Finite Group Databasebeta

← C2×#21458656 #30559805

Subgroups — C2×#21458656 #30559805

Order 15616.

1810 conjugacy classes of subgroups.

The subgroup lattice has 700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840489C211yesmaximal, characteristic, complemented
2C2×#16840486C211yesmaximal, characteristic
3#21458656C2116yesmaximal, direct product factor
4C2×#16840123C211yesmaximal, characteristic
5C2×#16840118C211yesmaximal, characteristic
6C2×#16840071C211yesmaximal, characteristic, complemented
7C2×#16840055C211yesmaximal, characteristic, complemented
8C2×#16840059C211yesmaximal, characteristic
9C2×#16839987C211yesmaximal, characteristic
10C2×#16839987C211yesmaximal, characteristic
11C2×#16839969C211yesmaximal, characteristic, complemented
12C2×#16839890C211yesmaximal, characteristic, complemented
13C2×#16839866C211yesmaximal, characteristic, complemented
14C2×#16839864C211yesmaximal, characteristic
15C2×#16839854C211yesmaximal, characteristic, complemented
16C2×C61×#491C211yesmaximal, characteristic, complemented
17C22×#11758202C2211yescharacteristic
18C22×#11758202C2211yescharacteristic
19C22×#11758190C2211yescharacteristic
20#16840489—24no—
21#16840489C2218yescomplemented
22#16840486—24no—
23#16840486C2218yes—
24C2×#14519776—21no—
25C2×#14519776C2211yescharacteristic
26C2×#14519772—21no—
27C2×#14519772—21no—
28C2×#14519768C2211yescharacteristic
29C2×#14519767—21no—
30C2×#14519767—21no—
31C2×#14519766C2211yescharacteristic
32C2×#14519766C2211yescharacteristic
33C2×#14519757—21no—
34C2×Q8×Dic61C2211yescharacteristic
35C2×Q8×Dic61C2211yescharacteristic
36C2×C4×Dic122C2211yescharacteristic
37C2×C4×Dic122C2211yescharacteristic
38C2×#14519742—21no—
39C2×#14519742C2211yescharacteristic
40C2×#14519742C2211yescharacteristic
41C2×C4×D244C2211yescharacteristic
42C2×#14519735—21no—
43#16840123C2218yes—
44#16840118C2218yes—
45#16840071C2218yescomplemented
46#16840059C2218yes—
47#16840055C2218yescomplemented
48#16839987C2218yes—
49#16839987C2218yes—
50#16839969C2218yescomplemented
51#16839890C2218yescomplemented
52#16839866C2218yescomplemented
53#16839864C2218yes—
54#16839854C2218yescomplemented
55C2×#14519711C2211yescharacteristic
56C2×#14519710C2211yescharacteristic
57C2×#14519708C2211yescharacteristic
58C2×C4⋊#92418C2211yescharacteristic
59C2×#14519706C2211yescharacteristic
60C2×#14519706C2211yescharacteristic
61C2×#14519702C2211yescharacteristic
62C2×#14519701C2211yescharacteristic
63C2×#14519701C2211yescharacteristic
64C2×#14519699C2211yescharacteristic
65C2×#14519697C2211yescharacteristic
66C2×#14519697C2211yescharacteristic
67C2×#14519687C2211yescharacteristic
68C2×C8×Dic61C2211yescharacteristic
69C2×C4⋊Q8×C61C2211yescharacteristic
70C2×#125×C61C2211yescharacteristic
71C61×#491C2218yescomplemented
72C2×#103×C61C2211yescharacteristic
73C2×#103×C61C2211yescharacteristic
74C2×#103×C61C2211yescharacteristic
75C2×#103×C61C2211yescharacteristic
76C2×#97×C61C2211yescharacteristic
77C22×Dic122—21no—
78C22×Dic122D411yescharacteristic
79C22×Dic122C2311yescharacteristic
80C22×D244C2311yescharacteristic
81C22×C4×D61—21no—
82C2×#11758202—24no—
83C2×#11758202—24no—
84C2×#11758202C2314yes—
85C2×#11758202C2314yes—
86C2×#11758190—24no—
87C2×#11758190C2314yes—
88C22×#92418C2311yescharacteristic
89C22×#92418C2311yescharacteristic
90#14519776—28no—
91#14519776—22no—
92#14519776C2314yes—
93#14519772—28no—
94#14519772—28no—
95#14519768—22no—
96#14519768C2314yes—
97#14519767—28no—
98#14519767—28no—
99#14519766—22no—
100#14519766—22no—
101#14519766C2314yes—
102#14519766C2314yes—
103#14519757—28no—
104Q8×Dic61—22no—
105Q8×Dic61—22no—
106Q8×Dic61C2314yes—
107Q8×Dic61C2314yes—
108C4×Dic122—22no—
109C4×Dic122D414yes—
110C4×Dic122C2314yes—
111C4×Dic122C2314yes—
112#14519742—28no—
113#14519742—22no—
114#14519742—22no—
115#14519742C2314yes—
116#14519742C2314yes—
117C4×D244—22no—
118C4×D244C2314yes—
119#14519735—28no—
120C2×C4⋊Dic61—21no—
121C2×C4⋊Dic61—21no—
122C2×C4⋊Dic61—21no—
123C2×C4⋊Dic61D411yescharacteristic
124C2×C4⋊Dic61C2311yescharacteristic
125C2×C4⋊Dic61C2311yescharacteristic
126C2×#11758196—21no—
127C2×#11758196—21no—
128C2×#11758196—21no—
129C2×#11758196—21no—
130C2×#11758196—21no—
131C2×#11758196D411yescharacteristic
132C2×#11758196D411yescharacteristic
133C2×#11758198—21no—
134C2×#11758198—21no—
135C2×#11758198—21no—
136C2×#11758198—21no—
137C2×#11758198—21no—
138C2×C4×Dic61—21no—
139C2×C4×Dic61—21no—
140C2×C4×Dic61—21no—
141C2×C4×Dic61—21no—
142C2×C4×Dic61—21no—
143C2×C4×Dic61C2311yescharacteristic
144C2×C4×Dic61C2311yescharacteristic
145#14519711C2314yes—
146#14519710C2314yes—
147#14519708C2314yes—
148C4⋊#92418C2314yes—
149#14519706C2314yes—
150#14519706C2314yes—
151#14519702C2314yes—
152#14519701C2314yes—
153#14519701C2314yes—
154#14519699C2314yes—
155#14519697C2314yes—
156#14519697C2314yes—
157#14519687C2314yes—
158C8×Dic61C2314yes—
159C22×Q8×C61C2311yescharacteristic
160C22×Q8×C61C2311yescharacteristic
161C22×C8×C61C2311yescharacteristic
162C22×C8×C61C2311yescharacteristic
163C4⋊Q8×C61—22no—
164C4⋊Q8×C61C2314yes—
165#125×C61—22no—
166#125×C61C2314yes—
167C2×C4⋊C4×C61—21no—
168C2×C4⋊C4×C61—21no—
169C2×C4⋊C4×C61—21no—
170C2×C4⋊C4×C61—21no—
171C2×C4⋊C4×C61C2311yescharacteristic
172C2×C4⋊C4×C61C2311yescharacteristic
173C2×C42×C61C2311yescharacteristic
174#103×C61C2314yes—
175#103×C61C2314yes—
176#103×C61C2314yes—
177#103×C61C2314yes—
178#97×C61C2314yes—
179C23×D61—21no—
180C2×Q8×C61—21no—
181C2×Q8×C61—21no—
182C2×Q8×C61—22no—
183C2×Q8×C61—22no—
184C2×Q8×C61—22no—
185C2×Q8×C61—22no—
186C2×Q8×C61C2412yes—
187C2×Q8×C61C2412yes—
188C22×C4×C61—21no—
189C22×C4×C61—21no—
190C22×C4×C61—21no—
191C22×C4×C61—21no—
192C22×C4×C61C2×D411yescharacteristic
193C22×C4×C61C2×D411yescharacteristic
194C22×C4×C61C2411yescharacteristic
195C22×Dic61—21no—
196C22×Dic61—21no—
197C22×Dic61—21no—
198C22×Dic61C2×D411yescharacteristic
199C22×Dic61C2×D411yescharacteristic
200C22×Dic61C2×D411yescharacteristic
201C22×Dic61C2×D411yescharacteristic
202C2×D244—22no—
203C2×D244—22no—
204C2×D244—21no—
205C2×D244C2412yes—
206C2×C4×D61—24no—
207C2×C4×D61—44no—
208C2×Dic122—21no—
209C2×Dic122—22no—
210C2×Dic122—24no—
211C2×Dic122—42no—
212C2×Dic122—44no—
213C2×Dic122C2×D414yes—
214C2×Dic122#4114yes—
215C2×Dic122C2412yes—
216C2×C8×C61—22no—
217C2×C8×C61—22no—
218C2×C8×C61C2412yes—
219C2×C8×C61C2412yes—
220C4⋊C4×C61—24no—
221C4⋊C4×C61—24no—
222C4⋊C4×C61—24no—
223C4⋊C4×C61—24no—
224C4⋊C4×C61—21no—
225C4⋊C4×C61—21no—
226C4⋊C4×C61C2412yes—
227C4⋊C4×C61C2412yes—
228C42×C61C2×D412yes—
229C42×C61C2412yes—
230#11758202—28no—
231#11758202—28no—
232#11758198—24no—
233#11758198—24no—
234#11758198—24no—
235#11758198—24no—
236#11758198—24no—
237C4⋊Dic61—21no—
238C4⋊Dic61—21no—
239C4⋊Dic61—24no—
240C4⋊Dic61—24no—
241C4⋊Dic61—24no—
242C4⋊Dic61C2×D414yes—
243C4⋊Dic61C2412yes—
244C4⋊Dic61C2412yes—
245#11758196—24no—
246#11758196—24no—
247#11758196—24no—
248#11758196—24no—
249#11758196—24no—
250#11758196C2×D414yes—
251#11758196C2×D414yes—
252C4×Dic61—24no—
253C4×Dic61—24no—
254C4×Dic61—24no—
255C4×Dic61—24no—
256C4×Dic61—24no—
257C4×Dic61C2×D412yes—
258C4×Dic61C2×D412yes—
259C4×Dic61C2412yes—
260C4×Dic61C2412yes—
261C2×#92418—22no—
262C2×#92418—22no—
263C2×#92418C2412yes—
264C2×#92418C2412yes—
265#11758190—28no—
266C23×C61C22×D411yescharacteristic
267C22×D61—22no—
268C22×D61—42no—
269C22×D61—42no—
270C22×D61—42no—
271Q8×C61—22no—
272Q8×C61—22no—
273Q8×C61—22no—
274Q8×C61—22no—
275Q8×C61—42no—
276Q8×C61—42no—
277C2×C4×C61—22no—
278C2×C4×C61—22no—
279C2×C4×C61—22no—
280C2×C4×C61—22no—
281C2×C4×C61—22no—
282C2×C4×C61—22no—
283C2×C4×C61—42no—
284C2×C4×C61—42no—
285C2×C4×C61—42no—
286C2×C4×C61—42no—
287C2×C4×C61C22×D412yes—
288C2×C4×C61C22×D412yes—
289C2×C4×C61C22×D411yescharacteristic
290C2×C4×C61C2×#4112yes—
291C2×C4×C612−1+412yes—
292C2×C4×C61C2511yescharacteristic
293C2×Dic61—24no—
294C2×Dic61—22no—
295C2×Dic61—22no—
296C2×Dic61—22no—
297C2×Dic61—22no—
298C2×Dic61—22no—
299C2×Dic61—22no—
300C2×Dic61—22no—
301C2×Dic61—42no—
302C2×Dic61—42no—
303C2×Dic61C22×D412yes—
304C2×Dic61C22×D412yes—
305C2×Dic61C22×D412yes—
306C2×Dic61C22×D412yes—
307D244—22no—
308D244—22no—
309D244—42no—
310C4×D61—48no—
311Dic122—24no—
312Dic122—22no—
313Dic122—44no—
314Dic122—48no—
315Dic122C2×#4114yes—
316C8×C61—22no—
317C8×C61—22no—
318#92418—22no—
319#92418—22no—
320C2×#3377—611nomaximal, Sylow
321C22×C61#54812yes—
322C22×C61#57512yes—
323C22×C61#57812yes—
324C22×C61C23×D411yescharacteristic
325C2×D61—42no—
326C2×D61—42no—
327C2×D61—42no—
328C2×D61—84no—
329C4×C61—22no—
330C4×C61—22no—
331C4×C61—42no—
332C4×C61—42no—
333C4×C61—42no—
334C4×C61—42no—
335C4×C61#54812yes—
336C4×C61C22×#4111yescharacteristic
337C4×C61C2×2−1+411yescharacteristic
338Dic61—24no—
339Dic61—22no—
340Dic61—22no—
341Dic61—22no—
342Dic61—22no—
343Dic61—42no—
344Dic61—42no—
345C2×#557—611no—
346C2×#556—611no—
347#3377—6116no—
348C2×#491D6111yescharacteristic, complemented
349C2×#489—611no—
350C2×#488—611no—
351C2×#479—611no—
352C2×#477—611no—
353C2×#478—611no—
354C2×#464—611no—
355C2×#464—611no—
356C2×#462—611no—
357C2×#446—611no—
358C2×#441—611no—
359C2×#440—611no—
360C2×C4×Q16—611no—
361C2×C61#337714yescomplemented
362C2×C61C2×#54811yescharacteristic
363C2×C61C2×#57511yescharacteristic
364C2×C61C2×#57811yescharacteristic
365D61—82no—
366C22×Q16—611no—
367C22×Q16—611no—
368C22×SD16—611no—
369#557—618no—
370#557—1224no—
371#556—618no—
372#556—1224no—
373C2×C4⋊Q8—611no—
374C2×C4⋊Q8—1221no—
375C2×C4⋊Q8C2×D6111yescharacteristic
376C2×#126—1221no—
377C2×#126—1221no—
378C2×#125—611no—
379C2×#125—1221no—
380C2×#125—1221no—
381C2×#125C2×D6111yescharacteristic
382C2×#124—611no—
383C2×#124—611no—
384C2×C22⋊Q8—1221no—
385C2×C4×Q8—611no—
386C2×C4×Q8—611no—
387C2×C4×Q8—611no—
388C2×C4×Q8—611no—
389C2×C4×Q8—611no—
390C2×C4×Q8—611no—
391C2×C4×Q8—1221no—
392C2×C4×D4—611no—
393C2×#117—1221no—
394#491C2×D6118yescomplemented
395#489—618no—
396#488—618no—
397#479—618no—
398#478—618no—
399#477—618no—
400#464—618no—
401#464—618no—
402#462—618no—
403#446—618no—
404#441—618no—
405#440—618no—
406C4×Q16—618no—
407C2×#107—611no—
408C2×#107—611no—
409C2×#106—611no—
410C2×C4⋊C8—611no—
411C2×C4⋊C8—611no—
412C2×C4⋊C8—611no—
413C2×#103—611no—
414C2×#103—611no—
415C2×#103—611no—
416C2×#103C2×D6111yescharacteristic
417C2×#103C2×D6111yescharacteristic
418C2×#103C2×D6111yescharacteristic
419C2×#103C2×D6111yescharacteristic
420C2×#102—611no—
421C2×#102—611no—
422C2×#102—611no—
423C2×#97—611no—
424C2×#97C2×D6111yescharacteristic
425C2×C4×C8—611no—
426C61C2×#337711yescharacteristic, complemented, Sylow
427C22×Q8—611no—
428C22×Q8—611no—
429C22×Q8—1221no—
430C22×Q8C22×D6111yescharacteristic
431C22×Q8C22×D6111yescharacteristic
432C22×D4—611no—
433C23×C4—1221no—
434C2×Q16—614no—
435C2×Q16—614no—
436C2×Q16—1224no—
437C2×Q16—1224no—
438C2×SD16—614no—
439C2×SD16—1224no—
440C22×C8—611no—
441C22×C8—611no—
442C22×C8C22×D6111yescharacteristic
443C22×C8C22×D6111yescharacteristic
444C4⋊Q8—22no—
445C4⋊Q8—614no—
446C4⋊Q8—1222no—
447C4⋊Q8—1228no—
448C4⋊Q8C22×D6114yes—
449#126—1228no—
450#126—1228no—
451#125—22no—
452#125—614no—
453#125—1222no—
454#125—1228no—
455#125—1228no—
456#125C22×D6114yes—
457#124—614no—
458#124—614no—
459#124—1222no—
460#124—1222no—
461C22⋊Q8—1228no—
462C4×Q8—614no—
463C4×Q8—614no—
464C4×Q8—614no—
465C4×Q8—614no—
466C4×Q8—614no—
467C4×Q8—614no—
468C4×Q8—614no—
469C4×Q8—1222no—
470C4×Q8—1222no—
471C4×Q8—1222no—
472C4×Q8—1222no—
473C4×Q8—1228no—
474C4×Q8—1222no—
475C4×D4—614no—
476C4×D4—1222no—
477#117—1228no—
478C2×C4⋊C4—21no—
479C2×C4⋊C4—21no—
480C2×C4⋊C4—21no—
481C2×C4⋊C4—21no—
482C2×C4⋊C4—611no—
483C2×C4⋊C4—611no—
484C2×C4⋊C4—611no—
485C2×C4⋊C4—611no—
486C2×C4⋊C4—611no—
487C2×C4⋊C4—1221no—
488C2×C4⋊C4—1221no—
489C2×C4⋊C4—1221no—
490C2×C4⋊C4—1221no—
491C2×C4⋊C4—1221no—
492C2×C4⋊C4—1221no—
493C2×C4⋊C4—1221no—
494C2×C4⋊C4—1221no—
495C2×C4⋊C4C22×D6111yescharacteristic
496C2×C4⋊C4C22×D6111yescharacteristic
497C2×C22⋊C4—1221no—
498C2×C22⋊C4—1221no—
499C2×C22⋊C4—1221no—
500C2×C22⋊C4—1221no—
501C2×C22⋊C4—1221no—
502C2×C42—611no—
503C2×C42—611no—
504C2×C42—1221no—
505C2×C42—1221no—
506C2×C42—1221no—
507C2×C42—1221no—
508C2×C42—1221no—
509C2×C42C22×D6111yescharacteristic
510#107—614no—
511#107—614no—
512#106—614no—
513C4⋊C8—614no—
514C4⋊C8—614no—
515C4⋊C8—614no—
516#103—614no—
517#103—614no—
518#103—614no—
519#103C22×D6114yes—
520#103C22×D6114yes—
521#103C22×D6114yes—
522#103C22×D6114yes—
523#102—614no—
524#102—614no—
525#102—614no—
526#97—614no—
527#97C22×D6114yes—
528C4×C8—614no—
529C24—1221no—
530C2×Q8—21no—
531C2×Q8—21no—
532C2×Q8—22no—
533C2×Q8—22no—
534C2×Q8—22no—
535C2×Q8—22no—
536C2×Q8—614no—
537C2×Q8—614no—
538C2×Q8—612no—
539C2×Q8—1224no—
540C2×Q8—1221no—
541C2×Q8—1222no—
542C2×Q8—2442no—
543C2×Q8—2444no—
544C2×Q8C23×D6112yes—
545C2×Q8C23×D6112yes—
546C2×D4—612no—
547C2×D4—1221no—
548C2×D4—1222no—
549C2×D4—1222no—
550C22×C4—21no—
551C22×C4—21no—
552C22×C4—21no—
553C22×C4—21no—
554C22×C4—611no—
555C22×C4—611no—
556C22×C4—611no—
557C22×C4—611no—
558C22×C4—1221no—
559C22×C4—1221no—
560C22×C4—1221no—
561C22×C4—1224no—
562C22×C4—2444no—
563C22×C4D4×D6111yescharacteristic
564C22×C4D4×D6111yescharacteristic
565C22×C4C23×D6111yescharacteristic
566Q16—1228no—
567Q16—1228no—
568SD16—1228no—
569C2×C8—22no—
570C2×C8—22no—
571C2×C8—612no—
572C2×C8—612no—
573C2×C8—1222no—
574C2×C8—1222no—
575C2×C8C23×D6112yes—
576C2×C8C23×D6112yes—
577C4⋊C4—24no—
578C4⋊C4—24no—
579C4⋊C4—24no—
580C4⋊C4—24no—
581C4⋊C4—21no—
582C4⋊C4—21no—
583C4⋊C4—614no—
584C4⋊C4—614no—
585C4⋊C4—614no—
586C4⋊C4—612no—
587C4⋊C4—612no—
588C4⋊C4—1224no—
589C4⋊C4—1224no—
590C4⋊C4—1224no—
591C4⋊C4—1224no—
592C4⋊C4—1224no—
593C4⋊C4—1224no—
594C4⋊C4—1224no—
595C4⋊C4—1221no—
596C4⋊C4—1221no—
597C4⋊C4—1224no—
598C4⋊C4C23×D6112yes—
599C4⋊C4C23×D6112yes—
600C22⋊C4—1224no—
601C22⋊C4—1224no—
602C22⋊C4—1224no—
603C22⋊C4—1224no—
604C22⋊C4—1224no—
605C42—612no—
606C42—612no—
607C42—612no—
608C42—612no—
609C42—1224no—
610C42—1224no—
611C42—1224no—
612C42—1224no—
613C42—1224no—
614C42D4×D6112yes—
615C42C23×D6112yes—
616C23—1222no—
617C23—2442no—
618C23—2442no—
619C23—2442no—
620C23C2×D4×D6111yescharacteristic
621Q8—22no—
622Q8—22no—
623Q8—22no—
624Q8—22no—
625Q8—42no—
626Q8—42no—
627Q8—614no—
628Q8—1222no—
629Q8—1224no—
630Q8—2444no—
631Q8—2448no—
632D4—1222no—
633D4—1222no—
634D4—2442no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—42no—
642C2×C4—42no—
643C2×C4—42no—
644C2×C4—42no—
645C2×C4—612no—
646C2×C4—612no—
647C2×C4—612no—
648C2×C4—612no—
649C2×C4—1222no—
650C2×C4—1222no—
651C2×C4—1222no—
652C2×C4—1222no—
653C2×C4—1222no—
654C2×C4—1224no—
655C2×C4—1222no—
656C2×C4—1222no—
657C2×C4—2448no—
658C2×C4—2442no—
659C2×C4—2442no—
660C2×C4C2×D4×D6112yes—
661C2×C4C2×D4×D6112yes—
662C2×C4C2×D4×D6111yescharacteristic
663C2×C4#41×D6112yes—
664C2×C4#1451982412yes—
665C2×C4C24×D6111yescharacteristic
666C8—22no—
667C8—22no—
668C8—1222no—
669C8—1222no—
670C22—4884no—
671C22—2442no—
672C22—2442no—
673C22—2442no—
674C22#1684042012yes—
675C22#1684056112yes—
676C22#1684057812yes—
677C22C22×D4×D6111yescharacteristic
678C4—22no—
679C4—22no—
680C4—42no—
681C4—42no—
682C4—42no—
683C4—42no—
684C4—1224no—
685C4—1222no—
686C4—1222no—
687C4—1222no—
688C4—1222no—
689C4—2442no—
690C4—2442no—
691C4#1684042012yes—
692C4C2×#41×D6111yescharacteristic
693C4C2×#1451982411yescharacteristic
694C2—4882no—
695C2#2145865614yesdirect product factor
696C2C2×#1684042011yescharacteristic
697C2C2×#1684056111yescharacteristic
698C2C2×#1684057811yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC2×C61×#491C2
socleC23×C61C22×D4
prime radicalC22×D244C23
hypercenterC2×#491D61
hypocenterC61C2×#3377
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#491

Complements

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

NH ≅ G/Ntype
1. C2×#16840489C2semidirect
3. #21458656C2direct (N × H)
6. C2×#16840071C2semidirect
7. C2×#16840055C2semidirect
11. C2×#16839969C2semidirect
12. C2×#16839890C2semidirect
13. C2×#16839866C2semidirect
15. C2×#16839854C2semidirect
16. C2×C61×#491C2semidirect
21. #16840489C22semidirect
45. #16840071C22semidirect
47. #16840055C22semidirect
50. #16839969C22semidirect
51. #16839890C22semidirect
52. #16839866C22semidirect
54. #16839854C22semidirect
71. C61×#491C22semidirect
348. C2×#491D61semidirect
361. C2×C61#3377semidirect
394. #491C2×D61semidirect
426. C61C2×#3377semidirect
695. C2#21458656direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#168404892
C2×#168404862
#214586562
C2×#168401232
C2×#168401182
C2×#168400712
C2×#168400552
C2×#168400592
C2×#168399872
C2×#168399692
C2×#168398902
C2×#168398662
C2×#168398642
C2×#168398542
C2×C61×#4912
C2×#337761