Finite Group Databasebeta

← #7693262

Subgroups — #7693262

Order 512.

8006 conjugacy classes of subgroups.

The subgroup lattice has 2033 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3514C211yesmaximal, characteristic, complemented
2C2×#3520C211yesmaximal, characteristic, complemented
3#59819C214yesmaximal, complemented
4#59807C212yesmaximal, complemented
5#59652C212yesmaximal, complemented
6#59410C211yesmaximal, characteristic, complemented
7#59055C211yesmaximal, characteristic, complemented
8#59051C211yesmaximal, characteristic, complemented
9#59047C212yesmaximal, complemented
10#59003C212yesmaximal, complemented
11#45112C212yesmaximal, complemented
12#44897C212yesmaximal, complemented
13#43913C214yesmaximal, complemented
14#43029C214yesmaximal, complemented
15#39381C212yesmaximal, complemented
16#39380C214yesmaximal, complemented
17#39137C211yesmaximal, characteristic, complemented
18#39136C211yesmaximal, characteristic, complemented
19#39135C212yesmaximal, complemented
20#39133C212yesmaximal, complemented
21#36597C211yesmaximal, characteristic, complemented
22#36576C212yesmaximal, complemented
23#36260C212yesmaximal, complemented
24#36260C211yesmaximal, characteristic, complemented
25#36259C211yesmaximal, characteristic, complemented
26#36150C211yesmaximal, characteristic, complemented
27#36144C212yesmaximal, complemented
28D4×#121C211yesmaximal, characteristic, complemented
29#35821C212yesmaximal, complemented
30#35761C212yesmaximal, complemented
31#34934C211yesmaximal, characteristic, complemented
32C2×#2426C212yesmaximal, complemented
33#34309C212yesmaximal, complemented
34C4×D4×Q8C211yesmaximal, characteristic, complemented
35C4×#546C211yesmaximal, characteristic, complemented
36#3520—216no—
37#3514—216no—
38C2×#559C2211yescharacteristic, complemented
39C2×#556C2211yescharacteristic, complemented
40C2×#556C2211yescharacteristic, complemented
41C2×#555C2212yescomplemented
42C2×#554C2212yescomplemented
43C2×#552C2212yescomplemented
44C2×#551C2214yescomplemented
45C2×#551C2214yescomplemented
46C2×#550C2212yescomplemented
47C2×D4×Q8C2211yescharacteristic
48C2×#548C2212yescomplemented
49C2×#548C2212yescomplemented
50C2×#547C2211yescharacteristic
51C2×#547C2212yes—
52C2×#547C2211yescharacteristic, complemented
53C2×#546C2212yes—
54C2×#546C2212yes—
55C2×#546C2212yes—
56C2×#546C2211yescharacteristic
57C2×#546C2212yes—
58C2×#546C2212yescomplemented
59C2×D42C2211yescharacteristic
60C2×D42C2212yes—
61C2×#542C2212yescomplemented
62C2×#542C2212yescomplemented
63C2×#539C2214yescomplemented
64C2×#538C2214yescomplemented
65C2×#533C2211yescharacteristic, complemented
66C2×#532C2211yescharacteristic, complemented
67C2×#529C2212yescomplemented
68C2×#529C2211yescharacteristic, complemented
69C2×#529C2211yescharacteristic, complemented
70C22×#124C2212yescomplemented
71C2×#525C2212yescomplemented
72C22×C22⋊Q8C2212yescomplemented
73C22×#121C2212yes—
74C2×#520C2212yes—
75C2×#518C2212yes—
76C2×C4×#41C2211yescharacteristic
77C22×C4×Q8C2212yescomplemented
78C22×C4×D4C2211yescharacteristic
79#2858C2211yescharacteristic, complemented
80#2858C2212yescomplemented
81#2857C2211yescharacteristic, complemented
82#2856C2211yescharacteristic
83#2856C2212yescomplemented
84#2856C2214yescomplemented
85#2854C2212yescomplemented
86#2847C2212yes—
87#2733C2214yescomplemented
88#2733C2214yescomplemented
89#2732C2214yescomplemented
90#2732C2214yescomplemented
91#2730C2214yescomplemented
92#2730C2214yescomplemented
93#2730C2214yescomplemented
94#2730C2214yescomplemented
95#2727C2214yescomplemented
96#2727C2214yescomplemented
97#2721C2214yescomplemented
98#2721C2214yescomplemented
99#2714C2214yescomplemented
100#2705C2214yescomplemented
101#2705C2214yescomplemented
102#2705C2214yescomplemented
103#2694C2214yescomplemented
104#2682C2214yescomplemented
105#2682C2214yescomplemented
106#2673C2214yescomplemented
107#2673C2214yescomplemented
108#2620C2212yescomplemented
109#2620C2212yescomplemented
110#2618C2214yescomplemented
111#2617C2214yescomplemented
112#2554C2214yescomplemented
113#2554C2214yescomplemented
114#2554C2214yescomplemented
115#2554C2212yescomplemented
116#2554C2212yescomplemented
117#2554C2214yescomplemented
118#2554C2214yescomplemented
119#2552C2211yescharacteristic, complemented
120#2548C2214yescomplemented
121#2548C2211yescharacteristic, complemented
122#2548C2212yescomplemented
123#2546C2211yescharacteristic, complemented
124#2545C2212yescomplemented
125#2544C2212yescomplemented
126#2542C2212yescomplemented
127#2542C2211yescharacteristic, complemented
128#2541C2211yescharacteristic
129#2541C2211yescharacteristic
130#2541C2212yescomplemented
131#2541C2211yescharacteristic, complemented
132#2540C2212yescomplemented
133#2540C2212yescomplemented
134#2540C2212yescomplemented
135#2540C2212yescomplemented
136#2540C2212yescomplemented
137#2540C2212yescomplemented
138#2539C2214yescomplemented
139#2539C2214yescomplemented
140#2539C2214yescomplemented
141#2539C2214yescomplemented
142#2539C2214yescomplemented
143#2539C2214yescomplemented
144#2538C2212yescomplemented
145#2538C2211yescharacteristic, complemented
146#2538C2214yescomplemented
147#2538C2211yescharacteristic, complemented
148#2538C2212yescomplemented
149#2537C2211yescharacteristic
150#2537C2212yescomplemented
151#2534C2214yescomplemented
152#2534C2214yescomplemented
153#2512C2212yescomplemented
154#2501C2214yescomplemented
155#2501C2212yescomplemented
156#2490C2214yescomplemented
157#2490C2211yescharacteristic, complemented
158#2490C2212yescomplemented
159#2490C2211yescharacteristic, complemented
160#2486C2212yescomplemented
161#2479C2214yescomplemented
162#2479C2214yescomplemented
163#2471C2214yescomplemented
164#2467C2214yescomplemented
165#2456C2214yescomplemented
166#2456C2214yescomplemented
167#2454C2212yescomplemented
168#2454C2212yescomplemented
169#2448C2212yescomplemented
170#2448C2212yescomplemented
171#2445C2212yescomplemented
172#2441C2214yescomplemented
173#2441C2212yescomplemented
174#2433C2214yescomplemented
175#2433C2212yescomplemented
176#2431C2212yescomplemented
177#2431C2212yescomplemented
178#2429C2212yescomplemented
179#2429C2212yescomplemented
180#2428C2212yes—
181#2428C2214yescomplemented
182#2428C2212yescomplemented
183#2428C2212yescomplemented
184#2427C2212yescomplemented
185#2426C2211yescharacteristic
186#2426C2212yes—
187#2426C2214yescomplemented
188#2426C2214yescomplemented
189#2426C2212yescomplemented
190#2426C2214yescomplemented
191#2426C2212yescomplemented
192#2426C2212yescomplemented
193#2426C2214yescomplemented
194#2426C2211yescharacteristic, complemented
195#2426C2212yescomplemented
196#2426C2214yescomplemented
197#2426C2212yescomplemented
198#2426C2212yescomplemented
199#2426C2212yescomplemented
200#2426C2214yescomplemented
201#2426C2212yescomplemented
202#2425C2214yescomplemented
203#2425C2214yescomplemented
204#2425C2214yescomplemented
205#2424C2214yes—
206#2424C2214yescomplemented
207#2424C2214yescomplemented
208#2423C2212yescomplemented
209#2423C2212yescomplemented
210#2417C2212yescomplemented
211#2416C2212yes—
212#2416C2212yes—
213#2416C2212yescomplemented
214#2416C2214yescomplemented
215#2416C2212yescomplemented
216#2416C2214yescomplemented
217#2415C2212yescomplemented
218#2415C2212yescomplemented
219#2414C2212yescomplemented
220#2414C2212yescomplemented
221#2414C2212yescomplemented
222#2413C2214yescomplemented
223#2413C2214yescomplemented
224#2412C2214yescomplemented
225#2411C2214yescomplemented
226#2410C2214yes—
227#2410C2214yescomplemented
228#2408C2212yes—
229#2407C2212yescomplemented
230#2407C2212yescomplemented
231#2392C2212yescomplemented
232#2392C2212yescomplemented
233C2×#396C2214yescomplemented
234C2×#394C2214yescomplemented
235#2367C2212yescomplemented
236#2367C2211yescharacteristic, complemented
237#2365C2212yescomplemented
238#2365C2211yescharacteristic, complemented
239#2364C2214yescomplemented
240#2364C2212yescomplemented
241#2363C2214yescomplemented
242#2363C2212yescomplemented
243#2363C2212yescomplemented
244#2363C2211yescharacteristic, complemented
245#2363C2212yescomplemented
246#2362C2212yescomplemented
247#2361C2212yescomplemented
248#2360C2214yescomplemented
249#2360C2211yescharacteristic, complemented
250#2360C2212yescomplemented
251#2359C2214yescomplemented
252#2359C2212yescomplemented
253#2358C2214yescomplemented
254#2358C2212yescomplemented
255#2352C2211yescharacteristic, complemented
256#2352C2212yescomplemented
257Q8×C4⋊C4C2211yescharacteristic, complemented
258Q8×C4⋊C4C2212yescomplemented
259#2349C2211yescharacteristic
260D4×C4⋊C4C2211yescharacteristic
261D4×C4⋊C4C2212yes—
262#2342C2214yescomplemented
263#2342C2212yescomplemented
264#2341C2212yescomplemented
265#2341C2212yescomplemented
266Q8×C22⋊C4C2212yescomplemented
267#2339C2212yes—
268#2339C2211yescharacteristic
269D4×C22⋊C4C2212yes—
270D4×C22⋊C4C2211yescharacteristic
271#2324C2212yescomplemented
272#2323C2212yescomplemented
273#2322C2214yescomplemented
274#2321C2214yescomplemented
275C4×C4⋊Q8C2212yescomplemented
276C4×C4⋊Q8C2211yescharacteristic, complemented
277C4×#127C2212yescomplemented
278C4×#127C2211yescharacteristic, complemented
279C4×#124C2212yescomplemented
280C4×#124C2211yescharacteristic, complemented
281C4×C22⋊Q8C2212yescomplemented
282C4×C22⋊Q8C2211yescharacteristic, complemented
283C4×C22⋊Q8C2214yescomplemented
284C4×#123C2212yescomplemented
285C4×#121C2211yescharacteristic
286C4×#121C2214yescomplemented
287C4×#121C2212yescomplemented
288C4×#121C2211yescharacteristic, complemented
289C4×#121C2211yescharacteristic, complemented
290C4×#120C2212yescomplemented
291#2293C2212yescomplemented
292C2×#390C2212yescomplemented
293C2×#390C2214yescomplemented
294C2×#389C2212yescomplemented
295C2×#388C2214yescomplemented
296C42×Q8C2211yescharacteristic, complemented
297C42×D4C2212yes—
298C42×D4C2211yescharacteristic
299C42×D4C2211yescharacteristic, complemented
300C2×C4×C22⋊C4C2212yescomplemented
301C22×#41C2311yescharacteristic
302C22×#41C2312yes—
303C22×#41C2312yes—
304C22×#41C2312yes—
305C23×Q8C2312yes—
306C23×D4C2311yescharacteristic
307C23×D4C2312yes—
308C23×D4C2312yes—
309C23×D4C2314yes—
310C24×C4C2312yes—
311#559—28no—
312#556—28no—
313#556—28no—
314#555—216no—
315#554—216no—
316#552—216no—
317#551—232no—
318#551—232no—
319#550—48no—
320D4×Q8D4116yescomplemented
321#548—216no—
322#548—216no—
323#547—28no—
324#547—28no—
325#547—48no—
326#546—216no—
327#546—216no—
328#546—216no—
329#546—216no—
330#546—28no—
331#546—48no—
332D42—28no—
333D42—48no—
334#542—216no—
335#542—216no—
336#539—232no—
337#538—232no—
338#533—28no—
339#532—28no—
340C2×C4⋊Q8C2311yescharacteristic
341C2×C4⋊Q8C2312yes—
342C2×C4⋊Q8C2311yescharacteristic
343C2×C4⋊Q8C2312yes—
344C2×#127C2311yescharacteristic
345C2×#127C2312yes—
346C2×#127C2311yescharacteristic
347C2×#127C2314yes—
348C2×#127C2312yes—
349C2×#127C2312yes—
350#529—216no—
351#529—28no—
352#529—28no—
353C2×#126C2314yes—
354C2×#126C2312yes—
355C2×#126C2312yes—
356C2×#126C2314yes—
357C2×#126C2314yes—
358C2×#126C2314yes—
359C2×#125C2311yescharacteristic
360C2×#125C2311yescharacteristic
361C2×#125C2312yes—
362C2×#125C2314yes—
363C2×#124—216no—
364C2×#124C2312yes—
365C2×#124C2311yescharacteristic
366C2×#124C2312yes—
367C2×#124C2312yes—
368C2×#124C2311yescharacteristic
369C2×#124C2312yes—
370C2×#124C2312yes—
371C2×#124C2312yes—
372C2×#124C2314yes—
373C2×#124C2314yes—
374C2×#124C2311yescharacteristic
375C2×#124C2314yes—
376C2×#124C2314yes—
377C2×#124C2312yes—
378#525—216no—
379C2×#123C2314yes—
380C2×#123C2312yes—
381C2×#123C2314yes—
382C2×#123C2314yes—
383C2×#123C2314yes—
384C2×#123C2314yes—
385C2×#123C2312yes—
386C2×#123C2312yes—
387C2×#123C2314yes—
388C2×#123C2314yes—
389C2×#123C2314yes—
390C2×#123C2314yes—
391C2×#123C2314yes—
392C2×#123C2314yes—
393C2×C22⋊Q8—216no—
394C2×C22⋊Q8C2312yes—
395C2×C22⋊Q8C2311yescharacteristic
396C2×C22⋊Q8C2312yes—
397C2×C22⋊Q8C2312yes—
398C2×C22⋊Q8C2311yescharacteristic
399C2×C22⋊Q8C2312yes—
400C2×C22⋊Q8C2314yes—
401C2×C22⋊Q8C2314yes—
402C2×C22⋊Q8C2312yes—
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2311yescharacteristic
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2314yes—
407C2×C22⋊Q8C2314yes—
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2312yes—
410C2×C22⋊Q8C2312yes—
411C2×C22⋊Q8C2312yes—
412C2×C22⋊Q8C2314yes—
413C2×#121—48no—
414C2×#121C2312yes—
415C2×#121C2312yes—
416C2×#121C2312yes—
417C2×#121C2314yes—
418C2×#121C2312yes—
419C2×#121C2314yes—
420C2×#121C2314yes—
421C2×#121C2312yes—
422C2×#121C2311yescharacteristic
423C2×#121C2311yescharacteristic
424C2×#121C2311yescharacteristic
425C2×#121C2311yescharacteristic
426C2×#121C2312yes—
427C2×#121C2312yes—
428C2×#121C2312yes—
429C2×#121C2311yescharacteristic
430C2×#121C2312yes—
431C2×#121C2314yes—
432C2×#121C2312yes—
433C2×#121C2312yes—
434C2×#121C2312yes—
435C2×#121C2312yes—
436C2×#121C2314yes—
437C2×#121C2314yes—
438C2×#121C2314yes—
439C2×#121C2314yes—
440C2×#121C2312yes—
441C2×#121C2312yes—
442C2×#121C2312yes—
443C2×#121C2314yes—
444C2×#121C2314yes—
445C2×#121C2314yes—
446C2×#121C2314yes—
447C2×#120C2314yes—
448C2×#120C2312yes—
449C2×#120C2314yes—
450C2×#120C2314yes—
451C2×#120C2314yes—
452C2×#120C2314yes—
453C2×#120C2314yes—
454C2×#120C2314yes—
455#520—216no—
456#518—216no—
457C4×#41—28no—
458C2×C4×Q8—48no—
459C2×C4×Q8C2312yes—
460C2×C4×Q8C2312yes—
461C2×C4×Q8C2312yes—
462C2×C4×Q8C2312yes—
463C2×C4×Q8C2311yescharacteristic
464C2×C4×Q8C2312yes—
465C2×C4×Q8C2311yescharacteristic
466C2×C4×Q8C2311yescharacteristic
467C2×C4×Q8C2312yes—
468C2×C4×Q8C2314yes—
469C2×C4×Q8C2311yescharacteristic
470C2×C4×Q8C2312yes—
471C2×C4×Q8C2314yes—
472C2×C4×Q8C2311yescharacteristic
473C2×C4×D4—28no—
474C2×C4×D4C2311yescharacteristic
475C2×C4×D4C2312yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2312yes—
478C2×C4×D4C2311yescharacteristic
479C2×C4×D4C2311yescharacteristic
480C2×C4×D4C2314yes—
481C2×C4×D4C2314yes—
482C2×C4×D4C2312yes—
483C2×C4×D4C2311yescharacteristic
484C2×C4×D4C2311yescharacteristic
485C2×C4×D4C2312yes—
486C2×C4×D4C2311yescharacteristic
487C2×C4×D4C2312yes—
488C2×C4×D4C2314yes—
489C2×C4×D4C2312yes—
490C2×C4×D4C2314yes—
491C2×C4×D4C2312yes—
492C2×C4×D4C2312yes—
493C2×C4×D4C2311yescharacteristic
494C2×C4×D4C2314yes—
495C2×C4×D4C2312yes—
496C2×C4×D4C2312yes—
497C2×C4×D4C2311yescharacteristic
498C2×C4×D4C2312yes—
499C2×C4×D4C2312yes—
500C2×C4×D4C2312yes—
501C2×C4×D4C2312yes—
502C2×C4×D4C2311yescharacteristic
503C2×C4×D4C2314yes—
504C2×C4×D4C2311yescharacteristic
505C2×C4×D4C2312yes—
506C2×C4×D4C2311yescharacteristic
507C2×C4×D4C2312yes—
508C2×C4×D4C2311yescharacteristic
509C2×#117C2312yes—
510C2×#117C2312yes—
511C2×#117C2312yes—
512C2×#117C2314yes—
513C2×#117C2312yes—
514C2×#117C2311yescharacteristic
515C2×#117C2312yes—
516C2×#117C2312yes—
517C2×#117C2314yes—
518C22×C4⋊C4C2314yes—
519C22×C4⋊C4C2312yes—
520C22×C4⋊C4C2311yescharacteristic
521C22×C4⋊C4C2312yes—
522C22×C4⋊C4C2312yes—
523C22×C4⋊C4C2314yes—
524C22×C4⋊C4C2314yes—
525C22×C22⋊C4C2314yes—
526C22×C22⋊C4C2312yes—
527C22×C22⋊C4C2314yes—
528C22×C22⋊C4C2312yes—
529C22×C22⋊C4C2314yes—
530C22×C22⋊C4C2314yes—
531C22×C22⋊C4C2314yes—
532C22×C22⋊C4C2312yes—
533C22×C22⋊C4C2314yes—
534C22×C22⋊C4C2314yes—
535C22×C42C2312yes—
536C22×C42C2311yescharacteristic
537C22×C42C2311yescharacteristic
538C22×C42C2312yes—
539C22×C42C2314yes—
540#399C2314yes—
541#399C2314yes—
542#399C2314yes—
543#399C2314yes—
544#399C2314yes—
545#399C2314yes—
546#399C2314yes—
547#399C2314yes—
548#399C2314yes—
549#398C2314yes—
550#398C2314yes—
551#398C2312yes—
552#398C2312yes—
553#398C2314yes—
554#398C2314yes—
555#397C2314yes—
556#397C2314yes—
557#397C2312yes—
558#397C2312yes—
559#397C2314yes—
560#396C2312yes—
561#396C2314yes—
562#396C2314yes—
563#396C2314yes—
564#396C2314yes—
565#396C2314yes—
566#396C2314yes—
567#396C2312yes—
568#396C2314yes—
569#396C2314yes—
570#396C2314yes—
571#396C2314yes—
572#396C2314yes—
573#396C2314yes—
574#396C2312yes—
575#396C2312yes—
576#396C2314yes—
577#396C2314yes—
578#396C2314yes—
579#394C2312yes—
580#394C2314yes—
581#394C2314yes—
582#394C2314yes—
583#394C2314yes—
584#394C2314yes—
585#394C2314yes—
586#394C2314yes—
587#394C2314yes—
588#394C2312yes—
589#394C2314yes—
590#394C2314yes—
591#394C2314yes—
592#394C2314yes—
593#394C2314yes—
594#394C2314yes—
595#394C2312yes—
596#394C2312yes—
597#394C2312yes—
598#394C2312yes—
599#394C2314yes—
600#394C2314yes—
601#394C2314yes—
602#394C2314yes—
603#392C2314yes—
604#392C2314yes—
605#392C2312yes—
606#392C2312yes—
607#392C2314yes—
608#392C2314yes—
609#392C2314yes—
610#392C2314yes—
611#392C2314yes—
612#392C2314yes—
613#392C2314yes—
614#392C2314yes—
615#392C2314yes—
616#392C2314yes—
617#392C2314yes—
618#391C2312yes—
619#391C2314yes—
620#391C2312yes—
621#391C2311yescharacteristic
622#391C2312yes—
623#391C2311yescharacteristic
624#391C2312yes—
625#391C2314yes—
626#390C2311yescharacteristic
627#390C2312yes—
628#390C2312yes—
629#390C2311yescharacteristic
630#390C2312yes—
631#390C2312yes—
632#390C2312yes—
633#390C2312yes—
634#390C2312yes—
635#390C2312yes—
636#390C2312yes—
637#390C2314yes—
638#390C2312yes—
639#390C2312yes—
640#390C2311yescharacteristic
641#390C2311yescharacteristic
642#390C2312yes—
643#390C2312yes—
644#390C2312yes—
645#390C2314yes—
646#390C2314yes—
647#390C2314yes—
648#390C2314yes—
649#390C2311yescharacteristic
650#390C2312yes—
651#390C2314yes—
652#390C2314yes—
653#390C2314yes—
654#390C2314yes—
655#390C2314yes—
656#390C2312yes—
657#390C2314yes—
658#390C2312yes—
659#390C2314yes—
660#390C2312yes—
661#390C2314yes—
662#390C2312yes—
663#390C2312yes—
664#390C2314yes—
665#390C2312yes—
666#390C2311yescharacteristic
667#390C2314yes—
668#390C2312yes—
669#390C2314yes—
670#390C2314yes—
671#390C2314yes—
672#390C2314yes—
673#390C2314yes—
674#390C2314yes—
675#390C2314yes—
676#389C2312yes—
677#389C2312yes—
678#389C2312yes—
679#389C2312yes—
680#389C2314yes—
681#389C2312yes—
682#389C2314yes—
683#389C2311yescharacteristic
684#389C2311yescharacteristic
685#389C2312yes—
686#389C2312yes—
687#389C2312yes—
688#389C2311yescharacteristic
689#389C2312yes—
690#389C2314yes—
691#389C2312yes—
692#389C2314yes—
693#389C2314yes—
694#389C2312yes—
695#389C2312yes—
696#389C2314yes—
697#389C2314yes—
698#389C2312yes—
699#389C2314yes—
700#389C2311yescharacteristic
701#388C2314yes—
702#388C2314yes—
703#388C2314yes—
704#388C2314yes—
705#388C2314yes—
706#388C2314yes—
707#388C2312yes—
708#388C2314yes—
709#388C2312yes—
710#388C2312yes—
711#388C2312yes—
712#388C2312yes—
713#388C2314yes—
714#388C2314yes—
715#388C2312yes—
716#388C2312yes—
717#388C2314yes—
718#388C2312yes—
719#388C2314yes—
720#388C2314yes—
721#388C2314yes—
722#388C2314yes—
723#388C2314yes—
724#388C2312yes—
725#388C2314yes—
726#388C2314yes—
727#388C2312yes—
728#388C2314yes—
729#388C2312yes—
730#388C2312yes—
731#388C2314yes—
732#388C2312yes—
733#387C2314yes—
734#387C2314yes—
735#387C2314yes—
736#387C2312yes—
737#387C2312yes—
738#387C2312yes—
739#387C2314yes—
740#387C2314yes—
741#387C2314yes—
742#386C2314yes—
743#386C2314yes—
744#386C2314yes—
745#386C2314yes—
746#386C2314yes—
747#386C2314yes—
748#386C2314yes—
749#386C2314yes—
750#386C2312yes—
751#386C2312yes—
752#386C2314yes—
753#386C2312yes—
754#386C2312yes—
755#386C2312yes—
756#386C2312yes—
757#386C2312yes—
758#386C2314yes—
759#386C2314yes—
760#386C2314yes—
761#386C2314yes—
762#386C2314yes—
763#386C2312yes—
764#386C2314yes—
765#386C2312yes—
766#385C2312yes—
767#385C2312yes—
768#385C2314yes—
769#385C2314yes—
770#385C2314yes—
771#385C2312yes—
772#385C2312yes—
773#385C2314yes—
774#385C2314yes—
775#385C2314yes—
776#385C2312yes—
777#384C2311yescharacteristic
778#384C2312yes—
779#384C2311yescharacteristic
780#384C2312yes—
781#384C2312yes—
782#384C2314yes—
783#382C2311yescharacteristic
784#381C2314yes—
785#381C2312yes—
786#380C2312yes—
787#380C2312yes—
788#380C2311yescharacteristic
789#380C2312yes—
790#380C2312yes—
791#380C2311yescharacteristic
792#380C2311yescharacteristic
793#380C2314yes—
794#380C2312yes—
795#380C2314yes—
796#380C2314yes—
797#380C2312yes—
798#380C2312yes—
799#380C2311yescharacteristic
800#380C2314yes—
801#379C2314yes—
802#379C2312yes—
803C4×C4⋊C4C2311yescharacteristic
804C4×C4⋊C4C2312yes—
805C4×C4⋊C4C2314yes—
806C4×C4⋊C4C2312yes—
807C4×C4⋊C4C2312yes—
808C4×C4⋊C4C2312yes—
809C4×C4⋊C4C2311yescharacteristic
810C4×C4⋊C4C2311yescharacteristic
811C4×C4⋊C4C2314yes—
812C4×C4⋊C4C2311yescharacteristic
813C4×C4⋊C4C2312yes—
814C4×C4⋊C4C2311yescharacteristic
815C4×C4⋊C4C2311yescharacteristic
816C4×C4⋊C4C2312yes—
817C4×C4⋊C4C2311yescharacteristic
818C4×C4⋊C4C2312yes—
819C4×C4⋊C4C2311yescharacteristic
820C4×C4⋊C4C2311yescharacteristic
821C4×C4⋊C4C2312yes—
822C4×C22⋊C4C2314yes—
823C4×C22⋊C4C2311yescharacteristic
824C4×C22⋊C4C2312yes—
825C4×C22⋊C4C2312yes—
826C4×C22⋊C4C2311yescharacteristic
827C4×C22⋊C4C2312yes—
828C4×C22⋊C4C2311yescharacteristic
829C4×C22⋊C4C2314yes—
830C4×C22⋊C4C2314yes—
831C4×C22⋊C4C2312yes—
832C4×C22⋊C4C2311yescharacteristic
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2314yes—
835C4×C22⋊C4C2314yes—
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2314yes—
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2314yes—
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2312yes—
842C4×C22⋊C4C2312yes—
843C4×C22⋊C4C2311yescharacteristic
844C4×C22⋊C4C2312yes—
845C4×C22⋊C4C2312yes—
846C4×C22⋊C4C2311yescharacteristic
847C4×C22⋊C4C2312yes—
848C2×#95C2314yes—
849C2×#95C2312yes—
850C2×#95C2312yes—
851C43C2311yescharacteristic
852C43C2312yes—
853C25C2412yes—
854C25C2414yes—
855C2×#41—28no—
856C2×#41—28no—
857C2×#41—24no—
858C2×#41—28no—
859C2×#41—24no—
860C2×#41—28no—
861C2×#41—28no—
862C2×#41—24no—
863C2×#41—44no—
864C2×#41—44no—
865C2×#41—44no—
866C2×#41—44no—
867C22×Q8—44no—
868C22×Q8—44no—
869C22×Q8C2×D4116yescomplemented
870C22×Q8C2411yescharacteristic
871C22×Q8C2412yes—
872C22×Q8C2411yescharacteristic
873C22×Q8C2412yes—
874C22×Q8C2414yes—
875C22×D4—24no—
876C22×D4—28no—
877C22×D4—24no—
878C22×D4—28no—
879C22×D4—24no—
880C22×D4—28no—
881C22×D4—28no—
882C22×D4—44no—
883C22×D4—48no—
884C22×D4—44no—
885C22×D4—48no—
886C22×D4—48no—
887C22×D4C2412yes—
888C22×D4C2414yes—
889C22×D4C2414yes—
890C22×D4C2412yes—
891C22×D4C2411yescharacteristic
892C22×D4C2412yes—
893C22×D4C2411yescharacteristic
894C22×D4C2412yes—
895C22×D4C2411yescharacteristic
896C22×D4C2412yes—
897C22×D4C2411yescharacteristic
898C22×D4C2412yes—
899C22×D4C2412yes—
900C22×D4C2412yes—
901C22×D4C2412yes—
902C22×D4C2414yes—
903C22×D4C2412yes—
904C22×D4C2412yes—
905C22×D4C2414yes—
906C22×D4C2414yes—
907C22×D4C2414yes—
908C22×D4C2414yes—
909C22×D4C2414yes—
910C22×D4C2412yes—
911C22×D4C2414yes—
912C22×D4C2414yes—
913C22×D4C2414yes—
914C22×D4C2411yescharacteristic
915C23×C4—28no—
916C23×C4—44no—
917C23×C4—44no—
918C23×C4C2414yes—
919C23×C4C2412yes—
920C23×C4C2412yes—
921C23×C4C2411yescharacteristic
922C23×C4C2412yes—
923C23×C4C2411yescharacteristic
924C23×C4C2412yes—
925C23×C4C2411yescharacteristic
926C23×C4C2411yescharacteristic
927C23×C4C2411yescharacteristic
928C23×C4C2414yes—
929C23×C4C2412yes—
930C23×C4C2412yes—
931C23×C4C2412yes—
932C23×C4C2412yes—
933C23×C4C2412yes—
934C23×C4C2414yes—
935C23×C4C2414yes—
936C23×C4C2414yes—
937C23×C4C2411yescharacteristic
938C23×C4C2412yes—
939C23×C4C2414yes—
940C23×C4C2412yes—
941C4⋊Q8—24no—
942C4⋊Q8—44no—
943C4⋊Q8C2×D418yescomplemented
944C4⋊Q8C2×D4116yescomplemented
945#127—24no—
946#127—42no—
947#127—44no—
948#127—44no—
949#127—48no—
950#127—44no—
951#126—216no—
952#126—28no—
953#126—28no—
954#126—216no—
955#126—216no—
956#126—216no—
957#125—24no—
958#125—24no—
959#125—28no—
960#125—216no—
961#124—24no—
962#124—28no—
963#124—216no—
964#124—28no—
965#124—28no—
966#124—216no—
967#124—24no—
968#124—216no—
969#124—216no—
970#124—28no—
971#124—28no—
972#124—28no—
973#124—24no—
974#124—44no—
975#123—216no—
976#123—28no—
977#123—28no—
978#123—216no—
979#123—216no—
980#123—216no—
981#123—216no—
982#123—216no—
983#123—216no—
984#123—216no—
985#123—28no—
986#123—48no—
987#123—48no—
988#123—48no—
989C22⋊Q8—24no—
990C22⋊Q8—28no—
991C22⋊Q8—216no—
992C22⋊Q8—28no—
993C22⋊Q8—28no—
994C22⋊Q8—216no—
995C22⋊Q8—24no—
996C22⋊Q8—216no—
997C22⋊Q8—216no—
998C22⋊Q8—28no—
999C22⋊Q8—28no—
1000C22⋊Q8—28no—
1001C22⋊Q8—28no—
1002C22⋊Q8—24no—
1003C22⋊Q8—44no—
1004C22⋊Q8—44no—
1005C22⋊Q8—44no—
1006C22⋊Q8C2×D4116yescomplemented
1007C22⋊Q8C2×D4132yescomplemented
1008#121—28no—
1009#121—28no—
1010#121—216no—
1011#121—216no—
1012#121—216no—
1013#121—28no—
1014#121—24no—
1015#121—24no—
1016#121—28no—
1017#121—28no—
1018#121—216no—
1019#121—28no—
1020#121—28no—
1021#121—28no—
1022#121—24no—
1023#121—24no—
1024#121—28no—
1025#121—24no—
1026#121—48no—
1027#121—48no—
1028#121—48no—
1029#121—48no—
1030#121—48no—
1031#121—44no—
1032#121—44no—
1033#121—44no—
1034#121—44no—
1035#121—44no—
1036#121—44no—
1037#121—44no—
1038#121—48no—
1039#121—48no—
1040#121—48no—
1041#120—216no—
1042#120—216no—
1043#120—216no—
1044#120—28no—
1045#120—216no—
1046#120—48no—
1047#120—48no—
1048#120—48no—
1049C4×Q8—28no—
1050C4×Q8—28no—
1051C4×Q8—24no—
1052C4×Q8—28no—
1053C4×Q8—24no—
1054C4×Q8—28no—
1055C4×Q8—24no—
1056C4×Q8—28no—
1057C4×Q8—48no—
1058C4×Q8—48no—
1059C4×Q8—44no—
1060C4×Q8—44no—
1061C4×Q8—42no—
1062C4×Q8C2×D418yescomplemented
1063C4×D4—24no—
1064C4×D4—24no—
1065C4×D4—28no—
1066C4×D4—24no—
1067C4×D4—28no—
1068C4×D4—28no—
1069C4×D4—216no—
1070C4×D4—216no—
1071C4×D4—24no—
1072C4×D4—28no—
1073C4×D4—216no—
1074C4×D4—28no—
1075C4×D4—28no—
1076C4×D4—28no—
1077C4×D4—28no—
1078C4×D4—216no—
1079C4×D4—216no—
1080C4×D4—24no—
1081C4×D4—28no—
1082C4×D4—24no—
1083C4×D4—28no—
1084C4×D4—28no—
1085C4×D4—24no—
1086C4×D4—24no—
1087C4×D4—28no—
1088C4×D4—48no—
1089C4×D4—42no—
1090C4×D4—44no—
1091C4×D4—44no—
1092C4×D4—44no—
1093C4×D4—44no—
1094C4×D4—42no—
1095C4×D4C2×D418yes—
1096C4×D4C2×D4116yes—
1097C4×D4#4118yescomplemented
1098#117—24no—
1099#117—28no—
1100#117—28no—
1101#117—216no—
1102#117—28no—
1103#117—28no—
1104#117—216no—
1105#117—28no—
1106#117—28no—
1107C2×C4⋊C4—216no—
1108C2×C4⋊C4—28no—
1109C2×C4⋊C4—24no—
1110C2×C4⋊C4—28no—
1111C2×C4⋊C4—28no—
1112C2×C4⋊C4—48no—
1113C2×C4⋊C4—48no—
1114C2×C4⋊C4C2411yescharacteristic
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2414yes—
1117C2×C4⋊C4C2411yescharacteristic
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2414yes—
1122C2×C4⋊C4C2414yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2414yes—
1125C2×C4⋊C4C2414yes—
1126C2×C4⋊C4C2414yes—
1127C2×C4⋊C4C2411yescharacteristic
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2412yes—
1135C2×C4⋊C4C2411yescharacteristic
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2411yescharacteristic
1138C2×C4⋊C4C2412yes—
1139C2×C4⋊C4C2411yescharacteristic
1140C2×C4⋊C4C2412yes—
1141C2×C4⋊C4C2411yescharacteristic
1142C2×C4⋊C4C2414yes—
1143C2×C4⋊C4C2414yes—
1144C2×C4⋊C4C2414yes—
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2412yes—
1147C2×C4⋊C4C2414yes—
1148C2×C4⋊C4C2414yes—
1149C2×C4⋊C4C2414yes—
1150C2×C4⋊C4C2414yes—
1151C2×C4⋊C4C2414yes—
1152C2×C4⋊C4C2412yes—
1153C2×C4⋊C4C2412yes—
1154C2×C4⋊C4C2412yes—
1155C2×C4⋊C4C2411yescharacteristic
1156C2×C4⋊C4C2411yescharacteristic
1157C2×C4⋊C4C2412yes—
1158C2×C4⋊C4C2414yes—
1159C2×C4⋊C4C2412yes—
1160C2×C4⋊C4C2414yes—
1161C2×C4⋊C4C2414yes—
1162C2×C4⋊C4C2412yes—
1163C2×C4⋊C4C2411yescharacteristic
1164C2×C4⋊C4C2412yes—
1165C2×C4⋊C4C2411yescharacteristic
1166C2×C4⋊C4C2412yes—
1167C2×C4⋊C4C2414yes—
1168C2×C4⋊C4C2412yes—
1169C2×C4⋊C4C2411yescharacteristic
1170C2×C4⋊C4C2411yescharacteristic
1171C2×C22⋊C4—216no—
1172C2×C22⋊C4—216no—
1173C2×C22⋊C4—216no—
1174C2×C22⋊C4—28no—
1175C2×C22⋊C4—216no—
1176C2×C22⋊C4—28no—
1177C2×C22⋊C4—216no—
1178C2×C22⋊C4—48no—
1179C2×C22⋊C4—44no—
1180C2×C22⋊C4—48no—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2414yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2411yescharacteristic
1188C2×C22⋊C4C2411yescharacteristic
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2414yes—
1193C2×C22⋊C4C2414yes—
1194C2×C22⋊C4C2414yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2414yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2414yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2414yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2414yes—
1204C2×C22⋊C4C2414yes—
1205C2×C22⋊C4C2414yes—
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2414yes—
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2414yes—
1210C2×C22⋊C4C2412yes—
1211C2×C22⋊C4C2412yes—
1212C2×C22⋊C4C2412yes—
1213C2×C22⋊C4C2414yes—
1214C2×C22⋊C4C2414yes—
1215C2×C22⋊C4C2412yes—
1216C2×C22⋊C4C2414yes—
1217C2×C22⋊C4C2412yes—
1218C2×C22⋊C4C2412yes—
1219C2×C22⋊C4C2414yes—
1220C2×C22⋊C4C2412yes—
1221C2×C22⋊C4C2412yes—
1222C2×C22⋊C4C2411yescharacteristic
1223C2×C22⋊C4C2412yes—
1224C2×C22⋊C4C2414yes—
1225C2×C22⋊C4C2412yes—
1226C2×C22⋊C4C2414yes—
1227C2×C22⋊C4C2412yes—
1228C2×C22⋊C4C2412yes—
1229C2×C22⋊C4C2414yes—
1230C2×C22⋊C4C2414yes—
1231C2×C22⋊C4C2414yes—
1232C2×C22⋊C4C2414yes—
1233C2×C22⋊C4C2414yes—
1234C2×C22⋊C4C2412yes—
1235C2×C22⋊C4C2412yes—
1236C2×C22⋊C4C2412yes—
1237C2×C22⋊C4C2412yes—
1238C2×C22⋊C4C2412yes—
1239C2×C22⋊C4C2412yes—
1240C2×C22⋊C4C2412yes—
1241C2×C22⋊C4C2412yes—
1242C2×C22⋊C4C2412yes—
1243C2×C22⋊C4C2411yescharacteristic
1244C2×C22⋊C4C2411yescharacteristic
1245C2×C22⋊C4C2411yescharacteristic
1246C2×C22⋊C4C2414yes—
1247C2×C22⋊C4C2414yes—
1248C2×C22⋊C4C2414yes—
1249C2×C22⋊C4C2414yes—
1250C2×C22⋊C4C2414yes—
1251C2×C22⋊C4C2414yes—
1252C2×C22⋊C4C2414yes—
1253C2×C22⋊C4C2414yes—
1254C2×C22⋊C4C2412yes—
1255C2×C22⋊C4C2412yes—
1256C2×C22⋊C4C2412yes—
1257C2×C22⋊C4C2412yes—
1258C2×C22⋊C4C2414yes—
1259C2×C22⋊C4C2412yes—
1260C2×C42—28no—
1261C2×C42—24no—
1262C2×C42—24no—
1263C2×C42—44no—
1264C2×C42—48no—
1265C2×C42C2412yes—
1266C2×C42C2411yescharacteristic
1267C2×C42C2411yescharacteristic
1268C2×C42C2414yes—
1269C2×C42C2414yes—
1270C2×C42C2411yescharacteristic
1271C2×C42C2414yes—
1272C2×C42C2411yescharacteristic
1273C2×C42C2412yes—
1274C2×C42C2412yes—
1275C2×C42C2411yescharacteristic
1276C2×C42C2411yescharacteristic
1277C2×C42C2412yes—
1278C2×C42C2414yes—
1279C2×C42C2412yes—
1280C2×C42C2411yescharacteristic
1281C2×C42C2411yescharacteristic
1282C2×C42C2412yes—
1283C2×C42C2411yescharacteristic
1284C2×C42C2411yescharacteristic
1285C2×C42C2414yes—
1286C2×C42C2412yes—
1287C2×C42C2412yes—
1288C2×C42C2414yes—
1289C2×C42C2412yes—
1290C2×C42C2412yes—
1291C2×C42C2411yescharacteristic
1292C2×C42C2412yes—
1293C2×C42C2412yes—
1294C2×C42C2411yescharacteristic
1295C2×C42C2411yescharacteristic
1296#95C2411yescharacteristic
1297#95C2411yescharacteristic
1298#95C2412yes—
1299#95C2412yes—
1300#95C2412yes—
1301#95C2412yes—
1302#95C2412yes—
1303#95C2412yes—
1304#95C2412yes—
1305#95C2414yes—
1306#95C2414yes—
1307#95C2414yes—
1308#95C2411yescharacteristic
1309#95C2412yes—
1310#95C2411yescharacteristic
1311#95C2411yescharacteristic
1312#95C2414yes—
1313#95C2412yes—
1314#95C2414yes—
1315#95C2412yes—
1316#95C2414yes—
1317#95C2412yes—
1318#95C2411yescharacteristic
1319#95C2412yes—
1320#95C2414yes—
1321#95C2414yes—
1322#95C2412yes—
1323#95C2412yes—
1324#95C2412yes—
1325#95C2414yes—
1326#95C2412yes—
1327#95C2412yes—
1328#95C2412yes—
1329#95C2412yes—
1330#95C2414yes—
1331#95C2414yes—
1332#95C2414yes—
1333#95C2412yes—
1334C24—24no—
1335C24—24no—
1336C24—24no—
1337C24—24no—
1338C24—28no—
1339C24—28no—
1340C24—28no—
1341C24—42no—
1342C24—42no—
1343C24—42no—
1344C24—44no—
1345C24—44no—
1346C24—44no—
1347C24—44no—
1348C24C2512yes—
1349C24C2512yes—
1350C24C2514yes—
1351C24C2512yes—
1352C24C2511yescharacteristic
1353C24C2511yescharacteristic
1354C24C2512yes—
1355#41—416no—
1356#41—432no—
1357#41—816no—
1358#41—816no—
1359C2×Q8—22no—
1360C2×Q8—24no—
1361C2×Q8—22no—
1362C2×Q8—24no—
1363C2×Q8—22no—
1364C2×Q8—24no—
1365C2×Q8—24no—
1366C2×Q8—22no—
1367C2×Q8—22no—
1368C2×Q8—24no—
1369C2×Q8—44no—
1370C2×Q8—44no—
1371C2×Q8—432no—
1372C2×Q8C22×D418yes—
1373C2×Q8C22×D414yes—
1374C2×Q8C22×D4116yes—
1375C2×D4—24no—
1376C2×D4—28no—
1377C2×D4—28no—
1378C2×D4—24no—
1379C2×D4—24no—
1380C2×D4—28no—
1381C2×D4—28no—
1382C2×D4—24no—
1383C2×D4—24no—
1384C2×D4—28no—
1385C2×D4—28no—
1386C2×D4—24no—
1387C2×D4—22no—
1388C2×D4—24no—
1389C2×D4—24no—
1390C2×D4—28no—
1391C2×D4—24no—
1392C2×D4—22no—
1393C2×D4—24no—
1394C2×D4—22no—
1395C2×D4—22no—
1396C2×D4—24no—
1397C2×D4—24no—
1398C2×D4—24no—
1399C2×D4—28no—
1400C2×D4—28no—
1401C2×D4—28no—
1402C2×D4—22no—
1403C2×D4—22no—
1404C2×D4—24no—
1405C2×D4—24no—
1406C2×D4—24no—
1407C2×D4—28no—
1408C2×D4—24no—
1409C2×D4—22no—
1410C2×D4—24no—
1411C2×D4—22no—
1412C2×D4—24no—
1413C2×D4—22no—
1414C2×D4—24no—
1415C2×D4—28no—
1416C2×D4—24no—
1417C2×D4—22no—
1418C2×D4—22no—
1419C2×D4—42no—
1420C2×D4—41no—
1421C2×D4—42no—
1422C2×D4—42no—
1423C2×D4—42no—
1424C2×D4—44no—
1425C2×D4—42no—
1426C2×D4—44no—
1427C2×D4—44no—
1428C2×D4—44no—
1429C2×D4—44no—
1430C2×D4—44no—
1431C2×D4—44no—
1432C2×D4—44no—
1433C2×D4—44no—
1434C2×D4—42no—
1435C2×D4—42no—
1436C2×D4—42no—
1437C2×D4—42no—
1438C2×D4—42no—
1439C2×D4—42no—
1440C2×D4—44no—
1441C2×D4—44no—
1442C2×D4—44no—
1443C2×D4—42no—
1444C2×D4—42no—
1445C2×D4—44no—
1446C2×D4—42no—
1447C2×D4—42no—
1448C2×D4—44no—
1449C2×D4—44no—
1450C2×D4—44no—
1451C2×D4—44no—
1452C2×D4—44no—
1453C2×D4—44no—
1454C2×D4—44no—
1455C2×D4—44no—
1456C2×D4—416no—
1457C2×D4—432no—
1458C2×D4—816no—
1459C2×D4—832no—
1460C2×D4C22×D414yes—
1461C2×D4C2×#4114yes—
1462C2×D4H(5,𝔽2)14yes—
1463C22×C4—24no—
1464C22×C4—24no—
1465C22×C4—24no—
1466C22×C4—28no—
1467C22×C4—28no—
1468C22×C4—24no—
1469C22×C4—28no—
1470C22×C4—24no—
1471C22×C4—28no—
1472C22×C4—22no—
1473C22×C4—24no—
1474C22×C4—24no—
1475C22×C4—24no—
1476C22×C4—22no—
1477C22×C4—22no—
1478C22×C4—22no—
1479C22×C4—22no—
1480C22×C4—22no—
1481C22×C4—24no—
1482C22×C4—24no—
1483C22×C4—24no—
1484C22×C4—24no—
1485C22×C4—22no—
1486C22×C4—22no—
1487C22×C4—24no—
1488C22×C4—28no—
1489C22×C4—22no—
1490C22×C4—22no—
1491C22×C4—24no—
1492C22×C4—24no—
1493C22×C4—22no—
1494C22×C4—24no—
1495C22×C4—22no—
1496C22×C4—22no—
1497C22×C4—22no—
1498C22×C4—24no—
1499C22×C4—22no—
1500C22×C4—24no—
1501C22×C4—28no—
1502C22×C4—28no—
1503C22×C4—28no—
1504C22×C4—24no—
1505C22×C4—42no—
1506C22×C4—44no—
1507C22×C4—42no—
1508C22×C4—41no—
1509C22×C4—44no—
1510C22×C4—44no—
1511C22×C4—42no—
1512C22×C4—42no—
1513C22×C4—42no—
1514C22×C4—42no—
1515C22×C4—44no—
1516C22×C4—44no—
1517C22×C4—41no—
1518C22×C4—42no—
1519C22×C4—42no—
1520C22×C4—44no—
1521C22×C4—42no—
1522C22×C4—42no—
1523C22×C4—42no—
1524C22×C4—41no—
1525C22×C4—44no—
1526C22×C4—42no—
1527C22×C4—44no—
1528C22×C4—44no—
1529C22×C4—816no—
1530C22×C4C22×D418yes—
1531C22×C4C22×D4116yes—
1532C22×C4C2×#4118yes—
1533C22×C4C2511yescharacteristic
1534C22×C4C2512yes—
1535C22×C4C2512yes—
1536C22×C4C2511yescharacteristic
1537C22×C4C2512yes—
1538C22×C4C2514yes—
1539C22×C4C2511yescharacteristic
1540C22×C4C2511yescharacteristic
1541C22×C4C2512yes—
1542C22×C4C2511yescharacteristic
1543C22×C4C2511yescharacteristic
1544C22×C4C2511yescharacteristic
1545C22×C4C2512yes—
1546C22×C4C2514yes—
1547C22×C4C2512yes—
1548C22×C4C2511yescharacteristic
1549C22×C4C2512yes—
1550C22×C4C2511yescharacteristic
1551C22×C4C2512yes—
1552C22×C4C2514yes—
1553C22×C4C2512yes—
1554C22×C4C2512yes—
1555C22×C4C2511yescharacteristic
1556C22×C4C2512yes—
1557C22×C4C2511yescharacteristic
1558C22×C4C2512yes—
1559C22×C4C2511yescharacteristic
1560C22×C4C2511yescharacteristic
1561C4⋊C4—22no—
1562C4⋊C4—24no—
1563C4⋊C4—28no—
1564C4⋊C4—22no—
1565C4⋊C4—24no—
1566C4⋊C4—24no—
1567C4⋊C4—28no—
1568C4⋊C4—28no—
1569C4⋊C4—28no—
1570C4⋊C4—22no—
1571C4⋊C4—24no—
1572C4⋊C4—24no—
1573C4⋊C4—24no—
1574C4⋊C4—24no—
1575C4⋊C4—24no—
1576C4⋊C4—24no—
1577C4⋊C4—24no—
1578C4⋊C4—22no—
1579C4⋊C4—24no—
1580C4⋊C4—28no—
1581C4⋊C4—28no—
1582C4⋊C4—22no—
1583C4⋊C4—24no—
1584C4⋊C4—28no—
1585C4⋊C4—24no—
1586C4⋊C4—28no—
1587C4⋊C4—24no—
1588C4⋊C4—24no—
1589C4⋊C4—28no—
1590C4⋊C4—24no—
1591C4⋊C4—22no—
1592C4⋊C4—22no—
1593C4⋊C4—42no—
1594C4⋊C4—44no—
1595C4⋊C4—44no—
1596C4⋊C4—44no—
1597C4⋊C4—44no—
1598C4⋊C4—44no—
1599C4⋊C4—42no—
1600C4⋊C4—41no—
1601C4⋊C4—41no—
1602C4⋊C4—42no—
1603C4⋊C4—42no—
1604C4⋊C4—42no—
1605C4⋊C4—42no—
1606C4⋊C4—42no—
1607C4⋊C4—44no—
1608C4⋊C4—44no—
1609C4⋊C4—44no—
1610C4⋊C4C22×D414yes—
1611C4⋊C4C22×D418yes—
1612C4⋊C4C22×D414yes—
1613C4⋊C4C22×D4116yes—
1614C4⋊C4C22×D418yes—
1615C4⋊C4C22×D418yes—
1616C4⋊C4C2×#4114yes—
1617C4⋊C4H(5,𝔽2)14yes—
1618C22⋊C4—24no—
1619C22⋊C4—24no—
1620C22⋊C4—28no—
1621C22⋊C4—24no—
1622C22⋊C4—22no—
1623C22⋊C4—24no—
1624C22⋊C4—24no—
1625C22⋊C4—28no—
1626C22⋊C4—24no—
1627C22⋊C4—24no—
1628C22⋊C4—24no—
1629C22⋊C4—28no—
1630C22⋊C4—28no—
1631C22⋊C4—28no—
1632C22⋊C4—24no—
1633C22⋊C4—28no—
1634C22⋊C4—24no—
1635C22⋊C4—28no—
1636C22⋊C4—28no—
1637C22⋊C4—28no—
1638C22⋊C4—28no—
1639C22⋊C4—24no—
1640C22⋊C4—24no—
1641C22⋊C4—24no—
1642C22⋊C4—28no—
1643C22⋊C4—28no—
1644C22⋊C4—24no—
1645C22⋊C4—28no—
1646C22⋊C4—24no—
1647C22⋊C4—24no—
1648C22⋊C4—28no—
1649C22⋊C4—24no—
1650C22⋊C4—22no—
1651C22⋊C4—24no—
1652C22⋊C4—24no—
1653C22⋊C4—28no—
1654C22⋊C4—24no—
1655C22⋊C4—28no—
1656C22⋊C4—24no—
1657C22⋊C4—28no—
1658C22⋊C4—22no—
1659C22⋊C4—24no—
1660C22⋊C4—24no—
1661C22⋊C4—28no—
1662C22⋊C4—24no—
1663C22⋊C4—28no—
1664C22⋊C4—24no—
1665C22⋊C4—42no—
1666C22⋊C4—42no—
1667C22⋊C4—42no—
1668C22⋊C4—44no—
1669C22⋊C4—44no—
1670C22⋊C4—44no—
1671C22⋊C4—44no—
1672C22⋊C4—44no—
1673C22⋊C4—42no—
1674C22⋊C4—42no—
1675C22⋊C4—42no—
1676C22⋊C4—41no—
1677C22⋊C4—41no—
1678C22⋊C4—41no—
1679C22⋊C4—42no—
1680C22⋊C4—42no—
1681C22⋊C4—42no—
1682C22⋊C4—42no—
1683C22⋊C4—42no—
1684C22⋊C4—42no—
1685C22⋊C4—42no—
1686C22⋊C4—44no—
1687C22⋊C4—44no—
1688C22⋊C4—44no—
1689C22⋊C4—44no—
1690C22⋊C4—44no—
1691C22⋊C4—44no—
1692C22⋊C4—44no—
1693C22⋊C4—44no—
1694C22⋊C4C22×D418yes—
1695C22⋊C4C22×D4116yes—
1696C22⋊C4C2×#4118yes—
1697C42—22no—
1698C42—24no—
1699C42—22no—
1700C42—22no—
1701C42—22no—
1702C42—24no—
1703C42—22no—
1704C42—22no—
1705C42—24no—
1706C42—28no—
1707C42—28no—
1708C42—28no—
1709C42—24no—
1710C42—22no—
1711C42—28no—
1712C42—24no—
1713C42—22no—
1714C42—24no—
1715C42—22no—
1716C42—44no—
1717C42—42no—
1718C42—44no—
1719C42—42no—
1720C42—41no—
1721C42—42no—
1722C42—41no—
1723C42—42no—
1724C42—42no—
1725C42C22×D414yes—
1726C42C22×D418yes—
1727C42C2×#4114yes—
1728C23—22no—
1729C23—22no—
1730C23—22no—
1731C23—22no—
1732C23—21no—
1733C23—21no—
1734C23—21no—
1735C23—21no—
1736C23—21no—
1737C23—21no—
1738C23—22no—
1739C23—22no—
1740C23—22no—
1741C23—24no—
1742C23—21no—
1743C23—22no—
1744C23—22no—
1745C23—24no—
1746C23—21no—
1747C23—22no—
1748C23—22no—
1749C23—24no—
1750C23—22no—
1751C23—21no—
1752C23—22no—
1753C23—22no—
1754C23—24no—
1755C23—21no—
1756C23—22no—
1757C23—22no—
1758C23—22no—
1759C23—22no—
1760C23—21no—
1761C23—21no—
1762C23—24no—
1763C23—24no—
1764C23—22no—
1765C23—22no—
1766C23—22no—
1767C23—22no—
1768C23—22no—
1769C23—22no—
1770C23—22no—
1771C23—21no—
1772C23—24no—
1773C23—48no—
1774C23—48no—
1775C23—48no—
1776C23—48no—
1777C23—416no—
1778C23—84no—
1779C23—84no—
1780C23—84no—
1781C23—88no—
1782C23—88no—
1783C23—88no—
1784C23—88no—
1785C23—88no—
1786C23—88no—
1787C23C23×D414yes—
1788C23C22×#4114yes—
1789C23C2×H(5,𝔽2)14yes—
1790C23#58512yes—
1791C23C2611yescharacteristic
1792Q8—28no—
1793Q8—216no—
1794Q8—416no—
1795Q8—44no—
1796Q8—48no—
1797D4—48no—
1798D4—44no—
1799D4—48no—
1800D4—416no—
1801D4—48no—
1802D4—48no—
1803D4—416no—
1804D4—44no—
1805D4—48no—
1806D4—44no—
1807D4—48no—
1808D4—44no—
1809D4—88no—
1810D4—84no—
1811D4—84no—
1812D4—84no—
1813D4—84no—
1814D4—84no—
1815D4—88no—
1816D4—88no—
1817D4—88no—
1818D4—88no—
1819D4—88no—
1820D4—84no—
1821D4—88no—
1822D4—164no—
1823D4—164no—
1824D4#550116yescomplemented
1825C2×C4—21no—
1826C2×C4—22no—
1827C2×C4—22no—
1828C2×C4—24no—
1829C2×C4—22no—
1830C2×C4—22no—
1831C2×C4—21no—
1832C2×C4—21no—
1833C2×C4—21no—
1834C2×C4—22no—
1835C2×C4—22no—
1836C2×C4—22no—
1837C2×C4—22no—
1838C2×C4—24no—
1839C2×C4—21no—
1840C2×C4—21no—
1841C2×C4—22no—
1842C2×C4—22no—
1843C2×C4—216no—
1844C2×C4—21no—
1845C2×C4—21no—
1846C2×C4—22no—
1847C2×C4—21no—
1848C2×C4—22no—
1849C2×C4—22no—
1850C2×C4—24no—
1851C2×C4—21no—
1852C2×C4—21no—
1853C2×C4—21no—
1854C2×C4—22no—
1855C2×C4—22no—
1856C2×C4—21no—
1857C2×C4—22no—
1858C2×C4—22no—
1859C2×C4—24no—
1860C2×C4—22no—
1861C2×C4—21no—
1862C2×C4—21no—
1863C2×C4—22no—
1864C2×C4—21no—
1865C2×C4—22no—
1866C2×C4—21no—
1867C2×C4—24no—
1868C2×C4—21no—
1869C2×C4—22no—
1870C2×C4—21no—
1871C2×C4—24no—
1872C2×C4—22no—
1873C2×C4—21no—
1874C2×C4—22no—
1875C2×C4—22no—
1876C2×C4—24no—
1877C2×C4—21no—
1878C2×C4—22no—
1879C2×C4—21no—
1880C2×C4—21no—
1881C2×C4—22no—
1882C2×C4—22no—
1883C2×C4—21no—
1884C2×C4—22no—
1885C2×C4—21no—
1886C2×C4—24no—
1887C2×C4—22no—
1888C2×C4—21no—
1889C2×C4—21no—
1890C2×C4—21no—
1891C2×C4—22no—
1892C2×C4—21no—
1893C2×C4—21no—
1894C2×C4—22no—
1895C2×C4—416no—
1896C2×C4—48no—
1897C2×C4—44no—
1898C2×C4—416no—
1899C2×C4—48no—
1900C2×C4—416no—
1901C2×C4—44no—
1902C2×C4—48no—
1903C2×C4—44no—
1904C2×C4—48no—
1905C2×C4—44no—
1906C2×C4—48no—
1907C2×C4—44no—
1908C2×C4—82no—
1909C2×C4—88no—
1910C2×C4—84no—
1911C2×C4—84no—
1912C2×C4—88no—
1913C2×C4—88no—
1914C2×C4—84no—
1915C2×C4—84no—
1916C2×C4—84no—
1917C2×C4C23×D412yes—
1918C2×C4C23×D414yes—
1919C2×C4C23×D414yes—
1920C2×C4C23×D418yes—
1921C2×C4C23×D414yes—
1922C2×C4C23×D412yes—
1923C2×C4C23×D412yes—
1924C2×C4C22×#4112yes—
1925C2×C4C22×#4112yes—
1926C2×C4C22×#4114yes—
1927C2×C4C22×#4112yes—
1928C2×C4C2×H(5,𝔽2)14yes—
1929C2×C4C2×H(5,𝔽2)12yes—
1930C2×C4C2×H(5,𝔽2)12yes—
1931C2×C4#58512yes—
1932C22—24no—
1933C22—24no—
1934C22—24no—
1935C22—24no—
1936C22—24no—
1937C22—24no—
1938C22—22no—
1939C22—22no—
1940C22—22no—
1941C22—41no—
1942C22—41no—
1943C22—41no—
1944C22—41no—
1945C22—42no—
1946C22—41no—
1947C22—42no—
1948C22—44no—
1949C22—42no—
1950C22—41no—
1951C22—44no—
1952C22—42no—
1953C22—42no—
1954C22—42no—
1955C22—42no—
1956C22—42no—
1957C22—44no—
1958C22—41no—
1959C22—42no—
1960C22—42no—
1961C22—41no—
1962C22—42no—
1963C22—44no—
1964C22—42no—
1965C22—41no—
1966C22—42no—
1967C22—42no—
1968C22—42no—
1969C22—44no—
1970C22—42no—
1971C22—42no—
1972C22—42no—
1973C22—44no—
1974C22—41no—
1975C22—42no—
1976C22—41no—
1977C22—42no—
1978C22—42no—
1979C22—44no—
1980C22—816no—
1981C22—1616no—
1982C22C2×#55018yes—
1983C22C24×D411yescharacteristic
1984C22C23×#4111yescharacteristic
1985C22C22×H(5,𝔽2)11yescharacteristic
1986C22C22×H(5,𝔽2)11yescharacteristic
1987C22C2×#58511yescharacteristic
1988C22C2×#58511yescharacteristic
1989C222−1+611yescharacteristic
1990C4—22no—
1991C4—24no—
1992C4—22no—
1993C4—24no—
1994C4—24no—
1995C4—24no—
1996C4—24no—
1997C4—28no—
1998C4—22no—
1999C4—41no—
2000C4—42no—
2001C4—41no—
2002C4—44no—
2003C4—41no—
2004C4—42no—
2005C4—41no—
2006C4—41no—
2007C4—42no—
2008C4—41no—
2009C4—42no—
2010C4—41no—
2011C4—42no—
2012C4—42no—
2013C4—41no—
2014C4—42no—
2015C4—44no—
2016C4C2×#55014yes—
2017C4#349614yes—
2018C2—28no—
2019C2—42no—
2020C2—81no—
2021C2—82no—
2022C2—82no—
2023C2—84no—
2024C2—82no—
2025C2C22×#55011yescharacteristic
2026C2C2×#349611yescharacteristic
2027C2#6281611yescharacteristic
2028C2#6292111yescharacteristic
2029C2#6298411yescharacteristic
2030C2#6300211yescharacteristic
2031C2#6301211yescharacteristic
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×#3514C2semidirect
2. C2×#3520C2semidirect
3. #59819C2semidirect
4. #59807C2semidirect
5. #59652C2semidirect
6. #59410C2semidirect
7. #59055C2semidirect
8. #59051C2semidirect
9. #59047C2semidirect
10. #59003C2semidirect
11. #45112C2semidirect
12. #44897C2semidirect
13. #43913C2semidirect
14. #43029C2semidirect
15. #39381C2semidirect
16. #39380C2semidirect
17. #39137C2semidirect
18. #39136C2semidirect
19. #39135C2semidirect
20. #39133C2semidirect
21. #36597C2semidirect
22. #36576C2semidirect
23. #36260C2semidirect
24. #36260C2semidirect
25. #36259C2semidirect
26. #36150C2semidirect
27. #36144C2semidirect
28. D4×#121C2semidirect
29. #35821C2semidirect
30. #35761C2semidirect
31. #34934C2semidirect
32. C2×#2426C2semidirect
33. #34309C2semidirect
34. C4×D4×Q8C2semidirect
35. C4×#546C2semidirect
38. C2×#559C22semidirect
39. C2×#556C22semidirect
40. C2×#556C22semidirect
41. C2×#555C22semidirect
42. C2×#554C22semidirect
43. C2×#552C22semidirect
44. C2×#551C22semidirect
45. C2×#551C22semidirect
46. C2×#550C22semidirect
48. C2×#548C22semidirect
49. C2×#548C22semidirect
52. C2×#547C22semidirect
58. C2×#546C22semidirect
61. C2×#542C22semidirect
62. C2×#542C22semidirect
63. C2×#539C22semidirect
64. C2×#538C22semidirect
65. C2×#533C22semidirect
66. C2×#532C22semidirect
67. C2×#529C22semidirect
68. C2×#529C22semidirect
69. C2×#529C22semidirect
70. C22×#124C22semidirect
71. C2×#525C22semidirect
72. C22×C22⋊Q8C22semidirect
77. C22×C4×Q8C22semidirect
79. #2858C22semidirect
80. #2858C22semidirect
81. #2857C22semidirect
83. #2856C22semidirect
84. #2856C22semidirect
85. #2854C22semidirect
87. #2733C22semidirect
88. #2733C22semidirect
89. #2732C22semidirect
90. #2732C22semidirect
91. #2730C22semidirect
92. #2730C22semidirect
93. #2730C22semidirect
94. #2730C22semidirect
95. #2727C22semidirect
96. #2727C22semidirect
97. #2721C22semidirect
98. #2721C22semidirect
99. #2714C22semidirect
100. #2705C22semidirect
101. #2705C22semidirect
102. #2705C22semidirect
103. #2694C22semidirect
104. #2682C22semidirect
105. #2682C22semidirect
106. #2673C22semidirect
107. #2673C22semidirect
108. #2620C22semidirect
109. #2620C22semidirect
110. #2618C22semidirect
111. #2617C22semidirect
112. #2554C22semidirect
113. #2554C22semidirect
114. #2554C22semidirect
115. #2554C22semidirect
116. #2554C22semidirect
117. #2554C22semidirect
118. #2554C22semidirect
119. #2552C22semidirect
120. #2548C22semidirect
121. #2548C22semidirect
122. #2548C22semidirect
123. #2546C22semidirect
124. #2545C22semidirect
125. #2544C22semidirect
126. #2542C22semidirect
127. #2542C22semidirect
130. #2541C22semidirect
131. #2541C22semidirect
132. #2540C22semidirect
133. #2540C22semidirect
134. #2540C22semidirect
135. #2540C22semidirect
136. #2540C22semidirect
137. #2540C22semidirect
138. #2539C22semidirect
139. #2539C22semidirect
140. #2539C22semidirect
141. #2539C22semidirect
142. #2539C22semidirect
143. #2539C22semidirect
144. #2538C22semidirect
145. #2538C22semidirect
146. #2538C22semidirect
147. #2538C22semidirect
148. #2538C22semidirect
150. #2537C22semidirect
151. #2534C22semidirect
152. #2534C22semidirect
153. #2512C22semidirect
154. #2501C22semidirect
155. #2501C22semidirect
156. #2490C22semidirect
157. #2490C22semidirect
158. #2490C22semidirect
159. #2490C22semidirect
160. #2486C22semidirect
161. #2479C22semidirect
162. #2479C22semidirect
163. #2471C22semidirect
164. #2467C22semidirect
165. #2456C22semidirect
166. #2456C22semidirect
167. #2454C22semidirect
168. #2454C22semidirect
169. #2448C22semidirect
170. #2448C22semidirect
171. #2445C22semidirect
172. #2441C22semidirect
173. #2441C22semidirect
174. #2433C22semidirect
175. #2433C22semidirect
176. #2431C22semidirect
177. #2431C22semidirect
178. #2429C22semidirect
179. #2429C22semidirect
181. #2428C22semidirect
182. #2428C22semidirect
183. #2428C22semidirect
184. #2427C22semidirect
187. #2426C22semidirect
188. #2426C22semidirect
189. #2426C22semidirect
190. #2426C22semidirect
191. #2426C22semidirect
192. #2426C22semidirect
193. #2426C22semidirect
194. #2426C22semidirect
195. #2426C22semidirect
196. #2426C22semidirect
197. #2426C22semidirect
198. #2426C22semidirect
199. #2426C22semidirect
200. #2426C22semidirect
201. #2426C22semidirect
202. #2425C22semidirect
203. #2425C22semidirect
204. #2425C22semidirect
206. #2424C22semidirect
207. #2424C22semidirect
208. #2423C22semidirect
209. #2423C22semidirect
210. #2417C22semidirect
213. #2416C22semidirect
214. #2416C22semidirect
215. #2416C22semidirect
216. #2416C22semidirect
217. #2415C22semidirect
218. #2415C22semidirect
219. #2414C22semidirect
220. #2414C22semidirect
221. #2414C22semidirect
222. #2413C22semidirect
223. #2413C22semidirect
224. #2412C22semidirect
225. #2411C22semidirect
227. #2410C22semidirect
229. #2407C22semidirect
230. #2407C22semidirect
231. #2392C22semidirect
232. #2392C22semidirect
233. C2×#396C22semidirect
234. C2×#394C22semidirect
235. #2367C22semidirect
236. #2367C22semidirect
237. #2365C22semidirect
238. #2365C22semidirect
239. #2364C22semidirect
240. #2364C22semidirect
241. #2363C22semidirect
242. #2363C22semidirect
243. #2363C22semidirect
244. #2363C22semidirect
245. #2363C22semidirect
246. #2362C22semidirect
247. #2361C22semidirect
248. #2360C22semidirect
249. #2360C22semidirect
250. #2360C22semidirect
251. #2359C22semidirect
252. #2359C22semidirect
253. #2358C22semidirect
254. #2358C22semidirect
255. #2352C22semidirect
256. #2352C22semidirect
257. Q8×C4⋊C4C22semidirect
258. Q8×C4⋊C4C22semidirect
262. #2342C22semidirect
263. #2342C22semidirect
264. #2341C22semidirect
265. #2341C22semidirect
266. Q8×C22⋊C4C22semidirect
271. #2324C22semidirect
272. #2323C22semidirect
273. #2322C22semidirect
274. #2321C22semidirect
275. C4×C4⋊Q8C22semidirect
276. C4×C4⋊Q8C22semidirect
277. C4×#127C22semidirect
278. C4×#127C22semidirect
279. C4×#124C22semidirect
280. C4×#124C22semidirect
281. C4×C22⋊Q8C22semidirect
282. C4×C22⋊Q8C22semidirect
283. C4×C22⋊Q8C22semidirect
284. C4×#123C22semidirect
286. C4×#121C22semidirect
287. C4×#121C22semidirect
288. C4×#121C22semidirect
289. C4×#121C22semidirect
290. C4×#120C22semidirect
291. #2293C22semidirect
292. C2×#390C22semidirect
293. C2×#390C22semidirect
294. C2×#389C22semidirect
295. C2×#388C22semidirect
296. C42×Q8C22semidirect
299. C42×D4C22semidirect
300. C2×C4×C22⋊C4C22semidirect
320. D4×Q8D4semidirect
869. C22×Q8C2×D4semidirect
943. C4⋊Q8C2×D4semidirect
944. C4⋊Q8C2×D4semidirect
1006. C22⋊Q8C2×D4semidirect
1007. C22⋊Q8C2×D4semidirect
1062. C4×Q8C2×D4semidirect
1097. C4×D4#41semidirect
1824. D4#550semidirect

Maximal subgroups

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

subgroupindex
C2×#35142
C2×#35202
#598192
#598072
#596522
#594102
#590552
#590512
#590472
#590032
#451122
#448972
#439132
#430292
#393812
#393802
#391372
#391362
#391352
#391332
#365972
#365762
#362602
#362592
#361502
#361442
D4×#1212
#358212
#357612
#349342
C2×#24262
#343092
C4×D4×Q82
C4×#5462