Finite Group Databasebeta

← #7679708

Subgroups — #7679708

Order 512.

7096 conjugacy classes of subgroups.

The subgroup lattice has 1856 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3510C212yesmaximal, complemented
2#59843C212yesmaximal, complemented
3#59820C212yesmaximal, complemented
4#59711C212yesmaximal, complemented
5#59641C212yesmaximal, complemented
6#59628C212yesmaximal, complemented
7#59476C212yesmaximal, complemented
8#59273C212yesmaximal, complemented
9#59244C212yesmaximal, complemented
10#44401C214yesmaximal, complemented
11#44367C214yesmaximal, complemented
12#43545C214yesmaximal, complemented
13#43537C214yesmaximal, complemented
14#39387C211yesmaximal, characteristic, complemented
15#39377C211yesmaximal, characteristic, complemented
16#39343C211yesmaximal, characteristic, complemented
17#39342C211yesmaximal, characteristic
18#37787C212yesmaximal, complemented
19#37786C212yesmaximal, complemented
20#37711C212yesmaximal, complemented
21#37696C212yesmaximal, complemented
22#36134C211yesmaximal, characteristic, complemented
23#36117C211yesmaximal, characteristic, complemented
24#36116C211yesmaximal, characteristic, complemented
25D4×#124C211yesmaximal, characteristic, complemented
26#35664C212yesmaximal, complemented
27#35523C212yesmaximal, complemented
28#35277C211yesmaximal, characteristic, complemented
29#35258C212yesmaximal, complemented
30#34934C211yesmaximal, characteristic, complemented
31#34932C211yesmaximal, characteristic, complemented
32#34311C211yesmaximal, characteristic, complemented
33#34310C211yesmaximal, characteristic, complemented
34#34141C211yesmaximal, characteristic, complemented
35C4×#542C211yesmaximal, characteristic, complemented
36#3510—232no—
37C2×#559C2214yescomplemented
38C2×#559C2214yescomplemented
39C2×#556C2214yescomplemented
40C2×#556C2214yescomplemented
41C2×#551C2214yescomplemented
42C2×#551C2214yescomplemented
43C2×#551C2214yescomplemented
44C2×#551C2214yescomplemented
45C2×D4×Q8C2211yescharacteristic
46C2×D42C2211yescharacteristic
47C2×#542C2212yes—
48C2×#542C2211yescharacteristic
49C2×#542C2212yescomplemented
50C2×#542C2212yescomplemented
51C2×#536C2212yescomplemented
52C2×#535C2212yes—
53C2×#533C2212yescomplemented
54C2×#532C2211yescharacteristic
55C2×#529C2212yes—
56C2×#529C2212yes—
57C2×#529C2212yescomplemented
58C2×#529C2212yescomplemented
59C22×#124C2212yes—
60C2×#519C2212yescomplemented
61C2×#518C2212yes—
62C2×C4×#41C2212yescomplemented
63#2868C2211yescharacteristic, complemented
64#2858C2211yescharacteristic
65#2857C2211yescharacteristic, complemented
66#2857C2212yescomplemented
67#2856C2211yescharacteristic
68#2855C2212yescomplemented
69#2854C2212yescomplemented
70#2850C2212yes—
71#2730C2214yescomplemented
72#2730C2214yescomplemented
73#2728C2214yescomplemented
74#2723C2214yescomplemented
75#2718C2214yescomplemented
76#2716C2214yescomplemented
77#2715C2214yescomplemented
78#2715C2214yescomplemented
79#2712C2214yescomplemented
80#2710C2214yescomplemented
81#2710C2214yescomplemented
82#2709C2214yescomplemented
83#2706C2214yescomplemented
84#2705C2214yescomplemented
85#2705C2214yescomplemented
86#2700C2214yescomplemented
87#2697C2214yescomplemented
88#2696C2214yescomplemented
89#2685C2214yescomplemented
90#2674C2214yescomplemented
91#2674C2214yescomplemented
92#2672C2214yescomplemented
93#2670C2214yes—
94#2669C2214yes—
95#2640C2212yescomplemented
96#2628C2212yescomplemented
97#2620C2212yescomplemented
98#2620C2212yescomplemented
99#2616C2212yescomplemented
100#2615C2212yes—
101#2609C2214yescomplemented
102#2600C2214yescomplemented
103#2599C2214yescomplemented
104#2598C2214yescomplemented
105#2580C2214yescomplemented
106#2554C2214yescomplemented
107#2553C2214yescomplemented
108#2552C2211yescharacteristic, complemented
109#2552C2211yescharacteristic, complemented
110#2551C2212yescomplemented
111#2548C2211yescharacteristic
112#2548C2212yescomplemented
113#2547C2211yescharacteristic
114#2542C2212yes—
115#2542C2211yescharacteristic, complemented
116#2541C2211yescharacteristic
117#2541C2212yes—
118#2538C2212yes—
119#2538C2212yescomplemented
120#2538C2211yescharacteristic, complemented
121#2537C2211yescharacteristic
122#2534C2214yescomplemented
123#2512C2212yescomplemented
124#2512C2212yescomplemented
125#2512C2212yescomplemented
126#2512C2212yescomplemented
127#2512C2212yescomplemented
128#2501C2212yescomplemented
129#2501C2212yescomplemented
130#2496C2212yescomplemented
131#2496C2212yescomplemented
132#2496C2212yescomplemented
133#2491C2212yes—
134#2491C2212yes—
135#2491C2212yes—
136#2491C2212yescomplemented
137#2491C2212yescomplemented
138#2491C2212yescomplemented
139#2491C2212yescomplemented
140#2490C2212yescomplemented
141#2489C2212yescomplemented
142#2486C2212yescomplemented
143#2485C2214yescomplemented
144#2482C2214yescomplemented
145#2480C2214yescomplemented
146#2480C2214yescomplemented
147#2479C2214yescomplemented
148#2479C2214yescomplemented
149#2478C2214yescomplemented
150#2474C2214yescomplemented
151#2472C2214yes—
152#2472C2214yes—
153#2472C2214yescomplemented
154#2471C2214yescomplemented
155#2471C2214yescomplemented
156#2469C2214yescomplemented
157#2469C2214yescomplemented
158#2469C2214yescomplemented
159#2467C2214yescomplemented
160#2466C2214yescomplemented
161#2465C2214yescomplemented
162#2463C2214yescomplemented
163#2461C2214yescomplemented
164#2459C2214yescomplemented
165#2459C2214yescomplemented
166#2458C2214yescomplemented
167#2458C2214yescomplemented
168#2457C2214yescomplemented
169#2457C2214yescomplemented
170#2455C2214yescomplemented
171#2455C2214yescomplemented
172#2454C2212yescomplemented
173#2453C2212yescomplemented
174#2452C2212yescomplemented
175#2452C2212yescomplemented
176#2448C2212yescomplemented
177#2448C2214yescomplemented
178#2447C2212yes—
179#2445C2212yes—
180#2445C2214yescomplemented
181#2445C2212yescomplemented
182#2445C2212yescomplemented
183#2441C2212yescomplemented
184#2441C2212yescomplemented
185#2440C2212yescomplemented
186#2439C2214yescomplemented
187#2437C2214yescomplemented
188#2436C2212yes—
189#2435C2212yes—
190#2433C2212yes—
191#2429C2214yescomplemented
192#2427C2212yes—
193#2427C2212yescomplemented
194#2426C2212yescomplemented
195#2426C2212yescomplemented
196#2425C2214yescomplemented
197#2423C2214yescomplemented
198#2423C2212yescomplemented
199#2422C2212yes—
200#2422C2212yes—
201#2422C2212yescomplemented
202#2422C2212yescomplemented
203#2422C2212yescomplemented
204#2421C2214yescomplemented
205#2419C2214yescomplemented
206#2418C2214yescomplemented
207#2418C2214yescomplemented
208#2415C2212yescomplemented
209#2414C2212yes—
210#2412C2214yescomplemented
211#2411C2214yescomplemented
212#2409C2212yescomplemented
213#2408C2212yes—
214#2408C2212yes—
215#2395C2214yescomplemented
216#2392C2214yescomplemented
217#2367C2212yescomplemented
218#2367C2212yescomplemented
219#2366C2211yescharacteristic
220#2366C2211yescharacteristic
221#2366C2211yescharacteristic
222#2365C2211yescharacteristic, complemented
223#2365C2212yescomplemented
224#2365C2212yescomplemented
225#2365C2211yescharacteristic, complemented
226#2365C2211yescharacteristic, complemented
227#2364C2212yescomplemented
228#2364C2212yescomplemented
229#2363C2212yes—
230#2362C2214yescomplemented
231#2362C2212yescomplemented
232#2361C2212yes—
233#2361C2211yescharacteristic
234#2361C2211yescharacteristic
235#2361C2212yescomplemented
236#2361C2211yescharacteristic, complemented
237#2361C2211yescharacteristic, complemented
238#2358C2214yes—
239#2354C2211yescharacteristic
240#2354C2211yescharacteristic
241#2354C2212yes—
242#2354C2212yescomplemented
243Q8×C4⋊C4C2211yescharacteristic, complemented
244Q8×C4⋊C4C2212yescomplemented
245D4×C4⋊C4C2211yescharacteristic
246D4×C4⋊C4C2212yescomplemented
247#2344C2212yescomplemented
248Q8×C22⋊C4C2212yescomplemented
249D4×C22⋊C4C2212yes—
250D4×C22⋊C4C2212yes—
251D4×C22⋊C4C2212yes—
252D4×C22⋊C4C2212yes—
253#2337C2212yescomplemented
254#2335C2212yescomplemented
255#2334C2212yescomplemented
256#2332C2212yescomplemented
257#2331C2211yescharacteristic, complemented
258#2326C2211yescharacteristic
259#2326C2212yescomplemented
260#2324C2212yes—
261#2324C2211yescharacteristic
262#2323C2214yescomplemented
263#2323C2212yescomplemented
264#2323C2211yescharacteristic, complemented
265#2321C2214yes—
266#2320C2211yescharacteristic, complemented
267#2319C2211yescharacteristic
268#2314C2211yescharacteristic, complemented
269C4×C4⋊Q8C2212yescomplemented
270C4×C4⋊Q8C2211yescharacteristic, complemented
271C4×C4⋊Q8C2211yescharacteristic, complemented
272C4×#127C2211yescharacteristic
273C4×#127C2212yescomplemented
274C4×#126C2212yescomplemented
275C4×#124C2211yescharacteristic
276C4×#124C2212yescomplemented
277C4×C22⋊Q8C2211yescharacteristic, complemented
278C4×C22⋊Q8C2212yescomplemented
279C4×C22⋊Q8C2212yescomplemented
280C4×#123C2212yescomplemented
281C4×#121C2212yes—
282C4×#121C2211yescharacteristic
283C4×#121C2212yescomplemented
284C4×#121C2212yescomplemented
285#2297C2212yescomplemented
286#2293C2211yescharacteristic
287#2293C2212yes—
288#2293C2212yescomplemented
289#2293C2211yescharacteristic, complemented
290C2×#390C2212yes—
291#2290C2212yescomplemented
292#2290C2212yescomplemented
293#2285C2212yescomplemented
294C42×Q8C2211yescharacteristic, complemented
295C42×D4C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C42×D4C2211yescharacteristic, complemented
298C4×#117C2211yescharacteristic, complemented
299C2×C4×C4⋊C4C2211yescharacteristic, complemented
300C22×#41C2312yes—
301C23×Q8C2312yes—
302C23×D4C2312yes—
303C23×D4C2312yes—
304#559—232no—
305#559—232no—
306#556—232no—
307#556—232no—
308#551—232no—
309#551—232no—
310#551—232no—
311#551—232no—
312D4×Q8—28no—
313D42—28no—
314#542—216no—
315#542—216no—
316#542—216no—
317#542D4116yescomplemented
318#536—216no—
319#535—216no—
320#533—216no—
321#532—28no—
322C2×C4⋊Q8C2311yescharacteristic
323C2×C4⋊Q8C2312yes—
324C2×C4⋊Q8C2312yes—
325C2×C4⋊Q8C2311yescharacteristic
326C2×C4⋊Q8C2314yes—
327C2×C4⋊Q8C2312yes—
328C2×C4⋊Q8C2312yes—
329C2×C4⋊Q8C2311yescharacteristic
330C2×#127C2311yescharacteristic
331C2×#127C2311yescharacteristic
332C2×#127C2314yes—
333C2×#127C2312yes—
334#529—216no—
335#529—216no—
336#529—216no—
337#529—216no—
338C2×#126C2314yes—
339C2×#126C2314yes—
340C2×#126C2314yes—
341C2×#126C2314yes—
342C2×#126C2314yes—
343C2×#126C2314yes—
344C2×#126C2314yes—
345C2×#126C2312yes—
346C2×#125C2312yes—
347C2×#125C2312yes—
348C2×#124—216no—
349C2×#124C2312yes—
350C2×#124C2312yes—
351C2×#124C2312yes—
352C2×#124C2312yes—
353C2×#124C2314yes—
354C2×#124C2314yes—
355C2×#124C2314yes—
356C2×#124C2314yes—
357C2×#124C2314yes—
358C2×#124C2314yes—
359C2×#124C2314yes—
360C2×#124C2312yes—
361C2×#124C2311yescharacteristic
362C2×#124C2312yes—
363C2×#123C2314yes—
364C2×#123C2314yes—
365C2×#123C2314yes—
366C2×#123C2314yes—
367C2×#123C2314yes—
368C2×#123C2314yes—
369C2×#123C2314yes—
370C2×#123C2314yes—
371C2×#123C2314yes—
372C2×#123C2314yes—
373C2×#123C2314yes—
374C2×#123C2312yes—
375C2×C22⋊Q8C2312yes—
376C2×C22⋊Q8C2314yes—
377C2×C22⋊Q8C2312yes—
378C2×C22⋊Q8C2312yes—
379C2×C22⋊Q8C2312yes—
380C2×C22⋊Q8C2314yes—
381C2×C22⋊Q8C2314yes—
382C2×C22⋊Q8C2314yes—
383C2×C22⋊Q8C2314yes—
384C2×C22⋊Q8C2314yes—
385C2×C22⋊Q8C2312yes—
386C2×C22⋊Q8C2314yes—
387C2×C22⋊Q8C2311yescharacteristic
388C2×C22⋊Q8C2312yes—
389C2×#121C2312yes—
390C2×#121C2312yes—
391C2×#121C2311yescharacteristic
392C2×#121C2312yes—
393C2×#121C2311yescharacteristic
394C2×#121C2312yes—
395C2×#121C2312yes—
396C2×#121C2312yes—
397C2×#121C2312yes—
398C2×#121C2312yes—
399C2×#121C2312yes—
400C2×#121C2312yes—
401C2×#121C2311yescharacteristic
402C2×#120C2314yes—
403C2×#120C2314yes—
404C2×#120C2314yes—
405C2×#120C2314yes—
406#519—216no—
407#518—216no—
408C4×#41—216no—
409C2×C4×Q8C2314yes—
410C2×C4×Q8C2312yes—
411C2×C4×Q8C2312yes—
412C2×C4×Q8C2314yes—
413C2×C4×Q8C2311yescharacteristic
414C2×C4×Q8C2312yes—
415C2×C4×Q8C2314yes—
416C2×C4×Q8C2312yes—
417C2×C4×Q8C2312yes—
418C2×C4×Q8C2314yes—
419C2×C4×Q8C2312yes—
420C2×C4×Q8C2311yescharacteristic
421C2×C4×Q8C2311yescharacteristic
422C2×C4×D4C2312yes—
423C2×C4×D4C2314yes—
424C2×C4×D4C2314yes—
425C2×C4×D4C2312yes—
426C2×C4×D4C2312yes—
427C2×C4×D4C2314yes—
428C2×C4×D4C2311yescharacteristic
429C2×C4×D4C2314yes—
430C2×C4×D4C2314yes—
431C2×C4×D4C2312yes—
432C2×C4×D4C2312yes—
433C2×C4×D4C2312yes—
434C2×C4×D4C2312yes—
435C2×C4×D4C2314yes—
436C2×C4×D4C2312yes—
437C2×C4×D4C2312yes—
438C2×C4×D4C2312yes—
439C2×C4×D4C2312yes—
440C2×C4×D4C2311yescharacteristic
441C2×C4×D4C2312yes—
442C2×C4×D4C2311yescharacteristic
443C2×C4×D4C2311yescharacteristic
444C2×C4×D4C2311yescharacteristic
445C2×C4×D4C2311yescharacteristic
446C2×C4×D4C2312yes—
447C2×C4×D4C2312yes—
448C2×C4×D4C2311yescharacteristic
449C2×C4×D4C2312yes—
450C2×C4×D4C2314yes—
451C2×C4×D4C2311yescharacteristic
452C2×C4×D4C2311yescharacteristic
453C2×#117C2312yes—
454C2×#117C2314yes—
455C2×#117C2314yes—
456C2×#117C2314yes—
457C2×#117C2312yes—
458C2×#117C2314yes—
459C2×#117C2312yes—
460C2×#117C2314yes—
461C2×#117C2312yes—
462C2×#117C2314yes—
463C2×#117C2311yescharacteristic
464C2×#117C2311yescharacteristic
465C22×C4⋊C4C2312yes—
466C22×C4⋊C4C2311yescharacteristic
467C22×C4⋊C4C2311yescharacteristic
468C22×C22⋊C4C2314yes—
469C22×C22⋊C4C2314yes—
470C22×C22⋊C4C2314yes—
471C22×C22⋊C4C2314yes—
472C22×C22⋊C4C2314yes—
473C22×C42C2312yes—
474C22×C42C2312yes—
475C22×C42C2311yescharacteristic
476C22×C42C2312yes—
477C22×C42C2312yes—
478#400C2314yes—
479#400C2314yes—
480#400C2314yes—
481#399C2314yes—
482#399C2314yes—
483#399C2314yes—
484#399C2314yes—
485#399C2314yes—
486#399C2314yes—
487#399C2314yes—
488#398C2314yes—
489#398C2314yes—
490#398C2314yes—
491#398C2314yes—
492#397C2314yes—
493#397C2314yes—
494#397C2314yes—
495#397C2314yes—
496#397C2314yes—
497#397C2314yes—
498#397C2314yes—
499#397C2314yes—
500#397C2314yes—
501#397C2314yes—
502#397C2314yes—
503#397C2314yes—
504#396C2314yes—
505#396C2314yes—
506#396C2314yes—
507#396C2314yes—
508#396C2314yes—
509#396C2314yes—
510#396C2314yes—
511#396C2314yes—
512#396C2314yes—
513#396C2314yes—
514#395C2314yes—
515#395C2314yes—
516#395C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#394C2314yes—
536#394C2314yes—
537#393C2314yes—
538#393C2314yes—
539#393C2314yes—
540#393C2314yes—
541#393C2314yes—
542#393C2314yes—
543#393C2314yes—
544#392C2314yes—
545#392C2314yes—
546#392C2314yes—
547#392C2314yes—
548#392C2314yes—
549#392C2314yes—
550#391C2312yes—
551#391C2312yes—
552#391C2314yes—
553#391C2311yescharacteristic
554#391C2311yescharacteristic
555#391C2312yes—
556#391C2314yes—
557#391C2312yes—
558#391C2312yes—
559#391C2312yes—
560#391C2312yes—
561#391C2314yes—
562#391C2312yes—
563#391C2312yes—
564#390C2312yes—
565#390C2312yes—
566#390C2312yes—
567#390C2312yes—
568#390C2314yes—
569#390C2314yes—
570#390C2312yes—
571#390C2311yescharacteristic
572#390C2311yescharacteristic
573#390C2314yes—
574#390C2312yes—
575#390C2312yes—
576#390C2314yes—
577#390C2314yes—
578#390C2312yes—
579#390C2311yescharacteristic
580#390C2312yes—
581#390C2312yes—
582#390C2312yes—
583#390C2312yes—
584#390C2312yes—
585#390C2312yes—
586#390C2312yes—
587#390C2312yes—
588#390C2312yes—
589#390C2311yescharacteristic
590#390C2312yes—
591#390C2314yes—
592#390C2312yes—
593#390C2311yescharacteristic
594#390C2311yescharacteristic
595#390C2312yes—
596#390C2312yes—
597#390C2312yes—
598#390C2312yes—
599#389C2311yescharacteristic
600#389C2312yes—
601#389C2311yescharacteristic
602#389C2311yescharacteristic
603#389C2312yes—
604#389C2314yes—
605#389C2312yes—
606#389C2311yescharacteristic
607#389C2311yescharacteristic
608#389C2312yes—
609#389C2312yes—
610#389C2314yes—
611#389C2312yes—
612#389C2314yes—
613#389C2314yes—
614#389C2312yes—
615#389C2312yes—
616#389C2312yes—
617#389C2312yes—
618#389C2314yes—
619#389C2312yes—
620#389C2314yes—
621#389C2311yescharacteristic
622#389C2311yescharacteristic
623#389C2311yescharacteristic
624#389C2312yes—
625#389C2312yes—
626#389C2314yes—
627#389C2312yes—
628#388C2312yes—
629#388C2312yes—
630#388C2312yes—
631#388C2312yes—
632#388C2312yes—
633#388C2312yes—
634#388C2312yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2312yes—
639#388C2314yes—
640#388C2312yes—
641#388C2312yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2312yes—
646#388C2314yes—
647#388C2314yes—
648#388C2312yes—
649#388C2312yes—
650#388C2312yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2312yes—
661#388C2314yes—
662#388C2312yes—
663#388C2312yes—
664#388C2312yes—
665#388C2314yes—
666#388C2312yes—
667#388C2312yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#387C2312yes—
673#387C2312yes—
674#387C2312yes—
675#387C2312yes—
676#387C2312yes—
677#387C2312yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#387C2312yes—
682#387C2312yes—
683#387C2312yes—
684#387C2314yes—
685#387C2314yes—
686#387C2314yes—
687#387C2314yes—
688#387C2314yes—
689#387C2314yes—
690#387C2314yes—
691#387C2312yes—
692#387C2312yes—
693#387C2312yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2312yes—
698#386C2314yes—
699#386C2312yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2312yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2312yes—
711#386C2312yes—
712#386C2312yes—
713#386C2312yes—
714#386C2312yes—
715#386C2312yes—
716#386C2312yes—
717#386C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2312yes—
721#385C2312yes—
722#385C2314yes—
723#385C2314yes—
724#385C2312yes—
725#385C2312yes—
726#385C2314yes—
727#385C2312yes—
728#385C2314yes—
729#385C2312yes—
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2312yes—
734#385C2312yes—
735#385C2314yes—
736#384C2311yescharacteristic
737#384C2312yes—
738#384C2311yescharacteristic
739#384C2311yescharacteristic
740#384C2312yes—
741#384C2312yes—
742#384C2312yes—
743#384C2312yes—
744#384C2312yes—
745#384C2312yes—
746#383C2312yes—
747#382C2311yescharacteristic
748#382C2312yes—
749#382C2314yes—
750#381C2312yes—
751#381C2314yes—
752#381C2314yes—
753#380C2311yescharacteristic
754#380C2311yescharacteristic
755#380C2312yes—
756#380C2312yes—
757#380C2314yes—
758#380C2312yes—
759#380C2312yes—
760#380C2312yes—
761#380C2312yes—
762#380C2312yes—
763#380C2314yes—
764#380C2312yes—
765#380C2314yes—
766#380C2312yes—
767#380C2312yes—
768#380C2312yes—
769#380C2314yes—
770#380C2314yes—
771#379C2314yes—
772#379C2314yes—
773#379C2314yes—
774#379C2314yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2314yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2311yescharacteristic
800C4×C4⋊C4C2311yescharacteristic
801C4×C4⋊C4C2311yescharacteristic
802C4×C4⋊C4C2311yescharacteristic
803C4×C4⋊C4C2311yescharacteristic
804C4×C4⋊C4C2312yes—
805C4×C4⋊C4C2314yes—
806C4×C4⋊C4C2312yes—
807C4×C4⋊C4C2311yescharacteristic
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2311yescharacteristic
814C4×C22⋊C4C2311yescharacteristic
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2314yes—
818C4×C22⋊C4C2314yes—
819C4×C22⋊C4C2311yescharacteristic
820C4×C22⋊C4C2311yescharacteristic
821C4×C22⋊C4C2312yes—
822C4×C22⋊C4C2312yes—
823C4×C22⋊C4C2312yes—
824C4×C22⋊C4C2312yes—
825C4×C22⋊C4C2312yes—
826C4×C22⋊C4C2314yes—
827C4×C22⋊C4C2314yes—
828C4×C22⋊C4C2312yes—
829C4×C22⋊C4C2312yes—
830C4×C22⋊C4C2312yes—
831#376C2311yescharacteristic
832#376C2311yescharacteristic
833C2×#95C2312yes—
834C43C2312yes—
835C43C2311yescharacteristic
836C43C2311yescharacteristic
837C25C2414yes—
838C2×#41—28no—
839C2×#41—28no—
840C2×#41—44no—
841C22×Q8—28no—
842C22×Q8—28no—
843C22×Q8—44no—
844C22×Q8C2412yes—
845C22×Q8C2414yes—
846C22×Q8C2412yes—
847C22×Q8C2411yescharacteristic
848C22×Q8C2414yes—
849C22×Q8C2412yes—
850C22×D4—28no—
851C22×D4—28no—
852C22×D4—28no—
853C22×D4—44no—
854C22×D4—44no—
855C22×D4—44no—
856C22×D4C2411yescharacteristic
857C22×D4C2412yes—
858C22×D4C2412yes—
859C22×D4C2412yes—
860C22×D4C2412yes—
861C22×D4C2414yes—
862C22×D4C2412yes—
863C22×D4C2411yescharacteristic
864C22×D4C2411yescharacteristic
865C22×D4C2414yes—
866C22×D4C2412yes—
867C22×D4C2412yes—
868C22×D4C2414yes—
869C22×D4C2414yes—
870C22×D4C2414yes—
871C22×D4C2414yes—
872C22×D4C2412yes—
873C23×C4C2411yescharacteristic
874C23×C4C2412yes—
875C23×C4C2412yes—
876C23×C4C2414yes—
877C23×C4C2411yescharacteristic
878C23×C4C2412yes—
879C23×C4C2414yes—
880C23×C4C2412yes—
881C23×C4C2412yes—
882C23×C4C2414yes—
883C23×C4C2414yes—
884C23×C4C2412yes—
885C23×C4C2412yes—
886C23×C4C2412yes—
887C23×C4C2412yes—
888C23×C4C2411yescharacteristic
889C23×C4C2412yes—
890C23×C4C2412yes—
891C4⋊Q8—216no—
892C4⋊Q8—24no—
893C4⋊Q8—28no—
894C4⋊Q8—28no—
895C4⋊Q8—24no—
896C4⋊Q8—44no—
897C4⋊Q8—82no—
898C4⋊Q8C2×D418yescomplemented
899#127—216no—
900#127—24no—
901#127—24no—
902#127—44no—
903#126—216no—
904#126—216no—
905#126—216no—
906#126—216no—
907#126—216no—
908#126—216no—
909#126—216no—
910#126C2×D4116yescomplemented
911#125—28no—
912#125—28no—
913#124—28no—
914#124—216no—
915#124—28no—
916#124—216no—
917#124—216no—
918#124—216no—
919#124—216no—
920#124—216no—
921#124—216no—
922#124—28no—
923#124—28no—
924#124—44no—
925#124C2×D418yes—
926#124C2×D4116yescomplemented
927#123—216no—
928#123—216no—
929#123—216no—
930#123—216no—
931#123—216no—
932#123—216no—
933#123—216no—
934#123—216no—
935#123—216no—
936#123—84no—
937#123—84no—
938#123C2×D4116yescomplemented
939C22⋊Q8—28no—
940C22⋊Q8—216no—
941C22⋊Q8—216no—
942C22⋊Q8—28no—
943C22⋊Q8—28no—
944C22⋊Q8—28no—
945C22⋊Q8—216no—
946C22⋊Q8—216no—
947C22⋊Q8—216no—
948C22⋊Q8—216no—
949C22⋊Q8—44no—
950C22⋊Q8—84no—
951C22⋊Q8C2×D418yescomplemented
952C22⋊Q8C2×D4116yescomplemented
953#121—28no—
954#121—24no—
955#121—28no—
956#121—28no—
957#121—28no—
958#121—24no—
959#121—28no—
960#121—28no—
961#121—44no—
962#121—44no—
963#121—44no—
964#121—82no—
965#121C2×D418yes—
966#120—216no—
967#120—216no—
968#120—216no—
969#120—84no—
970C4×Q8—28no—
971C4×Q8—216no—
972C4×Q8—28no—
973C4×Q8—28no—
974C4×Q8—28no—
975C4×Q8—216no—
976C4×Q8—216no—
977C4×Q8—28no—
978C4×Q8—216no—
979C4×Q8—24no—
980C4×Q8—44no—
981C4×Q8—42no—
982C4×Q8C2×D418yescomplemented
983C4×D4—28no—
984C4×D4—216no—
985C4×D4—28no—
986C4×D4—216no—
987C4×D4—216no—
988C4×D4—28no—
989C4×D4—28no—
990C4×D4—28no—
991C4×D4—28no—
992C4×D4—28no—
993C4×D4—28no—
994C4×D4—28no—
995C4×D4—28no—
996C4×D4—216no—
997C4×D4—216no—
998C4×D4—28no—
999C4×D4—216no—
1000C4×D4—24no—
1001C4×D4—24no—
1002C4×D4—42no—
1003C4×D4—44no—
1004C4×D4—42no—
1005C4×D4—42no—
1006C4×D4—44no—
1007C4×D4—42no—
1008C4×D4—42no—
1009C4×D4—44no—
1010C4×D4—82no—
1011C4×D4—84no—
1012C4×D4C2×D418yes—
1013C4×D4#4118yes—
1014#117—216no—
1015#117—28no—
1016#117—28no—
1017#117—216no—
1018#117—216no—
1019#117—216no—
1020#117—28no—
1021#117—28no—
1022#117—216no—
1023#117—216no—
1024#117—42no—
1025#117C2×D418yescomplemented
1026C2×C4⋊C4—42no—
1027C2×C4⋊C4—44no—
1028C2×C4⋊C4—42no—
1029C2×C4⋊C4C2411yescharacteristic
1030C2×C4⋊C4C2411yescharacteristic
1031C2×C4⋊C4C2411yescharacteristic
1032C2×C4⋊C4C2411yescharacteristic
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2411yescharacteristic
1051C2×C4⋊C4C2411yescharacteristic
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2411yescharacteristic
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2411yescharacteristic
1056C2×C4⋊C4C2411yescharacteristic
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2414yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2414yes—
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2414yes—
1065C2×C4⋊C4C2411yescharacteristic
1066C2×C4⋊C4C2411yescharacteristic
1067C2×C4⋊C4C2414yes—
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2412yes—
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2414yes—
1077C2×C4⋊C4C2414yes—
1078C2×C4⋊C4C2414yes—
1079C2×C4⋊C4C2414yes—
1080C2×C4⋊C4C2414yes—
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2411yescharacteristic
1083C2×C4⋊C4C2411yescharacteristic
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2411yescharacteristic
1087C2×C4⋊C4C2411yescharacteristic
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2411yescharacteristic
1090C2×C22⋊C4—216no—
1091C2×C22⋊C4—216no—
1092C2×C22⋊C4—216no—
1093C2×C22⋊C4—216no—
1094C2×C22⋊C4—84no—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2411yescharacteristic
1127C2×C22⋊C4C2411yescharacteristic
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2411yescharacteristic
1160C2×C22⋊C4C2411yescharacteristic
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2412yes—
1163C2×C42—28no—
1164C2×C42—28no—
1165C2×C42—28no—
1166C2×C42—24no—
1167C2×C42—44no—
1168C2×C42C2412yes—
1169C2×C42C2414yes—
1170C2×C42C2414yes—
1171C2×C42C2414yes—
1172C2×C42C2412yes—
1173C2×C42C2412yes—
1174C2×C42C2412yes—
1175C2×C42C2412yes—
1176C2×C42C2414yes—
1177C2×C42C2411yescharacteristic
1178C2×C42C2414yes—
1179C2×C42C2411yescharacteristic
1180C2×C42C2411yescharacteristic
1181C2×C42C2411yescharacteristic
1182C2×C42C2412yes—
1183C2×C42C2412yes—
1184C2×C42C2411yescharacteristic
1185C2×C42C2412yes—
1186C2×C42C2412yes—
1187C2×C42C2412yes—
1188C2×C42C2411yescharacteristic
1189C2×C42C2411yescharacteristic
1190C2×C42C2412yes—
1191C2×C42C2411yescharacteristic
1192C2×C42C2411yescharacteristic
1193C2×C42C2411yescharacteristic
1194C2×C42C2412yes—
1195C2×C42C2412yes—
1196C2×C42C2411yescharacteristic
1197C2×C42C2411yescharacteristic
1198C2×C42C2411yescharacteristic
1199C2×C42C2412yes—
1200C2×C42C2412yes—
1201C2×C42C2412yes—
1202C2×C42C2412yes—
1203C2×C42C2411yescharacteristic
1204C2×C42C2411yescharacteristic
1205C2×C42C2411yescharacteristic
1206#95C2412yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2411yescharacteristic
1211#95C2411yescharacteristic
1212#95C2411yescharacteristic
1213#95C2411yescharacteristic
1214#95C2411yescharacteristic
1215#95C2411yescharacteristic
1216#95C2411yescharacteristic
1217#95C2411yescharacteristic
1218#95C2412yes—
1219#95C2412yes—
1220#95C2412yes—
1221#95C2412yes—
1222#95C2412yes—
1223#95C2412yes—
1224#95C2412yes—
1225#95C2412yes—
1226#95C2412yes—
1227#95C2414yes—
1228#95C2412yes—
1229#95C2414yes—
1230#95C2414yes—
1231#95C2414yes—
1232#95C2414yes—
1233#95C2414yes—
1234#95C2414yes—
1235#95C2412yes—
1236#95C2412yes—
1237#95C2412yes—
1238#95C2412yes—
1239#95C2412yes—
1240#95C2412yes—
1241#95C2412yes—
1242#95C2412yes—
1243#95C2412yes—
1244#95C2412yes—
1245#95C2412yes—
1246#95C2412yes—
1247#95C2414yes—
1248#95C2414yes—
1249#95C2414yes—
1250#95C2414yes—
1251#95C2414yes—
1252#95C2414yes—
1253#95C2412yes—
1254#95C2414yes—
1255#95C2412yes—
1256#95C2412yes—
1257#95C2412yes—
1258#95C2414yes—
1259#95C2414yes—
1260C24—28no—
1261C24—28no—
1262C24—44no—
1263C24—44no—
1264C24—44no—
1265C24—44no—
1266C24—44no—
1267C24C2514yes—
1268C24C2512yes—
1269C24C2512yes—
1270C24C2511yescharacteristic
1271C24C2512yes—
1272#41—432no—
1273C2×Q8—24no—
1274C2×Q8—28no—
1275C2×Q8—24no—
1276C2×Q8—28no—
1277C2×Q8—22no—
1278C2×Q8—28no—
1279C2×Q8—24no—
1280C2×Q8—24no—
1281C2×Q8—22no—
1282C2×Q8—24no—
1283C2×Q8—42no—
1284C2×Q8—44no—
1285C2×Q8—42no—
1286C2×Q8—42no—
1287C2×Q8—44no—
1288C2×Q8—44no—
1289C2×Q8—432no—
1290C2×Q8C22×D414yes—
1291C2×Q8C22×D418yes—
1292C2×D4—24no—
1293C2×D4—28no—
1294C2×D4—24no—
1295C2×D4—24no—
1296C2×D4—24no—
1297C2×D4—28no—
1298C2×D4—28no—
1299C2×D4—24no—
1300C2×D4—28no—
1301C2×D4—24no—
1302C2×D4—24no—
1303C2×D4—28no—
1304C2×D4—22no—
1305C2×D4—22no—
1306C2×D4—28no—
1307C2×D4—24no—
1308C2×D4—24no—
1309C2×D4—24no—
1310C2×D4—24no—
1311C2×D4—22no—
1312C2×D4—22no—
1313C2×D4—22no—
1314C2×D4—22no—
1315C2×D4—24no—
1316C2×D4—22no—
1317C2×D4—24no—
1318C2×D4—24no—
1319C2×D4—432no—
1320C2×D4—42no—
1321C2×D4—44no—
1322C2×D4—42no—
1323C2×D4—42no—
1324C2×D4—42no—
1325C2×D4—42no—
1326C2×D4—44no—
1327C2×D4—42no—
1328C2×D4—42no—
1329C2×D4—44no—
1330C2×D4—44no—
1331C2×D4—44no—
1332C2×D4—44no—
1333C2×D4—44no—
1334C2×D4—44no—
1335C2×D4—44no—
1336C2×D4—44no—
1337C2×D4—44no—
1338C2×D4—42no—
1339C2×D4—44no—
1340C2×D4—42no—
1341C2×D4—816no—
1342C2×D4C22×D414yes—
1343C2×D4C22×D418yes—
1344C2×D4C2×#4114yes—
1345C22×C4—24no—
1346C22×C4—22no—
1347C22×C4—22no—
1348C22×C4—24no—
1349C22×C4—28no—
1350C22×C4—24no—
1351C22×C4—24no—
1352C22×C4—28no—
1353C22×C4—24no—
1354C22×C4—28no—
1355C22×C4—22no—
1356C22×C4—24no—
1357C22×C4—24no—
1358C22×C4—24no—
1359C22×C4—22no—
1360C22×C4—22no—
1361C22×C4—24no—
1362C22×C4—24no—
1363C22×C4—24no—
1364C22×C4—24no—
1365C22×C4—24no—
1366C22×C4—24no—
1367C22×C4—28no—
1368C22×C4—28no—
1369C22×C4—22no—
1370C22×C4—42no—
1371C22×C4—42no—
1372C22×C4—44no—
1373C22×C4—42no—
1374C22×C4—42no—
1375C22×C4—44no—
1376C22×C4—42no—
1377C22×C4—42no—
1378C22×C4—44no—
1379C22×C4—42no—
1380C22×C4—44no—
1381C22×C4—42no—
1382C22×C4—42no—
1383C22×C4—44no—
1384C22×C4—42no—
1385C22×C4—42no—
1386C22×C4—44no—
1387C22×C4—42no—
1388C22×C4—41no—
1389C22×C4—42no—
1390C22×C4—42no—
1391C22×C4—41no—
1392C22×C4—42no—
1393C22×C4—42no—
1394C22×C4—44no—
1395C22×C4—42no—
1396C22×C4C22×D414yes—
1397C22×C4C22×D418yes—
1398C22×C4C2×#4118yes—
1399C22×C4C2511yescharacteristic
1400C22×C4C2512yes—
1401C22×C4C2511yescharacteristic
1402C22×C4C2511yescharacteristic
1403C22×C4C2511yescharacteristic
1404C22×C4C2512yes—
1405C22×C4C2511yescharacteristic
1406C22×C4C2512yes—
1407C22×C4C2512yes—
1408C22×C4C2512yes—
1409C22×C4C2512yes—
1410C22×C4C2511yescharacteristic
1411C22×C4C2514yes—
1412C22×C4C2512yes—
1413C22×C4C2512yes—
1414C22×C4C2512yes—
1415C22×C4C2514yes—
1416C22×C4C2514yes—
1417C22×C4C2511yescharacteristic
1418C22×C4C2511yescharacteristic
1419C22×C4C2512yes—
1420C22×C4C2511yescharacteristic
1421C22×C4C2511yescharacteristic
1422C22×C4C2512yes—
1423C22×C4C2511yescharacteristic
1424C22×C4C2512yes—
1425C22×C4C2511yescharacteristic
1426C22×C4C2512yes—
1427C22×C4C2511yescharacteristic
1428C22×C4C2511yescharacteristic
1429C4⋊C4—28no—
1430C4⋊C4—28no—
1431C4⋊C4—24no—
1432C4⋊C4—24no—
1433C4⋊C4—24no—
1434C4⋊C4—24no—
1435C4⋊C4—24no—
1436C4⋊C4—24no—
1437C4⋊C4—28no—
1438C4⋊C4—28no—
1439C4⋊C4—28no—
1440C4⋊C4—28no—
1441C4⋊C4—28no—
1442C4⋊C4—28no—
1443C4⋊C4—28no—
1444C4⋊C4—28no—
1445C4⋊C4—28no—
1446C4⋊C4—22no—
1447C4⋊C4—24no—
1448C4⋊C4—22no—
1449C4⋊C4—24no—
1450C4⋊C4—24no—
1451C4⋊C4—22no—
1452C4⋊C4—28no—
1453C4⋊C4—24no—
1454C4⋊C4—22no—
1455C4⋊C4—22no—
1456C4⋊C4—22no—
1457C4⋊C4—22no—
1458C4⋊C4—24no—
1459C4⋊C4—22no—
1460C4⋊C4—22no—
1461C4⋊C4—24no—
1462C4⋊C4—42no—
1463C4⋊C4—42no—
1464C4⋊C4—44no—
1465C4⋊C4—42no—
1466C4⋊C4—41no—
1467C4⋊C4—41no—
1468C4⋊C4—42no—
1469C4⋊C4—44no—
1470C4⋊C4—42no—
1471C4⋊C4—42no—
1472C4⋊C4—42no—
1473C4⋊C4—42no—
1474C4⋊C4—42no—
1475C4⋊C4—42no—
1476C4⋊C4—44no—
1477C4⋊C4—42no—
1478C4⋊C4—44no—
1479C4⋊C4—44no—
1480C4⋊C4—44no—
1481C4⋊C4—44no—
1482C4⋊C4C22×D414yes—
1483C4⋊C4C22×D414yes—
1484C4⋊C4C22×D418yes—
1485C4⋊C4C22×D418yes—
1486C4⋊C4C22×D414yes—
1487C4⋊C4C22×D414yes—
1488C4⋊C4C22×D418yes—
1489C4⋊C4C2×#4114yes—
1490C22⋊C4—28no—
1491C22⋊C4—28no—
1492C22⋊C4—28no—
1493C22⋊C4—28no—
1494C22⋊C4—28no—
1495C22⋊C4—24no—
1496C22⋊C4—28no—
1497C22⋊C4—24no—
1498C22⋊C4—24no—
1499C22⋊C4—28no—
1500C22⋊C4—28no—
1501C22⋊C4—28no—
1502C22⋊C4—28no—
1503C22⋊C4—28no—
1504C22⋊C4—28no—
1505C22⋊C4—28no—
1506C22⋊C4—28no—
1507C22⋊C4—24no—
1508C22⋊C4—24no—
1509C22⋊C4—28no—
1510C22⋊C4—28no—
1511C22⋊C4—28no—
1512C22⋊C4—28no—
1513C22⋊C4—24no—
1514C22⋊C4—24no—
1515C22⋊C4—24no—
1516C22⋊C4—28no—
1517C22⋊C4—42no—
1518C22⋊C4—44no—
1519C22⋊C4—44no—
1520C22⋊C4—44no—
1521C22⋊C4—42no—
1522C22⋊C4—42no—
1523C22⋊C4—42no—
1524C22⋊C4—44no—
1525C22⋊C4—41no—
1526C22⋊C4—41no—
1527C22⋊C4—42no—
1528C22⋊C4—42no—
1529C22⋊C4—44no—
1530C22⋊C4—42no—
1531C22⋊C4—44no—
1532C22⋊C4—42no—
1533C22⋊C4—42no—
1534C22⋊C4—42no—
1535C22⋊C4—42no—
1536C22⋊C4—44no—
1537C22⋊C4—44no—
1538C22⋊C4—42no—
1539C22⋊C4—44no—
1540C22⋊C4—44no—
1541C22⋊C4—44no—
1542C22⋊C4—44no—
1543C22⋊C4—44no—
1544C22⋊C4—44no—
1545C22⋊C4—42no—
1546C22⋊C4—42no—
1547C22⋊C4—42no—
1548C22⋊C4—44no—
1549C22⋊C4—44no—
1550C22⋊C4C22×D418yes—
1551C22⋊C4C22×D418yes—
1552C22⋊C4C22×D418yes—
1553C22⋊C4C22×D418yes—
1554C22⋊C4C22×D414yes—
1555C22⋊C4C22×D414yes—
1556C22⋊C4C22×D418yes—
1557C22⋊C4C2×#4118yes—
1558C42—24no—
1559C42—24no—
1560C42—24no—
1561C42—24no—
1562C42—24no—
1563C42—24no—
1564C42—24no—
1565C42—24no—
1566C42—28no—
1567C42—28no—
1568C42—28no—
1569C42—28no—
1570C42—28no—
1571C42—22no—
1572C42—22no—
1573C42—22no—
1574C42—24no—
1575C42—22no—
1576C42—24no—
1577C42—22no—
1578C42—22no—
1579C42—22no—
1580C42—22no—
1581C42—24no—
1582C42—22no—
1583C42—42no—
1584C42—42no—
1585C42—41no—
1586C42—41no—
1587C42—42no—
1588C42—41no—
1589C42—42no—
1590C42—42no—
1591C42—41no—
1592C42C22×D414yes—
1593C42C22×D414yes—
1594C42C22×D418yes—
1595C42C2×#4114yes—
1596C23—22no—
1597C23—22no—
1598C23—21no—
1599C23—21no—
1600C23—21no—
1601C23—22no—
1602C23—22no—
1603C23—22no—
1604C23—22no—
1605C23—21no—
1606C23—22no—
1607C23—22no—
1608C23—22no—
1609C23—21no—
1610C23—22no—
1611C23—22no—
1612C23—22no—
1613C23—21no—
1614C23—24no—
1615C23—22no—
1616C23—22no—
1617C23—24no—
1618C23—22no—
1619C23—24no—
1620C23—22no—
1621C23—24no—
1622C23—22no—
1623C23—24no—
1624C23—24no—
1625C23—22no—
1626C23—22no—
1627C23—24no—
1628C23—416no—
1629C23—88no—
1630C23—88no—
1631C23—88no—
1632C23—88no—
1633C23—164no—
1634C23—164no—
1635C23C23×D414yes—
1636C23C23×D412yes—
1637C23C22×#4114yes—
1638C23C2611yescharacteristic
1639Q8—28no—
1640Q8—48no—
1641Q8—416no—
1642Q8—48no—
1643Q8—48no—
1644Q8—88no—
1645D4—28no—
1646D4—28no—
1647D4—48no—
1648D4—416no—
1649D4—48no—
1650D4—48no—
1651D4—48no—
1652D4—48no—
1653D4—44no—
1654D4—48no—
1655D4—88no—
1656D4—84no—
1657D4—88no—
1658D4—88no—
1659D4—84no—
1660D4—88no—
1661D4—88no—
1662C2×C4—22no—
1663C2×C4—21no—
1664C2×C4—22no—
1665C2×C4—21no—
1666C2×C4—22no—
1667C2×C4—21no—
1668C2×C4—22no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—22no—
1672C2×C4—21no—
1673C2×C4—22no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—22no—
1681C2×C4—22no—
1682C2×C4—28no—
1683C2×C4—216no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—22no—
1688C2×C4—24no—
1689C2×C4—24no—
1690C2×C4—22no—
1691C2×C4—24no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—22no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—24no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—22no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—22no—
1707C2×C4—21no—
1708C2×C4—22no—
1709C2×C4—22no—
1710C2×C4—21no—
1711C2×C4—22no—
1712C2×C4—24no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—24no—
1717C2×C4—21no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—24no—
1721C2×C4—22no—
1722C2×C4—22no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—22no—
1726C2×C4—21no—
1727C2×C4—22no—
1728C2×C4—22no—
1729C2×C4—24no—
1730C2×C4—22no—
1731C2×C4—24no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—22no—
1735C2×C4—22no—
1736C2×C4—22no—
1737C2×C4—21no—
1738C2×C4—48no—
1739C2×C4—416no—
1740C2×C4—48no—
1741C2×C4—44no—
1742C2×C4—48no—
1743C2×C4—84no—
1744C2×C4—88no—
1745C2×C4—84no—
1746C2×C4—84no—
1747C2×C4—88no—
1748C2×C4—84no—
1749C2×C4—82no—
1750C2×C4—84no—
1751C2×C4—84no—
1752C2×C4—88no—
1753C2×C4—84no—
1754C2×C4C23×D412yes—
1755C2×C4C23×D414yes—
1756C2×C4C23×D412yes—
1757C2×C4C23×D412yes—
1758C2×C4C23×D412yes—
1759C2×C4C23×D414yes—
1760C2×C4C23×D412yes—
1761C2×C4C23×D414yes—
1762C2×C4C23×D412yes—
1763C2×C4C22×#4112yes—
1764C2×C4C22×#4114yes—
1765C2×C4C22×#4112yes—
1766C2×C4C22×#4112yes—
1767C2×C4#58512yes—
1768C2×C4#58512yes—
1769C2×C4#58512yes—
1770C22—24no—
1771C22—22no—
1772C22—22no—
1773C22—24no—
1774C22—24no—
1775C22—24no—
1776C22—24no—
1777C22—22no—
1778C22—24no—
1779C22—42no—
1780C22—42no—
1781C22—41no—
1782C22—42no—
1783C22—41no—
1784C22—42no—
1785C22—42no—
1786C22—41no—
1787C22—42no—
1788C22—41no—
1789C22—42no—
1790C22—42no—
1791C22—42no—
1792C22—44no—
1793C22—42no—
1794C22—44no—
1795C22—44no—
1796C22—42no—
1797C22—42no—
1798C22—44no—
1799C22—42no—
1800C22—44no—
1801C22—42no—
1802C22—44no—
1803C22—42no—
1804C22—44no—
1805C22—1616no—
1806C22C24×D411yescharacteristic
1807C22C23×#4111yescharacteristic
1808C22C2×#58511yescharacteristic
1809C22C2×#58511yescharacteristic
1810C22C2×#58511yescharacteristic
1811C22H(7,𝔽2)11yescharacteristic
1812C222−1+611yescharacteristic
1813C4—22no—
1814C4—24no—
1815C4—22no—
1816C4—24no—
1817C4—22no—
1818C4—22no—
1819C4—22no—
1820C4—22no—
1821C4—24no—
1822C4—24no—
1823C4—42no—
1824C4—42no—
1825C4—42no—
1826C4—42no—
1827C4—44no—
1828C4—44no—
1829C4—41no—
1830C4—42no—
1831C4—42no—
1832C4—41no—
1833C4—41no—
1834C4—42no—
1835C4—41no—
1836C4—42no—
1837C4—42no—
1838C4—44no—
1839C4—41no—
1840C4—41no—
1841C4D4×#4114yes—
1842C4#351014yescomplemented
1843C2—42no—
1844C2—44no—
1845C2—44no—
1846C2—82no—
1847C2—84no—
1848C2C2×D4×#4111yescharacteristic
1849C2C2×#351011yescharacteristic
1850C2#6285711yescharacteristic
1851C2#6293811yescharacteristic
1852C2#6296811yescharacteristic
1853C2#6298811yescharacteristic
1854C2#6300311yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#39342C2
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×#3510C2semidirect
2. #59843C2semidirect
3. #59820C2semidirect
4. #59711C2semidirect
5. #59641C2semidirect
6. #59628C2semidirect
7. #59476C2semidirect
8. #59273C2semidirect
9. #59244C2semidirect
10. #44401C2semidirect
11. #44367C2semidirect
12. #43545C2semidirect
13. #43537C2semidirect
14. #39387C2semidirect
15. #39377C2semidirect
16. #39343C2semidirect
18. #37787C2semidirect
19. #37786C2semidirect
20. #37711C2semidirect
21. #37696C2semidirect
22. #36134C2semidirect
23. #36117C2semidirect
24. #36116C2semidirect
25. D4×#124C2semidirect
26. #35664C2semidirect
27. #35523C2semidirect
28. #35277C2semidirect
29. #35258C2semidirect
30. #34934C2semidirect
31. #34932C2semidirect
32. #34311C2semidirect
33. #34310C2semidirect
34. #34141C2semidirect
35. C4×#542C2semidirect
37. C2×#559C22semidirect
38. C2×#559C22semidirect
39. C2×#556C22semidirect
40. C2×#556C22semidirect
41. C2×#551C22semidirect
42. C2×#551C22semidirect
43. C2×#551C22semidirect
44. C2×#551C22semidirect
49. C2×#542C22semidirect
50. C2×#542C22semidirect
51. C2×#536C22semidirect
53. C2×#533C22semidirect
57. C2×#529C22semidirect
58. C2×#529C22semidirect
60. C2×#519C22semidirect
62. C2×C4×#41C22semidirect
63. #2868C22semidirect
65. #2857C22semidirect
66. #2857C22semidirect
68. #2855C22semidirect
69. #2854C22semidirect
71. #2730C22semidirect
72. #2730C22semidirect
73. #2728C22semidirect
74. #2723C22semidirect
75. #2718C22semidirect
76. #2716C22semidirect
77. #2715C22semidirect
78. #2715C22semidirect
79. #2712C22semidirect
80. #2710C22semidirect
81. #2710C22semidirect
82. #2709C22semidirect
83. #2706C22semidirect
84. #2705C22semidirect
85. #2705C22semidirect
86. #2700C22semidirect
87. #2697C22semidirect
88. #2696C22semidirect
89. #2685C22semidirect
90. #2674C22semidirect
91. #2674C22semidirect
92. #2672C22semidirect
95. #2640C22semidirect
96. #2628C22semidirect
97. #2620C22semidirect
98. #2620C22semidirect
99. #2616C22semidirect
101. #2609C22semidirect
102. #2600C22semidirect
103. #2599C22semidirect
104. #2598C22semidirect
105. #2580C22semidirect
106. #2554C22semidirect
107. #2553C22semidirect
108. #2552C22semidirect
109. #2552C22semidirect
110. #2551C22semidirect
112. #2548C22semidirect
115. #2542C22semidirect
119. #2538C22semidirect
120. #2538C22semidirect
122. #2534C22semidirect
123. #2512C22semidirect
124. #2512C22semidirect
125. #2512C22semidirect
126. #2512C22semidirect
127. #2512C22semidirect
128. #2501C22semidirect
129. #2501C22semidirect
130. #2496C22semidirect
131. #2496C22semidirect
132. #2496C22semidirect
136. #2491C22semidirect
137. #2491C22semidirect
138. #2491C22semidirect
139. #2491C22semidirect
140. #2490C22semidirect
141. #2489C22semidirect
142. #2486C22semidirect
143. #2485C22semidirect
144. #2482C22semidirect
145. #2480C22semidirect
146. #2480C22semidirect
147. #2479C22semidirect
148. #2479C22semidirect
149. #2478C22semidirect
150. #2474C22semidirect
153. #2472C22semidirect
154. #2471C22semidirect
155. #2471C22semidirect
156. #2469C22semidirect
157. #2469C22semidirect
158. #2469C22semidirect
159. #2467C22semidirect
160. #2466C22semidirect
161. #2465C22semidirect
162. #2463C22semidirect
163. #2461C22semidirect
164. #2459C22semidirect
165. #2459C22semidirect
166. #2458C22semidirect
167. #2458C22semidirect
168. #2457C22semidirect
169. #2457C22semidirect
170. #2455C22semidirect
171. #2455C22semidirect
172. #2454C22semidirect
173. #2453C22semidirect
174. #2452C22semidirect
175. #2452C22semidirect
176. #2448C22semidirect
177. #2448C22semidirect
180. #2445C22semidirect
181. #2445C22semidirect
182. #2445C22semidirect
183. #2441C22semidirect
184. #2441C22semidirect
185. #2440C22semidirect
186. #2439C22semidirect
187. #2437C22semidirect
191. #2429C22semidirect
193. #2427C22semidirect
194. #2426C22semidirect
195. #2426C22semidirect
196. #2425C22semidirect
197. #2423C22semidirect
198. #2423C22semidirect
201. #2422C22semidirect
202. #2422C22semidirect
203. #2422C22semidirect
204. #2421C22semidirect
205. #2419C22semidirect
206. #2418C22semidirect
207. #2418C22semidirect
208. #2415C22semidirect
210. #2412C22semidirect
211. #2411C22semidirect
212. #2409C22semidirect
215. #2395C22semidirect
216. #2392C22semidirect
217. #2367C22semidirect
218. #2367C22semidirect
222. #2365C22semidirect
223. #2365C22semidirect
224. #2365C22semidirect
225. #2365C22semidirect
226. #2365C22semidirect
227. #2364C22semidirect
228. #2364C22semidirect
230. #2362C22semidirect
231. #2362C22semidirect
235. #2361C22semidirect
236. #2361C22semidirect
237. #2361C22semidirect
242. #2354C22semidirect
243. Q8×C4⋊C4C22semidirect
244. Q8×C4⋊C4C22semidirect
246. D4×C4⋊C4C22semidirect
247. #2344C22semidirect
248. Q8×C22⋊C4C22semidirect
253. #2337C22semidirect
254. #2335C22semidirect
255. #2334C22semidirect
256. #2332C22semidirect
257. #2331C22semidirect
259. #2326C22semidirect
262. #2323C22semidirect
263. #2323C22semidirect
264. #2323C22semidirect
266. #2320C22semidirect
268. #2314C22semidirect
269. C4×C4⋊Q8C22semidirect
270. C4×C4⋊Q8C22semidirect
271. C4×C4⋊Q8C22semidirect
273. C4×#127C22semidirect
274. C4×#126C22semidirect
276. C4×#124C22semidirect
277. C4×C22⋊Q8C22semidirect
278. C4×C22⋊Q8C22semidirect
279. C4×C22⋊Q8C22semidirect
280. C4×#123C22semidirect
283. C4×#121C22semidirect
284. C4×#121C22semidirect
285. #2297C22semidirect
288. #2293C22semidirect
289. #2293C22semidirect
291. #2290C22semidirect
292. #2290C22semidirect
293. #2285C22semidirect
294. C42×Q8C22semidirect
297. C42×D4C22semidirect
298. C4×#117C22semidirect
299. C2×C4×C4⋊C4C22semidirect
317. #542D4semidirect
898. C4⋊Q8C2×D4semidirect
910. #126C2×D4semidirect
926. #124C2×D4semidirect
938. #123C2×D4semidirect
951. C22⋊Q8C2×D4semidirect
952. C22⋊Q8C2×D4semidirect
982. C4×Q8C2×D4semidirect
1025. #117C2×D4semidirect
1842. C4#3510semidirect

Maximal subgroups

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

subgroupindex
C2×#35102
#598432
#598202
#597112
#596412
#596282
#594762
#592732
#592442
#444012
#443672
#435452
#435372
#393872
#393772
#393432
#393422
#377872
#377862
#377112
#376962
#361342
#361172
#361162
D4×#1242
#356642
#355232
#352772
#352582
#349342
#349322
#343112
#343102
#341412
C4×#5422