Finite Group Databasebeta

← C2×#10613401 #12978972

Subgroups — C2×#10613401 #12978972

Order 1280.

2070 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×#66061C211yesmaximal, characteristic, complemented
2C2×#66005C211yesmaximal, characteristic, complemented
3C2×C5×#489C211yesmaximal, characteristic, complemented
4C2×#65380C211yesmaximal, characteristic, complemented
5C2×#65346C211yesmaximal, characteristic
6#10613401C2116yesmaximal, direct product factor
7C2×#65107C211yesmaximal, characteristic, complemented
8C2×#65081C211yesmaximal, characteristic, complemented
9C2×#65083C211yesmaximal, characteristic, complemented
10C2×#65106C211yesmaximal, characteristic, complemented
11C2×#65076C211yesmaximal, characteristic
12C2×#65054C211yesmaximal, characteristic, complemented
13C2×#65048C211yesmaximal, characteristic, complemented
14C2×#65045C211yesmaximal, characteristic
15C2×#64999C211yesmaximal, characteristic, complemented
16C2×#64990C211yesmaximal, characteristic, complemented
17C22×Q8×D5—21no—
18C2×C5×C4⋊Q8C2211yescharacteristic
19C2×C5×#124C2211yescharacteristic
20C2×#4092—21no—
21C2×Q8×Dic5C2211yescharacteristic
22C2×#4090C2211yescharacteristic
23C22×#688C2211yescharacteristic
24C2×#4082C2211yescharacteristic
25C2×D4×Dic5C2211yescharacteristic
26C22×#686C2211yescharacteristic
27C22×#677C2211yescharacteristic
28#66061—24no—
29#66061C2218yescomplemented
30#66005—24no—
31#66005C2218yescomplemented
32C2×#4042—21no—
33C2×#4042—21no—
34C2×#4039C2211yescharacteristic
35C2×#4039C2211yescharacteristic
36C2×#4034C2211yescharacteristic
37C2×#4034C2211yescharacteristic
38C2×#4025—21no—
39C2×#4025—21no—
40C2×#4024—21no—
41C2×#4023—21no—
42C2×C4×D20C2211yescharacteristic
43C2×C4×Dic10C2211yescharacteristic
44C2×C4×Dic10C2211yescharacteristic
45C5×#489C2218yescomplemented
46C2×C5×#103C2211yescharacteristic
47C2×C5×#103C2211yescharacteristic
48C2×C5×#102C2211yescharacteristic
49C2×C5×#102C2211yescharacteristic
50C2×C5×#97C2211yescharacteristic
51C2×#3967C2211yescharacteristic
52C2×#3964C2211yescharacteristic
53C2×#3953C2211yescharacteristic
54C2×#3950C2211yescharacteristic
55C2×#3948C2211yescharacteristic
56C2×#3947C2211yescharacteristic
57C2×#3946C2211yescharacteristic
58C2×#3946C2211yescharacteristic
59C2×C8×Dic5C2211yescharacteristic
60#65380C2218yescomplemented
61#65346C2218yes—
62C2×#3942C2211yescharacteristic
63C2×#3942C2211yescharacteristic
64C2×#3939C2211yescharacteristic
65C2×#3939C2211yescharacteristic
66C2×C4⋊#168C2211yescharacteristic
67#65107C2218yescomplemented
68#65106C2218yescomplemented
69#65083C2218yescomplemented
70#65081C2218yescomplemented
71#65076C2218yes—
72#65054C2218yescomplemented
73#65048C2218yescomplemented
74#65045C2218yes—
75#64999C2218yescomplemented
76#64990C2218yescomplemented
77C2×#3367—51nomaximal, Sylow
78C22×C5×Q8—21no—
79C22×C5×Q8C2311yescharacteristic
80C22×C5×D4C2311yescharacteristic
81C23×Dic5—21no—
82C2×Q8×D5—28no—
83C2×Q8×D5—48no—
84C22×D20C2311yescharacteristic
85C22×C4×D5—21no—
86C22×C4×D5—21no—
87C22×C4×D5—21no—
88C22×Dic10—21no—
89C22×Dic10—21no—
90C22×Dic10D411yescharacteristic
91C22×Dic10C2311yescharacteristic
92C22×C5×C8C2311yescharacteristic
93C22×C5×C8C2311yescharacteristic
94C5×C4⋊Q8—22no—
95C5×C4⋊Q8C2314yes—
96C5×#124—22no—
97C5×#124C2314yes—
98C2×C5×C4⋊C4—21no—
99C2×C5×C4⋊C4C2311yescharacteristic
100C2×C5×C4⋊C4C2311yescharacteristic
101C2×C5×C22⋊C4—21no—
102C2×C5×C22⋊C4—21no—
103C2×C42×C5C2311yescharacteristic
104C2×C22⋊Dic5—21no—
105C2×C22⋊Dic5—21no—
106C2×C22⋊Dic5—21no—
107#4092—28no—
108Q8×Dic5—22no—
109Q8×Dic5C2314yes—
110#4090—22no—
111#4090C2314yes—
112C2×#688—24no—
113C2×#688C2314yes—
114#4082—22no—
115#4082C2314yes—
116D4×Dic5—22no—
117D4×Dic5C2314yes—
118C2×#686—24no—
119C2×#686C2314yes—
120C2×#685—21no—
121C2×#685—21no—
122C2×#685—21no—
123C2×C4⋊Dic5—21no—
124C2×C4⋊Dic5D411yescharacteristic
125C2×C4⋊Dic5C2311yescharacteristic
126C2×C4⋊Dic5C2311yescharacteristic
127C2×#683—21no—
128C2×#683—21no—
129C2×#683—21no—
130C2×#683—21no—
131C2×#683—21no—
132C2×#683D411yescharacteristic
133C2×#683D411yescharacteristic
134C2×C4×Dic5—21no—
135C2×C4×Dic5—21no—
136C2×C4×Dic5C2311yescharacteristic
137C2×C4×Dic5C2311yescharacteristic
138C22×#168C2311yescharacteristic
139C22×#168C2311yescharacteristic
140C2×#677—24no—
141C2×#677C2314yes—
142#4042—28no—
143#4042—28no—
144#4039—22no—
145#4039—22no—
146#4039C2314yes—
147#4039C2314yes—
148#4034—22no—
149#4034—22no—
150#4034C2314yes—
151#4034C2314yes—
152#4025—28no—
153#4025—28no—
154#4024—28no—
155#4023—28no—
156C4×D20—22no—
157C4×D20C2314yes—
158C4×Dic10—22no—
159C4×Dic10D414yes—
160C4×Dic10C2314yes—
161C4×Dic10C2314yes—
162C5×#103C2314yes—
163C5×#103C2314yes—
164C5×#102C2314yes—
165C5×#102C2314yes—
166C5×#97C2314yes—
167#3967C2314yes—
168#3964C2314yes—
169#3953C2314yes—
170#3950C2314yes—
171#3948C2314yes—
172#3947C2314yes—
173#3946C2314yes—
174#3946C2314yes—
175C8×Dic5C2314yes—
176#3942C2314yes—
177#3942C2314yes—
178#3939C2314yes—
179#3939C2314yes—
180C4⋊#168C2314yes—
181C2×#556—51no—
182C2×D4×Q8—51no—
183#3367—516no—
184C2×#489—51no—
185C2×#489D511yescharacteristic, complemented
186C2×#487—51no—
187C2×#477—51no—
188C2×#477—51no—
189C2×#474—51no—
190C2×#463—51no—
191C2×#463—51no—
192C2×#461—51no—
193C2×#446—51no—
194C2×#440—51no—
195C2×#440—51no—
196C2×C4×D8—51no—
197C24×C5—21no—
198C23×D5—21no—
199C2×C5×Q8—21no—
200C2×C5×Q8—24no—
201C2×C5×Q8—22no—
202C2×C5×Q8—22no—
203C2×C5×Q8—44no—
204C2×C5×Q8C2412yes—
205C2×C5×D4—21no—
206C2×C5×D4—22no—
207C2×C5×D4—22no—
208C2×C5×D4C2412yes—
209C22×C4×C5—21no—
210C22×C4×C5—21no—
211C22×C4×C5—21no—
212C22×C4×C5C2×D411yescharacteristic
213C22×C4×C5C2×D411yescharacteristic
214C22×C4×C5C2411yescharacteristic
215C22×Dic5—21no—
216C22×Dic5—21no—
217C22×Dic5—21no—
218C22×Dic5—24no—
219C22×Dic5—44no—
220C22×Dic5C2×D411yescharacteristic
221C22×Dic5C2×D411yescharacteristic
222C22×Dic5C2×D411yescharacteristic
223C22×Dic5C2×D411yescharacteristic
224Q8×D5—432no—
225C2×D20—21no—
226C2×D20—22no—
227C2×D20#4114yes—
228C2×D20C2412yes—
229C2×C4×D5—24no—
230C2×C4×D5—24no—
231C2×C4×D5—24no—
232C2×C4×D5—44no—
233C2×C4×D5—44no—
234C2×C4×D5—44no—
235C2×Dic10—24no—
236C2×Dic10—22no—
237C2×Dic10—22no—
238C2×Dic10—21no—
239C2×Dic10—24no—
240C2×Dic10—24no—
241C2×Dic10—44no—
242C2×Dic10—44no—
243C2×Dic10C2×D414yes—
244C2×Dic10C2412yes—
245C2×C5×C8—22no—
246C2×C5×C8—22no—
247C2×C5×C8C2412yes—
248C2×C5×C8C2412yes—
249C5×C4⋊C4—24no—
250C5×C4⋊C4—21no—
251C5×C4⋊C4—21no—
252C5×C4⋊C4C2412yes—
253C5×C4⋊C4C2412yes—
254C5×C22⋊C4—24no—
255C5×C22⋊C4—24no—
256C42×C5C2×D412yes—
257C42×C5C2412yes—
258C22⋊Dic5—24no—
259C22⋊Dic5—24no—
260C22⋊Dic5—24no—
261#688—28no—
262#686—28no—
263#685—24no—
264#685—24no—
265#685—24no—
266C4⋊Dic5—21no—
267C4⋊Dic5—21no—
268C4⋊Dic5—24no—
269C4⋊Dic5C2×D414yes—
270C4⋊Dic5C2412yes—
271C4⋊Dic5C2412yes—
272#683—24no—
273#683—24no—
274#683—24no—
275#683—24no—
276#683—24no—
277#683C2×D414yes—
278#683C2×D414yes—
279C4×Dic5—24no—
280C4×Dic5—24no—
281C4×Dic5C2×D412yes—
282C4×Dic5C2×D412yes—
283C4×Dic5C2412yes—
284C4×Dic5C2412yes—
285C2×#168—22no—
286C2×#168—22no—
287C2×#168C2412yes—
288C2×#168C2412yes—
289#677—28no—
290C23×Q8—101no—
291C22×SD16—51no—
292C22×SD16—51no—
293C22×D8—51no—
294#556—58no—
295#556—104no—
296D4×Q8—58no—
297D4×Q8—104no—
298C2×C4⋊Q8—51no—
299C2×C4⋊Q8—51no—
300C2×C4⋊Q8—51no—
301C2×C4⋊Q8C2×D511yescharacteristic
302C2×#126—101no—
303C2×#126—101no—
304C2×#124—51no—
305C2×#124C2×D511yescharacteristic
306C2×C22⋊Q8—101no—
307C2×C22⋊Q8—101no—
308C2×C22⋊Q8—101no—
309C2×C22⋊Q8—101no—
310C2×C4×Q8—51no—
311C2×C4×Q8—51no—
312C2×C4×Q8—51no—
313C2×C4×D4—51no—
314C2×C4×D4—51no—
315C2×C4×D4—51no—
316C2×C4×D4—51no—
317C2×#117—101no—
318#489—58no—
319#489C2×D518yescomplemented
320#487—58no—
321#477—58no—
322#477—58no—
323#474—58no—
324#463—58no—
325#463—58no—
326#461—58no—
327#446—58no—
328#440—58no—
329#440—58no—
330C4×D8—58no—
331C2×#107—51no—
332C2×#107—51no—
333C2×#107—51no—
334C2×C4⋊C8—51no—
335C2×C4⋊C8—51no—
336C2×C4⋊C8—51no—
337C2×#103—51no—
338C2×#103—51no—
339C2×#103—51no—
340C2×#103—51no—
341C2×#103C2×D511yescharacteristic
342C2×#103C2×D511yescharacteristic
343C2×#102—51no—
344C2×#102—51no—
345C2×#102C2×D511yescharacteristic
346C2×#102C2×D511yescharacteristic
347C2×#97—51no—
348C2×#97C2×D511yescharacteristic
349C2×C4×C8—51no—
350C23×C5—22no—
351C23×C5—42no—
352C23×C5—42no—
353C23×C5—42no—
354C23×C5C22×D411yescharacteristic
355C22×D5—24no—
356C22×D5—22no—
357C22×D5—42no—
358C22×D5—42no—
359C5×Q8—22no—
360C5×Q8—22no—
361C5×Q8—48no—
362C5×Q8—42no—
363C5×D4—22no—
364C5×D4—22no—
365C5×D4—42no—
366C2×C4×C5—22no—
367C2×C4×C5—22no—
368C2×C4×C5—22no—
369C2×C4×C5—22no—
370C2×C4×C5—22no—
371C2×C4×C5—42no—
372C2×C4×C5—42no—
373C2×C4×C5—42no—
374C2×C4×C5C22×D412yes—
375C2×C4×C5C22×D412yes—
376C2×C4×C5C22×D411yescharacteristic
377C2×C4×C5C2×#4112yes—
378C2×C4×C52−1+412yes—
379C2×C4×C5C2511yescharacteristic
380C2×Dic5—22no—
381C2×Dic5—22no—
382C2×Dic5—22no—
383C2×Dic5—22no—
384C2×Dic5—22no—
385C2×Dic5—22no—
386C2×Dic5—42no—
387C2×Dic5—42no—
388C2×Dic5—42no—
389C2×Dic5—48no—
390C2×Dic5AGL(1,ℤ/8)14yes—
391C2×Dic5C22×D412yes—
392C2×Dic5C22×D412yes—
393C2×Dic5C22×D412yes—
394C2×Dic5C22×D412yes—
395D20—24no—
396D20—22no—
397D20C2×#4114yes—
398C4×D5—48no—
399C4×D5—48no—
400C4×D5—48no—
401Dic10—28no—
402Dic10—22no—
403Dic10—22no—
404Dic10—48no—
405Dic10—42no—
406Dic10—48no—
407C5×C8—22no—
408C5×C8—22no—
409#168—22no—
410#168—22no—
411C22×Q8—21no—
412C22×Q8—51no—
413C22×Q8—51no—
414C22×Q8—101no—
415C22×Q8—101no—
416C22×Q8—108no—
417C22×Q8—208no—
418C22×Q8C22×D511yescharacteristic
419C22×D4—51no—
420C22×D4C22×D511yescharacteristic
421C23×C4—101no—
422C23×C4—101no—
423C23×C4—101no—
424C23×C4—101no—
425C2×SD16—54no—
426C2×SD16—54no—
427C2×SD16—104no—
428C2×SD16—104no—
429C2×D8—54no—
430C2×D8—104no—
431C22×C8—51no—
432C22×C8—51no—
433C22×C8C22×D511yescharacteristic
434C22×C8C22×D511yescharacteristic
435C4⋊Q8—22no—
436C4⋊Q8—54no—
437C4⋊Q8—54no—
438C4⋊Q8—54no—
439C4⋊Q8—102no—
440C4⋊Q8—102no—
441C4⋊Q8—102no—
442C4⋊Q8C22×D514yes—
443#126—108no—
444#126—108no—
445#124—22no—
446#124—54no—
447#124—102no—
448#124C22×D514yes—
449C22⋊Q8—108no—
450C22⋊Q8—108no—
451C22⋊Q8—108no—
452C22⋊Q8—108no—
453C4×Q8—54no—
454C4×Q8—54no—
455C4×Q8—54no—
456C4×Q8—54no—
457C4×Q8—102no—
458C4×Q8—102no—
459C4×D4—54no—
460C4×D4—54no—
461C4×D4—54no—
462C4×D4—54no—
463C4×D4—102no—
464C4×D4—102no—
465C4×D4—102no—
466C4×D4—102no—
467#117—108no—
468C2×C4⋊C4—21no—
469C2×C4⋊C4—51no—
470C2×C4⋊C4—51no—
471C2×C4⋊C4—51no—
472C2×C4⋊C4—51no—
473C2×C4⋊C4—51no—
474C2×C4⋊C4—101no—
475C2×C4⋊C4—101no—
476C2×C4⋊C4—101no—
477C2×C4⋊C4—101no—
478C2×C4⋊C4—101no—
479C2×C4⋊C4—101no—
480C2×C4⋊C4C22×D511yescharacteristic
481C2×C4⋊C4C22×D511yescharacteristic
482C2×C22⋊C4—21no—
483C2×C22⋊C4—21no—
484C2×C22⋊C4—101no—
485C2×C22⋊C4—101no—
486C2×C22⋊C4—101no—
487C2×C22⋊C4—101no—
488C2×C22⋊C4—101no—
489C2×C22⋊C4—101no—
490C2×C42—51no—
491C2×C42—51no—
492C2×C42—101no—
493C2×C42—101no—
494C2×C42C22×D511yescharacteristic
495#107—54no—
496#107—54no—
497#107—54no—
498C4⋊C8—54no—
499C4⋊C8—54no—
500C4⋊C8—54no—
501#103—54no—
502#103—54no—
503#103—54no—
504#103—54no—
505#103C22×D514yes—
506#103C22×D514yes—
507#102—54no—
508#102—54no—
509#102C22×D514yes—
510#102C22×D514yes—
511#97—54no—
512#97C22×D514yes—
513C4×C8—54no—
514C22×C5—42no—
515C22×C5—42no—
516C22×C5—42no—
517C22×C5—84no—
518C22×C5#54812yes—
519C22×C5C2×AGL(1,ℤ/8)12yes—
520C22×C5#57812yes—
521C22×C5C23×D411yescharacteristic
522C2×D5—24no—
523C2×D5—48no—
524C2×D5—42no—
525C2×D5—42no—
526C4×C5—22no—
527C4×C5—22no—
528C4×C5—42no—
529C4×C5—42no—
530C4×C5—42no—
531C4×C5#54812yes—
532C4×C5C22×#4111yescharacteristic
533C4×C5C2×2−1+411yescharacteristic
534Dic5—22no—
535Dic5—22no—
536Dic5—22no—
537Dic5—42no—
538Dic5—42no—
539Dic5—42no—
540Dic5C2×AGL(1,ℤ/8)14yes—
541C24—21no—
542C24—101no—
543C2×Q8—21no—
544C2×Q8—24no—
545C2×Q8—22no—
546C2×Q8—22no—
547C2×Q8—44no—
548C2×Q8—54no—
549C2×Q8—52no—
550C2×Q8—104no—
551C2×Q8—104no—
552C2×Q8—104no—
553C2×Q8—101no—
554C2×Q8—102no—
555C2×Q8—102no—
556C2×Q8—204no—
557C2×Q8—204no—
558C2×Q8—2032no—
559C2×Q8C23×D512yes—
560C2×D4—21no—
561C2×D4—22no—
562C2×D4—22no—
563C2×D4—54no—
564C2×D4—52no—
565C2×D4—101no—
566C2×D4—102no—
567C2×D4C23×D512yes—
568C22×C4—21no—
569C22×C4—21no—
570C22×C4—21no—
571C22×C4—51no—
572C22×C4—51no—
573C22×C4—51no—
574C22×C4—51no—
575C22×C4—104no—
576C22×C4—104no—
577C22×C4—104no—
578C22×C4—101no—
579C22×C4—101no—
580C22×C4—101no—
581C22×C4—104no—
582C22×C4—204no—
583C22×C4—204no—
584C22×C4—204no—
585C22×C4—204no—
586C22×C4D4×D511yescharacteristic
587C22×C4D4×D511yescharacteristic
588C22×C4C23×D511yescharacteristic
589SD16—108no—
590SD16—108no—
591D8—108no—
592C2×C8—22no—
593C2×C8—22no—
594C2×C8—52no—
595C2×C8—52no—
596C2×C8—102no—
597C2×C8—102no—
598C2×C8C23×D512yes—
599C2×C8C23×D512yes—
600C4⋊C4—24no—
601C4⋊C4—21no—
602C4⋊C4—21no—
603C4⋊C4—54no—
604C4⋊C4—54no—
605C4⋊C4—54no—
606C4⋊C4—52no—
607C4⋊C4—52no—
608C4⋊C4—104no—
609C4⋊C4—104no—
610C4⋊C4—104no—
611C4⋊C4—104no—
612C4⋊C4—104no—
613C4⋊C4—101no—
614C4⋊C4—101no—
615C4⋊C4—104no—
616C4⋊C4C23×D512yes—
617C4⋊C4C23×D512yes—
618C22⋊C4—24no—
619C22⋊C4—24no—
620C22⋊C4—104no—
621C22⋊C4—104no—
622C22⋊C4—104no—
623C22⋊C4—104no—
624C22⋊C4—104no—
625C22⋊C4—104no—
626C42—52no—
627C42—52no—
628C42—52no—
629C42—52no—
630C42—104no—
631C42—104no—
632C42D4×D512yes—
633C42C23×D512yes—
634C2×C5—82no—
635C2×C5#336714yescomplemented
636C2×C5C2×#54811yescharacteristic
637C2×C5C22×AGL(1,ℤ/8)11yescharacteristic
638C2×C5C2×#57811yescharacteristic
639D5—44no—
640C23—22no—
641C23—42no—
642C23—42no—
643C23—42no—
644C23—104no—
645C23—102no—
646C23—202no—
647C23—202no—
648C23C2×D4×D511yescharacteristic
649Q8—22no—
650Q8—22no—
651Q8—48no—
652Q8—42no—
653Q8—108no—
654Q8—102no—
655Q8—102no—
656Q8—208no—
657Q8—208no—
658Q8—202no—
659D4—22no—
660D4—22no—
661D4—42no—
662D4—54no—
663D4—104no—
664D4—102no—
665C2×C4—22no—
666C2×C4—22no—
667C2×C4—22no—
668C2×C4—22no—
669C2×C4—22no—
670C2×C4—42no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—54no—
674C2×C4—52no—
675C2×C4—52no—
676C2×C4—52no—
677C2×C4—52no—
678C2×C4—102no—
679C2×C4—102no—
680C2×C4—102no—
681C2×C4—102no—
682C2×C4—102no—
683C2×C4—102no—
684C2×C4—208no—
685C2×C4—208no—
686C2×C4—208no—
687C2×C4—208no—
688C2×C4—202no—
689C2×C4—202no—
690C2×C4—202no—
691C2×C4C2×D4×D512yes—
692C2×C4C2×D4×D512yes—
693C2×C4C2×D4×D511yescharacteristic
694C2×C4D5×#4112yes—
695C2×C4#415012yes—
696C2×C4C24×D511yescharacteristic
697C8—22no—
698C8—22no—
699C8—102no—
700C8—102no—
701C5C2×#336711yescharacteristic, complemented, Sylow
702C22—42no—
703C22—42no—
704C22—42no—
705C22—84no—
706C22—104no—
707C22—208no—
708C22—202no—
709C22—202no—
710C22#6601112yes—
711C22D5×AGL(1,ℤ/8)12yes—
712C22#6611312yes—
713C22C22×D4×D511yescharacteristic
714C4—22no—
715C4—22no—
716C4—42no—
717C4—42no—
718C4—42no—
719C4—54no—
720C4—102no—
721C4—102no—
722C4—102no—
723C4—202no—
724C4—202no—
725C4—202no—
726C4#6601112yes—
727C4C2×D5×#4111yescharacteristic
728C4C2×#415011yescharacteristic
729C2—82no—
730C2—204no—
731C2#1061340114yesdirect product factor
732C2C2×#6601111yescharacteristic
733C2C2×D5×AGL(1,ℤ/8)11yescharacteristic
734C2C2×#6611311yescharacteristic
subgroupG/H
centerC23C2×D4×D5
commutator, cosocleC2×C4×C5C25
FrattiniC2×C4C24×D5
FittingC2×C5×#489C2
socleC23×C5C22×D4
prime radicalC22×#686C22
hypercenterC2×#489D5
hypocenterC5C2×#3367
LCSG ▷ C2×C4×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#489

Complements

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

NH ≅ G/Ntype
1. C2×#66061C2semidirect
2. C2×#66005C2semidirect
3. C2×C5×#489C2semidirect
4. C2×#65380C2semidirect
6. #10613401C2direct (N × H)
7. C2×#65107C2semidirect
8. C2×#65081C2semidirect
9. C2×#65083C2semidirect
10. C2×#65106C2semidirect
12. C2×#65054C2semidirect
13. C2×#65048C2semidirect
15. C2×#64999C2semidirect
16. C2×#64990C2semidirect
29. #66061C22semidirect
31. #66005C22semidirect
45. C5×#489C22semidirect
60. #65380C22semidirect
67. #65107C22semidirect
68. #65106C22semidirect
69. #65083C22semidirect
70. #65081C22semidirect
72. #65054C22semidirect
73. #65048C22semidirect
75. #64999C22semidirect
76. #64990C22semidirect
185. C2×#489D5semidirect
319. #489C2×D5semidirect
635. C2×C5#3367semidirect
701. C5C2×#3367semidirect
731. C2#10613401direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#660612
C2×#660052
C2×C5×#4892
C2×#653802
C2×#653462
#106134012
C2×#651072
C2×#650812
C2×#650832
C2×#651062
C2×#650762
C2×#650542
C2×#650482
C2×#650452
C2×#649992
C2×#649902
C2×#33675