Finite Group Databasebeta

← #25961570

Subgroups — #25961570

Order 11008.

1974 conjugacy classes of subgroups.

The subgroup lattice has 648 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C4×Dic86C211yesmaximal, characteristic
2#19143685C214yesmaximal, complemented
3#19143682C214yesmaximal, complemented
4#19143679C214yesmaximal, complemented
5#19143678C212yesmaximal, complemented
6#19143675C212yesmaximal, complemented
7M16×Dic86C214yesmaximal, complemented
8#19143546C214yesmaximal, complemented
9#19143228C211yesmaximal, characteristic
10#19143224C214yesmaximal
11C43×#2920C211yesmaximal, characteristic
12C23×Dic86C411yescharacteristic
13C2×C4×Dic86C412yes—
14C2×C4×Dic86C412yes—
15C2×C4×Dic86C412yes—
16C2×C4×Dic86C412yes—
17C2×C4×Dic86C412yes—
18C2×C4×Dic86C411yescharacteristic
19C2×C4×Dic86C411yescharacteristic
20C2×C4×Dic86C2212yes—
21C2×C4×Dic86C2212yes—
22C2×C4×Dic86C2212yes—
23C2×C4×Dic86C2212yes—
24C2×C4×Dic86C2211yescharacteristic
25C2×C4×Dic86C2211yescharacteristic
26C2×C4×Dic86C2212yes—
27C22×C4⋊Dic43C411yescharacteristic
28C22×Dic43⋊C4C412yes—
29C22×C4×Dic43C2212yes—
30#14583029C2218yescomplemented
31#14583028C22116yescomplemented
32#14583027C22116yescomplemented
33#14583026C2218yescomplemented
34C8×Dic86C2218yescomplemented
35#14583023C2218yescomplemented
36#14582956C2212yes—
37#14582956C2212yes—
38#14582953C2218yes—
39#14582953C2218yes—
40#14582952C2212yes—
41#14582952C2212yes—
42#14582949C2218yes—
43#14582949C2218yes—
44#14582923C2212yes—
45#14582922C2218yes—
46#14582863C2212yes—
47C4×#10621877C2212yes—
48M16×Dic43C2218yes—
49C22×C42×C43C2211yescharacteristic
50C43×#432C2212yes—
51C43×#432C2212yes—
52C43×#431C2212yes—
53C43×#431C2212yes—
54C43×#423C2212yes—
55C43×#407C2212yes—
56C4×M16×C43C2212yes—
57C22×Dic86—28no—
58C22×Dic86C2×C411yescharacteristic
59C22×Dic86C2×C412yes—
60C22×Dic86C2×C412yes—
61C22×Dic86C2×C412yes—
62C22×Dic86C2×C412yes—
63C22×Dic86C2×C412yes—
64C22×Dic86C2×C411yescharacteristic
65C23×Dic43C2×C412yes—
66C23×Dic43C2×C412yes—
67C2×#10621877C2314yes—
68C4×Dic86C2×C412yes—
69C4×Dic86C2×C414yes—
70C4×Dic86C2×C412yes—
71C4×Dic86C2×C414yes—
72C4×Dic86C2×C412yes—
73C4×Dic86C2×C414yes—
74C4×Dic86C2×C412yes—
75C4×Dic86C2×C414yes—
76C4×Dic86C2×C412yes—
77C4×Dic86C2×C412yes—
78C4×Dic86C2×C414yes—
79C4×Dic86C2×C414yes—
80C4×Dic86C2×C412yes—
81C4×Dic86C2×C412yes—
82C4×Dic86C2×C412yes—
83C4×Dic86C2×C412yes—
84C4×Dic86C2×C412yes—
85C4×Dic86C2×C412yes—
86C4×Dic86C2312yes—
87C4×Dic86C2312yes—
88C4×Dic86C2312yes—
89C4×Dic86C2314yes—
90C4×Dic86C2314yes—
91C4×Dic86C2312yes—
92C2×C4⋊Dic43C2×C412yes—
93C2×C4⋊Dic43C2×C412yes—
94C2×C4⋊Dic43C2×C412yes—
95C2×C4⋊Dic43C2×C412yes—
96C2×C4⋊Dic43C2×C412yes—
97C2×C4⋊Dic43C2×C411yescharacteristic
98C2×C4⋊Dic43C2×C411yescharacteristic
99C2×Dic43⋊C4C2×C414yes—
100C2×Dic43⋊C4C2×C414yes—
101C2×Dic43⋊C4C2×C414yes—
102C2×Dic43⋊C4C2×C414yes—
103C2×Dic43⋊C4C2×C412yes—
104C2×Dic43⋊C4C2×C412yes—
105C2×Dic43⋊C4C2×C412yes—
106C2×Dic43⋊C4C2×C412yes—
107C2×C4×Dic43C2×C414yes—
108C2×C4×Dic43C2×C412yes—
109C2×C4×Dic43C2×C414yes—
110C2×C4×Dic43C2×C412yes—
111C2×C4×Dic43C2314yes—
112C2×C4×Dic43C2312yes—
113C2×C4×Dic43C2314yes—
114C2×C4×Dic43C2312yes—
115C4⋊(C43⋊C8)C2314yes—
116C4⋊(C43⋊C8)C2314yes—
117Dic43⋊C8C23116yes—
118Dic43⋊C8C23116yes—
119C22⋊(C43⋊C8)C2314yes—
120C22⋊(C43⋊C8)C2314yes—
121#13063236C2314yes—
122#13063235C23116yes—
123C4×C43⋊C8C2314yes—
124C8×Dic43C23116yes—
125C23×C4×C43C2×C411yescharacteristic
126C23×C4×C43C2×C411yescharacteristic
127C23×C4×C43C2311yescharacteristic
128C2×M16×C43C2314yes—
129C2×C42×C43C2×C411yescharacteristic
130C2×C42×C43C2×C411yescharacteristic
131C2×C42×C43C2×C411yescharacteristic
132C2×C42×C43C2×C411yescharacteristic
133C2×C42×C43C2×C411yescharacteristic
134C2×C42×C43C2×C411yescharacteristic
135C2×C42×C43C2311yescharacteristic
136C2×C42×C43C2311yescharacteristic
137C2×C42×C43C2311yescharacteristic
138C2×C42×C43C2311yescharacteristic
139C2×C42×C43C2311yescharacteristic
140C2×C42×C43C2311yescharacteristic
141C4⋊C8×C43C2314yes—
142C4⋊C8×C43C2314yes—
143C22⋊C8×C43C2314yes—
144C22⋊C8×C43C2314yes—
145#97×C43C2314yes—
146C4×C8×C43C2314yes—
147C24×C43C22×C411yescharacteristic
148C22×C4×C43—24no—
149C22×C4×C43—24no—
150C22×C4×C43—42no—
151C22×C4×C43C22×C411yescharacteristic
152C22×C4×C43C22×C411yescharacteristic
153C22×C4×C43C22×C411yescharacteristic
154C22×C4×C43C22×C411yescharacteristic
155C22×C4×C43C22×C411yescharacteristic
156C22×C4×C43C22×C411yescharacteristic
157C22×C4×C43C22×C411yescharacteristic
158C22×C4×C43C22×C411yescharacteristic
159C22×C4×C43C22×C411yescharacteristic
160C22×C4×C43C22×C411yescharacteristic
161C22×C4×C43C22×C411yescharacteristic
162C22×C4×C43C22×C411yescharacteristic
163C22×C4×C43C22×C411yescharacteristic
164C22×C4×C43C22×C411yescharacteristic
165C22×C4×C43C22×C411yescharacteristic
166C22×C4×C43C2411yescharacteristic
167C22×C4×C43C2411yescharacteristic
168C22×C4×C43C2411yescharacteristic
169C22×Dic43—28no—
170C22×Dic43—44no—
171C22×Dic43C22×C414yes—
172C22×Dic43C22×C414yes—
173C22×Dic43C22×C412yes—
174C22×Dic43C22×C414yes—
175C22×Dic43C22×C414yes—
176C22×Dic43C22×C412yes—
177C22×Dic43C22×C412yes—
178C22×Dic43C22×C412yes—
179C2×Dic86—24no—
180C2×Dic86—28no—
181C2×Dic86—28no—
182C2×Dic86—28no—
183C2×Dic86—28no—
184C2×Dic86—28no—
185C2×Dic86M1618yescomplemented
186C2×Dic86C22×C412yes—
187C2×Dic86C22×C412yes—
188C2×Dic86C22×C414yes—
189C2×Dic86C22×C414yes—
190C2×Dic86C22×C412yes—
191C2×Dic86C22×C412yes—
192M16×C43—28no—
193C2×C8×C43C2418yes—
194C42×C43C22×C411yescharacteristic
195C42×C43C22×C411yescharacteristic
196C42×C43C22×C411yescharacteristic
197C42×C43C22×C411yescharacteristic
198C42×C43C22×C411yescharacteristic
199C42×C43C22×C411yescharacteristic
200C42×C43C22×C411yescharacteristic
201C42×C43C22×C411yescharacteristic
202C42×C43C22×C411yescharacteristic
203C42×C43C22×C411yescharacteristic
204C42×C43C22×C411yescharacteristic
205C42×C43C22×C411yescharacteristic
206C42×C43C2411yescharacteristic
207C42×C43C2411yescharacteristic
208C42×C43C2411yescharacteristic
209C42×C43C2411yescharacteristic
210C4⋊Dic43C22×C414yes—
211C4⋊Dic43C22×C414yes—
212C4⋊Dic43C22×C412yes—
213C4⋊Dic43C22×C412yes—
214C4⋊Dic43C22×C412yes—
215C4⋊Dic43C22×C412yes—
216Dic43⋊C4C22×C414yes—
217Dic43⋊C4C22×C414yes—
218Dic43⋊C4C22×C414yes—
219Dic43⋊C4C22×C414yes—
220Dic43⋊C4C22×C414yes—
221Dic43⋊C4C22×C414yes—
222Dic43⋊C4C22×C414yes—
223Dic43⋊C4C22×C414yes—
224C4×Dic43C22×C414yes—
225C4×Dic43C22×C414yes—
226C4×Dic43C22×C414yes—
227C4×Dic43C22×C414yes—
228C4×Dic43C22×C414yes—
229C4×Dic43C22×C414yes—
230C4×Dic43C2414yes—
231C4×Dic43C2414yes—
232#10621877—28no—
233C2×C43⋊C8C2418yes—
234C23×C43—22no—
235C23×C43—22no—
236C23×C43—22no—
237C23×C43C23×C411yescharacteristic
238C23×C43C23×C411yescharacteristic
239C23×C43C23×C411yescharacteristic
240C2×C4×C43—22no—
241C2×C4×C43—22no—
242C2×C4×C43—22no—
243C2×C4×C43—22no—
244C2×C4×C43—22no—
245C2×C4×C43—22no—
246C2×C4×C43—22no—
247C2×C4×C43—22no—
248C2×C4×C43—22no—
249C2×C4×C43—22no—
250C2×C4×C43—22no—
251C2×C4×C43—22no—
252C2×C4×C43—41no—
253C2×C4×C43—41no—
254C2×C4×C43—41no—
255C2×C4×C43—41no—
256C2×C4×C43C2×M1614yes—
257C2×C4×C43C23×C411yescharacteristic
258C2×C4×C43C23×C411yescharacteristic
259C2×C4×C43C23×C411yescharacteristic
260C2×C4×C43C23×C411yescharacteristic
261C2×C4×C43C23×C411yescharacteristic
262C2×C4×C43C23×C411yescharacteristic
263C2×C4×C43C23×C411yescharacteristic
264C2×C4×C43C23×C411yescharacteristic
265C2×C4×C43C23×C411yescharacteristic
266C2×C4×C43C23×C411yescharacteristic
267C2×C4×C43C23×C411yescharacteristic
268C2×C4×C432−1+414yes—
269C2×C4×C43C2511yescharacteristic
270C2×Dic43—24no—
271C2×Dic43—28no—
272C2×Dic43—28no—
273C2×Dic43—28no—
274C2×Dic43—44no—
275C2×Dic43—42no—
276C2×Dic43—42no—
277C2×Dic43C2×M1618yes—
278C2×Dic43C23×C414yes—
279C2×Dic43C23×C414yes—
280C2×Dic43C23×C414yes—
281C2×Dic43C23×C414yes—
282Dic86—24no—
283Dic86—24no—
284Dic86—28no—
285Dic86—28no—
286Dic86C2×M1618yes—
287Dic86C2×M1618yes—
288C8×C43—28no—
289C43⋊C8—28no—
290#60248—431nomaximal, Sylow
291C22×C43—28no—
292C22×C43—21no—
293C22×C43—21no—
294C22×C43—21no—
295C22×C43—21no—
296C22×C43—21no—
297C22×C43—21no—
298C22×C43#51912yes—
299C22×C43C22×M1612yes—
300C22×C43#56812yes—
301C22×C43C24×C411yescharacteristic
302C4×C43—21no—
303C4×C43—21no—
304C4×C43—21no—
305C4×C43—21no—
306C4×C43—21no—
307C4×C43—21no—
308C4×C43—21no—
309C4×C43—21no—
310C4×C43#51912yes—
311C4×C43C22×M1612yes—
312C4×C43C22×M1612yes—
313C4×C43C2×2−1+412yes—
314Dic43—24no—
315Dic43—24no—
316Dic43—24no—
317Dic43C22×M1618yes—
318C22×C4×Q8—431no—
319#2984—434no—
320#2984—434no—
321#2983—434no—
322#2983—432no—
323#2982—432no—
324Q8×M16—434no—
325Q8×M16—434no—
326#2920—431no—
327#2920—434no—
328#2920D4311yescharacteristic
329C2×C43—22no—
330C2×C43—22no—
331C2×C43—22no—
332C2×C43C2×#51911yescharacteristic
333C2×C43C23×M1611yescharacteristic
334C2×C43C2×#56811yescharacteristic
335C23×Q8—431no—
336C2×C4×Q8—432no—
337C2×C4×Q8—432no—
338C2×C4×Q8—431no—
339C2×C4×Q8—432no—
340C2×C4×Q8—431no—
341C2×C4×Q8—432no—
342C2×C4×Q8—432no—
343C2×C4×Q8—431no—
344C2×C4×Q8—432no—
345C2×C4×Q8—432no—
346C2×C4×Q8—432no—
347C2×C4×Q8—432no—
348C2×C4×Q8—432no—
349C2×C4×Q8—431no—
350C22×C4⋊C4—432no—
351C22×C4⋊C4—431no—
352C22×C42—432no—
353C22×C42C2×D4311yescharacteristic
354#446—438no—
355#446—4316no—
356#446—4316no—
357#446—438no—
358C8×Q8—438no—
359C8×Q8—438no—
360#432—432no—
361#432—432no—
362#432—438no—
363#432—438no—
364#432C2×D4312yes—
365#432C2×D4312yes—
366#431—432no—
367#431—432no—
368#431—438no—
369#431—438no—
370#431C2×D4312yes—
371#431C2×D4312yes—
372#423—438no—
373#423—432no—
374#423C2×D4312yes—
375#407—432no—
376#407C2×D4312yes—
377C4×M16—438no—
378C4×M16—432no—
379C4×M16C2×D4312yes—
380C43#6024811yescharacteristic, complemented, Sylow
381C22×Q8—431no—
382C22×Q8—432no—
383C22×Q8—432no—
384C22×Q8—432no—
385C22×Q8—432no—
386C22×Q8—432no—
387C22×Q8—431no—
388C22×Q8—868no—
389C23×C4—432no—
390C23×C4—432no—
391C23×C4C4×D4311yescharacteristic
392C23×C4C4×D4311yescharacteristic
393C23×C4C22×D4311yescharacteristic
394C2×M16—434no—
395C2×M16C22×D4314yes—
396C4×Q8—432no—
397C4×Q8—432no—
398C4×Q8—432no—
399C4×Q8—432no—
400C4×Q8—432no—
401C4×Q8—432no—
402C4×Q8—434no—
403C4×Q8—434no—
404C4×Q8—432no—
405C4×Q8—432no—
406C4×Q8—434no—
407C4×Q8—434no—
408C4×Q8—432no—
409C4×Q8—432no—
410C4×Q8—434no—
411C4×Q8—434no—
412C4×Q8—432no—
413C4×Q8—432no—
414C4×Q8—432no—
415C4×Q8—432no—
416C4×Q8—434no—
417C4×Q8—434no—
418C4×Q8—432no—
419C4×Q8—432no—
420C2×C4⋊C4—432no—
421C2×C4⋊C4—432no—
422C2×C4⋊C4—434no—
423C2×C4⋊C4—434no—
424C2×C4⋊C4—434no—
425C2×C4⋊C4—434no—
426C2×C4⋊C4—432no—
427C2×C4⋊C4—432no—
428C2×C4⋊C4—432no—
429C2×C4⋊C4—432no—
430C2×C4⋊C4—432no—
431C2×C4⋊C4—432no—
432C2×C4⋊C4—432no—
433C2×C4⋊C4—431no—
434C2×C4⋊C4—431no—
435C2×C42—432no—
436C2×C42—434no—
437C2×C42—434no—
438C2×C42—432no—
439C2×C42—434no—
440C2×C42—432no—
441C2×C42—434no—
442C2×C42—432no—
443C2×C42C4×D4311yescharacteristic
444C2×C42C4×D4311yescharacteristic
445C2×C42C4×D4311yescharacteristic
446C2×C42C4×D4311yescharacteristic
447C2×C42C4×D4311yescharacteristic
448C2×C42C4×D4311yescharacteristic
449C2×C42C22×D4311yescharacteristic
450C2×C42C22×D4311yescharacteristic
451C2×C42C22×D4311yescharacteristic
452C2×C42C22×D4311yescharacteristic
453C2×C42C22×D4311yescharacteristic
454C2×C42C22×D4311yescharacteristic
455C4⋊C8—4316no—
456C4⋊C8—4316no—
457C4⋊C8—434no—
458C4⋊C8—434no—
459C4⋊C8C22×D4314yes—
460C4⋊C8C22×D4314yes—
461C22⋊C8—434no—
462C22⋊C8—434no—
463C22⋊C8C22×D4314yes—
464C22⋊C8C22×D4314yes—
465#97—4316no—
466#97—434no—
467#97C22×D4314yes—
468C4×C8—4316no—
469C4×C8—434no—
470C4×C8C22×D4314yes—
471C24C2×C4×D4311yescharacteristic
472C2×Q8—438no—
473C2×Q8—432no—
474C2×Q8—432no—
475C2×Q8—434no—
476C2×Q8—434no—
477C2×Q8—432no—
478C2×Q8—432no—
479C2×Q8—868no—
480C2×Q8—868no—
481C2×Q8—868no—
482C2×Q8—868no—
483C2×Q8—868no—
484C2×Q8—864no—
485C22×C4—24no—
486C22×C4—24no—
487C22×C4—42no—
488C22×C4—432no—
489C22×C4—434no—
490C22×C4—434no—
491C22×C4—434no—
492C22×C4—432no—
493C22×C4—434no—
494C22×C4—432no—
495C22×C4—432no—
496C22×C4—868no—
497C22×C4—1724no—
498C22×C4C2×C4×D4311yescharacteristic
499C22×C4C2×C4×D4311yescharacteristic
500C22×C4C2×C4×D4311yescharacteristic
501C22×C4C2×C4×D4311yescharacteristic
502C22×C4C2×C4×D4311yescharacteristic
503C22×C4C2×C4×D4311yescharacteristic
504C22×C4C2×C4×D4311yescharacteristic
505C22×C4C2×C4×D4311yescharacteristic
506C22×C4C2×C4×D4311yescharacteristic
507C22×C4C2×C4×D4311yescharacteristic
508C22×C4C2×C4×D4311yescharacteristic
509C22×C4C2×C4×D4311yescharacteristic
510C22×C4C2×C4×D4311yescharacteristic
511C22×C4C2×C4×D4311yescharacteristic
512C22×C4C2×C4×D4311yescharacteristic
513C22×C4C23×D4311yescharacteristic
514C22×C4C23×D4311yescharacteristic
515C22×C4C23×D4311yescharacteristic
516M16—28no—
517M16—868no—
518C2×C8—438no—
519C2×C8C23×D4318yes—
520C4⋊C4—434no—
521C4⋊C4—434no—
522C4⋊C4—434no—
523C4⋊C4—434no—
524C4⋊C4—434no—
525C4⋊C4—434no—
526C4⋊C4—434no—
527C4⋊C4—434no—
528C4⋊C4—434no—
529C4⋊C4—434no—
530C4⋊C4—432no—
531C4⋊C4—432no—
532C4⋊C4—432no—
533C4⋊C4—432no—
534C42—434no—
535C42—434no—
536C42—434no—
537C42—434no—
538C42—434no—
539C42—434no—
540C42—434no—
541C42—434no—
542C42C2×C4×D4311yescharacteristic
543C42C2×C4×D4311yescharacteristic
544C42C2×C4×D4311yescharacteristic
545C42C2×C4×D4311yescharacteristic
546C42C2×C4×D4311yescharacteristic
547C42C2×C4×D4311yescharacteristic
548C42C2×C4×D4311yescharacteristic
549C42C2×C4×D4311yescharacteristic
550C42C2×C4×D4311yescharacteristic
551C42C2×C4×D4311yescharacteristic
552C42C2×C4×D4311yescharacteristic
553C42C2×C4×D4311yescharacteristic
554C42C23×D4311yescharacteristic
555C42C23×D4311yescharacteristic
556C42C23×D4311yescharacteristic
557C42C23×D4311yescharacteristic
558C23—22no—
559C23—22no—
560C23—22no—
561C23C22×C4×D4311yescharacteristic
562C23C22×C4×D4311yescharacteristic
563C23C22×C4×D4311yescharacteristic
564Q8—438no—
565Q8—438no—
566Q8—868no—
567Q8—868no—
568Q8—864no—
569Q8—864no—
570C2×C4—22no—
571C2×C4—22no—
572C2×C4—22no—
573C2×C4—22no—
574C2×C4—22no—
575C2×C4—22no—
576C2×C4—22no—
577C2×C4—22no—
578C2×C4—22no—
579C2×C4—22no—
580C2×C4—22no—
581C2×C4—22no—
582C2×C4—41no—
583C2×C4—41no—
584C2×C4—41no—
585C2×C4—41no—
586C2×C4—438no—
587C2×C4—434no—
588C2×C4—434no—
589C2×C4—434no—
590C2×C4—434no—
591C2×C4—868no—
592C2×C4—868no—
593C2×C4—864no—
594C2×C4—868no—
595C2×C4—1724no—
596C2×C4—1722no—
597C2×C4—1722no—
598C2×C4M16×D4314yes—
599C2×C4C22×C4×D4311yescharacteristic
600C2×C4C22×C4×D4311yescharacteristic
601C2×C4C22×C4×D4311yescharacteristic
602C2×C4C22×C4×D4311yescharacteristic
603C2×C4C22×C4×D4311yescharacteristic
604C2×C4C22×C4×D4311yescharacteristic
605C2×C4C22×C4×D4311yescharacteristic
606C2×C4C22×C4×D4311yescharacteristic
607C2×C4C22×C4×D4311yescharacteristic
608C2×C4C22×C4×D4311yescharacteristic
609C2×C4C22×C4×D4311yescharacteristic
610C2×C4#1306337214yes—
611C2×C4C24×D4311yescharacteristic
612C8—28no—
613C8—868no—
614C22—28no—
615C22—21no—
616C22—21no—
617C22—21no—
618C22—21no—
619C22—21no—
620C22—21no—
621C22#1458337612yes—
622C22C2×M16×D4312yes—
623C22#1458366512yes—
624C22C23×C4×D4311yescharacteristic
625C4—21no—
626C4—21no—
627C4—21no—
628C4—21no—
629C4—21no—
630C4—21no—
631C4—21no—
632C4—21no—
633C4—438no—
634C4—864no—
635C4—864no—
636C4—864no—
637C4#1458337612yes—
638C4C2×M16×D4312yes—
639C4C2×M16×D4312yes—
640C4C2×#1306337212yes—
641C2—22no—
642C2—22no—
643C2—22no—
644C2C2×#1458337611yescharacteristic
645C2C22×M16×D4311yescharacteristic
646C2C2×#1458366511yescharacteristic
subgroupG/H
center, FrattiniC2×C4C24×D43
commutator, socleC22×C43C24×C4
FittingC43×#2920C2
prime radicalC24×C43C22×C4
cosocleC2×C4×C43C25
hypercenter#2920D43
hypocenterC43#60248
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C2×C4 ◁ #2920

Complements

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

NH ≅ G/Ntype
2. #19143685C2semidirect
3. #19143682C2semidirect
4. #19143679C2semidirect
5. #19143678C2semidirect
6. #19143675C2semidirect
7. M16×Dic86C2semidirect
8. #19143546C2semidirect
30. #14583029C22semidirect
31. #14583028C22semidirect
32. #14583027C22semidirect
33. #14583026C22semidirect
34. C8×Dic86C22semidirect
35. #14583023C22semidirect
185. C2×Dic86M16semidirect
380. C43#60248semidirect

Maximal subgroups

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

subgroupindex
C22×C4×Dic862
#191436852
#191436822
#191436792
#191436782
#191436752
M16×Dic862
#191435462
#191432282
#191432242
C43×#29202
#6024843