Finite Group Databasebeta

← C2×#21435254 #29460756

Subgroups — C2×#21435254 #29460756

Order 15104.

1778 conjugacy classes of subgroups.

The subgroup lattice has 686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837958C211yesmaximal, characteristic
2C2×#16837956C211yesmaximal, characteristic
3#21435254C2116yesmaximal, direct product factor
4C2×#16837806C211yesmaximal, characteristic, complemented
5C2×#16837799C211yesmaximal, characteristic, complemented
6C2×#16837751C211yesmaximal, characteristic, complemented
7C2×#16837751C211yesmaximal, characteristic, complemented
8C2×#16837746C211yesmaximal, characteristic
9C2×#16837745C211yesmaximal, characteristic
10C2×#16837742C211yesmaximal, characteristic
11C2×#16837741C211yesmaximal, characteristic
12C2×#16837710C211yesmaximal, characteristic, complemented
13C2×#16837709C211yesmaximal, characteristic, complemented
14C2×#16837706C211yesmaximal, characteristic, complemented
15C2×#16837454C211yesmaximal, characteristic
16C2×C59×#479C211yesmaximal, characteristic, complemented
17#16837958—24no—
18#16837958C2218yes—
19#16837956—24no—
20#16837956C2218yes—
21C2×#14273726C2211yescharacteristic
22C2×#14273726C2211yescharacteristic
23C2×#14273726C2211yescharacteristic
24C2×#14273725C2211yescharacteristic
25C2×#14273719C2211yescharacteristic
26C2×#14273717—21no—
27C2×#14273707C2211yescharacteristic
28C2×#14273705—21no—
29C2×#14273705—21no—
30C2×#14273705—21no—
31C2×#14273703C2211yescharacteristic
32C2×C4×Dic118—21no—
33C2×C4×Dic118C2211yescharacteristic
34C2×#14273692—21no—
35C2×#14273692—21no—
36C2×#14273685C2211yescharacteristic
37C2×#14273685C2211yescharacteristic
38C2×#14273684—21no—
39C2×C42×D59C2211yescharacteristic
40#16837806C2218yescomplemented
41#16837799C2218yescomplemented
42#16837751C2218yescomplemented
43#16837751C2218yescomplemented
44#16837746C2218yes—
45#16837745C2218yes—
46#16837742C2218yes—
47#16837741C2218yes—
48#16837710C2218yescomplemented
49#16837709C2218yescomplemented
50#16837706C2218yescomplemented
51#16837454C2218yes—
52C2×#14273661C2211yescharacteristic
53C2×#14273660C2211yescharacteristic
54C2×#14273660C2211yescharacteristic
55C2×#14273659C2211yescharacteristic
56C2×#14273658C2211yescharacteristic
57C2×#14273658C2211yescharacteristic
58C2×C4⋊(C59⋊C8)C2211yescharacteristic
59C2×#14273652C2211yescharacteristic
60C2×#14273652C2211yescharacteristic
61C2×#14273651C2211yescharacteristic
62C2×#14273651C2211yescharacteristic
63C2×#14273650C2211yescharacteristic
64C2×#14273650C2211yescharacteristic
65C2×(C2×D59)⋊C8C2211yescharacteristic
66C2×(C2×D59)⋊C8C2211yescharacteristic
67C2×C8×Dic59C2211yescharacteristic
68C2×C8×Dic59C2211yescharacteristic
69C2×#125×C59C2211yescharacteristic
70C2×C4×Q8×C59C2211yescharacteristic
71C59×#479C2218yescomplemented
72C2×#107×C59C2211yescharacteristic
73C2×#106×C59C2211yescharacteristic
74C2×C4⋊C8×C59C2211yescharacteristic
75C2×#103×C59C2211yescharacteristic
76C2×#103×C59C2211yescharacteristic
77C22×Dic118—21no—
78C22×Dic118—21no—
79C22×Dic118—21no—
80C22×Dic118C2311yescharacteristic
81C22×C4×D59D411yescharacteristic
82C22×C4×D59D411yescharacteristic
83C22×C4×D59C2311yescharacteristic
84C22×C59⋊C8C2311yescharacteristic
85C22×C59⋊C8C2311yescharacteristic
86#14273726—22no—
87#14273726—22no—
88#14273726—22no—
89#14273726C2314yes—
90#14273726C2314yes—
91#14273726C2314yes—
92#14273725—22no—
93#14273725C2314yes—
94#14273719—22no—
95#14273719C2314yes—
96#14273717—28no—
97#14273707—22no—
98#14273707C2314yes—
99#14273705—28no—
100#14273705—28no—
101#14273705—28no—
102#14273703—22no—
103#14273703C2314yes—
104C4×Dic118—22no—
105C4×Dic118—28no—
106C4×Dic118C2314yes—
107#14273692—28no—
108#14273692—28no—
109#14273685—22no—
110#14273685—22no—
111#14273685C2314yes—
112#14273685C2314yes—
113#14273684—28no—
114C2×C4⋊Dic59—21no—
115C2×C4⋊Dic59C2311yescharacteristic
116C2×C4⋊Dic59C2311yescharacteristic
117C2×C4⋊Dic59C2311yescharacteristic
118C2×Dic59⋊C4—21no—
119C2×Dic59⋊C4—21no—
120C2×Dic59⋊C4—21no—
121C2×Dic59⋊C4—21no—
122C2×Dic59⋊C4—21no—
123C2×Dic59⋊C4—21no—
124C2×Dic59⋊C4—21no—
125C2×Dic59⋊C4—21no—
126C2×Dic59⋊C4—21no—
127C2×(C2×D59)⋊C4—21no—
128C2×(C2×D59)⋊C4—21no—
129C2×(C2×D59)⋊C4—21no—
130C2×(C2×D59)⋊C4—21no—
131C2×C4×Dic59—21no—
132C2×C4×Dic59—21no—
133C2×C4×Dic59—21no—
134C2×C4×Dic59D411yescharacteristic
135C2×C4×Dic59D411yescharacteristic
136C2×C4×Dic59C2311yescharacteristic
137C42×D59D414yes—
138C42×D59C2314yes—
139#14273661C2314yes—
140#14273660C2314yes—
141#14273660C2314yes—
142#14273659C2314yes—
143#14273658C2314yes—
144#14273658C2314yes—
145C4⋊(C59⋊C8)C2314yes—
146#14273652C2314yes—
147#14273652C2314yes—
148#14273651C2314yes—
149#14273651C2314yes—
150#14273650C2314yes—
151#14273650C2314yes—
152(C2×D59)⋊C8C2314yes—
153(C2×D59)⋊C8C2314yes—
154C8×Dic59C2314yes—
155C8×Dic59C2314yes—
156C22×Q8×C59C2311yescharacteristic
157C22×C8×C59C2311yescharacteristic
158C22×C8×C59C2311yescharacteristic
159#125×C59—22no—
160#125×C59C2314yes—
161C4×Q8×C59—22no—
162C4×Q8×C59C2314yes—
163C2×C4⋊C4×C59—21no—
164C2×C4⋊C4×C59—21no—
165C2×C4⋊C4×C59—21no—
166C2×C4⋊C4×C59C2311yescharacteristic
167C2×C4⋊C4×C59C2311yescharacteristic
168C2×C4⋊C4×C59C2311yescharacteristic
169C2×C42×C59—21no—
170C2×C42×C59C2311yescharacteristic
171#107×C59C2314yes—
172#106×C59C2314yes—
173C4⋊C8×C59C2314yes—
174#103×C59C2314yes—
175#103×C59C2314yes—
176C23×D59C2×D411yescharacteristic
177C2×Q8×C59—21no—
178C2×Q8×C59—22no—
179C2×Q8×C59—22no—
180C2×Q8×C59C2412yes—
181C22×C4×C59—21no—
182C22×C4×C59—21no—
183C22×C4×C59—21no—
184C22×C4×C59—21no—
185C22×C4×C59C2×D411yescharacteristic
186C22×C4×C59C2×D411yescharacteristic
187C22×C4×C59C2411yescharacteristic
188C22×Dic59—21no—
189C22×Dic59—21no—
190C22×Dic59—21no—
191C22×Dic59—21no—
192C22×Dic59C2×D411yescharacteristic
193C22×Dic59C2×D411yescharacteristic
194C22×Dic59C2×D411yescharacteristic
195C2×C4×D59—22no—
196C2×C4×D59—22no—
197C2×C4×D59—24no—
198C2×C4×D59—24no—
199C2×C4×D59C2×D412yes—
200C2×C4×D59C2×D414yes—
201C2×C4×D59C2×D414yes—
202C2×C4×D59C2412yes—
203C2×Dic118—22no—
204C2×Dic118—22no—
205C2×Dic118—21no—
206C2×Dic118—24no—
207C2×Dic118—24no—
208C2×Dic118—24no—
209C2×Dic118—44no—
210C2×Dic118—44no—
211C2×Dic118—44no—
212C2×Dic118C2412yes—
213C2×C8×C59—22no—
214C2×C8×C59—22no—
215C2×C8×C59C2412yes—
216C2×C8×C59C2412yes—
217C4⋊C4×C59—24no—
218C4⋊C4×C59—24no—
219C4⋊C4×C59—24no—
220C4⋊C4×C59—21no—
221C4⋊C4×C59—21no—
222C4⋊C4×C59—21no—
223C4⋊C4×C59C2412yes—
224C4⋊C4×C59C2412yes—
225C4⋊C4×C59C2412yes—
226C42×C59—24no—
227C42×C59C2×D412yes—
228C42×C59C2412yes—
229(C2×D59)⋊C4—24no—
230(C2×D59)⋊C4—24no—
231(C2×D59)⋊C4—24no—
232(C2×D59)⋊C4—24no—
233C4⋊Dic59—21no—
234C4⋊Dic59—21no—
235C4⋊Dic59—21no—
236C4⋊Dic59—24no—
237C4⋊Dic59C2412yes—
238C4⋊Dic59C2412yes—
239C4⋊Dic59C2412yes—
240Dic59⋊C4—24no—
241Dic59⋊C4—24no—
242Dic59⋊C4—24no—
243Dic59⋊C4—24no—
244Dic59⋊C4—24no—
245Dic59⋊C4—24no—
246Dic59⋊C4—24no—
247Dic59⋊C4—24no—
248Dic59⋊C4—24no—
249C4×Dic59—24no—
250C4×Dic59—24no—
251C4×Dic59—24no—
252C4×Dic59C2×D412yes—
253C4×Dic59C2×D414yes—
254C4×Dic59C2×D414yes—
255C4×Dic59C2412yes—
256C2×C59⋊C8—22no—
257C2×C59⋊C8—22no—
258C2×C59⋊C8C2412yes—
259C2×C59⋊C8C2412yes—
260C23×C59C22×D411yescharacteristic
261C22×D59—22no—
262C22×D59—22no—
263C22×D59—22no—
264C22×D59C22×D412yes—
265Q8×C59—22no—
266Q8×C59—22no—
267Q8×C59—42no—
268C2×C4×C59—22no—
269C2×C4×C59—22no—
270C2×C4×C59—22no—
271C2×C4×C59—22no—
272C2×C4×C59—22no—
273C2×C4×C59—22no—
274C2×C4×C59—42no—
275C2×C4×C59—42no—
276C2×C4×C59—42no—
277C2×C4×C59—42no—
278C2×C4×C59C22×D412yes—
279C2×C4×C59C22×D412yes—
280C2×C4×C59C22×D411yescharacteristic
281C2×C4×C592−1+412yes—
282C2×C4×C592−1+412yes—
283C2×C4×C59C2511yescharacteristic
284C2×Dic59—22no—
285C2×Dic59—22no—
286C2×Dic59—22no—
287C2×Dic59—22no—
288C2×Dic59—22no—
289C2×Dic59—42no—
290C2×Dic59—42no—
291C2×Dic59—42no—
292C2×Dic59—42no—
293C2×Dic59#13514yes—
294C2×Dic59#13714yes—
295C2×Dic59C22×D412yes—
296C2×Dic59C22×D412yes—
297C2×Dic59C22×D412yes—
298C4×D59—24no—
299C4×D59—22no—
300C4×D59—22no—
301C4×D59—28no—
302C4×D59—28no—
303Dic118—22no—
304Dic118—22no—
305Dic118—42no—
306Dic118—48no—
307Dic118—48no—
308Dic118—48no—
309C8×C59—22no—
310C8×C59—22no—
311C59⋊C8—22no—
312C59⋊C8—22no—
313C2×#3231—591nomaximal, Sylow
314C22×C59#53612yes—
315C22×C59C2×#13512yes—
316C22×C59C2×#13712yes—
317C22×C59C23×D411yescharacteristic
318C2×D59—22no—
319C2×D59—22no—
320C2×D59—22no—
321C2×D59—44no—
322C4×C59—22no—
323C4×C59—22no—
324C4×C59—42no—
325C4×C59—42no—
326C4×C59—42no—
327C4×C59—42no—
328C4×C59#53612yes—
329C4×C59C2×2−1+411yescharacteristic
330C4×C59C2×2−1+411yescharacteristic
331Dic59—22no—
332Dic59—42no—
333Dic59—42no—
334Dic59—42no—
335Dic59—42no—
336Dic59C2×#13514yes—
337Dic59C2×#13714yes—
338C2×#533—591no—
339C2×#533—591no—
340#3231—5916no—
341C2×#500—591no—
342C2×#498—591no—
343C2×#487—591no—
344C2×#487—591no—
345C2×#485—591no—
346C2×#485—591no—
347C2×#485—591no—
348C2×#485—591no—
349C2×#479—591no—
350C2×#479—591no—
351C2×#479—591no—
352C2×#479D5911yescharacteristic, complemented
353C2×#431—591no—
354C2×C59#323114yescomplemented
355C2×C59C2×#53611yescharacteristic
356C2×C59C22×#13511yescharacteristic
357C2×C59C22×#13711yescharacteristic
358D59—42no—
359#533—598no—
360#533—598no—
361#533—1184no—
362#533—1184no—
363C2×C4⋊Q8—591no—
364C2×C4⋊Q8—591no—
365C2×C4⋊Q8—591no—
366C2×C4⋊Q8—591no—
367C2×#125—591no—
368C2×#125—1181no—
369C2×#125C2×D5911yescharacteristic
370C2×C22⋊Q8—591no—
371C2×C22⋊Q8—591no—
372C2×C22⋊Q8—1181no—
373C2×C22⋊Q8—1181no—
374C2×C22⋊Q8—1181no—
375C2×C4×Q8—591no—
376C2×C4×Q8—1181no—
377C2×C4×Q8—1181no—
378C2×C4×Q8—1181no—
379C2×C4×Q8C2×D5911yescharacteristic
380C2×#117—591no—
381C2×#117—591no—
382C2×#117—1181no—
383C22×C42—591no—
384#500—598no—
385#498—598no—
386#487—598no—
387#487—598no—
388#485—598no—
389#485—598no—
390#485—598no—
391#485—598no—
392#479—598no—
393#479—598no—
394#479—598no—
395#479C2×D5918yescomplemented
396#431—598no—
397C2×#107—591no—
398C2×#107—591no—
399C2×#107—591no—
400C2×#107C2×D5911yescharacteristic
401C2×#106—591no—
402C2×#106—591no—
403C2×#106—591no—
404C2×#106C2×D5911yescharacteristic
405C2×C4⋊C8—591no—
406C2×C4⋊C8C2×D5911yescharacteristic
407C2×#103—591no—
408C2×#103—591no—
409C2×#103—591no—
410C2×#103—591no—
411C2×#103—591no—
412C2×#103—591no—
413C2×#103C2×D5911yescharacteristic
414C2×#103C2×D5911yescharacteristic
415C2×C22⋊C8—591no—
416C2×C22⋊C8—591no—
417C2×C4×C8—591no—
418C2×C4×C8—591no—
419C59C2×#323111yescharacteristic, complemented, Sylow
420C22×Q8—591no—
421C22×Q8—1181no—
422C22×Q8—1181no—
423C22×Q8—1181no—
424C22×Q8C22×D5911yescharacteristic
425C23×C4—591no—
426C23×C4—591no—
427C23×C4—591no—
428C22×C8—591no—
429C22×C8—591no—
430C22×C8C22×D5911yescharacteristic
431C22×C8C22×D5911yescharacteristic
432C4⋊Q8—594no—
433C4⋊Q8—594no—
434C4⋊Q8—594no—
435C4⋊Q8—594no—
436C4⋊Q8—1182no—
437C4⋊Q8—1182no—
438C4⋊Q8—1182no—
439C4⋊Q8—1182no—
440#125—22no—
441#125—594no—
442#125—1188no—
443#125—1182no—
444#125C22×D5914yes—
445C22⋊Q8—594no—
446C22⋊Q8—594no—
447C22⋊Q8—1182no—
448C22⋊Q8—1188no—
449C22⋊Q8—1188no—
450C22⋊Q8—1188no—
451C22⋊Q8—1182no—
452C4×Q8—22no—
453C4×Q8—594no—
454C4×Q8—1188no—
455C4×Q8—1188no—
456C4×Q8—1188no—
457C4×Q8—1182no—
458C4×Q8C22×D5914yes—
459#117—594no—
460#117—594no—
461#117—1188no—
462#117—1182no—
463#117—1182no—
464C2×C4⋊C4—21no—
465C2×C4⋊C4—21no—
466C2×C4⋊C4—21no—
467C2×C4⋊C4—591no—
468C2×C4⋊C4—591no—
469C2×C4⋊C4—591no—
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⋊C4C22×D5911yescharacteristic
481C2×C4⋊C4C22×D5911yescharacteristic
482C2×C4⋊C4C22×D5911yescharacteristic
483C2×C22⋊C4—1181no—
484C2×C22⋊C4—1181no—
485C2×C22⋊C4—1181no—
486C2×C22⋊C4—1181no—
487C2×C42—21no—
488C2×C42—591no—
489C2×C42—591no—
490C2×C42—591no—
491C2×C42—594no—
492C2×C42—594no—
493C2×C42—1181no—
494C2×C42—1181no—
495C2×C42—1181no—
496C2×C42C22×D5911yescharacteristic
497#107—594no—
498#107—594no—
499#107—594no—
500#107C22×D5914yes—
501#106—594no—
502#106—594no—
503#106—594no—
504#106C22×D5914yes—
505C4⋊C8—594no—
506C4⋊C8C22×D5914yes—
507#103—594no—
508#103—594no—
509#103—594no—
510#103—594no—
511#103—594no—
512#103—594no—
513#103C22×D5914yes—
514#103C22×D5914yes—
515C22⋊C8—594no—
516C22⋊C8—594no—
517C4×C8—594no—
518C4×C8—594no—
519C24—591no—
520C2×Q8—21no—
521C2×Q8—22no—
522C2×Q8—22no—
523C2×Q8—592no—
524C2×Q8—1184no—
525C2×Q8—1184no—
526C2×Q8—1184no—
527C2×Q8—1181no—
528C2×Q8—1182no—
529C2×Q8—1182no—
530C2×Q8—2364no—
531C2×Q8—2364no—
532C2×Q8—2364no—
533C2×Q8C23×D5912yes—
534C22×C4—21no—
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—21no—
538C22×C4—591no—
539C22×C4—591no—
540C22×C4—591no—
541C22×C4—594no—
542C22×C4—592no—
543C22×C4—594no—
544C22×C4—592no—
545C22×C4—1184no—
546C22×C4—1184no—
547C22×C4—1182no—
548C22×C4—1182no—
549C22×C4—1181no—
550C22×C4—1181no—
551C22×C4—1181no—
552C22×C4—1181no—
553C22×C4D4×D5911yescharacteristic
554C22×C4D4×D5911yescharacteristic
555C22×C4C23×D5911yescharacteristic
556C2×C8—22no—
557C2×C8—22no—
558C2×C8—592no—
559C2×C8—592no—
560C2×C8—1182no—
561C2×C8—1182no—
562C2×C8C23×D5912yes—
563C2×C8C23×D5912yes—
564C4⋊C4—24no—
565C4⋊C4—24no—
566C4⋊C4—24no—
567C4⋊C4—21no—
568C4⋊C4—21no—
569C4⋊C4—21no—
570C4⋊C4—592no—
571C4⋊C4—592no—
572C4⋊C4—592no—
573C4⋊C4—1184no—
574C4⋊C4—1184no—
575C4⋊C4—1184no—
576C4⋊C4—1184no—
577C4⋊C4—1184no—
578C4⋊C4—1184no—
579C4⋊C4—1184no—
580C4⋊C4—1181no—
581C4⋊C4—1181no—
582C4⋊C4—1181no—
583C4⋊C4—1184no—
584C4⋊C4—1184no—
585C4⋊C4—1184no—
586C4⋊C4C23×D5912yes—
587C4⋊C4C23×D5912yes—
588C4⋊C4C23×D5912yes—
589C22⋊C4—1184no—
590C22⋊C4—1184no—
591C22⋊C4—1184no—
592C22⋊C4—1184no—
593C42—24no—
594C42—594no—
595C42—594no—
596C42—592no—
597C42—592no—
598C42—1184no—
599C42—1184no—
600C42—1184no—
601C42D4×D5912yes—
602C42C23×D5912yes—
603C23—592no—
604C23—1182no—
605C23—1182no—
606C23—1182no—
607C23C2×D4×D5911yescharacteristic
608Q8—22no—
609Q8—22no—
610Q8—42no—
611Q8—1182no—
612Q8—1182no—
613Q8—2368no—
614Q8—2368no—
615Q8—2368no—
616Q8—2362no—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—42no—
624C2×C4—42no—
625C2×C4—42no—
626C2×C4—42no—
627C2×C4—594no—
628C2×C4—594no—
629C2×C4—592no—
630C2×C4—592no—
631C2×C4—592no—
632C2×C4—1188no—
633C2×C4—1188no—
634C2×C4—1182no—
635C2×C4—1184no—
636C2×C4—1182no—
637C2×C4—1182no—
638C2×C4—1182no—
639C2×C4—1182no—
640C2×C4—1182no—
641C2×C4—1182no—
642C2×C4—2362no—
643C2×C4—2362no—
644C2×C4—2362no—
645C2×C4—2362no—
646C2×C4C2×D4×D5912yes—
647C2×C4C2×D4×D5912yes—
648C2×C4C2×D4×D5911yescharacteristic
649C2×C4#1427377412yes—
650C2×C4#1427377512yes—
651C2×C4C24×D5911yescharacteristic
652C8—22no—
653C8—22no—
654C8—1182no—
655C8—1182no—
656C22—1182no—
657C22—1182no—
658C22—1182no—
659C22—2364no—
660C22#1683797512yes—
661C22#135×D5912yes—
662C22#137×D5912yes—
663C22C22×D4×D5911yescharacteristic
664C4—22no—
665C4—22no—
666C4—42no—
667C4—42no—
668C4—42no—
669C4—42no—
670C4—594no—
671C4—594no—
672C4—1182no—
673C4—2362no—
674C4—2362no—
675C4—2362no—
676C4—2362no—
677C4#1683797512yes—
678C4C2×#1427377411yescharacteristic
679C4C2×#1427377511yescharacteristic
680C2—2362no—
681C2#2143525414yesdirect product factor
682C2C2×#1683797511yescharacteristic
683C2C2×#135×D5911yescharacteristic
684C2C2×#137×D5911yescharacteristic
subgroupG/H
centerC23C2×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC2×C59×#479C2
socleC23×C59C22×D4
prime radicalC23×D59C2×D4
hypercenterC2×#479D59
hypocenterC59C2×#3231
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#479

Complements

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

NH ≅ G/Ntype
3. #21435254C2direct (N × H)
4. C2×#16837806C2semidirect
5. C2×#16837799C2semidirect
6. C2×#16837751C2semidirect
7. C2×#16837751C2semidirect
12. C2×#16837710C2semidirect
13. C2×#16837709C2semidirect
14. C2×#16837706C2semidirect
16. C2×C59×#479C2semidirect
40. #16837806C22semidirect
41. #16837799C22semidirect
42. #16837751C22semidirect
43. #16837751C22semidirect
48. #16837710C22semidirect
49. #16837709C22semidirect
50. #16837706C22semidirect
71. C59×#479C22semidirect
352. C2×#479D59semidirect
354. C2×C59#3231semidirect
395. #479C2×D59semidirect
419. C59C2×#3231semidirect
681. C2#21435254direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#168379582
C2×#168379562
#214352542
C2×#168378062
C2×#168377992
C2×#168377512
C2×#168377462
C2×#168377452
C2×#168377422
C2×#168377412
C2×#168377102
C2×#168377092
C2×#168377062
C2×#168374542
C2×C59×#4792
C2×#323159