Finite Group Databasebeta

← C61×#25233 #29528666

Subgroups — C61×#25233 #29528666

Order 15616.

854 conjugacy classes of subgroups.

The subgroup lattice has 674 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C61×#485C211yesmaximal, characteristic, complemented
2C2×C8×D4×C61C211yesmaximal, characteristic
3C61×#2485C211yesmaximal, characteristic
4C61×#2415C211yesmaximal, characteristic
5C61×#2086C211yesmaximal, characteristic, complemented
6C61×#2077C211yesmaximal, characteristic, complemented
7C61×#2068C211yesmaximal, characteristic, complemented
8C61×#2035C211yesmaximal, characteristic, complemented
9C61×#1941C211yesmaximal, characteristic, complemented
10C61×#1933C211yesmaximal, characteristic, complemented
11C61×#1892C211yesmaximal, characteristic, complemented
12C61×#1892C211yesmaximal, characteristic, complemented
13C61×#1854C211yesmaximal, characteristic, complemented
14C61×#1808C211yesmaximal, characteristic, complemented
15C61×#1735C211yesmaximal, characteristic, complemented
16C23×C8×C61C2211yescharacteristic
17C23×C8×C61C2211yescharacteristic
18C2×C22⋊Q8×C61C2211yescharacteristic
19C2×C22⋊Q8×C61C2211yescharacteristic
20C2×C4×D4×C61C2211yescharacteristic
21C2×#117×C61C2211yescharacteristic
22C2×#117×C61C2211yescharacteristic
23C61×#485—24no—
24C8×D4×C61—24no—
25C2×#107×C61C2211yescharacteristic
26C2×#107×C61C2211yescharacteristic
27C2×#106×C61C2211yescharacteristic
28C2×#106×C61C2211yescharacteristic
29C2×C4⋊C8×C61C2211yescharacteristic
30C2×#103×C61C2211yescharacteristic
31C2×#103×C61C2211yescharacteristic
32C2×#103×C61C2211yescharacteristic
33C2×#103×C61C2211yescharacteristic
34C2×C22⋊C8×C61C2211yescharacteristic
35C2×C22⋊C8×C61C2211yescharacteristic
36C2×C4×C8×C61C2211yescharacteristic
37C61×#397—21no—
38C61×#397—21no—
39C61×#394—21no—
40C61×#394—21no—
41C61×#391C2211yescharacteristic
42C61×#389—21no—
43C61×#389C2211yescharacteristic
44C61×#389C2211yescharacteristic
45C61×#389C2211yescharacteristic
46C61×#388—21no—
47C61×#388—21no—
48C61×#387—21no—
49C61×#380C2211yescharacteristic
50C61×#380C2211yescharacteristic
51C61×#380C2211yescharacteristic
52C61×#380C2211yescharacteristic
53C61×#340C2211yescharacteristic
54C61×#340C2211yescharacteristic
55C61×#340C2211yescharacteristic
56C61×#340C2211yescharacteristic
57C61×#340C2211yescharacteristic
58C61×#340C2211yescharacteristic
59C61×#340C2211yescharacteristic
60C61×#340C2211yescharacteristic
61C22×Q8×C61C2311yescharacteristic
62C22×D4×C61D411yescharacteristic
63C23×C4×C61C2311yescharacteristic
64C23×C4×C61C2311yescharacteristic
65C22×C8×C61—22no—
66C22×C8×C61—22no—
67C22×C8×C61—22no—
68C22×C8×C61—22no—
69C22×C8×C61—41no—
70C22×C8×C61—41no—
71C22×C8×C61C2311yescharacteristic
72C22×C8×C61C2311yescharacteristic
73C22×C8×C61C2311yescharacteristic
74C22×C8×C61C2311yescharacteristic
75C22⋊Q8×C61—22no—
76C22⋊Q8×C61—22no—
77C22⋊Q8×C61—22no—
78C22⋊Q8×C61—41no—
79C4×D4×C61—22no—
80C4×D4×C61—22no—
81#117×C61—22no—
82#117×C61—22no—
83#117×C61—22no—
84#117×C61—41no—
85C2×C4⋊C4×C61—21no—
86C2×C4⋊C4×C61—21no—
87C2×C4⋊C4×C61—21no—
88C2×C4⋊C4×C61—21no—
89C2×C4⋊C4×C61—21no—
90C2×C4⋊C4×C61D411yescharacteristic
91C2×C4⋊C4×C61C2311yescharacteristic
92C2×C4⋊C4×C61C2311yescharacteristic
93C2×C4⋊C4×C61C2311yescharacteristic
94C2×C4⋊C4×C61C2311yescharacteristic
95C2×C4⋊C4×C61C2311yescharacteristic
96C2×C4⋊C4×C61C2311yescharacteristic
97C2×C4⋊C4×C61C2311yescharacteristic
98C2×C22⋊C4×C61—21no—
99C2×C22⋊C4×C61—21no—
100C2×C22⋊C4×C61—21no—
101C2×C22⋊C4×C61—21no—
102C2×C22⋊C4×C61—21no—
103C2×C22⋊C4×C61—21no—
104C2×C22⋊C4×C61—21no—
105C2×C22⋊C4×C61—21no—
106C2×C22⋊C4×C61D411yescharacteristic
107C2×C22⋊C4×C61D411yescharacteristic
108C2×C42×C61—21no—
109C2×C42×C61—21no—
110C2×C42×C61C2311yescharacteristic
111#107×C61—22no—
112#107×C61—41no—
113#106×C61—22no—
114#106×C61—22no—
115C4⋊C8×C61—22no—
116#103×C61—22no—
117#103×C61—22no—
118#103×C61—22no—
119#103×C61—41no—
120C22⋊C8×C61—22no—
121C22⋊C8×C61D414yes—
122C4×C8×C61—22no—
123#95×C61—21no—
124#95×C61—21no—
125#95×C61—21no—
126#95×C61—21no—
127#95×C61—21no—
128#95×C61—21no—
129#95×C61—21no—
130#95×C61—21no—
131#95×C61—21no—
132C24×C61C2×D411yescharacteristic
133C24×C61C2×D411yescharacteristic
134C2×Q8×C61—21no—
135C2×Q8×C61—21no—
136C2×Q8×C61—21no—
137C2×Q8×C61—21no—
138C2×Q8×C61—21no—
139C2×Q8×C61—21no—
140C2×D4×C61—22no—
141C2×D4×C61—22no—
142C2×D4×C61—22no—
143C22×C4×C61—21no—
144C22×C4×C61—21no—
145C22×C4×C61—21no—
146C22×C4×C61—21no—
147C22×C4×C61—21no—
148C22×C4×C61—21no—
149C22×C4×C61—21no—
150C22×C4×C61—21no—
151C22×C4×C61—21no—
152C22×C4×C61—21no—
153C22×C4×C61—21no—
154C22×C4×C61—21no—
155C22×C4×C61—21no—
156C22×C4×C61—21no—
157C22×C4×C61—21no—
158C22×C4×C61—21no—
159C22×C4×C61—21no—
160C22×C4×C61—21no—
161C22×C4×C61C2×D411yescharacteristic
162C22×C4×C61C2×D411yescharacteristic
163C22×C4×C61C2×D411yescharacteristic
164C22×C4×C61C2×D412yes—
165C22×C4×C61C2×D411yescharacteristic
166C22×C4×C61#4112yes—
167C22×C4×C61C2411yescharacteristic
168C2×C8×C61—21no—
169C2×C8×C61—21no—
170C2×C8×C61—21no—
171C2×C8×C61—21no—
172C2×C8×C61—21no—
173C2×C8×C61—21no—
174C2×C8×C61—21no—
175C2×C8×C61—21no—
176C2×C8×C61—21no—
177C2×C8×C61—44no—
178C2×C8×C61—44no—
179C2×C8×C61C2×D412yes—
180C2×C8×C61C2×D412yes—
181C2×C8×C61#4112yes—
182C4⋊C4×C61—22no—
183C4⋊C4×C61—21no—
184C4⋊C4×C61—21no—
185C4⋊C4×C61—21no—
186C4⋊C4×C61—21no—
187C4⋊C4×C61—21no—
188C4⋊C4×C61—21no—
189C4⋊C4×C61—21no—
190C4⋊C4×C61—21no—
191C4⋊C4×C61—21no—
192C4⋊C4×C61—21no—
193C4⋊C4×C61—21no—
194C4⋊C4×C61—21no—
195C4⋊C4×C61—21no—
196C4⋊C4×C61—42no—
197C4⋊C4×C61—42no—
198C4⋊C4×C61—42no—
199C4⋊C4×C61—42no—
200C4⋊C4×C61—81no—
201C4⋊C4×C61#4112yes—
202C22⋊C4×C61—22no—
203C22⋊C4×C61—22no—
204C22⋊C4×C61—42no—
205C22⋊C4×C61—42no—
206C22⋊C4×C61—42no—
207C22⋊C4×C61—42no—
208C22⋊C4×C61—42no—
209C22⋊C4×C61—42no—
210C22⋊C4×C61—81no—
211C22⋊C4×C61—81no—
212C42×C61—21no—
213C42×C61—21no—
214C42×C61—42no—
215C42×C61—42no—
216C23×C61—21no—
217C23×C61—21no—
218C23×C61—21no—
219C23×C61—21no—
220C23×C61—21no—
221C23×C61—21no—
222C23×C61—21no—
223C23×C61—21no—
224C23×C61—21no—
225C23×C61—21no—
226C23×C61—21no—
227C23×C61—21no—
228C23×C61#12112yes—
229C23×C61#13512yes—
230C23×C61C22×D411yescharacteristic
231Q8×C61—41no—
232Q8×C61—41no—
233Q8×C61—41no—
234Q8×C61—41no—
235D4×C61—28no—
236C2×C4×C61—21no—
237C2×C4×C61—21no—
238C2×C4×C61—21no—
239C2×C4×C61—21no—
240C2×C4×C61—22no—
241C2×C4×C61—22no—
242C2×C4×C61—22no—
243C2×C4×C61—22no—
244C2×C4×C61—21no—
245C2×C4×C61—21no—
246C2×C4×C61—22no—
247C2×C4×C61—21no—
248C2×C4×C61—21no—
249C2×C4×C61—21no—
250C2×C4×C61—21no—
251C2×C4×C61—41no—
252C2×C4×C61—41no—
253C2×C4×C61—41no—
254C2×C4×C61—41no—
255C2×C4×C61—41no—
256C2×C4×C61—41no—
257C2×C4×C61—41no—
258C2×C4×C61—41no—
259C2×C4×C61—41no—
260C2×C4×C61—41no—
261C2×C4×C61—41no—
262C2×C4×C61—41no—
263C2×C4×C61—41no—
264C2×C4×C61—41no—
265C2×C4×C61—41no—
266C2×C4×C61—41no—
267C2×C4×C61—41no—
268C2×C4×C61—41no—
269C2×C4×C61—41no—
270C2×C4×C61—41no—
271C2×C4×C61—41no—
272C2×C4×C61—41no—
273C2×C4×C61—41no—
274C2×C4×C61—41no—
275C2×C4×C61—41no—
276C2×C4×C61—41no—
277C2×C4×C61—41no—
278C2×C4×C61#12112yes—
279C2×C4×C61#13512yes—
280C2×C4×C61C22×D411yescharacteristic
281C2×C4×C61C2×#4111yescharacteristic
282C2×C4×C61C2×#4111yescharacteristic
283C2×C4×C61C2×#4111yescharacteristic
284C2×C4×C61H(5,𝔽2)11yescharacteristic
285C2×C4×C612−1+411yescharacteristic
286C8×C61—22no—
287C8×C61—22no—
288C8×C61—22no—
289C8×C61—41no—
290#25233C6111yesmaximal, characteristic, direct product factor, Sylow
291C22×C61—22no—
292C22×C61—22no—
293C22×C61—22no—
294C22×C61—22no—
295C22×C61—22no—
296C22×C61—22no—
297C22×C61—41no—
298C22×C61—41no—
299C22×C61—41no—
300C22×C61—41no—
301C22×C61—41no—
302C22×C61—41no—
303C22×C61—41no—
304C22×C61—41no—
305C22×C61C2×#12111yescharacteristic
306C22×C61#54611yescharacteristic
307C22×C61#54711yescharacteristic
308C22×C61C2×#13511yescharacteristic
309C22×C61C2×#13511yescharacteristic
310C22×C61#57711yescharacteristic
311C22×C61#57811yescharacteristic
312C4×C61—22no—
313C4×C61—22no—
314C4×C61—41no—
315C4×C61—42no—
316C4×C61—41no—
317C4×C61—81no—
318C4×C61—81no—
319C4×C61—81no—
320C4×C61—81no—
321C4×C61—81no—
322C4×C61—81no—
323C4×C61—81no—
324C4×C61#52911yescharacteristic
325C4×C61#53911yescharacteristic
326C4×C61#54611yescharacteristic
327C4×C61#54711yescharacteristic
328C2×#485C2×C6111yescharacteristic, complemented
329C2×C8×D4C2×C6111yescharacteristic
330#2485C2×C6111yescharacteristic
331#2415C2×C6111yescharacteristic
332#2086C2×C6111yescharacteristic, complemented
333#2077C2×C6111yescharacteristic, complemented
334#2068C2×C6111yescharacteristic, complemented
335#2035C2×C6111yescharacteristic, complemented
336#1941C2×C6111yescharacteristic, complemented
337#1933C2×C6111yescharacteristic, complemented
338#1892C2×C6111yescharacteristic, complemented
339#1892C2×C6111yescharacteristic, complemented
340#1854C2×C6111yescharacteristic, complemented
341#1808C2×C6111yescharacteristic, complemented
342#1735C2×C6111yescharacteristic, complemented
343C2×C61—42no—
344C2×C61—42no—
345C2×C61#242511yescharacteristic
346C2×C61#305011yescharacteristic
347C2×C61#306311yescharacteristic
348C2×C61#330111yescharacteristic
349C2×C61#330211yescharacteristic
350C2×C61#333611yescharacteristic
351C2×C61#334011yescharacteristic
352C23×C8C22×C6111yescharacteristic
353C23×C8C22×C6111yescharacteristic
354C2×C22⋊Q8C22×C6111yescharacteristic
355C2×C22⋊Q8C22×C6111yescharacteristic
356C2×C4×D4C22×C6111yescharacteristic
357C2×#117C22×C6111yescharacteristic
358C2×#117C22×C6111yescharacteristic
359#485—24no—
360C8×D4—24no—
361C2×#107C22×C6111yescharacteristic
362C2×#107C22×C6111yescharacteristic
363C2×#106C22×C6111yescharacteristic
364C2×#106C22×C6111yescharacteristic
365C2×C4⋊C8C22×C6111yescharacteristic
366C2×#103C22×C6111yescharacteristic
367C2×#103C22×C6111yescharacteristic
368C2×#103C22×C6111yescharacteristic
369C2×#103C22×C6111yescharacteristic
370C2×C22⋊C8C22×C6111yescharacteristic
371C2×C22⋊C8C22×C6111yescharacteristic
372C2×C4×C8C22×C6111yescharacteristic
373#397—21no—
374#397—21no—
375#394—21no—
376#394—21no—
377#391C22×C6111yescharacteristic
378#389—21no—
379#389C22×C6111yescharacteristic
380#389C22×C6111yescharacteristic
381#389C22×C6111yescharacteristic
382#388—21no—
383#388—21no—
384#387—21no—
385#380C22×C6111yescharacteristic
386#380C22×C6111yescharacteristic
387#380C22×C6111yescharacteristic
388#380C22×C6111yescharacteristic
389#340C22×C6111yescharacteristic
390#340C22×C6111yescharacteristic
391#340C22×C6111yescharacteristic
392#340C22×C6111yescharacteristic
393#340C22×C6111yescharacteristic
394#340C22×C6111yescharacteristic
395#340C22×C6111yescharacteristic
396#340C22×C6111yescharacteristic
397C61#2523311yescharacteristic, direct product factor, Sylow
398C22×Q8C23×C6111yescharacteristic
399C22×D4D4×C6111yescharacteristic
400C23×C4C23×C6111yescharacteristic
401C23×C4C23×C6111yescharacteristic
402C22×C8—22no—
403C22×C8—22no—
404C22×C8—22no—
405C22×C8—22no—
406C22×C8—41no—
407C22×C8—41no—
408C22×C8C23×C6111yescharacteristic
409C22×C8C23×C6111yescharacteristic
410C22×C8C23×C6111yescharacteristic
411C22×C8C23×C6111yescharacteristic
412C22⋊Q8—22no—
413C22⋊Q8—22no—
414C22⋊Q8—22no—
415C22⋊Q8—41no—
416C4×D4—22no—
417C4×D4—22no—
418#117—22no—
419#117—22no—
420#117—22no—
421#117—41no—
422C2×C4⋊C4—21no—
423C2×C4⋊C4—21no—
424C2×C4⋊C4—21no—
425C2×C4⋊C4—21no—
426C2×C4⋊C4—21no—
427C2×C4⋊C4D4×C6111yescharacteristic
428C2×C4⋊C4C23×C6111yescharacteristic
429C2×C4⋊C4C23×C6111yescharacteristic
430C2×C4⋊C4C23×C6111yescharacteristic
431C2×C4⋊C4C23×C6111yescharacteristic
432C2×C4⋊C4C23×C6111yescharacteristic
433C2×C4⋊C4C23×C6111yescharacteristic
434C2×C4⋊C4C23×C6111yescharacteristic
435C2×C22⋊C4—21no—
436C2×C22⋊C4—21no—
437C2×C22⋊C4—21no—
438C2×C22⋊C4—21no—
439C2×C22⋊C4—21no—
440C2×C22⋊C4—21no—
441C2×C22⋊C4—21no—
442C2×C22⋊C4—21no—
443C2×C22⋊C4D4×C6111yescharacteristic
444C2×C22⋊C4D4×C6111yescharacteristic
445C2×C42—21no—
446C2×C42—21no—
447C2×C42C23×C6111yescharacteristic
448#107—22no—
449#107—41no—
450#106—22no—
451#106—22no—
452C4⋊C8—22no—
453#103—22no—
454#103—22no—
455#103—22no—
456#103—41no—
457C22⋊C8—22no—
458C22⋊C8D4×C6114yes—
459C4×C8—22no—
460#95—21no—
461#95—21no—
462#95—21no—
463#95—21no—
464#95—21no—
465#95—21no—
466#95—21no—
467#95—21no—
468#95—21no—
469C24C2×D4×C6111yescharacteristic
470C24C2×D4×C6111yescharacteristic
471C2×Q8—21no—
472C2×Q8—21no—
473C2×Q8—21no—
474C2×Q8—21no—
475C2×Q8—21no—
476C2×Q8—21no—
477C2×D4—22no—
478C2×D4—22no—
479C2×D4—22no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—21no—
496C22×C4—21no—
497C22×C4—21no—
498C22×C4C2×D4×C6111yescharacteristic
499C22×C4C2×D4×C6111yescharacteristic
500C22×C4C2×D4×C6111yescharacteristic
501C22×C4C2×D4×C6112yes—
502C22×C4C2×D4×C6111yescharacteristic
503C22×C4#41×C6112yes—
504C22×C4C24×C6111yescharacteristic
505C2×C8—21no—
506C2×C8—21no—
507C2×C8—21no—
508C2×C8—21no—
509C2×C8—21no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—21no—
513C2×C8—21no—
514C2×C8—44no—
515C2×C8—44no—
516C2×C8C2×D4×C6112yes—
517C2×C8C2×D4×C6112yes—
518C2×C8#41×C6112yes—
519C4⋊C4—22no—
520C4⋊C4—21no—
521C4⋊C4—21no—
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—21no—
528C4⋊C4—21no—
529C4⋊C4—21no—
530C4⋊C4—21no—
531C4⋊C4—21no—
532C4⋊C4—21no—
533C4⋊C4—42no—
534C4⋊C4—42no—
535C4⋊C4—42no—
536C4⋊C4—42no—
537C4⋊C4—81no—
538C4⋊C4#41×C6112yes—
539C22⋊C4—22no—
540C22⋊C4—22no—
541C22⋊C4—42no—
542C22⋊C4—42no—
543C22⋊C4—42no—
544C22⋊C4—42no—
545C22⋊C4—42no—
546C22⋊C4—42no—
547C22⋊C4—81no—
548C22⋊C4—81no—
549C42—21no—
550C42—21no—
551C42—42no—
552C42—42no—
553C23—21no—
554C23—21no—
555C23—21no—
556C23—21no—
557C23—21no—
558C23—21no—
559C23—21no—
560C23—21no—
561C23—21no—
562C23—21no—
563C23—21no—
564C23—21no—
565C23#121×C6112yes—
566C23#135×C6112yes—
567C23C22×D4×C6111yescharacteristic
568Q8—41no—
569Q8—41no—
570Q8—41no—
571Q8—41no—
572D4—28no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—22no—
578C2×C4—22no—
579C2×C4—22no—
580C2×C4—22no—
581C2×C4—22no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—41no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4#121×C6112yes—
616C2×C4#135×C6112yes—
617C2×C4C22×D4×C6111yescharacteristic
618C2×C4C2×#41×C6111yescharacteristic
619C2×C4C2×#41×C6111yescharacteristic
620C2×C4C2×#41×C6111yescharacteristic
621C2×C4H(5,𝔽2)×C6111yescharacteristic
622C2×C42−1+4×C6111yescharacteristic
623C8—22no—
624C8—22no—
625C8—22no—
626C8—41no—
627C22—22no—
628C22—22no—
629C22—22no—
630C22—22no—
631C22—22no—
632C22—22no—
633C22—41no—
634C22—41no—
635C22—41no—
636C22—41no—
637C22—41no—
638C22—41no—
639C22—41no—
640C22—41no—
641C22C2×#121×C6111yescharacteristic
642C22C61×#54611yescharacteristic
643C22C61×#54711yescharacteristic
644C22C2×#135×C6111yescharacteristic
645C22C2×#135×C6111yescharacteristic
646C22C61×#57711yescharacteristic
647C22C61×#57811yescharacteristic
648C4—22no—
649C4—22no—
650C4—42no—
651C4—41no—
652C4—41no—
653C4—81no—
654C4—81no—
655C4—81no—
656C4—81no—
657C4—81no—
658C4—81no—
659C4—81no—
660C4C61×#52911yescharacteristic
661C4C61×#53911yescharacteristic
662C4C61×#54611yescharacteristic
663C4C61×#54711yescharacteristic
664C2—42no—
665C2—42no—
666C2C61×#242511yescharacteristic
667C2C61×#305011yescharacteristic
668C2C61×#306311yescharacteristic
669C2C61×#330111yescharacteristic
670C2C61×#330211yescharacteristic
671C2C61×#333611yescharacteristic
672C2C61×#334011yescharacteristic
subgroupG/H
center, socleC23×C61C22×D4
commutator, Frattini, cosocleC22×C4C24×C61
prime radicalC22×D4×C61D4
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C61 ◁ C2×C4×D4×C61 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C61×#485C2semidirect
5. C61×#2086C2semidirect
6. C61×#2077C2semidirect
7. C61×#2068C2semidirect
8. C61×#2035C2semidirect
9. C61×#1941C2semidirect
10. C61×#1933C2semidirect
11. C61×#1892C2semidirect
12. C61×#1892C2semidirect
13. C61×#1854C2semidirect
14. C61×#1808C2semidirect
15. C61×#1735C2semidirect
290. #25233C61direct (N × H)
328. C2×#485C2×C61semidirect
332. #2086C2×C61semidirect
333. #2077C2×C61semidirect
334. #2068C2×C61semidirect
335. #2035C2×C61semidirect
336. #1941C2×C61semidirect
337. #1933C2×C61semidirect
338. #1892C2×C61semidirect
339. #1892C2×C61semidirect
340. #1854C2×C61semidirect
341. #1808C2×C61semidirect
342. #1735C2×C61semidirect
397. C61#25233direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C61×#4852
C2×C8×D4×C612
C61×#24852
C61×#24152
C61×#20862
C61×#20772
C61×#20682
C61×#20352
C61×#19412
C61×#19332
C61×#18922
C61×#18542
C61×#18082
C61×#17352
#2523361