Finite Group Databasebeta

← C2×#21451083 #29850415

Subgroups — C2×#21451083 #29850415

Order 15616.

2182 conjugacy classes of subgroups.

The subgroup lattice has 700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21451083C2116yesmaximal, direct product factor
2C2×#16839704C211yesmaximal, characteristic, complemented
3C2×#16839702C211yesmaximal, characteristic, complemented
4C2×#16839690C211yesmaximal, characteristic
5C2×#16839685C211yesmaximal, characteristic
6C2×#16839657C211yesmaximal, characteristic, complemented
7C2×#16839656C211yesmaximal, characteristic
8C2×#16839649C211yesmaximal, characteristic, complemented
9C2×#16839648C211yesmaximal, characteristic, complemented
10C2×#16839646C211yesmaximal, characteristic, complemented
11C2×#16839637C211yesmaximal, characteristic
12C2×#16839629C211yesmaximal, characteristic, complemented
13C2×#16839623C211yesmaximal, characteristic
14C2×C4×C4⋊Dic61C211yesmaximal, characteristic, complemented
15C2×C22⋊C4×Dic61C211yesmaximal, characteristic
16C2×C61×#388C211yesmaximal, characteristic
17C24×Dic61C2211yescharacteristic
18C22×C4⋊Dic61C2211yescharacteristic
19C22×C4⋊Dic61C2211yescharacteristic
20C22×C4⋊Dic61C2211yescharacteristic
21C22×#11758196C2211yescharacteristic
22C22×#11758196C2211yescharacteristic
23C22×#11758196C2211yescharacteristic
24C22×#11758196C2211yescharacteristic
25C22×C22⋊Dic61C2211yescharacteristic
26C22×C22⋊Dic61C2211yescharacteristic
27C22×C22⋊Dic61C2211yescharacteristic
28C22×C4×Dic61C2211yescharacteristic
29C22×C4×Dic61C2211yescharacteristic
30C22×C4×Dic61C2211yescharacteristic
31#16839704C2218yescomplemented
32#16839702C2218yescomplemented
33#16839690C2218yes—
34#16839685C2218yes—
35#16839657C2218yescomplemented
36#16839656C2218yes—
37#16839649C2218yescomplemented
38#16839648C2218yescomplemented
39#16839646C2218yescomplemented
40#16839637C2218yes—
41#16839629C2218yescomplemented
42#16839623C2218yes—
43C4×C4⋊Dic61C2218yescomplemented
44C22⋊C4×Dic61C2218yes—
45C2×#14519684C2211yescharacteristic
46C2×#14519684C2211yescharacteristic
47C2×#14519684C2211yescharacteristic
48C2×#14519684C2211yescharacteristic
49C2×#14519684C2211yescharacteristic
50C2×#14519684C2211yescharacteristic
51C2×#14519684C2211yescharacteristic
52C2×#14519684C2211yescharacteristic
53C2×#14519684C2211yescharacteristic
54C2×#14519684C2211yescharacteristic
55C2×#14519684C2211yescharacteristic
56C2×#14519684C2211yescharacteristic
57C2×#14519684C2211yescharacteristic
58C2×#14519684C2211yescharacteristic
59C22×C4⋊C4×C61C2211yescharacteristic
60C22×C22⋊C4×C61C2211yescharacteristic
61C22×C22⋊C4×C61C2211yescharacteristic
62C22×C22⋊C4×C61C2211yescharacteristic
63C22×C42×C61C2211yescharacteristic
64C61×#388C2218yes—
65C2×#95×C61C2211yescharacteristic
66C2×#95×C61C2211yescharacteristic
67C23×Dic61—24no—
68C23×Dic61—24no—
69C23×Dic61—42no—
70C23×Dic61C2311yescharacteristic
71C23×Dic61C2311yescharacteristic
72C23×Dic61C2311yescharacteristic
73C23×Dic61C2311yescharacteristic
74C23×Dic61C2311yescharacteristic
75C23×Dic61C2311yescharacteristic
76C23×Dic61C2314yes—
77C23×Dic61C2311yescharacteristic
78C23×Dic61C2311yescharacteristic
79C2×C4⋊Dic61—24no—
80C2×C4⋊Dic61—24no—
81C2×C4⋊Dic61—42no—
82C2×C4⋊Dic61C2314yes—
83C2×C4⋊Dic61C2314yes—
84C2×C4⋊Dic61C2314yes—
85C2×#11758196—24no—
86C2×#11758196—24no—
87C2×#11758196—24no—
88C2×#11758196—42no—
89C2×#11758196C2314yes—
90C2×#11758196C2314yes—
91C2×#11758196C2314yes—
92C2×#11758196C2314yes—
93C2×C22⋊Dic61—24no—
94C2×C22⋊Dic61—24no—
95C2×C22⋊Dic61—42no—
96C2×C22⋊Dic61C2314yes—
97C2×C22⋊Dic61C2314yes—
98C2×C22⋊Dic61C2314yes—
99C2×C4×Dic61—24no—
100C2×C4×Dic61—42no—
101C2×C4×Dic61—42no—
102C2×C4×Dic61C2314yes—
103C2×C4×Dic61C2314yes—
104C2×C4×Dic61C2314yes—
105#14519684C2314yes—
106#14519684C2314yes—
107#14519684C2314yes—
108#14519684C2314yes—
109#14519684C2314yes—
110#14519684C2314yes—
111#14519684C2314yes—
112#14519684C2314yes—
113#14519684C2314yes—
114#14519684C2314yes—
115#14519684C2314yes—
116#14519684C2314yes—
117#14519684C2314yes—
118#14519684C2314yes—
119C25×C61C2311yescharacteristic
120C23×C4×C61C2311yescharacteristic
121C23×C4×C61C2311yescharacteristic
122C23×C4×C61C2311yescharacteristic
123C23×C4×C61C2311yescharacteristic
124C23×C4×C61C2311yescharacteristic
125C23×C4×C61C2311yescharacteristic
126C2×C4⋊C4×C61—24no—
127C2×C4⋊C4×C61C2314yes—
128C2×C22⋊C4×C61—24no—
129C2×C22⋊C4×C61—24no—
130C2×C22⋊C4×C61—24no—
131C2×C22⋊C4×C61C2314yes—
132C2×C22⋊C4×C61C2314yes—
133C2×C22⋊C4×C61C2314yes—
134C2×C42×C61—24no—
135C2×C42×C61C2314yes—
136#95×C61C2314yes—
137#95×C61C2314yes—
138C24×C61—22no—
139C24×C61—22no—
140C24×C61—22no—
141C24×C61—22no—
142C24×C61—22no—
143C24×C61—22no—
144C24×C61#4114yes—
145C24×C61C2412yes—
146C24×C61C2411yescharacteristic
147C22×C4×C61—22no—
148C22×C4×C61—22no—
149C22×C4×C61—22no—
150C22×C4×C61—22no—
151C22×C4×C61—22no—
152C22×C4×C61—22no—
153C22×C4×C61—22no—
154C22×C4×C61—22no—
155C22×C4×C61—22no—
156C22×C4×C61—22no—
157C22×C4×C61—22no—
158C22×C4×C61—22no—
159C22×C4×C61—22no—
160C22×C4×C61—22no—
161C22×C4×C61—22no—
162C22×C4×C61—22no—
163C22×C4×C61#4114yes—
164C22×C4×C61#4114yes—
165C22×C4×C61C2412yes—
166C22×C4×C61C2412yes—
167C22×C4×C61C2412yes—
168C22×C4×C61C2412yes—
169C22×C4×C61C2412yes—
170C22×C4×C61C2412yes—
171C22×Dic61—22no—
172C22×Dic61—22no—
173C22×Dic61—22no—
174C22×Dic61—22no—
175C22×Dic61—28no—
176C22×Dic61—22no—
177C22×Dic61—22no—
178C22×Dic61—22no—
179C22×Dic61—22no—
180C22×Dic61—22no—
181C22×Dic61—22no—
182C22×Dic61—22no—
183C22×Dic61—22no—
184C22×Dic61—22no—
185C22×Dic61—22no—
186C22×Dic61—22no—
187C22×Dic61—22no—
188C22×Dic61—22no—
189C22×Dic61—22no—
190C22×Dic61—22no—
191C22×Dic61—22no—
192C22×Dic61—22no—
193C22×Dic61—22no—
194C22×Dic61—28no—
195C22×Dic61—44no—
196C22×Dic61—416no—
197C22×Dic61#4114yes—
198C22×Dic61#4114yes—
199C22×Dic61C2412yes—
200C22×Dic61C2412yes—
201C22×Dic61C2412yes—
202C22×Dic61C2412yes—
203C22×Dic61C2412yes—
204C22×Dic61C2412yes—
205C22×Dic61C2412yes—
206C22×Dic61C2412yes—
207C4⋊C4×C61—28no—
208C22⋊C4×C61—28no—
209C22⋊C4×C61—28no—
210C22⋊C4×C61—28no—
211C42×C61—28no—
212C22⋊Dic61—28no—
213C22⋊Dic61—28no—
214C22⋊Dic61—44no—
215C4⋊Dic61—28no—
216C4⋊Dic61—28no—
217C4⋊Dic61—44no—
218#11758196—28no—
219#11758196—28no—
220#11758196—28no—
221#11758196—44no—
222C4×Dic61—28no—
223C4×Dic61—44no—
224C4×Dic61—44no—
225C23×C61—28no—
226C23×C61—28no—
227C23×C61—28no—
228C23×C61—22no—
229C23×C61—22no—
230C23×C61—22no—
231C23×C61—22no—
232C23×C61—22no—
233C23×C61—22no—
234C23×C61—44no—
235C23×C61—44no—
236C23×C61—44no—
237C23×C61—44no—
238C23×C61C2×#4114yes—
239C23×C61C2×#4112yes—
240C23×C61C2×#4112yes—
241C23×C61C2×#4112yes—
242C23×C61C2×#4112yes—
243C23×C61C2×#4112yes—
244C23×C61H(5,𝔽2)12yes—
245C23×C612−1+412yes—
246C23×C61C2511yescharacteristic
247C2×C4×C61—28no—
248C2×C4×C61—28no—
249C2×C4×C61—22no—
250C2×C4×C61—22no—
251C2×C4×C61—22no—
252C2×C4×C61—22no—
253C2×C4×C61—22no—
254C2×C4×C61—22no—
255C2×C4×C61—22no—
256C2×C4×C61—22no—
257C2×C4×C61—22no—
258C2×C4×C61—22no—
259C2×C4×C61—22no—
260C2×C4×C61—22no—
261C2×C4×C61—22no—
262C2×C4×C61—22no—
263C2×C4×C61—22no—
264C2×C4×C61—22no—
265C2×C4×C61—44no—
266C2×C4×C61—44no—
267C2×C4×C61—44no—
268C2×C4×C61—44no—
269C2×C4×C61C2×#4114yes—
270C2×C4×C61C2×#4114yes—
271C2×Dic61—28no—
272C2×Dic61—28no—
273C2×Dic61—22no—
274C2×Dic61—22no—
275C2×Dic61—22no—
276C2×Dic61—22no—
277C2×Dic61—22no—
278C2×Dic61—22no—
279C2×Dic61—22no—
280C2×Dic61—22no—
281C2×Dic61—22no—
282C2×Dic61—22no—
283C2×Dic61—22no—
284C2×Dic61—22no—
285C2×Dic61—22no—
286C2×Dic61—22no—
287C2×Dic61—22no—
288C2×Dic61—22no—
289C2×Dic61—22no—
290C2×Dic61—22no—
291C2×Dic61—22no—
292C2×Dic61—22no—
293C2×Dic61—22no—
294C2×Dic61—22no—
295C2×Dic61—416no—
296C2×Dic61—44no—
297C2×Dic61—44no—
298C2×Dic61—44no—
299C2×Dic61—44no—
300C2×Dic61—44no—
301C2×Dic61—44no—
302C2×Dic61C2×#4114yes—
303C2×Dic61C2×#4114yes—
304C2×#2573—611nomaximal, Sylow
305C22×C61—24no—
306C22×C61—24no—
307C22×C61—24no—
308C22×C61—416no—
309C22×C61—42no—
310C22×C61—42no—
311C22×C61—42no—
312C22×C61—42no—
313C22×C61#52914yes—
314C22×C61#52914yes—
315C22×C61#53914yes—
316C22×C61#55114yes—
317C22×C61#55214yes—
318C22×C61#55314yes—
319C22×C61#55614yes—
320C22×C61C22×#4111yescharacteristic
321C22×C61C22×#4111yescharacteristic
322C22×C61C22×#4111yescharacteristic
323C22×C61C22×#4111yescharacteristic
324C22×C61C22×#4111yescharacteristic
325C22×C61C2×H(5,𝔽2)11yescharacteristic
326C22×C61C2×2−1+411yescharacteristic
327C4×C61—24no—
328C4×C61—24no—
329C4×C61—42no—
330C4×C61—42no—
331C4×C61—42no—
332C4×C61—42no—
333Dic61—24no—
334Dic61—24no—
335Dic61—42no—
336Dic61—42no—
337Dic61—42no—
338Dic61—42no—
339Dic61—42no—
340Dic61—42no—
341#2573—6116no—
342C2×#400—611no—
343C2×#400—611no—
344C2×#397—611no—
345C2×#396—611no—
346C2×#389—611no—
347C2×#388—611no—
348C2×#388D6111yescharacteristic
349C2×#387—611no—
350C2×#387—611no—
351C2×#387—611no—
352C2×#385—611no—
353C2×#383—611no—
354C2×#381—611no—
355C2×C4×C4⋊C4—611no—
356C2×C4×C22⋊C4—611no—
357C2×C61—44no—
358C2×C61#257318yescomplemented
359C2×C61C2×#52911yescharacteristic
360C2×C61C2×#52911yescharacteristic
361C2×C61C2×#53911yescharacteristic
362C2×C61C2×#55111yescharacteristic
363C2×C61C2×#55211yescharacteristic
364C2×C61C2×#55311yescharacteristic
365C2×C61C2×#55611yescharacteristic
366C24×C4—611no—
367C22×C4⋊C4—611no—
368C22×C4⋊C4—611no—
369C22×C4⋊C4—611no—
370C22×C4⋊C4—611no—
371C22×C4⋊C4—611no—
372C22×C4⋊C4—611no—
373C22×C4⋊C4—611no—
374C22×C4⋊C4C2×D6111yescharacteristic
375C22×C22⋊C4—611no—
376C22×C22⋊C4—611no—
377C22×C22⋊C4—611no—
378C22×C22⋊C4C2×D6111yescharacteristic
379C22×C22⋊C4C2×D6111yescharacteristic
380C22×C22⋊C4C2×D6111yescharacteristic
381C22×C42—611no—
382C22×C42—611no—
383C22×C42—611no—
384C22×C42C2×D6111yescharacteristic
385#400—618no—
386#400—618no—
387#397—618no—
388#396—618no—
389#389—618no—
390#388—618no—
391#388C2×D6118yes—
392#387—618no—
393#387—618no—
394#387—618no—
395#385—618no—
396#383—618no—
397#381—618no—
398C4×C4⋊C4—618no—
399C4×C22⋊C4—618no—
400C2×#95—611no—
401C2×#95—611no—
402C2×#95—611no—
403C2×#95—611no—
404C2×#95—611no—
405C2×#95—611no—
406C2×#95—611no—
407C2×#95—611no—
408C2×#95—611no—
409C2×#95—611no—
410C2×#95—611no—
411C2×#95—611no—
412C2×#95—611no—
413C2×#95—611no—
414C2×#95C2×D6111yescharacteristic
415C2×#95C2×D6111yescharacteristic
416C61C2×#257311yescharacteristic, complemented, Sylow
417C25C22×D6111yescharacteristic
418C23×C4—611no—
419C23×C4—611no—
420C23×C4—611no—
421C23×C4—611no—
422C23×C4—611no—
423C23×C4—611no—
424C23×C4—611no—
425C23×C4—611no—
426C23×C4—614no—
427C23×C4—1224no—
428C23×C4—1224no—
429C23×C4—2442no—
430C23×C4C22×D6111yescharacteristic
431C23×C4C22×D6111yescharacteristic
432C23×C4C22×D6111yescharacteristic
433C23×C4C22×D6111yescharacteristic
434C23×C4C22×D6111yescharacteristic
435C23×C4C22×D6111yescharacteristic
436C2×C4⋊C4—24no—
437C2×C4⋊C4—614no—
438C2×C4⋊C4—614no—
439C2×C4⋊C4—614no—
440C2×C4⋊C4—614no—
441C2×C4⋊C4—614no—
442C2×C4⋊C4—614no—
443C2×C4⋊C4—614no—
444C2×C4⋊C4—1224no—
445C2×C4⋊C4—1224no—
446C2×C4⋊C4—1224no—
447C2×C4⋊C4—1224no—
448C2×C4⋊C4—1224no—
449C2×C4⋊C4—2442no—
450C2×C4⋊C4—2442no—
451C2×C4⋊C4C22×D6114yes—
452C2×C22⋊C4—24no—
453C2×C22⋊C4—24no—
454C2×C22⋊C4—24no—
455C2×C22⋊C4—614no—
456C2×C22⋊C4—614no—
457C2×C22⋊C4—614no—
458C2×C22⋊C4—1224no—
459C2×C22⋊C4—1224no—
460C2×C22⋊C4—2442no—
461C2×C22⋊C4C22×D6114yes—
462C2×C22⋊C4C22×D6114yes—
463C2×C22⋊C4C22×D6114yes—
464C2×C42—24no—
465C2×C42—614no—
466C2×C42—614no—
467C2×C42—614no—
468C2×C42—1224no—
469C2×C42—2442no—
470C2×C42—2442no—
471C2×C42C22×D6114yes—
472#95—614no—
473#95—614no—
474#95—614no—
475#95—614no—
476#95—614no—
477#95—614no—
478#95—614no—
479#95—614no—
480#95—614no—
481#95—614no—
482#95—614no—
483#95—614no—
484#95—614no—
485#95—614no—
486#95C22×D6114yes—
487#95C22×D6114yes—
488C24—22no—
489C24—22no—
490C24—22no—
491C24—22no—
492C24—22no—
493C24—22no—
494C24#1175822214yes—
495C24C23×D6112yes—
496C24C23×D6111yescharacteristic
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—614no—
514C22×C4—614no—
515C22×C4—612no—
516C22×C4—612no—
517C22×C4—612no—
518C22×C4—612no—
519C22×C4—612no—
520C22×C4—612no—
521C22×C4—612no—
522C22×C4—612no—
523C22×C4—1228no—
524C22×C4—1222no—
525C22×C4—1222no—
526C22×C4—1222no—
527C22×C4—1222no—
528C22×C4—1222no—
529C22×C4—1222no—
530C22×C4—1222no—
531C22×C4—1222no—
532C22×C4—1222no—
533C22×C4—1222no—
534C22×C4—1222no—
535C22×C4—1222no—
536C22×C4—1222no—
537C22×C4—1222no—
538C22×C4—1222no—
539C22×C4—1222no—
540C22×C4—1228no—
541C22×C4—1222no—
542C22×C4—1222no—
543C22×C4—1222no—
544C22×C4—1222no—
545C22×C4—1222no—
546C22×C4—1222no—
547C22×C4—2444no—
548C22×C4—24416no—
549C22×C4#1175822414yes—
550C22×C4#1175822414yes—
551C22×C4C23×D6112yes—
552C22×C4C23×D6112yes—
553C22×C4C23×D6112yes—
554C22×C4C23×D6112yes—
555C22×C4C23×D6112yes—
556C22×C4C23×D6112yes—
557C4⋊C4—28no—
558C4⋊C4—1228no—
559C4⋊C4—1228no—
560C4⋊C4—1228no—
561C4⋊C4—1228no—
562C4⋊C4—1228no—
563C4⋊C4—2444no—
564C4⋊C4—2444no—
565C22⋊C4—28no—
566C22⋊C4—28no—
567C22⋊C4—28no—
568C22⋊C4—1228no—
569C22⋊C4—1228no—
570C22⋊C4—2444no—
571C42—28no—
572C42—1228no—
573C42—2444no—
574C42—2444no—
575C23—28no—
576C23—28no—
577C23—22no—
578C23—22no—
579C23—22no—
580C23—22no—
581C23—22no—
582C23—22no—
583C23—28no—
584C23—44no—
585C23—44no—
586C23—44no—
587C23—44no—
588C23#41×D6112yes—
589C23#41×D6112yes—
590C23C2×#1175822412yes—
591C23C2×#1175822412yes—
592C23C2×#1175822214yes—
593C23C2×#1175822212yes—
594C23#1451982312yes—
595C23#1451982412yes—
596C23C24×D6111yescharacteristic
597C2×C4—28no—
598C2×C4—28no—
599C2×C4—22no—
600C2×C4—22no—
601C2×C4—22no—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—22no—
605C2×C4—22no—
606C2×C4—22no—
607C2×C4—22no—
608C2×C4—22no—
609C2×C4—22no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—44no—
616C2×C4—44no—
617C2×C4—44no—
618C2×C4—44no—
619C2×C4—614no—
620C2×C4—614no—
621C2×C4—1222no—
622C2×C4—1222no—
623C2×C4—1222no—
624C2×C4—1222no—
625C2×C4—1228no—
626C2×C4—1228no—
627C2×C4—1222no—
628C2×C4—1222no—
629C2×C4—1222no—
630C2×C4—1222no—
631C2×C4—1222no—
632C2×C4—1222no—
633C2×C4—1222no—
634C2×C4—1222no—
635C2×C4—1222no—
636C2×C4—1222no—
637C2×C4—1222no—
638C2×C4—1222no—
639C2×C4—1222no—
640C2×C4—1222no—
641C2×C4—1222no—
642C2×C4—1222no—
643C2×C4—1222no—
644C2×C4—1222no—
645C2×C4—24416no—
646C2×C4—2444no—
647C2×C4—2444no—
648C2×C4—2444no—
649C2×C4—2444no—
650C2×C4—2444no—
651C2×C4—2444no—
652C2×C4C2×#1175822414yes—
653C2×C4C2×#1175822414yes—
654C22—24no—
655C22—24no—
656C22—24no—
657C22—416no—
658C22—42no—
659C22—42no—
660C22—42no—
661C22—42no—
662C22#1684028914yes—
663C22#1684029214yes—
664C22#1684035314yes—
665C22#1684043614yes—
666C22#1684045214yes—
667C22#1684046414yes—
668C22#1684048114yes—
669C22C2×#41×D6111yescharacteristic
670C22C2×#41×D6111yescharacteristic
671C22C22×#1175822411yescharacteristic
672C22C22×#1175822411yescharacteristic
673C22C22×#1175822211yescharacteristic
674C22C2×#1451982311yescharacteristic
675C22C2×#1451982411yescharacteristic
676C4—24no—
677C4—24no—
678C4—42no—
679C4—42no—
680C4—42no—
681C4—42no—
682C4—1224no—
683C4—1224no—
684C4—2442no—
685C4—2442no—
686C4—2442no—
687C4—2442no—
688C4—2442no—
689C4—2442no—
690C2—44no—
691C2#2145108318yesdirect product factor
692C2C2×#1684028911yescharacteristic
693C2C2×#1684029211yescharacteristic
694C2C2×#1684035311yescharacteristic
695C2C2×#1684043611yescharacteristic
696C2C2×#1684045211yescharacteristic
697C2C2×#1684046411yescharacteristic
698C2C2×#1684048111yescharacteristic
subgroupG/H
centerC24C23×D61
commutator, cosocleC23×C61C25
FrattiniC23C24×D61
FittingC2×C61×#388C2
socleC24×C61C24
prime radicalC25×C61C23
hypercenterC2×#388D61
hypocenterC61C2×#2573
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C24 ◁ C2×#388

Complements

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

NH ≅ G/Ntype
1. #21451083C2direct (N × H)
2. C2×#16839704C2semidirect
3. C2×#16839702C2semidirect
6. C2×#16839657C2semidirect
8. C2×#16839649C2semidirect
9. C2×#16839648C2semidirect
10. C2×#16839646C2semidirect
12. C2×#16839629C2semidirect
14. C2×C4×C4⋊Dic61C2semidirect
31. #16839704C22semidirect
32. #16839702C22semidirect
35. #16839657C22semidirect
37. #16839649C22semidirect
38. #16839648C22semidirect
39. #16839646C22semidirect
41. #16839629C22semidirect
43. C4×C4⋊Dic61C22semidirect
358. C2×C61#2573semidirect
416. C61C2×#2573semidirect
691. C2#21451083direct (N × H)

Maximal subgroups

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

subgroupindex
#214510832
C2×#168397042
C2×#168397022
C2×#168396902
C2×#168396852
C2×#168396572
C2×#168396562
C2×#168396492
C2×#168396482
C2×#168396462
C2×#168396372
C2×#168396292
C2×#168396232
C2×C4×C4⋊Dic612
C2×C22⋊C4×Dic612
C2×C61×#3882
C2×#257361