Finite Group Databasebeta

← C2×#21434022 #29456470

Subgroups — C2×#21434022 #29456470

Order 15104.

2650 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×#16837914C211yesmaximal, characteristic
2C22×C4⋊C4×D59C211yesmaximal, characteristic, complemented
3#21434022C2116yesmaximal, direct product factor
4C2×#16837739C212yesmaximal, complemented
5C2×#16837722C212yesmaximal, complemented
6C2×#16837734C212yesmaximal, complemented
7C2×#16837717C212yesmaximal, complemented
8C2×#16837445C211yesmaximal, characteristic, complemented
9C2×#16837404C211yesmaximal, characteristic, complemented
10C2×#16837401C211yesmaximal, characteristic, complemented
11C2×#16837365C211yesmaximal, characteristic, complemented
12C2×C59×#428C211yesmaximal, characteristic, complemented
13C22×#11745685C2211yescharacteristic
14C23×C4×D59—21no—
15C23×C4×D59C2211yescharacteristic
16C22×#11745664C2211yescharacteristic
17#16837914—24no—
18#16837914C2218yes—
19C2×#14273711—21no—
20C2×#14273707C2211yescharacteristic
21C2×#14273707C2211yescharacteristic
22C2×#14273702C2211yescharacteristic
23C2×#14273702C2211yescharacteristic
24C2×#14273697—21no—
25C2×C4×D236—21no—
26C2×C4×D236—21no—
27C22×C4⋊Dic59C2211yescharacteristic
28C22×Dic59⋊C4—21no—
29C2×C4⋊C4×D59—24no—
30C2×C4⋊C4×D59—21no—
31C2×C4⋊C4×D59—21no—
32C2×C4⋊C4×D59C2212yes—
33C2×C4⋊C4×D59C2212yes—
34C2×C4⋊C4×D59C2218yescomplemented
35#16837739C22116yescomplemented
36#16837734C22116yescomplemented
37#16837722C22116yescomplemented
38#16837717C22116yescomplemented
39#16837445C2218yescomplemented
40C2×#14273660C2212yescomplemented
41C2×#14273658C2212yescomplemented
42#16837404C2218yescomplemented
43#16837401C2218yescomplemented
44C2×#14273652C2212yescomplemented
45C2×#14273650C2212yescomplemented
46C2×#14273649C2212yescomplemented
47C2×#14273647C2212yescomplemented
48#16837365C2218yescomplemented
49C2×(C2×D59)⋊C8C2212yes—
50C2×(C2×D59)⋊C8C2212yes—
51C22×M16×C59C2211yescharacteristic
52C2×#117×C59C2211yescharacteristic
53C22×C4⋊C4×C59C2211yescharacteristic
54C59×#428C2218yescomplemented
55C2×#107×C59C2212yescomplemented
56C2×#106×C59C2212yescomplemented
57C24×D59D411yescharacteristic
58C2×#11745685—22no—
59C2×#11745685—24no—
60C2×#11745685—24no—
61C2×#11745685C2314yes—
62C22×Dic118C2311yescharacteristic
63C22×D236—21no—
64C22×D236—21no—
65C22×D236C2311yescharacteristic
66C22×C22⋊D59—21no—
67C23×Dic59—21no—
68C23×Dic59D411yescharacteristic
69C22×C4×D59—24no—
70C22×C4×D59—24no—
71C22×C4×D59—22no—
72C22×C4×D59—22no—
73C22×C4×D59—28no—
74C22×C4×D59—21no—
75C22×C4×D59—48no—
76C22×C4×D59D414yes—
77C22×C4×D59D411yescharacteristic
78C22×C4×D59D411yescharacteristic
79C22×C4×D59C2311yescharacteristic
80C22×C4×D59C2311yescharacteristic
81C22×C4×D59C2314yes—
82C2×#11745664—24no—
83C2×#11745664C2314yes—
84C22×C59⋊C8C2312yes—
85#14273711—28no—
86#14273707—22no—
87#14273707—22no—
88#14273707C2314yes—
89#14273707C2314yes—
90#14273702—22no—
91#14273702—22no—
92#14273702C2314yes—
93#14273702C2314yes—
94#14273697—28no—
95C4×D236—28no—
96C4×D236—28no—
97C2×C4⋊Dic59—21no—
98C2×C4⋊Dic59—22no—
99C2×C4⋊Dic59—21no—
100C2×C4⋊Dic59—21no—
101C2×C4⋊Dic59C2312yes—
102C2×C4⋊Dic59C2314yes—
103C2×Dic59⋊C4—22no—
104C2×Dic59⋊C4—22no—
105C2×Dic59⋊C4—28no—
106C4⋊C4×D59—24no—
107C4⋊C4×D59—24no—
108C4⋊C4×D59—28no—
109C4⋊C4×D59—28no—
110C4⋊C4×D59C2318yes—
111C4⋊C4×D59C2318yes—
112C2×(C2×D59)⋊C4—21no—
113C2×(C2×D59)⋊C4—21no—
114C2×(C2×D59)⋊C4—21no—
115C2×(C2×D59)⋊C4—21no—
116#14273660C2318yescomplemented
117#14273658C2318yescomplemented
118#14273652C2318yescomplemented
119#14273650C2318yescomplemented
120#14273649C2318yescomplemented
121#14273647C2318yescomplemented
122(C2×D59)⋊C8C2318yes—
123(C2×D59)⋊C8C2318yes—
124C23×C4×C59—21no—
125C23×C4×C59C2311yescharacteristic
126C2×M16×C59—24no—
127C2×M16×C59C2314yes—
128C22×C8×C59C2312yes—
129#117×C59—22no—
130#117×C59C2314yes—
131C2×C4⋊C4×C59—21no—
132C2×C4⋊C4×C59—22no—
133C2×C4⋊C4×C59C2311yescharacteristic
134C2×C4⋊C4×C59C2311yescharacteristic
135C2×C4⋊C4×C59C2312yes—
136C2×C4⋊C4×C59C2314yes—
137C2×C22⋊C4×C59—21no—
138C2×C42×C59—21no—
139#107×C59C2318yescomplemented
140#106×C59C2318yescomplemented
141C24×C59C2×D411yescharacteristic
142C23×D59—24no—
143C23×D59—24no—
144C23×D59—24no—
145C23×D59—21no—
146C23×D59C2×D414yes—
147C23×D59C2×D411yescharacteristic
148C23×D59C2×D411yescharacteristic
149C22×C4×C59—21no—
150C22×C4×C59—21no—
151C22×C4×C59—24no—
152C22×C4×C59—22no—
153C22×C4×C59—44no—
154C22×C4×C59C2×D411yescharacteristic
155C22×C4×C59C2×D412yes—
156C22×C4×C59#4114yes—
157C22×C4×C59#4114yes—
158C22×C4×C59C2411yescharacteristic
159C22×C4×C59C2412yes—
160C2×C22⋊D59—24no—
161C2×C22⋊D59—44no—
162C22×Dic59—24no—
163C22×Dic59—21no—
164C22×Dic59—24no—
165C22×Dic59—22no—
166C22×Dic59—44no—
167C22×Dic59C2×D411yescharacteristic
168C22×Dic59C2×D411yescharacteristic
169C22×Dic59C2×D414yes—
170#11745685—28no—
171#11745685—28no—
172#11745685—48no—
173C2×D236—22no—
174C2×D236—22no—
175C2×D236—24no—
176C2×D236—24no—
177C2×D236—21no—
178C2×D236—44no—
179C2×D236—44no—
180C2×D236C2412yes—
181C2×C4×D59—24no—
182C2×C4×D59—24no—
183C2×C4×D59—216no—
184C2×C4×D59—22no—
185C2×C4×D59—22no—
186C2×C4×D59—28no—
187C2×C4×D59—22no—
188C2×C4×D59—22no—
189C2×C4×D59—28no—
190C2×C4×D59—28no—
191C2×C4×D59—28no—
192C2×C4×D59—24no—
193C2×C4×D59—48no—
194C2×C4×D59—432no—
195C2×C4×D59—48no—
196C2×C4×D59—44no—
197C2×C4×D59C2×D414yes—
198C2×C4×D59C2×D414yes—
199C2×C4×D59C2×D412yes—
200C2×C4×D59C2×D412yes—
201C2×C4×D59C2412yes—
202C2×C4×D59C2412yes—
203C2×Dic118—22no—
204C2×Dic118—22no—
205C2×Dic118—21no—
206C2×Dic118C2412yes—
207M16×C59—28no—
208C2×C8×C59—24no—
209C2×C8×C59C2414yes—
210C4⋊C4×C59—24no—
211C4⋊C4×C59—22no—
212C4⋊C4×C59—21no—
213C4⋊C4×C59—21no—
214C4⋊C4×C59C2412yes—
215C4⋊C4×C59C2414yes—
216C4⋊C4×C59C2412yes—
217C22⋊C4×C59—24no—
218C42×C59—24no—
219(C2×D59)⋊C4—24no—
220(C2×D59)⋊C4—24no—
221(C2×D59)⋊C4—24no—
222(C2×D59)⋊C4—24no—
223C4⋊Dic59—24no—
224C4⋊Dic59—22no—
225C4⋊Dic59—24no—
226C4⋊Dic59—24no—
227C4⋊Dic59C2414yes—
228Dic59⋊C4—28no—
229Dic59⋊C4—28no—
230#11745664—28no—
231C2×C59⋊C8—24no—
232C2×C59⋊C8C2414yes—
233C23×C59—22no—
234C23×C59—22no—
235C23×C59#12314yes—
236C23×C59C22×D412yes—
237C23×C59C22×D411yescharacteristic
238C22×D59—232no—
239C22×D59—28no—
240C22×D59—22no—
241C22×D59—22no—
242C22×D59—22no—
243C22×D59—22no—
244C22×D59—28no—
245C22×D59—28no—
246C22×D59—22no—
247C22×D59—42no—
248C22×D59—42no—
249C22×D59—42no—
250C22×D59AGL(1,ℤ/8)14yes—
251C22×D59#13714yes—
252C22×D59C22×D412yes—
253C22×D59C22×D412yes—
254C2×C4×C59—24no—
255C2×C4×C59—22no—
256C2×C4×C59—22no—
257C2×C4×C59—48no—
258C2×C4×C59—44no—
259C2×C4×C59—42no—
260C2×C4×C59—42no—
261C2×C4×C59#12314yes—
262C2×C4×C59#12318yes—
263C2×C4×C59C22×D412yes—
264C2×C4×C59C22×D411yescharacteristic
265C2×C4×C59C2×#4112yes—
266C2×C4×C59C2×#4114yes—
267C2×C4×C59C2×#4112yes—
268C2×C4×C59C2×#4114yes—
269C2×C4×C59C2511yescharacteristic
270C22⋊D59—48no—
271C2×Dic59—28no—
272C2×Dic59—22no—
273C2×Dic59—22no—
274C2×Dic59—24no—
275C2×Dic59—22no—
276C2×Dic59—48no—
277C2×Dic59—42no—
278C2×Dic59—44no—
279C2×Dic59C22×D412yes—
280C2×Dic59C22×D412yes—
281D236—22no—
282D236—22no—
283D236—48no—
284D236—48no—
285D236—42no—
286C4×D59—24no—
287C4×D59—24no—
288C4×D59—28no—
289C4×D59—28no—
290C4×D59—22no—
291C4×D59—22no—
292C4×D59—22no—
293C4×D59—22no—
294C4×D59—416no—
295C4×D59—416no—
296C4×D59—48no—
297Dic118—22no—
298Dic118—22no—
299Dic118—42no—
300C8×C59—24no—
301C59⋊C8—24no—
302C2×#3092—591nomaximal, Sylow
303C22×C59—28no—
304C22×C59—22no—
305C22×C59—22no—
306C22×C59C2×#12314yes—
307C22×C59C2×#12312yes—
308C22×C59C2×AGL(1,ℤ/8)12yes—
309C22×C59C2×#13712yes—
310C22×C59C23×D411yescharacteristic
311C2×D59—232no—
312C2×D59—28no—
313C2×D59—28no—
314C2×D59—22no—
315C2×D59—22no—
316C2×D59—22no—
317C2×D59—22no—
318C2×D59—42no—
319C2×D59—42no—
320C2×D59—42no—
321C2×D59—84no—
322C2×D59C2×AGL(1,ℤ/8)14yes—
323C2×D59C2×#13714yes—
324C4×C59—44no—
325C4×C59—42no—
326C4×C59—42no—
327C4×C59C2×#12312yes—
328C4×C59C2×#12314yes—
329C4×C59C22×#4111yescharacteristic
330C4×C59C22×#4111yescharacteristic
331Dic59—22no—
332Dic59—22no—
333Dic59—42no—
334Dic59—44no—
335C2×#525—591no—
336C23×C4⋊C4—591no—
337#3092—5916no—
338C2×#484—592no—
339C2×#481—592no—
340C2×#483—592no—
341C2×#480—592no—
342C2×#428—591no—
343C2×#428D5911yescharacteristic, complemented
344C2×#417—591no—
345C2×#417—591no—
346C2×#407—591no—
347C2×C59—24no—
348C2×C59#309214yescomplemented
349C2×C59C22×#12311yescharacteristic
350C2×C59C22×AGL(1,ℤ/8)11yescharacteristic
351C2×C59C22×#13711yescharacteristic
352D59—24no—
353D59—24no—
354D59—82no—
355C22×#41—591no—
356C24×C4—591no—
357C24×C4—1181no—
358C22×M16—591no—
359C22×M16C2×D5911yescharacteristic
360#525—598no—
361#525—1184no—
362C2×#123—1181no—
363C2×C22⋊Q8—591no—
364C2×C22⋊Q8—591no—
365C2×#121—591no—
366C2×#121—591no—
367C2×#120—1181no—
368C2×C4×D4—1181no—
369C2×C4×D4—1181no—
370C2×#117C2×D5911yescharacteristic
371C22×C4⋊C4—591no—
372C22×C4⋊C4—592no—
373C22×C4⋊C4—592no—
374C22×C4⋊C4—598no—
375C22×C4⋊C4—1181no—
376C22×C4⋊C4—1181no—
377C22×C4⋊C4—1184no—
378C22×C4⋊C4—1181no—
379C22×C4⋊C4C2×D5911yescharacteristic
380#484—5916no—
381#483—5916no—
382#481—5916no—
383#480—5916no—
384#428—598no—
385#428C2×D5918yescomplemented
386C2×#107—592no—
387C2×#107C2×D5912yescomplemented
388C2×#106—592no—
389C2×#106C2×D5912yescomplemented
390#417—598no—
391#417—598no—
392C2×#103—592no—
393C2×#103—592no—
394C2×#102—592no—
395C2×#102—592no—
396#407—598no—
397C2×C22⋊C8—592no—
398C2×C22⋊C8—592no—
399C59C2×#309211yescharacteristic, complemented, Sylow
400C25—591no—
401C2×#41—594no—
402C2×#41—1182no—
403C2×#41—1184no—
404C2×#41—1184no—
405C22×Q8—591no—
406C22×D4—591no—
407C22×D4—1181no—
408C22×D4—1181no—
409C22×D4—1181no—
410C23×C4—21no—
411C23×C4—591no—
412C23×C4—591no—
413C23×C4—591no—
414C23×C4—594no—
415C23×C4—591no—
416C23×C4—591no—
417C23×C4—594no—
418C23×C4—1188no—
419C23×C4—1182no—
420C23×C4—1182no—
421C23×C4—1184no—
422C23×C4—1184no—
423C23×C4—1181no—
424C23×C4—1181no—
425C23×C4—2368no—
426C23×C4C22×D5911yescharacteristic
427C2×M16—24no—
428C2×M16—594no—
429C2×M16—1184no—
430C2×M16C22×D5914yes—
431C22×C8—592no—
432C22×C8C22×D5912yes—
433#123—1188no—
434C22⋊Q8—594no—
435C22⋊Q8—594no—
436C22⋊Q8—1182no—
437C22⋊Q8—1182no—
438#121—594no—
439#121—594no—
440#121—1182no—
441#121—1182no—
442#120—1188no—
443C4×D4—1188no—
444C4×D4—1188no—
445#117—22no—
446#117C22×D5914yes—
447C2×C4⋊C4—22no—
448C2×C4⋊C4—21no—
449C2×C4⋊C4—592no—
450C2×C4⋊C4—594no—
451C2×C4⋊C4—598no—
452C2×C4⋊C4—598no—
453C2×C4⋊C4—1188no—
454C2×C4⋊C4—1188no—
455C2×C4⋊C4—1184no—
456C2×C4⋊C4—1184no—
457C2×C4⋊C4—1188no—
458C2×C4⋊C4—1182no—
459C2×C4⋊C4—1182no—
460C2×C4⋊C4—1181no—
461C2×C4⋊C4—1181no—
462C2×C4⋊C4—1182no—
463C2×C4⋊C4—1181no—
464C2×C4⋊C4C22×D5912yes—
465C2×C4⋊C4C22×D5914yes—
466C2×C4⋊C4C22×D5911yescharacteristic
467C2×C4⋊C4C22×D5911yescharacteristic
468C2×C22⋊C4—21no—
469C2×C22⋊C4—1181no—
470C2×C22⋊C4—1181no—
471C2×C22⋊C4—1181no—
472C2×C22⋊C4—1181no—
473C2×C42—21no—
474#107—598no—
475#107C22×D5918yescomplemented
476#106—598no—
477#106C22×D5918yescomplemented
478#103—598no—
479#103—598no—
480#102—598no—
481#102—598no—
482C22⋊C8—598no—
483C22⋊C8—598no—
484C24—591no—
485C24—591no—
486C24—594no—
487C24—1184no—
488C24—1184no—
489C24—1184no—
490C24—1181no—
491C24D4×D5911yescharacteristic
492#41—1188no—
493#41—1188no—
494#41—2368no—
495C2×Q8—592no—
496C2×Q8—1181no—
497C2×Q8—1182no—
498C2×Q8—1182no—
499C2×D4—592no—
500C2×D4—1184no—
501C2×D4—1184no—
502C2×D4—1184no—
503C2×D4—1181no—
504C2×D4—1182no—
505C2×D4—1182no—
506C2×D4—2364no—
507C2×D4—2364no—
508C2×D4—2364no—
509C22×C4—24no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—22no—
513C22×C4—44no—
514C22×C4—594no—
515C22×C4—591no—
516C22×C4—591no—
517C22×C4—594no—
518C22×C4—594no—
519C22×C4—592no—
520C22×C4—592no—
521C22×C4—592no—
522C22×C4—592no—
523C22×C4—1188no—
524C22×C4—1188no—
525C22×C4—1184no—
526C22×C4—1184no—
527C22×C4—1184no—
528C22×C4—11816no—
529C22×C4—1182no—
530C22×C4—1182no—
531C22×C4—1188no—
532C22×C4—1182no—
533C22×C4—1182no—
534C22×C4—1188no—
535C22×C4—1184no—
536C22×C4—1181no—
537C22×C4—1182no—
538C22×C4—1184no—
539C22×C4—2368no—
540C22×C4—23632no—
541C22×C4—2368no—
542C22×C4—2364no—
543C22×C4—2364no—
544C22×C4#1174568514yes—
545C22×C4D4×D5912yes—
546C22×C4D4×D5911yescharacteristic
547C22×C4#1174568914yes—
548C22×C4C23×D5912yes—
549C22×C4C23×D5911yescharacteristic
550M16—28no—
551M16—1188no—
552C2×C8—24no—
553C2×C8—594no—
554C2×C8—1184no—
555C2×C8C23×D5914yes—
556C4⋊C4—24no—
557C4⋊C4—22no—
558C4⋊C4—21no—
559C4⋊C4—21no—
560C4⋊C4—594no—
561C4⋊C4—1188no—
562C4⋊C4—1188no—
563C4⋊C4—1184no—
564C4⋊C4—1184no—
565C4⋊C4—1184no—
566C4⋊C4—1182no—
567C4⋊C4C23×D5914yes—
568C4⋊C4C23×D5912yes—
569C4⋊C4C23×D5912yes—
570C22⋊C4—24no—
571C22⋊C4—1184no—
572C22⋊C4—1184no—
573C22⋊C4—1184no—
574C22⋊C4—1184no—
575C42—24no—
576C23—22no—
577C23—22no—
578C23—594no—
579C23—594no—
580C23—592no—
581C23—592no—
582C23—1188no—
583C23—1188no—
584C23—11832no—
585C23—1188no—
586C23—1182no—
587C23—1182no—
588C23—1182no—
589C23—1182no—
590C23—1182no—
591C23—2362no—
592C23—2362no—
593C23—2362no—
594C23#1427371214yes—
595C23C2×D4×D5912yes—
596C23C2×D4×D5911yescharacteristic
597Q8—1182no—
598Q8—1182no—
599Q8—2362no—
600D4—1182no—
601D4—1182no—
602D4—2368no—
603D4—2368no—
604D4—2368no—
605D4—2362no—
606C2×C4—22no—
607C2×C4—22no—
608C2×C4—24no—
609C2×C4—48no—
610C2×C4—44no—
611C2×C4—42no—
612C2×C4—42no—
613C2×C4—592no—
614C2×C4—592no—
615C2×C4—1188no—
616C2×C4—1182no—
617C2×C4—1182no—
618C2×C4—1188no—
619C2×C4—1188no—
620C2×C4—1184no—
621C2×C4—1184no—
622C2×C4—1182no—
623C2×C4—1182no—
624C2×C4—1182no—
625C2×C4—1182no—
626C2×C4—1182no—
627C2×C4—1184no—
628C2×C4—23616no—
629C2×C4—23616no—
630C2×C4—2368no—
631C2×C4—2362no—
632C2×C4—2364no—
633C2×C4—2368no—
634C2×C4#1427371214yes—
635C2×C4#1427371218yes—
636C2×C4C2×D4×D5912yes—
637C2×C4C2×D4×D5911yescharacteristic
638C2×C4C2×#1174568512yes—
639C2×C4C2×#1174568514yes—
640C2×C4C2×#1174568912yes—
641C2×C4C2×#1174568914yes—
642C2×C4C24×D5911yescharacteristic
643C8—24no—
644C8—1184no—
645C22—22no—
646C22—22no—
647C22—28no—
648C22—594no—
649C22—594no—
650C22—11832no—
651C22—1182no—
652C22—1182no—
653C22—1182no—
654C22—1182no—
655C22—1188no—
656C22—1188no—
657C22—4724no—
658C22—2362no—
659C22—2362no—
660C22—2362no—
661C22C2×#1427371214yes—
662C22C2×#1427371212yes—
663C22AGL(1,ℤ/8)×D5912yes—
664C22#137×D5912yes—
665C22C22×D4×D5911yescharacteristic
666C4—44no—
667C4—42no—
668C4—42no—
669C4—1182no—
670C4—1182no—
671C4—2364no—
672C4—2362no—
673C4C2×#1427371214yes—
674C4C2×#1427371212yes—
675C4C22×#1174568511yescharacteristic
676C4C22×#1174568911yescharacteristic
677C2—24no—
678C2—1184no—
679C2—1184no—
680C2—4722no—
681C2#2143402214yesdirect product factor
682C2C22×#1427371211yescharacteristic
683C2C2×AGL(1,ℤ/8)×D5911yescharacteristic
684C2C2×#137×D5911yescharacteristic
subgroupG/H
centerC23C2×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC2×C59×#428C2
socleC23×C59C22×D4
prime radicalC2×#16837914C2
hypercenterC2×#428D59
hypocenterC59C2×#3092
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#428

Complements

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

NH ≅ G/Ntype
2. C22×C4⋊C4×D59C2semidirect
3. #21434022C2direct (N × H)
4. C2×#16837739C2semidirect
5. C2×#16837722C2semidirect
6. C2×#16837734C2semidirect
7. C2×#16837717C2semidirect
8. C2×#16837445C2semidirect
9. C2×#16837404C2semidirect
10. C2×#16837401C2semidirect
11. C2×#16837365C2semidirect
12. C2×C59×#428C2semidirect
34. C2×C4⋊C4×D59C22semidirect
35. #16837739C22semidirect
36. #16837734C22semidirect
37. #16837722C22semidirect
38. #16837717C22semidirect
39. #16837445C22semidirect
40. C2×#14273660C22semidirect
41. C2×#14273658C22semidirect
42. #16837404C22semidirect
43. #16837401C22semidirect
44. C2×#14273652C22semidirect
45. C2×#14273650C22semidirect
46. C2×#14273649C22semidirect
47. C2×#14273647C22semidirect
48. #16837365C22semidirect
54. C59×#428C22semidirect
55. C2×#107×C59C22semidirect
56. C2×#106×C59C22semidirect
116. #14273660C23semidirect
117. #14273658C23semidirect
118. #14273652C23semidirect
119. #14273650C23semidirect
120. #14273649C23semidirect
121. #14273647C23semidirect
139. #107×C59C23semidirect
140. #106×C59C23semidirect
343. C2×#428D59semidirect
348. C2×C59#3092semidirect
385. #428C2×D59semidirect
387. C2×#107C2×D59semidirect
389. C2×#106C2×D59semidirect
399. C59C2×#3092semidirect
475. #107C22×D59semidirect
477. #106C22×D59semidirect
681. C2#21434022direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#168379142
C22×C4⋊C4×D592
#214340222
C2×#168377392
C2×#168377222
C2×#168377342
C2×#168377172
C2×#168374452
C2×#168374042
C2×#168374012
C2×#168373652
C2×C59×#4282
C2×#309259