Finite Group Databasebeta

← C2×#10607298 #12268486

Subgroups — C2×#10607298 #12268486

Order 1280.

2270 conjugacy classes of subgroups.

The subgroup lattice has 716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C5×#388C211yesmaximal, characteristic
2C2×#65273C211yesmaximal, characteristic, complemented
3C2×#65274C211yesmaximal, characteristic, complemented
4C2×#65238C211yesmaximal, characteristic
5C2×#65237C211yesmaximal, characteristic
6C2×#65240C211yesmaximal, characteristic
7C2×#65239C211yesmaximal, characteristic
8C2×#65231C211yesmaximal, characteristic
9C2×C22⋊C4×Dic5C211yesmaximal, characteristic
10C2×#65217C211yesmaximal, characteristic, complemented
11C2×C4×#683C211yesmaximal, characteristic, complemented
12#10607298C2116yesmaximal, direct product factor
13C2×#64946C211yesmaximal, characteristic, complemented
14C2×#64944C211yesmaximal, characteristic, complemented
15C2×#64944C211yesmaximal, characteristic, complemented
16C2×#64943C211yesmaximal, characteristic, complemented
17C24×Dic5C2211yescharacteristic
18C22×C5×C4⋊C4C2211yescharacteristic
19C22×C5×C22⋊C4C2211yescharacteristic
20C22×C5×C22⋊C4C2211yescharacteristic
21C22×C5×C22⋊C4C2211yescharacteristic
22C22×C42×C5C2211yescharacteristic
23C22×C22⋊Dic5C2211yescharacteristic
24C22×C22⋊Dic5C2211yescharacteristic
25C22×C22⋊Dic5C2211yescharacteristic
26C22×C4⋊Dic5C2211yescharacteristic
27C22×C4⋊Dic5C2211yescharacteristic
28C22×C4⋊Dic5C2211yescharacteristic
29C22×C4⋊Dic5C2211yescharacteristic
30C22×C4⋊Dic5C2211yescharacteristic
31C22×#683C2211yescharacteristic
32C22×#683C2211yescharacteristic
33C22×#683C2211yescharacteristic
34C22×#683C2211yescharacteristic
35C22×#683C2211yescharacteristic
36C22×#683C2211yescharacteristic
37C22×C4×Dic5C2211yescharacteristic
38C22×C4×Dic5C2211yescharacteristic
39C22×C4×Dic5C2211yescharacteristic
40C5×#388C2218yes—
41C2×C5×#95C2211yescharacteristic
42C2×C5×#95C2211yescharacteristic
43C2×#3963C2211yescharacteristic
44C2×#3963C2211yescharacteristic
45C2×#3963C2211yescharacteristic
46C2×#3963C2211yescharacteristic
47C2×#3963C2211yescharacteristic
48C2×#3963C2211yescharacteristic
49C2×#3963C2211yescharacteristic
50C2×#3963C2211yescharacteristic
51C2×#3963C2211yescharacteristic
52C2×#3963C2211yescharacteristic
53#65274C2218yescomplemented
54#65273C2218yescomplemented
55#65240C2218yes—
56#65239C2218yes—
57#65238C2218yes—
58#65237C2218yes—
59#65231C2218yes—
60C22⋊C4×Dic5C2218yes—
61C4×#683C2218yescomplemented
62#65217C2218yescomplemented
63#64946C2218yescomplemented
64#64944C2218yescomplemented
65#64944C2218yescomplemented
66#64943C2218yescomplemented
67C2×#2522—51nomaximal, Sylow
68C25×C5C2311yescharacteristic
69C23×C4×C5C2311yescharacteristic
70C23×C4×C5C2311yescharacteristic
71C23×C4×C5C2311yescharacteristic
72C23×C4×C5C2311yescharacteristic
73C23×C4×C5C2311yescharacteristic
74C23×C4×C5C2311yescharacteristic
75C23×Dic5—24no—
76C23×Dic5—24no—
77C23×Dic5—42no—
78C23×Dic5C2311yescharacteristic
79C23×Dic5C2311yescharacteristic
80C23×Dic5C2311yescharacteristic
81C23×Dic5C2311yescharacteristic
82C23×Dic5C2311yescharacteristic
83C23×Dic5C2314yes—
84C23×Dic5C2311yescharacteristic
85C23×Dic5C2311yescharacteristic
86C23×Dic5C2311yescharacteristic
87C2×C5×C4⋊C4—24no—
88C2×C5×C4⋊C4C2314yes—
89C2×C5×C22⋊C4—24no—
90C2×C5×C22⋊C4—42no—
91C2×C5×C22⋊C4Q818yes—
92C2×C5×C22⋊C4C2314yes—
93C2×C5×C22⋊C4C2314yes—
94C2×C5×C22⋊C4C2314yes—
95C2×C42×C5—42no—
96C2×C42×C5C2314yes—
97C2×C22⋊Dic5—24no—
98C2×C22⋊Dic5—42no—
99C2×C22⋊Dic5—42no—
100C2×C22⋊Dic5C2314yes—
101C2×C22⋊Dic5C2314yes—
102C2×C22⋊Dic5C2314yes—
103C2×C4⋊Dic5—24no—
104C2×C4⋊Dic5—24no—
105C2×C4⋊Dic5—42no—
106C2×C4⋊Dic5—42no—
107C2×C4⋊Dic5—42no—
108C2×C4⋊Dic5C2314yes—
109C2×C4⋊Dic5C2314yes—
110C2×C4⋊Dic5C2314yes—
111C2×C4⋊Dic5C2314yes—
112C2×C4⋊Dic5C2314yes—
113C2×#683—24no—
114C2×#683—24no—
115C2×#683—24no—
116C2×#683—24no—
117C2×#683—42no—
118C2×#683—42no—
119C2×#683C2314yes—
120C2×#683C2314yes—
121C2×#683C2314yes—
122C2×#683C2314yes—
123C2×#683C2314yes—
124C2×#683C2314yes—
125C2×C4×Dic5—24no—
126C2×C4×Dic5—42no—
127C2×C4×Dic5—42no—
128C2×C4×Dic5C2314yes—
129C2×C4×Dic5C2314yes—
130C2×C4×Dic5C2314yes—
131C5×#95C2314yes—
132C5×#95C2314yes—
133#3963C2314yes—
134#3963C2314yes—
135#3963C2314yes—
136#3963C2314yes—
137#3963C2314yes—
138#3963C2314yes—
139#3963C2314yes—
140#3963C2314yes—
141#3963C2314yes—
142#3963C2314yes—
143#2522—516no—
144C2×#399—51no—
145C2×#398—51no—
146C2×#398—51no—
147C2×#396—51no—
148C2×#389—51no—
149C2×#389—51no—
150C2×#388—51no—
151C2×#388D511yescharacteristic
152C2×#387—51no—
153C2×#387—51no—
154C2×#387—51no—
155C2×#385—51no—
156C2×#380—51no—
157C2×C4×C4⋊C4—51no—
158C2×C4×C22⋊C4—51no—
159C24×C5—22no—
160C24×C5—22no—
161C24×C5—22no—
162C24×C5—22no—
163C24×C5—22no—
164C24×C5—22no—
165C24×C5C2×Q814yes—
166C24×C5C2412yes—
167C24×C5C2411yescharacteristic
168C22×C4×C5—22no—
169C22×C4×C5—22no—
170C22×C4×C5—22no—
171C22×C4×C5—22no—
172C22×C4×C5—22no—
173C22×C4×C5—22no—
174C22×C4×C5—22no—
175C22×C4×C5—22no—
176C22×C4×C5—22no—
177C22×C4×C5—22no—
178C22×C4×C5—22no—
179C22×C4×C5—22no—
180C22×C4×C5—22no—
181C22×C4×C5—22no—
182C22×C4×C5—22no—
183C22×C4×C5C2×Q814yes—
184C22×C4×C5C2×Q814yes—
185C22×C4×C5#4114yes—
186C22×C4×C5C2412yes—
187C22×C4×C5C2412yes—
188C22×C4×C5C2412yes—
189C22×C4×C5C2412yes—
190C22×C4×C5C2412yes—
191C22×C4×C5C2412yes—
192C22×Dic5—22no—
193C22×Dic5—22no—
194C22×Dic5—22no—
195C22×Dic5—22no—
196C22×Dic5—22no—
197C22×Dic5—22no—
198C22×Dic5—22no—
199C22×Dic5—22no—
200C22×Dic5—22no—
201C22×Dic5—22no—
202C22×Dic5—22no—
203C22×Dic5—22no—
204C22×Dic5—22no—
205C22×Dic5—22no—
206C22×Dic5—22no—
207C22×Dic5—22no—
208C22×Dic5—22no—
209C22×Dic5—22no—
210C22×Dic5—22no—
211C22×Dic5—22no—
212C22×Dic5—22no—
213C22×Dic5—28no—
214C22×Dic5—28no—
215C22×Dic5—44no—
216C22×Dic5—416no—
217C22×Dic5#4114yes—
218C22×Dic5#4114yes—
219C22×Dic5#4114yes—
220C22×Dic5C2412yes—
221C22×Dic5C2412yes—
222C22×Dic5C2412yes—
223C22×Dic5C2412yes—
224C22×Dic5C2412yes—
225C22×Dic5C2412yes—
226C22×Dic5C2412yes—
227C22×Dic5C2412yes—
228C5×C4⋊C4—28no—
229C5×C22⋊C4—28no—
230C5×C22⋊C4—44no—
231C5×C22⋊C4C2×Q8116yes—
232C42×C5—44no—
233C22⋊Dic5—28no—
234C22⋊Dic5—44no—
235C22⋊Dic5—44no—
236C4⋊Dic5—28no—
237C4⋊Dic5—28no—
238C4⋊Dic5—44no—
239C4⋊Dic5—44no—
240C4⋊Dic5—44no—
241#683—28no—
242#683—28no—
243#683—28no—
244#683—28no—
245#683—44no—
246#683—44no—
247C4×Dic5—28no—
248C4×Dic5—44no—
249C4×Dic5—44no—
250C24×C4—51no—
251C22×C4⋊C4—51no—
252C22×C4⋊C4—51no—
253C22×C4⋊C4—51no—
254C22×C4⋊C4—51no—
255C22×C4⋊C4—51no—
256C22×C4⋊C4—51no—
257C22×C4⋊C4—51no—
258C22×C4⋊C4—51no—
259C22×C4⋊C4—51no—
260C22×C4⋊C4—51no—
261C22×C4⋊C4—51no—
262C22×C4⋊C4C2×D511yescharacteristic
263C22×C22⋊C4—51no—
264C22×C22⋊C4—51no—
265C22×C22⋊C4—51no—
266C22×C22⋊C4C2×D511yescharacteristic
267C22×C22⋊C4C2×D511yescharacteristic
268C22×C22⋊C4C2×D511yescharacteristic
269C22×C42—51no—
270C22×C42—51no—
271C22×C42—51no—
272C22×C42C2×D511yescharacteristic
273#399—58no—
274#398—58no—
275#398—58no—
276#396—58no—
277#389—58no—
278#389—58no—
279#388—58no—
280#388C2×D518yes—
281#387—58no—
282#387—58no—
283#387—58no—
284#385—58no—
285#380—58no—
286C4×C4⋊C4—58no—
287C4×C22⋊C4—58no—
288C2×#95—51no—
289C2×#95—51no—
290C2×#95—51no—
291C2×#95—51no—
292C2×#95—51no—
293C2×#95—51no—
294C2×#95—51no—
295C2×#95—51no—
296C2×#95—51no—
297C2×#95—51no—
298C2×#95C2×D511yescharacteristic
299C2×#95C2×D511yescharacteristic
300C23×C5—28no—
301C23×C5—28no—
302C23×C5—28no—
303C23×C5—22no—
304C23×C5—22no—
305C23×C5—22no—
306C23×C5—22no—
307C23×C5—22no—
308C23×C5—22no—
309C23×C5—44no—
310C23×C5—44no—
311C23×C5—44no—
312C23×C5—44no—
313C23×C5C22×Q814yes—
314C23×C5C22×Q812yes—
315C23×C5C2×#4112yes—
316C23×C5C2×#4112yes—
317C23×C5C2×#4112yes—
318C23×C5C2×#4112yes—
319C23×C5H(5,𝔽2)12yes—
320C23×C5H(5,𝔽2)12yes—
321C23×C5C2511yescharacteristic
322C2×C4×C5—28no—
323C2×C4×C5—28no—
324C2×C4×C5—28no—
325C2×C4×C5—22no—
326C2×C4×C5—22no—
327C2×C4×C5—22no—
328C2×C4×C5—22no—
329C2×C4×C5—22no—
330C2×C4×C5—22no—
331C2×C4×C5—22no—
332C2×C4×C5—22no—
333C2×C4×C5—22no—
334C2×C4×C5—22no—
335C2×C4×C5—22no—
336C2×C4×C5—22no—
337C2×C4×C5—22no—
338C2×C4×C5—22no—
339C2×C4×C5—22no—
340C2×C4×C5—44no—
341C2×C4×C5—44no—
342C2×C4×C5—44no—
343C2×C4×C5C22×Q814yes—
344C2×C4×C5C22×Q814yes—
345C2×C4×C5C2×#4114yes—
346C2×Dic5—28no—
347C2×Dic5—28no—
348C2×Dic5—28no—
349C2×Dic5—22no—
350C2×Dic5—22no—
351C2×Dic5—22no—
352C2×Dic5—22no—
353C2×Dic5—22no—
354C2×Dic5—22no—
355C2×Dic5—22no—
356C2×Dic5—22no—
357C2×Dic5—22no—
358C2×Dic5—22no—
359C2×Dic5—22no—
360C2×Dic5—22no—
361C2×Dic5—22no—
362C2×Dic5—22no—
363C2×Dic5—22no—
364C2×Dic5—22no—
365C2×Dic5—22no—
366C2×Dic5—22no—
367C2×Dic5—22no—
368C2×Dic5—22no—
369C2×Dic5—22no—
370C2×Dic5—416no—
371C2×Dic5—44no—
372C2×Dic5—44no—
373C2×Dic5—44no—
374C2×Dic5—44no—
375C2×Dic5—44no—
376C2×Dic5C2×#4114yes—
377C2×Dic5C2×#4114yes—
378C2×Dic5C2×#4114yes—
379C25C22×D511yescharacteristic
380C23×C4—51no—
381C23×C4—51no—
382C23×C4—51no—
383C23×C4—51no—
384C23×C4—51no—
385C23×C4—51no—
386C23×C4—51no—
387C23×C4—51no—
388C23×C4—54no—
389C23×C4—104no—
390C23×C4—104no—
391C23×C4—202no—
392C23×C4C22×D511yescharacteristic
393C23×C4C22×D511yescharacteristic
394C23×C4C22×D511yescharacteristic
395C23×C4C22×D511yescharacteristic
396C23×C4C22×D511yescharacteristic
397C23×C4C22×D511yescharacteristic
398C2×C4⋊C4—24no—
399C2×C4⋊C4—54no—
400C2×C4⋊C4—54no—
401C2×C4⋊C4—54no—
402C2×C4⋊C4—54no—
403C2×C4⋊C4—54no—
404C2×C4⋊C4—54no—
405C2×C4⋊C4—54no—
406C2×C4⋊C4—54no—
407C2×C4⋊C4—54no—
408C2×C4⋊C4—54no—
409C2×C4⋊C4—54no—
410C2×C4⋊C4—104no—
411C2×C4⋊C4—104no—
412C2×C4⋊C4—104no—
413C2×C4⋊C4—104no—
414C2×C4⋊C4—104no—
415C2×C4⋊C4—104no—
416C2×C4⋊C4—202no—
417C2×C4⋊C4—202no—
418C2×C4⋊C4—202no—
419C2×C4⋊C4—202no—
420C2×C4⋊C4—202no—
421C2×C4⋊C4C22×D514yes—
422C2×C22⋊C4—24no—
423C2×C22⋊C4—42no—
424C2×C22⋊C4—54no—
425C2×C22⋊C4—54no—
426C2×C22⋊C4—54no—
427C2×C22⋊C4—104no—
428C2×C22⋊C4—202no—
429C2×C22⋊C4—202no—
430C2×C22⋊C4Dic1018yes—
431C2×C22⋊C4C22×D514yes—
432C2×C22⋊C4C22×D514yes—
433C2×C22⋊C4C22×D514yes—
434C2×C42—42no—
435C2×C42—54no—
436C2×C42—54no—
437C2×C42—54no—
438C2×C42—104no—
439C2×C42—202no—
440C2×C42—202no—
441C2×C42C22×D514yes—
442#95—54no—
443#95—54no—
444#95—54no—
445#95—54no—
446#95—54no—
447#95—54no—
448#95—54no—
449#95—54no—
450#95—54no—
451#95—54no—
452#95C22×D514yes—
453#95C22×D514yes—
454C22×C5—24no—
455C22×C5—24no—
456C22×C5—24no—
457C22×C5—42no—
458C22×C5—42no—
459C22×C5—42no—
460C22×C5—42no—
461C22×C5—416no—
462C22×C5#52914yes—
463C22×C5#53314yes—
464C22×C5#54014yes—
465C22×C5#55114yes—
466C22×C5#55314yes—
467C22×C5#55414yes—
468C22×C5#55414yes—
469C22×C5C23×Q811yescharacteristic
470C22×C5C22×#4111yescharacteristic
471C22×C5C22×#4111yescharacteristic
472C22×C5C22×#4111yescharacteristic
473C22×C5C22×#4111yescharacteristic
474C22×C5C2×H(5,𝔽2)11yescharacteristic
475C22×C5C2×H(5,𝔽2)11yescharacteristic
476C4×C5—24no—
477C4×C5—24no—
478C4×C5—24no—
479C4×C5—42no—
480C4×C5—42no—
481C4×C5—42no—
482Dic5—24no—
483Dic5—24no—
484Dic5—24no—
485Dic5—42no—
486Dic5—42no—
487Dic5—42no—
488Dic5—42no—
489Dic5—42no—
490C24—22no—
491C24—22no—
492C24—22no—
493C24—22no—
494C24—22no—
495C24—22no—
496C24C2×Dic1014yes—
497C24C23×D512yes—
498C24C23×D511yescharacteristic
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—54no—
515C22×C4—54no—
516C22×C4—54no—
517C22×C4—52no—
518C22×C4—52no—
519C22×C4—52no—
520C22×C4—52no—
521C22×C4—52no—
522C22×C4—52no—
523C22×C4—52no—
524C22×C4—52no—
525C22×C4—108no—
526C22×C4—108no—
527C22×C4—102no—
528C22×C4—102no—
529C22×C4—102no—
530C22×C4—102no—
531C22×C4—102no—
532C22×C4—102no—
533C22×C4—102no—
534C22×C4—102no—
535C22×C4—102no—
536C22×C4—102no—
537C22×C4—102no—
538C22×C4—102no—
539C22×C4—102no—
540C22×C4—102no—
541C22×C4—102no—
542C22×C4—102no—
543C22×C4—102no—
544C22×C4—102no—
545C22×C4—102no—
546C22×C4—102no—
547C22×C4—102no—
548C22×C4—204no—
549C22×C4—2016no—
550C22×C4C2×Dic1014yes—
551C22×C4C2×Dic1014yes—
552C22×C4#71114yes—
553C22×C4C23×D512yes—
554C22×C4C23×D512yes—
555C22×C4C23×D512yes—
556C22×C4C23×D512yes—
557C22×C4C23×D512yes—
558C22×C4C23×D512yes—
559C4⋊C4—28no—
560C4⋊C4—108no—
561C4⋊C4—108no—
562C4⋊C4—108no—
563C4⋊C4—108no—
564C4⋊C4—108no—
565C4⋊C4—108no—
566C4⋊C4—204no—
567C4⋊C4—204no—
568C4⋊C4—204no—
569C4⋊C4—204no—
570C4⋊C4—204no—
571C22⋊C4—28no—
572C22⋊C4—44no—
573C22⋊C4—108no—
574C22⋊C4—204no—
575C22⋊C4—204no—
576C22⋊C4C2×Dic10116yes—
577C42—44no—
578C42—108no—
579C42—204no—
580C42—204no—
581C2×C5—44no—
582C2×C5#252218yescomplemented
583C2×C5C2×#52911yescharacteristic
584C2×C5C2×#53311yescharacteristic
585C2×C5C2×#54011yescharacteristic
586C2×C5C2×#55111yescharacteristic
587C2×C5C2×#55311yescharacteristic
588C2×C5C2×#55411yescharacteristic
589C2×C5C2×#55411yescharacteristic
590C23—28no—
591C23—28no—
592C23—28no—
593C23—22no—
594C23—22no—
595C23—22no—
596C23—22no—
597C23—22no—
598C23—22no—
599C23—44no—
600C23—44no—
601C23—44no—
602C23—44no—
603C23C22×Dic1014yes—
604C23C22×Dic1012yes—
605C23C2×#71112yes—
606C23#414412yes—
607C23D5×#4112yes—
608C23D5×#4112yes—
609C23D5×#4112yes—
610C23#414912yes—
611C23C24×D511yescharacteristic
612C2×C4—28no—
613C2×C4—28no—
614C2×C4—28no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—44no—
631C2×C4—44no—
632C2×C4—44no—
633C2×C4—54no—
634C2×C4—54no—
635C2×C4—54no—
636C2×C4—108no—
637C2×C4—102no—
638C2×C4—102no—
639C2×C4—102no—
640C2×C4—102no—
641C2×C4—102no—
642C2×C4—102no—
643C2×C4—108no—
644C2×C4—108no—
645C2×C4—102no—
646C2×C4—102no—
647C2×C4—102no—
648C2×C4—102no—
649C2×C4—102no—
650C2×C4—102no—
651C2×C4—102no—
652C2×C4—102no—
653C2×C4—102no—
654C2×C4—102no—
655C2×C4—102no—
656C2×C4—102no—
657C2×C4—102no—
658C2×C4—102no—
659C2×C4—102no—
660C2×C4—2016no—
661C2×C4—204no—
662C2×C4—204no—
663C2×C4—204no—
664C2×C4—204no—
665C2×C4—204no—
666C2×C4C22×Dic1014yes—
667C2×C4C22×Dic1014yes—
668C2×C4C2×#71114yes—
669C5C2×#252211yescharacteristic, complemented, Sylow
670C22—24no—
671C22—24no—
672C22—24no—
673C22—42no—
674C22—42no—
675C22—42no—
676C22—416no—
677C22—42no—
678C22#6585114yes—
679C22#6587314yes—
680C22#6587714yes—
681C22#6593514yes—
682C22#6599714yes—
683C22#6601414yes—
684C22#6603914yes—
685C22C23×Dic1011yescharacteristic
686C22C22×#71111yescharacteristic
687C22C2×#414411yescharacteristic
688C22C2×D5×#4111yescharacteristic
689C22C2×D5×#4111yescharacteristic
690C22C2×D5×#4111yescharacteristic
691C22C2×#414911yescharacteristic
692C4—24no—
693C4—24no—
694C4—24no—
695C4—42no—
696C4—42no—
697C4—42no—
698C4—104no—
699C4—104no—
700C4—104no—
701C4—202no—
702C4—202no—
703C4—202no—
704C4—202no—
705C4—202no—
706C2—44no—
707C2#1060729818yesdirect product factor
708C2C2×#6585111yescharacteristic
709C2C2×#6587711yescharacteristic
710C2C2×#6587311yescharacteristic
711C2C2×#6593511yescharacteristic
712C2C2×#6599711yescharacteristic
713C2C2×#6601411yescharacteristic
714C2C2×#6603911yescharacteristic
subgroupG/H
centerC24C23×D5
commutator, cosocleC23×C5C25
FrattiniC23C24×D5
FittingC2×C5×#388C2
socleC24×C5C24
prime radicalC25×C5C23
hypercenterC2×#388D5
hypocenterC5C2×#2522
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C24 ◁ C2×#388

Complements

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

NH ≅ G/Ntype
2. C2×#65273C2semidirect
3. C2×#65274C2semidirect
10. C2×#65217C2semidirect
11. C2×C4×#683C2semidirect
12. #10607298C2direct (N × H)
13. C2×#64946C2semidirect
14. C2×#64944C2semidirect
15. C2×#64944C2semidirect
16. C2×#64943C2semidirect
53. #65274C22semidirect
54. #65273C22semidirect
61. C4×#683C22semidirect
62. #65217C22semidirect
63. #64946C22semidirect
64. #64944C22semidirect
65. #64944C22semidirect
66. #64943C22semidirect
582. C2×C5#2522semidirect
669. C5C2×#2522semidirect
707. C2#10607298direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C5×#3882
C2×#652732
C2×#652742
C2×#652382
C2×#652372
C2×#652402
C2×#652392
C2×#652312
C2×C22⋊C4×Dic52
C2×#652172
C2×C4×#6832
#106072982
C2×#649462
C2×#649442
C2×#649432
C2×#25225