Finite Group Databasebeta

← C2×#10613196 #12977845

Subgroups — C2×#10613196 #12977845

Order 1280.

1878 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×#65976C211yesmaximal, characteristic
2C2×#65845C211yesmaximal, characteristic
3C2×C5×#484C211yesmaximal, characteristic, complemented
4C2×#65340C211yesmaximal, characteristic, complemented
5C22×#3940C211yesmaximal, characteristic, complemented
6#10613196C2116yesmaximal, direct product factor
7C2×#65166C211yesmaximal, characteristic, complemented
8C2×#65177C211yesmaximal, characteristic, complemented
9C2×#65170C211yesmaximal, characteristic, complemented
10C2×#65165C211yesmaximal, characteristic, complemented
11C2×#65094C211yesmaximal, characteristic, complemented
12C2×#65105C211yesmaximal, characteristic, complemented
13C2×#65080C211yesmaximal, characteristic, complemented
14C2×#65078C211yesmaximal, characteristic, complemented
15C2×#65019C211yesmaximal, characteristic
16C2×#65010C211yesmaximal, characteristic, complemented
17C2×C5×C22⋊Q8C2211yescharacteristic
18C22×C5×C4⋊C4C2211yescharacteristic
19C2×#4092C2211yescharacteristic
20C2×Q8×Dic5C2211yescharacteristic
21C22×#689C2211yescharacteristic
22C2×C4×C22⋊D5—21no—
23C2×C4×C22⋊D5C2211yescharacteristic
24C22×C4⋊Dic5C2211yescharacteristic
25C2×#4070—21no—
26C2×#4070C2211yescharacteristic
27C23×#168C2211yescharacteristic
28C22×#676C2211yescharacteristic
29#65976—24no—
30#65976C2218yes—
31C2×#4044—21no—
32#65845—24no—
33#65845C2218yes—
34C2×#4043C2211yescharacteristic
35C2×#4042—21no—
36C2×#4038C2211yescharacteristic
37C2×D5×C4⋊C4C2211yescharacteristic
38C2×#4036—21no—
39C2×#4036C2211yescharacteristic
40C2×#4035—21no—
41C2×#4034C2211yescharacteristic
42C2×#4033C2211yescharacteristic
43C2×#4032—21no—
44C2×#4023—21no—
45C5×#484C2218yescomplemented
46C2×C5×#107C2211yescharacteristic
47C2×C5×#107C2211yescharacteristic
48C2×C5×#103C2211yescharacteristic
49C2×C5×#103C2211yescharacteristic
50C2×C5×C22⋊C8C2211yescharacteristic
51C2×#3967C2211yescharacteristic
52C2×#3952C2211yescharacteristic
53C2×#3949C2211yescharacteristic
54C2×#3949C2211yescharacteristic
55C2×#3948C2211yescharacteristic
56C2×#3948C2211yescharacteristic
57C2×#3947C2211yescharacteristic
58C2×#3946C2211yescharacteristic
59#65340C2218yescomplemented
60C2×#3942C2211yescharacteristic
61C2×#3940C2211yescharacteristic
62C2×#3940C2211yescharacteristic
63C2×#3940C2211yescharacteristic
64C2×#3940C2211yescharacteristic
65C2×#3940C2218yescomplemented
66C2×#3939C2211yescharacteristic
67#65177C2218yescomplemented
68#65170C2218yescomplemented
69#65166C2218yescomplemented
70#65165C2218yescomplemented
71#65105C2218yescomplemented
72#65094C2218yescomplemented
73#65080C2218yescomplemented
74#65078C2218yescomplemented
75#65019C2218yes—
76#65010C2218yescomplemented
77C2×#3344—51nomaximal, Sylow
78C22×C5×Q8C2311yescharacteristic
79C23×C4×C5—21no—
80C23×C4×C5C2311yescharacteristic
81C22×C22⋊D5D411yescharacteristic
82C23×Dic5—21no—
83C22×C4×D5—21no—
84C22×C4×D5C2311yescharacteristic
85C22×Dic10—21no—
86C22×Dic10C2311yescharacteristic
87C22×C5×C8C2311yescharacteristic
88C22×C5×C8C2311yescharacteristic
89C5×C22⋊Q8—22no—
90C5×C22⋊Q8C2314yes—
91C2×C5×C4⋊C4—21no—
92C2×C5×C4⋊C4—21no—
93C2×C5×C4⋊C4—22no—
94C2×C5×C4⋊C4C2311yescharacteristic
95C2×C5×C4⋊C4C2311yescharacteristic
96C2×C5×C4⋊C4C2311yescharacteristic
97C2×C5×C4⋊C4C2314yes—
98C2×C5×C22⋊C4—21no—
99C2×C22⋊Dic5—21no—
100C2×C22⋊Dic5D411yescharacteristic
101#4092—22no—
102#4092C2314yes—
103Q8×Dic5—22no—
104Q8×Dic5C2314yes—
105C2×#689—24no—
106C2×#689C2314yes—
107C4×C22⋊D5—28no—
108C4×C22⋊D5D414yes—
109C4×C22⋊D5C2314yes—
110C2×#685—21no—
111C2×#685—21no—
112C2×#685—21no—
113C2×#685D411yescharacteristic
114C2×C4⋊Dic5—21no—
115C2×C4⋊Dic5—22no—
116C2×C4⋊Dic5—21no—
117C2×C4⋊Dic5—21no—
118C2×C4⋊Dic5—21no—
119C2×C4⋊Dic5C2311yescharacteristic
120C2×C4⋊Dic5C2311yescharacteristic
121C2×C4⋊Dic5C2311yescharacteristic
122C2×C4⋊Dic5C2314yes—
123#4070—22no—
124#4070—28no—
125#4070C2314yes—
126C2×#683—21no—
127C2×#683—21no—
128C2×#683—21no—
129C2×#683—21no—
130C2×#683—21no—
131C2×#683—21no—
132C2×#683D411yescharacteristic
133C2×C4×Dic5—21no—
134C2×C4×Dic5—21no—
135C2×C4×Dic5—21no—
136C2×C4×Dic5C2311yescharacteristic
137C22×#168—24no—
138C22×#168C2314yes—
139C22×#168C2311yescharacteristic
140C22×#168C2311yescharacteristic
141C2×#676—24no—
142C2×#676C2314yes—
143#4044—28no—
144#4043—22no—
145#4043C2314yes—
146#4042—28no—
147#4038—22no—
148#4038C2314yes—
149D5×C4⋊C4—22no—
150D5×C4⋊C4C2314yes—
151#4036—28no—
152#4036—22no—
153#4036C2314yes—
154#4035—28no—
155#4034—22no—
156#4034C2314yes—
157#4033—22no—
158#4033C2314yes—
159#4032—28no—
160#4023—28no—
161C5×#107C2314yes—
162C5×#107C2314yes—
163C5×#103C2314yes—
164C5×#103C2314yes—
165C5×C22⋊C8C2314yes—
166#3967C2314yes—
167#3952C2314yes—
168#3949C2314yes—
169#3949C2314yes—
170#3948C2314yes—
171#3948C2314yes—
172#3947C2314yes—
173#3946C2314yes—
174#3942C2314yes—
175#3940C2314yes—
176#3940C2314yes—
177#3940C2314yes—
178#3940C2314yes—
179#3939C2314yes—
180C2×#554—51no—
181C2×#552—51no—
182#3344—516no—
183C2×#501—51no—
184C2×#484D511yescharacteristic, complemented
185C2×#485—51no—
186C2×#483—51no—
187C2×#483—51no—
188C2×#479—51no—
189C2×#475—51no—
190C2×#470—51no—
191C2×#467—51no—
192C2×#441—51no—
193C2×#435—51no—
194C2×#428—51no—
195C22×#106—51no—
196C24×C5C2×D411yescharacteristic
197C23×D5C2×D411yescharacteristic
198C2×C5×Q8—21no—
199C2×C5×Q8—22no—
200C2×C5×Q8—22no—
201C2×C5×Q8C2412yes—
202C22×C4×C5—22no—
203C22×C4×C5—22no—
204C22×C4×C5—21no—
205C22×C4×C5—21no—
206C22×C4×C5—21no—
207C22×C4×C5—21no—
208C22×C4×C5—24no—
209C22×C4×C5—82no—
210C22×C4×C5C2×D411yescharacteristic
211C22×C4×C5C2×D412yes—
212C22×C4×C5C2412yes—
213C22×C4×C5C2411yescharacteristic
214C2×C22⋊D5—24no—
215C2×C22⋊D5C2×D414yes—
216C22×Dic5—21no—
217C22×Dic5—21no—
218C22×Dic5—24no—
219C22×Dic5—21no—
220C22×Dic5—21no—
221C22×Dic5—44no—
222C22×Dic5C2×D411yescharacteristic
223C22×Dic5C2×D411yescharacteristic
224C22×Dic5C2×D411yescharacteristic
225C2×C4×D5—22no—
226C2×C4×D5—22no—
227C2×C4×D5—24no—
228C2×C4×D5—82no—
229C2×C4×D5C2×D412yes—
230C2×C4×D5C2412yes—
231C2×Dic10—22no—
232C2×Dic10—22no—
233C2×Dic10—21no—
234C2×Dic10—24no—
235C2×Dic10—82no—
236C2×Dic10C2412yes—
237C2×C5×C8—22no—
238C2×C5×C8—22no—
239C2×C5×C8C2412yes—
240C2×C5×C8C2412yes—
241C5×C4⋊C4—21no—
242C5×C4⋊C4—21no—
243C5×C4⋊C4—24no—
244C5×C4⋊C4—24no—
245C5×C4⋊C4—21no—
246C5×C4⋊C4C2412yes—
247C5×C4⋊C4C2412yes—
248C5×C4⋊C4C2412yes—
249C5×C22⋊C4—24no—
250C22⋊Dic5—24no—
251C22⋊Dic5C2×D414yes—
252#689—28no—
253#685—24no—
254#685—24no—
255#685—24no—
256#685C2×D414yes—
257C4⋊Dic5—21no—
258C4⋊Dic5—24no—
259C4⋊Dic5—21no—
260C4⋊Dic5—21no—
261C4⋊Dic5—24no—
262C4⋊Dic5—24no—
263C4⋊Dic5—24no—
264C4⋊Dic5C2412yes—
265C4⋊Dic5C2412yes—
266C4⋊Dic5C2412yes—
267#683—24no—
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×Dic5C2×D412yes—
278C4×Dic5C2412yes—
279C2×#168—22no—
280C2×#168—28no—
281C2×#168#4114yes—
282C2×#168C2412yes—
283C2×#168C2412yes—
284#676—28no—
285C22×Q16—51no—
286C22×M16—51no—
287C23×C8—51no—
288#554—58no—
289#554—104no—
290#552—58no—
291#552—104no—
292C2×C4⋊Q8—51no—
293C2×#126—101no—
294C2×#125—51no—
295C2×#125—101no—
296C2×#125—101no—
297C2×#123—101no—
298C2×C22⋊Q8—51no—
299C2×C22⋊Q8—51no—
300C2×C22⋊Q8—51no—
301C2×C22⋊Q8—101no—
302C2×C22⋊Q8—101no—
303C2×C22⋊Q8C2×D511yescharacteristic
304C2×C4×Q8—51no—
305C2×C4×Q8—51no—
306C2×C4×D4—51no—
307C2×C4×D4—101no—
308C2×#117—51no—
309C2×#117—101no—
310C22×C4⋊C4—51no—
311C22×C4⋊C4—51no—
312C22×C4⋊C4C2×D511yescharacteristic
313#501—58no—
314#485—58no—
315#484C2×D518yescomplemented
316#483—58no—
317#483—58no—
318#479—58no—
319#475—58no—
320#470—58no—
321#467—58no—
322#441—58no—
323#435—58no—
324#428—58no—
325C2×#107—51no—
326C2×#107C2×D511yescharacteristic
327C2×#107C2×D511yescharacteristic
328C2×#106—51no—
329C2×#106—51no—
330C2×#106—51no—
331C2×#106—51no—
332C2×#106—58no—
333C2×#106—51no—
334C2×#106—51no—
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⋊C8C2×D511yescharacteristic
344C2×#97—51no—
345C23×C5—22no—
346C23×C5—22no—
347C23×C5#13714yes—
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—42no—
357C2×C4×C5—22no—
358C2×C4×C5—24no—
359C2×C4×C5—22no—
360C2×C4×C5—22no—
361C2×C4×C5—22no—
362C2×C4×C5—22no—
363C2×C4×C5—22no—
364C2×C4×C5—22no—
365C2×C4×C5—42no—
366C2×C4×C5—42no—
367C2×C4×C5—42no—
368C2×C4×C5—42no—
369C2×C4×C5—84no—
370C2×C4×C5C22×D412yes—
371C2×C4×C5C22×D411yescharacteristic
372C2×C4×C5C2×#4112yes—
373C2×C4×C52−1+412yes—
374C2×C4×C5C2511yescharacteristic
375C22⋊D5—28no—
376C2×Dic5—22no—
377C2×Dic5—22no—
378C2×Dic5—22no—
379C2×Dic5—22no—
380C2×Dic5—22no—
381C2×Dic5—22no—
382C2×Dic5—22no—
383C2×Dic5—42no—
384C2×Dic5—48no—
385C2×Dic5—42no—
386C2×Dic5—42no—
387C2×Dic5—42no—
388C2×Dic5C22×D412yes—
389C2×Dic5C22×D412yes—
390C2×Dic5C22×D412yes—
391C4×D5—24no—
392C4×D5—22no—
393C4×D5—22no—
394C4×D5—84no—
395Dic10—22no—
396Dic10—22no—
397Dic10—42no—
398Dic10—84no—
399C5×C8—22no—
400C5×C8—22no—
401#168—22no—
402#168C2×#4114yes—
403C22×Q8—51no—
404C22×Q8—101no—
405C22×Q8C22×D511yescharacteristic
406C22×D4—51no—
407C23×C4—21no—
408C23×C4—51no—
409C23×C4—101no—
410C23×C4—101no—
411C23×C4C22×D511yescharacteristic
412C2×Q16—54no—
413C2×Q16—104no—
414C2×M16—54no—
415C2×M16—104no—
416C22×C8—51no—
417C22×C8—51no—
418C22×C8—54no—
419C22×C8—104no—
420C22×C8C22×D511yescharacteristic
421C22×C8C22×D511yescharacteristic
422C4⋊Q8—54no—
423C4⋊Q8—102no—
424#126—108no—
425#125—54no—
426#125—102no—
427#125—108no—
428#125—108no—
429#123—108no—
430C22⋊Q8—22no—
431C22⋊Q8—54no—
432C22⋊Q8—54no—
433C22⋊Q8—54no—
434C22⋊Q8—108no—
435C22⋊Q8—108no—
436C22⋊Q8—102no—
437C22⋊Q8—102no—
438C22⋊Q8—102no—
439C22⋊Q8C22×D514yes—
440C4×Q8—54no—
441C4×Q8—54no—
442C4×Q8—102no—
443C4×Q8—102no—
444C4×D4—54no—
445C4×D4—54no—
446C4×D4—108no—
447#117—54no—
448#117—108no—
449#117—102no—
450C2×C4⋊C4—21no—
451C2×C4⋊C4—22no—
452C2×C4⋊C4—21no—
453C2×C4⋊C4—51no—
454C2×C4⋊C4—51no—
455C2×C4⋊C4—51no—
456C2×C4⋊C4—51no—
457C2×C4⋊C4—54no—
458C2×C4⋊C4—54no—
459C2×C4⋊C4—102no—
460C2×C4⋊C4—101no—
461C2×C4⋊C4—101no—
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—102no—
470C2×C4⋊C4—101no—
471C2×C4⋊C4C22×D511yescharacteristic
472C2×C4⋊C4C22×D511yescharacteristic
473C2×C4⋊C4C22×D514yes—
474C2×C4⋊C4C22×D511yescharacteristic
475C2×C22⋊C4—21no—
476C2×C22⋊C4—51no—
477C2×C22⋊C4—51no—
478C2×C22⋊C4—101no—
479C2×C22⋊C4—101no—
480C2×C22⋊C4—101no—
481C2×C22⋊C4—101no—
482C2×C42—51no—
483C2×C42—101no—
484C2×C42—101no—
485C2×C42—101no—
486#107—54no—
487#107C22×D514yes—
488#107C22×D514yes—
489#106—54no—
490#106—54no—
491#106—54no—
492#106—54no—
493#106—54no—
494#106—54no—
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⋊C8C22×D514yes—
504#97—54no—
505C22×C5—28no—
506C22×C5—22no—
507C22×C5—22no—
508C22×C5#54712yes—
509C22×C5C2×#13714yes—
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—22no—
528Dic5—42no—
529Dic5—42no—
530Dic5—42no—
531Dic5—42no—
532C24—51no—
533C24D4×D511yescharacteristic
534C2×Q8—21no—
535C2×Q8—22no—
536C2×Q8—22no—
537C2×Q8—52no—
538C2×Q8—104no—
539C2×Q8—101no—
540C2×Q8—102no—
541C2×Q8—102no—
542C2×Q8—402no—
543C2×Q8C23×D512yes—
544C2×D4—54no—
545C2×D4—104no—
546C22×C4—22no—
547C22×C4—22no—
548C22×C4—21no—
549C22×C4—21no—
550C22×C4—21no—
551C22×C4—21no—
552C22×C4—24no—
553C22×C4—51no—
554C22×C4—51no—
555C22×C4—51no—
556C22×C4—52no—
557C22×C4—52no—
558C22×C4—82no—
559C22×C4—104no—
560C22×C4—102no—
561C22×C4—102no—
562C22×C4—104no—
563C22×C4—101no—
564C22×C4—101no—
565C22×C4—101no—
566C22×C4—101no—
567C22×C4—204no—
568C22×C4—402no—
569C22×C4D4×D512yes—
570C22×C4D4×D511yescharacteristic
571C22×C4C23×D512yes—
572C22×C4C23×D511yescharacteristic
573Q16—108no—
574M16—108no—
575C2×C8—22no—
576C2×C8—22no—
577C2×C8—54no—
578C2×C8—52no—
579C2×C8—52no—
580C2×C8—108no—
581C2×C8—102no—
582C2×C8C23×D512yes—
583C2×C8C23×D512yes—
584C4⋊C4—21no—
585C4⋊C4—24no—
586C4⋊C4—21no—
587C4⋊C4—24no—
588C4⋊C4—21no—
589C4⋊C4—54no—
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—104no—
601C4⋊C4—101no—
602C4⋊C4—101no—
603C4⋊C4—101no—
604C4⋊C4—104no—
605C4⋊C4—104no—
606C4⋊C4C23×D512yes—
607C4⋊C4C23×D512yes—
608C4⋊C4C23×D512yes—
609C22⋊C4—24no—
610C22⋊C4—54no—
611C22⋊C4—54no—
612C22⋊C4—104no—
613C22⋊C4—104no—
614C22⋊C4—104no—
615C22⋊C4—104no—
616C42—52no—
617C42—52no—
618C42—104no—
619C42—104no—
620C42—104no—
621C2×C5—24no—
622C2×C5#334414yescomplemented
623C2×C5C2×#54711yescharacteristic
624C2×C5C22×#13711yescharacteristic
625C2×C5C2×#57711yescharacteristic
626D5—42no—
627C23—22no—
628C23—22no—
629C23—52no—
630C23—102no—
631C23—102no—
632C23—102no—
633C23#406414yes—
634C23C2×D4×D512yes—
635C23C2×D4×D511yescharacteristic
636Q8—22no—
637Q8—22no—
638Q8—42no—
639Q8—102no—
640Q8—102no—
641Q8—202no—
642Q8—404no—
643D4—108no—
644C2×C4—22no—
645C2×C4—24no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—22no—
651C2×C4—22no—
652C2×C4—42no—
653C2×C4—42no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—52no—
657C2×C4—52no—
658C2×C4—52no—
659C2×C4—84no—
660C2×C4—102no—
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—208no—
671C2×C4—202no—
672C2×C4—202no—
673C2×C4—202no—
674C2×C4—202no—
675C2×C4—404no—
676C2×C4C2×D4×D512yes—
677C2×C4C2×D4×D511yescharacteristic
678C2×C4D5×#4112yes—
679C2×C4#415012yes—
680C2×C4C24×D511yescharacteristic
681C8—22no—
682C8—22no—
683C8—54no—
684C8—102no—
685C5C2×#334411yescharacteristic, complemented, Sylow
686C22—22no—
687C22—28no—
688C22—22no—
689C22—102no—
690C22—102no—
691C22—102no—
692C22—204no—
693C22#6598912yes—
694C22C2×#406414yes—
695C22C2×#406412yes—
696C22#6610912yes—
697C22C22×D4×D511yescharacteristic
698C4—22no—
699C4—42no—
700C4—42no—
701C4—42no—
702C4—42no—
703C4—102no—
704C4—102no—
705C4—102no—
706C4—202no—
707C4—202no—
708C4—202no—
709C4—202no—
710C4#6598912yes—
711C4C2×D5×#4111yescharacteristic
712C4C2×#415011yescharacteristic
713C2—24no—
714C2—202no—
715C2#1061319614yesdirect product factor
716C2C2×#6598911yescharacteristic
717C2C22×#406411yescharacteristic
718C2C2×#6610911yescharacteristic
subgroupG/H
centerC23C2×D4×D5
commutator, cosocleC2×C4×C5C25
FrattiniC2×C4C24×D5
FittingC2×C5×#484C2
socleC23×C5C22×D4
prime radicalC22×C22⋊D5D4
hypercenterC2×#484D5
hypocenterC5C2×#3344
LCSG ▷ C2×C4×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#484

Complements

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

NH ≅ G/Ntype
3. C2×C5×#484C2semidirect
4. C2×#65340C2semidirect
5. C22×#3940C2semidirect
6. #10613196C2direct (N × H)
7. C2×#65166C2semidirect
8. C2×#65177C2semidirect
9. C2×#65170C2semidirect
10. C2×#65165C2semidirect
11. C2×#65094C2semidirect
12. C2×#65105C2semidirect
13. C2×#65080C2semidirect
14. C2×#65078C2semidirect
16. C2×#65010C2semidirect
45. C5×#484C22semidirect
59. #65340C22semidirect
65. C2×#3940C22semidirect
67. #65177C22semidirect
68. #65170C22semidirect
69. #65166C22semidirect
70. #65165C22semidirect
71. #65105C22semidirect
72. #65094C22semidirect
73. #65080C22semidirect
74. #65078C22semidirect
76. #65010C22semidirect
184. C2×#484D5semidirect
315. #484C2×D5semidirect
622. C2×C5#3344semidirect
685. C5C2×#3344semidirect
715. C2#10613196direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#659762
C2×#658452
C2×C5×#4842
C2×#653402
C22×#39402
#106131962
C2×#651662
C2×#651772
C2×#651702
C2×#651652
C2×#650942
C2×#651052
C2×#650802
C2×#650782
C2×#650192
C2×#650102
C2×#33445