Finite Group Databasebeta

← C2×#21457103 #30552235

Subgroups — C2×#21457103 #30552235

Order 15616.

1742 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840392C211yesmaximal, characteristic, complemented
2C2×#16840386C211yesmaximal, characteristic
3#21457103C2116yesmaximal, direct product factor
4C2×#16840165C211yesmaximal, characteristic, complemented
5C2×#16840122C211yesmaximal, characteristic, complemented
6C2×#16840119C211yesmaximal, characteristic, complemented
7C2×#16840099C211yesmaximal, characteristic, complemented
8C2×#16840106C211yesmaximal, characteristic, complemented
9C2×#16840088C211yesmaximal, characteristic
10C2×#16840077C211yesmaximal, characteristic
11C2×#16840072C211yesmaximal, characteristic, complemented
12C2×#16840056C211yesmaximal, characteristic, complemented
13C2×#16840061C211yesmaximal, characteristic, complemented
14C2×#16840041C211yesmaximal, characteristic, complemented
15C2×#16839824C211yesmaximal, characteristic, complemented
16C2×C61×#501C211yesmaximal, characteristic, complemented
17#16840392—24no—
18#16840392C2218yescomplemented
19#16840386—24no—
20#16840386C2218yes—
21C2×#14519777C2211yescharacteristic
22C2×#14519776—21no—
23C2×#14519776C2211yescharacteristic
24C2×#14519772—21no—
25C2×#14519768C2211yescharacteristic
26C2×#14519767—21no—
27C2×#14519766—21no—
28C2×#14519765C2211yescharacteristic
29C2×#14519762—21no—
30C2×#14519757—21no—
31C2×#14519757C2211yescharacteristic
32C2×#14519755—21no—
33C2×#14519753—21no—
34C2×#14519752C2211yescharacteristic
35C2×#14519742C2211yescharacteristic
36C2×#14519739C2211yescharacteristic
37C2×#14519735C2211yescharacteristic
38C2×#14519734C2211yescharacteristic
39C2×C4⋊C4×D61C2211yescharacteristic
40#16840165C2218yescomplemented
41#16840122C2218yescomplemented
42#16840119C2218yescomplemented
43#16840106C2218yescomplemented
44#16840099C2218yescomplemented
45#16840088C2218yes—
46#16840077C2218yes—
47#16840072C2218yescomplemented
48#16840061C2218yescomplemented
49#16840056C2218yescomplemented
50#16840041C2218yescomplemented
51#16839824C2218yescomplemented
52C2×#14519710C2211yescharacteristic
53C2×#14519710C2211yescharacteristic
54C2×#14519710C2211yescharacteristic
55C2×#14519710C2211yescharacteristic
56C2×#14519706C2211yescharacteristic
57C2×#14519706C2211yescharacteristic
58C2×#14519702C2211yescharacteristic
59C2×#14519702C2211yescharacteristic
60C2×#14519700C2211yescharacteristic
61C2×#14519700C2211yescharacteristic
62C2×#14519699C2211yescharacteristic
63C2×#14519699C2211yescharacteristic
64C2×#14519697C2211yescharacteristic
65C2×#14519697C2211yescharacteristic
66C2×#14519689C2211yescharacteristic
67C2×#14519689C2211yescharacteristic
68C2×C4×#92418C2211yescharacteristic
69C2×C4⋊Q8×C61C2211yescharacteristic
70C2×#125×C61C2211yescharacteristic
71C61×#501C2218yescomplemented
72C2×#107×C61C2211yescharacteristic
73C2×#107×C61C2211yescharacteristic
74C2×#106×C61C2211yescharacteristic
75C2×#106×C61C2211yescharacteristic
76C2×#97×C61C2211yescharacteristic
77C22×Dic122—21no—
78C22×Dic122—21no—
79C22×Dic122C2311yescharacteristic
80C22×D244—21no—
81C22×D244C2311yescharacteristic
82C22×C4×D61—21no—
83C22×C4×D61—21no—
84C22×C4×D61C2311yescharacteristic
85C22×#92418C2311yescharacteristic
86C22×#92418C2311yescharacteristic
87#14519777—22no—
88#14519777C2314yes—
89#14519776—28no—
90#14519776—22no—
91#14519776C2314yes—
92#14519772—28no—
93#14519768—22no—
94#14519768C2314yes—
95#14519767—28no—
96#14519766—28no—
97#14519765—22no—
98#14519765C2314yes—
99#14519762—28no—
100#14519757—22no—
101#14519757—28no—
102#14519757C2314yes—
103#14519755—28no—
104#14519753—28no—
105#14519752—22no—
106#14519752C2314yes—
107#14519742—22no—
108#14519742C2314yes—
109#14519739—22no—
110#14519739C2314yes—
111#14519735—22no—
112#14519735C2314yes—
113#14519734D414yes—
114#14519734C2314yes—
115C2×C4⋊Dic61—21no—
116C2×C4⋊Dic61—21no—
117C2×C4⋊Dic61—21no—
118C2×C4⋊Dic61C2311yescharacteristic
119C2×C4⋊Dic61C2311yescharacteristic
120C2×#11758196—21no—
121C2×#11758196—21no—
122C2×#11758196—21no—
123C2×#11758196—21no—
124C2×#11758196D411yescharacteristic
125C2×#11758196D411yescharacteristic
126C4⋊C4×D61—22no—
127C4⋊C4×D61C2314yes—
128C2×#11758198—21no—
129C2×#11758198—21no—
130C2×#11758198—21no—
131C2×#11758198—21no—
132C2×#11758198—21no—
133C2×#11758198—21no—
134C2×#11758198D411yescharacteristic
135C2×#11758198D411yescharacteristic
136C2×C4×Dic61—21no—
137C2×C4×Dic61—21no—
138C2×C4×Dic61C2311yescharacteristic
139#14519710C2314yes—
140#14519710C2314yes—
141#14519710C2314yes—
142#14519710C2314yes—
143#14519706C2314yes—
144#14519706C2314yes—
145#14519702C2314yes—
146#14519702C2314yes—
147#14519700C2314yes—
148#14519700C2314yes—
149#14519699C2314yes—
150#14519699C2314yes—
151#14519697C2314yes—
152#14519697C2314yes—
153#14519689C2314yes—
154#14519689C2314yes—
155C4×#92418C2314yes—
156C22×Q8×C61—21no—
157C22×C8×C61C2311yescharacteristic
158C22×C8×C61C2311yescharacteristic
159C4⋊Q8×C61—22no—
160C4⋊Q8×C61C2314yes—
161#125×C61—22no—
162#125×C61C2314yes—
163C2×C4⋊C4×C61—21no—
164C2×C4⋊C4×C61—21no—
165C2×C4⋊C4×C61—21no—
166C2×C4⋊C4×C61C2311yescharacteristic
167C2×C4⋊C4×C61C2311yescharacteristic
168C2×C4⋊C4×C61C2311yescharacteristic
169C2×C4⋊C4×C61C2311yescharacteristic
170C2×C42×C61C2311yescharacteristic
171#107×C61C2314yes—
172#107×C61C2314yes—
173#106×C61C2314yes—
174#106×C61C2314yes—
175#97×C61C2314yes—
176C23×D61—21no—
177C23×D61C2×D411yescharacteristic
178C2×Q8×C61—24no—
179C2×Q8×C61—82no—
180C22×C4×C61—21no—
181C22×C4×C61—21no—
182C22×C4×C61—21no—
183C22×C4×C61—21no—
184C22×C4×C61C2×D411yescharacteristic
185C22×C4×C61C2×D411yescharacteristic
186C22×C4×C61C2411yescharacteristic
187C22×Dic61—21no—
188C22×Dic61—21no—
189C22×Dic61—21no—
190C22×Dic61C2×D411yescharacteristic
191C22×Dic61C2×D411yescharacteristic
192C22×Dic61C2×D411yescharacteristic
193C2×D244—22no—
194C2×D244—22no—
195C2×D244—21no—
196C2×D244—24no—
197C2×D244—82no—
198C2×D244C2412yes—
199C2×C4×D61—22no—
200C2×C4×D61—22no—
201C2×C4×D61—24no—
202C2×C4×D61—24no—
203C2×C4×D61—82no—
204C2×C4×D61—82no—
205C2×C4×D61C2×D412yes—
206C2×C4×D61C2412yes—
207C2×Dic122—22no—
208C2×Dic122—22no—
209C2×Dic122—21no—
210C2×Dic122—24no—
211C2×Dic122—24no—
212C2×Dic122—82no—
213C2×Dic122—82no—
214C2×Dic122C2412yes—
215C2×C8×C61—22no—
216C2×C8×C61—22no—
217C2×C8×C61C2412yes—
218C2×C8×C61C2412yes—
219C4⋊C4×C61—24no—
220C4⋊C4×C61—24no—
221C4⋊C4×C61—24no—
222C4⋊C4×C61—21no—
223C4⋊C4×C61—21no—
224C4⋊C4×C61—21no—
225C4⋊C4×C61—21no—
226C4⋊C4×C61C2412yes—
227C4⋊C4×C61C2412yes—
228C4⋊C4×C61C2412yes—
229C4⋊C4×C61C2412yes—
230C42×C61C2×D412yes—
231C42×C61C2412yes—
232#11758198—24no—
233#11758198—24no—
234#11758198—24no—
235#11758198—24no—
236#11758198—24no—
237#11758198—24no—
238#11758198C2×D414yes—
239#11758198C2×D414yes—
240C4⋊Dic61—21no—
241C4⋊Dic61—24no—
242C4⋊Dic61—21no—
243C4⋊Dic61—24no—
244C4⋊Dic61—24no—
245C4⋊Dic61C2412yes—
246C4⋊Dic61C2412yes—
247#11758196—24no—
248#11758196—24no—
249#11758196—24no—
250#11758196—24no—
251#11758196C2×D414yes—
252#11758196C2×D414yes—
253C4×Dic61—24no—
254C4×Dic61—24no—
255C4×Dic61C2×D412yes—
256C4×Dic61C2412yes—
257C2×#92418—22no—
258C2×#92418—22no—
259C2×#92418C2412yes—
260C2×#92418C2412yes—
261C23×C61C22×D411yescharacteristic
262C22×D61—22no—
263C22×D61—22no—
264C22×D61—22no—
265C22×D61—22no—
266C22×D61—42no—
267C22×D61—42no—
268C22×D61—42no—
269C22×D61C22×D412yes—
270Q8×C61—84no—
271C2×C4×C61—22no—
272C2×C4×C61—22no—
273C2×C4×C61—22no—
274C2×C4×C61—22no—
275C2×C4×C61—22no—
276C2×C4×C61—22no—
277C2×C4×C61—42no—
278C2×C4×C61—42no—
279C2×C4×C61—42no—
280C2×C4×C61—42no—
281C2×C4×C61C22×D412yes—
282C2×C4×C61C22×D412yes—
283C2×C4×C61C22×D411yescharacteristic
284C2×C4×C612−1+412yes—
285C2×C4×C612−1+412yes—
286C2×C4×C61C2511yescharacteristic
287C2×Dic61—22no—
288C2×Dic61—22no—
289C2×Dic61—22no—
290C2×Dic61—22no—
291C2×Dic61—22no—
292C2×Dic61—22no—
293C2×Dic61—42no—
294C2×Dic61—42no—
295C2×Dic61—42no—
296C2×Dic61C22×D412yes—
297C2×Dic61C22×D412yes—
298C2×Dic61C22×D412yes—
299D244—22no—
300D244—22no—
301D244—42no—
302D244—84no—
303C4×D61—24no—
304C4×D61—22no—
305C4×D61—22no—
306C4×D61—84no—
307C4×D61—84no—
308Dic122—22no—
309Dic122—22no—
310Dic122—42no—
311Dic122—84no—
312Dic122—84no—
313C8×C61—22no—
314C8×C61—22no—
315#92418—22no—
316#92418—22no—
317C2×#3243—611nomaximal, Sylow
318C22×C61#53612yes—
319C22×C61#57612yes—
320C22×C61#57812yes—
321C22×C61C23×D411yescharacteristic
322C2×D61—22no—
323C2×D61—22no—
324C2×D61—22no—
325C2×D61—44no—
326C2×D61—42no—
327C2×D61—42no—
328C2×D61—42no—
329C2×D61—84no—
330C4×C61—22no—
331C4×C61—22no—
332C4×C61—42no—
333C4×C61—42no—
334C4×C61—42no—
335C4×C61—42no—
336C4×C61#53612yes—
337C4×C61C2×2−1+411yescharacteristic
338C4×C61C2×2−1+411yescharacteristic
339Dic61—22no—
340Dic61—22no—
341Dic61—22no—
342Dic61—42no—
343Dic61—42no—
344Dic61—42no—
345C2×#544—611no—
346C2×#542—611no—
347#3243—6116no—
348C2×#501D6111yescharacteristic, complemented
349C2×#500—611no—
350C2×#489—611no—
351C2×#488—611no—
352C2×#484—611no—
353C2×#485—611no—
354C2×#482—611no—
355C2×#480—611no—
356C2×#479—611no—
357C2×#477—611no—
358C2×#478—611no—
359C2×#474—611no—
360C2×#433—611no—
361C2×C61#324314yescomplemented
362C2×C61C2×#53611yescharacteristic
363C2×C61C2×#57611yescharacteristic
364C2×C61C2×#57811yescharacteristic
365D61—42no—
366D61—82no—
367#544—618no—
368#544—1224no—
369#542—618no—
370#542—1224no—
371C2×C4⋊Q8—611no—
372C2×C4⋊Q8—611no—
373C2×C4⋊Q8—1221no—
374C2×C4⋊Q8C2×D6111yescharacteristic
375C2×#126—1221no—
376C2×#125—611no—
377C2×#125—1221no—
378C2×#125C2×D6111yescharacteristic
379C2×#124—611no—
380C2×#124—1221no—
381C2×#123—1221no—
382C2×C22⋊Q8—611no—
383C2×C22⋊Q8—1221no—
384C2×C22⋊Q8—1221no—
385C2×C22⋊Q8—1221no—
386C2×#121—611no—
387C2×C4×Q8—611no—
388C2×C4×D4—611no—
389C2×#117—611no—
390C2×#117—611no—
391C22×C4⋊C4—611no—
392#501C2×D6118yescomplemented
393#500—618no—
394#489—618no—
395#488—618no—
396#485—618no—
397#484—618no—
398#482—618no—
399#480—618no—
400#479—618no—
401#478—618no—
402#477—618no—
403#474—618no—
404#433—618no—
405C2×#107—611no—
406C2×#107—611no—
407C2×#107—611no—
408C2×#107—611no—
409C2×#107C2×D6111yescharacteristic
410C2×#107C2×D6111yescharacteristic
411C2×#106C2×D6111yescharacteristic
412C2×#106C2×D6111yescharacteristic
413C2×C4⋊C8—611no—
414C2×C4⋊C8—611no—
415C2×#103—611no—
416C2×#103—611no—
417C2×#103—611no—
418C2×#103—611no—
419C2×#102—611no—
420C2×#102—611no—
421C2×#102—611no—
422C2×#102—611no—
423C2×C22⋊C8—611no—
424C2×C22⋊C8—611no—
425C2×#97C2×D6111yescharacteristic
426C2×C4×C8—611no—
427C61C2×#324311yescharacteristic, complemented, Sylow
428C22×Q8—21no—
429C22×Q8—611no—
430C22×Q8—1221no—
431C22×Q8—1221no—
432C22×D4—611no—
433C22×D4—1221no—
434C23×C4—611no—
435C23×C4—1221no—
436C23×C4—1221no—
437C22×C8—611no—
438C22×C8—611no—
439C22×C8C22×D6111yescharacteristic
440C22×C8C22×D6111yescharacteristic
441C4⋊Q8—22no—
442C4⋊Q8—614no—
443C4⋊Q8—614no—
444C4⋊Q8—1222no—
445C4⋊Q8—1228no—
446C4⋊Q8—1222no—
447C4⋊Q8C22×D6114yes—
448#126—1228no—
449#125—22no—
450#125—614no—
451#125—1222no—
452#125—1228no—
453#125C22×D6114yes—
454#124—614no—
455#124—1228no—
456#124—1222no—
457#123—1228no—
458C22⋊Q8—614no—
459C22⋊Q8—1228no—
460C22⋊Q8—1228no—
461C22⋊Q8—1222no—
462C22⋊Q8—1228no—
463#121—614no—
464#121—1222no—
465C4×Q8—614no—
466C4×Q8—1222no—
467C4×D4—614no—
468C4×D4—1222no—
469#117—614no—
470#117—614no—
471#117—614no—
472#117—1222no—
473C2×C4⋊C4—21no—
474C2×C4⋊C4—21no—
475C2×C4⋊C4—21no—
476C2×C4⋊C4—611no—
477C2×C4⋊C4—611no—
478C2×C4⋊C4—611no—
479C2×C4⋊C4—611no—
480C2×C4⋊C4—614no—
481C2×C4⋊C4—1222no—
482C2×C4⋊C4—1221no—
483C2×C4⋊C4—1221no—
484C2×C4⋊C4—1221no—
485C2×C4⋊C4—1221no—
486C2×C4⋊C4—1221no—
487C2×C4⋊C4—1221no—
488C2×C4⋊C4—1221no—
489C2×C4⋊C4C22×D6111yescharacteristic
490C2×C4⋊C4C22×D6111yescharacteristic
491C2×C4⋊C4C22×D6111yescharacteristic
492C2×C4⋊C4C22×D6111yescharacteristic
493C2×C22⋊C4—611no—
494C2×C22⋊C4—611no—
495C2×C22⋊C4—1221no—
496C2×C22⋊C4—1221no—
497C2×C22⋊C4—1221no—
498C2×C22⋊C4—1221no—
499C2×C22⋊C4—1221no—
500C2×C22⋊C4—1221no—
501C2×C42—611no—
502C2×C42—1221no—
503C2×C42—1221no—
504C2×C42C22×D6111yescharacteristic
505#107—614no—
506#107—614no—
507#107—614no—
508#107—614no—
509#107C22×D6114yes—
510#107C22×D6114yes—
511#106C22×D6114yes—
512#106C22×D6114yes—
513C4⋊C8—614no—
514C4⋊C8—614no—
515#103—614no—
516#103—614no—
517#103—614no—
518#103—614no—
519#102—614no—
520#102—614no—
521#102—614no—
522#102—614no—
523C22⋊C8—614no—
524C22⋊C8—614no—
525#97C22×D6114yes—
526C4×C8—614no—
527C24—611no—
528C24—1221no—
529C2×Q8—24no—
530C2×Q8—82no—
531C2×Q8—612no—
532C2×Q8—1224no—
533C2×Q8—1224no—
534C2×Q8—1221no—
535C2×Q8—1222no—
536C2×Q8—1222no—
537C2×Q8—4882no—
538C2×Q8—4882no—
539C2×D4—612no—
540C2×D4—1224no—
541C2×D4—1221no—
542C2×D4—1222no—
543C2×D4—1222no—
544C2×D4—4882no—
545C22×C4—21no—
546C22×C4—21no—
547C22×C4—21no—
548C22×C4—21no—
549C22×C4—611no—
550C22×C4—611no—
551C22×C4—611no—
552C22×C4—612no—
553C22×C4—612no—
554C22×C4—1224no—
555C22×C4—1224no—
556C22×C4—1222no—
557C22×C4—1222no—
558C22×C4—1221no—
559C22×C4—1221no—
560C22×C4—1221no—
561C22×C4—4882no—
562C22×C4—4882no—
563C22×C4D4×D6111yescharacteristic
564C22×C4D4×D6111yescharacteristic
565C22×C4C23×D6111yescharacteristic
566C2×C8—22no—
567C2×C8—22no—
568C2×C8—612no—
569C2×C8—612no—
570C2×C8—1222no—
571C2×C8—1222no—
572C2×C8C23×D6112yes—
573C2×C8C23×D6112yes—
574C4⋊C4—24no—
575C4⋊C4—24no—
576C4⋊C4—24no—
577C4⋊C4—21no—
578C4⋊C4—21no—
579C4⋊C4—21no—
580C4⋊C4—21no—
581C4⋊C4—614no—
582C4⋊C4—614no—
583C4⋊C4—612no—
584C4⋊C4—612no—
585C4⋊C4—1224no—
586C4⋊C4—1224no—
587C4⋊C4—1224no—
588C4⋊C4—1224no—
589C4⋊C4—1224no—
590C4⋊C4—1224no—
591C4⋊C4—1221no—
592C4⋊C4—1221no—
593C4⋊C4—1224no—
594C4⋊C4C23×D6112yes—
595C4⋊C4C23×D6112yes—
596C4⋊C4C23×D6112yes—
597C4⋊C4C23×D6112yes—
598C22⋊C4—614no—
599C22⋊C4—614no—
600C22⋊C4—1224no—
601C22⋊C4—1224no—
602C22⋊C4—1224no—
603C22⋊C4—1224no—
604C22⋊C4—1224no—
605C22⋊C4—1224no—
606C42—612no—
607C42—612no—
608C42—1224no—
609C42—1224no—
610C42D4×D6112yes—
611C42C23×D6112yes—
612C23—612no—
613C23—1222no—
614C23—1222no—
615C23—1222no—
616C23—1222no—
617C23—2442no—
618C23—2442no—
619C23—2442no—
620C23C2×D4×D6111yescharacteristic
621Q8—84no—
622Q8—1222no—
623Q8—1222no—
624Q8—4884no—
625Q8—4884no—
626Q8—2442no—
627D4—1222no—
628D4—1222no—
629D4—4884no—
630D4—2442no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—42no—
638C2×C4—42no—
639C2×C4—42no—
640C2×C4—42no—
641C2×C4—612no—
642C2×C4—612no—
643C2×C4—612no—
644C2×C4—1222no—
645C2×C4—1222no—
646C2×C4—1222no—
647C2×C4—1224no—
648C2×C4—1222no—
649C2×C4—1222no—
650C2×C4—1222no—
651C2×C4—1222no—
652C2×C4—1222no—
653C2×C4—4884no—
654C2×C4—4884no—
655C2×C4—2442no—
656C2×C4—2442no—
657C2×C4—2442no—
658C2×C4C2×D4×D6112yes—
659C2×C4C2×D4×D6112yes—
660C2×C4C2×D4×D6111yescharacteristic
661C2×C4#1451982512yes—
662C2×C4#1451982512yes—
663C2×C4C24×D6111yescharacteristic
664C8—22no—
665C8—22no—
666C8—1222no—
667C8—1222no—
668C22—1222no—
669C22—1222no—
670C22—1222no—
671C22—4884no—
672C22—2442no—
673C22—2442no—
674C22—2442no—
675C22—2444no—
676C22#1684033712yes—
677C22#1684056612yes—
678C22#1684057812yes—
679C22C22×D4×D6111yescharacteristic
680C4—22no—
681C4—22no—
682C4—42no—
683C4—42no—
684C4—42no—
685C4—42no—
686C4—1222no—
687C4—1222no—
688C4—1222no—
689C4—2442no—
690C4—2442no—
691C4—2442no—
692C4#1684033712yes—
693C4C2×#1451982511yescharacteristic
694C4C2×#1451982511yescharacteristic
695C2—4882no—
696C2—2442no—
697C2#2145710314yesdirect product factor
698C2C2×#1684033711yescharacteristic
699C2C2×#1684056611yescharacteristic
700C2C2×#1684057811yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC2×C61×#501C2
socleC23×C61C22×D4
prime radicalC2×#14519752C22
hypercenterC2×#501D61
hypocenterC61C2×#3243
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#501

Complements

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

NH ≅ G/Ntype
1. C2×#16840392C2semidirect
3. #21457103C2direct (N × H)
4. C2×#16840165C2semidirect
5. C2×#16840122C2semidirect
6. C2×#16840119C2semidirect
7. C2×#16840099C2semidirect
8. C2×#16840106C2semidirect
11. C2×#16840072C2semidirect
12. C2×#16840056C2semidirect
13. C2×#16840061C2semidirect
14. C2×#16840041C2semidirect
15. C2×#16839824C2semidirect
16. C2×C61×#501C2semidirect
18. #16840392C22semidirect
40. #16840165C22semidirect
41. #16840122C22semidirect
42. #16840119C22semidirect
43. #16840106C22semidirect
44. #16840099C22semidirect
47. #16840072C22semidirect
48. #16840061C22semidirect
49. #16840056C22semidirect
50. #16840041C22semidirect
51. #16839824C22semidirect
71. C61×#501C22semidirect
348. C2×#501D61semidirect
361. C2×C61#3243semidirect
392. #501C2×D61semidirect
427. C61C2×#3243semidirect
697. C2#21457103direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#168403922
C2×#168403862
#214571032
C2×#168401652
C2×#168401222
C2×#168401192
C2×#168400992
C2×#168401062
C2×#168400882
C2×#168400772
C2×#168400722
C2×#168400562
C2×#168400612
C2×#168400412
C2×#168398242
C2×C61×#5012
C2×#324361