Finite Group Databasebeta

← C2×#10613230 #12967652

Subgroups — C2×#10613230 #12967652

Order 1280.

1994 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×#65959C211yesmaximal, characteristic
2C2×#65850C211yesmaximal, characteristic
3C2×C5×#485C211yesmaximal, characteristic
4C2×#65339C211yesmaximal, characteristic
5C2×#65285C211yesmaximal, characteristic
6#10613230C2116yesmaximal, direct product factor
7C2×#65166C211yesmaximal, characteristic, complemented
8C2×#65162C211yesmaximal, characteristic, complemented
9C2×#65146C211yesmaximal, characteristic, complemented
10C2×#65142C211yesmaximal, characteristic, complemented
11C2×#65082C211yesmaximal, characteristic, complemented
12C2×#65082C211yesmaximal, characteristic, complemented
13C2×#65078C211yesmaximal, characteristic, complemented
14C2×#65079C211yesmaximal, characteristic, complemented
15C2×#65028C211yesmaximal, characteristic
16C2×#65009C211yesmaximal, characteristic
17C23×Dic10C2211yescharacteristic
18C2×C5×C22⋊Q8C2211yescharacteristic
19C2×C5×#117C2211yescharacteristic
20C2×Q8×Dic5C2211yescharacteristic
21C2×#4090C2211yescharacteristic
22C22×#689C2211yescharacteristic
23C22×#689C2211yescharacteristic
24C2×#4072C2211yescharacteristic
25C2×#4070C2211yescharacteristic
26C22×Dic20C2211yescharacteristic
27C22×Dic20C2211yescharacteristic
28#65959—24no—
29#65959C2218yes—
30#65850—24no—
31#65850C2218yes—
32C2×#4036—21no—
33C2×#4036C2211yescharacteristic
34C2×#4035—21no—
35C2×#4033C2211yescharacteristic
36C2×#4033C2211yescharacteristic
37C2×#4033C2211yescharacteristic
38C2×#4033C2211yescharacteristic
39C2×#4033C2211yescharacteristic
40C2×#4025—21no—
41C2×#4025—21no—
42C2×#4023—21no—
43C2×#4023—21no—
44C2×C4×Dic10—21no—
45C2×C4×Dic10—21no—
46C5×#485C2218yes—
47C2×C5×#107C2211yescharacteristic
48C2×C5×#106C2211yescharacteristic
49C2×C5×#103C2211yescharacteristic
50C2×C5×#103C2211yescharacteristic
51C2×C5×C22⋊C8C2211yescharacteristic
52C2×C22⋊#168C2211yescharacteristic
53C2×#3948C2211yescharacteristic
54C2×#3948C2211yescharacteristic
55C2×#3947C2211yescharacteristic
56C2×#3946C2211yescharacteristic
57C2×#3946C2211yescharacteristic
58C2×C8×Dic5C2211yescharacteristic
59#65339C2218yes—
60#65285C2218yes—
61C2×#3942C2211yescharacteristic
62C2×#3942C2211yescharacteristic
63C2×#3942C2211yescharacteristic
64C2×#3942C2211yescharacteristic
65C2×#3940C2211yescharacteristic
66C2×#3939C2211yescharacteristic
67#65166C2218yescomplemented
68#65162C2218yescomplemented
69#65146C2218yescomplemented
70#65142C2218yescomplemented
71#65082C2218yescomplemented
72#65082C2218yescomplemented
73#65079C2218yescomplemented
74#65078C2218yescomplemented
75#65028C2218yes—
76#65009C2218yes—
77C2×#3127—51nomaximal, Sylow
78C22×C5×Q8C2311yescharacteristic
79C23×C4×C5C2311yescharacteristic
80C23×Dic5—21no—
81C22×Dic10—21no—
82C22×Dic10—22no—
83C22×Dic10—24no—
84C22×Dic10—24no—
85C22×Dic10C2314yes—
86C22×Dic10C2311yescharacteristic
87C22×Dic10C2311yescharacteristic
88C22×Dic10C2311yescharacteristic
89C22×C5×C8C2311yescharacteristic
90C22×C5×C8C2311yescharacteristic
91C5×C22⋊Q8—22no—
92C5×C22⋊Q8C2314yes—
93C5×#117—22no—
94C5×#117C2314yes—
95C2×C5×C4⋊C4—21no—
96C2×C5×C4⋊C4C2311yescharacteristic
97C2×C5×C4⋊C4C2311yescharacteristic
98C2×C5×C4⋊C4C2311yescharacteristic
99C2×C5×C22⋊C4—21no—
100C2×C5×C22⋊C4—21no—
101C2×C42×C5—21no—
102C2×C22⋊Dic5—21no—
103C2×C22⋊Dic5D411yescharacteristic
104C2×C22⋊Dic5D411yescharacteristic
105Q8×Dic5—22no—
106Q8×Dic5C2314yes—
107#4090—22no—
108#4090C2314yes—
109C2×#689—24no—
110C2×#689—24no—
111C2×#689C2314yes—
112C2×#689C2314yes—
113#4072D414yes—
114#4072C2314yes—
115C2×C4⋊Dic5—21no—
116C2×C4⋊Dic5—21no—
117C2×C4⋊Dic5D411yescharacteristic
118C2×C4⋊Dic5D411yescharacteristic
119C2×C4⋊Dic5C2311yescharacteristic
120#4070—22no—
121#4070C2314yes—
122C2×#683—21no—
123C2×#683—21no—
124C2×#683—21no—
125C2×#683—21no—
126C2×#683—21no—
127C2×#683—21no—
128C2×#683—21no—
129C2×#683—21no—
130C2×#683—21no—
131C2×C4×Dic5—21no—
132C2×C4×Dic5—21no—
133C2×C4×Dic5—21no—
134C2×C4×Dic5—21no—
135C2×C4×Dic5—21no—
136C2×C4×Dic5—21no—
137C2×C4×Dic5C2311yescharacteristic
138C2×C4×Dic5C2311yescharacteristic
139C22×#168C2311yescharacteristic
140C22×#168C2311yescharacteristic
141C2×Dic20—24no—
142C2×Dic20—24no—
143C2×Dic20C2314yes—
144C2×Dic20C2314yes—
145#4036—28no—
146#4036—22no—
147#4036C2314yes—
148#4035—28no—
149#4033—22no—
150#4033—22no—
151#4033—22no—
152#4033—22no—
153#4033—22no—
154#4033C2314yes—
155#4033C2314yes—
156#4033C2314yes—
157#4033C2314yes—
158#4033C2314yes—
159#4025—28no—
160#4025—28no—
161#4023—28no—
162#4023—28no—
163C4×Dic10—28no—
164C4×Dic10—28no—
165C5×#107C2314yes—
166C5×#106C2314yes—
167C5×#103C2314yes—
168C5×#103C2314yes—
169C5×C22⋊C8C2314yes—
170C22⋊#168C2314yes—
171#3948C2314yes—
172#3948C2314yes—
173#3947C2314yes—
174#3946C2314yes—
175#3946C2314yes—
176C8×Dic5C2314yes—
177#3942C2314yes—
178#3942C2314yes—
179#3942C2314yes—
180#3942C2314yes—
181#3940C2314yes—
182#3939C2314yes—
183C2×#541—51no—
184C2×#519—51no—
185#3127—516no—
186C2×#485—51no—
187C2×#485D511yescharacteristic
188C2×#479—51no—
189C2×#479—51no—
190C2×#462—51no—
191C2×#462—51no—
192C2×#451—51no—
193C2×#451—51no—
194C2×#441—51no—
195C2×#441—51no—
196C2×C4×Q16—51no—
197C2×C4×Q16—51no—
198C2×#433—51no—
199C24×C5C2×D411yescharacteristic
200C2×C5×Q8—21no—
201C2×C5×Q8—22no—
202C2×C5×Q8—22no—
203C2×C5×Q8C2412yes—
204C22×C4×C5—22no—
205C22×C4×C5—22no—
206C22×C4×C5—21no—
207C22×C4×C5—21no—
208C22×C4×C5—21no—
209C22×C4×C5—21no—
210C22×C4×C5C2×D411yescharacteristic
211C22×C4×C5C2×D412yes—
212C22×C4×C5C2412yes—
213C22×C4×C5C2411yescharacteristic
214C22×Dic5—28no—
215C22×Dic5—24no—
216C22×Dic5—21no—
217C22×Dic5—21no—
218C22×Dic5—21no—
219C22×Dic5—21no—
220C22×Dic5C2×D411yescharacteristic
221C22×Dic5C2×D411yescharacteristic
222C22×Dic5C2×D411yescharacteristic
223C22×Dic5C2×D411yescharacteristic
224C2×Dic10—28no—
225C2×Dic10—216no—
226C2×Dic10—24no—
227C2×Dic10—21no—
228C2×Dic10—21no—
229C2×Dic10—22no—
230C2×Dic10—22no—
231C2×Dic10—28no—
232C2×Dic10—28no—
233C2×Dic10—22no—
234C2×Dic10—22no—
235C2×Dic10—21no—
236C2×Dic10#4114yes—
237C2×Dic10#4114yes—
238C2×Dic10C2412yes—
239C2×Dic10C2412yes—
240C2×Dic10C2412yes—
241C2×C5×C8—22no—
242C2×C5×C8—22no—
243C2×C5×C8C2412yes—
244C2×C5×C8C2412yes—
245C5×C4⋊C4—24no—
246C5×C4⋊C4—21no—
247C5×C4⋊C4—21no—
248C5×C4⋊C4—21no—
249C5×C4⋊C4C2412yes—
250C5×C4⋊C4C2412yes—
251C5×C4⋊C4C2412yes—
252C5×C22⋊C4—24no—
253C5×C22⋊C4—24no—
254C42×C5—24no—
255C22⋊Dic5—24no—
256C22⋊Dic5C2×D414yes—
257C22⋊Dic5C2×D414yes—
258#689—28no—
259#689—28no—
260C4⋊Dic5—21no—
261C4⋊Dic5—24no—
262C4⋊Dic5—24no—
263C4⋊Dic5C2×D414yes—
264C4⋊Dic5C2×D414yes—
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#683—24no—
275C4×Dic5—24no—
276C4×Dic5—24no—
277C4×Dic5—24no—
278C4×Dic5—24no—
279C4×Dic5—24no—
280C4×Dic5—24no—
281C4×Dic5C2×D412yes—
282C4×Dic5C2×D412yes—
283C4×Dic5C2412yes—
284C4×Dic5C2412yes—
285C2×#168—22no—
286C2×#168—22no—
287C2×#168C2412yes—
288C2×#168C2412yes—
289Dic20—28no—
290Dic20—28no—
291C23×Q8—51no—
292C22×Q16—51no—
293C22×Q16—51no—
294C22×Q16—51no—
295C22×Q16—51no—
296#541—58no—
297#541—104no—
298C2×C4⋊Q8—51no—
299C2×#126—101no—
300C2×#126—101no—
301C2×#125—51no—
302C2×#125—101no—
303C2×#125—101no—
304C2×C22⋊Q8—51no—
305C2×C22⋊Q8C2×D511yescharacteristic
306#519—58no—
307#519—104no—
308C2×C4×Q8—51no—
309C2×C4×Q8—51no—
310C2×C4×Q8—51no—
311C2×C4×Q8—51no—
312C2×C4×Q8—51no—
313C2×C4×Q8—51no—
314C2×C4×Q8—101no—
315C2×C4×Q8—101no—
316C2×#117—51no—
317C2×#117—101no—
318C2×#117—101no—
319C2×#117C2×D511yescharacteristic
320#485—58no—
321#485C2×D518yes—
322#479—58no—
323#479—58no—
324#462—58no—
325#462—58no—
326#451—58no—
327#451—58no—
328#441—58no—
329#441—58no—
330C4×Q16—58no—
331C4×Q16—58no—
332#433—58no—
333C2×#107—51no—
334C2×#107C2×D511yescharacteristic
335C2×#106—51no—
336C2×#106C2×D511yescharacteristic
337C2×C4⋊C8—51no—
338C2×C4⋊C8—51no—
339C2×#103—51no—
340C2×#103—51no—
341C2×#103—51no—
342C2×#103—51no—
343C2×#103—51no—
344C2×#103—51no—
345C2×#103C2×D511yescharacteristic
346C2×#103C2×D511yescharacteristic
347C2×C22⋊C8—51no—
348C2×C22⋊C8C2×D511yescharacteristic
349C2×#97—51no—
350C2×C4×C8—51no—
351C23×C5—22no—
352C23×C5—22no—
353C23×C5—22no—
354C23×C5C22×D412yes—
355C23×C5C22×D411yescharacteristic
356C5×Q8—22no—
357C5×Q8—22no—
358C5×Q8—42no—
359C2×C4×C5—22no—
360C2×C4×C5—24no—
361C2×C4×C5—22no—
362C2×C4×C5—22no—
363C2×C4×C5—22no—
364C2×C4×C5—22no—
365C2×C4×C5—22no—
366C2×C4×C5—22no—
367C2×C4×C5—42no—
368C2×C4×C5—42no—
369C2×C4×C5—42no—
370C2×C4×C5—42no—
371C2×C4×C5C22×D412yes—
372C2×C4×C5C22×D411yescharacteristic
373C2×C4×C5C2×#4112yes—
374C2×C4×C5C2×#4112yes—
375C2×C4×C5C2511yescharacteristic
376C2×Dic5—216no—
377C2×Dic5—24no—
378C2×Dic5—24no—
379C2×Dic5—22no—
380C2×Dic5—22no—
381C2×Dic5—22no—
382C2×Dic5—22no—
383C2×Dic5—22no—
384C2×Dic5—22no—
385C2×Dic5—22no—
386C2×Dic5—22no—
387C2×Dic5—42no—
388C2×Dic5—42no—
389C2×Dic5C22×D412yes—
390C2×Dic5C22×D412yes—
391C2×Dic5C22×D412yes—
392C2×Dic5C22×D412yes—
393Dic10—216no—
394Dic10—24no—
395Dic10—24no—
396Dic10—22no—
397Dic10—22no—
398Dic10—22no—
399Dic10—22no—
400Dic10—42no—
401Dic10C2×#4114yes—
402Dic10C2×#4114yes—
403C5×C8—22no—
404C5×C8—22no—
405#168—22no—
406#168—22no—
407C22×Q8—51no—
408C22×Q8—51no—
409C22×Q8—51no—
410C22×Q8—54no—
411C22×Q8—104no—
412C22×Q8—104no—
413C22×Q8—101no—
414C22×Q8—102no—
415C22×Q8C22×D511yescharacteristic
416C23×C4—101no—
417C23×C4C22×D511yescharacteristic
418C2×Q16—54no—
419C2×Q16—54no—
420C2×Q16—54no—
421C2×Q16—54no—
422C2×Q16—104no—
423C2×Q16—104no—
424C2×Q16—104no—
425C2×Q16—104no—
426C22×C8—51no—
427C22×C8—51no—
428C22×C8C22×D511yescharacteristic
429C22×C8C22×D511yescharacteristic
430C4⋊Q8—54no—
431C4⋊Q8—102no—
432#126—108no—
433#126—108no—
434#125—54no—
435#125—102no—
436#125—108no—
437#125—108no—
438C22⋊Q8—22no—
439C22⋊Q8—54no—
440C22⋊Q8—102no—
441C22⋊Q8C22×D514yes—
442C4×Q8—54no—
443C4×Q8—54no—
444C4×Q8—54no—
445C4×Q8—54no—
446C4×Q8—54no—
447C4×Q8—54no—
448C4×Q8—108no—
449C4×Q8—108no—
450C4×Q8—102no—
451C4×Q8—102no—
452C4×Q8—102no—
453C4×Q8—102no—
454C4×Q8—102no—
455C4×Q8—102no—
456#117—22no—
457#117—54no—
458#117—54no—
459#117—108no—
460#117—108no—
461#117C22×D514yes—
462C2×C4⋊C4—21no—
463C2×C4⋊C4—51no—
464C2×C4⋊C4—51no—
465C2×C4⋊C4—51no—
466C2×C4⋊C4—101no—
467C2×C4⋊C4—101no—
468C2×C4⋊C4—101no—
469C2×C4⋊C4—101no—
470C2×C4⋊C4—101no—
471C2×C4⋊C4—101no—
472C2×C4⋊C4—101no—
473C2×C4⋊C4—101no—
474C2×C4⋊C4—101no—
475C2×C4⋊C4—101no—
476C2×C4⋊C4—101no—
477C2×C4⋊C4C22×D511yescharacteristic
478C2×C4⋊C4C22×D511yescharacteristic
479C2×C4⋊C4C22×D511yescharacteristic
480C2×C22⋊C4—21no—
481C2×C22⋊C4—21no—
482C2×C22⋊C4—51no—
483C2×C22⋊C4—51no—
484C2×C22⋊C4—101no—
485C2×C42—21no—
486C2×C42—51no—
487C2×C42—51no—
488C2×C42—101no—
489C2×C42—101no—
490C2×C42—101no—
491C2×C42—101no—
492C2×C42—101no—
493C2×C42—101no—
494#107—54no—
495#107C22×D514yes—
496#106—54no—
497#106C22×D514yes—
498C4⋊C8—54no—
499C4⋊C8—54no—
500#103—54no—
501#103—54no—
502#103—54no—
503#103—54no—
504#103—54no—
505#103—54no—
506#103C22×D514yes—
507#103C22×D514yes—
508C22⋊C8—54no—
509C22⋊C8C22×D514yes—
510#97—54no—
511C4×C8—54no—
512C22×C5—22no—
513C22×C5—22no—
514C22×C5—22no—
515C22×C5—44no—
516C22×C5#52512yes—
517C22×C5#57812yes—
518C22×C5#57812yes—
519C22×C5C23×D411yescharacteristic
520C4×C5—22no—
521C4×C5—42no—
522C4×C5—42no—
523C4×C5—42no—
524C4×C5—42no—
525C4×C5#52512yes—
526C4×C5C22×#4111yescharacteristic
527C4×C5C22×#4111yescharacteristic
528Dic5—24no—
529Dic5—24no—
530Dic5—22no—
531Dic5—22no—
532Dic5—22no—
533Dic5—22no—
534Dic5—42no—
535Dic5—42no—
536C24D4×D511yescharacteristic
537C2×Q8—21no—
538C2×Q8—22no—
539C2×Q8—22no—
540C2×Q8—54no—
541C2×Q8—54no—
542C2×Q8—52no—
543C2×Q8—52no—
544C2×Q8—52no—
545C2×Q8—108no—
546C2×Q8—108no—
547C2×Q8—108no—
548C2×Q8—1016no—
549C2×Q8—104no—
550C2×Q8—101no—
551C2×Q8—101no—
552C2×Q8—101no—
553C2×Q8—102no—
554C2×Q8—102no—
555C2×Q8—102no—
556C2×Q8—102no—
557C2×Q8C23×D512yes—
558C22×C4—22no—
559C22×C4—22no—
560C22×C4—21no—
561C22×C4—21no—
562C22×C4—21no—
563C22×C4—21no—
564C22×C4—51no—
565C22×C4—51no—
566C22×C4—51no—
567C22×C4—51no—
568C22×C4—108no—
569C22×C4—104no—
570C22×C4—101no—
571C22×C4—101no—
572C22×C4—101no—
573C22×C4—101no—
574C22×C4D4×D512yes—
575C22×C4D4×D511yescharacteristic
576C22×C4C23×D512yes—
577C22×C4C23×D511yescharacteristic
578Q16—108no—
579Q16—108no—
580Q16—108no—
581Q16—108no—
582C2×C8—22no—
583C2×C8—22no—
584C2×C8—52no—
585C2×C8—52no—
586C2×C8—102no—
587C2×C8—102no—
588C2×C8C23×D512yes—
589C2×C8C23×D512yes—
590C4⋊C4—24no—
591C4⋊C4—21no—
592C4⋊C4—21no—
593C4⋊C4—21no—
594C4⋊C4—54no—
595C4⋊C4—54no—
596C4⋊C4—52no—
597C4⋊C4—104no—
598C4⋊C4—104no—
599C4⋊C4—104no—
600C4⋊C4—104no—
601C4⋊C4—104no—
602C4⋊C4—104no—
603C4⋊C4—104no—
604C4⋊C4—104no—
605C4⋊C4—104no—
606C4⋊C4—104no—
607C4⋊C4—101no—
608C4⋊C4—104no—
609C4⋊C4C23×D512yes—
610C4⋊C4C23×D512yes—
611C4⋊C4C23×D512yes—
612C22⋊C4—24no—
613C22⋊C4—24no—
614C22⋊C4—54no—
615C22⋊C4—54no—
616C22⋊C4—104no—
617C42—24no—
618C42—52no—
619C42—52no—
620C42—52no—
621C42—52no—
622C42—104no—
623C42—104no—
624C42—104no—
625C42—104no—
626C42—104no—
627C42—104no—
628C2×C5—42no—
629C2×C5#312714yescomplemented
630C2×C5C2×#52511yescharacteristic
631C2×C5C2×#57811yescharacteristic
632C2×C5C2×#57811yescharacteristic
633C23—22no—
634C23—22no—
635C23—22no—
636C23C2×D4×D512yes—
637C23C2×D4×D511yescharacteristic
638Q8—22no—
639Q8—22no—
640Q8—42no—
641Q8—54no—
642Q8—54no—
643Q8—1016no—
644Q8—104no—
645Q8—104no—
646Q8—102no—
647Q8—102no—
648Q8—102no—
649Q8—102no—
650Q8—202no—
651C2×C4—22no—
652C2×C4—24no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—22no—
659C2×C4—42no—
660C2×C4—42no—
661C2×C4—42no—
662C2×C4—42no—
663C2×C4—52no—
664C2×C4—52no—
665C2×C4—52no—
666C2×C4—52no—
667C2×C4—1016no—
668C2×C4—102no—
669C2×C4—102no—
670C2×C4—102no—
671C2×C4—102no—
672C2×C4—104no—
673C2×C4—104no—
674C2×C4—102no—
675C2×C4—102no—
676C2×C4—102no—
677C2×C4—102no—
678C2×C4—202no—
679C2×C4—202no—
680C2×C4C2×D4×D512yes—
681C2×C4C2×D4×D511yescharacteristic
682C2×C4D5×#4112yes—
683C2×C4D5×#4112yes—
684C2×C4C24×D511yescharacteristic
685C8—22no—
686C8—22no—
687C8—102no—
688C8—102no—
689C5C2×#312711yescharacteristic, complemented, Sylow
690C22—22no—
691C22—22no—
692C22—22no—
693C22—44no—
694C22#6599012yes—
695C22#6610512yes—
696C22#6611312yes—
697C22C22×D4×D511yescharacteristic
698C4—22no—
699C4—42no—
700C4—42no—
701C4—42no—
702C4—42no—
703C4—104no—
704C4—104no—
705C4—102no—
706C4—102no—
707C4—102no—
708C4—102no—
709C4—202no—
710C4—202no—
711C4#6599012yes—
712C4C2×D5×#4111yescharacteristic
713C4C2×D5×#4111yescharacteristic
714C2—42no—
715C2#1061323014yesdirect product factor
716C2C2×#6599011yescharacteristic
717C2C2×#6610511yescharacteristic
718C2C2×#6611311yescharacteristic
subgroupG/H
centerC23C2×D4×D5
commutator, cosocleC2×C4×C5C25
FrattiniC2×C4C24×D5
FittingC2×C5×#485C2
socleC23×C5C22×D4
prime radicalC24×C5C2×D4
hypercenterC2×#485D5
hypocenterC5C2×#3127
LCSG ▷ C2×C4×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#485

Complements

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

NH ≅ G/Ntype
6. #10613230C2direct (N × H)
7. C2×#65166C2semidirect
8. C2×#65162C2semidirect
9. C2×#65146C2semidirect
10. C2×#65142C2semidirect
11. C2×#65082C2semidirect
12. C2×#65082C2semidirect
13. C2×#65078C2semidirect
14. C2×#65079C2semidirect
67. #65166C22semidirect
68. #65162C22semidirect
69. #65146C22semidirect
70. #65142C22semidirect
71. #65082C22semidirect
72. #65082C22semidirect
73. #65079C22semidirect
74. #65078C22semidirect
629. C2×C5#3127semidirect
689. C5C2×#3127semidirect
715. C2#10613230direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#659592
C2×#658502
C2×C5×#4852
C2×#653392
C2×#652852
#106132302
C2×#651662
C2×#651622
C2×#651462
C2×#651422
C2×#650822
C2×#650782
C2×#650792
C2×#650282
C2×#650092
C2×#31275