Finite Group Databasebeta

← #7987102

Subgroups — #7987102

Order 512.

6626 conjugacy classes of subgroups.

The subgroup lattice has 1843 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3555C211yesmaximal, characteristic, complemented
2C2×#3475C211yesmaximal, characteristic, complemented
3#59659C211yesmaximal, characteristic, complemented
4#59082C212yesmaximal, complemented
5#59081C211yesmaximal, characteristic, complemented
6#59050C211yesmaximal, characteristic, complemented
7#59017C212yesmaximal, complemented
8#51579C214yesmaximal, complemented
9#51528C214yesmaximal, complemented
10#45767C214yesmaximal, complemented
11#45300C212yesmaximal, complemented
12#45261C212yesmaximal, complemented
13#45238C212yesmaximal, complemented
14#45217C212yesmaximal, complemented
15#42680C212yesmaximal, complemented
16#42674C212yesmaximal, complemented
17#42443C212yesmaximal, complemented
18#42437C212yesmaximal, complemented
19#39744C211yesmaximal, characteristic, complemented
20#39727C211yesmaximal, characteristic, complemented
21#39488C211yesmaximal, characteristic, complemented
22#38920C211yesmaximal, characteristic, complemented
23#37799C214yesmaximal, complemented
24#37774C212yesmaximal, complemented
25#37671C212yesmaximal, complemented
26#36445C211yesmaximal, characteristic, complemented
27#36427C212yesmaximal, complemented
28#36405C212yesmaximal, complemented
29#36161C211yesmaximal, characteristic, complemented
30#36134C211yesmaximal, characteristic, complemented
31#35155C212yesmaximal, complemented
32#35151C212yesmaximal, complemented
33#34720C211yesmaximal, characteristic, complemented
34#34700C211yesmaximal, characteristic, complemented
35#34484C211yesmaximal, characteristic, complemented
36#3555—216no—
37C2×#563C2214yescomplemented
38C2×Q82C2211yescharacteristic, complemented
39C2×#557C2211yescharacteristic, complemented
40C2×#557C2212yescomplemented
41#3475—216no—
42C2×#556C2212yes—
43C2×#556C2211yescharacteristic
44C2×#556C2211yescharacteristic
45C2×#556C2212yescomplemented
46C2×#555C2211yescharacteristic
47C2×#554C2211yescharacteristic
48C2×#553C2212yes—
49C2×#552C2212yes—
50C2×#552C2212yes—
51C2×#552C2212yescomplemented
52C2×#551C2214yes—
53C2×#547C2211yescharacteristic
54C2×#546C2212yes—
55C2×#544C2212yescomplemented
56C2×#542C2212yes—
57C2×#541C2212yescomplemented
58C2×#541C2214yescomplemented
59C2×#541C2212yescomplemented
60C2×#533C2211yescharacteristic
61C2×#533C2211yescharacteristic, complemented
62C2×#533C2211yescharacteristic, complemented
63C2×#529C2211yescharacteristic
64C2×#529C2212yes—
65C2×#529C2214yes—
66C2×#525C2212yes—
67C2×C4×#41C2212yes—
68C2×C4×#41C2211yescharacteristic
69C22×C4×D4C2211yescharacteristic
70C22×#117C2212yes—
71#2868C2211yescharacteristic, complemented
72#2857C2211yescharacteristic
73#2857C2211yescharacteristic, complemented
74#2857C2212yescomplemented
75#2855C2214yescomplemented
76#2855C2214yescomplemented
77#2853C2214yescomplemented
78#2848C2212yes—
79#2816C2214yes—
80#2813C2214yes—
81#2731C2214yescomplemented
82#2730C2214yescomplemented
83#2729C2214yes—
84#2727C2214yescomplemented
85#2727C2214yescomplemented
86#2725C2214yescomplemented
87#2725C2214yescomplemented
88#2721C2214yescomplemented
89#2721C2214yescomplemented
90#2721C2214yescomplemented
91#2721C2214yescomplemented
92#2721C2214yescomplemented
93#2719C2214yescomplemented
94#2718C2214yes—
95#2718C2214yes—
96#2718C2214yes—
97#2718C2214yescomplemented
98#2718C2214yescomplemented
99#2718C2214yescomplemented
100#2716C2214yescomplemented
101#2710C2214yes—
102#2707C2214yes—
103#2707C2214yescomplemented
104#2706C2214yescomplemented
105#2705C2214yescomplemented
106#2702C2214yescomplemented
107#2694C2214yes—
108#2694C2214yescomplemented
109#2685C2214yes—
110#2685C2214yes—
111#2685C2214yes—
112#2674C2214yescomplemented
113#2670C2214yes—
114#2658C2212yes—
115#2638C2214yescomplemented
116#2630C2214yescomplemented
117#2626C2214yes—
118#2626C2214yes—
119#2624C2214yes—
120#2624C2212yescomplemented
121#2620C2212yes—
122#2620C2214yes—
123#2620C2212yescomplemented
124#2592C2212yes—
125#2582C2212yescomplemented
126#2568C2211yescharacteristic, complemented
127#2554C2214yes—
128#2552C2212yescomplemented
129#2552C2214yescomplemented
130#2550C2212yescomplemented
131#2547C2211yescharacteristic
132#2546C2211yescharacteristic, complemented
133#2546C2212yescomplemented
134#2545C2212yes—
135#2545C2214yescomplemented
136#2542C2212yes—
137#2542C2212yes—
138#2542C2212yescomplemented
139#2542C2211yescharacteristic, complemented
140#2540C2212yes—
141#2538C2211yescharacteristic
142#2538C2212yes—
143#2538C2212yes—
144#2538C2211yescharacteristic, complemented
145#2536C2212yescomplemented
146#2519C2214yescomplemented
147#2502C2212yescomplemented
148#2500C2212yescomplemented
149#2492C2212yes—
150#2491C2212yes—
151#2491C2212yescomplemented
152#2490C2212yescomplemented
153#2489C2212yescomplemented
154#2487C2212yescomplemented
155#2485C2212yes—
156#2485C2214yescomplemented
157#2482C2214yes—
158#2480C2214yes—
159#2480C2212yes—
160#2479C2214yes—
161#2479C2214yescomplemented
162#2478C2214yescomplemented
163#2478C2214yescomplemented
164#2478C2214yescomplemented
165#2477C2212yescomplemented
166#2475C2214yes—
167#2475C2214yescomplemented
168#2475C2212yescomplemented
169#2474C2214yescomplemented
170#2469C2214yescomplemented
171#2468C2212yes—
172#2468C2214yescomplemented
173#2468C2214yescomplemented
174#2467C2214yescomplemented
175#2466C2214yes—
176#2466C2214yescomplemented
177#2463C2212yes—
178#2460C2212yes—
179#2460C2214yescomplemented
180#2459C2214yescomplemented
181#2458C2214yes—
182#2457C2212yes—
183#2454C2214yes—
184#2454C2211yescharacteristic
185#2454C2214yescomplemented
186#2454C2212yescomplemented
187#2453C2214yescomplemented
188#2453C2212yescomplemented
189#2452C2211yescharacteristic, complemented
190#2451C2212yescomplemented
191#2448C2214yescomplemented
192#2447C2211yescharacteristic
193#2447C2212yes—
194#2446C2211yescharacteristic, complemented
195#2446C2214yescomplemented
196#2442C2211yescharacteristic
197#2441C2212yes—
198#2441C2214yes—
199#2441C2212yes—
200#2441C2212yescomplemented
201#2441C2212yescomplemented
202#2441C2212yescomplemented
203#2441C2214yescomplemented
204#2441C2212yescomplemented
205#2441C2214yescomplemented
206#2439C2211yescharacteristic
207#2439C2214yes—
208#2439C2212yes—
209#2439C2212yescomplemented
210#2439C2212yescomplemented
211#2439C2212yescomplemented
212#2439C2214yescomplemented
213#2435C2212yes—
214#2435C2211yescharacteristic
215#2432C2212yes—
216#2432C2211yescharacteristic
217#2432C2212yes—
218#2432C2212yes—
219#2429C2212yes—
220#2429C2212yes—
221#2429C2212yescomplemented
222#2429C2212yescomplemented
223#2429C2212yescomplemented
224#2429C2212yescomplemented
225#2427C2211yescharacteristic
226#2427C2211yescharacteristic, complemented
227#2426C2212yes—
228#2426C2212yes—
229#2426C2212yescomplemented
230#2423C2212yes—
231#2423C2212yescomplemented
232#2423C2212yescomplemented
233#2423C2212yescomplemented
234#2421C2211yescharacteristic, complemented
235#2420C2211yescharacteristic
236#2418C2212yes—
237#2417C2211yescharacteristic
238#2415C2212yes—
239#2415C2211yescharacteristic
240#2415C2212yescomplemented
241#2415C2214yescomplemented
242#2415C2212yescomplemented
243#2414C2212yescomplemented
244#2414C2212yescomplemented
245#2411C2214yes—
246#2408C2211yescharacteristic
247#2407C2212yes—
248#2407C2211yescharacteristic
249#2398C2212yes—
250#2395C2212yes—
251#2392C2212yes—
252#2392C2212yes—
253#2378C2214yescomplemented
254#2370C2212yescomplemented
255#2369C2211yescharacteristic, complemented
256#2367C2212yes—
257#2367C2214yescomplemented
258#2365C2212yescomplemented
259#2365C2212yescomplemented
260#2362C2212yes—
261#2362C2212yescomplemented
262#2362C2212yescomplemented
263#2362C2212yescomplemented
264#2362C2212yescomplemented
265#2360C2212yes—
266#2354C2211yescharacteristic
267#2354C2212yes—
268#2354C2212yes—
269#2354C2212yescomplemented
270Q8×C4⋊C4C2212yescomplemented
271Q8×C4⋊C4C2211yescharacteristic, complemented
272Q8×C4⋊C4C2212yescomplemented
273#2344C2212yescomplemented
274#2341C2212yes—
275#2330C2212yescomplemented
276#2327C2212yescomplemented
277#2323C2212yescomplemented
278#2323C2212yescomplemented
279#2323C2214yescomplemented
280#2319C2212yes—
281#2317C2212yescomplemented
282#2317C2212yescomplemented
283#2316C2212yescomplemented
284C4×C4⋊Q8C2211yescharacteristic, complemented
285C4×#124C2211yescharacteristic
286C4×#124C2211yescharacteristic, complemented
287C4×C22⋊Q8C2211yescharacteristic
288C4×C22⋊Q8C2211yescharacteristic
289C4×C22⋊Q8C2212yescomplemented
290C4×C22⋊Q8C2212yescomplemented
291C4×#121C2211yescharacteristic
292C4×#121C2211yescharacteristic, complemented
293C4×#120C2212yes—
294#2296C2214yescomplemented
295#2295C2211yescharacteristic, complemented
296#2293C2211yescharacteristic
297#2290C2212yescomplemented
298#2280C2212yes—
299#2280C2212yes—
300C42×D4C2211yescharacteristic
301C22×#41C2311yescharacteristic
302C22×#41C2312yes—
303C23×D4C2311yescharacteristic
304C24×C4C2312yes—
305#563—232no—
306Q82—28no—
307#557—216no—
308#557—28no—
309#556—216no—
310#556—28no—
311#556—216no—
312#556—28no—
313#555—28no—
314#554D4116yescomplemented
315#553—216no—
316#552—216no—
317#552—216no—
318#552—216no—
319#551—232no—
320#547—28no—
321#546—216no—
322#544—216no—
323#542—216no—
324#541—216no—
325#541—216no—
326#541—232no—
327#533—28no—
328#533—28no—
329#533—28no—
330C2×C4⋊Q8C2311yescharacteristic
331C2×C4⋊Q8C2311yescharacteristic
332C2×C4⋊Q8C2312yes—
333C2×C4⋊Q8C2314yes—
334C2×C4⋊Q8C2311yescharacteristic
335C2×C4⋊Q8C2311yescharacteristic
336C2×C4⋊Q8C2314yes—
337C2×C4⋊Q8C2312yes—
338C2×C4⋊Q8C2312yes—
339C2×C4⋊Q8C2312yes—
340C2×C4⋊Q8C2312yes—
341C2×C4⋊Q8C2312yes—
342C2×C4⋊Q8C2311yescharacteristic
343#529—216no—
344#529—232no—
345#529—28no—
346C2×#126C2312yes—
347C2×#126C2314yes—
348C2×#126C2314yes—
349C2×#126C2314yes—
350C2×#126C2314yes—
351C2×#126C2314yes—
352C2×#126C2314yes—
353C2×#126C2314yes—
354C2×#126C2314yes—
355C2×#126C2314yes—
356C2×#125C2311yescharacteristic
357C2×#125C2314yes—
358C2×#125C2312yes—
359C2×#125C2312yes—
360C2×#125C2312yes—
361C2×#125C2314yes—
362C2×#125C2314yes—
363C2×#125C2314yes—
364C2×#125C2314yes—
365C2×#125C2314yes—
366C2×#125C2312yes—
367C2×#125C2312yes—
368C2×#124C2312yes—
369C2×#124C2314yes—
370C2×#124C2311yescharacteristic
371C2×#124C2314yes—
372C2×#124C2312yes—
373C2×#124C2314yes—
374C2×#124C2311yescharacteristic
375C2×#124C2312yes—
376C2×#124C2311yescharacteristic
377#525—216no—
378C2×#123C2314yes—
379C2×#123C2314yes—
380C2×#123C2312yes—
381C2×#123C2314yes—
382C2×#123C2314yes—
383C2×#123C2314yes—
384C2×C22⋊Q8C2314yes—
385C2×C22⋊Q8C2311yescharacteristic
386C2×C22⋊Q8C2312yes—
387C2×C22⋊Q8C2314yes—
388C2×C22⋊Q8C2311yescharacteristic
389C2×C22⋊Q8C2312yes—
390C2×C22⋊Q8C2311yescharacteristic
391C2×C22⋊Q8C2312yes—
392C2×C22⋊Q8C2311yescharacteristic
393C2×C22⋊Q8C2312yes—
394C2×C22⋊Q8C2312yes—
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2312yes—
397C2×C22⋊Q8C2312yes—
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2312yes—
400C2×C22⋊Q8C2312yes—
401C2×C22⋊Q8C2312yes—
402C2×C22⋊Q8C2312yes—
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2311yescharacteristic
406C2×C22⋊Q8C2312yes—
407C2×C22⋊Q8C2314yes—
408C2×#121C2314yes—
409C2×#121C2312yes—
410C2×#121C2311yescharacteristic
411C2×#121C2312yes—
412C2×#121C2312yes—
413C2×#121C2311yescharacteristic
414C2×#121C2311yescharacteristic
415C2×#120C2314yes—
416C2×#120C2312yes—
417C4×#41—28no—
418C4×#41—216no—
419C2×C4×Q8C2311yescharacteristic
420C2×C4×Q8C2312yes—
421C2×C4×Q8C2312yes—
422C2×C4×Q8C2312yes—
423C2×C4×Q8C2312yes—
424C2×C4×Q8C2311yescharacteristic
425C2×C4×Q8C2312yes—
426C2×C4×Q8C2312yes—
427C2×C4×Q8C2312yes—
428C2×C4×Q8C2312yes—
429C2×C4×Q8C2312yes—
430C2×C4×Q8C2312yes—
431C2×C4×Q8C2312yes—
432C2×C4×Q8C2314yes—
433C2×C4×Q8C2311yescharacteristic
434C2×C4×Q8C2312yes—
435C2×C4×Q8C2312yes—
436C2×C4×Q8C2311yescharacteristic
437C2×C4×D4—28no—
438C2×C4×D4C2311yescharacteristic
439C2×C4×D4C2311yescharacteristic
440C2×C4×D4C2314yes—
441C2×C4×D4C2314yes—
442C2×C4×D4C2312yes—
443C2×C4×D4C2312yes—
444C2×C4×D4C2312yes—
445C2×C4×D4C2311yescharacteristic
446C2×C4×D4C2312yes—
447C2×C4×D4C2311yescharacteristic
448C2×C4×D4C2314yes—
449C2×C4×D4C2311yescharacteristic
450C2×C4×D4C2311yescharacteristic
451C2×C4×D4C2312yes—
452C2×C4×D4C2312yes—
453C2×C4×D4C2311yescharacteristic
454C2×C4×D4C2312yes—
455C2×C4×D4C2311yescharacteristic
456C2×C4×D4C2312yes—
457C2×C4×D4C2311yescharacteristic
458C2×#117—216no—
459C2×#117C2312yes—
460C2×#117C2312yes—
461C2×#117C2312yes—
462C2×#117C2312yes—
463C2×#117C2312yes—
464C2×#117C2312yes—
465C2×#117C2312yes—
466C2×#117C2314yes—
467C2×#117C2311yescharacteristic
468C2×#117C2312yes—
469C2×#117C2314yes—
470C2×#117C2314yes—
471C2×#117C2312yes—
472C2×#117C2314yes—
473C2×#117C2312yes—
474C2×#117C2312yes—
475C2×#117C2314yes—
476C22×C4⋊C4C2312yes—
477C22×C4⋊C4C2311yescharacteristic
478C22×C4⋊C4C2312yes—
479C22×C22⋊C4C2314yes—
480C22×C22⋊C4C2312yes—
481C22×C42C2314yes—
482C22×C42C2311yescharacteristic
483C22×C42C2312yes—
484C22×C42C2311yescharacteristic
485#400C2314yes—
486#400C2312yes—
487#400C2312yes—
488#400C2312yes—
489#400C2314yes—
490#400C2314yes—
491#399C2314yes—
492#399C2314yes—
493#399C2314yes—
494#399C2314yes—
495#399C2314yes—
496#399C2314yes—
497#399C2314yes—
498#399C2312yes—
499#399C2314yes—
500#399C2314yes—
501#399C2314yes—
502#399C2314yes—
503#399C2314yes—
504#398C2314yes—
505#398C2314yes—
506#398C2314yes—
507#398C2314yes—
508#398C2314yes—
509#398C2314yes—
510#398C2312yes—
511#398C2312yes—
512#398C2312yes—
513#398C2314yes—
514#398C2314yes—
515#398C2314yes—
516#398C2314yes—
517#398C2314yes—
518#397C2314yes—
519#397C2312yes—
520#397C2314yes—
521#397C2314yes—
522#397C2312yes—
523#397C2314yes—
524#397C2314yes—
525#397C2312yes—
526#397C2312yes—
527#397C2312yes—
528#397C2312yes—
529#397C2312yes—
530#397C2314yes—
531#396C2314yes—
532#396C2312yes—
533#396C2314yes—
534#396C2314yes—
535#396C2314yes—
536#396C2314yes—
537#396C2314yes—
538#396C2312yes—
539#396C2314yes—
540#396C2314yes—
541#396C2314yes—
542#396C2314yes—
543#396C2314yes—
544#396C2314yes—
545#396C2314yes—
546#396C2314yes—
547#396C2312yes—
548#396C2312yes—
549#396C2314yes—
550#396C2314yes—
551#395C2314yes—
552#394C2312yes—
553#394C2314yes—
554#394C2314yes—
555#394C2314yes—
556#394C2314yes—
557#394C2314yes—
558#394C2312yes—
559#394C2314yes—
560#394C2314yes—
561#394C2314yes—
562#394C2314yes—
563#394C2314yes—
564#394C2314yes—
565#394C2312yes—
566#394C2314yes—
567#394C2314yes—
568#394C2312yes—
569#394C2314yes—
570#394C2312yes—
571#394C2312yes—
572#394C2312yes—
573#394C2312yes—
574#394C2312yes—
575#394C2312yes—
576#394C2314yes—
577#393C2312yes—
578#393C2314yes—
579#393C2312yes—
580#393C2314yes—
581#393C2314yes—
582#393C2314yes—
583#392C2314yes—
584#392C2312yes—
585#392C2312yes—
586#392C2314yes—
587#391C2312yes—
588#391C2312yes—
589#391C2312yes—
590#391C2312yes—
591#391C2311yescharacteristic
592#391C2314yes—
593#391C2312yes—
594#391C2314yes—
595#391C2312yes—
596#391C2312yes—
597#391C2312yes—
598#391C2314yes—
599#391C2314yes—
600#391C2312yes—
601#391C2311yescharacteristic
602#391C2311yescharacteristic
603#391C2311yescharacteristic
604#391C2311yescharacteristic
605#391C2314yes—
606#391C2311yescharacteristic
607#390C2311yescharacteristic
608#390C2312yes—
609#390C2311yescharacteristic
610#390C2312yes—
611#390C2312yes—
612#390C2312yes—
613#390C2314yes—
614#390C2314yes—
615#390C2311yescharacteristic
616#390C2314yes—
617#390C2314yes—
618#390C2314yes—
619#390C2314yes—
620#390C2314yes—
621#390C2311yescharacteristic
622#390C2311yescharacteristic
623#390C2311yescharacteristic
624#390C2314yes—
625#389C2312yes—
626#389C2312yes—
627#389C2311yescharacteristic
628#389C2314yes—
629#389C2312yes—
630#389C2312yes—
631#389C2314yes—
632#389C2311yescharacteristic
633#389C2312yes—
634#389C2312yes—
635#389C2312yes—
636#389C2314yes—
637#389C2314yes—
638#389C2312yes—
639#389C2314yes—
640#389C2312yes—
641#389C2314yes—
642#389C2314yes—
643#389C2311yescharacteristic
644#389C2314yes—
645#389C2311yescharacteristic
646#389C2314yes—
647#389C2314yes—
648#389C2314yes—
649#389C2314yes—
650#389C2311yescharacteristic
651#389C2312yes—
652#389C2312yes—
653#389C2312yes—
654#389C2314yes—
655#389C2314yes—
656#389C2314yes—
657#389C2314yes—
658#389C2312yes—
659#389C2314yes—
660#389C2314yes—
661#389C2314yes—
662#389C2311yescharacteristic
663#389C2312yes—
664#389C2314yes—
665#389C2311yescharacteristic
666#389C2311yescharacteristic
667#388C2314yes—
668#388C2314yes—
669#388C2312yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2312yes—
678#388C2314yes—
679#388C2314yes—
680#388C2314yes—
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#387C2312yes—
706#387C2314yes—
707#387C2314yes—
708#387C2314yes—
709#387C2314yes—
710#387C2314yes—
711#387C2314yes—
712#387C2314yes—
713#387C2314yes—
714#387C2314yes—
715#387C2314yes—
716#387C2314yes—
717#387C2314yes—
718#387C2312yes—
719#387C2314yes—
720#387C2314yes—
721#387C2314yes—
722#387C2314yes—
723#387C2314yes—
724#387C2314yes—
725#387C2314yes—
726#387C2312yes—
727#387C2312yes—
728#387C2312yes—
729#387C2312yes—
730#387C2312yes—
731#387C2312yes—
732#386C2312yes—
733#386C2314yes—
734#386C2312yes—
735#386C2312yes—
736#386C2312yes—
737#386C2312yes—
738#386C2312yes—
739#386C2312yes—
740#385C2314yes—
741#385C2314yes—
742#385C2314yes—
743#385C2314yes—
744#385C2314yes—
745#385C2314yes—
746#385C2314yes—
747#385C2314yes—
748#385C2312yes—
749#385C2312yes—
750#385C2314yes—
751#385C2312yes—
752#385C2314yes—
753#385C2312yes—
754#385C2312yes—
755#385C2312yes—
756#385C2314yes—
757#385C2312yes—
758#385C2312yes—
759#385C2312yes—
760#384C2311yescharacteristic
761#384C2312yes—
762#384C2312yes—
763#384C2314yes—
764#384C2312yes—
765#384C2312yes—
766#384C2314yes—
767#384C2314yes—
768#384C2312yes—
769#384C2312yes—
770#382C2312yes—
771#382C2311yescharacteristic
772#382C2314yes—
773#382C2311yescharacteristic
774#381C2314yes—
775#381C2312yes—
776#381C2312yes—
777#381C2314yes—
778#380C2314yes—
779#380C2314yes—
780#380C2311yescharacteristic
781#380C2312yes—
782#380C2312yes—
783#380C2312yes—
784#380C2314yes—
785#380C2312yes—
786#380C2312yes—
787#380C2314yes—
788#380C2312yes—
789#380C2311yescharacteristic
790#380C2311yescharacteristic
791#380C2312yes—
792#380C2311yescharacteristic
793#380C2312yes—
794#380C2312yes—
795#380C2312yes—
796#380C2312yes—
797#380C2312yes—
798#380C2312yes—
799#380C2312yes—
800#379C2314yes—
801#379C2312yes—
802#379C2314yes—
803#379C2312yes—
804#379C2312yes—
805C4×C4⋊C4C2312yes—
806C4×C4⋊C4C2312yes—
807C4×C4⋊C4C2311yescharacteristic
808C4×C4⋊C4C2312yes—
809C4×C4⋊C4C2312yes—
810C4×C4⋊C4C2314yes—
811C4×C4⋊C4C2312yes—
812C4×C4⋊C4C2312yes—
813C4×C4⋊C4C2311yescharacteristic
814C4×C4⋊C4C2314yes—
815C4×C4⋊C4C2312yes—
816C4×C4⋊C4C2314yes—
817C4×C4⋊C4C2311yescharacteristic
818C4×C4⋊C4C2312yes—
819C4×C4⋊C4C2314yes—
820C4×C4⋊C4C2314yes—
821C4×C4⋊C4C2314yes—
822C4×C4⋊C4C2311yescharacteristic
823C4×C4⋊C4C2312yes—
824C4×C4⋊C4C2311yescharacteristic
825C4×C22⋊C4C2312yes—
826C4×C22⋊C4C2314yes—
827C4×C22⋊C4C2312yes—
828C4×C22⋊C4C2312yes—
829C4×C22⋊C4C2314yes—
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2312yes—
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2314yes—
834C4×C22⋊C4C2311yescharacteristic
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2311yescharacteristic
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2311yescharacteristic
840C4×C22⋊C4C2311yescharacteristic
841C4×C22⋊C4C2311yescharacteristic
842C4×C22⋊C4C2311yescharacteristic
843#376C2312yes—
844C43C2311yescharacteristic
845C25C2412yes—
846C2×#41—24no—
847C2×#41—28no—
848C2×#41—24no—
849C2×#41—42no—
850C2×#41—44no—
851C2×#41—44no—
852C22×Q8C2411yescharacteristic
853C22×Q8C2411yescharacteristic
854C22×Q8C2412yes—
855C22×Q8C2412yes—
856C22×Q8C2411yescharacteristic
857C22×Q8C2412yes—
858C22×Q8C2414yes—
859C22×Q8C2412yes—
860C22×D4—24no—
861C22×D4—42no—
862C22×D4—42no—
863C22×D4C2411yescharacteristic
864C22×D4C2411yescharacteristic
865C22×D4C2411yescharacteristic
866C22×D4C2412yes—
867C22×D4C2411yescharacteristic
868C22×D4C2414yes—
869C22×D4C2412yes—
870C22×D4C2414yes—
871C22×D4C2412yes—
872C22×D4C2412yes—
873C22×D4C2412yes—
874C23×C4—28no—
875C23×C4—28no—
876C23×C4—44no—
877C23×C4C2411yescharacteristic
878C23×C4C2411yescharacteristic
879C23×C4C2411yescharacteristic
880C23×C4C2412yes—
881C23×C4C2412yes—
882C23×C4C2412yes—
883C23×C4C2412yes—
884C23×C4C2412yes—
885C23×C4C2412yes—
886C23×C4C2412yes—
887C23×C4C2411yescharacteristic
888C23×C4C2411yescharacteristic
889C23×C4C2414yes—
890C23×C4C2412yes—
891C23×C4C2411yescharacteristic
892C23×C4C2414yes—
893C4⋊Q8—24no—
894C4⋊Q8—216no—
895C4⋊Q8—24no—
896C4⋊Q8—28no—
897C4⋊Q8—28no—
898C4⋊Q8—216no—
899C4⋊Q8—24no—
900C4⋊Q8—24no—
901C4⋊Q8—28no—
902C4⋊Q8—44no—
903C4⋊Q8—44no—
904C4⋊Q8—44no—
905C4⋊Q8C2×D418yes—
906#126—216no—
907#126—216no—
908#126—216no—
909#126—216no—
910#126—216no—
911#126—28no—
912#126—216no—
913#126—216no—
914#126—216no—
915#126—216no—
916#125—216no—
917#125—24no—
918#125—28no—
919#125—28no—
920#125—28no—
921#125—216no—
922#125—216no—
923#125—216no—
924#125—216no—
925#125—216no—
926#125—28no—
927#125C2×D4116yes—
928#124—216no—
929#124—24no—
930#124—28no—
931#124—216no—
932#124—28no—
933#124—48no—
934#124—42no—
935#124—44no—
936#124—42no—
937#123—216no—
938#123—216no—
939#123—216no—
940#123—216no—
941#123—216no—
942#123—28no—
943C22⋊Q8—28no—
944C22⋊Q8—28no—
945C22⋊Q8—24no—
946C22⋊Q8—28no—
947C22⋊Q8—216no—
948C22⋊Q8—28no—
949C22⋊Q8—216no—
950C22⋊Q8—24no—
951C22⋊Q8—24no—
952C22⋊Q8—28no—
953C22⋊Q8—28no—
954C22⋊Q8—28no—
955C22⋊Q8—24no—
956C22⋊Q8—28no—
957C22⋊Q8—44no—
958C22⋊Q8—44no—
959C22⋊Q8—44no—
960C22⋊Q8—42no—
961C22⋊Q8—44no—
962C22⋊Q8—44no—
963C22⋊Q8—44no—
964C22⋊Q8—44no—
965C22⋊Q8C2×D4116yes—
966C22⋊Q8C2×D4132yes—
967#121—24no—
968#121—28no—
969#121—216no—
970#121—28no—
971#121—28no—
972#121—42no—
973#121—42no—
974#120—216no—
975#120—44no—
976C4×Q8—24no—
977C4×Q8—28no—
978C4×Q8—28no—
979C4×Q8—28no—
980C4×Q8—28no—
981C4×Q8—28no—
982C4×Q8—28no—
983C4×Q8—216no—
984C4×Q8—28no—
985C4×Q8—28no—
986C4×Q8—28no—
987C4×Q8—24no—
988C4×Q8—28no—
989C4×Q8—24no—
990C4×Q8—28no—
991C4×Q8—44no—
992C4×Q8—44no—
993C4×Q8C2×D418yes—
994C4×D4—24no—
995C4×D4—28no—
996C4×D4—216no—
997C4×D4—28no—
998C4×D4—24no—
999C4×D4—24no—
1000C4×D4—28no—
1001C4×D4—24no—
1002C4×D4—216no—
1003C4×D4—28no—
1004C4×D4—216no—
1005C4×D4—24no—
1006C4×D4—28no—
1007C4×D4—24no—
1008C4×D4—42no—
1009C4×D4—44no—
1010C4×D4—44no—
1011C4×D4—42no—
1012C4×D4C2×D418yes—
1013C4×D4C2×D4116yes—
1014#117—28no—
1015#117—216no—
1016#117—28no—
1017#117—24no—
1018#117—28no—
1019#117—216no—
1020#117—216no—
1021#117—28no—
1022#117—28no—
1023#117—28no—
1024#117—28no—
1025#117—28no—
1026#117—216no—
1027#117—28no—
1028#117—44no—
1029#117—48no—
1030#117—44no—
1031C2×C4⋊C4—28no—
1032C2×C4⋊C4—24no—
1033C2×C4⋊C4C2×D4116yes—
1034C2×C4⋊C4C2411yescharacteristic
1035C2×C4⋊C4C2411yescharacteristic
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2411yescharacteristic
1042C2×C4⋊C4C2411yescharacteristic
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2414yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2411yescharacteristic
1055C2×C4⋊C4C2411yescharacteristic
1056C2×C4⋊C4C2411yescharacteristic
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2414yes—
1059C2×C4⋊C4C2414yes—
1060C2×C4⋊C4C2414yes—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2414yes—
1063C2×C4⋊C4C2414yes—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2414yes—
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2414yes—
1070C2×C4⋊C4C2414yes—
1071C2×C4⋊C4C2411yescharacteristic
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2411yescharacteristic
1074C2×C4⋊C4C2411yescharacteristic
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2414yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2411yescharacteristic
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2414yes—
1084C2×C4⋊C4C2414yes—
1085C2×C4⋊C4C2414yes—
1086C2×C4⋊C4C2414yes—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2414yes—
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2414yes—
1091C2×C4⋊C4C2414yes—
1092C2×C4⋊C4C2414yes—
1093C2×C4⋊C4C2414yes—
1094C2×C4⋊C4C2414yes—
1095C2×C4⋊C4C2414yes—
1096C2×C4⋊C4C2414yes—
1097C2×C4⋊C4C2414yes—
1098C2×C4⋊C4C2414yes—
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2414yes—
1102C2×C4⋊C4C2411yescharacteristic
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2414yes—
1105C2×C4⋊C4C2411yescharacteristic
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2414yes—
1109C2×C22⋊C4—216no—
1110C2×C22⋊C4—28no—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2411yescharacteristic
1134C2×C22⋊C4C2411yescharacteristic
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2411yescharacteristic
1143C2×C22⋊C4C2411yescharacteristic
1144C2×C22⋊C4C2411yescharacteristic
1145C2×C22⋊C4C2411yescharacteristic
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2414yes—
1158C2×C22⋊C4C2414yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2414yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
1175C2×C22⋊C4C2414yes—
1176C2×C42—216no—
1177C2×C42—24no—
1178C2×C42—28no—
1179C2×C42—24no—
1180C2×C42C2414yes—
1181C2×C42C2412yes—
1182C2×C42C2411yescharacteristic
1183C2×C42C2414yes—
1184C2×C42C2412yes—
1185C2×C42C2414yes—
1186C2×C42C2414yes—
1187C2×C42C2411yescharacteristic
1188C2×C42C2411yescharacteristic
1189C2×C42C2412yes—
1190C2×C42C2412yes—
1191C2×C42C2412yes—
1192C2×C42C2414yes—
1193C2×C42C2414yes—
1194C2×C42C2414yes—
1195C2×C42C2411yescharacteristic
1196C2×C42C2411yescharacteristic
1197C2×C42C2411yescharacteristic
1198C2×C42C2412yes—
1199C2×C42C2411yescharacteristic
1200C2×C42C2411yescharacteristic
1201C2×C42C2411yescharacteristic
1202C2×C42C2414yes—
1203C2×C42C2411yescharacteristic
1204C2×C42C2411yescharacteristic
1205C2×C42C2414yes—
1206C2×C42C2414yes—
1207C2×C42C2414yes—
1208C2×C42C2411yescharacteristic
1209C2×C42C2412yes—
1210C2×C42C2411yescharacteristic
1211#95C2412yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2412yes—
1215#95C2412yes—
1216#95C2411yescharacteristic
1217#95C2411yescharacteristic
1218#95C2414yes—
1219#95C2411yescharacteristic
1220#95C2412yes—
1221#95C2411yescharacteristic
1222#95C2411yescharacteristic
1223#95C2411yescharacteristic
1224#95C2412yes—
1225#95C2412yes—
1226#95C2412yes—
1227#95C2412yes—
1228#95C2412yes—
1229#95C2412yes—
1230#95C2412yes—
1231#95C2412yes—
1232#95C2414yes—
1233#95C2414yes—
1234#95C2412yes—
1235#95C2412yes—
1236#95C2412yes—
1237#95C2412yes—
1238#95C2412yes—
1239#95C2412yes—
1240#95C2412yes—
1241#95C2412yes—
1242#95C2412yes—
1243#95C2412yes—
1244#95C2412yes—
1245#95C2414yes—
1246#95C2414yes—
1247#95C2414yes—
1248#95C2414yes—
1249#95C2414yes—
1250#95C2412yes—
1251#95C2414yes—
1252#95C2414yes—
1253#95C2414yes—
1254#95C2412yes—
1255#95C2414yes—
1256#95C2414yes—
1257#95C2412yes—
1258#95C2412yes—
1259#95C2412yes—
1260#95C2414yes—
1261#95C2414yes—
1262#95C2414yes—
1263#95C2414yes—
1264#95C2414yes—
1265#95C2414yes—
1266#95C2414yes—
1267C24—24no—
1268C24—24no—
1269C24—42no—
1270C24—42no—
1271C24—42no—
1272C24—42no—
1273C24—42no—
1274C24C2512yes—
1275C24C2511yescharacteristic
1276C24C2512yes—
1277C24C2512yes—
1278C24C2511yescharacteristic
1279#41—416no—
1280#41—432no—
1281C2×Q8—22no—
1282C2×Q8—24no—
1283C2×Q8—22no—
1284C2×Q8—24no—
1285C2×Q8—24no—
1286C2×Q8—28no—
1287C2×Q8—22no—
1288C2×Q8—22no—
1289C2×Q8—22no—
1290C2×Q8—22no—
1291C2×Q8—22no—
1292C2×Q8—24no—
1293C2×Q8—24no—
1294C2×Q8—22no—
1295C2×Q8—24no—
1296C2×Q8—24no—
1297C2×Q8—42no—
1298C2×Q8—42no—
1299C2×Q8—42no—
1300C2×Q8—44no—
1301C2×Q8—42no—
1302C2×Q8—44no—
1303C2×Q8C22×D414yes—
1304C2×Q8C22×D418yes—
1305C2×D4—28no—
1306C2×D4—24no—
1307C2×D4—22no—
1308C2×D4—24no—
1309C2×D4—24no—
1310C2×D4—24no—
1311C2×D4—22no—
1312C2×D4—22no—
1313C2×D4—28no—
1314C2×D4—22no—
1315C2×D4—22no—
1316C2×D4—22no—
1317C2×D4—22no—
1318C2×D4—22no—
1319C2×D4—22no—
1320C2×D4—22no—
1321C2×D4—41no—
1322C2×D4—42no—
1323C2×D4—42no—
1324C2×D4—42no—
1325C2×D4—44no—
1326C2×D4—44no—
1327C2×D4—42no—
1328C2×D4—42no—
1329C2×D4—42no—
1330C2×D4—42no—
1331C2×D4—42no—
1332C2×D4—42no—
1333C2×D4—44no—
1334C2×D4—44no—
1335C2×D4—42no—
1336C2×D4—42no—
1337C2×D4—416no—
1338C2×D4C22×D414yes—
1339C22×C4—22no—
1340C22×C4—24no—
1341C22×C4—24no—
1342C22×C4—22no—
1343C22×C4—24no—
1344C22×C4—28no—
1345C22×C4—24no—
1346C22×C4—22no—
1347C22×C4—22no—
1348C22×C4—22no—
1349C22×C4—24no—
1350C22×C4—24no—
1351C22×C4—24no—
1352C22×C4—24no—
1353C22×C4—24no—
1354C22×C4—22no—
1355C22×C4—24no—
1356C22×C4—24no—
1357C22×C4—24no—
1358C22×C4—24no—
1359C22×C4—22no—
1360C22×C4—22no—
1361C22×C4—24no—
1362C22×C4—22no—
1363C22×C4—24no—
1364C22×C4—22no—
1365C22×C4—22no—
1366C22×C4—24no—
1367C22×C4—22no—
1368C22×C4—24no—
1369C22×C4—22no—
1370C22×C4—44no—
1371C22×C4—42no—
1372C22×C4—42no—
1373C22×C4—42no—
1374C22×C4—44no—
1375C22×C4—42no—
1376C22×C4—44no—
1377C22×C4—44no—
1378C22×C4—432no—
1379C22×C4—41no—
1380C22×C4—41no—
1381C22×C4—42no—
1382C22×C4—41no—
1383C22×C4—41no—
1384C22×C4—42no—
1385C22×C4C22×D418yes—
1386C22×C4C22×D4116yes—
1387C22×C42−1+414yes—
1388C22×C4C2511yescharacteristic
1389C22×C4C2512yes—
1390C22×C4C2512yes—
1391C22×C4C2512yes—
1392C22×C4C2512yes—
1393C22×C4C2511yescharacteristic
1394C22×C4C2512yes—
1395C22×C4C2511yescharacteristic
1396C22×C4C2511yescharacteristic
1397C22×C4C2514yes—
1398C22×C4C2512yes—
1399C22×C4C2512yes—
1400C22×C4C2511yescharacteristic
1401C22×C4C2511yescharacteristic
1402C22×C4C2512yes—
1403C22×C4C2512yes—
1404C22×C4C2514yes—
1405C22×C4C2511yescharacteristic
1406C22×C4C2512yes—
1407C22×C4C2514yes—
1408C22×C4C2511yescharacteristic
1409C22×C4C2512yes—
1410C22×C4C2514yes—
1411C22×C4C2511yescharacteristic
1412C22×C4C2512yes—
1413C22×C4C2512yes—
1414C22×C4C2511yescharacteristic
1415C22×C4C2511yescharacteristic
1416C22×C4C2511yescharacteristic
1417C22×C4C2511yescharacteristic
1418C4⋊C4—22no—
1419C4⋊C4—22no—
1420C4⋊C4—24no—
1421C4⋊C4—28no—
1422C4⋊C4—24no—
1423C4⋊C4—24no—
1424C4⋊C4—24no—
1425C4⋊C4—22no—
1426C4⋊C4—28no—
1427C4⋊C4—28no—
1428C4⋊C4—24no—
1429C4⋊C4—24no—
1430C4⋊C4—24no—
1431C4⋊C4—28no—
1432C4⋊C4—24no—
1433C4⋊C4—24no—
1434C4⋊C4—24no—
1435C4⋊C4—22no—
1436C4⋊C4—24no—
1437C4⋊C4—28no—
1438C4⋊C4—28no—
1439C4⋊C4—28no—
1440C4⋊C4—24no—
1441C4⋊C4—28no—
1442C4⋊C4—28no—
1443C4⋊C4—24no—
1444C4⋊C4—24no—
1445C4⋊C4—28no—
1446C4⋊C4—24no—
1447C4⋊C4—28no—
1448C4⋊C4—24no—
1449C4⋊C4—28no—
1450C4⋊C4—22no—
1451C4⋊C4—22no—
1452C4⋊C4—24no—
1453C4⋊C4—22no—
1454C4⋊C4—24no—
1455C4⋊C4—24no—
1456C4⋊C4—22no—
1457C4⋊C4—22no—
1458C4⋊C4—22no—
1459C4⋊C4—24no—
1460C4⋊C4—42no—
1461C4⋊C4—44no—
1462C4⋊C4—42no—
1463C4⋊C4—42no—
1464C4⋊C4—42no—
1465C4⋊C4—44no—
1466C4⋊C4—41no—
1467C4⋊C4—42no—
1468C4⋊C4—42no—
1469C4⋊C4—44no—
1470C4⋊C4—42no—
1471C4⋊C4—44no—
1472C4⋊C4—42no—
1473C4⋊C4—44no—
1474C4⋊C4—44no—
1475C4⋊C4—44no—
1476C4⋊C4—44no—
1477C4⋊C4—44no—
1478C4⋊C4—42no—
1479C4⋊C4—44no—
1480C4⋊C4—44no—
1481C4⋊C4—44no—
1482C4⋊C4—44no—
1483C4⋊C4—44no—
1484C4⋊C4—44no—
1485C4⋊C4—44no—
1486C4⋊C4C22×D414yes—
1487C4⋊C4C22×D414yes—
1488C4⋊C4C22×D418yes—
1489C4⋊C4C22×D4116yes—
1490C4⋊C4C22×D418yes—
1491C4⋊C4C22×D418yes—
1492C4⋊C4C22×D4116yes—
1493C22⋊C4—24no—
1494C22⋊C4—24no—
1495C22⋊C4—24no—
1496C22⋊C4—24no—
1497C22⋊C4—28no—
1498C22⋊C4—28no—
1499C22⋊C4—22no—
1500C22⋊C4—24no—
1501C22⋊C4—24no—
1502C22⋊C4—28no—
1503C22⋊C4—28no—
1504C22⋊C4—28no—
1505C22⋊C4—24no—
1506C22⋊C4—24no—
1507C22⋊C4—24no—
1508C22⋊C4—28no—
1509C22⋊C4—24no—
1510C22⋊C4—24no—
1511C22⋊C4—28no—
1512C22⋊C4—24no—
1513C22⋊C4—28no—
1514C22⋊C4—28no—
1515C22⋊C4—24no—
1516C22⋊C4—22no—
1517C22⋊C4—24no—
1518C22⋊C4—24no—
1519C22⋊C4—24no—
1520C22⋊C4—42no—
1521C22⋊C4—42no—
1522C22⋊C4—42no—
1523C22⋊C4—42no—
1524C22⋊C4—42no—
1525C22⋊C4—42no—
1526C22⋊C4—42no—
1527C22⋊C4—44no—
1528C22⋊C4—44no—
1529C22⋊C4—42no—
1530C22⋊C4—42no—
1531C22⋊C4—42no—
1532C22⋊C4—42no—
1533C22⋊C4—41no—
1534C22⋊C4—41no—
1535C22⋊C4—41no—
1536C22⋊C4—41no—
1537C22⋊C4—42no—
1538C22⋊C4—42no—
1539C22⋊C4—42no—
1540C22⋊C4—42no—
1541C22⋊C4—44no—
1542C22⋊C4—44no—
1543C22⋊C4—44no—
1544C22⋊C4—44no—
1545C22⋊C4—42no—
1546C22⋊C4—44no—
1547C22⋊C4—44no—
1548C22⋊C4—42no—
1549C22⋊C4—42no—
1550C22⋊C4—44no—
1551C22⋊C4—44no—
1552C22⋊C4—44no—
1553C22⋊C4—42no—
1554C22⋊C4—42no—
1555C22⋊C4—44no—
1556C22⋊C4C22×D418yes—
1557C22⋊C4C22×D4116yes—
1558C42—24no—
1559C42—22no—
1560C42—28no—
1561C42—28no—
1562C42—22no—
1563C42—24no—
1564C42—28no—
1565C42—22no—
1566C42—22no—
1567C42—22no—
1568C42—22no—
1569C42—28no—
1570C42—24no—
1571C42—24no—
1572C42—28no—
1573C42—28no—
1574C42—28no—
1575C42—22no—
1576C42—22no—
1577C42—24no—
1578C42—28no—
1579C42—22no—
1580C42—24no—
1581C42—22no—
1582C42—22no—
1583C42—41no—
1584C42—44no—
1585C42—44no—
1586C42—44no—
1587C42C22×D414yes—
1588C42C22×D418yes—
1589C23—21no—
1590C23—22no—
1591C23—22no—
1592C23—22no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—22no—
1598C23—22no—
1599C23—21no—
1600C23—22no—
1601C23—21no—
1602C23—22no—
1603C23—22no—
1604C23—21no—
1605C23—22no—
1606C23—22no—
1607C23—22no—
1608C23—22no—
1609C23—21no—
1610C23—22no—
1611C23—22no—
1612C23—22no—
1613C23—21no—
1614C23—22no—
1615C23—22no—
1616C23—22no—
1617C23—21no—
1618C23—21no—
1619C23—22no—
1620C23—22no—
1621C23—21no—
1622C23—48no—
1623C23—48no—
1624C23—84no—
1625C23—84no—
1626C23—84no—
1627C23—84no—
1628C23—84no—
1629C23C23×D414yes—
1630C23C2×2−1+412yes—
1631C23C2611yescharacteristic
1632Q8—28no—
1633Q8—48no—
1634Q8—44no—
1635Q8—48no—
1636Q8—48no—
1637Q8—44no—
1638Q8—84no—
1639Q8—88no—
1640D4—28no—
1641D4—44no—
1642D4—48no—
1643D4—48no—
1644D4—416no—
1645D4—44no—
1646D4—44no—
1647D4—88no—
1648D4—84no—
1649D4—84no—
1650D4—84no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—24no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—22no—
1664C2×C4—24no—
1665C2×C4—28no—
1666C2×C4—216no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—22no—
1670C2×C4—22no—
1671C2×C4—24no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—22no—
1676C2×C4—24no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—22no—
1682C2×C4—21no—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—24no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—22no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—22no—
1698C2×C4—22no—
1699C2×C4—24no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—21no—
1703C2×C4—22no—
1704C2×C4—22no—
1705C2×C4—24no—
1706C2×C4—22no—
1707C2×C4—22no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—24no—
1711C2×C4—21no—
1712C2×C4—24no—
1713C2×C4—21no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—22no—
1717C2×C4—21no—
1718C2×C4—24no—
1719C2×C4—22no—
1720C2×C4—21no—
1721C2×C4—24no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—22no—
1725C2×C4—21no—
1726C2×C4—22no—
1727C2×C4—22no—
1728C2×C4—22no—
1729C2×C4—21no—
1730C2×C4—416no—
1731C2×C4—48no—
1732C2×C4—48no—
1733C2×C4—48no—
1734C2×C4—48no—
1735C2×C4—416no—
1736C2×C4—44no—
1737C2×C4—44no—
1738C2×C4—48no—
1739C2×C4—44no—
1740C2×C4—48no—
1741C2×C4—84no—
1742C2×C4—82no—
1743C2×C4—82no—
1744C2×C4C23×D418yes—
1745C2×C4C23×D414yes—
1746C2×C4C23×D414yes—
1747C2×C4C23×D412yes—
1748C2×C4C23×D414yes—
1749C2×C4C23×D412yes—
1750C2×C4C23×D412yes—
1751C2×C4C2×2−1+412yes—
1752C2×C4C2×2−1+412yes—
1753C2×C4#58512yes—
1754C2×C4#58512yes—
1755C2×C4#58512yes—
1756C2×C4#58512yes—
1757C22—24no—
1758C22—22no—
1759C22—24no—
1760C22—22no—
1761C22—24no—
1762C22—22no—
1763C22—41no—
1764C22—42no—
1765C22—42no—
1766C22—41no—
1767C22—41no—
1768C22—42no—
1769C22—41no—
1770C22—42no—
1771C22—42no—
1772C22—41no—
1773C22—42no—
1774C22—41no—
1775C22—42no—
1776C22—42no—
1777C22—41no—
1778C22—42no—
1779C22—42no—
1780C22—42no—
1781C22—41no—
1782C22—42no—
1783C22—42no—
1784C22—42no—
1785C22—41no—
1786C22—41no—
1787C22—42no—
1788C22—42no—
1789C22—41no—
1790C22—42no—
1791C22—42no—
1792C22—816no—
1793C22C24×D411yescharacteristic
1794C22C22×2−1+411yescharacteristic
1795C22C2×#58511yescharacteristic
1796C22C2×#58511yescharacteristic
1797C22C2×#58511yescharacteristic
1798C22C2×#58511yescharacteristic
1799C222−1+611yescharacteristic
1800C4—24no—
1801C4—28no—
1802C4—22no—
1803C4—22no—
1804C4—22no—
1805C4—24no—
1806C4—24no—
1807C4—41no—
1808C4—41no—
1809C4—42no—
1810C4—42no—
1811C4—42no—
1812C4—41no—
1813C4—44no—
1814C4—42no—
1815C4—41no—
1816C4—42no—
1817C4—41no—
1818C4—44no—
1819C4—42no—
1820C4—44no—
1821C4—41no—
1822C4—42no—
1823C4—42no—
1824C4—42no—
1825C4—41no—
1826C4—42no—
1827C4—41no—
1828C4#348714yes—
1829C4#348914yes—
1830C2—44no—
1831C2—42no—
1832C2—81no—
1833C2—82no—
1834C2—82no—
1835C2#6275211yescharacteristic
1836C2C2×#348711yescharacteristic
1837C2C2×#348911yescharacteristic
1838C2#6293611yescharacteristic
1839C2#6295911yescharacteristic
1840C2#6298811yescharacteristic
1841C2#6303111yescharacteristic
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×#3555C2semidirect
2. C2×#3475C2semidirect
3. #59659C2semidirect
4. #59082C2semidirect
5. #59081C2semidirect
6. #59050C2semidirect
7. #59017C2semidirect
8. #51579C2semidirect
9. #51528C2semidirect
10. #45767C2semidirect
11. #45300C2semidirect
12. #45261C2semidirect
13. #45238C2semidirect
14. #45217C2semidirect
15. #42680C2semidirect
16. #42674C2semidirect
17. #42443C2semidirect
18. #42437C2semidirect
19. #39744C2semidirect
20. #39727C2semidirect
21. #39488C2semidirect
22. #38920C2semidirect
23. #37799C2semidirect
24. #37774C2semidirect
25. #37671C2semidirect
26. #36445C2semidirect
27. #36427C2semidirect
28. #36405C2semidirect
29. #36161C2semidirect
30. #36134C2semidirect
31. #35155C2semidirect
32. #35151C2semidirect
33. #34720C2semidirect
34. #34700C2semidirect
35. #34484C2semidirect
37. C2×#563C22semidirect
38. C2×Q82C22semidirect
39. C2×#557C22semidirect
40. C2×#557C22semidirect
45. C2×#556C22semidirect
51. C2×#552C22semidirect
55. C2×#544C22semidirect
57. C2×#541C22semidirect
58. C2×#541C22semidirect
59. C2×#541C22semidirect
61. C2×#533C22semidirect
62. C2×#533C22semidirect
71. #2868C22semidirect
73. #2857C22semidirect
74. #2857C22semidirect
75. #2855C22semidirect
76. #2855C22semidirect
77. #2853C22semidirect
81. #2731C22semidirect
82. #2730C22semidirect
84. #2727C22semidirect
85. #2727C22semidirect
86. #2725C22semidirect
87. #2725C22semidirect
88. #2721C22semidirect
89. #2721C22semidirect
90. #2721C22semidirect
91. #2721C22semidirect
92. #2721C22semidirect
93. #2719C22semidirect
97. #2718C22semidirect
98. #2718C22semidirect
99. #2718C22semidirect
100. #2716C22semidirect
103. #2707C22semidirect
104. #2706C22semidirect
105. #2705C22semidirect
106. #2702C22semidirect
108. #2694C22semidirect
112. #2674C22semidirect
115. #2638C22semidirect
116. #2630C22semidirect
120. #2624C22semidirect
123. #2620C22semidirect
125. #2582C22semidirect
126. #2568C22semidirect
128. #2552C22semidirect
129. #2552C22semidirect
130. #2550C22semidirect
132. #2546C22semidirect
133. #2546C22semidirect
135. #2545C22semidirect
138. #2542C22semidirect
139. #2542C22semidirect
144. #2538C22semidirect
145. #2536C22semidirect
146. #2519C22semidirect
147. #2502C22semidirect
148. #2500C22semidirect
151. #2491C22semidirect
152. #2490C22semidirect
153. #2489C22semidirect
154. #2487C22semidirect
156. #2485C22semidirect
161. #2479C22semidirect
162. #2478C22semidirect
163. #2478C22semidirect
164. #2478C22semidirect
165. #2477C22semidirect
167. #2475C22semidirect
168. #2475C22semidirect
169. #2474C22semidirect
170. #2469C22semidirect
172. #2468C22semidirect
173. #2468C22semidirect
174. #2467C22semidirect
176. #2466C22semidirect
179. #2460C22semidirect
180. #2459C22semidirect
185. #2454C22semidirect
186. #2454C22semidirect
187. #2453C22semidirect
188. #2453C22semidirect
189. #2452C22semidirect
190. #2451C22semidirect
191. #2448C22semidirect
194. #2446C22semidirect
195. #2446C22semidirect
200. #2441C22semidirect
201. #2441C22semidirect
202. #2441C22semidirect
203. #2441C22semidirect
204. #2441C22semidirect
205. #2441C22semidirect
209. #2439C22semidirect
210. #2439C22semidirect
211. #2439C22semidirect
212. #2439C22semidirect
221. #2429C22semidirect
222. #2429C22semidirect
223. #2429C22semidirect
224. #2429C22semidirect
226. #2427C22semidirect
229. #2426C22semidirect
231. #2423C22semidirect
232. #2423C22semidirect
233. #2423C22semidirect
234. #2421C22semidirect
240. #2415C22semidirect
241. #2415C22semidirect
242. #2415C22semidirect
243. #2414C22semidirect
244. #2414C22semidirect
253. #2378C22semidirect
254. #2370C22semidirect
255. #2369C22semidirect
257. #2367C22semidirect
258. #2365C22semidirect
259. #2365C22semidirect
261. #2362C22semidirect
262. #2362C22semidirect
263. #2362C22semidirect
264. #2362C22semidirect
269. #2354C22semidirect
270. Q8×C4⋊C4C22semidirect
271. Q8×C4⋊C4C22semidirect
272. Q8×C4⋊C4C22semidirect
273. #2344C22semidirect
275. #2330C22semidirect
276. #2327C22semidirect
277. #2323C22semidirect
278. #2323C22semidirect
279. #2323C22semidirect
281. #2317C22semidirect
282. #2317C22semidirect
283. #2316C22semidirect
284. C4×C4⋊Q8C22semidirect
286. C4×#124C22semidirect
289. C4×C22⋊Q8C22semidirect
290. C4×C22⋊Q8C22semidirect
292. C4×#121C22semidirect
294. #2296C22semidirect
295. #2295C22semidirect
297. #2290C22semidirect
314. #554D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35552
C2×#34752
#596592
#590822
#590812
#590502
#590172
#515792
#515282
#457672
#453002
#452612
#452382
#452172
#426802
#426742
#424432
#424372
#397442
#397272
#394882
#389202
#377992
#377742
#376712
#364452
#364272
#364052
#361612
#361342
#351552
#351512
#347202
#347002
#344842