Finite Group Databasebeta

← #7689662

Subgroups — #7689662

Order 512.

7460 conjugacy classes of subgroups.

The subgroup lattice has 1945 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3520C211yesmaximal, characteristic, complemented
2C2×#3482C211yesmaximal, characteristic, complemented
3#59410C211yesmaximal, characteristic, complemented
4#59312C212yesmaximal, complemented
5#59055C211yesmaximal, characteristic, complemented
6#59052C212yesmaximal, complemented
7#59048C214yesmaximal, complemented
8#59047C212yesmaximal, complemented
9#59040C211yesmaximal, characteristic, complemented
10#59022C212yesmaximal, complemented
11#45138C212yesmaximal, complemented
12#45101C212yesmaximal, complemented
13#43528C214yesmaximal, complemented
14#43497C214yesmaximal, complemented
15#39744C211yesmaximal, characteristic, complemented
16#39743C212yesmaximal, complemented
17#39139C211yesmaximal, characteristic, complemented
18#39133C212yesmaximal, complemented
19#37773C212yesmaximal, complemented
20#37771C214yesmaximal, complemented
21#36504C211yesmaximal, characteristic, complemented
22#36483C212yesmaximal, complemented
23#36259C211yesmaximal, characteristic, complemented
24#36218C212yesmaximal, complemented
25#36179C211yesmaximal, characteristic, complemented
26#36153C211yesmaximal, characteristic, complemented
27#36144C212yesmaximal, complemented
28#36134C211yesmaximal, characteristic, complemented
29#36060C212yesmaximal, complemented
30#36020C212yesmaximal, complemented
31#34727C211yesmaximal, characteristic, complemented
32C2×#2423C212yesmaximal, complemented
33#34334C211yesmaximal, characteristic, complemented
34#34289C212yesmaximal, complemented
35C4×#546C211yesmaximal, characteristic, complemented
36#3520—216no—
37#3482—216no—
38C2×#557C2211yescharacteristic, complemented
39C2×#556C2211yescharacteristic
40C2×#556C2211yescharacteristic, complemented
41C2×#556C2212yescomplemented
42C2×#554C2212yes—
43C2×#552C2212yes—
44C2×#552C2214yescomplemented
45C2×#552C2212yescomplemented
46C2×#551C2214yes—
47C2×D4×Q8C2211yescharacteristic
48C2×#548C2212yes—
49C2×#548C2212yescomplemented
50C2×#547C2211yescharacteristic
51C2×#547C2211yescharacteristic
52C2×#547C2211yescharacteristic
53C2×#547C2212yes—
54C2×#547C2212yes—
55C2×#547C2212yes—
56C2×#547C2212yes—
57C2×#546C2212yes—
58C2×#546C2211yescharacteristic
59C2×#546C2212yes—
60C2×#542C2212yes—
61C2×#539C2214yes—
62C2×#533C2211yescharacteristic
63C2×#533C2211yescharacteristic, complemented
64C2×#533C2212yescomplemented
65C2×#529C2211yescharacteristic
66C2×#529C2212yescomplemented
67C2×#529C2214yescomplemented
68C2×#525C2212yes—
69C22×C22⋊Q8C2212yes—
70C2×#520C2212yes—
71C2×C4×#41C2211yescharacteristic
72C2×C4×#41C2212yes—
73C2×C4×#41C2211yescharacteristic, complemented
74C22×C4×Q8C2212yescomplemented
75C22×C4×D4C2211yescharacteristic
76#2868C2211yescharacteristic, complemented
77#2857C2211yescharacteristic
78#2857C2211yescharacteristic, complemented
79#2856C2212yescomplemented
80#2854C2214yes—
81#2854C2212yescomplemented
82#2850C2212yes—
83#2847C2212yes—
84#2733C2214yescomplemented
85#2732C2214yes—
86#2732C2214yescomplemented
87#2732C2214yescomplemented
88#2730C2214yes—
89#2730C2214yescomplemented
90#2730C2214yescomplemented
91#2730C2214yescomplemented
92#2727C2214yescomplemented
93#2721C2214yescomplemented
94#2721C2214yescomplemented
95#2721C2214yescomplemented
96#2721C2214yescomplemented
97#2721C2214yescomplemented
98#2721C2214yescomplemented
99#2721C2214yescomplemented
100#2705C2214yescomplemented
101#2705C2214yescomplemented
102#2694C2214yes—
103#2694C2214yescomplemented
104#2694C2214yescomplemented
105#2658C2212yes—
106#2656C2214yes—
107#2621C2212yescomplemented
108#2618C2214yescomplemented
109#2554C2214yescomplemented
110#2554C2214yescomplemented
111#2552C2212yescomplemented
112#2552C2212yescomplemented
113#2552C2214yescomplemented
114#2547C2211yescharacteristic
115#2546C2211yescharacteristic, complemented
116#2546C2212yescomplemented
117#2545C2212yes—
118#2543C2214yes—
119#2543C2214yescomplemented
120#2542C2212yes—
121#2542C2212yes—
122#2542C2212yes—
123#2542C2212yescomplemented
124#2542C2212yescomplemented
125#2542C2211yescharacteristic, complemented
126#2542C2211yescharacteristic, complemented
127#2540C2212yes—
128#2540C2212yes—
129#2540C2212yes—
130#2539C2214yes—
131#2539C2214yes—
132#2539C2214yes—
133#2538C2212yes—
134#2538C2211yescharacteristic, complemented
135#2538C2212yescomplemented
136#2537C2211yescharacteristic
137#2536C2212yes—
138#2536C2212yescomplemented
139#2534C2214yes—
140#2512C2214yescomplemented
141#2501C2214yes—
142#2501C2214yes—
143#2501C2214yes—
144#2501C2214yescomplemented
145#2501C2212yescomplemented
146#2501C2212yescomplemented
147#2501C2214yescomplemented
148#2490C2212yes—
149#2486C2212yes—
150#2486C2214yescomplemented
151#2486C2212yescomplemented
152#2479C2214yes—
153#2479C2214yescomplemented
154#2479C2214yescomplemented
155#2479C2212yescomplemented
156#2471C2212yes—
157#2471C2214yescomplemented
158#2471C2214yescomplemented
159#2467C2214yes—
160#2467C2214yes—
161#2467C2212yescomplemented
162#2467C2214yescomplemented
163#2456C2212yes—
164#2454C2214yes—
165#2454C2211yescharacteristic, complemented
166#2448C2214yescomplemented
167#2448C2212yescomplemented
168#2448C2212yescomplemented
169#2448C2211yescharacteristic, complemented
170#2448C2214yescomplemented
171#2441C2212yes—
172#2441C2212yescomplemented
173#2441C2212yescomplemented
174#2441C2212yescomplemented
175#2441C2214yescomplemented
176#2441C2211yescharacteristic, complemented
177#2431C2212yescomplemented
178#2431C2211yescharacteristic, complemented
179#2429C2212yes—
180#2429C2212yescomplemented
181#2429C2212yescomplemented
182#2429C2212yescomplemented
183#2428C2211yescharacteristic
184#2427C2212yes—
185#2426C2212yes—
186#2426C2212yes—
187#2426C2212yescomplemented
188#2425C2214yes—
189#2425C2214yes—
190#2425C2214yescomplemented
191#2425C2214yescomplemented
192#2425C2214yescomplemented
193#2424C2214yes—
194#2423C2214yes—
195#2423C2212yes—
196#2423C2211yescharacteristic
197#2423C2212yes—
198#2423C2214yes—
199#2423C2212yes—
200#2423C2212yescomplemented
201#2423C2212yescomplemented
202#2423C2214yescomplemented
203#2423C2212yescomplemented
204#2423C2212yescomplemented
205#2423C2214yescomplemented
206#2423C2212yescomplemented
207#2423C2214yescomplemented
208#2423C2212yescomplemented
209#2423C2214yescomplemented
210#2417C2212yes—
211#2417C2212yescomplemented
212#2417C2212yescomplemented
213#2416C2212yes—
214#2416C2212yescomplemented
215#2415C2212yes—
216#2415C2212yescomplemented
217#2414C2212yes—
218#2414C2211yescharacteristic
219#2413C2214yes—
220#2413C2214yescomplemented
221#2413C2214yescomplemented
222#2413C2214yescomplemented
223#2412C2214yes—
224#2411C2214yes—
225#2407C2211yescharacteristic
226#2407C2212yescomplemented
227#2407C2212yescomplemented
228#2397C2212yes—
229C2×#399C2214yes—
230#2392C2212yescomplemented
231C2×#398C2214yescomplemented
232#2369C2212yescomplemented
233#2368C2214yescomplemented
234#2367C2211yescharacteristic
235#2365C2211yescharacteristic, complemented
236#2365C2212yescomplemented
237#2364C2212yes—
238#2364C2214yescomplemented
239#2363C2211yescharacteristic
240#2363C2214yes—
241#2363C2212yescomplemented
242#2362C2212yescomplemented
243#2360C2211yescharacteristic
244#2360C2212yescomplemented
245#2360C2212yescomplemented
246#2359C2212yes—
247#2359C2214yescomplemented
248#2359C2214yescomplemented
249#2358C2212yes—
250#2355C2211yescharacteristic, complemented
251#2354C2212yes—
252#2354C2212yescomplemented
253#2352C2211yescharacteristic
254#2352C2212yescomplemented
255Q8×C4⋊C4C2212yescomplemented
256Q8×C4⋊C4C2212yescomplemented
257#2349C2212yes—
258#2349C2211yescharacteristic
259D4×C4⋊C4C2211yescharacteristic
260#2344C2214yescomplemented
261#2342C2212yes—
262#2341C2212yescomplemented
263#2341C2212yescomplemented
264Q8×C22⋊C4C2212yescomplemented
265#2339C2212yes—
266#2339C2211yescharacteristic
267#2339C2212yes—
268D4×C22⋊C4C2211yescharacteristic
269#2331C2212yescomplemented
270#2329C2214yescomplemented
271#2327C2212yescomplemented
272#2325C2214yescomplemented
273#2323C2212yescomplemented
274#2322C2214yescomplemented
275C4×C4⋊Q8C2211yescharacteristic, complemented
276C4×#127C2211yescharacteristic, complemented
277C4×#124C2211yescharacteristic
278C4×C22⋊Q8C2211yescharacteristic
279C4×C22⋊Q8C2212yescomplemented
280C4×C22⋊Q8C2212yescomplemented
281C4×#123C2212yes—
282C4×#123C2214yescomplemented
283C4×#121C2211yescharacteristic
284C4×#121C2212yes—
285C4×#121C2211yescharacteristic
286C4×#121C2212yes—
287C4×#121C2211yescharacteristic, complemented
288C4×#120C2212yes—
289#2295C2211yescharacteristic, complemented
290C2×#391C2212yescomplemented
291C2×#389C2212yescomplemented
292#2290C2212yescomplemented
293C2×#388C2214yes—
294C2×#387C2214yescomplemented
295C2×#384C2212yescomplemented
296C2×#380C2212yes—
297#2275C2212yes—
298C42×D4C2211yescharacteristic
299C42×D4C2211yescharacteristic
300C2×C4×C22⋊C4C2212yes—
301C22×#41C2311yescharacteristic
302C22×#41C2312yes—
303C22×#41C2312yes—
304C22×#41C2312yes—
305C22×#41C2311yescharacteristic
306C23×Q8C2312yes—
307C23×D4C2311yescharacteristic
308C24×C4C2312yes—
309#557—28no—
310#556—28no—
311#556—216no—
312#556—28no—
313#554—216no—
314#552—216no—
315#552—216no—
316#552—232no—
317#551—232no—
318D4×Q8D4116yescomplemented
319#548—216no—
320#548—216no—
321#547—28no—
322#547—28no—
323#547—216no—
324#547—28no—
325#547—216no—
326#547—48no—
327#547—48no—
328#546—216no—
329#546—28no—
330#546—48no—
331#542—216no—
332#539—232no—
333#533—28no—
334#533—28no—
335#533—216no—
336C2×C4⋊Q8C2312yes—
337C2×C4⋊Q8C2311yescharacteristic
338C2×C4⋊Q8C2311yescharacteristic
339C2×C4⋊Q8C2312yes—
340C2×C4⋊Q8C2312yes—
341C2×C4⋊Q8C2312yes—
342C2×C4⋊Q8C2311yescharacteristic
343C2×C4⋊Q8C2312yes—
344C2×#127C2311yescharacteristic
345#529—216no—
346#529—232no—
347#529—28no—
348C2×#126C2312yes—
349C2×#126C2314yes—
350C2×#126C2314yes—
351C2×#126C2314yes—
352C2×#126C2314yes—
353C2×#126C2314yes—
354C2×#125C2311yescharacteristic
355C2×#125C2314yes—
356C2×#125C2312yes—
357C2×#125C2312yes—
358C2×#125C2312yes—
359C2×#125C2314yes—
360C2×#125C2314yes—
361C2×#124C2312yes—
362C2×#124C2311yescharacteristic
363C2×#124C2311yescharacteristic
364C2×#124C2312yes—
365C2×#124C2314yes—
366C2×#124C2314yes—
367C2×#124C2312yes—
368#525—216no—
369C2×#123C2314yes—
370C2×#123C2312yes—
371C2×#123C2314yes—
372C2×#123C2314yes—
373C2×#123C2314yes—
374C2×#123C2314yes—
375C2×#123C2314yes—
376C2×#123C2314yes—
377C2×#123C2314yes—
378C2×#123C2312yes—
379C2×#123C2314yes—
380C2×#123C2314yes—
381C2×#123C2314yes—
382C2×#123C2314yes—
383C2×#123C2314yes—
384C2×#123C2314yes—
385C2×C22⋊Q8—216no—
386C2×C22⋊Q8C2312yes—
387C2×C22⋊Q8C2311yescharacteristic
388C2×C22⋊Q8C2312yes—
389C2×C22⋊Q8C2311yescharacteristic
390C2×C22⋊Q8C2312yes—
391C2×C22⋊Q8C2312yes—
392C2×C22⋊Q8C2312yes—
393C2×C22⋊Q8C2314yes—
394C2×C22⋊Q8C2312yes—
395C2×C22⋊Q8C2314yes—
396C2×C22⋊Q8C2312yes—
397C2×C22⋊Q8C2312yes—
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2312yes—
400C2×C22⋊Q8C2312yes—
401C2×C22⋊Q8C2314yes—
402C2×C22⋊Q8C2314yes—
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2312yes—
407C2×C22⋊Q8C2312yes—
408C2×C22⋊Q8C2314yes—
409C2×C22⋊Q8C2312yes—
410C2×#121C2314yes—
411C2×#121C2312yes—
412C2×#121C2314yes—
413C2×#121C2312yes—
414C2×#121C2314yes—
415C2×#121C2312yes—
416C2×#121C2311yescharacteristic
417C2×#121C2312yes—
418C2×#121C2311yescharacteristic
419C2×#121C2312yes—
420C2×#121C2311yescharacteristic
421C2×#121C2312yes—
422C2×#121C2312yes—
423C2×#121C2314yes—
424C2×#121C2314yes—
425C2×#121C2314yes—
426C2×#121C2311yescharacteristic
427C2×#120C2312yes—
428C2×#120C2314yes—
429C2×#120C2314yes—
430#520—216no—
431C4×#41—28no—
432C4×#41—28no—
433C4×#41—216no—
434C2×C4×Q8—216no—
435C2×C4×Q8C2312yes—
436C2×C4×Q8C2312yes—
437C2×C4×Q8C2312yes—
438C2×C4×Q8C2312yes—
439C2×C4×Q8C2312yes—
440C2×C4×Q8C2311yescharacteristic
441C2×C4×Q8C2312yes—
442C2×C4×Q8C2312yes—
443C2×C4×Q8C2311yescharacteristic
444C2×C4×Q8C2314yes—
445C2×C4×Q8C2312yes—
446C2×C4×Q8C2314yes—
447C2×C4×Q8C2311yescharacteristic
448C2×C4×Q8C2312yes—
449C2×C4×Q8C2312yes—
450C2×C4×Q8C2311yescharacteristic
451C2×C4×D4—28no—
452C2×C4×D4C2312yes—
453C2×C4×D4C2311yescharacteristic
454C2×C4×D4C2311yescharacteristic
455C2×C4×D4C2314yes—
456C2×C4×D4C2314yes—
457C2×C4×D4C2311yescharacteristic
458C2×C4×D4C2311yescharacteristic
459C2×C4×D4C2311yescharacteristic
460C2×C4×D4C2312yes—
461C2×C4×D4C2311yescharacteristic
462C2×C4×D4C2311yescharacteristic
463C2×C4×D4C2312yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2314yes—
466C2×C4×D4C2314yes—
467C2×C4×D4C2311yescharacteristic
468C2×C4×D4C2314yes—
469C2×C4×D4C2311yescharacteristic
470C2×C4×D4C2312yes—
471C2×C4×D4C2312yes—
472C2×C4×D4C2312yes—
473C2×C4×D4C2311yescharacteristic
474C2×C4×D4C2312yes—
475C2×C4×D4C2312yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2312yes—
478C2×C4×D4C2312yes—
479C2×C4×D4C2312yes—
480C2×C4×D4C2311yescharacteristic
481C2×C4×D4C2311yescharacteristic
482C2×C4×D4C2312yes—
483C2×C4×D4C2311yescharacteristic
484C2×#117C2312yes—
485C2×#117C2312yes—
486C2×#117C2314yes—
487C2×#117C2314yes—
488C2×#117C2311yescharacteristic
489C2×#117C2312yes—
490C2×#117C2312yes—
491C2×#117C2312yes—
492C2×#117C2311yescharacteristic
493C2×#117C2312yes—
494C2×#117C2314yes—
495C2×#117C2312yes—
496C22×C4⋊C4C2314yes—
497C22×C4⋊C4C2314yes—
498C22×C4⋊C4C2311yescharacteristic
499C22×C4⋊C4C2312yes—
500C22×C4⋊C4C2314yes—
501C22×C4⋊C4C2312yes—
502C22×C4⋊C4C2312yes—
503C22×C4⋊C4C2312yes—
504C22×C4⋊C4C2314yes—
505C22×C4⋊C4C2314yes—
506C22×C22⋊C4C2312yes—
507C22×C22⋊C4C2312yes—
508C22×C22⋊C4C2312yes—
509C22×C22⋊C4C2314yes—
510C22×C22⋊C4C2314yes—
511C22×C42C2312yes—
512C22×C42C2314yes—
513C22×C42C2312yes—
514C22×C42C2311yescharacteristic
515C22×C42C2311yescharacteristic
516C22×C42C2312yes—
517#399C2312yes—
518#399C2314yes—
519#399C2314yes—
520#399C2314yes—
521#399C2314yes—
522#399C2314yes—
523#399C2314yes—
524#399C2314yes—
525#399C2312yes—
526#399C2312yes—
527#399C2312yes—
528#399C2314yes—
529#399C2314yes—
530#399C2314yes—
531#399C2314yes—
532#399C2314yes—
533#399C2314yes—
534#399C2314yes—
535#399C2314yes—
536#399C2314yes—
537#399C2314yes—
538#399C2314yes—
539#399C2314yes—
540#398C2314yes—
541#398C2314yes—
542#398C2314yes—
543#398C2312yes—
544#398C2314yes—
545#398C2314yes—
546#398C2314yes—
547#398C2314yes—
548#398C2314yes—
549#398C2314yes—
550#398C2314yes—
551#398C2314yes—
552#398C2314yes—
553#398C2314yes—
554#398C2314yes—
555#397C2314yes—
556#397C2314yes—
557#397C2312yes—
558#397C2314yes—
559#397C2314yes—
560#397C2314yes—
561#397C2314yes—
562#396C2314yes—
563#396C2314yes—
564#396C2314yes—
565#396C2314yes—
566#396C2312yes—
567#396C2312yes—
568#396C2314yes—
569#396C2314yes—
570#396C2314yes—
571#396C2314yes—
572#396C2314yes—
573#396C2314yes—
574#396C2314yes—
575#394C2312yes—
576#394C2314yes—
577#394C2312yes—
578#394C2312yes—
579#394C2314yes—
580#394C2314yes—
581#394C2314yes—
582#394C2314yes—
583#394C2314yes—
584#394C2314yes—
585#394C2314yes—
586#392C2312yes—
587#392C2312yes—
588#392C2312yes—
589#392C2312yes—
590#392C2312yes—
591#392C2314yes—
592#392C2314yes—
593#392C2314yes—
594#392C2314yes—
595#391C2312yes—
596#391C2312yes—
597#391C2312yes—
598#391C2312yes—
599#391C2314yes—
600#391C2314yes—
601#391C2314yes—
602#391C2312yes—
603#391C2311yescharacteristic
604#391C2311yescharacteristic
605#391C2311yescharacteristic
606#391C2312yes—
607#391C2312yes—
608#391C2314yes—
609#391C2311yescharacteristic
610#390C2311yescharacteristic
611#390C2311yescharacteristic
612#390C2312yes—
613#390C2312yes—
614#390C2311yescharacteristic
615#390C2311yescharacteristic
616#390C2311yescharacteristic
617#390C2314yes—
618#390C2314yes—
619#390C2312yes—
620#390C2312yes—
621#390C2314yes—
622#390C2314yes—
623#390C2314yes—
624#390C2312yes—
625#390C2314yes—
626#390C2314yes—
627#390C2314yes—
628#390C2312yes—
629#390C2314yes—
630#390C2314yes—
631#390C2314yes—
632#390C2312yes—
633#390C2311yescharacteristic
634#390C2314yes—
635#390C2314yes—
636#389C2312yes—
637#389C2312yes—
638#389C2314yes—
639#389C2314yes—
640#389C2311yescharacteristic
641#389C2314yes—
642#389C2314yes—
643#389C2312yes—
644#389C2312yes—
645#389C2314yes—
646#389C2314yes—
647#389C2312yes—
648#389C2312yes—
649#389C2312yes—
650#389C2312yes—
651#389C2312yes—
652#389C2311yescharacteristic
653#389C2311yescharacteristic
654#389C2314yes—
655#389C2314yes—
656#389C2312yes—
657#389C2311yescharacteristic
658#389C2314yes—
659#389C2312yes—
660#389C2314yes—
661#389C2314yes—
662#389C2312yes—
663#389C2311yescharacteristic
664#389C2314yes—
665#389C2312yes—
666#389C2311yescharacteristic
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2312yes—
675#388C2312yes—
676#388C2312yes—
677#388C2312yes—
678#388C2312yes—
679#388C2314yes—
680#388C2314yes—
681#388C2314yes—
682#388C2314yes—
683#388C2312yes—
684#388C2314yes—
685#388C2314yes—
686#388C2314yes—
687#388C2312yes—
688#388C2312yes—
689#388C2312yes—
690#388C2314yes—
691#388C2314yes—
692#388C2314yes—
693#388C2312yes—
694#388C2314yes—
695#388C2312yes—
696#388C2314yes—
697#388C2314yes—
698#388C2314yes—
699#388C2312yes—
700#388C2312yes—
701#387C2314yes—
702#387C2314yes—
703#387C2314yes—
704#387C2314yes—
705#387C2314yes—
706#387C2314yes—
707#387C2312yes—
708#387C2314yes—
709#387C2314yes—
710#387C2314yes—
711#387C2314yes—
712#387C2312yes—
713#387C2314yes—
714#387C2312yes—
715#387C2312yes—
716#387C2314yes—
717#387C2314yes—
718#387C2312yes—
719#387C2314yes—
720#387C2312yes—
721#387C2312yes—
722#387C2314yes—
723#386C2314yes—
724#386C2312yes—
725#386C2314yes—
726#386C2314yes—
727#386C2314yes—
728#386C2314yes—
729#386C2314yes—
730#386C2312yes—
731#386C2312yes—
732#386C2314yes—
733#386C2314yes—
734#386C2314yes—
735#386C2312yes—
736#386C2312yes—
737#386C2312yes—
738#386C2312yes—
739#386C2312yes—
740#386C2314yes—
741#386C2312yes—
742#386C2312yes—
743#386C2314yes—
744#386C2312yes—
745#386C2312yes—
746#386C2312yes—
747#385C2312yes—
748#385C2312yes—
749#385C2314yes—
750#385C2314yes—
751#385C2314yes—
752#385C2314yes—
753#385C2312yes—
754#385C2312yes—
755#385C2312yes—
756#385C2314yes—
757#385C2312yes—
758#385C2312yes—
759#384C2311yescharacteristic
760#384C2311yescharacteristic
761#384C2312yes—
762#384C2312yes—
763#384C2312yes—
764#384C2314yes—
765#384C2314yes—
766#384C2312yes—
767#384C2312yes—
768#384C2314yes—
769#384C2314yes—
770#384C2312yes—
771#384C2314yes—
772#382C2311yescharacteristic
773#382C2312yes—
774#381C2314yes—
775#381C2312yes—
776#381C2314yes—
777#380C2312yes—
778#380C2312yes—
779#380C2314yes—
780#380C2312yes—
781#380C2312yes—
782#380C2312yes—
783#380C2311yescharacteristic
784#380C2311yescharacteristic
785#380C2312yes—
786#380C2312yes—
787#380C2314yes—
788#380C2314yes—
789#380C2312yes—
790#380C2312yes—
791#380C2312yes—
792#380C2311yescharacteristic
793#380C2312yes—
794#380C2314yes—
795#380C2311yescharacteristic
796#380C2314yes—
797#380C2312yes—
798#379C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2311yescharacteristic
803C4×C4⋊C4C2314yes—
804C4×C4⋊C4C2314yes—
805C4×C4⋊C4C2311yescharacteristic
806C4×C4⋊C4C2311yescharacteristic
807C4×C4⋊C4C2312yes—
808C4×C4⋊C4C2311yescharacteristic
809C4×C4⋊C4C2314yes—
810C4×C4⋊C4C2312yes—
811C4×C4⋊C4C2312yes—
812C4×C4⋊C4C2311yescharacteristic
813C4×C4⋊C4C2311yescharacteristic
814C4×C4⋊C4C2311yescharacteristic
815C4×C4⋊C4C2312yes—
816C4×C4⋊C4C2314yes—
817C4×C22⋊C4C2314yes—
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2314yes—
820C4×C22⋊C4C2311yescharacteristic
821C4×C22⋊C4C2312yes—
822C4×C22⋊C4C2312yes—
823C4×C22⋊C4C2311yescharacteristic
824C4×C22⋊C4C2312yes—
825C4×C22⋊C4C2314yes—
826C4×C22⋊C4C2314yes—
827C4×C22⋊C4C2312yes—
828C4×C22⋊C4C2312yes—
829C4×C22⋊C4C2311yescharacteristic
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2312yes—
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2314yes—
835C4×C22⋊C4C2314yes—
836C4×C22⋊C4C2311yescharacteristic
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2311yescharacteristic
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2311yescharacteristic
842#376C2312yes—
843C2×#95C2314yes—
844C2×#95C2312yes—
845C2×#95C2314yes—
846C2×#95C2314yes—
847C2×#95C2312yes—
848C2×#95C2314yes—
849C43C2311yescharacteristic
850C25C2412yes—
851C2×#41—24no—
852C2×#41—28no—
853C2×#41—24no—
854C2×#41—28no—
855C2×#41—28no—
856C2×#41—24no—
857C2×#41—28no—
858C2×#41—28no—
859C2×#41—28no—
860C2×#41—24no—
861C2×#41—28no—
862C2×#41—42no—
863C2×#41—42no—
864C2×#41—44no—
865C2×#41—44no—
866C22×Q8—44no—
867C22×Q8—44no—
868C22×Q8C2×D4116yes—
869C22×Q8C2412yes—
870C22×Q8C2411yescharacteristic
871C22×Q8C2412yes—
872C22×Q8C2412yes—
873C22×Q8C2411yescharacteristic
874C22×Q8C2414yes—
875C22×D4—24no—
876C22×D4—24no—
877C22×D4—24no—
878C22×D4C2414yes—
879C22×D4C2412yes—
880C22×D4C2414yes—
881C22×D4C2412yes—
882C22×D4C2411yescharacteristic
883C22×D4C2411yescharacteristic
884C22×D4C2411yescharacteristic
885C22×D4C2412yes—
886C22×D4C2411yescharacteristic
887C22×D4C2412yes—
888C22×D4C2412yes—
889C22×D4C2412yes—
890C22×D4C2412yes—
891C22×D4C2412yes—
892C22×D4C2414yes—
893C22×D4C2412yes—
894C22×D4C2414yes—
895C22×D4C2411yescharacteristic
896C23×C4—28no—
897C23×C4—44no—
898C23×C4—44no—
899C23×C4C2414yes—
900C23×C4C2412yes—
901C23×C4C2414yes—
902C23×C4C2412yes—
903C23×C4C2411yescharacteristic
904C23×C4C2411yescharacteristic
905C23×C4C2412yes—
906C23×C4C2411yescharacteristic
907C23×C4C2412yes—
908C23×C4C2411yescharacteristic
909C23×C4C2411yescharacteristic
910C23×C4C2412yes—
911C23×C4C2412yes—
912C23×C4C2411yescharacteristic
913C23×C4C2412yes—
914C23×C4C2412yes—
915C23×C4C2414yes—
916C23×C4C2412yes—
917C23×C4C2412yes—
918C23×C4C2414yes—
919C23×C4C2412yes—
920C23×C4C2412yes—
921C23×C4C2414yes—
922C23×C4C2412yes—
923C4⋊Q8—24no—
924C4⋊Q8—24no—
925C4⋊Q8—28no—
926C4⋊Q8—28no—
927C4⋊Q8—44no—
928C4⋊Q8—44no—
929C4⋊Q8C2×D418yes—
930C4⋊Q8C2×D4116yes—
931#127—42no—
932#126—28no—
933#126—216no—
934#126—216no—
935#126—216no—
936#126—216no—
937#126—216no—
938#125—24no—
939#125—28no—
940#125—216no—
941#125—28no—
942#125—28no—
943#125—216no—
944#125—216no—
945#124—24no—
946#124—28no—
947#124—216no—
948#124—216no—
949#124—28no—
950#124—24no—
951#124—44no—
952#123—216no—
953#123—28no—
954#123—216no—
955#123—216no—
956#123—216no—
957#123—216no—
958#123—216no—
959#123—216no—
960#123—28no—
961#123—216no—
962#123—216no—
963#123—48no—
964#123—48no—
965#123—48no—
966#123—48no—
967#123—48no—
968C22⋊Q8—24no—
969C22⋊Q8—28no—
970C22⋊Q8—216no—
971C22⋊Q8—28no—
972C22⋊Q8—28no—
973C22⋊Q8—216no—
974C22⋊Q8—28no—
975C22⋊Q8—216no—
976C22⋊Q8—216no—
977C22⋊Q8—28no—
978C22⋊Q8—28no—
979C22⋊Q8—28no—
980C22⋊Q8—28no—
981C22⋊Q8—28no—
982C22⋊Q8—24no—
983C22⋊Q8—28no—
984C22⋊Q8—28no—
985C22⋊Q8—44no—
986C22⋊Q8—44no—
987C22⋊Q8—44no—
988C22⋊Q8—44no—
989C22⋊Q8—44no—
990C22⋊Q8C2×D4116yes—
991C22⋊Q8C2×D4132yes—
992#121—28no—
993#121—28no—
994#121—216no—
995#121—216no—
996#121—28no—
997#121—216no—
998#121—24no—
999#121—28no—
1000#121—24no—
1001#121—28no—
1002#121—42no—
1003#121—44no—
1004#121—42no—
1005#121—44no—
1006#121—48no—
1007#121—48no—
1008#121—48no—
1009#120—216no—
1010#120—28no—
1011#120—48no—
1012C4×Q8—24no—
1013C4×Q8—28no—
1014C4×Q8—216no—
1015C4×Q8—28no—
1016C4×Q8—28no—
1017C4×Q8—216no—
1018C4×Q8—28no—
1019C4×Q8—24no—
1020C4×Q8—28no—
1021C4×Q8—28no—
1022C4×Q8—24no—
1023C4×Q8—28no—
1024C4×Q8—28no—
1025C4×Q8—44no—
1026C4×Q8—44no—
1027C4×Q8C2×D418yes—
1028C4×D4—24no—
1029C4×D4—24no—
1030C4×D4—28no—
1031C4×D4—24no—
1032C4×D4—28no—
1033C4×D4—28no—
1034C4×D4—216no—
1035C4×D4—216no—
1036C4×D4—24no—
1037C4×D4—24no—
1038C4×D4—28no—
1039C4×D4—216no—
1040C4×D4—28no—
1041C4×D4—28no—
1042C4×D4—216no—
1043C4×D4—216no—
1044C4×D4—24no—
1045C4×D4—24no—
1046C4×D4—24no—
1047C4×D4—28no—
1048C4×D4—28no—
1049C4×D4—24no—
1050C4×D4—24no—
1051C4×D4—28no—
1052C4×D4—44no—
1053C4×D4—42no—
1054C4×D4—44no—
1055C4×D4—44no—
1056C4×D4—44no—
1057C4×D4C2×D418yes—
1058C4×D4C2×D4116yes—
1059C4×D4#4118yescomplemented
1060#117—24no—
1061#117—28no—
1062#117—24no—
1063#117—28no—
1064#117—28no—
1065#117—28no—
1066#117—216no—
1067#117—28no—
1068#117—28no—
1069#117—216no—
1070#117—216no—
1071#117—28no—
1072C2×C4⋊C4—28no—
1073C2×C4⋊C4—216no—
1074C2×C4⋊C4—216no—
1075C2×C4⋊C4—28no—
1076C2×C4⋊C4—216no—
1077C2×C4⋊C4—24no—
1078C2×C4⋊C4—28no—
1079C2×C4⋊C4—44no—
1080C2×C4⋊C4—48no—
1081C2×C4⋊C4—48no—
1082C2×C4⋊C4C2411yescharacteristic
1083C2×C4⋊C4C2411yescharacteristic
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2414yes—
1087C2×C4⋊C4C2411yescharacteristic
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2411yescharacteristic
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2414yes—
1093C2×C4⋊C4C2414yes—
1094C2×C4⋊C4C2412yes—
1095C2×C4⋊C4C2414yes—
1096C2×C4⋊C4C2414yes—
1097C2×C4⋊C4C2414yes—
1098C2×C4⋊C4C2414yes—
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2414yes—
1101C2×C4⋊C4C2414yes—
1102C2×C4⋊C4C2414yes—
1103C2×C4⋊C4C2414yes—
1104C2×C4⋊C4C2411yescharacteristic
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2414yes—
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2414yes—
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2414yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2411yescharacteristic
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2411yescharacteristic
1117C2×C4⋊C4C2411yescharacteristic
1118C2×C4⋊C4C2411yescharacteristic
1119C2×C4⋊C4C2414yes—
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2414yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2414yes—
1126C2×C4⋊C4C2414yes—
1127C2×C4⋊C4C2414yes—
1128C2×C4⋊C4C2414yes—
1129C2×C4⋊C4C2414yes—
1130C2×C4⋊C4C2414yes—
1131C2×C4⋊C4C2414yes—
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2411yescharacteristic
1135C2×C4⋊C4C2414yes—
1136C2×C4⋊C4C2414yes—
1137C2×C4⋊C4C2414yes—
1138C2×C4⋊C4C2414yes—
1139C2×C4⋊C4C2414yes—
1140C2×C4⋊C4C2412yes—
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2412yes—
1143C2×C4⋊C4C2411yescharacteristic
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2411yescharacteristic
1146C2×C4⋊C4C2412yes—
1147C2×C4⋊C4C2412yes—
1148C2×C4⋊C4C2414yes—
1149C2×C4⋊C4C2411yescharacteristic
1150C2×C22⋊C4—216no—
1151C2×C22⋊C4—28no—
1152C2×C22⋊C4—28no—
1153C2×C22⋊C4—28no—
1154C2×C22⋊C4—48no—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2411yescharacteristic
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2414yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2414yes—
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2414yes—
1177C2×C22⋊C4C2414yes—
1178C2×C22⋊C4C2414yes—
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2414yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2411yescharacteristic
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2411yescharacteristic
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2414yes—
1192C2×C22⋊C4C2414yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2414yes—
1196C2×C22⋊C4C2414yes—
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2411yescharacteristic
1204C2×C22⋊C4C2411yescharacteristic
1205C2×C22⋊C4C2412yes—
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2414yes—
1208C2×C22⋊C4C2414yes—
1209C2×C22⋊C4C2414yes—
1210C2×C22⋊C4C2414yes—
1211C2×C22⋊C4C2414yes—
1212C2×C22⋊C4C2414yes—
1213C2×C22⋊C4C2412yes—
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2412yes—
1216C2×C22⋊C4C2414yes—
1217C2×C22⋊C4C2412yes—
1218C2×C22⋊C4C2412yes—
1219C2×C22⋊C4C2414yes—
1220C2×C22⋊C4C2412yes—
1221C2×C22⋊C4C2411yescharacteristic
1222C2×C42—28no—
1223C2×C42—216no—
1224C2×C42—24no—
1225C2×C42—24no—
1226C2×C42—28no—
1227C2×C42—44no—
1228C2×C42C2411yescharacteristic
1229C2×C42C2412yes—
1230C2×C42C2411yescharacteristic
1231C2×C42C2414yes—
1232C2×C42C2412yes—
1233C2×C42C2414yes—
1234C2×C42C2414yes—
1235C2×C42C2412yes—
1236C2×C42C2414yes—
1237C2×C42C2412yes—
1238C2×C42C2411yescharacteristic
1239C2×C42C2411yescharacteristic
1240C2×C42C2411yescharacteristic
1241C2×C42C2412yes—
1242C2×C42C2414yes—
1243C2×C42C2411yescharacteristic
1244C2×C42C2411yescharacteristic
1245C2×C42C2412yes—
1246C2×C42C2411yescharacteristic
1247C2×C42C2412yes—
1248C2×C42C2411yescharacteristic
1249C2×C42C2411yescharacteristic
1250C2×C42C2414yes—
1251C2×C42C2414yes—
1252C2×C42C2411yescharacteristic
1253C2×C42C2414yes—
1254C2×C42C2412yes—
1255C2×C42C2412yes—
1256C2×C42C2412yes—
1257C2×C42C2411yescharacteristic
1258C2×C42C2411yescharacteristic
1259#95C2412yes—
1260#95C2411yescharacteristic
1261#95C2411yescharacteristic
1262#95C2412yes—
1263#95C2412yes—
1264#95C2412yes—
1265#95C2412yes—
1266#95C2412yes—
1267#95C2412yes—
1268#95C2412yes—
1269#95C2412yes—
1270#95C2412yes—
1271#95C2414yes—
1272#95C2414yes—
1273#95C2414yes—
1274#95C2414yes—
1275#95C2414yes—
1276#95C2414yes—
1277#95C2414yes—
1278#95C2414yes—
1279#95C2414yes—
1280#95C2414yes—
1281#95C2414yes—
1282#95C2414yes—
1283#95C2412yes—
1284#95C2412yes—
1285#95C2412yes—
1286#95C2412yes—
1287#95C2411yescharacteristic
1288#95C2411yescharacteristic
1289#95C2411yescharacteristic
1290#95C2412yes—
1291#95C2412yes—
1292#95C2412yes—
1293#95C2411yescharacteristic
1294#95C2412yes—
1295#95C2412yes—
1296#95C2414yes—
1297#95C2412yes—
1298#95C2412yes—
1299#95C2414yes—
1300#95C2414yes—
1301#95C2414yes—
1302#95C2412yes—
1303#95C2412yes—
1304#95C2414yes—
1305#95C2414yes—
1306#95C2412yes—
1307C24—24no—
1308C24—24no—
1309C24—24no—
1310C24—24no—
1311C24—42no—
1312C24—42no—
1313C24—42no—
1314C24C2512yes—
1315C24C2512yes—
1316C24C2511yescharacteristic
1317C24C2512yes—
1318C24C2511yescharacteristic
1319C24C2512yes—
1320#41—416no—
1321#41—416no—
1322#41—432no—
1323#41—432no—
1324#41—816no—
1325C2×Q8—24no—
1326C2×Q8—22no—
1327C2×Q8—24no—
1328C2×Q8—22no—
1329C2×Q8—24no—
1330C2×Q8—24no—
1331C2×Q8—24no—
1332C2×Q8—24no—
1333C2×Q8—22no—
1334C2×Q8—24no—
1335C2×Q8—24no—
1336C2×Q8—22no—
1337C2×Q8—22no—
1338C2×Q8—44no—
1339C2×Q8—44no—
1340C2×Q8—432no—
1341C2×Q8C22×D414yes—
1342C2×Q8C22×D418yes—
1343C2×Q8C22×D4116yes—
1344C2×D4—28no—
1345C2×D4—24no—
1346C2×D4—24no—
1347C2×D4—28no—
1348C2×D4—24no—
1349C2×D4—24no—
1350C2×D4—28no—
1351C2×D4—28no—
1352C2×D4—28no—
1353C2×D4—24no—
1354C2×D4—28no—
1355C2×D4—24no—
1356C2×D4—22no—
1357C2×D4—24no—
1358C2×D4—24no—
1359C2×D4—24no—
1360C2×D4—22no—
1361C2×D4—24no—
1362C2×D4—22no—
1363C2×D4—22no—
1364C2×D4—28no—
1365C2×D4—22no—
1366C2×D4—22no—
1367C2×D4—24no—
1368C2×D4—24no—
1369C2×D4—22no—
1370C2×D4—24no—
1371C2×D4—22no—
1372C2×D4—22no—
1373C2×D4—22no—
1374C2×D4—22no—
1375C2×D4—41no—
1376C2×D4—42no—
1377C2×D4—42no—
1378C2×D4—42no—
1379C2×D4—42no—
1380C2×D4—42no—
1381C2×D4—42no—
1382C2×D4—42no—
1383C2×D4—42no—
1384C2×D4—42no—
1385C2×D4—42no—
1386C2×D4—42no—
1387C2×D4—42no—
1388C2×D4—42no—
1389C2×D4—42no—
1390C2×D4—44no—
1391C2×D4—44no—
1392C2×D4—44no—
1393C2×D4—44no—
1394C2×D4—44no—
1395C2×D4—416no—
1396C2×D4C22×D414yes—
1397C2×D4C2×#4114yes—
1398C2×D4H(5,𝔽2)14yes—
1399C22×C4—24no—
1400C22×C4—24no—
1401C22×C4—24no—
1402C22×C4—24no—
1403C22×C4—28no—
1404C22×C4—28no—
1405C22×C4—24no—
1406C22×C4—28no—
1407C22×C4—28no—
1408C22×C4—28no—
1409C22×C4—24no—
1410C22×C4—28no—
1411C22×C4—24no—
1412C22×C4—22no—
1413C22×C4—24no—
1414C22×C4—28no—
1415C22×C4—22no—
1416C22×C4—22no—
1417C22×C4—24no—
1418C22×C4—22no—
1419C22×C4—24no—
1420C22×C4—22no—
1421C22×C4—24no—
1422C22×C4—22no—
1423C22×C4—22no—
1424C22×C4—24no—
1425C22×C4—24no—
1426C22×C4—22no—
1427C22×C4—22no—
1428C22×C4—24no—
1429C22×C4—24no—
1430C22×C4—24no—
1431C22×C4—22no—
1432C22×C4—24no—
1433C22×C4—22no—
1434C22×C4—24no—
1435C22×C4—24no—
1436C22×C4—22no—
1437C22×C4—24no—
1438C22×C4—22no—
1439C22×C4—22no—
1440C22×C4—22no—
1441C22×C4—24no—
1442C22×C4—22no—
1443C22×C4—24no—
1444C22×C4—24no—
1445C22×C4—28no—
1446C22×C4—24no—
1447C22×C4—42no—
1448C22×C4—42no—
1449C22×C4—42no—
1450C22×C4—42no—
1451C22×C4—41no—
1452C22×C4—41no—
1453C22×C4—42no—
1454C22×C4—44no—
1455C22×C4—44no—
1456C22×C4—42no—
1457C22×C4—42no—
1458C22×C4—44no—
1459C22×C4—42no—
1460C22×C4—42no—
1461C22×C4—42no—
1462C22×C4—42no—
1463C22×C4—42no—
1464C22×C4—42no—
1465C22×C4—44no—
1466C22×C4—44no—
1467C22×C4—44no—
1468C22×C4—816no—
1469C22×C4C22×D418yes—
1470C22×C4C22×D4116yes—
1471C22×C4C2×#4118yes—
1472C22×C4C2512yes—
1473C22×C4C2512yes—
1474C22×C4C2512yes—
1475C22×C4C2514yes—
1476C22×C4C2511yescharacteristic
1477C22×C4C2512yes—
1478C22×C4C2511yescharacteristic
1479C22×C4C2512yes—
1480C22×C4C2511yescharacteristic
1481C22×C4C2511yescharacteristic
1482C22×C4C2511yescharacteristic
1483C22×C4C2512yes—
1484C22×C4C2514yes—
1485C22×C4C2512yes—
1486C22×C4C2514yes—
1487C22×C4C2511yescharacteristic
1488C22×C4C2512yes—
1489C22×C4C2512yes—
1490C22×C4C2512yes—
1491C22×C4C2511yescharacteristic
1492C22×C4C2514yes—
1493C22×C4C2512yes—
1494C22×C4C2511yescharacteristic
1495C22×C4C2511yescharacteristic
1496C22×C4C2512yes—
1497C22×C4C2511yescharacteristic
1498C22×C4C2511yescharacteristic
1499C22×C4C2511yescharacteristic
1500C22×C4C2511yescharacteristic
1501C4⋊C4—22no—
1502C4⋊C4—24no—
1503C4⋊C4—22no—
1504C4⋊C4—24no—
1505C4⋊C4—28no—
1506C4⋊C4—22no—
1507C4⋊C4—24no—
1508C4⋊C4—24no—
1509C4⋊C4—28no—
1510C4⋊C4—28no—
1511C4⋊C4—28no—
1512C4⋊C4—24no—
1513C4⋊C4—28no—
1514C4⋊C4—28no—
1515C4⋊C4—28no—
1516C4⋊C4—28no—
1517C4⋊C4—22no—
1518C4⋊C4—24no—
1519C4⋊C4—28no—
1520C4⋊C4—24no—
1521C4⋊C4—28no—
1522C4⋊C4—24no—
1523C4⋊C4—28no—
1524C4⋊C4—24no—
1525C4⋊C4—24no—
1526C4⋊C4—24no—
1527C4⋊C4—28no—
1528C4⋊C4—24no—
1529C4⋊C4—28no—
1530C4⋊C4—28no—
1531C4⋊C4—28no—
1532C4⋊C4—22no—
1533C4⋊C4—24no—
1534C4⋊C4—28no—
1535C4⋊C4—24no—
1536C4⋊C4—22no—
1537C4⋊C4—22no—
1538C4⋊C4—24no—
1539C4⋊C4—22no—
1540C4⋊C4—24no—
1541C4⋊C4—22no—
1542C4⋊C4—42no—
1543C4⋊C4—42no—
1544C4⋊C4—44no—
1545C4⋊C4—44no—
1546C4⋊C4—44no—
1547C4⋊C4—44no—
1548C4⋊C4—44no—
1549C4⋊C4—44no—
1550C4⋊C4—44no—
1551C4⋊C4—42no—
1552C4⋊C4—42no—
1553C4⋊C4—42no—
1554C4⋊C4—41no—
1555C4⋊C4—42no—
1556C4⋊C4—42no—
1557C4⋊C4—44no—
1558C4⋊C4—44no—
1559C4⋊C4—44no—
1560C4⋊C4—44no—
1561C4⋊C4—44no—
1562C4⋊C4C22×D414yes—
1563C4⋊C4C22×D418yes—
1564C4⋊C4C22×D414yes—
1565C4⋊C4C22×D418yes—
1566C4⋊C4C22×D418yes—
1567C4⋊C4C22×D4116yes—
1568C4⋊C4C2×#4114yes—
1569C22⋊C4—24no—
1570C22⋊C4—24no—
1571C22⋊C4—28no—
1572C22⋊C4—24no—
1573C22⋊C4—24no—
1574C22⋊C4—24no—
1575C22⋊C4—28no—
1576C22⋊C4—24no—
1577C22⋊C4—24no—
1578C22⋊C4—28no—
1579C22⋊C4—28no—
1580C22⋊C4—24no—
1581C22⋊C4—24no—
1582C22⋊C4—24no—
1583C22⋊C4—24no—
1584C22⋊C4—24no—
1585C22⋊C4—28no—
1586C22⋊C4—24no—
1587C22⋊C4—28no—
1588C22⋊C4—28no—
1589C22⋊C4—28no—
1590C22⋊C4—28no—
1591C22⋊C4—24no—
1592C22⋊C4—28no—
1593C22⋊C4—24no—
1594C22⋊C4—22no—
1595C22⋊C4—24no—
1596C22⋊C4—24no—
1597C22⋊C4—24no—
1598C22⋊C4—22no—
1599C22⋊C4—24no—
1600C22⋊C4—24no—
1601C22⋊C4—24no—
1602C22⋊C4—28no—
1603C22⋊C4—28no—
1604C22⋊C4—24no—
1605C22⋊C4—24no—
1606C22⋊C4—22no—
1607C22⋊C4—24no—
1608C22⋊C4—42no—
1609C22⋊C4—44no—
1610C22⋊C4—44no—
1611C22⋊C4—44no—
1612C22⋊C4—42no—
1613C22⋊C4—44no—
1614C22⋊C4—42no—
1615C22⋊C4—42no—
1616C22⋊C4—42no—
1617C22⋊C4—41no—
1618C22⋊C4—41no—
1619C22⋊C4—42no—
1620C22⋊C4—42no—
1621C22⋊C4—42no—
1622C22⋊C4—42no—
1623C22⋊C4—42no—
1624C22⋊C4—44no—
1625C22⋊C4—42no—
1626C22⋊C4—44no—
1627C22⋊C4—42no—
1628C22⋊C4—44no—
1629C22⋊C4—44no—
1630C22⋊C4—44no—
1631C22⋊C4—44no—
1632C22⋊C4C22×D418yes—
1633C22⋊C4C22×D4116yes—
1634C22⋊C4C2×#4118yes—
1635C22⋊C42−1+414yes—
1636C42—24no—
1637C42—22no—
1638C42—22no—
1639C42—24no—
1640C42—22no—
1641C42—22no—
1642C42—28no—
1643C42—24no—
1644C42—28no—
1645C42—24no—
1646C42—22no—
1647C42—22no—
1648C42—28no—
1649C42—24no—
1650C42—28no—
1651C42—28no—
1652C42—24no—
1653C42—22no—
1654C42—22no—
1655C42—22no—
1656C42—24no—
1657C42—22no—
1658C42—42no—
1659C42—42no—
1660C42—44no—
1661C42—41no—
1662C42—44no—
1663C42—44no—
1664C42C22×D414yes—
1665C42C22×D418yes—
1666C42C2×#4114yes—
1667C23—22no—
1668C23—22no—
1669C23—22no—
1670C23—22no—
1671C23—21no—
1672C23—21no—
1673C23—21no—
1674C23—21no—
1675C23—21no—
1676C23—21no—
1677C23—21no—
1678C23—22no—
1679C23—22no—
1680C23—22no—
1681C23—22no—
1682C23—22no—
1683C23—22no—
1684C23—21no—
1685C23—22no—
1686C23—21no—
1687C23—22no—
1688C23—22no—
1689C23—22no—
1690C23—21no—
1691C23—22no—
1692C23—22no—
1693C23—21no—
1694C23—22no—
1695C23—22no—
1696C23—21no—
1697C23—22no—
1698C23—22no—
1699C23—22no—
1700C23—22no—
1701C23—22no—
1702C23—22no—
1703C23—22no—
1704C23—21no—
1705C23—48no—
1706C23—48no—
1707C23—48no—
1708C23—48no—
1709C23—84no—
1710C23—84no—
1711C23—84no—
1712C23C23×D414yes—
1713C23C22×#4114yes—
1714C23C2×H(5,𝔽2)14yes—
1715C23C2×2−1+412yes—
1716C23C2611yescharacteristic
1717Q8—28no—
1718Q8—216no—
1719Q8—416no—
1720Q8—48no—
1721Q8—44no—
1722Q8—48no—
1723D4—48no—
1724D4—44no—
1725D4—48no—
1726D4—48no—
1727D4—416no—
1728D4—48no—
1729D4—416no—
1730D4—44no—
1731D4—44no—
1732D4—44no—
1733D4—84no—
1734D4—84no—
1735D4—84no—
1736D4—88no—
1737D4—84no—
1738D4—84no—
1739D4—164no—
1740D4#550116yes—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—22no—
1746C2×C4—21no—
1747C2×C4—22no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—22no—
1751C2×C4—24no—
1752C2×C4—24no—
1753C2×C4—22no—
1754C2×C4—22no—
1755C2×C4—22no—
1756C2×C4—22no—
1757C2×C4—22no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—216no—
1762C2×C4—21no—
1763C2×C4—22no—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—22no—
1767C2×C4—24no—
1768C2×C4—21no—
1769C2×C4—22no—
1770C2×C4—24no—
1771C2×C4—21no—
1772C2×C4—22no—
1773C2×C4—22no—
1774C2×C4—21no—
1775C2×C4—22no—
1776C2×C4—22no—
1777C2×C4—22no—
1778C2×C4—21no—
1779C2×C4—24no—
1780C2×C4—24no—
1781C2×C4—21no—
1782C2×C4—22no—
1783C2×C4—22no—
1784C2×C4—22no—
1785C2×C4—24no—
1786C2×C4—22no—
1787C2×C4—24no—
1788C2×C4—21no—
1789C2×C4—22no—
1790C2×C4—21no—
1791C2×C4—24no—
1792C2×C4—22no—
1793C2×C4—22no—
1794C2×C4—22no—
1795C2×C4—21no—
1796C2×C4—22no—
1797C2×C4—22no—
1798C2×C4—21no—
1799C2×C4—22no—
1800C2×C4—24no—
1801C2×C4—21no—
1802C2×C4—21no—
1803C2×C4—21no—
1804C2×C4—22no—
1805C2×C4—22no—
1806C2×C4—22no—
1807C2×C4—21no—
1808C2×C4—21no—
1809C2×C4—24no—
1810C2×C4—22no—
1811C2×C4—21no—
1812C2×C4—22no—
1813C2×C4—416no—
1814C2×C4—48no—
1815C2×C4—44no—
1816C2×C4—48no—
1817C2×C4—48no—
1818C2×C4—44no—
1819C2×C4—48no—
1820C2×C4—48no—
1821C2×C4—48no—
1822C2×C4—416no—
1823C2×C4—416no—
1824C2×C4—44no—
1825C2×C4—44no—
1826C2×C4—48no—
1827C2×C4—48no—
1828C2×C4—44no—
1829C2×C4—48no—
1830C2×C4—44no—
1831C2×C4—84no—
1832C2×C4—84no—
1833C2×C4—88no—
1834C2×C4—88no—
1835C2×C4—84no—
1836C2×C4C23×D414yes—
1837C2×C4C23×D414yes—
1838C2×C4C23×D418yes—
1839C2×C4C23×D412yes—
1840C2×C4C23×D414yes—
1841C2×C4C23×D412yes—
1842C2×C4C23×D412yes—
1843C2×C4C22×#4112yes—
1844C2×C4C22×#4112yes—
1845C2×C4C22×#4114yes—
1846C2×C4C22×#4112yes—
1847C2×C4C2×H(5,𝔽2)12yes—
1848C2×C4C2×2−1+412yes—
1849C2×C4C2×2−1+412yes—
1850C2×C4#58512yes—
1851C2×C4#58512yes—
1852C22—24no—
1853C22—24no—
1854C22—24no—
1855C22—24no—
1856C22—24no—
1857C22—24no—
1858C22—22no—
1859C22—22no—
1860C22—22no—
1861C22—41no—
1862C22—41no—
1863C22—41no—
1864C22—41no—
1865C22—41no—
1866C22—42no—
1867C22—42no—
1868C22—42no—
1869C22—41no—
1870C22—42no—
1871C22—42no—
1872C22—42no—
1873C22—42no—
1874C22—42no—
1875C22—41no—
1876C22—42no—
1877C22—42no—
1878C22—42no—
1879C22—41no—
1880C22—42no—
1881C22—41no—
1882C22—42no—
1883C22—42no—
1884C22—42no—
1885C22—41no—
1886C22—42no—
1887C22—42no—
1888C22—42no—
1889C22—42no—
1890C22—41no—
1891C22—42no—
1892C22—42no—
1893C22—816no—
1894C22C2×#55018yes—
1895C22C24×D411yescharacteristic
1896C22C23×#4111yescharacteristic
1897C22C22×H(5,𝔽2)11yescharacteristic
1898C22C22×2−1+411yescharacteristic
1899C22C2×#58511yescharacteristic
1900C22C2×#58511yescharacteristic
1901C222−1+611yescharacteristic
1902C4—22no—
1903C4—24no—
1904C4—22no—
1905C4—22no—
1906C4—24no—
1907C4—22no—
1908C4—24no—
1909C4—24no—
1910C4—28no—
1911C4—22no—
1912C4—41no—
1913C4—42no—
1914C4—42no—
1915C4—42no—
1916C4—41no—
1917C4—41no—
1918C4—42no—
1919C4—41no—
1920C4—42no—
1921C4—44no—
1922C4—41no—
1923C4—42no—
1924C4—42no—
1925C4—41no—
1926C4—44no—
1927C4—42no—
1928C4—44no—
1929C4C2×#55014yes—
1930C4#348514yes—
1931C2—28no—
1932C2—42no—
1933C2—81no—
1934C2—82no—
1935C2—82no—
1936C2—82no—
1937C2C22×#55011yescharacteristic
1938C2C2×#348511yescharacteristic
1939C2#6280511yescharacteristic
1940C2#6292111yescharacteristic
1941C2#6299111yescharacteristic
1942C2D4×2−1+411yescharacteristic
1943C2#6301311yescharacteristic
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. C2×#3520C2semidirect
2. C2×#3482C2semidirect
3. #59410C2semidirect
4. #59312C2semidirect
5. #59055C2semidirect
6. #59052C2semidirect
7. #59048C2semidirect
8. #59047C2semidirect
9. #59040C2semidirect
10. #59022C2semidirect
11. #45138C2semidirect
12. #45101C2semidirect
13. #43528C2semidirect
14. #43497C2semidirect
15. #39744C2semidirect
16. #39743C2semidirect
17. #39139C2semidirect
18. #39133C2semidirect
19. #37773C2semidirect
20. #37771C2semidirect
21. #36504C2semidirect
22. #36483C2semidirect
23. #36259C2semidirect
24. #36218C2semidirect
25. #36179C2semidirect
26. #36153C2semidirect
27. #36144C2semidirect
28. #36134C2semidirect
29. #36060C2semidirect
30. #36020C2semidirect
31. #34727C2semidirect
32. C2×#2423C2semidirect
33. #34334C2semidirect
34. #34289C2semidirect
35. C4×#546C2semidirect
38. C2×#557C22semidirect
40. C2×#556C22semidirect
41. C2×#556C22semidirect
44. C2×#552C22semidirect
45. C2×#552C22semidirect
49. C2×#548C22semidirect
63. C2×#533C22semidirect
64. C2×#533C22semidirect
66. C2×#529C22semidirect
67. C2×#529C22semidirect
73. C2×C4×#41C22semidirect
74. C22×C4×Q8C22semidirect
76. #2868C22semidirect
78. #2857C22semidirect
79. #2856C22semidirect
81. #2854C22semidirect
84. #2733C22semidirect
86. #2732C22semidirect
87. #2732C22semidirect
89. #2730C22semidirect
90. #2730C22semidirect
91. #2730C22semidirect
92. #2727C22semidirect
93. #2721C22semidirect
94. #2721C22semidirect
95. #2721C22semidirect
96. #2721C22semidirect
97. #2721C22semidirect
98. #2721C22semidirect
99. #2721C22semidirect
100. #2705C22semidirect
101. #2705C22semidirect
103. #2694C22semidirect
104. #2694C22semidirect
107. #2621C22semidirect
108. #2618C22semidirect
109. #2554C22semidirect
110. #2554C22semidirect
111. #2552C22semidirect
112. #2552C22semidirect
113. #2552C22semidirect
115. #2546C22semidirect
116. #2546C22semidirect
119. #2543C22semidirect
123. #2542C22semidirect
124. #2542C22semidirect
125. #2542C22semidirect
126. #2542C22semidirect
134. #2538C22semidirect
135. #2538C22semidirect
138. #2536C22semidirect
140. #2512C22semidirect
144. #2501C22semidirect
145. #2501C22semidirect
146. #2501C22semidirect
147. #2501C22semidirect
150. #2486C22semidirect
151. #2486C22semidirect
153. #2479C22semidirect
154. #2479C22semidirect
155. #2479C22semidirect
157. #2471C22semidirect
158. #2471C22semidirect
161. #2467C22semidirect
162. #2467C22semidirect
165. #2454C22semidirect
166. #2448C22semidirect
167. #2448C22semidirect
168. #2448C22semidirect
169. #2448C22semidirect
170. #2448C22semidirect
172. #2441C22semidirect
173. #2441C22semidirect
174. #2441C22semidirect
175. #2441C22semidirect
176. #2441C22semidirect
177. #2431C22semidirect
178. #2431C22semidirect
180. #2429C22semidirect
181. #2429C22semidirect
182. #2429C22semidirect
187. #2426C22semidirect
190. #2425C22semidirect
191. #2425C22semidirect
192. #2425C22semidirect
200. #2423C22semidirect
201. #2423C22semidirect
202. #2423C22semidirect
203. #2423C22semidirect
204. #2423C22semidirect
205. #2423C22semidirect
206. #2423C22semidirect
207. #2423C22semidirect
208. #2423C22semidirect
209. #2423C22semidirect
211. #2417C22semidirect
212. #2417C22semidirect
214. #2416C22semidirect
216. #2415C22semidirect
220. #2413C22semidirect
221. #2413C22semidirect
222. #2413C22semidirect
226. #2407C22semidirect
227. #2407C22semidirect
230. #2392C22semidirect
231. C2×#398C22semidirect
232. #2369C22semidirect
233. #2368C22semidirect
235. #2365C22semidirect
236. #2365C22semidirect
238. #2364C22semidirect
241. #2363C22semidirect
242. #2362C22semidirect
244. #2360C22semidirect
245. #2360C22semidirect
247. #2359C22semidirect
248. #2359C22semidirect
250. #2355C22semidirect
252. #2354C22semidirect
254. #2352C22semidirect
255. Q8×C4⋊C4C22semidirect
256. Q8×C4⋊C4C22semidirect
260. #2344C22semidirect
262. #2341C22semidirect
263. #2341C22semidirect
264. Q8×C22⋊C4C22semidirect
269. #2331C22semidirect
270. #2329C22semidirect
271. #2327C22semidirect
272. #2325C22semidirect
273. #2323C22semidirect
274. #2322C22semidirect
275. C4×C4⋊Q8C22semidirect
276. C4×#127C22semidirect
279. C4×C22⋊Q8C22semidirect
280. C4×C22⋊Q8C22semidirect
282. C4×#123C22semidirect
287. C4×#121C22semidirect
289. #2295C22semidirect
290. C2×#391C22semidirect
291. C2×#389C22semidirect
292. #2290C22semidirect
294. C2×#387C22semidirect
295. C2×#384C22semidirect
318. D4×Q8D4semidirect
1059. C4×D4#41semidirect

Maximal subgroups

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

subgroupindex
C2×#35202
C2×#34822
#594102
#593122
#590552
#590522
#590482
#590472
#590402
#590222
#451382
#451012
#435282
#434972
#397442
#397432
#391392
#391332
#377732
#377712
#365042
#364832
#362592
#362182
#361792
#361532
#361442
#361342
#360602
#360202
#347272
C2×#24232
#343342
#342892
C4×#5462