Finite Group Databasebeta

← C2×#10611420 #12977752

Subgroups — C2×#10611420 #12977752

Order 1280.

1930 conjugacy classes of subgroups.

The subgroup lattice has 736 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#65915C211yesmaximal, characteristic, complemented
2C2×#65892C211yesmaximal, characteristic
3C2×C4×C5×SD16C211yesmaximal, characteristic, complemented
4C2×#65460C211yesmaximal, characteristic, complemented
5C2×#65460C211yesmaximal, characteristic, complemented
6C2×#65311C211yesmaximal, characteristic, complemented
7C2×#65298C211yesmaximal, characteristic, complemented
8#10611420C2116yesmaximal, direct product factor
9C2×#65149C211yesmaximal, characteristic, complemented
10C2×D5×#106C211yesmaximal, characteristic, complemented
11C2×#65098C211yesmaximal, characteristic, complemented
12C2×#65103C211yesmaximal, characteristic, complemented
13C2×#65073C211yesmaximal, characteristic, complemented
14C2×#65063C211yesmaximal, characteristic, complemented
15C2×C8×D20C211yesmaximal, characteristic, complemented
16C2×#64972C211yesmaximal, characteristic, complemented
17C22×C5×SD16C2211yescharacteristic
18C2×C4×C5×Q8C2211yescharacteristic
19C2×C4×C5×D4C2211yescharacteristic
20C2×#4092C2211yescharacteristic
21C2×#4092C2211yescharacteristic
22C2×#4084C2211yescharacteristic
23C2×#4084C2211yescharacteristic
24C2×#4075—21no—
25C2×C4×C22⋊D5—21no—
26C22×C8×D5C2211yescharacteristic
27C22×C8×D5C2211yescharacteristic
28#65915—24no—
29#65915C2218yescomplemented
30#65892—24no—
31#65892C2218yes—
32C2×#4040—21no—
33C2×#4038C2211yescharacteristic
34C2×#4038C2211yescharacteristic
35C2×D5×C4⋊C4C2211yescharacteristic
36C2×D5×C4⋊C4C2211yescharacteristic
37C2×#4035—21no—
38C2×#4030—21no—
39C2×#4025—21no—
40C2×#4022—21no—
41C2×C4×D20C2211yescharacteristic
42C2×#4018—21no—
43C2×#4016C2211yescharacteristic
44C2×#4016C2211yescharacteristic
45C4×C5×SD16C2218yescomplemented
46C2×C5×#106C2211yescharacteristic
47C2×C5×#103C2211yescharacteristic
48C2×C5×#102C2211yescharacteristic
49C2×C4×C5×C8C2211yescharacteristic
50C2×#3967C2211yescharacteristic
51C2×#3967C2211yescharacteristic
52C2×#3964C2211yescharacteristic
53C2×#3964C2211yescharacteristic
54#65460C2218yescomplemented
55#65460C2218yescomplemented
56C2×#3952C2211yescharacteristic
57C2×#3952C2211yescharacteristic
58C2×#3950C2211yescharacteristic
59C2×#3950C2211yescharacteristic
60C2×#3949C2211yescharacteristic
61C2×#3949C2211yescharacteristic
62#65311C2218yescomplemented
63#65298C2218yescomplemented
64C2×#3940C2211yescharacteristic
65C2×#3940C2211yescharacteristic
66C2×#3939C2211yescharacteristic
67C2×#3939C2211yescharacteristic
68C2×C4⋊#168C2211yescharacteristic
69#65149C2218yescomplemented
70D5×#106C2218yescomplemented
71#65103C2218yescomplemented
72#65098C2218yescomplemented
73#65073C2218yescomplemented
74#65063C2218yescomplemented
75C8×D20C2218yescomplemented
76#64972C2218yescomplemented
77C2×#3337—51nomaximal, Sylow
78C22×C5×Q8C2311yescharacteristic
79C22×C5×D4C2311yescharacteristic
80C23×C4×C5—21no—
81C22×C22⋊D5—21no—
82C22×C22⋊D5—21no—
83C22×D20D411yescharacteristic
84C22×C4×D5—21no—
85C22×C4×D5—21no—
86C22×C4×D5C2311yescharacteristic
87C22×C4×D5C2311yescharacteristic
88C2×C5×SD16—24no—
89C2×C5×SD16C2314yes—
90C22×C5×C8C2311yescharacteristic
91C22×C5×C8C2311yescharacteristic
92C4×C5×Q8—22no—
93C4×C5×Q8C2314yes—
94C4×C5×D4—22no—
95C4×C5×D4C2314yes—
96C2×C5×C4⋊C4—21no—
97C2×C5×C4⋊C4C2311yescharacteristic
98C2×C5×C4⋊C4C2311yescharacteristic
99C2×C5×C22⋊C4—21no—
100C2×C42×C5—21no—
101C2×C42×C5C2311yescharacteristic
102C2×C22⋊Dic5—21no—
103C2×C22⋊Dic5—21no—
104#4092—22no—
105#4092—22no—
106#4092C2314yes—
107#4092C2314yes—
108#4084—22no—
109#4084—22no—
110#4084C2314yes—
111#4084C2314yes—
112#4075—28no—
113C4×C22⋊D5—28no—
114C2×#685—21no—
115C2×#685—21no—
116C2×#685—21no—
117C2×#685—21no—
118C2×#685D411yescharacteristic
119C2×#685D411yescharacteristic
120C2×C4⋊Dic5D411yescharacteristic
121C2×C4⋊Dic5C2311yescharacteristic
122C2×C4⋊Dic5C2311yescharacteristic
123C2×C4⋊Dic5C2311yescharacteristic
124C2×C4⋊Dic5C2311yescharacteristic
125C2×#683—21no—
126C2×#683—21no—
127C2×#683—21no—
128C2×#683—21no—
129C2×#683—21no—
130C2×#683—21no—
131C2×#683—21no—
132C2×#683—21no—
133C2×C4×Dic5—21no—
134C2×C4×Dic5—21no—
135C22×#168C2311yescharacteristic
136C22×#168C2311yescharacteristic
137C2×C8×D5—24no—
138C2×C8×D5—24no—
139C2×C8×D5C2314yes—
140C2×C8×D5C2314yes—
141#4040—28no—
142#4038—22no—
143#4038—22no—
144#4038C2314yes—
145#4038C2314yes—
146D5×C4⋊C4—22no—
147D5×C4⋊C4—22no—
148D5×C4⋊C4C2314yes—
149D5×C4⋊C4C2314yes—
150#4035—28no—
151#4030—28no—
152#4025—28no—
153#4022—28no—
154C4×D20D414yes—
155C4×D20C2314yes—
156#4018—28no—
157#4016—22no—
158#4016—22no—
159#4016C2314yes—
160#4016C2314yes—
161C5×#106C2314yes—
162C5×#103C2314yes—
163C5×#102C2314yes—
164C4×C5×C8C2314yes—
165#3967C2314yes—
166#3967C2314yes—
167#3964C2314yes—
168#3964C2314yes—
169#3952C2314yes—
170#3952C2314yes—
171#3950C2314yes—
172#3950C2314yes—
173#3949C2314yes—
174#3949C2314yes—
175#3940C2314yes—
176#3940C2314yes—
177#3939C2314yes—
178#3939C2314yes—
179C4⋊#168C2314yes—
180C2×#553—51no—
181C2×#552—51no—
182#3337—516no—
183C2×#499—51no—
184C2×#484—51no—
185C2×#485—51no—
186C2×#482—51no—
187C2×#480—51no—
188C2×#479—51no—
189C2×#478—51no—
190C2×#465—51no—
191C2×#465—51no—
192C2×C4×SD16D511yescharacteristic, complemented
193C2×C8×D4—51no—
194C2×#427—51no—
195C22×#106—51no—
196C24×C5—21no—
197C23×D5C2×D411yescharacteristic
198C23×D5C2×D411yescharacteristic
199C2×C5×Q8—21no—
200C2×C5×Q8—22no—
201C2×C5×Q8—22no—
202C2×C5×Q8C2412yes—
203C2×C5×D4—21no—
204C2×C5×D4—22no—
205C2×C5×D4—22no—
206C2×C5×D4C2412yes—
207C22×C4×C5—21no—
208C22×C4×C5—21no—
209C22×C4×C5—21no—
210C22×C4×C5—24no—
211C22×C4×C5—82no—
212C22×C4×C5C2×D411yescharacteristic
213C22×C4×C5C2×D411yescharacteristic
214C22×C4×C5C2411yescharacteristic
215C2×C22⋊D5—24no—
216C2×C22⋊D5—24no—
217C2×C22⋊D5—44no—
218C2×C22⋊D5—82no—
219C22×Dic5—21no—
220C22×Dic5—21no—
221C22×Dic5—21no—
222C22×Dic5—21no—
223C22×Dic5C2×D411yescharacteristic
224C22×Dic5C2×D411yescharacteristic
225C2×D20—24no—
226C2×D20C2×D414yes—
227C2×C4×D5—22no—
228C2×C4×D5—22no—
229C2×C4×D5—22no—
230C2×C4×D5—22no—
231C2×C4×D5—24no—
232C2×C4×D5—24no—
233C2×C4×D5—44no—
234C2×C4×D5—82no—
235C2×C4×D5C2×D412yes—
236C2×C4×D5C2×D412yes—
237C2×C4×D5C2412yes—
238C2×C4×D5C2412yes—
239C5×SD16—28no—
240C2×C5×C8—22no—
241C2×C5×C8#4114yes—
242C2×C5×C8C2412yes—
243C2×C5×C8C2412yes—
244C5×C4⋊C4—24no—
245C5×C4⋊C4—21no—
246C5×C4⋊C4—21no—
247C5×C4⋊C4C2412yes—
248C5×C4⋊C4C2412yes—
249C5×C22⋊C4—24no—
250C42×C5—24no—
251C42×C5C2×D412yes—
252C42×C5C2412yes—
253C22⋊Dic5—24no—
254C22⋊Dic5—24no—
255#685—24no—
256#685—24no—
257#685—24no—
258#685—24no—
259#685C2×D414yes—
260#685C2×D414yes—
261C4⋊Dic5—21no—
262C4⋊Dic5—21no—
263C4⋊Dic5—21no—
264C4⋊Dic5—21no—
265C4⋊Dic5C2×D414yes—
266C4⋊Dic5C2412yes—
267C4⋊Dic5C2412yes—
268C4⋊Dic5C2412yes—
269C4⋊Dic5C2412yes—
270#683—24no—
271#683—24no—
272#683—24no—
273#683—24no—
274#683—24no—
275#683—24no—
276#683—24no—
277#683—24no—
278C4×Dic5—24no—
279C4×Dic5—24no—
280C2×#168—22no—
281C2×#168—22no—
282C2×#168C2412yes—
283C2×#168C2412yes—
284C8×D5—28no—
285C8×D5—28no—
286C22×SD16C2×D511yescharacteristic
287C23×C8—51no—
288C23×C8—51no—
289#553—58no—
290#553—104no—
291#552—58no—
292#552—104no—
293C2×#126—101no—
294C2×#126—101no—
295C2×#125—51no—
296C2×#125—51no—
297C2×#125—101no—
298C2×#123—101no—
299C2×#123—101no—
300C2×C22⋊Q8—51no—
301C2×C22⋊Q8—51no—
302C2×#121—51no—
303C2×#121—51no—
304C2×#121—101no—
305C2×C4×Q8C2×D511yescharacteristic
306C2×C4×D4—51no—
307C2×C4×D4—101no—
308C2×C4×D4C2×D511yescharacteristic
309C2×#117—51no—
310C2×#117—51no—
311C2×#117—101no—
312C22×C4⋊C4—51no—
313C22×C4⋊C4—51no—
314#499—58no—
315#485—58no—
316#484—58no—
317#482—58no—
318#480—58no—
319#479—58no—
320#478—58no—
321#465—58no—
322#465—58no—
323C4×SD16C2×D518yescomplemented
324C8×D4—58no—
325#427—58no—
326C2×#107—51no—
327C2×#107—51no—
328C2×#107—51no—
329C2×#107—51no—
330C2×#106—51no—
331C2×#106—51no—
332C2×#106—51no—
333C2×#106—51no—
334C2×#106—58no—
335C2×#106C2×D511yescharacteristic
336C2×C4⋊C8—51no—
337C2×#103—51no—
338C2×#103—51no—
339C2×#103C2×D511yescharacteristic
340C2×#102—51no—
341C2×#102—51no—
342C2×#102C2×D511yescharacteristic
343C2×C22⋊C8—51no—
344C2×C22⋊C8—51no—
345C2×C4×C8C2×D511yescharacteristic
346C23×C5—22no—
347C23×C5—42no—
348C23×C5—42no—
349C23×C5—42no—
350C23×C5C22×D411yescharacteristic
351C22×D5—22no—
352C22×D5—22no—
353C22×D5—22no—
354C22×D5—22no—
355C22×D5—22no—
356C22×D5#13514yes—
357C22×D5C22×D412yes—
358C22×D5C22×D412yes—
359C5×Q8—22no—
360C5×Q8—22no—
361C5×Q8—42no—
362C5×D4—22no—
363C5×D4—22no—
364C5×D4—42no—
365C2×C4×C5—22no—
366C2×C4×C5—22no—
367C2×C4×C5—22no—
368C2×C4×C5—22no—
369C2×C4×C5—22no—
370C2×C4×C5—42no—
371C2×C4×C5—42no—
372C2×C4×C5—42no—
373C2×C4×C5—84no—
374C2×C4×C5C22×D412yes—
375C2×C4×C5C22×D412yes—
376C2×C4×C5C22×D411yescharacteristic
377C2×C4×C5C2×#4112yes—
378C2×C4×C52−1+412yes—
379C2×C4×C5C2511yescharacteristic
380C22⋊D5—48no—
381C22⋊D5—84no—
382C2×Dic5—22no—
383C2×Dic5—22no—
384C2×Dic5—22no—
385C2×Dic5—22no—
386C2×Dic5—22no—
387C2×Dic5—22no—
388C2×Dic5—42no—
389C2×Dic5—42no—
390C2×Dic5—42no—
391C2×Dic5—42no—
392C2×Dic5C22×D412yes—
393C2×Dic5C22×D412yes—
394D20—28no—
395C4×D5—24no—
396C4×D5—24no—
397C4×D5—22no—
398C4×D5—22no—
399C4×D5—22no—
400C4×D5—22no—
401C4×D5—48no—
402C4×D5—84no—
403C5×C8—22no—
404C5×C8C2×#4114yes—
405#168—22no—
406#168—22no—
407C22×Q8C22×D511yescharacteristic
408C22×D4—51no—
409C22×D4—101no—
410C22×D4—101no—
411C22×D4C22×D511yescharacteristic
412C23×C4—21no—
413C23×C4—51no—
414C23×C4—51no—
415C23×C4—101no—
416C23×C4—101no—
417C2×SD16—24no—
418C2×SD16C22×D514yes—
419C22×C8—51no—
420C22×C8—51no—
421C22×C8—54no—
422C22×C8—54no—
423C22×C8—104no—
424C22×C8—104no—
425C22×C8C22×D511yescharacteristic
426C22×C8C22×D511yescharacteristic
427#126—108no—
428#126—108no—
429#125—54no—
430#125—54no—
431#125—108no—
432#125—102no—
433#125—102no—
434#123—108no—
435#123—108no—
436C22⋊Q8—54no—
437C22⋊Q8—54no—
438C22⋊Q8—102no—
439C22⋊Q8—102no—
440#121—54no—
441#121—54no—
442#121—108no—
443#121—102no—
444#121—102no—
445C4×Q8—22no—
446C4×Q8C22×D514yes—
447C4×D4—22no—
448C4×D4—54no—
449C4×D4—54no—
450C4×D4—108no—
451C4×D4C22×D514yes—
452#117—54no—
453#117—54no—
454#117—108no—
455#117—102no—
456#117—102no—
457C2×C4⋊C4—21no—
458C2×C4⋊C4—51no—
459C2×C4⋊C4—51no—
460C2×C4⋊C4—51no—
461C2×C4⋊C4—51no—
462C2×C4⋊C4—51no—
463C2×C4⋊C4—54no—
464C2×C4⋊C4—54no—
465C2×C4⋊C4—102no—
466C2×C4⋊C4—102no—
467C2×C4⋊C4—101no—
468C2×C4⋊C4—101no—
469C2×C4⋊C4—101no—
470C2×C4⋊C4—101no—
471C2×C4⋊C4—101no—
472C2×C4⋊C4—101no—
473C2×C4⋊C4—101no—
474C2×C4⋊C4—101no—
475C2×C4⋊C4C22×D511yescharacteristic
476C2×C4⋊C4C22×D511yescharacteristic
477C2×C22⋊C4—21no—
478C2×C22⋊C4—51no—
479C2×C22⋊C4—51no—
480C2×C22⋊C4—101no—
481C2×C22⋊C4—101no—
482C2×C22⋊C4—101no—
483C2×C22⋊C4—101no—
484C2×C22⋊C4—101no—
485C2×C22⋊C4—101no—
486C2×C42—21no—
487C2×C42—101no—
488C2×C42—101no—
489C2×C42C22×D511yescharacteristic
490#107—54no—
491#107—54no—
492#107—54no—
493#107—54no—
494#106—54no—
495#106—54no—
496#106—54no—
497#106—54no—
498#106C22×D514yes—
499C4⋊C8—54no—
500#103—54no—
501#103—54no—
502#103C22×D514yes—
503#102—54no—
504#102—54no—
505#102C22×D514yes—
506C22⋊C8—54no—
507C22⋊C8—54no—
508C4×C8C22×D514yes—
509C22×C5—42no—
510C22×C5—42no—
511C22×C5—42no—
512C22×C5—84no—
513C22×C5#54712yes—
514C22×C5C2×#13512yes—
515C22×C5#57712yes—
516C22×C5C23×D411yescharacteristic
517C2×D5—28no—
518C2×D5—22no—
519C2×D5—22no—
520C2×D5—22no—
521C2×D5—22no—
522C2×D5—22no—
523C2×D5—44no—
524C2×D5C2×#13514yes—
525C4×C5—22no—
526C4×C5—22no—
527C4×C5—42no—
528C4×C5—42no—
529C4×C5—42no—
530C4×C5#54712yes—
531C4×C5C22×#4111yescharacteristic
532C4×C5C2×2−1+411yescharacteristic
533Dic5—22no—
534Dic5—22no—
535Dic5—42no—
536Dic5—42no—
537Dic5—42no—
538Dic5—42no—
539C24—21no—
540C24—51no—
541C24—51no—
542C2×Q8—21no—
543C2×Q8—22no—
544C2×Q8—22no—
545C2×Q8C23×D512yes—
546C2×D4—22no—
547C2×D4—21no—
548C2×D4—22no—
549C2×D4—54no—
550C2×D4—104no—
551C2×D4—104no—
552C2×D4—104no—
553C2×D4—204no—
554C2×D4—402no—
555C2×D4C23×D512yes—
556C22×C4—21no—
557C22×C4—21no—
558C22×C4—21no—
559C22×C4—24no—
560C22×C4—51no—
561C22×C4—51no—
562C22×C4—52no—
563C22×C4—52no—
564C22×C4—52no—
565C22×C4—52no—
566C22×C4—82no—
567C22×C4—104no—
568C22×C4—104no—
569C22×C4—102no—
570C22×C4—102no—
571C22×C4—102no—
572C22×C4—102no—
573C22×C4—101no—
574C22×C4—101no—
575C22×C4—101no—
576C22×C4—101no—
577C22×C4—204no—
578C22×C4—402no—
579C22×C4D4×D511yescharacteristic
580C22×C4D4×D511yescharacteristic
581C22×C4C23×D511yescharacteristic
582SD16—28no—
583C2×C8—22no—
584C2×C8—52no—
585C2×C8—52no—
586C2×C8—102no—
587C2×C8—102no—
588C2×C8—108no—
589C2×C8—108no—
590C2×C8#70914yes—
591C2×C8C23×D512yes—
592C2×C8C23×D512yes—
593C4⋊C4—24no—
594C4⋊C4—21no—
595C4⋊C4—21no—
596C4⋊C4—54no—
597C4⋊C4—52no—
598C4⋊C4—52no—
599C4⋊C4—52no—
600C4⋊C4—52no—
601C4⋊C4—104no—
602C4⋊C4—104no—
603C4⋊C4—104no—
604C4⋊C4—104no—
605C4⋊C4—101no—
606C4⋊C4—101no—
607C4⋊C4—101no—
608C4⋊C4—101no—
609C4⋊C4—104no—
610C4⋊C4—104no—
611C4⋊C4—104no—
612C4⋊C4—104no—
613C4⋊C4C23×D512yes—
614C4⋊C4C23×D512yes—
615C22⋊C4—24no—
616C22⋊C4—54no—
617C22⋊C4—54no—
618C22⋊C4—104no—
619C22⋊C4—104no—
620C22⋊C4—104no—
621C22⋊C4—104no—
622C22⋊C4—104no—
623C22⋊C4—104no—
624C42—24no—
625C42—104no—
626C42—104no—
627C42D4×D512yes—
628C42C23×D512yes—
629C2×C5—82no—
630C2×C5#333714yescomplemented
631C2×C5C2×#54711yescharacteristic
632C2×C5C22×#13511yescharacteristic
633C2×C5C2×#57711yescharacteristic
634D5—24no—
635D5—42no—
636C23—22no—
637C23—42no—
638C23—42no—
639C23—42no—
640C23—54no—
641C23—52no—
642C23—52no—
643C23—102no—
644C23—102no—
645C23—102no—
646C23—102no—
647C23—102no—
648C23C2×D4×D511yescharacteristic
649Q8—22no—
650Q8—22no—
651Q8—42no—
652D4—22no—
653D4—22no—
654D4—42no—
655D4—108no—
656D4—208no—
657D4—404no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—22no—
662C2×C4—22no—
663C2×C4—42no—
664C2×C4—42no—
665C2×C4—42no—
666C2×C4—52no—
667C2×C4—52no—
668C2×C4—84no—
669C2×C4—102no—
670C2×C4—102no—
671C2×C4—104no—
672C2×C4—104no—
673C2×C4—102no—
674C2×C4—102no—
675C2×C4—102no—
676C2×C4—102no—
677C2×C4—102no—
678C2×C4—102no—
679C2×C4—102no—
680C2×C4—102no—
681C2×C4—208no—
682C2×C4—202no—
683C2×C4—202no—
684C2×C4—202no—
685C2×C4—202no—
686C2×C4—404no—
687C2×C4C2×#70912yes—
688C2×C4C2×D4×D512yes—
689C2×C4C2×D4×D512yes—
690C2×C4C2×D4×D511yescharacteristic
691C2×C4#415012yes—
692C2×C4C24×D511yescharacteristic
693C8—22no—
694C8—102no—
695C8—102no—
696C8C2×#70914yes—
697C5C2×#333711yescharacteristic, complemented, Sylow
698C22—42no—
699C22—42no—
700C22—42no—
701C22—54no—
702C22—84no—
703C22—102no—
704C22—102no—
705C22—108no—
706C22—102no—
707C22—102no—
708C22—102no—
709C22—204no—
710C22#6588512yes—
711C22#6609612yes—
712C22D5×#13512yes—
713C22C22×D4×D511yescharacteristic
714C4—22no—
715C4—22no—
716C4—42no—
717C4—42no—
718C4—42no—
719C4—102no—
720C4—102no—
721C4—202no—
722C4—202no—
723C4—202no—
724C4—202no—
725C4#6588512yes—
726C4C22×#70911yescharacteristic
727C4C2×#415011yescharacteristic
728C2—82no—
729C2—104no—
730C2—202no—
731C2#1061142014yesdirect product factor
732C2C2×#6588511yescharacteristic
733C2C2×#6609611yescharacteristic
734C2C2×D5×#13511yescharacteristic
subgroupG/H
centerC23C2×D4×D5
commutator, cosocleC2×C4×C5C25
FrattiniC2×C4C24×D5
FittingC2×C4×C5×SD16C2
socleC23×C5C22×D4
prime radicalC2×#65892C2
hypercenterC2×C4×SD16D5
hypocenterC5C2×#3337
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×#65915C2semidirect
3. C2×C4×C5×SD16C2semidirect
4. C2×#65460C2semidirect
5. C2×#65460C2semidirect
6. C2×#65311C2semidirect
7. C2×#65298C2semidirect
8. #10611420C2direct (N × H)
9. C2×#65149C2semidirect
10. C2×D5×#106C2semidirect
11. C2×#65098C2semidirect
12. C2×#65103C2semidirect
13. C2×#65073C2semidirect
14. C2×#65063C2semidirect
15. C2×C8×D20C2semidirect
16. C2×#64972C2semidirect
29. #65915C22semidirect
45. C4×C5×SD16C22semidirect
54. #65460C22semidirect
55. #65460C22semidirect
62. #65311C22semidirect
63. #65298C22semidirect
69. #65149C22semidirect
70. D5×#106C22semidirect
71. #65103C22semidirect
72. #65098C22semidirect
73. #65073C22semidirect
74. #65063C22semidirect
75. C8×D20C22semidirect
76. #64972C22semidirect
192. C2×C4×SD16D5semidirect
323. C4×SD16C2×D5semidirect
630. C2×C5#3337semidirect
697. C5C2×#3337semidirect
731. C2#10611420direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#659152
C2×#658922
C2×C4×C5×SD162
C2×#654602
C2×#653112
C2×#652982
#106114202
C2×#651492
C2×D5×#1062
C2×#650982
C2×#651032
C2×#650732
C2×#650632
C2×C8×D202
C2×#649722
C2×#33375