Finite Group Databasebeta

← #7689404

Subgroups — #7689404

Order 512.

7360 conjugacy classes of subgroups.

The subgroup lattice has 1936 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3507C211yesmaximal, characteristic, complemented
2C2×#3481C211yesmaximal, characteristic, complemented
3#59660C211yesmaximal, characteristic, complemented
4#59658C212yesmaximal, complemented
5#59120C212yesmaximal, complemented
6#59082C212yesmaximal, complemented
7#59057C211yesmaximal, characteristic, complemented
8#59053C212yesmaximal, complemented
9#59052C211yesmaximal, characteristic, complemented
10#59017C214yesmaximal, complemented
11#45093C212yesmaximal, complemented
12#45023C212yesmaximal, complemented
13#43545C214yesmaximal, complemented
14#43040C214yesmaximal, complemented
15#39953C212yesmaximal, complemented
16#39881C212yesmaximal, complemented
17#39342C211yesmaximal, characteristic, complemented
18#38957C211yesmaximal, characteristic, complemented
19#37801C214yesmaximal, complemented
20#37787C212yesmaximal, complemented
21#36597C211yesmaximal, characteristic, complemented
22#36580C211yesmaximal, characteristic, complemented
23#36504C211yesmaximal, characteristic, complemented
24#36441C212yesmaximal, complemented
25#36405C211yesmaximal, characteristic, complemented
26#36162C212yesmaximal, complemented
27#36150C211yesmaximal, characteristic, complemented
28#36115C212yesmaximal, complemented
29#36015C212yesmaximal, complemented
30#35752C212yesmaximal, complemented
31#34715C211yesmaximal, characteristic, complemented
32#34700C212yesmaximal, complemented
33#34317C211yesmaximal, characteristic, complemented
34#34265C212yesmaximal, complemented
35C4×#548C211yesmaximal, characteristic, complemented
36#3507—216no—
37#3481—216no—
38C2×#559C2212yes—
39C2×#559C2211yescharacteristic
40C2×#557C2212yescomplemented
41C2×#556C2211yescharacteristic
42C2×#556C2214yescomplemented
43C2×#556C2211yescharacteristic, complemented
44C2×#554C2211yescharacteristic
45C2×#554C2211yescharacteristic
46C2×#554C2211yescharacteristic, complemented
47C2×#553C2212yes—
48C2×#553C2212yes—
49C2×#552C2212yescomplemented
50C2×#552C2212yescomplemented
51C2×#551C2214yes—
52C2×#548C2211yescharacteristic
53C2×#546C2212yes—
54C2×#546C2212yes—
55C2×D42C2211yescharacteristic
56C2×#539C2214yescomplemented
57C2×#536C2212yescomplemented
58C2×#535C2212yes—
59C2×#533C2211yescharacteristic, complemented
60C2×#532C2211yescharacteristic
61C2×#532C2211yescharacteristic
62C2×#529C2212yes—
63C2×#529C2212yes—
64C2×#529C2212yes—
65C2×#529C2212yescomplemented
66C2×#525C2214yes—
67C2×#520C2212yescomplemented
68C2×C4×#41C2211yescharacteristic
69C2×C4×#41C2211yescharacteristic
70C22×C4×Q8C2211yescharacteristic, complemented
71C22×C4×D4C2212yes—
72C22×C4×D4C2212yes—
73#2858C2211yescharacteristic
74#2858C2212yescomplemented
75#2857C2211yescharacteristic, complemented
76#2856C2211yescharacteristic
77#2855C2212yescomplemented
78#2850C2212yescomplemented
79#2850C2212yescomplemented
80#2849C2214yescomplemented
81#2732C2214yescomplemented
82#2730C2214yescomplemented
83#2728C2214yescomplemented
84#2718C2214yescomplemented
85#2716C2214yescomplemented
86#2711C2214yescomplemented
87#2710C2214yescomplemented
88#2707C2214yescomplemented
89#2706C2214yescomplemented
90#2706C2214yescomplemented
91#2705C2214yescomplemented
92#2685C2214yes—
93#2685C2214yes—
94#2685C2214yescomplemented
95#2678C2214yescomplemented
96#2678C2214yescomplemented
97#2674C2214yescomplemented
98#2673C2214yescomplemented
99#2670C2214yes—
100#2670C2214yescomplemented
101#2669C2214yes—
102#2661C2214yescomplemented
103#2635C2214yescomplemented
104#2620C2212yes—
105#2615C2212yes—
106#2602C2214yescomplemented
107#2600C2214yescomplemented
108#2592C2212yescomplemented
109#2582C2211yescharacteristic, complemented
110#2580C2212yescomplemented
111#2558C2214yescomplemented
112#2554C2214yescomplemented
113#2554C2214yescomplemented
114#2554C2214yescomplemented
115#2552C2212yescomplemented
116#2548C2211yescharacteristic
117#2546C2211yescharacteristic, complemented
118#2545C2212yescomplemented
119#2544C2212yescomplemented
120#2542C2211yescharacteristic
121#2542C2212yescomplemented
122#2541C2212yes—
123#2541C2211yescharacteristic
124#2540C2212yescomplemented
125#2540C2212yescomplemented
126#2540C2212yescomplemented
127#2537C2211yescharacteristic
128#2536C2212yescomplemented
129#2536C2214yescomplemented
130#2519C2214yescomplemented
131#2519C2214yescomplemented
132#2512C2214yescomplemented
133#2500C2212yes—
134#2500C2214yescomplemented
135#2491C2212yes—
136#2491C2214yescomplemented
137#2490C2212yescomplemented
138#2490C2212yescomplemented
139#2489C2212yescomplemented
140#2489C2212yescomplemented
141#2485C2212yescomplemented
142#2482C2214yescomplemented
143#2480C2214yescomplemented
144#2479C2214yescomplemented
145#2479C2214yescomplemented
146#2478C2214yescomplemented
147#2476C2212yescomplemented
148#2475C2214yescomplemented
149#2474C2212yescomplemented
150#2472C2214yescomplemented
151#2471C2214yescomplemented
152#2471C2214yescomplemented
153#2469C2214yescomplemented
154#2468C2214yescomplemented
155#2468C2214yescomplemented
156#2467C2214yescomplemented
157#2467C2214yescomplemented
158#2467C2214yescomplemented
159#2467C2214yescomplemented
160#2460C2214yescomplemented
161#2460C2214yescomplemented
162#2459C2214yescomplemented
163#2459C2212yescomplemented
164#2458C2214yescomplemented
165#2458C2214yescomplemented
166#2457C2214yescomplemented
167#2456C2212yescomplemented
168#2456C2214yescomplemented
169#2455C2214yescomplemented
170#2454C2212yes—
171#2454C2212yescomplemented
172#2454C2212yescomplemented
173#2451C2211yescharacteristic, complemented
174#2448C2212yescomplemented
175#2448C2212yescomplemented
176#2447C2212yes—
177#2445C2211yescharacteristic
178#2445C2214yescomplemented
179#2443C2214yescomplemented
180#2442C2212yescomplemented
181#2442C2212yescomplemented
182#2441C2212yescomplemented
183#2439C2211yescharacteristic, complemented
184#2439C2214yescomplemented
185#2436C2212yescomplemented
186#2435C2212yes—
187#2435C2212yes—
188#2435C2212yes—
189#2433C2212yes—
190#2432C2212yes—
191#2431C2211yescharacteristic
192#2429C2212yescomplemented
193#2428C2212yescomplemented
194#2427C2212yes—
195#2427C2212yescomplemented
196#2427C2212yescomplemented
197#2427C2212yescomplemented
198#2426C2212yes—
199#2426C2212yes—
200#2426C2212yescomplemented
201#2426C2211yescharacteristic, complemented
202#2426C2212yescomplemented
203#2426C2212yescomplemented
204#2426C2212yescomplemented
205#2423C2214yescomplemented
206#2423C2212yescomplemented
207#2420C2211yescharacteristic
208#2418C2214yescomplemented
209#2418C2214yescomplemented
210#2417C2212yescomplemented
211#2416C2212yescomplemented
212#2415C2212yescomplemented
213#2414C2212yes—
214#2414C2214yescomplemented
215#2414C2212yescomplemented
216#2414C2214yescomplemented
217#2414C2211yescharacteristic, complemented
218#2411C2214yescomplemented
219#2408C2212yes—
220#2408C2212yes—
221#2407C2212yes—
222#2407C2211yescharacteristic
223#2407C2212yescomplemented
224#2407C2214yescomplemented
225#2395C2214yescomplemented
226#2392C2214yescomplemented
227#2392C2212yescomplemented
228#2388C2212yescomplemented
229#2370C2212yescomplemented
230#2369C2211yescharacteristic, complemented
231#2367C2211yescharacteristic
232#2367C2214yescomplemented
233#2367C2212yescomplemented
234#2367C2212yescomplemented
235#2367C2212yescomplemented
236#2367C2214yescomplemented
237#2366C2212yescomplemented
238#2366C2214yescomplemented
239#2366C2214yescomplemented
240#2365C2212yescomplemented
241#2363C2212yes—
242#2363C2212yes—
243#2363C2212yescomplemented
244#2363C2212yescomplemented
245#2363C2212yescomplemented
246#2362C2212yescomplemented
247#2362C2214yescomplemented
248#2362C2212yescomplemented
249#2362C2212yescomplemented
250#2362C2211yescharacteristic, complemented
251#2361C2212yes—
252#2361C2211yescharacteristic
253#2361C2212yescomplemented
254#2361C2212yescomplemented
255#2361C2212yescomplemented
256#2361C2212yescomplemented
257#2360C2212yescomplemented
258#2357C2212yes—
259#2355C2211yescharacteristic, complemented
260#2354C2211yescharacteristic
261#2354C2214yescomplemented
262#2354C2212yescomplemented
263#2352C2212yescomplemented
264#2352C2211yescharacteristic, complemented
265#2351C2211yescharacteristic, complemented
266#2344C2212yescomplemented
267#2341C2211yescharacteristic
268#2341C2212yescomplemented
269Q8×C22⋊C4C2211yescharacteristic, complemented
270#2332C2214yescomplemented
271#2323C2212yescomplemented
272#2321C2214yescomplemented
273#2321C2214yescomplemented
274#2309C2212yes—
275C4×C4⋊Q8C2211yescharacteristic, complemented
276C4×#125C2212yescomplemented
277C4×#124C2211yescharacteristic
278C4×#124C2212yescomplemented
279C4×#124C2212yescomplemented
280C4×#124C2211yescharacteristic, complemented
281C4×C22⋊Q8C2211yescharacteristic, complemented
282C4×C22⋊Q8C2212yescomplemented
283C4×C22⋊Q8C2212yescomplemented
284C4×C22⋊Q8C2211yescharacteristic, complemented
285C4×#123C2212yescomplemented
286C4×#121C2211yescharacteristic
287C4×#121C2212yescomplemented
288C4×#121C2212yescomplemented
289C4×#121C2211yescharacteristic, complemented
290C4×#120C2214yescomplemented
291C4×#120C2214yescomplemented
292#2297C2212yescomplemented
293#2296C2212yescomplemented
294#2293C2212yes—
295#2293C2211yescharacteristic
296#2280C2214yescomplemented
297#2274C2212yescomplemented
298C42×Q8C2211yescharacteristic, complemented
299C42×D4C2212yescomplemented
300C42×D4C2211yescharacteristic, complemented
301C22×#41C2311yescharacteristic
302C22×#41C2312yes—
303C22×#41C2311yescharacteristic
304C22×#41C2312yes—
305C23×Q8C2311yescharacteristic
306C23×D4C2312yes—
307C23×D4C2312yes—
308C24×C4C2314yes—
309#559—28no—
310#559—216no—
311#557—216no—
312#556—232no—
313#556—28no—
314#556—28no—
315#554—28no—
316#554—28no—
317#554D4116yescomplemented
318#553—216no—
319#553—216no—
320#552—216no—
321#552—216no—
322#551—232no—
323#548—28no—
324#546—216no—
325#546—216no—
326D42—28no—
327#539—232no—
328#536—216no—
329#535—216no—
330#533—28no—
331#532—28no—
332#532—28no—
333C2×C4⋊Q8C2311yescharacteristic
334C2×C4⋊Q8C2314yes—
335C2×C4⋊Q8C2311yescharacteristic
336C2×C4⋊Q8C2312yes—
337C2×C4⋊Q8C2311yescharacteristic
338C2×#127C2311yescharacteristic
339C2×#127C2314yes—
340C2×#127C2311yescharacteristic
341C2×#127C2312yes—
342#529—216no—
343#529—216no—
344#529—216no—
345#529—216no—
346C2×#126C2314yes—
347C2×#126C2314yes—
348C2×#126C2314yes—
349C2×#126C2314yes—
350C2×#126C2314yes—
351C2×#126C2314yes—
352C2×#125C2312yes—
353C2×#125C2312yes—
354C2×#125C2312yes—
355C2×#125C2314yes—
356C2×#125C2314yes—
357C2×#125C2312yes—
358C2×#124C2312yes—
359C2×#124C2312yes—
360C2×#124C2311yescharacteristic
361C2×#124C2314yes—
362C2×#124C2312yes—
363C2×#124C2312yes—
364C2×#124C2314yes—
365C2×#124C2312yes—
366C2×#124C2312yes—
367C2×#124C2312yes—
368C2×#124C2312yes—
369C2×#124C2312yes—
370C2×#124C2311yescharacteristic
371C2×#124C2312yes—
372#525—232no—
373C2×#123C2314yes—
374C2×#123C2314yes—
375C2×#123C2314yes—
376C2×#123C2314yes—
377C2×#123C2314yes—
378C2×#123C2314yes—
379C2×#123C2314yes—
380C2×#123C2314yes—
381C2×#123C2312yes—
382C2×C22⋊Q8C2312yes—
383C2×C22⋊Q8C2311yescharacteristic
384C2×C22⋊Q8C2312yes—
385C2×C22⋊Q8C2312yes—
386C2×C22⋊Q8C2312yes—
387C2×C22⋊Q8C2314yes—
388C2×C22⋊Q8C2314yes—
389C2×C22⋊Q8C2312yes—
390C2×C22⋊Q8C2312yes—
391C2×C22⋊Q8C2312yes—
392C2×C22⋊Q8C2311yescharacteristic
393C2×C22⋊Q8C2312yes—
394C2×C22⋊Q8C2312yes—
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2312yes—
397C2×C22⋊Q8C2314yes—
398C2×#121C2312yes—
399C2×#121C2312yes—
400C2×#121C2312yes—
401C2×#121C2312yes—
402C2×#121C2312yes—
403C2×#121C2314yes—
404C2×#121C2311yescharacteristic
405C2×#121C2314yes—
406C2×#121C2312yes—
407C2×#121C2311yescharacteristic
408C2×#121C2312yes—
409C2×#121C2312yes—
410C2×#121C2312yes—
411C2×#121C2312yes—
412C2×#121C2312yes—
413C2×#121C2312yes—
414C2×#121C2311yescharacteristic
415C2×#121C2312yes—
416C2×#121C2314yes—
417C2×#121C2311yescharacteristic
418C2×#120C2314yes—
419C2×#120C2314yes—
420C2×#120C2314yes—
421C2×#120C2314yes—
422C2×#120C2314yes—
423#520—216no—
424C4×#41—28no—
425C4×#41—28no—
426C2×C4×Q8—28no—
427C2×C4×Q8C2312yes—
428C2×C4×Q8C2311yescharacteristic
429C2×C4×Q8C2311yescharacteristic
430C2×C4×Q8C2311yescharacteristic
431C2×C4×Q8C2311yescharacteristic
432C2×C4×Q8C2312yes—
433C2×C4×Q8C2311yescharacteristic
434C2×C4×Q8C2312yes—
435C2×C4×Q8C2312yes—
436C2×C4×Q8C2311yescharacteristic
437C2×C4×Q8C2312yes—
438C2×C4×Q8C2311yescharacteristic
439C2×C4×Q8C2314yes—
440C2×C4×Q8C2312yes—
441C2×C4×Q8C2311yescharacteristic
442C2×C4×Q8C2312yes—
443C2×C4×Q8C2311yescharacteristic
444C2×C4×D4—216no—
445C2×C4×D4—216no—
446C2×C4×D4C2314yes—
447C2×C4×D4C2314yes—
448C2×C4×D4C2312yes—
449C2×C4×D4C2314yes—
450C2×C4×D4C2311yescharacteristic
451C2×C4×D4C2312yes—
452C2×C4×D4C2311yescharacteristic
453C2×C4×D4C2312yes—
454C2×C4×D4C2312yes—
455C2×C4×D4C2312yes—
456C2×C4×D4C2312yes—
457C2×C4×D4C2312yes—
458C2×C4×D4C2314yes—
459C2×C4×D4C2314yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2314yes—
462C2×C4×D4C2312yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2311yescharacteristic
465C2×C4×D4C2314yes—
466C2×C4×D4C2312yes—
467C2×C4×D4C2311yescharacteristic
468C2×C4×D4C2312yes—
469C2×C4×D4C2311yescharacteristic
470C2×C4×D4C2314yes—
471C2×C4×D4C2312yes—
472C2×C4×D4C2312yes—
473C2×C4×D4C2311yescharacteristic
474C2×C4×D4C2311yescharacteristic
475C2×C4×D4C2312yes—
476C2×C4×D4C2314yes—
477C2×C4×D4C2314yes—
478C2×C4×D4C2311yescharacteristic
479C2×C4×D4C2312yes—
480C2×#117C2312yes—
481C2×#117C2311yescharacteristic
482C2×#117C2312yes—
483C2×#117C2312yes—
484C2×#117C2312yes—
485C2×#117C2314yes—
486C2×#117C2314yes—
487C2×#117C2311yescharacteristic
488C2×#117C2312yes—
489C2×#117C2314yes—
490C2×#117C2312yes—
491C2×#117C2312yes—
492C2×#117C2314yes—
493C22×C4⋊C4C2311yescharacteristic
494C22×C4⋊C4C2312yes—
495C22×C4⋊C4C2312yes—
496C22×C4⋊C4C2312yes—
497C22×C4⋊C4C2312yes—
498C22×C22⋊C4C2314yes—
499C22×C22⋊C4C2314yes—
500C22×C42C2312yes—
501C22×C42C2312yes—
502C22×C42C2312yes—
503C22×C42C2311yescharacteristic
504C22×C42C2311yescharacteristic
505#400C2314yes—
506#400C2314yes—
507#399C2314yes—
508#399C2314yes—
509#399C2314yes—
510#399C2314yes—
511#399C2314yes—
512#399C2314yes—
513#399C2314yes—
514#398C2314yes—
515#398C2314yes—
516#398C2312yes—
517#398C2314yes—
518#398C2314yes—
519#398C2314yes—
520#398C2314yes—
521#397C2314yes—
522#397C2314yes—
523#397C2314yes—
524#397C2312yes—
525#397C2314yes—
526#397C2314yes—
527#397C2314yes—
528#397C2314yes—
529#396C2314yes—
530#396C2314yes—
531#396C2314yes—
532#396C2314yes—
533#396C2312yes—
534#396C2312yes—
535#396C2314yes—
536#396C2314yes—
537#396C2314yes—
538#396C2314yes—
539#395C2312yes—
540#394C2312yes—
541#394C2314yes—
542#394C2312yes—
543#394C2314yes—
544#394C2314yes—
545#394C2314yes—
546#394C2314yes—
547#394C2312yes—
548#394C2312yes—
549#394C2312yes—
550#394C2312yes—
551#394C2314yes—
552#394C2314yes—
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#394C2314yes—
566#393C2314yes—
567#393C2314yes—
568#393C2314yes—
569#393C2312yes—
570#392C2314yes—
571#392C2314yes—
572#392C2314yes—
573#392C2314yes—
574#392C2312yes—
575#392C2314yes—
576#392C2312yes—
577#392C2312yes—
578#392C2312yes—
579#392C2314yes—
580#392C2314yes—
581#392C2314yes—
582#392C2314yes—
583#391C2312yes—
584#391C2312yes—
585#391C2312yes—
586#391C2312yes—
587#391C2314yes—
588#391C2311yescharacteristic
589#391C2312yes—
590#391C2311yescharacteristic
591#391C2311yescharacteristic
592#391C2312yes—
593#391C2312yes—
594#391C2312yes—
595#391C2312yes—
596#391C2312yes—
597#391C2311yescharacteristic
598#390C2311yescharacteristic
599#390C2312yes—
600#390C2312yes—
601#390C2312yes—
602#390C2314yes—
603#390C2314yes—
604#390C2314yes—
605#390C2314yes—
606#390C2314yes—
607#390C2314yes—
608#390C2312yes—
609#390C2312yes—
610#390C2312yes—
611#390C2311yescharacteristic
612#390C2312yes—
613#390C2311yescharacteristic
614#390C2312yes—
615#390C2312yes—
616#390C2312yes—
617#390C2314yes—
618#390C2314yes—
619#390C2312yes—
620#390C2314yes—
621#390C2312yes—
622#390C2312yes—
623#390C2314yes—
624#390C2314yes—
625#390C2314yes—
626#390C2312yes—
627#390C2314yes—
628#390C2314yes—
629#390C2311yescharacteristic
630#390C2311yescharacteristic
631#390C2312yes—
632#390C2312yes—
633#390C2314yes—
634#390C2312yes—
635#390C2311yescharacteristic
636#389C2311yescharacteristic
637#389C2312yes—
638#389C2312yes—
639#389C2312yes—
640#389C2314yes—
641#389C2311yescharacteristic
642#389C2312yes—
643#389C2312yes—
644#389C2312yes—
645#389C2312yes—
646#389C2312yes—
647#389C2314yes—
648#389C2311yescharacteristic
649#389C2312yes—
650#389C2311yescharacteristic
651#389C2312yes—
652#389C2312yes—
653#389C2314yes—
654#389C2312yes—
655#389C2311yescharacteristic
656#389C2314yes—
657#389C2311yescharacteristic
658#388C2312yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2312yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2312yes—
680#388C2312yes—
681#388C2312yes—
682#388C2312yes—
683#388C2314yes—
684#388C2314yes—
685#388C2312yes—
686#388C2312yes—
687#388C2314yes—
688#388C2312yes—
689#388C2312yes—
690#388C2312yes—
691#388C2312yes—
692#388C2314yes—
693#388C2314yes—
694#388C2314yes—
695#388C2314yes—
696#388C2314yes—
697#388C2312yes—
698#388C2314yes—
699#388C2314yes—
700#388C2314yes—
701#388C2312yes—
702#388C2312yes—
703#388C2312yes—
704#387C2314yes—
705#387C2314yes—
706#387C2314yes—
707#387C2314yes—
708#387C2314yes—
709#387C2314yes—
710#387C2314yes—
711#387C2312yes—
712#387C2314yes—
713#387C2312yes—
714#387C2312yes—
715#387C2314yes—
716#387C2312yes—
717#387C2314yes—
718#387C2312yes—
719#387C2312yes—
720#386C2312yes—
721#386C2312yes—
722#386C2312yes—
723#386C2314yes—
724#386C2314yes—
725#386C2314yes—
726#386C2314yes—
727#386C2314yes—
728#386C2314yes—
729#386C2314yes—
730#386C2314yes—
731#386C2314yes—
732#386C2314yes—
733#386C2314yes—
734#386C2312yes—
735#386C2312yes—
736#386C2314yes—
737#386C2314yes—
738#386C2312yes—
739#386C2312yes—
740#386C2314yes—
741#386C2312yes—
742#386C2312yes—
743#385C2314yes—
744#385C2314yes—
745#385C2314yes—
746#385C2312yes—
747#385C2314yes—
748#385C2314yes—
749#385C2314yes—
750#385C2314yes—
751#385C2312yes—
752#385C2314yes—
753#385C2312yes—
754#385C2314yes—
755#385C2314yes—
756#385C2312yes—
757#385C2312yes—
758#385C2314yes—
759#384C2311yescharacteristic
760#384C2312yes—
761#384C2314yes—
762#382C2312yes—
763#382C2311yescharacteristic
764#382C2312yes—
765#382C2311yescharacteristic
766#382C2314yes—
767#381C2314yes—
768#381C2314yes—
769#381C2312yes—
770#380C2312yes—
771#380C2311yescharacteristic
772#380C2312yes—
773#380C2311yescharacteristic
774#380C2312yes—
775#380C2312yes—
776#380C2314yes—
777#380C2312yes—
778#380C2312yes—
779#380C2314yes—
780#380C2311yescharacteristic
781#380C2314yes—
782#380C2312yes—
783#380C2311yescharacteristic
784#380C2314yes—
785#380C2314yes—
786#379C2314yes—
787#379C2314yes—
788#379C2314yes—
789#379C2314yes—
790#379C2314yes—
791C4×C4⋊C4C2314yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2314yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2311yescharacteristic
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2311yescharacteristic
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2311yescharacteristic
805C4×C4⋊C4C2314yes—
806C4×C4⋊C4C2314yes—
807C4×C4⋊C4C2311yescharacteristic
808C4×C4⋊C4C2312yes—
809C4×C4⋊C4C2311yescharacteristic
810C4×C4⋊C4C2312yes—
811C4×C4⋊C4C2312yes—
812C4×C4⋊C4C2311yescharacteristic
813C4×C4⋊C4C2314yes—
814C4×C4⋊C4C2314yes—
815C4×C4⋊C4C2312yes—
816C4×C4⋊C4C2311yescharacteristic
817C4×C4⋊C4C2312yes—
818C4×C22⋊C4C2314yes—
819C4×C22⋊C4C2314yes—
820C4×C22⋊C4C2311yescharacteristic
821C4×C22⋊C4C2312yes—
822C4×C22⋊C4C2311yescharacteristic
823C4×C22⋊C4C2312yes—
824C4×C22⋊C4C2311yescharacteristic
825C4×C22⋊C4C2314yes—
826C4×C22⋊C4C2312yes—
827C4×C22⋊C4C2312yes—
828C4×C22⋊C4C2311yescharacteristic
829C4×C22⋊C4C2314yes—
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2312yes—
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2314yes—
837C4×C22⋊C4C2314yes—
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2314yes—
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2314yes—
842C4×C22⋊C4C2311yescharacteristic
843C4×C22⋊C4C2312yes—
844C4×C22⋊C4C2311yescharacteristic
845C43C2312yes—
846C43C2311yescharacteristic
847C25C2414yes—
848C2×#41—24no—
849C2×#41—28no—
850C2×#41—24no—
851C2×#41—24no—
852C2×#41—28no—
853C2×#41—28no—
854C2×#41—44no—
855C2×#41—44no—
856C2×#41—42no—
857C2×#41—42no—
858C2×#41—42no—
859C2×#41—82no—
860C22×Q8—24no—
861C22×Q8—24no—
862C22×Q8—42no—
863C22×Q8C2412yes—
864C22×Q8C2411yescharacteristic
865C22×Q8C2411yescharacteristic
866C22×Q8C2412yes—
867C22×Q8C2412yes—
868C22×Q8C2411yescharacteristic
869C22×Q8C2412yes—
870C22×D4—28no—
871C22×D4—28no—
872C22×D4—28no—
873C22×D4—44no—
874C22×D4—44no—
875C22×D4—44no—
876C22×D4C2411yescharacteristic
877C22×D4C2412yes—
878C22×D4C2412yes—
879C22×D4C2412yes—
880C22×D4C2412yes—
881C22×D4C2412yes—
882C22×D4C2414yes—
883C22×D4C2412yes—
884C22×D4C2411yescharacteristic
885C22×D4C2411yescharacteristic
886C22×D4C2411yescharacteristic
887C22×D4C2412yes—
888C22×D4C2414yes—
889C22×D4C2414yes—
890C22×D4C2412yes—
891C22×D4C2414yes—
892C22×D4C2414yes—
893C22×D4C2412yes—
894C22×D4C2414yes—
895C22×D4C2412yes—
896C22×D4C2414yes—
897C22×D4C2412yes—
898C23×C4—216no—
899C23×C4—48no—
900C23×C4—84no—
901C23×C4C2412yes—
902C23×C4C2412yes—
903C23×C4C2411yescharacteristic
904C23×C4C2411yescharacteristic
905C23×C4C2411yescharacteristic
906C23×C4C2412yes—
907C23×C4C2412yes—
908C23×C4C2414yes—
909C23×C4C2412yes—
910C23×C4C2411yescharacteristic
911C23×C4C2412yes—
912C23×C4C2412yes—
913C23×C4C2411yescharacteristic
914C23×C4C2412yes—
915C23×C4C2414yes—
916C23×C4C2412yes—
917C23×C4C2411yescharacteristic
918C23×C4C2414yes—
919C23×C4C2414yes—
920C23×C4C2414yes—
921C4⋊Q8—24no—
922C4⋊Q8—216no—
923C4⋊Q8—24no—
924C4⋊Q8—44no—
925C4⋊Q8C2×D418yes—
926#127—24no—
927#127—216no—
928#127—24no—
929#127—44no—
930#126—216no—
931#126—216no—
932#126—216no—
933#126—216no—
934#126—216no—
935#126—216no—
936#125—28no—
937#125—28no—
938#125—28no—
939#125—216no—
940#125—216no—
941#125C2×D4116yes—
942#124—28no—
943#124—28no—
944#124—28no—
945#124—24no—
946#124—28no—
947#124—216no—
948#124—216no—
949#124—28no—
950#124—28no—
951#124—28no—
952#124—44no—
953#124—44no—
954#124—42no—
955#124—44no—
956#123—216no—
957#123—216no—
958#123—216no—
959#123—216no—
960#123—216no—
961#123—216no—
962#123—216no—
963#123—216no—
964#123—44no—
965C22⋊Q8—216no—
966C22⋊Q8—28no—
967C22⋊Q8—28no—
968C22⋊Q8—216no—
969C22⋊Q8—28no—
970C22⋊Q8—28no—
971C22⋊Q8—28no—
972C22⋊Q8—28no—
973C22⋊Q8—24no—
974C22⋊Q8—28no—
975C22⋊Q8—44no—
976C22⋊Q8—44no—
977C22⋊Q8—42no—
978C22⋊Q8—44no—
979C22⋊Q8C2×D4132yes—
980C22⋊Q8C2×D4116yes—
981#121—24no—
982#121—28no—
983#121—28no—
984#121—216no—
985#121—28no—
986#121—28no—
987#121—216no—
988#121—24no—
989#121—28no—
990#121—28no—
991#121—28no—
992#121—28no—
993#121—28no—
994#121—44no—
995#121—44no—
996#121—44no—
997#121—42no—
998#121—84no—
999#121—82no—
1000#121#4118yescomplemented
1001#120—216no—
1002#120—216no—
1003#120—216no—
1004#120—216no—
1005#120—84no—
1006C4×Q8—24no—
1007C4×Q8—24no—
1008C4×Q8—28no—
1009C4×Q8—24no—
1010C4×Q8—28no—
1011C4×Q8—24no—
1012C4×Q8—216no—
1013C4×Q8—28no—
1014C4×Q8—28no—
1015C4×Q8—24no—
1016C4×Q8—24no—
1017C4×Q8—28no—
1018C4×Q8—24no—
1019C4×Q8—28no—
1020C4×Q8—42no—
1021C4×Q8—82no—
1022C4×Q8C2×D418yes—
1023C4×D4—24no—
1024C4×D4—28no—
1025C4×D4—216no—
1026C4×D4—28no—
1027C4×D4—216no—
1028C4×D4—216no—
1029C4×D4—28no—
1030C4×D4—24no—
1031C4×D4—24no—
1032C4×D4—216no—
1033C4×D4—28no—
1034C4×D4—28no—
1035C4×D4—28no—
1036C4×D4—216no—
1037C4×D4—28no—
1038C4×D4—28no—
1039C4×D4—216no—
1040C4×D4—28no—
1041C4×D4—216no—
1042C4×D4—28no—
1043C4×D4—28no—
1044C4×D4—24no—
1045C4×D4—28no—
1046C4×D4—24no—
1047C4×D4—44no—
1048C4×D4—42no—
1049C4×D4—44no—
1050C4×D4—44no—
1051C4×D4—42no—
1052C4×D4—48no—
1053C4×D4—84no—
1054C4×D4—84no—
1055C4×D4C2×D4116yes—
1056C4×D4C2×D418yes—
1057#117—28no—
1058#117—216no—
1059#117—28no—
1060#117—24no—
1061#117—24no—
1062#117—28no—
1063#117—28no—
1064#117—216no—
1065#117—216no—
1066#117—28no—
1067#117—28no—
1068#117—44no—
1069#117—84no—
1070C2×C4⋊C4—28no—
1071C2×C4⋊C4—24no—
1072C2×C4⋊C4—28no—
1073C2×C4⋊C4—28no—
1074C2×C4⋊C4C2×D4116yes—
1075C2×C4⋊C4C2411yescharacteristic
1076C2×C4⋊C4C2411yescharacteristic
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2414yes—
1079C2×C4⋊C4C2414yes—
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2414yes—
1085C2×C4⋊C4C2411yescharacteristic
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2414yes—
1091C2×C4⋊C4C2414yes—
1092C2×C4⋊C4C2412yes—
1093C2×C4⋊C4C2411yescharacteristic
1094C2×C4⋊C4C2412yes—
1095C2×C4⋊C4C2411yescharacteristic
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2411yescharacteristic
1098C2×C4⋊C4C2411yescharacteristic
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2414yes—
1101C2×C4⋊C4C2414yes—
1102C2×C4⋊C4C2414yes—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2411yescharacteristic
1106C2×C4⋊C4C2411yescharacteristic
1107C2×C4⋊C4C2414yes—
1108C2×C4⋊C4C2414yes—
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2414yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2411yescharacteristic
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2414yes—
1119C2×C4⋊C4C2414yes—
1120C2×C4⋊C4C2414yes—
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2414yes—
1123C2×C4⋊C4C2414yes—
1124C2×C4⋊C4C2411yescharacteristic
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2414yes—
1129C2×C4⋊C4C2414yes—
1130C2×C4⋊C4C2411yescharacteristic
1131C2×C4⋊C4C2411yescharacteristic
1132C2×C22⋊C4—216no—
1133C2×C22⋊C4—216no—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2412yes—
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2414yes—
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2411yescharacteristic
1155C2×C22⋊C4C2411yescharacteristic
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2414yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2411yescharacteristic
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2414yes—
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2414yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2411yescharacteristic
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2411yescharacteristic
1179C2×C22⋊C4C2411yescharacteristic
1180C2×C22⋊C4C2414yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2414yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2414yes—
1190C2×C22⋊C4C2414yes—
1191C2×C22⋊C4C2414yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2414yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2414yes—
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2414yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2414yes—
1203C2×C22⋊C4C2414yes—
1204C2×C22⋊C4C2414yes—
1205C2×C22⋊C4C2412yes—
1206C2×C22⋊C4C2412yes—
1207C2×C42—28no—
1208C2×C42—28no—
1209C2×C42—28no—
1210C2×C42—24no—
1211C2×C42—24no—
1212C2×C42C2411yescharacteristic
1213C2×C42C2412yes—
1214C2×C42C2412yes—
1215C2×C42C2412yes—
1216C2×C42C2412yes—
1217C2×C42C2414yes—
1218C2×C42C2414yes—
1219C2×C42C2412yes—
1220C2×C42C2412yes—
1221C2×C42C2411yescharacteristic
1222C2×C42C2414yes—
1223C2×C42C2412yes—
1224C2×C42C2414yes—
1225C2×C42C2412yes—
1226C2×C42C2411yescharacteristic
1227C2×C42C2411yescharacteristic
1228C2×C42C2411yescharacteristic
1229C2×C42C2412yes—
1230C2×C42C2411yescharacteristic
1231C2×C42C2412yes—
1232C2×C42C2411yescharacteristic
1233C2×C42C2412yes—
1234C2×C42C2411yescharacteristic
1235C2×C42C2411yescharacteristic
1236C2×C42C2411yescharacteristic
1237C2×C42C2412yes—
1238C2×C42C2414yes—
1239C2×C42C2414yes—
1240C2×C42C2412yes—
1241C2×C42C2411yescharacteristic
1242C2×C42C2414yes—
1243C2×C42C2411yescharacteristic
1244C2×C42C2412yes—
1245C2×C42C2412yes—
1246C2×C42C2411yescharacteristic
1247#95C2411yescharacteristic
1248#95C2411yescharacteristic
1249#95C2411yescharacteristic
1250#95C2412yes—
1251#95C2412yes—
1252#95C2412yes—
1253#95C2412yes—
1254#95C2412yes—
1255#95C2412yes—
1256#95C2412yes—
1257#95C2414yes—
1258#95C2412yes—
1259#95C2412yes—
1260#95C2411yescharacteristic
1261#95C2411yescharacteristic
1262#95C2414yes—
1263#95C2411yescharacteristic
1264#95C2412yes—
1265#95C2414yes—
1266#95C2412yes—
1267#95C2414yes—
1268#95C2414yes—
1269#95C2412yes—
1270#95C2414yes—
1271#95C2414yes—
1272#95C2412yes—
1273#95C2412yes—
1274#95C2412yes—
1275#95C2412yes—
1276#95C2412yes—
1277#95C2412yes—
1278#95C2412yes—
1279#95C2412yes—
1280#95C2412yes—
1281#95C2412yes—
1282#95C2412yes—
1283#95C2412yes—
1284#95C2414yes—
1285#95C2414yes—
1286#95C2414yes—
1287#95C2414yes—
1288#95C2414yes—
1289#95C2414yes—
1290#95C2414yes—
1291#95C2414yes—
1292#95C2412yes—
1293#95C2412yes—
1294#95C2414yes—
1295C24—28no—
1296C24—28no—
1297C24—44no—
1298C24—44no—
1299C24—44no—
1300C24—44no—
1301C24—44no—
1302C24C2514yes—
1303C24C2512yes—
1304C24C2511yescharacteristic
1305C24C2512yes—
1306C24C2512yes—
1307C24C2511yescharacteristic
1308#41—432no—
1309#41—416no—
1310#41—416no—
1311#41—816no—
1312C2×Q8—24no—
1313C2×Q8—22no—
1314C2×Q8—22no—
1315C2×Q8—24no—
1316C2×Q8—24no—
1317C2×Q8—22no—
1318C2×Q8—24no—
1319C2×Q8—22no—
1320C2×Q8—24no—
1321C2×Q8—22no—
1322C2×Q8—24no—
1323C2×Q8—24no—
1324C2×Q8—22no—
1325C2×Q8—22no—
1326C2×Q8—22no—
1327C2×Q8—42no—
1328C2×Q8—42no—
1329C2×Q8—42no—
1330C2×Q8—42no—
1331C2×Q8—416no—
1332C2×Q8C22×D414yes—
1333C2×Q8C22×D418yes—
1334C2×D4—24no—
1335C2×D4—28no—
1336C2×D4—24no—
1337C2×D4—24no—
1338C2×D4—22no—
1339C2×D4—24no—
1340C2×D4—24no—
1341C2×D4—28no—
1342C2×D4—24no—
1343C2×D4—24no—
1344C2×D4—28no—
1345C2×D4—28no—
1346C2×D4—22no—
1347C2×D4—22no—
1348C2×D4—24no—
1349C2×D4—28no—
1350C2×D4—24no—
1351C2×D4—24no—
1352C2×D4—24no—
1353C2×D4—24no—
1354C2×D4—28no—
1355C2×D4—24no—
1356C2×D4—24no—
1357C2×D4—28no—
1358C2×D4—22no—
1359C2×D4—22no—
1360C2×D4—22no—
1361C2×D4—22no—
1362C2×D4—24no—
1363C2×D4—24no—
1364C2×D4—22no—
1365C2×D4—24no—
1366C2×D4—432no—
1367C2×D4—42no—
1368C2×D4—42no—
1369C2×D4—41no—
1370C2×D4—41no—
1371C2×D4—44no—
1372C2×D4—44no—
1373C2×D4—44no—
1374C2×D4—42no—
1375C2×D4—42no—
1376C2×D4—42no—
1377C2×D4—42no—
1378C2×D4—42no—
1379C2×D4—42no—
1380C2×D4—44no—
1381C2×D4—42no—
1382C2×D4—44no—
1383C2×D4—44no—
1384C2×D4—42no—
1385C2×D4—42no—
1386C2×D4—44no—
1387C2×D4—44no—
1388C2×D4—42no—
1389C2×D4—44no—
1390C2×D4—42no—
1391C2×D4—42no—
1392C2×D4—44no—
1393C2×D4—44no—
1394C2×D4—42no—
1395C2×D4—44no—
1396C2×D4—44no—
1397C2×D4—44no—
1398C2×D4—432no—
1399C2×D4C22×D414yes—
1400C2×D4C2×#4114yes—
1401C2×D4C2×#4118yes—
1402C22×C4—22no—
1403C22×C4—24no—
1404C22×C4—24no—
1405C22×C4—22no—
1406C22×C4—24no—
1407C22×C4—24no—
1408C22×C4—24no—
1409C22×C4—24no—
1410C22×C4—22no—
1411C22×C4—24no—
1412C22×C4—24no—
1413C22×C4—24no—
1414C22×C4—22no—
1415C22×C4—22no—
1416C22×C4—24no—
1417C22×C4—22no—
1418C22×C4—24no—
1419C22×C4—28no—
1420C22×C4—22no—
1421C22×C4—24no—
1422C22×C4—22no—
1423C22×C4—22no—
1424C22×C4—22no—
1425C22×C4—24no—
1426C22×C4—24no—
1427C22×C4—24no—
1428C22×C4—28no—
1429C22×C4—22no—
1430C22×C4—22no—
1431C22×C4—24no—
1432C22×C4—22no—
1433C22×C4—24no—
1434C22×C4—24no—
1435C22×C4—22no—
1436C22×C4—28no—
1437C22×C4—28no—
1438C22×C4—28no—
1439C22×C4—44no—
1440C22×C4—44no—
1441C22×C4—42no—
1442C22×C4—42no—
1443C22×C4—44no—
1444C22×C4—42no—
1445C22×C4—42no—
1446C22×C4—42no—
1447C22×C4—42no—
1448C22×C4—41no—
1449C22×C4—42no—
1450C22×C4—44no—
1451C22×C4—41no—
1452C22×C4—42no—
1453C22×C4—44no—
1454C22×C4—44no—
1455C22×C4—44no—
1456C22×C4—41no—
1457C22×C4—44no—
1458C22×C4—44no—
1459C22×C4—832no—
1460C22×C4C22×D418yes—
1461C22×C4C22×D4116yes—
1462C22×C4C2×#4114yes—
1463C22×C4C2511yescharacteristic
1464C22×C4C2514yes—
1465C22×C4C2512yes—
1466C22×C4C2511yescharacteristic
1467C22×C4C2512yes—
1468C22×C4C2512yes—
1469C22×C4C2512yes—
1470C22×C4C2511yescharacteristic
1471C22×C4C2511yescharacteristic
1472C22×C4C2511yescharacteristic
1473C22×C4C2511yescharacteristic
1474C22×C4C2512yes—
1475C22×C4C2512yes—
1476C22×C4C2512yes—
1477C22×C4C2512yes—
1478C22×C4C2512yes—
1479C22×C4C2511yescharacteristic
1480C22×C4C2511yescharacteristic
1481C22×C4C2514yes—
1482C22×C4C2512yes—
1483C22×C4C2512yes—
1484C22×C4C2512yes—
1485C22×C4C2511yescharacteristic
1486C22×C4C2514yes—
1487C22×C4C2512yes—
1488C22×C4C2511yescharacteristic
1489C22×C4C2511yescharacteristic
1490C22×C4C2511yescharacteristic
1491C22×C4C2511yescharacteristic
1492C4⋊C4—22no—
1493C4⋊C4—22no—
1494C4⋊C4—24no—
1495C4⋊C4—28no—
1496C4⋊C4—28no—
1497C4⋊C4—24no—
1498C4⋊C4—24no—
1499C4⋊C4—24no—
1500C4⋊C4—24no—
1501C4⋊C4—28no—
1502C4⋊C4—22no—
1503C4⋊C4—24no—
1504C4⋊C4—24no—
1505C4⋊C4—24no—
1506C4⋊C4—28no—
1507C4⋊C4—28no—
1508C4⋊C4—22no—
1509C4⋊C4—24no—
1510C4⋊C4—28no—
1511C4⋊C4—28no—
1512C4⋊C4—28no—
1513C4⋊C4—24no—
1514C4⋊C4—24no—
1515C4⋊C4—22no—
1516C4⋊C4—24no—
1517C4⋊C4—24no—
1518C4⋊C4—24no—
1519C4⋊C4—22no—
1520C4⋊C4—22no—
1521C4⋊C4—24no—
1522C4⋊C4—22no—
1523C4⋊C4—22no—
1524C4⋊C4—42no—
1525C4⋊C4—42no—
1526C4⋊C4—44no—
1527C4⋊C4—44no—
1528C4⋊C4—42no—
1529C4⋊C4—41no—
1530C4⋊C4—42no—
1531C4⋊C4—44no—
1532C4⋊C4—42no—
1533C4⋊C4—42no—
1534C4⋊C4—42no—
1535C4⋊C4—44no—
1536C4⋊C4—44no—
1537C4⋊C4—44no—
1538C4⋊C4—42no—
1539C4⋊C4—44no—
1540C4⋊C4—44no—
1541C4⋊C4C22×D414yes—
1542C4⋊C4C22×D418yes—
1543C4⋊C4C22×D418yes—
1544C4⋊C4C22×D418yes—
1545C4⋊C4C22×D4116yes—
1546C4⋊C4C22×D4116yes—
1547C4⋊C4C22×D414yes—
1548C4⋊C4C2×#4114yes—
1549C22⋊C4—24no—
1550C22⋊C4—24no—
1551C22⋊C4—28no—
1552C22⋊C4—28no—
1553C22⋊C4—22no—
1554C22⋊C4—24no—
1555C22⋊C4—28no—
1556C22⋊C4—24no—
1557C22⋊C4—24no—
1558C22⋊C4—28no—
1559C22⋊C4—28no—
1560C22⋊C4—28no—
1561C22⋊C4—28no—
1562C22⋊C4—28no—
1563C22⋊C4—24no—
1564C22⋊C4—24no—
1565C22⋊C4—24no—
1566C22⋊C4—24no—
1567C22⋊C4—28no—
1568C22⋊C4—28no—
1569C22⋊C4—28no—
1570C22⋊C4—28no—
1571C22⋊C4—28no—
1572C22⋊C4—24no—
1573C22⋊C4—28no—
1574C22⋊C4—28no—
1575C22⋊C4—22no—
1576C22⋊C4—28no—
1577C22⋊C4—28no—
1578C22⋊C4—24no—
1579C22⋊C4—22no—
1580C22⋊C4—24no—
1581C22⋊C4—42no—
1582C22⋊C4—42no—
1583C22⋊C4—42no—
1584C22⋊C4—44no—
1585C22⋊C4—41no—
1586C22⋊C4—41no—
1587C22⋊C4—42no—
1588C22⋊C4—42no—
1589C22⋊C4—42no—
1590C22⋊C4—42no—
1591C22⋊C4—42no—
1592C22⋊C4—41no—
1593C22⋊C4—44no—
1594C22⋊C4—42no—
1595C22⋊C4—42no—
1596C22⋊C4—42no—
1597C22⋊C4—44no—
1598C22⋊C4—42no—
1599C22⋊C4—44no—
1600C22⋊C4—44no—
1601C22⋊C4—44no—
1602C22⋊C4—42no—
1603C22⋊C4—44no—
1604C22⋊C4—42no—
1605C22⋊C4—44no—
1606C22⋊C4—44no—
1607C22⋊C4—42no—
1608C22⋊C4—44no—
1609C22⋊C4—42no—
1610C22⋊C4—42no—
1611C22⋊C4—44no—
1612C22⋊C4—44no—
1613C22⋊C4—44no—
1614C22⋊C4—42no—
1615C22⋊C4—42no—
1616C22⋊C4—44no—
1617C22⋊C4—44no—
1618C22⋊C4—44no—
1619C22⋊C4C22×D4116yes—
1620C22⋊C4C22×D418yes—
1621C22⋊C4C2×#4118yes—
1622C42—22no—
1623C42—22no—
1624C42—22no—
1625C42—24no—
1626C42—24no—
1627C42—24no—
1628C42—24no—
1629C42—24no—
1630C42—24no—
1631C42—24no—
1632C42—22no—
1633C42—24no—
1634C42—22no—
1635C42—22no—
1636C42—28no—
1637C42—28no—
1638C42—28no—
1639C42—28no—
1640C42—24no—
1641C42—22no—
1642C42—22no—
1643C42—24no—
1644C42—22no—
1645C42—24no—
1646C42—22no—
1647C42—42no—
1648C42—44no—
1649C42—42no—
1650C42—44no—
1651C42—41no—
1652C42—44no—
1653C42—42no—
1654C42—41no—
1655C42C22×D418yes—
1656C42C22×D414yes—
1657C23—21no—
1658C23—22no—
1659C23—22no—
1660C23—21no—
1661C23—21no—
1662C23—22no—
1663C23—21no—
1664C23—22no—
1665C23—22no—
1666C23—22no—
1667C23—22no—
1668C23—21no—
1669C23—22no—
1670C23—22no—
1671C23—22no—
1672C23—22no—
1673C23—21no—
1674C23—22no—
1675C23—22no—
1676C23—24no—
1677C23—21no—
1678C23—21no—
1679C23—24no—
1680C23—22no—
1681C23—22no—
1682C23—21no—
1683C23—22no—
1684C23—24no—
1685C23—24no—
1686C23—21no—
1687C23—24no—
1688C23—24no—
1689C23—21no—
1690C23—22no—
1691C23—21no—
1692C23—22no—
1693C23—24no—
1694C23—21no—
1695C23—22no—
1696C23—416no—
1697C23—416no—
1698C23—88no—
1699C23—88no—
1700C23—88no—
1701C23—88no—
1702C23—88no—
1703C23C23×D414yes—
1704C23C22×#4114yes—
1705C23C22×#4112yes—
1706C23C2611yescharacteristic
1707Q8—28no—
1708Q8—48no—
1709Q8—48no—
1710Q8—48no—
1711Q8—44no—
1712Q8—48no—
1713Q8—44no—
1714D4—28no—
1715D4—28no—
1716D4—48no—
1717D4—416no—
1718D4—48no—
1719D4—48no—
1720D4—48no—
1721D4—48no—
1722D4—44no—
1723D4—416no—
1724D4—48no—
1725D4—48no—
1726D4—44no—
1727D4—48no—
1728D4—88no—
1729D4—88no—
1730D4—84no—
1731D4—84no—
1732D4—88no—
1733D4—88no—
1734D4—84no—
1735D4—164no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—22no—
1739C2×C4—22no—
1740C2×C4—22no—
1741C2×C4—22no—
1742C2×C4—22no—
1743C2×C4—22no—
1744C2×C4—24no—
1745C2×C4—21no—
1746C2×C4—22no—
1747C2×C4—21no—
1748C2×C4—22no—
1749C2×C4—24no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—216no—
1753C2×C4—28no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—22no—
1758C2×C4—24no—
1759C2×C4—22no—
1760C2×C4—22no—
1761C2×C4—22no—
1762C2×C4—22no—
1763C2×C4—22no—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—24no—
1767C2×C4—21no—
1768C2×C4—22no—
1769C2×C4—22no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—22no—
1776C2×C4—21no—
1777C2×C4—22no—
1778C2×C4—21no—
1779C2×C4—22no—
1780C2×C4—21no—
1781C2×C4—22no—
1782C2×C4—21no—
1783C2×C4—22no—
1784C2×C4—21no—
1785C2×C4—24no—
1786C2×C4—22no—
1787C2×C4—22no—
1788C2×C4—22no—
1789C2×C4—24no—
1790C2×C4—22no—
1791C2×C4—21no—
1792C2×C4—24no—
1793C2×C4—21no—
1794C2×C4—22no—
1795C2×C4—22no—
1796C2×C4—21no—
1797C2×C4—22no—
1798C2×C4—21no—
1799C2×C4—22no—
1800C2×C4—22no—
1801C2×C4—21no—
1802C2×C4—22no—
1803C2×C4—21no—
1804C2×C4—21no—
1805C2×C4—22no—
1806C2×C4—24no—
1807C2×C4—22no—
1808C2×C4—21no—
1809C2×C4—22no—
1810C2×C4—22no—
1811C2×C4—416no—
1812C2×C4—48no—
1813C2×C4—416no—
1814C2×C4—44no—
1815C2×C4—48no—
1816C2×C4—48no—
1817C2×C4—48no—
1818C2×C4—48no—
1819C2×C4—44no—
1820C2×C4—48no—
1821C2×C4—44no—
1822C2×C4—48no—
1823C2×C4—44no—
1824C2×C4—84no—
1825C2×C4—88no—
1826C2×C4—82no—
1827C2×C4—88no—
1828C2×C4—88no—
1829C2×C4C23×D414yes—
1830C2×C4C23×D414yes—
1831C2×C4C23×D414yes—
1832C2×C4C23×D412yes—
1833C2×C4C23×D418yes—
1834C2×C4C23×D412yes—
1835C2×C4C23×D412yes—
1836C2×C4C22×#4114yes—
1837C2×C4C22×#4112yes—
1838C2×C4C22×#4112yes—
1839C2×C4#58512yes—
1840C2×C4#58512yes—
1841C2×C4#58512yes—
1842C2×C4#58512yes—
1843C22—24no—
1844C22—22no—
1845C22—24no—
1846C22—22no—
1847C22—24no—
1848C22—24no—
1849C22—22no—
1850C22—24no—
1851C22—24no—
1852C22—42no—
1853C22—41no—
1854C22—42no—
1855C22—41no—
1856C22—42no—
1857C22—42no—
1858C22—42no—
1859C22—41no—
1860C22—42no—
1861C22—41no—
1862C22—42no—
1863C22—42no—
1864C22—44no—
1865C22—41no—
1866C22—42no—
1867C22—42no—
1868C22—44no—
1869C22—41no—
1870C22—42no—
1871C22—41no—
1872C22—44no—
1873C22—41no—
1874C22—42no—
1875C22—44no—
1876C22—41no—
1877C22—44no—
1878C22—42no—
1879C22—41no—
1880C22—42no—
1881C22—44no—
1882C22—42no—
1883C22—41no—
1884C22—44no—
1885C22—832no—
1886C22C24×D411yescharacteristic
1887C22C23×#4111yescharacteristic
1888C22C2×#58511yescharacteristic
1889C22C2×#58511yescharacteristic
1890C22C2×#58511yescharacteristic
1891C22C2×#58511yescharacteristic
1892C22H(7,𝔽2)11yescharacteristic
1893C4—22no—
1894C4—24no—
1895C4—28no—
1896C4—22no—
1897C4—24no—
1898C4—24no—
1899C4—22no—
1900C4—24no—
1901C4—42no—
1902C4—42no—
1903C4—41no—
1904C4—41no—
1905C4—44no—
1906C4—41no—
1907C4—42no—
1908C4—41no—
1909C4—41no—
1910C4—41no—
1911C4—42no—
1912C4—42no—
1913C4—44no—
1914C4—41no—
1915C4—42no—
1916C4—42no—
1917C4—41no—
1918C4—42no—
1919C4—42no—
1920C4D4×#4114yes—
1921C4#348714yes—
1922C2—42no—
1923C2—44no—
1924C2—44no—
1925C2—81no—
1926C2—82no—
1927C2—84no—
1928C2C2×D4×#4111yescharacteristic
1929C2#6278111yescharacteristic
1930C2C2×#348711yescharacteristic
1931C2#6293811yescharacteristic
1932C2#6298711yescharacteristic
1933C2#6301011yescharacteristic
1934C2#6303111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3507C2semidirect
2. C2×#3481C2semidirect
3. #59660C2semidirect
4. #59658C2semidirect
5. #59120C2semidirect
6. #59082C2semidirect
7. #59057C2semidirect
8. #59053C2semidirect
9. #59052C2semidirect
10. #59017C2semidirect
11. #45093C2semidirect
12. #45023C2semidirect
13. #43545C2semidirect
14. #43040C2semidirect
15. #39953C2semidirect
16. #39881C2semidirect
17. #39342C2semidirect
18. #38957C2semidirect
19. #37801C2semidirect
20. #37787C2semidirect
21. #36597C2semidirect
22. #36580C2semidirect
23. #36504C2semidirect
24. #36441C2semidirect
25. #36405C2semidirect
26. #36162C2semidirect
27. #36150C2semidirect
28. #36115C2semidirect
29. #36015C2semidirect
30. #35752C2semidirect
31. #34715C2semidirect
32. #34700C2semidirect
33. #34317C2semidirect
34. #34265C2semidirect
35. C4×#548C2semidirect
40. C2×#557C22semidirect
42. C2×#556C22semidirect
43. C2×#556C22semidirect
46. C2×#554C22semidirect
49. C2×#552C22semidirect
50. C2×#552C22semidirect
56. C2×#539C22semidirect
57. C2×#536C22semidirect
59. C2×#533C22semidirect
65. C2×#529C22semidirect
67. C2×#520C22semidirect
70. C22×C4×Q8C22semidirect
74. #2858C22semidirect
75. #2857C22semidirect
77. #2855C22semidirect
78. #2850C22semidirect
79. #2850C22semidirect
80. #2849C22semidirect
81. #2732C22semidirect
82. #2730C22semidirect
83. #2728C22semidirect
84. #2718C22semidirect
85. #2716C22semidirect
86. #2711C22semidirect
87. #2710C22semidirect
88. #2707C22semidirect
89. #2706C22semidirect
90. #2706C22semidirect
91. #2705C22semidirect
94. #2685C22semidirect
95. #2678C22semidirect
96. #2678C22semidirect
97. #2674C22semidirect
98. #2673C22semidirect
100. #2670C22semidirect
102. #2661C22semidirect
103. #2635C22semidirect
106. #2602C22semidirect
107. #2600C22semidirect
108. #2592C22semidirect
109. #2582C22semidirect
110. #2580C22semidirect
111. #2558C22semidirect
112. #2554C22semidirect
113. #2554C22semidirect
114. #2554C22semidirect
115. #2552C22semidirect
117. #2546C22semidirect
118. #2545C22semidirect
119. #2544C22semidirect
121. #2542C22semidirect
124. #2540C22semidirect
125. #2540C22semidirect
126. #2540C22semidirect
128. #2536C22semidirect
129. #2536C22semidirect
130. #2519C22semidirect
131. #2519C22semidirect
132. #2512C22semidirect
134. #2500C22semidirect
136. #2491C22semidirect
137. #2490C22semidirect
138. #2490C22semidirect
139. #2489C22semidirect
140. #2489C22semidirect
141. #2485C22semidirect
142. #2482C22semidirect
143. #2480C22semidirect
144. #2479C22semidirect
145. #2479C22semidirect
146. #2478C22semidirect
147. #2476C22semidirect
148. #2475C22semidirect
149. #2474C22semidirect
150. #2472C22semidirect
151. #2471C22semidirect
152. #2471C22semidirect
153. #2469C22semidirect
154. #2468C22semidirect
155. #2468C22semidirect
156. #2467C22semidirect
157. #2467C22semidirect
158. #2467C22semidirect
159. #2467C22semidirect
160. #2460C22semidirect
161. #2460C22semidirect
162. #2459C22semidirect
163. #2459C22semidirect
164. #2458C22semidirect
165. #2458C22semidirect
166. #2457C22semidirect
167. #2456C22semidirect
168. #2456C22semidirect
169. #2455C22semidirect
171. #2454C22semidirect
172. #2454C22semidirect
173. #2451C22semidirect
174. #2448C22semidirect
175. #2448C22semidirect
178. #2445C22semidirect
179. #2443C22semidirect
180. #2442C22semidirect
181. #2442C22semidirect
182. #2441C22semidirect
183. #2439C22semidirect
184. #2439C22semidirect
185. #2436C22semidirect
192. #2429C22semidirect
193. #2428C22semidirect
195. #2427C22semidirect
196. #2427C22semidirect
197. #2427C22semidirect
200. #2426C22semidirect
201. #2426C22semidirect
202. #2426C22semidirect
203. #2426C22semidirect
204. #2426C22semidirect
205. #2423C22semidirect
206. #2423C22semidirect
208. #2418C22semidirect
209. #2418C22semidirect
210. #2417C22semidirect
211. #2416C22semidirect
212. #2415C22semidirect
214. #2414C22semidirect
215. #2414C22semidirect
216. #2414C22semidirect
217. #2414C22semidirect
218. #2411C22semidirect
223. #2407C22semidirect
224. #2407C22semidirect
225. #2395C22semidirect
226. #2392C22semidirect
227. #2392C22semidirect
228. #2388C22semidirect
229. #2370C22semidirect
230. #2369C22semidirect
232. #2367C22semidirect
233. #2367C22semidirect
234. #2367C22semidirect
235. #2367C22semidirect
236. #2367C22semidirect
237. #2366C22semidirect
238. #2366C22semidirect
239. #2366C22semidirect
240. #2365C22semidirect
243. #2363C22semidirect
244. #2363C22semidirect
245. #2363C22semidirect
246. #2362C22semidirect
247. #2362C22semidirect
248. #2362C22semidirect
249. #2362C22semidirect
250. #2362C22semidirect
253. #2361C22semidirect
254. #2361C22semidirect
255. #2361C22semidirect
256. #2361C22semidirect
257. #2360C22semidirect
259. #2355C22semidirect
261. #2354C22semidirect
262. #2354C22semidirect
263. #2352C22semidirect
264. #2352C22semidirect
265. #2351C22semidirect
266. #2344C22semidirect
268. #2341C22semidirect
269. Q8×C22⋊C4C22semidirect
270. #2332C22semidirect
271. #2323C22semidirect
272. #2321C22semidirect
273. #2321C22semidirect
275. C4×C4⋊Q8C22semidirect
276. C4×#125C22semidirect
278. C4×#124C22semidirect
279. C4×#124C22semidirect
280. C4×#124C22semidirect
281. C4×C22⋊Q8C22semidirect
282. C4×C22⋊Q8C22semidirect
283. C4×C22⋊Q8C22semidirect
284. C4×C22⋊Q8C22semidirect
285. C4×#123C22semidirect
287. C4×#121C22semidirect
288. C4×#121C22semidirect
289. C4×#121C22semidirect
290. C4×#120C22semidirect
291. C4×#120C22semidirect
292. #2297C22semidirect
293. #2296C22semidirect
296. #2280C22semidirect
297. #2274C22semidirect
298. C42×Q8C22semidirect
299. C42×D4C22semidirect
300. C42×D4C22semidirect
317. #554D4semidirect
1000. #121#41semidirect

Maximal subgroups

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

subgroupindex
C2×#35072
C2×#34812
#596602
#596582
#591202
#590822
#590572
#590532
#590522
#590172
#450932
#450232
#435452
#430402
#399532
#398812
#393422
#389572
#378012
#377872
#365972
#365802
#365042
#364412
#364052
#361622
#361502
#361152
#360152
#357522
#347152
#347002
#343172
#342652
C4×#5482