Finite Group Databasebeta

← #7987197

Subgroups — #7987197

Order 512.

6702 conjugacy classes of subgroups.

The subgroup lattice has 1853 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#59418C211yesmaximal, characteristic, complemented
4#59069C212yesmaximal, complemented
5#59067C211yesmaximal, characteristic, complemented
6#59034C211yesmaximal, characteristic, complemented
7#59022C212yesmaximal, complemented
8#51412C214yesmaximal, complemented
9#50888C214yesmaximal, complemented
10#46131C214yesmaximal, complemented
11#45264C212yesmaximal, complemented
12#45185C212yesmaximal, complemented
13#45084C212yesmaximal, complemented
14#45079C212yesmaximal, complemented
15#42928C212yesmaximal, complemented
16#42914C212yesmaximal, complemented
17#42888C212yesmaximal, complemented
18#42803C212yesmaximal, complemented
19#39617C211yesmaximal, characteristic, complemented
20#39598C211yesmaximal, characteristic, complemented
21#39489C211yesmaximal, characteristic, complemented
22#38922C211yesmaximal, characteristic, complemented
23#37819C214yesmaximal, complemented
24#37766C212yesmaximal, complemented
25#37671C212yesmaximal, complemented
26#36456C211yesmaximal, characteristic, complemented
27#36445C212yesmaximal, complemented
28#36439C212yesmaximal, complemented
29#36154C211yesmaximal, characteristic, complemented
30#36134C211yesmaximal, characteristic, complemented
31#35253C212yesmaximal, complemented
32#35205C212yesmaximal, complemented
33#34720C211yesmaximal, characteristic, complemented
34#34700C211yesmaximal, characteristic, complemented
35#34481C211yesmaximal, characteristic, complemented
36#3555—216no—
37C2×#563C2214yescomplemented
38C2×Q82C2211yescharacteristic, complemented
39C2×#557C2211yescharacteristic, complemented
40C2×#557C2212yescomplemented
41#3475—216no—
42C2×#556C2212yes—
43C2×#556C2211yescharacteristic
44C2×#556C2212yescomplemented
45C2×#555C2211yescharacteristic
46C2×#554C2211yescharacteristic
47C2×#554C2211yescharacteristic
48C2×#553C2212yes—
49C2×#552C2212yes—
50C2×#552C2212yes—
51C2×#552C2212yescomplemented
52C2×#551C2214yes—
53C2×#547C2211yescharacteristic
54C2×#546C2212yes—
55C2×#544C2212yescomplemented
56C2×#542C2212yes—
57C2×#541C2212yescomplemented
58C2×#541C2212yescomplemented
59C2×#541C2214yescomplemented
60C2×#533C2211yescharacteristic
61C2×#533C2211yescharacteristic, complemented
62C2×#533C2211yescharacteristic, complemented
63C2×#529C2211yescharacteristic
64C2×#529C2214yes—
65C2×#529C2212yes—
66C2×#525C2212yes—
67C2×C4×#41C2212yes—
68C2×C4×#41C2211yescharacteristic
69C22×C4×D4C2211yescharacteristic
70C22×#117C2212yes—
71#2868C2211yescharacteristic, complemented
72#2857C2211yescharacteristic
73#2857C2211yescharacteristic, complemented
74#2857C2214yescomplemented
75#2857C2212yescomplemented
76#2852C2214yescomplemented
77#2851C2214yescomplemented
78#2848C2212yes—
79#2823C2214yescomplemented
80#2821C2214yescomplemented
81#2726C2214yescomplemented
82#2725C2214yescomplemented
83#2722C2214yescomplemented
84#2720C2214yes—
85#2719C2214yescomplemented
86#2719C2214yescomplemented
87#2718C2214yescomplemented
88#2715C2214yescomplemented
89#2707C2214yes—
90#2707C2214yescomplemented
91#2706C2214yes—
92#2705C2214yes—
93#2704C2214yescomplemented
94#2696C2214yescomplemented
95#2695C2214yes—
96#2695C2214yescomplemented
97#2694C2214yes—
98#2694C2214yes—
99#2691C2214yes—
100#2685C2214yes—
101#2685C2214yes—
102#2683C2214yescomplemented
103#2681C2214yes—
104#2681C2214yes—
105#2680C2214yescomplemented
106#2680C2214yescomplemented
107#2677C2214yescomplemented
108#2677C2214yescomplemented
109#2676C2214yes—
110#2674C2214yescomplemented
111#2674C2214yescomplemented
112#2672C2214yescomplemented
113#2672C2214yescomplemented
114#2664C2214yescomplemented
115#2660C2212yescomplemented
116#2637C2214yescomplemented
117#2636C2214yescomplemented
118#2633C2214yescomplemented
119#2629C2214yes—
120#2629C2212yescomplemented
121#2628C2214yes—
122#2624C2212yescomplemented
123#2620C2212yescomplemented
124#2601C2214yes—
125#2599C2214yes—
126#2584C2212yescomplemented
127#2567C2211yescharacteristic, complemented
128#2567C2211yescharacteristic, complemented
129#2565C2212yescomplemented
130#2563C2212yes—
131#2563C2211yescharacteristic
132#2563C2211yescharacteristic, complemented
133#2558C2214yescomplemented
134#2553C2214yes—
135#2552C2212yescomplemented
136#2552C2212yescomplemented
137#2542C2212yes—
138#2542C2212yes—
139#2542C2214yescomplemented
140#2539C2214yes—
141#2538C2212yes—
142#2538C2211yescharacteristic
143#2538C2212yes—
144#2538C2212yes—
145#2538C2211yescharacteristic, complemented
146#2538C2214yescomplemented
147#2538C2212yescomplemented
148#2537C2212yes—
149#2536C2212yescomplemented
150#2501C2212yescomplemented
151#2499C2212yescomplemented
152#2496C2214yescomplemented
153#2490C2212yescomplemented
154#2490C2212yescomplemented
155#2487C2212yes—
156#2485C2212yescomplemented
157#2480C2214yes—
158#2480C2212yes—
159#2479C2214yescomplemented
160#2478C2214yescomplemented
161#2478C2214yescomplemented
162#2477C2212yescomplemented
163#2475C2214yescomplemented
164#2475C2212yescomplemented
165#2474C2214yescomplemented
166#2472C2214yes—
167#2470C2214yes—
168#2468C2212yes—
169#2468C2214yescomplemented
170#2467C2214yescomplemented
171#2466C2214yescomplemented
172#2463C2212yes—
173#2462C2214yescomplemented
174#2460C2212yes—
175#2460C2214yescomplemented
176#2458C2214yescomplemented
177#2457C2212yes—
178#2454C2212yes—
179#2454C2211yescharacteristic
180#2454C2214yescomplemented
181#2454C2214yescomplemented
182#2453C2212yescomplemented
183#2452C2214yes—
184#2452C2212yescomplemented
185#2452C2211yescharacteristic, complemented
186#2450C2214yes—
187#2447C2211yescharacteristic
188#2446C2211yescharacteristic, complemented
189#2446C2212yescomplemented
190#2442C2212yes—
191#2442C2211yescharacteristic
192#2442C2212yescomplemented
193#2442C2212yescomplemented
194#2441C2212yes—
195#2441C2212yes—
196#2441C2212yescomplemented
197#2441C2212yescomplemented
198#2441C2212yescomplemented
199#2441C2212yescomplemented
200#2441C2214yescomplemented
201#2441C2214yescomplemented
202#2440C2212yescomplemented
203#2440C2212yescomplemented
204#2440C2212yescomplemented
205#2439C2212yes—
206#2439C2211yescharacteristic
207#2439C2214yescomplemented
208#2438C2214yescomplemented
209#2438C2214yescomplemented
210#2437C2214yes—
211#2437C2214yes—
212#2437C2214yes—
213#2435C2211yescharacteristic
214#2432C2212yes—
215#2432C2211yescharacteristic
216#2429C2212yes—
217#2429C2212yes—
218#2429C2212yescomplemented
219#2429C2212yescomplemented
220#2429C2212yescomplemented
221#2427C2212yes—
222#2427C2211yescharacteristic
223#2427C2211yescharacteristic, complemented
224#2426C2212yescomplemented
225#2425C2214yescomplemented
226#2423C2212yes—
227#2423C2212yes—
228#2423C2212yescomplemented
229#2423C2212yescomplemented
230#2423C2212yescomplemented
231#2422C2212yes—
232#2422C2212yes—
233#2421C2212yescomplemented
234#2421C2212yescomplemented
235#2421C2211yescharacteristic, complemented
236#2420C2211yescharacteristic
237#2418C2212yes—
238#2417C2211yescharacteristic
239#2417C2212yes—
240#2417C2212yescomplemented
241#2416C2212yescomplemented
242#2415C2211yescharacteristic
243#2415C2212yescomplemented
244#2414C2212yescomplemented
245#2411C2214yes—
246#2408C2211yescharacteristic
247#2407C2212yes—
248#2407C2211yescharacteristic
249#2398C2212yes—
250#2395C2212yes—
251#2392C2212yes—
252#2392C2212yes—
253#2383C2214yescomplemented
254#2367C2212yes—
255#2365C2212yescomplemented
256#2365C2211yescharacteristic, complemented
257#2362C2212yes—
258#2360C2212yescomplemented
259#2360C2212yescomplemented
260#2359C2214yescomplemented
261#2354C2212yes—
262#2352C2212yescomplemented
263#2351C2212yescomplemented
264Q8×C4⋊C4C2212yescomplemented
265Q8×C4⋊C4C2212yescomplemented
266Q8×C4⋊C4C2212yescomplemented
267Q8×C4⋊C4C2211yescharacteristic, complemented
268#2349C2212yes—
269D4×C4⋊C4C2211yescharacteristic
270#2347C2212yescomplemented
271#2341C2212yes—
272#2341C2212yes—
273#2341C2212yes—
274D4×C22⋊C4C2212yes—
275#2334C2214yescomplemented
276#2326C2212yes—
277#2326C2212yes—
278#2324C2212yes—
279#2323C2212yescomplemented
280#2320C2212yescomplemented
281#2317C2212yescomplemented
282#2317C2212yescomplemented
283#2316C2212yescomplemented
284C4×C4⋊Q8C2211yescharacteristic, complemented
285C4×#124C2211yescharacteristic
286C4×#124C2211yescharacteristic, complemented
287C4×C22⋊Q8C2211yescharacteristic
288C4×C22⋊Q8C2211yescharacteristic
289C4×C22⋊Q8C2214yescomplemented
290C4×C22⋊Q8C2212yescomplemented
291C4×C22⋊Q8C2212yescomplemented
292C4×#121C2211yescharacteristic
293C4×#121C2211yescharacteristic, complemented
294C4×#120C2212yes—
295#2295C2211yescharacteristic, complemented
296#2293C2211yescharacteristic
297#2290C2212yescomplemented
298#2280C2212yes—
299C2×#380C2212yes—
300C42×D4C2211yescharacteristic
301C22×#41C2311yescharacteristic
302C22×#41C2312yes—
303C23×D4C2311yescharacteristic
304C24×C4C2312yes—
305#563—232no—
306Q82—28no—
307#557—28no—
308#557—216no—
309#556—216no—
310#556—216no—
311#556D4116yescomplemented
312#555—28no—
313#554—28no—
314#554—28no—
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—232no—
325#541—216no—
326#541—216no—
327#533—28no—
328#533—28no—
329#533—28no—
330C2×C4⋊Q8C2311yescharacteristic
331C2×C4⋊Q8C2312yes—
332C2×C4⋊Q8C2314yes—
333C2×C4⋊Q8C2311yescharacteristic
334C2×C4⋊Q8C2311yescharacteristic
335C2×C4⋊Q8C2311yescharacteristic
336C2×C4⋊Q8C2314yes—
337C2×C4⋊Q8C2312yes—
338C2×C4⋊Q8C2312yes—
339C2×C4⋊Q8C2312yes—
340C2×C4⋊Q8C2312yes—
341C2×C4⋊Q8C2311yescharacteristic
342#529—232no—
343#529—216no—
344#529—28no—
345C2×#126C2314yes—
346C2×#126C2314yes—
347C2×#126C2312yes—
348C2×#126C2314yes—
349C2×#126C2314yes—
350C2×#126C2314yes—
351C2×#126C2314yes—
352C2×#126C2314yes—
353C2×#126C2314yes—
354C2×#125C2312yes—
355C2×#125C2314yes—
356C2×#125C2311yescharacteristic
357C2×#125C2314yes—
358C2×#125C2312yes—
359C2×#125C2312yes—
360C2×#125C2312yes—
361C2×#125C2314yes—
362C2×#125C2314yes—
363C2×#125C2314yes—
364C2×#125C2312yes—
365C2×#125C2314yes—
366C2×#125C2312yes—
367C2×#124C2311yescharacteristic
368C2×#124C2314yes—
369C2×#124C2311yescharacteristic
370C2×#124C2314yes—
371C2×#124C2311yescharacteristic
372C2×#124C2312yes—
373#525—216no—
374C2×#123C2314yes—
375C2×#123C2312yes—
376C2×#123C2314yes—
377C2×#123C2314yes—
378C2×#123C2314yes—
379C2×#123C2314yes—
380C2×#123C2314yes—
381C2×#123C2314yes—
382C2×C22⋊Q8C2311yescharacteristic
383C2×C22⋊Q8C2312yes—
384C2×C22⋊Q8C2311yescharacteristic
385C2×C22⋊Q8C2312yes—
386C2×C22⋊Q8C2312yes—
387C2×C22⋊Q8C2311yescharacteristic
388C2×C22⋊Q8C2311yescharacteristic
389C2×C22⋊Q8C2312yes—
390C2×C22⋊Q8C2314yes—
391C2×C22⋊Q8C2314yes—
392C2×C22⋊Q8C2312yes—
393C2×C22⋊Q8C2312yes—
394C2×C22⋊Q8C2312yes—
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2314yes—
397C2×C22⋊Q8C2314yes—
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2312yes—
400C2×C22⋊Q8C2311yescharacteristic
401C2×C22⋊Q8C2314yes—
402C2×C22⋊Q8C2312yes—
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2314yes—
406C2×C22⋊Q8C2314yes—
407C2×C22⋊Q8C2314yes—
408C2×C22⋊Q8C2312yes—
409C2×#121C2311yescharacteristic
410C2×#121C2312yes—
411C2×#121C2311yescharacteristic
412C2×#121C2312yes—
413C2×#121C2314yes—
414C2×#121C2312yes—
415C2×#121C2311yescharacteristic
416C2×#121C2314yes—
417C2×#120C2314yes—
418C2×#120C2312yes—
419C4×#41—216no—
420C4×#41—28no—
421C2×C4×Q8C2312yes—
422C2×C4×Q8C2311yescharacteristic
423C2×C4×Q8C2311yescharacteristic
424C2×C4×Q8C2312yes—
425C2×C4×Q8C2312yes—
426C2×C4×Q8C2312yes—
427C2×C4×Q8C2312yes—
428C2×C4×Q8C2314yes—
429C2×C4×Q8C2312yes—
430C2×C4×Q8C2311yescharacteristic
431C2×C4×Q8C2312yes—
432C2×C4×Q8C2312yes—
433C2×C4×Q8C2312yes—
434C2×C4×Q8C2312yes—
435C2×C4×Q8C2312yes—
436C2×C4×Q8C2312yes—
437C2×C4×Q8C2312yes—
438C2×C4×Q8C2311yescharacteristic
439C2×C4×D4—28no—
440C2×C4×D4C2312yes—
441C2×C4×D4C2311yescharacteristic
442C2×C4×D4C2311yescharacteristic
443C2×C4×D4C2312yes—
444C2×C4×D4C2312yes—
445C2×C4×D4C2311yescharacteristic
446C2×C4×D4C2311yescharacteristic
447C2×C4×D4C2314yes—
448C2×C4×D4C2314yes—
449C2×C4×D4C2312yes—
450C2×C4×D4C2312yes—
451C2×C4×D4C2311yescharacteristic
452C2×C4×D4C2312yes—
453C2×C4×D4C2314yes—
454C2×C4×D4C2311yescharacteristic
455C2×C4×D4C2312yes—
456C2×C4×D4C2312yes—
457C2×C4×D4C2312yes—
458C2×C4×D4C2311yescharacteristic
459C2×C4×D4C2312yes—
460C2×C4×D4C2311yescharacteristic
461C2×C4×D4C2311yescharacteristic
462C2×#117—216no—
463C2×#117C2312yes—
464C2×#117C2312yes—
465C2×#117C2312yes—
466C2×#117C2314yes—
467C2×#117C2312yes—
468C2×#117C2312yes—
469C2×#117C2314yes—
470C2×#117C2311yescharacteristic
471C2×#117C2314yes—
472C2×#117C2312yes—
473C2×#117C2312yes—
474C2×#117C2314yes—
475C2×#117C2312yes—
476C2×#117C2312yes—
477C22×C4⋊C4C2312yes—
478C22×C4⋊C4C2312yes—
479C22×C4⋊C4C2312yes—
480C22×C4⋊C4C2311yescharacteristic
481C22×C4⋊C4C2312yes—
482C22×C22⋊C4C2314yes—
483C22×C22⋊C4C2312yes—
484C22×C22⋊C4C2314yes—
485C22×C42C2314yes—
486C22×C42C2311yescharacteristic
487C22×C42C2312yes—
488C22×C42C2311yescharacteristic
489#400C2312yes—
490#400C2314yes—
491#400C2314yes—
492#400C2314yes—
493#400C2314yes—
494#400C2312yes—
495#400C2312yes—
496#399C2314yes—
497#399C2314yes—
498#399C2314yes—
499#399C2314yes—
500#399C2314yes—
501#399C2314yes—
502#399C2312yes—
503#399C2314yes—
504#399C2314yes—
505#399C2314yes—
506#398C2314yes—
507#398C2314yes—
508#398C2314yes—
509#398C2314yes—
510#398C2314yes—
511#398C2314yes—
512#398C2314yes—
513#398C2314yes—
514#398C2314yes—
515#398C2314yes—
516#398C2314yes—
517#398C2314yes—
518#398C2314yes—
519#398C2312yes—
520#398C2312yes—
521#398C2312yes—
522#398C2314yes—
523#398C2314yes—
524#397C2314yes—
525#397C2314yes—
526#397C2312yes—
527#397C2314yes—
528#397C2312yes—
529#397C2312yes—
530#397C2312yes—
531#397C2312yes—
532#397C2312yes—
533#397C2312yes—
534#397C2314yes—
535#397C2314yes—
536#397C2314yes—
537#396C2312yes—
538#396C2314yes—
539#396C2314yes—
540#396C2314yes—
541#396C2314yes—
542#396C2314yes—
543#396C2314yes—
544#396C2314yes—
545#396C2312yes—
546#396C2314yes—
547#396C2314yes—
548#396C2314yes—
549#396C2314yes—
550#396C2314yes—
551#396C2312yes—
552#396C2312yes—
553#396C2314yes—
554#396C2314yes—
555#396C2314yes—
556#396C2314yes—
557#395C2314yes—
558#395C2314yes—
559#395C2314yes—
560#395C2314yes—
561#395C2314yes—
562#394C2312yes—
563#394C2314yes—
564#394C2314yes—
565#394C2312yes—
566#394C2314yes—
567#394C2314yes—
568#394C2314yes—
569#394C2314yes—
570#394C2314yes—
571#394C2314yes—
572#394C2312yes—
573#394C2314yes—
574#394C2312yes—
575#394C2312yes—
576#394C2312yes—
577#394C2312yes—
578#394C2312yes—
579#394C2312yes—
580#394C2312yes—
581#394C2314yes—
582#393C2314yes—
583#393C2314yes—
584#393C2314yes—
585#393C2314yes—
586#393C2312yes—
587#393C2312yes—
588#392C2314yes—
589#392C2312yes—
590#392C2312yes—
591#391C2312yes—
592#391C2311yescharacteristic
593#391C2312yes—
594#391C2312yes—
595#391C2312yes—
596#391C2311yescharacteristic
597#391C2312yes—
598#391C2312yes—
599#391C2314yes—
600#391C2312yes—
601#391C2311yescharacteristic
602#391C2311yescharacteristic
603#391C2311yescharacteristic
604#391C2311yescharacteristic
605#390C2312yes—
606#390C2314yes—
607#390C2312yes—
608#390C2312yes—
609#390C2314yes—
610#390C2311yescharacteristic
611#390C2311yescharacteristic
612#390C2311yescharacteristic
613#390C2312yes—
614#390C2314yes—
615#390C2314yes—
616#390C2314yes—
617#390C2314yes—
618#390C2314yes—
619#390C2314yes—
620#390C2311yescharacteristic
621#390C2311yescharacteristic
622#390C2311yescharacteristic
623#389C2312yes—
624#389C2312yes—
625#389C2312yes—
626#389C2312yes—
627#389C2312yes—
628#389C2312yes—
629#389C2311yescharacteristic
630#389C2314yes—
631#389C2312yes—
632#389C2314yes—
633#389C2312yes—
634#389C2311yescharacteristic
635#389C2314yes—
636#389C2314yes—
637#389C2312yes—
638#389C2312yes—
639#389C2311yescharacteristic
640#389C2312yes—
641#389C2314yes—
642#389C2311yescharacteristic
643#389C2312yes—
644#389C2312yes—
645#389C2314yes—
646#389C2314yes—
647#389C2314yes—
648#389C2314yes—
649#389C2314yes—
650#389C2312yes—
651#389C2312yes—
652#389C2311yescharacteristic
653#389C2314yes—
654#389C2314yes—
655#389C2314yes—
656#389C2311yescharacteristic
657#389C2311yescharacteristic
658#389C2314yes—
659#389C2314yes—
660#389C2314yes—
661#389C2314yes—
662#389C2314yes—
663#389C2312yes—
664#389C2311yescharacteristic
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2312yes—
672#388C2314yes—
673#388C2312yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2314yes—
681#388C2314yes—
682#388C2314yes—
683#388C2312yes—
684#388C2314yes—
685#388C2312yes—
686#388C2312yes—
687#388C2312yes—
688#388C2312yes—
689#388C2312yes—
690#388C2312yes—
691#388C2312yes—
692#387C2314yes—
693#387C2314yes—
694#387C2314yes—
695#387C2314yes—
696#387C2312yes—
697#387C2314yes—
698#387C2312yes—
699#387C2314yes—
700#387C2314yes—
701#387C2314yes—
702#387C2314yes—
703#387C2314yes—
704#387C2314yes—
705#387C2314yes—
706#387C2314yes—
707#387C2314yes—
708#387C2314yes—
709#387C2314yes—
710#387C2312yes—
711#387C2312yes—
712#387C2312yes—
713#387C2312yes—
714#387C2312yes—
715#387C2312yes—
716#386C2314yes—
717#386C2314yes—
718#386C2314yes—
719#386C2312yes—
720#386C2314yes—
721#386C2312yes—
722#386C2314yes—
723#386C2312yes—
724#386C2312yes—
725#386C2312yes—
726#386C2312yes—
727#386C2312yes—
728#385C2314yes—
729#385C2314yes—
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#385C2314yes—
735#385C2314yes—
736#385C2314yes—
737#385C2314yes—
738#385C2314yes—
739#385C2314yes—
740#385C2314yes—
741#385C2314yes—
742#385C2314yes—
743#385C2312yes—
744#385C2314yes—
745#385C2312yes—
746#385C2312yes—
747#385C2312yes—
748#385C2314yes—
749#385C2312yes—
750#385C2312yes—
751#385C2312yes—
752#385C2312yes—
753#385C2312yes—
754#384C2311yescharacteristic
755#384C2312yes—
756#384C2312yes—
757#384C2312yes—
758#384C2314yes—
759#384C2312yes—
760#384C2312yes—
761#384C2312yes—
762#384C2314yes—
763#384C2314yes—
764#384C2312yes—
765#383C2314yes—
766#382C2312yes—
767#382C2314yes—
768#382C2312yes—
769#382C2311yescharacteristic
770#382C2314yes—
771#382C2311yescharacteristic
772#381C2312yes—
773#381C2312yes—
774#380C2311yescharacteristic
775#380C2312yes—
776#380C2312yes—
777#380C2312yes—
778#380C2312yes—
779#380C2312yes—
780#380C2312yes—
781#380C2314yes—
782#380C2314yes—
783#380C2312yes—
784#380C2312yes—
785#380C2312yes—
786#380C2312yes—
787#380C2314yes—
788#380C2314yes—
789#380C2314yes—
790#380C2314yes—
791#380C2312yes—
792#380C2312yes—
793#380C2314yes—
794#380C2311yescharacteristic
795#380C2312yes—
796#380C2314yes—
797#380C2312yes—
798#380C2311yescharacteristic
799#380C2311yescharacteristic
800#380C2314yes—
801#380C2312yes—
802#380C2312yes—
803#379C2314yes—
804#379C2312yes—
805#379C2312yes—
806#379C2312yes—
807C4×C4⋊C4C2312yes—
808C4×C4⋊C4C2312yes—
809C4×C4⋊C4C2311yescharacteristic
810C4×C4⋊C4C2312yes—
811C4×C4⋊C4C2311yescharacteristic
812C4×C4⋊C4C2312yes—
813C4×C4⋊C4C2312yes—
814C4×C4⋊C4C2314yes—
815C4×C4⋊C4C2312yes—
816C4×C4⋊C4C2311yescharacteristic
817C4×C4⋊C4C2314yes—
818C4×C4⋊C4C2314yes—
819C4×C4⋊C4C2312yes—
820C4×C4⋊C4C2314yes—
821C4×C4⋊C4C2311yescharacteristic
822C4×C4⋊C4C2311yescharacteristic
823C4×C22⋊C4C2314yes—
824C4×C22⋊C4C2312yes—
825C4×C22⋊C4C2314yes—
826C4×C22⋊C4C2314yes—
827C4×C22⋊C4C2314yes—
828C4×C22⋊C4C2312yes—
829C4×C22⋊C4C2312yes—
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2312yes—
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2311yescharacteristic
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2311yescharacteristic
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2311yescharacteristic
839C4×C22⋊C4C2311yescharacteristic
840C4×C22⋊C4C2311yescharacteristic
841C4×C22⋊C4C2311yescharacteristic
842#376C2312yes—
843C2×#95C2314yes—
844C43C2311yescharacteristic
845C25C2412yes—
846C2×#41—24no—
847C2×#41—28no—
848C2×#41—28no—
849C2×#41—24no—
850C2×#41—42no—
851C2×#41—44no—
852C22×Q8C2411yescharacteristic
853C22×Q8C2411yescharacteristic
854C22×Q8C2411yescharacteristic
855C22×Q8C2412yes—
856C22×Q8C2412yes—
857C22×Q8C2412yes—
858C22×Q8C2414yes—
859C22×Q8C2412yes—
860C22×D4—24no—
861C22×D4—24no—
862C22×D4—42no—
863C22×D4C2411yescharacteristic
864C22×D4C2411yescharacteristic
865C22×D4C2412yes—
866C22×D4C2414yes—
867C22×D4C2412yes—
868C22×D4C2411yescharacteristic
869C22×D4C2411yescharacteristic
870C22×D4C2414yes—
871C22×D4C2412yes—
872C22×D4C2412yes—
873C22×D4C2412yes—
874C23×C4—28no—
875C23×C4—28no—
876C23×C4—44no—
877C23×C4C2412yes—
878C23×C4C2411yescharacteristic
879C23×C4C2411yescharacteristic
880C23×C4C2411yescharacteristic
881C23×C4C2412yes—
882C23×C4C2412yes—
883C23×C4C2414yes—
884C23×C4C2412yes—
885C23×C4C2412yes—
886C23×C4C2412yes—
887C23×C4C2412yes—
888C23×C4C2411yescharacteristic
889C23×C4C2411yescharacteristic
890C23×C4C2414yes—
891C23×C4C2414yes—
892C23×C4C2412yes—
893C23×C4C2411yescharacteristic
894C23×C4C2414yes—
895C4⋊Q8—24no—
896C4⋊Q8—28no—
897C4⋊Q8—24no—
898C4⋊Q8—216no—
899C4⋊Q8—28no—
900C4⋊Q8—24no—
901C4⋊Q8—24no—
902C4⋊Q8—28no—
903C4⋊Q8—216no—
904C4⋊Q8—44no—
905C4⋊Q8—82no—
906C4⋊Q8C2×D418yes—
907#126—216no—
908#126—28no—
909#126—216no—
910#126—216no—
911#126—216no—
912#126—216no—
913#126—216no—
914#126—216no—
915#126C2×D4132yes—
916#125—216no—
917#125—24no—
918#125—28no—
919#125—28no—
920#125—28no—
921#125—216no—
922#125—216no—
923#125—28no—
924#125—216no—
925#125—216no—
926#125—28no—
927#125—28no—
928#125—216no—
929#124—24no—
930#124—24no—
931#124—216no—
932#124—216no—
933#124—42no—
934#124C2×D4116yes—
935#123—216no—
936#123—216no—
937#123—216no—
938#123—216no—
939#123—28no—
940#123—216no—
941#123—48no—
942#123—84no—
943C22⋊Q8—28no—
944C22⋊Q8—28no—
945C22⋊Q8—28no—
946C22⋊Q8—28no—
947C22⋊Q8—24no—
948C22⋊Q8—28no—
949C22⋊Q8—24no—
950C22⋊Q8—24no—
951C22⋊Q8—216no—
952C22⋊Q8—28no—
953C22⋊Q8—24no—
954C22⋊Q8—28no—
955C22⋊Q8—28no—
956C22⋊Q8—216no—
957C22⋊Q8—216no—
958C22⋊Q8—216no—
959C22⋊Q8—48no—
960C22⋊Q8—44no—
961C22⋊Q8—44no—
962C22⋊Q8—44no—
963C22⋊Q8—42no—
964C22⋊Q8—82no—
965C22⋊Q8—84no—
966C22⋊Q8—84no—
967C22⋊Q8—82no—
968C22⋊Q8—84no—
969C22⋊Q8C2×D4116yes—
970#121—24no—
971#121—28no—
972#121—24no—
973#121—28no—
974#121—28no—
975#121—216no—
976#121—42no—
977#121—84no—
978#120—216no—
979#120—44no—
980C4×Q8—28no—
981C4×Q8—24no—
982C4×Q8—28no—
983C4×Q8—28no—
984C4×Q8—28no—
985C4×Q8—28no—
986C4×Q8—28no—
987C4×Q8—28no—
988C4×Q8—24no—
989C4×Q8—24no—
990C4×Q8—28no—
991C4×Q8—216no—
992C4×Q8—28no—
993C4×Q8—44no—
994C4×Q8—44no—
995C4×Q8—44no—
996C4×Q8C2×D418yes—
997C4×Q8C2×D4116yes—
998C4×D4—24no—
999C4×D4—28no—
1000C4×D4—28no—
1001C4×D4—28no—
1002C4×D4—24no—
1003C4×D4—24no—
1004C4×D4—216no—
1005C4×D4—28no—
1006C4×D4—24no—
1007C4×D4—28no—
1008C4×D4—216no—
1009C4×D4—24no—
1010C4×D4—28no—
1011C4×D4—28no—
1012C4×D4—24no—
1013C4×D4—216no—
1014C4×D4—44no—
1015C4×D4—42no—
1016C4×D4—44no—
1017C4×D4—44no—
1018C4×D4—42no—
1019C4×D4C2×D418yes—
1020#117—28no—
1021#117—28no—
1022#117—24no—
1023#117—28no—
1024#117—28no—
1025#117—216no—
1026#117—28no—
1027#117—28no—
1028#117—216no—
1029#117—216no—
1030#117—216no—
1031#117—28no—
1032#117—44no—
1033#117C2×D4116yes—
1034C2×C4⋊C4—28no—
1035C2×C4⋊C4—28no—
1036C2×C4⋊C4—28no—
1037C2×C4⋊C4—24no—
1038C2×C4⋊C4—44no—
1039C2×C4⋊C4C2411yescharacteristic
1040C2×C4⋊C4C2411yescharacteristic
1041C2×C4⋊C4C2411yescharacteristic
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2411yescharacteristic
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2414yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2414yes—
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2414yes—
1063C2×C4⋊C4C2411yescharacteristic
1064C2×C4⋊C4C2411yescharacteristic
1065C2×C4⋊C4C2411yescharacteristic
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2411yescharacteristic
1068C2×C4⋊C4C2414yes—
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2414yes—
1071C2×C4⋊C4C2414yes—
1072C2×C4⋊C4C2414yes—
1073C2×C4⋊C4C2414yes—
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2414yes—
1076C2×C4⋊C4C2414yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2414yes—
1079C2×C4⋊C4C2411yescharacteristic
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2414yes—
1082C2×C4⋊C4C2411yescharacteristic
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2414yes—
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2411yescharacteristic
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2414yes—
1091C2×C4⋊C4C2414yes—
1092C2×C4⋊C4C2414yes—
1093C2×C4⋊C4C2414yes—
1094C2×C4⋊C4C2412yes—
1095C2×C4⋊C4C2414yes—
1096C2×C4⋊C4C2414yes—
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2414yes—
1100C2×C4⋊C4C2414yes—
1101C2×C4⋊C4C2414yes—
1102C2×C4⋊C4C2414yes—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2414yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2414yes—
1107C2×C4⋊C4C2414yes—
1108C2×C4⋊C4C2414yes—
1109C2×C4⋊C4C2414yes—
1110C2×C4⋊C4C2411yescharacteristic
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2411yescharacteristic
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2414yes—
1115C2×C4⋊C4C2412yes—
1116C2×C22⋊C4—216no—
1117C2×C22⋊C4—28no—
1118C2×C22⋊C4—84no—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2411yescharacteristic
1139C2×C22⋊C4C2411yescharacteristic
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2412yes—
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2411yescharacteristic
1154C2×C22⋊C4C2411yescharacteristic
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2411yescharacteristic
1157C2×C22⋊C4C2411yescharacteristic
1158C2×C22⋊C4C2414yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2414yes—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2414yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2414yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2414yes—
1182C2×C42—216no—
1183C2×C42—24no—
1184C2×C42—28no—
1185C2×C42—24no—
1186C2×C42C2414yes—
1187C2×C42C2412yes—
1188C2×C42C2411yescharacteristic
1189C2×C42C2414yes—
1190C2×C42C2412yes—
1191C2×C42C2414yes—
1192C2×C42C2411yescharacteristic
1193C2×C42C2411yescharacteristic
1194C2×C42C2412yes—
1195C2×C42C2412yes—
1196C2×C42C2412yes—
1197C2×C42C2414yes—
1198C2×C42C2411yescharacteristic
1199C2×C42C2411yescharacteristic
1200C2×C42C2412yes—
1201C2×C42C2411yescharacteristic
1202C2×C42C2411yescharacteristic
1203C2×C42C2411yescharacteristic
1204C2×C42C2411yescharacteristic
1205C2×C42C2414yes—
1206C2×C42C2411yescharacteristic
1207C2×C42C2411yescharacteristic
1208C2×C42C2414yes—
1209C2×C42C2414yes—
1210C2×C42C2414yes—
1211C2×C42C2411yescharacteristic
1212C2×C42C2414yes—
1213C2×C42C2412yes—
1214C2×C42C2411yescharacteristic
1215#95C2412yes—
1216#95C2414yes—
1217#95C2414yes—
1218#95C2414yes—
1219#95C2412yes—
1220#95C2412yes—
1221#95C2412yes—
1222#95C2412yes—
1223#95C2412yes—
1224#95C2412yes—
1225#95C2412yes—
1226#95C2411yescharacteristic
1227#95C2411yescharacteristic
1228#95C2411yescharacteristic
1229#95C2411yescharacteristic
1230#95C2412yes—
1231#95C2411yescharacteristic
1232#95C2411yescharacteristic
1233#95C2412yes—
1234#95C2412yes—
1235#95C2412yes—
1236#95C2414yes—
1237#95C2412yes—
1238#95C2412yes—
1239#95C2414yes—
1240#95C2412yes—
1241#95C2412yes—
1242#95C2412yes—
1243#95C2412yes—
1244#95C2414yes—
1245#95C2412yes—
1246#95C2412yes—
1247#95C2412yes—
1248#95C2412yes—
1249#95C2412yes—
1250#95C2412yes—
1251#95C2412yes—
1252#95C2412yes—
1253#95C2414yes—
1254#95C2414yes—
1255#95C2412yes—
1256#95C2414yes—
1257#95C2414yes—
1258#95C2414yes—
1259#95C2414yes—
1260#95C2414yes—
1261#95C2414yes—
1262#95C2412yes—
1263#95C2412yes—
1264#95C2412yes—
1265#95C2414yes—
1266#95C2414yes—
1267#95C2414yes—
1268#95C2414yes—
1269#95C2414yes—
1270#95C2414yes—
1271C24—24no—
1272C24—24no—
1273C24—24no—
1274C24—42no—
1275C24—42no—
1276C24—42no—
1277C24—42no—
1278C24C2511yescharacteristic
1279C24C2512yes—
1280C24C2512yes—
1281C24C2511yescharacteristic
1282C24C2512yes—
1283#41—416no—
1284#41—432no—
1285C2×Q8—22no—
1286C2×Q8—22no—
1287C2×Q8—24no—
1288C2×Q8—24no—
1289C2×Q8—24no—
1290C2×Q8—28no—
1291C2×Q8—22no—
1292C2×Q8—24no—
1293C2×Q8—22no—
1294C2×Q8—22no—
1295C2×Q8—22no—
1296C2×Q8—24no—
1297C2×Q8—22no—
1298C2×Q8—22no—
1299C2×Q8—44no—
1300C2×Q8—42no—
1301C2×Q8—42no—
1302C2×Q8—44no—
1303C2×Q8—42no—
1304C2×Q8—42no—
1305C2×Q8—42no—
1306C2×Q8—42no—
1307C2×Q8C22×D414yes—
1308C2×Q8C22×D418yes—
1309C2×D4—24no—
1310C2×D4—22no—
1311C2×D4—24no—
1312C2×D4—24no—
1313C2×D4—28no—
1314C2×D4—28no—
1315C2×D4—24no—
1316C2×D4—24no—
1317C2×D4—22no—
1318C2×D4—24no—
1319C2×D4—28no—
1320C2×D4—22no—
1321C2×D4—22no—
1322C2×D4—22no—
1323C2×D4—22no—
1324C2×D4—22no—
1325C2×D4—22no—
1326C2×D4—22no—
1327C2×D4—41no—
1328C2×D4—42no—
1329C2×D4—42no—
1330C2×D4—44no—
1331C2×D4—42no—
1332C2×D4—42no—
1333C2×D4—42no—
1334C2×D4—42no—
1335C2×D4—42no—
1336C2×D4—42no—
1337C2×D4—42no—
1338C2×D4—44no—
1339C2×D4—44no—
1340C2×D4—416no—
1341C2×D4C22×D414yes—
1342C2×D42−1+414yes—
1343C22×C4—22no—
1344C22×C4—24no—
1345C22×C4—24no—
1346C22×C4—22no—
1347C22×C4—24no—
1348C22×C4—24no—
1349C22×C4—28no—
1350C22×C4—28no—
1351C22×C4—24no—
1352C22×C4—28no—
1353C22×C4—22no—
1354C22×C4—22no—
1355C22×C4—22no—
1356C22×C4—24no—
1357C22×C4—24no—
1358C22×C4—24no—
1359C22×C4—24no—
1360C22×C4—22no—
1361C22×C4—22no—
1362C22×C4—24no—
1363C22×C4—24no—
1364C22×C4—24no—
1365C22×C4—22no—
1366C22×C4—24no—
1367C22×C4—24no—
1368C22×C4—22no—
1369C22×C4—22no—
1370C22×C4—24no—
1371C22×C4—22no—
1372C22×C4—24no—
1373C22×C4—22no—
1374C22×C4—28no—
1375C22×C4—24no—
1376C22×C4—22no—
1377C22×C4—42no—
1378C22×C4—42no—
1379C22×C4—42no—
1380C22×C4—42no—
1381C22×C4—44no—
1382C22×C4—432no—
1383C22×C4—44no—
1384C22×C4—41no—
1385C22×C4—41no—
1386C22×C4—42no—
1387C22×C4—44no—
1388C22×C4—41no—
1389C22×C4—41no—
1390C22×C4—44no—
1391C22×C4—42no—
1392C22×C4—44no—
1393C22×C4—44no—
1394C22×C4—44no—
1395C22×C4—44no—
1396C22×C4C22×D418yes—
1397C22×C42−1+414yes—
1398C22×C4C2511yescharacteristic
1399C22×C4C2512yes—
1400C22×C4C2511yescharacteristic
1401C22×C4C2512yes—
1402C22×C4C2512yes—
1403C22×C4C2512yes—
1404C22×C4C2511yescharacteristic
1405C22×C4C2512yes—
1406C22×C4C2514yes—
1407C22×C4C2511yescharacteristic
1408C22×C4C2511yescharacteristic
1409C22×C4C2512yes—
1410C22×C4C2512yes—
1411C22×C4C2512yes—
1412C22×C4C2511yescharacteristic
1413C22×C4C2511yescharacteristic
1414C22×C4C2512yes—
1415C22×C4C2511yescharacteristic
1416C22×C4C2514yes—
1417C22×C4C2514yes—
1418C22×C4C2512yes—
1419C22×C4C2512yes—
1420C22×C4C2514yes—
1421C22×C4C2511yescharacteristic
1422C22×C4C2512yes—
1423C22×C4C2512yes—
1424C22×C4C2511yescharacteristic
1425C22×C4C2511yescharacteristic
1426C22×C4C2511yescharacteristic
1427C22×C4C2511yescharacteristic
1428C4⋊C4—22no—
1429C4⋊C4—22no—
1430C4⋊C4—24no—
1431C4⋊C4—28no—
1432C4⋊C4—28no—
1433C4⋊C4—24no—
1434C4⋊C4—22no—
1435C4⋊C4—24no—
1436C4⋊C4—28no—
1437C4⋊C4—24no—
1438C4⋊C4—24no—
1439C4⋊C4—28no—
1440C4⋊C4—24no—
1441C4⋊C4—24no—
1442C4⋊C4—24no—
1443C4⋊C4—28no—
1444C4⋊C4—24no—
1445C4⋊C4—24no—
1446C4⋊C4—24no—
1447C4⋊C4—24no—
1448C4⋊C4—28no—
1449C4⋊C4—22no—
1450C4⋊C4—24no—
1451C4⋊C4—28no—
1452C4⋊C4—24no—
1453C4⋊C4—28no—
1454C4⋊C4—28no—
1455C4⋊C4—28no—
1456C4⋊C4—28no—
1457C4⋊C4—24no—
1458C4⋊C4—28no—
1459C4⋊C4—24no—
1460C4⋊C4—28no—
1461C4⋊C4—28no—
1462C4⋊C4—22no—
1463C4⋊C4—22no—
1464C4⋊C4—22no—
1465C4⋊C4—24no—
1466C4⋊C4—22no—
1467C4⋊C4—24no—
1468C4⋊C4—24no—
1469C4⋊C4—22no—
1470C4⋊C4—22no—
1471C4⋊C4—24no—
1472C4⋊C4—28no—
1473C4⋊C4—44no—
1474C4⋊C4—42no—
1475C4⋊C4—42no—
1476C4⋊C4—41no—
1477C4⋊C4—42no—
1478C4⋊C4—42no—
1479C4⋊C4—44no—
1480C4⋊C4—44no—
1481C4⋊C4—44no—
1482C4⋊C4—44no—
1483C4⋊C4—42no—
1484C4⋊C4—44no—
1485C4⋊C4—44no—
1486C4⋊C4—44no—
1487C4⋊C4—42no—
1488C4⋊C4—42no—
1489C4⋊C4—42no—
1490C4⋊C4—44no—
1491C4⋊C4—42no—
1492C4⋊C4—44no—
1493C4⋊C4—44no—
1494C4⋊C4—44no—
1495C4⋊C4—44no—
1496C4⋊C4—44no—
1497C4⋊C4—44no—
1498C4⋊C4—44no—
1499C4⋊C4C22×D414yes—
1500C4⋊C4C22×D418yes—
1501C4⋊C4C22×D414yes—
1502C4⋊C4C22×D418yes—
1503C4⋊C4C22×D4116yes—
1504C4⋊C4C22×D418yes—
1505C22⋊C4—28no—
1506C22⋊C4—24no—
1507C22⋊C4—24no—
1508C22⋊C4—24no—
1509C22⋊C4—24no—
1510C22⋊C4—28no—
1511C22⋊C4—22no—
1512C22⋊C4—24no—
1513C22⋊C4—24no—
1514C22⋊C4—24no—
1515C22⋊C4—24no—
1516C22⋊C4—24no—
1517C22⋊C4—24no—
1518C22⋊C4—28no—
1519C22⋊C4—24no—
1520C22⋊C4—28no—
1521C22⋊C4—24no—
1522C22⋊C4—28no—
1523C22⋊C4—24no—
1524C22⋊C4—24no—
1525C22⋊C4—28no—
1526C22⋊C4—24no—
1527C22⋊C4—28no—
1528C22⋊C4—24no—
1529C22⋊C4—22no—
1530C22⋊C4—24no—
1531C22⋊C4—24no—
1532C22⋊C4—24no—
1533C22⋊C4—42no—
1534C22⋊C4—44no—
1535C22⋊C4—44no—
1536C22⋊C4—44no—
1537C22⋊C4—42no—
1538C22⋊C4—42no—
1539C22⋊C4—44no—
1540C22⋊C4—42no—
1541C22⋊C4—42no—
1542C22⋊C4—42no—
1543C22⋊C4—42no—
1544C22⋊C4—41no—
1545C22⋊C4—41no—
1546C22⋊C4—41no—
1547C22⋊C4—41no—
1548C22⋊C4—42no—
1549C22⋊C4—42no—
1550C22⋊C4—44no—
1551C22⋊C4—44no—
1552C22⋊C4—42no—
1553C22⋊C4—44no—
1554C22⋊C4—44no—
1555C22⋊C4—42no—
1556C22⋊C4—44no—
1557C22⋊C4—42no—
1558C22⋊C4—42no—
1559C22⋊C4—44no—
1560C22⋊C4—44no—
1561C22⋊C4—42no—
1562C22⋊C4—42no—
1563C22⋊C4—42no—
1564C22⋊C4—42no—
1565C22⋊C4C22×D4116yes—
1566C22⋊C4C22×D418yes—
1567C22⋊C4C22×D4116yes—
1568C42—24no—
1569C42—22no—
1570C42—28no—
1571C42—28no—
1572C42—22no—
1573C42—24no—
1574C42—22no—
1575C42—22no—
1576C42—22no—
1577C42—22no—
1578C42—28no—
1579C42—24no—
1580C42—24no—
1581C42—28no—
1582C42—28no—
1583C42—22no—
1584C42—22no—
1585C42—22no—
1586C42—24no—
1587C42—24no—
1588C42—22no—
1589C42—22no—
1590C42—44no—
1591C42—44no—
1592C42—44no—
1593C42—41no—
1594C42C22×D414yes—
1595C42C22×D4116yes—
1596C42C22×D418yes—
1597C23—21no—
1598C23—22no—
1599C23—22no—
1600C23—22no—
1601C23—21no—
1602C23—22no—
1603C23—22no—
1604C23—22no—
1605C23—22no—
1606C23—21no—
1607C23—21no—
1608C23—22no—
1609C23—22no—
1610C23—21no—
1611C23—22no—
1612C23—22no—
1613C23—21no—
1614C23—22no—
1615C23—21no—
1616C23—22no—
1617C23—21no—
1618C23—22no—
1619C23—21no—
1620C23—22no—
1621C23—22no—
1622C23—21no—
1623C23—22no—
1624C23—22no—
1625C23—21no—
1626C23—21no—
1627C23—22no—
1628C23—21no—
1629C23—48no—
1630C23—48no—
1631C23—48no—
1632C23—84no—
1633C23—84no—
1634C23—84no—
1635C23—84no—
1636C23C23×D414yes—
1637C23C2×2−1+412yes—
1638C23C2×2−1+414yes—
1639C23C2611yescharacteristic
1640Q8—28no—
1641Q8—216no—
1642Q8—44no—
1643Q8—44no—
1644Q8—84no—
1645Q8—88no—
1646Q8—84no—
1647Q8—84no—
1648D4—28no—
1649D4—28no—
1650D4—44no—
1651D4—48no—
1652D4—416no—
1653D4—48no—
1654D4—44no—
1655D4—88no—
1656D4—84no—
1657D4—84no—
1658D4—84no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—24no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—24no—
1667C2×C4—22no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—22no—
1673C2×C4—28no—
1674C2×C4—216no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—22no—
1681C2×C4—24no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—24no—
1686C2×C4—22no—
1687C2×C4—22no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—22no—
1693C2×C4—22no—
1694C2×C4—21no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—22no—
1698C2×C4—22no—
1699C2×C4—21no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—22no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—22no—
1708C2×C4—22no—
1709C2×C4—24no—
1710C2×C4—24no—
1711C2×C4—22no—
1712C2×C4—22no—
1713C2×C4—22no—
1714C2×C4—21no—
1715C2×C4—22no—
1716C2×C4—22no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—22no—
1720C2×C4—24no—
1721C2×C4—21no—
1722C2×C4—22no—
1723C2×C4—22no—
1724C2×C4—22no—
1725C2×C4—21no—
1726C2×C4—24no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—22no—
1730C2×C4—24no—
1731C2×C4—22no—
1732C2×C4—22no—
1733C2×C4—24no—
1734C2×C4—22no—
1735C2×C4—21no—
1736C2×C4—24no—
1737C2×C4—21no—
1738C2×C4—48no—
1739C2×C4—48no—
1740C2×C4—48no—
1741C2×C4—48no—
1742C2×C4—416no—
1743C2×C4—44no—
1744C2×C4—44no—
1745C2×C4—48no—
1746C2×C4—44no—
1747C2×C4—48no—
1748C2×C4—84no—
1749C2×C4—88no—
1750C2×C4—82no—
1751C2×C4—82no—
1752C2×C4—88no—
1753C2×C4—164no—
1754C2×C4C23×D418yes—
1755C2×C4C23×D414yes—
1756C2×C4C23×D414yes—
1757C2×C4C23×D412yes—
1758C2×C4C23×D414yes—
1759C2×C4C23×D412yes—
1760C2×C4C23×D412yes—
1761C2×C4C2×2−1+412yes—
1762C2×C4C2×2−1+412yes—
1763C2×C4C2×2−1+412yes—
1764C2×C4#58512yes—
1765C2×C4#58512yes—
1766C2×C4#58512yes—
1767C22—24no—
1768C22—22no—
1769C22—24no—
1770C22—22no—
1771C22—24no—
1772C22—24no—
1773C22—24no—
1774C22—22no—
1775C22—24no—
1776C22—42no—
1777C22—41no—
1778C22—42no—
1779C22—42no—
1780C22—42no—
1781C22—41no—
1782C22—42no—
1783C22—41no—
1784C22—42no—
1785C22—42no—
1786C22—41no—
1787C22—42no—
1788C22—41no—
1789C22—42no—
1790C22—41no—
1791C22—42no—
1792C22—41no—
1793C22—42no—
1794C22—42no—
1795C22—42no—
1796C22—41no—
1797C22—41no—
1798C22—41no—
1799C22—42no—
1800C22—41no—
1801C22—42no—
1802C22—816no—
1803C22C24×D411yescharacteristic
1804C22C22×2−1+411yescharacteristic
1805C22C22×2−1+411yescharacteristic
1806C22C2×#58511yescharacteristic
1807C22C2×#58511yescharacteristic
1808C22C2×#58511yescharacteristic
1809C22H(7,𝔽2)11yescharacteristic
1810C4—24no—
1811C4—22no—
1812C4—22no—
1813C4—22no—
1814C4—24no—
1815C4—24no—
1816C4—28no—
1817C4—41no—
1818C4—42no—
1819C4—44no—
1820C4—41no—
1821C4—44no—
1822C4—42no—
1823C4—42no—
1824C4—41no—
1825C4—42no—
1826C4—41no—
1827C4—41no—
1828C4—42no—
1829C4—42no—
1830C4—41no—
1831C4—42no—
1832C4—42no—
1833C4—41no—
1834C4—42no—
1835C4—44no—
1836C4—42no—
1837C4—41no—
1838C4#348914yes—
1839C4#348914yes—
1840C2—44no—
1841C2—44no—
1842C2—42no—
1843C2—81no—
1844C2—82no—
1845C2#6275211yescharacteristic
1846C2C2×#348911yescharacteristic
1847C2C2×#348911yescharacteristic
1848C2#6293711yescharacteristic
1849C2#6294511yescharacteristic
1850C2#6300311yescharacteristic
1851C2#6302511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3555C2semidirect
2. C2×#3475C2semidirect
3. #59418C2semidirect
4. #59069C2semidirect
5. #59067C2semidirect
6. #59034C2semidirect
7. #59022C2semidirect
8. #51412C2semidirect
9. #50888C2semidirect
10. #46131C2semidirect
11. #45264C2semidirect
12. #45185C2semidirect
13. #45084C2semidirect
14. #45079C2semidirect
15. #42928C2semidirect
16. #42914C2semidirect
17. #42888C2semidirect
18. #42803C2semidirect
19. #39617C2semidirect
20. #39598C2semidirect
21. #39489C2semidirect
22. #38922C2semidirect
23. #37819C2semidirect
24. #37766C2semidirect
25. #37671C2semidirect
26. #36456C2semidirect
27. #36445C2semidirect
28. #36439C2semidirect
29. #36154C2semidirect
30. #36134C2semidirect
31. #35253C2semidirect
32. #35205C2semidirect
33. #34720C2semidirect
34. #34700C2semidirect
35. #34481C2semidirect
37. C2×#563C22semidirect
38. C2×Q82C22semidirect
39. C2×#557C22semidirect
40. C2×#557C22semidirect
44. 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. #2857C22semidirect
76. #2852C22semidirect
77. #2851C22semidirect
79. #2823C22semidirect
80. #2821C22semidirect
81. #2726C22semidirect
82. #2725C22semidirect
83. #2722C22semidirect
85. #2719C22semidirect
86. #2719C22semidirect
87. #2718C22semidirect
88. #2715C22semidirect
90. #2707C22semidirect
93. #2704C22semidirect
94. #2696C22semidirect
96. #2695C22semidirect
102. #2683C22semidirect
105. #2680C22semidirect
106. #2680C22semidirect
107. #2677C22semidirect
108. #2677C22semidirect
110. #2674C22semidirect
111. #2674C22semidirect
112. #2672C22semidirect
113. #2672C22semidirect
114. #2664C22semidirect
115. #2660C22semidirect
116. #2637C22semidirect
117. #2636C22semidirect
118. #2633C22semidirect
120. #2629C22semidirect
122. #2624C22semidirect
123. #2620C22semidirect
126. #2584C22semidirect
127. #2567C22semidirect
128. #2567C22semidirect
129. #2565C22semidirect
132. #2563C22semidirect
133. #2558C22semidirect
135. #2552C22semidirect
136. #2552C22semidirect
139. #2542C22semidirect
145. #2538C22semidirect
146. #2538C22semidirect
147. #2538C22semidirect
149. #2536C22semidirect
150. #2501C22semidirect
151. #2499C22semidirect
152. #2496C22semidirect
153. #2490C22semidirect
154. #2490C22semidirect
156. #2485C22semidirect
159. #2479C22semidirect
160. #2478C22semidirect
161. #2478C22semidirect
162. #2477C22semidirect
163. #2475C22semidirect
164. #2475C22semidirect
165. #2474C22semidirect
169. #2468C22semidirect
170. #2467C22semidirect
171. #2466C22semidirect
173. #2462C22semidirect
175. #2460C22semidirect
176. #2458C22semidirect
180. #2454C22semidirect
181. #2454C22semidirect
182. #2453C22semidirect
184. #2452C22semidirect
185. #2452C22semidirect
188. #2446C22semidirect
189. #2446C22semidirect
192. #2442C22semidirect
193. #2442C22semidirect
196. #2441C22semidirect
197. #2441C22semidirect
198. #2441C22semidirect
199. #2441C22semidirect
200. #2441C22semidirect
201. #2441C22semidirect
202. #2440C22semidirect
203. #2440C22semidirect
204. #2440C22semidirect
207. #2439C22semidirect
208. #2438C22semidirect
209. #2438C22semidirect
218. #2429C22semidirect
219. #2429C22semidirect
220. #2429C22semidirect
223. #2427C22semidirect
224. #2426C22semidirect
225. #2425C22semidirect
228. #2423C22semidirect
229. #2423C22semidirect
230. #2423C22semidirect
233. #2421C22semidirect
234. #2421C22semidirect
235. #2421C22semidirect
240. #2417C22semidirect
241. #2416C22semidirect
243. #2415C22semidirect
244. #2414C22semidirect
253. #2383C22semidirect
255. #2365C22semidirect
256. #2365C22semidirect
258. #2360C22semidirect
259. #2360C22semidirect
260. #2359C22semidirect
262. #2352C22semidirect
263. #2351C22semidirect
264. Q8×C4⋊C4C22semidirect
265. Q8×C4⋊C4C22semidirect
266. Q8×C4⋊C4C22semidirect
267. Q8×C4⋊C4C22semidirect
270. #2347C22semidirect
275. #2334C22semidirect
279. #2323C22semidirect
280. #2320C22semidirect
281. #2317C22semidirect
282. #2317C22semidirect
283. #2316C22semidirect
284. C4×C4⋊Q8C22semidirect
286. C4×#124C22semidirect
289. C4×C22⋊Q8C22semidirect
290. C4×C22⋊Q8C22semidirect
291. C4×C22⋊Q8C22semidirect
293. C4×#121C22semidirect
295. #2295C22semidirect
297. #2290C22semidirect
311. #556D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35552
C2×#34752
#594182
#590692
#590672
#590342
#590222
#514122
#508882
#461312
#452642
#451852
#450842
#450792
#429282
#429142
#428882
#428032
#396172
#395982
#394892
#389222
#378192
#377662
#376712
#364562
#364452
#364392
#361542
#361342
#352532
#352052
#347202
#347002
#344812