Finite Group Databasebeta

← C2×#10613087 #12971356

Subgroups — C2×#10613087 #12971356

Order 1280.

2058 conjugacy classes of subgroups.

The subgroup lattice has 738 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#65930C211yesmaximal, characteristic
2C2×#65851C211yesmaximal, characteristic, complemented
3C2×C5×#482C211yesmaximal, characteristic, complemented
4C2×#65324C211yesmaximal, characteristic, complemented
5C2×#65292C211yesmaximal, characteristic, complemented
6#10613087C2116yesmaximal, direct product factor
7C2×#65180C211yesmaximal, characteristic, complemented
8C2×#65163C211yesmaximal, characteristic, complemented
9C2×#65160C211yesmaximal, characteristic, complemented
10C2×#65144C211yesmaximal, characteristic, complemented
11C2×#65049C211yesmaximal, characteristic, complemented
12C2×#65049C211yesmaximal, characteristic, complemented
13C2×#65052C211yesmaximal, characteristic, complemented
14C2×#65055C211yesmaximal, characteristic, complemented
15C2×#65026C211yesmaximal, characteristic, complemented
16C2×#65007C211yesmaximal, characteristic, complemented
17C22×#711—21no—
18C2×C5×#121C2211yescharacteristic
19C2×C5×#117C2211yescharacteristic
20C2×#4086C2211yescharacteristic
21C2×#4085—21no—
22C2×D4×Dic5C2211yescharacteristic
23C2×#4076C2211yescharacteristic
24C2×#4072C2211yescharacteristic
25C22×C4×Dic5C2211yescharacteristic
26#65930—24no—
27#65930C2218yes—
28#65851—24no—
29#65851C2218yescomplemented
30C2×#4039C2211yescharacteristic
31C2×#4036C2211yescharacteristic
32C2×#4036C2211yescharacteristic
33C2×#4034C2211yescharacteristic
34C2×#4034C2211yescharacteristic
35C2×#4034C2211yescharacteristic
36C2×#4031—21no—
37C2×#4027—21no—
38C2×#4024—21no—
39C2×#4024—21no—
40C2×C4×Dic10—21no—
41C2×C4×Dic10—21no—
42C5×#482C2218yescomplemented
43C2×C5×#107C2211yescharacteristic
44C2×C5×#106C2211yescharacteristic
45C2×C5×#102C2211yescharacteristic
46C2×C5×#102C2211yescharacteristic
47C2×C5×C22⋊C8C2211yescharacteristic
48C2×#3964C2211yescharacteristic
49C2×#3964C2211yescharacteristic
50C2×C22⋊#168C2211yescharacteristic
51C2×#3953C2211yescharacteristic
52C2×#3953C2211yescharacteristic
53C2×#3950C2211yescharacteristic
54C2×#3949C2211yescharacteristic
55C2×#3946C2211yescharacteristic
56C2×#3946C2211yescharacteristic
57C2×C8×Dic5C2211yescharacteristic
58C2×C8×Dic5C2211yescharacteristic
59#65324C2218yescomplemented
60#65292C2218yescomplemented
61C2×#3941C2211yescharacteristic
62C2×#3941C2211yescharacteristic
63C2×#3940C2211yescharacteristic
64C2×#3940C2211yescharacteristic
65C2×#3939C2211yescharacteristic
66C2×#3939C2211yescharacteristic
67#65180C2218yescomplemented
68#65163C2218yescomplemented
69#65160C2218yescomplemented
70#65144C2218yescomplemented
71#65055C2218yescomplemented
72#65052C2218yescomplemented
73#65049C2218yescomplemented
74#65049C2218yescomplemented
75#65026C2218yescomplemented
76#65007C2218yescomplemented
77C2×#3228—51nomaximal, Sylow
78C22×C5×D4—21no—
79C22×C5×D4C2311yescharacteristic
80C23×C4×C5C2311yescharacteristic
81C22×C22⋊D5—21no—
82C22×C22⋊D5—21no—
83C22×C22⋊D5—21no—
84C23×Dic5—21no—
85C23×Dic5D411yescharacteristic
86C23×Dic5D411yescharacteristic
87C2×#711—28no—
88C2×#711—48no—
89C22×D20C2311yescharacteristic
90C22×C4×D5—21no—
91C22×Dic10—21no—
92C22×Dic10—21no—
93C22×Dic10—21no—
94C22×C5×C8C2311yescharacteristic
95C22×C5×C8C2311yescharacteristic
96C5×#121—22no—
97C5×#121C2314yes—
98C5×#117—22no—
99C5×#117C2314yes—
100C2×C5×C4⋊C4C2311yescharacteristic
101C2×C5×C4⋊C4C2311yescharacteristic
102C2×C5×C4⋊C4C2311yescharacteristic
103C2×C5×C22⋊C4—21no—
104C2×C5×C22⋊C4—21no—
105C2×C42×C5—21no—
106C2×C22⋊Dic5—21no—
107C2×C22⋊Dic5—21no—
108#4086—22no—
109#4086C2314yes—
110#4085—28no—
111D4×Dic5—22no—
112D4×Dic5C2314yes—
113#4076—22no—
114#4076C2314yes—
115C2×#685—21no—
116C2×#685—21no—
117#4072—22no—
118#4072C2314yes—
119C2×C4⋊Dic5—21no—
120C2×C4⋊Dic5—21no—
121C2×C4⋊Dic5C2311yescharacteristic
122C2×C4⋊Dic5C2311yescharacteristic
123C2×C4⋊Dic5C2311yescharacteristic
124C2×#683—21no—
125C2×#683—21no—
126C2×#683—21no—
127C2×#683—21no—
128C2×#683—21no—
129C2×C4×Dic5—21no—
130C2×C4×Dic5D411yescharacteristic
131C2×C4×Dic5D411yescharacteristic
132C2×C4×Dic5D414yes—
133C2×C4×Dic5C2311yescharacteristic
134C2×C4×Dic5C2311yescharacteristic
135C2×C4×Dic5C2314yes—
136C22×#168C2311yescharacteristic
137C22×#168C2311yescharacteristic
138#4039—22no—
139#4039C2314yes—
140#4036—22no—
141#4036—22no—
142#4036C2314yes—
143#4036C2314yes—
144#4034—22no—
145#4034—22no—
146#4034—22no—
147#4034C2314yes—
148#4034C2314yes—
149#4034C2314yes—
150#4031—28no—
151#4027—28no—
152#4024—28no—
153#4024—28no—
154C4×Dic10—28no—
155C4×Dic10—28no—
156C5×#107C2314yes—
157C5×#106C2314yes—
158C5×#102C2314yes—
159C5×#102C2314yes—
160C5×C22⋊C8C2314yes—
161#3964C2314yes—
162#3964C2314yes—
163C22⋊#168C2314yes—
164#3953C2314yes—
165#3953C2314yes—
166#3950C2314yes—
167#3949C2314yes—
168#3946C2314yes—
169#3946C2314yes—
170C8×Dic5C2314yes—
171C8×Dic5C2314yes—
172#3941C2314yes—
173#3941C2314yes—
174#3940C2314yes—
175#3940C2314yes—
176#3939C2314yes—
177#3939C2314yes—
178C2×#533—51no—
179C2×#532—51no—
180#3228—516no—
181C2×#500—51no—
182C2×#498—51no—
183C2×#486—51no—
184C2×#486—51no—
185C2×#482—51no—
186C2×#482—51no—
187C2×#482—51no—
188C2×#482D511yescharacteristic, complemented
189C2×#478—51no—
190C2×#478—51no—
191C2×#478—51no—
192C2×#478—51no—
193C2×#431—51no—
194C24×C5—21no—
195C24×C5C2×D411yescharacteristic
196C23×D5—21no—
197C2×C5×D4—24no—
198C2×C5×D4—21no—
199C2×C5×D4—22no—
200C2×C5×D4—22no—
201C2×C5×D4—44no—
202C2×C5×D4C2412yes—
203C22×C4×C5—22no—
204C22×C4×C5—22no—
205C22×C4×C5—21no—
206C22×C4×C5—21no—
207C22×C4×C5—21no—
208C22×C4×C5C2×D411yescharacteristic
209C22×C4×C5C2×D412yes—
210C22×C4×C5C2412yes—
211C22×C4×C5C2411yescharacteristic
212C2×C22⋊D5—24no—
213C2×C22⋊D5—24no—
214C2×C22⋊D5—24no—
215C2×C22⋊D5—44no—
216C2×C22⋊D5—44no—
217C2×C22⋊D5—44no—
218C22×Dic5—24no—
219C22×Dic5—24no—
220C22×Dic5—21no—
221C22×Dic5—21no—
222C22×Dic5—21no—
223C22×Dic5—24no—
224C22×Dic5—44no—
225C22×Dic5C2×D411yescharacteristic
226C22×Dic5C2×D411yescharacteristic
227C22×Dic5C2×D414yes—
228C22×Dic5C2×D414yes—
229C22×Dic5C2×D411yescharacteristic
230C22×Dic5C2×D411yescharacteristic
231#711—432no—
232C2×D20—22no—
233C2×D20—22no—
234C2×D20—21no—
235C2×D20C2412yes—
236C2×C4×D5—24no—
237C2×C4×D5—44no—
238C2×Dic10—24no—
239C2×Dic10—24no—
240C2×Dic10—24no—
241C2×Dic10—44no—
242C2×Dic10—44no—
243C2×Dic10—44no—
244C2×C5×C8—22no—
245C2×C5×C8—22no—
246C2×C5×C8C2412yes—
247C2×C5×C8C2412yes—
248C5×C4⋊C4—21no—
249C5×C4⋊C4—21no—
250C5×C4⋊C4—21no—
251C5×C4⋊C4C2412yes—
252C5×C4⋊C4C2412yes—
253C5×C4⋊C4C2412yes—
254C5×C22⋊C4—24no—
255C5×C22⋊C4—24no—
256C42×C5—24no—
257C22⋊Dic5—24no—
258C22⋊Dic5—24no—
259#685—24no—
260#685—24no—
261C4⋊Dic5—21no—
262C4⋊Dic5—21no—
263C4⋊Dic5—21no—
264C4⋊Dic5—24no—
265C4⋊Dic5—24no—
266C4⋊Dic5C2412yes—
267C4⋊Dic5C2412yes—
268C4⋊Dic5C2412yes—
269#683—24no—
270#683—24no—
271#683—24no—
272#683—24no—
273#683—24no—
274C4×Dic5—24no—
275C4×Dic5C2×D414yes—
276C4×Dic5C2×D414yes—
277C4×Dic5C2×D412yes—
278C4×Dic5C2×D412yes—
279C4×Dic5C2412yes—
280C4×Dic5C2412yes—
281C2×#168—22no—
282C2×#168—22no—
283C2×#168C2412yes—
284C2×#168C2412yes—
285C22×#41—101no—
286#533—58no—
287#533—104no—
288#532—58no—
289#532—104no—
290C2×C4⋊Q8—51no—
291C2×C4⋊Q8—51no—
292C2×C4⋊Q8—51no—
293C2×#127—51no—
294C2×#125—51no—
295C2×#125—51no—
296C2×#124—101no—
297C2×C22⋊Q8—101no—
298C2×C22⋊Q8—101no—
299C2×#121—51no—
300C2×#121—101no—
301C2×#121C2×D511yescharacteristic
302C2×C4×Q8—101no—
303C2×C4×Q8—101no—
304C2×C4×D4—51no—
305C2×C4×D4—51no—
306C2×C4×D4—101no—
307C2×#117—51no—
308C2×#117C2×D511yescharacteristic
309C22×C42—51no—
310#500—58no—
311#498—58no—
312#486—58no—
313#486—58no—
314#482—58no—
315#482—58no—
316#482—58no—
317#482C2×D518yescomplemented
318#478—58no—
319#478—58no—
320#478—58no—
321#478—58no—
322#431—58no—
323C2×#107—51no—
324C2×#107—51no—
325C2×#107—51no—
326C2×#107C2×D511yescharacteristic
327C2×#106—51no—
328C2×#106—51no—
329C2×#106—51no—
330C2×#106C2×D511yescharacteristic
331C2×C4⋊C8—51no—
332C2×C4⋊C8—51no—
333C2×#102—51no—
334C2×#102—51no—
335C2×#102—51no—
336C2×#102—51no—
337C2×#102—51no—
338C2×#102—51no—
339C2×#102C2×D511yescharacteristic
340C2×#102C2×D511yescharacteristic
341C2×C22⋊C8—51no—
342C2×C22⋊C8C2×D511yescharacteristic
343C2×C4×C8—51no—
344C2×C4×C8—51no—
345C23×C5—22no—
346C23×C5—22no—
347C23×C5—22no—
348C23×C5—22no—
349C23×C5—42no—
350C23×C5—42no—
351C23×C5—42no—
352C23×C5C22×D412yes—
353C23×C5C22×D411yescharacteristic
354C22×D5—22no—
355C22×D5—42no—
356C22×D5—42no—
357C22×D5—42no—
358C5×D4—22no—
359C5×D4—22no—
360C5×D4—48no—
361C5×D4—42no—
362C2×C4×C5—22no—
363C2×C4×C5—24no—
364C2×C4×C5—22no—
365C2×C4×C5—22no—
366C2×C4×C5—22no—
367C2×C4×C5—22no—
368C2×C4×C5—22no—
369C2×C4×C5—42no—
370C2×C4×C5—42no—
371C2×C4×C5—42no—
372C2×C4×C5C22×D412yes—
373C2×C4×C5C22×D411yescharacteristic
374C2×C4×C52−1+412yes—
375C2×C4×C52−1+412yes—
376C2×C4×C5C2511yescharacteristic
377C22⋊D5—48no—
378C22⋊D5—48no—
379C22⋊D5—48no—
380C2×Dic5—22no—
381C2×Dic5—22no—
382C2×Dic5—28no—
383C2×Dic5—28no—
384C2×Dic5—22no—
385C2×Dic5—22no—
386C2×Dic5—22no—
387C2×Dic5—48no—
388C2×Dic5—42no—
389C2×Dic5—42no—
390C2×Dic5—42no—
391C2×Dic5#13514yes—
392C2×Dic5AGL(1,ℤ/8)14yes—
393C2×Dic5C22×D412yes—
394C2×Dic5C22×D412yes—
395C2×Dic5C22×D412yes—
396C2×Dic5C22×D412yes—
397D20—22no—
398D20—22no—
399D20—42no—
400C4×D5—48no—
401Dic10—48no—
402Dic10—48no—
403Dic10—48no—
404C5×C8—22no—
405C5×C8—22no—
406#168—22no—
407#168—22no—
408C2×#41—108no—
409C2×#41—208no—
410C22×Q8—101no—
411C22×Q8—101no—
412C22×Q8—101no—
413C22×D4—21no—
414C22×D4—51no—
415C22×D4—101no—
416C22×D4—101no—
417C22×D4—101no—
418C22×D4C22×D511yescharacteristic
419C23×C4—51no—
420C23×C4—51no—
421C23×C4—101no—
422C23×C4—101no—
423C23×C4C22×D511yescharacteristic
424C22×C8—51no—
425C22×C8—51no—
426C22×C8C22×D511yescharacteristic
427C22×C8C22×D511yescharacteristic
428C4⋊Q8—54no—
429C4⋊Q8—54no—
430C4⋊Q8—54no—
431C4⋊Q8—102no—
432C4⋊Q8—102no—
433C4⋊Q8—102no—
434#127—54no—
435#127—102no—
436#125—54no—
437#125—54no—
438#125—102no—
439#125—102no—
440#124—108no—
441C22⋊Q8—108no—
442C22⋊Q8—108no—
443#121—22no—
444#121—54no—
445#121—108no—
446#121—102no—
447#121C22×D514yes—
448C4×Q8—108no—
449C4×Q8—108no—
450C4×D4—54no—
451C4×D4—54no—
452C4×D4—108no—
453C4×D4—102no—
454C4×D4—102no—
455#117—22no—
456#117—54no—
457#117—102no—
458#117C22×D514yes—
459C2×C4⋊C4—51no—
460C2×C4⋊C4—51no—
461C2×C4⋊C4—51no—
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⋊C4C22×D511yescharacteristic
470C2×C4⋊C4C22×D511yescharacteristic
471C2×C4⋊C4C22×D511yescharacteristic
472C2×C22⋊C4—21no—
473C2×C22⋊C4—21no—
474C2×C22⋊C4—101no—
475C2×C22⋊C4—101no—
476C2×C22⋊C4—101no—
477C2×C22⋊C4—101no—
478C2×C42—21no—
479C2×C42—51no—
480C2×C42—51no—
481C2×C42—54no—
482C2×C42—51no—
483C2×C42—51no—
484C2×C42—54no—
485C2×C42—101no—
486#107—54no—
487#107—54no—
488#107—54no—
489#107C22×D514yes—
490#106—54no—
491#106—54no—
492#106—54no—
493#106C22×D514yes—
494C4⋊C8—54no—
495C4⋊C8—54no—
496#102—54no—
497#102—54no—
498#102—54no—
499#102—54no—
500#102—54no—
501#102—54no—
502#102C22×D514yes—
503#102C22×D514yes—
504C22⋊C8—54no—
505C22⋊C8C22×D514yes—
506C4×C8—54no—
507C4×C8—54no—
508C22×C5—22no—
509C22×C5—22no—
510C22×C5—22no—
511C22×C5—44no—
512C22×C5—42no—
513C22×C5—42no—
514C22×C5—42no—
515C22×C5—84no—
516C22×C5#53612yes—
517C22×C5C2×#13512yes—
518C22×C5C2×AGL(1,ℤ/8)12yes—
519C22×C5C23×D411yescharacteristic
520C2×D5—42no—
521C2×D5—42no—
522C2×D5—42no—
523C2×D5—84no—
524C4×C5—22no—
525C4×C5—42no—
526C4×C5—42no—
527C4×C5—42no—
528C4×C5#53612yes—
529C4×C5C2×2−1+411yescharacteristic
530C4×C5C2×2−1+411yescharacteristic
531Dic5—22no—
532Dic5—22no—
533Dic5—42no—
534Dic5—42no—
535Dic5—42no—
536Dic5C2×#13514yes—
537Dic5C2×AGL(1,ℤ/8)14yes—
538C24—21no—
539C24—101no—
540C24D4×D511yescharacteristic
541#41—2032no—
542C2×Q8—104no—
543C2×Q8—104no—
544C2×Q8—104no—
545C2×Q8—204no—
546C2×Q8—204no—
547C2×Q8—204no—
548C2×D4—24no—
549C2×D4—21no—
550C2×D4—22no—
551C2×D4—22no—
552C2×D4—44no—
553C2×D4—52no—
554C2×D4—104no—
555C2×D4—104no—
556C2×D4—104no—
557C2×D4—101no—
558C2×D4—102no—
559C2×D4—102no—
560C2×D4—204no—
561C2×D4—204no—
562C2×D4—204no—
563C2×D4C23×D512yes—
564C22×C4—22no—
565C22×C4—22no—
566C22×C4—21no—
567C22×C4—21no—
568C22×C4—21no—
569C22×C4—51no—
570C22×C4—51no—
571C22×C4—54no—
572C22×C4—54no—
573C22×C4—51no—
574C22×C4—51no—
575C22×C4—104no—
576C22×C4—104no—
577C22×C4—104no—
578C22×C4—104no—
579C22×C4—101no—
580C22×C4—101no—
581C22×C4—101no—
582C22×C4—204no—
583C22×C4—204no—
584C22×C4D4×D512yes—
585C22×C4D4×D511yescharacteristic
586C22×C4C23×D512yes—
587C22×C4C23×D511yescharacteristic
588C2×C8—22no—
589C2×C8—22no—
590C2×C8—52no—
591C2×C8—52no—
592C2×C8—102no—
593C2×C8—102no—
594C2×C8C23×D512yes—
595C2×C8C23×D512yes—
596C4⋊C4—21no—
597C4⋊C4—21no—
598C4⋊C4—21no—
599C4⋊C4—52no—
600C4⋊C4—52no—
601C4⋊C4—52no—
602C4⋊C4—104no—
603C4⋊C4—104no—
604C4⋊C4—104no—
605C4⋊C4—104no—
606C4⋊C4—104no—
607C4⋊C4—104no—
608C4⋊C4—104no—
609C4⋊C4—101no—
610C4⋊C4—101no—
611C4⋊C4—101no—
612C4⋊C4C23×D512yes—
613C4⋊C4C23×D512yes—
614C4⋊C4C23×D512yes—
615C22⋊C4—24no—
616C22⋊C4—24no—
617C22⋊C4—104no—
618C22⋊C4—104no—
619C22⋊C4—104no—
620C22⋊C4—104no—
621C42—24no—
622C42—54no—
623C42—52no—
624C42—54no—
625C42—52no—
626C42—52no—
627C42—52no—
628C42—104no—
629C2×C5—42no—
630C2×C5—82no—
631C2×C5#322814yescomplemented
632C2×C5C2×#53611yescharacteristic
633C2×C5C22×#13511yescharacteristic
634C2×C5C22×AGL(1,ℤ/8)11yescharacteristic
635D5—82no—
636C23—22no—
637C23—22no—
638C23—22no—
639C23—22no—
640C23—42no—
641C23—42no—
642C23—42no—
643C23—102no—
644C23—202no—
645C23—202no—
646C23—202no—
647C23C2×D4×D512yes—
648C23C2×D4×D511yescharacteristic
649Q8—208no—
650Q8—208no—
651Q8—208no—
652D4—22no—
653D4—22no—
654D4—48no—
655D4—42no—
656D4—102no—
657D4—102no—
658D4—208no—
659D4—208no—
660D4—208no—
661D4—202no—
662C2×C4—22no—
663C2×C4—24no—
664C2×C4—22no—
665C2×C4—22no—
666C2×C4—22no—
667C2×C4—22no—
668C2×C4—22no—
669C2×C4—42no—
670C2×C4—42no—
671C2×C4—42no—
672C2×C4—54no—
673C2×C4—54no—
674C2×C4—52no—
675C2×C4—52no—
676C2×C4—52no—
677C2×C4—52no—
678C2×C4—108no—
679C2×C4—108no—
680C2×C4—102no—
681C2×C4—102no—
682C2×C4—102no—
683C2×C4—102no—
684C2×C4—102no—
685C2×C4—208no—
686C2×C4—208no—
687C2×C4—202no—
688C2×C4—202no—
689C2×C4—202no—
690C2×C4C2×D4×D512yes—
691C2×C4C2×D4×D511yescharacteristic
692C2×C4#415012yes—
693C2×C4#415012yes—
694C2×C4C24×D511yescharacteristic
695C8—22no—
696C8—22no—
697C8—102no—
698C8—102no—
699C5C2×#322811yescharacteristic, complemented, Sylow
700C22—22no—
701C22—22no—
702C22—22no—
703C22—44no—
704C22—42no—
705C22—42no—
706C22—42no—
707C22—84no—
708C22—202no—
709C22—202no—
710C22—202no—
711C22—404no—
712C22#6598212yes—
713C22D5×#13512yes—
714C22D5×AGL(1,ℤ/8)12yes—
715C22C22×D4×D511yescharacteristic
716C4—22no—
717C4—42no—
718C4—42no—
719C4—42no—
720C4—54no—
721C4—54no—
722C4—102no—
723C4—102no—
724C4—202no—
725C4—202no—
726C4—202no—
727C4#6598212yes—
728C4C2×#415011yescharacteristic
729C4C2×#415011yescharacteristic
730C2—42no—
731C2—82no—
732C2—402no—
733C2#1061308714yesdirect product factor
734C2C2×#6598211yescharacteristic
735C2C2×D5×#13511yescharacteristic
736C2C2×D5×AGL(1,ℤ/8)11yescharacteristic
subgroupG/H
centerC23C2×D4×D5
commutator, cosocleC2×C4×C5C25
FrattiniC2×C4C24×D5
FittingC2×C5×#482C2
socleC23×C5C22×D4
prime radicalC2×#65930C2
hypercenterC2×#482D5
hypocenterC5C2×#3228
LCSG ▷ C2×C4×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#482

Complements

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

NH ≅ G/Ntype
2. C2×#65851C2semidirect
3. C2×C5×#482C2semidirect
4. C2×#65324C2semidirect
5. C2×#65292C2semidirect
6. #10613087C2direct (N × H)
7. C2×#65180C2semidirect
8. C2×#65163C2semidirect
9. C2×#65160C2semidirect
10. C2×#65144C2semidirect
11. C2×#65049C2semidirect
12. C2×#65049C2semidirect
13. C2×#65052C2semidirect
14. C2×#65055C2semidirect
15. C2×#65026C2semidirect
16. C2×#65007C2semidirect
29. #65851C22semidirect
42. C5×#482C22semidirect
59. #65324C22semidirect
60. #65292C22semidirect
67. #65180C22semidirect
68. #65163C22semidirect
69. #65160C22semidirect
70. #65144C22semidirect
71. #65055C22semidirect
72. #65052C22semidirect
73. #65049C22semidirect
74. #65049C22semidirect
75. #65026C22semidirect
76. #65007C22semidirect
188. C2×#482D5semidirect
317. #482C2×D5semidirect
631. C2×C5#3228semidirect
699. C5C2×#3228semidirect
733. C2#10613087direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#659302
C2×#658512
C2×C5×#4822
C2×#653242
C2×#652922
#106130872
C2×#651802
C2×#651632
C2×#651602
C2×#651442
C2×#650492
C2×#650522
C2×#650552
C2×#650262
C2×#650072
C2×#32285