Finite Group Databasebeta

← C2×#21458562 #30559739

Subgroups — C2×#21458562 #30559739

Order 15616.

1842 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840492C211yesmaximal, characteristic, complemented
2C2×#16840484C211yesmaximal, characteristic
3#21458562C2116yesmaximal, direct product factor
4C2×#16840124C211yesmaximal, characteristic
5C2×#16840123C211yesmaximal, characteristic
6C2×#16840111C211yesmaximal, characteristic, complemented
7C2×#16840046C211yesmaximal, characteristic, complemented
8C2×#16840051C211yesmaximal, characteristic
9C2×#16839987C211yesmaximal, characteristic
10C2×#16839985C211yesmaximal, characteristic
11C2×#16839971C211yesmaximal, characteristic, complemented
12C2×#16839891C211yesmaximal, characteristic, complemented
13C2×#16839868C211yesmaximal, characteristic, complemented
14C2×#16839867C211yesmaximal, characteristic, complemented
15C2×#16839849C211yesmaximal, characteristic
16C2×C61×#475C211yesmaximal, characteristic, complemented
17C22×Dic244C2211yescharacteristic
18C22×#11758202C2211yescharacteristic
19C22×#11758190C2211yescharacteristic
20#16840492—24no—
21#16840492C2218yescomplemented
22#16840484—24no—
23#16840484C2218yes—
24C2×#14519776—21no—
25C2×#14519776C2211yescharacteristic
26C2×#14519776C2211yescharacteristic
27C2×#14519775—21no—
28C2×#14519775—21no—
29C2×#14519775C2211yescharacteristic
30C2×#14519772—21no—
31C2×#14519771—21no—
32C2×#14519766C2211yescharacteristic
33C2×#14519765C2211yescharacteristic
34C2×#14519755—21no—
35C2×C4×Dic122C2211yescharacteristic
36C2×C4×Dic122C2211yescharacteristic
37C2×#14519742—21no—
38C2×#14519742C2211yescharacteristic
39C2×#14519742C2211yescharacteristic
40C2×#14519742C2211yescharacteristic
41C2×#14519739C2211yescharacteristic
42C2×#14519734—21no—
43#16840124C2218yes—
44#16840123C2218yes—
45#16840111C2218yescomplemented
46#16840051C2218yes—
47#16840046C2218yescomplemented
48#16839987C2218yes—
49#16839985C2218yes—
50#16839971C2218yescomplemented
51#16839891C2218yescomplemented
52#16839868C2218yescomplemented
53#16839867C2218yescomplemented
54#16839849C2218yes—
55C2×#14519708C2211yescharacteristic
56C2×#14519706C2211yescharacteristic
57C2×#14519706C2211yescharacteristic
58C2×#14519702C2211yescharacteristic
59C2×#14519701C2211yescharacteristic
60C2×#14519700C2211yescharacteristic
61C2×#14519700C2211yescharacteristic
62C2×#14519700C2211yescharacteristic
63C2×#14519699C2211yescharacteristic
64C2×#14519697C2211yescharacteristic
65C2×#14519697C2211yescharacteristic
66C2×#14519688C2211yescharacteristic
67C2×#14519687C2211yescharacteristic
68C2×C8×Dic61C2211yescharacteristic
69C2×C4⋊Q8×C61C2211yescharacteristic
70C2×C4×Q8×C61C2211yescharacteristic
71C61×#475C2218yescomplemented
72C2×#106×C61C2211yescharacteristic
73C2×#106×C61C2211yescharacteristic
74C2×C4⋊C8×C61C2211yescharacteristic
75C2×#103×C61C2211yescharacteristic
76C2×#103×C61C2211yescharacteristic
77C22×Dic122—21no—
78C22×Dic122—21no—
79C22×Dic122D411yescharacteristic
80C22×Dic122C2311yescharacteristic
81C22×Dic122C2311yescharacteristic
82C22×D244C2311yescharacteristic
83C22×C4×D61—21no—
84C2×Dic244—24no—
85C2×Dic244C2314yes—
86C2×#11758202—24no—
87C2×#11758202C2314yes—
88C2×#11758190—24no—
89C2×#11758190C2314yes—
90C22×#92418C2311yescharacteristic
91C22×#92418C2311yescharacteristic
92#14519776—28no—
93#14519776—22no—
94#14519776—22no—
95#14519776C2314yes—
96#14519776C2314yes—
97#14519775—28no—
98#14519775—28no—
99#14519775—22no—
100#14519775C2314yes—
101#14519772—28no—
102#14519771—28no—
103#14519766—22no—
104#14519766C2314yes—
105#14519765—22no—
106#14519765C2314yes—
107#14519755—28no—
108C4×Dic122—22no—
109C4×Dic122D414yes—
110C4×Dic122C2314yes—
111C4×Dic122C2314yes—
112#14519742—28no—
113#14519742—22no—
114#14519742—22no—
115#14519742—22no—
116#14519742C2314yes—
117#14519742C2314yes—
118#14519742C2314yes—
119#14519739—22no—
120#14519739C2314yes—
121#14519734—28no—
122C2×C4⋊Dic61D411yescharacteristic
123C2×C4⋊Dic61C2311yescharacteristic
124C2×#11758196—21no—
125C2×#11758196—21no—
126C2×#11758196—21no—
127C2×#11758196—21no—
128C2×#11758196—21no—
129C2×#11758196—21no—
130C2×#11758196—21no—
131C2×#11758196—21no—
132C2×#11758196D411yescharacteristic
133C2×#11758196D411yescharacteristic
134C2×#11758198—21no—
135C2×#11758198—21no—
136C2×#11758198—21no—
137C2×#11758198—21no—
138C2×#11758198—21no—
139C2×C4×Dic61—21no—
140C2×C4×Dic61—21no—
141C2×C4×Dic61—21no—
142C2×C4×Dic61—21no—
143C2×C4×Dic61C2311yescharacteristic
144C2×C4×Dic61C2311yescharacteristic
145#14519708C2314yes—
146#14519706C2314yes—
147#14519706C2314yes—
148#14519702C2314yes—
149#14519701C2314yes—
150#14519700C2314yes—
151#14519700C2314yes—
152#14519700C2314yes—
153#14519699C2314yes—
154#14519697C2314yes—
155#14519697C2314yes—
156#14519688C2314yes—
157#14519687C2314yes—
158C8×Dic61C2314yes—
159C22×Q8×C61—21no—
160C22×Q8×C61C2311yescharacteristic
161C22×C8×C61C2311yescharacteristic
162C22×C8×C61C2311yescharacteristic
163C4⋊Q8×C61—22no—
164C4⋊Q8×C61C2314yes—
165C4×Q8×C61—22no—
166C4×Q8×C61C2314yes—
167C2×C4⋊C4×C61—21no—
168C2×C4⋊C4×C61—21no—
169C2×C4⋊C4×C61C2311yescharacteristic
170C2×C4⋊C4×C61C2311yescharacteristic
171C2×C4⋊C4×C61C2311yescharacteristic
172C2×C42×C61—21no—
173C2×C42×C61C2311yescharacteristic
174#106×C61C2314yes—
175#106×C61C2314yes—
176C4⋊C8×C61C2314yes—
177#103×C61C2314yes—
178#103×C61C2314yes—
179C23×D61—21no—
180C2×Q8×C61—21no—
181C2×Q8×C61—24no—
182C2×Q8×C61—22no—
183C2×Q8×C61—22no—
184C2×Q8×C61—82no—
185C2×Q8×C61C2412yes—
186C22×C4×C61—21no—
187C22×C4×C61—21no—
188C22×C4×C61—21no—
189C22×C4×C61—21no—
190C22×C4×C61C2×D411yescharacteristic
191C22×C4×C61C2×D411yescharacteristic
192C22×C4×C61C2411yescharacteristic
193C22×Dic61—21no—
194C22×Dic61—21no—
195C22×Dic61—21no—
196C22×Dic61C2×D411yescharacteristic
197C22×Dic61C2×D411yescharacteristic
198C22×Dic61C2×D411yescharacteristic
199C22×Dic61C2×D411yescharacteristic
200C2×D244—22no—
201C2×D244—22no—
202C2×D244—21no—
203C2×D244C2412yes—
204C2×C4×D61—24no—
205C2×C4×D61—44no—
206C2×Dic122—21no—
207C2×Dic122—22no—
208C2×Dic122—24no—
209C2×Dic122—22no—
210C2×Dic122—22no—
211C2×Dic122—21no—
212C2×Dic122—24no—
213C2×Dic122—24no—
214C2×Dic122—82no—
215C2×Dic122—82no—
216C2×Dic122C2×D414yes—
217C2×Dic122#4114yes—
218C2×Dic122C2412yes—
219C2×Dic122C2412yes—
220C2×C8×C61—22no—
221C2×C8×C61—22no—
222C2×C8×C61C2412yes—
223C2×C8×C61C2412yes—
224C4⋊C4×C61—24no—
225C4⋊C4×C61—24no—
226C4⋊C4×C61—21no—
227C4⋊C4×C61—21no—
228C4⋊C4×C61—21no—
229C4⋊C4×C61C2412yes—
230C4⋊C4×C61C2412yes—
231C4⋊C4×C61C2412yes—
232C42×C61—24no—
233C42×C61C2×D412yes—
234C42×C61C2412yes—
235#11758202—28no—
236#11758198—24no—
237#11758198—24no—
238#11758198—24no—
239#11758198—24no—
240#11758198—24no—
241C4⋊Dic61—21no—
242C4⋊Dic61C2×D414yes—
243C4⋊Dic61C2412yes—
244#11758196—24no—
245#11758196—24no—
246#11758196—24no—
247#11758196—24no—
248#11758196—24no—
249#11758196—24no—
250#11758196—24no—
251#11758196—24no—
252#11758196C2×D414yes—
253#11758196C2×D414yes—
254C4×Dic61—24no—
255C4×Dic61—24no—
256C4×Dic61—24no—
257C4×Dic61—24no—
258C4×Dic61C2×D412yes—
259C4×Dic61C2×D412yes—
260C4×Dic61C2412yes—
261C4×Dic61C2412yes—
262C2×#92418—22no—
263C2×#92418—22no—
264C2×#92418C2412yes—
265C2×#92418C2412yes—
266Dic244—28no—
267#11758190—28no—
268C23×C61C22×D411yescharacteristic
269C22×D61—22no—
270C22×D61—42no—
271C22×D61—42no—
272C22×D61—42no—
273Q8×C61—22no—
274Q8×C61—22no—
275Q8×C61—42no—
276Q8×C61—84no—
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—42no—
301C2×Dic61—42no—
302C2×Dic61#13714yes—
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—28no—
314Dic122—22no—
315Dic122—22no—
316Dic122—42no—
317Dic122—84no—
318Dic122—84no—
319Dic122C2×#4114yes—
320C8×C61—22no—
321C8×C61—22no—
322#92418—22no—
323#92418—22no—
324C2×#3369—611nomaximal, Sylow
325C22×C61#54812yes—
326C22×C61C2×#13712yes—
327C22×C61#57712yes—
328C22×C61C23×D411yescharacteristic
329C2×D61—42no—
330C2×D61—42no—
331C2×D61—42no—
332C2×D61—84no—
333C4×C61—22no—
334C4×C61—22no—
335C4×C61—42no—
336C4×C61—42no—
337C4×C61—42no—
338C4×C61—42no—
339C4×C61#54812yes—
340C4×C61C22×#4111yescharacteristic
341C4×C61C2×2−1+411yescharacteristic
342Dic61—24no—
343Dic61—22no—
344Dic61—22no—
345Dic61—22no—
346Dic61—42no—
347Dic61—42no—
348Dic61C2×#13714yes—
349C2×Q82—611no—
350C2×#556—611no—
351#3369—6116no—
352C2×#489—611no—
353C2×#489—611no—
354C2×#487—611no—
355C2×#475—611no—
356C2×#475D6111yescharacteristic, complemented
357C2×#476—611no—
358C2×#464—611no—
359C2×#464—611no—
360C2×#462—611no—
361C2×#446—611no—
362C2×#441—611no—
363C2×#441—611no—
364C2×C4×SD16—611no—
365C2×C61#336914yescomplemented
366C2×C61C2×#54811yescharacteristic
367C2×C61C22×#13711yescharacteristic
368C2×C61C2×#57711yescharacteristic
369D61—82no—
370C22×Q16—611no—
371C22×Q16—611no—
372C22×SD16—611no—
373Q82—618no—
374Q82—1224no—
375#556—618no—
376#556—1224no—
377C2×C4⋊Q8—611no—
378C2×C4⋊Q8—611no—
379C2×C4⋊Q8—611no—
380C2×C4⋊Q8—1221no—
381C2×C4⋊Q8—1221no—
382C2×C4⋊Q8—1221no—
383C2×C4⋊Q8C2×D6111yescharacteristic
384C2×#126—1221no—
385C2×#126—1221no—
386C2×#124—611no—
387C2×#124—611no—
388C2×C22⋊Q8—1221no—
389C2×C4×Q8—611no—
390C2×C4×Q8—611no—
391C2×C4×Q8—611no—
392C2×C4×Q8—611no—
393C2×C4×Q8—611no—
394C2×C4×Q8—1221no—
395C2×C4×Q8C2×D6111yescharacteristic
396C2×C4×D4—611no—
397C2×#117—1221no—
398#489—618no—
399#489—618no—
400#487—618no—
401#476—618no—
402#475—618no—
403#475C2×D6118yescomplemented
404#464—618no—
405#464—618no—
406#462—618no—
407#446—618no—
408#441—618no—
409#441—618no—
410C4×SD16—618no—
411C2×#106—611no—
412C2×#106C2×D6111yescharacteristic
413C2×#106C2×D6111yescharacteristic
414C2×C4⋊C8—611no—
415C2×C4⋊C8—611no—
416C2×C4⋊C8C2×D6111yescharacteristic
417C2×#103—611no—
418C2×#103—611no—
419C2×#103—611no—
420C2×#103—611no—
421C2×#103—611no—
422C2×#103C2×D6111yescharacteristic
423C2×#103C2×D6111yescharacteristic
424C2×#102—611no—
425C2×#102—611no—
426C2×#102—611no—
427C2×#97—611no—
428C2×#97—611no—
429C2×C4×C8—611no—
430C61C2×#336911yescharacteristic, complemented, Sylow
431C22×Q8—21no—
432C22×Q8—611no—
433C22×Q8—611no—
434C22×Q8—611no—
435C22×Q8—1221no—
436C22×Q8—1221no—
437C22×Q8C22×D6111yescharacteristic
438C22×D4—611no—
439C23×C4—1221no—
440C2×Q16—614no—
441C2×Q16—614no—
442C2×Q16—1224no—
443C2×Q16—1224no—
444C2×SD16—614no—
445C2×SD16—1224no—
446C22×C8—611no—
447C22×C8—611no—
448C22×C8C22×D6111yescharacteristic
449C22×C8C22×D6111yescharacteristic
450C4⋊Q8—22no—
451C4⋊Q8—614no—
452C4⋊Q8—614no—
453C4⋊Q8—614no—
454C4⋊Q8—1222no—
455C4⋊Q8—1222no—
456C4⋊Q8—1222no—
457C4⋊Q8—1228no—
458C4⋊Q8—1228no—
459C4⋊Q8—1228no—
460C4⋊Q8C22×D6114yes—
461#126—1228no—
462#126—1228no—
463#124—614no—
464#124—614no—
465#124—1222no—
466#124—1222no—
467C22⋊Q8—1228no—
468C4×Q8—22no—
469C4×Q8—614no—
470C4×Q8—614no—
471C4×Q8—614no—
472C4×Q8—614no—
473C4×Q8—614no—
474C4×Q8—614no—
475C4×Q8—1222no—
476C4×Q8—1222no—
477C4×Q8—1222no—
478C4×Q8—1228no—
479C4×Q8—1222no—
480C4×Q8C22×D6114yes—
481C4×D4—614no—
482C4×D4—1222no—
483#117—1228no—
484C2×C4⋊C4—21no—
485C2×C4⋊C4—21no—
486C2×C4⋊C4—611no—
487C2×C4⋊C4—611no—
488C2×C4⋊C4—611no—
489C2×C4⋊C4—611no—
490C2×C4⋊C4—1221no—
491C2×C4⋊C4—1221no—
492C2×C4⋊C4—1221no—
493C2×C4⋊C4—1221no—
494C2×C4⋊C4—1221no—
495C2×C4⋊C4—1221no—
496C2×C4⋊C4—1221no—
497C2×C4⋊C4—1221no—
498C2×C4⋊C4C22×D6111yescharacteristic
499C2×C4⋊C4C22×D6111yescharacteristic
500C2×C4⋊C4C22×D6111yescharacteristic
501C2×C22⋊C4—1221no—
502C2×C22⋊C4—1221no—
503C2×C22⋊C4—1221no—
504C2×C22⋊C4—1221no—
505C2×C22⋊C4—1221no—
506C2×C42—21no—
507C2×C42—611no—
508C2×C42—611no—
509C2×C42—1221no—
510C2×C42—1221no—
511C2×C42—1221no—
512C2×C42—1221no—
513C2×C42C22×D6111yescharacteristic
514#106—614no—
515#106C22×D6114yes—
516#106C22×D6114yes—
517C4⋊C8—614no—
518C4⋊C8—614no—
519C4⋊C8C22×D6114yes—
520#103—614no—
521#103—614no—
522#103—614no—
523#103—614no—
524#103—614no—
525#103C22×D6114yes—
526#103C22×D6114yes—
527#102—614no—
528#102—614no—
529#102—614no—
530#97—614no—
531#97—614no—
532C4×C8—614no—
533C24—1221no—
534C2×Q8—21no—
535C2×Q8—24no—
536C2×Q8—22no—
537C2×Q8—22no—
538C2×Q8—82no—
539C2×Q8—614no—
540C2×Q8—614no—
541C2×Q8—612no—
542C2×Q8—612no—
543C2×Q8—1224no—
544C2×Q8—1224no—
545C2×Q8—1224no—
546C2×Q8—1221no—
547C2×Q8—1221no—
548C2×Q8—1222no—
549C2×Q8—1222no—
550C2×Q8—1222no—
551C2×Q8—4882no—
552C2×Q8—4882no—
553C2×Q8C23×D6112yes—
554C2×D4—612no—
555C2×D4—1221no—
556C2×D4—1222no—
557C2×D4—1222no—
558C22×C4—21no—
559C22×C4—21no—
560C22×C4—21no—
561C22×C4—21no—
562C22×C4—611no—
563C22×C4—611no—
564C22×C4—611no—
565C22×C4—611no—
566C22×C4—1224no—
567C22×C4—1221no—
568C22×C4—1221no—
569C22×C4—1221no—
570C22×C4—2444no—
571C22×C4D4×D6111yescharacteristic
572C22×C4D4×D6111yescharacteristic
573C22×C4C23×D6111yescharacteristic
574Q16—1228no—
575Q16—1228no—
576SD16—1228no—
577C2×C8—22no—
578C2×C8—22no—
579C2×C8—612no—
580C2×C8—612no—
581C2×C8—1222no—
582C2×C8—1222no—
583C2×C8C23×D6112yes—
584C2×C8C23×D6112yes—
585C4⋊C4—24no—
586C4⋊C4—24no—
587C4⋊C4—21no—
588C4⋊C4—21no—
589C4⋊C4—21no—
590C4⋊C4—614no—
591C4⋊C4—614no—
592C4⋊C4—614no—
593C4⋊C4—612no—
594C4⋊C4—1224no—
595C4⋊C4—1224no—
596C4⋊C4—1224no—
597C4⋊C4—1224no—
598C4⋊C4—1224no—
599C4⋊C4—1224no—
600C4⋊C4—1224no—
601C4⋊C4—1221no—
602C4⋊C4—1224no—
603C4⋊C4C23×D6112yes—
604C4⋊C4C23×D6112yes—
605C4⋊C4C23×D6112yes—
606C22⋊C4—1224no—
607C22⋊C4—1224no—
608C22⋊C4—1224no—
609C22⋊C4—1224no—
610C22⋊C4—1224no—
611C42—24no—
612C42—612no—
613C42—612no—
614C42—612no—
615C42—612no—
616C42—1224no—
617C42—1224no—
618C42—1224no—
619C42—1224no—
620C42D4×D6112yes—
621C42C23×D6112yes—
622C23—1222no—
623C23—2442no—
624C23—2442no—
625C23—2442no—
626C23C2×D4×D6111yescharacteristic
627Q8—22no—
628Q8—22no—
629Q8—42no—
630Q8—84no—
631Q8—614no—
632Q8—1228no—
633Q8—1222no—
634Q8—1224no—
635Q8—1222no—
636Q8—1222no—
637Q8—4884no—
638Q8—4884no—
639Q8—2442no—
640D4—1222no—
641D4—1222no—
642D4—2442no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—42no—
650C2×C4—42no—
651C2×C4—42no—
652C2×C4—42no—
653C2×C4—614no—
654C2×C4—612no—
655C2×C4—612no—
656C2×C4—612no—
657C2×C4—612no—
658C2×C4—1222no—
659C2×C4—1222no—
660C2×C4—1222no—
661C2×C4—1222no—
662C2×C4—1224no—
663C2×C4—1222no—
664C2×C4—1222no—
665C2×C4—2448no—
666C2×C4—2442no—
667C2×C4—2442no—
668C2×C4C2×D4×D6112yes—
669C2×C4C2×D4×D6112yes—
670C2×C4C2×D4×D6111yescharacteristic
671C2×C4#41×D6112yes—
672C2×C4#1451982512yes—
673C2×C4C24×D6111yescharacteristic
674C8—22no—
675C8—22no—
676C8—1222no—
677C8—1222no—
678C22—4884no—
679C22—2442no—
680C22—2442no—
681C22—2442no—
682C22#1684042212yes—
683C22#137×D6112yes—
684C22#1684056812yes—
685C22C22×D4×D6111yescharacteristic
686C4—22no—
687C4—22no—
688C4—42no—
689C4—42no—
690C4—42no—
691C4—42no—
692C4—614no—
693C4—1222no—
694C4—1224no—
695C4—1222no—
696C4—1222no—
697C4—2442no—
698C4—2442no—
699C4#1684042212yes—
700C4C2×#41×D6111yescharacteristic
701C4C2×#1451982511yescharacteristic
702C2—4882no—
703C2#2145856214yesdirect product factor
704C2C2×#1684042211yescharacteristic
705C2C2×#137×D6111yescharacteristic
706C2C2×#1684056811yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC2×C61×#475C2
socleC23×C61C22×D4
prime radicalC22×D244C23
hypercenterC2×#475D61
hypocenterC61C2×#3369
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#475

Complements

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

NH ≅ G/Ntype
1. C2×#16840492C2semidirect
3. #21458562C2direct (N × H)
6. C2×#16840111C2semidirect
7. C2×#16840046C2semidirect
11. C2×#16839971C2semidirect
12. C2×#16839891C2semidirect
13. C2×#16839868C2semidirect
14. C2×#16839867C2semidirect
16. C2×C61×#475C2semidirect
21. #16840492C22semidirect
45. #16840111C22semidirect
47. #16840046C22semidirect
50. #16839971C22semidirect
51. #16839891C22semidirect
52. #16839868C22semidirect
53. #16839867C22semidirect
71. C61×#475C22semidirect
356. C2×#475D61semidirect
365. C2×C61#3369semidirect
403. #475C2×D61semidirect
430. C61C2×#3369semidirect
703. C2#21458562direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#168404922
C2×#168404842
#214585622
C2×#168401242
C2×#168401232
C2×#168401112
C2×#168400462
C2×#168400512
C2×#168399872
C2×#168399852
C2×#168399712
C2×#168398912
C2×#168398682
C2×#168398672
C2×#168398492
C2×C61×#4752
C2×#336961