Finite Group Databasebeta

← #7689489

Subgroups — #7689489

Order 512.

7102 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×#3520C211yesmaximal, characteristic, complemented
2C2×#3482C211yesmaximal, characteristic, complemented
3#59413C211yesmaximal, characteristic, complemented
4#59316C212yesmaximal, complemented
5#59181C214yesmaximal, complemented
6#59116C212yesmaximal, complemented
7#59103C212yesmaximal, complemented
8#59071C211yesmaximal, characteristic, complemented
9#59042C211yesmaximal, characteristic, complemented
10#59025C212yesmaximal, complemented
11#45134C212yesmaximal, complemented
12#45095C212yesmaximal, complemented
13#43536C214yesmaximal, complemented
14#43499C214yesmaximal, complemented
15#39956C212yesmaximal, complemented
16#39884C212yesmaximal, complemented
17#39360C211yesmaximal, characteristic, complemented
18#38911C211yesmaximal, characteristic, complemented
19#37812C214yesmaximal, complemented
20#37796C212yesmaximal, complemented
21#36547C212yesmaximal, complemented
22#36432C212yesmaximal, complemented
23#36405C211yesmaximal, characteristic, complemented
24#36404C211yesmaximal, characteristic, complemented
25#36188C211yesmaximal, characteristic, complemented
26#36161C211yesmaximal, characteristic, complemented
27#36134C211yesmaximal, characteristic, complemented
28#36130C212yesmaximal, complemented
29#35802C212yesmaximal, complemented
30#35773C212yesmaximal, complemented
31#34742C212yesmaximal, complemented
32#34724C211yesmaximal, characteristic, complemented
33#34316C211yesmaximal, characteristic, complemented
34#34266C212yesmaximal, complemented
35C4×#546C211yesmaximal, characteristic, complemented
36#3520—216no—
37#3482—216no—
38C2×#557C2211yescharacteristic, complemented
39C2×#556C2211yescharacteristic
40C2×#556C2211yescharacteristic
41C2×#556C2212yescomplemented
42C2×#554C2212yes—
43C2×#552C2212yes—
44C2×#552C2214yescomplemented
45C2×#552C2212yescomplemented
46C2×#551C2214yes—
47C2×D4×Q8C2211yescharacteristic
48C2×D4×Q8C2211yescharacteristic, complemented
49C2×#548C2212yes—
50C2×#548C2212yes—
51C2×#547C2211yescharacteristic
52C2×#547C2211yescharacteristic
53C2×#547C2212yescomplemented
54C2×#546C2212yes—
55C2×#546C2211yescharacteristic
56C2×#542C2212yes—
57C2×#539C2214yes—
58C2×#536C2212yes—
59C2×#533C2211yescharacteristic
60C2×#533C2212yescomplemented
61C2×#533C2211yescharacteristic, complemented
62C2×#529C2211yescharacteristic
63C2×#529C2212yes—
64C2×#529C2214yescomplemented
65C2×#525C2212yes—
66C22×C22⋊Q8C2212yes—
67C2×#520C2212yes—
68C2×C4×#41C2211yescharacteristic
69C2×C4×#41C2211yescharacteristic, complemented
70C2×C4×#41C2212yescomplemented
71C22×C4×Q8C2212yescomplemented
72C22×C4×D4C2211yescharacteristic
73#2868C2211yescharacteristic, complemented
74#2857C2211yescharacteristic
75#2857C2212yescomplemented
76#2857C2211yescharacteristic, complemented
77#2855C2212yescomplemented
78#2855C2212yescomplemented
79#2855C2214yescomplemented
80#2848C2212yes—
81#2724C2214yescomplemented
82#2722C2214yescomplemented
83#2719C2214yescomplemented
84#2717C2214yescomplemented
85#2708C2214yes—
86#2704C2214yescomplemented
87#2701C2214yescomplemented
88#2700C2214yescomplemented
89#2697C2214yes—
90#2690C2214yescomplemented
91#2689C2214yescomplemented
92#2689C2214yescomplemented
93#2689C2214yescomplemented
94#2687C2214yes—
95#2686C2214yescomplemented
96#2680C2214yes—
97#2680C2214yescomplemented
98#2680C2214yescomplemented
99#2678C2214yes—
100#2672C2214yes—
101#2671C2214yes—
102#2663C2214yescomplemented
103#2630C2214yescomplemented
104#2625C2212yescomplemented
105#2621C2212yescomplemented
106#2602C2214yes—
107#2602C2214yescomplemented
108#2583C2214yescomplemented
109#2582C2211yescharacteristic, complemented
110#2579C2214yes—
111#2568C2211yescharacteristic, complemented
112#2568C2211yescharacteristic, complemented
113#2560C2214yes—
114#2556C2214yes—
115#2556C2214yescomplemented
116#2553C2214yes—
117#2552C2212yescomplemented
118#2550C2212yescomplemented
119#2550C2212yescomplemented
120#2549C2214yescomplemented
121#2547C2212yes—
122#2547C2211yescharacteristic
123#2547C2212yes—
124#2546C2211yescharacteristic, complemented
125#2542C2212yes—
126#2538C2211yescharacteristic
127#2538C2212yes—
128#2536C2212yescomplemented
129#2521C2214yescomplemented
130#2519C2214yescomplemented
131#2506C2214yescomplemented
132#2499C2212yescomplemented
133#2499C2214yescomplemented
134#2499C2212yescomplemented
135#2496C2214yescomplemented
136#2496C2214yescomplemented
137#2492C2212yes—
138#2492C2212yescomplemented
139#2489C2212yes—
140#2485C2212yes—
141#2485C2214yescomplemented
142#2485C2212yescomplemented
143#2481C2214yescomplemented
144#2480C2214yes—
145#2480C2214yes—
146#2479C2214yescomplemented
147#2478C2214yescomplemented
148#2478C2214yescomplemented
149#2478C2212yescomplemented
150#2477C2214yescomplemented
151#2475C2214yes—
152#2475C2214yescomplemented
153#2473C2214yescomplemented
154#2472C2214yes—
155#2470C2212yes—
156#2470C2214yes—
157#2470C2214yescomplemented
158#2468C2214yescomplemented
159#2466C2214yes—
160#2466C2212yescomplemented
161#2465C2214yes—
162#2465C2214yes—
163#2462C2214yescomplemented
164#2462C2214yescomplemented
165#2457C2214yescomplemented
166#2455C2212yes—
167#2454C2212yes—
168#2453C2211yescharacteristic, complemented
169#2453C2212yescomplemented
170#2451C2212yescomplemented
171#2451C2212yescomplemented
172#2447C2212yes—
173#2447C2212yes—
174#2447C2214yescomplemented
175#2447C2212yescomplemented
176#2447C2214yescomplemented
177#2447C2211yescharacteristic, complemented
178#2446C2212yescomplemented
179#2441C2212yes—
180#2441C2212yescomplemented
181#2441C2211yescharacteristic, complemented
182#2440C2212yescomplemented
183#2440C2212yescomplemented
184#2438C2214yescomplemented
185#2437C2214yes—
186#2435C2212yes—
187#2434C2212yescomplemented
188#2434C2212yescomplemented
189#2432C2212yes—
190#2432C2212yes—
191#2432C2211yescharacteristic, complemented
192#2429C2211yescharacteristic
193#2429C2212yes—
194#2429C2212yes—
195#2429C2212yes—
196#2429C2212yescomplemented
197#2429C2212yescomplemented
198#2427C2212yes—
199#2423C2212yes—
200#2423C2212yescomplemented
201#2423C2212yescomplemented
202#2422C2214yes—
203#2422C2211yescharacteristic
204#2422C2212yescomplemented
205#2422C2212yescomplemented
206#2421C2212yes—
207#2421C2212yescomplemented
208#2420C2214yes—
209#2420C2212yes—
210#2420C2212yescomplemented
211#2419C2214yescomplemented
212#2419C2214yescomplemented
213#2418C2214yes—
214#2418C2214yes—
215#2415C2212yes—
216#2415C2211yescharacteristic
217#2415C2212yes—
218#2415C2212yescomplemented
219#2415C2212yescomplemented
220#2409C2212yes—
221#2409C2212yescomplemented
222#2407C2212yes—
223#2407C2211yescharacteristic
224#2407C2212yescomplemented
225#2395C2214yes—
226#2395C2212yescomplemented
227#2395C2214yescomplemented
228#2392C2212yes—
229#2374C2214yescomplemented
230#2367C2212yes—
231#2367C2212yes—
232#2367C2211yescharacteristic
233#2367C2212yes—
234#2365C2211yescharacteristic, complemented
235#2365C2212yescomplemented
236#2365C2212yescomplemented
237#2365C2212yescomplemented
238#2365C2212yescomplemented
239#2365C2212yescomplemented
240#2364C2212yes—
241#2363C2212yes—
242#2363C2211yescharacteristic
243#2362C2212yescomplemented
244#2362C2214yescomplemented
245#2362C2214yescomplemented
246#2362C2212yescomplemented
247#2360C2212yes—
248#2360C2211yescharacteristic
249#2360C2212yescomplemented
250#2360C2214yescomplemented
251#2360C2214yescomplemented
252#2359C2212yes—
253#2358C2212yes—
254#2354C2211yescharacteristic
255#2354C2212yes—
256#2354C2211yescharacteristic, complemented
257#2352C2211yescharacteristic
258#2352C2212yescomplemented
259#2351C2212yescomplemented
260Q8×C4⋊C4C2212yescomplemented
261#2349C2211yescharacteristic
262#2345C2212yescomplemented
263#2342C2212yes—
264#2342C2214yes—
265#2341C2212yescomplemented
266Q8×C22⋊C4C2212yescomplemented
267Q8×C22⋊C4C2212yescomplemented
268#2339C2211yescharacteristic
269D4×C22⋊C4C2211yescharacteristic
270#2335C2214yescomplemented
271#2324C2212yes—
272#2322C2214yescomplemented
273#2322C2214yescomplemented
274#2310C2212yescomplemented
275C4×C4⋊Q8C2211yescharacteristic, complemented
276C4×C4⋊Q8C2211yescharacteristic, complemented
277C4×#124C2211yescharacteristic
278C4×C22⋊Q8C2211yescharacteristic
279C4×C22⋊Q8C2211yescharacteristic
280C4×C22⋊Q8C2212yescomplemented
281C4×C22⋊Q8C2211yescharacteristic, complemented
282C4×#123C2214yes—
283C4×#123C2212yes—
284C4×#123C2212yes—
285C4×#123C2214yescomplemented
286C4×#123C2214yescomplemented
287C4×#121C2212yes—
288C4×#121C2211yescharacteristic
289C4×#120C2212yes—
290#2297C2212yes—
291#2297C2212yescomplemented
292#2296C2212yescomplemented
293#2296C2212yescomplemented
294#2293C2211yescharacteristic, complemented
295#2285C2212yescomplemented
296#2280C2212yes—
297#2274C2212yescomplemented
298C42×D4C2211yescharacteristic
299C42×D4C2211yescharacteristic
300C2×C4×C22⋊C4C2212yes—
301C22×#41C2311yescharacteristic
302C22×#41C2312yes—
303C22×#41C2311yescharacteristic
304C22×#41C2312yes—
305C23×Q8C2312yes—
306C23×Q8C2312yes—
307C23×D4C2311yescharacteristic
308C24×C4C2312yes—
309#557—28no—
310#556—216no—
311#556—28no—
312#556—28no—
313#554—216no—
314#552—232no—
315#552—216no—
316#552—216no—
317#551—232no—
318D4×Q8—28no—
319D4×Q8—28no—
320#548—216no—
321#548—216no—
322#547—216no—
323#547—28no—
324#547D4116yescomplemented
325#546—28no—
326#546—216no—
327#542—216no—
328#539—232no—
329#536—216no—
330#533—28no—
331#533—28no—
332#533—216no—
333C2×C4⋊Q8C2311yescharacteristic
334C2×C4⋊Q8C2311yescharacteristic
335C2×C4⋊Q8C2312yes—
336C2×C4⋊Q8C2312yes—
337C2×C4⋊Q8C2312yes—
338C2×C4⋊Q8C2312yes—
339C2×C4⋊Q8C2312yes—
340C2×C4⋊Q8C2311yescharacteristic
341C2×C4⋊Q8C2312yes—
342C2×C4⋊Q8C2311yescharacteristic
343#529—232no—
344#529—216no—
345#529—28no—
346C2×#126C2314yes—
347C2×#126C2312yes—
348C2×#126C2314yes—
349C2×#126C2314yes—
350C2×#126C2314yes—
351C2×#126C2314yes—
352C2×#125C2311yescharacteristic
353C2×#125C2312yes—
354C2×#125C2314yes—
355C2×#125C2312yes—
356C2×#125C2312yes—
357C2×#125C2314yes—
358C2×#125C2314yes—
359C2×#124C2312yes—
360C2×#124C2311yescharacteristic
361C2×#124C2312yes—
362C2×#124C2314yes—
363C2×#124C2314yes—
364C2×#124C2312yes—
365C2×#124C2311yescharacteristic
366#525—216no—
367C2×#123C2314yes—
368C2×#123C2314yes—
369C2×#123C2314yes—
370C2×#123C2312yes—
371C2×#123C2314yes—
372C2×#123C2312yes—
373C2×#123C2314yes—
374C2×#123C2314yes—
375C2×#123C2312yes—
376C2×#123C2314yes—
377C2×#123C2314yes—
378C2×C22⋊Q8—216no—
379C2×C22⋊Q8C2314yes—
380C2×C22⋊Q8C2314yes—
381C2×C22⋊Q8C2312yes—
382C2×C22⋊Q8C2312yes—
383C2×C22⋊Q8C2312yes—
384C2×C22⋊Q8C2311yescharacteristic
385C2×C22⋊Q8C2314yes—
386C2×C22⋊Q8C2314yes—
387C2×C22⋊Q8C2312yes—
388C2×C22⋊Q8C2312yes—
389C2×C22⋊Q8C2311yescharacteristic
390C2×C22⋊Q8C2312yes—
391C2×C22⋊Q8C2314yes—
392C2×C22⋊Q8C2312yes—
393C2×C22⋊Q8C2314yes—
394C2×C22⋊Q8C2312yes—
395C2×C22⋊Q8C2314yes—
396C2×C22⋊Q8C2312yes—
397C2×C22⋊Q8C2314yes—
398C2×C22⋊Q8C2311yescharacteristic
399C2×C22⋊Q8C2312yes—
400C2×C22⋊Q8C2312yes—
401C2×C22⋊Q8C2312yes—
402C2×C22⋊Q8C2311yescharacteristic
403C2×C22⋊Q8C2312yes—
404C2×#121C2311yescharacteristic
405C2×#121C2312yes—
406C2×#121C2311yescharacteristic
407C2×#121C2312yes—
408C2×#121C2314yes—
409C2×#121C2314yes—
410C2×#121C2312yes—
411C2×#120C2312yes—
412C2×#120C2314yes—
413#520—216no—
414C4×#41—216no—
415C4×#41—28no—
416C4×#41—28no—
417C2×C4×Q8—216no—
418C2×C4×Q8C2311yescharacteristic
419C2×C4×Q8C2311yescharacteristic
420C2×C4×Q8C2311yescharacteristic
421C2×C4×Q8C2312yes—
422C2×C4×Q8C2312yes—
423C2×C4×Q8C2312yes—
424C2×C4×Q8C2311yescharacteristic
425C2×C4×Q8C2312yes—
426C2×C4×Q8C2311yescharacteristic
427C2×C4×Q8C2314yes—
428C2×C4×Q8C2314yes—
429C2×C4×Q8C2312yes—
430C2×C4×Q8C2312yes—
431C2×C4×Q8C2312yes—
432C2×C4×Q8C2312yes—
433C2×C4×Q8C2312yes—
434C2×C4×Q8C2312yes—
435C2×C4×D4—28no—
436C2×C4×D4C2314yes—
437C2×C4×D4C2314yes—
438C2×C4×D4C2314yes—
439C2×C4×D4C2311yescharacteristic
440C2×C4×D4C2311yescharacteristic
441C2×C4×D4C2311yescharacteristic
442C2×C4×D4C2311yescharacteristic
443C2×C4×D4C2311yescharacteristic
444C2×C4×D4C2312yes—
445C2×C4×D4C2312yes—
446C2×C4×D4C2311yescharacteristic
447C2×C4×D4C2312yes—
448C2×C4×D4C2312yes—
449C2×C4×D4C2312yes—
450C2×C4×D4C2312yes—
451C2×C4×D4C2311yescharacteristic
452C2×C4×D4C2312yes—
453C2×C4×D4C2311yescharacteristic
454C2×C4×D4C2314yes—
455C2×C4×D4C2312yes—
456C2×C4×D4C2314yes—
457C2×C4×D4C2312yes—
458C2×C4×D4C2311yescharacteristic
459C2×C4×D4C2312yes—
460C2×C4×D4C2311yescharacteristic
461C2×C4×D4C2311yescharacteristic
462C2×C4×D4C2311yescharacteristic
463C2×#117C2312yes—
464C2×#117C2312yes—
465C2×#117C2312yes—
466C2×#117C2314yes—
467C2×#117C2311yescharacteristic
468C2×#117C2311yescharacteristic
469C2×#117C2312yes—
470C2×#117C2312yes—
471C2×#117C2314yes—
472C2×#117C2314yes—
473C2×#117C2312yes—
474C2×#117C2312yes—
475C2×#117C2312yes—
476C2×#117C2312yes—
477C2×#117C2312yes—
478C22×C4⋊C4C2314yes—
479C22×C4⋊C4C2311yescharacteristic
480C22×C4⋊C4C2312yes—
481C22×C4⋊C4C2314yes—
482C22×C4⋊C4C2312yes—
483C22×C22⋊C4C2312yes—
484C22×C22⋊C4C2312yes—
485C22×C22⋊C4C2314yes—
486C22×C22⋊C4C2312yes—
487C22×C42C2312yes—
488C22×C42C2314yes—
489C22×C42C2312yes—
490C22×C42C2311yescharacteristic
491C22×C42C2311yescharacteristic
492C22×C42C2312yes—
493#400C2314yes—
494#400C2314yes—
495#400C2314yes—
496#400C2314yes—
497#400C2314yes—
498#400C2312yes—
499#400C2314yes—
500#399C2314yes—
501#399C2314yes—
502#399C2312yes—
503#399C2314yes—
504#398C2314yes—
505#398C2314yes—
506#398C2314yes—
507#398C2314yes—
508#398C2314yes—
509#398C2314yes—
510#398C2314yes—
511#398C2314yes—
512#398C2314yes—
513#398C2312yes—
514#398C2314yes—
515#398C2314yes—
516#398C2312yes—
517#398C2314yes—
518#397C2314yes—
519#397C2314yes—
520#397C2314yes—
521#397C2314yes—
522#397C2314yes—
523#397C2312yes—
524#397C2314yes—
525#397C2312yes—
526#397C2312yes—
527#397C2314yes—
528#397C2312yes—
529#397C2314yes—
530#397C2314yes—
531#397C2314yes—
532#397C2314yes—
533#397C2314yes—
534#397C2314yes—
535#397C2314yes—
536#397C2314yes—
537#397C2314yes—
538#397C2314yes—
539#396C2314yes—
540#396C2314yes—
541#396C2314yes—
542#396C2314yes—
543#396C2312yes—
544#396C2312yes—
545#396C2314yes—
546#395C2314yes—
547#395C2314yes—
548#395C2314yes—
549#395C2314yes—
550#395C2314yes—
551#395C2314yes—
552#394C2312yes—
553#394C2314yes—
554#394C2314yes—
555#394C2312yes—
556#394C2314yes—
557#394C2312yes—
558#394C2314yes—
559#394C2314yes—
560#394C2312yes—
561#394C2312yes—
562#394C2314yes—
563#394C2314yes—
564#394C2314yes—
565#394C2314yes—
566#394C2314yes—
567#393C2314yes—
568#393C2314yes—
569#392C2312yes—
570#392C2314yes—
571#391C2314yes—
572#391C2311yescharacteristic
573#391C2311yescharacteristic
574#391C2312yes—
575#391C2311yescharacteristic
576#391C2312yes—
577#391C2312yes—
578#391C2312yes—
579#391C2314yes—
580#391C2314yes—
581#391C2312yes—
582#391C2312yes—
583#391C2312yes—
584#391C2312yes—
585#391C2312yes—
586#391C2312yes—
587#391C2311yescharacteristic
588#391C2311yescharacteristic
589#391C2314yes—
590#391C2314yes—
591#391C2314yes—
592#391C2312yes—
593#391C2312yes—
594#391C2312yes—
595#391C2312yes—
596#391C2311yescharacteristic
597#390C2314yes—
598#390C2314yes—
599#390C2312yes—
600#390C2314yes—
601#390C2311yescharacteristic
602#390C2311yescharacteristic
603#390C2311yescharacteristic
604#390C2312yes—
605#390C2312yes—
606#390C2312yes—
607#390C2311yescharacteristic
608#389C2312yes—
609#389C2312yes—
610#389C2312yes—
611#389C2312yes—
612#389C2314yes—
613#389C2314yes—
614#389C2314yes—
615#389C2314yes—
616#389C2312yes—
617#389C2312yes—
618#389C2312yes—
619#389C2312yes—
620#389C2314yes—
621#389C2314yes—
622#389C2311yescharacteristic
623#389C2312yes—
624#389C2314yes—
625#389C2314yes—
626#389C2312yes—
627#389C2312yes—
628#389C2312yes—
629#389C2312yes—
630#389C2312yes—
631#389C2314yes—
632#389C2311yescharacteristic
633#389C2314yes—
634#389C2311yescharacteristic
635#389C2314yes—
636#389C2312yes—
637#389C2312yes—
638#389C2314yes—
639#389C2311yescharacteristic
640#389C2312yes—
641#389C2312yes—
642#389C2314yes—
643#389C2312yes—
644#389C2311yescharacteristic
645#389C2311yescharacteristic
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2312yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2312yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2312yes—
659#388C2314yes—
660#388C2314yes—
661#388C2312yes—
662#388C2312yes—
663#388C2312yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2312yes—
668#388C2312yes—
669#388C2312yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2312yes—
674#388C2312yes—
675#388C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#387C2314yes—
682#387C2314yes—
683#387C2314yes—
684#387C2312yes—
685#387C2314yes—
686#387C2314yes—
687#387C2314yes—
688#387C2314yes—
689#387C2314yes—
690#387C2314yes—
691#387C2314yes—
692#387C2314yes—
693#387C2312yes—
694#387C2312yes—
695#387C2314yes—
696#387C2314yes—
697#387C2314yes—
698#387C2314yes—
699#387C2312yes—
700#387C2312yes—
701#387C2312yes—
702#387C2312yes—
703#386C2312yes—
704#386C2314yes—
705#386C2312yes—
706#386C2314yes—
707#386C2314yes—
708#386C2312yes—
709#386C2312yes—
710#386C2312yes—
711#386C2312yes—
712#386C2314yes—
713#386C2314yes—
714#386C2312yes—
715#386C2312yes—
716#386C2314yes—
717#386C2314yes—
718#385C2312yes—
719#385C2312yes—
720#385C2312yes—
721#385C2314yes—
722#385C2314yes—
723#385C2314yes—
724#385C2312yes—
725#385C2314yes—
726#385C2314yes—
727#385C2314yes—
728#385C2314yes—
729#385C2312yes—
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#385C2312yes—
735#385C2314yes—
736#385C2314yes—
737#385C2312yes—
738#385C2312yes—
739#385C2314yes—
740#385C2314yes—
741#385C2314yes—
742#385C2312yes—
743#385C2314yes—
744#385C2312yes—
745#385C2312yes—
746#385C2312yes—
747#384C2311yescharacteristic
748#384C2311yescharacteristic
749#384C2312yes—
750#384C2312yes—
751#384C2314yes—
752#384C2312yes—
753#384C2312yes—
754#382C2312yes—
755#382C2312yes—
756#382C2311yescharacteristic
757#382C2314yes—
758#381C2314yes—
759#381C2314yes—
760#381C2312yes—
761#381C2314yes—
762#381C2314yes—
763#381C2312yes—
764#381C2314yes—
765#380C2314yes—
766#380C2312yes—
767#380C2312yes—
768#380C2312yes—
769#380C2312yes—
770#380C2311yescharacteristic
771#380C2311yescharacteristic
772#380C2312yes—
773#380C2314yes—
774#380C2314yes—
775#380C2314yes—
776#380C2312yes—
777#380C2312yes—
778#380C2312yes—
779#380C2312yes—
780#380C2314yes—
781#380C2311yescharacteristic
782#380C2312yes—
783#380C2311yescharacteristic
784#380C2314yes—
785#380C2314yes—
786#379C2314yes—
787#379C2312yes—
788#379C2314yes—
789C4×C4⋊C4C2314yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2314yes—
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2311yescharacteristic
800C4×C4⋊C4C2314yes—
801C4×C4⋊C4C2314yes—
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2311yescharacteristic
804C4×C4⋊C4C2312yes—
805C4×C4⋊C4C2311yescharacteristic
806C4×C4⋊C4C2311yescharacteristic
807C4×C4⋊C4C2314yes—
808C4×C4⋊C4C2314yes—
809C4×C4⋊C4C2314yes—
810C4×C4⋊C4C2312yes—
811C4×C4⋊C4C2312yes—
812C4×C4⋊C4C2312yes—
813C4×C4⋊C4C2314yes—
814C4×C22⋊C4C2314yes—
815C4×C22⋊C4C2314yes—
816C4×C22⋊C4C2314yes—
817C4×C22⋊C4C2314yes—
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2311yescharacteristic
820C4×C22⋊C4C2311yescharacteristic
821C4×C22⋊C4C2314yes—
822C4×C22⋊C4C2314yes—
823C4×C22⋊C4C2312yes—
824C4×C22⋊C4C2312yes—
825C4×C22⋊C4C2312yes—
826C4×C22⋊C4C2311yescharacteristic
827C4×C22⋊C4C2312yes—
828C4×C22⋊C4C2314yes—
829C4×C22⋊C4C2314yes—
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2314yes—
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2314yes—
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2311yescharacteristic
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2311yescharacteristic
842C4×C22⋊C4C2312yes—
843C4×C22⋊C4C2311yescharacteristic
844C2×#95C2312yes—
845C2×#95C2312yes—
846C43C2311yescharacteristic
847C25C2412yes—
848C2×#41—24no—
849C2×#41—24no—
850C2×#41—24no—
851C2×#41—28no—
852C2×#41—28no—
853C2×#41—44no—
854C2×#41—44no—
855C2×#41—44no—
856C2×#41—42no—
857C2×#41—42no—
858C2×#41—42no—
859C2×#41C2×D4116yes—
860C22×Q8—28no—
861C22×Q8—28no—
862C22×Q8—28no—
863C22×Q8—44no—
864C22×Q8—44no—
865C22×Q8—44no—
866C22×Q8C2411yescharacteristic
867C22×Q8C2412yes—
868C22×Q8C2412yes—
869C22×Q8C2411yescharacteristic
870C22×Q8C2414yes—
871C22×Q8C2412yes—
872C22×Q8C2411yescharacteristic
873C22×Q8C2414yes—
874C22×D4—24no—
875C22×D4—24no—
876C22×D4—42no—
877C22×D4C2412yes—
878C22×D4C2411yescharacteristic
879C22×D4C2412yes—
880C22×D4C2414yes—
881C22×D4C2412yes—
882C22×D4C2411yescharacteristic
883C22×D4C2411yescharacteristic
884C22×D4C2411yescharacteristic
885C22×D4C2412yes—
886C22×D4C2412yes—
887C22×D4C2414yes—
888C23×C4—28no—
889C23×C4—44no—
890C23×C4—44no—
891C23×C4C2412yes—
892C23×C4C2411yescharacteristic
893C23×C4C2411yescharacteristic
894C23×C4C2411yescharacteristic
895C23×C4C2411yescharacteristic
896C23×C4C2411yescharacteristic
897C23×C4C2414yes—
898C23×C4C2412yes—
899C23×C4C2412yes—
900C23×C4C2414yes—
901C23×C4C2411yescharacteristic
902C23×C4C2412yes—
903C23×C4C2412yes—
904C23×C4C2412yes—
905C23×C4C2414yes—
906C23×C4C2412yes—
907C23×C4C2412yes—
908C23×C4C2412yes—
909C23×C4C2412yes—
910C23×C4C2412yes—
911C23×C4C2412yes—
912C23×C4C2414yes—
913C4⋊Q8—28no—
914C4⋊Q8—28no—
915C4⋊Q8—28no—
916C4⋊Q8—28no—
917C4⋊Q8—24no—
918C4⋊Q8—24no—
919C4⋊Q8—28no—
920C4⋊Q8—42no—
921C4⋊Q8—44no—
922C4⋊Q8C2×D418yes—
923#126—216no—
924#126—28no—
925#126—216no—
926#126—216no—
927#126—216no—
928#126—216no—
929#125—24no—
930#125—216no—
931#125—28no—
932#125—28no—
933#125—28no—
934#125—216no—
935#125—216no—
936#124—24no—
937#124—28no—
938#124—28no—
939#124—216no—
940#124—28no—
941#124—216no—
942#124#4118yescomplemented
943#123—216no—
944#123—216no—
945#123—216no—
946#123—28no—
947#123—216no—
948#123—216no—
949#123—216no—
950#123—216no—
951#123—28no—
952#123—28no—
953#123C2×D4132yes—
954C22⋊Q8—28no—
955C22⋊Q8—28no—
956C22⋊Q8—28no—
957C22⋊Q8—24no—
958C22⋊Q8—28no—
959C22⋊Q8—28no—
960C22⋊Q8—28no—
961C22⋊Q8—216no—
962C22⋊Q8—28no—
963C22⋊Q8—24no—
964C22⋊Q8—216no—
965C22⋊Q8—28no—
966C22⋊Q8—28no—
967C22⋊Q8—216no—
968C22⋊Q8—216no—
969C22⋊Q8—216no—
970C22⋊Q8—216no—
971C22⋊Q8—216no—
972C22⋊Q8—216no—
973C22⋊Q8—42no—
974C22⋊Q8—44no—
975C22⋊Q8—44no—
976C22⋊Q8—44no—
977C22⋊Q8—42no—
978C22⋊Q8C2×D4116yes—
979#121—24no—
980#121—28no—
981#121—216no—
982#121—216no—
983#121—24no—
984#121—28no—
985#121C2×D4116yes—
986#120—216no—
987#120—28no—
988C4×Q8—28no—
989C4×Q8—28no—
990C4×Q8—28no—
991C4×Q8—24no—
992C4×Q8—216no—
993C4×Q8—28no—
994C4×Q8—28no—
995C4×Q8—216no—
996C4×Q8—28no—
997C4×Q8—24no—
998C4×Q8—28no—
999C4×Q8—28no—
1000C4×Q8—24no—
1001C4×Q8—24no—
1002C4×Q8—24no—
1003C4×Q8—44no—
1004C4×Q8—44no—
1005C4×D4—24no—
1006C4×D4—24no—
1007C4×D4—24no—
1008C4×D4—216no—
1009C4×D4—28no—
1010C4×D4—216no—
1011C4×D4—28no—
1012C4×D4—28no—
1013C4×D4—28no—
1014C4×D4—216no—
1015C4×D4—216no—
1016C4×D4—216no—
1017C4×D4—28no—
1018C4×D4—24no—
1019C4×D4—28no—
1020C4×D4—28no—
1021C4×D4—28no—
1022C4×D4—28no—
1023C4×D4—24no—
1024C4×D4—24no—
1025C4×D4—24no—
1026C4×D4—24no—
1027C4×D4—42no—
1028C4×D4—44no—
1029C4×D4—42no—
1030C4×D4C2×D418yes—
1031C4×D4C2×D418yes—
1032#117—216no—
1033#117—28no—
1034#117—28no—
1035#117—28no—
1036#117—24no—
1037#117—24no—
1038#117—216no—
1039#117—28no—
1040#117—28no—
1041#117—28no—
1042#117—28no—
1043#117—216no—
1044#117—28no—
1045#117—44no—
1046#117—44no—
1047C2×C4⋊C4—216no—
1048C2×C4⋊C4—24no—
1049C2×C4⋊C4—216no—
1050C2×C4⋊C4—28no—
1051C2×C4⋊C4C2×D4116yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2411yescharacteristic
1057C2×C4⋊C4C2414yes—
1058C2×C4⋊C4C2414yes—
1059C2×C4⋊C4C2414yes—
1060C2×C4⋊C4C2414yes—
1061C2×C4⋊C4C2414yes—
1062C2×C4⋊C4C2414yes—
1063C2×C4⋊C4C2411yescharacteristic
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2411yescharacteristic
1066C2×C4⋊C4C2411yescharacteristic
1067C2×C4⋊C4C2411yescharacteristic
1068C2×C4⋊C4C2411yescharacteristic
1069C2×C4⋊C4C2414yes—
1070C2×C4⋊C4C2412yes—
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2414yes—
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2414yes—
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2414yes—
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2411yescharacteristic
1084C2×C4⋊C4C2414yes—
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2411yescharacteristic
1087C2×C4⋊C4C2411yescharacteristic
1088C2×C4⋊C4C2411yescharacteristic
1089C2×C4⋊C4C2414yes—
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2414yes—
1093C2×C4⋊C4C2414yes—
1094C2×C4⋊C4C2414yes—
1095C2×C4⋊C4C2414yes—
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2411yescharacteristic
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2414yes—
1101C2×C4⋊C4C2414yes—
1102C2×C4⋊C4C2414yes—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2414yes—
1106C2×C4⋊C4C2414yes—
1107C2×C4⋊C4C2414yes—
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2414yes—
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2414yes—
1116C2×C4⋊C4C2411yescharacteristic
1117C2×C4⋊C4C2411yescharacteristic
1118C2×C4⋊C4C2414yes—
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2412yes—
1121C2×C22⋊C4—28no—
1122C2×C22⋊C4—216no—
1123C2×C22⋊C4—28no—
1124C2×C22⋊C4—28no—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2411yescharacteristic
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2412yes—
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2411yescharacteristic
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2411yescharacteristic
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2414yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2411yescharacteristic
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2411yescharacteristic
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2414yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2414yes—
1175C2×C22⋊C4C2414yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2411yescharacteristic
1184C2×C42—28no—
1185C2×C42—216no—
1186C2×C42—28no—
1187C2×C42—24no—
1188C2×C42—24no—
1189C2×C42—44no—
1190C2×C42C2412yes—
1191C2×C42C2411yescharacteristic
1192C2×C42C2411yescharacteristic
1193C2×C42C2414yes—
1194C2×C42C2412yes—
1195C2×C42C2414yes—
1196C2×C42C2414yes—
1197C2×C42C2414yes—
1198C2×C42C2412yes—
1199C2×C42C2412yes—
1200C2×C42C2412yes—
1201C2×C42C2411yescharacteristic
1202C2×C42C2412yes—
1203C2×C42C2411yescharacteristic
1204C2×C42C2412yes—
1205C2×C42C2414yes—
1206C2×C42C2411yescharacteristic
1207C2×C42C2412yes—
1208C2×C42C2411yescharacteristic
1209C2×C42C2411yescharacteristic
1210C2×C42C2412yes—
1211C2×C42C2411yescharacteristic
1212C2×C42C2411yescharacteristic
1213C2×C42C2411yescharacteristic
1214C2×C42C2414yes—
1215C2×C42C2414yes—
1216C2×C42C2414yes—
1217C2×C42C2414yes—
1218C2×C42C2411yescharacteristic
1219C2×C42C2412yes—
1220C2×C42C2412yes—
1221C2×C42C2411yescharacteristic
1222C2×C42C2411yescharacteristic
1223#95C2411yescharacteristic
1224#95C2411yescharacteristic
1225#95C2412yes—
1226#95C2412yes—
1227#95C2412yes—
1228#95C2412yes—
1229#95C2412yes—
1230#95C2412yes—
1231#95C2412yes—
1232#95C2412yes—
1233#95C2411yescharacteristic
1234#95C2412yes—
1235#95C2412yes—
1236#95C2412yes—
1237#95C2411yescharacteristic
1238#95C2411yescharacteristic
1239#95C2411yescharacteristic
1240#95C2412yes—
1241#95C2414yes—
1242#95C2412yes—
1243#95C2414yes—
1244#95C2414yes—
1245#95C2414yes—
1246#95C2414yes—
1247#95C2412yes—
1248#95C2414yes—
1249#95C2412yes—
1250#95C2414yes—
1251#95C2414yes—
1252#95C2414yes—
1253#95C2414yes—
1254#95C2414yes—
1255#95C2414yes—
1256#95C2412yes—
1257#95C2412yes—
1258#95C2414yes—
1259#95C2412yes—
1260#95C2412yes—
1261#95C2412yes—
1262#95C2414yes—
1263#95C2412yes—
1264#95C2412yes—
1265#95C2414yes—
1266#95C2414yes—
1267#95C2414yes—
1268#95C2412yes—
1269#95C2414yes—
1270#95C2414yes—
1271#95C2412yes—
1272#95C2414yes—
1273#95C2412yes—
1274#95C2412yes—
1275#95C2414yes—
1276#95C2412yes—
1277#95C2412yes—
1278#95C2414yes—
1279#95C2414yes—
1280#95C2414yes—
1281#95C2414yes—
1282#95C2414yes—
1283C24—24no—
1284C24—24no—
1285C24—24no—
1286C24—42no—
1287C24—42no—
1288C24—42no—
1289C24—42no—
1290C24C2511yescharacteristic
1291C24C2512yes—
1292C24C2512yes—
1293C24C2512yes—
1294C24C2511yescharacteristic
1295#41—432no—
1296#41—432no—
1297#41—416no—
1298#41—416no—
1299C2×Q8—22no—
1300C2×Q8—28no—
1301C2×Q8—24no—
1302C2×Q8—24no—
1303C2×Q8—22no—
1304C2×Q8—22no—
1305C2×Q8—28no—
1306C2×Q8—28no—
1307C2×Q8—24no—
1308C2×Q8—24no—
1309C2×Q8—24no—
1310C2×Q8—24no—
1311C2×Q8—22no—
1312C2×Q8—22no—
1313C2×Q8—24no—
1314C2×Q8—24no—
1315C2×Q8—22no—
1316C2×Q8—22no—
1317C2×Q8—22no—
1318C2×Q8—44no—
1319C2×Q8—44no—
1320C2×Q8—44no—
1321C2×Q8—432no—
1322C2×Q8—816no—
1323C2×Q8C22×D418yes—
1324C2×Q8C2×#4114yes—
1325C2×D4—24no—
1326C2×D4—28no—
1327C2×D4—24no—
1328C2×D4—24no—
1329C2×D4—24no—
1330C2×D4—24no—
1331C2×D4—28no—
1332C2×D4—22no—
1333C2×D4—24no—
1334C2×D4—24no—
1335C2×D4—22no—
1336C2×D4—22no—
1337C2×D4—22no—
1338C2×D4—24no—
1339C2×D4—22no—
1340C2×D4—22no—
1341C2×D4—22no—
1342C2×D4—22no—
1343C2×D4—41no—
1344C2×D4—42no—
1345C2×D4—42no—
1346C2×D4—44no—
1347C2×D4—44no—
1348C2×D4—42no—
1349C2×D4—42no—
1350C2×D4—44no—
1351C2×D4—42no—
1352C2×D4—42no—
1353C2×D4—42no—
1354C2×D4—416no—
1355C2×D4C22×D414yes—
1356C2×D4C22×D414yes—
1357C2×D4C22×D4116yes—
1358C2×D4C2×#4114yes—
1359C22×C4—24no—
1360C22×C4—24no—
1361C22×C4—24no—
1362C22×C4—24no—
1363C22×C4—24no—
1364C22×C4—24no—
1365C22×C4—28no—
1366C22×C4—24no—
1367C22×C4—24no—
1368C22×C4—28no—
1369C22×C4—22no—
1370C22×C4—24no—
1371C22×C4—22no—
1372C22×C4—22no—
1373C22×C4—22no—
1374C22×C4—22no—
1375C22×C4—22no—
1376C22×C4—22no—
1377C22×C4—28no—
1378C22×C4—24no—
1379C22×C4—24no—
1380C22×C4—22no—
1381C22×C4—22no—
1382C22×C4—28no—
1383C22×C4—24no—
1384C22×C4—22no—
1385C22×C4—24no—
1386C22×C4—22no—
1387C22×C4—22no—
1388C22×C4—22no—
1389C22×C4—24no—
1390C22×C4—22no—
1391C22×C4—22no—
1392C22×C4—22no—
1393C22×C4—24no—
1394C22×C4—28no—
1395C22×C4—24no—
1396C22×C4—24no—
1397C22×C4—24no—
1398C22×C4—24no—
1399C22×C4—41no—
1400C22×C4—41no—
1401C22×C4—42no—
1402C22×C4—42no—
1403C22×C4—44no—
1404C22×C4—44no—
1405C22×C4—44no—
1406C22×C4—44no—
1407C22×C4—42no—
1408C22×C4—42no—
1409C22×C4—42no—
1410C22×C4—42no—
1411C22×C4—42no—
1412C22×C4—42no—
1413C22×C4—42no—
1414C22×C4—42no—
1415C22×C4—42no—
1416C22×C4—42no—
1417C22×C4—42no—
1418C22×C4—42no—
1419C22×C4—42no—
1420C22×C4—44no—
1421C22×C4—44no—
1422C22×C4—816no—
1423C22×C4C22×D418yes—
1424C22×C4C22×D418yes—
1425C22×C4C22×D4116yes—
1426C22×C4C2512yes—
1427C22×C4C2512yes—
1428C22×C4C2512yes—
1429C22×C4C2512yes—
1430C22×C4C2511yescharacteristic
1431C22×C4C2514yes—
1432C22×C4C2511yescharacteristic
1433C22×C4C2512yes—
1434C22×C4C2512yes—
1435C22×C4C2511yescharacteristic
1436C22×C4C2512yes—
1437C22×C4C2512yes—
1438C22×C4C2512yes—
1439C22×C4C2511yescharacteristic
1440C22×C4C2511yescharacteristic
1441C22×C4C2514yes—
1442C22×C4C2514yes—
1443C22×C4C2512yes—
1444C22×C4C2511yescharacteristic
1445C22×C4C2512yes—
1446C22×C4C2511yescharacteristic
1447C22×C4C2514yes—
1448C22×C4C2512yes—
1449C22×C4C2511yescharacteristic
1450C22×C4C2511yescharacteristic
1451C22×C4C2512yes—
1452C22×C4C2511yescharacteristic
1453C22×C4C2511yescharacteristic
1454C22×C4C2511yescharacteristic
1455C22×C4C2511yescharacteristic
1456C4⋊C4—24no—
1457C4⋊C4—24no—
1458C4⋊C4—24no—
1459C4⋊C4—24no—
1460C4⋊C4—22no—
1461C4⋊C4—28no—
1462C4⋊C4—28no—
1463C4⋊C4—28no—
1464C4⋊C4—28no—
1465C4⋊C4—28no—
1466C4⋊C4—28no—
1467C4⋊C4—22no—
1468C4⋊C4—24no—
1469C4⋊C4—22no—
1470C4⋊C4—24no—
1471C4⋊C4—28no—
1472C4⋊C4—24no—
1473C4⋊C4—22no—
1474C4⋊C4—24no—
1475C4⋊C4—28no—
1476C4⋊C4—24no—
1477C4⋊C4—28no—
1478C4⋊C4—24no—
1479C4⋊C4—28no—
1480C4⋊C4—24no—
1481C4⋊C4—28no—
1482C4⋊C4—24no—
1483C4⋊C4—28no—
1484C4⋊C4—24no—
1485C4⋊C4—24no—
1486C4⋊C4—24no—
1487C4⋊C4—22no—
1488C4⋊C4—22no—
1489C4⋊C4—24no—
1490C4⋊C4—28no—
1491C4⋊C4—28no—
1492C4⋊C4—28no—
1493C4⋊C4—28no—
1494C4⋊C4—22no—
1495C4⋊C4—24no—
1496C4⋊C4—24no—
1497C4⋊C4—22no—
1498C4⋊C4—22no—
1499C4⋊C4—24no—
1500C4⋊C4—24no—
1501C4⋊C4—22no—
1502C4⋊C4—42no—
1503C4⋊C4—42no—
1504C4⋊C4—42no—
1505C4⋊C4—44no—
1506C4⋊C4—42no—
1507C4⋊C4—41no—
1508C4⋊C4—42no—
1509C4⋊C4—44no—
1510C4⋊C4—44no—
1511C4⋊C4—42no—
1512C4⋊C4—44no—
1513C4⋊C4—42no—
1514C4⋊C4—44no—
1515C4⋊C4—44no—
1516C4⋊C4—42no—
1517C4⋊C4—42no—
1518C4⋊C4—44no—
1519C4⋊C4—44no—
1520C4⋊C4C22×D414yes—
1521C4⋊C4C22×D414yes—
1522C4⋊C4C22×D4116yes—
1523C4⋊C4C22×D418yes—
1524C4⋊C4C22×D418yes—
1525C22⋊C4—24no—
1526C22⋊C4—28no—
1527C22⋊C4—24no—
1528C22⋊C4—24no—
1529C22⋊C4—28no—
1530C22⋊C4—24no—
1531C22⋊C4—24no—
1532C22⋊C4—28no—
1533C22⋊C4—28no—
1534C22⋊C4—28no—
1535C22⋊C4—24no—
1536C22⋊C4—28no—
1537C22⋊C4—24no—
1538C22⋊C4—28no—
1539C22⋊C4—28no—
1540C22⋊C4—24no—
1541C22⋊C4—24no—
1542C22⋊C4—24no—
1543C22⋊C4—24no—
1544C22⋊C4—28no—
1545C22⋊C4—24no—
1546C22⋊C4—28no—
1547C22⋊C4—24no—
1548C22⋊C4—24no—
1549C22⋊C4—28no—
1550C22⋊C4—22no—
1551C22⋊C4—24no—
1552C22⋊C4—24no—
1553C22⋊C4—24no—
1554C22⋊C4—24no—
1555C22⋊C4—22no—
1556C22⋊C4—24no—
1557C22⋊C4—24no—
1558C22⋊C4—22no—
1559C22⋊C4—24no—
1560C22⋊C4—42no—
1561C22⋊C4—42no—
1562C22⋊C4—44no—
1563C22⋊C4—42no—
1564C22⋊C4—44no—
1565C22⋊C4—44no—
1566C22⋊C4—44no—
1567C22⋊C4—44no—
1568C22⋊C4—42no—
1569C22⋊C4—42no—
1570C22⋊C4—42no—
1571C22⋊C4—41no—
1572C22⋊C4—41no—
1573C22⋊C4—42no—
1574C22⋊C4—44no—
1575C22⋊C4—42no—
1576C22⋊C4—44no—
1577C22⋊C4—44no—
1578C22⋊C4C22×D418yes—
1579C22⋊C4C22×D4116yes—
1580C22⋊C4C22×D418yes—
1581C22⋊C4C2×#4118yes—
1582C22⋊C4C2×#4118yes—
1583C22⋊C42−1+414yes—
1584C42—24no—
1585C42—22no—
1586C42—22no—
1587C42—22no—
1588C42—24no—
1589C42—22no—
1590C42—28no—
1591C42—24no—
1592C42—24no—
1593C42—28no—
1594C42—22no—
1595C42—24no—
1596C42—22no—
1597C42—28no—
1598C42—24no—
1599C42—28no—
1600C42—28no—
1601C42—24no—
1602C42—24no—
1603C42—22no—
1604C42—22no—
1605C42—24no—
1606C42—22no—
1607C42—22no—
1608C42—42no—
1609C42—42no—
1610C42—41no—
1611C42—44no—
1612C42—44no—
1613C42—44no—
1614C42—44no—
1615C42C22×D414yes—
1616C42C2×#4114yes—
1617C23—21no—
1618C23—22no—
1619C23—21no—
1620C23—22no—
1621C23—22no—
1622C23—22no—
1623C23—22no—
1624C23—22no—
1625C23—21no—
1626C23—22no—
1627C23—22no—
1628C23—21no—
1629C23—22no—
1630C23—22no—
1631C23—21no—
1632C23—22no—
1633C23—22no—
1634C23—22no—
1635C23—22no—
1636C23—22no—
1637C23—22no—
1638C23—22no—
1639C23—22no—
1640C23—21no—
1641C23—21no—
1642C23—21no—
1643C23—21no—
1644C23—21no—
1645C23—21no—
1646C23—21no—
1647C23—21no—
1648C23—48no—
1649C23—48no—
1650C23—48no—
1651C23—84no—
1652C23—84no—
1653C23—84no—
1654C23—84no—
1655C23C23×D414yes—
1656C23C23×D414yes—
1657C23C22×#4114yes—
1658C23C2×2−1+412yes—
1659C23C2611yescharacteristic
1660Q8—28no—
1661Q8—216no—
1662Q8—416no—
1663Q8—48no—
1664Q8—48no—
1665Q8—44no—
1666Q8—44no—
1667Q8—88no—
1668D4—28no—
1669D4—28no—
1670D4—28no—
1671D4—416no—
1672D4—44no—
1673D4—48no—
1674D4—48no—
1675D4—48no—
1676D4—416no—
1677D4—48no—
1678D4—84no—
1679C2×C4—21no—
1680C2×C4—22no—
1681C2×C4—22no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—22no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—24no—
1692C2×C4—24no—
1693C2×C4—22no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—216no—
1698C2×C4—216no—
1699C2×C4—21no—
1700C2×C4—22no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—22no—
1704C2×C4—22no—
1705C2×C4—24no—
1706C2×C4—24no—
1707C2×C4—21no—
1708C2×C4—22no—
1709C2×C4—21no—
1710C2×C4—22no—
1711C2×C4—22no—
1712C2×C4—22no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—21no—
1716C2×C4—24no—
1717C2×C4—21no—
1718C2×C4—24no—
1719C2×C4—22no—
1720C2×C4—22no—
1721C2×C4—22no—
1722C2×C4—22no—
1723C2×C4—21no—
1724C2×C4—22no—
1725C2×C4—22no—
1726C2×C4—22no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—22no—
1730C2×C4—22no—
1731C2×C4—24no—
1732C2×C4—22no—
1733C2×C4—24no—
1734C2×C4—21no—
1735C2×C4—22no—
1736C2×C4—21no—
1737C2×C4—22no—
1738C2×C4—24no—
1739C2×C4—24no—
1740C2×C4—21no—
1741C2×C4—22no—
1742C2×C4—22no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—22no—
1747C2×C4—22no—
1748C2×C4—21no—
1749C2×C4—22no—
1750C2×C4—24no—
1751C2×C4—22no—
1752C2×C4—22no—
1753C2×C4—22no—
1754C2×C4—22no—
1755C2×C4—21no—
1756C2×C4—416no—
1757C2×C4—44no—
1758C2×C4—48no—
1759C2×C4—48no—
1760C2×C4—44no—
1761C2×C4—416no—
1762C2×C4—416no—
1763C2×C4—48no—
1764C2×C4—48no—
1765C2×C4—44no—
1766C2×C4—44no—
1767C2×C4—44no—
1768C2×C4—48no—
1769C2×C4—44no—
1770C2×C4—84no—
1771C2×C4—84no—
1772C2×C4—84no—
1773C2×C4—84no—
1774C2×C4—88no—
1775C2×C4—84no—
1776C2×C4C23×D414yes—
1777C2×C4C23×D418yes—
1778C2×C4C23×D412yes—
1779C2×C4C23×D414yes—
1780C2×C4C23×D412yes—
1781C2×C4C23×D412yes—
1782C2×C4C22×#4112yes—
1783C2×C4C22×#4112yes—
1784C2×C4C22×#4114yes—
1785C2×C4C22×#4112yes—
1786C2×C4C2×2−1+412yes—
1787C2×C4C2×2−1+412yes—
1788C2×C4#58512yes—
1789C2×C4#58512yes—
1790C2×C4#58512yes—
1791C22—24no—
1792C22—22no—
1793C22—24no—
1794C22—24no—
1795C22—22no—
1796C22—24no—
1797C22—24no—
1798C22—22no—
1799C22—24no—
1800C22—24no—
1801C22—24no—
1802C22—24no—
1803C22—42no—
1804C22—42no—
1805C22—41no—
1806C22—42no—
1807C22—42no—
1808C22—42no—
1809C22—42no—
1810C22—42no—
1811C22—41no—
1812C22—42no—
1813C22—42no—
1814C22—41no—
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
1828C22C23×#4111yescharacteristic
1829C22C22×2−1+411yescharacteristic
1830C22C2×#58511yescharacteristic
1831C22C2×#58511yescharacteristic
1832C22C2×#58511yescharacteristic
1833C222−1+611yescharacteristic
1834C4—22no—
1835C4—22no—
1836C4—22no—
1837C4—22no—
1838C4—24no—
1839C4—28no—
1840C4—22no—
1841C4—24no—
1842C4—24no—
1843C4—42no—
1844C4—42no—
1845C4—41no—
1846C4—42no—
1847C4—42no—
1848C4—42no—
1849C4—42no—
1850C4—41no—
1851C4—41no—
1852C4—42no—
1853C4—42no—
1854C4—42no—
1855C4—42no—
1856C4—41no—
1857C4—41no—
1858C4—44no—
1859C4—44no—
1860C4—41no—
1861C4—44no—
1862C4D4×#4114yes—
1863C4#348514yes—
1864C2—44no—
1865C2—44no—
1866C2—44no—
1867C2—42no—
1868C2—81no—
1869C2C2×D4×#4111yescharacteristic
1870C2C2×#348511yescharacteristic
1871C2#6280511yescharacteristic
1872C2#6296711yescharacteristic
1873C2#6299511yescharacteristic
1874C2D4×2−1+411yescharacteristic
1875C2#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×#3520C2semidirect
2. C2×#3482C2semidirect
3. #59413C2semidirect
4. #59316C2semidirect
5. #59181C2semidirect
6. #59116C2semidirect
7. #59103C2semidirect
8. #59071C2semidirect
9. #59042C2semidirect
10. #59025C2semidirect
11. #45134C2semidirect
12. #45095C2semidirect
13. #43536C2semidirect
14. #43499C2semidirect
15. #39956C2semidirect
16. #39884C2semidirect
17. #39360C2semidirect
18. #38911C2semidirect
19. #37812C2semidirect
20. #37796C2semidirect
21. #36547C2semidirect
22. #36432C2semidirect
23. #36405C2semidirect
24. #36404C2semidirect
25. #36188C2semidirect
26. #36161C2semidirect
27. #36134C2semidirect
28. #36130C2semidirect
29. #35802C2semidirect
30. #35773C2semidirect
31. #34742C2semidirect
32. #34724C2semidirect
33. #34316C2semidirect
34. #34266C2semidirect
35. C4×#546C2semidirect
38. C2×#557C22semidirect
41. C2×#556C22semidirect
44. C2×#552C22semidirect
45. C2×#552C22semidirect
48. C2×D4×Q8C22semidirect
53. C2×#547C22semidirect
60. C2×#533C22semidirect
61. C2×#533C22semidirect
64. C2×#529C22semidirect
69. C2×C4×#41C22semidirect
70. C2×C4×#41C22semidirect
71. C22×C4×Q8C22semidirect
73. #2868C22semidirect
75. #2857C22semidirect
76. #2857C22semidirect
77. #2855C22semidirect
78. #2855C22semidirect
79. #2855C22semidirect
81. #2724C22semidirect
82. #2722C22semidirect
83. #2719C22semidirect
84. #2717C22semidirect
86. #2704C22semidirect
87. #2701C22semidirect
88. #2700C22semidirect
90. #2690C22semidirect
91. #2689C22semidirect
92. #2689C22semidirect
93. #2689C22semidirect
95. #2686C22semidirect
97. #2680C22semidirect
98. #2680C22semidirect
102. #2663C22semidirect
103. #2630C22semidirect
104. #2625C22semidirect
105. #2621C22semidirect
107. #2602C22semidirect
108. #2583C22semidirect
109. #2582C22semidirect
111. #2568C22semidirect
112. #2568C22semidirect
115. #2556C22semidirect
117. #2552C22semidirect
118. #2550C22semidirect
119. #2550C22semidirect
120. #2549C22semidirect
124. #2546C22semidirect
128. #2536C22semidirect
129. #2521C22semidirect
130. #2519C22semidirect
131. #2506C22semidirect
132. #2499C22semidirect
133. #2499C22semidirect
134. #2499C22semidirect
135. #2496C22semidirect
136. #2496C22semidirect
138. #2492C22semidirect
141. #2485C22semidirect
142. #2485C22semidirect
143. #2481C22semidirect
146. #2479C22semidirect
147. #2478C22semidirect
148. #2478C22semidirect
149. #2478C22semidirect
150. #2477C22semidirect
152. #2475C22semidirect
153. #2473C22semidirect
157. #2470C22semidirect
158. #2468C22semidirect
160. #2466C22semidirect
163. #2462C22semidirect
164. #2462C22semidirect
165. #2457C22semidirect
168. #2453C22semidirect
169. #2453C22semidirect
170. #2451C22semidirect
171. #2451C22semidirect
174. #2447C22semidirect
175. #2447C22semidirect
176. #2447C22semidirect
177. #2447C22semidirect
178. #2446C22semidirect
180. #2441C22semidirect
181. #2441C22semidirect
182. #2440C22semidirect
183. #2440C22semidirect
184. #2438C22semidirect
187. #2434C22semidirect
188. #2434C22semidirect
191. #2432C22semidirect
196. #2429C22semidirect
197. #2429C22semidirect
200. #2423C22semidirect
201. #2423C22semidirect
204. #2422C22semidirect
205. #2422C22semidirect
207. #2421C22semidirect
210. #2420C22semidirect
211. #2419C22semidirect
212. #2419C22semidirect
218. #2415C22semidirect
219. #2415C22semidirect
221. #2409C22semidirect
224. #2407C22semidirect
226. #2395C22semidirect
227. #2395C22semidirect
229. #2374C22semidirect
234. #2365C22semidirect
235. #2365C22semidirect
236. #2365C22semidirect
237. #2365C22semidirect
238. #2365C22semidirect
239. #2365C22semidirect
243. #2362C22semidirect
244. #2362C22semidirect
245. #2362C22semidirect
246. #2362C22semidirect
249. #2360C22semidirect
250. #2360C22semidirect
251. #2360C22semidirect
256. #2354C22semidirect
258. #2352C22semidirect
259. #2351C22semidirect
260. Q8×C4⋊C4C22semidirect
262. #2345C22semidirect
265. #2341C22semidirect
266. Q8×C22⋊C4C22semidirect
267. Q8×C22⋊C4C22semidirect
270. #2335C22semidirect
272. #2322C22semidirect
273. #2322C22semidirect
274. #2310C22semidirect
275. C4×C4⋊Q8C22semidirect
276. C4×C4⋊Q8C22semidirect
280. C4×C22⋊Q8C22semidirect
281. C4×C22⋊Q8C22semidirect
285. C4×#123C22semidirect
286. C4×#123C22semidirect
291. #2297C22semidirect
292. #2296C22semidirect
293. #2296C22semidirect
294. #2293C22semidirect
295. #2285C22semidirect
297. #2274C22semidirect
324. #547D4semidirect
942. #124#41semidirect

Maximal subgroups

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

subgroupindex
C2×#35202
C2×#34822
#594132
#593162
#591812
#591162
#591032
#590712
#590422
#590252
#451342
#450952
#435362
#434992
#399562
#398842
#393602
#389112
#378122
#377962
#365472
#364322
#364052
#364042
#361882
#361612
#361342
#361302
#358022
#357732
#347422
#347242
#343162
#342662
C4×#5462