Finite Group Databasebeta

← C2×#10610955 #12977848

Subgroups — C2×#10610955 #12977848

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×#65863C211yesmaximal, characteristic
2C2×#65845C211yesmaximal, characteristic
3C2×C5×#428C211yesmaximal, characteristic, complemented
4C2×#65426C211yesmaximal, characteristic, complemented
5C2×#65416C211yesmaximal, characteristic
6C2×#65285C211yesmaximal, characteristic, complemented
7C2×#65260C211yesmaximal, characteristic, complemented
8#10610955C2116yesmaximal, direct product factor
9C2×#65166C211yesmaximal, characteristic, complemented
10C2×#65173C211yesmaximal, characteristic, complemented
11C2×#65176C211yesmaximal, characteristic, complemented
12C2×#65165C211yesmaximal, characteristic, complemented
13C2×#65143C211yesmaximal, characteristic, complemented
14C2×#65151C211yesmaximal, characteristic, complemented
15C2×D5×#106C211yesmaximal, characteristic, complemented
16C2×#65142C211yesmaximal, characteristic, complemented
17C22×C5×M16C2211yescharacteristic
18C2×C5×#117C2211yescharacteristic
19C22×C5×C4⋊C4C2211yescharacteristic
20C2×C4×C22⋊D5—21no—
21C2×C4×C22⋊D5C2211yescharacteristic
22C2×#4070—21no—
23C2×#4070C2211yescharacteristic
24C2×#4070C2211yescharacteristic
25C22×Dic20C2211yescharacteristic
26C22×C8×D5C2211yescharacteristic
27#65863—24no—
28#65863C2218yes—
29#65845—24no—
30#65845C2218yes—
31C2×#4043C2211yescharacteristic
32C2×#4043C2211yescharacteristic
33C2×#4042—21no—
34C2×D5×C4⋊C4C2211yescharacteristic
35C2×D5×C4⋊C4C2211yescharacteristic
36C2×#4036C2211yescharacteristic
37C2×#4035—21no—
38C2×#4034C2211yescharacteristic
39C2×#4033C2211yescharacteristic
40C2×#4033C2211yescharacteristic
41C2×#4029—21no—
42C2×#4025—21no—
43C2×#4018—21no—
44C2×#4016—21no—
45C5×#428C2218yescomplemented
46C2×C5×#107C2211yescharacteristic
47C2×C5×#107C2211yescharacteristic
48C2×C5×#106C2211yescharacteristic
49C2×C5×#106C2211yescharacteristic
50C2×C22⋊#168C2211yescharacteristic
51#65426C2218yescomplemented
52#65416C2218yes—
53C2×#3952C2211yescharacteristic
54C2×#3949C2211yescharacteristic
55C2×#3948C2211yescharacteristic
56C2×#3948C2211yescharacteristic
57C2×#3947C2211yescharacteristic
58C2×#3946C2211yescharacteristic
59#65285C2218yescomplemented
60#65260C2218yescomplemented
61C2×#3942C2211yescharacteristic
62C2×#3942C2211yescharacteristic
63C2×#3942C2211yescharacteristic
64C2×#3942C2211yescharacteristic
65C2×#3940C2211yescharacteristic
66C2×#3940C2211yescharacteristic
67C2×#3940C2211yescharacteristic
68C2×#3939C2211yescharacteristic
69#65176C2218yescomplemented
70#65173C2218yescomplemented
71#65166C2218yescomplemented
72#65165C2218yescomplemented
73#65151C2218yescomplemented
74D5×#106C2218yescomplemented
75#65143C2218yescomplemented
76#65142C2218yescomplemented
77C2×#3344—51nomaximal, Sylow
78C23×C4×C5—21no—
79C23×C4×C5C2311yescharacteristic
80C22×C22⋊D5D411yescharacteristic
81C22×C4×D5—21no—
82C22×C4×D5—21no—
83C22×C4×D5C2311yescharacteristic
84C22×Dic10—21no—
85C22×Dic10C2311yescharacteristic
86C22×Dic10C2311yescharacteristic
87C2×C5×M16—24no—
88C2×C5×M16C2314yes—
89C22×C5×C8C2311yescharacteristic
90C22×C5×C8C2311yescharacteristic
91C5×#117—22no—
92C5×#117C2314yes—
93C2×C5×C4⋊C4—21no—
94C2×C5×C4⋊C4—22no—
95C2×C5×C4⋊C4C2311yescharacteristic
96C2×C5×C4⋊C4C2311yescharacteristic
97C2×C5×C4⋊C4C2311yescharacteristic
98C2×C5×C4⋊C4C2311yescharacteristic
99C2×C5×C4⋊C4C2314yes—
100C2×C5×C22⋊C4—21no—
101C2×C42×C5—21no—
102C2×C22⋊Dic5—21no—
103C2×C22⋊Dic5—21no—
104C2×C22⋊Dic5D411yescharacteristic
105C4×C22⋊D5—28no—
106C4×C22⋊D5D414yes—
107C4×C22⋊D5C2314yes—
108C2×#685—21no—
109C2×#685—21no—
110C2×#685D411yescharacteristic
111C2×C4⋊Dic5—21no—
112C2×C4⋊Dic5—21no—
113C2×C4⋊Dic5—21no—
114C2×C4⋊Dic5C2311yescharacteristic
115C2×C4⋊Dic5C2311yescharacteristic
116#4070—22no—
117#4070—22no—
118#4070—28no—
119#4070C2314yes—
120#4070C2314yes—
121C2×#683—21no—
122C2×#683—21no—
123C2×#683—21no—
124C2×#683—21no—
125C2×#683—21no—
126C2×#683—21no—
127C2×#683—21no—
128C2×#683—21no—
129C2×#683D411yescharacteristic
130C2×C4×Dic5—21no—
131C2×C4×Dic5—21no—
132C2×C4×Dic5C2311yescharacteristic
133C22×#168C2311yescharacteristic
134C22×#168C2311yescharacteristic
135C2×Dic20—24no—
136C2×Dic20C2314yes—
137C2×C8×D5—24no—
138C2×C8×D5C2314yes—
139#4043—22no—
140#4043—22no—
141#4043C2314yes—
142#4043C2314yes—
143#4042—28no—
144D5×C4⋊C4—22no—
145D5×C4⋊C4—22no—
146D5×C4⋊C4C2314yes—
147D5×C4⋊C4C2314yes—
148#4036—22no—
149#4036C2314yes—
150#4035—28no—
151#4034—22no—
152#4034C2314yes—
153#4033—22no—
154#4033—22no—
155#4033C2314yes—
156#4033C2314yes—
157#4029—28no—
158#4025—28no—
159#4018—28no—
160#4016—28no—
161C5×#107C2314yes—
162C5×#107C2314yes—
163C5×#106C2314yes—
164C5×#106C2314yes—
165C22⋊#168C2314yes—
166#3952C2314yes—
167#3949C2314yes—
168#3948C2314yes—
169#3948C2314yes—
170#3947C2314yes—
171#3946C2314yes—
172#3942C2314yes—
173#3942C2314yes—
174#3942C2314yes—
175#3942C2314yes—
176#3940C2314yes—
177#3940C2314yes—
178#3940C2314yes—
179#3939C2314yes—
180C2×#554—51no—
181C2×#552—51no—
182#3344—516no—
183C2×#501—51no—
184C2×#484—51no—
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×#428D511yescharacteristic, complemented
195C22×#106—51no—
196C24×C5C2×D411yescharacteristic
197C23×D5C2×D411yescharacteristic
198C22×C4×C5—22no—
199C22×C4×C5—22no—
200C22×C4×C5—21no—
201C22×C4×C5—21no—
202C22×C4×C5—21no—
203C22×C4×C5—21no—
204C22×C4×C5—24no—
205C22×C4×C5—82no—
206C22×C4×C5C2×D411yescharacteristic
207C22×C4×C5C2×D412yes—
208C22×C4×C5C2412yes—
209C22×C4×C5C2411yescharacteristic
210C2×C22⋊D5—24no—
211C2×C22⋊D5C2×D414yes—
212C22×Dic5—21no—
213C22×Dic5—21no—
214C22×Dic5—21no—
215C22×Dic5—21no—
216C22×Dic5C2×D411yescharacteristic
217C22×Dic5C2×D411yescharacteristic
218C22×Dic5C2×D411yescharacteristic
219C2×C4×D5—22no—
220C2×C4×D5—22no—
221C2×C4×D5—24no—
222C2×C4×D5—24no—
223C2×C4×D5—44no—
224C2×C4×D5—82no—
225C2×C4×D5C2×D412yes—
226C2×C4×D5C2412yes—
227C2×Dic10—22no—
228C2×Dic10—22no—
229C2×Dic10—22no—
230C2×Dic10—22no—
231C2×Dic10—21no—
232C2×Dic10—21no—
233C2×Dic10—24no—
234C2×Dic10—82no—
235C2×Dic10C2412yes—
236C2×Dic10C2412yes—
237C5×M16—28no—
238C2×C5×C8—22no—
239C2×C5×C8#4114yes—
240C2×C5×C8C2412yes—
241C2×C5×C8C2412yes—
242C5×C4⋊C4—21no—
243C5×C4⋊C4—21no—
244C5×C4⋊C4—24no—
245C5×C4⋊C4—21no—
246C5×C4⋊C4—21no—
247C5×C4⋊C4C2412yes—
248C5×C4⋊C4C2412yes—
249C5×C4⋊C4C2412yes—
250C5×C4⋊C4C2412yes—
251C5×C22⋊C4—24no—
252C42×C5—24no—
253C22⋊Dic5—24no—
254C22⋊Dic5—24no—
255C22⋊Dic5C2×D414yes—
256#685—24no—
257#685—24no—
258#685C2×D414yes—
259C4⋊Dic5—21no—
260C4⋊Dic5—21no—
261C4⋊Dic5—24no—
262C4⋊Dic5—24no—
263C4⋊Dic5—24no—
264C4⋊Dic5C2412yes—
265C4⋊Dic5C2412yes—
266#683—24no—
267#683—24no—
268#683—24no—
269#683—24no—
270#683—24no—
271#683—24no—
272#683—24no—
273#683—24no—
274#683C2×D414yes—
275C4×Dic5—24no—
276C4×Dic5—24no—
277C4×Dic5C2×D412yes—
278C4×Dic5C2412yes—
279C2×#168—22no—
280C2×#168—22no—
281C2×#168C2412yes—
282C2×#168C2412yes—
283Dic20—28no—
284C8×D5—28no—
285C22×Q16—51no—
286C22×M16C2×D511yescharacteristic
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—51no—
302C2×C22⋊Q8—101no—
303C2×C22⋊Q8—101no—
304C2×C4×Q8—51no—
305C2×C4×Q8—51no—
306C2×C4×D4—51no—
307C2×C4×D4—101no—
308C2×#117—101no—
309C2×#117C2×D511yescharacteristic
310C22×C4⋊C4—51no—
311C22×C4⋊C4—51no—
312C22×C4⋊C4C2×D511yescharacteristic
313#501—58no—
314#485—58no—
315#484—58no—
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#428C2×D518yescomplemented
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×#106C2×D511yescharacteristic
334C2×#106C2×D511yescharacteristic
335C2×C4⋊C8—51no—
336C2×#103—51no—
337C2×#103—51no—
338C2×#103—51no—
339C2×#103—51no—
340C2×#103—51no—
341C2×#103—51no—
342C2×C22⋊C8—51no—
343C2×C22⋊C8—51no—
344C2×#97—51no—
345C23×C5—22no—
346C23×C5—22no—
347C23×C5—22no—
348C23×C5C22×D412yes—
349C23×C5C22×D411yescharacteristic
350C22×D5—22no—
351C22×D5—22no—
352C22×D5#13714yes—
353C22×D5C22×D412yes—
354C2×C4×C5—22no—
355C2×C4×C5—24no—
356C2×C4×C5—22no—
357C2×C4×C5—22no—
358C2×C4×C5—22no—
359C2×C4×C5—22no—
360C2×C4×C5—22no—
361C2×C4×C5—22no—
362C2×C4×C5—42no—
363C2×C4×C5—42no—
364C2×C4×C5—42no—
365C2×C4×C5—42no—
366C2×C4×C5—84no—
367C2×C4×C5C22×D412yes—
368C2×C4×C5C22×D411yescharacteristic
369C2×C4×C5C2×#4112yes—
370C2×C4×C52−1+412yes—
371C2×C4×C5C2511yescharacteristic
372C22⋊D5—28no—
373C2×Dic5—22no—
374C2×Dic5—22no—
375C2×Dic5—22no—
376C2×Dic5—22no—
377C2×Dic5—22no—
378C2×Dic5—22no—
379C2×Dic5—22no—
380C2×Dic5—42no—
381C2×Dic5—42no—
382C2×Dic5—42no—
383C2×Dic5—42no—
384C2×Dic5C22×D412yes—
385C2×Dic5C22×D412yes—
386C2×Dic5C22×D412yes—
387C4×D5—24no—
388C4×D5—22no—
389C4×D5—22no—
390C4×D5—48no—
391C4×D5—84no—
392Dic10—22no—
393Dic10—22no—
394Dic10—22no—
395Dic10—22no—
396Dic10—42no—
397Dic10—42no—
398Dic10—84no—
399C5×C8—22no—
400C5×C8C2×#4114yes—
401#168—22no—
402#168—22no—
403C22×Q8—51no—
404C22×Q8—51no—
405C22×Q8—101no—
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—24no—
415C2×M16C22×D514yes—
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—108no—
427#125—102no—
428#125—108no—
429#123—108no—
430C22⋊Q8—54no—
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⋊Q8—102no—
440C4×Q8—54no—
441C4×Q8—54no—
442C4×Q8—102no—
443C4×Q8—102no—
444C4×D4—54no—
445C4×D4—54no—
446C4×D4—108no—
447#117—22no—
448#117—108no—
449#117C22×D514yes—
450C2×C4⋊C4—21no—
451C2×C4⋊C4—22no—
452C2×C4⋊C4—51no—
453C2×C4⋊C4—51no—
454C2×C4⋊C4—51no—
455C2×C4⋊C4—54no—
456C2×C4⋊C4—54no—
457C2×C4⋊C4—102no—
458C2×C4⋊C4—102no—
459C2×C4⋊C4—101no—
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—101no—
470C2×C4⋊C4C22×D511yescharacteristic
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—21no—
483C2×C42—51no—
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#106C22×D514yes—
494#106C22×D514yes—
495C4⋊C8—54no—
496#103—54no—
497#103—54no—
498#103—54no—
499#103—54no—
500#103—54no—
501#103—54no—
502C22⋊C8—54no—
503C22⋊C8—54no—
504#97—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—28no—
514C2×D5—22no—
515C2×D5—22no—
516C2×D5C2×#13714yes—
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—52no—
535C2×Q8—52no—
536C2×Q8—104no—
537C2×Q8—101no—
538C2×Q8—101no—
539C2×Q8—102no—
540C2×Q8—102no—
541C2×Q8—102no—
542C2×Q8—102no—
543C2×Q8—402no—
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—104no—
561C22×C4—102no—
562C22×C4—102no—
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—28no—
575C2×C8—22no—
576C2×C8—52no—
577C2×C8—52no—
578C2×C8—102no—
579C2×C8—102no—
580C2×C8—108no—
581C2×C8#70914yes—
582C2×C8C23×D512yes—
583C2×C8C23×D512yes—
584C4⋊C4—21no—
585C4⋊C4—24no—
586C4⋊C4—21no—
587C4⋊C4—21no—
588C4⋊C4—21no—
589C4⋊C4—54no—
590C4⋊C4—52no—
591C4⋊C4—52no—
592C4⋊C4—104no—
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—104no—
604C4⋊C4—104no—
605C4⋊C4C23×D512yes—
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—24no—
617C42—52no—
618C42—52no—
619C42—104no—
620C42—104no—
621C2×C5—42no—
622C2×C5#334414yescomplemented
623C2×C5C2×#54711yescharacteristic
624C2×C5C22×#13711yescharacteristic
625C2×C5C2×#57711yescharacteristic
626D5—24no—
627C23—22no—
628C23—22no—
629C23—22no—
630C23—54no—
631C23—52no—
632C23—102no—
633C23—102no—
634C23C2×D4×D512yes—
635C23C2×D4×D511yescharacteristic
636Q8—102no—
637Q8—102no—
638Q8—102no—
639Q8—102no—
640Q8—202no—
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×#70912yes—
677C2×C4C2×D4×D512yes—
678C2×C4C2×D4×D511yescharacteristic
679C2×C4#414712yes—
680C2×C4C24×D511yescharacteristic
681C8—22no—
682C8—102no—
683C8—102no—
684C8C2×#70914yes—
685C5C2×#334411yescharacteristic, complemented, Sylow
686C22—22no—
687C22—22no—
688C22—22no—
689C22—44no—
690C22—54no—
691C22—108no—
692C22—102no—
693C22—102no—
694C22#6584112yes—
695C22#6610912yes—
696C22D5×#13712yes—
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#6584112yes—
711C4C22×#70911yescharacteristic
712C4C2×#414711yescharacteristic
713C2—42no—
714C2—104no—
715C2#1061095514yesdirect product factor
716C2C2×#6584111yescharacteristic
717C2C2×#6610911yescharacteristic
718C2C2×D5×#13711yescharacteristic
subgroupG/H
centerC23C2×D4×D5
commutator, cosocleC2×C4×C5C25
FrattiniC2×C4C24×D5
FittingC2×C5×#428C2
socleC23×C5C22×D4
prime radicalC22×C22⋊D5D4
hypercenterC2×#428D5
hypocenterC5C2×#3344
LCSG ▷ C2×C4×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#428

Complements

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

NH ≅ G/Ntype
3. C2×C5×#428C2semidirect
4. C2×#65426C2semidirect
6. C2×#65285C2semidirect
7. C2×#65260C2semidirect
8. #10610955C2direct (N × H)
9. C2×#65166C2semidirect
10. C2×#65173C2semidirect
11. C2×#65176C2semidirect
12. C2×#65165C2semidirect
13. C2×#65143C2semidirect
14. C2×#65151C2semidirect
15. C2×D5×#106C2semidirect
16. C2×#65142C2semidirect
45. C5×#428C22semidirect
51. #65426C22semidirect
59. #65285C22semidirect
60. #65260C22semidirect
69. #65176C22semidirect
70. #65173C22semidirect
71. #65166C22semidirect
72. #65165C22semidirect
73. #65151C22semidirect
74. D5×#106C22semidirect
75. #65143C22semidirect
76. #65142C22semidirect
194. C2×#428D5semidirect
324. #428C2×D5semidirect
622. C2×C5#3344semidirect
685. C5C2×#3344semidirect
715. C2#10610955direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#658632
C2×#658452
C2×C5×#4282
C2×#654262
C2×#654162
C2×#652852
C2×#652602
#106109552
C2×#651662
C2×#651732
C2×#651762
C2×#651652
C2×#651432
C2×#651512
C2×D5×#1062
C2×#651422
C2×#33445