Finite Group Databasebeta

← #7685542

Subgroups — #7685542

Order 512.

9153 conjugacy classes of subgroups.

The subgroup lattice has 2123 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3519C211yesmaximal, characteristic, complemented
2C2×#3496C211yesmaximal, characteristic, complemented
3#59812C212yesmaximal, complemented
4#59803C214yesmaximal, complemented
5#59412C211yesmaximal, characteristic, complemented
6#59318C212yesmaximal, complemented
7#59041C211yesmaximal, characteristic, complemented
8#59033C211yesmaximal, characteristic, complemented
9#59023C212yesmaximal, complemented
10#59013C212yesmaximal, complemented
11#45104C212yesmaximal, complemented
12#45002C212yesmaximal, complemented
13#43021C214yesmaximal, complemented
14#42997C214yesmaximal, complemented
15#39469C211yesmaximal, characteristic, complemented
16#39466C212yesmaximal, complemented
17#39436C212yesmaximal, complemented
18#39428C214yesmaximal, complemented
19#38908C211yesmaximal, characteristic, complemented
20#38904C212yesmaximal, complemented
21#36415C211yesmaximal, characteristic, complemented
22#36214C212yesmaximal, complemented
23#36214C212yesmaximal, complemented
24#36164C211yesmaximal, characteristic, complemented
25#36154C211yesmaximal, characteristic, complemented
26#36153C211yesmaximal, characteristic, complemented
27#36149C211yesmaximal, characteristic, complemented
28#36096C212yesmaximal, complemented
29#35791C212yesmaximal, complemented
30#35680C212yesmaximal, complemented
31#34889C211yesmaximal, characteristic, complemented
32C2×#2535C212yesmaximal, complemented
33#34256C212yesmaximal, complemented
34C4×D42C211yesmaximal, characteristic, complemented
35C4×D42C211yesmaximal, characteristic, complemented
36C22×H(5,𝔽2)C2212yes—
37#3519—216no—
38#3496—216no—
39C2×#555C2211yescharacteristic, complemented
40C2×#554C2211yescharacteristic, complemented
41C2×#553C2212yescomplemented
42C2×#553C2212yescomplemented
43C2×#550C2211yescharacteristic, complemented
44C2×#547C2211yescharacteristic
45C2×#547C2211yescharacteristic, complemented
46C2×#547C2212yescomplemented
47C2×#546C2212yes—
48C2×#546C2214yescomplemented
49C2×#546C2212yescomplemented
50C2×#546C2212yescomplemented
51C2×#546C2214yescomplemented
52C2×#546C2212yescomplemented
53C2×#546C2212yescomplemented
54C2×D42C2211yescharacteristic
55C2×D42C2211yescharacteristic
56C2×D42C2211yescharacteristic, complemented
57C2×D42C2212yescomplemented
58C2×D42C2212yescomplemented
59C2×#540C2212yescomplemented
60C2×#538C2214yescomplemented
61C2×#537C2212yescomplemented
62C2×#534C2214yescomplemented
63C2×#532C2211yescharacteristic, complemented
64C2×#532C2211yescharacteristic, complemented
65C2×#532C2211yescharacteristic, complemented
66C2×#529C2211yescharacteristic, complemented
67C2×#525C2212yescomplemented
68C22×#121C2212yescomplemented
69C22×#121C2212yescomplemented
70C22×#121C2212yescomplemented
71C2×#518C2212yescomplemented
72C22×C4×D4C2211yescharacteristic
73C22×C4×D4C2211yescharacteristic, complemented
74C22×C4×D4C2212yescomplemented
75C22×C4×D4C2212yescomplemented
76C22×C4×D4C2212yescomplemented
77#2862C2211yescharacteristic, complemented
78#2857C2211yescharacteristic, complemented
79#2857C2211yescharacteristic, complemented
80#2850C2212yescomplemented
81#2850C2212yescomplemented
82#2848C2212yescomplemented
83#2847C2212yescomplemented
84#2847C2214yescomplemented
85#2712C2214yescomplemented
86#2708C2214yescomplemented
87#2708C2214yescomplemented
88#2706C2214yescomplemented
89#2703C2214yescomplemented
90#2698C2214yescomplemented
91#2695C2214yescomplemented
92#2693C2214yescomplemented
93#2693C2214yescomplemented
94#2691C2214yescomplemented
95#2688C2214yescomplemented
96#2688C2214yescomplemented
97#2688C2214yescomplemented
98#2688C2214yescomplemented
99#2688C2214yescomplemented
100#2687C2214yescomplemented
101#2684C2214yescomplemented
102#2678C2214yescomplemented
103#2676C2214yescomplemented
104#2668C2214yescomplemented
105#2668C2214yescomplemented
106#2625C2212yescomplemented
107#2622C2214yescomplemented
108#2615C2212yescomplemented
109#2613C2214yescomplemented
110#2568C2211yescharacteristic, complemented
111#2563C2211yescharacteristic, complemented
112#2563C2211yescharacteristic, complemented
113#2559C2212yescomplemented
114#2557C2214yescomplemented
115#2557C2214yescomplemented
116#2557C2212yescomplemented
117#2553C2214yescomplemented
118#2550C2211yescharacteristic, complemented
119#2547C2211yescharacteristic, complemented
120#2544C2211yescharacteristic, complemented
121#2544C2212yescomplemented
122#2543C2214yescomplemented
123#2543C2214yescomplemented
124#2540C2211yescharacteristic, complemented
125#2538C2211yescharacteristic, complemented
126#2537C2211yescharacteristic, complemented
127#2535C2212yescomplemented
128#2535C2214yescomplemented
129#2535C2214yescomplemented
130#2535C2212yescomplemented
131#2535C2212yescomplemented
132#2535C2212yescomplemented
133#2535C2214yescomplemented
134#2535C2212yescomplemented
135#2535C2212yescomplemented
136#2535C2211yescharacteristic, complemented
137#2535C2212yescomplemented
138#2535C2212yescomplemented
139#2535C2214yescomplemented
140#2535C2212yescomplemented
141#2534C2214yescomplemented
142#2534C2214yescomplemented
143#2521C2212yescomplemented
144#2504C2212yescomplemented
145#2503C2212yescomplemented
146#2499C2212yescomplemented
147#2492C2211yescharacteristic, complemented
148#2490C2211yescharacteristic, complemented
149#2489C2212yescomplemented
150#2489C2212yescomplemented
151#2488C2214yescomplemented
152#2488C2214yescomplemented
153#2488C2214yescomplemented
154#2487C2212yescomplemented
155#2486C2212yescomplemented
156#2485C2212yescomplemented
157#2483C2214yescomplemented
158#2480C2214yescomplemented
159#2464C2214yescomplemented
160#2464C2212yescomplemented
161#2457C2214yescomplemented
162#2456C2214yescomplemented
163#2454C2212yescomplemented
164#2450C2214yescomplemented
165#2450C2214yescomplemented
166#2447C2212yescomplemented
167#2447C2212yescomplemented
168#2447C2212yescomplemented
169#2444C2214yescomplemented
170#2444C2214yescomplemented
171#2443C2214yescomplemented
172#2442C2212yescomplemented
173#2442C2212yescomplemented
174#2439C2212yescomplemented
175#2437C2214yescomplemented
176#2433C2212yescomplemented
177#2431C2212yescomplemented
178#2431C2212yescomplemented
179#2430C2214yescomplemented
180#2428C2212yescomplemented
181#2428C2212yescomplemented
182#2428C2211yescharacteristic, complemented
183#2427C2212yescomplemented
184#2427C2212yescomplemented
185#2427C2211yescharacteristic, complemented
186#2427C2212yescomplemented
187#2427C2212yescomplemented
188#2425C2214yescomplemented
189#2425C2214yescomplemented
190#2425C2214yescomplemented
191#2424C2214yescomplemented
192#2424C2214yescomplemented
193#2424C2214yescomplemented
194#2422C2212yescomplemented
195#2420C2212yescomplemented
196#2420C2212yescomplemented
197#2420C2212yescomplemented
198#2420C2212yescomplemented
199#2420C2212yescomplemented
200#2419C2214yescomplemented
201#2419C2214yescomplemented
202#2418C2214yescomplemented
203#2417C2212yescomplemented
204#2417C2212yescomplemented
205#2417C2212yescomplemented
206#2417C2212yescomplemented
207#2416C2212yescomplemented
208#2416C2212yescomplemented
209#2414C2212yescomplemented
210#2412C2214yescomplemented
211#2412C2214yescomplemented
212#2412C2214yescomplemented
213#2412C2214yescomplemented
214#2410C2214yescomplemented
215#2410C2214yescomplemented
216#2410C2214yescomplemented
217#2408C2212yescomplemented
218#2408C2212yescomplemented
219#2408C2212yescomplemented
220#2407C2212yescomplemented
221#2407C2212yescomplemented
222#2407C2212yescomplemented
223#2407C2212yescomplemented
224#2407C2212yescomplemented
225#2404C2214yescomplemented
226#2404C2214yescomplemented
227#2403C2214yescomplemented
228#2403C2214yescomplemented
229#2395C2212yescomplemented
230C2×#397C2214yescomplemented
231#2388C2212yescomplemented
232C2×#392C2214yescomplemented
233#2366C2211yescharacteristic, complemented
234#2366C2211yescharacteristic, complemented
235#2361C2211yescharacteristic, complemented
236#2361C2212yescomplemented
237#2361C2212yescomplemented
238#2361C2212yescomplemented
239#2361C2211yescharacteristic, complemented
240#2358C2214yescomplemented
241#2358C2212yescomplemented
242#2358C2214yescomplemented
243#2358C2212yescomplemented
244#2352C2212yescomplemented
245#2352C2212yescomplemented
246#2349C2212yescomplemented
247#2349C2212yescomplemented
248D4×C4⋊C4C2211yescharacteristic, complemented
249D4×C4⋊C4C2211yescharacteristic, complemented
250D4×C4⋊C4C2211yescharacteristic, complemented
251D4×C4⋊C4C2211yescharacteristic, complemented
252#2339C2212yescomplemented
253#2339C2214yescomplemented
254#2339C2212yescomplemented
255#2339C2212yescomplemented
256#2339C2212yescomplemented
257#2339C2212yescomplemented
258#2339C2212yescomplemented
259#2339C2212yescomplemented
260#2339C2214yescomplemented
261D4×C22⋊C4C2212yes—
262D4×C22⋊C4C2211yescharacteristic
263D4×C22⋊C4C2214yescomplemented
264D4×C22⋊C4C2212yescomplemented
265D4×C22⋊C4C2212yescomplemented
266D4×C22⋊C4C2212yescomplemented
267D4×C22⋊C4C2211yescharacteristic, complemented
268D4×C22⋊C4C2212yescomplemented
269D4×C22⋊C4C2212yescomplemented
270D4×C22⋊C4C2214yescomplemented
271D4×C22⋊C4C2212yescomplemented
272#2311C2212yescomplemented
273#2311C2212yescomplemented
274#2308C2214yescomplemented
275#2308C2214yescomplemented
276C4×#127C2211yescharacteristic, complemented
277C4×#127C2211yescharacteristic, complemented
278C4×#124C2211yescharacteristic, complemented
279C4×C22⋊Q8C2211yescharacteristic, complemented
280C4×#121C2212yescomplemented
281C4×#121C2212yescomplemented
282C4×#121C2211yescharacteristic, complemented
283C4×#121C2211yescharacteristic, complemented
284C4×#121C2212yescomplemented
285C4×#121C2212yescomplemented
286C4×#121C2211yescharacteristic, complemented
287C4×#120C2214yescomplemented
288C4×#120C2212yescomplemented
289C4×#120C2212yescomplemented
290#2297C2212yescomplemented
291#2297C2212yescomplemented
292C2×#386C2214yescomplemented
293C2×#386C2214yescomplemented
294C2×#386C2214yescomplemented
295C2×#382C2212yescomplemented
296C2×#380C2212yescomplemented
297C2×#380C2212yescomplemented
298C42×D4C2211yescharacteristic, complemented
299C42×D4C2211yescharacteristic, complemented
300C42×D4C2211yescharacteristic, complemented
301C2×H(5,𝔽2)—216no—
302C2×H(5,𝔽2)—216no—
303C2×H(5,𝔽2)—48no—
304C22×#41C2312yes—
305C22×#41C2312yes—
306C22×#41C2312yes—
307C22×#41C2314yes—
308C22×#41C2312yes—
309C22×#41C2312yes—
310C22×#41C2312yes—
311C23×D4C2311yescharacteristic
312C23×D4C2314yes—
313C23×D4C2314yes—
314C23×D4C2314yes—
315C23×D4C2312yes—
316C23×D4C2312yes—
317C23×D4C2311yescharacteristic
318C23×D4C2312yes—
319C23×D4C2312yes—
320C23×D4C2314yes—
321C23×D4C2312yes—
322C24×C4C2312yes—
323C24×C4C2312yes—
324C24×C4C2314yes—
325#555—28no—
326#554—28no—
327#553—216no—
328#553—216no—
329#550—28no—
330#547—216no—
331#547—28no—
332#547—28no—
333#546—216no—
334#546—216no—
335#546—216no—
336#546—232no—
337#546—232no—
338#546—48no—
339#546—48no—
340D42—216no—
341D42—216no—
342D42—28no—
343D42—28no—
344D42D4116yescomplemented
345#540—216no—
346#538—232no—
347#537—216no—
348#534—232no—
349#532—28no—
350#532—28no—
351#532—28no—
352C2×C4⋊Q8C2311yescharacteristic
353C2×C4⋊Q8C2311yescharacteristic
354C2×C4⋊Q8C2311yescharacteristic
355C2×#127C2311yescharacteristic
356C2×#127C2311yescharacteristic
357C2×#127C2312yes—
358C2×#127C2311yescharacteristic
359#529—28no—
360C2×#126C2312yes—
361C2×#126C2314yes—
362C2×#125C2311yescharacteristic
363C2×#125C2312yes—
364C2×#124C2311yescharacteristic
365C2×#124C2311yescharacteristic
366C2×#124C2312yes—
367C2×#124C2312yes—
368C2×#124C2312yes—
369C2×#124C2314yes—
370C2×#124C2312yes—
371#525—216no—
372C2×#123C2314yes—
373C2×#123C2314yes—
374C2×#123C2314yes—
375C2×#123C2312yes—
376C2×#123C2314yes—
377C2×#123C2314yes—
378C2×#123C2314yes—
379C2×#123C2314yes—
380C2×#123C2314yes—
381C2×#123C2314yes—
382C2×C22⋊Q8C2312yes—
383C2×C22⋊Q8C2312yes—
384C2×C22⋊Q8C2311yescharacteristic
385C2×C22⋊Q8C2312yes—
386C2×C22⋊Q8C2314yes—
387C2×C22⋊Q8C2314yes—
388C2×C22⋊Q8C2311yescharacteristic
389C2×C22⋊Q8C2312yes—
390C2×C22⋊Q8C2312yes—
391C2×C22⋊Q8C2312yes—
392C2×#121—216no—
393C2×#121—216no—
394C2×#121—216no—
395C2×#121C2312yes—
396C2×#121C2312yes—
397C2×#121C2311yescharacteristic
398C2×#121C2311yescharacteristic
399C2×#121C2312yes—
400C2×#121C2312yes—
401C2×#121C2312yes—
402C2×#121C2312yes—
403C2×#121C2312yes—
404C2×#121C2312yes—
405C2×#121C2312yes—
406C2×#121C2311yescharacteristic
407C2×#121C2311yescharacteristic
408C2×#121C2311yescharacteristic
409C2×#121C2314yes—
410C2×#121C2314yes—
411C2×#121C2314yes—
412C2×#121C2314yes—
413C2×#121C2314yes—
414C2×#121C2312yes—
415C2×#121C2312yes—
416C2×#121C2314yes—
417C2×#121C2314yes—
418C2×#121C2312yes—
419C2×#121C2312yes—
420C2×#121C2314yes—
421C2×#121C2314yes—
422C2×#121C2314yes—
423C2×#121C2311yescharacteristic
424C2×#121C2312yes—
425C2×#121C2314yes—
426C2×#121C2314yes—
427C2×#121C2312yes—
428C2×#121C2312yes—
429C2×#121C2314yes—
430C2×#121C2312yes—
431C2×#121C2312yes—
432C2×#120C2314yes—
433C2×#120C2314yes—
434C2×#120C2312yes—
435C2×#120C2312yes—
436C2×#120C2314yes—
437C2×#120C2314yes—
438C2×#120C2314yes—
439C2×#120C2314yes—
440C2×#120C2314yes—
441C2×#120C2314yes—
442C2×#120C2314yes—
443C2×#120C2314yes—
444#518—216no—
445C2×C4×Q8C2311yescharacteristic
446C2×C4×D4—28no—
447C2×C4×D4—28no—
448C2×C4×D4—48no—
449C2×C4×D4—48no—
450C2×C4×D4—48no—
451C2×C4×D4C2311yescharacteristic
452C2×C4×D4C2312yes—
453C2×C4×D4C2312yes—
454C2×C4×D4C2311yescharacteristic
455C2×C4×D4C2311yescharacteristic
456C2×C4×D4C2311yescharacteristic
457C2×C4×D4C2312yes—
458C2×C4×D4C2311yescharacteristic
459C2×C4×D4C2312yes—
460C2×C4×D4C2311yescharacteristic
461C2×C4×D4C2314yes—
462C2×C4×D4C2312yes—
463C2×C4×D4C2314yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2311yescharacteristic
466C2×C4×D4C2312yes—
467C2×C4×D4C2312yes—
468C2×C4×D4C2312yes—
469C2×C4×D4C2311yescharacteristic
470C2×C4×D4C2312yes—
471C2×C4×D4C2312yes—
472C2×C4×D4C2314yes—
473C2×C4×D4C2311yescharacteristic
474C2×C4×D4C2311yescharacteristic
475C2×C4×D4C2312yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2312yes—
478C2×C4×D4C2311yescharacteristic
479C2×C4×D4C2311yescharacteristic
480C2×C4×D4C2312yes—
481C2×C4×D4C2312yes—
482C2×C4×D4C2312yes—
483C2×C4×D4C2311yescharacteristic
484C2×C4×D4C2311yescharacteristic
485C2×C4×D4C2314yes—
486C2×C4×D4C2312yes—
487C2×C4×D4C2312yes—
488C2×C4×D4C2314yes—
489C2×C4×D4C2312yes—
490C2×C4×D4C2312yes—
491C2×C4×D4C2312yes—
492C2×C4×D4C2314yes—
493C2×C4×D4C2312yes—
494C2×C4×D4C2312yes—
495C2×C4×D4C2312yes—
496C2×C4×D4C2312yes—
497C2×C4×D4C2312yes—
498C2×C4×D4C2314yes—
499C2×C4×D4C2312yes—
500C2×C4×D4C2311yescharacteristic
501C2×C4×D4C2311yescharacteristic
502C2×#117C2312yes—
503C2×#117C2312yes—
504C2×#117C2312yes—
505C22×C4⋊C4C2311yescharacteristic
506C22×C4⋊C4C2311yescharacteristic
507C22×C4⋊C4C2312yes—
508C22×C4⋊C4C2312yes—
509C22×C4⋊C4C2312yes—
510C22×C4⋊C4C2312yes—
511C22×C4⋊C4C2312yes—
512C22×C4⋊C4C2312yes—
513C22×C22⋊C4C2314yes—
514C22×C22⋊C4C2314yes—
515C22×C22⋊C4C2312yes—
516C22×C22⋊C4C2312yes—
517C22×C22⋊C4C2314yes—
518C22×C22⋊C4C2314yes—
519C22×C22⋊C4C2314yes—
520C22×C22⋊C4C2312yes—
521C22×C22⋊C4C2314yes—
522C22×C22⋊C4C2314yes—
523C22×C22⋊C4C2312yes—
524C22×C22⋊C4C2314yes—
525C22×C22⋊C4C2314yes—
526C22×C22⋊C4C2314yes—
527C22×C42C2312yes—
528C22×C42C2311yescharacteristic
529C22×C42C2311yescharacteristic
530C22×C42C2312yes—
531#400C2314yes—
532#400C2314yes—
533#400C2312yes—
534#400C2314yes—
535#400C2314yes—
536#400C2314yes—
537#399C2312yes—
538#399C2314yes—
539#398C2314yes—
540#398C2312yes—
541#398C2314yes—
542#398C2314yes—
543#398C2314yes—
544#397C2314yes—
545#397C2314yes—
546#397C2314yes—
547#397C2314yes—
548#397C2314yes—
549#397C2312yes—
550#397C2314yes—
551#397C2314yes—
552#397C2314yes—
553#397C2314yes—
554#397C2314yes—
555#397C2314yes—
556#397C2312yes—
557#397C2312yes—
558#397C2314yes—
559#397C2314yes—
560#397C2314yes—
561#397C2314yes—
562#397C2314yes—
563#397C2314yes—
564#396C2314yes—
565#396C2314yes—
566#396C2314yes—
567#396C2314yes—
568#396C2314yes—
569#395C2312yes—
570#394C2312yes—
571#394C2314yes—
572#394C2314yes—
573#394C2314yes—
574#394C2312yes—
575#394C2314yes—
576#394C2314yes—
577#394C2314yes—
578#394C2312yes—
579#394C2312yes—
580#394C2312yes—
581#394C2314yes—
582#394C2314yes—
583#394C2314yes—
584#394C2314yes—
585#394C2314yes—
586#394C2314yes—
587#394C2314yes—
588#393C2314yes—
589#393C2314yes—
590#393C2314yes—
591#393C2312yes—
592#392C2314yes—
593#392C2314yes—
594#392C2314yes—
595#392C2314yes—
596#392C2314yes—
597#392C2314yes—
598#392C2312yes—
599#392C2314yes—
600#392C2314yes—
601#392C2314yes—
602#392C2314yes—
603#392C2314yes—
604#392C2314yes—
605#392C2312yes—
606#392C2312yes—
607#392C2314yes—
608#392C2314yes—
609#391C2312yes—
610#391C2312yes—
611#391C2314yes—
612#391C2312yes—
613#391C2312yes—
614#391C2312yes—
615#391C2311yescharacteristic
616#391C2312yes—
617#391C2312yes—
618#391C2312yes—
619#391C2312yes—
620#391C2312yes—
621#391C2312yes—
622#391C2312yes—
623#391C2311yescharacteristic
624#390C2311yescharacteristic
625#390C2311yescharacteristic
626#390C2312yes—
627#390C2312yes—
628#390C2312yes—
629#390C2312yes—
630#390C2312yes—
631#390C2312yes—
632#390C2312yes—
633#390C2311yescharacteristic
634#390C2312yes—
635#390C2314yes—
636#390C2311yescharacteristic
637#390C2312yes—
638#390C2312yes—
639#390C2312yes—
640#390C2312yes—
641#390C2311yescharacteristic
642#390C2312yes—
643#390C2312yes—
644#390C2311yescharacteristic
645#389C2312yes—
646#389C2312yes—
647#389C2312yes—
648#389C2312yes—
649#389C2311yescharacteristic
650#389C2312yes—
651#389C2312yes—
652#389C2312yes—
653#389C2311yescharacteristic
654#389C2312yes—
655#389C2311yescharacteristic
656#389C2311yescharacteristic
657#389C2312yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2312yes—
664#388C2314yes—
665#388C2312yes—
666#388C2312yes—
667#388C2312yes—
668#388C2314yes—
669#388C2312yes—
670#388C2312yes—
671#388C2312yes—
672#388C2312yes—
673#388C2312yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2312yes—
678#386C2312yes—
679#386C2314yes—
680#386C2312yes—
681#386C2312yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2312yes—
694#386C2312yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2312yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2312yes—
710#386C2314yes—
711#386C2312yes—
712#386C2314yes—
713#386C2312yes—
714#386C2312yes—
715#386C2314yes—
716#386C2312yes—
717#386C2314yes—
718#386C2314yes—
719#386C2314yes—
720#386C2314yes—
721#386C2314yes—
722#386C2314yes—
723#386C2314yes—
724#386C2314yes—
725#386C2314yes—
726#386C2314yes—
727#386C2312yes—
728#386C2312yes—
729#386C2314yes—
730#386C2314yes—
731#386C2312yes—
732#386C2314yes—
733#386C2314yes—
734#386C2314yes—
735#386C2314yes—
736#386C2314yes—
737#386C2314yes—
738#386C2312yes—
739#386C2312yes—
740#386C2312yes—
741#385C2314yes—
742#385C2314yes—
743#385C2314yes—
744#385C2312yes—
745#385C2314yes—
746#385C2314yes—
747#385C2312yes—
748#385C2312yes—
749#385C2312yes—
750#385C2314yes—
751#385C2314yes—
752#385C2314yes—
753#385C2314yes—
754#385C2314yes—
755#385C2312yes—
756#385C2312yes—
757#385C2314yes—
758#385C2314yes—
759#385C2312yes—
760#384C2311yescharacteristic
761#384C2311yescharacteristic
762#382C2312yes—
763#382C2312yes—
764#382C2312yes—
765#382C2312yes—
766#382C2312yes—
767#382C2314yes—
768#382C2314yes—
769#382C2311yescharacteristic
770#381C2314yes—
771#381C2314yes—
772#381C2314yes—
773#381C2314yes—
774#381C2314yes—
775#381C2314yes—
776#381C2314yes—
777#381C2314yes—
778#380C2312yes—
779#380C2312yes—
780#380C2312yes—
781#380C2312yes—
782#380C2311yescharacteristic
783#380C2312yes—
784#380C2314yes—
785#380C2314yes—
786#380C2312yes—
787#380C2312yes—
788#380C2312yes—
789#380C2314yes—
790#380C2314yes—
791#380C2312yes—
792#380C2314yes—
793#380C2312yes—
794#380C2312yes—
795#380C2312yes—
796#380C2311yescharacteristic
797#380C2312yes—
798#380C2312yes—
799#380C2312yes—
800#380C2312yes—
801#380C2312yes—
802#380C2314yes—
803#380C2314yes—
804#380C2314yes—
805#380C2314yes—
806#380C2311yescharacteristic
807#380C2311yescharacteristic
808#379C2312yes—
809#379C2314yes—
810#379C2314yes—
811#379C2314yes—
812#379C2314yes—
813#379C2312yes—
814#379C2314yes—
815C4×C4⋊C4C2311yescharacteristic
816C4×C4⋊C4C2311yescharacteristic
817C4×C4⋊C4C2311yescharacteristic
818C4×C4⋊C4C2311yescharacteristic
819C4×C4⋊C4C2311yescharacteristic
820C4×C4⋊C4C2312yes—
821C4×C4⋊C4C2311yescharacteristic
822C4×C4⋊C4C2311yescharacteristic
823C4×C4⋊C4C2311yescharacteristic
824C4×C4⋊C4C2311yescharacteristic
825C4×C22⋊C4C2311yescharacteristic
826C4×C22⋊C4C2312yes—
827C4×C22⋊C4C2314yes—
828C4×C22⋊C4C2314yes—
829C4×C22⋊C4C2312yes—
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2312yes—
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2311yescharacteristic
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2311yescharacteristic
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2311yescharacteristic
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2312yes—
842C4×C22⋊C4C2314yes—
843C4×C22⋊C4C2311yescharacteristic
844C4×C22⋊C4C2311yescharacteristic
845C4×C22⋊C4C2312yes—
846C2×#95C2314yes—
847C2×#95C2314yes—
848C2×#95C2314yes—
849C2×#95C2314yes—
850C2×#95C2314yes—
851C2×#95C2314yes—
852C43C2311yescharacteristic
853C25C2412yes—
854C25C2414yes—
855C25C2414yes—
856C25C2412yes—
857H(5,𝔽2)—4128no—
858C2×#41—28no—
859C2×#41—28no—
860C2×#41—216no—
861C2×#41—28no—
862C2×#41—28no—
863C2×#41—28no—
864C2×#41—216no—
865C2×#41—28no—
866C2×#41—28no—
867C2×#41—28no—
868C2×#41—28no—
869C2×#41—28no—
870C2×#41—28no—
871C2×#41—44no—
872C2×#41—48no—
873C2×#41—44no—
874C2×#41—44no—
875C2×#41—44no—
876C2×#41—44no—
877C2×#41—44no—
878C2×#41—82no—
879C22×Q8C2411yescharacteristic
880C22×Q8C2412yes—
881C22×Q8C2412yes—
882C22×Q8C2412yes—
883C22×D4—24no—
884C22×D4—28no—
885C22×D4—28no—
886C22×D4—24no—
887C22×D4—216no—
888C22×D4—216no—
889C22×D4—28no—
890C22×D4—216no—
891C22×D4—216no—
892C22×D4—216no—
893C22×D4—24no—
894C22×D4—216no—
895C22×D4—28no—
896C22×D4—24no—
897C22×D4—28no—
898C22×D4—216no—
899C22×D4—24no—
900C22×D4—28no—
901C22×D4—44no—
902C22×D4—44no—
903C22×D4—44no—
904C22×D4—44no—
905C22×D4—44no—
906C22×D4—44no—
907C22×D4—48no—
908C22×D4—44no—
909C22×D4—48no—
910C22×D4—48no—
911C22×D4—48no—
912C22×D4—84no—
913C22×D4C2×D4116yes—
914C22×D4C2×D4116yescomplemented
915C22×D4#4118yescomplemented
916C22×D4C2411yescharacteristic
917C22×D4C2412yes—
918C22×D4C2411yescharacteristic
919C22×D4C2411yescharacteristic
920C22×D4C2414yes—
921C22×D4C2412yes—
922C22×D4C2412yes—
923C22×D4C2414yes—
924C22×D4C2412yes—
925C22×D4C2414yes—
926C22×D4C2414yes—
927C22×D4C2414yes—
928C22×D4C2412yes—
929C22×D4C2412yes—
930C22×D4C2412yes—
931C22×D4C2411yescharacteristic
932C22×D4C2414yes—
933C22×D4C2412yes—
934C22×D4C2412yes—
935C22×D4C2412yes—
936C22×D4C2411yescharacteristic
937C22×D4C2412yes—
938C22×D4C2412yes—
939C22×D4C2412yes—
940C22×D4C2412yes—
941C22×D4C2414yes—
942C22×D4C2414yes—
943C22×D4C2414yes—
944C22×D4C2414yes—
945C22×D4C2414yes—
946C22×D4C2412yes—
947C22×D4C2414yes—
948C22×D4C2411yescharacteristic
949C23×C4—28no—
950C23×C4—28no—
951C23×C4—44no—
952C23×C4—44no—
953C23×C4—48no—
954C23×C4—44no—
955C23×C4—44no—
956C23×C4—48no—
957C23×C4—84no—
958C23×C4C2414yes—
959C23×C4C2411yescharacteristic
960C23×C4C2412yes—
961C23×C4C2412yes—
962C23×C4C2411yescharacteristic
963C23×C4C2411yescharacteristic
964C23×C4C2412yes—
965C23×C4C2412yes—
966C23×C4C2412yes—
967C23×C4C2411yescharacteristic
968C23×C4C2414yes—
969C23×C4C2414yes—
970C23×C4C2412yes—
971C23×C4C2412yes—
972C23×C4C2411yescharacteristic
973C23×C4C2412yes—
974C23×C4C2412yes—
975C23×C4C2414yes—
976C23×C4C2414yes—
977C23×C4C2412yes—
978C23×C4C2414yes—
979C23×C4C2414yes—
980C23×C4C2411yescharacteristic
981C23×C4C2412yes—
982C23×C4C2412yes—
983C23×C4C2414yes—
984C23×C4C2412yes—
985C23×C4C2412yes—
986C23×C4C2412yes—
987C23×C4C2414yes—
988C23×C4C2414yes—
989C4⋊Q8—24no—
990C4⋊Q8—24no—
991C4⋊Q8—24no—
992#127—24no—
993#127—28no—
994#127—24no—
995#127C2×D418yescomplemented
996#126—28no—
997#126—216no—
998#125—24no—
999#125—28no—
1000#124—24no—
1001#124—28no—
1002#124—28no—
1003#124—28no—
1004#124—216no—
1005#124—24no—
1006#124—44no—
1007#123—216no—
1008#123—216no—
1009#123—216no—
1010#123—28no—
1011#123—216no—
1012#123—216no—
1013#123—216no—
1014#123—216no—
1015#123—48no—
1016#123—48no—
1017C22⋊Q8—28no—
1018C22⋊Q8—28no—
1019C22⋊Q8—24no—
1020C22⋊Q8—28no—
1021C22⋊Q8—216no—
1022C22⋊Q8—216no—
1023C22⋊Q8—42no—
1024C22⋊Q8—44no—
1025C22⋊Q8—44no—
1026C22⋊Q8—82no—
1027#121—24no—
1028#121—28no—
1029#121—24no—
1030#121—28no—
1031#121—216no—
1032#121—216no—
1033#121—28no—
1034#121—28no—
1035#121—216no—
1036#121—216no—
1037#121—216no—
1038#121—28no—
1039#121—28no—
1040#121—28no—
1041#121—28no—
1042#121—28no—
1043#121—216no—
1044#121—216no—
1045#121—216no—
1046#121—216no—
1047#121—24no—
1048#121—28no—
1049#121—28no—
1050#121—28no—
1051#121—24no—
1052#121—24no—
1053#121—216no—
1054#121—28no—
1055#121—48no—
1056#121—44no—
1057#121—42no—
1058#121—44no—
1059#121—44no—
1060#121—48no—
1061#121—84no—
1062#121C2×D4116yescomplemented
1063#121C2×D4116yescomplemented
1064#120—216no—
1065#120—216no—
1066#120—28no—
1067#120—216no—
1068#120—216no—
1069#120—216no—
1070#120—28no—
1071#120—48no—
1072#120—48no—
1073#120—48no—
1074#120—84no—
1075#120C2×D4132yescomplemented
1076C4×Q8—24no—
1077C4×D4—24no—
1078C4×D4—24no—
1079C4×D4—216no—
1080C4×D4—28no—
1081C4×D4—28no—
1082C4×D4—216no—
1083C4×D4—28no—
1084C4×D4—28no—
1085C4×D4—28no—
1086C4×D4—28no—
1087C4×D4—24no—
1088C4×D4—24no—
1089C4×D4—28no—
1090C4×D4—28no—
1091C4×D4—28no—
1092C4×D4—28no—
1093C4×D4—28no—
1094C4×D4—24no—
1095C4×D4—24no—
1096C4×D4—24no—
1097C4×D4—28no—
1098C4×D4—28no—
1099C4×D4—216no—
1100C4×D4—24no—
1101C4×D4—24no—
1102C4×D4—24no—
1103C4×D4—24no—
1104C4×D4—24no—
1105C4×D4—28no—
1106C4×D4—28no—
1107C4×D4—44no—
1108C4×D4—48no—
1109C4×D4—44no—
1110C4×D4—44no—
1111C4×D4—44no—
1112C4×D4—44no—
1113C4×D4—44no—
1114C4×D4—44no—
1115C4×D4—44no—
1116C4×D4—42no—
1117C4×D4—44no—
1118C4×D4—44no—
1119C4×D4—48no—
1120C4×D4—44no—
1121C4×D4—44no—
1122C4×D4—48no—
1123C4×D4—48no—
1124C4×D4—42no—
1125C4×D4—82no—
1126C4×D4C2×D418yes—
1127C4×D4C2×D418yescomplemented
1128#117—28no—
1129#117—28no—
1130#117—28no—
1131C2×C4⋊C4—28no—
1132C2×C4⋊C4—28no—
1133C2×C4⋊C4—24no—
1134C2×C4⋊C4—24no—
1135C2×C4⋊C4—28no—
1136C2×C4⋊C4—44no—
1137C2×C4⋊C4—44no—
1138C2×C4⋊C4—44no—
1139C2×C4⋊C4C2411yescharacteristic
1140C2×C4⋊C4C2411yescharacteristic
1141C2×C4⋊C4C2411yescharacteristic
1142C2×C4⋊C4C2412yes—
1143C2×C4⋊C4C2411yescharacteristic
1144C2×C4⋊C4C2411yescharacteristic
1145C2×C4⋊C4C2411yescharacteristic
1146C2×C4⋊C4C2412yes—
1147C2×C4⋊C4C2411yescharacteristic
1148C2×C4⋊C4C2412yes—
1149C2×C4⋊C4C2412yes—
1150C2×C4⋊C4C2412yes—
1151C2×C4⋊C4C2412yes—
1152C2×C4⋊C4C2412yes—
1153C2×C4⋊C4C2414yes—
1154C2×C4⋊C4C2414yes—
1155C2×C4⋊C4C2414yes—
1156C2×C4⋊C4C2412yes—
1157C2×C4⋊C4C2412yes—
1158C2×C4⋊C4C2412yes—
1159C2×C4⋊C4C2412yes—
1160C2×C4⋊C4C2411yescharacteristic
1161C2×C4⋊C4C2411yescharacteristic
1162C2×C4⋊C4C2414yes—
1163C2×C4⋊C4C2411yescharacteristic
1164C2×C4⋊C4C2412yes—
1165C2×C4⋊C4C2412yes—
1166C2×C4⋊C4C2412yes—
1167C2×C4⋊C4C2414yes—
1168C2×C4⋊C4C2414yes—
1169C2×C4⋊C4C2412yes—
1170C2×C4⋊C4C2412yes—
1171C2×C4⋊C4C2412yes—
1172C2×C4⋊C4C2412yes—
1173C2×C4⋊C4C2411yescharacteristic
1174C2×C4⋊C4C2412yes—
1175C2×C4⋊C4C2414yes—
1176C2×C4⋊C4C2414yes—
1177C2×C4⋊C4C2414yes—
1178C2×C4⋊C4C2412yes—
1179C2×C4⋊C4C2412yes—
1180C2×C4⋊C4C2411yescharacteristic
1181C2×C4⋊C4C2411yescharacteristic
1182C2×C22⋊C4—216no—
1183C2×C22⋊C4—216no—
1184C2×C22⋊C4—216no—
1185C2×C22⋊C4—28no—
1186C2×C22⋊C4—28no—
1187C2×C22⋊C4—216no—
1188C2×C22⋊C4—44no—
1189C2×C22⋊C4—48no—
1190C2×C22⋊C4—44no—
1191C2×C22⋊C4—48no—
1192C2×C22⋊C4—48no—
1193C2×C22⋊C4—48no—
1194C2×C22⋊C4—84no—
1195C2×C22⋊C4—84no—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2414yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2411yescharacteristic
1203C2×C22⋊C4C2411yescharacteristic
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2412yes—
1206C2×C22⋊C4C2414yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2414yes—
1210C2×C22⋊C4C2412yes—
1211C2×C22⋊C4C2412yes—
1212C2×C22⋊C4C2412yes—
1213C2×C22⋊C4C2414yes—
1214C2×C22⋊C4C2414yes—
1215C2×C22⋊C4C2414yes—
1216C2×C22⋊C4C2412yes—
1217C2×C22⋊C4C2414yes—
1218C2×C22⋊C4C2412yes—
1219C2×C22⋊C4C2412yes—
1220C2×C22⋊C4C2414yes—
1221C2×C22⋊C4C2414yes—
1222C2×C22⋊C4C2414yes—
1223C2×C22⋊C4C2414yes—
1224C2×C22⋊C4C2412yes—
1225C2×C22⋊C4C2414yes—
1226C2×C22⋊C4C2412yes—
1227C2×C22⋊C4C2412yes—
1228C2×C22⋊C4C2412yes—
1229C2×C22⋊C4C2411yescharacteristic
1230C2×C22⋊C4C2411yescharacteristic
1231C2×C22⋊C4C2414yes—
1232C2×C22⋊C4C2411yescharacteristic
1233C2×C22⋊C4C2412yes—
1234C2×C22⋊C4C2412yes—
1235C2×C22⋊C4C2412yes—
1236C2×C22⋊C4C2412yes—
1237C2×C22⋊C4C2412yes—
1238C2×C22⋊C4C2414yes—
1239C2×C22⋊C4C2412yes—
1240C2×C22⋊C4C2412yes—
1241C2×C22⋊C4C2412yes—
1242C2×C22⋊C4C2412yes—
1243C2×C22⋊C4C2412yes—
1244C2×C22⋊C4C2414yes—
1245C2×C22⋊C4C2414yes—
1246C2×C22⋊C4C2414yes—
1247C2×C22⋊C4C2414yes—
1248C2×C22⋊C4C2412yes—
1249C2×C22⋊C4C2414yes—
1250C2×C22⋊C4C2414yes—
1251C2×C22⋊C4C2414yes—
1252C2×C22⋊C4C2414yes—
1253C2×C22⋊C4C2414yes—
1254C2×C22⋊C4C2414yes—
1255C2×C22⋊C4C2414yes—
1256C2×C22⋊C4C2414yes—
1257C2×C22⋊C4C2414yes—
1258C2×C22⋊C4C2412yes—
1259C2×C22⋊C4C2412yes—
1260C2×C22⋊C4C2411yescharacteristic
1261C2×C22⋊C4C2412yes—
1262C2×C22⋊C4C2412yes—
1263C2×C22⋊C4C2412yes—
1264C2×C22⋊C4C2414yes—
1265C2×C22⋊C4C2414yes—
1266C2×C22⋊C4C2414yes—
1267C2×C22⋊C4C2414yes—
1268C2×C22⋊C4C2412yes—
1269C2×C22⋊C4C2412yes—
1270C2×C22⋊C4C2412yes—
1271C2×C22⋊C4C2412yes—
1272C2×C22⋊C4C2412yes—
1273C2×C22⋊C4C2414yes—
1274C2×C22⋊C4C2412yes—
1275C2×C42—24no—
1276C2×C42—24no—
1277C2×C42—28no—
1278C2×C42—44no—
1279C2×C42C2411yescharacteristic
1280C2×C42C2414yes—
1281C2×C42C2412yes—
1282C2×C42C2411yescharacteristic
1283C2×C42C2411yescharacteristic
1284C2×C42C2411yescharacteristic
1285C2×C42C2411yescharacteristic
1286C2×C42C2412yes—
1287C2×C42C2412yes—
1288C2×C42C2412yes—
1289C2×C42C2412yes—
1290C2×C42C2411yescharacteristic
1291C2×C42C2411yescharacteristic
1292C2×C42C2411yescharacteristic
1293C2×C42C2411yescharacteristic
1294C2×C42C2411yescharacteristic
1295C2×C42C2412yes—
1296C2×C42C2412yes—
1297C2×C42C2411yescharacteristic
1298C2×C42C2411yescharacteristic
1299C2×C42C2411yescharacteristic
1300#95C2411yescharacteristic
1301#95C2412yes—
1302#95C2414yes—
1303#95C2412yes—
1304#95C2414yes—
1305#95C2412yes—
1306#95C2412yes—
1307#95C2412yes—
1308#95C2412yes—
1309#95C2414yes—
1310#95C2414yes—
1311#95C2414yes—
1312#95C2414yes—
1313#95C2414yes—
1314#95C2414yes—
1315#95C2414yes—
1316#95C2414yes—
1317#95C2414yes—
1318#95C2414yes—
1319#95C2414yes—
1320#95C2414yes—
1321#95C2414yes—
1322#95C2411yescharacteristic
1323#95C2411yescharacteristic
1324#95C2411yescharacteristic
1325#95C2411yescharacteristic
1326#95C2412yes—
1327#95C2412yes—
1328#95C2412yes—
1329#95C2412yes—
1330#95C2412yes—
1331#95C2411yescharacteristic
1332#95C2412yes—
1333#95C2412yes—
1334#95C2414yes—
1335#95C2412yes—
1336#95C2412yes—
1337#95C2412yes—
1338#95C2414yes—
1339#95C2414yes—
1340#95C2412yes—
1341#95C2414yes—
1342#95C2412yes—
1343#95C2412yes—
1344#95C2412yes—
1345#95C2414yes—
1346#95C2414yes—
1347#95C2414yes—
1348C24—24no—
1349C24—28no—
1350C24—28no—
1351C24—24no—
1352C24—24no—
1353C24—24no—
1354C24—24no—
1355C24—24no—
1356C24—28no—
1357C24—28no—
1358C24—42no—
1359C24—44no—
1360C24—42no—
1361C24—42no—
1362C24—42no—
1363C24—42no—
1364C24—44no—
1365C24—44no—
1366C24—42no—
1367C24—44no—
1368C24—42no—
1369C24—44no—
1370C24—44no—
1371C24—44no—
1372C24—44no—
1373C24—44no—
1374C24C22×D4116yes—
1375C24C2×#4118yes—
1376C24C2512yes—
1377C24C2512yes—
1378C24C2512yes—
1379C24C2514yes—
1380C24C2512yes—
1381C24C2511yescharacteristic
1382C24C2511yescharacteristic
1383C24C2512yes—
1384#41—432no—
1385#41—432no—
1386#41—432no—
1387#41—464no—
1388#41—432no—
1389#41—816no—
1390#41—816no—
1391C2×Q8—22no—
1392C2×Q8—24no—
1393C2×Q8—24no—
1394C2×Q8—24no—
1395C2×Q8—24no—
1396C2×Q8—24no—
1397C2×Q8—22no—
1398C2×Q8—24no—
1399C2×Q8—22no—
1400C2×Q8—42no—
1401C2×Q8—42no—
1402C2×Q8—42no—
1403C2×D4—24no—
1404C2×D4—22no—
1405C2×D4—28no—
1406C2×D4—28no—
1407C2×D4—24no—
1408C2×D4—22no—
1409C2×D4—264no—
1410C2×D4—232no—
1411C2×D4—24no—
1412C2×D4—28no—
1413C2×D4—24no—
1414C2×D4—28no—
1415C2×D4—28no—
1416C2×D4—28no—
1417C2×D4—24no—
1418C2×D4—28no—
1419C2×D4—24no—
1420C2×D4—24no—
1421C2×D4—24no—
1422C2×D4—24no—
1423C2×D4—24no—
1424C2×D4—24no—
1425C2×D4—28no—
1426C2×D4—28no—
1427C2×D4—24no—
1428C2×D4—28no—
1429C2×D4—28no—
1430C2×D4—28no—
1431C2×D4—24no—
1432C2×D4—24no—
1433C2×D4—28no—
1434C2×D4—24no—
1435C2×D4—24no—
1436C2×D4—28no—
1437C2×D4—28no—
1438C2×D4—28no—
1439C2×D4—28no—
1440C2×D4—24no—
1441C2×D4—24no—
1442C2×D4—22no—
1443C2×D4—22no—
1444C2×D4—22no—
1445C2×D4—24no—
1446C2×D4—24no—
1447C2×D4—22no—
1448C2×D4—24no—
1449C2×D4—22no—
1450C2×D4—22no—
1451C2×D4—24no—
1452C2×D4—24no—
1453C2×D4—22no—
1454C2×D4—24no—
1455C2×D4—22no—
1456C2×D4—22no—
1457C2×D4—22no—
1458C2×D4—24no—
1459C2×D4—22no—
1460C2×D4—432no—
1461C2×D4—44no—
1462C2×D4—42no—
1463C2×D4—42no—
1464C2×D4—42no—
1465C2×D4—42no—
1466C2×D4—42no—
1467C2×D4—44no—
1468C2×D4—42no—
1469C2×D4—44no—
1470C2×D4—44no—
1471C2×D4—42no—
1472C2×D4—44no—
1473C2×D4—42no—
1474C2×D4—42no—
1475C2×D4—44no—
1476C2×D4—42no—
1477C2×D4—42no—
1478C2×D4—42no—
1479C2×D4—44no—
1480C2×D4—42no—
1481C2×D4—44no—
1482C2×D4—44no—
1483C2×D4—42no—
1484C2×D4—42no—
1485C2×D4—42no—
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—432no—
1495C2×D4—464no—
1496C2×D4—464no—
1497C2×D4—432no—
1498C2×D4—464no—
1499C2×D4—416no—
1500C2×D4—816no—
1501C2×D4—832no—
1502C2×D4C22×D4116yes—
1503C2×D4C22×D418yes—
1504C2×D4C22×D418yes—
1505C2×D4C22×D414yes—
1506C2×D4C22×D418yes—
1507C2×D4C22×D4116yes—
1508C2×D4C22×D414yes—
1509C2×D4C2×#4118yes—
1510C2×D4C2×#4114yes—
1511C2×D4C2×#4114yes—
1512C2×D4H(5,𝔽2)14yes—
1513C22×C4—22no—
1514C22×C4—24no—
1515C22×C4—24no—
1516C22×C4—24no—
1517C22×C4—22no—
1518C22×C4—24no—
1519C22×C4—28no—
1520C22×C4—28no—
1521C22×C4—24no—
1522C22×C4—28no—
1523C22×C4—28no—
1524C22×C4—28no—
1525C22×C4—24no—
1526C22×C4—22no—
1527C22×C4—24no—
1528C22×C4—24no—
1529C22×C4—28no—
1530C22×C4—28no—
1531C22×C4—28no—
1532C22×C4—28no—
1533C22×C4—22no—
1534C22×C4—22no—
1535C22×C4—22no—
1536C22×C4—22no—
1537C22×C4—28no—
1538C22×C4—24no—
1539C22×C4—24no—
1540C22×C4—24no—
1541C22×C4—22no—
1542C22×C4—28no—
1543C22×C4—24no—
1544C22×C4—24no—
1545C22×C4—24no—
1546C22×C4—24no—
1547C22×C4—22no—
1548C22×C4—22no—
1549C22×C4—24no—
1550C22×C4—24no—
1551C22×C4—22no—
1552C22×C4—24no—
1553C22×C4—24no—
1554C22×C4—24no—
1555C22×C4—22no—
1556C22×C4—22no—
1557C22×C4—22no—
1558C22×C4—24no—
1559C22×C4—24no—
1560C22×C4—24no—
1561C22×C4—24no—
1562C22×C4—28no—
1563C22×C4—42no—
1564C22×C4—42no—
1565C22×C4—42no—
1566C22×C4—42no—
1567C22×C4—44no—
1568C22×C4—44no—
1569C22×C4—41no—
1570C22×C4—42no—
1571C22×C4—44no—
1572C22×C4—44no—
1573C22×C4—42no—
1574C22×C4—42no—
1575C22×C4—44no—
1576C22×C4—44no—
1577C22×C4—44no—
1578C22×C4—44no—
1579C22×C4—44no—
1580C22×C4—42no—
1581C22×C4—42no—
1582C22×C4—42no—
1583C22×C4—42no—
1584C22×C4—44no—
1585C22×C4—44no—
1586C22×C4—44no—
1587C22×C4—44no—
1588C22×C4—41no—
1589C22×C4—42no—
1590C22×C4—44no—
1591C22×C4—42no—
1592C22×C4—44no—
1593C22×C4—41no—
1594C22×C4—42no—
1595C22×C4—42no—
1596C22×C4—42no—
1597C22×C4—42no—
1598C22×C4—42no—
1599C22×C4—42no—
1600C22×C4—44no—
1601C22×C4—44no—
1602C22×C4—44no—
1603C22×C4—816no—
1604C22×C4—816no—
1605C22×C4—832no—
1606C22×C4C22×D418yes—
1607C22×C4C22×D418yes—
1608C22×C4C2×#4114yes—
1609C22×C4C2511yescharacteristic
1610C22×C4C2512yes—
1611C22×C4C2512yes—
1612C22×C4C2514yes—
1613C22×C4C2511yescharacteristic
1614C22×C4C2512yes—
1615C22×C4C2511yescharacteristic
1616C22×C4C2512yes—
1617C22×C4C2512yes—
1618C22×C4C2514yes—
1619C22×C4C2512yes—
1620C22×C4C2511yescharacteristic
1621C22×C4C2512yes—
1622C22×C4C2511yescharacteristic
1623C22×C4C2512yes—
1624C22×C4C2514yes—
1625C22×C4C2512yes—
1626C22×C4C2511yescharacteristic
1627C22×C4C2511yescharacteristic
1628C22×C4C2511yescharacteristic
1629C22×C4C2512yes—
1630C22×C4C2512yes—
1631C22×C4C2511yescharacteristic
1632C22×C4C2511yescharacteristic
1633C22×C4C2511yescharacteristic
1634C22×C4C2511yescharacteristic
1635C22×C4C2511yescharacteristic
1636C4⋊C4—22no—
1637C4⋊C4—24no—
1638C4⋊C4—22no—
1639C4⋊C4—22no—
1640C4⋊C4—24no—
1641C4⋊C4—24no—
1642C4⋊C4—22no—
1643C4⋊C4—24no—
1644C4⋊C4—28no—
1645C4⋊C4—28no—
1646C4⋊C4—28no—
1647C4⋊C4—24no—
1648C4⋊C4—24no—
1649C4⋊C4—24no—
1650C4⋊C4—24no—
1651C4⋊C4—28no—
1652C4⋊C4—24no—
1653C4⋊C4—24no—
1654C4⋊C4—24no—
1655C4⋊C4—22no—
1656C4⋊C4—22no—
1657C4⋊C4—22no—
1658C4⋊C4—22no—
1659C4⋊C4—22no—
1660C4⋊C4—24no—
1661C4⋊C4—24no—
1662C4⋊C4—24no—
1663C4⋊C4—22no—
1664C4⋊C4—44no—
1665C4⋊C4—44no—
1666C4⋊C4—42no—
1667C4⋊C4—42no—
1668C4⋊C4—41no—
1669C4⋊C4—42no—
1670C4⋊C4—42no—
1671C4⋊C4—42no—
1672C4⋊C4—42no—
1673C4⋊C4—44no—
1674C4⋊C4—44no—
1675C4⋊C4—44no—
1676C4⋊C4—42no—
1677C4⋊C4C22×D414yes—
1678C4⋊C4C22×D414yes—
1679C22⋊C4—24no—
1680C22⋊C4—24no—
1681C22⋊C4—28no—
1682C22⋊C4—24no—
1683C22⋊C4—24no—
1684C22⋊C4—28no—
1685C22⋊C4—28no—
1686C22⋊C4—24no—
1687C22⋊C4—28no—
1688C22⋊C4—28no—
1689C22⋊C4—28no—
1690C22⋊C4—28no—
1691C22⋊C4—28no—
1692C22⋊C4—24no—
1693C22⋊C4—28no—
1694C22⋊C4—22no—
1695C22⋊C4—24no—
1696C22⋊C4—24no—
1697C22⋊C4—24no—
1698C22⋊C4—28no—
1699C22⋊C4—22no—
1700C22⋊C4—24no—
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—22no—
1710C22⋊C4—24no—
1711C22⋊C4—24no—
1712C22⋊C4—24no—
1713C22⋊C4—22no—
1714C22⋊C4—22no—
1715C22⋊C4—24no—
1716C22⋊C4—28no—
1717C22⋊C4—24no—
1718C22⋊C4—24no—
1719C22⋊C4—42no—
1720C22⋊C4—44no—
1721C22⋊C4—44no—
1722C22⋊C4—42no—
1723C22⋊C4—42no—
1724C22⋊C4—42no—
1725C22⋊C4—42no—
1726C22⋊C4—44no—
1727C22⋊C4—44no—
1728C22⋊C4—44no—
1729C22⋊C4—44no—
1730C22⋊C4—44no—
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—44no—
1740C22⋊C4—42no—
1741C22⋊C4—42no—
1742C22⋊C4—42no—
1743C22⋊C4—41no—
1744C22⋊C4—42no—
1745C22⋊C4—44no—
1746C22⋊C4—44no—
1747C22⋊C4—44no—
1748C22⋊C4—44no—
1749C22⋊C4—44no—
1750C22⋊C4—42no—
1751C22⋊C4—42no—
1752C22⋊C4—42no—
1753C22⋊C4—42no—
1754C22⋊C4—42no—
1755C22⋊C4C22×D418yes—
1756C22⋊C4C22×D4116yes—
1757C22⋊C4C22×D418yes—
1758C42—22no—
1759C42—22no—
1760C42—22no—
1761C42—22no—
1762C42—22no—
1763C42—22no—
1764C42—28no—
1765C42—24no—
1766C42—22no—
1767C42—24no—
1768C42—24no—
1769C42—24no—
1770C42—22no—
1771C42—24no—
1772C42—22no—
1773C42—42no—
1774C42—42no—
1775C42—41no—
1776C42—41no—
1777C42C22×D414yes—
1778C42H(5,𝔽2)14yescomplemented
1779C23—22no—
1780C23—22no—
1781C23—22no—
1782C23—22no—
1783C23—21no—
1784C23—22no—
1785C23—21no—
1786C23—21no—
1787C23—22no—
1788C23—24no—
1789C23—22no—
1790C23—22no—
1791C23—21no—
1792C23—21no—
1793C23—24no—
1794C23—21no—
1795C23—24no—
1796C23—22no—
1797C23—21no—
1798C23—22no—
1799C23—21no—
1800C23—22no—
1801C23—22no—
1802C23—24no—
1803C23—22no—
1804C23—21no—
1805C23—21no—
1806C23—22no—
1807C23—24no—
1808C23—21no—
1809C23—22no—
1810C23—24no—
1811C23—22no—
1812C23—21no—
1813C23—216no—
1814C23—232no—
1815C23—22no—
1816C23—22no—
1817C23—22no—
1818C23—22no—
1819C23—22no—
1820C23—22no—
1821C23—22no—
1822C23—22no—
1823C23—22no—
1824C23—22no—
1825C23—22no—
1826C23—22no—
1827C23—22no—
1828C23—22no—
1829C23—416no—
1830C23—48no—
1831C23—416no—
1832C23—48no—
1833C23—48no—
1834C23—48no—
1835C23—48no—
1836C23—416no—
1837C23—48no—
1838C23—84no—
1839C23—84no—
1840C23—88no—
1841C23—84no—
1842C23—88no—
1843C23—84no—
1844C23—88no—
1845C23—84no—
1846C23—88no—
1847C23—84no—
1848C23—84no—
1849C23—88no—
1850C23—88no—
1851C23—88no—
1852C23—88no—
1853C23—164no—
1854C23—164no—
1855C23C23×D414yes—
1856C23C23×D418yes—
1857C23C23×D414yes—
1858C23C22×#4114yes—
1859C23C22×#4112yes—
1860C23C22×#4114yes—
1861C23C2×H(5,𝔽2)14yes—
1862C23#58512yes—
1863C23C2611yescharacteristic
1864Q8—48no—
1865Q8—48no—
1866Q8—44no—
1867Q8—84no—
1868D4—28no—
1869D4—216no—
1870D4—232no—
1871D4—28no—
1872D4—216no—
1873D4—28no—
1874D4—216no—
1875D4—416no—
1876D4—48no—
1877D4—48no—
1878D4—48no—
1879D4—48no—
1880D4—48no—
1881D4—48no—
1882D4—416no—
1883D4—416no—
1884D4—416no—
1885D4—48no—
1886D4—416no—
1887D4—48no—
1888D4—48no—
1889D4—416no—
1890D4—44no—
1891D4—44no—
1892D4—84no—
1893D4—84no—
1894D4—84no—
1895D4—88no—
1896D4—88no—
1897D4—88no—
1898D4—88no—
1899D4—164no—
1900D4#546116yescomplemented
1901C2×C4—21no—
1902C2×C4—21no—
1903C2×C4—22no—
1904C2×C4—22no—
1905C2×C4—21no—
1906C2×C4—22no—
1907C2×C4—21no—
1908C2×C4—21no—
1909C2×C4—21no—
1910C2×C4—22no—
1911C2×C4—21no—
1912C2×C4—21no—
1913C2×C4—216no—
1914C2×C4—28no—
1915C2×C4—216no—
1916C2×C4—21no—
1917C2×C4—21no—
1918C2×C4—21no—
1919C2×C4—21no—
1920C2×C4—21no—
1921C2×C4—22no—
1922C2×C4—24no—
1923C2×C4—22no—
1924C2×C4—22no—
1925C2×C4—22no—
1926C2×C4—22no—
1927C2×C4—24no—
1928C2×C4—21no—
1929C2×C4—22no—
1930C2×C4—21no—
1931C2×C4—22no—
1932C2×C4—24no—
1933C2×C4—22no—
1934C2×C4—22no—
1935C2×C4—21no—
1936C2×C4—22no—
1937C2×C4—22no—
1938C2×C4—22no—
1939C2×C4—24no—
1940C2×C4—24no—
1941C2×C4—22no—
1942C2×C4—21no—
1943C2×C4—21no—
1944C2×C4—22no—
1945C2×C4—22no—
1946C2×C4—22no—
1947C2×C4—22no—
1948C2×C4—24no—
1949C2×C4—21no—
1950C2×C4—21no—
1951C2×C4—21no—
1952C2×C4—21no—
1953C2×C4—21no—
1954C2×C4—22no—
1955C2×C4—22no—
1956C2×C4—22no—
1957C2×C4—21no—
1958C2×C4—24no—
1959C2×C4—21no—
1960C2×C4—22no—
1961C2×C4—22no—
1962C2×C4—22no—
1963C2×C4—22no—
1964C2×C4—21no—
1965C2×C4—21no—
1966C2×C4—21no—
1967C2×C4—22no—
1968C2×C4—22no—
1969C2×C4—22no—
1970C2×C4—24no—
1971C2×C4—24no—
1972C2×C4—21no—
1973C2×C4—48no—
1974C2×C4—48no—
1975C2×C4—416no—
1976C2×C4—416no—
1977C2×C4—44no—
1978C2×C4—48no—
1979C2×C4—416no—
1980C2×C4—44no—
1981C2×C4—48no—
1982C2×C4—44no—
1983C2×C4—44no—
1984C2×C4—48no—
1985C2×C4—48no—
1986C2×C4—82no—
1987C2×C4—84no—
1988C2×C4—84no—
1989C2×C4—84no—
1990C2×C4—84no—
1991C2×C4—88no—
1992C2×C4—84no—
1993C2×C4—84no—
1994C2×C4—88no—
1995C2×C4—88no—
1996C2×C4—88no—
1997C2×C4—88no—
1998C2×C4—84no—
1999C2×C4—88no—
2000C2×C4—88no—
2001C2×C4C23×D412yes—
2002C2×C4C23×D414yes—
2003C2×C4C23×D414yes—
2004C2×C4C23×D412yes—
2005C2×C4C23×D412yes—
2006C2×C4C22×#4112yes—
2007C2×C4C22×#4112yes—
2008C2×C4C2×H(5,𝔽2)12yes—
2009C2×C4C2×H(5,𝔽2)12yes—
2010C2×C4C2×H(5,𝔽2)12yes—
2011C2×C4C2×H(5,𝔽2)12yes—
2012C2×C4#58512yes—
2013C22—24no—
2014C22—24no—
2015C22—24no—
2016C22—24no—
2017C22—24no—
2018C22—24no—
2019C22—22no—
2020C22—28no—
2021C22—24no—
2022C22—24no—
2023C22—22no—
2024C22—22no—
2025C22—28no—
2026C22—24no—
2027C22—22no—
2028C22—22no—
2029C22—24no—
2030C22—22no—
2031C22—24no—
2032C22—24no—
2033C22—28no—
2034C22—41no—
2035C22—42no—
2036C22—41no—
2037C22—42no—
2038C22—44no—
2039C22—42no—
2040C22—41no—
2041C22—44no—
2042C22—42no—
2043C22—41no—
2044C22—41no—
2045C22—42no—
2046C22—42no—
2047C22—44no—
2048C22—42no—
2049C22—44no—
2050C22—41no—
2051C22—41no—
2052C22—42no—
2053C22—41no—
2054C22—42no—
2055C22—42no—
2056C22—42no—
2057C22—42no—
2058C22—42no—
2059C22—42no—
2060C22—42no—
2061C22—42no—
2062C22—42no—
2063C22—42no—
2064C22—42no—
2065C22—42no—
2066C22—42no—
2067C22—42no—
2068C22—832no—
2069C22—816no—
2070C22—816no—
2071C22—1616no—
2072C22C2×#54618yes—
2073C22C24×D411yescharacteristic
2074C22C23×#4111yescharacteristic
2075C22C22×H(5,𝔽2)11yescharacteristic
2076C22C22×H(5,𝔽2)11yescharacteristic
2077C22C2×#58511yescharacteristic
2078C22C2×#58511yescharacteristic
2079C22H(7,𝔽2)11yescharacteristic
2080C4—22no—
2081C4—24no—
2082C4—22no—
2083C4—22no—
2084C4—22no—
2085C4—24no—
2086C4—41no—
2087C4—42no—
2088C4—44no—
2089C4—41no—
2090C4—41no—
2091C4—41no—
2092C4—42no—
2093C4—41no—
2094C4—42no—
2095C4—41no—
2096C4—42no—
2097C4—42no—
2098C4—42no—
2099C4—42no—
2100C4—42no—
2101C4—44no—
2102C4—42no—
2103C4—44no—
2104C4—41no—
2105C4C2×#54614yes—
2106C4#349614yes—
2107C2—28no—
2108C2—42no—
2109C2—44no—
2110C2—42no—
2111C2—48no—
2112C2—44no—
2113C2—82no—
2114C2—82no—
2115C2C22×#54611yescharacteristic
2116C2C2×#349611yescharacteristic
2117C2#6277311yescharacteristic
2118C2#6291211yescharacteristic
2119C2#6298711yescharacteristic
2120C2#6299211yescharacteristic
2121C2#6301811yescharacteristic
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×#3519C2semidirect
2. C2×#3496C2semidirect
3. #59812C2semidirect
4. #59803C2semidirect
5. #59412C2semidirect
6. #59318C2semidirect
7. #59041C2semidirect
8. #59033C2semidirect
9. #59023C2semidirect
10. #59013C2semidirect
11. #45104C2semidirect
12. #45002C2semidirect
13. #43021C2semidirect
14. #42997C2semidirect
15. #39469C2semidirect
16. #39466C2semidirect
17. #39436C2semidirect
18. #39428C2semidirect
19. #38908C2semidirect
20. #38904C2semidirect
21. #36415C2semidirect
22. #36214C2semidirect
23. #36214C2semidirect
24. #36164C2semidirect
25. #36154C2semidirect
26. #36153C2semidirect
27. #36149C2semidirect
28. #36096C2semidirect
29. #35791C2semidirect
30. #35680C2semidirect
31. #34889C2semidirect
32. C2×#2535C2semidirect
33. #34256C2semidirect
34. C4×D42C2semidirect
35. C4×D42C2semidirect
39. C2×#555C22semidirect
40. C2×#554C22semidirect
41. C2×#553C22semidirect
42. C2×#553C22semidirect
43. C2×#550C22semidirect
45. C2×#547C22semidirect
46. C2×#547C22semidirect
48. C2×#546C22semidirect
49. C2×#546C22semidirect
50. C2×#546C22semidirect
51. C2×#546C22semidirect
52. C2×#546C22semidirect
53. C2×#546C22semidirect
56. C2×D42C22semidirect
57. C2×D42C22semidirect
58. C2×D42C22semidirect
59. C2×#540C22semidirect
60. C2×#538C22semidirect
61. C2×#537C22semidirect
62. C2×#534C22semidirect
63. C2×#532C22semidirect
64. C2×#532C22semidirect
65. C2×#532C22semidirect
66. C2×#529C22semidirect
67. C2×#525C22semidirect
68. C22×#121C22semidirect
69. C22×#121C22semidirect
70. C22×#121C22semidirect
71. C2×#518C22semidirect
73. C22×C4×D4C22semidirect
74. C22×C4×D4C22semidirect
75. C22×C4×D4C22semidirect
76. C22×C4×D4C22semidirect
77. #2862C22semidirect
78. #2857C22semidirect
79. #2857C22semidirect
80. #2850C22semidirect
81. #2850C22semidirect
82. #2848C22semidirect
83. #2847C22semidirect
84. #2847C22semidirect
85. #2712C22semidirect
86. #2708C22semidirect
87. #2708C22semidirect
88. #2706C22semidirect
89. #2703C22semidirect
90. #2698C22semidirect
91. #2695C22semidirect
92. #2693C22semidirect
93. #2693C22semidirect
94. #2691C22semidirect
95. #2688C22semidirect
96. #2688C22semidirect
97. #2688C22semidirect
98. #2688C22semidirect
99. #2688C22semidirect
100. #2687C22semidirect
101. #2684C22semidirect
102. #2678C22semidirect
103. #2676C22semidirect
104. #2668C22semidirect
105. #2668C22semidirect
106. #2625C22semidirect
107. #2622C22semidirect
108. #2615C22semidirect
109. #2613C22semidirect
110. #2568C22semidirect
111. #2563C22semidirect
112. #2563C22semidirect
113. #2559C22semidirect
114. #2557C22semidirect
115. #2557C22semidirect
116. #2557C22semidirect
117. #2553C22semidirect
118. #2550C22semidirect
119. #2547C22semidirect
120. #2544C22semidirect
121. #2544C22semidirect
122. #2543C22semidirect
123. #2543C22semidirect
124. #2540C22semidirect
125. #2538C22semidirect
126. #2537C22semidirect
127. #2535C22semidirect
128. #2535C22semidirect
129. #2535C22semidirect
130. #2535C22semidirect
131. #2535C22semidirect
132. #2535C22semidirect
133. #2535C22semidirect
134. #2535C22semidirect
135. #2535C22semidirect
136. #2535C22semidirect
137. #2535C22semidirect
138. #2535C22semidirect
139. #2535C22semidirect
140. #2535C22semidirect
141. #2534C22semidirect
142. #2534C22semidirect
143. #2521C22semidirect
144. #2504C22semidirect
145. #2503C22semidirect
146. #2499C22semidirect
147. #2492C22semidirect
148. #2490C22semidirect
149. #2489C22semidirect
150. #2489C22semidirect
151. #2488C22semidirect
152. #2488C22semidirect
153. #2488C22semidirect
154. #2487C22semidirect
155. #2486C22semidirect
156. #2485C22semidirect
157. #2483C22semidirect
158. #2480C22semidirect
159. #2464C22semidirect
160. #2464C22semidirect
161. #2457C22semidirect
162. #2456C22semidirect
163. #2454C22semidirect
164. #2450C22semidirect
165. #2450C22semidirect
166. #2447C22semidirect
167. #2447C22semidirect
168. #2447C22semidirect
169. #2444C22semidirect
170. #2444C22semidirect
171. #2443C22semidirect
172. #2442C22semidirect
173. #2442C22semidirect
174. #2439C22semidirect
175. #2437C22semidirect
176. #2433C22semidirect
177. #2431C22semidirect
178. #2431C22semidirect
179. #2430C22semidirect
180. #2428C22semidirect
181. #2428C22semidirect
182. #2428C22semidirect
183. #2427C22semidirect
184. #2427C22semidirect
185. #2427C22semidirect
186. #2427C22semidirect
187. #2427C22semidirect
188. #2425C22semidirect
189. #2425C22semidirect
190. #2425C22semidirect
191. #2424C22semidirect
192. #2424C22semidirect
193. #2424C22semidirect
194. #2422C22semidirect
195. #2420C22semidirect
196. #2420C22semidirect
197. #2420C22semidirect
198. #2420C22semidirect
199. #2420C22semidirect
200. #2419C22semidirect
201. #2419C22semidirect
202. #2418C22semidirect
203. #2417C22semidirect
204. #2417C22semidirect
205. #2417C22semidirect
206. #2417C22semidirect
207. #2416C22semidirect
208. #2416C22semidirect
209. #2414C22semidirect
210. #2412C22semidirect
211. #2412C22semidirect
212. #2412C22semidirect
213. #2412C22semidirect
214. #2410C22semidirect
215. #2410C22semidirect
216. #2410C22semidirect
217. #2408C22semidirect
218. #2408C22semidirect
219. #2408C22semidirect
220. #2407C22semidirect
221. #2407C22semidirect
222. #2407C22semidirect
223. #2407C22semidirect
224. #2407C22semidirect
225. #2404C22semidirect
226. #2404C22semidirect
227. #2403C22semidirect
228. #2403C22semidirect
229. #2395C22semidirect
230. C2×#397C22semidirect
231. #2388C22semidirect
232. C2×#392C22semidirect
233. #2366C22semidirect
234. #2366C22semidirect
235. #2361C22semidirect
236. #2361C22semidirect
237. #2361C22semidirect
238. #2361C22semidirect
239. #2361C22semidirect
240. #2358C22semidirect
241. #2358C22semidirect
242. #2358C22semidirect
243. #2358C22semidirect
244. #2352C22semidirect
245. #2352C22semidirect
246. #2349C22semidirect
247. #2349C22semidirect
248. D4×C4⋊C4C22semidirect
249. D4×C4⋊C4C22semidirect
250. D4×C4⋊C4C22semidirect
251. D4×C4⋊C4C22semidirect
252. #2339C22semidirect
253. #2339C22semidirect
254. #2339C22semidirect
255. #2339C22semidirect
256. #2339C22semidirect
257. #2339C22semidirect
258. #2339C22semidirect
259. #2339C22semidirect
260. #2339C22semidirect
263. D4×C22⋊C4C22semidirect
264. D4×C22⋊C4C22semidirect
265. D4×C22⋊C4C22semidirect
266. D4×C22⋊C4C22semidirect
267. D4×C22⋊C4C22semidirect
268. D4×C22⋊C4C22semidirect
269. D4×C22⋊C4C22semidirect
270. D4×C22⋊C4C22semidirect
271. D4×C22⋊C4C22semidirect
272. #2311C22semidirect
273. #2311C22semidirect
274. #2308C22semidirect
275. #2308C22semidirect
276. C4×#127C22semidirect
277. C4×#127C22semidirect
278. C4×#124C22semidirect
279. C4×C22⋊Q8C22semidirect
280. C4×#121C22semidirect
281. C4×#121C22semidirect
282. C4×#121C22semidirect
283. C4×#121C22semidirect
284. C4×#121C22semidirect
285. C4×#121C22semidirect
286. C4×#121C22semidirect
287. C4×#120C22semidirect
288. C4×#120C22semidirect
289. C4×#120C22semidirect
290. #2297C22semidirect
291. #2297C22semidirect
292. C2×#386C22semidirect
293. C2×#386C22semidirect
294. C2×#386C22semidirect
295. C2×#382C22semidirect
296. C2×#380C22semidirect
297. C2×#380C22semidirect
298. C42×D4C22semidirect
299. C42×D4C22semidirect
300. C42×D4C22semidirect
344. D42D4semidirect
914. C22×D4C2×D4semidirect
915. C22×D4#41semidirect
995. #127C2×D4semidirect
1062. #121C2×D4semidirect
1063. #121C2×D4semidirect
1075. #120C2×D4semidirect
1127. C4×D4C2×D4semidirect
1778. C42H(5,𝔽2)semidirect
1900. D4#546semidirect

Maximal subgroups

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

subgroupindex
C2×#35192
C2×#34962
#598122
#598032
#594122
#593182
#590412
#590332
#590232
#590132
#451042
#450022
#430212
#429972
#394692
#394662
#394362
#394282
#389082
#389042
#364152
#362142
#361642
#361542
#361532
#361492
#360962
#357912
#356802
#348892
C2×#25352
#342562
C4×D422