Finite Group Databasebeta

← #7690607

Subgroups — #7690607

Order 512.

5687 conjugacy classes of subgroups.

The subgroup lattice has 1728 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59897C212yesmaximal, complemented
2#59823C211yesmaximal, characteristic, complemented
3#59569C212yesmaximal, complemented
4#59466C211yesmaximal, characteristic, complemented
5#59465C211yesmaximal, characteristic, complemented
6#59455C212yesmaximal, complemented
7#59320C214yesmaximal, complemented
8#59155C212yesmaximal, complemented
9#45131C212yesmaximal, complemented
10#44944C212yesmaximal, complemented
11#43512C214yesmaximal, complemented
12#43122C214yesmaximal, complemented
13#39690C212yesmaximal, complemented
14#39685C214yesmaximal, complemented
15#39498C211yesmaximal, characteristic, complemented
16#39495C212yesmaximal, complemented
17#38966C211yesmaximal, characteristic, complemented
18#38962C212yesmaximal, complemented
19#36573C211yesmaximal, characteristic, complemented
20#36551C212yesmaximal, complemented
21#36407C211yesmaximal, characteristic, complemented
22#36290C211yesmaximal, characteristic, complemented
23#36261C211yesmaximal, characteristic, complemented
24#36215C212yesmaximal, complemented
25#36154C212yesmaximal, complemented
26D4×#125C211yesmaximal, characteristic, complemented
27#35836C212yesmaximal, complemented
28#35776C212yesmaximal, complemented
29#34893C211yesmaximal, characteristic, complemented
30C2×#2454C212yesmaximal, complemented
31#34310C211yesmaximal, characteristic
32#34310C211yesmaximal, characteristic
33#34248C212yesmaximal, complemented
34C4×#554C211yesmaximal, characteristic, complemented
35C4×D42C211yesmaximal, characteristic
36C2×#554C2211yescharacteristic
37C2×#554C2212yes—
38C2×#554C2212yescomplemented
39C2×D42C2211yescharacteristic
40C22×#125C2212yescomplemented
41C2×#518C2212yes—
42C2×#518C2212yes—
43C22×C4×D4C2212yes—
44C22×C4×D4C2212yes—
45#2859C2211yescharacteristic, complemented
46#2859C2211yescharacteristic, complemented
47#2859C2211yescharacteristic, complemented
48#2857C2212yescomplemented
49#2857C2212yescomplemented
50#2851C2212yescomplemented
51#2851C2212yescomplemented
52#2848C2214yescomplemented
53#2807C2214yescomplemented
54#2807C2214yescomplemented
55#2804C2214yescomplemented
56#2790C2214yescomplemented
57#2788C2214yescomplemented
58#2788C2214yescomplemented
59#2788C2214yescomplemented
60#2784C2214yescomplemented
61#2784C2214yescomplemented
62#2780C2214yescomplemented
63#2780C2214yescomplemented
64#2780C2214yescomplemented
65#2768C2214yescomplemented
66#2768C2214yescomplemented
67#2748C2214yescomplemented
68#2748C2214yescomplemented
69#2732C2214yescomplemented
70#2732C2214yescomplemented
71#2720C2214yescomplemented
72#2704C2214yescomplemented
73#2692C2214yescomplemented
74#2629C2212yescomplemented
75#2628C2212yescomplemented
76#2626C2214yescomplemented
77#2626C2214yescomplemented
78#2589C2214yescomplemented
79#2589C2214yescomplemented
80#2589C2212yescomplemented
81#2587C2214yescomplemented
82#2587C2212yescomplemented
83#2584C2212yescomplemented
84#2584C2211yescharacteristic, complemented
85#2584C2212yescomplemented
86#2583C2214yescomplemented
87#2580C2212yes—
88#2580C2211yescharacteristic
89#2580C2212yescomplemented
90#2580C2212yescomplemented
91#2580C2212yescomplemented
92#2579C2214yescomplemented
93#2579C2214yescomplemented
94#2579C2214yescomplemented
95#2574C2214yescomplemented
96#2571C2211yescharacteristic, complemented
97#2566C2211yescharacteristic
98#2566C2212yes—
99#2566C2212yescomplemented
100#2566C2212yescomplemented
101#2564C2214yescomplemented
102#2564C2214yescomplemented
103#2564C2214yescomplemented
104#2563C2212yescomplemented
105#2563C2212yescomplemented
106#2556C2214yescomplemented
107#2556C2214yescomplemented
108#2552C2211yescharacteristic, complemented
109#2552C2211yescharacteristic, complemented
110#2552C2212yescomplemented
111#2552C2211yescharacteristic, complemented
112#2552C2211yescharacteristic, complemented
113#2551C2211yescharacteristic, complemented
114#2550C2212yescomplemented
115#2550C2211yescharacteristic, complemented
116#2549C2214yescomplemented
117#2549C2214yescomplemented
118#2542C2212yescomplemented
119#2538C2212yescomplemented
120#2538C2212yescomplemented
121#2538C2212yescomplemented
122#2522C2212yescomplemented
123#2522C2214yescomplemented
124#2509C2212yescomplemented
125#2509C2212yescomplemented
126#2509C2211yescharacteristic, complemented
127#2508C2212yescomplemented
128#2507C2212yescomplemented
129#2507C2211yescharacteristic, complemented
130#2506C2212yescomplemented
131#2506C2212yescomplemented
132#2505C2214yescomplemented
133#2505C2214yescomplemented
134#2497C2214yescomplemented
135#2487C2214yescomplemented
136#2487C2214yescomplemented
137#2473C2214yescomplemented
138#2473C2214yescomplemented
139#2473C2214yescomplemented
140#2473C2214yescomplemented
141#2465C2212yescomplemented
142#2454C2212yes—
143#2454C2212yes—
144#2454C2212yes—
145#2454C2211yescharacteristic
146#2454C2214yescomplemented
147#2454C2212yescomplemented
148#2454C2212yescomplemented
149#2454C2212yescomplemented
150#2454C2212yescomplemented
151#2454C2212yescomplemented
152#2454C2212yescomplemented
153#2454C2212yescomplemented
154#2454C2212yescomplemented
155#2454C2212yescomplemented
156#2454C2214yescomplemented
157#2454C2212yescomplemented
158#2454C2214yescomplemented
159#2454C2212yescomplemented
160#2454C2214yescomplemented
161#2454C2212yescomplemented
162#2454C2212yescomplemented
163#2454C2212yescomplemented
164#2452C2212yes—
165#2452C2211yescharacteristic
166#2452C2212yescomplemented
167#2452C2212yescomplemented
168#2450C2214yescomplemented
169#2450C2214yescomplemented
170#2450C2214yescomplemented
171#2450C2214yescomplemented
172#2449C2214yescomplemented
173#2449C2214yescomplemented
174#2449C2214yescomplemented
175#2449C2214yescomplemented
176#2442C2212yescomplemented
177#2442C2212yescomplemented
178#2442C2212yescomplemented
179#2442C2212yescomplemented
180#2442C2212yescomplemented
181#2442C2212yescomplemented
182#2441C2212yescomplemented
183#2441C2212yescomplemented
184#2441C2212yescomplemented
185#2440C2212yescomplemented
186#2440C2212yescomplemented
187#2439C2212yescomplemented
188#2437C2214yescomplemented
189#2437C2214yescomplemented
190#2437C2214yescomplemented
191#2437C2214yescomplemented
192#2437C2214yescomplemented
193#2437C2214yescomplemented
194#2417C2214yescomplemented
195#2417C2214yescomplemented
196#2417C2214yescomplemented
197#2396C2212yescomplemented
198#2396C2212yescomplemented
199C2×#399C2214yescomplemented
200C2×#396C2214yescomplemented
201#2370C2212yescomplemented
202#2370C2211yescharacteristic, complemented
203#2370C2211yescharacteristic, complemented
204#2369C2211yescharacteristic, complemented
205#2369C2212yescomplemented
206#2368C2212yescomplemented
207#2368C2212yescomplemented
208#2366C2211yescharacteristic
209#2366C2211yescharacteristic
210#2366C2211yescharacteristic
211#2363C2212yes—
212#2363C2212yes—
213#2361C2212yes—
214#2361C2212yes—
215#2361C2212yes—
216#2361C2212yes—
217#2360C2212yescomplemented
218#2358C2214yes—
219#2358C2214yes—
220#2358C2214yes—
221#2355C2211yescharacteristic, complemented
222#2354C2211yescharacteristic
223#2354C2211yescharacteristic
224#2349C2211yescharacteristic
225#2349C2212yes—
226#2349C2211yescharacteristic
227#2349C2212yes—
228#2349C2212yescomplemented
229#2349C2212yescomplemented
230#2349C2214yescomplemented
231#2349C2212yescomplemented
232#2349C2212yescomplemented
233#2349C2212yescomplemented
234#2349C2214yescomplemented
235D4×C4⋊C4C2211yescharacteristic
236D4×C4⋊C4C2211yescharacteristic
237D4×C4⋊C4C2212yes—
238D4×C4⋊C4C2211yescharacteristic
239D4×C4⋊C4C2212yes—
240D4×C4⋊C4C2211yescharacteristic
241D4×C4⋊C4C2211yescharacteristic
242D4×C4⋊C4C2212yes—
243D4×C4⋊C4C2214yescomplemented
244D4×C4⋊C4C2214yescomplemented
245D4×C4⋊C4C2212yescomplemented
246D4×C4⋊C4C2212yescomplemented
247D4×C4⋊C4C2212yescomplemented
248#2345C2212yescomplemented
249#2345C2214yescomplemented
250D4×C22⋊C4C2212yes—
251D4×C22⋊C4C2212yes—
252D4×C22⋊C4C2212yes—
253D4×C22⋊C4C2212yes—
254D4×C22⋊C4C2212yes—
255D4×C22⋊C4C2212yes—
256#2324C2212yes—
257#2324C2212yes—
258#2321C2214yes—
259#2321C2214yes—
260#2317C2212yescomplemented
261#2317C2212yescomplemented
262#2315C2214yescomplemented
263#2315C2214yescomplemented
264C4×C4⋊Q8C2211yescharacteristic, complemented
265C4×C4⋊Q8C2211yescharacteristic, complemented
266C4×#127C2211yescharacteristic
267C4×#127C2211yescharacteristic
268C4×#127C2211yescharacteristic
269C4×#125C2211yescharacteristic, complemented
270C4×#125C2211yescharacteristic, complemented
271C4×#125C2211yescharacteristic, complemented
272C4×#125C2211yescharacteristic, complemented
273C4×C22⋊Q8C2212yescomplemented
274C4×C22⋊Q8C2212yescomplemented
275C4×C22⋊Q8C2212yescomplemented
276C4×C22⋊Q8C2212yescomplemented
277C4×#121C2212yes—
278C4×#121C2212yes—
279C4×#121C2212yes—
280C4×#121C2212yes—
281C4×#120C2214yes—
282#2296C2212yescomplemented
283#2296C2212yescomplemented
284#2293C2211yescharacteristic
285#2293C2211yescharacteristic
286C2×#390C2212yes—
287C2×#390C2212yes—
288C2×#389C2212yescomplemented
289C2×#389C2212yescomplemented
290C2×#385C2214yescomplemented
291C2×#385C2214yescomplemented
292C2×#380C2214yescomplemented
293C42×Q8C2211yescharacteristic, complemented
294C42×D4C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C2×C4×C4⋊C4C2212yescomplemented
299C23×D4C2312yes—
300C23×D4C2312yes—
301C24×C4C2314yes—
302#554—28no—
303#554—48no—
304#554—48no—
305D42Q8116yescomplemented
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×#127C2311yescharacteristic
311C2×#125—48no—
312C2×#125C2311yescharacteristic
313C2×#125C2311yescharacteristic
314C2×#125C2311yescharacteristic
315C2×#125C2312yes—
316C2×#125C2311yescharacteristic
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#125C2314yes—
323C2×#125C2314yes—
324C2×#125C2312yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2314yes—
329C2×C22⋊Q8C2314yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2314yes—
332C2×C22⋊Q8C2314yes—
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2314yes—
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2314yes—
337C2×C22⋊Q8C2314yes—
338C2×#121C2312yes—
339C2×#121C2312yes—
340C2×#120C2314yes—
341#518—216no—
342#518—48no—
343C2×C4×Q8C2311yescharacteristic
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2311yescharacteristic
347C2×C4×Q8C2311yescharacteristic
348C2×C4×D4—48no—
349C2×C4×D4—48no—
350C2×C4×D4C2312yes—
351C2×C4×D4C2314yes—
352C2×C4×D4C2311yescharacteristic
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2312yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2314yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2314yes—
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2314yes—
378C2×C4×D4C2314yes—
379C2×C4×D4C2314yes—
380C2×C4×D4C2314yes—
381C2×C4×D4C2314yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2311yescharacteristic
386C2×C4×D4C2311yescharacteristic
387C2×#117C2312yes—
388C2×#117C2312yes—
389C2×#117C2312yes—
390C2×#117C2312yes—
391C22×C4⋊C4C2312yes—
392C22×C4⋊C4C2312yes—
393C22×C4⋊C4C2312yes—
394C22×C4⋊C4C2314yes—
395C22×C4⋊C4C2314yes—
396C22×C4⋊C4C2314yes—
397C22×C4⋊C4C2312yes—
398C22×C4⋊C4C2314yes—
399C22×C4⋊C4C2312yes—
400C22×C4⋊C4C2312yes—
401C22×C4⋊C4C2314yes—
402C22×C4⋊C4C2314yes—
403C22×C22⋊C4C2314yes—
404C22×C22⋊C4C2314yes—
405C22×C22⋊C4C2314yes—
406C22×C22⋊C4C2314yes—
407C22×C22⋊C4C2314yes—
408C22×C22⋊C4C2314yes—
409C22×C22⋊C4C2314yes—
410C22×C22⋊C4C2314yes—
411C22×C42C2312yes—
412C22×C42C2312yes—
413C22×C42C2312yes—
414C22×C42C2312yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2312yes—
419#400C2314yes—
420#400C2312yes—
421#400C2314yes—
422#400C2314yes—
423#400C2314yes—
424#400C2314yes—
425#399C2314yes—
426#399C2314yes—
427#399C2314yes—
428#399C2314yes—
429#399C2312yes—
430#399C2314yes—
431#399C2314yes—
432#399C2314yes—
433#399C2314yes—
434#399C2312yes—
435#399C2314yes—
436#399C2314yes—
437#399C2314yes—
438#399C2314yes—
439#398C2314yes—
440#398C2312yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2312yes—
449#398C2314yes—
450#398C2312yes—
451#398C2314yes—
452#398C2312yes—
453#398C2314yes—
454#398C2314yes—
455#398C2314yes—
456#398C2314yes—
457#396C2312yes—
458#396C2314yes—
459#396C2314yes—
460#396C2312yes—
461#396C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2312yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2312yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#395C2312yes—
480#395C2314yes—
481#395C2314yes—
482#395C2314yes—
483#395C2314yes—
484#395C2312yes—
485#393C2314yes—
486#393C2314yes—
487#393C2314yes—
488#393C2312yes—
489#393C2314yes—
490#393C2314yes—
491#393C2312yes—
492#393C2314yes—
493#391C2312yes—
494#391C2312yes—
495#391C2314yes—
496#391C2314yes—
497#391C2314yes—
498#391C2312yes—
499#391C2312yes—
500#391C2312yes—
501#391C2312yes—
502#390C2312yes—
503#390C2312yes—
504#390C2312yes—
505#390C2312yes—
506#390C2312yes—
507#390C2312yes—
508#390C2312yes—
509#390C2312yes—
510#390C2312yes—
511#390C2312yes—
512#390C2312yes—
513#390C2311yescharacteristic
514#390C2311yescharacteristic
515#390C2312yes—
516#390C2311yescharacteristic
517#390C2312yes—
518#390C2314yes—
519#390C2314yes—
520#390C2312yes—
521#390C2312yes—
522#390C2311yescharacteristic
523#390C2312yes—
524#390C2314yes—
525#390C2314yes—
526#390C2312yes—
527#389C2311yescharacteristic
528#389C2311yescharacteristic
529#389C2311yescharacteristic
530#389C2311yescharacteristic
531#389C2311yescharacteristic
532#389C2311yescharacteristic
533#389C2311yescharacteristic
534#389C2311yescharacteristic
535#389C2311yescharacteristic
536#389C2312yes—
537#389C2311yescharacteristic
538#389C2312yes—
539#389C2311yescharacteristic
540#389C2311yescharacteristic
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2314yes—
545#389C2314yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2314yes—
560#389C2314yes—
561#389C2311yescharacteristic
562#389C2314yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2311yescharacteristic
569#389C2311yescharacteristic
570#389C2312yes—
571#389C2312yes—
572#389C2314yes—
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2314yes—
578#389C2312yes—
579#389C2314yes—
580#389C2312yes—
581#389C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2312yes—
585#389C2312yes—
586#389C2314yes—
587#389C2312yes—
588#389C2312yes—
589#389C2314yes—
590#389C2314yes—
591#389C2311yescharacteristic
592#388C2314yes—
593#388C2314yes—
594#388C2312yes—
595#388C2312yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2312yes—
601#388C2312yes—
602#388C2314yes—
603#388C2314yes—
604#387C2312yes—
605#387C2312yes—
606#387C2312yes—
607#387C2312yes—
608#387C2312yes—
609#387C2312yes—
610#387C2312yes—
611#387C2312yes—
612#387C2312yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2312yes—
618#387C2314yes—
619#387C2312yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2312yes—
624#387C2312yes—
625#387C2312yes—
626#387C2312yes—
627#387C2312yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#385C2314yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2312yes—
650#385C2314yes—
651#385C2312yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2312yes—
656#385C2312yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2312yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2312yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2312yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2312yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2312yes—
694#385C2312yes—
695#385C2314yes—
696#385C2312yes—
697#385C2312yes—
698#384C2311yescharacteristic
699#384C2311yescharacteristic
700#384C2311yescharacteristic
701#384C2311yescharacteristic
702#384C2311yescharacteristic
703#384C2312yes—
704#384C2312yes—
705#384C2314yes—
706#384C2312yes—
707#384C2312yes—
708#382C2311yescharacteristic
709#382C2311yescharacteristic
710#382C2311yescharacteristic
711#382C2311yescharacteristic
712#382C2312yes—
713#382C2312yes—
714#382C2312yes—
715#382C2312yes—
716#382C2314yes—
717#382C2312yes—
718#380C2314yes—
719#380C2314yes—
720#380C2314yes—
721#380C2314yes—
722#380C2314yes—
723#380C2314yes—
724#380C2314yes—
725#380C2314yes—
726#380C2312yes—
727#380C2314yes—
728#380C2314yes—
729#380C2314yes—
730#380C2314yes—
731#380C2314yes—
732#380C2314yes—
733#380C2314yes—
734#380C2314yes—
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2314yes—
744#380C2314yes—
745#380C2314yes—
746#380C2314yes—
747#380C2314yes—
748#380C2312yes—
749#379C2314yes—
750#379C2314yes—
751#379C2314yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2314yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2314yes—
809C4×C22⋊C4C2312yes—
810C2×#95C2314yes—
811C2×#95C2314yes—
812C2×#95C2314yes—
813C2×#95C2312yes—
814C2×#95C2312yes—
815C2×#95C2314yes—
816C43C2311yescharacteristic
817C43C2311yescharacteristic
818C43C2311yescharacteristic
819C25C2414yes—
820C22×Q8C2411yescharacteristic
821C22×Q8C2412yes—
822C22×Q8C2412yes—
823C22×Q8C2414yes—
824C22×D4—28no—
825C22×D4—28no—
826C22×D4—44no—
827C22×D4—44no—
828C22×D4C2×Q8116yes—
829C22×D4C2×Q8116yes—
830C22×D4C2414yes—
831C22×D4C2412yes—
832C22×D4C2412yes—
833C22×D4C2411yescharacteristic
834C22×D4C2412yes—
835C22×D4C2414yes—
836C22×D4C2411yescharacteristic
837C23×C4—48no—
838C23×C4—48no—
839C23×C4—48no—
840C23×C4C2414yes—
841C23×C4C2412yes—
842C23×C4C2412yes—
843C23×C4C2412yes—
844C23×C4C2412yes—
845C23×C4C2414yes—
846C23×C4C2412yes—
847C23×C4C2414yes—
848C23×C4C2412yes—
849C23×C4C2412yes—
850C23×C4C2412yes—
851C23×C4C2414yes—
852C23×C4C2414yes—
853C23×C4C2414yes—
854C23×C4C2414yes—
855C23×C4C2412yes—
856C23×C4C2414yes—
857C23×C4C2414yes—
858C23×C4C2414yes—
859C23×C4C2412yes—
860C4⋊Q8—24no—
861C4⋊Q8—24no—
862C4⋊Q8—44no—
863C4⋊Q8—44no—
864#127C2×Q818yes—
865#125—24no—
866#125—24no—
867#125—24no—
868#125—28no—
869#125—44no—
870#125—44no—
871#125—42no—
872#125—44no—
873#125—44no—
874#125—44no—
875#125—48no—
876#125—48no—
877#125—82no—
878C22⋊Q8—28no—
879C22⋊Q8—28no—
880C22⋊Q8—28no—
881C22⋊Q8—48no—
882C22⋊Q8—48no—
883C22⋊Q8—48no—
884C22⋊Q8—48no—
885C22⋊Q8—48no—
886C22⋊Q8—44no—
887C22⋊Q8—48no—
888C22⋊Q8—84no—
889C22⋊Q8—84no—
890C22⋊Q8—84no—
891#121C2×Q8116yes—
892#121C2×Q8116yes—
893#120C2×Q8132yes—
894C4×Q8—24no—
895C4×Q8—42no—
896C4×Q8—44no—
897C4×Q8—44no—
898C4×Q8—42no—
899C4×D4—28no—
900C4×D4—24no—
901C4×D4—24no—
902C4×D4—24no—
903C4×D4—28no—
904C4×D4—24no—
905C4×D4—28no—
906C4×D4—24no—
907C4×D4—216no—
908C4×D4—28no—
909C4×D4—24no—
910C4×D4—28no—
911C4×D4—216no—
912C4×D4—28no—
913C4×D4—44no—
914C4×D4—44no—
915C4×D4—44no—
916C4×D4—44no—
917C4×D4—44no—
918C4×D4—44no—
919C4×D4—42no—
920C4×D4—44no—
921C4×D4—44no—
922C4×D4—44no—
923C4×D4—44no—
924C4×D4—44no—
925C4×D4—48no—
926C4×D4—48no—
927C4×D4—48no—
928C4×D4—48no—
929C4×D4—48no—
930C4×D4—48no—
931C4×D4—82no—
932C4×D4—82no—
933C4×D4C2×Q818yes—
934C4×D4C2×Q818yes—
935C4×D4#4118yes—
936#117—28no—
937#117—28no—
938#117—44no—
939#117—44no—
940C2×C4⋊C4—28no—
941C2×C4⋊C4—28no—
942C2×C4⋊C4—44no—
943C2×C4⋊C4—48no—
944C2×C4⋊C4—44no—
945C2×C4⋊C4—44no—
946C2×C4⋊C4—48no—
947C2×C4⋊C4—44no—
948C2×C4⋊C4—48no—
949C2×C4⋊C4—48no—
950C2×C4⋊C4—48no—
951C2×C4⋊C4—84no—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2411yescharacteristic
1036C2×C4⋊C4C2411yescharacteristic
1037C2×C4⋊C4C2411yescharacteristic
1038C2×C4⋊C4C2411yescharacteristic
1039C2×C22⋊C4—216no—
1040C2×C22⋊C4—216no—
1041C2×C22⋊C4—48no—
1042C2×C22⋊C4—48no—
1043C2×C22⋊C4—48no—
1044C2×C22⋊C4—48no—
1045C2×C22⋊C4—84no—
1046C2×C22⋊C4—84no—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2412yes—
1092C2×C42—44no—
1093C2×C42—44no—
1094C2×C42—44no—
1095C2×C42—44no—
1096C2×C42C2411yescharacteristic
1097C2×C42C2412yes—
1098C2×C42C2412yes—
1099C2×C42C2414yes—
1100C2×C42C2411yescharacteristic
1101C2×C42C2411yescharacteristic
1102C2×C42C2411yescharacteristic
1103C2×C42C2412yes—
1104C2×C42C2412yes—
1105C2×C42C2411yescharacteristic
1106C2×C42C2411yescharacteristic
1107C2×C42C2411yescharacteristic
1108C2×C42C2412yes—
1109C2×C42C2411yescharacteristic
1110C2×C42C2411yescharacteristic
1111C2×C42C2411yescharacteristic
1112C2×C42C2412yes—
1113C2×C42C2411yescharacteristic
1114C2×C42C2411yescharacteristic
1115C2×C42C2414yes—
1116C2×C42C2411yescharacteristic
1117C2×C42C2411yescharacteristic
1118C2×C42C2412yes—
1119C2×C42C2412yes—
1120C2×C42C2412yes—
1121C2×C42C2412yes—
1122C2×C42C2411yescharacteristic
1123C2×C42C2411yescharacteristic
1124C2×C42C2411yescharacteristic
1125C2×C42C2412yes—
1126C2×C42C2412yes—
1127C2×C42C2412yes—
1128C2×C42C2412yes—
1129C2×C42C2411yescharacteristic
1130C2×C42C2411yescharacteristic
1131#95C2411yescharacteristic
1132#95C2411yescharacteristic
1133#95C2411yescharacteristic
1134#95C2412yes—
1135#95C2414yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2411yescharacteristic
1174#95C2411yescharacteristic
1175#95C2412yes—
1176#95C2411yescharacteristic
1177#95C2414yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195C24—28no—
1196C24—28no—
1197C24—44no—
1198C24—44no—
1199C24—44no—
1200C24—44no—
1201C24C22×Q8116yes—
1202C24C2512yes—
1203C24C2514yes—
1204C24C2512yes—
1205C2×Q8—22no—
1206C2×Q8—24no—
1207C2×Q8—24no—
1208C2×Q8—41no—
1209C2×Q8—41no—
1210C2×Q8—42no—
1211C2×Q8—42no—
1212C2×Q8—42no—
1213C2×Q8—42no—
1214C2×Q8—44no—
1215C2×Q8—44no—
1216C2×Q8—44no—
1217C2×D4—28no—
1218C2×D4—28no—
1219C2×D4—264no—
1220C2×D4—24no—
1221C2×D4—24no—
1222C2×D4—22no—
1223C2×D4—24no—
1224C2×D4—24no—
1225C2×D4—22no—
1226C2×D4—432no—
1227C2×D4—44no—
1228C2×D4—42no—
1229C2×D4—42no—
1230C2×D4—44no—
1231C2×D4C22×Q814yes—
1232C2×D4C22×Q8116yes—
1233C2×D4C22×Q818yes—
1234C2×D4C22×Q818yes—
1235C2×D4C22×Q818yes—
1236C2×D4C22×Q8116yes—
1237C2×D4C22×Q814yes—
1238C2×D4C2×#4114yes—
1239C2×D4H(5,𝔽2)14yes—
1240C22×C4—24no—
1241C22×C4—24no—
1242C22×C4—24no—
1243C22×C4—24no—
1244C22×C4—28no—
1245C22×C4—24no—
1246C22×C4—28no—
1247C22×C4—24no—
1248C22×C4—24no—
1249C22×C4—24no—
1250C22×C4—28no—
1251C22×C4—24no—
1252C22×C4—28no—
1253C22×C4—24no—
1254C22×C4—24no—
1255C22×C4—24no—
1256C22×C4—28no—
1257C22×C4—28no—
1258C22×C4—28no—
1259C22×C4—28no—
1260C22×C4—42no—
1261C22×C4—42no—
1262C22×C4—42no—
1263C22×C4—42no—
1264C22×C4—44no—
1265C22×C4—42no—
1266C22×C4—42no—
1267C22×C4—42no—
1268C22×C4—42no—
1269C22×C4—42no—
1270C22×C4—44no—
1271C22×C4—42no—
1272C22×C4—42no—
1273C22×C4—44no—
1274C22×C4—44no—
1275C22×C4—44no—
1276C22×C4—44no—
1277C22×C4—44no—
1278C22×C4—42no—
1279C22×C4—44no—
1280C22×C4—42no—
1281C22×C4—44no—
1282C22×C4—44no—
1283C22×C4—44no—
1284C22×C4—44no—
1285C22×C4—44no—
1286C22×C4—42no—
1287C22×C4—44no—
1288C22×C4—42no—
1289C22×C4—44no—
1290C22×C4—44no—
1291C22×C4—44no—
1292C22×C4—44no—
1293C22×C4—44no—
1294C22×C4—44no—
1295C22×C4—44no—
1296C22×C4—44no—
1297C22×C4—832no—
1298C22×C4C22×Q818yes—
1299C22×C4C22×Q818yes—
1300C22×C4C2×#4118yes—
1301C22×C4C2512yes—
1302C22×C4C2511yescharacteristic
1303C22×C4C2511yescharacteristic
1304C22×C4C2511yescharacteristic
1305C22×C4C2512yes—
1306C22×C4C2512yes—
1307C22×C4C2512yes—
1308C22×C4C2514yes—
1309C22×C4C2511yescharacteristic
1310C22×C4C2511yescharacteristic
1311C22×C4C2511yescharacteristic
1312C22×C4C2511yescharacteristic
1313C22×C4C2512yes—
1314C22×C4C2512yes—
1315C22×C4C2512yes—
1316C22×C4C2514yes—
1317C22×C4C2512yes—
1318C22×C4C2512yes—
1319C22×C4C2512yes—
1320C22×C4C2514yes—
1321C22×C4C2511yescharacteristic
1322C22×C4C2511yescharacteristic
1323C22×C4C2511yescharacteristic
1324C22×C4C2512yes—
1325C22×C4C2512yes—
1326C22×C4C2511yescharacteristic
1327C22×C4C2512yes—
1328C22×C4C2511yescharacteristic
1329C22×C4C2512yes—
1330C22×C4C2511yescharacteristic
1331C22×C4C2511yescharacteristic
1332C22×C4C2511yescharacteristic
1333C4⋊C4—22no—
1334C4⋊C4—24no—
1335C4⋊C4—24no—
1336C4⋊C4—24no—
1337C4⋊C4—24no—
1338C4⋊C4—24no—
1339C4⋊C4—24no—
1340C4⋊C4—22no—
1341C4⋊C4—22no—
1342C4⋊C4—22no—
1343C4⋊C4—22no—
1344C4⋊C4—24no—
1345C4⋊C4—24no—
1346C4⋊C4—28no—
1347C4⋊C4—24no—
1348C4⋊C4—22no—
1349C4⋊C4—24no—
1350C4⋊C4—28no—
1351C4⋊C4—24no—
1352C4⋊C4—24no—
1353C4⋊C4—22no—
1354C4⋊C4—24no—
1355C4⋊C4—24no—
1356C4⋊C4—28no—
1357C4⋊C4—22no—
1358C4⋊C4—24no—
1359C4⋊C4—22no—
1360C4⋊C4—22no—
1361C4⋊C4—24no—
1362C4⋊C4—22no—
1363C4⋊C4—24no—
1364C4⋊C4—22no—
1365C4⋊C4—24no—
1366C4⋊C4—22no—
1367C4⋊C4—22no—
1368C4⋊C4—22no—
1369C4⋊C4—42no—
1370C4⋊C4—42no—
1371C4⋊C4—44no—
1372C4⋊C4—42no—
1373C4⋊C4—42no—
1374C4⋊C4—44no—
1375C4⋊C4—44no—
1376C4⋊C4—44no—
1377C4⋊C4—44no—
1378C4⋊C4—44no—
1379C4⋊C4—44no—
1380C4⋊C4—44no—
1381C4⋊C4—44no—
1382C4⋊C4—44no—
1383C4⋊C4—44no—
1384C4⋊C4—44no—
1385C4⋊C4—44no—
1386C4⋊C4—42no—
1387C4⋊C4—44no—
1388C4⋊C4—44no—
1389C4⋊C4—44no—
1390C4⋊C4—42no—
1391C4⋊C4—42no—
1392C4⋊C4—42no—
1393C4⋊C4—42no—
1394C4⋊C4—42no—
1395C4⋊C4—41no—
1396C4⋊C4—41no—
1397C4⋊C4—41no—
1398C4⋊C4—41no—
1399C4⋊C4—42no—
1400C4⋊C4—42no—
1401C4⋊C4—42no—
1402C4⋊C4—42no—
1403C4⋊C4—42no—
1404C4⋊C4—44no—
1405C4⋊C4—44no—
1406C4⋊C4—44no—
1407C4⋊C4—42no—
1408C4⋊C4—42no—
1409C4⋊C4—42no—
1410C4⋊C4—42no—
1411C4⋊C4—44no—
1412C4⋊C4—44no—
1413C4⋊C4—42no—
1414C4⋊C4—42no—
1415C4⋊C4—44no—
1416C4⋊C4C22×Q814yes—
1417C4⋊C4C22×Q814yes—
1418C4⋊C4C2×#4114yes—
1419C4⋊C4H(5,𝔽2)14yes—
1420C22⋊C4—28no—
1421C22⋊C4—24no—
1422C22⋊C4—24no—
1423C22⋊C4—24no—
1424C22⋊C4—24no—
1425C22⋊C4—28no—
1426C22⋊C4—28no—
1427C22⋊C4—24no—
1428C22⋊C4—28no—
1429C22⋊C4—24no—
1430C22⋊C4—24no—
1431C22⋊C4—28no—
1432C22⋊C4—28no—
1433C22⋊C4—24no—
1434C22⋊C4—28no—
1435C22⋊C4—42no—
1436C22⋊C4—42no—
1437C22⋊C4—44no—
1438C22⋊C4—44no—
1439C22⋊C4—44no—
1440C22⋊C4—44no—
1441C22⋊C4—44no—
1442C22⋊C4—44no—
1443C22⋊C4—44no—
1444C22⋊C4—42no—
1445C22⋊C4—42no—
1446C22⋊C4—44no—
1447C22⋊C4—44no—
1448C22⋊C4—44no—
1449C22⋊C4—44no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4—42no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—42no—
1459C22⋊C4—42no—
1460C22⋊C4—44no—
1461C22⋊C4C22×Q818yes—
1462C22⋊C4C22×Q818yes—
1463C22⋊C4C22×Q8116yes—
1464C22⋊C4C2×#4118yes—
1465C42—28no—
1466C42—24no—
1467C42—22no—
1468C42—22no—
1469C42—22no—
1470C42—22no—
1471C42—22no—
1472C42—24no—
1473C42—24no—
1474C42—24no—
1475C42—22no—
1476C42—24no—
1477C42—22no—
1478C42—22no—
1479C42—22no—
1480C42—24no—
1481C42—22no—
1482C42—22no—
1483C42—22no—
1484C42—42no—
1485C42—42no—
1486C42—42no—
1487C42—42no—
1488C42—42no—
1489C42—42no—
1490C42—42no—
1491C42—42no—
1492C42—44no—
1493C42—41no—
1494C42—41no—
1495C42—41no—
1496C42—41no—
1497C42—41no—
1498C42C22×Q814yes—
1499C42C2×#4114yes—
1500C23—22no—
1501C23—22no—
1502C23—22no—
1503C23—22no—
1504C23—22no—
1505C23—24no—
1506C23—24no—
1507C23—22no—
1508C23—22no—
1509C23—24no—
1510C23—22no—
1511C23—24no—
1512C23—24no—
1513C23—22no—
1514C23—22no—
1515C23—24no—
1516C23—232no—
1517C23—416no—
1518C23—416no—
1519C23—88no—
1520C23—88no—
1521C23—88no—
1522C23—88no—
1523C23C23×Q814yes—
1524C23C23×Q818yes—
1525C23C23×Q814yes—
1526C23C22×#4114yes—
1527C23C2×H(5,𝔽2)14yes—
1528C23C2611yescharacteristic
1529Q8—44no—
1530Q8—84no—
1531Q8—84no—
1532Q8—164no—
1533D4—232no—
1534D4—216no—
1535D4—28no—
1536D4—216no—
1537D4—416no—
1538D4—48no—
1539D4#554116yescomplemented
1540C2×C4—22no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—22no—
1544C2×C4—21no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—21no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—216no—
1557C2×C4—216no—
1558C2×C4—24no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—21no—
1577C2×C4—22no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—22no—
1582C2×C4—21no—
1583C2×C4—22no—
1584C2×C4—24no—
1585C2×C4—22no—
1586C2×C4—24no—
1587C2×C4—22no—
1588C2×C4—24no—
1589C2×C4—22no—
1590C2×C4—24no—
1591C2×C4—22no—
1592C2×C4—21no—
1593C2×C4—22no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—24no—
1606C2×C4—22no—
1607C2×C4—24no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—24no—
1621C2×C4—22no—
1622C2×C4—24no—
1623C2×C4—22no—
1624C2×C4—48no—
1625C2×C4—48no—
1626C2×C4—416no—
1627C2×C4—48no—
1628C2×C4—88no—
1629C2×C4—88no—
1630C2×C4—88no—
1631C2×C4—88no—
1632C2×C4—88no—
1633C2×C4—84no—
1634C2×C4—84no—
1635C2×C4—84no—
1636C2×C4—88no—
1637C2×C4—84no—
1638C2×C4—84no—
1639C2×C4—88no—
1640C2×C4—164no—
1641C2×C4—164no—
1642C2×C4C23×Q812yes—
1643C2×C4C23×Q814yes—
1644C2×C4C23×Q814yes—
1645C2×C4C23×Q812yes—
1646C2×C4C23×Q812yes—
1647C2×C4C22×#4114yes—
1648C2×C4C22×#4112yes—
1649C2×C4C22×#4112yes—
1650C2×C4C22×#4112yes—
1651C2×C4C2×H(5,𝔽2)14yes—
1652C2×C4C2×H(5,𝔽2)12yes—
1653C2×C4C2×H(5,𝔽2)12yes—
1654C2×C4#58512yes—
1655C2×C4#58512yes—
1656C22—24no—
1657C22—24no—
1658C22—24no—
1659C22—24no—
1660C22—24no—
1661C22—24no—
1662C22—28no—
1663C22—24no—
1664C22—24no—
1665C22—28no—
1666C22—24no—
1667C22—28no—
1668C22—44no—
1669C22—42no—
1670C22—42no—
1671C22—44no—
1672C22—44no—
1673C22—42no—
1674C22—42no—
1675C22—44no—
1676C22—832no—
1677C22C2×#55418yes—
1678C22C24×Q811yescharacteristic
1679C22C23×#4111yescharacteristic
1680C22C22×H(5,𝔽2)11yescharacteristic
1681C22C22×H(5,𝔽2)11yescharacteristic
1682C22C2×#58511yescharacteristic
1683C22C2×#58511yescharacteristic
1684C22H(7,𝔽2)11yescharacteristic
1685C4—22no—
1686C4—22no—
1687C4—22no—
1688C4—24no—
1689C4—24no—
1690C4—22no—
1691C4—24no—
1692C4—24no—
1693C4—44no—
1694C4—42no—
1695C4—41no—
1696C4—41no—
1697C4—42no—
1698C4—42no—
1699C4—44no—
1700C4—42no—
1701C4—41no—
1702C4—42no—
1703C4—42no—
1704C4—41no—
1705C4—42no—
1706C4—41no—
1707C4—41no—
1708C4—41no—
1709C4—42no—
1710C4—41no—
1711C4—44no—
1712C4—42no—
1713C4—42no—
1714C4—41no—
1715C4C2×#55414yes—
1716C4#350114yes—
1717C2—28no—
1718C2—48no—
1719C2—44no—
1720C2C22×#55411yescharacteristic
1721C2C2×#350111yescharacteristic
1722C2#6278111yescharacteristic
1723C2#6292011yescharacteristic
1724C2#6298611yescharacteristic
1725C2#6298911yescharacteristic
1726C2#6301211yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×D42C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #59897C2semidirect
2. #59823C2semidirect
3. #59569C2semidirect
4. #59466C2semidirect
5. #59465C2semidirect
6. #59455C2semidirect
7. #59320C2semidirect
8. #59155C2semidirect
9. #45131C2semidirect
10. #44944C2semidirect
11. #43512C2semidirect
12. #43122C2semidirect
13. #39690C2semidirect
14. #39685C2semidirect
15. #39498C2semidirect
16. #39495C2semidirect
17. #38966C2semidirect
18. #38962C2semidirect
19. #36573C2semidirect
20. #36551C2semidirect
21. #36407C2semidirect
22. #36290C2semidirect
23. #36261C2semidirect
24. #36215C2semidirect
25. #36154C2semidirect
26. D4×#125C2semidirect
27. #35836C2semidirect
28. #35776C2semidirect
29. #34893C2semidirect
30. C2×#2454C2semidirect
33. #34248C2semidirect
34. C4×#554C2semidirect
38. C2×#554C22semidirect
40. C22×#125C22semidirect
45. #2859C22semidirect
46. #2859C22semidirect
47. #2859C22semidirect
48. #2857C22semidirect
49. #2857C22semidirect
50. #2851C22semidirect
51. #2851C22semidirect
52. #2848C22semidirect
53. #2807C22semidirect
54. #2807C22semidirect
55. #2804C22semidirect
56. #2790C22semidirect
57. #2788C22semidirect
58. #2788C22semidirect
59. #2788C22semidirect
60. #2784C22semidirect
61. #2784C22semidirect
62. #2780C22semidirect
63. #2780C22semidirect
64. #2780C22semidirect
65. #2768C22semidirect
66. #2768C22semidirect
67. #2748C22semidirect
68. #2748C22semidirect
69. #2732C22semidirect
70. #2732C22semidirect
71. #2720C22semidirect
72. #2704C22semidirect
73. #2692C22semidirect
74. #2629C22semidirect
75. #2628C22semidirect
76. #2626C22semidirect
77. #2626C22semidirect
78. #2589C22semidirect
79. #2589C22semidirect
80. #2589C22semidirect
81. #2587C22semidirect
82. #2587C22semidirect
83. #2584C22semidirect
84. #2584C22semidirect
85. #2584C22semidirect
86. #2583C22semidirect
89. #2580C22semidirect
90. #2580C22semidirect
91. #2580C22semidirect
92. #2579C22semidirect
93. #2579C22semidirect
94. #2579C22semidirect
95. #2574C22semidirect
96. #2571C22semidirect
99. #2566C22semidirect
100. #2566C22semidirect
101. #2564C22semidirect
102. #2564C22semidirect
103. #2564C22semidirect
104. #2563C22semidirect
105. #2563C22semidirect
106. #2556C22semidirect
107. #2556C22semidirect
108. #2552C22semidirect
109. #2552C22semidirect
110. #2552C22semidirect
111. #2552C22semidirect
112. #2552C22semidirect
113. #2551C22semidirect
114. #2550C22semidirect
115. #2550C22semidirect
116. #2549C22semidirect
117. #2549C22semidirect
118. #2542C22semidirect
119. #2538C22semidirect
120. #2538C22semidirect
121. #2538C22semidirect
122. #2522C22semidirect
123. #2522C22semidirect
124. #2509C22semidirect
125. #2509C22semidirect
126. #2509C22semidirect
127. #2508C22semidirect
128. #2507C22semidirect
129. #2507C22semidirect
130. #2506C22semidirect
131. #2506C22semidirect
132. #2505C22semidirect
133. #2505C22semidirect
134. #2497C22semidirect
135. #2487C22semidirect
136. #2487C22semidirect
137. #2473C22semidirect
138. #2473C22semidirect
139. #2473C22semidirect
140. #2473C22semidirect
141. #2465C22semidirect
146. #2454C22semidirect
147. #2454C22semidirect
148. #2454C22semidirect
149. #2454C22semidirect
150. #2454C22semidirect
151. #2454C22semidirect
152. #2454C22semidirect
153. #2454C22semidirect
154. #2454C22semidirect
155. #2454C22semidirect
156. #2454C22semidirect
157. #2454C22semidirect
158. #2454C22semidirect
159. #2454C22semidirect
160. #2454C22semidirect
161. #2454C22semidirect
162. #2454C22semidirect
163. #2454C22semidirect
166. #2452C22semidirect
167. #2452C22semidirect
168. #2450C22semidirect
169. #2450C22semidirect
170. #2450C22semidirect
171. #2450C22semidirect
172. #2449C22semidirect
173. #2449C22semidirect
174. #2449C22semidirect
175. #2449C22semidirect
176. #2442C22semidirect
177. #2442C22semidirect
178. #2442C22semidirect
179. #2442C22semidirect
180. #2442C22semidirect
181. #2442C22semidirect
182. #2441C22semidirect
183. #2441C22semidirect
184. #2441C22semidirect
185. #2440C22semidirect
186. #2440C22semidirect
187. #2439C22semidirect
188. #2437C22semidirect
189. #2437C22semidirect
190. #2437C22semidirect
191. #2437C22semidirect
192. #2437C22semidirect
193. #2437C22semidirect
194. #2417C22semidirect
195. #2417C22semidirect
196. #2417C22semidirect
197. #2396C22semidirect
198. #2396C22semidirect
199. C2×#399C22semidirect
200. C2×#396C22semidirect
201. #2370C22semidirect
202. #2370C22semidirect
203. #2370C22semidirect
204. #2369C22semidirect
205. #2369C22semidirect
206. #2368C22semidirect
207. #2368C22semidirect
217. #2360C22semidirect
221. #2355C22semidirect
228. #2349C22semidirect
229. #2349C22semidirect
230. #2349C22semidirect
231. #2349C22semidirect
232. #2349C22semidirect
233. #2349C22semidirect
234. #2349C22semidirect
243. D4×C4⋊C4C22semidirect
244. D4×C4⋊C4C22semidirect
245. D4×C4⋊C4C22semidirect
246. D4×C4⋊C4C22semidirect
247. D4×C4⋊C4C22semidirect
248. #2345C22semidirect
249. #2345C22semidirect
260. #2317C22semidirect
261. #2317C22semidirect
262. #2315C22semidirect
263. #2315C22semidirect
264. C4×C4⋊Q8C22semidirect
265. C4×C4⋊Q8C22semidirect
269. C4×#125C22semidirect
270. C4×#125C22semidirect
271. C4×#125C22semidirect
272. C4×#125C22semidirect
273. C4×C22⋊Q8C22semidirect
274. C4×C22⋊Q8C22semidirect
275. C4×C22⋊Q8C22semidirect
276. C4×C22⋊Q8C22semidirect
282. #2296C22semidirect
283. #2296C22semidirect
288. C2×#389C22semidirect
289. C2×#389C22semidirect
290. C2×#385C22semidirect
291. C2×#385C22semidirect
292. C2×#380C22semidirect
293. C42×Q8C22semidirect
298. C2×C4×C4⋊C4C22semidirect
305. D42Q8semidirect
1539. D4#554semidirect

Maximal subgroups

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

subgroupindex
#598972
#598232
#595692
#594662
#594652
#594552
#593202
#591552
#451312
#449442
#435122
#431222
#396902
#396852
#394982
#394952
#389662
#389622
#365732
#365512
#364072
#362902
#362612
#362152
#361542
D4×#1252
#358362
#357762
#348932
C2×#24542
#343102
#342482
C4×#5542
C4×D422