Finite Group Databasebeta

← #8095598

Subgroups — #8095598

Order 512.

5749 conjugacy classes of subgroups.

The subgroup lattice has 1976 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53098C212yesmaximal, complemented
2#53098C212yesmaximal, complemented
3#53098C212yesmaximal, complemented
4#53078C212yesmaximal, complemented
5#53073C212yesmaximal, complemented
6#53066C212yesmaximal, complemented
7#53059C212yesmaximal, complemented
8#53047C212yesmaximal, complemented
9#52340C214yesmaximal, complemented
10#52308C214yesmaximal, complemented
11#46339C212yesmaximal, complemented
12#46339C212yesmaximal, complemented
13#46339C212yesmaximal, complemented
14#46333C212yesmaximal, complemented
15#45708C212yesmaximal, complemented
16#45628C212yesmaximal, complemented
17#45604C212yesmaximal, complemented
18#45538C214yesmaximal, complemented
19#45536C214yesmaximal, complemented
20#45522C212yesmaximal, complemented
21#35633C211yesmaximal, characteristic, complemented
22#35621C211yesmaximal, characteristic, complemented
23#35563C211yesmaximal, characteristic, complemented
24#35533C211yesmaximal, characteristic, complemented
25#35516C211yesmaximal, characteristic, complemented
26#35516C211yesmaximal, characteristic, complemented
27#35313C211yesmaximal, characteristic, complemented
28#35306C211yesmaximal, characteristic, complemented
29#35266C211yesmaximal, characteristic, complemented
30#35252C211yesmaximal, characteristic, complemented
31#35149C211yesmaximal, characteristic, complemented
32#35149C211yesmaximal, characteristic, complemented
33#34936C211yesmaximal, characteristic, complemented
34#34809C211yesmaximal, characteristic, complemented
35C2×#2407C211yesmaximal, characteristic, complemented
36C23×#41C2211yescharacteristic
37C2×#536C2211yescharacteristic
38C2×#536C2211yescharacteristic
39C2×#535C2211yescharacteristic
40C2×#535C2211yescharacteristic
41C2×#532C2211yescharacteristic
42C2×#525C2211yescharacteristic
43C2×#525C2211yescharacteristic
44C2×#525C2211yescharacteristic
45C2×#525C2211yescharacteristic
46C22×C22⋊Q8C2211yescharacteristic
47C22×#121C2211yescharacteristic
48C2×#520C2211yescharacteristic
49C2×#520C2211yescharacteristic
50C22×C4×D4C2211yescharacteristic
51C22×#117C2211yescharacteristic
52#2863C2212yescomplemented
53#2863C2212yescomplemented
54#2860C2212yescomplemented
55#2860C2212yescomplemented
56#2857C2212yescomplemented
57#2856C2212yescomplemented
58#2850C2212yescomplemented
59#2850C2212yescomplemented
60#2849C2214yes—
61#2849C2214yes—
62#2837C2214yescomplemented
63#2837C2214yescomplemented
64#2837C2214yescomplemented
65#2829C2214yescomplemented
66#2829C2214yescomplemented
67#2829C2214yescomplemented
68#2828C2214yescomplemented
69#2828C2214yescomplemented
70#2828C2214yescomplemented
71#2827C2214yescomplemented
72#2827C2214yescomplemented
73#2827C2214yescomplemented
74#2825C2214yescomplemented
75#2825C2214yescomplemented
76#2825C2214yescomplemented
77#2825C2214yescomplemented
78#2818C2214yescomplemented
79#2813C2214yescomplemented
80#2813C2214yescomplemented
81#2813C2214yescomplemented
82#2803C2214yescomplemented
83#2803C2214yescomplemented
84#2803C2214yescomplemented
85#2801C2214yescomplemented
86#2797C2214yescomplemented
87#2797C2214yescomplemented
88#2797C2214yescomplemented
89#2796C2214yescomplemented
90#2796C2214yescomplemented
91#2796C2214yescomplemented
92#2790C2214yescomplemented
93#2790C2214yescomplemented
94#2790C2214yescomplemented
95#2780C2214yescomplemented
96#2780C2214yescomplemented
97#2780C2214yescomplemented
98#2756C2214yescomplemented
99#2756C2214yescomplemented
100#2756C2214yescomplemented
101#2749C2214yescomplemented
102#2749C2214yescomplemented
103#2749C2214yescomplemented
104#2746C2214yescomplemented
105#2746C2214yescomplemented
106#2746C2214yescomplemented
107#2705C2214yescomplemented
108#2705C2214yescomplemented
109#2705C2214yescomplemented
110#2703C2214yescomplemented
111#2703C2214yescomplemented
112#2703C2214yescomplemented
113#2691C2214yescomplemented
114#2691C2214yescomplemented
115#2691C2214yescomplemented
116#2688C2214yescomplemented
117#2688C2214yescomplemented
118#2688C2214yescomplemented
119#2673C2214yescomplemented
120#2673C2214yescomplemented
121#2673C2214yescomplemented
122#2645C2212yescomplemented
123#2645C2212yescomplemented
124#2644C2212yescomplemented
125#2644C2212yescomplemented
126#2621C2212yescomplemented
127#2620C2212yescomplemented
128#2620C2212yescomplemented
129#2619C2212yescomplemented
130#2613C2214yes—
131#2613C2214yes—
132#2548C2212yescomplemented
133#2547C2212yescomplemented
134#2546C2212yescomplemented
135#2545C2212yescomplemented
136#2545C2212yescomplemented
137#2544C2212yescomplemented
138#2544C2212yescomplemented
139#2542C2211yescharacteristic, complemented
140#2542C2211yescharacteristic, complemented
141#2541C2211yescharacteristic, complemented
142#2541C2212yescomplemented
143#2541C2211yescharacteristic, complemented
144#2540C2211yescharacteristic, complemented
145#2540C2211yescharacteristic, complemented
146#2540C2211yescharacteristic, complemented
147#2540C2211yescharacteristic, complemented
148#2539C2212yes—
149#2539C2212yes—
150#2534C2214yes—
151#2534C2214yes—
152#2514C2212yescomplemented
153#2514C2212yescomplemented
154#2513C2212yescomplemented
155#2513C2212yescomplemented
156#2512C2212yescomplemented
157#2512C2212yescomplemented
158#2511C2212yescomplemented
159#2511C2212yescomplemented
160#2501C2212yes—
161#2493C2214yes—
162#2493C2214yes—
163#2487C2211yescharacteristic, complemented
164#2487C2212yescomplemented
165#2487C2212yescomplemented
166#2487C2211yescharacteristic, complemented
167#2486C2214yes—
168#2486C2211yescharacteristic, complemented
169#2486C2212yescomplemented
170#2486C2212yescomplemented
171#2486C2211yescharacteristic, complemented
172#2485C2211yescharacteristic, complemented
173#2485C2212yescomplemented
174#2485C2212yescomplemented
175#2485C2211yescharacteristic, complemented
176#2485C2211yescharacteristic, complemented
177#2485C2212yescomplemented
178#2485C2212yescomplemented
179#2485C2211yescharacteristic, complemented
180#2484C2212yes—
181#2483C2212yes—
182#2482C2212yes—
183#2480C2214yes—
184#2480C2214yes—
185#2433C2212yes—
186#2432C2212yescomplemented
187#2432C2212yescomplemented
188#2432C2212yescomplemented
189#2432C2212yescomplemented
190#2431C2212yescomplemented
191#2431C2212yescomplemented
192#2431C2212yescomplemented
193#2431C2212yescomplemented
194#2429C2212yescomplemented
195#2429C2212yescomplemented
196#2428C2212yescomplemented
197#2428C2212yescomplemented
198#2427C2212yescomplemented
199#2427C2212yescomplemented
200#2426C2212yescomplemented
201#2426C2212yescomplemented
202#2425C2214yes—
203#2425C2214yes—
204#2424C2214yes—
205#2424C2214yes—
206#2423C2212yescomplemented
207#2423C2212yescomplemented
208#2422C2212yescomplemented
209#2422C2212yescomplemented
210#2421C2212yescomplemented
211#2421C2212yescomplemented
212#2420C2212yescomplemented
213#2420C2212yescomplemented
214#2419C2214yes—
215#2419C2214yes—
216#2418C2214yes—
217#2418C2214yes—
218#2417C2212yescomplemented
219#2417C2212yescomplemented
220#2417C2212yescomplemented
221#2417C2212yescomplemented
222#2417C2212yescomplemented
223#2417C2212yescomplemented
224#2416C2212yescomplemented
225#2416C2212yescomplemented
226#2416C2212yescomplemented
227#2416C2212yescomplemented
228#2416C2212yescomplemented
229#2416C2212yescomplemented
230#2415C2212yescomplemented
231#2415C2212yescomplemented
232#2415C2212yescomplemented
233#2415C2212yescomplemented
234#2415C2212yescomplemented
235#2415C2212yescomplemented
236#2414C2212yescomplemented
237#2414C2212yescomplemented
238#2414C2212yescomplemented
239#2414C2212yescomplemented
240#2414C2212yescomplemented
241#2414C2212yescomplemented
242#2413C2214yes—
243#2412C2214yes—
244#2411C2214yes—
245#2410C2214yes—
246#2408C2214yes—
247#2407C2212yes—
248#2407C2212yes—
249#2407C2212yes—
250#2407C2212yes—
251#2407C2212yes—
252#2407C2212yes—
253#2407C2212yes—
254#2407C2212yes—
255#2407C2212yescomplemented
256#2407C2212yescomplemented
257#2407C2212yescomplemented
258#2407C2212yescomplemented
259#2407C2212yescomplemented
260#2407C2212yescomplemented
261#2407C2212yescomplemented
262#2407C2212yescomplemented
263#2405C2212yes—
264#2397C2212yescomplemented
265#2397C2212yescomplemented
266#2395C2212yescomplemented
267#2395C2212yescomplemented
268C2×#394C2212yes—
269C2×#392C2212yes—
270#2383C2214yescomplemented
271#2377C2214yescomplemented
272#2377C2214yescomplemented
273#2377C2214yescomplemented
274#2317C2211yescharacteristic
275#2317C2211yescharacteristic
276#2316C2211yescharacteristic
277#2316C2211yescharacteristic
278#2311C2211yescharacteristic
279#2311C2211yescharacteristic
280#2310C2211yescharacteristic
281#2310C2211yescharacteristic
282#2309C2211yescharacteristic
283#2309C2211yescharacteristic
284C4×#127C2212yescomplemented
285C4×#127C2212yescomplemented
286C4×#123C2212yescomplemented
287C4×#123C2212yescomplemented
288#2296C2211yescharacteristic
289#2296C2211yescharacteristic
290C2×#391C2211yescharacteristic
291C2×#390C2211yescharacteristic
292C2×#386C2212yes—
293C2×#385C2212yes—
294#2280C2211yescharacteristic
295#2280C2211yescharacteristic
296#2280C2211yescharacteristic
297C2×#380C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C22×#41—44no—
300C22×#41—44no—
301C22×#41—44no—
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C22×#41C2312yes—
305C22×#41C2312yes—
306C22×#41C2312yes—
307C22×#41C2312yes—
308C23×Q8C2311yescharacteristic
309C23×D4C2311yescharacteristic
310C23×D4C2312yes—
311C23×D4C2311yescharacteristic
312C23×D4C2312yes—
313C24×C4C2311yescharacteristic
314C24×C4C2311yescharacteristic
315C24×C4C2312yes—
316#536—44no—
317#536—44no—
318#535—44no—
319#535—44no—
320#532—44no—
321C2×C4⋊Q8C2312yes—
322C2×C4⋊Q8C2311yescharacteristic
323C2×C4⋊Q8C2312yes—
324C2×#127C2312yes—
325C2×#127C2312yes—
326C2×#127C2312yes—
327C2×#127C2311yescharacteristic
328C2×#127C2312yes—
329C2×#126C2314yes—
330C2×#126C2314yes—
331C2×#124C2312yes—
332C2×#124C2312yes—
333C2×#124C2311yescharacteristic
334C2×#124C2311yescharacteristic
335C2×#124C2312yes—
336C2×#124C2312yes—
337#525—44no—
338#525—44no—
339#525—44no—
340#525—44no—
341C2×#123C2312yes—
342C2×#123C2312yes—
343C2×#123C2314yes—
344C2×#123C2314yes—
345C2×#123C2312yes—
346C2×#123C2312yes—
347C2×#123C2312yes—
348C2×#123C2312yes—
349C2×#123C2314yes—
350C2×#123C2314yes—
351C2×C22⋊Q8—44no—
352C2×C22⋊Q8C2311yescharacteristic
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2311yescharacteristic
355C2×C22⋊Q8C2311yescharacteristic
356C2×C22⋊Q8C2312yes—
357C2×C22⋊Q8C2311yescharacteristic
358C2×C22⋊Q8C2312yes—
359C2×C22⋊Q8C2312yes—
360C2×C22⋊Q8C2312yes—
361C2×C22⋊Q8C2312yes—
362C2×C22⋊Q8C2312yes—
363C2×C22⋊Q8C2312yes—
364C2×C22⋊Q8C2311yescharacteristic
365C2×C22⋊Q8C2311yescharacteristic
366C2×C22⋊Q8C2311yescharacteristic
367C2×C22⋊Q8C2311yescharacteristic
368C2×#121—44no—
369C2×#121C2311yescharacteristic
370C2×#121C2312yes—
371C2×#121C2311yescharacteristic
372C2×#121C2314yes—
373C2×#121C2311yescharacteristic
374C2×#121C2312yes—
375C2×#121C2311yescharacteristic
376C2×#121C2314yes—
377C2×#121C2314yes—
378C2×#121C2312yes—
379C2×#121C2312yes—
380C2×#121C2312yes—
381C2×#121C2312yes—
382C2×#121C2312yes—
383C2×#121C2312yes—
384C2×#121C2311yescharacteristic
385C2×#121C2311yescharacteristic
386C2×#121C2311yescharacteristic
387C2×#121C2311yescharacteristic
388C2×#121C2312yes—
389C2×#121C2312yes—
390C2×#121C2314yes—
391C2×#121C2314yes—
392C2×#121C2314yes—
393C2×#120C2314yes—
394C2×#120C2314yes—
395C2×#120C2312yes—
396C2×#120C2312yes—
397C2×#120C2312yes—
398C2×#120C2312yes—
399#520—44no—
400#520—44no—
401C2×C4×Q8C2312yes—
402C2×C4×Q8C2312yes—
403C2×C4×D4—44no—
404C2×C4×D4C2311yescharacteristic
405C2×C4×D4C2311yescharacteristic
406C2×C4×D4C2312yes—
407C2×C4×D4C2312yes—
408C2×C4×D4C2312yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2312yes—
415C2×C4×D4C2311yescharacteristic
416C2×C4×D4C2311yescharacteristic
417C2×C4×D4C2311yescharacteristic
418C2×C4×D4C2311yescharacteristic
419C2×C4×D4C2312yes—
420C2×C4×D4C2311yescharacteristic
421C2×C4×D4C2311yescharacteristic
422C2×C4×D4C2314yes—
423C2×C4×D4C2314yes—
424C2×C4×D4C2312yes—
425C2×C4×D4C2312yes—
426C2×#117—44no—
427C2×#117C2311yescharacteristic
428C2×#117C2311yescharacteristic
429C2×#117C2311yescharacteristic
430C2×#117C2311yescharacteristic
431C2×#117C2311yescharacteristic
432C2×#117C2311yescharacteristic
433C2×#117C2312yes—
434C2×#117C2312yes—
435C2×#117C2311yescharacteristic
436C2×#117C2311yescharacteristic
437C2×#117C2312yes—
438C2×#117C2312yes—
439C22×C4⋊C4C2311yescharacteristic
440C22×C4⋊C4C2311yescharacteristic
441C22×C4⋊C4C2312yes—
442C22×C4⋊C4C2311yescharacteristic
443C22×C4⋊C4C2311yescharacteristic
444C22×C4⋊C4C2311yescharacteristic
445C22×C4⋊C4C2312yes—
446C22×C4⋊C4C2312yes—
447C22×C22⋊C4C2312yes—
448C22×C22⋊C4C2312yes—
449C22×C22⋊C4C2311yescharacteristic
450C22×C22⋊C4C2312yes—
451C22×C22⋊C4C2312yes—
452C22×C22⋊C4C2311yescharacteristic
453C22×C22⋊C4C2312yes—
454C22×C22⋊C4C2312yes—
455C22×C42C2311yescharacteristic
456C22×C42C2312yes—
457#401C2314yes—
458#401C2314yes—
459#400C2312yes—
460#400C2314yes—
461#400C2314yes—
462#400C2314yes—
463#400C2314yes—
464#400C2314yes—
465#400C2314yes—
466#400C2314yes—
467#400C2314yes—
468#400C2312yes—
469#399C2312yes—
470#399C2312yes—
471#399C2312yes—
472#399C2312yes—
473#399C2314yes—
474#399C2314yes—
475#399C2312yes—
476#399C2312yes—
477#399C2312yes—
478#399C2312yes—
479#399C2312yes—
480#399C2312yes—
481#398C2312yes—
482#398C2314yes—
483#398C2314yes—
484#398C2314yes—
485#398C2314yes—
486#398C2314yes—
487#398C2314yes—
488#398C2314yes—
489#398C2314yes—
490#398C2312yes—
491#397C2312yes—
492#397C2312yes—
493#397C2314yes—
494#397C2314yes—
495#397C2314yes—
496#397C2314yes—
497#397C2314yes—
498#397C2314yes—
499#397C2314yes—
500#397C2314yes—
501#397C2314yes—
502#397C2314yes—
503#397C2312yes—
504#397C2314yes—
505#397C2314yes—
506#397C2314yes—
507#397C2314yes—
508#397C2314yes—
509#397C2314yes—
510#397C2314yes—
511#397C2312yes—
512#397C2314yes—
513#397C2312yes—
514#397C2312yes—
515#396C2314yes—
516#396C2314yes—
517#396C2314yes—
518#396C2314yes—
519#396C2314yes—
520#396C2314yes—
521#396C2314yes—
522#396C2314yes—
523#396C2314yes—
524#396C2314yes—
525#396C2314yes—
526#396C2314yes—
527#396C2314yes—
528#396C2314yes—
529#394C2312yes—
530#394C2314yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#394C2312yes—
536#394C2314yes—
537#394C2314yes—
538#394C2314yes—
539#394C2314yes—
540#394C2314yes—
541#394C2314yes—
542#394C2314yes—
543#394C2314yes—
544#394C2314yes—
545#394C2314yes—
546#394C2314yes—
547#394C2312yes—
548#394C2314yes—
549#394C2314yes—
550#394C2314yes—
551#394C2314yes—
552#394C2314yes—
553#394C2314yes—
554#394C2314yes—
555#394C2314yes—
556#394C2312yes—
557#394C2314yes—
558#394C2314yes—
559#394C2314yes—
560#394C2314yes—
561#394C2314yes—
562#394C2314yes—
563#394C2314yes—
564#394C2314yes—
565#394C2314yes—
566#394C2314yes—
567#392C2314yes—
568#392C2314yes—
569#392C2314yes—
570#392C2314yes—
571#392C2314yes—
572#392C2314yes—
573#392C2312yes—
574#392C2314yes—
575#392C2312yes—
576#392C2312yes—
577#392C2312yes—
578#392C2314yes—
579#392C2314yes—
580#392C2314yes—
581#392C2314yes—
582#392C2314yes—
583#392C2314yes—
584#392C2314yes—
585#392C2314yes—
586#392C2314yes—
587#392C2312yes—
588#392C2312yes—
589#392C2314yes—
590#392C2314yes—
591#392C2312yes—
592#392C2312yes—
593#391C2312yes—
594#391C2312yes—
595#391C2312yes—
596#391C2312yes—
597#391C2312yes—
598#391C2312yes—
599#391C2312yes—
600#391C2312yes—
601#391C2312yes—
602#391C2312yes—
603#391C2312yes—
604#391C2312yes—
605#391C2312yes—
606#391C2312yes—
607#390C2312yes—
608#390C2312yes—
609#390C2312yes—
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#390C2312yes—
624#390C2312yes—
625#390C2312yes—
626#390C2312yes—
627#390C2312yes—
628#390C2312yes—
629#390C2314yes—
630#390C2314yes—
631#390C2314yes—
632#390C2314yes—
633#390C2312yes—
634#390C2314yes—
635#390C2314yes—
636#390C2312yes—
637#390C2312yes—
638#390C2312yes—
639#389C2312yes—
640#389C2312yes—
641#389C2312yes—
642#389C2312yes—
643#389C2312yes—
644#389C2312yes—
645#389C2312yes—
646#389C2312yes—
647#389C2312yes—
648#389C2312yes—
649#389C2312yes—
650#389C2312yes—
651#389C2314yes—
652#389C2314yes—
653#389C2314yes—
654#389C2314yes—
655#389C2311yescharacteristic
656#389C2311yescharacteristic
657#389C2311yescharacteristic
658#389C2311yescharacteristic
659#389C2314yes—
660#389C2314yes—
661#389C2311yescharacteristic
662#389C2311yescharacteristic
663#389C2311yescharacteristic
664#389C2311yescharacteristic
665#388C2312yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2312yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2314yes—
681#388C2314yes—
682#388C2314yes—
683#388C2314yes—
684#388C2314yes—
685#388C2314yes—
686#388C2314yes—
687#388C2314yes—
688#388C2314yes—
689#388C2312yes—
690#388C2312yes—
691#387C2314yes—
692#387C2314yes—
693#387C2314yes—
694#387C2314yes—
695#387C2314yes—
696#387C2314yes—
697#387C2312yes—
698#387C2314yes—
699#387C2314yes—
700#387C2312yes—
701#387C2314yes—
702#387C2314yes—
703#387C2312yes—
704#387C2312yes—
705#386C2314yes—
706#386C2314yes—
707#386C2312yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2314yes—
715#386C2314yes—
716#386C2314yes—
717#386C2314yes—
718#386C2314yes—
719#386C2314yes—
720#386C2314yes—
721#386C2314yes—
722#386C2314yes—
723#386C2314yes—
724#386C2314yes—
725#386C2314yes—
726#386C2314yes—
727#386C2314yes—
728#386C2314yes—
729#386C2314yes—
730#386C2314yes—
731#386C2314yes—
732#386C2312yes—
733#386C2314yes—
734#386C2314yes—
735#385C2314yes—
736#385C2314yes—
737#385C2314yes—
738#385C2314yes—
739#385C2314yes—
740#385C2314yes—
741#385C2314yes—
742#385C2314yes—
743#385C2314yes—
744#385C2314yes—
745#385C2314yes—
746#385C2312yes—
747#385C2314yes—
748#385C2314yes—
749#385C2314yes—
750#385C2312yes—
751#385C2312yes—
752#385C2314yes—
753#385C2314yes—
754#385C2312yes—
755#385C2312yes—
756#385C2312yes—
757#384C2312yes—
758#384C2312yes—
759#384C2312yes—
760#384C2312yes—
761#383C2314yes—
762#383C2314yes—
763#382C2312yes—
764#382C2312yes—
765#381C2314yes—
766#381C2314yes—
767#381C2312yes—
768#381C2312yes—
769#381C2312yes—
770#381C2314yes—
771#381C2314yes—
772#381C2312yes—
773#381C2312yes—
774#380C2312yes—
775#380C2312yes—
776#380C2312yes—
777#380C2312yes—
778#380C2314yes—
779#380C2314yes—
780#380C2314yes—
781#380C2314yes—
782#380C2314yes—
783#380C2314yes—
784#380C2312yes—
785#380C2312yes—
786#380C2312yes—
787#380C2312yes—
788#380C2311yescharacteristic
789#380C2311yescharacteristic
790#380C2311yescharacteristic
791#380C2311yescharacteristic
792#380C2311yescharacteristic
793#380C2311yescharacteristic
794#380C2311yescharacteristic
795#380C2311yescharacteristic
796#380C2311yescharacteristic
797#380C2311yescharacteristic
798#380C2311yescharacteristic
799#380C2311yescharacteristic
800#380C2314yes—
801#380C2314yes—
802#379C2314yes—
803#379C2314yes—
804#379C2312yes—
805#379C2312yes—
806#379C2312yes—
807C4×C4⋊C4C2312yes—
808C4×C4⋊C4C2312yes—
809C4×C4⋊C4C2312yes—
810C4×C4⋊C4C2312yes—
811C4×C4⋊C4C2311yescharacteristic
812C4×C4⋊C4C2311yescharacteristic
813C4×C4⋊C4C2311yescharacteristic
814C4×C4⋊C4C2311yescharacteristic
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—
831C2×#41—24no—
832C2×#41—24no—
833C2×#41—24no—
834C2×#41—24no—
835C2×#41—24no—
836C2×#41—24no—
837C2×#41—44no—
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—464no—
850C22×Q8—24no—
851C22×Q8—24no—
852C22×Q8—24no—
853C22×Q8C2411yescharacteristic
854C22×Q8C2411yescharacteristic
855C22×Q8C2412yes—
856C22×Q8C2412yes—
857C22×D4—24no—
858C22×D4—24no—
859C22×D4—24no—
860C22×D4—42no—
861C22×D4—42no—
862C22×D4—44no—
863C22×D4—44no—
864C22×D4—44no—
865C22×D4—44no—
866C22×D4—42no—
867C22×D4—44no—
868C22×D4—82no—
869C22×D4C2412yes—
870C22×D4C2412yes—
871C22×D4C2411yescharacteristic
872C22×D4C2411yescharacteristic
873C22×D4C2412yes—
874C22×D4C2412yes—
875C22×D4C2411yescharacteristic
876C22×D4C2411yescharacteristic
877C22×D4C2411yescharacteristic
878C22×D4C2412yes—
879C22×D4C2412yes—
880C22×D4C2412yes—
881C22×D4C2414yes—
882C22×D4C2411yescharacteristic
883C22×D4C2412yes—
884C22×D4C2412yes—
885C22×D4C2412yes—
886C22×D4C2412yes—
887C22×D4C2412yes—
888C22×D4C2412yes—
889C22×D4C2412yes—
890C22×D4C2414yes—
891C22×D4C2414yes—
892C22×D4C2414yes—
893C22×D4C2414yes—
894C22×D4C2414yes—
895C22×D4C2414yes—
896C22×D4C2414yes—
897C23×C4—24no—
898C23×C4—24no—
899C23×C4—24no—
900C23×C4—24no—
901C23×C4—24no—
902C23×C4—24no—
903C23×C4—44no—
904C23×C4—44no—
905C23×C4—44no—
906C23×C4C2411yescharacteristic
907C23×C4C2411yescharacteristic
908C23×C4C2412yes—
909C23×C4C2411yescharacteristic
910C23×C4C2412yes—
911C23×C4C2412yes—
912C23×C4C2411yescharacteristic
913C23×C4C2411yescharacteristic
914C23×C4C2411yescharacteristic
915C23×C4C2411yescharacteristic
916C23×C4C2411yescharacteristic
917C23×C4C2411yescharacteristic
918C23×C4C2411yescharacteristic
919C23×C4C2411yescharacteristic
920C23×C4C2412yes—
921C23×C4C2411yescharacteristic
922C23×C4C2412yes—
923C23×C4C2412yes—
924C23×C4C2412yes—
925C23×C4C2414yes—
926C23×C4C2414yes—
927C23×C4C2414yes—
928C23×C4C2414yes—
929C23×C4C2411yescharacteristic
930C4⋊Q8—42no—
931C4⋊Q8—44no—
932C4⋊Q8—44no—
933#127—44no—
934#127—42no—
935#127—44no—
936#127—44no—
937#127—44no—
938#126—48no—
939#126—84no—
940#124—42no—
941#124—42no—
942#124—44no—
943#124—44no—
944#124—44no—
945#124—44no—
946#123—44no—
947#123—44no—
948#123—44no—
949#123—44no—
950#123—44no—
951#123—48no—
952#123—48no—
953#123—44no—
954#123—84no—
955#123—84no—
956C22⋊Q8—44no—
957C22⋊Q8—44no—
958C22⋊Q8—44no—
959C22⋊Q8—44no—
960C22⋊Q8—42no—
961C22⋊Q8—42no—
962C22⋊Q8—42no—
963C22⋊Q8—42no—
964C22⋊Q8—42no—
965C22⋊Q8—42no—
966C22⋊Q8—42no—
967C22⋊Q8—42no—
968C22⋊Q8—44no—
969C22⋊Q8—44no—
970C22⋊Q8—44no—
971C22⋊Q8—44no—
972#121—48no—
973#121—48no—
974#121—44no—
975#121—44no—
976#121—44no—
977#121—44no—
978#121—42no—
979#121—42no—
980#121—42no—
981#121—42no—
982#121—42no—
983#121—42no—
984#121—42no—
985#121—42no—
986#121—44no—
987#121—44no—
988#121—44no—
989#121—44no—
990#121—48no—
991#121—44no—
992#121—44no—
993#121—84no—
994#121—84no—
995#121—84no—
996#120—44no—
997#120—44no—
998#120—44no—
999#120—44no—
1000#120—48no—
1001#120—48no—
1002C4×Q8—44no—
1003C4×Q8—44no—
1004C4×D4—44no—
1005C4×D4—44no—
1006C4×D4—42no—
1007C4×D4—42no—
1008C4×D4—42no—
1009C4×D4—42no—
1010C4×D4—42no—
1011C4×D4—42no—
1012C4×D4—42no—
1013C4×D4—42no—
1014C4×D4—44no—
1015C4×D4—44no—
1016C4×D4—44no—
1017C4×D4—44no—
1018C4×D4—44no—
1019C4×D4—44no—
1020C4×D4—44no—
1021C4×D4—44no—
1022C4×D4—44no—
1023C4×D4—44no—
1024C4×D4—48no—
1025C4×D4—48no—
1026#117—24no—
1027#117—24no—
1028#117—24no—
1029#117—24no—
1030#117—24no—
1031#117—24no—
1032#117—44no—
1033#117—44no—
1034#117—42no—
1035#117—42no—
1036#117—44no—
1037#117—44no—
1038C2×C4⋊C4—24no—
1039C2×C4⋊C4—24no—
1040C2×C4⋊C4—42no—
1041C2×C4⋊C4—42no—
1042C2×C4⋊C4—44no—
1043C2×C4⋊C4—44no—
1044C2×C4⋊C4—42no—
1045C2×C4⋊C4—44no—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2411yescharacteristic
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2411yescharacteristic
1050C2×C4⋊C4C2411yescharacteristic
1051C2×C4⋊C4C2411yescharacteristic
1052C2×C4⋊C4C2411yescharacteristic
1053C2×C4⋊C4C2411yescharacteristic
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2411yescharacteristic
1057C2×C4⋊C4C2411yescharacteristic
1058C2×C4⋊C4C2411yescharacteristic
1059C2×C4⋊C4C2411yescharacteristic
1060C2×C4⋊C4C2411yescharacteristic
1061C2×C4⋊C4C2411yescharacteristic
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2411yescharacteristic
1067C2×C4⋊C4C2411yescharacteristic
1068C2×C4⋊C4C2411yescharacteristic
1069C2×C4⋊C4C2411yescharacteristic
1070C2×C4⋊C4C2414yes—
1071C2×C4⋊C4C2414yes—
1072C2×C4⋊C4C2414yes—
1073C2×C4⋊C4C2414yes—
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⋊C4C2412yes—
1084C2×C4⋊C4C2412yes—
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×C4⋊C4C2414yes—
1094C2×C4⋊C4C2414yes—
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2414yes—
1099C2×C4⋊C4C2414yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2412yes—
1102C2×C22⋊C4—44no—
1103C2×C22⋊C4—44no—
1104C2×C22⋊C4—42no—
1105C2×C22⋊C4—42no—
1106C2×C22⋊C4—44no—
1107C2×C22⋊C4—44no—
1108C2×C22⋊C4—82no—
1109C2×C22⋊C4—82no—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2411yescharacteristic
1121C2×C22⋊C4C2411yescharacteristic
1122C2×C22⋊C4C2411yescharacteristic
1123C2×C22⋊C4C2411yescharacteristic
1124C2×C22⋊C4C2411yescharacteristic
1125C2×C22⋊C4C2411yescharacteristic
1126C2×C22⋊C4C2411yescharacteristic
1127C2×C22⋊C4C2411yescharacteristic
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2412yes—
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
1165C2×C22⋊C4C2414yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2414yes—
1168C2×C22⋊C4C2414yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2414yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2414yes—
1175C2×C22⋊C4C2414yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2414yes—
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2414yes—
1189C2×C22⋊C4C2414yes—
1190C2×C42—24no—
1191C2×C42—44no—
1192C2×C42C2412yes—
1193C2×C42C2412yes—
1194C2×C42C2412yes—
1195C2×C42C2412yes—
1196C2×C42C2412yes—
1197C2×C42C2412yes—
1198C2×C42C2411yescharacteristic
1199C2×C42C2411yescharacteristic
1200C2×C42C2411yescharacteristic
1201C2×C42C2411yescharacteristic
1202C2×C42C2412yes—
1203C2×C42C2412yes—
1204C2×C42C2412yes—
1205C2×C42C2414yes—
1206C2×C42C2414yes—
1207C2×C42C2412yes—
1208C2×C42C2412yes—
1209C2×C42C2412yes—
1210#95C2414yes—
1211#95C2414yes—
1212#95C2414yes—
1213#95C2414yes—
1214#95C2414yes—
1215#95C2414yes—
1216#95C2412yes—
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#95C2414yes—
1241#95C2414yes—
1242#95C2414yes—
1243#95C2414yes—
1244#95C2414yes—
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—
1260C24—22no—
1261C24—24no—
1262C24—22no—
1263C24—22no—
1264C24—22no—
1265C24—22no—
1266C24—22no—
1267C24—22no—
1268C24—24no—
1269C24—24no—
1270C24—42no—
1271C24—41no—
1272C24—42no—
1273C24—41no—
1274C24—41no—
1275C24—41no—
1276C24—42no—
1277C24—41no—
1278C24—41no—
1279C24—42no—
1280C24—41no—
1281C24C2511yescharacteristic
1282C24C2511yescharacteristic
1283C24C2511yescharacteristic
1284C24C2514yes—
1285C24C2512yes—
1286C24C2512yes—
1287C24C2511yescharacteristic
1288C24C2511yescharacteristic
1289#41—432no—
1290#41—432no—
1291#41—432no—
1292#41—432no—
1293#41—416no—
1294#41—416no—
1295C2×Q8—22no—
1296C2×Q8—22no—
1297C2×Q8—22no—
1298C2×Q8—22no—
1299C2×Q8—24no—
1300C2×Q8—24no—
1301C2×Q8—24no—
1302C2×Q8—24no—
1303C2×Q8—22no—
1304C2×Q8—22no—
1305C2×Q8—24no—
1306C2×Q8—24no—
1307C2×Q8—416no—
1308C2×D4—24no—
1309C2×D4—24no—
1310C2×D4—24no—
1311C2×D4—24no—
1312C2×D4—24no—
1313C2×D4—24no—
1314C2×D4—22no—
1315C2×D4—22no—
1316C2×D4—24no—
1317C2×D4—24no—
1318C2×D4—28no—
1319C2×D4—22no—
1320C2×D4—22no—
1321C2×D4—22no—
1322C2×D4—22no—
1323C2×D4—24no—
1324C2×D4—24no—
1325C2×D4—24no—
1326C2×D4—24no—
1327C2×D4—22no—
1328C2×D4—22no—
1329C2×D4—24no—
1330C2×D4—24no—
1331C2×D4—22no—
1332C2×D4—22no—
1333C2×D4—24no—
1334C2×D4—41no—
1335C2×D4—41no—
1336C2×D4—41no—
1337C2×D4—41no—
1338C2×D4—41no—
1339C2×D4—41no—
1340C2×D4—41no—
1341C2×D4—41no—
1342C2×D4—44no—
1343C2×D4—44no—
1344C2×D4—44no—
1345C2×D4—44no—
1346C2×D4—44no—
1347C2×D4—44no—
1348C2×D4—42no—
1349C2×D4—42no—
1350C2×D4—42no—
1351C2×D4—42no—
1352C2×D4—42no—
1353C2×D4—42no—
1354C2×D4—42no—
1355C2×D4—42no—
1356C2×D4—42no—
1357C2×D4—42no—
1358C2×D4—44no—
1359C2×D4—44no—
1360C2×D4—42no—
1361C2×D4—42no—
1362C2×D4—42no—
1363C2×D4—44no—
1364C2×D4—44no—
1365C2×D4—42no—
1366C2×D4—42no—
1367C2×D4—42no—
1368C2×D4—42no—
1369C2×D4—42no—
1370C2×D4—42no—
1371C2×D4—42no—
1372C2×D4—42no—
1373C2×D4—42no—
1374C2×D4—44no—
1375C2×D4—42no—
1376C2×D4—42no—
1377C2×D4—42no—
1378C2×D4—42no—
1379C2×D4—42no—
1380C2×D4—44no—
1381C2×D4—44no—
1382C2×D4—44no—
1383C2×D4—44no—
1384C2×D4—44no—
1385C2×D4—44no—
1386C2×D4—44no—
1387C2×D4—44no—
1388C2×D4—44no—
1389C2×D4—44no—
1390C2×D4—44no—
1391C2×D4—44no—
1392C2×D4—416no—
1393C2×D4—432no—
1394C2×D4—416no—
1395C2×D4—816no—
1396C22×C4—22no—
1397C22×C4—22no—
1398C22×C4—22no—
1399C22×C4—22no—
1400C22×C4—24no—
1401C22×C4—22no—
1402C22×C4—22no—
1403C22×C4—22no—
1404C22×C4—24no—
1405C22×C4—24no—
1406C22×C4—22no—
1407C22×C4—24no—
1408C22×C4—24no—
1409C22×C4—24no—
1410C22×C4—22no—
1411C22×C4—22no—
1412C22×C4—24no—
1413C22×C4—24no—
1414C22×C4—22no—
1415C22×C4—22no—
1416C22×C4—22no—
1417C22×C4—22no—
1418C22×C4—24no—
1419C22×C4—24no—
1420C22×C4—22no—
1421C22×C4—22no—
1422C22×C4—24no—
1423C22×C4—24no—
1424C22×C4—22no—
1425C22×C4—22no—
1426C22×C4—22no—
1427C22×C4—22no—
1428C22×C4—22no—
1429C22×C4—22no—
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—44no—
1442C22×C4—44no—
1443C22×C4—44no—
1444C22×C4—44no—
1445C22×C4—44no—
1446C22×C4—44no—
1447C22×C4—41no—
1448C22×C4—42no—
1449C22×C4—42no—
1450C22×C4—42no—
1451C22×C4—41no—
1452C22×C4—42no—
1453C22×C4—42no—
1454C22×C4—42no—
1455C22×C4—42no—
1456C22×C4—41no—
1457C22×C4—42no—
1458C22×C4—42no—
1459C22×C4—44no—
1460C22×C4—44no—
1461C22×C4—44no—
1462C22×C4—44no—
1463C22×C4—44no—
1464C22×C4—44no—
1465C22×C4—432no—
1466C22×C4—416no—
1467C22×C4—416no—
1468C22×C4H(5,𝔽2)14yes—
1469C22×C4H(5,𝔽2)14yes—
1470C22×C4H(5,𝔽2)14yes—
1471C22×C4C2512yes—
1472C22×C4C2512yes—
1473C22×C4C2512yes—
1474C22×C4C2511yescharacteristic
1475C22×C4C2511yescharacteristic
1476C22×C4C2512yes—
1477C22×C4C2512yes—
1478C22×C4C2512yes—
1479C22×C4C2514yes—
1480C22×C4C2511yescharacteristic
1481C22×C4C2511yescharacteristic
1482C22×C4C2514yes—
1483C22×C4C2511yescharacteristic
1484C22×C4C2512yes—
1485C22×C4C2512yes—
1486C22×C4C2512yes—
1487C22×C4C2512yes—
1488C22×C4C2512yes—
1489C22×C4C2512yes—
1490C22×C4C2514yes—
1491C22×C4C2511yescharacteristic
1492C22×C4C2512yes—
1493C22×C4C2512yes—
1494C22×C4C2511yescharacteristic
1495C22×C4C2511yescharacteristic
1496C22×C4C2511yescharacteristic
1497C22×C4C2511yescharacteristic
1498C4⋊C4—24no—
1499C4⋊C4—24no—
1500C4⋊C4—24no—
1501C4⋊C4—24no—
1502C4⋊C4—22no—
1503C4⋊C4—22no—
1504C4⋊C4—22no—
1505C4⋊C4—22no—
1506C4⋊C4—22no—
1507C4⋊C4—22no—
1508C4⋊C4—22no—
1509C4⋊C4—22no—
1510C4⋊C4—22no—
1511C4⋊C4—22no—
1512C4⋊C4—22no—
1513C4⋊C4—22no—
1514C4⋊C4—24no—
1515C4⋊C4—24no—
1516C4⋊C4—42no—
1517C4⋊C4—42no—
1518C4⋊C4—41no—
1519C4⋊C4—41no—
1520C4⋊C4—41no—
1521C4⋊C4—41no—
1522C4⋊C4—44no—
1523C4⋊C4—44no—
1524C4⋊C4—44no—
1525C4⋊C4—44no—
1526C4⋊C4—42no—
1527C4⋊C4—42no—
1528C4⋊C4—42no—
1529C4⋊C4—42no—
1530C4⋊C4—42no—
1531C4⋊C4—42no—
1532C4⋊C4—42no—
1533C4⋊C4—42no—
1534C4⋊C4—42no—
1535C4⋊C4—42no—
1536C4⋊C4—42no—
1537C4⋊C4—42no—
1538C4⋊C4—44no—
1539C4⋊C4—44no—
1540C4⋊C4—42no—
1541C4⋊C4—44no—
1542C4⋊C4—44no—
1543C4⋊C4—44no—
1544C4⋊C4—44no—
1545C4⋊C4—44no—
1546C4⋊C4—44no—
1547C4⋊C4—42no—
1548C4⋊C4—42no—
1549C4⋊C4—44no—
1550C4⋊C4—44no—
1551C4⋊C4—44no—
1552C4⋊C4—44no—
1553C4⋊C4—42no—
1554C22⋊C4—24no—
1555C22⋊C4—24no—
1556C22⋊C4—24no—
1557C22⋊C4—24no—
1558C22⋊C4—24no—
1559C22⋊C4—24no—
1560C22⋊C4—24no—
1561C22⋊C4—28no—
1562C22⋊C4—44no—
1563C22⋊C4—42no—
1564C22⋊C4—42no—
1565C22⋊C4—41no—
1566C22⋊C4—41no—
1567C22⋊C4—41no—
1568C22⋊C4—41no—
1569C22⋊C4—41no—
1570C22⋊C4—41no—
1571C22⋊C4—41no—
1572C22⋊C4—41no—
1573C22⋊C4—44no—
1574C22⋊C4—44no—
1575C22⋊C4—44no—
1576C22⋊C4—44no—
1577C22⋊C4—44no—
1578C22⋊C4—44no—
1579C22⋊C4—44no—
1580C22⋊C4—44no—
1581C22⋊C4—44no—
1582C22⋊C4—44no—
1583C22⋊C4—42no—
1584C22⋊C4—42no—
1585C22⋊C4—42no—
1586C22⋊C4—44no—
1587C22⋊C4—44no—
1588C22⋊C4—42no—
1589C22⋊C4—42no—
1590C22⋊C4—42no—
1591C22⋊C4—42no—
1592C22⋊C4—42no—
1593C22⋊C4—42no—
1594C22⋊C4—42no—
1595C22⋊C4—42no—
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—42no—
1608C22⋊C4—44no—
1609C22⋊C4—44no—
1610C22⋊C4—44no—
1611C22⋊C4—44no—
1612C22⋊C4—44no—
1613C22⋊C4—44no—
1614C22⋊C4—44no—
1615C22⋊C4—44no—
1616C22⋊C4—42no—
1617C22⋊C4—44no—
1618C22⋊C4—44no—
1619C22⋊C4—44no—
1620C22⋊C4—44no—
1621C22⋊C4—44no—
1622C22⋊C4—44no—
1623C22⋊C4—44no—
1624C22⋊C4—44no—
1625C22⋊C4—42no—
1626C22⋊C4—42no—
1627C22⋊C4—42no—
1628C22⋊C4—42no—
1629C22⋊C4—42no—
1630C22⋊C4—42no—
1631C22⋊C4—42no—
1632C22⋊C4—44no—
1633C22⋊C4—44no—
1634C42—22no—
1635C42—22no—
1636C42—22no—
1637C42—22no—
1638C42—24no—
1639C42—24no—
1640C42—24no—
1641C42—24no—
1642C42—24no—
1643C42—24no—
1644C42—24no—
1645C42—42no—
1646C42—42no—
1647C42—42no—
1648C42—44no—
1649C42—44no—
1650C42—42no—
1651C42—42no—
1652C23—21no—
1653C23—21no—
1654C23—21no—
1655C23—21no—
1656C23—21no—
1657C23—21no—
1658C23—21no—
1659C23—21no—
1660C23—21no—
1661C23—21no—
1662C23—21no—
1663C23—21no—
1664C23—22no—
1665C23—22no—
1666C23—22no—
1667C23—22no—
1668C23—21no—
1669C23—21no—
1670C23—21no—
1671C23—21no—
1672C23—21no—
1673C23—21no—
1674C23—21no—
1675C23—22no—
1676C23—22no—
1677C23—24no—
1678C23—24no—
1679C23—24no—
1680C23—24no—
1681C23—21no—
1682C23—21no—
1683C23—22no—
1684C23—22no—
1685C23—24no—
1686C23—22no—
1687C23—22no—
1688C23—21no—
1689C23—21no—
1690C23—21no—
1691C23—21no—
1692C23—21no—
1693C23—21no—
1694C23—24no—
1695C23—22no—
1696C23—22no—
1697C23—21no—
1698C23—24no—
1699C23—21no—
1700C23—21no—
1701C23—21no—
1702C23—22no—
1703C23—22no—
1704C23—44no—
1705C23—44no—
1706C23—44no—
1707C23—44no—
1708C23—48no—
1709C23—44no—
1710C23—48no—
1711C23—48no—
1712C23—44no—
1713C23—44no—
1714C23—84no—
1715C23—82no—
1716C23—84no—
1717C23—82no—
1718C23—82no—
1719C23—82no—
1720C23—82no—
1721C23—84no—
1722C23—82no—
1723C23—82no—
1724C23—84no—
1725C23C2×H(5,𝔽2)12yes—
1726C23C2×H(5,𝔽2)12yes—
1727C23C2×H(5,𝔽2)12yes—
1728C23#58512yes—
1729C23C2611yescharacteristic
1730Q8—48no—
1731Q8—48no—
1732Q8—44no—
1733Q8—44no—
1734D4—44no—
1735D4—44no—
1736D4—44no—
1737D4—44no—
1738D4—416no—
1739D4—416no—
1740D4—48no—
1741D4—48no—
1742D4—48no—
1743D4—48no—
1744D4—44no—
1745D4—44no—
1746D4—84no—
1747D4—84no—
1748D4—84no—
1749D4—88no—
1750D4—84no—
1751D4—84no—
1752D4—84no—
1753D4—84no—
1754D4—84no—
1755D4—84no—
1756D4—84no—
1757D4—88no—
1758D4—164no—
1759D4—164no—
1760D4—164no—
1761D4—164no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—22no—
1768C2×C4—22no—
1769C2×C4—22no—
1770C2×C4—22no—
1771C2×C4—22no—
1772C2×C4—22no—
1773C2×C4—22no—
1774C2×C4—22no—
1775C2×C4—22no—
1776C2×C4—22no—
1777C2×C4—22no—
1778C2×C4—22no—
1779C2×C4—21no—
1780C2×C4—22no—
1781C2×C4—22no—
1782C2×C4—24no—
1783C2×C4—24no—
1784C2×C4—21no—
1785C2×C4—21no—
1786C2×C4—22no—
1787C2×C4—22no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—22no—
1792C2×C4—22no—
1793C2×C4—21no—
1794C2×C4—21no—
1795C2×C4—21no—
1796C2×C4—21no—
1797C2×C4—21no—
1798C2×C4—21no—
1799C2×C4—24no—
1800C2×C4—24no—
1801C2×C4—24no—
1802C2×C4—22no—
1803C2×C4—22no—
1804C2×C4—22no—
1805C2×C4—22no—
1806C2×C4—22no—
1807C2×C4—24no—
1808C2×C4—22no—
1809C2×C4—22no—
1810C2×C4—22no—
1811C2×C4—21no—
1812C2×C4—22no—
1813C2×C4—22no—
1814C2×C4—22no—
1815C2×C4—22no—
1816C2×C4—24no—
1817C2×C4—21no—
1818C2×C4—21no—
1819C2×C4—22no—
1820C2×C4—22no—
1821C2×C4—22no—
1822C2×C4—24no—
1823C2×C4—22no—
1824C2×C4—21no—
1825C2×C4—22no—
1826C2×C4—24no—
1827C2×C4—22no—
1828C2×C4—21no—
1829C2×C4—22no—
1830C2×C4—22no—
1831C2×C4—22no—
1832C2×C4—22no—
1833C2×C4—22no—
1834C2×C4—22no—
1835C2×C4—21no—
1836C2×C4—44no—
1837C2×C4—416no—
1838C2×C4—416no—
1839C2×C4—44no—
1840C2×C4—44no—
1841C2×C4—48no—
1842C2×C4—44no—
1843C2×C4—44no—
1844C2×C4—44no—
1845C2×C4—44no—
1846C2×C4—44no—
1847C2×C4—44no—
1848C2×C4—44no—
1849C2×C4—44no—
1850C2×C4—48no—
1851C2×C4—48no—
1852C2×C4—84no—
1853C2×C4—82no—
1854C2×C4—84no—
1855C2×C4—84no—
1856C2×C4—84no—
1857C2×C4—164no—
1858C2×C4—164no—
1859C2×C4#560116yes—
1860C2×C4C2×H(5,𝔽2)12yes—
1861C2×C4C2×H(5,𝔽2)12yes—
1862C2×C4C2×H(5,𝔽2)12yes—
1863C2×C4C2×H(5,𝔽2)12yes—
1864C2×C4C2×H(5,𝔽2)12yes—
1865C2×C4C2×H(5,𝔽2)12yes—
1866C2×C4#58512yes—
1867C22—22no—
1868C22—22no—
1869C22—22no—
1870C22—22no—
1871C22—22no—
1872C22—22no—
1873C22—22no—
1874C22—22no—
1875C22—22no—
1876C22—41no—
1877C22—41no—
1878C22—41no—
1879C22—41no—
1880C22—41no—
1881C22—41no—
1882C22—41no—
1883C22—42no—
1884C22—42no—
1885C22—44no—
1886C22—42no—
1887C22—42no—
1888C22—44no—
1889C22—41no—
1890C22—41no—
1891C22—41no—
1892C22—42no—
1893C22—41no—
1894C22—44no—
1895C22—41no—
1896C22—42no—
1897C22—41no—
1898C22—41no—
1899C22—41no—
1900C22—42no—
1901C22—42no—
1902C22—44no—
1903C22—41no—
1904C22—44no—
1905C22—41no—
1906C22—41no—
1907C22—41no—
1908C22—42no—
1909C22—42no—
1910C22—41no—
1911C22—42no—
1912C22—42no—
1913C22—44no—
1914C22—41no—
1915C22—41no—
1916C22—42no—
1917C22—41no—
1918C22—41no—
1919C22—42no—
1920C22—44no—
1921C22—41no—
1922C22—88no—
1923C22—88no—
1924C22—816no—
1925C22C2×#56014yes—
1926C22C22×H(5,𝔽2)11yescharacteristic
1927C22C22×H(5,𝔽2)11yescharacteristic
1928C22C22×H(5,𝔽2)11yescharacteristic
1929C22C2×#58511yescharacteristic
1930C22C2×#58511yescharacteristic
1931C22H(7,𝔽2)11yescharacteristic
1932C222−1+611yescharacteristic
1933C4—22no—
1934C4—41no—
1935C4—42no—
1936C4—42no—
1937C4—41no—
1938C4—42no—
1939C4—41no—
1940C4—42no—
1941C4—44no—
1942C4—42no—
1943C4—42no—
1944C4—42no—
1945C4—42no—
1946C4—41no—
1947C4—41no—
1948C4—41no—
1949C4—41no—
1950C4—44no—
1951C4—42no—
1952C4—42no—
1953C4—42no—
1954C4—42no—
1955C4—44no—
1956C4—42no—
1957C4—42no—
1958C4C2×#56014yes—
1959C4C2×#56014yes—
1960C2—24no—
1961C2—42no—
1962C2—82no—
1963C2—82no—
1964C2—81no—
1965C2—81no—
1966C2—81no—
1967C2—84no—
1968C2C22×#56011yescharacteristic
1969C2#6282111yescharacteristic
1970C2#6287511yescharacteristic
1971C2#6292411yescharacteristic
1972C2#6292511yescharacteristic
1973C2#6295411yescharacteristic
1974C2#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. #53098C2semidirect
2. #53098C2semidirect
3. #53098C2semidirect
4. #53078C2semidirect
5. #53073C2semidirect
6. #53066C2semidirect
7. #53059C2semidirect
8. #53047C2semidirect
9. #52340C2semidirect
10. #52308C2semidirect
11. #46339C2semidirect
12. #46339C2semidirect
13. #46339C2semidirect
14. #46333C2semidirect
15. #45708C2semidirect
16. #45628C2semidirect
17. #45604C2semidirect
18. #45538C2semidirect
19. #45536C2semidirect
20. #45522C2semidirect
21. #35633C2semidirect
22. #35621C2semidirect
23. #35563C2semidirect
24. #35533C2semidirect
25. #35516C2semidirect
26. #35516C2semidirect
27. #35313C2semidirect
28. #35306C2semidirect
29. #35266C2semidirect
30. #35252C2semidirect
31. #35149C2semidirect
32. #35149C2semidirect
33. #34936C2semidirect
34. #34809C2semidirect
35. C2×#2407C2semidirect
52. #2863C22semidirect
53. #2863C22semidirect
54. #2860C22semidirect
55. #2860C22semidirect
56. #2857C22semidirect
57. #2856C22semidirect
58. #2850C22semidirect
59. #2850C22semidirect
62. #2837C22semidirect
63. #2837C22semidirect
64. #2837C22semidirect
65. #2829C22semidirect
66. #2829C22semidirect
67. #2829C22semidirect
68. #2828C22semidirect
69. #2828C22semidirect
70. #2828C22semidirect
71. #2827C22semidirect
72. #2827C22semidirect
73. #2827C22semidirect
74. #2825C22semidirect
75. #2825C22semidirect
76. #2825C22semidirect
77. #2825C22semidirect
78. #2818C22semidirect
79. #2813C22semidirect
80. #2813C22semidirect
81. #2813C22semidirect
82. #2803C22semidirect
83. #2803C22semidirect
84. #2803C22semidirect
85. #2801C22semidirect
86. #2797C22semidirect
87. #2797C22semidirect
88. #2797C22semidirect
89. #2796C22semidirect
90. #2796C22semidirect
91. #2796C22semidirect
92. #2790C22semidirect
93. #2790C22semidirect
94. #2790C22semidirect
95. #2780C22semidirect
96. #2780C22semidirect
97. #2780C22semidirect
98. #2756C22semidirect
99. #2756C22semidirect
100. #2756C22semidirect
101. #2749C22semidirect
102. #2749C22semidirect
103. #2749C22semidirect
104. #2746C22semidirect
105. #2746C22semidirect
106. #2746C22semidirect
107. #2705C22semidirect
108. #2705C22semidirect
109. #2705C22semidirect
110. #2703C22semidirect
111. #2703C22semidirect
112. #2703C22semidirect
113. #2691C22semidirect
114. #2691C22semidirect
115. #2691C22semidirect
116. #2688C22semidirect
117. #2688C22semidirect
118. #2688C22semidirect
119. #2673C22semidirect
120. #2673C22semidirect
121. #2673C22semidirect
122. #2645C22semidirect
123. #2645C22semidirect
124. #2644C22semidirect
125. #2644C22semidirect
126. #2621C22semidirect
127. #2620C22semidirect
128. #2620C22semidirect
129. #2619C22semidirect
132. #2548C22semidirect
133. #2547C22semidirect
134. #2546C22semidirect
135. #2545C22semidirect
136. #2545C22semidirect
137. #2544C22semidirect
138. #2544C22semidirect
139. #2542C22semidirect
140. #2542C22semidirect
141. #2541C22semidirect
142. #2541C22semidirect
143. #2541C22semidirect
144. #2540C22semidirect
145. #2540C22semidirect
146. #2540C22semidirect
147. #2540C22semidirect
152. #2514C22semidirect
153. #2514C22semidirect
154. #2513C22semidirect
155. #2513C22semidirect
156. #2512C22semidirect
157. #2512C22semidirect
158. #2511C22semidirect
159. #2511C22semidirect
163. #2487C22semidirect
164. #2487C22semidirect
165. #2487C22semidirect
166. #2487C22semidirect
168. #2486C22semidirect
169. #2486C22semidirect
170. #2486C22semidirect
171. #2486C22semidirect
172. #2485C22semidirect
173. #2485C22semidirect
174. #2485C22semidirect
175. #2485C22semidirect
176. #2485C22semidirect
177. #2485C22semidirect
178. #2485C22semidirect
179. #2485C22semidirect
186. #2432C22semidirect
187. #2432C22semidirect
188. #2432C22semidirect
189. #2432C22semidirect
190. #2431C22semidirect
191. #2431C22semidirect
192. #2431C22semidirect
193. #2431C22semidirect
194. #2429C22semidirect
195. #2429C22semidirect
196. #2428C22semidirect
197. #2428C22semidirect
198. #2427C22semidirect
199. #2427C22semidirect
200. #2426C22semidirect
201. #2426C22semidirect
206. #2423C22semidirect
207. #2423C22semidirect
208. #2422C22semidirect
209. #2422C22semidirect
210. #2421C22semidirect
211. #2421C22semidirect
212. #2420C22semidirect
213. #2420C22semidirect
218. #2417C22semidirect
219. #2417C22semidirect
220. #2417C22semidirect
221. #2417C22semidirect
222. #2417C22semidirect
223. #2417C22semidirect
224. #2416C22semidirect
225. #2416C22semidirect
226. #2416C22semidirect
227. #2416C22semidirect
228. #2416C22semidirect
229. #2416C22semidirect
230. #2415C22semidirect
231. #2415C22semidirect
232. #2415C22semidirect
233. #2415C22semidirect
234. #2415C22semidirect
235. #2415C22semidirect
236. #2414C22semidirect
237. #2414C22semidirect
238. #2414C22semidirect
239. #2414C22semidirect
240. #2414C22semidirect
241. #2414C22semidirect
255. #2407C22semidirect
256. #2407C22semidirect
257. #2407C22semidirect
258. #2407C22semidirect
259. #2407C22semidirect
260. #2407C22semidirect
261. #2407C22semidirect
262. #2407C22semidirect
264. #2397C22semidirect
265. #2397C22semidirect
266. #2395C22semidirect
267. #2395C22semidirect
270. #2383C22semidirect
271. #2377C22semidirect
272. #2377C22semidirect
273. #2377C22semidirect
284. C4×#127C22semidirect
285. C4×#127C22semidirect
286. C4×#123C22semidirect
287. C4×#123C22semidirect

Maximal subgroups

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

subgroupindex
#530982
#530782
#530732
#530662
#530592
#530472
#523402
#523082
#463392
#463332
#457082
#456282
#456042
#455382
#455362
#455222
#356332
#356212
#355632
#355332
#355162
#353132
#353062
#352662
#352522
#351492
#349362
#348092
C2×#24072