Finite Group Databasebeta

← C61×#22434 #29525867

Subgroups — C61×#22434 #29525867

Order 15616.

1494 conjugacy classes of subgroups.

The subgroup lattice has 1244 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1D4×#41×C61C211yesmaximal, characteristic
2D4×M16×C61C211yesmaximal, characteristic, complemented
3C2×C61×#421C211yesmaximal, characteristic, complemented
4C22×#104×C61C211yesmaximal, characteristic, complemented
5C61×#2290C211yesmaximal, characteristic, complemented
6C61×#1980C211yesmaximal, characteristic, complemented
7C61×#1963C211yesmaximal, characteristic, complemented
8C61×#1897C211yesmaximal, characteristic, complemented
9C61×#1896C211yesmaximal, characteristic, complemented
10C61×#1871C211yesmaximal, characteristic, complemented
11C61×#1871C211yesmaximal, characteristic, complemented
12C61×#1806C211yesmaximal, characteristic, complemented
13C61×#1789C211yesmaximal, characteristic, complemented
14C61×#1789C211yesmaximal, characteristic, complemented
15C61×#1759C211yesmaximal, characteristic, complemented
16C22×#41×C61C2211yescharacteristic
17C22×#41×C61C2211yescharacteristic
18C22×M16×C61C2211yescharacteristic, complemented
19C22×M16×C61C2211yescharacteristic, complemented
20C61×#550C411yescharacteristic, complemented
21D4×Q8×C61C411yescharacteristic, complemented
22C61×#548C411yescharacteristic, complemented
23C61×#548C411yescharacteristic, complemented
24C61×#547—21no—
25C61×#547C411yescharacteristic, complemented
26C61×#546—21no—
27C61×#546—21no—
28C61×#546C411yescharacteristic, complemented
29C61×#546C411yescharacteristic, complemented
30D42×C61—21no—
31D42×C61C411yescharacteristic, complemented
32C61×#532—21no—
33C61×#532C2211yescharacteristic
34C61×#525—21no—
35C61×#525—21no—
36C61×#525C2211yescharacteristic
37C61×#525C2211yescharacteristic
38C4×#41×C61C2211yescharacteristic
39C2×C4×D4×C61—21no—
40C2×C4×D4×C61C2211yescharacteristic
41C2×#117×C61C2211yescharacteristic, complemented
42C22×C42×C61C2211yescharacteristic, complemented
43C61×#436—21no—
44C61×#435—21no—
45C61×#435—21no—
46C8×D4×C61—21no—
47C61×#423C2211yescharacteristic, complemented
48C61×#421—24no—
49C2×#104×C61—24no—
50C2×#104×C61C2211yescharacteristic
51C2×#104×C61C2211yescharacteristic
52C2×#104×C61C2211yescharacteristic
53C2×#104×C61C2211yescharacteristic
54C2×#104×C61C2211yescharacteristic, complemented
55C2×#104×C61C2211yescharacteristic, complemented
56C2×#104×C61C2211yescharacteristic, complemented
57C2×#104×C61C2211yescharacteristic, complemented
58C2×#104×C61C2211yescharacteristic, complemented
59C2×#104×C61C2211yescharacteristic, complemented
60C2×#104×C61C2211yescharacteristic, complemented
61C2×#104×C61C2211yescharacteristic, complemented
62C61×#407C2211yescharacteristic, complemented
63C61×#407C2211yescharacteristic, complemented
64C4×M16×C61C2211yescharacteristic, complemented
65C61×#388—21no—
66C61×#387—21no—
67C61×#386—21no—
68C61×#385—21no—
69C4×C4⋊C4×C61C2211yescharacteristic, complemented
70C4×C22⋊C4×C61C2211yescharacteristic, complemented
71C4×C22⋊C4×C61C2211yescharacteristic, complemented
72C61×#376C2211yescharacteristic, complemented
73C61×#339C2211yescharacteristic, complemented
74C61×#339C2211yescharacteristic, complemented
75C61×#339C2211yescharacteristic, complemented
76C61×#339C2211yescharacteristic, complemented
77C2×#41×C61—21no—
78C2×#41×C61—21no—
79C2×#41×C61—21no—
80C2×#41×C61—21no—
81C2×#41×C61—22no—
82C2×#41×C61—22no—
83C2×#41×C61—22no—
84C2×#41×C61—22no—
85C2×#41×C61—41no—
86C2×#41×C61—41no—
87C2×#41×C61—41no—
88C2×#41×C61—41no—
89C2×#41×C61C2×C411yescharacteristic
90C2×#41×C61C2×C411yescharacteristic
91C2×#41×C61C2×C411yescharacteristic, complemented
92C2×#41×C61C2×C411yescharacteristic, complemented
93C2×#41×C61C2311yescharacteristic
94C2×#41×C61C2311yescharacteristic
95C2×#41×C61C2311yescharacteristic
96C22×Q8×C61C2×C411yescharacteristic
97C22×Q8×C61C2×C411yescharacteristic, complemented
98C22×D4×C61—21no—
99C22×D4×C61—21no—
100C22×D4×C61—21no—
101C22×D4×C61C2×C411yescharacteristic
102C22×D4×C61C2×C411yescharacteristic, complemented
103C22×D4×C61D411yescharacteristic
104C23×C4×C61—21no—
105C23×C4×C61—21no—
106C23×C4×C61—21no—
107C23×C4×C61C2311yescharacteristic
108C23×C4×C61C2311yescharacteristic
109C2×M16×C61—21no—
110C2×M16×C61—21no—
111C2×M16×C61—22no—
112C2×M16×C61—22no—
113C2×M16×C61—41no—
114C2×M16×C61—41no—
115C2×M16×C61C2311yescharacteristic
116C2×M16×C61C2311yescharacteristic
117C2×M16×C61C2311yescharacteristic
118C2×M16×C61C2311yescharacteristic
119C22×C8×C61—21no—
120C22×C8×C61—21no—
121C4⋊Q8×C61—21no—
122C4⋊Q8×C61C2×C411yescharacteristic, complemented
123#127×C61—21no—
124#127×C61C2×C411yescharacteristic, complemented
125#124×C61—21no—
126#124×C61—21no—
127#124×C61C2×C411yescharacteristic, complemented
128#124×C61C2×C411yescharacteristic, complemented
129#123×C61—21no—
130#123×C61—21no—
131#123×C61—21no—
132#123×C61—21no—
133#123×C61—21no—
134#123×C61—21no—
135C22⋊Q8×C61—21no—
136C22⋊Q8×C61—21no—
137C22⋊Q8×C61—21no—
138C22⋊Q8×C61—21no—
139C22⋊Q8×C61C2×C411yescharacteristic
140C22⋊Q8×C61C2×C411yescharacteristic
141C22⋊Q8×C61C2×C411yescharacteristic, complemented
142C22⋊Q8×C61C2×C411yescharacteristic, complemented
143#121×C61—21no—
144#121×C61—21no—
145#121×C61—21no—
146#121×C61—21no—
147#121×C61—21no—
148#121×C61—21no—
149#121×C61—21no—
150#121×C61—21no—
151#121×C61—21no—
152#121×C61—21no—
153#121×C61C2×C411yescharacteristic
154#121×C61C2×C411yescharacteristic
155#121×C61C2×C411yescharacteristic, complemented
156#121×C61C2×C411yescharacteristic, complemented
157#120×C61—21no—
158#120×C61—21no—
159#120×C61—21no—
160#120×C61—21no—
161#120×C61—21no—
162#120×C61—21no—
163C4×Q8×C61C2×C411yescharacteristic, complemented
164C4×Q8×C61C2×C411yescharacteristic, complemented
165C4×D4×C61—21no—
166C4×D4×C61—21no—
167C4×D4×C61—21no—
168C4×D4×C61—21no—
169C4×D4×C61—21no—
170C4×D4×C61—21no—
171C4×D4×C61—21no—
172C4×D4×C61—21no—
173C4×D4×C61—21no—
174C4×D4×C61—21no—
175C4×D4×C61—21no—
176C4×D4×C61—21no—
177C4×D4×C61C2×C411yescharacteristic
178C4×D4×C61C2×C411yescharacteristic
179C4×D4×C61C2×C411yescharacteristic
180C4×D4×C61C2×C411yescharacteristic
181C4×D4×C61C2×C411yescharacteristic, complemented
182C4×D4×C61C2×C411yescharacteristic, complemented
183C4×D4×C61D411yescharacteristic
184C4×D4×C61D411yescharacteristic
185C4×D4×C61D411yescharacteristic
186C4×D4×C61D411yescharacteristic
187#117×C61—21no—
188#117×C61—22no—
189#117×C61—41no—
190#117×C61C2311yescharacteristic
191C2×C4⋊C4×C61—21no—
192C2×C4⋊C4×C61—21no—
193C2×C4⋊C4×C61—21no—
194C2×C4⋊C4×C61D411yescharacteristic
195C2×C22⋊C4×C61—21no—
196C2×C22⋊C4×C61—21no—
197C2×C22⋊C4×C61—21no—
198C2×C22⋊C4×C61—21no—
199C2×C22⋊C4×C61—21no—
200C2×C22⋊C4×C61D411yescharacteristic
201C2×C22⋊C4×C61D411yescharacteristic
202C2×C42×C61—21no—
203C2×C42×C61—22no—
204C2×C42×C61—21no—
205C2×C42×C61—41no—
206C2×C42×C61C2311yescharacteristic
207C2×C42×C61C2311yescharacteristic
208C2×C42×C61C2311yescharacteristic
209C2×C42×C61C2311yescharacteristic
210C2×C42×C61C2311yescharacteristic
211C4⋊C8×C61—21no—
212C4⋊C8×C61—21no—
213#104×C61—22no—
214#104×C61—22no—
215#104×C61—22no—
216#104×C61—22no—
217#104×C61—22no—
218#104×C61—22no—
219#104×C61—22no—
220#104×C61—41no—
221#104×C61—41no—
222#104×C61—41no—
223#104×C61—41no—
224#104×C61D414yescomplemented
225C22⋊C8×C61—21no—
226C22⋊C8×C61—21no—
227C22⋊C8×C61—21no—
228C22⋊C8×C61—21no—
229#97×C61—21no—
230C4×C8×C61—21no—
231#95×C61—21no—
232#95×C61—21no—
233#95×C61—21no—
234#95×C61—21no—
235#95×C61—21no—
236C24×C61—21no—
237C24×C61—21no—
238C24×C61C2×D411yescharacteristic
239C24×C61C2×D411yescharacteristic
240#41×C61—21no—
241#41×C61—21no—
242#41×C61—22no—
243#41×C61—22no—
244#41×C61—22no—
245#41×C61—22no—
246#41×C61—21no—
247#41×C61—21no—
248#41×C61—21no—
249#41×C61—21no—
250#41×C61—21no—
251#41×C61—21no—
252#41×C61—21no—
253#41×C61—21no—
254#41×C61—42no—
255#41×C61—42no—
256#41×C61—42no—
257#41×C61—42no—
258#41×C61—41no—
259#41×C61—41no—
260#41×C61—41no—
261#41×C61—41no—
262#41×C61—42no—
263#41×C61—42no—
264#41×C61—42no—
265#41×C61—42no—
266#41×C61C2×D412yes—
267#41×C61#4112yes—
268C2×Q8×C61—21no—
269C2×Q8×C61—21no—
270C2×Q8×C61—22no—
271C2×Q8×C61—22no—
272C2×Q8×C61—41no—
273C2×Q8×C61—41no—
274C2×Q8×C61C22×C411yescharacteristic
275C2×Q8×C61C22×C411yescharacteristic
276C2×Q8×C61C22×C411yescharacteristic
277C2×D4×C61—21no—
278C2×D4×C61—22no—
279C2×D4×C61—22no—
280C2×D4×C61—21no—
281C2×D4×C61—21no—
282C2×D4×C61—21no—
283C2×D4×C61—21no—
284C2×D4×C61—21no—
285C2×D4×C61—21no—
286C2×D4×C61—21no—
287C2×D4×C61—21no—
288C2×D4×C61—21no—
289C2×D4×C61—21no—
290C2×D4×C61—21no—
291C2×D4×C61—21no—
292C2×D4×C61—21no—
293C2×D4×C61—21no—
294C2×D4×C61—41no—
295C2×D4×C61—41no—
296C2×D4×C61—42no—
297C2×D4×C61—42no—
298C2×D4×C61—42no—
299C2×D4×C61—42no—
300C2×D4×C61—42no—
301C2×D4×C61—44no—
302C2×D4×C61C22⋊C411yescharacteristic
303C2×D4×C61C22⋊C411yescharacteristic
304C2×D4×C61C22⋊C411yescharacteristic
305C2×D4×C61C22⋊C411yescharacteristic
306C2×D4×C61C22×C411yescharacteristic
307C2×D4×C61C22×C411yescharacteristic
308C2×D4×C61C22×C411yescharacteristic
309C22×C4×C61—21no—
310C22×C4×C61—21no—
311C22×C4×C61—21no—
312C22×C4×C61—21no—
313C22×C4×C61—21no—
314C22×C4×C61—21no—
315C22×C4×C61—21no—
316C22×C4×C61—21no—
317C22×C4×C61—21no—
318C22×C4×C61—21no—
319C22×C4×C61—21no—
320C22×C4×C61—21no—
321C22×C4×C61—21no—
322C22×C4×C61—21no—
323C22×C4×C61—21no—
324C22×C4×C61—21no—
325C22×C4×C61—21no—
326C22×C4×C61—21no—
327C22×C4×C61—21no—
328C22×C4×C61—21no—
329C22×C4×C61—21no—
330C22×C4×C61—21no—
331C22×C4×C61—21no—
332C22×C4×C61—42no—
333C22×C4×C61—42no—
334C22×C4×C61—42no—
335C22×C4×C61—42no—
336C22×C4×C61—42no—
337C22×C4×C61—42no—
338C22×C4×C61—42no—
339C22×C4×C61C22×C411yescharacteristic
340C22×C4×C61C22×C411yescharacteristic
341C22×C4×C61C22×C411yescharacteristic
342C22×C4×C61C22×C411yescharacteristic
343C22×C4×C61C2×D411yescharacteristic
344C22×C4×C61C2×D411yescharacteristic
345C22×C4×C61C2×D411yescharacteristic
346C22×C4×C61C2×D411yescharacteristic
347C22×C4×C61C2×D411yescharacteristic
348C22×C4×C61C2×D411yescharacteristic
349C22×C4×C61C2×D411yescharacteristic
350C22×C4×C61C2×D411yescharacteristic
351C22×C4×C61C2411yescharacteristic
352M16×C61—21no—
353M16×C61—21no—
354M16×C61—21no—
355M16×C61—21no—
356M16×C61—21no—
357M16×C61—21no—
358M16×C61—21no—
359M16×C61—42no—
360M16×C61—42no—
361M16×C61C2×D412yescomplemented
362C2×C8×C61—21no—
363C2×C8×C61—21no—
364C2×C8×C61—21no—
365C2×C8×C61—21no—
366C2×C8×C61—42no—
367C2×C8×C61—42no—
368C4⋊C4×C61—21no—
369C4⋊C4×C61—21no—
370C4⋊C4×C61—21no—
371C4⋊C4×C61—21no—
372C4⋊C4×C61—21no—
373C4⋊C4×C61—21no—
374C4⋊C4×C61—21no—
375C4⋊C4×C61—21no—
376C4⋊C4×C61—42no—
377C4⋊C4×C61—42no—
378C4⋊C4×C61C22⋊C411yescharacteristic
379C4⋊C4×C61C22⋊C411yescharacteristic
380C4⋊C4×C61C22⋊C411yescharacteristic
381C4⋊C4×C61C22⋊C411yescharacteristic
382C4⋊C4×C61C22×C411yescharacteristic
383C4⋊C4×C61C22×C411yescharacteristic
384C22⋊C4×C61—21no—
385C22⋊C4×C61—21no—
386C22⋊C4×C61—21no—
387C22⋊C4×C61—21no—
388C22⋊C4×C61—21no—
389C22⋊C4×C61—21no—
390C22⋊C4×C61—21no—
391C22⋊C4×C61—21no—
392C22⋊C4×C61—21no—
393C22⋊C4×C61—21no—
394C22⋊C4×C61—21no—
395C22⋊C4×C61—21no—
396C22⋊C4×C61—21no—
397C22⋊C4×C61—21no—
398C22⋊C4×C61—21no—
399C22⋊C4×C61—42no—
400C22⋊C4×C61—42no—
401C22⋊C4×C61—42no—
402C22⋊C4×C61C22⋊C411yescharacteristic
403C22⋊C4×C61C22⋊C411yescharacteristic
404C22⋊C4×C61C22⋊C411yescharacteristic
405C22⋊C4×C61C22⋊C411yescharacteristic
406C22⋊C4×C61C22⋊C411yescharacteristic
407C22⋊C4×C61C22⋊C411yescharacteristic
408C22⋊C4×C61C22⋊C411yescharacteristic
409C22⋊C4×C61C22⋊C411yescharacteristic
410C42×C61—21no—
411C42×C61—21no—
412C42×C61—21no—
413C42×C61—21no—
414C42×C61—21no—
415C42×C61—21no—
416C42×C61—21no—
417C42×C61—21no—
418C42×C61—21no—
419C42×C61—21no—
420C42×C61—42no—
421C42×C61C22×C411yescharacteristic
422C42×C61C22×C411yescharacteristic
423C42×C61C2×D411yescharacteristic
424C42×C61C2×D411yescharacteristic
425C42×C61C2×D412yescomplemented
426C23×C61—21no—
427C23×C61—21no—
428C23×C61—21no—
429C23×C61—22no—
430C23×C61—21no—
431C23×C61—21no—
432C23×C61—21no—
433C23×C61—21no—
434C23×C61—41no—
435C23×C61—41no—
436C23×C61—41no—
437C23×C61—42no—
438C23×C61—42no—
439C23×C61—42no—
440C23×C61—42no—
441C23×C61—81no—
442C23×C61—81no—
443C23×C61C2×C22⋊C411yescharacteristic
444C23×C61C2×C22⋊C411yescharacteristic
445C23×C61C2×C22⋊C411yescharacteristic
446C23×C61C2×C22⋊C411yescharacteristic
447C23×C61C22×D411yescharacteristic
448Q8×C61—21no—
449Q8×C61—21no—
450Q8×C61—21no—
451Q8×C61—21no—
452Q8×C61—21no—
453Q8×C61—42no—
454Q8×C61—42no—
455Q8×C61C4×D412yes—
456D4×C61—22no—
457D4×C61—22no—
458D4×C61—22no—
459D4×C61—22no—
460D4×C61—21no—
461D4×C61—21no—
462D4×C61—21no—
463D4×C61—21no—
464D4×C61—21no—
465D4×C61—41no—
466D4×C61—41no—
467D4×C61—42no—
468D4×C61—42no—
469D4×C61—42no—
470D4×C61—42no—
471D4×C61—42no—
472D4×C61—42no—
473D4×C61—42no—
474D4×C61—42no—
475D4×C61—41no—
476D4×C61—41no—
477D4×C61—41no—
478D4×C61—41no—
479D4×C61—42no—
480D4×C61—81no—
481D4×C61—81no—
482D4×C61—81no—
483D4×C61C4×D412yes—
484C2×C4×C61—21no—
485C2×C4×C61—21no—
486C2×C4×C61—21no—
487C2×C4×C61—21no—
488C2×C4×C61—21no—
489C2×C4×C61—21no—
490C2×C4×C61—21no—
491C2×C4×C61—21no—
492C2×C4×C61—21no—
493C2×C4×C61—21no—
494C2×C4×C61—21no—
495C2×C4×C61—21no—
496C2×C4×C61—21no—
497C2×C4×C61—21no—
498C2×C4×C61—21no—
499C2×C4×C61—21no—
500C2×C4×C61—21no—
501C2×C4×C61—22no—
502C2×C4×C61—21no—
503C2×C4×C61—21no—
504C2×C4×C61—21no—
505C2×C4×C61—21no—
506C2×C4×C61—22no—
507C2×C4×C61—22no—
508C2×C4×C61—21no—
509C2×C4×C61—21no—
510C2×C4×C61—21no—
511C2×C4×C61—21no—
512C2×C4×C61—22no—
513C2×C4×C61—41no—
514C2×C4×C61—41no—
515C2×C4×C61—42no—
516C2×C4×C61—42no—
517C2×C4×C61—42no—
518C2×C4×C61—42no—
519C2×C4×C61—42no—
520C2×C4×C61—42no—
521C2×C4×C61—42no—
522C2×C4×C61—41no—
523C2×C4×C61—41no—
524C2×C4×C61—41no—
525C2×C4×C61—48no—
526C2×C4×C61—41no—
527C2×C4×C61—41no—
528C2×C4×C61—41no—
529C2×C4×C61—41no—
530C2×C4×C61—41no—
531C2×C4×C61—41no—
532C2×C4×C61—41no—
533C2×C4×C61—41no—
534C2×C4×C61—41no—
535C2×C4×C61—41no—
536C2×C4×C61—41no—
537C2×C4×C61—81no—
538C2×C4×C61C2×C22⋊C411yescharacteristic
539C2×C4×C61C2×C22⋊C411yescharacteristic
540C2×C4×C61C2×C22⋊C411yescharacteristic
541C2×C4×C61C2×C22⋊C411yescharacteristic
542C2×C4×C61C2×C22⋊C411yescharacteristic
543C2×C4×C61C2×C22⋊C411yescharacteristic
544C2×C4×C61C2×C22⋊C411yescharacteristic
545C2×C4×C61C2×C22⋊C411yescharacteristic
546C2×C4×C61C23×C411yescharacteristic
547C2×C4×C61C22×D411yescharacteristic
548C2×C4×C61C22×D411yescharacteristic
549C2×C4×C61C2×#4111yescharacteristic
550C2×C4×C61H(5,𝔽2)11yescharacteristic
551C2×C4×C61H(5,𝔽2)11yescharacteristic
552C8×C61—22no—
553C8×C61—41no—
554C8×C61—41no—
555C8×C61—41no—
556#22434C6111yesmaximal, characteristic, direct product factor, Sylow
557C22×C61—21no—
558C22×C61—21no—
559C22×C61—21no—
560C22×C61—21no—
561C22×C61—21no—
562C22×C61—21no—
563C22×C61—21no—
564C22×C61—22no—
565C22×C61—21no—
566C22×C61—21no—
567C22×C61—21no—
568C22×C61—21no—
569C22×C61—21no—
570C22×C61—21no—
571C22×C61—42no—
572C22×C61—42no—
573C22×C61—41no—
574C22×C61—41no—
575C22×C61—41no—
576C22×C61—41no—
577C22×C61—41no—
578C22×C61—41no—
579C22×C61—41no—
580C22×C61—41no—
581C22×C61—81no—
582C22×C61—81no—
583C22×C61—84no—
584C22×C61—84no—
585C22×C61#42112yescomplemented
586C22×C61C22×C22⋊C411yescharacteristic
587C22×C61D4211yescharacteristic
588C22×C61#54611yescharacteristic
589C4×C61—21no—
590C4×C61—21no—
591C4×C61—21no—
592C4×C61—21no—
593C4×C61—22no—
594C4×C61—21no—
595C4×C61—21no—
596C4×C61—21no—
597C4×C61—21no—
598C4×C61—42no—
599C4×C61—42no—
600C4×C61—41no—
601C4×C61—41no—
602C4×C61—41no—
603C4×C61—41no—
604C4×C61—81no—
605C4×C61—81no—
606C4×C61C2×C4×D411yescharacteristic
607C4×C61#51811yescharacteristic
608C4×C61D4211yescharacteristic
609C4×C61#54611yescharacteristic
610D4×#41C2×C6111yescharacteristic
611D4×M16C2×C6111yescharacteristic, complemented
612C2×#421C2×C6111yescharacteristic, complemented
613C22×#104C2×C6111yescharacteristic, complemented
614#2290C2×C6111yescharacteristic, complemented
615#1980C2×C6111yescharacteristic, complemented
616#1963C2×C6111yescharacteristic, complemented
617#1897C2×C6111yescharacteristic, complemented
618#1896C2×C6111yescharacteristic, complemented
619#1871C2×C6111yescharacteristic, complemented
620#1871C2×C6111yescharacteristic, complemented
621#1806C2×C6111yescharacteristic, complemented
622#1789C2×C6111yescharacteristic, complemented
623#1789C2×C6111yescharacteristic, complemented
624#1759C2×C6111yescharacteristic, complemented
625C2×C61—21no—
626C2×C61—21no—
627C2×C61—22no—
628C2×C61—41no—
629C2×C61—41no—
630C2×C61—41no—
631C2×C61—42no—
632C2×C61—81no—
633C2×C61—81no—
634C2×C61D4×C22⋊C411yescharacteristic
635C2×C61C2×#42111yescharacteristic
636C2×C61#290111yescharacteristic
637C22×#41C22×C6111yescharacteristic
638C22×#41C22×C6111yescharacteristic
639C22×M16C22×C6111yescharacteristic, complemented
640C22×M16C22×C6111yescharacteristic, complemented
641#550C4×C6111yescharacteristic, complemented
642D4×Q8C4×C6111yescharacteristic, complemented
643#548C4×C6111yescharacteristic, complemented
644#548C4×C6111yescharacteristic, complemented
645#547—21no—
646#547C4×C6111yescharacteristic, complemented
647#546—21no—
648#546—21no—
649#546C4×C6111yescharacteristic, complemented
650#546C4×C6111yescharacteristic, complemented
651D42—21no—
652D42C4×C6111yescharacteristic, complemented
653#532—21no—
654#532C22×C6111yescharacteristic
655#525—21no—
656#525—21no—
657#525C22×C6111yescharacteristic
658#525C22×C6111yescharacteristic
659C4×#41C22×C6111yescharacteristic
660C2×C4×D4—21no—
661C2×C4×D4C22×C6111yescharacteristic
662C2×#117C22×C6111yescharacteristic, complemented
663C22×C42C22×C6111yescharacteristic, complemented
664#436—21no—
665#435—21no—
666#435—21no—
667C8×D4—21no—
668#423C22×C6111yescharacteristic, complemented
669#421—24no—
670C2×#104—24no—
671C2×#104C22×C6111yescharacteristic
672C2×#104C22×C6111yescharacteristic
673C2×#104C22×C6111yescharacteristic
674C2×#104C22×C6111yescharacteristic
675C2×#104C22×C6111yescharacteristic, complemented
676C2×#104C22×C6111yescharacteristic, complemented
677C2×#104C22×C6111yescharacteristic, complemented
678C2×#104C22×C6111yescharacteristic, complemented
679C2×#104C22×C6111yescharacteristic, complemented
680C2×#104C22×C6111yescharacteristic, complemented
681C2×#104C22×C6111yescharacteristic, complemented
682C2×#104C22×C6111yescharacteristic, complemented
683#407C22×C6111yescharacteristic, complemented
684#407C22×C6111yescharacteristic, complemented
685C4×M16C22×C6111yescharacteristic, complemented
686#388—21no—
687#387—21no—
688#386—21no—
689#385—21no—
690C4×C4⋊C4C22×C6111yescharacteristic, complemented
691C4×C22⋊C4C22×C6111yescharacteristic, complemented
692C4×C22⋊C4C22×C6111yescharacteristic, complemented
693#376C22×C6111yescharacteristic, complemented
694#339C22×C6111yescharacteristic, complemented
695#339C22×C6111yescharacteristic, complemented
696#339C22×C6111yescharacteristic, complemented
697#339C22×C6111yescharacteristic, complemented
698C61#2243411yescharacteristic, direct product factor, Sylow
699C2×#41—21no—
700C2×#41—21no—
701C2×#41—21no—
702C2×#41—21no—
703C2×#41—22no—
704C2×#41—22no—
705C2×#41—22no—
706C2×#41—22no—
707C2×#41—41no—
708C2×#41—41no—
709C2×#41—41no—
710C2×#41—41no—
711C2×#41C2×C4×C6111yescharacteristic
712C2×#41C2×C4×C6111yescharacteristic
713C2×#41C2×C4×C6111yescharacteristic, complemented
714C2×#41C2×C4×C6111yescharacteristic, complemented
715C2×#41C23×C6111yescharacteristic
716C2×#41C23×C6111yescharacteristic
717C2×#41C23×C6111yescharacteristic
718C22×Q8C2×C4×C6111yescharacteristic
719C22×Q8C2×C4×C6111yescharacteristic, complemented
720C22×D4—21no—
721C22×D4—21no—
722C22×D4—21no—
723C22×D4C2×C4×C6111yescharacteristic
724C22×D4C2×C4×C6111yescharacteristic, complemented
725C22×D4D4×C6111yescharacteristic
726C23×C4—21no—
727C23×C4—21no—
728C23×C4—21no—
729C23×C4C23×C6111yescharacteristic
730C23×C4C23×C6111yescharacteristic
731C2×M16—21no—
732C2×M16—21no—
733C2×M16—22no—
734C2×M16—22no—
735C2×M16—41no—
736C2×M16—41no—
737C2×M16C23×C6111yescharacteristic
738C2×M16C23×C6111yescharacteristic
739C2×M16C23×C6111yescharacteristic
740C2×M16C23×C6111yescharacteristic
741C22×C8—21no—
742C22×C8—21no—
743C4⋊Q8—21no—
744C4⋊Q8C2×C4×C6111yescharacteristic, complemented
745#127—21no—
746#127C2×C4×C6111yescharacteristic, complemented
747#124—21no—
748#124—21no—
749#124C2×C4×C6111yescharacteristic, complemented
750#124C2×C4×C6111yescharacteristic, complemented
751#123—21no—
752#123—21no—
753#123—21no—
754#123—21no—
755#123—21no—
756#123—21no—
757C22⋊Q8—21no—
758C22⋊Q8—21no—
759C22⋊Q8—21no—
760C22⋊Q8—21no—
761C22⋊Q8C2×C4×C6111yescharacteristic
762C22⋊Q8C2×C4×C6111yescharacteristic
763C22⋊Q8C2×C4×C6111yescharacteristic, complemented
764C22⋊Q8C2×C4×C6111yescharacteristic, complemented
765#121—21no—
766#121—21no—
767#121—21no—
768#121—21no—
769#121—21no—
770#121—21no—
771#121—21no—
772#121—21no—
773#121—21no—
774#121—21no—
775#121C2×C4×C6111yescharacteristic
776#121C2×C4×C6111yescharacteristic
777#121C2×C4×C6111yescharacteristic, complemented
778#121C2×C4×C6111yescharacteristic, complemented
779#120—21no—
780#120—21no—
781#120—21no—
782#120—21no—
783#120—21no—
784#120—21no—
785C4×Q8C2×C4×C6111yescharacteristic, complemented
786C4×Q8C2×C4×C6111yescharacteristic, complemented
787C4×D4—21no—
788C4×D4—21no—
789C4×D4—21no—
790C4×D4—21no—
791C4×D4—21no—
792C4×D4—21no—
793C4×D4—21no—
794C4×D4—21no—
795C4×D4—21no—
796C4×D4—21no—
797C4×D4—21no—
798C4×D4—21no—
799C4×D4C2×C4×C6111yescharacteristic
800C4×D4C2×C4×C6111yescharacteristic
801C4×D4C2×C4×C6111yescharacteristic
802C4×D4C2×C4×C6111yescharacteristic
803C4×D4C2×C4×C6111yescharacteristic, complemented
804C4×D4C2×C4×C6111yescharacteristic, complemented
805C4×D4D4×C6111yescharacteristic
806C4×D4D4×C6111yescharacteristic
807C4×D4D4×C6111yescharacteristic
808C4×D4D4×C6111yescharacteristic
809#117—21no—
810#117—22no—
811#117—41no—
812#117C23×C6111yescharacteristic
813C2×C4⋊C4—21no—
814C2×C4⋊C4—21no—
815C2×C4⋊C4—21no—
816C2×C4⋊C4D4×C6111yescharacteristic
817C2×C22⋊C4—21no—
818C2×C22⋊C4—21no—
819C2×C22⋊C4—21no—
820C2×C22⋊C4—21no—
821C2×C22⋊C4—21no—
822C2×C22⋊C4D4×C6111yescharacteristic
823C2×C22⋊C4D4×C6111yescharacteristic
824C2×C42—21no—
825C2×C42—22no—
826C2×C42—21no—
827C2×C42—41no—
828C2×C42C23×C6111yescharacteristic
829C2×C42C23×C6111yescharacteristic
830C2×C42C23×C6111yescharacteristic
831C2×C42C23×C6111yescharacteristic
832C2×C42C23×C6111yescharacteristic
833C4⋊C8—21no—
834C4⋊C8—21no—
835#104—22no—
836#104—22no—
837#104—22no—
838#104—22no—
839#104—22no—
840#104—22no—
841#104—22no—
842#104—41no—
843#104—41no—
844#104—41no—
845#104—41no—
846#104D4×C6114yescomplemented
847C22⋊C8—21no—
848C22⋊C8—21no—
849C22⋊C8—21no—
850C22⋊C8—21no—
851#97—21no—
852C4×C8—21no—
853#95—21no—
854#95—21no—
855#95—21no—
856#95—21no—
857#95—21no—
858C24—21no—
859C24—21no—
860C24C2×D4×C6111yescharacteristic
861C24C2×D4×C6111yescharacteristic
862#41—21no—
863#41—21no—
864#41—22no—
865#41—22no—
866#41—22no—
867#41—22no—
868#41—21no—
869#41—21no—
870#41—21no—
871#41—21no—
872#41—21no—
873#41—21no—
874#41—21no—
875#41—21no—
876#41—42no—
877#41—42no—
878#41—42no—
879#41—42no—
880#41—41no—
881#41—41no—
882#41—41no—
883#41—41no—
884#41—42no—
885#41—42no—
886#41—42no—
887#41—42no—
888#41C2×D4×C6112yes—
889#41#41×C6112yes—
890C2×Q8—21no—
891C2×Q8—21no—
892C2×Q8—22no—
893C2×Q8—22no—
894C2×Q8—41no—
895C2×Q8—41no—
896C2×Q8C22×C4×C6111yescharacteristic
897C2×Q8C22×C4×C6111yescharacteristic
898C2×Q8C22×C4×C6111yescharacteristic
899C2×D4—21no—
900C2×D4—22no—
901C2×D4—22no—
902C2×D4—21no—
903C2×D4—21no—
904C2×D4—21no—
905C2×D4—21no—
906C2×D4—21no—
907C2×D4—21no—
908C2×D4—21no—
909C2×D4—21no—
910C2×D4—21no—
911C2×D4—21no—
912C2×D4—21no—
913C2×D4—21no—
914C2×D4—21no—
915C2×D4—21no—
916C2×D4—41no—
917C2×D4—41no—
918C2×D4—42no—
919C2×D4—42no—
920C2×D4—42no—
921C2×D4—42no—
922C2×D4—42no—
923C2×D4—44no—
924C2×D4C22⋊C4×C6111yescharacteristic
925C2×D4C22⋊C4×C6111yescharacteristic
926C2×D4C22⋊C4×C6111yescharacteristic
927C2×D4C22⋊C4×C6111yescharacteristic
928C2×D4C22×C4×C6111yescharacteristic
929C2×D4C22×C4×C6111yescharacteristic
930C2×D4C22×C4×C6111yescharacteristic
931C22×C4—21no—
932C22×C4—21no—
933C22×C4—21no—
934C22×C4—21no—
935C22×C4—21no—
936C22×C4—21no—
937C22×C4—21no—
938C22×C4—21no—
939C22×C4—21no—
940C22×C4—21no—
941C22×C4—21no—
942C22×C4—21no—
943C22×C4—21no—
944C22×C4—21no—
945C22×C4—21no—
946C22×C4—21no—
947C22×C4—21no—
948C22×C4—21no—
949C22×C4—21no—
950C22×C4—21no—
951C22×C4—21no—
952C22×C4—21no—
953C22×C4—21no—
954C22×C4—42no—
955C22×C4—42no—
956C22×C4—42no—
957C22×C4—42no—
958C22×C4—42no—
959C22×C4—42no—
960C22×C4—42no—
961C22×C4C22×C4×C6111yescharacteristic
962C22×C4C22×C4×C6111yescharacteristic
963C22×C4C22×C4×C6111yescharacteristic
964C22×C4C22×C4×C6111yescharacteristic
965C22×C4C2×D4×C6111yescharacteristic
966C22×C4C2×D4×C6111yescharacteristic
967C22×C4C2×D4×C6111yescharacteristic
968C22×C4C2×D4×C6111yescharacteristic
969C22×C4C2×D4×C6111yescharacteristic
970C22×C4C2×D4×C6111yescharacteristic
971C22×C4C2×D4×C6111yescharacteristic
972C22×C4C2×D4×C6111yescharacteristic
973C22×C4C24×C6111yescharacteristic
974M16—21no—
975M16—21no—
976M16—21no—
977M16—21no—
978M16—21no—
979M16—21no—
980M16—21no—
981M16—42no—
982M16—42no—
983M16C2×D4×C6112yescomplemented
984C2×C8—21no—
985C2×C8—21no—
986C2×C8—21no—
987C2×C8—21no—
988C2×C8—42no—
989C2×C8—42no—
990C4⋊C4—21no—
991C4⋊C4—21no—
992C4⋊C4—21no—
993C4⋊C4—21no—
994C4⋊C4—21no—
995C4⋊C4—21no—
996C4⋊C4—21no—
997C4⋊C4—21no—
998C4⋊C4—42no—
999C4⋊C4—42no—
1000C4⋊C4C22⋊C4×C6111yescharacteristic
1001C4⋊C4C22⋊C4×C6111yescharacteristic
1002C4⋊C4C22⋊C4×C6111yescharacteristic
1003C4⋊C4C22⋊C4×C6111yescharacteristic
1004C4⋊C4C22×C4×C6111yescharacteristic
1005C4⋊C4C22×C4×C6111yescharacteristic
1006C22⋊C4—21no—
1007C22⋊C4—21no—
1008C22⋊C4—21no—
1009C22⋊C4—21no—
1010C22⋊C4—21no—
1011C22⋊C4—21no—
1012C22⋊C4—21no—
1013C22⋊C4—21no—
1014C22⋊C4—21no—
1015C22⋊C4—21no—
1016C22⋊C4—21no—
1017C22⋊C4—21no—
1018C22⋊C4—21no—
1019C22⋊C4—21no—
1020C22⋊C4—21no—
1021C22⋊C4—42no—
1022C22⋊C4—42no—
1023C22⋊C4—42no—
1024C22⋊C4C22⋊C4×C6111yescharacteristic
1025C22⋊C4C22⋊C4×C6111yescharacteristic
1026C22⋊C4C22⋊C4×C6111yescharacteristic
1027C22⋊C4C22⋊C4×C6111yescharacteristic
1028C22⋊C4C22⋊C4×C6111yescharacteristic
1029C22⋊C4C22⋊C4×C6111yescharacteristic
1030C22⋊C4C22⋊C4×C6111yescharacteristic
1031C22⋊C4C22⋊C4×C6111yescharacteristic
1032C42—21no—
1033C42—21no—
1034C42—21no—
1035C42—21no—
1036C42—21no—
1037C42—21no—
1038C42—21no—
1039C42—21no—
1040C42—21no—
1041C42—21no—
1042C42—42no—
1043C42C22×C4×C6111yescharacteristic
1044C42C22×C4×C6111yescharacteristic
1045C42C2×D4×C6111yescharacteristic
1046C42C2×D4×C6111yescharacteristic
1047C42C2×D4×C6112yescomplemented
1048C23—21no—
1049C23—21no—
1050C23—22no—
1051C23—21no—
1052C23—21no—
1053C23—21no—
1054C23—21no—
1055C23—21no—
1056C23—41no—
1057C23—41no—
1058C23—41no—
1059C23—42no—
1060C23—42no—
1061C23—42no—
1062C23—42no—
1063C23—81no—
1064C23—81no—
1065C23C2×C22⋊C4×C6111yescharacteristic
1066C23C2×C22⋊C4×C6111yescharacteristic
1067C23C2×C22⋊C4×C6111yescharacteristic
1068C23C2×C22⋊C4×C6111yescharacteristic
1069C23C22×D4×C6111yescharacteristic
1070Q8—21no—
1071Q8—21no—
1072Q8—21no—
1073Q8—21no—
1074Q8—21no—
1075Q8—42no—
1076Q8—42no—
1077Q8C4×D4×C6112yes—
1078D4—22no—
1079D4—22no—
1080D4—22no—
1081D4—22no—
1082D4—21no—
1083D4—21no—
1084D4—21no—
1085D4—21no—
1086D4—21no—
1087D4—41no—
1088D4—41no—
1089D4—42no—
1090D4—42no—
1091D4—42no—
1092D4—42no—
1093D4—42no—
1094D4—42no—
1095D4—42no—
1096D4—42no—
1097D4—41no—
1098D4—41no—
1099D4—41no—
1100D4—41no—
1101D4—42no—
1102D4—81no—
1103D4—81no—
1104D4—81no—
1105D4C4×D4×C6112yes—
1106C2×C4—21no—
1107C2×C4—21no—
1108C2×C4—21no—
1109C2×C4—21no—
1110C2×C4—21no—
1111C2×C4—21no—
1112C2×C4—21no—
1113C2×C4—21no—
1114C2×C4—21no—
1115C2×C4—22no—
1116C2×C4—21no—
1117C2×C4—21no—
1118C2×C4—21no—
1119C2×C4—21no—
1120C2×C4—22no—
1121C2×C4—21no—
1122C2×C4—21no—
1123C2×C4—21no—
1124C2×C4—21no—
1125C2×C4—21no—
1126C2×C4—21no—
1127C2×C4—21no—
1128C2×C4—21no—
1129C2×C4—22no—
1130C2×C4—22no—
1131C2×C4—21no—
1132C2×C4—21no—
1133C2×C4—21no—
1134C2×C4—21no—
1135C2×C4—41no—
1136C2×C4—41no—
1137C2×C4—42no—
1138C2×C4—42no—
1139C2×C4—42no—
1140C2×C4—42no—
1141C2×C4—42no—
1142C2×C4—42no—
1143C2×C4—42no—
1144C2×C4—41no—
1145C2×C4—41no—
1146C2×C4—41no—
1147C2×C4—48no—
1148C2×C4—41no—
1149C2×C4—41no—
1150C2×C4—41no—
1151C2×C4—41no—
1152C2×C4—41no—
1153C2×C4—41no—
1154C2×C4—41no—
1155C2×C4—41no—
1156C2×C4—41no—
1157C2×C4—41no—
1158C2×C4—41no—
1159C2×C4—81no—
1160C2×C4C2×C22⋊C4×C6111yescharacteristic
1161C2×C4C2×C22⋊C4×C6111yescharacteristic
1162C2×C4C2×C22⋊C4×C6111yescharacteristic
1163C2×C4C2×C22⋊C4×C6111yescharacteristic
1164C2×C4C2×C22⋊C4×C6111yescharacteristic
1165C2×C4C2×C22⋊C4×C6111yescharacteristic
1166C2×C4C2×C22⋊C4×C6111yescharacteristic
1167C2×C4C2×C22⋊C4×C6111yescharacteristic
1168C2×C4C23×C4×C6111yescharacteristic
1169C2×C4C22×D4×C6111yescharacteristic
1170C2×C4C22×D4×C6111yescharacteristic
1171C2×C4C2×#41×C6111yescharacteristic
1172C2×C4H(5,𝔽2)×C6111yescharacteristic
1173C2×C4H(5,𝔽2)×C6111yescharacteristic
1174C8—22no—
1175C8—41no—
1176C8—41no—
1177C8—41no—
1178C22—21no—
1179C22—21no—
1180C22—21no—
1181C22—21no—
1182C22—21no—
1183C22—21no—
1184C22—21no—
1185C22—22no—
1186C22—21no—
1187C22—21no—
1188C22—21no—
1189C22—21no—
1190C22—21no—
1191C22—21no—
1192C22—42no—
1193C22—42no—
1194C22—41no—
1195C22—41no—
1196C22—41no—
1197C22—41no—
1198C22—41no—
1199C22—41no—
1200C22—41no—
1201C22—41no—
1202C22—81no—
1203C22—81no—
1204C22—84no—
1205C22—84no—
1206C22C61×#42112yescomplemented
1207C22C22×C22⋊C4×C6111yescharacteristic
1208C22D42×C6111yescharacteristic
1209C22C61×#54611yescharacteristic
1210C4—21no—
1211C4—21no—
1212C4—21no—
1213C4—21no—
1214C4—22no—
1215C4—21no—
1216C4—21no—
1217C4—21no—
1218C4—21no—
1219C4—42no—
1220C4—42no—
1221C4—41no—
1222C4—41no—
1223C4—41no—
1224C4—41no—
1225C4—81no—
1226C4—81no—
1227C4C2×C4×D4×C6111yescharacteristic
1228C4C61×#51811yescharacteristic
1229C4D42×C6111yescharacteristic
1230C4C61×#54611yescharacteristic
1231C2—21no—
1232C2—21no—
1233C2—22no—
1234C2—41no—
1235C2—41no—
1236C2—41no—
1237C2—42no—
1238C2—81no—
1239C2—81no—
1240C2D4×C22⋊C4×C6111yescharacteristic
1241C2C2×C61×#42111yescharacteristic
1242C2C61×#290111yescharacteristic
subgroupG/H
centerC2×C4×C61C22×D4
commutatorC2×C4C23×C4×C61
Frattini, cosocleC22×C4C24×C61
socleC22×C61C22×C22⋊C4
prime radicalD4×#41×C61C2
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C2×C4×C61 ◁ C2×C4×D4×C61 ◁ G

Complements

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

NH ≅ G/Ntype
2. D4×M16×C61C2semidirect
3. C2×C61×#421C2semidirect
4. C22×#104×C61C2semidirect
5. C61×#2290C2semidirect
6. C61×#1980C2semidirect
7. C61×#1963C2semidirect
8. C61×#1897C2semidirect
9. C61×#1896C2semidirect
10. C61×#1871C2semidirect
11. C61×#1871C2semidirect
12. C61×#1806C2semidirect
13. C61×#1789C2semidirect
14. C61×#1789C2semidirect
15. C61×#1759C2semidirect
18. C22×M16×C61C22semidirect
19. C22×M16×C61C22semidirect
20. C61×#550C4semidirect
21. D4×Q8×C61C4semidirect
22. C61×#548C4semidirect
23. C61×#548C4semidirect
25. C61×#547C4semidirect
28. C61×#546C4semidirect
29. C61×#546C4semidirect
31. D42×C61C4semidirect
41. C2×#117×C61C22semidirect
42. C22×C42×C61C22semidirect
47. C61×#423C22semidirect
54. C2×#104×C61C22semidirect
55. C2×#104×C61C22semidirect
56. C2×#104×C61C22semidirect
57. C2×#104×C61C22semidirect
58. C2×#104×C61C22semidirect
59. C2×#104×C61C22semidirect
60. C2×#104×C61C22semidirect
61. C2×#104×C61C22semidirect
62. C61×#407C22semidirect
63. C61×#407C22semidirect
64. C4×M16×C61C22semidirect
69. C4×C4⋊C4×C61C22semidirect
70. C4×C22⋊C4×C61C22semidirect
71. C4×C22⋊C4×C61C22semidirect
72. C61×#376C22semidirect
73. C61×#339C22semidirect
74. C61×#339C22semidirect
75. C61×#339C22semidirect
76. C61×#339C22semidirect
91. C2×#41×C61C2×C4semidirect
92. C2×#41×C61C2×C4semidirect
97. C22×Q8×C61C2×C4semidirect
102. C22×D4×C61C2×C4semidirect
122. C4⋊Q8×C61C2×C4semidirect
124. #127×C61C2×C4semidirect
127. #124×C61C2×C4semidirect
128. #124×C61C2×C4semidirect
141. C22⋊Q8×C61C2×C4semidirect
142. C22⋊Q8×C61C2×C4semidirect
155. #121×C61C2×C4semidirect
156. #121×C61C2×C4semidirect
163. C4×Q8×C61C2×C4semidirect
164. C4×Q8×C61C2×C4semidirect
181. C4×D4×C61C2×C4semidirect
182. C4×D4×C61C2×C4semidirect
224. #104×C61D4semidirect
361. M16×C61C2×D4semidirect
425. C42×C61C2×D4semidirect
556. #22434C61direct (N × H)
585. C22×C61#421semidirect
611. D4×M16C2×C61semidirect
612. C2×#421C2×C61semidirect
613. C22×#104C2×C61semidirect
614. #2290C2×C61semidirect
615. #1980C2×C61semidirect
616. #1963C2×C61semidirect
617. #1897C2×C61semidirect
618. #1896C2×C61semidirect
619. #1871C2×C61semidirect
620. #1871C2×C61semidirect
621. #1806C2×C61semidirect
622. #1789C2×C61semidirect
623. #1789C2×C61semidirect
624. #1759C2×C61semidirect
639. C22×M16C22×C61semidirect
640. C22×M16C22×C61semidirect
641. #550C4×C61semidirect
642. D4×Q8C4×C61semidirect
643. #548C4×C61semidirect
644. #548C4×C61semidirect
646. #547C4×C61semidirect
649. #546C4×C61semidirect
650. #546C4×C61semidirect
652. D42C4×C61semidirect
662. C2×#117C22×C61semidirect
663. C22×C42C22×C61semidirect
668. #423C22×C61semidirect
675. C2×#104C22×C61semidirect
676. C2×#104C22×C61semidirect
677. C2×#104C22×C61semidirect
678. C2×#104C22×C61semidirect
679. C2×#104C22×C61semidirect
680. C2×#104C22×C61semidirect
681. C2×#104C22×C61semidirect
682. C2×#104C22×C61semidirect
683. #407C22×C61semidirect
684. #407C22×C61semidirect
685. C4×M16C22×C61semidirect
690. C4×C4⋊C4C22×C61semidirect
691. C4×C22⋊C4C22×C61semidirect
692. C4×C22⋊C4C22×C61semidirect
693. #376C22×C61semidirect
694. #339C22×C61semidirect
695. #339C22×C61semidirect
696. #339C22×C61semidirect
697. #339C22×C61semidirect
698. C61#22434direct (N × H)
713. C2×#41C2×C4×C61semidirect
714. C2×#41C2×C4×C61semidirect
719. C22×Q8C2×C4×C61semidirect
724. C22×D4C2×C4×C61semidirect
744. C4⋊Q8C2×C4×C61semidirect
746. #127C2×C4×C61semidirect
749. #124C2×C4×C61semidirect
750. #124C2×C4×C61semidirect
763. C22⋊Q8C2×C4×C61semidirect
764. C22⋊Q8C2×C4×C61semidirect
777. #121C2×C4×C61semidirect
778. #121C2×C4×C61semidirect
785. C4×Q8C2×C4×C61semidirect
786. C4×Q8C2×C4×C61semidirect
803. C4×D4C2×C4×C61semidirect
804. C4×D4C2×C4×C61semidirect
846. #104D4×C61semidirect
983. M16C2×D4×C61semidirect
1047. C42C2×D4×C61semidirect
1206. C22C61×#421semidirect

Maximal subgroups

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

subgroupindex
D4×#41×C612
D4×M16×C612
C2×C61×#4212
C22×#104×C612
C61×#22902
C61×#19802
C61×#19632
C61×#18972
C61×#18962
C61×#18712
C61×#18062
C61×#17892
C61×#17592
#2243461