Finite Group Databasebeta

← D4×#553 #7699480

Subgroups — D4×#553 #7699480

Order 512.

8489 conjugacy classes of subgroups.

The subgroup lattice has 2016 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#553C212yesmaximal, complemented
2#59826C212yesmaximal, complemented
3#59693C212yesmaximal, complemented
4#59680C211yesmaximal, characteristic, complemented
5#59392C212yesmaximal, complemented
6#59304C211yesmaximal, characteristic, complemented
7#59213C211yesmaximal, characteristic, complemented
8#59190C214yesmaximal, complemented
9#59167C214yesmaximal, complemented
10#59142C214yesmaximal, complemented
11#59139C212yesmaximal, complemented
12#59028C212yesmaximal, complemented
13#59013C212yesmaximal, complemented
14#36596C211yesmaximal, characteristic, complemented
15#36581C212yesmaximal, complemented
16#36472C211yesmaximal, characteristic, complemented
17#36468C211yesmaximal, characteristic, complemented
18#36440C212yesmaximal, complemented
19#36438C212yesmaximal, complemented
20#36263C212yesmaximal, complemented
21#36221C214yesmaximal, complemented
22#36182C211yesmaximal, characteristic, complemented
23#36157C212yesmaximal, complemented
24D4×#126C212yesmaximal, complemented
25D4×#125C211yesmaximal, characteristic, complemented
26D4×#123C212yesmaximal, complemented
27D4×#121C211yesmaximal, characteristic, complemented
28D4×#121C211yesmaximal, characteristic, complemented
29D4×#121C212yesmaximal, complemented
30C4×#553C211yesmaximal, characteristic, complemented
31C4×D42C211yesmaximal, characteristic, complemented
32C4×D42C211yesmaximal, characteristic, complemented
33C4×D42C212yesmaximal, complemented
34D4×#117C211yesmaximal, characteristic, complemented
35C2×D4×C4⋊C4C211yesmaximal, characteristic, complemented
36C2×#553—232no—
37C2×#553C2211yescharacteristic
38C2×#553C2214yescomplemented
39C2×#553C2212yescomplemented
40C2×#553C2214yescomplemented
41C2×#553C2214yescomplemented
42C2×#553C2212yescomplemented
43C2×#553C2212yescomplemented
44C2×#553C2212yescomplemented
45C2×#553C2212yescomplemented
46C2×#553C2214yescomplemented
47C2×#553C2212yescomplemented
48C2×#553C2212yescomplemented
49C2×D42C2211yescharacteristic
50C2×D42C2212yes—
51C2×D42C2211yescharacteristic
52C2×D42C2212yes—
53C22×#126C2214yescomplemented
54C22×#125C2212yescomplemented
55C22×#123C2214yescomplemented
56C22×#121C2214yescomplemented
57C22×#121C2212yescomplemented
58C22×#121C2212yescomplemented
59C22×C4×D4C2211yescharacteristic
60C22×C4×D4C2211yescharacteristic
61C22×C4×D4C2212yes—
62C22×C4×D4C2212yes—
63C22×C4×D4C2212yescomplemented
64C22×C4×D4C2212yescomplemented
65C22×C4×D4C2214yescomplemented
66C22×#117C2212yescomplemented
67C23×C4⋊C4C2212yescomplemented
68#2860C2212yescomplemented
69#2859C2211yescharacteristic, complemented
70#2856C2211yescharacteristic, complemented
71#2856C2211yescharacteristic, complemented
72#2856C2212yescomplemented
73#2854C2212yescomplemented
74#2852C2214yescomplemented
75#2851C2212yescomplemented
76#2849C2214yescomplemented
77#2847C2212yescomplemented
78#2847C2212yescomplemented
79#2847C2214yescomplemented
80#2725C2214yescomplemented
81#2718C2214yescomplemented
82#2714C2214yescomplemented
83#2711C2214yescomplemented
84#2708C2214yescomplemented
85#2703C2214yescomplemented
86#2701C2214yescomplemented
87#2691C2214yescomplemented
88#2688C2214yescomplemented
89#2603C2214yescomplemented
90#2602C2214yescomplemented
91#2602C2214yescomplemented
92#2601C2214yescomplemented
93#2600C2214yescomplemented
94#2598C2214yescomplemented
95#2591C2214yescomplemented
96#2579C2214yescomplemented
97#2566C2212yescomplemented
98#2562C2212yescomplemented
99#2559C2214yescomplemented
100#2559C2214yescomplemented
101#2558C2214yescomplemented
102#2554C2214yescomplemented
103#2552C2211yescharacteristic, complemented
104#2552C2211yescharacteristic, complemented
105#2543C2214yescomplemented
106#2543C2214yescomplemented
107#2541C2212yescomplemented
108#2541C2211yescharacteristic, complemented
109#2541C2211yescharacteristic, complemented
110#2537C2212yescomplemented
111#2537C2211yescharacteristic, complemented
112#2537C2211yescharacteristic, complemented
113#2535C2212yescomplemented
114#2535C2212yescomplemented
115#2512C2212yescomplemented
116#2512C2212yescomplemented
117#2512C2212yescomplemented
118#2512C2212yescomplemented
119#2506C2212yescomplemented
120#2506C2212yescomplemented
121#2504C2212yescomplemented
122#2501C2212yescomplemented
123#2500C2212yescomplemented
124#2496C2212yescomplemented
125#2496C2212yescomplemented
126#2496C2212yescomplemented
127#2490C2212yescomplemented
128#2490C2212yescomplemented
129#2487C2212yescomplemented
130#2486C2212yescomplemented
131#2485C2212yescomplemented
132#2481C2214yescomplemented
133#2481C2214yescomplemented
134#2481C2214yescomplemented
135#2481C2214yescomplemented
136#2480C2214yescomplemented
137#2480C2214yescomplemented
138#2480C2214yescomplemented
139#2476C2214yescomplemented
140#2473C2214yescomplemented
141#2473C2214yescomplemented
142#2470C2214yescomplemented
143#2468C2214yescomplemented
144#2467C2214yescomplemented
145#2466C2214yescomplemented
146#2464C2214yescomplemented
147#2464C2214yescomplemented
148#2460C2214yescomplemented
149#2457C2214yescomplemented
150#2456C2214yescomplemented
151#2456C2214yescomplemented
152#2445C2212yescomplemented
153#2445C2212yescomplemented
154#2444C2214yescomplemented
155#2444C2214yescomplemented
156#2443C2214yescomplemented
157#2443C2214yescomplemented
158#2443C2214yescomplemented
159#2443C2214yescomplemented
160#2442C2212yescomplemented
161#2442C2212yescomplemented
162#2442C2212yescomplemented
163#2441C2212yescomplemented
164#2428C2212yescomplemented
165#2428C2212yescomplemented
166#2428C2212yescomplemented
167#2428C2212yescomplemented
168#2424C2214yescomplemented
169#2424C2214yescomplemented
170#2424C2214yescomplemented
171#2424C2214yescomplemented
172#2422C2212yescomplemented
173#2422C2212yescomplemented
174#2422C2212yescomplemented
175#2422C2212yescomplemented
176#2420C2212yescomplemented
177#2418C2214yescomplemented
178#2418C2214yescomplemented
179#2416C2212yescomplemented
180#2416C2214yescomplemented
181#2416C2212yescomplemented
182#2416C2212yescomplemented
183#2416C2212yescomplemented
184#2416C2212yescomplemented
185#2416C2212yescomplemented
186#2416C2212yescomplemented
187#2416C2212yescomplemented
188#2416C2212yescomplemented
189#2414C2212yescomplemented
190#2414C2212yescomplemented
191#2412C2214yescomplemented
192#2410C2214yescomplemented
193#2410C2214yescomplemented
194#2410C2214yescomplemented
195#2410C2214yescomplemented
196#2408C2214yescomplemented
197#2408C2212yescomplemented
198#2408C2212yescomplemented
199#2405C2214yescomplemented
200#2374C2212yescomplemented
201#2373C2212yescomplemented
202#2370C2211yescharacteristic, complemented
203#2366C2212yescomplemented
204#2366C2211yescharacteristic, complemented
205#2366C2211yescharacteristic, complemented
206#2364C2212yescomplemented
207#2364C2214yescomplemented
208#2363C2212yescomplemented
209#2363C2211yescharacteristic, complemented
210#2361C2211yescharacteristic, complemented
211#2361C2214yescomplemented
212#2361C2212yescomplemented
213#2361C2212yescomplemented
214#2361C2212yescomplemented
215#2361C2212yescomplemented
216#2361C2212yescomplemented
217#2361C2212yescomplemented
218#2361C2212yescomplemented
219#2361C2211yescharacteristic, complemented
220#2361C2211yescharacteristic, complemented
221#2358C2214yescomplemented
222#2358C2214yescomplemented
223#2358C2212yescomplemented
224#2358C2214yescomplemented
225#2358C2212yescomplemented
226#2357C2211yescharacteristic, complemented
227#2354C2211yescharacteristic, complemented
228#2354C2211yescharacteristic, complemented
229#2353C2212yescomplemented
230#2352C2212yescomplemented
231#2352C2211yescharacteristic, complemented
232#2352C2212yescomplemented
233#2352C2212yescomplemented
234D4×C4⋊C4C2212yes—
235D4×C4⋊C4C2211yescharacteristic
236D4×C4⋊C4C2211yescharacteristic
237D4×C4⋊C4C2212yes—
238D4×C4⋊C4C2211yescharacteristic
239D4×C4⋊C4C2212yes—
240D4×C4⋊C4C2211yescharacteristic
241D4×C4⋊C4C2212yescomplemented
242D4×C4⋊C4C2212yescomplemented
243D4×C4⋊C4C2214yescomplemented
244D4×C4⋊C4C2211yescharacteristic, complemented
245D4×C4⋊C4C2212yescomplemented
246D4×C4⋊C4C2211yescharacteristic, complemented
247D4×C4⋊C4C2211yescharacteristic, complemented
248D4×C4⋊C4C2212yescomplemented
249D4×C4⋊C4C2211yescharacteristic, complemented
250#2347C2211yescharacteristic, complemented
251#2345C2211yescharacteristic, complemented
252#2344C2212yescomplemented
253#2342C2214yescomplemented
254D4×C22⋊C4C2212yes—
255D4×C22⋊C4C2212yes—
256D4×C22⋊C4C2212yes—
257D4×C22⋊C4C2212yes—
258D4×C22⋊C4C2211yescharacteristic
259D4×C22⋊C4C2211yescharacteristic
260D4×C22⋊C4C2212yescomplemented
261D4×C22⋊C4C2214yescomplemented
262D4×C22⋊C4C2212yescomplemented
263C4×#127C2211yescharacteristic, complemented
264C4×#127C2211yescharacteristic, complemented
265C4×#127C2212yescomplemented
266C4×#125C2211yescharacteristic, complemented
267C4×#126C2212yescomplemented
268C4×#123C2212yescomplemented
269C4×#121C2212yescomplemented
270C4×#121C2212yescomplemented
271C4×#121C2212yescomplemented
272C4×#121C2212yescomplemented
273C4×#121C2214yescomplemented
274C4×#121C2211yescharacteristic, complemented
275C4×#121C2211yescharacteristic, complemented
276C4×#121C2211yescharacteristic, complemented
277C4×#121C2212yescomplemented
278C4×#121C2211yescharacteristic, complemented
279C4×#121C2212yescomplemented
280C4×#120C2214yescomplemented
281C4×#120C2214yescomplemented
282C4×#120C2214yescomplemented
283C4×#120C2212yescomplemented
284C4×#120C2212yescomplemented
285#2293C2212yescomplemented
286C2×#389C2212yescomplemented
287#2290C2214yescomplemented
288C2×#385C2214yescomplemented
289#2285C2211yescharacteristic, complemented
290C2×#384C2211yescharacteristic, complemented
291#2280C2212yescomplemented
292C2×#380C2212yescomplemented
293C42×D4C2211yescharacteristic
294C42×D4C2212yes—
295C42×D4C2211yescharacteristic, complemented
296C42×D4C2211yescharacteristic, complemented
297C42×D4C2212yescomplemented
298C4×#117C2211yescharacteristic, complemented
299C2×C4×C4⋊C4C2211yescharacteristic, complemented
300C23×D4C2311yescharacteristic
301C23×D4C2312yes—
302C23×D4C2312yes—
303C23×D4C2312yes—
304C23×D4C2314yes—
305C23×D4C2311yescharacteristic
306C23×D4C2314yes—
307C24×C4C2312yes—
308C24×C4C2312yes—
309C24×C4C2314yes—
310C24×C4C2314yes—
311#553—232no—
312#553—216no—
313#553—232no—
314#553—216no—
315#553—232no—
316#553—216no—
317#553—216no—
318#553—232no—
319#553—216no—
320#553—216no—
321#553—216no—
322#553D4116yesdirect product factor
323D42—28no—
324D42—216no—
325D42—28no—
326D42—48no—
327C2×#127C2311yescharacteristic
328C2×#127C2311yescharacteristic
329C2×#127C2312yes—
330C2×#127C2312yes—
331C2×#126—232no—
332C2×#126C2314yes—
333C2×#126C2314yes—
334C2×#126C2314yes—
335C2×#126C2314yes—
336C2×#126C2314yes—
337C2×#126C2314yes—
338C2×#126C2314yes—
339C2×#126C2312yes—
340C2×#125—216no—
341C2×#125C2312yes—
342C2×#125C2312yes—
343C2×#125C2312yes—
344C2×#125C2314yes—
345C2×#125C2314yes—
346C2×#125C2311yescharacteristic
347C2×#123—232no—
348C2×#123C2314yes—
349C2×#123C2314yes—
350C2×#123C2314yes—
351C2×#123C2314yes—
352C2×#123C2314yes—
353C2×#123C2314yes—
354C2×#123C2314yes—
355C2×#123C2314yes—
356C2×#123C2312yes—
357C2×#121—232no—
358C2×#121—216no—
359C2×#121—216no—
360C2×#121C2314yes—
361C2×#121C2312yes—
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2311yescharacteristic
366C2×#121C2314yes—
367C2×#121C2312yes—
368C2×#121C2312yes—
369C2×#121C2311yescharacteristic
370C2×#121C2312yes—
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2314yes—
374C2×#121C2314yes—
375C2×#121C2314yes—
376C2×#121C2314yes—
377C2×#121C2314yes—
378C2×#121C2312yes—
379C2×#121C2312yes—
380C2×#121C2314yes—
381C2×#121C2314yes—
382C2×#121C2314yes—
383C2×#121C2314yes—
384C2×#121C2314yes—
385C2×#121C2312yes—
386C2×#121C2312yes—
387C2×#121C2314yes—
388C2×#121C2312yes—
389C2×#121C2312yes—
390C2×#121C2314yes—
391C2×#121C2312yes—
392C2×#121C2314yes—
393C2×#121C2312yes—
394C2×#121C2311yescharacteristic
395C2×#121C2311yescharacteristic
396C2×#121C2312yes—
397C2×#120C2314yes—
398C2×#120C2312yes—
399C2×#120C2314yes—
400C2×#120C2312yes—
401C2×#120C2314yes—
402C2×#120C2314yes—
403C2×#120C2314yes—
404C2×C4×D4—232no—
405C2×C4×D4—216no—
406C2×C4×D4—216no—
407C2×C4×D4—28no—
408C2×C4×D4—28no—
409C2×C4×D4—48no—
410C2×C4×D4—48no—
411C2×C4×D4C2312yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2314yes—
414C2×C4×D4C2311yescharacteristic
415C2×C4×D4C2311yescharacteristic
416C2×C4×D4C2314yes—
417C2×C4×D4C2311yescharacteristic
418C2×C4×D4C2311yescharacteristic
419C2×C4×D4C2311yescharacteristic
420C2×C4×D4C2312yes—
421C2×C4×D4C2312yes—
422C2×C4×D4C2311yescharacteristic
423C2×C4×D4C2312yes—
424C2×C4×D4C2312yes—
425C2×C4×D4C2314yes—
426C2×C4×D4C2312yes—
427C2×C4×D4C2314yes—
428C2×C4×D4C2314yes—
429C2×C4×D4C2312yes—
430C2×C4×D4C2311yescharacteristic
431C2×C4×D4C2312yes—
432C2×C4×D4C2312yes—
433C2×C4×D4C2311yescharacteristic
434C2×C4×D4C2311yescharacteristic
435C2×C4×D4C2312yes—
436C2×C4×D4C2314yes—
437C2×C4×D4C2312yes—
438C2×C4×D4C2312yes—
439C2×C4×D4C2314yes—
440C2×C4×D4C2312yes—
441C2×C4×D4C2314yes—
442C2×C4×D4C2312yes—
443C2×C4×D4C2311yescharacteristic
444C2×C4×D4C2314yes—
445C2×C4×D4C2312yes—
446C2×C4×D4C2312yes—
447C2×C4×D4C2312yes—
448C2×C4×D4C2312yes—
449C2×C4×D4C2312yes—
450C2×C4×D4C2312yes—
451C2×C4×D4C2312yes—
452C2×C4×D4C2311yescharacteristic
453C2×C4×D4C2312yes—
454C2×C4×D4C2311yescharacteristic
455C2×C4×D4C2314yes—
456C2×C4×D4C2312yes—
457C2×C4×D4C2314yes—
458C2×C4×D4C2314yes—
459C2×C4×D4C2314yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2314yes—
463C2×C4×D4C2311yescharacteristic
464C2×C4×D4C2312yes—
465C2×C4×D4C2311yescharacteristic
466C2×C4×D4C2311yescharacteristic
467C2×#117—216no—
468C2×#117C2314yes—
469C2×#117C2314yes—
470C2×#117C2312yes—
471C2×#117C2312yes—
472C2×#117C2312yes—
473C2×#117C2311yescharacteristic
474C2×#117C2311yescharacteristic
475C22×C4⋊C4—216no—
476C22×C4⋊C4C2314yes—
477C22×C4⋊C4C2311yescharacteristic
478C22×C4⋊C4C2312yes—
479C22×C4⋊C4C2312yes—
480C22×C4⋊C4C2314yes—
481C22×C4⋊C4C2312yes—
482C22×C4⋊C4C2314yes—
483C22×C4⋊C4C2312yes—
484C22×C4⋊C4C2314yes—
485C22×C4⋊C4C2312yes—
486C22×C4⋊C4C2312yes—
487C22×C4⋊C4C2314yes—
488C22×C4⋊C4C2311yescharacteristic
489C22×C4⋊C4C2312yes—
490C22×C4⋊C4C2312yes—
491C22×C4⋊C4C2312yes—
492C22×C4⋊C4C2311yescharacteristic
493C22×C4⋊C4C2312yes—
494C22×C4⋊C4C2311yescharacteristic
495C22×C22⋊C4C2314yes—
496C22×C22⋊C4C2312yes—
497C22×C22⋊C4C2314yes—
498C22×C22⋊C4C2314yes—
499C22×C22⋊C4C2312yes—
500C22×C22⋊C4C2314yes—
501C22×C22⋊C4C2312yes—
502C22×C22⋊C4C2312yes—
503C22×C22⋊C4C2314yes—
504C22×C22⋊C4C2314yes—
505C22×C42C2312yes—
506C22×C42C2314yes—
507C22×C42C2311yescharacteristic
508C22×C42C2311yescharacteristic
509C22×C42C2312yes—
510C22×C42C2312yes—
511#400C2314yes—
512#400C2314yes—
513#400C2314yes—
514#400C2314yes—
515#400C2314yes—
516#399C2314yes—
517#399C2314yes—
518#398C2314yes—
519#398C2314yes—
520#398C2314yes—
521#398C2314yes—
522#398C2314yes—
523#397C2314yes—
524#397C2314yes—
525#397C2314yes—
526#397C2314yes—
527#397C2314yes—
528#397C2314yes—
529#397C2314yes—
530#397C2314yes—
531#397C2314yes—
532#396C2314yes—
533#396C2314yes—
534#396C2314yes—
535#396C2314yes—
536#396C2314yes—
537#396C2314yes—
538#396C2314yes—
539#394C2314yes—
540#394C2314yes—
541#394C2314yes—
542#394C2314yes—
543#394C2314yes—
544#394C2314yes—
545#394C2314yes—
546#394C2314yes—
547#394C2314yes—
548#394C2314yes—
549#394C2314yes—
550#394C2314yes—
551#394C2314yes—
552#394C2314yes—
553#394C2314yes—
554#394C2314yes—
555#394C2314yes—
556#394C2314yes—
557#392C2314yes—
558#392C2314yes—
559#392C2314yes—
560#392C2314yes—
561#392C2314yes—
562#392C2314yes—
563#392C2314yes—
564#392C2314yes—
565#390C2311yescharacteristic
566#390C2311yescharacteristic
567#390C2312yes—
568#390C2311yescharacteristic
569#390C2312yes—
570#390C2312yes—
571#390C2314yes—
572#390C2312yes—
573#390C2312yes—
574#390C2314yes—
575#390C2312yes—
576#390C2312yes—
577#390C2312yes—
578#390C2312yes—
579#390C2312yes—
580#390C2312yes—
581#390C2312yes—
582#390C2312yes—
583#390C2312yes—
584#390C2311yescharacteristic
585#390C2312yes—
586#390C2314yes—
587#390C2312yes—
588#390C2314yes—
589#390C2312yes—
590#390C2314yes—
591#390C2312yes—
592#390C2311yescharacteristic
593#390C2311yescharacteristic
594#390C2312yes—
595#389C2311yescharacteristic
596#389C2311yescharacteristic
597#389C2312yes—
598#389C2312yes—
599#389C2312yes—
600#389C2312yes—
601#389C2312yes—
602#389C2312yes—
603#389C2311yescharacteristic
604#389C2314yes—
605#389C2312yes—
606#389C2311yescharacteristic
607#389C2312yes—
608#389C2312yes—
609#389C2312yes—
610#389C2312yes—
611#389C2311yescharacteristic
612#389C2312yes—
613#389C2312yes—
614#389C2311yescharacteristic
615#389C2314yes—
616#389C2312yes—
617#389C2314yes—
618#389C2312yes—
619#389C2312yes—
620#388C2312yes—
621#388C2312yes—
622#388C2312yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2312yes—
637#388C2314yes—
638#388C2312yes—
639#388C2312yes—
640#388C2312yes—
641#388C2312yes—
642#388C2314yes—
643#388C2314yes—
644#388C2312yes—
645#388C2312yes—
646#388C2312yes—
647#388C2314yes—
648#388C2314yes—
649#388C2312yes—
650#388C2312yes—
651#387C2312yes—
652#387C2312yes—
653#387C2312yes—
654#387C2312yes—
655#387C2312yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2312yes—
664#387C2312yes—
665#386C2314yes—
666#386C2314yes—
667#386C2312yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2312yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2312yes—
685#386C2312yes—
686#386C2314yes—
687#386C2314yes—
688#386C2312yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2312yes—
693#386C2312yes—
694#386C2314yes—
695#386C2312yes—
696#386C2314yes—
697#386C2312yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2312yes—
702#386C2312yes—
703#386C2312yes—
704#386C2314yes—
705#386C2312yes—
706#386C2312yes—
707#386C2312yes—
708#385C2314yes—
709#385C2314yes—
710#385C2312yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2312yes—
718#385C2314yes—
719#385C2314yes—
720#385C2314yes—
721#385C2314yes—
722#385C2312yes—
723#385C2314yes—
724#385C2314yes—
725#385C2314yes—
726#385C2314yes—
727#385C2312yes—
728#385C2314yes—
729#385C2314yes—
730#385C2314yes—
731#385C2314yes—
732#385C2312yes—
733#385C2312yes—
734#385C2314yes—
735#385C2312yes—
736#384C2311yescharacteristic
737#384C2312yes—
738#384C2311yescharacteristic
739#384C2312yes—
740#384C2311yescharacteristic
741#384C2311yescharacteristic
742#384C2312yes—
743#384C2312yes—
744#384C2312yes—
745#383C2312yes—
746#382C2311yescharacteristic
747#382C2312yes—
748#382C2312yes—
749#381C2312yes—
750#381C2314yes—
751#381C2314yes—
752#380C2312yes—
753#380C2312yes—
754#380C2312yes—
755#380C2312yes—
756#380C2312yes—
757#380C2311yescharacteristic
758#380C2311yescharacteristic
759#380C2312yes—
760#380C2312yes—
761#380C2314yes—
762#380C2314yes—
763#380C2312yes—
764#380C2312yes—
765#380C2311yescharacteristic
766#380C2312yes—
767#380C2312yes—
768#380C2311yescharacteristic
769#380C2312yes—
770#380C2314yes—
771#380C2312yes—
772#380C2312yes—
773#380C2314yes—
774#380C2312yes—
775#380C2314yes—
776#380C2312yes—
777#379C2314yes—
778#379C2312yes—
779#379C2312yes—
780#379C2314yes—
781#379C2314yes—
782#379C2314yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2311yescharacteristic
801C4×C4⋊C4C2311yescharacteristic
802C4×C4⋊C4C2311yescharacteristic
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2311yescharacteristic
805C4×C4⋊C4C2312yes—
806C4×C4⋊C4C2311yescharacteristic
807C4×C4⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2311yescharacteristic
814C4×C22⋊C4C2311yescharacteristic
815C4×C22⋊C4C2314yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2314yes—
820C4×C22⋊C4C2311yescharacteristic
821C4×C22⋊C4C2312yes—
822C4×C22⋊C4C2312yes—
823C4×C22⋊C4C2311yescharacteristic
824C4×C22⋊C4C2312yes—
825C4×C22⋊C4C2314yes—
826C4×C22⋊C4C2311yescharacteristic
827C4×C22⋊C4C2312yes—
828C4×C22⋊C4C2312yes—
829C4×C22⋊C4C2311yescharacteristic
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2314yes—
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2314yes—
835C4×C22⋊C4C2314yes—
836C4×C22⋊C4C2314yes—
837#376C2312yes—
838C2×#95C2312yes—
839C2×#95C2314yes—
840C43C2312yes—
841C43C2311yescharacteristic
842C25C2412yes—
843C25C2414yes—
844C25C2412yes—
845C22×D4—24no—
846C22×D4—24no—
847C22×D4—28no—
848C22×D4—216no—
849C22×D4—28no—
850C22×D4—216no—
851C22×D4—28no—
852C22×D4—24no—
853C22×D4—24no—
854C22×D4—28no—
855C22×D4—28no—
856C22×D4—28no—
857C22×D4—24no—
858C22×D4—216no—
859C22×D4—28no—
860C22×D4—44no—
861C22×D4—48no—
862C22×D4—44no—
863C22×D4—48no—
864C22×D4—84no—
865C22×D4#4118yes—
866C22×D4C2412yes—
867C22×D4C2414yes—
868C22×D4C2414yes—
869C22×D4C2412yes—
870C22×D4C2412yes—
871C22×D4C2411yescharacteristic
872C22×D4C2412yes—
873C22×D4C2414yes—
874C22×D4C2412yes—
875C22×D4C2414yes—
876C22×D4C2412yes—
877C22×D4C2414yes—
878C22×D4C2412yes—
879C22×D4C2411yescharacteristic
880C22×D4C2411yescharacteristic
881C22×D4C2412yes—
882C22×D4C2411yescharacteristic
883C22×D4C2412yes—
884C22×D4C2414yes—
885C22×D4C2412yes—
886C22×D4C2414yes—
887C22×D4C2414yes—
888C22×D4C2414yes—
889C22×D4C2414yes—
890C22×D4C2412yes—
891C22×D4C2411yescharacteristic
892C23×C4—28no—
893C23×C4—28no—
894C23×C4—28no—
895C23×C4—28no—
896C23×C4—216no—
897C23×C4—216no—
898C23×C4—44no—
899C23×C4—44no—
900C23×C4—48no—
901C23×C4—48no—
902C23×C4—84no—
903C23×C4—84no—
904C23×C4C2412yes—
905C23×C4C2411yescharacteristic
906C23×C4C2412yes—
907C23×C4C2412yes—
908C23×C4C2412yes—
909C23×C4C2412yes—
910C23×C4C2414yes—
911C23×C4C2412yes—
912C23×C4C2414yes—
913C23×C4C2412yes—
914C23×C4C2411yescharacteristic
915C23×C4C2414yes—
916C23×C4C2412yes—
917C23×C4C2412yes—
918C23×C4C2412yes—
919C23×C4C2412yes—
920C23×C4C2411yescharacteristic
921C23×C4C2411yescharacteristic
922C23×C4C2411yescharacteristic
923C23×C4C2412yes—
924C23×C4C2412yes—
925C23×C4C2411yescharacteristic
926C23×C4C2414yes—
927C23×C4C2414yes—
928C23×C4C2414yes—
929C23×C4C2414yes—
930C23×C4C2414yes—
931C23×C4C2414yes—
932C23×C4C2412yes—
933C23×C4C2412yes—
934C23×C4C2412yes—
935#127—24no—
936#127—28no—
937#127—24no—
938#127—44no—
939#126—216no—
940#126—216no—
941#126—216no—
942#126—216no—
943#126—216no—
944#126—216no—
945#126—216no—
946#126C2×D4116yescomplemented
947#125—216no—
948#125—216no—
949#125—28no—
950#125—28no—
951#125—28no—
952#125C2×D418yescomplemented
953#123—216no—
954#123—216no—
955#123—216no—
956#123—216no—
957#123—216no—
958#123—216no—
959#123—216no—
960#123—84no—
961#123C2×D4116yescomplemented
962#121—216no—
963#121—216no—
964#121—28no—
965#121—216no—
966#121—216no—
967#121—28no—
968#121—216no—
969#121—24no—
970#121—28no—
971#121—216no—
972#121—28no—
973#121—216no—
974#121—28no—
975#121—28no—
976#121—28no—
977#121—24no—
978#121—28no—
979#121—216no—
980#121—28no—
981#121—28no—
982#121—28no—
983#121—216no—
984#121—216no—
985#121—216no—
986#121—216no—
987#121—44no—
988#121—44no—
989#121—44no—
990#121—44no—
991#121—44no—
992#121—48no—
993#121—48no—
994#121—82no—
995#121—84no—
996#121C2×D4116yescomplemented
997#121C2×D418yescomplemented
998#121C2×D418yescomplemented
999#120—216no—
1000#120—28no—
1001#120—216no—
1002#120—28no—
1003#120—216no—
1004#120—48no—
1005#120—48no—
1006C4×D4—216no—
1007C4×D4—28no—
1008C4×D4—28no—
1009C4×D4—24no—
1010C4×D4—24no—
1011C4×D4—24no—
1012C4×D4—28no—
1013C4×D4—24no—
1014C4×D4—28no—
1015C4×D4—28no—
1016C4×D4—216no—
1017C4×D4—216no—
1018C4×D4—28no—
1019C4×D4—216no—
1020C4×D4—28no—
1021C4×D4—28no—
1022C4×D4—28no—
1023C4×D4—28no—
1024C4×D4—24no—
1025C4×D4—216no—
1026C4×D4—28no—
1027C4×D4—28no—
1028C4×D4—24no—
1029C4×D4—24no—
1030C4×D4—216no—
1031C4×D4—216no—
1032C4×D4—28no—
1033C4×D4—216no—
1034C4×D4—28no—
1035C4×D4—28no—
1036C4×D4—28no—
1037C4×D4—216no—
1038C4×D4—28no—
1039C4×D4—28no—
1040C4×D4—24no—
1041C4×D4—24no—
1042C4×D4—24no—
1043C4×D4—44no—
1044C4×D4—44no—
1045C4×D4—44no—
1046C4×D4—44no—
1047C4×D4—42no—
1048C4×D4—44no—
1049C4×D4—44no—
1050C4×D4—48no—
1051C4×D4—48no—
1052C4×D4—48no—
1053C4×D4—48no—
1054C4×D4—42no—
1055C4×D4—44no—
1056C4×D4—84no—
1057C4×D4—82no—
1058C4×D4C2×D4116yescomplemented
1059C4×D4C2×D418yescomplemented
1060C4×D4C2×D418yescomplemented
1061C4×D4#4118yes—
1062#117—28no—
1063#117—28no—
1064#117—28no—
1065#117—216no—
1066#117—216no—
1067#117—42no—
1068#117C2×D418yescomplemented
1069C2×C4⋊C4—216no—
1070C2×C4⋊C4—28no—
1071C2×C4⋊C4—28no—
1072C2×C4⋊C4—28no—
1073C2×C4⋊C4—216no—
1074C2×C4⋊C4—216no—
1075C2×C4⋊C4—28no—
1076C2×C4⋊C4—28no—
1077C2×C4⋊C4—28no—
1078C2×C4⋊C4—216no—
1079C2×C4⋊C4—28no—
1080C2×C4⋊C4—216no—
1081C2×C4⋊C4—24no—
1082C2×C4⋊C4—24no—
1083C2×C4⋊C4—42no—
1084C2×C4⋊C4—44no—
1085C2×C4⋊C4—44no—
1086C2×C4⋊C4—82no—
1087C2×C4⋊C4C2×D418yescomplemented
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2414yes—
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2414yes—
1092C2×C4⋊C4C2414yes—
1093C2×C4⋊C4C2414yes—
1094C2×C4⋊C4C2414yes—
1095C2×C4⋊C4C2411yescharacteristic
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2414yes—
1099C2×C4⋊C4C2411yescharacteristic
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2414yes—
1102C2×C4⋊C4C2414yes—
1103C2×C4⋊C4C2414yes—
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2411yescharacteristic
1108C2×C4⋊C4C2411yescharacteristic
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2414yes—
1112C2×C4⋊C4C2414yes—
1113C2×C4⋊C4C2414yes—
1114C2×C4⋊C4C2411yescharacteristic
1115C2×C4⋊C4C2411yescharacteristic
1116C2×C4⋊C4C2411yescharacteristic
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2411yescharacteristic
1119C2×C4⋊C4C2411yescharacteristic
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2414yes—
1122C2×C4⋊C4C2414yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2414yes—
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2414yes—
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2411yescharacteristic
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2414yes—
1135C2×C4⋊C4C2411yescharacteristic
1136C2×C4⋊C4C2411yescharacteristic
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2411yescharacteristic
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2411yescharacteristic
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2411yescharacteristic
1143C2×C22⋊C4—216no—
1144C2×C22⋊C4—28no—
1145C2×C22⋊C4—216no—
1146C2×C22⋊C4—216no—
1147C2×C22⋊C4—28no—
1148C2×C22⋊C4—216no—
1149C2×C22⋊C4—28no—
1150C2×C22⋊C4—28no—
1151C2×C22⋊C4—48no—
1152C2×C22⋊C4—48no—
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2414yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2414yes—
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2414yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2414yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2414yes—
1178C2×C22⋊C4C2414yes—
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2411yescharacteristic
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2414yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2411yescharacteristic
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2411yescharacteristic
1188C2×C22⋊C4C2414yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2414yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2414yes—
1193C2×C22⋊C4C2414yes—
1194C2×C22⋊C4C2414yes—
1195C2×C22⋊C4C2414yes—
1196C2×C22⋊C4C2414yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2414yes—
1202C2×C22⋊C4C2414yes—
1203C2×C22⋊C4C2411yescharacteristic
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2412yes—
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2414yes—
1209C2×C22⋊C4C2414yes—
1210C2×C22⋊C4C2414yes—
1211C2×C22⋊C4C2414yes—
1212C2×C22⋊C4C2414yes—
1213C2×C22⋊C4C2414yes—
1214C2×C22⋊C4C2414yes—
1215C2×C22⋊C4C2414yes—
1216C2×C22⋊C4C2412yes—
1217C2×C22⋊C4C2412yes—
1218C2×C22⋊C4C2412yes—
1219C2×C22⋊C4C2411yescharacteristic
1220C2×C22⋊C4C2412yes—
1221C2×C22⋊C4C2412yes—
1222C2×C22⋊C4C2411yescharacteristic
1223C2×C22⋊C4C2412yes—
1224C2×C22⋊C4C2412yes—
1225C2×C42—216no—
1226C2×C42—28no—
1227C2×C42—24no—
1228C2×C42—24no—
1229C2×C42—44no—
1230C2×C42—44no—
1231C2×C42C2414yes—
1232C2×C42C2414yes—
1233C2×C42C2414yes—
1234C2×C42C2412yes—
1235C2×C42C2412yes—
1236C2×C42C2412yes—
1237C2×C42C2412yes—
1238C2×C42C2411yescharacteristic
1239C2×C42C2412yes—
1240C2×C42C2411yescharacteristic
1241C2×C42C2412yes—
1242C2×C42C2411yescharacteristic
1243C2×C42C2411yescharacteristic
1244C2×C42C2411yescharacteristic
1245C2×C42C2411yescharacteristic
1246C2×C42C2411yescharacteristic
1247C2×C42C2411yescharacteristic
1248C2×C42C2411yescharacteristic
1249C2×C42C2412yes—
1250C2×C42C2411yescharacteristic
1251C2×C42C2412yes—
1252C2×C42C2412yes—
1253C2×C42C2412yes—
1254C2×C42C2412yes—
1255C2×C42C2412yes—
1256C2×C42C2411yescharacteristic
1257C2×C42C2412yes—
1258C2×C42C2412yes—
1259C2×C42C2411yescharacteristic
1260C2×C42C2411yescharacteristic
1261#95C2412yes—
1262#95C2414yes—
1263#95C2412yes—
1264#95C2412yes—
1265#95C2412yes—
1266#95C2414yes—
1267#95C2414yes—
1268#95C2414yes—
1269#95C2412yes—
1270#95C2412yes—
1271#95C2412yes—
1272#95C2411yescharacteristic
1273#95C2411yescharacteristic
1274#95C2412yes—
1275#95C2414yes—
1276#95C2414yes—
1277#95C2414yes—
1278#95C2412yes—
1279#95C2412yes—
1280#95C2411yescharacteristic
1281#95C2412yes—
1282#95C2411yescharacteristic
1283#95C2412yes—
1284#95C2411yescharacteristic
1285#95C2412yes—
1286#95C2412yes—
1287#95C2412yes—
1288#95C2412yes—
1289#95C2411yescharacteristic
1290#95C2412yes—
1291#95C2414yes—
1292#95C2414yes—
1293#95C2412yes—
1294#95C2414yes—
1295#95C2414yes—
1296#95C2414yes—
1297#95C2412yes—
1298#95C2412yes—
1299#95C2412yes—
1300#95C2412yes—
1301#95C2414yes—
1302#95C2412yes—
1303#95C2412yes—
1304#95C2414yes—
1305#95C2414yes—
1306#95C2414yes—
1307C24—24no—
1308C24—24no—
1309C24—24no—
1310C24—24no—
1311C24—24no—
1312C24—28no—
1313C24—24no—
1314C24—24no—
1315C24—28no—
1316C24—28no—
1317C24—28no—
1318C24—24no—
1319C24—42no—
1320C24—42no—
1321C24—42no—
1322C24—44no—
1323C24—44no—
1324C24—42no—
1325C24—44no—
1326C24—42no—
1327C24C2×#4118yes—
1328C24C2512yes—
1329C24C2514yes—
1330C24C2512yes—
1331C24C2511yescharacteristic
1332C24C2512yes—
1333C24C2511yescharacteristic
1334C24C2512yes—
1335C2×D4—24no—
1336C2×D4—24no—
1337C2×D4—22no—
1338C2×D4—24no—
1339C2×D4—22no—
1340C2×D4—24no—
1341C2×D4—232no—
1342C2×D4—28no—
1343C2×D4—28no—
1344C2×D4—24no—
1345C2×D4—28no—
1346C2×D4—24no—
1347C2×D4—24no—
1348C2×D4—28no—
1349C2×D4—24no—
1350C2×D4—28no—
1351C2×D4—24no—
1352C2×D4—24no—
1353C2×D4—28no—
1354C2×D4—28no—
1355C2×D4—24no—
1356C2×D4—28no—
1357C2×D4—28no—
1358C2×D4—24no—
1359C2×D4—28no—
1360C2×D4—24no—
1361C2×D4—28no—
1362C2×D4—28no—
1363C2×D4—24no—
1364C2×D4—28no—
1365C2×D4—28no—
1366C2×D4—24no—
1367C2×D4—24no—
1368C2×D4—28no—
1369C2×D4—22no—
1370C2×D4—22no—
1371C2×D4—22no—
1372C2×D4—28no—
1373C2×D4—24no—
1374C2×D4—22no—
1375C2×D4—24no—
1376C2×D4—24no—
1377C2×D4—24no—
1378C2×D4—22no—
1379C2×D4—24no—
1380C2×D4—22no—
1381C2×D4—22no—
1382C2×D4—24no—
1383C2×D4—432no—
1384C2×D4—42no—
1385C2×D4—44no—
1386C2×D4—42no—
1387C2×D4—44no—
1388C2×D4—42no—
1389C2×D4—44no—
1390C2×D4—42no—
1391C2×D4—42no—
1392C2×D4—42no—
1393C2×D4—44no—
1394C2×D4—44no—
1395C2×D4—44no—
1396C2×D4—44no—
1397C2×D4—42no—
1398C2×D4—44no—
1399C2×D4—42no—
1400C2×D4—44no—
1401C2×D4—44no—
1402C2×D4—44no—
1403C2×D4—44no—
1404C2×D4—44no—
1405C2×D4—44no—
1406C2×D4—464no—
1407C2×D4—432no—
1408C2×D4—416no—
1409C2×D4—432no—
1410C2×D4—832no—
1411C2×D4C22×D418yes—
1412C2×D4C22×D414yes—
1413C2×D4C22×D414yes—
1414C2×D4C22×D418yes—
1415C2×D4C2×#4118yes—
1416C2×D4C2×#4114yes—
1417C2×D4C2×#4114yes—
1418C2×D4C2×#4114yes—
1419C2×D4H(5,𝔽2)14yes—
1420C22×C4—24no—
1421C22×C4—22no—
1422C22×C4—22no—
1423C22×C4—22no—
1424C22×C4—22no—
1425C22×C4—22no—
1426C22×C4—22no—
1427C22×C4—24no—
1428C22×C4—24no—
1429C22×C4—24no—
1430C22×C4—24no—
1431C22×C4—24no—
1432C22×C4—28no—
1433C22×C4—24no—
1434C22×C4—24no—
1435C22×C4—28no—
1436C22×C4—28no—
1437C22×C4—22no—
1438C22×C4—28no—
1439C22×C4—28no—
1440C22×C4—24no—
1441C22×C4—24no—
1442C22×C4—28no—
1443C22×C4—24no—
1444C22×C4—28no—
1445C22×C4—24no—
1446C22×C4—24no—
1447C22×C4—28no—
1448C22×C4—24no—
1449C22×C4—24no—
1450C22×C4—24no—
1451C22×C4—24no—
1452C22×C4—22no—
1453C22×C4—22no—
1454C22×C4—24no—
1455C22×C4—24no—
1456C22×C4—24no—
1457C22×C4—24no—
1458C22×C4—24no—
1459C22×C4—24no—
1460C22×C4—22no—
1461C22×C4—24no—
1462C22×C4—24no—
1463C22×C4—24no—
1464C22×C4—22no—
1465C22×C4—24no—
1466C22×C4—24no—
1467C22×C4—28no—
1468C22×C4—28no—
1469C22×C4—28no—
1470C22×C4—28no—
1471C22×C4—22no—
1472C22×C4—42no—
1473C22×C4—42no—
1474C22×C4—41no—
1475C22×C4—42no—
1476C22×C4—42no—
1477C22×C4—42no—
1478C22×C4—42no—
1479C22×C4—42no—
1480C22×C4—42no—
1481C22×C4—42no—
1482C22×C4—42no—
1483C22×C4—42no—
1484C22×C4—44no—
1485C22×C4—44no—
1486C22×C4—44no—
1487C22×C4—42no—
1488C22×C4—432no—
1489C22×C4—432no—
1490C22×C4—42no—
1491C22×C4—42no—
1492C22×C4—44no—
1493C22×C4—44no—
1494C22×C4—42no—
1495C22×C4—44no—
1496C22×C4—44no—
1497C22×C4—44no—
1498C22×C4—44no—
1499C22×C4—44no—
1500C22×C4—41no—
1501C22×C4—42no—
1502C22×C4—42no—
1503C22×C4—44no—
1504C22×C4—44no—
1505C22×C4—44no—
1506C22×C4—41no—
1507C22×C4—44no—
1508C22×C4—44no—
1509C22×C4—832no—
1510C22×C4—832no—
1511C22×C4C22×D414yes—
1512C22×C4C22×D414yes—
1513C22×C4C22×D418yes—
1514C22×C4C22×D418yes—
1515C22×C4C2×#4114yes—
1516C22×C4C2×#4118yes—
1517C22×C4C2511yescharacteristic
1518C22×C4C2512yes—
1519C22×C4C2511yescharacteristic
1520C22×C4C2512yes—
1521C22×C4C2512yes—
1522C22×C4C2511yescharacteristic
1523C22×C4C2511yescharacteristic
1524C22×C4C2512yes—
1525C22×C4C2511yescharacteristic
1526C22×C4C2512yes—
1527C22×C4C2514yes—
1528C22×C4C2512yes—
1529C22×C4C2512yes—
1530C22×C4C2514yes—
1531C22×C4C2512yes—
1532C22×C4C2514yes—
1533C22×C4C2511yescharacteristic
1534C22×C4C2512yes—
1535C22×C4C2511yescharacteristic
1536C22×C4C2512yes—
1537C22×C4C2511yescharacteristic
1538C22×C4C2511yescharacteristic
1539C22×C4C2512yes—
1540C22×C4C2511yescharacteristic
1541C22×C4C2512yes—
1542C22×C4C2511yescharacteristic
1543C22×C4C2511yescharacteristic
1544C22×C4C2511yescharacteristic
1545C4⋊C4—28no—
1546C4⋊C4—24no—
1547C4⋊C4—28no—
1548C4⋊C4—24no—
1549C4⋊C4—28no—
1550C4⋊C4—28no—
1551C4⋊C4—28no—
1552C4⋊C4—28no—
1553C4⋊C4—24no—
1554C4⋊C4—28no—
1555C4⋊C4—28no—
1556C4⋊C4—28no—
1557C4⋊C4—24no—
1558C4⋊C4—24no—
1559C4⋊C4—24no—
1560C4⋊C4—28no—
1561C4⋊C4—28no—
1562C4⋊C4—28no—
1563C4⋊C4—24no—
1564C4⋊C4—24no—
1565C4⋊C4—22no—
1566C4⋊C4—22no—
1567C4⋊C4—22no—
1568C4⋊C4—24no—
1569C4⋊C4—22no—
1570C4⋊C4—24no—
1571C4⋊C4—22no—
1572C4⋊C4—22no—
1573C4⋊C4—24no—
1574C4⋊C4—24no—
1575C4⋊C4—22no—
1576C4⋊C4—22no—
1577C4⋊C4—22no—
1578C4⋊C4—42no—
1579C4⋊C4—44no—
1580C4⋊C4—44no—
1581C4⋊C4—42no—
1582C4⋊C4—42no—
1583C4⋊C4—44no—
1584C4⋊C4—41no—
1585C4⋊C4—42no—
1586C4⋊C4—42no—
1587C4⋊C4—42no—
1588C4⋊C4—44no—
1589C4⋊C4—42no—
1590C4⋊C4—44no—
1591C4⋊C4—42no—
1592C4⋊C4C22×D414yes—
1593C4⋊C4C22×D414yes—
1594C4⋊C4C22×D418yes—
1595C4⋊C4C22×D414yes—
1596C4⋊C4C22×D418yes—
1597C4⋊C4C22×D414yes—
1598C4⋊C4C22×D418yes—
1599C4⋊C4C2×#4114yes—
1600C22⋊C4—28no—
1601C22⋊C4—24no—
1602C22⋊C4—28no—
1603C22⋊C4—28no—
1604C22⋊C4—24no—
1605C22⋊C4—28no—
1606C22⋊C4—24no—
1607C22⋊C4—24no—
1608C22⋊C4—24no—
1609C22⋊C4—22no—
1610C22⋊C4—24no—
1611C22⋊C4—28no—
1612C22⋊C4—28no—
1613C22⋊C4—24no—
1614C22⋊C4—24no—
1615C22⋊C4—28no—
1616C22⋊C4—28no—
1617C22⋊C4—22no—
1618C22⋊C4—28no—
1619C22⋊C4—28no—
1620C22⋊C4—24no—
1621C22⋊C4—24no—
1622C22⋊C4—28no—
1623C22⋊C4—28no—
1624C22⋊C4—28no—
1625C22⋊C4—28no—
1626C22⋊C4—24no—
1627C22⋊C4—24no—
1628C22⋊C4—28no—
1629C22⋊C4—28no—
1630C22⋊C4—24no—
1631C22⋊C4—24no—
1632C22⋊C4—24no—
1633C22⋊C4—24no—
1634C22⋊C4—24no—
1635C22⋊C4—22no—
1636C22⋊C4—24no—
1637C22⋊C4—24no—
1638C22⋊C4—28no—
1639C22⋊C4—28no—
1640C22⋊C4—44no—
1641C22⋊C4—44no—
1642C22⋊C4—44no—
1643C22⋊C4—44no—
1644C22⋊C4—42no—
1645C22⋊C4—42no—
1646C22⋊C4—42no—
1647C22⋊C4—42no—
1648C22⋊C4—42no—
1649C22⋊C4—41no—
1650C22⋊C4—42no—
1651C22⋊C4—42no—
1652C22⋊C4—42no—
1653C22⋊C4—44no—
1654C22⋊C4—44no—
1655C22⋊C4—44no—
1656C22⋊C4—44no—
1657C22⋊C4—44no—
1658C22⋊C4—44no—
1659C22⋊C4—44no—
1660C22⋊C4—44no—
1661C22⋊C4—44no—
1662C22⋊C4—44no—
1663C22⋊C4—42no—
1664C22⋊C4—42no—
1665C22⋊C4C22×D418yes—
1666C22⋊C4C22×D414yes—
1667C22⋊C4C22×D418yes—
1668C22⋊C4C22×D418yes—
1669C22⋊C4C22×D414yes—
1670C22⋊C4C22×D418yes—
1671C22⋊C4C2×#4118yes—
1672C42—28no—
1673C42—28no—
1674C42—28no—
1675C42—24no—
1676C42—24no—
1677C42—24no—
1678C42—22no—
1679C42—22no—
1680C42—22no—
1681C42—22no—
1682C42—22no—
1683C42—22no—
1684C42—24no—
1685C42—22no—
1686C42—22no—
1687C42—24no—
1688C42—24no—
1689C42—22no—
1690C42—42no—
1691C42—42no—
1692C42—42no—
1693C42—42no—
1694C42—42no—
1695C42—41no—
1696C42—42no—
1697C42—41no—
1698C42—42no—
1699C42C22×D418yes—
1700C42C22×D414yes—
1701C42C2×#4114yes—
1702C23—22no—
1703C23—21no—
1704C23—21no—
1705C23—21no—
1706C23—22no—
1707C23—22no—
1708C23—21no—
1709C23—22no—
1710C23—22no—
1711C23—22no—
1712C23—21no—
1713C23—22no—
1714C23—22no—
1715C23—21no—
1716C23—22no—
1717C23—21no—
1718C23—22no—
1719C23—21no—
1720C23—22no—
1721C23—22no—
1722C23—21no—
1723C23—22no—
1724C23—22no—
1725C23—22no—
1726C23—22no—
1727C23—21no—
1728C23—216no—
1729C23—216no—
1730C23—24no—
1731C23—22no—
1732C23—22no—
1733C23—24no—
1734C23—22no—
1735C23—24no—
1736C23—24no—
1737C23—22no—
1738C23—24no—
1739C23—24no—
1740C23—22no—
1741C23—22no—
1742C23—22no—
1743C23—24no—
1744C23—48no—
1745C23—48no—
1746C23—48no—
1747C23—48no—
1748C23—48no—
1749C23—48no—
1750C23—416no—
1751C23—416no—
1752C23—48no—
1753C23—416no—
1754C23—48no—
1755C23—48no—
1756C23—416no—
1757C23—84no—
1758C23—88no—
1759C23—84no—
1760C23—88no—
1761C23—88no—
1762C23—84no—
1763C23C23×D414yes—
1764C23C23×D412yes—
1765C23C23×D412yes—
1766C23C22×#4114yes—
1767C23C22×#4112yes—
1768C23C22×#4114yes—
1769C23C22×#4114yes—
1770C23C2×H(5,𝔽2)14yes—
1771C23#58512yes—
1772C23C2611yescharacteristic
1773D4—216no—
1774D4—28no—
1775D4—216no—
1776D4—28no—
1777D4—28no—
1778D4—48no—
1779D4—416no—
1780D4—416no—
1781D4—48no—
1782D4—416no—
1783D4—48no—
1784D4—416no—
1785D4—48no—
1786D4—48no—
1787D4—416no—
1788D4—48no—
1789D4—44no—
1790D4—48no—
1791D4—84no—
1792D4—88no—
1793D4—84no—
1794D4—88no—
1795D4—88no—
1796D4—88no—
1797D4—164no—
1798D4#553116yesdirect product factor
1799C2×C4—22no—
1800C2×C4—21no—
1801C2×C4—21no—
1802C2×C4—21no—
1803C2×C4—22no—
1804C2×C4—21no—
1805C2×C4—22no—
1806C2×C4—21no—
1807C2×C4—22no—
1808C2×C4—21no—
1809C2×C4—21no—
1810C2×C4—21no—
1811C2×C4—21no—
1812C2×C4—22no—
1813C2×C4—21no—
1814C2×C4—22no—
1815C2×C4—21no—
1816C2×C4—21no—
1817C2×C4—22no—
1818C2×C4—22no—
1819C2×C4—28no—
1820C2×C4—28no—
1821C2×C4—216no—
1822C2×C4—28no—
1823C2×C4—22no—
1824C2×C4—24no—
1825C2×C4—22no—
1826C2×C4—24no—
1827C2×C4—22no—
1828C2×C4—22no—
1829C2×C4—24no—
1830C2×C4—21no—
1831C2×C4—21no—
1832C2×C4—21no—
1833C2×C4—21no—
1834C2×C4—22no—
1835C2×C4—24no—
1836C2×C4—22no—
1837C2×C4—21no—
1838C2×C4—22no—
1839C2×C4—22no—
1840C2×C4—22no—
1841C2×C4—22no—
1842C2×C4—21no—
1843C2×C4—22no—
1844C2×C4—22no—
1845C2×C4—22no—
1846C2×C4—24no—
1847C2×C4—22no—
1848C2×C4—24no—
1849C2×C4—21no—
1850C2×C4—21no—
1851C2×C4—21no—
1852C2×C4—21no—
1853C2×C4—21no—
1854C2×C4—22no—
1855C2×C4—22no—
1856C2×C4—22no—
1857C2×C4—21no—
1858C2×C4—22no—
1859C2×C4—22no—
1860C2×C4—22no—
1861C2×C4—24no—
1862C2×C4—22no—
1863C2×C4—22no—
1864C2×C4—21no—
1865C2×C4—21no—
1866C2×C4—22no—
1867C2×C4—21no—
1868C2×C4—22no—
1869C2×C4—24no—
1870C2×C4—24no—
1871C2×C4—48no—
1872C2×C4—48no—
1873C2×C4—48no—
1874C2×C4—48no—
1875C2×C4—44no—
1876C2×C4—48no—
1877C2×C4—48no—
1878C2×C4—48no—
1879C2×C4—48no—
1880C2×C4—416no—
1881C2×C4—48no—
1882C2×C4—416no—
1883C2×C4—416no—
1884C2×C4—48no—
1885C2×C4—48no—
1886C2×C4—48no—
1887C2×C4—44no—
1888C2×C4—48no—
1889C2×C4—82no—
1890C2×C4—88no—
1891C2×C4—88no—
1892C2×C4—88no—
1893C2×C4—88no—
1894C2×C4—84no—
1895C2×C4—88no—
1896C2×C4—88no—
1897C2×C4—84no—
1898C2×C4C23×D412yes—
1899C2×C4C23×D414yes—
1900C2×C4C23×D412yes—
1901C2×C4C23×D414yes—
1902C2×C4C23×D412yes—
1903C2×C4C23×D412yes—
1904C2×C4C23×D414yes—
1905C2×C4C23×D412yes—
1906C2×C4C22×#4112yes—
1907C2×C4C22×#4112yes—
1908C2×C4C22×#4114yes—
1909C2×C4C22×#4112yes—
1910C2×C4C22×#4112yes—
1911C2×C4C22×#4112yes—
1912C2×C4C2×H(5,𝔽2)12yes—
1913C2×C4#58512yes—
1914C22—24no—
1915C22—22no—
1916C22—22no—
1917C22—24no—
1918C22—22no—
1919C22—24no—
1920C22—22no—
1921C22—24no—
1922C22—24no—
1923C22—22no—
1924C22—24no—
1925C22—22no—
1926C22—24no—
1927C22—22no—
1928C22—24no—
1929C22—22no—
1930C22—24no—
1931C22—24no—
1932C22—22no—
1933C22—24no—
1934C22—24no—
1935C22—432no—
1936C22—42no—
1937C22—41no—
1938C22—42no—
1939C22—41no—
1940C22—42no—
1941C22—42no—
1942C22—42no—
1943C22—42no—
1944C22—41no—
1945C22—42no—
1946C22—42no—
1947C22—41no—
1948C22—44no—
1949C22—42no—
1950C22—44no—
1951C22—42no—
1952C22—44no—
1953C22—42no—
1954C22—42no—
1955C22—44no—
1956C22—42no—
1957C22—44no—
1958C22—44no—
1959C22—42no—
1960C22—42no—
1961C22—44no—
1962C22—816no—
1963C22—832no—
1964C22D4×#4114yes—
1965C22C2×#55318yescomplemented
1966C22C24×D411yescharacteristic
1967C22C23×#4111yescharacteristic
1968C22C23×#4111yescharacteristic
1969C22C22×H(5,𝔽2)11yescharacteristic
1970C22C2×#58511yescharacteristic
1971C22C2×#58511yescharacteristic
1972C22H(7,𝔽2)11yescharacteristic
1973C4—22no—
1974C4—24no—
1975C4—24no—
1976C4—22no—
1977C4—22no—
1978C4—22no—
1979C4—24no—
1980C4—24no—
1981C4—22no—
1982C4—22no—
1983C4—44no—
1984C4—42no—
1985C4—44no—
1986C4—41no—
1987C4—42no—
1988C4—41no—
1989C4—41no—
1990C4—41no—
1991C4—42no—
1992C4—42no—
1993C4—42no—
1994C4—42no—
1995C4—44no—
1996C4—42no—
1997C4—41no—
1998C4—42no—
1999C4D4×#4114yes—
2000C4C2×#55314yescomplemented
2001C2—24no—
2002C2—28no—
2003C2—44no—
2004C2—44no—
2005C2—42no—
2006C2—84no—
2007C2—82no—
2008C2C2×D4×#4111yescharacteristic
2009C2C2×D4×#4111yescharacteristic
2010C2C22×#55311yescharacteristic
2011C2D4×H(5,𝔽2)11yescharacteristic
2012C2#6299211yescharacteristic
2013C2#6300811yescharacteristic
2014C2#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. C22×#553C2semidirect
2. #59826C2semidirect
3. #59693C2semidirect
4. #59680C2semidirect
5. #59392C2semidirect
6. #59304C2semidirect
7. #59213C2semidirect
8. #59190C2semidirect
9. #59167C2semidirect
10. #59142C2semidirect
11. #59139C2semidirect
12. #59028C2semidirect
13. #59013C2semidirect
14. #36596C2semidirect
15. #36581C2semidirect
16. #36472C2semidirect
17. #36468C2semidirect
18. #36440C2semidirect
19. #36438C2semidirect
20. #36263C2semidirect
21. #36221C2semidirect
22. #36182C2semidirect
23. #36157C2semidirect
24. D4×#126C2semidirect
25. D4×#125C2semidirect
26. D4×#123C2semidirect
27. D4×#121C2semidirect
28. D4×#121C2semidirect
29. D4×#121C2semidirect
30. C4×#553C2semidirect
31. C4×D42C2semidirect
32. C4×D42C2semidirect
33. C4×D42C2semidirect
34. D4×#117C2semidirect
35. C2×D4×C4⋊C4C2semidirect
38. C2×#553C22semidirect
39. C2×#553C22semidirect
40. C2×#553C22semidirect
41. C2×#553C22semidirect
42. C2×#553C22semidirect
43. C2×#553C22semidirect
44. C2×#553C22semidirect
45. C2×#553C22semidirect
46. C2×#553C22semidirect
47. C2×#553C22semidirect
48. C2×#553C22semidirect
53. C22×#126C22semidirect
54. C22×#125C22semidirect
55. C22×#123C22semidirect
56. C22×#121C22semidirect
57. C22×#121C22semidirect
58. C22×#121C22semidirect
63. C22×C4×D4C22semidirect
64. C22×C4×D4C22semidirect
65. C22×C4×D4C22semidirect
66. C22×#117C22semidirect
67. C23×C4⋊C4C22semidirect
68. #2860C22semidirect
69. #2859C22semidirect
70. #2856C22semidirect
71. #2856C22semidirect
72. #2856C22semidirect
73. #2854C22semidirect
74. #2852C22semidirect
75. #2851C22semidirect
76. #2849C22semidirect
77. #2847C22semidirect
78. #2847C22semidirect
79. #2847C22semidirect
80. #2725C22semidirect
81. #2718C22semidirect
82. #2714C22semidirect
83. #2711C22semidirect
84. #2708C22semidirect
85. #2703C22semidirect
86. #2701C22semidirect
87. #2691C22semidirect
88. #2688C22semidirect
89. #2603C22semidirect
90. #2602C22semidirect
91. #2602C22semidirect
92. #2601C22semidirect
93. #2600C22semidirect
94. #2598C22semidirect
95. #2591C22semidirect
96. #2579C22semidirect
97. #2566C22semidirect
98. #2562C22semidirect
99. #2559C22semidirect
100. #2559C22semidirect
101. #2558C22semidirect
102. #2554C22semidirect
103. #2552C22semidirect
104. #2552C22semidirect
105. #2543C22semidirect
106. #2543C22semidirect
107. #2541C22semidirect
108. #2541C22semidirect
109. #2541C22semidirect
110. #2537C22semidirect
111. #2537C22semidirect
112. #2537C22semidirect
113. #2535C22semidirect
114. #2535C22semidirect
115. #2512C22semidirect
116. #2512C22semidirect
117. #2512C22semidirect
118. #2512C22semidirect
119. #2506C22semidirect
120. #2506C22semidirect
121. #2504C22semidirect
122. #2501C22semidirect
123. #2500C22semidirect
124. #2496C22semidirect
125. #2496C22semidirect
126. #2496C22semidirect
127. #2490C22semidirect
128. #2490C22semidirect
129. #2487C22semidirect
130. #2486C22semidirect
131. #2485C22semidirect
132. #2481C22semidirect
133. #2481C22semidirect
134. #2481C22semidirect
135. #2481C22semidirect
136. #2480C22semidirect
137. #2480C22semidirect
138. #2480C22semidirect
139. #2476C22semidirect
140. #2473C22semidirect
141. #2473C22semidirect
142. #2470C22semidirect
143. #2468C22semidirect
144. #2467C22semidirect
145. #2466C22semidirect
146. #2464C22semidirect
147. #2464C22semidirect
148. #2460C22semidirect
149. #2457C22semidirect
150. #2456C22semidirect
151. #2456C22semidirect
152. #2445C22semidirect
153. #2445C22semidirect
154. #2444C22semidirect
155. #2444C22semidirect
156. #2443C22semidirect
157. #2443C22semidirect
158. #2443C22semidirect
159. #2443C22semidirect
160. #2442C22semidirect
161. #2442C22semidirect
162. #2442C22semidirect
163. #2441C22semidirect
164. #2428C22semidirect
165. #2428C22semidirect
166. #2428C22semidirect
167. #2428C22semidirect
168. #2424C22semidirect
169. #2424C22semidirect
170. #2424C22semidirect
171. #2424C22semidirect
172. #2422C22semidirect
173. #2422C22semidirect
174. #2422C22semidirect
175. #2422C22semidirect
176. #2420C22semidirect
177. #2418C22semidirect
178. #2418C22semidirect
179. #2416C22semidirect
180. #2416C22semidirect
181. #2416C22semidirect
182. #2416C22semidirect
183. #2416C22semidirect
184. #2416C22semidirect
185. #2416C22semidirect
186. #2416C22semidirect
187. #2416C22semidirect
188. #2416C22semidirect
189. #2414C22semidirect
190. #2414C22semidirect
191. #2412C22semidirect
192. #2410C22semidirect
193. #2410C22semidirect
194. #2410C22semidirect
195. #2410C22semidirect
196. #2408C22semidirect
197. #2408C22semidirect
198. #2408C22semidirect
199. #2405C22semidirect
200. #2374C22semidirect
201. #2373C22semidirect
202. #2370C22semidirect
203. #2366C22semidirect
204. #2366C22semidirect
205. #2366C22semidirect
206. #2364C22semidirect
207. #2364C22semidirect
208. #2363C22semidirect
209. #2363C22semidirect
210. #2361C22semidirect
211. #2361C22semidirect
212. #2361C22semidirect
213. #2361C22semidirect
214. #2361C22semidirect
215. #2361C22semidirect
216. #2361C22semidirect
217. #2361C22semidirect
218. #2361C22semidirect
219. #2361C22semidirect
220. #2361C22semidirect
221. #2358C22semidirect
222. #2358C22semidirect
223. #2358C22semidirect
224. #2358C22semidirect
225. #2358C22semidirect
226. #2357C22semidirect
227. #2354C22semidirect
228. #2354C22semidirect
229. #2353C22semidirect
230. #2352C22semidirect
231. #2352C22semidirect
232. #2352C22semidirect
233. #2352C22semidirect
241. D4×C4⋊C4C22semidirect
242. D4×C4⋊C4C22semidirect
243. D4×C4⋊C4C22semidirect
244. D4×C4⋊C4C22semidirect
245. D4×C4⋊C4C22semidirect
246. D4×C4⋊C4C22semidirect
247. D4×C4⋊C4C22semidirect
248. D4×C4⋊C4C22semidirect
249. D4×C4⋊C4C22semidirect
250. #2347C22semidirect
251. #2345C22semidirect
252. #2344C22semidirect
253. #2342C22semidirect
260. D4×C22⋊C4C22semidirect
261. D4×C22⋊C4C22semidirect
262. D4×C22⋊C4C22semidirect
263. C4×#127C22semidirect
264. C4×#127C22semidirect
265. C4×#127C22semidirect
266. C4×#125C22semidirect
267. C4×#126C22semidirect
268. C4×#123C22semidirect
269. C4×#121C22semidirect
270. C4×#121C22semidirect
271. C4×#121C22semidirect
272. C4×#121C22semidirect
273. C4×#121C22semidirect
274. C4×#121C22semidirect
275. C4×#121C22semidirect
276. C4×#121C22semidirect
277. C4×#121C22semidirect
278. C4×#121C22semidirect
279. C4×#121C22semidirect
280. C4×#120C22semidirect
281. C4×#120C22semidirect
282. C4×#120C22semidirect
283. C4×#120C22semidirect
284. C4×#120C22semidirect
285. #2293C22semidirect
286. C2×#389C22semidirect
287. #2290C22semidirect
288. C2×#385C22semidirect
289. #2285C22semidirect
290. C2×#384C22semidirect
291. #2280C22semidirect
292. C2×#380C22semidirect
295. C42×D4C22semidirect
296. C42×D4C22semidirect
297. C42×D4C22semidirect
298. C4×#117C22semidirect
299. C2×C4×C4⋊C4C22semidirect
322. #553D4direct (N × H)
946. #126C2×D4semidirect
952. #125C2×D4semidirect
961. #123C2×D4semidirect
996. #121C2×D4semidirect
997. #121C2×D4semidirect
998. #121C2×D4semidirect
1058. C4×D4C2×D4semidirect
1059. C4×D4C2×D4semidirect
1060. C4×D4C2×D4semidirect
1068. #117C2×D4semidirect
1087. C2×C4⋊C4C2×D4semidirect
1798. D4#553direct (N × H)
1965. C22C2×#553semidirect
2000. C4C2×#553semidirect

Maximal subgroups

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

subgroupindex
C22×#5532
#598262
#596932
#596802
#593922
#593042
#592132
#591902
#591672
#591422
#591392
#590282
#590132
#365962
#365812
#364722
#364682
#364402
#364382
#362632
#362212
#361822
#361572
D4×#1262
D4×#1252
D4×#1232
D4×#1212
C4×#5532
C4×D422
D4×#1172
C2×D4×C4⋊C42