Finite Group Databasebeta

← C2×#10611500 #12969166

Subgroups — C2×#10611500 #12969166

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×#65917C211yesmaximal, characteristic, complemented
2C2×#65895C211yesmaximal, characteristic
3C2×C5×#440C211yesmaximal, characteristic, complemented
4C2×#65460C211yesmaximal, characteristic
5C2×#65456C211yesmaximal, characteristic, complemented
6C2×C4×#689C211yesmaximal, characteristic, complemented
7C2×C4×#687C211yesmaximal, characteristic, complemented
8#10611500C2116yesmaximal, direct product factor
9C2×#65176C211yesmaximal, characteristic, complemented
10C2×#65165C211yesmaximal, characteristic, complemented
11C2×#65105C211yesmaximal, characteristic, complemented
12C2×#65081C211yesmaximal, characteristic, complemented
13C2×#65069C211yesmaximal, characteristic
14C2×#65057C211yesmaximal, characteristic, complemented
15C2×#65005C211yesmaximal, characteristic, complemented
16C2×#64997C211yesmaximal, characteristic, complemented
17C22×C5×SD16C2211yescharacteristic
18C2×C4×C5×Q8C2211yescharacteristic
19C2×C4×C5×D4C2211yescharacteristic
20C2×#4092C2211yescharacteristic
21C2×#4090C2211yescharacteristic
22C22×#689C2211yescharacteristic
23C2×#4084C2211yescharacteristic
24C2×#4082C2211yescharacteristic
25C22×#687C2211yescharacteristic
26C2×#4075—21no—
27C2×#4070—21no—
28C22×Dic20C2211yescharacteristic
29C22×#676C2211yescharacteristic
30C22×C8×D5C2211yescharacteristic
31#65917—24no—
32#65917C2218yescomplemented
33#65895—24no—
34#65895C2218yes—
35C2×#4044—21no—
36C2×#4043C2211yescharacteristic
37C2×#4043C2211yescharacteristic
38C2×#4036C2211yescharacteristic
39C2×#4035—21no—
40C2×#4034C2211yescharacteristic
41C2×#4031—21no—
42C2×#4025—21no—
43C2×#4022—21no—
44C2×#4018C2211yescharacteristic
45C2×#4016—21no—
46C2×C4×Dic10C2211yescharacteristic
47C2×C4×Dic10C2211yescharacteristic
48C5×#440C2218yescomplemented
49C2×C5×#107C2211yescharacteristic
50C2×C5×#103C2211yescharacteristic
51C2×C5×#102C2211yescharacteristic
52C2×C5×#97C2211yescharacteristic
53C2×#3967C2211yescharacteristic
54C2×#3964C2211yescharacteristic
55#65460C2218yes—
56#65456C2218yescomplemented
57C2×#3949C2211yescharacteristic
58C2×#3948C2211yescharacteristic
59C2×#3948C2211yescharacteristic
60C2×#3947C2211yescharacteristic
61C2×C8×Dic5C2211yescharacteristic
62C4×#689C2218yescomplemented
63C4×#687C2218yescomplemented
64C2×#3942C2211yescharacteristic
65C2×#3942C2211yescharacteristic
66C2×#3940C2211yescharacteristic
67C2×#3939C2211yescharacteristic
68C2×C4×#168C2211yescharacteristic
69#65176C2218yescomplemented
70#65165C2218yescomplemented
71#65105C2218yescomplemented
72#65081C2218yescomplemented
73#65069C2218yes—
74#65057C2218yescomplemented
75#65005C2218yescomplemented
76#64997C2218yescomplemented
77C2×#3178—51nomaximal, Sylow
78C22×C5×Q8C2311yescharacteristic
79C22×C5×D4C2311yescharacteristic
80C23×C4×C5—21no—
81C22×C22⋊D5—21no—
82C22×C4×D5C2311yescharacteristic
83C22×Dic10—21no—
84C22×Dic10C2311yescharacteristic
85C22×Dic10C2311yescharacteristic
86C2×C5×SD16—24no—
87C2×C5×SD16C2314yes—
88C22×C5×C8C2311yescharacteristic
89C22×C5×C8C2311yescharacteristic
90C4×C5×Q8—22no—
91C4×C5×Q8C2314yes—
92C4×C5×D4—22no—
93C4×C5×D4C2314yes—
94C2×C5×C4⋊C4—21no—
95C2×C5×C4⋊C4C2311yescharacteristic
96C2×C5×C4⋊C4C2311yescharacteristic
97C2×C5×C22⋊C4—21no—
98C2×C42×C5—21no—
99C2×C42×C5C2311yescharacteristic
100C2×C22⋊Dic5—21no—
101C2×C22⋊Dic5—21no—
102C2×C22⋊Dic5—21no—
103#4092—22no—
104#4092C2314yes—
105#4090—22no—
106#4090C2314yes—
107C2×#689—24no—
108C2×#689C2314yes—
109#4084—22no—
110#4084C2314yes—
111#4082—22no—
112#4082C2314yes—
113C2×#687—24no—
114C2×#687C2314yes—
115#4075—28no—
116C2×#685—21no—
117C2×#685—21no—
118C2×#685—21no—
119C2×#685D411yescharacteristic
120C2×#685D411yescharacteristic
121C2×C4⋊Dic5—21no—
122C2×C4⋊Dic5—21no—
123C2×C4⋊Dic5—21no—
124C2×C4⋊Dic5C2311yescharacteristic
125C2×C4⋊Dic5C2311yescharacteristic
126#4070—28no—
127C2×#683—21no—
128C2×#683—21no—
129C2×#683—21no—
130C2×#683—21no—
131C2×#683—21no—
132C2×#683—21no—
133C2×#683—21no—
134C2×#683D411yescharacteristic
135C2×#683D411yescharacteristic
136C2×C4×Dic5—21no—
137C2×C4×Dic5—21no—
138C2×C4×Dic5C2311yescharacteristic
139C22×#168C2311yescharacteristic
140C22×#168C2311yescharacteristic
141C2×Dic20—24no—
142C2×Dic20C2314yes—
143C2×#676—24no—
144C2×#676C2314yes—
145C2×C8×D5—24no—
146C2×C8×D5C2314yes—
147#4044—28no—
148#4043—22no—
149#4043—22no—
150#4043C2314yes—
151#4043C2314yes—
152#4036—22no—
153#4036C2314yes—
154#4035—28no—
155#4034—22no—
156#4034C2314yes—
157#4031—28no—
158#4025—28no—
159#4022—28no—
160#4018D414yes—
161#4018C2314yes—
162#4016—28no—
163C4×Dic10—22no—
164C4×Dic10—22no—
165C4×Dic10C2314yes—
166C4×Dic10C2314yes—
167C5×#107C2314yes—
168C5×#103C2314yes—
169C5×#102C2314yes—
170C5×#97C2314yes—
171#3967C2314yes—
172#3964C2314yes—
173#3949C2314yes—
174#3948C2314yes—
175#3948C2314yes—
176#3947C2314yes—
177C8×Dic5C2314yes—
178#3942C2314yes—
179#3942C2314yes—
180#3940C2314yes—
181#3939C2314yes—
182C4×#168C2314yes—
183C2×#542—51no—
184C2×#541—51no—
185#3178—516no—
186C2×#501—51no—
187C2×#497—51no—
188C2×#488—51no—
189C2×#487—51no—
190C2×#470—51no—
191C2×#468—51no—
192C2×#467—51no—
193C2×#465—51no—
194C2×#441—51no—
195C2×#440D511yescharacteristic, complemented
196C2×C4×Q16—51no—
197C2×C4×SD16—51no—
198C2×#405—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—22no—
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—24no—
218C2×C22⋊D5—82no—
219C22×Dic5—21no—
220C22×Dic5—21no—
221C22×Dic5—21no—
222C22×Dic5—21no—
223C22×Dic5C2×D411yescharacteristic
224C22×Dic5C2×D411yescharacteristic
225C22×Dic5C2×D411yescharacteristic
226C2×C4×D5—22no—
227C2×C4×D5—22no—
228C2×C4×D5C2×D412yes—
229C2×C4×D5C2412yes—
230C2×Dic10—22no—
231C2×Dic10—22no—
232C2×Dic10—22no—
233C2×Dic10—22no—
234C2×Dic10—21no—
235C2×Dic10—21no—
236C2×Dic10—24no—
237C2×Dic10—82no—
238C2×Dic10C2412yes—
239C2×Dic10C2412yes—
240C5×SD16—28no—
241C2×C5×C8—22no—
242C2×C5×C8#4114yes—
243C2×C5×C8C2412yes—
244C2×C5×C8C2412yes—
245C5×C4⋊C4—24no—
246C5×C4⋊C4—21no—
247C5×C4⋊C4—21no—
248C5×C4⋊C4C2412yes—
249C5×C4⋊C4C2412yes—
250C5×C22⋊C4—24no—
251C42×C5—24no—
252C42×C5C2×D412yes—
253C42×C5C2412yes—
254C22⋊Dic5—24no—
255C22⋊Dic5—24no—
256C22⋊Dic5—24no—
257#689—28no—
258#687—28no—
259#685—24no—
260#685—24no—
261#685—24no—
262#685C2×D414yes—
263#685C2×D414yes—
264C4⋊Dic5—21no—
265C4⋊Dic5—21no—
266C4⋊Dic5—24no—
267C4⋊Dic5—24no—
268C4⋊Dic5—24no—
269C4⋊Dic5C2412yes—
270C4⋊Dic5C2412yes—
271#683—24no—
272#683—24no—
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×Dic5C2×D412yes—
283C4×Dic5C2412yes—
284C2×#168—22no—
285C2×#168#4114yes—
286C2×#168C2412yes—
287C2×#168C2412yes—
288Dic20—28no—
289#676—28no—
290C8×D5—28no—
291C22×Q16—51no—
292C22×Q16—51no—
293C22×SD16—51no—
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⋊Q8—51no—
303C2×#126—101no—
304C2×#126—101no—
305C2×#126—101no—
306C2×#125—51no—
307C2×#125—101no—
308C2×#125—101no—
309C2×#124—51no—
310C2×#124—101no—
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×Q8C2×D511yescharacteristic
320C2×C4×D4C2×D511yescharacteristic
321C2×#117—51no—
322#501—58no—
323#497—58no—
324#488—58no—
325#487—58no—
326#470—58no—
327#468—58no—
328#467—58no—
329#465—58no—
330#441—58no—
331#440C2×D518yescomplemented
332C4×Q16—58no—
333C4×SD16—58no—
334C2×#107—51no—
335C2×#107C2×D511yescharacteristic
336C2×#106—51no—
337C2×#106—51no—
338C2×#103—51no—
339C2×#103—51no—
340C2×#103—51no—
341C2×#103—51no—
342C2×#103—51no—
343C2×#103C2×D511yescharacteristic
344C2×#102—51no—
345C2×#102C2×D511yescharacteristic
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—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×C5—84no—
375C2×C4×C5C22×D412yes—
376C2×C4×C5C22×D412yes—
377C2×C4×C5C22×D411yescharacteristic
378C2×C4×C5C2×#4112yes—
379C2×C4×C5C2×#4112yes—
380C2×C4×C5C2511yescharacteristic
381C22⋊D5—84no—
382C2×Dic5—22no—
383C2×Dic5—22no—
384C2×Dic5—22no—
385C2×Dic5—22no—
386C2×Dic5—22no—
387C2×Dic5—22no—
388C2×Dic5—22no—
389C2×Dic5—42no—
390C2×Dic5—42no—
391C2×Dic5—42no—
392C2×Dic5—42no—
393C2×Dic5C22×D412yes—
394C2×Dic5C22×D412yes—
395C2×Dic5C22×D412yes—
396C4×D5—24no—
397C4×D5—22no—
398C4×D5—22no—
399Dic10—22no—
400Dic10—22no—
401Dic10—22no—
402Dic10—22no—
403Dic10—42no—
404Dic10—42no—
405Dic10—84no—
406C5×C8—22no—
407C5×C8C2×#4114yes—
408#168—22no—
409#168C2×#4114yes—
410C22×Q8—51no—
411C22×Q8—51no—
412C22×Q8—101no—
413C22×Q8C22×D511yescharacteristic
414C22×D4—101no—
415C22×D4C22×D511yescharacteristic
416C23×C4—21no—
417C23×C4—51no—
418C2×Q16—54no—
419C2×Q16—54no—
420C2×Q16—104no—
421C2×Q16—104no—
422C2×SD16—24no—
423C2×SD16—54no—
424C2×SD16—104no—
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—54no—
435C4⋊Q8—54no—
436C4⋊Q8—102no—
437C4⋊Q8—102no—
438#126—108no—
439#126—108no—
440#126—108no—
441#125—54no—
442#125—108no—
443#125—102no—
444#125—108no—
445#124—54no—
446#124—102no—
447#124—108no—
448#123—108no—
449C22⋊Q8—54no—
450C22⋊Q8—54no—
451C22⋊Q8—54no—
452C22⋊Q8—102no—
453C22⋊Q8—102no—
454C22⋊Q8—108no—
455C22⋊Q8—102no—
456#121—54no—
457#121—102no—
458C4×Q8—22no—
459C4×Q8—54no—
460C4×Q8—54no—
461C4×Q8—102no—
462C4×Q8—102no—
463C4×Q8C22×D514yes—
464C4×D4—22no—
465C4×D4C22×D514yes—
466#117—54no—
467#117—54no—
468C2×C4⋊C4—21no—
469C2×C4⋊C4—51no—
470C2×C4⋊C4—51no—
471C2×C4⋊C4—51no—
472C2×C4⋊C4—51no—
473C2×C4⋊C4—101no—
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⋊C4—101no—
481C2×C4⋊C4—101no—
482C2×C4⋊C4—101no—
483C2×C4⋊C4C22×D511yescharacteristic
484C2×C4⋊C4C22×D511yescharacteristic
485C2×C22⋊C4—21no—
486C2×C22⋊C4—51no—
487C2×C22⋊C4—51no—
488C2×C22⋊C4—101no—
489C2×C22⋊C4—101no—
490C2×C22⋊C4—101no—
491C2×C22⋊C4—101no—
492C2×C22⋊C4—101no—
493C2×C22⋊C4—101no—
494C2×C42—21no—
495C2×C42—51no—
496C2×C42—101no—
497C2×C42—101no—
498C2×C42C22×D511yescharacteristic
499#107—54no—
500#107C22×D514yes—
501#106—54no—
502#106—54no—
503#103—54no—
504#103—54no—
505#103—54no—
506#103—54no—
507#103—54no—
508#103C22×D514yes—
509#102—54no—
510#102C22×D514yes—
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—22no—
546C2×Q8—22no—
547C2×Q8—52no—
548C2×Q8—52no—
549C2×Q8—104no—
550C2×Q8—101no—
551C2×Q8—101no—
552C2×Q8—102no—
553C2×Q8—102no—
554C2×Q8—102no—
555C2×Q8—102no—
556C2×Q8—402no—
557C2×Q8C23×D512yes—
558C2×D4—22no—
559C2×D4—21no—
560C2×D4—22no—
561C2×D4—104no—
562C2×D4—402no—
563C2×D4C23×D512yes—
564C22×C4—21no—
565C22×C4—21no—
566C22×C4—21no—
567C22×C4—24no—
568C22×C4—51no—
569C22×C4—51no—
570C22×C4—51no—
571C22×C4—52no—
572C22×C4—52no—
573C22×C4—82no—
574C22×C4—102no—
575C22×C4—102no—
576C22×C4—101no—
577C22×C4—101no—
578C22×C4—101no—
579C22×C4—101no—
580C22×C4D4×D511yescharacteristic
581C22×C4D4×D511yescharacteristic
582C22×C4C23×D511yescharacteristic
583Q16—108no—
584Q16—108no—
585SD16—28no—
586SD16—108no—
587M16—108no—
588C2×C8—22no—
589C2×C8—54no—
590C2×C8—52no—
591C2×C8—52no—
592C2×C8—102no—
593C2×C8—108no—
594C2×C8#70914yes—
595C2×C8C23×D512yes—
596C2×C8C23×D512yes—
597C4⋊C4—24no—
598C4⋊C4—21no—
599C4⋊C4—21no—
600C4⋊C4—54no—
601C4⋊C4—54no—
602C4⋊C4—52no—
603C4⋊C4—52no—
604C4⋊C4—104no—
605C4⋊C4—104no—
606C4⋊C4—104no—
607C4⋊C4—104no—
608C4⋊C4—104no—
609C4⋊C4—104no—
610C4⋊C4—104no—
611C4⋊C4—104no—
612C4⋊C4—101no—
613C4⋊C4—101no—
614C4⋊C4—104no—
615C4⋊C4—104no—
616C4⋊C4C23×D512yes—
617C4⋊C4C23×D512yes—
618C22⋊C4—24no—
619C22⋊C4—54no—
620C22⋊C4—54no—
621C22⋊C4—104no—
622C22⋊C4—104no—
623C22⋊C4—104no—
624C22⋊C4—104no—
625C22⋊C4—104no—
626C22⋊C4—104no—
627C42—24no—
628C42—52no—
629C42—52no—
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—42no—
652Q8—102no—
653Q8—102no—
654Q8—102no—
655Q8—102no—
656Q8—202no—
657Q8—202no—
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—84no—
675C2×C4—102no—
676C2×C4—102no—
677C2×C4—102no—
678C2×C4—104no—
679C2×C4—102no—
680C2×C4—102no—
681C2×C4—102no—
682C2×C4—102no—
683C2×C4—102no—
684C2×C4—102no—
685C2×C4—202no—
686C2×C4—202no—
687C2×C4—202no—
688C2×C4—202no—
689C2×C4C2×#70912yes—
690C2×C4C2×D4×D512yes—
691C2×C4C2×D4×D512yes—
692C2×C4C2×D4×D511yescharacteristic
693C2×C4D5×#4112yes—
694C2×C4C24×D511yescharacteristic
695C8—22no—
696C8—54no—
697C8—102no—
698C8C2×#70914yes—
699C5C2×#317811yescharacteristic, complemented, Sylow
700C22—42no—
701C22—42no—
702C22—42no—
703C22—84no—
704C22—102no—
705C22—102no—
706C22—102no—
707C22—204no—
708C22#6588212yes—
709C22#6610912yes—
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#6588212yes—
725C4C22×#70911yescharacteristic
726C4C2×D5×#4111yescharacteristic
727C2—82no—
728C2—202no—
729C2#1061150014yesdirect product factor
730C2C2×#6588211yescharacteristic
731C2C2×#6610911yescharacteristic
732C2C2×#6611311yescharacteristic
subgroupG/H
centerC23C2×D4×D5
commutator, cosocleC2×C4×C5C25
FrattiniC2×C4C24×D5
FittingC2×C5×#440C2
socleC23×C5C22×D4
prime radicalC2×#4084C22
hypercenterC2×#440D5
hypocenterC5C2×#3178
LCSG ▷ C2×C4×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#440

Complements

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

NH ≅ G/Ntype
1. C2×#65917C2semidirect
3. C2×C5×#440C2semidirect
5. C2×#65456C2semidirect
6. C2×C4×#689C2semidirect
7. C2×C4×#687C2semidirect
8. #10611500C2direct (N × H)
9. C2×#65176C2semidirect
10. C2×#65165C2semidirect
11. C2×#65105C2semidirect
12. C2×#65081C2semidirect
14. C2×#65057C2semidirect
15. C2×#65005C2semidirect
16. C2×#64997C2semidirect
32. #65917C22semidirect
48. C5×#440C22semidirect
56. #65456C22semidirect
62. C4×#689C22semidirect
63. C4×#687C22semidirect
69. #65176C22semidirect
70. #65165C22semidirect
71. #65105C22semidirect
72. #65081C22semidirect
74. #65057C22semidirect
75. #65005C22semidirect
76. #64997C22semidirect
195. C2×#440D5semidirect
331. #440C2×D5semidirect
635. C2×C5#3178semidirect
699. C5C2×#3178semidirect
729. C2#10611500direct (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×#658952
C2×C5×#4402
C2×#654602
C2×#654562
C2×C4×#6892
C2×C4×#6872
#106115002
C2×#651762
C2×#651652
C2×#651052
C2×#650812
C2×#650692
C2×#650572
C2×#650052
C2×#649972
C2×#31785