Finite Group Databasebeta

← #7685829

Subgroups — #7685829

Order 512.

5831 conjugacy classes of subgroups.

The subgroup lattice has 1857 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59858C212yesmaximal, complemented
2#59822C211yesmaximal, characteristic, complemented
3#59689C214yesmaximal, complemented
4#59637C212yesmaximal, complemented
5#59302C211yesmaximal, characteristic, complemented
6#59227C211yesmaximal, characteristic, complemented
7#59021C212yesmaximal, complemented
8#59018C212yesmaximal, complemented
9#44968C212yesmaximal, complemented
10#44959C212yesmaximal, complemented
11#44130C214yesmaximal, complemented
12#43278C214yesmaximal, complemented
13#40009C212yesmaximal, complemented
14#39909C212yesmaximal, complemented
15#39763C211yesmaximal, characteristic, complemented
16#39735C211yesmaximal, characteristic, complemented
17#38174C214yesmaximal, complemented
18#38080C212yesmaximal, complemented
19#36596C211yesmaximal, characteristic, complemented
20#36587C212yesmaximal, complemented
21#36416C211yesmaximal, characteristic, complemented
22#36235C212yesmaximal, complemented
23#36182C211yesmaximal, characteristic, complemented
24#36157C212yesmaximal, complemented
25#36101C211yesmaximal, characteristic, complemented
26#36101C211yesmaximal, characteristic, complemented
27#35865C212yesmaximal, complemented
28#35785C212yesmaximal, complemented
29#34772C211yesmaximal, characteristic, complemented
30#34737C212yesmaximal, complemented
31#34330C211yesmaximal, characteristic, complemented
32#34305C212yesmaximal, complemented
33#34186C211yesmaximal, characteristic, complemented
34C4×D42C211yesmaximal, characteristic, complemented
35C2×#2354C211yesmaximal, characteristic, complemented
36C2×#555C2212yescomplemented
37C2×#553C2212yes—
38C2×#553C2212yescomplemented
39C2×#550C2211yescharacteristic
40C2×D42C2211yescharacteristic
41C2×#525C2212yescomplemented
42C2×#525C2212yescomplemented
43C22×C4×D4C2211yescharacteristic
44C22×C4×D4C2211yescharacteristic
45C22×C4×D4C2212yes—
46C22×#117C2212yescomplemented
47#2859C2211yescharacteristic, complemented
48#2856C2212yes—
49#2856C2211yescharacteristic, complemented
50#2856C2211yescharacteristic, complemented
51#2851C2212yescomplemented
52#2850C2214yescomplemented
53#2847C2212yescomplemented
54#2847C2212yescomplemented
55#2800C2214yescomplemented
56#2800C2214yescomplemented
57#2797C2214yescomplemented
58#2793C2214yescomplemented
59#2781C2214yescomplemented
60#2781C2214yescomplemented
61#2779C2214yescomplemented
62#2753C2214yescomplemented
63#2753C2214yescomplemented
64#2752C2214yescomplemented
65#2750C2214yescomplemented
66#2733C2214yescomplemented
67#2714C2214yes—
68#2714C2214yes—
69#2706C2214yescomplemented
70#2703C2214yescomplemented
71#2695C2214yescomplemented
72#2685C2214yescomplemented
73#2684C2214yescomplemented
74#2678C2214yes—
75#2678C2214yes—
76#2648C2214yescomplemented
77#2648C2214yescomplemented
78#2641C2212yes—
79#2619C2212yes—
80#2610C2214yescomplemented
81#2609C2214yescomplemented
82#2603C2214yescomplemented
83#2602C2214yescomplemented
84#2597C2214yescomplemented
85#2597C2214yescomplemented
86#2595C2214yescomplemented
87#2593C2214yescomplemented
88#2589C2214yescomplemented
89#2587C2214yescomplemented
90#2580C2212yes—
91#2571C2211yescharacteristic, complemented
92#2571C2212yescomplemented
93#2570C2212yescomplemented
94#2566C2212yes—
95#2566C2212yescomplemented
96#2562C2212yescomplemented
97#2559C2214yescomplemented
98#2557C2214yescomplemented
99#2554C2214yescomplemented
100#2554C2214yescomplemented
101#2552C2211yescharacteristic, complemented
102#2548C2212yescomplemented
103#2548C2212yescomplemented
104#2543C2214yescomplemented
105#2541C2212yes—
106#2541C2211yescharacteristic, complemented
107#2541C2211yescharacteristic, complemented
108#2538C2211yescharacteristic, complemented
109#2538C2211yescharacteristic, complemented
110#2537C2212yescomplemented
111#2535C2212yescomplemented
112#2529C2214yescomplemented
113#2522C2212yescomplemented
114#2520C2212yescomplemented
115#2513C2214yescomplemented
116#2513C2212yescomplemented
117#2513C2212yescomplemented
118#2513C2212yescomplemented
119#2513C2212yescomplemented
120#2512C2212yescomplemented
121#2512C2212yescomplemented
122#2512C2212yescomplemented
123#2512C2212yescomplemented
124#2511C2211yescharacteristic, complemented
125#2507C2211yescharacteristic, complemented
126#2505C2212yescomplemented
127#2504C2212yes—
128#2504C2212yescomplemented
129#2502C2211yescharacteristic, complemented
130#2500C2212yes—
131#2500C2212yescomplemented
132#2500C2212yescomplemented
133#2499C2212yescomplemented
134#2497C2211yescharacteristic, complemented
135#2496C2212yescomplemented
136#2492C2211yescharacteristic, complemented
137#2490C2212yescomplemented
138#2489C2212yescomplemented
139#2487C2211yescharacteristic
140#2485C2212yescomplemented
141#2485C2212yescomplemented
142#2481C2214yescomplemented
143#2481C2214yescomplemented
144#2476C2214yescomplemented
145#2474C2214yescomplemented
146#2472C2214yescomplemented
147#2470C2214yescomplemented
148#2468C2214yescomplemented
149#2467C2214yescomplemented
150#2459C2214yescomplemented
151#2457C2214yescomplemented
152#2456C2214yescomplemented
153#2456C2214yescomplemented
154#2450C2212yes—
155#2447C2214yescomplemented
156#2445C2212yes—
157#2445C2212yes—
158#2445C2212yescomplemented
159#2445C2212yescomplemented
160#2444C2214yescomplemented
161#2444C2214yescomplemented
162#2444C2214yescomplemented
163#2441C2212yescomplemented
164#2440C2211yescharacteristic, complemented
165#2439C2212yescomplemented
166#2433C2212yes—
167#2433C2212yes—
168#2425C2214yescomplemented
169#2424C2214yes—
170#2424C2214yes—
171#2424C2214yescomplemented
172#2424C2214yescomplemented
173#2422C2212yescomplemented
174#2422C2212yescomplemented
175#2422C2212yescomplemented
176#2418C2214yescomplemented
177#2418C2214yescomplemented
178#2417C2211yescharacteristic
179#2417C2212yescomplemented
180#2416C2212yes—
181#2416C2212yes—
182#2416C2212yescomplemented
183#2415C2212yescomplemented
184#2415C2212yescomplemented
185#2415C2212yescomplemented
186#2414C2212yescomplemented
187#2414C2212yescomplemented
188#2414C2214yescomplemented
189#2414C2212yescomplemented
190#2414C2212yescomplemented
191#2414C2212yescomplemented
192#2413C2214yescomplemented
193#2412C2214yescomplemented
194#2411C2214yescomplemented
195#2410C2214yes—
196#2410C2214yes—
197#2407C2212yescomplemented
198#2407C2212yescomplemented
199#2402C2212yescomplemented
200#2396C2212yescomplemented
201#2392C2214yescomplemented
202#2392C2214yescomplemented
203#2373C2214yescomplemented
204#2370C2212yescomplemented
205#2366C2211yescharacteristic
206#2366C2212yes—
207#2366C2212yescomplemented
208#2366C2212yescomplemented
209#2366C2211yescharacteristic, complemented
210#2364C2214yes—
211#2364C2214yescomplemented
212#2363C2212yescomplemented
213#2363C2212yescomplemented
214#2361C2212yes—
215#2361C2211yescharacteristic
216#2361C2211yescharacteristic
217#2361C2212yescomplemented
218#2361C2212yescomplemented
219#2361C2212yescomplemented
220#2361C2212yescomplemented
221#2359C2214yescomplemented
222#2358C2212yes—
223#2358C2212yes—
224#2358C2214yescomplemented
225#2357C2212yes—
226#2357C2212yescomplemented
227#2357C2212yescomplemented
228#2357C2214yescomplemented
229#2355C2211yescharacteristic, complemented
230#2355C2212yescomplemented
231#2354C2211yescharacteristic
232#2354C2211yescharacteristic
233#2354C2211yescharacteristic
234#2354C2212yes—
235#2354C2212yescomplemented
236#2354C2214yescomplemented
237#2354C2212yescomplemented
238#2354C2211yescharacteristic, complemented
239#2354C2212yescomplemented
240#2354C2211yescharacteristic, complemented
241#2354C2212yescomplemented
242#2354C2212yescomplemented
243#2354C2211yescharacteristic, complemented
244#2354C2212yescomplemented
245#2354C2211yescharacteristic, complemented
246#2352C2212yescomplemented
247#2349C2214yescomplemented
248D4×C4⋊C4C2211yescharacteristic
249D4×C4⋊C4C2211yescharacteristic
250#2346C2212yescomplemented
251#2346C2212yescomplemented
252#2345C2212yescomplemented
253#2339C2212yescomplemented
254D4×C22⋊C4C2212yes—
255D4×C22⋊C4C2211yescharacteristic
256D4×C22⋊C4C2211yescharacteristic
257#2335C2214yescomplemented
258#2334C2214yescomplemented
259#2333C2214yescomplemented
260#2330C2212yescomplemented
261#2328C2212yes—
262#2324C2212yescomplemented
263#2312C2214yescomplemented
264#2309C2212yes—
265C4×C4⋊Q8C2211yescharacteristic, complemented
266C4×#127C2211yescharacteristic
267C4×#127C2211yescharacteristic, complemented
268C4×C22⋊Q8C2211yescharacteristic, complemented
269C4×C22⋊Q8C2211yescharacteristic, complemented
270C4×C22⋊Q8C2212yescomplemented
271C4×#121C2214yes—
272C4×#121C2211yescharacteristic
273C4×#121C2212yes—
274C4×#121C2211yescharacteristic
275C4×#121C2212yescomplemented
276C4×#121C2212yescomplemented
277C4×#121C2214yescomplemented
278C4×#120C2212yes—
279C4×#120C2212yes—
280#2297C2212yescomplemented
281#2296C2212yescomplemented
282#2295C2211yescharacteristic, complemented
283C2×#390C2212yes—
284#2290C2212yes—
285#2290C2214yescomplemented
286C2×#388C2214yescomplemented
287#2285C2211yescharacteristic, complemented
288#2285C2211yescharacteristic, complemented
289C2×#384C2211yescharacteristic, complemented
290#2280C2212yescomplemented
291#2280C2212yescomplemented
292C2×#380C2212yescomplemented
293#2275C2212yescomplemented
294#2274C2212yescomplemented
295C42×D4C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C2×C4×C4⋊C4C2212yescomplemented
298C2×C4×C4⋊C4C2211yescharacteristic, complemented
299C22×#41C2312yes—
300C23×D4C2311yescharacteristic
301C23×D4C2311yescharacteristic
302C23×D4C2312yes—
303C24×C4C2312yes—
304C24×C4C2312yes—
305#555—48no—
306#553—216no—
307#553—48no—
308#550—28no—
309D42—28no—
310C2×C4⋊Q8C2311yescharacteristic
311C2×#127C2311yescharacteristic
312C2×#127C2311yescharacteristic
313C2×#127C2312yes—
314C2×#127C2312yes—
315C2×#127C2312yes—
316C2×#126C2314yes—
317C2×#126C2314yes—
318C2×#126C2314yes—
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#124C2314yes—
322C2×#124C2314yes—
323#525—48no—
324#525—48no—
325C2×#123C2314yes—
326C2×#123C2314yes—
327C2×#123C2314yes—
328C2×#123C2314yes—
329C2×#123C2314yes—
330C2×C22⋊Q8C2311yescharacteristic
331C2×C22⋊Q8C2311yescharacteristic
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×#121C2312yes—
336C2×#121C2314yes—
337C2×#121C2312yes—
338C2×#121C2312yes—
339C2×#121C2311yescharacteristic
340C2×#121C2312yes—
341C2×#121C2311yescharacteristic
342C2×#121C2312yes—
343C2×#121C2312yes—
344C2×#121C2314yes—
345C2×#121C2312yes—
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2314yes—
349C2×#121C2314yes—
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2314yes—
353C2×#121C2312yes—
354C2×#121C2314yes—
355C2×#120C2312yes—
356C2×#120C2312yes—
357C2×#120C2314yes—
358C2×#120C2314yes—
359C2×#120C2314yes—
360C2×#120C2314yes—
361C2×C4×Q8C2311yescharacteristic
362C2×C4×Q8C2312yes—
363C2×C4×D4—28no—
364C2×C4×D4—28no—
365C2×C4×D4—48no—
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2312yes—
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2314yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2312yes—
381C2×C4×D4C2311yescharacteristic
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2311yescharacteristic
388C2×C4×D4C2311yescharacteristic
389C2×C4×D4C2312yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2314yes—
392C2×C4×D4C2314yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2314yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2314yes—
398C2×C4×D4C2314yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2314yes—
401C2×C4×D4C2311yescharacteristic
402C2×C4×D4C2311yescharacteristic
403C2×#117—48no—
404C2×#117C2312yes—
405C2×#117C2312yes—
406C2×#117C2312yes—
407C2×#117C2312yes—
408C2×#117C2312yes—
409C2×#117C2314yes—
410C2×#117C2314yes—
411C2×#117C2312yes—
412C2×#117C2312yes—
413C2×#117C2312yes—
414C2×#117C2314yes—
415C2×#117C2312yes—
416C22×C4⋊C4C2312yes—
417C22×C4⋊C4C2311yescharacteristic
418C22×C4⋊C4C2311yescharacteristic
419C22×C4⋊C4C2311yescharacteristic
420C22×C4⋊C4C2311yescharacteristic
421C22×C4⋊C4C2312yes—
422C22×C4⋊C4C2312yes—
423C22×C4⋊C4C2312yes—
424C22×C22⋊C4C2312yes—
425C22×C22⋊C4C2312yes—
426C22×C22⋊C4C2312yes—
427C22×C22⋊C4C2312yes—
428C22×C22⋊C4C2314yes—
429C22×C22⋊C4C2314yes—
430C22×C42C2311yescharacteristic
431C22×C42C2311yescharacteristic
432C22×C42C2314yes—
433C22×C42C2312yes—
434C22×C42C2312yes—
435#400C2314yes—
436#400C2314yes—
437#400C2314yes—
438#400C2314yes—
439#400C2312yes—
440#400C2312yes—
441#400C2312yes—
442#400C2312yes—
443#400C2312yes—
444#399C2314yes—
445#399C2312yes—
446#398C2314yes—
447#398C2314yes—
448#398C2312yes—
449#398C2312yes—
450#398C2312yes—
451#398C2312yes—
452#398C2312yes—
453#398C2312yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2312yes—
474#396C2314yes—
475#396C2312yes—
476#396C2314yes—
477#396C2314yes—
478#395C2312yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#393C2314yes—
502#393C2312yes—
503#392C2314yes—
504#392C2314yes—
505#392C2314yes—
506#392C2314yes—
507#392C2314yes—
508#392C2314yes—
509#392C2314yes—
510#392C2314yes—
511#392C2314yes—
512#392C2314yes—
513#391C2312yes—
514#391C2314yes—
515#391C2311yescharacteristic
516#391C2312yes—
517#391C2311yescharacteristic
518#391C2311yescharacteristic
519#391C2311yescharacteristic
520#391C2312yes—
521#390C2312yes—
522#390C2311yescharacteristic
523#390C2311yescharacteristic
524#390C2312yes—
525#390C2312yes—
526#390C2312yes—
527#390C2312yes—
528#390C2312yes—
529#390C2312yes—
530#390C2312yes—
531#390C2314yes—
532#390C2314yes—
533#390C2312yes—
534#390C2312yes—
535#390C2312yes—
536#390C2312yes—
537#390C2314yes—
538#390C2312yes—
539#390C2312yes—
540#390C2314yes—
541#390C2314yes—
542#390C2312yes—
543#390C2311yescharacteristic
544#390C2311yescharacteristic
545#390C2314yes—
546#390C2314yes—
547#390C2314yes—
548#390C2314yes—
549#390C2312yes—
550#390C2312yes—
551#390C2312yes—
552#390C2312yes—
553#390C2314yes—
554#390C2314yes—
555#390C2312yes—
556#390C2314yes—
557#390C2312yes—
558#390C2312yes—
559#390C2312yes—
560#390C2312yes—
561#390C2312yes—
562#389C2312yes—
563#389C2311yescharacteristic
564#389C2311yescharacteristic
565#389C2311yescharacteristic
566#389C2312yes—
567#389C2311yescharacteristic
568#389C2312yes—
569#389C2312yes—
570#389C2314yes—
571#389C2312yes—
572#389C2312yes—
573#389C2314yes—
574#389C2314yes—
575#389C2312yes—
576#389C2314yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2311yescharacteristic
581#389C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2311yescharacteristic
585#389C2311yescharacteristic
586#389C2311yescharacteristic
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2312yes—
603#388C2314yes—
604#388C2312yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2312yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2312yes—
629#388C2312yes—
630#388C2312yes—
631#388C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2312yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2312yes—
643#387C2314yes—
644#387C2314yes—
645#387C2312yes—
646#387C2312yes—
647#387C2312yes—
648#387C2312yes—
649#387C2312yes—
650#387C2312yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2312yes—
665#386C2312yes—
666#386C2312yes—
667#386C2312yes—
668#386C2312yes—
669#386C2312yes—
670#386C2312yes—
671#386C2312yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2312yes—
678#386C2312yes—
679#386C2314yes—
680#386C2314yes—
681#386C2312yes—
682#386C2314yes—
683#386C2312yes—
684#386C2314yes—
685#386C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2312yes—
696#385C2312yes—
697#385C2312yes—
698#385C2312yes—
699#385C2312yes—
700#385C2312yes—
701#385C2312yes—
702#385C2312yes—
703#385C2312yes—
704#385C2312yes—
705#385C2312yes—
706#385C2312yes—
707#384C2311yescharacteristic
708#384C2311yescharacteristic
709#384C2311yescharacteristic
710#384C2312yes—
711#384C2312yes—
712#384C2311yescharacteristic
713#384C2311yescharacteristic
714#384C2311yescharacteristic
715#384C2312yes—
716#384C2312yes—
717#384C2311yescharacteristic
718#382C2312yes—
719#382C2312yes—
720#382C2312yes—
721#382C2314yes—
722#382C2312yes—
723#382C2312yes—
724#382C2314yes—
725#382C2312yes—
726#381C2314yes—
727#381C2314yes—
728#381C2314yes—
729#380C2311yescharacteristic
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2311yescharacteristic
736#380C2314yes—
737#380C2311yescharacteristic
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2311yescharacteristic
742#380C2312yes—
743#380C2312yes—
744#380C2314yes—
745#380C2314yes—
746#380C2312yes—
747#380C2312yes—
748#380C2312yes—
749#380C2314yes—
750#380C2312yes—
751#380C2311yescharacteristic
752#380C2311yescharacteristic
753#379C2314yes—
754#379C2314yes—
755#379C2312yes—
756#379C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2314yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2314yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2311yescharacteristic
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2314yes—
809C4×C22⋊C4C2314yes—
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2311yescharacteristic
815#376C2312yes—
816#376C2314yes—
817C2×#95C2314yes—
818C2×#95C2314yes—
819C2×#95C2312yes—
820C43C2311yescharacteristic
821C25C2412yes—
822C25C2412yes—
823C2×#41—28no—
824C2×#41—44no—
825C2×#41—44no—
826C22×Q8C2411yescharacteristic
827C22×Q8C2412yes—
828C22×D4—24no—
829C22×D4—24no—
830C22×D4—28no—
831C22×D4—24no—
832C22×D4—24no—
833C22×D4—42no—
834C22×D4—42no—
835C22×D4—44no—
836C22×D4—44no—
837C22×D4C2414yes—
838C22×D4C2412yes—
839C22×D4C2412yes—
840C22×D4C2412yes—
841C22×D4C2411yescharacteristic
842C22×D4C2411yescharacteristic
843C22×D4C2412yes—
844C22×D4C2412yes—
845C22×D4C2411yescharacteristic
846C22×D4C2411yescharacteristic
847C22×D4C2412yes—
848C22×D4C2412yes—
849C22×D4C2414yes—
850C22×D4C2412yes—
851C22×D4C2414yes—
852C22×D4C2414yes—
853C22×D4C2412yes—
854C22×D4C2414yes—
855C22×D4C2414yes—
856C22×D4C2414yes—
857C22×D4C2414yes—
858C23×C4—28no—
859C23×C4—28no—
860C23×C4—28no—
861C23×C4—44no—
862C23×C4—44no—
863C23×C4—44no—
864C23×C4C2412yes—
865C23×C4C2412yes—
866C23×C4C2411yescharacteristic
867C23×C4C2411yescharacteristic
868C23×C4C2412yes—
869C23×C4C2412yes—
870C23×C4C2412yes—
871C23×C4C2412yes—
872C23×C4C2411yescharacteristic
873C23×C4C2411yescharacteristic
874C23×C4C2412yes—
875C23×C4C2411yescharacteristic
876C23×C4C2414yes—
877C23×C4C2412yes—
878C23×C4C2411yescharacteristic
879C23×C4C2412yes—
880C23×C4C2412yes—
881C23×C4C2412yes—
882C23×C4C2414yes—
883C23×C4C2412yes—
884C23×C4C2414yes—
885C23×C4C2412yes—
886C23×C4C2414yes—
887C4⋊Q8—24no—
888#127—28no—
889#127—24no—
890#127—24no—
891#127—44no—
892#127—44no—
893#126—216no—
894#126—48no—
895#126—84no—
896#125—28no—
897#125—44no—
898#124—48no—
899#124—48no—
900#123—216no—
901#123—48no—
902#123—48no—
903#123—48no—
904#123—84no—
905C22⋊Q8—24no—
906C22⋊Q8—24no—
907C22⋊Q8—44no—
908C22⋊Q8—44no—
909C22⋊Q8—44no—
910#121—216no—
911#121—24no—
912#121—24no—
913#121—28no—
914#121—28no—
915#121—28no—
916#121—28no—
917#121—28no—
918#121—28no—
919#121—216no—
920#121—48no—
921#121—44no—
922#121—44no—
923#121—44no—
924#121—44no—
925#121—44no—
926#121—48no—
927#121—48no—
928#121—84no—
929#121—82no—
930#120—28no—
931#120—28no—
932#120—48no—
933#120—48no—
934#120—48no—
935#120—84no—
936C4×Q8—24no—
937C4×Q8—44no—
938C4×D4—24no—
939C4×D4—24no—
940C4×D4—28no—
941C4×D4—28no—
942C4×D4—24no—
943C4×D4—28no—
944C4×D4—24no—
945C4×D4—24no—
946C4×D4—28no—
947C4×D4—28no—
948C4×D4—28no—
949C4×D4—216no—
950C4×D4—24no—
951C4×D4—24no—
952C4×D4—24no—
953C4×D4—28no—
954C4×D4—48no—
955C4×D4—44no—
956C4×D4—42no—
957C4×D4—48no—
958C4×D4—44no—
959C4×D4—44no—
960C4×D4—44no—
961C4×D4—44no—
962C4×D4—44no—
963C4×D4—44no—
964C4×D4—44no—
965C4×D4—48no—
966C4×D4—44no—
967C4×D4—44no—
968C4×D4—42no—
969C4×D4—48no—
970C4×D4—48no—
971C4×D4—82no—
972C4×D4—84no—
973C4×D4#4118yes—
974C4×D4#4118yescomplemented
975#117—28no—
976#117—28no—
977#117—28no—
978#117—44no—
979#117—48no—
980#117—48no—
981#117—48no—
982#117—44no—
983#117—44no—
984#117—44no—
985#117—44no—
986#117—44no—
987C2×C4⋊C4—28no—
988C2×C4⋊C4—24no—
989C2×C4⋊C4—24no—
990C2×C4⋊C4—24no—
991C2×C4⋊C4—24no—
992C2×C4⋊C4—44no—
993C2×C4⋊C4—44no—
994C2×C4⋊C4—82no—
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2411yescharacteristic
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2411yescharacteristic
1052C2×C4⋊C4C2411yescharacteristic
1053C2×C4⋊C4C2411yescharacteristic
1054C2×C22⋊C4—28no—
1055C2×C22⋊C4—28no—
1056C2×C22⋊C4—48no—
1057C2×C22⋊C4—44no—
1058C2×C22⋊C4—44no—
1059C2×C22⋊C4—84no—
1060C2×C22⋊C4C2411yescharacteristic
1061C2×C22⋊C4C2411yescharacteristic
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2411yescharacteristic
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2411yescharacteristic
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2411yescharacteristic
1128C2×C22⋊C4C2411yescharacteristic
1129C2×C42—24no—
1130C2×C42—24no—
1131C2×C42—48no—
1132C2×C42—44no—
1133C2×C42—44no—
1134C2×C42C2414yes—
1135C2×C42C2414yes—
1136C2×C42C2414yes—
1137C2×C42C2412yes—
1138C2×C42C2412yes—
1139C2×C42C2411yescharacteristic
1140C2×C42C2412yes—
1141C2×C42C2411yescharacteristic
1142C2×C42C2411yescharacteristic
1143C2×C42C2411yescharacteristic
1144C2×C42C2411yescharacteristic
1145C2×C42C2411yescharacteristic
1146C2×C42C2411yescharacteristic
1147C2×C42C2411yescharacteristic
1148C2×C42C2411yescharacteristic
1149C2×C42C2412yes—
1150C2×C42C2412yes—
1151C2×C42C2414yes—
1152C2×C42C2414yes—
1153C2×C42C2414yes—
1154C2×C42C2414yes—
1155C2×C42C2414yes—
1156C2×C42C2411yescharacteristic
1157C2×C42C2412yes—
1158C2×C42C2412yes—
1159C2×C42C2414yes—
1160C2×C42C2411yescharacteristic
1161C2×C42C2412yes—
1162C2×C42C2412yes—
1163C2×C42C2411yescharacteristic
1164C2×C42C2411yescharacteristic
1165#95C2412yes—
1166#95C2412yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2414yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2411yescharacteristic
1190#95C2411yescharacteristic
1191#95C2411yescharacteristic
1192#95C2411yescharacteristic
1193#95C2412yes—
1194#95C2411yescharacteristic
1195#95C2411yescharacteristic
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2414yes—
1202#95C2414yes—
1203#95C2412yes—
1204#95C2414yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2414yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2414yes—
1214#95C2414yes—
1215#95C2414yes—
1216#95C2412yes—
1217#95C2412yes—
1218#95C2412yes—
1219#95C2414yes—
1220#95C2414yes—
1221C24—24no—
1222C24—24no—
1223C24—24no—
1224C24—24no—
1225C24—24no—
1226C24—24no—
1227C24—42no—
1228C24—42no—
1229C24—42no—
1230C24—42no—
1231C24—42no—
1232C24—42no—
1233C24—42no—
1234C24—42no—
1235C24C2512yes—
1236C24C2512yes—
1237C24C2514yes—
1238C24C2512yes—
1239C24C2511yescharacteristic
1240C24C2511yescharacteristic
1241#41—816no—
1242C2×Q8—22no—
1243C2×Q8—22no—
1244C2×Q8—22no—
1245C2×Q8—24no—
1246C2×Q8—42no—
1247C2×Q8—42no—
1248C2×D4—22no—
1249C2×D4—22no—
1250C2×D4—24no—
1251C2×D4—24no—
1252C2×D4—28no—
1253C2×D4—24no—
1254C2×D4—24no—
1255C2×D4—24no—
1256C2×D4—28no—
1257C2×D4—28no—
1258C2×D4—24no—
1259C2×D4—28no—
1260C2×D4—28no—
1261C2×D4—28no—
1262C2×D4—22no—
1263C2×D4—22no—
1264C2×D4—22no—
1265C2×D4—24no—
1266C2×D4—24no—
1267C2×D4—24no—
1268C2×D4—24no—
1269C2×D4—24no—
1270C2×D4—22no—
1271C2×D4—22no—
1272C2×D4—24no—
1273C2×D4—24no—
1274C2×D4—24no—
1275C2×D4—24no—
1276C2×D4—24no—
1277C2×D4—28no—
1278C2×D4—22no—
1279C2×D4—24no—
1280C2×D4—22no—
1281C2×D4—22no—
1282C2×D4—416no—
1283C2×D4—416no—
1284C2×D4—42no—
1285C2×D4—42no—
1286C2×D4—42no—
1287C2×D4—42no—
1288C2×D4—42no—
1289C2×D4—42no—
1290C2×D4—44no—
1291C2×D4—44no—
1292C2×D4—42no—
1293C2×D4—44no—
1294C2×D4—42no—
1295C2×D4—44no—
1296C2×D4—44no—
1297C2×D4—44no—
1298C2×D4—44no—
1299C2×D4—42no—
1300C2×D4—44no—
1301C2×D4—42no—
1302C2×D4—44no—
1303C2×D4—44no—
1304C2×D4—44no—
1305C2×D4—44no—
1306C2×D4—44no—
1307C2×D4—44no—
1308C2×D4—44no—
1309C2×D4—44no—
1310C2×D4—44no—
1311C2×D4—432no—
1312C2×D4C2×#4114yes—
1313C2×D4C2×#4114yes—
1314C22×C4—22no—
1315C22×C4—22no—
1316C22×C4—22no—
1317C22×C4—24no—
1318C22×C4—22no—
1319C22×C4—24no—
1320C22×C4—22no—
1321C22×C4—22no—
1322C22×C4—24no—
1323C22×C4—24no—
1324C22×C4—22no—
1325C22×C4—24no—
1326C22×C4—28no—
1327C22×C4—24no—
1328C22×C4—24no—
1329C22×C4—22no—
1330C22×C4—22no—
1331C22×C4—24no—
1332C22×C4—24no—
1333C22×C4—24no—
1334C22×C4—24no—
1335C22×C4—24no—
1336C22×C4—24no—
1337C22×C4—24no—
1338C22×C4—24no—
1339C22×C4—24no—
1340C22×C4—24no—
1341C22×C4—22no—
1342C22×C4—24no—
1343C22×C4—24no—
1344C22×C4—22no—
1345C22×C4—22no—
1346C22×C4—24no—
1347C22×C4—28no—
1348C22×C4—24no—
1349C22×C4—28no—
1350C22×C4—42no—
1351C22×C4—42no—
1352C22×C4—42no—
1353C22×C4—41no—
1354C22×C4—42no—
1355C22×C4—42no—
1356C22×C4—42no—
1357C22×C4—432no—
1358C22×C4—42no—
1359C22×C4—44no—
1360C22×C4—42no—
1361C22×C4—42no—
1362C22×C4—42no—
1363C22×C4—44no—
1364C22×C4—44no—
1365C22×C4—42no—
1366C22×C4—42no—
1367C22×C4—42no—
1368C22×C4—42no—
1369C22×C4—44no—
1370C22×C4—44no—
1371C22×C4—41no—
1372C22×C4—42no—
1373C22×C4—42no—
1374C22×C4—44no—
1375C22×C4—41no—
1376C22×C4—42no—
1377C22×C4—44no—
1378C22×C4—44no—
1379C22×C4—44no—
1380C22×C4—816no—
1381C22×C4C2×#4114yes—
1382C22×C4C2×#4114yes—
1383C22×C4C2×#4118yes—
1384C22×C4H(5,𝔽2)14yes—
1385C22×C4C2512yes—
1386C22×C4C2512yes—
1387C22×C4C2512yes—
1388C22×C4C2511yescharacteristic
1389C22×C4C2512yes—
1390C22×C4C2512yes—
1391C22×C4C2512yes—
1392C22×C4C2511yescharacteristic
1393C22×C4C2511yescharacteristic
1394C22×C4C2511yescharacteristic
1395C22×C4C2512yes—
1396C22×C4C2512yes—
1397C22×C4C2514yes—
1398C22×C4C2511yescharacteristic
1399C22×C4C2512yes—
1400C22×C4C2512yes—
1401C22×C4C2514yes—
1402C22×C4C2512yes—
1403C22×C4C2514yes—
1404C22×C4C2512yes—
1405C22×C4C2511yescharacteristic
1406C22×C4C2511yescharacteristic
1407C22×C4C2511yescharacteristic
1408C22×C4C2511yescharacteristic
1409C22×C4C2511yescharacteristic
1410C22×C4C2512yes—
1411C22×C4C2511yescharacteristic
1412C22×C4C2511yescharacteristic
1413C22×C4C2511yescharacteristic
1414C4⋊C4—24no—
1415C4⋊C4—24no—
1416C4⋊C4—24no—
1417C4⋊C4—22no—
1418C4⋊C4—22no—
1419C4⋊C4—24no—
1420C4⋊C4—28no—
1421C4⋊C4—24no—
1422C4⋊C4—22no—
1423C4⋊C4—28no—
1424C4⋊C4—22no—
1425C4⋊C4—24no—
1426C4⋊C4—28no—
1427C4⋊C4—24no—
1428C4⋊C4—22no—
1429C4⋊C4—22no—
1430C4⋊C4—22no—
1431C4⋊C4—24no—
1432C4⋊C4—22no—
1433C4⋊C4—24no—
1434C4⋊C4—24no—
1435C4⋊C4—24no—
1436C4⋊C4—24no—
1437C4⋊C4—22no—
1438C4⋊C4—24no—
1439C4⋊C4—22no—
1440C4⋊C4—24no—
1441C4⋊C4—24no—
1442C4⋊C4—22no—
1443C4⋊C4—44no—
1444C4⋊C4—42no—
1445C4⋊C4—42no—
1446C4⋊C4—42no—
1447C4⋊C4—42no—
1448C4⋊C4—44no—
1449C4⋊C4—42no—
1450C4⋊C4—42no—
1451C4⋊C4—42no—
1452C4⋊C4—41no—
1453C4⋊C4—44no—
1454C4⋊C4—44no—
1455C4⋊C4—44no—
1456C4⋊C4—42no—
1457C4⋊C4—42no—
1458C4⋊C4—42no—
1459C4⋊C4—42no—
1460C4⋊C4—42no—
1461C4⋊C4—44no—
1462C4⋊C4—44no—
1463C4⋊C4—42no—
1464C4⋊C4—42no—
1465C4⋊C4—42no—
1466C4⋊C4—42no—
1467C4⋊C4—42no—
1468C4⋊C4—44no—
1469C4⋊C4—42no—
1470C4⋊C4C2×#4114yes—
1471C4⋊C4C2×#4114yes—
1472C4⋊C4H(5,𝔽2)14yes—
1473C22⋊C4—24no—
1474C22⋊C4—24no—
1475C22⋊C4—28no—
1476C22⋊C4—22no—
1477C22⋊C4—24no—
1478C22⋊C4—24no—
1479C22⋊C4—22no—
1480C22⋊C4—24no—
1481C22⋊C4—24no—
1482C22⋊C4—24no—
1483C22⋊C4—24no—
1484C22⋊C4—24no—
1485C22⋊C4—24no—
1486C22⋊C4—28no—
1487C22⋊C4—28no—
1488C22⋊C4—28no—
1489C22⋊C4—24no—
1490C22⋊C4—24no—
1491C22⋊C4—28no—
1492C22⋊C4—22no—
1493C22⋊C4—28no—
1494C22⋊C4—28no—
1495C22⋊C4—24no—
1496C22⋊C4—28no—
1497C22⋊C4—24no—
1498C22⋊C4—28no—
1499C22⋊C4—44no—
1500C22⋊C4—44no—
1501C22⋊C4—42no—
1502C22⋊C4—42no—
1503C22⋊C4—42no—
1504C22⋊C4—42no—
1505C22⋊C4—44no—
1506C22⋊C4—44no—
1507C22⋊C4—44no—
1508C22⋊C4—44no—
1509C22⋊C4—42no—
1510C22⋊C4—42no—
1511C22⋊C4—44no—
1512C22⋊C4—44no—
1513C22⋊C4—44no—
1514C22⋊C4—44no—
1515C22⋊C4—44no—
1516C22⋊C4—42no—
1517C22⋊C4—41no—
1518C22⋊C4—44no—
1519C22⋊C4—44no—
1520C22⋊C4—44no—
1521C22⋊C4—44no—
1522C22⋊C4—44no—
1523C22⋊C4—44no—
1524C22⋊C4—42no—
1525C22⋊C4—44no—
1526C22⋊C4—42no—
1527C22⋊C4—44no—
1528C22⋊C4—44no—
1529C22⋊C4—44no—
1530C22⋊C4—42no—
1531C22⋊C4—44no—
1532C22⋊C4—44no—
1533C22⋊C4—44no—
1534C22⋊C4—44no—
1535C22⋊C4—44no—
1536C22⋊C4—44no—
1537C22⋊C4—42no—
1538C22⋊C4—42no—
1539C22⋊C4C2×#4118yes—
1540C22⋊C4C2×#4114yes—
1541C22⋊C4C2×#4114yes—
1542C42—22no—
1543C42—22no—
1544C42—22no—
1545C42—22no—
1546C42—22no—
1547C42—22no—
1548C42—28no—
1549C42—24no—
1550C42—22no—
1551C42—28no—
1552C42—28no—
1553C42—24no—
1554C42—22no—
1555C42—24no—
1556C42—24no—
1557C42—24no—
1558C42—22no—
1559C42—42no—
1560C42—42no—
1561C42—44no—
1562C42—44no—
1563C42—42no—
1564C42—42no—
1565C42—44no—
1566C42—44no—
1567C42—44no—
1568C42—41no—
1569C42—41no—
1570C42—44no—
1571C42C2×#4114yes—
1572C42C2×#4114yes—
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—21no—
1577C23—22no—
1578C23—21no—
1579C23—22no—
1580C23—21no—
1581C23—21no—
1582C23—22no—
1583C23—21no—
1584C23—22no—
1585C23—21no—
1586C23—22no—
1587C23—22no—
1588C23—21no—
1589C23—24no—
1590C23—22no—
1591C23—22no—
1592C23—24no—
1593C23—22no—
1594C23—22no—
1595C23—22no—
1596C23—22no—
1597C23—24no—
1598C23—24no—
1599C23—22no—
1600C23—22no—
1601C23—24no—
1602C23—22no—
1603C23—22no—
1604C23—24no—
1605C23—22no—
1606C23—22no—
1607C23—22no—
1608C23—22no—
1609C23—24no—
1610C23—48no—
1611C23—48no—
1612C23—48no—
1613C23—48no—
1614C23—48no—
1615C23—48no—
1616C23—84no—
1617C23—84no—
1618C23—84no—
1619C23—84no—
1620C23—84no—
1621C23—84no—
1622C23—84no—
1623C23—84no—
1624C23C22×#4112yes—
1625C23C22×#4114yes—
1626C23C22×#4112yes—
1627C23C2×H(5,𝔽2)12yes—
1628C23#58512yes—
1629C23C2611yescharacteristic
1630Q8—44no—
1631Q8—84no—
1632D4—28no—
1633D4—28no—
1634D4—48no—
1635D4—48no—
1636D4—48no—
1637D4—48no—
1638D4—416no—
1639D4—48no—
1640D4—48no—
1641D4—44no—
1642D4—44no—
1643D4—48no—
1644D4—84no—
1645D4—84no—
1646D4—88no—
1647D4—88no—
1648D4—88no—
1649D4—88no—
1650D4—88no—
1651D4—164no—
1652D4—164no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—22no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—22no—
1660C2×C4—21no—
1661C2×C4—22no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—22no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—28no—
1670C2×C4—28no—
1671C2×C4—28no—
1672C2×C4—216no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—24no—
1677C2×C4—24no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—22no—
1681C2×C4—22no—
1682C2×C4—22no—
1683C2×C4—24no—
1684C2×C4—22no—
1685C2×C4—21no—
1686C2×C4—24no—
1687C2×C4—22no—
1688C2×C4—24no—
1689C2×C4—22no—
1690C2×C4—21no—
1691C2×C4—22no—
1692C2×C4—22no—
1693C2×C4—22no—
1694C2×C4—24no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—22no—
1698C2×C4—21no—
1699C2×C4—22no—
1700C2×C4—22no—
1701C2×C4—21no—
1702C2×C4—22no—
1703C2×C4—22no—
1704C2×C4—22no—
1705C2×C4—22no—
1706C2×C4—22no—
1707C2×C4—21no—
1708C2×C4—22no—
1709C2×C4—22no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—22no—
1713C2×C4—22no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—22no—
1717C2×C4—24no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—22no—
1721C2×C4—22no—
1722C2×C4—24no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—22no—
1726C2×C4—24no—
1727C2×C4—22no—
1728C2×C4—21no—
1729C2×C4—22no—
1730C2×C4—48no—
1731C2×C4—44no—
1732C2×C4—48no—
1733C2×C4—48no—
1734C2×C4—48no—
1735C2×C4—48no—
1736C2×C4—48no—
1737C2×C4—48no—
1738C2×C4—44no—
1739C2×C4—88no—
1740C2×C4—82no—
1741C2×C4—84no—
1742C2×C4—84no—
1743C2×C4—88no—
1744C2×C4—88no—
1745C2×C4—84no—
1746C2×C4—84no—
1747C2×C4—84no—
1748C2×C4—164no—
1749C2×C4C22×#4112yes—
1750C2×C4C22×#4112yes—
1751C2×C4C22×#4112yes—
1752C2×C4C22×#4112yes—
1753C2×C4C22×#4112yes—
1754C2×C4C22×#4114yes—
1755C2×C4C22×#4112yes—
1756C2×C4C22×#4112yes—
1757C2×C4C22×#4112yes—
1758C2×C4C2×H(5,𝔽2)14yes—
1759C2×C4C2×H(5,𝔽2)12yes—
1760C2×C4C2×H(5,𝔽2)12yes—
1761C2×C4C2×H(5,𝔽2)12yes—
1762C2×C4#58512yes—
1763C22—22no—
1764C22—22no—
1765C22—22no—
1766C22—22no—
1767C22—22no—
1768C22—22no—
1769C22—22no—
1770C22—24no—
1771C22—22no—
1772C22—24no—
1773C22—22no—
1774C22—24no—
1775C22—42no—
1776C22—41no—
1777C22—42no—
1778C22—41no—
1779C22—42no—
1780C22—41no—
1781C22—42no—
1782C22—41no—
1783C22—44no—
1784C22—42no—
1785C22—42no—
1786C22—44no—
1787C22—42no—
1788C22—42no—
1789C22—42no—
1790C22—44no—
1791C22—42no—
1792C22—42no—
1793C22—42no—
1794C22—44no—
1795C22—42no—
1796C22—42no—
1797C22—44no—
1798C22—44no—
1799C22—42no—
1800C22—42no—
1801C22—42no—
1802C22—42no—
1803C22—44no—
1804C22—816no—
1805C22—816no—
1806C22#350614yes—
1807C22C23×#4111yescharacteristic
1808C22C23×#4111yescharacteristic
1809C22C22×H(5,𝔽2)11yescharacteristic
1810C22C22×H(5,𝔽2)11yescharacteristic
1811C22C2×#58511yescharacteristic
1812C22C2×#58511yescharacteristic
1813C22H(7,𝔽2)11yescharacteristic
1814C4—22no—
1815C4—22no—
1816C4—24no—
1817C4—22no—
1818C4—22no—
1819C4—24no—
1820C4—22no—
1821C4—22no—
1822C4—44no—
1823C4—44no—
1824C4—41no—
1825C4—41no—
1826C4—42no—
1827C4—42no—
1828C4—42no—
1829C4—41no—
1830C4—42no—
1831C4—44no—
1832C4—42no—
1833C4—42no—
1834C4—41no—
1835C4—42no—
1836C4—41no—
1837C4—42no—
1838C4—42no—
1839C4—42no—
1840C4—42no—
1841C4#347514yes—
1842C4#351914yes—
1843C2—24no—
1844C2—42no—
1845C2—44no—
1846C2—84no—
1847C2—82no—
1848C2—82no—
1849C2C2×#347511yescharacteristic
1850C2C2×#350611yescharacteristic
1851C2C2×#351911yescharacteristic
1852C2#6293011yescharacteristic
1853C2#6298611yescharacteristic
1854C2#6300811yescharacteristic
1855C2#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. #59858C2semidirect
2. #59822C2semidirect
3. #59689C2semidirect
4. #59637C2semidirect
5. #59302C2semidirect
6. #59227C2semidirect
7. #59021C2semidirect
8. #59018C2semidirect
9. #44968C2semidirect
10. #44959C2semidirect
11. #44130C2semidirect
12. #43278C2semidirect
13. #40009C2semidirect
14. #39909C2semidirect
15. #39763C2semidirect
16. #39735C2semidirect
17. #38174C2semidirect
18. #38080C2semidirect
19. #36596C2semidirect
20. #36587C2semidirect
21. #36416C2semidirect
22. #36235C2semidirect
23. #36182C2semidirect
24. #36157C2semidirect
25. #36101C2semidirect
26. #36101C2semidirect
27. #35865C2semidirect
28. #35785C2semidirect
29. #34772C2semidirect
30. #34737C2semidirect
31. #34330C2semidirect
32. #34305C2semidirect
33. #34186C2semidirect
34. C4×D42C2semidirect
35. C2×#2354C2semidirect
36. C2×#555C22semidirect
38. C2×#553C22semidirect
41. C2×#525C22semidirect
42. C2×#525C22semidirect
46. C22×#117C22semidirect
47. #2859C22semidirect
49. #2856C22semidirect
50. #2856C22semidirect
51. #2851C22semidirect
52. #2850C22semidirect
53. #2847C22semidirect
54. #2847C22semidirect
55. #2800C22semidirect
56. #2800C22semidirect
57. #2797C22semidirect
58. #2793C22semidirect
59. #2781C22semidirect
60. #2781C22semidirect
61. #2779C22semidirect
62. #2753C22semidirect
63. #2753C22semidirect
64. #2752C22semidirect
65. #2750C22semidirect
66. #2733C22semidirect
69. #2706C22semidirect
70. #2703C22semidirect
71. #2695C22semidirect
72. #2685C22semidirect
73. #2684C22semidirect
76. #2648C22semidirect
77. #2648C22semidirect
80. #2610C22semidirect
81. #2609C22semidirect
82. #2603C22semidirect
83. #2602C22semidirect
84. #2597C22semidirect
85. #2597C22semidirect
86. #2595C22semidirect
87. #2593C22semidirect
88. #2589C22semidirect
89. #2587C22semidirect
91. #2571C22semidirect
92. #2571C22semidirect
93. #2570C22semidirect
95. #2566C22semidirect
96. #2562C22semidirect
97. #2559C22semidirect
98. #2557C22semidirect
99. #2554C22semidirect
100. #2554C22semidirect
101. #2552C22semidirect
102. #2548C22semidirect
103. #2548C22semidirect
104. #2543C22semidirect
106. #2541C22semidirect
107. #2541C22semidirect
108. #2538C22semidirect
109. #2538C22semidirect
110. #2537C22semidirect
111. #2535C22semidirect
112. #2529C22semidirect
113. #2522C22semidirect
114. #2520C22semidirect
115. #2513C22semidirect
116. #2513C22semidirect
117. #2513C22semidirect
118. #2513C22semidirect
119. #2513C22semidirect
120. #2512C22semidirect
121. #2512C22semidirect
122. #2512C22semidirect
123. #2512C22semidirect
124. #2511C22semidirect
125. #2507C22semidirect
126. #2505C22semidirect
128. #2504C22semidirect
129. #2502C22semidirect
131. #2500C22semidirect
132. #2500C22semidirect
133. #2499C22semidirect
134. #2497C22semidirect
135. #2496C22semidirect
136. #2492C22semidirect
137. #2490C22semidirect
138. #2489C22semidirect
140. #2485C22semidirect
141. #2485C22semidirect
142. #2481C22semidirect
143. #2481C22semidirect
144. #2476C22semidirect
145. #2474C22semidirect
146. #2472C22semidirect
147. #2470C22semidirect
148. #2468C22semidirect
149. #2467C22semidirect
150. #2459C22semidirect
151. #2457C22semidirect
152. #2456C22semidirect
153. #2456C22semidirect
155. #2447C22semidirect
158. #2445C22semidirect
159. #2445C22semidirect
160. #2444C22semidirect
161. #2444C22semidirect
162. #2444C22semidirect
163. #2441C22semidirect
164. #2440C22semidirect
165. #2439C22semidirect
168. #2425C22semidirect
171. #2424C22semidirect
172. #2424C22semidirect
173. #2422C22semidirect
174. #2422C22semidirect
175. #2422C22semidirect
176. #2418C22semidirect
177. #2418C22semidirect
179. #2417C22semidirect
182. #2416C22semidirect
183. #2415C22semidirect
184. #2415C22semidirect
185. #2415C22semidirect
186. #2414C22semidirect
187. #2414C22semidirect
188. #2414C22semidirect
189. #2414C22semidirect
190. #2414C22semidirect
191. #2414C22semidirect
192. #2413C22semidirect
193. #2412C22semidirect
194. #2411C22semidirect
197. #2407C22semidirect
198. #2407C22semidirect
199. #2402C22semidirect
200. #2396C22semidirect
201. #2392C22semidirect
202. #2392C22semidirect
203. #2373C22semidirect
204. #2370C22semidirect
207. #2366C22semidirect
208. #2366C22semidirect
209. #2366C22semidirect
211. #2364C22semidirect
212. #2363C22semidirect
213. #2363C22semidirect
217. #2361C22semidirect
218. #2361C22semidirect
219. #2361C22semidirect
220. #2361C22semidirect
221. #2359C22semidirect
224. #2358C22semidirect
226. #2357C22semidirect
227. #2357C22semidirect
228. #2357C22semidirect
229. #2355C22semidirect
230. #2355C22semidirect
235. #2354C22semidirect
236. #2354C22semidirect
237. #2354C22semidirect
238. #2354C22semidirect
239. #2354C22semidirect
240. #2354C22semidirect
241. #2354C22semidirect
242. #2354C22semidirect
243. #2354C22semidirect
244. #2354C22semidirect
245. #2354C22semidirect
246. #2352C22semidirect
247. #2349C22semidirect
250. #2346C22semidirect
251. #2346C22semidirect
252. #2345C22semidirect
253. #2339C22semidirect
257. #2335C22semidirect
258. #2334C22semidirect
259. #2333C22semidirect
260. #2330C22semidirect
262. #2324C22semidirect
263. #2312C22semidirect
265. C4×C4⋊Q8C22semidirect
267. C4×#127C22semidirect
268. C4×C22⋊Q8C22semidirect
269. C4×C22⋊Q8C22semidirect
270. C4×C22⋊Q8C22semidirect
275. C4×#121C22semidirect
276. C4×#121C22semidirect
277. C4×#121C22semidirect
280. #2297C22semidirect
281. #2296C22semidirect
282. #2295C22semidirect
285. #2290C22semidirect
286. C2×#388C22semidirect
287. #2285C22semidirect
288. #2285C22semidirect
289. C2×#384C22semidirect
290. #2280C22semidirect
291. #2280C22semidirect
292. C2×#380C22semidirect
293. #2275C22semidirect
294. #2274C22semidirect
297. C2×C4×C4⋊C4C22semidirect
298. C2×C4×C4⋊C4C22semidirect
974. C4×D4#41semidirect

Maximal subgroups

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

subgroupindex
#598582
#598222
#596892
#596372
#593022
#592272
#590212
#590182
#449682
#449592
#441302
#432782
#400092
#399092
#397632
#397352
#381742
#380802
#365962
#365872
#364162
#362352
#361822
#361572
#361012
#358652
#357852
#347722
#347372
#343302
#343052
#341862
C4×D422
C2×#23542