Finite Group Databasebeta

← C2×#13072037 #14922101

Subgroups — C2×#13072037 #14922101

Order 2816.

4174 conjugacy classes of subgroups.

The subgroup lattice has 728 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#66991C211yesmaximal, characteristic, complemented
2C22×#66991C211yesmaximal, characteristic, complemented
3C22×C4×D44C211yesmaximal, characteristic, complemented
4C22×#66945C211yesmaximal, characteristic, complemented
5#13072037C2116yesmaximal, direct product factor
6C2×#10622572C212yesmaximal, complemented
7C2×#10622573C212yesmaximal, complemented
8C2×#10622570C212yesmaximal, complemented
9C2×#10622541C211yesmaximal, characteristic, complemented
10C2×#10622564C212yesmaximal, complemented
11C2×#10622600C211yesmaximal, characteristic, complemented
12C2×C11×#390C211yesmaximal, characteristic, complemented
13C23×D4×C11C2211yescharacteristic
14C23×C22⋊D11C2212yes—
15C23×C22⋊D11C2212yes—
16C23×D44C2211yescharacteristic
17C23×C4×D11C2211yescharacteristic
18C23×C4×D11C2211yescharacteristic
19C22×C11×C4⋊C4C2211yescharacteristic
20C22×C11×C22⋊C4C2212yes—
21C22×C11×C22⋊C4C2212yes—
22C22×C42×C11C2211yescharacteristic
23C22×C22⋊Dic11C2212yes—
24C22×C22⋊Dic11C2212yes—
25C2×#66991—28no—
26C2×#66991—28no—
27C2×#66991C2218yescomplemented
28C2×#66991C2218yescomplemented
29C22×(C2×D11)⋊C4C2212yes—
30C22×(C2×D11)⋊C4C2211yescharacteristic
31C22×(C2×D11)⋊C4C2211yescharacteristic
32C22×(C2×D11)⋊C4C2212yes—
33C22×C4⋊Dic11C2211yescharacteristic
34C22×C4⋊Dic11C2211yescharacteristic
35C22×C4⋊Dic11C2211yescharacteristic
36C22×Dic11⋊C4C2212yes—
37C22×C4×Dic11C2212yes—
38C2×#66945—28no—
39C2×#66945C2218yescomplemented
40C2×C4×D44—28no—
41C2×C4×D44C2218yescomplemented
42C11×#390C2218yescomplemented
43C2×C11⋊#95C2212yes—
44C2×C11⋊#95C2212yes—
45#10622600C2218yescomplemented
46#10622573C22116yescomplemented
47#10622572C22116yescomplemented
48#10622570C22116yescomplemented
49#10622564C22116yescomplemented
50#10622541C2218yescomplemented
51C25×C11C2312yes—
52C24×D11C2311yescharacteristic
53C24×D11C2311yescharacteristic
54C22×D4×C11—24no—
55C22×D4×C11—24no—
56C22×D4×C11—24no—
57C22×D4×C11C2314yes—
58C23×C4×C11C2312yes—
59C23×C4×C11C2311yescharacteristic
60C23×C4×C11C2311yescharacteristic
61C23×C4×C11C2311yescharacteristic
62C22×C22⋊D11—28no—
63C22×C22⋊D11—28no—
64C22×C22⋊D11—28no—
65C22×C22⋊D11—44no—
66C22×C22⋊D11—44no—
67C22×C22⋊D11—44no—
68C22×C22⋊D11C2318yes—
69C22×C22⋊D11C2318yes—
70C23×Dic11C2312yes—
71C23×Dic11C2311yescharacteristic
72C23×Dic11C2311yescharacteristic
73C23×Dic11C2312yes—
74C22×D44—24no—
75C22×D44—24no—
76C22×D44—24no—
77C22×D44C2314yes—
78C22×C4×D11—24no—
79C22×C4×D11—24no—
80C22×C4×D11—24no—
81C22×C4×D11—24no—
82C22×C4×D11—24no—
83C22×C4×D11D418yescomplemented
84C22×C4×D11C2314yes—
85C22×C4×D11C2314yes—
86C2×C11×C4⋊C4—24no—
87C2×C11×C4⋊C4C2314yes—
88C2×C11×C22⋊C4—28no—
89C2×C11×C22⋊C4—44no—
90C2×C11×C22⋊C4C2318yes—
91C2×C11×C22⋊C4C2318yes—
92C2×C42×C11—24no—
93C2×C42×C11C2314yes—
94C2×C22⋊Dic11—28no—
95C2×C22⋊Dic11—28no—
96C2×C22⋊Dic11C2318yes—
97C2×C22⋊Dic11C2318yes—
98#66991—232no—
99#66991—232no—
100C2×(C2×D11)⋊C4—24no—
101C2×(C2×D11)⋊C4—24no—
102C2×(C2×D11)⋊C4—28no—
103C2×(C2×D11)⋊C4—44no—
104C2×(C2×D11)⋊C4C2314yes—
105C2×(C2×D11)⋊C4C2314yes—
106C2×(C2×D11)⋊C4C2318yes—
107C2×(C2×D11)⋊C4C2318yes—
108C2×C4⋊Dic11—24no—
109C2×C4⋊Dic11—24no—
110C2×C4⋊Dic11D418yescomplemented
111C2×C4⋊Dic11C2314yes—
112C2×C4⋊Dic11C2314yes—
113C2×C4⋊Dic11C2314yes—
114C2×Dic11⋊C4—44no—
115C2×Dic11⋊C4C2318yes—
116C2×C4×Dic11—28no—
117C2×C4×Dic11C2318yes—
118#66945—232no—
119C4×D44—232no—
120C11⋊#95C2318yes—
121C11⋊#95C2318yes—
122C2×#2414—111nomaximal, Sylow
123C24×C11—24no—
124C24×C11—24no—
125C24×C11—24no—
126C24×C11—24no—
127C24×C11—24no—
128C24×C11—24no—
129C24×C11—24no—
130C24×C11C2414yes—
131C24×C11C2411yescharacteristic
132C23×D11—22no—
133C23×D11—22no—
134C23×D11—22no—
135C23×D11—22no—
136C23×D11—22no—
137C23×D11—22no—
138C23×D11—22no—
139C23×D11—22no—
140C23×D11—22no—
141C23×D11—22no—
142C23×D11—22no—
143C23×D11—22no—
144C23×D11C2×D414yes—
145C23×D11#4114yes—
146C23×D11C2412yes—
147C23×D11C2412yes—
148C2×D4×C11—28no—
149C2×D4×C11—28no—
150C2×D4×C11—28no—
151C2×D4×C11—416no—
152C22×C4×C11—22no—
153C22×C4×C11—22no—
154C22×C4×C11—24no—
155C22×C4×C11—22no—
156C22×C4×C11—24no—
157C22×C4×C11—22no—
158C22×C4×C11—24no—
159C22×C4×C11—22no—
160C22×C4×C11C2×D414yes—
161C22×C4×C11C2×D414yes—
162C22×C4×C11#4114yes—
163C22×C4×C11#4114yes—
164C22×C4×C11C2414yes—
165C22×C4×C11C2412yes—
166C22×C4×C11C2412yes—
167C22×C4×C11C2412yes—
168C2×C22⋊D11—216no—
169C2×C22⋊D11—216no—
170C2×C22⋊D11—216no—
171C2×C22⋊D11—48no—
172C2×C22⋊D11—48no—
173C2×C22⋊D11—48no—
174C2×C22⋊D11—432no—
175C2×C22⋊D11—432no—
176C22×Dic11—22no—
177C22×Dic11—22no—
178C22×Dic11—24no—
179C22×Dic11—22no—
180C22×Dic11—22no—
181C22×Dic11—24no—
182C22×Dic11—22no—
183C22×Dic11—24no—
184C22×Dic11—24no—
185C22×Dic11—24no—
186C22×Dic11C2×D418yes—
187C22×Dic11C2×D414yes—
188C22×Dic11C2414yes—
189C22×Dic11C2412yes—
190C22×Dic11C2414yes—
191C22×Dic11C2412yes—
192C2×D44—232no—
193C2×D44—28no—
194C2×D44—28no—
195C2×D44—28no—
196C2×C4×D11—232no—
197C2×C4×D11—28no—
198C2×C4×D11—28no—
199C2×C4×D11—28no—
200C2×C4×D11—28no—
201C2×C4×D11—28no—
202C2×C4×D11—416no—
203C2×C4×D11C2×D4116yescomplemented
204C11×C4⋊C4—28no—
205C11×C22⋊C4—216no—
206C11×C22⋊C4—48no—
207C42×C11—28no—
208C22⋊Dic11—216no—
209C22⋊Dic11—216no—
210(C2×D11)⋊C4—28no—
211(C2×D11)⋊C4—216no—
212(C2×D11)⋊C4—28no—
213(C2×D11)⋊C4—48no—
214C4⋊Dic11—28no—
215C4⋊Dic11—28no—
216C4⋊Dic11C2×D4116yescomplemented
217Dic11⋊C4—48no—
218C4×Dic11—216no—
219C22×#121—111no—
220C22×#121—111no—
221C22×C4×D4—111no—
222C22×#117—111no—
223#2414—1116no—
224C2×#394—112no—
225C2×#392—112no—
226C2×#390—112no—
227C2×#390D1111yescharacteristic, complemented
228C2×#389—111no—
229C2×#388—112no—
230C2×#380—111no—
231C23×C11—24no—
232C23×C11—24no—
233C23×C11—24no—
234C23×C11—24no—
235C23×C11—24no—
236C23×C11—24no—
237C23×C11—24no—
238C23×C11—48no—
239C23×C11—48no—
240C23×C11—48no—
241C23×C11—48no—
242C23×C11—48no—
243C23×C11—48no—
244C23×C11—48no—
245C23×C11C22×D412yes—
246C23×C11C22×D412yes—
247C23×C11C2×#4112yes—
248C23×C11C2×#4112yes—
249C23×C11C2×#4112yes—
250C23×C11H(5,𝔽2)12yes—
251C23×C11H(5,𝔽2)12yes—
252C23×C11C2511yescharacteristic
253C22×D11—28no—
254C22×D11—28no—
255C22×D11—28no—
256C22×D11—28no—
257C22×D11—28no—
258C22×D11—28no—
259C22×D11—22no—
260C22×D11—22no—
261C22×D11—22no—
262C22×D11—22no—
263C22×D11—22no—
264C22×D11—22no—
265C22×D11—22no—
266C22×D11—22no—
267C22×D11—22no—
268C22×D11—22no—
269C22×D11—22no—
270C22×D11—22no—
271C22×D11—44no—
272C22×D11—44no—
273C22×D11—44no—
274C22×D11—44no—
275C22×D11—44no—
276C22×D11—44no—
277C22×D11—44no—
278C22×D11—44no—
279C22×D11C22×D414yes—
280C22×D11C2×#4114yes—
281D4×C11—416no—
282C2×C4×C11—28no—
283C2×C4×C11—22no—
284C2×C4×C11—22no—
285C2×C4×C11—24no—
286C2×C4×C11—22no—
287C2×C4×C11—24no—
288C2×C4×C11—22no—
289C2×C4×C11—24no—
290C2×C4×C11—22no—
291C2×C4×C11—44no—
292C2×C4×C11—48no—
293C2×C4×C11#121116yes—
294C2×C4×C11C22×D414yes—
295C2×C4×C11C22×D414yes—
296C2×C4×C11C2×#4114yes—
297C2×C4×C11C2×#4114yes—
298C22⋊D11—432no—
299C22⋊D11—432no—
300C2×Dic11—28no—
301C2×Dic11—216no—
302C2×Dic11—22no—
303C2×Dic11—22no—
304C2×Dic11—24no—
305C2×Dic11—24no—
306C2×Dic11—22no—
307C2×Dic11—24no—
308C2×Dic11—22no—
309C2×Dic11—22no—
310C2×Dic11—24no—
311C2×Dic11—24no—
312C2×Dic11—44no—
313C2×Dic11—48no—
314C2×Dic11C22×D418yes—
315C2×Dic11C22×D414yes—
316D44—232no—
317C4×D11—232no—
318C4×D11—416no—
319C23×D4—112no—
320C23×D4—112no—
321C23×D4—111no—
322C23×D4C2×D1111yescharacteristic
323C24×C4—111no—
324C24×C4—111no—
325C2×#121—118no—
326C2×#121—118no—
327C2×#121—228no—
328C2×#121—228no—
329C2×C4×D4—118no—
330C2×C4×D4—228no—
331C2×#117—118no—
332C2×#117—228no—
333C22×C4⋊C4—111no—
334C22×C4⋊C4—111no—
335C22×C4⋊C4—111no—
336C22×C4⋊C4—112no—
337C22×C4⋊C4C2×D1111yescharacteristic
338C22×C22⋊C4—112no—
339C22×C22⋊C4—112no—
340C22×C22⋊C4—112no—
341C22×C22⋊C4—111no—
342C22×C22⋊C4—111no—
343C22×C22⋊C4—112no—
344C22×C22⋊C4C2×D1112yes—
345C22×C22⋊C4C2×D1112yes—
346C22×C42—112no—
347C22×C42C2×D1111yescharacteristic
348#394—1116no—
349#392—1116no—
350#390—1116no—
351#390C2×D1118yescomplemented
352#389—118no—
353#388—1116no—
354#380—118no—
355C2×#95—112no—
356C2×#95—112no—
357C22×C11—44no—
358C22×C11—44no—
359C22×C11—44no—
360C22×C11—44no—
361C22×C11—44no—
362C22×C11—44no—
363C22×C11—44no—
364C22×C11—816no—
365C22×C11C2×#12114yes—
366C22×C11#52514yes—
367C22×C11#53514yes—
368C22×C11#54614yes—
369C22×C11#55014yes—
370C22×C11#55314yes—
371C22×C11#55514yes—
372C22×C11C23×D411yescharacteristic
373C22×C11C23×D411yescharacteristic
374C22×C11C22×#4111yescharacteristic
375C22×C11C22×#4111yescharacteristic
376C22×C11C22×#4111yescharacteristic
377C22×C11C2×H(5,𝔽2)11yescharacteristic
378C22×C11C2×H(5,𝔽2)11yescharacteristic
379C2×D11—24no—
380C2×D11—24no—
381C2×D11—24no—
382C2×D11—24no—
383C2×D11—24no—
384C2×D11—24no—
385C2×D11—42no—
386C2×D11—416no—
387C2×D11—416no—
388C2×D11—42no—
389C2×D11—42no—
390C2×D11—42no—
391C2×D11—42no—
392C2×D11—42no—
393C2×D11—42no—
394C2×D11—42no—
395C4×C11—24no—
396C4×C11—42no—
397C4×C11—44no—
398C4×C11C2×#12118yes—
399Dic11—24no—
400Dic11—28no—
401Dic11—42no—
402Dic11—44no—
403C25—111no—
404C25—111no—
405C25C22×D1112yes—
406C22×D4—24no—
407C22×D4—24no—
408C22×D4—24no—
409C22×D4—118no—
410C22×D4—118no—
411C22×D4—114no—
412C22×D4—224no—
413C22×D4—224no—
414C22×D4—228no—
415C22×D4—228no—
416C22×D4—228no—
417C22×D4—224no—
418C22×D4—444no—
419C22×D4—444no—
420C22×D4—444no—
421C22×D4C22×D1114yes—
422C23×C4—111no—
423C23×C4—112no—
424C23×C4—118no—
425C23×C4—114no—
426C23×C4—111no—
427C23×C4—112no—
428C23×C4—114no—
429C23×C4—224no—
430C23×C4—224no—
431C23×C4—224no—
432C23×C4—224no—
433C23×C4—224no—
434C23×C4C22×D1111yescharacteristic
435C23×C4C22×D1112yes—
436C23×C4C22×D1111yescharacteristic
437C23×C4C22×D1111yescharacteristic
438#121—2232no—
439#121—2232no—
440C4×D4—2232no—
441#117—2232no—
442C2×C4⋊C4—24no—
443C2×C4⋊C4—118no—
444C2×C4⋊C4—114no—
445C2×C4⋊C4—114no—
446C2×C4⋊C4—114no—
447C2×C4⋊C4—118no—
448C2×C4⋊C4—224no—
449C2×C4⋊C4—224no—
450C2×C4⋊C4—444no—
451C2×C4⋊C4C22×D1114yes—
452C2×C22⋊C4—28no—
453C2×C22⋊C4—44no—
454C2×C22⋊C4—118no—
455C2×C22⋊C4—118no—
456C2×C22⋊C4—118no—
457C2×C22⋊C4—114no—
458C2×C22⋊C4—114no—
459C2×C22⋊C4—118no—
460C2×C22⋊C4—228no—
461C2×C22⋊C4—224no—
462C2×C22⋊C4—224no—
463C2×C22⋊C4—228no—
464C2×C22⋊C4—228no—
465C2×C22⋊C4—444no—
466C2×C22⋊C4C22×D1118yes—
467C2×C22⋊C4C22×D1118yes—
468C2×C42—24no—
469C2×C42—118no—
470C2×C42—228no—
471C2×C42C22×D1114yes—
472#95—118no—
473#95—118no—
474C2×C11—84no—
475C2×C11#241418yescomplemented
476C2×C11C22×#12111yescharacteristic
477C2×C11C2×#52511yescharacteristic
478C2×C11C2×#53511yescharacteristic
479C2×C11C2×#54611yescharacteristic
480C2×C11C2×#55011yescharacteristic
481C2×C11C2×#55311yescharacteristic
482C2×C11C2×#55511yescharacteristic
483D11—44no—
484D11—44no—
485C24—24no—
486C24—24no—
487C24—24no—
488C24—24no—
489C24—24no—
490C24—24no—
491C24—24no—
492C24—114no—
493C24—114no—
494C24—112no—
495C24—112no—
496C24—222no—
497C24—222no—
498C24—222no—
499C24—222no—
500C24—222no—
501C24—222no—
502C24—222no—
503C24—222no—
504C24—222no—
505C24—222no—
506C24—222no—
507C24—222no—
508C24C23×D1114yes—
509C24C23×D1111yescharacteristic
510C2×D4—28no—
511C2×D4—28no—
512C2×D4—28no—
513C2×D4—416no—
514C2×D4—228no—
515C2×D4—228no—
516C2×D4—2232no—
517C2×D4—2216no—
518C2×D4—2216no—
519C2×D4—2216no—
520C2×D4—228no—
521C2×D4—448no—
522C2×D4—448no—
523C2×D4—448no—
524C2×D4—4432no—
525C2×D4—4432no—
526C22×C4—22no—
527C22×C4—22no—
528C22×C4—22no—
529C22×C4—24no—
530C22×C4—24no—
531C22×C4—22no—
532C22×C4—24no—
533C22×C4—22no—
534C22×C4—118no—
535C22×C4—114no—
536C22×C4—114no—
537C22×C4—112no—
538C22×C4—1116no—
539C22×C4—112no—
540C22×C4—114no—
541C22×C4—222no—
542C22×C4—222no—
543C22×C4—224no—
544C22×C4—224no—
545C22×C4—2232no—
546C22×C4—228no—
547C22×C4—228no—
548C22×C4—222no—
549C22×C4—222no—
550C22×C4—222no—
551C22×C4—224no—
552C22×C4—224no—
553C22×C4—224no—
554C22×C4—228no—
555C22×C4—228no—
556C22×C4—228no—
557C22×C4—4416no—
558C22×C4#433914yes—
559C22×C4D4×D1114yes—
560C22×C4D4×D1114yes—
561C22×C4#434114yes—
562C22×C4C23×D1114yes—
563C22×C4C23×D1112yes—
564C22×C4C23×D1112yes—
565C22×C4C23×D1112yes—
566C4⋊C4—28no—
567C4⋊C4—1116no—
568C4⋊C4—228no—
569C4⋊C4—228no—
570C4⋊C4—448no—
571C22⋊C4—216no—
572C22⋊C4—48no—
573C22⋊C4—2216no—
574C22⋊C4—228no—
575C22⋊C4—228no—
576C22⋊C4—2216no—
577C22⋊C4—2216no—
578C22⋊C4—448no—
579C42—28no—
580C42—2216no—
581C11C2×#241411yescharacteristic, complemented, Sylow
582C23—24no—
583C23—24no—
584C23—24no—
585C23—24no—
586C23—24no—
587C23—24no—
588C23—24no—
589C23—48no—
590C23—48no—
591C23—48no—
592C23—48no—
593C23—48no—
594C23—48no—
595C23—48no—
596C23—114no—
597C23—114no—
598C23—228no—
599C23—228no—
600C23—228no—
601C23—228no—
602C23—228no—
603C23—222no—
604C23—222no—
605C23—222no—
606C23—222no—
607C23—222no—
608C23—222no—
609C23—222no—
610C23—222no—
611C23—222no—
612C23—222no—
613C23—222no—
614C23—222no—
615C23—228no—
616C23—444no—
617C23—444no—
618C23—444no—
619C23—444no—
620C23—444no—
621C23—444no—
622C23—444no—
623C23—444no—
624C23C2×#433912yes—
625C23C2×D4×D1112yes—
626C23C2×D4×D1112yes—
627C23C2×#434112yes—
628C23#6703712yes—
629C23#41×D1112yes—
630C23#6704212yes—
631C23C24×D1111yescharacteristic
632D4—416no—
633D4—2232no—
634D4—4432no—
635D4—4432no—
636C2×C4—28no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—24no—
641C2×C4—24no—
642C2×C4—22no—
643C2×C4—24no—
644C2×C4—22no—
645C2×C4—48no—
646C2×C4—44no—
647C2×C4—118no—
648C2×C4—114no—
649C2×C4—228no—
650C2×C4—222no—
651C2×C4—222no—
652C2×C4—224no—
653C2×C4—224no—
654C2×C4—2216no—
655C2×C4—2232no—
656C2×C4—222no—
657C2×C4—222no—
658C2×C4—222no—
659C2×C4—224no—
660C2×C4—224no—
661C2×C4—224no—
662C2×C4—444no—
663C2×C4—448no—
664C2×C4—4416no—
665C2×C4#66937116yes—
666C2×C4C2×#433914yes—
667C2×C4C2×D4×D1114yes—
668C2×C4C2×D4×D1114yes—
669C2×C4C2×#434114yes—
670C22—44no—
671C22—44no—
672C22—44no—
673C22—44no—
674C22—44no—
675C22—44no—
676C22—44no—
677C22—816no—
678C22—224no—
679C22—224no—
680C22—224no—
681C22—224no—
682C22—224no—
683C22—224no—
684C22—442no—
685C22—442no—
686C22—442no—
687C22—442no—
688C22—4416no—
689C22—4416no—
690C22—442no—
691C22—442no—
692C22—442no—
693C22—442no—
694C22C2×#6693714yes—
695C22#1062308914yes—
696C22#1062309414yes—
697C22#1062313714yes—
698C22#1062313814yes—
699C22#1062320714yes—
700C22#1062324914yes—
701C22C22×#433911yescharacteristic
702C22C22×D4×D1111yescharacteristic
703C22C22×D4×D1111yescharacteristic
704C22C22×#434111yescharacteristic
705C22C2×#6703711yescharacteristic
706C22C2×#41×D1111yescharacteristic
707C22C2×#6704211yescharacteristic
708C4—24no—
709C4—42no—
710C4—44no—
711C4—228no—
712C4—224no—
713C4—444no—
714C4—442no—
715C4C2×#6693718yes—
716C2—84no—
717C2—444no—
718C2—444no—
719C2#1307203718yesdirect product factor
720C2C22×#6693711yescharacteristic
721C2C2×#1062313711yescharacteristic
722C2C2×#1062313811yescharacteristic
723C2C2×#1062320711yescharacteristic
724C2C2×#1062324911yescharacteristic
725C2C2×#1062308911yescharacteristic
726C2C2×#1062309411yescharacteristic
subgroupG/H
centerC24C23×D11
commutator, cosocleC23×C11C25
FrattiniC23C24×D11
FittingC2×C11×#390C2
socleC24×C11C24
hypercenterC2×#390D11
hypocenterC11C2×#2414
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C24 ◁ C2×#390

Complements

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

NH ≅ G/Ntype
1. C22×#66991C2semidirect
2. C22×#66991C2semidirect
3. C22×C4×D44C2semidirect
4. C22×#66945C2semidirect
5. #13072037C2direct (N × H)
6. C2×#10622572C2semidirect
7. C2×#10622573C2semidirect
8. C2×#10622570C2semidirect
9. C2×#10622541C2semidirect
10. C2×#10622564C2semidirect
11. C2×#10622600C2semidirect
12. C2×C11×#390C2semidirect
27. C2×#66991C22semidirect
28. C2×#66991C22semidirect
39. C2×#66945C22semidirect
41. C2×C4×D44C22semidirect
42. C11×#390C22semidirect
45. #10622600C22semidirect
46. #10622573C22semidirect
47. #10622572C22semidirect
48. #10622570C22semidirect
49. #10622564C22semidirect
50. #10622541C22semidirect
83. C22×C4×D11D4semidirect
110. C2×C4⋊Dic11D4semidirect
203. C2×C4×D11C2×D4semidirect
216. C4⋊Dic11C2×D4semidirect
227. C2×#390D11semidirect
351. #390C2×D11semidirect
475. C2×C11#2414semidirect
581. C11C2×#2414semidirect
719. C2#13072037direct (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×C4×D442
C22×#669452
#130720372
C2×#106225722
C2×#106225732
C2×#106225702
C2×#106225412
C2×#106225642
C2×#106226002
C2×C11×#3902
C2×#241411