Finite Group Databasebeta

← #7986702

Subgroups — #7986702

Order 512.

7688 conjugacy classes of subgroups.

The subgroup lattice has 1986 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3548C211yesmaximal, characteristic, complemented
2C22×#554C211yesmaximal, characteristic, complemented
3#59823C211yesmaximal, characteristic, complemented
4#59155C212yesmaximal, complemented
5#59136C211yesmaximal, characteristic, complemented
6#59057C211yesmaximal, characteristic, complemented
7#59002C212yesmaximal, complemented
8#51888C214yesmaximal, complemented
9#51777C214yesmaximal, complemented
10#45445C214yesmaximal, complemented
11#45034C212yesmaximal, complemented
12#44996C212yesmaximal, complemented
13#44948C212yesmaximal, complemented
14#44915C212yesmaximal, complemented
15#42479C212yesmaximal, complemented
16#42477C212yesmaximal, complemented
17#42439C212yesmaximal, complemented
18#42434C212yesmaximal, complemented
19#39598C211yesmaximal, characteristic, complemented
20#39470C211yesmaximal, characteristic, complemented
21#39169C211yesmaximal, characteristic, complemented
22#38952C211yesmaximal, characteristic, complemented
23#37706C212yesmaximal, complemented
24#37649C214yesmaximal, complemented
25#37649C212yesmaximal, complemented
26#36576C211yesmaximal, characteristic, complemented
27#36122C211yesmaximal, characteristic, complemented
28#36103C212yesmaximal, complemented
29#36101C211yesmaximal, characteristic, complemented
30#36101C212yesmaximal, complemented
31#35226C212yesmaximal, complemented
32#35223C212yesmaximal, complemented
33#34691C211yesmaximal, characteristic, complemented
34#34681C211yesmaximal, characteristic, complemented
35#34484C211yesmaximal, characteristic, complemented
36#3548—216no—
37C2×#562C2214yescomplemented
38C2×#554—216no—
39C2×#554C2211yescharacteristic
40C2×#554C2211yescharacteristic
41C2×#554C2214yes—
42C2×#554C2212yes—
43C2×#554C2212yes—
44C2×#554C2211yescharacteristic
45C2×#554C2212yes—
46C2×#554C2212yes—
47C2×#554C2211yescharacteristic
48C2×#554C2211yescharacteristic, complemented
49C2×#554C2212yescomplemented
50C2×#550C2211yescharacteristic
51C2×#550C2212yes—
52C2×#550C2211yescharacteristic, complemented
53C2×#548C2212yes—
54C2×#548C2212yes—
55C2×#547C2212yescomplemented
56C2×#547C2212yescomplemented
57C2×#540C2212yes—
58C2×#540C2212yescomplemented
59C2×#537C2212yescomplemented
60C2×#537C2214yescomplemented
61C2×#537C2212yescomplemented
62C2×#533C2211yescharacteristic, complemented
63C2×#532C2211yescharacteristic
64C2×#532C2211yescharacteristic, complemented
65C22×C4⋊Q8C2211yescharacteristic
66C22×#125C2212yes—
67C2×#525C2214yes—
68C2×#525C2212yes—
69C2×#525C2212yes—
70C22×C22⋊Q8C2212yes—
71C22×C22⋊Q8C2214yes—
72C22×C4×Q8C2211yescharacteristic
73C22×C4×D4C2211yescharacteristic
74C22×C4×D4C2212yes—
75C23×C4⋊C4C2212yes—
76#2858C2211yescharacteristic, complemented
77#2857C2211yescharacteristic, complemented
78#2856C2211yescharacteristic
79#2856C2212yes—
80#2849C2214yes—
81#2847C2212yes—
82#2847C2214yes—
83#2847C2214yes—
84#2816C2214yescomplemented
85#2814C2214yescomplemented
86#2732C2214yescomplemented
87#2730C2214yescomplemented
88#2729C2214yescomplemented
89#2720C2214yescomplemented
90#2711C2214yescomplemented
91#2711C2214yescomplemented
92#2707C2214yescomplemented
93#2707C2214yescomplemented
94#2704C2214yescomplemented
95#2704C2214yescomplemented
96#2700C2214yescomplemented
97#2696C2214yescomplemented
98#2692C2214yescomplemented
99#2692C2214yescomplemented
100#2687C2214yescomplemented
101#2683C2214yescomplemented
102#2683C2214yescomplemented
103#2683C2214yescomplemented
104#2681C2214yescomplemented
105#2681C2214yescomplemented
106#2681C2214yescomplemented
107#2681C2214yescomplemented
108#2681C2214yescomplemented
109#2680C2214yescomplemented
110#2676C2214yescomplemented
111#2676C2214yescomplemented
112#2676C2214yescomplemented
113#2676C2214yescomplemented
114#2672C2214yescomplemented
115#2672C2214yescomplemented
116#2672C2214yescomplemented
117#2672C2214yescomplemented
118#2672C2214yescomplemented
119#2641C2212yescomplemented
120#2635C2214yes—
121#2630C2214yes—
122#2629C2212yescomplemented
123#2620C2212yescomplemented
124#2620C2214yescomplemented
125#2618C2214yescomplemented
126#2618C2214yescomplemented
127#2616C2212yescomplemented
128#2616C2214yescomplemented
129#2584C2212yescomplemented
130#2567C2211yescharacteristic, complemented
131#2566C2212yescomplemented
132#2563C2211yescharacteristic, complemented
133#2556C2214yescomplemented
134#2552C2212yescomplemented
135#2550C2212yescomplemented
136#2550C2212yescomplemented
137#2548C2211yescharacteristic, complemented
138#2548C2212yescomplemented
139#2545C2212yescomplemented
140#2542C2212yescomplemented
141#2541C2211yescharacteristic
142#2541C2212yes—
143#2540C2214yescomplemented
144#2540C2212yescomplemented
145#2538C2212yes—
146#2538C2211yescharacteristic
147#2538C2214yescomplemented
148#2538C2212yescomplemented
149#2538C2211yescharacteristic, complemented
150#2538C2212yescomplemented
151#2501C2212yescomplemented
152#2492C2212yescomplemented
153#2491C2212yescomplemented
154#2491C2212yescomplemented
155#2490C2212yescomplemented
156#2490C2212yescomplemented
157#2486C2212yescomplemented
158#2473C2212yes—
159#2473C2214yescomplemented
160#2472C2212yes—
161#2465C2212yescomplemented
162#2464C2214yes—
163#2464C2212yes—
164#2462C2212yescomplemented
165#2461C2212yes—
166#2461C2214yescomplemented
167#2457C2214yes—
168#2456C2214yes—
169#2456C2214yes—
170#2456C2214yes—
171#2454C2212yes—
172#2454C2212yescomplemented
173#2454C2212yescomplemented
174#2454C2212yescomplemented
175#2454C2212yescomplemented
176#2452C2211yescharacteristic
177#2452C2212yescomplemented
178#2452C2212yescomplemented
179#2452C2212yescomplemented
180#2451C2211yescharacteristic, complemented
181#2449C2214yes—
182#2449C2212yes—
183#2449C2214yes—
184#2449C2214yescomplemented
185#2449C2214yescomplemented
186#2446C2211yescharacteristic, complemented
187#2445C2212yes—
188#2445C2212yes—
189#2445C2212yes—
190#2445C2212yes—
191#2445C2211yescharacteristic
192#2443C2214yes—
193#2443C2214yes—
194#2443C2214yescomplemented
195#2442C2212yes—
196#2440C2211yescharacteristic
197#2440C2211yescharacteristic
198#2440C2212yescomplemented
199#2440C2212yescomplemented
200#2436C2212yes—
201#2434C2211yescharacteristic
202#2433C2211yescharacteristic
203#2433C2212yes—
204#2432C2212yescomplemented
205#2432C2212yescomplemented
206#2429C2212yescomplemented
207#2429C2211yescharacteristic, complemented
208#2428C2211yescharacteristic
209#2428C2212yes—
210#2427C2212yescomplemented
211#2426C2214yescomplemented
212#2426C2212yescomplemented
213#2424C2214yes—
214#2424C2214yes—
215#2424C2214yes—
216#2424C2212yes—
217#2424C2214yes—
218#2423C2211yescharacteristic, complemented
219#2422C2211yescharacteristic
220#2420C2212yes—
221#2418C2214yes—
222#2417C2212yes—
223#2417C2214yes—
224#2417C2211yescharacteristic
225#2417C2214yescomplemented
226#2417C2212yescomplemented
227#2417C2214yescomplemented
228#2417C2212yescomplemented
229#2417C2212yescomplemented
230#2416C2212yes—
231#2416C2214yes—
232#2416C2212yes—
233#2416C2214yes—
234#2416C2214yes—
235#2416C2212yes—
236#2416C2211yescharacteristic
237#2416C2212yescomplemented
238#2416C2212yescomplemented
239#2416C2212yescomplemented
240#2416C2214yescomplemented
241#2415C2212yescomplemented
242#2414C2214yes—
243#2414C2212yes—
244#2413C2214yescomplemented
245#2409C2214yes—
246#2409C2211yescharacteristic
247#2408C2211yescharacteristic
248#2407C2214yes—
249#2407C2212yes—
250#2407C2212yescomplemented
251#2407C2212yescomplemented
252#2407C2214yescomplemented
253#2406C2214yescomplemented
254#2399C2212yescomplemented
255#2396C2212yescomplemented
256#2392C2212yes—
257#2388C2212yes—
258#2378C2214yescomplemented
259#2370C2212yescomplemented
260#2369C2211yescharacteristic, complemented
261#2366C2212yes—
262#2366C2212yes—
263#2366C2212yes—
264#2362C2212yescomplemented
265#2361C2212yes—
266#2361C2212yes—
267#2361C2212yes—
268#2361C2212yes—
269#2361C2212yescomplemented
270#2354C2211yescharacteristic
271#2354C2212yes—
272Q8×C4⋊C4C2211yescharacteristic, complemented
273D4×C4⋊C4C2212yes—
274D4×C4⋊C4C2214yes—
275D4×C4⋊C4C2212yescomplemented
276#2344C2212yescomplemented
277#2341C2212yescomplemented
278#2330C2212yescomplemented
279#2328C2212yes—
280#2324C2212yes—
281#2323C2214yescomplemented
282#2323C2212yescomplemented
283#2319C2212yes—
284#2316C2212yescomplemented
285#2311C2212yescomplemented
286#2311C2212yescomplemented
287C4×C4⋊Q8C2211yescharacteristic, complemented
288C4×C4⋊Q8C2211yescharacteristic, complemented
289C4×#127C2211yescharacteristic
290C4×C22⋊Q8C2211yescharacteristic
291C4×C22⋊Q8C2212yes—
292C4×C22⋊Q8C2211yescharacteristic, complemented
293C4×#121C2211yescharacteristic
294C4×#121C2212yes—
295C4×#121C2211yescharacteristic
296C4×#120C2212yes—
297#2295C2211yescharacteristic, complemented
298#2293C2211yescharacteristic
299#2290C2212yes—
300C42×D4C2211yescharacteristic
301C22×#41C2312yes—
302C22×#41C2312yes—
303C22×#41C2312yes—
304C22×#41C2314yes—
305C22×#41C2312yes—
306C23×Q8C2311yescharacteristic
307C23×Q8C2312yes—
308C23×D4C2311yescharacteristic
309C24×C4C2312yes—
310C24×C4C2314yes—
311#562—232no—
312#554—28no—
313#554—28no—
314#554—216no—
315#554—216no—
316#554—216no—
317#554—232no—
318#554—28no—
319#554—28no—
320#554—216no—
321#554—216no—
322#554D4116yescomplemented
323#550—28no—
324#550—216no—
325#550—28no—
326#548—48no—
327#548—48no—
328#547—216no—
329#547—216no—
330#540—216no—
331#540—216no—
332#537—232no—
333#537—216no—
334#537—216no—
335#533—28no—
336#532—28no—
337#532—28no—
338C2×C4⋊Q8—28no—
339C2×C4⋊Q8C2311yescharacteristic
340C2×C4⋊Q8C2312yes—
341C2×C4⋊Q8C2312yes—
342C2×C4⋊Q8C2312yes—
343C2×C4⋊Q8C2311yescharacteristic
344C2×C4⋊Q8C2311yescharacteristic
345C2×C4⋊Q8C2311yescharacteristic
346C2×C4⋊Q8C2311yescharacteristic
347C2×C4⋊Q8C2311yescharacteristic
348C2×#127C2311yescharacteristic
349C2×#127C2312yes—
350C2×#127C2311yescharacteristic
351C2×#127C2312yes—
352C2×#127C2311yescharacteristic
353C2×#127C2312yes—
354C2×#125—216no—
355C2×#125C2312yes—
356C2×#125C2314yes—
357C2×#125C2314yes—
358C2×#125C2312yes—
359C2×#125C2312yes—
360C2×#125C2312yes—
361C2×#125C2312yes—
362C2×#125C2312yes—
363C2×#124C2312yes—
364C2×#124C2312yes—
365C2×#124C2312yes—
366C2×#124C2314yes—
367C2×#124C2312yes—
368C2×#124C2314yes—
369C2×#124C2312yes—
370#525—48no—
371#525—416no—
372#525—48no—
373C2×#123C2314yes—
374C2×#123C2314yes—
375C2×#123C2314yes—
376C2×#123C2314yes—
377C2×#123C2312yes—
378C2×#123C2314yes—
379C2×#123C2312yes—
380C2×#123C2314yes—
381C2×#123C2314yes—
382C2×#123C2314yes—
383C2×C22⋊Q8—232no—
384C2×C22⋊Q8—216no—
385C2×C22⋊Q8C2314yes—
386C2×C22⋊Q8C2312yes—
387C2×C22⋊Q8C2312yes—
388C2×C22⋊Q8C2314yes—
389C2×C22⋊Q8C2311yescharacteristic
390C2×C22⋊Q8C2314yes—
391C2×C22⋊Q8C2314yes—
392C2×C22⋊Q8C2314yes—
393C2×C22⋊Q8C2314yes—
394C2×C22⋊Q8C2312yes—
395C2×C22⋊Q8C2314yes—
396C2×C22⋊Q8C2314yes—
397C2×C22⋊Q8C2314yes—
398C2×C22⋊Q8C2314yes—
399C2×C22⋊Q8C2311yescharacteristic
400C2×C22⋊Q8C2312yes—
401C2×C22⋊Q8C2311yescharacteristic
402C2×C22⋊Q8C2314yes—
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2314yes—
406C2×C22⋊Q8C2314yes—
407C2×C22⋊Q8C2312yes—
408C2×C22⋊Q8C2311yescharacteristic
409C2×C22⋊Q8C2312yes—
410C2×C22⋊Q8C2314yes—
411C2×C22⋊Q8C2312yes—
412C2×C22⋊Q8C2314yes—
413C2×C22⋊Q8C2312yes—
414C2×C22⋊Q8C2312yes—
415C2×C22⋊Q8C2314yes—
416C2×C22⋊Q8C2314yes—
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2314yes—
419C2×#121C2314yes—
420C2×#121C2311yescharacteristic
421C2×#121C2312yes—
422C2×#121C2314yes—
423C2×#121C2312yes—
424C2×#121C2312yes—
425C2×#121C2311yescharacteristic
426C2×#121C2311yescharacteristic
427C2×#121C2312yes—
428C2×#121C2312yes—
429C2×#121C2314yes—
430C2×#121C2311yescharacteristic
431C2×#121C2312yes—
432C2×#121C2314yes—
433C2×#121C2314yes—
434C2×#121C2314yes—
435C2×#121C2314yes—
436C2×#121C2314yes—
437C2×#121C2314yes—
438C2×#121C2312yes—
439C2×#121C2314yes—
440C2×#121C2312yes—
441C2×#121C2314yes—
442C2×#121C2312yes—
443C2×#121C2314yes—
444C2×#121C2312yes—
445C2×#121C2314yes—
446C2×#121C2312yes—
447C2×#121C2312yes—
448C2×#121C2314yes—
449C2×#121C2314yes—
450C2×#120C2312yes—
451C2×#120C2312yes—
452C2×#120C2314yes—
453C2×#120C2312yes—
454C2×#120C2314yes—
455C2×C4×Q8—28no—
456C2×C4×Q8C2311yescharacteristic
457C2×C4×Q8C2311yescharacteristic
458C2×C4×Q8C2312yes—
459C2×C4×Q8C2311yescharacteristic
460C2×C4×Q8C2312yes—
461C2×C4×Q8C2311yescharacteristic
462C2×C4×Q8C2312yes—
463C2×C4×Q8C2312yes—
464C2×C4×Q8C2312yes—
465C2×C4×Q8C2311yescharacteristic
466C2×C4×D4—216no—
467C2×C4×D4—28no—
468C2×C4×D4C2311yescharacteristic
469C2×C4×D4C2311yescharacteristic
470C2×C4×D4C2312yes—
471C2×C4×D4C2312yes—
472C2×C4×D4C2314yes—
473C2×C4×D4C2312yes—
474C2×C4×D4C2312yes—
475C2×C4×D4C2312yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2312yes—
478C2×C4×D4C2311yescharacteristic
479C2×C4×D4C2312yes—
480C2×C4×D4C2314yes—
481C2×C4×D4C2312yes—
482C2×C4×D4C2312yes—
483C2×C4×D4C2312yes—
484C2×C4×D4C2311yescharacteristic
485C2×C4×D4C2314yes—
486C2×C4×D4C2312yes—
487C2×C4×D4C2311yescharacteristic
488C2×C4×D4C2311yescharacteristic
489C2×C4×D4C2311yescharacteristic
490C2×C4×D4C2312yes—
491C2×C4×D4C2312yes—
492C2×C4×D4C2314yes—
493C2×C4×D4C2314yes—
494C2×C4×D4C2314yes—
495C2×C4×D4C2314yes—
496C2×C4×D4C2314yes—
497C2×C4×D4C2314yes—
498C2×C4×D4C2312yes—
499C2×C4×D4C2312yes—
500C2×C4×D4C2311yescharacteristic
501C2×#117C2312yes—
502C2×#117C2312yes—
503C2×#117C2312yes—
504C2×#117C2314yes—
505C22×C4⋊C4—216no—
506C22×C4⋊C4C2312yes—
507C22×C4⋊C4C2312yes—
508C22×C4⋊C4C2312yes—
509C22×C4⋊C4C2314yes—
510C22×C4⋊C4C2314yes—
511C22×C4⋊C4C2312yes—
512C22×C4⋊C4C2311yescharacteristic
513C22×C4⋊C4C2312yes—
514C22×C4⋊C4C2314yes—
515C22×C4⋊C4C2311yescharacteristic
516C22×C4⋊C4C2314yes—
517C22×C4⋊C4C2312yes—
518C22×C4⋊C4C2314yes—
519C22×C4⋊C4C2312yes—
520C22×C4⋊C4C2312yes—
521C22×C22⋊C4C2314yes—
522C22×C22⋊C4C2312yes—
523C22×C42C2312yes—
524C22×C42C2311yescharacteristic
525C22×C42C2311yescharacteristic
526#400C2314yes—
527#400C2312yes—
528#399C2314yes—
529#399C2314yes—
530#399C2314yes—
531#399C2312yes—
532#399C2314yes—
533#399C2314yes—
534#398C2312yes—
535#398C2314yes—
536#398C2312yes—
537#398C2314yes—
538#398C2314yes—
539#398C2314yes—
540#398C2314yes—
541#398C2314yes—
542#398C2312yes—
543#398C2312yes—
544#398C2312yes—
545#398C2312yes—
546#398C2312yes—
547#398C2314yes—
548#398C2314yes—
549#397C2314yes—
550#397C2312yes—
551#397C2314yes—
552#397C2314yes—
553#396C2314yes—
554#396C2314yes—
555#396C2312yes—
556#396C2314yes—
557#396C2314yes—
558#396C2314yes—
559#396C2314yes—
560#396C2314yes—
561#396C2314yes—
562#396C2312yes—
563#396C2314yes—
564#396C2314yes—
565#396C2314yes—
566#396C2314yes—
567#396C2314yes—
568#396C2314yes—
569#396C2312yes—
570#396C2312yes—
571#396C2314yes—
572#396C2314yes—
573#396C2314yes—
574#396C2314yes—
575#395C2314yes—
576#395C2314yes—
577#395C2312yes—
578#395C2314yes—
579#395C2312yes—
580#395C2312yes—
581#395C2312yes—
582#395C2312yes—
583#395C2312yes—
584#395C2314yes—
585#394C2312yes—
586#394C2314yes—
587#394C2314yes—
588#394C2314yes—
589#394C2314yes—
590#394C2314yes—
591#394C2312yes—
592#394C2314yes—
593#394C2314yes—
594#394C2314yes—
595#394C2314yes—
596#394C2314yes—
597#394C2314yes—
598#394C2314yes—
599#394C2314yes—
600#394C2314yes—
601#394C2312yes—
602#394C2314yes—
603#394C2314yes—
604#394C2312yes—
605#394C2314yes—
606#394C2314yes—
607#394C2314yes—
608#394C2314yes—
609#394C2312yes—
610#394C2312yes—
611#394C2314yes—
612#393C2314yes—
613#393C2314yes—
614#393C2314yes—
615#393C2312yes—
616#393C2312yes—
617#393C2314yes—
618#392C2314yes—
619#392C2312yes—
620#392C2314yes—
621#392C2314yes—
622#392C2312yes—
623#392C2312yes—
624#392C2312yes—
625#392C2314yes—
626#392C2314yes—
627#392C2314yes—
628#391C2311yescharacteristic
629#391C2311yescharacteristic
630#391C2312yes—
631#391C2312yes—
632#391C2314yes—
633#391C2311yescharacteristic
634#391C2314yes—
635#391C2312yes—
636#391C2311yescharacteristic
637#391C2314yes—
638#391C2311yescharacteristic
639#391C2312yes—
640#391C2311yescharacteristic
641#390C2311yescharacteristic
642#390C2311yescharacteristic
643#390C2312yes—
644#390C2312yes—
645#390C2312yes—
646#390C2312yes—
647#390C2312yes—
648#390C2312yes—
649#390C2312yes—
650#390C2314yes—
651#390C2311yescharacteristic
652#390C2312yes—
653#390C2312yes—
654#390C2314yes—
655#390C2312yes—
656#390C2312yes—
657#390C2314yes—
658#390C2314yes—
659#390C2312yes—
660#390C2312yes—
661#390C2312yes—
662#390C2314yes—
663#390C2312yes—
664#390C2312yes—
665#390C2311yescharacteristic
666#390C2314yes—
667#390C2311yescharacteristic
668#390C2314yes—
669#390C2314yes—
670#390C2314yes—
671#390C2311yescharacteristic
672#390C2312yes—
673#389C2312yes—
674#389C2312yes—
675#389C2312yes—
676#389C2312yes—
677#389C2312yes—
678#389C2312yes—
679#389C2311yescharacteristic
680#389C2314yes—
681#389C2312yes—
682#389C2312yes—
683#389C2314yes—
684#389C2312yes—
685#389C2314yes—
686#389C2314yes—
687#389C2311yescharacteristic
688#389C2312yes—
689#389C2314yes—
690#389C2312yes—
691#389C2314yes—
692#389C2311yescharacteristic
693#389C2311yescharacteristic
694#389C2312yes—
695#389C2314yes—
696#389C2314yes—
697#389C2314yes—
698#389C2311yescharacteristic
699#389C2311yescharacteristic
700#389C2311yescharacteristic
701#389C2312yes—
702#389C2312yes—
703#389C2311yescharacteristic
704#388C2314yes—
705#388C2314yes—
706#388C2312yes—
707#388C2314yes—
708#388C2314yes—
709#388C2314yes—
710#388C2314yes—
711#388C2314yes—
712#388C2314yes—
713#388C2314yes—
714#388C2314yes—
715#388C2314yes—
716#388C2314yes—
717#388C2312yes—
718#388C2312yes—
719#388C2314yes—
720#388C2312yes—
721#388C2312yes—
722#388C2312yes—
723#387C2312yes—
724#387C2314yes—
725#387C2314yes—
726#387C2314yes—
727#387C2314yes—
728#387C2312yes—
729#387C2312yes—
730#387C2312yes—
731#387C2312yes—
732#387C2312yes—
733#387C2312yes—
734#387C2312yes—
735#386C2314yes—
736#386C2314yes—
737#386C2314yes—
738#386C2314yes—
739#386C2314yes—
740#386C2314yes—
741#386C2314yes—
742#386C2314yes—
743#386C2314yes—
744#386C2312yes—
745#386C2314yes—
746#386C2314yes—
747#386C2314yes—
748#386C2314yes—
749#386C2314yes—
750#386C2314yes—
751#386C2314yes—
752#386C2314yes—
753#386C2314yes—
754#386C2314yes—
755#386C2314yes—
756#386C2314yes—
757#386C2314yes—
758#386C2312yes—
759#386C2312yes—
760#386C2312yes—
761#386C2312yes—
762#386C2312yes—
763#386C2312yes—
764#385C2314yes—
765#385C2314yes—
766#385C2314yes—
767#385C2312yes—
768#385C2314yes—
769#385C2314yes—
770#385C2312yes—
771#385C2312yes—
772#385C2314yes—
773#385C2314yes—
774#385C2314yes—
775#385C2314yes—
776#385C2314yes—
777#385C2314yes—
778#385C2314yes—
779#385C2314yes—
780#385C2312yes—
781#385C2312yes—
782#385C2312yes—
783#385C2312yes—
784#385C2314yes—
785#385C2312yes—
786#385C2312yes—
787#384C2311yescharacteristic
788#384C2311yescharacteristic
789#384C2311yescharacteristic
790#384C2312yes—
791#384C2312yes—
792#384C2314yes—
793#382C2312yes—
794#381C2314yes—
795#381C2314yes—
796#380C2312yes—
797#380C2312yes—
798#380C2311yescharacteristic
799#380C2312yes—
800#380C2312yes—
801#380C2314yes—
802#380C2314yes—
803#380C2314yes—
804#380C2314yes—
805#380C2312yes—
806#380C2312yes—
807#380C2311yescharacteristic
808#380C2312yes—
809#380C2314yes—
810#380C2312yes—
811#380C2314yes—
812#380C2314yes—
813#380C2314yes—
814#380C2314yes—
815#380C2314yes—
816#380C2311yescharacteristic
817#380C2311yescharacteristic
818#379C2312yes—
819C4×C4⋊C4C2312yes—
820C4×C4⋊C4C2312yes—
821C4×C4⋊C4C2312yes—
822C4×C4⋊C4C2312yes—
823C4×C4⋊C4C2311yescharacteristic
824C4×C4⋊C4C2312yes—
825C4×C4⋊C4C2311yescharacteristic
826C4×C4⋊C4C2312yes—
827C4×C4⋊C4C2312yes—
828C4×C4⋊C4C2314yes—
829C4×C4⋊C4C2312yes—
830C4×C4⋊C4C2312yes—
831C4×C4⋊C4C2312yes—
832C4×C4⋊C4C2312yes—
833C4×C4⋊C4C2311yescharacteristic
834C4×C4⋊C4C2311yescharacteristic
835C4×C4⋊C4C2311yescharacteristic
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2314yes—
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2311yescharacteristic
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2311yescharacteristic
842C4×C22⋊C4C2312yes—
843C4×C22⋊C4C2311yescharacteristic
844C4×C22⋊C4C2311yescharacteristic
845C4×C22⋊C4C2312yes—
846C4×C22⋊C4C2311yescharacteristic
847C4×C22⋊C4C2311yescharacteristic
848#376C2312yes—
849C43C2311yescharacteristic
850C25C2412yes—
851C2×#41—28no—
852C2×#41—28no—
853C2×#41—28no—
854C2×#41—216no—
855C2×#41—28no—
856C2×#41—44no—
857C2×#41—44no—
858C2×#41—44no—
859C2×#41—44no—
860C2×#41—48no—
861C2×#41—44no—
862C2×#41—44no—
863C2×#41—44no—
864C2×#41—84no—
865C2×#41—82no—
866C22×Q8—24no—
867C22×Q8—28no—
868C22×Q8—24no—
869C22×Q8—44no—
870C22×Q8—42no—
871C22×Q8—82no—
872C22×Q8C2411yescharacteristic
873C22×Q8C2411yescharacteristic
874C22×Q8C2412yes—
875C22×Q8C2412yes—
876C22×Q8C2411yescharacteristic
877C22×Q8C2414yes—
878C22×Q8C2412yes—
879C22×Q8C2412yes—
880C22×Q8C2412yes—
881C22×D4—24no—
882C22×D4—24no—
883C22×D4—24no—
884C22×D4C2412yes—
885C22×D4C2411yescharacteristic
886C22×D4C2412yes—
887C22×D4C2414yes—
888C22×D4C2411yescharacteristic
889C22×D4C2412yes—
890C22×D4C2412yes—
891C22×D4C2412yes—
892C22×D4C2412yes—
893C22×D4C2411yescharacteristic
894C22×D4C2411yescharacteristic
895C22×D4C2412yes—
896C22×D4C2412yes—
897C22×D4C2414yes—
898C22×D4C2414yes—
899C22×D4C2412yes—
900C22×D4C2414yes—
901C22×D4C2414yes—
902C22×D4C2412yes—
903C22×D4C2414yes—
904C22×D4C2412yes—
905C22×D4C2414yes—
906C22×D4C2414yes—
907C22×D4C2412yes—
908C23×C4—28no—
909C23×C4—28no—
910C23×C4—216no—
911C23×C4—44no—
912C23×C4—48no—
913C23×C4—84no—
914C23×C4C2412yes—
915C23×C4C2412yes—
916C23×C4C2411yescharacteristic
917C23×C4C2411yescharacteristic
918C23×C4C2412yes—
919C23×C4C2411yescharacteristic
920C23×C4C2412yes—
921C23×C4C2414yes—
922C23×C4C2412yes—
923C23×C4C2412yes—
924C23×C4C2412yes—
925C23×C4C2414yes—
926C23×C4C2411yescharacteristic
927C23×C4C2412yes—
928C23×C4C2411yescharacteristic
929C23×C4C2411yescharacteristic
930C23×C4C2414yes—
931C23×C4C2414yes—
932C23×C4C2414yes—
933C23×C4C2414yes—
934C23×C4C2414yes—
935C23×C4C2414yes—
936C23×C4C2414yes—
937C4⋊Q8—28no—
938C4⋊Q8—24no—
939C4⋊Q8—28no—
940C4⋊Q8—28no—
941C4⋊Q8—24no—
942C4⋊Q8—24no—
943C4⋊Q8—24no—
944C4⋊Q8—42no—
945C4⋊Q8C2×D418yes—
946#127—24no—
947#127—28no—
948#127—24no—
949#127—28no—
950#127—24no—
951#127—28no—
952#125—216no—
953#125—28no—
954#125—28no—
955#125—216no—
956#125—28no—
957#125—28no—
958#125—28no—
959#125C2×D4116yes—
960#124—28no—
961#124—28no—
962#124—48no—
963#124—44no—
964#124—44no—
965#124—48no—
966#124—82no—
967#123—216no—
968#123—216no—
969#123—216no—
970#123—216no—
971#123—48no—
972#123—44no—
973#123—44no—
974#123—48no—
975#123—48no—
976#123—84no—
977C22⋊Q8—216no—
978C22⋊Q8—28no—
979C22⋊Q8—24no—
980C22⋊Q8—216no—
981C22⋊Q8—216no—
982C22⋊Q8—28no—
983C22⋊Q8—24no—
984C22⋊Q8—216no—
985C22⋊Q8—216no—
986C22⋊Q8—216no—
987C22⋊Q8—216no—
988C22⋊Q8—28no—
989C22⋊Q8—28no—
990C22⋊Q8—24no—
991C22⋊Q8—216no—
992C22⋊Q8—28no—
993C22⋊Q8—216no—
994C22⋊Q8—216no—
995C22⋊Q8—216no—
996C22⋊Q8—216no—
997C22⋊Q8—216no—
998C22⋊Q8—28no—
999C22⋊Q8—44no—
1000C22⋊Q8—48no—
1001C22⋊Q8—48no—
1002C22⋊Q8—44no—
1003C22⋊Q8—48no—
1004C22⋊Q8—44no—
1005C22⋊Q8—42no—
1006C22⋊Q8—44no—
1007C22⋊Q8—44no—
1008C22⋊Q8—84no—
1009C22⋊Q8C2×D4116yes—
1010C22⋊Q8C2×D4132yes—
1011#121—24no—
1012#121—24no—
1013#121—216no—
1014#121—28no—
1015#121—216no—
1016#121—28no—
1017#121—28no—
1018#121—24no—
1019#121—28no—
1020#121—24no—
1021#121—28no—
1022#121—216no—
1023#121—216no—
1024#121—28no—
1025#121—216no—
1026#121—28no—
1027#121—216no—
1028#121—216no—
1029#121—216no—
1030#121—216no—
1031#121—44no—
1032#121—48no—
1033#121—44no—
1034#121—44no—
1035#121—44no—
1036#121—48no—
1037#121—48no—
1038#121—44no—
1039#121—48no—
1040#121—84no—
1041#121—84no—
1042#120—28no—
1043#120—44no—
1044#120—44no—
1045#120—48no—
1046#120—48no—
1047C4×Q8—24no—
1048C4×Q8—28no—
1049C4×Q8—24no—
1050C4×Q8—24no—
1051C4×Q8—28no—
1052C4×Q8—28no—
1053C4×Q8—24no—
1054C4×Q8—44no—
1055C4×Q8—44no—
1056C4×Q8C2×D418yes—
1057C4×D4—28no—
1058C4×D4—24no—
1059C4×D4—216no—
1060C4×D4—28no—
1061C4×D4—28no—
1062C4×D4—24no—
1063C4×D4—28no—
1064C4×D4—24no—
1065C4×D4—28no—
1066C4×D4—24no—
1067C4×D4—28no—
1068C4×D4—28no—
1069C4×D4—28no—
1070C4×D4—28no—
1071C4×D4—216no—
1072C4×D4—28no—
1073C4×D4—216no—
1074C4×D4—24no—
1075C4×D4—24no—
1076C4×D4—28no—
1077C4×D4—24no—
1078C4×D4—28no—
1079C4×D4—48no—
1080C4×D4—44no—
1081C4×D4—44no—
1082C4×D4—44no—
1083C4×D4—48no—
1084C4×D4—48no—
1085C4×D4—48no—
1086C4×D4—48no—
1087C4×D4—48no—
1088C4×D4C2×D418yes—
1089C4×D4C2×D4116yes—
1090#117—28no—
1091#117—44no—
1092#117—48no—
1093#117—44no—
1094C2×C4⋊C4—216no—
1095C2×C4⋊C4—28no—
1096C2×C4⋊C4—24no—
1097C2×C4⋊C4—216no—
1098C2×C4⋊C4—28no—
1099C2×C4⋊C4—28no—
1100C2×C4⋊C4—216no—
1101C2×C4⋊C4—28no—
1102C2×C4⋊C4—24no—
1103C2×C4⋊C4—28no—
1104C2×C4⋊C4—28no—
1105C2×C4⋊C4—216no—
1106C2×C4⋊C4—216no—
1107C2×C4⋊C4—28no—
1108C2×C4⋊C4C2×D4116yes—
1109C2×C4⋊C4C2411yescharacteristic
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2414yes—
1112C2×C4⋊C4C2414yes—
1113C2×C4⋊C4C2414yes—
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2414yes—
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2411yescharacteristic
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2411yescharacteristic
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2414yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2414yes—
1127C2×C4⋊C4C2414yes—
1128C2×C4⋊C4C2414yes—
1129C2×C4⋊C4C2414yes—
1130C2×C4⋊C4C2414yes—
1131C2×C4⋊C4C2411yescharacteristic
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2412yes—
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2411yescharacteristic
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2412yes—
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2411yescharacteristic
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2414yes—
1143C2×C4⋊C4C2411yescharacteristic
1144C2×C4⋊C4C2411yescharacteristic
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2412yes—
1147C2×C4⋊C4C2412yes—
1148C2×C4⋊C4C2411yescharacteristic
1149C2×C4⋊C4C2412yes—
1150C2×C4⋊C4C2411yescharacteristic
1151C2×C4⋊C4C2411yescharacteristic
1152C2×C4⋊C4C2414yes—
1153C2×C4⋊C4C2412yes—
1154C2×C4⋊C4C2412yes—
1155C2×C4⋊C4C2414yes—
1156C2×C4⋊C4C2412yes—
1157C2×C4⋊C4C2414yes—
1158C2×C4⋊C4C2414yes—
1159C2×C4⋊C4C2412yes—
1160C2×C4⋊C4C2412yes—
1161C2×C4⋊C4C2414yes—
1162C2×C4⋊C4C2414yes—
1163C2×C4⋊C4C2412yes—
1164C2×C4⋊C4C2412yes—
1165C2×C4⋊C4C2414yes—
1166C2×C4⋊C4C2412yes—
1167C2×C4⋊C4C2414yes—
1168C2×C4⋊C4C2412yes—
1169C2×C4⋊C4C2412yes—
1170C2×C4⋊C4C2412yes—
1171C2×C4⋊C4C2412yes—
1172C2×C4⋊C4C2411yescharacteristic
1173C2×C4⋊C4C2412yes—
1174C2×C4⋊C4C2414yes—
1175C2×C4⋊C4C2414yes—
1176C2×C4⋊C4C2411yescharacteristic
1177C2×C4⋊C4C2412yes—
1178C2×C4⋊C4C2412yes—
1179C2×C22⋊C4—216no—
1180C2×C22⋊C4—28no—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2414yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2411yescharacteristic
1195C2×C22⋊C4C2414yes—
1196C2×C22⋊C4C2414yes—
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2411yescharacteristic
1201C2×C22⋊C4C2414yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2414yes—
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2412yes—
1206C2×C22⋊C4C2414yes—
1207C2×C22⋊C4C2411yescharacteristic
1208C2×C22⋊C4C2411yescharacteristic
1209C2×C22⋊C4C2411yescharacteristic
1210C2×C22⋊C4C2412yes—
1211C2×C22⋊C4C2412yes—
1212C2×C22⋊C4C2414yes—
1213C2×C22⋊C4C2412yes—
1214C2×C22⋊C4C2414yes—
1215C2×C22⋊C4C2412yes—
1216C2×C22⋊C4C2414yes—
1217C2×C22⋊C4C2412yes—
1218C2×C22⋊C4C2414yes—
1219C2×C22⋊C4C2412yes—
1220C2×C22⋊C4C2414yes—
1221C2×C22⋊C4C2414yes—
1222C2×C22⋊C4C2412yes—
1223C2×C22⋊C4C2414yes—
1224C2×C22⋊C4C2414yes—
1225C2×C22⋊C4C2414yes—
1226C2×C22⋊C4C2412yes—
1227C2×C22⋊C4C2414yes—
1228C2×C22⋊C4C2412yes—
1229C2×C22⋊C4C2412yes—
1230C2×C22⋊C4C2412yes—
1231C2×C22⋊C4C2414yes—
1232C2×C22⋊C4C2414yes—
1233C2×C22⋊C4C2414yes—
1234C2×C22⋊C4C2414yes—
1235C2×C22⋊C4C2414yes—
1236C2×C22⋊C4C2414yes—
1237C2×C22⋊C4C2414yes—
1238C2×C22⋊C4C2414yes—
1239C2×C22⋊C4C2414yes—
1240C2×C22⋊C4C2412yes—
1241C2×C22⋊C4C2412yes—
1242C2×C22⋊C4C2412yes—
1243C2×C22⋊C4C2414yes—
1244C2×C22⋊C4C2414yes—
1245C2×C22⋊C4C2412yes—
1246C2×C22⋊C4C2411yescharacteristic
1247C2×C42—28no—
1248C2×C42—24no—
1249C2×C42—24no—
1250C2×C42C2411yescharacteristic
1251C2×C42C2412yes—
1252C2×C42C2412yes—
1253C2×C42C2414yes—
1254C2×C42C2411yescharacteristic
1255C2×C42C2412yes—
1256C2×C42C2412yes—
1257C2×C42C2412yes—
1258C2×C42C2411yescharacteristic
1259C2×C42C2411yescharacteristic
1260C2×C42C2411yescharacteristic
1261C2×C42C2411yescharacteristic
1262C2×C42C2411yescharacteristic
1263C2×C42C2411yescharacteristic
1264C2×C42C2411yescharacteristic
1265C2×C42C2411yescharacteristic
1266C2×C42C2411yescharacteristic
1267C2×C42C2412yes—
1268C2×C42C2414yes—
1269C2×C42C2414yes—
1270C2×C42C2414yes—
1271C2×C42C2411yescharacteristic
1272C2×C42C2412yes—
1273C2×C42C2411yescharacteristic
1274#95C2412yes—
1275#95C2412yes—
1276#95C2412yes—
1277#95C2412yes—
1278#95C2412yes—
1279#95C2411yescharacteristic
1280#95C2411yescharacteristic
1281#95C2411yescharacteristic
1282#95C2411yescharacteristic
1283#95C2411yescharacteristic
1284#95C2411yescharacteristic
1285#95C2412yes—
1286#95C2414yes—
1287#95C2412yes—
1288#95C2412yes—
1289#95C2412yes—
1290#95C2412yes—
1291#95C2412yes—
1292#95C2412yes—
1293#95C2412yes—
1294#95C2412yes—
1295#95C2412yes—
1296#95C2412yes—
1297#95C2412yes—
1298#95C2412yes—
1299#95C2412yes—
1300#95C2412yes—
1301#95C2414yes—
1302#95C2412yes—
1303#95C2414yes—
1304#95C2414yes—
1305#95C2414yes—
1306#95C2414yes—
1307#95C2414yes—
1308#95C2412yes—
1309#95C2412yes—
1310#95C2412yes—
1311#95C2412yes—
1312#95C2412yes—
1313#95C2414yes—
1314#95C2414yes—
1315#95C2414yes—
1316#95C2414yes—
1317#95C2414yes—
1318#95C2414yes—
1319#95C2414yes—
1320C24—24no—
1321C24—24no—
1322C24—24no—
1323C24—24no—
1324C24—24no—
1325C24—42no—
1326C24—42no—
1327C24C2511yescharacteristic
1328C24C2514yes—
1329C24C2512yes—
1330C24C2512yes—
1331C24C2512yes—
1332C24C2511yescharacteristic
1333#41—816no—
1334#41—816no—
1335#41—816no—
1336#41—832no—
1337#41—816no—
1338C2×Q8—24no—
1339C2×Q8—22no—
1340C2×Q8—24no—
1341C2×Q8—22no—
1342C2×Q8—24no—
1343C2×Q8—28no—
1344C2×Q8—24no—
1345C2×Q8—22no—
1346C2×Q8—24no—
1347C2×Q8—22no—
1348C2×Q8—24no—
1349C2×Q8—22no—
1350C2×Q8—22no—
1351C2×Q8—22no—
1352C2×Q8—22no—
1353C2×Q8—42no—
1354C2×Q8—42no—
1355C2×Q8—42no—
1356C2×Q8—42no—
1357C2×Q8—42no—
1358C2×Q8—44no—
1359C2×Q8—42no—
1360C2×Q8—44no—
1361C2×Q8—42no—
1362C2×Q8—42no—
1363C2×Q8—416no—
1364C2×Q8—816no—
1365C2×Q8C22×D414yes—
1366C2×Q8C22×D418yes—
1367C2×D4—232no—
1368C2×D4—24no—
1369C2×D4—24no—
1370C2×D4—24no—
1371C2×D4—22no—
1372C2×D4—24no—
1373C2×D4—28no—
1374C2×D4—22no—
1375C2×D4—24no—
1376C2×D4—28no—
1377C2×D4—22no—
1378C2×D4—24no—
1379C2×D4—28no—
1380C2×D4—24no—
1381C2×D4—24no—
1382C2×D4—28no—
1383C2×D4—28no—
1384C2×D4—24no—
1385C2×D4—24no—
1386C2×D4—24no—
1387C2×D4—28no—
1388C2×D4—28no—
1389C2×D4—22no—
1390C2×D4—24no—
1391C2×D4—22no—
1392C2×D4—24no—
1393C2×D4—24no—
1394C2×D4—28no—
1395C2×D4—28no—
1396C2×D4—28no—
1397C2×D4—24no—
1398C2×D4—24no—
1399C2×D4—24no—
1400C2×D4—24no—
1401C2×D4—24no—
1402C2×D4—22no—
1403C2×D4—22no—
1404C2×D4—22no—
1405C2×D4—22no—
1406C2×D4—24no—
1407C2×D4—22no—
1408C2×D4—24no—
1409C2×D4—24no—
1410C2×D4—42no—
1411C2×D4—42no—
1412C2×D4—42no—
1413C2×D4—42no—
1414C2×D4—44no—
1415C2×D4—44no—
1416C2×D4—42no—
1417C2×D4—44no—
1418C2×D4—44no—
1419C2×D4—42no—
1420C2×D4—42no—
1421C2×D4—44no—
1422C2×D4—44no—
1423C2×D4—42no—
1424C2×D4—44no—
1425C2×D4—44no—
1426C2×D4—42no—
1427C2×D4—42no—
1428C2×D4—44no—
1429C2×D4—44no—
1430C2×D4—44no—
1431C2×D4—44no—
1432C2×D4—42no—
1433C2×D4—42no—
1434C2×D4—44no—
1435C2×D4—42no—
1436C2×D4—42no—
1437C2×D4—44no—
1438C2×D4C22×D414yes—
1439C2×D42−1+414yes—
1440C22×C4—22no—
1441C22×C4—22no—
1442C22×C4—24no—
1443C22×C4—22no—
1444C22×C4—22no—
1445C22×C4—24no—
1446C22×C4—24no—
1447C22×C4—28no—
1448C22×C4—22no—
1449C22×C4—24no—
1450C22×C4—24no—
1451C22×C4—24no—
1452C22×C4—28no—
1453C22×C4—24no—
1454C22×C4—22no—
1455C22×C4—24no—
1456C22×C4—22no—
1457C22×C4—22no—
1458C22×C4—22no—
1459C22×C4—24no—
1460C22×C4—28no—
1461C22×C4—24no—
1462C22×C4—24no—
1463C22×C4—28no—
1464C22×C4—24no—
1465C22×C4—22no—
1466C22×C4—28no—
1467C22×C4—24no—
1468C22×C4—22no—
1469C22×C4—24no—
1470C22×C4—24no—
1471C22×C4—24no—
1472C22×C4—22no—
1473C22×C4—22no—
1474C22×C4—24no—
1475C22×C4—24no—
1476C22×C4—22no—
1477C22×C4—28no—
1478C22×C4—28no—
1479C22×C4—28no—
1480C22×C4—28no—
1481C22×C4—28no—
1482C22×C4—44no—
1483C22×C4—42no—
1484C22×C4—42no—
1485C22×C4—42no—
1486C22×C4—42no—
1487C22×C4—44no—
1488C22×C4—44no—
1489C22×C4—42no—
1490C22×C4—41no—
1491C22×C4—41no—
1492C22×C4—44no—
1493C22×C4—432no—
1494C22×C4—44no—
1495C22×C4—44no—
1496C22×C4—44no—
1497C22×C4—44no—
1498C22×C4—44no—
1499C22×C4—44no—
1500C22×C4—44no—
1501C22×C4—44no—
1502C22×C4—44no—
1503C22×C4—44no—
1504C22×C4—44no—
1505C22×C4—44no—
1506C22×C4—832no—
1507C22×C4C22×D418yes—
1508C22×C4C22×D4116yes—
1509C22×C4H(5,𝔽2)14yes—
1510C22×C42−1+414yes—
1511C22×C4C2512yes—
1512C22×C4C2511yescharacteristic
1513C22×C4C2511yescharacteristic
1514C22×C4C2512yes—
1515C22×C4C2511yescharacteristic
1516C22×C4C2512yes—
1517C22×C4C2511yescharacteristic
1518C22×C4C2512yes—
1519C22×C4C2514yes—
1520C22×C4C2511yescharacteristic
1521C22×C4C2512yes—
1522C22×C4C2512yes—
1523C22×C4C2511yescharacteristic
1524C22×C4C2512yes—
1525C22×C4C2512yes—
1526C22×C4C2514yes—
1527C22×C4C2512yes—
1528C22×C4C2512yes—
1529C22×C4C2511yescharacteristic
1530C22×C4C2512yes—
1531C22×C4C2512yes—
1532C22×C4C2514yes—
1533C22×C4C2512yes—
1534C22×C4C2511yescharacteristic
1535C22×C4C2511yescharacteristic
1536C22×C4C2511yescharacteristic
1537C22×C4C2511yescharacteristic
1538C22×C4C2511yescharacteristic
1539C22×C4C2511yescharacteristic
1540C4⋊C4—24no—
1541C4⋊C4—22no—
1542C4⋊C4—28no—
1543C4⋊C4—28no—
1544C4⋊C4—28no—
1545C4⋊C4—28no—
1546C4⋊C4—24no—
1547C4⋊C4—24no—
1548C4⋊C4—24no—
1549C4⋊C4—22no—
1550C4⋊C4—24no—
1551C4⋊C4—22no—
1552C4⋊C4—28no—
1553C4⋊C4—24no—
1554C4⋊C4—24no—
1555C4⋊C4—24no—
1556C4⋊C4—24no—
1557C4⋊C4—28no—
1558C4⋊C4—28no—
1559C4⋊C4—28no—
1560C4⋊C4—28no—
1561C4⋊C4—28no—
1562C4⋊C4—24no—
1563C4⋊C4—24no—
1564C4⋊C4—22no—
1565C4⋊C4—24no—
1566C4⋊C4—24no—
1567C4⋊C4—24no—
1568C4⋊C4—24no—
1569C4⋊C4—22no—
1570C4⋊C4—24no—
1571C4⋊C4—22no—
1572C4⋊C4—28no—
1573C4⋊C4—24no—
1574C4⋊C4—22no—
1575C4⋊C4—24no—
1576C4⋊C4—24no—
1577C4⋊C4—24no—
1578C4⋊C4—22no—
1579C4⋊C4—22no—
1580C4⋊C4—24no—
1581C4⋊C4—22no—
1582C4⋊C4—22no—
1583C4⋊C4—42no—
1584C4⋊C4—42no—
1585C4⋊C4—44no—
1586C4⋊C4—42no—
1587C4⋊C4—44no—
1588C4⋊C4—42no—
1589C4⋊C4—42no—
1590C4⋊C4—44no—
1591C4⋊C4—44no—
1592C4⋊C4—44no—
1593C4⋊C4—42no—
1594C4⋊C4—44no—
1595C4⋊C4—42no—
1596C4⋊C4—44no—
1597C4⋊C4—42no—
1598C4⋊C4—42no—
1599C4⋊C4—44no—
1600C4⋊C4—42no—
1601C4⋊C4—42no—
1602C4⋊C4—42no—
1603C4⋊C4C22×D414yes—
1604C4⋊C4C22×D418yes—
1605C4⋊C4C22×D4116yes—
1606C4⋊C4C22×D4116yes—
1607C4⋊C4C22×D414yes—
1608C4⋊C4C22×D418yes—
1609C4⋊C4C22×D418yes—
1610C22⋊C4—28no—
1611C22⋊C4—24no—
1612C22⋊C4—24no—
1613C22⋊C4—24no—
1614C22⋊C4—22no—
1615C22⋊C4—24no—
1616C22⋊C4—24no—
1617C22⋊C4—22no—
1618C22⋊C4—24no—
1619C22⋊C4—28no—
1620C22⋊C4—24no—
1621C22⋊C4—24no—
1622C22⋊C4—28no—
1623C22⋊C4—24no—
1624C22⋊C4—24no—
1625C22⋊C4—28no—
1626C22⋊C4—28no—
1627C22⋊C4—28no—
1628C22⋊C4—28no—
1629C22⋊C4—24no—
1630C22⋊C4—24no—
1631C22⋊C4—28no—
1632C22⋊C4—24no—
1633C22⋊C4—22no—
1634C22⋊C4—24no—
1635C22⋊C4—28no—
1636C22⋊C4—22no—
1637C22⋊C4—24no—
1638C22⋊C4—28no—
1639C22⋊C4—22no—
1640C22⋊C4—24no—
1641C22⋊C4—28no—
1642C22⋊C4—42no—
1643C22⋊C4—42no—
1644C22⋊C4—44no—
1645C22⋊C4—44no—
1646C22⋊C4—42no—
1647C22⋊C4—42no—
1648C22⋊C4—42no—
1649C22⋊C4—42no—
1650C22⋊C4—44no—
1651C22⋊C4—44no—
1652C22⋊C4—42no—
1653C22⋊C4—44no—
1654C22⋊C4—42no—
1655C22⋊C4—44no—
1656C22⋊C4—44no—
1657C22⋊C4—44no—
1658C22⋊C4—44no—
1659C22⋊C4—44no—
1660C22⋊C4—44no—
1661C22⋊C4—44no—
1662C22⋊C4—44no—
1663C22⋊C4—44no—
1664C22⋊C4—44no—
1665C22⋊C4—42no—
1666C22⋊C4—44no—
1667C22⋊C4—44no—
1668C22⋊C4—44no—
1669C22⋊C4—42no—
1670C22⋊C4—42no—
1671C22⋊C4—42no—
1672C22⋊C4—44no—
1673C22⋊C4C22×D4116yes—
1674C22⋊C4C22×D418yes—
1675C22⋊C4H(5,𝔽2)14yes—
1676C42—22no—
1677C42—24no—
1678C42—24no—
1679C42—24no—
1680C42—22no—
1681C42—22no—
1682C42—22no—
1683C42—22no—
1684C42—22no—
1685C42—24no—
1686C42—22no—
1687C42—28no—
1688C42—24no—
1689C42—22no—
1690C42—22no—
1691C42—22no—
1692C42—24no—
1693C42—22no—
1694C42—44no—
1695C42—44no—
1696C42—44no—
1697C42—41no—
1698C42C22×D414yes—
1699C42C22×D418yes—
1700C23—21no—
1701C23—21no—
1702C23—21no—
1703C23—21no—
1704C23—216no—
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—21no—
1718C23—24no—
1719C23—22no—
1720C23—21no—
1721C23—24no—
1722C23—22no—
1723C23—24no—
1724C23—21no—
1725C23—22no—
1726C23—21no—
1727C23—24no—
1728C23—22no—
1729C23—21no—
1730C23—22no—
1731C23—24no—
1732C23—21no—
1733C23—22no—
1734C23—24no—
1735C23—22no—
1736C23—24no—
1737C23—21no—
1738C23—48no—
1739C23—48no—
1740C23—48no—
1741C23—48no—
1742C23—48no—
1743C23—48no—
1744C23C23×D414yes—
1745C23C2×H(5,𝔽2)12yes—
1746C23C2×H(5,𝔽2)12yes—
1747C23C2×2−1+414yes—
1748C23C2×2−1+412yes—
1749C23C2611yescharacteristic
1750Q8—28no—
1751Q8—48no—
1752Q8—48no—
1753Q8—48no—
1754Q8—44no—
1755Q8—44no—
1756Q8—88no—
1757Q8—84no—
1758Q8—84no—
1759D4—216no—
1760D4—28no—
1761D4—28no—
1762D4—48no—
1763D4—48no—
1764D4—44no—
1765D4—48no—
1766D4—416no—
1767D4—48no—
1768D4—44no—
1769D4—48no—
1770D4—88no—
1771D4—88no—
1772D4—84no—
1773D4—84no—
1774D4—88no—
1775D4—88no—
1776D4—84no—
1777D4—84no—
1778D4—88no—
1779D4—88no—
1780D4—84no—
1781D4—84no—
1782D4—88no—
1783C2×C4—21no—
1784C2×C4—21no—
1785C2×C4—21no—
1786C2×C4—24no—
1787C2×C4—21no—
1788C2×C4—22no—
1789C2×C4—22no—
1790C2×C4—22no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—22no—
1795C2×C4—21no—
1796C2×C4—22no—
1797C2×C4—21no—
1798C2×C4—22no—
1799C2×C4—24no—
1800C2×C4—21no—
1801C2×C4—28no—
1802C2×C4—28no—
1803C2×C4—216no—
1804C2×C4—21no—
1805C2×C4—22no—
1806C2×C4—21no—
1807C2×C4—21no—
1808C2×C4—22no—
1809C2×C4—22no—
1810C2×C4—22no—
1811C2×C4—22no—
1812C2×C4—22no—
1813C2×C4—24no—
1814C2×C4—22no—
1815C2×C4—21no—
1816C2×C4—21no—
1817C2×C4—24no—
1818C2×C4—22no—
1819C2×C4—21no—
1820C2×C4—22no—
1821C2×C4—22no—
1822C2×C4—22no—
1823C2×C4—24no—
1824C2×C4—21no—
1825C2×C4—24no—
1826C2×C4—21no—
1827C2×C4—22no—
1828C2×C4—22no—
1829C2×C4—22no—
1830C2×C4—22no—
1831C2×C4—22no—
1832C2×C4—22no—
1833C2×C4—21no—
1834C2×C4—21no—
1835C2×C4—22no—
1836C2×C4—21no—
1837C2×C4—22no—
1838C2×C4—21no—
1839C2×C4—21no—
1840C2×C4—22no—
1841C2×C4—24no—
1842C2×C4—22no—
1843C2×C4—21no—
1844C2×C4—22no—
1845C2×C4—22no—
1846C2×C4—22no—
1847C2×C4—22no—
1848C2×C4—21no—
1849C2×C4—22no—
1850C2×C4—21no—
1851C2×C4—21no—
1852C2×C4—22no—
1853C2×C4—22no—
1854C2×C4—22no—
1855C2×C4—24no—
1856C2×C4—21no—
1857C2×C4—22no—
1858C2×C4—416no—
1859C2×C4—48no—
1860C2×C4—416no—
1861C2×C4—44no—
1862C2×C4—48no—
1863C2×C4—48no—
1864C2×C4—48no—
1865C2×C4—416no—
1866C2×C4—48no—
1867C2×C4—44no—
1868C2×C4—44no—
1869C2×C4—48no—
1870C2×C4—48no—
1871C2×C4—44no—
1872C2×C4—88no—
1873C2×C4—88no—
1874C2×C4—88no—
1875C2×C4—88no—
1876C2×C4—88no—
1877C2×C4—88no—
1878C2×C4C23×D412yes—
1879C2×C4C23×D414yes—
1880C2×C4C23×D414yes—
1881C2×C4C23×D414yes—
1882C2×C4C23×D418yes—
1883C2×C4C23×D412yes—
1884C2×C4C23×D412yes—
1885C2×C4C2×H(5,𝔽2)12yes—
1886C2×C4C2×H(5,𝔽2)12yes—
1887C2×C4C2×H(5,𝔽2)12yes—
1888C2×C4C2×H(5,𝔽2)12yes—
1889C2×C4C2×2−1+412yes—
1890C2×C4C2×2−1+412yes—
1891C2×C4C2×2−1+412yes—
1892C2×C4#58512yes—
1893C22—22no—
1894C22—22no—
1895C22—22no—
1896C22—22no—
1897C22—22no—
1898C22—22no—
1899C22—24no—
1900C22—24no—
1901C22—24no—
1902C22—24no—
1903C22—24no—
1904C22—24no—
1905C22—432no—
1906C22—42no—
1907C22—42no—
1908C22—42no—
1909C22—42no—
1910C22—42no—
1911C22—42no—
1912C22—42no—
1913C22—42no—
1914C22—41no—
1915C22—44no—
1916C22—42no—
1917C22—41no—
1918C22—44no—
1919C22—42no—
1920C22—42no—
1921C22—44no—
1922C22—41no—
1923C22—41no—
1924C22—44no—
1925C22—42no—
1926C22—42no—
1927C22—41no—
1928C22—44no—
1929C22—41no—
1930C22—42no—
1931C22—44no—
1932C22—41no—
1933C22—42no—
1934C22—44no—
1935C22#354814yescomplemented
1936C22C24×D411yescharacteristic
1937C22C22×H(5,𝔽2)11yescharacteristic
1938C22C22×H(5,𝔽2)11yescharacteristic
1939C22C22×2−1+411yescharacteristic
1940C22C22×2−1+411yescharacteristic
1941C22C2×#58511yescharacteristic
1942C22H(7,𝔽2)11yescharacteristic
1943C4—22no—
1944C4—24no—
1945C4—28no—
1946C4—22no—
1947C4—22no—
1948C4—22no—
1949C4—22no—
1950C4—24no—
1951C4—24no—
1952C4—42no—
1953C4—44no—
1954C4—41no—
1955C4—42no—
1956C4—41no—
1957C4—42no—
1958C4—44no—
1959C4—42no—
1960C4—41no—
1961C4—42no—
1962C4—42no—
1963C4—41no—
1964C4—42no—
1965C4—42no—
1966C4—41no—
1967C4—42no—
1968C4—41no—
1969C4—42no—
1970C4#348614yes—
1971C4#348814yes—
1972C2—24no—
1973C2—44no—
1974C2—44no—
1975C2—84no—
1976C2—81no—
1977C2—82no—
1978C2C2×#354811yescharacteristic
1979C2C2×#348611yescharacteristic
1980C2C2×#348811yescharacteristic
1981C2#6292611yescharacteristic
1982C2#6294411yescharacteristic
1983C2D4×H(5,𝔽2)11yescharacteristic
1984C2#6301311yescharacteristic
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×#3548C2semidirect
2. C22×#554C2semidirect
3. #59823C2semidirect
4. #59155C2semidirect
5. #59136C2semidirect
6. #59057C2semidirect
7. #59002C2semidirect
8. #51888C2semidirect
9. #51777C2semidirect
10. #45445C2semidirect
11. #45034C2semidirect
12. #44996C2semidirect
13. #44948C2semidirect
14. #44915C2semidirect
15. #42479C2semidirect
16. #42477C2semidirect
17. #42439C2semidirect
18. #42434C2semidirect
19. #39598C2semidirect
20. #39470C2semidirect
21. #39169C2semidirect
22. #38952C2semidirect
23. #37706C2semidirect
24. #37649C2semidirect
25. #37649C2semidirect
26. #36576C2semidirect
27. #36122C2semidirect
28. #36103C2semidirect
29. #36101C2semidirect
30. #36101C2semidirect
31. #35226C2semidirect
32. #35223C2semidirect
33. #34691C2semidirect
34. #34681C2semidirect
35. #34484C2semidirect
37. C2×#562C22semidirect
48. C2×#554C22semidirect
49. C2×#554C22semidirect
52. C2×#550C22semidirect
55. C2×#547C22semidirect
56. C2×#547C22semidirect
58. C2×#540C22semidirect
59. C2×#537C22semidirect
60. C2×#537C22semidirect
61. C2×#537C22semidirect
62. C2×#533C22semidirect
64. C2×#532C22semidirect
76. #2858C22semidirect
77. #2857C22semidirect
84. #2816C22semidirect
85. #2814C22semidirect
86. #2732C22semidirect
87. #2730C22semidirect
88. #2729C22semidirect
89. #2720C22semidirect
90. #2711C22semidirect
91. #2711C22semidirect
92. #2707C22semidirect
93. #2707C22semidirect
94. #2704C22semidirect
95. #2704C22semidirect
96. #2700C22semidirect
97. #2696C22semidirect
98. #2692C22semidirect
99. #2692C22semidirect
100. #2687C22semidirect
101. #2683C22semidirect
102. #2683C22semidirect
103. #2683C22semidirect
104. #2681C22semidirect
105. #2681C22semidirect
106. #2681C22semidirect
107. #2681C22semidirect
108. #2681C22semidirect
109. #2680C22semidirect
110. #2676C22semidirect
111. #2676C22semidirect
112. #2676C22semidirect
113. #2676C22semidirect
114. #2672C22semidirect
115. #2672C22semidirect
116. #2672C22semidirect
117. #2672C22semidirect
118. #2672C22semidirect
119. #2641C22semidirect
122. #2629C22semidirect
123. #2620C22semidirect
124. #2620C22semidirect
125. #2618C22semidirect
126. #2618C22semidirect
127. #2616C22semidirect
128. #2616C22semidirect
129. #2584C22semidirect
130. #2567C22semidirect
131. #2566C22semidirect
132. #2563C22semidirect
133. #2556C22semidirect
134. #2552C22semidirect
135. #2550C22semidirect
136. #2550C22semidirect
137. #2548C22semidirect
138. #2548C22semidirect
139. #2545C22semidirect
140. #2542C22semidirect
143. #2540C22semidirect
144. #2540C22semidirect
147. #2538C22semidirect
148. #2538C22semidirect
149. #2538C22semidirect
150. #2538C22semidirect
151. #2501C22semidirect
152. #2492C22semidirect
153. #2491C22semidirect
154. #2491C22semidirect
155. #2490C22semidirect
156. #2490C22semidirect
157. #2486C22semidirect
159. #2473C22semidirect
161. #2465C22semidirect
164. #2462C22semidirect
166. #2461C22semidirect
172. #2454C22semidirect
173. #2454C22semidirect
174. #2454C22semidirect
175. #2454C22semidirect
177. #2452C22semidirect
178. #2452C22semidirect
179. #2452C22semidirect
180. #2451C22semidirect
184. #2449C22semidirect
185. #2449C22semidirect
186. #2446C22semidirect
194. #2443C22semidirect
198. #2440C22semidirect
199. #2440C22semidirect
204. #2432C22semidirect
205. #2432C22semidirect
206. #2429C22semidirect
207. #2429C22semidirect
210. #2427C22semidirect
211. #2426C22semidirect
212. #2426C22semidirect
218. #2423C22semidirect
225. #2417C22semidirect
226. #2417C22semidirect
227. #2417C22semidirect
228. #2417C22semidirect
229. #2417C22semidirect
237. #2416C22semidirect
238. #2416C22semidirect
239. #2416C22semidirect
240. #2416C22semidirect
241. #2415C22semidirect
244. #2413C22semidirect
250. #2407C22semidirect
251. #2407C22semidirect
252. #2407C22semidirect
253. #2406C22semidirect
254. #2399C22semidirect
255. #2396C22semidirect
258. #2378C22semidirect
259. #2370C22semidirect
260. #2369C22semidirect
264. #2362C22semidirect
269. #2361C22semidirect
272. Q8×C4⋊C4C22semidirect
275. D4×C4⋊C4C22semidirect
276. #2344C22semidirect
277. #2341C22semidirect
278. #2330C22semidirect
281. #2323C22semidirect
282. #2323C22semidirect
284. #2316C22semidirect
285. #2311C22semidirect
286. #2311C22semidirect
287. C4×C4⋊Q8C22semidirect
288. C4×C4⋊Q8C22semidirect
292. C4×C22⋊Q8C22semidirect
297. #2295C22semidirect
322. #554D4semidirect
1935. C22#3548semidirect

Maximal subgroups

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

subgroupindex
C2×#35482
C22×#5542
#598232
#591552
#591362
#590572
#590022
#518882
#517772
#454452
#450342
#449962
#449482
#449152
#424792
#424772
#424392
#424342
#395982
#394702
#391692
#389522
#377062
#376492
#365762
#361222
#361032
#361012
#352262
#352232
#346912
#346812
#344842