomplemented
64#2812C2214yescomplemented
65#2812C2214yescomplemented
66#2812C2214yescomplemented
67#2803C2214yescomplemented
68#2803C2214yescomplemented
69#2756C2214yescomplemented
70#2756C2214yescomplemented
71#2753C2214yescomplemented
72#2752C2214yescomplemented
73#2742C2214yescomplemented
74#2738C2214yescomplemented
75#2735C2214yescomplemented
76#2730C2214yescomplemented
77#2727C2214yescomplemented
78#2714C2214yescomplemented
79#2712C2214yescomplemented
80#2710C2214yescomplemented
81#2705C2214yescomplemented
82#2701C2214yescomplemented
83#2699C2214yescomplemented
84#2697C2214yescomplemented
85#2685C2214yescomplemented
86#2685C2214yescomplemented
87#2685C2214yescomplemented
88#2685C2214yescomplemented
89#2685C2214yescomplemented
90#2679C2214yescomplemented
91#2679C2214yescomplemented
92#2678C2214yescomplemented
93#2678C2214yescomplemented
94#2672C2214yescomplemented
95#2670C2214yescomplemented
96#2670C2214yescomplemented
97#2670C2214yescomplemented
98#2670C2214yescomplemented
99#2670C2214yescomplemented
100#2670C2214yescomplemented
101#2669C2214yescomplemented
102#2669C2214yescomplemented
103#2668C2214yes—
104#2663C2214yescomplemented
105#2662C2214yescomplemented
106#2661C2214yescomplemented
107#2660C2212yescomplemented
108#2651C2214yescomplemented
109#2651C2214yescomplemented
110#2651C2214yescomplemented
111#2641C2212yes—
112#2641C2212yescomplemented
113#2638C2214yescomplemented
114#2635C2214yescomplemented
115#2632C2214yescomplemented
116#2632C2214yescomplemented
117#2630C2214yescomplemented
118#2629C2212yescomplemented
119#2625C2212yescomplemented
120#2624C2212yescomplemented
121#2624C2212yescomplemented
122#2620C2212yescomplemented
123#2619C2212yes—
124#2616C2212yescomplemented
125#2616C2212yescomplemented
126#2615C2212yescomplemented
127#2602C2214yescomplemented
128#2602C2214yescomplemented
129#2602C2214yescomplemented
130#2580C2212yescomplemented
131#2563C2211yescharacteristic, complemented
132#2563C2211yescharacteristic, complemented
133#2560C2214yescomplemented
134#2554C2214yescomplemented
135#2552C2211yescharacteristic, complemented
136#2548C2212yes—
137#2548C2212yescomplemented
138#2548C2214yescomplemented
139#2547C2211yescharacteristic, complemented
140#2542C2211yescharacteristic, complemented
141#2542C2211yescharacteristic, complemented
142#2542C2211yescharacteristic, complemented
143#2541C2211yescharacteristic
144#2541C2211yescharacteristic
145#2541C2212yes—
146#2540C2212yescomplemented
147#2540C2212yescomplemented
148#2540C2212yescomplemented
149#2540C2212yescomplemented
150#2539C2214yescomplemented
151#2538C2212yescomplemented
152#2537C2212yes—
153#2537C2211yescharacteristic
154#2537C2212yescomplemented
155#2536C2212yescomplemented
156#2536C2212yescomplemented
157#2534C2214yescomplemented
158#2532C2212yescomplemented
159#2532C2214yescomplemented
160#2526C2212yescomplemented
161#2518C2212yescomplemented
162#2513C2214yescomplemented
163#2513C2212yescomplemented
164#2513C2211yescharacteristic, complemented
165#2512C2212yescomplemented
166#2512C2212yescomplemented
167#2508C2211yescharacteristic, complemented
168#2501C2212yescomplemented
169#2500C2211yescharacteristic
170#2500C2212yescomplemented
171#2500C2212yescomplemented
172#2500C2212yescomplemented
173#2500C2212yescomplemented
174#2497C2212yescomplemented
175#2497C2211yescharacteristic, complemented
176#2496C2212yescomplemented
177#2495C2212yescomplemented
178#2491C2212yescomplemented
179#2491C2212yescomplemented
180#2491C2211yescharacteristic, complemented
181#2490C2212yes—
182#2490C2212yescomplemented
183#2490C2212yescomplemented
184#2490C2212yescomplemented
185#2490C2212yescomplemented
186#2485C2212yescomplemented
187#2485C2211yescharacteristic, complemented
188#2485C2212yescomplemented
189#2472C2212yescomplemented
190#2472C2214yescomplemented
191#2468C2214yescomplemented
192#2467C2214yescomplemented
193#2464C2212yescomplemented
194#2461C2214yescomplemented
195#2461C2212yescomplemented
196#2459C2214yescomplemented
197#2459C2214yescomplemented
198#2459C2212yescomplemented
199#2458C2214yescomplemented
200#2454C2212yescomplemented
201#2452C2211yescharacteristic, complemented
202#2448C2212yescomplemented
203#2448C2214yescomplemented
204#2448C2214yescomplemented
205#2445C2211yescharacteristic
206#2445C2214yescomplemented
207#2445C2212yescomplemented
208#2441C2212yescomplemented
209#2440C2211yescharacteristic, complemented
210#2439C2211yescharacteristic, complemented
211#2435C2212yescomplemented
212#2433C2212yes—
213#2433C2211yescharacteristic
214#2433C2212yes—
215#2433C2212yescomplemented
216#2428C2211yescharacteristic
217#2428C2212yescomplemented
218#2427C2212yescomplemented
219#2427C2212yescomplemented
220#2426C2212yescomplemented
221#2426C2212yescomplemented
222#2426C2212yescomplemented
223#2426C2212yescomplemented
224#2424C2214yescomplemented
225#2424C2212yescomplemented
226#2423C2212yescomplemented
227#2422C2212yescomplemented
228#2422C2211yescharacteristic, complemented
229#2422C2212yescomplemented
230#2420C2212yescomplemented
231#2420C2212yescomplemented
232#2418C2214yescomplemented
233#2418C2214yescomplemented
234#2416C2211yescharacteristic
235#2415C2212yescomplemented
236#2415C2212yescomplemented
237#2415C2212yescomplemented
238#2414C2211yescharacteristic
239#2414C2212yes—
240#2414C2212yescomplemented
241#2414C2212yescomplemented
242#2414C2212yescomplemented
243#2414C2212yescomplemented
244#2414C2212yescomplemented
245#2414C2212yescomplemented
246#2408C2212yes—
247#2408C2212yescomplemented
248#2408C2212yescomplemented
249#2408C2212yescomplemented
250#2408C2211yescharacteristic, complemented
251#2408C2212yescomplemented
252#2408C2212yescomplemented
253#2407C2212yes—
254#2407C2212yescomplemented
255#2398C2212yescomplemented
256#2397C2214yescomplemented
257#2392C2212yescomplemented
258#2392C2212yescomplemented
259#2388C2212yescomplemented
260#2369C2211yescharacteristic, complemented
261#2367C2212yescomplemented
262#2367C2214yescomplemented
263#2366C2211yescharacteristic, complemented
264#2363C2212yescomplemented
265#2363C2212yescomplemented
266#2362C2212yescomplemented
267#2354C2212yescomplemented
268#2354C2211yescharacteristic, complemented
269#2354C2211yescharacteristic, complemented
270#2354C2212yescomplemented
271#2352C2212yescomplemented
272Q8×C4⋊C4C2212yescomplemented
273#2347C2212yescomplemented
274#2341C2212yescomplemented
275D4×C22⋊C4C2212yescomplemented
276#2324C2212yescomplemented
277#2321C2214yescomplemented
278#2319C2212yescomplemented
279#2309C2212yescomplemented
280C4×C4⋊Q8C2211yescharacteristic, complemented
281C4×C4⋊Q8C2211yescharacteristic, complemented
282C4×#127C2211yescharacteristic
283C4×#127C2212yescomplemented
284C4×#127C2212yescomplemented
285C4×#125C2212yescomplemented
286C4×#124C2212yescomplemented
287C4×#121C2211yescharacteristic
288C4×#121C2211yescharacteristic
289C4×#121C2211yescharacteristic, complemented
290C4×#121C2211yescharacteristic, complemented
291C4×#120C2212yescomplemented
292#2298C2212yescomplemented
293#2293C2211yescharacteristic, complemented
294#2293C2211yescharacteristic, complemented
295#2283C2211yescharacteristic, complemented
296#2280C2212yescomplemented
297C42×D4C2211yescharacteristic, complemented
298C4×#117C2211yescharacteristic, complemented
299C22×#41C2312yes—
300C22×#41C2312yes—
301C23×D4C2312yes—
302C23×D4C2311yescharacteristic
303C23×D4C2312yes—
304C24×C4C2312yes—
305#556—48no—
306#555—44no—
307#546—48no—
308D42—44no—
309#535—48no—
310#533—44no—
311#532—44no—
312#532—44no—
313C2×C4⋊Q8C2311yescharacteristic
314C2×C4⋊Q8C2311yescharacteristic
315C2×C4⋊Q8C2311yescharacteristic
316C2×C4⋊Q8C2311yescharacteristic
317C2×#127C2311yescharacteristic
318C2×#127C2311yescharacteristic
319C2×#127C2312yes—
320C2×#127C2312yes—
321C2×#127C2314yes—
322C2×#127C2311yescharacteristic
323C2×#126C2314yes—
324C2×#126C2314yes—
325C2×#126C2314yes—
326C2×#125C2312yes—
327C2×#125C2312yes—
328C2×#124C2312yes—
329C2×#124C2312yes—
330C2×#124C2314yes—
331C2×#124C2312yes—
332C2×#124C2314yes—
333C2×#124C2314yes—
334C2×#124C2314yes—
335C2×#124C2312yes—
336C2×#124C2312yes—
337C2×#124C2312yes—
338#525—48no—
339#525—48no—
340#525—48no—
341C2×#123C2312yes—
342C2×#123C2312yes—
343C2×#123C2314yes—
344C2×#123C2314yes—
345C2×#123C2314yes—
346C2×#123C2314yes—
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2312yes—
357C2×C22⋊Q8C2312yes—
358C2×#121C2312yes—
359C2×#121C2311yescharacteristic
360C2×#121C2311yescharacteristic
361C2×#121C2312yes—
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2312yes—
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2312yes—
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2311yescharacteristic
374C2×#121C2312yes—
375C2×#121C2311yescharacteristic
376C2×#121C2312yes—
377C2×#121C2312yes—
378C2×#121C2311yescharacteristic
379C2×#121C2311yescharacteristic
380C2×#121C2312yes—
381C2×#121C2314yes—
382C2×#121C2312yes—
383C2×#121C2314yes—
384C2×#120C2314yes—
385C2×#120C2314yes—
386C2×#120C2312yes—
387C2×#120C2314yes—
388C2×#120C2314yes—
389C2×#120C2314yes—
390C2×#120C2312yes—
391C2×#120C2314yes—
392C2×#120C2314yes—
393C2×#120C2312yes—
394C2×#120C2314yes—
395C2×#120C2314yes—
396C2×#120C2314yes—
397C2×C4×Q8C2312yes—
398C2×C4×Q8C2312yes—
399C2×C4×Q8C2312yes—
400C2×C4×Q8C2314yes—
401C2×C4×Q8C2312yes—
402C2×C4×D4—44no—
403C2×C4×D4C2311yescharacteristic
404C2×C4×D4C2311yescharacteristic
405C2×C4×D4C2311yescharacteristic
406C2×C4×D4C2312yes—
407C2×C4×D4C2311yescharacteristic
408C2×C4×D4C2311yescharacteristic
409C2×C4×D4C2312yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2311yescharacteristic
413C2×C4×D4C2311yescharacteristic
414C2×C4×D4C2314yes—
415C2×C4×D4C2314yes—
416C2×C4×D4C2314yes—
417C2×C4×D4C2314yes—
418C2×C4×D4C2312yes—
419C2×C4×D4C2312yes—
420C2×C4×D4C2312yes—
421C2×C4×D4C2312yes—
422C2×C4×D4C2312yes—
423C2×C4×D4C2312yes—
424C2×C4×D4C2312yes—
425C2×C4×D4C2311yescharacteristic
426C2×C4×D4C2312yes—
427C2×C4×D4C2312yes—
428C2×C4×D4C2311yescharacteristic
429C2×#117C2312yes—
430C2×#117C2311yescharacteristic
431C2×#117C2311yescharacteristic
432C2×#117C2312yes—
433C2×#117C2312yes—
434C2×#117C2312yes—
435C2×#117C2312yes—
436C2×#117C2312yes—
437C2×#117C2312yes—
438C22×C4⋊C4C2311yescharacteristic
439C22×C22⋊C4C2314yes—
440C22×C22⋊C4C2312yes—
441C22×C42C2311yescharacteristic
442C22×C42C2311yescharacteristic
443#400C2312yes—
444#400C2312yes—
445#400C2314yes—
446#400C2314yes—
447#399C2314yes—
448#399C2314yes—
449#399C2314yes—
450#399C2314yes—
451#399C2314yes—
452#399C2314yes—
453#399C2314yes—
454#399C2314yes—
455#399C2314yes—
456#398C2314yes—
457#398C2314yes—
458#398C2314yes—
459#398C2314yes—
460#398C2312yes—
461#398C2314yes—
462#398C2312yes—
463#397C2314yes—
464#397C2312yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2312yes—
475#397C2314yes—
476#397C2314yes—
477#397C2314yes—
478#397C2312yes—
479#397C2314yes—
480#397C2312yes—
481#396C2312yes—
482#396C2312yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#396C2314yes—
487#396C2314yes—
488#396C2314yes—
489#396C2314yes—
490#396C2312yes—
491#396C2312yes—
492#395C2314yes—
493#395C2314yes—
494#395C2312yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2312yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2312yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2312yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#394C2314yes—
536#394C2312yes—
537#394C2312yes—
538#394C2312yes—
539#394C2312yes—
540#394C2312yes—
541#394C2312yes—
542#394C2314yes—
543#394C2312yes—
544#394C2312yes—
545#394C2314yes—
546#394C2314yes—
547#393C2314yes—
548#393C2314yes—
549#393C2312yes—
550#393C2314yes—
551#393C2314yes—
552#393C2312yes—
553#393C2312yes—
554#392C2312yes—
555#392C2314yes—
556#392C2314yes—
557#392C2314yes—
558#392C2314yes—
559#392C2314yes—
560#392C2312yes—
561#392C2312yes—
562#392C2314yes—
563#392C2314yes—
564#392C2314yes—
565#392C2314yes—
566#392C2314yes—
567#392C2314yes—
568#392C2314yes—
569#392C2314yes—
570#392C2314yes—
571#392C2312yes—
572#392C2312yes—
573#392C2314yes—
574#392C2314yes—
575#392C2314yes—
576#392C2314yes—
577#391C2314yes—
578#391C2312yes—
579#391C2312yes—
580#391C2312yes—
581#391C2312yes—
582#391C2312yes—
583#390C2314yes—
584#390C2311yescharacteristic
585#390C2311yescharacteristic
586#390C2312yes—
587#390C2312yes—
588#390C2312yes—
589#390C2314yes—
590#390C2312yes—
591#390C2312yes—
592#390C2314yes—
593#390C2312yes—
594#390C2314yes—
595#390C2314yes—
596#390C2312yes—
597#390C2312yes—
598#390C2314yes—
599#390C2314yes—
600#390C2312yes—
601#390C2314yes—
602#390C2314yes—
603#390C2314yes—
604#390C2312yes—
605#390C2312yes—
606#390C2312yes—
607#390C2311yescharacteristic
608#390C2312yes—
609#390C2312yes—
610#390C2312yes—
611#390C2314yes—
612#390C2314yes—
613#390C2312yes—
614#390C2314yes—
615#390C2314yes—
616#390C2312yes—
617#390C2312yes—
618#390C2314yes—
619#390C2314yes—
620#390C2314yes—
621#390C2311yescharacteristic
622#390C2312yes—
623#390C2312yes—
624#390C2314yes—
625#390C2311yescharacteristic
626#390C2311yescharacteristic
627#390C2314yes—
628#390C2311yescharacteristic
629#390C2311yescharacteristic
630#390C2311yescharacteristic
631#390C2312yes—
632#390C2311yescharacteristic
633#389C2311yescharacteristic
634#389C2312yes—
635#389C2311yescharacteristic
636#389C2312yes—
637#389C2311yescharacteristic
638#389C2312yes—
639#389C2312yes—
640#389C2311yescharacteristic
641#389C2312yes—
642#389C2311yescharacteristic
643#389C2312yes—
644#389C2314yes—
645#389C2312yes—
646#389C2314yes—
647#389C2314yes—
648#389C2312yes—
649#389C2314yes—
650#389C2311yescharacteristic
651#389C2312yes—
652#389C2311yescharacteristic
653#389C2311yescharacteristic
654#389C2311yescharacteristic
655#389C2311yescharacteristic
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2312yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2312yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2312yes—
675#388C2312yes—
676#388C2314yes—
677#388C2312yes—
678#388C2314yes—
679#388C2314yes—
680#388C2314yes—
681#388C2314yes—
682#388C2314yes—
683#388C2314yes—
684#388C2314yes—
685#388C2314yes—
686#388C2314yes—
687#388C2314yes—
688#388C2314yes—
689#388C2312yes—
690#388C2314yes—
691#388C2312yes—
692#388C2312yes—
693#388C2314yes—
694#388C2314yes—
695#388C2312yes—
696#388C2314yes—
697#388C2312yes—
698#388C2312yes—
699#388C2312yes—
700#388C2312yes—
701#388C2312yes—
702#388C2312yes—
703#388C2312yes—
704#387C2314yes—
705#387C2314yes—
706#387C2314yes—
707#387C2312yes—
708#387C2312yes—
709#387C2314yes—
710#387C2312yes—
711#387C2314yes—
712#387C2312yes—
713#386C2312yes—
714#386C2312yes—
715#386C2314yes—
716#386C2314yes—
717#386C2314yes—
718#386C2314yes—
719#386C2314yes—
720#386C2314yes—
721#386C2314yes—
722#386C2314yes—
723#386C2314yes—
724#386C2312yes—
725#386C2312yes—
726#386C2312yes—
727#386C2312yes—
728#386C2312yes—
729#385C2314yes—
730#385C2314yes—
731#385C2312yes—
732#385C2314yes—
733#385C2314yes—
734#385C2312yes—
735#385C2312yes—
736#384C2311yescharacteristic
737#384C2312yes—
738#384C2312yes—
739#384C2311yescharacteristic
740#384C2311yescharacteristic
741#384C2312yes—
742#384C2312yes—
743#383C2314yes—
744#383C2312yes—
745#382C2312yes—
746#382C2312yes—
747#382C2311yescharacteristic
748#382C2311yescharacteristic
749#382C2312yes—
750#381C2312yes—
751#381C2314yes—
752#381C2314yes—
753#380C2312yes—
754#380C2312yes—
755#380C2312yes—
756#380C2312yes—
757#380C2314yes—
758#380C2312yes—
759#380C2312yes—
760#380C2312yes—
761#380C2314yes—
762#380C2312yes—
763#380C2312yes—
764#380C2311yescharacteristic
765#380C2312yes—
766#380C2312yes—
767#380C2311yescharacteristic
768#380C2312yes—
769#380C2311yescharacteristic
770#380C2311yescharacteristic
771#380C2311yescharacteristic
772#380C2311yescharacteristic
773#380C2314yes—
774#379C2314yes—
775#379C2314yes—
776#379C2314yes—
777#379C2314yes—
778#379C2314yes—
779#379C2314yes—
780#379C2312yes—
781C4×C4⋊C4C2314yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2314yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2314yes—
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2311yescharacteristic
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2311yescharacteristic
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2311yescharacteristic
817C4×C22⋊C4C2311yescharacteristic
818#376C2312yes—
819#376C2312yes—
820C43C2312yes—
821C43C2311yescharacteristic
822C25C2412yes—
823C25C2414yes—
824C2×#41—28no—
825C2×#41—44no—
826C2×#41—44no—
827C2×#41—44no—
828C2×#41—44no—
829C2×#41—44no—
830C22×Q8C2412yes—
831C22×Q8C2412yes—
832C22×Q8C2412yes—
833C22×Q8C2412yes—
834C22×D4—42no—
835C22×D4—42no—
836C22×D4—42no—
837C22×D4—44no—
838C22×D4—44no—
839C22×D4—44no—
840C22×D4—44no—
841C22×D4—44no—
842C22×D4—44no—
843C22×D4C2411yescharacteristic
844C22×D4C2411yescharacteristic
845C22×D4C2412yes—
846C22×D4C2411yescharacteristic
847C22×D4C2412yes—
848C22×D4C2411yescharacteristic
849C22×D4C2411yescharacteristic
850C22×D4C2412yes—
851C22×D4C2412yes—
852C22×D4C2412yes—
853C22×D4C2412yes—
854C22×D4C2414yes—
855C22×D4C2412yes—
856C22×D4C2414yes—
857C22×D4C2412yes—
858C22×D4C2412yes—
859C22×D4C2412yes—
860C22×D4C2414yes—
861C22×D4C2414yes—
862C22×D4C2414yes—
863C22×D4C2412yes—
864C22×D4C2414yes—
865C22×D4C2414yes—
866C22×D4C2412yes—
867C22×D4C2412yes—
868C22×D4C2414yes—
869C22×D4C2414yes—
870C22×D4C2412yes—
871C22×D4C2414yes—
872C23×C4—28no—
873C23×C4—44no—
874C23×C4—44no—
875C23×C4C2411yescharacteristic
876C23×C4C2412yes—
877C23×C4C2411yescharacteristic
878C23×C4C2412yes—
879C23×C4C2412yes—
880C23×C4C2412yes—
881C23×C4C2411yescharacteristic
882C23×C4C2411yescharacteristic
883C23×C4C2411yescharacteristic
884C23×C4C2412yes—
885C23×C4C2414yes—
886C23×C4C2412yes—
887C23×C4C2412yes—
888C23×C4C2411yescharacteristic
889C23×C4C2414yes—
890C4⋊Q8—24no—
891C4⋊Q8—24no—
892C4⋊Q8—24no—
893C4⋊Q8—42no—
894#127—24no—
895#127—44no—
896#127—44no—
897#127—42no—
898#127—42no—
899#127—48no—
900#126—48no—
901#126—48no—
902#126—84no—
903#125—44no—
904#125—44no—
905#124—44no—
906#124—44no—
907#124—48no—
908#124—44no—
909#124—44no—
910#124—44no—
911#124—48no—
912#124—48no—
913#124—48no—
914#124—82no—
915#123—48no—
916#123—44no—
917#123—44no—
918#123—48no—
919#123—48no—
920#123—84no—
921C22⋊Q8—28no—
922C22⋊Q8—44no—
923C22⋊Q8—44no—
924C22⋊Q8—44no—
925C22⋊Q8—44no—
926C22⋊Q8—44no—
927C22⋊Q8—44no—
928C22⋊Q8—44no—
929C22⋊Q8—44no—
930C22⋊Q8—44no—
931C22⋊Q8—82no—
932#121—24no—
933#121—28no—
934#121—24no—
935#121—44no—
936#121—44no—
937#121—48no—
938#121—42no—
939#121—44no—
940#121—44no—
941#121—42no—
942#121—44no—
943#121—44no—
944#121—44no—
945#121—42no—
946#121—44no—
947#121—42no—
948#121—44no—
949#121—44no—
950#121—44no—
951#121—44no—
952#121—44no—
953#121—44no—
954#121—44no—
955#121—44no—
956#121—82no—
957#121—84no—
958#120—44no—
959#120—48no—
960#120—48no—
961#120—48no—
962#120—48no—
963#120—48no—
964#120—48no—
965#120—44no—
966#120—44no—
967#120—48no—
968#120—84no—
969#120—84no—
970#120—84no—
971C4×Q8—44no—
972C4×Q8—44no—
973C4×Q8—44no—
974C4×Q8—48no—
975C4×Q8—44no—
976C4×D4—24no—
977C4×D4—28no—
978C4×D4—24no—
979C4×D4—24no—
980C4×D4—24no—
981C4×D4—24no—
982C4×D4—44no—
983C4×D4—42no—
984C4×D4—48no—
985C4×D4—42no—
986C4×D4—42no—
987C4×D4—44no—
988C4×D4—48no—
989C4×D4—44no—
990C4×D4—44no—
991C4×D4—44no—
992C4×D4—44no—
993C4×D4—42no—
994C4×D4—44no—
995C4×D4—44no—
996C4×D4—48no—
997C4×D4—48no—
998C4×D4—44no—
999C4×D4—44no—
1000C4×D4—44no—
1001C4×D4—44no—
1002#117—24no—
1003#117—24no—
1004#117—28no—
1005#117—44no—
1006#117—44no—
1007#117—44no—
1008#117—44no—
1009#117—44no—
1010#117—44no—
1011C2×C4⋊C4—42no—
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C4⋊C4C2411yescharacteristic
1023C2×C4⋊C4C2411yescharacteristic
1024C2×C4⋊C4C2411yescharacteristic
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2411yescharacteristic
1028C2×C4⋊C4C2411yescharacteristic
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2411yescharacteristic
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2411yescharacteristic
1047C2×C4⋊C4C2411yescharacteristic
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2414yes—
1051C2×C4⋊C4C2414yes—
1052C2×C4⋊C4C2414yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2414yes—
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2414yes—
1059C2×C4⋊C4C2414yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2414yes—
1062C2×C4⋊C4C2414yes—
1063C2×C4⋊C4C2414yes—
1064C2×C4⋊C4C2411yescharacteristic
1065C2×C22⋊C4—44no—
1066C2×C22⋊C4—48no—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2411yescharacteristic
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2411yescharacteristic
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2411yescharacteristic
1082C2×C22⋊C4C2411yescharacteristic
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2411yescharacteristic
1118C2×C22⋊C4C2411yescharacteristic
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2412yes—
1152C2×C42—24no—
1153C2×C42—24no—
1154C2×C42C2411yescharacteristic
1155C2×C42C2411yescharacteristic
1156C2×C42C2412yes—
1157C2×C42C2412yes—
1158C2×C42C2412yes—
1159C2×C42C2414yes—
1160C2×C42C2412yes—
1161C2×C42C2411yescharacteristic
1162C2×C42C2411yescharacteristic
1163C2×C42C2411yescharacteristic
1164C2×C42C2411yescharacteristic
1165C2×C42C2412yes—
1166C2×C42C2411yescharacteristic
1167C2×C42C2412yes—
1168C2×C42C2411yescharacteristic
1169C2×C42C2411yescharacteristic
1170C2×C42C2411yescharacteristic
1171C2×C42C2411yescharacteristic
1172C2×C42C2414yes—
1173C2×C42C2414yes—
1174C2×C42C2414yes—
1175C2×C42C2414yes—
1176C2×C42C2411yescharacteristic
1177C2×C42C2412yes—
1178C2×C42C2414yes—
1179C2×C42C2412yes—
1180C2×C42C2411yescharacteristic
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2411yescharacteristic
1190#95C2412yes—
1191#95C2411yescharacteristic
1192#95C2414yes—
1193#95C2411yescharacteristic
1194#95C2411yescharacteristic
1195#95C2411yescharacteristic
1196#95C2411yescharacteristic
1197#95C2412yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2414yes—
1201#95C2414yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2414yes—
1213#95C2414yes—
1214#95C2414yes—
1215#95C2414yes—
1216#95C2414yes—
1217#95C2412yes—
1218#95C2414yes—
1219#95C2414yes—
1220#95C2412yes—
1221#95C2412yes—
1222#95C2414yes—
1223#95C2414yes—
1224#95C2412yes—
1225#95C2414yes—
1226#95C2414yes—
1227#95C2414yes—
1228#95C2414yes—
1229C24—24no—
1230C24—42no—
1231C24—42no—
1232C24—42no—
1233C24—42no—
1234C24—42no—
1235C24—42no—
1236C24—44no—
1237C24—44no—
1238C24—44no—
1239C24—44no—
1240C24—44no—
1241C24—44no—
1242C24—44no—
1243C24C2512yes—
1244C24C2512yes—
1245C24C2512yes—
1246C24C2512yes—
1247C24C2514yes—
1248C24C2511yescharacteristic
1249C24C2511yescharacteristic
1250#41—816no—
1251#41—816no—
1252C2×Q8—24no—
1253C2×Q8—24no—
1254C2×Q8—24no—
1255C2×Q8—24no—
1256C2×Q8—24no—
1257C2×Q8—24no—
1258C2×Q8—42no—
1259C2×Q8—42no—
1260C2×Q8—42no—
1261C2×Q8—42no—
1262C2×Q8—42no—
1263C2×Q8—42no—
1264C2×D4—22no—
1265C2×D4—24no—
1266C2×D4—24no—
1267C2×D4—28no—
1268C2×D4—22no—
1269C2×D4—22no—
1270C2×D4—22no—
1271C2×D4—22no—
1272C2×D4—24no—
1273C2×D4—24no—
1274C2×D4—22no—
1275C2×D4—24no—
1276C2×D4—22no—
1277C2×D4—24no—
1278C2×D4—28no—
1279C2×D4—24no—
1280C2×D4—24no—
1281C2×D4—24no—
1282C2×D4—22no—
1283C2×D4—22no—
1284C2×D4—24no—
1285C2×D4—22no—
1286C2×D4—22no—
1287C2×D4—22no—
1288C2×D4—22no—
1289C2×D4—24no—
1290C2×D4—42no—
1291C2×D4—41no—
1292C2×D4—41no—
1293C2×D4—42no—
1294C2×D4—42no—
1295C2×D4—42no—
1296C2×D4—42no—
1297C2×D4—44no—
1298C2×D4—44no—
1299C2×D4—44no—
1300C2×D4—42no—
1301C2×D4—42no—
1302C2×D4—42no—
1303C2×D4—42no—
1304C2×D4—42no—
1305C2×D4—42no—
1306C2×D4—44no—
1307C2×D4—44no—
1308C2×D4—44no—
1309C2×D4—42no—
1310C2×D4—42no—
1311C2×D4—42no—
1312C2×D4—44no—
1313C2×D4—42no—
1314C2×D4—42no—
1315C2×D4—42no—
1316C2×D4—42no—
1317C2×D4—44no—
1318C2×D4—44no—
1319C2×D4—44no—
1320C2×D4—42no—
1321C2×D4—42no—
1322C2×D4—42no—
1323C2×D4—44no—
1324C2×D4—42no—
1325C2×D4—42no—
1326C2×D4—42no—
1327C2×D4—42no—
1328C2×D4—44no—
1329C2×D4—42no—
1330C2×D4—42no—
1331C2×D4—42no—
1332C2×D4—44no—
1333C2×D4—42no—
1334C2×D4—44no—
1335C2×D4—42no—
1336C2×D4—44no—
1337C2×D4—44no—
1338C2×D4—44no—
1339C2×D4—42no—
1340C2×D4—44no—
1341C2×D4—44no—
1342C2×D4—44no—
1343C2×D4—44no—
1344C2×D4—44no—
1345C2×D4—44no—
1346C2×D4—44no—
1347C2×D4—44no—
1348C2×D4—44no—
1349C2×D4—44no—
1350C2×D4—44no—
1351C2×D4—416no—
1352C2×D4—816no—
1353C2×D4—816no—
1354C22×C4—22no—
1355C22×C4—22no—
1356C22×C4—24no—
1357C22×C4—22no—
1358C22×C4—22no—
1359C22×C4—22no—
1360C22×C4—24no—
1361C22×C4—24no—
1362C22×C4—24no—
1363C22×C4—24no—
1364C22×C4—24no—
1365C22×C4—24no—
1366C22×C4—22no—
1367C22×C4—24no—
1368C22×C4—24no—
1369C22×C4—24no—
1370C22×C4—22no—
1371C22×C4—24no—
1372C22×C4—24no—
1373C22×C4—22no—
1374C22×C4—22no—
1375C22×C4—24no—
1376C22×C4—22no—
1377C22×C4—22no—
1378C22×C4—22no—
1379C22×C4—22no—
1380C22×C4—28no—
1381C22×C4—24no—
1382C22×C4—24no—
1383C22×C4—42no—
1384C22×C4—42no—
1385C22×C4—42no—
1386C22×C4—42no—
1387C22×C4—42no—
1388C22×C4—44no—
1389C22×C4—44no—
1390C22×C4—41no—
1391C22×C4—41no—
1392C22×C4—41no—
1393C22×C4—41no—
1394C22×C4—42no—
1395C22×C4—44no—
1396C22×C4—44no—
1397C22×C4—44no—
1398C22×C4—816no—
1399C22×C4H(5,𝔽2)14yes—
1400C22×C4C2511yescharacteristic
1401C22×C4C2512yes—
1402C22×C4C2512yes—
1403C22×C4C2511yescharacteristic
1404C22×C4C2512yes—
1405C22×C4C2512yes—
1406C22×C4C2511yescharacteristic
1407C22×C4C2512yes—
1408C22×C4C2512yes—
1409C22×C4C2511yescharacteristic
1410C22×C4C2514yes—
1411C22×C4C2514yes—
1412C22×C4C2511yescharacteristic
1413C22×C4C2512yes—
1414C22×C4C2512yes—
1415C22×C4C2511yescharacteristic
1416C22×C4C2512yes—
1417C22×C4C2512yes—
1418C22×C4C2511yescharacteristic
1419C22×C4C2512yes—
1420C22×C4C2511yescharacteristic
1421C22×C4C2514yes—
1422C22×C4C2511yescharacteristic
1423C22×C4C2511yescharacteristic
1424C22×C4C2512yes—
1425C22×C4C2511yescharacteristic
1426C22×C4C2511yescharacteristic
1427C22×C4C2511yescharacteristic
1428C4⋊C4—22no—
1429C4⋊C4—22no—
1430C4⋊C4—24no—
1431C4⋊C4—22no—
1432C4⋊C4—22no—
1433C4⋊C4—22no—
1434C4⋊C4—22no—
1435C4⋊C4—24no—
1436C4⋊C4—22no—
1437C4⋊C4—24no—
1438C4⋊C4—24no—
1439C4⋊C4—22no—
1440C4⋊C4—22no—
1441C4⋊C4—24no—
1442C4⋊C4—22no—
1443C4⋊C4—24no—
1444C4⋊C4—28no—
1445C4⋊C4—24no—
1446C4⋊C4—22no—
1447C4⋊C4—24no—
1448C4⋊C4—22no—
1449C4⋊C4—42no—
1450C4⋊C4—42no—
1451C4⋊C4—42no—
1452C4⋊C4—42no—
1453C4⋊C4—42no—
1454C4⋊C4—42no—
1455C4⋊C4—41no—
1456C4⋊C4—41no—
1457C4⋊C4—42no—
1458C4⋊C4—42no—
1459C4⋊C4—42no—
1460C4⋊C4—42no—
1461C4⋊C4—42no—
1462C4⋊C4—44no—
1463C4⋊C4—44no—
1464C4⋊C4—44no—
1465C4⋊C4—42no—
1466C4⋊C4—42no—
1467C4⋊C4—42no—
1468C4⋊C4—44no—
1469C4⋊C4—44no—
1470C4⋊C4—44no—
1471C4⋊C4—44no—
1472C4⋊C4—44no—
1473C4⋊C4—42no—
1474C4⋊C4—44no—
1475C4⋊C4—44no—
1476C4⋊C4—42no—
1477C4⋊C4—44no—
1478C4⋊C4—44no—
1479C4⋊C4—44no—
1480C4⋊C4H(5,𝔽2)14yes—
1481C22⋊C4—24no—
1482C22⋊C4—22no—
1483C22⋊C4—24no—
1484C22⋊C4—24no—
1485C22⋊C4—24no—
1486C22⋊C4—24no—
1487C22⋊C4—24no—
1488C22⋊C4—24no—
1489C22⋊C4—28no—
1490C22⋊C4—24no—
1491C22⋊C4—24no—
1492C22⋊C4—22no—
1493C22⋊C4—28no—
1494C22⋊C4—28no—
1495C22⋊C4—24no—
1496C22⋊C4—22no—
1497C22⋊C4—22no—
1498C22⋊C4—24no—
1499C22⋊C4—24no—
1500C22⋊C4—28no—
1501C22⋊C4—42no—
1502C22⋊C4—42no—
1503C22⋊C4—44no—
1504C22⋊C4—44no—
1505C22⋊C4—42no—
1506C22⋊C4—42no—
1507C22⋊C4—42no—
1508C22⋊C4—42no—
1509C22⋊C4—44no—
1510C22⋊C4—44no—
1511C22⋊C4—44no—
1512C22⋊C4—44no—
1513C22⋊C4—41no—
1514C22⋊C4—41no—
1515C22⋊C4—44no—
1516C22⋊C4—42no—
1517C22⋊C4—42no—
1518C22⋊C4—42no—
1519C22⋊C4—42no—
1520C22⋊C4—44no—
1521C22⋊C4—44no—
1522C22⋊C4—44no—
1523C22⋊C4—42no—
1524C22⋊C4—42no—
1525C22⋊C4—44no—
1526C22⋊C4—44no—
1527C22⋊C4—44no—
1528C22⋊C4—44no—
1529C22⋊C4—42no—
1530C22⋊C4—42no—
1531C22⋊C4—42no—
1532C22⋊C4—42no—
1533C22⋊C4—44no—
1534C22⋊C4—44no—
1535C22⋊C4—42no—
1536C22⋊C4—42no—
1537C22⋊C4—42no—
1538C22⋊C4—44no—
1539C22⋊C4—44no—
1540C22⋊C4—44no—
1541C22⋊C4—44no—
1542C22⋊C4—44no—
1543C22⋊C4—42no—
1544C22⋊C4—42no—
1545C22⋊C4—44no—
1546C22⋊C4—44no—
1547C22⋊C4—44no—
1548C22⋊C4—44no—
1549C22⋊C4—44no—
1550C22⋊C4—44no—
1551C22⋊C4—44no—
1552C22⋊C4—44no—
1553C22⋊C4—42no—
1554C22⋊C4—42no—
1555C22⋊C4—44no—
1556C22⋊C4—42no—
1557C22⋊C4—44no—
1558C22⋊C4—42no—
1559C22⋊C4—44no—
1560C22⋊C4—44no—
1561C22⋊C4—44no—
1562C22⋊C4—42no—
1563C22⋊C4—42no—
1564C22⋊C4—44no—
1565C22⋊C4—42no—
1566C42—22no—
1567C42—22no—
1568C42—22no—
1569C42—22no—
1570C42—22no—
1571C42—22no—
1572C42—24no—
1573C42—24no—
1574C42—28no—
1575C42—22no—
1576C42—24no—
1577C42—22no—
1578C42—22no—
1579C42—24no—
1580C42—24no—
1581C42—24no—
1582C42—22no—
1583C42—22no—
1584C42—44no—
1585C42—44no—
1586C42—44no—
1587C42—44no—
1588C42—44no—
1589C42—42no—
1590C42—41no—
1591C42—42no—
1592C42H(5,𝔽2)14yes—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—21no—
1599C23—22no—
1600C23—22no—
1601C23—22no—
1602C23—22no—
1603C23—22no—
1604C23—22no—
1605C23—21no—
1606C23—22no—
1607C23—24no—
1608C23—22no—
1609C23—22no—
1610C23—21no—
1611C23—22no—
1612C23—22no—
1613C23—24no—
1614C23—24no—
1615C23—22no—
1616C23—21no—
1617C23—21no—
1618C23—24no—
1619C23—22no—
1620C23—22no—
1621C23—21no—
1622C23—22no—
1623C23—22no—
1624C23—22no—
1625C23—22no—
1626C23—21no—
1627C23—24no—
1628C23—22no—
1629C23—24no—
1630C23—22no—
1631C23—22no—
1632C23—22no—
1633C23—22no—
1634C23—22no—
1635C23—22no—
1636C23—24no—
1637C23—22no—
1638C23—21no—
1639C23—22no—
1640C23—22no—
1641C23—48no—
1642C23—84no—
1643C23—84no—
1644C23—84no—
1645C23—84no—
1646C23—84no—
1647C23—84no—
1648C23—88no—
1649C23—88no—
1650C23—88no—
1651C23—164no—
1652C23—164no—
1653C23—164no—
1654C23—164no—
1655C23C2×H(5,𝔽2)12yes—
1656C23C2611yescharacteristic
1657Q8—48no—
1658Q8—48no—
1659Q8—84no—
1660Q8—84no—
1661D4—44no—
1662D4—48no—
1663D4—44no—
1664D4—44no—
1665D4—48no—
1666D4—44no—
1667D4—44no—
1668D4—48no—
1669D4—84no—
1670D4—88no—
1671D4—84no—
1672D4—84no—
1673D4—84no—
1674D4—84no—
1675D4—88no—
1676D4—88no—
1677D4—88no—
1678D4—84no—
1679D4—88no—
1680D4—84no—
1681D4—84no—
1682D4—88no—
1683D4—88no—
1684D4—84no—
1685D4—84no—
1686D4—84no—
1687D4—164no—
1688D4—164no—
1689D4—164no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—22no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—22no—
1697C2×C4—21no—
1698C2×C4—28no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—22no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—24no—
1706C2×C4—22no—
1707C2×C4—21no—
1708C2×C4—22no—
1709C2×C4—22no—
1710C2×C4—22no—
1711C2×C4—22no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—22no—
1717C2×C4—24no—
1718C2×C4—22no—
1719C2×C4—24no—
1720C2×C4—24no—
1721C2×C4—21no—
1722C2×C4—22no—
1723C2×C4—22no—
1724C2×C4—22no—
1725C2×C4—22no—
1726C2×C4—21no—
1727C2×C4—22no—
1728C2×C4—24no—
1729C2×C4—22no—
1730C2×C4—22no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—22no—
1734C2×C4—21no—
1735C2×C4—22no—
1736C2×C4—22no—
1737C2×C4—22no—
1738C2×C4—21no—
1739C2×C4—22no—
1740C2×C4—22no—
1741C2×C4—21no—
1742C2×C4—22no—
1743C2×C4—24no—
1744C2×C4—21no—
1745C2×C4—22no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—22no—
1749C2×C4—21no—
1750C2×C4—24no—
1751C2×C4—21no—
1752C2×C4—22no—
1753C2×C4—22no—
1754C2×C4—22no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—22no—
1759C2×C4—22no—
1760C2×C4—21no—
1761C2×C4—24no—
1762C2×C4—22no—
1763C2×C4—24no—
1764C2×C4—22no—
1765C2×C4—44no—
1766C2×C4—44no—
1767C2×C4—48no—
1768C2×C4—48no—
1769C2×C4—48no—
1770C2×C4—48no—
1771C2×C4—44no—
1772C2×C4—82no—
1773C2×C4—82no—
1774C2×C4—84no—
1775C2×C4—84no—
1776C2×C4—88no—
1777C2×C4—84no—
1778C2×C4—164no—
1779C2×C4C2×H(5,𝔽2)14yes—
1780C2×C4C2×H(5,𝔽2)12yes—
1781C2×C4C2×H(5,𝔽2)12yes—
1782C2×C4C2×H(5,𝔽2)12yes—
1783C2×C4C2×H(5,𝔽2)12yes—
1784C2×C4C2×H(5,𝔽2)12yes—
1785C2×C4C2×H(5,𝔽2)12yes—
1786C2×C4#58512yes—
1787C2×C4#58512yes—
1788C2×C4#58512yes—
1789C22—22no—
1790C22—22no—
1791C22—22no—
1792C22—41no—
1793C22—41no—
1794C22—41no—
1795C22—41no—
1796C22—41no—
1797C22—42no—
1798C22—42no—
1799C22—42no—
1800C22—42no—
1801C22—44no—
1802C22—42no—
1803C22—42no—
1804C22—41no—
1805C22—42no—
1806C22—44no—
1807C22—42no—
1808C22—41no—
1809C22—42no—
1810C22—44no—
1811C22—42no—
1812C22—42no—
1813C22—42no—
1814C22—41no—
1815C22—42no—
1816C22—42no—
1817C22—44no—
1818C22—42no—
1819C22—42no—
1820C22—42no—
1821C22—44no—
1822C22—41no—
1823C22—42no—
1824C22—42no—
1825C22—42no—
1826C22—44no—
1827C22—41no—
1828C22—42no—
1829C22—42no—
1830C22—42no—
1831C22—42no—
1832C22—41no—
1833C22—42no—
1834C22—44no—
1835C22—42no—
1836C22—42no—
1837C22—42no—
1838C22—816no—
1839C22—1616no—
1840C22C22×H(5,𝔽2)11yescharacteristic
1841C22C22×H(5,𝔽2)11yescharacteristic
1842C22C22×H(5,𝔽2)11yescharacteristic
1843C22C2×#58511yescharacteristic
1844C22C2×#58511yescharacteristic
1845C22C2×#58511yescharacteristic
1846C22H(7,𝔽2)11yescharacteristic
1847C4—22no—
1848C4—24no—
1849C4—22no—
1850C4—22no—
1851C4—41no—
1852C4—41no—
1853C4—42no—
1854C4—42no—
1855C4—42no—
1856C4—42no—
1857C4—41no—
1858C4—44no—
1859C4—41no—
1860C4—42no—
1861C4—42no—
1862C4—42no—
1863C4—41no—
1864C4—42no—
1865C4—44no—
1866C4—42no—
1867C4—42no—
1868C4—41no—
1869C4—42no—
1870C4—41no—
1871C4—41no—
1872C4—44no—
1873C4#354014yes—
1874C4#354314yes—
1875C2—42no—
1876C2—81no—
1877C2—82no—
1878C2—82no—
1879C2—84no—
1880C2—82no—
1881C2—82no—
1882C2C2×#354011yescharacteristic
1883C2C2×#354311yescharacteristic
1884C2#6275911yescharacteristic
1885C2#6292311yescharacteristic
1886C2#6293011yescharacteristic
1887C2#6295511yescharacteristic
1888C2#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. #59821C2semidirect
2. #59646C2semidirect
3. #59050C2semidirect
4. #59035C2semidirect
5. #59017C2semidirect
6. #58160C2semidirect
7. #57499C2semidirect
8. #53129C2semidirect
9. #53102C2semidirect
10. #53044C2semidirect
11. #52986C2semidirect
12. #52633C2semidirect
13. #42987C2semidirect
14. #42974C2semidirect
15. #42761C2semidirect
16. #42515C2semidirect
17. #41289C2semidirect
18. #40164C2semidirect
19. #39885C2semidirect
20. #39342C2semidirect
21. #39201C2semidirect
22. #39066C2semidirect
23. #38953C2semidirect
24. #38942C2semidirect
25. #37658C2semidirect
26. #37634C2semidirect
27. #37627C2semidirect
28. #37591C2semidirect
29. #37445C2semidirect
30. #36459C2semidirect
31. #36160C2semidirect
32. #36150C2semidirect
33. #34936C2semidirect
34. #34800C2semidirect
35. #34681C2semidirect
36. C2×#556C22semidirect
39. C2×D42C22semidirect
40. C2×#535C22semidirect
41. C2×#533C22semidirect
44. C2×#525C22semidirect
45. C2×#525C22semidirect
46. C2×#525C22semidirect
47. C22×C4×D4C22semidirect
48. #2860C22semidirect
49. #2858C22semidirect
50. #2857C22semidirect
51. #2856C22semidirect
53. #2837C22semidirect
54. #2837C22semidirect
55. #2830C22semidirect
56. #2829C22semidirect
57. #2829C22semidirect
58. #2828C22semidirect
59. #2828C22semidirect
60. #2828C22semidirect
61. #2818C22semidirect
62. #2816C22semidirect
63. #2813C22semidirect
64. #2812C22semidirect
65. #2812C22semidirect
66. #2812C22semidirect
67. #2803C22semidirect
68. #2803C22semidirect
69. #2756C22semidirect
70. #2756C22semidirect
71. #2753C22semidirect
72. #2752C22semidirect
73. #2742C22semidirect
74. #2738C22semidirect
75. #2735C22semidirect
76. #2730C22semidirect
77. #2727C22semidirect
78. #2714C22semidirect
79. #2712C22semidirect
80. #2710C22semidirect
81. #2705C22semidirect
82. #2701C22semidirect
83. #2699C22semidirect
84. #2697C22semidirect
85. #2685C22semidirect
86. #2685C22semidirect
87. #2685C22semidirect
88. #2685C22semidirect
89. #2685C22semidirect
90. #2679C22semidirect
91. #2679C22semidirect
92. #2678C22semidirect
93. #2678C22semidirect
94. #2672C22semidirect
95. #2670C22semidirect
96. #2670C22semidirect
97. #2670C22semidirect
98. #2670C22semidirect
99. #2670C22semidirect
100. #2670C22semidirect
101. #2669C22semidirect
102. #2669C22semidirect
104. #2663C22semidirect
105. #2662C22semidirect
106. #2661C22semidirect
107. #2660C22semidirect
108. #2651C22semidirect
109. #2651C22semidirect
110. #2651C22semidirect
112. #2641C22semidirect
113. #2638C22semidirect
114. #2635C22semidirect
115. #2632C22semidirect
116. #2632C22semidirect
117. #2630C22semidirect
118. #2629C22semidirect
119. #2625C22semidirect
120. #2624C22semidirect
121. #2624C22semidirect
122. #2620C22semidirect
124. #2616C22semidirect
125. #2616C22semidirect
126. #2615C22semidirect
127. #2602C22semidirect
128. #2602C22semidirect
129. #2602C22semidirect
130. #2580C22semidirect
131. #2563C22semidirect
132. #2563C22semidirect
133. #2560C22semidirect
134. #2554C22semidirect
135. #2552C22semidirect
137. #2548C22semidirect
138. #2548C22semidirect
139. #2547C22semidirect
140. #2542C22semidirect
141. #2542C22semidirect
142. #2542C22semidirect
146. #2540C22semidirect
147. #2540C22semidirect
148. #2540C22semidirect
149. #2540C22semidirect
150. #2539C22semidirect
151. #2538C22semidirect
154. #2537C22semidirect
155. #2536C22semidirect
156. #2536C22semidirect
157. #2534C22semidirect
158. #2532C22semidirect
159. #2532C22semidirect
160. #2526C22semidirect
161. #2518C22semidirect
162. #2513C22semidirect
163. #2513C22semidirect
164. #2513C22semidirect
165. #2512C22semidirect
166. #2512C22semidirect
167. #2508C22semidirect
168. #2501C22semidirect
170. #2500C22semidirect
171. #2500C22semidirect
172. #2500C22semidirect
173. #2500C22semidirect
174. #2497C22semidirect
175. #2497C22semidirect
176. #2496C22semidirect
177. #2495C22semidirect
178. #2491C22semidirect
179. #2491C22semidirect
180. #2491C22semidirect
182. #2490C22semidirect
183. #2490C22semidirect
184. #2490C22semidirect
185. #2490C22semidirect
186. #2485C22semidirect
187. #2485C22semidirect
188. #2485C22semidirect
189. #2472C22semidirect
190. #2472C22semidirect
191. #2468C22semidirect
192. #2467C22semidirect
193. #2464C22semidirect
194. #2461C22semidirect
195. #2461C22semidirect
196. #2459C22semidirect
197. #2459C22semidirect
198. #2459C22semidirect
199. #2458C22semidirect
200. #2454C22semidirect
201. #2452C22semidirect
202. #2448C22semidirect
203. #2448C22semidirect
204. #2448C22semidirect
206. #2445C22semidirect
207. #2445C22semidirect
208. #2441C22semidirect
209. #2440C22semidirect
210. #2439C22semidirect
211. #2435C22semidirect
215. #2433C22semidirect
217. #2428C22semidirect
218. #2427C22semidirect
219. #2427C22semidirect
220. #2426C22semidirect
221. #2426C22semidirect
222. #2426C22semidirect
223. #2426C22semidirect
224. #2424C22semidirect
225. #2424C22semidirect
226. #2423C22semidirect
227. #2422C22semidirect
228. #2422C22semidirect
229. #2422C22semidirect
230. #2420C22semidirect
231. #2420C22semidirect
232. #2418C22semidirect
233. #2418C22semidirect
235. #2415C22semidirect
236. #2415C22semidirect
237. #2415C22semidirect
240. #2414C22semidirect
241. #2414C22semidirect
242. #2414C22semidirect
243. #2414C22semidirect
244. #2414C22semidirect
245. #2414C22semidirect
247. #2408C22semidirect
248. #2408C22semidirect
249. #2408C22semidirect
250. #2408C22semidirect
251. #2408C22semidirect
252. #2408C22semidirect
254. #2407C22semidirect
255. #2398C22semidirect
256. #2397C22semidirect
257. #2392C22semidirect
258. #2392C22semidirect
259. #2388C22semidirect
260. #2369C22semidirect
261. #2367C22semidirect
262. #2367C22semidirect
263. #2366C22semidirect
264. #2363C22semidirect
265. #2363C22semidirect
266. #2362C22semidirect
267. #2354C22semidirect
268. #2354C22semidirect
269. #2354C22semidirect
270. #2354C22semidirect
271. #2352C22semidirect
272. Q8×C4⋊C4C22semidirect
273. #2347C22semidirect
274. #2341C22semidirect
275. D4×C22⋊C4C22semidirect
276. #2324C22semidirect
277. #2321C22semidirect
278. #2319C22semidirect
279. #2309C22semidirect
280. C4×C4⋊Q8C22semidirect
281. C4×C4⋊Q8C22semidirect
283. C4×#127C22semidirect
284. C4×#127C22semidirect
285. C4×#125C22semidirect
286. C4×#124C22semidirect
289. C4×#121C22semidirect
290. C4×#121C22semidirect
291. C4×#120C22semidirect
292. #2298C22semidirect
293. #2293C22semidirect
294. #2293C22semidirect
295. #2283C22semidirect
296. #2280C22semidirect
297. C42×D4C22semidirect
298. C4×#117C22semidirect

Maximal subgroups

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

subgroupindex
#598212
#596462
#590502
#590352
#590172
#581602
#574992
#531292
#531022
#530442
#529862
#526332
#429872
#429742
#427612
#425152
#412892
#401642
#398852
#393422
#392012
#390662
#389532
#389422
#376582
#376342
#376272
#375912
#374452
#364592
#361602
#361502
#349362
#348002
#346812