Finite Group Databasebeta

← C2×#10612632 #12978033

Subgroups — C2×#10612632 #12978033

Order 1280.

1866 conjugacy classes of subgroups.

The subgroup lattice has 720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#65975C211yesmaximal, characteristic
2C2×#65969C211yesmaximal, characteristic
3C2×C5×#470C211yesmaximal, characteristic, complemented
4C2×#65478C211yesmaximal, characteristic, complemented
5C2×Q16×Dic5C211yesmaximal, characteristic, complemented
6C2×#65417C211yesmaximal, characteristic
7C2×#65410C211yesmaximal, characteristic, complemented
8C2×#65334C211yesmaximal, characteristic, complemented
9C2×#65332C211yesmaximal, characteristic, complemented
10#10612632C2116yesmaximal, direct product factor
11C2×#65150C211yesmaximal, characteristic, complemented
12C2×#65144C211yesmaximal, characteristic, complemented
13C2×#65094C211yesmaximal, characteristic, complemented
14C2×#65103C211yesmaximal, characteristic, complemented
15C2×#65083C211yesmaximal, characteristic, complemented
16C2×#65080C211yesmaximal, characteristic, complemented
17C22×C5×Q16C2211yescharacteristic
18C22×C5×M16C2211yescharacteristic
19C2×C5×C22⋊Q8C2211yescharacteristic
20C2×C5×C22⋊Q8C2211yescharacteristic
21C2×#4092C2211yescharacteristic
22C2×#4092C2211yescharacteristic
23C2×Q8×Dic5C2211yescharacteristic
24C2×Q8×Dic5C2211yescharacteristic
25C2×C4×C22⋊D5C2211yescharacteristic
26C2×#4072C2211yescharacteristic
27C22×C4⋊Dic5C2211yescharacteristic
28C22×#676C2211yescharacteristic
29#65975—24no—
30#65975C2218yes—
31#65969—24no—
32#65969C2218yes—
33C2×#4044—21no—
34C2×#4043—21no—
35C2×#4038C2211yescharacteristic
36C2×D5×C4⋊C4C2211yescharacteristic
37C2×#4035—21no—
38C2×#4034C2211yescharacteristic
39C2×#4034C2211yescharacteristic
40C2×#4033—21no—
41C2×#4031—21no—
42C2×#4027—21no—
43C2×#4025—21no—
44C2×#4024—21no—
45C5×#470C2218yescomplemented
46C2×C5×#106C2211yescharacteristic
47C2×C5×#103C2211yescharacteristic
48C2×C5×#103C2211yescharacteristic
49C2×#3967C2211yescharacteristic
50C2×#3967C2211yescharacteristic
51C2×#3967C2211yescharacteristic
52C2×#3967C2211yescharacteristic
53C2×C22⋊#168C2211yescharacteristic
54#65478C2218yescomplemented
55Q16×Dic5C2218yescomplemented
56#65417C2218yes—
57#65410C2218yescomplemented
58C2×#3952C2211yescharacteristic
59C2×#3950C2211yescharacteristic
60C2×#3950C2211yescharacteristic
61C2×#3949C2211yescharacteristic
62C2×#3949C2211yescharacteristic
63C2×#3946C2211yescharacteristic
64C2×C8×Dic5C2211yescharacteristic
65#65334C2218yescomplemented
66#65332C2218yescomplemented
67C2×#3940C2211yescharacteristic
68C2×#3940C2211yescharacteristic
69C2×#3940C2211yescharacteristic
70C2×#3939C2211yescharacteristic
71#65150C2218yescomplemented
72#65144C2218yescomplemented
73#65103C2218yescomplemented
74#65094C2218yescomplemented
75#65083C2218yescomplemented
76#65080C2218yescomplemented
77C2×#3356—51nomaximal, Sylow
78C22×C5×Q8C2311yescharacteristic
79C22×C5×Q8C2311yescharacteristic
80C23×C4×C5C2311yescharacteristic
81C22×C22⋊D5D411yescharacteristic
82C23×Dic5—21no—
83C22×C4×D5—21no—
84C22×C4×D5C2311yescharacteristic
85C22×Dic10—21no—
86C22×Dic10—21no—
87C2×C5×Q16—24no—
88C2×C5×Q16C2314yes—
89C2×C5×M16—24no—
90C2×C5×M16C2314yes—
91C22×C5×C8C2311yescharacteristic
92C22×C5×C8C2311yescharacteristic
93C5×C22⋊Q8—22no—
94C5×C22⋊Q8—22no—
95C5×C22⋊Q8C2314yes—
96C5×C22⋊Q8C2314yes—
97C2×C5×C4⋊C4—21no—
98C2×C5×C4⋊C4—21no—
99C2×C5×C4⋊C4C2311yescharacteristic
100C2×C5×C4⋊C4C2311yescharacteristic
101C2×C5×C22⋊C4—21no—
102C2×C5×C22⋊C4—21no—
103C2×C22⋊Dic5—21no—
104C2×C22⋊Dic5D411yescharacteristic
105#4092—22no—
106#4092—22no—
107#4092C2314yes—
108#4092C2314yes—
109Q8×Dic5—22no—
110Q8×Dic5—22no—
111Q8×Dic5C2314yes—
112Q8×Dic5C2314yes—
113C4×C22⋊D5D414yes—
114C4×C22⋊D5C2314yes—
115C2×#685—21no—
116C2×#685—21no—
117C2×#685—21no—
118C2×#685D411yescharacteristic
119#4072—22no—
120#4072C2314yes—
121C2×C4⋊Dic5—21no—
122C2×C4⋊Dic5—22no—
123C2×C4⋊Dic5—21no—
124C2×C4⋊Dic5—21no—
125C2×C4⋊Dic5C2311yescharacteristic
126C2×C4⋊Dic5C2311yescharacteristic
127C2×C4⋊Dic5C2311yescharacteristic
128C2×C4⋊Dic5C2311yescharacteristic
129C2×C4⋊Dic5C2314yes—
130C2×#683—21no—
131C2×#683—21no—
132C2×#683—21no—
133C2×#683—21no—
134C2×#683—21no—
135C2×#683D411yescharacteristic
136C2×C4×Dic5—21no—
137C2×C4×Dic5—21no—
138C2×C4×Dic5—21no—
139C2×C4×Dic5—21no—
140C2×C4×Dic5C2311yescharacteristic
141C22×#168C2311yescharacteristic
142C22×#168C2311yescharacteristic
143C2×#676—24no—
144C2×#676C2314yes—
145#4044—28no—
146#4043—28no—
147#4038—22no—
148#4038C2314yes—
149D5×C4⋊C4—22no—
150D5×C4⋊C4C2314yes—
151#4035—28no—
152#4034—22no—
153#4034—22no—
154#4034C2314yes—
155#4034C2314yes—
156#4033—28no—
157#4031—28no—
158#4027—28no—
159#4025—28no—
160#4024—28no—
161C5×#106C2314yes—
162C5×#103C2314yes—
163C5×#103C2314yes—
164#3967C2314yes—
165#3967C2314yes—
166#3967C2314yes—
167#3967C2314yes—
168C22⋊#168C2314yes—
169#3952C2314yes—
170#3950C2314yes—
171#3950C2314yes—
172#3949C2314yes—
173#3949C2314yes—
174#3946C2314yes—
175C8×Dic5C2314yes—
176#3940C2314yes—
177#3940C2314yes—
178#3940C2314yes—
179#3939C2314yes—
180C2×#556—51no—
181C2×#554—51no—
182#3356—516no—
183C2×#498—51no—
184C2×#485—51no—
185C2×#485—51no—
186C2×#483—51no—
187C2×#483—51no—
188C2×#477—51no—
189C2×#475—51no—
190C2×#470—51no—
191C2×#470D511yescharacteristic, complemented
192C2×C4×Q16—51no—
193C2×#436—51no—
194C2×#428—51no—
195C2×#428—51no—
196C24×C5C2×D411yescharacteristic
197C23×D5C2×D411yescharacteristic
198C2×C5×Q8—21no—
199C2×C5×Q8—21no—
200C2×C5×Q8—22no—
201C2×C5×Q8—22no—
202C2×C5×Q8—22no—
203C2×C5×Q8—22no—
204C2×C5×Q8C2412yes—
205C2×C5×Q8C2412yes—
206C22×C4×C5—22no—
207C22×C4×C5—22no—
208C22×C4×C5—21no—
209C22×C4×C5—21no—
210C22×C4×C5—21no—
211C22×C4×C5—21no—
212C22×C4×C5C2×D411yescharacteristic
213C22×C4×C5C2×D412yes—
214C22×C4×C5C2412yes—
215C22×C4×C5C2411yescharacteristic
216C2×C22⋊D5—24no—
217C2×C22⋊D5C2×D414yes—
218C22×Dic5—21no—
219C22×Dic5—21no—
220C22×Dic5—21no—
221C22×Dic5—21no—
222C22×Dic5—24no—
223C22×Dic5—82no—
224C22×Dic5C2×D411yescharacteristic
225C22×Dic5C2×D411yescharacteristic
226C22×Dic5C2×D411yescharacteristic
227C2×C4×D5—22no—
228C2×C4×D5—22no—
229C2×C4×D5—24no—
230C2×C4×D5—82no—
231C2×C4×D5C2×D412yes—
232C2×C4×D5C2412yes—
233C2×Dic10—24no—
234C2×Dic10—24no—
235C2×Dic10—44no—
236C2×Dic10—82no—
237C5×Q16—28no—
238C5×M16—28no—
239C2×C5×C8—22no—
240C2×C5×C8#4114yes—
241C2×C5×C8C2412yes—
242C2×C5×C8C2412yes—
243C5×C4⋊C4—24no—
244C5×C4⋊C4—24no—
245C5×C4⋊C4—21no—
246C5×C4⋊C4—21no—
247C5×C4⋊C4C2412yes—
248C5×C4⋊C4C2412yes—
249C5×C22⋊C4—24no—
250C5×C22⋊C4—24no—
251C22⋊Dic5—24no—
252C22⋊Dic5C2×D414yes—
253#685—24no—
254#685—24no—
255#685—24no—
256#685C2×D414yes—
257C4⋊Dic5—21no—
258C4⋊Dic5—21no—
259C4⋊Dic5—24no—
260C4⋊Dic5—21no—
261C4⋊Dic5—21no—
262C4⋊Dic5—24no—
263C4⋊Dic5—24no—
264C4⋊Dic5C2412yes—
265C4⋊Dic5C2412yes—
266C4⋊Dic5C2412yes—
267C4⋊Dic5C2412yes—
268#683—24no—
269#683—24no—
270#683—24no—
271#683—24no—
272#683—24no—
273#683C2×D414yes—
274C4×Dic5—24no—
275C4×Dic5—24no—
276C4×Dic5—24no—
277C4×Dic5—24no—
278C4×Dic5C2×D412yes—
279C4×Dic5C2412yes—
280C2×#168—22no—
281C2×#168—22no—
282C2×#168C2412yes—
283C2×#168C2412yes—
284#676—28no—
285C22×Q16C2×D511yescharacteristic
286C22×M16—51no—
287C22×M16C2×D511yescharacteristic
288#556—58no—
289#556—104no—
290#554—58no—
291#554—104no—
292C2×C4⋊Q8—51no—
293C2×C4⋊Q8—51no—
294C2×#126—101no—
295C2×#126—101no—
296C2×#125—101no—
297C2×#124—101no—
298C2×C22⋊Q8—51no—
299C2×C22⋊Q8—51no—
300C2×C22⋊Q8—101no—
301C2×C22⋊Q8—101no—
302C2×C22⋊Q8C2×D511yescharacteristic
303C2×C22⋊Q8C2×D511yescharacteristic
304C2×C4×Q8—51no—
305C2×C4×Q8—51no—
306C2×C4×Q8—101no—
307C2×C4×D4—51no—
308C2×C4×D4—101no—
309C2×#117—51no—
310C2×#117—51no—
311C22×C4⋊C4—51no—
312C22×C4⋊C4—51no—
313#498—58no—
314#485—58no—
315#485—58no—
316#483—58no—
317#483—58no—
318#477—58no—
319#475—58no—
320#470—58no—
321#470C2×D518yescomplemented
322C4×Q16—58no—
323#436—58no—
324#428—58no—
325#428—58no—
326C2×#107—51no—
327C2×#107—51no—
328C2×#107—51no—
329C2×#106—51no—
330C2×#106—51no—
331C2×#106—51no—
332C2×#106—51no—
333C2×#106—51no—
334C2×#106C2×D511yescharacteristic
335C2×C4⋊C8—51no—
336C2×#103—51no—
337C2×#103—51no—
338C2×#103—51no—
339C2×#103—51no—
340C2×#103C2×D511yescharacteristic
341C2×#103C2×D511yescharacteristic
342C2×C22⋊C8—51no—
343C2×C22⋊C8—51no—
344C2×C4×C8—51no—
345C23×C5—22no—
346C23×C5—22no—
347C23×C5—22no—
348C23×C5C22×D412yes—
349C23×C5C22×D411yescharacteristic
350C22×D5—22no—
351C22×D5—22no—
352C22×D5—22no—
353C22×D5C22×D412yes—
354C5×Q8—22no—
355C5×Q8—22no—
356C5×Q8—22no—
357C5×Q8—22no—
358C5×Q8—42no—
359C5×Q8—42no—
360C2×C4×C5—22no—
361C2×C4×C5—24no—
362C2×C4×C5—22no—
363C2×C4×C5—22no—
364C2×C4×C5—22no—
365C2×C4×C5—22no—
366C2×C4×C5—22no—
367C2×C4×C5—22no—
368C2×C4×C5—42no—
369C2×C4×C5—42no—
370C2×C4×C5—42no—
371C2×C4×C5—42no—
372C2×C4×C5C22×D412yes—
373C2×C4×C5C22×D411yescharacteristic
374C2×C4×C5C2×#4112yes—
375C2×C4×C52−1+412yes—
376C2×C4×C5C2511yescharacteristic
377C22⋊D5—28no—
378C2×Dic5—22no—
379C2×Dic5—22no—
380C2×Dic5—22no—
381C2×Dic5—22no—
382C2×Dic5—22no—
383C2×Dic5—22no—
384C2×Dic5—42no—
385C2×Dic5—42no—
386C2×Dic5—42no—
387C2×Dic5—42no—
388C2×Dic5—84no—
389C2×Dic5#13714yes—
390C2×Dic5C22×D412yes—
391C2×Dic5C22×D412yes—
392C2×Dic5C22×D412yes—
393C4×D5—24no—
394C4×D5—22no—
395C4×D5—22no—
396C4×D5—84no—
397Dic10—48no—
398Dic10—84no—
399C5×C8—22no—
400C5×C8C2×#4114yes—
401#168—22no—
402#168—22no—
403C22×Q8—101no—
404C22×Q8—101no—
405C22×Q8C22×D511yescharacteristic
406C22×Q8C22×D511yescharacteristic
407C22×D4—51no—
408C23×C4—51no—
409C23×C4—101no—
410C23×C4—101no—
411C23×C4C22×D511yescharacteristic
412C2×Q16—24no—
413C2×Q16C22×D514yes—
414C2×M16—24no—
415C2×M16—54no—
416C2×M16—104no—
417C2×M16C22×D514yes—
418C22×C8—51no—
419C22×C8—51no—
420C22×C8C22×D511yescharacteristic
421C22×C8C22×D511yescharacteristic
422C4⋊Q8—54no—
423C4⋊Q8—54no—
424C4⋊Q8—102no—
425C4⋊Q8—102no—
426#126—108no—
427#126—108no—
428#125—108no—
429#124—108no—
430C22⋊Q8—22no—
431C22⋊Q8—22no—
432C22⋊Q8—54no—
433C22⋊Q8—54no—
434C22⋊Q8—108no—
435C22⋊Q8—108no—
436C22⋊Q8—102no—
437C22⋊Q8—102no—
438C22⋊Q8C22×D514yes—
439C22⋊Q8C22×D514yes—
440C4×Q8—54no—
441C4×Q8—54no—
442C4×Q8—102no—
443C4×Q8—102no—
444C4×Q8—108no—
445C4×D4—54no—
446C4×D4—54no—
447C4×D4—108no—
448#117—54no—
449#117—54no—
450#117—102no—
451#117—102no—
452C2×C4⋊C4—21no—
453C2×C4⋊C4—21no—
454C2×C4⋊C4—51no—
455C2×C4⋊C4—51no—
456C2×C4⋊C4—51no—
457C2×C4⋊C4—54no—
458C2×C4⋊C4—51no—
459C2×C4⋊C4—51no—
460C2×C4⋊C4—54no—
461C2×C4⋊C4—102no—
462C2×C4⋊C4—101no—
463C2×C4⋊C4—101no—
464C2×C4⋊C4—101no—
465C2×C4⋊C4—101no—
466C2×C4⋊C4—101no—
467C2×C4⋊C4—101no—
468C2×C4⋊C4—101no—
469C2×C4⋊C4—101no—
470C2×C4⋊C4—102no—
471C2×C4⋊C4C22×D511yescharacteristic
472C2×C4⋊C4C22×D511yescharacteristic
473C2×C22⋊C4—21no—
474C2×C22⋊C4—21no—
475C2×C22⋊C4—51no—
476C2×C22⋊C4—51no—
477C2×C22⋊C4—101no—
478C2×C22⋊C4—101no—
479C2×C22⋊C4—101no—
480C2×C22⋊C4—101no—
481C2×C42—51no—
482C2×C42—101no—
483C2×C42—101no—
484C2×C42—101no—
485C2×C42—101no—
486#107—54no—
487#107—54no—
488#107—54no—
489#106—54no—
490#106—54no—
491#106—54no—
492#106—54no—
493#106—54no—
494#106C22×D514yes—
495C4⋊C8—54no—
496#103—54no—
497#103—54no—
498#103—54no—
499#103—54no—
500#103C22×D514yes—
501#103C22×D514yes—
502C22⋊C8—54no—
503C22⋊C8—54no—
504C4×C8—54no—
505C22×C5—22no—
506C22×C5—22no—
507C22×C5—22no—
508C22×C5—44no—
509C22×C5#54712yes—
510C22×C5C2×#13712yes—
511C22×C5#57712yes—
512C22×C5C23×D411yescharacteristic
513C2×D5—22no—
514C2×D5—22no—
515C2×D5—22no—
516C2×D5—44no—
517C4×C5—22no—
518C4×C5—42no—
519C4×C5—42no—
520C4×C5—42no—
521C4×C5—42no—
522C4×C5#54712yes—
523C4×C5C22×#4111yescharacteristic
524C4×C5C2×2−1+411yescharacteristic
525Dic5—22no—
526Dic5—22no—
527Dic5—42no—
528Dic5—42no—
529Dic5—42no—
530Dic5—42no—
531Dic5C2×#13714yes—
532C24—51no—
533C24D4×D511yescharacteristic
534C2×Q8—21no—
535C2×Q8—21no—
536C2×Q8—22no—
537C2×Q8—22no—
538C2×Q8—22no—
539C2×Q8—22no—
540C2×Q8—104no—
541C2×Q8—104no—
542C2×Q8—204no—
543C2×Q8—402no—
544C2×Q8C23×D512yes—
545C2×Q8C23×D512yes—
546C2×D4—54no—
547C2×D4—104no—
548C22×C4—22no—
549C22×C4—22no—
550C22×C4—21no—
551C22×C4—21no—
552C22×C4—21no—
553C22×C4—21no—
554C22×C4—51no—
555C22×C4—51no—
556C22×C4—51no—
557C22×C4—52no—
558C22×C4—52no—
559C22×C4—104no—
560C22×C4—102no—
561C22×C4—102no—
562C22×C4—101no—
563C22×C4—101no—
564C22×C4—101no—
565C22×C4—101no—
566C22×C4—104no—
567C22×C4—402no—
568C22×C4—402no—
569C22×C4D4×D512yes—
570C22×C4D4×D511yescharacteristic
571C22×C4C23×D512yes—
572C22×C4C23×D511yescharacteristic
573Q16—28no—
574M16—28no—
575M16—108no—
576C2×C8—22no—
577C2×C8—52no—
578C2×C8—52no—
579C2×C8—102no—
580C2×C8—102no—
581C2×C8#71114yes—
582C2×C8C23×D512yes—
583C2×C8C23×D512yes—
584C4⋊C4—24no—
585C4⋊C4—24no—
586C4⋊C4—21no—
587C4⋊C4—21no—
588C4⋊C4—54no—
589C4⋊C4—52no—
590C4⋊C4—52no—
591C4⋊C4—52no—
592C4⋊C4—52no—
593C4⋊C4—104no—
594C4⋊C4—104no—
595C4⋊C4—104no—
596C4⋊C4—104no—
597C4⋊C4—104no—
598C4⋊C4—104no—
599C4⋊C4—104no—
600C4⋊C4—101no—
601C4⋊C4—104no—
602C4⋊C4—101no—
603C4⋊C4—101no—
604C4⋊C4—101no—
605C4⋊C4C23×D512yes—
606C4⋊C4C23×D512yes—
607C22⋊C4—24no—
608C22⋊C4—24no—
609C22⋊C4—54no—
610C22⋊C4—54no—
611C22⋊C4—104no—
612C22⋊C4—104no—
613C22⋊C4—104no—
614C22⋊C4—104no—
615C42—52no—
616C42—52no—
617C42—104no—
618C42—104no—
619C42—104no—
620C42—104no—
621C2×C5—42no—
622C2×C5#335614yescomplemented
623C2×C5C2×#54711yescharacteristic
624C2×C5C22×#13711yescharacteristic
625C2×C5C2×#57711yescharacteristic
626D5—42no—
627C23—22no—
628C23—22no—
629C23—22no—
630C23—52no—
631C23—102no—
632C23—102no—
633C23—102no—
634C23C2×D4×D512yes—
635C23C2×D4×D511yescharacteristic
636Q8—22no—
637Q8—22no—
638Q8—22no—
639Q8—22no—
640Q8—42no—
641Q8—42no—
642Q8—208no—
643Q8—404no—
644D4—108no—
645C2×C4—22no—
646C2×C4—24no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—22no—
651C2×C4—22no—
652C2×C4—22no—
653C2×C4—42no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—42no—
657C2×C4—54no—
658C2×C4—52no—
659C2×C4—52no—
660C2×C4—52no—
661C2×C4—102no—
662C2×C4—102no—
663C2×C4—104no—
664C2×C4—102no—
665C2×C4—102no—
666C2×C4—102no—
667C2×C4—102no—
668C2×C4—102no—
669C2×C4—102no—
670C2×C4—202no—
671C2×C4—202no—
672C2×C4—202no—
673C2×C4—202no—
674C2×C4—404no—
675C2×C4—404no—
676C2×C4C2×D4×D512yes—
677C2×C4C2×D4×D511yescharacteristic
678C2×C4C2×#71112yes—
679C2×C4#415012yes—
680C2×C4C24×D511yescharacteristic
681C8—22no—
682C8—102no—
683C8—102no—
684C8C2×#71114yes—
685C5C2×#335611yescharacteristic, complemented, Sylow
686C22—22no—
687C22—22no—
688C22—22no—
689C22—44no—
690C22—102no—
691C22—102no—
692C22—102no—
693C22—204no—
694C22#6594512yes—
695C22D5×#13712yes—
696C22#6611212yes—
697C22C22×D4×D511yescharacteristic
698C4—22no—
699C4—42no—
700C4—42no—
701C4—42no—
702C4—42no—
703C4—54no—
704C4—102no—
705C4—102no—
706C4—202no—
707C4—202no—
708C4—202no—
709C4—202no—
710C4#6594512yes—
711C4C22×#71111yescharacteristic
712C4C2×#415011yescharacteristic
713C2—42no—
714C2—202no—
715C2#1061263214yesdirect product factor
716C2C2×#6594511yescharacteristic
717C2C2×D5×#13711yescharacteristic
718C2C2×#6611211yescharacteristic
subgroupG/H
centerC23C2×D4×D5
commutator, cosocleC2×C4×C5C25
FrattiniC2×C4C24×D5
FittingC2×C5×#470C2
socleC23×C5C22×D4
prime radicalC22×C22⋊D5D4
hypercenterC2×#470D5
hypocenterC5C2×#3356
LCSG ▷ C2×C4×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#470

Complements

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

NH ≅ G/Ntype
3. C2×C5×#470C2semidirect
4. C2×#65478C2semidirect
5. C2×Q16×Dic5C2semidirect
7. C2×#65410C2semidirect
8. C2×#65334C2semidirect
9. C2×#65332C2semidirect
10. #10612632C2direct (N × H)
11. C2×#65150C2semidirect
12. C2×#65144C2semidirect
13. C2×#65094C2semidirect
14. C2×#65103C2semidirect
15. C2×#65083C2semidirect
16. C2×#65080C2semidirect
45. C5×#470C22semidirect
54. #65478C22semidirect
55. Q16×Dic5C22semidirect
57. #65410C22semidirect
65. #65334C22semidirect
66. #65332C22semidirect
71. #65150C22semidirect
72. #65144C22semidirect
73. #65103C22semidirect
74. #65094C22semidirect
75. #65083C22semidirect
76. #65080C22semidirect
191. C2×#470D5semidirect
321. #470C2×D5semidirect
622. C2×C5#3356semidirect
685. C5C2×#3356semidirect
715. C2#10612632direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#659752
C2×#659692
C2×C5×#4702
C2×#654782
C2×Q16×Dic52
C2×#654172
C2×#654102
C2×#653342
C2×#653322
#106126322
C2×#651502
C2×#651442
C2×#650942
C2×#651032
C2×#650832
C2×#650802
C2×#33565