Finite Group Databasebeta

← C2×#10615208 #12971489

Subgroups — C2×#10615208 #12971489

Order 1280.

1806 conjugacy classes of subgroups.

The subgroup lattice has 726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C5×#544C211yesmaximal, characteristic, complemented
2C2×#65869C211yesmaximal, characteristic
3#10615208C2116yesmaximal, direct product factor
4C2×#65373C211yesmaximal, characteristic, complemented
5C2×#65376C211yesmaximal, characteristic, complemented
6C2×#65369C211yesmaximal, characteristic, complemented
7C2×#65377C211yesmaximal, characteristic, complemented
8C2×#65355C211yesmaximal, characteristic, complemented
9C2×#65355C211yesmaximal, characteristic, complemented
10C2×#65353C211yesmaximal, characteristic, complemented
11C2×#65356C211yesmaximal, characteristic, complemented
12C2×#65292C211yesmaximal, characteristic, complemented
13C2×#65292C211yesmaximal, characteristic, complemented
14C2×#65289C211yesmaximal, characteristic, complemented
15C2×#65257C211yesmaximal, characteristic, complemented
16C2×#65256C211yesmaximal, characteristic, complemented
17C5×#544—24no—
18C5×#544C2218yescomplemented
19C2×C5×C4⋊Q8—21no—
20C2×C5×C4⋊Q8C2211yescharacteristic
21C2×C5×C4⋊Q8C2211yescharacteristic
22C2×C5×#125—21no—
23C2×C5×#125C2211yescharacteristic
24C2×C5×#125C2211yescharacteristic
25C2×C5×C22⋊Q8—21no—
26C2×C5×C22⋊Q8—21no—
27C2×C5×#117C2211yescharacteristic
28C2×C5×#117C2211yescharacteristic
29C22×C5×C4⋊C4C2211yescharacteristic
30C2×#4076C2211yescharacteristic
31C2×#4076C2211yescharacteristic
32#65869—24no—
33#65869C2218yes—
34C2×#4040—21no—
35C2×#4040—21no—
36C2×#4030—21no—
37C2×#4030—21no—
38C2×#4020C2211yescharacteristic
39C2×C4×D20C2211yescharacteristic
40C2×C4×D20C2211yescharacteristic
41C2×#4016C2211yescharacteristic
42C2×C22⋊#168C2211yescharacteristic
43C2×C22⋊#168C2211yescharacteristic
44#65377C2218yescomplemented
45#65376C2218yescomplemented
46#65373C2218yescomplemented
47#65369C2218yescomplemented
48#65356C2218yescomplemented
49#65355C2218yescomplemented
50#65355C2218yescomplemented
51#65353C2218yescomplemented
52#65292C2218yescomplemented
53#65292C2218yescomplemented
54#65289C2218yescomplemented
55#65257C2218yescomplemented
56#65256C2218yescomplemented
57C2×#3941C2211yescharacteristic
58C2×#3941C2211yescharacteristic
59C2×#3941C2211yescharacteristic
60C2×#3941C2211yescharacteristic
61C2×#3941C2211yescharacteristic
62C2×#3941C2211yescharacteristic
63C2×#3941C2211yescharacteristic
64C2×#3941C2211yescharacteristic
65C2×#3940C2211yescharacteristic
66C2×#3940C2211yescharacteristic
67C2×#3940C2211yescharacteristic
68C2×#3940C2211yescharacteristic
69C2×#3939C2211yescharacteristic
70C2×#3939C2211yescharacteristic
71C2×#3939C2211yescharacteristic
72C2×#3939C2211yescharacteristic
73C2×C4⋊#168C2211yescharacteristic
74C2×C4⋊#168C2211yescharacteristic
75C2×#3935C2211yescharacteristic
76C2×C4×#168C2211yescharacteristic
77C2×#3241—51nomaximal, Sylow
78C22×C5×Q8—21no—
79C22×C5×Q8—21no—
80C23×C4×C5—21no—
81C23×C4×C5C2311yescharacteristic
82C22×C22⋊D5—21no—
83C22×C22⋊D5—21no—
84C22×D20—21no—
85C22×D20—21no—
86C22×D20C2311yescharacteristic
87C22×D20C2311yescharacteristic
88C22×C4×D5—21no—
89C22×C4×D5—21no—
90C5×C4⋊Q8—28no—
91C5×C4⋊Q8—22no—
92C5×C4⋊Q8—22no—
93C5×C4⋊Q8C2314yes—
94C5×C4⋊Q8C2314yes—
95C5×#125—28no—
96C5×#125—22no—
97C5×#125—22no—
98C5×#125C2314yes—
99C5×#125C2314yes—
100C5×C22⋊Q8—28no—
101C5×C22⋊Q8—28no—
102C5×#117—22no—
103C5×#117D414yes—
104C5×#117C2314yes—
105C5×#117C2314yes—
106C2×C5×C4⋊C4—21no—
107C2×C5×C4⋊C4—22no—
108C2×C5×C4⋊C4—21no—
109C2×C5×C4⋊C4—21no—
110C2×C5×C4⋊C4—21no—
111C2×C5×C4⋊C4—21no—
112C2×C5×C4⋊C4—21no—
113C2×C5×C4⋊C4—21no—
114C2×C5×C4⋊C4D411yescharacteristic
115C2×C5×C4⋊C4D411yescharacteristic
116C2×C5×C4⋊C4C2311yescharacteristic
117C2×C5×C4⋊C4C2311yescharacteristic
118C2×C5×C4⋊C4C2314yes—
119C2×C5×C4⋊C4C2311yescharacteristic
120C2×C5×C4⋊C4C2311yescharacteristic
121C2×C5×C22⋊C4—21no—
122C2×C5×C22⋊C4D411yescharacteristic
123C2×C5×C22⋊C4D411yescharacteristic
124C2×C42×C5—21no—
125C2×C42×C5C2311yescharacteristic
126C2×C42×C5C2311yescharacteristic
127#4076—22no—
128#4076—22no—
129#4076C2314yes—
130#4076C2314yes—
131C2×#685—21no—
132C2×#685—21no—
133C2×#685—21no—
134C2×#685—21no—
135C2×C4⋊Dic5C2311yescharacteristic
136C2×C4⋊Dic5C2311yescharacteristic
137C2×#683—21no—
138C2×#683—21no—
139C22×#168C2311yescharacteristic
140C22×#168C2311yescharacteristic
141C22×#168C2311yescharacteristic
142C22×#168C2311yescharacteristic
143#4040—28no—
144#4040—28no—
145#4030—28no—
146#4030—28no—
147#4020—22no—
148#4020C2314yes—
149C4×D20—22no—
150C4×D20—22no—
151C4×D20C2314yes—
152C4×D20C2314yes—
153#4016—22no—
154#4016C2314yes—
155C22⋊#168C2314yes—
156C22⋊#168C2314yes—
157#3941C2314yes—
158#3941C2314yes—
159#3941C2314yes—
160#3941C2314yes—
161#3941C2314yes—
162#3941C2314yes—
163#3941C2314yes—
164#3941C2314yes—
165#3940C2314yes—
166#3940C2314yes—
167#3940C2314yes—
168#3940C2314yes—
169#3939C2314yes—
170#3939C2314yes—
171#3939C2314yes—
172#3939C2314yes—
173C4⋊#168C2314yes—
174C4⋊#168C2314yes—
175#3935C2314yes—
176C4×#168C2314yes—
177C2×#544D511yescharacteristic, complemented
178C2×#540—51no—
179#3241—516no—
180C2×#501—51no—
181C2×#499—51no—
182C2×#490—51no—
183C2×#486—51no—
184C2×#481—51no—
185C2×#482—51no—
186C2×#482—51no—
187C2×#480—51no—
188C2×#478—51no—
189C2×#478—51no—
190C2×#476—51no—
191C2×#474—51no—
192C2×#433—51no—
193C24×C5C2×D411yescharacteristic
194C23×D5—21no—
195C23×D5—21no—
196C2×C5×Q8—24no—
197C2×C5×Q8—24no—
198C2×C5×Q8—82no—
199C2×C5×Q8—82no—
200C22×C4×C5—22no—
201C22×C4×C5—22no—
202C22×C4×C5—21no—
203C22×C4×C5—21no—
204C22×C4×C5—21no—
205C22×C4×C5—21no—
206C22×C4×C5—24no—
207C22×C4×C5—82no—
208C22×C4×C5C2×D411yescharacteristic
209C22×C4×C5C2×D411yescharacteristic
210C22×C4×C5C2×D411yescharacteristic
211C22×C4×C5C2×D411yescharacteristic
212C22×C4×C5C2×D411yescharacteristic
213C22×C4×C5C2×D412yes—
214C22×C4×C5C2412yes—
215C22×C4×C5C2411yescharacteristic
216C2×C22⋊D5—24no—
217C2×C22⋊D5—24no—
218C2×C22⋊D5—82no—
219C2×C22⋊D5—82no—
220C22×Dic5—21no—
221C22×Dic5—21no—
222C2×D20—22no—
223C2×D20—22no—
224C2×D20—22no—
225C2×D20—22no—
226C2×D20—21no—
227C2×D20—21no—
228C2×D20—24no—
229C2×D20—24no—
230C2×D20—82no—
231C2×D20—82no—
232C2×D20C2412yes—
233C2×D20C2412yes—
234C2×C4×D5—24no—
235C2×C4×D5—24no—
236C2×C4×D5—82no—
237C2×C4×D5—82no—
238C5×C4⋊C4—24no—
239C5×C4⋊C4—21no—
240C5×C4⋊C4—21no—
241C5×C4⋊C4—24no—
242C5×C4⋊C4—24no—
243C5×C4⋊C4—24no—
244C5×C4⋊C4—24no—
245C5×C4⋊C4—24no—
246C5×C4⋊C4—24no—
247C5×C4⋊C4—21no—
248C5×C4⋊C4—21no—
249C5×C4⋊C4C2×D414yes—
250C5×C4⋊C4C2×D414yes—
251C5×C4⋊C4C2412yes—
252C5×C4⋊C4C2412yes—
253C5×C4⋊C4C2412yes—
254C5×C4⋊C4C2412yes—
255C5×C22⋊C4—24no—
256C5×C22⋊C4C2×D414yes—
257C5×C22⋊C4C2×D414yes—
258C42×C5—24no—
259C42×C5C2×D412yes—
260C42×C5C2×D412yes—
261C42×C5C2412yes—
262C42×C5C2412yes—
263#685—24no—
264#685—24no—
265#685—24no—
266#685—24no—
267C4⋊Dic5—21no—
268C4⋊Dic5—21no—
269C4⋊Dic5C2412yes—
270C4⋊Dic5C2412yes—
271#683—24no—
272#683—24no—
273C2×#168—22no—
274C2×#168—22no—
275C2×#168—22no—
276C2×#168—22no—
277C2×#168C2412yes—
278C2×#168C2412yes—
279C2×#168C2412yes—
280C2×#168C2412yes—
281#544—24no—
282#544C2×D518yescomplemented
283#540—58no—
284#540—104no—
285C2×C4⋊Q8—21no—
286C2×C4⋊Q8C2×D511yescharacteristic
287C2×C4⋊Q8C2×D511yescharacteristic
288C2×#127—51no—
289C2×#125—21no—
290C2×#125—51no—
291C2×#125C2×D511yescharacteristic
292C2×#125C2×D511yescharacteristic
293C2×#123—101no—
294C2×#123—101no—
295C2×C22⋊Q8—21no—
296C2×C22⋊Q8—21no—
297C2×#121—51no—
298C2×#121—51no—
299C2×#121—101no—
300C2×#121—101no—
301C2×C4×D4—51no—
302C2×C4×D4—51no—
303C2×#117C2×D511yescharacteristic
304C2×#117C2×D511yescharacteristic
305C22×C4⋊C4C2×D511yescharacteristic
306#501—58no—
307#499—58no—
308#490—58no—
309#486—58no—
310#482—58no—
311#482—58no—
312#481—58no—
313#480—58no—
314#478—58no—
315#478—58no—
316#476—58no—
317#474—58no—
318#433—58no—
319C2×#107—51no—
320C2×#107—51no—
321C2×#107—51no—
322C2×#107—51no—
323C2×#106—51no—
324C2×#106—51no—
325C2×#106—51no—
326C2×#106—51no—
327C2×C4⋊C8—51no—
328C2×C4⋊C8—51no—
329C2×#102—51no—
330C2×#102—51no—
331C2×#102—51no—
332C2×#102—51no—
333C2×#102—51no—
334C2×#102—51no—
335C2×#102—51no—
336C2×#102—51no—
337C2×C22⋊C8—51no—
338C2×C22⋊C8—51no—
339C2×#97—51no—
340C2×C4×C8—51no—
341C23×C5—22no—
342C23×C5—22no—
343C23×C5—22no—
344C23×C5C22×D412yes—
345C23×C5C22×D411yescharacteristic
346C22×D5—22no—
347C22×D5—22no—
348C22×D5—42no—
349C22×D5—42no—
350C22×D5—42no—
351C22×D5—42no—
352C22×D5—42no—
353C22×D5—42no—
354C5×Q8—84no—
355C5×Q8—84no—
356C2×C4×C5—22no—
357C2×C4×C5—22no—
358C2×C4×C5—22no—
359C2×C4×C5—22no—
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×C5—84no—
373C2×C4×C5C22×D412yes—
374C2×C4×C5C22×D412yes—
375C2×C4×C5C22×D412yes—
376C2×C4×C5C22×D412yes—
377C2×C4×C5C22×D412yes—
378C2×C4×C5C22×D411yescharacteristic
379C2×C4×C52−1+412yes—
380C2×C4×C52−1+412yes—
381C2×C4×C5C2511yescharacteristic
382C22⋊D5—84no—
383C22⋊D5—84no—
384C2×Dic5—22no—
385C2×Dic5—22no—
386C2×Dic5—42no—
387C2×Dic5—42no—
388D20—22no—
389D20—22no—
390D20—22no—
391D20—22no—
392D20—42no—
393D20—42no—
394D20—84no—
395D20—84no—
396C4×D5—84no—
397C4×D5—84no—
398#168—22no—
399#168—22no—
400#168—22no—
401#168—22no—
402C22×Q8—21no—
403C22×Q8—21no—
404C22×D4—51no—
405C22×D4—51no—
406C22×D4—101no—
407C22×D4—101no—
408C22×D4—101no—
409C22×D4—101no—
410C23×C4—21no—
411C23×C4—101no—
412C23×C4—101no—
413C23×C4C22×D511yescharacteristic
414C22×C8—51no—
415C22×C8—51no—
416C22×C8—51no—
417C22×C8—51no—
418C4⋊Q8—28no—
419C4⋊Q8—22no—
420C4⋊Q8—22no—
421C4⋊Q8C22×D514yes—
422C4⋊Q8C22×D514yes—
423#127—54no—
424#127—102no—
425#125—28no—
426#125—22no—
427#125—22no—
428#125—54no—
429#125—102no—
430#125C22×D514yes—
431#125C22×D514yes—
432#123—108no—
433#123—108no—
434C22⋊Q8—28no—
435C22⋊Q8—28no—
436#121—54no—
437#121—54no—
438#121—102no—
439#121—102no—
440#121—108no—
441#121—108no—
442C4×D4—54no—
443C4×D4—54no—
444C4×D4—102no—
445C4×D4—102no—
446#117—22no—
447#117C22⋊D514yes—
448#117C22×D514yes—
449#117C22×D514yes—
450C2×C4⋊C4—21no—
451C2×C4⋊C4—22no—
452C2×C4⋊C4—21no—
453C2×C4⋊C4—21no—
454C2×C4⋊C4—21no—
455C2×C4⋊C4—21no—
456C2×C4⋊C4—21no—
457C2×C4⋊C4—21no—
458C2×C4⋊C4—51no—
459C2×C4⋊C4—51no—
460C2×C4⋊C4—101no—
461C2×C4⋊C4—101no—
462C2×C4⋊C4C22⋊D511yescharacteristic
463C2×C4⋊C4C22⋊D511yescharacteristic
464C2×C4⋊C4C22×D511yescharacteristic
465C2×C4⋊C4C22×D511yescharacteristic
466C2×C4⋊C4C22×D514yes—
467C2×C4⋊C4C22×D511yescharacteristic
468C2×C4⋊C4C22×D511yescharacteristic
469C2×C22⋊C4—21no—
470C2×C22⋊C4—101no—
471C2×C22⋊C4—101no—
472C2×C22⋊C4—101no—
473C2×C22⋊C4—101no—
474C2×C22⋊C4C22⋊D511yescharacteristic
475C2×C22⋊C4C22⋊D511yescharacteristic
476C2×C42—21no—
477C2×C42C22×D511yescharacteristic
478C2×C42C22×D511yescharacteristic
479#107—54no—
480#107—54no—
481#107—54no—
482#107—54no—
483#106—54no—
484#106—54no—
485#106—54no—
486#106—54no—
487C4⋊C8—54no—
488C4⋊C8—54no—
489#102—54no—
490#102—54no—
491#102—54no—
492#102—54no—
493#102—54no—
494#102—54no—
495#102—54no—
496#102—54no—
497C22⋊C8—54no—
498C22⋊C8—54no—
499#97—54no—
500C4×C8—54no—
501C22×C5—22no—
502C22×C5—22no—
503C22×C5—22no—
504C22×C5—44no—
505C22×C5#53612yes—
506C22×C5#57612yes—
507C22×C5#57712yes—
508C22×C5C23×D411yescharacteristic
509C2×D5—42no—
510C2×D5—42no—
511C2×D5—42no—
512C2×D5—42no—
513C2×D5—42no—
514C2×D5—42no—
515C2×D5—84no—
516C2×D5—84no—
517C4×C5—22no—
518C4×C5—22no—
519C4×C5—22no—
520C4×C5—22no—
521C4×C5—22no—
522C4×C5—42no—
523C4×C5—42no—
524C4×C5—42no—
525C4×C5—42no—
526C4×C5#53612yes—
527C4×C5C2×2−1+411yescharacteristic
528C4×C5C2×2−1+411yescharacteristic
529Dic5—42no—
530Dic5—42no—
531C24—101no—
532C24—101no—
533C24C2×C22⋊D511yescharacteristic
534C2×Q8—24no—
535C2×Q8—24no—
536C2×Q8—82no—
537C2×Q8—82no—
538C2×D4—52no—
539C2×D4—52no—
540C2×D4—104no—
541C2×D4—104no—
542C2×D4—102no—
543C2×D4—102no—
544C2×D4—102no—
545C2×D4—102no—
546C2×D4—101no—
547C2×D4—101no—
548C2×D4—104no—
549C2×D4—104no—
550C2×D4—402no—
551C2×D4—402no—
552C2×D4—402no—
553C2×D4—402no—
554C22×C4—22no—
555C22×C4—22no—
556C22×C4—21no—
557C22×C4—21no—
558C22×C4—21no—
559C22×C4—21no—
560C22×C4—24no—
561C22×C4—82no—
562C22×C4—101no—
563C22×C4—101no—
564C22×C4—104no—
565C22×C4—104no—
566C22×C4—402no—
567C22×C4—402no—
568C22×C4C2×C22⋊D512yes—
569C22×C4C2×C22⋊D511yescharacteristic
570C22×C4C2×C22⋊D511yescharacteristic
571C22×C4C2×C22⋊D511yescharacteristic
572C22×C4C2×C22⋊D511yescharacteristic
573C22×C4C2×C22⋊D511yescharacteristic
574C22×C4C23×D512yes—
575C22×C4C23×D511yescharacteristic
576C2×C8—52no—
577C2×C8—52no—
578C2×C8—52no—
579C2×C8—52no—
580C2×C8—102no—
581C2×C8—102no—
582C2×C8—102no—
583C2×C8—102no—
584C4⋊C4—24no—
585C4⋊C4—21no—
586C4⋊C4—21no—
587C4⋊C4—24no—
588C4⋊C4—24no—
589C4⋊C4—24no—
590C4⋊C4—24no—
591C4⋊C4—24no—
592C4⋊C4—24no—
593C4⋊C4—21no—
594C4⋊C4—21no—
595C4⋊C4—52no—
596C4⋊C4—52no—
597C4⋊C4—101no—
598C4⋊C4—101no—
599C4⋊C4—104no—
600C4⋊C4—104no—
601C4⋊C4C2×C22⋊D514yes—
602C4⋊C4C2×C22⋊D514yes—
603C4⋊C4C23×D512yes—
604C4⋊C4C23×D512yes—
605C4⋊C4C23×D512yes—
606C4⋊C4C23×D512yes—
607C22⋊C4—24no—
608C22⋊C4—104no—
609C22⋊C4—104no—
610C22⋊C4—104no—
611C22⋊C4—104no—
612C22⋊C4C2×C22⋊D514yes—
613C22⋊C4C2×C22⋊D514yes—
614C42—24no—
615C42C2×C22⋊D512yes—
616C42C2×C22⋊D512yes—
617C42C23×D512yes—
618C42C23×D512yes—
619C2×C5—42no—
620C2×C5#324114yescomplemented
621C2×C5C2×#53611yescharacteristic
622C2×C5C2×#57611yescharacteristic
623C2×C5C2×#57711yescharacteristic
624D5—82no—
625D5—82no—
626C23—22no—
627C23—22no—
628C23—22no—
629C23—102no—
630C23—102no—
631C23—202no—
632C23—202no—
633C23—202no—
634C23—202no—
635C23—202no—
636C23—202no—
637C23C22×C22⋊D512yes—
638C23C22×C22⋊D511yescharacteristic
639Q8—84no—
640Q8—84no—
641D4—102no—
642D4—102no—
643D4—102no—
644D4—102no—
645D4—202no—
646D4—202no—
647D4—404no—
648D4—404no—
649D4—404no—
650D4—404no—
651C2×C4—22no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—24no—
657C2×C4—22no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—22no—
662C2×C4—22no—
663C2×C4—42no—
664C2×C4—42no—
665C2×C4—42no—
666C2×C4—42no—
667C2×C4—84no—
668C2×C4—102no—
669C2×C4—102no—
670C2×C4—202no—
671C2×C4—202no—
672C2×C4—404no—
673C2×C4—404no—
674C2×C4#414712yes—
675C2×C4#414712yes—
676C2×C4C22×C22⋊D512yes—
677C2×C4C22×C22⋊D512yes—
678C2×C4C22×C22⋊D512yes—
679C2×C4C22×C22⋊D512yes—
680C2×C4C22×C22⋊D512yes—
681C2×C4C22×C22⋊D511yescharacteristic
682C2×C4C24×D511yescharacteristic
683C8—102no—
684C8—102no—
685C8—102no—
686C8—102no—
687C5C2×#324111yescharacteristic, complemented, Sylow
688C22—22no—
689C22—22no—
690C22—22no—
691C22—44no—
692C22—202no—
693C22—202no—
694C22—202no—
695C22—202no—
696C22—202no—
697C22—202no—
698C22—404no—
699C22—404no—
700C22#6615012yes—
701C22#6616912yes—
702C22#6617112yes—
703C22C23×C22⋊D511yescharacteristic
704C4—22no—
705C4—22no—
706C4—22no—
707C4—22no—
708C4—22no—
709C4—42no—
710C4—42no—
711C4—42no—
712C4—42no—
713C4—202no—
714C4—202no—
715C4#6615012yes—
716C4C2×#414711yescharacteristic
717C4C2×#414711yescharacteristic
718C2—42no—
719C2—402no—
720C2—402no—
721C2#1061520814yesdirect product factor
722C2C2×#6615011yescharacteristic
723C2C2×#6616911yescharacteristic
724C2C2×#6617111yescharacteristic
subgroupG/H
centerC23C22×C22⋊D5
commutator, cosocleC2×C4×C5C25
FrattiniC2×C4C24×D5
FittingC2×C5×#544C2
socleC23×C5C22×D4
prime radicalC2×#65869C2
hypercenterC2×#544D5
hypocenterC5C2×#3241
LCSG ▷ C2×C4×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C23 ◁ C2×#117 ◁ C2×#544

Complements

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

NH ≅ G/Ntype
1. C2×C5×#544C2semidirect
3. #10615208C2direct (N × H)
4. C2×#65373C2semidirect
5. C2×#65376C2semidirect
6. C2×#65369C2semidirect
7. C2×#65377C2semidirect
8. C2×#65355C2semidirect
9. C2×#65355C2semidirect
10. C2×#65353C2semidirect
11. C2×#65356C2semidirect
12. C2×#65292C2semidirect
13. C2×#65292C2semidirect
14. C2×#65289C2semidirect
15. C2×#65257C2semidirect
16. C2×#65256C2semidirect
18. C5×#544C22semidirect
44. #65377C22semidirect
45. #65376C22semidirect
46. #65373C22semidirect
47. #65369C22semidirect
48. #65356C22semidirect
49. #65355C22semidirect
50. #65355C22semidirect
51. #65353C22semidirect
52. #65292C22semidirect
53. #65292C22semidirect
54. #65289C22semidirect
55. #65257C22semidirect
56. #65256C22semidirect
177. C2×#544D5semidirect
282. #544C2×D5semidirect
620. C2×C5#3241semidirect
687. C5C2×#3241semidirect
721. C2#10615208direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C5×#5442
C2×#658692
#106152082
C2×#653732
C2×#653762
C2×#653692
C2×#653772
C2×#653552
C2×#653532
C2×#653562
C2×#652922
C2×#652892
C2×#652572
C2×#652562
C2×#32415