Finite Group Databasebeta

← C43×#61183 #24981200

Subgroups — C43×#61183 #24981200

Order 11008.

2286 conjugacy classes of subgroups.

The subgroup lattice has 1294 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C43×#3494C211yesmaximal, characteristic, complemented
2C43×#3484C211yesmaximal, characteristic, complemented
3C43×#3325C212yesmaximal, complemented
4C43×#3322C212yesmaximal, complemented
5C43×#3319C212yesmaximal, complemented
6C43×#3318C212yesmaximal, complemented
7C43×#3318C212yesmaximal, complemented
8C43×#3306C212yesmaximal, complemented
9C43×#3297C212yesmaximal, complemented
10C43×#3294C212yesmaximal, complemented
11C43×#3136C211yesmaximal, characteristic, complemented
12C43×#3096C211yesmaximal, characteristic, complemented
13C43×#3091C211yesmaximal, characteristic, complemented
14C43×#3081C211yesmaximal, characteristic, complemented
15C43×#3058C211yesmaximal, characteristic, complemented
16C43×#3055C211yesmaximal, characteristic, complemented
17C43×#3041C211yesmaximal, characteristic, complemented
18C43×#3008C211yesmaximal, characteristic, complemented
19C2×C43×#447C211yesmaximal, characteristic, complemented
20C43×#2948C211yesmaximal, characteristic, complemented
21C43×#2933C211yesmaximal, characteristic, complemented
22C43×#2897C211yesmaximal, characteristic, complemented
23C2×C43×#418C211yesmaximal, characteristic, complemented
24C2×H(5,𝔽2)×C43C2211yescharacteristic
25C23×D4×C43C2211yescharacteristic
26C2×AGL(1,ℤ/8)×C43C2211yescharacteristic, complemented
27C22×D8×C43C2211yescharacteristic
28C22×D8×C43C2211yescharacteristic, complemented
29C2×#131×C43C2211yescharacteristic, complemented
30C22×M16×C43C2211yescharacteristic, complemented
31C43×#555C2212yescomplemented
32C43×#553C2212yescomplemented
33C43×#553C2212yescomplemented
34C43×#551—22no—
35C43×#547C2212yescomplemented
36C43×#546—21no—
37C43×#546—21no—
38C43×#546—22no—
39C43×#546C2212yescomplemented
40C43×#546C2212yescomplemented
41D42×C43—21no—
42D42×C43—21no—
43D42×C43C2212yescomplemented
44D42×C43C2212yescomplemented
45C43×#544C2211yescharacteristic, complemented
46C43×#542—21no—
47C43×#540—21no—
48C43×#535C2211yescharacteristic
49C43×#535C2211yescharacteristic
50C43×#535C2211yescharacteristic, complemented
51C43×#534—22no—
52C43×#532—21no—
53C43×#529—21no—
54C43×#525C2211yescharacteristic
55C43×#525C2211yescharacteristic
56C2×#121×C43C2211yescharacteristic, complemented
57C2×#120×C43—22no—
58C43×#520C2211yescharacteristic, complemented
59C43×#518C2211yescharacteristic
60C43×#518C2211yescharacteristic, complemented
61C2×#117×C43C2211yescharacteristic, complemented
62C43×#490C2212yescomplemented
63C43×#489C2212yescomplemented
64C43×#488C2212yescomplemented
65C43×#486C2212yescomplemented
66C43×#485C2211yescharacteristic, complemented
67C43×#485C2211yescharacteristic, complemented
68C43×#484C2211yescharacteristic, complemented
69C43×#483C2211yescharacteristic, complemented
70C43×#482C2211yescharacteristic, complemented
71C43×#482C2211yescharacteristic, complemented
72C43×#482C2212yescomplemented
73C43×#482C2212yescomplemented
74C43×#481C2211yescharacteristic, complemented
75C43×#481C2212yescomplemented
76C43×#480C2211yescharacteristic, complemented
77C43×#480C2212yescomplemented
78C43×#478C2212yescomplemented
79C43×#478C2212yescomplemented
80C43×#476C2212yescomplemented
81C43×#474C2212yescomplemented
82C43×#469C2212yescomplemented
83C43×#469C2212yescomplemented
84C43×#469C2212yescomplemented
85C43×#468C2212yescomplemented
86C43×#466C2212yescomplemented
87C43×#466C2212yescomplemented
88C43×#466C2212yescomplemented
89C43×#465C2212yescomplemented
90C43×#463C2212yescomplemented
91C43×#463C2212yescomplemented
92C43×#459C2212yescomplemented
93C43×#459C2212yescomplemented
94C43×#449C2212yescomplemented
95C43×#449C2212yescomplemented
96C43×#447C2212yescomplemented
97C43×#447C2212yescomplemented
98C43×#447C2212yescomplemented
99C43×#447C2212yescomplemented
100C43×#447C2212yescomplemented
101C43×#447C2212yescomplemented
102C43×#442C2212yescomplemented
103C43×#442C2212yescomplemented
104C4×D8×C43C2212yescomplemented
105C4×D8×C43C2212yescomplemented
106C43×#436C2212yescomplemented
107C43×#435C2212yescomplemented
108C43×#435C2212yescomplemented
109C8×D4×C43C2212yescomplemented
110C43×#428C2211yescharacteristic, complemented
111C43×#427C2211yescharacteristic, complemented
112C43×#427C2211yescharacteristic, complemented
113C43×#424C2211yescharacteristic, complemented
114C43×#418C2211yescharacteristic
115C43×#418C2211yescharacteristic
116C43×#418C2211yescharacteristic, complemented
117C43×#418C2211yescharacteristic, complemented
118C43×#418C2212yescomplemented
119C43×#418C2212yescomplemented
120C43×#418C2212yescomplemented
121C43×#418C2211yescharacteristic, complemented
122C43×#417C2212yescomplemented
123C43×#417C2211yescharacteristic, complemented
124C43×#416C2212yescomplemented
125C43×#416C2211yescharacteristic, complemented
126C43×#416C2211yescharacteristic, complemented
127C2×#102×C43C2211yescharacteristic
128C2×#102×C43C2211yescharacteristic, complemented
129C2×#102×C43C2212yescomplemented
130C2×#102×C43C2212yescomplemented
131C2×#102×C43C2212yescomplemented
132C43×#408C2211yescharacteristic, complemented
133C2×C22⋊C8×C43C2211yescharacteristic, complemented
134C43×#405C2211yescharacteristic, complemented
135C25×C43—21no—
136H(5,𝔽2)×C43—24no—
137H(5,𝔽2)×C43—42no—
138C2×#41×C43—21no—
139C2×#41×C43—22no—
140C2×#41×C43C2311yescharacteristic
141C2×#41×C43C2312yes—
142C2×#41×C43C2311yescharacteristic
143C22×D4×C43—24no—
144C22×D4×C43—21no—
145C22×D4×C43—22no—
146C22×D4×C43—21no—
147C22×D4×C43—22no—
148C22×D4×C43—22no—
149C22×D4×C43—21no—
150C22×D4×C43—21no—
151C22×D4×C43—21no—
152C22×D4×C43—42no—
153C22×D4×C43C2311yescharacteristic
154C22×D4×C43C2311yescharacteristic
155C22×D4×C43C2312yes—
156C22×D4×C43C2312yes—
157C22×D4×C43C2312yes—
158C22×D4×C43C2311yescharacteristic
159C23×C4×C43C2311yescharacteristic
160AGL(1,ℤ/8)×C43—42no—
161C2×SD16×C43C2312yescomplemented
162C2×D8×C43—24no—
163C2×D8×C43—42no—
164C2×D8×C43C2312yes—
165C2×D8×C43C2312yes—
166C2×D8×C43C2312yes—
167C2×D8×C43C2312yes—
168C2×D8×C43C2312yescomplemented
169#131×C43—42no—
170C2×M16×C43—42no—
171C2×M16×C43C2311yescharacteristic
172C2×M16×C43C2311yescharacteristic
173C2×M16×C43C2312yes—
174C2×M16×C43C2312yescomplemented
175C22×C8×C43C2311yescharacteristic
176C22×C8×C43C2311yescharacteristic
177C22×C8×C43C2312yes—
178C22×C8×C43C2312yescomplemented
179C4⋊Q8×C43—21no—
180C4⋊Q8×C43C2312yescomplemented
181#127×C43—21no—
182#127×C43—21no—
183#127×C43C2312yes—
184#126×C43—22no—
185#126×C43—22no—
186#125×C43—21no—
187#125×C43C2312yescomplemented
188#124×C43—21no—
189#124×C43—21no—
190#124×C43—22no—
191#124×C43—22no—
192#124×C43C2312yes—
193#123×C43—21no—
194#123×C43—22no—
195#123×C43—22no—
196#123×C43—22no—
197#123×C43—22no—
198#123×C43—22no—
199#123×C43—22no—
200#123×C43D412yes—
201C22⋊Q8×C43—22no—
202C22⋊Q8×C43—22no—
203C22⋊Q8×C43D411yescharacteristic
204C22⋊Q8×C43D411yescharacteristic
205C22⋊Q8×C43C2311yescharacteristic
206C22⋊Q8×C43C2311yescharacteristic
207#121×C43—22no—
208#121×C43—22no—
209#121×C43—22no—
210#121×C43—21no—
211#121×C43—21no—
212#121×C43—22no—
213#121×C43—22no—
214#121×C43—21no—
215#121×C43—21no—
216#121×C43—22no—
217#121×C43—22no—
218#121×C43D411yescharacteristic
219#121×C43D411yescharacteristic
220#121×C43C2312yes—
221#121×C43C2312yes—
222#121×C43C2311yescharacteristic
223#121×C43C2311yescharacteristic
224#121×C43C2312yes—
225#121×C43C2312yes—
226#121×C43C2312yescomplemented
227#121×C43C2312yescomplemented
228#120×C43—21no—
229#120×C43—22no—
230#120×C43—22no—
231#120×C43—22no—
232#120×C43—22no—
233#120×C43—22no—
234#120×C43—22no—
235#120×C43—22no—
236#120×C43—22no—
237#120×C43—22no—
238#120×C43D412yes—
239C4×Q8×C43—21no—
240C4×D4×C43—21no—
241C4×D4×C43—22no—
242C4×D4×C43—21no—
243C4×D4×C43—21no—
244C4×D4×C43—21no—
245C4×D4×C43—21no—
246C4×D4×C43—21no—
247C4×D4×C43—21no—
248C4×D4×C43—22no—
249C4×D4×C43—22no—
250C4×D4×C43C2312yes—
251C4×D4×C43C2312yes—
252C4×D4×C43C2312yes—
253C4×D4×C43C2312yes—
254C4×D4×C43C2312yescomplemented
255C4×D4×C43C2312yescomplemented
256#117×C43—21no—
257#117×C43—21no—
258#117×C43—22no—
259#117×C43C2311yescharacteristic
260#117×C43C2311yescharacteristic
261#117×C43C2311yescharacteristic
262#117×C43C2311yescharacteristic
263#117×C43C2311yescharacteristic
264#117×C43C2311yescharacteristic
265#117×C43C2312yescomplemented
266C2×C4⋊C4×C43C2311yescharacteristic
267C2×C4⋊C4×C43C2311yescharacteristic
268C2×C4⋊C4×C43C2311yescharacteristic
269C2×C4⋊C4×C43C2312yescomplemented
270C2×C22⋊C4×C43—21no—
271C2×C22⋊C4×C43—21no—
272C2×C22⋊C4×C43—22no—
273C2×C22⋊C4×C43—22no—
274C2×C22⋊C4×C43—22no—
275C2×C22⋊C4×C43—22no—
276C2×C42×C43—21no—
277#107×C43C2311yescharacteristic, complemented
278#107×C43C2311yescharacteristic, complemented
279#107×C43C2311yescharacteristic, complemented
280#107×C43C2311yescharacteristic, complemented
281#107×C43C2312yescomplemented
282#106×C43C2311yescharacteristic, complemented
283#106×C43C2311yescharacteristic, complemented
284#106×C43C2311yescharacteristic, complemented
285#106×C43C2311yescharacteristic, complemented
286#106×C43C2312yescomplemented
287C4⋊C8×C43C2312yescomplemented
288C4⋊C8×C43C2312yescomplemented
289#103×C43C2311yescharacteristic, complemented
290#103×C43C2311yescharacteristic, complemented
291#103×C43C2312yescomplemented
292#103×C43C2311yescharacteristic, complemented
293#103×C43C2311yescharacteristic, complemented
294#102×C43C2312yes—
295#102×C43C2312yes—
296#102×C43C2312yes—
297#102×C43C2312yes—
298#102×C43C2312yes—
299#102×C43C2312yes—
300#102×C43C2312yes—
301#102×C43C2312yes—
302#102×C43C2312yes—
303#102×C43C2312yes—
304#102×C43C2312yes—
305#102×C43C2312yes—
306#102×C43C2311yescharacteristic, complemented
307#102×C43C2312yescomplemented
308#102×C43C2311yescharacteristic, complemented
309#102×C43C2311yescharacteristic, complemented
310#102×C43C2311yescharacteristic, complemented
311#102×C43C2312yescomplemented
312#102×C43C2312yescomplemented
313C22⋊C8×C43C2311yescharacteristic
314C22⋊C8×C43C2311yescharacteristic
315C22⋊C8×C43C2311yescharacteristic
316C22⋊C8×C43C2311yescharacteristic
317C22⋊C8×C43C2312yescomplemented
318C22⋊C8×C43C2312yescomplemented
319#97×C43C2312yescomplemented
320C4×C8×C43C2312yescomplemented
321C24×C43—21no—
322C24×C43—22no—
323C24×C43—22no—
324C24×C43—21no—
325C24×C43—21no—
326C24×C43—22no—
327C24×C43—44no—
328C24×C43—82no—
329C24×C43—82no—
330C24×C43C2×D411yescharacteristic
331#41×C43—22no—
332#41×C43—22no—
333#41×C43—24no—
334#41×C43—22no—
335#41×C43—22no—
336#41×C43—42no—
337#41×C43—44no—
338#41×C43—84no—
339C2×Q8×C43—22no—
340C2×Q8×C43C2×D411yescharacteristic
341C2×Q8×C43C2411yescharacteristic
342C2×D4×C43—21no—
343C2×D4×C43—21no—
344C2×D4×C43—22no—
345C2×D4×C43—22no—
346C2×D4×C43—22no—
347C2×D4×C43—21no—
348C2×D4×C43—22no—
349C2×D4×C43—22no—
350C2×D4×C43—22no—
351C2×D4×C43—21no—
352C2×D4×C43—21no—
353C2×D4×C43—22no—
354C2×D4×C43—21no—
355C2×D4×C43—22no—
356C2×D4×C43—22no—
357C2×D4×C43—22no—
358C2×D4×C43—22no—
359C2×D4×C43—22no—
360C2×D4×C43—22no—
361C2×D4×C43—24no—
362C2×D4×C43—24no—
363C2×D4×C43—24no—
364C2×D4×C43—22no—
365C2×D4×C43—22no—
366C2×D4×C43—22no—
367C2×D4×C43—22no—
368C2×D4×C43—44no—
369C2×D4×C43—48no—
370C2×D4×C43—42no—
371C2×D4×C43—42no—
372C2×D4×C43—42no—
373C2×D4×C43—44no—
374C2×D4×C43—44no—
375C2×D4×C43—44no—
376C2×D4×C43—82no—
377C2×D4×C43—84no—
378C2×D4×C43—84no—
379C2×D4×C43C2×D412yes—
380C2×D4×C43C2×D411yescharacteristic
381C2×D4×C43C2×D412yes—
382C2×D4×C43C2×D412yes—
383C2×D4×C43#4114yescomplemented
384C2×D4×C43C2412yes—
385C2×D4×C43C2411yescharacteristic
386C2×D4×C43C2412yes—
387C2×D4×C43C2412yes—
388C22×C4×C43—22no—
389C22×C4×C43—22no—
390C22×C4×C43—22no—
391C22×C4×C43—21no—
392C22×C4×C43—22no—
393C22×C4×C43—22no—
394C22×C4×C43—22no—
395C22×C4×C43—22no—
396C22×C4×C43—21no—
397C22×C4×C43—21no—
398C22×C4×C43—21no—
399C22×C4×C43—22no—
400C22×C4×C43C2×D411yescharacteristic
401C22×C4×C43C2×D411yescharacteristic
402C22×C4×C43C2×D411yescharacteristic
403C22×C4×C43C2411yescharacteristic
404C22×C4×C43C2411yescharacteristic
405C22×C4×C43C2412yes—
406C22×C4×C43C2411yescharacteristic
407SD16×C43—42no—
408D8×C43—24no—
409D8×C43—24no—
410D8×C43—42no—
411D8×C43—42no—
412D8×C43—42no—
413M16×C43—22no—
414M16×C43—22no—
415M16×C43—42no—
416M16×C43—42no—
417C2×C8×C43—22no—
418C2×C8×C43—22no—
419C2×C8×C43—42no—
420C2×C8×C43—42no—
421C2×C8×C43C2411yescharacteristic
422C2×C8×C43C2412yes—
423C2×C8×C43C2411yescharacteristic
424C2×C8×C43C2411yescharacteristic
425C2×C8×C43C2411yescharacteristic
426C2×C8×C43C2412yes—
427C4⋊C4×C43—21no—
428C4⋊C4×C43—21no—
429C4⋊C4×C43—21no—
430C4⋊C4×C43—22no—
431C4⋊C4×C43—22no—
432C4⋊C4×C43—21no—
433C4⋊C4×C43—21no—
434C4⋊C4×C43—22no—
435C4⋊C4×C43—22no—
436C4⋊C4×C43C2×D412yes—
437C4⋊C4×C43C2×D411yescharacteristic
438C4⋊C4×C43C2×D411yescharacteristic
439C4⋊C4×C43C2×D412yes—
440C4⋊C4×C43C2411yescharacteristic
441C4⋊C4×C43C2412yes—
442C4⋊C4×C43C2411yescharacteristic
443C4⋊C4×C43C2411yescharacteristic
444C4⋊C4×C43C2411yescharacteristic
445C4⋊C4×C43C2411yescharacteristic
446C4⋊C4×C43C2411yescharacteristic
447C22⋊C4×C43—22no—
448C22⋊C4×C43—22no—
449C22⋊C4×C43—22no—
450C22⋊C4×C43—22no—
451C22⋊C4×C43—22no—
452C22⋊C4×C43—22no—
453C22⋊C4×C43—22no—
454C22⋊C4×C43—22no—
455C22⋊C4×C43—22no—
456C22⋊C4×C43—22no—
457C22⋊C4×C43—22no—
458C22⋊C4×C43—21no—
459C22⋊C4×C43—21no—
460C22⋊C4×C43—22no—
461C22⋊C4×C43—21no—
462C22⋊C4×C43—21no—
463C22⋊C4×C43—21no—
464C22⋊C4×C43—21no—
465C22⋊C4×C43—21no—
466C22⋊C4×C43—21no—
467C22⋊C4×C43—21no—
468C22⋊C4×C43—22no—
469C22⋊C4×C43C2×D412yes—
470C22⋊C4×C43C2×D412yes—
471C22⋊C4×C43C2×D412yes—
472C22⋊C4×C43C2×D412yes—
473C22⋊C4×C43C2×D412yes—
474C42×C43—21no—
475C42×C43—21no—
476C42×C43—21no—
477C42×C43—21no—
478C42×C43—22no—
479C42×C43—21no—
480C42×C43C2412yes—
481C23×C43—22no—
482C23×C43—22no—
483C23×C43—22no—
484C23×C43—24no—
485C23×C43—22no—
486C23×C43—22no—
487C23×C43—21no—
488C23×C43—41no—
489C23×C43—44no—
490C23×C43—44no—
491C23×C43—44no—
492C23×C43—44no—
493C23×C43—42no—
494C23×C43—44no—
495C23×C43—42no—
496C23×C43—81no—
497C23×C43—81no—
498C23×C43—82no—
499C23×C43—81no—
500C23×C43—81no—
501C23×C43—82no—
502C23×C43—81no—
503C23×C43—82no—
504C23×C43—82no—
505C23×C43—81no—
506C23×C43—816no—
507C23×C43C22×D411yescharacteristic
508C23×C43C22×D412yes—
509C23×C43C22×D411yescharacteristic
510C23×C43C22×D411yescharacteristic
511Q8×C43—22no—
512Q8×C43—21no—
513Q8×C43—21no—
514Q8×C43—82no—
515D4×C43—24no—
516D4×C43—24no—
517D4×C43—24no—
518D4×C43—22no—
519D4×C43—22no—
520D4×C43—22no—
521D4×C43—21no—
522D4×C43—22no—
523D4×C43—22no—
524D4×C43—22no—
525D4×C43—21no—
526D4×C43—42no—
527D4×C43—44no—
528D4×C43—44no—
529D4×C43—44no—
530D4×C43—44no—
531D4×C43—42no—
532D4×C43—42no—
533D4×C43—42no—
534D4×C43—44no—
535D4×C43—42no—
536D4×C43—42no—
537D4×C43—82no—
538D4×C43—82no—
539D4×C43—82no—
540D4×C43—82no—
541D4×C43—82no—
542D4×C43—82no—
543D4×C43—82no—
544D4×C43C2×#4114yes—
545C2×C4×C43—22no—
546C2×C4×C43—22no—
547C2×C4×C43—22no—
548C2×C4×C43—21no—
549C2×C4×C43—21no—
550C2×C4×C43—22no—
551C2×C4×C43—21no—
552C2×C4×C43—22no—
553C2×C4×C43—21no—
554C2×C4×C43—21no—
555C2×C4×C43—21no—
556C2×C4×C43—21no—
557C2×C4×C43—21no—
558C2×C4×C43—21no—
559C2×C4×C43—21no—
560C2×C4×C43—22no—
561C2×C4×C43—21no—
562C2×C4×C43—44no—
563C2×C4×C43—42no—
564C2×C4×C43—42no—
565C2×C4×C43—82no—
566C2×C4×C43—82no—
567C2×C4×C43—82no—
568C2×C4×C43—82no—
569C2×C4×C43—81no—
570C2×C4×C43—81no—
571C2×C4×C43—82no—
572C2×C4×C43C22×D411yescharacteristic
573C2×C4×C43C22×D412yes—
574C2×C4×C43C22×D412yes—
575C2×C4×C43C22×D412yes—
576C2×C4×C43C22×D411yescharacteristic
577C2×C4×C43C22×D411yescharacteristic
578C2×C4×C43C2×#4112yes—
579C2×C4×C43H(5,𝔽2)12yes—
580C2×C4×C43C2511yescharacteristic
581C8×C43—21no—
582C8×C43—21no—
583C8×C43—21no—
584C8×C43—21no—
585C8×C43—22no—
586C8×C43—22no—
587#61183C4311yesmaximal, characteristic, direct product factor, Sylow
588C22×C43—21no—
589C22×C43—21no—
590C22×C43—21no—
591C22×C43—21no—
592C22×C43—21no—
593C22×C43—22no—
594C22×C43—24no—
595C22×C43—21no—
596C22×C43—22no—
597C22×C43—21no—
598C22×C43—22no—
599C22×C43—44no—
600C22×C43—42no—
601C22×C43—42no—
602C22×C43—42no—
603C22×C43—41no—
604C22×C43—42no—
605C22×C43—42no—
606C22×C43—41no—
607C22×C43—42no—
608C22×C43—42no—
609C22×C43—41no—
610C22×C43—42no—
611C22×C43—84no—
612C22×C43—88no—
613C22×C43—84no—
614C22×C43—88no—
615C22×C43—162no—
616C22×C43—164no—
617C22×C43#54612yes—
618C22×C43#57612yes—
619C22×C43C23×D411yescharacteristic
620C4×C43—22no—
621C4×C43—21no—
622C4×C43—21no—
623C4×C43—22no—
624C4×C43—22no—
625C4×C43—41no—
626C4×C43—41no—
627C4×C43—41no—
628C4×C43—41no—
629C4×C43—41no—
630C4×C43—41no—
631C4×C43—41no—
632C4×C43—42no—
633C4×C43#54612yes—
634C4×C43C22×#4111yescharacteristic
635C4×C43C2×H(5,𝔽2)11yescharacteristic
636#3494C2×C4311yescharacteristic, complemented
637#3484C2×C4311yescharacteristic, complemented
638#3325C2×C4312yescomplemented
639#3322C2×C4312yescomplemented
640#3319C2×C4312yescomplemented
641#3318C2×C4312yescomplemented
642#3318C2×C4312yescomplemented
643#3306C2×C4312yescomplemented
644#3297C2×C4312yescomplemented
645#3294C2×C4312yescomplemented
646#3136C2×C4311yescharacteristic, complemented
647#3096C2×C4311yescharacteristic, complemented
648#3091C2×C4311yescharacteristic, complemented
649#3081C2×C4311yescharacteristic, complemented
650#3058C2×C4311yescharacteristic, complemented
651#3055C2×C4311yescharacteristic, complemented
652#3041C2×C4311yescharacteristic, complemented
653#3008C2×C4311yescharacteristic, complemented
654C2×#447C2×C4311yescharacteristic, complemented
655#2948C2×C4311yescharacteristic, complemented
656#2933C2×C4311yescharacteristic, complemented
657#2897C2×C4311yescharacteristic, complemented
658C2×#418C2×C4311yescharacteristic, complemented
659C2×C43—22no—
660C2×C43—22no—
661C2×C43—41no—
662C2×C43—42no—
663C2×C43—44no—
664C2×C43—82no—
665C2×C43—82no—
666C2×C43—81no—
667C2×C43C2×#54611yescharacteristic
668C2×C43C2×#57611yescharacteristic
669C2×C43#358511yescharacteristic
670C2×H(5,𝔽2)C22×C4311yescharacteristic
671C23×D4C22×C4311yescharacteristic
672C2×AGL(1,ℤ/8)C22×C4311yescharacteristic, complemented
673C22×D8C22×C4311yescharacteristic
674C22×D8C22×C4311yescharacteristic, complemented
675C2×#131C22×C4311yescharacteristic, complemented
676C22×M16C22×C4311yescharacteristic, complemented
677#555C22×C4312yescomplemented
678#553C22×C4312yescomplemented
679#553C22×C4312yescomplemented
680#551—22no—
681#547C22×C4312yescomplemented
682#546—21no—
683#546—21no—
684#546—22no—
685#546C22×C4312yescomplemented
686#546C22×C4312yescomplemented
687D42—21no—
688D42—21no—
689D42C22×C4312yescomplemented
690D42C22×C4312yescomplemented
691#544C22×C4311yescharacteristic, complemented
692#542—21no—
693#540—21no—
694#535C22×C4311yescharacteristic
695#535C22×C4311yescharacteristic
696#535C22×C4311yescharacteristic, complemented
697#534—22no—
698#532—21no—
699#529—21no—
700#525C22×C4311yescharacteristic
701#525C22×C4311yescharacteristic
702C2×#121C22×C4311yescharacteristic, complemented
703C2×#120—22no—
704#520C22×C4311yescharacteristic, complemented
705#518C22×C4311yescharacteristic
706#518C22×C4311yescharacteristic, complemented
707C2×#117C22×C4311yescharacteristic, complemented
708#490C22×C4312yescomplemented
709#489C22×C4312yescomplemented
710#488C22×C4312yescomplemented
711#486C22×C4312yescomplemented
712#485C22×C4311yescharacteristic, complemented
713#485C22×C4311yescharacteristic, complemented
714#484C22×C4311yescharacteristic, complemented
715#483C22×C4311yescharacteristic, complemented
716#482C22×C4311yescharacteristic, complemented
717#482C22×C4311yescharacteristic, complemented
718#482C22×C4312yescomplemented
719#482C22×C4312yescomplemented
720#481C22×C4311yescharacteristic, complemented
721#481C22×C4312yescomplemented
722#480C22×C4311yescharacteristic, complemented
723#480C22×C4312yescomplemented
724#478C22×C4312yescomplemented
725#478C22×C4312yescomplemented
726#476C22×C4312yescomplemented
727#474C22×C4312yescomplemented
728#469C22×C4312yescomplemented
729#469C22×C4312yescomplemented
730#469C22×C4312yescomplemented
731#468C22×C4312yescomplemented
732#466C22×C4312yescomplemented
733#466C22×C4312yescomplemented
734#466C22×C4312yescomplemented
735#465C22×C4312yescomplemented
736#463C22×C4312yescomplemented
737#463C22×C4312yescomplemented
738#459C22×C4312yescomplemented
739#459C22×C4312yescomplemented
740#449C22×C4312yescomplemented
741#449C22×C4312yescomplemented
742#447C22×C4312yescomplemented
743#447C22×C4312yescomplemented
744#447C22×C4312yescomplemented
745#447C22×C4312yescomplemented
746#447C22×C4312yescomplemented
747#447C22×C4312yescomplemented
748#442C22×C4312yescomplemented
749#442C22×C4312yescomplemented
750C4×D8C22×C4312yescomplemented
751C4×D8C22×C4312yescomplemented
752#436C22×C4312yescomplemented
753#435C22×C4312yescomplemented
754#435C22×C4312yescomplemented
755C8×D4C22×C4312yescomplemented
756#428C22×C4311yescharacteristic, complemented
757#427C22×C4311yescharacteristic, complemented
758#427C22×C4311yescharacteristic, complemented
759#424C22×C4311yescharacteristic, complemented
760#418C22×C4311yescharacteristic
761#418C22×C4311yescharacteristic
762#418C22×C4311yescharacteristic, complemented
763#418C22×C4311yescharacteristic, complemented
764#418C22×C4312yescomplemented
765#418C22×C4312yescomplemented
766#418C22×C4312yescomplemented
767#418C22×C4311yescharacteristic, complemented
768#417C22×C4312yescomplemented
769#417C22×C4311yescharacteristic, complemented
770#416C22×C4312yescomplemented
771#416C22×C4311yescharacteristic, complemented
772#416C22×C4311yescharacteristic, complemented
773C2×#102C22×C4311yescharacteristic
774C2×#102C22×C4311yescharacteristic, complemented
775C2×#102C22×C4312yescomplemented
776C2×#102C22×C4312yescomplemented
777C2×#102C22×C4312yescomplemented
778#408C22×C4311yescharacteristic, complemented
779C2×C22⋊C8C22×C4311yescharacteristic, complemented
780#405C22×C4311yescharacteristic, complemented
781C43#6118311yescharacteristic, direct product factor, Sylow
782C25—21no—
783H(5,𝔽2)—24no—
784H(5,𝔽2)—42no—
785C2×#41—21no—
786C2×#41—22no—
787C2×#41C23×C4311yescharacteristic
788C2×#41C23×C4312yes—
789C2×#41C23×C4311yescharacteristic
790C22×D4—24no—
791C22×D4—21no—
792C22×D4—22no—
793C22×D4—21no—
794C22×D4—22no—
795C22×D4—22no—
796C22×D4—21no—
797C22×D4—21no—
798C22×D4—21no—
799C22×D4—42no—
800C22×D4C23×C4311yescharacteristic
801C22×D4C23×C4311yescharacteristic
802C22×D4C23×C4312yes—
803C22×D4C23×C4312yes—
804C22×D4C23×C4312yes—
805C22×D4C23×C4311yescharacteristic
806C23×C4C23×C4311yescharacteristic
807AGL(1,ℤ/8)—42no—
808C2×SD16C23×C4312yescomplemented
809C2×D8—24no—
810C2×D8—42no—
811C2×D8C23×C4312yes—
812C2×D8C23×C4312yes—
813C2×D8C23×C4312yes—
814C2×D8C23×C4312yes—
815C2×D8C23×C4312yescomplemented
816#131—42no—
817C2×M16—42no—
818C2×M16C23×C4311yescharacteristic
819C2×M16C23×C4311yescharacteristic
820C2×M16C23×C4312yes—
821C2×M16C23×C4312yescomplemented
822C22×C8C23×C4311yescharacteristic
823C22×C8C23×C4311yescharacteristic
824C22×C8C23×C4312yes—
825C22×C8C23×C4312yescomplemented
826C4⋊Q8—21no—
827C4⋊Q8C23×C4312yescomplemented
828#127—21no—
829#127—21no—
830#127C23×C4312yes—
831#126—22no—
832#126—22no—
833#125—21no—
834#125C23×C4312yescomplemented
835#124—21no—
836#124—21no—
837#124—22no—
838#124—22no—
839#124C23×C4312yes—
840#123—21no—
841#123—22no—
842#123—22no—
843#123—22no—
844#123—22no—
845#123—22no—
846#123—22no—
847#123D4×C4312yes—
848C22⋊Q8—22no—
849C22⋊Q8—22no—
850C22⋊Q8D4×C4311yescharacteristic
851C22⋊Q8D4×C4311yescharacteristic
852C22⋊Q8C23×C4311yescharacteristic
853C22⋊Q8C23×C4311yescharacteristic
854#121—22no—
855#121—22no—
856#121—22no—
857#121—21no—
858#121—21no—
859#121—22no—
860#121—22no—
861#121—21no—
862#121—21no—
863#121—22no—
864#121—22no—
865#121D4×C4311yescharacteristic
866#121D4×C4311yescharacteristic
867#121C23×C4312yes—
868#121C23×C4312yes—
869#121C23×C4311yescharacteristic
870#121C23×C4311yescharacteristic
871#121C23×C4312yes—
872#121C23×C4312yes—
873#121C23×C4312yescomplemented
874#121C23×C4312yescomplemented
875#120—21no—
876#120—22no—
877#120—22no—
878#120—22no—
879#120—22no—
880#120—22no—
881#120—22no—
882#120—22no—
883#120—22no—
884#120—22no—
885#120D4×C4312yes—
886C4×Q8—21no—
887C4×D4—21no—
888C4×D4—22no—
889C4×D4—21no—
890C4×D4—21no—
891C4×D4—21no—
892C4×D4—21no—
893C4×D4—21no—
894C4×D4—21no—
895C4×D4—22no—
896C4×D4—22no—
897C4×D4C23×C4312yes—
898C4×D4C23×C4312yes—
899C4×D4C23×C4312yes—
900C4×D4C23×C4312yes—
901C4×D4C23×C4312yescomplemented
902C4×D4C23×C4312yescomplemented
903#117—21no—
904#117—21no—
905#117—22no—
906#117C23×C4311yescharacteristic
907#117C23×C4311yescharacteristic
908#117C23×C4311yescharacteristic
909#117C23×C4311yescharacteristic
910#117C23×C4311yescharacteristic
911#117C23×C4311yescharacteristic
912#117C23×C4312yescomplemented
913C2×C4⋊C4C23×C4311yescharacteristic
914C2×C4⋊C4C23×C4311yescharacteristic
915C2×C4⋊C4C23×C4311yescharacteristic
916C2×C4⋊C4C23×C4312yescomplemented
917C2×C22⋊C4—21no—
918C2×C22⋊C4—21no—
919C2×C22⋊C4—22no—
920C2×C22⋊C4—22no—
921C2×C22⋊C4—22no—
922C2×C22⋊C4—22no—
923C2×C42—21no—
924#107C23×C4311yescharacteristic, complemented
925#107C23×C4311yescharacteristic, complemented
926#107C23×C4311yescharacteristic, complemented
927#107C23×C4311yescharacteristic, complemented
928#107C23×C4312yescomplemented
929#106C23×C4311yescharacteristic, complemented
930#106C23×C4311yescharacteristic, complemented
931#106C23×C4311yescharacteristic, complemented
932#106C23×C4311yescharacteristic, complemented
933#106C23×C4312yescomplemented
934C4⋊C8C23×C4312yescomplemented
935C4⋊C8C23×C4312yescomplemented
936#103C23×C4311yescharacteristic, complemented
937#103C23×C4311yescharacteristic, complemented
938#103C23×C4312yescomplemented
939#103C23×C4311yescharacteristic, complemented
940#103C23×C4311yescharacteristic, complemented
941#102C23×C4312yes—
942#102C23×C4312yes—
943#102C23×C4312yes—
944#102C23×C4312yes—
945#102C23×C4312yes—
946#102C23×C4312yes—
947#102C23×C4312yes—
948#102C23×C4312yes—
949#102C23×C4312yes—
950#102C23×C4312yes—
951#102C23×C4312yes—
952#102C23×C4312yes—
953#102C23×C4311yescharacteristic, complemented
954#102C23×C4312yescomplemented
955#102C23×C4311yescharacteristic, complemented
956#102C23×C4311yescharacteristic, complemented
957#102C23×C4311yescharacteristic, complemented
958#102C23×C4312yescomplemented
959#102C23×C4312yescomplemented
960C22⋊C8C23×C4311yescharacteristic
961C22⋊C8C23×C4311yescharacteristic
962C22⋊C8C23×C4311yescharacteristic
963C22⋊C8C23×C4311yescharacteristic
964C22⋊C8C23×C4312yescomplemented
965C22⋊C8C23×C4312yescomplemented
966#97C23×C4312yescomplemented
967C4×C8C23×C4312yescomplemented
968C24—21no—
969C24—22no—
970C24—22no—
971C24—21no—
972C24—21no—
973C24—22no—
974C24—44no—
975C24—82no—
976C24—82no—
977C24C2×D4×C4311yescharacteristic
978#41—22no—
979#41—22no—
980#41—24no—
981#41—22no—
982#41—22no—
983#41—42no—
984#41—44no—
985#41—84no—
986C2×Q8—22no—
987C2×Q8C2×D4×C4311yescharacteristic
988C2×Q8C24×C4311yescharacteristic
989C2×D4—24no—
990C2×D4—24no—
991C2×D4—24no—
992C2×D4—21no—
993C2×D4—21no—
994C2×D4—22no—
995C2×D4—21no—
996C2×D4—22no—
997C2×D4—22no—
998C2×D4—22no—
999C2×D4—22no—
1000C2×D4—22no—
1001C2×D4—22no—
1002C2×D4—21no—
1003C2×D4—21no—
1004C2×D4—22no—
1005C2×D4—22no—
1006C2×D4—22no—
1007C2×D4—21no—
1008C2×D4—22no—
1009C2×D4—22no—
1010C2×D4—22no—
1011C2×D4—22no—
1012C2×D4—22no—
1013C2×D4—22no—
1014C2×D4—22no—
1015C2×D4—42no—
1016C2×D4—42no—
1017C2×D4—42no—
1018C2×D4—44no—
1019C2×D4—44no—
1020C2×D4—44no—
1021C2×D4—44no—
1022C2×D4—48no—
1023C2×D4—84no—
1024C2×D4—82no—
1025C2×D4—84no—
1026C2×D4C2×D4×C4312yes—
1027C2×D4C2×D4×C4311yescharacteristic
1028C2×D4C2×D4×C4312yes—
1029C2×D4C2×D4×C4312yes—
1030C2×D4#41×C4314yescomplemented
1031C2×D4C24×C4312yes—
1032C2×D4C24×C4311yescharacteristic
1033C2×D4C24×C4312yes—
1034C2×D4C24×C4312yes—
1035C22×C4—22no—
1036C22×C4—22no—
1037C22×C4—21no—
1038C22×C4—21no—
1039C22×C4—21no—
1040C22×C4—22no—
1041C22×C4—22no—
1042C22×C4—21no—
1043C22×C4—22no—
1044C22×C4—22no—
1045C22×C4—22no—
1046C22×C4—22no—
1047C22×C4C2×D4×C4311yescharacteristic
1048C22×C4C2×D4×C4311yescharacteristic
1049C22×C4C2×D4×C4311yescharacteristic
1050C22×C4C24×C4311yescharacteristic
1051C22×C4C24×C4311yescharacteristic
1052C22×C4C24×C4312yes—
1053C22×C4C24×C4311yescharacteristic
1054SD16—42no—
1055D8—24no—
1056D8—24no—
1057D8—42no—
1058D8—42no—
1059D8—42no—
1060M16—22no—
1061M16—22no—
1062M16—42no—
1063M16—42no—
1064C2×C8—22no—
1065C2×C8—22no—
1066C2×C8—42no—
1067C2×C8—42no—
1068C2×C8C24×C4311yescharacteristic
1069C2×C8C24×C4312yes—
1070C2×C8C24×C4311yescharacteristic
1071C2×C8C24×C4311yescharacteristic
1072C2×C8C24×C4311yescharacteristic
1073C2×C8C24×C4312yes—
1074C4⋊C4—21no—
1075C4⋊C4—21no—
1076C4⋊C4—21no—
1077C4⋊C4—22no—
1078C4⋊C4—22no—
1079C4⋊C4—21no—
1080C4⋊C4—21no—
1081C4⋊C4—22no—
1082C4⋊C4—22no—
1083C4⋊C4C2×D4×C4312yes—
1084C4⋊C4C2×D4×C4311yescharacteristic
1085C4⋊C4C2×D4×C4311yescharacteristic
1086C4⋊C4C2×D4×C4312yes—
1087C4⋊C4C24×C4311yescharacteristic
1088C4⋊C4C24×C4312yes—
1089C4⋊C4C24×C4311yescharacteristic
1090C4⋊C4C24×C4311yescharacteristic
1091C4⋊C4C24×C4311yescharacteristic
1092C4⋊C4C24×C4311yescharacteristic
1093C4⋊C4C24×C4311yescharacteristic
1094C22⋊C4—21no—
1095C22⋊C4—21no—
1096C22⋊C4—21no—
1097C22⋊C4—21no—
1098C22⋊C4—21no—
1099C22⋊C4—21no—
1100C22⋊C4—21no—
1101C22⋊C4—22no—
1102C22⋊C4—22no—
1103C22⋊C4—22no—
1104C22⋊C4—22no—
1105C22⋊C4—22no—
1106C22⋊C4—22no—
1107C22⋊C4—22no—
1108C22⋊C4—22no—
1109C22⋊C4—22no—
1110C22⋊C4—22no—
1111C22⋊C4—22no—
1112C22⋊C4—22no—
1113C22⋊C4—21no—
1114C22⋊C4—21no—
1115C22⋊C4—22no—
1116C22⋊C4C2×D4×C4312yes—
1117C22⋊C4C2×D4×C4312yes—
1118C22⋊C4C2×D4×C4312yes—
1119C22⋊C4C2×D4×C4312yes—
1120C22⋊C4C2×D4×C4312yes—
1121C42—21no—
1122C42—21no—
1123C42—21no—
1124C42—21no—
1125C42—22no—
1126C42—21no—
1127C42C24×C4312yes—
1128C23—22no—
1129C23—22no—
1130C23—22no—
1131C23—24no—
1132C23—22no—
1133C23—22no—
1134C23—21no—
1135C23—41no—
1136C23—44no—
1137C23—44no—
1138C23—44no—
1139C23—44no—
1140C23—42no—
1141C23—44no—
1142C23—42no—
1143C23—81no—
1144C23—81no—
1145C23—82no—
1146C23—81no—
1147C23—81no—
1148C23—82no—
1149C23—81no—
1150C23—82no—
1151C23—82no—
1152C23—81no—
1153C23—816no—
1154C23C22×D4×C4311yescharacteristic
1155C23C22×D4×C4312yes—
1156C23C22×D4×C4311yescharacteristic
1157C23C22×D4×C4311yescharacteristic
1158Q8—22no—
1159Q8—21no—
1160Q8—21no—
1161Q8—82no—
1162D4—24no—
1163D4—24no—
1164D4—24no—
1165D4—22no—
1166D4—22no—
1167D4—22no—
1168D4—21no—
1169D4—22no—
1170D4—22no—
1171D4—22no—
1172D4—21no—
1173D4—42no—
1174D4—44no—
1175D4—44no—
1176D4—44no—
1177D4—44no—
1178D4—42no—
1179D4—42no—
1180D4—42no—
1181D4—44no—
1182D4—42no—
1183D4—42no—
1184D4—82no—
1185D4—82no—
1186D4—82no—
1187D4—82no—
1188D4—82no—
1189D4—82no—
1190D4—82no—
1191D4C2×#41×C4314yes—
1192C2×C4—22no—
1193C2×C4—22no—
1194C2×C4—22no—
1195C2×C4—21no—
1196C2×C4—21no—
1197C2×C4—22no—
1198C2×C4—21no—
1199C2×C4—22no—
1200C2×C4—21no—
1201C2×C4—21no—
1202C2×C4—21no—
1203C2×C4—21no—
1204C2×C4—21no—
1205C2×C4—21no—
1206C2×C4—21no—
1207C2×C4—22no—
1208C2×C4—21no—
1209C2×C4—44no—
1210C2×C4—42no—
1211C2×C4—42no—
1212C2×C4—82no—
1213C2×C4—82no—
1214C2×C4—82no—
1215C2×C4—82no—
1216C2×C4—81no—
1217C2×C4—82no—
1218C2×C4—81no—
1219C2×C4C22×D4×C4311yescharacteristic
1220C2×C4C22×D4×C4312yes—
1221C2×C4C22×D4×C4312yes—
1222C2×C4C22×D4×C4312yes—
1223C2×C4C22×D4×C4311yescharacteristic
1224C2×C4C22×D4×C4311yescharacteristic
1225C2×C4C2×#41×C4312yes—
1226C2×C4H(5,𝔽2)×C4312yes—
1227C2×C4C25×C4311yescharacteristic
1228C8—21no—
1229C8—21no—
1230C8—21no—
1231C8—21no—
1232C8—22no—
1233C8—22no—
1234C22—21no—
1235C22—21no—
1236C22—21no—
1237C22—21no—
1238C22—21no—
1239C22—22no—
1240C22—24no—
1241C22—22no—
1242C22—21no—
1243C22—21no—
1244C22—22no—
1245C22—44no—
1246C22—42no—
1247C22—42no—
1248C22—41no—
1249C22—42no—
1250C22—42no—
1251C22—42no—
1252C22—41no—
1253C22—42no—
1254C22—42no—
1255C22—41no—
1256C22—42no—
1257C22—84no—
1258C22—88no—
1259C22—84no—
1260C22—88no—
1261C22—162no—
1262C22—164no—
1263C22C43×#54612yes—
1264C22C43×#57612yes—
1265C22C23×D4×C4311yescharacteristic
1266C4—21no—
1267C4—21no—
1268C4—22no—
1269C4—22no—
1270C4—22no—
1271C4—41no—
1272C4—41no—
1273C4—41no—
1274C4—41no—
1275C4—42no—
1276C4—41no—
1277C4—41no—
1278C4—41no—
1279C4C43×#54612yes—
1280C4C22×#41×C4311yescharacteristic
1281C4C2×H(5,𝔽2)×C4311yescharacteristic
1282C2—22no—
1283C2—22no—
1284C2—41no—
1285C2—42no—
1286C2—44no—
1287C2—82no—
1288C2—81no—
1289C2—82no—
1290C2C2×C43×#54611yescharacteristic
1291C2C2×C43×#57611yescharacteristic
1292C2C43×#358511yescharacteristic
subgroupG/H
center, socleC22×C43C23×D4
commutator, Frattini, cosocleC2×C4C25×C43
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C43 ◁ C43×#525 ◁ G

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C43×#3494C2semidirect
2. C43×#3484C2semidirect
3. C43×#3325C2semidirect
4. C43×#3322C2semidirect
5. C43×#3319C2semidirect
6. C43×#3318C2semidirect
7. C43×#3318C2semidirect
8. C43×#3306C2semidirect
9. C43×#3297C2semidirect
10. C43×#3294C2semidirect
11. C43×#3136C2semidirect
12. C43×#3096C2semidirect
13. C43×#3091C2semidirect
14. C43×#3081C2semidirect
15. C43×#3058C2semidirect
16. C43×#3055C2semidirect
17. C43×#3041C2semidirect
18. C43×#3008C2semidirect
19. C2×C43×#447C2semidirect
20. C43×#2948C2semidirect
21. C43×#2933C2semidirect
22. C43×#2897C2semidirect
23. C2×C43×#418C2semidirect
26. C2×AGL(1,ℤ/8)×C43C22semidirect
28. C22×D8×C43C22semidirect
29. C2×#131×C43C22semidirect
30. C22×M16×C43C22semidirect
31. C43×#555C22semidirect
32. C43×#553C22semidirect
33. C43×#553C22semidirect
35. C43×#547C22semidirect
39. C43×#546C22semidirect
40. C43×#546C22semidirect
43. D42×C43C22semidirect
44. D42×C43C22semidirect
45. C43×#544C22semidirect
50. C43×#535C22semidirect
56. C2×#121×C43C22semidirect
58. C43×#520C22semidirect
60. C43×#518C22semidirect
61. C2×#117×C43C22semidirect
62. C43×#490C22semidirect
63. C43×#489C22semidirect
64. C43×#488C22semidirect
65. C43×#486C22semidirect
66. C43×#485C22semidirect
67. C43×#485C22semidirect
68. C43×#484C22semidirect
69. C43×#483C22semidirect
70. C43×#482C22semidirect
71. C43×#482C22semidirect
72. C43×#482C22semidirect
73. C43×#482C22semidirect
74. C43×#481C22semidirect
75. C43×#481C22semidirect
76. C43×#480C22semidirect
77. C43×#480C22semidirect
78. C43×#478C22semidirect
79. C43×#478C22semidirect
80. C43×#476C22semidirect
81. C43×#474C22semidirect
82. C43×#469C22semidirect
83. C43×#469C22semidirect
84. C43×#469C22semidirect
85. C43×#468C22semidirect
86. C43×#466C22semidirect
87. C43×#466C22semidirect
88. C43×#466C22semidirect
89. C43×#465C22semidirect
90. C43×#463C22semidirect
91. C43×#463C22semidirect
92. C43×#459C22semidirect
93. C43×#459C22semidirect
94. C43×#449C22semidirect
95. C43×#449C22semidirect
96. C43×#447C22semidirect
97. C43×#447C22semidirect
98. C43×#447C22semidirect
99. C43×#447C22semidirect
100. C43×#447C22semidirect
101. C43×#447C22semidirect
102. C43×#442C22semidirect
103. C43×#442C22semidirect
104. C4×D8×C43C22semidirect
105. C4×D8×C43C22semidirect
106. C43×#436C22semidirect
107. C43×#435C22semidirect
108. C43×#435C22semidirect
109. C8×D4×C43C22semidirect
110. C43×#428C22semidirect
111. C43×#427C22semidirect
112. C43×#427C22semidirect
113. C43×#424C22semidirect
116. C43×#418C22semidirect
117. C43×#418C22semidirect
118. C43×#418C22semidirect
119. C43×#418C22semidirect
120. C43×#418C22semidirect
121. C43×#418C22semidirect
122. C43×#417C22semidirect
123. C43×#417C22semidirect
124. C43×#416C22semidirect
125. C43×#416C22semidirect
126. C43×#416C22semidirect
128. C2×#102×C43C22semidirect
129. C2×#102×C43C22semidirect
130. C2×#102×C43C22semidirect
131. C2×#102×C43C22semidirect
132. C43×#408C22semidirect
133. C2×C22⋊C8×C43C22semidirect
134. C43×#405C22semidirect
161. C2×SD16×C43C23semidirect
168. C2×D8×C43C23semidirect
174. C2×M16×C43C23semidirect
178. C22×C8×C43C23semidirect
180. C4⋊Q8×C43C23semidirect
187. #125×C43C23semidirect
226. #121×C43C23semidirect
227. #121×C43C23semidirect
254. C4×D4×C43C23semidirect
255. C4×D4×C43C23semidirect
265. #117×C43C23semidirect
269. C2×C4⋊C4×C43C23semidirect
277. #107×C43C23semidirect
278. #107×C43C23semidirect
279. #107×C43C23semidirect
280. #107×C43C23semidirect
281. #107×C43C23semidirect
282. #106×C43C23semidirect
283. #106×C43C23semidirect
284. #106×C43C23semidirect
285. #106×C43C23semidirect
286. #106×C43C23semidirect
287. C4⋊C8×C43C23semidirect
288. C4⋊C8×C43C23semidirect
289. #103×C43C23semidirect
290. #103×C43C23semidirect
291. #103×C43C23semidirect
292. #103×C43C23semidirect
293. #103×C43C23semidirect
306. #102×C43C23semidirect
307. #102×C43C23semidirect
308. #102×C43C23semidirect
309. #102×C43C23semidirect
310. #102×C43C23semidirect
311. #102×C43C23semidirect
312. #102×C43C23semidirect
317. C22⋊C8×C43C23semidirect
318. C22⋊C8×C43C23semidirect
319. #97×C43C23semidirect
320. C4×C8×C43C23semidirect
383. C2×D4×C43#41semidirect
587. #61183C43direct (N × H)
636. #3494C2×C43semidirect
637. #3484C2×C43semidirect
638. #3325C2×C43semidirect
639. #3322C2×C43semidirect
640. #3319C2×C43semidirect
641. #3318C2×C43semidirect
642. #3318C2×C43semidirect
643. #3306C2×C43semidirect
644. #3297C2×C43semidirect
645. #3294C2×C43semidirect
646. #3136C2×C43semidirect
647. #3096C2×C43semidirect
648. #3091C2×C43semidirect
649. #3081C2×C43semidirect
650. #3058C2×C43semidirect
651. #3055C2×C43semidirect
652. #3041C2×C43semidirect
653. #3008C2×C43semidirect
654. C2×#447C2×C43semidirect
655. #2948C2×C43semidirect
656. #2933C2×C43semidirect
657. #2897C2×C43semidirect
658. C2×#418C2×C43semidirect
672. C2×AGL(1,ℤ/8)C22×C43semidirect
674. C22×D8C22×C43semidirect
675. C2×#131C22×C43semidirect
676. C22×M16C22×C43semidirect
677. #555C22×C43semidirect
678. #553C22×C43semidirect
679. #553C22×C43semidirect
681. #547C22×C43semidirect
685. #546C22×C43semidirect
686. #546C22×C43semidirect
689. D42C22×C43semidirect
690. D42C22×C43semidirect
691. #544C22×C43semidirect
696. #535C22×C43semidirect
702. C2×#121C22×C43semidirect
704. #520C22×C43semidirect
706. #518C22×C43semidirect
707. C2×#117C22×C43semidirect
708. #490C22×C43semidirect
709. #489C22×C43semidirect
710. #488C22×C43semidirect
711. #486C22×C43semidirect
712. #485C22×C43semidirect
713. #485C22×C43semidirect
714. #484C22×C43semidirect
715. #483C22×C43semidirect
716. #482C22×C43semidirect
717. #482C22×C43semidirect
718. #482C22×C43semidirect
719. #482C22×C43semidirect
720. #481C22×C43semidirect
721. #481C22×C43semidirect
722. #480C22×C43semidirect
723. #480C22×C43semidirect
724. #478C22×C43semidirect
725. #478C22×C43semidirect
726. #476C22×C43semidirect
727. #474C22×C43semidirect
728. #469C22×C43semidirect
729. #469C22×C43semidirect
730. #469C22×C43semidirect
731. #468C22×C43semidirect
732. #466C22×C43semidirect
733. #466C22×C43semidirect
734. #466C22×C43semidirect
735. #465C22×C43semidirect
736. #463C22×C43semidirect
737. #463C22×C43semidirect
738. #459C22×C43semidirect
739. #459C22×C43semidirect
740. #449C22×C43semidirect
741. #449C22×C43semidirect
742. #447C22×C43semidirect
743. #447C22×C43semidirect
744. #447C22×C43semidirect
745. #447C22×C43semidirect
746. #447C22×C43semidirect
747. #447C22×C43semidirect
748. #442C22×C43semidirect
749. #442C22×C43semidirect
750. C4×D8C22×C43semidirect
751. C4×D8C22×C43semidirect
752. #436C22×C43semidirect
753. #435C22×C43semidirect
754. #435C22×C43semidirect
755. C8×D4C22×C43semidirect
756. #428C22×C43semidirect
757. #427C22×C43semidirect
758. #427C22×C43semidirect
759. #424C22×C43semidirect
762. #418C22×C43semidirect
763. #418C22×C43semidirect
764. #418C22×C43semidirect
765. #418C22×C43semidirect
766. #418C22×C43semidirect
767. #418C22×C43semidirect
768. #417C22×C43semidirect
769. #417C22×C43semidirect
770. #416C22×C43semidirect
771. #416C22×C43semidirect
772. #416C22×C43semidirect
774. C2×#102C22×C43semidirect
775. C2×#102C22×C43semidirect
776. C2×#102C22×C43semidirect
777. C2×#102C22×C43semidirect
778. #408C22×C43semidirect
779. C2×C22⋊C8C22×C43semidirect
780. #405C22×C43semidirect
781. C43#61183direct (N × H)
808. C2×SD16C23×C43semidirect
815. C2×D8C23×C43semidirect
821. C2×M16C23×C43semidirect
825. C22×C8C23×C43semidirect
827. C4⋊Q8C23×C43semidirect
834. #125C23×C43semidirect
873. #121C23×C43semidirect
874. #121C23×C43semidirect
901. C4×D4C23×C43semidirect
902. C4×D4C23×C43semidirect
912. #117C23×C43semidirect
916. C2×C4⋊C4C23×C43semidirect
924. #107C23×C43semidirect
925. #107C23×C43semidirect
926. #107C23×C43semidirect
927. #107C23×C43semidirect
928. #107C23×C43semidirect
929. #106C23×C43semidirect
930. #106C23×C43semidirect
931. #106C23×C43semidirect
932. #106C23×C43semidirect
933. #106C23×C43semidirect
934. C4⋊C8C23×C43semidirect
935. C4⋊C8C23×C43semidirect
936. #103C23×C43semidirect
937. #103C23×C43semidirect
938. #103C23×C43semidirect
939. #103C23×C43semidirect
940. #103C23×C43semidirect
953. #102C23×C43semidirect
954. #102C23×C43semidirect
955. #102C23×C43semidirect
956. #102C23×C43semidirect
957. #102C23×C43semidirect
958. #102C23×C43semidirect
959. #102C23×C43semidirect
964. C22⋊C8C23×C43semidirect
965. C22⋊C8C23×C43semidirect
966. #97C23×C43semidirect
967. C4×C8C23×C43semidirect
1030. C2×D4#41×C43semidirect

Maximal subgroups

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

subgroupindex
C43×#34942
C43×#34842
C43×#33252
C43×#33222
C43×#33192
C43×#33182
C43×#33062
C43×#32972
C43×#32942
C43×#31362
C43×#30962
C43×#30912
C43×#30812
C43×#30582
C43×#30552
C43×#30412
C43×#30082
C2×C43×#4472
C43×#29482
C43×#29332
C43×#28972
C2×C43×#4182
#6118343