Finite Group Databasebeta

← #7690592

Subgroups — #7690592

Order 512.

8836 conjugacy classes of subgroups.

The subgroup lattice has 2054 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3514C211yesmaximal, characteristic, complemented
2C2×#3496C211yesmaximal, characteristic, complemented
3#59568C212yesmaximal, complemented
4#59420C211yesmaximal, characteristic, complemented
5#59409C212yesmaximal, complemented
6#59311C214yesmaximal, complemented
7#59064C211yesmaximal, characteristic, complemented
8#59035C211yesmaximal, characteristic, complemented
9#59031C212yesmaximal, complemented
10#58996C212yesmaximal, complemented
11#45108C212yesmaximal, complemented
12#44885C212yesmaximal, complemented
13#43489C214yesmaximal, complemented
14#43016C214yesmaximal, complemented
15#39468C211yesmaximal, characteristic, complemented
16#39466C212yesmaximal, complemented
17#39432C212yesmaximal, complemented
18#39428C214yesmaximal, complemented
19#38908C211yesmaximal, characteristic, complemented
20#38906C212yesmaximal, complemented
21#36406C211yesmaximal, characteristic, complemented
22#36303C211yesmaximal, characteristic, complemented
23#36259C211yesmaximal, characteristic, complemented
24#36214C212yesmaximal, complemented
25#36153C212yesmaximal, complemented
26#36149C211yesmaximal, characteristic, complemented
27#36107C212yesmaximal, complemented
28D4×C22⋊Q8C211yesmaximal, characteristic, complemented
29#35791C212yesmaximal, complemented
30#35750C212yesmaximal, complemented
31#34889C211yesmaximal, characteristic, complemented
32C2×#2427C212yesmaximal, complemented
33#34256C212yesmaximal, complemented
34C4×#546C211yesmaximal, characteristic, complemented
35C4×D42C211yesmaximal, characteristic, complemented
36C22×H(5,𝔽2)C2212yes—
37#3514—216no—
38#3496—216no—
39C2×#559C2211yescharacteristic, complemented
40C2×#556C2211yescharacteristic, complemented
41C2×#555C2212yescomplemented
42C2×#551C2214yescomplemented
43C2×D4×Q8C2211yescharacteristic, complemented
44C2×#548C2212yescomplemented
45C2×#547C2212yes—
46C2×#547C2211yescharacteristic
47C2×#547C2211yescharacteristic
48C2×#547C2212yescomplemented
49C2×#546C2212yes—
50C2×#546C2212yes—
51C2×#546C2214yes—
52C2×#546C2211yescharacteristic
53C2×#546C2212yescomplemented
54C2×#546C2212yescomplemented
55C2×#546C2212yescomplemented
56C2×D42C2211yescharacteristic
57C2×D42C2212yes—
58C2×D42C2211yescharacteristic
59C2×#542C2212yescomplemented
60C2×#538C2214yescomplemented
61C2×#537C2212yes—
62C2×#534C2214yes—
63C2×#532C2211yescharacteristic
64C2×#532C2211yescharacteristic
65C2×#532C2211yescharacteristic, complemented
66C2×#529C2212yescomplemented
67C2×#529C2211yescharacteristic, complemented
68C22×#124C2212yescomplemented
69C22×C22⋊Q8C2212yescomplemented
70C22×#121C2212yes—
71C22×#121C2212yes—
72C2×#518C2212yescomplemented
73C2×C4×#41C2211yescharacteristic, complemented
74C22×C4×D4C2211yescharacteristic
75C22×C4×D4C2212yescomplemented
76C22×C4×D4C2212yescomplemented
77#2862C2211yescharacteristic, complemented
78#2857C2212yescomplemented
79#2857C2211yescharacteristic, complemented
80#2857C2211yescharacteristic, complemented
81#2854C2212yescomplemented
82#2850C2212yescomplemented
83#2848C2212yescomplemented
84#2847C2214yescomplemented
85#2715C2214yescomplemented
86#2708C2214yescomplemented
87#2708C2214yescomplemented
88#2708C2214yescomplemented
89#2700C2214yescomplemented
90#2697C2214yescomplemented
91#2695C2214yescomplemented
92#2695C2214yescomplemented
93#2693C2214yescomplemented
94#2691C2214yescomplemented
95#2689C2214yescomplemented
96#2688C2214yescomplemented
97#2688C2214yescomplemented
98#2687C2214yescomplemented
99#2686C2214yescomplemented
100#2686C2214yescomplemented
101#2684C2214yescomplemented
102#2684C2214yescomplemented
103#2681C2214yescomplemented
104#2676C2214yescomplemented
105#2668C2214yescomplemented
106#2625C2212yescomplemented
107#2622C2214yescomplemented
108#2616C2212yescomplemented
109#2613C2214yescomplemented
110#2568C2211yescharacteristic, complemented
111#2559C2214yescomplemented
112#2559C2212yescomplemented
113#2557C2214yescomplemented
114#2557C2212yescomplemented
115#2553C2214yescomplemented
116#2553C2214yescomplemented
117#2550C2211yescharacteristic, complemented
118#2549C2214yescomplemented
119#2547C2211yescharacteristic, complemented
120#2547C2212yescomplemented
121#2546C2211yescharacteristic, complemented
122#2544C2212yescomplemented
123#2544C2211yescharacteristic, complemented
124#2543C2214yescomplemented
125#2542C2211yescharacteristic, complemented
126#2540C2211yescharacteristic, complemented
127#2538C2211yescharacteristic, complemented
128#2538C2211yescharacteristic, complemented
129#2537C2212yescomplemented
130#2535C2212yescomplemented
131#2535C2211yescharacteristic, complemented
132#2535C2212yescomplemented
133#2534C2214yescomplemented
134#2534C2214yescomplemented
135#2521C2212yescomplemented
136#2503C2212yescomplemented
137#2499C2212yescomplemented
138#2492C2212yescomplemented
139#2492C2211yescharacteristic, complemented
140#2492C2212yescomplemented
141#2490C2211yescharacteristic, complemented
142#2488C2214yescomplemented
143#2488C2214yescomplemented
144#2486C2214yescomplemented
145#2486C2212yescomplemented
146#2485C2212yescomplemented
147#2483C2214yescomplemented
148#2480C2214yescomplemented
149#2476C2214yescomplemented
150#2472C2214yescomplemented
151#2470C2214yescomplemented
152#2464C2212yescomplemented
153#2452C2212yescomplemented
154#2451C2212yescomplemented
155#2449C2214yescomplemented
156#2447C2212yescomplemented
157#2447C2212yescomplemented
158#2447C2212yescomplemented
159#2447C2212yescomplemented
160#2444C2214yescomplemented
161#2443C2214yescomplemented
162#2442C2212yescomplemented
163#2440C2212yescomplemented
164#2438C2214yescomplemented
165#2437C2214yescomplemented
166#2437C2214yescomplemented
167#2436C2212yescomplemented
168#2435C2212yescomplemented
169#2435C2212yescomplemented
170#2435C2212yescomplemented
171#2432C2212yescomplemented
172#2432C2212yescomplemented
173#2430C2214yescomplemented
174#2429C2212yescomplemented
175#2428C2211yescharacteristic, complemented
176#2427C2214yescomplemented
177#2427C2212yescomplemented
178#2427C2214yescomplemented
179#2427C2212yescomplemented
180#2427C2212yescomplemented
181#2427C2212yescomplemented
182#2427C2212yescomplemented
183#2427C2214yescomplemented
184#2427C2212yescomplemented
185#2427C2212yescomplemented
186#2427C2211yescharacteristic, complemented
187#2427C2212yescomplemented
188#2427C2212yescomplemented
189#2427C2214yescomplemented
190#2427C2212yescomplemented
191#2426C2212yescomplemented
192#2425C2214yescomplemented
193#2425C2214yescomplemented
194#2425C2214yescomplemented
195#2425C2214yescomplemented
196#2424C2214yescomplemented
197#2422C2212yescomplemented
198#2420C2212yescomplemented
199#2420C2212yescomplemented
200#2420C2212yescomplemented
201#2420C2212yescomplemented
202#2420C2212yescomplemented
203#2419C2214yescomplemented
204#2419C2214yescomplemented
205#2419C2214yescomplemented
206#2418C2214yescomplemented
207#2417C2212yescomplemented
208#2417C2212yescomplemented
209#2417C2212yescomplemented
210#2417C2212yescomplemented
211#2416C2214yescomplemented
212#2416C2212yescomplemented
213#2415C2212yescomplemented
214#2413C2214yescomplemented
215#2412C2214yescomplemented
216#2412C2214yescomplemented
217#2412C2214yescomplemented
218#2410C2214yescomplemented
219#2410C2214yescomplemented
220#2409C2212yescomplemented
221#2408C2212yescomplemented
222#2407C2212yescomplemented
223#2407C2212yescomplemented
224#2407C2212yescomplemented
225#2407C2212yescomplemented
226#2406C2214yescomplemented
227#2405C2214yescomplemented
228#2405C2214yescomplemented
229#2395C2212yescomplemented
230C2×#397C2214yescomplemented
231#2388C2212yescomplemented
232C2×#394C2214yescomplemented
233#2367C2211yescharacteristic, complemented
234#2366C2211yescharacteristic, complemented
235#2364C2212yescomplemented
236#2363C2211yescharacteristic, complemented
237#2361C2212yescomplemented
238#2361C2212yescomplemented
239#2360C2211yescharacteristic, complemented
240#2360C2212yescomplemented
241#2360C2212yescomplemented
242#2359C2212yescomplemented
243#2358C2212yescomplemented
244#2358C2214yescomplemented
245#2352C2211yescharacteristic, complemented
246#2349C2212yescomplemented
247#2349C2211yescharacteristic, complemented
248#2349C2212yescomplemented
249D4×C4⋊C4C2211yescharacteristic, complemented
250D4×C4⋊C4C2212yescomplemented
251D4×C4⋊C4C2211yescharacteristic, complemented
252#2342C2212yescomplemented
253#2342C2214yescomplemented
254#2339C2212yescomplemented
255#2339C2212yescomplemented
256#2339C2214yescomplemented
257#2339C2211yescharacteristic, complemented
258#2339C2212yescomplemented
259#2339C2212yescomplemented
260#2339C2214yescomplemented
261#2339C2212yescomplemented
262#2339C2212yescomplemented
263D4×C22⋊C4C2211yescharacteristic
264D4×C22⋊C4C2212yes—
265D4×C22⋊C4C2214yescomplemented
266D4×C22⋊C4C2214yescomplemented
267D4×C22⋊C4C2212yescomplemented
268D4×C22⋊C4C2212yescomplemented
269D4×C22⋊C4C2212yescomplemented
270D4×C22⋊C4C2212yescomplemented
271D4×C22⋊C4C2212yescomplemented
272#2311C2212yescomplemented
273#2311C2212yescomplemented
274#2308C2214yescomplemented
275#2308C2214yescomplemented
276C4×#127C2211yescharacteristic, complemented
277C4×#124C2211yescharacteristic, complemented
278C4×#124C2211yescharacteristic, complemented
279C4×C22⋊Q8C2211yescharacteristic, complemented
280C4×C22⋊Q8C2211yescharacteristic, complemented
281C4×#123C2212yescomplemented
282C4×#121C2212yescomplemented
283C4×#121C2212yescomplemented
284C4×#121C2212yescomplemented
285C4×#121C2212yescomplemented
286C4×#121C2211yescharacteristic, complemented
287C4×#121C2211yescharacteristic, complemented
288C4×#120C2214yescomplemented
289C4×#120C2212yescomplemented
290#2297C2212yescomplemented
291#2297C2212yescomplemented
292C2×#391C2212yescomplemented
293C2×#389C2212yescomplemented
294C2×#386C2214yescomplemented
295C2×#386C2214yescomplemented
296C2×#380C2214yescomplemented
297C42×D4C2211yescharacteristic, complemented
298C42×D4C2211yescharacteristic, complemented
299C42×D4C2211yescharacteristic, complemented
300C2×C4×C22⋊C4C2212yescomplemented
301C2×H(5,𝔽2)—216no—
302C2×H(5,𝔽2)—216no—
303C2×H(5,𝔽2)—48no—
304C22×#41C2312yes—
305C22×#41C2311yescharacteristic
306C22×#41C2312yes—
307C22×#41C2312yes—
308C22×#41C2314yes—
309C22×#41C2312yes—
310C22×#41C2312yes—
311C23×Q8C2312yes—
312C23×D4C2314yes—
313C23×D4C2314yes—
314C23×D4C2314yes—
315C23×D4C2312yes—
316C23×D4C2312yes—
317C23×D4C2311yescharacteristic
318C23×D4C2312yes—
319C23×D4C2312yes—
320C24×C4C2312yes—
321C24×C4C2314yes—
322#559—28no—
323#556—28no—
324#555—216no—
325#551—232no—
326D4×Q8—28no—
327#548—216no—
328#547—216no—
329#547—28no—
330#547—28no—
331#547—48no—
332#546—216no—
333#546—216no—
334#546—216no—
335#546—28no—
336#546—216no—
337#546—232no—
338#546—48no—
339D42—216no—
340D42—28no—
341D42D4116yescomplemented
342#542—216no—
343#538—232no—
344#537—216no—
345#534—232no—
346#532—28no—
347#532—28no—
348#532—28no—
349C2×C4⋊Q8C2311yescharacteristic
350C2×C4⋊Q8C2311yescharacteristic
351C2×C4⋊Q8C2311yescharacteristic
352C2×C4⋊Q8C2312yes—
353C2×C4⋊Q8C2312yes—
354C2×#127C2311yescharacteristic
355C2×#127C2311yescharacteristic
356#529—216no—
357#529—28no—
358C2×#126C2314yes—
359C2×#126C2312yes—
360C2×#126C2314yes—
361C2×#125C2311yescharacteristic
362C2×#124—216no—
363C2×#124C2311yescharacteristic
364C2×#124C2311yescharacteristic
365C2×#124C2312yes—
366C2×#124C2314yes—
367C2×#124C2312yes—
368C2×#124C2314yes—
369C2×#124C2312yes—
370C2×#124C2312yes—
371C2×#124C2312yes—
372C2×#124C2314yes—
373C2×#124C2312yes—
374C2×#124C2312yes—
375C2×#124C2311yescharacteristic
376C2×#123C2312yes—
377C2×#123C2314yes—
378C2×#123C2314yes—
379C2×#123C2312yes—
380C2×#123C2314yes—
381C2×#123C2314yes—
382C2×#123C2314yes—
383C2×#123C2314yes—
384C2×#123C2314yes—
385C2×#123C2314yes—
386C2×#123C2314yes—
387C2×#123C2314yes—
388C2×C22⋊Q8—48no—
389C2×C22⋊Q8C2312yes—
390C2×C22⋊Q8C2312yes—
391C2×C22⋊Q8C2312yes—
392C2×C22⋊Q8C2311yescharacteristic
393C2×C22⋊Q8C2312yes—
394C2×C22⋊Q8C2311yescharacteristic
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2311yescharacteristic
397C2×C22⋊Q8C2314yes—
398C2×C22⋊Q8C2314yes—
399C2×C22⋊Q8C2314yes—
400C2×C22⋊Q8C2312yes—
401C2×C22⋊Q8C2312yes—
402C2×C22⋊Q8C2312yes—
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2314yes—
406C2×C22⋊Q8C2314yes—
407C2×#121—216no—
408C2×#121—216no—
409C2×#121C2312yes—
410C2×#121C2311yescharacteristic
411C2×#121C2312yes—
412C2×#121C2312yes—
413C2×#121C2312yes—
414C2×#121C2312yes—
415C2×#121C2311yescharacteristic
416C2×#121C2311yescharacteristic
417C2×#121C2314yes—
418C2×#121C2314yes—
419C2×#121C2314yes—
420C2×#121C2312yes—
421C2×#121C2314yes—
422C2×#121C2314yes—
423C2×#121C2312yes—
424C2×#121C2311yescharacteristic
425C2×#121C2311yescharacteristic
426C2×#121C2312yes—
427C2×#121C2312yes—
428C2×#121C2312yes—
429C2×#121C2314yes—
430C2×#121C2314yes—
431C2×#121C2312yes—
432C2×#121C2314yes—
433C2×#121C2314yes—
434C2×#121C2312yes—
435C2×#121C2312yes—
436C2×#120C2314yes—
437C2×#120C2314yes—
438C2×#120C2312yes—
439C2×#120C2314yes—
440C2×#120C2314yes—
441C2×#120C2314yes—
442C2×#120C2314yes—
443#518—216no—
444C4×#41—28no—
445C2×C4×Q8C2311yescharacteristic
446C2×C4×Q8C2312yes—
447C2×C4×Q8C2311yescharacteristic
448C2×C4×Q8C2311yescharacteristic
449C2×C4×D4—28no—
450C2×C4×D4—48no—
451C2×C4×D4—48no—
452C2×C4×D4C2312yes—
453C2×C4×D4C2311yescharacteristic
454C2×C4×D4C2312yes—
455C2×C4×D4C2311yescharacteristic
456C2×C4×D4C2311yescharacteristic
457C2×C4×D4C2314yes—
458C2×C4×D4C2312yes—
459C2×C4×D4C2314yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2311yescharacteristic
463C2×C4×D4C2312yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2312yes—
467C2×C4×D4C2311yescharacteristic
468C2×C4×D4C2312yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2311yescharacteristic
471C2×C4×D4C2312yes—
472C2×C4×D4C2312yes—
473C2×C4×D4C2312yes—
474C2×C4×D4C2311yescharacteristic
475C2×C4×D4C2311yescharacteristic
476C2×C4×D4C2312yes—
477C2×C4×D4C2311yescharacteristic
478C2×C4×D4C2312yes—
479C2×C4×D4C2312yes—
480C2×C4×D4C2312yes—
481C2×C4×D4C2311yescharacteristic
482C2×C4×D4C2314yes—
483C2×C4×D4C2312yes—
484C2×C4×D4C2314yes—
485C2×C4×D4C2312yes—
486C2×C4×D4C2311yescharacteristic
487C2×C4×D4C2314yes—
488C2×C4×D4C2312yes—
489C2×C4×D4C2314yes—
490C2×C4×D4C2311yescharacteristic
491C2×C4×D4C2312yes—
492C2×C4×D4C2311yescharacteristic
493C2×C4×D4C2311yescharacteristic
494C2×#117C2312yes—
495C2×#117C2312yes—
496C2×#117C2312yes—
497C2×#117C2314yes—
498C2×#117C2311yescharacteristic
499C22×C4⋊C4C2312yes—
500C22×C4⋊C4C2311yescharacteristic
501C22×C4⋊C4C2312yes—
502C22×C4⋊C4C2312yes—
503C22×C4⋊C4C2312yes—
504C22×C4⋊C4C2314yes—
505C22×C4⋊C4C2314yes—
506C22×C22⋊C4C2314yes—
507C22×C22⋊C4C2314yes—
508C22×C22⋊C4C2312yes—
509C22×C22⋊C4C2312yes—
510C22×C22⋊C4C2314yes—
511C22×C22⋊C4C2314yes—
512C22×C22⋊C4C2314yes—
513C22×C22⋊C4C2314yes—
514C22×C22⋊C4C2312yes—
515C22×C22⋊C4C2314yes—
516C22×C22⋊C4C2314yes—
517C22×C22⋊C4C2314yes—
518C22×C22⋊C4C2314yes—
519C22×C42C2312yes—
520C22×C42C2311yescharacteristic
521C22×C42C2311yescharacteristic
522C22×C42C2312yes—
523C22×C42C2312yes—
524#400C2314yes—
525#400C2314yes—
526#400C2312yes—
527#400C2314yes—
528#400C2314yes—
529#399C2312yes—
530#399C2314yes—
531#398C2314yes—
532#398C2312yes—
533#398C2314yes—
534#398C2314yes—
535#398C2314yes—
536#398C2314yes—
537#398C2314yes—
538#397C2314yes—
539#397C2314yes—
540#397C2314yes—
541#397C2314yes—
542#397C2314yes—
543#397C2312yes—
544#397C2314yes—
545#397C2314yes—
546#397C2314yes—
547#397C2314yes—
548#397C2314yes—
549#397C2314yes—
550#397C2312yes—
551#397C2312yes—
552#397C2314yes—
553#397C2314yes—
554#397C2314yes—
555#397C2314yes—
556#397C2314yes—
557#397C2314yes—
558#396C2314yes—
559#396C2314yes—
560#396C2314yes—
561#396C2314yes—
562#396C2314yes—
563#396C2314yes—
564#395C2314yes—
565#395C2312yes—
566#395C2314yes—
567#394C2314yes—
568#394C2314yes—
569#394C2314yes—
570#394C2314yes—
571#394C2314yes—
572#394C2314yes—
573#394C2312yes—
574#394C2314yes—
575#394C2314yes—
576#394C2314yes—
577#394C2312yes—
578#394C2314yes—
579#394C2314yes—
580#394C2314yes—
581#394C2314yes—
582#394C2314yes—
583#394C2314yes—
584#394C2312yes—
585#394C2312yes—
586#394C2312yes—
587#394C2314yes—
588#394C2314yes—
589#394C2314yes—
590#394C2314yes—
591#394C2314yes—
592#393C2312yes—
593#393C2314yes—
594#393C2314yes—
595#393C2314yes—
596#392C2312yes—
597#392C2314yes—
598#392C2314yes—
599#392C2314yes—
600#392C2312yes—
601#392C2312yes—
602#391C2312yes—
603#391C2312yes—
604#391C2314yes—
605#391C2312yes—
606#391C2312yes—
607#391C2312yes—
608#391C2312yes—
609#391C2312yes—
610#391C2312yes—
611#391C2312yes—
612#391C2311yescharacteristic
613#391C2312yes—
614#391C2312yes—
615#391C2311yescharacteristic
616#391C2312yes—
617#391C2312yes—
618#391C2311yescharacteristic
619#391C2311yescharacteristic
620#391C2314yes—
621#391C2314yes—
622#390C2312yes—
623#390C2312yes—
624#390C2312yes—
625#390C2311yescharacteristic
626#390C2312yes—
627#390C2314yes—
628#390C2311yescharacteristic
629#390C2312yes—
630#390C2311yescharacteristic
631#390C2312yes—
632#390C2312yes—
633#390C2312yes—
634#390C2312yes—
635#390C2312yes—
636#390C2311yescharacteristic
637#390C2312yes—
638#390C2312yes—
639#389C2312yes—
640#389C2312yes—
641#389C2312yes—
642#389C2312yes—
643#389C2312yes—
644#389C2314yes—
645#389C2314yes—
646#389C2312yes—
647#389C2312yes—
648#389C2312yes—
649#389C2311yescharacteristic
650#389C2311yescharacteristic
651#389C2312yes—
652#389C2311yescharacteristic
653#389C2312yes—
654#389C2314yes—
655#389C2312yes—
656#389C2314yes—
657#389C2311yescharacteristic
658#389C2312yes—
659#388C2314yes—
660#388C2314yes—
661#388C2312yes—
662#388C2314yes—
663#388C2312yes—
664#388C2312yes—
665#388C2312yes—
666#388C2312yes—
667#388C2314yes—
668#388C2314yes—
669#388C2312yes—
670#388C2312yes—
671#388C2314yes—
672#388C2314yes—
673#388C2312yes—
674#388C2312yes—
675#388C2312yes—
676#388C2312yes—
677#388C2312yes—
678#387C2312yes—
679#387C2312yes—
680#387C2312yes—
681#387C2314yes—
682#387C2314yes—
683#387C2314yes—
684#387C2312yes—
685#386C2312yes—
686#386C2314yes—
687#386C2312yes—
688#386C2312yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2312yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2312yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2314yes—
715#386C2314yes—
716#386C2314yes—
717#386C2314yes—
718#386C2314yes—
719#386C2312yes—
720#386C2314yes—
721#386C2314yes—
722#386C2312yes—
723#386C2312yes—
724#386C2314yes—
725#386C2312yes—
726#386C2314yes—
727#386C2312yes—
728#386C2312yes—
729#386C2312yes—
730#386C2314yes—
731#386C2312yes—
732#386C2312yes—
733#385C2314yes—
734#385C2314yes—
735#385C2314yes—
736#385C2312yes—
737#385C2312yes—
738#385C2314yes—
739#385C2314yes—
740#385C2314yes—
741#385C2314yes—
742#385C2312yes—
743#385C2312yes—
744#385C2314yes—
745#385C2314yes—
746#385C2314yes—
747#385C2314yes—
748#385C2312yes—
749#385C2314yes—
750#385C2314yes—
751#385C2314yes—
752#385C2314yes—
753#385C2314yes—
754#385C2312yes—
755#384C2311yescharacteristic
756#384C2312yes—
757#382C2312yes—
758#382C2312yes—
759#382C2311yescharacteristic
760#382C2312yes—
761#382C2311yescharacteristic
762#381C2314yes—
763#381C2314yes—
764#381C2314yes—
765#381C2314yes—
766#381C2312yes—
767#381C2314yes—
768#381C2314yes—
769#381C2314yes—
770#381C2314yes—
771#380C2311yescharacteristic
772#380C2312yes—
773#380C2312yes—
774#380C2314yes—
775#380C2312yes—
776#380C2314yes—
777#380C2314yes—
778#380C2314yes—
779#380C2314yes—
780#380C2311yescharacteristic
781#380C2312yes—
782#380C2312yes—
783#380C2312yes—
784#380C2312yes—
785#380C2311yescharacteristic
786#380C2312yes—
787#380C2312yes—
788#380C2314yes—
789#380C2314yes—
790#380C2312yes—
791#380C2312yes—
792#380C2311yescharacteristic
793#380C2314yes—
794#380C2314yes—
795#380C2314yes—
796#380C2314yes—
797#380C2314yes—
798#380C2312yes—
799#379C2312yes—
800#379C2314yes—
801#379C2314yes—
802#379C2314yes—
803#379C2314yes—
804#379C2314yes—
805#379C2314yes—
806#379C2314yes—
807C4×C4⋊C4C2311yescharacteristic
808C4×C4⋊C4C2311yescharacteristic
809C4×C4⋊C4C2312yes—
810C4×C4⋊C4C2311yescharacteristic
811C4×C4⋊C4C2311yescharacteristic
812C4×C4⋊C4C2312yes—
813C4×C4⋊C4C2311yescharacteristic
814C4×C4⋊C4C2311yescharacteristic
815C4×C4⋊C4C2311yescharacteristic
816C4×C4⋊C4C2311yescharacteristic
817C4×C4⋊C4C2311yescharacteristic
818C4×C22⋊C4C2311yescharacteristic
819C4×C22⋊C4C2312yes—
820C4×C22⋊C4C2314yes—
821C4×C22⋊C4C2314yes—
822C4×C22⋊C4C2312yes—
823C4×C22⋊C4C2312yes—
824C4×C22⋊C4C2312yes—
825C4×C22⋊C4C2312yes—
826C4×C22⋊C4C2312yes—
827C4×C22⋊C4C2311yescharacteristic
828C4×C22⋊C4C2311yescharacteristic
829C4×C22⋊C4C2312yes—
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2311yescharacteristic
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2314yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2311yescharacteristic
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2312yes—
842C4×C22⋊C4C2311yescharacteristic
843C4×C22⋊C4C2312yes—
844C4×C22⋊C4C2312yes—
845C2×#95C2314yes—
846C2×#95C2314yes—
847C2×#95C2314yes—
848C2×#95C2314yes—
849C2×#95C2312yes—
850C2×#95C2314yes—
851C2×#95C2312yes—
852C43C2311yescharacteristic
853C25C2414yes—
854C25C2414yes—
855C25C2412yes—
856H(5,𝔽2)—4128no—
857C2×#41—24no—
858C2×#41—28no—
859C2×#41—28no—
860C2×#41—216no—
861C2×#41—28no—
862C2×#41—24no—
863C2×#41—28no—
864C2×#41—216no—
865C2×#41—28no—
866C2×#41—24no—
867C2×#41—28no—
868C2×#41—28no—
869C2×#41—28no—
870C2×#41—28no—
871C2×#41—28no—
872C2×#41—44no—
873C2×#41—48no—
874C2×#41—44no—
875C2×#41—44no—
876C2×#41—44no—
877C2×#41—44no—
878C22×Q8—28no—
879C22×Q8—44no—
880C22×Q8—44no—
881C22×Q8C2411yescharacteristic
882C22×Q8C2411yescharacteristic
883C22×Q8C2412yes—
884C22×Q8C2412yes—
885C22×Q8C2412yes—
886C22×Q8C2414yes—
887C22×D4—24no—
888C22×D4—28no—
889C22×D4—28no—
890C22×D4—24no—
891C22×D4—216no—
892C22×D4—216no—
893C22×D4—216no—
894C22×D4—216no—
895C22×D4—216no—
896C22×D4—28no—
897C22×D4—28no—
898C22×D4—216no—
899C22×D4—28no—
900C22×D4—44no—
901C22×D4—44no—
902C22×D4—44no—
903C22×D4—44no—
904C22×D4—44no—
905C22×D4—48no—
906C22×D4—48no—
907C22×D4—48no—
908C22×D4C2×D4116yes—
909C22×D4C2×D4116yes—
910C22×D4#4118yescomplemented
911C22×D4C2412yes—
912C22×D4C2411yescharacteristic
913C22×D4C2414yes—
914C22×D4C2414yes—
915C22×D4C2414yes—
916C22×D4C2414yes—
917C22×D4C2412yes—
918C22×D4C2412yes—
919C22×D4C2412yes—
920C22×D4C2411yescharacteristic
921C22×D4C2414yes—
922C22×D4C2412yes—
923C22×D4C2412yes—
924C22×D4C2412yes—
925C22×D4C2411yescharacteristic
926C22×D4C2411yescharacteristic
927C22×D4C2412yes—
928C22×D4C2412yes—
929C22×D4C2412yes—
930C22×D4C2412yes—
931C22×D4C2414yes—
932C22×D4C2414yes—
933C22×D4C2412yes—
934C22×D4C2414yes—
935C22×D4C2411yescharacteristic
936C23×C4—28no—
937C23×C4—48no—
938C23×C4—44no—
939C23×C4—44no—
940C23×C4—48no—
941C23×C4—48no—
942C23×C4C2412yes—
943C23×C4C2414yes—
944C23×C4C2412yes—
945C23×C4C2411yescharacteristic
946C23×C4C2411yescharacteristic
947C23×C4C2412yes—
948C23×C4C2411yescharacteristic
949C23×C4C2414yes—
950C23×C4C2414yes—
951C23×C4C2412yes—
952C23×C4C2412yes—
953C23×C4C2414yes—
954C23×C4C2412yes—
955C23×C4C2412yes—
956C23×C4C2411yescharacteristic
957C23×C4C2414yes—
958C23×C4C2412yes—
959C23×C4C2412yes—
960C23×C4C2412yes—
961C23×C4C2414yes—
962C23×C4C2414yes—
963C23×C4C2412yes—
964C23×C4C2411yescharacteristic
965C23×C4C2412yes—
966C23×C4C2414yes—
967C23×C4C2414yes—
968C23×C4C2411yescharacteristic
969C23×C4C2412yes—
970C23×C4C2414yes—
971C4⋊Q8—24no—
972C4⋊Q8—28no—
973C4⋊Q8—24no—
974C4⋊Q8—24no—
975C4⋊Q8—44no—
976#127—24no—
977#127C2×D418yes—
978#126—216no—
979#126—28no—
980#126—216no—
981#125—24no—
982#124—24no—
983#124—28no—
984#124—216no—
985#124—28no—
986#124—28no—
987#124—216no—
988#124—28no—
989#124—28no—
990#124—24no—
991#124—28no—
992#124—216no—
993#124—42no—
994#124—44no—
995#123—216no—
996#123—216no—
997#123—216no—
998#123—216no—
999#123—28no—
1000#123—28no—
1001#123—216no—
1002#123—216no—
1003#123—216no—
1004#123—48no—
1005#123—48no—
1006#123—48no—
1007C22⋊Q8—28no—
1008C22⋊Q8—28no—
1009C22⋊Q8—28no—
1010C22⋊Q8—24no—
1011C22⋊Q8—24no—
1012C22⋊Q8—28no—
1013C22⋊Q8—24no—
1014C22⋊Q8—28no—
1015C22⋊Q8—216no—
1016C22⋊Q8—216no—
1017C22⋊Q8—216no—
1018C22⋊Q8—48no—
1019C22⋊Q8—48no—
1020C22⋊Q8—44no—
1021C22⋊Q8—44no—
1022C22⋊Q8—44no—
1023C22⋊Q8—44no—
1024C22⋊Q8—44no—
1025#121—28no—
1026#121—24no—
1027#121—216no—
1028#121—28no—
1029#121—28no—
1030#121—216no—
1031#121—216no—
1032#121—24no—
1033#121—28no—
1034#121—28no—
1035#121—28no—
1036#121—28no—
1037#121—216no—
1038#121—216no—
1039#121—216no—
1040#121—24no—
1041#121—28no—
1042#121—28no—
1043#121—24no—
1044#121—24no—
1045#121—216no—
1046#121—28no—
1047#121—44no—
1048#121—48no—
1049#121—48no—
1050#121C2×D4116yes—
1051#121C2×D4116yes—
1052#120—216no—
1053#120—216no—
1054#120—28no—
1055#120—216no—
1056#120—216no—
1057#120—48no—
1058#120C2×D4132yes—
1059C4×Q8—24no—
1060C4×Q8—28no—
1061C4×Q8—24no—
1062C4×Q8—24no—
1063C4×D4—24no—
1064C4×D4—24no—
1065C4×D4—216no—
1066C4×D4—28no—
1067C4×D4—28no—
1068C4×D4—216no—
1069C4×D4—28no—
1070C4×D4—28no—
1071C4×D4—28no—
1072C4×D4—28no—
1073C4×D4—28no—
1074C4×D4—24no—
1075C4×D4—24no—
1076C4×D4—28no—
1077C4×D4—28no—
1078C4×D4—28no—
1079C4×D4—28no—
1080C4×D4—28no—
1081C4×D4—24no—
1082C4×D4—24no—
1083C4×D4—24no—
1084C4×D4—28no—
1085C4×D4—28no—
1086C4×D4—28no—
1087C4×D4—24no—
1088C4×D4—24no—
1089C4×D4—42no—
1090C4×D4—44no—
1091C4×D4—44no—
1092C4×D4—44no—
1093C4×D4—44no—
1094C4×D4—42no—
1095C4×D4—44no—
1096C4×D4—42no—
1097C4×D4—44no—
1098C4×D4—44no—
1099C4×D4—48no—
1100C4×D4—48no—
1101C4×D4—48no—
1102C4×D4—48no—
1103C4×D4C2×D418yes—
1104C4×D4C2×D418yes—
1105#117—28no—
1106#117—28no—
1107#117—24no—
1108#117—28no—
1109#117—216no—
1110C2×C4⋊C4—28no—
1111C2×C4⋊C4—24no—
1112C2×C4⋊C4—28no—
1113C2×C4⋊C4—28no—
1114C2×C4⋊C4—44no—
1115C2×C4⋊C4—48no—
1116C2×C4⋊C4—48no—
1117C2×C4⋊C4C2411yescharacteristic
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2411yescharacteristic
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2411yescharacteristic
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2414yes—
1126C2×C4⋊C4C2414yes—
1127C2×C4⋊C4C2414yes—
1128C2×C4⋊C4C2414yes—
1129C2×C4⋊C4C2411yescharacteristic
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2412yes—
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2414yes—
1137C2×C4⋊C4C2411yescharacteristic
1138C2×C4⋊C4C2412yes—
1139C2×C4⋊C4C2411yescharacteristic
1140C2×C4⋊C4C2412yes—
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2411yescharacteristic
1143C2×C4⋊C4C2411yescharacteristic
1144C2×C4⋊C4C2414yes—
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2412yes—
1147C2×C4⋊C4C2412yes—
1148C2×C4⋊C4C2414yes—
1149C2×C4⋊C4C2414yes—
1150C2×C4⋊C4C2414yes—
1151C2×C4⋊C4C2414yes—
1152C2×C4⋊C4C2414yes—
1153C2×C4⋊C4C2414yes—
1154C2×C4⋊C4C2412yes—
1155C2×C4⋊C4C2411yescharacteristic
1156C2×C4⋊C4C2411yescharacteristic
1157C2×C4⋊C4C2412yes—
1158C2×C4⋊C4C2412yes—
1159C2×C4⋊C4C2414yes—
1160C2×C4⋊C4C2414yes—
1161C2×C4⋊C4C2412yes—
1162C2×C4⋊C4C2411yescharacteristic
1163C2×C4⋊C4C2411yescharacteristic
1164C2×C4⋊C4C2411yescharacteristic
1165C2×C22⋊C4—216no—
1166C2×C22⋊C4—216no—
1167C2×C22⋊C4—216no—
1168C2×C22⋊C4—216no—
1169C2×C22⋊C4—28no—
1170C2×C22⋊C4—28no—
1171C2×C22⋊C4—216no—
1172C2×C22⋊C4—44no—
1173C2×C22⋊C4—48no—
1174C2×C22⋊C4—48no—
1175C2×C22⋊C4—48no—
1176C2×C22⋊C4—48no—
1177C2×C22⋊C4—48no—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2411yescharacteristic
1190C2×C22⋊C4C2411yescharacteristic
1191C2×C22⋊C4C2414yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2414yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2414yes—
1200C2×C22⋊C4C2414yes—
1201C2×C22⋊C4C2414yes—
1202C2×C22⋊C4C2414yes—
1203C2×C22⋊C4C2414yes—
1204C2×C22⋊C4C2414yes—
1205C2×C22⋊C4C2414yes—
1206C2×C22⋊C4C2414yes—
1207C2×C22⋊C4C2414yes—
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2414yes—
1210C2×C22⋊C4C2412yes—
1211C2×C22⋊C4C2412yes—
1212C2×C22⋊C4C2412yes—
1213C2×C22⋊C4C2414yes—
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2414yes—
1216C2×C22⋊C4C2412yes—
1217C2×C22⋊C4C2412yes—
1218C2×C22⋊C4C2411yescharacteristic
1219C2×C22⋊C4C2411yescharacteristic
1220C2×C22⋊C4C2412yes—
1221C2×C22⋊C4C2412yes—
1222C2×C22⋊C4C2414yes—
1223C2×C22⋊C4C2414yes—
1224C2×C22⋊C4C2414yes—
1225C2×C22⋊C4C2414yes—
1226C2×C22⋊C4C2414yes—
1227C2×C22⋊C4C2414yes—
1228C2×C22⋊C4C2414yes—
1229C2×C22⋊C4C2412yes—
1230C2×C22⋊C4C2412yes—
1231C2×C22⋊C4C2414yes—
1232C2×C22⋊C4C2414yes—
1233C2×C22⋊C4C2412yes—
1234C2×C22⋊C4C2412yes—
1235C2×C22⋊C4C2412yes—
1236C2×C22⋊C4C2411yescharacteristic
1237C2×C22⋊C4C2412yes—
1238C2×C22⋊C4C2411yescharacteristic
1239C2×C22⋊C4C2414yes—
1240C2×C22⋊C4C2414yes—
1241C2×C22⋊C4C2414yes—
1242C2×C22⋊C4C2414yes—
1243C2×C22⋊C4C2414yes—
1244C2×C22⋊C4C2412yes—
1245C2×C22⋊C4C2412yes—
1246C2×C22⋊C4C2412yes—
1247C2×C22⋊C4C2412yes—
1248C2×C22⋊C4C2414yes—
1249C2×C22⋊C4C2412yes—
1250C2×C22⋊C4C2412yes—
1251C2×C22⋊C4C2412yes—
1252C2×C22⋊C4C2414yes—
1253C2×C22⋊C4C2412yes—
1254C2×C42—28no—
1255C2×C42—24no—
1256C2×C42—24no—
1257C2×C42—44no—
1258C2×C42—44no—
1259C2×C42C2412yes—
1260C2×C42C2411yescharacteristic
1261C2×C42C2414yes—
1262C2×C42C2411yescharacteristic
1263C2×C42C2412yes—
1264C2×C42C2411yescharacteristic
1265C2×C42C2411yescharacteristic
1266C2×C42C2411yescharacteristic
1267C2×C42C2412yes—
1268C2×C42C2412yes—
1269C2×C42C2411yescharacteristic
1270C2×C42C2411yescharacteristic
1271C2×C42C2411yescharacteristic
1272C2×C42C2412yes—
1273C2×C42C2411yescharacteristic
1274C2×C42C2411yescharacteristic
1275C2×C42C2412yes—
1276C2×C42C2411yescharacteristic
1277C2×C42C2412yes—
1278C2×C42C2412yes—
1279C2×C42C2412yes—
1280C2×C42C2412yes—
1281C2×C42C2411yescharacteristic
1282C2×C42C2411yescharacteristic
1283#95C2411yescharacteristic
1284#95C2411yescharacteristic
1285#95C2411yescharacteristic
1286#95C2412yes—
1287#95C2414yes—
1288#95C2412yes—
1289#95C2414yes—
1290#95C2412yes—
1291#95C2412yes—
1292#95C2412yes—
1293#95C2412yes—
1294#95C2412yes—
1295#95C2412yes—
1296#95C2412yes—
1297#95C2412yes—
1298#95C2412yes—
1299#95C2414yes—
1300#95C2414yes—
1301#95C2414yes—
1302#95C2414yes—
1303#95C2414yes—
1304#95C2414yes—
1305#95C2414yes—
1306#95C2414yes—
1307#95C2414yes—
1308#95C2414yes—
1309#95C2411yescharacteristic
1310#95C2411yescharacteristic
1311#95C2411yescharacteristic
1312#95C2412yes—
1313#95C2412yes—
1314#95C2412yes—
1315#95C2412yes—
1316#95C2412yes—
1317#95C2412yes—
1318#95C2412yes—
1319#95C2414yes—
1320#95C2412yes—
1321#95C2414yes—
1322#95C2414yes—
1323#95C2412yes—
1324#95C2414yes—
1325#95C2412yes—
1326#95C2412yes—
1327#95C2412yes—
1328#95C2412yes—
1329#95C2412yes—
1330#95C2412yes—
1331#95C2414yes—
1332#95C2414yes—
1333#95C2414yes—
1334#95C2414yes—
1335C24—24no—
1336C24—28no—
1337C24—28no—
1338C24—24no—
1339C24—28no—
1340C24—28no—
1341C24—42no—
1342C24—44no—
1343C24—42no—
1344C24—42no—
1345C24—44no—
1346C24—44no—
1347C24—42no—
1348C24—44no—
1349C24—44no—
1350C24—44no—
1351C24—44no—
1352C24—44no—
1353C24—44no—
1354C24C22×D4116yes—
1355C24C2×#4118yes—
1356C24C2512yes—
1357C24C2511yescharacteristic
1358C24C2512yes—
1359C24C2514yes—
1360C24C2512yes—
1361C24C2511yescharacteristic
1362C24C2512yes—
1363#41—432no—
1364#41—432no—
1365#41—432no—
1366#41—464no—
1367#41—416no—
1368#41—432no—
1369#41—816no—
1370C2×Q8—22no—
1371C2×Q8—22no—
1372C2×Q8—24no—
1373C2×Q8—24no—
1374C2×Q8—24no—
1375C2×Q8—28no—
1376C2×Q8—22no—
1377C2×Q8—24no—
1378C2×Q8—24no—
1379C2×Q8—22no—
1380C2×Q8—24no—
1381C2×Q8—22no—
1382C2×Q8—24no—
1383C2×Q8—24no—
1384C2×Q8—22no—
1385C2×Q8—42no—
1386C2×Q8—44no—
1387C2×Q8—44no—
1388C2×Q8—816no—
1389C2×D4—24no—
1390C2×D4—28no—
1391C2×D4—28no—
1392C2×D4—24no—
1393C2×D4—264no—
1394C2×D4—232no—
1395C2×D4—24no—
1396C2×D4—28no—
1397C2×D4—28no—
1398C2×D4—28no—
1399C2×D4—24no—
1400C2×D4—28no—
1401C2×D4—24no—
1402C2×D4—22no—
1403C2×D4—24no—
1404C2×D4—24no—
1405C2×D4—28no—
1406C2×D4—28no—
1407C2×D4—24no—
1408C2×D4—28no—
1409C2×D4—28no—
1410C2×D4—24no—
1411C2×D4—28no—
1412C2×D4—24no—
1413C2×D4—24no—
1414C2×D4—28no—
1415C2×D4—28no—
1416C2×D4—24no—
1417C2×D4—22no—
1418C2×D4—22no—
1419C2×D4—24no—
1420C2×D4—24no—
1421C2×D4—24no—
1422C2×D4—22no—
1423C2×D4—24no—
1424C2×D4—24no—
1425C2×D4—22no—
1426C2×D4—22no—
1427C2×D4—24no—
1428C2×D4—22no—
1429C2×D4—24no—
1430C2×D4—22no—
1431C2×D4—432no—
1432C2×D4—44no—
1433C2×D4—42no—
1434C2×D4—41no—
1435C2×D4—41no—
1436C2×D4—42no—
1437C2×D4—42no—
1438C2×D4—44no—
1439C2×D4—42no—
1440C2×D4—44no—
1441C2×D4—44no—
1442C2×D4—44no—
1443C2×D4—42no—
1444C2×D4—42no—
1445C2×D4—42no—
1446C2×D4—44no—
1447C2×D4—44no—
1448C2×D4—42no—
1449C2×D4—42no—
1450C2×D4—42no—
1451C2×D4—44no—
1452C2×D4—42no—
1453C2×D4—42no—
1454C2×D4—42no—
1455C2×D4—44no—
1456C2×D4—432no—
1457C2×D4—464no—
1458C2×D4—464no—
1459C2×D4—464no—
1460C2×D4—816no—
1461C2×D4C22×D4116yes—
1462C2×D4C22×D418yes—
1463C2×D4C22×D418yes—
1464C2×D4C22×D414yes—
1465C2×D4C22×D418yes—
1466C2×D4C22×D4116yes—
1467C2×D4C22×D414yes—
1468C2×D4C2×#4118yes—
1469C2×D4C2×#4114yes—
1470C2×D4C2×#4114yes—
1471C2×D4H(5,𝔽2)14yes—
1472C22×C4—22no—
1473C22×C4—24no—
1474C22×C4—24no—
1475C22×C4—24no—
1476C22×C4—22no—
1477C22×C4—24no—
1478C22×C4—24no—
1479C22×C4—28no—
1480C22×C4—28no—
1481C22×C4—24no—
1482C22×C4—28no—
1483C22×C4—28no—
1484C22×C4—24no—
1485C22×C4—28no—
1486C22×C4—28no—
1487C22×C4—24no—
1488C22×C4—24no—
1489C22×C4—24no—
1490C22×C4—28no—
1491C22×C4—28no—
1492C22×C4—28no—
1493C22×C4—24no—
1494C22×C4—22no—
1495C22×C4—22no—
1496C22×C4—22no—
1497C22×C4—28no—
1498C22×C4—24no—
1499C22×C4—24no—
1500C22×C4—22no—
1501C22×C4—28no—
1502C22×C4—24no—
1503C22×C4—28no—
1504C22×C4—24no—
1505C22×C4—22no—
1506C22×C4—22no—
1507C22×C4—24no—
1508C22×C4—24no—
1509C22×C4—22no—
1510C22×C4—24no—
1511C22×C4—22no—
1512C22×C4—22no—
1513C22×C4—24no—
1514C22×C4—24no—
1515C22×C4—22no—
1516C22×C4—22no—
1517C22×C4—24no—
1518C22×C4—24no—
1519C22×C4—28no—
1520C22×C4—28no—
1521C22×C4—42no—
1522C22×C4—42no—
1523C22×C4—44no—
1524C22×C4—44no—
1525C22×C4—44no—
1526C22×C4—42no—
1527C22×C4—42no—
1528C22×C4—44no—
1529C22×C4—44no—
1530C22×C4—44no—
1531C22×C4—42no—
1532C22×C4—44no—
1533C22×C4—42no—
1534C22×C4—44no—
1535C22×C4—44no—
1536C22×C4—44no—
1537C22×C4—44no—
1538C22×C4—41no—
1539C22×C4—41no—
1540C22×C4—42no—
1541C22×C4—42no—
1542C22×C4—42no—
1543C22×C4—44no—
1544C22×C4—42no—
1545C22×C4—42no—
1546C22×C4—44no—
1547C22×C4—42no—
1548C22×C4—41no—
1549C22×C4—41no—
1550C22×C4—42no—
1551C22×C4—42no—
1552C22×C4—42no—
1553C22×C4—44no—
1554C22×C4—44no—
1555C22×C4—44no—
1556C22×C4—816no—
1557C22×C4—832no—
1558C22×C4C22×D418yes—
1559C22×C4C22×D418yes—
1560C22×C4C2×#4114yes—
1561C22×C4C2511yescharacteristic
1562C22×C4C2511yescharacteristic
1563C22×C4C2511yescharacteristic
1564C22×C4C2512yes—
1565C22×C4C2512yes—
1566C22×C4C2512yes—
1567C22×C4C2514yes—
1568C22×C4C2512yes—
1569C22×C4C2511yescharacteristic
1570C22×C4C2512yes—
1571C22×C4C2511yescharacteristic
1572C22×C4C2512yes—
1573C22×C4C2511yescharacteristic
1574C22×C4C2511yescharacteristic
1575C22×C4C2512yes—
1576C22×C4C2514yes—
1577C22×C4C2514yes—
1578C22×C4C2512yes—
1579C22×C4C2511yescharacteristic
1580C22×C4C2512yes—
1581C22×C4C2511yescharacteristic
1582C22×C4C2512yes—
1583C22×C4C2512yes—
1584C22×C4C2511yescharacteristic
1585C22×C4C2512yes—
1586C22×C4C2511yescharacteristic
1587C22×C4C2511yescharacteristic
1588C22×C4C2511yescharacteristic
1589C4⋊C4—22no—
1590C4⋊C4—24no—
1591C4⋊C4—24no—
1592C4⋊C4—22no—
1593C4⋊C4—28no—
1594C4⋊C4—28no—
1595C4⋊C4—22no—
1596C4⋊C4—24no—
1597C4⋊C4—24no—
1598C4⋊C4—24no—
1599C4⋊C4—24no—
1600C4⋊C4—24no—
1601C4⋊C4—24no—
1602C4⋊C4—28no—
1603C4⋊C4—22no—
1604C4⋊C4—24no—
1605C4⋊C4—24no—
1606C4⋊C4—24no—
1607C4⋊C4—28no—
1608C4⋊C4—24no—
1609C4⋊C4—22no—
1610C4⋊C4—22no—
1611C4⋊C4—24no—
1612C4⋊C4—28no—
1613C4⋊C4—24no—
1614C4⋊C4—22no—
1615C4⋊C4—24no—
1616C4⋊C4—24no—
1617C4⋊C4—28no—
1618C4⋊C4—22no—
1619C4⋊C4—42no—
1620C4⋊C4—44no—
1621C4⋊C4—44no—
1622C4⋊C4—44no—
1623C4⋊C4—44no—
1624C4⋊C4—44no—
1625C4⋊C4—44no—
1626C4⋊C4—42no—
1627C4⋊C4—42no—
1628C4⋊C4—41no—
1629C4⋊C4—41no—
1630C4⋊C4—42no—
1631C4⋊C4—42no—
1632C4⋊C4—44no—
1633C4⋊C4—44no—
1634C4⋊C4C22×D414yes—
1635C4⋊C4C22×D414yes—
1636C4⋊C4H(5,𝔽2)14yescomplemented
1637C22⋊C4—24no—
1638C22⋊C4—24no—
1639C22⋊C4—28no—
1640C22⋊C4—24no—
1641C22⋊C4—24no—
1642C22⋊C4—28no—
1643C22⋊C4—24no—
1644C22⋊C4—28no—
1645C22⋊C4—24no—
1646C22⋊C4—28no—
1647C22⋊C4—28no—
1648C22⋊C4—28no—
1649C22⋊C4—28no—
1650C22⋊C4—28no—
1651C22⋊C4—28no—
1652C22⋊C4—28no—
1653C22⋊C4—28no—
1654C22⋊C4—28no—
1655C22⋊C4—22no—
1656C22⋊C4—24no—
1657C22⋊C4—24no—
1658C22⋊C4—24no—
1659C22⋊C4—24no—
1660C22⋊C4—24no—
1661C22⋊C4—24no—
1662C22⋊C4—28no—
1663C22⋊C4—24no—
1664C22⋊C4—24no—
1665C22⋊C4—24no—
1666C22⋊C4—28no—
1667C22⋊C4—24no—
1668C22⋊C4—24no—
1669C22⋊C4—24no—
1670C22⋊C4—22no—
1671C22⋊C4—24no—
1672C22⋊C4—28no—
1673C22⋊C4—24no—
1674C22⋊C4—24no—
1675C22⋊C4—28no—
1676C22⋊C4—24no—
1677C22⋊C4—22no—
1678C22⋊C4—24no—
1679C22⋊C4—22no—
1680C22⋊C4—42no—
1681C22⋊C4—44no—
1682C22⋊C4—42no—
1683C22⋊C4—42no—
1684C22⋊C4—44no—
1685C22⋊C4—44no—
1686C22⋊C4—44no—
1687C22⋊C4—44no—
1688C22⋊C4—44no—
1689C22⋊C4—44no—
1690C22⋊C4—44no—
1691C22⋊C4—44no—
1692C22⋊C4—42no—
1693C22⋊C4—42no—
1694C22⋊C4—44no—
1695C22⋊C4—42no—
1696C22⋊C4—42no—
1697C22⋊C4—42no—
1698C22⋊C4—44no—
1699C22⋊C4—41no—
1700C22⋊C4—41no—
1701C22⋊C4—42no—
1702C22⋊C4—42no—
1703C22⋊C4—42no—
1704C22⋊C4—44no—
1705C22⋊C4—44no—
1706C22⋊C4—44no—
1707C22⋊C4—44no—
1708C22⋊C4—42no—
1709C22⋊C4—42no—
1710C22⋊C4C22×D418yes—
1711C22⋊C4C22×D4116yes—
1712C22⋊C4C22×D418yes—
1713C42—22no—
1714C42—24no—
1715C42—22no—
1716C42—22no—
1717C42—22no—
1718C42—22no—
1719C42—22no—
1720C42—24no—
1721C42—24no—
1722C42—28no—
1723C42—24no—
1724C42—22no—
1725C42—22no—
1726C42—22no—
1727C42—24no—
1728C42—24no—
1729C42—22no—
1730C42—22no—
1731C42—42no—
1732C42—42no—
1733C42—42no—
1734C42—42no—
1735C42—41no—
1736C42C22×D414yes—
1737C23—22no—
1738C23—22no—
1739C23—22no—
1740C23—22no—
1741C23—22no—
1742C23—21no—
1743C23—22no—
1744C23—24no—
1745C23—21no—
1746C23—22no—
1747C23—22no—
1748C23—24no—
1749C23—24no—
1750C23—22no—
1751C23—21no—
1752C23—22no—
1753C23—22no—
1754C23—21no—
1755C23—22no—
1756C23—24no—
1757C23—21no—
1758C23—22no—
1759C23—22no—
1760C23—24no—
1761C23—21no—
1762C23—24no—
1763C23—22no—
1764C23—22no—
1765C23—216no—
1766C23—232no—
1767C23—21no—
1768C23—22no—
1769C23—21no—
1770C23—22no—
1771C23—22no—
1772C23—21no—
1773C23—22no—
1774C23—21no—
1775C23—22no—
1776C23—21no—
1777C23—22no—
1778C23—21no—
1779C23—22no—
1780C23—21no—
1781C23—416no—
1782C23—416no—
1783C23—48no—
1784C23—48no—
1785C23—416no—
1786C23—88no—
1787C23—84no—
1788C23—88no—
1789C23—84no—
1790C23—84no—
1791C23—88no—
1792C23—88no—
1793C23—84no—
1794C23—88no—
1795C23—88no—
1796C23—88no—
1797C23—88no—
1798C23—164no—
1799C23—164no—
1800C23C23×D414yes—
1801C23C23×D418yes—
1802C23C23×D414yes—
1803C23C22×#4114yes—
1804C23C22×#4112yes—
1805C23C22×#4114yes—
1806C23C2×H(5,𝔽2)14yes—
1807C23C2611yescharacteristic
1808Q8—48no—
1809Q8—44no—
1810Q8—48no—
1811Q8—44no—
1812Q8—48no—
1813Q8—88no—
1814D4—216no—
1815D4—232no—
1816D4—28no—
1817D4—216no—
1818D4—28no—
1819D4—216no—
1820D4—416no—
1821D4—48no—
1822D4—48no—
1823D4—48no—
1824D4—48no—
1825D4—416no—
1826D4—416no—
1827D4—416no—
1828D4—44no—
1829D4—416no—
1830D4—48no—
1831D4—44no—
1832D4—84no—
1833D4—84no—
1834D4—84no—
1835D4—84no—
1836D4—88no—
1837D4—88no—
1838D4#546116yescomplemented
1839C2×C4—21no—
1840C2×C4—22no—
1841C2×C4—21no—
1842C2×C4—21no—
1843C2×C4—22no—
1844C2×C4—22no—
1845C2×C4—22no—
1846C2×C4—21no—
1847C2×C4—21no—
1848C2×C4—22no—
1849C2×C4—22no—
1850C2×C4—21no—
1851C2×C4—216no—
1852C2×C4—28no—
1853C2×C4—216no—
1854C2×C4—21no—
1855C2×C4—22no—
1856C2×C4—21no—
1857C2×C4—21no—
1858C2×C4—21no—
1859C2×C4—22no—
1860C2×C4—21no—
1861C2×C4—22no—
1862C2×C4—22no—
1863C2×C4—24no—
1864C2×C4—22no—
1865C2×C4—22no—
1866C2×C4—24no—
1867C2×C4—21no—
1868C2×C4—21no—
1869C2×C4—22no—
1870C2×C4—21no—
1871C2×C4—22no—
1872C2×C4—22no—
1873C2×C4—24no—
1874C2×C4—21no—
1875C2×C4—21no—
1876C2×C4—22no—
1877C2×C4—22no—
1878C2×C4—22no—
1879C2×C4—21no—
1880C2×C4—24no—
1881C2×C4—24no—
1882C2×C4—22no—
1883C2×C4—22no—
1884C2×C4—24no—
1885C2×C4—21no—
1886C2×C4—22no—
1887C2×C4—22no—
1888C2×C4—22no—
1889C2×C4—24no—
1890C2×C4—21no—
1891C2×C4—21no—
1892C2×C4—21no—
1893C2×C4—21no—
1894C2×C4—22no—
1895C2×C4—21no—
1896C2×C4—22no—
1897C2×C4—21no—
1898C2×C4—22no—
1899C2×C4—24no—
1900C2×C4—22no—
1901C2×C4—22no—
1902C2×C4—21no—
1903C2×C4—21no—
1904C2×C4—24no—
1905C2×C4—22no—
1906C2×C4—21no—
1907C2×C4—21no—
1908C2×C4—22no—
1909C2×C4—22no—
1910C2×C4—21no—
1911C2×C4—22no—
1912C2×C4—22no—
1913C2×C4—21no—
1914C2×C4—48no—
1915C2×C4—416no—
1916C2×C4—48no—
1917C2×C4—416no—
1918C2×C4—416no—
1919C2×C4—416no—
1920C2×C4—48no—
1921C2×C4—48no—
1922C2×C4—44no—
1923C2×C4—44no—
1924C2×C4—48no—
1925C2×C4—44no—
1926C2×C4—82no—
1927C2×C4—82no—
1928C2×C4—88no—
1929C2×C4—88no—
1930C2×C4—84no—
1931C2×C4—84no—
1932C2×C4—84no—
1933C2×C4—84no—
1934C2×C4—88no—
1935C2×C4—84no—
1936C2×C4—88no—
1937C2×C4—88no—
1938C2×C4—84no—
1939C2×C4—88no—
1940C2×C4C23×D412yes—
1941C2×C4C23×D414yes—
1942C2×C4C23×D414yes—
1943C2×C4C23×D412yes—
1944C2×C4C23×D412yes—
1945C2×C4C22×#4112yes—
1946C2×C4C22×#4112yes—
1947C2×C4C2×H(5,𝔽2)14yes—
1948C2×C4C2×H(5,𝔽2)12yes—
1949C2×C4C2×H(5,𝔽2)12yes—
1950C2×C4#58512yes—
1951C2×C4#58512yes—
1952C22—24no—
1953C22—24no—
1954C22—24no—
1955C22—24no—
1956C22—24no—
1957C22—24no—
1958C22—24no—
1959C22—22no—
1960C22—28no—
1961C22—24no—
1962C22—28no—
1963C22—24no—
1964C22—22no—
1965C22—24no—
1966C22—22no—
1967C22—24no—
1968C22—24no—
1969C22—28no—
1970C22—42no—
1971C22—44no—
1972C22—41no—
1973C22—42no—
1974C22—42no—
1975C22—44no—
1976C22—41no—
1977C22—42no—
1978C22—41no—
1979C22—42no—
1980C22—42no—
1981C22—44no—
1982C22—42no—
1983C22—41no—
1984C22—44no—
1985C22—42no—
1986C22—41no—
1987C22—42no—
1988C22—41no—
1989C22—42no—
1990C22—41no—
1991C22—42no—
1992C22—41no—
1993C22—42no—
1994C22—41no—
1995C22—42no—
1996C22—41no—
1997C22—42no—
1998C22—42no—
1999C22—41no—
2000C22—832no—
2001C22—816no—
2002C22—1616no—
2003C22C2×#54618yes—
2004C22C24×D411yescharacteristic
2005C22C23×#4111yescharacteristic
2006C22C22×H(5,𝔽2)11yescharacteristic
2007C22C22×H(5,𝔽2)11yescharacteristic
2008C22C2×#58511yescharacteristic
2009C22C2×#58511yescharacteristic
2010C222−1+611yescharacteristic
2011C4—22no—
2012C4—22no—
2013C4—24no—
2014C4—24no—
2015C4—22no—
2016C4—24no—
2017C4—41no—
2018C4—42no—
2019C4—42no—
2020C4—41no—
2021C4—42no—
2022C4—41no—
2023C4—44no—
2024C4—42no—
2025C4—41no—
2026C4—41no—
2027C4—42no—
2028C4—44no—
2029C4—42no—
2030C4—41no—
2031C4—42no—
2032C4—41no—
2033C4—41no—
2034C4—42no—
2035C4—44no—
2036C4—42no—
2037C4C2×#54614yes—
2038C4#349614yes—
2039C2—28no—
2040C2—42no—
2041C2—44no—
2042C2—48no—
2043C2—44no—
2044C2—81no—
2045C2—82no—
2046C2C22×#54611yescharacteristic
2047C2C2×#349611yescharacteristic
2048C2#6278111yescharacteristic
2049C2#6292111yescharacteristic
2050C2#6298411yescharacteristic
2051C2#6298811yescharacteristic
2052C2#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×#3496C2semidirect
3. #59568C2semidirect
4. #59420C2semidirect
5. #59409C2semidirect
6. #59311C2semidirect
7. #59064C2semidirect
8. #59035C2semidirect
9. #59031C2semidirect
10. #58996C2semidirect
11. #45108C2semidirect
12. #44885C2semidirect
13. #43489C2semidirect
14. #43016C2semidirect
15. #39468C2semidirect
16. #39466C2semidirect
17. #39432C2semidirect
18. #39428C2semidirect
19. #38908C2semidirect
20. #38906C2semidirect
21. #36406C2semidirect
22. #36303C2semidirect
23. #36259C2semidirect
24. #36214C2semidirect
25. #36153C2semidirect
26. #36149C2semidirect
27. #36107C2semidirect
28. D4×C22⋊Q8C2semidirect
29. #35791C2semidirect
30. #35750C2semidirect
31. #34889C2semidirect
32. C2×#2427C2semidirect
33. #34256C2semidirect
34. C4×#546C2semidirect
35. C4×D42C2semidirect
39. C2×#559C22semidirect
40. C2×#556C22semidirect
41. C2×#555C22semidirect
42. C2×#551C22semidirect
43. C2×D4×Q8C22semidirect
44. C2×#548C22semidirect
48. C2×#547C22semidirect
53. C2×#546C22semidirect
54. C2×#546C22semidirect
55. C2×#546C22semidirect
59. C2×#542C22semidirect
60. C2×#538C22semidirect
65. C2×#532C22semidirect
66. C2×#529C22semidirect
67. C2×#529C22semidirect
68. C22×#124C22semidirect
69. C22×C22⋊Q8C22semidirect
72. C2×#518C22semidirect
73. C2×C4×#41C22semidirect
75. C22×C4×D4C22semidirect
76. C22×C4×D4C22semidirect
77. #2862C22semidirect
78. #2857C22semidirect
79. #2857C22semidirect
80. #2857C22semidirect
81. #2854C22semidirect
82. #2850C22semidirect
83. #2848C22semidirect
84. #2847C22semidirect
85. #2715C22semidirect
86. #2708C22semidirect
87. #2708C22semidirect
88. #2708C22semidirect
89. #2700C22semidirect
90. #2697C22semidirect
91. #2695C22semidirect
92. #2695C22semidirect
93. #2693C22semidirect
94. #2691C22semidirect
95. #2689C22semidirect
96. #2688C22semidirect
97. #2688C22semidirect
98. #2687C22semidirect
99. #2686C22semidirect
100. #2686C22semidirect
101. #2684C22semidirect
102. #2684C22semidirect
103. #2681C22semidirect
104. #2676C22semidirect
105. #2668C22semidirect
106. #2625C22semidirect
107. #2622C22semidirect
108. #2616C22semidirect
109. #2613C22semidirect
110. #2568C22semidirect
111. #2559C22semidirect
112. #2559C22semidirect
113. #2557C22semidirect
114. #2557C22semidirect
115. #2553C22semidirect
116. #2553C22semidirect
117. #2550C22semidirect
118. #2549C22semidirect
119. #2547C22semidirect
120. #2547C22semidirect
121. #2546C22semidirect
122. #2544C22semidirect
123. #2544C22semidirect
124. #2543C22semidirect
125. #2542C22semidirect
126. #2540C22semidirect
127. #2538C22semidirect
128. #2538C22semidirect
129. #2537C22semidirect
130. #2535C22semidirect
131. #2535C22semidirect
132. #2535C22semidirect
133. #2534C22semidirect
134. #2534C22semidirect
135. #2521C22semidirect
136. #2503C22semidirect
137. #2499C22semidirect
138. #2492C22semidirect
139. #2492C22semidirect
140. #2492C22semidirect
141. #2490C22semidirect
142. #2488C22semidirect
143. #2488C22semidirect
144. #2486C22semidirect
145. #2486C22semidirect
146. #2485C22semidirect
147. #2483C22semidirect
148. #2480C22semidirect
149. #2476C22semidirect
150. #2472C22semidirect
151. #2470C22semidirect
152. #2464C22semidirect
153. #2452C22semidirect
154. #2451C22semidirect
155. #2449C22semidirect
156. #2447C22semidirect
157. #2447C22semidirect
158. #2447C22semidirect
159. #2447C22semidirect
160. #2444C22semidirect
161. #2443C22semidirect
162. #2442C22semidirect
163. #2440C22semidirect
164. #2438C22semidirect
165. #2437C22semidirect
166. #2437C22semidirect
167. #2436C22semidirect
168. #2435C22semidirect
169. #2435C22semidirect
170. #2435C22semidirect
171. #2432C22semidirect
172. #2432C22semidirect
173. #2430C22semidirect
174. #2429C22semidirect
175. #2428C22semidirect
176. #2427C22semidirect
177. #2427C22semidirect
178. #2427C22semidirect
179. #2427C22semidirect
180. #2427C22semidirect
181. #2427C22semidirect
182. #2427C22semidirect
183. #2427C22semidirect
184. #2427C22semidirect
185. #2427C22semidirect
186. #2427C22semidirect
187. #2427C22semidirect
188. #2427C22semidirect
189. #2427C22semidirect
190. #2427C22semidirect
191. #2426C22semidirect
192. #2425C22semidirect
193. #2425C22semidirect
194. #2425C22semidirect
195. #2425C22semidirect
196. #2424C22semidirect
197. #2422C22semidirect
198. #2420C22semidirect
199. #2420C22semidirect
200. #2420C22semidirect
201. #2420C22semidirect
202. #2420C22semidirect
203. #2419C22semidirect
204. #2419C22semidirect
205. #2419C22semidirect
206. #2418C22semidirect
207. #2417C22semidirect
208. #2417C22semidirect
209. #2417C22semidirect
210. #2417C22semidirect
211. #2416C22semidirect
212. #2416C22semidirect
213. #2415C22semidirect
214. #2413C22semidirect
215. #2412C22semidirect
216. #2412C22semidirect
217. #2412C22semidirect
218. #2410C22semidirect
219. #2410C22semidirect
220. #2409C22semidirect
221. #2408C22semidirect
222. #2407C22semidirect
223. #2407C22semidirect
224. #2407C22semidirect
225. #2407C22semidirect
226. #2406C22semidirect
227. #2405C22semidirect
228. #2405C22semidirect
229. #2395C22semidirect
230. C2×#397C22semidirect
231. #2388C22semidirect
232. C2×#394C22semidirect
233. #2367C22semidirect
234. #2366C22semidirect
235. #2364C22semidirect
236. #2363C22semidirect
237. #2361C22semidirect
238. #2361C22semidirect
239. #2360C22semidirect
240. #2360C22semidirect
241. #2360C22semidirect
242. #2359C22semidirect
243. #2358C22semidirect
244. #2358C22semidirect
245. #2352C22semidirect
246. #2349C22semidirect
247. #2349C22semidirect
248. #2349C22semidirect
249. D4×C4⋊C4C22semidirect
250. D4×C4⋊C4C22semidirect
251. D4×C4⋊C4C22semidirect
252. #2342C22semidirect
253. #2342C22semidirect
254. #2339C22semidirect
255. #2339C22semidirect
256. #2339C22semidirect
257. #2339C22semidirect
258. #2339C22semidirect
259. #2339C22semidirect
260. #2339C22semidirect
261. #2339C22semidirect
262. #2339C22semidirect
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×#124C22semidirect
278. C4×#124C22semidirect
279. C4×C22⋊Q8C22semidirect
280. C4×C22⋊Q8C22semidirect
281. C4×#123C22semidirect
282. C4×#121C22semidirect
283. C4×#121C22semidirect
284. C4×#121C22semidirect
285. C4×#121C22semidirect
286. C4×#121C22semidirect
287. C4×#121C22semidirect
288. C4×#120C22semidirect
289. C4×#120C22semidirect
290. #2297C22semidirect
291. #2297C22semidirect
292. C2×#391C22semidirect
293. C2×#389C22semidirect
294. C2×#386C22semidirect
295. C2×#386C22semidirect
296. C2×#380C22semidirect
297. C42×D4C22semidirect
298. C42×D4C22semidirect
299. C42×D4C22semidirect
300. C2×C4×C22⋊C4C22semidirect
341. D42D4semidirect
910. C22×D4#41semidirect
1636. C4⋊C4H(5,𝔽2)semidirect
1838. D4#546semidirect

Maximal subgroups

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

subgroupindex
C2×#35142
C2×#34962
#595682
#594202
#594092
#593112
#590642
#590352
#590312
#589962
#451082
#448852
#434892
#430162
#394682
#394662
#394322
#394282
#389082
#389062
#364062
#363032
#362592
#362142
#361532
#361492
#361072
D4×C22⋊Q82
#357912
#357502
#348892
C2×#24272
#342562
C4×#5462
C4×D422