Finite Group Databasebeta

← C2×#21460325 #30587466

Subgroups — C2×#21460325 #30587466

Order 15616.

6554 conjugacy classes of subgroups.

The subgroup lattice has 668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460325C2132yesmaximal, direct product factor
2C2×#16840511C214yesmaximal, complemented
3C2×#16840497C212yesmaximal, complemented
4C2×#16840490C212yesmaximal, complemented
5C2×#16840485C212yesmaximal, complemented
6C2×#16840472C212yesmaximal, complemented
7C2×#16840444C214yesmaximal, complemented
8C2×#16840383C212yesmaximal, complemented
9C2×#16840382C214yesmaximal, complemented
10C2×#16840374C211yesmaximal, characteristic, complemented
11C2×#16840367C211yesmaximal, characteristic
12C2×#16840358C214yesmaximal, complemented
13C2×#16840296C212yesmaximal, complemented
14C2×C61×#533C211yesmaximal, characteristic, complemented
15#16840511C22164yescomplemented
16#16840497C22132yescomplemented
17#16840490C22132yescomplemented
18#16840485C22132yescomplemented
19#16840472C22132yescomplemented
20#16840444C22164yescomplemented
21#16840383C22132yescomplemented
22#16840382C22164yescomplemented
23#16840374C22116yescomplemented
24#16840367C22116yes—
25#16840358C22164yescomplemented
26C2×#14519777C2212yes—
27C2×#14519777C2211yescharacteristic
28C2×#14519775C2214yes—
29C2×#14519774C2211yescharacteristic
30#16840296C22132yescomplemented
31C2×#14519772C2214yes—
32C2×#14519772C2214yes—
33C2×#14519772C2214yes—
34C2×#14519771C2214yes—
35C2×#14519770C2214yes—
36C2×#14519769C2212yes—
37C2×#14519769C2211yescharacteristic
38C2×#14519769C2211yescharacteristic
39C2×#14519767C2214yes—
40C2×#14519767C2214yes—
41C2×#14519767C2214yes—
42C2×#14519766C2214yes—
43C2×#14519765C2212yes—
44C2×#14519765C2212yes—
45C2×#14519763C2214yes—
46C2×#14519762C2214yes—
47C2×#14519762C2214yes—
48C2×#14519762C2214yes—
49C2×#14519760C2214yes—
50C2×#14519759C2214yes—
51C2×#14519756C2212yes—
52C2×#14519755C2214yes—
53C2×#14519755C2214yes—
54C2×#14519755C2214yes—
55C2×#14519753C2214yes—
56C2×#14519753C2214yes—
57C2×#14519751C2212yes—
58C2×#14519750C2214yes—
59C2×C4×Dic122C2212yes—
60C2×C4×Dic122C2212yes—
61C2×C4×Dic122C2212yes—
62C2×#14519742C2214yes—
63C2×C4×D244C2212yes—
64C2×C4×D244C2212yes—
65C2×C4×D244C2212yes—
66C2×#14519739C2214yes—
67C2×C4×C22⋊D61C2214yes—
68C2×#14519735C2214yes—
69C2×#14519734C2214yes—
70C2×C4⋊C4×D61C2214yes—
71C61×#533C22116yescomplemented
72C2×C4⋊Q8×C61C2212yes—
73C2×#125×C61C2212yes—
74C2×C22⋊Q8×C61C2212yes—
75C2×C22⋊Q8×C61C2212yes—
76C2×C4×Q8×C61C2212yes—
77C2×C4×Q8×C61C2212yes—
78C2×#117×C61C2211yescharacteristic
79C2×#117×C61C2211yescharacteristic
80C22×C42×C61C2211yescharacteristic
81C22×Dic122C2312yes—
82C22×Dic122C2314yes—
83C22×D244C2312yes—
84C22×D244C2314yes—
85C22×C22⋊D61C2314yes—
86C22×C4×D61C2314yes—
87C22×C4×D61C2314yes—
88C22×C4×D61C2314yes—
89#14519777C23116yes—
90#14519777C2318yes—
91#14519775C23132yes—
92#14519774C2318yes—
93#14519772C23132yes—
94#14519772C23132yes—
95#14519772C23132yes—
96#14519771C23132yes—
97#14519770C23132yes—
98#14519769C2318yes—
99#14519769C23116yes—
100#14519769C2318yes—
101#14519767C23132yes—
102#14519767C23132yes—
103#14519767C23132yes—
104#14519766C23132yes—
105#14519765C23116yes—
106#14519765C23116yes—
107#14519763C23132yes—
108#14519762C23132yes—
109#14519762C23132yes—
110#14519762C23132yes—
111#14519760C23132yes—
112#14519759C23132yes—
113#14519756C23116yes—
114#14519755C23132yes—
115#14519755C23132yes—
116#14519755C23132yes—
117#14519753C23132yes—
118#14519753C23132yes—
119#14519751C23116yes—
120#14519750C23132yes—
121C4×Dic122C23116yes—
122C4×Dic122C23116yes—
123C4×Dic122C23116yes—
124#14519742C23132yes—
125C4×D244C23116yes—
126C4×D244C23116yes—
127C4×D244C23116yes—
128#14519739C23132yes—
129C4×C22⋊D61C23132yes—
130#14519735C23132yes—
131#14519734C23132yes—
132C2×C4⋊Dic61C2314yes—
133C2×C4⋊Dic61C2314yes—
134C2×C4⋊Dic61C2312yes—
135C2×C4⋊Dic61C2312yes—
136C2×#11758196C2314yes—
137C2×#11758196C2314yes—
138C2×#11758196C2314yes—
139C2×#11758196C2314yes—
140C2×#11758196C2314yes—
141C2×#11758196C2314yes—
142C2×#11758196C2314yes—
143C2×#11758196C2314yes—
144C4⋊C4×D61C23132yes—
145C2×C22⋊Dic61C2314yes—
146C2×#11758198C2314yes—
147C2×#11758198C2314yes—
148C2×#11758198C2314yes—
149C2×#11758198C2314yes—
150C2×#11758198C2314yes—
151C2×#11758198C2314yes—
152C2×#11758198C2314yes—
153C2×#11758198C2314yes—
154C2×C4×Dic61C2314yes—
155C2×C4×Dic61C2314yes—
156C2×C4×Dic61C2314yes—
157C22×Q8×C61C2312yes—
158C22×Q8×C61C2312yes—
159C23×C4×C61C2311yescharacteristic
160C23×C4×C61C2312yes—
161C4⋊Q8×C61C23116yes—
162#125×C61C23116yes—
163C22⋊Q8×C61C23116yes—
164C22⋊Q8×C61C23116yes—
165C4×Q8×C61C23116yes—
166C4×Q8×C61C23116yes—
167#117×C61C2318yes—
168#117×C61C2318yes—
169C2×C4⋊C4×C61C2312yes—
170C2×C4⋊C4×C61C2312yes—
171C2×C4⋊C4×C61C2312yes—
172C2×C4⋊C4×C61C2312yes—
173C2×C4⋊C4×C61C2312yes—
174C2×C4⋊C4×C61C2312yes—
175C2×C4⋊C4×C61C2312yes—
176C2×C4⋊C4×C61C2312yes—
177C2×C22⋊C4×C61C2312yes—
178C2×C22⋊C4×C61C2311yescharacteristic
179C2×C22⋊C4×C61C2311yescharacteristic
180C2×C42×C61C2311yescharacteristic
181C2×C42×C61C2318yes—
182C2×C42×C61C2311yescharacteristic
183C2×C42×C61C2311yescharacteristic
184C2×C42×C61C2312yes—
185C2×C42×C61C2312yes—
186C2×C42×C61C2311yescharacteristic
187C24×C61C2411yescharacteristic
188C23×D61C2414yes—
189C2×Q8×C61—44no—
190C2×Q8×C61—44no—
191C2×Q8×C61C2418yes—
192C2×Q8×C61C2418yes—
193C22×C4×C61—24no—
194C22×C4×C61—44no—
195C22×C4×C61C2412yes—
196C22×C4×C61C2412yes—
197C22×C4×C61C2412yes—
198C22×C4×C61C2412yes—
199C22×C4×C61C2412yes—
200C22×C4×C61C2411yescharacteristic
201C22×C4×C61C2412yes—
202C22×C4×C61C2414yes—
203C22×C4×C61C2418yes—
204C22×C4×C61C2411yescharacteristic
205C2×C22⋊D61—48no—
206C2×C22⋊D61C24116yes—
207C22×Dic61C2414yes—
208C22×Dic61C2414yes—
209C22×Dic61C2414yes—
210C2×D244—28no—
211C2×D244—48no—
212C2×D244C2418yes—
213C2×D244C24116yes—
214C2×C4×D61—48no—
215C2×C4×D61—48no—
216C2×C4×D61—48no—
217C2×C4×D61C24116yes—
218C2×C4×D61C24116yes—
219C2×C4×D61C24116yes—
220C2×Dic122—28no—
221C2×Dic122—48no—
222C2×Dic122C2418yes—
223C2×Dic122C24116yes—
224C4⋊C4×C61C2418yes—
225C4⋊C4×C61C2418yes—
226C4⋊C4×C61C2418yes—
227C4⋊C4×C61C2418yes—
228C4⋊C4×C61C2418yes—
229C4⋊C4×C61C2418yes—
230C4⋊C4×C61C2418yes—
231C4⋊C4×C61C2418yes—
232C22⋊C4×C61C2418yes—
233C22⋊C4×C61C2414yes—
234C22⋊C4×C61C2414yes—
235C42×C61C2418yes—
236C42×C61C2414yes—
237C42×C61C2414yes—
238C42×C61C2414yes—
239C42×C61C2418yes—
240C42×C61C2414yes—
241C22⋊Dic61C24116yes—
242#11758198C24116yes—
243#11758198C24116yes—
244#11758198C24116yes—
245#11758198C24116yes—
246#11758198C24116yes—
247#11758198C24116yes—
248#11758198C24116yes—
249#11758198C24116yes—
250C4⋊Dic61C24116yes—
251C4⋊Dic61C24116yes—
252C4⋊Dic61C2418yes—
253C4⋊Dic61C2418yes—
254#11758196C24116yes—
255#11758196C24116yes—
256#11758196C24116yes—
257#11758196C24116yes—
258#11758196C24116yes—
259#11758196C24116yes—
260#11758196C24116yes—
261#11758196C24116yes—
262C4×Dic61C24116yes—
263C4×Dic61C24116yes—
264C4×Dic61C24116yes—
265C23×C61—22no—
266C23×C61—24no—
267C23×C61C2512yes—
268C23×C61C2511yescharacteristic
269C22×D61—28no—
270C22×D61—28no—
271C22×D61—28no—
272C22×D61C2518yes—
273Q8×C61—48no—
274Q8×C61—48no—
275C2×C4×C61—22no—
276C2×C4×C61—24no—
277C2×C4×C61—24no—
278C2×C4×C61—24no—
279C2×C4×C61—24no—
280C2×C4×C61—24no—
281C2×C4×C61—24no—
282C2×C4×C61—28no—
283C2×C4×C61—48no—
284C2×C4×C612−1+414yes—
285C2×C4×C61C2514yes—
286C2×C4×C61C2514yes—
287C2×C4×C61C2514yes—
288C2×C4×C61C2512yes—
289C2×C4×C61C2514yes—
290C2×C4×C61C2514yes—
291C2×C4×C61C2514yes—
292C2×C4×C61C2512yes—
293C22⋊D61—416no—
294C2×Dic61—28no—
295C2×Dic61—28no—
296C2×Dic61—28no—
297C2×Dic61C2518yes—
298C2×Dic61C2518yes—
299C2×Dic61C2518yes—
300D244—216no—
301D244—416no—
302C4×D61—416no—
303C4×D61—416no—
304C4×D61—416no—
305Dic122—216no—
306Dic122—416no—
307C2×#3557—611nomaximal, Sylow
308C22×C61—22no—
309C22×C61—24no—
310C22×C61—44no—
311C22×C61C2×2−1+412yes—
312C22×C61#58514yes—
313C22×C61C2611yescharacteristic
314C2×D61—28no—
315C2×D61—28no—
316C2×D61—28no—
317C2×D61—416no—
318C4×C61—22no—
319C4×C61—24no—
320C4×C61—24no—
321C4×C61—24no—
322C4×C61—24no—
323C4×C61—24no—
324C4×C61—24no—
325C4×C61C2×2−1+414yes—
326Dic61—28no—
327Dic61—28no—
328Dic61—28no—
329#3557—6132no—
330C2×#563—614no—
331C2×#559—612no—
332C2×#557—612no—
333C2×#556—612no—
334C2×#554—612no—
335C2×#552—614no—
336C2×#542—614no—
337C2×#542—612no—
338C2×#541—611no—
339C2×#540—611no—
340C2×#539—614no—
341C2×#533D6111yescharacteristic, complemented
342C2×#529—612no—
343C2×C61—42no—
344C2×C61#355714yescomplemented
345C2×C61C22×2−1+411yescharacteristic
346C2×C61C2×#58512yes—
347D61—48no—
348#563—6164no—
349#559—6132no—
350#557—6132no—
351#556—6132no—
352#554—6132no—
353#552—6164no—
354#542—6164no—
355#542—6132no—
356#541—6116no—
357#540—6116no—
358#539—6164no—
359#533C2×D61116yescomplemented
360C2×C4⋊Q8—614no—
361C2×C4⋊Q8—611no—
362C2×C4⋊Q8—612no—
363C2×C4⋊Q8C2×D6112yes—
364C2×#127—611no—
365#529—6132no—
366C2×#126—614no—
367C2×#126—614no—
368C2×#126—614no—
369C2×#126—614no—
370C2×#126—614no—
371C2×#125—614no—
372C2×#125—614no—
373C2×#125—614no—
374C2×#125—612no—
375C2×#125—611no—
376C2×#125—611no—
377C2×#125C2×D6112yes—
378C2×#124—614no—
379C2×#124—614no—
380C2×#124—612no—
381C2×#124—612no—
382C2×#123—614no—
383C2×#123—614no—
384C2×#123—614no—
385C2×#123—614no—
386C2×#123—614no—
387C2×C22⋊Q8—614no—
388C2×C22⋊Q8—614no—
389C2×C22⋊Q8—612no—
390C2×C22⋊Q8—614no—
391C2×C22⋊Q8—614no—
392C2×C22⋊Q8—614no—
393C2×C22⋊Q8C2×D6112yes—
394C2×C22⋊Q8C2×D6112yes—
395C2×#121—612no—
396C2×#121—614no—
397C2×C4×Q8—614no—
398C2×C4×Q8—612no—
399C2×C4×Q8—612no—
400C2×C4×Q8—612no—
401C2×C4×Q8C2×D6112yes—
402C2×C4×Q8C2×D6112yes—
403C2×C4×D4—614no—
404C2×C4×D4—614no—
405C2×C4×D4—612no—
406C2×C4×D4—612no—
407C2×C4×D4—612no—
408C2×#117—614no—
409C2×#117—614no—
410C2×#117C2×D6111yescharacteristic
411C2×#117C2×D6111yescharacteristic
412C22×C4⋊C4—614no—
413C22×C42C2×D6111yescharacteristic
414C61C2×#355711yescharacteristic, complemented, Sylow
415C22×Q8—612no—
416C22×Q8—614no—
417C22×Q8C22×D6112yes—
418C22×Q8C22×D6112yes—
419C22×D4—614no—
420C22×D4—612no—
421C22×D4—614no—
422C23×C4—614no—
423C23×C4—614no—
424C23×C4—614no—
425C23×C4C22×D6111yescharacteristic
426C23×C4C22×D6112yes—
427C4⋊Q8—6132no—
428C4⋊Q8—618no—
429C4⋊Q8—6116no—
430C4⋊Q8C22×D61116yes—
431#127—618no—
432#126—6132no—
433#126—6132no—
434#126—6132no—
435#126—6132no—
436#126—6132no—
437#125—6132no—
438#125—6132no—
439#125—6132no—
440#125—6116no—
441#125—618no—
442#125—618no—
443#125C22×D61116yes—
444#124—6132no—
445#124—6132no—
446#124—6116no—
447#124—6116no—
448#123—6132no—
449#123—6132no—
450#123—6132no—
451#123—6132no—
452#123—6132no—
453C22⋊Q8—6132no—
454C22⋊Q8—6132no—
455C22⋊Q8—6116no—
456C22⋊Q8—6132no—
457C22⋊Q8—6132no—
458C22⋊Q8—6132no—
459C22⋊Q8C22×D61116yes—
460C22⋊Q8C22×D61116yes—
461#121—6116no—
462#121—6132no—
463C4×Q8—6132no—
464C4×Q8—6116no—
465C4×Q8—6116no—
466C4×Q8—6116no—
467C4×Q8C22×D61116yes—
468C4×Q8C22×D61116yes—
469C4×D4—6132no—
470C4×D4—6132no—
471C4×D4—6116no—
472C4×D4—6116no—
473C4×D4—6116no—
474#117—6132no—
475#117—6132no—
476#117C22×D6118yes—
477#117C22×D6118yes—
478C2×C4⋊C4—614no—
479C2×C4⋊C4—614no—
480C2×C4⋊C4—614no—
481C2×C4⋊C4—614no—
482C2×C4⋊C4—614no—
483C2×C4⋊C4—612no—
484C2×C4⋊C4—612no—
485C2×C4⋊C4—614no—
486C2×C4⋊C4—614no—
487C2×C4⋊C4—614no—
488C2×C4⋊C4—614no—
489C2×C4⋊C4—614no—
490C2×C4⋊C4—6132no—
491C2×C4⋊C4C22×D6112yes—
492C2×C4⋊C4C22×D6112yes—
493C2×C4⋊C4C22×D6112yes—
494C2×C4⋊C4C22×D6112yes—
495C2×C4⋊C4C22×D6112yes—
496C2×C4⋊C4C22×D6112yes—
497C2×C4⋊C4C22×D6112yes—
498C2×C4⋊C4C22×D6112yes—
499C2×C22⋊C4—614no—
500C2×C22⋊C4—614no—
501C2×C22⋊C4—614no—
502C2×C22⋊C4—614no—
503C2×C22⋊C4—614no—
504C2×C22⋊C4—614no—
505C2×C22⋊C4—614no—
506C2×C22⋊C4—614no—
507C2×C22⋊C4—614no—
508C2×C22⋊C4C22×D6112yes—
509C2×C22⋊C4C22×D6111yescharacteristic
510C2×C22⋊C4C22×D6111yescharacteristic
511C2×C42—614no—
512C2×C42—614no—
513C2×C42—614no—
514C2×C42C22×D6111yescharacteristic
515C2×C42C22×D6111yescharacteristic
516C2×C42C22×D6112yes—
517C2×C42C22×D6111yescharacteristic
518C2×C42C22×D6112yes—
519C2×C42C22×D6111yescharacteristic
520C2×C42C22×D6118yes—
521C24—614no—
522C24C23×D6111yescharacteristic
523C2×Q8—44no—
524C2×Q8—44no—
525C2×Q8—618no—
526C2×Q8—6116no—
527C2×Q8—1228no—
528C2×Q8—2448no—
529C2×Q8C23×D6118yes—
530C2×Q8C23×D6118yes—
531C2×D4—6116no—
532C2×D4—618no—
533C2×D4—6116no—
534C2×D4—1228no—
535C2×D4—2448no—
536C2×D4—2448no—
537C22×C4—24no—
538C22×C4—44no—
539C22×C4—614no—
540C22×C4—614no—
541C22×C4—614no—
542C22×C4—6116no—
543C22×C4—6116no—
544C22×C4—6116no—
545C22×C4—2448no—
546C22×C4—2448no—
547C22×C4—2448no—
548C22×C4C23×D6114yes—
549C22×C4C23×D6112yes—
550C22×C4C23×D6112yes—
551C22×C4C23×D6112yes—
552C22×C4C23×D6111yescharacteristic
553C22×C4C23×D6112yes—
554C22×C4C23×D6112yes—
555C22×C4C23×D6112yes—
556C22×C4C23×D6118yes—
557C22×C4C23×D6111yescharacteristic
558C4⋊C4—6116no—
559C4⋊C4—6116no—
560C4⋊C4—6116no—
561C4⋊C4—6116no—
562C4⋊C4—6116no—
563C4⋊C4—6116no—
564C4⋊C4—6116no—
565C4⋊C4—6116no—
566C4⋊C4—6116no—
567C4⋊C4—6116no—
568C4⋊C4—618no—
569C4⋊C4—618no—
570C4⋊C4C23×D6118yes—
571C4⋊C4C23×D6118yes—
572C4⋊C4C23×D6118yes—
573C4⋊C4C23×D6118yes—
574C4⋊C4C23×D6118yes—
575C4⋊C4C23×D6118yes—
576C4⋊C4C23×D6118yes—
577C4⋊C4C23×D6118yes—
578C22⋊C4—6116no—
579C22⋊C4—6116no—
580C22⋊C4—6116no—
581C22⋊C4—6116no—
582C22⋊C4—6116no—
583C22⋊C4—6116no—
584C22⋊C4—6116no—
585C22⋊C4—6116no—
586C22⋊C4—6116no—
587C22⋊C4C23×D6118yes—
588C22⋊C4C23×D6114yes—
589C22⋊C4C23×D6114yes—
590C42—6116no—
591C42—6116no—
592C42—6116no—
593C42C23×D6114yes—
594C42C23×D6118yes—
595C42C23×D6114yes—
596C42C23×D6114yes—
597C42C23×D6118yes—
598C42C23×D6114yes—
599C23—22no—
600C23—24no—
601C23—618no—
602C23—1228no—
603C23—1228no—
604C23—1228no—
605C23C24×D6112yes—
606C23C24×D6111yescharacteristic
607Q8—48no—
608Q8—48no—
609Q8—12216no—
610Q8—24416no—
611D4—12216no—
612D4—24416no—
613D4—24416no—
614C2×C4—22no—
615C2×C4—24no—
616C2×C4—24no—
617C2×C4—24no—
618C2×C4—24no—
619C2×C4—24no—
620C2×C4—24no—
621C2×C4—28no—
622C2×C4—48no—
623C2×C4—618no—
624C2×C4—618no—
625C2×C4—618no—
626C2×C4—1228no—
627C2×C4—1228no—
628C2×C4—1228no—
629C2×C4—24416no—
630C2×C4—24416no—
631C2×C4—24416no—
632C2×C4#1451982514yes—
633C2×C4C24×D6114yes—
634C2×C4C24×D6114yes—
635C2×C4C24×D6114yes—
636C2×C4C24×D6112yes—
637C2×C4C24×D6114yes—
638C2×C4C24×D6114yes—
639C2×C4C24×D6114yes—
640C2×C4C24×D6112yes—
641C22—22no—
642C22—24no—
643C22—44no—
644C22—1228no—
645C22—1228no—
646C22—1228no—
647C22—24416no—
648C22C2×#1451982512yes—
649C22#1684059814yes—
650C22C25×D6111yescharacteristic
651C4—22no—
652C4—24no—
653C4—24no—
654C4—24no—
655C4—24no—
656C4—24no—
657C4—24no—
658C4—1228no—
659C4—1228no—
660C4—1228no—
661C4C2×#1451982514yes—
662C2—42no—
663C2—2448no—
664C2#2146032514yesdirect product factor
665C2C22×#1451982511yescharacteristic
666C2C2×#1684059812yes—
subgroupG/H
centerC23C24×D61
commutator, cosocleC22×C61C26
FrattiniC22C25×D61
FittingC2×C61×#533C2
socleC23×C61C25
prime radicalC2×#16840367C2
hypercenterC2×#533D61
hypocenterC61C2×#3557
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×#533

Complements

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

NH ≅ G/Ntype
1. #21460325C2direct (N × H)
2. C2×#16840511C2semidirect
3. C2×#16840497C2semidirect
4. C2×#16840490C2semidirect
5. C2×#16840485C2semidirect
6. C2×#16840472C2semidirect
7. C2×#16840444C2semidirect
8. C2×#16840383C2semidirect
9. C2×#16840382C2semidirect
10. C2×#16840374C2semidirect
12. C2×#16840358C2semidirect
13. C2×#16840296C2semidirect
14. C2×C61×#533C2semidirect
15. #16840511C22semidirect
16. #16840497C22semidirect
17. #16840490C22semidirect
18. #16840485C22semidirect
19. #16840472C22semidirect
20. #16840444C22semidirect
21. #16840383C22semidirect
22. #16840382C22semidirect
23. #16840374C22semidirect
25. #16840358C22semidirect
30. #16840296C22semidirect
71. C61×#533C22semidirect
341. C2×#533D61semidirect
344. C2×C61#3557semidirect
359. #533C2×D61semidirect
414. C61C2×#3557semidirect
664. C2#21460325direct (N × H)

Maximal subgroups

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

subgroupindex
#214603252
C2×#168405112
C2×#168404972
C2×#168404902
C2×#168404852
C2×#168404722
C2×#168404442
C2×#168403832
C2×#168403822
C2×#168403742
C2×#168403672
C2×#168403582
C2×#168402962
C2×C61×#5332
C2×#355761