Finite Group Databasebeta

← C2×#13071101 #14912158

Subgroups — C2×#13071101 #14912158

Order 2816.

6174 conjugacy classes of subgroups.

The subgroup lattice has 692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×#4341C211yesmaximal, characteristic
2C22×#66930C211yesmaximal, characteristic, complemented
3C23×C4×Dic11C211yesmaximal, characteristic, complemented
4#13071101C2116yesmaximal, direct product factor
5C2×#10622259C212yesmaximal, complemented
6C2×#10622570C212yesmaximal, complemented
7C2×#10622833C211yesmaximal, characteristic, complemented
8C2×#10622826C211yesmaximal, characteristic, complemented
9C2×#10622571C211yesmaximal, characteristic, complemented
10C2×C22⋊C4×Dic11C212yesmaximal, complemented
11C2×#10622279C212yesmaximal, complemented
12C2×C11×#386C211yesmaximal, characteristic, complemented
13C23×D4×C11C2211yescharacteristic
14C24×C4×C11C2211yescharacteristic
15C23×C22⋊D11C2211yescharacteristic
16C23×C22⋊D11C2211yescharacteristic
17C24×Dic11C2211yescharacteristic
18C24×Dic11C2211yescharacteristic
19C24×Dic11C2211yescharacteristic
20C22×#4341—28no—
21C22×#4341—28no—
22C22×#4341C4116yescomplemented
23C22×#4341C2218yes—
24C23×C4×D11C2211yescharacteristic
25C23×Dic22C2211yescharacteristic
26C22×C11×C22⋊C4C2212yes—
27C22×C11×C22⋊C4C2211yescharacteristic
28C22×C22⋊Dic11C2212yes—
29C22×C22⋊Dic11C2211yescharacteristic
30C22×(C2×D11)⋊C4C2212yes—
31C22×(C2×D11)⋊C4C2212yes—
32C22×Dic11⋊C4C2212yes—
33C22×C4×Dic11—28no—
34C22×C4×Dic11C2212yes—
35C22×C4×Dic11C2212yes—
36C22×C4×Dic11C2212yes—
37C22×C4×Dic11C2218yescomplemented
38C2×#66930—28no—
39C2×#66930C2218yescomplemented
40C11×#386C2218yescomplemented
41C2×C11×#95C2212yes—
42#10622833C2218yescomplemented
43#10622826C2218yescomplemented
44C2×C11⋊#95C2212yes—
45C2×C11⋊#95C2212yes—
46C2×C11⋊#95C2212yes—
47#10622571C2218yescomplemented
48#10622570C22116yescomplemented
49C22⋊C4×Dic11C22116yescomplemented
50#10622279C22116yescomplemented
51#10622259C22116yescomplemented
52C25×C11C2311yescharacteristic
53C25×C11C2311yescharacteristic
54C24×D11C2311yescharacteristic
55C22×D4×C11—24no—
56C22×D4×C11—24no—
57C22×D4×C11C2×C418yes—
58C22×D4×C11C2314yes—
59C23×C4×C11—24no—
60C23×C4×C11—28no—
61C23×C4×C11C2312yes—
62C23×C4×C11C2314yes—
63C23×C4×C11C2311yescharacteristic
64C23×C4×C11C2312yes—
65C22×C22⋊D11—24no—
66C22×C22⋊D11—24no—
67C22×C22⋊D11—24no—
68C22×C22⋊D11—24no—
69C22×C22⋊D11C2×C418yes—
70C22×C22⋊D11C2×C418yescomplemented
71C22×C22⋊D11C2314yes—
72C22×C22⋊D11C2314yes—
73C23×Dic11—24no—
74C23×Dic11—24no—
75C23×Dic11—24no—
76C23×Dic11—28no—
77C23×Dic11C2×C418yes—
78C23×Dic11C2×C418yescomplemented
79C23×Dic11D418yes—
80C23×Dic11D418yes—
81C23×Dic11C2312yes—
82C23×Dic11C2314yes—
83C23×Dic11C2311yescharacteristic
84C23×Dic11C2314yes—
85C23×Dic11C2312yes—
86C23×Dic11C2314yes—
87C23×Dic11C2311yescharacteristic
88C23×Dic11C2311yescharacteristic
89C2×#4341—2128no—
90C2×#4341—232no—
91C2×#4341—232no—
92C2×#4341C2×C4164yescomplemented
93C22×C4×D11—24no—
94C22×C4×D11—24no—
95C22×C4×D11C2×C418yescomplemented
96C22×C4×D11C2314yes—
97C22×Dic22—24no—
98C22×Dic22—24no—
99C22×Dic22C2×C418yescomplemented
100C22×Dic22C2314yes—
101C2×C11×C22⋊C4—24no—
102C2×C11×C22⋊C4—28no—
103C2×C11×C22⋊C4C2314yes—
104C2×C11×C22⋊C4C2318yes—
105C2×C22⋊Dic11—24no—
106C2×C22⋊Dic11—28no—
107C2×C22⋊Dic11C2314yes—
108C2×C22⋊Dic11C2318yes—
109C2×(C2×D11)⋊C4—28no—
110C2×(C2×D11)⋊C4—28no—
111C2×(C2×D11)⋊C4C2318yes—
112C2×(C2×D11)⋊C4C2318yes—
113C2×Dic11⋊C4—28no—
114C2×Dic11⋊C4C2318yes—
115C2×C4×Dic11—28no—
116C2×C4×Dic11—28no—
117C2×C4×Dic11—28no—
118C2×C4×Dic11—232no—
119C2×C4×Dic11C2318yes—
120C2×C4×Dic11C2318yes—
121C2×C4×Dic11C2318yes—
122#66930—232no—
123C11×#95C2318yes—
124C11⋊#95C2318yes—
125C11⋊#95C2318yes—
126C11⋊#95C2318yes—
127C2×#2297—111nomaximal, Sylow
128C24×C11—24no—
129C24×C11—24no—
130C24×C11—22no—
131C24×C11—22no—
132C24×C11—24no—
133C24×C11—24no—
134C24×C11C22×C414yes—
135C24×C11C22×C414yes—
136C24×C11C2×D414yes—
137C24×C11C2×D414yes—
138C24×C11C2412yes—
139C24×C11C2412yes—
140C24×C11C2411yescharacteristic
141C23×D11—22no—
142C23×D11—22no—
143C23×D11—24no—
144C23×D11—24no—
145C23×D11C22×C414yes—
146C23×D11C2412yes—
147C2×D4×C11—232no—
148C2×D4×C11—28no—
149C2×D4×C11—28no—
150C2×D4×C11C22×C4116yes—
151C22×C4×C11—232no—
152C22×C4×C11—28no—
153C22×C4×C11—24no—
154C22×C4×C11—22no—
155C22×C4×C11—22no—
156C22×C4×C11—24no—
157C22×C4×C11—216no—
158C22×C4×C11—24no—
159C22×C4×C11—24no—
160C22×C4×C11—24no—
161C22×C4×C11C22×C414yes—
162C22×C4×C11#4118yescomplemented
163C22×C4×C11C2414yes—
164C22×C4×C11C2412yes—
165C22×C4×C11C2414yes—
166C2×C22⋊D11—232no—
167C2×C22⋊D11—28no—
168C2×C22⋊D11—28no—
169C2×C22⋊D11—232no—
170C2×C22⋊D11—28no—
171C2×C22⋊D11—28no—
172C2×C22⋊D11C22×C4116yes—
173C2×C22⋊D11C22×C4116yescomplemented
174C22×Dic11—232no—
175C22×Dic11—232no—
176C22×Dic11—28no—
177C22×Dic11—28no—
178C22×Dic11—216no—
179C22×Dic11—28no—
180C22×Dic11—24no—
181C22×Dic11—22no—
182C22×Dic11—22no—
183C22×Dic11—24no—
184C22×Dic11—24no—
185C22×Dic11—24no—
186C22×Dic11—24no—
187C22×Dic11C22⋊C4164yescomplemented
188C22×Dic11C22×C414yes—
189C22×Dic11C22×C414yes—
190C22×Dic11C22×C414yes—
191C22×Dic11C22×C4116yes—
192C22×Dic11C22×C4116yescomplemented
193C22×Dic11C2×D414yes—
194C22×Dic11C2×D414yes—
195C22×Dic11C2×D414yes—
196C22×Dic11C2×D414yes—
197C22×Dic11C2×D4116yes—
198C22×Dic11C2×D4116yes—
199C22×Dic11#4118yescomplemented
200C22×Dic11C2414yes—
201C22×Dic11C2412yes—
202C22×Dic11C2414yes—
203C22×Dic11C2412yes—
204C22×Dic11C2412yes—
205#4341—2256no—
206C2×C4×D11—232no—
207C2×C4×D11—28no—
208C2×C4×D11—28no—
209C2×C4×D11C22×C4116yescomplemented
210C2×Dic22—232no—
211C2×Dic22—28no—
212C2×Dic22—28no—
213C2×Dic22C22×C4116yescomplemented
214C11×C22⋊C4—28no—
215C11×C22⋊C4—216no—
216C22⋊Dic11—216no—
217C22⋊Dic11—28no—
218(C2×D11)⋊C4—216no—
219(C2×D11)⋊C4—216no—
220Dic11⋊C4—216no—
221C4×Dic11—216no—
222C4×Dic11—216no—
223C4×Dic11—216no—
224C23×#41—111no—
225C22×#117—111no—
226C23×C42—111no—
227#2297—1116no—
228C2×#391—112no—
229C2×#390—112no—
230C2×#386—111no—
231C2×#386—111no—
232C2×#386—111no—
233C2×#386D1111yescharacteristic, complemented
234C2×C4×C22⋊C4—112no—
235C2×C4×C22⋊C4—112no—
236C23×C11—216no—
237C23×C11—28no—
238C23×C11—28no—
239C23×C11—216no—
240C23×C11—24no—
241C23×C11—24no—
242C23×C11—28no—
243C23×C11—216no—
244C23×C11—22no—
245C23×C11—22no—
246C23×C11—24no—
247C23×C11—24no—
248C23×C11—44no—
249C23×C11—44no—
250C23×C11—48no—
251C23×C11C2×C22⋊C4116yes—
252C23×C11C23×C414yes—
253C23×C11C23×C414yes—
254C23×C11C23×C412yes—
255C23×C11C22×D414yes—
256C23×C11C22×D414yes—
257C23×C11C22×D412yes—
258C23×C11C22×D412yes—
259C23×C11C2×#4114yes—
260C23×C11C2×#4114yes—
261C23×C11C2511yescharacteristic
262C22×D11—28no—
263C22×D11—216no—
264C22×D11—22no—
265C22×D11—22no—
266C22×D11—24no—
267C22×D11—24no—
268C22×D11—44no—
269C22×D11—44no—
270C22×D11—48no—
271C22×D11C23×C414yes—
272D4×C11—232no—
273C2×C4×C11—232no—
274C2×C4×C11—28no—
275C2×C4×C11—216no—
276C2×C4×C11—24no—
277C2×C4×C11—22no—
278C2×C4×C11—22no—
279C2×C4×C11—24no—
280C2×C4×C11—24no—
281C2×C4×C11—24no—
282C2×C4×C11—24no—
283C2×C4×C11—48no—
284C2×C4×C11C23×C414yes—
285C2×C4×C11C2×#4118yescomplemented
286C22⋊D11—232no—
287C22⋊D11—232no—
288C2×Dic11—232no—
289C2×Dic11—28no—
290C2×Dic11—216no—
291C2×Dic11—24no—
292C2×Dic11—22no—
293C2×Dic11—22no—
294C2×Dic11—24no—
295C2×Dic11—232no—
296C2×Dic11—24no—
297C2×Dic11—24no—
298C2×Dic11—24no—
299C2×Dic11—48no—
300C2×Dic11C2×C22⋊C4116yes—
301C2×Dic11C2×C22⋊C4116yes—
302C2×Dic11C2×C22⋊C4164yescomplemented
303C2×Dic11C23×C414yes—
304C2×Dic11C23×C414yes—
305C2×Dic11C23×C414yes—
306C2×Dic11C22×D414yes—
307C2×Dic11C22×D414yes—
308C2×Dic11C22×D414yes—
309C2×Dic11C22×D414yes—
310C2×Dic11C2×#4118yescomplemented
311C4×D11—232no—
312Dic22—232no—
313C22×#41—118no—
314C22×#41—1116no—
315C22×#41—228no—
316C22×#41—228no—
317C23×Q8—111no—
318C23×D4—111no—
319C23×D4—111no—
320C23×D4C2×D1111yescharacteristic
321C24×C4—111no—
322C24×C4—111no—
323C24×C4—111no—
324C24×C4—111no—
325C24×C4C2×D1111yescharacteristic
326C2×#117—118no—
327C2×#117—228no—
328C22×C4⋊C4—112no—
329C22×C22⋊C4—111no—
330C22×C22⋊C4—112no—
331C22×C22⋊C4—112no—
332C22×C22⋊C4—112no—
333C22×C22⋊C4C2×D1111yescharacteristic
334C22×C22⋊C4C2×D1112yes—
335C22×C42—112no—
336C22×C42—112no—
337C22×C42—112no—
338C22×C42—118no—
339C22×C42—228no—
340#391—1116no—
341#390—1116no—
342#386—118no—
343#386—118no—
344#386—118no—
345#386C2×D1118yescomplemented
346C4×C22⋊C4—1116no—
347C4×C22⋊C4—1116no—
348C2×#95—112no—
349C2×#95—112no—
350C2×#95—112no—
351C2×#95C2×D1112yes—
352C22×C11—28no—
353C22×C11—24no—
354C22×C11—24no—
355C22×C11—28no—
356C22×C11—232no—
357C22×C11—24no—
358C22×C11—28no—
359C22×C11—42no—
360C22×C11—42no—
361C22×C11—44no—
362C22×C11—416no—
363C22×C11C22×C22⋊C418yes—
364C22×C11C22×C22⋊C414yes—
365C22×C11C4×#4118yes—
366C22×C11#52514yes—
367C22×C11#52514yes—
368C22×C11#53218yes—
369C22×C11C24×C411yescharacteristic
370C22×C11C23×D411yescharacteristic
371C22×C11C23×D411yescharacteristic
372C22×C11C22×#4112yes—
373C22×C11C22×#4112yes—
374C2×D11—24no—
375C2×D11—28no—
376C2×D11—42no—
377C2×D11—42no—
378C2×D11—44no—
379C2×D11—416no—
380C4×C11—24no—
381C4×C11—28no—
382C4×C11—44no—
383Dic11—24no—
384Dic11—28no—
385Dic11—44no—
386Dic11C22×C22⋊C418yes—
387Dic11C22×C22⋊C418yes—
388C25—111no—
389C25C22×D1111yescharacteristic
390C25C22×D1111yescharacteristic
391C2×#41—1164no—
392C2×#41—22128no—
393C2×#41—2232no—
394C2×#41—2232no—
395C22×Q8—118no—
396C22×Q8—114no—
397C22×Q8—224no—
398C22×Q8—224no—
399C22×D4—24no—
400C22×D4—24no—
401C22×D4—118no—
402C22×D4—118no—
403C22×D4—114no—
404C22×D4—114no—
405C22×D4—224no—
406C22×D4—224no—
407C22×D4—224no—
408C22×D4—224no—
409C22×D4C4×D1118yes—
410C22×D4C22×D1114yes—
411C23×C4—24no—
412C23×C4—28no—
413C23×C4—118no—
414C23×C4—118no—
415C23×C4—118no—
416C23×C4—114no—
417C23×C4—111no—
418C23×C4—111no—
419C23×C4—118no—
420C23×C4—114no—
421C23×C4—112no—
422C23×C4—111no—
423C23×C4—118no—
424C23×C4—114no—
425C23×C4—114no—
426C23×C4—112no—
427C23×C4—224no—
428C23×C4—224no—
429C23×C4—224no—
430C23×C4—224no—
431C23×C4—228no—
432C23×C4—224no—
433C23×C4C22×D1114yes—
434C23×C4C22×D1112yes—
435C23×C4C22×D1111yescharacteristic
436C23×C4C22×D1112yes—
437#117—2232no—
438C2×C4⋊C4—118no—
439C2×C4⋊C4—228no—
440C2×C22⋊C4—24no—
441C2×C22⋊C4—28no—
442C2×C22⋊C4—114no—
443C2×C22⋊C4—118no—
444C2×C22⋊C4—118no—
445C2×C22⋊C4—118no—
446C2×C22⋊C4—228no—
447C2×C22⋊C4—228no—
448C2×C22⋊C4—224no—
449C2×C22⋊C4—228no—
450C2×C22⋊C4C22×D1114yes—
451C2×C22⋊C4C22×D1118yes—
452C2×C42—118no—
453C2×C42—118no—
454C2×C42—118no—
455C2×C42—228no—
456C2×C42—228no—
457C2×C42—228no—
458C2×C42—2232no—
459#95—118no—
460#95—118no—
461#95—118no—
462#95C22×D1118yes—
463C2×C11—28no—
464C2×C11—44no—
465C2×C11#229718yescomplemented
466C2×C11C23×C22⋊C411yescharacteristic
467C2×C11C2×C4×#4112yes—
468C2×C11C2×#52511yescharacteristic
469C2×C11C2×#52511yescharacteristic
470C2×C11C2×#53212yes—
471D11—44no—
472C24—24no—
473C24—24no—
474C24—22no—
475C24—22no—
476C24—24no—
477C24—24no—
478C24—114no—
479C24—112no—
480C24—222no—
481C24—222no—
482C24—224no—
483C24—224no—
484C24C2×C4×D1114yes—
485C24C2×C4×D1114yes—
486C24D4×D1114yes—
487C24D4×D1114yes—
488C24C23×D1112yes—
489C24C23×D1112yes—
490C24C23×D1111yescharacteristic
491#41—22256no—
492C2×Q8—1116no—
493C2×Q8—2232no—
494C2×Q8—228no—
495C2×Q8—228no—
496C2×D4—232no—
497C2×D4—28no—
498C2×D4—28no—
499C2×D4—1116no—
500C2×D4—1116no—
501C2×D4—2232no—
502C2×D4—228no—
503C2×D4—228no—
504C2×D4—2232no—
505C2×D4—228no—
506C2×D4—228no—
507C2×D4C2×C4×D11116yes—
508C22×C4—232no—
509C22×C4—28no—
510C22×C4—24no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—24no—
514C22×C4—216no—
515C22×C4—24no—
516C22×C4—24no—
517C22×C4—24no—
518C22×C4—1164no—
519C22×C4—114no—
520C22×C4—114no—
521C22×C4—1116no—
522C22×C4—114no—
523C22×C4—114no—
524C22×C4—114no—
525C22×C4—1116no—
526C22×C4—114no—
527C22×C4—1116no—
528C22×C4—112no—
529C22×C4—112no—
530C22×C4—114no—
531C22×C4—1116no—
532C22×C4—118no—
533C22×C4—112no—
534C22×C4—114no—
535C22×C4—1116no—
536C22×C4—114no—
537C22×C4—2232no—
538C22×C4—228no—
539C22×C4—228no—
540C22×C4—2232no—
541C22×C4—228no—
542C22×C4—228no—
543C22×C4—2216no—
544C22×C4—2232no—
545C22×C4—228no—
546C22×C4—224no—
547C22×C4—222no—
548C22×C4—222no—
549C22×C4—224no—
550C22×C4—224no—
551C22×C4—224no—
552C22×C4—224no—
553C22×C4C2×C4×D1114yes—
554C22×C4#434118yescomplemented
555C22×C4C23×D1114yes—
556C22×C4C23×D1112yes—
557C22×C4C23×D1114yes—
558C4⋊C4—2216no—
559C22⋊C4—28no—
560C22⋊C4—216no—
561C22⋊C4—2216no—
562C22⋊C4—2216no—
563C22⋊C4—228no—
564C22⋊C4—2216no—
565C42—2216no—
566C42—2216no—
567C42—2216no—
568C11C2×#229711yescharacteristic, complemented, Sylow
569C23—216no—
570C23—28no—
571C23—216no—
572C23—28no—
573C23—24no—
574C23—24no—
575C23—28no—
576C23—216no—
577C23—22no—
578C23—22no—
579C23—24no—
580C23—24no—
581C23—44no—
582C23—48no—
583C23—44no—
584C23—114no—
585C23—228no—
586C23—2216no—
587C23—222no—
588C23—222no—
589C23—224no—
590C23—224no—
591C23—444no—
592C23—448no—
593C23—444no—
594C23C22⋊C4×D11116yes—
595C23C22×C4×D1114yes—
596C23C22×C4×D1114yes—
597C23C22×C4×D1112yes—
598C23C2×D4×D1114yes—
599C23C2×D4×D1114yes—
600C23C2×D4×D1112yes—
601C23C2×D4×D1112yes—
602C23C2×#434114yes—
603C23#41×D1114yes—
604C23C24×D1111yescharacteristic
605Q8—2232no—
606D4—232no—
607D4—2232no—
608D4—2232no—
609C2×C4—232no—
610C2×C4—28no—
611C2×C4—216no—
612C2×C4—24no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—24no—
616C2×C4—24no—
617C2×C4—24no—
618C2×C4—24no—
619C2×C4—48no—
620C2×C4—1116no—
621C2×C4—1116no—
622C2×C4—1164no—
623C2×C4—114no—
624C2×C4—114no—
625C2×C4—114no—
626C2×C4—114no—
627C2×C4—114no—
628C2×C4—114no—
629C2×C4—114no—
630C2×C4—118no—
631C2×C4—2232no—
632C2×C4—2232no—
633C2×C4—2232no—
634C2×C4—228no—
635C2×C4—2216no—
636C2×C4—224no—
637C2×C4—222no—
638C2×C4—222no—
639C2×C4—224no—
640C2×C4—224no—
641C2×C4—224no—
642C2×C4—224no—
643C2×C4—448no—
644C2×C4C22×C4×D1114yes—
645C2×C4C2×#434118yescomplemented
646C22—28no—
647C22—28no—
648C22—232no—
649C22—24no—
650C22—24no—
651C22—24no—
652C22—28no—
653C22—44no—
654C22—416no—
655C22—42no—
656C22—42no—
657C22—224no—
658C22—228no—
659C22—444no—
660C22—4416no—
661C22—442no—
662C22—442no—
663C22C2×C22⋊C4×D1118yes—
664C22C2×C22⋊C4×D1114yes—
665C22C4×#434118yes—
666C22#1062311714yes—
667C22#1062312718yes—
668C22#1062318714yes—
669C22C23×C4×D1111yescharacteristic
670C22C22×D4×D1111yescharacteristic
671C22C22×D4×D1111yescharacteristic
672C22C22×#434112yes—
673C22C2×#41×D1112yes—
674C4—24no—
675C4—28no—
676C4—44no—
677C4—118no—
678C4—118no—
679C4—224no—
680C4—228no—
681C4—444no—
682C2—28no—
683C2—44no—
684C2—444no—
685C2#1307110118yesdirect product factor
686C2C22×C22⋊C4×D1111yescharacteristic
687C2C2×C4×#434112yes—
688C2C2×#1062311711yescharacteristic
689C2C2×#1062318711yescharacteristic
690C2C2×#1062312712yes—
subgroupG/H
centerC24C23×D11
commutatorC22×C11C24×C4
FrattiniC23C24×D11
FittingC2×C11×#386C2
socleC24×C11C24
prime radicalC23×#4341C2
cosocleC23×C11C25
hypercenterC2×#386D11
hypocenterC11C2×#2297
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C24 ◁ C2×#386

Complements

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

NH ≅ G/Ntype
2. C22×#66930C2semidirect
3. C23×C4×Dic11C2semidirect
4. #13071101C2direct (N × H)
5. C2×#10622259C2semidirect
6. C2×#10622570C2semidirect
7. C2×#10622833C2semidirect
8. C2×#10622826C2semidirect
9. C2×#10622571C2semidirect
10. C2×C22⋊C4×Dic11C2semidirect
11. C2×#10622279C2semidirect
12. C2×C11×#386C2semidirect
22. C22×#4341C4semidirect
37. C22×C4×Dic11C22semidirect
39. C2×#66930C22semidirect
40. C11×#386C22semidirect
42. #10622833C22semidirect
43. #10622826C22semidirect
47. #10622571C22semidirect
48. #10622570C22semidirect
49. C22⋊C4×Dic11C22semidirect
50. #10622279C22semidirect
51. #10622259C22semidirect
70. C22×C22⋊D11C2×C4semidirect
78. C23×Dic11C2×C4semidirect
92. C2×#4341C2×C4semidirect
95. C22×C4×D11C2×C4semidirect
99. C22×Dic22C2×C4semidirect
162. C22×C4×C11#41semidirect
173. C2×C22⋊D11C22×C4semidirect
187. C22×Dic11C22⋊C4semidirect
192. C22×Dic11C22×C4semidirect
199. C22×Dic11#41semidirect
209. C2×C4×D11C22×C4semidirect
213. C2×Dic22C22×C4semidirect
233. C2×#386D11semidirect
285. C2×C4×C11C2×#41semidirect
302. C2×Dic11C2×C22⋊C4semidirect
310. C2×Dic11C2×#41semidirect
345. #386C2×D11semidirect
465. C2×C11#2297semidirect
554. C22×C4#4341semidirect
568. C11C2×#2297semidirect
645. C2×C4C2×#4341semidirect
685. C2#13071101direct (N × H)

Maximal subgroups

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

subgroupindex
C23×#43412
C22×#669302
C23×C4×Dic112
#130711012
C2×#106222592
C2×#106225702
C2×#106228332
C2×#106228262
C2×#106225712
C2×C22⋊C4×Dic112
C2×#106222792
C2×C11×#3862
C2×#229711