Finite Group Databasebeta

← #7678167

Subgroups — #7678167

Order 512.

7367 conjugacy classes of subgroups.

The subgroup lattice has 1982 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3511C211yesmaximal, characteristic, complemented
2C2×#3475C211yesmaximal, characteristic, complemented
3#59824C212yesmaximal, complemented
4#59680C212yesmaximal, complemented
5#59657C212yesmaximal, complemented
6#59586C212yesmaximal, complemented
7#59136C211yesmaximal, characteristic, complemented
8#59135C211yesmaximal, characteristic, complemented
9#59065C211yesmaximal, characteristic, complemented
10#59057C211yesmaximal, characteristic, complemented
11#59056C211yesmaximal, characteristic, complemented
12#59051C211yesmaximal, characteristic, complemented
13#59049C211yesmaximal, characteristic, complemented
14#59034C211yesmaximal, characteristic, complemented
15#45239C212yesmaximal, complemented
16#45236C212yesmaximal, complemented
17#45018C212yesmaximal, complemented
18#44886C212yesmaximal, complemented
19#43120C214yesmaximal, complemented
20#43115C214yesmaximal, complemented
21#39886C212yesmaximal, complemented
22#39862C212yesmaximal, complemented
23#39858C214yesmaximal, complemented
24#38379C214yesmaximal, complemented
25#36438C212yesmaximal, complemented
26#36235C212yesmaximal, complemented
27#35572C212yesmaximal, complemented
28#35525C212yesmaximal, complemented
29#35237C211yesmaximal, characteristic, complemented
30#35195C212yesmaximal, complemented
31#34977C211yesmaximal, characteristic, complemented
32#34909C211yesmaximal, characteristic, complemented
33#34295C212yesmaximal, complemented
34#34231C211yesmaximal, characteristic, complemented
35C4×#535C211yesmaximal, characteristic, complemented
36#3511—216no—
37#3475—216no—
38C2×#556C2211yescharacteristic
39C2×#556C2212yescomplemented
40C2×#555C2212yes—
41C2×#555C2211yescharacteristic
42C2×#554C2211yescharacteristic
43C2×#554C2212yescomplemented
44C2×#553C2212yes—
45C2×#553C2212yes—
46C2×#553C2212yescomplemented
47C2×#552C2212yes—
48C2×#552C2212yes—
49C2×#551C2214yes—
50C2×#550C2212yes—
51C2×#548C2212yes—
52C2×#548C2212yescomplemented
53C2×#547C2212yes—
54C2×#547C2211yescharacteristic
55C2×#546C2212yes—
56C2×#542C2212yes—
57C2×#542C2212yescomplemented
58C2×#537C2212yes—
59C2×#535C2211yescharacteristic
60C2×#533C2211yescharacteristic
61C2×#533C2211yescharacteristic, complemented
62C2×#532C2211yescharacteristic
63C2×#532C2211yescharacteristic, complemented
64C2×#532C2211yescharacteristic, complemented
65C22×C4⋊Q8C2211yescharacteristic, complemented
66C2×#529C2214yes—
67C2×#529C2212yes—
68C2×#525C2212yes—
69C2×#520C2212yescomplemented
70C2×C4×#41C2211yescharacteristic
71C2×C4×#41C2211yescharacteristic
72C2×C4×#41C2212yes—
73C22×C4×D4C2211yescharacteristic
74C22×#117C2212yes—
75#2852C2214yescomplemented
76#2850C2214yescomplemented
77#2847C2212yes—
78#2847C2212yes—
79#2733C2214yescomplemented
80#2731C2214yescomplemented
81#2730C2214yescomplemented
82#2729C2214yescomplemented
83#2723C2214yescomplemented
84#2723C2214yescomplemented
85#2721C2214yescomplemented
86#2714C2214yes—
87#2714C2214yescomplemented
88#2714C2214yescomplemented
89#2710C2214yes—
90#2706C2214yes—
91#2703C2214yes—
92#2703C2214yes—
93#2696C2214yes—
94#2696C2214yescomplemented
95#2690C2214yescomplemented
96#2678C2214yes—
97#2676C2214yes—
98#2673C2214yes—
99#2673C2214yescomplemented
100#2670C2214yes—
101#2669C2214yes—
102#2669C2214yes—
103#2636C2214yescomplemented
104#2631C2214yes—
105#2631C2214yescomplemented
106#2610C2214yescomplemented
107#2610C2214yescomplemented
108#2609C2214yescomplemented
109#2603C2214yescomplemented
110#2601C2214yescomplemented
111#2600C2212yes—
112#2600C2212yes—
113#2599C2212yescomplemented
114#2598C2214yescomplemented
115#2598C2212yescomplemented
116#2598C2214yescomplemented
117#2581C2211yescharacteristic, complemented
118#2580C2211yescharacteristic, complemented
119#2567C2211yescharacteristic, complemented
120#2563C2211yescharacteristic
121#2563C2211yescharacteristic
122#2563C2211yescharacteristic, complemented
123#2560C2214yescomplemented
124#2560C2214yescomplemented
125#2554C2214yes—
126#2554C2214yescomplemented
127#2550C2212yescomplemented
128#2548C2212yes—
129#2548C2211yescharacteristic, complemented
130#2544C2214yescomplemented
131#2541C2214yes—
132#2541C2212yes—
133#2541C2211yescharacteristic
134#2541C2211yescharacteristic
135#2541C2212yescomplemented
136#2541C2212yescomplemented
137#2541C2211yescharacteristic, complemented
138#2540C2214yes—
139#2540C2212yescomplemented
140#2540C2212yescomplemented
141#2536C2211yescharacteristic, complemented
142#2536C2212yescomplemented
143#2535C2212yes—
144#2535C2212yes—
145#2535C2211yescharacteristic, complemented
146#2535C2214yescomplemented
147#2512C2214yescomplemented
148#2504C2212yes—
149#2500C2212yes—
150#2492C2212yescomplemented
151#2491C2212yes—
152#2491C2212yescomplemented
153#2490C2212yescomplemented
154#2490C2214yescomplemented
155#2490C2212yescomplemented
156#2489C2214yescomplemented
157#2489C2212yescomplemented
158#2485C2211yescharacteristic
159#2485C2211yescharacteristic
160#2481C2214yescomplemented
161#2477C2214yescomplemented
162#2476C2214yes—
163#2476C2214yes—
164#2474C2214yes—
165#2472C2214yes—
166#2471C2214yescomplemented
167#2470C2214yes—
168#2469C2214yescomplemented
169#2467C2214yescomplemented
170#2467C2214yescomplemented
171#2463C2214yescomplemented
172#2461C2214yes—
173#2461C2214yescomplemented
174#2458C2214yescomplemented
175#2456C2214yescomplemented
176#2456C2214yescomplemented
177#2456C2214yescomplemented
178#2454C2212yescomplemented
179#2452C2212yes—
180#2448C2212yes—
181#2448C2212yescomplemented
182#2445C2214yescomplemented
183#2443C2214yescomplemented
184#2442C2212yescomplemented
185#2442C2212yescomplemented
186#2441C2212yescomplemented
187#2440C2212yescomplemented
188#2439C2212yescomplemented
189#2439C2212yescomplemented
190#2436C2214yescomplemented
191#2433C2212yes—
192#2431C2212yes—
193#2431C2212yes—
194#2431C2212yes—
195#2431C2214yescomplemented
196#2428C2212yes—
197#2428C2212yes—
198#2428C2212yescomplemented
199#2428C2212yescomplemented
200#2427C2212yescomplemented
201#2427C2212yescomplemented
202#2426C2212yes—
203#2426C2212yescomplemented
204#2424C2214yes—
205#2424C2214yes—
206#2421C2212yescomplemented
207#2421C2212yescomplemented
208#2418C2214yes—
209#2417C2212yescomplemented
210#2416C2212yes—
211#2416C2212yescomplemented
212#2416C2212yescomplemented
213#2416C2212yescomplemented
214#2415C2212yescomplemented
215#2414C2212yes—
216#2414C2212yes—
217#2414C2212yescomplemented
218#2414C2212yescomplemented
219#2414C2212yescomplemented
220#2414C2212yescomplemented
221#2409C2214yescomplemented
222#2407C2212yes—
223#2407C2211yescharacteristic
224#2407C2211yescharacteristic
225#2407C2214yescomplemented
226#2407C2212yescomplemented
227#2404C2214yes—
228#2395C2212yes—
229#2388C2212yes—
230#2388C2214yes—
231#2369C2211yescharacteristic, complemented
232#2369C2211yescharacteristic, complemented
233#2366C2212yes—
234#2366C2214yescomplemented
235#2365C2211yescharacteristic, complemented
236#2365C2211yescharacteristic, complemented
237#2363C2212yescomplemented
238#2363C2212yescomplemented
239#2363C2214yescomplemented
240#2363C2212yescomplemented
241#2362C2212yes—
242#2362C2212yes—
243#2361C2212yes—
244#2361C2212yescomplemented
245#2361C2214yescomplemented
246#2361C2212yescomplemented
247#2356C2214yescomplemented
248#2354C2212yescomplemented
249#2352C2212yescomplemented
250#2352C2214yescomplemented
251#2352C2212yescomplemented
252#2352C2212yescomplemented
253#2351C2212yescomplemented
254D4×C4⋊C4C2212yescomplemented
255#2347C2212yes—
256#2346C2212yes—
257#2341C2212yes—
258#2341C2212yescomplemented
259#2332C2214yes—
260#2328C2212yes—
261#2328C2212yes—
262#2328C2212yes—
263#2328C2214yescomplemented
264#2326C2212yes—
265#2324C2211yescharacteristic
266#2324C2211yescharacteristic
267#2324C2211yescharacteristic
268#2324C2211yescharacteristic
269#2324C2214yescomplemented
270#2321C2212yes—
271#2321C2212yes—
272#2320C2212yescomplemented
273#2317C2211yescharacteristic
274#2311C2211yescharacteristic
275#2309C2211yescharacteristic
276C4×#127C2212yes—
277C4×#127C2212yescomplemented
278C4×#125C2212yescomplemented
279C4×#125C2212yescomplemented
280C4×#124C2212yes—
281C4×#124C2212yescomplemented
282C4×C22⋊Q8C2211yescharacteristic, complemented
283C4×C22⋊Q8C2211yescharacteristic, complemented
284C4×#121C2211yescharacteristic
285C4×#121C2211yescharacteristic
286C4×#121C2211yescharacteristic
287C4×#121C2211yescharacteristic
288C4×#121C2214yescomplemented
289C4×#121C2211yescharacteristic, complemented
290C4×#121C2211yescharacteristic, complemented
291C4×#121C2212yescomplemented
292C4×#121C2212yescomplemented
293C4×#120C2212yes—
294C4×#120C2212yes—
295#2290C2212yescomplemented
296#2290C2212yescomplemented
297#2290C2214yescomplemented
298#2283C2211yescharacteristic
299#2276C2212yescomplemented
300C4×#117C2211yescharacteristic
301C22×#41C2311yescharacteristic
302C22×#41C2312yes—
303C22×#41C2312yes—
304C22×#41C2311yescharacteristic
305C22×#41C2312yes—
306C22×#41C2312yes—
307C23×Q8C2312yes—
308C23×D4C2311yescharacteristic
309C24×C4C2312yes—
310#556—28no—
311#556—216no—
312#555—28no—
313#555—216no—
314#554—28no—
315#554—216no—
316#553—216no—
317#553—216no—
318#553—216no—
319#552—216no—
320#552—216no—
321#551—232no—
322#550—216no—
323#548—216no—
324#548—216no—
325#547—28no—
326#547—216no—
327#546—216no—
328#542—216no—
329#542—216no—
330#537—216no—
331#535—28no—
332#533—28no—
333#533D4116yescomplemented
334#532—28no—
335#532—28no—
336#532—28no—
337C2×C4⋊Q8—28no—
338C2×C4⋊Q8C2311yescharacteristic
339C2×C4⋊Q8C2312yes—
340C2×C4⋊Q8C2312yes—
341C2×C4⋊Q8C2312yes—
342C2×C4⋊Q8C2311yescharacteristic
343C2×C4⋊Q8C2311yescharacteristic
344C2×#127C2312yes—
345C2×#127C2312yes—
346C2×#127C2314yes—
347C2×#127C2311yescharacteristic
348C2×#127C2312yes—
349C2×#127C2312yes—
350C2×#127C2314yes—
351#529—232no—
352#529—216no—
353C2×#126C2314yes—
354C2×#126C2314yes—
355C2×#126C2314yes—
356C2×#126C2314yes—
357C2×#126C2314yes—
358C2×#125C2314yes—
359C2×#125C2312yes—
360C2×#125C2312yes—
361C2×#125C2312yes—
362C2×#124C2312yes—
363C2×#124C2314yes—
364C2×#124C2312yes—
365C2×#124C2314yes—
366C2×#124C2312yes—
367C2×#124C2314yes—
368C2×#124C2312yes—
369C2×#124C2312yes—
370C2×#124C2312yes—
371C2×#124C2314yes—
372#525—216no—
373C2×#123C2314yes—
374C2×#123C2314yes—
375C2×#123C2314yes—
376C2×#123C2314yes—
377C2×#123C2314yes—
378C2×#123C2314yes—
379C2×C22⋊Q8C2314yes—
380C2×C22⋊Q8C2314yes—
381C2×C22⋊Q8C2312yes—
382C2×C22⋊Q8C2314yes—
383C2×C22⋊Q8C2312yes—
384C2×C22⋊Q8C2312yes—
385C2×C22⋊Q8C2312yes—
386C2×C22⋊Q8C2312yes—
387C2×C22⋊Q8C2314yes—
388C2×C22⋊Q8C2311yescharacteristic
389C2×C22⋊Q8C2311yescharacteristic
390C2×C22⋊Q8C2314yes—
391C2×C22⋊Q8C2312yes—
392C2×C22⋊Q8C2312yes—
393C2×#121C2311yescharacteristic
394C2×#121C2311yescharacteristic
395C2×#121C2311yescharacteristic
396C2×#121C2314yes—
397C2×#121C2312yes—
398C2×#121C2312yes—
399C2×#121C2314yes—
400C2×#121C2312yes—
401C2×#121C2312yes—
402C2×#121C2314yes—
403C2×#121C2314yes—
404C2×#121C2312yes—
405C2×#121C2312yes—
406C2×#121C2312yes—
407C2×#121C2312yes—
408C2×#121C2312yes—
409C2×#121C2314yes—
410C2×#121C2314yes—
411C2×#121C2312yes—
412C2×#121C2312yes—
413C2×#121C2312yes—
414C2×#121C2312yes—
415C2×#121C2312yes—
416C2×#121C2311yescharacteristic
417C2×#121C2311yescharacteristic
418C2×#121C2312yes—
419C2×#121C2314yes—
420C2×#121C2314yes—
421C2×#121C2314yes—
422C2×#121C2311yescharacteristic
423C2×#120C2312yes—
424C2×#120C2312yes—
425C2×#120C2314yes—
426C2×#120C2314yes—
427C2×#120C2314yes—
428#520—216no—
429C4×#41—216no—
430C4×#41—28no—
431C4×#41—28no—
432C2×C4×Q8C2311yescharacteristic
433C2×C4×Q8C2311yescharacteristic
434C2×C4×Q8C2311yescharacteristic
435C2×C4×Q8C2311yescharacteristic
436C2×C4×Q8C2312yes—
437C2×C4×Q8C2312yes—
438C2×C4×Q8C2312yes—
439C2×C4×Q8C2312yes—
440C2×C4×Q8C2312yes—
441C2×C4×Q8C2312yes—
442C2×C4×Q8C2312yes—
443C2×C4×D4—28no—
444C2×C4×D4C2311yescharacteristic
445C2×C4×D4C2312yes—
446C2×C4×D4C2311yescharacteristic
447C2×C4×D4C2312yes—
448C2×C4×D4C2311yescharacteristic
449C2×C4×D4C2311yescharacteristic
450C2×C4×D4C2311yescharacteristic
451C2×C4×D4C2311yescharacteristic
452C2×C4×D4C2311yescharacteristic
453C2×C4×D4C2311yescharacteristic
454C2×C4×D4C2311yescharacteristic
455C2×C4×D4C2314yes—
456C2×C4×D4C2312yes—
457C2×C4×D4C2311yescharacteristic
458C2×C4×D4C2312yes—
459C2×C4×D4C2314yes—
460C2×C4×D4C2314yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2314yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2312yes—
467C2×C4×D4C2314yes—
468C2×C4×D4C2312yes—
469C2×C4×D4C2314yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2311yescharacteristic
472C2×C4×D4C2311yescharacteristic
473C2×C4×D4C2312yes—
474C2×C4×D4C2312yes—
475C2×C4×D4C2312yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2312yes—
478C2×C4×D4C2312yes—
479C2×C4×D4C2314yes—
480C2×C4×D4C2314yes—
481C2×C4×D4C2314yes—
482C2×C4×D4C2314yes—
483C2×#117—216no—
484C2×#117C2311yescharacteristic
485C2×#117C2311yescharacteristic
486C2×#117C2311yescharacteristic
487C2×#117C2311yescharacteristic
488C2×#117C2314yes—
489C2×#117C2312yes—
490C2×#117C2314yes—
491C2×#117C2312yes—
492C2×#117C2312yes—
493C2×#117C2312yes—
494C2×#117C2314yes—
495C2×#117C2312yes—
496C2×#117C2311yescharacteristic
497C2×#117C2314yes—
498C2×#117C2311yescharacteristic
499C2×#117C2312yes—
500C22×C4⋊C4C2311yescharacteristic
501C22×C4⋊C4C2312yes—
502C22×C4⋊C4C2312yes—
503C22×C4⋊C4C2312yes—
504C22×C4⋊C4C2312yes—
505C22×C4⋊C4C2314yes—
506C22×C22⋊C4C2312yes—
507C22×C22⋊C4C2314yes—
508C22×C42C2314yes—
509C22×C42C2312yes—
510C22×C42C2311yescharacteristic
511C22×C42C2311yescharacteristic
512C22×C42C2311yescharacteristic
513#400C2312yes—
514#400C2314yes—
515#400C2314yes—
516#400C2314yes—
517#399C2312yes—
518#399C2314yes—
519#399C2314yes—
520#399C2314yes—
521#398C2314yes—
522#398C2314yes—
523#398C2312yes—
524#398C2314yes—
525#397C2314yes—
526#397C2314yes—
527#397C2312yes—
528#397C2312yes—
529#397C2312yes—
530#397C2314yes—
531#397C2314yes—
532#397C2314yes—
533#397C2314yes—
534#397C2314yes—
535#396C2314yes—
536#396C2314yes—
537#396C2314yes—
538#396C2314yes—
539#396C2314yes—
540#396C2314yes—
541#395C2314yes—
542#395C2312yes—
543#395C2314yes—
544#394C2314yes—
545#394C2314yes—
546#394C2312yes—
547#394C2314yes—
548#394C2314yes—
549#394C2312yes—
550#394C2312yes—
551#394C2312yes—
552#394C2312yes—
553#394C2314yes—
554#394C2314yes—
555#394C2314yes—
556#394C2314yes—
557#394C2314yes—
558#394C2314yes—
559#394C2314yes—
560#394C2314yes—
561#394C2314yes—
562#394C2314yes—
563#394C2314yes—
564#394C2314yes—
565#393C2312yes—
566#393C2314yes—
567#393C2314yes—
568#393C2314yes—
569#393C2314yes—
570#393C2314yes—
571#393C2314yes—
572#392C2312yes—
573#392C2314yes—
574#392C2314yes—
575#392C2312yes—
576#392C2312yes—
577#392C2314yes—
578#392C2314yes—
579#392C2314yes—
580#392C2314yes—
581#392C2314yes—
582#392C2314yes—
583#392C2314yes—
584#392C2314yes—
585#392C2314yes—
586#392C2314yes—
587#392C2314yes—
588#392C2314yes—
589#392C2314yes—
590#392C2314yes—
591#392C2314yes—
592#392C2314yes—
593#391C2312yes—
594#391C2314yes—
595#391C2312yes—
596#391C2312yes—
597#391C2312yes—
598#391C2311yescharacteristic
599#391C2311yescharacteristic
600#391C2314yes—
601#391C2314yes—
602#391C2314yes—
603#390C2314yes—
604#390C2314yes—
605#390C2312yes—
606#390C2312yes—
607#390C2312yes—
608#390C2312yes—
609#390C2312yes—
610#390C2312yes—
611#390C2312yes—
612#390C2314yes—
613#390C2312yes—
614#390C2312yes—
615#390C2312yes—
616#390C2311yescharacteristic
617#390C2311yescharacteristic
618#390C2311yescharacteristic
619#390C2311yescharacteristic
620#390C2312yes—
621#390C2314yes—
622#390C2314yes—
623#390C2314yes—
624#390C2311yescharacteristic
625#390C2311yescharacteristic
626#390C2312yes—
627#390C2312yes—
628#390C2314yes—
629#390C2314yes—
630#390C2314yes—
631#390C2312yes—
632#390C2314yes—
633#390C2314yes—
634#390C2314yes—
635#390C2314yes—
636#390C2314yes—
637#390C2312yes—
638#390C2314yes—
639#390C2312yes—
640#389C2312yes—
641#389C2312yes—
642#389C2312yes—
643#389C2312yes—
644#389C2312yes—
645#389C2312yes—
646#389C2311yescharacteristic
647#389C2311yescharacteristic
648#389C2311yescharacteristic
649#389C2311yescharacteristic
650#389C2312yes—
651#389C2312yes—
652#389C2314yes—
653#389C2311yescharacteristic
654#389C2311yescharacteristic
655#389C2311yescharacteristic
656#389C2311yescharacteristic
657#389C2314yes—
658#389C2314yes—
659#388C2312yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2312yes—
666#388C2312yes—
667#388C2312yes—
668#388C2312yes—
669#388C2312yes—
670#388C2312yes—
671#388C2312yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2312yes—
678#388C2314yes—
679#388C2314yes—
680#388C2314yes—
681#388C2314yes—
682#388C2314yes—
683#388C2312yes—
684#388C2314yes—
685#388C2314yes—
686#388C2312yes—
687#388C2312yes—
688#388C2312yes—
689#388C2312yes—
690#388C2314yes—
691#388C2314yes—
692#388C2314yes—
693#388C2314yes—
694#388C2314yes—
695#388C2314yes—
696#388C2314yes—
697#387C2312yes—
698#387C2314yes—
699#387C2314yes—
700#387C2314yes—
701#387C2314yes—
702#387C2314yes—
703#387C2312yes—
704#387C2314yes—
705#387C2314yes—
706#387C2312yes—
707#387C2314yes—
708#387C2312yes—
709#387C2312yes—
710#387C2312yes—
711#387C2314yes—
712#387C2314yes—
713#386C2314yes—
714#386C2314yes—
715#386C2312yes—
716#386C2312yes—
717#386C2312yes—
718#386C2312yes—
719#386C2312yes—
720#386C2312yes—
721#386C2312yes—
722#386C2312yes—
723#386C2312yes—
724#386C2312yes—
725#386C2314yes—
726#386C2314yes—
727#386C2314yes—
728#386C2314yes—
729#386C2314yes—
730#386C2314yes—
731#386C2314yes—
732#386C2314yes—
733#386C2312yes—
734#386C2314yes—
735#386C2314yes—
736#386C2314yes—
737#386C2314yes—
738#386C2314yes—
739#386C2314yes—
740#386C2314yes—
741#386C2314yes—
742#386C2314yes—
743#386C2314yes—
744#386C2312yes—
745#386C2312yes—
746#386C2314yes—
747#386C2314yes—
748#386C2314yes—
749#386C2312yes—
750#386C2314yes—
751#386C2312yes—
752#386C2312yes—
753#386C2314yes—
754#386C2314yes—
755#385C2312yes—
756#385C2312yes—
757#385C2312yes—
758#385C2312yes—
759#385C2312yes—
760#385C2312yes—
761#385C2312yes—
762#385C2312yes—
763#385C2312yes—
764#385C2314yes—
765#385C2314yes—
766#385C2312yes—
767#385C2312yes—
768#385C2314yes—
769#385C2314yes—
770#385C2312yes—
771#385C2314yes—
772#385C2314yes—
773#384C2312yes—
774#384C2312yes—
775#383C2314yes—
776#383C2312yes—
777#382C2311yescharacteristic
778#382C2311yescharacteristic
779#382C2312yes—
780#382C2312yes—
781#382C2312yes—
782#382C2312yes—
783#382C2314yes—
784#382C2314yes—
785#381C2312yes—
786#380C2312yes—
787#380C2312yes—
788#380C2312yes—
789#380C2312yes—
790#380C2312yes—
791#380C2312yes—
792#380C2311yescharacteristic
793#380C2311yescharacteristic
794#380C2311yescharacteristic
795#380C2311yescharacteristic
796#380C2314yes—
797#380C2311yescharacteristic
798#380C2311yescharacteristic
799#380C2314yes—
800#380C2311yescharacteristic
801#380C2311yescharacteristic
802#380C2311yescharacteristic
803#380C2311yescharacteristic
804#380C2314yes—
805#380C2314yes—
806#379C2312yes—
807#379C2312yes—
808C4×C4⋊C4C2314yes—
809C4×C4⋊C4C2314yes—
810C4×C4⋊C4C2314yes—
811C4×C4⋊C4C2312yes—
812C4×C4⋊C4C2312yes—
813C4×C4⋊C4C2312yes—
814C4×C4⋊C4C2312yes—
815C4×C4⋊C4C2314yes—
816C4×C4⋊C4C2311yescharacteristic
817C4×C4⋊C4C2311yescharacteristic
818C4×C4⋊C4C2311yescharacteristic
819C4×C4⋊C4C2311yescharacteristic
820C4×C4⋊C4C2311yescharacteristic
821C4×C4⋊C4C2311yescharacteristic
822C4×C4⋊C4C2314yes—
823C4×C4⋊C4C2314yes—
824C4×C4⋊C4C2312yes—
825C4×C4⋊C4C2312yes—
826C4×C4⋊C4C2312yes—
827C4×C4⋊C4C2312yes—
828C4×C22⋊C4C2314yes—
829C4×C22⋊C4C2314yes—
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2314yes—
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2314yes—
836C4×C22⋊C4C2314yes—
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2312yes—
842C4×C22⋊C4C2312yes—
843C4×C22⋊C4C2314yes—
844C4×C22⋊C4C2312yes—
845#376C2312yes—
846#376C2312yes—
847#376C2314yes—
848C43C2312yes—
849C25C2412yes—
850C2×#41—28no—
851C2×#41—28no—
852C2×#41—28no—
853C2×#41—28no—
854C2×#41—24no—
855C2×#41—24no—
856C2×#41—28no—
857C2×#41—24no—
858C2×#41—28no—
859C2×#41—42no—
860C2×#41—42no—
861C2×#41—42no—
862C2×#41—44no—
863C2×#41—44no—
864C2×#41—82no—
865C2×#41—82no—
866C2×#41—82no—
867C2×#41—82no—
868C22×Q8—28no—
869C22×Q8—82no—
870C22×Q8—82no—
871C22×Q8C2411yescharacteristic
872C22×Q8C2411yescharacteristic
873C22×Q8C2412yes—
874C22×Q8C2412yes—
875C22×Q8C2414yes—
876C22×Q8C2412yes—
877C22×D4—24no—
878C22×D4—24no—
879C22×D4—42no—
880C22×D4C2412yes—
881C22×D4C2411yescharacteristic
882C22×D4C2411yescharacteristic
883C22×D4C2412yes—
884C22×D4C2411yescharacteristic
885C22×D4C2411yescharacteristic
886C22×D4C2414yes—
887C22×D4C2414yes—
888C22×D4C2411yescharacteristic
889C22×D4C2412yes—
890C22×D4C2411yescharacteristic
891C22×D4C2412yes—
892C22×D4C2414yes—
893C22×D4C2412yes—
894C22×D4C2412yes—
895C22×D4C2414yes—
896C22×D4C2414yes—
897C22×D4C2412yes—
898C22×D4C2412yes—
899C22×D4C2414yes—
900C22×D4C2412yes—
901C22×D4C2414yes—
902C22×D4C2414yes—
903C22×D4C2414yes—
904C22×D4C2412yes—
905C22×D4C2414yes—
906C22×D4C2414yes—
907C22×D4C2412yes—
908C23×C4—28no—
909C23×C4—44no—
910C23×C4—44no—
911C23×C4C2411yescharacteristic
912C23×C4C2412yes—
913C23×C4C2411yescharacteristic
914C23×C4C2412yes—
915C23×C4C2412yes—
916C23×C4C2411yescharacteristic
917C23×C4C2414yes—
918C23×C4C2414yes—
919C23×C4C2411yescharacteristic
920C23×C4C2411yescharacteristic
921C23×C4C2411yescharacteristic
922C23×C4C2412yes—
923C23×C4C2414yes—
924C23×C4C2414yes—
925C23×C4C2414yes—
926C23×C4C2414yes—
927C23×C4C2412yes—
928C23×C4C2412yes—
929C23×C4C2412yes—
930C23×C4C2412yes—
931C23×C4C2411yescharacteristic
932C23×C4C2411yescharacteristic
933C23×C4C2411yescharacteristic
934C4⋊Q8—28no—
935C4⋊Q8—28no—
936C4⋊Q8—28no—
937C4⋊Q8—24no—
938C4⋊Q8C2×D418yes—
939C4⋊Q8C2×D418yes—
940#127—28no—
941#127—216no—
942#127—28no—
943#127—24no—
944#127—44no—
945#127—44no—
946#127—84no—
947#126—216no—
948#126—216no—
949#126—216no—
950#126—216no—
951#126—216no—
952#125—216no—
953#125—28no—
954#125—28no—
955#125C2×D4116yes—
956#124—28no—
957#124—216no—
958#124—28no—
959#124—28no—
960#124—216no—
961#124—28no—
962#124—28no—
963#124—216no—
964#124—44no—
965#124—84no—
966#123—216no—
967#123—216no—
968#123—216no—
969#123—216no—
970#123—216no—
971#123—216no—
972C22⋊Q8—28no—
973C22⋊Q8—216no—
974C22⋊Q8—28no—
975C22⋊Q8—28no—
976C22⋊Q8—28no—
977C22⋊Q8—28no—
978C22⋊Q8—216no—
979C22⋊Q8—216no—
980C22⋊Q8—216no—
981C22⋊Q8—42no—
982C22⋊Q8—42no—
983C22⋊Q8—84no—
984C22⋊Q8C2×D4116yes—
985C22⋊Q8C2×D4116yes—
986#121—24no—
987#121—216no—
988#121—28no—
989#121—28no—
990#121—24no—
991#121—28no—
992#121—28no—
993#121—216no—
994#121—28no—
995#121—28no—
996#121—28no—
997#121—28no—
998#121—28no—
999#121—216no—
1000#121—24no—
1001#121—28no—
1002#121—216no—
1003#121—216no—
1004#121—216no—
1005#121—44no—
1006#121—42no—
1007#121—42no—
1008#121—44no—
1009#121—44no—
1010#121—44no—
1011#121—44no—
1012#121—84no—
1013#121—84no—
1014#121—84no—
1015#121#4118yescomplemented
1016#120—28no—
1017#120—216no—
1018#120—28no—
1019#120—84no—
1020#120—84no—
1021C4×Q8—28no—
1022C4×Q8—28no—
1023C4×Q8—28no—
1024C4×Q8—28no—
1025C4×Q8—24no—
1026C4×Q8—24no—
1027C4×Q8—24no—
1028C4×Q8—24no—
1029C4×Q8—44no—
1030C4×Q8C2×D4116yes—
1031C4×Q8C2×D4116yes—
1032C4×D4—28no—
1033C4×D4—24no—
1034C4×D4—24no—
1035C4×D4—28no—
1036C4×D4—24no—
1037C4×D4—24no—
1038C4×D4—28no—
1039C4×D4—28no—
1040C4×D4—216no—
1041C4×D4—28no—
1042C4×D4—216no—
1043C4×D4—28no—
1044C4×D4—28no—
1045C4×D4—28no—
1046C4×D4—216no—
1047C4×D4—24no—
1048C4×D4—24no—
1049C4×D4—28no—
1050C4×D4—24no—
1051C4×D4—28no—
1052C4×D4—24no—
1053C4×D4—216no—
1054C4×D4—24no—
1055C4×D4—24no—
1056C4×D4—24no—
1057C4×D4—24no—
1058C4×D4—28no—
1059C4×D4—216no—
1060C4×D4—216no—
1061C4×D4—28no—
1062C4×D4—44no—
1063C4×D4—44no—
1064C4×D4—44no—
1065C4×D4—44no—
1066C4×D4—44no—
1067C4×D4—84no—
1068C4×D4—84no—
1069C4×D4—84no—
1070C4×D4—84no—
1071#117—24no—
1072#117—24no—
1073#117—28no—
1074#117—28no—
1075#117—216no—
1076#117—28no—
1077#117—28no—
1078#117—24no—
1079#117—216no—
1080#117—216no—
1081#117—24no—
1082#117—28no—
1083#117—24no—
1084#117—216no—
1085#117—42no—
1086#117C2×D4116yes—
1087C2×C4⋊C4—24no—
1088C2×C4⋊C4—28no—
1089C2×C4⋊C4—28no—
1090C2×C4⋊C4—28no—
1091C2×C4⋊C4—216no—
1092C2×C4⋊C4—28no—
1093C2×C4⋊C4C2411yescharacteristic
1094C2×C4⋊C4C2411yescharacteristic
1095C2×C4⋊C4C2411yescharacteristic
1096C2×C4⋊C4C2414yes—
1097C2×C4⋊C4C2411yescharacteristic
1098C2×C4⋊C4C2414yes—
1099C2×C4⋊C4C2414yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2411yescharacteristic
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2414yes—
1105C2×C4⋊C4C2414yes—
1106C2×C4⋊C4C2411yescharacteristic
1107C2×C4⋊C4C2411yescharacteristic
1108C2×C4⋊C4C2411yescharacteristic
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2414yes—
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2411yescharacteristic
1113C2×C4⋊C4C2411yescharacteristic
1114C2×C4⋊C4C2411yescharacteristic
1115C2×C4⋊C4C2411yescharacteristic
1116C2×C4⋊C4C2411yescharacteristic
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2414yes—
1119C2×C4⋊C4C2414yes—
1120C2×C4⋊C4C2414yes—
1121C2×C4⋊C4C2411yescharacteristic
1122C2×C4⋊C4C2411yescharacteristic
1123C2×C4⋊C4C2411yescharacteristic
1124C2×C4⋊C4C2411yescharacteristic
1125C2×C4⋊C4C2414yes—
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2414yes—
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2414yes—
1134C2×C4⋊C4C2414yes—
1135C2×C4⋊C4C2414yes—
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2412yes—
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2412yes—
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2414yes—
1143C2×C4⋊C4C2412yes—
1144C2×C4⋊C4C2414yes—
1145C2×C4⋊C4C2411yescharacteristic
1146C2×C22⋊C4—28no—
1147C2×C22⋊C4—216no—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2411yescharacteristic
1156C2×C22⋊C4C2411yescharacteristic
1157C2×C22⋊C4C2414yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2411yescharacteristic
1163C2×C22⋊C4C2411yescharacteristic
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2411yescharacteristic
1166C2×C22⋊C4C2411yescharacteristic
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2414yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2414yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2414yes—
1176C2×C22⋊C4C2414yes—
1177C2×C22⋊C4C2414yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2414yes—
1188C2×C22⋊C4C2414yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2414yes—
1202C2×C22⋊C4C2414yes—
1203C2×C22⋊C4C2414yes—
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2412yes—
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2414yes—
1208C2×C22⋊C4C2414yes—
1209C2×C22⋊C4C2412yes—
1210C2×C22⋊C4C2412yes—
1211C2×C22⋊C4C2414yes—
1212C2×C22⋊C4C2414yes—
1213C2×C22⋊C4C2414yes—
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2412yes—
1216C2×C22⋊C4C2412yes—
1217C2×C22⋊C4C2412yes—
1218C2×C22⋊C4C2412yes—
1219C2×C22⋊C4C2414yes—
1220C2×C22⋊C4C2414yes—
1221C2×C22⋊C4C2414yes—
1222C2×C22⋊C4C2412yes—
1223C2×C42—216no—
1224C2×C42—28no—
1225C2×C42—24no—
1226C2×C42—24no—
1227C2×C42C2×D418yes—
1228C2×C42C2414yes—
1229C2×C42C2412yes—
1230C2×C42C2411yescharacteristic
1231C2×C42C2414yes—
1232C2×C42C2412yes—
1233C2×C42C2414yes—
1234C2×C42C2411yescharacteristic
1235C2×C42C2412yes—
1236C2×C42C2411yescharacteristic
1237C2×C42C2411yescharacteristic
1238C2×C42C2411yescharacteristic
1239C2×C42C2412yes—
1240C2×C42C2412yes—
1241C2×C42C2412yes—
1242C2×C42C2411yescharacteristic
1243C2×C42C2412yes—
1244C2×C42C2412yes—
1245C2×C42C2414yes—
1246C2×C42C2412yes—
1247C2×C42C2412yes—
1248C2×C42C2412yes—
1249C2×C42C2414yes—
1250C2×C42C2414yes—
1251C2×C42C2414yes—
1252C2×C42C2414yes—
1253C2×C42C2411yescharacteristic
1254C2×C42C2411yescharacteristic
1255C2×C42C2411yescharacteristic
1256C2×C42C2411yescharacteristic
1257#95C2412yes—
1258#95C2412yes—
1259#95C2412yes—
1260#95C2412yes—
1261#95C2412yes—
1262#95C2412yes—
1263#95C2412yes—
1264#95C2412yes—
1265#95C2414yes—
1266#95C2414yes—
1267#95C2412yes—
1268#95C2414yes—
1269#95C2412yes—
1270#95C2412yes—
1271#95C2412yes—
1272#95C2412yes—
1273#95C2412yes—
1274#95C2412yes—
1275#95C2412yes—
1276#95C2412yes—
1277#95C2414yes—
1278#95C2414yes—
1279#95C2412yes—
1280#95C2412yes—
1281#95C2412yes—
1282#95C2412yes—
1283#95C2414yes—
1284#95C2412yes—
1285#95C2412yes—
1286#95C2414yes—
1287#95C2412yes—
1288#95C2412yes—
1289#95C2412yes—
1290#95C2412yes—
1291#95C2412yes—
1292#95C2414yes—
1293#95C2412yes—
1294#95C2412yes—
1295#95C2412yes—
1296#95C2414yes—
1297#95C2414yes—
1298#95C2414yes—
1299#95C2414yes—
1300#95C2414yes—
1301#95C2414yes—
1302#95C2412yes—
1303#95C2414yes—
1304#95C2414yes—
1305C24—24no—
1306C24—24no—
1307C24—42no—
1308C24—42no—
1309C24—42no—
1310C24—42no—
1311C24—42no—
1312C24C2512yes—
1313C24C2514yes—
1314C24C2512yes—
1315C24C2511yescharacteristic
1316C24C2511yescharacteristic
1317C24C2512yes—
1318C24C2511yescharacteristic
1319#41—416no—
1320#41—432no—
1321#41—416no—
1322#41—432no—
1323#41—816no—
1324#41—816no—
1325C2×Q8—22no—
1326C2×Q8—22no—
1327C2×Q8—24no—
1328C2×Q8—28no—
1329C2×Q8—24no—
1330C2×Q8—22no—
1331C2×Q8—24no—
1332C2×Q8—22no—
1333C2×Q8—22no—
1334C2×Q8—42no—
1335C2×Q8—42no—
1336C2×Q8—42no—
1337C2×Q8—42no—
1338C2×Q8—41no—
1339C2×Q8—44no—
1340C2×Q8—44no—
1341C2×Q8—816no—
1342C2×Q8C22×D418yes—
1343C2×Q8C22×D418yes—
1344C2×D4—24no—
1345C2×D4—22no—
1346C2×D4—22no—
1347C2×D4—22no—
1348C2×D4—28no—
1349C2×D4—28no—
1350C2×D4—24no—
1351C2×D4—22no—
1352C2×D4—28no—
1353C2×D4—24no—
1354C2×D4—28no—
1355C2×D4—24no—
1356C2×D4—24no—
1357C2×D4—28no—
1358C2×D4—22no—
1359C2×D4—24no—
1360C2×D4—28no—
1361C2×D4—28no—
1362C2×D4—22no—
1363C2×D4—22no—
1364C2×D4—24no—
1365C2×D4—22no—
1366C2×D4—24no—
1367C2×D4—24no—
1368C2×D4—28no—
1369C2×D4—28no—
1370C2×D4—22no—
1371C2×D4—22no—
1372C2×D4—24no—
1373C2×D4—24no—
1374C2×D4—28no—
1375C2×D4—22no—
1376C2×D4—24no—
1377C2×D4—24no—
1378C2×D4—22no—
1379C2×D4—24no—
1380C2×D4—22no—
1381C2×D4—22no—
1382C2×D4—416no—
1383C2×D4—42no—
1384C2×D4—42no—
1385C2×D4—42no—
1386C2×D4—41no—
1387C2×D4—44no—
1388C2×D4—44no—
1389C2×D4—41no—
1390C2×D4—42no—
1391C2×D4—41no—
1392C2×D4—42no—
1393C2×D4—42no—
1394C2×D4—42no—
1395C2×D4—42no—
1396C2×D4—42no—
1397C2×D4—42no—
1398C2×D4—42no—
1399C2×D4—44no—
1400C2×D4—44no—
1401C2×D4—44no—
1402C2×D4—44no—
1403C2×D4—44no—
1404C2×D4—44no—
1405C2×D4—44no—
1406C2×D4—44no—
1407C2×D4—42no—
1408C2×D4—44no—
1409C2×D4—42no—
1410C2×D4—44no—
1411C2×D4—42no—
1412C2×D4—42no—
1413C2×D4—42no—
1414C2×D4—44no—
1415C2×D4—44no—
1416C2×D4—44no—
1417C2×D4—44no—
1418C2×D4—42no—
1419C2×D4—42no—
1420C2×D4—44no—
1421C2×D4—44no—
1422C2×D4—44no—
1423C2×D4—44no—
1424C2×D4—44no—
1425C2×D4—44no—
1426C2×D4—44no—
1427C2×D4C2×#4114yes—
1428C2×D4C2×#4118yes—
1429C22×C4—22no—
1430C22×C4—22no—
1431C22×C4—22no—
1432C22×C4—22no—
1433C22×C4—22no—
1434C22×C4—22no—
1435C22×C4—24no—
1436C22×C4—28no—
1437C22×C4—24no—
1438C22×C4—28no—
1439C22×C4—22no—
1440C22×C4—22no—
1441C22×C4—24no—
1442C22×C4—24no—
1443C22×C4—22no—
1444C22×C4—22no—
1445C22×C4—22no—
1446C22×C4—24no—
1447C22×C4—28no—
1448C22×C4—24no—
1449C22×C4—24no—
1450C22×C4—28no—
1451C22×C4—24no—
1452C22×C4—22no—
1453C22×C4—22no—
1454C22×C4—22no—
1455C22×C4—22no—
1456C22×C4—22no—
1457C22×C4—22no—
1458C22×C4—24no—
1459C22×C4—24no—
1460C22×C4—24no—
1461C22×C4—24no—
1462C22×C4—24no—
1463C22×C4—28no—
1464C22×C4—24no—
1465C22×C4—28no—
1466C22×C4—28no—
1467C22×C4—28no—
1468C22×C4—42no—
1469C22×C4—42no—
1470C22×C4—42no—
1471C22×C4—42no—
1472C22×C4—42no—
1473C22×C4—42no—
1474C22×C4—41no—
1475C22×C4—41no—
1476C22×C4—44no—
1477C22×C4—44no—
1478C22×C4—42no—
1479C22×C4—42no—
1480C22×C4—41no—
1481C22×C4—41no—
1482C22×C4—41no—
1483C22×C4—41no—
1484C22×C4—42no—
1485C22×C4—42no—
1486C22×C4—44no—
1487C22×C4—44no—
1488C22×C4—44no—
1489C22×C4—44no—
1490C22×C4—44no—
1491C22×C4—44no—
1492C22×C4—44no—
1493C22×C4—44no—
1494C22×C4—432no—
1495C22×C4C22×D414yes—
1496C22×C4C22×D414yes—
1497C22×C4C22×D414yes—
1498C22×C4C2×#4114yes—
1499C22×C4C2512yes—
1500C22×C4C2512yes—
1501C22×C4C2512yes—
1502C22×C4C2512yes—
1503C22×C4C2512yes—
1504C22×C4C2512yes—
1505C22×C4C2512yes—
1506C22×C4C2512yes—
1507C22×C4C2512yes—
1508C22×C4C2511yescharacteristic
1509C22×C4C2511yescharacteristic
1510C22×C4C2512yes—
1511C22×C4C2511yescharacteristic
1512C22×C4C2514yes—
1513C22×C4C2512yes—
1514C22×C4C2511yescharacteristic
1515C22×C4C2512yes—
1516C22×C4C2511yescharacteristic
1517C22×C4C2511yescharacteristic
1518C22×C4C2511yescharacteristic
1519C22×C4C2511yescharacteristic
1520C22×C4C2511yescharacteristic
1521C22×C4C2514yes—
1522C22×C4C2514yes—
1523C22×C4C2512yes—
1524C22×C4C2511yescharacteristic
1525C22×C4C2511yescharacteristic
1526C22×C4C2511yescharacteristic
1527C4⋊C4—22no—
1528C4⋊C4—22no—
1529C4⋊C4—22no—
1530C4⋊C4—28no—
1531C4⋊C4—22no—
1532C4⋊C4—28no—
1533C4⋊C4—28no—
1534C4⋊C4—24no—
1535C4⋊C4—22no—
1536C4⋊C4—24no—
1537C4⋊C4—24no—
1538C4⋊C4—28no—
1539C4⋊C4—28no—
1540C4⋊C4—22no—
1541C4⋊C4—22no—
1542C4⋊C4—22no—
1543C4⋊C4—24no—
1544C4⋊C4—28no—
1545C4⋊C4—24no—
1546C4⋊C4—22no—
1547C4⋊C4—22no—
1548C4⋊C4—28no—
1549C4⋊C4—28no—
1550C4⋊C4—22no—
1551C4⋊C4—24no—
1552C4⋊C4—28no—
1553C4⋊C4—22no—
1554C4⋊C4—22no—
1555C4⋊C4—22no—
1556C4⋊C4—22no—
1557C4⋊C4—22no—
1558C4⋊C4—22no—
1559C4⋊C4—42no—
1560C4⋊C4—42no—
1561C4⋊C4—42no—
1562C4⋊C4—42no—
1563C4⋊C4—42no—
1564C4⋊C4—44no—
1565C4⋊C4—42no—
1566C4⋊C4—44no—
1567C4⋊C4—44no—
1568C4⋊C4—44no—
1569C4⋊C4—44no—
1570C4⋊C4—42no—
1571C4⋊C4—42no—
1572C4⋊C4—42no—
1573C4⋊C4C22×D418yes—
1574C4⋊C4C22×D418yes—
1575C4⋊C4C22×D418yes—
1576C4⋊C4C22×D4116yes—
1577C4⋊C4C22×D418yes—
1578C4⋊C4C22×D4116yes—
1579C4⋊C4C2×#4114yes—
1580C22⋊C4—24no—
1581C22⋊C4—22no—
1582C22⋊C4—22no—
1583C22⋊C4—24no—
1584C22⋊C4—24no—
1585C22⋊C4—24no—
1586C22⋊C4—28no—
1587C22⋊C4—28no—
1588C22⋊C4—24no—
1589C22⋊C4—24no—
1590C22⋊C4—24no—
1591C22⋊C4—22no—
1592C22⋊C4—22no—
1593C22⋊C4—28no—
1594C22⋊C4—24no—
1595C22⋊C4—28no—
1596C22⋊C4—28no—
1597C22⋊C4—28no—
1598C22⋊C4—22no—
1599C22⋊C4—24no—
1600C22⋊C4—22no—
1601C22⋊C4—28no—
1602C22⋊C4—28no—
1603C22⋊C4—28no—
1604C22⋊C4—28no—
1605C22⋊C4—28no—
1606C22⋊C4—28no—
1607C22⋊C4—28no—
1608C22⋊C4—24no—
1609C22⋊C4—24no—
1610C22⋊C4—28no—
1611C22⋊C4—24no—
1612C22⋊C4—24no—
1613C22⋊C4—42no—
1614C22⋊C4—42no—
1615C22⋊C4—42no—
1616C22⋊C4—42no—
1617C22⋊C4—42no—
1618C22⋊C4—42no—
1619C22⋊C4—42no—
1620C22⋊C4—42no—
1621C22⋊C4—42no—
1622C22⋊C4—42no—
1623C22⋊C4—42no—
1624C22⋊C4—44no—
1625C22⋊C4—42no—
1626C22⋊C4—42no—
1627C22⋊C4—44no—
1628C22⋊C4—44no—
1629C22⋊C4—44no—
1630C22⋊C4—44no—
1631C22⋊C4—42no—
1632C22⋊C4—42no—
1633C22⋊C4—44no—
1634C22⋊C4—44no—
1635C22⋊C4—44no—
1636C22⋊C4—44no—
1637C22⋊C4—42no—
1638C22⋊C4—42no—
1639C22⋊C4—44no—
1640C22⋊C4—44no—
1641C22⋊C4—44no—
1642C22⋊C4—44no—
1643C22⋊C4—42no—
1644C22⋊C4—42no—
1645C22⋊C4—42no—
1646C22⋊C4—42no—
1647C22⋊C4—42no—
1648C22⋊C4—42no—
1649C22⋊C4—44no—
1650C22⋊C4—44no—
1651C22⋊C4—42no—
1652C22⋊C4—42no—
1653C22⋊C4C22×D4116yes—
1654C22⋊C4C2×#4118yes—
1655C42—24no—
1656C42—28no—
1657C42—22no—
1658C42—28no—
1659C42—24no—
1660C42—22no—
1661C42—22no—
1662C42—22no—
1663C42—22no—
1664C42—24no—
1665C42—22no—
1666C42—28no—
1667C42—24no—
1668C42—28no—
1669C42—24no—
1670C42—24no—
1671C42—24no—
1672C42—24no—
1673C42—42no—
1674C42—42no—
1675C42—42no—
1676C42—44no—
1677C42—44no—
1678C42—44no—
1679C42C22×D414yes—
1680C42C22×D414yes—
1681C42C22×D4116yes—
1682C42C22×D414yes—
1683C42C22×D414yes—
1684C23—22no—
1685C23—21no—
1686C23—21no—
1687C23—21no—
1688C23—21no—
1689C23—21no—
1690C23—22no—
1691C23—22no—
1692C23—21no—
1693C23—21no—
1694C23—21no—
1695C23—22no—
1696C23—22no—
1697C23—22no—
1698C23—21no—
1699C23—21no—
1700C23—21no—
1701C23—21no—
1702C23—22no—
1703C23—22no—
1704C23—21no—
1705C23—24no—
1706C23—22no—
1707C23—22no—
1708C23—24no—
1709C23—21no—
1710C23—21no—
1711C23—24no—
1712C23—21no—
1713C23—21no—
1714C23—22no—
1715C23—24no—
1716C23—22no—
1717C23—22no—
1718C23—22no—
1719C23—24no—
1720C23—22no—
1721C23—22no—
1722C23—22no—
1723C23—22no—
1724C23—22no—
1725C23—22no—
1726C23—21no—
1727C23—24no—
1728C23—24no—
1729C23—21no—
1730C23—48no—
1731C23—48no—
1732C23—84no—
1733C23—84no—
1734C23—84no—
1735C23—84no—
1736C23—84no—
1737C23C23×D412yes—
1738C23C22×#4112yes—
1739C23C22×#4114yes—
1740C23C2611yescharacteristic
1741Q8—216no—
1742Q8—48no—
1743Q8—44no—
1744Q8—48no—
1745Q8—44no—
1746Q8—88no—
1747D4—28no—
1748D4—48no—
1749D4—48no—
1750D4—44no—
1751D4—44no—
1752D4—416no—
1753D4—416no—
1754D4—48no—
1755D4—44no—
1756D4—48no—
1757D4—44no—
1758D4—48no—
1759D4—48no—
1760D4—44no—
1761D4—88no—
1762D4—84no—
1763D4—88no—
1764D4—88no—
1765D4—88no—
1766D4—84no—
1767D4—84no—
1768D4—84no—
1769D4—88no—
1770D4—88no—
1771D4—84no—
1772D4—88no—
1773D4—164no—
1774D4—164no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—24no—
1778C2×C4—22no—
1779C2×C4—21no—
1780C2×C4—24no—
1781C2×C4—21no—
1782C2×C4—21no—
1783C2×C4—21no—
1784C2×C4—22no—
1785C2×C4—21no—
1786C2×C4—21no—
1787C2×C4—24no—
1788C2×C4—24no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—28no—
1792C2×C4—28no—
1793C2×C4—28no—
1794C2×C4—21no—
1795C2×C4—22no—
1796C2×C4—22no—
1797C2×C4—22no—
1798C2×C4—21no—
1799C2×C4—21no—
1800C2×C4—22no—
1801C2×C4—21no—
1802C2×C4—21no—
1803C2×C4—24no—
1804C2×C4—22no—
1805C2×C4—22no—
1806C2×C4—22no—
1807C2×C4—22no—
1808C2×C4—21no—
1809C2×C4—22no—
1810C2×C4—22no—
1811C2×C4—22no—
1812C2×C4—22no—
1813C2×C4—22no—
1814C2×C4—22no—
1815C2×C4—22no—
1816C2×C4—22no—
1817C2×C4—21no—
1818C2×C4—21no—
1819C2×C4—22no—
1820C2×C4—22no—
1821C2×C4—22no—
1822C2×C4—22no—
1823C2×C4—22no—
1824C2×C4—22no—
1825C2×C4—22no—
1826C2×C4—22no—
1827C2×C4—22no—
1828C2×C4—22no—
1829C2×C4—21no—
1830C2×C4—21no—
1831C2×C4—21no—
1832C2×C4—22no—
1833C2×C4—22no—
1834C2×C4—22no—
1835C2×C4—22no—
1836C2×C4—22no—
1837C2×C4—22no—
1838C2×C4—22no—
1839C2×C4—22no—
1840C2×C4—21no—
1841C2×C4—21no—
1842C2×C4—22no—
1843C2×C4—22no—
1844C2×C4—24no—
1845C2×C4—24no—
1846C2×C4—21no—
1847C2×C4—21no—
1848C2×C4—44no—
1849C2×C4—416no—
1850C2×C4—416no—
1851C2×C4—48no—
1852C2×C4—48no—
1853C2×C4—44no—
1854C2×C4—48no—
1855C2×C4—44no—
1856C2×C4—48no—
1857C2×C4—48no—
1858C2×C4—44no—
1859C2×C4—44no—
1860C2×C4—44no—
1861C2×C4—48no—
1862C2×C4—48no—
1863C2×C4—84no—
1864C2×C4—88no—
1865C2×C4—88no—
1866C2×C4—88no—
1867C2×C4—88no—
1868C2×C4C23×D412yes—
1869C2×C4C23×D412yes—
1870C2×C4C23×D412yes—
1871C2×C4C23×D418yes—
1872C2×C4C23×D418yes—
1873C2×C4C23×D412yes—
1874C2×C4C23×D412yes—
1875C2×C4C23×D412yes—
1876C2×C4C22×#4114yes—
1877C2×C4C22×#4112yes—
1878C2×C4C22×#4112yes—
1879C2×C4#58512yes—
1880C2×C4#58512yes—
1881C2×C4#58512yes—
1882C22—22no—
1883C22—24no—
1884C22—22no—
1885C22—24no—
1886C22—22no—
1887C22—22no—
1888C22—22no—
1889C22—22no—
1890C22—24no—
1891C22—41no—
1892C22—41no—
1893C22—42no—
1894C22—41no—
1895C22—41no—
1896C22—42no—
1897C22—41no—
1898C22—42no—
1899C22—41no—
1900C22—41no—
1901C22—42no—
1902C22—41no—
1903C22—42no—
1904C22—41no—
1905C22—44no—
1906C22—42no—
1907C22—41no—
1908C22—44no—
1909C22—42no—
1910C22—42no—
1911C22—42no—
1912C22—42no—
1913C22—41no—
1914C22—44no—
1915C22—41no—
1916C22—44no—
1917C22—42no—
1918C22—42no—
1919C22—41no—
1920C22—42no—
1921C22—42no—
1922C22—44no—
1923C22—42no—
1924C22—44no—
1925C22—42no—
1926C22—41no—
1927C22—44no—
1928C22—42no—
1929C22—41no—
1930C22—42no—
1931C22—816no—
1932C22C24×D411yescharacteristic
1933C22C23×#4111yescharacteristic
1934C22C2×#58511yescharacteristic
1935C22C2×#58511yescharacteristic
1936C22C2×#58511yescharacteristic
1937C22H(7,𝔽2)11yescharacteristic
1938C22H(7,𝔽2)11yescharacteristic
1939C4—24no—
1940C4—22no—
1941C4—22no—
1942C4—22no—
1943C4—28no—
1944C4—22no—
1945C4—22no—
1946C4—28no—
1947C4—42no—
1948C4—42no—
1949C4—42no—
1950C4—41no—
1951C4—41no—
1952C4—42no—
1953C4—42no—
1954C4—42no—
1955C4—41no—
1956C4—41no—
1957C4—42no—
1958C4—44no—
1959C4—42no—
1960C4—42no—
1961C4—42no—
1962C4—42no—
1963C4—42no—
1964C4—41no—
1965C4D4×#4114yes—
1966C4#348714yes—
1967C2—42no—
1968C2—44no—
1969C2—42no—
1970C2—81no—
1971C2—82no—
1972C2—84no—
1973C2—82no—
1974C2C2×D4×#4111yescharacteristic
1975C2C2×#348711yescharacteristic
1976C2#6285211yescharacteristic
1977C2#6293711yescharacteristic
1978C2#6293811yescharacteristic
1979C2#6299211yescharacteristic
1980C2#6299411yescharacteristic
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×#3511C2semidirect
2. C2×#3475C2semidirect
3. #59824C2semidirect
4. #59680C2semidirect
5. #59657C2semidirect
6. #59586C2semidirect
7. #59136C2semidirect
8. #59135C2semidirect
9. #59065C2semidirect
10. #59057C2semidirect
11. #59056C2semidirect
12. #59051C2semidirect
13. #59049C2semidirect
14. #59034C2semidirect
15. #45239C2semidirect
16. #45236C2semidirect
17. #45018C2semidirect
18. #44886C2semidirect
19. #43120C2semidirect
20. #43115C2semidirect
21. #39886C2semidirect
22. #39862C2semidirect
23. #39858C2semidirect
24. #38379C2semidirect
25. #36438C2semidirect
26. #36235C2semidirect
27. #35572C2semidirect
28. #35525C2semidirect
29. #35237C2semidirect
30. #35195C2semidirect
31. #34977C2semidirect
32. #34909C2semidirect
33. #34295C2semidirect
34. #34231C2semidirect
35. C4×#535C2semidirect
39. C2×#556C22semidirect
43. C2×#554C22semidirect
46. C2×#553C22semidirect
52. C2×#548C22semidirect
57. C2×#542C22semidirect
61. C2×#533C22semidirect
63. C2×#532C22semidirect
64. C2×#532C22semidirect
65. C22×C4⋊Q8C22semidirect
69. C2×#520C22semidirect
75. #2852C22semidirect
76. #2850C22semidirect
79. #2733C22semidirect
80. #2731C22semidirect
81. #2730C22semidirect
82. #2729C22semidirect
83. #2723C22semidirect
84. #2723C22semidirect
85. #2721C22semidirect
87. #2714C22semidirect
88. #2714C22semidirect
94. #2696C22semidirect
95. #2690C22semidirect
99. #2673C22semidirect
103. #2636C22semidirect
105. #2631C22semidirect
106. #2610C22semidirect
107. #2610C22semidirect
108. #2609C22semidirect
109. #2603C22semidirect
110. #2601C22semidirect
113. #2599C22semidirect
114. #2598C22semidirect
115. #2598C22semidirect
116. #2598C22semidirect
117. #2581C22semidirect
118. #2580C22semidirect
119. #2567C22semidirect
122. #2563C22semidirect
123. #2560C22semidirect
124. #2560C22semidirect
126. #2554C22semidirect
127. #2550C22semidirect
129. #2548C22semidirect
130. #2544C22semidirect
135. #2541C22semidirect
136. #2541C22semidirect
137. #2541C22semidirect
139. #2540C22semidirect
140. #2540C22semidirect
141. #2536C22semidirect
142. #2536C22semidirect
145. #2535C22semidirect
146. #2535C22semidirect
147. #2512C22semidirect
150. #2492C22semidirect
152. #2491C22semidirect
153. #2490C22semidirect
154. #2490C22semidirect
155. #2490C22semidirect
156. #2489C22semidirect
157. #2489C22semidirect
160. #2481C22semidirect
161. #2477C22semidirect
166. #2471C22semidirect
168. #2469C22semidirect
169. #2467C22semidirect
170. #2467C22semidirect
171. #2463C22semidirect
173. #2461C22semidirect
174. #2458C22semidirect
175. #2456C22semidirect
176. #2456C22semidirect
177. #2456C22semidirect
178. #2454C22semidirect
181. #2448C22semidirect
182. #2445C22semidirect
183. #2443C22semidirect
184. #2442C22semidirect
185. #2442C22semidirect
186. #2441C22semidirect
187. #2440C22semidirect
188. #2439C22semidirect
189. #2439C22semidirect
190. #2436C22semidirect
195. #2431C22semidirect
198. #2428C22semidirect
199. #2428C22semidirect
200. #2427C22semidirect
201. #2427C22semidirect
203. #2426C22semidirect
206. #2421C22semidirect
207. #2421C22semidirect
209. #2417C22semidirect
211. #2416C22semidirect
212. #2416C22semidirect
213. #2416C22semidirect
214. #2415C22semidirect
217. #2414C22semidirect
218. #2414C22semidirect
219. #2414C22semidirect
220. #2414C22semidirect
221. #2409C22semidirect
225. #2407C22semidirect
226. #2407C22semidirect
231. #2369C22semidirect
232. #2369C22semidirect
234. #2366C22semidirect
235. #2365C22semidirect
236. #2365C22semidirect
237. #2363C22semidirect
238. #2363C22semidirect
239. #2363C22semidirect
240. #2363C22semidirect
244. #2361C22semidirect
245. #2361C22semidirect
246. #2361C22semidirect
247. #2356C22semidirect
248. #2354C22semidirect
249. #2352C22semidirect
250. #2352C22semidirect
251. #2352C22semidirect
252. #2352C22semidirect
253. #2351C22semidirect
254. D4×C4⋊C4C22semidirect
258. #2341C22semidirect
263. #2328C22semidirect
269. #2324C22semidirect
272. #2320C22semidirect
277. C4×#127C22semidirect
278. C4×#125C22semidirect
279. C4×#125C22semidirect
281. C4×#124C22semidirect
282. C4×C22⋊Q8C22semidirect
283. C4×C22⋊Q8C22semidirect
288. C4×#121C22semidirect
289. C4×#121C22semidirect
290. C4×#121C22semidirect
291. C4×#121C22semidirect
292. C4×#121C22semidirect
295. #2290C22semidirect
296. #2290C22semidirect
297. #2290C22semidirect
299. #2276C22semidirect
333. #533D4semidirect
1015. #121#41semidirect

Maximal subgroups

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

subgroupindex
C2×#35112
C2×#34752
#598242
#596802
#596572
#595862
#591362
#591352
#590652
#590572
#590562
#590512
#590492
#590342
#452392
#452362
#450182
#448862
#431202
#431152
#398862
#398622
#398582
#383792
#364382
#362352
#355722
#355252
#352372
#351952
#349772
#349092
#342952
#342312
C4×#5352