Finite Group Databasebeta

← C2×#13081571 #15634311

Subgroups — C2×#13081571 #15634311

Order 2816.

1898 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623261C211yesmaximal, characteristic, complemented
2C2×#10623221C211yesmaximal, characteristic, complemented
3#13081571C2116yesmaximal, direct product factor
4C2×#10622489C211yesmaximal, characteristic, complemented
5C2×#10622471C211yesmaximal, characteristic, complemented
6C2×#10622504C211yesmaximal, characteristic, complemented
7C2×#10622484C211yesmaximal, characteristic, complemented
8C2×#10622484C211yesmaximal, characteristic, complemented
9C2×#10622679C211yesmaximal, characteristic, complemented
10C2×#10622503C211yesmaximal, characteristic, complemented
11C2×#10622700C211yesmaximal, characteristic, complemented
12C2×#10622314C211yesmaximal, characteristic, complemented
13C2×#10622324C211yesmaximal, characteristic
14C2×#10622482C211yesmaximal, characteristic
15C2×#10622485C211yesmaximal, characteristic
16C2×C11×#501C211yesmaximal, characteristic, complemented
17C2×C11×C4⋊Q8C2211yescharacteristic
18C2×C11×#125C2211yescharacteristic
19C2×#66999—21no—
20C2×#66999—21no—
21C22×D88C2211yescharacteristic
22#10623261—24no—
23#10623261C2218yescomplemented
24#10623221—24no—
25#10623221C2218yescomplemented
26C2×#66950—21no—
27C2×#66950—21no—
28C2×#66949—21no—
29C2×#66949—21no—
30C2×#66946C2211yescharacteristic
31C2×#66946C2211yescharacteristic
32C2×#66946C2211yescharacteristic
33C2×#66946C2211yescharacteristic
34C2×C4⋊C4×D11—21no—
35C2×C4⋊C4×D11—21no—
36C2×#66943C2211yescharacteristic
37C2×#66943C2211yescharacteristic
38C2×#66943C2211yescharacteristic
39C2×#66941C2211yescharacteristic
40C2×C4×D44C2211yescharacteristic
41C2×C4×D44C2211yescharacteristic
42C2×C4×Dic22C2211yescharacteristic
43C11×#501C2218yescomplemented
44C2×C11×#107C2211yescharacteristic
45C2×C11×#107C2211yescharacteristic
46C2×C11×#106C2211yescharacteristic
47C2×C11×#106C2211yescharacteristic
48C2×C11×#97C2211yescharacteristic
49C2×#66885C2211yescharacteristic
50C2×#66885C2211yescharacteristic
51C2×#66881C2211yescharacteristic
52C2×#66879C2211yescharacteristic
53C2×Dic11⋊C8C2211yescharacteristic
54C2×Dic11⋊C8C2211yescharacteristic
55C2×C8×Dic11C2211yescharacteristic
56#10622700C2218yescomplemented
57#10622679C2218yescomplemented
58C2×#66873C2211yescharacteristic
59C2×#66873C2211yescharacteristic
60C2×#66873C2211yescharacteristic
61C2×#66873C2211yescharacteristic
62C2×#66872C2211yescharacteristic
63C2×#66871C2211yescharacteristic
64C2×#66871C2211yescharacteristic
65C2×#66871C2211yescharacteristic
66C2×C4⋊(C11⋊C8)C2211yescharacteristic
67#10622504C2218yescomplemented
68#10622503C2218yescomplemented
69#10622489C2218yescomplemented
70#10622485C2218yes—
71#10622484C2218yescomplemented
72#10622484C2218yescomplemented
73#10622482C2218yes—
74#10622471C2218yescomplemented
75#10622324C2218yes—
76#10622314C2218yescomplemented
77C22×Q8×C11—21no—
78C22×D44C2311yescharacteristic
79C22×D44C2311yescharacteristic
80C22×C4×D11—21no—
81C22×C4×D11—21no—
82C22×C4×D11—21no—
83C22×C4×D11—21no—
84C22×C4×D11—21no—
85C22×C4×D11—21no—
86C22×Dic22—21no—
87C22×Dic22D411yescharacteristic
88C22×C8×C11C2311yescharacteristic
89C22×C8×C11C2311yescharacteristic
90C11×C4⋊Q8—22no—
91C11×C4⋊Q8C2314yes—
92C11×#125—22no—
93C11×#125C2314yes—
94C2×C11×C4⋊C4—21no—
95C2×C11×C4⋊C4—21no—
96C2×C11×C4⋊C4—21no—
97C2×C11×C4⋊C4C2311yescharacteristic
98C2×C11×C4⋊C4C2311yescharacteristic
99C2×C11×C4⋊C4C2311yescharacteristic
100C2×C11×C4⋊C4C2311yescharacteristic
101C2×C42×C11C2311yescharacteristic
102#66999—28no—
103#66999—28no—
104C2×(C2×D11)⋊C4—21no—
105C2×(C2×D11)⋊C4—21no—
106C2×(C2×D11)⋊C4—21no—
107C2×(C2×D11)⋊C4—21no—
108C2×(C2×D11)⋊C4—21no—
109C2×(C2×D11)⋊C4—21no—
110C2×C4⋊Dic11—21no—
111C2×C4⋊Dic11—21no—
112C2×C4⋊Dic11—21no—
113C2×C4⋊Dic11D411yescharacteristic
114C2×C4⋊Dic11C2311yescharacteristic
115C2×C4⋊Dic11C2311yescharacteristic
116C2×Dic11⋊C4—21no—
117C2×Dic11⋊C4—21no—
118C2×Dic11⋊C4—21no—
119C2×Dic11⋊C4—21no—
120C2×Dic11⋊C4D411yescharacteristic
121C2×Dic11⋊C4D411yescharacteristic
122C2×C4×Dic11C2311yescharacteristic
123C2×C4×Dic11C2311yescharacteristic
124C22×C11⋊C8C2311yescharacteristic
125C22×C11⋊C8C2311yescharacteristic
126C2×D88Q818yescomplemented
127C2×D88C2314yes—
128#66950—28no—
129#66950—28no—
130#66949—28no—
131#66949—28no—
132#66946—22no—
133#66946—22no—
134#66946—22no—
135#66946—22no—
136#66946C2314yes—
137#66946C2314yes—
138#66946C2314yes—
139#66946C2314yes—
140C4⋊C4×D11—28no—
141C4⋊C4×D11—28no—
142#66943—22no—
143#66943—22no—
144#66943—22no—
145#66943C2314yes—
146#66943C2314yes—
147#66943C2314yes—
148#66941—22no—
149#66941C2314yes—
150C4×D44—22no—
151C4×D44—22no—
152C4×D44C2314yes—
153C4×D44C2314yes—
154C4×Dic22D414yes—
155C4×Dic22C2314yes—
156C11×#107C2314yes—
157C11×#107C2314yes—
158C11×#106C2314yes—
159C11×#106C2314yes—
160C11×#97C2314yes—
161#66885C2314yes—
162#66885C2314yes—
163#66881C2314yes—
164#66879C2314yes—
165Dic11⋊C8C2314yes—
166Dic11⋊C8C2314yes—
167C8×Dic11C2314yes—
168#66873C2314yes—
169#66873C2314yes—
170#66873C2314yes—
171#66873C2314yes—
172#66872C2314yes—
173#66871C2314yes—
174#66871C2314yes—
175#66871C2314yes—
176C4⋊(C11⋊C8)C2314yes—
177C2×#3389—111nomaximal, Sylow
178C23×D11—21no—
179C23×D11—21no—
180C2×Q8×C11—24no—
181C2×Q8×C11—82no—
182C22×C4×C11—21no—
183C22×C4×C11—21no—
184C22×C4×C11—21no—
185C22×C4×C11—21no—
186C22×C4×C11C2×D411yescharacteristic
187C22×C4×C11C2×D411yescharacteristic
188C22×C4×C11C2411yescharacteristic
189C22×Dic11—21no—
190C22×Dic11—21no—
191C22×Dic11C2×D411yescharacteristic
192C22×Dic11C2×D411yescharacteristic
193C22×Dic11C2×D411yescharacteristic
194C22×Dic11C2×D411yescharacteristic
195C2×D44—21no—
196C2×D44—21no—
197C2×D44—22no—
198C2×D44—22no—
199C2×D44C2×Q814yes—
200C2×D44C2×Q814yes—
201C2×D44C2412yes—
202C2×D44C2412yes—
203C2×C4×D11—24no—
204C2×C4×D11—24no—
205C2×C4×D11—24no—
206C2×C4×D11—24no—
207C2×C4×D11—24no—
208C2×C4×D11—24no—
209C2×C4×D11—44no—
210C2×C4×D11—44no—
211C2×C4×D11—82no—
212C2×C4×D11—82no—
213C2×C4×D11—82no—
214C2×C4×D11—82no—
215C2×Dic22—24no—
216C2×Dic22—42no—
217C2×Dic22—82no—
218C2×Dic22C2×D414yes—
219C2×C8×C11—22no—
220C2×C8×C11C2×Q814yes—
221C2×C8×C11C2412yes—
222C2×C8×C11C2412yes—
223C11×C4⋊C4—21no—
224C11×C4⋊C4—21no—
225C11×C4⋊C4—21no—
226C11×C4⋊C4—21no—
227C11×C4⋊C4—24no—
228C11×C4⋊C4—24no—
229C11×C4⋊C4—24no—
230C11×C4⋊C4C2412yes—
231C11×C4⋊C4C2412yes—
232C11×C4⋊C4C2412yes—
233C11×C4⋊C4C2412yes—
234C42×C11C2×D412yes—
235C42×C11C2412yes—
236(C2×D11)⋊C4—24no—
237(C2×D11)⋊C4—24no—
238(C2×D11)⋊C4—24no—
239(C2×D11)⋊C4—24no—
240(C2×D11)⋊C4—24no—
241(C2×D11)⋊C4—24no—
242C4⋊Dic11—24no—
243C4⋊Dic11—24no—
244C4⋊Dic11—24no—
245C4⋊Dic11—21no—
246C4⋊Dic11—21no—
247C4⋊Dic11C2×D414yes—
248C4⋊Dic11C2412yes—
249C4⋊Dic11C2412yes—
250Dic11⋊C4—24no—
251Dic11⋊C4—24no—
252Dic11⋊C4—24no—
253Dic11⋊C4—24no—
254Dic11⋊C4C2×D414yes—
255Dic11⋊C4C2×D414yes—
256C4×Dic11C2×D412yes—
257C4×Dic11C2×D412yes—
258C4×Dic11C2412yes—
259C4×Dic11C2412yes—
260C2×C11⋊C8—22no—
261C2×C11⋊C8—22no—
262C2×C11⋊C8C2412yes—
263C2×C11⋊C8C2412yes—
264D88C2×Q8116yescomplemented
265C2×#554—111no—
266C2×#554—111no—
267#3389—1116no—
268C2×#501—111no—
269C2×#501D1111yescharacteristic, complemented
270C2×#499—111no—
271C2×#478—111no—
272C2×#478—111no—
273C2×#478—111no—
274C2×#478—111no—
275C2×#474—111no—
276C2×#474—111no—
277C2×#446—111no—
278C2×#442—111no—
279C2×#442—111no—
280C2×C4×D8—111no—
281C23×C11C22×D411yescharacteristic
282C22×D11—24no—
283C22×D11—24no—
284C22×D11—22no—
285C22×D11—22no—
286C22×D11—42no—
287C22×D11—42no—
288C22×D11—42no—
289C22×D11—42no—
290Q8×C11—84no—
291C2×C4×C11—22no—
292C2×C4×C11—22no—
293C2×C4×C11—22no—
294C2×C4×C11—22no—
295C2×C4×C11—22no—
296C2×C4×C11—22no—
297C2×C4×C11—42no—
298C2×C4×C11—42no—
299C2×C4×C11—42no—
300C2×C4×C11—42no—
301C2×C4×C11C22×D412yes—
302C2×C4×C11C22×D412yes—
303C2×C4×C11C22×D411yescharacteristic
304C2×C4×C11C22×Q812yes—
305C2×C4×C112−1+412yes—
306C2×C4×C11C2511yescharacteristic
307C2×Dic11—22no—
308C2×Dic11—22no—
309C2×Dic11—22no—
310C2×Dic11—22no—
311C2×Dic11—22no—
312C2×Dic11—22no—
313C2×Dic11—42no—
314C2×Dic11—42no—
315C2×Dic11C22×D412yes—
316C2×Dic11C22×D412yes—
317C2×Dic11C22×D412yes—
318C2×Dic11C22×D412yes—
319D44—24no—
320D44—24no—
321D44—22no—
322D44—22no—
323D44C22×Q814yes—
324D44C22×Q814yes—
325C4×D11—48no—
326C4×D11—48no—
327C4×D11—84no—
328C4×D11—84no—
329C4×D11—84no—
330C4×D11—84no—
331Dic22—44no—
332Dic22—84no—
333C8×C11—22no—
334C8×C11C22×Q814yes—
335C11⋊C8—22no—
336C11⋊C8—22no—
337C22×D8—111no—
338#554—118no—
339#554—118no—
340#554—224no—
341#554—224no—
342C2×C4⋊Q8—111no—
343C2×C4⋊Q8C2×D1111yescharacteristic
344C2×#125—111no—
345C2×#125—111no—
346C2×#125—111no—
347C2×#125C2×D1111yescharacteristic
348C2×C22⋊Q8—221no—
349C2×C22⋊Q8—221no—
350C2×C22⋊Q8—221no—
351C2×C22⋊Q8—221no—
352C2×C22⋊Q8—221no—
353C2×C22⋊Q8—221no—
354C2×C4×Q8—111no—
355C2×C4×D4—111no—
356C2×C4×D4—111no—
357C2×C4×D4—111no—
358C2×C4×D4—111no—
359C2×C4×D4—111no—
360C2×C4×D4—111no—
361C22×C4⋊C4—221no—
362C22×C4⋊C4—221no—
363#501—118no—
364#501C2×D1118yescomplemented
365#499—118no—
366#478—118no—
367#478—118no—
368#478—118no—
369#478—118no—
370#474—118no—
371#474—118no—
372#446—118no—
373#442—118no—
374#442—118no—
375C4×D8—118no—
376C2×#107—111no—
377C2×#107—111no—
378C2×#107—111no—
379C2×#107C2×D1111yescharacteristic
380C2×#107C2×D1111yescharacteristic
381C2×#106—111no—
382C2×#106—111no—
383C2×#106C2×D1111yescharacteristic
384C2×#106C2×D1111yescharacteristic
385C2×C4⋊C8—111no—
386C2×C4⋊C8—111no—
387C2×C4⋊C8—111no—
388C2×#102—111no—
389C2×#102—111no—
390C2×#102—111no—
391C2×#102—111no—
392C2×#102—111no—
393C2×#102—111no—
394C2×#97—111no—
395C2×#97C2×D1111yescharacteristic
396C2×C4×C8—111no—
397C22×C11D4×Q812yes—
398C22×C11#57512yes—
399C22×C11#57612yes—
400C22×C11C23×D411yescharacteristic
401C2×D11—24no—
402C2×D11—24no—
403C2×D11—48no—
404C2×D11—48no—
405C2×D11—42no—
406C2×D11—42no—
407C2×D11—42no—
408C2×D11—42no—
409C4×C11—22no—
410C4×C11—22no—
411C4×C11—42no—
412C4×C11—42no—
413C4×C11—42no—
414C4×C11—42no—
415C4×C11D4×Q812yes—
416C4×C11C23×Q811yescharacteristic
417C4×C11C2×2−1+411yescharacteristic
418Dic11—22no—
419Dic11—22no—
420Dic11—22no—
421Dic11—22no—
422Dic11—42no—
423Dic11—42no—
424C22×Q8—21no—
425C22×Q8—111no—
426C22×Q8—221no—
427C22×D4—111no—
428C22×D4—111no—
429C23×C4—221no—
430C23×C4—221no—
431C23×C4—221no—
432C23×C4—221no—
433C23×C4—221no—
434C23×C4—221no—
435C2×D8—118no—
436C2×D8—114no—
437C22×C8—111no—
438C22×C8—111no—
439C22×C8C22×D1111yescharacteristic
440C22×C8C22×D1111yescharacteristic
441C4⋊Q8—22no—
442C4⋊Q8—114no—
443C4⋊Q8—222no—
444C4⋊Q8C22×D1114yes—
445#125—22no—
446#125—114no—
447#125—114no—
448#125—114no—
449#125—222no—
450#125—222no—
451#125—222no—
452#125C22×D1114yes—
453C22⋊Q8—228no—
454C22⋊Q8—228no—
455C22⋊Q8—228no—
456C22⋊Q8—228no—
457C22⋊Q8—228no—
458C22⋊Q8—228no—
459C4×Q8—114no—
460C4×Q8—114no—
461C4×D4—114no—
462C4×D4—114no—
463C4×D4—114no—
464C4×D4—114no—
465C4×D4—114no—
466C4×D4—114no—
467C4×D4—222no—
468C4×D4—222no—
469C4×D4—222no—
470C4×D4—222no—
471C4×D4—222no—
472C4×D4—222no—
473C2×C4⋊C4—21no—
474C2×C4⋊C4—21no—
475C2×C4⋊C4—21no—
476C2×C4⋊C4—111no—
477C2×C4⋊C4—111no—
478C2×C4⋊C4—111no—
479C2×C4⋊C4—111no—
480C2×C4⋊C4—111no—
481C2×C4⋊C4—228no—
482C2×C4⋊C4—228no—
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⋊C4C22×D1111yescharacteristic
491C2×C4⋊C4C22×D1111yescharacteristic
492C2×C4⋊C4C22×D1111yescharacteristic
493C2×C4⋊C4C22×D1111yescharacteristic
494C2×C22⋊C4—221no—
495C2×C22⋊C4—221no—
496C2×C22⋊C4—221no—
497C2×C22⋊C4—221no—
498C2×C22⋊C4—221no—
499C2×C22⋊C4—221no—
500C2×C42—111no—
501C2×C42—111no—
502C2×C42C22×D1111yescharacteristic
503#107—114no—
504#107—114no—
505#107—114no—
506#107C22×D1114yes—
507#107C22×D1114yes—
508#106—114no—
509#106—114no—
510#106C22×D1114yes—
511#106C22×D1114yes—
512C4⋊C8—114no—
513C4⋊C8—114no—
514C4⋊C8—114no—
515#102—114no—
516#102—114no—
517#102—114no—
518#102—114no—
519#102—114no—
520#102—114no—
521#97—114no—
522#97C22×D1114yes—
523C4×C8—114no—
524C2×C11#338914yescomplemented
525C2×C11C2×D4×Q811yescharacteristic
526C2×C11C2×#57511yescharacteristic
527C2×C11C2×#57611yescharacteristic
528D11—44no—
529D11—44no—
530C24—221no—
531C24—221no—
532C2×Q8—24no—
533C2×Q8—82no—
534C2×Q8—114no—
535C2×Q8—224no—
536C2×Q8—442no—
537C2×Q8—882no—
538C2×D4—114no—
539C2×D4—114no—
540C2×D4—112no—
541C2×D4—112no—
542C2×D4—221no—
543C2×D4—221no—
544C2×D4—222no—
545C2×D4—222no—
546C22×C4—21no—
547C22×C4—21no—
548C22×C4—21no—
549C22×C4—21no—
550C22×C4—111no—
551C22×C4—111no—
552C22×C4—111no—
553C22×C4—111no—
554C22×C4—224no—
555C22×C4—224no—
556C22×C4—224no—
557C22×C4—224no—
558C22×C4—221no—
559C22×C4—221no—
560C22×C4—224no—
561C22×C4—224no—
562C22×C4—444no—
563C22×C4—444no—
564C22×C4—882no—
565C22×C4—882no—
566C22×C4—882no—
567C22×C4—882no—
568C22×C4D4×D1111yescharacteristic
569C22×C4D4×D1111yescharacteristic
570C22×C4C23×D1111yescharacteristic
571D8—1116no—
572C2×C8—22no—
573C2×C8—112no—
574C2×C8—112no—
575C2×C8—222no—
576C2×C8—222no—
577C2×C8Q8×D1114yes—
578C2×C8C23×D1112yes—
579C2×C8C23×D1112yes—
580C4⋊C4—24no—
581C4⋊C4—24no—
582C4⋊C4—24no—
583C4⋊C4—21no—
584C4⋊C4—21no—
585C4⋊C4—21no—
586C4⋊C4—21no—
587C4⋊C4—114no—
588C4⋊C4—114no—
589C4⋊C4—114no—
590C4⋊C4—112no—
591C4⋊C4—112no—
592C4⋊C4—224no—
593C4⋊C4—224no—
594C4⋊C4—224no—
595C4⋊C4—224no—
596C4⋊C4—224no—
597C4⋊C4—224no—
598C4⋊C4—224no—
599C4⋊C4—221no—
600C4⋊C4—221no—
601C4⋊C4C23×D1112yes—
602C4⋊C4C23×D1112yes—
603C4⋊C4C23×D1112yes—
604C4⋊C4C23×D1112yes—
605C22⋊C4—224no—
606C22⋊C4—224no—
607C22⋊C4—224no—
608C22⋊C4—224no—
609C22⋊C4—224no—
610C22⋊C4—224no—
611C42—112no—
612C42—112no—
613C42—112no—
614C42—112no—
615C42D4×D1112yes—
616C42C23×D1112yes—
617C11C2×#338911yescharacteristic, complemented, Sylow
618C23—224no—
619C23—224no—
620C23—222no—
621C23—222no—
622C23—442no—
623C23—442no—
624C23—442no—
625C23—442no—
626C23C2×D4×D1111yescharacteristic
627Q8—84no—
628Q8—444no—
629Q8—884no—
630D4—114no—
631D4—114no—
632D4—224no—
633D4—224no—
634D4—222no—
635D4—222no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—42no—
643C2×C4—42no—
644C2×C4—42no—
645C2×C4—42no—
646C2×C4—112no—
647C2×C4—112no—
648C2×C4—112no—
649C2×C4—112no—
650C2×C4—222no—
651C2×C4—222no—
652C2×C4—222no—
653C2×C4—222no—
654C2×C4—222no—
655C2×C4—222no—
656C2×C4—448no—
657C2×C4—448no—
658C2×C4—442no—
659C2×C4—442no—
660C2×C4—884no—
661C2×C4—884no—
662C2×C4—884no—
663C2×C4—884no—
664C2×C4C2×D4×D1112yes—
665C2×C4C2×D4×D1112yes—
666C2×C4C2×D4×D1111yescharacteristic
667C2×C4C2×Q8×D1112yes—
668C2×C4#6704012yes—
669C2×C4C24×D1111yescharacteristic
670C8—22no—
671C8—222no—
672C8—222no—
673C8C2×Q8×D1114yes—
674C22—224no—
675C22—224no—
676C22—442no—
677C22—442no—
678C22—448no—
679C22—448no—
680C22—442no—
681C22—442no—
682C22#1062325812yes—
683C22#1062330512yes—
684C22#1062330812yes—
685C22C22×D4×D1111yescharacteristic
686C4—22no—
687C4—22no—
688C4—42no—
689C4—42no—
690C4—42no—
691C4—42no—
692C4—222no—
693C4—222no—
694C4—222no—
695C4—222no—
696C4—442no—
697C4—442no—
698C4#1062325812yes—
699C4C22×Q8×D1111yescharacteristic
700C4C2×#6704011yescharacteristic
701C2—444no—
702C2—444no—
703C2#1308157114yesdirect product factor
704C2C2×#1062325811yescharacteristic
705C2C2×#1062330811yescharacteristic
706C2C2×#1062330511yescharacteristic
subgroupG/H
centerC23C2×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC2×C11×#501C2
socleC23×C11C22×D4
prime radicalC22×D88C22
hypercenterC2×#501D11
hypocenterC11C2×#3389
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#501

Complements

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

NH ≅ G/Ntype
1. C2×#10623261C2semidirect
2. C2×#10623221C2semidirect
3. #13081571C2direct (N × H)
4. C2×#10622489C2semidirect
5. C2×#10622471C2semidirect
6. C2×#10622504C2semidirect
7. C2×#10622484C2semidirect
8. C2×#10622484C2semidirect
9. C2×#10622679C2semidirect
10. C2×#10622503C2semidirect
11. C2×#10622700C2semidirect
12. C2×#10622314C2semidirect
16. C2×C11×#501C2semidirect
23. #10623261C22semidirect
25. #10623221C22semidirect
43. C11×#501C22semidirect
56. #10622700C22semidirect
57. #10622679C22semidirect
67. #10622504C22semidirect
68. #10622503C22semidirect
69. #10622489C22semidirect
71. #10622484C22semidirect
72. #10622484C22semidirect
74. #10622471C22semidirect
76. #10622314C22semidirect
126. C2×D88Q8semidirect
264. D88C2×Q8semidirect
269. C2×#501D11semidirect
364. #501C2×D11semidirect
524. C2×C11#3389semidirect
617. C11C2×#3389semidirect
703. C2#13081571direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#106232612
C2×#106232212
#130815712
C2×#106224892
C2×#106224712
C2×#106225042
C2×#106224842
C2×#106226792
C2×#106225032
C2×#106227002
C2×#106223142
C2×#106223242
C2×#106224822
C2×#106224852
C2×C11×#5012
C2×#338911