Finite Group Databasebeta

← C2×#13078453 #15621339

Subgroups — C2×#13078453 #15621339

Order 2816.

2018 conjugacy classes of subgroups.

The subgroup lattice has 704 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623260C211yesmaximal, characteristic
2C2×#10623103C211yesmaximal, characteristic
3#13078453C2116yesmaximal, direct product factor
4C2×#10622409C211yesmaximal, characteristic, complemented
5C2×#10622442C211yesmaximal, characteristic, complemented
6C2×#10622635C211yesmaximal, characteristic, complemented
7C2×#10622490C211yesmaximal, characteristic, complemented
8C2×#10622488C211yesmaximal, characteristic, complemented
9C2×#10622404C211yesmaximal, characteristic, complemented
10C2×#10622707C211yesmaximal, characteristic, complemented
11C2×#10622494C211yesmaximal, characteristic
12C2×#10622493C211yesmaximal, characteristic
13C2×#10622452C211yesmaximal, characteristic
14C2×#10622415C211yesmaximal, characteristic
15C2×D11×#103C211yesmaximal, characteristic
16C2×C11×#477C211yesmaximal, characteristic, complemented
17C22×Q8×D11C2211yescharacteristic
18C2×C11×C4⋊Q8C2211yescharacteristic
19C2×C4×Q8×C11C2211yescharacteristic
20C2×#66999—21no—
21C2×Q8×Dic11C2211yescharacteristic
22C2×#66997—21no—
23C22×#4313C2211yescharacteristic
24C22×C8×D11C2211yescharacteristic
25#10623260—24no—
26#10623260C2218yes—
27#10623103—24no—
28#10623103C2218yes—
29C2×#66949—21no—
30C2×#66945—21no—
31C2×#66945C2211yescharacteristic
32C2×#66945C2211yescharacteristic
33C2×C4⋊C4×D11C2211yescharacteristic
34C2×#66943C2211yescharacteristic
35C2×#66942—21no—
36C2×#66941C2211yescharacteristic
37C2×#66940—21no—
38C2×#66940C2211yescharacteristic
39C2×#66925—21no—
40C2×#66925C2211yescharacteristic
41C2×#66923C2211yescharacteristic
42C2×C4×Dic22—21no—
43C2×C4×Dic22C2211yescharacteristic
44C11×#477C2218yescomplemented
45C2×C11×#107C2211yescharacteristic
46C2×C11×#107C2211yescharacteristic
47C2×C11×C4⋊C8C2211yescharacteristic
48C2×C11×#103C2211yescharacteristic
49C2×C11×#103C2211yescharacteristic
50C2×#66899C2211yescharacteristic
51C2×#66899C2211yescharacteristic
52C2×#66882C2211yescharacteristic
53C2×#66881C2211yescharacteristic
54C2×#66880C2211yescharacteristic
55C2×#66880C2211yescharacteristic
56C2×Dic11⋊C8C2211yescharacteristic
57C2×Dic11⋊C8C2211yescharacteristic
58#10622707C2218yescomplemented
59#10622635C2218yescomplemented
60C2×#66874C2211yescharacteristic
61C2×#66874C2211yescharacteristic
62C2×#66872C2211yescharacteristic
63C2×#66872C2211yescharacteristic
64C2×#66872C2211yescharacteristic
65C2×#66871C2211yescharacteristic
66C2×C4⋊(C11⋊C8)C2211yescharacteristic
67#10622494C2218yes—
68#10622493C2218yes—
69#10622490C2218yescomplemented
70#10622488C2218yescomplemented
71#10622452C2218yes—
72#10622442C2218yescomplemented
73#10622415C2218yes—
74D11×#103C2218yes—
75#10622409C2218yescomplemented
76#10622404C2218yescomplemented
77C22×Q8×C11—21no—
78C22×Q8×C11C2311yescharacteristic
79C2×Q8×D11—22no—
80C2×Q8×D11—24no—
81C2×Q8×D11Q818yescomplemented
82C2×Q8×D11C2314yes—
83C22×C4×D11—21no—
84C22×C4×D11—21no—
85C22×C4×D11C2311yescharacteristic
86C22×Dic22—21no—
87C22×Dic22—21no—
88C22×Dic22C2311yescharacteristic
89C22×C8×C11C2311yescharacteristic
90C22×C8×C11C2311yescharacteristic
91C11×C4⋊Q8—22no—
92C11×C4⋊Q8C2314yes—
93C4×Q8×C11—22no—
94C4×Q8×C11C2314yes—
95C2×C11×C4⋊C4—21no—
96C2×C11×C4⋊C4—21no—
97C2×C11×C4⋊C4C2311yescharacteristic
98C2×C11×C4⋊C4C2311yescharacteristic
99C2×C11×C4⋊C4C2311yescharacteristic
100C2×C42×C11—21no—
101C2×C42×C11C2311yescharacteristic
102#66999—28no—
103Q8×Dic11—22no—
104Q8×Dic11C2314yes—
105#66997—28no—
106C2×(C2×D11)⋊C4—21no—
107C2×(C2×D11)⋊C4—21no—
108C2×(C2×D11)⋊C4D411yescharacteristic
109C2×(C2×D11)⋊C4D411yescharacteristic
110C2×C4⋊Dic11—21no—
111C2×C4⋊Dic11—21no—
112C2×C4⋊Dic11C2311yescharacteristic
113C2×C4⋊Dic11C2311yescharacteristic
114C2×C4⋊Dic11C2311yescharacteristic
115C2×Dic11⋊C4—21no—
116C2×Dic11⋊C4—21no—
117C2×Dic11⋊C4—21no—
118C2×Dic11⋊C4—21no—
119C2×Dic11⋊C4—21no—
120C2×Dic11⋊C4—21no—
121C2×Dic11⋊C4—21no—
122C2×Dic11⋊C4D411yescharacteristic
123C2×Dic11⋊C4D411yescharacteristic
124C2×C4×Dic11—21no—
125C2×C4×Dic11—21no—
126C2×C4×Dic11—21no—
127C2×C4×Dic11—21no—
128C2×C4×Dic11—21no—
129C2×C4×Dic11C2311yescharacteristic
130C22×C11⋊C8C2311yescharacteristic
131C22×C11⋊C8C2311yescharacteristic
132C2×#4313—24no—
133C2×#4313C2314yes—
134C2×C8×D11—24no—
135C2×C8×D11C2314yes—
136#66949—28no—
137#66945—22no—
138#66945—22no—
139#66945—28no—
140#66945C2314yes—
141#66945C2314yes—
142C4⋊C4×D11—22no—
143C4⋊C4×D11C2314yes—
144#66943—22no—
145#66943C2314yes—
146#66942—28no—
147#66941—22no—
148#66941C2314yes—
149#66940—28no—
150#66940—22no—
151#66940C2314yes—
152#66925—28no—
153#66925D414yes—
154#66925C2314yes—
155#66923—22no—
156#66923C2314yes—
157C4×Dic22—22no—
158C4×Dic22—28no—
159C4×Dic22C2314yes—
160C11×#107C2314yes—
161C11×#107C2314yes—
162C11×C4⋊C8C2314yes—
163C11×#103C2314yes—
164C11×#103C2314yes—
165#66899C2314yes—
166#66899C2314yes—
167#66882C2314yes—
168#66881C2314yes—
169#66880C2314yes—
170#66880C2314yes—
171Dic11⋊C8C2314yes—
172Dic11⋊C8C2314yes—
173#66874C2314yes—
174#66874C2314yes—
175#66872C2314yes—
176#66872C2314yes—
177#66872C2314yes—
178#66871C2314yes—
179C4⋊(C11⋊C8)C2314yes—
180C2×#3082—111nomaximal, Sylow
181C23×D11C2×D411yescharacteristic
182C2×Q8×C11—21no—
183C2×Q8×C11—24no—
184C2×Q8×C11—22no—
185C2×Q8×C11—82no—
186C2×Q8×C11C2×Q814yes—
187C2×Q8×C11C2412yes—
188C22×C4×C11—21no—
189C22×C4×C11—21no—
190C22×C4×C11—21no—
191C22×C4×C11—21no—
192C22×C4×C11C2×D411yescharacteristic
193C22×C4×C11C2×D411yescharacteristic
194C22×C4×C11C2411yescharacteristic
195C22×Dic11—21no—
196C22×Dic11—21no—
197C22×Dic11—21no—
198C22×Dic11—21no—
199C22×Dic11C2×D411yescharacteristic
200C22×Dic11C2×D411yescharacteristic
201C22×Dic11C2×D411yescharacteristic
202Q8×D11—216no—
203Q8×D11—28no—
204Q8×D11C2×Q8116yescomplemented
205C2×C4×D11—28no—
206C2×C4×D11—24no—
207C2×C4×D11—24no—
208C2×C4×D11—82no—
209C2×C4×D11C2×D412yes—
210C2×C4×D11C2×Q814yes—
211C2×C4×D11#4114yes—
212C2×C4×D11C2412yes—
213C2×Dic22—28no—
214C2×Dic22—24no—
215C2×Dic22—24no—
216C2×Dic22—21no—
217C2×Dic22—22no—
218C2×Dic22—82no—
219C2×Dic22C2×Q814yes—
220C2×Dic22C2412yes—
221C2×C8×C11—22no—
222C2×C8×C11—22no—
223C2×C8×C11C2412yes—
224C2×C8×C11C2412yes—
225C11×C4⋊C4—24no—
226C11×C4⋊C4—21no—
227C11×C4⋊C4—21no—
228C11×C4⋊C4—24no—
229C11×C4⋊C4—21no—
230C11×C4⋊C4C2412yes—
231C11×C4⋊C4C2412yes—
232C11×C4⋊C4C2412yes—
233C42×C11—24no—
234C42×C11C2×D412yes—
235C42×C11C2412yes—
236(C2×D11)⋊C4—24no—
237(C2×D11)⋊C4—24no—
238(C2×D11)⋊C4C2×D414yes—
239(C2×D11)⋊C4C2×D414yes—
240C4⋊Dic11—24no—
241C4⋊Dic11—24no—
242C4⋊Dic11—21no—
243C4⋊Dic11—21no—
244C4⋊Dic11—21no—
245C4⋊Dic11C2412yes—
246C4⋊Dic11C2412yes—
247C4⋊Dic11C2412yes—
248Dic11⋊C4—24no—
249Dic11⋊C4—24no—
250Dic11⋊C4—24no—
251Dic11⋊C4—24no—
252Dic11⋊C4—24no—
253Dic11⋊C4—24no—
254Dic11⋊C4—24no—
255Dic11⋊C4C2×D414yes—
256Dic11⋊C4C2×D414yes—
257C4×Dic11—24no—
258C4×Dic11—24no—
259C4×Dic11—24no—
260C4×Dic11—24no—
261C4×Dic11—24no—
262C4×Dic11C2×D412yes—
263C4×Dic11C2412yes—
264C2×C11⋊C8—22no—
265C2×C11⋊C8—22no—
266C2×C11⋊C8C2412yes—
267C2×C11⋊C8C2412yes—
268#4313—28no—
269C8×D11—28no—
270C2×#544—111no—
271C2×#519—111no—
272#3082—1116no—
273C2×#479—111no—
274C2×#479—111no—
275C2×#479—111no—
276C2×#479—111no—
277C2×#477—111no—
278C2×#477D1111yescharacteristic, complemented
279C2×#475—111no—
280C2×#475—111no—
281C2×#428—111no—
282C2×#427—111no—
283C2×#424—111no—
284C2×#419—111no—
285C22×#103—111no—
286C23×C11C22×D411yescharacteristic
287C22×D11—22no—
288C22×D11—22no—
289C22×D11C22⋊Q814yes—
290C22×D11C22×D412yes—
291Q8×C11—24no—
292Q8×C11—22no—
293Q8×C11—84no—
294Q8×C11C22×Q814yes—
295C2×C4×C11—24no—
296C2×C4×C11—22no—
297C2×C4×C11—22no—
298C2×C4×C11—22no—
299C2×C4×C11—22no—
300C2×C4×C11—22no—
301C2×C4×C11—22no—
302C2×C4×C11—42no—
303C2×C4×C11—42no—
304C2×C4×C11—42no—
305C2×C4×C11C22×D412yes—
306C2×C4×C11C22×D412yes—
307C2×C4×C11C22×D411yescharacteristic
308C2×C4×C11C22×Q812yes—
309C2×C4×C11C2×#4112yes—
310C2×C4×C11C2511yescharacteristic
311C2×Dic11—24no—
312C2×Dic11—22no—
313C2×Dic11—22no—
314C2×Dic11—22no—
315C2×Dic11—22no—
316C2×Dic11—22no—
317C2×Dic11—22no—
318C2×Dic11—42no—
319C2×Dic11—42no—
320C2×Dic11—42no—
321C2×Dic11C22⋊Q814yes—
322C2×Dic11C22×D412yes—
323C2×Dic11C22×D412yes—
324C2×Dic11C22×D412yes—
325C4×D11—216no—
326C4×D11—84no—
327C4×D11C22⋊Q818yes—
328C4×D11C22×Q814yes—
329C4×D11C2×#4114yes—
330Dic22—24no—
331Dic22—22no—
332Dic22—216no—
333Dic22—84no—
334Dic22C22×Q814yes—
335C8×C11—22no—
336C8×C11—22no—
337C11⋊C8—22no—
338C11⋊C8—22no—
339C23×Q8—111no—
340C22×M16—111no—
341C23×C8—111no—
342#544—118no—
343#544—224no—
344C2×C4⋊Q8—111no—
345C2×C4⋊Q8—221no—
346C2×C4⋊Q8C2×D1111yescharacteristic
347C2×#125—111no—
348C2×#125—111no—
349C2×#125—221no—
350C2×C22⋊Q8—221no—
351C2×C22⋊Q8—221no—
352#519—118no—
353#519—224no—
354C2×C4×Q8—111no—
355C2×C4×Q8—111no—
356C2×C4×Q8—111no—
357C2×C4×Q8—221no—
358C2×C4×Q8—221no—
359C2×C4×Q8C2×D1111yescharacteristic
360C2×#117—111no—
361C2×#117—111no—
362C2×#117—111no—
363C2×#117—221no—
364C2×#117—221no—
365C22×C4⋊C4—111no—
366#479—118no—
367#479—118no—
368#479—118no—
369#479—118no—
370#477—118no—
371#477C2×D1118yescomplemented
372#475—118no—
373#475—118no—
374#428—118no—
375#427—118no—
376C2×#107—111no—
377C2×#107—111no—
378C2×#107C2×D1111yescharacteristic
379C2×#107C2×D1111yescharacteristic
380C2×#106—111no—
381C2×#106—111no—
382C2×#106—111no—
383C2×#106—111no—
384#424—118no—
385C2×C4⋊C8—111no—
386C2×C4⋊C8—111no—
387C2×C4⋊C8—111no—
388C2×C4⋊C8C2×D1111yescharacteristic
389#419—118no—
390C2×#103—111no—
391C2×#103—111no—
392C2×#103—111no—
393C2×#103—111no—
394C2×#103—111no—
395C2×#103—111no—
396C2×#103—118no—
397C2×#103C2×D1111yescharacteristic
398C2×#103C2×D1111yescharacteristic
399C22×C11C2×C22⋊Q812yes—
400C22×C11#57712yes—
401C22×C11#57812yes—
402C22×C11C23×D411yescharacteristic
403C2×D11—28no—
404C2×D11—22no—
405C2×D11—22no—
406C2×D11C2×C22⋊Q814yes—
407C4×C11—24no—
408C4×C11—22no—
409C4×C11—22no—
410C4×C11—42no—
411C4×C11—42no—
412C4×C11—42no—
413C4×C11C2×C22⋊Q812yes—
414C4×C11C23×Q811yescharacteristic
415C4×C11C22×#4111yescharacteristic
416Dic11—24no—
417Dic11—22no—
418Dic11—22no—
419Dic11—42no—
420Dic11—42no—
421Dic11—42no—
422Dic11C2×C22⋊Q814yes—
423C22×Q8—21no—
424C22×Q8—118no—
425C22×Q8—114no—
426C22×Q8—111no—
427C22×Q8—221no—
428C22×Q8—221no—
429C22×Q8—222no—
430C22×Q8—224no—
431C22×Q8C22×D1111yescharacteristic
432C23×C4—111no—
433C23×C4—221no—
434C23×C4—221no—
435C2×M16—114no—
436C2×M16—224no—
437C22×C8—111no—
438C22×C8—111no—
439C22×C8—114no—
440C22×C8—224no—
441C22×C8C22×D1111yescharacteristic
442C22×C8C22×D1111yescharacteristic
443C4⋊Q8—22no—
444C4⋊Q8—114no—
445C4⋊Q8—222no—
446C4⋊Q8—228no—
447C4⋊Q8C22×D1114yes—
448#125—114no—
449#125—114no—
450#125—222no—
451#125—228no—
452#125—222no—
453C22⋊Q8—228no—
454C22⋊Q8—228no—
455C4×Q8—22no—
456C4×Q8—114no—
457C4×Q8—114no—
458C4×Q8—114no—
459C4×Q8—228no—
460C4×Q8—222no—
461C4×Q8—222no—
462C4×Q8—228no—
463C4×Q8—222no—
464C4×Q8C22×D1114yes—
465#117—114no—
466#117—114no—
467#117—114no—
468#117—114no—
469#117—228no—
470#117—228no—
471#117—222no—
472#117—222no—
473C2×C4⋊C4—21no—
474C2×C4⋊C4—21no—
475C2×C4⋊C4—111no—
476C2×C4⋊C4—111no—
477C2×C4⋊C4—111no—
478C2×C4⋊C4—111no—
479C2×C4⋊C4—111no—
480C2×C4⋊C4—114no—
481C2×C4⋊C4—222no—
482C2×C4⋊C4—221no—
483C2×C4⋊C4—221no—
484C2×C4⋊C4—221no—
485C2×C4⋊C4—221no—
486C2×C4⋊C4—221no—
487C2×C4⋊C4—221no—
488C2×C4⋊C4—221no—
489C2×C4⋊C4—221no—
490C2×C4⋊C4—221no—
491C2×C4⋊C4C22×D1111yescharacteristic
492C2×C4⋊C4C22×D1111yescharacteristic
493C2×C4⋊C4C22×D1111yescharacteristic
494C2×C22⋊C4—111no—
495C2×C22⋊C4—111no—
496C2×C22⋊C4—221no—
497C2×C22⋊C4—221no—
498C2×C42—21no—
499C2×C42—111no—
500C2×C42—221no—
501C2×C42—221no—
502C2×C42—221no—
503C2×C42—221no—
504C2×C42—221no—
505C2×C42C22×D1111yescharacteristic
506#107—114no—
507#107—114no—
508#107C22×D1114yes—
509#107C22×D1114yes—
510#106—114no—
511#106—114no—
512#106—114no—
513#106—114no—
514C4⋊C8—114no—
515C4⋊C8—114no—
516C4⋊C8—114no—
517C4⋊C8C22×D1114yes—
518#103—114no—
519#103—114no—
520#103—114no—
521#103—114no—
522#103—114no—
523#103—114no—
524#103C22×D1114yes—
525#103C22×D1114yes—
526C2×C11#308214yescomplemented
527C2×C11C22×C22⋊Q811yescharacteristic
528C2×C11C2×#57711yescharacteristic
529C2×C11C2×#57811yescharacteristic
530D11—24no—
531C24—111no—
532C2×Q8—21no—
533C2×Q8—24no—
534C2×Q8—22no—
535C2×Q8—82no—
536C2×Q8—1116no—
537C2×Q8—114no—
538C2×Q8—112no—
539C2×Q8—224no—
540C2×Q8—228no—
541C2×Q8—224no—
542C2×Q8—2216no—
543C2×Q8—228no—
544C2×Q8—221no—
545C2×Q8—222no—
546C2×Q8—882no—
547C2×Q8Q8×D1114yes—
548C2×Q8C23×D1112yes—
549C22×C4—21no—
550C22×C4—21no—
551C22×C4—21no—
552C22×C4—21no—
553C22×C4—111no—
554C22×C4—112no—
555C22×C4—114no—
556C22×C4—114no—
557C22×C4—112no—
558C22×C4—111no—
559C22×C4—111no—
560C22×C4—224no—
561C22×C4—228no—
562C22×C4—224no—
563C22×C4—221no—
564C22×C4—221no—
565C22×C4—221no—
566C22×C4—221no—
567C22×C4—882no—
568C22×C4D4×D1111yescharacteristic
569C22×C4D4×D1111yescharacteristic
570C22×C4C23×D1111yescharacteristic
571M16—228no—
572C2×C8—22no—
573C2×C8—22no—
574C2×C8—112no—
575C2×C8—112no—
576C2×C8—228no—
577C2×C8—222no—
578C2×C8—222no—
579C2×C8C23×D1112yes—
580C2×C8C23×D1112yes—
581C4⋊C4—24no—
582C4⋊C4—24no—
583C4⋊C4—21no—
584C4⋊C4—21no—
585C4⋊C4—21no—
586C4⋊C4—114no—
587C4⋊C4—114no—
588C4⋊C4—112no—
589C4⋊C4—112no—
590C4⋊C4—112no—
591C4⋊C4—224no—
592C4⋊C4—224no—
593C4⋊C4—224no—
594C4⋊C4—224no—
595C4⋊C4—224no—
596C4⋊C4—224no—
597C4⋊C4—221no—
598C4⋊C4—221no—
599C4⋊C4—221no—
600C4⋊C4—224no—
601C4⋊C4—224no—
602C4⋊C4—224no—
603C4⋊C4C23×D1112yes—
604C4⋊C4C23×D1112yes—
605C4⋊C4C23×D1112yes—
606C22⋊C4—114no—
607C22⋊C4—114no—
608C22⋊C4—224no—
609C22⋊C4—224no—
610C42—24no—
611C42—112no—
612C42—112no—
613C42—224no—
614C42—224no—
615C42—224no—
616C42—224no—
617C42—224no—
618C42D4×D1112yes—
619C42C23×D1112yes—
620C11C2×#308211yescharacteristic, complemented, Sylow
621C23—114no—
622C23—112no—
623C23—222no—
624C23—222no—
625C23C2×D4×D1111yescharacteristic
626Q8—24no—
627Q8—22no—
628Q8—84no—
629Q8—114no—
630Q8—2216no—
631Q8—224no—
632Q8—222no—
633Q8—884no—
634Q8C2×Q8×D1114yes—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—24no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—42no—
643C2×C4—42no—
644C2×C4—42no—
645C2×C4—114no—
646C2×C4—112no—
647C2×C4—118no—
648C2×C4—114no—
649C2×C4—114no—
650C2×C4—112no—
651C2×C4—112no—
652C2×C4—2216no—
653C2×C4—222no—
654C2×C4—222no—
655C2×C4—224no—
656C2×C4—222no—
657C2×C4—222no—
658C2×C4—222no—
659C2×C4—222no—
660C2×C4—442no—
661C2×C4—442no—
662C2×C4—442no—
663C2×C4—884no—
664C2×C4C2×D4×D1112yes—
665C2×C4C2×D4×D1112yes—
666C2×C4C2×D4×D1111yescharacteristic
667C2×C4C2×Q8×D1112yes—
668C2×C4#41×D1112yes—
669C2×C4C24×D1111yescharacteristic
670C8—22no—
671C8—22no—
672C8—222no—
673C8—222no—
674C22—114no—
675C22—228no—
676C22—222no—
677C22—222no—
678C22D11×C22⋊Q812yes—
679C22#1062329712yes—
680C22#1062330612yes—
681C22C22×D4×D1111yescharacteristic
682C4—22no—
683C4—24no—
684C4—22no—
685C4—42no—
686C4—42no—
687C4—42no—
688C4—114no—
689C4—222no—
690C4—224no—
691C4—222no—
692C4—442no—
693C4—442no—
694C4—442no—
695C4D11×C22⋊Q812yes—
696C4C22×Q8×D1111yescharacteristic
697C4C2×#41×D1111yescharacteristic
698C2—224no—
699C2#1307845314yesdirect product factor
700C2C2×D11×C22⋊Q811yescharacteristic
701C2C2×#1062330611yescharacteristic
702C2C2×#1062329711yescharacteristic
subgroupG/H
centerC23C2×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC2×C11×#477C2
socleC23×C11C22×D4
prime radicalC23×D11C2×D4
hypercenterC2×#477D11
hypocenterC11C2×#3082
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#477

Complements

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

NH ≅ G/Ntype
3. #13078453C2direct (N × H)
4. C2×#10622409C2semidirect
5. C2×#10622442C2semidirect
6. C2×#10622635C2semidirect
7. C2×#10622490C2semidirect
8. C2×#10622488C2semidirect
9. C2×#10622404C2semidirect
10. C2×#10622707C2semidirect
16. C2×C11×#477C2semidirect
44. C11×#477C22semidirect
58. #10622707C22semidirect
59. #10622635C22semidirect
69. #10622490C22semidirect
70. #10622488C22semidirect
72. #10622442C22semidirect
75. #10622409C22semidirect
76. #10622404C22semidirect
81. C2×Q8×D11Q8semidirect
204. Q8×D11C2×Q8semidirect
278. C2×#477D11semidirect
371. #477C2×D11semidirect
526. C2×C11#3082semidirect
620. C11C2×#3082semidirect
699. C2#13078453direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#106232602
C2×#106231032
#130784532
C2×#106224092
C2×#106224422
C2×#106226352
C2×#106224902
C2×#106224882
C2×#106224042
C2×#106227072
C2×#106224942
C2×#106224932
C2×#106224522
C2×#106224152
C2×D11×#1032
C2×C11×#4772
C2×#308211