Finite Group Databasebeta

← C2×#20287397 #28263701

Subgroups — C2×#20287397 #28263701

Order 13568.

1830 conjugacy classes of subgroups.

The subgroup lattice has 700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16811350C211yesmaximal, characteristic, complemented
2C2×#16811342C211yesmaximal, characteristic
3#20287397C2116yesmaximal, direct product factor
4C2×#16810976C211yesmaximal, characteristic
5C2×#16810972C211yesmaximal, characteristic, complemented
6C2×#16810932C211yesmaximal, characteristic, complemented
7C2×#16810927C211yesmaximal, characteristic, complemented
8C2×#16810901C211yesmaximal, characteristic
9C2×#16810844C211yesmaximal, characteristic
10C2×#16810842C211yesmaximal, characteristic
11C2×#16810832C211yesmaximal, characteristic, complemented
12C2×C8×Dic106C211yesmaximal, characteristic, complemented
13C2×C4×Dic212C211yesmaximal, characteristic, complemented
14C2×#16810715C211yesmaximal, characteristic, complemented
15C2×#16810714C211yesmaximal, characteristic
16C2×C53×#488C211yesmaximal, characteristic
17C22×Dic212C2211yescharacteristic
18C22×#11719925C2211yescharacteristic
19C22×#11719923C2211yescharacteristic
20#16811350—24no—
21#16811350C2218yescomplemented
22#16811342—24no—
23#16811342C2218yes—
24C2×#13133216—21no—
25C2×#13133216C2211yescharacteristic
26C2×#13133215C2211yescharacteristic
27C2×#13133210—21no—
28C2×#13133210—21no—
29C2×#13133208C2211yescharacteristic
30C2×#13133207—21no—
31C2×#13133207—21no—
32C2×#13133204C2211yescharacteristic
33C2×#13133194—21no—
34C2×Q8×Dic53C2211yescharacteristic
35C2×C4×Dic106C2211yescharacteristic
36C2×C4×Dic106C2211yescharacteristic
37C2×C4×Dic106C2211yescharacteristic
38C2×#13133182—21no—
39C2×#13133182C2211yescharacteristic
40C2×#13133182C2211yescharacteristic
41C2×D4×Dic53C2211yescharacteristic
42C2×#13133173—21no—
43#16810976C2218yes—
44#16810972C2218yescomplemented
45#16810932C2218yescomplemented
46#16810927C2218yescomplemented
47#16810901C2218yes—
48#16810844C2218yes—
49#16810842C2218yes—
50#16810832C2218yescomplemented
51C8×Dic106C2218yescomplemented
52C4×Dic212C2218yescomplemented
53#16810715C2218yescomplemented
54#16810714C2218yes—
55C2×#13133151C2211yescharacteristic
56C2×#13133150C2211yescharacteristic
57C2×#13133148C2211yescharacteristic
58C2×C4⋊#88322C2211yescharacteristic
59C2×#13133146C2211yescharacteristic
60C2×#13133146C2211yescharacteristic
61C2×#13133142C2211yescharacteristic
62C2×#13133142C2211yescharacteristic
63C2×#13133141C2211yescharacteristic
64C2×#13133140C2211yescharacteristic
65C2×#13133140C2211yescharacteristic
66C2×#13133138C2211yescharacteristic
67C2×C8×Dic53C2211yescharacteristic
68C2×C8×Dic53C2211yescharacteristic
69C2×#125×C53C2211yescharacteristic
70C2×#124×C53C2211yescharacteristic
71C53×#488C2218yes—
72C2×#103×C53C2211yescharacteristic
73C2×#103×C53C2211yescharacteristic
74C2×#102×C53C2211yescharacteristic
75C2×#102×C53C2211yescharacteristic
76C2×C4×C8×C53C2211yescharacteristic
77C22×Dic106—21no—
78C22×Dic106D411yescharacteristic
79C22×Dic106C2311yescharacteristic
80C22×Dic106C2311yescharacteristic
81C23×Dic53—21no—
82C2×Dic212—24no—
83C2×Dic212C2314yes—
84C2×#11719925—24no—
85C2×#11719925C2314yes—
86C2×#11719923—24no—
87C2×#11719923C2314yes—
88C22×#88322C2311yescharacteristic
89C22×#88322C2311yescharacteristic
90#13133216—22no—
91#13133216—28no—
92#13133216C2314yes—
93#13133215—22no—
94#13133215C2314yes—
95#13133210—28no—
96#13133210—28no—
97#13133208—22no—
98#13133208C2314yes—
99#13133207—28no—
100#13133207—28no—
101#13133204—22no—
102#13133204C2314yes—
103#13133194—28no—
104Q8×Dic53—22no—
105Q8×Dic53C2314yes—
106C4×Dic106—22no—
107C4×Dic106—22no—
108C4×Dic106D414yes—
109C4×Dic106C2314yes—
110C4×Dic106C2314yes—
111C4×Dic106C2314yes—
112#13133182—28no—
113#13133182—22no—
114#13133182—22no—
115#13133182C2314yes—
116#13133182C2314yes—
117D4×Dic53—22no—
118D4×Dic53C2314yes—
119#13133173—28no—
120C2×C4⋊Dic53—21no—
121C2×C4⋊Dic53—21no—
122C2×C4⋊Dic53D411yescharacteristic
123C2×C4⋊Dic53C2311yescharacteristic
124C2×C4⋊Dic53C2311yescharacteristic
125C2×#11719919—21no—
126C2×#11719919—21no—
127C2×#11719919—21no—
128C2×#11719919—21no—
129C2×#11719919—21no—
130C2×#11719919—21no—
131C2×#11719919—21no—
132C2×#11719919—21no—
133C2×#11719919D411yescharacteristic
134C2×#11719919D411yescharacteristic
135C2×C22⋊Dic53—21no—
136C2×C22⋊Dic53—21no—
137C2×C22⋊Dic53—21no—
138C2×C4×Dic53—21no—
139C2×C4×Dic53—21no—
140C2×C4×Dic53—21no—
141C2×C4×Dic53—21no—
142C2×C4×Dic53—21no—
143C2×C4×Dic53C2311yescharacteristic
144C2×C4×Dic53C2311yescharacteristic
145#13133151C2314yes—
146#13133150C2314yes—
147#13133148C2314yes—
148C4⋊#88322C2314yes—
149#13133146C2314yes—
150#13133146C2314yes—
151#13133142C2314yes—
152#13133142C2314yes—
153#13133141C2314yes—
154#13133140C2314yes—
155#13133140C2314yes—
156#13133138C2314yes—
157C8×Dic53C2314yes—
158C8×Dic53C2314yes—
159C22×Q8×C53C2311yescharacteristic
160C22×D4×C53C2311yescharacteristic
161C22×C8×C53C2311yescharacteristic
162C22×C8×C53C2311yescharacteristic
163#125×C53—22no—
164#125×C53C2314yes—
165#124×C53—22no—
166#124×C53C2314yes—
167C2×C4⋊C4×C53—21no—
168C2×C4⋊C4×C53—21no—
169C2×C4⋊C4×C53C2311yescharacteristic
170C2×C4⋊C4×C53C2311yescharacteristic
171C2×C22⋊C4×C53—21no—
172C2×C22⋊C4×C53—21no—
173C2×C42×C53C2311yescharacteristic
174#103×C53C2314yes—
175#103×C53C2314yes—
176#102×C53C2314yes—
177#102×C53C2314yes—
178C4×C8×C53C2314yes—
179C24×C53—21no—
180C2×Q8×C53—21no—
181C2×Q8×C53—22no—
182C2×Q8×C53—22no—
183C2×Q8×C53C2412yes—
184C2×D4×C53—21no—
185C2×D4×C53—22no—
186C2×D4×C53—22no—
187C2×D4×C53C2412yes—
188C22×C4×C53—21no—
189C22×C4×C53—21no—
190C22×C4×C53—21no—
191C22×C4×C53C2×D411yescharacteristic
192C22×C4×C53C2×D411yescharacteristic
193C22×C4×C53C2411yescharacteristic
194C22×Dic53—21no—
195C22×Dic53—21no—
196C22×Dic53—21no—
197C22×Dic53—21no—
198C22×Dic53—24no—
199C22×Dic53—44no—
200C22×Dic53C2×D411yescharacteristic
201C22×Dic53C2×D411yescharacteristic
202C22×Dic53C2×D411yescharacteristic
203C22×Dic53C2×D411yescharacteristic
204C2×Dic106—21no—
205C2×Dic106—22no—
206C2×Dic106—24no—
207C2×Dic106—22no—
208C2×Dic106—22no—
209C2×Dic106—21no—
210C2×Dic106—24no—
211C2×Dic106—44no—
212C2×Dic106C2×D414yes—
213C2×Dic106#4114yes—
214C2×Dic106C2412yes—
215C2×Dic106C2412yes—
216C2×C8×C53—22no—
217C2×C8×C53—22no—
218C2×C8×C53C2412yes—
219C2×C8×C53C2412yes—
220C4⋊C4×C53—24no—
221C4⋊C4×C53—24no—
222C4⋊C4×C53—21no—
223C4⋊C4×C53—21no—
224C4⋊C4×C53C2412yes—
225C4⋊C4×C53C2412yes—
226C22⋊C4×C53—24no—
227C22⋊C4×C53—24no—
228C42×C53C2×D412yes—
229C42×C53C2412yes—
230C22⋊Dic53—24no—
231C22⋊Dic53—24no—
232C22⋊Dic53—24no—
233#11719925—28no—
234#11719923—28no—
235C4⋊Dic53—21no—
236C4⋊Dic53—21no—
237C4⋊Dic53—24no—
238C4⋊Dic53—24no—
239C4⋊Dic53C2×D414yes—
240C4⋊Dic53C2412yes—
241C4⋊Dic53C2412yes—
242#11719919—24no—
243#11719919—24no—
244#11719919—24no—
245#11719919—24no—
246#11719919—24no—
247#11719919—24no—
248#11719919—24no—
249#11719919—24no—
250#11719919C2×D414yes—
251#11719919C2×D414yes—
252C4×Dic53—24no—
253C4×Dic53—24no—
254C4×Dic53—24no—
255C4×Dic53—24no—
256C4×Dic53—24no—
257C4×Dic53C2×D412yes—
258C4×Dic53C2×D412yes—
259C4×Dic53C2412yes—
260C4×Dic53C2412yes—
261C2×#88322—22no—
262C2×#88322—22no—
263C2×#88322C2412yes—
264C2×#88322C2412yes—
265Dic212—28no—
266C23×C53—22no—
267C23×C53—42no—
268C23×C53—42no—
269C23×C53—42no—
270C23×C53C22×D411yescharacteristic
271Q8×C53—22no—
272Q8×C53—22no—
273Q8×C53—42no—
274D4×C53—22no—
275D4×C53—22no—
276D4×C53—42no—
277C2×C4×C53—22no—
278C2×C4×C53—22no—
279C2×C4×C53—22no—
280C2×C4×C53—22no—
281C2×C4×C53—22no—
282C2×C4×C53—42no—
283C2×C4×C53—42no—
284C2×C4×C53—42no—
285C2×C4×C53C22×D412yes—
286C2×C4×C53C22×D412yes—
287C2×C4×C53C22×D411yescharacteristic
288C2×C4×C53C2×#4112yes—
289C2×C4×C532−1+412yes—
290C2×C4×C53C2511yescharacteristic
291C2×Dic53—24no—
292C2×Dic53—22no—
293C2×Dic53—22no—
294C2×Dic53—22no—
295C2×Dic53—22no—
296C2×Dic53—22no—
297C2×Dic53—22no—
298C2×Dic53—22no—
299C2×Dic53—42no—
300C2×Dic53—42no—
301C2×Dic53—42no—
302C2×Dic53—48no—
303C2×Dic53#13514yes—
304C2×Dic53C22×D412yes—
305C2×Dic53C22×D412yes—
306C2×Dic53C22×D412yes—
307C2×Dic53C22×D412yes—
308Dic106—24no—
309Dic106—22no—
310Dic106—28no—
311Dic106—22no—
312Dic106—22no—
313Dic106—42no—
314Dic106—48no—
315Dic106C2×#4114yes—
316C8×C53—22no—
317C8×C53—22no—
318#88322—22no—
319#88322—22no—
320C2×#3364—531nomaximal, Sylow
321C22×C53—42no—
322C22×C53—42no—
323C22×C53—42no—
324C22×C53—84no—
325C22×C53#54812yes—
326C22×C53C2×#13512yes—
327C22×C53#57812yes—
328C22×C53C23×D411yescharacteristic
329C4×C53—22no—
330C4×C53—22no—
331C4×C53—42no—
332C4×C53—42no—
333C4×C53—42no—
334C4×C53#54812yes—
335C4×C53C22×#4111yescharacteristic
336C4×C53C2×2−1+411yescharacteristic
337Dic53—24no—
338Dic53—22no—
339Dic53—22no—
340Dic53—22no—
341Dic53—42no—
342Dic53—42no—
343Dic53—42no—
344Dic53C2×#13514yes—
345C2×#557—531no—
346C2×#556—531no—
347#3364—5316no—
348C2×#488—531no—
349C2×#488D5311yescharacteristic
350C2×#487—531no—
351C2×#479—531no—
352C2×#479—531no—
353C2×#474—531no—
354C2×#464—531no—
355C2×#464—531no—
356C2×#462—531no—
357C2×C8×Q8—531no—
358C2×C4×Q16—531no—
359C2×C4×Q16—531no—
360C2×C4×SD16—531no—
361C2×C53—82no—
362C2×C53#336414yescomplemented
363C2×C53C2×#54811yescharacteristic
364C2×C53C22×#13511yescharacteristic
365C2×C53C2×#57811yescharacteristic
366C22×Q16—531no—
367C22×Q16—531no—
368C22×SD16—531no—
369#557—538no—
370#557—1064no—
371#556—538no—
372#556—1064no—
373C2×C4⋊Q8—531no—
374C2×C4⋊Q8—531no—
375C2×C4⋊Q8—1061no—
376C2×#126—1061no—
377C2×#126—1061no—
378C2×#125—531no—
379C2×#125—1061no—
380C2×#125—1061no—
381C2×#125C2×D5311yescharacteristic
382C2×#124—531no—
383C2×#124C2×D5311yescharacteristic
384C2×C22⋊Q8—1061no—
385C2×C4×Q8—531no—
386C2×C4×Q8—531no—
387C2×C4×Q8—531no—
388C2×C4×Q8—531no—
389C2×C4×Q8—531no—
390C2×C4×Q8—531no—
391C2×C4×Q8—1061no—
392C2×C4×D4—531no—
393C2×#117—1061no—
394#488—538no—
395#488C2×D5318yes—
396#487—538no—
397#479—538no—
398#479—538no—
399#474—538no—
400#464—538no—
401#464—538no—
402#462—538no—
403C8×Q8—538no—
404C4×Q16—538no—
405C4×Q16—538no—
406C4×SD16—538no—
407C2×#107—531no—
408C2×#107—531no—
409C2×#106—531no—
410C2×C4⋊C8—531no—
411C2×C4⋊C8—531no—
412C2×C4⋊C8—531no—
413C2×#103—531no—
414C2×#103—531no—
415C2×#103—531no—
416C2×#103—531no—
417C2×#103—531no—
418C2×#103C2×D5311yescharacteristic
419C2×#103C2×D5311yescharacteristic
420C2×#102—531no—
421C2×#102C2×D5311yescharacteristic
422C2×#102C2×D5311yescharacteristic
423C2×C4×C8—531no—
424C2×C4×C8—531no—
425C2×C4×C8C2×D5311yescharacteristic
426C53C2×#336411yescharacteristic, complemented, Sylow
427C22×Q8—531no—
428C22×Q8—531no—
429C22×Q8—531no—
430C22×Q8—1061no—
431C22×Q8C22×D5311yescharacteristic
432C22×D4C22×D5311yescharacteristic
433C23×C4—1061no—
434C2×Q16—534no—
435C2×Q16—534no—
436C2×Q16—1064no—
437C2×Q16—1064no—
438C2×SD16—534no—
439C2×SD16—1064no—
440C22×C8—531no—
441C22×C8—531no—
442C22×C8C22×D5311yescharacteristic
443C22×C8C22×D5311yescharacteristic
444C4⋊Q8—534no—
445C4⋊Q8—534no—
446C4⋊Q8—1062no—
447C4⋊Q8—1062no—
448C4⋊Q8—1068no—
449#126—1068no—
450#126—1068no—
451#125—22no—
452#125—534no—
453#125—1062no—
454#125—1068no—
455#125—1068no—
456#125C22×D5314yes—
457#124—22no—
458#124—534no—
459#124—1062no—
460#124C22×D5314yes—
461C22⋊Q8—1068no—
462C4×Q8—534no—
463C4×Q8—534no—
464C4×Q8—534no—
465C4×Q8—534no—
466C4×Q8—534no—
467C4×Q8—534no—
468C4×Q8—534no—
469C4×Q8—1062no—
470C4×Q8—1062no—
471C4×Q8—1062no—
472C4×Q8—1068no—
473C4×Q8—1062no—
474C4×Q8—1062no—
475C4×D4—534no—
476C4×D4—1062no—
477#117—1068no—
478C2×C4⋊C4—21no—
479C2×C4⋊C4—21no—
480C2×C4⋊C4—531no—
481C2×C4⋊C4—531no—
482C2×C4⋊C4—531no—
483C2×C4⋊C4—531no—
484C2×C4⋊C4—531no—
485C2×C4⋊C4—1061no—
486C2×C4⋊C4—1061no—
487C2×C4⋊C4—1061no—
488C2×C4⋊C4—1061no—
489C2×C4⋊C4—1061no—
490C2×C4⋊C4—1061no—
491C2×C4⋊C4—1061no—
492C2×C4⋊C4—1061no—
493C2×C4⋊C4—1061no—
494C2×C4⋊C4—1061no—
495C2×C4⋊C4C22×D5311yescharacteristic
496C2×C4⋊C4C22×D5311yescharacteristic
497C2×C22⋊C4—21no—
498C2×C22⋊C4—21no—
499C2×C22⋊C4—1061no—
500C2×C22⋊C4—1061no—
501C2×C22⋊C4—1061no—
502C2×C42—531no—
503C2×C42—531no—
504C2×C42—1061no—
505C2×C42—1061no—
506C2×C42—1061no—
507C2×C42—1061no—
508C2×C42—1061no—
509C2×C42C22×D5311yescharacteristic
510#107—534no—
511#107—534no—
512#106—534no—
513C4⋊C8—534no—
514C4⋊C8—534no—
515C4⋊C8—534no—
516#103—534no—
517#103—534no—
518#103—534no—
519#103—534no—
520#103—534no—
521#103C22×D5314yes—
522#103C22×D5314yes—
523#102—534no—
524#102C22×D5314yes—
525#102C22×D5314yes—
526C4×C8—534no—
527C4×C8—534no—
528C4×C8C22×D5314yes—
529C24—21no—
530C2×Q8—21no—
531C2×Q8—22no—
532C2×Q8—22no—
533C2×Q8—534no—
534C2×Q8—534no—
535C2×Q8—532no—
536C2×Q8—532no—
537C2×Q8—1064no—
538C2×Q8—1064no—
539C2×Q8—1061no—
540C2×Q8—1061no—
541C2×Q8—1062no—
542C2×Q8—1062no—
543C2×Q8—1062no—
544C2×Q8—2124no—
545C2×Q8C23×D5312yes—
546C2×D4—21no—
547C2×D4—22no—
548C2×D4—22no—
549C2×D4C23×D5312yes—
550C22×C4—21no—
551C22×C4—21no—
552C22×C4—21no—
553C22×C4—531no—
554C22×C4—531no—
555C22×C4—531no—
556C22×C4—531no—
557C22×C4—1064no—
558C22×C4—1061no—
559C22×C4—1061no—
560C22×C4—1061no—
561C22×C4—1061no—
562C22×C4—2124no—
563C22×C4D4×D5311yescharacteristic
564C22×C4D4×D5311yescharacteristic
565C22×C4C23×D5311yescharacteristic
566Q16—1068no—
567Q16—1068no—
568SD16—1068no—
569C2×C8—22no—
570C2×C8—22no—
571C2×C8—532no—
572C2×C8—532no—
573C2×C8—1062no—
574C2×C8—1062no—
575C2×C8C23×D5312yes—
576C2×C8C23×D5312yes—
577C4⋊C4—24no—
578C4⋊C4—24no—
579C4⋊C4—21no—
580C4⋊C4—21no—
581C4⋊C4—534no—
582C4⋊C4—534no—
583C4⋊C4—534no—
584C4⋊C4—532no—
585C4⋊C4—532no—
586C4⋊C4—1064no—
587C4⋊C4—1064no—
588C4⋊C4—1064no—
589C4⋊C4—1064no—
590C4⋊C4—1064no—
591C4⋊C4—1064no—
592C4⋊C4—1064no—
593C4⋊C4—1064no—
594C4⋊C4—1061no—
595C4⋊C4—1061no—
596C4⋊C4—1064no—
597C4⋊C4—1064no—
598C4⋊C4C23×D5312yes—
599C4⋊C4C23×D5312yes—
600C22⋊C4—24no—
601C22⋊C4—24no—
602C22⋊C4—1064no—
603C22⋊C4—1064no—
604C22⋊C4—1064no—
605C42—532no—
606C42—532no—
607C42—532no—
608C42—532no—
609C42—1064no—
610C42—1064no—
611C42—1064no—
612C42—1064no—
613C42—1064no—
614C42D4×D5312yes—
615C42C23×D5312yes—
616C23—22no—
617C23—42no—
618C23—42no—
619C23—42no—
620C23C2×D4×D5311yescharacteristic
621Q8—22no—
622Q8—22no—
623Q8—42no—
624Q8—534no—
625Q8—1068no—
626Q8—1064no—
627Q8—1062no—
628Q8—1062no—
629Q8—1062no—
630Q8—2128no—
631Q8—2122no—
632D4—22no—
633D4—22no—
634D4—42no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—42no—
641C2×C4—42no—
642C2×C4—42no—
643C2×C4—534no—
644C2×C4—532no—
645C2×C4—532no—
646C2×C4—532no—
647C2×C4—532no—
648C2×C4—1064no—
649C2×C4—1062no—
650C2×C4—1062no—
651C2×C4—1062no—
652C2×C4—1062no—
653C2×C4—1062no—
654C2×C4—1062no—
655C2×C4—1062no—
656C2×C4—2128no—
657C2×C4—2122no—
658C2×C4—2122no—
659C2×C4—2122no—
660C2×C4C2×D4×D5312yes—
661C2×C4C2×D4×D5312yes—
662C2×C4C2×D4×D5311yescharacteristic
663C2×C4#41×D5312yes—
664C2×C4#1313326412yes—
665C2×C4C24×D5311yescharacteristic
666C8—22no—
667C8—22no—
668C8—1062no—
669C8—1062no—
670C22—42no—
671C22—42no—
672C22—42no—
673C22—84no—
674C22#1681128112yes—
675C22#135×D5312yes—
676C22#1681143712yes—
677C22C22×D4×D5311yescharacteristic
678C4—22no—
679C4—22no—
680C4—42no—
681C4—42no—
682C4—42no—
683C4—534no—
684C4—1062no—
685C4—1064no—
686C4—1062no—
687C4—1062no—
688C4—2122no—
689C4—2122no—
690C4—2122no—
691C4#1681128112yes—
692C4C2×#41×D5311yescharacteristic
693C4C2×#1313326411yescharacteristic
694C2—82no—
695C2#2028739714yesdirect product factor
696C2C2×#1681128111yescharacteristic
697C2C2×#135×D5311yescharacteristic
698C2C2×#1681143711yescharacteristic
subgroupG/H
centerC23C2×D4×D53
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC2×C53×#488C2
socleC23×C53C22×D4
prime radicalC22×D4×C53C23
hypercenterC2×#488D53
hypocenterC53C2×#3364
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#488

Complements

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

NH ≅ G/Ntype
1. C2×#16811350C2semidirect
3. #20287397C2direct (N × H)
5. C2×#16810972C2semidirect
6. C2×#16810932C2semidirect
7. C2×#16810927C2semidirect
11. C2×#16810832C2semidirect
12. C2×C8×Dic106C2semidirect
13. C2×C4×Dic212C2semidirect
14. C2×#16810715C2semidirect
21. #16811350C22semidirect
44. #16810972C22semidirect
45. #16810932C22semidirect
46. #16810927C22semidirect
50. #16810832C22semidirect
51. C8×Dic106C22semidirect
52. C4×Dic212C22semidirect
53. #16810715C22semidirect
362. C2×C53#3364semidirect
426. C53C2×#3364semidirect
695. C2#20287397direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#168113502
C2×#168113422
#202873972
C2×#168109762
C2×#168109722
C2×#168109322
C2×#168109272
C2×#168109012
C2×#168108442
C2×#168108422
C2×#168108322
C2×C8×Dic1062
C2×C4×Dic2122
C2×#168107152
C2×#168107142
C2×C53×#4882
C2×#336453