Finite Group Databasebeta

← #7689399

Subgroups — #7689399

Order 512.

7164 conjugacy classes of subgroups.

The subgroup lattice has 1915 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3506C211yesmaximal, characteristic, complemented
2C2×#3482C211yesmaximal, characteristic, complemented
3#59418C211yesmaximal, characteristic, complemented
4#59244C212yesmaximal, complemented
5#59175C214yesmaximal, complemented
6#59121C212yesmaximal, complemented
7#59114C212yesmaximal, complemented
8#59067C211yesmaximal, characteristic, complemented
9#59040C211yesmaximal, characteristic, complemented
10#59017C212yesmaximal, complemented
11#45136C212yesmaximal, complemented
12#45093C212yesmaximal, complemented
13#43540C214yesmaximal, complemented
14#43501C214yesmaximal, complemented
15#39961C212yesmaximal, complemented
16#39884C212yesmaximal, complemented
17#39343C211yesmaximal, characteristic, complemented
18#38958C211yesmaximal, characteristic, complemented
19#37813C214yesmaximal, complemented
20#37786C212yesmaximal, complemented
21#36582C212yesmaximal, complemented
22#36433C212yesmaximal, complemented
23#36411C211yesmaximal, characteristic, complemented
24#36411C211yesmaximal, characteristic, complemented
25#36185C211yesmaximal, characteristic, complemented
26#36161C211yesmaximal, characteristic, complemented
27#36151C211yesmaximal, characteristic, complemented
28#36148C212yesmaximal, complemented
29#36015C212yesmaximal, complemented
30#35758C212yesmaximal, complemented
31#34742C212yesmaximal, complemented
32#34715C211yesmaximal, characteristic, complemented
33#34316C211yesmaximal, characteristic, complemented
34#34266C212yesmaximal, complemented
35C4×#546C211yesmaximal, characteristic, complemented
36#3506—216no—
37#3482—216no—
38C2×#559C2214yes—
39C2×#557C2211yescharacteristic, complemented
40C2×#556C2212yes—
41C2×#556C2211yescharacteristic
42C2×#556C2212yescomplemented
43C2×#555C2211yescharacteristic
44C2×#555C2211yescharacteristic
45C2×#553C2212yes—
46C2×#553C2212yes—
47C2×#552C2214yescomplemented
48C2×#552C2212yescomplemented
49C2×#550C2212yes—
50C2×D4×Q8C2211yescharacteristic, complemented
51C2×#548C2212yes—
52C2×#547C2211yescharacteristic
53C2×#547C2211yescharacteristic
54C2×#547C2212yescomplemented
55C2×#546C2211yescharacteristic
56C2×#538C2214yes—
57C2×#536C2212yes—
58C2×#535C2212yes—
59C2×#533C2211yescharacteristic
60C2×#533C2212yescomplemented
61C2×#533C2211yescharacteristic, complemented
62C2×#532C2211yescharacteristic
63C2×#529C2212yes—
64C2×#529C2214yescomplemented
65C2×#525C2212yes—
66C2×#525C2212yes—
67C2×#520C2212yes—
68C2×C4×#41C2211yescharacteristic
69C2×C4×#41C2211yescharacteristic, complemented
70C2×C4×#41C2212yescomplemented
71C22×C4×Q8C2212yescomplemented
72C22×C4×D4C2211yescharacteristic
73#2862C2211yescharacteristic, complemented
74#2857C2211yescharacteristic
75#2857C2211yescharacteristic, complemented
76#2854C2212yes—
77#2854C2212yescomplemented
78#2854C2214yescomplemented
79#2850C2212yescomplemented
80#2848C2212yes—
81#2724C2214yescomplemented
82#2720C2214yes—
83#2715C2214yes—
84#2715C2214yescomplemented
85#2709C2214yes—
86#2708C2214yescomplemented
87#2707C2214yescomplemented
88#2701C2214yescomplemented
89#2700C2214yescomplemented
90#2700C2214yescomplemented
91#2698C2214yescomplemented
92#2697C2214yes—
93#2694C2214yescomplemented
94#2688C2214yescomplemented
95#2685C2214yes—
96#2678C2214yes—
97#2674C2214yes—
98#2674C2214yescomplemented
99#2673C2214yes—
100#2672C2214yes—
101#2670C2214yes—
102#2661C2214yescomplemented
103#2630C2214yes—
104#2620C2212yes—
105#2616C2212yes—
106#2602C2214yescomplemented
107#2602C2214yescomplemented
108#2591C2214yescomplemented
109#2579C2214yescomplemented
110#2567C2211yescharacteristic, complemented
111#2567C2211yescharacteristic, complemented
112#2558C2214yescomplemented
113#2558C2214yescomplemented
114#2554C2214yescomplemented
115#2552C2212yescomplemented
116#2551C2212yescomplemented
117#2547C2211yescharacteristic
118#2542C2211yescharacteristic, complemented
119#2540C2212yes—
120#2538C2211yescharacteristic
121#2538C2211yescharacteristic, complemented
122#2538C2212yescomplemented
123#2536C2212yes—
124#2521C2214yescomplemented
125#2521C2214yescomplemented
126#2519C2214yescomplemented
127#2512C2214yescomplemented
128#2500C2212yescomplemented
129#2500C2214yescomplemented
130#2499C2212yescomplemented
131#2499C2212yescomplemented
132#2496C2214yescomplemented
133#2491C2214yes—
134#2491C2212yes—
135#2490C2212yes—
136#2489C2212yes—
137#2489C2212yescomplemented
138#2485C2212yes—
139#2485C2214yescomplemented
140#2485C2212yescomplemented
141#2485C2212yescomplemented
142#2480C2214yes—
143#2478C2214yescomplemented
144#2476C2212yes—
145#2474C2214yes—
146#2474C2212yescomplemented
147#2474C2214yescomplemented
148#2474C2214yescomplemented
149#2472C2214yes—
150#2471C2214yescomplemented
151#2469C2214yescomplemented
152#2469C2214yescomplemented
153#2469C2214yescomplemented
154#2468C2214yescomplemented
155#2467C2214yes—
156#2466C2214yes—
157#2462C2214yescomplemented
158#2462C2214yescomplemented
159#2461C2214yescomplemented
160#2461C2214yescomplemented
161#2460C2214yes—
162#2459C2212yescomplemented
163#2459C2214yescomplemented
164#2458C2214yescomplemented
165#2458C2214yescomplemented
166#2456C2212yes—
167#2453C2212yescomplemented
168#2453C2212yescomplemented
169#2453C2212yescomplemented
170#2451C2211yescharacteristic, complemented
171#2450C2214yescomplemented
172#2447C2212yes—
173#2446C2212yescomplemented
174#2445C2214yes—
175#2445C2214yes—
176#2445C2212yescomplemented
177#2445C2211yescharacteristic, complemented
178#2442C2212yescomplemented
179#2441C2212yes—
180#2439C2212yescomplemented
181#2439C2212yescomplemented
182#2439C2211yescharacteristic, complemented
183#2436C2212yes—
184#2435C2212yes—
185#2432C2212yescomplemented
186#2431C2211yescharacteristic, complemented
187#2429C2212yes—
188#2429C2212yescomplemented
189#2427C2212yes—
190#2427C2212yes—
191#2426C2212yes—
192#2426C2211yescharacteristic
193#2426C2212yes—
194#2423C2212yes—
195#2423C2212yescomplemented
196#2422C2212yes—
197#2422C2212yes—
198#2422C2212yescomplemented
199#2422C2214yescomplemented
200#2421C2212yes—
201#2421C2212yescomplemented
202#2421C2212yescomplemented
203#2420C2211yescharacteristic
204#2420C2212yescomplemented
205#2420C2212yescomplemented
206#2420C2214yescomplemented
207#2419C2214yescomplemented
208#2419C2214yescomplemented
209#2418C2214yes—
210#2418C2214yes—
211#2417C2212yescomplemented
212#2415C2212yes—
213#2415C2212yes—
214#2415C2212yes—
215#2415C2212yescomplemented
216#2414C2212yes—
217#2414C2211yescharacteristic
218#2414C2212yescomplemented
219#2411C2214yes—
220#2409C2212yescomplemented
221#2407C2212yes—
222#2407C2211yescharacteristic
223#2407C2212yescomplemented
224#2407C2212yescomplemented
225#2395C2214yes—
226#2395C2214yescomplemented
227#2392C2212yescomplemented
228#2388C2212yes—
229#2374C2214yescomplemented
230#2367C2214yes—
231#2367C2212yes—
232#2367C2211yescharacteristic
233#2367C2214yes—
234#2365C2211yescharacteristic, complemented
235#2365C2214yescomplemented
236#2365C2214yescomplemented
237#2364C2212yes—
238#2363C2212yes—
239#2363C2211yescharacteristic
240#2362C2212yes—
241#2362C2212yes—
242#2362C2212yescomplemented
243#2362C2212yescomplemented
244#2362C2212yescomplemented
245#2362C2212yescomplemented
246#2362C2212yescomplemented
247#2362C2212yescomplemented
248#2360C2212yes—
249#2360C2211yescharacteristic
250#2360C2212yescomplemented
251#2360C2212yescomplemented
252#2359C2212yes—
253#2359C2214yescomplemented
254#2358C2212yes—
255#2354C2211yescharacteristic
256#2354C2211yescharacteristic, complemented
257#2354C2212yescomplemented
258#2354C2212yescomplemented
259#2352C2211yescharacteristic
260#2351C2212yescomplemented
261Q8×C4⋊C4C2212yescomplemented
262#2349C2211yescharacteristic
263#2345C2212yescomplemented
264#2342C2212yes—
265#2341C2212yescomplemented
266#2341C2212yescomplemented
267#2341C2212yescomplemented
268#2339C2211yescharacteristic
269D4×C22⋊C4C2211yescharacteristic
270#2335C2214yescomplemented
271#2324C2212yes—
272#2322C2214yes—
273#2322C2214yescomplemented
274#2310C2212yescomplemented
275C4×C4⋊Q8C2211yescharacteristic, complemented
276C4×#124C2211yescharacteristic
277C4×#124C2211yescharacteristic, complemented
278C4×C22⋊Q8C2211yescharacteristic
279C4×C22⋊Q8C2211yescharacteristic
280C4×C22⋊Q8C2212yescomplemented
281C4×#123C2212yes—
282C4×#123C2214yes—
283C4×#123C2214yescomplemented
284C4×#123C2214yescomplemented
285C4×#123C2212yescomplemented
286C4×#121C2212yes—
287C4×#121C2211yescharacteristic
288C4×#121C2211yescharacteristic, complemented
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×#41C2312yes—
304C22×#41C2311yescharacteristic
305C22×#41C2312yes—
306C23×Q8C2312yes—
307C23×D4C2311yescharacteristic
308C24×C4C2312yes—
309#559—232no—
310#557—28no—
311#556—216no—
312#556—216no—
313#556—28no—
314#555—28no—
315#555—28no—
316#553—216no—
317#553—216no—
318#552—232no—
319#552—216no—
320#550—216no—
321D4×Q8—28no—
322#548—216no—
323#547—216no—
324#547—28no—
325#547D4116yescomplemented
326#546—28no—
327#538—232no—
328#536—216no—
329#535—216no—
330#533—28no—
331#533—28no—
332#533—216no—
333#532—28no—
334C2×C4⋊Q8C2311yescharacteristic
335C2×C4⋊Q8C2311yescharacteristic
336C2×C4⋊Q8C2314yes—
337C2×C4⋊Q8C2311yescharacteristic
338C2×C4⋊Q8C2312yes—
339C2×C4⋊Q8C2312yes—
340C2×C4⋊Q8C2311yescharacteristic
341C2×#127C2314yes—
342C2×#127C2311yescharacteristic
343#529—232no—
344#529—216no—
345C2×#126C2314yes—
346C2×#126C2314yes—
347C2×#126C2314yes—
348C2×#126C2314yes—
349C2×#126C2314yes—
350C2×#125C2312yes—
351C2×#125C2314yes—
352C2×#125C2312yes—
353C2×#125C2312yes—
354C2×#125C2314yes—
355C2×#124C2314yes—
356C2×#124C2311yescharacteristic
357C2×#124C2314yes—
358C2×#124C2312yes—
359C2×#124C2314yes—
360C2×#124C2312yes—
361C2×#124C2314yes—
362C2×#124C2314yes—
363C2×#124C2311yescharacteristic
364C2×#124C2312yes—
365#525—216no—
366#525—216no—
367C2×#123C2314yes—
368C2×#123C2314yes—
369C2×#123C2314yes—
370C2×#123C2312yes—
371C2×#123C2314yes—
372C2×#123C2314yes—
373C2×#123C2314yes—
374C2×#123C2314yes—
375C2×#123C2314yes—
376C2×#123C2312yes—
377C2×#123C2314yes—
378C2×#123C2314yes—
379C2×C22⋊Q8C2312yes—
380C2×C22⋊Q8C2312yes—
381C2×C22⋊Q8C2312yes—
382C2×C22⋊Q8C2312yes—
383C2×C22⋊Q8C2312yes—
384C2×C22⋊Q8C2312yes—
385C2×C22⋊Q8C2312yes—
386C2×C22⋊Q8C2312yes—
387C2×C22⋊Q8C2312yes—
388C2×C22⋊Q8C2312yes—
389C2×C22⋊Q8C2314yes—
390C2×C22⋊Q8C2314yes—
391C2×C22⋊Q8C2311yescharacteristic
392C2×C22⋊Q8C2312yes—
393C2×C22⋊Q8C2312yes—
394C2×C22⋊Q8C2312yes—
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2311yescharacteristic
397C2×#121C2314yes—
398C2×#121C2312yes—
399C2×#121C2312yes—
400C2×#121C2311yescharacteristic
401C2×#121C2312yes—
402C2×#121C2311yescharacteristic
403C2×#121C2312yes—
404C2×#121C2312yes—
405C2×#121C2311yescharacteristic
406C2×#121C2314yes—
407C2×#121C2312yes—
408C2×#121C2314yes—
409C2×#121C2312yes—
410C2×#121C2311yescharacteristic
411C2×#121C2312yes—
412C2×#120C2312yes—
413C2×#120C2314yes—
414C2×#120C2314yes—
415#520—216no—
416C4×#41—216no—
417C4×#41—28no—
418C4×#41—28no—
419C2×C4×Q8—216no—
420C2×C4×Q8C2311yescharacteristic
421C2×C4×Q8C2311yescharacteristic
422C2×C4×Q8C2312yes—
423C2×C4×Q8C2312yes—
424C2×C4×Q8C2312yes—
425C2×C4×Q8C2311yescharacteristic
426C2×C4×Q8C2312yes—
427C2×C4×Q8C2312yes—
428C2×C4×Q8C2312yes—
429C2×C4×Q8C2311yescharacteristic
430C2×C4×Q8C2312yes—
431C2×C4×Q8C2314yes—
432C2×C4×Q8C2314yes—
433C2×C4×Q8C2314yes—
434C2×C4×Q8C2312yes—
435C2×C4×Q8C2312yes—
436C2×C4×D4—28no—
437C2×C4×D4C2314yes—
438C2×C4×D4C2314yes—
439C2×C4×D4C2314yes—
440C2×C4×D4C2311yescharacteristic
441C2×C4×D4C2311yescharacteristic
442C2×C4×D4C2311yescharacteristic
443C2×C4×D4C2311yescharacteristic
444C2×C4×D4C2312yes—
445C2×C4×D4C2312yes—
446C2×C4×D4C2314yes—
447C2×C4×D4C2311yescharacteristic
448C2×C4×D4C2314yes—
449C2×C4×D4C2312yes—
450C2×C4×D4C2312yes—
451C2×C4×D4C2312yes—
452C2×C4×D4C2311yescharacteristic
453C2×C4×D4C2312yes—
454C2×C4×D4C2311yescharacteristic
455C2×C4×D4C2314yes—
456C2×C4×D4C2312yes—
457C2×C4×D4C2314yes—
458C2×C4×D4C2312yes—
459C2×C4×D4C2311yescharacteristic
460C2×C4×D4C2311yescharacteristic
461C2×C4×D4C2312yes—
462C2×C4×D4C2312yes—
463C2×C4×D4C2311yescharacteristic
464C2×C4×D4C2311yescharacteristic
465C2×C4×D4C2311yescharacteristic
466C2×C4×D4C2311yescharacteristic
467C2×#117C2312yes—
468C2×#117C2312yes—
469C2×#117C2311yescharacteristic
470C2×#117C2311yescharacteristic
471C2×#117C2312yes—
472C2×#117C2312yes—
473C2×#117C2312yes—
474C2×#117C2314yes—
475C2×#117C2312yes—
476C2×#117C2312yes—
477C2×#117C2314yes—
478C2×#117C2312yes—
479C2×#117C2312yes—
480C2×#117C2312yes—
481C2×#117C2312yes—
482C2×#117C2312yes—
483C22×C4⋊C4C2314yes—
484C22×C4⋊C4C2311yescharacteristic
485C22×C4⋊C4C2312yes—
486C22×C4⋊C4C2312yes—
487C22×C22⋊C4C2312yes—
488C22×C22⋊C4C2312yes—
489C22×C22⋊C4C2312yes—
490C22×C42C2312yes—
491C22×C42C2314yes—
492C22×C42C2312yes—
493C22×C42C2311yescharacteristic
494C22×C42C2311yescharacteristic
495C22×C42C2312yes—
496#400C2314yes—
497#400C2314yes—
498#400C2314yes—
499#400C2314yes—
500#399C2314yes—
501#399C2314yes—
502#399C2314yes—
503#398C2314yes—
504#398C2314yes—
505#398C2314yes—
506#398C2312yes—
507#398C2314yes—
508#398C2314yes—
509#398C2314yes—
510#397C2314yes—
511#397C2314yes—
512#397C2314yes—
513#397C2312yes—
514#397C2314yes—
515#397C2314yes—
516#397C2314yes—
517#397C2314yes—
518#397C2314yes—
519#397C2314yes—
520#397C2314yes—
521#397C2314yes—
522#397C2314yes—
523#397C2314yes—
524#396C2314yes—
525#396C2314yes—
526#396C2314yes—
527#396C2314yes—
528#396C2314yes—
529#396C2314yes—
530#396C2312yes—
531#396C2312yes—
532#396C2314yes—
533#396C2314yes—
534#395C2314yes—
535#395C2314yes—
536#395C2314yes—
537#395C2312yes—
538#395C2314yes—
539#394C2314yes—
540#394C2314yes—
541#394C2312yes—
542#394C2314yes—
543#394C2314yes—
544#394C2314yes—
545#394C2314yes—
546#394C2314yes—
547#394C2314yes—
548#394C2314yes—
549#394C2312yes—
550#394C2312yes—
551#394C2312yes—
552#394C2312yes—
553#394C2312yes—
554#394C2314yes—
555#394C2314yes—
556#394C2314yes—
557#394C2314yes—
558#394C2314yes—
559#394C2314yes—
560#394C2314yes—
561#394C2314yes—
562#394C2314yes—
563#393C2312yes—
564#393C2314yes—
565#393C2314yes—
566#393C2314yes—
567#392C2312yes—
568#392C2314yes—
569#392C2312yes—
570#392C2312yes—
571#392C2312yes—
572#392C2314yes—
573#392C2314yes—
574#391C2312yes—
575#391C2311yescharacteristic
576#391C2312yes—
577#391C2312yes—
578#391C2312yes—
579#391C2314yes—
580#391C2314yes—
581#391C2312yes—
582#391C2311yescharacteristic
583#391C2312yes—
584#391C2312yes—
585#391C2312yes—
586#391C2312yes—
587#391C2312yes—
588#391C2312yes—
589#391C2312yes—
590#391C2312yes—
591#391C2311yescharacteristic
592#391C2311yescharacteristic
593#390C2314yes—
594#390C2312yes—
595#390C2314yes—
596#390C2311yescharacteristic
597#390C2311yescharacteristic
598#390C2312yes—
599#390C2311yescharacteristic
600#390C2311yescharacteristic
601#390C2311yescharacteristic
602#390C2314yes—
603#390C2312yes—
604#390C2314yes—
605#390C2312yes—
606#390C2314yes—
607#390C2314yes—
608#390C2312yes—
609#390C2314yes—
610#390C2314yes—
611#390C2314yes—
612#390C2312yes—
613#390C2312yes—
614#390C2312yes—
615#390C2311yescharacteristic
616#389C2312yes—
617#389C2312yes—
618#389C2312yes—
619#389C2312yes—
620#389C2312yes—
621#389C2312yes—
622#389C2314yes—
623#389C2314yes—
624#389C2312yes—
625#389C2314yes—
626#389C2312yes—
627#389C2312yes—
628#389C2312yes—
629#389C2314yes—
630#389C2314yes—
631#389C2312yes—
632#389C2312yes—
633#389C2314yes—
634#389C2311yescharacteristic
635#389C2311yescharacteristic
636#389C2311yescharacteristic
637#389C2314yes—
638#389C2314yes—
639#389C2312yes—
640#389C2311yescharacteristic
641#389C2314yes—
642#389C2311yescharacteristic
643#389C2312yes—
644#389C2311yescharacteristic
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2312yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2312yes—
655#388C2314yes—
656#388C2314yes—
657#388C2312yes—
658#388C2312yes—
659#388C2312yes—
660#388C2314yes—
661#388C2314yes—
662#388C2312yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2312yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2312yes—
674#388C2312yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2312yes—
681#388C2312yes—
682#388C2314yes—
683#388C2314yes—
684#388C2312yes—
685#388C2312yes—
686#388C2312yes—
687#387C2314yes—
688#387C2314yes—
689#387C2314yes—
690#387C2314yes—
691#387C2314yes—
692#387C2314yes—
693#387C2314yes—
694#387C2314yes—
695#387C2314yes—
696#387C2312yes—
697#387C2312yes—
698#387C2314yes—
699#387C2314yes—
700#387C2312yes—
701#387C2314yes—
702#387C2314yes—
703#387C2314yes—
704#387C2314yes—
705#387C2314yes—
706#387C2314yes—
707#387C2312yes—
708#387C2312yes—
709#387C2312yes—
710#386C2312yes—
711#386C2312yes—
712#386C2314yes—
713#386C2314yes—
714#386C2314yes—
715#386C2312yes—
716#386C2314yes—
717#386C2314yes—
718#386C2312yes—
719#386C2312yes—
720#386C2314yes—
721#386C2314yes—
722#386C2312yes—
723#386C2312yes—
724#386C2314yes—
725#386C2312yes—
726#386C2314yes—
727#386C2312yes—
728#386C2312yes—
729#386C2314yes—
730#386C2312yes—
731#386C2312yes—
732#386C2312yes—
733#385C2312yes—
734#385C2314yes—
735#385C2314yes—
736#385C2314yes—
737#385C2314yes—
738#385C2312yes—
739#385C2312yes—
740#385C2314yes—
741#385C2314yes—
742#385C2314yes—
743#385C2314yes—
744#385C2312yes—
745#385C2314yes—
746#385C2312yes—
747#385C2312yes—
748#385C2314yes—
749#385C2314yes—
750#385C2314yes—
751#385C2312yes—
752#384C2311yescharacteristic
753#384C2312yes—
754#384C2312yes—
755#384C2314yes—
756#384C2312yes—
757#382C2312yes—
758#382C2311yescharacteristic
759#382C2312yes—
760#382C2314yes—
761#382C2311yescharacteristic
762#381C2314yes—
763#381C2314yes—
764#381C2312yes—
765#381C2312yes—
766#381C2314yes—
767#380C2314yes—
768#380C2312yes—
769#380C2312yes—
770#380C2312yes—
771#380C2312yes—
772#380C2311yescharacteristic
773#380C2311yescharacteristic
774#380C2312yes—
775#380C2314yes—
776#380C2314yes—
777#380C2312yes—
778#380C2312yes—
779#380C2312yes—
780#380C2312yes—
781#380C2312yes—
782#380C2311yescharacteristic
783#380C2312yes—
784#380C2311yescharacteristic
785#380C2314yes—
786#380C2314yes—
787#379C2314yes—
788#379C2312yes—
789#379C2314yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2314yes—
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2314yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2311yescharacteristic
801C4×C4⋊C4C2314yes—
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2314yes—
804C4×C4⋊C4C2314yes—
805C4×C4⋊C4C2311yescharacteristic
806C4×C4⋊C4C2314yes—
807C4×C4⋊C4C2311yescharacteristic
808C4×C4⋊C4C2312yes—
809C4×C4⋊C4C2314yes—
810C4×C4⋊C4C2314yes—
811C4×C4⋊C4C2314yes—
812C4×C4⋊C4C2314yes—
813C4×C4⋊C4C2312yes—
814C4×C22⋊C4C2314yes—
815C4×C22⋊C4C2314yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2314yes—
818C4×C22⋊C4C2311yescharacteristic
819C4×C22⋊C4C2311yescharacteristic
820C4×C22⋊C4C2314yes—
821C4×C22⋊C4C2314yes—
822C4×C22⋊C4C2312yes—
823C4×C22⋊C4C2312yes—
824C4×C22⋊C4C2312yes—
825C4×C22⋊C4C2311yescharacteristic
826C4×C22⋊C4C2312yes—
827C4×C22⋊C4C2312yes—
828C4×C22⋊C4C2312yes—
829C4×C22⋊C4C2312yes—
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2314yes—
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2314yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2311yescharacteristic
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2314yes—
840C4×C22⋊C4C2311yescharacteristic
841C4×C22⋊C4C2312yes—
842C4×C22⋊C4C2311yescharacteristic
843C4×C22⋊C4C2312yes—
844C2×#95C2312yes—
845C2×#95C2312yes—
846C43C2311yescharacteristic
847C25C2412yes—
848C2×#41—28no—
849C2×#41—24no—
850C2×#41—24no—
851C2×#41—24no—
852C2×#41—28no—
853C2×#41—28no—
854C2×#41—44no—
855C2×#41—44no—
856C2×#41—44no—
857C2×#41—42no—
858C2×#41—42no—
859C2×#41—42no—
860C2×#41—44no—
861C2×#41—44no—
862C2×#41C2×D4116yes—
863C22×Q8—28no—
864C22×Q8—28no—
865C22×Q8—44no—
866C22×Q8C2412yes—
867C22×Q8C2411yescharacteristic
868C22×Q8C2414yes—
869C22×Q8C2412yes—
870C22×Q8C2412yes—
871C22×Q8C2411yescharacteristic
872C22×Q8C2412yes—
873C22×D4—24no—
874C22×D4—24no—
875C22×D4—42no—
876C22×D4C2411yescharacteristic
877C22×D4C2411yescharacteristic
878C22×D4C2412yes—
879C22×D4C2412yes—
880C22×D4C2412yes—
881C22×D4C2412yes—
882C22×D4C2412yes—
883C22×D4C2411yescharacteristic
884C22×D4C2411yescharacteristic
885C22×D4C2411yescharacteristic
886C22×D4C2412yes—
887C22×D4C2414yes—
888C22×D4C2414yes—
889C22×D4C2412yes—
890C22×D4C2412yes—
891C22×D4C2414yes—
892C22×D4C2412yes—
893C22×D4C2414yes—
894C23×C4—28no—
895C23×C4—44no—
896C23×C4—44no—
897C23×C4C2412yes—
898C23×C4C2411yescharacteristic
899C23×C4C2411yescharacteristic
900C23×C4C2412yes—
901C23×C4C2411yescharacteristic
902C23×C4C2412yes—
903C23×C4C2412yes—
904C23×C4C2414yes—
905C23×C4C2411yescharacteristic
906C23×C4C2412yes—
907C23×C4C2412yes—
908C23×C4C2412yes—
909C23×C4C2411yescharacteristic
910C23×C4C2411yescharacteristic
911C23×C4C2412yes—
912C23×C4C2412yes—
913C23×C4C2412yes—
914C23×C4C2414yes—
915C23×C4C2412yes—
916C23×C4C2412yes—
917C23×C4C2412yes—
918C23×C4C2414yes—
919C4⋊Q8—28no—
920C4⋊Q8—24no—
921C4⋊Q8—28no—
922C4⋊Q8—216no—
923C4⋊Q8—24no—
924C4⋊Q8—24no—
925C4⋊Q8C2×D418yes—
926#127—24no—
927#127—216no—
928#126—216no—
929#126—216no—
930#126—216no—
931#126—216no—
932#126—216no—
933#125—216no—
934#125—28no—
935#125—28no—
936#125—216no—
937#125—28no—
938#124—24no—
939#124—28no—
940#124—216no—
941#124—28no—
942#124—216no—
943#124—216no—
944#124—216no—
945#124—216no—
946#124—42no—
947#124—44no—
948#123—216no—
949#123—216no—
950#123—216no—
951#123—216no—
952#123—216no—
953#123—216no—
954#123—28no—
955#123—216no—
956#123—48no—
957#123—44no—
958#123—48no—
959#123C2×D4132yes—
960C22⋊Q8—28no—
961C22⋊Q8—28no—
962C22⋊Q8—28no—
963C22⋊Q8—28no—
964C22⋊Q8—28no—
965C22⋊Q8—28no—
966C22⋊Q8—28no—
967C22⋊Q8—28no—
968C22⋊Q8—28no—
969C22⋊Q8—28no—
970C22⋊Q8—216no—
971C22⋊Q8—216no—
972C22⋊Q8—44no—
973C22⋊Q8—44no—
974C22⋊Q8—44no—
975C22⋊Q8—42no—
976C22⋊Q8C2×D4116yes—
977C22⋊Q8#4118yescomplemented
978#121—24no—
979#121—28no—
980#121—216no—
981#121—28no—
982#121—216no—
983#121—28no—
984#121—28no—
985#121—216no—
986#121—24no—
987#121—28no—
988#121—24no—
989#121—28no—
990#121—28no—
991#121—42no—
992#121C2×D4116yes—
993#120—216no—
994#120—216no—
995#120—28no—
996C4×Q8—28no—
997C4×Q8—28no—
998C4×Q8—28no—
999C4×Q8—24no—
1000C4×Q8—216no—
1001C4×Q8—28no—
1002C4×Q8—28no—
1003C4×Q8—216no—
1004C4×Q8—28no—
1005C4×Q8—24no—
1006C4×Q8—216no—
1007C4×Q8—28no—
1008C4×Q8—24no—
1009C4×Q8—24no—
1010C4×Q8—44no—
1011C4×Q8—44no—
1012C4×D4—24no—
1013C4×D4—24no—
1014C4×D4—24no—
1015C4×D4—216no—
1016C4×D4—28no—
1017C4×D4—216no—
1018C4×D4—28no—
1019C4×D4—28no—
1020C4×D4—28no—
1021C4×D4—216no—
1022C4×D4—216no—
1023C4×D4—216no—
1024C4×D4—28no—
1025C4×D4—24no—
1026C4×D4—24no—
1027C4×D4—216no—
1028C4×D4—24no—
1029C4×D4—28no—
1030C4×D4—28no—
1031C4×D4—28no—
1032C4×D4—216no—
1033C4×D4—24no—
1034C4×D4—24no—
1035C4×D4—42no—
1036C4×D4—44no—
1037C4×D4—44no—
1038C4×D4—42no—
1039C4×D4—42no—
1040C4×D4C2×D418yes—
1041C4×D4C2×D418yes—
1042#117—216no—
1043#117—28no—
1044#117—28no—
1045#117—28no—
1046#117—24no—
1047#117—24no—
1048#117—28no—
1049#117—28no—
1050#117—28no—
1051#117—28no—
1052#117—28no—
1053#117—28no—
1054#117—28no—
1055#117—216no—
1056#117—44no—
1057#117—44no—
1058C2×C4⋊C4—216no—
1059C2×C4⋊C4—24no—
1060C2×C4⋊C4—28no—
1061C2×C4⋊C4C2×D4116yes—
1062C2×C4⋊C4C2411yescharacteristic
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2414yes—
1066C2×C4⋊C4C2414yes—
1067C2×C4⋊C4C2414yes—
1068C2×C4⋊C4C2414yes—
1069C2×C4⋊C4C2411yescharacteristic
1070C2×C4⋊C4C2412yes—
1071C2×C4⋊C4C2411yescharacteristic
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2411yescharacteristic
1074C2×C4⋊C4C2411yescharacteristic
1075C2×C4⋊C4C2414yes—
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2414yes—
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2414yes—
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2414yes—
1086C2×C4⋊C4C2414yes—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2411yescharacteristic
1089C2×C4⋊C4C2411yescharacteristic
1090C2×C4⋊C4C2411yescharacteristic
1091C2×C4⋊C4C2411yescharacteristic
1092C2×C4⋊C4C2414yes—
1093C2×C4⋊C4C2414yes—
1094C2×C4⋊C4C2414yes—
1095C2×C4⋊C4C2414yes—
1096C2×C4⋊C4C2414yes—
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2411yescharacteristic
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2414yes—
1103C2×C4⋊C4C2414yes—
1104C2×C4⋊C4C2414yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2414yes—
1108C2×C4⋊C4C2414yes—
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2414yes—
1111C2×C4⋊C4C2414yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2414yes—
1114C2×C4⋊C4C2411yescharacteristic
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2414yes—
1117C2×C4⋊C4C2411yescharacteristic
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2411yescharacteristic
1120C2×C4⋊C4C2412yes—
1121C2×C22⋊C4—28no—
1122C2×C22⋊C4—28no—
1123C2×C22⋊C4—44no—
1124C2×C22⋊C4C2411yescharacteristic
1125C2×C22⋊C4C2411yescharacteristic
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2411yescharacteristic
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2411yescharacteristic
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2411yescharacteristic
1165C2×C22⋊C4C2411yescharacteristic
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2414yes—
1175C2×C22⋊C4C2414yes—
1176C2×C22⋊C4C2414yes—
1177C2×C22⋊C4C2414yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2414yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2414yes—
1192C2×C22⋊C4C2412yes—
1193C2×C42—28no—
1194C2×C42—216no—
1195C2×C42—28no—
1196C2×C42—24no—
1197C2×C42—24no—
1198C2×C42—44no—
1199C2×C42C2412yes—
1200C2×C42C2411yescharacteristic
1201C2×C42C2414yes—
1202C2×C42C2414yes—
1203C2×C42C2414yes—
1204C2×C42C2412yes—
1205C2×C42C2411yescharacteristic
1206C2×C42C2414yes—
1207C2×C42C2412yes—
1208C2×C42C2414yes—
1209C2×C42C2412yes—
1210C2×C42C2414yes—
1211C2×C42C2411yescharacteristic
1212C2×C42C2411yescharacteristic
1213C2×C42C2411yescharacteristic
1214C2×C42C2412yes—
1215C2×C42C2411yescharacteristic
1216C2×C42C2412yes—
1217C2×C42C2414yes—
1218C2×C42C2411yescharacteristic
1219C2×C42C2411yescharacteristic
1220C2×C42C2412yes—
1221C2×C42C2411yescharacteristic
1222C2×C42C2412yes—
1223C2×C42C2411yescharacteristic
1224C2×C42C2414yes—
1225C2×C42C2411yescharacteristic
1226C2×C42C2414yes—
1227C2×C42C2414yes—
1228C2×C42C2411yescharacteristic
1229C2×C42C2412yes—
1230C2×C42C2412yes—
1231C2×C42C2411yescharacteristic
1232#95C2411yescharacteristic
1233#95C2411yescharacteristic
1234#95C2412yes—
1235#95C2412yes—
1236#95C2412yes—
1237#95C2412yes—
1238#95C2412yes—
1239#95C2412yes—
1240#95C2412yes—
1241#95C2412yes—
1242#95C2412yes—
1243#95C2411yescharacteristic
1244#95C2414yes—
1245#95C2412yes—
1246#95C2411yescharacteristic
1247#95C2412yes—
1248#95C2411yescharacteristic
1249#95C2412yes—
1250#95C2414yes—
1251#95C2411yescharacteristic
1252#95C2412yes—
1253#95C2412yes—
1254#95C2414yes—
1255#95C2412yes—
1256#95C2414yes—
1257#95C2414yes—
1258#95C2412yes—
1259#95C2414yes—
1260#95C2412yes—
1261#95C2414yes—
1262#95C2414yes—
1263#95C2412yes—
1264#95C2412yes—
1265#95C2414yes—
1266#95C2412yes—
1267#95C2412yes—
1268#95C2412yes—
1269#95C2414yes—
1270#95C2414yes—
1271#95C2414yes—
1272#95C2414yes—
1273#95C2414yes—
1274#95C2414yes—
1275#95C2412yes—
1276#95C2414yes—
1277#95C2412yes—
1278#95C2414yes—
1279#95C2414yes—
1280#95C2412yes—
1281#95C2414yes—
1282#95C2412yes—
1283#95C2414yes—
1284#95C2414yes—
1285#95C2414yes—
1286C24—24no—
1287C24—24no—
1288C24—42no—
1289C24—42no—
1290C24—42no—
1291C24—42no—
1292C24—42no—
1293C24C2512yes—
1294C24C2511yescharacteristic
1295C24C2512yes—
1296C24C2512yes—
1297C24C2512yes—
1298C24C2511yescharacteristic
1299#41—432no—
1300#41—432no—
1301#41—416no—
1302#41—416no—
1303#41—816no—
1304C2×Q8—22no—
1305C2×Q8—28no—
1306C2×Q8—24no—
1307C2×Q8—22no—
1308C2×Q8—24no—
1309C2×Q8—24no—
1310C2×Q8—24no—
1311C2×Q8—28no—
1312C2×Q8—24no—
1313C2×Q8—24no—
1314C2×Q8—24no—
1315C2×Q8—22no—
1316C2×Q8—22no—
1317C2×Q8—24no—
1318C2×Q8—22no—
1319C2×Q8—44no—
1320C2×Q8—42no—
1321C2×Q8—42no—
1322C2×Q8—42no—
1323C2×Q8—432no—
1324C2×Q8C22×D418yes—
1325C2×Q8C2×#4114yes—
1326C2×D4—24no—
1327C2×D4—24no—
1328C2×D4—24no—
1329C2×D4—24no—
1330C2×D4—24no—
1331C2×D4—22no—
1332C2×D4—24no—
1333C2×D4—24no—
1334C2×D4—28no—
1335C2×D4—28no—
1336C2×D4—24no—
1337C2×D4—24no—
1338C2×D4—22no—
1339C2×D4—22no—
1340C2×D4—28no—
1341C2×D4—22no—
1342C2×D4—24no—
1343C2×D4—24no—
1344C2×D4—22no—
1345C2×D4—24no—
1346C2×D4—24no—
1347C2×D4—22no—
1348C2×D4—22no—
1349C2×D4—22no—
1350C2×D4—22no—
1351C2×D4—22no—
1352C2×D4—22no—
1353C2×D4—416no—
1354C2×D4—41no—
1355C2×D4—41no—
1356C2×D4—42no—
1357C2×D4—44no—
1358C2×D4—44no—
1359C2×D4—42no—
1360C2×D4—42no—
1361C2×D4—42no—
1362C2×D4—42no—
1363C2×D4—42no—
1364C2×D4—42no—
1365C2×D4—42no—
1366C2×D4—42no—
1367C2×D4—42no—
1368C2×D4—42no—
1369C2×D4—44no—
1370C2×D4—44no—
1371C2×D4—42no—
1372C2×D4—42no—
1373C2×D4—42no—
1374C2×D4—44no—
1375C2×D4—44no—
1376C2×D4—44no—
1377C2×D4—44no—
1378C2×D4C22×D414yes—
1379C2×D4C22×D414yes—
1380C2×D4C22×D4116yes—
1381C22×C4—22no—
1382C22×C4—24no—
1383C22×C4—24no—
1384C22×C4—24no—
1385C22×C4—24no—
1386C22×C4—22no—
1387C22×C4—24no—
1388C22×C4—24no—
1389C22×C4—28no—
1390C22×C4—24no—
1391C22×C4—24no—
1392C22×C4—24no—
1393C22×C4—22no—
1394C22×C4—22no—
1395C22×C4—22no—
1396C22×C4—22no—
1397C22×C4—24no—
1398C22×C4—24no—
1399C22×C4—24no—
1400C22×C4—22no—
1401C22×C4—24no—
1402C22×C4—28no—
1403C22×C4—24no—
1404C22×C4—22no—
1405C22×C4—22no—
1406C22×C4—22no—
1407C22×C4—22no—
1408C22×C4—24no—
1409C22×C4—22no—
1410C22×C4—24no—
1411C22×C4—22no—
1412C22×C4—24no—
1413C22×C4—24no—
1414C22×C4—22no—
1415C22×C4—24no—
1416C22×C4—28no—
1417C22×C4—24no—
1418C22×C4—24no—
1419C22×C4—41no—
1420C22×C4—42no—
1421C22×C4—42no—
1422C22×C4—44no—
1423C22×C4—44no—
1424C22×C4—44no—
1425C22×C4—42no—
1426C22×C4—42no—
1427C22×C4—42no—
1428C22×C4—42no—
1429C22×C4—42no—
1430C22×C4—42no—
1431C22×C4—41no—
1432C22×C4—42no—
1433C22×C4—42no—
1434C22×C4—42no—
1435C22×C4—42no—
1436C22×C4—42no—
1437C22×C4—42no—
1438C22×C4—42no—
1439C22×C4—41no—
1440C22×C4—42no—
1441C22×C4—44no—
1442C22×C4—44no—
1443C22×C4—816no—
1444C22×C4C22×D418yes—
1445C22×C4C22×D418yes—
1446C22×C4C22×D4116yes—
1447C22×C4C2×#4114yes—
1448C22×C4C2511yescharacteristic
1449C22×C4C2511yescharacteristic
1450C22×C4C2512yes—
1451C22×C4C2511yescharacteristic
1452C22×C4C2511yescharacteristic
1453C22×C4C2512yes—
1454C22×C4C2511yescharacteristic
1455C22×C4C2512yes—
1456C22×C4C2514yes—
1457C22×C4C2512yes—
1458C22×C4C2514yes—
1459C22×C4C2511yescharacteristic
1460C22×C4C2511yescharacteristic
1461C22×C4C2511yescharacteristic
1462C22×C4C2514yes—
1463C22×C4C2512yes—
1464C22×C4C2512yes—
1465C22×C4C2512yes—
1466C22×C4C2512yes—
1467C22×C4C2512yes—
1468C22×C4C2512yes—
1469C22×C4C2511yescharacteristic
1470C22×C4C2514yes—
1471C22×C4C2512yes—
1472C22×C4C2511yescharacteristic
1473C22×C4C2512yes—
1474C22×C4C2511yescharacteristic
1475C22×C4C2511yescharacteristic
1476C22×C4C2511yescharacteristic
1477C4⋊C4—22no—
1478C4⋊C4—24no—
1479C4⋊C4—24no—
1480C4⋊C4—28no—
1481C4⋊C4—28no—
1482C4⋊C4—28no—
1483C4⋊C4—28no—
1484C4⋊C4—22no—
1485C4⋊C4—24no—
1486C4⋊C4—22no—
1487C4⋊C4—24no—
1488C4⋊C4—24no—
1489C4⋊C4—28no—
1490C4⋊C4—24no—
1491C4⋊C4—22no—
1492C4⋊C4—24no—
1493C4⋊C4—28no—
1494C4⋊C4—24no—
1495C4⋊C4—28no—
1496C4⋊C4—24no—
1497C4⋊C4—28no—
1498C4⋊C4—28no—
1499C4⋊C4—24no—
1500C4⋊C4—28no—
1501C4⋊C4—24no—
1502C4⋊C4—22no—
1503C4⋊C4—28no—
1504C4⋊C4—28no—
1505C4⋊C4—28no—
1506C4⋊C4—22no—
1507C4⋊C4—24no—
1508C4⋊C4—22no—
1509C4⋊C4—22no—
1510C4⋊C4—22no—
1511C4⋊C4—28no—
1512C4⋊C4—44no—
1513C4⋊C4—42no—
1514C4⋊C4—44no—
1515C4⋊C4—42no—
1516C4⋊C4—42no—
1517C4⋊C4—42no—
1518C4⋊C4—42no—
1519C4⋊C4—41no—
1520C4⋊C4—44no—
1521C4⋊C4—44no—
1522C4⋊C4—42no—
1523C4⋊C4—44no—
1524C4⋊C4—42no—
1525C4⋊C4—44no—
1526C4⋊C4—44no—
1527C4⋊C4—42no—
1528C4⋊C4—44no—
1529C4⋊C4C22×D414yes—
1530C4⋊C4C22×D418yes—
1531C4⋊C4C22×D4116yes—
1532C4⋊C4C22×D414yes—
1533C4⋊C4C22×D418yes—
1534C4⋊C4C2×#4114yes—
1535C4⋊C4C2×#4118yes—
1536C22⋊C4—24no—
1537C22⋊C4—24no—
1538C22⋊C4—28no—
1539C22⋊C4—28no—
1540C22⋊C4—24no—
1541C22⋊C4—28no—
1542C22⋊C4—28no—
1543C22⋊C4—28no—
1544C22⋊C4—24no—
1545C22⋊C4—22no—
1546C22⋊C4—28no—
1547C22⋊C4—24no—
1548C22⋊C4—24no—
1549C22⋊C4—28no—
1550C22⋊C4—28no—
1551C22⋊C4—24no—
1552C22⋊C4—24no—
1553C22⋊C4—28no—
1554C22⋊C4—28no—
1555C22⋊C4—24no—
1556C22⋊C4—28no—
1557C22⋊C4—24no—
1558C22⋊C4—24no—
1559C22⋊C4—24no—
1560C22⋊C4—28no—
1561C22⋊C4—24no—
1562C22⋊C4—22no—
1563C22⋊C4—24no—
1564C22⋊C4—28no—
1565C22⋊C4—28no—
1566C22⋊C4—22no—
1567C22⋊C4—24no—
1568C22⋊C4—24no—
1569C22⋊C4—42no—
1570C22⋊C4—42no—
1571C22⋊C4—42no—
1572C22⋊C4—42no—
1573C22⋊C4—42no—
1574C22⋊C4—42no—
1575C22⋊C4—42no—
1576C22⋊C4—42no—
1577C22⋊C4—44no—
1578C22⋊C4—41no—
1579C22⋊C4—41no—
1580C22⋊C4—42no—
1581C22⋊C4—42no—
1582C22⋊C4—42no—
1583C22⋊C4—42no—
1584C22⋊C4—42no—
1585C22⋊C4—41no—
1586C22⋊C4—42no—
1587C22⋊C4—44no—
1588C22⋊C4—42no—
1589C22⋊C4—44no—
1590C22⋊C4—44no—
1591C22⋊C4—42no—
1592C22⋊C4—42no—
1593C22⋊C4—44no—
1594C22⋊C4—44no—
1595C22⋊C4—44no—
1596C22⋊C4—44no—
1597C22⋊C4—42no—
1598C22⋊C4—42no—
1599C22⋊C4—44no—
1600C22⋊C4—44no—
1601C22⋊C4C22×D418yes—
1602C22⋊C4C22×D418yes—
1603C22⋊C4C22×D4116yes—
1604C22⋊C4C2×#4118yes—
1605C42—24no—
1606C42—22no—
1607C42—22no—
1608C42—22no—
1609C42—24no—
1610C42—28no—
1611C42—24no—
1612C42—24no—
1613C42—28no—
1614C42—22no—
1615C42—22no—
1616C42—22no—
1617C42—24no—
1618C42—28no—
1619C42—24no—
1620C42—28no—
1621C42—28no—
1622C42—28no—
1623C42—28no—
1624C42—22no—
1625C42—22no—
1626C42—24no—
1627C42—22no—
1628C42—24no—
1629C42—22no—
1630C42—42no—
1631C42—42no—
1632C42—41no—
1633C42—44no—
1634C42—41no—
1635C42—44no—
1636C42—44no—
1637C42C22×D414yes—
1638C23—21no—
1639C23—22no—
1640C23—22no—
1641C23—21no—
1642C23—22no—
1643C23—22no—
1644C23—21no—
1645C23—22no—
1646C23—22no—
1647C23—21no—
1648C23—22no—
1649C23—22no—
1650C23—21no—
1651C23—22no—
1652C23—22no—
1653C23—21no—
1654C23—22no—
1655C23—22no—
1656C23—21no—
1657C23—22no—
1658C23—22no—
1659C23—22no—
1660C23—22no—
1661C23—21no—
1662C23—22no—
1663C23—22no—
1664C23—21no—
1665C23—22no—
1666C23—22no—
1667C23—22no—
1668C23—21no—
1669C23—21no—
1670C23—22no—
1671C23—22no—
1672C23—21no—
1673C23—22no—
1674C23—22no—
1675C23—22no—
1676C23—21no—
1677C23—48no—
1678C23—48no—
1679C23—84no—
1680C23—84no—
1681C23—84no—
1682C23—84no—
1683C23—84no—
1684C23C23×D414yes—
1685C23C23×D414yes—
1686C23C22×#4112yes—
1687C23C2611yescharacteristic
1688Q8—28no—
1689Q8—216no—
1690Q8—416no—
1691Q8—48no—
1692Q8—48no—
1693Q8—44no—
1694Q8—84no—
1695D4—28no—
1696D4—28no—
1697D4—416no—
1698D4—48no—
1699D4—48no—
1700D4—48no—
1701D4—48no—
1702D4—48no—
1703D4—44no—
1704D4—48no—
1705D4—44no—
1706D4—44no—
1707D4—84no—
1708D4—88no—
1709D4—84no—
1710D4—88no—
1711D4—88no—
1712D4—84no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—22no—
1716C2×C4—22no—
1717C2×C4—22no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—21no—
1721C2×C4—24no—
1722C2×C4—24no—
1723C2×C4—22no—
1724C2×C4—21no—
1725C2×C4—22no—
1726C2×C4—21no—
1727C2×C4—22no—
1728C2×C4—21no—
1729C2×C4—216no—
1730C2×C4—28no—
1731C2×C4—216no—
1732C2×C4—22no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—24no—
1736C2×C4—22no—
1737C2×C4—22no—
1738C2×C4—21no—
1739C2×C4—24no—
1740C2×C4—21no—
1741C2×C4—22no—
1742C2×C4—22no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—24no—
1746C2×C4—21no—
1747C2×C4—24no—
1748C2×C4—22no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—22no—
1753C2×C4—22no—
1754C2×C4—21no—
1755C2×C4—22no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—22no—
1759C2×C4—24no—
1760C2×C4—22no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—22no—
1764C2×C4—22no—
1765C2×C4—24no—
1766C2×C4—22no—
1767C2×C4—22no—
1768C2×C4—22no—
1769C2×C4—21no—
1770C2×C4—22no—
1771C2×C4—24no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—22no—
1775C2×C4—21no—
1776C2×C4—24no—
1777C2×C4—22no—
1778C2×C4—22no—
1779C2×C4—21no—
1780C2×C4—21no—
1781C2×C4—22no—
1782C2×C4—21no—
1783C2×C4—21no—
1784C2×C4—22no—
1785C2×C4—22no—
1786C2×C4—22no—
1787C2×C4—21no—
1788C2×C4—24no—
1789C2×C4—416no—
1790C2×C4—44no—
1791C2×C4—48no—
1792C2×C4—48no—
1793C2×C4—416no—
1794C2×C4—48no—
1795C2×C4—48no—
1796C2×C4—44no—
1797C2×C4—48no—
1798C2×C4—44no—
1799C2×C4—48no—
1800C2×C4—44no—
1801C2×C4—84no—
1802C2×C4—82no—
1803C2×C4—84no—
1804C2×C4—84no—
1805C2×C4—88no—
1806C2×C4—84no—
1807C2×C4—84no—
1808C2×C4C23×D414yes—
1809C2×C4C23×D414yes—
1810C2×C4C23×D418yes—
1811C2×C4C23×D412yes—
1812C2×C4C23×D412yes—
1813C2×C4C23×D412yes—
1814C2×C4C22×#4114yes—
1815C2×C4C22×#4114yes—
1816C2×C4C22×#4112yes—
1817C2×C4C22×#4112yes—
1818C2×C4#58512yes—
1819C2×C4#58512yes—
1820C2×C4#58512yes—
1821C2×C4#58512yes—
1822C22—22no—
1823C22—24no—
1824C22—24no—
1825C22—24no—
1826C22—24no—
1827C22—22no—
1828C22—24no—
1829C22—22no—
1830C22—24no—
1831C22—42no—
1832C22—42no—
1833C22—41no—
1834C22—41no—
1835C22—42no—
1836C22—42no—
1837C22—41no—
1838C22—42no—
1839C22—42no—
1840C22—42no—
1841C22—42no—
1842C22—41no—
1843C22—41no—
1844C22—42no—
1845C22—42no—
1846C22—41no—
1847C22—42no—
1848C22—42no—
1849C22—42no—
1850C22—41no—
1851C22—42no—
1852C22—42no—
1853C22—41no—
1854C22—42no—
1855C22—41no—
1856C22—42no—
1857C22—42no—
1858C22—41no—
1859C22—42no—
1860C22—42no—
1861C22—41no—
1862C22—42no—
1863C22—42no—
1864C22—816no—
1865C22C24×D411yescharacteristic
1866C22C23×#4111yescharacteristic
1867C22C2×#58511yescharacteristic
1868C22C2×#58511yescharacteristic
1869C22C2×#58511yescharacteristic
1870C22C2×#58511yescharacteristic
1871C222−1+611yescharacteristic
1872C4—24no—
1873C4—22no—
1874C4—22no—
1875C4—24no—
1876C4—28no—
1877C4—24no—
1878C4—22no—
1879C4—24no—
1880C4—41no—
1881C4—42no—
1882C4—42no—
1883C4—41no—
1884C4—44no—
1885C4—41no—
1886C4—41no—
1887C4—42no—
1888C4—42no—
1889C4—42no—
1890C4—42no—
1891C4—41no—
1892C4—44no—
1893C4—41no—
1894C4—41no—
1895C4—42no—
1896C4—41no—
1897C4—42no—
1898C4—44no—
1899C4D4×#4114yes—
1900C4#348514yes—
1901C2—44no—
1902C2—44no—
1903C2—42no—
1904C2—81no—
1905C2—82no—
1906C2—82no—
1907C2C2×D4×#4111yescharacteristic
1908C2C2×#348511yescharacteristic
1909C2#6279311yescharacteristic
1910C2#6293611yescharacteristic
1911C2#6299511yescharacteristic
1912C2#6300211yescharacteristic
1913C2#6303111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3506C2semidirect
2. C2×#3482C2semidirect
3. #59418C2semidirect
4. #59244C2semidirect
5. #59175C2semidirect
6. #59121C2semidirect
7. #59114C2semidirect
8. #59067C2semidirect
9. #59040C2semidirect
10. #59017C2semidirect
11. #45136C2semidirect
12. #45093C2semidirect
13. #43540C2semidirect
14. #43501C2semidirect
15. #39961C2semidirect
16. #39884C2semidirect
17. #39343C2semidirect
18. #38958C2semidirect
19. #37813C2semidirect
20. #37786C2semidirect
21. #36582C2semidirect
22. #36433C2semidirect
23. #36411C2semidirect
24. #36411C2semidirect
25. #36185C2semidirect
26. #36161C2semidirect
27. #36151C2semidirect
28. #36148C2semidirect
29. #36015C2semidirect
30. #35758C2semidirect
31. #34742C2semidirect
32. #34715C2semidirect
33. #34316C2semidirect
34. #34266C2semidirect
35. C4×#546C2semidirect
39. C2×#557C22semidirect
42. C2×#556C22semidirect
47. C2×#552C22semidirect
48. C2×#552C22semidirect
50. C2×D4×Q8C22semidirect
54. C2×#547C22semidirect
60. C2×#533C22semidirect
61. C2×#533C22semidirect
64. C2×#529C22semidirect
69. C2×C4×#41C22semidirect
70. C2×C4×#41C22semidirect
71. C22×C4×Q8C22semidirect
73. #2862C22semidirect
75. #2857C22semidirect
77. #2854C22semidirect
78. #2854C22semidirect
79. #2850C22semidirect
81. #2724C22semidirect
84. #2715C22semidirect
86. #2708C22semidirect
87. #2707C22semidirect
88. #2701C22semidirect
89. #2700C22semidirect
90. #2700C22semidirect
91. #2698C22semidirect
93. #2694C22semidirect
94. #2688C22semidirect
98. #2674C22semidirect
102. #2661C22semidirect
106. #2602C22semidirect
107. #2602C22semidirect
108. #2591C22semidirect
109. #2579C22semidirect
110. #2567C22semidirect
111. #2567C22semidirect
112. #2558C22semidirect
113. #2558C22semidirect
114. #2554C22semidirect
115. #2552C22semidirect
116. #2551C22semidirect
118. #2542C22semidirect
121. #2538C22semidirect
122. #2538C22semidirect
124. #2521C22semidirect
125. #2521C22semidirect
126. #2519C22semidirect
127. #2512C22semidirect
128. #2500C22semidirect
129. #2500C22semidirect
130. #2499C22semidirect
131. #2499C22semidirect
132. #2496C22semidirect
137. #2489C22semidirect
139. #2485C22semidirect
140. #2485C22semidirect
141. #2485C22semidirect
143. #2478C22semidirect
146. #2474C22semidirect
147. #2474C22semidirect
148. #2474C22semidirect
150. #2471C22semidirect
151. #2469C22semidirect
152. #2469C22semidirect
153. #2469C22semidirect
154. #2468C22semidirect
157. #2462C22semidirect
158. #2462C22semidirect
159. #2461C22semidirect
160. #2461C22semidirect
162. #2459C22semidirect
163. #2459C22semidirect
164. #2458C22semidirect
165. #2458C22semidirect
167. #2453C22semidirect
168. #2453C22semidirect
169. #2453C22semidirect
170. #2451C22semidirect
171. #2450C22semidirect
173. #2446C22semidirect
176. #2445C22semidirect
177. #2445C22semidirect
178. #2442C22semidirect
180. #2439C22semidirect
181. #2439C22semidirect
182. #2439C22semidirect
185. #2432C22semidirect
186. #2431C22semidirect
188. #2429C22semidirect
195. #2423C22semidirect
198. #2422C22semidirect
199. #2422C22semidirect
201. #2421C22semidirect
202. #2421C22semidirect
204. #2420C22semidirect
205. #2420C22semidirect
206. #2420C22semidirect
207. #2419C22semidirect
208. #2419C22semidirect
211. #2417C22semidirect
215. #2415C22semidirect
218. #2414C22semidirect
220. #2409C22semidirect
223. #2407C22semidirect
224. #2407C22semidirect
226. #2395C22semidirect
227. #2392C22semidirect
229. #2374C22semidirect
234. #2365C22semidirect
235. #2365C22semidirect
236. #2365C22semidirect
242. #2362C22semidirect
243. #2362C22semidirect
244. #2362C22semidirect
245. #2362C22semidirect
246. #2362C22semidirect
247. #2362C22semidirect
250. #2360C22semidirect
251. #2360C22semidirect
253. #2359C22semidirect
256. #2354C22semidirect
257. #2354C22semidirect
258. #2354C22semidirect
260. #2351C22semidirect
261. Q8×C4⋊C4C22semidirect
263. #2345C22semidirect
265. #2341C22semidirect
266. #2341C22semidirect
267. #2341C22semidirect
270. #2335C22semidirect
273. #2322C22semidirect
274. #2310C22semidirect
275. C4×C4⋊Q8C22semidirect
277. C4×#124C22semidirect
280. C4×C22⋊Q8C22semidirect
283. C4×#123C22semidirect
284. C4×#123C22semidirect
285. C4×#123C22semidirect
288. C4×#121C22semidirect
291. #2297C22semidirect
292. #2296C22semidirect
293. #2296C22semidirect
294. #2293C22semidirect
295. #2285C22semidirect
297. #2274C22semidirect
325. #547D4semidirect
977. C22⋊Q8#41semidirect

Maximal subgroups

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

subgroupindex
C2×#35062
C2×#34822
#594182
#592442
#591752
#591212
#591142
#590672
#590402
#590172
#451362
#450932
#435402
#435012
#399612
#398842
#393432
#389582
#378132
#377862
#365822
#364332
#364112
#361852
#361612
#361512
#361482
#360152
#357582
#347422
#347152
#343162
#342662
C4×#5462