Finite Group Databasebeta

← C2×#13073515 #14924922

Subgroups — C2×#13073515 #14924922

Order 2816.

4390 conjugacy classes of subgroups.

The subgroup lattice has 732 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#66991C211yesmaximal, characteristic, complemented
2C22×D4×Dic11C211yesmaximal, characteristic, complemented
3C22×C4×C22⋊D11C211yesmaximal, characteristic, complemented
4#13073515C2116yesmaximal, direct product factor
5C2×#10622565C212yesmaximal, complemented
6C2×#10622836C212yesmaximal, complemented
7C2×#10622833C212yesmaximal, complemented
8C2×#10622571C212yesmaximal, complemented
9C2×#10622590C211yesmaximal, characteristic, complemented
10C2×#10622825C211yesmaximal, characteristic, complemented
11C2×#10622600C211yesmaximal, characteristic, complemented
12C22×C11×#121C211yesmaximal, characteristic, complemented
13C23×D4×C11C2212yes—
14C23×D4×C11C2211yescharacteristic
15C24×C4×C11C2211yescharacteristic
16C23×C22⋊D11C2211yescharacteristic
17C23×C22⋊D11C2212yes—
18C24×Dic11C2212yes—
19C23×C4×D11C2211yescharacteristic
20C2×C11×#121—28no—
21C2×C11×#121C2218yescomplemented
22C22×C11×C4⋊C4C2211yescharacteristic
23C22×C11×C22⋊C4C2212yes—
24C22×C22⋊Dic11C2211yescharacteristic
25C22×C22⋊Dic11C2212yes—
26C22×C22⋊Dic11C2212yes—
27C22×C22⋊Dic11C2212yes—
28C2×#66991—28no—
29C2×#66991C2218yescomplemented
30C2×D4×Dic11—28no—
31C2×D4×Dic11C2218yescomplemented
32C2×C4×C22⋊D11—28no—
33C2×C4×C22⋊D11C2218yescomplemented
34C22×(C2×D11)⋊C4C2211yescharacteristic
35C22×(C2×D11)⋊C4C2212yes—
36C22×C4⋊Dic11C2211yescharacteristic
37C22×C4⋊Dic11C2211yescharacteristic
38C22×Dic11⋊C4C2211yescharacteristic
39C22×C4×Dic11C2211yescharacteristic
40#10622836C22116yescomplemented
41#10622833C22116yescomplemented
42#10622825C2218yescomplemented
43C2×C11⋊#95C2212yes—
44C2×C11⋊#95C2212yes—
45C2×C11⋊#95C2212yes—
46C2×C11⋊#95C2212yes—
47#10622600C2218yescomplemented
48#10622590C2218yescomplemented
49#10622571C22116yescomplemented
50#10622565C22116yescomplemented
51C25×C11C2312yes—
52C25×C11C2311yescharacteristic
53C24×D11C2311yescharacteristic
54C22×D4×C11—28no—
55C22×D4×C11—28no—
56C22×D4×C11—24no—
57C22×D4×C11—24no—
58C22×D4×C11—44no—
59C22×D4×C11D418yescomplemented
60C22×D4×C11C2318yes—
61C22×D4×C11C2314yes—
62C23×C4×C11—24no—
63C23×C4×C11—24no—
64C23×C4×C11—24no—
65C23×C4×C11C2311yescharacteristic
66C23×C4×C11C2312yes—
67C23×C4×C11C2314yes—
68C23×C4×C11C2311yescharacteristic
69C22×C22⋊D11—24no—
70C22×C22⋊D11—24no—
71C22×C22⋊D11—28no—
72C22×C22⋊D11—28no—
73C22×C22⋊D11—24no—
74C22×C22⋊D11—44no—
75C22×C22⋊D11C2314yes—
76C22×C22⋊D11C2318yes—
77C23×Dic11—28no—
78C23×Dic11—44no—
79C23×Dic11—44no—
80C23×Dic11C2311yescharacteristic
81C23×Dic11C2312yes—
82C23×Dic11C2312yes—
83C23×Dic11C2311yescharacteristic
84C23×Dic11C2311yescharacteristic
85C23×Dic11C2318yes—
86C22×C4×D11—24no—
87C22×C4×D11—24no—
88C22×C4×D11—24no—
89C22×C4×D11C2314yes—
90C11×#121—232no—
91C2×C11×C4⋊C4—24no—
92C2×C11×C4⋊C4C2314yes—
93C2×C11×C22⋊C4—28no—
94C2×C11×C22⋊C4C2318yes—
95C2×C22⋊Dic11—28no—
96C2×C22⋊Dic11—24no—
97C2×C22⋊Dic11—28no—
98C2×C22⋊Dic11—44no—
99C2×C22⋊Dic11C2314yes—
100C2×C22⋊Dic11C2318yes—
101C2×C22⋊Dic11C2318yes—
102C2×C22⋊Dic11C2318yes—
103#66991—232no—
104D4×Dic11—232no—
105C4×C22⋊D11—232no—
106C2×(C2×D11)⋊C4—24no—
107C2×(C2×D11)⋊C4—44no—
108C2×(C2×D11)⋊C4C2314yes—
109C2×(C2×D11)⋊C4C2318yes—
110C2×C4⋊Dic11—24no—
111C2×C4⋊Dic11—24no—
112C2×C4⋊Dic11C2314yes—
113C2×C4⋊Dic11C2314yes—
114C2×Dic11⋊C4—24no—
115C2×Dic11⋊C4C2314yes—
116C2×C4×Dic11D418yescomplemented
117C2×C4×Dic11C2314yes—
118C11⋊#95C2318yes—
119C11⋊#95C2318yes—
120C11⋊#95C2318yes—
121C11⋊#95C2318yes—
122C2×#2535—111nomaximal, Sylow
123C24×C11—24no—
124C24×C11—22no—
125C24×C11—22no—
126C24×C11—22no—
127C24×C11—24no—
128C24×C11—22no—
129C24×C11—24no—
130C24×C11—24no—
131C24×C11—22no—
132C24×C11—24no—
133C24×C11—24no—
134C24×C11—22no—
135C24×C11C2×D418yes—
136C24×C11#4114yes—
137C24×C11C2414yes—
138C24×C11C2412yes—
139C24×C11C2411yescharacteristic
140C23×D11—22no—
141C23×D11—22no—
142C23×D11—22no—
143C23×D11—22no—
144C23×D11—22no—
145C23×D11—22no—
146C23×D11#4114yes—
147C23×D11C2412yes—
148C2×D4×C11—216no—
149C2×D4×C11—216no—
150C2×D4×C11—232no—
151C2×D4×C11—28no—
152C2×D4×C11—28no—
153C2×D4×C11—48no—
154C2×D4×C11—432no—
155C2×D4×C11C2×D4116yescomplemented
156C22×C4×C11—22no—
157C22×C4×C11—22no—
158C22×C4×C11—24no—
159C22×C4×C11—22no—
160C22×C4×C11—24no—
161C22×C4×C11—24no—
162C22×C4×C11—28no—
163C22×C4×C11—28no—
164C22×C4×C11—28no—
165C22×C4×C11—416no—
166C22×C4×C11C2×D414yes—
167C22×C4×C11C2×D414yes—
168C22×C4×C11#4114yes—
169C22×C4×C11C2414yes—
170C22×C4×C11C2412yes—
171C22×C4×C11C2412yes—
172C2×C22⋊D11—232no—
173C2×C22⋊D11—28no—
174C2×C22⋊D11—216no—
175C2×C22⋊D11—28no—
176C2×C22⋊D11—28no—
177C2×C22⋊D11—216no—
178C2×C22⋊D11—48no—
179C2×C22⋊D11—432no—
180C22×Dic11—216no—
181C22×Dic11—22no—
182C22×Dic11—24no—
183C22×Dic11—24no—
184C22×Dic11—22no—
185C22×Dic11—22no—
186C22×Dic11—22no—
187C22×Dic11—22no—
188C22×Dic11—24no—
189C22×Dic11—22no—
190C22×Dic11—22no—
191C22×Dic11—24no—
192C22×Dic11—24no—
193C22×Dic11—24no—
194C22×Dic11—48no—
195C22×Dic11—48no—
196C22×Dic11—432no—
197C22×Dic11C2×D414yes—
198C22×Dic11C2×D414yes—
199C22×Dic11C2414yes—
200C22×Dic11C2412yes—
201C22×Dic11C2414yes—
202C22×Dic11C2412yes—
203C22×Dic11C2412yes—
204C2×C4×D11—28no—
205C2×C4×D11—28no—
206C2×C4×D11—28no—
207C2×C4×D11—416no—
208C11×C4⋊C4—28no—
209C11×C22⋊C4—216no—
210C22⋊Dic11—28no—
211C22⋊Dic11—216no—
212C22⋊Dic11—216no—
213C22⋊Dic11—48no—
214(C2×D11)⋊C4—28no—
215(C2×D11)⋊C4—48no—
216C4⋊Dic11—28no—
217C4⋊Dic11—28no—
218Dic11⋊C4—28no—
219C4×Dic11C2×D4116yescomplemented
220C22×#121—111no—
221C22×#121D1111yescharacteristic, complemented
222C22×C4×D4—111no—
223C22×C4×D4—111no—
224#2535—1116no—
225C2×#397—112no—
226C2×#392—112no—
227C2×#386—112no—
228C2×#386—112no—
229C2×#382—111no—
230C2×#380—111no—
231C2×#380—111no—
232C23×C11—216no—
233C23×C11—28no—
234C23×C11—216no—
235C23×C11—28no—
236C23×C11—216no—
237C23×C11—28no—
238C23×C11—24no—
239C23×C11—22no—
240C23×C11—22no—
241C23×C11—22no—
242C23×C11—24no—
243C23×C11—22no—
244C23×C11—24no—
245C23×C11—24no—
246C23×C11—22no—
247C23×C11—24no—
248C23×C11—24no—
249C23×C11—22no—
250C23×C11—44no—
251C23×C11—48no—
252C23×C11—48no—
253C23×C11—44no—
254C23×C11—44no—
255C23×C11—44no—
256C23×C11—48no—
257C23×C11—48no—
258C23×C11C22×D412yes—
259C23×C11C22×D418yes—
260C23×C11C22×D412yes—
261C23×C11C2×#4114yes—
262C23×C11C2×#4112yes—
263C23×C11C2×#4112yes—
264C23×C11C2×#4112yes—
265C23×C11H(5,𝔽2)12yes—
266C23×C11H(5,𝔽2)12yes—
267C23×C11C2511yescharacteristic
268C22×D11—28no—
269C22×D11—28no—
270C22×D11—28no—
271C22×D11—22no—
272C22×D11—22no—
273C22×D11—22no—
274C22×D11—22no—
275C22×D11—22no—
276C22×D11—22no—
277C22×D11—44no—
278C22×D11—44no—
279C22×D11—44no—
280C22×D11—44no—
281C22×D11C2×#4114yes—
282D4×C11—232no—
283D4×C11—432no—
284C2×C4×C11—22no—
285C2×C4×C11—22no—
286C2×C4×C11—24no—
287C2×C4×C11—22no—
288C2×C4×C11—24no—
289C2×C4×C11—24no—
290C2×C4×C11—44no—
291C2×C4×C11—48no—
292C2×C4×C11—416no—
293C2×C4×C11#121116yes—
294C2×C4×C11C22×D414yes—
295C2×C4×C11C22×D414yes—
296C2×C4×C11C2×#4114yes—
297C22⋊D11—232no—
298C22⋊D11—432no—
299C2×Dic11—28no—
300C2×Dic11—28no—
301C2×Dic11—22no—
302C2×Dic11—22no—
303C2×Dic11—22no—
304C2×Dic11—22no—
305C2×Dic11—22no—
306C2×Dic11—24no—
307C2×Dic11—24no—
308C2×Dic11—22no—
309C2×Dic11—22no—
310C2×Dic11—24no—
311C2×Dic11—24no—
312C2×Dic11—24no—
313C2×Dic11—24no—
314C2×Dic11—432no—
315C2×Dic11—44no—
316C2×Dic11—48no—
317C2×Dic11—48no—
318C2×Dic11C22×D414yes—
319C2×Dic11C22×D414yes—
320C4×D11—416no—
321C23×D4—111no—
322C23×D4—112no—
323C23×D4C2×D1112yes—
324C23×D4C2×D1111yescharacteristic
325C24×C4—112no—
326C24×C4—111no—
327C24×C4C2×D1111yescharacteristic
328C2×#121—28no—
329C2×#121—118no—
330C2×#121—228no—
331C2×#121C2×D1118yescomplemented
332C2×C4×D4—118no—
333C2×C4×D4—118no—
334C2×C4×D4—228no—
335C2×C4×D4—228no—
336C22×C4⋊C4—111no—
337C22×C4⋊C4—111no—
338C22×C4⋊C4—111no—
339C22×C4⋊C4C2×D1111yescharacteristic
340C22×C22⋊C4—112no—
341C22×C22⋊C4—112no—
342C22×C22⋊C4—111no—
343C22×C22⋊C4—111no—
344C22×C22⋊C4—112no—
345C22×C22⋊C4—112no—
346C22×C22⋊C4C2×D1112yes—
347C22×C42—111no—
348#397—1116no—
349#392—1116no—
350#386—1116no—
351#386—1116no—
352#382—118no—
353#380—118no—
354#380—118no—
355C2×#95—112no—
356C2×#95—112no—
357C2×#95—112no—
358C2×#95—112no—
359C22×C11—28no—
360C22×C11—24no—
361C22×C11—24no—
362C22×C11—28no—
363C22×C11—28no—
364C22×C11—24no—
365C22×C11—42no—
366C22×C11—44no—
367C22×C11—42no—
368C22×C11—44no—
369C22×C11—42no—
370C22×C11—42no—
371C22×C11—44no—
372C22×C11—44no—
373C22×C11—432no—
374C22×C11—416no—
375C22×C11C2×#12114yes—
376C22×C11#52514yes—
377C22×C11#53514yes—
378C22×C11#54614yes—
379C22×C11#54614yes—
380C22×C11#55314yes—
381C22×C11#55314yes—
382C22×C11C23×D411yescharacteristic
383C22×C11C23×D411yescharacteristic
384C22×C11C22×#4111yescharacteristic
385C22×C11C22×#4111yescharacteristic
386C22×C11C22×#4111yescharacteristic
387C22×C11C2×H(5,𝔽2)11yescharacteristic
388C22×C11C2×H(5,𝔽2)11yescharacteristic
389C2×D11—24no—
390C2×D11—24no—
391C2×D11—24no—
392C2×D11—42no—
393C2×D11—42no—
394C2×D11—42no—
395C2×D11—42no—
396C2×D11—416no—
397C4×C11—42no—
398C4×C11—44no—
399C4×C11C2×#12118yes—
400Dic11—24no—
401Dic11—24no—
402Dic11—42no—
403Dic11—44no—
404Dic11—44no—
405C25—111no—
406C25C22×D1111yescharacteristic
407C25C22×D1112yes—
408C22×D4—28no—
409C22×D4—28no—
410C22×D4—24no—
411C22×D4—24no—
412C22×D4—44no—
413C22×D4—114no—
414C22×D4—118no—
415C22×D4—224no—
416C22×D4—224no—
417C22×D4—224no—
418C22×D4—228no—
419C22×D4—228no—
420C22×D4—444no—
421C22×D4C22⋊D1118yescomplemented
422C22×D4C22×D1118yes—
423C22×D4C22×D1114yes—
424C23×C4—24no—
425C23×C4—24no—
426C23×C4—24no—
427C23×C4—111no—
428C23×C4—111no—
429C23×C4—111no—
430C23×C4—112no—
431C23×C4—112no—
432C23×C4—118no—
433C23×C4—114no—
434C23×C4—228no—
435C23×C4—224no—
436C23×C4—224no—
437C23×C4—224no—
438C23×C4—444no—
439C23×C4—444no—
440C23×C4C22×D1114yes—
441C23×C4C22×D1111yescharacteristic
442C23×C4C22×D1112yes—
443C23×C4C22×D1111yescharacteristic
444#121—232no—
445#121—2232no—
446C4×D4—2232no—
447C4×D4—2232no—
448C2×C4⋊C4—24no—
449C2×C4⋊C4—114no—
450C2×C4⋊C4—114no—
451C2×C4⋊C4—114no—
452C2×C4⋊C4—224no—
453C2×C4⋊C4—224no—
454C2×C4⋊C4—224no—
455C2×C4⋊C4C22×D1114yes—
456C2×C22⋊C4—28no—
457C2×C22⋊C4—114no—
458C2×C22⋊C4—118no—
459C2×C22⋊C4—118no—
460C2×C22⋊C4—114no—
461C2×C22⋊C4—118no—
462C2×C22⋊C4—118no—
463C2×C22⋊C4—224no—
464C2×C22⋊C4—228no—
465C2×C22⋊C4—224no—
466C2×C22⋊C4—228no—
467C2×C22⋊C4—444no—
468C2×C22⋊C4—444no—
469C2×C22⋊C4C22×D1118yes—
470C2×C42—118no—
471C2×C42—114no—
472#95—118no—
473#95—118no—
474#95—118no—
475#95—118no—
476C2×C11—48no—
477C2×C11—44no—
478C2×C11#253518yescomplemented
479C2×C11C22×#12111yescharacteristic
480C2×C11C2×#52511yescharacteristic
481C2×C11C2×#53511yescharacteristic
482C2×C11C2×#54611yescharacteristic
483C2×C11C2×#54611yescharacteristic
484C2×C11C2×#55311yescharacteristic
485C2×C11C2×#55311yescharacteristic
486D11—44no—
487C24—22no—
488C24—24no—
489C24—22no—
490C24—24no—
491C24—24no—
492C24—24no—
493C24—22no—
494C24—24no—
495C24—22no—
496C24—22no—
497C24—24no—
498C24—22no—
499C24—114no—
500C24—112no—
501C24—222no—
502C24—222no—
503C24—222no—
504C24—222no—
505C24—222no—
506C24—222no—
507C24#434114yes—
508C24C2×C22⋊D1118yes—
509C24C23×D1112yes—
510C24C23×D1114yes—
511C24C23×D1111yescharacteristic
512C2×D4—216no—
513C2×D4—216no—
514C2×D4—232no—
515C2×D4—28no—
516C2×D4—28no—
517C2×D4—48no—
518C2×D4—432no—
519C2×D4—228no—
520C2×D4—228no—
521C2×D4—2232no—
522C2×D4—228no—
523C2×D4—2216no—
524C2×D4—2216no—
525C2×D4—448no—
526C2×D4—4432no—
527C2×D4C2×C22⋊D11116yescomplemented
528C22×C4—22no—
529C22×C4—22no—
530C22×C4—24no—
531C22×C4—24no—
532C22×C4—22no—
533C22×C4—24no—
534C22×C4—28no—
535C22×C4—28no—
536C22×C4—28no—
537C22×C4—416no—
538C22×C4—114no—
539C22×C4—114no—
540C22×C4—112no—
541C22×C4—112no—
542C22×C4—114no—
543C22×C4—112no—
544C22×C4—114no—
545C22×C4—2216no—
546C22×C4—222no—
547C22×C4—222no—
548C22×C4—222no—
549C22×C4—222no—
550C22×C4—222no—
551C22×C4—224no—
552C22×C4—222no—
553C22×C4—224no—
554C22×C4—224no—
555C22×C4—224no—
556C22×C4—224no—
557C22×C4—222no—
558C22×C4—224no—
559C22×C4—228no—
560C22×C4—228no—
561C22×C4—228no—
562C22×C4—448no—
563C22×C4—448no—
564C22×C4—4432no—
565C22×C4—4416no—
566C22×C4D4×D1114yes—
567C22×C4#434114yes—
568C22×C4C2×C22⋊D1114yes—
569C22×C4C23×D1114yes—
570C22×C4C23×D1112yes—
571C22×C4C23×D1112yes—
572C4⋊C4—28no—
573C4⋊C4—228no—
574C4⋊C4—228no—
575C4⋊C4—228no—
576C22⋊C4—216no—
577C22⋊C4—228no—
578C22⋊C4—2216no—
579C22⋊C4—228no—
580C22⋊C4—2216no—
581C22⋊C4—448no—
582C22⋊C4—448no—
583C42—1116no—
584C11C2×#253511yescharacteristic, complemented, Sylow
585C23—216no—
586C23—28no—
587C23—216no—
588C23—216no—
589C23—28no—
590C23—28no—
591C23—22no—
592C23—24no—
593C23—22no—
594C23—24no—
595C23—24no—
596C23—24no—
597C23—22no—
598C23—22no—
599C23—24no—
600C23—22no—
601C23—24no—
602C23—22no—
603C23—44no—
604C23—44no—
605C23—48no—
606C23—48no—
607C23—44no—
608C23—44no—
609C23—48no—
610C23—48no—
611C23—114no—
612C23—228no—
613C23—228no—
614C23—228no—
615C23—222no—
616C23—222no—
617C23—222no—
618C23—222no—
619C23—222no—
620C23—222no—
621C23—444no—
622C23—444no—
623C23—444no—
624C23—444no—
625C23C2×D4×D1112yes—
626C23C2×#434114yes—
627C23C2×#434112yes—
628C23C2×#434112yes—
629C23#6703712yes—
630C23#41×D1112yes—
631C23#6704212yes—
632C23C22×C22⋊D1118yes—
633C23C22×C22⋊D1112yes—
634C23C24×D1111yescharacteristic
635D4—232no—
636D4—432no—
637D4—2232no—
638D4—4432no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—24no—
642C2×C4—24no—
643C2×C4—22no—
644C2×C4—24no—
645C2×C4—44no—
646C2×C4—48no—
647C2×C4—416no—
648C2×C4—114no—
649C2×C4—114no—
650C2×C4—228no—
651C2×C4—228no—
652C2×C4—222no—
653C2×C4—222no—
654C2×C4—222no—
655C2×C4—222no—
656C2×C4—224no—
657C2×C4—222no—
658C2×C4—222no—
659C2×C4—224no—
660C2×C4—224no—
661C2×C4—224no—
662C2×C4—224no—
663C2×C4—222no—
664C2×C4—224no—
665C2×C4—4432no—
666C2×C4—444no—
667C2×C4—448no—
668C2×C4—448no—
669C2×C4—4416no—
670C2×C4#66992116yes—
671C2×C4C2×D4×D1114yes—
672C2×C4C2×#434114yes—
673C2×C4C22×C22⋊D1114yes—
674C22—24no—
675C22—24no—
676C22—28no—
677C22—24no—
678C22—28no—
679C22—28no—
680C22—44no—
681C22—42no—
682C22—44no—
683C22—44no—
684C22—44no—
685C22—42no—
686C22—432no—
687C22—416no—
688C22—42no—
689C22—42no—
690C22—224no—
691C22—224no—
692C22—224no—
693C22—442no—
694C22—442no—
695C22—4416no—
696C22—442no—
697C22—442no—
698C22#1062313714yes—
699C22#1062313814yes—
700C22#1062314514yes—
701C22#1062314914yes—
702C22C2×#6699214yes—
703C22#1062333714yes—
704C22#1062336014yes—
705C22C22×D4×D1111yescharacteristic
706C22C22×#434111yescharacteristic
707C22C22×#434111yescharacteristic
708C22C2×#6703711yescharacteristic
709C22C2×#41×D1111yescharacteristic
710C22C2×#6704211yescharacteristic
711C22C23×C22⋊D1111yescharacteristic
712C4—44no—
713C4—42no—
714C4—224no—
715C4—224no—
716C4—444no—
717C4—444no—
718C4—442no—
719C4C2×#6699218yes—
720C2—44no—
721C2—48no—
722C2—444no—
723C2#1307351518yesdirect product factor
724C2C22×#6699211yescharacteristic
725C2C2×#1062313711yescharacteristic
726C2C2×#1062313811yescharacteristic
727C2C2×#1062336011yescharacteristic
728C2C2×#1062333711yescharacteristic
729C2C2×#1062314511yescharacteristic
730C2C2×#1062314911yescharacteristic
subgroupG/H
centerC24C23×D11
commutator, cosocleC23×C11C25
FrattiniC23C24×D11
FittingC22×C11×#121C2
socleC24×C11C24
hypercenterC22×#121D11
hypocenterC11C2×#2535
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C24 ◁ C22×#121

Complements

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

NH ≅ G/Ntype
1. C22×#66991C2semidirect
2. C22×D4×Dic11C2semidirect
3. C22×C4×C22⋊D11C2semidirect
4. #13073515C2direct (N × H)
5. C2×#10622565C2semidirect
6. C2×#10622836C2semidirect
7. C2×#10622833C2semidirect
8. C2×#10622571C2semidirect
9. C2×#10622590C2semidirect
10. C2×#10622825C2semidirect
11. C2×#10622600C2semidirect
12. C22×C11×#121C2semidirect
21. C2×C11×#121C22semidirect
29. C2×#66991C22semidirect
31. C2×D4×Dic11C22semidirect
33. C2×C4×C22⋊D11C22semidirect
40. #10622836C22semidirect
41. #10622833C22semidirect
42. #10622825C22semidirect
47. #10622600C22semidirect
48. #10622590C22semidirect
49. #10622571C22semidirect
50. #10622565C22semidirect
59. C22×D4×C11D4semidirect
116. C2×C4×Dic11D4semidirect
155. C2×D4×C11C2×D4semidirect
219. C4×Dic11C2×D4semidirect
221. C22×#121D11semidirect
331. C2×#121C2×D11semidirect
421. C22×D4C22⋊D11semidirect
478. C2×C11#2535semidirect
527. C2×D4C2×C22⋊D11semidirect
584. C11C2×#2535semidirect
723. C2#13073515direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#669912
C22×D4×Dic112
C22×C4×C22⋊D112
#130735152
C2×#106225652
C2×#106228362
C2×#106228332
C2×#106225712
C2×#106225902
C2×#106228252
C2×#106226002
C22×C11×#1212
C2×#253511