Finite Group Databasebeta

← #7690082

Subgroups — #7690082

Order 512.

7436 conjugacy classes of subgroups.

The subgroup lattice has 1906 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#59653C211yesmaximal, characteristic, complemented
4#59125C212yesmaximal, complemented
5#59113C212yesmaximal, complemented
6#59108C214yesmaximal, complemented
7#59071C211yesmaximal, characteristic, complemented
8#59061C212yesmaximal, complemented
9#59055C211yesmaximal, characteristic, complemented
10#59002C212yesmaximal, complemented
11#45333C212yesmaximal, complemented
12#45287C212yesmaximal, complemented
13#44042C214yesmaximal, complemented
14#43935C214yesmaximal, complemented
15#39488C211yesmaximal, characteristic, complemented
16#39487C212yesmaximal, complemented
17#38923C211yesmaximal, characteristic, complemented
18#38917C212yesmaximal, complemented
19#37795C212yesmaximal, complemented
20#37791C214yesmaximal, complemented
21#36423C212yesmaximal, complemented
22#36274C211yesmaximal, characteristic, complemented
23#36259C211yesmaximal, characteristic, complemented
24#36216C212yesmaximal, complemented
25#36143C212yesmaximal, complemented
26#36134C211yesmaximal, characteristic, complemented
27D4×C4⋊Q8C211yesmaximal, characteristic, complemented
28D4×C22⋊Q8C211yesmaximal, characteristic, complemented
29#35998C212yesmaximal, complemented
30#35821C212yesmaximal, complemented
31#34724C211yesmaximal, characteristic, complemented
32C2×#2429C212yesmaximal, complemented
33#34308C211yesmaximal, characteristic, complemented
34#34250C212yesmaximal, 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×#552C2212yescomplemented
45C2×#552C2214yescomplemented
46C2×#551C2214yes—
47C2×D4×Q8C2211yescharacteristic
48C2×D4×Q8C2211yescharacteristic
49C2×#548C2212yes—
50C2×#548C2212yescomplemented
51C2×#547C2211yescharacteristic
52C2×#547C2212yes—
53C2×#547C2211yescharacteristic
54C2×#547C2212yescomplemented
55C2×#546C2212yes—
56C2×#546C2211yescharacteristic
57C2×#542C2212yes—
58C2×#539C2214yes—
59C2×#533C2211yescharacteristic
60C2×#533C2211yescharacteristic, complemented
61C2×#533C2212yescomplemented
62C22×C4⋊Q8C2212yescomplemented
63C2×#529C2211yescharacteristic
64C2×#529C2212yescomplemented
65C2×#529C2214yescomplemented
66C2×#525C2212yes—
67C22×C22⋊Q8C2212yes—
68C22×C22⋊Q8C2212yes—
69C2×#520C2212yes—
70C2×#520C2212yes—
71C2×C4×#41C2211yescharacteristic
72C2×C4×#41C2212yes—
73C2×C4×#41C2211yescharacteristic, complemented
74C22×C4×Q8C2212yescomplemented
75C22×C4×D4C2211yescharacteristic
76#2868C2211yescharacteristic, complemented
77#2857C2211yescharacteristic
78#2857C2212yescomplemented
79#2857C2211yescharacteristic, complemented
80#2855C2212yescomplemented
81#2854C2212yes—
82#2853C2214yes—
83#2848C2212yes—
84#2727C2214yescomplemented
85#2726C2214yescomplemented
86#2725C2214yescomplemented
87#2725C2214yescomplemented
88#2725C2214yescomplemented
89#2723C2214yes—
90#2723C2214yescomplemented
91#2722C2214yescomplemented
92#2721C2214yescomplemented
93#2720C2214yes—
94#2720C2214yescomplemented
95#2719C2214yescomplemented
96#2718C2214yescomplemented
97#2718C2214yescomplemented
98#2715C2214yescomplemented
99#2698C2214yescomplemented
100#2695C2214yes—
101#2680C2214yescomplemented
102#2674C2214yescomplemented
103#2674C2214yescomplemented
104#2672C2214yescomplemented
105#2625C2212yescomplemented
106#2623C2214yescomplemented
107#2620C2212yes—
108#2618C2214yes—
109#2582C2211yescharacteristic, complemented
110#2568C2211yescharacteristic, complemented
111#2553C2214yescomplemented
112#2552C2212yescomplemented
113#2551C2212yescomplemented
114#2551C2212yescomplemented
115#2547C2212yescomplemented
116#2546C2211yescharacteristic, complemented
117#2546C2211yescharacteristic, complemented
118#2545C2212yes—
119#2542C2212yes—
120#2542C2211yescharacteristic
121#2542C2212yescomplemented
122#2538C2211yescharacteristic
123#2538C2212yes—
124#2534C2214yes—
125#2519C2214yescomplemented
126#2502C2212yescomplemented
127#2500C2212yes—
128#2498C2214yes—
129#2498C2214yescomplemented
130#2491C2214yescomplemented
131#2489C2212yes—
132#2489C2212yescomplemented
133#2486C2212yescomplemented
134#2485C2212yes—
135#2484C2214yescomplemented
136#2482C2214yes—
137#2479C2214yescomplemented
138#2478C2212yescomplemented
139#2475C2214yes—
140#2474C2214yescomplemented
141#2470C2212yes—
142#2470C2214yescomplemented
143#2469C2214yescomplemented
144#2469C2214yescomplemented
145#2466C2214yes—
146#2466C2212yescomplemented
147#2462C2214yescomplemented
148#2462C2214yescomplemented
149#2461C2214yes—
150#2455C2212yes—
151#2453C2212yescomplemented
152#2453C2212yescomplemented
153#2453C2211yescharacteristic, complemented
154#2452C2212yes—
155#2451C2212yescomplemented
156#2450C2214yescomplemented
157#2449C2214yes—
158#2449C2214yes—
159#2448C2212yes—
160#2448C2212yes—
161#2447C2211yescharacteristic, complemented
162#2446C2212yescomplemented
163#2446C2212yescomplemented
164#2444C2214yes—
165#2443C2214yes—
166#2443C2214yescomplemented
167#2443C2214yescomplemented
168#2441C2212yes—
169#2441C2212yescomplemented
170#2441C2212yescomplemented
171#2441C2211yescharacteristic, complemented
172#2440C2212yes—
173#2440C2214yescomplemented
174#2440C2214yescomplemented
175#2440C2214yescomplemented
176#2439C2212yescomplemented
177#2438C2214yescomplemented
178#2438C2214yescomplemented
179#2437C2214yes—
180#2434C2212yescomplemented
181#2434C2212yescomplemented
182#2432C2212yescomplemented
183#2432C2212yescomplemented
184#2432C2211yescharacteristic, complemented
185#2429C2212yes—
186#2429C2214yes—
187#2429C2212yes—
188#2429C2212yes—
189#2429C2211yescharacteristic
190#2429C2214yes—
191#2429C2212yes—
192#2429C2212yescomplemented
193#2429C2212yescomplemented
194#2429C2214yescomplemented
195#2429C2212yescomplemented
196#2429C2212yescomplemented
197#2429C2212yescomplemented
198#2429C2214yescomplemented
199#2429C2212yescomplemented
200#2427C2212yes—
201#2426C2212yes—
202#2425C2214yes—
203#2425C2214yescomplemented
204#2424C2214yes—
205#2423C2212yes—
206#2423C2212yescomplemented
207#2423C2212yescomplemented
208#2422C2211yescharacteristic
209#2421C2212yes—
210#2419C2214yescomplemented
211#2419C2214yescomplemented
212#2418C2214yes—
213#2418C2214yes—
214#2417C2212yes—
215#2417C2212yes—
216#2417C2212yescomplemented
217#2416C2214yes—
218#2416C2212yes—
219#2415C2211yescharacteristic
220#2415C2212yescomplemented
221#2415C2212yescomplemented
222#2413C2214yes—
223#2413C2214yescomplemented
224#2411C2214yes—
225#2409C2212yes—
226#2409C2212yescomplemented
227#2407C2211yescharacteristic
228#2395C2212yescomplemented
229#2392C2212yes—
230C2×#398C2214yescomplemented
231C2×#396C2214yes—
232#2367C2211yescharacteristic
233#2365C2211yescharacteristic, complemented
234#2365C2212yescomplemented
235#2365C2212yescomplemented
236#2364C2212yes—
237#2363C2211yescharacteristic
238#2362C2212yescomplemented
239#2362C2212yescomplemented
240#2361C2212yescomplemented
241#2360C2211yescharacteristic
242#2360C2212yescomplemented
243#2359C2212yes—
244#2359C2214yes—
245#2359C2214yescomplemented
246#2358C2212yes—
247#2354C2212yes—
248#2352C2211yescharacteristic
249#2351C2212yescomplemented
250#2351C2212yescomplemented
251Q8×C4⋊C4C2212yescomplemented
252Q8×C4⋊C4C2212yescomplemented
253#2349C2211yescharacteristic
254#2349C2212yes—
255#2349C2214yescomplemented
256#2349C2214yescomplemented
257D4×C4⋊C4C2211yescharacteristic
258D4×C4⋊C4C2212yes—
259D4×C4⋊C4C2212yes—
260D4×C4⋊C4C2212yes—
261D4×C4⋊C4C2211yescharacteristic, complemented
262D4×C4⋊C4C2214yescomplemented
263D4×C4⋊C4C2214yescomplemented
264#2344C2212yescomplemented
265#2342C2212yes—
266#2339C2212yes—
267#2339C2211yescharacteristic
268#2339C2212yes—
269#2339C2212yescomplemented
270D4×C22⋊C4C2211yescharacteristic
271D4×C22⋊C4C2212yes—
272#2323C2212yescomplemented
273#2322C2214yescomplemented
274#2317C2214yescomplemented
275#2317C2212yescomplemented
276#2316C2212yescomplemented
277#2316C2214yescomplemented
278C4×C4⋊Q8C2211yescharacteristic, complemented
279C4×C4⋊Q8C2211yescharacteristic, complemented
280C4×#124C2211yescharacteristic
281C4×C22⋊Q8C2211yescharacteristic
282C4×C22⋊Q8C2211yescharacteristic
283C4×C22⋊Q8C2211yescharacteristic, complemented
284C4×#123C2212yes—
285C4×#123C2212yes—
286C4×#121C2212yes—
287C4×#121C2211yescharacteristic
288C4×#121C2212yescomplemented
289C4×#120C2212yes—
290#2296C2214yescomplemented
291#2296C2212yescomplemented
292C2×#391C2212yescomplemented
293#2293C2211yescharacteristic, complemented
294C2×#389C2212yescomplemented
295C2×#389C2214yescomplemented
296C2×#389C2212yescomplemented
297C2×#388C2214yes—
298C42×D4C2211yescharacteristic
299C42×D4C2211yescharacteristic
300C2×C4×C22⋊C4C2212yes—
301C22×#41C2311yescharacteristic
302C22×#41C2311yescharacteristic
303C22×#41C2312yes—
304C22×#41C2312yes—
305C23×Q8C2312yes—
306C23×Q8C2312yes—
307C23×D4C2311yescharacteristic
308C24×C4C2312yes—
309#557—28no—
310#556—28no—
311#556—216no—
312#556—28no—
313#554—216no—
314#552—232no—
315#552—216no—
316#552—216no—
317#551—232no—
318D4×Q8—28no—
319D4×Q8—28no—
320#548—216no—
321#548—216no—
322#547—216no—
323#547—28no—
324#547—48no—
325#547D4116yescomplemented
326#546—216no—
327#546—28no—
328#542—216no—
329#539—232no—
330#533—28no—
331#533—28no—
332#533—216no—
333C2×C4⋊Q8—48no—
334C2×C4⋊Q8C2311yescharacteristic
335C2×C4⋊Q8C2311yescharacteristic
336C2×C4⋊Q8C2311yescharacteristic
337C2×C4⋊Q8C2312yes—
338C2×C4⋊Q8C2312yes—
339C2×C4⋊Q8C2312yes—
340C2×C4⋊Q8C2312yes—
341C2×C4⋊Q8C2312yes—
342C2×C4⋊Q8C2312yes—
343C2×C4⋊Q8C2314yes—
344C2×C4⋊Q8C2312yes—
345C2×C4⋊Q8C2314yes—
346C2×C4⋊Q8C2311yescharacteristic
347#529—232no—
348#529—216no—
349#529—28no—
350C2×#126C2312yes—
351C2×#126C2314yes—
352C2×#126C2314yes—
353C2×#126C2314yes—
354C2×#126C2314yes—
355C2×#126C2314yes—
356C2×#125C2311yescharacteristic
357C2×#125C2312yes—
358C2×#125C2314yes—
359C2×#125C2312yes—
360C2×#125C2312yes—
361C2×#125C2314yes—
362C2×#125C2314yes—
363C2×#124C2311yescharacteristic
364C2×#124C2311yescharacteristic
365C2×#124C2314yes—
366C2×#124C2312yes—
367C2×#124C2314yes—
368C2×#124C2312yes—
369#525—216no—
370C2×#123C2314yes—
371C2×#123C2312yes—
372C2×#123C2312yes—
373C2×#123C2314yes—
374C2×#123C2314yes—
375C2×#123C2314yes—
376C2×#123C2312yes—
377C2×#123C2314yes—
378C2×#123C2314yes—
379C2×#123C2314yes—
380C2×#123C2314yes—
381C2×C22⋊Q8—216no—
382C2×C22⋊Q8—48no—
383C2×C22⋊Q8C2312yes—
384C2×C22⋊Q8C2312yes—
385C2×C22⋊Q8C2311yescharacteristic
386C2×C22⋊Q8C2312yes—
387C2×C22⋊Q8C2312yes—
388C2×C22⋊Q8C2311yescharacteristic
389C2×C22⋊Q8C2311yescharacteristic
390C2×C22⋊Q8C2312yes—
391C2×C22⋊Q8C2312yes—
392C2×C22⋊Q8C2314yes—
393C2×C22⋊Q8C2314yes—
394C2×C22⋊Q8C2312yes—
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2314yes—
397C2×C22⋊Q8C2314yes—
398C2×C22⋊Q8C2314yes—
399C2×C22⋊Q8C2312yes—
400C2×C22⋊Q8C2312yes—
401C2×C22⋊Q8C2314yes—
402C2×C22⋊Q8C2312yes—
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2311yescharacteristic
406C2×C22⋊Q8C2312yes—
407C2×C22⋊Q8C2314yes—
408C2×C22⋊Q8C2314yes—
409C2×C22⋊Q8C2312yes—
410C2×#121C2312yes—
411C2×#121C2312yes—
412C2×#121C2311yescharacteristic
413C2×#121C2311yescharacteristic
414C2×#121C2314yes—
415C2×#121C2314yes—
416C2×#121C2314yes—
417C2×#121C2312yes—
418C2×#120C2312yes—
419C2×#120C2314yes—
420#520—216no—
421#520—216no—
422C4×#41—216no—
423C4×#41—28no—
424C4×#41—28no—
425C2×C4×Q8—216no—
426C2×C4×Q8C2312yes—
427C2×C4×Q8C2311yescharacteristic
428C2×C4×Q8C2311yescharacteristic
429C2×C4×Q8C2311yescharacteristic
430C2×C4×Q8C2312yes—
431C2×C4×Q8C2312yes—
432C2×C4×Q8C2312yes—
433C2×C4×Q8C2312yes—
434C2×C4×Q8C2312yes—
435C2×C4×Q8C2311yescharacteristic
436C2×C4×Q8C2312yes—
437C2×C4×Q8C2312yes—
438C2×C4×Q8C2312yes—
439C2×C4×Q8C2311yescharacteristic
440C2×C4×Q8C2314yes—
441C2×C4×Q8C2312yes—
442C2×C4×Q8C2314yes—
443C2×C4×D4—28no—
444C2×C4×D4C2314yes—
445C2×C4×D4C2311yescharacteristic
446C2×C4×D4C2312yes—
447C2×C4×D4C2312yes—
448C2×C4×D4C2311yescharacteristic
449C2×C4×D4C2311yescharacteristic
450C2×C4×D4C2312yes—
451C2×C4×D4C2311yescharacteristic
452C2×C4×D4C2314yes—
453C2×C4×D4C2314yes—
454C2×C4×D4C2314yes—
455C2×C4×D4C2314yes—
456C2×C4×D4C2314yes—
457C2×C4×D4C2311yescharacteristic
458C2×C4×D4C2311yescharacteristic
459C2×C4×D4C2312yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2314yes—
462C2×C4×D4C2311yescharacteristic
463C2×C4×D4C2312yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2311yescharacteristic
467C2×C4×D4C2312yes—
468C2×C4×D4C2312yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2311yescharacteristic
471C2×C4×D4C2312yes—
472C2×C4×D4C2311yescharacteristic
473C2×C4×D4C2311yescharacteristic
474C2×C4×D4C2311yescharacteristic
475C2×#117C2314yes—
476C2×#117C2312yes—
477C2×#117C2312yes—
478C2×#117C2314yes—
479C2×#117C2312yes—
480C2×#117C2314yes—
481C2×#117C2312yes—
482C2×#117C2311yescharacteristic
483C2×#117C2312yes—
484C2×#117C2312yes—
485C2×#117C2314yes—
486C2×#117C2312yes—
487C2×#117C2312yes—
488C2×#117C2311yescharacteristic
489C22×C4⋊C4C2314yes—
490C22×C4⋊C4C2312yes—
491C22×C4⋊C4C2314yes—
492C22×C4⋊C4C2312yes—
493C22×C4⋊C4C2311yescharacteristic
494C22×C4⋊C4C2314yes—
495C22×C4⋊C4C2314yes—
496C22×C4⋊C4C2314yes—
497C22×C4⋊C4C2312yes—
498C22×C4⋊C4C2314yes—
499C22×C4⋊C4C2314yes—
500C22×C4⋊C4C2312yes—
501C22×C22⋊C4C2312yes—
502C22×C22⋊C4C2312yes—
503C22×C22⋊C4C2312yes—
504C22×C22⋊C4C2314yes—
505C22×C22⋊C4C2314yes—
506C22×C42C2314yes—
507C22×C42C2312yes—
508C22×C42C2312yes—
509C22×C42C2311yescharacteristic
510C22×C42C2311yescharacteristic
511C22×C42C2312yes—
512#400C2314yes—
513#400C2314yes—
514#400C2314yes—
515#400C2314yes—
516#400C2312yes—
517#400C2314yes—
518#399C2314yes—
519#399C2314yes—
520#399C2312yes—
521#399C2314yes—
522#399C2314yes—
523#399C2314yes—
524#399C2314yes—
525#398C2314yes—
526#398C2314yes—
527#398C2314yes—
528#398C2314yes—
529#398C2314yes—
530#398C2312yes—
531#398C2314yes—
532#398C2314yes—
533#398C2314yes—
534#398C2314yes—
535#398C2314yes—
536#398C2314yes—
537#398C2312yes—
538#398C2314yes—
539#398C2314yes—
540#398C2314yes—
541#398C2314yes—
542#398C2314yes—
543#397C2312yes—
544#397C2314yes—
545#397C2314yes—
546#397C2314yes—
547#397C2312yes—
548#397C2312yes—
549#397C2312yes—
550#397C2314yes—
551#397C2314yes—
552#397C2314yes—
553#397C2314yes—
554#396C2312yes—
555#396C2314yes—
556#396C2314yes—
557#396C2314yes—
558#396C2314yes—
559#396C2312yes—
560#396C2314yes—
561#396C2314yes—
562#396C2314yes—
563#396C2314yes—
564#396C2314yes—
565#396C2314yes—
566#396C2314yes—
567#396C2314yes—
568#396C2314yes—
569#395C2314yes—
570#395C2314yes—
571#395C2314yes—
572#395C2314yes—
573#395C2314yes—
574#395C2314yes—
575#394C2314yes—
576#394C2314yes—
577#394C2314yes—
578#394C2314yes—
579#394C2312yes—
580#394C2312yes—
581#394C2312yes—
582#394C2312yes—
583#394C2312yes—
584#394C2314yes—
585#394C2314yes—
586#394C2314yes—
587#393C2314yes—
588#393C2314yes—
589#392C2312yes—
590#391C2312yes—
591#391C2311yescharacteristic
592#391C2311yescharacteristic
593#391C2312yes—
594#391C2312yes—
595#391C2312yes—
596#391C2312yes—
597#391C2312yes—
598#391C2312yes—
599#391C2311yescharacteristic
600#391C2311yescharacteristic
601#391C2312yes—
602#391C2312yes—
603#391C2312yes—
604#391C2312yes—
605#391C2311yescharacteristic
606#391C2311yescharacteristic
607#391C2314yes—
608#391C2314yes—
609#390C2311yescharacteristic
610#390C2312yes—
611#390C2311yescharacteristic
612#390C2312yes—
613#390C2314yes—
614#390C2312yes—
615#390C2311yescharacteristic
616#390C2314yes—
617#390C2311yescharacteristic
618#389C2312yes—
619#389C2312yes—
620#389C2312yes—
621#389C2312yes—
622#389C2311yescharacteristic
623#389C2314yes—
624#389C2312yes—
625#389C2314yes—
626#389C2314yes—
627#389C2314yes—
628#389C2312yes—
629#389C2312yes—
630#389C2312yes—
631#389C2314yes—
632#389C2314yes—
633#389C2314yes—
634#389C2314yes—
635#389C2312yes—
636#389C2314yes—
637#389C2314yes—
638#389C2312yes—
639#389C2312yes—
640#389C2312yes—
641#389C2312yes—
642#389C2311yescharacteristic
643#389C2311yescharacteristic
644#389C2312yes—
645#389C2312yes—
646#389C2314yes—
647#389C2312yes—
648#389C2314yes—
649#389C2312yes—
650#389C2312yes—
651#389C2312yes—
652#389C2314yes—
653#389C2314yes—
654#389C2311yescharacteristic
655#389C2314yes—
656#389C2314yes—
657#389C2312yes—
658#389C2314yes—
659#389C2312yes—
660#389C2314yes—
661#389C2314yes—
662#389C2311yescharacteristic
663#389C2314yes—
664#389C2311yescharacteristic
665#389C2312yes—
666#389C2312yes—
667#388C2312yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2312yes—
675#388C2312yes—
676#388C2312yes—
677#388C2312yes—
678#388C2314yes—
679#388C2312yes—
680#388C2314yes—
681#388C2314yes—
682#388C2312yes—
683#388C2312yes—
684#388C2314yes—
685#388C2312yes—
686#388C2314yes—
687#388C2314yes—
688#388C2314yes—
689#388C2312yes—
690#388C2314yes—
691#388C2314yes—
692#388C2312yes—
693#388C2314yes—
694#388C2314yes—
695#388C2314yes—
696#388C2314yes—
697#387C2314yes—
698#387C2314yes—
699#387C2314yes—
700#387C2312yes—
701#387C2314yes—
702#387C2314yes—
703#387C2314yes—
704#387C2314yes—
705#387C2314yes—
706#387C2312yes—
707#387C2312yes—
708#387C2314yes—
709#387C2312yes—
710#387C2314yes—
711#387C2314yes—
712#387C2314yes—
713#387C2314yes—
714#387C2314yes—
715#387C2312yes—
716#387C2312yes—
717#387C2312yes—
718#386C2314yes—
719#386C2312yes—
720#386C2314yes—
721#386C2312yes—
722#386C2314yes—
723#386C2312yes—
724#386C2314yes—
725#386C2314yes—
726#386C2312yes—
727#386C2314yes—
728#386C2314yes—
729#386C2314yes—
730#386C2312yes—
731#386C2312yes—
732#386C2314yes—
733#386C2312yes—
734#386C2312yes—
735#385C2312yes—
736#385C2314yes—
737#385C2314yes—
738#385C2314yes—
739#385C2314yes—
740#385C2314yes—
741#385C2314yes—
742#385C2314yes—
743#385C2314yes—
744#385C2314yes—
745#385C2314yes—
746#385C2314yes—
747#385C2314yes—
748#385C2312yes—
749#385C2312yes—
750#385C2314yes—
751#385C2314yes—
752#385C2314yes—
753#385C2312yes—
754#385C2312yes—
755#385C2312yes—
756#385C2312yes—
757#385C2312yes—
758#385C2312yes—
759#385C2314yes—
760#385C2314yes—
761#385C2312yes—
762#385C2312yes—
763#385C2312yes—
764#384C2311yescharacteristic
765#384C2311yescharacteristic
766#384C2312yes—
767#384C2312yes—
768#384C2314yes—
769#384C2314yes—
770#384C2312yes—
771#384C2312yes—
772#384C2312yes—
773#382C2312yes—
774#382C2311yescharacteristic
775#382C2314yes—
776#382C2314yes—
777#381C2314yes—
778#381C2312yes—
779#381C2314yes—
780#381C2314yes—
781#381C2312yes—
782#380C2312yes—
783#380C2314yes—
784#380C2314yes—
785#380C2314yes—
786#380C2314yes—
787#380C2314yes—
788#380C2312yes—
789#380C2311yescharacteristic
790#380C2312yes—
791#380C2312yes—
792#380C2312yes—
793#380C2311yescharacteristic
794#380C2312yes—
795#380C2311yescharacteristic
796#380C2312yes—
797#380C2314yes—
798#380C2312yes—
799#380C2311yescharacteristic
800#380C2314yes—
801#379C2314yes—
802#379C2312yes—
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2312yes—
805C4×C4⋊C4C2312yes—
806C4×C4⋊C4C2312yes—
807C4×C4⋊C4C2311yescharacteristic
808C4×C4⋊C4C2311yescharacteristic
809C4×C4⋊C4C2312yes—
810C4×C4⋊C4C2312yes—
811C4×C4⋊C4C2314yes—
812C4×C4⋊C4C2314yes—
813C4×C4⋊C4C2311yescharacteristic
814C4×C4⋊C4C2311yescharacteristic
815C4×C4⋊C4C2312yes—
816C4×C4⋊C4C2314yes—
817C4×C4⋊C4C2314yes—
818C4×C4⋊C4C2311yescharacteristic
819C4×C4⋊C4C2311yescharacteristic
820C4×C4⋊C4C2311yescharacteristic
821C4×C4⋊C4C2312yes—
822C4×C22⋊C4C2312yes—
823C4×C22⋊C4C2311yescharacteristic
824C4×C22⋊C4C2312yes—
825C4×C22⋊C4C2312yes—
826C4×C22⋊C4C2311yescharacteristic
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⋊C4C2312yes—
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2311yescharacteristic
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2311yescharacteristic
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2312yes—
842C4×C22⋊C4C2311yescharacteristic
843C2×#95C2312yes—
844C2×#95C2314yes—
845C2×#95C2314yes—
846C2×#95C2314yes—
847C2×#95C2312yes—
848C2×#95C2314yes—
849C43C2311yescharacteristic
850C25C2412yes—
851C2×#41—24no—
852C2×#41—24no—
853C2×#41—24no—
854C2×#41—28no—
855C2×#41—28no—
856C2×#41—24no—
857C2×#41—28no—
858C2×#41—24no—
859C2×#41—42no—
860C2×#41—44no—
861C2×#41—44no—
862C2×#41C2×D4116yes—
863C22×Q8—28no—
864C22×Q8—28no—
865C22×Q8—28no—
866C22×Q8—44no—
867C22×Q8—44no—
868C22×Q8—44no—
869C22×Q8C2412yes—
870C22×Q8C2411yescharacteristic
871C22×Q8C2411yescharacteristic
872C22×Q8C2412yes—
873C22×Q8C2414yes—
874C22×Q8C2412yes—
875C22×Q8C2411yescharacteristic
876C22×Q8C2414yes—
877C22×D4—24no—
878C22×D4—24no—
879C22×D4—24no—
880C22×D4C2412yes—
881C22×D4C2412yes—
882C22×D4C2411yescharacteristic
883C22×D4C2412yes—
884C22×D4C2411yescharacteristic
885C22×D4C2412yes—
886C22×D4C2414yes—
887C22×D4C2411yescharacteristic
888C22×D4C2412yes—
889C22×D4C2414yes—
890C22×D4C2411yescharacteristic
891C23×C4—28no—
892C23×C4—44no—
893C23×C4—44no—
894C23×C4C2412yes—
895C23×C4C2411yescharacteristic
896C23×C4C2411yescharacteristic
897C23×C4C2411yescharacteristic
898C23×C4C2412yes—
899C23×C4C2411yescharacteristic
900C23×C4C2411yescharacteristic
901C23×C4C2414yes—
902C23×C4C2412yes—
903C23×C4C2412yes—
904C23×C4C2412yes—
905C23×C4C2411yescharacteristic
906C23×C4C2412yes—
907C23×C4C2414yes—
908C23×C4C2412yes—
909C23×C4C2412yes—
910C23×C4C2414yes—
911C23×C4C2414yes—
912C23×C4C2412yes—
913C23×C4C2412yes—
914C23×C4C2414yes—
915C23×C4C2414yes—
916C23×C4C2412yes—
917C23×C4C2412yes—
918C4⋊Q8—28no—
919C4⋊Q8—24no—
920C4⋊Q8—28no—
921C4⋊Q8—28no—
922C4⋊Q8—28no—
923C4⋊Q8—24no—
924C4⋊Q8—24no—
925C4⋊Q8—44no—
926C4⋊Q8—44no—
927C4⋊Q8—44no—
928C4⋊Q8—48no—
929C4⋊Q8—48no—
930C4⋊Q8C2×D418yes—
931#126—216no—
932#126—216no—
933#126—216no—
934#126—28no—
935#126—216no—
936#126—216no—
937#125—24no—
938#125—216no—
939#125—28no—
940#125—28no—
941#125—28no—
942#125—216no—
943#125—216no—
944#124—28no—
945#124—24no—
946#124—28no—
947#124—216no—
948#124—216no—
949#124—24no—
950#123—216no—
951#123—216no—
952#123—216no—
953#123—216no—
954#123—28no—
955#123—216no—
956#123—28no—
957#123—28no—
958#123—48no—
959#123—48no—
960#123C2×D4132yes—
961C22⋊Q8—28no—
962C22⋊Q8—28no—
963C22⋊Q8—24no—
964C22⋊Q8—28no—
965C22⋊Q8—28no—
966C22⋊Q8—28no—
967C22⋊Q8—28no—
968C22⋊Q8—24no—
969C22⋊Q8—28no—
970C22⋊Q8—216no—
971C22⋊Q8—28no—
972C22⋊Q8—28no—
973C22⋊Q8—216no—
974C22⋊Q8—28no—
975C22⋊Q8—24no—
976C22⋊Q8—216no—
977C22⋊Q8—216no—
978C22⋊Q8—216no—
979C22⋊Q8—216no—
980C22⋊Q8—48no—
981C22⋊Q8—48no—
982C22⋊Q8—44no—
983C22⋊Q8—44no—
984C22⋊Q8—42no—
985C22⋊Q8—44no—
986C22⋊Q8—44no—
987C22⋊Q8C2×D4116yes—
988#121—24no—
989#121—216no—
990#121—216no—
991#121—28no—
992#121—28no—
993#121—24no—
994#121—48no—
995#121C2×D4116yes—
996#120—216no—
997#120—28no—
998C4×Q8—28no—
999C4×Q8—28no—
1000C4×Q8—28no—
1001C4×Q8—28no—
1002C4×Q8—24no—
1003C4×Q8—216no—
1004C4×Q8—28no—
1005C4×Q8—28no—
1006C4×Q8—216no—
1007C4×Q8—28no—
1008C4×Q8—24no—
1009C4×Q8—28no—
1010C4×Q8—28no—
1011C4×Q8—24no—
1012C4×Q8—24no—
1013C4×Q8—24no—
1014C4×Q8—28no—
1015C4×D4—24no—
1016C4×D4—24no—
1017C4×D4—24no—
1018C4×D4—216no—
1019C4×D4—28no—
1020C4×D4—216no—
1021C4×D4—216no—
1022C4×D4—28no—
1023C4×D4—216no—
1024C4×D4—28no—
1025C4×D4—24no—
1026C4×D4—28no—
1027C4×D4—28no—
1028C4×D4—28no—
1029C4×D4—28no—
1030C4×D4—216no—
1031C4×D4—24no—
1032C4×D4—28no—
1033C4×D4—28no—
1034C4×D4—28no—
1035C4×D4—216no—
1036C4×D4—216no—
1037C4×D4—24no—
1038C4×D4—24no—
1039C4×D4—24no—
1040C4×D4—44no—
1041C4×D4—42no—
1042C4×D4—44no—
1043C4×D4C2×D418yes—
1044C4×D4C2×D418yes—
1045C4×D4#4118yescomplemented
1046#117—216no—
1047#117—28no—
1048#117—28no—
1049#117—216no—
1050#117—24no—
1051#117—24no—
1052#117—28no—
1053#117—28no—
1054#117—28no—
1055#117—28no—
1056#117—28no—
1057#117—216no—
1058#117—216no—
1059#117—28no—
1060C2×C4⋊C4—216no—
1061C2×C4⋊C4—216no—
1062C2×C4⋊C4—28no—
1063C2×C4⋊C4—216no—
1064C2×C4⋊C4—24no—
1065C2×C4⋊C4—28no—
1066C2×C4⋊C4—48no—
1067C2×C4⋊C4—44no—
1068C2×C4⋊C4—48no—
1069C2×C4⋊C4—48no—
1070C2×C4⋊C4—48no—
1071C2×C4⋊C4C2×D4116yes—
1072C2×C4⋊C4C2411yescharacteristic
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2414yes—
1076C2×C4⋊C4C2414yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2414yes—
1079C2×C4⋊C4C2411yescharacteristic
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2414yes—
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2414yes—
1087C2×C4⋊C4C2414yes—
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2414yes—
1090C2×C4⋊C4C2414yes—
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2414yes—
1093C2×C4⋊C4C2414yes—
1094C2×C4⋊C4C2414yes—
1095C2×C4⋊C4C2414yes—
1096C2×C4⋊C4C2411yescharacteristic
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2411yescharacteristic
1100C2×C4⋊C4C2411yescharacteristic
1101C2×C4⋊C4C2414yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2414yes—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2414yes—
1110C2×C4⋊C4C2414yes—
1111C2×C4⋊C4C2414yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2411yescharacteristic
1114C2×C4⋊C4C2411yescharacteristic
1115C2×C4⋊C4C2411yescharacteristic
1116C2×C4⋊C4C2414yes—
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2411yescharacteristic
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2414yes—
1124C2×C4⋊C4C2414yes—
1125C2×C4⋊C4C2414yes—
1126C2×C4⋊C4C2414yes—
1127C2×C4⋊C4C2414yes—
1128C2×C4⋊C4C2414yes—
1129C2×C4⋊C4C2414yes—
1130C2×C4⋊C4C2414yes—
1131C2×C4⋊C4C2411yescharacteristic
1132C2×C4⋊C4C2414yes—
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2414yes—
1135C2×C4⋊C4C2414yes—
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2412yes—
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2414yes—
1141C2×C4⋊C4C2411yescharacteristic
1142C2×C4⋊C4C2411yescharacteristic
1143C2×C4⋊C4C2412yes—
1144C2×C4⋊C4C2414yes—
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2411yescharacteristic
1147C2×C22⋊C4—216no—
1148C2×C22⋊C4—28no—
1149C2×C22⋊C4—28no—
1150C2×C22⋊C4—28no—
1151C2×C22⋊C4—48no—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2411yescharacteristic
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2414yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2414yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2414yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2414yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2414yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2411yescharacteristic
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2411yescharacteristic
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2414yes—
1191C2×C22⋊C4C2414yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2414yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2411yescharacteristic
1196C2×C22⋊C4C2411yescharacteristic
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2414yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2414yes—
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2412yes—
1206C2×C22⋊C4C2414yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2411yescharacteristic
1209C2×C42—28no—
1210C2×C42—216no—
1211C2×C42—28no—
1212C2×C42—24no—
1213C2×C42—24no—
1214C2×C42—44no—
1215C2×C42C2411yescharacteristic
1216C2×C42C2412yes—
1217C2×C42C2411yescharacteristic
1218C2×C42C2414yes—
1219C2×C42C2412yes—
1220C2×C42C2414yes—
1221C2×C42C2414yes—
1222C2×C42C2412yes—
1223C2×C42C2414yes—
1224C2×C42C2412yes—
1225C2×C42C2412yes—
1226C2×C42C2414yes—
1227C2×C42C2414yes—
1228C2×C42C2411yescharacteristic
1229C2×C42C2412yes—
1230C2×C42C2411yescharacteristic
1231C2×C42C2412yes—
1232C2×C42C2412yes—
1233C2×C42C2414yes—
1234C2×C42C2411yescharacteristic
1235C2×C42C2411yescharacteristic
1236C2×C42C2412yes—
1237C2×C42C2411yescharacteristic
1238C2×C42C2411yescharacteristic
1239C2×C42C2411yescharacteristic
1240C2×C42C2411yescharacteristic
1241C2×C42C2412yes—
1242C2×C42C2412yes—
1243C2×C42C2411yescharacteristic
1244C2×C42C2411yescharacteristic
1245C2×C42C2411yescharacteristic
1246#95C2412yes—
1247#95C2411yescharacteristic
1248#95C2411yescharacteristic
1249#95C2412yes—
1250#95C2412yes—
1251#95C2414yes—
1252#95C2412yes—
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#95C2411yescharacteristic
1269#95C2411yescharacteristic
1270#95C2411yescharacteristic
1271#95C2412yes—
1272#95C2412yes—
1273#95C2411yescharacteristic
1274#95C2412yes—
1275#95C2412yes—
1276#95C2414yes—
1277#95C2412yes—
1278#95C2412yes—
1279#95C2412yes—
1280#95C2412yes—
1281#95C2412yes—
1282#95C2412yes—
1283#95C2412yes—
1284#95C2412yes—
1285#95C2414yes—
1286#95C2414yes—
1287#95C2412yes—
1288#95C2412yes—
1289#95C2412yes—
1290#95C2412yes—
1291#95C2414yes—
1292#95C2414yes—
1293#95C2414yes—
1294#95C2412yes—
1295#95C2412yes—
1296#95C2412yes—
1297#95C2414yes—
1298#95C2414yes—
1299#95C2414yes—
1300#95C2414yes—
1301#95C2414yes—
1302C24—24no—
1303C24—24no—
1304C24—24no—
1305C24—24no—
1306C24—42no—
1307C24—42no—
1308C24—42no—
1309C24C2512yes—
1310C24C2511yescharacteristic
1311C24C2512yes—
1312C24C2511yescharacteristic
1313C24C2512yes—
1314#41—264no—
1315#41—416no—
1316#41—416no—
1317#41—816no—
1318C2×Q8—22no—
1319C2×Q8—28no—
1320C2×Q8—24no—
1321C2×Q8—22no—
1322C2×Q8—22no—
1323C2×Q8—24no—
1324C2×Q8—28no—
1325C2×Q8—24no—
1326C2×Q8—22no—
1327C2×Q8—28no—
1328C2×Q8—24no—
1329C2×Q8—24no—
1330C2×Q8—22no—
1331C2×Q8—24no—
1332C2×Q8—22no—
1333C2×Q8—22no—
1334C2×Q8—24no—
1335C2×Q8—22no—
1336C2×Q8—24no—
1337C2×Q8—44no—
1338C2×Q8—44no—
1339C2×Q8—44no—
1340C2×Q8—432no—
1341C2×Q8—816no—
1342C2×Q8C22×D418yes—
1343C2×Q8H(5,𝔽2)14yes—
1344C2×D4—28no—
1345C2×D4—28no—
1346C2×D4—24no—
1347C2×D4—24no—
1348C2×D4—24no—
1349C2×D4—24no—
1350C2×D4—24no—
1351C2×D4—24no—
1352C2×D4—22no—
1353C2×D4—24no—
1354C2×D4—24no—
1355C2×D4—24no—
1356C2×D4—28no—
1357C2×D4—22no—
1358C2×D4—22no—
1359C2×D4—22no—
1360C2×D4—24no—
1361C2×D4—22no—
1362C2×D4—24no—
1363C2×D4—22no—
1364C2×D4—22no—
1365C2×D4—41no—
1366C2×D4—42no—
1367C2×D4—42no—
1368C2×D4—42no—
1369C2×D4—44no—
1370C2×D4—42no—
1371C2×D4—44no—
1372C2×D4—416no—
1373C2×D4C22×D4116yes—
1374C2×D4C22×D414yes—
1375C2×D4C22×D414yes—
1376C2×D4C2×#4114yes—
1377C2×D42−1+414yes—
1378C22×C4—28no—
1379C22×C4—28no—
1380C22×C4—24no—
1381C22×C4—24no—
1382C22×C4—24no—
1383C22×C4—24no—
1384C22×C4—24no—
1385C22×C4—24no—
1386C22×C4—28no—
1387C22×C4—24no—
1388C22×C4—24no—
1389C22×C4—24no—
1390C22×C4—22no—
1391C22×C4—24no—
1392C22×C4—24no—
1393C22×C4—28no—
1394C22×C4—24no—
1395C22×C4—28no—
1396C22×C4—28no—
1397C22×C4—22no—
1398C22×C4—22no—
1399C22×C4—22no—
1400C22×C4—22no—
1401C22×C4—22no—
1402C22×C4—22no—
1403C22×C4—24no—
1404C22×C4—22no—
1405C22×C4—22no—
1406C22×C4—28no—
1407C22×C4—24no—
1408C22×C4—22no—
1409C22×C4—24no—
1410C22×C4—22no—
1411C22×C4—24no—
1412C22×C4—24no—
1413C22×C4—22no—
1414C22×C4—24no—
1415C22×C4—22no—
1416C22×C4—22no—
1417C22×C4—22no—
1418C22×C4—22no—
1419C22×C4—24no—
1420C22×C4—24no—
1421C22×C4—24no—
1422C22×C4—28no—
1423C22×C4—42no—
1424C22×C4—42no—
1425C22×C4—42no—
1426C22×C4—41no—
1427C22×C4—41no—
1428C22×C4—42no—
1429C22×C4—42no—
1430C22×C4—44no—
1431C22×C4—42no—
1432C22×C4—44no—
1433C22×C4—42no—
1434C22×C4—44no—
1435C22×C4—44no—
1436C22×C4—44no—
1437C22×C4—42no—
1438C22×C4—42no—
1439C22×C4—42no—
1440C22×C4—42no—
1441C22×C4—42no—
1442C22×C4—44no—
1443C22×C4—44no—
1444C22×C4—44no—
1445C22×C4—44no—
1446C22×C4—816no—
1447C22×C4C22×D4116yes—
1448C22×C4C22×D418yes—
1449C22×C4C22×D418yes—
1450C22×C4C2×#4118yes—
1451C22×C4C2511yescharacteristic
1452C22×C4C2512yes—
1453C22×C4C2512yes—
1454C22×C4C2511yescharacteristic
1455C22×C4C2512yes—
1456C22×C4C2511yescharacteristic
1457C22×C4C2514yes—
1458C22×C4C2512yes—
1459C22×C4C2511yescharacteristic
1460C22×C4C2512yes—
1461C22×C4C2512yes—
1462C22×C4C2512yes—
1463C22×C4C2512yes—
1464C22×C4C2511yescharacteristic
1465C22×C4C2512yes—
1466C22×C4C2514yes—
1467C22×C4C2511yescharacteristic
1468C22×C4C2514yes—
1469C22×C4C2514yes—
1470C22×C4C2511yescharacteristic
1471C22×C4C2512yes—
1472C22×C4C2512yes—
1473C22×C4C2511yescharacteristic
1474C22×C4C2512yes—
1475C22×C4C2511yescharacteristic
1476C22×C4C2512yes—
1477C22×C4C2511yescharacteristic
1478C22×C4C2511yescharacteristic
1479C22×C4C2511yescharacteristic
1480C22×C4C2511yescharacteristic
1481C4⋊C4—22no—
1482C4⋊C4—24no—
1483C4⋊C4—24no—
1484C4⋊C4—28no—
1485C4⋊C4—24no—
1486C4⋊C4—24no—
1487C4⋊C4—28no—
1488C4⋊C4—28no—
1489C4⋊C4—28no—
1490C4⋊C4—28no—
1491C4⋊C4—28no—
1492C4⋊C4—22no—
1493C4⋊C4—24no—
1494C4⋊C4—22no—
1495C4⋊C4—24no—
1496C4⋊C4—28no—
1497C4⋊C4—24no—
1498C4⋊C4—22no—
1499C4⋊C4—24no—
1500C4⋊C4—28no—
1501C4⋊C4—24no—
1502C4⋊C4—24no—
1503C4⋊C4—28no—
1504C4⋊C4—24no—
1505C4⋊C4—28no—
1506C4⋊C4—28no—
1507C4⋊C4—24no—
1508C4⋊C4—28no—
1509C4⋊C4—24no—
1510C4⋊C4—28no—
1511C4⋊C4—24no—
1512C4⋊C4—28no—
1513C4⋊C4—28no—
1514C4⋊C4—24no—
1515C4⋊C4—24no—
1516C4⋊C4—22no—
1517C4⋊C4—24no—
1518C4⋊C4—28no—
1519C4⋊C4—22no—
1520C4⋊C4—24no—
1521C4⋊C4—28no—
1522C4⋊C4—24no—
1523C4⋊C4—24no—
1524C4⋊C4—24no—
1525C4⋊C4—28no—
1526C4⋊C4—22no—
1527C4⋊C4—22no—
1528C4⋊C4—24no—
1529C4⋊C4—24no—
1530C4⋊C4—22no—
1531C4⋊C4—42no—
1532C4⋊C4—44no—
1533C4⋊C4—44no—
1534C4⋊C4—44no—
1535C4⋊C4—44no—
1536C4⋊C4—44no—
1537C4⋊C4—44no—
1538C4⋊C4—44no—
1539C4⋊C4—44no—
1540C4⋊C4—42no—
1541C4⋊C4—42no—
1542C4⋊C4—42no—
1543C4⋊C4—42no—
1544C4⋊C4—44no—
1545C4⋊C4—41no—
1546C4⋊C4—42no—
1547C4⋊C4—44no—
1548C4⋊C4—44no—
1549C4⋊C4—44no—
1550C4⋊C4C22×D414yes—
1551C4⋊C4C22×D414yes—
1552C4⋊C4C22×D418yes—
1553C4⋊C4C22×D4116yes—
1554C4⋊C4C22×D418yes—
1555C4⋊C4C2×#4114yes—
1556C22⋊C4—24no—
1557C22⋊C4—24no—
1558C22⋊C4—28no—
1559C22⋊C4—24no—
1560C22⋊C4—28no—
1561C22⋊C4—24no—
1562C22⋊C4—24no—
1563C22⋊C4—28no—
1564C22⋊C4—28no—
1565C22⋊C4—24no—
1566C22⋊C4—28no—
1567C22⋊C4—24no—
1568C22⋊C4—24no—
1569C22⋊C4—24no—
1570C22⋊C4—24no—
1571C22⋊C4—28no—
1572C22⋊C4—24no—
1573C22⋊C4—24no—
1574C22⋊C4—28no—
1575C22⋊C4—28no—
1576C22⋊C4—24no—
1577C22⋊C4—24no—
1578C22⋊C4—28no—
1579C22⋊C4—28no—
1580C22⋊C4—22no—
1581C22⋊C4—24no—
1582C22⋊C4—24no—
1583C22⋊C4—24no—
1584C22⋊C4—24no—
1585C22⋊C4—24no—
1586C22⋊C4—22no—
1587C22⋊C4—24no—
1588C22⋊C4—24no—
1589C22⋊C4—28no—
1590C22⋊C4—24no—
1591C22⋊C4—24no—
1592C22⋊C4—22no—
1593C22⋊C4—24no—
1594C22⋊C4—44no—
1595C22⋊C4—44no—
1596C22⋊C4—42no—
1597C22⋊C4—42no—
1598C22⋊C4—44no—
1599C22⋊C4—42no—
1600C22⋊C4—41no—
1601C22⋊C4—41no—
1602C22⋊C4—44no—
1603C22⋊C4—42no—
1604C22⋊C4—42no—
1605C22⋊C4—44no—
1606C22⋊C4—44no—
1607C22⋊C4—42no—
1608C22⋊C4C22×D418yes—
1609C22⋊C4C22×D418yes—
1610C22⋊C4C22×D4116yes—
1611C22⋊C4C2×#4118yes—
1612C22⋊C42−1+414yes—
1613C42—24no—
1614C42—22no—
1615C42—22no—
1616C42—22no—
1617C42—24no—
1618C42—22no—
1619C42—28no—
1620C42—24no—
1621C42—24no—
1622C42—28no—
1623C42—22no—
1624C42—24no—
1625C42—22no—
1626C42—28no—
1627C42—24no—
1628C42—28no—
1629C42—28no—
1630C42—24no—
1631C42—28no—
1632C42—28no—
1633C42—24no—
1634C42—22no—
1635C42—24no—
1636C42—22no—
1637C42—22no—
1638C42—22no—
1639C42—42no—
1640C42—42no—
1641C42—41no—
1642C42C22×D414yes—
1643C42C2×#4114yes—
1644C23—22no—
1645C23—22no—
1646C23—22no—
1647C23—22no—
1648C23—21no—
1649C23—21no—
1650C23—22no—
1651C23—21no—
1652C23—22no—
1653C23—22no—
1654C23—22no—
1655C23—21no—
1656C23—21no—
1657C23—22no—
1658C23—22no—
1659C23—21no—
1660C23—21no—
1661C23—22no—
1662C23—22no—
1663C23—21no—
1664C23—22no—
1665C23—21no—
1666C23—22no—
1667C23—21no—
1668C23—21no—
1669C23—22no—
1670C23—21no—
1671C23—22no—
1672C23—22no—
1673C23—21no—
1674C23—48no—
1675C23—48no—
1676C23—48no—
1677C23—48no—
1678C23—84no—
1679C23—84no—
1680C23—84no—
1681C23C23×D414yes—
1682C23C23×D414yes—
1683C23C22×#4114yes—
1684C23C2×2−1+412yes—
1685C23C2×2−1+414yes—
1686C23C2611yescharacteristic
1687Q8—216no—
1688Q8—28no—
1689Q8—416no—
1690Q8—44no—
1691Q8—48no—
1692Q8—44no—
1693Q8—48no—
1694Q8—88no—
1695D4—232no—
1696D4—28no—
1697D4—44no—
1698D4—48no—
1699D4—48no—
1700D4—48no—
1701D4—48no—
1702D4—44no—
1703D4—84no—
1704D4—88no—
1705D4#547116yescomplemented
1706C2×C4—21no—
1707C2×C4—22no—
1708C2×C4—24no—
1709C2×C4—22no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—22no—
1713C2×C4—22no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—22no—
1718C2×C4—24no—
1719C2×C4—21no—
1720C2×C4—22no—
1721C2×C4—22no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—22no—
1725C2×C4—21no—
1726C2×C4—232no—
1727C2×C4—216no—
1728C2×C4—216no—
1729C2×C4—21no—
1730C2×C4—22no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—22no—
1734C2×C4—22no—
1735C2×C4—24no—
1736C2×C4—21no—
1737C2×C4—22no—
1738C2×C4—21no—
1739C2×C4—22no—
1740C2×C4—22no—
1741C2×C4—24no—
1742C2×C4—22no—
1743C2×C4—24no—
1744C2×C4—22no—
1745C2×C4—21no—
1746C2×C4—22no—
1747C2×C4—21no—
1748C2×C4—22no—
1749C2×C4—24no—
1750C2×C4—22no—
1751C2×C4—21no—
1752C2×C4—24no—
1753C2×C4—22no—
1754C2×C4—24no—
1755C2×C4—21no—
1756C2×C4—22no—
1757C2×C4—21no—
1758C2×C4—22no—
1759C2×C4—22no—
1760C2×C4—22no—
1761C2×C4—22no—
1762C2×C4—21no—
1763C2×C4—22no—
1764C2×C4—22no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—22no—
1768C2×C4—21no—
1769C2×C4—22no—
1770C2×C4—21no—
1771C2×C4—24no—
1772C2×C4—21no—
1773C2×C4—22no—
1774C2×C4—22no—
1775C2×C4—24no—
1776C2×C4—21no—
1777C2×C4—22no—
1778C2×C4—22no—
1779C2×C4—22no—
1780C2×C4—22no—
1781C2×C4—24no—
1782C2×C4—21no—
1783C2×C4—48no—
1784C2×C4—44no—
1785C2×C4—48no—
1786C2×C4—48no—
1787C2×C4—44no—
1788C2×C4—48no—
1789C2×C4—416no—
1790C2×C4—48no—
1791C2×C4—48no—
1792C2×C4—44no—
1793C2×C4—44no—
1794C2×C4—44no—
1795C2×C4—48no—
1796C2×C4—44no—
1797C2×C4—88no—
1798C2×C4—84no—
1799C2×C4—84no—
1800C2×C4—88no—
1801C2×C4—84no—
1802C2×C4—88no—
1803C2×C4—88no—
1804C2×C4C23×D414yes—
1805C2×C4C23×D418yes—
1806C2×C4C23×D412yes—
1807C2×C4C23×D414yes—
1808C2×C4C23×D412yes—
1809C2×C4C23×D412yes—
1810C2×C4C22×#4112yes—
1811C2×C4C22×#4114yes—
1812C2×C4C22×#4112yes—
1813C2×C4C22×#4112yes—
1814C2×C4C2×H(5,𝔽2)14yes—
1815C2×C4C2×H(5,𝔽2)12yes—
1816C2×C4C2×2−1+412yes—
1817C2×C4C2×2−1+412yes—
1818C2×C4C2×2−1+412yes—
1819C2×C4#58512yes—
1820C22—24no—
1821C22—24no—
1822C22—24no—
1823C22—24no—
1824C22—24no—
1825C22—24no—
1826C22—22no—
1827C22—24no—
1828C22—22no—
1829C22—24no—
1830C22—22no—
1831C22—24no—
1832C22—42no—
1833C22—41no—
1834C22—42no—
1835C22—41no—
1836C22—42no—
1837C22—42no—
1838C22—41no—
1839C22—41no—
1840C22—41no—
1841C22—42no—
1842C22—41no—
1843C22—42no—
1844C22—41no—
1845C22—42no—
1846C22—42no—
1847C22—41no—
1848C22—41no—
1849C22—42no—
1850C22—41no—
1851C22—42no—
1852C22—41no—
1853C22—42no—
1854C22—816no—
1855C22C2×#54718yes—
1856C22C24×D411yescharacteristic
1857C22C23×#4111yescharacteristic
1858C22C22×H(5,𝔽2)11yescharacteristic
1859C22C22×2−1+411yescharacteristic
1860C22C22×2−1+411yescharacteristic
1861C22C2×#58511yescharacteristic
1862C222−1+611yescharacteristic
1863C4—22no—
1864C4—24no—
1865C4—22no—
1866C4—22no—
1867C4—22no—
1868C4—24no—
1869C4—24no—
1870C4—22no—
1871C4—24no—
1872C4—28no—
1873C4—44no—
1874C4—42no—
1875C4—41no—
1876C4—42no—
1877C4—42no—
1878C4—42no—
1879C4—42no—
1880C4—41no—
1881C4—42no—
1882C4—41no—
1883C4—44no—
1884C4—44no—
1885C4—42no—
1886C4—42no—
1887C4—41no—
1888C4—41no—
1889C4—41no—
1890C4—42no—
1891C4C2×#54714yes—
1892C4#348814yes—
1893C2—28no—
1894C2—44no—
1895C2—42no—
1896C2—81no—
1897C2—82no—
1898C2C22×#54711yescharacteristic
1899C2C2×#348811yescharacteristic
1900C2#6280511yescharacteristic
1901C2#6295011yescharacteristic
1902C2#6298411yescharacteristic
1903C2D4×2−1+411yescharacteristic
1904C2#6301611yescharacteristic
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. #59653C2semidirect
4. #59125C2semidirect
5. #59113C2semidirect
6. #59108C2semidirect
7. #59071C2semidirect
8. #59061C2semidirect
9. #59055C2semidirect
10. #59002C2semidirect
11. #45333C2semidirect
12. #45287C2semidirect
13. #44042C2semidirect
14. #43935C2semidirect
15. #39488C2semidirect
16. #39487C2semidirect
17. #38923C2semidirect
18. #38917C2semidirect
19. #37795C2semidirect
20. #37791C2semidirect
21. #36423C2semidirect
22. #36274C2semidirect
23. #36259C2semidirect
24. #36216C2semidirect
25. #36143C2semidirect
26. #36134C2semidirect
27. D4×C4⋊Q8C2semidirect
28. D4×C22⋊Q8C2semidirect
29. #35998C2semidirect
30. #35821C2semidirect
31. #34724C2semidirect
32. C2×#2429C2semidirect
33. #34308C2semidirect
34. #34250C2semidirect
35. C4×#546C2semidirect
38. C2×#557C22semidirect
40. C2×#556C22semidirect
41. C2×#556C22semidirect
44. C2×#552C22semidirect
45. C2×#552C22semidirect
50. C2×#548C22semidirect
54. C2×#547C22semidirect
60. C2×#533C22semidirect
61. C2×#533C22semidirect
62. C22×C4⋊Q8C22semidirect
64. C2×#529C22semidirect
65. C2×#529C22semidirect
73. C2×C4×#41C22semidirect
74. C22×C4×Q8C22semidirect
76. #2868C22semidirect
78. #2857C22semidirect
79. #2857C22semidirect
80. #2855C22semidirect
84. #2727C22semidirect
85. #2726C22semidirect
86. #2725C22semidirect
87. #2725C22semidirect
88. #2725C22semidirect
90. #2723C22semidirect
91. #2722C22semidirect
92. #2721C22semidirect
94. #2720C22semidirect
95. #2719C22semidirect
96. #2718C22semidirect
97. #2718C22semidirect
98. #2715C22semidirect
99. #2698C22semidirect
101. #2680C22semidirect
102. #2674C22semidirect
103. #2674C22semidirect
104. #2672C22semidirect
105. #2625C22semidirect
106. #2623C22semidirect
109. #2582C22semidirect
110. #2568C22semidirect
111. #2553C22semidirect
112. #2552C22semidirect
113. #2551C22semidirect
114. #2551C22semidirect
115. #2547C22semidirect
116. #2546C22semidirect
117. #2546C22semidirect
121. #2542C22semidirect
125. #2519C22semidirect
126. #2502C22semidirect
129. #2498C22semidirect
130. #2491C22semidirect
132. #2489C22semidirect
133. #2486C22semidirect
135. #2484C22semidirect
137. #2479C22semidirect
138. #2478C22semidirect
140. #2474C22semidirect
142. #2470C22semidirect
143. #2469C22semidirect
144. #2469C22semidirect
146. #2466C22semidirect
147. #2462C22semidirect
148. #2462C22semidirect
151. #2453C22semidirect
152. #2453C22semidirect
153. #2453C22semidirect
155. #2451C22semidirect
156. #2450C22semidirect
161. #2447C22semidirect
162. #2446C22semidirect
163. #2446C22semidirect
166. #2443C22semidirect
167. #2443C22semidirect
169. #2441C22semidirect
170. #2441C22semidirect
171. #2441C22semidirect
173. #2440C22semidirect
174. #2440C22semidirect
175. #2440C22semidirect
176. #2439C22semidirect
177. #2438C22semidirect
178. #2438C22semidirect
180. #2434C22semidirect
181. #2434C22semidirect
182. #2432C22semidirect
183. #2432C22semidirect
184. #2432C22semidirect
192. #2429C22semidirect
193. #2429C22semidirect
194. #2429C22semidirect
195. #2429C22semidirect
196. #2429C22semidirect
197. #2429C22semidirect
198. #2429C22semidirect
199. #2429C22semidirect
203. #2425C22semidirect
206. #2423C22semidirect
207. #2423C22semidirect
210. #2419C22semidirect
211. #2419C22semidirect
216. #2417C22semidirect
220. #2415C22semidirect
221. #2415C22semidirect
223. #2413C22semidirect
226. #2409C22semidirect
228. #2395C22semidirect
230. C2×#398C22semidirect
233. #2365C22semidirect
234. #2365C22semidirect
235. #2365C22semidirect
238. #2362C22semidirect
239. #2362C22semidirect
240. #2361C22semidirect
242. #2360C22semidirect
245. #2359C22semidirect
249. #2351C22semidirect
250. #2351C22semidirect
251. Q8×C4⋊C4C22semidirect
252. Q8×C4⋊C4C22semidirect
255. #2349C22semidirect
256. #2349C22semidirect
261. D4×C4⋊C4C22semidirect
262. D4×C4⋊C4C22semidirect
263. D4×C4⋊C4C22semidirect
264. #2344C22semidirect
269. #2339C22semidirect
272. #2323C22semidirect
273. #2322C22semidirect
274. #2317C22semidirect
275. #2317C22semidirect
276. #2316C22semidirect
277. #2316C22semidirect
278. C4×C4⋊Q8C22semidirect
279. C4×C4⋊Q8C22semidirect
283. C4×C22⋊Q8C22semidirect
288. C4×#121C22semidirect
290. #2296C22semidirect
291. #2296C22semidirect
292. C2×#391C22semidirect
293. #2293C22semidirect
294. C2×#389C22semidirect
295. C2×#389C22semidirect
296. C2×#389C22semidirect
325. #547D4semidirect
1045. C4×D4#41semidirect
1705. D4#547semidirect

Maximal subgroups

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

subgroupindex
C2×#35202
C2×#34822
#596532
#591252
#591132
#591082
#590712
#590612
#590552
#590022
#453332
#452872
#440422
#439352
#394882
#394872
#389232
#389172
#377952
#377912
#364232
#362742
#362592
#362162
#361432
#361342
D4×C4⋊Q82
D4×C22⋊Q82
#359982
#358212
#347242
C2×#24292
#343082
#342502
C4×#5462