Finite Group Databasebeta

← #7691554

Subgroups — #7691554

Order 512.

7337 conjugacy classes of subgroups.

The subgroup lattice has 1979 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3506C211yesmaximal, characteristic, complemented
2C2×#3475C211yesmaximal, characteristic, complemented
3#59410C211yesmaximal, characteristic, complemented
4#59316C212yesmaximal, complemented
5#59175C214yesmaximal, complemented
6#59118C212yesmaximal, complemented
7#59065C211yesmaximal, characteristic, complemented
8#59034C211yesmaximal, characteristic, complemented
9#59020C212yesmaximal, complemented
10#59019C212yesmaximal, complemented
11#45135C212yesmaximal, complemented
12#44899C212yesmaximal, complemented
13#43537C214yesmaximal, complemented
14#43502C214yesmaximal, complemented
15#39957C212yesmaximal, complemented
16#39885C212yesmaximal, complemented
17#39489C211yesmaximal, characteristic, complemented
18#39470C211yesmaximal, characteristic, complemented
19#37733C214yesmaximal, complemented
20#37658C212yesmaximal, complemented
21#36517C212yesmaximal, complemented
22#36433C212yesmaximal, complemented
23#36411C211yesmaximal, characteristic, complemented
24#36187C211yesmaximal, characteristic, complemented
25#36160C211yesmaximal, characteristic, complemented
26#36160C211yesmaximal, characteristic, complemented
27#36144C212yesmaximal, complemented
28#36134C211yesmaximal, characteristic, complemented
29#36015C212yesmaximal, complemented
30#35758C212yesmaximal, complemented
31#34742C212yesmaximal, complemented
32#34681C211yesmaximal, characteristic, complemented
33#34316C211yesmaximal, characteristic, complemented
34#34201C212yesmaximal, complemented
35C4×#546C211yesmaximal, characteristic, complemented
36#3506—216no—
37C2×#559C2214yescomplemented
38#3475—216no—
39C2×#556C2211yescharacteristic, complemented
40C2×#556C2212yescomplemented
41C2×#555C2211yescharacteristic
42C2×#555C2211yescharacteristic
43C2×#555C2211yescharacteristic, complemented
44C2×#554C2211yescharacteristic, complemented
45C2×#553C2212yes—
46C2×#553C2212yescomplemented
47C2×#553C2212yescomplemented
48C2×#552C2212yescomplemented
49C2×#552C2212yescomplemented
50C2×#551C2214yescomplemented
51C2×#550C2212yes—
52C2×#547C2211yescharacteristic
53C2×#547C2211yescharacteristic, complemented
54C2×#546C2211yescharacteristic
55C2×#546C2212yescomplemented
56C2×#538C2214yescomplemented
57C2×#535C2212yescomplemented
58C2×#533C2211yescharacteristic, complemented
59C2×#533C2211yescharacteristic, complemented
60C2×#532C2211yescharacteristic
61C2×#529C2214yescomplemented
62C2×#529C2212yescomplemented
63C2×#525C2212yes—
64C2×#525C2212yes—
65C2×#525C2212yes—
66C2×#525C2212yescomplemented
67C2×#520C2212yescomplemented
68C2×C4×#41C2211yescharacteristic
69C2×C4×#41C2212yescomplemented
70C22×C4×D4C2211yescharacteristic, complemented
71C22×C4×D4C2211yescharacteristic, complemented
72C22×#117C2212yescomplemented
73#2868C2211yescharacteristic, complemented
74#2857C2211yescharacteristic, complemented
75#2857C2211yescharacteristic, complemented
76#2856C2212yescomplemented
77#2854C2212yescomplemented
78#2854C2214yescomplemented
79#2847C2212yes—
80#2847C2212yes—
81#2723C2214yescomplemented
82#2722C2214yescomplemented
83#2718C2214yescomplemented
84#2710C2214yescomplemented
85#2705C2214yescomplemented
86#2701C2214yescomplemented
87#2700C2214yescomplemented
88#2697C2214yescomplemented
89#2696C2214yescomplemented
90#2685C2214yescomplemented
91#2681C2214yescomplemented
92#2679C2214yes—
93#2678C2214yes—
94#2678C2214yes—
95#2674C2214yescomplemented
96#2674C2214yescomplemented
97#2673C2214yes—
98#2672C2214yes—
99#2671C2214yescomplemented
100#2669C2214yes—
101#2668C2214yescomplemented
102#2661C2214yescomplemented
103#2630C2214yes—
104#2620C2212yescomplemented
105#2616C2212yescomplemented
106#2602C2214yescomplemented
107#2602C2214yescomplemented
108#2567C2211yescharacteristic, complemented
109#2563C2211yescharacteristic, complemented
110#2563C2211yescharacteristic, complemented
111#2563C2211yescharacteristic, complemented
112#2558C2214yescomplemented
113#2554C2214yescomplemented
114#2554C2214yescomplemented
115#2553C2214yescomplemented
116#2552C2212yescomplemented
117#2550C2212yescomplemented
118#2542C2212yes—
119#2540C2212yescomplemented
120#2539C2214yescomplemented
121#2539C2214yescomplemented
122#2538C2212yes—
123#2538C2211yescharacteristic, complemented
124#2537C2211yescharacteristic
125#2537C2212yescomplemented
126#2537C2212yescomplemented
127#2536C2212yescomplemented
128#2534C2214yescomplemented
129#2521C2214yescomplemented
130#2519C2214yescomplemented
131#2512C2214yescomplemented
132#2501C2212yescomplemented
133#2500C2212yescomplemented
134#2500C2214yescomplemented
135#2500C2212yescomplemented
136#2499C2212yescomplemented
137#2491C2214yescomplemented
138#2491C2214yescomplemented
139#2490C2212yescomplemented
140#2490C2212yescomplemented
141#2489C2212yescomplemented
142#2486C2212yescomplemented
143#2485C2214yescomplemented
144#2485C2212yescomplemented
145#2485C2212yescomplemented
146#2485C2212yescomplemented
147#2479C2214yescomplemented
148#2479C2214yescomplemented
149#2474C2214yescomplemented
150#2472C2212yescomplemented
151#2472C2214yescomplemented
152#2472C2214yescomplemented
153#2471C2214yescomplemented
154#2471C2214yescomplemented
155#2469C2214yescomplemented
156#2469C2214yescomplemented
157#2467C2214yescomplemented
158#2466C2214yescomplemented
159#2466C2214yescomplemented
160#2464C2212yes—
161#2462C2214yescomplemented
162#2461C2214yescomplemented
163#2461C2214yescomplemented
164#2461C2212yescomplemented
165#2460C2214yescomplemented
166#2459C2214yescomplemented
167#2459C2214yescomplemented
168#2458C2214yescomplemented
169#2457C2214yescomplemented
170#2452C2211yescharacteristic, complemented
171#2448C2212yescomplemented
172#2445C2214yescomplemented
173#2445C2212yescomplemented
174#2445C2214yescomplemented
175#2445C2211yescharacteristic, complemented
176#2442C2212yescomplemented
177#2441C2212yescomplemented
178#2441C2212yescomplemented
179#2441C2212yescomplemented
180#2441C2212yescomplemented
181#2441C2212yescomplemented
182#2440C2211yescharacteristic, complemented
183#2433C2211yescharacteristic, complemented
184#2431C2212yescomplemented
185#2429C2212yescomplemented
186#2429C2212yescomplemented
187#2428C2211yescharacteristic
188#2426C2212yes—
189#2426C2212yescomplemented
190#2425C2214yescomplemented
191#2424C2212yes—
192#2424C2214yescomplemented
193#2423C2212yescomplemented
194#2423C2212yescomplemented
195#2423C2212yescomplemented
196#2422C2211yescharacteristic
197#2422C2212yescomplemented
198#2422C2212yescomplemented
199#2422C2212yescomplemented
200#2422C2214yescomplemented
201#2421C2212yescomplemented
202#2421C2212yescomplemented
203#2420C2212yes—
204#2420C2212yescomplemented
205#2420C2212yescomplemented
206#2420C2214yescomplemented
207#2419C2214yescomplemented
208#2419C2214yescomplemented
209#2418C2214yescomplemented
210#2418C2214yescomplemented
211#2417C2212yescomplemented
212#2416C2211yescharacteristic
213#2415C2212yescomplemented
214#2415C2212yescomplemented
215#2414C2212yes—
216#2414C2212yes—
217#2414C2212yes—
218#2414C2212yescomplemented
219#2414C2212yescomplemented
220#2408C2211yescharacteristic
221#2408C2212yescomplemented
222#2408C2212yescomplemented
223#2407C2212yes—
224#2407C2212yescomplemented
225#2395C2214yescomplemented
226#2395C2214yescomplemented
227#2392C2212yescomplemented
228#2388C2212yes—
229#2374C2214yescomplemented
230#2367C2211yescharacteristic, complemented
231#2365C2211yescharacteristic, complemented
232#2365C2212yescomplemented
233#2364C2212yes—
234#2364C2214yescomplemented
235#2363C2211yescharacteristic
236#2363C2214yes—
237#2363C2212yescomplemented
238#2363C2212yescomplemented
239#2363C2214yescomplemented
240#2363C2212yescomplemented
241#2362C2212yescomplemented
242#2362C2214yescomplemented
243#2362C2214yescomplemented
244#2362C2212yescomplemented
245#2360C2211yescharacteristic, complemented
246#2359C2212yescomplemented
247#2358C2212yes—
248#2354C2212yes—
249#2354C2211yescharacteristic, complemented
250#2354C2211yescharacteristic, complemented
251#2354C2212yescomplemented
252#2354C2212yescomplemented
253#2354C2212yescomplemented
254#2354C2212yescomplemented
255#2352C2211yescharacteristic
256#2352C2212yescomplemented
257#2352C2212yescomplemented
258#2352C2212yescomplemented
259#2352C2212yescomplemented
260#2351C2212yescomplemented
261Q8×C4⋊C4C2212yescomplemented
262#2349C2211yescharacteristic, complemented
263#2345C2212yescomplemented
264#2342C2212yescomplemented
265#2341C2212yescomplemented
266#2341C2212yescomplemented
267#2341C2212yescomplemented
268#2339C2211yescharacteristic
269D4×C22⋊C4C2211yescharacteristic, complemented
270#2335C2214yescomplemented
271#2324C2212yescomplemented
272#2321C2214yes—
273#2321C2214yescomplemented
274#2317C2212yescomplemented
275#2311C2212yescomplemented
276C4×C4⋊Q8C2211yescharacteristic, complemented
277C4×#127C2211yescharacteristic, complemented
278C4×#124C2211yescharacteristic, complemented
279C4×C22⋊Q8C2212yescomplemented
280C4×C22⋊Q8C2211yescharacteristic, complemented
281C4×#123C2214yescomplemented
282C4×#123C2214yescomplemented
283C4×#123C2212yescomplemented
284C4×#123C2214yescomplemented
285C4×#121C2212yes—
286C4×#121C2211yescharacteristic
287C4×#121C2211yescharacteristic
288C4×#121C2211yescharacteristic, complemented
289C4×#120C2212yes—
290C4×#120C2212yescomplemented
291#2297C2212yescomplemented
292#2296C2212yescomplemented
293#2293C2211yescharacteristic, complemented
294#2285C2212yescomplemented
295#2280C2212yescomplemented
296#2280C2212yescomplemented
297#2274C2212yescomplemented
298C42×D4C2211yescharacteristic
299C42×D4C2211yescharacteristic, complemented
300C2×C4×C22⋊C4C2212yescomplemented
301C22×#41C2312yes—
302C22×#41C2311yescharacteristic
303C22×#41C2312yes—
304C22×#41C2312yes—
305C23×D4C2311yescharacteristic
306C23×D4C2311yescharacteristic
307C24×C4C2312yes—
308C24×C4C2312yes—
309#559—232no—
310#556—28no—
311#556—216no—
312#555—28no—
313#555—28no—
314#555—28no—
315#554—28no—
316#553—216no—
317#553—216no—
318#553—216no—
319#552—216no—
320#552—216no—
321#551—232no—
322#550—216no—
323#547—28no—
324#547D4116yescomplemented
325#546—216no—
326#546—28no—
327#538—232no—
328#535—216no—
329#533—28no—
330#533—28no—
331#532—28no—
332C2×C4⋊Q8C2311yescharacteristic
333C2×C4⋊Q8C2311yescharacteristic
334C2×C4⋊Q8C2311yescharacteristic
335C2×C4⋊Q8C2312yes—
336C2×C4⋊Q8C2312yes—
337C2×C4⋊Q8C2311yescharacteristic
338C2×#127C2314yes—
339C2×#127C2311yescharacteristic
340C2×#127C2311yescharacteristic
341#529—232no—
342#529—216no—
343C2×#126C2314yes—
344C2×#126C2314yes—
345C2×#126C2314yes—
346C2×#126C2314yes—
347C2×#126C2314yes—
348C2×#125C2312yes—
349C2×#125C2314yes—
350C2×#125C2312yes—
351C2×#125C2312yes—
352C2×#124C2311yescharacteristic
353C2×#124C2312yes—
354C2×#124C2314yes—
355C2×#124C2314yes—
356C2×#124C2314yes—
357C2×#124C2312yes—
358C2×#124C2314yes—
359#525—216no—
360#525—216no—
361#525—216no—
362#525—216no—
363C2×#123C2314yes—
364C2×#123C2312yes—
365C2×#123C2314yes—
366C2×#123C2312yes—
367C2×#123C2314yes—
368C2×#123C2312yes—
369C2×#123C2314yes—
370C2×#123C2314yes—
371C2×#123C2314yes—
372C2×#123C2314yes—
373C2×#123C2314yes—
374C2×#123C2314yes—
375C2×#123C2314yes—
376C2×#123C2314yes—
377C2×C22⋊Q8C2311yescharacteristic
378C2×C22⋊Q8C2312yes—
379C2×C22⋊Q8C2312yes—
380C2×C22⋊Q8C2312yes—
381C2×C22⋊Q8C2312yes—
382C2×C22⋊Q8C2312yes—
383C2×C22⋊Q8C2312yes—
384C2×C22⋊Q8C2312yes—
385C2×C22⋊Q8C2314yes—
386C2×C22⋊Q8C2312yes—
387C2×C22⋊Q8C2312yes—
388C2×C22⋊Q8C2312yes—
389C2×C22⋊Q8C2312yes—
390C2×C22⋊Q8C2312yes—
391C2×C22⋊Q8C2312yes—
392C2×#121C2311yescharacteristic
393C2×#121C2312yes—
394C2×#121C2312yes—
395C2×#121C2312yes—
396C2×#121C2314yes—
397C2×#121C2312yes—
398C2×#121C2312yes—
399C2×#121C2312yes—
400C2×#121C2312yes—
401C2×#121C2311yescharacteristic
402C2×#121C2312yes—
403C2×#121C2312yes—
404C2×#121C2311yescharacteristic
405C2×#121C2314yes—
406C2×#121C2312yes—
407C2×#121C2314yes—
408C2×#121C2312yes—
409C2×#121C2311yescharacteristic
410C2×#121C2312yes—
411C2×#121C2312yes—
412C2×#121C2314yes—
413C2×#121C2311yescharacteristic
414C2×#121C2314yes—
415C2×#121C2312yes—
416C2×#120C2312yes—
417C2×#120C2312yes—
418C2×#120C2312yes—
419C2×#120C2314yes—
420C2×#120C2314yes—
421C2×#120C2314yes—
422C2×#120C2312yes—
423C2×#120C2314yes—
424C2×#120C2314yes—
425#520—216no—
426C4×#41—216no—
427C4×#41—28no—
428C2×C4×Q8C2311yescharacteristic
429C2×C4×Q8C2312yes—
430C2×C4×Q8C2312yes—
431C2×C4×Q8C2312yes—
432C2×C4×Q8C2311yescharacteristic
433C2×C4×Q8C2314yes—
434C2×C4×Q8C2312yes—
435C2×C4×Q8C2312yes—
436C2×C4×Q8C2312yes—
437C2×C4×Q8C2312yes—
438C2×C4×D4—28no—
439C2×C4×D4—28no—
440C2×C4×D4C2311yescharacteristic
441C2×C4×D4C2311yescharacteristic
442C2×C4×D4C2312yes—
443C2×C4×D4C2311yescharacteristic
444C2×C4×D4C2314yes—
445C2×C4×D4C2314yes—
446C2×C4×D4C2311yescharacteristic
447C2×C4×D4C2311yescharacteristic
448C2×C4×D4C2311yescharacteristic
449C2×C4×D4C2314yes—
450C2×C4×D4C2312yes—
451C2×C4×D4C2312yes—
452C2×C4×D4C2312yes—
453C2×C4×D4C2312yes—
454C2×C4×D4C2311yescharacteristic
455C2×C4×D4C2314yes—
456C2×C4×D4C2311yescharacteristic
457C2×C4×D4C2314yes—
458C2×C4×D4C2314yes—
459C2×C4×D4C2312yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2311yescharacteristic
462C2×C4×D4C2312yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2314yes—
466C2×C4×D4C2314yes—
467C2×C4×D4C2312yes—
468C2×C4×D4C2312yes—
469C2×C4×D4C2311yescharacteristic
470C2×C4×D4C2312yes—
471C2×C4×D4C2311yescharacteristic
472C2×C4×D4C2311yescharacteristic
473C2×C4×D4C2311yescharacteristic
474C2×C4×D4C2311yescharacteristic
475C2×C4×D4C2311yescharacteristic
476C2×#117—216no—
477C2×#117C2312yes—
478C2×#117C2312yes—
479C2×#117C2312yes—
480C2×#117C2311yescharacteristic
481C2×#117C2312yes—
482C2×#117C2312yes—
483C2×#117C2312yes—
484C2×#117C2312yes—
485C2×#117C2312yes—
486C2×#117C2312yes—
487C2×#117C2314yes—
488C2×#117C2314yes—
489C2×#117C2314yes—
490C2×#117C2312yes—
491C2×#117C2312yes—
492C2×#117C2312yes—
493C2×#117C2312yes—
494C22×C4⋊C4C2312yes—
495C22×C4⋊C4C2311yescharacteristic
496C22×C4⋊C4C2311yescharacteristic
497C22×C4⋊C4C2312yes—
498C22×C4⋊C4C2312yes—
499C22×C22⋊C4C2314yes—
500C22×C22⋊C4C2312yes—
501C22×C22⋊C4C2312yes—
502C22×C22⋊C4C2312yes—
503C22×C22⋊C4C2312yes—
504C22×C42C2314yes—
505C22×C42C2312yes—
506C22×C42C2311yescharacteristic
507C22×C42C2311yescharacteristic
508C22×C42C2312yes—
509#400C2314yes—
510#400C2314yes—
511#399C2314yes—
512#399C2314yes—
513#399C2314yes—
514#399C2314yes—
515#399C2314yes—
516#399C2314yes—
517#398C2314yes—
518#398C2312yes—
519#398C2314yes—
520#398C2314yes—
521#398C2314yes—
522#398C2314yes—
523#397C2314yes—
524#397C2314yes—
525#397C2314yes—
526#397C2312yes—
527#397C2314yes—
528#397C2314yes—
529#397C2314yes—
530#397C2314yes—
531#397C2314yes—
532#397C2314yes—
533#397C2314yes—
534#396C2314yes—
535#396C2314yes—
536#396C2314yes—
537#396C2314yes—
538#396C2312yes—
539#396C2312yes—
540#396C2314yes—
541#396C2314yes—
542#396C2314yes—
543#395C2314yes—
544#395C2314yes—
545#395C2312yes—
546#394C2312yes—
547#394C2314yes—
548#394C2314yes—
549#394C2314yes—
550#394C2314yes—
551#394C2314yes—
552#394C2314yes—
553#394C2314yes—
554#394C2312yes—
555#394C2312yes—
556#394C2312yes—
557#394C2312yes—
558#394C2312yes—
559#394C2314yes—
560#394C2314yes—
561#394C2314yes—
562#394C2314yes—
563#394C2314yes—
564#394C2314yes—
565#394C2314yes—
566#394C2314yes—
567#394C2314yes—
568#394C2314yes—
569#394C2314yes—
570#394C2314yes—
571#394C2314yes—
572#394C2314yes—
573#393C2314yes—
574#393C2314yes—
575#393C2314yes—
576#393C2312yes—
577#392C2312yes—
578#392C2314yes—
579#392C2312yes—
580#392C2312yes—
581#392C2312yes—
582#392C2314yes—
583#392C2314yes—
584#392C2314yes—
585#392C2314yes—
586#392C2314yes—
587#391C2312yes—
588#391C2314yes—
589#391C2312yes—
590#391C2311yescharacteristic
591#391C2311yescharacteristic
592#391C2312yes—
593#391C2312yes—
594#391C2312yes—
595#390C2311yescharacteristic
596#390C2311yescharacteristic
597#390C2312yes—
598#390C2312yes—
599#390C2312yes—
600#390C2312yes—
601#390C2312yes—
602#390C2314yes—
603#390C2314yes—
604#390C2314yes—
605#390C2314yes—
606#390C2314yes—
607#390C2314yes—
608#390C2312yes—
609#390C2314yes—
610#390C2311yescharacteristic
611#390C2311yescharacteristic
612#390C2311yescharacteristic
613#390C2311yescharacteristic
614#390C2314yes—
615#390C2314yes—
616#390C2312yes—
617#390C2312yes—
618#390C2314yes—
619#390C2314yes—
620#390C2314yes—
621#390C2314yes—
622#390C2312yes—
623#390C2314yes—
624#390C2314yes—
625#390C2311yescharacteristic
626#390C2311yescharacteristic
627#389C2312yes—
628#389C2312yes—
629#389C2312yes—
630#389C2312yes—
631#389C2314yes—
632#389C2314yes—
633#389C2312yes—
634#389C2312yes—
635#389C2314yes—
636#389C2314yes—
637#389C2312yes—
638#389C2312yes—
639#389C2312yes—
640#389C2312yes—
641#389C2314yes—
642#389C2311yescharacteristic
643#389C2311yescharacteristic
644#389C2314yes—
645#389C2311yescharacteristic
646#389C2314yes—
647#389C2311yescharacteristic
648#389C2314yes—
649#389C2312yes—
650#389C2311yescharacteristic
651#389C2311yescharacteristic
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2312yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2312yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2312yes—
666#388C2312yes—
667#388C2312yes—
668#388C2312yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2314yes—
681#388C2314yes—
682#388C2312yes—
683#388C2312yes—
684#388C2314yes—
685#388C2314yes—
686#388C2312yes—
687#388C2314yes—
688#388C2314yes—
689#388C2312yes—
690#388C2312yes—
691#387C2314yes—
692#387C2314yes—
693#387C2314yes—
694#387C2314yes—
695#387C2314yes—
696#387C2312yes—
697#387C2314yes—
698#387C2314yes—
699#387C2314yes—
700#387C2314yes—
701#387C2312yes—
702#387C2312yes—
703#387C2314yes—
704#387C2314yes—
705#387C2314yes—
706#387C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2312yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2314yes—
715#386C2314yes—
716#386C2314yes—
717#386C2314yes—
718#386C2314yes—
719#386C2312yes—
720#386C2312yes—
721#386C2312yes—
722#386C2312yes—
723#386C2312yes—
724#386C2314yes—
725#386C2314yes—
726#386C2312yes—
727#386C2312yes—
728#386C2314yes—
729#386C2312yes—
730#386C2312yes—
731#386C2312yes—
732#386C2312yes—
733#385C2314yes—
734#385C2314yes—
735#385C2314yes—
736#385C2312yes—
737#385C2312yes—
738#385C2312yes—
739#385C2314yes—
740#385C2312yes—
741#385C2312yes—
742#385C2314yes—
743#385C2314yes—
744#385C2312yes—
745#385C2312yes—
746#385C2312yes—
747#384C2311yescharacteristic
748#384C2311yescharacteristic
749#384C2312yes—
750#384C2312yes—
751#384C2312yes—
752#384C2312yes—
753#384C2314yes—
754#384C2312yes—
755#382C2312yes—
756#382C2312yes—
757#382C2312yes—
758#382C2311yescharacteristic
759#382C2314yes—
760#381C2312yes—
761#381C2314yes—
762#381C2314yes—
763#381C2314yes—
764#380C2312yes—
765#380C2312yes—
766#380C2312yes—
767#380C2312yes—
768#380C2312yes—
769#380C2312yes—
770#380C2311yescharacteristic
771#380C2312yes—
772#380C2312yes—
773#380C2312yes—
774#380C2314yes—
775#380C2312yes—
776#380C2312yes—
777#380C2312yes—
778#380C2311yescharacteristic
779#380C2312yes—
780#380C2314yes—
781#380C2314yes—
782#380C2312yes—
783#380C2312yes—
784#380C2312yes—
785#380C2311yescharacteristic
786#380C2311yescharacteristic
787#380C2314yes—
788#380C2314yes—
789#379C2314yes—
790#379C2312yes—
791#379C2312yes—
792#379C2314yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2314yes—
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2311yescharacteristic
801C4×C4⋊C4C2311yescharacteristic
802C4×C4⋊C4C2314yes—
803C4×C4⋊C4C2314yes—
804C4×C4⋊C4C2312yes—
805C4×C4⋊C4C2311yescharacteristic
806C4×C4⋊C4C2312yes—
807C4×C4⋊C4C2312yes—
808C4×C4⋊C4C2314yes—
809C4×C4⋊C4C2314yes—
810C4×C4⋊C4C2314yes—
811C4×C4⋊C4C2311yescharacteristic
812C4×C4⋊C4C2314yes—
813C4×C4⋊C4C2314yes—
814C4×C22⋊C4C2314yes—
815C4×C22⋊C4C2314yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2311yescharacteristic
818C4×C22⋊C4C2311yescharacteristic
819C4×C22⋊C4C2314yes—
820C4×C22⋊C4C2314yes—
821C4×C22⋊C4C2312yes—
822C4×C22⋊C4C2312yes—
823C4×C22⋊C4C2312yes—
824C4×C22⋊C4C2311yescharacteristic
825C4×C22⋊C4C2312yes—
826C4×C22⋊C4C2314yes—
827C4×C22⋊C4C2312yes—
828C4×C22⋊C4C2314yes—
829C4×C22⋊C4C2314yes—
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2312yes—
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2314yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2314yes—
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2314yes—
838C4×C22⋊C4C2311yescharacteristic
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2311yescharacteristic
842C4×C22⋊C4C2312yes—
843C4×C22⋊C4C2311yescharacteristic
844C2×#95C2312yes—
845C2×#95C2312yes—
846C43C2311yescharacteristic
847C25C2412yes—
848C25C2412yes—
849C2×#41—28no—
850C2×#41—24no—
851C2×#41—28no—
852C2×#41—28no—
853C2×#41—24no—
854C2×#41—44no—
855C2×#41—44no—
856C2×#41—44no—
857C2×#41—42no—
858C2×#41—44no—
859C2×#41—44no—
860C2×#41C2×D4116yes—
861C22×Q8C2411yescharacteristic
862C22×Q8C2412yes—
863C22×Q8C2412yes—
864C22×Q8C2412yes—
865C22×Q8C2412yes—
866C22×D4—24no—
867C22×D4—24no—
868C22×D4—24no—
869C22×D4—42no—
870C22×D4—42no—
871C22×D4—42no—
872C22×D4C2411yescharacteristic
873C22×D4C2411yescharacteristic
874C22×D4C2411yescharacteristic
875C22×D4C2412yes—
876C22×D4C2412yes—
877C22×D4C2412yes—
878C22×D4C2412yes—
879C22×D4C2412yes—
880C22×D4C2411yescharacteristic
881C22×D4C2411yescharacteristic
882C22×D4C2412yes—
883C22×D4C2412yes—
884C22×D4C2412yes—
885C22×D4C2414yes—
886C22×D4C2414yes—
887C22×D4C2412yes—
888C22×D4C2412yes—
889C22×D4C2414yes—
890C22×D4C2412yes—
891C22×D4C2412yes—
892C22×D4C2414yes—
893C22×D4C2414yes—
894C22×D4C2414yes—
895C22×D4C2411yescharacteristic
896C23×C4—28no—
897C23×C4—28no—
898C23×C4—28no—
899C23×C4—44no—
900C23×C4—44no—
901C23×C4—44no—
902C23×C4C2412yes—
903C23×C4C2411yescharacteristic
904C23×C4C2412yes—
905C23×C4C2412yes—
906C23×C4C2411yescharacteristic
907C23×C4C2412yes—
908C23×C4C2412yes—
909C23×C4C2412yes—
910C23×C4C2412yes—
911C23×C4C2412yes—
912C23×C4C2412yes—
913C23×C4C2411yescharacteristic
914C23×C4C2411yescharacteristic
915C23×C4C2411yescharacteristic
916C23×C4C2411yescharacteristic
917C23×C4C2412yes—
918C23×C4C2414yes—
919C23×C4C2412yes—
920C23×C4C2412yes—
921C23×C4C2412yes—
922C23×C4C2414yes—
923C23×C4C2412yes—
924C23×C4C2412yes—
925C23×C4C2414yes—
926C4⋊Q8—24no—
927C4⋊Q8—24no—
928C4⋊Q8—24no—
929C4⋊Q8—44no—
930C4⋊Q8—82no—
931C4⋊Q8C2×D418yes—
932#127—24no—
933#127—216no—
934#127—42no—
935#126—216no—
936#126—216no—
937#126—216no—
938#126—216no—
939#126—216no—
940#125—216no—
941#125—28no—
942#125—28no—
943#125—28no—
944#124—28no—
945#124—216no—
946#124—28no—
947#124—216no—
948#124—216no—
949#124—216no—
950#124—24no—
951#123—216no—
952#123—216no—
953#123—216no—
954#123—216no—
955#123—28no—
956#123—28no—
957#123—216no—
958#123—216no—
959#123—28no—
960#123—48no—
961#123—84no—
962#123—84no—
963#123—84no—
964#123C2×D4132yes—
965C22⋊Q8—28no—
966C22⋊Q8—28no—
967C22⋊Q8—28no—
968C22⋊Q8—28no—
969C22⋊Q8—24no—
970C22⋊Q8—28no—
971C22⋊Q8—28no—
972C22⋊Q8—28no—
973C22⋊Q8—28no—
974C22⋊Q8—216no—
975C22⋊Q8—28no—
976C22⋊Q8—44no—
977C22⋊Q8—82no—
978C22⋊Q8—82no—
979C22⋊Q8C2×D4116yes—
980#121—24no—
981#121—28no—
982#121—28no—
983#121—216no—
984#121—28no—
985#121—216no—
986#121—28no—
987#121—28no—
988#121—28no—
989#121—28no—
990#121—216no—
991#121—24no—
992#121—24no—
993#121—28no—
994#121—28no—
995#121—28no—
996#121—28no—
997#121—42no—
998#121—44no—
999#121—44no—
1000#121—42no—
1001#121—48no—
1002#121—84no—
1003#121C2×D4116yes—
1004#120—216no—
1005#120—216no—
1006#120—28no—
1007#120—28no—
1008#120—216no—
1009#120—28no—
1010#120—44no—
1011#120—84no—
1012#120—84no—
1013C4×Q8—28no—
1014C4×Q8—28no—
1015C4×Q8—28no—
1016C4×Q8—24no—
1017C4×Q8—216no—
1018C4×Q8—28no—
1019C4×Q8—28no—
1020C4×Q8—24no—
1021C4×Q8—44no—
1022C4×Q8—44no—
1023C4×D4—24no—
1024C4×D4—24no—
1025C4×D4—216no—
1026C4×D4—28no—
1027C4×D4—216no—
1028C4×D4—24no—
1029C4×D4—28no—
1030C4×D4—28no—
1031C4×D4—28no—
1032C4×D4—216no—
1033C4×D4—216no—
1034C4×D4—216no—
1035C4×D4—28no—
1036C4×D4—28no—
1037C4×D4—28no—
1038C4×D4—24no—
1039C4×D4—24no—
1040C4×D4—216no—
1041C4×D4—28no—
1042C4×D4—28no—
1043C4×D4—28no—
1044C4×D4—216no—
1045C4×D4—216no—
1046C4×D4—24no—
1047C4×D4—24no—
1048C4×D4—24no—
1049C4×D4—28no—
1050C4×D4—24no—
1051C4×D4—42no—
1052C4×D4—42no—
1053C4×D4—44no—
1054C4×D4—44no—
1055C4×D4—42no—
1056C4×D4C2×D418yes—
1057C4×D4C2×D418yes—
1058C4×D4#4118yescomplemented
1059#117—216no—
1060#117—28no—
1061#117—28no—
1062#117—28no—
1063#117—24no—
1064#117—28no—
1065#117—216no—
1066#117—216no—
1067#117—28no—
1068#117—28no—
1069#117—28no—
1070#117—28no—
1071#117—28no—
1072#117—28no—
1073#117—28no—
1074#117—44no—
1075#117—44no—
1076C2×C4⋊C4—28no—
1077C2×C4⋊C4—24no—
1078C2×C4⋊C4—24no—
1079C2×C4⋊C4—28no—
1080C2×C4⋊C4C2×D4116yes—
1081C2×C4⋊C4C2411yescharacteristic
1082C2×C4⋊C4C2411yescharacteristic
1083C2×C4⋊C4C2411yescharacteristic
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2414yes—
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2414yes—
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2411yescharacteristic
1091C2×C4⋊C4C2411yescharacteristic
1092C2×C4⋊C4C2412yes—
1093C2×C4⋊C4C2411yescharacteristic
1094C2×C4⋊C4C2412yes—
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2414yes—
1097C2×C4⋊C4C2414yes—
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2414yes—
1104C2×C4⋊C4C2411yescharacteristic
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2414yes—
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2411yescharacteristic
1111C2×C4⋊C4C2414yes—
1112C2×C4⋊C4C2414yes—
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2414yes—
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2411yescharacteristic
1117C2×C4⋊C4C2411yescharacteristic
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2414yes—
1120C2×C4⋊C4C2414yes—
1121C2×C4⋊C4C2414yes—
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2414yes—
1124C2×C4⋊C4C2414yes—
1125C2×C4⋊C4C2414yes—
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2414yes—
1128C2×C4⋊C4C2414yes—
1129C2×C4⋊C4C2414yes—
1130C2×C4⋊C4C2414yes—
1131C2×C4⋊C4C2411yescharacteristic
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2411yescharacteristic
1134C2×C4⋊C4C2414yes—
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2411yescharacteristic
1137C2×C22⋊C4—216no—
1138C2×C22⋊C4—28no—
1139C2×C22⋊C4—28no—
1140C2×C22⋊C4—28no—
1141C2×C22⋊C4—44no—
1142C2×C22⋊C4C2412yes—
1143C2×C22⋊C4C2411yescharacteristic
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2414yes—
1158C2×C22⋊C4C2414yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2414yes—
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2411yescharacteristic
1170C2×C22⋊C4C2414yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
1187C2×C22⋊C4C2411yescharacteristic
1188C2×C22⋊C4C2411yescharacteristic
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2414yes—
1194C2×C22⋊C4C2414yes—
1195C2×C22⋊C4C2414yes—
1196C2×C22⋊C4C2414yes—
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2414yes—
1201C2×C22⋊C4C2414yes—
1202C2×C22⋊C4C2414yes—
1203C2×C22⋊C4C2414yes—
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2414yes—
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2414yes—
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2412yes—
1210C2×C22⋊C4C2412yes—
1211C2×C22⋊C4C2414yes—
1212C2×C22⋊C4C2414yes—
1213C2×C22⋊C4C2412yes—
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2414yes—
1216C2×C22⋊C4C2411yescharacteristic
1217C2×C22⋊C4C2411yescharacteristic
1218C2×C42—216no—
1219C2×C42—28no—
1220C2×C42—24no—
1221C2×C42—24no—
1222C2×C42—44no—
1223C2×C42C2414yes—
1224C2×C42C2412yes—
1225C2×C42C2414yes—
1226C2×C42C2411yescharacteristic
1227C2×C42C2414yes—
1228C2×C42C2414yes—
1229C2×C42C2412yes—
1230C2×C42C2414yes—
1231C2×C42C2412yes—
1232C2×C42C2414yes—
1233C2×C42C2411yescharacteristic
1234C2×C42C2411yescharacteristic
1235C2×C42C2411yescharacteristic
1236C2×C42C2411yescharacteristic
1237C2×C42C2412yes—
1238C2×C42C2411yescharacteristic
1239C2×C42C2411yescharacteristic
1240C2×C42C2411yescharacteristic
1241C2×C42C2412yes—
1242C2×C42C2411yescharacteristic
1243C2×C42C2411yescharacteristic
1244C2×C42C2414yes—
1245C2×C42C2414yes—
1246C2×C42C2414yes—
1247C2×C42C2414yes—
1248C2×C42C2411yescharacteristic
1249C2×C42C2412yes—
1250C2×C42C2412yes—
1251C2×C42C2411yescharacteristic
1252C2×C42C2411yescharacteristic
1253#95C2411yescharacteristic
1254#95C2411yescharacteristic
1255#95C2412yes—
1256#95C2412yes—
1257#95C2412yes—
1258#95C2412yes—
1259#95C2412yes—
1260#95C2412yes—
1261#95C2412yes—
1262#95C2414yes—
1263#95C2412yes—
1264#95C2412yes—
1265#95C2412yes—
1266#95C2412yes—
1267#95C2411yescharacteristic
1268#95C2411yescharacteristic
1269#95C2412yes—
1270#95C2411yescharacteristic
1271#95C2414yes—
1272#95C2411yescharacteristic
1273#95C2414yes—
1274#95C2414yes—
1275#95C2414yes—
1276#95C2412yes—
1277#95C2414yes—
1278#95C2414yes—
1279#95C2412yes—
1280#95C2414yes—
1281#95C2414yes—
1282#95C2414yes—
1283#95C2412yes—
1284#95C2412yes—
1285#95C2412yes—
1286#95C2414yes—
1287#95C2412yes—
1288#95C2414yes—
1289#95C2414yes—
1290#95C2414yes—
1291#95C2414yes—
1292#95C2414yes—
1293#95C2414yes—
1294#95C2412yes—
1295#95C2414yes—
1296#95C2412yes—
1297#95C2414yes—
1298#95C2414yes—
1299C24—24no—
1300C24—24no—
1301C24—24no—
1302C24—24no—
1303C24—42no—
1304C24—42no—
1305C24—42no—
1306C24—42no—
1307C24—42no—
1308C24—42no—
1309C24—42no—
1310C24—42no—
1311C24—42no—
1312C24—42no—
1313C24C2512yes—
1314C24C2512yes—
1315C24C2512yes—
1316C24C2512yes—
1317C24C2512yes—
1318C24C2511yescharacteristic
1319C24C2511yescharacteristic
1320#41—432no—
1321#41—432no—
1322#41—416no—
1323#41—816no—
1324C2×Q8—22no—
1325C2×Q8—24no—
1326C2×Q8—24no—
1327C2×Q8—24no—
1328C2×Q8—24no—
1329C2×Q8—22no—
1330C2×Q8—24no—
1331C2×Q8—24no—
1332C2×Q8—22no—
1333C2×Q8—42no—
1334C2×Q8—42no—
1335C2×Q8—42no—
1336C2×Q8—42no—
1337C2×Q8—42no—
1338C2×Q8C22×D418yes—
1339C2×D4—24no—
1340C2×D4—24no—
1341C2×D4—24no—
1342C2×D4—24no—
1343C2×D4—24no—
1344C2×D4—24no—
1345C2×D4—24no—
1346C2×D4—24no—
1347C2×D4—28no—
1348C2×D4—28no—
1349C2×D4—28no—
1350C2×D4—24no—
1351C2×D4—24no—
1352C2×D4—24no—
1353C2×D4—24no—
1354C2×D4—24no—
1355C2×D4—22no—
1356C2×D4—22no—
1357C2×D4—22no—
1358C2×D4—28no—
1359C2×D4—22no—
1360C2×D4—24no—
1361C2×D4—24no—
1362C2×D4—22no—
1363C2×D4—24no—
1364C2×D4—22no—
1365C2×D4—22no—
1366C2×D4—22no—
1367C2×D4—22no—
1368C2×D4—22no—
1369C2×D4—22no—
1370C2×D4—22no—
1371C2×D4—22no—
1372C2×D4—24no—
1373C2×D4—416no—
1374C2×D4—41no—
1375C2×D4—41no—
1376C2×D4—42no—
1377C2×D4—42no—
1378C2×D4—42no—
1379C2×D4—42no—
1380C2×D4—44no—
1381C2×D4—44no—
1382C2×D4—42no—
1383C2×D4—42no—
1384C2×D4—42no—
1385C2×D4—42no—
1386C2×D4—42no—
1387C2×D4—42no—
1388C2×D4—42no—
1389C2×D4—42no—
1390C2×D4—42no—
1391C2×D4—44no—
1392C2×D4—44no—
1393C2×D4—42no—
1394C2×D4—42no—
1395C2×D4—44no—
1396C2×D4—44no—
1397C2×D4—42no—
1398C2×D4—44no—
1399C2×D4—44no—
1400C2×D4—42no—
1401C2×D4—42no—
1402C2×D4—42no—
1403C2×D4—44no—
1404C2×D4—44no—
1405C2×D4—44no—
1406C2×D4—44no—
1407C2×D4—44no—
1408C2×D4—416no—
1409C2×D4C22×D414yes—
1410C2×D4C22×D414yes—
1411C2×D4C22×D4116yes—
1412C2×D4C2×#4114yes—
1413C22×C4—22no—
1414C22×C4—22no—
1415C22×C4—24no—
1416C22×C4—24no—
1417C22×C4—24no—
1418C22×C4—24no—
1419C22×C4—22no—
1420C22×C4—22no—
1421C22×C4—24no—
1422C22×C4—24no—
1423C22×C4—24no—
1424C22×C4—28no—
1425C22×C4—24no—
1426C22×C4—24no—
1427C22×C4—22no—
1428C22×C4—22no—
1429C22×C4—24no—
1430C22×C4—24no—
1431C22×C4—24no—
1432C22×C4—24no—
1433C22×C4—24no—
1434C22×C4—24no—
1435C22×C4—24no—
1436C22×C4—24no—
1437C22×C4—24no—
1438C22×C4—24no—
1439C22×C4—22no—
1440C22×C4—24no—
1441C22×C4—22no—
1442C22×C4—24no—
1443C22×C4—22no—
1444C22×C4—24no—
1445C22×C4—22no—
1446C22×C4—24no—
1447C22×C4—22no—
1448C22×C4—22no—
1449C22×C4—24no—
1450C22×C4—28no—
1451C22×C4—24no—
1452C22×C4—24no—
1453C22×C4—24no—
1454C22×C4—42no—
1455C22×C4—42no—
1456C22×C4—42no—
1457C22×C4—44no—
1458C22×C4—44no—
1459C22×C4—42no—
1460C22×C4—432no—
1461C22×C4—42no—
1462C22×C4—42no—
1463C22×C4—42no—
1464C22×C4—42no—
1465C22×C4—41no—
1466C22×C4—41no—
1467C22×C4—42no—
1468C22×C4—41no—
1469C22×C4—41no—
1470C22×C4—44no—
1471C22×C4—44no—
1472C22×C4—42no—
1473C22×C4—42no—
1474C22×C4—42no—
1475C22×C4—42no—
1476C22×C4—42no—
1477C22×C4—42no—
1478C22×C4—42no—
1479C22×C4—44no—
1480C22×C4—44no—
1481C22×C4—816no—
1482C22×C4C22×D418yes—
1483C22×C4C22×D418yes—
1484C22×C4C22×D4116yes—
1485C22×C4C2×#4114yes—
1486C22×C4C2×#4114yes—
1487C22×C4C2512yes—
1488C22×C4C2512yes—
1489C22×C4C2512yes—
1490C22×C4C2511yescharacteristic
1491C22×C4C2512yes—
1492C22×C4C2512yes—
1493C22×C4C2514yes—
1494C22×C4C2512yes—
1495C22×C4C2511yescharacteristic
1496C22×C4C2512yes—
1497C22×C4C2512yes—
1498C22×C4C2511yescharacteristic
1499C22×C4C2511yescharacteristic
1500C22×C4C2512yes—
1501C22×C4C2514yes—
1502C22×C4C2514yes—
1503C22×C4C2511yescharacteristic
1504C22×C4C2512yes—
1505C22×C4C2511yescharacteristic
1506C22×C4C2514yes—
1507C22×C4C2512yes—
1508C22×C4C2511yescharacteristic
1509C22×C4C2511yescharacteristic
1510C22×C4C2511yescharacteristic
1511C22×C4C2511yescharacteristic
1512C22×C4C2511yescharacteristic
1513C22×C4C2511yescharacteristic
1514C22×C4C2511yescharacteristic
1515C4⋊C4—22no—
1516C4⋊C4—22no—
1517C4⋊C4—22no—
1518C4⋊C4—24no—
1519C4⋊C4—28no—
1520C4⋊C4—24no—
1521C4⋊C4—24no—
1522C4⋊C4—28no—
1523C4⋊C4—24no—
1524C4⋊C4—22no—
1525C4⋊C4—24no—
1526C4⋊C4—24no—
1527C4⋊C4—24no—
1528C4⋊C4—28no—
1529C4⋊C4—28no—
1530C4⋊C4—24no—
1531C4⋊C4—28no—
1532C4⋊C4—24no—
1533C4⋊C4—28no—
1534C4⋊C4—28no—
1535C4⋊C4—28no—
1536C4⋊C4—24no—
1537C4⋊C4—24no—
1538C4⋊C4—22no—
1539C4⋊C4—24no—
1540C4⋊C4—24no—
1541C4⋊C4—24no—
1542C4⋊C4—24no—
1543C4⋊C4—22no—
1544C4⋊C4—22no—
1545C4⋊C4—24no—
1546C4⋊C4—24no—
1547C4⋊C4—22no—
1548C4⋊C4—28no—
1549C4⋊C4—41no—
1550C4⋊C4—41no—
1551C4⋊C4—42no—
1552C4⋊C4—42no—
1553C4⋊C4—44no—
1554C4⋊C4—44no—
1555C4⋊C4—44no—
1556C4⋊C4—44no—
1557C4⋊C4—42no—
1558C4⋊C4—44no—
1559C4⋊C4—44no—
1560C4⋊C4—44no—
1561C4⋊C4—44no—
1562C4⋊C4—42no—
1563C4⋊C4—44no—
1564C4⋊C4—44no—
1565C4⋊C4C22×D414yes—
1566C4⋊C4C22×D418yes—
1567C4⋊C4C22×D414yes—
1568C4⋊C4C22×D4116yes—
1569C4⋊C4C22×D418yes—
1570C4⋊C4C2×#4114yes—
1571C22⋊C4—24no—
1572C22⋊C4—24no—
1573C22⋊C4—28no—
1574C22⋊C4—28no—
1575C22⋊C4—24no—
1576C22⋊C4—28no—
1577C22⋊C4—28no—
1578C22⋊C4—24no—
1579C22⋊C4—24no—
1580C22⋊C4—24no—
1581C22⋊C4—24no—
1582C22⋊C4—24no—
1583C22⋊C4—28no—
1584C22⋊C4—28no—
1585C22⋊C4—28no—
1586C22⋊C4—24no—
1587C22⋊C4—24no—
1588C22⋊C4—24no—
1589C22⋊C4—24no—
1590C22⋊C4—28no—
1591C22⋊C4—28no—
1592C22⋊C4—28no—
1593C22⋊C4—24no—
1594C22⋊C4—28no—
1595C22⋊C4—28no—
1596C22⋊C4—24no—
1597C22⋊C4—24no—
1598C22⋊C4—24no—
1599C22⋊C4—24no—
1600C22⋊C4—24no—
1601C22⋊C4—24no—
1602C22⋊C4—24no—
1603C22⋊C4—24no—
1604C22⋊C4—24no—
1605C22⋊C4—24no—
1606C22⋊C4—24no—
1607C22⋊C4—22no—
1608C22⋊C4—24no—
1609C22⋊C4—22no—
1610C22⋊C4—24no—
1611C22⋊C4—42no—
1612C22⋊C4—42no—
1613C22⋊C4—44no—
1614C22⋊C4—44no—
1615C22⋊C4—42no—
1616C22⋊C4—42no—
1617C22⋊C4—42no—
1618C22⋊C4—42no—
1619C22⋊C4—42no—
1620C22⋊C4—41no—
1621C22⋊C4—41no—
1622C22⋊C4—42no—
1623C22⋊C4—44no—
1624C22⋊C4—44no—
1625C22⋊C4—44no—
1626C22⋊C4—44no—
1627C22⋊C4—44no—
1628C22⋊C4—44no—
1629C22⋊C4—42no—
1630C22⋊C4—44no—
1631C22⋊C4—42no—
1632C22⋊C4—44no—
1633C22⋊C4—44no—
1634C22⋊C4—44no—
1635C22⋊C4—44no—
1636C22⋊C4—44no—
1637C22⋊C4—44no—
1638C22⋊C4—42no—
1639C22⋊C4—42no—
1640C22⋊C4—42no—
1641C22⋊C4—44no—
1642C22⋊C4C22×D418yes—
1643C22⋊C4C22×D418yes—
1644C22⋊C4C22×D4116yes—
1645C22⋊C4C2×#4114yes—
1646C22⋊C4C2×#4114yes—
1647C42—24no—
1648C42—22no—
1649C42—28no—
1650C42—28no—
1651C42—22no—
1652C42—28no—
1653C42—24no—
1654C42—22no—
1655C42—22no—
1656C42—22no—
1657C42—24no—
1658C42—22no—
1659C42—28no—
1660C42—28no—
1661C42—28no—
1662C42—24no—
1663C42—22no—
1664C42—24no—
1665C42—22no—
1666C42—22no—
1667C42—22no—
1668C42—42no—
1669C42—42no—
1670C42—44no—
1671C42—44no—
1672C42—44no—
1673C42—44no—
1674C42—41no—
1675C42C22×D414yes—
1676C42C2×#4114yes—
1677C23—21no—
1678C23—21no—
1679C23—22no—
1680C23—22no—
1681C23—21no—
1682C23—22no—
1683C23—21no—
1684C23—22no—
1685C23—22no—
1686C23—21no—
1687C23—21no—
1688C23—21no—
1689C23—22no—
1690C23—22no—
1691C23—21no—
1692C23—21no—
1693C23—22no—
1694C23—21no—
1695C23—22no—
1696C23—22no—
1697C23—21no—
1698C23—21no—
1699C23—22no—
1700C23—22no—
1701C23—22no—
1702C23—22no—
1703C23—22no—
1704C23—22no—
1705C23—22no—
1706C23—22no—
1707C23—22no—
1708C23—22no—
1709C23—22no—
1710C23—22no—
1711C23—22no—
1712C23—22no—
1713C23—22no—
1714C23—22no—
1715C23—22no—
1716C23—22no—
1717C23—22no—
1718C23—22no—
1719C23—22no—
1720C23—22no—
1721C23—22no—
1722C23—48no—
1723C23—48no—
1724C23—48no—
1725C23—48no—
1726C23—84no—
1727C23—84no—
1728C23—84no—
1729C23—84no—
1730C23—84no—
1731C23—84no—
1732C23—84no—
1733C23—84no—
1734C23—84no—
1735C23—84no—
1736C23C23×D414yes—
1737C23C23×D414yes—
1738C23C22×#4112yes—
1739C23C22×#4112yes—
1740C23C2611yescharacteristic
1741Q8—216no—
1742Q8—48no—
1743Q8—44no—
1744Q8—84no—
1745Q8—84no—
1746D4—28no—
1747D4—28no—
1748D4—416no—
1749D4—44no—
1750D4—48no—
1751D4—48no—
1752D4—48no—
1753D4—48no—
1754D4—48no—
1755D4—48no—
1756D4—44no—
1757D4—44no—
1758D4—44no—
1759D4—84no—
1760D4—84no—
1761D4—88no—
1762D4—84no—
1763D4—84no—
1764D4—84no—
1765D4—88no—
1766D4—88no—
1767D4—88no—
1768D4—84no—
1769D4—164no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—22no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—22no—
1780C2×C4—22no—
1781C2×C4—22no—
1782C2×C4—24no—
1783C2×C4—24no—
1784C2×C4—21no—
1785C2×C4—21no—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—28no—
1789C2×C4—216no—
1790C2×C4—28no—
1791C2×C4—216no—
1792C2×C4—22no—
1793C2×C4—21no—
1794C2×C4—22no—
1795C2×C4—24no—
1796C2×C4—22no—
1797C2×C4—21no—
1798C2×C4—24no—
1799C2×C4—22no—
1800C2×C4—21no—
1801C2×C4—22no—
1802C2×C4—21no—
1803C2×C4—22no—
1804C2×C4—22no—
1805C2×C4—22no—
1806C2×C4—22no—
1807C2×C4—22no—
1808C2×C4—22no—
1809C2×C4—22no—
1810C2×C4—22no—
1811C2×C4—21no—
1812C2×C4—21no—
1813C2×C4—22no—
1814C2×C4—22no—
1815C2×C4—24no—
1816C2×C4—22no—
1817C2×C4—24no—
1818C2×C4—22no—
1819C2×C4—21no—
1820C2×C4—21no—
1821C2×C4—22no—
1822C2×C4—22no—
1823C2×C4—22no—
1824C2×C4—21no—
1825C2×C4—24no—
1826C2×C4—21no—
1827C2×C4—22no—
1828C2×C4—21no—
1829C2×C4—22no—
1830C2×C4—24no—
1831C2×C4—22no—
1832C2×C4—22no—
1833C2×C4—21no—
1834C2×C4—21no—
1835C2×C4—22no—
1836C2×C4—22no—
1837C2×C4—24no—
1838C2×C4—22no—
1839C2×C4—24no—
1840C2×C4—21no—
1841C2×C4—24no—
1842C2×C4—21no—
1843C2×C4—416no—
1844C2×C4—48no—
1845C2×C4—48no—
1846C2×C4—48no—
1847C2×C4—48no—
1848C2×C4—48no—
1849C2×C4—48no—
1850C2×C4—44no—
1851C2×C4—48no—
1852C2×C4—44no—
1853C2×C4—84no—
1854C2×C4—82no—
1855C2×C4—82no—
1856C2×C4—84no—
1857C2×C4—84no—
1858C2×C4—84no—
1859C2×C4—88no—
1860C2×C4—84no—
1861C2×C4—88no—
1862C2×C4—84no—
1863C2×C4C23×D414yes—
1864C2×C4C23×D418yes—
1865C2×C4C23×D412yes—
1866C2×C4C23×D414yes—
1867C2×C4C23×D412yes—
1868C2×C4C23×D412yes—
1869C2×C4C22×#4112yes—
1870C2×C4C22×#4112yes—
1871C2×C4C22×#4112yes—
1872C2×C4C22×#4112yes—
1873C2×C4C22×#4112yes—
1874C2×C4#58512yes—
1875C2×C4#58512yes—
1876C2×C4#58512yes—
1877C2×C4#58512yes—
1878C22—22no—
1879C22—22no—
1880C22—24no—
1881C22—24no—
1882C22—24no—
1883C22—24no—
1884C22—22no—
1885C22—22no—
1886C22—22no—
1887C22—24no—
1888C22—22no—
1889C22—24no—
1890C22—42no—
1891C22—42no—
1892C22—41no—
1893C22—41no—
1894C22—42no—
1895C22—42no—
1896C22—41no—
1897C22—41no—
1898C22—41no—
1899C22—41no—
1900C22—42no—
1901C22—42no—
1902C22—42no—
1903C22—42no—
1904C22—41no—
1905C22—41no—
1906C22—42no—
1907C22—42no—
1908C22—42no—
1909C22—42no—
1910C22—42no—
1911C22—42no—
1912C22—42no—
1913C22—42no—
1914C22—42no—
1915C22—42no—
1916C22—42no—
1917C22—42no—
1918C22—42no—
1919C22—42no—
1920C22—42no—
1921C22—42no—
1922C22—42no—
1923C22—42no—
1924C22—42no—
1925C22—42no—
1926C22—42no—
1927C22—816no—
1928C22—816no—
1929C22C24×D411yescharacteristic
1930C22C23×#4111yescharacteristic
1931C22C2×#58511yescharacteristic
1932C22C2×#58511yescharacteristic
1933C22C2×#58511yescharacteristic
1934C22C2×#58511yescharacteristic
1935C22H(7,𝔽2)11yescharacteristic
1936C4—22no—
1937C4—22no—
1938C4—22no—
1939C4—24no—
1940C4—28no—
1941C4—22no—
1942C4—22no—
1943C4—24no—
1944C4—22no—
1945C4—42no—
1946C4—42no—
1947C4—41no—
1948C4—42no—
1949C4—41no—
1950C4—44no—
1951C4—44no—
1952C4—42no—
1953C4—41no—
1954C4—42no—
1955C4—41no—
1956C4—42no—
1957C4—41no—
1958C4—44no—
1959C4—42no—
1960C4—42no—
1961C4—42no—
1962C4D4×#4114yes—
1963C4#348514yes—
1964C2—44no—
1965C2—44no—
1966C2—42no—
1967C2—42no—
1968C2—82no—
1969C2—82no—
1970C2—82no—
1971C2C2×D4×#4111yescharacteristic
1972C2C2×#348511yescharacteristic
1973C2#6281511yescharacteristic
1974C2#6293711yescharacteristic
1975C2#6299411yescharacteristic
1976C2#6300311yescharacteristic
1977C2#6302811yescharacteristic
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×#3475C2semidirect
3. #59410C2semidirect
4. #59316C2semidirect
5. #59175C2semidirect
6. #59118C2semidirect
7. #59065C2semidirect
8. #59034C2semidirect
9. #59020C2semidirect
10. #59019C2semidirect
11. #45135C2semidirect
12. #44899C2semidirect
13. #43537C2semidirect
14. #43502C2semidirect
15. #39957C2semidirect
16. #39885C2semidirect
17. #39489C2semidirect
18. #39470C2semidirect
19. #37733C2semidirect
20. #37658C2semidirect
21. #36517C2semidirect
22. #36433C2semidirect
23. #36411C2semidirect
24. #36187C2semidirect
25. #36160C2semidirect
26. #36160C2semidirect
27. #36144C2semidirect
28. #36134C2semidirect
29. #36015C2semidirect
30. #35758C2semidirect
31. #34742C2semidirect
32. #34681C2semidirect
33. #34316C2semidirect
34. #34201C2semidirect
35. C4×#546C2semidirect
37. C2×#559C22semidirect
39. C2×#556C22semidirect
40. C2×#556C22semidirect
43. C2×#555C22semidirect
44. C2×#554C22semidirect
46. C2×#553C22semidirect
47. C2×#553C22semidirect
48. C2×#552C22semidirect
49. C2×#552C22semidirect
50. C2×#551C22semidirect
53. C2×#547C22semidirect
55. C2×#546C22semidirect
56. C2×#538C22semidirect
57. C2×#535C22semidirect
58. C2×#533C22semidirect
59. C2×#533C22semidirect
61. C2×#529C22semidirect
62. C2×#529C22semidirect
66. C2×#525C22semidirect
67. C2×#520C22semidirect
69. C2×C4×#41C22semidirect
70. C22×C4×D4C22semidirect
71. C22×C4×D4C22semidirect
72. C22×#117C22semidirect
73. #2868C22semidirect
74. #2857C22semidirect
75. #2857C22semidirect
76. #2856C22semidirect
77. #2854C22semidirect
78. #2854C22semidirect
81. #2723C22semidirect
82. #2722C22semidirect
83. #2718C22semidirect
84. #2710C22semidirect
85. #2705C22semidirect
86. #2701C22semidirect
87. #2700C22semidirect
88. #2697C22semidirect
89. #2696C22semidirect
90. #2685C22semidirect
91. #2681C22semidirect
95. #2674C22semidirect
96. #2674C22semidirect
99. #2671C22semidirect
101. #2668C22semidirect
102. #2661C22semidirect
104. #2620C22semidirect
105. #2616C22semidirect
106. #2602C22semidirect
107. #2602C22semidirect
108. #2567C22semidirect
109. #2563C22semidirect
110. #2563C22semidirect
111. #2563C22semidirect
112. #2558C22semidirect
113. #2554C22semidirect
114. #2554C22semidirect
115. #2553C22semidirect
116. #2552C22semidirect
117. #2550C22semidirect
119. #2540C22semidirect
120. #2539C22semidirect
121. #2539C22semidirect
123. #2538C22semidirect
125. #2537C22semidirect
126. #2537C22semidirect
127. #2536C22semidirect
128. #2534C22semidirect
129. #2521C22semidirect
130. #2519C22semidirect
131. #2512C22semidirect
132. #2501C22semidirect
133. #2500C22semidirect
134. #2500C22semidirect
135. #2500C22semidirect
136. #2499C22semidirect
137. #2491C22semidirect
138. #2491C22semidirect
139. #2490C22semidirect
140. #2490C22semidirect
141. #2489C22semidirect
142. #2486C22semidirect
143. #2485C22semidirect
144. #2485C22semidirect
145. #2485C22semidirect
146. #2485C22semidirect
147. #2479C22semidirect
148. #2479C22semidirect
149. #2474C22semidirect
150. #2472C22semidirect
151. #2472C22semidirect
152. #2472C22semidirect
153. #2471C22semidirect
154. #2471C22semidirect
155. #2469C22semidirect
156. #2469C22semidirect
157. #2467C22semidirect
158. #2466C22semidirect
159. #2466C22semidirect
161. #2462C22semidirect
162. #2461C22semidirect
163. #2461C22semidirect
164. #2461C22semidirect
165. #2460C22semidirect
166. #2459C22semidirect
167. #2459C22semidirect
168. #2458C22semidirect
169. #2457C22semidirect
170. #2452C22semidirect
171. #2448C22semidirect
172. #2445C22semidirect
173. #2445C22semidirect
174. #2445C22semidirect
175. #2445C22semidirect
176. #2442C22semidirect
177. #2441C22semidirect
178. #2441C22semidirect
179. #2441C22semidirect
180. #2441C22semidirect
181. #2441C22semidirect
182. #2440C22semidirect
183. #2433C22semidirect
184. #2431C22semidirect
185. #2429C22semidirect
186. #2429C22semidirect
189. #2426C22semidirect
190. #2425C22semidirect
192. #2424C22semidirect
193. #2423C22semidirect
194. #2423C22semidirect
195. #2423C22semidirect
197. #2422C22semidirect
198. #2422C22semidirect
199. #2422C22semidirect
200. #2422C22semidirect
201. #2421C22semidirect
202. #2421C22semidirect
204. #2420C22semidirect
205. #2420C22semidirect
206. #2420C22semidirect
207. #2419C22semidirect
208. #2419C22semidirect
209. #2418C22semidirect
210. #2418C22semidirect
211. #2417C22semidirect
213. #2415C22semidirect
214. #2415C22semidirect
218. #2414C22semidirect
219. #2414C22semidirect
221. #2408C22semidirect
222. #2408C22semidirect
224. #2407C22semidirect
225. #2395C22semidirect
226. #2395C22semidirect
227. #2392C22semidirect
229. #2374C22semidirect
230. #2367C22semidirect
231. #2365C22semidirect
232. #2365C22semidirect
234. #2364C22semidirect
237. #2363C22semidirect
238. #2363C22semidirect
239. #2363C22semidirect
240. #2363C22semidirect
241. #2362C22semidirect
242. #2362C22semidirect
243. #2362C22semidirect
244. #2362C22semidirect
245. #2360C22semidirect
246. #2359C22semidirect
249. #2354C22semidirect
250. #2354C22semidirect
251. #2354C22semidirect
252. #2354C22semidirect
253. #2354C22semidirect
254. #2354C22semidirect
256. #2352C22semidirect
257. #2352C22semidirect
258. #2352C22semidirect
259. #2352C22semidirect
260. #2351C22semidirect
261. Q8×C4⋊C4C22semidirect
262. #2349C22semidirect
263. #2345C22semidirect
264. #2342C22semidirect
265. #2341C22semidirect
266. #2341C22semidirect
267. #2341C22semidirect
269. D4×C22⋊C4C22semidirect
270. #2335C22semidirect
271. #2324C22semidirect
273. #2321C22semidirect
274. #2317C22semidirect
275. #2311C22semidirect
276. C4×C4⋊Q8C22semidirect
277. C4×#127C22semidirect
278. C4×#124C22semidirect
279. C4×C22⋊Q8C22semidirect
280. C4×C22⋊Q8C22semidirect
281. C4×#123C22semidirect
282. C4×#123C22semidirect
283. C4×#123C22semidirect
284. C4×#123C22semidirect
288. C4×#121C22semidirect
290. C4×#120C22semidirect
291. #2297C22semidirect
292. #2296C22semidirect
293. #2293C22semidirect
294. #2285C22semidirect
295. #2280C22semidirect
296. #2280C22semidirect
297. #2274C22semidirect
299. C42×D4C22semidirect
300. C2×C4×C22⋊C4C22semidirect
324. #547D4semidirect
1058. C4×D4#41semidirect

Maximal subgroups

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

subgroupindex
C2×#35062
C2×#34752
#594102
#593162
#591752
#591182
#590652
#590342
#590202
#590192
#451352
#448992
#435372
#435022
#399572
#398852
#394892
#394702
#377332
#376582
#365172
#364332
#364112
#361872
#361602
#361442
#361342
#360152
#357582
#347422
#346812
#343162
#342012
C4×#5462