Finite Group Databasebeta

← #8095612

Subgroups — #8095612

Order 512.

6085 conjugacy classes of subgroups.

The subgroup lattice has 1994 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53144C212yesmaximal, complemented
2#53116C212yesmaximal, complemented
3#53080C212yesmaximal, complemented
4#53074C212yesmaximal, complemented
5#53065C212yesmaximal, complemented
6#53046C212yesmaximal, complemented
7#53046C212yesmaximal, complemented
8#53046C212yesmaximal, complemented
9#52367C214yesmaximal, complemented
10#52310C214yesmaximal, complemented
11#46084C212yesmaximal, complemented
12#46054C212yesmaximal, complemented
13#46043C212yesmaximal, complemented
14#46016C212yesmaximal, complemented
15#45601C212yesmaximal, complemented
16#45601C212yesmaximal, complemented
17#45601C212yesmaximal, complemented
18#45568C214yesmaximal, complemented
19#45539C214yesmaximal, complemented
20#45509C212yesmaximal, complemented
21#35644C211yesmaximal, characteristic, complemented
22#35628C211yesmaximal, characteristic, complemented
23#35584C211yesmaximal, characteristic, complemented
24#35556C211yesmaximal, characteristic, complemented
25#35542C211yesmaximal, characteristic, complemented
26#35542C211yesmaximal, characteristic, complemented
27#35312C211yesmaximal, characteristic, complemented
28#35305C211yesmaximal, characteristic, complemented
29#35264C211yesmaximal, characteristic, complemented
30#35250C211yesmaximal, characteristic, complemented
31#35149C211yesmaximal, characteristic, complemented
32#35149C211yesmaximal, characteristic, complemented
33#34946C211yesmaximal, characteristic, complemented
34#34736C211yesmaximal, characteristic, complemented
35C2×#2407C211yesmaximal, characteristic, complemented
36C23×#41C2211yescharacteristic
37C23×#41C2211yescharacteristic, complemented
38C2×#544C2211yescharacteristic, complemented
39C2×#544C2211yescharacteristic, complemented
40C2×#536C2211yescharacteristic
41C2×#536C2211yescharacteristic
42C2×#535C2211yescharacteristic
43C2×#535C2211yescharacteristic
44C2×#533C2211yescharacteristic, complemented
45C2×#525C2211yescharacteristic
46C2×#525C2211yescharacteristic
47C22×C22⋊Q8C2211yescharacteristic
48C22×#121C2211yescharacteristic
49C22×C4×D4C2211yescharacteristic
50#2862C2212yescomplemented
51#2861C2212yescomplemented
52#2861C2212yescomplemented
53#2858C2212yescomplemented
54#2849C2214yescomplemented
55#2849C2214yescomplemented
56#2848C2212yescomplemented
57#2848C2212yescomplemented
58#2847C2212yescomplemented
59#2847C2212yescomplemented
60#2835C2214yescomplemented
61#2832C2214yescomplemented
62#2832C2214yescomplemented
63#2832C2214yescomplemented
64#2828C2214yescomplemented
65#2828C2214yescomplemented
66#2828C2214yescomplemented
67#2828C2214yescomplemented
68#2828C2214yescomplemented
69#2828C2214yescomplemented
70#2824C2214yescomplemented
71#2824C2214yescomplemented
72#2824C2214yescomplemented
73#2824C2214yescomplemented
74#2824C2214yescomplemented
75#2824C2214yescomplemented
76#2819C2214yescomplemented
77#2819C2214yescomplemented
78#2819C2214yescomplemented
79#2812C2214yescomplemented
80#2804C2214yescomplemented
81#2804C2214yescomplemented
82#2804C2214yescomplemented
83#2785C2214yescomplemented
84#2782C2214yescomplemented
85#2782C2214yescomplemented
86#2782C2214yescomplemented
87#2782C2214yescomplemented
88#2782C2214yescomplemented
89#2782C2214yescomplemented
90#2763C2214yescomplemented
91#2763C2214yescomplemented
92#2763C2214yescomplemented
93#2753C2214yescomplemented
94#2753C2214yescomplemented
95#2753C2214yescomplemented
96#2753C2214yescomplemented
97#2753C2214yescomplemented
98#2753C2214yescomplemented
99#2753C2214yescomplemented
100#2753C2214yescomplemented
101#2753C2214yescomplemented
102#2753C2214yescomplemented
103#2753C2214yescomplemented
104#2753C2214yescomplemented
105#2733C2214yescomplemented
106#2733C2214yescomplemented
107#2733C2214yescomplemented
108#2712C2214yescomplemented
109#2712C2214yescomplemented
110#2712C2214yescomplemented
111#2712C2214yescomplemented
112#2712C2214yescomplemented
113#2712C2214yescomplemented
114#2684C2214yescomplemented
115#2684C2214yescomplemented
116#2684C2214yescomplemented
117#2670C2214yescomplemented
118#2670C2214yescomplemented
119#2670C2214yescomplemented
120#2642C2212yescomplemented
121#2641C2212yescomplemented
122#2640C2212yescomplemented
123#2640C2212yescomplemented
124#2616C2212yescomplemented
125#2616C2212yescomplemented
126#2615C2212yescomplemented
127#2615C2212yescomplemented
128#2613C2214yescomplemented
129#2613C2214yescomplemented
130#2592C2212yescomplemented
131#2592C2212yescomplemented
132#2592C2212yescomplemented
133#2592C2212yescomplemented
134#2568C2212yescomplemented
135#2568C2212yescomplemented
136#2563C2211yescharacteristic, complemented
137#2563C2212yescomplemented
138#2563C2212yescomplemented
139#2563C2211yescharacteristic, complemented
140#2562C2211yescharacteristic, complemented
141#2562C2212yescomplemented
142#2562C2212yescomplemented
143#2562C2211yescharacteristic, complemented
144#2562C2212yescomplemented
145#2562C2212yescomplemented
146#2562C2211yescharacteristic, complemented
147#2562C2211yescharacteristic, complemented
148#2561C2212yes—
149#2561C2214yes—
150#2561C2214yescomplemented
151#2561C2212yescomplemented
152#2548C2212yescomplemented
153#2548C2212yescomplemented
154#2547C2211yescharacteristic, complemented
155#2547C2212yescomplemented
156#2547C2212yescomplemented
157#2547C2211yescharacteristic, complemented
158#2503C2214yescomplemented
159#2503C2212yescomplemented
160#2492C2212yescomplemented
161#2492C2212yescomplemented
162#2492C2212yescomplemented
163#2492C2212yescomplemented
164#2492C2212yescomplemented
165#2492C2212yescomplemented
166#2492C2212yescomplemented
167#2492C2212yescomplemented
168#2492C2212yescomplemented
169#2492C2212yescomplemented
170#2491C2212yescomplemented
171#2491C2212yescomplemented
172#2491C2212yescomplemented
173#2491C2212yescomplemented
174#2491C2212yescomplemented
175#2491C2212yescomplemented
176#2491C2212yescomplemented
177#2491C2212yescomplemented
178#2491C2212yescomplemented
179#2491C2212yescomplemented
180#2490C2212yescomplemented
181#2490C2212yescomplemented
182#2490C2212yescomplemented
183#2490C2212yescomplemented
184#2490C2212yescomplemented
185#2490C2212yescomplemented
186#2490C2212yescomplemented
187#2490C2212yescomplemented
188#2490C2212yescomplemented
189#2490C2212yescomplemented
190#2489C2212yescomplemented
191#2489C2212yescomplemented
192#2489C2212yescomplemented
193#2489C2212yescomplemented
194#2489C2212yescomplemented
195#2489C2212yescomplemented
196#2489C2212yescomplemented
197#2489C2212yescomplemented
198#2489C2212yescomplemented
199#2489C2212yescomplemented
200#2488C2214yescomplemented
201#2488C2214yescomplemented
202#2488C2214yescomplemented
203#2488C2214yescomplemented
204#2488C2214yescomplemented
205#2488C2214yescomplemented
206#2472C2214yescomplemented
207#2472C2214yescomplemented
208#2472C2214yescomplemented
209#2472C2214yescomplemented
210#2472C2214yescomplemented
211#2472C2214yescomplemented
212#2436C2212yescomplemented
213#2435C2214yes—
214#2435C2212yes—
215#2435C2212yescomplemented
216#2434C2212yescomplemented
217#2433C2212yescomplemented
218#2432C2212yescomplemented
219#2432C2212yescomplemented
220#2432C2212yescomplemented
221#2432C2212yescomplemented
222#2432C2212yescomplemented
223#2432C2212yescomplemented
224#2431C2212yescomplemented
225#2431C2212yescomplemented
226#2431C2212yescomplemented
227#2431C2212yescomplemented
228#2431C2212yescomplemented
229#2431C2212yescomplemented
230#2409C2211yescharacteristic, complemented
231#2409C2211yescharacteristic, complemented
232#2408C2211yescharacteristic, complemented
233#2408C2211yescharacteristic, complemented
234#2407C2212yes—
235#2407C2212yes—
236#2407C2212yes—
237#2407C2212yes—
238#2407C2211yescharacteristic, complemented
239#2407C2212yescomplemented
240#2407C2212yescomplemented
241#2407C2212yescomplemented
242#2407C2212yescomplemented
243#2407C2212yescomplemented
244#2407C2212yescomplemented
245#2407C2212yescomplemented
246#2407C2212yescomplemented
247#2407C2212yescomplemented
248#2407C2212yescomplemented
249#2407C2212yescomplemented
250#2407C2211yescharacteristic, complemented
251#2407C2212yescomplemented
252#2407C2211yescharacteristic, complemented
253#2407C2211yescharacteristic, complemented
254#2406C2214yes—
255#2406C2212yes—
256#2405C2212yes—
257#2405C2214yes—
258#2404C2212yes—
259#2404C2214yes—
260#2403C2214yes—
261#2403C2212yes—
262#2398C2212yescomplemented
263#2398C2212yescomplemented
264#2388C2212yescomplemented
265#2388C2212yescomplemented
266C2×#394C2212yescomplemented
267C2×#392C2212yes—
268#2379C2214yescomplemented
269#2379C2214yescomplemented
270#2379C2214yescomplemented
271#2375C2214yescomplemented
272#2311C2211yescharacteristic
273#2311C2211yescharacteristic
274#2311C2211yescharacteristic
275#2311C2211yescharacteristic
276#2310C2211yescharacteristic, complemented
277#2310C2211yescharacteristic, complemented
278#2309C2211yescharacteristic, complemented
279#2309C2211yescharacteristic, complemented
280C4×#124C2212yescomplemented
281C4×#124C2212yescomplemented
282C4×#120C2212yescomplemented
283C4×#120C2212yescomplemented
284#2297C2211yescharacteristic
285#2297C2211yescharacteristic
286C2×#391C2211yescharacteristic, complemented
287C2×#390C2211yescharacteristic, complemented
288C2×#386C2212yes—
289C2×#385C2212yescomplemented
290#2280C2211yescharacteristic
291#2280C2211yescharacteristic
292#2280C2211yescharacteristic
293#2280C2211yescharacteristic, complemented
294#2280C2211yescharacteristic, complemented
295C2×#380C2211yescharacteristic, complemented
296#2274C2211yescharacteristic, complemented
297#2274C2211yescharacteristic, complemented
298C4×#117C2211yescharacteristic, complemented
299C22×#41—44no—
300C22×#41—44no—
301C22×#41—44no—
302C22×#41—44no—
303C22×#41—44no—
304C22×#41—44no—
305C22×#41C2311yescharacteristic
306C22×#41C2311yescharacteristic
307C22×#41C2312yes—
308C22×#41C2312yes—
309C22×#41C2311yescharacteristic
310C22×#41C2311yescharacteristic
311C22×#41C2312yes—
312C22×#41C2312yes—
313C22×#41C2312yes—
314C22×#41C2312yes—
315C23×Q8C2311yescharacteristic
316C23×Q8C2311yescharacteristic
317C23×D4C2311yescharacteristic
318C23×D4C2312yes—
319C23×D4C2311yescharacteristic
320C23×D4C2312yes—
321C23×D4C2311yescharacteristic
322C23×D4C2312yes—
323C24×C4C2311yescharacteristic
324C24×C4C2311yescharacteristic
325C24×C4C2312yes—
326C24×C4C2312yes—
327#544—44no—
328#544—44no—
329#536—44no—
330#536—44no—
331#535—44no—
332#535—44no—
333#533—44no—
334C2×C4⋊Q8C2311yescharacteristic
335C2×C4⋊Q8C2312yes—
336C2×C4⋊Q8C2312yes—
337C2×C4⋊Q8C2312yes—
338C2×C4⋊Q8C2312yes—
339C2×C4⋊Q8C2312yes—
340C2×C4⋊Q8C2312yes—
341C2×C4⋊Q8C2311yescharacteristic
342C2×#127C2312yes—
343C2×#127C2312yes—
344C2×#125C2311yescharacteristic
345C2×#125C2311yescharacteristic
346C2×#125C2312yes—
347C2×#125C2312yes—
348C2×#125C2312yes—
349C2×#125C2312yes—
350C2×#124C2312yes—
351C2×#124C2314yes—
352C2×#124C2312yes—
353C2×#124C2312yes—
354C2×#124C2312yes—
355C2×#124C2312yes—
356C2×#124C2314yes—
357C2×#124C2314yes—
358C2×#124C2312yes—
359C2×#124C2314yes—
360C2×#124C2314yes—
361C2×#124C2314yes—
362C2×#124C2314yes—
363C2×#124C2314yes—
364#525—44no—
365#525—44no—
366C2×#123C2312yes—
367C2×#123C2312yes—
368C2×#123C2314yes—
369C2×#123C2314yes—
370C2×C22⋊Q8—44no—
371C2×C22⋊Q8C2312yes—
372C2×C22⋊Q8C2314yes—
373C2×C22⋊Q8C2314yes—
374C2×C22⋊Q8C2312yes—
375C2×C22⋊Q8C2312yes—
376C2×C22⋊Q8C2312yes—
377C2×C22⋊Q8C2312yes—
378C2×C22⋊Q8C2312yes—
379C2×C22⋊Q8C2312yes—
380C2×C22⋊Q8C2312yes—
381C2×C22⋊Q8C2312yes—
382C2×C22⋊Q8C2311yescharacteristic
383C2×C22⋊Q8C2311yescharacteristic
384C2×C22⋊Q8C2311yescharacteristic
385C2×C22⋊Q8C2311yescharacteristic
386C2×C22⋊Q8C2312yes—
387C2×#121—44no—
388C2×#121C2312yes—
389C2×#121C2312yes—
390C2×#121C2312yes—
391C2×#121C2312yes—
392C2×#121C2312yes—
393C2×#121C2312yes—
394C2×#121C2312yes—
395C2×#121C2312yes—
396C2×#121C2311yescharacteristic
397C2×#121C2311yescharacteristic
398C2×#121C2311yescharacteristic
399C2×#121C2311yescharacteristic
400C2×#120C2314yes—
401C2×#120C2314yes—
402C2×#120C2314yes—
403C2×#120C2312yes—
404C2×#120C2312yes—
405C2×#120C2312yes—
406C2×#120C2312yes—
407C2×#120C2314yes—
408C2×C4×Q8C2312yes—
409C2×C4×Q8C2312yes—
410C2×C4×D4—44no—
411C2×C4×D4C2311yescharacteristic
412C2×C4×D4C2311yescharacteristic
413C2×C4×D4C2312yes—
414C2×C4×D4C2312yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2312yes—
417C2×C4×D4C2311yescharacteristic
418C2×C4×D4C2311yescharacteristic
419C2×C4×D4C2311yescharacteristic
420C2×C4×D4C2311yescharacteristic
421C2×C4×D4C2311yescharacteristic
422C2×C4×D4C2311yescharacteristic
423C2×#117C2311yescharacteristic
424C2×#117C2311yescharacteristic
425C2×#117C2311yescharacteristic
426C2×#117C2311yescharacteristic
427C2×#117C2311yescharacteristic
428C2×#117C2311yescharacteristic
429C22×C4⋊C4C2311yescharacteristic
430C22×C4⋊C4C2311yescharacteristic
431C22×C4⋊C4C2312yes—
432C22×C4⋊C4C2311yescharacteristic
433C22×C22⋊C4C2312yes—
434C22×C22⋊C4C2311yescharacteristic
435C22×C22⋊C4C2311yescharacteristic
436C22×C22⋊C4C2312yes—
437C22×C22⋊C4C2312yes—
438C22×C22⋊C4C2312yes—
439C22×C22⋊C4C2312yes—
440C22×C42C2311yescharacteristic
441#400C2312yes—
442#400C2314yes—
443#400C2314yes—
444#400C2312yes—
445#400C2314yes—
446#400C2314yes—
447#400C2312yes—
448#400C2312yes—
449#400C2314yes—
450#400C2314yes—
451#400C2314yes—
452#400C2314yes—
453#400C2314yes—
454#400C2314yes—
455#400C2314yes—
456#400C2314yes—
457#400C2314yes—
458#400C2314yes—
459#400C2314yes—
460#400C2314yes—
461#397C2312yes—
462#397C2314yes—
463#397C2312yes—
464#397C2314yes—
465#397C2312yes—
466#397C2314yes—
467#397C2312yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#397C2314yes—
477#397C2314yes—
478#397C2314yes—
479#397C2314yes—
480#397C2314yes—
481#395C2314yes—
482#395C2314yes—
483#395C2312yes—
484#395C2312yes—
485#394C2312yes—
486#394C2314yes—
487#394C2314yes—
488#394C2312yes—
489#394C2314yes—
490#394C2314yes—
491#394C2312yes—
492#394C2312yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2312yes—
505#394C2312yes—
506#394C2312yes—
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#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2312yes—
526#394C2312yes—
527#394C2312yes—
528#394C2314yes—
529#393C2312yes—
530#393C2312yes—
531#393C2314yes—
532#393C2314yes—
533#393C2312yes—
534#393C2312yes—
535#393C2314yes—
536#393C2314yes—
537#393C2314yes—
538#393C2314yes—
539#393C2314yes—
540#393C2314yes—
541#393C2314yes—
542#393C2314yes—
543#393C2314yes—
544#393C2314yes—
545#393C2314yes—
546#393C2314yes—
547#393C2314yes—
548#393C2314yes—
549#393C2312yes—
550#393C2314yes—
551#393C2312yes—
552#393C2314yes—
553#392C2312yes—
554#392C2312yes—
555#392C2312yes—
556#392C2314yes—
557#392C2314yes—
558#392C2314yes—
559#392C2314yes—
560#392C2314yes—
561#392C2314yes—
562#392C2314yes—
563#392C2314yes—
564#392C2314yes—
565#392C2314yes—
566#392C2314yes—
567#392C2314yes—
568#392C2314yes—
569#392C2312yes—
570#392C2314yes—
571#392C2314yes—
572#392C2314yes—
573#392C2312yes—
574#392C2312yes—
575#392C2314yes—
576#392C2314yes—
577#391C2312yes—
578#391C2312yes—
579#391C2312yes—
580#391C2312yes—
581#391C2312yes—
582#391C2312yes—
583#391C2312yes—
584#391C2312yes—
585#391C2312yes—
586#391C2312yes—
587#391C2312yes—
588#391C2312yes—
589#391C2311yescharacteristic
590#391C2311yescharacteristic
591#391C2314yes—
592#391C2312yes—
593#391C2312yes—
594#391C2314yes—
595#391C2314yes—
596#391C2314yes—
597#391C2311yescharacteristic
598#391C2311yescharacteristic
599#391C2314yes—
600#391C2312yes—
601#391C2314yes—
602#391C2314yes—
603#391C2314yes—
604#391C2312yes—
605#391C2312yes—
606#391C2312yes—
607#390C2312yes—
608#390C2314yes—
609#390C2314yes—
610#390C2312yes—
611#390C2312yes—
612#390C2312yes—
613#390C2312yes—
614#390C2312yes—
615#390C2312yes—
616#390C2312yes—
617#390C2312yes—
618#390C2312yes—
619#390C2312yes—
620#390C2312yes—
621#390C2312yes—
622#390C2312yes—
623#390C2314yes—
624#390C2314yes—
625#390C2314yes—
626#390C2311yescharacteristic
627#390C2311yescharacteristic
628#390C2312yes—
629#390C2312yes—
630#390C2314yes—
631#390C2311yescharacteristic
632#390C2314yes—
633#390C2314yes—
634#390C2311yescharacteristic
635#390C2312yes—
636#390C2312yes—
637#388C2312yes—
638#388C2312yes—
639#388C2312yes—
640#388C2312yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2312yes—
646#388C2312yes—
647#388C2312yes—
648#388C2312yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2312yes—
682#386C2312yes—
683#386C2312yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2312yes—
701#386C2312yes—
702#386C2312yes—
703#386C2312yes—
704#386C2312yes—
705#386C2312yes—
706#386C2312yes—
707#386C2314yes—
708#386C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2314yes—
724#385C2312yes—
725#385C2312yes—
726#385C2312yes—
727#385C2314yes—
728#385C2312yes—
729#385C2312yes—
730#385C2312yes—
731#385C2314yes—
732#385C2314yes—
733#382C2312yes—
734#382C2314yes—
735#382C2314yes—
736#382C2312yes—
737#382C2314yes—
738#382C2314yes—
739#382C2314yes—
740#382C2314yes—
741#382C2314yes—
742#382C2314yes—
743#381C2314yes—
744#381C2314yes—
745#381C2312yes—
746#381C2312yes—
747#381C2312yes—
748#381C2312yes—
749#381C2312yes—
750#380C2311yescharacteristic
751#380C2311yescharacteristic
752#380C2311yescharacteristic
753#380C2311yescharacteristic
754#380C2312yes—
755#380C2312yes—
756#380C2312yes—
757#380C2312yes—
758#380C2311yescharacteristic
759#380C2311yescharacteristic
760#380C2312yes—
761#380C2312yes—
762#380C2311yescharacteristic
763#380C2311yescharacteristic
764#380C2311yescharacteristic
765#380C2311yescharacteristic
766#380C2311yescharacteristic
767#380C2311yescharacteristic
768#380C2312yes—
769#380C2312yes—
770#380C2311yescharacteristic
771#380C2311yescharacteristic
772#380C2311yescharacteristic
773#380C2311yescharacteristic
774#380C2312yes—
775#380C2312yes—
776#380C2312yes—
777#380C2312yes—
778#380C2311yescharacteristic
779#380C2311yescharacteristic
780#380C2311yescharacteristic
781#380C2311yescharacteristic
782#379C2312yes—
783#379C2312yes—
784#379C2312yes—
785#379C2314yes—
786#379C2314yes—
787#379C2312yes—
788#379C2312yes—
789#379C2314yes—
790#379C2314yes—
791#379C2312yes—
792#379C2312yes—
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2311yescharacteristic
800C4×C4⋊C4C2311yescharacteristic
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
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—
820C4×C22⋊C4C2312yes—
821C4×C22⋊C4C2312yes—
822C4×C22⋊C4C2312yes—
823#376C2312yes—
824C2×#95C2312yes—
825C2×#95C2312yes—
826C2×#95C2312yes—
827C43C2312yes—
828C25C2411yescharacteristic
829C25C2411yescharacteristic
830C25C2412yes—
831C25C2412yes—
832C2×#41—24no—
833C2×#41—24no—
834C2×#41—24no—
835C2×#41—24no—
836C2×#41—24no—
837C2×#41—24no—
838C2×#41—44no—
839C2×#41—44no—
840C2×#41—44no—
841C2×#41—44no—
842C2×#41—44no—
843C2×#41—44no—
844C2×#41—44no—
845C2×#41—44no—
846C2×#41—44no—
847C2×#41—44no—
848C2×#41—44no—
849C2×#41—44no—
850C2×#41—42no—
851C2×#41—44no—
852C2×#41—44no—
853C2×#41—42no—
854C2×#41—42no—
855C2×#41—42no—
856C2×#41—44no—
857C2×#41—44no—
858C2×#41—44no—
859C2×#41—44no—
860C2×#41—42no—
861C2×#41—42no—
862C2×#41—464no—
863C2×#41—464no—
864C22×Q8—24no—
865C22×Q8—24no—
866C22×Q8—24no—
867C22×Q8—42no—
868C22×Q8—42no—
869C22×Q8—42no—
870C22×Q8C2412yes—
871C22×Q8C2412yes—
872C22×Q8C2411yescharacteristic
873C22×Q8C2411yescharacteristic
874C22×Q8C2412yes—
875C22×Q8C2412yes—
876C22×Q8C2414yes—
877C22×Q8C2414yes—
878C22×Q8C2412yes—
879C22×D4—24no—
880C22×D4—24no—
881C22×D4—24no—
882C22×D4—42no—
883C22×D4—42no—
884C22×D4—42no—
885C22×D4—42no—
886C22×D4—42no—
887C22×D4—44no—
888C22×D4—44no—
889C22×D4—44no—
890C22×D4—44no—
891C22×D4—42no—
892C22×D4—44no—
893C22×D4—44no—
894C22×D4—44no—
895C22×D4—44no—
896C22×D4—82no—
897C22×D4C2412yes—
898C22×D4C2412yes—
899C22×D4C2412yes—
900C22×D4C2412yes—
901C22×D4C2411yescharacteristic
902C22×D4C2411yescharacteristic
903C22×D4C2411yescharacteristic
904C22×D4C2411yescharacteristic
905C22×D4C2411yescharacteristic
906C22×D4C2414yes—
907C22×D4C2411yescharacteristic
908C22×D4C2412yes—
909C22×D4C2412yes—
910C22×D4C2412yes—
911C22×D4C2412yes—
912C22×D4C2414yes—
913C22×D4C2414yes—
914C22×D4C2414yes—
915C22×D4C2414yes—
916C22×D4C2414yes—
917C22×D4C2412yes—
918C22×D4C2412yes—
919C22×D4C2412yes—
920C22×D4C2414yes—
921C22×D4C2414yes—
922C23×C4—24no—
923C23×C4—24no—
924C23×C4—24no—
925C23×C4—24no—
926C23×C4—24no—
927C23×C4—24no—
928C23×C4—44no—
929C23×C4—44no—
930C23×C4—44no—
931C23×C4—44no—
932C23×C4—44no—
933C23×C4—44no—
934C23×C4C2411yescharacteristic
935C23×C4C2411yescharacteristic
936C23×C4C2412yes—
937C23×C4C2411yescharacteristic
938C23×C4C2411yescharacteristic
939C23×C4C2411yescharacteristic
940C23×C4C2411yescharacteristic
941C23×C4C2411yescharacteristic
942C23×C4C2411yescharacteristic
943C23×C4C2411yescharacteristic
944C23×C4C2411yescharacteristic
945C23×C4C2412yes—
946C23×C4C2412yes—
947C23×C4C2411yescharacteristic
948C23×C4C2412yes—
949C23×C4C2411yescharacteristic
950C23×C4C2412yes—
951C23×C4C2412yes—
952C23×C4C2412yes—
953C23×C4C2412yes—
954C23×C4C2414yes—
955C23×C4C2414yes—
956C23×C4C2411yescharacteristic
957C4⋊Q8—42no—
958C4⋊Q8—42no—
959C4⋊Q8—44no—
960C4⋊Q8—44no—
961C4⋊Q8—44no—
962C4⋊Q8—44no—
963C4⋊Q8—44no—
964C4⋊Q8—44no—
965#127—44no—
966#127—44no—
967#125—42no—
968#125—42no—
969#125—44no—
970#125—44no—
971#125—44no—
972#125—44no—
973#124—48no—
974#124—44no—
975#124—44no—
976#124—44no—
977#124—44no—
978#124—44no—
979#124—44no—
980#124—48no—
981#124—48no—
982#124—84no—
983#124—84no—
984#124—84no—
985#124—84no—
986#124—84no—
987#123—44no—
988#123—44no—
989#123—48no—
990#123—48no—
991C22⋊Q8—44no—
992C22⋊Q8—44no—
993C22⋊Q8—48no—
994C22⋊Q8—48no—
995C22⋊Q8—44no—
996C22⋊Q8—44no—
997C22⋊Q8—44no—
998C22⋊Q8—44no—
999C22⋊Q8—42no—
1000C22⋊Q8—42no—
1001C22⋊Q8—42no—
1002C22⋊Q8—42no—
1003C22⋊Q8—44no—
1004C22⋊Q8—44no—
1005C22⋊Q8—44no—
1006C22⋊Q8—44no—
1007#121—44no—
1008#121—44no—
1009#121—44no—
1010#121—44no—
1011#121—42no—
1012#121—42no—
1013#121—42no—
1014#121—42no—
1015#121—44no—
1016#121—44no—
1017#121—44no—
1018#121—44no—
1019#120—44no—
1020#120—48no—
1021#120—44no—
1022#120—44no—
1023#120—44no—
1024#120—48no—
1025#120—48no—
1026#120—84no—
1027C4×Q8—44no—
1028C4×Q8—44no—
1029C4×D4—42no—
1030C4×D4—42no—
1031C4×D4—42no—
1032C4×D4—42no—
1033C4×D4—42no—
1034C4×D4—42no—
1035C4×D4—42no—
1036C4×D4—42no—
1037C4×D4—44no—
1038C4×D4—44no—
1039C4×D4—44no—
1040C4×D4—44no—
1041#117—24no—
1042#117—24no—
1043#117—24no—
1044#117—24no—
1045#117—24no—
1046#117—24no—
1047C2×C4⋊C4—24no—
1048C2×C4⋊C4—24no—
1049C2×C4⋊C4—42no—
1050C2×C4⋊C4—44no—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2411yescharacteristic
1056C2×C4⋊C4C2411yescharacteristic
1057C2×C4⋊C4C2411yescharacteristic
1058C2×C4⋊C4C2411yescharacteristic
1059C2×C4⋊C4C2411yescharacteristic
1060C2×C4⋊C4C2411yescharacteristic
1061C2×C4⋊C4C2411yescharacteristic
1062C2×C4⋊C4C2411yescharacteristic
1063C2×C4⋊C4C2411yescharacteristic
1064C2×C4⋊C4C2411yescharacteristic
1065C2×C4⋊C4C2411yescharacteristic
1066C2×C4⋊C4C2411yescharacteristic
1067C2×C4⋊C4C2411yescharacteristic
1068C2×C4⋊C4C2411yescharacteristic
1069C2×C4⋊C4C2411yescharacteristic
1070C2×C4⋊C4C2411yescharacteristic
1071C2×C4⋊C4C2414yes—
1072C2×C4⋊C4C2414yes—
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2414yes—
1084C2×C4⋊C4C2414yes—
1085C2×C4⋊C4C2414yes—
1086C2×C4⋊C4C2414yes—
1087C2×C4⋊C4C2414yes—
1088C2×C4⋊C4C2414yes—
1089C2×C4⋊C4C2414yes—
1090C2×C4⋊C4C2414yes—
1091C2×C4⋊C4C2414yes—
1092C2×C4⋊C4C2414yes—
1093C2×C22⋊C4—44no—
1094C2×C22⋊C4—42no—
1095C2×C22⋊C4—42no—
1096C2×C22⋊C4—44no—
1097C2×C22⋊C4—44no—
1098C2×C22⋊C4—82no—
1099C2×C22⋊C4—82no—
1100C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2411yescharacteristic
1113C2×C22⋊C4C2411yescharacteristic
1114C2×C22⋊C4C2411yescharacteristic
1115C2×C22⋊C4C2411yescharacteristic
1116C2×C22⋊C4C2411yescharacteristic
1117C2×C22⋊C4C2411yescharacteristic
1118C2×C22⋊C4C2411yescharacteristic
1119C2×C22⋊C4C2411yescharacteristic
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⋊C4C2414yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2414yes—
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2414yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2414yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2414yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2414yes—
1183C2×C22⋊C4C2414yes—
1184C2×C42—24no—
1185C2×C42C2412yes—
1186C2×C42C2412yes—
1187C2×C42C2412yes—
1188C2×C42C2412yes—
1189C2×C42C2412yes—
1190C2×C42C2412yes—
1191C2×C42C2411yescharacteristic
1192C2×C42C2411yescharacteristic
1193C2×C42C2411yescharacteristic
1194C2×C42C2411yescharacteristic
1195C2×C42C2412yes—
1196C2×C42C2412yes—
1197C2×C42C2414yes—
1198C2×C42C2414yes—
1199C2×C42C2412yes—
1200C2×C42C2414yes—
1201C2×C42C2414yes—
1202C2×C42C2412yes—
1203#95C2414yes—
1204#95C2414yes—
1205#95C2414yes—
1206#95C2414yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2414yes—
1214#95C2414yes—
1215#95C2414yes—
1216#95C2414yes—
1217#95C2412yes—
1218#95C2412yes—
1219#95C2412yes—
1220#95C2412yes—
1221#95C2412yes—
1222#95C2412yes—
1223#95C2412yes—
1224#95C2412yes—
1225#95C2412yes—
1226#95C2412yes—
1227#95C2412yes—
1228#95C2412yes—
1229#95C2412yes—
1230#95C2412yes—
1231#95C2412yes—
1232#95C2412yes—
1233#95C2412yes—
1234#95C2412yes—
1235#95C2412yes—
1236#95C2412yes—
1237#95C2412yes—
1238#95C2412yes—
1239#95C2412yes—
1240#95C2412yes—
1241#95C2412yes—
1242#95C2412yes—
1243#95C2412yes—
1244#95C2412yes—
1245#95C2414yes—
1246#95C2414yes—
1247#95C2414yes—
1248#95C2414yes—
1249#95C2414yes—
1250#95C2414yes—
1251#95C2414yes—
1252#95C2414yes—
1253#95C2414yes—
1254#95C2414yes—
1255#95C2414yes—
1256#95C2414yes—
1257#95C2414yes—
1258#95C2414yes—
1259#95C2414yes—
1260#95C2414yes—
1261C24—22no—
1262C24—24no—
1263C24—22no—
1264C24—22no—
1265C24—22no—
1266C24—22no—
1267C24—22no—
1268C24—22no—
1269C24—24no—
1270C24—24no—
1271C24—24no—
1272C24—42no—
1273C24—41no—
1274C24—42no—
1275C24—42no—
1276C24—42no—
1277C24—42no—
1278C24—41no—
1279C24—41no—
1280C24—41no—
1281C24—42no—
1282C24—41no—
1283C24—41no—
1284C24—42no—
1285C24—41no—
1286C24—42no—
1287C24—42no—
1288C24—42no—
1289C24C2511yescharacteristic
1290C24C2512yes—
1291C24C2512yes—
1292C24C2511yescharacteristic
1293C24C2511yescharacteristic
1294C24C2514yes—
1295C24C2511yescharacteristic
1296C24C2511yescharacteristic
1297#41—432no—
1298#41—432no—
1299#41—432no—
1300#41—416no—
1301#41—416no—
1302#41—432no—
1303#41—432no—
1304#41—432no—
1305#41—416no—
1306#41—416no—
1307C2×Q8—24no—
1308C2×Q8—24no—
1309C2×Q8—24no—
1310C2×Q8—24no—
1311C2×Q8—22no—
1312C2×Q8—22no—
1313C2×Q8—22no—
1314C2×Q8—22no—
1315C2×Q8—24no—
1316C2×Q8—24no—
1317C2×Q8—22no—
1318C2×Q8—22no—
1319C2×Q8—24no—
1320C2×Q8—42no—
1321C2×Q8—42no—
1322C2×Q8—42no—
1323C2×Q8—42no—
1324C2×Q8—42no—
1325C2×Q8—42no—
1326C2×Q8—42no—
1327C2×Q8—42no—
1328C2×Q8—44no—
1329C2×Q8—44no—
1330C2×Q8—44no—
1331C2×Q8—44no—
1332C2×Q8—44no—
1333C2×Q8—44no—
1334C2×Q8—416no—
1335C2×Q8—416no—
1336C2×D4—24no—
1337C2×D4—24no—
1338C2×D4—24no—
1339C2×D4—24no—
1340C2×D4—24no—
1341C2×D4—24no—
1342C2×D4—22no—
1343C2×D4—22no—
1344C2×D4—28no—
1345C2×D4—24no—
1346C2×D4—24no—
1347C2×D4—24no—
1348C2×D4—24no—
1349C2×D4—22no—
1350C2×D4—22no—
1351C2×D4—22no—
1352C2×D4—22no—
1353C2×D4—24no—
1354C2×D4—24no—
1355C2×D4—22no—
1356C2×D4—22no—
1357C2×D4—22no—
1358C2×D4—22no—
1359C2×D4—41no—
1360C2×D4—41no—
1361C2×D4—41no—
1362C2×D4—41no—
1363C2×D4—41no—
1364C2×D4—41no—
1365C2×D4—41no—
1366C2×D4—41no—
1367C2×D4—42no—
1368C2×D4—42no—
1369C2×D4—42no—
1370C2×D4—42no—
1371C2×D4—42no—
1372C2×D4—42no—
1373C2×D4—44no—
1374C2×D4—44no—
1375C2×D4—44no—
1376C2×D4—44no—
1377C2×D4—44no—
1378C2×D4—44no—
1379C2×D4—42no—
1380C2×D4—42no—
1381C2×D4—42no—
1382C2×D4—42no—
1383C2×D4—42no—
1384C2×D4—42no—
1385C2×D4—42no—
1386C2×D4—42no—
1387C2×D4—42no—
1388C2×D4—42no—
1389C2×D4—42no—
1390C2×D4—44no—
1391C2×D4—44no—
1392C2×D4—44no—
1393C2×D4—42no—
1394C2×D4—42no—
1395C2×D4—44no—
1396C2×D4—44no—
1397C2×D4—42no—
1398C2×D4—42no—
1399C2×D4—44no—
1400C2×D4—44no—
1401C2×D4—44no—
1402C2×D4—44no—
1403C2×D4—44no—
1404C2×D4—44no—
1405C2×D4—44no—
1406C2×D4—44no—
1407C2×D4—44no—
1408C2×D4—44no—
1409C2×D4—44no—
1410C2×D4—44no—
1411C2×D4—416no—
1412C2×D4—432no—
1413C2×D4—432no—
1414C2×D4—416no—
1415C2×D4—416no—
1416C2×D4—816no—
1417C22×C4—22no—
1418C22×C4—22no—
1419C22×C4—22no—
1420C22×C4—22no—
1421C22×C4—24no—
1422C22×C4—22no—
1423C22×C4—22no—
1424C22×C4—22no—
1425C22×C4—24no—
1426C22×C4—24no—
1427C22×C4—22no—
1428C22×C4—24no—
1429C22×C4—24no—
1430C22×C4—22no—
1431C22×C4—22no—
1432C22×C4—22no—
1433C22×C4—22no—
1434C22×C4—22no—
1435C22×C4—22no—
1436C22×C4—22no—
1437C22×C4—22no—
1438C22×C4—22no—
1439C22×C4—22no—
1440C22×C4—22no—
1441C22×C4—22no—
1442C22×C4—24no—
1443C22×C4—24no—
1444C22×C4—22no—
1445C22×C4—22no—
1446C22×C4—22no—
1447C22×C4—22no—
1448C22×C4—24no—
1449C22×C4—24no—
1450C22×C4—22no—
1451C22×C4—22no—
1452C22×C4—22no—
1453C22×C4—22no—
1454C22×C4—22no—
1455C22×C4—22no—
1456C22×C4—22no—
1457C22×C4—22no—
1458C22×C4—24no—
1459C22×C4—24no—
1460C22×C4—22no—
1461C22×C4—42no—
1462C22×C4—42no—
1463C22×C4—42no—
1464C22×C4—42no—
1465C22×C4—42no—
1466C22×C4—42no—
1467C22×C4—42no—
1468C22×C4—44no—
1469C22×C4—44no—
1470C22×C4—44no—
1471C22×C4—44no—
1472C22×C4—44no—
1473C22×C4—44no—
1474C22×C4—42no—
1475C22×C4—42no—
1476C22×C4—41no—
1477C22×C4—42no—
1478C22×C4—41no—
1479C22×C4—42no—
1480C22×C4—42no—
1481C22×C4—41no—
1482C22×C4—42no—
1483C22×C4—432no—
1484C22×C4—432no—
1485C22×C4—416no—
1486C22×C4—416no—
1487C22×C4H(5,𝔽2)14yes—
1488C22×C4H(5,𝔽2)14yes—
1489C22×C4H(5,𝔽2)14yes—
1490C22×C4C2512yes—
1491C22×C4C2512yes—
1492C22×C4C2512yes—
1493C22×C4C2512yes—
1494C22×C4C2511yescharacteristic
1495C22×C4C2511yescharacteristic
1496C22×C4C2514yes—
1497C22×C4C2511yescharacteristic
1498C22×C4C2511yescharacteristic
1499C22×C4C2511yescharacteristic
1500C22×C4C2511yescharacteristic
1501C22×C4C2512yes—
1502C22×C4C2512yes—
1503C22×C4C2514yes—
1504C22×C4C2512yes—
1505C22×C4C2512yes—
1506C22×C4C2512yes—
1507C22×C4C2512yes—
1508C22×C4C2511yescharacteristic
1509C22×C4C2512yes—
1510C22×C4C2512yes—
1511C22×C4C2512yes—
1512C22×C4C2512yes—
1513C22×C4C2514yes—
1514C22×C4C2511yescharacteristic
1515C22×C4C2511yescharacteristic
1516C22×C4C2511yescharacteristic
1517C4⋊C4—24no—
1518C4⋊C4—24no—
1519C4⋊C4—24no—
1520C4⋊C4—24no—
1521C4⋊C4—22no—
1522C4⋊C4—22no—
1523C4⋊C4—22no—
1524C4⋊C4—22no—
1525C4⋊C4—22no—
1526C4⋊C4—22no—
1527C4⋊C4—22no—
1528C4⋊C4—22no—
1529C4⋊C4—22no—
1530C4⋊C4—22no—
1531C4⋊C4—22no—
1532C4⋊C4—22no—
1533C4⋊C4—41no—
1534C4⋊C4—41no—
1535C4⋊C4—41no—
1536C4⋊C4—41no—
1537C4⋊C4—44no—
1538C4⋊C4—44no—
1539C4⋊C4—42no—
1540C4⋊C4—42no—
1541C4⋊C4—42no—
1542C4⋊C4—42no—
1543C4⋊C4—42no—
1544C4⋊C4—42no—
1545C4⋊C4—42no—
1546C4⋊C4—42no—
1547C4⋊C4—42no—
1548C4⋊C4—42no—
1549C4⋊C4—44no—
1550C4⋊C4—44no—
1551C4⋊C4—44no—
1552C4⋊C4—44no—
1553C4⋊C4—44no—
1554C4⋊C4—44no—
1555C4⋊C4—44no—
1556C4⋊C4—44no—
1557C4⋊C4—44no—
1558C4⋊C4—44no—
1559C22⋊C4—24no—
1560C22⋊C4—24no—
1561C22⋊C4—24no—
1562C22⋊C4—24no—
1563C22⋊C4—24no—
1564C22⋊C4—24no—
1565C22⋊C4—24no—
1566C22⋊C4—24no—
1567C22⋊C4—24no—
1568C22⋊C4—28no—
1569C22⋊C4—24no—
1570C22⋊C4—24no—
1571C22⋊C4—44no—
1572C22⋊C4—41no—
1573C22⋊C4—41no—
1574C22⋊C4—41no—
1575C22⋊C4—41no—
1576C22⋊C4—41no—
1577C22⋊C4—41no—
1578C22⋊C4—41no—
1579C22⋊C4—41no—
1580C22⋊C4—44no—
1581C22⋊C4—44no—
1582C22⋊C4—44no—
1583C22⋊C4—44no—
1584C22⋊C4—44no—
1585C22⋊C4—44no—
1586C22⋊C4—44no—
1587C22⋊C4—44no—
1588C22⋊C4—42no—
1589C22⋊C4—44no—
1590C22⋊C4—42no—
1591C22⋊C4—42no—
1592C22⋊C4—42no—
1593C22⋊C4—42no—
1594C22⋊C4—42no—
1595C22⋊C4—44no—
1596C22⋊C4—42no—
1597C22⋊C4—42no—
1598C22⋊C4—42no—
1599C22⋊C4—42no—
1600C22⋊C4—42no—
1601C22⋊C4—42no—
1602C22⋊C4—42no—
1603C22⋊C4—42no—
1604C22⋊C4—42no—
1605C22⋊C4—42no—
1606C22⋊C4—42no—
1607C22⋊C4—44no—
1608C22⋊C4—44no—
1609C22⋊C4—42no—
1610C22⋊C4—44no—
1611C22⋊C4—44no—
1612C22⋊C4—44no—
1613C22⋊C4—44no—
1614C22⋊C4—42no—
1615C22⋊C4—44no—
1616C22⋊C4—44no—
1617C22⋊C4—44no—
1618C22⋊C4—44no—
1619C22⋊C4—44no—
1620C22⋊C4—44no—
1621C22⋊C4—42no—
1622C22⋊C4—44no—
1623C22⋊C4—44no—
1624C22⋊C4—42no—
1625C22⋊C4—42no—
1626C22⋊C4—42no—
1627C22⋊C4—44no—
1628C22⋊C4—44no—
1629C22⋊C4—42no—
1630C22⋊C4—44no—
1631C22⋊C4—44no—
1632C22⋊C4—42no—
1633C22⋊C4—42no—
1634C22⋊C4—44no—
1635C22⋊C4—44no—
1636C22⋊C4—42no—
1637C22⋊C4—42no—
1638C22⋊C4—42no—
1639C22⋊C4—42no—
1640C22⋊C4—44no—
1641C22⋊C4—42no—
1642C22⋊C4—44no—
1643C42—22no—
1644C42—22no—
1645C42—22no—
1646C42—22no—
1647C42—24no—
1648C42—24no—
1649C42—24no—
1650C42—24no—
1651C42—24no—
1652C42—24no—
1653C42—24no—
1654C42—42no—
1655C42—42no—
1656C42—44no—
1657C42—44no—
1658C42—42no—
1659C42—44no—
1660C42—44no—
1661C23—21no—
1662C23—21no—
1663C23—21no—
1664C23—21no—
1665C23—21no—
1666C23—21no—
1667C23—21no—
1668C23—21no—
1669C23—21no—
1670C23—21no—
1671C23—21no—
1672C23—22no—
1673C23—22no—
1674C23—21no—
1675C23—21no—
1676C23—21no—
1677C23—21no—
1678C23—21no—
1679C23—21no—
1680C23—21no—
1681C23—22no—
1682C23—22no—
1683C23—24no—
1684C23—24no—
1685C23—24no—
1686C23—21no—
1687C23—22no—
1688C23—22no—
1689C23—24no—
1690C23—22no—
1691C23—22no—
1692C23—21no—
1693C23—21no—
1694C23—21no—
1695C23—22no—
1696C23—22no—
1697C23—24no—
1698C23—21no—
1699C23—21no—
1700C23—21no—
1701C23—21no—
1702C23—21no—
1703C23—22no—
1704C23—22no—
1705C23—24no—
1706C23—21no—
1707C23—21no—
1708C23—24no—
1709C23—21no—
1710C23—21no—
1711C23—22no—
1712C23—22no—
1713C23—44no—
1714C23—44no—
1715C23—44no—
1716C23—44no—
1717C23—48no—
1718C23—44no—
1719C23—48no—
1720C23—48no—
1721C23—44no—
1722C23—48no—
1723C23—44no—
1724C23—84no—
1725C23—82no—
1726C23—84no—
1727C23—82no—
1728C23—82no—
1729C23—82no—
1730C23—82no—
1731C23—84no—
1732C23—82no—
1733C23—82no—
1734C23—84no—
1735C23—84no—
1736C23—84no—
1737C23—84no—
1738C23—84no—
1739C23—84no—
1740C23—84no—
1741C23C2×H(5,𝔽2)12yes—
1742C23C2×H(5,𝔽2)12yes—
1743C23C2×H(5,𝔽2)12yes—
1744C23#58512yes—
1745C23C2611yescharacteristic
1746Q8—48no—
1747Q8—48no—
1748Q8—48no—
1749Q8—44no—
1750Q8—44no—
1751Q8—84no—
1752Q8—84no—
1753Q8—164no—
1754Q8—164no—
1755D4—44no—
1756D4—44no—
1757D4—44no—
1758D4—44no—
1759D4—48no—
1760D4—48no—
1761D4—48no—
1762D4—416no—
1763D4—416no—
1764D4—48no—
1765D4—48no—
1766D4—48no—
1767D4—48no—
1768D4—44no—
1769D4—44no—
1770D4—88no—
1771D4—84no—
1772D4—84no—
1773D4—84no—
1774D4—84no—
1775D4—88no—
1776D4—164no—
1777D4—164no—
1778D4—164no—
1779D4—164no—
1780C2×C4—21no—
1781C2×C4—21no—
1782C2×C4—21no—
1783C2×C4—21no—
1784C2×C4—21no—
1785C2×C4—22no—
1786C2×C4—22no—
1787C2×C4—22no—
1788C2×C4—22no—
1789C2×C4—22no—
1790C2×C4—22no—
1791C2×C4—22no—
1792C2×C4—22no—
1793C2×C4—22no—
1794C2×C4—22no—
1795C2×C4—22no—
1796C2×C4—22no—
1797C2×C4—21no—
1798C2×C4—21no—
1799C2×C4—22no—
1800C2×C4—22no—
1801C2×C4—24no—
1802C2×C4—24no—
1803C2×C4—21no—
1804C2×C4—21no—
1805C2×C4—21no—
1806C2×C4—21no—
1807C2×C4—21no—
1808C2×C4—21no—
1809C2×C4—21no—
1810C2×C4—21no—
1811C2×C4—22no—
1812C2×C4—22no—
1813C2×C4—24no—
1814C2×C4—24no—
1815C2×C4—24no—
1816C2×C4—21no—
1817C2×C4—21no—
1818C2×C4—22no—
1819C2×C4—22no—
1820C2×C4—22no—
1821C2×C4—22no—
1822C2×C4—22no—
1823C2×C4—22no—
1824C2×C4—22no—
1825C2×C4—22no—
1826C2×C4—24no—
1827C2×C4—22no—
1828C2×C4—22no—
1829C2×C4—24no—
1830C2×C4—22no—
1831C2×C4—22no—
1832C2×C4—22no—
1833C2×C4—22no—
1834C2×C4—21no—
1835C2×C4—21no—
1836C2×C4—21no—
1837C2×C4—22no—
1838C2×C4—22no—
1839C2×C4—22no—
1840C2×C4—22no—
1841C2×C4—24no—
1842C2×C4—22no—
1843C2×C4—24no—
1844C2×C4—22no—
1845C2×C4—21no—
1846C2×C4—21no—
1847C2×C4—22no—
1848C2×C4—22no—
1849C2×C4—22no—
1850C2×C4—22no—
1851C2×C4—22no—
1852C2×C4—21no—
1853C2×C4—22no—
1854C2×C4—44no—
1855C2×C4—48no—
1856C2×C4—48no—
1857C2×C4—48no—
1858C2×C4—416no—
1859C2×C4—416no—
1860C2×C4—44no—
1861C2×C4—48no—
1862C2×C4—44no—
1863C2×C4—44no—
1864C2×C4—44no—
1865C2×C4—44no—
1866C2×C4—44no—
1867C2×C4—44no—
1868C2×C4—44no—
1869C2×C4—44no—
1870C2×C4—44no—
1871C2×C4—48no—
1872C2×C4—48no—
1873C2×C4—82no—
1874C2×C4—84no—
1875C2×C4—84no—
1876C2×C4H(3,𝔽4)116yes—
1877C2×C4C2×H(5,𝔽2)12yes—
1878C2×C4C2×H(5,𝔽2)12yes—
1879C2×C4C2×H(5,𝔽2)12yes—
1880C2×C4C2×H(5,𝔽2)12yes—
1881C2×C4C2×H(5,𝔽2)12yes—
1882C2×C4C2×H(5,𝔽2)12yes—
1883C2×C4#58512yes—
1884C22—22no—
1885C22—22no—
1886C22—22no—
1887C22—22no—
1888C22—22no—
1889C22—22no—
1890C22—22no—
1891C22—22no—
1892C22—22no—
1893C22—41no—
1894C22—41no—
1895C22—41no—
1896C22—41no—
1897C22—41no—
1898C22—41no—
1899C22—41no—
1900C22—42no—
1901C22—44no—
1902C22—42no—
1903C22—42no—
1904C22—44no—
1905C22—41no—
1906C22—41no—
1907C22—42no—
1908C22—41no—
1909C22—41no—
1910C22—44no—
1911C22—41no—
1912C22—42no—
1913C22—42no—
1914C22—41no—
1915C22—41no—
1916C22—42no—
1917C22—44no—
1918C22—42no—
1919C22—41no—
1920C22—41no—
1921C22—44no—
1922C22—42no—
1923C22—42no—
1924C22—41no—
1925C22—41no—
1926C22—41no—
1927C22—41no—
1928C22—42no—
1929C22—42no—
1930C22—44no—
1931C22—41no—
1932C22—41no—
1933C22—41no—
1934C22—42no—
1935C22—42no—
1936C22—44no—
1937C22—41no—
1938C22—41no—
1939C22—88no—
1940C22—88no—
1941C22—816no—
1942C22—816no—
1943C22C2×H(3,𝔽4)14yes—
1944C22C22×H(5,𝔽2)11yescharacteristic
1945C22C22×H(5,𝔽2)11yescharacteristic
1946C22C22×H(5,𝔽2)11yescharacteristic
1947C22C2×#58511yescharacteristic
1948C22C2×#58511yescharacteristic
1949C22H(7,𝔽2)11yescharacteristic
1950C222−1+611yescharacteristic
1951C4—22no—
1952C4—41no—
1953C4—42no—
1954C4—42no—
1955C4—41no—
1956C4—41no—
1957C4—42no—
1958C4—42no—
1959C4—44no—
1960C4—42no—
1961C4—42no—
1962C4—42no—
1963C4—42no—
1964C4—41no—
1965C4—41no—
1966C4—41no—
1967C4—41no—
1968C4—42no—
1969C4—42no—
1970C4—44no—
1971C4—42no—
1972C4—42no—
1973C4—44no—
1974C4—42no—
1975C4—42no—
1976C4C2×H(3,𝔽4)14yes—
1977C4C2×H(3,𝔽4)14yes—
1978C2—24no—
1979C2—42no—
1980C2—81no—
1981C2—81no—
1982C2—81no—
1983C2—82no—
1984C2—84no—
1985C2—82no—
1986C2C22×H(3,𝔽4)11yescharacteristic
1987C2#6282111yescharacteristic
1988C2#6287511yescharacteristic
1989C2#6292411yescharacteristic
1990C2#6292511yescharacteristic
1991C2#6295411yescharacteristic
1992C2#6295511yescharacteristic
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. #53144C2semidirect
2. #53116C2semidirect
3. #53080C2semidirect
4. #53074C2semidirect
5. #53065C2semidirect
6. #53046C2semidirect
7. #53046C2semidirect
8. #53046C2semidirect
9. #52367C2semidirect
10. #52310C2semidirect
11. #46084C2semidirect
12. #46054C2semidirect
13. #46043C2semidirect
14. #46016C2semidirect
15. #45601C2semidirect
16. #45601C2semidirect
17. #45601C2semidirect
18. #45568C2semidirect
19. #45539C2semidirect
20. #45509C2semidirect
21. #35644C2semidirect
22. #35628C2semidirect
23. #35584C2semidirect
24. #35556C2semidirect
25. #35542C2semidirect
26. #35542C2semidirect
27. #35312C2semidirect
28. #35305C2semidirect
29. #35264C2semidirect
30. #35250C2semidirect
31. #35149C2semidirect
32. #35149C2semidirect
33. #34946C2semidirect
34. #34736C2semidirect
35. C2×#2407C2semidirect
37. C23×#41C22semidirect
38. C2×#544C22semidirect
39. C2×#544C22semidirect
44. C2×#533C22semidirect
50. #2862C22semidirect
51. #2861C22semidirect
52. #2861C22semidirect
53. #2858C22semidirect
54. #2849C22semidirect
55. #2849C22semidirect
56. #2848C22semidirect
57. #2848C22semidirect
58. #2847C22semidirect
59. #2847C22semidirect
60. #2835C22semidirect
61. #2832C22semidirect
62. #2832C22semidirect
63. #2832C22semidirect
64. #2828C22semidirect
65. #2828C22semidirect
66. #2828C22semidirect
67. #2828C22semidirect
68. #2828C22semidirect
69. #2828C22semidirect
70. #2824C22semidirect
71. #2824C22semidirect
72. #2824C22semidirect
73. #2824C22semidirect
74. #2824C22semidirect
75. #2824C22semidirect
76. #2819C22semidirect
77. #2819C22semidirect
78. #2819C22semidirect
79. #2812C22semidirect
80. #2804C22semidirect
81. #2804C22semidirect
82. #2804C22semidirect
83. #2785C22semidirect
84. #2782C22semidirect
85. #2782C22semidirect
86. #2782C22semidirect
87. #2782C22semidirect
88. #2782C22semidirect
89. #2782C22semidirect
90. #2763C22semidirect
91. #2763C22semidirect
92. #2763C22semidirect
93. #2753C22semidirect
94. #2753C22semidirect
95. #2753C22semidirect
96. #2753C22semidirect
97. #2753C22semidirect
98. #2753C22semidirect
99. #2753C22semidirect
100. #2753C22semidirect
101. #2753C22semidirect
102. #2753C22semidirect
103. #2753C22semidirect
104. #2753C22semidirect
105. #2733C22semidirect
106. #2733C22semidirect
107. #2733C22semidirect
108. #2712C22semidirect
109. #2712C22semidirect
110. #2712C22semidirect
111. #2712C22semidirect
112. #2712C22semidirect
113. #2712C22semidirect
114. #2684C22semidirect
115. #2684C22semidirect
116. #2684C22semidirect
117. #2670C22semidirect
118. #2670C22semidirect
119. #2670C22semidirect
120. #2642C22semidirect
121. #2641C22semidirect
122. #2640C22semidirect
123. #2640C22semidirect
124. #2616C22semidirect
125. #2616C22semidirect
126. #2615C22semidirect
127. #2615C22semidirect
128. #2613C22semidirect
129. #2613C22semidirect
130. #2592C22semidirect
131. #2592C22semidirect
132. #2592C22semidirect
133. #2592C22semidirect
134. #2568C22semidirect
135. #2568C22semidirect
136. #2563C22semidirect
137. #2563C22semidirect
138. #2563C22semidirect
139. #2563C22semidirect
140. #2562C22semidirect
141. #2562C22semidirect
142. #2562C22semidirect
143. #2562C22semidirect
144. #2562C22semidirect
145. #2562C22semidirect
146. #2562C22semidirect
147. #2562C22semidirect
150. #2561C22semidirect
151. #2561C22semidirect
152. #2548C22semidirect
153. #2548C22semidirect
154. #2547C22semidirect
155. #2547C22semidirect
156. #2547C22semidirect
157. #2547C22semidirect
158. #2503C22semidirect
159. #2503C22semidirect
160. #2492C22semidirect
161. #2492C22semidirect
162. #2492C22semidirect
163. #2492C22semidirect
164. #2492C22semidirect
165. #2492C22semidirect
166. #2492C22semidirect
167. #2492C22semidirect
168. #2492C22semidirect
169. #2492C22semidirect
170. #2491C22semidirect
171. #2491C22semidirect
172. #2491C22semidirect
173. #2491C22semidirect
174. #2491C22semidirect
175. #2491C22semidirect
176. #2491C22semidirect
177. #2491C22semidirect
178. #2491C22semidirect
179. #2491C22semidirect
180. #2490C22semidirect
181. #2490C22semidirect
182. #2490C22semidirect
183. #2490C22semidirect
184. #2490C22semidirect
185. #2490C22semidirect
186. #2490C22semidirect
187. #2490C22semidirect
188. #2490C22semidirect
189. #2490C22semidirect
190. #2489C22semidirect
191. #2489C22semidirect
192. #2489C22semidirect
193. #2489C22semidirect
194. #2489C22semidirect
195. #2489C22semidirect
196. #2489C22semidirect
197. #2489C22semidirect
198. #2489C22semidirect
199. #2489C22semidirect
200. #2488C22semidirect
201. #2488C22semidirect
202. #2488C22semidirect
203. #2488C22semidirect
204. #2488C22semidirect
205. #2488C22semidirect
206. #2472C22semidirect
207. #2472C22semidirect
208. #2472C22semidirect
209. #2472C22semidirect
210. #2472C22semidirect
211. #2472C22semidirect
212. #2436C22semidirect
215. #2435C22semidirect
216. #2434C22semidirect
217. #2433C22semidirect
218. #2432C22semidirect
219. #2432C22semidirect
220. #2432C22semidirect
221. #2432C22semidirect
222. #2432C22semidirect
223. #2432C22semidirect
224. #2431C22semidirect
225. #2431C22semidirect
226. #2431C22semidirect
227. #2431C22semidirect
228. #2431C22semidirect
229. #2431C22semidirect
230. #2409C22semidirect
231. #2409C22semidirect
232. #2408C22semidirect
233. #2408C22semidirect
238. #2407C22semidirect
239. #2407C22semidirect
240. #2407C22semidirect
241. #2407C22semidirect
242. #2407C22semidirect
243. #2407C22semidirect
244. #2407C22semidirect
245. #2407C22semidirect
246. #2407C22semidirect
247. #2407C22semidirect
248. #2407C22semidirect
249. #2407C22semidirect
250. #2407C22semidirect
251. #2407C22semidirect
252. #2407C22semidirect
253. #2407C22semidirect
262. #2398C22semidirect
263. #2398C22semidirect
264. #2388C22semidirect
265. #2388C22semidirect
266. C2×#394C22semidirect
268. #2379C22semidirect
269. #2379C22semidirect
270. #2379C22semidirect
271. #2375C22semidirect
276. #2310C22semidirect
277. #2310C22semidirect
278. #2309C22semidirect
279. #2309C22semidirect
280. C4×#124C22semidirect
281. C4×#124C22semidirect
282. C4×#120C22semidirect
283. C4×#120C22semidirect
286. C2×#391C22semidirect
287. C2×#390C22semidirect
289. C2×#385C22semidirect
293. #2280C22semidirect
294. #2280C22semidirect
295. C2×#380C22semidirect
296. #2274C22semidirect
297. #2274C22semidirect
298. C4×#117C22semidirect

Maximal subgroups

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

subgroupindex
#531442
#531162
#530802
#530742
#530652
#530462
#523672
#523102
#460842
#460542
#460432
#460162
#456012
#455682
#455392
#455092
#356442
#356282
#355842
#355562
#355422
#353122
#353052
#352642
#352502
#351492
#349462
#347362
C2×#24072