Finite Group Databasebeta

← C2×#10613593 #12969165

Subgroups — C2×#10613593 #12969165

Order 1280.

1906 conjugacy classes of subgroups.

The subgroup lattice has 734 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#66065C211yesmaximal, characteristic, complemented
2C2×#66016C211yesmaximal, characteristic
3C2×C5×#497C211yesmaximal, characteristic, complemented
4C2×#65478C211yesmaximal, characteristic, complemented
5C2×#65477C211yesmaximal, characteristic, complemented
6C2×#65473C211yesmaximal, characteristic, complemented
7C2×Q16×Dic5C211yesmaximal, characteristic, complemented
8C2×#65463C211yesmaximal, characteristic
9C2×#65460C211yesmaximal, characteristic
10C2×#65453C211yesmaximal, characteristic, complemented
11C2×SD16×Dic5C211yesmaximal, characteristic, complemented
12C2×#65370C211yesmaximal, characteristic, complemented
13C2×#65345C211yesmaximal, characteristic, complemented
14#10613593C2116yesmaximal, direct product factor
15C2×#64997C211yesmaximal, characteristic, complemented
16C2×#64991C211yesmaximal, characteristic, complemented
17C22×C5×Q16C2211yescharacteristic
18C22×C5×Q16C2211yescharacteristic
19C22×C5×SD16C2211yescharacteristic
20C22×C5×SD16C2211yescharacteristic
21C2×C5×C4⋊Q8C2211yescharacteristic
22C2×C5×#124C2211yescharacteristic
23C2×#4092C2211yescharacteristic
24C2×#4092C2211yescharacteristic
25C2×#4092C2211yescharacteristic
26C2×Q8×Dic5C2211yescharacteristic
27C2×Q8×Dic5C2211yescharacteristic
28C2×Q8×Dic5C2211yescharacteristic
29C2×#4084C2211yescharacteristic
30C2×D4×Dic5C2211yescharacteristic
31C22×#676C2211yescharacteristic
32C22×C8×D5C2211yescharacteristic
33#66065—24no—
34#66065C2218yescomplemented
35#66016—24no—
36#66016C2218yes—
37C2×#4044—21no—
38C2×#4044—21no—
39C2×#4035—21no—
40C2×#4035—21no—
41C2×#4032—21no—
42C2×#4031—21no—
43C2×#4025—21no—
44C2×#4024—21no—
45C2×#4018C2211yescharacteristic
46C2×#4016C2211yescharacteristic
47C2×#4015C2211yescharacteristic
48C5×#497C2218yescomplemented
49C2×C5×#97C2211yescharacteristic
50C2×#3967C2211yescharacteristic
51C2×#3967C2211yescharacteristic
52C2×#3967C2211yescharacteristic
53C2×#3967C2211yescharacteristic
54C2×#3967C2211yescharacteristic
55C2×#3967C2211yescharacteristic
56C2×#3964C2211yescharacteristic
57C2×#3964C2211yescharacteristic
58#65478C2218yescomplemented
59#65477C2218yescomplemented
60#65473C2218yescomplemented
61Q16×Dic5C2218yescomplemented
62#65463C2218yes—
63#65460C2218yes—
64#65453C2218yescomplemented
65SD16×Dic5C2218yescomplemented
66C2×#3950C2211yescharacteristic
67C2×#3950C2211yescharacteristic
68C2×#3949C2211yescharacteristic
69C2×#3949C2211yescharacteristic
70C2×#3947C2211yescharacteristic
71C2×C8×Dic5C2211yescharacteristic
72#65370C2218yescomplemented
73#65345C2218yescomplemented
74C2×C4×#168C2211yescharacteristic
75#64997C2218yescomplemented
76#64991C2218yescomplemented
77C2×#3178—51nomaximal, Sylow
78C22×C5×Q8C2311yescharacteristic
79C22×C5×Q8C2311yescharacteristic
80C22×C5×Q8C2311yescharacteristic
81C22×C5×D4C2311yescharacteristic
82C22×C22⋊D5—21no—
83C23×Dic5—21no—
84C22×C4×D5C2311yescharacteristic
85C22×Dic10—21no—
86C2×C5×Q16—24no—
87C2×C5×Q16—24no—
88C2×C5×Q16C2314yes—
89C2×C5×Q16C2314yes—
90C2×C5×SD16—24no—
91C2×C5×SD16—24no—
92C2×C5×SD16C2314yes—
93C2×C5×SD16C2314yes—
94C22×C5×C8C2311yescharacteristic
95C22×C5×C8C2311yescharacteristic
96C5×C4⋊Q8—22no—
97C5×C4⋊Q8C2314yes—
98C5×#124—22no—
99C5×#124C2314yes—
100C2×C5×C4⋊C4—21no—
101C2×C5×C4⋊C4—21no—
102C2×C5×C22⋊C4—21no—
103C2×C5×C22⋊C4—21no—
104C2×C42×C5C2311yescharacteristic
105C2×C22⋊Dic5—21no—
106C2×C22⋊Dic5—21no—
107#4092—22no—
108#4092—22no—
109#4092—22no—
110#4092C2314yes—
111#4092C2314yes—
112#4092C2314yes—
113Q8×Dic5—22no—
114Q8×Dic5—22no—
115Q8×Dic5—22no—
116Q8×Dic5C2314yes—
117Q8×Dic5C2314yes—
118Q8×Dic5C2314yes—
119#4084—22no—
120#4084C2314yes—
121D4×Dic5—22no—
122D4×Dic5C2314yes—
123C2×#685—21no—
124C2×#685—21no—
125C2×#685—21no—
126C2×#685D411yescharacteristic
127C2×#685D411yescharacteristic
128C2×C4⋊Dic5—21no—
129C2×C4⋊Dic5—21no—
130C2×C4⋊Dic5—21no—
131C2×C4⋊Dic5—21no—
132C2×C4⋊Dic5C2311yescharacteristic
133C2×C4⋊Dic5C2311yescharacteristic
134C2×C4⋊Dic5C2311yescharacteristic
135C2×C4⋊Dic5C2311yescharacteristic
136C2×#683—21no—
137C2×#683—21no—
138C2×#683—21no—
139C2×#683—21no—
140C2×#683—21no—
141C2×#683D411yescharacteristic
142C2×#683D411yescharacteristic
143C2×C4×Dic5—21no—
144C2×C4×Dic5—21no—
145C2×C4×Dic5—21no—
146C2×C4×Dic5C2311yescharacteristic
147C22×#168C2311yescharacteristic
148C22×#168C2311yescharacteristic
149C2×#676—24no—
150C2×#676C2314yes—
151C2×C8×D5—24no—
152C2×C8×D5C2314yes—
153#4044—28no—
154#4044—28no—
155#4035—28no—
156#4035—28no—
157#4032—28no—
158#4031—28no—
159#4025—28no—
160#4024—28no—
161#4018D414yes—
162#4018C2314yes—
163#4016—22no—
164#4016C2314yes—
165#4015—22no—
166#4015C2314yes—
167C5×#97C2314yes—
168#3967C2314yes—
169#3967C2314yes—
170#3967C2314yes—
171#3967C2314yes—
172#3967C2314yes—
173#3967C2314yes—
174#3964C2314yes—
175#3964C2314yes—
176#3950C2314yes—
177#3950C2314yes—
178#3949C2314yes—
179#3949C2314yes—
180#3947C2314yes—
181C8×Dic5C2314yes—
182C4×#168C2314yes—
183C2×#542—51no—
184C2×#541—51no—
185#3178—516no—
186C2×#501—51no—
187C2×#497D511yescharacteristic, complemented
188C2×#488—51no—
189C2×#487—51no—
190C2×#470—51no—
191C2×#468—51no—
192C2×#467—51no—
193C2×#465—51no—
194C2×#441—51no—
195C2×#440—51no—
196C2×C4×Q16—51no—
197C2×C4×SD16—51no—
198C2×#405—51no—
199C24×C5—21no—
200C23×D5C2×D411yescharacteristic
201C2×C5×Q8—21no—
202C2×C5×Q8—21no—
203C2×C5×Q8—21no—
204C2×C5×Q8—22no—
205C2×C5×Q8—22no—
206C2×C5×Q8—22no—
207C2×C5×Q8—22no—
208C2×C5×Q8—22no—
209C2×C5×Q8—22no—
210C2×C5×Q8C2412yes—
211C2×C5×Q8C2412yes—
212C2×C5×Q8C2412yes—
213C2×C5×D4—21no—
214C2×C5×D4—22no—
215C2×C5×D4—22no—
216C2×C5×D4C2412yes—
217C22×C4×C5—21no—
218C22×C4×C5—21no—
219C22×C4×C5—21no—
220C22×C4×C5C2×D411yescharacteristic
221C22×C4×C5C2×D411yescharacteristic
222C22×C4×C5C2411yescharacteristic
223C2×C22⋊D5—24no—
224C2×C22⋊D5—82no—
225C22×Dic5—21no—
226C22×Dic5—21no—
227C22×Dic5—21no—
228C22×Dic5—21no—
229C22×Dic5—24no—
230C22×Dic5—82no—
231C22×Dic5C2×D411yescharacteristic
232C22×Dic5C2×D411yescharacteristic
233C22×Dic5C2×D411yescharacteristic
234C2×C4×D5—22no—
235C2×C4×D5—22no—
236C2×C4×D5C2×D412yes—
237C2×C4×D5C2412yes—
238C2×Dic10—24no—
239C2×Dic10—82no—
240C5×Q16—28no—
241C5×Q16—28no—
242C5×SD16—28no—
243C5×SD16—28no—
244C2×C5×C8#4114yes—
245C2×C5×C8#4114yes—
246C2×C5×C8C2412yes—
247C2×C5×C8C2412yes—
248C5×C4⋊C4—24no—
249C5×C4⋊C4—24no—
250C5×C22⋊C4—24no—
251C5×C22⋊C4—24no—
252C42×C5C2×D412yes—
253C42×C5C2412yes—
254C22⋊Dic5—24no—
255C22⋊Dic5—24no—
256#685—24no—
257#685—24no—
258#685—24no—
259#685C2×D414yes—
260#685C2×D414yes—
261C4⋊Dic5—21no—
262C4⋊Dic5—21no—
263C4⋊Dic5—24no—
264C4⋊Dic5—21no—
265C4⋊Dic5—21no—
266C4⋊Dic5—24no—
267C4⋊Dic5—24no—
268C4⋊Dic5—24no—
269C4⋊Dic5C2412yes—
270C4⋊Dic5C2412yes—
271C4⋊Dic5C2412yes—
272C4⋊Dic5C2412yes—
273#683—24no—
274#683—24no—
275#683—24no—
276#683—24no—
277#683—24no—
278#683C2×D414yes—
279#683C2×D414yes—
280C4×Dic5—24no—
281C4×Dic5—24no—
282C4×Dic5—24no—
283C4×Dic5C2×D412yes—
284C4×Dic5C2412yes—
285C2×#168—22no—
286C2×#168—22no—
287C2×#168C2412yes—
288C2×#168C2412yes—
289#676—28no—
290C8×D5—28no—
291C22×Q16C2×D511yescharacteristic
292C22×Q16C2×D511yescharacteristic
293C22×SD16C2×D511yescharacteristic
294C22×SD16C2×D511yescharacteristic
295C22×M16—51no—
296C23×C8—51no—
297#542—58no—
298#542—104no—
299#541—58no—
300#541—104no—
301C2×C4⋊Q8—51no—
302C2×C4⋊Q8C2×D511yescharacteristic
303C2×#126—101no—
304C2×#126—101no—
305C2×#126—101no—
306C2×#125—51no—
307C2×#125—101no—
308C2×#125—101no—
309C2×#124—101no—
310C2×#124C2×D511yescharacteristic
311C2×#123—101no—
312C2×C22⋊Q8—51no—
313C2×C22⋊Q8—51no—
314C2×C22⋊Q8—51no—
315C2×C22⋊Q8—101no—
316C2×#121—51no—
317C2×C4×Q8—51no—
318C2×C4×Q8—51no—
319C2×C4×Q8—51no—
320C2×C4×D4—51no—
321C2×#117—51no—
322#501—58no—
323#497C2×D518yescomplemented
324#488—58no—
325#487—58no—
326#470—58no—
327#468—58no—
328#467—58no—
329#465—58no—
330#441—58no—
331#440—58no—
332C4×Q16—58no—
333C4×SD16—58no—
334C2×#107—51no—
335C2×#107—51no—
336C2×#106—51no—
337C2×#106—51no—
338C2×#103—51no—
339C2×#103—51no—
340C2×#103—51no—
341C2×#103—51no—
342C2×#103—51no—
343C2×#103—51no—
344C2×#102—51no—
345C2×#102—51no—
346#405—58no—
347C2×#97—51no—
348C2×#97C2×D511yescharacteristic
349C2×C4×C8—51no—
350C2×C4×C8—51no—
351C23×C5—22no—
352C23×C5—42no—
353C23×C5—42no—
354C23×C5—42no—
355C23×C5C22×D411yescharacteristic
356C22×D5—22no—
357C22×D5—22no—
358C22×D5—22no—
359C22×D5C22×D412yes—
360C5×Q8—22no—
361C5×Q8—22no—
362C5×Q8—22no—
363C5×Q8—22no—
364C5×Q8—22no—
365C5×Q8—22no—
366C5×Q8—42no—
367C5×Q8—42no—
368C5×Q8—42no—
369C5×D4—22no—
370C5×D4—22no—
371C5×D4—42no—
372C2×C4×C5—22no—
373C2×C4×C5—22no—
374C2×C4×C5—22no—
375C2×C4×C5—22no—
376C2×C4×C5—22no—
377C2×C4×C5—42no—
378C2×C4×C5—42no—
379C2×C4×C5—42no—
380C2×C4×C5C22×D412yes—
381C2×C4×C5C22×D412yes—
382C2×C4×C5C22×D411yescharacteristic
383C2×C4×C5C2×#4112yes—
384C2×C4×C5C2×#4112yes—
385C2×C4×C5C2511yescharacteristic
386C22⋊D5—84no—
387C2×Dic5—22no—
388C2×Dic5—22no—
389C2×Dic5—22no—
390C2×Dic5—22no—
391C2×Dic5—22no—
392C2×Dic5—22no—
393C2×Dic5—22no—
394C2×Dic5—42no—
395C2×Dic5—42no—
396C2×Dic5—42no—
397C2×Dic5—42no—
398C2×Dic5—84no—
399C2×Dic5C22×D412yes—
400C2×Dic5C22×D412yes—
401C2×Dic5C22×D412yes—
402C4×D5—24no—
403C4×D5—22no—
404C4×D5—22no—
405Dic10—84no—
406C5×C8C2×#4114yes—
407C5×C8C2×#4114yes—
408#168—22no—
409#168—22no—
410C22×Q8—101no—
411C22×Q8C22×D511yescharacteristic
412C22×Q8C22×D511yescharacteristic
413C22×Q8C22×D511yescharacteristic
414C22×D4—101no—
415C22×D4C22×D511yescharacteristic
416C23×C4—51no—
417C23×C4—101no—
418C2×Q16—24no—
419C2×Q16—24no—
420C2×Q16C22×D514yes—
421C2×Q16C22×D514yes—
422C2×SD16—24no—
423C2×SD16—24no—
424C2×SD16C22×D514yes—
425C2×SD16C22×D514yes—
426C2×M16—54no—
427C2×M16—104no—
428C22×C8—51no—
429C22×C8—51no—
430C22×C8—54no—
431C22×C8—104no—
432C22×C8C22×D511yescharacteristic
433C22×C8C22×D511yescharacteristic
434C4⋊Q8—22no—
435C4⋊Q8—54no—
436C4⋊Q8—102no—
437C4⋊Q8C22×D514yes—
438#126—108no—
439#126—108no—
440#126—108no—
441#125—54no—
442#125—108no—
443#125—108no—
444#125—102no—
445#124—22no—
446#124—108no—
447#124C22×D514yes—
448#123—108no—
449C22⋊Q8—54no—
450C22⋊Q8—54no—
451C22⋊Q8—54no—
452C22⋊Q8—108no—
453C22⋊Q8—102no—
454C22⋊Q8—102no—
455C22⋊Q8—102no—
456#121—54no—
457#121—102no—
458C4×Q8—54no—
459C4×Q8—54no—
460C4×Q8—54no—
461C4×Q8—102no—
462C4×Q8—102no—
463C4×Q8—102no—
464C4×D4—54no—
465C4×D4—102no—
466#117—54no—
467#117—54no—
468C2×C4⋊C4—21no—
469C2×C4⋊C4—21no—
470C2×C4⋊C4—51no—
471C2×C4⋊C4—51no—
472C2×C4⋊C4—51no—
473C2×C4⋊C4—51no—
474C2×C4⋊C4—51no—
475C2×C4⋊C4—51no—
476C2×C4⋊C4—101no—
477C2×C4⋊C4—101no—
478C2×C4⋊C4—101no—
479C2×C4⋊C4—101no—
480C2×C4⋊C4—101no—
481C2×C4⋊C4—101no—
482C2×C4⋊C4—101no—
483C2×C4⋊C4—101no—
484C2×C4⋊C4—101no—
485C2×C22⋊C4—21no—
486C2×C22⋊C4—21no—
487C2×C22⋊C4—51no—
488C2×C22⋊C4—51no—
489C2×C22⋊C4—101no—
490C2×C22⋊C4—101no—
491C2×C22⋊C4—101no—
492C2×C22⋊C4—101no—
493C2×C22⋊C4—101no—
494C2×C42—51no—
495C2×C42—101no—
496C2×C42—101no—
497C2×C42—101no—
498C2×C42C22×D511yescharacteristic
499#107—54no—
500#107—54no—
501#106—54no—
502#106—54no—
503#103—54no—
504#103—54no—
505#103—54no—
506#103—54no—
507#103—54no—
508#103—54no—
509#102—54no—
510#102—54no—
511#97—54no—
512#97C22×D514yes—
513C4×C8—54no—
514C4×C8—54no—
515C22×C5—42no—
516C22×C5—42no—
517C22×C5—42no—
518C22×C5—84no—
519C22×C5#53212yes—
520C22×C5#57712yes—
521C22×C5#57812yes—
522C22×C5C23×D411yescharacteristic
523C2×D5—22no—
524C2×D5—22no—
525C2×D5—22no—
526C2×D5—44no—
527C4×C5—22no—
528C4×C5—22no—
529C4×C5—42no—
530C4×C5—42no—
531C4×C5—42no—
532C4×C5#53212yes—
533C4×C5C22×#4111yescharacteristic
534C4×C5C22×#4111yescharacteristic
535Dic5—22no—
536Dic5—22no—
537Dic5—22no—
538Dic5—42no—
539Dic5—42no—
540Dic5—42no—
541Dic5—42no—
542C24—21no—
543C24—51no—
544C2×Q8—21no—
545C2×Q8—21no—
546C2×Q8—21no—
547C2×Q8—22no—
548C2×Q8—22no—
549C2×Q8—22no—
550C2×Q8—22no—
551C2×Q8—22no—
552C2×Q8—22no—
553C2×Q8—104no—
554C2×Q8—402no—
555C2×Q8C23×D512yes—
556C2×Q8C23×D512yes—
557C2×Q8C23×D512yes—
558C2×D4—21no—
559C2×D4—22no—
560C2×D4—22no—
561C2×D4—104no—
562C2×D4—402no—
563C2×D4C23×D512yes—
564C22×C4—21no—
565C22×C4—21no—
566C22×C4—21no—
567C22×C4—51no—
568C22×C4—51no—
569C22×C4—51no—
570C22×C4—52no—
571C22×C4—52no—
572C22×C4—104no—
573C22×C4—102no—
574C22×C4—102no—
575C22×C4—101no—
576C22×C4—101no—
577C22×C4—101no—
578C22×C4—101no—
579C22×C4—402no—
580C22×C4D4×D511yescharacteristic
581C22×C4D4×D511yescharacteristic
582C22×C4C23×D511yescharacteristic
583Q16—28no—
584Q16—28no—
585SD16—28no—
586SD16—28no—
587M16—108no—
588C2×C8—52no—
589C2×C8—52no—
590C2×C8—102no—
591C2×C8—102no—
592C2×C8—108no—
593C2×C8#71114yes—
594C2×C8#71114yes—
595C2×C8C23×D512yes—
596C2×C8C23×D512yes—
597C4⋊C4—24no—
598C4⋊C4—24no—
599C4⋊C4—54no—
600C4⋊C4—54no—
601C4⋊C4—52no—
602C4⋊C4—52no—
603C4⋊C4—52no—
604C4⋊C4—52no—
605C4⋊C4—104no—
606C4⋊C4—104no—
607C4⋊C4—104no—
608C4⋊C4—104no—
609C4⋊C4—104no—
610C4⋊C4—104no—
611C4⋊C4—101no—
612C4⋊C4—101no—
613C4⋊C4—101no—
614C4⋊C4—101no—
615C4⋊C4—104no—
616C4⋊C4—104no—
617C4⋊C4—104no—
618C22⋊C4—24no—
619C22⋊C4—24no—
620C22⋊C4—54no—
621C22⋊C4—54no—
622C22⋊C4—104no—
623C22⋊C4—104no—
624C22⋊C4—104no—
625C22⋊C4—104no—
626C22⋊C4—104no—
627C42—52no—
628C42—52no—
629C42—104no—
630C42—104no—
631C42—104no—
632C42D4×D512yes—
633C42C23×D512yes—
634C2×C5—82no—
635C2×C5#317814yescomplemented
636C2×C5C2×#53211yescharacteristic
637C2×C5C2×#57711yescharacteristic
638C2×C5C2×#57811yescharacteristic
639D5—42no—
640C23—22no—
641C23—42no—
642C23—42no—
643C23—42no—
644C23—52no—
645C23—102no—
646C23—102no—
647C23—102no—
648C23C2×D4×D511yescharacteristic
649Q8—22no—
650Q8—22no—
651Q8—22no—
652Q8—22no—
653Q8—22no—
654Q8—22no—
655Q8—42no—
656Q8—42no—
657Q8—42no—
658Q8—404no—
659D4—22no—
660D4—22no—
661D4—42no—
662D4—404no—
663C2×C4—22no—
664C2×C4—22no—
665C2×C4—22no—
666C2×C4—22no—
667C2×C4—22no—
668C2×C4—42no—
669C2×C4—42no—
670C2×C4—42no—
671C2×C4—52no—
672C2×C4—52no—
673C2×C4—52no—
674C2×C4—102no—
675C2×C4—102no—
676C2×C4—102no—
677C2×C4—104no—
678C2×C4—102no—
679C2×C4—102no—
680C2×C4—102no—
681C2×C4—102no—
682C2×C4—102no—
683C2×C4—102no—
684C2×C4—202no—
685C2×C4—202no—
686C2×C4—202no—
687C2×C4—202no—
688C2×C4—404no—
689C2×C4C2×D4×D512yes—
690C2×C4C2×D4×D512yes—
691C2×C4C2×D4×D511yescharacteristic
692C2×C4C2×#71112yes—
693C2×C4C2×#71112yes—
694C2×C4C24×D511yescharacteristic
695C8—102no—
696C8—102no—
697C8C2×#71114yes—
698C8C2×#71114yes—
699C5C2×#317811yescharacteristic, complemented, Sylow
700C22—42no—
701C22—42no—
702C22—42no—
703C22—84no—
704C22—102no—
705C22—102no—
706C22—102no—
707C22—204no—
708C22#6605012yes—
709C22#6611212yes—
710C22#6611312yes—
711C22C22×D4×D511yescharacteristic
712C4—22no—
713C4—22no—
714C4—42no—
715C4—42no—
716C4—42no—
717C4—102no—
718C4—102no—
719C4—102no—
720C4—202no—
721C4—202no—
722C4—202no—
723C4—202no—
724C4#6605012yes—
725C4C22×#71111yescharacteristic
726C4C22×#71111yescharacteristic
727C2—82no—
728C2—202no—
729C2#1061359314yesdirect product factor
730C2C2×#6605011yescharacteristic
731C2C2×#6611211yescharacteristic
732C2C2×#6611311yescharacteristic
subgroupG/H
centerC23C2×D4×D5
commutator, cosocleC2×C4×C5C25
FrattiniC2×C4C24×D5
FittingC2×C5×#497C2
socleC23×C5C22×D4
prime radicalC2×#4084C22
hypercenterC2×#497D5
hypocenterC5C2×#3178
LCSG ▷ C2×C4×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#497

Complements

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

NH ≅ G/Ntype
1. C2×#66065C2semidirect
3. C2×C5×#497C2semidirect
4. C2×#65478C2semidirect
5. C2×#65477C2semidirect
6. C2×#65473C2semidirect
7. C2×Q16×Dic5C2semidirect
10. C2×#65453C2semidirect
11. C2×SD16×Dic5C2semidirect
12. C2×#65370C2semidirect
13. C2×#65345C2semidirect
14. #10613593C2direct (N × H)
15. C2×#64997C2semidirect
16. C2×#64991C2semidirect
34. #66065C22semidirect
48. C5×#497C22semidirect
58. #65478C22semidirect
59. #65477C22semidirect
60. #65473C22semidirect
61. Q16×Dic5C22semidirect
64. #65453C22semidirect
65. SD16×Dic5C22semidirect
72. #65370C22semidirect
73. #65345C22semidirect
75. #64997C22semidirect
76. #64991C22semidirect
187. C2×#497D5semidirect
323. #497C2×D5semidirect
635. C2×C5#3178semidirect
699. C5C2×#3178semidirect
729. C2#10613593direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#660652
C2×#660162
C2×C5×#4972
C2×#654782
C2×#654772
C2×#654732
C2×Q16×Dic52
C2×#654632
C2×#654602
C2×#654532
C2×SD16×Dic52
C2×#653702
C2×#653452
#106135932
C2×#649972
C2×#649912
C2×#31785