Finite Group Databasebeta

← C2×#10612890 #12979796

Subgroups — C2×#10612890 #12979796

Order 1280.

2006 conjugacy classes of subgroups.

The subgroup lattice has 696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#66019C211yesmaximal, characteristic, complemented
2C2×D4×Dic10C211yesmaximal, characteristic
3C2×C5×#478C211yesmaximal, characteristic
4C2×#65354C211yesmaximal, characteristic, complemented
5C2×#65307C211yesmaximal, characteristic
6#10612890C2116yesmaximal, direct product factor
7C2×#65164C211yesmaximal, characteristic, complemented
8C2×#65163C211yesmaximal, characteristic, complemented
9C2×#65143C211yesmaximal, characteristic, complemented
10C2×#65145C211yesmaximal, characteristic, complemented
11C2×#65139C211yesmaximal, characteristic, complemented
12C2×#65117C211yesmaximal, characteristic, complemented
13C2×#65055C211yesmaximal, characteristic
14C2×#65048C211yesmaximal, characteristic
15C2×#65046C211yesmaximal, characteristic
16C2×#65047C211yesmaximal, characteristic
17C23×Dic10—21no—
18C2×C5×#125C2211yescharacteristic
19C2×C4×C5×D4C2211yescharacteristic
20C2×D4×Dic5C2211yescharacteristic
21C2×D4×Dic5C2211yescharacteristic
22C22×#687C2211yescharacteristic
23C2×#4070—21no—
24#66019—24no—
25#66019C2218yescomplemented
26D4×Dic10—24no—
27D4×Dic10C2218yes—
28C2×#4036C2211yescharacteristic
29C2×#4035—21no—
30C2×#4035—21no—
31C2×#4034—21no—
32C2×#4034C2211yescharacteristic
33C2×#4034C2211yescharacteristic
34C2×#4034C2211yescharacteristic
35C2×#4033—21no—
36C2×#4033C2211yescharacteristic
37C2×#4033C2211yescharacteristic
38C2×#4024—21no—
39C2×#4024—21no—
40C2×#4015C2211yescharacteristic
41C2×C4×Dic10C2211yescharacteristic
42C2×C4×Dic10C2211yescharacteristic
43C5×#478C2218yes—
44C2×C5×#107C2211yescharacteristic
45C2×C5×#106C2211yescharacteristic
46C2×C5×C4⋊C8C2211yescharacteristic
47C2×C5×#102C2211yescharacteristic
48C2×C5×#102C2211yescharacteristic
49C2×#3964C2211yescharacteristic
50C2×#3950C2211yescharacteristic
51C2×#3950C2211yescharacteristic
52C2×#3948C2211yescharacteristic
53C2×#3948C2211yescharacteristic
54C2×#3947C2211yescharacteristic
55C2×#3946C2211yescharacteristic
56C2×#3946C2211yescharacteristic
57C2×C8×Dic5C2211yescharacteristic
58#65354C2218yescomplemented
59#65307C2218yes—
60C2×#3942C2211yescharacteristic
61C2×#3940C2211yescharacteristic
62C2×#3940C2211yescharacteristic
63C2×#3939C2211yescharacteristic
64C2×#3939C2211yescharacteristic
65C2×#3939C2211yescharacteristic
66C2×#3935C2211yescharacteristic
67#65164C2218yescomplemented
68#65163C2218yescomplemented
69#65145C2218yescomplemented
70#65143C2218yescomplemented
71#65139C2218yescomplemented
72#65117C2218yescomplemented
73#65055C2218yes—
74#65048C2218yes—
75#65047C2218yes—
76#65046C2218yes—
77C2×#3386—51nomaximal, Sylow
78C22×C5×D4C2311yescharacteristic
79C23×C4×C5—21no—
80C23×Dic5—21no—
81C23×Dic5—21no—
82C22×Dic10—21no—
83C22×Dic10—21no—
84C22×Dic10—21no—
85C22×Dic10—21no—
86C22×Dic10—28no—
87C22×Dic10—48no—
88C22×Dic10D411yescharacteristic
89C22×Dic10C2311yescharacteristic
90C22×C5×C8C2311yescharacteristic
91C22×C5×C8C2311yescharacteristic
92C5×#125—22no—
93C5×#125C2314yes—
94C4×C5×D4—22no—
95C4×C5×D4C2314yes—
96C2×C5×C4⋊C4—21no—
97C2×C5×C4⋊C4—21no—
98C2×C5×C4⋊C4C2311yescharacteristic
99C2×C5×C4⋊C4C2311yescharacteristic
100C2×C5×C4⋊C4C2311yescharacteristic
101C2×C5×C22⋊C4—21no—
102C2×C42×C5C2311yescharacteristic
103C2×C22⋊Dic5—21no—
104C2×C22⋊Dic5—21no—
105D4×Dic5—22no—
106D4×Dic5—22no—
107D4×Dic5C2314yes—
108D4×Dic5C2314yes—
109C2×#687Q818yescomplemented
110C2×#687C2314yes—
111C2×C4⋊Dic5—21no—
112C2×C4⋊Dic5—21no—
113C2×C4⋊Dic5D411yescharacteristic
114C2×C4⋊Dic5C2311yescharacteristic
115C2×C4⋊Dic5C2311yescharacteristic
116C2×C4⋊Dic5C2311yescharacteristic
117#4070—28no—
118C2×#683—21no—
119C2×#683—21no—
120C2×#683—21no—
121C2×#683—21no—
122C2×#683—21no—
123C2×#683—21no—
124C2×#683—21no—
125C2×#683D411yescharacteristic
126C2×#683D411yescharacteristic
127C2×C4×Dic5—21no—
128C2×C4×Dic5—21no—
129C2×C4×Dic5—21no—
130C2×C4×Dic5C2311yescharacteristic
131C2×C4×Dic5C2311yescharacteristic
132C22×#168C2311yescharacteristic
133C22×#168C2311yescharacteristic
134#4036—22no—
135#4036C2314yes—
136#4035—28no—
137#4035—28no—
138#4034—28no—
139#4034—22no—
140#4034—22no—
141#4034—22no—
142#4034C2314yes—
143#4034C2314yes—
144#4034C2314yes—
145#4033—28no—
146#4033—22no—
147#4033—22no—
148#4033C2314yes—
149#4033C2314yes—
150#4024—28no—
151#4024—28no—
152#4015—22no—
153#4015C2314yes—
154C4×Dic10—22no—
155C4×Dic10D414yes—
156C4×Dic10C2314yes—
157C4×Dic10C2314yes—
158C5×#107C2314yes—
159C5×#106C2314yes—
160C5×C4⋊C8C2314yes—
161C5×#102C2314yes—
162C5×#102C2314yes—
163#3964C2314yes—
164#3950C2314yes—
165#3950C2314yes—
166#3948C2314yes—
167#3948C2314yes—
168#3947C2314yes—
169#3946C2314yes—
170#3946C2314yes—
171C8×Dic5C2314yes—
172#3942C2314yes—
173#3940C2314yes—
174#3940C2314yes—
175#3939C2314yes—
176#3939C2314yes—
177#3939C2314yes—
178#3935C2314yes—
179C2×#557—51no—
180C2×D4×Q8—51no—
181#3386—516no—
182C2×#501—51no—
183C2×#501—51no—
184C2×#500—51no—
185C2×#477—51no—
186C2×#477—51no—
187C2×#475—51no—
188C2×#478—51no—
189C2×#478D511yescharacteristic
190C2×#474—51no—
191C2×#446—51no—
192C2×#440—51no—
193C2×#440—51no—
194C2×C4×SD16—51no—
195C24×C5—21no—
196C2×C5×D4—21no—
197C2×C5×D4—22no—
198C2×C5×D4C2×Q814yes—
199C2×C5×D4C2412yes—
200C22×C4×C5—21no—
201C22×C4×C5—21no—
202C22×C4×C5—21no—
203C22×C4×C5—24no—
204C22×C4×C5—44no—
205C22×C4×C5C2×D411yescharacteristic
206C22×C4×C5C2×D411yescharacteristic
207C22×C4×C5C2411yescharacteristic
208C22×Dic5—21no—
209C22×Dic5—21no—
210C22×Dic5—21no—
211C22×Dic5—21no—
212C22×Dic5—24no—
213C22×Dic5—24no—
214C22×Dic5—44no—
215C22×Dic5—44no—
216C22×Dic5C2×D411yescharacteristic
217C22×Dic5C2×D411yescharacteristic
218C22×Dic5C2×D411yescharacteristic
219C22×Dic5C2×D411yescharacteristic
220C2×Dic10—21no—
221C2×Dic10—22no—
222C2×Dic10—24no—
223C2×Dic10—24no—
224C2×Dic10—24no—
225C2×Dic10—24no—
226C2×Dic10—24no—
227C2×Dic10—432no—
228C2×Dic10—44no—
229C2×Dic10—44no—
230C2×Dic10—44no—
231C2×Dic10—44no—
232C2×Dic10C2×D414yes—
233C2×Dic10C2×Q814yescomplemented
234C2×Dic10C2412yes—
235C2×C5×C8—22no—
236C2×C5×C8—22no—
237C2×C5×C8C2412yes—
238C2×C5×C8C2412yes—
239C5×C4⋊C4—24no—
240C5×C4⋊C4—24no—
241C5×C4⋊C4—21no—
242C5×C4⋊C4—21no—
243C5×C4⋊C4—21no—
244C5×C4⋊C4C2412yes—
245C5×C4⋊C4C2412yes—
246C5×C4⋊C4C2412yes—
247C5×C22⋊C4—24no—
248C42×C5C2×D412yes—
249C42×C5C2412yes—
250C22⋊Dic5—24no—
251C22⋊Dic5—24no—
252#687C2×Q8116yescomplemented
253C4⋊Dic5—21no—
254C4⋊Dic5—21no—
255C4⋊Dic5—21no—
256C4⋊Dic5—24no—
257C4⋊Dic5—24no—
258C4⋊Dic5C2×D414yes—
259C4⋊Dic5C2412yes—
260C4⋊Dic5C2412yes—
261C4⋊Dic5C2412yes—
262#683—24no—
263#683—24no—
264#683—24no—
265#683—24no—
266#683—24no—
267#683—24no—
268#683—24no—
269#683C2×D414yes—
270#683C2×D414yes—
271C4×Dic5—24no—
272C4×Dic5—24no—
273C4×Dic5—24no—
274C4×Dic5C2×D412yes—
275C4×Dic5C2×D412yes—
276C4×Dic5C2412yes—
277C4×Dic5C2412yes—
278C2×#168—22no—
279C2×#168C2×Q814yescomplemented
280C2×#168C2412yes—
281C2×#168C2412yes—
282C23×Q8—101no—
283C22×SD16—51no—
284#557—58no—
285#557—104no—
286D4×Q8—58no—
287D4×Q8—104no—
288C2×C4⋊Q8—51no—
289C2×C4⋊Q8—51no—
290C2×C4⋊Q8—51no—
291C2×C4⋊Q8—51no—
292C2×C4⋊Q8—101no—
293C2×#125—51no—
294C2×#125—101no—
295C2×#125—101no—
296C2×#125C2×D511yescharacteristic
297C2×C22⋊Q8—101no—
298C2×C22⋊Q8—101no—
299C2×C22⋊Q8—101no—
300C2×C4×Q8—51no—
301C2×C4×Q8—51no—
302C2×C4×Q8—51no—
303C2×C4×Q8—51no—
304C2×C4×Q8—101no—
305C2×C4×D4—51no—
306C2×C4×D4—51no—
307C2×C4×D4C2×D511yescharacteristic
308#501—58no—
309#501—58no—
310#500—58no—
311#478—58no—
312#478C2×D518yes—
313#477—58no—
314#477—58no—
315#475—58no—
316#474—58no—
317#446—58no—
318#440—58no—
319#440—58no—
320C4×SD16—58no—
321C2×#107—51no—
322C2×#107—51no—
323C2×#107—51no—
324C2×#107—51no—
325C2×#107—51no—
326C2×#107C2×D511yescharacteristic
327C2×#106—51no—
328C2×#106—51no—
329C2×#106C2×D511yescharacteristic
330C2×C4⋊C8—51no—
331C2×C4⋊C8—51no—
332C2×C4⋊C8C2×D511yescharacteristic
333C2×#103—51no—
334C2×#103—51no—
335C2×#103—51no—
336C2×#102—51no—
337C2×#102C2×D511yescharacteristic
338C2×#102C2×D511yescharacteristic
339C2×#97—51no—
340C2×#97—51no—
341C2×C4×C8—51no—
342C23×C5—24no—
343C23×C5—22no—
344C23×C5—42no—
345C23×C5—42no—
346C23×C5C22×D411yescharacteristic
347C5×D4—24no—
348C5×D4—22no—
349C5×D4C22×Q814yes—
350C2×C4×C5—22no—
351C2×C4×C5—22no—
352C2×C4×C5—22no—
353C2×C4×C5—22no—
354C2×C4×C5—22no—
355C2×C4×C5—48no—
356C2×C4×C5—42no—
357C2×C4×C5—42no—
358C2×C4×C5—42no—
359C2×C4×C5C22×D412yes—
360C2×C4×C5C22×D412yes—
361C2×C4×C5C22×D411yescharacteristic
362C2×C4×C5C22×Q812yes—
363C2×C4×C52−1+412yes—
364C2×C4×C5C2511yescharacteristic
365C2×Dic5—24no—
366C2×Dic5—22no—
367C2×Dic5—22no—
368C2×Dic5—22no—
369C2×Dic5—22no—
370C2×Dic5—22no—
371C2×Dic5—22no—
372C2×Dic5—22no—
373C2×Dic5—48no—
374C2×Dic5—42no—
375C2×Dic5—42no—
376C2×Dic5—42no—
377C2×Dic5—48no—
378C2×Dic5AGL(1,ℤ/8)14yes—
379C2×Dic5C22×D412yes—
380C2×Dic5C22×D412yes—
381C2×Dic5C22×D412yes—
382C2×Dic5C22×D412yes—
383Dic10—24no—
384Dic10—22no—
385Dic10—28no—
386Dic10—48no—
387Dic10—48no—
388Dic10—48no—
389Dic10—48no—
390Dic10C22×Q814yescomplemented
391C5×C8—22no—
392C5×C8—22no—
393#168—22no—
394#168C22×Q814yescomplemented
395C22×Q8—51no—
396C22×Q8—51no—
397C22×Q8—101no—
398C22×Q8—101no—
399C22×Q8—101no—
400C22×Q8—108no—
401C22×Q8—101no—
402C22×Q8—208no—
403C22×D4C22×D511yescharacteristic
404C23×C4—21no—
405C23×C4—101no—
406C23×C4—101no—
407C2×SD16—58no—
408C2×SD16—54no—
409C22×C8—51no—
410C22×C8—51no—
411C22×C8C22×D511yescharacteristic
412C22×C8C22×D511yescharacteristic
413C4⋊Q8—54no—
414C4⋊Q8—54no—
415C4⋊Q8—54no—
416C4⋊Q8—54no—
417C4⋊Q8—102no—
418C4⋊Q8—102no—
419C4⋊Q8—102no—
420C4⋊Q8—108no—
421C4⋊Q8—102no—
422#125—22no—
423#125—54no—
424#125—102no—
425#125—108no—
426#125—108no—
427#125C22×D514yes—
428C22⋊Q8—108no—
429C22⋊Q8—108no—
430C22⋊Q8—108no—
431C4×Q8—54no—
432C4×Q8—54no—
433C4×Q8—54no—
434C4×Q8—54no—
435C4×Q8—54no—
436C4×Q8—102no—
437C4×Q8—102no—
438C4×Q8—108no—
439C4×Q8—102no—
440C4×D4—22no—
441C4×D4—54no—
442C4×D4—54no—
443C4×D4—102no—
444C4×D4—102no—
445C4×D4C22×D514yes—
446C2×C4⋊C4—21no—
447C2×C4⋊C4—21no—
448C2×C4⋊C4—51no—
449C2×C4⋊C4—51no—
450C2×C4⋊C4—51no—
451C2×C4⋊C4—51no—
452C2×C4⋊C4—51no—
453C2×C4⋊C4—51no—
454C2×C4⋊C4—101no—
455C2×C4⋊C4—101no—
456C2×C4⋊C4—101no—
457C2×C4⋊C4—101no—
458C2×C4⋊C4—101no—
459C2×C4⋊C4—101no—
460C2×C4⋊C4—101no—
461C2×C4⋊C4—101no—
462C2×C4⋊C4—101no—
463C2×C4⋊C4C22×D511yescharacteristic
464C2×C4⋊C4C22×D511yescharacteristic
465C2×C4⋊C4C22×D511yescharacteristic
466C2×C22⋊C4—21no—
467C2×C22⋊C4—101no—
468C2×C22⋊C4—101no—
469C2×C42—51no—
470C2×C42—51no—
471C2×C42—101no—
472C2×C42—101no—
473C2×C42—101no—
474C2×C42C22×D511yescharacteristic
475#107—54no—
476#107—54no—
477#107—54no—
478#107—54no—
479#107—54no—
480#107C22×D514yes—
481#106—54no—
482#106—54no—
483#106C22×D514yes—
484C4⋊C8—54no—
485C4⋊C8—54no—
486C4⋊C8C22×D514yes—
487#103—54no—
488#103—54no—
489#103—54no—
490#102—54no—
491#102C22×D514yes—
492#102C22×D514yes—
493#97—54no—
494#97—54no—
495C4×C8—54no—
496C22×C5—24no—
497C22×C5—48no—
498C22×C5—42no—
499C22×C5—42no—
500C22×C5D4×Q812yes—
501C22×C5C2×AGL(1,ℤ/8)12yes—
502C22×C5#57812yes—
503C22×C5C23×D411yescharacteristic
504C4×C5—22no—
505C4×C5—22no—
506C4×C5—42no—
507C4×C5—42no—
508C4×C5—42no—
509C4×C5D4×Q812yes—
510C4×C5C23×Q811yescharacteristic
511C4×C5C2×2−1+411yescharacteristic
512Dic5—24no—
513Dic5—22no—
514Dic5—22no—
515Dic5—22no—
516Dic5—42no—
517Dic5—42no—
518Dic5—42no—
519Dic5C2×AGL(1,ℤ/8)14yes—
520C24—21no—
521C2×Q8—54no—
522C2×Q8—54no—
523C2×Q8—52no—
524C2×Q8—104no—
525C2×Q8—104no—
526C2×Q8—104no—
527C2×Q8—104no—
528C2×Q8—101no—
529C2×Q8—104no—
530C2×Q8—102no—
531C2×Q8—204no—
532C2×Q8—204no—
533C2×Q8—204no—
534C2×Q8—204no—
535C2×Q8—2032no—
536C2×D4—21no—
537C2×D4—22no—
538C2×D4Q8×D514yes—
539C2×D4C23×D512yes—
540C22×C4—21no—
541C22×C4—21no—
542C22×C4—21no—
543C22×C4—24no—
544C22×C4—44no—
545C22×C4—51no—
546C22×C4—51no—
547C22×C4—51no—
548C22×C4—51no—
549C22×C4—104no—
550C22×C4—104no—
551C22×C4—101no—
552C22×C4—101no—
553C22×C4—101no—
554C22×C4—101no—
555C22×C4—204no—
556C22×C4—204no—
557C22×C4D4×D511yescharacteristic
558C22×C4D4×D511yescharacteristic
559C22×C4C23×D511yescharacteristic
560SD16—516no—
561C2×C8—22no—
562C2×C8—22no—
563C2×C8—54no—
564C2×C8—52no—
565C2×C8—52no—
566C2×C8—102no—
567C2×C8C23×D512yes—
568C2×C8C23×D512yes—
569C4⋊C4—24no—
570C4⋊C4—24no—
571C4⋊C4—21no—
572C4⋊C4—21no—
573C4⋊C4—21no—
574C4⋊C4—54no—
575C4⋊C4—54no—
576C4⋊C4—54no—
577C4⋊C4—52no—
578C4⋊C4—52no—
579C4⋊C4—52no—
580C4⋊C4—104no—
581C4⋊C4—104no—
582C4⋊C4—104no—
583C4⋊C4—104no—
584C4⋊C4—104no—
585C4⋊C4—104no—
586C4⋊C4—104no—
587C4⋊C4—101no—
588C4⋊C4—101no—
589C4⋊C4—101no—
590C4⋊C4—104no—
591C4⋊C4—104no—
592C4⋊C4C23×D512yes—
593C4⋊C4C23×D512yes—
594C4⋊C4C23×D512yes—
595C22⋊C4—24no—
596C22⋊C4—104no—
597C22⋊C4—104no—
598C42—52no—
599C42—52no—
600C42—52no—
601C42—52no—
602C42—104no—
603C42—104no—
604C42—104no—
605C42D4×D512yes—
606C42C23×D512yes—
607C2×C5—44no—
608C2×C5#338614yescomplemented
609C2×C5C2×D4×Q811yescharacteristic
610C2×C5C22×AGL(1,ℤ/8)11yescharacteristic
611C2×C5C2×#57811yescharacteristic
612C23—24no—
613C23—22no—
614C23—42no—
615C23—42no—
616C23C2×D4×D511yescharacteristic
617Q8—54no—
618Q8—108no—
619Q8—104no—
620Q8—102no—
621Q8—208no—
622Q8—208no—
623Q8—208no—
624Q8—208no—
625D4—24no—
626D4—22no—
627D4C2×Q8×D514yes—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—48no—
634C2×C4—42no—
635C2×C4—42no—
636C2×C4—42no—
637C2×C4—54no—
638C2×C4—52no—
639C2×C4—52no—
640C2×C4—52no—
641C2×C4—52no—
642C2×C4—102no—
643C2×C4—102no—
644C2×C4—102no—
645C2×C4—104no—
646C2×C4—102no—
647C2×C4—102no—
648C2×C4—102no—
649C2×C4—102no—
650C2×C4—208no—
651C2×C4—208no—
652C2×C4—202no—
653C2×C4—202no—
654C2×C4—202no—
655C2×C4C2×D4×D512yes—
656C2×C4C2×D4×D512yes—
657C2×C4C2×D4×D511yescharacteristic
658C2×C4C2×Q8×D512yes—
659C2×C4#415012yes—
660C2×C4C24×D511yescharacteristic
661C8—22no—
662C8—22no—
663C8—54no—
664C8—102no—
665C5C2×#338611yescharacteristic, complemented, Sylow
666C22—24no—
667C22—48no—
668C22—42no—
669C22—42no—
670C22#6596612yes—
671C22#6610512yes—
672C22D5×AGL(1,ℤ/8)12yes—
673C22C22×D4×D511yescharacteristic
674C4—22no—
675C4—22no—
676C4—42no—
677C4—42no—
678C4—42no—
679C4—54no—
680C4—104no—
681C4—102no—
682C4—102no—
683C4—102no—
684C4—202no—
685C4—202no—
686C4—202no—
687C4#6596612yes—
688C4C22×Q8×D511yescharacteristic
689C4C2×#415011yescharacteristic
690C2—44no—
691C2#1061289014yesdirect product factor
692C2C2×#6596611yescharacteristic
693C2C2×#6610511yescharacteristic
694C2C2×D5×AGL(1,ℤ/8)11yescharacteristic
subgroupG/H
centerC23C2×D4×D5
commutator, cosocleC2×C4×C5C25
FrattiniC2×C4C24×D5
FittingC2×C5×#478C2
socleC23×C5C22×D4
prime radicalC22×C5×D4C23
hypercenterC2×#478D5
hypocenterC5C2×#3386
LCSG ▷ C2×C4×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#478

Complements

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

NH ≅ G/Ntype
1. C2×#66019C2semidirect
4. C2×#65354C2semidirect
6. #10612890C2direct (N × H)
7. C2×#65164C2semidirect
8. C2×#65163C2semidirect
9. C2×#65143C2semidirect
10. C2×#65145C2semidirect
11. C2×#65139C2semidirect
12. C2×#65117C2semidirect
25. #66019C22semidirect
58. #65354C22semidirect
67. #65164C22semidirect
68. #65163C22semidirect
69. #65145C22semidirect
70. #65143C22semidirect
71. #65139C22semidirect
72. #65117C22semidirect
109. C2×#687Q8semidirect
233. C2×Dic10C2×Q8semidirect
252. #687C2×Q8semidirect
279. C2×#168C2×Q8semidirect
390. Dic10C22×Q8semidirect
394. #168C22×Q8semidirect
608. C2×C5#3386semidirect
665. C5C2×#3386semidirect
691. C2#10612890direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#660192
C2×D4×Dic102
C2×C5×#4782
C2×#653542
C2×#653072
#106128902
C2×#651642
C2×#651632
C2×#651432
C2×#651452
C2×#651392
C2×#651172
C2×#650552
C2×#650482
C2×#650462
C2×#650472
C2×#33865