Finite Group Databasebeta

← #7882838

Subgroups — #7882838

Order 512.

7209 conjugacy classes of subgroups.

The subgroup lattice has 1908 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3522C211yesmaximal, characteristic, complemented
2C2×#3501C211yesmaximal, characteristic, complemented
3#59655C211yesmaximal, characteristic, complemented
4#59083C212yesmaximal, complemented
5#59081C211yesmaximal, characteristic, complemented
6#59057C211yesmaximal, characteristic, complemented
7#59005C212yesmaximal, complemented
8#50176C214yesmaximal, complemented
9#47832C214yesmaximal, complemented
10#46373C214yesmaximal, complemented
11#45289C212yesmaximal, complemented
12#45248C212yesmaximal, complemented
13#44996C214yesmaximal, complemented
14#44948C212yesmaximal, complemented
15#44939C212yesmaximal, complemented
16#42678C212yesmaximal, complemented
17#42477C212yesmaximal, complemented
18#39726C211yesmaximal, characteristic, complemented
19#39470C212yesmaximal, complemented
20#39363C211yesmaximal, characteristic, complemented
21#39171C211yesmaximal, characteristic, complemented
22#38911C211yesmaximal, characteristic, complemented
23#38905C212yesmaximal, complemented
24#37759C212yesmaximal, complemented
25#37665C212yesmaximal, complemented
26Q8×#121C211yesmaximal, characteristic, complemented
27#36150C211yesmaximal, characteristic, complemented
28#36101C211yesmaximal, characteristic, complemented
29#35808C212yesmaximal, complemented
30#35724C212yesmaximal, complemented
31#35633C212yesmaximal, complemented
32#35524C212yesmaximal, complemented
33#34700C211yesmaximal, characteristic, complemented
34#34691C211yesmaximal, characteristic, complemented
35#34484C211yesmaximal, characteristic, complemented
36#3522—216no—
37#3501—216no—
38C2×#559C2212yes—
39C2×#559C2211yescharacteristic, complemented
40C2×Q82C2211yescharacteristic, complemented
41C2×#554C2214yes—
42C2×#554C2211yescharacteristic
43C2×#554C2212yes—
44C2×#554C2212yes—
45C2×#554C2212yes—
46C2×#554C2211yescharacteristic
47C2×#554C2212yescomplemented
48C2×#550C2211yescharacteristic
49C2×D4×Q8C2211yescharacteristic
50C2×D4×Q8C2212yes—
51C2×D4×Q8C2211yescharacteristic
52C2×D4×Q8C2212yescomplemented
53C2×#548C2212yescomplemented
54C2×#547C2214yescomplemented
55C2×#547C2212yescomplemented
56C2×#544C2212yes—
57C2×#543C2214yes—
58C2×#542C2214yescomplemented
59C2×#542C2212yescomplemented
60C2×#536C2212yescomplemented
61C2×#533C2211yescharacteristic
62C2×#533C2211yescharacteristic
63C2×#532C2212yes—
64C2×#532C2211yescharacteristic, complemented
65C2×#529C2211yescharacteristic
66C2×#529C2212yescomplemented
67C2×#525C2212yes—
68C22×C22⋊Q8C2212yes—
69C22×C22⋊Q8C2212yes—
70C2×#520C2212yescomplemented
71C2×#518C2212yes—
72C22×C4×Q8C2211yescharacteristic, complemented
73C22×C4×D4C2211yescharacteristic
74#2858C2211yescharacteristic, complemented
75#2857C2212yescomplemented
76#2857C2211yescharacteristic, complemented
77#2856C2211yescharacteristic
78#2847C2212yes—
79#2814C2214yescomplemented
80#2730C2214yescomplemented
81#2729C2214yes—
82#2729C2214yescomplemented
83#2716C2214yescomplemented
84#2707C2214yescomplemented
85#2707C2214yescomplemented
86#2704C2214yescomplemented
87#2702C2214yes—
88#2700C2214yescomplemented
89#2700C2214yescomplemented
90#2696C2214yes—
91#2696C2214yescomplemented
92#2696C2214yescomplemented
93#2696C2214yescomplemented
94#2692C2214yes—
95#2692C2214yes—
96#2692C2214yescomplemented
97#2692C2214yescomplemented
98#2689C2214yescomplemented
99#2687C2214yescomplemented
100#2687C2214yescomplemented
101#2687C2214yescomplemented
102#2683C2214yescomplemented
103#2683C2214yescomplemented
104#2681C2214yes—
105#2681C2214yescomplemented
106#2681C2214yescomplemented
107#2681C2214yescomplemented
108#2681C2214yescomplemented
109#2681C2214yescomplemented
110#2677C2214yescomplemented
111#2674C2214yescomplemented
112#2674C2214yescomplemented
113#2640C2212yescomplemented
114#2638C2214yescomplemented
115#2630C2214yes—
116#2625C2212yescomplemented
117#2623C2214yescomplemented
118#2620C2212yes—
119#2620C2212yescomplemented
120#2616C2214yescomplemented
121#2600C2214yes—
122#2592C2212yescomplemented
123#2582C2211yescharacteristic, complemented
124#2568C2211yescharacteristic, complemented
125#2563C2212yescomplemented
126#2560C2214yescomplemented
127#2550C2212yescomplemented
128#2550C2212yescomplemented
129#2550C2212yescomplemented
130#2548C2211yescharacteristic, complemented
131#2546C2212yescomplemented
132#2546C2211yescharacteristic, complemented
133#2545C2212yescomplemented
134#2544C2212yes—
135#2541C2211yescharacteristic
136#2540C2212yes—
137#2540C2212yescomplemented
138#2538C2211yescharacteristic
139#2538C2212yes—
140#2538C2212yescomplemented
141#2534C2214yes—
142#2534C2214yes—
143#2492C2212yes—
144#2492C2212yescomplemented
145#2492C2212yescomplemented
146#2492C2214yescomplemented
147#2490C2212yescomplemented
148#2490C2212yescomplemented
149#2486C2214yescomplemented
150#2486C2214yescomplemented
151#2481C2214yescomplemented
152#2480C2212yes—
153#2477C2214yescomplemented
154#2475C2214yescomplemented
155#2473C2212yescomplemented
156#2473C2214yescomplemented
157#2472C2214yes—
158#2472C2214yes—
159#2468C2212yes—
160#2465C2212yes—
161#2463C2214yes—
162#2463C2214yescomplemented
163#2462C2212yescomplemented
164#2461C2214yes—
165#2459C2214yes—
166#2457C2212yes—
167#2457C2214yes—
168#2456C2214yes—
169#2456C2214yes—
170#2454C2211yescharacteristic
171#2454C2212yescomplemented
172#2454C2212yescomplemented
173#2453C2212yescomplemented
174#2453C2212yescomplemented
175#2452C2212yes—
176#2452C2214yes—
177#2452C2212yescomplemented
178#2452C2212yescomplemented
179#2452C2214yescomplemented
180#2452C2212yescomplemented
181#2451C2211yescharacteristic, complemented
182#2451C2212yescomplemented
183#2449C2212yes—
184#2449C2214yescomplemented
185#2449C2214yescomplemented
186#2448C2212yescomplemented
187#2447C2211yescharacteristic
188#2447C2212yes—
189#2446C2214yescomplemented
190#2446C2211yescharacteristic, complemented
191#2445C2212yes—
192#2445C2212yes—
193#2445C2212yes—
194#2442C2211yescharacteristic
195#2440C2212yescomplemented
196#2440C2211yescharacteristic, complemented
197#2439C2212yes—
198#2436C2212yescomplemented
199#2436C2212yescomplemented
200#2436C2212yescomplemented
201#2435C2211yescharacteristic
202#2434C2211yescharacteristic, complemented
203#2433C2212yes—
204#2432C2212yescomplemented
205#2429C2211yescharacteristic
206#2429C2212yes—
207#2429C2214yescomplemented
208#2429C2214yescomplemented
209#2429C2212yescomplemented
210#2429C2212yescomplemented
211#2428C2212yes—
212#2427C2212yes—
213#2427C2212yes—
214#2427C2211yescharacteristic
215#2427C2212yescomplemented
216#2427C2212yescomplemented
217#2427C2212yescomplemented
218#2426C2212yes—
219#2426C2212yes—
220#2426C2212yescomplemented
221#2424C2214yes—
222#2424C2214yes—
223#2423C2211yescharacteristic
224#2420C2211yescharacteristic
225#2420C2212yes—
226#2418C2214yes—
227#2418C2212yes—
228#2417C2214yes—
229#2417C2211yescharacteristic
230#2417C2211yescharacteristic
231#2417C2214yescomplemented
232#2417C2214yescomplemented
233#2417C2214yescomplemented
234#2417C2212yescomplemented
235#2416C2212yescomplemented
236#2415C2214yes—
237#2415C2214yescomplemented
238#2415C2214yescomplemented
239#2415C2212yescomplemented
240#2414C2212yes—
241#2414C2212yes—
242#2411C2214yes—
243#2409C2211yescharacteristic
244#2409C2212yescomplemented
245#2408C2211yescharacteristic
246#2407C2212yes—
247#2407C2212yes—
248#2407C2214yes—
249#2407C2214yescomplemented
250#2404C2214yes—
251#2399C2212yescomplemented
252#2396C2212yes—
253#2395C2212yes—
254#2392C2212yes—
255#2392C2214yes—
256#2378C2214yescomplemented
257#2370C2212yescomplemented
258#2369C2211yescharacteristic, complemented
259#2367C2212yes—
260#2367C2212yescomplemented
261#2366C2212yes—
262#2366C2212yes—
263#2365C2212yescomplemented
264#2363C2212yes—
265#2362C2212yes—
266#2362C2212yescomplemented
267#2361C2212yes—
268#2361C2212yescomplemented
269#2361C2214yescomplemented
270#2360C2212yescomplemented
271#2354C2211yescharacteristic
272#2354C2212yes—
273Q8×C4⋊C4C2211yescharacteristic, complemented
274#2344C2212yescomplemented
275#2341C2212yescomplemented
276Q8×C22⋊C4C2212yescomplemented
277#2330C2212yescomplemented
278#2328C2212yes—
279#2324C2212yes—
280#2323C2212yescomplemented
281#2323C2214yescomplemented
282#2319C2212yes—
283#2316C2212yescomplemented
284#2311C2214yescomplemented
285#2310C2212yescomplemented
286C4×C4⋊Q8C2211yescharacteristic, complemented
287C4×C4⋊Q8C2211yescharacteristic, complemented
288C4×#124C2211yescharacteristic
289C4×C22⋊Q8C2211yescharacteristic
290C4×C22⋊Q8C2211yescharacteristic
291C4×C22⋊Q8C2212yescomplemented
292C4×C22⋊Q8C2211yescharacteristic, complemented
293C4×#121C2211yescharacteristic
294C4×#121C2212yes—
295C4×#120C2212yes—
296#2295C2211yescharacteristic, complemented
297#2293C2211yescharacteristic
298#2290C2212yes—
299#2280C2212yes—
300C42×D4C2211yescharacteristic
301C22×#41C2312yes—
302C22×#41C2314yes—
303C22×#41C2312yes—
304C23×Q8C2311yescharacteristic
305C23×Q8C2312yes—
306C23×Q8C2312yes—
307C23×D4C2311yescharacteristic
308C24×C4C2312yes—
309#559—28no—
310#559—216no—
311Q82—28no—
312#554—28no—
313#554—216no—
314#554—216no—
315#554—232no—
316#554—216no—
317#554—216no—
318#554D4116yescomplemented
319#550—28no—
320D4×Q8—216no—
321D4×Q8—28no—
322D4×Q8—28no—
323D4×Q8—48no—
324#548—216no—
325#547—232no—
326#547—216no—
327#544—216no—
328#543—232no—
329#542—216no—
330#542—232no—
331#536—48no—
332#533—28no—
333#533—28no—
334#532—28no—
335#532—216no—
336C2×C4⋊Q8C2311yescharacteristic
337C2×C4⋊Q8C2312yes—
338C2×C4⋊Q8C2311yescharacteristic
339C2×C4⋊Q8C2312yes—
340C2×C4⋊Q8C2312yes—
341C2×C4⋊Q8C2311yescharacteristic
342C2×C4⋊Q8C2311yescharacteristic
343C2×C4⋊Q8C2314yes—
344C2×C4⋊Q8C2314yes—
345C2×C4⋊Q8C2312yes—
346C2×C4⋊Q8C2312yes—
347C2×C4⋊Q8C2314yes—
348C2×C4⋊Q8C2311yescharacteristic
349C2×#127C2312yes—
350C2×#127C2311yescharacteristic
351C2×#127C2312yes—
352#529—216no—
353#529—28no—
354C2×#126C2314yes—
355C2×#126C2312yes—
356C2×#125C2311yescharacteristic
357C2×#125C2312yes—
358C2×#125C2312yes—
359C2×#125C2314yes—
360C2×#125C2312yes—
361C2×#125C2312yes—
362C2×#124C2312yes—
363C2×#124C2311yescharacteristic
364C2×#124C2311yescharacteristic
365C2×#124C2314yes—
366C2×#124C2314yes—
367C2×#124C2312yes—
368C2×#124C2312yes—
369C2×#124C2312yes—
370C2×#124C2312yes—
371C2×#124C2312yes—
372#525—48no—
373C2×#123C2314yes—
374C2×#123C2312yes—
375C2×#123C2314yes—
376C2×#123C2314yes—
377C2×#123C2314yes—
378C2×#123C2314yes—
379C2×#123C2314yes—
380C2×#123C2314yes—
381C2×C22⋊Q8—216no—
382C2×C22⋊Q8—216no—
383C2×C22⋊Q8C2314yes—
384C2×C22⋊Q8C2312yes—
385C2×C22⋊Q8C2314yes—
386C2×C22⋊Q8C2311yescharacteristic
387C2×C22⋊Q8C2312yes—
388C2×C22⋊Q8C2312yes—
389C2×C22⋊Q8C2314yes—
390C2×C22⋊Q8C2311yescharacteristic
391C2×C22⋊Q8C2311yescharacteristic
392C2×C22⋊Q8C2311yescharacteristic
393C2×C22⋊Q8C2312yes—
394C2×C22⋊Q8C2314yes—
395C2×C22⋊Q8C2314yes—
396C2×C22⋊Q8C2312yes—
397C2×C22⋊Q8C2314yes—
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2314yes—
400C2×C22⋊Q8C2311yescharacteristic
401C2×C22⋊Q8C2314yes—
402C2×C22⋊Q8C2314yes—
403C2×C22⋊Q8C2314yes—
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2314yes—
406C2×C22⋊Q8C2314yes—
407C2×C22⋊Q8C2314yes—
408C2×C22⋊Q8C2314yes—
409C2×C22⋊Q8C2312yes—
410C2×C22⋊Q8C2314yes—
411C2×C22⋊Q8C2312yes—
412C2×C22⋊Q8C2311yescharacteristic
413C2×C22⋊Q8C2314yes—
414C2×C22⋊Q8C2314yes—
415C2×C22⋊Q8C2314yes—
416C2×C22⋊Q8C2314yes—
417C2×C22⋊Q8C2314yes—
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2314yes—
420C2×#121C2312yes—
421C2×#121C2312yes—
422C2×#121C2311yescharacteristic
423C2×#121C2311yescharacteristic
424C2×#121C2312yes—
425C2×#121C2312yes—
426C2×#121C2314yes—
427C2×#121C2314yes—
428C2×#121C2312yes—
429C2×#121C2312yes—
430C2×#121C2314yes—
431C2×#121C2312yes—
432C2×#121C2312yes—
433C2×#120C2312yes—
434C2×#120C2314yes—
435C2×#120C2314yes—
436#520—216no—
437#518—216no—
438C2×C4×Q8—28no—
439C2×C4×Q8C2311yescharacteristic
440C2×C4×Q8C2311yescharacteristic
441C2×C4×Q8C2311yescharacteristic
442C2×C4×Q8C2312yes—
443C2×C4×Q8C2311yescharacteristic
444C2×C4×Q8C2312yes—
445C2×C4×Q8C2312yes—
446C2×C4×Q8C2312yes—
447C2×C4×Q8C2312yes—
448C2×C4×Q8C2312yes—
449C2×C4×Q8C2311yescharacteristic
450C2×C4×Q8C2312yes—
451C2×C4×Q8C2312yes—
452C2×C4×Q8C2312yes—
453C2×C4×Q8C2311yescharacteristic
454C2×C4×D4—28no—
455C2×C4×D4C2312yes—
456C2×C4×D4C2312yes—
457C2×C4×D4C2314yes—
458C2×C4×D4C2314yes—
459C2×C4×D4C2312yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2314yes—
462C2×C4×D4C2312yes—
463C2×C4×D4C2311yescharacteristic
464C2×C4×D4C2312yes—
465C2×C4×D4C2314yes—
466C2×C4×D4C2312yes—
467C2×C4×D4C2312yes—
468C2×C4×D4C2311yescharacteristic
469C2×C4×D4C2311yescharacteristic
470C2×C4×D4C2312yes—
471C2×C4×D4C2312yes—
472C2×C4×D4C2314yes—
473C2×C4×D4C2312yes—
474C2×C4×D4C2311yescharacteristic
475C2×C4×D4C2314yes—
476C2×C4×D4C2314yes—
477C2×C4×D4C2314yes—
478C2×C4×D4C2312yes—
479C2×C4×D4C2311yescharacteristic
480C2×C4×D4C2311yescharacteristic
481C2×C4×D4C2314yes—
482C2×C4×D4C2312yes—
483C2×C4×D4C2311yescharacteristic
484C2×#117C2312yes—
485C2×#117C2312yes—
486C2×#117C2312yes—
487C2×#117C2314yes—
488C2×#117C2312yes—
489C2×#117C2312yes—
490C2×#117C2314yes—
491C22×C4⋊C4C2314yes—
492C22×C4⋊C4C2312yes—
493C22×C4⋊C4C2311yescharacteristic
494C22×C4⋊C4C2314yes—
495C22×C4⋊C4C2311yescharacteristic
496C22×C4⋊C4C2312yes—
497C22×C4⋊C4C2314yes—
498C22×C4⋊C4C2312yes—
499C22×C22⋊C4C2312yes—
500C22×C22⋊C4C2314yes—
501C22×C22⋊C4C2314yes—
502C22×C42C2311yescharacteristic
503C22×C42C2311yescharacteristic
504C22×C42C2312yes—
505#400C2314yes—
506#400C2314yes—
507#400C2314yes—
508#400C2314yes—
509#400C2312yes—
510#400C2312yes—
511#399C2314yes—
512#399C2314yes—
513#399C2312yes—
514#399C2312yes—
515#398C2314yes—
516#398C2314yes—
517#398C2312yes—
518#398C2314yes—
519#398C2314yes—
520#398C2312yes—
521#398C2314yes—
522#398C2312yes—
523#398C2312yes—
524#398C2312yes—
525#398C2312yes—
526#398C2312yes—
527#398C2312yes—
528#398C2314yes—
529#398C2314yes—
530#398C2314yes—
531#398C2314yes—
532#397C2312yes—
533#397C2314yes—
534#397C2314yes—
535#397C2314yes—
536#397C2314yes—
537#397C2314yes—
538#397C2312yes—
539#397C2314yes—
540#397C2312yes—
541#397C2312yes—
542#397C2314yes—
543#397C2314yes—
544#396C2314yes—
545#396C2314yes—
546#396C2314yes—
547#396C2314yes—
548#396C2314yes—
549#396C2312yes—
550#396C2314yes—
551#396C2312yes—
552#396C2312yes—
553#396C2312yes—
554#396C2314yes—
555#396C2314yes—
556#396C2314yes—
557#396C2314yes—
558#396C2314yes—
559#396C2314yes—
560#396C2314yes—
561#395C2314yes—
562#395C2314yes—
563#395C2312yes—
564#395C2312yes—
565#395C2312yes—
566#395C2312yes—
567#395C2312yes—
568#395C2314yes—
569#394C2314yes—
570#394C2312yes—
571#394C2314yes—
572#394C2312yes—
573#394C2314yes—
574#394C2314yes—
575#394C2314yes—
576#394C2314yes—
577#394C2314yes—
578#394C2314yes—
579#394C2314yes—
580#394C2314yes—
581#394C2312yes—
582#394C2314yes—
583#394C2314yes—
584#394C2312yes—
585#394C2314yes—
586#394C2314yes—
587#394C2312yes—
588#394C2314yes—
589#394C2314yes—
590#393C2314yes—
591#393C2314yes—
592#393C2314yes—
593#393C2314yes—
594#393C2314yes—
595#393C2314yes—
596#393C2312yes—
597#393C2314yes—
598#393C2314yes—
599#393C2314yes—
600#393C2314yes—
601#392C2314yes—
602#392C2314yes—
603#392C2312yes—
604#392C2314yes—
605#392C2314yes—
606#392C2314yes—
607#391C2314yes—
608#391C2311yescharacteristic
609#391C2312yes—
610#391C2311yescharacteristic
611#391C2311yescharacteristic
612#391C2312yes—
613#391C2312yes—
614#391C2312yes—
615#391C2314yes—
616#391C2314yes—
617#391C2314yes—
618#391C2312yes—
619#391C2312yes—
620#391C2311yescharacteristic
621#391C2314yes—
622#391C2312yes—
623#391C2311yescharacteristic
624#391C2314yes—
625#391C2312yes—
626#391C2314yes—
627#391C2311yescharacteristic
628#391C2311yescharacteristic
629#391C2311yescharacteristic
630#391C2314yes—
631#391C2312yes—
632#390C2314yes—
633#390C2312yes—
634#390C2312yes—
635#390C2314yes—
636#390C2314yes—
637#390C2311yescharacteristic
638#390C2312yes—
639#390C2312yes—
640#390C2314yes—
641#390C2311yescharacteristic
642#390C2312yes—
643#390C2312yes—
644#390C2312yes—
645#390C2312yes—
646#390C2314yes—
647#390C2312yes—
648#390C2312yes—
649#390C2311yescharacteristic
650#390C2312yes—
651#390C2314yes—
652#390C2312yes—
653#390C2311yescharacteristic
654#390C2312yes—
655#390C2314yes—
656#389C2312yes—
657#389C2312yes—
658#389C2312yes—
659#389C2312yes—
660#389C2311yescharacteristic
661#389C2314yes—
662#389C2312yes—
663#389C2312yes—
664#389C2314yes—
665#389C2312yes—
666#389C2314yes—
667#389C2314yes—
668#389C2312yes—
669#389C2312yes—
670#389C2311yescharacteristic
671#389C2311yescharacteristic
672#389C2312yes—
673#389C2312yes—
674#389C2312yes—
675#389C2314yes—
676#389C2312yes—
677#389C2314yes—
678#389C2311yescharacteristic
679#389C2314yes—
680#389C2314yes—
681#389C2311yescharacteristic
682#389C2311yescharacteristic
683#389C2314yes—
684#389C2312yes—
685#389C2314yes—
686#389C2311yescharacteristic
687#389C2312yes—
688#389C2311yescharacteristic
689#388C2314yes—
690#388C2314yes—
691#388C2314yes—
692#388C2314yes—
693#388C2314yes—
694#388C2312yes—
695#388C2314yes—
696#388C2314yes—
697#388C2314yes—
698#388C2314yes—
699#388C2314yes—
700#388C2314yes—
701#388C2314yes—
702#388C2314yes—
703#388C2314yes—
704#388C2314yes—
705#388C2314yes—
706#388C2314yes—
707#388C2314yes—
708#388C2314yes—
709#388C2312yes—
710#388C2312yes—
711#388C2312yes—
712#388C2312yes—
713#388C2312yes—
714#388C2312yes—
715#387C2312yes—
716#387C2312yes—
717#387C2314yes—
718#387C2314yes—
719#387C2314yes—
720#387C2314yes—
721#387C2312yes—
722#387C2314yes—
723#387C2314yes—
724#387C2314yes—
725#387C2314yes—
726#387C2312yes—
727#387C2312yes—
728#387C2312yes—
729#387C2312yes—
730#387C2312yes—
731#387C2312yes—
732#386C2314yes—
733#386C2312yes—
734#386C2314yes—
735#386C2314yes—
736#386C2314yes—
737#386C2314yes—
738#386C2314yes—
739#386C2314yes—
740#386C2314yes—
741#386C2314yes—
742#386C2314yes—
743#386C2314yes—
744#386C2314yes—
745#386C2312yes—
746#386C2314yes—
747#386C2314yes—
748#386C2314yes—
749#386C2314yes—
750#386C2314yes—
751#386C2312yes—
752#386C2314yes—
753#386C2312yes—
754#386C2312yes—
755#386C2312yes—
756#386C2314yes—
757#385C2314yes—
758#385C2314yes—
759#385C2314yes—
760#385C2312yes—
761#385C2314yes—
762#385C2314yes—
763#385C2314yes—
764#385C2314yes—
765#385C2312yes—
766#385C2314yes—
767#385C2312yes—
768#385C2312yes—
769#385C2312yes—
770#385C2312yes—
771#385C2312yes—
772#385C2314yes—
773#385C2312yes—
774#385C2312yes—
775#385C2312yes—
776#384C2311yescharacteristic
777#384C2311yescharacteristic
778#384C2312yes—
779#382C2311yescharacteristic
780#382C2312yes—
781#381C2314yes—
782#381C2314yes—
783#381C2314yes—
784#381C2312yes—
785#381C2312yes—
786#380C2314yes—
787#380C2314yes—
788#380C2312yes—
789#380C2314yes—
790#380C2314yes—
791#380C2314yes—
792#380C2314yes—
793#380C2312yes—
794#380C2311yescharacteristic
795#380C2311yescharacteristic
796#380C2312yes—
797#380C2314yes—
798#380C2312yes—
799#380C2314yes—
800#380C2312yes—
801#380C2311yescharacteristic
802#380C2314yes—
803#380C2311yescharacteristic
804#380C2312yes—
805#380C2312yes—
806#380C2312yes—
807#380C2312yes—
808#379C2312yes—
809#379C2312yes—
810#379C2312yes—
811C4×C4⋊C4C2314yes—
812C4×C4⋊C4C2312yes—
813C4×C4⋊C4C2312yes—
814C4×C4⋊C4C2312yes—
815C4×C4⋊C4C2312yes—
816C4×C4⋊C4C2312yes—
817C4×C4⋊C4C2311yescharacteristic
818C4×C4⋊C4C2312yes—
819C4×C4⋊C4C2312yes—
820C4×C4⋊C4C2312yes—
821C4×C4⋊C4C2312yes—
822C4×C4⋊C4C2311yescharacteristic
823C4×C4⋊C4C2314yes—
824C4×C4⋊C4C2312yes—
825C4×C4⋊C4C2312yes—
826C4×C4⋊C4C2312yes—
827C4×C4⋊C4C2311yescharacteristic
828C4×C4⋊C4C2311yescharacteristic
829C4×C4⋊C4C2311yescharacteristic
830C4×C22⋊C4C2314yes—
831C4×C22⋊C4C2312yes—
832C4×C22⋊C4C2311yescharacteristic
833C4×C22⋊C4C2314yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2314yes—
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2311yescharacteristic
839C4×C22⋊C4C2311yescharacteristic
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2311yescharacteristic
842C4×C22⋊C4C2312yes—
843C4×C22⋊C4C2311yescharacteristic
844C4×C22⋊C4C2311yescharacteristic
845C4×C22⋊C4C2312yes—
846#376C2312yes—
847C43C2311yescharacteristic
848C25C2412yes—
849C2×#41—28no—
850C2×#41—28no—
851C2×#41—28no—
852C2×#41—216no—
853C2×#41—44no—
854C2×#41—48no—
855C2×#41—44no—
856C2×#41—84no—
857C2×#41—82no—
858C22×Q8—24no—
859C22×Q8—24no—
860C22×Q8—28no—
861C22×Q8—28no—
862C22×Q8—42no—
863C22×Q8—44no—
864C22×Q8—44no—
865C22×Q8—44no—
866C22×Q8—44no—
867C22×Q8C2411yescharacteristic
868C22×Q8C2412yes—
869C22×Q8C2411yescharacteristic
870C22×Q8C2412yes—
871C22×Q8C2411yescharacteristic
872C22×Q8C2411yescharacteristic
873C22×Q8C2412yes—
874C22×Q8C2414yes—
875C22×Q8C2414yes—
876C22×Q8C2414yes—
877C22×Q8C2412yes—
878C22×D4—24no—
879C22×D4—24no—
880C22×D4—24no—
881C22×D4C2412yes—
882C22×D4C2412yes—
883C22×D4C2412yes—
884C22×D4C2411yescharacteristic
885C22×D4C2412yes—
886C22×D4C2414yes—
887C22×D4C2412yes—
888C22×D4C2414yes—
889C22×D4C2411yescharacteristic
890C22×D4C2411yescharacteristic
891C22×D4C2414yes—
892C22×D4C2414yes—
893C22×D4C2414yes—
894C22×D4C2414yes—
895C22×D4C2412yes—
896C23×C4—28no—
897C23×C4—44no—
898C23×C4—44no—
899C23×C4C2411yescharacteristic
900C23×C4C2412yes—
901C23×C4C2411yescharacteristic
902C23×C4C2411yescharacteristic
903C23×C4C2411yescharacteristic
904C23×C4C2412yes—
905C23×C4C2414yes—
906C23×C4C2412yes—
907C23×C4C2412yes—
908C23×C4C2411yescharacteristic
909C23×C4C2411yescharacteristic
910C23×C4C2414yes—
911C23×C4C2414yes—
912C23×C4C2412yes—
913C23×C4C2414yes—
914C23×C4C2412yes—
915C23×C4C2412yes—
916C23×C4C2414yes—
917C23×C4C2414yes—
918C23×C4C2414yes—
919C4⋊Q8—24no—
920C4⋊Q8—216no—
921C4⋊Q8—24no—
922C4⋊Q8—28no—
923C4⋊Q8—28no—
924C4⋊Q8—24no—
925C4⋊Q8—28no—
926C4⋊Q8—216no—
927C4⋊Q8—28no—
928C4⋊Q8—24no—
929C4⋊Q8—28no—
930C4⋊Q8—48no—
931C4⋊Q8C2×D418yes—
932#127—28no—
933#127—28no—
934#127—24no—
935#126—216no—
936#126—28no—
937#125—24no—
938#125—28no—
939#125—28no—
940#125—28no—
941#125—216no—
942#125C2×D4116yes—
943#124—28no—
944#124—28no—
945#124—24no—
946#124—24no—
947#124—216no—
948#124—216no—
949#124—28no—
950#124—44no—
951#124—44no—
952#124—44no—
953#123—216no—
954#123—216no—
955#123—216no—
956#123—28no—
957#123—216no—
958#123—48no—
959#123—48no—
960#123—48no—
961C22⋊Q8—24no—
962C22⋊Q8—28no—
963C22⋊Q8—216no—
964C22⋊Q8—24no—
965C22⋊Q8—28no—
966C22⋊Q8—28no—
967C22⋊Q8—216no—
968C22⋊Q8—24no—
969C22⋊Q8—24no—
970C22⋊Q8—28no—
971C22⋊Q8—216no—
972C22⋊Q8—216no—
973C22⋊Q8—28no—
974C22⋊Q8—28no—
975C22⋊Q8—216no—
976C22⋊Q8—24no—
977C22⋊Q8—28no—
978C22⋊Q8—216no—
979C22⋊Q8—216no—
980C22⋊Q8—216no—
981C22⋊Q8—216no—
982C22⋊Q8—216no—
983C22⋊Q8—216no—
984C22⋊Q8—216no—
985C22⋊Q8—216no—
986C22⋊Q8—216no—
987C22⋊Q8—44no—
988C22⋊Q8—48no—
989C22⋊Q8—48no—
990C22⋊Q8—48no—
991C22⋊Q8—48no—
992C22⋊Q8—42no—
993C22⋊Q8—44no—
994C22⋊Q8—84no—
995C22⋊Q8—84no—
996C22⋊Q8C2×D4116yes—
997C22⋊Q8C2×D4132yes—
998#121—24no—
999#121—24no—
1000#121—28no—
1001#121—28no—
1002#121—28no—
1003#121—28no—
1004#121—216no—
1005#121—216no—
1006#121—48no—
1007#121—44no—
1008#121—44no—
1009#121—44no—
1010#121—82no—
1011#120—48no—
1012#120—44no—
1013#120—84no—
1014C4×Q8—24no—
1015C4×Q8—28no—
1016C4×Q8—24no—
1017C4×Q8—28no—
1018C4×Q8—28no—
1019C4×Q8—28no—
1020C4×Q8—28no—
1021C4×Q8—24no—
1022C4×Q8—28no—
1023C4×Q8—24no—
1024C4×Q8—24no—
1025C4×Q8—28no—
1026C4×Q8—44no—
1027C4×Q8—82no—
1028C4×Q8C2×D418yes—
1029C4×D4—24no—
1030C4×D4—28no—
1031C4×D4—28no—
1032C4×D4—216no—
1033C4×D4—216no—
1034C4×D4—216no—
1035C4×D4—28no—
1036C4×D4—24no—
1037C4×D4—24no—
1038C4×D4—28no—
1039C4×D4—28no—
1040C4×D4—28no—
1041C4×D4—216no—
1042C4×D4—28no—
1043C4×D4—28no—
1044C4×D4—28no—
1045C4×D4—216no—
1046C4×D4—24no—
1047C4×D4—28no—
1048C4×D4—28no—
1049C4×D4—42no—
1050C4×D4—44no—
1051C4×D4—48no—
1052C4×D4—48no—
1053C4×D4—48no—
1054C4×D4—42no—
1055C4×D4—84no—
1056C4×D4C2×D418yes—
1057C4×D4C2×D4116yes—
1058#117—28no—
1059#117—28no—
1060#117—216no—
1061#117—28no—
1062#117—44no—
1063#117—44no—
1064#117—84no—
1065C2×C4⋊C4—216no—
1066C2×C4⋊C4—24no—
1067C2×C4⋊C4—28no—
1068C2×C4⋊C4—24no—
1069C2×C4⋊C4—216no—
1070C2×C4⋊C4—216no—
1071C2×C4⋊C4—28no—
1072C2×C4⋊C4C2×D4116yes—
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2414yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2411yescharacteristic
1079C2×C4⋊C4C2411yescharacteristic
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2414yes—
1082C2×C4⋊C4C2411yescharacteristic
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2414yes—
1087C2×C4⋊C4C2414yes—
1088C2×C4⋊C4C2414yes—
1089C2×C4⋊C4C2414yes—
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2411yescharacteristic
1092C2×C4⋊C4C2412yes—
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2412yes—
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2411yescharacteristic
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2414yes—
1100C2×C4⋊C4C2414yes—
1101C2×C4⋊C4C2411yescharacteristic
1102C2×C4⋊C4C2414yes—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2414yes—
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2411yescharacteristic
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2411yescharacteristic
1111C2×C4⋊C4C2414yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2411yescharacteristic
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2414yes—
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2411yescharacteristic
1123C2×C4⋊C4C2411yescharacteristic
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2414yes—
1126C2×C4⋊C4C2414yes—
1127C2×C4⋊C4C2414yes—
1128C2×C4⋊C4C2414yes—
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2414yes—
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2412yes—
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2411yescharacteristic
1137C2×C4⋊C4C2414yes—
1138C2×C4⋊C4C2412yes—
1139C2×C4⋊C4C2411yescharacteristic
1140C2×C4⋊C4C2414yes—
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2412yes—
1143C2×C22⋊C4—216no—
1144C2×C22⋊C4—28no—
1145C2×C22⋊C4—216no—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2414yes—
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2414yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2414yes—
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2411yescharacteristic
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2414yes—
1168C2×C22⋊C4C2411yescharacteristic
1169C2×C22⋊C4C2411yescharacteristic
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2414yes—
1178C2×C22⋊C4C2414yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2414yes—
1183C2×C22⋊C4C2414yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2414yes—
1188C2×C22⋊C4C2411yescharacteristic
1189C2×C22⋊C4C2411yescharacteristic
1190C2×C22⋊C4C2411yescharacteristic
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2414yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2414yes—
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2414yes—
1201C2×C22⋊C4C2414yes—
1202C2×C22⋊C4C2414yes—
1203C2×C22⋊C4C2414yes—
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2414yes—
1206C2×C22⋊C4C2414yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2414yes—
1209C2×C42—24no—
1210C2×C42—24no—
1211C2×C42—28no—
1212C2×C42C2411yescharacteristic
1213C2×C42C2412yes—
1214C2×C42C2411yescharacteristic
1215C2×C42C2412yes—
1216C2×C42C2414yes—
1217C2×C42C2412yes—
1218C2×C42C2414yes—
1219C2×C42C2412yes—
1220C2×C42C2411yescharacteristic
1221C2×C42C2411yescharacteristic
1222C2×C42C2411yescharacteristic
1223C2×C42C2411yescharacteristic
1224C2×C42C2412yes—
1225C2×C42C2411yescharacteristic
1226C2×C42C2411yescharacteristic
1227C2×C42C2412yes—
1228C2×C42C2411yescharacteristic
1229C2×C42C2411yescharacteristic
1230C2×C42C2412yes—
1231C2×C42C2414yes—
1232C2×C42C2414yes—
1233C2×C42C2414yes—
1234C2×C42C2414yes—
1235C2×C42C2411yescharacteristic
1236C2×C42C2411yescharacteristic
1237C2×C42C2412yes—
1238C2×C42C2411yescharacteristic
1239#95C2412yes—
1240#95C2412yes—
1241#95C2412yes—
1242#95C2412yes—
1243#95C2411yescharacteristic
1244#95C2411yescharacteristic
1245#95C2411yescharacteristic
1246#95C2412yes—
1247#95C2411yescharacteristic
1248#95C2411yescharacteristic
1249#95C2411yescharacteristic
1250#95C2412yes—
1251#95C2412yes—
1252#95C2412yes—
1253#95C2412yes—
1254#95C2412yes—
1255#95C2414yes—
1256#95C2412yes—
1257#95C2412yes—
1258#95C2412yes—
1259#95C2414yes—
1260#95C2412yes—
1261#95C2412yes—
1262#95C2412yes—
1263#95C2412yes—
1264#95C2412yes—
1265#95C2414yes—
1266#95C2412yes—
1267#95C2414yes—
1268#95C2412yes—
1269#95C2412yes—
1270#95C2412yes—
1271#95C2414yes—
1272#95C2412yes—
1273#95C2414yes—
1274#95C2414yes—
1275#95C2414yes—
1276#95C2412yes—
1277#95C2412yes—
1278#95C2414yes—
1279#95C2414yes—
1280#95C2412yes—
1281#95C2412yes—
1282#95C2412yes—
1283#95C2412yes—
1284#95C2412yes—
1285#95C2414yes—
1286#95C2412yes—
1287#95C2412yes—
1288#95C2414yes—
1289#95C2414yes—
1290#95C2414yes—
1291#95C2414yes—
1292#95C2414yes—
1293#95C2414yes—
1294#95C2414yes—
1295C24—24no—
1296C24—24no—
1297C24—24no—
1298C24—42no—
1299C24—42no—
1300C24—42no—
1301C24—42no—
1302C24C2514yes—
1303C24C2512yes—
1304C24C2511yescharacteristic
1305C24C2512yes—
1306C24C2511yescharacteristic
1307#41—432no—
1308#41—832no—
1309#41—816no—
1310C2×Q8—22no—
1311C2×Q8—22no—
1312C2×Q8—24no—
1313C2×Q8—24no—
1314C2×Q8—22no—
1315C2×Q8—24no—
1316C2×Q8—28no—
1317C2×Q8—28no—
1318C2×Q8—28no—
1319C2×Q8—22no—
1320C2×Q8—24no—
1321C2×Q8—24no—
1322C2×Q8—22no—
1323C2×Q8—22no—
1324C2×Q8—22no—
1325C2×Q8—22no—
1326C2×Q8—22no—
1327C2×Q8—22no—
1328C2×Q8—24no—
1329C2×Q8—42no—
1330C2×Q8—42no—
1331C2×Q8—42no—
1332C2×Q8—44no—
1333C2×Q8—44no—
1334C2×Q8—42no—
1335C2×Q8—42no—
1336C2×Q8—44no—
1337C2×Q8—44no—
1338C2×Q8—44no—
1339C2×Q8—44no—
1340C2×Q8—416no—
1341C2×Q8—816no—
1342C2×Q8—816no—
1343C2×Q8C22×D414yes—
1344C2×Q8C22×D418yes—
1345C2×Q8H(5,𝔽2)14yes—
1346C2×D4—232no—
1347C2×D4—24no—
1348C2×D4—24no—
1349C2×D4—28no—
1350C2×D4—24no—
1351C2×D4—22no—
1352C2×D4—24no—
1353C2×D4—22no—
1354C2×D4—24no—
1355C2×D4—24no—
1356C2×D4—28no—
1357C2×D4—28no—
1358C2×D4—28no—
1359C2×D4—28no—
1360C2×D4—28no—
1361C2×D4—22no—
1362C2×D4—24no—
1363C2×D4—24no—
1364C2×D4—28no—
1365C2×D4—24no—
1366C2×D4—28no—
1367C2×D4—24no—
1368C2×D4—24no—
1369C2×D4—22no—
1370C2×D4—22no—
1371C2×D4—22no—
1372C2×D4—24no—
1373C2×D4—24no—
1374C2×D4—24no—
1375C2×D4—42no—
1376C2×D4—41no—
1377C2×D4—44no—
1378C2×D4—44no—
1379C2×D4—42no—
1380C2×D4—44no—
1381C2×D4—44no—
1382C2×D4—44no—
1383C2×D4—44no—
1384C2×D4—44no—
1385C2×D4—44no—
1386C2×D4—44no—
1387C2×D4—42no—
1388C2×D4—42no—
1389C2×D4—44no—
1390C2×D4C22×D414yes—
1391C2×D42−1+414yes—
1392C22×C4—22no—
1393C22×C4—24no—
1394C22×C4—22no—
1395C22×C4—24no—
1396C22×C4—22no—
1397C22×C4—24no—
1398C22×C4—28no—
1399C22×C4—24no—
1400C22×C4—22no—
1401C22×C4—22no—
1402C22×C4—24no—
1403C22×C4—24no—
1404C22×C4—22no—
1405C22×C4—22no—
1406C22×C4—28no—
1407C22×C4—24no—
1408C22×C4—24no—
1409C22×C4—22no—
1410C22×C4—28no—
1411C22×C4—24no—
1412C22×C4—22no—
1413C22×C4—22no—
1414C22×C4—22no—
1415C22×C4—22no—
1416C22×C4—22no—
1417C22×C4—24no—
1418C22×C4—22no—
1419C22×C4—28no—
1420C22×C4—28no—
1421C22×C4—24no—
1422C22×C4—24no—
1423C22×C4—28no—
1424C22×C4—28no—
1425C22×C4—44no—
1426C22×C4—42no—
1427C22×C4—44no—
1428C22×C4—44no—
1429C22×C4—41no—
1430C22×C4—42no—
1431C22×C4—42no—
1432C22×C4—42no—
1433C22×C4—44no—
1434C22×C4—41no—
1435C22×C4—44no—
1436C22×C4—44no—
1437C22×C4—44no—
1438C22×C4—41no—
1439C22×C4—44no—
1440C22×C4—42no—
1441C22×C4—44no—
1442C22×C4—42no—
1443C22×C4—42no—
1444C22×C4—42no—
1445C22×C4—44no—
1446C22×C4—44no—
1447C22×C4—44no—
1448C22×C4—44no—
1449C22×C4—816no—
1450C22×C4C22×D418yes—
1451C22×C4C22×D4116yes—
1452C22×C42−1+414yes—
1453C22×C4C2511yescharacteristic
1454C22×C4C2512yes—
1455C22×C4C2512yes—
1456C22×C4C2511yescharacteristic
1457C22×C4C2511yescharacteristic
1458C22×C4C2512yes—
1459C22×C4C2512yes—
1460C22×C4C2511yescharacteristic
1461C22×C4C2514yes—
1462C22×C4C2511yescharacteristic
1463C22×C4C2512yes—
1464C22×C4C2512yes—
1465C22×C4C2511yescharacteristic
1466C22×C4C2512yes—
1467C22×C4C2511yescharacteristic
1468C22×C4C2512yes—
1469C22×C4C2514yes—
1470C22×C4C2512yes—
1471C22×C4C2511yescharacteristic
1472C22×C4C2512yes—
1473C22×C4C2511yescharacteristic
1474C22×C4C2511yescharacteristic
1475C22×C4C2512yes—
1476C22×C4C2514yes—
1477C22×C4C2512yes—
1478C22×C4C2512yes—
1479C22×C4C2512yes—
1480C22×C4C2511yescharacteristic
1481C22×C4C2511yescharacteristic
1482C22×C4C2511yescharacteristic
1483C4⋊C4—24no—
1484C4⋊C4—24no—
1485C4⋊C4—24no—
1486C4⋊C4—28no—
1487C4⋊C4—24no—
1488C4⋊C4—22no—
1489C4⋊C4—24no—
1490C4⋊C4—22no—
1491C4⋊C4—28no—
1492C4⋊C4—24no—
1493C4⋊C4—22no—
1494C4⋊C4—24no—
1495C4⋊C4—24no—
1496C4⋊C4—28no—
1497C4⋊C4—28no—
1498C4⋊C4—28no—
1499C4⋊C4—28no—
1500C4⋊C4—24no—
1501C4⋊C4—24no—
1502C4⋊C4—24no—
1503C4⋊C4—24no—
1504C4⋊C4—22no—
1505C4⋊C4—24no—
1506C4⋊C4—28no—
1507C4⋊C4—24no—
1508C4⋊C4—24no—
1509C4⋊C4—24no—
1510C4⋊C4—28no—
1511C4⋊C4—24no—
1512C4⋊C4—22no—
1513C4⋊C4—24no—
1514C4⋊C4—24no—
1515C4⋊C4—28no—
1516C4⋊C4—28no—
1517C4⋊C4—28no—
1518C4⋊C4—24no—
1519C4⋊C4—24no—
1520C4⋊C4—22no—
1521C4⋊C4—22no—
1522C4⋊C4—24no—
1523C4⋊C4—22no—
1524C4⋊C4—24no—
1525C4⋊C4—22no—
1526C4⋊C4—42no—
1527C4⋊C4—42no—
1528C4⋊C4—42no—
1529C4⋊C4—44no—
1530C4⋊C4—41no—
1531C4⋊C4—41no—
1532C4⋊C4—42no—
1533C4⋊C4—42no—
1534C4⋊C4—44no—
1535C4⋊C4—42no—
1536C4⋊C4—44no—
1537C4⋊C4—44no—
1538C4⋊C4—42no—
1539C4⋊C4—42no—
1540C4⋊C4—42no—
1541C4⋊C4—42no—
1542C4⋊C4—44no—
1543C4⋊C4—42no—
1544C4⋊C4—44no—
1545C4⋊C4—42no—
1546C4⋊C4C22×D414yes—
1547C4⋊C4C22×D4116yes—
1548C4⋊C4C22×D418yes—
1549C4⋊C4C22×D414yes—
1550C4⋊C4C22×D4116yes—
1551C4⋊C4C22×D418yes—
1552C4⋊C4C22×D418yes—
1553C22⋊C4—24no—
1554C22⋊C4—28no—
1555C22⋊C4—24no—
1556C22⋊C4—24no—
1557C22⋊C4—24no—
1558C22⋊C4—22no—
1559C22⋊C4—24no—
1560C22⋊C4—24no—
1561C22⋊C4—24no—
1562C22⋊C4—24no—
1563C22⋊C4—22no—
1564C22⋊C4—24no—
1565C22⋊C4—24no—
1566C22⋊C4—28no—
1567C22⋊C4—24no—
1568C22⋊C4—24no—
1569C22⋊C4—28no—
1570C22⋊C4—28no—
1571C22⋊C4—24no—
1572C22⋊C4—28no—
1573C22⋊C4—28no—
1574C22⋊C4—24no—
1575C22⋊C4—28no—
1576C22⋊C4—28no—
1577C22⋊C4—28no—
1578C22⋊C4—28no—
1579C22⋊C4—24no—
1580C22⋊C4—28no—
1581C22⋊C4—22no—
1582C22⋊C4—28no—
1583C22⋊C4—44no—
1584C22⋊C4—42no—
1585C22⋊C4—42no—
1586C22⋊C4—42no—
1587C22⋊C4—44no—
1588C22⋊C4—41no—
1589C22⋊C4—41no—
1590C22⋊C4—41no—
1591C22⋊C4—44no—
1592C22⋊C4—44no—
1593C22⋊C4—42no—
1594C22⋊C4—42no—
1595C22⋊C4—44no—
1596C22⋊C4—42no—
1597C22⋊C4—44no—
1598C22⋊C4—42no—
1599C22⋊C4—42no—
1600C22⋊C4—42no—
1601C22⋊C4—42no—
1602C22⋊C4—44no—
1603C22⋊C4—44no—
1604C22⋊C4—44no—
1605C22⋊C4—44no—
1606C22⋊C4—42no—
1607C22⋊C4—44no—
1608C22⋊C4—44no—
1609C22⋊C4—44no—
1610C22⋊C4—44no—
1611C22⋊C4—42no—
1612C22⋊C4—44no—
1613C22⋊C4—44no—
1614C22⋊C4C22×D418yes—
1615C22⋊C4C22×D4116yes—
1616C42—24no—
1617C42—22no—
1618C42—22no—
1619C42—22no—
1620C42—22no—
1621C42—22no—
1622C42—24no—
1623C42—22no—
1624C42—24no—
1625C42—28no—
1626C42—24no—
1627C42—28no—
1628C42—24no—
1629C42—22no—
1630C42—24no—
1631C42—22no—
1632C42—22no—
1633C42—24no—
1634C42—22no—
1635C42—44no—
1636C42—44no—
1637C42—44no—
1638C42—41no—
1639C42—44no—
1640C42—41no—
1641C42C22×D414yes—
1642C42C22×D418yes—
1643C23—216no—
1644C23—21no—
1645C23—22no—
1646C23—21no—
1647C23—22no—
1648C23—21no—
1649C23—21no—
1650C23—22no—
1651C23—21no—
1652C23—21no—
1653C23—21no—
1654C23—22no—
1655C23—22no—
1656C23—22no—
1657C23—21no—
1658C23—21no—
1659C23—21no—
1660C23—22no—
1661C23—22no—
1662C23—22no—
1663C23—22no—
1664C23—22no—
1665C23—22no—
1666C23—21no—
1667C23—21no—
1668C23—24no—
1669C23—24no—
1670C23—24no—
1671C23—24no—
1672C23—24no—
1673C23—24no—
1674C23—24no—
1675C23—84no—
1676C23—84no—
1677C23—84no—
1678C23—84no—
1679C23—84no—
1680C23—84no—
1681C23C23×D414yes—
1682C23C2×2−1+412yes—
1683C23C2×2−1+414yes—
1684C23#58512yes—
1685C23C2611yescharacteristic
1686Q8—28no—
1687Q8—28no—
1688Q8—48no—
1689Q8—48no—
1690Q8—44no—
1691Q8—48no—
1692Q8—44no—
1693Q8—84no—
1694Q8—88no—
1695Q8—88no—
1696Q8—88no—
1697D4—216no—
1698D4—28no—
1699D4—28no—
1700D4—416no—
1701D4—416no—
1702D4—48no—
1703D4—44no—
1704D4—48no—
1705D4—48no—
1706D4—48no—
1707D4—84no—
1708D4—88no—
1709D4—88no—
1710D4—88no—
1711D4—88no—
1712C2×C4—21no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—22no—
1719C2×C4—24no—
1720C2×C4—22no—
1721C2×C4—22no—
1722C2×C4—22no—
1723C2×C4—24no—
1724C2×C4—21no—
1725C2×C4—22no—
1726C2×C4—28no—
1727C2×C4—216no—
1728C2×C4—21no—
1729C2×C4—22no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—22no—
1734C2×C4—21no—
1735C2×C4—22no—
1736C2×C4—22no—
1737C2×C4—24no—
1738C2×C4—22no—
1739C2×C4—22no—
1740C2×C4—22no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—22no—
1744C2×C4—22no—
1745C2×C4—24no—
1746C2×C4—21no—
1747C2×C4—22no—
1748C2×C4—22no—
1749C2×C4—24no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—22no—
1756C2×C4—22no—
1757C2×C4—21no—
1758C2×C4—22no—
1759C2×C4—22no—
1760C2×C4—21no—
1761C2×C4—22no—
1762C2×C4—24no—
1763C2×C4—22no—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—22no—
1769C2×C4—22no—
1770C2×C4—21no—
1771C2×C4—22no—
1772C2×C4—22no—
1773C2×C4—22no—
1774C2×C4—22no—
1775C2×C4—24no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—22no—
1780C2×C4—22no—
1781C2×C4—21no—
1782C2×C4—22no—
1783C2×C4—22no—
1784C2×C4—24no—
1785C2×C4—21no—
1786C2×C4—21no—
1787C2×C4—22no—
1788C2×C4—22no—
1789C2×C4—21no—
1790C2×C4—22no—
1791C2×C4—416no—
1792C2×C4—48no—
1793C2×C4—416no—
1794C2×C4—48no—
1795C2×C4—44no—
1796C2×C4—44no—
1797C2×C4—44no—
1798C2×C4—48no—
1799C2×C4—44no—
1800C2×C4—88no—
1801C2×C4—82no—
1802C2×C4—84no—
1803C2×C4—84no—
1804C2×C4—88no—
1805C2×C4—88no—
1806C2×C4—88no—
1807C2×C4—84no—
1808C2×C4—88no—
1809C2×C4C23×D412yes—
1810C2×C4C23×D418yes—
1811C2×C4C23×D414yes—
1812C2×C4C23×D414yes—
1813C2×C4C23×D414yes—
1814C2×C4C23×D412yes—
1815C2×C4C23×D412yes—
1816C2×C4C2×H(5,𝔽2)14yes—
1817C2×C4C2×H(5,𝔽2)12yes—
1818C2×C4C2×2−1+412yes—
1819C2×C4C2×2−1+412yes—
1820C2×C4C2×2−1+412yes—
1821C2×C4#58512yes—
1822C22—22no—
1823C22—24no—
1824C22—22no—
1825C22—24no—
1826C22—22no—
1827C22—24no—
1828C22—24no—
1829C22—24no—
1830C22—22no—
1831C22—22no—
1832C22—22no—
1833C22—24no—
1834C22—42no—
1835C22—41no—
1836C22—42no—
1837C22—41no—
1838C22—41no—
1839C22—41no—
1840C22—42no—
1841C22—41no—
1842C22—42no—
1843C22—42no—
1844C22—41no—
1845C22—42no—
1846C22—42no—
1847C22—41no—
1848C22—42no—
1849C22—41no—
1850C22—44no—
1851C22—44no—
1852C22—44no—
1853C22—44no—
1854C22—44no—
1855C22—44no—
1856C22—44no—
1857C22—816no—
1858C22C24×D411yescharacteristic
1859C22C22×H(5,𝔽2)11yescharacteristic
1860C22C22×2−1+411yescharacteristic
1861C22C22×2−1+411yescharacteristic
1862C22C2×#58511yescharacteristic
1863C22C2×#58511yescharacteristic
1864C22H(7,𝔽2)11yescharacteristic
1865C4—24no—
1866C4—28no—
1867C4—22no—
1868C4—22no—
1869C4—24no—
1870C4—24no—
1871C4—24no—
1872C4—41no—
1873C4—42no—
1874C4—42no—
1875C4—42no—
1876C4—41no—
1877C4—41no—
1878C4—42no—
1879C4—42no—
1880C4—41no—
1881C4—42no—
1882C4—41no—
1883C4—42no—
1884C4—41no—
1885C4—42no—
1886C4—44no—
1887C4—41no—
1888C4—41no—
1889C4—42no—
1890C4—44no—
1891C4—41no—
1892C4—42no—
1893C4#348614yes—
1894C4#348814yes—
1895C2—42no—
1896C2—44no—
1897C2—44no—
1898C2—42no—
1899C2—84no—
1900C2C2×#348611yescharacteristic
1901C2C2×#348811yescharacteristic
1902C2#6283111yescharacteristic
1903C2#6291711yescharacteristic
1904C2#6295111yescharacteristic
1905C2#6298711yescharacteristic
1906C2#6301511yescharacteristic
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×#3522C2semidirect
2. C2×#3501C2semidirect
3. #59655C2semidirect
4. #59083C2semidirect
5. #59081C2semidirect
6. #59057C2semidirect
7. #59005C2semidirect
8. #50176C2semidirect
9. #47832C2semidirect
10. #46373C2semidirect
11. #45289C2semidirect
12. #45248C2semidirect
13. #44996C2semidirect
14. #44948C2semidirect
15. #44939C2semidirect
16. #42678C2semidirect
17. #42477C2semidirect
18. #39726C2semidirect
19. #39470C2semidirect
20. #39363C2semidirect
21. #39171C2semidirect
22. #38911C2semidirect
23. #38905C2semidirect
24. #37759C2semidirect
25. #37665C2semidirect
26. Q8×#121C2semidirect
27. #36150C2semidirect
28. #36101C2semidirect
29. #35808C2semidirect
30. #35724C2semidirect
31. #35633C2semidirect
32. #35524C2semidirect
33. #34700C2semidirect
34. #34691C2semidirect
35. #34484C2semidirect
39. C2×#559C22semidirect
40. C2×Q82C22semidirect
47. C2×#554C22semidirect
52. C2×D4×Q8C22semidirect
53. C2×#548C22semidirect
54. C2×#547C22semidirect
55. C2×#547C22semidirect
58. C2×#542C22semidirect
59. C2×#542C22semidirect
60. C2×#536C22semidirect
64. C2×#532C22semidirect
66. C2×#529C22semidirect
70. C2×#520C22semidirect
72. C22×C4×Q8C22semidirect
74. #2858C22semidirect
75. #2857C22semidirect
76. #2857C22semidirect
79. #2814C22semidirect
80. #2730C22semidirect
82. #2729C22semidirect
83. #2716C22semidirect
84. #2707C22semidirect
85. #2707C22semidirect
86. #2704C22semidirect
88. #2700C22semidirect
89. #2700C22semidirect
91. #2696C22semidirect
92. #2696C22semidirect
93. #2696C22semidirect
96. #2692C22semidirect
97. #2692C22semidirect
98. #2689C22semidirect
99. #2687C22semidirect
100. #2687C22semidirect
101. #2687C22semidirect
102. #2683C22semidirect
103. #2683C22semidirect
105. #2681C22semidirect
106. #2681C22semidirect
107. #2681C22semidirect
108. #2681C22semidirect
109. #2681C22semidirect
110. #2677C22semidirect
111. #2674C22semidirect
112. #2674C22semidirect
113. #2640C22semidirect
114. #2638C22semidirect
116. #2625C22semidirect
117. #2623C22semidirect
119. #2620C22semidirect
120. #2616C22semidirect
122. #2592C22semidirect
123. #2582C22semidirect
124. #2568C22semidirect
125. #2563C22semidirect
126. #2560C22semidirect
127. #2550C22semidirect
128. #2550C22semidirect
129. #2550C22semidirect
130. #2548C22semidirect
131. #2546C22semidirect
132. #2546C22semidirect
133. #2545C22semidirect
137. #2540C22semidirect
140. #2538C22semidirect
144. #2492C22semidirect
145. #2492C22semidirect
146. #2492C22semidirect
147. #2490C22semidirect
148. #2490C22semidirect
149. #2486C22semidirect
150. #2486C22semidirect
151. #2481C22semidirect
153. #2477C22semidirect
154. #2475C22semidirect
155. #2473C22semidirect
156. #2473C22semidirect
162. #2463C22semidirect
163. #2462C22semidirect
171. #2454C22semidirect
172. #2454C22semidirect
173. #2453C22semidirect
174. #2453C22semidirect
177. #2452C22semidirect
178. #2452C22semidirect
179. #2452C22semidirect
180. #2452C22semidirect
181. #2451C22semidirect
182. #2451C22semidirect
184. #2449C22semidirect
185. #2449C22semidirect
186. #2448C22semidirect
189. #2446C22semidirect
190. #2446C22semidirect
195. #2440C22semidirect
196. #2440C22semidirect
198. #2436C22semidirect
199. #2436C22semidirect
200. #2436C22semidirect
202. #2434C22semidirect
204. #2432C22semidirect
207. #2429C22semidirect
208. #2429C22semidirect
209. #2429C22semidirect
210. #2429C22semidirect
215. #2427C22semidirect
216. #2427C22semidirect
217. #2427C22semidirect
220. #2426C22semidirect
231. #2417C22semidirect
232. #2417C22semidirect
233. #2417C22semidirect
234. #2417C22semidirect
235. #2416C22semidirect
237. #2415C22semidirect
238. #2415C22semidirect
239. #2415C22semidirect
244. #2409C22semidirect
249. #2407C22semidirect
251. #2399C22semidirect
256. #2378C22semidirect
257. #2370C22semidirect
258. #2369C22semidirect
260. #2367C22semidirect
263. #2365C22semidirect
266. #2362C22semidirect
268. #2361C22semidirect
269. #2361C22semidirect
270. #2360C22semidirect
273. Q8×C4⋊C4C22semidirect
274. #2344C22semidirect
275. #2341C22semidirect
276. Q8×C22⋊C4C22semidirect
277. #2330C22semidirect
280. #2323C22semidirect
281. #2323C22semidirect
283. #2316C22semidirect
284. #2311C22semidirect
285. #2310C22semidirect
286. C4×C4⋊Q8C22semidirect
287. C4×C4⋊Q8C22semidirect
291. C4×C22⋊Q8C22semidirect
292. C4×C22⋊Q8C22semidirect
296. #2295C22semidirect
318. #554D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35222
C2×#35012
#596552
#590832
#590812
#590572
#590052
#501762
#478322
#463732
#452892
#452482
#449962
#449482
#449392
#426782
#424772
#397262
#394702
#393632
#391712
#389112
#389052
#377592
#376652
Q8×#1212
#361502
#361012
#358082
#357242
#356332
#355242
#347002
#346912
#344842