Finite Group Databasebeta

← #7691282

Subgroups — #7691282

Order 512.

8149 conjugacy classes of subgroups.

The subgroup lattice has 1960 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3499C211yesmaximal, characteristic, complemented
2C2×#3520C211yesmaximal, characteristic, complemented
3#59809C212yesmaximal, complemented
4#59805C214yesmaximal, complemented
5#59421C211yesmaximal, characteristic, complemented
6#59409C212yesmaximal, complemented
7#59134C211yesmaximal, characteristic, complemented
8#59093C212yesmaximal, complemented
9#59042C211yesmaximal, characteristic, complemented
10#59023C212yesmaximal, complemented
11#45289C212yesmaximal, complemented
12#45114C212yesmaximal, complemented
13#44759C214yesmaximal, complemented
14#44513C214yesmaximal, complemented
15#39471C211yesmaximal, characteristic, complemented
16#39465C212yesmaximal, complemented
17#39439C212yesmaximal, complemented
18#39431C214yesmaximal, complemented
19#38911C211yesmaximal, characteristic, complemented
20#38905C212yesmaximal, complemented
21#36424C212yesmaximal, complemented
22#36303C211yesmaximal, characteristic, complemented
23#36303C211yesmaximal, characteristic, complemented
24#36274C211yesmaximal, characteristic, complemented
25#36218C212yesmaximal, complemented
26#36153C211yesmaximal, characteristic, complemented
27#36147C212yesmaximal, complemented
28#36129C211yesmaximal, characteristic, complemented
29#36078C212yesmaximal, complemented
30#36067C212yesmaximal, complemented
31#34889C211yesmaximal, characteristic, complemented
32C2×#2492C212yesmaximal, complemented
33#34259C212yesmaximal, complemented
34C4×#547C211yesmaximal, characteristic, complemented
35C4×#546C211yesmaximal, characteristic, complemented
36C22×2−1+4C2212yes—
37#3520—216no—
38#3499—216no—
39C2×#556C2211yescharacteristic
40C2×#554C2212yes—
41C2×#552C2212yes—
42C2×#551C2214yes—
43C2×D4×Q8C2211yescharacteristic
44C2×D4×Q8C2211yescharacteristic, complemented
45C2×D4×Q8C2212yescomplemented
46C2×D4×Q8C2211yescharacteristic, complemented
47C2×#548C2212yes—
48C2×#547C2211yescharacteristic
49C2×#547C2211yescharacteristic
50C2×#547C2212yes—
51C2×#547C2211yescharacteristic
52C2×#547C2212yescomplemented
53C2×#547C2212yescomplemented
54C2×#547C2214yescomplemented
55C2×#546C2212yes—
56C2×#546C2211yescharacteristic
57C2×#546C2212yes—
58C2×#542C2212yes—
59C2×#539C2214yes—
60C2×#536C2214yescomplemented
61C2×#536C2212yescomplemented
62C2×#533C2211yescharacteristic
63C2×#532C2211yescharacteristic, complemented
64C2×#532C2212yescomplemented
65C22×C4⋊Q8C2211yescharacteristic, complemented
66C22×C4⋊Q8C2212yescomplemented
67C2×#529C2211yescharacteristic
68C2×#525C2212yes—
69C22×C22⋊Q8C2212yes—
70C2×#520C2212yes—
71C2×C4×#41C2211yescharacteristic
72C2×C4×#41C2212yes—
73C22×C4×D4C2211yescharacteristic
74#2862C2211yescharacteristic, complemented
75#2857C2211yescharacteristic
76#2857C2211yescharacteristic, complemented
77#2855C2212yescomplemented
78#2854C2214yes—
79#2850C2212yes—
80#2850C2212yescomplemented
81#2847C2212yes—
82#2716C2214yescomplemented
83#2716C2214yescomplemented
84#2716C2214yescomplemented
85#2713C2214yescomplemented
86#2713C2214yescomplemented
87#2712C2214yescomplemented
88#2710C2214yescomplemented
89#2703C2214yescomplemented
90#2702C2214yescomplemented
91#2700C2214yescomplemented
92#2700C2214yescomplemented
93#2696C2214yes—
94#2696C2214yescomplemented
95#2693C2214yescomplemented
96#2692C2214yes—
97#2692C2214yescomplemented
98#2690C2214yescomplemented
99#2689C2214yescomplemented
100#2687C2214yes—
101#2687C2214yescomplemented
102#2687C2214yescomplemented
103#2625C2212yescomplemented
104#2623C2214yescomplemented
105#2615C2212yes—
106#2614C2214yes—
107#2582C2211yescharacteristic, complemented
108#2568C2211yescharacteristic, complemented
109#2568C2211yescharacteristic, complemented
110#2560C2214yescomplemented
111#2560C2214yescomplemented
112#2559C2212yescomplemented
113#2558C2214yescomplemented
114#2557C2212yes—
115#2557C2214yescomplemented
116#2557C2214yescomplemented
117#2556C2214yescomplemented
118#2554C2214yescomplemented
119#2550C2212yescomplemented
120#2550C2211yescharacteristic, complemented
121#2550C2212yescomplemented
122#2549C2214yescomplemented
123#2547C2211yescharacteristic
124#2547C2211yescharacteristic, complemented
125#2545C2212yes—
126#2544C2211yescharacteristic, complemented
127#2543C2214yes—
128#2540C2211yescharacteristic
129#2540C2212yescomplemented
130#2537C2211yescharacteristic
131#2536C2212yes—
132#2535C2211yescharacteristic
133#2534C2214yes—
134#2521C2212yescomplemented
135#2503C2212yescomplemented
136#2503C2212yescomplemented
137#2498C2214yescomplemented
138#2492C2212yes—
139#2492C2214yes—
140#2492C2211yescharacteristic
141#2492C2212yes—
142#2492C2214yes—
143#2492C2212yes—
144#2492C2214yescomplemented
145#2492C2212yescomplemented
146#2492C2212yescomplemented
147#2492C2212yescomplemented
148#2492C2212yescomplemented
149#2492C2212yescomplemented
150#2492C2212yescomplemented
151#2492C2212yescomplemented
152#2492C2214yescomplemented
153#2490C2211yescharacteristic, complemented
154#2488C2214yescomplemented
155#2488C2214yescomplemented
156#2488C2214yescomplemented
157#2488C2214yescomplemented
158#2487C2212yescomplemented
159#2486C2212yes—
160#2484C2214yescomplemented
161#2481C2214yescomplemented
162#2477C2214yes—
163#2464C2212yes—
164#2459C2214yes—
165#2459C2214yescomplemented
166#2457C2214yes—
167#2457C2214yescomplemented
168#2451C2212yescomplemented
169#2451C2212yescomplemented
170#2451C2212yescomplemented
171#2450C2214yes—
172#2450C2214yescomplemented
173#2450C2214yescomplemented
174#2447C2212yescomplemented
175#2446C2212yescomplemented
176#2446C2212yescomplemented
177#2444C2214yescomplemented
178#2444C2214yescomplemented
179#2442C2212yescomplemented
180#2439C2212yes—
181#2439C2212yescomplemented
182#2439C2212yescomplemented
183#2439C2212yescomplemented
184#2438C2214yescomplemented
185#2436C2212yes—
186#2436C2212yes—
187#2436C2212yes—
188#2436C2212yescomplemented
189#2431C2212yescomplemented
190#2430C2214yes—
191#2430C2214yes—
192#2430C2214yes—
193#2429C2212yes—
194#2428C2211yescharacteristic
195#2427C2212yes—
196#2427C2212yes—
197#2427C2211yescharacteristic, complemented
198#2427C2212yescomplemented
199#2426C2212yes—
200#2425C2214yes—
201#2425C2214yes—
202#2424C2214yes—
203#2421C2212yescomplemented
204#2421C2212yescomplemented
205#2420C2212yes—
206#2419C2214yescomplemented
207#2419C2214yescomplemented
208#2417C2212yes—
209#2417C2212yes—
210#2417C2212yescomplemented
211#2417C2212yescomplemented
212#2416C2212yes—
213#2415C2212yes—
214#2414C2212yes—
215#2413C2214yes—
216#2412C2214yes—
217#2411C2214yes—
218#2409C2212yes—
219#2409C2212yes—
220#2409C2212yes—
221#2409C2212yescomplemented
222#2407C2212yescomplemented
223#2404C2214yes—
224#2404C2214yes—
225#2404C2214yes—
226#2395C2212yescomplemented
227C2×#400C2214yescomplemented
228#2388C2212yes—
229C2×#393C2214yes—
230#2367C2211yescharacteristic
231#2367C2212yescomplemented
232#2365C2211yescharacteristic, complemented
233#2364C2214yes—
234#2364C2212yes—
235#2363C2211yescharacteristic
236#2363C2212yescomplemented
237#2362C2212yescomplemented
238#2361C2212yescomplemented
239#2360C2211yescharacteristic
240#2360C2212yescomplemented
241#2359C2212yes—
242#2359C2214yescomplemented
243#2358C2212yes—
244#2354C2211yescharacteristic, complemented
245#2352C2212yes—
246#2352C2211yescharacteristic
247#2352C2212yescomplemented
248#2349C2211yescharacteristic
249#2349C2212yes—
250D4×C4⋊C4C2211yescharacteristic
251#2344C2212yescomplemented
252#2342C2212yes—
253Q8×C22⋊C4C2212yescomplemented
254Q8×C22⋊C4C2212yescomplemented
255Q8×C22⋊C4C2212yescomplemented
256Q8×C22⋊C4C2212yescomplemented
257#2339C2212yes—
258#2339C2211yescharacteristic
259#2339C2212yes—
260#2339C2212yes—
261#2339C2212yes—
262#2339C2212yes—
263#2339C2214yescomplemented
264#2339C2212yescomplemented
265#2339C2214yescomplemented
266#2339C2212yescomplemented
267#2339C2214yescomplemented
268#2339C2214yescomplemented
269D4×C22⋊C4C2211yescharacteristic
270#2311C2212yescomplemented
271#2311C2214yescomplemented
272#2310C2214yescomplemented
273#2310C2212yescomplemented
274C4×C4⋊Q8C2211yescharacteristic, complemented
275C4×#124C2211yescharacteristic
276C4×#124C2211yescharacteristic, complemented
277C4×C22⋊Q8C2211yescharacteristic
278C4×C22⋊Q8C2212yescomplemented
279C4×C22⋊Q8C2211yescharacteristic, complemented
280C4×#123C2212yes—
281C4×#123C2214yescomplemented
282C4×#121C2212yes—
283C4×#121C2211yescharacteristic
284C4×#121C2211yescharacteristic
285C4×#121C2212yes—
286C4×#121C2212yescomplemented
287C4×#120C2212yes—
288#2297C2212yescomplemented
289#2297C2214yescomplemented
290C2×#391C2214yescomplemented
291C2×#391C2212yescomplemented
292C2×#391C2212yescomplemented
293C2×#391C2212yescomplemented
294C2×#388C2214yes—
295C2×#380C2212yes—
296C42×D4C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C42×D4C2211yescharacteristic, complemented
299C2×C4×C4⋊C4C2212yescomplemented
300C2×C4×C22⋊C4C2212yes—
301C2×2−1+4—216no—
302C2×2−1+4—216no—
303C2×2−1+4—48no—
304C22×#41C2312yes—
305C22×#41C2312yes—
306C22×#41C2314yes—
307C22×#41C2314yes—
308C22×#41C2314yes—
309C22×#41C2312yes—
310C22×#41C2311yescharacteristic
311C22×#41C2312yes—
312C23×Q8C2314yes—
313C23×Q8C2312yes—
314C23×Q8C2312yes—
315C23×Q8C2312yes—
316C23×Q8C2312yes—
317C23×D4C2311yescharacteristic
318C24×C4C2312yes—
319#556—28no—
320#554—216no—
321#552—216no—
322#551—232no—
323D4×Q8—28no—
324D4×Q8—216no—
325D4×Q8—28no—
326D4×Q8—28no—
327#548—216no—
328#547—216no—
329#547—232no—
330#547—216no—
331#547—28no—
332#547—28no—
333#547—216no—
334#547D4116yescomplemented
335#546—216no—
336#546—28no—
337#546—48no—
338#542—216no—
339#539—232no—
340#536—232no—
341#536—216no—
342#533—28no—
343#532—216no—
344#532—28no—
345C2×C4⋊Q8—28no—
346C2×C4⋊Q8—216no—
347C2×C4⋊Q8C2311yescharacteristic
348C2×C4⋊Q8C2311yescharacteristic
349C2×C4⋊Q8C2312yes—
350C2×C4⋊Q8C2311yescharacteristic
351C2×C4⋊Q8C2312yes—
352C2×C4⋊Q8C2314yes—
353C2×C4⋊Q8C2312yes—
354C2×C4⋊Q8C2312yes—
355C2×C4⋊Q8C2314yes—
356C2×C4⋊Q8C2312yes—
357C2×C4⋊Q8C2312yes—
358C2×C4⋊Q8C2311yescharacteristic
359C2×#127C2311yescharacteristic
360#529—28no—
361C2×#126C2314yes—
362C2×#126C2314yes—
363C2×#126C2312yes—
364C2×#125C2311yescharacteristic
365C2×#125C2312yes—
366C2×#125C2314yes—
367C2×#124C2311yescharacteristic
368C2×#124C2311yescharacteristic
369C2×#124C2314yes—
370C2×#124C2312yes—
371C2×#124C2312yes—
372C2×#124C2314yes—
373C2×#124C2312yes—
374C2×#124C2312yes—
375C2×#124C2311yescharacteristic
376#525—216no—
377C2×#123C2314yes—
378C2×#123C2314yes—
379C2×#123C2312yes—
380C2×#123C2314yes—
381C2×#123C2314yes—
382C2×#123C2312yes—
383C2×#123C2314yes—
384C2×#123C2314yes—
385C2×#123C2314yes—
386C2×#123C2314yes—
387C2×#123C2314yes—
388C2×#123C2314yes—
389C2×C22⋊Q8—216no—
390C2×C22⋊Q8C2314yes—
391C2×C22⋊Q8C2314yes—
392C2×C22⋊Q8C2312yes—
393C2×C22⋊Q8C2312yes—
394C2×C22⋊Q8C2311yescharacteristic
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2311yescharacteristic
397C2×C22⋊Q8C2312yes—
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2314yes—
400C2×C22⋊Q8C2314yes—
401C2×C22⋊Q8C2312yes—
402C2×C22⋊Q8C2312yes—
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2314yes—
405C2×C22⋊Q8C2314yes—
406C2×C22⋊Q8C2314yes—
407C2×C22⋊Q8C2314yes—
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2312yes—
410C2×C22⋊Q8C2311yescharacteristic
411C2×C22⋊Q8C2312yes—
412C2×#121C2312yes—
413C2×#121C2312yes—
414C2×#121C2311yescharacteristic
415C2×#121C2312yes—
416C2×#121C2312yes—
417C2×#121C2311yescharacteristic
418C2×#121C2311yescharacteristic
419C2×#121C2314yes—
420C2×#121C2312yes—
421C2×#121C2311yescharacteristic
422C2×#121C2314yes—
423C2×#121C2311yescharacteristic
424C2×#121C2312yes—
425C2×#121C2314yes—
426C2×#121C2312yes—
427C2×#121C2312yes—
428C2×#120C2312yes—
429C2×#120C2314yes—
430C2×#120C2314yes—
431#520—216no—
432C4×#41—28no—
433C4×#41—48no—
434C2×C4×Q8C2311yescharacteristic
435C2×C4×Q8C2311yescharacteristic
436C2×C4×Q8C2312yes—
437C2×C4×Q8C2312yes—
438C2×C4×Q8C2311yescharacteristic
439C2×C4×Q8C2312yes—
440C2×C4×Q8C2312yes—
441C2×C4×Q8C2312yes—
442C2×C4×D4—28no—
443C2×C4×D4C2311yescharacteristic
444C2×C4×D4C2311yescharacteristic
445C2×C4×D4C2311yescharacteristic
446C2×C4×D4C2312yes—
447C2×C4×D4C2311yescharacteristic
448C2×C4×D4C2312yes—
449C2×C4×D4C2314yes—
450C2×C4×D4C2314yes—
451C2×C4×D4C2312yes—
452C2×C4×D4C2311yescharacteristic
453C2×C4×D4C2311yescharacteristic
454C2×C4×D4C2312yes—
455C2×C4×D4C2312yes—
456C2×C4×D4C2311yescharacteristic
457C2×C4×D4C2312yes—
458C2×C4×D4C2314yes—
459C2×C4×D4C2314yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2312yes—
463C2×C4×D4C2311yescharacteristic
464C2×C4×D4C2312yes—
465C2×C4×D4C2311yescharacteristic
466C2×C4×D4C2314yes—
467C2×C4×D4C2311yescharacteristic
468C2×C4×D4C2314yes—
469C2×C4×D4C2311yescharacteristic
470C2×C4×D4C2312yes—
471C2×C4×D4C2312yes—
472C2×C4×D4C2311yescharacteristic
473C2×C4×D4C2311yescharacteristic
474C2×C4×D4C2311yescharacteristic
475C2×#117C2312yes—
476C2×#117C2314yes—
477C2×#117C2312yes—
478C2×#117C2311yescharacteristic
479C2×#117C2312yes—
480C2×#117C2312yes—
481C2×#117C2314yes—
482C2×#117C2312yes—
483C22×C4⋊C4C2314yes—
484C22×C4⋊C4C2312yes—
485C22×C4⋊C4C2311yescharacteristic
486C22×C4⋊C4C2312yes—
487C22×C4⋊C4C2312yes—
488C22×C4⋊C4C2314yes—
489C22×C4⋊C4C2312yes—
490C22×C4⋊C4C2312yes—
491C22×C4⋊C4C2312yes—
492C22×C22⋊C4C2312yes—
493C22×C22⋊C4C2312yes—
494C22×C22⋊C4C2312yes—
495C22×C22⋊C4C2314yes—
496C22×C22⋊C4C2314yes—
497C22×C42C2312yes—
498C22×C42C2311yescharacteristic
499C22×C42C2311yescharacteristic
500C22×C42C2312yes—
501C22×C42C2312yes—
502C22×C42C2314yes—
503#400C2314yes—
504#400C2314yes—
505#400C2314yes—
506#400C2314yes—
507#400C2312yes—
508#400C2314yes—
509#400C2314yes—
510#400C2314yes—
511#400C2314yes—
512#400C2314yes—
513#400C2314yes—
514#400C2314yes—
515#400C2314yes—
516#399C2312yes—
517#399C2314yes—
518#398C2314yes—
519#398C2314yes—
520#398C2314yes—
521#398C2314yes—
522#398C2314yes—
523#398C2312yes—
524#398C2314yes—
525#398C2314yes—
526#398C2314yes—
527#397C2312yes—
528#397C2314yes—
529#397C2314yes—
530#397C2314yes—
531#397C2314yes—
532#397C2312yes—
533#397C2312yes—
534#397C2314yes—
535#397C2314yes—
536#397C2314yes—
537#397C2314yes—
538#396C2314yes—
539#396C2314yes—
540#396C2314yes—
541#396C2314yes—
542#396C2314yes—
543#396C2314yes—
544#395C2312yes—
545#395C2314yes—
546#395C2314yes—
547#395C2314yes—
548#395C2314yes—
549#394C2314yes—
550#394C2314yes—
551#394C2312yes—
552#394C2312yes—
553#394C2312yes—
554#394C2312yes—
555#394C2312yes—
556#394C2314yes—
557#394C2314yes—
558#394C2314yes—
559#394C2314yes—
560#393C2314yes—
561#393C2314yes—
562#393C2314yes—
563#393C2314yes—
564#393C2314yes—
565#393C2312yes—
566#393C2314yes—
567#393C2314yes—
568#393C2314yes—
569#393C2314yes—
570#393C2314yes—
571#393C2314yes—
572#393C2314yes—
573#393C2314yes—
574#392C2314yes—
575#392C2314yes—
576#392C2314yes—
577#392C2312yes—
578#392C2312yes—
579#392C2312yes—
580#392C2314yes—
581#391C2314yes—
582#391C2314yes—
583#391C2312yes—
584#391C2311yescharacteristic
585#391C2312yes—
586#391C2314yes—
587#391C2314yes—
588#391C2314yes—
589#391C2312yes—
590#391C2312yes—
591#391C2312yes—
592#391C2314yes—
593#391C2314yes—
594#391C2314yes—
595#391C2314yes—
596#391C2312yes—
597#391C2312yes—
598#391C2312yes—
599#391C2312yes—
600#391C2312yes—
601#391C2312yes—
602#391C2312yes—
603#391C2312yes—
604#391C2311yescharacteristic
605#391C2312yes—
606#391C2312yes—
607#391C2312yes—
608#391C2314yes—
609#391C2314yes—
610#391C2314yes—
611#391C2312yes—
612#391C2312yes—
613#391C2312yes—
614#391C2311yescharacteristic
615#391C2314yes—
616#391C2314yes—
617#391C2314yes—
618#391C2314yes—
619#391C2314yes—
620#391C2312yes—
621#391C2311yescharacteristic
622#390C2314yes—
623#390C2314yes—
624#390C2314yes—
625#390C2312yes—
626#390C2311yescharacteristic
627#390C2311yescharacteristic
628#390C2311yescharacteristic
629#390C2312yes—
630#390C2312yes—
631#390C2311yescharacteristic
632#390C2312yes—
633#390C2312yes—
634#389C2312yes—
635#389C2312yes—
636#389C2312yes—
637#389C2312yes—
638#389C2314yes—
639#389C2314yes—
640#389C2311yescharacteristic
641#389C2312yes—
642#389C2312yes—
643#389C2312yes—
644#389C2312yes—
645#389C2312yes—
646#389C2312yes—
647#389C2311yescharacteristic
648#389C2311yescharacteristic
649#389C2312yes—
650#389C2312yes—
651#389C2311yescharacteristic
652#388C2312yes—
653#388C2312yes—
654#388C2312yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2312yes—
662#388C2312yes—
663#388C2312yes—
664#388C2312yes—
665#388C2314yes—
666#388C2314yes—
667#388C2312yes—
668#388C2314yes—
669#388C2312yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2312yes—
677#388C2312yes—
678#388C2314yes—
679#388C2314yes—
680#388C2312yes—
681#387C2314yes—
682#387C2314yes—
683#387C2314yes—
684#387C2314yes—
685#387C2314yes—
686#387C2314yes—
687#387C2312yes—
688#387C2314yes—
689#387C2314yes—
690#387C2312yes—
691#387C2314yes—
692#387C2312yes—
693#387C2314yes—
694#387C2314yes—
695#387C2312yes—
696#386C2314yes—
697#386C2314yes—
698#386C2312yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2312yes—
707#386C2312yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2312yes—
713#386C2314yes—
714#386C2314yes—
715#386C2314yes—
716#386C2314yes—
717#386C2314yes—
718#386C2312yes—
719#386C2312yes—
720#386C2312yes—
721#386C2312yes—
722#386C2314yes—
723#386C2314yes—
724#386C2312yes—
725#386C2314yes—
726#386C2314yes—
727#386C2312yes—
728#386C2312yes—
729#386C2314yes—
730#386C2314yes—
731#386C2314yes—
732#386C2314yes—
733#386C2312yes—
734#386C2312yes—
735#386C2312yes—
736#385C2312yes—
737#385C2312yes—
738#385C2314yes—
739#385C2314yes—
740#385C2312yes—
741#385C2312yes—
742#385C2314yes—
743#385C2312yes—
744#385C2314yes—
745#385C2314yes—
746#385C2314yes—
747#385C2314yes—
748#385C2314yes—
749#385C2312yes—
750#384C2311yescharacteristic
751#382C2312yes—
752#382C2312yes—
753#382C2311yescharacteristic
754#382C2312yes—
755#382C2312yes—
756#382C2311yescharacteristic
757#381C2312yes—
758#381C2314yes—
759#381C2314yes—
760#381C2314yes—
761#381C2314yes—
762#381C2314yes—
763#381C2314yes—
764#381C2314yes—
765#381C2314yes—
766#381C2314yes—
767#380C2311yescharacteristic
768#380C2312yes—
769#380C2312yes—
770#380C2312yes—
771#380C2314yes—
772#380C2314yes—
773#380C2314yes—
774#380C2314yes—
775#380C2312yes—
776#380C2312yes—
777#380C2312yes—
778#380C2311yescharacteristic
779#380C2312yes—
780#380C2312yes—
781#380C2312yes—
782#380C2312yes—
783#380C2314yes—
784#380C2312yes—
785#380C2312yes—
786#380C2311yescharacteristic
787#380C2312yes—
788#380C2314yes—
789#380C2312yes—
790#380C2314yes—
791#380C2311yescharacteristic
792#379C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2314yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2311yescharacteristic
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2311yescharacteristic
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2311yescharacteristic
805C4×C4⋊C4C2311yescharacteristic
806C4×C4⋊C4C2312yes—
807C4×C4⋊C4C2311yescharacteristic
808C4×C4⋊C4C2311yescharacteristic
809C4×C4⋊C4C2314yes—
810C4×C22⋊C4C2314yes—
811C4×C22⋊C4C2314yes—
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2311yescharacteristic
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2314yes—
820C4×C22⋊C4C2314yes—
821C4×C22⋊C4C2312yes—
822C4×C22⋊C4C2312yes—
823C4×C22⋊C4C2311yescharacteristic
824C4×C22⋊C4C2312yes—
825C4×C22⋊C4C2312yes—
826C4×C22⋊C4C2312yes—
827C4×C22⋊C4C2312yes—
828C4×C22⋊C4C2312yes—
829C4×C22⋊C4C2312yes—
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2311yescharacteristic
832C4×C22⋊C4C2311yescharacteristic
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2314yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2311yescharacteristic
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2312yes—
839C2×#95C2312yes—
840C2×#95C2314yes—
841C2×#95C2314yes—
842C2×#95C2314yes—
843C2×#95C2314yes—
844C2×#95C2314yes—
845C2×#95C2314yes—
846C2×#95C2314yes—
847C2×#95C2312yes—
848C2×#95C2314yes—
849C43C2311yescharacteristic
850C25C2412yes—
8512−1+4—4128no—
852C2×#41—24no—
853C2×#41—216no—
854C2×#41—28no—
855C2×#41—216no—
856C2×#41—28no—
857C2×#41—28no—
858C2×#41—216no—
859C2×#41—216no—
860C2×#41—28no—
861C2×#41—28no—
862C2×#41—24no—
863C2×#41—28no—
864C2×#41—28no—
865C2×#41—216no—
866C2×#41—28no—
867C2×#41—216no—
868C2×#41—44no—
869C2×#41—48no—
870C2×#41—48no—
871C2×#41—48no—
872C2×#41—44no—
873C2×#41—44no—
874C2×#41C2×D4116yes—
875C2×#41#4118yescomplemented
876C22×Q8—28no—
877C22×Q8—28no—
878C22×Q8—28no—
879C22×Q8—28no—
880C22×Q8—216no—
881C22×Q8—28no—
882C22×Q8—28no—
883C22×Q8—216no—
884C22×Q8—28no—
885C22×Q8—48no—
886C22×Q8—44no—
887C22×Q8—44no—
888C22×Q8—44no—
889C22×Q8—44no—
890C22×Q8—44no—
891C22×Q8C2411yescharacteristic
892C22×Q8C2412yes—
893C22×Q8C2412yes—
894C22×Q8C2414yes—
895C22×Q8C2414yes—
896C22×Q8C2414yes—
897C22×Q8C2412yes—
898C22×Q8C2412yes—
899C22×Q8C2411yescharacteristic
900C22×Q8C2414yes—
901C22×D4—24no—
902C22×D4—24no—
903C22×D4—24no—
904C22×D4C2411yescharacteristic
905C22×D4C2412yes—
906C22×D4C2411yescharacteristic
907C22×D4C2414yes—
908C22×D4C2412yes—
909C22×D4C2411yescharacteristic
910C22×D4C2412yes—
911C22×D4C2412yes—
912C22×D4C2412yes—
913C22×D4C2412yes—
914C22×D4C2411yescharacteristic
915C22×D4C2414yes—
916C22×D4C2412yes—
917C22×D4C2412yes—
918C22×D4C2412yes—
919C22×D4C2414yes—
920C22×D4C2414yes—
921C22×D4C2411yescharacteristic
922C23×C4—28no—
923C23×C4—44no—
924C23×C4—44no—
925C23×C4C2414yes—
926C23×C4C2411yescharacteristic
927C23×C4C2411yescharacteristic
928C23×C4C2412yes—
929C23×C4C2412yes—
930C23×C4C2411yescharacteristic
931C23×C4C2411yescharacteristic
932C23×C4C2412yes—
933C23×C4C2412yes—
934C23×C4C2411yescharacteristic
935C23×C4C2414yes—
936C23×C4C2414yes—
937C23×C4C2414yes—
938C23×C4C2414yes—
939C23×C4C2412yes—
940C23×C4C2412yes—
941C23×C4C2412yes—
942C23×C4C2411yescharacteristic
943C23×C4C2414yes—
944C23×C4C2414yes—
945C23×C4C2412yes—
946C23×C4C2412yes—
947C23×C4C2412yes—
948C23×C4C2414yes—
949C23×C4C2412yes—
950C23×C4C2412yes—
951C23×C4C2412yes—
952C4⋊Q8—28no—
953C4⋊Q8—28no—
954C4⋊Q8—24no—
955C4⋊Q8—28no—
956C4⋊Q8—216no—
957C4⋊Q8—216no—
958C4⋊Q8—28no—
959C4⋊Q8—28no—
960C4⋊Q8—28no—
961C4⋊Q8—24no—
962C4⋊Q8—24no—
963C4⋊Q8C2×D418yes—
964#127—24no—
965#126—216no—
966#126—216no—
967#126—28no—
968#125—24no—
969#125—28no—
970#125—216no—
971#124—28no—
972#124—24no—
973#124—24no—
974#124—216no—
975#124—28no—
976#124—216no—
977#124—44no—
978#124—42no—
979#124—44no—
980#123—216no—
981#123—216no—
982#123—216no—
983#123—28no—
984#123—216no—
985#123—216no—
986#123—28no—
987#123—216no—
988#123—216no—
989#123—216no—
990#123—48no—
991#123C2×D4132yes—
992C22⋊Q8—28no—
993C22⋊Q8—28no—
994C22⋊Q8—24no—
995C22⋊Q8—28no—
996C22⋊Q8—28no—
997C22⋊Q8—24no—
998C22⋊Q8—28no—
999C22⋊Q8—216no—
1000C22⋊Q8—28no—
1001C22⋊Q8—28no—
1002C22⋊Q8—216no—
1003C22⋊Q8—28no—
1004C22⋊Q8—216no—
1005C22⋊Q8—216no—
1006C22⋊Q8—216no—
1007C22⋊Q8—216no—
1008C22⋊Q8—216no—
1009C22⋊Q8—216no—
1010C22⋊Q8—44no—
1011C22⋊Q8—42no—
1012C22⋊Q8—44no—
1013C22⋊Q8C2×D4116yes—
1014#121—24no—
1015#121—24no—
1016#121—216no—
1017#121—216no—
1018#121—28no—
1019#121—28no—
1020#121—28no—
1021#121—24no—
1022#121—24no—
1023#121—28no—
1024#121—28no—
1025#121—44no—
1026#121—42no—
1027#121—44no—
1028#121—48no—
1029#121C2×D4116yes—
1030#120—216no—
1031#120—28no—
1032#120—48no—
1033C4×Q8—28no—
1034C4×Q8—28no—
1035C4×Q8—24no—
1036C4×Q8—28no—
1037C4×Q8—24no—
1038C4×Q8—24no—
1039C4×Q8—44no—
1040C4×Q8—44no—
1041C4×D4—24no—
1042C4×D4—24no—
1043C4×D4—216no—
1044C4×D4—28no—
1045C4×D4—216no—
1046C4×D4—28no—
1047C4×D4—24no—
1048C4×D4—24no—
1049C4×D4—28no—
1050C4×D4—28no—
1051C4×D4—28no—
1052C4×D4—28no—
1053C4×D4—28no—
1054C4×D4—24no—
1055C4×D4—24no—
1056C4×D4—28no—
1057C4×D4—28no—
1058C4×D4—28no—
1059C4×D4—216no—
1060C4×D4—216no—
1061C4×D4—24no—
1062C4×D4—24no—
1063C4×D4—24no—
1064C4×D4—42no—
1065C4×D4—42no—
1066C4×D4—44no—
1067C4×D4—42no—
1068C4×D4—44no—
1069C4×D4—48no—
1070C4×D4—48no—
1071C4×D4C2×D418yes—
1072C4×D4C2×D418yes—
1073#117—28no—
1074#117—216no—
1075#117—24no—
1076#117—28no—
1077#117—28no—
1078#117—28no—
1079#117—48no—
1080#117—44no—
1081C2×C4⋊C4—216no—
1082C2×C4⋊C4—28no—
1083C2×C4⋊C4—216no—
1084C2×C4⋊C4—28no—
1085C2×C4⋊C4—24no—
1086C2×C4⋊C4—28no—
1087C2×C4⋊C4—28no—
1088C2×C4⋊C4—44no—
1089C2×C4⋊C4C2×D4116yes—
1090C2×C4⋊C4C2411yescharacteristic
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2414yes—
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2411yescharacteristic
1095C2×C4⋊C4C2414yes—
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2411yescharacteristic
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2414yes—
1101C2×C4⋊C4C2414yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2414yes—
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2414yes—
1106C2×C4⋊C4C2414yes—
1107C2×C4⋊C4C2414yes—
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2411yescharacteristic
1110C2×C4⋊C4C2411yescharacteristic
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2411yescharacteristic
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2411yescharacteristic
1117C2×C4⋊C4C2411yescharacteristic
1118C2×C4⋊C4C2414yes—
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2411yescharacteristic
1121C2×C4⋊C4C2411yescharacteristic
1122C2×C4⋊C4C2414yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2414yes—
1127C2×C4⋊C4C2414yes—
1128C2×C4⋊C4C2414yes—
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2411yescharacteristic
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2414yes—
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2414yes—
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2414yes—
1138C2×C4⋊C4C2412yes—
1139C2×C4⋊C4C2411yescharacteristic
1140C2×C4⋊C4C2411yescharacteristic
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2414yes—
1143C2×C22⋊C4—216no—
1144C2×C22⋊C4—28no—
1145C2×C22⋊C4—28no—
1146C2×C22⋊C4—28no—
1147C2×C22⋊C4—48no—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2411yescharacteristic
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2411yescharacteristic
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2414yes—
1175C2×C22⋊C4C2414yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2414yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2411yescharacteristic
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2414yes—
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2411yescharacteristic
1189C2×C22⋊C4C2411yescharacteristic
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2414yes—
1195C2×C22⋊C4C2414yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2414yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2414yes—
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2412yes—
1206C2×C22⋊C4C2414yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2414yes—
1210C2×C22⋊C4C2412yes—
1211C2×C22⋊C4C2411yescharacteristic
1212C2×C42—28no—
1213C2×C42—24no—
1214C2×C42—24no—
1215C2×C42—44no—
1216C2×C42—44no—
1217C2×C42—48no—
1218C2×C42C2411yescharacteristic
1219C2×C42C2414yes—
1220C2×C42C2414yes—
1221C2×C42C2412yes—
1222C2×C42C2411yescharacteristic
1223C2×C42C2412yes—
1224C2×C42C2412yes—
1225C2×C42C2412yes—
1226C2×C42C2411yescharacteristic
1227C2×C42C2411yescharacteristic
1228C2×C42C2412yes—
1229C2×C42C2411yescharacteristic
1230C2×C42C2411yescharacteristic
1231C2×C42C2411yescharacteristic
1232C2×C42C2411yescharacteristic
1233C2×C42C2412yes—
1234C2×C42C2411yescharacteristic
1235C2×C42C2411yescharacteristic
1236C2×C42C2411yescharacteristic
1237C2×C42C2412yes—
1238C2×C42C2414yes—
1239C2×C42C2414yes—
1240C2×C42C2414yes—
1241C2×C42C2411yescharacteristic
1242C2×C42C2412yes—
1243C2×C42C2412yes—
1244C2×C42C2412yes—
1245C2×C42C2411yescharacteristic
1246#95C2412yes—
1247#95C2411yescharacteristic
1248#95C2411yescharacteristic
1249#95C2412yes—
1250#95C2412yes—
1251#95C2412yes—
1252#95C2414yes—
1253#95C2412yes—
1254#95C2414yes—
1255#95C2414yes—
1256#95C2412yes—
1257#95C2412yes—
1258#95C2412yes—
1259#95C2412yes—
1260#95C2412yes—
1261#95C2412yes—
1262#95C2412yes—
1263#95C2412yes—
1264#95C2414yes—
1265#95C2414yes—
1266#95C2414yes—
1267#95C2414yes—
1268#95C2414yes—
1269#95C2414yes—
1270#95C2414yes—
1271#95C2414yes—
1272#95C2414yes—
1273#95C2414yes—
1274#95C2414yes—
1275#95C2414yes—
1276#95C2414yes—
1277#95C2414yes—
1278#95C2414yes—
1279#95C2414yes—
1280#95C2414yes—
1281#95C2414yes—
1282#95C2411yescharacteristic
1283#95C2411yescharacteristic
1284#95C2412yes—
1285#95C2411yescharacteristic
1286#95C2412yes—
1287#95C2412yes—
1288#95C2412yes—
1289#95C2412yes—
1290#95C2412yes—
1291#95C2411yescharacteristic
1292#95C2414yes—
1293#95C2414yes—
1294#95C2412yes—
1295#95C2412yes—
1296#95C2414yes—
1297#95C2412yes—
1298#95C2414yes—
1299#95C2412yes—
1300#95C2412yes—
1301#95C2414yes—
1302#95C2412yes—
1303#95C2412yes—
1304#95C2414yes—
1305#95C2414yes—
1306#95C2414yes—
1307#95C2414yes—
1308C24—24no—
1309C24—24no—
1310C24—24no—
1311C24—24no—
1312C24—42no—
1313C24—42no—
1314C24—42no—
1315C24C2512yes—
1316C24C2512yes—
1317C24C2512yes—
1318C24C2511yescharacteristic
1319C24C2511yescharacteristic
1320C24C2512yes—
1321#41—264no—
1322#41—232no—
1323#41—432no—
1324#41—464no—
1325#41—464no—
1326#41—464no—
1327#41—432no—
1328#41—816no—
1329C2×Q8—22no—
1330C2×Q8—22no—
1331C2×Q8—24no—
1332C2×Q8—28no—
1333C2×Q8—28no—
1334C2×Q8—24no—
1335C2×Q8—28no—
1336C2×Q8—24no—
1337C2×Q8—28no—
1338C2×Q8—24no—
1339C2×Q8—28no—
1340C2×Q8—28no—
1341C2×Q8—24no—
1342C2×Q8—28no—
1343C2×Q8—24no—
1344C2×Q8—24no—
1345C2×Q8—22no—
1346C2×Q8—24no—
1347C2×Q8—22no—
1348C2×Q8—24no—
1349C2×Q8—22no—
1350C2×Q8—24no—
1351C2×Q8—42no—
1352C2×Q8—44no—
1353C2×Q8—44no—
1354C2×Q8—44no—
1355C2×Q8—44no—
1356C2×Q8—44no—
1357C2×Q8—464no—
1358C2×Q8—432no—
1359C2×Q8—432no—
1360C2×Q8—432no—
1361C2×Q8—816no—
1362C2×Q8C22×D418yes—
1363C2×Q8C2×#4114yes—
1364C2×D4—24no—
1365C2×D4—28no—
1366C2×D4—28no—
1367C2×D4—24no—
1368C2×D4—24no—
1369C2×D4—24no—
1370C2×D4—24no—
1371C2×D4—24no—
1372C2×D4—28no—
1373C2×D4—24no—
1374C2×D4—22no—
1375C2×D4—24no—
1376C2×D4—24no—
1377C2×D4—24no—
1378C2×D4—28no—
1379C2×D4—28no—
1380C2×D4—24no—
1381C2×D4—22no—
1382C2×D4—24no—
1383C2×D4—28no—
1384C2×D4—24no—
1385C2×D4—24no—
1386C2×D4—22no—
1387C2×D4—22no—
1388C2×D4—24no—
1389C2×D4—22no—
1390C2×D4—24no—
1391C2×D4—22no—
1392C2×D4—24no—
1393C2×D4—22no—
1394C2×D4—22no—
1395C2×D4—22no—
1396C2×D4—22no—
1397C2×D4—41no—
1398C2×D4—42no—
1399C2×D4—42no—
1400C2×D4—42no—
1401C2×D4—42no—
1402C2×D4—42no—
1403C2×D4—42no—
1404C2×D4—42no—
1405C2×D4—42no—
1406C2×D4—42no—
1407C2×D4—44no—
1408C2×D4—44no—
1409C2×D4—44no—
1410C2×D4—44no—
1411C2×D4—44no—
1412C2×D4—416no—
1413C2×D4C22×D414yes—
1414C2×D4C22×D4116yes—
1415C2×D4C22×D414yes—
1416C2×D4C2×#4118yes—
1417C2×D4C2×#4114yes—
1418C2×D4H(5,𝔽2)14yes—
1419C22×C4—24no—
1420C22×C4—28no—
1421C22×C4—28no—
1422C22×C4—24no—
1423C22×C4—22no—
1424C22×C4—24no—
1425C22×C4—24no—
1426C22×C4—22no—
1427C22×C4—24no—
1428C22×C4—24no—
1429C22×C4—24no—
1430C22×C4—28no—
1431C22×C4—28no—
1432C22×C4—28no—
1433C22×C4—28no—
1434C22×C4—24no—
1435C22×C4—28no—
1436C22×C4—22no—
1437C22×C4—28no—
1438C22×C4—24no—
1439C22×C4—28no—
1440C22×C4—24no—
1441C22×C4—28no—
1442C22×C4—22no—
1443C22×C4—22no—
1444C22×C4—22no—
1445C22×C4—22no—
1446C22×C4—22no—
1447C22×C4—28no—
1448C22×C4—24no—
1449C22×C4—28no—
1450C22×C4—24no—
1451C22×C4—22no—
1452C22×C4—28no—
1453C22×C4—28no—
1454C22×C4—24no—
1455C22×C4—22no—
1456C22×C4—24no—
1457C22×C4—24no—
1458C22×C4—24no—
1459C22×C4—22no—
1460C22×C4—22no—
1461C22×C4—22no—
1462C22×C4—22no—
1463C22×C4—24no—
1464C22×C4—22no—
1465C22×C4—24no—
1466C22×C4—24no—
1467C22×C4—24no—
1468C22×C4—24no—
1469C22×C4—42no—
1470C22×C4—41no—
1471C22×C4—41no—
1472C22×C4—42no—
1473C22×C4—44no—
1474C22×C4—44no—
1475C22×C4—44no—
1476C22×C4—42no—
1477C22×C4—42no—
1478C22×C4—42no—
1479C22×C4—44no—
1480C22×C4—42no—
1481C22×C4—42no—
1482C22×C4—42no—
1483C22×C4—42no—
1484C22×C4—42no—
1485C22×C4—42no—
1486C22×C4—42no—
1487C22×C4—42no—
1488C22×C4—42no—
1489C22×C4—42no—
1490C22×C4—44no—
1491C22×C4—44no—
1492C22×C4—44no—
1493C22×C4—44no—
1494C22×C4—44no—
1495C22×C4—816no—
1496C22×C4C22×D418yes—
1497C22×C4C22×D4116yes—
1498C22×C4C22×D418yes—
1499C22×C4C2×#4118yes—
1500C22×C4C2×#4114yes—
1501C22×C4C2511yescharacteristic
1502C22×C4C2511yescharacteristic
1503C22×C4C2512yes—
1504C22×C4C2512yes—
1505C22×C4C2512yes—
1506C22×C4C2512yes—
1507C22×C4C2511yescharacteristic
1508C22×C4C2514yes—
1509C22×C4C2512yes—
1510C22×C4C2511yescharacteristic
1511C22×C4C2512yes—
1512C22×C4C2514yes—
1513C22×C4C2512yes—
1514C22×C4C2514yes—
1515C22×C4C2511yescharacteristic
1516C22×C4C2512yes—
1517C22×C4C2512yes—
1518C22×C4C2511yescharacteristic
1519C22×C4C2511yescharacteristic
1520C22×C4C2511yescharacteristic
1521C22×C4C2512yes—
1522C22×C4C2512yes—
1523C22×C4C2514yes—
1524C22×C4C2511yescharacteristic
1525C22×C4C2512yes—
1526C22×C4C2511yescharacteristic
1527C22×C4C2511yescharacteristic
1528C22×C4C2511yescharacteristic
1529C22×C4C2511yescharacteristic
1530C4⋊C4—22no—
1531C4⋊C4—24no—
1532C4⋊C4—28no—
1533C4⋊C4—28no—
1534C4⋊C4—24no—
1535C4⋊C4—22no—
1536C4⋊C4—24no—
1537C4⋊C4—24no—
1538C4⋊C4—24no—
1539C4⋊C4—28no—
1540C4⋊C4—28no—
1541C4⋊C4—28no—
1542C4⋊C4—28no—
1543C4⋊C4—28no—
1544C4⋊C4—24no—
1545C4⋊C4—28no—
1546C4⋊C4—24no—
1547C4⋊C4—22no—
1548C4⋊C4—24no—
1549C4⋊C4—24no—
1550C4⋊C4—22no—
1551C4⋊C4—24no—
1552C4⋊C4—28no—
1553C4⋊C4—24no—
1554C4⋊C4—28no—
1555C4⋊C4—24no—
1556C4⋊C4—22no—
1557C4⋊C4—22no—
1558C4⋊C4—24no—
1559C4⋊C4—22no—
1560C4⋊C4—24no—
1561C4⋊C4—22no—
1562C4⋊C4—24no—
1563C4⋊C4—22no—
1564C4⋊C4—24no—
1565C4⋊C4—22no—
1566C4⋊C4—44no—
1567C4⋊C4—42no—
1568C4⋊C4—42no—
1569C4⋊C4—44no—
1570C4⋊C4—44no—
1571C4⋊C4—44no—
1572C4⋊C4—42no—
1573C4⋊C4—41no—
1574C4⋊C4—42no—
1575C4⋊C4—44no—
1576C4⋊C4—42no—
1577C4⋊C4—44no—
1578C4⋊C4C22×D418yes—
1579C4⋊C4C22×D414yes—
1580C4⋊C4C22×D418yes—
1581C4⋊C4C22×D414yes—
1582C4⋊C4C22×D4116yes—
1583C22⋊C4—24no—
1584C22⋊C4—28no—
1585C22⋊C4—24no—
1586C22⋊C4—24no—
1587C22⋊C4—24no—
1588C22⋊C4—24no—
1589C22⋊C4—24no—
1590C22⋊C4—28no—
1591C22⋊C4—24no—
1592C22⋊C4—22no—
1593C22⋊C4—24no—
1594C22⋊C4—28no—
1595C22⋊C4—24no—
1596C22⋊C4—24no—
1597C22⋊C4—28no—
1598C22⋊C4—24no—
1599C22⋊C4—24no—
1600C22⋊C4—28no—
1601C22⋊C4—28no—
1602C22⋊C4—24no—
1603C22⋊C4—28no—
1604C22⋊C4—28no—
1605C22⋊C4—24no—
1606C22⋊C4—24no—
1607C22⋊C4—28no—
1608C22⋊C4—22no—
1609C22⋊C4—24no—
1610C22⋊C4—24no—
1611C22⋊C4—24no—
1612C22⋊C4—24no—
1613C22⋊C4—24no—
1614C22⋊C4—24no—
1615C22⋊C4—22no—
1616C22⋊C4—24no—
1617C22⋊C4—42no—
1618C22⋊C4—44no—
1619C22⋊C4—44no—
1620C22⋊C4—44no—
1621C22⋊C4—42no—
1622C22⋊C4—42no—
1623C22⋊C4—42no—
1624C22⋊C4—42no—
1625C22⋊C4—44no—
1626C22⋊C4—44no—
1627C22⋊C4—42no—
1628C22⋊C4—42no—
1629C22⋊C4—42no—
1630C22⋊C4—42no—
1631C22⋊C4—41no—
1632C22⋊C4—41no—
1633C22⋊C4—42no—
1634C22⋊C4—44no—
1635C22⋊C4—42no—
1636C22⋊C4—44no—
1637C22⋊C4—42no—
1638C22⋊C4—44no—
1639C22⋊C4—44no—
1640C22⋊C4—44no—
1641C22⋊C4—42no—
1642C22⋊C4—42no—
1643C22⋊C4C22×D418yes—
1644C22⋊C4C22×D4116yes—
1645C22⋊C4C22×D418yes—
1646C22⋊C42−1+414yescomplemented
1647C42—22no—
1648C42—22no—
1649C42—22no—
1650C42—24no—
1651C42—24no—
1652C42—22no—
1653C42—24no—
1654C42—22no—
1655C42—22no—
1656C42—28no—
1657C42—28no—
1658C42—24no—
1659C42—22no—
1660C42—22no—
1661C42—24no—
1662C42—22no—
1663C42—22no—
1664C42—24no—
1665C42—22no—
1666C42—42no—
1667C42—42no—
1668C42—42no—
1669C42—42no—
1670C42—44no—
1671C42—44no—
1672C42—44no—
1673C42—41no—
1674C42C22×D414yes—
1675C23—22no—
1676C23—22no—
1677C23—22no—
1678C23—22no—
1679C23—21no—
1680C23—21no—
1681C23—21no—
1682C23—22no—
1683C23—21no—
1684C23—22no—
1685C23—21no—
1686C23—21no—
1687C23—22no—
1688C23—21no—
1689C23—21no—
1690C23—21no—
1691C23—22no—
1692C23—22no—
1693C23—21no—
1694C23—21no—
1695C23—22no—
1696C23—21no—
1697C23—22no—
1698C23—22no—
1699C23—22no—
1700C23—22no—
1701C23—22no—
1702C23—22no—
1703C23—22no—
1704C23—22no—
1705C23—22no—
1706C23—22no—
1707C23—22no—
1708C23—22no—
1709C23—22no—
1710C23—22no—
1711C23—48no—
1712C23—48no—
1713C23—48no—
1714C23—48no—
1715C23—84no—
1716C23—84no—
1717C23—84no—
1718C23C23×D414yes—
1719C23C23×D414yes—
1720C23C22×#4112yes—
1721C23C22×#4114yes—
1722C23C2×H(5,𝔽2)14yes—
1723C23C2×2−1+412yes—
1724C23C2611yescharacteristic
1725Q8—28no—
1726Q8—216no—
1727Q8—48no—
1728Q8—416no—
1729Q8—416no—
1730Q8—416no—
1731Q8—48no—
1732Q8—44no—
1733Q8—48no—
1734Q8—88no—
1735D4—232no—
1736D4—216no—
1737D4—28no—
1738D4—48no—
1739D4—48no—
1740D4—48no—
1741D4—48no—
1742D4—44no—
1743D4—48no—
1744D4—48no—
1745D4—416no—
1746D4—44no—
1747D4—44no—
1748D4—84no—
1749D4—84no—
1750D4—88no—
1751D4—164no—
1752D4#546116yes—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—22no—
1756C2×C4—22no—
1757C2×C4—24no—
1758C2×C4—21no—
1759C2×C4—22no—
1760C2×C4—24no—
1761C2×C4—21no—
1762C2×C4—22no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—22no—
1766C2×C4—22no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—232no—
1770C2×C4—216no—
1771C2×C4—216no—
1772C2×C4—28no—
1773C2×C4—216no—
1774C2×C4—21no—
1775C2×C4—22no—
1776C2×C4—22no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—21no—
1780C2×C4—22no—
1781C2×C4—22no—
1782C2×C4—24no—
1783C2×C4—22no—
1784C2×C4—24no—
1785C2×C4—21no—
1786C2×C4—21no—
1787C2×C4—22no—
1788C2×C4—21no—
1789C2×C4—22no—
1790C2×C4—24no—
1791C2×C4—22no—
1792C2×C4—21no—
1793C2×C4—22no—
1794C2×C4—22no—
1795C2×C4—24no—
1796C2×C4—22no—
1797C2×C4—24no—
1798C2×C4—21no—
1799C2×C4—21no—
1800C2×C4—22no—
1801C2×C4—22no—
1802C2×C4—21no—
1803C2×C4—22no—
1804C2×C4—22no—
1805C2×C4—21no—
1806C2×C4—22no—
1807C2×C4—22no—
1808C2×C4—21no—
1809C2×C4—21no—
1810C2×C4—22no—
1811C2×C4—24no—
1812C2×C4—21no—
1813C2×C4—21no—
1814C2×C4—22no—
1815C2×C4—24no—
1816C2×C4—22no—
1817C2×C4—22no—
1818C2×C4—21no—
1819C2×C4—22no—
1820C2×C4—21no—
1821C2×C4—24no—
1822C2×C4—22no—
1823C2×C4—21no—
1824C2×C4—21no—
1825C2×C4—21no—
1826C2×C4—22no—
1827C2×C4—22no—
1828C2×C4—22no—
1829C2×C4—22no—
1830C2×C4—24no—
1831C2×C4—44no—
1832C2×C4—416no—
1833C2×C4—48no—
1834C2×C4—44no—
1835C2×C4—48no—
1836C2×C4—416no—
1837C2×C4—416no—
1838C2×C4—416no—
1839C2×C4—44no—
1840C2×C4—48no—
1841C2×C4—44no—
1842C2×C4—44no—
1843C2×C4—48no—
1844C2×C4—84no—
1845C2×C4—84no—
1846C2×C4—84no—
1847C2×C4—84no—
1848C2×C4—88no—
1849C2×C4—84no—
1850C2×C4—88no—
1851C2×C4—88no—
1852C2×C4—84no—
1853C2×C4C23×D412yes—
1854C2×C4C23×D414yes—
1855C2×C4C23×D418yes—
1856C2×C4C23×D414yes—
1857C2×C4C23×D412yes—
1858C2×C4C23×D412yes—
1859C2×C4C22×#4114yes—
1860C2×C4C22×#4112yes—
1861C2×C4C22×#4112yes—
1862C2×C4C2×H(5,𝔽2)12yes—
1863C2×C4C2×2−1+412yes—
1864C2×C4C2×2−1+412yes—
1865C2×C4#58512yes—
1866C2×C4#58512yes—
1867C22—24no—
1868C22—24no—
1869C22—24no—
1870C22—24no—
1871C22—24no—
1872C22—24no—
1873C22—22no—
1874C22—22no—
1875C22—24no—
1876C22—22no—
1877C22—22no—
1878C22—22no—
1879C22—24no—
1880C22—22no—
1881C22—24no—
1882C22—42no—
1883C22—41no—
1884C22—41no—
1885C22—42no—
1886C22—41no—
1887C22—42no—
1888C22—41no—
1889C22—41no—
1890C22—42no—
1891C22—41no—
1892C22—41no—
1893C22—41no—
1894C22—42no—
1895C22—42no—
1896C22—42no—
1897C22—42no—
1898C22—42no—
1899C22—42no—
1900C22—42no—
1901C22—42no—
1902C22—42no—
1903C22—42no—
1904C22—42no—
1905C22—42no—
1906C22—42no—
1907C22—42no—
1908C22—816no—
1909C22C2×#54618yes—
1910C22C24×D411yescharacteristic
1911C22C23×#4111yescharacteristic
1912C22C22×H(5,𝔽2)11yescharacteristic
1913C22C22×2−1+411yescharacteristic
1914C22C2×#58511yescharacteristic
1915C22C2×#58511yescharacteristic
1916C222−1+611yescharacteristic
1917C4—22no—
1918C4—22no—
1919C4—22no—
1920C4—24no—
1921C4—24no—
1922C4—22no—
1923C4—24no—
1924C4—28no—
1925C4—41no—
1926C4—42no—
1927C4—41no—
1928C4—42no—
1929C4—42no—
1930C4—42no—
1931C4—42no—
1932C4—41no—
1933C4—41no—
1934C4—41no—
1935C4—42no—
1936C4—44no—
1937C4—42no—
1938C4—41no—
1939C4—42no—
1940C4—44no—
1941C4—42no—
1942C4—44no—
1943C4—41no—
1944C4C2×#54614yes—
1945C4#350014yes—
1946C2—28no—
1947C2—42no—
1948C2—44no—
1949C2—42no—
1950C2—82no—
1951C2—82no—
1952C2C22×#54611yescharacteristic
1953C2#6280511yescharacteristic
1954C2C2×#350011yescharacteristic
1955C2#6292111yescharacteristic
1956C2#6299511yescharacteristic
1957C2D4×2−1+411yescharacteristic
1958C2#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×#3499C2semidirect
2. C2×#3520C2semidirect
3. #59809C2semidirect
4. #59805C2semidirect
5. #59421C2semidirect
6. #59409C2semidirect
7. #59134C2semidirect
8. #59093C2semidirect
9. #59042C2semidirect
10. #59023C2semidirect
11. #45289C2semidirect
12. #45114C2semidirect
13. #44759C2semidirect
14. #44513C2semidirect
15. #39471C2semidirect
16. #39465C2semidirect
17. #39439C2semidirect
18. #39431C2semidirect
19. #38911C2semidirect
20. #38905C2semidirect
21. #36424C2semidirect
22. #36303C2semidirect
23. #36303C2semidirect
24. #36274C2semidirect
25. #36218C2semidirect
26. #36153C2semidirect
27. #36147C2semidirect
28. #36129C2semidirect
29. #36078C2semidirect
30. #36067C2semidirect
31. #34889C2semidirect
32. C2×#2492C2semidirect
33. #34259C2semidirect
34. C4×#547C2semidirect
35. C4×#546C2semidirect
44. C2×D4×Q8C22semidirect
45. C2×D4×Q8C22semidirect
46. C2×D4×Q8C22semidirect
52. C2×#547C22semidirect
53. C2×#547C22semidirect
54. C2×#547C22semidirect
60. C2×#536C22semidirect
61. C2×#536C22semidirect
63. C2×#532C22semidirect
64. C2×#532C22semidirect
65. C22×C4⋊Q8C22semidirect
66. C22×C4⋊Q8C22semidirect
74. #2862C22semidirect
76. #2857C22semidirect
77. #2855C22semidirect
80. #2850C22semidirect
82. #2716C22semidirect
83. #2716C22semidirect
84. #2716C22semidirect
85. #2713C22semidirect
86. #2713C22semidirect
87. #2712C22semidirect
88. #2710C22semidirect
89. #2703C22semidirect
90. #2702C22semidirect
91. #2700C22semidirect
92. #2700C22semidirect
94. #2696C22semidirect
95. #2693C22semidirect
97. #2692C22semidirect
98. #2690C22semidirect
99. #2689C22semidirect
101. #2687C22semidirect
102. #2687C22semidirect
103. #2625C22semidirect
104. #2623C22semidirect
107. #2582C22semidirect
108. #2568C22semidirect
109. #2568C22semidirect
110. #2560C22semidirect
111. #2560C22semidirect
112. #2559C22semidirect
113. #2558C22semidirect
115. #2557C22semidirect
116. #2557C22semidirect
117. #2556C22semidirect
118. #2554C22semidirect
119. #2550C22semidirect
120. #2550C22semidirect
121. #2550C22semidirect
122. #2549C22semidirect
124. #2547C22semidirect
126. #2544C22semidirect
129. #2540C22semidirect
134. #2521C22semidirect
135. #2503C22semidirect
136. #2503C22semidirect
137. #2498C22semidirect
144. #2492C22semidirect
145. #2492C22semidirect
146. #2492C22semidirect
147. #2492C22semidirect
148. #2492C22semidirect
149. #2492C22semidirect
150. #2492C22semidirect
151. #2492C22semidirect
152. #2492C22semidirect
153. #2490C22semidirect
154. #2488C22semidirect
155. #2488C22semidirect
156. #2488C22semidirect
157. #2488C22semidirect
158. #2487C22semidirect
160. #2484C22semidirect
161. #2481C22semidirect
165. #2459C22semidirect
167. #2457C22semidirect
168. #2451C22semidirect
169. #2451C22semidirect
170. #2451C22semidirect
172. #2450C22semidirect
173. #2450C22semidirect
174. #2447C22semidirect
175. #2446C22semidirect
176. #2446C22semidirect
177. #2444C22semidirect
178. #2444C22semidirect
179. #2442C22semidirect
181. #2439C22semidirect
182. #2439C22semidirect
183. #2439C22semidirect
184. #2438C22semidirect
188. #2436C22semidirect
189. #2431C22semidirect
197. #2427C22semidirect
198. #2427C22semidirect
203. #2421C22semidirect
204. #2421C22semidirect
206. #2419C22semidirect
207. #2419C22semidirect
210. #2417C22semidirect
211. #2417C22semidirect
221. #2409C22semidirect
222. #2407C22semidirect
226. #2395C22semidirect
227. C2×#400C22semidirect
231. #2367C22semidirect
232. #2365C22semidirect
236. #2363C22semidirect
237. #2362C22semidirect
238. #2361C22semidirect
240. #2360C22semidirect
242. #2359C22semidirect
244. #2354C22semidirect
247. #2352C22semidirect
251. #2344C22semidirect
253. Q8×C22⋊C4C22semidirect
254. Q8×C22⋊C4C22semidirect
255. Q8×C22⋊C4C22semidirect
256. Q8×C22⋊C4C22semidirect
263. #2339C22semidirect
264. #2339C22semidirect
265. #2339C22semidirect
266. #2339C22semidirect
267. #2339C22semidirect
268. #2339C22semidirect
270. #2311C22semidirect
271. #2311C22semidirect
272. #2310C22semidirect
273. #2310C22semidirect
274. C4×C4⋊Q8C22semidirect
276. C4×#124C22semidirect
278. C4×C22⋊Q8C22semidirect
279. C4×C22⋊Q8C22semidirect
281. C4×#123C22semidirect
286. C4×#121C22semidirect
288. #2297C22semidirect
289. #2297C22semidirect
290. C2×#391C22semidirect
291. C2×#391C22semidirect
292. C2×#391C22semidirect
293. C2×#391C22semidirect
298. C42×D4C22semidirect
299. C2×C4×C4⋊C4C22semidirect
334. #547D4semidirect
875. C2×#41#41semidirect
1646. C22⋊C42−1+4semidirect

Maximal subgroups

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

subgroupindex
C2×#34992
C2×#35202
#598092
#598052
#594212
#594092
#591342
#590932
#590422
#590232
#452892
#451142
#447592
#445132
#394712
#394652
#394392
#394312
#389112
#389052
#364242
#363032
#362742
#362182
#361532
#361472
#361292
#360782
#360672
#348892
C2×#24922
#342592
C4×#5472
C4×#5462