Finite Group Databasebeta

← #7681007

Subgroups — #7681007

Order 512.

8359 conjugacy classes of subgroups.

The subgroup lattice has 2111 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3508C211yesmaximal, characteristic, complemented
2C2×#3519C211yesmaximal, characteristic, complemented
3#59126C211yesmaximal, characteristic, complemented
4#59124C211yesmaximal, characteristic, complemented
5#59066C211yesmaximal, characteristic, complemented
6#59057C211yesmaximal, characteristic, complemented
7#59056C211yesmaximal, characteristic, complemented
8#59052C211yesmaximal, characteristic, complemented
9#59050C211yesmaximal, characteristic, complemented
10#59035C211yesmaximal, characteristic, complemented
11#59004C212yesmaximal, complemented
12#59003C212yesmaximal, complemented
13#59000C212yesmaximal, complemented
14#58999C212yesmaximal, complemented
15#45004C212yesmaximal, complemented
16#44899C212yesmaximal, complemented
17#44872C212yesmaximal, complemented
18#44870C212yesmaximal, complemented
19#44272C214yesmaximal, complemented
20#44228C214yesmaximal, complemented
21#39957C214yesmaximal, complemented
22#39953C212yesmaximal, complemented
23#39948C212yesmaximal, complemented
24#38424C214yesmaximal, complemented
25#36471C212yesmaximal, complemented
26#36260C212yesmaximal, complemented
27#35538C212yesmaximal, complemented
28#35538C212yesmaximal, complemented
29#35191C211yesmaximal, characteristic, complemented
30#35171C212yesmaximal, complemented
31#34936C211yesmaximal, characteristic, complemented
32#34911C211yesmaximal, characteristic, complemented
33#34310C212yesmaximal, complemented
34#34155C211yesmaximal, characteristic, complemented
35C4×#535C211yesmaximal, characteristic, complemented
36#3519—216no—
37#3508—216no—
38C2×#559C2212yescomplemented
39C2×#559C2212yescomplemented
40C2×#555C2211yescharacteristic, complemented
41C2×#554C2211yescharacteristic, complemented
42C2×#553C2212yescomplemented
43C2×#553C2212yescomplemented
44C2×#550C2211yescharacteristic
45C2×#550C2212yescomplemented
46C2×#550C2212yescomplemented
47C2×#547C2212yescomplemented
48C2×#546C2212yescomplemented
49C2×#546C2212yescomplemented
50C2×#546C2214yescomplemented
51C2×#546C2212yescomplemented
52C2×#546C2212yescomplemented
53C2×#546C2212yescomplemented
54C2×#546C2212yescomplemented
55C2×#546C2212yescomplemented
56C2×D42C2212yes—
57C2×D42C2211yescharacteristic
58C2×D42C2212yescomplemented
59C2×D42C2212yescomplemented
60C2×#540C2212yescomplemented
61C2×#540C2212yescomplemented
62C2×#540C2212yescomplemented
63C2×#538C2214yescomplemented
64C2×#535C2211yescharacteristic
65C2×#535C2212yescomplemented
66C2×#533C2211yescharacteristic, complemented
67C2×#532C2211yescharacteristic
68C2×#532C2211yescharacteristic, complemented
69C2×#532C2211yescharacteristic, complemented
70C2×#532C2211yescharacteristic, complemented
71C22×#127C2211yescharacteristic, complemented
72C2×#529C2211yescharacteristic, complemented
73C2×#525C2212yescomplemented
74C2×#525C2212yescomplemented
75C2×#525C2212yescomplemented
76C22×#121C2212yescomplemented
77C2×#518C2212yescomplemented
78C2×#518C2212yescomplemented
79C2×C4×#41C2211yescharacteristic, complemented
80C22×C4×D4C2211yescharacteristic, complemented
81#2861C2212yescomplemented
82#2858C2212yescomplemented
83#2856C2214yescomplemented
84#2854C2214yescomplemented
85#2733C2214yescomplemented
86#2732C2214yescomplemented
87#2730C2214yescomplemented
88#2730C2214yescomplemented
89#2718C2214yescomplemented
90#2710C2214yescomplemented
91#2706C2214yescomplemented
92#2703C2214yescomplemented
93#2685C2214yescomplemented
94#2682C2214yescomplemented
95#2679C2214yescomplemented
96#2678C2214yescomplemented
97#2678C2214yescomplemented
98#2678C2214yescomplemented
99#2673C2214yescomplemented
100#2673C2214yescomplemented
101#2671C2214yescomplemented
102#2671C2214yescomplemented
103#2670C2214yescomplemented
104#2669C2214yescomplemented
105#2669C2214yescomplemented
106#2669C2214yescomplemented
107#2668C2214yescomplemented
108#2668C2214yescomplemented
109#2661C2214yescomplemented
110#2661C2214yescomplemented
111#2661C2214yescomplemented
112#2604C2212yescomplemented
113#2603C2212yescomplemented
114#2603C2214yescomplemented
115#2602C2212yescomplemented
116#2602C2214yescomplemented
117#2602C2212yescomplemented
118#2602C2214yescomplemented
119#2592C2211yescharacteristic, complemented
120#2584C2211yescharacteristic, complemented
121#2562C2211yescharacteristic, complemented
122#2555C2214yescomplemented
123#2553C2214yescomplemented
124#2552C2212yescomplemented
125#2548C2211yescharacteristic, complemented
126#2547C2211yescharacteristic, complemented
127#2546C2211yescharacteristic, complemented
128#2542C2211yescharacteristic, complemented
129#2542C2211yescharacteristic, complemented
130#2542C2212yescomplemented
131#2541C2211yescharacteristic
132#2541C2212yescomplemented
133#2541C2212yescomplemented
134#2541C2211yescharacteristic, complemented
135#2541C2211yescharacteristic, complemented
136#2541C2212yescomplemented
137#2540C2212yescomplemented
138#2540C2211yescharacteristic, complemented
139#2540C2212yescomplemented
140#2540C2212yescomplemented
141#2540C2212yescomplemented
142#2539C2214yescomplemented
143#2539C2214yescomplemented
144#2539C2214yescomplemented
145#2539C2214yescomplemented
146#2539C2214yescomplemented
147#2537C2212yescomplemented
148#2521C2214yescomplemented
149#2501C2212yescomplemented
150#2501C2214yescomplemented
151#2490C2212yescomplemented
152#2490C2212yescomplemented
153#2464C2214yescomplemented
154#2464C2214yescomplemented
155#2464C2214yescomplemented
156#2456C2214yescomplemented
157#2456C2214yescomplemented
158#2455C2214yescomplemented
159#2455C2214yescomplemented
160#2454C2212yescomplemented
161#2454C2212yescomplemented
162#2448C2214yescomplemented
163#2445C2214yescomplemented
164#2445C2212yescomplemented
165#2445C2212yescomplemented
166#2443C2214yescomplemented
167#2443C2214yescomplemented
168#2441C2212yescomplemented
169#2441C2212yescomplemented
170#2435C2212yescomplemented
171#2433C2212yes—
172#2433C2212yescomplemented
173#2433C2214yescomplemented
174#2433C2212yescomplemented
175#2433C2214yescomplemented
176#2433C2212yescomplemented
177#2432C2212yescomplemented
178#2432C2212yescomplemented
179#2431C2212yescomplemented
180#2431C2214yescomplemented
181#2431C2212yescomplemented
182#2429C2212yescomplemented
183#2428C2212yescomplemented
184#2428C2212yescomplemented
185#2428C2212yescomplemented
186#2428C2212yescomplemented
187#2428C2214yescomplemented
188#2428C2212yescomplemented
189#2428C2212yescomplemented
190#2428C2212yescomplemented
191#2427C2212yescomplemented
192#2427C2212yescomplemented
193#2427C2212yescomplemented
194#2426C2212yescomplemented
195#2424C2214yescomplemented
196#2424C2214yescomplemented
197#2423C2214yescomplemented
198#2422C2214yescomplemented
199#2422C2214yescomplemented
200#2422C2212yescomplemented
201#2422C2212yescomplemented
202#2418C2214yescomplemented
203#2418C2214yescomplemented
204#2418C2214yescomplemented
205#2418C2214yescomplemented
206#2417C2212yescomplemented
207#2416C2212yescomplemented
208#2415C2212yescomplemented
209#2415C2211yescharacteristic, complemented
210#2415C2211yescharacteristic, complemented
211#2414C2211yescharacteristic
212#2414C2214yescomplemented
213#2414C2212yescomplemented
214#2414C2214yescomplemented
215#2414C2212yescomplemented
216#2414C2212yescomplemented
217#2414C2212yescomplemented
218#2414C2211yescharacteristic, complemented
219#2414C2212yescomplemented
220#2411C2214yescomplemented
221#2411C2214yescomplemented
222#2410C2214yescomplemented
223#2410C2214yescomplemented
224#2408C2212yescomplemented
225#2408C2212yescomplemented
226#2408C2214yescomplemented
227#2408C2212yescomplemented
228#2408C2212yescomplemented
229#2407C2212yescomplemented
230#2407C2212yescomplemented
231#2407C2214yescomplemented
232#2403C2214yescomplemented
233#2403C2214yescomplemented
234#2397C2214yescomplemented
235#2395C2212yescomplemented
236#2388C2212yescomplemented
237#2372C2214yescomplemented
238#2369C2211yescharacteristic, complemented
239#2369C2211yescharacteristic, complemented
240#2366C2212yescomplemented
241#2366C2211yescharacteristic, complemented
242#2366C2211yescharacteristic, complemented
243#2363C2212yes—
244#2363C2212yescomplemented
245#2363C2212yescomplemented
246#2363C2212yescomplemented
247#2363C2212yescomplemented
248#2363C2212yescomplemented
249#2363C2212yescomplemented
250#2362C2212yescomplemented
251#2361C2214yescomplemented
252#2361C2212yescomplemented
253#2360C2212yescomplemented
254#2358C2214yescomplemented
255#2358C2214yescomplemented
256#2354C2212yescomplemented
257D4×C4⋊C4C2212yescomplemented
258D4×C22⋊C4C2212yescomplemented
259D4×C22⋊C4C2212yescomplemented
260D4×C22⋊C4C2214yescomplemented
261#2328C2212yescomplemented
262#2326C2212yescomplemented
263#2324C2211yescharacteristic
264#2324C2212yescomplemented
265#2324C2211yescharacteristic, complemented
266#2324C2211yescharacteristic, complemented
267#2324C2211yescharacteristic, complemented
268#2324C2212yescomplemented
269#2321C2214yescomplemented
270#2321C2214yescomplemented
271#2321C2212yescomplemented
272#2321C2212yescomplemented
273#2317C2211yescharacteristic, complemented
274#2311C2211yescharacteristic, complemented
275#2309C2211yescharacteristic, complemented
276C4×#127C2212yescomplemented
277C4×#127C2212yescomplemented
278C4×#127C2212yescomplemented
279C4×#124C2212yescomplemented
280C4×C22⋊Q8C2211yescharacteristic, complemented
281C4×C22⋊Q8C2211yescharacteristic, complemented
282C4×#121C2211yescharacteristic
283C4×#121C2214yescomplemented
284C4×#121C2211yescharacteristic, complemented
285C4×#121C2211yescharacteristic, complemented
286C4×#121C2211yescharacteristic, complemented
287C4×#121C2211yescharacteristic, complemented
288C4×#121C2211yescharacteristic, complemented
289C4×#120C2212yescomplemented
290C4×#120C2212yescomplemented
291#2297C2214yescomplemented
292#2293C2212yescomplemented
293#2293C2212yescomplemented
294#2293C2212yescomplemented
295#2293C2212yescomplemented
296C2×#390C2214yescomplemented
297C42×D4C2212yescomplemented
298C42×D4C2212yescomplemented
299C4×#117C2211yescharacteristic, complemented
300C4×#117C2211yescharacteristic, complemented
301C22×#41C2311yescharacteristic
302C22×#41C2312yes—
303C22×#41C2312yes—
304C22×#41C2312yes—
305C22×#41C2312yes—
306C22×#41C2312yes—
307C23×D4C2311yescharacteristic
308C23×D4C2312yes—
309C23×D4C2312yes—
310C23×D4C2312yes—
311C23×D4C2312yes—
312C23×D4C2314yes—
313C23×D4C2312yes—
314C23×D4C2314yes—
315C24×C4C2312yes—
316#559—216no—
317#559—216no—
318#555—28no—
319#554—28no—
320#553—216no—
321#553—216no—
322#550—216no—
323#550—28no—
324#550—216no—
325#547—48no—
326#546—216no—
327#546—232no—
328#546—216no—
329#546—216no—
330#546—216no—
331#546—216no—
332#546—48no—
333#546—48no—
334D42—28no—
335D42—216no—
336D42—216no—
337D42—48no—
338#540—216no—
339#540—216no—
340#540—216no—
341#538—232no—
342#535—216no—
343#535—28no—
344#533—28no—
345#532—28no—
346#532—28no—
347#532—28no—
348#532D4116yescomplemented
349C2×C4⋊Q8C2311yescharacteristic
350C2×C4⋊Q8C2312yes—
351C2×C4⋊Q8C2311yescharacteristic
352C2×#127—28no—
353C2×#127C2312yes—
354C2×#127C2312yes—
355C2×#127C2312yes—
356C2×#127C2314yes—
357C2×#127C2311yescharacteristic
358C2×#127C2312yes—
359C2×#127C2312yes—
360C2×#127C2312yes—
361C2×#127C2312yes—
362C2×#127C2312yes—
363C2×#127C2314yes—
364C2×#127C2311yescharacteristic
365#529—28no—
366C2×#126C2312yes—
367C2×#126C2314yes—
368C2×#125C2311yescharacteristic
369C2×#125C2312yes—
370C2×#125C2312yes—
371C2×#124C2312yes—
372C2×#124C2311yescharacteristic
373C2×#124C2312yes—
374C2×#124C2314yes—
375C2×#124C2312yes—
376C2×#124C2312yes—
377C2×#124C2314yes—
378C2×#124C2312yes—
379C2×#124C2312yes—
380C2×#124C2312yes—
381#525—216no—
382#525—48no—
383#525—48no—
384C2×#123C2314yes—
385C2×#123C2314yes—
386C2×#123C2312yes—
387C2×#123C2314yes—
388C2×#123C2314yes—
389C2×#123C2314yes—
390C2×#123C2314yes—
391C2×#123C2314yes—
392C2×#123C2314yes—
393C2×#123C2314yes—
394C2×#123C2314yes—
395C2×#123C2314yes—
396C2×#123C2314yes—
397C2×#123C2314yes—
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2312yes—
400C2×C22⋊Q8C2314yes—
401C2×C22⋊Q8C2311yescharacteristic
402C2×C22⋊Q8C2312yes—
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2311yescharacteristic
405C2×C22⋊Q8C2311yescharacteristic
406C2×C22⋊Q8C2312yes—
407C2×C22⋊Q8C2312yes—
408C2×C22⋊Q8C2312yes—
409C2×#121—216no—
410C2×#121C2312yes—
411C2×#121C2311yescharacteristic
412C2×#121C2311yescharacteristic
413C2×#121C2311yescharacteristic
414C2×#121C2314yes—
415C2×#121C2314yes—
416C2×#121C2312yes—
417C2×#121C2314yes—
418C2×#121C2312yes—
419C2×#121C2312yes—
420C2×#121C2312yes—
421C2×#121C2312yes—
422C2×#121C2314yes—
423C2×#121C2312yes—
424C2×#121C2312yes—
425C2×#121C2311yescharacteristic
426C2×#121C2314yes—
427C2×#121C2314yes—
428C2×#121C2312yes—
429C2×#121C2314yes—
430C2×#121C2314yes—
431C2×#121C2312yes—
432C2×#121C2314yes—
433C2×#121C2311yescharacteristic
434C2×#121C2312yes—
435C2×#121C2312yes—
436C2×#121C2312yes—
437C2×#121C2312yes—
438C2×#121C2311yescharacteristic
439C2×#121C2314yes—
440C2×#121C2312yes—
441C2×#121C2314yes—
442C2×#121C2314yes—
443C2×#121C2314yes—
444C2×#121C2314yes—
445C2×#121C2312yes—
446C2×#121C2312yes—
447C2×#121C2314yes—
448C2×#121C2314yes—
449C2×#121C2314yes—
450C2×#121C2312yes—
451C2×#121C2312yes—
452C2×#121C2311yescharacteristic
453C2×#120C2314yes—
454C2×#120C2314yes—
455C2×#120C2312yes—
456C2×#120C2312yes—
457C2×#120C2314yes—
458C2×#120C2314yes—
459C2×#120C2314yes—
460C2×#120C2314yes—
461C2×#120C2314yes—
462C2×#120C2314yes—
463C2×#120C2314yes—
464C2×#120C2314yes—
465C2×#120C2314yes—
466C2×#120C2314yes—
467C2×#120C2314yes—
468C2×#120C2314yes—
469C2×#120C2314yes—
470#518—216no—
471#518—216no—
472C4×#41—28no—
473C2×C4×Q8C2311yescharacteristic
474C2×C4×Q8C2311yescharacteristic
475C2×C4×Q8C2312yes—
476C2×C4×Q8C2311yescharacteristic
477C2×C4×Q8C2312yes—
478C2×C4×D4—28no—
479C2×C4×D4C2311yescharacteristic
480C2×C4×D4C2311yescharacteristic
481C2×C4×D4C2311yescharacteristic
482C2×C4×D4C2312yes—
483C2×C4×D4C2312yes—
484C2×C4×D4C2311yescharacteristic
485C2×C4×D4C2311yescharacteristic
486C2×C4×D4C2314yes—
487C2×C4×D4C2314yes—
488C2×C4×D4C2312yes—
489C2×C4×D4C2311yescharacteristic
490C2×C4×D4C2312yes—
491C2×C4×D4C2312yes—
492C2×C4×D4C2312yes—
493C2×C4×D4C2312yes—
494C2×C4×D4C2312yes—
495C2×C4×D4C2314yes—
496C2×C4×D4C2314yes—
497C2×C4×D4C2312yes—
498C2×C4×D4C2312yes—
499C2×C4×D4C2312yes—
500C2×C4×D4C2312yes—
501C2×C4×D4C2312yes—
502C2×C4×D4C2312yes—
503C2×C4×D4C2311yescharacteristic
504C2×C4×D4C2311yescharacteristic
505C2×C4×D4C2311yescharacteristic
506C2×C4×D4C2311yescharacteristic
507C2×C4×D4C2314yes—
508C2×C4×D4C2311yescharacteristic
509C2×C4×D4C2312yes—
510C2×C4×D4C2314yes—
511C2×C4×D4C2314yes—
512C2×C4×D4C2314yes—
513C2×C4×D4C2314yes—
514C2×C4×D4C2312yes—
515C2×C4×D4C2312yes—
516C2×C4×D4C2312yes—
517C2×C4×D4C2312yes—
518C2×C4×D4C2312yes—
519C2×C4×D4C2312yes—
520C2×C4×D4C2314yes—
521C2×C4×D4C2312yes—
522C2×C4×D4C2312yes—
523C2×#117C2311yescharacteristic
524C2×#117C2311yescharacteristic
525C2×#117C2311yescharacteristic
526C2×#117C2311yescharacteristic
527C2×#117C2312yes—
528C2×#117C2312yes—
529C2×#117C2312yes—
530C2×#117C2312yes—
531C2×#117C2311yescharacteristic
532C2×#117C2311yescharacteristic
533C2×#117C2311yescharacteristic
534C2×#117C2314yes—
535C22×C4⋊C4C2311yescharacteristic
536C22×C4⋊C4C2312yes—
537C22×C4⋊C4C2314yes—
538C22×C22⋊C4C2312yes—
539C22×C22⋊C4C2314yes—
540C22×C22⋊C4C2314yes—
541C22×C22⋊C4C2314yes—
542C22×C22⋊C4C2314yes—
543C22×C22⋊C4C2314yes—
544C22×C22⋊C4C2314yes—
545C22×C42C2311yescharacteristic
546C22×C42C2311yescharacteristic
547C22×C42C2314yes—
548C22×C42C2311yescharacteristic
549#400C2312yes—
550#399C2312yes—
551#399C2314yes—
552#399C2314yes—
553#399C2314yes—
554#399C2314yes—
555#399C2314yes—
556#399C2314yes—
557#399C2314yes—
558#399C2314yes—
559#398C2312yes—
560#398C2314yes—
561#398C2314yes—
562#398C2314yes—
563#397C2312yes—
564#397C2312yes—
565#397C2312yes—
566#397C2314yes—
567#397C2314yes—
568#397C2314yes—
569#397C2314yes—
570#397C2314yes—
571#396C2314yes—
572#396C2314yes—
573#396C2314yes—
574#396C2314yes—
575#395C2312yes—
576#394C2312yes—
577#394C2312yes—
578#394C2312yes—
579#394C2312yes—
580#394C2312yes—
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#394C2314yes—
595#394C2314yes—
596#394C2314yes—
597#394C2314yes—
598#394C2314yes—
599#394C2314yes—
600#394C2314yes—
601#394C2314yes—
602#393C2312yes—
603#392C2312yes—
604#392C2312yes—
605#392C2314yes—
606#392C2314yes—
607#392C2312yes—
608#392C2314yes—
609#392C2314yes—
610#392C2314yes—
611#392C2314yes—
612#392C2314yes—
613#392C2314yes—
614#392C2314yes—
615#392C2314yes—
616#392C2314yes—
617#392C2314yes—
618#392C2314yes—
619#392C2314yes—
620#392C2314yes—
621#392C2314yes—
622#392C2314yes—
623#392C2314yes—
624#392C2314yes—
625#392C2314yes—
626#392C2314yes—
627#392C2314yes—
628#392C2314yes—
629#391C2312yes—
630#391C2311yescharacteristic
631#391C2311yescharacteristic
632#391C2312yes—
633#391C2312yes—
634#391C2314yes—
635#391C2314yes—
636#390C2312yes—
637#390C2312yes—
638#390C2312yes—
639#390C2314yes—
640#390C2312yes—
641#390C2312yes—
642#390C2312yes—
643#390C2312yes—
644#390C2312yes—
645#390C2314yes—
646#390C2314yes—
647#390C2314yes—
648#390C2312yes—
649#390C2312yes—
650#390C2311yescharacteristic
651#390C2311yescharacteristic
652#390C2311yescharacteristic
653#390C2311yescharacteristic
654#390C2312yes—
655#390C2314yes—
656#390C2312yes—
657#390C2314yes—
658#390C2312yes—
659#390C2311yescharacteristic
660#390C2311yescharacteristic
661#390C2312yes—
662#390C2314yes—
663#390C2314yes—
664#390C2312yes—
665#390C2314yes—
666#390C2314yes—
667#390C2312yes—
668#390C2314yes—
669#390C2314yes—
670#390C2312yes—
671#390C2312yes—
672#390C2312yes—
673#390C2314yes—
674#390C2314yes—
675#390C2314yes—
676#390C2314yes—
677#390C2314yes—
678#390C2312yes—
679#390C2312yes—
680#390C2312yes—
681#390C2312yes—
682#390C2314yes—
683#390C2314yes—
684#389C2311yescharacteristic
685#389C2311yescharacteristic
686#389C2311yescharacteristic
687#389C2311yescharacteristic
688#389C2312yes—
689#389C2312yes—
690#389C2312yes—
691#389C2312yes—
692#389C2311yescharacteristic
693#389C2311yescharacteristic
694#389C2311yescharacteristic
695#389C2311yescharacteristic
696#389C2314yes—
697#389C2312yes—
698#389C2312yes—
699#389C2312yes—
700#389C2312yes—
701#389C2312yes—
702#389C2312yes—
703#389C2314yes—
704#389C2314yes—
705#388C2312yes—
706#388C2312yes—
707#388C2312yes—
708#388C2312yes—
709#388C2312yes—
710#388C2314yes—
711#388C2312yes—
712#388C2312yes—
713#388C2312yes—
714#388C2312yes—
715#388C2312yes—
716#388C2312yes—
717#388C2314yes—
718#388C2314yes—
719#388C2314yes—
720#388C2314yes—
721#388C2314yes—
722#388C2312yes—
723#388C2314yes—
724#388C2314yes—
725#388C2312yes—
726#388C2312yes—
727#388C2314yes—
728#388C2314yes—
729#388C2314yes—
730#388C2314yes—
731#388C2312yes—
732#388C2312yes—
733#388C2312yes—
734#388C2312yes—
735#388C2314yes—
736#388C2314yes—
737#388C2314yes—
738#388C2314yes—
739#387C2312yes—
740#387C2312yes—
741#387C2314yes—
742#387C2314yes—
743#386C2312yes—
744#386C2312yes—
745#386C2312yes—
746#386C2312yes—
747#386C2312yes—
748#386C2312yes—
749#386C2314yes—
750#386C2314yes—
751#386C2314yes—
752#386C2314yes—
753#386C2314yes—
754#386C2314yes—
755#386C2312yes—
756#386C2312yes—
757#386C2312yes—
758#386C2312yes—
759#386C2314yes—
760#386C2314yes—
761#386C2314yes—
762#386C2314yes—
763#386C2314yes—
764#386C2314yes—
765#386C2312yes—
766#386C2312yes—
767#386C2314yes—
768#386C2314yes—
769#386C2314yes—
770#386C2314yes—
771#386C2314yes—
772#386C2314yes—
773#386C2314yes—
774#386C2314yes—
775#385C2312yes—
776#385C2312yes—
777#385C2314yes—
778#385C2314yes—
779#385C2312yes—
780#385C2312yes—
781#385C2312yes—
782#385C2312yes—
783#385C2314yes—
784#385C2314yes—
785#385C2312yes—
786#385C2312yes—
787#385C2314yes—
788#385C2314yes—
789#385C2314yes—
790#385C2314yes—
791#384C2312yes—
792#384C2312yes—
793#384C2312yes—
794#384C2314yes—
795#382C2312yes—
796#380C2311yescharacteristic
797#380C2311yescharacteristic
798#380C2311yescharacteristic
799#380C2311yescharacteristic
800#380C2311yescharacteristic
801#380C2311yescharacteristic
802#380C2311yescharacteristic
803#380C2311yescharacteristic
804#380C2312yes—
805#380C2312yes—
806#380C2314yes—
807#380C2314yes—
808#380C2314yes—
809#380C2314yes—
810#379C2312yes—
811#379C2312yes—
812#379C2314yes—
813#379C2314yes—
814#379C2314yes—
815#379C2314yes—
816C4×C4⋊C4C2311yescharacteristic
817C4×C4⋊C4C2311yescharacteristic
818C4×C4⋊C4C2311yescharacteristic
819C4×C4⋊C4C2311yescharacteristic
820C4×C4⋊C4C2312yes—
821C4×C4⋊C4C2314yes—
822C4×C4⋊C4C2312yes—
823C4×C4⋊C4C2312yes—
824C4×C4⋊C4C2312yes—
825C4×C4⋊C4C2312yes—
826C4×C4⋊C4C2311yescharacteristic
827C4×C4⋊C4C2311yescharacteristic
828C4×C4⋊C4C2311yescharacteristic
829C4×C4⋊C4C2311yescharacteristic
830C4×C4⋊C4C2312yes—
831C4×C22⋊C4C2312yes—
832C4×C22⋊C4C2314yes—
833C4×C22⋊C4C2314yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2314yes—
838C4×C22⋊C4C2314yes—
839C4×C22⋊C4C2314yes—
840C4×C22⋊C4C2314yes—
841C4×C22⋊C4C2312yes—
842C4×C22⋊C4C2312yes—
843C4×C22⋊C4C2312yes—
844C4×C22⋊C4C2312yes—
845C4×C22⋊C4C2312yes—
846C4×C22⋊C4C2314yes—
847C4×C22⋊C4C2314yes—
848C4×C22⋊C4C2312yes—
849C4×C22⋊C4C2312yes—
850C4×C22⋊C4C2312yes—
851#376C2312yes—
852#376C2312yes—
853C43C2312yes—
854C43C2312yes—
855C25C2414yes—
856C25C2414yes—
857C25C2412yes—
858C2×#41—28no—
859C2×#41—28no—
860C2×#41—28no—
861C2×#41—24no—
862C2×#41—28no—
863C2×#41—24no—
864C2×#41—42no—
865C2×#41—44no—
866C2×#41—44no—
867C2×#41—44no—
868C2×#41—44no—
869C2×#41—44no—
870C2×#41—44no—
871C2×#41—82no—
872C2×#41—82no—
873C2×#41—82no—
874C2×#41—82no—
875C2×#41C2×D4116yescomplemented
876C22×Q8C2411yescharacteristic
877C22×Q8C2412yes—
878C22×Q8C2411yescharacteristic
879C22×Q8C2412yes—
880C22×D4—28no—
881C22×D4—28no—
882C22×D4—24no—
883C22×D4—28no—
884C22×D4—28no—
885C22×D4—216no—
886C22×D4—28no—
887C22×D4—28no—
888C22×D4—216no—
889C22×D4—24no—
890C22×D4—28no—
891C22×D4—42no—
892C22×D4—44no—
893C22×D4—44no—
894C22×D4—48no—
895C22×D4—44no—
896C22×D4—44no—
897C22×D4—44no—
898C22×D4—44no—
899C22×D4—84no—
900C22×D4—82no—
901C22×D4—82no—
902C22×D4—84no—
903C22×D4—84no—
904C22×D4C2411yescharacteristic
905C22×D4C2412yes—
906C22×D4C2411yescharacteristic
907C22×D4C2412yes—
908C22×D4C2411yescharacteristic
909C22×D4C2411yescharacteristic
910C22×D4C2414yes—
911C22×D4C2412yes—
912C22×D4C2414yes—
913C22×D4C2411yescharacteristic
914C22×D4C2414yes—
915C22×D4C2412yes—
916C22×D4C2412yes—
917C22×D4C2412yes—
918C22×D4C2411yescharacteristic
919C22×D4C2412yes—
920C22×D4C2414yes—
921C22×D4C2412yes—
922C22×D4C2414yes—
923C22×D4C2412yes—
924C22×D4C2412yes—
925C22×D4C2412yes—
926C22×D4C2412yes—
927C22×D4C2414yes—
928C22×D4C2414yes—
929C22×D4C2414yes—
930C22×D4C2414yes—
931C22×D4C2414yes—
932C22×D4C2414yes—
933C22×D4C2414yes—
934C22×D4C2414yes—
935C22×D4C2414yes—
936C22×D4C2414yes—
937C22×D4C2414yes—
938C22×D4C2414yes—
939C22×D4C2414yes—
940C22×D4C2412yes—
941C22×D4C2412yes—
942C23×C4—28no—
943C23×C4—44no—
944C23×C4—44no—
945C23×C4C2412yes—
946C23×C4C2412yes—
947C23×C4C2412yes—
948C23×C4C2411yescharacteristic
949C23×C4C2411yescharacteristic
950C23×C4C2411yescharacteristic
951C23×C4C2414yes—
952C23×C4C2411yescharacteristic
953C23×C4C2411yescharacteristic
954C23×C4C2411yescharacteristic
955C23×C4C2414yes—
956C23×C4C2414yes—
957C23×C4C2412yes—
958C23×C4C2414yes—
959C23×C4C2414yes—
960C23×C4C2412yes—
961C23×C4C2414yes—
962C23×C4C2414yes—
963C23×C4C2412yes—
964C23×C4C2411yescharacteristic
965C23×C4C2411yescharacteristic
966C23×C4C2414yes—
967C23×C4C2411yescharacteristic
968C4⋊Q8—24no—
969C4⋊Q8—44no—
970C4⋊Q8C2×D418yescomplemented
971#127—28no—
972#127—28no—
973#127—28no—
974#127—216no—
975#127—28no—
976#127—28no—
977#127—28no—
978#127—24no—
979#127—44no—
980#127—44no—
981#127—84no—
982#127C2×D418yes—
983#126—216no—
984#126—28no—
985#125—28no—
986#125—28no—
987#125—24no—
988#124—28no—
989#124—216no—
990#124—28no—
991#124—216no—
992#124—28no—
993#124—24no—
994#124—28no—
995#124—44no—
996#124—44no—
997#124C2×D4116yescomplemented
998#123—28no—
999#123—216no—
1000#123—216no—
1001#123—216no—
1002#123—216no—
1003#123—216no—
1004#123—216no—
1005#123—216no—
1006#123—48no—
1007#123—48no—
1008#123—48no—
1009#123—48no—
1010#123—48no—
1011#123—48no—
1012C22⋊Q8—28no—
1013C22⋊Q8—216no—
1014C22⋊Q8—24no—
1015C22⋊Q8—28no—
1016C22⋊Q8—28no—
1017C22⋊Q8—28no—
1018C22⋊Q8—28no—
1019C22⋊Q8—24no—
1020C22⋊Q8—24no—
1021C22⋊Q8—44no—
1022C22⋊Q8—44no—
1023#121—216no—
1024#121—28no—
1025#121—28no—
1026#121—28no—
1027#121—28no—
1028#121—216no—
1029#121—28no—
1030#121—216no—
1031#121—216no—
1032#121—24no—
1033#121—24no—
1034#121—28no—
1035#121—28no—
1036#121—216no—
1037#121—216no—
1038#121—24no—
1039#121—28no—
1040#121—28no—
1041#121—28no—
1042#121—28no—
1043#121—24no—
1044#121—28no—
1045#121—28no—
1046#121—28no—
1047#121—24no—
1048#121—24no—
1049#121—216no—
1050#121—216no—
1051#121—216no—
1052#121—216no—
1053#121—48no—
1054#121—48no—
1055#121—44no—
1056#121—44no—
1057#121—44no—
1058#121—48no—
1059#121—48no—
1060#121—84no—
1061#121—84no—
1062#121—84no—
1063#121C2×D4116yescomplemented
1064#121C2×D4116yescomplemented
1065#121#4118yescomplemented
1066#120—216no—
1067#120—216no—
1068#120—216no—
1069#120—28no—
1070#120—216no—
1071#120—216no—
1072#120—216no—
1073#120—28no—
1074#120—216no—
1075#120—48no—
1076#120—48no—
1077#120—48no—
1078#120—48no—
1079#120—48no—
1080#120—48no—
1081#120—84no—
1082#120—84no—
1083C4×Q8—28no—
1084C4×Q8—28no—
1085C4×Q8—24no—
1086C4×Q8—24no—
1087C4×Q8—24no—
1088C4×D4—28no—
1089C4×D4—28no—
1090C4×D4—216no—
1091C4×D4—28no—
1092C4×D4—24no—
1093C4×D4—24no—
1094C4×D4—24no—
1095C4×D4—24no—
1096C4×D4—216no—
1097C4×D4—216no—
1098C4×D4—28no—
1099C4×D4—28no—
1100C4×D4—28no—
1101C4×D4—28no—
1102C4×D4—28no—
1103C4×D4—28no—
1104C4×D4—28no—
1105C4×D4—28no—
1106C4×D4—216no—
1107C4×D4—216no—
1108C4×D4—24no—
1109C4×D4—28no—
1110C4×D4—24no—
1111C4×D4—24no—
1112C4×D4—28no—
1113C4×D4—24no—
1114C4×D4—24no—
1115C4×D4—24no—
1116C4×D4—28no—
1117C4×D4—24no—
1118C4×D4—28no—
1119C4×D4—48no—
1120C4×D4—48no—
1121C4×D4—44no—
1122C4×D4—48no—
1123C4×D4—48no—
1124C4×D4—44no—
1125C4×D4—44no—
1126C4×D4—44no—
1127C4×D4—44no—
1128C4×D4—44no—
1129C4×D4—84no—
1130C4×D4C2×D4116yescomplemented
1131C4×D4C2×D4116yescomplemented
1132#117—24no—
1133#117—28no—
1134#117—28no—
1135#117—28no—
1136#117—24no—
1137#117—24no—
1138#117—24no—
1139#117—24no—
1140#117—24no—
1141#117—28no—
1142#117—42no—
1143#117—84no—
1144C2×C4⋊C4—24no—
1145C2×C4⋊C4—28no—
1146C2×C4⋊C4—48no—
1147C2×C4⋊C4C2411yescharacteristic
1148C2×C4⋊C4C2412yes—
1149C2×C4⋊C4C2411yescharacteristic
1150C2×C4⋊C4C2411yescharacteristic
1151C2×C4⋊C4C2412yes—
1152C2×C4⋊C4C2414yes—
1153C2×C4⋊C4C2414yes—
1154C2×C4⋊C4C2411yescharacteristic
1155C2×C4⋊C4C2411yescharacteristic
1156C2×C4⋊C4C2411yescharacteristic
1157C2×C4⋊C4C2412yes—
1158C2×C4⋊C4C2412yes—
1159C2×C4⋊C4C2412yes—
1160C2×C4⋊C4C2411yescharacteristic
1161C2×C4⋊C4C2411yescharacteristic
1162C2×C4⋊C4C2411yescharacteristic
1163C2×C4⋊C4C2411yescharacteristic
1164C2×C4⋊C4C2411yescharacteristic
1165C2×C4⋊C4C2411yescharacteristic
1166C2×C4⋊C4C2411yescharacteristic
1167C2×C4⋊C4C2411yescharacteristic
1168C2×C4⋊C4C2411yescharacteristic
1169C2×C4⋊C4C2412yes—
1170C2×C4⋊C4C2412yes—
1171C2×C4⋊C4C2412yes—
1172C2×C4⋊C4C2414yes—
1173C2×C4⋊C4C2414yes—
1174C2×C4⋊C4C2412yes—
1175C2×C4⋊C4C2414yes—
1176C2×C4⋊C4C2414yes—
1177C2×C4⋊C4C2412yes—
1178C2×C4⋊C4C2412yes—
1179C2×C4⋊C4C2414yes—
1180C2×C4⋊C4C2414yes—
1181C2×C4⋊C4C2414yes—
1182C2×C4⋊C4C2412yes—
1183C2×C4⋊C4C2412yes—
1184C2×C4⋊C4C2414yes—
1185C2×C4⋊C4C2414yes—
1186C2×C4⋊C4C2412yes—
1187C2×C4⋊C4C2412yes—
1188C2×C4⋊C4C2412yes—
1189C2×C4⋊C4C2412yes—
1190C2×C4⋊C4C2414yes—
1191C2×C4⋊C4C2412yes—
1192C2×C4⋊C4C2412yes—
1193C2×C4⋊C4C2411yescharacteristic
1194C2×C4⋊C4C2411yescharacteristic
1195C2×C4⋊C4C2411yescharacteristic
1196C2×C22⋊C4—28no—
1197C2×C22⋊C4—216no—
1198C2×C22⋊C4—216no—
1199C2×C22⋊C4—216no—
1200C2×C22⋊C4—216no—
1201C2×C22⋊C4—48no—
1202C2×C22⋊C4—48no—
1203C2×C22⋊C4C2411yescharacteristic
1204C2×C22⋊C4C2411yescharacteristic
1205C2×C22⋊C4C2412yes—
1206C2×C22⋊C4C2414yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2414yes—
1209C2×C22⋊C4C2412yes—
1210C2×C22⋊C4C2412yes—
1211C2×C22⋊C4C2412yes—
1212C2×C22⋊C4C2412yes—
1213C2×C22⋊C4C2414yes—
1214C2×C22⋊C4C2414yes—
1215C2×C22⋊C4C2412yes—
1216C2×C22⋊C4C2414yes—
1217C2×C22⋊C4C2414yes—
1218C2×C22⋊C4C2414yes—
1219C2×C22⋊C4C2412yes—
1220C2×C22⋊C4C2414yes—
1221C2×C22⋊C4C2414yes—
1222C2×C22⋊C4C2411yescharacteristic
1223C2×C22⋊C4C2411yescharacteristic
1224C2×C22⋊C4C2411yescharacteristic
1225C2×C22⋊C4C2411yescharacteristic
1226C2×C22⋊C4C2412yes—
1227C2×C22⋊C4C2412yes—
1228C2×C22⋊C4C2412yes—
1229C2×C22⋊C4C2414yes—
1230C2×C22⋊C4C2412yes—
1231C2×C22⋊C4C2412yes—
1232C2×C22⋊C4C2414yes—
1233C2×C22⋊C4C2414yes—
1234C2×C22⋊C4C2412yes—
1235C2×C22⋊C4C2414yes—
1236C2×C22⋊C4C2412yes—
1237C2×C22⋊C4C2412yes—
1238C2×C22⋊C4C2414yes—
1239C2×C22⋊C4C2414yes—
1240C2×C22⋊C4C2414yes—
1241C2×C22⋊C4C2414yes—
1242C2×C22⋊C4C2414yes—
1243C2×C22⋊C4C2414yes—
1244C2×C22⋊C4C2412yes—
1245C2×C22⋊C4C2414yes—
1246C2×C22⋊C4C2412yes—
1247C2×C22⋊C4C2412yes—
1248C2×C22⋊C4C2412yes—
1249C2×C22⋊C4C2412yes—
1250C2×C22⋊C4C2412yes—
1251C2×C22⋊C4C2412yes—
1252C2×C22⋊C4C2414yes—
1253C2×C22⋊C4C2414yes—
1254C2×C22⋊C4C2414yes—
1255C2×C22⋊C4C2414yes—
1256C2×C22⋊C4C2412yes—
1257C2×C22⋊C4C2412yes—
1258C2×C22⋊C4C2412yes—
1259C2×C22⋊C4C2412yes—
1260C2×C22⋊C4C2414yes—
1261C2×C22⋊C4C2414yes—
1262C2×C22⋊C4C2412yes—
1263C2×C22⋊C4C2412yes—
1264C2×C22⋊C4C2414yes—
1265C2×C22⋊C4C2414yes—
1266C2×C22⋊C4C2414yes—
1267C2×C22⋊C4C2412yes—
1268C2×C22⋊C4C2412yes—
1269C2×C22⋊C4C2414yes—
1270C2×C22⋊C4C2412yes—
1271C2×C22⋊C4C2412yes—
1272C2×C22⋊C4C2412yes—
1273C2×C22⋊C4C2412yes—
1274C2×C22⋊C4C2412yes—
1275C2×C22⋊C4C2414yes—
1276C2×C22⋊C4C2414yes—
1277C2×C22⋊C4C2414yes—
1278C2×C22⋊C4C2412yes—
1279C2×C22⋊C4C2412yes—
1280C2×C22⋊C4C2412yes—
1281C2×C22⋊C4C2412yes—
1282C2×C22⋊C4C2414yes—
1283C2×C22⋊C4C2414yes—
1284C2×C22⋊C4C2414yes—
1285C2×C22⋊C4C2412yes—
1286C2×C42—24no—
1287C2×C42—24no—
1288C2×C42—84no—
1289C2×C42C2×D418yescomplemented
1290C2×C42C2411yescharacteristic
1291C2×C42C2414yes—
1292C2×C42C2411yescharacteristic
1293C2×C42C2412yes—
1294C2×C42C2412yes—
1295C2×C42C2412yes—
1296C2×C42C2414yes—
1297C2×C42C2412yes—
1298C2×C42C2411yescharacteristic
1299C2×C42C2411yescharacteristic
1300C2×C42C2412yes—
1301C2×C42C2412yes—
1302C2×C42C2412yes—
1303C2×C42C2412yes—
1304C2×C42C2411yescharacteristic
1305C2×C42C2411yescharacteristic
1306C2×C42C2412yes—
1307C2×C42C2412yes—
1308C2×C42C2412yes—
1309C2×C42C2414yes—
1310C2×C42C2414yes—
1311C2×C42C2412yes—
1312C2×C42C2412yes—
1313C2×C42C2411yescharacteristic
1314C2×C42C2411yescharacteristic
1315C2×C42C2411yescharacteristic
1316C2×C42C2411yescharacteristic
1317#95C2412yes—
1318#95C2412yes—
1319#95C2412yes—
1320#95C2412yes—
1321#95C2412yes—
1322#95C2412yes—
1323#95C2412yes—
1324#95C2412yes—
1325#95C2412yes—
1326#95C2412yes—
1327#95C2412yes—
1328#95C2414yes—
1329#95C2414yes—
1330#95C2414yes—
1331#95C2414yes—
1332#95C2412yes—
1333#95C2412yes—
1334#95C2412yes—
1335#95C2412yes—
1336#95C2412yes—
1337#95C2414yes—
1338#95C2412yes—
1339#95C2412yes—
1340#95C2412yes—
1341#95C2412yes—
1342#95C2412yes—
1343#95C2412yes—
1344#95C2412yes—
1345#95C2412yes—
1346#95C2412yes—
1347#95C2412yes—
1348#95C2414yes—
1349#95C2412yes—
1350#95C2412yes—
1351#95C2414yes—
1352#95C2414yes—
1353C24—24no—
1354C24—28no—
1355C24—28no—
1356C24—24no—
1357C24—28no—
1358C24—28no—
1359C24—42no—
1360C24—42no—
1361C24—42no—
1362C24—44no—
1363C24—44no—
1364C24—42no—
1365C24—42no—
1366C24—44no—
1367C24—44no—
1368C24—44no—
1369C24—44no—
1370C24—44no—
1371C24—44no—
1372C24—44no—
1373C24—44no—
1374C24C2512yes—
1375C24C2512yes—
1376C24C2514yes—
1377C24C2511yescharacteristic
1378C24C2511yescharacteristic
1379C24C2514yes—
1380C24C2511yescharacteristic
1381C24C2512yes—
1382#41—416no—
1383#41—816no—
1384#41—816no—
1385#41—816no—
1386#41—816no—
1387#41—816no—
1388C2×Q8—22no—
1389C2×Q8—22no—
1390C2×Q8—24no—
1391C2×Q8—22no—
1392C2×Q8—24no—
1393C2×Q8—24no—
1394C2×Q8—22no—
1395C2×Q8—22no—
1396C2×Q8—41no—
1397C2×Q8—42no—
1398C2×Q8—42no—
1399C2×Q8C22×D418yes—
1400C2×D4—22no—
1401C2×D4—28no—
1402C2×D4—28no—
1403C2×D4—22no—
1404C2×D4—24no—
1405C2×D4—24no—
1406C2×D4—22no—
1407C2×D4—28no—
1408C2×D4—28no—
1409C2×D4—24no—
1410C2×D4—22no—
1411C2×D4—28no—
1412C2×D4—28no—
1413C2×D4—28no—
1414C2×D4—28no—
1415C2×D4—28no—
1416C2×D4—28no—
1417C2×D4—28no—
1418C2×D4—28no—
1419C2×D4—24no—
1420C2×D4—24no—
1421C2×D4—22no—
1422C2×D4—22no—
1423C2×D4—24no—
1424C2×D4—24no—
1425C2×D4—22no—
1426C2×D4—22no—
1427C2×D4—24no—
1428C2×D4—24no—
1429C2×D4—28no—
1430C2×D4—28no—
1431C2×D4—24no—
1432C2×D4—22no—
1433C2×D4—28no—
1434C2×D4—22no—
1435C2×D4—24no—
1436C2×D4—24no—
1437C2×D4—28no—
1438C2×D4—24no—
1439C2×D4—24no—
1440C2×D4—28no—
1441C2×D4—24no—
1442C2×D4—24no—
1443C2×D4—24no—
1444C2×D4—22no—
1445C2×D4—22no—
1446C2×D4—28no—
1447C2×D4—24no—
1448C2×D4—24no—
1449C2×D4—22no—
1450C2×D4—24no—
1451C2×D4—22no—
1452C2×D4—416no—
1453C2×D4—432no—
1454C2×D4—42no—
1455C2×D4—44no—
1456C2×D4—42no—
1457C2×D4—44no—
1458C2×D4—44no—
1459C2×D4—42no—
1460C2×D4—42no—
1461C2×D4—42no—
1462C2×D4—42no—
1463C2×D4—44no—
1464C2×D4—44no—
1465C2×D4—42no—
1466C2×D4—42no—
1467C2×D4—42no—
1468C2×D4—42no—
1469C2×D4—41no—
1470C2×D4—41no—
1471C2×D4—41no—
1472C2×D4—42no—
1473C2×D4—42no—
1474C2×D4—44no—
1475C2×D4—44no—
1476C2×D4—42no—
1477C2×D4—42no—
1478C2×D4—44no—
1479C2×D4—44no—
1480C2×D4—44no—
1481C2×D4—44no—
1482C2×D4—44no—
1483C2×D4—44no—
1484C2×D4—42no—
1485C2×D4—44no—
1486C2×D4—44no—
1487C2×D4—44no—
1488C2×D4—44no—
1489C2×D4—44no—
1490C2×D4—44no—
1491C2×D4—44no—
1492C2×D4—44no—
1493C2×D4—44no—
1494C2×D4—42no—
1495C2×D4—44no—
1496C2×D4—44no—
1497C2×D4—44no—
1498C2×D4—44no—
1499C2×D4—44no—
1500C2×D4—44no—
1501C2×D4—44no—
1502C2×D4—42no—
1503C2×D4—42no—
1504C2×D4—44no—
1505C2×D4—44no—
1506C2×D4—44no—
1507C2×D4—44no—
1508C2×D4—44no—
1509C2×D4—44no—
1510C2×D4—432no—
1511C2×D4—816no—
1512C2×D4—816no—
1513C2×D4—832no—
1514C2×D4—816no—
1515C2×D4—832no—
1516C2×D4C22×D418yes—
1517C2×D4C22×D418yes—
1518C2×D4C22×D4116yes—
1519C2×D4C22×D418yes—
1520C2×D4C2×#4114yes—
1521C2×D4C2×#4118yes—
1522C22×C4—22no—
1523C22×C4—22no—
1524C22×C4—22no—
1525C22×C4—22no—
1526C22×C4—22no—
1527C22×C4—22no—
1528C22×C4—24no—
1529C22×C4—28no—
1530C22×C4—28no—
1531C22×C4—22no—
1532C22×C4—22no—
1533C22×C4—22no—
1534C22×C4—22no—
1535C22×C4—22no—
1536C22×C4—24no—
1537C22×C4—24no—
1538C22×C4—24no—
1539C22×C4—28no—
1540C22×C4—24no—
1541C22×C4—22no—
1542C22×C4—28no—
1543C22×C4—22no—
1544C22×C4—22no—
1545C22×C4—22no—
1546C22×C4—22no—
1547C22×C4—24no—
1548C22×C4—24no—
1549C22×C4—24no—
1550C22×C4—24no—
1551C22×C4—22no—
1552C22×C4—24no—
1553C22×C4—24no—
1554C22×C4—28no—
1555C22×C4—28no—
1556C22×C4—28no—
1557C22×C4—24no—
1558C22×C4—28no—
1559C22×C4—44no—
1560C22×C4—44no—
1561C22×C4—44no—
1562C22×C4—41no—
1563C22×C4—41no—
1564C22×C4—41no—
1565C22×C4—41no—
1566C22×C4—41no—
1567C22×C4—41no—
1568C22×C4—44no—
1569C22×C4—44no—
1570C22×C4—44no—
1571C22×C4—44no—
1572C22×C4—44no—
1573C22×C4—42no—
1574C22×C4—42no—
1575C22×C4—42no—
1576C22×C4—42no—
1577C22×C4—44no—
1578C22×C4—44no—
1579C22×C4—44no—
1580C22×C4—44no—
1581C22×C4—44no—
1582C22×C4—44no—
1583C22×C4—44no—
1584C22×C4—42no—
1585C22×C4—42no—
1586C22×C4—816no—
1587C22×C4C22×D414yes—
1588C22×C4C22×D414yes—
1589C22×C4C22×D414yes—
1590C22×C4C22×D4116yes—
1591C22×C4C2×#4114yes—
1592C22×C4C2512yes—
1593C22×C4C2512yes—
1594C22×C4C2512yes—
1595C22×C4C2512yes—
1596C22×C4C2512yes—
1597C22×C4C2511yescharacteristic
1598C22×C4C2512yes—
1599C22×C4C2511yescharacteristic
1600C22×C4C2511yescharacteristic
1601C22×C4C2512yes—
1602C22×C4C2511yescharacteristic
1603C22×C4C2512yes—
1604C22×C4C2511yescharacteristic
1605C22×C4C2512yes—
1606C22×C4C2514yes—
1607C22×C4C2512yes—
1608C22×C4C2511yescharacteristic
1609C22×C4C2511yescharacteristic
1610C22×C4C2511yescharacteristic
1611C22×C4C2514yes—
1612C22×C4C2511yescharacteristic
1613C22×C4C2511yescharacteristic
1614C22×C4C2512yes—
1615C22×C4C2512yes—
1616C22×C4C2512yes—
1617C22×C4C2511yescharacteristic
1618C22×C4C2511yescharacteristic
1619C4⋊C4—22no—
1620C4⋊C4—22no—
1621C4⋊C4—22no—
1622C4⋊C4—24no—
1623C4⋊C4—28no—
1624C4⋊C4—22no—
1625C4⋊C4—22no—
1626C4⋊C4—22no—
1627C4⋊C4—24no—
1628C4⋊C4—24no—
1629C4⋊C4—24no—
1630C4⋊C4—22no—
1631C4⋊C4—22no—
1632C4⋊C4—22no—
1633C4⋊C4—22no—
1634C4⋊C4—24no—
1635C4⋊C4—24no—
1636C4⋊C4—28no—
1637C4⋊C4—24no—
1638C4⋊C4—28no—
1639C4⋊C4—28no—
1640C4⋊C4—22no—
1641C4⋊C4—24no—
1642C4⋊C4—24no—
1643C4⋊C4—28no—
1644C4⋊C4—22no—
1645C4⋊C4—22no—
1646C4⋊C4—28no—
1647C4⋊C4—24no—
1648C4⋊C4—22no—
1649C4⋊C4—22no—
1650C4⋊C4—42no—
1651C4⋊C4—44no—
1652C4⋊C4—44no—
1653C4⋊C4—44no—
1654C4⋊C4—42no—
1655C4⋊C4—42no—
1656C4⋊C4—44no—
1657C4⋊C4—44no—
1658C4⋊C4—42no—
1659C4⋊C4—42no—
1660C4⋊C4—42no—
1661C4⋊C4—42no—
1662C4⋊C4—44no—
1663C4⋊C4C22×D418yes—
1664C4⋊C4C22×D418yes—
1665C4⋊C4C2×#4114yes—
1666C4⋊C4H(5,𝔽2)14yes—
1667C4⋊C4H(5,𝔽2)14yes—
1668C22⋊C4—28no—
1669C22⋊C4—28no—
1670C22⋊C4—22no—
1671C22⋊C4—22no—
1672C22⋊C4—24no—
1673C22⋊C4—28no—
1674C22⋊C4—28no—
1675C22⋊C4—24no—
1676C22⋊C4—24no—
1677C22⋊C4—22no—
1678C22⋊C4—22no—
1679C22⋊C4—24no—
1680C22⋊C4—28no—
1681C22⋊C4—24no—
1682C22⋊C4—28no—
1683C22⋊C4—24no—
1684C22⋊C4—28no—
1685C22⋊C4—24no—
1686C22⋊C4—24no—
1687C22⋊C4—28no—
1688C22⋊C4—28no—
1689C22⋊C4—24no—
1690C22⋊C4—22no—
1691C22⋊C4—22no—
1692C22⋊C4—28no—
1693C22⋊C4—24no—
1694C22⋊C4—24no—
1695C22⋊C4—28no—
1696C22⋊C4—28no—
1697C22⋊C4—24no—
1698C22⋊C4—28no—
1699C22⋊C4—24no—
1700C22⋊C4—28no—
1701C22⋊C4—24no—
1702C22⋊C4—24no—
1703C22⋊C4—24no—
1704C22⋊C4—24no—
1705C22⋊C4—28no—
1706C22⋊C4—28no—
1707C22⋊C4—24no—
1708C22⋊C4—24no—
1709C22⋊C4—28no—
1710C22⋊C4—28no—
1711C22⋊C4—28no—
1712C22⋊C4—28no—
1713C22⋊C4—24no—
1714C22⋊C4—24no—
1715C22⋊C4—42no—
1716C22⋊C4—42no—
1717C22⋊C4—44no—
1718C22⋊C4—44no—
1719C22⋊C4—42no—
1720C22⋊C4—44no—
1721C22⋊C4—44no—
1722C22⋊C4—44no—
1723C22⋊C4—42no—
1724C22⋊C4—42no—
1725C22⋊C4—42no—
1726C22⋊C4—42no—
1727C22⋊C4—44no—
1728C22⋊C4—44no—
1729C22⋊C4—42no—
1730C22⋊C4—42no—
1731C22⋊C4—44no—
1732C22⋊C4—44no—
1733C22⋊C4—42no—
1734C22⋊C4—42no—
1735C22⋊C4—42no—
1736C22⋊C4—44no—
1737C22⋊C4—44no—
1738C22⋊C4—44no—
1739C22⋊C4—42no—
1740C22⋊C4—42no—
1741C22⋊C4—42no—
1742C22⋊C4—44no—
1743C22⋊C4—44no—
1744C22⋊C4—42no—
1745C22⋊C4—42no—
1746C22⋊C4—42no—
1747C22⋊C4—42no—
1748C22⋊C4C22×D4116yes—
1749C22⋊C4C22×D4116yes—
1750C22⋊C4C2×#4118yes—
1751C42—22no—
1752C42—22no—
1753C42—22no—
1754C42—22no—
1755C42—22no—
1756C42—22no—
1757C42—28no—
1758C42—24no—
1759C42—28no—
1760C42—24no—
1761C42—24no—
1762C42—24no—
1763C42—24no—
1764C42—24no—
1765C42—24no—
1766C42—24no—
1767C42—42no—
1768C42—42no—
1769C42—44no—
1770C42—44no—
1771C42—42no—
1772C42—42no—
1773C42—42no—
1774C42C22×D414yes—
1775C42C22×D414yes—
1776C42C22×D414yes—
1777C42C22×D414yes—
1778C23—21no—
1779C23—22no—
1780C23—21no—
1781C23—24no—
1782C23—21no—
1783C23—22no—
1784C23—21no—
1785C23—21no—
1786C23—24no—
1787C23—24no—
1788C23—22no—
1789C23—21no—
1790C23—21no—
1791C23—24no—
1792C23—21no—
1793C23—22no—
1794C23—24no—
1795C23—21no—
1796C23—22no—
1797C23—22no—
1798C23—24no—
1799C23—21no—
1800C23—21no—
1801C23—21no—
1802C23—22no—
1803C23—22no—
1804C23—24no—
1805C23—21no—
1806C23—22no—
1807C23—22no—
1808C23—24no—
1809C23—21no—
1810C23—21no—
1811C23—22no—
1812C23—22no—
1813C23—24no—
1814C23—24no—
1815C23—22no—
1816C23—22no—
1817C23—21no—
1818C23—21no—
1819C23—22no—
1820C23—24no—
1821C23—22no—
1822C23—21no—
1823C23—22no—
1824C23—24no—
1825C23—24no—
1826C23—22no—
1827C23—22no—
1828C23—21no—
1829C23—22no—
1830C23—48no—
1831C23—416no—
1832C23—416no—
1833C23—48no—
1834C23—84no—
1835C23—84no—
1836C23—84no—
1837C23—88no—
1838C23—88no—
1839C23—88no—
1840C23—88no—
1841C23—88no—
1842C23—88no—
1843C23—88no—
1844C23—88no—
1845C23—84no—
1846C23—84no—
1847C23—164no—
1848C23—164no—
1849C23—164no—
1850C23—164no—
1851C23C23×D418yes—
1852C23C23×D412yes—
1853C23C22×#4112yes—
1854C23C22×#4114yes—
1855C23C2611yescharacteristic
1856Q8—48no—
1857Q8—44no—
1858Q8—44no—
1859Q8—48no—
1860D4—28no—
1861D4—216no—
1862D4—216no—
1863D4—48no—
1864D4—48no—
1865D4—416no—
1866D4—48no—
1867D4—416no—
1868D4—416no—
1869D4—48no—
1870D4—44no—
1871D4—44no—
1872D4—48no—
1873D4—416no—
1874D4—44no—
1875D4—48no—
1876D4—44no—
1877D4—48no—
1878D4—44no—
1879D4—48no—
1880D4—84no—
1881D4—84no—
1882D4—88no—
1883D4—88no—
1884D4—88no—
1885D4—88no—
1886D4—84no—
1887D4—88no—
1888D4—84no—
1889D4—88no—
1890D4—88no—
1891D4—88no—
1892D4—88no—
1893D4—88no—
1894D4—88no—
1895D4—88no—
1896D4—88no—
1897D4—164no—
1898C2×C4—21no—
1899C2×C4—21no—
1900C2×C4—22no—
1901C2×C4—21no—
1902C2×C4—21no—
1903C2×C4—22no—
1904C2×C4—22no—
1905C2×C4—21no—
1906C2×C4—21no—
1907C2×C4—21no—
1908C2×C4—21no—
1909C2×C4—22no—
1910C2×C4—22no—
1911C2×C4—22no—
1912C2×C4—24no—
1913C2×C4—24no—
1914C2×C4—21no—
1915C2×C4—21no—
1916C2×C4—28no—
1917C2×C4—28no—
1918C2×C4—28no—
1919C2×C4—21no—
1920C2×C4—22no—
1921C2×C4—21no—
1922C2×C4—22no—
1923C2×C4—21no—
1924C2×C4—21no—
1925C2×C4—21no—
1926C2×C4—22no—
1927C2×C4—24no—
1928C2×C4—22no—
1929C2×C4—22no—
1930C2×C4—22no—
1931C2×C4—22no—
1932C2×C4—21no—
1933C2×C4—22no—
1934C2×C4—22no—
1935C2×C4—22no—
1936C2×C4—22no—
1937C2×C4—22no—
1938C2×C4—22no—
1939C2×C4—21no—
1940C2×C4—21no—
1941C2×C4—22no—
1942C2×C4—22no—
1943C2×C4—22no—
1944C2×C4—24no—
1945C2×C4—24no—
1946C2×C4—22no—
1947C2×C4—22no—
1948C2×C4—22no—
1949C2×C4—21no—
1950C2×C4—21no—
1951C2×C4—22no—
1952C2×C4—22no—
1953C2×C4—22no—
1954C2×C4—22no—
1955C2×C4—21no—
1956C2×C4—22no—
1957C2×C4—22no—
1958C2×C4—22no—
1959C2×C4—22no—
1960C2×C4—22no—
1961C2×C4—21no—
1962C2×C4—22no—
1963C2×C4—21no—
1964C2×C4—21no—
1965C2×C4—22no—
1966C2×C4—21no—
1967C2×C4—416no—
1968C2×C4—44no—
1969C2×C4—416no—
1970C2×C4—44no—
1971C2×C4—44no—
1972C2×C4—48no—
1973C2×C4—44no—
1974C2×C4—48no—
1975C2×C4—48no—
1976C2×C4—44no—
1977C2×C4—44no—
1978C2×C4—88no—
1979C2×C4—84no—
1980C2×C4—84no—
1981C2×C4—88no—
1982C2×C4—88no—
1983C2×C4—88no—
1984C2×C4—84no—
1985C2×C4—88no—
1986C2×C4—88no—
1987C2×C4C23×D412yes—
1988C2×C4C23×D418yes—
1989C2×C4C23×D412yes—
1990C2×C4C23×D412yes—
1991C2×C4C23×D412yes—
1992C2×C4C23×D412yes—
1993C2×C4C23×D412yes—
1994C2×C4C22×#4114yes—
1995C2×C4C22×#4112yes—
1996C2×C4C22×#4112yes—
1997C2×C4C2×H(5,𝔽2)14yes—
1998C2×C4C2×H(5,𝔽2)14yes—
1999C2×C4C2×H(5,𝔽2)12yes—
2000C2×C4C2×H(5,𝔽2)12yes—
2001C2×C4#58512yes—
2002C22—22no—
2003C22—24no—
2004C22—24no—
2005C22—22no—
2006C22—22no—
2007C22—28no—
2008C22—22no—
2009C22—28no—
2010C22—22no—
2011C22—22no—
2012C22—24no—
2013C22—28no—
2014C22—44no—
2015C22—41no—
2016C22—41no—
2017C22—44no—
2018C22—42no—
2019C22—41no—
2020C22—41no—
2021C22—42no—
2022C22—44no—
2023C22—41no—
2024C22—42no—
2025C22—41no—
2026C22—41no—
2027C22—42no—
2028C22—44no—
2029C22—41no—
2030C22—42no—
2031C22—44no—
2032C22—41no—
2033C22—42no—
2034C22—41no—
2035C22—42no—
2036C22—44no—
2037C22—42no—
2038C22—42no—
2039C22—41no—
2040C22—44no—
2041C22—42no—
2042C22—41no—
2043C22—44no—
2044C22—42no—
2045C22—42no—
2046C22—41no—
2047C22—42no—
2048C22—44no—
2049C22—42no—
2050C22—42no—
2051C22—44no—
2052C22—42no—
2053C22—41no—
2054C22—41no—
2055C22—42no—
2056C22—42no—
2057C22—44no—
2058C22—816no—
2059C22—1616no—
2060C22—1616no—
2061C22C24×D411yescharacteristic
2062C22C23×#4111yescharacteristic
2063C22C22×H(5,𝔽2)11yescharacteristic
2064C22C22×H(5,𝔽2)11yescharacteristic
2065C22C2×#58511yescharacteristic
2066C22H(7,𝔽2)11yescharacteristic
2067C22H(7,𝔽2)11yescharacteristic
2068C4—24no—
2069C4—24no—
2070C4—22no—
2071C4—22no—
2072C4—22no—
2073C4—28no—
2074C4—24no—
2075C4—22no—
2076C4—22no—
2077C4—42no—
2078C4—42no—
2079C4—41no—
2080C4—42no—
2081C4—42no—
2082C4—41no—
2083C4—42no—
2084C4—44no—
2085C4—41no—
2086C4—41no—
2087C4—42no—
2088C4—42no—
2089C4—42no—
2090C4—42no—
2091C4—42no—
2092C4—41no—
2093C4D4×#4114yes—
2094C4#349814yes—
2095C2—42no—
2096C2—44no—
2097C2—48no—
2098C2—42no—
2099C2—81no—
2100C2—82no—
2101C2—84no—
2102C2—82no—
2103C2C2×D4×#4111yescharacteristic
2104C2C2×#349811yescharacteristic
2105C2#6284211yescharacteristic
2106C2#6292011yescharacteristic
2107C2#6292311yescharacteristic
2108C2#6298311yescharacteristic
2109C2#6298611yescharacteristic
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×#3508C2semidirect
2. C2×#3519C2semidirect
3. #59126C2semidirect
4. #59124C2semidirect
5. #59066C2semidirect
6. #59057C2semidirect
7. #59056C2semidirect
8. #59052C2semidirect
9. #59050C2semidirect
10. #59035C2semidirect
11. #59004C2semidirect
12. #59003C2semidirect
13. #59000C2semidirect
14. #58999C2semidirect
15. #45004C2semidirect
16. #44899C2semidirect
17. #44872C2semidirect
18. #44870C2semidirect
19. #44272C2semidirect
20. #44228C2semidirect
21. #39957C2semidirect
22. #39953C2semidirect
23. #39948C2semidirect
24. #38424C2semidirect
25. #36471C2semidirect
26. #36260C2semidirect
27. #35538C2semidirect
28. #35538C2semidirect
29. #35191C2semidirect
30. #35171C2semidirect
31. #34936C2semidirect
32. #34911C2semidirect
33. #34310C2semidirect
34. #34155C2semidirect
35. C4×#535C2semidirect
38. C2×#559C22semidirect
39. C2×#559C22semidirect
40. C2×#555C22semidirect
41. C2×#554C22semidirect
42. C2×#553C22semidirect
43. C2×#553C22semidirect
45. C2×#550C22semidirect
46. C2×#550C22semidirect
47. C2×#547C22semidirect
48. C2×#546C22semidirect
49. C2×#546C22semidirect
50. C2×#546C22semidirect
51. C2×#546C22semidirect
52. C2×#546C22semidirect
53. C2×#546C22semidirect
54. C2×#546C22semidirect
55. C2×#546C22semidirect
58. C2×D42C22semidirect
59. C2×D42C22semidirect
60. C2×#540C22semidirect
61. C2×#540C22semidirect
62. C2×#540C22semidirect
63. C2×#538C22semidirect
65. C2×#535C22semidirect
66. C2×#533C22semidirect
68. C2×#532C22semidirect
69. C2×#532C22semidirect
70. C2×#532C22semidirect
71. C22×#127C22semidirect
72. C2×#529C22semidirect
73. C2×#525C22semidirect
74. C2×#525C22semidirect
75. C2×#525C22semidirect
76. C22×#121C22semidirect
77. C2×#518C22semidirect
78. C2×#518C22semidirect
79. C2×C4×#41C22semidirect
80. C22×C4×D4C22semidirect
81. #2861C22semidirect
82. #2858C22semidirect
83. #2856C22semidirect
84. #2854C22semidirect
85. #2733C22semidirect
86. #2732C22semidirect
87. #2730C22semidirect
88. #2730C22semidirect
89. #2718C22semidirect
90. #2710C22semidirect
91. #2706C22semidirect
92. #2703C22semidirect
93. #2685C22semidirect
94. #2682C22semidirect
95. #2679C22semidirect
96. #2678C22semidirect
97. #2678C22semidirect
98. #2678C22semidirect
99. #2673C22semidirect
100. #2673C22semidirect
101. #2671C22semidirect
102. #2671C22semidirect
103. #2670C22semidirect
104. #2669C22semidirect
105. #2669C22semidirect
106. #2669C22semidirect
107. #2668C22semidirect
108. #2668C22semidirect
109. #2661C22semidirect
110. #2661C22semidirect
111. #2661C22semidirect
112. #2604C22semidirect
113. #2603C22semidirect
114. #2603C22semidirect
115. #2602C22semidirect
116. #2602C22semidirect
117. #2602C22semidirect
118. #2602C22semidirect
119. #2592C22semidirect
120. #2584C22semidirect
121. #2562C22semidirect
122. #2555C22semidirect
123. #2553C22semidirect
124. #2552C22semidirect
125. #2548C22semidirect
126. #2547C22semidirect
127. #2546C22semidirect
128. #2542C22semidirect
129. #2542C22semidirect
130. #2542C22semidirect
132. #2541C22semidirect
133. #2541C22semidirect
134. #2541C22semidirect
135. #2541C22semidirect
136. #2541C22semidirect
137. #2540C22semidirect
138. #2540C22semidirect
139. #2540C22semidirect
140. #2540C22semidirect
141. #2540C22semidirect
142. #2539C22semidirect
143. #2539C22semidirect
144. #2539C22semidirect
145. #2539C22semidirect
146. #2539C22semidirect
147. #2537C22semidirect
148. #2521C22semidirect
149. #2501C22semidirect
150. #2501C22semidirect
151. #2490C22semidirect
152. #2490C22semidirect
153. #2464C22semidirect
154. #2464C22semidirect
155. #2464C22semidirect
156. #2456C22semidirect
157. #2456C22semidirect
158. #2455C22semidirect
159. #2455C22semidirect
160. #2454C22semidirect
161. #2454C22semidirect
162. #2448C22semidirect
163. #2445C22semidirect
164. #2445C22semidirect
165. #2445C22semidirect
166. #2443C22semidirect
167. #2443C22semidirect
168. #2441C22semidirect
169. #2441C22semidirect
170. #2435C22semidirect
172. #2433C22semidirect
173. #2433C22semidirect
174. #2433C22semidirect
175. #2433C22semidirect
176. #2433C22semidirect
177. #2432C22semidirect
178. #2432C22semidirect
179. #2431C22semidirect
180. #2431C22semidirect
181. #2431C22semidirect
182. #2429C22semidirect
183. #2428C22semidirect
184. #2428C22semidirect
185. #2428C22semidirect
186. #2428C22semidirect
187. #2428C22semidirect
188. #2428C22semidirect
189. #2428C22semidirect
190. #2428C22semidirect
191. #2427C22semidirect
192. #2427C22semidirect
193. #2427C22semidirect
194. #2426C22semidirect
195. #2424C22semidirect
196. #2424C22semidirect
197. #2423C22semidirect
198. #2422C22semidirect
199. #2422C22semidirect
200. #2422C22semidirect
201. #2422C22semidirect
202. #2418C22semidirect
203. #2418C22semidirect
204. #2418C22semidirect
205. #2418C22semidirect
206. #2417C22semidirect
207. #2416C22semidirect
208. #2415C22semidirect
209. #2415C22semidirect
210. #2415C22semidirect
212. #2414C22semidirect
213. #2414C22semidirect
214. #2414C22semidirect
215. #2414C22semidirect
216. #2414C22semidirect
217. #2414C22semidirect
218. #2414C22semidirect
219. #2414C22semidirect
220. #2411C22semidirect
221. #2411C22semidirect
222. #2410C22semidirect
223. #2410C22semidirect
224. #2408C22semidirect
225. #2408C22semidirect
226. #2408C22semidirect
227. #2408C22semidirect
228. #2408C22semidirect
229. #2407C22semidirect
230. #2407C22semidirect
231. #2407C22semidirect
232. #2403C22semidirect
233. #2403C22semidirect
234. #2397C22semidirect
235. #2395C22semidirect
236. #2388C22semidirect
237. #2372C22semidirect
238. #2369C22semidirect
239. #2369C22semidirect
240. #2366C22semidirect
241. #2366C22semidirect
242. #2366C22semidirect
244. #2363C22semidirect
245. #2363C22semidirect
246. #2363C22semidirect
247. #2363C22semidirect
248. #2363C22semidirect
249. #2363C22semidirect
250. #2362C22semidirect
251. #2361C22semidirect
252. #2361C22semidirect
253. #2360C22semidirect
254. #2358C22semidirect
255. #2358C22semidirect
256. #2354C22semidirect
257. D4×C4⋊C4C22semidirect
258. D4×C22⋊C4C22semidirect
259. D4×C22⋊C4C22semidirect
260. D4×C22⋊C4C22semidirect
261. #2328C22semidirect
262. #2326C22semidirect
264. #2324C22semidirect
265. #2324C22semidirect
266. #2324C22semidirect
267. #2324C22semidirect
268. #2324C22semidirect
269. #2321C22semidirect
270. #2321C22semidirect
271. #2321C22semidirect
272. #2321C22semidirect
273. #2317C22semidirect
274. #2311C22semidirect
275. #2309C22semidirect
276. C4×#127C22semidirect
277. C4×#127C22semidirect
278. C4×#127C22semidirect
279. C4×#124C22semidirect
280. C4×C22⋊Q8C22semidirect
281. C4×C22⋊Q8C22semidirect
283. C4×#121C22semidirect
284. C4×#121C22semidirect
285. C4×#121C22semidirect
286. C4×#121C22semidirect
287. C4×#121C22semidirect
288. C4×#121C22semidirect
289. C4×#120C22semidirect
290. C4×#120C22semidirect
291. #2297C22semidirect
292. #2293C22semidirect
293. #2293C22semidirect
294. #2293C22semidirect
295. #2293C22semidirect
296. C2×#390C22semidirect
297. C42×D4C22semidirect
298. C42×D4C22semidirect
299. C4×#117C22semidirect
300. C4×#117C22semidirect
348. #532D4semidirect
875. C2×#41C2×D4semidirect
970. C4⋊Q8C2×D4semidirect
997. #124C2×D4semidirect
1063. #121C2×D4semidirect
1064. #121C2×D4semidirect
1065. #121#41semidirect
1130. C4×D4C2×D4semidirect
1131. C4×D4C2×D4semidirect
1289. C2×C42C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35082
C2×#35192
#591262
#591242
#590662
#590572
#590562
#590522
#590502
#590352
#590042
#590032
#590002
#589992
#450042
#448992
#448722
#448702
#442722
#442282
#399572
#399532
#399482
#384242
#364712
#362602
#355382
#351912
#351712
#349362
#349112
#343102
#341552
C4×#5352