Finite Group Databasebeta

← #7690097

Subgroups — #7690097

Order 512.

8036 conjugacy classes of subgroups.

The subgroup lattice has 1912 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3499C211yesmaximal, characteristic, complemented
2C2×#3482C211yesmaximal, characteristic, complemented
3#59413C211yesmaximal, characteristic, complemented
4#59409C212yesmaximal, complemented
5#59144C211yesmaximal, characteristic, complemented
6#59096C212yesmaximal, complemented
7#59093C212yesmaximal, complemented
8#59092C214yesmaximal, complemented
9#59042C211yesmaximal, characteristic, complemented
10#59031C212yesmaximal, complemented
11#45325C212yesmaximal, complemented
12#45291C212yesmaximal, complemented
13#44761C214yesmaximal, complemented
14#44494C214yesmaximal, complemented
15#39468C211yesmaximal, characteristic, complemented
16#39465C212yesmaximal, complemented
17#38954C211yesmaximal, characteristic, complemented
18#38950C212yesmaximal, complemented
19#37783C212yesmaximal, complemented
20#37779C214yesmaximal, complemented
21#36422C212yesmaximal, complemented
22#36303C211yesmaximal, characteristic, complemented
23#36274C211yesmaximal, characteristic, complemented
24#36274C211yesmaximal, characteristic, complemented
25#36259C211yesmaximal, characteristic, complemented
26#36217C212yesmaximal, complemented
27#36139C212yesmaximal, complemented
28#36129C211yesmaximal, characteristic, complemented
29#36085C212yesmaximal, complemented
30#36020C212yesmaximal, complemented
31#34715C211yesmaximal, characteristic, complemented
32C2×#2451C212yesmaximal, complemented
33#34308C211yesmaximal, characteristic, complemented
34#34259C212yesmaximal, complemented
35C4×#547C211yesmaximal, characteristic, complemented
36C22×2−1+4C2212yes—
37#3499—216no—
38#3482—216no—
39C2×#557C2211yescharacteristic
40C2×#556C2212yes—
41C2×#556C2211yescharacteristic
42C2×#552C2212yes—
43C2×#552C2214yes—
44C2×D4×Q8C2211yescharacteristic
45C2×D4×Q8C2211yescharacteristic
46C2×D4×Q8C2212yes—
47C2×D4×Q8C2211yescharacteristic
48C2×#548C2212yes—
49C2×#547C2212yes—
50C2×#547C2212yes—
51C2×#547C2212yes—
52C2×#547C2211yescharacteristic
53C2×#547C2214yes—
54C2×#547C2211yescharacteristic
55C2×#547C2212yes—
56C2×#547C2212yes—
57C2×#547C2211yescharacteristic
58C2×#536C2212yes—
59C2×#536C2214yes—
60C2×#533C2211yescharacteristic
61C2×#533C2212yes—
62C2×#532C2212yes—
63C2×#532C2211yescharacteristic
64C22×C4⋊Q8C2211yescharacteristic
65C22×C4⋊Q8C2212yes—
66C2×#529C2212yes—
67C2×#529C2214yes—
68C2×#520C2212yes—
69C2×C4×#41C2211yescharacteristic
70C2×C4×#41C2211yescharacteristic
71C2×C4×#41C2212yes—
72C2×C4×#41C2211yescharacteristic
73C22×C4×Q8C2212yes—
74#2862C2211yescharacteristic
75#2857C2211yescharacteristic
76#2857C2211yescharacteristic
77#2855C2212yes—
78#2855C2212yes—
79#2854C2212yes—
80#2853C2214yes—
81#2850C2212yes—
82#2716C2214yes—
83#2716C2214yes—
84#2715C2214yes—
85#2713C2214yes—
86#2713C2214yes—
87#2713C2214yes—
88#2712C2214yes—
89#2707C2214yes—
90#2705C2214yes—
91#2704C2214yes—
92#2704C2214yes—
93#2702C2214yes—
94#2700C2214yes—
95#2700C2214yes—
96#2698C2214yes—
97#2698C2214yes—
98#2695C2214yes—
99#2691C2214yes—
100#2690C2214yes—
101#2689C2214yes—
102#2687C2214yes—
103#2621C2212yes—
104#2618C2214yes—
105#2616C2212yes—
106#2614C2214yes—
107#2582C2211yescharacteristic
108#2568C2211yescharacteristic
109#2568C2211yescharacteristic
110#2557C2214yes—
111#2556C2214yes—
112#2550C2212yes—
113#2550C2212yes—
114#2550C2212yes—
115#2549C2214yes—
116#2547C2211yescharacteristic
117#2546C2211yescharacteristic
118#2546C2212yes—
119#2544C2212yes—
120#2543C2214yes—
121#2538C2211yescharacteristic
122#2536C2212yes—
123#2521C2214yes—
124#2503C2212yes—
125#2499C2212yes—
126#2498C2214yes—
127#2492C2212yes—
128#2492C2212yes—
129#2492C2212yes—
130#2492C2212yes—
131#2488C2214yes—
132#2488C2214yes—
133#2486C2212yes—
134#2486C2214yes—
135#2485C2212yes—
136#2484C2214yes—
137#2477C2214yes—
138#2476C2212yes—
139#2474C2214yes—
140#2474C2212yes—
141#2473C2214yes—
142#2470C2214yes—
143#2468C2214yes—
144#2465C2214yes—
145#2465C2214yes—
146#2459C2212yes—
147#2459C2214yes—
148#2458C2214yes—
149#2458C2214yes—
150#2456C2212yes—
151#2454C2212yes—
152#2451C2212yes—
153#2451C2214yes—
154#2451C2212yes—
155#2451C2212yes—
156#2451C2212yes—
157#2451C2212yes—
158#2451C2212yes—
159#2451C2212yes—
160#2451C2211yescharacteristic
161#2451C2214yes—
162#2451C2212yes—
163#2451C2214yes—
164#2451C2214yes—
165#2451C2212yes—
166#2450C2214yes—
167#2450C2214yes—
168#2450C2214yes—
169#2447C2212yes—
170#2447C2212yes—
171#2446C2212yes—
172#2446C2212yes—
173#2445C2211yescharacteristic
174#2444C2214yes—
175#2443C2214yes—
176#2442C2212yes—
177#2442C2212yes—
178#2439C2212yes—
179#2439C2212yes—
180#2439C2212yes—
181#2439C2211yescharacteristic
182#2438C2214yes—
183#2438C2214yes—
184#2438C2214yes—
185#2436C2212yes—
186#2434C2212yes—
187#2434C2212yes—
188#2434C2212yes—
189#2431C2211yescharacteristic
190#2430C2214yes—
191#2430C2214yes—
192#2430C2214yes—
193#2429C2212yes—
194#2429C2212yes—
195#2429C2212yes—
196#2427C2212yes—
197#2427C2212yes—
198#2426C2212yes—
199#2426C2211yescharacteristic
200#2425C2214yes—
201#2425C2214yes—
202#2425C2214yes—
203#2423C2212yes—
204#2421C2212yes—
205#2420C2211yescharacteristic
206#2419C2214yes—
207#2419C2214yes—
208#2417C2212yes—
209#2417C2212yes—
210#2417C2212yes—
211#2417C2212yes—
212#2416C2212yes—
213#2415C2212yes—
214#2414C2211yescharacteristic
215#2413C2214yes—
216#2413C2214yes—
217#2413C2214yes—
218#2409C2212yes—
219#2409C2212yes—
220#2409C2212yes—
221#2409C2212yes—
222#2407C2211yescharacteristic
223#2406C2214yes—
224#2406C2214yes—
225#2406C2214yes—
226#2392C2212yes—
227C2×#398C2214yes—
228#2388C2212yes—
229C2×#395C2214yes—
230#2367C2212yes—
231#2367C2212yes—
232#2365C2211yescharacteristic
233#2365C2211yescharacteristic
234#2362C2211yescharacteristic
235#2362C2211yescharacteristic
236#2361C2212yes—
237#2361C2212yes—
238#2360C2212yes—
239#2360C2212yes—
240#2360C2212yes—
241#2359C2214yes—
242#2359C2214yes—
243#2359C2212yes—
244#2359C2212yes—
245#2354C2211yescharacteristic
246#2352C2212yes—
247#2349C2212yes—
248#2349C2212yes—
249D4×C4⋊C4C2211yescharacteristic
250D4×C4⋊C4C2211yescharacteristic
251D4×C4⋊C4C2211yescharacteristic
252#2344C2212yes—
253#2344C2212yes—
254Q8×C22⋊C4C2212yes—
255Q8×C22⋊C4C2212yes—
256Q8×C22⋊C4C2212yes—
257Q8×C22⋊C4C2212yes—
258#2339C2212yes—
259#2339C2212yes—
260#2339C2214yes—
261#2339C2214yes—
262#2339C2211yescharacteristic
263#2339C2211yescharacteristic
264#2339C2212yes—
265#2339C2212yes—
266#2339C2214yes—
267#2339C2212yes—
268#2339C2212yes—
269#2339C2214yes—
270#2323C2212yes—
271#2322C2214yes—
272#2311C2212yes—
273#2311C2214yes—
274#2310C2214yes—
275#2310C2212yes—
276C4×C4⋊Q8C2211yescharacteristic
277C4×C4⋊Q8C2211yescharacteristic
278C4×#124C2211yescharacteristic
279C4×C22⋊Q8C2211yescharacteristic
280C4×C22⋊Q8C2211yescharacteristic
281C4×C22⋊Q8C2211yescharacteristic
282C4×#123C2212yes—
283C4×#123C2212yes—
284C4×#123C2212yes—
285C4×#121C2212yes—
286C4×#121C2212yes—
287C4×#121C2211yescharacteristic
288#2297C2214yes—
289#2297C2212yes—
290C2×#391C2212yes—
291C2×#391C2214yes—
292C2×#391C2212yes—
293C2×#391C2212yes—
294#2293C2211yescharacteristic
295C2×#389C2212yes—
296C2×#389C2212yes—
297C2×#387C2214yes—
298C42×D4C2211yescharacteristic
299C42×D4C2211yescharacteristic
300C2×C4×C4⋊C4C2212yes—
301C2×2−1+4—216no—
302C2×2−1+4—216no—
303C2×2−1+4—48no—
304C22×#41C2312yes—
305C22×#41C2311yescharacteristic
306C22×#41C2312yes—
307C22×#41C2314yes—
308C22×#41C2314yes—
309C22×#41C2314yes—
310C22×#41C2311yescharacteristic
311C22×#41C2312yes—
312C22×#41C2311yescharacteristic
313C23×Q8C2314yes—
314C23×Q8C2312yes—
315C23×Q8C2312yes—
316C23×Q8C2312yes—
317C23×Q8C2312yes—
318#557—28no—
319#556—216no—
320#556—28no—
321#552—232no—
322#552—216no—
323D4×Q8—28no—
324D4×Q8—216no—
325D4×Q8—28no—
326D4×Q8—28no—
327#548—216no—
328#547—216no—
329#547—216no—
330#547—28no—
331#547—232no—
332#547—216no—
333#547—28no—
334#547—216no—
335#547—48no—
336#547D4116yescomplemented
337#536—232no—
338#536—216no—
339#533—28no—
340#533—216no—
341#532—216no—
342#532—28no—
343C2×C4⋊Q8—28no—
344C2×C4⋊Q8—216no—
345C2×C4⋊Q8C2311yescharacteristic
346C2×C4⋊Q8C2311yescharacteristic
347C2×C4⋊Q8C2311yescharacteristic
348C2×C4⋊Q8C2311yescharacteristic
349C2×C4⋊Q8C2312yes—
350C2×C4⋊Q8C2312yes—
351C2×C4⋊Q8C2314yes—
352C2×C4⋊Q8C2312yes—
353C2×C4⋊Q8C2312yes—
354C2×C4⋊Q8C2314yes—
355C2×C4⋊Q8C2312yes—
356C2×C4⋊Q8C2312yes—
357C2×C4⋊Q8C2312yes—
358C2×C4⋊Q8C2312yes—
359C2×C4⋊Q8C2311yescharacteristic
360C2×#127C2311yescharacteristic
361#529—232no—
362#529—216no—
363C2×#126C2314yes—
364C2×#126C2314yes—
365C2×#126C2314yes—
366C2×#125C2312yes—
367C2×#125C2314yes—
368C2×#125C2312yes—
369C2×#125C2314yes—
370C2×#124C2311yescharacteristic
371C2×#124C2312yes—
372C2×#124C2314yes—
373C2×#124C2314yes—
374C2×#124C2312yes—
375C2×#124C2312yes—
376C2×#123C2314yes—
377C2×#123C2312yes—
378C2×#123C2314yes—
379C2×#123C2312yes—
380C2×#123C2312yes—
381C2×#123C2314yes—
382C2×#123C2314yes—
383C2×#123C2314yes—
384C2×#123C2314yes—
385C2×#123C2314yes—
386C2×#123C2314yes—
387C2×#123C2314yes—
388C2×#123C2314yes—
389C2×C22⋊Q8C2312yes—
390C2×C22⋊Q8C2312yes—
391C2×C22⋊Q8C2311yescharacteristic
392C2×C22⋊Q8C2311yescharacteristic
393C2×C22⋊Q8C2312yes—
394C2×C22⋊Q8C2311yescharacteristic
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2312yes—
397C2×C22⋊Q8C2314yes—
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2314yes—
400C2×C22⋊Q8C2312yes—
401C2×C22⋊Q8C2314yes—
402C2×C22⋊Q8C2314yes—
403C2×C22⋊Q8C2314yes—
404C2×C22⋊Q8C2314yes—
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2312yes—
407C2×C22⋊Q8C2312yes—
408C2×C22⋊Q8C2312yes—
409C2×#121C2312yes—
410C2×#121C2312yes—
411C2×#121C2311yescharacteristic
412C2×#121C2311yescharacteristic
413C2×#121C2314yes—
414C2×#121C2314yes—
415C2×#121C2312yes—
416C2×#121C2314yes—
417C2×#121C2311yescharacteristic
418C2×#121C2312yes—
419#520—48no—
420C4×#41—216no—
421C4×#41—28no—
422C4×#41—28no—
423C4×#41—28no—
424C2×C4×Q8—216no—
425C2×C4×Q8C2311yescharacteristic
426C2×C4×Q8C2311yescharacteristic
427C2×C4×Q8C2311yescharacteristic
428C2×C4×Q8C2312yes—
429C2×C4×Q8C2312yes—
430C2×C4×Q8C2312yes—
431C2×C4×Q8C2312yes—
432C2×C4×Q8C2311yescharacteristic
433C2×C4×Q8C2311yescharacteristic
434C2×C4×Q8C2311yescharacteristic
435C2×C4×Q8C2314yes—
436C2×C4×Q8C2312yes—
437C2×C4×Q8C2314yes—
438C2×C4×Q8C2312yes—
439C2×C4×Q8C2312yes—
440C2×C4×D4C2311yescharacteristic
441C2×C4×D4C2311yescharacteristic
442C2×C4×D4C2312yes—
443C2×C4×D4C2311yescharacteristic
444C2×C4×D4C2312yes—
445C2×C4×D4C2314yes—
446C2×C4×D4C2314yes—
447C2×C4×D4C2311yescharacteristic
448C2×C4×D4C2312yes—
449C2×C4×D4C2311yescharacteristic
450C2×C4×D4C2311yescharacteristic
451C2×C4×D4C2311yescharacteristic
452C2×C4×D4C2312yes—
453C2×C4×D4C2312yes—
454C2×C4×D4C2314yes—
455C2×C4×D4C2312yes—
456C2×C4×D4C2312yes—
457C2×C4×D4C2312yes—
458C2×C4×D4C2312yes—
459C2×C4×D4C2312yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2311yescharacteristic
462C2×C4×D4C2314yes—
463C2×C4×D4C2314yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2311yescharacteristic
467C2×C4×D4C2311yescharacteristic
468C2×C4×D4C2311yescharacteristic
469C2×#117C2314yes—
470C2×#117C2312yes—
471C2×#117C2312yes—
472C2×#117C2312yes—
473C2×#117C2312yes—
474C2×#117C2311yescharacteristic
475C2×#117C2311yescharacteristic
476C2×#117C2314yes—
477C2×#117C2311yescharacteristic
478C2×#117C2312yes—
479C2×#117C2312yes—
480C2×#117C2314yes—
481C22×C4⋊C4C2312yes—
482C22×C4⋊C4C2312yes—
483C22×C4⋊C4C2312yes—
484C22×C4⋊C4C2312yes—
485C22×C4⋊C4C2314yes—
486C22×C4⋊C4C2314yes—
487C22×C4⋊C4C2312yes—
488C22×C4⋊C4C2314yes—
489C22×C4⋊C4C2312yes—
490C22×C4⋊C4C2312yes—
491C22×C4⋊C4C2314yes—
492C22×C4⋊C4C2312yes—
493C22×C42C2314yes—
494C22×C42C2312yes—
495C22×C42C2312yes—
496C22×C42C2312yes—
497C22×C42C2311yescharacteristic
498C22×C42C2311yescharacteristic
499C22×C42C2312yes—
500#400C2314yes—
501#400C2314yes—
502#400C2314yes—
503#400C2314yes—
504#400C2314yes—
505#400C2314yes—
506#400C2314yes—
507#399C2314yes—
508#398C2314yes—
509#398C2314yes—
510#398C2314yes—
511#398C2314yes—
512#398C2312yes—
513#398C2314yes—
514#398C2314yes—
515#398C2314yes—
516#398C2314yes—
517#398C2314yes—
518#398C2314yes—
519#398C2314yes—
520#398C2314yes—
521#398C2314yes—
522#398C2314yes—
523#398C2314yes—
524#398C2314yes—
525#397C2314yes—
526#397C2314yes—
527#397C2312yes—
528#397C2314yes—
529#397C2314yes—
530#397C2314yes—
531#397C2314yes—
532#397C2314yes—
533#397C2314yes—
534#396C2314yes—
535#396C2314yes—
536#396C2314yes—
537#396C2314yes—
538#396C2312yes—
539#396C2312yes—
540#396C2314yes—
541#396C2314yes—
542#396C2314yes—
543#395C2314yes—
544#395C2314yes—
545#395C2314yes—
546#395C2314yes—
547#395C2312yes—
548#395C2314yes—
549#395C2314yes—
550#395C2314yes—
551#395C2314yes—
552#395C2314yes—
553#395C2314yes—
554#395C2314yes—
555#394C2314yes—
556#394C2314yes—
557#394C2314yes—
558#394C2312yes—
559#394C2314yes—
560#394C2312yes—
561#394C2312yes—
562#394C2312yes—
563#394C2312yes—
564#394C2312yes—
565#394C2314yes—
566#394C2314yes—
567#393C2312yes—
568#393C2314yes—
569#393C2314yes—
570#393C2314yes—
571#393C2314yes—
572#393C2314yes—
573#393C2314yes—
574#392C2312yes—
575#392C2312yes—
576#392C2312yes—
577#392C2312yes—
578#391C2311yescharacteristic
579#391C2312yes—
580#391C2311yescharacteristic
581#391C2312yes—
582#391C2314yes—
583#391C2314yes—
584#391C2314yes—
585#391C2314yes—
586#391C2312yes—
587#391C2312yes—
588#391C2312yes—
589#391C2314yes—
590#391C2314yes—
591#391C2314yes—
592#391C2314yes—
593#391C2312yes—
594#391C2312yes—
595#391C2312yes—
596#391C2312yes—
597#391C2312yes—
598#391C2312yes—
599#391C2312yes—
600#391C2312yes—
601#391C2312yes—
602#391C2311yescharacteristic
603#391C2312yes—
604#391C2314yes—
605#391C2314yes—
606#391C2314yes—
607#391C2314yes—
608#391C2312yes—
609#391C2311yescharacteristic
610#391C2312yes—
611#391C2312yes—
612#391C2311yescharacteristic
613#391C2312yes—
614#391C2311yescharacteristic
615#391C2314yes—
616#391C2314yes—
617#391C2314yes—
618#391C2314yes—
619#391C2312yes—
620#391C2314yes—
621#390C2312yes—
622#390C2314yes—
623#390C2311yescharacteristic
624#390C2311yescharacteristic
625#390C2312yes—
626#390C2312yes—
627#390C2311yescharacteristic
628#390C2311yescharacteristic
629#390C2312yes—
630#389C2312yes—
631#389C2312yes—
632#389C2312yes—
633#389C2312yes—
634#389C2314yes—
635#389C2312yes—
636#389C2312yes—
637#389C2312yes—
638#389C2312yes—
639#389C2312yes—
640#389C2311yescharacteristic
641#389C2311yescharacteristic
642#389C2311yescharacteristic
643#389C2312yes—
644#389C2312yes—
645#389C2312yes—
646#389C2312yes—
647#389C2312yes—
648#389C2311yescharacteristic
649#389C2314yes—
650#389C2314yes—
651#389C2314yes—
652#389C2314yes—
653#389C2312yes—
654#389C2314yes—
655#389C2314yes—
656#389C2311yescharacteristic
657#389C2312yes—
658#389C2311yescharacteristic
659#389C2314yes—
660#389C2312yes—
661#388C2312yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2312yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2312yes—
674#388C2312yes—
675#388C2312yes—
676#388C2312yes—
677#388C2312yes—
678#388C2312yes—
679#388C2312yes—
680#388C2314yes—
681#388C2314yes—
682#388C2312yes—
683#388C2314yes—
684#388C2312yes—
685#388C2312yes—
686#388C2312yes—
687#387C2314yes—
688#387C2314yes—
689#387C2314yes—
690#387C2314yes—
691#387C2314yes—
692#387C2314yes—
693#387C2314yes—
694#387C2314yes—
695#387C2314yes—
696#387C2314yes—
697#387C2312yes—
698#387C2312yes—
699#387C2312yes—
700#387C2312yes—
701#387C2314yes—
702#387C2312yes—
703#387C2312yes—
704#387C2314yes—
705#387C2314yes—
706#387C2314yes—
707#387C2312yes—
708#387C2312yes—
709#387C2314yes—
710#387C2314yes—
711#387C2312yes—
712#386C2312yes—
713#386C2314yes—
714#386C2314yes—
715#386C2314yes—
716#386C2314yes—
717#386C2314yes—
718#386C2314yes—
719#386C2314yes—
720#386C2312yes—
721#386C2314yes—
722#386C2314yes—
723#386C2312yes—
724#386C2314yes—
725#386C2312yes—
726#386C2312yes—
727#386C2312yes—
728#386C2314yes—
729#386C2312yes—
730#386C2314yes—
731#386C2312yes—
732#386C2314yes—
733#386C2314yes—
734#386C2314yes—
735#386C2314yes—
736#386C2314yes—
737#386C2312yes—
738#386C2312yes—
739#385C2314yes—
740#385C2314yes—
741#385C2314yes—
742#385C2312yes—
743#385C2314yes—
744#385C2314yes—
745#385C2314yes—
746#385C2312yes—
747#385C2314yes—
748#385C2312yes—
749#385C2312yes—
750#385C2314yes—
751#385C2314yes—
752#385C2314yes—
753#385C2314yes—
754#385C2314yes—
755#385C2314yes—
756#385C2314yes—
757#385C2314yes—
758#385C2312yes—
759#385C2312yes—
760#384C2311yescharacteristic
761#384C2311yescharacteristic
762#382C2312yes—
763#382C2312yes—
764#382C2312yes—
765#382C2312yes—
766#382C2311yescharacteristic
767#381C2312yes—
768#381C2314yes—
769#381C2314yes—
770#381C2314yes—
771#381C2314yes—
772#381C2314yes—
773#381C2314yes—
774#381C2314yes—
775#381C2312yes—
776#381C2314yes—
777#381C2312yes—
778#380C2311yescharacteristic
779#380C2312yes—
780#380C2312yes—
781#380C2314yes—
782#380C2312yes—
783#380C2314yes—
784#380C2314yes—
785#380C2314yes—
786#380C2312yes—
787#380C2312yes—
788#380C2311yescharacteristic
789#380C2312yes—
790#380C2312yes—
791#380C2312yes—
792#380C2312yes—
793#380C2312yes—
794#380C2314yes—
795#380C2314yes—
796#380C2311yescharacteristic
797#380C2311yescharacteristic
798#380C2314yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2311yescharacteristic
804C4×C4⋊C4C2311yescharacteristic
805C4×C4⋊C4C2311yescharacteristic
806C4×C4⋊C4C2311yescharacteristic
807C4×C4⋊C4C2312yes—
808C4×C4⋊C4C2312yes—
809C4×C4⋊C4C2311yescharacteristic
810C4×C4⋊C4C2312yes—
811C4×C4⋊C4C2312yes—
812C4×C4⋊C4C2311yescharacteristic
813C4×C4⋊C4C2312yes—
814C4×C4⋊C4C2312yes—
815C4×C4⋊C4C2312yes—
816C4×C4⋊C4C2311yescharacteristic
817C4×C4⋊C4C2312yes—
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2311yescharacteristic
820C4×C22⋊C4C2314yes—
821C4×C22⋊C4C2314yes—
822C4×C22⋊C4C2314yes—
823C4×C22⋊C4C2314yes—
824C4×C22⋊C4C2312yes—
825C4×C22⋊C4C2312yes—
826C4×C22⋊C4C2312yes—
827C4×C22⋊C4C2312yes—
828C4×C22⋊C4C2311yescharacteristic
829C4×C22⋊C4C2312yes—
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2312yes—
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2314yes—
834C4×C22⋊C4C2311yescharacteristic
835C4×C22⋊C4C2311yescharacteristic
836C4×C22⋊C4C2311yescharacteristic
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2311yescharacteristic
839C2×#95C2312yes—
840C2×#95C2314yes—
841C2×#95C2314yes—
842C2×#95C2314yes—
843C2×#95C2314yes—
844C2×#95C2314yes—
845C2×#95C2314yes—
846C2×#95C2312yes—
847C2×#95C2314yes—
848C2×#95C2314yes—
849C43C2311yescharacteristic
8502−1+4—4128no—
851C2×#41—24no—
852C2×#41—24no—
853C2×#41—24no—
854C2×#41—24no—
855C2×#41—216no—
856C2×#41—28no—
857C2×#41—216no—
858C2×#41—28no—
859C2×#41—24no—
860C2×#41—216no—
861C2×#41—216no—
862C2×#41—28no—
863C2×#41—28no—
864C2×#41—24no—
865C2×#41—24no—
866C2×#41—28no—
867C2×#41—28no—
868C2×#41—216no—
869C2×#41—28no—
870C2×#41—216no—
871C2×#41—44no—
872C2×#41—48no—
873C2×#41—48no—
874C2×#41—48no—
875C2×#41—42no—
876C2×#41C2×D4116yes—
877C2×#41#4118yescomplemented
878C22×Q8—28no—
879C22×Q8—28no—
880C22×Q8—28no—
881C22×Q8—28no—
882C22×Q8—28no—
883C22×Q8—28no—
884C22×Q8—216no—
885C22×Q8—28no—
886C22×Q8—216no—
887C22×Q8—28no—
888C22×Q8—48no—
889C22×Q8—44no—
890C22×Q8—44no—
891C22×Q8—44no—
892C22×Q8—44no—
893C22×Q8C2411yescharacteristic
894C22×Q8C2412yes—
895C22×Q8C2412yes—
896C22×Q8C2414yes—
897C22×Q8C2414yes—
898C22×Q8C2414yes—
899C22×Q8C2414yes—
900C22×Q8C2412yes—
901C22×Q8C2412yes—
902C22×Q8C2411yescharacteristic
903C22×Q8C2411yescharacteristic
904C22×D4C2411yescharacteristic
905C22×D4C2412yes—
906C22×D4C2414yes—
907C22×D4C2412yes—
908C22×D4C2411yescharacteristic
909C22×D4C2412yes—
910C22×D4C2412yes—
911C22×D4C2412yes—
912C22×D4C2412yes—
913C22×D4C2411yescharacteristic
914C22×D4C2414yes—
915C22×D4C2412yes—
916C22×D4C2412yes—
917C22×D4C2411yescharacteristic
918C23×C4C2412yes—
919C23×C4C2414yes—
920C23×C4C2411yescharacteristic
921C23×C4C2411yescharacteristic
922C23×C4C2411yescharacteristic
923C23×C4C2412yes—
924C23×C4C2412yes—
925C23×C4C2411yescharacteristic
926C23×C4C2412yes—
927C23×C4C2414yes—
928C23×C4C2412yes—
929C23×C4C2414yes—
930C23×C4C2411yescharacteristic
931C23×C4C2412yes—
932C23×C4C2412yes—
933C23×C4C2414yes—
934C23×C4C2414yes—
935C23×C4C2414yes—
936C23×C4C2412yes—
937C23×C4C2412yes—
938C23×C4C2412yes—
939C23×C4C2411yescharacteristic
940C23×C4C2414yes—
941C23×C4C2412yes—
942C23×C4C2414yes—
943C4⋊Q8—28no—
944C4⋊Q8—28no—
945C4⋊Q8—24no—
946C4⋊Q8—28no—
947C4⋊Q8—24no—
948C4⋊Q8—28no—
949C4⋊Q8—216no—
950C4⋊Q8—216no—
951C4⋊Q8—28no—
952C4⋊Q8—28no—
953C4⋊Q8—28no—
954C4⋊Q8—24no—
955C4⋊Q8—24no—
956C4⋊Q8—44no—
957C4⋊Q8C2×D418yes—
958#127—24no—
959#126—216no—
960#126—216no—
961#126—216no—
962#125—216no—
963#125—28no—
964#125—28no—
965#125—216no—
966#124—24no—
967#124—28no—
968#124—216no—
969#124—28no—
970#124—216no—
971#124—44no—
972#123—216no—
973#123—216no—
974#123—28no—
975#123—216no—
976#123—216no—
977#123—28no—
978#123—216no—
979#123—28no—
980#123—216no—
981#123—216no—
982#123—48no—
983#123—48no—
984#123C2×D4132yes—
985C22⋊Q8—28no—
986C22⋊Q8—28no—
987C22⋊Q8—24no—
988C22⋊Q8—24no—
989C22⋊Q8—28no—
990C22⋊Q8—28no—
991C22⋊Q8—28no—
992C22⋊Q8—24no—
993C22⋊Q8—28no—
994C22⋊Q8—28no—
995C22⋊Q8—216no—
996C22⋊Q8—216no—
997C22⋊Q8—216no—
998C22⋊Q8—216no—
999C22⋊Q8—216no—
1000C22⋊Q8—216no—
1001C22⋊Q8—44no—
1002C22⋊Q8—44no—
1003C22⋊Q8—44no—
1004C22⋊Q8C2×D4116yes—
1005#121—216no—
1006#121—24no—
1007#121—216no—
1008#121—28no—
1009#121—28no—
1010#121—24no—
1011#121—28no—
1012#121—42no—
1013#121—48no—
1014#121C2×D4116yes—
1015C4×Q8—28no—
1016C4×Q8—28no—
1017C4×Q8—24no—
1018C4×Q8—216no—
1019C4×Q8—28no—
1020C4×Q8—28no—
1021C4×Q8—216no—
1022C4×Q8—28no—
1023C4×Q8—24no—
1024C4×Q8—24no—
1025C4×Q8—24no—
1026C4×Q8—24no—
1027C4×Q8—24no—
1028C4×Q8—44no—
1029C4×Q8—44no—
1030C4×D4—24no—
1031C4×D4—24no—
1032C4×D4—216no—
1033C4×D4—24no—
1034C4×D4—28no—
1035C4×D4—216no—
1036C4×D4—28no—
1037C4×D4—24no—
1038C4×D4—24no—
1039C4×D4—28no—
1040C4×D4—28no—
1041C4×D4—28no—
1042C4×D4—28no—
1043C4×D4—28no—
1044C4×D4—24no—
1045C4×D4—28no—
1046C4×D4—24no—
1047C4×D4—28no—
1048C4×D4—28no—
1049C4×D4—28no—
1050C4×D4—216no—
1051C4×D4—24no—
1052C4×D4—44no—
1053C4×D4—42no—
1054C4×D4—44no—
1055C4×D4—48no—
1056C4×D4—48no—
1057C4×D4C2×D418yes—
1058C4×D4C2×D418yes—
1059#117—216no—
1060#117—28no—
1061#117—24no—
1062#117—24no—
1063#117—24no—
1064#117—28no—
1065#117—28no—
1066#117—28no—
1067#117—28no—
1068#117—216no—
1069#117—44no—
1070#117—48no—
1071C2×C4⋊C4—216no—
1072C2×C4⋊C4—216no—
1073C2×C4⋊C4—28no—
1074C2×C4⋊C4—28no—
1075C2×C4⋊C4—28no—
1076C2×C4⋊C4—28no—
1077C2×C4⋊C4—28no—
1078C2×C4⋊C4—44no—
1079C2×C4⋊C4—44no—
1080C2×C4⋊C4—48no—
1081C2×C4⋊C4—48no—
1082C2×C4⋊C4C2×D4116yes—
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2411yescharacteristic
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2411yescharacteristic
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2414yes—
1089C2×C4⋊C4C2411yescharacteristic
1090C2×C4⋊C4C2411yescharacteristic
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2412yes—
1093C2×C4⋊C4C2414yes—
1094C2×C4⋊C4C2414yes—
1095C2×C4⋊C4C2414yes—
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2414yes—
1099C2×C4⋊C4C2414yes—
1100C2×C4⋊C4C2414yes—
1101C2×C4⋊C4C2414yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2411yescharacteristic
1108C2×C4⋊C4C2411yescharacteristic
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2414yes—
1112C2×C4⋊C4C2411yescharacteristic
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2414yes—
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2414yes—
1120C2×C4⋊C4C2414yes—
1121C2×C4⋊C4C2411yescharacteristic
1122C2×C4⋊C4C2411yescharacteristic
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2414yes—
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2414yes—
1130C2×C4⋊C4C2414yes—
1131C2×C4⋊C4C2414yes—
1132C2×C4⋊C4C2414yes—
1133C2×C4⋊C4C2414yes—
1134C2×C4⋊C4C2414yes—
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2411yescharacteristic
1137C2×C4⋊C4C2414yes—
1138C2×C4⋊C4C2414yes—
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2412yes—
1141C2×C4⋊C4C2414yes—
1142C2×C4⋊C4C2411yescharacteristic
1143C2×C4⋊C4C2412yes—
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2414yes—
1146C2×C4⋊C4C2411yescharacteristic
1147C2×C4⋊C4C2411yescharacteristic
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2414yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2414yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2411yescharacteristic
1168C2×C22⋊C4C2411yescharacteristic
1169C2×C22⋊C4C2411yescharacteristic
1170C2×C22⋊C4C2411yescharacteristic
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2411yescharacteristic
1184C2×C22⋊C4C2411yescharacteristic
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2414yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2414yes—
1190C2×C22⋊C4C2414yes—
1191C2×C22⋊C4C2414yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2414yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2414yes—
1201C2×C42—28no—
1202C2×C42—216no—
1203C2×C42—28no—
1204C2×C42—28no—
1205C2×C42—24no—
1206C2×C42—24no—
1207C2×C42—44no—
1208C2×C42C2411yescharacteristic
1209C2×C42C2412yes—
1210C2×C42C2414yes—
1211C2×C42C2412yes—
1212C2×C42C2411yescharacteristic
1213C2×C42C2412yes—
1214C2×C42C2414yes—
1215C2×C42C2411yescharacteristic
1216C2×C42C2412yes—
1217C2×C42C2412yes—
1218C2×C42C2411yescharacteristic
1219C2×C42C2412yes—
1220C2×C42C2412yes—
1221C2×C42C2412yes—
1222C2×C42C2411yescharacteristic
1223C2×C42C2414yes—
1224C2×C42C2412yes—
1225C2×C42C2411yescharacteristic
1226C2×C42C2411yescharacteristic
1227C2×C42C2412yes—
1228C2×C42C2412yes—
1229C2×C42C2411yescharacteristic
1230C2×C42C2411yescharacteristic
1231C2×C42C2411yescharacteristic
1232C2×C42C2411yescharacteristic
1233C2×C42C2414yes—
1234C2×C42C2414yes—
1235C2×C42C2411yescharacteristic
1236C2×C42C2412yes—
1237C2×C42C2412yes—
1238C2×C42C2411yescharacteristic
1239#95C2412yes—
1240#95C2411yescharacteristic
1241#95C2411yescharacteristic
1242#95C2412yes—
1243#95C2414yes—
1244#95C2412yes—
1245#95C2414yes—
1246#95C2412yes—
1247#95C2414yes—
1248#95C2412yes—
1249#95C2412yes—
1250#95C2412yes—
1251#95C2412yes—
1252#95C2414yes—
1253#95C2412yes—
1254#95C2412yes—
1255#95C2412yes—
1256#95C2412yes—
1257#95C2412yes—
1258#95C2414yes—
1259#95C2414yes—
1260#95C2414yes—
1261#95C2414yes—
1262#95C2414yes—
1263#95C2414yes—
1264#95C2414yes—
1265#95C2414yes—
1266#95C2414yes—
1267#95C2414yes—
1268#95C2414yes—
1269#95C2414yes—
1270#95C2414yes—
1271#95C2414yes—
1272#95C2414yes—
1273#95C2414yes—
1274#95C2414yes—
1275#95C2412yes—
1276#95C2411yescharacteristic
1277#95C2411yescharacteristic
1278#95C2411yescharacteristic
1279#95C2412yes—
1280#95C2411yescharacteristic
1281#95C2412yes—
1282#95C2412yes—
1283#95C2412yes—
1284#95C2412yes—
1285#95C2412yes—
1286#95C2414yes—
1287#95C2412yes—
1288#95C2412yes—
1289#95C2412yes—
1290#95C2414yes—
1291#95C2414yes—
1292#95C2412yes—
1293#95C2414yes—
1294#95C2412yes—
1295#95C2412yes—
1296#95C2414yes—
1297#95C2414yes—
1298#95C2412yes—
1299#95C2412yes—
1300#95C2414yes—
1301#95C2414yes—
1302#95C2414yes—
1303C24C2511yescharacteristic
1304C24C2512yes—
1305C24C2512yes—
1306C24C2511yescharacteristic
1307C24C2512yes—
1308#41—264no—
1309#41—232no—
1310#41—432no—
1311#41—464no—
1312#41—464no—
1313#41—464no—
1314#41—416no—
1315#41—416no—
1316#41—432no—
1317C2×Q8—22no—
1318C2×Q8—22no—
1319C2×Q8—28no—
1320C2×Q8—24no—
1321C2×Q8—22no—
1322C2×Q8—28no—
1323C2×Q8—28no—
1324C2×Q8—24no—
1325C2×Q8—24no—
1326C2×Q8—28no—
1327C2×Q8—24no—
1328C2×Q8—22no—
1329C2×Q8—28no—
1330C2×Q8—28no—
1331C2×Q8—24no—
1332C2×Q8—28no—
1333C2×Q8—24no—
1334C2×Q8—24no—
1335C2×Q8—22no—
1336C2×Q8—22no—
1337C2×Q8—24no—
1338C2×Q8—28no—
1339C2×Q8—24no—
1340C2×Q8—22no—
1341C2×Q8—24no—
1342C2×Q8—44no—
1343C2×Q8—44no—
1344C2×Q8—42no—
1345C2×Q8—44no—
1346C2×Q8—44no—
1347C2×Q8—464no—
1348C2×Q8—432no—
1349C2×Q8—432no—
1350C2×Q8—432no—
1351C2×Q8—432no—
1352C2×Q8C22×D418yes—
1353C2×Q8C2×#4114yes—
1354C2×Q82−1+414yescomplemented
1355C2×D4—24no—
1356C2×D4—28no—
1357C2×D4—28no—
1358C2×D4—24no—
1359C2×D4—24no—
1360C2×D4—24no—
1361C2×D4—24no—
1362C2×D4—24no—
1363C2×D4—28no—
1364C2×D4—24no—
1365C2×D4—22no—
1366C2×D4—24no—
1367C2×D4—24no—
1368C2×D4—24no—
1369C2×D4—28no—
1370C2×D4—24no—
1371C2×D4—28no—
1372C2×D4—22no—
1373C2×D4—24no—
1374C2×D4—24no—
1375C2×D4—22no—
1376C2×D4—22no—
1377C2×D4—24no—
1378C2×D4—22no—
1379C2×D4—24no—
1380C2×D4—22no—
1381C2×D4—22no—
1382C2×D4—41no—
1383C2×D4—42no—
1384C2×D4—42no—
1385C2×D4—42no—
1386C2×D4—42no—
1387C2×D4—42no—
1388C2×D4—42no—
1389C2×D4—42no—
1390C2×D4—42no—
1391C2×D4C22×D414yes—
1392C2×D4C22×D4116yes—
1393C2×D4C22×D414yes—
1394C2×D4C2×#4118yes—
1395C2×D4C2×#4114yes—
1396C2×D4H(5,𝔽2)14yes—
1397C22×C4—24no—
1398C22×C4—28no—
1399C22×C4—28no—
1400C22×C4—24no—
1401C22×C4—22no—
1402C22×C4—24no—
1403C22×C4—24no—
1404C22×C4—22no—
1405C22×C4—24no—
1406C22×C4—24no—
1407C22×C4—24no—
1408C22×C4—24no—
1409C22×C4—24no—
1410C22×C4—28no—
1411C22×C4—24no—
1412C22×C4—24no—
1413C22×C4—28no—
1414C22×C4—28no—
1415C22×C4—24no—
1416C22×C4—24no—
1417C22×C4—28no—
1418C22×C4—28no—
1419C22×C4—24no—
1420C22×C4—28no—
1421C22×C4—24no—
1422C22×C4—28no—
1423C22×C4—22no—
1424C22×C4—22no—
1425C22×C4—22no—
1426C22×C4—22no—
1427C22×C4—22no—
1428C22×C4—28no—
1429C22×C4—28no—
1430C22×C4—24no—
1431C22×C4—22no—
1432C22×C4—28no—
1433C22×C4—28no—
1434C22×C4—24no—
1435C22×C4—22no—
1436C22×C4—24no—
1437C22×C4—24no—
1438C22×C4—24no—
1439C22×C4—24no—
1440C22×C4—22no—
1441C22×C4—22no—
1442C22×C4—22no—
1443C22×C4—24no—
1444C22×C4—28no—
1445C22×C4—24no—
1446C22×C4—22no—
1447C22×C4—22no—
1448C22×C4—22no—
1449C22×C4—42no—
1450C22×C4—41no—
1451C22×C4—41no—
1452C22×C4—42no—
1453C22×C4—42no—
1454C22×C4—42no—
1455C22×C4—44no—
1456C22×C4—44no—
1457C22×C4—44no—
1458C22×C4—44no—
1459C22×C4—42no—
1460C22×C4—42no—
1461C22×C4—44no—
1462C22×C4—42no—
1463C22×C4—44no—
1464C22×C4—44no—
1465C22×C4—44no—
1466C22×C4—44no—
1467C22×C4C22×D418yes—
1468C22×C4C22×D4116yes—
1469C22×C4C22×D418yes—
1470C22×C4C2×#4118yes—
1471C22×C4C2×#4114yes—
1472C22×C4C2511yescharacteristic
1473C22×C4C2512yes—
1474C22×C4C2511yescharacteristic
1475C22×C4C2512yes—
1476C22×C4C2512yes—
1477C22×C4C2512yes—
1478C22×C4C2511yescharacteristic
1479C22×C4C2511yescharacteristic
1480C22×C4C2514yes—
1481C22×C4C2514yes—
1482C22×C4C2512yes—
1483C22×C4C2514yes—
1484C22×C4C2512yes—
1485C22×C4C2512yes—
1486C22×C4C2512yes—
1487C22×C4C2511yescharacteristic
1488C22×C4C2511yescharacteristic
1489C22×C4C2512yes—
1490C22×C4C2512yes—
1491C22×C4C2511yescharacteristic
1492C22×C4C2514yes—
1493C22×C4C2512yes—
1494C22×C4C2511yescharacteristic
1495C22×C4C2512yes—
1496C22×C4C2511yescharacteristic
1497C22×C4C2512yes—
1498C22×C4C2511yescharacteristic
1499C22×C4C2511yescharacteristic
1500C22×C4C2511yescharacteristic
1501C22×C4C2511yescharacteristic
1502C4⋊C4—24no—
1503C4⋊C4—24no—
1504C4⋊C4—28no—
1505C4⋊C4—22no—
1506C4⋊C4—24no—
1507C4⋊C4—28no—
1508C4⋊C4—28no—
1509C4⋊C4—28no—
1510C4⋊C4—28no—
1511C4⋊C4—28no—
1512C4⋊C4—28no—
1513C4⋊C4—28no—
1514C4⋊C4—24no—
1515C4⋊C4—22no—
1516C4⋊C4—24no—
1517C4⋊C4—24no—
1518C4⋊C4—22no—
1519C4⋊C4—24no—
1520C4⋊C4—28no—
1521C4⋊C4—24no—
1522C4⋊C4—22no—
1523C4⋊C4—24no—
1524C4⋊C4—28no—
1525C4⋊C4—24no—
1526C4⋊C4—28no—
1527C4⋊C4—24no—
1528C4⋊C4—28no—
1529C4⋊C4—22no—
1530C4⋊C4—24no—
1531C4⋊C4—24no—
1532C4⋊C4—24no—
1533C4⋊C4—22no—
1534C4⋊C4—24no—
1535C4⋊C4—22no—
1536C4⋊C4—24no—
1537C4⋊C4—24no—
1538C4⋊C4—24no—
1539C4⋊C4—24no—
1540C4⋊C4—22no—
1541C4⋊C4—24no—
1542C4⋊C4—24no—
1543C4⋊C4—22no—
1544C4⋊C4—24no—
1545C4⋊C4—42no—
1546C4⋊C4—44no—
1547C4⋊C4—42no—
1548C4⋊C4—44no—
1549C4⋊C4—44no—
1550C4⋊C4—44no—
1551C4⋊C4—44no—
1552C4⋊C4—44no—
1553C4⋊C4—44no—
1554C4⋊C4—42no—
1555C4⋊C4—42no—
1556C4⋊C4—44no—
1557C4⋊C4—42no—
1558C4⋊C4—41no—
1559C4⋊C4—44no—
1560C4⋊C4—44no—
1561C4⋊C4C22×D418yes—
1562C4⋊C4C22×D418yes—
1563C4⋊C4C22×D414yes—
1564C4⋊C4C22×D4116yes—
1565C4⋊C4C22×D414yes—
1566C4⋊C42−1+414yescomplemented
1567C22⋊C4—24no—
1568C22⋊C4—28no—
1569C22⋊C4—24no—
1570C22⋊C4—24no—
1571C22⋊C4—28no—
1572C22⋊C4—28no—
1573C22⋊C4—24no—
1574C22⋊C4—28no—
1575C22⋊C4—24no—
1576C22⋊C4—22no—
1577C22⋊C4—24no—
1578C22⋊C4—24no—
1579C22⋊C4—28no—
1580C22⋊C4—24no—
1581C22⋊C4—24no—
1582C22⋊C4—24no—
1583C22⋊C4—28no—
1584C22⋊C4—24no—
1585C22⋊C4—28no—
1586C22⋊C4—28no—
1587C22⋊C4—24no—
1588C22⋊C4—22no—
1589C22⋊C4—24no—
1590C22⋊C4—22no—
1591C22⋊C4—22no—
1592C22⋊C4—24no—
1593C22⋊C4—24no—
1594C22⋊C4—24no—
1595C22⋊C4—24no—
1596C22⋊C4—24no—
1597C22⋊C4—24no—
1598C22⋊C4—42no—
1599C22⋊C4—42no—
1600C22⋊C4—42no—
1601C22⋊C4—44no—
1602C22⋊C4—42no—
1603C22⋊C4—42no—
1604C22⋊C4—42no—
1605C22⋊C4—42no—
1606C22⋊C4—41no—
1607C22⋊C4—41no—
1608C22⋊C4—44no—
1609C22⋊C4—42no—
1610C22⋊C4—42no—
1611C22⋊C4—42no—
1612C22⋊C4—44no—
1613C22⋊C4—44no—
1614C22⋊C4—44no—
1615C22⋊C4—44no—
1616C22⋊C4—44no—
1617C22⋊C4C22×D418yes—
1618C22⋊C4C22×D418yes—
1619C22⋊C4C22×D4116yes—
1620C42—24no—
1621C42—22no—
1622C42—22no—
1623C42—22no—
1624C42—22no—
1625C42—24no—
1626C42—28no—
1627C42—24no—
1628C42—24no—
1629C42—28no—
1630C42—24no—
1631C42—22no—
1632C42—24no—
1633C42—22no—
1634C42—24no—
1635C42—24no—
1636C42—28no—
1637C42—24no—
1638C42—22no—
1639C42—22no—
1640C42—24no—
1641C42—22no—
1642C42—22no—
1643C42—22no—
1644C42—24no—
1645C42—42no—
1646C42—42no—
1647C42—41no—
1648C42—44no—
1649C42—44no—
1650C42C22×D414yes—
1651C23—22no—
1652C23—22no—
1653C23—22no—
1654C23—22no—
1655C23—21no—
1656C23—22no—
1657C23—22no—
1658C23—21no—
1659C23—21no—
1660C23—22no—
1661C23—21no—
1662C23—22no—
1663C23—21no—
1664C23—22no—
1665C23—21no—
1666C23—22no—
1667C23—21no—
1668C23—22no—
1669C23—21no—
1670C23—22no—
1671C23—21no—
1672C23—22no—
1673C23—22no—
1674C23—22no—
1675C23—21no—
1676C23—21no—
1677C23—22no—
1678C23—21no—
1679C23—22no—
1680C23—21no—
1681C23C23×D414yes—
1682C23C23×D414yes—
1683C23C22×#4112yes—
1684C23C22×#4114yes—
1685C23C2×H(5,𝔽2)14yes—
1686C23C2611yescharacteristic
1687Q8—28no—
1688Q8—216no—
1689Q8—28no—
1690Q8—416no—
1691Q8—48no—
1692Q8—416no—
1693Q8—416no—
1694Q8—416no—
1695Q8—48no—
1696Q8—44no—
1697Q8—48no—
1698D4—232no—
1699D4—216no—
1700D4—28no—
1701D4—48no—
1702D4—44no—
1703D4—48no—
1704D4—48no—
1705D4—48no—
1706D4—48no—
1707D4—48no—
1708D4—416no—
1709D4—44no—
1710D4—84no—
1711D4#546116yes—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—22no—
1715C2×C4—21no—
1716C2×C4—22no—
1717C2×C4—21no—
1718C2×C4—22no—
1719C2×C4—24no—
1720C2×C4—24no—
1721C2×C4—22no—
1722C2×C4—21no—
1723C2×C4—22no—
1724C2×C4—21no—
1725C2×C4—22no—
1726C2×C4—21no—
1727C2×C4—22no—
1728C2×C4—22no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—232no—
1733C2×C4—216no—
1734C2×C4—216no—
1735C2×C4—28no—
1736C2×C4—216no—
1737C2×C4—22no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—22no—
1741C2×C4—21no—
1742C2×C4—22no—
1743C2×C4—24no—
1744C2×C4—22no—
1745C2×C4—22no—
1746C2×C4—24no—
1747C2×C4—21no—
1748C2×C4—22no—
1749C2×C4—21no—
1750C2×C4—22no—
1751C2×C4—22no—
1752C2×C4—24no—
1753C2×C4—21no—
1754C2×C4—22no—
1755C2×C4—21no—
1756C2×C4—22no—
1757C2×C4—22no—
1758C2×C4—24no—
1759C2×C4—21no—
1760C2×C4—22no—
1761C2×C4—22no—
1762C2×C4—24no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—22no—
1767C2×C4—22no—
1768C2×C4—22no—
1769C2×C4—22no—
1770C2×C4—22no—
1771C2×C4—21no—
1772C2×C4—22no—
1773C2×C4—21no—
1774C2×C4—24no—
1775C2×C4—21no—
1776C2×C4—22no—
1777C2×C4—22no—
1778C2×C4—21no—
1779C2×C4—24no—
1780C2×C4—24no—
1781C2×C4—22no—
1782C2×C4—21no—
1783C2×C4—21no—
1784C2×C4—21no—
1785C2×C4—22no—
1786C2×C4—22no—
1787C2×C4—22no—
1788C2×C4—22no—
1789C2×C4—22no—
1790C2×C4—24no—
1791C2×C4—44no—
1792C2×C4—44no—
1793C2×C4—416no—
1794C2×C4—48no—
1795C2×C4—48no—
1796C2×C4—48no—
1797C2×C4—48no—
1798C2×C4—416no—
1799C2×C4—416no—
1800C2×C4—416no—
1801C2×C4—48no—
1802C2×C4—416no—
1803C2×C4—48no—
1804C2×C4—48no—
1805C2×C4—44no—
1806C2×C4—44no—
1807C2×C4—44no—
1808C2×C4—84no—
1809C2×C4—88no—
1810C2×C4—164no—
1811C2×C4C23×D414yes—
1812C2×C4C23×D414yes—
1813C2×C4C23×D412yes—
1814C2×C4C23×D418yes—
1815C2×C4C23×D412yes—
1816C2×C4C23×D412yes—
1817C2×C4C22×#4114yes—
1818C2×C4C22×#4112yes—
1819C2×C4C22×#4112yes—
1820C2×C4C2×H(5,𝔽2)12yes—
1821C2×C4C2×2−1+412yes—
1822C2×C4C2×2−1+412yes—
1823C2×C4C2×2−1+414yes—
1824C2×C4C2×2−1+412yes—
1825C2×C4C2×2−1+412yes—
1826C2×C4#58512yes—
1827C22—24no—
1828C22—24no—
1829C22—24no—
1830C22—24no—
1831C22—24no—
1832C22—24no—
1833C22—24no—
1834C22—22no—
1835C22—24no—
1836C22—22no—
1837C22—22no—
1838C22—24no—
1839C22—41no—
1840C22—42no—
1841C22—42no—
1842C22—41no—
1843C22—41no—
1844C22—42no—
1845C22—42no—
1846C22—41no—
1847C22—41no—
1848C22—42no—
1849C22—41no—
1850C22—42no—
1851C22—41no—
1852C22—42no—
1853C22—41no—
1854C22—42no—
1855C22—41no—
1856C22—42no—
1857C22—41no—
1858C22—42no—
1859C22—42no—
1860C22—41no—
1861C22C2×#54618yes—
1862C22C24×D411yescharacteristic
1863C22C23×#4111yescharacteristic
1864C22C22×H(5,𝔽2)11yescharacteristic
1865C22C22×2−1+411yescharacteristic
1866C22C22×2−1+411yescharacteristic
1867C22C2×#58511yescharacteristic
1868C222−1+611yescharacteristic
1869C4—22no—
1870C4—22no—
1871C4—22no—
1872C4—24no—
1873C4—24no—
1874C4—22no—
1875C4—24no—
1876C4—22no—
1877C4—24no—
1878C4—28no—
1879C4—42no—
1880C4—42no—
1881C4—42no—
1882C4—41no—
1883C4—41no—
1884C4—42no—
1885C4—41no—
1886C4—41no—
1887C4—44no—
1888C4—42no—
1889C4—41no—
1890C4—42no—
1891C4—44no—
1892C4—42no—
1893C4—41no—
1894C4—42no—
1895C4—44no—
1896C4—42no—
1897C4C2×#54614yes—
1898C4#348914yes—
1899C2—28no—
1900C2—44no—
1901C2—42no—
1902C2—81no—
1903C2—82no—
1904C2C22×#54611yescharacteristic
1905C2C2×#348911yescharacteristic
1906C2#6280511yescharacteristic
1907C2#6292111yescharacteristic
1908C2D4×2−1+411yescharacteristic
1909C2#6300111yescharacteristic
1910C2#6303711yescharacteristic
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×#3482C2semidirect
3. #59413C2semidirect
4. #59409C2semidirect
5. #59144C2semidirect
6. #59096C2semidirect
7. #59093C2semidirect
8. #59092C2semidirect
9. #59042C2semidirect
10. #59031C2semidirect
11. #45325C2semidirect
12. #45291C2semidirect
13. #44761C2semidirect
14. #44494C2semidirect
15. #39468C2semidirect
16. #39465C2semidirect
17. #38954C2semidirect
18. #38950C2semidirect
19. #37783C2semidirect
20. #37779C2semidirect
21. #36422C2semidirect
22. #36303C2semidirect
23. #36274C2semidirect
24. #36274C2semidirect
25. #36259C2semidirect
26. #36217C2semidirect
27. #36139C2semidirect
28. #36129C2semidirect
29. #36085C2semidirect
30. #36020C2semidirect
31. #34715C2semidirect
32. C2×#2451C2semidirect
33. #34308C2semidirect
34. #34259C2semidirect
35. C4×#547C2semidirect
336. #547D4semidirect
877. C2×#41#41semidirect
1354. C2×Q82−1+4semidirect
1566. C4⋊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×#34822
#594132
#594092
#591442
#590962
#590932
#590922
#590422
#590312
#453252
#452912
#447612
#444942
#394682
#394652
#389542
#389502
#377832
#377792
#364222
#363032
#362742
#362592
#362172
#361392
#361292
#360852
#360202
#347152
C2×#24512
#343082
#342592
C4×#5472