Finite Group Databasebeta

← C2×#10611388 #12967559

Subgroups — C2×#10611388 #12967559

Order 1280.

2070 conjugacy classes of subgroups.

The subgroup lattice has 744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#65917C211yesmaximal, characteristic, complemented
2C2×#65880C211yesmaximal, characteristic
3C2×C4×C5×SD16C211yesmaximal, characteristic, complemented
4C2×#65462C211yesmaximal, characteristic
5C2×#65451C211yesmaximal, characteristic, complemented
6C2×#65319C211yesmaximal, characteristic, complemented
7C2×#65307C211yesmaximal, characteristic, complemented
8#10611388C2116yesmaximal, direct product factor
9C2×#65146C211yesmaximal, characteristic, complemented
10C2×#65151C211yesmaximal, characteristic, complemented
11C2×#65082C211yesmaximal, characteristic, complemented
12C2×#65098C211yesmaximal, characteristic, complemented
13C2×#65072C211yesmaximal, characteristic
14C2×#65055C211yesmaximal, characteristic, complemented
15C2×C4×Dic20C211yesmaximal, characteristic, complemented
16C2×#64979C211yesmaximal, characteristic, complemented
17C22×#711C2211yescharacteristic
18C22×C5×SD16C2211yescharacteristic
19C2×C4×C5×Q8C2211yescharacteristic
20C2×C4×C5×D4C2211yescharacteristic
21C2×#4092C2211yescharacteristic
22C2×#4090C2211yescharacteristic
23C22×#689C2211yescharacteristic
24C2×D4×Dic5C2211yescharacteristic
25C22×#687C2211yescharacteristic
26C2×C4×C22⋊D5—21no—
27C22×#683—21no—
28C22×Dic20C2211yescharacteristic
29#65917—24no—
30#65917C2218yescomplemented
31#65880—24no—
32#65880C2218yes—
33C2×#4044—21no—
34C2×#4043C2211yescharacteristic
35C2×D5×C4⋊C4C2211yescharacteristic
36C2×#4036C2211yescharacteristic
37C2×#4035—21no—
38C2×#4033C2211yescharacteristic
39C2×#4027—21no—
40C2×#4023—21no—
41C2×#4022—21no—
42C2×#4018C2211yescharacteristic
43C2×#4016—21no—
44C2×C4×Dic10C2211yescharacteristic
45C2×C4×Dic10C2211yescharacteristic
46C4×C5×SD16C2218yescomplemented
47C2×C5×#106C2211yescharacteristic
48C2×C5×#103C2211yescharacteristic
49C2×C5×#102C2211yescharacteristic
50C2×C4×C5×C8C2211yescharacteristic
51C2×#3967C2211yescharacteristic
52C2×#3964C2211yescharacteristic
53#65462C2218yes—
54#65451C2218yescomplemented
55C2×#3952C2211yescharacteristic
56C2×#3952C2211yescharacteristic
57C2×#3950C2211yescharacteristic
58C2×#3948C2211yescharacteristic
59C2×#3948C2211yescharacteristic
60C2×#3946C2211yescharacteristic
61C2×#3946C2211yescharacteristic
62#65319C2218yescomplemented
63#65307C2218yescomplemented
64C2×#3942C2211yescharacteristic
65C2×#3942C2211yescharacteristic
66C2×#3940C2211yescharacteristic
67C2×#3939C2211yescharacteristic
68C2×#3935C2211yescharacteristic
69#65151C2218yescomplemented
70#65146C2218yescomplemented
71#65098C2218yescomplemented
72#65082C2218yescomplemented
73#65072C2218yes—
74#65055C2218yescomplemented
75C4×Dic20C2218yescomplemented
76#64979C2218yescomplemented
77C2×#3120—51nomaximal, Sylow
78C22×C5×Q8C2311yescharacteristic
79C22×C5×D4C2311yescharacteristic
80C23×C4×C5—21no—
81C22×C22⋊D5—21no—
82C23×Dic5—21no—
83C23×Dic5—21no—
84C2×#711—24no—
85C2×#711—22no—
86C2×#711—24no—
87C2×#711C2314yes—
88C22×C4×D5—21no—
89C22×C4×D5C2311yescharacteristic
90C22×Dic10C2311yescharacteristic
91C22×Dic10C2311yescharacteristic
92C2×C5×SD16—24no—
93C2×C5×SD16C2314yes—
94C22×C5×C8C2311yescharacteristic
95C22×C5×C8C2311yescharacteristic
96C4×C5×Q8—22no—
97C4×C5×Q8C2314yes—
98C4×C5×D4—22no—
99C4×C5×D4C2314yes—
100C2×C5×C4⋊C4—21no—
101C2×C5×C4⋊C4C2311yescharacteristic
102C2×C5×C4⋊C4C2311yescharacteristic
103C2×C5×C22⋊C4—21no—
104C2×C42×C5—21no—
105C2×C42×C5C2311yescharacteristic
106C2×C22⋊Dic5—21no—
107#4092—22no—
108#4092C2314yes—
109#4090—22no—
110#4090C2314yes—
111C2×#689—24no—
112C2×#689C2314yes—
113D4×Dic5—22no—
114D4×Dic5C2314yes—
115C2×#687—24no—
116C2×#687C2314yes—
117C4×C22⋊D5—28no—
118C2×#685—21no—
119C2×#685—21no—
120C2×#685D411yescharacteristic
121C2×#685D411yescharacteristic
122C2×C4⋊Dic5—21no—
123C2×C4⋊Dic5—21no—
124C2×C4⋊Dic5C2311yescharacteristic
125C2×C4⋊Dic5C2311yescharacteristic
126C2×#683—21no—
127C2×#683—21no—
128C2×#683—21no—
129C2×#683—21no—
130C2×#683—21no—
131C2×#683—21no—
132C2×#683—21no—
133C2×#683—21no—
134C2×#683—28no—
135C2×#683D411yescharacteristic
136C2×#683D411yescharacteristic
137C2×C4×Dic5—21no—
138C2×C4×Dic5—21no—
139C2×C4×Dic5—21no—
140C2×C4×Dic5C2311yescharacteristic
141C22×#168C2311yescharacteristic
142C22×#168C2311yescharacteristic
143C2×Dic20—24no—
144C2×Dic20C2314yes—
145#4044—28no—
146#4043—22no—
147#4043C2314yes—
148D5×C4⋊C4—22no—
149D5×C4⋊C4C2314yes—
150#4036—22no—
151#4036C2314yes—
152#4035—28no—
153#4033—22no—
154#4033C2314yes—
155#4027—28no—
156#4023—28no—
157#4022—28no—
158#4018D414yes—
159#4018C2314yes—
160#4016—28no—
161C4×Dic10—22no—
162C4×Dic10—22no—
163C4×Dic10C2314yes—
164C4×Dic10C2314yes—
165C5×#106C2314yes—
166C5×#103C2314yes—
167C5×#102C2314yes—
168C4×C5×C8C2314yes—
169#3967C2314yes—
170#3964C2314yes—
171#3952C2314yes—
172#3952C2314yes—
173#3950C2314yes—
174#3948C2314yes—
175#3948C2314yes—
176#3946C2314yes—
177#3946C2314yes—
178#3942C2314yes—
179#3942C2314yes—
180#3940C2314yes—
181#3939C2314yes—
182#3935C2314yes—
183C2×#541—51no—
184C2×#520—51no—
185#3120—516no—
186C2×#484—51no—
187C2×#483—51no—
188C2×#479—51no—
189C2×#478—51no—
190C2×#462—51no—
191C2×#461—51no—
192C2×#452—51no—
193C2×#452—51no—
194C2×#441—51no—
195C2×#440—51no—
196C2×C4×Q16—51no—
197C2×C4×SD16D511yescharacteristic, complemented
198C2×#433—51no—
199C24×C5—21no—
200C23×D5C2×D411yescharacteristic
201C2×C5×Q8—21no—
202C2×C5×Q8—22no—
203C2×C5×Q8—22no—
204C2×C5×Q8C2412yes—
205C2×C5×D4—21no—
206C2×C5×D4—22no—
207C2×C5×D4#4114yes—
208C2×C5×D4C2412yes—
209C22×C4×C5—21no—
210C22×C4×C5—21no—
211C22×C4×C5—21no—
212C22×C4×C5—24no—
213C22×C4×C5—82no—
214C22×C4×C5C2×D411yescharacteristic
215C22×C4×C5C2×D411yescharacteristic
216C22×C4×C5C2411yescharacteristic
217C2×C22⋊D5—28no—
218C2×C22⋊D5—24no—
219C22×Dic5—28no—
220C22×Dic5—21no—
221C22×Dic5—24no—
222C22×Dic5—21no—
223C22×Dic5—21no—
224C22×Dic5—21no—
225C22×Dic5—24no—
226C22×Dic5—82no—
227C22×Dic5C2×D411yescharacteristic
228C22×Dic5C2×D411yescharacteristic
229C22×Dic5C2×D411yescharacteristic
230#711—216no—
231#711—28no—
232#711—28no—
233C2×C4×D5—22no—
234C2×C4×D5—22no—
235C2×C4×D5—24no—
236C2×C4×D5—82no—
237C2×C4×D5C2×D412yes—
238C2×C4×D5C2412yes—
239C2×Dic10—21no—
240C2×Dic10—22no—
241C2×Dic10—22no—
242C2×Dic10—22no—
243C2×Dic10—21no—
244C2×Dic10#4114yes—
245C2×Dic10C2412yes—
246C2×Dic10C2412yes—
247C5×SD16—28no—
248C2×C5×C8—22no—
249C2×C5×C8—22no—
250C2×C5×C8C2412yes—
251C2×C5×C8C2412yes—
252C5×C4⋊C4—24no—
253C5×C4⋊C4—21no—
254C5×C4⋊C4—21no—
255C5×C4⋊C4C2412yes—
256C5×C4⋊C4C2412yes—
257C5×C22⋊C4—24no—
258C42×C5—24no—
259C42×C5C2×D412yes—
260C42×C5C2412yes—
261C22⋊Dic5—24no—
262#689—28no—
263#687—28no—
264#685—24no—
265#685—24no—
266#685C2×D414yes—
267#685C2×D414yes—
268C4⋊Dic5—21no—
269C4⋊Dic5—21no—
270C4⋊Dic5—24no—
271C4⋊Dic5—24no—
272C4⋊Dic5C2412yes—
273C4⋊Dic5C2412yes—
274#683—24no—
275#683—24no—
276#683—24no—
277#683—24no—
278#683—24no—
279#683—24no—
280#683—24no—
281#683—24no—
282#683C2×D414yes—
283#683C2×D414yes—
284C4×Dic5—24no—
285C4×Dic5—24no—
286C4×Dic5—24no—
287C4×Dic5C2×D412yes—
288C4×Dic5C2412yes—
289C2×#168—22no—
290C2×#168—22no—
291C2×#168C2412yes—
292C2×#168C2412yes—
293Dic20—28no—
294C22×#41—51no—
295C22×Q16—51no—
296C22×Q16—51no—
297C22×SD16—51no—
298C22×SD16C2×D511yescharacteristic
299#541—58no—
300#541—104no—
301C2×C4⋊Q8—51no—
302C2×#126—101no—
303C2×#126—101no—
304C2×#125—51no—
305C2×#125—101no—
306C2×#125—101no—
307C2×C22⋊Q8—51no—
308C2×C22⋊Q8—51no—
309#520—58no—
310#520—104no—
311C2×C4×Q8—51no—
312C2×C4×Q8—51no—
313C2×C4×Q8—51no—
314C2×C4×Q8C2×D511yescharacteristic
315C2×C4×D4—51no—
316C2×C4×D4—101no—
317C2×C4×D4—101no—
318C2×C4×D4C2×D511yescharacteristic
319C2×#117—51no—
320C2×#117—101no—
321C22×C4⋊C4—51no—
322C22×C4⋊C4—101no—
323#484—58no—
324#483—58no—
325#479—58no—
326#478—58no—
327#462—58no—
328#461—58no—
329#452—58no—
330#452—58no—
331#441—58no—
332#440—58no—
333C4×Q16—58no—
334C4×SD16C2×D518yescomplemented
335#433—58no—
336C2×#107—51no—
337C2×#107—51no—
338C2×#106—51no—
339C2×#106C2×D511yescharacteristic
340C2×C4⋊C8—51no—
341C2×C4⋊C8—51no—
342C2×#103—51no—
343C2×#103—51no—
344C2×#103—51no—
345C2×#103—51no—
346C2×#103—51no—
347C2×#103C2×D511yescharacteristic
348C2×#102—51no—
349C2×#102C2×D511yescharacteristic
350C2×C22⋊C8—51no—
351C2×C22⋊C8—51no—
352C2×#97—51no—
353C2×C4×C8C2×D511yescharacteristic
354C23×C5—24no—
355C23×C5—22no—
356C23×C5—42no—
357C23×C5—42no—
358C23×C5C22×D411yescharacteristic
359C22×D5—22no—
360C22×D5—22no—
361C22×D5—22no—
362C22×D5C22×D412yes—
363C5×Q8—22no—
364C5×Q8—22no—
365C5×Q8—42no—
366C5×D4—24no—
367C5×D4—22no—
368C5×D4C2×#4114yes—
369C2×C4×C5—22no—
370C2×C4×C5—22no—
371C2×C4×C5—22no—
372C2×C4×C5—22no—
373C2×C4×C5—22no—
374C2×C4×C5—42no—
375C2×C4×C5—42no—
376C2×C4×C5—42no—
377C2×C4×C5—84no—
378C2×C4×C5C22×D412yes—
379C2×C4×C5C22×D412yes—
380C2×C4×C5C22×D411yescharacteristic
381C2×C4×C5C2×#4112yes—
382C2×C4×C5C2×#4112yes—
383C2×C4×C5C2511yescharacteristic
384C22⋊D5—216no—
385C2×Dic5—216no—
386C2×Dic5—24no—
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—84no—
398C2×Dic5C22×D412yes—
399C2×Dic5C22×D412yes—
400C2×Dic5C22×D412yes—
401C4×D5—24no—
402C4×D5—22no—
403C4×D5—22no—
404C4×D5—84no—
405Dic10—24no—
406Dic10—22no—
407Dic10—22no—
408Dic10—22no—
409Dic10—42no—
410Dic10C2×#4114yes—
411C5×C8—22no—
412C5×C8—22no—
413#168—22no—
414#168—22no—
415C2×#41—54no—
416C2×#41—102no—
417C2×#41—104no—
418C2×#41—104no—
419C22×Q8—51no—
420C22×Q8—51no—
421C22×Q8C22×D511yescharacteristic
422C22×D4—101no—
423C22×D4C22×D511yescharacteristic
424C23×C4—21no—
425C23×C4—51no—
426C23×C4—101no—
427C23×C4—101no—
428C23×C4—101no—
429C2×Q16—54no—
430C2×Q16—54no—
431C2×Q16—104no—
432C2×Q16—104no—
433C2×SD16—24no—
434C2×SD16—54no—
435C2×SD16—104no—
436C2×SD16C22×D514yes—
437C22×C8—51no—
438C22×C8—51no—
439C22×C8C22×D511yescharacteristic
440C22×C8C22×D511yescharacteristic
441C4⋊Q8—54no—
442C4⋊Q8—102no—
443#126—108no—
444#126—108no—
445#125—54no—
446#125—108no—
447#125—102no—
448#125—108no—
449C22⋊Q8—54no—
450C22⋊Q8—54no—
451C22⋊Q8—102no—
452C22⋊Q8—102no—
453C4×Q8—22no—
454C4×Q8—54no—
455C4×Q8—54no—
456C4×Q8—54no—
457C4×Q8—102no—
458C4×Q8—102no—
459C4×Q8—102no—
460C4×Q8C22×D514yes—
461C4×D4—22no—
462C4×D4—54no—
463C4×D4—102no—
464C4×D4—108no—
465C4×D4—108no—
466C4×D4C22×D514yes—
467#117—54no—
468#117—54no—
469#117—108no—
470C2×C4⋊C4—21no—
471C2×C4⋊C4—51no—
472C2×C4⋊C4—51no—
473C2×C4⋊C4—51no—
474C2×C4⋊C4—51no—
475C2×C4⋊C4—54no—
476C2×C4⋊C4—102no—
477C2×C4⋊C4—108no—
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×C4⋊C4—101no—
486C2×C4⋊C4—101no—
487C2×C4⋊C4—101no—
488C2×C4⋊C4C22×D511yescharacteristic
489C2×C4⋊C4C22×D511yescharacteristic
490C2×C22⋊C4—21no—
491C2×C22⋊C4—51no—
492C2×C22⋊C4—51no—
493C2×C22⋊C4—101no—
494C2×C22⋊C4—101no—
495C2×C22⋊C4—101no—
496C2×C42—21no—
497C2×C42—51no—
498C2×C42—101no—
499C2×C42—101no—
500C2×C42—101no—
501C2×C42C22×D511yescharacteristic
502#107—54no—
503#107—54no—
504#106—54no—
505#106C22×D514yes—
506C4⋊C8—54no—
507C4⋊C8—54no—
508#103—54no—
509#103—54no—
510#103—54no—
511#103—54no—
512#103—54no—
513#103C22×D514yes—
514#102—54no—
515#102C22×D514yes—
516C22⋊C8—54no—
517C22⋊C8—54no—
518#97—54no—
519C4×C8C22×D514yes—
520C22×C5—24no—
521C22×C5—48no—
522C22×C5—42no—
523C22×C5—42no—
524C22×C5#52512yes—
525C22×C5#57712yes—
526C22×C5#57812yes—
527C22×C5C23×D411yescharacteristic
528C2×D5—22no—
529C2×D5—22no—
530C2×D5—22no—
531C2×D5—44no—
532C4×C5—22no—
533C4×C5—22no—
534C4×C5—42no—
535C4×C5—42no—
536C4×C5—42no—
537C4×C5#52512yes—
538C4×C5C22×#4111yescharacteristic
539C4×C5C22×#4111yescharacteristic
540Dic5—24no—
541Dic5—22no—
542Dic5—22no—
543Dic5—22no—
544Dic5—42no—
545Dic5—42no—
546Dic5—42no—
547C24—21no—
548C24—51no—
549#41—108no—
550#41—1016no—
551#41—108no—
552C2×Q8—21no—
553C2×Q8—22no—
554C2×Q8—22no—
555C2×Q8—54no—
556C2×Q8—52no—
557C2×Q8—52no—
558C2×Q8—102no—
559C2×Q8—101no—
560C2×Q8—101no—
561C2×Q8—102no—
562C2×Q8—102no—
563C2×Q8C23×D512yes—
564C2×D4—21no—
565C2×D4—22no—
566C2×D4—104no—
567C2×D4—108no—
568C2×D4#70914yes—
569C2×D4C23×D512yes—
570C22×C4—21no—
571C22×C4—21no—
572C22×C4—21no—
573C22×C4—24no—
574C22×C4—51no—
575C22×C4—51no—
576C22×C4—51no—
577C22×C4—52no—
578C22×C4—52no—
579C22×C4—82no—
580C22×C4—104no—
581C22×C4—104no—
582C22×C4—104no—
583C22×C4—108no—
584C22×C4—101no—
585C22×C4—102no—
586C22×C4—102no—
587C22×C4—101no—
588C22×C4—101no—
589C22×C4—101no—
590C22×C4—402no—
591C22×C4—402no—
592C22×C4D4×D511yescharacteristic
593C22×C4D4×D511yescharacteristic
594C22×C4C23×D511yescharacteristic
595Q16—108no—
596Q16—108no—
597SD16—28no—
598SD16—108no—
599C2×C8—22no—
600C2×C8—22no—
601C2×C8—52no—
602C2×C8—52no—
603C2×C8—102no—
604C2×C8—102no—
605C2×C8C23×D512yes—
606C2×C8C23×D512yes—
607C4⋊C4—24no—
608C4⋊C4—21no—
609C4⋊C4—21no—
610C4⋊C4—54no—
611C4⋊C4—54no—
612C4⋊C4—52no—
613C4⋊C4—52no—
614C4⋊C4—104no—
615C4⋊C4—104no—
616C4⋊C4—104no—
617C4⋊C4—104no—
618C4⋊C4—104no—
619C4⋊C4—104no—
620C4⋊C4—104no—
621C4⋊C4—104no—
622C4⋊C4—101no—
623C4⋊C4—101no—
624C4⋊C4—104no—
625C4⋊C4—104no—
626C4⋊C4C23×D512yes—
627C4⋊C4C23×D512yes—
628C22⋊C4—24no—
629C22⋊C4—54no—
630C22⋊C4—54no—
631C22⋊C4—104no—
632C22⋊C4—104no—
633C22⋊C4—104no—
634C42—24no—
635C42—52no—
636C42—52no—
637C42—104no—
638C42—104no—
639C42—104no—
640C42D4×D512yes—
641C42C23×D512yes—
642C2×C5—44no—
643C2×C5#312014yescomplemented
644C2×C5C2×#52511yescharacteristic
645C2×C5C2×#57711yescharacteristic
646C2×C5C2×#57811yescharacteristic
647D5—42no—
648C23—24no—
649C23—22no—
650C23—42no—
651C23—42no—
652C23—52no—
653C23—102no—
654C23—102no—
655C23—102no—
656C23C2×D4×D511yescharacteristic
657Q8—22no—
658Q8—22no—
659Q8—42no—
660Q8—54no—
661Q8—104no—
662Q8—102no—
663Q8—102no—
664Q8—102no—
665Q8—202no—
666D4—24no—
667D4—22no—
668D4—1016no—
669D4C2×#70914yes—
670C2×C4—22no—
671C2×C4—22no—
672C2×C4—22no—
673C2×C4—22no—
674C2×C4—22no—
675C2×C4—42no—
676C2×C4—42no—
677C2×C4—42no—
678C2×C4—52no—
679C2×C4—52no—
680C2×C4—52no—
681C2×C4—84no—
682C2×C4—1016no—
683C2×C4—102no—
684C2×C4—102no—
685C2×C4—102no—
686C2×C4—104no—
687C2×C4—102no—
688C2×C4—104no—
689C2×C4—102no—
690C2×C4—102no—
691C2×C4—102no—
692C2×C4—102no—
693C2×C4—102no—
694C2×C4—202no—
695C2×C4—202no—
696C2×C4—202no—
697C2×C4—404no—
698C2×C4—404no—
699C2×C4C2×#70912yes—
700C2×C4C2×D4×D512yes—
701C2×C4C2×D4×D512yes—
702C2×C4C2×D4×D511yescharacteristic
703C2×C4D5×#4112yes—
704C2×C4C24×D511yescharacteristic
705C8—22no—
706C8—22no—
707C8—102no—
708C8—102no—
709C5C2×#312011yescharacteristic, complemented, Sylow
710C22—24no—
711C22—48no—
712C22—42no—
713C22—42no—
714C22—102no—
715C22—102no—
716C22—102no—
717C22—204no—
718C22#6588112yes—
719C22#6609612yes—
720C22#6610512yes—
721C22C22×D4×D511yescharacteristic
722C4—22no—
723C4—22no—
724C4—42no—
725C4—42no—
726C4—42no—
727C4—102no—
728C4—104no—
729C4—102no—
730C4—102no—
731C4—202no—
732C4—202no—
733C4—202no—
734C4#6588112yes—
735C4C22×#70911yescharacteristic
736C4C2×D5×#4111yescharacteristic
737C2—44no—
738C2—202no—
739C2#1061138814yesdirect product factor
740C2C2×#6588111yescharacteristic
741C2C2×#6609611yescharacteristic
742C2C2×#6610511yescharacteristic
subgroupG/H
centerC23C2×D4×D5
commutator, cosocleC2×C4×C5C25
FrattiniC2×C4C24×D5
FittingC2×C4×C5×SD16C2
socleC23×C5C22×D4
prime radicalC22×#711C22
hypercenterC2×C4×SD16D5
hypocenterC5C2×#3120
LCSG ▷ C2×C4×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×C4×SD16

Complements

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

NH ≅ G/Ntype
1. C2×#65917C2semidirect
3. C2×C4×C5×SD16C2semidirect
5. C2×#65451C2semidirect
6. C2×#65319C2semidirect
7. C2×#65307C2semidirect
8. #10611388C2direct (N × H)
9. C2×#65146C2semidirect
10. C2×#65151C2semidirect
11. C2×#65082C2semidirect
12. C2×#65098C2semidirect
14. C2×#65055C2semidirect
15. C2×C4×Dic20C2semidirect
16. C2×#64979C2semidirect
30. #65917C22semidirect
46. C4×C5×SD16C22semidirect
54. #65451C22semidirect
62. #65319C22semidirect
63. #65307C22semidirect
69. #65151C22semidirect
70. #65146C22semidirect
71. #65098C22semidirect
72. #65082C22semidirect
74. #65055C22semidirect
75. C4×Dic20C22semidirect
76. #64979C22semidirect
197. C2×C4×SD16D5semidirect
334. C4×SD16C2×D5semidirect
643. C2×C5#3120semidirect
709. C5C2×#3120semidirect
739. C2#10611388direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#659172
C2×#658802
C2×C4×C5×SD162
C2×#654622
C2×#654512
C2×#653192
C2×#653072
#106113882
C2×#651462
C2×#651512
C2×#650822
C2×#650982
C2×#650722
C2×#650552
C2×C4×Dic202
C2×#649792
C2×#31205