Finite Group Databasebeta

← #7882802

Subgroups — #7882802

Order 512.

6994 conjugacy classes of subgroups.

The subgroup lattice has 1877 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3515C211yesmaximal, characteristic, complemented
2C2×#3501C211yesmaximal, characteristic, complemented
3#59660C211yesmaximal, characteristic, complemented
4#59155C212yesmaximal, complemented
5#59079C211yesmaximal, characteristic, complemented
6#59052C211yesmaximal, characteristic, complemented
7#59002C212yesmaximal, complemented
8#48786C214yesmaximal, complemented
9#48779C214yesmaximal, complemented
10#46831C214yesmaximal, complemented
11#45332C212yesmaximal, complemented
12#45322C212yesmaximal, complemented
13#45071C212yesmaximal, complemented
14#44971C212yesmaximal, complemented
15#44921C214yesmaximal, complemented
16#42682C212yesmaximal, complemented
17#42675C212yesmaximal, complemented
18#39616C211yesmaximal, characteristic, complemented
19#39599C211yesmaximal, characteristic, complemented
20#39360C211yesmaximal, characteristic, complemented
21#38921C212yesmaximal, complemented
22#38917C212yesmaximal, complemented
23#38911C211yesmaximal, characteristic, complemented
24#37687C212yesmaximal, complemented
25#37663C212yesmaximal, complemented
26#36444C211yesmaximal, characteristic, complemented
27#36134C211yesmaximal, characteristic, complemented
28#36100C211yesmaximal, characteristic, complemented
29#35823C212yesmaximal, complemented
30#35724C212yesmaximal, complemented
31#35633C212yesmaximal, complemented
32#35523C212yesmaximal, complemented
33#34720C211yesmaximal, characteristic, complemented
34#34700C211yesmaximal, characteristic, complemented
35#34484C211yesmaximal, characteristic, complemented
36#3515—216no—
37#3501—216no—
38C2×#557C2211yescharacteristic, complemented
39C2×#554C2212yes—
40C2×#554C2211yescharacteristic
41C2×#554C2212yes—
42C2×#554C2214yes—
43C2×#554C2212yes—
44C2×#554C2211yescharacteristic
45C2×#554C2211yescharacteristic, complemented
46C2×#553C2212yes—
47C2×#552C2212yescomplemented
48C2×#552C2212yescomplemented
49C2×#552C2214yescomplemented
50C2×D4×Q8C2212yes—
51C2×D4×Q8C2211yescharacteristic
52C2×D4×Q8C2211yescharacteristic
53C2×#548C2212yescomplemented
54C2×#547C2211yescharacteristic
55C2×#547C2212yescomplemented
56C2×#544C2212yes—
57C2×#543C2214yes—
58C2×#541C2212yescomplemented
59C2×#539C2214yescomplemented
60C2×#536C2212yescomplemented
61C2×#533C2211yescharacteristic
62C2×#533C2211yescharacteristic
63C2×#533C2211yescharacteristic, complemented
64C2×#529C2212yes—
65C2×#529C2211yescharacteristic
66C22×#125C2212yescomplemented
67C2×#525C2212yes—
68C22×C22⋊Q8C2212yes—
69C22×C22⋊Q8C2212yes—
70C2×#520C2212yescomplemented
71C2×#518C2212yes—
72C2×C4×#41C2211yescharacteristic, complemented
73C22×C4×D4C2211yescharacteristic
74#2868C2211yescharacteristic, complemented
75#2857C2211yescharacteristic
76#2857C2212yescomplemented
77#2857C2211yescharacteristic, complemented
78#2848C2212yes—
79#2814C2214yescomplemented
80#2732C2214yescomplemented
81#2728C2214yes—
82#2728C2214yescomplemented
83#2726C2214yescomplemented
84#2726C2214yescomplemented
85#2725C2214yescomplemented
86#2723C2214yes—
87#2723C2214yescomplemented
88#2720C2214yes—
89#2720C2214yescomplemented
90#2720C2214yescomplemented
91#2720C2214yescomplemented
92#2713C2214yescomplemented
93#2704C2214yes—
94#2704C2214yes—
95#2704C2214yescomplemented
96#2702C2214yescomplemented
97#2698C2214yescomplemented
98#2698C2214yescomplemented
99#2690C2214yes—
100#2690C2214yescomplemented
101#2689C2214yescomplemented
102#2689C2214yescomplemented
103#2689C2214yescomplemented
104#2687C2214yescomplemented
105#2681C2214yescomplemented
106#2680C2214yescomplemented
107#2680C2214yescomplemented
108#2680C2214yescomplemented
109#2680C2214yescomplemented
110#2674C2214yescomplemented
111#2672C2214yescomplemented
112#2672C2214yescomplemented
113#2660C2212yescomplemented
114#2638C2214yescomplemented
115#2630C2214yes—
116#2629C2212yes—
117#2625C2214yescomplemented
118#2625C2212yescomplemented
119#2623C2214yescomplemented
120#2621C2212yescomplemented
121#2600C2214yes—
122#2584C2212yescomplemented
123#2582C2212yescomplemented
124#2582C2211yescharacteristic, complemented
125#2568C2211yescharacteristic, complemented
126#2567C2212yescomplemented
127#2566C2212yes—
128#2556C2214yescomplemented
129#2552C2212yescomplemented
130#2552C2212yescomplemented
131#2550C2214yescomplemented
132#2550C2212yescomplemented
133#2547C2212yescomplemented
134#2547C2211yescharacteristic, complemented
135#2546C2212yescomplemented
136#2546C2211yescharacteristic, complemented
137#2542C2211yescharacteristic
138#2542C2212yes—
139#2542C2212yescomplemented
140#2538C2212yes—
141#2537C2211yescharacteristic
142#2537C2212yes—
143#2536C2214yescomplemented
144#2534C2214yes—
145#2534C2214yes—
146#2492C2212yescomplemented
147#2489C2212yes—
148#2489C2212yescomplemented
149#2489C2212yescomplemented
150#2489C2212yescomplemented
151#2486C2214yescomplemented
152#2486C2214yescomplemented
153#2485C2214yes—
154#2482C2214yes—
155#2480C2214yes—
156#2480C2214yes—
157#2480C2212yes—
158#2477C2212yes—
159#2477C2214yescomplemented
160#2475C2212yescomplemented
161#2475C2214yescomplemented
162#2473C2214yescomplemented
163#2473C2214yescomplemented
164#2468C2214yes—
165#2468C2212yes—
166#2466C2214yes—
167#2464C2214yes—
168#2463C2212yes—
169#2461C2214yes—
170#2460C2212yescomplemented
171#2457C2212yes—
172#2455C2214yes—
173#2455C2214yes—
174#2454C2211yescharacteristic
175#2454C2212yes—
176#2453C2212yescomplemented
177#2452C2211yescharacteristic, complemented
178#2451C2212yescomplemented
179#2449C2214yes—
180#2449C2214yescomplemented
181#2449C2214yescomplemented
182#2447C2211yescharacteristic
183#2447C2212yes—
184#2446C2211yescharacteristic, complemented
185#2443C2214yescomplemented
186#2442C2211yescharacteristic
187#2442C2212yescomplemented
188#2442C2212yescomplemented
189#2442C2214yescomplemented
190#2442C2212yescomplemented
191#2441C2212yes—
192#2441C2212yescomplemented
193#2441C2212yescomplemented
194#2440C2212yescomplemented
195#2440C2212yescomplemented
196#2440C2214yescomplemented
197#2439C2211yescharacteristic, complemented
198#2435C2211yescharacteristic
199#2434C2212yescomplemented
200#2434C2212yescomplemented
201#2434C2212yescomplemented
202#2432C2211yescharacteristic, complemented
203#2432C2212yescomplemented
204#2429C2212yes—
205#2429C2212yes—
206#2429C2212yes—
207#2429C2212yescomplemented
208#2429C2212yescomplemented
209#2429C2212yescomplemented
210#2429C2212yescomplemented
211#2427C2212yes—
212#2427C2211yescharacteristic
213#2427C2211yescharacteristic
214#2427C2212yes—
215#2427C2212yescomplemented
216#2427C2212yescomplemented
217#2427C2214yescomplemented
218#2424C2214yes—
219#2423C2212yes—
220#2423C2212yescomplemented
221#2423C2214yescomplemented
222#2422C2212yes—
223#2422C2212yes—
224#2422C2212yes—
225#2421C2211yescharacteristic
226#2421C2214yescomplemented
227#2420C2211yescharacteristic
228#2420C2212yes—
229#2418C2214yes—
230#2418C2214yes—
231#2418C2212yes—
232#2417C2214yes—
233#2417C2211yescharacteristic
234#2417C2214yescomplemented
235#2417C2212yescomplemented
236#2415C2212yes—
237#2415C2211yescharacteristic
238#2415C2214yes—
239#2415C2212yes—
240#2415C2212yescomplemented
241#2415C2214yescomplemented
242#2415C2214yescomplemented
243#2415C2214yescomplemented
244#2415C2212yescomplemented
245#2411C2214yes—
246#2409C2212yescomplemented
247#2408C2212yes—
248#2408C2211yescharacteristic
249#2407C2212yes—
250#2407C2211yescharacteristic
251#2398C2212yescomplemented
252#2395C2212yes—
253#2392C2212yes—
254#2392C2214yes—
255#2392C2212yes—
256#2378C2214yescomplemented
257#2370C2212yescomplemented
258#2369C2211yescharacteristic, complemented
259#2367C2212yescomplemented
260#2365C2212yescomplemented
261#2363C2212yes—
262#2362C2212yescomplemented
263#2361C2212yes—
264#2361C2212yes—
265#2361C2212yescomplemented
266#2360C2212yescomplemented
267#2354C2211yescharacteristic
268#2354C2212yes—
269#2354C2212yes—
270#2352C2212yes—
271Q8×C4⋊C4C2212yescomplemented
272Q8×C4⋊C4C2211yescharacteristic, complemented
273D4×C4⋊C4C2212yes—
274D4×C4⋊C4C2214yescomplemented
275#2344C2212yescomplemented
276Q8×C22⋊C4C2212yescomplemented
277#2330C2212yescomplemented
278#2326C2212yes—
279#2323C2212yes—
280#2323C2212yescomplemented
281#2323C2214yescomplemented
282#2319C2212yes—
283#2317C2214yescomplemented
284#2316C2212yescomplemented
285#2310C2212yescomplemented
286C4×C4⋊Q8C2211yescharacteristic, complemented
287C4×#124C2211yescharacteristic
288C4×#124C2211yescharacteristic, complemented
289C4×C22⋊Q8C2211yescharacteristic
290C4×C22⋊Q8C2212yescomplemented
291C4×C22⋊Q8C2211yescharacteristic, complemented
292C4×#121C2211yescharacteristic
293C4×#121C2212yes—
294C4×#121C2211yescharacteristic
295C4×#120C2212yes—
296#2295C2211yescharacteristic, complemented
297#2293C2211yescharacteristic
298#2290C2212yes—
299#2280C2212yes—
300C42×D4C2211yescharacteristic
301C22×#41C2311yescharacteristic
302C22×#41C2312yes—
303C23×Q8C2312yes—
304C23×Q8C2312yes—
305C23×D4C2311yescharacteristic
306C24×C4C2312yes—
307#557—28no—
308#554—28no—
309#554—28no—
310#554—216no—
311#554—232no—
312#554—216no—
313#554—216no—
314#554D4116yescomplemented
315#553—216no—
316#552—216no—
317#552—232no—
318#552—216no—
319D4×Q8—216no—
320D4×Q8—28no—
321D4×Q8—28no—
322#548—48no—
323#547—216no—
324#547—28no—
325#544—216no—
326#543—232no—
327#541—216no—
328#539—232no—
329#536—48no—
330#533—28no—
331#533—28no—
332#533—28no—
333C2×C4⋊Q8C2312yes—
334C2×C4⋊Q8C2311yescharacteristic
335C2×C4⋊Q8C2311yescharacteristic
336C2×C4⋊Q8C2314yes—
337C2×C4⋊Q8C2311yescharacteristic
338C2×C4⋊Q8C2311yescharacteristic
339C2×C4⋊Q8C2312yes—
340C2×C4⋊Q8C2312yes—
341C2×C4⋊Q8C2312yes—
342C2×C4⋊Q8C2312yes—
343C2×C4⋊Q8C2312yes—
344C2×C4⋊Q8C2311yescharacteristic
345#529—216no—
346#529—28no—
347C2×#126C2314yes—
348C2×#126C2312yes—
349C2×#126C2314yes—
350C2×#126C2314yes—
351C2×#125—216no—
352C2×#125C2312yes—
353C2×#125C2311yescharacteristic
354C2×#125C2312yes—
355C2×#125C2314yes—
356C2×#125C2314yes—
357C2×#125C2312yes—
358C2×#125C2312yes—
359C2×#125C2314yes—
360C2×#125C2314yes—
361C2×#125C2312yes—
362C2×#125C2312yes—
363C2×#125C2314yes—
364C2×#125C2312yes—
365C2×#124C2311yescharacteristic
366C2×#124C2312yes—
367C2×#124C2311yescharacteristic
368C2×#124C2311yescharacteristic
369C2×#124C2314yes—
370#525—48no—
371C2×#123C2314yes—
372C2×#123C2314yes—
373C2×#123C2312yes—
374C2×#123C2314yes—
375C2×#123C2314yes—
376C2×#123C2314yes—
377C2×#123C2314yes—
378C2×#123C2314yes—
379C2×C22⋊Q8—216no—
380C2×C22⋊Q8—216no—
381C2×C22⋊Q8C2311yescharacteristic
382C2×C22⋊Q8C2312yes—
383C2×C22⋊Q8C2312yes—
384C2×C22⋊Q8C2314yes—
385C2×C22⋊Q8C2311yescharacteristic
386C2×C22⋊Q8C2311yescharacteristic
387C2×C22⋊Q8C2312yes—
388C2×C22⋊Q8C2314yes—
389C2×C22⋊Q8C2314yes—
390C2×C22⋊Q8C2312yes—
391C2×C22⋊Q8C2314yes—
392C2×C22⋊Q8C2312yes—
393C2×C22⋊Q8C2314yes—
394C2×C22⋊Q8C2312yes—
395C2×C22⋊Q8C2314yes—
396C2×C22⋊Q8C2311yescharacteristic
397C2×C22⋊Q8C2314yes—
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2312yes—
400C2×C22⋊Q8C2312yes—
401C2×C22⋊Q8C2312yes—
402C2×C22⋊Q8C2314yes—
403C2×C22⋊Q8C2314yes—
404C2×C22⋊Q8C2314yes—
405C2×C22⋊Q8C2314yes—
406C2×C22⋊Q8C2314yes—
407C2×C22⋊Q8C2312yes—
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2312yes—
410C2×C22⋊Q8C2314yes—
411C2×C22⋊Q8C2311yescharacteristic
412C2×C22⋊Q8C2312yes—
413C2×C22⋊Q8C2314yes—
414C2×C22⋊Q8C2312yes—
415C2×C22⋊Q8C2314yes—
416C2×C22⋊Q8C2312yes—
417C2×C22⋊Q8C2314yes—
418C2×#121C2312yes—
419C2×#121C2312yes—
420C2×#121C2311yescharacteristic
421C2×#121C2311yescharacteristic
422C2×#121C2311yescharacteristic
423C2×#121C2312yes—
424C2×#121C2314yes—
425C2×#121C2314yes—
426C2×#120C2312yes—
427C2×#120C2314yes—
428#520—216no—
429#518—216no—
430C4×#41—28no—
431C2×C4×Q8C2312yes—
432C2×C4×Q8C2311yescharacteristic
433C2×C4×Q8C2312yes—
434C2×C4×Q8C2311yescharacteristic
435C2×C4×Q8C2311yescharacteristic
436C2×C4×Q8C2312yes—
437C2×C4×Q8C2312yes—
438C2×C4×Q8C2312yes—
439C2×C4×Q8C2312yes—
440C2×C4×Q8C2312yes—
441C2×C4×Q8C2312yes—
442C2×C4×Q8C2312yes—
443C2×C4×Q8C2311yescharacteristic
444C2×C4×D4—28no—
445C2×C4×D4C2312yes—
446C2×C4×D4C2314yes—
447C2×C4×D4C2314yes—
448C2×C4×D4C2312yes—
449C2×C4×D4C2311yescharacteristic
450C2×C4×D4C2311yescharacteristic
451C2×C4×D4C2312yes—
452C2×C4×D4C2312yes—
453C2×C4×D4C2314yes—
454C2×C4×D4C2312yes—
455C2×C4×D4C2312yes—
456C2×C4×D4C2312yes—
457C2×C4×D4C2311yescharacteristic
458C2×C4×D4C2311yescharacteristic
459C2×C4×D4C2312yes—
460C2×C4×D4C2311yescharacteristic
461C2×C4×D4C2312yes—
462C2×C4×D4C2311yescharacteristic
463C2×C4×D4C2312yes—
464C2×C4×D4C2314yes—
465C2×C4×D4C2314yes—
466C2×C4×D4C2314yes—
467C2×C4×D4C2314yes—
468C2×C4×D4C2314yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2311yescharacteristic
471C2×C4×D4C2311yescharacteristic
472C2×C4×D4C2312yes—
473C2×C4×D4C2311yescharacteristic
474C2×#117C2312yes—
475C2×#117C2314yes—
476C2×#117C2312yes—
477C2×#117C2312yes—
478C2×#117C2312yes—
479C2×#117C2311yescharacteristic
480C2×#117C2312yes—
481C2×#117C2314yes—
482C2×#117C2312yes—
483C2×#117C2312yes—
484C2×#117C2314yes—
485C22×C4⋊C4C2314yes—
486C22×C4⋊C4C2311yescharacteristic
487C22×C4⋊C4C2312yes—
488C22×C4⋊C4C2314yes—
489C22×C4⋊C4C2314yes—
490C22×C4⋊C4C2312yes—
491C22×C4⋊C4C2312yes—
492C22×C4⋊C4C2314yes—
493C22×C4⋊C4C2312yes—
494C22×C22⋊C4C2312yes—
495C22×C22⋊C4C2314yes—
496C22×C22⋊C4C2314yes—
497C22×C42C2311yescharacteristic
498C22×C42C2312yes—
499C22×C42C2311yescharacteristic
500#400C2314yes—
501#400C2314yes—
502#400C2314yes—
503#400C2314yes—
504#400C2314yes—
505#400C2314yes—
506#400C2312yes—
507#400C2312yes—
508#400C2312yes—
509#399C2314yes—
510#399C2314yes—
511#399C2312yes—
512#399C2314yes—
513#399C2314yes—
514#399C2314yes—
515#398C2314yes—
516#398C2314yes—
517#398C2314yes—
518#398C2314yes—
519#398C2314yes—
520#398C2314yes—
521#398C2314yes—
522#398C2314yes—
523#398C2314yes—
524#398C2314yes—
525#398C2314yes—
526#398C2314yes—
527#398C2312yes—
528#398C2312yes—
529#398C2312yes—
530#398C2314yes—
531#398C2314yes—
532#398C2314yes—
533#398C2314yes—
534#398C2314yes—
535#398C2314yes—
536#397C2314yes—
537#397C2314yes—
538#397C2314yes—
539#397C2312yes—
540#397C2314yes—
541#397C2312yes—
542#397C2314yes—
543#397C2314yes—
544#397C2314yes—
545#397C2312yes—
546#397C2314yes—
547#397C2312yes—
548#397C2312yes—
549#397C2312yes—
550#397C2312yes—
551#397C2314yes—
552#397C2314yes—
553#397C2314yes—
554#397C2314yes—
555#397C2314yes—
556#396C2314yes—
557#396C2314yes—
558#396C2314yes—
559#396C2314yes—
560#396C2312yes—
561#396C2312yes—
562#396C2312yes—
563#396C2312yes—
564#396C2314yes—
565#396C2314yes—
566#396C2314yes—
567#396C2314yes—
568#395C2314yes—
569#395C2314yes—
570#395C2314yes—
571#395C2314yes—
572#395C2314yes—
573#395C2314yes—
574#395C2314yes—
575#395C2314yes—
576#394C2312yes—
577#394C2314yes—
578#394C2314yes—
579#394C2314yes—
580#394C2314yes—
581#394C2314yes—
582#394C2312yes—
583#394C2312yes—
584#394C2312yes—
585#394C2314yes—
586#394C2314yes—
587#394C2312yes—
588#394C2312yes—
589#394C2312yes—
590#394C2312yes—
591#394C2312yes—
592#394C2312yes—
593#394C2314yes—
594#394C2314yes—
595#394C2314yes—
596#393C2312yes—
597#393C2312yes—
598#393C2314yes—
599#392C2314yes—
600#392C2312yes—
601#392C2312yes—
602#391C2312yes—
603#391C2311yescharacteristic
604#391C2312yes—
605#391C2312yes—
606#391C2312yes—
607#391C2314yes—
608#391C2314yes—
609#391C2311yescharacteristic
610#391C2312yes—
611#391C2312yes—
612#391C2312yes—
613#391C2311yescharacteristic
614#391C2314yes—
615#391C2311yescharacteristic
616#391C2314yes—
617#391C2314yes—
618#391C2312yes—
619#391C2314yes—
620#391C2312yes—
621#391C2312yes—
622#391C2311yescharacteristic
623#391C2312yes—
624#391C2311yescharacteristic
625#390C2311yescharacteristic
626#390C2312yes—
627#390C2311yescharacteristic
628#390C2312yes—
629#390C2311yescharacteristic
630#390C2314yes—
631#390C2311yescharacteristic
632#390C2314yes—
633#390C2311yescharacteristic
634#390C2311yescharacteristic
635#389C2312yes—
636#389C2312yes—
637#389C2314yes—
638#389C2314yes—
639#389C2311yescharacteristic
640#389C2314yes—
641#389C2312yes—
642#389C2312yes—
643#389C2314yes—
644#389C2312yes—
645#389C2314yes—
646#389C2314yes—
647#389C2312yes—
648#389C2312yes—
649#389C2314yes—
650#389C2314yes—
651#389C2314yes—
652#389C2312yes—
653#389C2312yes—
654#389C2312yes—
655#389C2312yes—
656#389C2311yescharacteristic
657#389C2314yes—
658#389C2314yes—
659#389C2311yescharacteristic
660#389C2311yescharacteristic
661#389C2312yes—
662#389C2312yes—
663#389C2311yescharacteristic
664#389C2312yes—
665#389C2314yes—
666#389C2314yes—
667#389C2314yes—
668#389C2314yes—
669#389C2311yescharacteristic
670#389C2314yes—
671#389C2314yes—
672#389C2311yescharacteristic
673#389C2311yescharacteristic
674#389C2314yes—
675#389C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2312yes—
681#388C2314yes—
682#388C2314yes—
683#388C2314yes—
684#388C2314yes—
685#388C2314yes—
686#388C2314yes—
687#388C2314yes—
688#388C2314yes—
689#388C2314yes—
690#388C2314yes—
691#388C2314yes—
692#388C2314yes—
693#388C2314yes—
694#388C2314yes—
695#388C2312yes—
696#388C2312yes—
697#388C2312yes—
698#388C2314yes—
699#388C2314yes—
700#388C2312yes—
701#388C2312yes—
702#388C2312yes—
703#388C2312yes—
704#388C2312yes—
705#388C2312yes—
706#387C2314yes—
707#387C2312yes—
708#387C2314yes—
709#387C2314yes—
710#387C2314yes—
711#387C2314yes—
712#387C2314yes—
713#387C2314yes—
714#387C2314yes—
715#387C2314yes—
716#387C2312yes—
717#387C2312yes—
718#387C2312yes—
719#387C2312yes—
720#387C2312yes—
721#387C2312yes—
722#387C2312yes—
723#386C2314yes—
724#386C2314yes—
725#386C2314yes—
726#386C2314yes—
727#386C2314yes—
728#386C2314yes—
729#386C2312yes—
730#386C2314yes—
731#386C2312yes—
732#386C2312yes—
733#386C2312yes—
734#386C2312yes—
735#386C2312yes—
736#386C2312yes—
737#385C2314yes—
738#385C2314yes—
739#385C2312yes—
740#385C2314yes—
741#385C2314yes—
742#385C2314yes—
743#385C2314yes—
744#385C2314yes—
745#385C2314yes—
746#385C2314yes—
747#385C2312yes—
748#385C2314yes—
749#385C2314yes—
750#385C2312yes—
751#385C2312yes—
752#385C2314yes—
753#385C2314yes—
754#385C2314yes—
755#385C2314yes—
756#385C2314yes—
757#385C2312yes—
758#385C2312yes—
759#385C2314yes—
760#385C2312yes—
761#385C2312yes—
762#385C2312yes—
763#384C2311yescharacteristic
764#384C2312yes—
765#384C2312yes—
766#384C2314yes—
767#384C2314yes—
768#384C2312yes—
769#384C2312yes—
770#384C2312yes—
771#384C2312yes—
772#382C2312yes—
773#382C2314yes—
774#382C2314yes—
775#382C2311yescharacteristic
776#382C2311yescharacteristic
777#381C2314yes—
778#381C2314yes—
779#381C2314yes—
780#381C2312yes—
781#381C2312yes—
782#380C2314yes—
783#380C2314yes—
784#380C2312yes—
785#380C2312yes—
786#380C2311yescharacteristic
787#380C2312yes—
788#380C2314yes—
789#380C2312yes—
790#380C2312yes—
791#380C2312yes—
792#380C2312yes—
793#380C2314yes—
794#380C2312yes—
795#380C2314yes—
796#380C2314yes—
797#380C2311yescharacteristic
798#380C2311yescharacteristic
799#380C2312yes—
800#380C2312yes—
801#380C2312yes—
802#380C2314yes—
803#380C2312yes—
804#380C2311yescharacteristic
805#380C2312yes—
806#380C2312yes—
807#380C2314yes—
808#379C2314yes—
809#379C2312yes—
810#379C2312yes—
811#379C2312yes—
812C4×C4⋊C4C2312yes—
813C4×C4⋊C4C2312yes—
814C4×C4⋊C4C2312yes—
815C4×C4⋊C4C2311yescharacteristic
816C4×C4⋊C4C2312yes—
817C4×C4⋊C4C2312yes—
818C4×C4⋊C4C2314yes—
819C4×C4⋊C4C2312yes—
820C4×C4⋊C4C2312yes—
821C4×C4⋊C4C2311yescharacteristic
822C4×C4⋊C4C2314yes—
823C4×C4⋊C4C2311yescharacteristic
824C4×C4⋊C4C2311yescharacteristic
825C4×C4⋊C4C2312yes—
826C4×C4⋊C4C2311yescharacteristic
827C4×C4⋊C4C2312yes—
828C4×C22⋊C4C2312yes—
829C4×C22⋊C4C2314yes—
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2314yes—
832C4×C22⋊C4C2314yes—
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2311yescharacteristic
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2311yescharacteristic
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2311yescharacteristic
842C4×C22⋊C4C2311yescharacteristic
843C4×C22⋊C4C2311yescharacteristic
844C4×C22⋊C4C2312yes—
845C4×C22⋊C4C2311yescharacteristic
846#376C2312yes—
847C43C2311yescharacteristic
848C25C2412yes—
849C2×#41—24no—
850C2×#41—28no—
851C2×#41—24no—
852C2×#41—28no—
853C2×#41—44no—
854C2×#41—42no—
855C22×Q8—28no—
856C22×Q8—28no—
857C22×Q8—44no—
858C22×Q8—44no—
859C22×Q8—44no—
860C22×Q8—44no—
861C22×Q8C2411yescharacteristic
862C22×Q8C2412yes—
863C22×Q8C2412yes—
864C22×Q8C2411yescharacteristic
865C22×Q8C2411yescharacteristic
866C22×Q8C2412yes—
867C22×Q8C2414yes—
868C22×Q8C2414yes—
869C22×Q8C2412yes—
870C22×D4—24no—
871C22×D4—24no—
872C22×D4—24no—
873C22×D4C2412yes—
874C22×D4C2412yes—
875C22×D4C2411yescharacteristic
876C22×D4C2414yes—
877C22×D4C2414yes—
878C22×D4C2412yes—
879C22×D4C2411yescharacteristic
880C22×D4C2411yescharacteristic
881C22×D4C2411yescharacteristic
882C22×D4C2412yes—
883C22×D4C2412yes—
884C23×C4—28no—
885C23×C4—44no—
886C23×C4—44no—
887C23×C4C2412yes—
888C23×C4C2412yes—
889C23×C4C2411yescharacteristic
890C23×C4C2411yescharacteristic
891C23×C4C2411yescharacteristic
892C23×C4C2414yes—
893C23×C4C2412yes—
894C23×C4C2412yes—
895C23×C4C2411yescharacteristic
896C23×C4C2411yescharacteristic
897C23×C4C2414yes—
898C23×C4C2414yes—
899C23×C4C2412yes—
900C23×C4C2414yes—
901C23×C4C2414yes—
902C23×C4C2412yes—
903C23×C4C2412yes—
904C23×C4C2412yes—
905C23×C4C2411yescharacteristic
906C23×C4C2414yes—
907C4⋊Q8—24no—
908C4⋊Q8—28no—
909C4⋊Q8—24no—
910C4⋊Q8—216no—
911C4⋊Q8—28no—
912C4⋊Q8—24no—
913C4⋊Q8—24no—
914C4⋊Q8—28no—
915C4⋊Q8—44no—
916C4⋊Q8—44no—
917C4⋊Q8—44no—
918C4⋊Q8C2×D418yes—
919#126—216no—
920#126—216no—
921#126—28no—
922#126—216no—
923#125—24no—
924#125—28no—
925#125—216no—
926#125—216no—
927#125—28no—
928#125—28no—
929#125—216no—
930#125—216no—
931#125—28no—
932#125—28no—
933#125—216no—
934#125—28no—
935#125C2×D4116yes—
936#124—24no—
937#124—24no—
938#124—28no—
939#124—24no—
940#124—48no—
941#123—216no—
942#123—216no—
943#123—28no—
944#123—216no—
945#123—216no—
946#123—48no—
947#123—48no—
948#123—48no—
949C22⋊Q8—24no—
950C22⋊Q8—28no—
951C22⋊Q8—28no—
952C22⋊Q8—216no—
953C22⋊Q8—216no—
954C22⋊Q8—28no—
955C22⋊Q8—28no—
956C22⋊Q8—216no—
957C22⋊Q8—24no—
958C22⋊Q8—28no—
959C22⋊Q8—24no—
960C22⋊Q8—216no—
961C22⋊Q8—216no—
962C22⋊Q8—28no—
963C22⋊Q8—28no—
964C22⋊Q8—216no—
965C22⋊Q8—24no—
966C22⋊Q8—28no—
967C22⋊Q8—28no—
968C22⋊Q8—28no—
969C22⋊Q8—216no—
970C22⋊Q8—216no—
971C22⋊Q8—216no—
972C22⋊Q8—216no—
973C22⋊Q8—216no—
974C22⋊Q8—216no—
975C22⋊Q8—48no—
976C22⋊Q8—48no—
977C22⋊Q8—48no—
978C22⋊Q8—44no—
979C22⋊Q8—42no—
980C22⋊Q8—44no—
981C22⋊Q8—44no—
982C22⋊Q8—44no—
983C22⋊Q8—44no—
984C22⋊Q8C2×D4116yes—
985C22⋊Q8C2×D4132yes—
986#121—28no—
987#121—24no—
988#121—24no—
989#121—28no—
990#121—28no—
991#121—24no—
992#121—216no—
993#121—48no—
994#120—44no—
995#120—48no—
996C4×Q8—24no—
997C4×Q8—28no—
998C4×Q8—28no—
999C4×Q8—28no—
1000C4×Q8—28no—
1001C4×Q8—28no—
1002C4×Q8—28no—
1003C4×Q8—24no—
1004C4×Q8—24no—
1005C4×Q8—28no—
1006C4×Q8—44no—
1007C4×Q8—44no—
1008C4×Q8C2×D418yes—
1009C4×D4—24no—
1010C4×D4—28no—
1011C4×D4—28no—
1012C4×D4—216no—
1013C4×D4—216no—
1014C4×D4—216no—
1015C4×D4—28no—
1016C4×D4—28no—
1017C4×D4—24no—
1018C4×D4—24no—
1019C4×D4—24no—
1020C4×D4—28no—
1021C4×D4—28no—
1022C4×D4—28no—
1023C4×D4—28no—
1024C4×D4—216no—
1025C4×D4—24no—
1026C4×D4—24no—
1027C4×D4—28no—
1028C4×D4—28no—
1029C4×D4—48no—
1030C4×D4—42no—
1031C4×D4—42no—
1032C4×D4—44no—
1033C4×D4—48no—
1034C4×D4—48no—
1035C4×D4—48no—
1036C4×D4C2×D418yes—
1037C4×D4C2×D4116yes—
1038#117—28no—
1039#117—216no—
1040#117—24no—
1041#117—28no—
1042#117—28no—
1043#117—216no—
1044#117—28no—
1045#117—28no—
1046#117—44no—
1047#117—48no—
1048#117—44no—
1049C2×C4⋊C4—216no—
1050C2×C4⋊C4—24no—
1051C2×C4⋊C4—216no—
1052C2×C4⋊C4—216no—
1053C2×C4⋊C4—28no—
1054C2×C4⋊C4—216no—
1055C2×C4⋊C4—28no—
1056C2×C4⋊C4—28no—
1057C2×C4⋊C4C2×D4116yes—
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2411yescharacteristic
1061C2×C4⋊C4C2414yes—
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2411yescharacteristic
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2414yes—
1067C2×C4⋊C4C2411yescharacteristic
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2414yes—
1070C2×C4⋊C4C2414yes—
1071C2×C4⋊C4C2414yes—
1072C2×C4⋊C4C2414yes—
1073C2×C4⋊C4C2414yes—
1074C2×C4⋊C4C2414yes—
1075C2×C4⋊C4C2414yes—
1076C2×C4⋊C4C2414yes—
1077C2×C4⋊C4C2414yes—
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2411yescharacteristic
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2411yescharacteristic
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2414yes—
1088C2×C4⋊C4C2411yescharacteristic
1089C2×C4⋊C4C2411yescharacteristic
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2414yes—
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2412yes—
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2414yes—
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2411yescharacteristic
1100C2×C4⋊C4C2411yescharacteristic
1101C2×C4⋊C4C2411yescharacteristic
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2414yes—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2414yes—
1108C2×C4⋊C4C2414yes—
1109C2×C4⋊C4C2414yes—
1110C2×C4⋊C4C2411yescharacteristic
1111C2×C4⋊C4C2414yes—
1112C2×C4⋊C4C2414yes—
1113C2×C4⋊C4C2414yes—
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2414yes—
1116C2×C4⋊C4C2414yes—
1117C2×C4⋊C4C2414yes—
1118C2×C4⋊C4C2414yes—
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2414yes—
1122C2×C4⋊C4C2414yes—
1123C2×C4⋊C4C2414yes—
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2414yes—
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2411yescharacteristic
1128C2×C4⋊C4C2411yescharacteristic
1129C2×C4⋊C4C2414yes—
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2414yes—
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2412yes—
1134C2×C22⋊C4—216no—
1135C2×C22⋊C4—28no—
1136C2×C22⋊C4—216no—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2412yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2411yescharacteristic
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2411yescharacteristic
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2414yes—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2414yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2414yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2414yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2411yescharacteristic
1183C2×C22⋊C4C2411yescharacteristic
1184C2×C22⋊C4C2411yescharacteristic
1185C2×C22⋊C4C2411yescharacteristic
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2414yes—
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⋊C4C2414yes—
1197C2×C22⋊C4C2412yes—
1198C2×C42—24no—
1199C2×C42—28no—
1200C2×C42—24no—
1201C2×C42C2412yes—
1202C2×C42C2411yescharacteristic
1203C2×C42C2414yes—
1204C2×C42C2414yes—
1205C2×C42C2411yescharacteristic
1206C2×C42C2411yescharacteristic
1207C2×C42C2412yes—
1208C2×C42C2412yes—
1209C2×C42C2414yes—
1210C2×C42C2412yes—
1211C2×C42C2414yes—
1212C2×C42C2411yescharacteristic
1213C2×C42C2411yescharacteristic
1214C2×C42C2411yescharacteristic
1215C2×C42C2411yescharacteristic
1216C2×C42C2412yes—
1217C2×C42C2411yescharacteristic
1218C2×C42C2411yescharacteristic
1219C2×C42C2412yes—
1220C2×C42C2411yescharacteristic
1221C2×C42C2411yescharacteristic
1222C2×C42C2414yes—
1223C2×C42C2414yes—
1224C2×C42C2414yes—
1225C2×C42C2411yescharacteristic
1226C2×C42C2412yes—
1227C2×C42C2411yescharacteristic
1228#95C2412yes—
1229#95C2412yes—
1230#95C2412yes—
1231#95C2412yes—
1232#95C2412yes—
1233#95C2411yescharacteristic
1234#95C2411yescharacteristic
1235#95C2412yes—
1236#95C2411yescharacteristic
1237#95C2411yescharacteristic
1238#95C2411yescharacteristic
1239#95C2411yescharacteristic
1240#95C2412yes—
1241#95C2412yes—
1242#95C2412yes—
1243#95C2412yes—
1244#95C2414yes—
1245#95C2412yes—
1246#95C2412yes—
1247#95C2412yes—
1248#95C2412yes—
1249#95C2412yes—
1250#95C2414yes—
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#95C2414yes—
1264#95C2412yes—
1265#95C2414yes—
1266#95C2414yes—
1267#95C2414yes—
1268#95C2414yes—
1269#95C2414yes—
1270#95C2414yes—
1271#95C2414yes—
1272#95C2412yes—
1273#95C2412yes—
1274#95C2412yes—
1275#95C2412yes—
1276#95C2414yes—
1277#95C2414yes—
1278#95C2414yes—
1279#95C2414yes—
1280#95C2414yes—
1281#95C2414yes—
1282#95C2414yes—
1283#95C2414yes—
1284#95C2414yes—
1285#95C2414yes—
1286C24—24no—
1287C24—24no—
1288C24—24no—
1289C24—42no—
1290C24—42no—
1291C24—42no—
1292C24—42no—
1293C24C2511yescharacteristic
1294C24C2512yes—
1295C24C2512yes—
1296C24C2511yescharacteristic
1297C24C2512yes—
1298#41—432no—
1299#41—416no—
1300C2×Q8—22no—
1301C2×Q8—24no—
1302C2×Q8—24no—
1303C2×Q8—22no—
1304C2×Q8—24no—
1305C2×Q8—28no—
1306C2×Q8—28no—
1307C2×Q8—22no—
1308C2×Q8—24no—
1309C2×Q8—24no—
1310C2×Q8—22no—
1311C2×Q8—22no—
1312C2×Q8—22no—
1313C2×Q8—22no—
1314C2×Q8—24no—
1315C2×Q8—22no—
1316C2×Q8—24no—
1317C2×Q8—42no—
1318C2×Q8—42no—
1319C2×Q8—44no—
1320C2×Q8—44no—
1321C2×Q8—42no—
1322C2×Q8—44no—
1323C2×Q8—44no—
1324C2×Q8—42no—
1325C2×Q8—816no—
1326C2×Q8—816no—
1327C2×Q8C22×D414yes—
1328C2×Q8C22×D418yes—
1329C2×D4—232no—
1330C2×D4—24no—
1331C2×D4—24no—
1332C2×D4—28no—
1333C2×D4—24no—
1334C2×D4—28no—
1335C2×D4—28no—
1336C2×D4—24no—
1337C2×D4—22no—
1338C2×D4—24no—
1339C2×D4—28no—
1340C2×D4—24no—
1341C2×D4—24no—
1342C2×D4—22no—
1343C2×D4—22no—
1344C2×D4—24no—
1345C2×D4—24no—
1346C2×D4—22no—
1347C2×D4—22no—
1348C2×D4—22no—
1349C2×D4—22no—
1350C2×D4—22no—
1351C2×D4—41no—
1352C2×D4—44no—
1353C2×D4—42no—
1354C2×D4—42no—
1355C2×D4—44no—
1356C2×D4—42no—
1357C2×D4—42no—
1358C2×D4—42no—
1359C2×D4—42no—
1360C2×D4C22×D414yes—
1361C2×D4H(5,𝔽2)14yes—
1362C2×D42−1+414yes—
1363C22×C4—22no—
1364C22×C4—24no—
1365C22×C4—22no—
1366C22×C4—24no—
1367C22×C4—28no—
1368C22×C4—24no—
1369C22×C4—28no—
1370C22×C4—24no—
1371C22×C4—24no—
1372C22×C4—24no—
1373C22×C4—22no—
1374C22×C4—22no—
1375C22×C4—22no—
1376C22×C4—28no—
1377C22×C4—24no—
1378C22×C4—22no—
1379C22×C4—24no—
1380C22×C4—22no—
1381C22×C4—24no—
1382C22×C4—22no—
1383C22×C4—24no—
1384C22×C4—22no—
1385C22×C4—22no—
1386C22×C4—22no—
1387C22×C4—24no—
1388C22×C4—22no—
1389C22×C4—24no—
1390C22×C4—22no—
1391C22×C4—28no—
1392C22×C4—28no—
1393C22×C4—24no—
1394C22×C4—28no—
1395C22×C4—24no—
1396C22×C4—44no—
1397C22×C4—44no—
1398C22×C4—44no—
1399C22×C4—42no—
1400C22×C4—42no—
1401C22×C4—42no—
1402C22×C4—44no—
1403C22×C4—44no—
1404C22×C4—44no—
1405C22×C4—41no—
1406C22×C4—41no—
1407C22×C4—42no—
1408C22×C4—42no—
1409C22×C4—44no—
1410C22×C4—42no—
1411C22×C4—42no—
1412C22×C4—42no—
1413C22×C4—41no—
1414C22×C4—41no—
1415C22×C4—42no—
1416C22×C4—44no—
1417C22×C4—44no—
1418C22×C4—44no—
1419C22×C4—44no—
1420C22×C4—816no—
1421C22×C4C22×D418yes—
1422C22×C4C22×D4116yes—
1423C22×C42−1+414yes—
1424C22×C4C2511yescharacteristic
1425C22×C4C2512yes—
1426C22×C4C2512yes—
1427C22×C4C2511yescharacteristic
1428C22×C4C2512yes—
1429C22×C4C2511yescharacteristic
1430C22×C4C2512yes—
1431C22×C4C2512yes—
1432C22×C4C2514yes—
1433C22×C4C2512yes—
1434C22×C4C2511yescharacteristic
1435C22×C4C2511yescharacteristic
1436C22×C4C2511yescharacteristic
1437C22×C4C2512yes—
1438C22×C4C2512yes—
1439C22×C4C2511yescharacteristic
1440C22×C4C2514yes—
1441C22×C4C2512yes—
1442C22×C4C2512yes—
1443C22×C4C2511yescharacteristic
1444C22×C4C2514yes—
1445C22×C4C2511yescharacteristic
1446C22×C4C2514yes—
1447C22×C4C2512yes—
1448C22×C4C2512yes—
1449C22×C4C2512yes—
1450C22×C4C2511yescharacteristic
1451C22×C4C2511yescharacteristic
1452C22×C4C2511yescharacteristic
1453C22×C4C2511yescharacteristic
1454C4⋊C4—24no—
1455C4⋊C4—24no—
1456C4⋊C4—22no—
1457C4⋊C4—24no—
1458C4⋊C4—24no—
1459C4⋊C4—28no—
1460C4⋊C4—22no—
1461C4⋊C4—24no—
1462C4⋊C4—28no—
1463C4⋊C4—24no—
1464C4⋊C4—22no—
1465C4⋊C4—28no—
1466C4⋊C4—28no—
1467C4⋊C4—28no—
1468C4⋊C4—28no—
1469C4⋊C4—28no—
1470C4⋊C4—28no—
1471C4⋊C4—28no—
1472C4⋊C4—28no—
1473C4⋊C4—28no—
1474C4⋊C4—24no—
1475C4⋊C4—24no—
1476C4⋊C4—24no—
1477C4⋊C4—24no—
1478C4⋊C4—22no—
1479C4⋊C4—24no—
1480C4⋊C4—28no—
1481C4⋊C4—28no—
1482C4⋊C4—24no—
1483C4⋊C4—24no—
1484C4⋊C4—24no—
1485C4⋊C4—24no—
1486C4⋊C4—24no—
1487C4⋊C4—28no—
1488C4⋊C4—22no—
1489C4⋊C4—24no—
1490C4⋊C4—22no—
1491C4⋊C4—24no—
1492C4⋊C4—24no—
1493C4⋊C4—22no—
1494C4⋊C4—22no—
1495C4⋊C4—24no—
1496C4⋊C4—24no—
1497C4⋊C4—22no—
1498C4⋊C4—22no—
1499C4⋊C4—42no—
1500C4⋊C4—44no—
1501C4⋊C4—42no—
1502C4⋊C4—44no—
1503C4⋊C4—42no—
1504C4⋊C4—42no—
1505C4⋊C4—41no—
1506C4⋊C4—44no—
1507C4⋊C4—42no—
1508C4⋊C4—44no—
1509C4⋊C4—44no—
1510C4⋊C4—44no—
1511C4⋊C4—44no—
1512C4⋊C4—42no—
1513C4⋊C4—44no—
1514C4⋊C4—42no—
1515C4⋊C4—42no—
1516C4⋊C4—44no—
1517C4⋊C4—44no—
1518C4⋊C4—44no—
1519C4⋊C4—44no—
1520C4⋊C4—44no—
1521C4⋊C4—44no—
1522C4⋊C4—44no—
1523C4⋊C4C22×D414yes—
1524C4⋊C4C22×D4116yes—
1525C4⋊C4C22×D4116yes—
1526C4⋊C4C22×D418yes—
1527C4⋊C4C22×D418yes—
1528C4⋊C4C22×D414yes—
1529C4⋊C4C22×D418yes—
1530C22⋊C4—24no—
1531C22⋊C4—28no—
1532C22⋊C4—24no—
1533C22⋊C4—24no—
1534C22⋊C4—24no—
1535C22⋊C4—28no—
1536C22⋊C4—24no—
1537C22⋊C4—28no—
1538C22⋊C4—28no—
1539C22⋊C4—28no—
1540C22⋊C4—24no—
1541C22⋊C4—24no—
1542C22⋊C4—22no—
1543C22⋊C4—24no—
1544C22⋊C4—24no—
1545C22⋊C4—28no—
1546C22⋊C4—24no—
1547C22⋊C4—24no—
1548C22⋊C4—24no—
1549C22⋊C4—24no—
1550C22⋊C4—24no—
1551C22⋊C4—28no—
1552C22⋊C4—24no—
1553C22⋊C4—28no—
1554C22⋊C4—28no—
1555C22⋊C4—24no—
1556C22⋊C4—24no—
1557C22⋊C4—28no—
1558C22⋊C4—24no—
1559C22⋊C4—24no—
1560C22⋊C4—28no—
1561C22⋊C4—24no—
1562C22⋊C4—24no—
1563C22⋊C4—22no—
1564C22⋊C4—24no—
1565C22⋊C4—24no—
1566C22⋊C4—24no—
1567C22⋊C4—42no—
1568C22⋊C4—42no—
1569C22⋊C4—42no—
1570C22⋊C4—42no—
1571C22⋊C4—42no—
1572C22⋊C4—44no—
1573C22⋊C4—44no—
1574C22⋊C4—42no—
1575C22⋊C4—42no—
1576C22⋊C4—41no—
1577C22⋊C4—41no—
1578C22⋊C4—41no—
1579C22⋊C4—41no—
1580C22⋊C4—42no—
1581C22⋊C4—44no—
1582C22⋊C4—44no—
1583C22⋊C4—42no—
1584C22⋊C4—42no—
1585C22⋊C4—44no—
1586C22⋊C4—42no—
1587C22⋊C4—44no—
1588C22⋊C4—42no—
1589C22⋊C4C22×D4116yes—
1590C22⋊C4C22×D418yes—
1591C42—22no—
1592C42—24no—
1593C42—22no—
1594C42—22no—
1595C42—22no—
1596C42—22no—
1597C42—22no—
1598C42—24no—
1599C42—28no—
1600C42—28no—
1601C42—28no—
1602C42—24no—
1603C42—24no—
1604C42—22no—
1605C42—24no—
1606C42—22no—
1607C42—24no—
1608C42—22no—
1609C42—28no—
1610C42—22no—
1611C42—22no—
1612C42—41no—
1613C42—44no—
1614C42—44no—
1615C42—44no—
1616C42C22×D414yes—
1617C42C22×D418yes—
1618C23—216no—
1619C23—21no—
1620C23—22no—
1621C23—22no—
1622C23—22no—
1623C23—21no—
1624C23—22no—
1625C23—22no—
1626C23—22no—
1627C23—21no—
1628C23—22no—
1629C23—22no—
1630C23—22no—
1631C23—22no—
1632C23—22no—
1633C23—22no—
1634C23—21no—
1635C23—22no—
1636C23—21no—
1637C23—22no—
1638C23—22no—
1639C23—22no—
1640C23—22no—
1641C23—22no—
1642C23—21no—
1643C23—21no—
1644C23—21no—
1645C23—21no—
1646C23—21no—
1647C23—21no—
1648C23—21no—
1649C23—21no—
1650C23—84no—
1651C23—84no—
1652C23—84no—
1653C23—84no—
1654C23—84no—
1655C23—84no—
1656C23C23×D414yes—
1657C23C2×H(5,𝔽2)14yes—
1658C23C2×2−1+412yes—
1659C23C2×2−1+414yes—
1660C23C2611yescharacteristic
1661Q8—28no—
1662Q8—48no—
1663Q8—44no—
1664Q8—48no—
1665Q8—44no—
1666Q8—48no—
1667Q8—84no—
1668Q8—88no—
1669Q8—88no—
1670D4—216no—
1671D4—28no—
1672D4—28no—
1673D4—28no—
1674D4—44no—
1675D4—48no—
1676D4—416no—
1677D4—48no—
1678D4—416no—
1679D4—84no—
1680D4—84no—
1681C2×C4—21no—
1682C2×C4—22no—
1683C2×C4—22no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—24no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—22no—
1692C2×C4—21no—
1693C2×C4—22no—
1694C2×C4—24no—
1695C2×C4—28no—
1696C2×C4—216no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—21no—
1703C2×C4—24no—
1704C2×C4—21no—
1705C2×C4—22no—
1706C2×C4—24no—
1707C2×C4—22no—
1708C2×C4—22no—
1709C2×C4—22no—
1710C2×C4—22no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—24no—
1716C2×C4—22no—
1717C2×C4—24no—
1718C2×C4—21no—
1719C2×C4—22no—
1720C2×C4—21no—
1721C2×C4—24no—
1722C2×C4—21no—
1723C2×C4—22no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—22no—
1727C2×C4—21no—
1728C2×C4—22no—
1729C2×C4—22no—
1730C2×C4—22no—
1731C2×C4—21no—
1732C2×C4—22no—
1733C2×C4—24no—
1734C2×C4—22no—
1735C2×C4—22no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—24no—
1739C2×C4—22no—
1740C2×C4—22no—
1741C2×C4—22no—
1742C2×C4—22no—
1743C2×C4—22no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—24no—
1748C2×C4—21no—
1749C2×C4—22no—
1750C2×C4—22no—
1751C2×C4—24no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—22no—
1755C2×C4—21no—
1756C2×C4—22no—
1757C2×C4—22no—
1758C2×C4—22no—
1759C2×C4—21no—
1760C2×C4—416no—
1761C2×C4—416no—
1762C2×C4—48no—
1763C2×C4—48no—
1764C2×C4—44no—
1765C2×C4—44no—
1766C2×C4—48no—
1767C2×C4—44no—
1768C2×C4—84no—
1769C2×C4—88no—
1770C2×C4—88no—
1771C2×C4—82no—
1772C2×C4—82no—
1773C2×C4—84no—
1774C2×C4—84no—
1775C2×C4—88no—
1776C2×C4—84no—
1777C2×C4—88no—
1778C2×C4C23×D414yes—
1779C2×C4C23×D412yes—
1780C2×C4C23×D418yes—
1781C2×C4C23×D414yes—
1782C2×C4C23×D414yes—
1783C2×C4C23×D412yes—
1784C2×C4C23×D412yes—
1785C2×C4C2×H(5,𝔽2)12yes—
1786C2×C4C2×2−1+412yes—
1787C2×C4C2×2−1+412yes—
1788C2×C4C2×2−1+412yes—
1789C2×C4#58512yes—
1790C2×C4#58512yes—
1791C22—24no—
1792C22—24no—
1793C22—24no—
1794C22—22no—
1795C22—24no—
1796C22—24no—
1797C22—24no—
1798C22—24no—
1799C22—22no—
1800C22—22no—
1801C22—24no—
1802C22—24no—
1803C22—42no—
1804C22—42no—
1805C22—41no—
1806C22—42no—
1807C22—41no—
1808C22—42no—
1809C22—42no—
1810C22—41no—
1811C22—42no—
1812C22—42no—
1813C22—42no—
1814C22—42no—
1815C22—42no—
1816C22—42no—
1817C22—42no—
1818C22—41no—
1819C22—41no—
1820C22—41no—
1821C22—41no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—816no—
1827C22C24×D411yescharacteristic
1828C22C22×H(5,𝔽2)11yescharacteristic
1829C22C22×2−1+411yescharacteristic
1830C22C22×2−1+411yescharacteristic
1831C22C2×#58511yescharacteristic
1832C22C2×#58511yescharacteristic
1833C222−1+611yescharacteristic
1834C4—24no—
1835C4—28no—
1836C4—22no—
1837C4—22no—
1838C4—24no—
1839C4—24no—
1840C4—22no—
1841C4—41no—
1842C4—42no—
1843C4—42no—
1844C4—41no—
1845C4—41no—
1846C4—44no—
1847C4—42no—
1848C4—41no—
1849C4—42no—
1850C4—42no—
1851C4—41no—
1852C4—41no—
1853C4—42no—
1854C4—44no—
1855C4—44no—
1856C4—42no—
1857C4—42no—
1858C4—42no—
1859C4—41no—
1860C4—42no—
1861C4—41no—
1862C4#348614yes—
1863C4#348814yes—
1864C2—44no—
1865C2—44no—
1866C2—44no—
1867C2—42no—
1868C2—81no—
1869C2C2×#348611yescharacteristic
1870C2C2×#348811yescharacteristic
1871C2#6283111yescharacteristic
1872C2#6291511yescharacteristic
1873C2#6295011yescharacteristic
1874C2#6298811yescharacteristic
1875C2#6301311yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C2×#3515C2semidirect
2. C2×#3501C2semidirect
3. #59660C2semidirect
4. #59155C2semidirect
5. #59079C2semidirect
6. #59052C2semidirect
7. #59002C2semidirect
8. #48786C2semidirect
9. #48779C2semidirect
10. #46831C2semidirect
11. #45332C2semidirect
12. #45322C2semidirect
13. #45071C2semidirect
14. #44971C2semidirect
15. #44921C2semidirect
16. #42682C2semidirect
17. #42675C2semidirect
18. #39616C2semidirect
19. #39599C2semidirect
20. #39360C2semidirect
21. #38921C2semidirect
22. #38917C2semidirect
23. #38911C2semidirect
24. #37687C2semidirect
25. #37663C2semidirect
26. #36444C2semidirect
27. #36134C2semidirect
28. #36100C2semidirect
29. #35823C2semidirect
30. #35724C2semidirect
31. #35633C2semidirect
32. #35523C2semidirect
33. #34720C2semidirect
34. #34700C2semidirect
35. #34484C2semidirect
38. C2×#557C22semidirect
45. C2×#554C22semidirect
47. C2×#552C22semidirect
48. C2×#552C22semidirect
49. C2×#552C22semidirect
53. C2×#548C22semidirect
55. C2×#547C22semidirect
58. C2×#541C22semidirect
59. C2×#539C22semidirect
60. C2×#536C22semidirect
63. C2×#533C22semidirect
66. C22×#125C22semidirect
70. C2×#520C22semidirect
72. C2×C4×#41C22semidirect
74. #2868C22semidirect
76. #2857C22semidirect
77. #2857C22semidirect
79. #2814C22semidirect
80. #2732C22semidirect
82. #2728C22semidirect
83. #2726C22semidirect
84. #2726C22semidirect
85. #2725C22semidirect
87. #2723C22semidirect
89. #2720C22semidirect
90. #2720C22semidirect
91. #2720C22semidirect
92. #2713C22semidirect
95. #2704C22semidirect
96. #2702C22semidirect
97. #2698C22semidirect
98. #2698C22semidirect
100. #2690C22semidirect
101. #2689C22semidirect
102. #2689C22semidirect
103. #2689C22semidirect
104. #2687C22semidirect
105. #2681C22semidirect
106. #2680C22semidirect
107. #2680C22semidirect
108. #2680C22semidirect
109. #2680C22semidirect
110. #2674C22semidirect
111. #2672C22semidirect
112. #2672C22semidirect
113. #2660C22semidirect
114. #2638C22semidirect
117. #2625C22semidirect
118. #2625C22semidirect
119. #2623C22semidirect
120. #2621C22semidirect
122. #2584C22semidirect
123. #2582C22semidirect
124. #2582C22semidirect
125. #2568C22semidirect
126. #2567C22semidirect
128. #2556C22semidirect
129. #2552C22semidirect
130. #2552C22semidirect
131. #2550C22semidirect
132. #2550C22semidirect
133. #2547C22semidirect
134. #2547C22semidirect
135. #2546C22semidirect
136. #2546C22semidirect
139. #2542C22semidirect
143. #2536C22semidirect
146. #2492C22semidirect
148. #2489C22semidirect
149. #2489C22semidirect
150. #2489C22semidirect
151. #2486C22semidirect
152. #2486C22semidirect
159. #2477C22semidirect
160. #2475C22semidirect
161. #2475C22semidirect
162. #2473C22semidirect
163. #2473C22semidirect
170. #2460C22semidirect
176. #2453C22semidirect
177. #2452C22semidirect
178. #2451C22semidirect
180. #2449C22semidirect
181. #2449C22semidirect
184. #2446C22semidirect
185. #2443C22semidirect
187. #2442C22semidirect
188. #2442C22semidirect
189. #2442C22semidirect
190. #2442C22semidirect
192. #2441C22semidirect
193. #2441C22semidirect
194. #2440C22semidirect
195. #2440C22semidirect
196. #2440C22semidirect
197. #2439C22semidirect
199. #2434C22semidirect
200. #2434C22semidirect
201. #2434C22semidirect
202. #2432C22semidirect
203. #2432C22semidirect
207. #2429C22semidirect
208. #2429C22semidirect
209. #2429C22semidirect
210. #2429C22semidirect
215. #2427C22semidirect
216. #2427C22semidirect
217. #2427C22semidirect
220. #2423C22semidirect
221. #2423C22semidirect
226. #2421C22semidirect
234. #2417C22semidirect
235. #2417C22semidirect
240. #2415C22semidirect
241. #2415C22semidirect
242. #2415C22semidirect
243. #2415C22semidirect
244. #2415C22semidirect
246. #2409C22semidirect
251. #2398C22semidirect
256. #2378C22semidirect
257. #2370C22semidirect
258. #2369C22semidirect
259. #2367C22semidirect
260. #2365C22semidirect
262. #2362C22semidirect
265. #2361C22semidirect
266. #2360C22semidirect
271. Q8×C4⋊C4C22semidirect
272. Q8×C4⋊C4C22semidirect
274. D4×C4⋊C4C22semidirect
275. #2344C22semidirect
276. Q8×C22⋊C4C22semidirect
277. #2330C22semidirect
280. #2323C22semidirect
281. #2323C22semidirect
283. #2317C22semidirect
284. #2316C22semidirect
285. #2310C22semidirect
286. C4×C4⋊Q8C22semidirect
288. C4×#124C22semidirect
290. C4×C22⋊Q8C22semidirect
291. C4×C22⋊Q8C22semidirect
296. #2295C22semidirect
314. #554D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35152
C2×#35012
#596602
#591552
#590792
#590522
#590022
#487862
#487792
#468312
#453322
#453222
#450712
#449712
#449212
#426822
#426752
#396162
#395992
#393602
#389212
#389172
#389112
#376872
#376632
#364442
#361342
#361002
#358232
#357242
#356332
#355232
#347202
#347002
#344842