Finite Group Databasebeta

← #25114933

Subgroups — #25114933

Order 11008.

1086 conjugacy classes of subgroups.

The subgroup lattice has 696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583009C211yesmaximal, characteristic
2C2×#14583009C211yesmaximal, characteristic
3C2×C4×#10621882C211yesmaximal, characteristic
4C4⋊C4×D172C211yesmaximal, characteristic, complemented
5#19135335C211yesmaximal, characteristic, complemented
6#19135320C211yesmaximal, characteristic, complemented
7#19134856C211yesmaximal, characteristic, complemented
8#19134855C211yesmaximal, characteristic, complemented
9#19134842C211yesmaximal, characteristic, complemented
10#19134841C211yesmaximal, characteristic, complemented
11#19134764C211yesmaximal, characteristic, complemented
12#19134602C211yesmaximal, characteristic, complemented
13#19134595C211yesmaximal, characteristic, complemented
14#19134470C211yesmaximal, characteristic, complemented
15C43×#2349C211yesmaximal, characteristic, complemented
16C22×#10621882C2211yescharacteristic
17C2×C4×D172C2211yescharacteristic
18C2×C4×D172C2211yescharacteristic
19C2×C4×D172C2211yescharacteristic
20C2×C4⋊C4×D43—21no—
21#14583009—24no—
22#14583009C418yescomplemented
23C4×#10621882—24no—
24C2×#13063258C2211yescharacteristic
25C2×#13063258C2211yescharacteristic
26C2×#13063256C2211yescharacteristic
27C2×#13063256C2211yescharacteristic
28C2×#13063256C2211yescharacteristic
29C2×C4⋊(C43⋊C8)C2211yescharacteristic
30C2×#13063246C2211yescharacteristic
31C2×#13063246C2211yescharacteristic
32C2×#13063246C2211yescharacteristic
33C2×#13063245C2211yescharacteristic
34C2×#13063245C2211yescharacteristic
35C2×#13063245C2211yescharacteristic
36C2×#13063236C2211yescharacteristic
37C2×#13063236C2211yescharacteristic
38C2×C4×C43⋊C8C2211yescharacteristic
39#14582797C2211yescharacteristic
40#14582797C2211yescharacteristic
41#14582773—21no—
42#14582773—21no—
43#14582769C2211yescharacteristic
44#14582756—21no—
45#14582661C2211yescharacteristic
46#14582661C2211yescharacteristic
47#14582661C2211yescharacteristic
48#14582661C2211yescharacteristic
49#14582654C2211yescharacteristic
50#14582654C2211yescharacteristic
51C2×C4×D4×C43C2211yescharacteristic
52C2×C4×D4×C43C2211yescharacteristic
53C2×C4×D4×C43C2211yescharacteristic
54C43×#389C2211yescharacteristic
55C43×#389C2211yescharacteristic
56C43×#385—21no—
57C43×#385—21no—
58C43×#382C2211yescharacteristic
59C43×#380—21no—
60C4×C4⋊C4×C43C2211yescharacteristic
61C2×#95×C43—21no—
62C22×D172C2311yescharacteristic
63C22×C4×D43—21no—
64C22×C4×D43—21no—
65C22×C4×D43—21no—
66C2×#10621882C2×C414yes—
67C2×#10621882D414yes—
68C2×#10621882Q814yes—
69C22×C43⋊C8C2311yescharacteristic
70C22×C43⋊C8C2311yescharacteristic
71C22×C43⋊C8C2311yescharacteristic
72C22×C43⋊C8C2311yescharacteristic
73C4×D172—22no—
74C4×D172—22no—
75C4×D172—22no—
76C4×D172—41no—
77C4×D172—41no—
78C4×D172C2×C414yescomplemented
79C2×C4⋊Dic43—21no—
80C2×C4⋊Dic43—21no—
81C2×C4⋊Dic43C2311yescharacteristic
82C2×C4⋊Dic43C2311yescharacteristic
83C2×C4⋊Dic43C2311yescharacteristic
84C2×Dic43⋊C4—21no—
85C2×Dic43⋊C4—21no—
86C4⋊C4×D43—44no—
87C2×(C2×D43)⋊C4—21no—
88C2×(C2×D43)⋊C4—21no—
89C2×(C2×D43)⋊C4—21no—
90#13063258—22no—
91#13063258—41no—
92#13063256—22no—
93#13063256—41no—
94#13063256C2×C414yescomplemented
95C4⋊(C43⋊C8)—22no—
96#13063246—22no—
97#13063246—22no—
98#13063246C2×C414yescomplemented
99#13063245—22no—
100#13063245—22no—
101#13063245C2×C414yescomplemented
102#13063236—22no—
103#13063236C2×C414yescomplemented
104C4×C43⋊C8—22no—
105C43⋊#95—21no—
106C43⋊#95—21no—
107C22×D4×C43C2311yescharacteristic
108C23×C4×C43—21no—
109C23×C4×C43—21no—
110C23×C4×C43—21no—
111C4×D4×C43—22no—
112C4×D4×C43—22no—
113C4×D4×C43—22no—
114C4×D4×C43—41no—
115C4×D4×C43—41no—
116C4×D4×C43C2×C414yescomplemented
117C2×C4⋊C4×C43—21no—
118C2×C4⋊C4×C43—21no—
119C2×C4⋊C4×C43D411yescharacteristic
120C2×C4⋊C4×C43D411yescharacteristic
121C2×C4⋊C4×C43C2311yescharacteristic
122C2×C4⋊C4×C43C2311yescharacteristic
123C2×C4⋊C4×C43C2311yescharacteristic
124C2×C22⋊C4×C43—21no—
125C2×C22⋊C4×C43—21no—
126C2×C22⋊C4×C43—21no—
127C2×C42×C43C2311yescharacteristic
128C2×C42×C43C2311yescharacteristic
129C2×C42×C43C2311yescharacteristic
130#95×C43—21no—
131#95×C43—21no—
132#95×C43—21no—
133#95×C43—21no—
134#95×C43D411yescharacteristic
135#95×C43D411yescharacteristic
136C24×C43—21no—
137C23×D43—21no—
138C2×D4×C43—21no—
139C2×D4×C43—21no—
140C2×D4×C43—21no—
141C2×D4×C43C22×C412yes—
142C2×D4×C43C2×D412yes—
143C2×D4×C43C2×Q812yes—
144C22×C4×C43—24no—
145C22×C4×C43—21no—
146C22×C4×C43—21no—
147C22×C4×C43—21no—
148C22×C4×C43—42no—
149C22×C4×C43—42no—
150C22×C4×C43—42no—
151C22×C4×C43—42no—
152C22×C4×C43—81no—
153C22×C4×C43—81no—
154C22×C4×C43—81no—
155C22×C4×C43—81no—
156C22×C4×C43C2×D411yescharacteristic
157C22×C4×C43C2×D411yescharacteristic
158C22×C4×C43C2×D411yescharacteristic
159C22×C4×C43C2×D411yescharacteristic
160C22×C4×C43C2×D411yescharacteristic
161C22×C4×C43C2×D411yescharacteristic
162C22×C4×C43C2411yescharacteristic
163C22×Dic43—21no—
164C22×Dic43—21no—
165C22×Dic43—21no—
166C2×D172—21no—
167C2×D172—21no—
168C2×D172—21no—
169C2×D172C22×C412yes—
170C2×D172C2×D412yes—
171C2×D172C2×Q812yes—
172C2×C4×D43—24no—
173C2×C4×D43—42no—
174C2×C4×D43—42no—
175C2×C4×D43—42no—
176C2×C4×D43—42no—
177C2×C4×D43—42no—
178C2×C4×D43—42no—
179C2×C4×D43—81no—
180C2×C4×D43—81no—
181C4⋊C4×C43—22no—
182C4⋊C4×C43—21no—
183C4⋊C4×C43—21no—
184C4⋊C4×C43—21no—
185C4⋊C4×C43—21no—
186C4⋊C4×C43—21no—
187C4⋊C4×C43—41no—
188C4⋊C4×C43—81no—
189C4⋊C4×C43—81no—
190C4⋊C4×C43C22×C412yes—
191C22⋊C4×C43—24no—
192C22⋊C4×C43—42no—
193C22⋊C4×C43—42no—
194C42×C43—21no—
195C42×C43—21no—
196C42×C43—21no—
197C42×C43—21no—
198C42×C43C22×C412yes—
199C42×C43#4112yes—
200#10621882C4⋊C4116yescomplemented
201(C2×D43)⋊C4—24no—
202(C2×D43)⋊C4—42no—
203(C2×D43)⋊C4—42no—
204C4⋊Dic43—21no—
205C4⋊Dic43—21no—
206C4⋊Dic43—21no—
207C4⋊Dic43—21no—
208C4⋊Dic43—21no—
209C4⋊Dic43—42no—
210C4⋊Dic43—81no—
211C4⋊Dic43C22×C412yes—
212Dic43⋊C4—42no—
213Dic43⋊C4—42no—
214C2×C43⋊C8—21no—
215C2×C43⋊C8—21no—
216C2×C43⋊C8—21no—
217C2×C43⋊C8—21no—
218C2×C43⋊C8—21no—
219C2×C43⋊C8—21no—
220C2×C43⋊C8—21no—
221C2×C43⋊C8—21no—
222C2×C43⋊C8C22×C412yes—
223C2×C43⋊C8C22×C412yes—
224C2×C43⋊C8C2×D412yes—
225C2×C43⋊C8C2×Q812yes—
226C23×C43—22no—
227C23×C43—22no—
228C23×C43—22no—
229C23×C43—41no—
230C23×C43—41no—
231C23×C43—41no—
232C23×C43—41no—
233C23×C43C22×D411yescharacteristic
234C22×D43—22no—
235C22×D43—22no—
236C22×D43—22no—
237C22×D43—41no—
238C22×D43—41no—
239C22×D43—41no—
240C22×D43—41no—
241D4×C43—22no—
242D4×C43—22no—
243D4×C43—22no—
244D4×C43C2×C4⋊C414yescomplemented
245C2×C4×C43—21no—
246C2×C4×C43—21no—
247C2×C4×C43—21no—
248C2×C4×C43—21no—
249C2×C4×C43—21no—
250C2×C4×C43—21no—
251C2×C4×C43—22no—
252C2×C4×C43—21no—
253C2×C4×C43—21no—
254C2×C4×C43—21no—
255C2×C4×C43—21no—
256C2×C4×C43—21no—
257C2×C4×C43—21no—
258C2×C4×C43—21no—
259C2×C4×C43—21no—
260C2×C4×C43—21no—
261C2×C4×C43—41no—
262C2×C4×C43—41no—
263C2×C4×C43—41no—
264C2×C4×C43—41no—
265C2×C4×C43—41no—
266C2×C4×C43—41no—
267C2×C4×C43—41no—
268C2×C4×C43—41no—
269C2×C4×C43—84no—
270C2×C4×C43—84no—
271C2×C4×C43—84no—
272C2×C4×C43C4×D412yes—
273C2×C4×C43C4×D412yes—
274C2×C4×C43AGL(1,ℤ/8)12yes—
275C2×C4×C43C23×C411yescharacteristic
276C2×C4×C43C22×D411yescharacteristic
277C2×C4×C43C22×Q811yescharacteristic
278C2×C4×C43C2×#4111yescharacteristic
279C2×C4×C43H(5,𝔽2)11yescharacteristic
280C2×C4×C432−1+411yescharacteristic
281C2×Dic43—22no—
282C2×Dic43—41no—
283C2×Dic43—41no—
284C2×Dic43—41no—
285C2×Dic43—41no—
286C2×Dic43—41no—
287C2×Dic43—41no—
288C2×Dic43—41no—
289C2×Dic43—41no—
290D172—22no—
291D172—22no—
292D172—22no—
293D172C2×C4⋊C414yes—
294C4×D43—48no—
295C4×D43—84no—
296C4×D43—84no—
297C43⋊C8—22no—
298C43⋊C8—41no—
299C43⋊C8—41no—
300C43⋊C8C2×C4⋊C414yescomplemented
301#22676—431nomaximal, Sylow
302C22×C43—24no—
303C22×C43—42no—
304C22×C43—42no—
305C22×C43—42no—
306C22×C43—42no—
307C22×C43—42no—
308C22×C43—42no—
309C22×C43C2×C4×D411yescharacteristic
310C22×C43D4211yescharacteristic
311C22×C43D4×Q811yescharacteristic
312C22×C43C2×AGL(1,ℤ/8)11yescharacteristic
313C22×C43#57511yescharacteristic
314C22×C43#57611yescharacteristic
315C22×C43#57711yescharacteristic
316C2×D43—24no—
317C2×D43—42no—
318C2×D43—42no—
319C2×D43—42no—
320C2×D43—42no—
321C2×D43—42no—
322C2×D43—42no—
323C4×C43—22no—
324C4×C43—22no—
325C4×C43—22no—
326C4×C43—42no—
327C4×C43—41no—
328C4×C43—41no—
329C4×C43—41no—
330C4×C43—81no—
331C4×C43—81no—
332C4×C43C22×C4⋊C411yescharacteristic
333C4×C43#52011yescharacteristic
334C4×C43#54711yescharacteristic
335C4×C43#55411yescharacteristic
336Dic43—42no—
337Dic43—81no—
338Dic43—81no—
339C2×#442—431no—
340C2×#442—431no—
341C2×C4×D8—431no—
342#2349D4311yescharacteristic, complemented
343D4×C4⋊C4—431no—
344#1944—431no—
345#1941—431no—
346#1864—431no—
347#1864—431no—
348#1862—431no—
349#1862—431no—
350#1847—431no—
351#1804—431no—
352#1802—431no—
353#1771—431no—
354C2×C43—44no—
355C2×C43D4×C4⋊C411yescharacteristic
356C2×C43C4×AGL(1,ℤ/8)11yescharacteristic
357C2×C43#294611yescharacteristic
358C2×C43#326411yescharacteristic
359C2×C43#326711yescharacteristic
360C2×C43#338411yescharacteristic
361C2×C43#338911yescharacteristic
362D43—44no—
363C22×D8—431no—
364C2×C4×D4—431no—
365C2×C4×D4—431no—
366C2×C4×D4—431no—
367C2×C4×D4C2×D4311yescharacteristic
368C2×C4×D4C2×D4311yescharacteristic
369C2×C4×D4C2×D4311yescharacteristic
370C22×C4⋊C4—861no—
371#442—438no—
372#442—864no—
373C4×D8—864no—
374C2×#107—431no—
375C2×#107—431no—
376C2×#106—431no—
377C2×#106—431no—
378C2×#106—431no—
379C2×C4⋊C8—431no—
380C2×#102—431no—
381C2×#102—431no—
382C2×#102—431no—
383C2×#102—431no—
384C2×#102—431no—
385C2×#102—431no—
386C2×#97—431no—
387C2×#97—431no—
388C2×C4×C8—431no—
389#389—431no—
390#389—431no—
391#389C2×D4311yescharacteristic
392#389C2×D4311yescharacteristic
393#385—21no—
394#385—21no—
395#385—861no—
396#385—861no—
397#384—431no—
398#382C2×D4311yescharacteristic
399#380—21no—
400#380—861no—
401C4×C4⋊C4C2×D4311yescharacteristic
402C2×#95—21no—
403#340—431no—
404#340—431no—
405#340—431no—
406#340—431no—
407#336—431no—
408#336—431no—
409C43#2267611yescharacteristic, complemented, Sylow
410C22×D4—431no—
411C22×D4C22×D4311yescharacteristic
412C23×C4—21no—
413C23×C4—21no—
414C23×C4—21no—
415C23×C4—861no—
416C23×C4—861no—
417C23×C4—861no—
418C2×D8—434no—
419C2×D8—434no—
420C2×D8—434no—
421C22×C8—431no—
422C22×C8—431no—
423C22×C8—431no—
424C22×C8—431no—
425C4×D4—22no—
426C4×D4—22no—
427C4×D4—22no—
428C4×D4—41no—
429C4×D4—41no—
430C4×D4—434no—
431C4×D4—862no—
432C4×D4—862no—
433C4×D4—862no—
434C4×D4—1721no—
435C4×D4—1721no—
436C4×D4C4×D4314yescomplemented
437C2×C4⋊C4—21no—
438C2×C4⋊C4—21no—
439C2×C4⋊C4—431no—
440C2×C4⋊C4—431no—
441C2×C4⋊C4—431no—
442C2×C4⋊C4—861no—
443C2×C4⋊C4—861no—
444C2×C4⋊C4—861no—
445C2×C4⋊C4—861no—
446C2×C4⋊C4—1724no—
447C2×C4⋊C4C22⋊D4311yescharacteristic
448C2×C4⋊C4C22⋊D4311yescharacteristic
449C2×C4⋊C4C22×D4311yescharacteristic
450C2×C4⋊C4C22×D4311yescharacteristic
451C2×C4⋊C4C22×D4311yescharacteristic
452C2×C22⋊C4—21no—
453C2×C22⋊C4—21no—
454C2×C22⋊C4—21no—
455C2×C22⋊C4—861no—
456C2×C22⋊C4—861no—
457C2×C22⋊C4—861no—
458C2×C42C22×D4311yescharacteristic
459C2×C42C22×D4311yescharacteristic
460C2×C42C22×D4311yescharacteristic
461#107—862no—
462#107—1721no—
463#106—434no—
464#106—862no—
465#106—1721no—
466C4⋊C8—862no—
467#102—434no—
468#102—434no—
469#102—862no—
470#102—862no—
471#102—862no—
472#102—862no—
473#97—434no—
474#97—862no—
475C4×C8—862no—
476#95—21no—
477#95—21no—
478#95—21no—
479#95—21no—
480#95—861no—
481#95—861no—
482#95C22⋊D4311yescharacteristic
483#95C22⋊D4311yescharacteristic
484C24—21no—
485C24—861no—
486C2×D4—21no—
487C2×D4—21no—
488C2×D4—21no—
489C2×D4—432no—
490C2×D4—432no—
491C2×D4—432no—
492C2×D4—861no—
493C2×D4—861no—
494C2×D4—861no—
495C2×D4C2×C4×D4312yes—
496C2×D4D4×D4312yes—
497C2×D4Q8×D4312yes—
498C22×C4—21no—
499C22×C4—24no—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—42no—
503C22×C4—42no—
504C22×C4—42no—
505C22×C4—42no—
506C22×C4—81no—
507C22×C4—81no—
508C22×C4—81no—
509C22×C4—81no—
510C22×C4—861no—
511C22×C4—864no—
512C22×C4—861no—
513C22×C4—861no—
514C22×C4—3441no—
515C22×C4—3441no—
516C22×C4—1722no—
517C22×C4—1722no—
518C22×C4—1722no—
519C22×C4—1722no—
520C22×C4—1722no—
521C22×C4—1722no—
522C22×C4C2×C22⋊D4311yescharacteristic
523C22×C4C2×C22⋊D4311yescharacteristic
524C22×C4C2×C22⋊D4311yescharacteristic
525C22×C4C2×C22⋊D4311yescharacteristic
526C22×C4C2×C22⋊D4311yescharacteristic
527C22×C4C2×C22⋊D4311yescharacteristic
528C22×C4C23×D4311yescharacteristic
529D8—4316no—
530C2×C8—432no—
531C2×C8—432no—
532C2×C8—432no—
533C2×C8—432no—
534C2×C8—861no—
535C2×C8—861no—
536C2×C8—861no—
537C2×C8—861no—
538C2×C8—861no—
539C2×C8—861no—
540C2×C8—861no—
541C2×C8—861no—
542C4⋊C4—22no—
543C4⋊C4—21no—
544C4⋊C4—21no—
545C4⋊C4—21no—
546C4⋊C4—21no—
547C4⋊C4—21no—
548C4⋊C4—41no—
549C4⋊C4—81no—
550C4⋊C4—81no—
551C4⋊C4—432no—
552C4⋊C4—861no—
553C4⋊C4—861no—
554C4⋊C4—861no—
555C4⋊C4—861no—
556C4⋊C4—861no—
557C4⋊C4—3441no—
558C4⋊C4—1722no—
559C4⋊C4—1722no—
560C4⋊C4—1722no—
561C4⋊C4C2×C4×D4312yes—
562C22⋊C4—24no—
563C22⋊C4—42no—
564C22⋊C4—42no—
565C22⋊C4—864no—
566C22⋊C4—1722no—
567C22⋊C4—1722no—
568C42—21no—
569C42—21no—
570C42—21no—
571C42—21no—
572C42C2×C4×D4312yes—
573C42#1062189812yes—
574C23—22no—
575C23—22no—
576C23—22no—
577C23—41no—
578C23—41no—
579C23—41no—
580C23—41no—
581C23—862no—
582C23—862no—
583C23—862no—
584C23—1721no—
585C23—1721no—
586C23—1721no—
587C23—1721no—
588C23C22×C22⋊D4311yescharacteristic
589D4—22no—
590D4—22no—
591D4—22no—
592D4—434no—
593D4—862no—
594D4—862no—
595D4—862no—
596D4C4⋊C4×D4314yescomplemented
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—21no—
602C2×C4—21no—
603C2×C4—22no—
604C2×C4—21no—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—84no—
622C2×C4—84no—
623C2×C4—84no—
624C2×C4—862no—
625C2×C4—3444no—
626C2×C4—3444no—
627C2×C4—1728no—
628C2×C4—1721no—
629C2×C4—1721no—
630C2×C4—1721no—
631C2×C4—1721no—
632C2×C4—1721no—
633C2×C4—1721no—
634C2×C4—1721no—
635C2×C4—1721no—
636C2×C4C4×C22⋊D4312yes—
637C2×C4C4×C22⋊D4312yes—
638C2×C4#1306335012yes—
639C2×C4C22×C4×D4311yescharacteristic
640C2×C4C2×D4×D4311yescharacteristic
641C2×C4C2×Q8×D4311yescharacteristic
642C2×C4C2×#1062189811yescharacteristic
643C2×C4#1306337011yescharacteristic
644C2×C4#1306337311yescharacteristic
645C8—434no—
646C8—862no—
647C8—1721no—
648C8—1721no—
649C22—24no—
650C22—42no—
651C22—42no—
652C22—42no—
653C22—42no—
654C22—42no—
655C22—42no—
656C22—864no—
657C22—1722no—
658C22—1722no—
659C22—1722no—
660C22—1722no—
661C22—1722no—
662C22—1722no—
663C22C2×C4×C22⋊D4311yescharacteristic
664C22D4×C22⋊D4311yescharacteristic
665C22Q8×C22⋊D4311yescharacteristic
666C22C2×#1306335011yescharacteristic
667C22#1458369711yescharacteristic
668C22#1458370211yescharacteristic
669C22#1458371011yescharacteristic
670C4—22no—
671C4—22no—
672C4—22no—
673C4—42no—
674C4—41no—
675C4—41no—
676C4—41no—
677C4—81no—
678C4—81no—
679C4—3441no—
680C4—3441no—
681C4—1722no—
682C4C2×C4⋊C4×D4311yescharacteristic
683C4#1458338011yescharacteristic
684C4#1458355011yescharacteristic
685C4#1458360411yescharacteristic
686C2—44no—
687C2—1724no—
688C2C4⋊C4×C22⋊D4311yescharacteristic
689C2C4×#1306335011yescharacteristic
690C2#1914342711yescharacteristic
691C2#1914607611yescharacteristic
692C2#1914611611yescharacteristic
693C2#1914749411yescharacteristic
694C2#1914754911yescharacteristic
subgroupG/H
centerC23C22×C22⋊D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#2349C2
socleC23×C43C22×D4
prime radicalC22×#10621882C22
cosocleC22×C4×C43C24
hypercenter#2349D43
hypocenterC43#22676
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C4×C4⋊C4 ◁ #2349

Complements

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

NH ≅ G/Ntype
4. C4⋊C4×D172C2semidirect
5. #19135335C2semidirect
6. #19135320C2semidirect
7. #19134856C2semidirect
8. #19134855C2semidirect
9. #19134842C2semidirect
10. #19134841C2semidirect
11. #19134764C2semidirect
12. #19134602C2semidirect
13. #19134595C2semidirect
14. #19134470C2semidirect
15. C43×#2349C2semidirect
22. #14583009C4semidirect
78. C4×D172C2×C4semidirect
94. #13063256C2×C4semidirect
98. #13063246C2×C4semidirect
101. #13063245C2×C4semidirect
103. #13063236C2×C4semidirect
116. C4×D4×C43C2×C4semidirect
200. #10621882C4⋊C4semidirect
244. D4×C43C2×C4⋊C4semidirect
300. C43⋊C8C2×C4⋊C4semidirect
342. #2349D43semidirect
409. C43#22676semidirect
436. C4×D4C4×D43semidirect
596. D4C4⋊C4×D43semidirect

Maximal subgroups

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

subgroupindex
C2×#145830092
C2×C4×#106218822
C4⋊C4×D1722
#191353352
#191353202
#191348562
#191348552
#191348422
#191348412
#191347642
#191346022
#191345952
#191344702
C43×#23492
#2267643