Finite Group Databasebeta

← #7631644

Subgroups — #7631644

Order 512.

5430 conjugacy classes of subgroups.

The subgroup lattice has 1710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36480C211yesmaximal, characteristic, complemented
2#36476C211yesmaximal, characteristic, complemented
3#36288C211yesmaximal, characteristic, complemented
4#36277C212yesmaximal, complemented
5#36276C211yesmaximal, characteristic, complemented
6#36194C211yesmaximal, characteristic, complemented
7#36190C212yesmaximal, complemented
8#36154C211yesmaximal, characteristic
9#36130C212yesmaximal, complemented
10#36129C212yesmaximal, complemented
11D4×C4⋊Q8C211yesmaximal, characteristic, complemented
12D4×C22⋊Q8C211yesmaximal, characteristic
13#35962C214yesmaximal, complemented
14#35961C212yesmaximal, complemented
15#35871C212yesmaximal, complemented
16#35819C212yesmaximal, complemented
17#35705C214yesmaximal, complemented
18#35702C212yesmaximal
19#35602C212yesmaximal, complemented
20#35577C212yesmaximal, complemented
21#35402C214yesmaximal, complemented
22#35398C214yesmaximal, complemented
23#35283C211yesmaximal, characteristic, complemented
24#35177C211yesmaximal, characteristic, complemented
25#35016C212yesmaximal, complemented
26#35014C212yesmaximal, complemented
27#34929C211yesmaximal, characteristic, complemented
28#34916C211yesmaximal, characteristic, complemented
29#34772C212yesmaximal, complemented
30C2×#2492C212yesmaximal, complemented
31#34334C211yesmaximal, characteristic, complemented
32#34334C212yesmaximal, complemented
33#34261C212yesmaximal
34C4×#554C211yesmaximal, characteristic, complemented
35C4×#518C211yesmaximal, characteristic
36C2×#554C2211yescharacteristic
37C2×D4×Q8C2212yes—
38C2×D4×Q8C2211yescharacteristic
39C2×#533C2212yescomplemented
40C22×C4⋊Q8C2212yescomplemented
41C22×C22⋊Q8C2212yes—
42C2×#518C2211yescharacteristic
43C2×#518C2211yescharacteristic
44C22×C4×D4C2211yescharacteristic
45#2868C2211yescharacteristic, complemented
46#2863C2212yescomplemented
47#2862C2212yescomplemented
48#2862C2211yescharacteristic, complemented
49#2857C2211yescharacteristic
50#2857C2211yescharacteristic
51#2857C2212yescomplemented
52#2857C2212yescomplemented
53#2857C2212yescomplemented
54#2857C2212yescomplemented
55#2855C2212yescomplemented
56#2855C2212yescomplemented
57#2848C2212yes—
58#2848C2212yes—
59#2666C2214yescomplemented
60#2665C2214yescomplemented
61#2665C2214yescomplemented
62#2647C2212yescomplemented
63#2646C2214yescomplemented
64#2628C2212yes—
65#2626C2214yes—
66#2612C2214yescomplemented
67#2607C2214yescomplemented
68#2607C2214yescomplemented
69#2605C2214yescomplemented
70#2605C2214yescomplemented
71#2590C2212yescomplemented
72#2589C2212yes—
73#2589C2214yes—
74#2589C2214yescomplemented
75#2589C2214yescomplemented
76#2589C2214yescomplemented
77#2588C2212yescomplemented
78#2588C2214yescomplemented
79#2587C2212yes—
80#2587C2214yes—
81#2587C2214yescomplemented
82#2586C2214yescomplemented
83#2580C2212yes—
84#2574C2214yes—
85#2574C2214yes—
86#2574C2214yescomplemented
87#2571C2212yescomplemented
88#2570C2212yescomplemented
89#2569C2214yescomplemented
90#2569C2214yescomplemented
91#2567C2211yescharacteristic, complemented
92#2564C2214yes—
93#2563C2212yes—
94#2563C2211yescharacteristic
95#2556C2214yes—
96#2556C2214yescomplemented
97#2551C2212yescomplemented
98#2551C2211yescharacteristic, complemented
99#2551C2211yescharacteristic, complemented
100#2550C2212yescomplemented
101#2550C2212yescomplemented
102#2550C2214yescomplemented
103#2549C2214yescomplemented
104#2549C2214yescomplemented
105#2549C2214yescomplemented
106#2546C2212yescomplemented
107#2546C2211yescharacteristic, complemented
108#2542C2211yescharacteristic
109#2538C2211yescharacteristic
110#2538C2211yescharacteristic
111#2522C2214yes—
112#2522C2214yescomplemented
113#2520C2214yescomplemented
114#2511C2211yescharacteristic, complemented
115#2511C2212yescomplemented
116#2511C2212yescomplemented
117#2509C2212yescomplemented
118#2509C2212yescomplemented
119#2508C2212yescomplemented
120#2507C2211yescharacteristic, complemented
121#2506C2212yescomplemented
122#2505C2214yescomplemented
123#2505C2214yescomplemented
124#2505C2214yescomplemented
125#2502C2212yescomplemented
126#2497C2211yescharacteristic
127#2497C2212yes—
128#2497C2214yescomplemented
129#2497C2212yescomplemented
130#2492C2212yes—
131#2492C2214yes—
132#2492C2212yes—
133#2492C2211yescharacteristic
134#2492C2212yes—
135#2492C2214yes—
136#2492C2212yes—
137#2492C2214yescomplemented
138#2492C2214yescomplemented
139#2492C2212yescomplemented
140#2492C2212yescomplemented
141#2492C2212yescomplemented
142#2492C2212yescomplemented
143#2492C2212yescomplemented
144#2487C2212yes—
145#2473C2214yescomplemented
146#2465C2214yes—
147#2465C2214yes—
148#2465C2214yescomplemented
149#2454C2212yes—
150#2452C2212yes—
151#2452C2212yes—
152#2452C2212yes—
153#2451C2211yescharacteristic, complemented
154#2451C2212yescomplemented
155#2451C2212yescomplemented
156#2450C2214yes—
157#2450C2214yes—
158#2450C2214yes—
159#2449C2214yes—
160#2446C2214yescomplemented
161#2446C2211yescharacteristic, complemented
162#2442C2212yes—
163#2442C2214yescomplemented
164#2440C2212yes—
165#2440C2212yescomplemented
166#2440C2214yescomplemented
167#2440C2212yescomplemented
168#2439C2212yes—
169#2439C2212yes—
170#2439C2214yescomplemented
171#2439C2214yescomplemented
172#2438C2214yescomplemented
173#2438C2214yescomplemented
174#2437C2214yes—
175#2437C2214yes—
176#2437C2214yes—
177#2437C2214yes—
178#2434C2214yescomplemented
179#2434C2212yescomplemented
180#2429C2211yescharacteristic
181#2429C2212yes—
182#2429C2214yescomplemented
183#2429C2212yescomplemented
184#2423C2212yes—
185#2423C2212yes—
186#2423C2211yescharacteristic
187#2423C2212yescomplemented
188#2417C2212yes—
189#2417C2212yes—
190#2409C2214yes—
191#2409C2212yes—
192#2402C2212yescomplemented
193#2402C2214yescomplemented
194#2396C2212yes—
195#2396C2214yescomplemented
196#2396C2214yescomplemented
197C2×#400C2214yescomplemented
198C2×#393C2214yes—
199#2370C2212yescomplemented
200#2369C2212yescomplemented
201#2369C2212yescomplemented
202#2369C2212yescomplemented
203#2369C2211yescharacteristic, complemented
204#2368C2214yescomplemented
205#2368C2214yescomplemented
206#2368C2214yescomplemented
207#2368C2214yescomplemented
208#2365C2212yescomplemented
209#2365C2211yescharacteristic, complemented
210#2360C2212yescomplemented
211#2360C2214yescomplemented
212#2360C2212yescomplemented
213#2357C2212yes—
214#2355C2211yescharacteristic, complemented
215#2355C2212yescomplemented
216#2355C2211yescharacteristic, complemented
217#2354C2212yes—
218#2353C2214yes—
219#2352C2214yes—
220#2349C2212yes—
221#2349C2212yes—
222#2349C2212yes—
223#2349C2212yes—
224#2349C2212yes—
225D4×C4⋊C4C2211yescharacteristic
226D4×C4⋊C4C2211yescharacteristic
227D4×C4⋊C4C2212yes—
228D4×C4⋊C4C2212yes—
229#2347C2212yes—
230#2346C2212yes—
231#2345C2212yescomplemented
232#2342C2214yes—
233#2342C2214yes—
234Q8×C22⋊C4C2214yescomplemented
235Q8×C22⋊C4C2212yescomplemented
236D4×C22⋊C4C2212yes—
237D4×C22⋊C4C2212yes—
238#2331C2212yescomplemented
239#2331C2212yescomplemented
240#2331C2212yescomplemented
241#2329C2214yescomplemented
242#2329C2214yescomplemented
243#2329C2214yescomplemented
244#2319C2212yes—
245#2318C2214yes—
246#2314C2212yes—
247#2312C2214yes—
248C4×C4⋊Q8C2211yescharacteristic, complemented
249C4×C4⋊Q8C2211yescharacteristic, complemented
250C4×C4⋊Q8C2212yescomplemented
251C4×C4⋊Q8C2212yescomplemented
252C4×C4⋊Q8C2211yescharacteristic, complemented
253C4×C4⋊Q8C2211yescharacteristic, complemented
254C4×#125C2212yescomplemented
255C4×C22⋊Q8C2211yescharacteristic
256C4×C22⋊Q8C2211yescharacteristic
257C4×C22⋊Q8C2214yescomplemented
258C4×C22⋊Q8C2212yescomplemented
259C4×C22⋊Q8C2212yescomplemented
260C4×C22⋊Q8C2214yescomplemented
261C4×C22⋊Q8C2212yescomplemented
262C4×C22⋊Q8C2212yescomplemented
263#2298C2212yes—
264#2295C2212yescomplemented
265#2295C2211yescharacteristic, complemented
266#2295C2212yescomplemented
267C2×#391C2214yescomplemented
268C2×#391C2212yescomplemented
269C2×#391C2212yescomplemented
270#2293C2212yes—
271#2290C2214yes—
272C2×#388C2214yes—
273#2285C2212yescomplemented
274C2×#380C2212yes—
275#2275C2211yescharacteristic
276#2275C2211yescharacteristic
277#2275C2212yes—
278#2275C2211yescharacteristic
279#2275C2212yes—
280#2275C2211yescharacteristic
281#2275C2212yes—
282#2274C2211yescharacteristic
283#2274C2211yescharacteristic
284#2273C2212yes—
285#2273C2212yes—
286C42×Q8C2211yescharacteristic, complemented
287C42×D4C2211yescharacteristic
288C42×D4C2211yescharacteristic
289C42×D4C2212yes—
290C42×D4C2212yes—
291C42×D4C2211yescharacteristic
292C42×D4C2211yescharacteristic
293C42×D4C2212yes—
294C4×#117C2211yescharacteristic
295C4×#117C2211yescharacteristic
296C2×C4×C4⋊C4C2212yescomplemented
297C2×C4×C22⋊C4C2212yes—
298C2×C4×C22⋊C4C2212yes—
299C23×Q8C2312yes—
300C23×Q8C2314yes—
301C23×D4C2311yescharacteristic
302C24×C4C2312yes—
303#554—28no—
304D4×Q8—28no—
305D4×Q8—216no—
306#533—48no—
307C2×C4⋊Q8—48no—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2311yescharacteristic
317C2×C4⋊Q8C2312yes—
318C2×C4⋊Q8C2312yes—
319C2×C4⋊Q8C2312yes—
320C2×C4⋊Q8C2314yes—
321C2×C4⋊Q8C2314yes—
322C2×C4⋊Q8C2312yes—
323C2×#125C2312yes—
324C2×#125C2314yes—
325C2×C22⋊Q8—48no—
326C2×C22⋊Q8C2314yes—
327C2×C22⋊Q8C2314yes—
328C2×C22⋊Q8C2314yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2314yes—
332C2×C22⋊Q8C2314yes—
333C2×C22⋊Q8C2311yescharacteristic
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2311yescharacteristic
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2314yes—
341C2×C22⋊Q8C2314yes—
342C2×C22⋊Q8C2314yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2314yes—
345#518—28no—
346#518Q8116yescomplemented
347C2×C4×Q8C2311yescharacteristic
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2311yescharacteristic
350C2×C4×Q8C2311yescharacteristic
351C2×C4×Q8C2314yes—
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2311yescharacteristic
355C2×C4×Q8C2314yes—
356C2×C4×Q8C2312yes—
357C2×C4×D4—28no—
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2312yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2312yes—
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2312yes—
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2312yes—
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2311yescharacteristic
380C2×#117C2311yescharacteristic
381C2×#117C2311yescharacteristic
382C2×#117C2314yes—
383C2×#117C2314yes—
384C2×#117C2311yescharacteristic
385C2×#117C2311yescharacteristic
386C22×C4⋊C4C2312yes—
387C22×C4⋊C4C2312yes—
388C22×C4⋊C4C2311yescharacteristic
389C22×C4⋊C4C2314yes—
390C22×C4⋊C4C2314yes—
391C22×C4⋊C4C2312yes—
392C22×C22⋊C4C2312yes—
393C22×C22⋊C4C2312yes—
394C22×C22⋊C4C2312yes—
395C22×C22⋊C4C2314yes—
396C22×C22⋊C4C2314yes—
397C22×C22⋊C4C2312yes—
398C22×C22⋊C4C2312yes—
399C22×C42C2311yescharacteristic
400C22×C42C2312yes—
401C22×C42C2312yes—
402C22×C42C2312yes—
403C22×C42C2312yes—
404C22×C42C2314yes—
405#400C2312yes—
406#400C2312yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2312yes—
415#400C2314yes—
416#400C2312yes—
417#400C2312yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2314yes—
422#400C2314yes—
423#399C2314yes—
424#399C2312yes—
425#399C2314yes—
426#399C2314yes—
427#399C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2312yes—
436#398C2312yes—
437#398C2312yes—
438#398C2314yes—
439#398C2312yes—
440#398C2314yes—
441#398C2312yes—
442#398C2312yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2314yes—
449#396C2312yes—
450#396C2312yes—
451#396C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#395C2314yes—
457#395C2314yes—
458#395C2314yes—
459#395C2314yes—
460#395C2314yes—
461#395C2314yes—
462#395C2314yes—
463#395C2312yes—
464#395C2314yes—
465#395C2314yes—
466#393C2314yes—
467#393C2314yes—
468#393C2314yes—
469#393C2314yes—
470#393C2314yes—
471#393C2314yes—
472#393C2314yes—
473#393C2312yes—
474#393C2314yes—
475#393C2314yes—
476#393C2314yes—
477#391C2312yes—
478#391C2311yescharacteristic
479#391C2314yes—
480#391C2312yes—
481#391C2312yes—
482#391C2311yescharacteristic
483#391C2314yes—
484#391C2312yes—
485#391C2314yes—
486#391C2314yes—
487#391C2314yes—
488#391C2314yes—
489#391C2314yes—
490#391C2314yes—
491#391C2314yes—
492#391C2314yes—
493#391C2314yes—
494#391C2314yes—
495#391C2314yes—
496#391C2312yes—
497#391C2314yes—
498#391C2312yes—
499#391C2312yes—
500#391C2314yes—
501#391C2311yescharacteristic
502#391C2312yes—
503#391C2314yes—
504#391C2312yes—
505#391C2312yes—
506#391C2312yes—
507#391C2312yes—
508#391C2312yes—
509#391C2312yes—
510#391C2314yes—
511#391C2314yes—
512#391C2314yes—
513#391C2311yescharacteristic
514#391C2312yes—
515#391C2311yescharacteristic
516#391C2314yes—
517#391C2314yes—
518#391C2311yescharacteristic
519#391C2312yes—
520#390C2312yes—
521#390C2312yes—
522#390C2312yes—
523#390C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2311yescharacteristic
527#389C2312yes—
528#389C2314yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2311yescharacteristic
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2311yescharacteristic
540#389C2314yes—
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2314yes—
545#389C2312yes—
546#389C2312yes—
547#389C2314yes—
548#389C2314yes—
549#389C2314yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2314yes—
554#389C2314yes—
555#389C2312yes—
556#389C2314yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2311yescharacteristic
562#389C2312yes—
563#389C2314yes—
564#389C2312yes—
565#389C2312yes—
566#389C2314yes—
567#389C2311yescharacteristic
568#389C2311yescharacteristic
569#388C2312yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2312yes—
580#388C2314yes—
581#388C2312yes—
582#388C2312yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#387C2314yes—
588#387C2314yes—
589#387C2314yes—
590#387C2314yes—
591#387C2312yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2312yes—
603#387C2314yes—
604#387C2314yes—
605#387C2312yes—
606#387C2314yes—
607#387C2312yes—
608#387C2312yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2312yes—
619#387C2312yes—
620#387C2312yes—
621#387C2312yes—
622#387C2312yes—
623#387C2312yes—
624#387C2314yes—
625#387C2312yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#385C2314yes—
631#385C2314yes—
632#385C2314yes—
633#385C2314yes—
634#385C2314yes—
635#385C2314yes—
636#385C2314yes—
637#385C2314yes—
638#385C2312yes—
639#385C2314yes—
640#385C2314yes—
641#385C2314yes—
642#385C2314yes—
643#385C2314yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2312yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#384C2312yes—
657#384C2312yes—
658#384C2311yescharacteristic
659#384C2311yescharacteristic
660#384C2311yescharacteristic
661#384C2311yescharacteristic
662#384C2312yes—
663#384C2312yes—
664#384C2312yes—
665#383C2314yes—
666#382C2312yes—
667#382C2312yes—
668#382C2312yes—
669#382C2312yes—
670#382C2314yes—
671#382C2314yes—
672#382C2314yes—
673#382C2312yes—
674#381C2314yes—
675#381C2314yes—
676#380C2314yes—
677#380C2314yes—
678#380C2312yes—
679#380C2312yes—
680#380C2314yes—
681#380C2314yes—
682#380C2314yes—
683#380C2314yes—
684#380C2314yes—
685#380C2314yes—
686#380C2312yes—
687#380C2312yes—
688#380C2314yes—
689#380C2312yes—
690#380C2314yes—
691#380C2314yes—
692#380C2314yes—
693#380C2311yescharacteristic
694#380C2312yes—
695#380C2312yes—
696#380C2312yes—
697#380C2312yes—
698#380C2314yes—
699#380C2312yes—
700#380C2311yescharacteristic
701#379C2314yes—
702#379C2314yes—
703C4×C4⋊C4C2311yescharacteristic
704C4×C4⋊C4C2312yes—
705C4×C4⋊C4C2314yes—
706C4×C4⋊C4C2314yes—
707C4×C4⋊C4C2312yes—
708C4×C4⋊C4C2311yescharacteristic
709C4×C4⋊C4C2311yescharacteristic
710C4×C4⋊C4C2312yes—
711C4×C4⋊C4C2312yes—
712C4×C4⋊C4C2312yes—
713C4×C4⋊C4C2314yes—
714C4×C4⋊C4C2314yes—
715C4×C4⋊C4C2311yescharacteristic
716C4×C4⋊C4C2312yes—
717C4×C4⋊C4C2312yes—
718C4×C4⋊C4C2312yes—
719C4×C4⋊C4C2312yes—
720C4×C4⋊C4C2311yescharacteristic
721C4×C4⋊C4C2311yescharacteristic
722C4×C4⋊C4C2314yes—
723C4×C4⋊C4C2312yes—
724C4×C4⋊C4C2312yes—
725C4×C4⋊C4C2314yes—
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2311yescharacteristic
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2314yes—
730C4×C4⋊C4C2311yescharacteristic
731C4×C4⋊C4C2311yescharacteristic
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2314yes—
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2311yescharacteristic
756C4×C22⋊C4C2314yes—
757C4×C22⋊C4C2314yes—
758C4×C22⋊C4C2312yes—
759C4×C22⋊C4C2314yes—
760C4×C22⋊C4C2312yes—
761C4×C22⋊C4C2312yes—
762C4×C22⋊C4C2312yes—
763C4×C22⋊C4C2312yes—
764C4×C22⋊C4C2312yes—
765C4×C22⋊C4C2311yescharacteristic
766C4×C22⋊C4C2312yes—
767C4×C22⋊C4C2312yes—
768C4×C22⋊C4C2312yes—
769C4×C22⋊C4C2311yescharacteristic
770C4×C22⋊C4C2312yes—
771C4×C22⋊C4C2312yes—
772C4×C22⋊C4C2312yes—
773C4×C22⋊C4C2312yes—
774C4×C22⋊C4C2312yes—
775C4×C22⋊C4C2312yes—
776C4×C22⋊C4C2314yes—
777C4×C22⋊C4C2314yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2311yescharacteristic
789C4×C22⋊C4C2311yescharacteristic
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800#376C2312yes—
801#376C2311yescharacteristic
802#376C2314yes—
803#376C2312yes—
804#376C2311yescharacteristic
805C2×#95C2314yes—
806C2×#95C2312yes—
807C2×#95C2314yes—
808C2×#95C2314yes—
809C2×#95C2312yes—
810C2×#95C2314yes—
811C2×#95C2314yes—
812C2×#95C2314yes—
813C2×#95C2312yes—
814C2×#95C2312yes—
815C43C2312yes—
816C43C2311yescharacteristic
817C43C2311yescharacteristic
818C43C2312yes—
819C25C2412yes—
820C22×Q8—216no—
821C22×Q8—28no—
822C22×Q8—44no—
823C22×Q8—48no—
824C22×Q8—44no—
825C22×Q8—84no—
826C22×Q8C2411yescharacteristic
827C22×Q8C2412yes—
828C22×Q8C2411yescharacteristic
829C22×Q8C2414yes—
830C22×Q8C2412yes—
831C22×Q8C2412yes—
832C22×Q8C2414yes—
833C22×Q8C2414yes—
834C22×Q8C2414yes—
835C22×D4—24no—
836C22×D4—24no—
837C22×D4C2×Q818yes—
838C22×D4C2412yes—
839C22×D4C2411yescharacteristic
840C22×D4C2411yescharacteristic
841C23×C4—28no—
842C23×C4—44no—
843C23×C4—44no—
844C23×C4C2412yes—
845C23×C4C2411yescharacteristic
846C23×C4C2414yes—
847C23×C4C2411yescharacteristic
848C23×C4C2412yes—
849C23×C4C2411yescharacteristic
850C23×C4C2414yes—
851C23×C4C2414yes—
852C23×C4C2414yes—
853C23×C4C2412yes—
854C23×C4C2412yes—
855C23×C4C2412yes—
856C23×C4C2412yes—
857C23×C4C2412yes—
858C23×C4C2412yes—
859C23×C4C2412yes—
860C23×C4C2412yes—
861C23×C4C2412yes—
862C23×C4C2412yes—
863C23×C4C2412yes—
864C4⋊Q8—28no—
865C4⋊Q8—28no—
866C4⋊Q8—28no—
867C4⋊Q8—24no—
868C4⋊Q8—28no—
869C4⋊Q8—24no—
870C4⋊Q8—28no—
871C4⋊Q8—24no—
872C4⋊Q8—44no—
873C4⋊Q8—44no—
874C4⋊Q8—42no—
875C4⋊Q8—44no—
876C4⋊Q8—48no—
877C4⋊Q8—48no—
878C4⋊Q8—82no—
879#125—28no—
880#125—48no—
881C22⋊Q8—28no—
882C22⋊Q8—216no—
883C22⋊Q8—28no—
884C22⋊Q8—24no—
885C22⋊Q8—28no—
886C22⋊Q8—216no—
887C22⋊Q8—216no—
888C22⋊Q8—216no—
889C22⋊Q8—216no—
890C22⋊Q8—48no—
891C22⋊Q8—48no—
892C22⋊Q8—48no—
893C22⋊Q8—44no—
894C22⋊Q8—44no—
895C22⋊Q8—42no—
896C22⋊Q8—44no—
897C22⋊Q8—44no—
898C22⋊Q8—82no—
899C22⋊Q8—84no—
900C4×Q8—24no—
901C4×Q8—24no—
902C4×Q8—28no—
903C4×Q8—24no—
904C4×Q8—44no—
905C4×Q8—42no—
906C4×Q8—44no—
907C4×Q8—48no—
908C4×Q8—82no—
909C4×Q8—84no—
910C4×D4—24no—
911C4×D4—24no—
912C4×D4—28no—
913C4×D4—28no—
914C4×D4—28no—
915C4×D4—28no—
916C4×D4—28no—
917C4×D4—28no—
918C4×D4—24no—
919C4×D4—24no—
920C4×D4—28no—
921C4×D4—28no—
922C4×D4—24no—
923C4×D4—24no—
924C4×D4C2×Q818yes—
925C4×D4C2×Q818yes—
926C4×D4C2×Q818yescomplemented
927C4×D4C2×Q818yescomplemented
928C4×D4C2×Q8116yescomplemented
929C4×D4C2×Q8116yescomplemented
930C4×D4#4118yes—
931C4×D4#4118yes—
932#117—24no—
933#117—24no—
934#117—48no—
935#117—84no—
936#117C2×Q818yescomplemented
937#117C2×Q818yescomplemented
938C2×C4⋊C4—28no—
939C2×C4⋊C4—24no—
940C2×C4⋊C4—28no—
941C2×C4⋊C4—48no—
942C2×C4⋊C4—48no—
943C2×C4⋊C4—44no—
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C22⋊C4—28no—
1017C2×C22⋊C4—28no—
1018C2×C22⋊C4—28no—
1019C2×C22⋊C4—48no—
1020C2×C22⋊C4—84no—
1021C2×C22⋊C4C2×Q8116yescomplemented
1022C2×C22⋊C4C2×Q8116yescomplemented
1023C2×C22⋊C4C2411yescharacteristic
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2411yescharacteristic
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2411yescharacteristic
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2411yescharacteristic
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C42—24no—
1060C2×C42—44no—
1061C2×C42—44no—
1062C2×C42—44no—
1063C2×C42—44no—
1064C2×C42—84no—
1065C2×C42C2412yes—
1066C2×C42C2411yescharacteristic
1067C2×C42C2412yes—
1068C2×C42C2411yescharacteristic
1069C2×C42C2411yescharacteristic
1070C2×C42C2411yescharacteristic
1071C2×C42C2412yes—
1072C2×C42C2412yes—
1073C2×C42C2412yes—
1074C2×C42C2412yes—
1075C2×C42C2411yescharacteristic
1076C2×C42C2412yes—
1077C2×C42C2411yescharacteristic
1078C2×C42C2412yes—
1079C2×C42C2411yescharacteristic
1080C2×C42C2411yescharacteristic
1081C2×C42C2414yes—
1082C2×C42C2414yes—
1083C2×C42C2414yes—
1084C2×C42C2411yescharacteristic
1085C2×C42C2412yes—
1086C2×C42C2412yes—
1087C2×C42C2412yes—
1088C2×C42C2414yes—
1089C2×C42C2414yes—
1090C2×C42C2414yes—
1091C2×C42C2412yes—
1092C2×C42C2411yescharacteristic
1093C2×C42C2412yes—
1094C2×C42C2412yes—
1095C2×C42C2411yescharacteristic
1096C2×C42C2412yes—
1097C2×C42C2411yescharacteristic
1098C2×C42C2412yes—
1099C2×C42C2412yes—
1100C2×C42C2412yes—
1101C2×C42C2412yes—
1102C2×C42C2412yes—
1103C2×C42C2412yes—
1104C2×C42C2411yescharacteristic
1105C2×C42C2412yes—
1106C2×C42C2411yescharacteristic
1107C2×C42C2411yescharacteristic
1108C2×C42C2411yescharacteristic
1109#95C2411yescharacteristic
1110#95C2412yes—
1111#95C2411yescharacteristic
1112#95C2411yescharacteristic
1113#95C2412yes—
1114#95C2411yescharacteristic
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2414yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2412yes—
1148#95C2411yescharacteristic
1149#95C2412yes—
1150#95C2411yescharacteristic
1151#95C2412yes—
1152#95C2411yescharacteristic
1153#95C2411yescharacteristic
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2412yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2412yes—
1184#95C2414yes—
1185#95C2412yes—
1186#95C2412yes—
1187C24—24no—
1188C24—24no—
1189C24—42no—
1190C24—42no—
1191C24—42no—
1192C24—42no—
1193C24C22×Q818yes—
1194C24C2511yescharacteristic
1195C24C2512yes—
1196C24C2512yes—
1197C2×Q8—22no—
1198C2×Q8—24no—
1199C2×Q8—22no—
1200C2×Q8—28no—
1201C2×Q8—24no—
1202C2×Q8—24no—
1203C2×Q8—28no—
1204C2×Q8—28no—
1205C2×Q8—28no—
1206C2×Q8—22no—
1207C2×Q8—24no—
1208C2×Q8—28no—
1209C2×Q8—22no—
1210C2×Q8—24no—
1211C2×Q8—22no—
1212C2×Q8—24no—
1213C2×Q8—22no—
1214C2×Q8—44no—
1215C2×Q8—42no—
1216C2×Q8—42no—
1217C2×Q8—44no—
1218C2×Q8—44no—
1219C2×Q8—44no—
1220C2×Q8—44no—
1221C2×Q8—44no—
1222C2×Q8—44no—
1223C2×Q8—42no—
1224C2×Q8—816no—
1225C2×Q8—832no—
1226C2×D4—24no—
1227C2×D4—24no—
1228C2×D4—232no—
1229C2×D4—22no—
1230C2×D4—22no—
1231C2×D4C22×Q818yes—
1232C2×D4C22×Q814yes—
1233C2×D4C22×Q814yes—
1234C2×D4C2×#4114yes—
1235C2×D4C2×#4114yes—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—24no—
1239C22×C4—24no—
1240C22×C4—28no—
1241C22×C4—24no—
1242C22×C4—28no—
1243C22×C4—24no—
1244C22×C4—28no—
1245C22×C4—28no—
1246C22×C4—22no—
1247C22×C4—24no—
1248C22×C4—24no—
1249C22×C4—28no—
1250C22×C4—22no—
1251C22×C4—24no—
1252C22×C4—22no—
1253C22×C4—22no—
1254C22×C4—24no—
1255C22×C4—24no—
1256C22×C4—24no—
1257C22×C4—24no—
1258C22×C4—42no—
1259C22×C4—42no—
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—42no—
1271C22×C4—42no—
1272C22×C4—44no—
1273C22×C4—44no—
1274C22×C4—44no—
1275C22×C4—42no—
1276C22×C4—44no—
1277C22×C4—42no—
1278C22×C4—42no—
1279C22×C4—41no—
1280C22×C4—42no—
1281C22×C4—42no—
1282C22×C4—42no—
1283C22×C4—42no—
1284C22×C4—41no—
1285C22×C4—42no—
1286C22×C4—42no—
1287C22×C4—44no—
1288C22×C4—44no—
1289C22×C4—816no—
1290C22×C4C22×Q814yes—
1291C22×C4C22×Q818yes—
1292C22×C4C22×Q818yes—
1293C22×C4C22×Q818yes—
1294C22×C4C22×Q818yes—
1295C22×C4C2×#4118yes—
1296C22×C4C2×#4118yes—
1297C22×C4C2511yescharacteristic
1298C22×C4C2512yes—
1299C22×C4C2511yescharacteristic
1300C22×C4C2512yes—
1301C22×C4C2512yes—
1302C22×C4C2514yes—
1303C22×C4C2512yes—
1304C22×C4C2511yescharacteristic
1305C22×C4C2512yes—
1306C22×C4C2512yes—
1307C22×C4C2512yes—
1308C22×C4C2514yes—
1309C22×C4C2512yes—
1310C22×C4C2514yes—
1311C22×C4C2514yes—
1312C22×C4C2511yescharacteristic
1313C22×C4C2512yes—
1314C22×C4C2511yescharacteristic
1315C22×C4C2511yescharacteristic
1316C22×C4C2512yes—
1317C22×C4C2511yescharacteristic
1318C22×C4C2511yescharacteristic
1319C22×C4C2512yes—
1320C22×C4C2511yescharacteristic
1321C22×C4C2511yescharacteristic
1322C22×C4C2511yescharacteristic
1323C22×C4C2511yescharacteristic
1324C22×C4C2512yes—
1325C22×C4C2512yes—
1326C22×C4C2512yes—
1327C22×C4C2511yescharacteristic
1328C22×C4C2511yescharacteristic
1329C4⋊C4—22no—
1330C4⋊C4—24no—
1331C4⋊C4—22no—
1332C4⋊C4—28no—
1333C4⋊C4—24no—
1334C4⋊C4—22no—
1335C4⋊C4—22no—
1336C4⋊C4—22no—
1337C4⋊C4—24no—
1338C4⋊C4—24no—
1339C4⋊C4—24no—
1340C4⋊C4—24no—
1341C4⋊C4—24no—
1342C4⋊C4—24no—
1343C4⋊C4—22no—
1344C4⋊C4—24no—
1345C4⋊C4—24no—
1346C4⋊C4—24no—
1347C4⋊C4—28no—
1348C4⋊C4—28no—
1349C4⋊C4—28no—
1350C4⋊C4—28no—
1351C4⋊C4—24no—
1352C4⋊C4—28no—
1353C4⋊C4—28no—
1354C4⋊C4—24no—
1355C4⋊C4—24no—
1356C4⋊C4—24no—
1357C4⋊C4—22no—
1358C4⋊C4—28no—
1359C4⋊C4—28no—
1360C4⋊C4—24no—
1361C4⋊C4—24no—
1362C4⋊C4—22no—
1363C4⋊C4—22no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4—44no—
1368C4⋊C4—44no—
1369C4⋊C4—42no—
1370C4⋊C4—42no—
1371C4⋊C4—44no—
1372C4⋊C4—42no—
1373C4⋊C4—44no—
1374C4⋊C4—42no—
1375C4⋊C4—44no—
1376C4⋊C4—42no—
1377C4⋊C4—44no—
1378C4⋊C4—44no—
1379C4⋊C4—42no—
1380C4⋊C4—44no—
1381C4⋊C4—44no—
1382C4⋊C4—44no—
1383C4⋊C4—42no—
1384C4⋊C4—44no—
1385C4⋊C4—44no—
1386C4⋊C4—44no—
1387C4⋊C4—42no—
1388C4⋊C4—42no—
1389C4⋊C4—44no—
1390C4⋊C4—42no—
1391C4⋊C4—42no—
1392C4⋊C4—42no—
1393C4⋊C4—42no—
1394C4⋊C4C22×Q814yes—
1395C4⋊C4C22×Q814yes—
1396C4⋊C4C22×Q814yes—
1397C4⋊C4C22×Q814yes—
1398C4⋊C4C2×#4114yes—
1399C4⋊C4C2×#4114yes—
1400C4⋊C4H(5,𝔽2)14yes—
1401C22⋊C4—24no—
1402C22⋊C4—24no—
1403C22⋊C4—28no—
1404C22⋊C4—28no—
1405C22⋊C4—28no—
1406C22⋊C4—28no—
1407C22⋊C4—24no—
1408C22⋊C4—22no—
1409C22⋊C4—22no—
1410C22⋊C4—24no—
1411C22⋊C4—24no—
1412C22⋊C4—24no—
1413C22⋊C4—24no—
1414C22⋊C4—24no—
1415C22⋊C4—28no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—42no—
1419C22⋊C4—44no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—42no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4—44no—
1426C22⋊C4—42no—
1427C22⋊C4—44no—
1428C22⋊C4C22×Q814yes—
1429C22⋊C4C22×Q814yes—
1430C22⋊C4C22×Q818yes—
1431C22⋊C4C22×Q818yes—
1432C22⋊C4C22×Q818yes—
1433C22⋊C4C22×Q818yes—
1434C22⋊C4C22×Q818yes—
1435C22⋊C4C2×#4118yes—
1436C22⋊C4C2×#4118yes—
1437C42—22no—
1438C42—22no—
1439C42—22no—
1440C42—24no—
1441C42—22no—
1442C42—24no—
1443C42—24no—
1444C42—24no—
1445C42—24no—
1446C42—22no—
1447C42—24no—
1448C42—22no—
1449C42—24no—
1450C42—22no—
1451C42—24no—
1452C42—22no—
1453C42—42no—
1454C42—42no—
1455C42—42no—
1456C42—42no—
1457C42—42no—
1458C42—42no—
1459C42—42no—
1460C42—42no—
1461C42—42no—
1462C42—44no—
1463C42—44no—
1464C42—44no—
1465C42—41no—
1466C42—42no—
1467C42—41no—
1468C42—42no—
1469C42—44no—
1470C42—44no—
1471C42—44no—
1472C42—42no—
1473C42—41no—
1474C42—42no—
1475C42—41no—
1476C42C22×Q814yes—
1477C42C22×Q814yes—
1478C42C22×Q818yes—
1479C42C2×#4114yes—
1480C42C2×#4114yes—
1481C23—22no—
1482C23—22no—
1483C23—22no—
1484C23—22no—
1485C23—21no—
1486C23—22no—
1487C23—22no—
1488C23—21no—
1489C23—22no—
1490C23—21no—
1491C23—22no—
1492C23—21no—
1493C23—22no—
1494C23—21no—
1495C23—22no—
1496C23—21no—
1497C23—216no—
1498C23—48no—
1499C23—48no—
1500C23—84no—
1501C23—84no—
1502C23—84no—
1503C23—84no—
1504C23C23×Q812yes—
1505C23C23×Q814yes—
1506C23C23×Q814yes—
1507C23C22×#4114yes—
1508C23C22×#4114yes—
1509C23C2611yescharacteristic
1510Q8—416no—
1511Q8—48no—
1512Q8—44no—
1513Q8—48no—
1514Q8—44no—
1515Q8—84no—
1516Q8—88no—
1517Q8—88no—
1518Q8—88no—
1519D4—216no—
1520D4—28no—
1521D4#533116yescomplemented
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—22no—
1525C2×C4—21no—
1526C2×C4—22no—
1527C2×C4—21no—
1528C2×C4—22no—
1529C2×C4—21no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—22no—
1536C2×C4—21no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—22no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—22no—
1547C2×C4—21no—
1548C2×C4—28no—
1549C2×C4—216no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—22no—
1554C2×C4—21no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—24no—
1564C2×C4—24no—
1565C2×C4—24no—
1566C2×C4—24no—
1567C2×C4—21no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—24no—
1571C2×C4—24no—
1572C2×C4—22no—
1573C2×C4—24no—
1574C2×C4—21no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—21no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—24no—
1583C2×C4—21no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—24no—
1588C2×C4—24no—
1589C2×C4—21no—
1590C2×C4—24no—
1591C2×C4—21no—
1592C2×C4—22no—
1593C2×C4—21no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—21no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—24no—
1601C2×C4—48no—
1602C2×C4—48no—
1603C2×C4—48no—
1604C2×C4—48no—
1605C2×C4—48no—
1606C2×C4—416no—
1607C2×C4—48no—
1608C2×C4—44no—
1609C2×C4—84no—
1610C2×C4—84no—
1611C2×C4—82no—
1612C2×C4—84no—
1613C2×C4—84no—
1614C2×C4—84no—
1615C2×C4—88no—
1616C2×C4—84no—
1617C2×C4—88no—
1618C2×C4—88no—
1619C2×C4C23×Q812yes—
1620C2×C4C23×Q812yes—
1621C2×C4C23×Q812yes—
1622C2×C4C23×Q814yes—
1623C2×C4C23×Q812yes—
1624C2×C4C23×Q812yes—
1625C2×C4C23×Q814yes—
1626C2×C4C23×Q812yes—
1627C2×C4C22×#4112yes—
1628C2×C4C22×#4114yes—
1629C2×C4C22×#4112yes—
1630C2×C4C22×#4112yes—
1631C2×C4C22×#4114yes—
1632C2×C4C22×#4112yes—
1633C2×C4C22×#4112yes—
1634C2×C4C22×#4112yes—
1635C2×C4C2×H(5,𝔽2)14yes—
1636C2×C4C2×H(5,𝔽2)12yes—
1637C2×C4#58512yes—
1638C22—24no—
1639C22—24no—
1640C22—24no—
1641C22—24no—
1642C22—24no—
1643C22—24no—
1644C22—24no—
1645C22—22no—
1646C22—24no—
1647C22—22no—
1648C22—22no—
1649C22—24no—
1650C22—42no—
1651C22—41no—
1652C22—42no—
1653C22—41no—
1654C22—41no—
1655C22—42no—
1656C22—41no—
1657C22—42no—
1658C22—816no—
1659C22C2×#53318yes—
1660C22C24×Q811yescharacteristic
1661C22C23×#4111yescharacteristic
1662C22C23×#4111yescharacteristic
1663C22C22×H(5,𝔽2)11yescharacteristic
1664C22C2×#58511yescharacteristic
1665C22H(7,𝔽2)11yescharacteristic
1666C222−1+611yescharacteristic
1667C4—22no—
1668C4—24no—
1669C4—22no—
1670C4—22no—
1671C4—24no—
1672C4—24no—
1673C4—22no—
1674C4—24no—
1675C4—22no—
1676C4—22no—
1677C4—24no—
1678C4—22no—
1679C4—22no—
1680C4—44no—
1681C4—41no—
1682C4—42no—
1683C4—44no—
1684C4—42no—
1685C4—42no—
1686C4—42no—
1687C4—41no—
1688C4—42no—
1689C4—41no—
1690C4—42no—
1691C4—44no—
1692C4—42no—
1693C4—42no—
1694C4—41no—
1695C4—42no—
1696C4—44no—
1697C4C2×#53314yes—
1698C4#351414yes—
1699C2—28no—
1700C2—44no—
1701C2—42no—
1702C2C22×#53311yescharacteristic
1703C2C2×#351411yescharacteristic
1704C2#6285711yescharacteristic
1705C2Q8×H(5,𝔽2)11yescharacteristic
1706C2#6298311yescharacteristic
1707C2#6298911yescharacteristic
1708C2#6299511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC23×D4C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #36480C2semidirect
2. #36476C2semidirect
3. #36288C2semidirect
4. #36277C2semidirect
5. #36276C2semidirect
6. #36194C2semidirect
7. #36190C2semidirect
9. #36130C2semidirect
10. #36129C2semidirect
11. D4×C4⋊Q8C2semidirect
13. #35962C2semidirect
14. #35961C2semidirect
15. #35871C2semidirect
16. #35819C2semidirect
17. #35705C2semidirect
19. #35602C2semidirect
20. #35577C2semidirect
21. #35402C2semidirect
22. #35398C2semidirect
23. #35283C2semidirect
24. #35177C2semidirect
25. #35016C2semidirect
26. #35014C2semidirect
27. #34929C2semidirect
28. #34916C2semidirect
29. #34772C2semidirect
30. C2×#2492C2semidirect
31. #34334C2semidirect
32. #34334C2semidirect
34. C4×#554C2semidirect
39. C2×#533C22semidirect
40. C22×C4⋊Q8C22semidirect
45. #2868C22semidirect
46. #2863C22semidirect
47. #2862C22semidirect
48. #2862C22semidirect
51. #2857C22semidirect
52. #2857C22semidirect
53. #2857C22semidirect
54. #2857C22semidirect
55. #2855C22semidirect
56. #2855C22semidirect
59. #2666C22semidirect
60. #2665C22semidirect
61. #2665C22semidirect
62. #2647C22semidirect
63. #2646C22semidirect
66. #2612C22semidirect
67. #2607C22semidirect
68. #2607C22semidirect
69. #2605C22semidirect
70. #2605C22semidirect
71. #2590C22semidirect
74. #2589C22semidirect
75. #2589C22semidirect
76. #2589C22semidirect
77. #2588C22semidirect
78. #2588C22semidirect
81. #2587C22semidirect
82. #2586C22semidirect
86. #2574C22semidirect
87. #2571C22semidirect
88. #2570C22semidirect
89. #2569C22semidirect
90. #2569C22semidirect
91. #2567C22semidirect
96. #2556C22semidirect
97. #2551C22semidirect
98. #2551C22semidirect
99. #2551C22semidirect
100. #2550C22semidirect
101. #2550C22semidirect
102. #2550C22semidirect
103. #2549C22semidirect
104. #2549C22semidirect
105. #2549C22semidirect
106. #2546C22semidirect
107. #2546C22semidirect
112. #2522C22semidirect
113. #2520C22semidirect
114. #2511C22semidirect
115. #2511C22semidirect
116. #2511C22semidirect
117. #2509C22semidirect
118. #2509C22semidirect
119. #2508C22semidirect
120. #2507C22semidirect
121. #2506C22semidirect
122. #2505C22semidirect
123. #2505C22semidirect
124. #2505C22semidirect
125. #2502C22semidirect
128. #2497C22semidirect
129. #2497C22semidirect
137. #2492C22semidirect
138. #2492C22semidirect
139. #2492C22semidirect
140. #2492C22semidirect
141. #2492C22semidirect
142. #2492C22semidirect
143. #2492C22semidirect
145. #2473C22semidirect
148. #2465C22semidirect
153. #2451C22semidirect
154. #2451C22semidirect
155. #2451C22semidirect
160. #2446C22semidirect
161. #2446C22semidirect
163. #2442C22semidirect
165. #2440C22semidirect
166. #2440C22semidirect
167. #2440C22semidirect
170. #2439C22semidirect
171. #2439C22semidirect
172. #2438C22semidirect
173. #2438C22semidirect
178. #2434C22semidirect
179. #2434C22semidirect
182. #2429C22semidirect
183. #2429C22semidirect
187. #2423C22semidirect
192. #2402C22semidirect
193. #2402C22semidirect
195. #2396C22semidirect
196. #2396C22semidirect
197. C2×#400C22semidirect
199. #2370C22semidirect
200. #2369C22semidirect
201. #2369C22semidirect
202. #2369C22semidirect
203. #2369C22semidirect
204. #2368C22semidirect
205. #2368C22semidirect
206. #2368C22semidirect
207. #2368C22semidirect
208. #2365C22semidirect
209. #2365C22semidirect
210. #2360C22semidirect
211. #2360C22semidirect
212. #2360C22semidirect
214. #2355C22semidirect
215. #2355C22semidirect
216. #2355C22semidirect
231. #2345C22semidirect
234. Q8×C22⋊C4C22semidirect
235. Q8×C22⋊C4C22semidirect
238. #2331C22semidirect
239. #2331C22semidirect
240. #2331C22semidirect
241. #2329C22semidirect
242. #2329C22semidirect
243. #2329C22semidirect
248. C4×C4⋊Q8C22semidirect
249. C4×C4⋊Q8C22semidirect
250. C4×C4⋊Q8C22semidirect
251. C4×C4⋊Q8C22semidirect
252. C4×C4⋊Q8C22semidirect
253. C4×C4⋊Q8C22semidirect
254. C4×#125C22semidirect
257. C4×C22⋊Q8C22semidirect
258. C4×C22⋊Q8C22semidirect
259. C4×C22⋊Q8C22semidirect
260. C4×C22⋊Q8C22semidirect
261. C4×C22⋊Q8C22semidirect
262. C4×C22⋊Q8C22semidirect
264. #2295C22semidirect
265. #2295C22semidirect
266. #2295C22semidirect
267. C2×#391C22semidirect
268. C2×#391C22semidirect
269. C2×#391C22semidirect
273. #2285C22semidirect
286. C42×Q8C22semidirect
296. C2×C4×C4⋊C4C22semidirect
346. #518Q8semidirect
926. C4×D4C2×Q8semidirect
927. C4×D4C2×Q8semidirect
928. C4×D4C2×Q8semidirect
929. C4×D4C2×Q8semidirect
936. #117C2×Q8semidirect
937. #117C2×Q8semidirect
1021. C2×C22⋊C4C2×Q8semidirect
1022. C2×C22⋊C4C2×Q8semidirect
1521. D4#533semidirect

Maximal subgroups

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

subgroupindex
#364802
#364762
#362882
#362772
#362762
#361942
#361902
#361542
#361302
#361292
D4×C4⋊Q82
D4×C22⋊Q82
#359622
#359612
#358712
#358192
#357052
#357022
#356022
#355772
#354022
#353982
#352832
#351772
#350162
#350142
#349292
#349162
#347722
C2×#24922
#343342
#342612
C4×#5542
C4×#5182