Finite Group Databasebeta

← C2×#21457104 #30552236

Subgroups — C2×#21457104 #30552236

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×#16840390C211yesmaximal, characteristic, complemented
2C2×#16840383C211yesmaximal, characteristic
3#21457104C2116yesmaximal, direct product factor
4C2×#16840171C211yesmaximal, characteristic, complemented
5C2×#16840167C211yesmaximal, characteristic, complemented
6C2×#16840122C211yesmaximal, characteristic, complemented
7C2×#16840117C211yesmaximal, characteristic, complemented
8C2×#16840098C211yesmaximal, characteristic, complemented
9C2×#16840104C211yesmaximal, characteristic, complemented
10C2×#16840087C211yesmaximal, characteristic
11C2×#16840076C211yesmaximal, characteristic
12C2×#16840070C211yesmaximal, characteristic, complemented
13C2×#16840058C211yesmaximal, characteristic, complemented
14C2×#16840063C211yesmaximal, characteristic, complemented
15C2×#16840043C211yesmaximal, characteristic, complemented
16C2×C61×#433C211yesmaximal, characteristic, complemented
17#16840390—24no—
18#16840390C2218yescomplemented
19#16840383—24no—
20#16840383C2218yes—
21C2×#14519777C2211yescharacteristic
22C2×#14519777C2211yescharacteristic
23C2×#14519777C2211yescharacteristic
24C2×#14519776—21no—
25C2×#14519772—21no—
26C2×#14519769C2211yescharacteristic
27C2×#14519769C2211yescharacteristic
28C2×#14519768—21no—
29C2×#14519765C2211yescharacteristic
30C2×#14519763—21no—
31C2×#14519759—21no—
32C2×#14519756C2211yescharacteristic
33C2×#14519755—21no—
34C2×#14519754—21no—
35C2×#14519754—21no—
36C2×#14519751C2211yescharacteristic
37C2×C4×Dic122C2211yescharacteristic
38C2×C4×D244C2211yescharacteristic
39C2×#14519736C2211yescharacteristic
40C22×C4⋊Dic61C2211yescharacteristic
41#16840171C2218yescomplemented
42#16840167C2218yescomplemented
43#16840122C2218yescomplemented
44#16840117C2218yescomplemented
45#16840104C2218yescomplemented
46#16840098C2218yescomplemented
47#16840087C2218yes—
48#16840076C2218yes—
49#16840070C2218yescomplemented
50#16840063C2218yescomplemented
51#16840058C2218yescomplemented
52#16840043C2218yescomplemented
53C2×#14519711C2211yescharacteristic
54C2×#14519711C2211yescharacteristic
55C2×#14519711C2211yescharacteristic
56C2×#14519711C2211yescharacteristic
57C2×#14519711C2211yescharacteristic
58C2×#14519711C2211yescharacteristic
59C2×#14519709C2211yescharacteristic
60C2×#14519709C2211yescharacteristic
61C2×#14519702C2211yescharacteristic
62C2×#14519702C2211yescharacteristic
63C2×#14519702C2211yescharacteristic
64C2×#14519702C2211yescharacteristic
65C2×#14519699C2211yescharacteristic
66C2×#14519699C2211yescharacteristic
67C2×#14519699C2211yescharacteristic
68C2×#14519699C2211yescharacteristic
69C2×#117×C61C2211yescharacteristic
70C61×#433C2218yescomplemented
71C2×C4⋊C8×C61C2211yescharacteristic
72C2×C4⋊C8×C61C2211yescharacteristic
73C2×C22⋊C8×C61C2211yescharacteristic
74C2×C22⋊C8×C61C2211yescharacteristic
75C2×#97×C61C2211yescharacteristic
76C2×C4×C8×C61C2211yescharacteristic
77C22×Dic122—21no—
78C22×Dic122—21no—
79C22×Dic122—21no—
80C22×Dic122C2311yescharacteristic
81C22×D244C2311yescharacteristic
82C22×C22⋊D61—21no—
83C23×Dic61—21no—
84C22×C4×D61—21no—
85#14519777—22no—
86#14519777—22no—
87#14519777—22no—
88#14519777C2314yes—
89#14519777C2314yes—
90#14519777C2314yes—
91#14519776—28no—
92#14519772—28no—
93#14519769—22no—
94#14519769—22no—
95#14519769C2314yes—
96#14519769C2314yes—
97#14519768—28no—
98#14519765—22no—
99#14519765C2314yes—
100#14519763—28no—
101#14519759—28no—
102#14519756—22no—
103#14519756C2314yes—
104#14519755—28no—
105#14519754—28no—
106#14519754—28no—
107#14519751—22no—
108#14519751C2314yes—
109C4×Dic122—22no—
110C4×Dic122C2314yes—
111C4×D244—22no—
112C4×D244C2314yes—
113#14519736—22no—
114#14519736C2314yes—
115C2×C4⋊Dic61—21no—
116C2×C4⋊Dic61—22no—
117C2×C4⋊Dic61—21no—
118C2×C4⋊Dic61—21no—
119C2×C4⋊Dic61—21no—
120C2×C4⋊Dic61C2311yescharacteristic
121C2×C4⋊Dic61C2311yescharacteristic
122C2×C4⋊Dic61C2314yes—
123C2×C4⋊Dic61C2311yescharacteristic
124C2×C4⋊Dic61C2311yescharacteristic
125C2×C4⋊Dic61C2311yescharacteristic
126C2×C4⋊Dic61C2311yescharacteristic
127C2×#11758196—21no—
128C2×#11758196—21no—
129C2×#11758196—21no—
130C2×#11758196—21no—
131C2×#11758196—21no—
132C2×#11758196—21no—
133C2×C22⋊Dic61—21no—
134C2×C22⋊Dic61—21no—
135C2×#11758198—21no—
136C2×#11758198—21no—
137C2×#11758198—21no—
138C2×#11758198—21no—
139C2×C4×Dic61—21no—
140C2×C4×Dic61—21no—
141#14519711C2314yes—
142#14519711C2314yes—
143#14519711C2314yes—
144#14519711C2314yes—
145#14519711C2314yes—
146#14519711C2314yes—
147#14519709C2314yes—
148#14519709C2314yes—
149#14519702C2314yes—
150#14519702C2314yes—
151#14519702C2314yes—
152#14519702C2314yes—
153#14519699C2314yes—
154#14519699C2314yes—
155#14519699C2314yes—
156#14519699C2314yes—
157C23×C4×C61C2311yescharacteristic
158C22×C8×C61C2311yescharacteristic
159C22×C8×C61C2311yescharacteristic
160C22×C8×C61C2311yescharacteristic
161C22×C8×C61C2311yescharacteristic
162#117×C61D414yes—
163#117×C61C2314yes—
164C2×C4⋊C4×C61D411yescharacteristic
165C2×C4⋊C4×C61D411yescharacteristic
166C2×C22⋊C4×C61D411yescharacteristic
167C2×C22⋊C4×C61D411yescharacteristic
168C2×C42×C61C2311yescharacteristic
169C2×C42×C61C2311yescharacteristic
170C4⋊C8×C61C2314yes—
171C4⋊C8×C61C2314yes—
172C22⋊C8×C61C2314yes—
173C22⋊C8×C61C2314yes—
174#97×C61C2314yes—
175C4×C8×C61C2314yes—
176C24×C61C2×D411yescharacteristic
177C23×D61—21no—
178C22×C4×C61—22no—
179C22×C4×C61—22no—
180C22×C4×C61C2×D411yescharacteristic
181C22×C4×C61C2×D411yescharacteristic
182C22×C4×C61C2×D411yescharacteristic
183C22×C4×C61C2×D411yescharacteristic
184C22×C4×C61C2×D411yescharacteristic
185C22×C4×C61C2×D412yes—
186C22×C4×C61C2412yes—
187C22×C4×C61C2411yescharacteristic
188C2×C22⋊D61—24no—
189C2×C22⋊D61—82no—
190C22×Dic61—21no—
191C22×Dic61—21no—
192C22×Dic61—21no—
193C22×Dic61—21no—
194C22×Dic61—21no—
195C22×Dic61—21no—
196C22×Dic61—21no—
197C22×Dic61—24no—
198C22×Dic61—82no—
199C2×D244—22no—
200C2×D244—22no—
201C2×D244—21no—
202C2×D244C2412yes—
203C2×C4×D61—24no—
204C2×C4×D61—82no—
205C2×Dic122—22no—
206C2×Dic122—22no—
207C2×Dic122—21no—
208C2×Dic122—24no—
209C2×Dic122—24no—
210C2×Dic122—24no—
211C2×Dic122—82no—
212C2×Dic122—82no—
213C2×Dic122—82no—
214C2×Dic122C2412yes—
215C2×C8×C61—22no—
216C2×C8×C61—22no—
217C2×C8×C61—22no—
218C2×C8×C61—22no—
219C2×C8×C61C2412yes—
220C2×C8×C61C2412yes—
221C2×C8×C61C2412yes—
222C2×C8×C61C2412yes—
223C4⋊C4×C61C2×D414yes—
224C4⋊C4×C61C2×D414yes—
225C22⋊C4×C61C2×D414yes—
226C22⋊C4×C61C2×D414yes—
227C42×C61C2×D412yes—
228C42×C61C2×D412yes—
229C42×C61C2412yes—
230C42×C61C2412yes—
231C22⋊Dic61—24no—
232C22⋊Dic61—24no—
233#11758198—24no—
234#11758198—24no—
235#11758198—24no—
236#11758198—24no—
237C4⋊Dic61—24no—
238C4⋊Dic61—21no—
239C4⋊Dic61—21no—
240C4⋊Dic61—24no—
241C4⋊Dic61—24no—
242C4⋊Dic61—24no—
243C4⋊Dic61—21no—
244C4⋊Dic61—21no—
245C4⋊Dic61—21no—
246C4⋊Dic61—21no—
247C4⋊Dic61C2412yes—
248C4⋊Dic61C2412yes—
249C4⋊Dic61C2412yes—
250C4⋊Dic61C2412yes—
251C4⋊Dic61C2412yes—
252C4⋊Dic61C2412yes—
253#11758196—24no—
254#11758196—24no—
255#11758196—24no—
256#11758196—24no—
257#11758196—24no—
258#11758196—24no—
259C4×Dic61—24no—
260C4×Dic61—24no—
261C23×C61—22no—
262C23×C61—22no—
263C23×C61—22no—
264C23×C61C22×D412yes—
265C23×C61C22×D411yescharacteristic
266C22×D61—22no—
267C22×D61—42no—
268C22×D61—42no—
269C22×D61—42no—
270C2×C4×C61—22no—
271C2×C4×C61—22no—
272C2×C4×C61—22no—
273C2×C4×C61—22no—
274C2×C4×C61—22no—
275C2×C4×C61—24no—
276C2×C4×C61—22no—
277C2×C4×C61—22no—
278C2×C4×C61C22×D412yes—
279C2×C4×C61C22×D412yes—
280C2×C4×C61C22×D412yes—
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
287C22⋊D61—84no—
288C2×Dic61—22no—
289C2×Dic61—22no—
290C2×Dic61—22no—
291C2×Dic61—22no—
292C2×Dic61—22no—
293C2×Dic61—22no—
294C2×Dic61—22no—
295C2×Dic61—42no—
296C2×Dic61—42no—
297C2×Dic61—42no—
298C2×Dic61—42no—
299C2×Dic61—42no—
300C2×Dic61—42no—
301C2×Dic61—42no—
302C2×Dic61—84no—
303D244—22no—
304D244—22no—
305D244—42no—
306C4×D61—84no—
307Dic122—22no—
308Dic122—22no—
309Dic122—42no—
310Dic122—84no—
311Dic122—84no—
312Dic122—84no—
313C8×C61—22no—
314C8×C61—22no—
315C8×C61—22no—
316C8×C61—22no—
317C2×#3243—611nomaximal, Sylow
318C22×C61—22no—
319C22×C61—22no—
320C22×C61—22no—
321C22×C61—44no—
322C22×C61#53612yes—
323C22×C61#57612yes—
324C22×C61#57812yes—
325C22×C61C23×D411yescharacteristic
326C2×D61—42no—
327C2×D61—42no—
328C2×D61—42no—
329C2×D61—84no—
330C4×C61—22no—
331C4×C61—22no—
332C4×C61—22no—
333C4×C61—22no—
334C4×C61—22no—
335C4×C61#53612yes—
336C4×C61C2×2−1+411yescharacteristic
337C4×C61C2×2−1+411yescharacteristic
338Dic61—42no—
339Dic61—42no—
340Dic61—42no—
341Dic61—42no—
342Dic61—42no—
343Dic61—42no—
344Dic61—42no—
345C2×#544—611no—
346C2×#542—611no—
347#3243—6116no—
348C2×#501—611no—
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×#433D6111yescharacteristic, complemented
361C2×C61—42no—
362C2×C61#324314yescomplemented
363C2×C61C2×#53611yescharacteristic
364C2×C61C2×#57611yescharacteristic
365C2×C61C2×#57811yescharacteristic
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—611no—
374C2×C4⋊Q8—1221no—
375C2×#126—1221no—
376C2×#125—611no—
377C2×#125—611no—
378C2×#125—1221no—
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×#117C2×D6111yescharacteristic
391C22×C4⋊C4—611no—
392#501—618no—
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#433C2×D6118yescomplemented
405C2×#107—611no—
406C2×#107—611no—
407C2×#107—611no—
408C2×#107—611no—
409C2×#107—611no—
410C2×#107—611no—
411C2×#106—611no—
412C2×#106—611no—
413C2×C4⋊C8C2×D6111yescharacteristic
414C2×C4⋊C8C2×D6111yescharacteristic
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⋊C8C2×D6111yescharacteristic
424C2×C22⋊C8C2×D6111yescharacteristic
425C2×#97C2×D6111yescharacteristic
426C2×C4×C8C2×D6111yescharacteristic
427C61C2×#324311yescharacteristic, complemented, Sylow
428C22×Q8—611no—
429C22×Q8—1221no—
430C22×Q8—1221no—
431C22×Q8—1221no—
432C22×D4—611no—
433C22×D4—1221no—
434C23×C4—1221no—
435C23×C4—1221no—
436C23×C4C22×D6111yescharacteristic
437C22×C8C22×D6111yescharacteristic
438C22×C8C22×D6111yescharacteristic
439C22×C8C22×D6111yescharacteristic
440C22×C8C22×D6111yescharacteristic
441C4⋊Q8—614no—
442C4⋊Q8—614no—
443C4⋊Q8—614no—
444C4⋊Q8—1228no—
445C4⋊Q8—1222no—
446C4⋊Q8—1222no—
447C4⋊Q8—1222no—
448#126—1228no—
449#125—614no—
450#125—614no—
451#125—1228no—
452#125—1222no—
453#125—1222no—
454#124—614no—
455#124—1228no—
456#124—1222no—
457#123—1228no—
458C22⋊Q8—614no—
459C22⋊Q8—1222no—
460C22⋊Q8—1228no—
461C22⋊Q8—1228no—
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—1222no—
471#117D24414yes—
472#117C22×D6114yes—
473C2×C4⋊C4—611no—
474C2×C4⋊C4—611no—
475C2×C4⋊C4—614no—
476C2×C4⋊C4—611no—
477C2×C4⋊C4—611no—
478C2×C4⋊C4—611no—
479C2×C4⋊C4—611no—
480C2×C4⋊C4—1221no—
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⋊C4—1221no—
490C2×C4⋊C4—1221no—
491C2×C4⋊C4D24411yescharacteristic
492C2×C4⋊C4D24411yescharacteristic
493C2×C22⋊C4—1221no—
494C2×C22⋊C4—1221no—
495C2×C22⋊C4—1221no—
496C2×C22⋊C4—1221no—
497C2×C22⋊C4—1221no—
498C2×C22⋊C4—1221no—
499C2×C22⋊C4D24411yescharacteristic
500C2×C22⋊C4D24411yescharacteristic
501C2×C42—1221no—
502C2×C42—1221no—
503C2×C42C22×D6111yescharacteristic
504C2×C42C22×D6111yescharacteristic
505#107—614no—
506#107—614no—
507#107—614no—
508#107—614no—
509#107—614no—
510#107—614no—
511#106—614no—
512#106—614no—
513C4⋊C8C22×D6114yes—
514C4⋊C8C22×D6114yes—
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⋊C8C22×D6114yes—
524C22⋊C8C22×D6114yes—
525#97C22×D6114yes—
526C4×C8C22×D6114yes—
527C24—1221no—
528C24C2×D24411yescharacteristic
529C2×Q8—612no—
530C2×Q8—1224no—
531C2×Q8—1224no—
532C2×Q8—1224no—
533C2×Q8—1221no—
534C2×Q8—1222no—
535C2×Q8—1222no—
536C2×Q8—4882no—
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—22no—
546C22×C4—22no—
547C22×C4—1224no—
548C22×C4—1221no—
549C22×C4—1221no—
550C22×C4—1221no—
551C22×C4—1221no—
552C22×C4—1221no—
553C22×C4—1221no—
554C22×C4—1221no—
555C22×C4—1224no—
556C22×C4—4882no—
557C22×C4—4882no—
558C22×C4C2×D24412yes—
559C22×C4C2×D24411yescharacteristic
560C22×C4C2×D24411yescharacteristic
561C22×C4C2×D24411yescharacteristic
562C22×C4C2×D24411yescharacteristic
563C22×C4C2×D24411yescharacteristic
564C22×C4C23×D6112yes—
565C22×C4C23×D6111yescharacteristic
566C2×C8—22no—
567C2×C8—22no—
568C2×C8—22no—
569C2×C8—22no—
570C2×C8C23×D6112yes—
571C2×C8C23×D6112yes—
572C2×C8C23×D6112yes—
573C2×C8C23×D6112yes—
574C4⋊C4—612no—
575C4⋊C4—612no—
576C4⋊C4—612no—
577C4⋊C4—612no—
578C4⋊C4—612no—
579C4⋊C4—612no—
580C4⋊C4—1224no—
581C4⋊C4—1221no—
582C4⋊C4—1221no—
583C4⋊C4—1221no—
584C4⋊C4—1221no—
585C4⋊C4—1221no—
586C4⋊C4—1221no—
587C4⋊C4—1224no—
588C4⋊C4—1224no—
589C4⋊C4—1224no—
590C4⋊C4—1224no—
591C4⋊C4—1224no—
592C4⋊C4—1224no—
593C4⋊C4—1224no—
594C4⋊C4—1224no—
595C4⋊C4—1224no—
596C4⋊C4C2×D24414yes—
597C4⋊C4C2×D24414yes—
598C22⋊C4—1224no—
599C22⋊C4—1224no—
600C22⋊C4—1224no—
601C22⋊C4—1224no—
602C22⋊C4—1224no—
603C22⋊C4—1224no—
604C22⋊C4C2×D24414yes—
605C22⋊C4C2×D24414yes—
606C42—1224no—
607C42—1224no—
608C42C2×D24412yes—
609C42C2×D24412yes—
610C42C23×D6112yes—
611C42C23×D6112yes—
612C23—22no—
613C23—22no—
614C23—22no—
615C23—1222no—
616C23—2442no—
617C23—2442no—
618C23—2442no—
619C23C22×D24412yes—
620C23C22×D24411yescharacteristic
621Q8—1222no—
622Q8—1222no—
623Q8—4884no—
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—24no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—1222no—
640C2×C4—1222no—
641C2×C4—1222no—
642C2×C4—1222no—
643C2×C4—1222no—
644C2×C4—1222no—
645C2×C4—1222no—
646C2×C4—4884no—
647C2×C4—4884no—
648C2×C4—2442no—
649C2×C4—2442no—
650C2×C4—2442no—
651C2×C4—2442no—
652C2×C4—2442no—
653C2×C4—2442no—
654C2×C4—2442no—
655C2×C4C22×D24412yes—
656C2×C4C22×D24412yes—
657C2×C4C22×D24412yes—
658C2×C4C22×D24412yes—
659C2×C4C22×D24412yes—
660C2×C4C22×D24411yescharacteristic
661C2×C4#1451982412yes—
662C2×C4#1451982412yes—
663C2×C4C24×D6111yescharacteristic
664C8—22no—
665C8—22no—
666C8—22no—
667C8—22no—
668C22—22no—
669C22—22no—
670C22—22no—
671C22—44no—
672C22—4884no—
673C22—2442no—
674C22—2442no—
675C22—2442no—
676C22#1684033812yes—
677C22#1684056712yes—
678C22#1684057912yes—
679C22C23×D24411yescharacteristic
680C4—22no—
681C4—22no—
682C4—22no—
683C4—22no—
684C4—22no—
685C4—2442no—
686C4—2442no—
687C4—2442no—
688C4—2442no—
689C4—2442no—
690C4—2442no—
691C4—2442no—
692C4#1684033812yes—
693C4C2×#1451982411yescharacteristic
694C4C2×#1451982411yescharacteristic
695C2—42no—
696C2—4882no—
697C2#2145710414yesdirect product factor
698C2C2×#1684033811yescharacteristic
699C2C2×#1684056711yescharacteristic
700C2C2×#1684057911yescharacteristic
subgroupG/H
centerC23C22×D244
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC2×C61×#433C2
socleC23×C61C22×D4
prime radicalC2×#14519751C22
hypercenterC2×#433D61
hypocenterC61C2×#3243
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×#117 ◁ C2×#433

Complements

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

NH ≅ G/Ntype
1. C2×#16840390C2semidirect
3. #21457104C2direct (N × H)
4. C2×#16840171C2semidirect
5. C2×#16840167C2semidirect
6. C2×#16840122C2semidirect
7. C2×#16840117C2semidirect
8. C2×#16840098C2semidirect
9. C2×#16840104C2semidirect
12. C2×#16840070C2semidirect
13. C2×#16840058C2semidirect
14. C2×#16840063C2semidirect
15. C2×#16840043C2semidirect
16. C2×C61×#433C2semidirect
18. #16840390C22semidirect
41. #16840171C22semidirect
42. #16840167C22semidirect
43. #16840122C22semidirect
44. #16840117C22semidirect
45. #16840104C22semidirect
46. #16840098C22semidirect
49. #16840070C22semidirect
50. #16840063C22semidirect
51. #16840058C22semidirect
52. #16840043C22semidirect
70. C61×#433C22semidirect
360. C2×#433D61semidirect
362. C2×C61#3243semidirect
404. #433C2×D61semidirect
427. C61C2×#3243semidirect
697. C2#21457104direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#168403902
C2×#168403832
#214571042
C2×#168401712
C2×#168401672
C2×#168401222
C2×#168401172
C2×#168400982
C2×#168401042
C2×#168400872
C2×#168400762
C2×#168400702
C2×#168400582
C2×#168400632
C2×#168400432
C2×C61×#4332
C2×#324361