Finite Group Databasebeta

← #28249065

Subgroups — #28249065

Order 13568.

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×Dic106C211yesmaximal, characteristic
2#20283805C214yesmaximal, complemented
3#20283802C214yesmaximal, complemented
4#20283799C214yesmaximal, complemented
5#20283798C212yesmaximal, complemented
6#20283795C212yesmaximal, complemented
7M16×Dic106C214yesmaximal, complemented
8#20283666C214yesmaximal, complemented
9#20283348C211yesmaximal, characteristic
10#20283344C214yesmaximal
11C53×#2920C211yesmaximal, characteristic
12C23×Dic106C411yescharacteristic
13C2×C4×Dic106C412yes—
14C2×C4×Dic106C412yes—
15C2×C4×Dic106C412yes—
16C2×C4×Dic106C412yes—
17C2×C4×Dic106C412yes—
18C2×C4×Dic106C411yescharacteristic
19C2×C4×Dic106C411yescharacteristic
20C2×C4×Dic106C2212yes—
21C2×C4×Dic106C2212yes—
22C2×C4×Dic106C2211yescharacteristic
23C2×C4×Dic106C2211yescharacteristic
24C2×C4×Dic106C2212yes—
25C2×C4×Dic106C2212yes—
26C2×C4×Dic106C2212yes—
27C22×C4⋊Dic53C411yescharacteristic
28C22×#11719919C412yes—
29C22×C4×Dic53C2212yes—
30#16810753C2218yescomplemented
31#16810752C22116yescomplemented
32#16810751C22116yescomplemented
33#16810750C2218yescomplemented
34C8×Dic106C2218yescomplemented
35#16810747C2218yescomplemented
36#16810680C2212yes—
37#16810680C2212yes—
38#16810677C2218yes—
39#16810677C2218yes—
40#16810676C2212yes—
41#16810676C2212yes—
42#16810673C2218yes—
43#16810673C2218yes—
44#16810647C2212yes—
45#16810646C2218yes—
46#16810587C2212yes—
47C4×#11719917C2212yes—
48M16×Dic53C2218yes—
49C22×C42×C53C2211yescharacteristic
50C53×#432C2212yes—
51C53×#432C2212yes—
52C53×#431C2212yes—
53C53×#431C2212yes—
54C53×#423C2212yes—
55C53×#407C2212yes—
56C4×M16×C53C2212yes—
57C22×Dic106—28no—
58C22×Dic106C2×C411yescharacteristic
59C22×Dic106C2×C412yes—
60C22×Dic106C2×C412yes—
61C22×Dic106C2×C412yes—
62C22×Dic106C2×C412yes—
63C22×Dic106C2×C412yes—
64C22×Dic106C2×C411yescharacteristic
65C23×Dic53C2×C412yes—
66C23×Dic53C2×C412yes—
67C2×#11719917C2314yes—
68C4×Dic106C2×C412yes—
69C4×Dic106C2×C414yes—
70C4×Dic106C2×C412yes—
71C4×Dic106C2×C414yes—
72C4×Dic106C2×C412yes—
73C4×Dic106C2×C412yes—
74C4×Dic106C2×C414yes—
75C4×Dic106C2×C414yes—
76C4×Dic106C2×C412yes—
77C4×Dic106C2×C414yes—
78C4×Dic106C2×C412yes—
79C4×Dic106C2×C414yes—
80C4×Dic106C2×C412yes—
81C4×Dic106C2×C412yes—
82C4×Dic106C2×C412yes—
83C4×Dic106C2×C412yes—
84C4×Dic106C2×C412yes—
85C4×Dic106C2×C412yes—
86C4×Dic106C2314yes—
87C4×Dic106C2312yes—
88C4×Dic106C2312yes—
89C4×Dic106C2312yes—
90C4×Dic106C2312yes—
91C4×Dic106C2314yes—
92C2×C4⋊Dic53C2×C412yes—
93C2×C4⋊Dic53C2×C412yes—
94C2×C4⋊Dic53C2×C412yes—
95C2×C4⋊Dic53C2×C412yes—
96C2×C4⋊Dic53C2×C412yes—
97C2×C4⋊Dic53C2×C411yescharacteristic
98C2×C4⋊Dic53C2×C411yescharacteristic
99C2×#11719919C2×C414yes—
100C2×#11719919C2×C414yes—
101C2×#11719919C2×C414yes—
102C2×#11719919C2×C414yes—
103C2×#11719919C2×C412yes—
104C2×#11719919C2×C412yes—
105C2×#11719919C2×C412yes—
106C2×#11719919C2×C412yes—
107C2×C4×Dic53C2×C414yes—
108C2×C4×Dic53C2×C412yes—
109C2×C4×Dic53C2×C414yes—
110C2×C4×Dic53C2×C412yes—
111C2×C4×Dic53C2314yes—
112C2×C4×Dic53C2312yes—
113C2×C4×Dic53C2314yes—
114C2×C4×Dic53C2312yes—
115C4⋊#88322C2314yes—
116C4⋊#88322C2314yes—
117#13133146C23116yes—
118#13133146C23116yes—
119C22⋊#88322C2314yes—
120C22⋊#88322C2314yes—
121#13133128C2314yes—
122#13133127C23116yes—
123C4×#88322C2314yes—
124C8×Dic53C23116yes—
125C23×C4×C53C2×C411yescharacteristic
126C23×C4×C53C2×C411yescharacteristic
127C23×C4×C53C2311yescharacteristic
128C2×M16×C53C2314yes—
129C2×C42×C53C2×C411yescharacteristic
130C2×C42×C53C2×C411yescharacteristic
131C2×C42×C53C2×C411yescharacteristic
132C2×C42×C53C2×C411yescharacteristic
133C2×C42×C53C2×C411yescharacteristic
134C2×C42×C53C2×C411yescharacteristic
135C2×C42×C53C2311yescharacteristic
136C2×C42×C53C2311yescharacteristic
137C2×C42×C53C2311yescharacteristic
138C2×C42×C53C2311yescharacteristic
139C2×C42×C53C2311yescharacteristic
140C2×C42×C53C2311yescharacteristic
141C4⋊C8×C53C2314yes—
142C4⋊C8×C53C2314yes—
143C22⋊C8×C53C2314yes—
144C22⋊C8×C53C2314yes—
145#97×C53C2314yes—
146C4×C8×C53C2314yes—
147C24×C53C22×C411yescharacteristic
148C22×C4×C53—24no—
149C22×C4×C53—24no—
150C22×C4×C53—42no—
151C22×C4×C53C22×C411yescharacteristic
152C22×C4×C53C22×C411yescharacteristic
153C22×C4×C53C22×C411yescharacteristic
154C22×C4×C53C22×C411yescharacteristic
155C22×C4×C53C22×C411yescharacteristic
156C22×C4×C53C22×C411yescharacteristic
157C22×C4×C53C22×C411yescharacteristic
158C22×C4×C53C22×C411yescharacteristic
159C22×C4×C53C22×C411yescharacteristic
160C22×C4×C53C22×C411yescharacteristic
161C22×C4×C53C22×C411yescharacteristic
162C22×C4×C53C22×C411yescharacteristic
163C22×C4×C53C22×C411yescharacteristic
164C22×C4×C53C22×C411yescharacteristic
165C22×C4×C53C22×C411yescharacteristic
166C22×C4×C53C2411yescharacteristic
167C22×C4×C53C2411yescharacteristic
168C22×C4×C53C2411yescharacteristic
169C22×Dic53—28no—
170C22×Dic53—44no—
171C22×Dic53C22×C414yes—
172C22×Dic53C22×C412yes—
173C22×Dic53C22×C414yes—
174C22×Dic53C22×C414yes—
175C22×Dic53C22×C414yes—
176C22×Dic53C22×C412yes—
177C22×Dic53C22×C412yes—
178C22×Dic53C22×C412yes—
179C2×Dic106—24no—
180C2×Dic106—28no—
181C2×Dic106—28no—
182C2×Dic106—28no—
183C2×Dic106—28no—
184C2×Dic106—28no—
185C2×Dic106M1618yescomplemented
186C2×Dic106C22×C412yes—
187C2×Dic106C22×C412yes—
188C2×Dic106C22×C414yes—
189C2×Dic106C22×C414yes—
190C2×Dic106C22×C412yes—
191C2×Dic106C22×C412yes—
192M16×C53—28no—
193C2×C8×C53C2418yes—
194C42×C53C22×C411yescharacteristic
195C42×C53C22×C411yescharacteristic
196C42×C53C22×C411yescharacteristic
197C42×C53C22×C411yescharacteristic
198C42×C53C22×C411yescharacteristic
199C42×C53C22×C411yescharacteristic
200C42×C53C22×C411yescharacteristic
201C42×C53C22×C411yescharacteristic
202C42×C53C22×C411yescharacteristic
203C42×C53C22×C411yescharacteristic
204C42×C53C22×C411yescharacteristic
205C42×C53C22×C411yescharacteristic
206C42×C53C2411yescharacteristic
207C42×C53C2411yescharacteristic
208C42×C53C2411yescharacteristic
209C42×C53C2411yescharacteristic
210C4⋊Dic53C22×C414yes—
211C4⋊Dic53C22×C414yes—
212C4⋊Dic53C22×C412yes—
213C4⋊Dic53C22×C412yes—
214C4⋊Dic53C22×C412yes—
215C4⋊Dic53C22×C412yes—
216#11719919C22×C414yes—
217#11719919C22×C414yes—
218#11719919C22×C414yes—
219#11719919C22×C414yes—
220#11719919C22×C414yes—
221#11719919C22×C414yes—
222#11719919C22×C414yes—
223#11719919C22×C414yes—
224C4×Dic53C22×C414yes—
225C4×Dic53C22×C414yes—
226C4×Dic53C22×C414yes—
227C4×Dic53C22×C414yes—
228C4×Dic53C22×C414yes—
229C4×Dic53C22×C414yes—
230C4×Dic53C2414yes—
231C4×Dic53C2414yes—
232#11719917—28no—
233C2×#88322C2418yes—
234C23×C53—22no—
235C23×C53—22no—
236C23×C53—22no—
237C23×C53C23×C411yescharacteristic
238C23×C53C23×C411yescharacteristic
239C23×C53C23×C411yescharacteristic
240C2×C4×C53—22no—
241C2×C4×C53—22no—
242C2×C4×C53—22no—
243C2×C4×C53—22no—
244C2×C4×C53—22no—
245C2×C4×C53—22no—
246C2×C4×C53—22no—
247C2×C4×C53—22no—
248C2×C4×C53—22no—
249C2×C4×C53—22no—
250C2×C4×C53—22no—
251C2×C4×C53—22no—
252C2×C4×C53—41no—
253C2×C4×C53—41no—
254C2×C4×C53—41no—
255C2×C4×C53—41no—
256C2×C4×C53C2×M1614yes—
257C2×C4×C53C23×C411yescharacteristic
258C2×C4×C53C23×C411yescharacteristic
259C2×C4×C53C23×C411yescharacteristic
260C2×C4×C53C23×C411yescharacteristic
261C2×C4×C53C23×C411yescharacteristic
262C2×C4×C53C23×C411yescharacteristic
263C2×C4×C53C23×C411yescharacteristic
264C2×C4×C53C23×C411yescharacteristic
265C2×C4×C53C23×C411yescharacteristic
266C2×C4×C53C23×C411yescharacteristic
267C2×C4×C53C23×C411yescharacteristic
268C2×C4×C532−1+414yes—
269C2×C4×C53C2511yescharacteristic
270C2×Dic53—24no—
271C2×Dic53—28no—
272C2×Dic53—28no—
273C2×Dic53—28no—
274C2×Dic53—44no—
275C2×Dic53—42no—
276C2×Dic53—42no—
277C2×Dic53C2×M1618yes—
278C2×Dic53C23×C414yes—
279C2×Dic53C23×C414yes—
280C2×Dic53C23×C414yes—
281C2×Dic53C23×C414yes—
282Dic106—24no—
283Dic106—24no—
284Dic106—28no—
285Dic106—28no—
286Dic106C2×M1618yes—
287Dic106C2×M1618yes—
288C8×C53—28no—
289#88322—28no—
290#60248—531nomaximal, Sylow
291C22×C53—28no—
292C22×C53—21no—
293C22×C53—21no—
294C22×C53—21no—
295C22×C53—21no—
296C22×C53—21no—
297C22×C53—21no—
298C22×C53#51912yes—
299C22×C53C22×M1612yes—
300C22×C53#56812yes—
301C22×C53C24×C411yescharacteristic
302C4×C53—21no—
303C4×C53—21no—
304C4×C53—21no—
305C4×C53—21no—
306C4×C53—21no—
307C4×C53—21no—
308C4×C53—21no—
309C4×C53—21no—
310C4×C53#51912yes—
311C4×C53C22×M1612yes—
312C4×C53C22×M1612yes—
313C4×C53C2×2−1+412yes—
314Dic53—24no—
315Dic53—24no—
316Dic53—24no—
317Dic53C22×M1618yes—
318C22×C4×Q8—531no—
319#2984—534no—
320#2984—534no—
321#2983—534no—
322#2983—532no—
323#2982—532no—
324Q8×M16—534no—
325Q8×M16—534no—
326#2920—531no—
327#2920—534no—
328#2920D5311yescharacteristic
329C2×C53—22no—
330C2×C53—22no—
331C2×C53—22no—
332C2×C53C2×#51911yescharacteristic
333C2×C53C23×M1611yescharacteristic
334C2×C53C2×#56811yescharacteristic
335C23×Q8—531no—
336C2×C4×Q8—531no—
337C2×C4×Q8—532no—
338C2×C4×Q8—532no—
339C2×C4×Q8—532no—
340C2×C4×Q8—532no—
341C2×C4×Q8—532no—
342C2×C4×Q8—531no—
343C2×C4×Q8—532no—
344C2×C4×Q8—532no—
345C2×C4×Q8—531no—
346C2×C4×Q8—532no—
347C2×C4×Q8—531no—
348C2×C4×Q8—532no—
349C2×C4×Q8—532no—
350C22×C4⋊C4—532no—
351C22×C4⋊C4—531no—
352C22×C42—532no—
353C22×C42C2×D5311yescharacteristic
354#446—5316no—
355#446—538no—
356#446—5316no—
357#446—538no—
358C8×Q8—538no—
359C8×Q8—538no—
360#432—532no—
361#432—532no—
362#432—538no—
363#432—538no—
364#432C2×D5312yes—
365#432C2×D5312yes—
366#431—532no—
367#431—532no—
368#431—538no—
369#431—538no—
370#431C2×D5312yes—
371#431C2×D5312yes—
372#423—538no—
373#423—532no—
374#423C2×D5312yes—
375#407—532no—
376#407C2×D5312yes—
377C4×M16—538no—
378C4×M16—532no—
379C4×M16C2×D5312yes—
380C53#6024811yescharacteristic, complemented, Sylow
381C22×Q8—531no—
382C22×Q8—532no—
383C22×Q8—532no—
384C22×Q8—532no—
385C22×Q8—532no—
386C22×Q8—532no—
387C22×Q8—531no—
388C22×Q8—1068no—
389C23×C4—532no—
390C23×C4—532no—
391C23×C4C4×D5311yescharacteristic
392C23×C4C4×D5311yescharacteristic
393C23×C4C22×D5311yescharacteristic
394C2×M16—534no—
395C2×M16C22×D5314yes—
396C4×Q8—532no—
397C4×Q8—532no—
398C4×Q8—532no—
399C4×Q8—532no—
400C4×Q8—532no—
401C4×Q8—532no—
402C4×Q8—534no—
403C4×Q8—534no—
404C4×Q8—532no—
405C4×Q8—532no—
406C4×Q8—534no—
407C4×Q8—534no—
408C4×Q8—532no—
409C4×Q8—532no—
410C4×Q8—534no—
411C4×Q8—534no—
412C4×Q8—532no—
413C4×Q8—532no—
414C4×Q8—532no—
415C4×Q8—532no—
416C4×Q8—534no—
417C4×Q8—534no—
418C4×Q8—532no—
419C4×Q8—532no—
420C2×C4⋊C4—532no—
421C2×C4⋊C4—532no—
422C2×C4⋊C4—534no—
423C2×C4⋊C4—534no—
424C2×C4⋊C4—534no—
425C2×C4⋊C4—534no—
426C2×C4⋊C4—532no—
427C2×C4⋊C4—532no—
428C2×C4⋊C4—532no—
429C2×C4⋊C4—532no—
430C2×C4⋊C4—532no—
431C2×C4⋊C4—532no—
432C2×C4⋊C4—532no—
433C2×C4⋊C4—531no—
434C2×C4⋊C4—531no—
435C2×C42—532no—
436C2×C42—534no—
437C2×C42—534no—
438C2×C42—532no—
439C2×C42—534no—
440C2×C42—532no—
441C2×C42—534no—
442C2×C42—532no—
443C2×C42C4×D5311yescharacteristic
444C2×C42C4×D5311yescharacteristic
445C2×C42C4×D5311yescharacteristic
446C2×C42C4×D5311yescharacteristic
447C2×C42C4×D5311yescharacteristic
448C2×C42C4×D5311yescharacteristic
449C2×C42C22×D5311yescharacteristic
450C2×C42C22×D5311yescharacteristic
451C2×C42C22×D5311yescharacteristic
452C2×C42C22×D5311yescharacteristic
453C2×C42C22×D5311yescharacteristic
454C2×C42C22×D5311yescharacteristic
455C4⋊C8—5316no—
456C4⋊C8—5316no—
457C4⋊C8—534no—
458C4⋊C8—534no—
459C4⋊C8C22×D5314yes—
460C4⋊C8C22×D5314yes—
461C22⋊C8—534no—
462C22⋊C8—534no—
463C22⋊C8C22×D5314yes—
464C22⋊C8C22×D5314yes—
465#97—5316no—
466#97—534no—
467#97C22×D5314yes—
468C4×C8—5316no—
469C4×C8—534no—
470C4×C8C22×D5314yes—
471C24C2×C4×D5311yescharacteristic
472C2×Q8—538no—
473C2×Q8—532no—
474C2×Q8—532no—
475C2×Q8—534no—
476C2×Q8—534no—
477C2×Q8—532no—
478C2×Q8—532no—
479C2×Q8—1068no—
480C2×Q8—1068no—
481C2×Q8—1068no—
482C2×Q8—1068no—
483C2×Q8—1068no—
484C2×Q8—1064no—
485C22×C4—24no—
486C22×C4—24no—
487C22×C4—42no—
488C22×C4—532no—
489C22×C4—534no—
490C22×C4—534no—
491C22×C4—534no—
492C22×C4—532no—
493C22×C4—534no—
494C22×C4—532no—
495C22×C4—532no—
496C22×C4—1068no—
497C22×C4—2124no—
498C22×C4C2×C4×D5311yescharacteristic
499C22×C4C2×C4×D5311yescharacteristic
500C22×C4C2×C4×D5311yescharacteristic
501C22×C4C2×C4×D5311yescharacteristic
502C22×C4C2×C4×D5311yescharacteristic
503C22×C4C2×C4×D5311yescharacteristic
504C22×C4C2×C4×D5311yescharacteristic
505C22×C4C2×C4×D5311yescharacteristic
506C22×C4C2×C4×D5311yescharacteristic
507C22×C4C2×C4×D5311yescharacteristic
508C22×C4C2×C4×D5311yescharacteristic
509C22×C4C2×C4×D5311yescharacteristic
510C22×C4C2×C4×D5311yescharacteristic
511C22×C4C2×C4×D5311yescharacteristic
512C22×C4C2×C4×D5311yescharacteristic
513C22×C4C23×D5311yescharacteristic
514C22×C4C23×D5311yescharacteristic
515C22×C4C23×D5311yescharacteristic
516M16—28no—
517M16—1068no—
518C2×C8—538no—
519C2×C8C23×D5318yes—
520C4⋊C4—534no—
521C4⋊C4—534no—
522C4⋊C4—534no—
523C4⋊C4—534no—
524C4⋊C4—534no—
525C4⋊C4—534no—
526C4⋊C4—534no—
527C4⋊C4—534no—
528C4⋊C4—534no—
529C4⋊C4—534no—
530C4⋊C4—532no—
531C4⋊C4—532no—
532C4⋊C4—532no—
533C4⋊C4—532no—
534C42—534no—
535C42—534no—
536C42—534no—
537C42—534no—
538C42—534no—
539C42—534no—
540C42—534no—
541C42—534no—
542C42C2×C4×D5311yescharacteristic
543C42C2×C4×D5311yescharacteristic
544C42C2×C4×D5311yescharacteristic
545C42C2×C4×D5311yescharacteristic
546C42C2×C4×D5311yescharacteristic
547C42C2×C4×D5311yescharacteristic
548C42C2×C4×D5311yescharacteristic
549C42C2×C4×D5311yescharacteristic
550C42C2×C4×D5311yescharacteristic
551C42C2×C4×D5311yescharacteristic
552C42C2×C4×D5311yescharacteristic
553C42C2×C4×D5311yescharacteristic
554C42C23×D5311yescharacteristic
555C42C23×D5311yescharacteristic
556C42C23×D5311yescharacteristic
557C42C23×D5311yescharacteristic
558C23—22no—
559C23—22no—
560C23—22no—
561C23C22×C4×D5311yescharacteristic
562C23C22×C4×D5311yescharacteristic
563C23C22×C4×D5311yescharacteristic
564Q8—538no—
565Q8—538no—
566Q8—1068no—
567Q8—1068no—
568Q8—1064no—
569Q8—1064no—
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—538no—
587C2×C4—534no—
588C2×C4—534no—
589C2×C4—534no—
590C2×C4—534no—
591C2×C4—1068no—
592C2×C4—1068no—
593C2×C4—1064no—
594C2×C4—1068no—
595C2×C4—2124no—
596C2×C4—2122no—
597C2×C4—2122no—
598C2×C4M16×D5314yes—
599C2×C4C22×C4×D5311yescharacteristic
600C2×C4C22×C4×D5311yescharacteristic
601C2×C4C22×C4×D5311yescharacteristic
602C2×C4C22×C4×D5311yescharacteristic
603C2×C4C22×C4×D5311yescharacteristic
604C2×C4C22×C4×D5311yescharacteristic
605C2×C4C22×C4×D5311yescharacteristic
606C2×C4C22×C4×D5311yescharacteristic
607C2×C4C22×C4×D5311yescharacteristic
608C2×C4C22×C4×D5311yescharacteristic
609C2×C4C22×C4×D5311yescharacteristic
610C2×C4#1313326414yes—
611C2×C4C24×D5311yescharacteristic
612C8—28no—
613C8—1068no—
614C22—28no—
615C22—21no—
616C22—21no—
617C22—21no—
618C22—21no—
619C22—21no—
620C22—21no—
621C22#1681110012yes—
622C22C2×M16×D5312yes—
623C22#1681138912yes—
624C22C23×C4×D5311yescharacteristic
625C4—21no—
626C4—21no—
627C4—21no—
628C4—21no—
629C4—21no—
630C4—21no—
631C4—21no—
632C4—21no—
633C4—538no—
634C4—1064no—
635C4—1064no—
636C4—1064no—
637C4#1681110012yes—
638C4C2×M16×D5312yes—
639C4C2×M16×D5312yes—
640C4C2×#1313326412yes—
641C2—22no—
642C2—22no—
643C2—22no—
644C2C2×#1681110011yescharacteristic
645C2C22×M16×D5311yescharacteristic
646C2C2×#1681138911yescharacteristic
subgroupG/H
center, FrattiniC2×C4C24×D53
commutator, socleC22×C53C24×C4
FittingC53×#2920C2
prime radicalC24×C53C22×C4
cosocleC2×C4×C53C25
hypercenter#2920D53
hypocenterC53#60248
LCSG ▷ C22×C53 ▷ C53
UCSC1 ◁ C2×C4 ◁ #2920

Complements

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

NH ≅ G/Ntype
2. #20283805C2semidirect
3. #20283802C2semidirect
4. #20283799C2semidirect
5. #20283798C2semidirect
6. #20283795C2semidirect
7. M16×Dic106C2semidirect
8. #20283666C2semidirect
30. #16810753C22semidirect
31. #16810752C22semidirect
32. #16810751C22semidirect
33. #16810750C22semidirect
34. C8×Dic106C22semidirect
35. #16810747C22semidirect
185. C2×Dic106M16semidirect
380. C53#60248semidirect

Maximal subgroups

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

subgroupindex
C22×C4×Dic1062
#202838052
#202838022
#202837992
#202837982
#202837952
M16×Dic1062
#202836662
#202833482
#202833442
C53×#29202
#6024853