Finite Group Databasebeta

← #29456332

Subgroups — #29456332

Order 15104.

2030 conjugacy classes of subgroups.

The subgroup lattice has 698 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16838030C211yesmaximal, characteristic, complemented
2#21433958C214yesmaximal, complemented
3#21433947C214yesmaximal, complemented
4#21433938C214yesmaximal, complemented
5#21433927C214yesmaximal, complemented
6#21433918C214yesmaximal, complemented
7#21433911C214yesmaximal, complemented
8#21432685C211yesmaximal, characteristic, complemented
9C2×#16837445C211yesmaximal, characteristic, complemented
10#21432660C211yesmaximal, characteristic, complemented
11#21432615C211yesmaximal, characteristic
12C2×#16837403C211yesmaximal, characteristic
13C59×#3428C211yesmaximal, characteristic
14C22×#11745664C2211yescharacteristic
15C22×#11745664C2211yescharacteristic
16#16838030—22no—
17#16838030—22no—
18#16838030C2214yes—
19#16838030C2214yescomplemented
20C2×#14273727C2212yescomplemented
21C2×#14273726—21no—
22C2×#14273719C2212yescomplemented
23C2×#14273718—21no—
24C2×#14273704—22no—
25C2×#14273686C2211yescharacteristic
26C22×C4⋊Dic59C2211yescharacteristic
27#16837709C2218yescomplemented
28#16837709C2218yescomplemented
29#16837702C2218yescomplemented
30#16837702C2218yescomplemented
31#16837697C2218yescomplemented
32#16837692C2218yescomplemented
33#16837687C2218yescomplemented
34#16837682C2218yescomplemented
35#16837445C2214yes—
36#16837445C2212yescomplemented
37#16837445C2214yescomplemented
38#16837445C2212yescomplemented
39#16837442C2212yescomplemented
40#16837442C2212yescomplemented
41#16837438C2214yes—
42C2×#14273660C2212yescomplemented
43C2×#14273658C2212yescomplemented
44#16837429C2214yes—
45#16837429C2214yescomplemented
46#16837426C2214yescomplemented
47#16837411C2212yes—
48#16837407C2212yes—
49#16837403C2214yes—
50#16837403C2214yes—
51#16837403C2212yes—
52#16837403C2212yes—
53#16837398C2214yes—
54C2×#14273651C2212yes—
55C2×#14273648C2212yes—
56C22×#41×C59C2211yescharacteristic
57C59×#520—21no—
58C59×#520—21no—
59C59×#520C2212yes—
60C59×#520C2212yes—
61C59×#519C2212yes—
62C59×#518—22no—
63C59×#518C2212yes—
64C4×#41×C59—22no—
65C4×#41×C59C2214yes—
66C2×#117×C59—22no—
67C2×#117×C59C2211yescharacteristic
68C2×#117×C59C2211yescharacteristic
69C22×Dic118—22no—
70C23×Dic59—21no—
71C2×#11745664—24no—
72C2×#11745664—24no—
73C2×#11745664C2312yes—
74C2×#11745664C2312yes—
75C2×#11745664C2312yes—
76C2×#11745664C2312yes—
77C22×C59⋊C8C2312yes—
78C22×C59⋊C8C2312yes—
79#14273727—24no—
80#14273727C2318yes—
81#14273726—24no—
82#14273726—24no—
83#14273719—24no—
84#14273719C2318yes—
85#14273718—24no—
86#14273718—24no—
87#14273704—28no—
88#14273704—28no—
89#14273686—21no—
90#14273686—21no—
91#14273686C2312yes—
92#14273686C2312yes—
93C2×C4⋊Dic59—22no—
94C2×C4⋊Dic59—21no—
95C2×C4⋊Dic59—21no—
96C2×C4⋊Dic59—21no—
97C2×C4⋊Dic59C2312yes—
98C2×C4⋊Dic59C2311yescharacteristic
99C2×C4⋊Dic59C2312yes—
100C2×C4⋊Dic59C2312yes—
101C2×C4⋊Dic59C2311yescharacteristic
102C2×Dic59⋊C4—22no—
103C2×Dic59⋊C4—22no—
104C2×C22⋊Dic59—21no—
105C2×C4×Dic59—21no—
106#14273660C2314yes—
107#14273660C2318yes—
108#14273660C2314yes—
109#14273658C2314yes—
110#14273658C2318yes—
111#14273658C2314yes—
112C4⋊(C59⋊C8)C2318yes—
113C4⋊(C59⋊C8)C2318yes—
114#14273651C2318yes—
115#14273651C2314yes—
116#14273651C2314yes—
117#14273648C2318yes—
118#14273648C2314yes—
119#14273648C2314yes—
120C2×#41×C59—21no—
121C2×#41×C59—21no—
122C2×#41×C59—24no—
123C2×#41×C59Q818yescomplemented
124C2×#41×C59C2312yes—
125C2×#41×C59C2312yes—
126C22×Q8×C59C2311yescharacteristic
127C22×D4×C59—21no—
128C22×D4×C59C2311yescharacteristic
129C23×C4×C59—21no—
130C23×C4×C59C2311yescharacteristic
131C4×Q8×C59—22no—
132C4×Q8×C59—22no—
133C4×Q8×C59C2314yes—
134C4×Q8×C59C2314yes—
135C4×D4×C59—24no—
136C4×D4×C59—24no—
137C4×D4×C59—22no—
138C4×D4×C59—22no—
139C4×D4×C59—24no—
140C4×D4×C59—24no—
141C4×D4×C59C2314yes—
142C4×D4×C59C2314yes—
143#117×C59—21no—
144#117×C59—21no—
145#117×C59—22no—
146#117×C59—22no—
147#117×C59—24no—
148#117×C59—24no—
149#117×C59D412yes—
150#117×C59D412yes—
151#117×C59C2312yes—
152#117×C59C2312yes—
153#117×C59C2312yes—
154#117×C59C2312yes—
155C2×C4⋊C4×C59—22no—
156C2×C4⋊C4×C59—22no—
157C2×C4⋊C4×C59D411yescharacteristic
158C2×C4⋊C4×C59D411yescharacteristic
159C2×C4⋊C4×C59C2311yescharacteristic
160C2×C4⋊C4×C59C2311yescharacteristic
161C2×C22⋊C4×C59—21no—
162C2×C22⋊C4×C59—24no—
163C2×C22⋊C4×C59D412yes—
164C2×C42×C59—21no—
165C2×C42×C59—24no—
166C2×C42×C59C2312yes—
167C24×C59—21no—
168C24×C59C2×D411yescharacteristic
169#41×C59—28no—
170#41×C59—28no—
171#41×C59—24no—
172#41×C59—24no—
173#41×C59C2×Q818yes—
174#41×C59C2×Q818yescomplemented
175C2×Q8×C59—21no—
176C2×Q8×C59—22no—
177C2×Q8×C59C2×Q814yescomplemented
178C2×Q8×C59C2412yes—
179C2×D4×C59—28no—
180C2×D4×C59—22no—
181C2×D4×C59—22no—
182C2×D4×C59—21no—
183C2×D4×C59—22no—
184C2×D4×C59C2×Q814yescomplemented
185C2×D4×C59C2412yes—
186C22×C4×C59—21no—
187C22×C4×C59—28no—
188C22×C4×C59—22no—
189C22×C4×C59—22no—
190C22×C4×C59—21no—
191C22×C4×C59—21no—
192C22×C4×C59—24no—
193C22×C4×C59—24no—
194C22×C4×C59C2×D412yes—
195C22×C4×C59C2×D412yes—
196C22×C4×C59C2×D411yescharacteristic
197C22×C4×C59C2×D411yescharacteristic
198C22×C4×C59C2×D411yescharacteristic
199C22×C4×C59C2×Q814yes—
200C22×C4×C59#4114yes—
201C22×C4×C59C2411yescharacteristic
202C22×C4×C59C2411yescharacteristic
203C22×C4×C59C2411yescharacteristic
204C22×Dic59—21no—
205C22×Dic59—21no—
206C22×Dic59—22no—
207C22×Dic59—22no—
208C22×Dic59—22no—
209C22×Dic59—82no—
210C2×Dic118—28no—
211C2×Dic118—84no—
212C4⋊C4×C59—21no—
213C4⋊C4×C59—21no—
214C4⋊C4×C59—24no—
215C4⋊C4×C59—24no—
216C4⋊C4×C59C2×D412yes—
217C4⋊C4×C59C2×D412yes—
218C4⋊C4×C59C2×D412yes—
219C4⋊C4×C59C2×D412yes—
220C4⋊C4×C59C2412yes—
221C4⋊C4×C59C2412yes—
222C22⋊C4×C59—22no—
223C22⋊C4×C59—22no—
224C22⋊C4×C59—24no—
225C22⋊C4×C59—24no—
226C22⋊C4×C59C2×D414yes—
227C22⋊C4×C59C2×D414yes—
228C42×C59—22no—
229C42×C59—24no—
230C42×C59—24no—
231C42×C59—22no—
232C42×C59C2×D414yes—
233C42×C59C2414yes—
234C22⋊Dic59—22no—
235C22⋊Dic59—22no—
236C4⋊Dic59—22no—
237C4⋊Dic59—22no—
238C4⋊Dic59—22no—
239C4⋊Dic59—28no—
240C4⋊Dic59—21no—
241C4⋊Dic59—21no—
242C4⋊Dic59C2414yes—
243C4⋊Dic59C2412yes—
244C4⋊Dic59C2412yes—
245Dic59⋊C4—28no—
246Dic59⋊C4—28no—
247C4×Dic59—22no—
248C4×Dic59—22no—
249#11745664—24no—
250#11745664—24no—
251#11745664—24no—
252#11745664—24no—
253C2×C59⋊C8—24no—
254C2×C59⋊C8—24no—
255C2×C59⋊C8C2414yes—
256C2×C59⋊C8C2414yes—
257C23×C59—22no—
258C23×C59—24no—
259C23×C59—41no—
260C23×C59—41no—
261C23×C59—81no—
262C23×C59—81no—
263C23×C59C22⋊Q814yes—
264C23×C59C22×D411yescharacteristic
265C23×C59C22×D411yescharacteristic
266C23×C59C22×D411yescharacteristic
267Q8×C59—24no—
268Q8×C59—22no—
269Q8×C59C22×Q814yes—
270D4×C59—28no—
271D4×C59—28no—
272D4×C59—24no—
273D4×C59—22no—
274D4×C59C22×Q814yes—
275C2×C4×C59—24no—
276C2×C4×C59—22no—
277C2×C4×C59—28no—
278C2×C4×C59—28no—
279C2×C4×C59—22no—
280C2×C4×C59—22no—
281C2×C4×C59—42no—
282C2×C4×C59—42no—
283C2×C4×C59—84no—
284C2×C4×C59—84no—
285C2×C4×C59—81no—
286C2×C4×C59—81no—
287C2×C4×C59C22⋊Q814yes—
288C2×C4×C59C22⋊Q814yes—
289C2×C4×C59C22⋊Q814yes—
290C2×C4×C59C22×D414yes—
291C2×C4×C59C22×D414yes—
292C2×C4×C59C22×D411yescharacteristic
293C2×C4×C59C22×D411yescharacteristic
294C2×C4×C59C22×D411yescharacteristic
295C2×C4×C59C22×Q812yes—
296C2×C4×C59C22×Q812yes—
297C2×C4×C59C22×Q812yes—
298C2×C4×C59C2×#4112yes—
299C2×C4×C59C2×#4112yes—
300C2×C4×C59C2×#4112yes—
301C2×C4×C59C2511yescharacteristic
302C2×Dic59—22no—
303C2×Dic59—22no—
304C2×Dic59—24no—
305C2×Dic59—42no—
306C2×Dic59—44no—
307C2×Dic59—42no—
308C2×Dic59—82no—
309C2×Dic59—82no—
310Dic118—88no—
311C59⋊C8—24no—
312C59⋊C8—24no—
313#60493—591nomaximal, Sylow
314C22×C59—21no—
315C22×C59—21no—
316C22×C59—21no—
317C22×C59—21no—
318C22×C59—21no—
319C22×C59—21no—
320C22×C59—24no—
321C22×C59—44no—
322C22×C59—42no—
323C22×C59—42no—
324C22×C59—84no—
325C22×C59C2×C22⋊Q812yes—
326C22×C59C2×C22⋊Q812yes—
327C22×C59C2×C22⋊Q812yes—
328C22×C59C23×D411yescharacteristic
329C4×C59—24no—
330C4×C59—24no—
331C4×C59—24no—
332C4×C59—42no—
333C4×C59—42no—
334C4×C59C2×C22⋊Q812yes—
335C4×C59C2×C22⋊Q812yes—
336C4×C59C2×C22⋊Q812yes—
337C4×C59C23×Q811yescharacteristic
338C4×C59C22×#4111yescharacteristic
339Dic59—42no—
340Dic59—44no—
341Dic59—42no—
342C2×#544—591no—
343#3428D5911yescharacteristic
344#3084—594no—
345#3083—594no—
346#3082—594no—
347#3081—594no—
348#3080—594no—
349#3079—594no—
350#2911—591no—
351C2×#428—591no—
352#2905—591no—
353#2896—591no—
354C2×#417—591no—
355C2×C59—22no—
356C2×C59—22no—
357C2×C59—22no—
358C2×C59—44no—
359C2×C59C22×C22⋊Q811yescharacteristic
360C2×C59#358511yescharacteristic
361C2×C59#358611yescharacteristic
362C22×#41C2×D5911yescharacteristic
363C22×M16—591no—
364C22×M16—591no—
365#544—594no—
366#544—594no—
367#544—1182no—
368#544—1182no—
369C2×C4⋊Q8—592no—
370C2×C4⋊Q8—1181no—
371C2×#125—592no—
372C2×#125—1181no—
373C2×C22⋊Q8—1182no—
374#520—21no—
375#520—21no—
376#520C2×D5912yes—
377#520C2×D5912yes—
378#519C2×D5912yes—
379#518—22no—
380#518C2×D5912yes—
381C4×#41—22no—
382C4×#41C2×D5914yes—
383C2×#117—22no—
384C2×#117—591no—
385C2×#117C2×D5911yescharacteristic
386C2×#117C2×D5911yescharacteristic
387C22×C4⋊C4—591no—
388#479—598no—
389#479—598no—
390#478—598no—
391#478—598no—
392#477—598no—
393#476—598no—
394#475—598no—
395#474—598no—
396#428—592no—
397#428—594no—
398#428—592no—
399#428—594no—
400#428—592no—
401#428—592no—
402#427—594no—
403C2×#107—592no—
404C2×#106—592no—
405#424—594no—
406#424—594no—
407#423—594no—
408#419—592no—
409#418—592no—
410#417—592no—
411#417—594no—
412#417—592no—
413#417—594no—
414#416—594no—
415C2×#103—592no—
416C2×#102—592no—
417C59#6049311yescharacteristic, complemented, Sylow
418C2×#41—24no—
419C2×#41—21no—
420C2×#41—21no—
421C2×#41Dic11818yescomplemented
422C2×#41C22×D5912yes—
423C2×#41C22×D5912yes—
424C22×Q8—1182no—
425C22×Q8C22×D5911yescharacteristic
426C22×D4—21no—
427C22×D4C22×D5911yescharacteristic
428C23×C4—21no—
429C23×C4—1181no—
430C23×C4C22×D5911yescharacteristic
431C2×M16—592no—
432C2×M16—592no—
433C2×M16—592no—
434C2×M16—592no—
435C2×M16—1184no—
436C2×M16—1184no—
437C22×C8—592no—
438C22×C8—592no—
439C4⋊Q8—598no—
440C4⋊Q8—1184no—
441C4⋊Q8—1184no—
442C4⋊Q8—1184no—
443#125—598no—
444#125—1184no—
445#125—1184no—
446#125—1184no—
447C22⋊Q8—1188no—
448C22⋊Q8—1188no—
449C4×Q8—22no—
450C4×Q8—22no—
451C4×Q8C22×D5914yes—
452C4×Q8C22×D5914yes—
453C4×D4—24no—
454C4×D4—24no—
455C4×D4—22no—
456C4×D4—22no—
457C4×D4—24no—
458C4×D4—24no—
459C4×D4C22×D5914yes—
460C4×D4C22×D5914yes—
461#117—21no—
462#117—21no—
463#117—22no—
464#117—22no—
465#117—24no—
466#117—24no—
467#117—592no—
468#117—592no—
469#117—1181no—
470#117—1181no—
471#117C22⋊D5912yes—
472#117C22⋊D5912yes—
473#117C22×D5912yes—
474#117C22×D5912yes—
475#117C22×D5912yes—
476#117C22×D5912yes—
477C2×C4⋊C4—22no—
478C2×C4⋊C4—22no—
479C2×C4⋊C4—592no—
480C2×C4⋊C4—592no—
481C2×C4⋊C4—592no—
482C2×C4⋊C4—591no—
483C2×C4⋊C4—591no—
484C2×C4⋊C4—1181no—
485C2×C4⋊C4—1181no—
486C2×C4⋊C4—1181no—
487C2×C4⋊C4—1182no—
488C2×C4⋊C4—1182no—
489C2×C4⋊C4—1182no—
490C2×C4⋊C4C22⋊D5911yescharacteristic
491C2×C4⋊C4C22⋊D5911yescharacteristic
492C2×C4⋊C4C22×D5911yescharacteristic
493C2×C4⋊C4C22×D5911yescharacteristic
494C2×C22⋊C4—21no—
495C2×C22⋊C4—24no—
496C2×C22⋊C4—1181no—
497C2×C22⋊C4C22⋊D5912yes—
498C2×C42—21no—
499C2×C42—24no—
500C2×C42—1181no—
501C2×C42C22×D5912yes—
502#107—598no—
503#107—594no—
504#107—594no—
505#106—598no—
506#106—594no—
507#106—594no—
508C4⋊C8—598no—
509C4⋊C8—598no—
510#103—598no—
511#103—594no—
512#103—594no—
513#102—598no—
514#102—594no—
515#102—594no—
516C24—21no—
517C24C2×C22⋊D5911yescharacteristic
518#41—28no—
519#41—28no—
520#41—24no—
521#41—24no—
522#41C2×Dic11818yes—
523#41C2×Dic11818yescomplemented
524C2×Q8—21no—
525C2×Q8—22no—
526C2×Q8—1188no—
527C2×Q8—4724no—
528C2×Q8C2×Dic11814yescomplemented
529C2×Q8C23×D5912yes—
530C2×D4—28no—
531C2×D4—22no—
532C2×D4—22no—
533C2×D4—21no—
534C2×D4—22no—
535C2×D4C2×Dic11814yescomplemented
536C2×D4C23×D5912yes—
537C22×C4—21no—
538C22×C4—28no—
539C22×C4—22no—
540C22×C4—22no—
541C22×C4—21no—
542C22×C4—21no—
543C22×C4—24no—
544C22×C4—24no—
545C22×C4—1182no—
546C22×C4—1182no—
547C22×C4—1181no—
548C22×C4—1181no—
549C22×C4—1182no—
550C22×C4—4722no—
551C22×C4C2×Dic11814yes—
552C22×C4#1174568514yes—
553C22×C4C2×C22⋊D5912yes—
554C22×C4C2×C22⋊D5912yes—
555C22×C4C2×C22⋊D5911yescharacteristic
556C22×C4C2×C22⋊D5911yescharacteristic
557C22×C4C2×C22⋊D5911yescharacteristic
558C22×C4C23×D5911yescharacteristic
559C22×C4C23×D5911yescharacteristic
560C22×C4C23×D5911yescharacteristic
561M16—1184no—
562M16—1184no—
563M16—1184no—
564M16—1184no—
565C2×C8—594no—
566C2×C8—594no—
567C2×C8—1184no—
568C2×C8—1184no—
569C4⋊C4—21no—
570C4⋊C4—21no—
571C4⋊C4—24no—
572C4⋊C4—24no—
573C4⋊C4—594no—
574C4⋊C4—592no—
575C4⋊C4—592no—
576C4⋊C4—1182no—
577C4⋊C4—1182no—
578C4⋊C4—1182no—
579C4⋊C4—1181no—
580C4⋊C4—1181no—
581C4⋊C4—1188no—
582C4⋊C4—1188no—
583C4⋊C4—1188no—
584C4⋊C4C2×C22⋊D5912yes—
585C4⋊C4C2×C22⋊D5912yes—
586C4⋊C4C2×C22⋊D5912yes—
587C4⋊C4C2×C22⋊D5912yes—
588C4⋊C4C23×D5912yes—
589C4⋊C4C23×D5912yes—
590C22⋊C4—22no—
591C22⋊C4—22no—
592C22⋊C4—24no—
593C22⋊C4—24no—
594C22⋊C4—1182no—
595C22⋊C4—1182no—
596C22⋊C4C2×C22⋊D5914yes—
597C22⋊C4C2×C22⋊D5914yes—
598C42—22no—
599C42—24no—
600C42—24no—
601C42—22no—
602C42—1182no—
603C42—1182no—
604C42C2×C22⋊D5914yes—
605C42C23×D5914yes—
606C23—22no—
607C23—24no—
608C23—41no—
609C23—41no—
610C23—81no—
611C23—81no—
612C23#1427370614yes—
613C23C22×C22⋊D5911yescharacteristic
614C23C22×C22⋊D5911yescharacteristic
615C23C22×C22⋊D5911yescharacteristic
616Q8—24no—
617Q8—22no—
618Q8—4728no—
619Q8C22×Dic11814yes—
620D4—28no—
621D4—28no—
622D4—24no—
623D4—22no—
624D4C22×Dic11814yes—
625C2×C4—24no—
626C2×C4—22no—
627C2×C4—28no—
628C2×C4—28no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—42no—
632C2×C4—42no—
633C2×C4—84no—
634C2×C4—84no—
635C2×C4—81no—
636C2×C4—81no—
637C2×C4—1182no—
638C2×C4—1182no—
639C2×C4—1184no—
640C2×C4—4722no—
641C2×C4—4722no—
642C2×C4—2362no—
643C2×C4—2364no—
644C2×C4—2362no—
645C2×C4#1427370614yes—
646C2×C4#1427370614yes—
647C2×C4#1427370614yes—
648C2×C4C22×C22⋊D5914yes—
649C2×C4C22×C22⋊D5914yes—
650C2×C4C22×C22⋊D5911yescharacteristic
651C2×C4C22×C22⋊D5911yescharacteristic
652C2×C4C22×C22⋊D5911yescharacteristic
653C2×C4C22×Dic11812yes—
654C2×C4C22×Dic11812yes—
655C2×C4C22×Dic11812yes—
656C2×C4C2×#1174568512yes—
657C2×C4C2×#1174568512yes—
658C2×C4C2×#1174568512yes—
659C2×C4C24×D5911yescharacteristic
660C8—1184no—
661C8—1184no—
662C22—21no—
663C22—21no—
664C22—21no—
665C22—21no—
666C22—21no—
667C22—21no—
668C22—24no—
669C22—44no—
670C22—42no—
671C22—42no—
672C22—84no—
673C22C2×#1427370612yes—
674C22C2×#1427370612yes—
675C22C2×#1427370612yes—
676C22C23×C22⋊D5911yescharacteristic
677C4—24no—
678C4—24no—
679C4—24no—
680C4—42no—
681C4—42no—
682C4—2364no—
683C4—2362no—
684C4—2362no—
685C4C2×#1427370612yes—
686C4C2×#1427370612yes—
687C4C2×#1427370612yes—
688C4C23×Dic11811yescharacteristic
689C4C22×#1174568511yescharacteristic
690C2—22no—
691C2—22no—
692C2—22no—
693C2—44no—
694C2C22×#1427370611yescharacteristic
695C2#2143887511yescharacteristic
696C2#2143888211yescharacteristic
subgroupG/H
centerC22C23×C22⋊D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3428C2
socleC22×C59C23×D4
prime radicalC22×#41×C59C22
hypercenter#3428D59
hypocenterC59#60493
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C2×#117 ◁ #3428

Complements

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

NH ≅ G/Ntype
1. C2×#16838030C2semidirect
2. #21433958C2semidirect
3. #21433947C2semidirect
4. #21433938C2semidirect
5. #21433927C2semidirect
6. #21433918C2semidirect
7. #21433911C2semidirect
8. #21432685C2semidirect
9. C2×#16837445C2semidirect
10. #21432660C2semidirect
19. #16838030C22semidirect
20. C2×#14273727C22semidirect
22. C2×#14273719C22semidirect
27. #16837709C22semidirect
28. #16837709C22semidirect
29. #16837702C22semidirect
30. #16837702C22semidirect
31. #16837697C22semidirect
32. #16837692C22semidirect
33. #16837687C22semidirect
34. #16837682C22semidirect
36. #16837445C22semidirect
37. #16837445C22semidirect
38. #16837445C22semidirect
39. #16837442C22semidirect
40. #16837442C22semidirect
42. C2×#14273660C22semidirect
43. C2×#14273658C22semidirect
45. #16837429C22semidirect
46. #16837426C22semidirect
123. C2×#41×C59Q8semidirect
174. #41×C59C2×Q8semidirect
177. C2×Q8×C59C2×Q8semidirect
184. C2×D4×C59C2×Q8semidirect
417. C59#60493semidirect
421. C2×#41Dic118semidirect
523. #41C2×Dic118semidirect
528. C2×Q8C2×Dic118semidirect
535. C2×D4C2×Dic118semidirect

Maximal subgroups

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

subgroupindex
C2×#168380302
#214339582
#214339472
#214339382
#214339272
#214339182
#214339112
#214326852
C2×#168374452
#214326602
#214326152
C2×#168374032
C59×#34282
#6049359