Finite Group Databasebeta

← C2×#10611690 #12963668

Subgroups — C2×#10611690 #12963668

Order 1280.

1894 conjugacy classes of subgroups.

The subgroup lattice has 680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#65912C211yesmaximal, characteristic
2C2×C5×#446C211yesmaximal, characteristic, complemented
3C2×#65313C211yesmaximal, characteristic, complemented
4#10611690C2116yesmaximal, direct product factor
5C2×#65128C211yesmaximal, characteristic
6C2×#65128C211yesmaximal, characteristic
7C2×#65126C211yesmaximal, characteristic
8C2×#65117C211yesmaximal, characteristic, complemented
9C2×#65117C211yesmaximal, characteristic, complemented
10C2×#65120C211yesmaximal, characteristic, complemented
11C2×#64997C211yesmaximal, characteristic
12C2×D5×#97C211yesmaximal, characteristic
13C2×#64990C211yesmaximal, characteristic, complemented
14C2×#64990C211yesmaximal, characteristic, complemented
15C2×#64978C211yesmaximal, characteristic
16C2×#64968C211yesmaximal, characteristic, complemented
17C2×C4×C5×Q8C2211yescharacteristic
18C2×#4092C411yescharacteristic
19C2×#4090C411yescharacteristic
20C22×#676C2211yescharacteristic
21C22×#676C2211yescharacteristic
22C22×C8×D5C2211yescharacteristic
23C22×C8×D5C2211yescharacteristic
24#65912C418yes—
25#65912C2218yes—
26C2×#4043C411yescharacteristic
27C2×#4042C411yescharacteristic
28C2×#4042C411yescharacteristic
29C2×#4035C411yescharacteristic
30C2×#4035C411yescharacteristic
31C2×#4034C411yescharacteristic
32C2×#4018C2211yescharacteristic
33C2×#4018C2211yescharacteristic
34C2×C42×D5C2211yescharacteristic
35C2×C4×Dic10C2211yescharacteristic
36C2×C4×Dic10C2211yescharacteristic
37C2×C4×Dic10C2211yescharacteristic
38C5×#446C2218yescomplemented
39C2×C5×C4⋊C8C2211yescharacteristic
40C2×C5×C4⋊C8C2211yescharacteristic
41C2×C5×C4⋊C8C2211yescharacteristic
42C2×C5×#97C2211yescharacteristic
43C2×C5×#97C2211yescharacteristic
44C2×C4×C5×C8C2211yescharacteristic
45C2×#3947C2211yescharacteristic
46C2×#3947C2211yescharacteristic
47C2×#3947C2211yescharacteristic
48C2×#3947C2211yescharacteristic
49C2×#3946C2211yescharacteristic
50C2×#3946C2211yescharacteristic
51C2×#3946C2211yescharacteristic
52C2×#3946C2211yescharacteristic
53C2×#3946C2211yescharacteristic
54C2×#3946C2211yescharacteristic
55C2×C8×Dic5C2211yescharacteristic
56C2×C8×Dic5C2211yescharacteristic
57#65313C2218yescomplemented
58C2×C4⋊#168C2211yescharacteristic
59C2×C4⋊#168C2211yescharacteristic
60C2×C4⋊#168C2211yescharacteristic
61C2×#3935C2211yescharacteristic
62C2×#3935C2211yescharacteristic
63C2×C4×#168C2211yescharacteristic
64#65128C2218yes—
65#65128C2218yes—
66#65126C2218yes—
67#65120C2218yescomplemented
68#65117C2218yescomplemented
69#65117C2218yescomplemented
70#64997C2218yes—
71D5×#97C2218yes—
72#64990C2218yescomplemented
73#64990C2218yescomplemented
74#64978C2218yes—
75#64968C2218yescomplemented
76C2×#2961—51nomaximal, Sylow
77C22×C5×Q8C2×C411yescharacteristic
78C22×C4×D5C2×C411yescharacteristic
79C22×C4×D5C2×C411yescharacteristic
80C22×C4×D5C2311yescharacteristic
81C22×Dic10C2×C411yescharacteristic
82C22×Dic10C2×C411yescharacteristic
83C22×Dic10C2×C411yescharacteristic
84C22×C5×C8C2311yescharacteristic
85C22×C5×C8C2311yescharacteristic
86C22×C5×C8C2311yescharacteristic
87C22×C5×C8C2311yescharacteristic
88C4×C5×Q8C2×C414yes—
89C4×C5×Q8C2314yes—
90C2×C5×C4⋊C4C2×C411yescharacteristic
91C2×C5×C4⋊C4C2×C411yescharacteristic
92C2×C5×C4⋊C4C2×C411yescharacteristic
93C2×C42×C5C2311yescharacteristic
94C2×C42×C5C2311yescharacteristic
95C2×C42×C5C2311yescharacteristic
96#4092C2×C418yes—
97#4090C2×C418yes—
98C2×#685C2×C411yescharacteristic
99C2×#685C2×C411yescharacteristic
100C2×#685C2×C411yescharacteristic
101C2×#685C2×C411yescharacteristic
102C2×C4⋊Dic5C2×C411yescharacteristic
103C2×C4⋊Dic5C2×C411yescharacteristic
104C2×C4⋊Dic5C2×C411yescharacteristic
105C2×#683C2×C411yescharacteristic
106C2×#683C2×C411yescharacteristic
107C2×#683C2×C411yescharacteristic
108C2×#683C2×C411yescharacteristic
109C2×#683C2×C411yescharacteristic
110C2×#683C2×C411yescharacteristic
111C2×#683C2×C411yescharacteristic
112C2×#683C2×C411yescharacteristic
113C2×#683C2×C411yescharacteristic
114C2×#683C2×C411yescharacteristic
115C2×C4×Dic5C2×C411yescharacteristic
116C2×C4×Dic5C2×C411yescharacteristic
117C2×C4×Dic5C2311yescharacteristic
118C2×C4×Dic5C2311yescharacteristic
119C2×C4×Dic5C2311yescharacteristic
120C22×#168C2311yescharacteristic
121C22×#168C2311yescharacteristic
122C22×#168C2311yescharacteristic
123C22×#168C2311yescharacteristic
124C2×#676—24no—
125C2×#676—24no—
126C2×#676C2314yes—
127C2×#676C2314yes—
128C2×C8×D5—24no—
129C2×C8×D5Q818yescomplemented
130C2×C8×D5C2314yes—
131C2×C8×D5C2314yes—
132#4043C2×C418yes—
133#4042C2×C418yes—
134#4042C2×C418yes—
135#4035C2×C418yes—
136#4035C2×C418yes—
137#4034C2×C418yes—
138#4018C2×C414yes—
139#4018C2×C414yes—
140#4018C2314yes—
141#4018C2314yes—
142C42×D5C2×C414yes—
143C42×D5C2314yes—
144C4×Dic10C2×C414yes—
145C4×Dic10C2×C414yes—
146C4×Dic10C2×C414yes—
147C4×Dic10C2314yes—
148C4×Dic10C2314yes—
149C4×Dic10C2314yes—
150C5×C4⋊C8C2314yes—
151C5×C4⋊C8C2314yes—
152C5×C4⋊C8C2314yes—
153C5×#97C2314yes—
154C5×#97C2314yes—
155C4×C5×C8C2314yes—
156#3947C2314yes—
157#3947C2314yes—
158#3947C2314yes—
159#3947C2314yes—
160#3946C2314yes—
161#3946C2314yes—
162#3946C2314yes—
163#3946C2314yes—
164#3946C2314yes—
165#3946C2314yes—
166C8×Dic5C2314yes—
167C8×Dic5C2314yes—
168C4⋊#168C2314yes—
169C4⋊#168C2314yes—
170C4⋊#168C2314yes—
171#3935C2314yes—
172#3935C2314yes—
173C4×#168C2314yes—
174C2×#533—51no—
175#2961—516no—
176C2×#446—51no—
177C2×#446—51no—
178C2×#446—51no—
179C2×#446—51no—
180C2×#446—51no—
181C2×#446—51no—
182C2×#446—51no—
183C2×#446D511yescharacteristic, complemented
184C2×#424—51no—
185C2×#424—51no—
186C2×#423—51no—
187C2×#405—51no—
188C2×#405—51no—
189C22×#97—51no—
190C23×D5C22×C411yescharacteristic
191C2×C5×Q8—42no—
192C2×C5×Q8C22×C414yes—
193C22×C4×C5C22×C411yescharacteristic
194C22×C4×C5C22×C411yescharacteristic
195C22×C4×C5C22×C411yescharacteristic
196C22×C4×C5C22×C411yescharacteristic
197C22×C4×C5C22×C411yescharacteristic
198C22×C4×C5C22×C411yescharacteristic
199C22×C4×C5C2411yescharacteristic
200C22×Dic5C22×C411yescharacteristic
201C22×Dic5C22×C411yescharacteristic
202C22×Dic5C22×C411yescharacteristic
203C22×Dic5C22×C411yescharacteristic
204C22×Dic5C22×C411yescharacteristic
205C22×Dic5C22×C411yescharacteristic
206C22×Dic5C22×C411yescharacteristic
207C2×C4×D5—42no—
208C2×C4×D5—42no—
209C2×C4×D5C22×C414yes—
210C2×C4×D5C22×C414yes—
211C2×C4×D5C22×C412yes—
212C2×C4×D5C2×Q814yes—
213C2×C4×D5#4114yes—
214C2×C4×D5C2412yes—
215C2×Dic10—42no—
216C2×Dic10—42no—
217C2×Dic10—42no—
218C2×Dic10C22×C414yes—
219C2×Dic10C22×C414yes—
220C2×Dic10C22×C414yes—
221C2×C5×C8—22no—
222C2×C5×C8—22no—
223C2×C5×C8—22no—
224C2×C5×C8C2×Q814yes—
225C2×C5×C8C2412yes—
226C2×C5×C8C2412yes—
227C2×C5×C8C2412yes—
228C2×C5×C8C2412yes—
229C5×C4⋊C4C22×C414yes—
230C5×C4⋊C4C22×C414yes—
231C5×C4⋊C4C22×C414yes—
232C42×C5C22×C412yes—
233C42×C5C22×C412yes—
234C42×C5C22×C412yes—
235C42×C5C2412yes—
236C42×C5C2412yes—
237C42×C5C2412yes—
238#685C22×C414yes—
239#685C22×C414yes—
240#685C22×C414yes—
241#685C22×C414yes—
242C4⋊Dic5C22×C414yes—
243C4⋊Dic5C22×C414yes—
244C4⋊Dic5C22×C414yes—
245#683C22×C414yes—
246#683C22×C414yes—
247#683C22×C414yes—
248#683C22×C414yes—
249#683C22×C414yes—
250#683C22×C414yes—
251#683C22×C414yes—
252#683C22×C414yes—
253#683C22×C414yes—
254#683C22×C414yes—
255C4×Dic5C22×C412yes—
256C4×Dic5C22×C412yes—
257C4×Dic5C22×C412yes—
258C4×Dic5C22×C414yes—
259C4×Dic5C22×C414yes—
260C4×Dic5C2412yes—
261C4×Dic5C2412yes—
262C4×Dic5C2412yes—
263C2×#168—22no—
264C2×#168—22no—
265C2×#168—22no—
266C2×#168C2×Q814yes—
267C2×#168C2412yes—
268C2×#168C2412yes—
269C2×#168C2412yes—
270C2×#168C2412yes—
271#676—28no—
272#676—28no—
273C8×D5—28no—
274C8×D5C2×Q8116yescomplemented
275C22×M16—51no—
276C22×M16—51no—
277C23×C8—51no—
278C23×C8—51no—
279#533—58no—
280#533—58no—
281C2×C4⋊Q8—51no—
282C2×C4⋊Q8—51no—
283C2×#125—51no—
284C2×#125—51no—
285C2×C22⋊Q8—51no—
286C2×C22⋊Q8—51no—
287C2×C22⋊Q8—51no—
288C2×C22⋊Q8—51no—
289C2×C4×Q8—51no—
290C2×C4×Q8—51no—
291C2×C4×Q8—51no—
292C2×C4×Q8C2×D511yescharacteristic
293C2×#117—51no—
294C2×#117—51no—
295C22×C42—51no—
296#446—58no—
297#446—58no—
298#446—58no—
299#446—58no—
300#446—58no—
301#446—58no—
302#446—58no—
303#446C2×D518yescomplemented
304#424—58no—
305#424—58no—
306#423—58no—
307C2×C4⋊C8—51no—
308C2×C4⋊C8—51no—
309C2×C4⋊C8—51no—
310C2×C4⋊C8—51no—
311C2×C4⋊C8—51no—
312C2×C4⋊C8—51no—
313C2×C4⋊C8—51no—
314C2×C4⋊C8—51no—
315C2×C4⋊C8—51no—
316C2×C4⋊C8C2×D511yescharacteristic
317C2×C4⋊C8C2×D511yescharacteristic
318C2×C4⋊C8C2×D511yescharacteristic
319#405—58no—
320#405—58no—
321C2×#97—51no—
322C2×#97—51no—
323C2×#97—51no—
324C2×#97—51no—
325C2×#97—51no—
326C2×#97—51no—
327C2×#97—58no—
328C2×#97C2×D511yescharacteristic
329C2×#97C2×D511yescharacteristic
330C2×C4×C8—51no—
331C2×C4×C8—51no—
332C2×C4×C8—51no—
333C2×C4×C8C2×D511yescharacteristic
334C23×C5C23×C411yescharacteristic
335C22×D5—22no—
336C22×D5—22no—
337C22×D5C4×Q814yes—
338C22×D5C23×C412yes—
339C5×Q8—44no—
340C2×C4×C5—22no—
341C2×C4×C5—22no—
342C2×C4×C5—22no—
343C2×C4×C5—22no—
344C2×C4×C5—22no—
345C2×C4×C5—22no—
346C2×C4×C5C23×C412yes—
347C2×C4×C5C23×C412yes—
348C2×C4×C5C23×C412yes—
349C2×C4×C5C23×C412yes—
350C2×C4×C5C23×C412yes—
351C2×C4×C5C23×C412yes—
352C2×C4×C5C23×C411yescharacteristic
353C2×C4×C5C22×Q812yes—
354C2×C4×C5C2×#4112yes—
355C2×C4×C5C2511yescharacteristic
356C2×Dic5—22no—
357C2×Dic5—22no—
358C2×Dic5—22no—
359C2×Dic5—22no—
360C2×Dic5—22no—
361C2×Dic5—22no—
362C2×Dic5C4×Q814yes—
363C2×Dic5C23×C412yes—
364C2×Dic5C23×C412yes—
365C2×Dic5C23×C412yes—
366C2×Dic5C23×C412yes—
367C2×Dic5C23×C412yes—
368C2×Dic5C23×C412yes—
369C2×Dic5C23×C412yes—
370C4×D5—44no—
371C4×D5—44no—
372C4×D5C4×Q818yes—
373C4×D5C22×Q814yes—
374C4×D5C2×#4114yes—
375Dic10—44no—
376Dic10—44no—
377Dic10—44no—
378C5×C8—22no—
379C5×C8—22no—
380C5×C8—22no—
381C5×C8C22×Q814yes—
382#168—22no—
383#168—22no—
384#168—22no—
385#168C22×Q814yes—
386C22×Q8—51no—
387C22×Q8—51no—
388C22×Q8—51no—
389C22×Q8C4×D511yescharacteristic
390C23×C4—51no—
391C23×C4—51no—
392C23×C4—51no—
393C2×M16—54no—
394C2×M16—54no—
395C2×M16—104no—
396C2×M16—104no—
397C22×C8—51no—
398C22×C8—58no—
399C22×C8—54no—
400C22×C8—51no—
401C22×C8—51no—
402C22×C8—51no—
403C22×C8—54no—
404C22×C8—104no—
405C22×C8C22×D511yescharacteristic
406C22×C8C22×D511yescharacteristic
407C22×C8C22×D511yescharacteristic
408C22×C8C22×D511yescharacteristic
409C4⋊Q8—58no—
410C4⋊Q8—58no—
411#125—58no—
412#125—58no—
413C22⋊Q8—58no—
414C22⋊Q8—58no—
415C22⋊Q8—58no—
416C22⋊Q8—58no—
417C4×Q8—54no—
418C4×Q8—54no—
419C4×Q8—54no—
420C4×Q8—54no—
421C4×Q8—54no—
422C4×Q8—54no—
423C4×Q8C4×D514yes—
424C4×Q8C22×D514yes—
425#117—54no—
426#117—54no—
427#117—54no—
428#117—54no—
429C2×C4⋊C4—51no—
430C2×C4⋊C4—51no—
431C2×C4⋊C4—51no—
432C2×C4⋊C4—51no—
433C2×C4⋊C4—51no—
434C2×C4⋊C4—51no—
435C2×C4⋊C4—51no—
436C2×C4⋊C4—51no—
437C2×C4⋊C4—51no—
438C2×C4⋊C4—51no—
439C2×C4⋊C4—51no—
440C2×C4⋊C4—51no—
441C2×C4⋊C4—51no—
442C2×C4⋊C4C4×D511yescharacteristic
443C2×C4⋊C4C4×D511yescharacteristic
444C2×C4⋊C4C4×D511yescharacteristic
445C2×C22⋊C4—51no—
446C2×C22⋊C4—51no—
447C2×C22⋊C4—51no—
448C2×C22⋊C4—51no—
449C2×C42—51no—
450C2×C42—51no—
451C2×C42—51no—
452C2×C42—51no—
453C2×C42—51no—
454C2×C42—54no—
455C2×C42—54no—
456C2×C42C22×D511yescharacteristic
457C2×C42C22×D511yescharacteristic
458C2×C42C22×D511yescharacteristic
459C4⋊C8—54no—
460C4⋊C8—54no—
461C4⋊C8—54no—
462C4⋊C8—54no—
463C4⋊C8—54no—
464C4⋊C8—54no—
465C4⋊C8—54no—
466C4⋊C8—54no—
467C4⋊C8—54no—
468C4⋊C8C22×D514yes—
469C4⋊C8C22×D514yes—
470C4⋊C8C22×D514yes—
471#97—54no—
472#97—54no—
473#97—54no—
474#97—54no—
475#97—54no—
476#97—54no—
477#97C22×D514yes—
478#97C22×D514yes—
479C4×C8—54no—
480C4×C8—54no—
481C4×C8—54no—
482C4×C8C22×D514yes—
483C22×C5C2×C4×Q812yes—
484C22×C5#56812yes—
485C22×C5#56812yes—
486C22×C5C24×C411yescharacteristic
487C2×D5—28no—
488C2×D5—22no—
489C2×D5—22no—
490C2×D5C2×C4×Q814yes—
491C4×C5—22no—
492C4×C5—22no—
493C4×C5—22no—
494C4×C5—22no—
495C4×C5—22no—
496C4×C5—22no—
497C4×C5C2×C4×Q812yes—
498C4×C5C23×Q811yescharacteristic
499C4×C5C22×#4111yescharacteristic
500Dic5—22no—
501Dic5—22no—
502Dic5—22no—
503Dic5—22no—
504Dic5—22no—
505Dic5—22no—
506Dic5C2×C4×Q814yes—
507C24—51no—
508C2×Q8—42no—
509C2×Q8—54no—
510C2×Q8—54no—
511C2×Q8—54no—
512C2×Q8—202no—
513C2×Q8—202no—
514C2×Q8—202no—
515C2×Q8C2×C4×D514yes—
516C22×C4—51no—
517C22×C4—52no—
518C22×C4—54no—
519C22×C4—54no—
520C22×C4—52no—
521C22×C4—51no—
522C22×C4—51no—
523C22×C4—51no—
524C22×C4—51no—
525C22×C4—51no—
526C22×C4—51no—
527C22×C4—54no—
528C22×C4—54no—
529C22×C4—202no—
530C22×C4—202no—
531C22×C4C2×C4×D511yescharacteristic
532C22×C4C2×C4×D511yescharacteristic
533C22×C4C2×C4×D511yescharacteristic
534C22×C4C2×C4×D511yescharacteristic
535C22×C4C2×C4×D511yescharacteristic
536C22×C4C2×C4×D511yescharacteristic
537C22×C4C23×D511yescharacteristic
538M16—108no—
539M16—108no—
540C2×C8—22no—
541C2×C8—22no—
542C2×C8—22no—
543C2×C8—54no—
544C2×C8—52no—
545C2×C8—516no—
546C2×C8—52no—
547C2×C8—52no—
548C2×C8—52no—
549C2×C8—108no—
550C2×C8—102no—
551C2×C8—102no—
552C2×C8—102no—
553C2×C8Q8×D514yes—
554C2×C8C23×D512yes—
555C2×C8C23×D512yes—
556C2×C8C23×D512yes—
557C2×C8C23×D512yes—
558C4⋊C4—54no—
559C4⋊C4—54no—
560C4⋊C4—54no—
561C4⋊C4—54no—
562C4⋊C4—54no—
563C4⋊C4—54no—
564C4⋊C4—54no—
565C4⋊C4—54no—
566C4⋊C4—54no—
567C4⋊C4—54no—
568C4⋊C4—54no—
569C4⋊C4—54no—
570C4⋊C4—54no—
571C4⋊C4C2×C4×D514yes—
572C4⋊C4C2×C4×D514yes—
573C4⋊C4C2×C4×D514yes—
574C22⋊C4—54no—
575C22⋊C4—54no—
576C22⋊C4—54no—
577C22⋊C4—54no—
578C42—52no—
579C42—54no—
580C42—54no—
581C42—52no—
582C42—52no—
583C42—52no—
584C42—52no—
585C42—52no—
586C42C2×C4×D512yes—
587C42C2×C4×D512yes—
588C42C2×C4×D512yes—
589C42C23×D512yes—
590C42C23×D512yes—
591C42C23×D512yes—
592C2×C5#296114yescomplemented
593C2×C5C22×C4×Q811yescharacteristic
594C2×C5C2×#56811yescharacteristic
595C2×C5C2×#56811yescharacteristic
596D5—24no—
597C23—54no—
598C23—52no—
599C23—102no—
600C23—102no—
601C23C22×C4×D511yescharacteristic
602Q8—44no—
603Q8—204no—
604Q8—204no—
605Q8—204no—
606C2×C4—22no—
607C2×C4—22no—
608C2×C4—22no—
609C2×C4—22no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—54no—
613C2×C4—52no—
614C2×C4—58no—
615C2×C4—54no—
616C2×C4—54no—
617C2×C4—52no—
618C2×C4—52no—
619C2×C4—52no—
620C2×C4—52no—
621C2×C4—52no—
622C2×C4—52no—
623C2×C4—102no—
624C2×C4—102no—
625C2×C4—102no—
626C2×C4—102no—
627C2×C4—102no—
628C2×C4—102no—
629C2×C4—204no—
630C2×C4—204no—
631C2×C4C22×C4×D512yes—
632C2×C4C22×C4×D512yes—
633C2×C4C22×C4×D512yes—
634C2×C4C22×C4×D512yes—
635C2×C4C22×C4×D512yes—
636C2×C4C22×C4×D512yes—
637C2×C4C22×C4×D511yescharacteristic
638C2×C4C2×Q8×D512yes—
639C2×C4D5×#4112yes—
640C2×C4C24×D511yescharacteristic
641C8—22no—
642C8—22no—
643C8—22no—
644C8—54no—
645C8—102no—
646C8—102no—
647C8—102no—
648C8C2×Q8×D514yes—
649C5C2×#296111yescharacteristic, complemented, Sylow
650C22—54no—
651C22—102no—
652C22—102no—
653C22—108no—
654C22C4×Q8×D512yes—
655C22#6607912yes—
656C22#6608412yes—
657C22C23×C4×D511yescharacteristic
658C4—22no—
659C4—22no—
660C4—22no—
661C4—22no—
662C4—22no—
663C4—22no—
664C4—54no—
665C4—102no—
666C4—102no—
667C4—102no—
668C4—102no—
669C4—102no—
670C4—102no—
671C4C4×Q8×D512yes—
672C4C22×Q8×D511yescharacteristic
673C4C2×D5×#4111yescharacteristic
674C2—104no—
675C2#1061169014yesdirect product factor
676C2C2×C4×Q8×D511yescharacteristic
677C2C2×#6607911yescharacteristic
678C2C2×#6608411yescharacteristic
subgroupG/H
centerC22×C4C23×D5
commutatorC22×C5C24×C4
FrattiniC2×C4C24×D5
FittingC2×C5×#446C2
socleC23×C5C23×C4
prime radicalC23×D5C22×C4
cosocleC2×C4×C5C25
hypercenterC2×#446D5
hypocenterC5C2×#2961
LCSG ▷ C22×C5 ▷ C5
UCSC1 ◁ C22×C4 ◁ C2×#446

Complements

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

NH ≅ G/Ntype
2. C2×C5×#446C2semidirect
3. C2×#65313C2semidirect
4. #10611690C2direct (N × H)
8. C2×#65117C2semidirect
9. C2×#65117C2semidirect
10. C2×#65120C2semidirect
13. C2×#64990C2semidirect
14. C2×#64990C2semidirect
16. C2×#64968C2semidirect
38. C5×#446C22semidirect
57. #65313C22semidirect
67. #65120C22semidirect
68. #65117C22semidirect
69. #65117C22semidirect
72. #64990C22semidirect
73. #64990C22semidirect
75. #64968C22semidirect
129. C2×C8×D5Q8semidirect
183. C2×#446D5semidirect
274. C8×D5C2×Q8semidirect
303. #446C2×D5semidirect
592. C2×C5#2961semidirect
649. C5C2×#2961semidirect
675. C2#10611690direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#659122
C2×C5×#4462
C2×#653132
#106116902
C2×#651282
C2×#651262
C2×#651172
C2×#651202
C2×#649972
C2×D5×#972
C2×#649902
C2×#649782
C2×#649682
C2×#29615