Finite Group Databasebeta

← C2×#21455740 #30547789

Subgroups — C2×#21455740 #30547789

Order 15616.

2650 conjugacy classes of subgroups.

The subgroup lattice has 686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840269C211yesmaximal, characteristic
2C22×C4⋊C4×D61C211yesmaximal, characteristic, complemented
3#21455740C2116yesmaximal, direct product factor
4C2×#16840096C212yesmaximal, complemented
5C2×#16840079C212yesmaximal, complemented
6C2×#16840091C212yesmaximal, complemented
7C2×#16840074C212yesmaximal, complemented
8C2×#16839804C211yesmaximal, characteristic, complemented
9C2×#16839802C211yesmaximal, characteristic, complemented
10C2×#16839763C211yesmaximal, characteristic, complemented
11C2×#16839725C211yesmaximal, characteristic, complemented
12C2×C61×#417C211yesmaximal, characteristic, complemented
13C23×C4×D61—21no—
14C23×C4×D61C2211yescharacteristic
15C22×#11758194C2211yescharacteristic
16#16840269—24no—
17#16840269C2218yes—
18C2×#14519758—21no—
19C2×#14519753C2211yescharacteristic
20C2×#14519753C2211yescharacteristic
21C2×#14519748C2211yescharacteristic
22C2×#14519748C2211yescharacteristic
23C2×#14519745—21no—
24C2×C4×C22⋊D61—21no—
25C2×C4×C22⋊D61—21no—
26C2×#14519736C2211yescharacteristic
27C22×C4⋊Dic61C2211yescharacteristic
28C22×#11758196—21no—
29C2×C4⋊C4×D61—21no—
30C2×C4⋊C4×D61—21no—
31C2×C4⋊C4×D61—24no—
32C2×C4⋊C4×D61C2212yes—
33C2×C4⋊C4×D61C2212yes—
34C2×C4⋊C4×D61C2218yescomplemented
35#16840096C22116yescomplemented
36#16840091C22116yescomplemented
37#16840079C22116yescomplemented
38#16840074C22116yescomplemented
39#16839804C2218yescomplemented
40#16839802C2218yescomplemented
41C2×#14519711C2212yescomplemented
42C2×#14519710C2212yescomplemented
43C2×#14519709C2212yescomplemented
44C2×#14519708C2212yescomplemented
45#16839763C2218yescomplemented
46C2×#14519701C2212yescomplemented
47C2×#14519698C2212yescomplemented
48#16839725C2218yescomplemented
49C2×#14519689C2212yes—
50C2×#14519689C2212yes—
51C22×#41×C61C2211yescharacteristic
52C22×M16×C61C2211yescharacteristic
53C22×C4⋊C4×C61C2211yescharacteristic
54C61×#417C2218yescomplemented
55C2×#103×C61C2212yescomplemented
56C2×#102×C61C2212yescomplemented
57C24×D61D411yescharacteristic
58C22×C22⋊D61—21no—
59C22×C22⋊D61—21no—
60C23×Dic61—21no—
61C23×Dic61D411yescharacteristic
62C22×C4×D61—24no—
63C22×C4×D61—24no—
64C22×C4×D61—22no—
65C22×C4×D61—22no—
66C22×C4×D61—28no—
67C22×C4×D61—48no—
68C22×C4×D61D411yescharacteristic
69C22×C4×D61D411yescharacteristic
70C22×C4×D61D414yes—
71C22×C4×D61C2311yescharacteristic
72C22×C4×D61C2311yescharacteristic
73C22×C4×D61C2314yes—
74C2×#11758194—24no—
75C2×#11758194C2314yes—
76C22×#92418C2312yes—
77#14519758—28no—
78#14519753—22no—
79#14519753—22no—
80#14519753C2314yes—
81#14519753C2314yes—
82#14519748—22no—
83#14519748—22no—
84#14519748C2314yes—
85#14519748C2314yes—
86#14519745—28no—
87C4×C22⋊D61—28no—
88C4×C22⋊D61—28no—
89#14519736—22no—
90#14519736C2314yes—
91C2×C4⋊Dic61—21no—
92C2×C4⋊Dic61—22no—
93C2×C4⋊Dic61C2312yes—
94C2×C4⋊Dic61C2314yes—
95C2×C4⋊Dic61C2311yescharacteristic
96C2×C4⋊Dic61C2311yescharacteristic
97C2×#11758196—22no—
98C2×#11758196—22no—
99C2×#11758196—28no—
100C2×#11758196—21no—
101C2×#11758196—21no—
102C4⋊C4×D61—24no—
103C4⋊C4×D61—24no—
104C4⋊C4×D61—28no—
105C4⋊C4×D61—28no—
106C4⋊C4×D61C2318yes—
107C4⋊C4×D61C2318yes—
108C2×C22⋊Dic61—21no—
109C2×C22⋊Dic61—21no—
110C2×C22⋊Dic61—21no—
111C2×#11758198—21no—
112C2×#11758198—21no—
113C2×C4×Dic61—21no—
114#14519711C2318yescomplemented
115#14519710C2318yescomplemented
116#14519709C2318yescomplemented
117#14519708C2318yescomplemented
118#14519701C2318yescomplemented
119#14519698C2318yescomplemented
120#14519689C2318yes—
121#14519689C2318yes—
122C2×#41×C61—22no—
123C2×#41×C61—24no—
124C2×#41×C61—24no—
125C2×#41×C61C2314yes—
126C22×Q8×C61C2311yescharacteristic
127C22×D4×C61—21no—
128C22×D4×C61C2311yescharacteristic
129C23×C4×C61—21no—
130C23×C4×C61—21no—
131C23×C4×C61C2311yescharacteristic
132C2×M16×C61—24no—
133C2×M16×C61C2314yes—
134C22×C8×C61C2312yes—
135C2×C4⋊C4×C61—21no—
136C2×C4⋊C4×C61—22no—
137C2×C4⋊C4×C61C2312yes—
138C2×C4⋊C4×C61C2314yes—
139#103×C61C2318yescomplemented
140#102×C61C2318yescomplemented
141C24×C61—21no—
142C24×C61C2×D411yescharacteristic
143C23×D61—24no—
144C23×D61—24no—
145C23×D61—24no—
146C23×D61C2×D414yes—
147C23×D61C2×D411yescharacteristic
148C23×D61C2×D411yescharacteristic
149#41×C61—28no—
150#41×C61—28no—
151#41×C61—48no—
152C2×Q8×C61—21no—
153C2×Q8×C61—22no—
154C2×Q8×C61—22no—
155C2×Q8×C61C2412yes—
156C2×D4×C61—24no—
157C2×D4×C61—21no—
158C2×D4×C61—22no—
159C2×D4×C61—22no—
160C2×D4×C61—44no—
161C2×D4×C61C2412yes—
162C22×C4×C61—24no—
163C22×C4×C61—22no—
164C22×C4×C61—21no—
165C22×C4×C61—24no—
166C22×C4×C61—44no—
167C22×C4×C61—44no—
168C22×C4×C61C2×D411yescharacteristic
169C22×C4×C61C2×D412yes—
170C22×C4×C61#4114yes—
171C22×C4×C61#4114yes—
172C22×C4×C61C2411yescharacteristic
173C22×C4×C61C2412yes—
174C2×C22⋊D61—24no—
175C2×C22⋊D61—24no—
176C2×C22⋊D61—44no—
177C2×C22⋊D61—44no—
178C22×Dic61—24no—
179C22×Dic61—24no—
180C22×Dic61—22no—
181C22×Dic61—21no—
182C22×Dic61—21no—
183C22×Dic61—44no—
184C22×Dic61C2×D411yescharacteristic
185C22×Dic61C2×D411yescharacteristic
186C22×Dic61C2×D414yes—
187C2×C4×D61—24no—
188C2×C4×D61—24no—
189C2×C4×D61—216no—
190C2×C4×D61—22no—
191C2×C4×D61—22no—
192C2×C4×D61—28no—
193C2×C4×D61—22no—
194C2×C4×D61—22no—
195C2×C4×D61—28no—
196C2×C4×D61—28no—
197C2×C4×D61—28no—
198C2×C4×D61—48no—
199C2×C4×D61—432no—
200C2×C4×D61—48no—
201C2×C4×D61C2×D414yes—
202C2×C4×D61C2×D414yes—
203C2×C4×D61C2×D412yes—
204C2×C4×D61C2×D412yes—
205C2×C4×D61C2412yes—
206C2×C4×D61C2412yes—
207M16×C61—28no—
208C2×C8×C61—24no—
209C2×C8×C61C2414yes—
210C4⋊C4×C61—24no—
211C4⋊C4×C61—22no—
212C4⋊C4×C61C2414yes—
213C22⋊Dic61—24no—
214C22⋊Dic61—24no—
215C22⋊Dic61—24no—
216#11758198—24no—
217#11758198—24no—
218C4⋊Dic61—24no—
219C4⋊Dic61—22no—
220C4⋊Dic61—21no—
221C4⋊Dic61—21no—
222C4⋊Dic61C2414yes—
223C4⋊Dic61C2412yes—
224C4⋊Dic61C2412yes—
225#11758196—28no—
226#11758196—28no—
227#11758196—24no—
228#11758196—24no—
229C4×Dic61—24no—
230#11758194—28no—
231C2×#92418—24no—
232C2×#92418C2414yes—
233C23×C61—22no—
234C23×C61—22no—
235C23×C61—22no—
236C23×C61—42no—
237C23×C61—42no—
238C23×C61—42no—
239C23×C61#12314yes—
240C23×C61C22×D412yes—
241C23×C61C22×D411yescharacteristic
242C22×D61—232no—
243C22×D61—28no—
244C22×D61—22no—
245C22×D61—22no—
246C22×D61—22no—
247C22×D61—22no—
248C22×D61—28no—
249C22×D61—28no—
250C22×D61AGL(1,ℤ/8)14yes—
251C22×D61#13714yes—
252C22×D61C22×D412yes—
253C22×D61C22×D412yes—
254Q8×C61—22no—
255Q8×C61—22no—
256Q8×C61—42no—
257D4×C61—22no—
258D4×C61—22no—
259D4×C61—48no—
260D4×C61—42no—
261C2×C4×C61—22no—
262C2×C4×C61—24no—
263C2×C4×C61—48no—
264C2×C4×C61—42no—
265C2×C4×C61—44no—
266C2×C4×C61—48no—
267C2×C4×C61#12314yes—
268C2×C4×C61#12318yes—
269C2×C4×C61C22×D412yes—
270C2×C4×C61C22×D411yescharacteristic
271C2×C4×C61C2×#4112yes—
272C2×C4×C61C2×#4114yes—
273C2×C4×C61C2×#4112yes—
274C2×C4×C61C2×#4114yes—
275C2×C4×C61C2511yescharacteristic
276C22⋊D61—48no—
277C22⋊D61—48no—
278C2×Dic61—28no—
279C2×Dic61—22no—
280C2×Dic61—22no—
281C2×Dic61—22no—
282C2×Dic61—22no—
283C2×Dic61—24no—
284C2×Dic61—48no—
285C2×Dic61—44no—
286C2×Dic61—42no—
287C2×Dic61—42no—
288C2×Dic61C22×D412yes—
289C2×Dic61C22×D412yes—
290C4×D61—28no—
291C4×D61—28no—
292C4×D61—24no—
293C4×D61—24no—
294C4×D61—22no—
295C4×D61—22no—
296C4×D61—22no—
297C4×D61—22no—
298C4×D61—416no—
299C4×D61—416no—
300C8×C61—24no—
301#92418—24no—
302C2×#3092—611nomaximal, Sylow
303C22×C61—28no—
304C22×C61—22no—
305C22×C61—22no—
306C22×C61—42no—
307C22×C61—42no—
308C22×C61—42no—
309C22×C61—84no—
310C22×C61C2×#12314yes—
311C22×C61C2×#12312yes—
312C22×C61C2×AGL(1,ℤ/8)12yes—
313C22×C61C2×#13712yes—
314C22×C61C23×D411yescharacteristic
315C2×D61—232no—
316C2×D61—28no—
317C2×D61—28no—
318C2×D61—22no—
319C2×D61—22no—
320C2×D61—22no—
321C2×D61—22no—
322C2×D61C2×AGL(1,ℤ/8)14yes—
323C2×D61C2×#13714yes—
324C4×C61—42no—
325C4×C61—44no—
326C4×C61C2×#12314yes—
327C4×C61C2×#12312yes—
328C4×C61C22×#4111yescharacteristic
329C4×C61C22×#4111yescharacteristic
330Dic61—22no—
331Dic61—22no—
332Dic61—44no—
333Dic61—42no—
334Dic61—42no—
335C2×#525—611no—
336C23×C4⋊C4—611no—
337#3092—6116no—
338C2×#484—612no—
339C2×#481—612no—
340C2×#483—612no—
341C2×#480—612no—
342C2×#428—611no—
343C2×#428—611no—
344C2×#417—611no—
345C2×#417D6111yescharacteristic, complemented
346C2×#407—611no—
347C2×C61—24no—
348C2×C61—82no—
349C2×C61#309214yescomplemented
350C2×C61C22×#12311yescharacteristic
351C2×C61C22×AGL(1,ℤ/8)11yescharacteristic
352C2×C61C22×#13711yescharacteristic
353D61—24no—
354D61—24no—
355C22×#41C2×D6111yescharacteristic
356C24×C4—611no—
357C24×C4—1221no—
358C22×M16—611no—
359C22×M16C2×D6111yescharacteristic
360#525—618no—
361#525—1224no—
362C2×#123—1221no—
363C2×C22⋊Q8—611no—
364C2×C22⋊Q8—611no—
365C2×#121—611no—
366C2×#121—611no—
367C2×#120—1221no—
368C2×C4×D4—1221no—
369C2×C4×D4—1221no—
370C2×#117—611no—
371C22×C4⋊C4—611no—
372C22×C4⋊C4—612no—
373C22×C4⋊C4—612no—
374C22×C4⋊C4—618no—
375C22×C4⋊C4—1221no—
376C22×C4⋊C4—1221no—
377C22×C4⋊C4—1224no—
378C22×C4⋊C4—1221no—
379C22×C4⋊C4C2×D6111yescharacteristic
380#484—6116no—
381#483—6116no—
382#481—6116no—
383#480—6116no—
384#428—618no—
385#428—618no—
386C2×#107—612no—
387C2×#107—612no—
388C2×#106—612no—
389C2×#106—612no—
390#417—618no—
391#417C2×D6118yescomplemented
392C2×#103—612no—
393C2×#103C2×D6112yescomplemented
394C2×#102—612no—
395C2×#102C2×D6112yescomplemented
396#407—618no—
397C2×C22⋊C8—612no—
398C2×C22⋊C8—612no—
399C61C2×#309211yescharacteristic, complemented, Sylow
400C25—611no—
401C2×#41—22no—
402C2×#41—24no—
403C2×#41—24no—
404C2×#41C22×D6114yes—
405C22×Q8C22×D6111yescharacteristic
406C22×D4—21no—
407C22×D4—1221no—
408C22×D4—1221no—
409C22×D4C22×D6111yescharacteristic
410C23×C4—21no—
411C23×C4—21no—
412C23×C4—611no—
413C23×C4—611no—
414C23×C4—611no—
415C23×C4—614no—
416C23×C4—611no—
417C23×C4—611no—
418C23×C4—614no—
419C23×C4—1228no—
420C23×C4—1222no—
421C23×C4—1222no—
422C23×C4—1224no—
423C23×C4—1224no—
424C23×C4—1221no—
425C23×C4—2448no—
426C23×C4C22×D6111yescharacteristic
427C2×M16—24no—
428C2×M16—614no—
429C2×M16—1224no—
430C2×M16C22×D6114yes—
431C22×C8—612no—
432C22×C8C22×D6112yes—
433#123—1228no—
434C22⋊Q8—614no—
435C22⋊Q8—614no—
436C22⋊Q8—1222no—
437C22⋊Q8—1222no—
438#121—614no—
439#121—614no—
440#121—1222no—
441#121—1222no—
442#120—1228no—
443C4×D4—1228no—
444C4×D4—1228no—
445#117—614no—
446#117—1222no—
447C2×C4⋊C4—22no—
448C2×C4⋊C4—21no—
449C2×C4⋊C4—612no—
450C2×C4⋊C4—614no—
451C2×C4⋊C4—611no—
452C2×C4⋊C4—611no—
453C2×C4⋊C4—618no—
454C2×C4⋊C4—618no—
455C2×C4⋊C4—1228no—
456C2×C4⋊C4—1228no—
457C2×C4⋊C4—1224no—
458C2×C4⋊C4—1224no—
459C2×C4⋊C4—1228no—
460C2×C4⋊C4—1222no—
461C2×C4⋊C4—1222no—
462C2×C4⋊C4—1221no—
463C2×C4⋊C4—1221no—
464C2×C4⋊C4—1222no—
465C2×C4⋊C4—1221no—
466C2×C4⋊C4C22×D6112yes—
467C2×C4⋊C4C22×D6114yes—
468C2×C22⋊C4—1221no—
469C2×C22⋊C4—1221no—
470C2×C22⋊C4—1221no—
471C2×C22⋊C4—1221no—
472C2×C22⋊C4—1221no—
473C2×C42—1221no—
474#107—618no—
475#107—618no—
476#106—618no—
477#106—618no—
478#103—618no—
479#103C22×D6118yescomplemented
480#102—618no—
481#102C22×D6118yescomplemented
482C22⋊C8—618no—
483C22⋊C8—618no—
484C24—21no—
485C24—611no—
486C24—611no—
487C24—614no—
488C24—1224no—
489C24—1224no—
490C24—1224no—
491C24D4×D6111yescharacteristic
492#41—28no—
493#41—28no—
494#41—48no—
495C2×Q8—21no—
496C2×Q8—22no—
497C2×Q8—22no—
498C2×Q8C23×D6112yes—
499C2×D4—24no—
500C2×D4—21no—
501C2×D4—22no—
502C2×D4—22no—
503C2×D4—44no—
504C2×D4—1224no—
505C2×D4—1224no—
506C2×D4—2444no—
507C2×D4—2444no—
508C2×D4C23×D6112yes—
509C22×C4—24no—
510C22×C4—21no—
511C22×C4—22no—
512C22×C4—24no—
513C22×C4—44no—
514C22×C4—44no—
515C22×C4—614no—
516C22×C4—611no—
517C22×C4—611no—
518C22×C4—614no—
519C22×C4—614no—
520C22×C4—612no—
521C22×C4—612no—
522C22×C4—612no—
523C22×C4—612no—
524C22×C4—1228no—
525C22×C4—1228no—
526C22×C4—1224no—
527C22×C4—1222no—
528C22×C4—1222no—
529C22×C4—1228no—
530C22×C4—1222no—
531C22×C4—1222no—
532C22×C4—1228no—
533C22×C4—1224no—
534C22×C4—1224no—
535C22×C4—12216no—
536C22×C4—1224no—
537C22×C4—1221no—
538C22×C4—1221no—
539C22×C4—1222no—
540C22×C4—2448no—
541C22×C4—24432no—
542C22×C4—2448no—
543C22×C4—2444no—
544C22×C4#1175822214yes—
545C22×C4D4×D6112yes—
546C22×C4D4×D6111yescharacteristic
547C22×C4#1175822414yes—
548C22×C4C23×D6112yes—
549C22×C4C23×D6111yescharacteristic
550M16—28no—
551M16—1228no—
552C2×C8—24no—
553C2×C8—614no—
554C2×C8—1224no—
555C2×C8C23×D6114yes—
556C4⋊C4—24no—
557C4⋊C4—22no—
558C4⋊C4—614no—
559C4⋊C4—612no—
560C4⋊C4—612no—
561C4⋊C4—1228no—
562C4⋊C4—1228no—
563C4⋊C4—1224no—
564C4⋊C4—1224no—
565C4⋊C4—1224no—
566C4⋊C4—1222no—
567C4⋊C4—1221no—
568C4⋊C4—1221no—
569C4⋊C4C23×D6114yes—
570C22⋊C4—1224no—
571C22⋊C4—1224no—
572C22⋊C4—1224no—
573C22⋊C4—1224no—
574C22⋊C4—1224no—
575C42—1224no—
576C23—22no—
577C23—22no—
578C23—22no—
579C23—42no—
580C23—42no—
581C23—42no—
582C23—614no—
583C23—614no—
584C23—612no—
585C23—612no—
586C23—1228no—
587C23—1228no—
588C23—12232no—
589C23—1228no—
590C23—1222no—
591C23—1222no—
592C23—1222no—
593C23—1222no—
594C23#1451975914yes—
595C23C2×D4×D6112yes—
596C23C2×D4×D6111yescharacteristic
597Q8—22no—
598Q8—22no—
599Q8—42no—
600D4—22no—
601D4—22no—
602D4—48no—
603D4—42no—
604D4—2448no—
605D4—2448no—
606C2×C4—22no—
607C2×C4—24no—
608C2×C4—48no—
609C2×C4—42no—
610C2×C4—44no—
611C2×C4—48no—
612C2×C4—612no—
613C2×C4—612no—
614C2×C4—1228no—
615C2×C4—1222no—
616C2×C4—1222no—
617C2×C4—1228no—
618C2×C4—1228no—
619C2×C4—1224no—
620C2×C4—1224no—
621C2×C4—1222no—
622C2×C4—1222no—
623C2×C4—1222no—
624C2×C4—1222no—
625C2×C4—1222no—
626C2×C4—1222no—
627C2×C4—1224no—
628C2×C4—24416no—
629C2×C4—24416no—
630C2×C4—2448no—
631C2×C4—2444no—
632C2×C4—2442no—
633C2×C4—2442no—
634C2×C4#1451975914yes—
635C2×C4#1451975918yes—
636C2×C4C2×D4×D6112yes—
637C2×C4C2×D4×D6111yescharacteristic
638C2×C4C2×#1175822412yes—
639C2×C4C2×#1175822414yes—
640C2×C4C2×#1175822212yes—
641C2×C4C2×#1175822214yes—
642C2×C4C24×D6111yescharacteristic
643C8—24no—
644C8—1224no—
645C22—22no—
646C22—22no—
647C22—28no—
648C22—42no—
649C22—42no—
650C22—42no—
651C22—84no—
652C22—614no—
653C22—614no—
654C22—12232no—
655C22—1222no—
656C22—1222no—
657C22—1222no—
658C22—1222no—
659C22—1228no—
660C22—1228no—
661C22C2×#1451975914yes—
662C22C2×#1451975912yes—
663C22AGL(1,ℤ/8)×D6112yes—
664C22#137×D6112yes—
665C22C22×D4×D6111yescharacteristic
666C4—44no—
667C4—42no—
668C4—1222no—
669C4—1222no—
670C4—2444no—
671C4—2442no—
672C4—2442no—
673C4C2×#1451975914yes—
674C4C2×#1451975912yes—
675C4C22×#1175822411yescharacteristic
676C4C22×#1175822211yescharacteristic
677C2—24no—
678C2—82no—
679C2—1224no—
680C2—1224no—
681C2#2145574014yesdirect product factor
682C2C22×#1451975911yescharacteristic
683C2C2×AGL(1,ℤ/8)×D6111yescharacteristic
684C2C2×#137×D6111yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC2×C61×#417C2
socleC23×C61C22×D4
prime radicalC2×#16840269C2
hypercenterC2×#417D61
hypocenterC61C2×#3092
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#417

Complements

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

NH ≅ G/Ntype
2. C22×C4⋊C4×D61C2semidirect
3. #21455740C2direct (N × H)
4. C2×#16840096C2semidirect
5. C2×#16840079C2semidirect
6. C2×#16840091C2semidirect
7. C2×#16840074C2semidirect
8. C2×#16839804C2semidirect
9. C2×#16839802C2semidirect
10. C2×#16839763C2semidirect
11. C2×#16839725C2semidirect
12. C2×C61×#417C2semidirect
34. C2×C4⋊C4×D61C22semidirect
35. #16840096C22semidirect
36. #16840091C22semidirect
37. #16840079C22semidirect
38. #16840074C22semidirect
39. #16839804C22semidirect
40. #16839802C22semidirect
41. C2×#14519711C22semidirect
42. C2×#14519710C22semidirect
43. C2×#14519709C22semidirect
44. C2×#14519708C22semidirect
45. #16839763C22semidirect
46. C2×#14519701C22semidirect
47. C2×#14519698C22semidirect
48. #16839725C22semidirect
54. C61×#417C22semidirect
55. C2×#103×C61C22semidirect
56. C2×#102×C61C22semidirect
114. #14519711C23semidirect
115. #14519710C23semidirect
116. #14519709C23semidirect
117. #14519708C23semidirect
118. #14519701C23semidirect
119. #14519698C23semidirect
139. #103×C61C23semidirect
140. #102×C61C23semidirect
345. C2×#417D61semidirect
349. C2×C61#3092semidirect
391. #417C2×D61semidirect
393. C2×#103C2×D61semidirect
395. C2×#102C2×D61semidirect
399. C61C2×#3092semidirect
479. #103C22×D61semidirect
481. #102C22×D61semidirect
681. C2#21455740direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#168402692
C22×C4⋊C4×D612
#214557402
C2×#168400962
C2×#168400792
C2×#168400912
C2×#168400742
C2×#168398042
C2×#168398022
C2×#168397632
C2×#168397252
C2×C61×#4172
C2×#309261