Finite Group Databasebeta

← C2×#21450210 #29848985

Subgroups — C2×#21450210 #29848985

Order 15616.

2398 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
1#21450210C2116yesmaximal, direct product factor
2C2×C61⋊#401C211yesmaximal, characteristic, complemented
3C2×#16839704C211yesmaximal, characteristic, complemented
4C2×#16839701C211yesmaximal, characteristic, complemented
5C2×#16839700C211yesmaximal, characteristic, complemented
6C2×#16839648C211yesmaximal, characteristic, complemented
7C2×#16839645C211yesmaximal, characteristic, complemented
8C2×#16839643C211yesmaximal, characteristic, complemented
9C2×#16839637C211yesmaximal, characteristic
10C2×#16839635C211yesmaximal, characteristic
11C2×#16839629C211yesmaximal, characteristic, complemented
12C2×#16839623C211yesmaximal, characteristic
13C2×#16839623C211yesmaximal, characteristic
14C2×C22⋊C4×Dic61C211yesmaximal, characteristic
15C22×#14519684C211yesmaximal, characteristic
16C2×C61×#380C211yesmaximal, characteristic
17C24×Dic61C2211yescharacteristic
18C24×Dic61C2211yescharacteristic
19C22×C4⋊Dic61C2211yescharacteristic
20C22×C4⋊Dic61C2211yescharacteristic
21C22×#11758196C2211yescharacteristic
22C22×#11758196C2211yescharacteristic
23C22×C22⋊Dic61C2211yescharacteristic
24C22×C22⋊Dic61C2211yescharacteristic
25C22×C4×Dic61C2211yescharacteristic
26C22×C4×Dic61C2211yescharacteristic
27C61⋊#401C2218yescomplemented
28#16839704C2218yescomplemented
29#16839701C2218yescomplemented
30#16839700C2218yescomplemented
31#16839648C2218yescomplemented
32#16839645C2218yescomplemented
33#16839643C2218yescomplemented
34#16839637C2218yes—
35#16839635C2218yes—
36#16839629C2218yescomplemented
37#16839623C2218yes—
38#16839623C2218yes—
39C22⋊C4×Dic61C2218yes—
40C2×#14519684C2211yescharacteristic
41C2×#14519684C2211yescharacteristic
42C2×#14519684C2211yescharacteristic
43C2×#14519684C2211yescharacteristic
44C2×#14519684C2211yescharacteristic
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×#14519684C2218yes—
59C24×C4×C61C2211yescharacteristic
60C22×C4⋊C4×C61C2211yescharacteristic
61C22×C4⋊C4×C61C2211yescharacteristic
62C22×C22⋊C4×C61C2211yescharacteristic
63C22×C22⋊C4×C61C2211yescharacteristic
64C61×#380C2218yes—
65C2×#95×C61C2211yescharacteristic
66C2×#95×C61C2211yescharacteristic
67C23×Dic61—24no—
68C23×Dic61—24no—
69C23×Dic61—24no—
70C23×Dic61—24no—
71C23×Dic61—24no—
72C23×Dic61—42no—
73C23×Dic61C2311yescharacteristic
74C23×Dic61C2311yescharacteristic
75C23×Dic61C2311yescharacteristic
76C23×Dic61C2311yescharacteristic
77C23×Dic61C2311yescharacteristic
78C23×Dic61C2311yescharacteristic
79C23×Dic61C2311yescharacteristic
80C23×Dic61C2314yes—
81C23×Dic61C2314yes—
82C23×Dic61C2311yescharacteristic
83C2×C4⋊Dic61—24no—
84C2×C4⋊Dic61—42no—
85C2×C4⋊Dic61C2314yes—
86C2×C4⋊Dic61C2314yes—
87C2×#11758196—24no—
88C2×#11758196—42no—
89C2×#11758196C2314yes—
90C2×#11758196C2314yes—
91C2×C22⋊Dic61—24no—
92C2×C22⋊Dic61—24no—
93C2×C22⋊Dic61C2314yes—
94C2×C22⋊Dic61C2314yes—
95C2×C4×Dic61—24no—
96C2×C4×Dic61—42no—
97C2×C4×Dic61C2314yes—
98C2×C4×Dic61C2314yes—
99#14519684C2314yes—
100#14519684C2314yes—
101#14519684C2314yes—
102#14519684C2314yes—
103#14519684C2314yes—
104#14519684C2314yes—
105#14519684C2314yes—
106#14519684C2314yes—
107#14519684C2314yes—
108#14519684C2314yes—
109#14519684C2314yes—
110#14519684C2314yes—
111#14519684C2314yes—
112#14519684C2314yes—
113#14519684C2314yes—
114#14519684C2314yes—
115#14519684C2314yes—
116#14519684C2314yes—
117C25×C61C2311yescharacteristic
118C23×C4×C61—24no—
119C23×C4×C61—24no—
120C23×C4×C61—42no—
121C23×C4×C61C2311yescharacteristic
122C23×C4×C61C2311yescharacteristic
123C23×C4×C61C2311yescharacteristic
124C23×C4×C61C2311yescharacteristic
125C23×C4×C61C2311yescharacteristic
126C23×C4×C61C2314yes—
127C23×C4×C61C2311yescharacteristic
128C2×C4⋊C4×C61—24no—
129C2×C4⋊C4×C61—42no—
130C2×C4⋊C4×C61C2314yes—
131C2×C4⋊C4×C61C2314yes—
132C2×C22⋊C4×C61—24no—
133C2×C22⋊C4×C61—24no—
134C2×C22⋊C4×C61C2314yes—
135C2×C22⋊C4×C61C2314yes—
136#95×C61C2314yes—
137#95×C61C2314yes—
138C24×C61—22no—
139C24×C61—22no—
140C24×C61—22no—
141C24×C61—22no—
142C24×C61#4114yes—
143C24×C61#4114yes—
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—28no—
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—22no—
164C22×C4×C61—22no—
165C22×C4×C61—28no—
166C22×C4×C61—44no—
167C22×C4×C61—416no—
168C22×C4×C61#4114yes—
169C22×C4×C61C2412yes—
170C22×C4×C61C2412yes—
171C22×C4×C61C2412yes—
172C22×C4×C61C2412yes—
173C22×C4×C61C2412yes—
174C22×C4×C61C2412yes—
175C22×Dic61—22no—
176C22×Dic61—22no—
177C22×Dic61—28no—
178C22×Dic61—28no—
179C22×Dic61—28no—
180C22×Dic61—28no—
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—22no—
195C22×Dic61—22no—
196C22×Dic61—22no—
197C22×Dic61—22no—
198C22×Dic61—22no—
199C22×Dic61—22no—
200C22×Dic61—22no—
201C22×Dic61—22no—
202C22×Dic61—28no—
203C22×Dic61—44no—
204C22×Dic61—416no—
205C22×Dic61—416no—
206C22×Dic61#4114yes—
207C22×Dic61C2412yes—
208C22×Dic61C2412yes—
209C22×Dic61C2412yes—
210C22×Dic61C2412yes—
211C22×Dic61C2412yes—
212C22×Dic61C2412yes—
213C22×Dic61C2412yes—
214C22×Dic61C2412yes—
215C4⋊C4×C61—28no—
216C4⋊C4×C61—44no—
217C22⋊C4×C61—28no—
218C22⋊C4×C61—28no—
219C22⋊Dic61—28no—
220C22⋊Dic61—28no—
221C4⋊Dic61—28no—
222C4⋊Dic61—44no—
223#11758196—28no—
224#11758196—44no—
225C4×Dic61—28no—
226C4×Dic61—44no—
227C23×C61—28no—
228C23×C61—28no—
229C23×C61—28no—
230C23×C61—28no—
231C23×C61—28no—
232C23×C61—28no—
233C23×C61—22no—
234C23×C61—22no—
235C23×C61—22no—
236C23×C61—22no—
237C23×C61#126116yes—
238C23×C61C2×#4114yes—
239C23×C61C2×#4114yes—
240C23×C61C2×#4114yes—
241C23×C61C2×#4112yes—
242C23×C61C2×#4112yes—
243C23×C61C2×#4112yes—
244C23×C61C2×#4112yes—
245C23×C61C2×#4112yes—
246C23×C61H(5,𝔽2)12yes—
247C23×C612−1+412yes—
248C23×C61C2511yescharacteristic
249C2×C4×C61—28no—
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—22no—
266C2×C4×C61—22no—
267C2×C4×C61—416no—
268C2×C4×C61—44no—
269C2×C4×C61—44no—
270C2×C4×C61—44no—
271C2×C4×C61—44no—
272C2×C4×C61—44no—
273C2×C4×C61C2×#4114yes—
274C2×Dic61—28no—
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—22no—
296C2×Dic61—22no—
297C2×Dic61—22no—
298C2×Dic61—416no—
299C2×Dic61—416no—
300C2×Dic61—44no—
301C2×Dic61—44no—
302C2×Dic61—44no—
303C2×Dic61—44no—
304C2×Dic61—44no—
305C2×Dic61—44no—
306C2×Dic61—44no—
307C2×Dic61C2×#4114yes—
308C2×#2493—611nomaximal, Sylow
309C22×C61—24no—
310C22×C61—24no—
311C22×C61—24no—
312C22×C61—24no—
313C22×C61—24no—
314C22×C61—24no—
315C22×C61—232no—
316C22×C61C2×#12618yes—
317C22×C61C2×#12614yes—
318C22×C61#52914yes—
319C22×C61#53914yes—
320C22×C61#55114yes—
321C22×C61#55114yes—
322C22×C61#55214yes—
323C22×C61#55214yes—
324C22×C61C22×#4111yescharacteristic
325C22×C61C22×#4111yescharacteristic
326C22×C61C22×#4111yescharacteristic
327C22×C61C22×#4111yescharacteristic
328C22×C61C22×#4111yescharacteristic
329C22×C61C2×H(5,𝔽2)11yescharacteristic
330C22×C61C2×2−1+411yescharacteristic
331C4×C61—24no—
332C4×C61—42no—
333C4×C61—42no—
334C4×C61—42no—
335C4×C61—42no—
336C4×C61—42no—
337Dic61—24no—
338Dic61—42no—
339Dic61—42no—
340Dic61—42no—
341Dic61—42no—
342Dic61—42no—
343Dic61—42no—
344Dic61—42no—
345#2493—6116no—
346C2×#401—611no—
347C2×#400—611no—
348C2×#400—611no—
349C2×#400—611no—
350C2×#387—611no—
351C2×#387—611no—
352C2×#387—611no—
353C2×#385—611no—
354C2×#385—611no—
355C2×#383—611no—
356C2×#381—611no—
357C2×#381—611no—
358C2×#380D6111yescharacteristic
359C2×C4×C22⋊C4—611no—
360C22×#95—611no—
361C2×C61—28no—
362C2×C61#249318yescomplemented
363C2×C61C22×#12611yescharacteristic
364C2×C61C2×#52911yescharacteristic
365C2×C61C2×#53911yescharacteristic
366C2×C61C2×#55111yescharacteristic
367C2×C61C2×#55111yescharacteristic
368C2×C61C2×#55211yescharacteristic
369C2×C61C2×#55211yescharacteristic
370C24×C4—611no—
371C24×C4—611no—
372C24×C4C2×D6111yescharacteristic
373C22×C4⋊C4—611no—
374C22×C4⋊C4—611no—
375C22×C4⋊C4—611no—
376C22×C4⋊C4—611no—
377C22×C4⋊C4C2×D6111yescharacteristic
378C22×C4⋊C4C2×D6111yescharacteristic
379C22×C22⋊C4—611no—
380C22×C22⋊C4—611no—
381C22×C22⋊C4C2×D6111yescharacteristic
382C22×C22⋊C4C2×D6111yescharacteristic
383C22×C42—611no—
384C22×C42—611no—
385#401—618no—
386#400—618no—
387#400—618no—
388#400—618no—
389#387—618no—
390#387—618no—
391#387—618no—
392#385—618no—
393#385—618no—
394#383—618no—
395#381—618no—
396#381—618no—
397#380C2×D6118yes—
398C4×C22⋊C4—618no—
399C2×#95—611no—
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×#95—618no—
415C2×#95—611no—
416C2×#95—611no—
417C2×#95—611no—
418C2×#95C2×D6111yescharacteristic
419C2×#95C2×D6111yescharacteristic
420C61C2×#249311yescharacteristic, complemented, Sylow
421C25C22×D6111yescharacteristic
422C23×C4—24no—
423C23×C4—24no—
424C23×C4—42no—
425C23×C4—611no—
426C23×C4—614no—
427C23×C4—611no—
428C23×C4—611no—
429C23×C4—611no—
430C23×C4—611no—
431C23×C4—611no—
432C23×C4—611no—
433C23×C4—611no—
434C23×C4—614no—
435C23×C4—1224no—
436C23×C4—1224no—
437C23×C4—1224no—
438C23×C4—1224no—
439C23×C4—1224no—
440C23×C4—2442no—
441C23×C4C22×D6111yescharacteristic
442C23×C4C22×D6111yescharacteristic
443C23×C4C22×D6111yescharacteristic
444C23×C4C22×D6111yescharacteristic
445C23×C4C22×D6111yescharacteristic
446C23×C4C22×D6114yes—
447C23×C4C22×D6111yescharacteristic
448C2×C4⋊C4—24no—
449C2×C4⋊C4—42no—
450C2×C4⋊C4—614no—
451C2×C4⋊C4—614no—
452C2×C4⋊C4—614no—
453C2×C4⋊C4—614no—
454C2×C4⋊C4—1224no—
455C2×C4⋊C4—1224no—
456C2×C4⋊C4—2442no—
457C2×C4⋊C4—2442no—
458C2×C4⋊C4C22×D6114yes—
459C2×C4⋊C4C22×D6114yes—
460C2×C22⋊C4—24no—
461C2×C22⋊C4—24no—
462C2×C22⋊C4—614no—
463C2×C22⋊C4—614no—
464C2×C22⋊C4—1224no—
465C2×C22⋊C4—1224no—
466C2×C22⋊C4C22×D6114yes—
467C2×C22⋊C4C22×D6114yes—
468C2×C42—614no—
469C2×C42—614no—
470C2×C42—1224no—
471C2×C42—2442no—
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#95—614no—
487#95—614no—
488#95—614no—
489#95—614no—
490#95C22×D6114yes—
491#95C22×D6114yes—
492C24—22no—
493C24—22no—
494C24—22no—
495C24—22no—
496C24#1175822214yes—
497C24#1175822414yes—
498C24#1175822614yes—
499C24C23×D6112yes—
500C24C23×D6111yescharacteristic
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—28no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—28no—
520C22×C4—44no—
521C22×C4—416no—
522C22×C4—614no—
523C22×C4—612no—
524C22×C4—612no—
525C22×C4—612no—
526C22×C4—612no—
527C22×C4—612no—
528C22×C4—612no—
529C22×C4—612no—
530C22×C4—612no—
531C22×C4—1228no—
532C22×C4—1222no—
533C22×C4—1222no—
534C22×C4—1222no—
535C22×C4—1222no—
536C22×C4—1222no—
537C22×C4—1222no—
538C22×C4—1222no—
539C22×C4—1228no—
540C22×C4—1222no—
541C22×C4—1222no—
542C22×C4—1222no—
543C22×C4—1222no—
544C22×C4—1228no—
545C22×C4—1222no—
546C22×C4—1222no—
547C22×C4—1222no—
548C22×C4—1222no—
549C22×C4—1228no—
550C22×C4—1228no—
551C22×C4—1222no—
552C22×C4—1222no—
553C22×C4—1222no—
554C22×C4—1222no—
555C22×C4—1222no—
556C22×C4—1222no—
557C22×C4—1222no—
558C22×C4—1222no—
559C22×C4—2444no—
560C22×C4—24416no—
561C22×C4—24416no—
562C22×C4#1175822414yes—
563C22×C4C23×D6112yes—
564C22×C4C23×D6112yes—
565C22×C4C23×D6112yes—
566C22×C4C23×D6112yes—
567C22×C4C23×D6112yes—
568C22×C4C23×D6112yes—
569C4⋊C4—28no—
570C4⋊C4—44no—
571C4⋊C4—1228no—
572C4⋊C4—1228no—
573C4⋊C4—2444no—
574C4⋊C4—2444no—
575C22⋊C4—28no—
576C22⋊C4—28no—
577C22⋊C4—1228no—
578C22⋊C4—1228no—
579C42—1228no—
580C42—2444no—
581C23—28no—
582C23—28no—
583C23—22no—
584C23—22no—
585C23—22no—
586C23—22no—
587C23—28no—
588C23—28no—
589C23—28no—
590C23—28no—
591C23#14519772116yes—
592C23#41×D6112yes—
593C23C2×#1175822414yes—
594C23C2×#1175822412yes—
595C23C2×#1175822412yes—
596C23C2×#1175822214yes—
597C23C2×#1175822212yes—
598C23C2×#1175822614yes—
599C23C2×#1175822612yes—
600C23#1451982212yes—
601C23#1451982412yes—
602C23C24×D6111yescharacteristic
603C2×C4—22no—
604C2×C4—22no—
605C2×C4—28no—
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—22no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—416no—
622C2×C4—44no—
623C2×C4—44no—
624C2×C4—44no—
625C2×C4—44no—
626C2×C4—44no—
627C2×C4—614no—
628C2×C4—1222no—
629C2×C4—1222no—
630C2×C4—1228no—
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—1222no—
646C2×C4—1222no—
647C2×C4—1222no—
648C2×C4—1222no—
649C2×C4—1222no—
650C2×C4—1222no—
651C2×C4—1222no—
652C2×C4—24416no—
653C2×C4—2444no—
654C2×C4—24416no—
655C2×C4—2444no—
656C2×C4—2444no—
657C2×C4—2444no—
658C2×C4—2444no—
659C2×C4—2444no—
660C2×C4—2444no—
661C2×C4C2×#1175822414yes—
662C22—24no—
663C22—24no—
664C22—24no—
665C22—24no—
666C22—24no—
667C22—24no—
668C22—232no—
669C22C2×#1451977218yes—
670C22C2×#1451977214yes—
671C22#1684029314yes—
672C22#1684035714yes—
673C22#1684043814yes—
674C22#1684043914yes—
675C22#1684044514yes—
676C22#1684045414yes—
677C22C2×#41×D6111yescharacteristic
678C22C22×#1175822411yescharacteristic
679C22C22×#1175822411yescharacteristic
680C22C22×#1175822211yescharacteristic
681C22C22×#1175822611yescharacteristic
682C22C2×#1451982211yescharacteristic
683C22C2×#1451982411yescharacteristic
684C4—24no—
685C4—42no—
686C4—42no—
687C4—42no—
688C4—42no—
689C4—42no—
690C4—1224no—
691C4—2442no—
692C4—2442no—
693C4—2442no—
694C4—2442no—
695C4—2442no—
696C4—2442no—
697C4—2442no—
698C2—28no—
699C2#2145021018yesdirect product factor
700C2C22×#1451977211yescharacteristic
701C2C2×#1684029311yescharacteristic
702C2C2×#1684035711yescharacteristic
703C2C2×#1684043811yescharacteristic
704C2C2×#1684043911yescharacteristic
705C2C2×#1684044511yescharacteristic
706C2C2×#1684045411yescharacteristic
subgroupG/H
centerC24C23×D61
commutator, cosocleC23×C61C25
FrattiniC23C24×D61
FittingC2×C61×#380C2
socleC24×C61C24
prime radicalC25×C61C23
hypercenterC2×#380D61
hypocenterC61C2×#2493
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C24 ◁ C2×#380

Complements

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

NH ≅ G/Ntype
1. #21450210C2direct (N × H)
2. C2×C61⋊#401C2semidirect
3. C2×#16839704C2semidirect
4. C2×#16839701C2semidirect
5. C2×#16839700C2semidirect
6. C2×#16839648C2semidirect
7. C2×#16839645C2semidirect
8. C2×#16839643C2semidirect
11. C2×#16839629C2semidirect
27. C61⋊#401C22semidirect
28. #16839704C22semidirect
29. #16839701C22semidirect
30. #16839700C22semidirect
31. #16839648C22semidirect
32. #16839645C22semidirect
33. #16839643C22semidirect
36. #16839629C22semidirect
362. C2×C61#2493semidirect
420. C61C2×#2493semidirect
699. C2#21450210direct (N × H)

Maximal subgroups

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

subgroupindex
#214502102
C2×C61⋊#4012
C2×#168397042
C2×#168397012
C2×#168397002
C2×#168396482
C2×#168396452
C2×#168396432
C2×#168396372
C2×#168396352
C2×#168396292
C2×#168396232
C2×C22⋊C4×Dic612
C22×#145196842
C2×C61×#3802
C2×#249361