Finite Group Databasebeta

← #7629087

Subgroups — #7629087

Order 512.

8260 conjugacy classes of subgroups.

The subgroup lattice has 2020 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3444C211yesmaximal, characteristic, complemented
2C2×C4×2−1+4C211yesmaximal, characteristic, complemented
3#35665C212yesmaximal, complemented
4#35664C212yesmaximal, complemented
5#35663C212yesmaximal, complemented
6#35663C212yesmaximal, complemented
7#35662C211yesmaximal, characteristic, complemented
8#35661C211yesmaximal, characteristic, complemented
9#35660C211yesmaximal, characteristic, complemented
10#35659C211yesmaximal, characteristic, complemented
11#35654C212yesmaximal, complemented
12#35600C212yesmaximal, complemented
13#35521C212yesmaximal, complemented
14#35520C212yesmaximal, complemented
15#35519C211yesmaximal, characteristic, complemented
16#35518C211yesmaximal, characteristic, complemented
17#35517C211yesmaximal, characteristic, complemented
18#35516C211yesmaximal, characteristic, complemented
19#35450C214yesmaximal, complemented
20#35353C214yesmaximal, complemented
21#34976C212yesmaximal, complemented
22#34971C212yesmaximal, complemented
23#34952C212yesmaximal, complemented
24#34909C212yesmaximal, complemented
25#34735C214yesmaximal, complemented
26#34732C214yesmaximal, complemented
27#34724C212yesmaximal, complemented
28#34715C212yesmaximal, complemented
29#34708C212yesmaximal, complemented
30#34691C212yesmaximal, complemented
31C4×#537C211yesmaximal, characteristic, complemented
32C4×#536C211yesmaximal, characteristic, complemented
33#34060C211yesmaximal, characteristic, complemented
34C4×#525C211yesmaximal, characteristic, complemented
35C2×C4×C22⋊Q8C211yesmaximal, characteristic, complemented
36C22×2−1+4C2211yescharacteristic
37C2×#537C2211yescharacteristic
38C2×#536C2211yescharacteristic
39#3444—216no—
40C2×#533C2211yescharacteristic
41C2×#533C2211yescharacteristic
42C2×#533C2211yescharacteristic
43C2×#532C2211yescharacteristic
44C2×#532C2211yescharacteristic
45C2×#532C2211yescharacteristic
46C2×#529C2211yescharacteristic
47C2×#529C2212yes—
48C2×#529C2212yes—
49C2×#529C2211yescharacteristic
50C2×#529C2212yes—
51C2×#529C2211yescharacteristic
52C2×#529C2211yescharacteristic
53C2×#529C2212yes—
54C2×#525C2212yes—
55C2×#525C2211yescharacteristic
56C2×#525C2211yescharacteristic
57C2×#525C2211yescharacteristic
58C2×#525C2212yes—
59C22×C22⋊Q8C2211yescharacteristic
60C4×2−1+4—216no—
61C2×#520C2214yes—
62C2×#520C2211yescharacteristic
63C2×#520C2211yescharacteristic
64C2×#520C2212yescomplemented
65C2×#520C2212yescomplemented
66C2×#519C2211yescharacteristic
67C2×#519C2212yescomplemented
68C2×#519C2212yescomplemented
69C2×C4×#41C2211yescharacteristic
70C2×C4×#41C2211yescharacteristic
71C2×C4×#41C2212yes—
72C2×C4×#41C2212yes—
73C2×C4×#41C2214yes—
74C2×C4×#41C2211yescharacteristic
75C2×C4×#41C2212yescomplemented
76C2×C4×#41C2212yescomplemented
77C22×C4×Q8C2211yescharacteristic
78C22×C4×Q8C2212yescomplemented
79C22×C4×Q8C2212yescomplemented
80C23×C42C2211yescharacteristic
81#2609C2214yes—
82#2609C2214yescomplemented
83#2600C2214yes—
84#2600C2214yescomplemented
85#2599C2214yes—
86#2599C2214yescomplemented
87#2599C2214yescomplemented
88#2598C2214yes—
89#2582C2212yescomplemented
90#2582C2212yescomplemented
91#2582C2212yescomplemented
92#2581C2212yescomplemented
93#2581C2212yescomplemented
94#2581C2212yescomplemented
95#2581C2214yescomplemented
96#2580C2214yes—
97#2580C2212yescomplemented
98#2579C2214yes—
99#2579C2214yescomplemented
100#2538C2212yes—
101#2538C2212yes—
102#2538C2212yes—
103#2538C2212yescomplemented
104#2537C2212yes—
105#2536C2212yes—
106#2536C2212yes—
107#2536C2212yes—
108#2535C2212yes—
109#2487C2212yes—
110#2487C2212yescomplemented
111#2486C2212yes—
112#2486C2212yescomplemented
113#2485C2212yes—
114#2485C2212yes—
115#2485C2214yescomplemented
116#2485C2212yescomplemented
117#2485C2212yescomplemented
118#2484C2214yescomplemented
119#2481C2214yescomplemented
120#2479C2214yescomplemented
121#2478C2214yescomplemented
122#2478C2214yescomplemented
123#2477C2214yes—
124#2476C2214yes—
125#2476C2214yes—
126#2475C2214yescomplemented
127#2474C2214yescomplemented
128#2474C2214yescomplemented
129#2473C2214yescomplemented
130#2471C2214yes—
131#2470C2214yes—
132#2470C2214yes—
133#2469C2214yescomplemented
134#2469C2214yescomplemented
135#2468C2214yescomplemented
136#2466C2214yescomplemented
137#2465C2214yes—
138#2465C2214yes—
139#2464C2214yes—
140#2462C2214yescomplemented
141#2462C2214yescomplemented
142#2461C2214yescomplemented
143#2459C2214yescomplemented
144#2458C2214yes—
145#2458C2214yes—
146#2457C2214yes—
147#2456C2214yes—
148#2455C2214yes—
149#2453C2212yescomplemented
150#2453C2212yescomplemented
151#2451C2212yescomplemented
152#2451C2212yescomplemented
153#2450C2214yes—
154#2449C2214yes—
155#2449C2214yes—
156#2448C2212yescomplemented
157#2447C2212yescomplemented
158#2446C2212yescomplemented
159#2445C2212yescomplemented
160#2444C2214yes—
161#2443C2214yes—
162#2443C2214yes—
163#2442C2212yescomplemented
164#2441C2212yescomplemented
165#2440C2212yescomplemented
166#2439C2212yescomplemented
167#2438C2214yes—
168#2438C2214yes—
169#2436C2212yescomplemented
170#2434C2212yescomplemented
171#2432C2212yescomplemented
172#2431C2212yescomplemented
173#2430C2214yes—
174#2430C2214yes—
175#2429C2212yes—
176#2429C2212yes—
177#2426C2212yes—
178#2426C2212yes—
179#2425C2214yes—
180#2424C2214yes—
181#2423C2212yes—
182#2422C2212yes—
183#2421C2212yes—
184#2420C2212yes—
185#2419C2214yes—
186#2418C2214yes—
187#2417C2212yes—
188#2416C2212yes—
189#2415C2212yes—
190#2414C2212yes—
191#2413C2214yes—
192#2411C2214yes—
193#2409C2212yes—
194#2409C2212yes—
195#2409C2212yes—
196#2409C2212yes—
197#2409C2212yescomplemented
198#2409C2212yescomplemented
199#2407C2214yes—
200#2407C2212yes—
201#2407C2212yes—
202#2407C2212yes—
203#2407C2212yes—
204#2407C2212yescomplemented
205#2407C2212yescomplemented
206#2406C2214yes—
207#2406C2214yes—
208#2404C2214yes—
209#2399C2214yescomplemented
210#2398C2214yes—
211#2396C2214yes—
212#2396C2214yescomplemented
213#2395C2214yescomplemented
214#2392C2214yes—
215#2392C2214yescomplemented
216#2388C2214yes—
217#2327C2212yescomplemented
218#2326C2212yescomplemented
219#2325C2214yes—
220#2324C2212yescomplemented
221#2324C2212yescomplemented
222#2323C2212yescomplemented
223#2323C2212yescomplemented
224#2323C2212yescomplemented
225#2323C2212yescomplemented
226#2322C2214yes—
227#2320C2212yescomplemented
228#2319C2212yescomplemented
229#2318C2214yes—
230#2317C2211yescharacteristic
231#2317C2211yescharacteristic
232#2317C2211yescharacteristic
233#2316C2211yescharacteristic
234#2314C2212yescomplemented
235#2314C2212yescomplemented
236#2311C2211yescharacteristic
237#2311C2211yescharacteristic
238#2311C2211yescharacteristic
239#2311C2211yescharacteristic
240#2311C2211yescharacteristic
241#2310C2211yescharacteristic
242C4×C4⋊Q8C2212yescomplemented
243C4×#124C2212yescomplemented
244C4×C22⋊Q8C2212yes—
245C4×C22⋊Q8C2212yes—
246C4×C22⋊Q8C2211yescharacteristic
247C4×C22⋊Q8C2211yescharacteristic
248C4×C22⋊Q8C2212yes—
249C4×C22⋊Q8C2212yes—
250C4×C22⋊Q8C2212yes—
251C4×C22⋊Q8C2212yes—
252C4×C22⋊Q8C2211yescharacteristic
253C4×C22⋊Q8C2212yes—
254C4×C22⋊Q8C2211yescharacteristic
255C4×C22⋊Q8C2212yes—
256C4×C22⋊Q8C2212yescomplemented
257C4×C22⋊Q8C2212yescomplemented
258C4×C22⋊Q8C2212yescomplemented
259C4×C22⋊Q8C2212yescomplemented
260C4×C22⋊Q8C2214yescomplemented
261C4×#123C2214yes—
262C4×#123C2212yes—
263C4×#123C2214yes—
264C4×#123C2212yes—
265C4×#123C2214yescomplemented
266C4×#121C2214yes—
267C4×#121C2211yescharacteristic
268C4×#121C2214yes—
269C4×#121C2211yescharacteristic
270C4×#121C2211yescharacteristic
271C4×#121C2211yescharacteristic
272C4×#121C2212yescomplemented
273C4×#121C2212yescomplemented
274C4×#120C2212yes—
275C4×#120C2212yes—
276#2297C2211yescharacteristic
277#2297C2214yes—
278#2296C2211yescharacteristic
279#2296C2214yescomplemented
280#2295C2212yescomplemented
281C2×#391C2211yescharacteristic
282#2293C2212yescomplemented
283C2×#389C2211yescharacteristic
284#2290C2214yes—
285#2290C2212yes—
286#2290C2212yes—
287#2290C2214yes—
288#2290C2214yescomplemented
289C2×#387C2212yes—
290C2×#385C2212yes—
291#2285C2212yescomplemented
292#2283C2212yescomplemented
293#2280C2211yescharacteristic
294C2×#380C2211yescharacteristic
295C42×D4C2212yes—
296C42×D4C2212yes—
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C2×C4×C4⋊C4C2212yes—
300C2×C4×C22⋊C4C2212yes—
301C2×2−1+4—28no—
302C2×2−1+4—28no—
303C2×2−1+4—28no—
304C22×#41C2311yescharacteristic
305C22×#41C2314yes—
306C22×#41C2312yes—
307C22×#41C2312yes—
308C22×#41C2312yes—
309C22×#41C2311yescharacteristic
310C22×#41C2311yescharacteristic
311C22×#41C2312yes—
312C23×Q8C2312yes—
313C23×Q8C2312yes—
314C23×Q8C2311yescharacteristic
315C24×C4C2311yescharacteristic
316C24×C4C2311yescharacteristic
317C24×C4C2311yescharacteristic
318#537—28no—
319#536—28no—
320#533—28no—
321#533—28no—
322#533—28no—
323#532—28no—
324#532—28no—
325#532—28no—
326C2×C4⋊Q8C2312yes—
327C2×C4⋊Q8C2311yescharacteristic
328C2×C4⋊Q8C2311yescharacteristic
329C2×C4⋊Q8C2311yescharacteristic
330C2×#127C2311yescharacteristic
331#529—28no—
332#529—28no—
333#529—216no—
334#529—216no—
335#529—28no—
336#529—28no—
337#529—216no—
338#529—216no—
339C2×#126C2312yes—
340C2×#126C2312yes—
341C2×#126C2312yes—
342C2×#126C2312yes—
343C2×#125C2311yescharacteristic
344C2×#125C2311yescharacteristic
345C2×#125C2312yes—
346C2×#125C2312yes—
347C2×#124C2312yes—
348C2×#124C2311yescharacteristic
349C2×#124C2311yescharacteristic
350C2×#124C2312yes—
351C2×#124C2312yes—
352#525—28no—
353#525—28no—
354#525—216no—
355#525—216no—
356#525—28no—
357C2×#123C2314yes—
358C2×#123C2312yes—
359C2×#123C2312yes—
360C2×#123C2312yes—
361C2×#123C2312yes—
362C2×#123C2312yes—
363C2×#123C2312yes—
364C2×#123C2312yes—
365C2×#123C2314yes—
366C2×#123C2314yes—
367C2×C22⋊Q8—28no—
368C2×C22⋊Q8C2312yes—
369C2×C22⋊Q8C2312yes—
370C2×C22⋊Q8C2312yes—
371C2×C22⋊Q8C2312yes—
372C2×C22⋊Q8C2312yes—
373C2×C22⋊Q8C2312yes—
374C2×C22⋊Q8C2312yes—
375C2×C22⋊Q8C2312yes—
376C2×C22⋊Q8C2311yescharacteristic
377C2×C22⋊Q8C2311yescharacteristic
378C2×C22⋊Q8C2311yescharacteristic
379C2×C22⋊Q8C2311yescharacteristic
380C2×C22⋊Q8C2311yescharacteristic
381C2×C22⋊Q8C2311yescharacteristic
382C2×C22⋊Q8C2312yes—
383C2×C22⋊Q8C2312yes—
384C2×C22⋊Q8C2312yes—
385C2×C22⋊Q8C2312yes—
386C2×C22⋊Q8C2314yes—
387C2×#121C2312yes—
388C2×#121C2312yes—
389C2×#121C2314yes—
390C2×#121C2311yescharacteristic
391C2×#121C2311yescharacteristic
392C2×#121C2311yescharacteristic
393C2×#121C2311yescharacteristic
394C2×#121C2311yescharacteristic
395C2×#121C2311yescharacteristic
396C2×#121C2312yes—
397C2×#121C2312yes—
398C2×#121C2312yes—
399C2×#121C2312yes—
400C2×#121C2314yes—
401C2×#120C2312yes—
402C2×#120C2312yes—
403C2×#120C2312yes—
404#520—28no—
405#520—232no—
406#520—216no—
407#520—28no—
408#520—216no—
409#519—216no—
410#519—28no—
411#519—216no—
412C4×#41—232no—
413C4×#41—216no—
414C4×#41—28no—
415C4×#41—28no—
416C4×#41—216no—
417C4×#41—216no—
418C4×#41—216no—
419C4×#41D4116yescomplemented
420C2×C4×Q8—216no—
421C2×C4×Q8—28no—
422C2×C4×Q8—216no—
423C2×C4×Q8C2311yescharacteristic
424C2×C4×Q8C2312yes—
425C2×C4×Q8C2311yescharacteristic
426C2×C4×Q8C2312yes—
427C2×C4×Q8C2311yescharacteristic
428C2×C4×Q8C2314yes—
429C2×C4×Q8C2312yes—
430C2×C4×Q8C2312yes—
431C2×C4×Q8C2312yes—
432C2×C4×Q8C2312yes—
433C2×C4×Q8C2312yes—
434C2×C4×Q8C2312yes—
435C2×C4×Q8C2312yes—
436C2×C4×Q8C2314yes—
437C2×C4×Q8C2312yes—
438C2×C4×Q8C2312yes—
439C2×C4×Q8C2311yescharacteristic
440C2×C4×Q8C2312yes—
441C2×C4×Q8C2312yes—
442C2×C4×Q8C2314yes—
443C2×C4×Q8C2314yes—
444C2×C4×Q8C2312yes—
445C2×C4×Q8C2311yescharacteristic
446C2×C4×Q8C2311yescharacteristic
447C2×C4×D4C2312yes—
448C2×C4×D4C2312yes—
449C2×C4×D4C2312yes—
450C2×C4×D4C2311yescharacteristic
451C2×C4×D4C2311yescharacteristic
452C2×C4×D4C2312yes—
453C2×C4×D4C2312yes—
454C2×C4×D4C2312yes—
455C2×C4×D4C2314yes—
456C2×C4×D4C2312yes—
457C2×C4×D4C2314yes—
458C2×C4×D4C2312yes—
459C2×C4×D4C2312yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2311yescharacteristic
463C2×C4×D4C2314yes—
464C2×C4×D4C2314yes—
465C2×C4×D4C2314yes—
466C2×C4×D4C2312yes—
467C2×C4×D4C2312yes—
468C2×C4×D4C2312yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2312yes—
472C2×C4×D4C2312yes—
473C2×C4×D4C2311yescharacteristic
474C2×C4×D4C2312yes—
475C2×C4×D4C2314yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2312yes—
478C2×C4×D4C2314yes—
479C2×C4×D4C2312yes—
480C2×C4×D4C2312yes—
481C2×C4×D4C2312yes—
482C2×C4×D4C2312yes—
483C2×C4×D4C2311yescharacteristic
484C2×C4×D4C2312yes—
485C2×C4×D4C2311yescharacteristic
486C2×#117C2311yescharacteristic
487C2×#117C2311yescharacteristic
488C2×#117C2311yescharacteristic
489C2×#117C2311yescharacteristic
490C2×#117C2312yes—
491C2×#117C2312yes—
492C2×#117C2314yes—
493C2×#117C2312yes—
494C2×#117C2312yes—
495C2×#117C2312yes—
496C2×#117C2312yes—
497C2×#117C2312yes—
498C2×#117C2314yes—
499C2×#117C2314yes—
500C2×#117C2314yes—
501C2×#117C2312yes—
502C2×#117C2312yes—
503C2×#117C2314yes—
504C2×#117C2312yes—
505C2×#117C2314yes—
506C2×#117C2312yes—
507C2×#117C2311yescharacteristic
508C22×C4⋊C4C2311yescharacteristic
509C22×C4⋊C4C2311yescharacteristic
510C22×C4⋊C4C2311yescharacteristic
511C22×C4⋊C4C2312yes—
512C22×C4⋊C4C2314yes—
513C22×C4⋊C4C2312yes—
514C22×C4⋊C4C2314yes—
515C22×C4⋊C4C2312yes—
516C22×C4⋊C4C2312yes—
517C22×C4⋊C4C2312yes—
518C22×C22⋊C4C2312yes—
519C22×C22⋊C4C2312yes—
520C22×C42—28no—
521C22×C42C2311yescharacteristic
522C22×C42C2311yescharacteristic
523C22×C42C2311yescharacteristic
524C22×C42C2311yescharacteristic
525C22×C42C2311yescharacteristic
526C22×C42C2311yescharacteristic
527C22×C42C2311yescharacteristic
528C22×C42C2311yescharacteristic
529C22×C42C2311yescharacteristic
530C22×C42C2311yescharacteristic
531C22×C42C2311yescharacteristic
532C22×C42C2312yes—
533C22×C42C2312yes—
534C22×C42C2314yes—
535C22×C42C2314yes—
536C22×C42C2312yes—
537C22×C42C2312yes—
538C22×C42C2311yescharacteristic
539C22×C42C2312yes—
540#400C2314yes—
541#400C2314yes—
542#400C2314yes—
543#400C2314yes—
544#400C2314yes—
545#399C2314yes—
546#399C2314yes—
547#399C2314yes—
548#398C2314yes—
549#398C2314yes—
550#398C2314yes—
551#398C2314yes—
552#398C2314yes—
553#398C2314yes—
554#398C2314yes—
555#398C2314yes—
556#398C2314yes—
557#398C2314yes—
558#398C2314yes—
559#397C2314yes—
560#397C2314yes—
561#397C2314yes—
562#397C2314yes—
563#397C2314yes—
564#397C2314yes—
565#397C2314yes—
566#396C2314yes—
567#396C2314yes—
568#396C2314yes—
569#396C2314yes—
570#396C2314yes—
571#396C2314yes—
572#396C2314yes—
573#396C2314yes—
574#395C2314yes—
575#395C2314yes—
576#395C2314yes—
577#395C2314yes—
578#395C2314yes—
579#395C2314yes—
580#395C2314yes—
581#394C2314yes—
582#394C2314yes—
583#394C2314yes—
584#394C2314yes—
585#394C2314yes—
586#394C2314yes—
587#394C2314yes—
588#394C2314yes—
589#394C2314yes—
590#394C2314yes—
591#394C2314yes—
592#394C2314yes—
593#394C2314yes—
594#393C2314yes—
595#393C2314yes—
596#393C2314yes—
597#393C2314yes—
598#393C2314yes—
599#392C2314yes—
600#392C2314yes—
601#392C2314yes—
602#392C2314yes—
603#392C2314yes—
604#391C2312yes—
605#391C2312yes—
606#391C2312yes—
607#391C2312yes—
608#391C2312yes—
609#391C2312yes—
610#391C2312yes—
611#391C2312yes—
612#391C2312yes—
613#391C2311yescharacteristic
614#391C2312yes—
615#391C2312yes—
616#391C2314yes—
617#391C2314yes—
618#391C2311yescharacteristic
619#391C2314yes—
620#391C2312yes—
621#391C2312yes—
622#390C2312yes—
623#390C2312yes—
624#390C2312yes—
625#390C2312yes—
626#390C2312yes—
627#390C2314yes—
628#390C2314yes—
629#390C2314yes—
630#390C2311yescharacteristic
631#390C2314yes—
632#390C2311yescharacteristic
633#389C2314yes—
634#389C2314yes—
635#389C2312yes—
636#389C2312yes—
637#389C2312yes—
638#389C2312yes—
639#389C2312yes—
640#389C2312yes—
641#389C2312yes—
642#389C2312yes—
643#389C2312yes—
644#389C2312yes—
645#389C2314yes—
646#389C2314yes—
647#389C2314yes—
648#389C2312yes—
649#389C2311yescharacteristic
650#389C2311yescharacteristic
651#389C2314yes—
652#389C2314yes—
653#389C2312yes—
654#389C2311yescharacteristic
655#389C2311yescharacteristic
656#389C2314yes—
657#389C2314yes—
658#389C2312yes—
659#389C2312yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2312yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2314yes—
681#388C2314yes—
682#388C2312yes—
683#388C2314yes—
684#388C2312yes—
685#388C2312yes—
686#387C2314yes—
687#387C2314yes—
688#387C2314yes—
689#387C2314yes—
690#387C2314yes—
691#387C2314yes—
692#387C2314yes—
693#387C2314yes—
694#387C2314yes—
695#387C2314yes—
696#387C2312yes—
697#387C2314yes—
698#387C2314yes—
699#387C2314yes—
700#387C2314yes—
701#387C2314yes—
702#387C2314yes—
703#387C2314yes—
704#387C2312yes—
705#387C2314yes—
706#387C2314yes—
707#387C2314yes—
708#387C2314yes—
709#387C2314yes—
710#387C2314yes—
711#387C2312yes—
712#387C2314yes—
713#387C2312yes—
714#386C2314yes—
715#386C2314yes—
716#386C2314yes—
717#386C2314yes—
718#386C2314yes—
719#386C2314yes—
720#386C2314yes—
721#386C2314yes—
722#386C2314yes—
723#386C2314yes—
724#386C2314yes—
725#386C2312yes—
726#386C2314yes—
727#386C2314yes—
728#386C2314yes—
729#386C2314yes—
730#386C2312yes—
731#386C2314yes—
732#386C2314yes—
733#386C2314yes—
734#386C2314yes—
735#386C2312yes—
736#386C2312yes—
737#386C2312yes—
738#386C2312yes—
739#385C2314yes—
740#385C2314yes—
741#385C2314yes—
742#385C2314yes—
743#385C2314yes—
744#385C2312yes—
745#385C2314yes—
746#385C2314yes—
747#385C2314yes—
748#385C2314yes—
749#385C2314yes—
750#385C2314yes—
751#385C2314yes—
752#385C2314yes—
753#385C2314yes—
754#385C2312yes—
755#385C2314yes—
756#385C2314yes—
757#385C2314yes—
758#385C2314yes—
759#385C2314yes—
760#385C2314yes—
761#385C2314yes—
762#385C2312yes—
763#385C2312yes—
764#385C2314yes—
765#385C2314yes—
766#385C2312yes—
767#385C2312yes—
768#384C2312yes—
769#384C2312yes—
770#384C2312yes—
771#383C2314yes—
772#382C2312yes—
773#382C2312yes—
774#382C2312yes—
775#382C2314yes—
776#381C2314yes—
777#381C2314yes—
778#381C2312yes—
779#381C2314yes—
780#381C2314yes—
781#380C2312yes—
782#380C2312yes—
783#380C2312yes—
784#380C2312yes—
785#380C2312yes—
786#380C2312yes—
787#380C2312yes—
788#380C2312yes—
789#380C2312yes—
790#380C2312yes—
791#380C2314yes—
792#380C2314yes—
793#380C2312yes—
794#380C2312yes—
795#380C2314yes—
796#380C2314yes—
797#380C2311yescharacteristic
798#380C2311yescharacteristic
799#380C2312yes—
800#380C2312yes—
801#380C2311yescharacteristic
802#380C2311yescharacteristic
803#379C2312yes—
804C4×C4⋊C4C2314yes—
805C4×C4⋊C4C2314yes—
806C4×C4⋊C4C2311yescharacteristic
807C4×C4⋊C4C2311yescharacteristic
808C4×C4⋊C4C2312yes—
809C4×C4⋊C4C2312yes—
810C4×C4⋊C4C2314yes—
811C4×C4⋊C4C2314yes—
812C4×C4⋊C4C2314yes—
813C4×C4⋊C4C2314yes—
814C4×C4⋊C4C2312yes—
815C4×C4⋊C4C2312yes—
816C4×C4⋊C4C2312yes—
817C4×C4⋊C4C2312yes—
818C4×C4⋊C4C2314yes—
819C4×C4⋊C4C2312yes—
820C4×C4⋊C4C2314yes—
821C4×C4⋊C4C2312yes—
822C4×C4⋊C4C2312yes—
823C4×C4⋊C4C2312yes—
824C4×C4⋊C4C2311yescharacteristic
825C4×C4⋊C4C2311yescharacteristic
826C4×C22⋊C4C2312yes—
827C4×C22⋊C4C2314yes—
828C4×C22⋊C4C2314yes—
829C4×C22⋊C4C2314yes—
830C4×C22⋊C4C2314yes—
831C4×C22⋊C4C2314yes—
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2314yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2314yes—
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2312yes—
842C4×C22⋊C4C2314yes—
843C4×C22⋊C4C2312yes—
844C4×C22⋊C4C2312yes—
845C4×C22⋊C4C2314yes—
846C4×C22⋊C4C2312yes—
847C4×C22⋊C4C2312yes—
848C4×C22⋊C4C2312yes—
849#376C2312yes—
850#376C2314yes—
851C2×#95C2312yes—
852C2×#95C2312yes—
853C2×#95C2312yes—
854C2×#95C2312yes—
855C2×#95C2312yes—
856C43C2312yes—
857C25C2411yescharacteristic
8582−1+4—2128no—
859C2×#41—28no—
860C2×#41—28no—
861C2×#41—216no—
862C2×#41—28no—
863C2×#41—216no—
864C2×#41—28no—
865C2×#41—28no—
866C2×#41—24no—
867C2×#41—28no—
868C2×#41—28no—
869C2×#41—24no—
870C2×#41—216no—
871C2×#41—28no—
872C2×#41—24no—
873C2×#41—24no—
874C2×#41—24no—
875C2×#41—24no—
876C2×#41—24no—
877C2×#41—28no—
878C2×#41—44no—
879C2×#41—44no—
880C2×#41—44no—
881C2×#41C2×D418yes—
882C2×#41#4118yescomplemented
883C22×Q8—28no—
884C22×Q8—28no—
885C22×Q8—28no—
886C22×Q8—28no—
887C22×Q8—28no—
888C22×Q8—24no—
889C22×Q8—28no—
890C22×Q8—24no—
891C22×Q8#4118yescomplemented
892C22×Q8C2414yes—
893C22×Q8C2411yescharacteristic
894C22×Q8C2412yes—
895C22×Q8C2412yes—
896C22×Q8C2411yescharacteristic
897C22×Q8C2411yescharacteristic
898C22×Q8C2412yes—
899C22×Q8C2412yes—
900C22×D4C2414yes—
901C22×D4C2412yes—
902C22×D4C2411yescharacteristic
903C22×D4C2412yes—
904C22×D4C2412yes—
905C22×D4C2412yes—
906C22×D4C2412yes—
907C22×D4C2412yes—
908C22×D4C2412yes—
909C22×D4C2412yes—
910C22×D4C2412yes—
911C22×D4C2412yes—
912C22×D4C2411yescharacteristic
913C22×D4C2412yes—
914C22×D4C2411yescharacteristic
915C22×D4C2414yes—
916C23×C4—24no—
917C23×C4—24no—
918C23×C4—24no—
919C23×C4—24no—
920C23×C4—24no—
921C23×C4—24no—
922C23×C4—42no—
923C23×C4—42no—
924C23×C4—42no—
925C23×C4C2411yescharacteristic
926C23×C4C2414yes—
927C23×C4C2414yes—
928C23×C4C2411yescharacteristic
929C23×C4C2412yes—
930C23×C4C2411yescharacteristic
931C23×C4C2411yescharacteristic
932C23×C4C2411yescharacteristic
933C23×C4C2411yescharacteristic
934C23×C4C2412yes—
935C23×C4C2412yes—
936C23×C4C2411yescharacteristic
937C23×C4C2411yescharacteristic
938C23×C4C2411yescharacteristic
939C23×C4C2411yescharacteristic
940C23×C4C2411yescharacteristic
941C23×C4C2411yescharacteristic
942C23×C4C2411yescharacteristic
943C23×C4C2412yes—
944C23×C4C2412yes—
945C23×C4C2411yescharacteristic
946C23×C4C2412yes—
947C23×C4C2412yes—
948C23×C4C2411yescharacteristic
949C23×C4C2412yes—
950C23×C4C2412yes—
951C23×C4C2412yes—
952C23×C4C2412yes—
953C23×C4C2414yes—
954C23×C4C2414yes—
955C23×C4C2412yes—
956C23×C4C2411yescharacteristic
957C23×C4C2412yes—
958C23×C4C2411yescharacteristic
959C23×C4C2411yescharacteristic
960C4⋊Q8—24no—
961C4⋊Q8—28no—
962C4⋊Q8—24no—
963C4⋊Q8—24no—
964#127—24no—
965#126—28no—
966#126—28no—
967#126—28no—
968#126—28no—
969#125—28no—
970#125—28no—
971#125—24no—
972#125—24no—
973#124—24no—
974#124—28no—
975#124—24no—
976#124—28no—
977#124—28no—
978#123—28no—
979#123—28no—
980#123—216no—
981#123—28no—
982#123—28no—
983#123—28no—
984#123—28no—
985#123—28no—
986#123—48no—
987#123—48no—
988C22⋊Q8—24no—
989C22⋊Q8—24no—
990C22⋊Q8—28no—
991C22⋊Q8—28no—
992C22⋊Q8—28no—
993C22⋊Q8—28no—
994C22⋊Q8—24no—
995C22⋊Q8—24no—
996C22⋊Q8—28no—
997C22⋊Q8—28no—
998C22⋊Q8—28no—
999C22⋊Q8—28no—
1000C22⋊Q8—28no—
1001C22⋊Q8—28no—
1002C22⋊Q8—24no—
1003C22⋊Q8—24no—
1004C22⋊Q8—28no—
1005C22⋊Q8—28no—
1006C22⋊Q8—48no—
1007#121—24no—
1008#121—24no—
1009#121—28no—
1010#121—28no—
1011#121—24no—
1012#121—24no—
1013#121—28no—
1014#121—216no—
1015#121—28no—
1016#121—24no—
1017#121—24no—
1018#121—28no—
1019#121—28no—
1020#121—48no—
1021#120—28no—
1022#120—28no—
1023#120—28no—
1024C4×Q8—28no—
1025C4×Q8—28no—
1026C4×Q8—216no—
1027C4×Q8—28no—
1028C4×Q8—216no—
1029C4×Q8—28no—
1030C4×Q8—24no—
1031C4×Q8—28no—
1032C4×Q8—216no—
1033C4×Q8—28no—
1034C4×Q8—28no—
1035C4×Q8—216no—
1036C4×Q8—28no—
1037C4×Q8—28no—
1038C4×Q8—24no—
1039C4×Q8—28no—
1040C4×Q8—28no—
1041C4×Q8—28no—
1042C4×Q8—28no—
1043C4×Q8—28no—
1044C4×Q8—24no—
1045C4×Q8—24no—
1046C4×Q8C2×D418yes—
1047C4×Q8C2×D418yes—
1048C4×D4—216no—
1049C4×D4—28no—
1050C4×D4—28no—
1051C4×D4—216no—
1052C4×D4—28no—
1053C4×D4—216no—
1054C4×D4—28no—
1055C4×D4—28no—
1056C4×D4—28no—
1057C4×D4—28no—
1058C4×D4—28no—
1059C4×D4—28no—
1060C4×D4—28no—
1061C4×D4—28no—
1062C4×D4—28no—
1063C4×D4—28no—
1064C4×D4—28no—
1065C4×D4—28no—
1066C4×D4—28no—
1067C4×D4—216no—
1068C4×D4—216no—
1069C4×D4—216no—
1070C4×D4—24no—
1071C4×D4—24no—
1072C4×D4—28no—
1073C4×D4—28no—
1074C4×D4—28no—
1075C4×D4—28no—
1076C4×D4—28no—
1077C4×D4—24no—
1078C4×D4—24no—
1079C4×D4—48no—
1080C4×D4—44no—
1081C4×D4—44no—
1082C4×D4—44no—
1083C4×D4C2×D4116yes—
1084C4×D4C2×D418yes—
1085C4×D4C2×D4116yes—
1086C4×D4C2×D418yes—
1087#117—28no—
1088#117—24no—
1089#117—24no—
1090#117—28no—
1091#117—28no—
1092#117—24no—
1093#117—24no—
1094#117—28no—
1095#117—216no—
1096#117—216no—
1097#117—216no—
1098#117—216no—
1099#117—28no—
1100#117—216no—
1101#117—28no—
1102#117—28no—
1103#117—28no—
1104#117—28no—
1105#117—28no—
1106#117—48no—
1107#117C2×D418yes—
1108#117C2×D4116yes—
1109C2×C4⋊C4—28no—
1110C2×C4⋊C4—216no—
1111C2×C4⋊C4—28no—
1112C2×C4⋊C4—24no—
1113C2×C4⋊C4—24no—
1114C2×C4⋊C4—28no—
1115C2×C4⋊C4—24no—
1116C2×C4⋊C4—28no—
1117C2×C4⋊C4—216no—
1118C2×C4⋊C4—44no—
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2411yescharacteristic
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2414yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2414yes—
1125C2×C4⋊C4C2414yes—
1126C2×C4⋊C4C2414yes—
1127C2×C4⋊C4C2414yes—
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2414yes—
1133C2×C4⋊C4C2414yes—
1134C2×C4⋊C4C2414yes—
1135C2×C4⋊C4C2411yescharacteristic
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2414yes—
1138C2×C4⋊C4C2411yescharacteristic
1139C2×C4⋊C4C2411yescharacteristic
1140C2×C4⋊C4C2412yes—
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2412yes—
1143C2×C4⋊C4C2412yes—
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2412yes—
1147C2×C4⋊C4C2412yes—
1148C2×C4⋊C4C2412yes—
1149C2×C4⋊C4C2412yes—
1150C2×C4⋊C4C2412yes—
1151C2×C4⋊C4C2412yes—
1152C2×C4⋊C4C2412yes—
1153C2×C4⋊C4C2412yes—
1154C2×C4⋊C4C2411yescharacteristic
1155C2×C4⋊C4C2411yescharacteristic
1156C2×C4⋊C4C2411yescharacteristic
1157C2×C4⋊C4C2411yescharacteristic
1158C2×C4⋊C4C2412yes—
1159C2×C4⋊C4C2412yes—
1160C2×C4⋊C4C2412yes—
1161C2×C4⋊C4C2412yes—
1162C2×C4⋊C4C2414yes—
1163C2×C4⋊C4C2414yes—
1164C2×C4⋊C4C2414yes—
1165C2×C4⋊C4C2414yes—
1166C2×C4⋊C4C2414yes—
1167C2×C4⋊C4C2414yes—
1168C2×C4⋊C4C2412yes—
1169C2×C4⋊C4C2412yes—
1170C2×C4⋊C4C2414yes—
1171C2×C4⋊C4C2414yes—
1172C2×C4⋊C4C2414yes—
1173C2×C4⋊C4C2414yes—
1174C2×C4⋊C4C2414yes—
1175C2×C4⋊C4C2414yes—
1176C2×C4⋊C4C2411yescharacteristic
1177C2×C4⋊C4C2412yes—
1178C2×C4⋊C4C2411yescharacteristic
1179C2×C4⋊C4C2412yes—
1180C2×C22⋊C4—28no—
1181C2×C22⋊C4—44no—
1182C2×C22⋊C4C2414yes—
1183C2×C22⋊C4C2414yes—
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2414yes—
1189C2×C22⋊C4C2414yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2412yes—
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2412yes—
1210C2×C22⋊C4C2412yes—
1211C2×C22⋊C4C2412yes—
1212C2×C22⋊C4C2412yes—
1213C2×C22⋊C4C2412yes—
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2414yes—
1216C2×C22⋊C4C2414yes—
1217C2×C22⋊C4C2414yes—
1218C2×C22⋊C4C2414yes—
1219C2×C22⋊C4C2414yes—
1220C2×C22⋊C4C2414yes—
1221C2×C22⋊C4C2414yes—
1222C2×C22⋊C4C2412yes—
1223C2×C22⋊C4C2412yes—
1224C2×C22⋊C4C2412yes—
1225C2×C22⋊C4C2412yes—
1226C2×C22⋊C4C2414yes—
1227C2×C22⋊C4C2414yes—
1228C2×C22⋊C4C2414yes—
1229C2×C22⋊C4C2414yes—
1230C2×C22⋊C4C2414yes—
1231C2×C22⋊C4C2414yes—
1232C2×C22⋊C4C2414yes—
1233C2×C22⋊C4C2414yes—
1234C2×C22⋊C4C2412yes—
1235C2×C22⋊C4C2412yes—
1236C2×C22⋊C4C2412yes—
1237C2×C42—28no—
1238C2×C42—216no—
1239C2×C42—24no—
1240C2×C42—24no—
1241C2×C42—24no—
1242C2×C42—28no—
1243C2×C42—216no—
1244C2×C42—28no—
1245C2×C42—24no—
1246C2×C42—24no—
1247C2×C42—24no—
1248C2×C42—24no—
1249C2×C42—24no—
1250C2×C42—24no—
1251C2×C42—24no—
1252C2×C42—24no—
1253C2×C42—44no—
1254C2×C42C2×D4116yes—
1255C2×C42C2×D418yes—
1256C2×C42C2411yescharacteristic
1257C2×C42C2412yes—
1258C2×C42C2412yes—
1259C2×C42C2412yes—
1260C2×C42C2414yes—
1261C2×C42C2412yes—
1262C2×C42C2414yes—
1263C2×C42C2414yes—
1264C2×C42C2414yes—
1265C2×C42C2414yes—
1266C2×C42C2412yes—
1267C2×C42C2412yes—
1268C2×C42C2411yescharacteristic
1269C2×C42C2411yescharacteristic
1270C2×C42C2411yescharacteristic
1271C2×C42C2411yescharacteristic
1272C2×C42C2411yescharacteristic
1273C2×C42C2411yescharacteristic
1274C2×C42C2411yescharacteristic
1275C2×C42C2411yescharacteristic
1276C2×C42C2411yescharacteristic
1277C2×C42C2411yescharacteristic
1278C2×C42C2412yes—
1279C2×C42C2412yes—
1280C2×C42C2414yes—
1281C2×C42C2411yescharacteristic
1282C2×C42C2414yes—
1283C2×C42C2412yes—
1284C2×C42C2412yes—
1285C2×C42C2412yes—
1286C2×C42C2412yes—
1287C2×C42C2414yes—
1288C2×C42C2412yes—
1289C2×C42C2411yescharacteristic
1290C2×C42C2412yes—
1291C2×C42C2411yescharacteristic
1292C2×C42C2412yes—
1293C2×C42C2411yescharacteristic
1294C2×C42C2411yescharacteristic
1295#95C2414yes—
1296#95C2414yes—
1297#95C2414yes—
1298#95C2414yes—
1299#95C2414yes—
1300#95C2414yes—
1301#95C2414yes—
1302#95C2414yes—
1303#95C2414yes—
1304#95C2414yes—
1305#95C2412yes—
1306#95C2412yes—
1307#95C2412yes—
1308#95C2412yes—
1309#95C2414yes—
1310#95C2414yes—
1311#95C2414yes—
1312#95C2414yes—
1313#95C2412yes—
1314#95C2412yes—
1315#95C2412yes—
1316#95C2412yes—
1317#95C2412yes—
1318#95C2412yes—
1319#95C2412yes—
1320#95C2412yes—
1321#95C2412yes—
1322#95C2412yes—
1323#95C2412yes—
1324#95C2412yes—
1325#95C2414yes—
1326#95C2414yes—
1327#95C2414yes—
1328#95C2414yes—
1329#95C2414yes—
1330#95C2414yes—
1331#95C2414yes—
1332#95C2414yes—
1333#95C2414yes—
1334#95C2414yes—
1335#95C2414yes—
1336#95C2414yes—
1337#95C2414yes—
1338#95C2414yes—
1339#95C2414yes—
1340#95C2414yes—
1341#95C2414yes—
1342#95C2414yes—
1343C24—22no—
1344C24—22no—
1345C24—22no—
1346C24—22no—
1347C24—22no—
1348C24—41no—
1349C24—41no—
1350C24C2512yes—
1351C24C2512yes—
1352C24C2512yes—
1353C24C2511yescharacteristic
1354C24C2511yescharacteristic
1355C24C2511yescharacteristic
1356#41—2128no—
1357#41—264no—
1358#41—264no—
1359#41—232no—
1360#41—232no—
1361#41—432no—
1362#41—432no—
1363#41—416no—
1364C2×Q8—264no—
1365C2×Q8—264no—
1366C2×Q8—232no—
1367C2×Q8—28no—
1368C2×Q8—22no—
1369C2×Q8—24no—
1370C2×Q8—24no—
1371C2×Q8—24no—
1372C2×Q8—24no—
1373C2×Q8—22no—
1374C2×Q8—28no—
1375C2×Q8—28no—
1376C2×Q8—22no—
1377C2×Q8—22no—
1378C2×Q8—24no—
1379C2×Q8—22no—
1380C2×Q8—24no—
1381C2×Q8—22no—
1382C2×Q8—22no—
1383C2×Q8—24no—
1384C2×Q8—24no—
1385C2×Q8—42no—
1386C2×Q8—42no—
1387C2×Q8C22×D414yes—
1388C2×Q8C2×#4114yes—
1389C2×Q8C2×#4118yes—
1390C2×Q8C2×#4118yes—
1391C2×D4—28no—
1392C2×D4—24no—
1393C2×D4—28no—
1394C2×D4—24no—
1395C2×D4—24no—
1396C2×D4—24no—
1397C2×D4—24no—
1398C2×D4—24no—
1399C2×D4—24no—
1400C2×D4—24no—
1401C2×D4—24no—
1402C2×D4—24no—
1403C2×D4—24no—
1404C2×D4—24no—
1405C2×D4—24no—
1406C2×D4—24no—
1407C2×D4—24no—
1408C2×D4—24no—
1409C2×D4—24no—
1410C2×D4—24no—
1411C2×D4—24no—
1412C2×D4—28no—
1413C2×D4—22no—
1414C2×D4—24no—
1415C2×D4—24no—
1416C2×D4—22no—
1417C2×D4—28no—
1418C2×D4—22no—
1419C2×D4—22no—
1420C2×D4—22no—
1421C2×D4—22no—
1422C2×D4—22no—
1423C2×D4—24no—
1424C2×D4—24no—
1425C2×D4—42no—
1426C2×D4—42no—
1427C2×D4—42no—
1428C2×D4—42no—
1429C2×D4—42no—
1430C2×D4—42no—
1431C2×D4—42no—
1432C2×D4—42no—
1433C2×D4—44no—
1434C2×D4—44no—
1435C2×D4C22×D418yes—
1436C2×D4C22×D414yes—
1437C2×D4C2×#4118yes—
1438C2×D4C2×#4114yes—
1439C22×C4—28no—
1440C22×C4—24no—
1441C22×C4—28no—
1442C22×C4—24no—
1443C22×C4—22no—
1444C22×C4—22no—
1445C22×C4—22no—
1446C22×C4—28no—
1447C22×C4—24no—
1448C22×C4—28no—
1449C22×C4—28no—
1450C22×C4—28no—
1451C22×C4—24no—
1452C22×C4—24no—
1453C22×C4—24no—
1454C22×C4—22no—
1455C22×C4—24no—
1456C22×C4—22no—
1457C22×C4—24no—
1458C22×C4—22no—
1459C22×C4—22no—
1460C22×C4—22no—
1461C22×C4—22no—
1462C22×C4—22no—
1463C22×C4—24no—
1464C22×C4—22no—
1465C22×C4—22no—
1466C22×C4—22no—
1467C22×C4—22no—
1468C22×C4—28no—
1469C22×C4—24no—
1470C22×C4—24no—
1471C22×C4—24no—
1472C22×C4—22no—
1473C22×C4—22no—
1474C22×C4—22no—
1475C22×C4—22no—
1476C22×C4—22no—
1477C22×C4—22no—
1478C22×C4—22no—
1479C22×C4—22no—
1480C22×C4—22no—
1481C22×C4—22no—
1482C22×C4—24no—
1483C22×C4—24no—
1484C22×C4—24no—
1485C22×C4—22no—
1486C22×C4—22no—
1487C22×C4—22no—
1488C22×C4—22no—
1489C22×C4—24no—
1490C22×C4—22no—
1491C22×C4—22no—
1492C22×C4—22no—
1493C22×C4—22no—
1494C22×C4—24no—
1495C22×C4—24no—
1496C22×C4—22no—
1497C22×C4—22no—
1498C22×C4—22no—
1499C22×C4—24no—
1500C22×C4—22no—
1501C22×C4—24no—
1502C22×C4—22no—
1503C22×C4—22no—
1504C22×C4—24no—
1505C22×C4—24no—
1506C22×C4—28no—
1507C22×C4—42no—
1508C22×C4—42no—
1509C22×C4—41no—
1510C22×C4—41no—
1511C22×C4—41no—
1512C22×C4—41no—
1513C22×C4—41no—
1514C22×C4—41no—
1515C22×C4—41no—
1516C22×C4—41no—
1517C22×C4—41no—
1518C22×C4—41no—
1519C22×C4—42no—
1520C22×C4—42no—
1521C22×C4—42no—
1522C22×C4—42no—
1523C22×C4—416no—
1524C22×C4—42no—
1525C22×C4—42no—
1526C22×C4—42no—
1527C22×C4—42no—
1528C22×C4—42no—
1529C22×C4—42no—
1530C22×C4—44no—
1531C22×C4—44no—
1532C22×C4—44no—
1533C22×C4—44no—
1534C22×C4—416no—
1535C22×C4—416no—
1536C22×C4C22×D414yes—
1537C22×C4C22×D418yes—
1538C22×C4C22×D418yes—
1539C22×C4C22×D414yes—
1540C22×C4C22×D418yes—
1541C22×C4C22×D414yes—
1542C22×C4C2×#4118yes—
1543C22×C4C2×#4118yes—
1544C22×C4C2×#4114yes—
1545C22×C4C2×#4114yes—
1546C22×C42−1+414yescomplemented
1547C22×C4C2512yes—
1548C22×C4C2512yes—
1549C22×C4C2514yes—
1550C22×C4C2511yescharacteristic
1551C22×C4C2512yes—
1552C22×C4C2514yes—
1553C22×C4C2512yes—
1554C22×C4C2512yes—
1555C22×C4C2512yes—
1556C22×C4C2511yescharacteristic
1557C22×C4C2511yescharacteristic
1558C22×C4C2511yescharacteristic
1559C22×C4C2514yes—
1560C22×C4C2512yes—
1561C22×C4C2512yes—
1562C22×C4C2512yes—
1563C22×C4C2511yescharacteristic
1564C22×C4C2512yes—
1565C22×C4C2511yescharacteristic
1566C22×C4C2511yescharacteristic
1567C22×C4C2512yes—
1568C22×C4C2512yes—
1569C22×C4C2514yes—
1570C22×C4C2512yes—
1571C22×C4C2511yescharacteristic
1572C22×C4C2511yescharacteristic
1573C22×C4C2511yescharacteristic
1574C22×C4C2511yescharacteristic
1575C22×C4C2511yescharacteristic
1576C4⋊C4—28no—
1577C4⋊C4—24no—
1578C4⋊C4—28no—
1579C4⋊C4—28no—
1580C4⋊C4—28no—
1581C4⋊C4—28no—
1582C4⋊C4—22no—
1583C4⋊C4—24no—
1584C4⋊C4—24no—
1585C4⋊C4—24no—
1586C4⋊C4—28no—
1587C4⋊C4—22no—
1588C4⋊C4—24no—
1589C4⋊C4—24no—
1590C4⋊C4—24no—
1591C4⋊C4—24no—
1592C4⋊C4—22no—
1593C4⋊C4—22no—
1594C4⋊C4—24no—
1595C4⋊C4—24no—
1596C4⋊C4—24no—
1597C4⋊C4—24no—
1598C4⋊C4—24no—
1599C4⋊C4—24no—
1600C4⋊C4—24no—
1601C4⋊C4—24no—
1602C4⋊C4—24no—
1603C4⋊C4—24no—
1604C4⋊C4—24no—
1605C4⋊C4—24no—
1606C4⋊C4—24no—
1607C4⋊C4—24no—
1608C4⋊C4—28no—
1609C4⋊C4—28no—
1610C4⋊C4—22no—
1611C4⋊C4—22no—
1612C4⋊C4—22no—
1613C4⋊C4—22no—
1614C4⋊C4—24no—
1615C4⋊C4—24no—
1616C4⋊C4—28no—
1617C4⋊C4—28no—
1618C4⋊C4—28no—
1619C4⋊C4—24no—
1620C4⋊C4—28no—
1621C4⋊C4—24no—
1622C4⋊C4—44no—
1623C4⋊C4—44no—
1624C4⋊C4—44no—
1625C4⋊C4—44no—
1626C4⋊C4—42no—
1627C4⋊C4—42no—
1628C4⋊C4—44no—
1629C4⋊C4—44no—
1630C4⋊C4—44no—
1631C4⋊C4—44no—
1632C4⋊C4—44no—
1633C4⋊C4C22×D414yes—
1634C4⋊C4C22×D418yes—
1635C4⋊C4C22×D414yes—
1636C4⋊C4C22×D418yes—
1637C22⋊C4—28no—
1638C22⋊C4—24no—
1639C22⋊C4—24no—
1640C22⋊C4—24no—
1641C22⋊C4—24no—
1642C22⋊C4—24no—
1643C22⋊C4—24no—
1644C22⋊C4—24no—
1645C22⋊C4—24no—
1646C22⋊C4—24no—
1647C22⋊C4—24no—
1648C22⋊C4—28no—
1649C22⋊C4—24no—
1650C22⋊C4—28no—
1651C22⋊C4—24no—
1652C22⋊C4—24no—
1653C22⋊C4—24no—
1654C22⋊C4—28no—
1655C22⋊C4—24no—
1656C22⋊C4—24no—
1657C22⋊C4—24no—
1658C22⋊C4—24no—
1659C22⋊C4—24no—
1660C22⋊C4—24no—
1661C22⋊C4—24no—
1662C22⋊C4—24no—
1663C22⋊C4—24no—
1664C22⋊C4—24no—
1665C22⋊C4—28no—
1666C22⋊C4—28no—
1667C22⋊C4—24no—
1668C22⋊C4—24no—
1669C22⋊C4—28no—
1670C22⋊C4—28no—
1671C22⋊C4—28no—
1672C22⋊C4—24no—
1673C22⋊C4—24no—
1674C22⋊C4—44no—
1675C22⋊C4—44no—
1676C22⋊C4—44no—
1677C22⋊C4—44no—
1678C22⋊C4—44no—
1679C22⋊C4—42no—
1680C22⋊C4—42no—
1681C22⋊C4—42no—
1682C22⋊C4—42no—
1683C22⋊C4—44no—
1684C22⋊C4—44no—
1685C22⋊C4—44no—
1686C22⋊C4—44no—
1687C22⋊C4—44no—
1688C22⋊C4—44no—
1689C22⋊C4C22×D418yes—
1690C22⋊C4C22×D418yes—
1691C22⋊C4C22×D418yes—
1692C42—22no—
1693C42—22no—
1694C42—22no—
1695C42—22no—
1696C42—22no—
1697C42—22no—
1698C42—28no—
1699C42—24no—
1700C42—22no—
1701C42—22no—
1702C42—22no—
1703C42—22no—
1704C42—22no—
1705C42—22no—
1706C42—24no—
1707C42—24no—
1708C42—24no—
1709C42—24no—
1710C42—28no—
1711C42—28no—
1712C42—28no—
1713C42—28no—
1714C42—28no—
1715C42—24no—
1716C42—24no—
1717C42—24no—
1718C42—24no—
1719C42—28no—
1720C42—24no—
1721C42—44no—
1722C42—42no—
1723C42—42no—
1724C42C22×D414yes—
1725C42C22×D414yes—
1726C42C22×D414yes—
1727C42C22×D414yes—
1728C42C22×D418yes—
1729C42C22×D418yes—
1730C42C22×D418yes—
1731C23—21no—
1732C23—21no—
1733C23—21no—
1734C23—21no—
1735C23—28no—
1736C23—22no—
1737C23—21no—
1738C23—21no—
1739C23—21no—
1740C23—21no—
1741C23—21no—
1742C23—21no—
1743C23—22no—
1744C23—22no—
1745C23—22no—
1746C23—22no—
1747C23—21no—
1748C23—22no—
1749C23—22no—
1750C23—22no—
1751C23—21no—
1752C23—22no—
1753C23—21no—
1754C23—21no—
1755C23—22no—
1756C23—22no—
1757C23—22no—
1758C23—21no—
1759C23—21no—
1760C23—22no—
1761C23—22no—
1762C23—22no—
1763C23—22no—
1764C23—22no—
1765C23—22no—
1766C23—22no—
1767C23—44no—
1768C23—44no—
1769C23—44no—
1770C23—44no—
1771C23—44no—
1772C23—44no—
1773C23C23×D414yes—
1774C23C23×D412yes—
1775C23C22×#4114yes—
1776C23C22×#4112yes—
1777C23C22×#4112yes—
1778C23C2×2−1+412yes—
1779C23#58512yes—
1780C23C2611yescharacteristic
1781Q8—232no—
1782Q8—28no—
1783Q8—28no—
1784Q8—216no—
1785Q8—216no—
1786Q8—48no—
1787Q8—48no—
1788Q8—44no—
1789D4—232no—
1790D4—216no—
1791D4—216no—
1792D4—28no—
1793D4—28no—
1794D4—48no—
1795D4—48no—
1796D4—48no—
1797D4—48no—
1798D4—48no—
1799D4—48no—
1800D4—48no—
1801D4—48no—
1802D4—48no—
1803D4—44no—
1804D4—88no—
1805C2×C4—28no—
1806C2×C4—232no—
1807C2×C4—232no—
1808C2×C4—21no—
1809C2×C4—21no—
1810C2×C4—24no—
1811C2×C4—22no—
1812C2×C4—22no—
1813C2×C4—22no—
1814C2×C4—22no—
1815C2×C4—24no—
1816C2×C4—21no—
1817C2×C4—22no—
1818C2×C4—21no—
1819C2×C4—21no—
1820C2×C4—21no—
1821C2×C4—22no—
1822C2×C4—22no—
1823C2×C4—22no—
1824C2×C4—21no—
1825C2×C4—21no—
1826C2×C4—21no—
1827C2×C4—21no—
1828C2×C4—216no—
1829C2×C4—216no—
1830C2×C4—216no—
1831C2×C4—28no—
1832C2×C4—28no—
1833C2×C4—216no—
1834C2×C4—22no—
1835C2×C4—21no—
1836C2×C4—21no—
1837C2×C4—21no—
1838C2×C4—21no—
1839C2×C4—24no—
1840C2×C4—22no—
1841C2×C4—22no—
1842C2×C4—22no—
1843C2×C4—22no—
1844C2×C4—22no—
1845C2×C4—22no—
1846C2×C4—22no—
1847C2×C4—22no—
1848C2×C4—24no—
1849C2×C4—24no—
1850C2×C4—21no—
1851C2×C4—21no—
1852C2×C4—22no—
1853C2×C4—21no—
1854C2×C4—21no—
1855C2×C4—22no—
1856C2×C4—22no—
1857C2×C4—22no—
1858C2×C4—22no—
1859C2×C4—21no—
1860C2×C4—22no—
1861C2×C4—24no—
1862C2×C4—24no—
1863C2×C4—22no—
1864C2×C4—22no—
1865C2×C4—22no—
1866C2×C4—22no—
1867C2×C4—22no—
1868C2×C4—22no—
1869C2×C4—24no—
1870C2×C4—24no—
1871C2×C4—22no—
1872C2×C4—24no—
1873C2×C4—22no—
1874C2×C4—22no—
1875C2×C4—21no—
1876C2×C4—21no—
1877C2×C4—22no—
1878C2×C4—22no—
1879C2×C4—24no—
1880C2×C4—21no—
1881C2×C4—22no—
1882C2×C4—44no—
1883C2×C4—48no—
1884C2×C4—44no—
1885C2×C4—44no—
1886C2×C4—44no—
1887C2×C4—44no—
1888C2×C4—44no—
1889C2×C4—44no—
1890C2×C4—44no—
1891C2×C4—48no—
1892C2×C4—48no—
1893C2×C4—44no—
1894C2×C4—44no—
1895C2×C4—44no—
1896C2×C4—44no—
1897C2×C4—44no—
1898C2×C4—48no—
1899C2×C4—48no—
1900C2×C4—44no—
1901C2×C4—48no—
1902C2×C4—84no—
1903C2×C4—88no—
1904C2×C4—84no—
1905C2×C4—84no—
1906C2×C4—88no—
1907C2×C4#525116yes—
1908C2×C4C23×D412yes—
1909C2×C4C23×D412yes—
1910C2×C4C23×D414yes—
1911C2×C4C23×D412yes—
1912C2×C4C23×D414yes—
1913C2×C4C23×D414yes—
1914C2×C4C23×D412yes—
1915C2×C4C23×D412yes—
1916C2×C4C23×D412yes—
1917C2×C4C22×#4118yes—
1918C2×C4C22×#4114yes—
1919C2×C4C22×#4112yes—
1920C2×C4C22×#4112yes—
1921C2×C4C22×#4112yes—
1922C2×C4C22×#4112yes—
1923C2×C4C2×2−1+412yes—
1924C2×C4C2×2−1+412yes—
1925C2×C4#58512yes—
1926C2×C4#58512yes—
1927C22—22no—
1928C22—22no—
1929C22—22no—
1930C22—22no—
1931C22—22no—
1932C22—22no—
1933C22—22no—
1934C22—22no—
1935C22—22no—
1936C22—24no—
1937C22—22no—
1938C22—24no—
1939C22—22no—
1940C22—24no—
1941C22—22no—
1942C22—24no—
1943C22—24no—
1944C22—24no—
1945C22—416no—
1946C22—42no—
1947C22—42no—
1948C22—42no—
1949C22—42no—
1950C22—41no—
1951C22—41no—
1952C22—41no—
1953C22—42no—
1954C22—42no—
1955C22—41no—
1956C22—42no—
1957C22—41no—
1958C22—41no—
1959C22—42no—
1960C22—41no—
1961C22—41no—
1962C22—42no—
1963C22—42no—
1964C22—42no—
1965C22—42no—
1966C22—42no—
1967C22—42no—
1968C22—42no—
1969C22C2×#52514yes—
1970C22C24×D411yescharacteristic
1971C22C23×#4111yescharacteristic
1972C22C23×#4111yescharacteristic
1973C22C22×2−1+411yescharacteristic
1974C22C2×#58511yescharacteristic
1975C22C2×#58511yescharacteristic
1976C22C2×#58511yescharacteristic
1977C4—22no—
1978C4—22no—
1979C4—24no—
1980C4—22no—
1981C4—22no—
1982C4—22no—
1983C4—24no—
1984C4—24no—
1985C4—28no—
1986C4—24no—
1987C4—42no—
1988C4—42no—
1989C4—44no—
1990C4—42no—
1991C4—41no—
1992C4—42no—
1993C4—42no—
1994C4—44no—
1995C4—42no—
1996C4—41no—
1997C4—42no—
1998C4—44no—
1999C4—42no—
2000C4—41no—
2001C4—41no—
2002C4—42no—
2003C4C2×#52514yes—
2004C4C2×#52514yes—
2005C4#348914yes—
2006C2—24no—
2007C2—44no—
2008C2—44no—
2009C2—42no—
2010C2—42no—
2011C2—82no—
2012C2C22×#52511yescharacteristic
2013C2#6278811yescharacteristic
2014C2#6279311yescharacteristic
2015C2C2×#348911yescharacteristic
2016C2#6280511yescharacteristic
2017C2#6281011yescharacteristic
2018C2#6281111yescharacteristic
subgroupG/H
centerC22×C4C25
commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C22×C4 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3444C2semidirect
2. C2×C4×2−1+4C2semidirect
3. #35665C2semidirect
4. #35664C2semidirect
5. #35663C2semidirect
6. #35663C2semidirect
7. #35662C2semidirect
8. #35661C2semidirect
9. #35660C2semidirect
10. #35659C2semidirect
11. #35654C2semidirect
12. #35600C2semidirect
13. #35521C2semidirect
14. #35520C2semidirect
15. #35519C2semidirect
16. #35518C2semidirect
17. #35517C2semidirect
18. #35516C2semidirect
19. #35450C2semidirect
20. #35353C2semidirect
21. #34976C2semidirect
22. #34971C2semidirect
23. #34952C2semidirect
24. #34909C2semidirect
25. #34735C2semidirect
26. #34732C2semidirect
27. #34724C2semidirect
28. #34715C2semidirect
29. #34708C2semidirect
30. #34691C2semidirect
31. C4×#537C2semidirect
32. C4×#536C2semidirect
33. #34060C2semidirect
34. C4×#525C2semidirect
35. C2×C4×C22⋊Q8C2semidirect
64. C2×#520C22semidirect
65. C2×#520C22semidirect
67. C2×#519C22semidirect
68. C2×#519C22semidirect
75. C2×C4×#41C22semidirect
76. C2×C4×#41C22semidirect
78. C22×C4×Q8C22semidirect
79. C22×C4×Q8C22semidirect
82. #2609C22semidirect
84. #2600C22semidirect
86. #2599C22semidirect
87. #2599C22semidirect
89. #2582C22semidirect
90. #2582C22semidirect
91. #2582C22semidirect
92. #2581C22semidirect
93. #2581C22semidirect
94. #2581C22semidirect
95. #2581C22semidirect
97. #2580C22semidirect
99. #2579C22semidirect
103. #2538C22semidirect
110. #2487C22semidirect
112. #2486C22semidirect
115. #2485C22semidirect
116. #2485C22semidirect
117. #2485C22semidirect
118. #2484C22semidirect
119. #2481C22semidirect
120. #2479C22semidirect
121. #2478C22semidirect
122. #2478C22semidirect
126. #2475C22semidirect
127. #2474C22semidirect
128. #2474C22semidirect
129. #2473C22semidirect
133. #2469C22semidirect
134. #2469C22semidirect
135. #2468C22semidirect
136. #2466C22semidirect
140. #2462C22semidirect
141. #2462C22semidirect
142. #2461C22semidirect
143. #2459C22semidirect
149. #2453C22semidirect
150. #2453C22semidirect
151. #2451C22semidirect
152. #2451C22semidirect
156. #2448C22semidirect
157. #2447C22semidirect
158. #2446C22semidirect
159. #2445C22semidirect
163. #2442C22semidirect
164. #2441C22semidirect
165. #2440C22semidirect
166. #2439C22semidirect
169. #2436C22semidirect
170. #2434C22semidirect
171. #2432C22semidirect
172. #2431C22semidirect
197. #2409C22semidirect
198. #2409C22semidirect
204. #2407C22semidirect
205. #2407C22semidirect
209. #2399C22semidirect
212. #2396C22semidirect
213. #2395C22semidirect
215. #2392C22semidirect
217. #2327C22semidirect
218. #2326C22semidirect
220. #2324C22semidirect
221. #2324C22semidirect
222. #2323C22semidirect
223. #2323C22semidirect
224. #2323C22semidirect
225. #2323C22semidirect
227. #2320C22semidirect
228. #2319C22semidirect
234. #2314C22semidirect
235. #2314C22semidirect
242. C4×C4⋊Q8C22semidirect
243. C4×#124C22semidirect
256. C4×C22⋊Q8C22semidirect
257. C4×C22⋊Q8C22semidirect
258. C4×C22⋊Q8C22semidirect
259. C4×C22⋊Q8C22semidirect
260. C4×C22⋊Q8C22semidirect
265. C4×#123C22semidirect
272. C4×#121C22semidirect
273. C4×#121C22semidirect
279. #2296C22semidirect
280. #2295C22semidirect
282. #2293C22semidirect
288. #2290C22semidirect
291. #2285C22semidirect
292. #2283C22semidirect
419. C4×#41D4semidirect
882. C2×#41#41semidirect
891. C22×Q8#41semidirect
1546. C22×C42−1+4semidirect

Maximal subgroups

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

subgroupindex
C2×#34442
C2×C4×2−1+42
#356652
#356642
#356632
#356622
#356612
#356602
#356592
#356542
#356002
#355212
#355202
#355192
#355182
#355172
#355162
#354502
#353532
#349762
#349712
#349522
#349092
#347352
#347322
#347242
#347152
#347082
#346912
C4×#5372
C4×#5362
#340602
C4×#5252
C2×C4×C22⋊Q82