Finite Group Databasebeta

← C2×#21458689 #30560447

Subgroups — C2×#21458689 #30560447

Order 15616.

1842 conjugacy classes of subgroups.

The subgroup lattice has 684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840489C211yesmaximal, characteristic, complemented
2C2×#16840471C211yesmaximal, characteristic
3#21458689C2116yesmaximal, direct product factor
4C2×#16840163C211yesmaximal, characteristic, complemented
5C2×#16840161C211yesmaximal, characteristic, complemented
6C2×#16840159C211yesmaximal, characteristic, complemented
7C2×#16840072C211yesmaximal, characteristic, complemented
8C2×#16840070C211yesmaximal, characteristic, complemented
9C2×#16840056C211yesmaximal, characteristic, complemented
10C2×#16840064C211yesmaximal, characteristic
11C2×#16840040C211yesmaximal, characteristic
12C2×#16839886C211yesmaximal, characteristic, complemented
13C2×#16839853C211yesmaximal, characteristic
14C2×#16839853C211yesmaximal, characteristic
15C2×C4×#11758200C211yesmaximal, characteristic
16C2×C61×#478C211yesmaximal, characteristic
17C22×#11758200C2211yescharacteristic
18#16840489—24no—
19#16840489C2218yescomplemented
20#16840471—24no—
21#16840471C2218yes—
22C2×#14519776—21no—
23C2×#14519776C2211yescharacteristic
24C2×#14519776C2211yescharacteristic
25C2×#14519769C2211yescharacteristic
26C2×#14519768C2211yescharacteristic
27C2×#14519768C2211yescharacteristic
28C2×#14519767—21no—
29C2×#14519767—21no—
30C2×#14519756—21no—
31C2×#14519754—21no—
32C2×#14519754—21no—
33C2×C4×Dic122C2211yescharacteristic
34C2×C4×Dic122C2211yescharacteristic
35C2×#14519742—21no—
36C2×#14519742C2211yescharacteristic
37C2×#14519742C2211yescharacteristic
38C2×D4×Dic61C2211yescharacteristic
39C2×D4×Dic61C2211yescharacteristic
40C22×#11758196—21no—
41#16840163C2218yescomplemented
42#16840161C2218yescomplemented
43#16840159C2218yescomplemented
44#16840072C2218yescomplemented
45#16840070C2218yescomplemented
46#16840064C2218yes—
47#16840056C2218yescomplemented
48#16840040C2218yes—
49#16839886C2218yescomplemented
50#16839853C2218yes—
51#16839853C2218yes—
52C4×#11758200C2218yes—
53C2×#14519711C2211yescharacteristic
54C2×#14519710C2211yescharacteristic
55C2×#14519710C2211yescharacteristic
56C2×#14519709C2211yescharacteristic
57C2×#14519708C2211yescharacteristic
58C2×#14519708C2211yescharacteristic
59C2×#14519708C2211yescharacteristic
60C2×#14519706C2211yescharacteristic
61C2×#14519706C2211yescharacteristic
62C2×#14519702C2211yescharacteristic
63C2×#14519702C2211yescharacteristic
64C2×#14519700C2211yescharacteristic
65C2×#14519698C2211yescharacteristic
66C2×C4×#92418C2211yescharacteristic
67C2×C8×Dic61C2211yescharacteristic
68C2×C8×Dic61C2211yescharacteristic
69C2×#125×C61C2211yescharacteristic
70C2×C4×D4×C61C2211yescharacteristic
71C61×#478C2218yes—
72C2×#107×C61C2211yescharacteristic
73C2×#106×C61C2211yescharacteristic
74C2×C4⋊C8×C61C2211yescharacteristic
75C2×#102×C61C2211yescharacteristic
76C2×#102×C61C2211yescharacteristic
77C22×Dic122—21no—
78C22×Dic122—21no—
79C22×Dic122D411yescharacteristic
80C22×Dic122C2311yescharacteristic
81C23×Dic61—21no—
82C23×Dic61—21no—
83C2×#11758200Q818yescomplemented
84C2×#11758200C2314yes—
85C22×#92418C2311yescharacteristic
86C22×#92418C2311yescharacteristic
87#14519776—28no—
88#14519776—22no—
89#14519776—22no—
90#14519776C2314yes—
91#14519776C2314yes—
92#14519769—22no—
93#14519769C2314yes—
94#14519768—22no—
95#14519768—22no—
96#14519768C2314yes—
97#14519768C2314yes—
98#14519767—28no—
99#14519767—28no—
100#14519756—28no—
101#14519754—28no—
102#14519754—28no—
103C4×Dic122—22no—
104C4×Dic122D414yes—
105C4×Dic122C2314yes—
106C4×Dic122C2314yes—
107#14519742—28no—
108#14519742—22no—
109#14519742—22no—
110#14519742C2314yes—
111#14519742C2314yes—
112D4×Dic61—22no—
113D4×Dic61—22no—
114D4×Dic61C2314yes—
115D4×Dic61C2314yes—
116C2×C4⋊Dic61—21no—
117C2×C4⋊Dic61—21no—
118C2×C4⋊Dic61D411yescharacteristic
119C2×C4⋊Dic61C2311yescharacteristic
120C2×C4⋊Dic61C2311yescharacteristic
121C2×C4⋊Dic61C2311yescharacteristic
122C2×#11758196—21no—
123C2×#11758196—21no—
124C2×#11758196—21no—
125C2×#11758196—21no—
126C2×#11758196—21no—
127C2×#11758196—21no—
128C2×#11758196—21no—
129C2×#11758196—21no—
130C2×#11758196—21no—
131C2×#11758196—28no—
132C2×#11758196D411yescharacteristic
133C2×#11758196D411yescharacteristic
134C2×C22⋊Dic61—21no—
135C2×C22⋊Dic61—21no—
136C2×C4×Dic61—21no—
137C2×C4×Dic61—21no—
138C2×C4×Dic61—21no—
139C2×C4×Dic61C2311yescharacteristic
140C2×C4×Dic61C2311yescharacteristic
141#14519711C2314yes—
142#14519710C2314yes—
143#14519710C2314yes—
144#14519709C2314yes—
145#14519708C2314yes—
146#14519708C2314yes—
147#14519708C2314yes—
148#14519706C2314yes—
149#14519706C2314yes—
150#14519702C2314yes—
151#14519702C2314yes—
152#14519700C2314yes—
153#14519698C2314yes—
154C4×#92418C2314yes—
155C8×Dic61C2314yes—
156C8×Dic61C2314yes—
157C22×D4×C61C2311yescharacteristic
158C23×C4×C61—21no—
159C22×C8×C61C2311yescharacteristic
160C22×C8×C61C2311yescharacteristic
161#125×C61—22no—
162#125×C61C2314yes—
163C4×D4×C61—22no—
164C4×D4×C61C2314yes—
165C2×C4⋊C4×C61—21no—
166C2×C4⋊C4×C61—21no—
167C2×C4⋊C4×C61C2311yescharacteristic
168C2×C4⋊C4×C61C2311yescharacteristic
169C2×C4⋊C4×C61C2311yescharacteristic
170C2×C22⋊C4×C61—21no—
171C2×C42×C61C2311yescharacteristic
172#107×C61C2314yes—
173#106×C61C2314yes—
174C4⋊C8×C61C2314yes—
175#102×C61C2314yes—
176#102×C61C2314yes—
177C24×C61—21no—
178C2×D4×C61—21no—
179C2×D4×C61—22no—
180C2×D4×C61C2×Q814yes—
181C2×D4×C61C2412yes—
182C22×C4×C61—21no—
183C22×C4×C61—21no—
184C22×C4×C61—21no—
185C22×C4×C61—24no—
186C22×C4×C61—82no—
187C22×C4×C61C2×D411yescharacteristic
188C22×C4×C61C2×D411yescharacteristic
189C22×C4×C61C2411yescharacteristic
190C22×Dic61—21no—
191C22×Dic61—21no—
192C22×Dic61—21no—
193C22×Dic61—21no—
194C22×Dic61—24no—
195C22×Dic61—24no—
196C22×Dic61—44no—
197C22×Dic61—82no—
198C22×Dic61C2×D411yescharacteristic
199C22×Dic61C2×D411yescharacteristic
200C22×Dic61C2×D411yescharacteristic
201C22×Dic61C2×D411yescharacteristic
202C2×Dic122—21no—
203C2×Dic122—22no—
204C2×Dic122—24no—
205C2×Dic122—24no—
206C2×Dic122—24no—
207C2×Dic122—44no—
208C2×Dic122—82no—
209C2×Dic122C2×D414yes—
210C2×Dic122C2×Q814yes—
211C2×Dic122C2412yes—
212C2×C8×C61—22no—
213C2×C8×C61—22no—
214C2×C8×C61C2412yes—
215C2×C8×C61C2412yes—
216C4⋊C4×C61—24no—
217C4⋊C4×C61—24no—
218C4⋊C4×C61—21no—
219C4⋊C4×C61—21no—
220C4⋊C4×C61—21no—
221C4⋊C4×C61C2412yes—
222C4⋊C4×C61C2412yes—
223C4⋊C4×C61C2412yes—
224C22⋊C4×C61—24no—
225C42×C61C2×D412yes—
226C42×C61C2412yes—
227C22⋊Dic61—24no—
228C22⋊Dic61—24no—
229#11758200C2×Q8116yescomplemented
230C4⋊Dic61—21no—
231C4⋊Dic61—21no—
232C4⋊Dic61—21no—
233C4⋊Dic61—24no—
234C4⋊Dic61—24no—
235C4⋊Dic61C2×D414yes—
236C4⋊Dic61C2412yes—
237C4⋊Dic61C2412yes—
238C4⋊Dic61C2412yes—
239#11758196—24no—
240#11758196—24no—
241#11758196—24no—
242#11758196—24no—
243#11758196—24no—
244#11758196—24no—
245#11758196—24no—
246#11758196—24no—
247#11758196—24no—
248#11758196C2×D414yes—
249#11758196C2×D414yes—
250C4×Dic61—24no—
251C4×Dic61—24no—
252C4×Dic61—24no—
253C4×Dic61C2×D412yes—
254C4×Dic61C2×D412yes—
255C4×Dic61C2412yes—
256C4×Dic61C2412yes—
257C2×#92418—22no—
258C2×#92418C2×Q814yes—
259C2×#92418C2412yes—
260C2×#92418C2412yes—
261C23×C61—24no—
262C23×C61—22no—
263C23×C61—42no—
264C23×C61—42no—
265C23×C61C22×D411yescharacteristic
266D4×C61—24no—
267D4×C61—22no—
268D4×C61C22×Q814yes—
269C2×C4×C61—22no—
270C2×C4×C61—22no—
271C2×C4×C61—22no—
272C2×C4×C61—22no—
273C2×C4×C61—22no—
274C2×C4×C61—42no—
275C2×C4×C61—42no—
276C2×C4×C61—42no—
277C2×C4×C61—84no—
278C2×C4×C61C22×D412yes—
279C2×C4×C61C22×D412yes—
280C2×C4×C61C22×D411yescharacteristic
281C2×C4×C61C22×Q812yes—
282C2×C4×C612−1+412yes—
283C2×C4×C61C2511yescharacteristic
284C2×Dic61—24no—
285C2×Dic61—22no—
286C2×Dic61—22no—
287C2×Dic61—22no—
288C2×Dic61—22no—
289C2×Dic61—22no—
290C2×Dic61—22no—
291C2×Dic61—22no—
292C2×Dic61—42no—
293C2×Dic61—42no—
294C2×Dic61—42no—
295C2×Dic61—48no—
296C2×Dic61—84no—
297C2×Dic61#13514yes—
298C2×Dic61C22×D412yes—
299C2×Dic61C22×D412yes—
300C2×Dic61C22×D412yes—
301C2×Dic61C22×D412yes—
302Dic122—24no—
303Dic122—22no—
304Dic122—28no—
305Dic122—48no—
306Dic122—84no—
307Dic122C22×Q814yes—
308C8×C61—22no—
309C8×C61—22no—
310#92418—22no—
311#92418C22×Q814yes—
312C2×#3381—611nomaximal, Sylow
313C22×C61—24no—
314C22×C61—48no—
315C22×C61—42no—
316C22×C61—42no—
317C22×C61D4×Q812yes—
318C22×C61C2×#13512yes—
319C22×C61#57712yes—
320C22×C61C23×D411yescharacteristic
321C4×C61—22no—
322C4×C61—22no—
323C4×C61—42no—
324C4×C61—42no—
325C4×C61—42no—
326C4×C61D4×Q812yes—
327C4×C61C23×Q811yescharacteristic
328C4×C61C2×2−1+411yescharacteristic
329Dic61—24no—
330Dic61—22no—
331Dic61—22no—
332Dic61—22no—
333Dic61—42no—
334Dic61—42no—
335Dic61—42no—
336Dic61C2×#13514yes—
337C2×#557—611no—
338C2×#554—611no—
339#3381—6116no—
340C2×#499—611no—
341C2×#499—611no—
342C2×#498—611no—
343C2×#479—611no—
344C2×#479—611no—
345C2×#477—611no—
346C2×#478—611no—
347C2×#478D6111yescharacteristic
348C2×#474—611no—
349C2×C8×Q8—611no—
350C2×C4×SD16—611no—
351C2×C4×SD16—611no—
352C2×C4×SD16—611no—
353C2×C61—44no—
354C2×C61#338114yescomplemented
355C2×C61C2×D4×Q811yescharacteristic
356C2×C61C22×#13511yescharacteristic
357C2×C61C2×#57711yescharacteristic
358C22×SD16—611no—
359#557—618no—
360#557—1224no—
361#554—618no—
362#554—1224no—
363C2×C4⋊Q8—611no—
364C2×C4⋊Q8—611no—
365C2×C4⋊Q8—1221no—
366C2×#125—611no—
367C2×#125—611no—
368C2×#125—611no—
369C2×#125—1221no—
370C2×#125—1221no—
371C2×#125C2×D6111yescharacteristic
372C2×C22⋊Q8—1221no—
373C2×C22⋊Q8—1221no—
374C2×C22⋊Q8—1221no—
375C2×C4×Q8—611no—
376C2×C4×Q8—611no—
377C2×C4×Q8—611no—
378C2×C4×Q8—611no—
379C2×C4×Q8—1221no—
380C2×C4×D4—611no—
381C2×C4×D4—611no—
382C2×C4×D4C2×D6111yescharacteristic
383C22×C4⋊C4—1221no—
384#499—618no—
385#499—618no—
386#498—618no—
387#479—618no—
388#479—618no—
389#478—618no—
390#478C2×D6118yes—
391#477—618no—
392#474—618no—
393C8×Q8—618no—
394C4×SD16—618no—
395C4×SD16—618no—
396C4×SD16—618no—
397C2×#107—611no—
398C2×#107—611no—
399C2×#107—611no—
400C2×#107C2×D6111yescharacteristic
401C2×#106—611no—
402C2×#106—611no—
403C2×#106—611no—
404C2×#106—611no—
405C2×#106C2×D6111yescharacteristic
406C2×C4⋊C8—611no—
407C2×C4⋊C8—611no—
408C2×C4⋊C8C2×D6111yescharacteristic
409C2×#103—611no—
410C2×#103—611no—
411C2×#103—611no—
412C2×#102—611no—
413C2×#102C2×D6111yescharacteristic
414C2×#102C2×D6111yescharacteristic
415C2×C4×C8—611no—
416C2×C4×C8—611no—
417C2×C4×C8—611no—
418C61C2×#338111yescharacteristic, complemented, Sylow
419C22×Q8—611no—
420C22×Q8—611no—
421C22×Q8—1221no—
422C22×Q8—1221no—
423C22×D4C22×D6111yescharacteristic
424C23×C4—21no—
425C23×C4—1221no—
426C23×C4—1221no—
427C2×SD16—618no—
428C2×SD16—614no—
429C22×C8—611no—
430C22×C8—611no—
431C22×C8C22×D6111yescharacteristic
432C22×C8C22×D6111yescharacteristic
433C4⋊Q8—614no—
434C4⋊Q8—614no—
435C4⋊Q8—1222no—
436C4⋊Q8—1222no—
437C4⋊Q8—1228no—
438#125—22no—
439#125—614no—
440#125—614no—
441#125—614no—
442#125—1222no—
443#125—1222no—
444#125—1228no—
445#125—1228no—
446#125—1222no—
447#125C22×D6114yes—
448C22⋊Q8—1228no—
449C22⋊Q8—1228no—
450C22⋊Q8—1228no—
451C4×Q8—614no—
452C4×Q8—614no—
453C4×Q8—614no—
454C4×Q8—614no—
455C4×Q8—614no—
456C4×Q8—1222no—
457C4×Q8—1222no—
458C4×Q8—1228no—
459C4×Q8—1222no—
460C4×D4—22no—
461C4×D4—614no—
462C4×D4—614no—
463C4×D4—1222no—
464C4×D4—1222no—
465C4×D4C22×D6114yes—
466C2×C4⋊C4—21no—
467C2×C4⋊C4—21no—
468C2×C4⋊C4—611no—
469C2×C4⋊C4—611no—
470C2×C4⋊C4—611no—
471C2×C4⋊C4—611no—
472C2×C4⋊C4—611no—
473C2×C4⋊C4—611no—
474C2×C4⋊C4—1228no—
475C2×C4⋊C4—1221no—
476C2×C4⋊C4—1221no—
477C2×C4⋊C4—1221no—
478C2×C4⋊C4—1221no—
479C2×C4⋊C4—1221no—
480C2×C4⋊C4—1221no—
481C2×C4⋊C4—1221no—
482C2×C4⋊C4—1221no—
483C2×C4⋊C4—1221no—
484C2×C4⋊C4—1221no—
485C2×C4⋊C4—1221no—
486C2×C4⋊C4C22×D6111yescharacteristic
487C2×C4⋊C4C22×D6111yescharacteristic
488C2×C4⋊C4C22×D6111yescharacteristic
489C2×C22⋊C4—21no—
490C2×C22⋊C4—1221no—
491C2×C22⋊C4—1221no—
492C2×C42—611no—
493C2×C42—611no—
494C2×C42—1221no—
495C2×C42—1221no—
496C2×C42—1221no—
497C2×C42C22×D6111yescharacteristic
498#107—614no—
499#107—614no—
500#107—614no—
501#107C22×D6114yes—
502#106—614no—
503#106—614no—
504#106—614no—
505#106—614no—
506#106C22×D6114yes—
507C4⋊C8—614no—
508C4⋊C8—614no—
509C4⋊C8C22×D6114yes—
510#103—614no—
511#103—614no—
512#103—614no—
513#102—614no—
514#102C22×D6114yes—
515#102C22×D6114yes—
516C4×C8—614no—
517C4×C8—614no—
518C4×C8—614no—
519C24—21no—
520C2×Q8—614no—
521C2×Q8—614no—
522C2×Q8—612no—
523C2×Q8—1224no—
524C2×Q8—1224no—
525C2×Q8—1224no—
526C2×Q8—1221no—
527C2×Q8—1222no—
528C2×Q8—4882no—
529C2×Q8—2444no—
530C2×D4—21no—
531C2×D4—22no—
532C2×D4Q8×D6114yes—
533C2×D4C23×D6112yes—
534C22×C4—21no—
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—24no—
538C22×C4—82no—
539C22×C4—611no—
540C22×C4—611no—
541C22×C4—611no—
542C22×C4—611no—
543C22×C4—1224no—
544C22×C4—1224no—
545C22×C4—1221no—
546C22×C4—1221no—
547C22×C4—1221no—
548C22×C4—1221no—
549C22×C4—4882no—
550C22×C4—2444no—
551C22×C4D4×D6111yescharacteristic
552C22×C4D4×D6111yescharacteristic
553C22×C4C23×D6111yescharacteristic
554SD16—6116no—
555C2×C8—22no—
556C2×C8—22no—
557C2×C8—614no—
558C2×C8—612no—
559C2×C8—612no—
560C2×C8—1222no—
561C2×C8C23×D6112yes—
562C2×C8C23×D6112yes—
563C4⋊C4—24no—
564C4⋊C4—24no—
565C4⋊C4—21no—
566C4⋊C4—21no—
567C4⋊C4—21no—
568C4⋊C4—614no—
569C4⋊C4—614no—
570C4⋊C4—614no—
571C4⋊C4—612no—
572C4⋊C4—612no—
573C4⋊C4—612no—
574C4⋊C4—1224no—
575C4⋊C4—1224no—
576C4⋊C4—1224no—
577C4⋊C4—1224no—
578C4⋊C4—1224no—
579C4⋊C4—1224no—
580C4⋊C4—1224no—
581C4⋊C4—1224no—
582C4⋊C4—1221no—
583C4⋊C4—1221no—
584C4⋊C4—1221no—
585C4⋊C4—1224no—
586C4⋊C4—1224no—
587C4⋊C4—1224no—
588C4⋊C4C23×D6112yes—
589C4⋊C4C23×D6112yes—
590C4⋊C4C23×D6112yes—
591C22⋊C4—24no—
592C22⋊C4—1224no—
593C22⋊C4—1224no—
594C42—612no—
595C42—612no—
596C42—612no—
597C42—612no—
598C42—1224no—
599C42—1224no—
600C42—1224no—
601C42D4×D6112yes—
602C42C23×D6112yes—
603C23—22no—
604C23—24no—
605C23—42no—
606C23—42no—
607C23C2×D4×D6111yescharacteristic
608Q8—614no—
609Q8—1228no—
610Q8—1222no—
611Q8—1224no—
612Q8—4884no—
613Q8—2448no—
614D4—22no—
615D4—24no—
616D4C2×Q8×D6114yes—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—42no—
623C2×C4—42no—
624C2×C4—42no—
625C2×C4—84no—
626C2×C4—614no—
627C2×C4—612no—
628C2×C4—612no—
629C2×C4—612no—
630C2×C4—612no—
631C2×C4—1222no—
632C2×C4—1222no—
633C2×C4—1222no—
634C2×C4—1222no—
635C2×C4—1224no—
636C2×C4—1222no—
637C2×C4—1222no—
638C2×C4—1222no—
639C2×C4—4884no—
640C2×C4—2448no—
641C2×C4—2442no—
642C2×C4—2442no—
643C2×C4—2442no—
644C2×C4C2×D4×D6112yes—
645C2×C4C2×D4×D6112yes—
646C2×C4C2×D4×D6111yescharacteristic
647C2×C4C2×Q8×D6112yes—
648C2×C4#1451982412yes—
649C2×C4C24×D6111yescharacteristic
650C8—22no—
651C8—22no—
652C8—614no—
653C8—1222no—
654C22—24no—
655C22—48no—
656C22—42no—
657C22—42no—
658C22#1684042512yes—
659C22#135×D6112yes—
660C22#1684057212yes—
661C22C22×D4×D6111yescharacteristic
662C4—22no—
663C4—22no—
664C4—42no—
665C4—42no—
666C4—42no—
667C4—614no—
668C4—1222no—
669C4—1224no—
670C4—1222no—
671C4—1222no—
672C4—2442no—
673C4—2442no—
674C4—2442no—
675C4#1684042512yes—
676C4C22×Q8×D6111yescharacteristic
677C4C2×#1451982411yescharacteristic
678C2—44no—
679C2#2145868914yesdirect product factor
680C2C2×#1684042511yescharacteristic
681C2C2×#135×D6111yescharacteristic
682C2C2×#1684057211yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC2×C61×#478C2
socleC23×C61C22×D4
prime radicalC22×D4×C61C23
hypercenterC2×#478D61
hypocenterC61C2×#3381
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#478

Complements

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

NH ≅ G/Ntype
1. C2×#16840489C2semidirect
3. #21458689C2direct (N × H)
4. C2×#16840163C2semidirect
5. C2×#16840161C2semidirect
6. C2×#16840159C2semidirect
7. C2×#16840072C2semidirect
8. C2×#16840070C2semidirect
9. C2×#16840056C2semidirect
12. C2×#16839886C2semidirect
19. #16840489C22semidirect
41. #16840163C22semidirect
42. #16840161C22semidirect
43. #16840159C22semidirect
44. #16840072C22semidirect
45. #16840070C22semidirect
47. #16840056C22semidirect
49. #16839886C22semidirect
83. C2×#11758200Q8semidirect
229. #11758200C2×Q8semidirect
354. C2×C61#3381semidirect
418. C61C2×#3381semidirect
679. C2#21458689direct (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×#168404712
#214586892
C2×#168401632
C2×#168401612
C2×#168401592
C2×#168400722
C2×#168400702
C2×#168400562
C2×#168400642
C2×#168400402
C2×#168398862
C2×#168398532
C2×C4×#117582002
C2×C61×#4782
C2×#338161