Finite Group Databasebeta

← C61×#60986 #29564419

Subgroups — C61×#60986 #29564419

Order 15616.

1746 conjugacy classes of subgroups.

The subgroup lattice has 1714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C61×#3494C211yesmaximal, characteristic, complemented
2C61×#3455C211yesmaximal, characteristic, complemented
3C61×#3263C211yesmaximal, characteristic, complemented
4C61×#3262C211yesmaximal, characteristic, complemented
5C61×#3257C211yesmaximal, characteristic, complemented
6C61×#3257C211yesmaximal, characteristic, complemented
7C61×#3242C211yesmaximal, characteristic, complemented
8C61×#3241C211yesmaximal, characteristic, complemented
9C61×#3235C211yesmaximal, characteristic, complemented
10C61×#3233C211yesmaximal, characteristic, complemented
11C61×#3222C211yesmaximal, characteristic, complemented
12C61×#3220C211yesmaximal, characteristic, complemented
13C61×#3219C211yesmaximal, characteristic, complemented
14C61×#3207C211yesmaximal, characteristic, complemented
15C61×#3197C211yesmaximal, characteristic, complemented
16C61×#3194C211yesmaximal, characteristic, complemented
17C61×#3191C211yesmaximal, characteristic, complemented
18C61×#3188C211yesmaximal, characteristic, complemented
19C61×#3179C211yesmaximal, characteristic, complemented
20C61×#3178C211yesmaximal, characteristic, complemented
21C61×#3176C211yesmaximal, characteristic, complemented
22C61×#3174C211yesmaximal, characteristic, complemented
23C61×#3125C211yesmaximal, characteristic, complemented
24C61×#3124C211yesmaximal, characteristic, complemented
25C61×#3118C211yesmaximal, characteristic, complemented
26C61×#3118C211yesmaximal, characteristic, complemented
27C61×#3115C211yesmaximal, characteristic, complemented
28C61×#3111C211yesmaximal, characteristic, complemented
29C61×#3106C211yesmaximal, characteristic, complemented
30C61×#3102C211yesmaximal, characteristic, complemented
31C61×#2924C211yesmaximal, characteristic, complemented
32C61×#555—21no—
33C61×#553—21no—
34C61×#553—21no—
35C61×#551—21no—
36C61×#551—21no—
37C61×#547—21no—
38C61×#546—21no—
39C61×#546—21no—
40C61×#544C2211yescharacteristic
41C61×#542C2211yescharacteristic
42C61×#542C2211yescharacteristic
43C61×#542C2211yescharacteristic
44C61×#542C2211yescharacteristic
45C61×#542C2211yescharacteristic, complemented
46C61×#542C2211yescharacteristic, complemented
47C61×#541C2211yescharacteristic
48C61×#541C2211yescharacteristic, complemented
49C61×#540C2211yescharacteristic
50C61×#540C2211yescharacteristic
51C61×#540C2211yescharacteristic
52C61×#540C2211yescharacteristic, complemented
53C61×#539—21no—
54C61×#539—21no—
55C61×#538—21no—
56C61×#538—21no—
57C61×#535C2211yescharacteristic
58C61×#533C2211yescharacteristic, complemented
59C61×#532C2211yescharacteristic
60C61×#532C2211yescharacteristic
61C61×#532C2211yescharacteristic, complemented
62C61×#529—21no—
63C61×#529—21no—
64C61×#529—21no—
65C61×#529—21no—
66C61×#529C2211yescharacteristic
67C61×#529C2211yescharacteristic
68C61×#525C2211yescharacteristic
69C61×#525C2211yescharacteristic
70C61×#525C2211yescharacteristic
71C2×#121×C61C2211yescharacteristic
72C61×#520C2211yescharacteristic
73C61×#518C2211yescharacteristic
74C4×#41×C61C2211yescharacteristic, complemented
75C4×#41×C61C2211yescharacteristic, complemented
76C2×#117×C61C2211yescharacteristic
77C61×#501C2211yescharacteristic, complemented
78C61×#501C2211yescharacteristic, complemented
79C61×#499C2211yescharacteristic, complemented
80C61×#499C2211yescharacteristic, complemented
81C61×#497C2211yescharacteristic, complemented
82C61×#496C2211yescharacteristic, complemented
83C61×#493C2211yescharacteristic, complemented
84C61×#492C2211yescharacteristic, complemented
85C61×#491C2211yescharacteristic, complemented
86C61×#490C2211yescharacteristic, complemented
87C61×#490C2211yescharacteristic, complemented
88C61×#490C2211yescharacteristic, complemented
89C61×#488C2211yescharacteristic, complemented
90C61×#488C2211yescharacteristic, complemented
91C61×#487C2211yescharacteristic, complemented
92C61×#486C2211yescharacteristic, complemented
93C61×#485C2211yescharacteristic
94C61×#485C2211yescharacteristic
95C61×#485C2211yescharacteristic, complemented
96C61×#485C2211yescharacteristic, complemented
97C61×#484C2211yescharacteristic
98C61×#483C2211yescharacteristic
99C61×#482C2211yescharacteristic
100C61×#482C2211yescharacteristic
101C61×#482C2211yescharacteristic
102C61×#482C2211yescharacteristic
103C61×#482C2211yescharacteristic
104C61×#482C2211yescharacteristic
105C61×#482C2211yescharacteristic, complemented
106C61×#482C2211yescharacteristic, complemented
107C61×#481C2211yescharacteristic
108C61×#480C2211yescharacteristic
109C61×#479C2211yescharacteristic, complemented
110C61×#479C2211yescharacteristic, complemented
111C61×#478C2211yescharacteristic, complemented
112C61×#478C2211yescharacteristic, complemented
113C61×#477C2211yescharacteristic, complemented
114C61×#477C2211yescharacteristic, complemented
115C61×#476C2211yescharacteristic, complemented
116C61×#476C2211yescharacteristic, complemented
117C61×#476C2211yescharacteristic, complemented
118C61×#476C2211yescharacteristic, complemented
119C61×#475C2211yescharacteristic, complemented
120C61×#475C2211yescharacteristic, complemented
121C61×#474C2211yescharacteristic, complemented
122C61×#474C2211yescharacteristic, complemented
123C61×#474C2211yescharacteristic, complemented
124C61×#474C2211yescharacteristic, complemented
125C61×#470C2211yescharacteristic, complemented
126C61×#469C2211yescharacteristic
127C61×#469C2211yescharacteristic
128C61×#469C2211yescharacteristic, complemented
129C61×#468C2211yescharacteristic
130C61×#468C2211yescharacteristic
131C61×#468C2211yescharacteristic, complemented
132C61×#468C2211yescharacteristic, complemented
133C61×#467C2211yescharacteristic, complemented
134C61×#466C2211yescharacteristic
135C61×#466C2211yescharacteristic
136C61×#466C2211yescharacteristic, complemented
137C61×#465C2211yescharacteristic
138C61×#465C2211yescharacteristic
139C61×#465C2211yescharacteristic, complemented
140C61×#465C2211yescharacteristic, complemented
141C61×#464C2211yescharacteristic, complemented
142C61×#464C2211yescharacteristic, complemented
143C61×#464C2211yescharacteristic, complemented
144C61×#464C2211yescharacteristic, complemented
145C61×#463C2211yescharacteristic, complemented
146C61×#463C2211yescharacteristic, complemented
147C61×#463C2211yescharacteristic, complemented
148C61×#463C2211yescharacteristic, complemented
149C61×#463C2211yescharacteristic, complemented
150C61×#463C2211yescharacteristic, complemented
151C61×#463C2211yescharacteristic, complemented
152C61×#463C2211yescharacteristic, complemented
153C61×#460C2211yescharacteristic, complemented
154C61×#460C2211yescharacteristic, complemented
155C61×#459C2211yescharacteristic, complemented
156C61×#459C2211yescharacteristic, complemented
157C61×#452C2211yescharacteristic
158C61×#452C2211yescharacteristic
159C61×#452C2211yescharacteristic, complemented
160C61×#452C2211yescharacteristic, complemented
161C61×#450C2211yescharacteristic
162C61×#450C2211yescharacteristic
163C61×#449C2211yescharacteristic
164C61×#449C2211yescharacteristic
165C61×#449C2211yescharacteristic
166C61×#449C2211yescharacteristic
167C61×#449C2211yescharacteristic
168C61×#449C2211yescharacteristic
169C61×#449C2211yescharacteristic, complemented
170C61×#449C2211yescharacteristic, complemented
171C61×#447C2211yescharacteristic
172C61×#447C2211yescharacteristic
173C61×#442C2211yescharacteristic, complemented
174C61×#442C2211yescharacteristic, complemented
175C61×#442C2211yescharacteristic, complemented
176C61×#441C2211yescharacteristic, complemented
177C61×#440C2211yescharacteristic, complemented
178C61×#440C2211yescharacteristic, complemented
179C61×#440C2211yescharacteristic, complemented
180C61×#440C2211yescharacteristic, complemented
181C4×Q16×C61C2211yescharacteristic, complemented
182C4×SD16×C61C2211yescharacteristic, complemented
183C4×SD16×C61C2211yescharacteristic, complemented
184C4×SD16×C61C2211yescharacteristic, complemented
185C4×SD16×C61C2211yescharacteristic, complemented
186C4×D8×C61C2211yescharacteristic, complemented
187C4×D8×C61C2211yescharacteristic, complemented
188C4×D8×C61C2211yescharacteristic, complemented
189C61×#433C2211yescharacteristic
190C61×#433C2211yescharacteristic
191C61×#433C2211yescharacteristic
192C61×#433C2211yescharacteristic
193C61×#432C2211yescharacteristic, complemented
194C61×#432C2211yescharacteristic, complemented
195C61×#431C2211yescharacteristic, complemented
196C61×#431C2211yescharacteristic, complemented
197C61×#424C2211yescharacteristic, complemented
198C61×#424C2211yescharacteristic, complemented
199C61×#407C2211yescharacteristic
200C2×C22⋊C8×C61C2211yescharacteristic
201C61×#405C2211yescharacteristic, complemented
202C61×#405C2211yescharacteristic, complemented
203C2×#41×C61—21no—
204C2×#41×C61—21no—
205C2×#41×C61C2311yescharacteristic
206C2×#41×C61C2311yescharacteristic
207C2×#41×C61C2311yescharacteristic
208C22×D4×C61—21no—
209C22×D4×C61C2311yescharacteristic
210C23×C4×C61C2311yescharacteristic
211C2×Q16×C61C2311yescharacteristic
212C2×Q16×C61C2311yescharacteristic
213C2×SD16×C61C2311yescharacteristic
214C2×SD16×C61C2311yescharacteristic
215C2×SD16×C61C2311yescharacteristic
216C2×SD16×C61C2311yescharacteristic
217C2×SD16×C61C2311yescharacteristic
218C2×SD16×C61C2311yescharacteristic
219C2×SD16×C61C2311yescharacteristic
220C2×SD16×C61C2311yescharacteristic
221C2×D8×C61C2311yescharacteristic
222C2×D8×C61C2311yescharacteristic
223C2×D8×C61C2311yescharacteristic
224C2×D8×C61C2311yescharacteristic
225C2×D8×C61C2311yescharacteristic
226C2×D8×C61C2311yescharacteristic
227C2×M16×C61C2311yescharacteristic
228C2×M16×C61C2311yescharacteristic
229C22×C8×C61C2311yescharacteristic
230C22×C8×C61C2311yescharacteristic
231C4⋊Q8×C61—21no—
232C4⋊Q8×C61C2311yescharacteristic
233C4⋊Q8×C61C2311yescharacteristic
234C4⋊Q8×C61C2311yescharacteristic
235C4⋊Q8×C61C2311yescharacteristic
236C4⋊Q8×C61C2311yescharacteristic
237#127×C61C2311yescharacteristic
238#127×C61C2311yescharacteristic
239#127×C61C2311yescharacteristic
240#126×C61—21no—
241#126×C61—21no—
242#126×C61—21no—
243#126×C61—21no—
244#126×C61—21no—
245#126×C61—21no—
246#126×C61—21no—
247#126×C61—21no—
248#126×C61—21no—
249#126×C61—21no—
250#126×C61—21no—
251#126×C61—21no—
252#125×C61—21no—
253#125×C61—21no—
254#125×C61—21no—
255#125×C61—21no—
256#125×C61—21no—
257#125×C61C2311yescharacteristic
258#125×C61C2311yescharacteristic
259#125×C61C2311yescharacteristic
260#125×C61C2311yescharacteristic
261#124×C61—21no—
262#124×C61—21no—
263#124×C61—21no—
264#124×C61—21no—
265#124×C61—21no—
266#124×C61—21no—
267#124×C61—21no—
268#124×C61—21no—
269#124×C61C2311yescharacteristic
270#124×C61C2311yescharacteristic
271#124×C61C2311yescharacteristic
272#124×C61C2311yescharacteristic
273#123×C61—21no—
274#123×C61—21no—
275#123×C61—21no—
276#123×C61—21no—
277#123×C61—21no—
278#123×C61—21no—
279#123×C61—21no—
280#123×C61—21no—
281#123×C61—21no—
282#123×C61—21no—
283#123×C61—21no—
284#123×C61—21no—
285#123×C61—21no—
286#123×C61—21no—
287#123×C61—21no—
288#123×C61—21no—
289#123×C61—21no—
290#123×C61—21no—
291#123×C61—21no—
292C22⋊Q8×C61—21no—
293C22⋊Q8×C61—21no—
294C22⋊Q8×C61—21no—
295C22⋊Q8×C61—21no—
296C22⋊Q8×C61—21no—
297C22⋊Q8×C61—21no—
298C22⋊Q8×C61—21no—
299C22⋊Q8×C61—21no—
300C22⋊Q8×C61—21no—
301C22⋊Q8×C61—21no—
302C22⋊Q8×C61C2311yescharacteristic
303C22⋊Q8×C61C2311yescharacteristic
304C22⋊Q8×C61C2311yescharacteristic
305C22⋊Q8×C61C2311yescharacteristic
306C22⋊Q8×C61C2311yescharacteristic
307C22⋊Q8×C61C2311yescharacteristic
308#121×C61—21no—
309#121×C61—21no—
310#121×C61—21no—
311#121×C61—21no—
312#121×C61—21no—
313#121×C61—21no—
314#121×C61—21no—
315#121×C61—21no—
316#121×C61—21no—
317#121×C61—21no—
318#121×C61—21no—
319#121×C61—21no—
320#121×C61—21no—
321#121×C61—21no—
322#121×C61—21no—
323#121×C61—21no—
324#121×C61C2311yescharacteristic
325#121×C61C2311yescharacteristic
326#121×C61C2311yescharacteristic
327#121×C61C2311yescharacteristic
328#121×C61C2311yescharacteristic
329#121×C61C2311yescharacteristic
330#121×C61C2311yescharacteristic
331#121×C61C2311yescharacteristic
332#121×C61C2311yescharacteristic
333#121×C61C2311yescharacteristic
334#120×C61—21no—
335#120×C61—21no—
336#120×C61—21no—
337#120×C61—21no—
338#120×C61—21no—
339C4×Q8×C61—21no—
340C4×Q8×C61—21no—
341C4×Q8×C61C2311yescharacteristic
342C4×Q8×C61C2311yescharacteristic
343C4×Q8×C61C2311yescharacteristic
344C4×Q8×C61C2311yescharacteristic
345C4×Q8×C61C2311yescharacteristic
346C4×Q8×C61C2311yescharacteristic
347C4×D4×C61—21no—
348C4×D4×C61—21no—
349C4×D4×C61—21no—
350C4×D4×C61—21no—
351C4×D4×C61—21no—
352C4×D4×C61—21no—
353C4×D4×C61—21no—
354C4×D4×C61—21no—
355C4×D4×C61—21no—
356C4×D4×C61—21no—
357C4×D4×C61—21no—
358C4×D4×C61—21no—
359C4×D4×C61—21no—
360C4×D4×C61—21no—
361C4×D4×C61—21no—
362C4×D4×C61—21no—
363C4×D4×C61—21no—
364C4×D4×C61—21no—
365C4×D4×C61—21no—
366C4×D4×C61—21no—
367C4×D4×C61C2311yescharacteristic
368C4×D4×C61C2311yescharacteristic
369C4×D4×C61C2311yescharacteristic
370C4×D4×C61C2311yescharacteristic
371C4×D4×C61C2311yescharacteristic
372C4×D4×C61C2311yescharacteristic
373C4×D4×C61C2311yescharacteristic
374C4×D4×C61C2311yescharacteristic
375C4×D4×C61C2311yescharacteristic
376C4×D4×C61C2311yescharacteristic
377#117×C61—21no—
378#117×C61—21no—
379#117×C61—21no—
380#117×C61—21no—
381#117×C61—21no—
382#117×C61D411yescharacteristic
383#117×C61D411yescharacteristic
384#117×C61D411yescharacteristic
385#117×C61D411yescharacteristic
386#117×C61C2311yescharacteristic
387#117×C61C2311yescharacteristic
388#117×C61C2311yescharacteristic
389#117×C61C2311yescharacteristic
390#117×C61C2311yescharacteristic
391#117×C61C2311yescharacteristic
392#117×C61C2311yescharacteristic
393C2×C4⋊C4×C61—21no—
394C2×C4⋊C4×C61D411yescharacteristic
395C2×C4⋊C4×C61D411yescharacteristic
396C2×C4⋊C4×C61C2311yescharacteristic
397C2×C22⋊C4×C61—21no—
398C2×C22⋊C4×C61—21no—
399C2×C22⋊C4×C61—21no—
400C2×C22⋊C4×C61D411yescharacteristic
401C2×C22⋊C4×C61D411yescharacteristic
402C2×C42×C61—21no—
403C2×C42×C61—21no—
404C2×C42×C61C2311yescharacteristic
405C2×C42×C61C2311yescharacteristic
406#107×C61C2311yescharacteristic
407#107×C61C2311yescharacteristic
408#107×C61C2311yescharacteristic
409#107×C61C2311yescharacteristic
410#107×C61C2311yescharacteristic
411#107×C61C2311yescharacteristic
412#107×C61C2311yescharacteristic
413#107×C61C2311yescharacteristic
414#106×C61C2311yescharacteristic
415#106×C61C2311yescharacteristic
416#106×C61C2311yescharacteristic
417#106×C61C2311yescharacteristic
418#106×C61C2311yescharacteristic
419#106×C61C2311yescharacteristic
420#106×C61C2311yescharacteristic
421#106×C61C2311yescharacteristic
422C4⋊C8×C61C2311yescharacteristic
423C4⋊C8×C61C2311yescharacteristic
424C4⋊C8×C61C2311yescharacteristic
425C4⋊C8×C61C2311yescharacteristic
426C4⋊C8×C61C2311yescharacteristic
427C4⋊C8×C61C2311yescharacteristic
428C4⋊C8×C61C2311yescharacteristic
429C4⋊C8×C61C2311yescharacteristic
430#103×C61C2311yescharacteristic
431#103×C61C2311yescharacteristic
432#103×C61C2311yescharacteristic
433#103×C61C2311yescharacteristic
434#103×C61C2311yescharacteristic
435#103×C61C2311yescharacteristic
436#103×C61C2311yescharacteristic
437#103×C61C2311yescharacteristic
438#103×C61C2311yescharacteristic
439#103×C61C2311yescharacteristic
440#103×C61C2311yescharacteristic
441#103×C61C2311yescharacteristic
442#102×C61C2311yescharacteristic
443#102×C61C2311yescharacteristic
444#102×C61C2311yescharacteristic
445#102×C61C2311yescharacteristic
446#102×C61C2311yescharacteristic
447#102×C61C2311yescharacteristic
448#102×C61C2311yescharacteristic
449#102×C61C2311yescharacteristic
450#102×C61C2311yescharacteristic
451#102×C61C2311yescharacteristic
452#102×C61C2311yescharacteristic
453#102×C61C2311yescharacteristic
454#102×C61C2311yescharacteristic
455#102×C61C2311yescharacteristic
456#102×C61C2311yescharacteristic
457#102×C61C2311yescharacteristic
458#102×C61C2311yescharacteristic
459#102×C61C2311yescharacteristic
460#102×C61C2311yescharacteristic
461#102×C61C2311yescharacteristic
462C22⋊C8×C61C2311yescharacteristic
463C22⋊C8×C61C2311yescharacteristic
464C22⋊C8×C61C2311yescharacteristic
465C22⋊C8×C61C2311yescharacteristic
466C22⋊C8×C61C2311yescharacteristic
467C22⋊C8×C61C2311yescharacteristic
468C22⋊C8×C61C2311yescharacteristic
469C22⋊C8×C61C2311yescharacteristic
470#97×C61C2311yescharacteristic
471#97×C61C2311yescharacteristic
472#97×C61C2311yescharacteristic
473#97×C61C2311yescharacteristic
474C4×C8×C61C2311yescharacteristic
475C4×C8×C61C2311yescharacteristic
476C4×C8×C61C2311yescharacteristic
477C4×C8×C61C2311yescharacteristic
478C24×C61—21no—
479C24×C61C2×D411yescharacteristic
480#41×C61—41no—
481#41×C61—41no—
482#41×C61—41no—
483#41×C61—41no—
484#41×C61—41no—
485#41×C61—41no—
486#41×C61—82no—
487#41×C61—82no—
488C2×Q8×C61—21no—
489C2×Q8×C61—21no—
490C2×Q8×C61—21no—
491C2×Q8×C61—21no—
492C2×Q8×C61C2411yescharacteristic
493C2×Q8×C61C2411yescharacteristic
494C2×Q8×C61C2411yescharacteristic
495C2×D4×C61—21no—
496C2×D4×C61—21no—
497C2×D4×C61—21no—
498C2×D4×C61—21no—
499C2×D4×C61—21no—
500C2×D4×C61—21no—
501C2×D4×C61—21no—
502C2×D4×C61—21no—
503C2×D4×C61—21no—
504C2×D4×C61—21no—
505C2×D4×C61—21no—
506C2×D4×C61—21no—
507C2×D4×C61—21no—
508C2×D4×C61—21no—
509C2×D4×C61—21no—
510C2×D4×C61—21no—
511C2×D4×C61—21no—
512C2×D4×C61—21no—
513C2×D4×C61—21no—
514C2×D4×C61—21no—
515C2×D4×C61—41no—
516C2×D4×C61—41no—
517C2×D4×C61—82no—
518C2×D4×C61C2411yescharacteristic
519C2×D4×C61C2411yescharacteristic
520C2×D4×C61C2411yescharacteristic
521C2×D4×C61C2411yescharacteristic
522C2×D4×C61C2411yescharacteristic
523C22×C4×C61—21no—
524C22×C4×C61—21no—
525C22×C4×C61—21no—
526C22×C4×C61—21no—
527C22×C4×C61—21no—
528C22×C4×C61—21no—
529C22×C4×C61—21no—
530C22×C4×C61—21no—
531C22×C4×C61—21no—
532C22×C4×C61—21no—
533C22×C4×C61—21no—
534C22×C4×C61—21no—
535C22×C4×C61—21no—
536C22×C4×C61—21no—
537C22×C4×C61—41no—
538C22×C4×C61—41no—
539C22×C4×C61C2×D411yescharacteristic
540C22×C4×C61C2×D411yescharacteristic
541C22×C4×C61C2×D411yescharacteristic
542C22×C4×C61C2×D411yescharacteristic
543C22×C4×C61C2×D411yescharacteristic
544C22×C4×C61C2×D411yescharacteristic
545C22×C4×C61C2×D411yescharacteristic
546C22×C4×C61C2411yescharacteristic
547C22×C4×C61C2411yescharacteristic
548C22×C4×C61C2411yescharacteristic
549Q16×C61—41no—
550Q16×C61—41no—
551SD16×C61—41no—
552SD16×C61—41no—
553SD16×C61—41no—
554SD16×C61—41no—
555SD16×C61—41no—
556SD16×C61—41no—
557SD16×C61—41no—
558SD16×C61—41no—
559D8×C61—41no—
560D8×C61—41no—
561D8×C61—41no—
562D8×C61—41no—
563D8×C61—41no—
564D8×C61—41no—
565M16×C61—41no—
566M16×C61—41no—
567C2×C8×C61—41no—
568C2×C8×C61—41no—
569C2×C8×C61C2411yescharacteristic
570C2×C8×C61C2411yescharacteristic
571C2×C8×C61C2411yescharacteristic
572C2×C8×C61C2411yescharacteristic
573C2×C8×C61C2411yescharacteristic
574C2×C8×C61C2411yescharacteristic
575C2×C8×C61C2411yescharacteristic
576C2×C8×C61C2411yescharacteristic
577C4⋊C4×C61—21no—
578C4⋊C4×C61—21no—
579C4⋊C4×C61—21no—
580C4⋊C4×C61—21no—
581C4⋊C4×C61—21no—
582C4⋊C4×C61—21no—
583C4⋊C4×C61—21no—
584C4⋊C4×C61—21no—
585C4⋊C4×C61—21no—
586C4⋊C4×C61—21no—
587C4⋊C4×C61—21no—
588C4⋊C4×C61—21no—
589C4⋊C4×C61—21no—
590C4⋊C4×C61—21no—
591C4⋊C4×C61—21no—
592C4⋊C4×C61—21no—
593C4⋊C4×C61—21no—
594C4⋊C4×C61—21no—
595C4⋊C4×C61—21no—
596C4⋊C4×C61—21no—
597C4⋊C4×C61—21no—
598C4⋊C4×C61—21no—
599C4⋊C4×C61—21no—
600C4⋊C4×C61—21no—
601C4⋊C4×C61—21no—
602C4⋊C4×C61—21no—
603C4⋊C4×C61—21no—
604C4⋊C4×C61C2×D411yescharacteristic
605C4⋊C4×C61C2×D411yescharacteristic
606C4⋊C4×C61C2×D411yescharacteristic
607C4⋊C4×C61C2×D411yescharacteristic
608C4⋊C4×C61C2×D411yescharacteristic
609C4⋊C4×C61C2×D411yescharacteristic
610C4⋊C4×C61C2×D411yescharacteristic
611C4⋊C4×C61C2×D411yescharacteristic
612C4⋊C4×C61C2411yescharacteristic
613C4⋊C4×C61C2411yescharacteristic
614C4⋊C4×C61C2411yescharacteristic
615C4⋊C4×C61C2411yescharacteristic
616C4⋊C4×C61C2411yescharacteristic
617C4⋊C4×C61C2411yescharacteristic
618C4⋊C4×C61C2411yescharacteristic
619C4⋊C4×C61C2411yescharacteristic
620C22⋊C4×C61—21no—
621C22⋊C4×C61—21no—
622C22⋊C4×C61—21no—
623C22⋊C4×C61—21no—
624C22⋊C4×C61—21no—
625C22⋊C4×C61—21no—
626C22⋊C4×C61—21no—
627C22⋊C4×C61—21no—
628C22⋊C4×C61—21no—
629C22⋊C4×C61—21no—
630C22⋊C4×C61—21no—
631C22⋊C4×C61—21no—
632C22⋊C4×C61—21no—
633C22⋊C4×C61—21no—
634C22⋊C4×C61—21no—
635C22⋊C4×C61—21no—
636C22⋊C4×C61—21no—
637C22⋊C4×C61—21no—
638C22⋊C4×C61—21no—
639C22⋊C4×C61—21no—
640C22⋊C4×C61—21no—
641C22⋊C4×C61—21no—
642C22⋊C4×C61—21no—
643C22⋊C4×C61—21no—
644C22⋊C4×C61—21no—
645C22⋊C4×C61—21no—
646C22⋊C4×C61—21no—
647C22⋊C4×C61—21no—
648C22⋊C4×C61—21no—
649C22⋊C4×C61—21no—
650C22⋊C4×C61—21no—
651C22⋊C4×C61—21no—
652C22⋊C4×C61—21no—
653C22⋊C4×C61—21no—
654C22⋊C4×C61—21no—
655C22⋊C4×C61—21no—
656C22⋊C4×C61—21no—
657C22⋊C4×C61C2×D411yescharacteristic
658C22⋊C4×C61C2×D411yescharacteristic
659C22⋊C4×C61C2×D411yescharacteristic
660C22⋊C4×C61C2×D411yescharacteristic
661C22⋊C4×C61C2×D411yescharacteristic
662C22⋊C4×C61C2×D411yescharacteristic
663C22⋊C4×C61C2×D411yescharacteristic
664C22⋊C4×C61C2×D411yescharacteristic
665C42×C61—21no—
666C42×C61—21no—
667C42×C61—21no—
668C42×C61—21no—
669C42×C61—21no—
670C42×C61—21no—
671C42×C61—21no—
672C42×C61—21no—
673C42×C61—21no—
674C42×C61C2×D411yescharacteristic
675C42×C61C2×D411yescharacteristic
676C42×C61C2×D411yescharacteristic
677C42×C61C2×D411yescharacteristic
678C42×C61C2411yescharacteristic
679C42×C61C2411yescharacteristic
680C42×C61C2411yescharacteristic
681C42×C61C2411yescharacteristic
682C23×C61—21no—
683C23×C61—21no—
684C23×C61—21no—
685C23×C61—21no—
686C23×C61—21no—
687C23×C61—41no—
688C23×C61—41no—
689C23×C61—41no—
690C23×C61—42no—
691C23×C61—81no—
692C23×C61—81no—
693C23×C61C22×D411yescharacteristic
694C23×C61C22×D411yescharacteristic
695C23×C61C22×D411yescharacteristic
696Q8×C61—21no—
697Q8×C61—21no—
698Q8×C61—21no—
699Q8×C61—21no—
700Q8×C61—21no—
701Q8×C61—21no—
702Q8×C61—81no—
703Q8×C61—81no—
704Q8×C61—81no—
705Q8×C61—81no—
706D4×C61—21no—
707D4×C61—21no—
708D4×C61—21no—
709D4×C61—21no—
710D4×C61—21no—
711D4×C61—21no—
712D4×C61—21no—
713D4×C61—21no—
714D4×C61—21no—
715D4×C61—21no—
716D4×C61—42no—
717D4×C61—42no—
718D4×C61—42no—
719D4×C61—42no—
720D4×C61—42no—
721D4×C61—42no—
722D4×C61—42no—
723D4×C61—81no—
724D4×C61—81no—
725D4×C61—81no—
726D4×C61—81no—
727D4×C61—81no—
728D4×C61—81no—
729D4×C61—81no—
730D4×C61—81no—
731D4×C61—81no—
732D4×C61—81no—
733D4×C61—81no—
734D4×C61—81no—
735D4×C61—81no—
736C2×C4×C61—21no—
737C2×C4×C61—21no—
738C2×C4×C61—21no—
739C2×C4×C61—21no—
740C2×C4×C61—21no—
741C2×C4×C61—21no—
742C2×C4×C61—21no—
743C2×C4×C61—21no—
744C2×C4×C61—21no—
745C2×C4×C61—21no—
746C2×C4×C61—21no—
747C2×C4×C61—21no—
748C2×C4×C61—21no—
749C2×C4×C61—21no—
750C2×C4×C61—21no—
751C2×C4×C61—21no—
752C2×C4×C61—21no—
753C2×C4×C61—41no—
754C2×C4×C61—41no—
755C2×C4×C61—41no—
756C2×C4×C61—41no—
757C2×C4×C61—41no—
758C2×C4×C61—41no—
759C2×C4×C61—41no—
760C2×C4×C61—42no—
761C2×C4×C61—42no—
762C2×C4×C61—42no—
763C2×C4×C61—81no—
764C2×C4×C61—81no—
765C2×C4×C61—81no—
766C2×C4×C61—81no—
767C2×C4×C61—81no—
768C2×C4×C61—81no—
769C2×C4×C61—81no—
770C2×C4×C61—81no—
771C2×C4×C61—81no—
772C2×C4×C61—81no—
773C2×C4×C61—81no—
774C2×C4×C61C22×D411yescharacteristic
775C2×C4×C61C22×D411yescharacteristic
776C2×C4×C61C22×D411yescharacteristic
777C2×C4×C61C22×D411yescharacteristic
778C2×C4×C61C22×D411yescharacteristic
779C2×C4×C61C22×D411yescharacteristic
780C2×C4×C61C22×D411yescharacteristic
781C2×C4×C61C22×D411yescharacteristic
782C2×C4×C61C22×D411yescharacteristic
783C2×C4×C61C22×D411yescharacteristic
784C2×C4×C61C22×D411yescharacteristic
785C2×C4×C61C2511yescharacteristic
786C8×C61—21no—
787C8×C61—21no—
788C8×C61—21no—
789C8×C61—21no—
790C8×C61—21no—
791C8×C61—21no—
792C8×C61—21no—
793C8×C61—21no—
794#60986C6111yesmaximal, characteristic, direct product factor, Sylow
795C22×C61—21no—
796C22×C61—21no—
797C22×C61—21no—
798C22×C61—21no—
799C22×C61—21no—
800C22×C61—21no—
801C22×C61—21no—
802C22×C61—21no—
803C22×C61—21no—
804C22×C61—41no—
805C22×C61—41no—
806C22×C61—41no—
807C22×C61—41no—
808C22×C61—41no—
809C22×C61—41no—
810C22×C61—41no—
811C22×C61—41no—
812C22×C61—41no—
813C22×C61—41no—
814C22×C61—41no—
815C22×C61—41no—
816C22×C61—41no—
817C22×C61—41no—
818C22×C61—41no—
819C22×C61—82no—
820C22×C61—162no—
821C22×C61C23×D411yescharacteristic
822C4×C61—21no—
823C4×C61—21no—
824C4×C61—21no—
825C4×C61—21no—
826C4×C61—21no—
827C4×C61—21no—
828C4×C61—21no—
829C4×C61—21no—
830C4×C61—21no—
831C4×C61—21no—
832C4×C61—21no—
833C4×C61—41no—
834C4×C61—41no—
835C4×C61—41no—
836C4×C61—41no—
837C4×C61—41no—
838C4×C61—41no—
839C4×C61—41no—
840C4×C61—41no—
841C4×C61—41no—
842C4×C61—41no—
843C4×C61—41no—
844C4×C61#58511yescharacteristic
845C4×C61#58511yescharacteristic
846#3494C2×C6111yescharacteristic, complemented
847#3455C2×C6111yescharacteristic, complemented
848#3263C2×C6111yescharacteristic, complemented
849#3262C2×C6111yescharacteristic, complemented
850#3257C2×C6111yescharacteristic, complemented
851#3257C2×C6111yescharacteristic, complemented
852#3242C2×C6111yescharacteristic, complemented
853#3241C2×C6111yescharacteristic, complemented
854#3235C2×C6111yescharacteristic, complemented
855#3233C2×C6111yescharacteristic, complemented
856#3222C2×C6111yescharacteristic, complemented
857#3220C2×C6111yescharacteristic, complemented
858#3219C2×C6111yescharacteristic, complemented
859#3207C2×C6111yescharacteristic, complemented
860#3197C2×C6111yescharacteristic, complemented
861#3194C2×C6111yescharacteristic, complemented
862#3191C2×C6111yescharacteristic, complemented
863#3188C2×C6111yescharacteristic, complemented
864#3179C2×C6111yescharacteristic, complemented
865#3178C2×C6111yescharacteristic, complemented
866#3176C2×C6111yescharacteristic, complemented
867#3174C2×C6111yescharacteristic, complemented
868#3125C2×C6111yescharacteristic, complemented
869#3124C2×C6111yescharacteristic, complemented
870#3118C2×C6111yescharacteristic, complemented
871#3118C2×C6111yescharacteristic, complemented
872#3115C2×C6111yescharacteristic, complemented
873#3111C2×C6111yescharacteristic, complemented
874#3106C2×C6111yescharacteristic, complemented
875#3102C2×C6111yescharacteristic, complemented
876#2924C2×C6111yescharacteristic, complemented
877C2×C61—41no—
878C2×C61—41no—
879C2×C61—41no—
880C2×C61—81no—
881C2×C61—81no—
882C2×C61—81no—
883C2×C61—81no—
884C2×C61—81no—
885C2×C61#344911yescharacteristic
886C2×C61#358411yescharacteristic
887C2×C61#358511yescharacteristic
888#555—21no—
889#553—21no—
890#553—21no—
891#551—21no—
892#551—21no—
893#547—21no—
894#546—21no—
895#546—21no—
896#544C22×C6111yescharacteristic
897#542C22×C6111yescharacteristic
898#542C22×C6111yescharacteristic
899#542C22×C6111yescharacteristic
900#542C22×C6111yescharacteristic
901#542C22×C6111yescharacteristic, complemented
902#542C22×C6111yescharacteristic, complemented
903#541C22×C6111yescharacteristic
904#541C22×C6111yescharacteristic, complemented
905#540C22×C6111yescharacteristic
906#540C22×C6111yescharacteristic
907#540C22×C6111yescharacteristic
908#540C22×C6111yescharacteristic, complemented
909#539—21no—
910#539—21no—
911#538—21no—
912#538—21no—
913#535C22×C6111yescharacteristic
914#533C22×C6111yescharacteristic, complemented
915#532C22×C6111yescharacteristic
916#532C22×C6111yescharacteristic
917#532C22×C6111yescharacteristic, complemented
918#529—21no—
919#529—21no—
920#529—21no—
921#529—21no—
922#529C22×C6111yescharacteristic
923#529C22×C6111yescharacteristic
924#525C22×C6111yescharacteristic
925#525C22×C6111yescharacteristic
926#525C22×C6111yescharacteristic
927C2×#121C22×C6111yescharacteristic
928#520C22×C6111yescharacteristic
929#518C22×C6111yescharacteristic
930C4×#41C22×C6111yescharacteristic, complemented
931C4×#41C22×C6111yescharacteristic, complemented
932C2×#117C22×C6111yescharacteristic
933#501C22×C6111yescharacteristic, complemented
934#501C22×C6111yescharacteristic, complemented
935#499C22×C6111yescharacteristic, complemented
936#499C22×C6111yescharacteristic, complemented
937#497C22×C6111yescharacteristic, complemented
938#496C22×C6111yescharacteristic, complemented
939#493C22×C6111yescharacteristic, complemented
940#492C22×C6111yescharacteristic, complemented
941#491C22×C6111yescharacteristic, complemented
942#490C22×C6111yescharacteristic, complemented
943#490C22×C6111yescharacteristic, complemented
944#490C22×C6111yescharacteristic, complemented
945#488C22×C6111yescharacteristic, complemented
946#488C22×C6111yescharacteristic, complemented
947#487C22×C6111yescharacteristic, complemented
948#486C22×C6111yescharacteristic, complemented
949#485C22×C6111yescharacteristic
950#485C22×C6111yescharacteristic
951#485C22×C6111yescharacteristic, complemented
952#485C22×C6111yescharacteristic, complemented
953#484C22×C6111yescharacteristic
954#483C22×C6111yescharacteristic
955#482C22×C6111yescharacteristic
956#482C22×C6111yescharacteristic
957#482C22×C6111yescharacteristic
958#482C22×C6111yescharacteristic
959#482C22×C6111yescharacteristic
960#482C22×C6111yescharacteristic
961#482C22×C6111yescharacteristic, complemented
962#482C22×C6111yescharacteristic, complemented
963#481C22×C6111yescharacteristic
964#480C22×C6111yescharacteristic
965#479C22×C6111yescharacteristic, complemented
966#479C22×C6111yescharacteristic, complemented
967#478C22×C6111yescharacteristic, complemented
968#478C22×C6111yescharacteristic, complemented
969#477C22×C6111yescharacteristic, complemented
970#477C22×C6111yescharacteristic, complemented
971#476C22×C6111yescharacteristic, complemented
972#476C22×C6111yescharacteristic, complemented
973#476C22×C6111yescharacteristic, complemented
974#476C22×C6111yescharacteristic, complemented
975#475C22×C6111yescharacteristic, complemented
976#475C22×C6111yescharacteristic, complemented
977#474C22×C6111yescharacteristic, complemented
978#474C22×C6111yescharacteristic, complemented
979#474C22×C6111yescharacteristic, complemented
980#474C22×C6111yescharacteristic, complemented
981#470C22×C6111yescharacteristic, complemented
982#469C22×C6111yescharacteristic
983#469C22×C6111yescharacteristic
984#469C22×C6111yescharacteristic, complemented
985#468C22×C6111yescharacteristic
986#468C22×C6111yescharacteristic
987#468C22×C6111yescharacteristic, complemented
988#468C22×C6111yescharacteristic, complemented
989#467C22×C6111yescharacteristic, complemented
990#466C22×C6111yescharacteristic
991#466C22×C6111yescharacteristic
992#466C22×C6111yescharacteristic, complemented
993#465C22×C6111yescharacteristic
994#465C22×C6111yescharacteristic
995#465C22×C6111yescharacteristic, complemented
996#465C22×C6111yescharacteristic, complemented
997#464C22×C6111yescharacteristic, complemented
998#464C22×C6111yescharacteristic, complemented
999#464C22×C6111yescharacteristic, complemented
1000#464C22×C6111yescharacteristic, complemented
1001#463C22×C6111yescharacteristic, complemented
1002#463C22×C6111yescharacteristic, complemented
1003#463C22×C6111yescharacteristic, complemented
1004#463C22×C6111yescharacteristic, complemented
1005#463C22×C6111yescharacteristic, complemented
1006#463C22×C6111yescharacteristic, complemented
1007#463C22×C6111yescharacteristic, complemented
1008#463C22×C6111yescharacteristic, complemented
1009#460C22×C6111yescharacteristic, complemented
1010#460C22×C6111yescharacteristic, complemented
1011#459C22×C6111yescharacteristic, complemented
1012#459C22×C6111yescharacteristic, complemented
1013#452C22×C6111yescharacteristic
1014#452C22×C6111yescharacteristic
1015#452C22×C6111yescharacteristic, complemented
1016#452C22×C6111yescharacteristic, complemented
1017#450C22×C6111yescharacteristic
1018#450C22×C6111yescharacteristic
1019#449C22×C6111yescharacteristic
1020#449C22×C6111yescharacteristic
1021#449C22×C6111yescharacteristic
1022#449C22×C6111yescharacteristic
1023#449C22×C6111yescharacteristic
1024#449C22×C6111yescharacteristic
1025#449C22×C6111yescharacteristic, complemented
1026#449C22×C6111yescharacteristic, complemented
1027#447C22×C6111yescharacteristic
1028#447C22×C6111yescharacteristic
1029#442C22×C6111yescharacteristic, complemented
1030#442C22×C6111yescharacteristic, complemented
1031#442C22×C6111yescharacteristic, complemented
1032#441C22×C6111yescharacteristic, complemented
1033#440C22×C6111yescharacteristic, complemented
1034#440C22×C6111yescharacteristic, complemented
1035#440C22×C6111yescharacteristic, complemented
1036#440C22×C6111yescharacteristic, complemented
1037C4×Q16C22×C6111yescharacteristic, complemented
1038C4×SD16C22×C6111yescharacteristic, complemented
1039C4×SD16C22×C6111yescharacteristic, complemented
1040C4×SD16C22×C6111yescharacteristic, complemented
1041C4×SD16C22×C6111yescharacteristic, complemented
1042C4×D8C22×C6111yescharacteristic, complemented
1043C4×D8C22×C6111yescharacteristic, complemented
1044C4×D8C22×C6111yescharacteristic, complemented
1045#433C22×C6111yescharacteristic
1046#433C22×C6111yescharacteristic
1047#433C22×C6111yescharacteristic
1048#433C22×C6111yescharacteristic
1049#432C22×C6111yescharacteristic, complemented
1050#432C22×C6111yescharacteristic, complemented
1051#431C22×C6111yescharacteristic, complemented
1052#431C22×C6111yescharacteristic, complemented
1053#424C22×C6111yescharacteristic, complemented
1054#424C22×C6111yescharacteristic, complemented
1055#407C22×C6111yescharacteristic
1056C2×C22⋊C8C22×C6111yescharacteristic
1057#405C22×C6111yescharacteristic, complemented
1058#405C22×C6111yescharacteristic, complemented
1059C61#6098611yescharacteristic, direct product factor, Sylow
1060C2×#41—21no—
1061C2×#41—21no—
1062C2×#41C23×C6111yescharacteristic
1063C2×#41C23×C6111yescharacteristic
1064C2×#41C23×C6111yescharacteristic
1065C22×D4—21no—
1066C22×D4C23×C6111yescharacteristic
1067C23×C4C23×C6111yescharacteristic
1068C2×Q16C23×C6111yescharacteristic
1069C2×Q16C23×C6111yescharacteristic
1070C2×SD16C23×C6111yescharacteristic
1071C2×SD16C23×C6111yescharacteristic
1072C2×SD16C23×C6111yescharacteristic
1073C2×SD16C23×C6111yescharacteristic
1074C2×SD16C23×C6111yescharacteristic
1075C2×SD16C23×C6111yescharacteristic
1076C2×SD16C23×C6111yescharacteristic
1077C2×SD16C23×C6111yescharacteristic
1078C2×D8C23×C6111yescharacteristic
1079C2×D8C23×C6111yescharacteristic
1080C2×D8C23×C6111yescharacteristic
1081C2×D8C23×C6111yescharacteristic
1082C2×D8C23×C6111yescharacteristic
1083C2×D8C23×C6111yescharacteristic
1084C2×M16C23×C6111yescharacteristic
1085C2×M16C23×C6111yescharacteristic
1086C22×C8C23×C6111yescharacteristic
1087C22×C8C23×C6111yescharacteristic
1088C4⋊Q8—21no—
1089C4⋊Q8C23×C6111yescharacteristic
1090C4⋊Q8C23×C6111yescharacteristic
1091C4⋊Q8C23×C6111yescharacteristic
1092C4⋊Q8C23×C6111yescharacteristic
1093C4⋊Q8C23×C6111yescharacteristic
1094#127C23×C6111yescharacteristic
1095#127C23×C6111yescharacteristic
1096#127C23×C6111yescharacteristic
1097#126—21no—
1098#126—21no—
1099#126—21no—
1100#126—21no—
1101#126—21no—
1102#126—21no—
1103#126—21no—
1104#126—21no—
1105#126—21no—
1106#126—21no—
1107#126—21no—
1108#126—21no—
1109#125—21no—
1110#125—21no—
1111#125—21no—
1112#125—21no—
1113#125—21no—
1114#125C23×C6111yescharacteristic
1115#125C23×C6111yescharacteristic
1116#125C23×C6111yescharacteristic
1117#125C23×C6111yescharacteristic
1118#124—21no—
1119#124—21no—
1120#124—21no—
1121#124—21no—
1122#124—21no—
1123#124—21no—
1124#124—21no—
1125#124—21no—
1126#124C23×C6111yescharacteristic
1127#124C23×C6111yescharacteristic
1128#124C23×C6111yescharacteristic
1129#124C23×C6111yescharacteristic
1130#123—21no—
1131#123—21no—
1132#123—21no—
1133#123—21no—
1134#123—21no—
1135#123—21no—
1136#123—21no—
1137#123—21no—
1138#123—21no—
1139#123—21no—
1140#123—21no—
1141#123—21no—
1142#123—21no—
1143#123—21no—
1144#123—21no—
1145#123—21no—
1146#123—21no—
1147#123—21no—
1148#123—21no—
1149C22⋊Q8—21no—
1150C22⋊Q8—21no—
1151C22⋊Q8—21no—
1152C22⋊Q8—21no—
1153C22⋊Q8—21no—
1154C22⋊Q8—21no—
1155C22⋊Q8—21no—
1156C22⋊Q8—21no—
1157C22⋊Q8—21no—
1158C22⋊Q8—21no—
1159C22⋊Q8C23×C6111yescharacteristic
1160C22⋊Q8C23×C6111yescharacteristic
1161C22⋊Q8C23×C6111yescharacteristic
1162C22⋊Q8C23×C6111yescharacteristic
1163C22⋊Q8C23×C6111yescharacteristic
1164C22⋊Q8C23×C6111yescharacteristic
1165#121—21no—
1166#121—21no—
1167#121—21no—
1168#121—21no—
1169#121—21no—
1170#121—21no—
1171#121—21no—
1172#121—21no—
1173#121—21no—
1174#121—21no—
1175#121—21no—
1176#121—21no—
1177#121—21no—
1178#121—21no—
1179#121—21no—
1180#121—21no—
1181#121C23×C6111yescharacteristic
1182#121C23×C6111yescharacteristic
1183#121C23×C6111yescharacteristic
1184#121C23×C6111yescharacteristic
1185#121C23×C6111yescharacteristic
1186#121C23×C6111yescharacteristic
1187#121C23×C6111yescharacteristic
1188#121C23×C6111yescharacteristic
1189#121C23×C6111yescharacteristic
1190#121C23×C6111yescharacteristic
1191#120—21no—
1192#120—21no—
1193#120—21no—
1194#120—21no—
1195#120—21no—
1196C4×Q8—21no—
1197C4×Q8—21no—
1198C4×Q8C23×C6111yescharacteristic
1199C4×Q8C23×C6111yescharacteristic
1200C4×Q8C23×C6111yescharacteristic
1201C4×Q8C23×C6111yescharacteristic
1202C4×Q8C23×C6111yescharacteristic
1203C4×Q8C23×C6111yescharacteristic
1204C4×D4—21no—
1205C4×D4—21no—
1206C4×D4—21no—
1207C4×D4—21no—
1208C4×D4—21no—
1209C4×D4—21no—
1210C4×D4—21no—
1211C4×D4—21no—
1212C4×D4—21no—
1213C4×D4—21no—
1214C4×D4—21no—
1215C4×D4—21no—
1216C4×D4—21no—
1217C4×D4—21no—
1218C4×D4—21no—
1219C4×D4—21no—
1220C4×D4—21no—
1221C4×D4—21no—
1222C4×D4—21no—
1223C4×D4—21no—
1224C4×D4C23×C6111yescharacteristic
1225C4×D4C23×C6111yescharacteristic
1226C4×D4C23×C6111yescharacteristic
1227C4×D4C23×C6111yescharacteristic
1228C4×D4C23×C6111yescharacteristic
1229C4×D4C23×C6111yescharacteristic
1230C4×D4C23×C6111yescharacteristic
1231C4×D4C23×C6111yescharacteristic
1232C4×D4C23×C6111yescharacteristic
1233C4×D4C23×C6111yescharacteristic
1234#117—21no—
1235#117—21no—
1236#117—21no—
1237#117—21no—
1238#117—21no—
1239#117D4×C6111yescharacteristic
1240#117D4×C6111yescharacteristic
1241#117D4×C6111yescharacteristic
1242#117D4×C6111yescharacteristic
1243#117C23×C6111yescharacteristic
1244#117C23×C6111yescharacteristic
1245#117C23×C6111yescharacteristic
1246#117C23×C6111yescharacteristic
1247#117C23×C6111yescharacteristic
1248#117C23×C6111yescharacteristic
1249#117C23×C6111yescharacteristic
1250C2×C4⋊C4—21no—
1251C2×C4⋊C4D4×C6111yescharacteristic
1252C2×C4⋊C4D4×C6111yescharacteristic
1253C2×C4⋊C4C23×C6111yescharacteristic
1254C2×C22⋊C4—21no—
1255C2×C22⋊C4—21no—
1256C2×C22⋊C4—21no—
1257C2×C22⋊C4D4×C6111yescharacteristic
1258C2×C22⋊C4D4×C6111yescharacteristic
1259C2×C42—21no—
1260C2×C42—21no—
1261C2×C42C23×C6111yescharacteristic
1262C2×C42C23×C6111yescharacteristic
1263#107C23×C6111yescharacteristic
1264#107C23×C6111yescharacteristic
1265#107C23×C6111yescharacteristic
1266#107C23×C6111yescharacteristic
1267#107C23×C6111yescharacteristic
1268#107C23×C6111yescharacteristic
1269#107C23×C6111yescharacteristic
1270#107C23×C6111yescharacteristic
1271#106C23×C6111yescharacteristic
1272#106C23×C6111yescharacteristic
1273#106C23×C6111yescharacteristic
1274#106C23×C6111yescharacteristic
1275#106C23×C6111yescharacteristic
1276#106C23×C6111yescharacteristic
1277#106C23×C6111yescharacteristic
1278#106C23×C6111yescharacteristic
1279C4⋊C8C23×C6111yescharacteristic
1280C4⋊C8C23×C6111yescharacteristic
1281C4⋊C8C23×C6111yescharacteristic
1282C4⋊C8C23×C6111yescharacteristic
1283C4⋊C8C23×C6111yescharacteristic
1284C4⋊C8C23×C6111yescharacteristic
1285C4⋊C8C23×C6111yescharacteristic
1286C4⋊C8C23×C6111yescharacteristic
1287#103C23×C6111yescharacteristic
1288#103C23×C6111yescharacteristic
1289#103C23×C6111yescharacteristic
1290#103C23×C6111yescharacteristic
1291#103C23×C6111yescharacteristic
1292#103C23×C6111yescharacteristic
1293#103C23×C6111yescharacteristic
1294#103C23×C6111yescharacteristic
1295#103C23×C6111yescharacteristic
1296#103C23×C6111yescharacteristic
1297#103C23×C6111yescharacteristic
1298#103C23×C6111yescharacteristic
1299#102C23×C6111yescharacteristic
1300#102C23×C6111yescharacteristic
1301#102C23×C6111yescharacteristic
1302#102C23×C6111yescharacteristic
1303#102C23×C6111yescharacteristic
1304#102C23×C6111yescharacteristic
1305#102C23×C6111yescharacteristic
1306#102C23×C6111yescharacteristic
1307#102C23×C6111yescharacteristic
1308#102C23×C6111yescharacteristic
1309#102C23×C6111yescharacteristic
1310#102C23×C6111yescharacteristic
1311#102C23×C6111yescharacteristic
1312#102C23×C6111yescharacteristic
1313#102C23×C6111yescharacteristic
1314#102C23×C6111yescharacteristic
1315#102C23×C6111yescharacteristic
1316#102C23×C6111yescharacteristic
1317#102C23×C6111yescharacteristic
1318#102C23×C6111yescharacteristic
1319C22⋊C8C23×C6111yescharacteristic
1320C22⋊C8C23×C6111yescharacteristic
1321C22⋊C8C23×C6111yescharacteristic
1322C22⋊C8C23×C6111yescharacteristic
1323C22⋊C8C23×C6111yescharacteristic
1324C22⋊C8C23×C6111yescharacteristic
1325C22⋊C8C23×C6111yescharacteristic
1326C22⋊C8C23×C6111yescharacteristic
1327#97C23×C6111yescharacteristic
1328#97C23×C6111yescharacteristic
1329#97C23×C6111yescharacteristic
1330#97C23×C6111yescharacteristic
1331C4×C8C23×C6111yescharacteristic
1332C4×C8C23×C6111yescharacteristic
1333C4×C8C23×C6111yescharacteristic
1334C4×C8C23×C6111yescharacteristic
1335C24—21no—
1336C24C2×D4×C6111yescharacteristic
1337#41—41no—
1338#41—41no—
1339#41—41no—
1340#41—41no—
1341#41—41no—
1342#41—41no—
1343#41—82no—
1344#41—82no—
1345C2×Q8—21no—
1346C2×Q8—21no—
1347C2×Q8—21no—
1348C2×Q8—21no—
1349C2×Q8C24×C6111yescharacteristic
1350C2×Q8C24×C6111yescharacteristic
1351C2×Q8C24×C6111yescharacteristic
1352C2×D4—21no—
1353C2×D4—21no—
1354C2×D4—21no—
1355C2×D4—21no—
1356C2×D4—21no—
1357C2×D4—21no—
1358C2×D4—21no—
1359C2×D4—21no—
1360C2×D4—21no—
1361C2×D4—21no—
1362C2×D4—21no—
1363C2×D4—21no—
1364C2×D4—21no—
1365C2×D4—21no—
1366C2×D4—21no—
1367C2×D4—21no—
1368C2×D4—21no—
1369C2×D4—21no—
1370C2×D4—21no—
1371C2×D4—21no—
1372C2×D4—41no—
1373C2×D4—41no—
1374C2×D4—82no—
1375C2×D4C24×C6111yescharacteristic
1376C2×D4C24×C6111yescharacteristic
1377C2×D4C24×C6111yescharacteristic
1378C2×D4C24×C6111yescharacteristic
1379C2×D4C24×C6111yescharacteristic
1380C22×C4—21no—
1381C22×C4—21no—
1382C22×C4—21no—
1383C22×C4—21no—
1384C22×C4—21no—
1385C22×C4—21no—
1386C22×C4—21no—
1387C22×C4—21no—
1388C22×C4—21no—
1389C22×C4—21no—
1390C22×C4—21no—
1391C22×C4—21no—
1392C22×C4—21no—
1393C22×C4—21no—
1394C22×C4—41no—
1395C22×C4—41no—
1396C22×C4C2×D4×C6111yescharacteristic
1397C22×C4C2×D4×C6111yescharacteristic
1398C22×C4C2×D4×C6111yescharacteristic
1399C22×C4C2×D4×C6111yescharacteristic
1400C22×C4C2×D4×C6111yescharacteristic
1401C22×C4C2×D4×C6111yescharacteristic
1402C22×C4C2×D4×C6111yescharacteristic
1403C22×C4C24×C6111yescharacteristic
1404C22×C4C24×C6111yescharacteristic
1405C22×C4C24×C6111yescharacteristic
1406Q16—41no—
1407Q16—41no—
1408SD16—41no—
1409SD16—41no—
1410SD16—41no—
1411SD16—41no—
1412SD16—41no—
1413SD16—41no—
1414SD16—41no—
1415SD16—41no—
1416D8—41no—
1417D8—41no—
1418D8—41no—
1419D8—41no—
1420D8—41no—
1421D8—41no—
1422M16—41no—
1423M16—41no—
1424C2×C8—41no—
1425C2×C8—41no—
1426C2×C8C24×C6111yescharacteristic
1427C2×C8C24×C6111yescharacteristic
1428C2×C8C24×C6111yescharacteristic
1429C2×C8C24×C6111yescharacteristic
1430C2×C8C24×C6111yescharacteristic
1431C2×C8C24×C6111yescharacteristic
1432C2×C8C24×C6111yescharacteristic
1433C2×C8C24×C6111yescharacteristic
1434C4⋊C4—21no—
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—21no—
1441C4⋊C4—21no—
1442C4⋊C4—21no—
1443C4⋊C4—21no—
1444C4⋊C4—21no—
1445C4⋊C4—21no—
1446C4⋊C4—21no—
1447C4⋊C4—21no—
1448C4⋊C4—21no—
1449C4⋊C4—21no—
1450C4⋊C4—21no—
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—21no—
1454C4⋊C4—21no—
1455C4⋊C4—21no—
1456C4⋊C4—21no—
1457C4⋊C4—21no—
1458C4⋊C4—21no—
1459C4⋊C4—21no—
1460C4⋊C4—21no—
1461C4⋊C4C2×D4×C6111yescharacteristic
1462C4⋊C4C2×D4×C6111yescharacteristic
1463C4⋊C4C2×D4×C6111yescharacteristic
1464C4⋊C4C2×D4×C6111yescharacteristic
1465C4⋊C4C2×D4×C6111yescharacteristic
1466C4⋊C4C2×D4×C6111yescharacteristic
1467C4⋊C4C2×D4×C6111yescharacteristic
1468C4⋊C4C2×D4×C6111yescharacteristic
1469C4⋊C4C24×C6111yescharacteristic
1470C4⋊C4C24×C6111yescharacteristic
1471C4⋊C4C24×C6111yescharacteristic
1472C4⋊C4C24×C6111yescharacteristic
1473C4⋊C4C24×C6111yescharacteristic
1474C4⋊C4C24×C6111yescharacteristic
1475C4⋊C4C24×C6111yescharacteristic
1476C4⋊C4C24×C6111yescharacteristic
1477C22⋊C4—21no—
1478C22⋊C4—21no—
1479C22⋊C4—21no—
1480C22⋊C4—21no—
1481C22⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—21no—
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—21no—
1489C22⋊C4—21no—
1490C22⋊C4—21no—
1491C22⋊C4—21no—
1492C22⋊C4—21no—
1493C22⋊C4—21no—
1494C22⋊C4—21no—
1495C22⋊C4—21no—
1496C22⋊C4—21no—
1497C22⋊C4—21no—
1498C22⋊C4—21no—
1499C22⋊C4—21no—
1500C22⋊C4—21no—
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4—21no—
1507C22⋊C4—21no—
1508C22⋊C4—21no—
1509C22⋊C4—21no—
1510C22⋊C4—21no—
1511C22⋊C4—21no—
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4C2×D4×C6111yescharacteristic
1515C22⋊C4C2×D4×C6111yescharacteristic
1516C22⋊C4C2×D4×C6111yescharacteristic
1517C22⋊C4C2×D4×C6111yescharacteristic
1518C22⋊C4C2×D4×C6111yescharacteristic
1519C22⋊C4C2×D4×C6111yescharacteristic
1520C22⋊C4C2×D4×C6111yescharacteristic
1521C22⋊C4C2×D4×C6111yescharacteristic
1522C42—21no—
1523C42—21no—
1524C42—21no—
1525C42—21no—
1526C42—21no—
1527C42—21no—
1528C42—21no—
1529C42—21no—
1530C42—21no—
1531C42C2×D4×C6111yescharacteristic
1532C42C2×D4×C6111yescharacteristic
1533C42C2×D4×C6111yescharacteristic
1534C42C2×D4×C6111yescharacteristic
1535C42C24×C6111yescharacteristic
1536C42C24×C6111yescharacteristic
1537C42C24×C6111yescharacteristic
1538C42C24×C6111yescharacteristic
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—41no—
1545C23—41no—
1546C23—41no—
1547C23—42no—
1548C23—81no—
1549C23—81no—
1550C23C22×D4×C6111yescharacteristic
1551C23C22×D4×C6111yescharacteristic
1552C23C22×D4×C6111yescharacteristic
1553Q8—21no—
1554Q8—21no—
1555Q8—21no—
1556Q8—21no—
1557Q8—21no—
1558Q8—21no—
1559Q8—81no—
1560Q8—81no—
1561Q8—81no—
1562Q8—81no—
1563D4—21no—
1564D4—21no—
1565D4—21no—
1566D4—21no—
1567D4—21no—
1568D4—21no—
1569D4—21no—
1570D4—21no—
1571D4—21no—
1572D4—21no—
1573D4—42no—
1574D4—42no—
1575D4—42no—
1576D4—42no—
1577D4—42no—
1578D4—42no—
1579D4—42no—
1580D4—81no—
1581D4—81no—
1582D4—81no—
1583D4—81no—
1584D4—81no—
1585D4—81no—
1586D4—81no—
1587D4—81no—
1588D4—81no—
1589D4—81no—
1590D4—81no—
1591D4—81no—
1592D4—81no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—41no—
1611C2×C4—41no—
1612C2×C4—41no—
1613C2×C4—41no—
1614C2×C4—41no—
1615C2×C4—41no—
1616C2×C4—41no—
1617C2×C4—42no—
1618C2×C4—42no—
1619C2×C4—42no—
1620C2×C4—81no—
1621C2×C4—81no—
1622C2×C4—81no—
1623C2×C4—81no—
1624C2×C4—81no—
1625C2×C4—81no—
1626C2×C4—81no—
1627C2×C4—81no—
1628C2×C4—81no—
1629C2×C4—81no—
1630C2×C4—81no—
1631C2×C4C22×D4×C6111yescharacteristic
1632C2×C4C22×D4×C6111yescharacteristic
1633C2×C4C22×D4×C6111yescharacteristic
1634C2×C4C22×D4×C6111yescharacteristic
1635C2×C4C22×D4×C6111yescharacteristic
1636C2×C4C22×D4×C6111yescharacteristic
1637C2×C4C22×D4×C6111yescharacteristic
1638C2×C4C22×D4×C6111yescharacteristic
1639C2×C4C22×D4×C6111yescharacteristic
1640C2×C4C22×D4×C6111yescharacteristic
1641C2×C4C22×D4×C6111yescharacteristic
1642C2×C4C25×C6111yescharacteristic
1643C8—21no—
1644C8—21no—
1645C8—21no—
1646C8—21no—
1647C8—21no—
1648C8—21no—
1649C8—21no—
1650C8—21no—
1651C22—21no—
1652C22—21no—
1653C22—21no—
1654C22—21no—
1655C22—21no—
1656C22—21no—
1657C22—21no—
1658C22—21no—
1659C22—21no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—41no—
1665C22—41no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—82no—
1676C22—162no—
1677C22C23×D4×C6111yescharacteristic
1678C4—21no—
1679C4—21no—
1680C4—21no—
1681C4—21no—
1682C4—21no—
1683C4—21no—
1684C4—21no—
1685C4—21no—
1686C4—21no—
1687C4—21no—
1688C4—21no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—41no—
1698C4—41no—
1699C4—41no—
1700C4C61×#58511yescharacteristic
1701C4C61×#58511yescharacteristic
1702C2—41no—
1703C2—41no—
1704C2—41no—
1705C2—81no—
1706C2—81no—
1707C2—81no—
1708C2—81no—
1709C2—81no—
1710C2C61×#344911yescharacteristic
1711C2C61×#358411yescharacteristic
1712C2C61×#358511yescharacteristic
subgroupG/H
center, socleC22×C61C23×D4
commutator, Frattini, cosocleC2×C4C25×C61
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C61 ◁ C2×#117×C61 ◁ G

Complements

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

NH ≅ G/Ntype
1. C61×#3494C2semidirect
2. C61×#3455C2semidirect
3. C61×#3263C2semidirect
4. C61×#3262C2semidirect
5. C61×#3257C2semidirect
6. C61×#3257C2semidirect
7. C61×#3242C2semidirect
8. C61×#3241C2semidirect
9. C61×#3235C2semidirect
10. C61×#3233C2semidirect
11. C61×#3222C2semidirect
12. C61×#3220C2semidirect
13. C61×#3219C2semidirect
14. C61×#3207C2semidirect
15. C61×#3197C2semidirect
16. C61×#3194C2semidirect
17. C61×#3191C2semidirect
18. C61×#3188C2semidirect
19. C61×#3179C2semidirect
20. C61×#3178C2semidirect
21. C61×#3176C2semidirect
22. C61×#3174C2semidirect
23. C61×#3125C2semidirect
24. C61×#3124C2semidirect
25. C61×#3118C2semidirect
26. C61×#3118C2semidirect
27. C61×#3115C2semidirect
28. C61×#3111C2semidirect
29. C61×#3106C2semidirect
30. C61×#3102C2semidirect
31. C61×#2924C2semidirect
45. C61×#542C22semidirect
46. C61×#542C22semidirect
48. C61×#541C22semidirect
52. C61×#540C22semidirect
58. C61×#533C22semidirect
61. C61×#532C22semidirect
74. C4×#41×C61C22semidirect
75. C4×#41×C61C22semidirect
77. C61×#501C22semidirect
78. C61×#501C22semidirect
79. C61×#499C22semidirect
80. C61×#499C22semidirect
81. C61×#497C22semidirect
82. C61×#496C22semidirect
83. C61×#493C22semidirect
84. C61×#492C22semidirect
85. C61×#491C22semidirect
86. C61×#490C22semidirect
87. C61×#490C22semidirect
88. C61×#490C22semidirect
89. C61×#488C22semidirect
90. C61×#488C22semidirect
91. C61×#487C22semidirect
92. C61×#486C22semidirect
95. C61×#485C22semidirect
96. C61×#485C22semidirect
105. C61×#482C22semidirect
106. C61×#482C22semidirect
109. C61×#479C22semidirect
110. C61×#479C22semidirect
111. C61×#478C22semidirect
112. C61×#478C22semidirect
113. C61×#477C22semidirect
114. C61×#477C22semidirect
115. C61×#476C22semidirect
116. C61×#476C22semidirect
117. C61×#476C22semidirect
118. C61×#476C22semidirect
119. C61×#475C22semidirect
120. C61×#475C22semidirect
121. C61×#474C22semidirect
122. C61×#474C22semidirect
123. C61×#474C22semidirect
124. C61×#474C22semidirect
125. C61×#470C22semidirect
128. C61×#469C22semidirect
131. C61×#468C22semidirect
132. C61×#468C22semidirect
133. C61×#467C22semidirect
136. C61×#466C22semidirect
139. C61×#465C22semidirect
140. C61×#465C22semidirect
141. C61×#464C22semidirect
142. C61×#464C22semidirect
143. C61×#464C22semidirect
144. C61×#464C22semidirect
145. C61×#463C22semidirect
146. C61×#463C22semidirect
147. C61×#463C22semidirect
148. C61×#463C22semidirect
149. C61×#463C22semidirect
150. C61×#463C22semidirect
151. C61×#463C22semidirect
152. C61×#463C22semidirect
153. C61×#460C22semidirect
154. C61×#460C22semidirect
155. C61×#459C22semidirect
156. C61×#459C22semidirect
159. C61×#452C22semidirect
160. C61×#452C22semidirect
169. C61×#449C22semidirect
170. C61×#449C22semidirect
173. C61×#442C22semidirect
174. C61×#442C22semidirect
175. C61×#442C22semidirect
176. C61×#441C22semidirect
177. C61×#440C22semidirect
178. C61×#440C22semidirect
179. C61×#440C22semidirect
180. C61×#440C22semidirect
181. C4×Q16×C61C22semidirect
182. C4×SD16×C61C22semidirect
183. C4×SD16×C61C22semidirect
184. C4×SD16×C61C22semidirect
185. C4×SD16×C61C22semidirect
186. C4×D8×C61C22semidirect
187. C4×D8×C61C22semidirect
188. C4×D8×C61C22semidirect
193. C61×#432C22semidirect
194. C61×#432C22semidirect
195. C61×#431C22semidirect
196. C61×#431C22semidirect
197. C61×#424C22semidirect
198. C61×#424C22semidirect
201. C61×#405C22semidirect
202. C61×#405C22semidirect
794. #60986C61direct (N × H)
846. #3494C2×C61semidirect
847. #3455C2×C61semidirect
848. #3263C2×C61semidirect
849. #3262C2×C61semidirect
850. #3257C2×C61semidirect
851. #3257C2×C61semidirect
852. #3242C2×C61semidirect
853. #3241C2×C61semidirect
854. #3235C2×C61semidirect
855. #3233C2×C61semidirect
856. #3222C2×C61semidirect
857. #3220C2×C61semidirect
858. #3219C2×C61semidirect
859. #3207C2×C61semidirect
860. #3197C2×C61semidirect
861. #3194C2×C61semidirect
862. #3191C2×C61semidirect
863. #3188C2×C61semidirect
864. #3179C2×C61semidirect
865. #3178C2×C61semidirect
866. #3176C2×C61semidirect
867. #3174C2×C61semidirect
868. #3125C2×C61semidirect
869. #3124C2×C61semidirect
870. #3118C2×C61semidirect
871. #3118C2×C61semidirect
872. #3115C2×C61semidirect
873. #3111C2×C61semidirect
874. #3106C2×C61semidirect
875. #3102C2×C61semidirect
876. #2924C2×C61semidirect
901. #542C22×C61semidirect
902. #542C22×C61semidirect
904. #541C22×C61semidirect
908. #540C22×C61semidirect
914. #533C22×C61semidirect
917. #532C22×C61semidirect
930. C4×#41C22×C61semidirect
931. C4×#41C22×C61semidirect
933. #501C22×C61semidirect
934. #501C22×C61semidirect
935. #499C22×C61semidirect
936. #499C22×C61semidirect
937. #497C22×C61semidirect
938. #496C22×C61semidirect
939. #493C22×C61semidirect
940. #492C22×C61semidirect
941. #491C22×C61semidirect
942. #490C22×C61semidirect
943. #490C22×C61semidirect
944. #490C22×C61semidirect
945. #488C22×C61semidirect
946. #488C22×C61semidirect
947. #487C22×C61semidirect
948. #486C22×C61semidirect
951. #485C22×C61semidirect
952. #485C22×C61semidirect
961. #482C22×C61semidirect
962. #482C22×C61semidirect
965. #479C22×C61semidirect
966. #479C22×C61semidirect
967. #478C22×C61semidirect
968. #478C22×C61semidirect
969. #477C22×C61semidirect
970. #477C22×C61semidirect
971. #476C22×C61semidirect
972. #476C22×C61semidirect
973. #476C22×C61semidirect
974. #476C22×C61semidirect
975. #475C22×C61semidirect
976. #475C22×C61semidirect
977. #474C22×C61semidirect
978. #474C22×C61semidirect
979. #474C22×C61semidirect
980. #474C22×C61semidirect
981. #470C22×C61semidirect
984. #469C22×C61semidirect
987. #468C22×C61semidirect
988. #468C22×C61semidirect
989. #467C22×C61semidirect
992. #466C22×C61semidirect
995. #465C22×C61semidirect
996. #465C22×C61semidirect
997. #464C22×C61semidirect
998. #464C22×C61semidirect
999. #464C22×C61semidirect
1000. #464C22×C61semidirect
1001. #463C22×C61semidirect
1002. #463C22×C61semidirect
1003. #463C22×C61semidirect
1004. #463C22×C61semidirect
1005. #463C22×C61semidirect
1006. #463C22×C61semidirect
1007. #463C22×C61semidirect
1008. #463C22×C61semidirect
1009. #460C22×C61semidirect
1010. #460C22×C61semidirect
1011. #459C22×C61semidirect
1012. #459C22×C61semidirect
1015. #452C22×C61semidirect
1016. #452C22×C61semidirect
1025. #449C22×C61semidirect
1026. #449C22×C61semidirect
1029. #442C22×C61semidirect
1030. #442C22×C61semidirect
1031. #442C22×C61semidirect
1032. #441C22×C61semidirect
1033. #440C22×C61semidirect
1034. #440C22×C61semidirect
1035. #440C22×C61semidirect
1036. #440C22×C61semidirect
1037. C4×Q16C22×C61semidirect
1038. C4×SD16C22×C61semidirect
1039. C4×SD16C22×C61semidirect
1040. C4×SD16C22×C61semidirect
1041. C4×SD16C22×C61semidirect
1042. C4×D8C22×C61semidirect
1043. C4×D8C22×C61semidirect
1044. C4×D8C22×C61semidirect
1049. #432C22×C61semidirect
1050. #432C22×C61semidirect
1051. #431C22×C61semidirect
1052. #431C22×C61semidirect
1053. #424C22×C61semidirect
1054. #424C22×C61semidirect
1057. #405C22×C61semidirect
1058. #405C22×C61semidirect
1059. C61#60986direct (N × H)

Maximal subgroups

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

subgroupindex
C61×#34942
C61×#34552
C61×#32632
C61×#32622
C61×#32572
C61×#32422
C61×#32412
C61×#32352
C61×#32332
C61×#32222
C61×#32202
C61×#32192
C61×#32072
C61×#31972
C61×#31942
C61×#31912
C61×#31882
C61×#31792
C61×#31782
C61×#31762
C61×#31742
C61×#31252
C61×#31242
C61×#31182
C61×#31152
C61×#31112
C61×#31062
C61×#31022
C61×#29242
#6098661