Finite Group Databasebeta

← C2×#21435366 #29460896

Subgroups — C2×#21435366 #29460896

Order 15104.

1678 conjugacy classes of subgroups.

The subgroup lattice has 678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16838030C211yesmaximal, characteristic
2C2×#16838014C211yesmaximal, characteristic
3#21435366C2116yesmaximal, direct product factor
4C2×#16837811C211yesmaximal, characteristic, complemented
5C2×#16837804C211yesmaximal, characteristic, complemented
6C2×#16837771C211yesmaximal, characteristic, complemented
7C2×#16837753C211yesmaximal, characteristic, complemented
8C2×#16837738C211yesmaximal, characteristic
9C2×#16837744C211yesmaximal, characteristic
10C2×#16837744C211yesmaximal, characteristic
11C2×#16837733C211yesmaximal, characteristic
12C2×#16837710C211yesmaximal, characteristic, complemented
13C2×#16837710C211yesmaximal, characteristic, complemented
14C2×#16837698C211yesmaximal, characteristic, complemented
15C2×#16837688C211yesmaximal, characteristic, complemented
16C2×C59×#433C211yesmaximal, characteristic
17#16838030—24no—
18#16838030C2218yes—
19#16838014—24no—
20#16838014C2218yes—
21C2×#14273727C2211yescharacteristic
22C2×#14273727C2211yescharacteristic
23C2×#14273727C2211yescharacteristic
24C2×#14273726—21no—
25C2×#14273720—21no—
26C2×#14273720—21no—
27C2×#14273719C2211yescharacteristic
28C2×#14273719C2211yescharacteristic
29C2×#14273719C2211yescharacteristic
30C2×#14273718—21no—
31C2×#14273717—21no—
32C2×#14273717—21no—
33C2×#14273706C2211yescharacteristic
34C2×#14273706C2211yescharacteristic
35C2×#14273704—21no—
36C2×#14273704—21no—
37C2×C4×Dic118C2211yescharacteristic
38C2×C4×Dic118C2211yescharacteristic
39C2×#14273686C2211yescharacteristic
40C22×C4⋊Dic59C2211yescharacteristic
41#16837811C2218yescomplemented
42#16837804C2218yescomplemented
43#16837771C2218yescomplemented
44#16837753C2218yescomplemented
45#16837744C2218yes—
46#16837744C2218yes—
47#16837738C2218yes—
48#16837733C2218yes—
49#16837710C2218yescomplemented
50#16837710C2218yescomplemented
51#16837698C2218yescomplemented
52#16837688C2218yescomplemented
53C2×#14273661C2211yescharacteristic
54C2×#14273661C2211yescharacteristic
55C2×#14273661C2211yescharacteristic
56C2×#14273661C2211yescharacteristic
57C2×#14273659C2211yescharacteristic
58C2×#14273659C2211yescharacteristic
59C2×#14273659C2211yescharacteristic
60C2×#14273659C2211yescharacteristic
61C2×#14273652C2211yescharacteristic
62C2×#14273652C2211yescharacteristic
63C2×#14273652C2211yescharacteristic
64C2×#14273652C2211yescharacteristic
65C2×#14273652C2211yescharacteristic
66C2×#14273652C2211yescharacteristic
67C2×#14273652C2211yescharacteristic
68C2×#14273652C2211yescharacteristic
69C2×#117×C59C2211yescharacteristic
70C59×#433C2218yes—
71C2×C4⋊C8×C59C2211yescharacteristic
72C2×C4⋊C8×C59C2211yescharacteristic
73C2×C22⋊C8×C59C2211yescharacteristic
74C2×C22⋊C8×C59C2211yescharacteristic
75C2×#97×C59C2211yescharacteristic
76C2×C4×C8×C59C2211yescharacteristic
77C22×Dic118—21no—
78C22×Dic118—21no—
79C22×Dic118C2311yescharacteristic
80C22×Dic118C2311yescharacteristic
81C23×Dic59—21no—
82#14273727—22no—
83#14273727—22no—
84#14273727—22no—
85#14273727C2314yes—
86#14273727C2314yes—
87#14273727C2314yes—
88#14273726—28no—
89#14273720—28no—
90#14273720—28no—
91#14273719—22no—
92#14273719—22no—
93#14273719—22no—
94#14273719C2314yes—
95#14273719C2314yes—
96#14273719C2314yes—
97#14273718—28no—
98#14273717—28no—
99#14273717—28no—
100#14273706—22no—
101#14273706—22no—
102#14273706C2314yes—
103#14273706C2314yes—
104#14273704—28no—
105#14273704—28no—
106C4×Dic118—22no—
107C4×Dic118—22no—
108C4×Dic118C2314yes—
109C4×Dic118C2314yes—
110#14273686—22no—
111#14273686C2314yes—
112C2×C4⋊Dic59—21no—
113C2×C4⋊Dic59—21no—
114C2×C4⋊Dic59—21no—
115C2×C4⋊Dic59—21no—
116C2×C4⋊Dic59—21no—
117C2×C4⋊Dic59—22no—
118C2×C4⋊Dic59C2311yescharacteristic
119C2×C4⋊Dic59C2311yescharacteristic
120C2×C4⋊Dic59C2311yescharacteristic
121C2×C4⋊Dic59C2311yescharacteristic
122C2×C4⋊Dic59C2311yescharacteristic
123C2×C4⋊Dic59C2311yescharacteristic
124C2×C4⋊Dic59C2314yes—
125C2×Dic59⋊C4—21no—
126C2×Dic59⋊C4—21no—
127C2×Dic59⋊C4—21no—
128C2×Dic59⋊C4—21no—
129C2×Dic59⋊C4—21no—
130C2×Dic59⋊C4—21no—
131C2×Dic59⋊C4—21no—
132C2×Dic59⋊C4—21no—
133C2×Dic59⋊C4—21no—
134C2×Dic59⋊C4—21no—
135C2×C22⋊Dic59—21no—
136C2×C22⋊Dic59—21no—
137C2×C22⋊Dic59—21no—
138C2×C4×Dic59—21no—
139C2×C4×Dic59—21no—
140C2×C4×Dic59—21no—
141#14273661C2314yes—
142#14273661C2314yes—
143#14273661C2314yes—
144#14273661C2314yes—
145#14273659C2314yes—
146#14273659C2314yes—
147#14273659C2314yes—
148#14273659C2314yes—
149#14273652C2314yes—
150#14273652C2314yes—
151#14273652C2314yes—
152#14273652C2314yes—
153#14273652C2314yes—
154#14273652C2314yes—
155#14273652C2314yes—
156#14273652C2314yes—
157C23×C4×C59C2311yescharacteristic
158C22×C8×C59C2311yescharacteristic
159C22×C8×C59C2311yescharacteristic
160C22×C8×C59C2311yescharacteristic
161C22×C8×C59C2311yescharacteristic
162#117×C59D414yes—
163#117×C59C2314yes—
164C2×C4⋊C4×C59D411yescharacteristic
165C2×C4⋊C4×C59D411yescharacteristic
166C2×C22⋊C4×C59D411yescharacteristic
167C2×C22⋊C4×C59D411yescharacteristic
168C2×C42×C59C2311yescharacteristic
169C2×C42×C59C2311yescharacteristic
170C4⋊C8×C59C2314yes—
171C4⋊C8×C59C2314yes—
172C22⋊C8×C59C2314yes—
173C22⋊C8×C59C2314yes—
174#97×C59C2314yes—
175C4×C8×C59C2314yes—
176C24×C59C2×D411yescharacteristic
177C22×C4×C59—22no—
178C22×C4×C59—22no—
179C22×C4×C59C2×D411yescharacteristic
180C22×C4×C59C2×D411yescharacteristic
181C22×C4×C59C2×D411yescharacteristic
182C22×C4×C59C2×D411yescharacteristic
183C22×C4×C59C2×D411yescharacteristic
184C22×C4×C59C2×D412yes—
185C22×C4×C59C2412yes—
186C22×C4×C59C2411yescharacteristic
187C22×Dic59—21no—
188C22×Dic59—21no—
189C22×Dic59—21no—
190C22×Dic59—21no—
191C22×Dic59—21no—
192C22×Dic59—21no—
193C22×Dic59—21no—
194C22×Dic59—21no—
195C22×Dic59—24no—
196C22×Dic59—82no—
197C2×Dic118—22no—
198C2×Dic118—22no—
199C2×Dic118—22no—
200C2×Dic118—22no—
201C2×Dic118—21no—
202C2×Dic118—21no—
203C2×Dic118—24no—
204C2×Dic118—24no—
205C2×Dic118—82no—
206C2×Dic118—82no—
207C2×Dic118C2412yes—
208C2×Dic118C2412yes—
209C2×C8×C59—22no—
210C2×C8×C59—22no—
211C2×C8×C59—22no—
212C2×C8×C59—22no—
213C2×C8×C59C2412yes—
214C2×C8×C59C2412yes—
215C2×C8×C59C2412yes—
216C2×C8×C59C2412yes—
217C4⋊C4×C59C2×D414yes—
218C4⋊C4×C59C2×D414yes—
219C22⋊C4×C59C2×D414yes—
220C22⋊C4×C59C2×D414yes—
221C42×C59C2×D412yes—
222C42×C59C2×D412yes—
223C42×C59C2412yes—
224C42×C59C2412yes—
225C22⋊Dic59—24no—
226C22⋊Dic59—24no—
227C22⋊Dic59—24no—
228C4⋊Dic59—24no—
229C4⋊Dic59—21no—
230C4⋊Dic59—21no—
231C4⋊Dic59—24no—
232C4⋊Dic59—24no—
233C4⋊Dic59—24no—
234C4⋊Dic59—24no—
235C4⋊Dic59—21no—
236C4⋊Dic59—21no—
237C4⋊Dic59—21no—
238C4⋊Dic59—21no—
239C4⋊Dic59C2412yes—
240C4⋊Dic59C2412yes—
241C4⋊Dic59C2412yes—
242C4⋊Dic59C2412yes—
243C4⋊Dic59C2412yes—
244C4⋊Dic59C2412yes—
245Dic59⋊C4—24no—
246Dic59⋊C4—24no—
247Dic59⋊C4—24no—
248Dic59⋊C4—24no—
249Dic59⋊C4—24no—
250Dic59⋊C4—24no—
251Dic59⋊C4—24no—
252Dic59⋊C4—24no—
253Dic59⋊C4—24no—
254Dic59⋊C4—24no—
255C4×Dic59—24no—
256C4×Dic59—24no—
257C4×Dic59—24no—
258C23×C59—22no—
259C23×C59—22no—
260C23×C59—22no—
261C23×C59C22×D412yes—
262C23×C59C22×D411yescharacteristic
263C2×C4×C59—22no—
264C2×C4×C59—22no—
265C2×C4×C59—22no—
266C2×C4×C59—22no—
267C2×C4×C59—22no—
268C2×C4×C59—24no—
269C2×C4×C59—22no—
270C2×C4×C59—22no—
271C2×C4×C59C22×D412yes—
272C2×C4×C59C22×D412yes—
273C2×C4×C59C22×D412yes—
274C2×C4×C59C22×D412yes—
275C2×C4×C59C22×D412yes—
276C2×C4×C59C22×D411yescharacteristic
277C2×C4×C592−1+412yes—
278C2×C4×C592−1+412yes—
279C2×C4×C59C2511yescharacteristic
280C2×Dic59—22no—
281C2×Dic59—22no—
282C2×Dic59—22no—
283C2×Dic59—22no—
284C2×Dic59—22no—
285C2×Dic59—22no—
286C2×Dic59—22no—
287C2×Dic59—22no—
288C2×Dic59—42no—
289C2×Dic59—42no—
290C2×Dic59—42no—
291C2×Dic59—42no—
292C2×Dic59—42no—
293C2×Dic59—42no—
294C2×Dic59—42no—
295C2×Dic59—42no—
296C2×Dic59—84no—
297Dic118—22no—
298Dic118—22no—
299Dic118—22no—
300Dic118—22no—
301Dic118—42no—
302Dic118—42no—
303Dic118—84no—
304Dic118—84no—
305C8×C59—22no—
306C8×C59—22no—
307C8×C59—22no—
308C8×C59—22no—
309C2×#3242—591nomaximal, Sylow
310C22×C59—22no—
311C22×C59—22no—
312C22×C59—22no—
313C22×C59—44no—
314C22×C59#53612yes—
315C22×C59#57712yes—
316C22×C59#57812yes—
317C22×C59C23×D411yescharacteristic
318C4×C59—22no—
319C4×C59—22no—
320C4×C59—22no—
321C4×C59—22no—
322C4×C59—22no—
323C4×C59#53612yes—
324C4×C59C2×2−1+411yescharacteristic
325C4×C59C2×2−1+411yescharacteristic
326Dic59—42no—
327Dic59—42no—
328Dic59—42no—
329Dic59—42no—
330Dic59—42no—
331Dic59—42no—
332Dic59—42no—
333Dic59—42no—
334C2×#544—591no—
335C2×#541—591no—
336#3242—5916no—
337C2×#501—591no—
338C2×#499—591no—
339C2×#491—591no—
340C2×#487—591no—
341C2×#484—591no—
342C2×#485—591no—
343C2×#485—591no—
344C2×#483—591no—
345C2×#479—591no—
346C2×#479—591no—
347C2×#477—591no—
348C2×#475—591no—
349C2×#433D5911yescharacteristic
350C2×C59—42no—
351C2×C59#324214yescomplemented
352C2×C59C2×#53611yescharacteristic
353C2×C59C2×#57711yescharacteristic
354C2×C59C2×#57811yescharacteristic
355#544—598no—
356#544—1184no—
357#541—598no—
358#541—1184no—
359C2×C4⋊Q8—591no—
360C2×C4⋊Q8—591no—
361C2×C4⋊Q8—591no—
362C2×C4⋊Q8—1181no—
363C2×#126—1181no—
364C2×#126—1181no—
365C2×#125—591no—
366C2×#125—591no—
367C2×#125—591no—
368C2×#125—1181no—
369C2×#125—1181no—
370C2×#125—1181no—
371C2×C22⋊Q8—591no—
372C2×C22⋊Q8—591no—
373C2×C22⋊Q8—1181no—
374C2×C22⋊Q8—1181no—
375C2×C4×Q8—591no—
376C2×C4×Q8—591no—
377C2×#117—591no—
378C2×#117C2×D5911yescharacteristic
379C22×C4⋊C4—591no—
380#501—598no—
381#499—598no—
382#491—598no—
383#487—598no—
384#485—598no—
385#485—598no—
386#484—598no—
387#483—598no—
388#479—598no—
389#479—598no—
390#477—598no—
391#475—598no—
392#433C2×D5918yes—
393C2×#107—591no—
394C2×#107—591no—
395C2×#107—591no—
396C2×#107—591no—
397C2×#106—591no—
398C2×#106—591no—
399C2×#106—591no—
400C2×#106—591no—
401C2×C4⋊C8C2×D5911yescharacteristic
402C2×C4⋊C8C2×D5911yescharacteristic
403C2×#103—591no—
404C2×#103—591no—
405C2×#103—591no—
406C2×#103—591no—
407C2×#103—591no—
408C2×#103—591no—
409C2×#103—591no—
410C2×#103—591no—
411C2×C22⋊C8C2×D5911yescharacteristic
412C2×C22⋊C8C2×D5911yescharacteristic
413C2×#97C2×D5911yescharacteristic
414C2×C4×C8C2×D5911yescharacteristic
415C59C2×#324211yescharacteristic, complemented, Sylow
416C22×Q8—591no—
417C22×Q8—591no—
418C22×Q8—1181no—
419C22×Q8—1181no—
420C23×C4—1181no—
421C23×C4C22×D5911yescharacteristic
422C22×C8C22×D5911yescharacteristic
423C22×C8C22×D5911yescharacteristic
424C22×C8C22×D5911yescharacteristic
425C22×C8C22×D5911yescharacteristic
426C4⋊Q8—594no—
427C4⋊Q8—594no—
428C4⋊Q8—594no—
429C4⋊Q8—1188no—
430C4⋊Q8—1182no—
431C4⋊Q8—1182no—
432C4⋊Q8—1182no—
433#126—1188no—
434#126—1188no—
435#125—594no—
436#125—594no—
437#125—594no—
438#125—1188no—
439#125—1188no—
440#125—1188no—
441#125—1182no—
442#125—1182no—
443#125—1182no—
444C22⋊Q8—594no—
445C22⋊Q8—594no—
446C22⋊Q8—1182no—
447C22⋊Q8—1182no—
448C22⋊Q8—1188no—
449C22⋊Q8—1188no—
450C4×Q8—594no—
451C4×Q8—594no—
452C4×Q8—1182no—
453C4×Q8—1182no—
454#117—594no—
455#117—1182no—
456#117D23614yes—
457#117C22×D5914yes—
458C2×C4⋊C4—591no—
459C2×C4⋊C4—591no—
460C2×C4⋊C4—594no—
461C2×C4⋊C4—591no—
462C2×C4⋊C4—591no—
463C2×C4⋊C4—591no—
464C2×C4⋊C4—591no—
465C2×C4⋊C4—1181no—
466C2×C4⋊C4—1182no—
467C2×C4⋊C4—1181no—
468C2×C4⋊C4—1181no—
469C2×C4⋊C4—1181no—
470C2×C4⋊C4—1181no—
471C2×C4⋊C4—1181no—
472C2×C4⋊C4—1181no—
473C2×C4⋊C4—1181no—
474C2×C4⋊C4—1181no—
475C2×C4⋊C4—1181no—
476C2×C4⋊C4—1181no—
477C2×C4⋊C4—1181no—
478C2×C4⋊C4—1181no—
479C2×C4⋊C4—1181no—
480C2×C4⋊C4—1181no—
481C2×C4⋊C4D23611yescharacteristic
482C2×C4⋊C4D23611yescharacteristic
483C2×C22⋊C4—1181no—
484C2×C22⋊C4—1181no—
485C2×C22⋊C4—1181no—
486C2×C22⋊C4D23611yescharacteristic
487C2×C22⋊C4D23611yescharacteristic
488C2×C42—1181no—
489C2×C42—1181no—
490C2×C42—1181no—
491C2×C42C22×D5911yescharacteristic
492C2×C42C22×D5911yescharacteristic
493#107—594no—
494#107—594no—
495#107—594no—
496#107—594no—
497#106—594no—
498#106—594no—
499#106—594no—
500#106—594no—
501C4⋊C8C22×D5914yes—
502C4⋊C8C22×D5914yes—
503#103—594no—
504#103—594no—
505#103—594no—
506#103—594no—
507#103—594no—
508#103—594no—
509#103—594no—
510#103—594no—
511C22⋊C8C22×D5914yes—
512C22⋊C8C22×D5914yes—
513#97C22×D5914yes—
514C4×C8C22×D5914yes—
515C24C2×D23611yescharacteristic
516C2×Q8—592no—
517C2×Q8—592no—
518C2×Q8—1184no—
519C2×Q8—1184no—
520C2×Q8—1181no—
521C2×Q8—1181no—
522C2×Q8—1182no—
523C2×Q8—1182no—
524C2×Q8—1182no—
525C2×Q8—1182no—
526C2×Q8—4722no—
527C2×Q8—4722no—
528C22×C4—22no—
529C22×C4—22no—
530C22×C4—1184no—
531C22×C4—1181no—
532C22×C4—1181no—
533C22×C4—1181no—
534C22×C4—1181no—
535C22×C4—1181no—
536C22×C4—1181no—
537C22×C4—1181no—
538C22×C4—1181no—
539C22×C4—4722no—
540C22×C4C2×D23612yes—
541C22×C4C2×D23611yescharacteristic
542C22×C4C2×D23611yescharacteristic
543C22×C4C2×D23611yescharacteristic
544C22×C4C2×D23611yescharacteristic
545C22×C4C2×D23611yescharacteristic
546C22×C4C23×D5912yes—
547C22×C4C23×D5911yescharacteristic
548C2×C8—22no—
549C2×C8—22no—
550C2×C8—22no—
551C2×C8—22no—
552C2×C8C23×D5912yes—
553C2×C8C23×D5912yes—
554C2×C8C23×D5912yes—
555C2×C8C23×D5912yes—
556C4⋊C4—592no—
557C4⋊C4—592no—
558C4⋊C4—592no—
559C4⋊C4—592no—
560C4⋊C4—592no—
561C4⋊C4—592no—
562C4⋊C4—1184no—
563C4⋊C4—1181no—
564C4⋊C4—1181no—
565C4⋊C4—1181no—
566C4⋊C4—1181no—
567C4⋊C4—1181no—
568C4⋊C4—1181no—
569C4⋊C4—1184no—
570C4⋊C4—1184no—
571C4⋊C4—1184no—
572C4⋊C4—1184no—
573C4⋊C4—1184no—
574C4⋊C4—1184no—
575C4⋊C4—1184no—
576C4⋊C4—1184no—
577C4⋊C4—1184no—
578C4⋊C4—1184no—
579C4⋊C4—1184no—
580C4⋊C4—1184no—
581C4⋊C4—1184no—
582C4⋊C4—1184no—
583C4⋊C4C2×D23614yes—
584C4⋊C4C2×D23614yes—
585C22⋊C4—1184no—
586C22⋊C4—1184no—
587C22⋊C4—1184no—
588C22⋊C4C2×D23614yes—
589C22⋊C4C2×D23614yes—
590C42—1184no—
591C42—1184no—
592C42—1184no—
593C42C2×D23612yes—
594C42C2×D23612yes—
595C42C23×D5912yes—
596C42C23×D5912yes—
597C23—22no—
598C23—22no—
599C23—22no—
600C23C22×D23612yes—
601C23C22×D23611yescharacteristic
602Q8—1182no—
603Q8—1182no—
604Q8—1182no—
605Q8—1182no—
606Q8—4724no—
607Q8—4724no—
608Q8—2362no—
609Q8—2362no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—24no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—1182no—
619C2×C4—1182no—
620C2×C4—1182no—
621C2×C4—1182no—
622C2×C4—1182no—
623C2×C4—1182no—
624C2×C4—1182no—
625C2×C4—1182no—
626C2×C4—4724no—
627C2×C4—2362no—
628C2×C4—2362no—
629C2×C4—2362no—
630C2×C4—2362no—
631C2×C4—2362no—
632C2×C4—2362no—
633C2×C4—2362no—
634C2×C4—2362no—
635C2×C4C22×D23612yes—
636C2×C4C22×D23612yes—
637C2×C4C22×D23612yes—
638C2×C4C22×D23612yes—
639C2×C4C22×D23612yes—
640C2×C4C22×D23611yescharacteristic
641C2×C4#1427377412yes—
642C2×C4#1427377412yes—
643C2×C4C24×D5911yescharacteristic
644C8—22no—
645C8—22no—
646C8—22no—
647C8—22no—
648C22—22no—
649C22—22no—
650C22—22no—
651C22—44no—
652C22#1683797812yes—
653C22#1683821412yes—
654C22#1683821912yes—
655C22C23×D23611yescharacteristic
656C4—22no—
657C4—22no—
658C4—22no—
659C4—22no—
660C4—22no—
661C4—2362no—
662C4—2362no—
663C4—2362no—
664C4—2362no—
665C4—2362no—
666C4—2362no—
667C4—2362no—
668C4—2362no—
669C4#1683797812yes—
670C4C2×#1427377411yescharacteristic
671C4C2×#1427377411yescharacteristic
672C2—42no—
673C2#2143536614yesdirect product factor
674C2C2×#1683797811yescharacteristic
675C2C2×#1683821411yescharacteristic
676C2C2×#1683821911yescharacteristic
subgroupG/H
centerC23C22×D236
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC2×C59×#433C2
socleC23×C59C22×D4
prime radicalC24×C59C2×D4
hypercenterC2×#433D59
hypocenterC59C2×#3242
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C23 ◁ C2×#117 ◁ C2×#433

Complements

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

NH ≅ G/Ntype
3. #21435366C2direct (N × H)
4. C2×#16837811C2semidirect
5. C2×#16837804C2semidirect
6. C2×#16837771C2semidirect
7. C2×#16837753C2semidirect
12. C2×#16837710C2semidirect
13. C2×#16837710C2semidirect
14. C2×#16837698C2semidirect
15. C2×#16837688C2semidirect
41. #16837811C22semidirect
42. #16837804C22semidirect
43. #16837771C22semidirect
44. #16837753C22semidirect
49. #16837710C22semidirect
50. #16837710C22semidirect
51. #16837698C22semidirect
52. #16837688C22semidirect
351. C2×C59#3242semidirect
415. C59C2×#3242semidirect
673. C2#21435366direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#168380302
C2×#168380142
#214353662
C2×#168378112
C2×#168378042
C2×#168377712
C2×#168377532
C2×#168377382
C2×#168377442
C2×#168377332
C2×#168377102
C2×#168376982
C2×#168376882
C2×C59×#4332
C2×#324259