Finite Group Databasebeta

← C2×#10613119 #12977765

Subgroups — C2×#10613119 #12977765

Order 1280.

1994 conjugacy classes of subgroups.

The subgroup lattice has 760 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#65948C211yesmaximal, characteristic, complemented
2C2×#65864C211yesmaximal, characteristic, complemented
3C2×C5×#482C211yesmaximal, characteristic, complemented
4C2×#65327C211yesmaximal, characteristic, complemented
5C2×#65287C211yesmaximal, characteristic, complemented
6#10613119C2116yesmaximal, direct product factor
7C2×#65180C211yesmaximal, characteristic, complemented
8C2×D5×#107C211yesmaximal, characteristic, complemented
9C2×#65152C211yesmaximal, characteristic, complemented
10C2×#65147C211yesmaximal, characteristic, complemented
11C2×#65066C211yesmaximal, characteristic, complemented
12C2×#65064C211yesmaximal, characteristic, complemented
13C2×#65055C211yesmaximal, characteristic, complemented
14C2×#65045C211yesmaximal, characteristic, complemented
15C2×#65014C211yesmaximal, characteristic, complemented
16C2×#65026C211yesmaximal, characteristic, complemented
17C2×C5×#121C2211yescharacteristic
18C2×C5×#117C2211yescharacteristic
19C2×#4084—21no—
20C2×#4084C2211yescharacteristic
21C2×#4081—21no—
22C2×D4×Dic5C2211yescharacteristic
23C22×#686C2211yescharacteristic
24C2×#4076C2211yescharacteristic
25C2×C4×C22⋊D5C2211yescharacteristic
26C2×#4072C2211yescharacteristic
27C23×#168C2211yescharacteristic
28C22×C8×D5C2211yescharacteristic
29#65948—24no—
30#65948C2218yescomplemented
31#65864—24no—
32#65864C2218yescomplemented
33C2×#4041C2211yescharacteristic
34C2×#4039C2211yescharacteristic
35C2×D5×C4⋊C4C2211yescharacteristic
36C2×D5×C4⋊C4C2211yescharacteristic
37C2×#4036C2211yescharacteristic
38C2×#4036C2211yescharacteristic
39C2×#4030—21no—
40C2×#4029—21no—
41C2×#4027—21no—
42C2×#4025—21no—
43C2×#4022—21no—
44C2×C4×D20—21no—
45C5×#482C2218yescomplemented
46C2×C5×#107C2211yescharacteristic
47C2×C5×#106C2211yescharacteristic
48C2×C5×#102C2211yescharacteristic
49C2×C5×#102C2211yescharacteristic
50C2×C5×C22⋊C8C2211yescharacteristic
51C2×#3964C2211yescharacteristic
52C2×#3953C2211yescharacteristic
53C2×#3953C2211yescharacteristic
54C2×#3952C2211yescharacteristic
55C2×#3950C2211yescharacteristic
56C2×#3949C2211yescharacteristic
57C2×#3946C2211yescharacteristic
58C2×C8×Dic5C2211yescharacteristic
59#65327C2218yescomplemented
60#65287C2218yescomplemented
61C2×#3941C2211yescharacteristic
62C2×#3940C2211yescharacteristic
63C2×#3940C2211yescharacteristic
64C2×#3939C2211yescharacteristic
65C2×#3939C2211yescharacteristic
66C2×#3939C2211yescharacteristic
67#65180C2218yescomplemented
68D5×#107C2218yescomplemented
69#65152C2218yescomplemented
70#65147C2218yescomplemented
71#65066C2218yescomplemented
72#65064C2218yescomplemented
73#65055C2218yescomplemented
74#65045C2218yescomplemented
75#65026C2218yescomplemented
76#65014C2218yescomplemented
77C2×#3339—51nomaximal, Sylow
78C22×C5×D4—21no—
79C22×C5×D4C2311yescharacteristic
80C23×C4×C5C2311yescharacteristic
81C22×C22⋊D5—21no—
82C22×C22⋊D5—21no—
83C22×C22⋊D5D411yescharacteristic
84C23×Dic5—21no—
85C22×D20—21no—
86C22×D20C2311yescharacteristic
87C22×C4×D5—21no—
88C22×C4×D5—21no—
89C22×C4×D5—21no—
90C22×C4×D5C2311yescharacteristic
91C22×C5×C8C2311yescharacteristic
92C22×C5×C8C2311yescharacteristic
93C5×#121—22no—
94C5×#121C2314yes—
95C5×#117—22no—
96C5×#117C2314yes—
97C2×C5×C4⋊C4C2311yescharacteristic
98C2×C5×C4⋊C4C2311yescharacteristic
99C2×C5×C4⋊C4C2311yescharacteristic
100C2×C5×C22⋊C4—21no—
101C2×C5×C22⋊C4—21no—
102C2×C42×C5—21no—
103C2×C22⋊Dic5—21no—
104C2×C22⋊Dic5—21no—
105C2×C22⋊Dic5—21no—
106C2×C22⋊Dic5D411yescharacteristic
107#4084—28no—
108#4084—22no—
109#4084C2314yes—
110#4081—28no—
111D4×Dic5—22no—
112D4×Dic5C2314yes—
113C2×#686—24no—
114C2×#686C2314yes—
115#4076—22no—
116#4076C2314yes—
117C4×C22⋊D5D414yes—
118C4×C22⋊D5C2314yes—
119C2×#685—21no—
120C2×#685—21no—
121C2×#685—21no—
122C2×#685D411yescharacteristic
123#4072—22no—
124#4072C2314yes—
125C2×C4⋊Dic5—21no—
126C2×C4⋊Dic5—21no—
127C2×C4⋊Dic5C2311yescharacteristic
128C2×C4⋊Dic5C2311yescharacteristic
129C2×C4⋊Dic5C2311yescharacteristic
130C2×#683—21no—
131C2×#683—21no—
132C2×#683—21no—
133C2×#683—21no—
134C2×#683D411yescharacteristic
135C2×C4×Dic5—21no—
136C2×C4×Dic5C2311yescharacteristic
137C22×#168—24no—
138C22×#168C2314yes—
139C22×#168C2311yescharacteristic
140C22×#168C2311yescharacteristic
141C2×C8×D5—24no—
142C2×C8×D5C2314yes—
143#4041—22no—
144#4041C2314yes—
145#4039—22no—
146#4039C2314yes—
147D5×C4⋊C4—22no—
148D5×C4⋊C4—22no—
149D5×C4⋊C4C2314yes—
150D5×C4⋊C4C2314yes—
151#4036—22no—
152#4036—22no—
153#4036C2314yes—
154#4036C2314yes—
155#4030—28no—
156#4029—28no—
157#4027—28no—
158#4025—28no—
159#4022—28no—
160C4×D20—28no—
161C5×#107C2314yes—
162C5×#106C2314yes—
163C5×#102C2314yes—
164C5×#102C2314yes—
165C5×C22⋊C8C2314yes—
166#3964C2314yes—
167#3953C2314yes—
168#3953C2314yes—
169#3952C2314yes—
170#3950C2314yes—
171#3949C2314yes—
172#3946C2314yes—
173C8×Dic5C2314yes—
174#3941C2314yes—
175#3940C2314yes—
176#3940C2314yes—
177#3939C2314yes—
178#3939C2314yes—
179#3939C2314yes—
180C2×#553—51no—
181C2×#553—51no—
182#3339—516no—
183C2×#499—51no—
184C2×#481—51no—
185C2×#481—51no—
186C2×#482—51no—
187C2×#482D511yescharacteristic, complemented
188C2×#478—51no—
189C2×#478—51no—
190C2×#466—51no—
191C2×#466—51no—
192C2×C4×D8—51no—
193C2×C8×D4—51no—
194C2×#427—51no—
195C22×#107—51no—
196C24×C5—21no—
197C24×C5C2×D411yescharacteristic
198C23×D5—21no—
199C23×D5C2×D411yescharacteristic
200C2×C5×D4—24no—
201C2×C5×D4—21no—
202C2×C5×D4—22no—
203C2×C5×D4—22no—
204C2×C5×D4—82no—
205C2×C5×D4C2412yes—
206C22×C4×C5—22no—
207C22×C4×C5—22no—
208C22×C4×C5—21no—
209C22×C4×C5—21no—
210C22×C4×C5—21no—
211C22×C4×C5C2×D411yescharacteristic
212C22×C4×C5C2×D412yes—
213C22×C4×C5C2412yes—
214C22×C4×C5C2411yescharacteristic
215C2×C22⋊D5—24no—
216C2×C22⋊D5—24no—
217C2×C22⋊D5—24no—
218C2×C22⋊D5—44no—
219C2×C22⋊D5—82no—
220C2×C22⋊D5C2×D414yes—
221C22×Dic5—21no—
222C22×Dic5—21no—
223C22×Dic5—21no—
224C22×Dic5—24no—
225C22×Dic5—82no—
226C22×Dic5C2×D411yescharacteristic
227C22×Dic5C2×D411yescharacteristic
228C22×Dic5C2×D411yescharacteristic
229C2×D20—22no—
230C2×D20—22no—
231C2×D20—24no—
232C2×D20—21no—
233C2×D20—44no—
234C2×D20C2412yes—
235C2×C4×D5—22no—
236C2×C4×D5—22no—
237C2×C4×D5—24no—
238C2×C4×D5—24no—
239C2×C4×D5—24no—
240C2×C4×D5—82no—
241C2×C4×D5—82no—
242C2×C4×D5—82no—
243C2×C4×D5C2×D412yes—
244C2×C4×D5C2412yes—
245C2×C5×C8—22no—
246C2×C5×C8—22no—
247C2×C5×C8C2412yes—
248C2×C5×C8C2412yes—
249C5×C4⋊C4—21no—
250C5×C4⋊C4—21no—
251C5×C4⋊C4—21no—
252C5×C4⋊C4C2412yes—
253C5×C4⋊C4C2412yes—
254C5×C4⋊C4C2412yes—
255C5×C22⋊C4—24no—
256C5×C22⋊C4—24no—
257C42×C5—24no—
258C22⋊Dic5—24no—
259C22⋊Dic5—24no—
260C22⋊Dic5—24no—
261C22⋊Dic5C2×D414yes—
262#686—28no—
263#685—24no—
264#685—24no—
265#685—24no—
266#685C2×D414yes—
267C4⋊Dic5—21no—
268C4⋊Dic5—21no—
269C4⋊Dic5—21no—
270C4⋊Dic5—24no—
271C4⋊Dic5—24no—
272C4⋊Dic5C2412yes—
273C4⋊Dic5C2412yes—
274C4⋊Dic5C2412yes—
275#683—24no—
276#683—24no—
277#683—24no—
278#683—24no—
279#683C2×D414yes—
280C4×Dic5—24no—
281C4×Dic5C2×D412yes—
282C4×Dic5C2412yes—
283C2×#168—22no—
284C2×#168—28no—
285C2×#168#4114yes—
286C2×#168C2412yes—
287C2×#168C2412yes—
288C8×D5—28no—
289C22×D8—51no—
290C23×C8—51no—
291C23×C8—51no—
292#553—58no—
293#553—58no—
294#553—104no—
295#553—104no—
296C2×#126—101no—
297C2×#126—101no—
298C2×#125—51no—
299C2×#125—51no—
300C2×#123—101no—
301C2×#123—101no—
302C2×#121—51no—
303C2×#121—51no—
304C2×#121—51no—
305C2×#121—101no—
306C2×#121—101no—
307C2×#121C2×D511yescharacteristic
308C2×C4×D4—51no—
309C2×C4×D4—51no—
310C2×C4×D4—51no—
311C2×C4×D4—101no—
312C2×C4×D4—101no—
313C2×#117—51no—
314C2×#117C2×D511yescharacteristic
315C22×C4⋊C4—51no—
316C22×C4⋊C4—51no—
317#499—58no—
318#482—58no—
319#482C2×D518yescomplemented
320#481—58no—
321#481—58no—
322#478—58no—
323#478—58no—
324#466—58no—
325#466—58no—
326C4×D8—58no—
327C8×D4—58no—
328#427—58no—
329C2×#107—51no—
330C2×#107—51no—
331C2×#107—51no—
332C2×#107—51no—
333C2×#107—58no—
334C2×#107C2×D511yescharacteristic
335C2×#106—51no—
336C2×#106—51no—
337C2×#106—51no—
338C2×#106C2×D511yescharacteristic
339C2×C4⋊C8—51no—
340C2×#102—51no—
341C2×#102—51no—
342C2×#102—51no—
343C2×#102—51no—
344C2×#102C2×D511yescharacteristic
345C2×#102C2×D511yescharacteristic
346C2×C22⋊C8—51no—
347C2×C22⋊C8C2×D511yescharacteristic
348C2×C4×C8—51no—
349C23×C5—22no—
350C23×C5—22no—
351C23×C5—22no—
352C23×C5—22no—
353C23×C5—42no—
354C23×C5—42no—
355C23×C5—42no—
356C23×C5C22×D412yes—
357C23×C5C22×D411yescharacteristic
358C22×D5—22no—
359C22×D5—22no—
360C22×D5—22no—
361C22×D5—42no—
362C22×D5—42no—
363C22×D5—42no—
364C22×D5#13514yes—
365C22×D5C22×D412yes—
366C5×D4—22no—
367C5×D4—22no—
368C5×D4—42no—
369C5×D4—84no—
370C2×C4×C5—22no—
371C2×C4×C5—24no—
372C2×C4×C5—22no—
373C2×C4×C5—22no—
374C2×C4×C5—22no—
375C2×C4×C5—22no—
376C2×C4×C5—22no—
377C2×C4×C5—42no—
378C2×C4×C5—42no—
379C2×C4×C5—42no—
380C2×C4×C5C22×D412yes—
381C2×C4×C5C22×D411yescharacteristic
382C2×C4×C5C2×#4112yes—
383C2×C4×C52−1+412yes—
384C2×C4×C5C2511yescharacteristic
385C22⋊D5—28no—
386C22⋊D5—48no—
387C22⋊D5—84no—
388C2×Dic5—22no—
389C2×Dic5—22no—
390C2×Dic5—22no—
391C2×Dic5—22no—
392C2×Dic5—22no—
393C2×Dic5—22no—
394C2×Dic5—42no—
395C2×Dic5—42no—
396C2×Dic5—42no—
397C2×Dic5—84no—
398C2×Dic5C22×D412yes—
399C2×Dic5C22×D412yes—
400C2×Dic5C22×D412yes—
401D20—22no—
402D20—22no—
403D20—48no—
404D20—42no—
405C4×D5—24no—
406C4×D5—22no—
407C4×D5—22no—
408C4×D5—84no—
409C4×D5—84no—
410C4×D5—84no—
411C5×C8—22no—
412C5×C8—22no—
413#168—22no—
414#168C2×#4114yes—
415C22×D4—21no—
416C22×D4—51no—
417C22×D4—51no—
418C22×D4—101no—
419C22×D4—101no—
420C22×D4—101no—
421C22×D4C22×D511yescharacteristic
422C23×C4—51no—
423C23×C4—101no—
424C23×C4—101no—
425C23×C4—101no—
426C23×C4—101no—
427C23×C4C22×D511yescharacteristic
428C2×D8—54no—
429C2×D8—104no—
430C22×C8—51no—
431C22×C8—51no—
432C22×C8—54no—
433C22×C8—54no—
434C22×C8—104no—
435C22×C8—104no—
436C22×C8C22×D511yescharacteristic
437C22×C8C22×D511yescharacteristic
438#126—108no—
439#126—108no—
440#125—54no—
441#125—54no—
442#125—102no—
443#125—102no—
444#123—108no—
445#123—108no—
446#121—22no—
447#121—54no—
448#121—54no—
449#121—54no—
450#121—108no—
451#121—102no—
452#121—102no—
453#121—108no—
454#121—102no—
455#121C22×D514yes—
456C4×D4—54no—
457C4×D4—54no—
458C4×D4—54no—
459C4×D4—54no—
460C4×D4—108no—
461C4×D4—102no—
462C4×D4—102no—
463C4×D4—108no—
464#117—22no—
465#117—54no—
466#117—102no—
467#117C22×D514yes—
468C2×C4⋊C4—51no—
469C2×C4⋊C4—51no—
470C2×C4⋊C4—51no—
471C2×C4⋊C4—51no—
472C2×C4⋊C4—54no—
473C2×C4⋊C4—54no—
474C2×C4⋊C4—102no—
475C2×C4⋊C4—102no—
476C2×C4⋊C4—101no—
477C2×C4⋊C4—101no—
478C2×C4⋊C4—101no—
479C2×C4⋊C4—101no—
480C2×C4⋊C4—101no—
481C2×C4⋊C4—101no—
482C2×C4⋊C4C22×D511yescharacteristic
483C2×C4⋊C4C22×D511yescharacteristic
484C2×C4⋊C4C22×D511yescharacteristic
485C2×C22⋊C4—21no—
486C2×C22⋊C4—21no—
487C2×C22⋊C4—51no—
488C2×C22⋊C4—51no—
489C2×C22⋊C4—101no—
490C2×C22⋊C4—101no—
491C2×C22⋊C4—101no—
492C2×C22⋊C4—101no—
493C2×C22⋊C4—101no—
494C2×C22⋊C4—101no—
495C2×C42—21no—
496C2×C42—51no—
497C2×C42—101no—
498#107—54no—
499#107—54no—
500#107—54no—
501#107—54no—
502#107C22×D514yes—
503#106—54no—
504#106—54no—
505#106—54no—
506#106C22×D514yes—
507C4⋊C8—54no—
508#102—54no—
509#102—54no—
510#102—54no—
511#102—54no—
512#102C22×D514yes—
513#102C22×D514yes—
514C22⋊C8—54no—
515C22⋊C8C22×D514yes—
516C4×C8—54no—
517C22×C5—22no—
518C22×C5—22no—
519C22×C5—22no—
520C22×C5—44no—
521C22×C5—42no—
522C22×C5—42no—
523C22×C5—42no—
524C22×C5—84no—
525C22×C5#54712yes—
526C22×C5C2×#13512yes—
527C22×C5#57612yes—
528C22×C5C23×D411yescharacteristic
529C2×D5—28no—
530C2×D5—22no—
531C2×D5—22no—
532C2×D5—42no—
533C2×D5—42no—
534C2×D5—42no—
535C2×D5—84no—
536C2×D5C2×#13514yes—
537C4×C5—22no—
538C4×C5—42no—
539C4×C5—42no—
540C4×C5—42no—
541C4×C5#54712yes—
542C4×C5C22×#4111yescharacteristic
543C4×C5C2×2−1+411yescharacteristic
544Dic5—22no—
545Dic5—22no—
546Dic5—22no—
547Dic5—42no—
548Dic5—42no—
549Dic5—42no—
550C24—21no—
551C24—51no—
552C24—101no—
553C24D4×D511yescharacteristic
554C2×D4—24no—
555C2×D4—21no—
556C2×D4—22no—
557C2×D4—22no—
558C2×D4—54no—
559C2×D4—52no—
560C2×D4—82no—
561C2×D4—104no—
562C2×D4—104no—
563C2×D4—104no—
564C2×D4—104no—
565C2×D4—101no—
566C2×D4—102no—
567C2×D4—102no—
568C2×D4—204no—
569C2×D4—204no—
570C2×D4—402no—
571C2×D4C23×D512yes—
572C22×C4—22no—
573C22×C4—22no—
574C22×C4—21no—
575C22×C4—21no—
576C22×C4—21no—
577C22×C4—51no—
578C22×C4—51no—
579C22×C4—51no—
580C22×C4—52no—
581C22×C4—52no—
582C22×C4—104no—
583C22×C4—104no—
584C22×C4—104no—
585C22×C4—104no—
586C22×C4—102no—
587C22×C4—102no—
588C22×C4—101no—
589C22×C4—101no—
590C22×C4—101no—
591C22×C4—402no—
592C22×C4—402no—
593C22×C4—402no—
594C22×C4—402no—
595C22×C4D4×D512yes—
596C22×C4D4×D511yescharacteristic
597C22×C4C23×D512yes—
598C22×C4C23×D511yescharacteristic
599D8—108no—
600C2×C8—22no—
601C2×C8—22no—
602C2×C8—54no—
603C2×C8—52no—
604C2×C8—52no—
605C2×C8—108no—
606C2×C8—108no—
607C2×C8—102no—
608C2×C8C23×D512yes—
609C2×C8C23×D512yes—
610C4⋊C4—21no—
611C4⋊C4—21no—
612C4⋊C4—21no—
613C4⋊C4—54no—
614C4⋊C4—52no—
615C4⋊C4—52no—
616C4⋊C4—52no—
617C4⋊C4—104no—
618C4⋊C4—104no—
619C4⋊C4—104no—
620C4⋊C4—104no—
621C4⋊C4—104no—
622C4⋊C4—104no—
623C4⋊C4—101no—
624C4⋊C4—101no—
625C4⋊C4—101no—
626C4⋊C4C23×D512yes—
627C4⋊C4C23×D512yes—
628C4⋊C4C23×D512yes—
629C22⋊C4—24no—
630C22⋊C4—24no—
631C22⋊C4—54no—
632C22⋊C4—54no—
633C22⋊C4—104no—
634C22⋊C4—104no—
635C22⋊C4—104no—
636C22⋊C4—104no—
637C22⋊C4—104no—
638C22⋊C4—104no—
639C42—24no—
640C42—52no—
641C42—52no—
642C42—104no—
643C2×C5—42no—
644C2×C5—82no—
645C2×C5#333914yescomplemented
646C2×C5C2×#54711yescharacteristic
647C2×C5C22×#13511yescharacteristic
648C2×C5C2×#57611yescharacteristic
649D5—24no—
650D5—82no—
651C23—22no—
652C23—22no—
653C23—22no—
654C23—22no—
655C23—42no—
656C23—42no—
657C23—42no—
658C23—54no—
659C23—52no—
660C23—102no—
661C23—102no—
662C23—102no—
663C23—202no—
664C23—202no—
665C23—202no—
666C23C2×D4×D512yes—
667C23C2×D4×D511yescharacteristic
668D4—22no—
669D4—22no—
670D4—42no—
671D4—84no—
672D4—108no—
673D4—102no—
674D4—102no—
675D4—208no—
676D4—208no—
677D4—202no—
678D4—404no—
679C2×C4—22no—
680C2×C4—24no—
681C2×C4—22no—
682C2×C4—22no—
683C2×C4—22no—
684C2×C4—22no—
685C2×C4—22no—
686C2×C4—42no—
687C2×C4—42no—
688C2×C4—42no—
689C2×C4—52no—
690C2×C4—52no—
691C2×C4—52no—
692C2×C4—102no—
693C2×C4—102no—
694C2×C4—102no—
695C2×C4—104no—
696C2×C4—102no—
697C2×C4—102no—
698C2×C4—102no—
699C2×C4—102no—
700C2×C4—102no—
701C2×C4—202no—
702C2×C4—202no—
703C2×C4—202no—
704C2×C4—404no—
705C2×C4—404no—
706C2×C4—404no—
707C2×C4—404no—
708C2×C4C2×D4×D512yes—
709C2×C4C2×D4×D511yescharacteristic
710C2×C4D5×#4112yes—
711C2×C4#415012yes—
712C2×C4C24×D511yescharacteristic
713C8—22no—
714C8—22no—
715C8—54no—
716C8—102no—
717C5C2×#333911yescharacteristic, complemented, Sylow
718C22—22no—
719C22—22no—
720C22—22no—
721C22—44no—
722C22—42no—
723C22—42no—
724C22—42no—
725C22—54no—
726C22—84no—
727C22—102no—
728C22—108no—
729C22—102no—
730C22—202no—
731C22—202no—
732C22—202no—
733C22—404no—
734C22#6598912yes—
735C22D5×#13512yes—
736C22#6610812yes—
737C22C22×D4×D511yescharacteristic
738C4—22no—
739C4—42no—
740C4—42no—
741C4—42no—
742C4—102no—
743C4—102no—
744C4—102no—
745C4—202no—
746C4—202no—
747C4—202no—
748C4#6598912yes—
749C4C2×D5×#4111yescharacteristic
750C4C2×#415011yescharacteristic
751C2—42no—
752C2—82no—
753C2—104no—
754C2—402no—
755C2#1061311914yesdirect product factor
756C2C2×#6598911yescharacteristic
757C2C2×D5×#13511yescharacteristic
758C2C2×#6610811yescharacteristic
subgroupG/H
centerC23C2×D4×D5
commutator, cosocleC2×C4×C5C25
FrattiniC2×C4C24×D5
FittingC2×C5×#482C2
socleC23×C5C22×D4
hypercenterC2×#482D5
hypocenterC5C2×#3339
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
1. C2×#65948C2semidirect
2. C2×#65864C2semidirect
3. C2×C5×#482C2semidirect
4. C2×#65327C2semidirect
5. C2×#65287C2semidirect
6. #10613119C2direct (N × H)
7. C2×#65180C2semidirect
8. C2×D5×#107C2semidirect
9. C2×#65152C2semidirect
10. C2×#65147C2semidirect
11. C2×#65066C2semidirect
12. C2×#65064C2semidirect
13. C2×#65055C2semidirect
14. C2×#65045C2semidirect
15. C2×#65014C2semidirect
16. C2×#65026C2semidirect
30. #65948C22semidirect
32. #65864C22semidirect
45. C5×#482C22semidirect
59. #65327C22semidirect
60. #65287C22semidirect
67. #65180C22semidirect
68. D5×#107C22semidirect
69. #65152C22semidirect
70. #65147C22semidirect
71. #65066C22semidirect
72. #65064C22semidirect
73. #65055C22semidirect
74. #65045C22semidirect
75. #65026C22semidirect
76. #65014C22semidirect
187. C2×#482D5semidirect
319. #482C2×D5semidirect
645. C2×C5#3339semidirect
717. C5C2×#3339semidirect
755. C2#10613119direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#659482
C2×#658642
C2×C5×#4822
C2×#653272
C2×#652872
#106131192
C2×#651802
C2×D5×#1072
C2×#651522
C2×#651472
C2×#650662
C2×#650642
C2×#650552
C2×#650452
C2×#650142
C2×#650262
C2×#33395