Finite Group Databasebeta

← #7806355

Subgroups — #7806355

Order 512.

7112 conjugacy classes of subgroups.

The subgroup lattice has 1893 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3523C211yesmaximal, characteristic, complemented
2C2×#3520C211yesmaximal, characteristic, complemented
3#59821C211yesmaximal, characteristic, complemented
4#59817C211yesmaximal, characteristic, complemented
5#59654C211yesmaximal, characteristic, complemented
6#59653C211yesmaximal, characteristic, complemented
7#59418C211yesmaximal, characteristic, complemented
8#59418C211yesmaximal, characteristic, complemented
9#59413C211yesmaximal, characteristic, complemented
10#59410C211yesmaximal, characteristic, complemented
11#59113C212yesmaximal, complemented
12#59094C212yesmaximal, complemented
13#59076C212yesmaximal, complemented
14#59046C212yesmaximal, complemented
15#59022C212yesmaximal, complemented
16#59014C212yesmaximal, complemented
17#59005C212yesmaximal, complemented
18#58998C212yesmaximal, complemented
19#47680C214yesmaximal, complemented
20#47677C214yesmaximal, complemented
21#42804C212yesmaximal, complemented
22#42803C212yesmaximal, complemented
23#42800C212yesmaximal, complemented
24#42799C212yesmaximal, complemented
25#41984C214yesmaximal, complemented
26#37620C211yesmaximal, characteristic, complemented
27#35832C212yesmaximal, complemented
28#35825C214yesmaximal, complemented
29#35816C212yesmaximal, complemented
30#35787C212yesmaximal, complemented
31#35771C212yesmaximal, complemented
32#34972C211yesmaximal, characteristic, complemented
33#34965C211yesmaximal, characteristic, complemented
34C2×#2538C211yesmaximal, characteristic, complemented
35#34214C211yesmaximal, characteristic, complemented
36#3523—216no—
37#3520—216no—
38C2×#557C2211yescharacteristic, complemented
39C2×#557C2211yescharacteristic, complemented
40C2×#557C2212yescomplemented
41C2×#556C2211yescharacteristic
42C2×#556C2211yescharacteristic, complemented
43C2×#556C2212yescomplemented
44C2×#554C2212yes—
45C2×#552C2214yes—
46C2×#552C2212yes—
47C2×#552C2212yes—
48C2×#551C2214yes—
49C2×D4×Q8C2211yescharacteristic
50C2×D4×Q8C2212yes—
51C2×D4×Q8C2211yescharacteristic, complemented
52C2×D4×Q8C2212yescomplemented
53C2×#548C2212yes—
54C2×#548C2212yescomplemented
55C2×#547C2211yescharacteristic
56C2×#547C2211yescharacteristic
57C2×#546C2212yes—
58C2×#542C2212yes—
59C2×#541C2212yescomplemented
60C2×#541C2214yescomplemented
61C2×#539C2214yes—
62C2×#533C2212yes—
63C2×#533C2211yescharacteristic
64C2×#529C2211yescharacteristic
65C2×#529C2211yescharacteristic
66C2×#529C2212yes—
67C2×#525C2212yes—
68C22×C22⋊Q8C2212yes—
69C22×C22⋊Q8C2212yes—
70C2×#520C2212yes—
71C2×#519C2212yescomplemented
72C22×C4×Q8C2211yescharacteristic
73C22×C4×D4C2211yescharacteristic
74#2823C2214yescomplemented
75#2823C2214yescomplemented
76#2820C2214yescomplemented
77#2727C2214yescomplemented
78#2726C2214yescomplemented
79#2725C2214yescomplemented
80#2725C2214yescomplemented
81#2723C2214yescomplemented
82#2720C2214yescomplemented
83#2714C2214yes—
84#2711C2214yes—
85#2707C2214yes—
86#2707C2214yescomplemented
87#2707C2214yescomplemented
88#2705C2214yes—
89#2705C2214yescomplemented
90#2705C2214yescomplemented
91#2704C2214yescomplemented
92#2702C2214yescomplemented
93#2694C2214yescomplemented
94#2690C2214yescomplemented
95#2683C2214yescomplemented
96#2683C2214yescomplemented
97#2681C2214yescomplemented
98#2681C2214yescomplemented
99#2677C2214yescomplemented
100#2674C2214yescomplemented
101#2664C2214yescomplemented
102#2662C2214yescomplemented
103#2637C2214yescomplemented
104#2636C2214yescomplemented
105#2629C2214yescomplemented
106#2629C2212yescomplemented
107#2629C2212yescomplemented
108#2620C2214yescomplemented
109#2620C2212yescomplemented
110#2620C2212yescomplemented
111#2618C2214yes—
112#2609C2214yescomplemented
113#2604C2212yescomplemented
114#2604C2212yescomplemented
115#2603C2212yes—
116#2603C2212yes—
117#2601C2214yescomplemented
118#2601C2214yescomplemented
119#2582C2211yescharacteristic, complemented
120#2566C2211yescharacteristic
121#2566C2211yescharacteristic
122#2566C2214yescomplemented
123#2565C2211yescharacteristic, complemented
124#2565C2211yescharacteristic, complemented
125#2558C2214yescomplemented
126#2558C2214yescomplemented
127#2556C2214yescomplemented
128#2554C2214yescomplemented
129#2551C2212yescomplemented
130#2550C2212yescomplemented
131#2548C2212yes—
132#2545C2212yes—
133#2545C2211yescharacteristic, complemented
134#2545C2214yescomplemented
135#2545C2211yescharacteristic, complemented
136#2544C2211yescharacteristic
137#2544C2211yescharacteristic
138#2542C2212yescomplemented
139#2540C2212yescomplemented
140#2539C2214yes—
141#2538C2211yescharacteristic
142#2538C2211yescharacteristic
143#2538C2211yescharacteristic
144#2538C2211yescharacteristic
145#2538C2212yes—
146#2538C2212yes—
147#2538C2214yes—
148#2538C2212yes—
149#2538C2212yes—
150#2538C2214yescomplemented
151#2538C2211yescharacteristic, complemented
152#2538C2212yescomplemented
153#2538C2211yescharacteristic, complemented
154#2537C2211yescharacteristic, complemented
155#2536C2212yescomplemented
156#2519C2214yescomplemented
157#2512C2214yescomplemented
158#2504C2211yescharacteristic
159#2503C2211yescharacteristic
160#2502C2211yescharacteristic
161#2501C2211yescharacteristic
162#2491C2212yes—
163#2490C2212yes—
164#2490C2212yescomplemented
165#2489C2212yescomplemented
166#2488C2214yes—
167#2481C2214yescomplemented
168#2475C2214yescomplemented
169#2472C2214yes—
170#2471C2214yes—
171#2467C2214yescomplemented
172#2463C2214yescomplemented
173#2462C2214yescomplemented
174#2461C2214yescomplemented
175#2458C2214yes—
176#2454C2212yes—
177#2454C2214yescomplemented
178#2452C2212yes—
179#2452C2212yescomplemented
180#2452C2214yescomplemented
181#2452C2214yescomplemented
182#2451C2212yescomplemented
183#2449C2214yes—
184#2449C2214yes—
185#2449C2214yescomplemented
186#2448C2212yes—
187#2448C2212yes—
188#2448C2212yescomplemented
189#2446C2212yescomplemented
190#2442C2212yescomplemented
191#2442C2212yescomplemented
192#2442C2214yescomplemented
193#2441C2212yescomplemented
194#2440C2214yes—
195#2440C2212yescomplemented
196#2440C2214yescomplemented
197#2438C2214yes—
198#2437C2214yes—
199#2436C2211yescharacteristic
200#2435C2211yescharacteristic
201#2434C2211yescharacteristic
202#2434C2212yescomplemented
203#2433C2211yescharacteristic
204#2432C2212yes—
205#2432C2212yescomplemented
206#2431C2212yes—
207#2429C2212yescomplemented
208#2429C2212yescomplemented
209#2429C2212yescomplemented
210#2429C2212yescomplemented
211#2429C2214yescomplemented
212#2428C2212yes—
213#2426C2212yes—
214#2426C2214yes—
215#2426C2212yescomplemented
216#2426C2212yescomplemented
217#2425C2214yes—
218#2424C2214yes—
219#2423C2212yescomplemented
220#2423C2212yescomplemented
221#2421C2212yescomplemented
222#2421C2212yescomplemented
223#2417C2212yes—
224#2417C2212yes—
225#2417C2212yescomplemented
226#2416C2212yes—
227#2416C2212yes—
228#2415C2212yescomplemented
229#2415C2214yescomplemented
230#2415C2212yescomplemented
231#2414C2214yes—
232#2414C2212yescomplemented
233#2413C2212yes—
234#2413C2212yes—
235#2412C2214yes—
236#2411C2212yes—
237#2411C2214yes—
238#2411C2212yes—
239#2409C2212yescomplemented
240#2409C2212yescomplemented
241#2409C2212yescomplemented
242#2407C2212yescomplemented
243#2396C2212yescomplemented
244#2396C2212yescomplemented
245#2396C2214yescomplemented
246#2392C2212yes—
247#2392C2212yes—
248#2392C2214yescomplemented
249C2×#396C2214yes—
250#2367C2212yes—
251#2366C2212yes—
252#2362C2212yescomplemented
253#2361C2214yes—
254#2361C2212yescomplemented
255#2360C2212yes—
256#2360C2212yes—
257#2360C2212yes—
258#2360C2212yes—
259#2360C2212yescomplemented
260#2360C2212yescomplemented
261#2359C2214yes—
262#2358C2214yes—
263#2355C2212yescomplemented
264#2355C2212yescomplemented
265#2354C2212yescomplemented
266#2352C2212yescomplemented
267#2351C2212yescomplemented
268Q8×C4⋊C4C2212yescomplemented
269Q8×C4⋊C4C2212yescomplemented
270Q8×C4⋊C4C2212yescomplemented
271#2342C2214yes—
272#2341C2212yes—
273#2341C2212yes—
274#2341C2212yescomplemented
275Q8×C22⋊C4C2212yescomplemented
276#2330C2212yescomplemented
277#2330C2212yescomplemented
278#2317C2212yes—
279C4×C4⋊Q8C2211yescharacteristic, complemented
280C4×C4⋊Q8C2211yescharacteristic, complemented
281C4×C4⋊Q8C2211yescharacteristic, complemented
282C4×C4⋊Q8C2211yescharacteristic, complemented
283C4×C4⋊Q8C2211yescharacteristic, complemented
284C4×C4⋊Q8C2211yescharacteristic, complemented
285C4×#127C2211yescharacteristic
286C4×#127C2211yescharacteristic
287C4×#124C2211yescharacteristic
288C4×#124C2211yescharacteristic
289C4×#124C2211yescharacteristic, complemented
290C4×#124C2211yescharacteristic, complemented
291C4×#123C2212yes—
292C4×#123C2212yes—
293C4×#120C2212yes—
294C4×#120C2212yes—
295C2×#390C2212yes—
296C2×#389C2212yes—
297C2×#384C2211yescharacteristic
298C2×#380C2212yes—
299#2274C2212yes—
300C4×#117C2211yescharacteristic
301C22×#41C2312yes—
302C22×#41C2312yes—
303C23×Q8C2311yescharacteristic
304C23×Q8C2312yes—
305C23×Q8C2312yes—
306C23×D4C2311yescharacteristic
307C24×C4C2312yes—
308#557—28no—
309#557—28no—
310#557—216no—
311#556—28no—
312#556—28no—
313#556—216no—
314#554—216no—
315#552—216no—
316#552—216no—
317#552—232no—
318#551—232no—
319D4×Q8—28no—
320D4×Q8—28no—
321D4×Q8—216no—
322D4×Q8—48no—
323#548—216no—
324#548—48no—
325#547—28no—
326#547—28no—
327#546—216no—
328#542—216no—
329#541—232no—
330#541—216no—
331#539—232no—
332#533—216no—
333#533D4116yescomplemented
334C2×C4⋊Q8C2311yescharacteristic
335C2×C4⋊Q8C2314yes—
336C2×C4⋊Q8C2312yes—
337C2×C4⋊Q8C2312yes—
338C2×C4⋊Q8C2312yes—
339C2×C4⋊Q8C2312yes—
340C2×C4⋊Q8C2311yescharacteristic
341C2×C4⋊Q8C2314yes—
342C2×C4⋊Q8C2311yescharacteristic
343C2×C4⋊Q8C2311yescharacteristic
344C2×#127C2311yescharacteristic
345C2×#127C2311yescharacteristic
346#529—216no—
347#529—28no—
348#529—28no—
349C2×#126C2312yes—
350C2×#126C2312yes—
351C2×#126C2314yes—
352C2×#126C2314yes—
353C2×#126C2314yes—
354C2×#126C2314yes—
355C2×#126C2314yes—
356C2×#126C2314yes—
357C2×#125C2314yes—
358C2×#125C2311yescharacteristic
359C2×#125C2311yescharacteristic
360C2×#125C2312yes—
361C2×#125C2314yes—
362C2×#125C2314yes—
363C2×#125C2314yes—
364C2×#125C2312yes—
365C2×#125C2314yes—
366C2×#125C2314yes—
367C2×#125C2312yes—
368C2×#124C2314yes—
369C2×#124C2311yescharacteristic
370C2×#124C2311yescharacteristic
371C2×#124C2311yescharacteristic
372C2×#124C2312yes—
373C2×#124C2311yescharacteristic
374C2×#124C2312yes—
375C2×#124C2314yes—
376C2×#124C2311yescharacteristic
377C2×#124C2311yescharacteristic
378#525—216no—
379C2×#123C2312yes—
380C2×#123C2312yes—
381C2×#123C2312yes—
382C2×#123C2314yes—
383C2×#123C2314yes—
384C2×#123C2314yes—
385C2×#123C2314yes—
386C2×#123C2314yes—
387C2×#123C2312yes—
388C2×C22⋊Q8—216no—
389C2×C22⋊Q8—48no—
390C2×C22⋊Q8C2312yes—
391C2×C22⋊Q8C2312yes—
392C2×C22⋊Q8C2312yes—
393C2×C22⋊Q8C2312yes—
394C2×C22⋊Q8C2312yes—
395C2×C22⋊Q8C2311yescharacteristic
396C2×C22⋊Q8C2312yes—
397C2×C22⋊Q8C2314yes—
398C2×C22⋊Q8C2314yes—
399C2×C22⋊Q8C2312yes—
400C2×C22⋊Q8C2314yes—
401C2×C22⋊Q8C2311yescharacteristic
402C2×C22⋊Q8C2314yes—
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2314yes—
405C2×C22⋊Q8C2314yes—
406C2×C22⋊Q8C2314yes—
407C2×C22⋊Q8C2312yes—
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2314yes—
410C2×C22⋊Q8C2312yes—
411C2×C22⋊Q8C2312yes—
412C2×C22⋊Q8C2314yes—
413C2×C22⋊Q8C2314yes—
414C2×C22⋊Q8C2314yes—
415C2×C22⋊Q8C2314yes—
416C2×C22⋊Q8C2312yes—
417C2×C22⋊Q8C2312yes—
418C2×#121C2311yescharacteristic
419C2×#121C2312yes—
420C2×#121C2314yes—
421C2×#121C2311yescharacteristic
422C2×#121C2312yes—
423C2×#121C2314yes—
424C2×#121C2312yes—
425C2×#121C2312yes—
426C2×#121C2314yes—
427C2×#120C2312yes—
428C2×#120C2314yes—
429C2×#120C2312yes—
430#520—216no—
431#519—216no—
432C2×C4×Q8—28no—
433C2×C4×Q8C2311yescharacteristic
434C2×C4×Q8C2311yescharacteristic
435C2×C4×Q8C2311yescharacteristic
436C2×C4×Q8C2311yescharacteristic
437C2×C4×Q8C2311yescharacteristic
438C2×C4×Q8C2311yescharacteristic
439C2×C4×Q8C2312yes—
440C2×C4×Q8C2312yes—
441C2×C4×Q8C2312yes—
442C2×C4×Q8C2312yes—
443C2×C4×Q8C2312yes—
444C2×C4×Q8C2312yes—
445C2×C4×Q8C2312yes—
446C2×C4×Q8C2314yes—
447C2×C4×Q8C2312yes—
448C2×C4×Q8C2314yes—
449C2×C4×Q8C2312yes—
450C2×C4×Q8C2312yes—
451C2×C4×Q8C2312yes—
452C2×C4×Q8C2312yes—
453C2×C4×Q8C2312yes—
454C2×C4×Q8C2312yes—
455C2×C4×D4—28no—
456C2×C4×D4C2311yescharacteristic
457C2×C4×D4C2311yescharacteristic
458C2×C4×D4C2311yescharacteristic
459C2×C4×D4C2311yescharacteristic
460C2×C4×D4C2311yescharacteristic
461C2×C4×D4C2314yes—
462C2×C4×D4C2312yes—
463C2×C4×D4C2314yes—
464C2×C4×D4C2314yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2312yes—
467C2×C4×D4C2312yes—
468C2×C4×D4C2314yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2311yescharacteristic
472C2×C4×D4C2312yes—
473C2×C4×D4C2312yes—
474C2×C4×D4C2312yes—
475C2×C4×D4C2312yes—
476C2×C4×D4C2314yes—
477C2×C4×D4C2314yes—
478C2×#117C2314yes—
479C2×#117C2314yes—
480C2×#117C2314yes—
481C2×#117C2312yes—
482C2×#117C2312yes—
483C2×#117C2312yes—
484C2×#117C2312yes—
485C2×#117C2314yes—
486C2×#117C2311yescharacteristic
487C2×#117C2311yescharacteristic
488C2×#117C2312yes—
489C22×C4⋊C4C2312yes—
490C22×C4⋊C4C2312yes—
491C22×C4⋊C4C2312yes—
492C22×C4⋊C4C2311yescharacteristic
493C22×C4⋊C4C2311yescharacteristic
494C22×C4⋊C4C2314yes—
495C22×C4⋊C4C2312yes—
496C22×C4⋊C4C2312yes—
497C22×C4⋊C4C2312yes—
498C22×C4⋊C4C2314yes—
499C22×C22⋊C4C2314yes—
500C22×C22⋊C4C2312yes—
501C22×C22⋊C4C2314yes—
502C22×C22⋊C4C2314yes—
503C22×C42C2312yes—
504C22×C42C2311yescharacteristic
505#400C2312yes—
506#400C2312yes—
507#400C2314yes—
508#400C2314yes—
509#400C2314yes—
510#399C2314yes—
511#399C2314yes—
512#399C2312yes—
513#399C2312yes—
514#399C2314yes—
515#399C2314yes—
516#399C2314yes—
517#398C2312yes—
518#398C2312yes—
519#398C2312yes—
520#398C2312yes—
521#398C2314yes—
522#398C2314yes—
523#398C2314yes—
524#398C2314yes—
525#398C2314yes—
526#398C2312yes—
527#398C2312yes—
528#398C2314yes—
529#398C2314yes—
530#398C2314yes—
531#398C2314yes—
532#398C2314yes—
533#398C2314yes—
534#397C2314yes—
535#397C2314yes—
536#397C2312yes—
537#397C2312yes—
538#397C2314yes—
539#397C2314yes—
540#397C2314yes—
541#396C2312yes—
542#396C2312yes—
543#396C2314yes—
544#396C2314yes—
545#396C2312yes—
546#396C2312yes—
547#396C2312yes—
548#396C2312yes—
549#396C2314yes—
550#396C2314yes—
551#396C2314yes—
552#396C2314yes—
553#396C2314yes—
554#396C2314yes—
555#396C2314yes—
556#396C2314yes—
557#396C2314yes—
558#396C2314yes—
559#396C2314yes—
560#396C2314yes—
561#396C2314yes—
562#396C2314yes—
563#396C2312yes—
564#396C2314yes—
565#396C2314yes—
566#396C2314yes—
567#396C2314yes—
568#396C2314yes—
569#396C2314yes—
570#396C2314yes—
571#396C2314yes—
572#396C2312yes—
573#395C2314yes—
574#395C2314yes—
575#395C2312yes—
576#395C2312yes—
577#395C2314yes—
578#395C2314yes—
579#395C2314yes—
580#394C2314yes—
581#394C2314yes—
582#394C2312yes—
583#394C2314yes—
584#394C2314yes—
585#394C2314yes—
586#394C2314yes—
587#394C2314yes—
588#394C2312yes—
589#394C2312yes—
590#394C2312yes—
591#394C2312yes—
592#394C2312yes—
593#394C2314yes—
594#394C2314yes—
595#394C2314yes—
596#394C2314yes—
597#394C2314yes—
598#394C2314yes—
599#393C2312yes—
600#393C2312yes—
601#393C2314yes—
602#393C2314yes—
603#393C2314yes—
604#392C2312yes—
605#392C2312yes—
606#392C2314yes—
607#392C2314yes—
608#392C2314yes—
609#391C2311yescharacteristic
610#391C2311yescharacteristic
611#391C2311yescharacteristic
612#391C2312yes—
613#391C2312yes—
614#391C2312yes—
615#391C2312yes—
616#391C2311yescharacteristic
617#391C2311yescharacteristic
618#391C2311yescharacteristic
619#391C2312yes—
620#391C2312yes—
621#391C2314yes—
622#391C2314yes—
623#391C2311yescharacteristic
624#391C2311yescharacteristic
625#390C2311yescharacteristic
626#390C2311yescharacteristic
627#390C2312yes—
628#390C2312yes—
629#390C2312yes—
630#390C2312yes—
631#390C2311yescharacteristic
632#390C2311yescharacteristic
633#390C2311yescharacteristic
634#390C2311yescharacteristic
635#390C2314yes—
636#390C2314yes—
637#390C2312yes—
638#390C2312yes—
639#390C2314yes—
640#390C2314yes—
641#390C2311yescharacteristic
642#390C2314yes—
643#390C2312yes—
644#390C2314yes—
645#390C2314yes—
646#390C2314yes—
647#390C2314yes—
648#390C2314yes—
649#390C2312yes—
650#390C2311yescharacteristic
651#390C2314yes—
652#390C2312yes—
653#390C2312yes—
654#390C2314yes—
655#389C2312yes—
656#389C2312yes—
657#389C2312yes—
658#389C2312yes—
659#389C2312yes—
660#389C2312yes—
661#389C2312yes—
662#389C2312yes—
663#389C2312yes—
664#389C2312yes—
665#389C2312yes—
666#389C2312yes—
667#389C2312yes—
668#389C2312yes—
669#389C2314yes—
670#389C2314yes—
671#389C2314yes—
672#389C2314yes—
673#389C2314yes—
674#389C2314yes—
675#389C2312yes—
676#389C2314yes—
677#389C2312yes—
678#389C2314yes—
679#389C2312yes—
680#389C2314yes—
681#389C2314yes—
682#389C2314yes—
683#389C2312yes—
684#389C2314yes—
685#389C2314yes—
686#389C2312yes—
687#389C2312yes—
688#389C2314yes—
689#388C2314yes—
690#388C2314yes—
691#388C2314yes—
692#388C2314yes—
693#388C2314yes—
694#388C2314yes—
695#388C2314yes—
696#388C2314yes—
697#388C2314yes—
698#388C2312yes—
699#388C2312yes—
700#388C2312yes—
701#388C2312yes—
702#388C2312yes—
703#388C2312yes—
704#388C2312yes—
705#388C2312yes—
706#388C2312yes—
707#388C2312yes—
708#388C2312yes—
709#388C2312yes—
710#388C2314yes—
711#388C2314yes—
712#388C2314yes—
713#388C2314yes—
714#388C2314yes—
715#388C2314yes—
716#388C2314yes—
717#388C2314yes—
718#388C2314yes—
719#387C2312yes—
720#387C2312yes—
721#387C2312yes—
722#387C2312yes—
723#387C2314yes—
724#387C2314yes—
725#387C2314yes—
726#387C2314yes—
727#387C2314yes—
728#387C2314yes—
729#387C2314yes—
730#387C2314yes—
731#387C2314yes—
732#387C2314yes—
733#386C2314yes—
734#386C2314yes—
735#386C2312yes—
736#386C2312yes—
737#386C2312yes—
738#386C2312yes—
739#386C2314yes—
740#386C2314yes—
741#386C2314yes—
742#386C2314yes—
743#386C2312yes—
744#386C2312yes—
745#386C2314yes—
746#386C2314yes—
747#386C2312yes—
748#386C2312yes—
749#385C2312yes—
750#385C2312yes—
751#385C2312yes—
752#385C2312yes—
753#385C2314yes—
754#385C2314yes—
755#385C2314yes—
756#385C2314yes—
757#385C2314yes—
758#385C2314yes—
759#385C2314yes—
760#385C2314yes—
761#385C2314yes—
762#385C2314yes—
763#385C2312yes—
764#385C2312yes—
765#385C2314yes—
766#385C2314yes—
767#385C2312yes—
768#385C2312yes—
769#384C2311yescharacteristic
770#384C2311yescharacteristic
771#384C2311yescharacteristic
772#384C2311yescharacteristic
773#384C2311yescharacteristic
774#384C2311yescharacteristic
775#384C2314yes—
776#384C2312yes—
777#384C2314yes—
778#384C2312yes—
779#384C2312yes—
780#382C2314yes—
781#382C2311yescharacteristic
782#382C2311yescharacteristic
783#382C2311yescharacteristic
784#382C2311yescharacteristic
785#382C2314yes—
786#381C2312yes—
787#381C2312yes—
788#380C2312yes—
789#380C2314yes—
790#380C2314yes—
791#380C2312yes—
792#380C2312yes—
793#380C2314yes—
794#380C2312yes—
795#380C2314yes—
796#380C2314yes—
797#380C2312yes—
798#380C2312yes—
799#380C2312yes—
800#380C2312yes—
801#380C2314yes—
802#380C2314yes—
803#379C2312yes—
804#379C2312yes—
805C4×C4⋊C4C2312yes—
806C4×C4⋊C4C2312yes—
807C4×C4⋊C4C2312yes—
808C4×C4⋊C4C2312yes—
809C4×C4⋊C4C2312yes—
810C4×C4⋊C4C2312yes—
811C4×C4⋊C4C2312yes—
812C4×C4⋊C4C2312yes—
813C4×C4⋊C4C2312yes—
814C4×C4⋊C4C2312yes—
815C4×C4⋊C4C2312yes—
816C4×C4⋊C4C2312yes—
817C4×C4⋊C4C2311yescharacteristic
818C4×C4⋊C4C2311yescharacteristic
819C4×C4⋊C4C2311yescharacteristic
820C4×C4⋊C4C2311yescharacteristic
821C4×C4⋊C4C2314yes—
822C4×C4⋊C4C2314yes—
823C4×C4⋊C4C2314yes—
824C4×C4⋊C4C2314yes—
825C4×C22⋊C4C2314yes—
826C4×C22⋊C4C2312yes—
827C4×C22⋊C4C2314yes—
828C4×C22⋊C4C2314yes—
829C4×C22⋊C4C2312yes—
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2314yes—
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2314yes—
834C4×C22⋊C4C2314yes—
835C4×C22⋊C4C2311yescharacteristic
836C4×C22⋊C4C2311yescharacteristic
837C4×C22⋊C4C2311yescharacteristic
838C4×C22⋊C4C2311yescharacteristic
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2312yes—
842C4×C22⋊C4C2312yes—
843#376C2311yescharacteristic
844#376C2311yescharacteristic
845C2×#95C2314yes—
846C43C2311yescharacteristic
847C43C2311yescharacteristic
848C25C2412yes—
849C2×#41—28no—
850C2×#41—28no—
851C2×#41—28no—
852C2×#41—44no—
853C2×#41—44no—
854C2×#41—44no—
855C22×Q8—28no—
856C22×Q8—24no—
857C22×Q8—28no—
858C22×Q8—28no—
859C22×Q8—24no—
860C22×Q8—42no—
861C22×Q8—44no—
862C22×Q8—44no—
863C22×Q8—44no—
864C22×Q8C2411yescharacteristic
865C22×Q8C2411yescharacteristic
866C22×Q8C2411yescharacteristic
867C22×Q8C2412yes—
868C22×Q8C2414yes—
869C22×Q8C2412yes—
870C22×Q8C2412yes—
871C22×Q8C2411yescharacteristic
872C22×Q8C2414yes—
873C22×D4—24no—
874C22×D4—24no—
875C22×D4—42no—
876C22×D4C2412yes—
877C22×D4C2412yes—
878C22×D4C2411yescharacteristic
879C22×D4C2411yescharacteristic
880C22×D4C2411yescharacteristic
881C22×D4C2412yes—
882C22×D4C2414yes—
883C22×D4C2412yes—
884C22×D4C2411yescharacteristic
885C22×D4C2412yes—
886C22×D4C2412yes—
887C22×D4C2414yes—
888C22×D4C2412yes—
889C22×D4C2414yes—
890C23×C4—28no—
891C23×C4—44no—
892C23×C4—44no—
893C23×C4C2412yes—
894C23×C4C2412yes—
895C23×C4C2412yes—
896C23×C4C2412yes—
897C23×C4C2412yes—
898C23×C4C2412yes—
899C23×C4C2414yes—
900C23×C4C2414yes—
901C23×C4C2411yescharacteristic
902C23×C4C2411yescharacteristic
903C23×C4C2411yescharacteristic
904C23×C4C2414yes—
905C23×C4C2412yes—
906C23×C4C2414yes—
907C23×C4C2412yes—
908C23×C4C2414yes—
909C23×C4C2412yes—
910C4⋊Q8—28no—
911C4⋊Q8—28no—
912C4⋊Q8—24no—
913C4⋊Q8—28no—
914C4⋊Q8—216no—
915C4⋊Q8—28no—
916C4⋊Q8—42no—
917C4⋊Q8—48no—
918C4⋊Q8C2×D418yes—
919C4⋊Q8C2×D418yes—
920#127—24no—
921#127—42no—
922#126—216no—
923#126—216no—
924#126—216no—
925#126—216no—
926#126—28no—
927#126—28no—
928#126—216no—
929#126—216no—
930#125—28no—
931#125—216no—
932#125—216no—
933#125—216no—
934#125—216no—
935#125—216no—
936#125—28no—
937#125—24no—
938#125—24no—
939#125—216no—
940#125C2×D4116yes—
941#124—28no—
942#124—28no—
943#124—24no—
944#124—24no—
945#124—24no—
946#124—24no—
947#124—216no—
948#124—42no—
949#124—42no—
950#124—48no—
951#123—28no—
952#123—28no—
953#123—216no—
954#123—216no—
955#123—216no—
956#123—216no—
957#123—216no—
958#123—28no—
959#123—44no—
960C22⋊Q8—28no—
961C22⋊Q8—28no—
962C22⋊Q8—28no—
963C22⋊Q8—28no—
964C22⋊Q8—28no—
965C22⋊Q8—28no—
966C22⋊Q8—24no—
967C22⋊Q8—24no—
968C22⋊Q8—216no—
969C22⋊Q8—28no—
970C22⋊Q8—216no—
971C22⋊Q8—216no—
972C22⋊Q8—216no—
973C22⋊Q8—216no—
974C22⋊Q8—28no—
975C22⋊Q8—216no—
976C22⋊Q8—216no—
977C22⋊Q8—48no—
978C22⋊Q8—48no—
979C22⋊Q8—48no—
980C22⋊Q8—48no—
981C22⋊Q8—48no—
982C22⋊Q8—44no—
983C22⋊Q8—44no—
984C22⋊Q8—44no—
985C22⋊Q8—44no—
986C22⋊Q8C2×D4116yes—
987C22⋊Q8C2×D4116yes—
988#121—24no—
989#121—24no—
990#121—28no—
991#121—216no—
992#121—28no—
993#121—48no—
994#121—44no—
995#121—44no—
996#121—48no—
997#120—216no—
998#120—28no—
999#120—44no—
1000C4×Q8—28no—
1001C4×Q8—28no—
1002C4×Q8—28no—
1003C4×Q8—28no—
1004C4×Q8—216no—
1005C4×Q8—28no—
1006C4×Q8—28no—
1007C4×Q8—24no—
1008C4×Q8—28no—
1009C4×Q8—24no—
1010C4×Q8—24no—
1011C4×Q8—28no—
1012C4×Q8—24no—
1013C4×Q8—216no—
1014C4×Q8—24no—
1015C4×Q8—24no—
1016C4×Q8—44no—
1017C4×Q8—44no—
1018C4×Q8—44no—
1019C4×Q8—44no—
1020C4×Q8C2×D4116yes—
1021C4×Q8C2×D4116yes—
1022C4×D4—28no—
1023C4×D4—28no—
1024C4×D4—216no—
1025C4×D4—28no—
1026C4×D4—28no—
1027C4×D4—216no—
1028C4×D4—216no—
1029C4×D4—24no—
1030C4×D4—28no—
1031C4×D4—24no—
1032C4×D4—24no—
1033C4×D4—24no—
1034C4×D4—28no—
1035C4×D4—216no—
1036C4×D4—24no—
1037C4×D4—24no—
1038C4×D4—44no—
1039C4×D4—44no—
1040C4×D4—44no—
1041C4×D4—44no—
1042C4×D4—48no—
1043C4×D4—48no—
1044#117—216no—
1045#117—28no—
1046#117—28no—
1047#117—216no—
1048#117—24no—
1049#117—28no—
1050#117—216no—
1051#117—28no—
1052#117—216no—
1053#117—42no—
1054#117C2×D4116yes—
1055C2×C4⋊C4—24no—
1056C2×C4⋊C4—24no—
1057C2×C4⋊C4—28no—
1058C2×C4⋊C4—216no—
1059C2×C4⋊C4—28no—
1060C2×C4⋊C4—28no—
1061C2×C4⋊C4—44no—
1062C2×C4⋊C4—48no—
1063C2×C4⋊C4—44no—
1064C2×C4⋊C4—44no—
1065C2×C4⋊C4C2411yescharacteristic
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2414yes—
1068C2×C4⋊C4C2411yescharacteristic
1069C2×C4⋊C4C2411yescharacteristic
1070C2×C4⋊C4C2412yes—
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2411yescharacteristic
1073C2×C4⋊C4C2414yes—
1074C2×C4⋊C4C2414yes—
1075C2×C4⋊C4C2411yescharacteristic
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2414yes—
1085C2×C4⋊C4C2414yes—
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2411yescharacteristic
1088C2×C4⋊C4C2414yes—
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2414yes—
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2414yes—
1093C2×C4⋊C4C2414yes—
1094C2×C4⋊C4C2411yescharacteristic
1095C2×C4⋊C4C2411yescharacteristic
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2411yescharacteristic
1098C2×C4⋊C4C2414yes—
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2414yes—
1102C2×C4⋊C4C2411yescharacteristic
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2414yes—
1105C2×C4⋊C4C2414yes—
1106C2×C4⋊C4C2414yes—
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2414yes—
1112C2×C4⋊C4C2414yes—
1113C2×C4⋊C4C2414yes—
1114C2×C4⋊C4C2414yes—
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2414yes—
1118C2×C4⋊C4C2411yescharacteristic
1119C2×C4⋊C4C2411yescharacteristic
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2414yes—
1125C2×C4⋊C4C2414yes—
1126C2×C4⋊C4C2414yes—
1127C2×C4⋊C4C2414yes—
1128C2×C4⋊C4C2414yes—
1129C2×C4⋊C4C2414yes—
1130C2×C4⋊C4C2414yes—
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2412yes—
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2414yes—
1138C2×C4⋊C4C2414yes—
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2412yes—
1141C2×C22⋊C4—28no—
1142C2×C22⋊C4—216no—
1143C2×C22⋊C4—48no—
1144C2×C22⋊C4—48no—
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2414yes—
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2414yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2411yescharacteristic
1162C2×C22⋊C4C2414yes—
1163C2×C22⋊C4C2411yescharacteristic
1164C2×C22⋊C4C2411yescharacteristic
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2414yes—
1168C2×C22⋊C4C2414yes—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2414yes—
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⋊C4C2414yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2414yes—
1183C2×C22⋊C4C2414yes—
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2414yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2414yes—
1200C2×C22⋊C4C2414yes—
1201C2×C22⋊C4C2414yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2412yes—
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2414yes—
1209C2×C22⋊C4C2411yescharacteristic
1210C2×C42—28no—
1211C2×C42C2×D418yes—
1212C2×C42C2414yes—
1213C2×C42C2412yes—
1214C2×C42C2414yes—
1215C2×C42C2414yes—
1216C2×C42C2412yes—
1217C2×C42C2412yes—
1218C2×C42C2414yes—
1219C2×C42C2411yescharacteristic
1220C2×C42C2411yescharacteristic
1221C2×C42C2411yescharacteristic
1222C2×C42C2411yescharacteristic
1223C2×C42C2411yescharacteristic
1224C2×C42C2411yescharacteristic
1225C2×C42C2412yes—
1226C2×C42C2412yes—
1227C2×C42C2411yescharacteristic
1228C2×C42C2412yes—
1229C2×C42C2411yescharacteristic
1230C2×C42C2411yescharacteristic
1231C2×C42C2411yescharacteristic
1232C2×C42C2411yescharacteristic
1233C2×C42C2411yescharacteristic
1234C2×C42C2414yes—
1235C2×C42C2414yes—
1236C2×C42C2414yes—
1237C2×C42C2414yes—
1238C2×C42C2414yes—
1239C2×C42C2411yescharacteristic
1240C2×C42C2411yescharacteristic
1241C2×C42C2411yescharacteristic
1242C2×C42C2411yescharacteristic
1243#95C2414yes—
1244#95C2414yes—
1245#95C2414yes—
1246#95C2414yes—
1247#95C2411yescharacteristic
1248#95C2411yescharacteristic
1249#95C2411yescharacteristic
1250#95C2411yescharacteristic
1251#95C2411yescharacteristic
1252#95C2411yescharacteristic
1253#95C2411yescharacteristic
1254#95C2411yescharacteristic
1255#95C2412yes—
1256#95C2412yes—
1257#95C2412yes—
1258#95C2412yes—
1259#95C2412yes—
1260#95C2414yes—
1261#95C2414yes—
1262#95C2414yes—
1263#95C2414yes—
1264#95C2414yes—
1265#95C2412yes—
1266#95C2412yes—
1267#95C2412yes—
1268#95C2414yes—
1269#95C2414yes—
1270#95C2412yes—
1271#95C2412yes—
1272#95C2412yes—
1273#95C2412yes—
1274#95C2412yes—
1275#95C2412yes—
1276#95C2412yes—
1277#95C2412yes—
1278#95C2412yes—
1279#95C2412yes—
1280#95C2412yes—
1281#95C2414yes—
1282#95C2412yes—
1283#95C2412yes—
1284#95C2414yes—
1285#95C2414yes—
1286#95C2414yes—
1287#95C2414yes—
1288#95C2412yes—
1289#95C2412yes—
1290#95C2412yes—
1291#95C2414yes—
1292#95C2414yes—
1293C24—24no—
1294C24—24no—
1295C24—24no—
1296C24—24no—
1297C24—42no—
1298C24—42no—
1299C24—42no—
1300C24C2512yes—
1301C24C2512yes—
1302C24C2512yes—
1303C24C2512yes—
1304C24C2511yescharacteristic
1305#41—432no—
1306#41—816no—
1307C2×Q8—22no—
1308C2×Q8—22no—
1309C2×Q8—28no—
1310C2×Q8—24no—
1311C2×Q8—22no—
1312C2×Q8—22no—
1313C2×Q8—28no—
1314C2×Q8—24no—
1315C2×Q8—24no—
1316C2×Q8—22no—
1317C2×Q8—28no—
1318C2×Q8—22no—
1319C2×Q8—24no—
1320C2×Q8—22no—
1321C2×Q8—24no—
1322C2×Q8—22no—
1323C2×Q8—24no—
1324C2×Q8—22no—
1325C2×Q8—22no—
1326C2×Q8—22no—
1327C2×Q8—42no—
1328C2×Q8—44no—
1329C2×Q8—44no—
1330C2×Q8—44no—
1331C2×Q8—416no—
1332C2×Q8—432no—
1333C2×Q8—816no—
1334C2×Q8C22×D418yes—
1335C2×Q8C22×D418yes—
1336C2×Q8H(5,𝔽2)14yes—
1337C2×D4—24no—
1338C2×D4—24no—
1339C2×D4—24no—
1340C2×D4—24no—
1341C2×D4—24no—
1342C2×D4—24no—
1343C2×D4—28no—
1344C2×D4—24no—
1345C2×D4—24no—
1346C2×D4—24no—
1347C2×D4—22no—
1348C2×D4—22no—
1349C2×D4—28no—
1350C2×D4—24no—
1351C2×D4—22no—
1352C2×D4—22no—
1353C2×D4—28no—
1354C2×D4—22no—
1355C2×D4—24no—
1356C2×D4—22no—
1357C2×D4—22no—
1358C2×D4—24no—
1359C2×D4—22no—
1360C2×D4—22no—
1361C2×D4—22no—
1362C2×D4—22no—
1363C2×D4—416no—
1364C2×D4—42no—
1365C2×D4—42no—
1366C2×D4—44no—
1367C2×D4—42no—
1368C2×D4—44no—
1369C2×D4—42no—
1370C2×D4—42no—
1371C2×D4—42no—
1372C2×D4—42no—
1373C2×D4—44no—
1374C2×D4—44no—
1375C2×D4—44no—
1376C2×D4—42no—
1377C2×D4—42no—
1378C2×D4—44no—
1379C2×D42−1+414yes—
1380C22×C4—22no—
1381C22×C4—22no—
1382C22×C4—22no—
1383C22×C4—22no—
1384C22×C4—22no—
1385C22×C4—22no—
1386C22×C4—24no—
1387C22×C4—24no—
1388C22×C4—24no—
1389C22×C4—28no—
1390C22×C4—24no—
1391C22×C4—24no—
1392C22×C4—28no—
1393C22×C4—28no—
1394C22×C4—24no—
1395C22×C4—24no—
1396C22×C4—28no—
1397C22×C4—24no—
1398C22×C4—24no—
1399C22×C4—24no—
1400C22×C4—28no—
1401C22×C4—24no—
1402C22×C4—24no—
1403C22×C4—24no—
1404C22×C4—24no—
1405C22×C4—24no—
1406C22×C4—24no—
1407C22×C4—24no—
1408C22×C4—24no—
1409C22×C4—28no—
1410C22×C4—24no—
1411C22×C4—28no—
1412C22×C4—24no—
1413C22×C4—44no—
1414C22×C4—42no—
1415C22×C4—44no—
1416C22×C4—44no—
1417C22×C4—42no—
1418C22×C4—44no—
1419C22×C4—44no—
1420C22×C4—44no—
1421C22×C4—42no—
1422C22×C4—42no—
1423C22×C4—42no—
1424C22×C4—42no—
1425C22×C4—42no—
1426C22×C4—44no—
1427C22×C4—44no—
1428C22×C4—816no—
1429C22×C4C22×D414yes—
1430C22×C4C22×D414yes—
1431C22×C4C22×D414yes—
1432C22×C4C2511yescharacteristic
1433C22×C4C2511yescharacteristic
1434C22×C4C2511yescharacteristic
1435C22×C4C2511yescharacteristic
1436C22×C4C2512yes—
1437C22×C4C2511yescharacteristic
1438C22×C4C2514yes—
1439C22×C4C2512yes—
1440C22×C4C2512yes—
1441C22×C4C2512yes—
1442C22×C4C2512yes—
1443C22×C4C2512yes—
1444C22×C4C2514yes—
1445C22×C4C2512yes—
1446C22×C4C2512yes—
1447C22×C4C2512yes—
1448C22×C4C2511yescharacteristic
1449C22×C4C2512yes—
1450C22×C4C2512yes—
1451C22×C4C2514yes—
1452C22×C4C2511yescharacteristic
1453C22×C4C2514yes—
1454C22×C4C2511yescharacteristic
1455C22×C4C2511yescharacteristic
1456C22×C4C2511yescharacteristic
1457C22×C4C2512yes—
1458C22×C4C2511yescharacteristic
1459C22×C4C2511yescharacteristic
1460C22×C4C2511yescharacteristic
1461C22×C4C2511yescharacteristic
1462C4⋊C4—22no—
1463C4⋊C4—24no—
1464C4⋊C4—28no—
1465C4⋊C4—22no—
1466C4⋊C4—24no—
1467C4⋊C4—22no—
1468C4⋊C4—24no—
1469C4⋊C4—22no—
1470C4⋊C4—28no—
1471C4⋊C4—24no—
1472C4⋊C4—22no—
1473C4⋊C4—24no—
1474C4⋊C4—24no—
1475C4⋊C4—24no—
1476C4⋊C4—28no—
1477C4⋊C4—24no—
1478C4⋊C4—22no—
1479C4⋊C4—28no—
1480C4⋊C4—24no—
1481C4⋊C4—28no—
1482C4⋊C4—24no—
1483C4⋊C4—28no—
1484C4⋊C4—28no—
1485C4⋊C4—22no—
1486C4⋊C4—28no—
1487C4⋊C4—24no—
1488C4⋊C4—28no—
1489C4⋊C4—24no—
1490C4⋊C4—22no—
1491C4⋊C4—24no—
1492C4⋊C4—28no—
1493C4⋊C4—28no—
1494C4⋊C4—24no—
1495C4⋊C4—28no—
1496C4⋊C4—28no—
1497C4⋊C4—24no—
1498C4⋊C4—24no—
1499C4⋊C4—28no—
1500C4⋊C4—24no—
1501C4⋊C4—24no—
1502C4⋊C4—22no—
1503C4⋊C4—22no—
1504C4⋊C4—24no—
1505C4⋊C4—24no—
1506C4⋊C4—24no—
1507C4⋊C4—24no—
1508C4⋊C4—42no—
1509C4⋊C4—42no—
1510C4⋊C4—44no—
1511C4⋊C4—44no—
1512C4⋊C4—44no—
1513C4⋊C4—44no—
1514C4⋊C4—44no—
1515C4⋊C4—41no—
1516C4⋊C4—41no—
1517C4⋊C4—42no—
1518C4⋊C4—42no—
1519C4⋊C4—42no—
1520C4⋊C4—42no—
1521C4⋊C4—44no—
1522C4⋊C4—44no—
1523C4⋊C4—44no—
1524C4⋊C4—44no—
1525C4⋊C4—44no—
1526C4⋊C4—44no—
1527C4⋊C4—44no—
1528C4⋊C4—42no—
1529C4⋊C4—42no—
1530C4⋊C4—42no—
1531C4⋊C4—42no—
1532C4⋊C4C22×D418yes—
1533C4⋊C4C22×D418yes—
1534C4⋊C4C22×D4116yes—
1535C4⋊C4C22×D4116yes—
1536C4⋊C4C22×D418yes—
1537C4⋊C4C22×D418yes—
1538C22⋊C4—24no—
1539C22⋊C4—24no—
1540C22⋊C4—22no—
1541C22⋊C4—24no—
1542C22⋊C4—24no—
1543C22⋊C4—22no—
1544C22⋊C4—22no—
1545C22⋊C4—24no—
1546C22⋊C4—24no—
1547C22⋊C4—24no—
1548C22⋊C4—24no—
1549C22⋊C4—28no—
1550C22⋊C4—28no—
1551C22⋊C4—24no—
1552C22⋊C4—28no—
1553C22⋊C4—24no—
1554C22⋊C4—28no—
1555C22⋊C4—24no—
1556C22⋊C4—24no—
1557C22⋊C4—28no—
1558C22⋊C4—24no—
1559C22⋊C4—28no—
1560C22⋊C4—28no—
1561C22⋊C4—24no—
1562C22⋊C4—24no—
1563C22⋊C4—28no—
1564C22⋊C4—24no—
1565C22⋊C4—28no—
1566C22⋊C4—28no—
1567C22⋊C4—24no—
1568C22⋊C4—24no—
1569C22⋊C4—24no—
1570C22⋊C4—24no—
1571C22⋊C4—24no—
1572C22⋊C4—24no—
1573C22⋊C4—44no—
1574C22⋊C4—44no—
1575C22⋊C4—44no—
1576C22⋊C4—44no—
1577C22⋊C4—44no—
1578C22⋊C4—44no—
1579C22⋊C4—42no—
1580C22⋊C4—42no—
1581C22⋊C4—42no—
1582C22⋊C4—42no—
1583C22⋊C4—42no—
1584C22⋊C4—42no—
1585C22⋊C4—42no—
1586C22⋊C4—44no—
1587C22⋊C4—42no—
1588C22⋊C4—42no—
1589C22⋊C4—42no—
1590C22⋊C4—44no—
1591C22⋊C4—44no—
1592C22⋊C4—44no—
1593C22⋊C4—44no—
1594C22⋊C4—44no—
1595C22⋊C4—42no—
1596C22⋊C4—42no—
1597C22⋊C4—42no—
1598C22⋊C4—42no—
1599C22⋊C4—42no—
1600C22⋊C4—42no—
1601C22⋊C4C22×D4116yes—
1602C22⋊C42−1+414yes—
1603C42—24no—
1604C42—24no—
1605C42—24no—
1606C42—24no—
1607C42—28no—
1608C42—28no—
1609C42—28no—
1610C42—24no—
1611C42—28no—
1612C42—24no—
1613C42—22no—
1614C42—22no—
1615C42—22no—
1616C42—22no—
1617C42—22no—
1618C42—22no—
1619C42—22no—
1620C42—22no—
1621C42—22no—
1622C42—22no—
1623C42—41no—
1624C42—41no—
1625C42—44no—
1626C42—44no—
1627C42—44no—
1628C42—44no—
1629C42C22×D414yes—
1630C42C22×D414yes—
1631C42C22×D414yes—
1632C42C22×D414yes—
1633C42C22×D4116yes—
1634C23—21no—
1635C23—21no—
1636C23—21no—
1637C23—21no—
1638C23—22no—
1639C23—22no—
1640C23—22no—
1641C23—22no—
1642C23—22no—
1643C23—22no—
1644C23—22no—
1645C23—22no—
1646C23—22no—
1647C23—22no—
1648C23—22no—
1649C23—22no—
1650C23—22no—
1651C23—22no—
1652C23—22no—
1653C23—22no—
1654C23—22no—
1655C23—22no—
1656C23—22no—
1657C23—22no—
1658C23—22no—
1659C23—22no—
1660C23—22no—
1661C23—22no—
1662C23—22no—
1663C23—22no—
1664C23—22no—
1665C23—48no—
1666C23—48no—
1667C23—48no—
1668C23—48no—
1669C23—84no—
1670C23—84no—
1671C23—84no—
1672C23C23×D412yes—
1673C23C2×2−1+414yes—
1674C23C2×2−1+412yes—
1675C23#58512yes—
1676C23C2611yescharacteristic
1677Q8—28no—
1678Q8—216no—
1679Q8—216no—
1680Q8—48no—
1681Q8—416no—
1682Q8—44no—
1683Q8—44no—
1684Q8—44no—
1685Q8—88no—
1686D4—28no—
1687D4—48no—
1688D4—48no—
1689D4—416no—
1690D4—48no—
1691D4—48no—
1692D4—44no—
1693D4—44no—
1694D4—44no—
1695D4—84no—
1696D4—88no—
1697D4—84no—
1698D4—88no—
1699D4—84no—
1700C2×C4—22no—
1701C2×C4—21no—
1702C2×C4—24no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—24no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—24no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—24no—
1717C2×C4—22no—
1718C2×C4—28no—
1719C2×C4—28no—
1720C2×C4—28no—
1721C2×C4—22no—
1722C2×C4—22no—
1723C2×C4—22no—
1724C2×C4—22no—
1725C2×C4—22no—
1726C2×C4—22no—
1727C2×C4—22no—
1728C2×C4—22no—
1729C2×C4—22no—
1730C2×C4—22no—
1731C2×C4—22no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—24no—
1736C2×C4—24no—
1737C2×C4—22no—
1738C2×C4—22no—
1739C2×C4—22no—
1740C2×C4—22no—
1741C2×C4—22no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—22no—
1748C2×C4—22no—
1749C2×C4—22no—
1750C2×C4—22no—
1751C2×C4—22no—
1752C2×C4—22no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—24no—
1764C2×C4—24no—
1765C2×C4—22no—
1766C2×C4—22no—
1767C2×C4—24no—
1768C2×C4—22no—
1769C2×C4—22no—
1770C2×C4—22no—
1771C2×C4—24no—
1772C2×C4—22no—
1773C2×C4—22no—
1774C2×C4—22no—
1775C2×C4—22no—
1776C2×C4—22no—
1777C2×C4—22no—
1778C2×C4—416no—
1779C2×C4—48no—
1780C2×C4—416no—
1781C2×C4—48no—
1782C2×C4—48no—
1783C2×C4—48no—
1784C2×C4—48no—
1785C2×C4—48no—
1786C2×C4—84no—
1787C2×C4—84no—
1788C2×C4—88no—
1789C2×C4—88no—
1790C2×C4—88no—
1791C2×C4—84no—
1792C2×C4C23×D412yes—
1793C2×C4C23×D418yes—
1794C2×C4C23×D418yes—
1795C2×C4C23×D412yes—
1796C2×C4C23×D412yes—
1797C2×C4C23×D412yes—
1798C2×C4C23×D412yes—
1799C2×C4C23×D412yes—
1800C2×C4C2×H(5,𝔽2)14yes—
1801C2×C4C2×H(5,𝔽2)12yes—
1802C2×C4C2×2−1+412yes—
1803C2×C4C2×2−1+412yes—
1804C2×C4C2×2−1+412yes—
1805C2×C4#58512yes—
1806C2×C4#58512yes—
1807C22—22no—
1808C22—22no—
1809C22—22no—
1810C22—22no—
1811C22—22no—
1812C22—22no—
1813C22—24no—
1814C22—24no—
1815C22—24no—
1816C22—42no—
1817C22—42no—
1818C22—42no—
1819C22—42no—
1820C22—42no—
1821C22—42no—
1822C22—42no—
1823C22—42no—
1824C22—42no—
1825C22—42no—
1826C22—42no—
1827C22—42no—
1828C22—42no—
1829C22—42no—
1830C22—42no—
1831C22—42no—
1832C22—42no—
1833C22—42no—
1834C22—42no—
1835C22—42no—
1836C22—42no—
1837C22—42no—
1838C22—42no—
1839C22—42no—
1840C22—42no—
1841C22—816no—
1842C22#349714yes—
1843C22C24×D411yescharacteristic
1844C22C22×H(5,𝔽2)11yescharacteristic
1845C22C22×2−1+411yescharacteristic
1846C22C22×2−1+411yescharacteristic
1847C22C2×#58511yescharacteristic
1848C22C2×#58511yescharacteristic
1849C22C2×#58511yescharacteristic
1850C4—22no—
1851C4—22no—
1852C4—22no—
1853C4—22no—
1854C4—22no—
1855C4—24no—
1856C4—28no—
1857C4—22no—
1858C4—28no—
1859C4—41no—
1860C4—41no—
1861C4—44no—
1862C4—44no—
1863C4—41no—
1864C4—41no—
1865C4—41no—
1866C4—41no—
1867C4—42no—
1868C4—42no—
1869C4—42no—
1870C4—42no—
1871C4—42no—
1872C4—42no—
1873C4—42no—
1874C4—42no—
1875C4—42no—
1876C4—42no—
1877C4—42no—
1878C4#348814yes—
1879C4#348914yes—
1880C2—24no—
1881C2—44no—
1882C2—82no—
1883C2—82no—
1884C2—82no—
1885C2C2×#349711yescharacteristic
1886C2C2×#348811yescharacteristic
1887C2C2×#348911yescharacteristic
1888C2#6301611yescharacteristic
1889C2#6301911yescharacteristic
1890C2#6302311yescharacteristic
1891C2#6302511yescharacteristic
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×#3523C2semidirect
2. C2×#3520C2semidirect
3. #59821C2semidirect
4. #59817C2semidirect
5. #59654C2semidirect
6. #59653C2semidirect
7. #59418C2semidirect
8. #59418C2semidirect
9. #59413C2semidirect
10. #59410C2semidirect
11. #59113C2semidirect
12. #59094C2semidirect
13. #59076C2semidirect
14. #59046C2semidirect
15. #59022C2semidirect
16. #59014C2semidirect
17. #59005C2semidirect
18. #58998C2semidirect
19. #47680C2semidirect
20. #47677C2semidirect
21. #42804C2semidirect
22. #42803C2semidirect
23. #42800C2semidirect
24. #42799C2semidirect
25. #41984C2semidirect
26. #37620C2semidirect
27. #35832C2semidirect
28. #35825C2semidirect
29. #35816C2semidirect
30. #35787C2semidirect
31. #35771C2semidirect
32. #34972C2semidirect
33. #34965C2semidirect
34. C2×#2538C2semidirect
35. #34214C2semidirect
38. C2×#557C22semidirect
39. C2×#557C22semidirect
40. C2×#557C22semidirect
42. C2×#556C22semidirect
43. C2×#556C22semidirect
51. C2×D4×Q8C22semidirect
52. C2×D4×Q8C22semidirect
54. C2×#548C22semidirect
59. C2×#541C22semidirect
60. C2×#541C22semidirect
71. C2×#519C22semidirect
74. #2823C22semidirect
75. #2823C22semidirect
76. #2820C22semidirect
77. #2727C22semidirect
78. #2726C22semidirect
79. #2725C22semidirect
80. #2725C22semidirect
81. #2723C22semidirect
82. #2720C22semidirect
86. #2707C22semidirect
87. #2707C22semidirect
89. #2705C22semidirect
90. #2705C22semidirect
91. #2704C22semidirect
92. #2702C22semidirect
93. #2694C22semidirect
94. #2690C22semidirect
95. #2683C22semidirect
96. #2683C22semidirect
97. #2681C22semidirect
98. #2681C22semidirect
99. #2677C22semidirect
100. #2674C22semidirect
101. #2664C22semidirect
102. #2662C22semidirect
103. #2637C22semidirect
104. #2636C22semidirect
105. #2629C22semidirect
106. #2629C22semidirect
107. #2629C22semidirect
108. #2620C22semidirect
109. #2620C22semidirect
110. #2620C22semidirect
112. #2609C22semidirect
113. #2604C22semidirect
114. #2604C22semidirect
117. #2601C22semidirect
118. #2601C22semidirect
119. #2582C22semidirect
122. #2566C22semidirect
123. #2565C22semidirect
124. #2565C22semidirect
125. #2558C22semidirect
126. #2558C22semidirect
127. #2556C22semidirect
128. #2554C22semidirect
129. #2551C22semidirect
130. #2550C22semidirect
133. #2545C22semidirect
134. #2545C22semidirect
135. #2545C22semidirect
138. #2542C22semidirect
139. #2540C22semidirect
150. #2538C22semidirect
151. #2538C22semidirect
152. #2538C22semidirect
153. #2538C22semidirect
154. #2537C22semidirect
155. #2536C22semidirect
156. #2519C22semidirect
157. #2512C22semidirect
164. #2490C22semidirect
165. #2489C22semidirect
167. #2481C22semidirect
168. #2475C22semidirect
171. #2467C22semidirect
172. #2463C22semidirect
173. #2462C22semidirect
174. #2461C22semidirect
177. #2454C22semidirect
179. #2452C22semidirect
180. #2452C22semidirect
181. #2452C22semidirect
182. #2451C22semidirect
185. #2449C22semidirect
188. #2448C22semidirect
189. #2446C22semidirect
190. #2442C22semidirect
191. #2442C22semidirect
192. #2442C22semidirect
193. #2441C22semidirect
195. #2440C22semidirect
196. #2440C22semidirect
202. #2434C22semidirect
205. #2432C22semidirect
207. #2429C22semidirect
208. #2429C22semidirect
209. #2429C22semidirect
210. #2429C22semidirect
211. #2429C22semidirect
215. #2426C22semidirect
216. #2426C22semidirect
219. #2423C22semidirect
220. #2423C22semidirect
221. #2421C22semidirect
222. #2421C22semidirect
225. #2417C22semidirect
228. #2415C22semidirect
229. #2415C22semidirect
230. #2415C22semidirect
232. #2414C22semidirect
239. #2409C22semidirect
240. #2409C22semidirect
241. #2409C22semidirect
242. #2407C22semidirect
243. #2396C22semidirect
244. #2396C22semidirect
245. #2396C22semidirect
248. #2392C22semidirect
252. #2362C22semidirect
254. #2361C22semidirect
259. #2360C22semidirect
260. #2360C22semidirect
263. #2355C22semidirect
264. #2355C22semidirect
265. #2354C22semidirect
266. #2352C22semidirect
267. #2351C22semidirect
268. Q8×C4⋊C4C22semidirect
269. Q8×C4⋊C4C22semidirect
270. Q8×C4⋊C4C22semidirect
274. #2341C22semidirect
275. Q8×C22⋊C4C22semidirect
276. #2330C22semidirect
277. #2330C22semidirect
279. C4×C4⋊Q8C22semidirect
280. C4×C4⋊Q8C22semidirect
281. C4×C4⋊Q8C22semidirect
282. C4×C4⋊Q8C22semidirect
283. C4×C4⋊Q8C22semidirect
284. C4×C4⋊Q8C22semidirect
289. C4×#124C22semidirect
290. C4×#124C22semidirect
333. #533D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35232
C2×#35202
#598212
#598172
#596542
#596532
#594182
#594132
#594102
#591132
#590942
#590762
#590462
#590222
#590142
#590052
#589982
#476802
#476772
#428042
#428032
#428002
#427992
#419842
#376202
#358322
#358252
#358162
#357872
#357712
#349722
#349652
C2×#25382
#342142