Finite Group Databasebeta

← C61×#60998 #29564431

Subgroups — C61×#60998 #29564431

Order 15616.

1750 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×#3510C211yesmaximal, characteristic, complemented
2C61×#3460C211yesmaximal, characteristic, complemented
3C61×#3256C211yesmaximal, characteristic, complemented
4C61×#3251C211yesmaximal, characteristic, complemented
5C61×#3250C211yesmaximal, characteristic, complemented
6C61×#3247C211yesmaximal, characteristic, complemented
7C61×#3244C211yesmaximal, characteristic, complemented
8C61×#3243C211yesmaximal, characteristic, complemented
9C61×#3240C211yesmaximal, characteristic, complemented
10C61×#3228C211yesmaximal, characteristic, complemented
11C61×#3224C211yesmaximal, characteristic, complemented
12C61×#3224C211yesmaximal, characteristic, complemented
13C61×#3213C211yesmaximal, characteristic, complemented
14C61×#3211C211yesmaximal, characteristic, complemented
15C61×#3201C211yesmaximal, characteristic, complemented
16C61×#3200C211yesmaximal, characteristic, complemented
17C61×#3199C211yesmaximal, characteristic, complemented
18C61×#3198C211yesmaximal, characteristic, complemented
19C61×#3179C211yesmaximal, characteristic, complemented
20C61×#3179C211yesmaximal, characteristic, complemented
21C61×#3175C211yesmaximal, characteristic, complemented
22C61×#3173C211yesmaximal, characteristic, complemented
23C61×#3126C211yesmaximal, characteristic, complemented
24C61×#3122C211yesmaximal, characteristic, complemented
25C61×#3121C211yesmaximal, characteristic, complemented
26C61×#3118C211yesmaximal, characteristic, complemented
27C61×#3114C211yesmaximal, characteristic, complemented
28C61×#3111C211yesmaximal, characteristic, complemented
29C61×#3105C211yesmaximal, characteristic, complemented
30C61×#3102C211yesmaximal, characteristic, complemented
31C61×#2925C211yesmaximal, characteristic, complemented
32C61×#559—21no—
33C61×#559—21no—
34C61×#556—21no—
35C61×#556—21no—
36C61×#551—21no—
37C61×#551—21no—
38C61×#551—21no—
39C61×#551—21no—
40C61×#544C2211yescharacteristic, complemented
41C61×#542—21no—
42C61×#542C2211yescharacteristic
43C61×#542C2211yescharacteristic
44C61×#542C2211yescharacteristic
45C61×#542C2211yescharacteristic, complemented
46C61×#542C2211yescharacteristic, complemented
47C61×#542C2211yescharacteristic, complemented
48C61×#540—21no—
49C61×#540C2211yescharacteristic
50C61×#540C2211yescharacteristic, complemented
51C61×#538—21no—
52C61×#538—21no—
53C61×#537C2211yescharacteristic
54C61×#536C2211yescharacteristic
55C61×#535C2211yescharacteristic
56C61×#535C2211yescharacteristic
57C61×#535C2211yescharacteristic, complemented
58C61×#533C2211yescharacteristic, complemented
59C61×#532—21no—
60C61×#532C2211yescharacteristic
61C61×#532C2211yescharacteristic, complemented
62C61×#529—21no—
63C61×#529C2211yescharacteristic
64C61×#529C2211yescharacteristic
65C61×#529C2211yescharacteristic
66C61×#529C2211yescharacteristic, complemented
67C61×#529C2211yescharacteristic, complemented
68C61×#529C2211yescharacteristic, complemented
69C2×#124×C61C2211yescharacteristic, complemented
70C61×#525—21no—
71C61×#525—21no—
72C61×#519C2211yescharacteristic, complemented
73C61×#518C2211yescharacteristic, complemented
74C4×#41×C61C2211yescharacteristic
75C4×#41×C61C2211yescharacteristic, complemented
76C2×C4×D4×C61C2211yescharacteristic, complemented
77C61×#501C2211yescharacteristic, complemented
78C61×#501C2211yescharacteristic, complemented
79C61×#500C2211yescharacteristic, complemented
80C61×#498C2211yescharacteristic, complemented
81C61×#496C2211yescharacteristic
82C61×#496C2211yescharacteristic
83C61×#495C2211yescharacteristic
84C61×#495C2211yescharacteristic
85C61×#489C2211yescharacteristic, complemented
86C61×#489C2211yescharacteristic, complemented
87C61×#489C2211yescharacteristic, complemented
88C61×#489C2211yescharacteristic, complemented
89C61×#488C2211yescharacteristic, complemented
90C61×#488C2211yescharacteristic, complemented
91C61×#486C2211yescharacteristic, complemented
92C61×#486C2211yescharacteristic, complemented
93C61×#485C2211yescharacteristic, complemented
94C61×#485C2211yescharacteristic, complemented
95C61×#485C2211yescharacteristic, complemented
96C61×#485C2211yescharacteristic, complemented
97C61×#484C2211yescharacteristic, complemented
98C61×#483C2211yescharacteristic, complemented
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×#479C2211yescharacteristic, complemented
112C61×#479C2211yescharacteristic, complemented
113C61×#478C2211yescharacteristic, complemented
114C61×#478C2211yescharacteristic, complemented
115C61×#478C2211yescharacteristic, complemented
116C61×#478C2211yescharacteristic, complemented
117C61×#478C2211yescharacteristic, complemented
118C61×#478C2211yescharacteristic, complemented
119C61×#478C2211yescharacteristic, complemented
120C61×#478C2211yescharacteristic, complemented
121C61×#477C2211yescharacteristic, complemented
122C61×#476C2211yescharacteristic, complemented
123C61×#475C2211yescharacteristic, complemented
124C61×#474C2211yescharacteristic, complemented
125C61×#470C2211yescharacteristic, complemented
126C61×#469C2211yescharacteristic
127C61×#469C2211yescharacteristic
128C61×#469C2211yescharacteristic, complemented
129C61×#468C2211yescharacteristic, complemented
130C61×#468C2211yescharacteristic, complemented
131C61×#468C2211yescharacteristic, complemented
132C61×#468C2211yescharacteristic, complemented
133C61×#467C2211yescharacteristic, complemented
134C61×#466C2211yescharacteristic
135C61×#466C2211yescharacteristic
136C61×#466C2211yescharacteristic, complemented
137C61×#465C2211yescharacteristic, complemented
138C61×#465C2211yescharacteristic, complemented
139C61×#465C2211yescharacteristic, complemented
140C61×#465C2211yescharacteristic, complemented
141C61×#464C2211yescharacteristic, complemented
142C61×#464C2211yescharacteristic, complemented
143C61×#464C2211yescharacteristic, complemented
144C61×#464C2211yescharacteristic, complemented
145C61×#463C2211yescharacteristic
146C61×#463C2211yescharacteristic
147C61×#463C2211yescharacteristic
148C61×#463C2211yescharacteristic
149C61×#463C2211yescharacteristic
150C61×#463C2211yescharacteristic
151C61×#463C2211yescharacteristic, complemented
152C61×#463C2211yescharacteristic, complemented
153C61×#460C2211yescharacteristic, complemented
154C61×#460C2211yescharacteristic, complemented
155C61×#459C2211yescharacteristic
156C61×#459C2211yescharacteristic
157C61×#452C2211yescharacteristic, complemented
158C61×#452C2211yescharacteristic, complemented
159C61×#451C2211yescharacteristic, complemented
160C61×#450C2211yescharacteristic, complemented
161C61×#450C2211yescharacteristic, complemented
162C61×#450C2211yescharacteristic, complemented
163C61×#449C2211yescharacteristic
164C61×#449C2211yescharacteristic
165C61×#448C2211yescharacteristic
166C61×#448C2211yescharacteristic
167C61×#448C2211yescharacteristic, complemented
168C61×#447C2211yescharacteristic
169C61×#447C2211yescharacteristic
170C61×#447C2211yescharacteristic
171C61×#447C2211yescharacteristic
172C61×#447C2211yescharacteristic, complemented
173C61×#442C2211yescharacteristic
174C61×#442C2211yescharacteristic
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
187C4×D8×C61C2211yescharacteristic
188C4×D8×C61C2211yescharacteristic, complemented
189C61×#433C2211yescharacteristic, complemented
190C61×#433C2211yescharacteristic, complemented
191C61×#433C2211yescharacteristic, complemented
192C61×#433C2211yescharacteristic, complemented
193C61×#432C2211yescharacteristic, complemented
194C61×#432C2211yescharacteristic, complemented
195C61×#431C2211yescharacteristic, complemented
196C61×#431C2211yescharacteristic, complemented
197C61×#423C2211yescharacteristic, complemented
198C2×C4⋊C8×C61C2211yescharacteristic, complemented
199C61×#408C2211yescharacteristic
200C61×#408C2211yescharacteristic
201C61×#405C2211yescharacteristic, complemented
202C61×#405C2211yescharacteristic, complemented
203C2×#41×C61—21no—
204C2×#41×C61—21no—
205C2×#41×C61C2311yescharacteristic
206C2×#41×C61C2311yescharacteristic
207C22×Q8×C61C2311yescharacteristic
208C22×D4×C61C2311yescharacteristic
209C22×D4×C61C2311yescharacteristic
210C23×C4×C61—21no—
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×C61—21no—
233C4⋊Q8×C61C2311yescharacteristic
234C4⋊Q8×C61C2311yescharacteristic
235C4⋊Q8×C61C2311yescharacteristic
236C4⋊Q8×C61C2311yescharacteristic
237#127×C61—21no—
238#127×C61—21no—
239#127×C61C2311yescharacteristic
240#127×C61C2311yescharacteristic
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#126×C61—21no—
253#125×C61—21no—
254#125×C61C2311yescharacteristic
255#125×C61C2311yescharacteristic
256#125×C61C2311yescharacteristic
257#125×C61C2311yescharacteristic
258#124×C61—21no—
259#124×C61—21no—
260#124×C61—21no—
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×C61—21no—
270#124×C61—21no—
271#124×C61C2311yescharacteristic
272#124×C61C2311yescharacteristic
273#124×C61C2311yescharacteristic
274#124×C61C2311yescharacteristic
275#124×C61C2311yescharacteristic
276#124×C61C2311yescharacteristic
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—
292#123×C61—21no—
293#123×C61—21no—
294#123×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×C61—21no—
303C22⋊Q8×C61—21no—
304C22⋊Q8×C61—21no—
305C22⋊Q8×C61—21no—
306C22⋊Q8×C61C2311yescharacteristic
307C22⋊Q8×C61C2311yescharacteristic
308C22⋊Q8×C61C2311yescharacteristic
309C22⋊Q8×C61C2311yescharacteristic
310C22⋊Q8×C61C2311yescharacteristic
311C22⋊Q8×C61C2311yescharacteristic
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×C61C2311yescharacteristic
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#120×C61—21no—
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×C61—21no—
342C4×Q8×C61—21no—
343C4×Q8×C61D411yescharacteristic
344C4×Q8×C61D411yescharacteristic
345C4×Q8×C61C2311yescharacteristic
346C4×Q8×C61C2311yescharacteristic
347C4×Q8×C61C2311yescharacteristic
348C4×Q8×C61C2311yescharacteristic
349C4×Q8×C61C2311yescharacteristic
350C4×Q8×C61C2311yescharacteristic
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×C61D411yescharacteristic
366C4×D4×C61D411yescharacteristic
367C4×D4×C61D411yescharacteristic
368C4×D4×C61D411yescharacteristic
369C4×D4×C61D411yescharacteristic
370C4×D4×C61D411yescharacteristic
371C4×D4×C61C2311yescharacteristic
372C4×D4×C61C2311yescharacteristic
373C4×D4×C61C2311yescharacteristic
374C4×D4×C61C2311yescharacteristic
375C4×D4×C61C2311yescharacteristic
376C4×D4×C61C2311yescharacteristic
377C4×D4×C61C2311yescharacteristic
378C4×D4×C61C2311yescharacteristic
379C4×D4×C61C2311yescharacteristic
380C4×D4×C61C2311yescharacteristic
381#117×C61—21no—
382#117×C61—21no—
383#117×C61—21no—
384#117×C61—21no—
385#117×C61—21no—
386#117×C61—21no—
387#117×C61—21no—
388#117×C61—21no—
389#117×C61—21no—
390#117×C61C2311yescharacteristic
391#117×C61C2311yescharacteristic
392#117×C61C2311yescharacteristic
393#117×C61C2311yescharacteristic
394#117×C61C2311yescharacteristic
395#117×C61C2311yescharacteristic
396C2×C4⋊C4×C61C2311yescharacteristic
397C2×C22⋊C4×C61—21no—
398C2×C22⋊C4×C61—21no—
399C2×C22⋊C4×C61—21no—
400C2×C22⋊C4×C61—21no—
401C2×C22⋊C4×C61—21no—
402C2×C42×C61—21no—
403C2×C42×C61C2311yescharacteristic
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×C61—21no—
480#41×C61—41no—
481#41×C61—41no—
482#41×C61—41no—
483#41×C61—41no—
484#41×C61—82no—
485#41×C61—82no—
486C2×Q8×C61—21no—
487C2×Q8×C61—21no—
488C2×Q8×C61—21no—
489C2×Q8×C61—21no—
490C2×Q8×C61—21no—
491C2×Q8×C61—41no—
492C2×Q8×C61—41no—
493C2×Q8×C61C2×D411yescharacteristic
494C2×Q8×C61C2411yescharacteristic
495C2×Q8×C61C2411yescharacteristic
496C2×Q8×C61C2411yescharacteristic
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—41no—
515C2×D4×C61—41no—
516C2×D4×C61—41no—
517C2×D4×C61—41no—
518C2×D4×C61C2×D411yescharacteristic
519C2×D4×C61C2×D411yescharacteristic
520C2×D4×C61C2×D411yescharacteristic
521C2×D4×C61C2411yescharacteristic
522C2×D4×C61C2411yescharacteristic
523C2×D4×C61C2411yescharacteristic
524C2×D4×C61C2411yescharacteristic
525C2×D4×C61C2411yescharacteristic
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—21no—
538C22×C4×C61—21no—
539C22×C4×C61—82no—
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×C61C2×D411yescharacteristic
603C4⋊C4×C61C2×D411yescharacteristic
604C4⋊C4×C61C2×D411yescharacteristic
605C4⋊C4×C61C2×D411yescharacteristic
606C4⋊C4×C61C2×D411yescharacteristic
607C4⋊C4×C61C2×D411yescharacteristic
608C4⋊C4×C61C2411yescharacteristic
609C4⋊C4×C61C2411yescharacteristic
610C4⋊C4×C61C2411yescharacteristic
611C4⋊C4×C61C2411yescharacteristic
612C4⋊C4×C61C2411yescharacteristic
613C4⋊C4×C61C2411yescharacteristic
614C4⋊C4×C61C2411yescharacteristic
615C4⋊C4×C61C2411yescharacteristic
616C22⋊C4×C61—21no—
617C22⋊C4×C61—21no—
618C22⋊C4×C61—21no—
619C22⋊C4×C61—21no—
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
663C42×C61—21no—
664C42×C61—21no—
665C42×C61—21no—
666C42×C61—21no—
667C42×C61—21no—
668C42×C61—21no—
669C42×C61—21no—
670C42×C61—21no—
671C42×C61—21no—
672C42×C61C2×D411yescharacteristic
673C42×C61C2×D411yescharacteristic
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—42no—
688C23×C61—42no—
689C23×C61—81no—
690C23×C61—81no—
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—41no—
703Q8×C61—42no—
704Q8×C61—81no—
705Q8×C61—81no—
706Q8×C61—81no—
707Q8×C61—81no—
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—21no—
717D4×C61—21no—
718D4×C61—41no—
719D4×C61—41no—
720D4×C61—41no—
721D4×C61—42no—
722D4×C61—42no—
723D4×C61—42no—
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—
736D4×C61—81no—
737D4×C61—81no—
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—21no—
754C2×C4×C61—21no—
755C2×C4×C61—41no—
756C2×C4×C61—41no—
757C2×C4×C61—41no—
758C2×C4×C61—41no—
759C2×C4×C61—41no—
760C2×C4×C61—41no—
761C2×C4×C61—42no—
762C2×C4×C61—42no—
763C2×C4×C61—42no—
764C2×C4×C61—42no—
765C2×C4×C61—42no—
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#60998C6111yesmaximal, 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—84no—
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#3510C2×C6111yescharacteristic, complemented
847#3460C2×C6111yescharacteristic, complemented
848#3256C2×C6111yescharacteristic, complemented
849#3251C2×C6111yescharacteristic, complemented
850#3250C2×C6111yescharacteristic, complemented
851#3247C2×C6111yescharacteristic, complemented
852#3244C2×C6111yescharacteristic, complemented
853#3243C2×C6111yescharacteristic, complemented
854#3240C2×C6111yescharacteristic, complemented
855#3228C2×C6111yescharacteristic, complemented
856#3224C2×C6111yescharacteristic, complemented
857#3224C2×C6111yescharacteristic, complemented
858#3213C2×C6111yescharacteristic, complemented
859#3211C2×C6111yescharacteristic, complemented
860#3201C2×C6111yescharacteristic, complemented
861#3200C2×C6111yescharacteristic, complemented
862#3199C2×C6111yescharacteristic, complemented
863#3198C2×C6111yescharacteristic, complemented
864#3179C2×C6111yescharacteristic, complemented
865#3179C2×C6111yescharacteristic, complemented
866#3175C2×C6111yescharacteristic, complemented
867#3173C2×C6111yescharacteristic, complemented
868#3126C2×C6111yescharacteristic, complemented
869#3122C2×C6111yescharacteristic, complemented
870#3121C2×C6111yescharacteristic, complemented
871#3118C2×C6111yescharacteristic, complemented
872#3114C2×C6111yescharacteristic, complemented
873#3111C2×C6111yescharacteristic, complemented
874#3105C2×C6111yescharacteristic, complemented
875#3102C2×C6111yescharacteristic, complemented
876#2925C2×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#559—21no—
889#559—21no—
890#556—21no—
891#556—21no—
892#551—21no—
893#551—21no—
894#551—21no—
895#551—21no—
896#544C22×C6111yescharacteristic, complemented
897#542—21no—
898#542C22×C6111yescharacteristic
899#542C22×C6111yescharacteristic
900#542C22×C6111yescharacteristic
901#542C22×C6111yescharacteristic, complemented
902#542C22×C6111yescharacteristic, complemented
903#542C22×C6111yescharacteristic, complemented
904#540—21no—
905#540C22×C6111yescharacteristic
906#540C22×C6111yescharacteristic, complemented
907#538—21no—
908#538—21no—
909#537C22×C6111yescharacteristic
910#536C22×C6111yescharacteristic
911#535C22×C6111yescharacteristic
912#535C22×C6111yescharacteristic
913#535C22×C6111yescharacteristic, complemented
914#533C22×C6111yescharacteristic, complemented
915#532—21no—
916#532C22×C6111yescharacteristic
917#532C22×C6111yescharacteristic, complemented
918#529—21no—
919#529C22×C6111yescharacteristic
920#529C22×C6111yescharacteristic
921#529C22×C6111yescharacteristic
922#529C22×C6111yescharacteristic, complemented
923#529C22×C6111yescharacteristic, complemented
924#529C22×C6111yescharacteristic, complemented
925C2×#124C22×C6111yescharacteristic, complemented
926#525—21no—
927#525—21no—
928#519C22×C6111yescharacteristic, complemented
929#518C22×C6111yescharacteristic, complemented
930C4×#41C22×C6111yescharacteristic
931C4×#41C22×C6111yescharacteristic, complemented
932C2×C4×D4C22×C6111yescharacteristic, complemented
933#501C22×C6111yescharacteristic, complemented
934#501C22×C6111yescharacteristic, complemented
935#500C22×C6111yescharacteristic, complemented
936#498C22×C6111yescharacteristic, complemented
937#496C22×C6111yescharacteristic
938#496C22×C6111yescharacteristic
939#495C22×C6111yescharacteristic
940#495C22×C6111yescharacteristic
941#489C22×C6111yescharacteristic, complemented
942#489C22×C6111yescharacteristic, complemented
943#489C22×C6111yescharacteristic, complemented
944#489C22×C6111yescharacteristic, complemented
945#488C22×C6111yescharacteristic, complemented
946#488C22×C6111yescharacteristic, complemented
947#486C22×C6111yescharacteristic, complemented
948#486C22×C6111yescharacteristic, complemented
949#485C22×C6111yescharacteristic, complemented
950#485C22×C6111yescharacteristic, complemented
951#485C22×C6111yescharacteristic, complemented
952#485C22×C6111yescharacteristic, complemented
953#484C22×C6111yescharacteristic, complemented
954#483C22×C6111yescharacteristic, complemented
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#479C22×C6111yescharacteristic, complemented
968#479C22×C6111yescharacteristic, complemented
969#478C22×C6111yescharacteristic, complemented
970#478C22×C6111yescharacteristic, complemented
971#478C22×C6111yescharacteristic, complemented
972#478C22×C6111yescharacteristic, complemented
973#478C22×C6111yescharacteristic, complemented
974#478C22×C6111yescharacteristic, complemented
975#478C22×C6111yescharacteristic, complemented
976#478C22×C6111yescharacteristic, complemented
977#477C22×C6111yescharacteristic, complemented
978#476C22×C6111yescharacteristic, complemented
979#475C22×C6111yescharacteristic, complemented
980#474C22×C6111yescharacteristic, complemented
981#470C22×C6111yescharacteristic, complemented
982#469C22×C6111yescharacteristic
983#469C22×C6111yescharacteristic
984#469C22×C6111yescharacteristic, complemented
985#468C22×C6111yescharacteristic, complemented
986#468C22×C6111yescharacteristic, complemented
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, complemented
994#465C22×C6111yescharacteristic, complemented
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
1002#463C22×C6111yescharacteristic
1003#463C22×C6111yescharacteristic
1004#463C22×C6111yescharacteristic
1005#463C22×C6111yescharacteristic
1006#463C22×C6111yescharacteristic
1007#463C22×C6111yescharacteristic, complemented
1008#463C22×C6111yescharacteristic, complemented
1009#460C22×C6111yescharacteristic, complemented
1010#460C22×C6111yescharacteristic, complemented
1011#459C22×C6111yescharacteristic
1012#459C22×C6111yescharacteristic
1013#452C22×C6111yescharacteristic, complemented
1014#452C22×C6111yescharacteristic, complemented
1015#451C22×C6111yescharacteristic, complemented
1016#450C22×C6111yescharacteristic, complemented
1017#450C22×C6111yescharacteristic, complemented
1018#450C22×C6111yescharacteristic, complemented
1019#449C22×C6111yescharacteristic
1020#449C22×C6111yescharacteristic
1021#448C22×C6111yescharacteristic
1022#448C22×C6111yescharacteristic
1023#448C22×C6111yescharacteristic, complemented
1024#447C22×C6111yescharacteristic
1025#447C22×C6111yescharacteristic
1026#447C22×C6111yescharacteristic
1027#447C22×C6111yescharacteristic
1028#447C22×C6111yescharacteristic, complemented
1029#442C22×C6111yescharacteristic
1030#442C22×C6111yescharacteristic
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
1043C4×D8C22×C6111yescharacteristic
1044C4×D8C22×C6111yescharacteristic, complemented
1045#433C22×C6111yescharacteristic, complemented
1046#433C22×C6111yescharacteristic, complemented
1047#433C22×C6111yescharacteristic, complemented
1048#433C22×C6111yescharacteristic, complemented
1049#432C22×C6111yescharacteristic, complemented
1050#432C22×C6111yescharacteristic, complemented
1051#431C22×C6111yescharacteristic, complemented
1052#431C22×C6111yescharacteristic, complemented
1053#423C22×C6111yescharacteristic, complemented
1054C2×C4⋊C8C22×C6111yescharacteristic, complemented
1055#408C22×C6111yescharacteristic
1056#408C22×C6111yescharacteristic
1057#405C22×C6111yescharacteristic, complemented
1058#405C22×C6111yescharacteristic, complemented
1059C61#6099811yescharacteristic, direct product factor, Sylow
1060C2×#41—21no—
1061C2×#41—21no—
1062C2×#41C23×C6111yescharacteristic
1063C2×#41C23×C6111yescharacteristic
1064C22×Q8C23×C6111yescharacteristic
1065C22×D4C23×C6111yescharacteristic
1066C22×D4C23×C6111yescharacteristic
1067C23×C4—21no—
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⋊Q8—21no—
1090C4⋊Q8C23×C6111yescharacteristic
1091C4⋊Q8C23×C6111yescharacteristic
1092C4⋊Q8C23×C6111yescharacteristic
1093C4⋊Q8C23×C6111yescharacteristic
1094#127—21no—
1095#127—21no—
1096#127C23×C6111yescharacteristic
1097#127C23×C6111yescharacteristic
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#126—21no—
1110#125—21no—
1111#125C23×C6111yescharacteristic
1112#125C23×C6111yescharacteristic
1113#125C23×C6111yescharacteristic
1114#125C23×C6111yescharacteristic
1115#124—21no—
1116#124—21no—
1117#124—21no—
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#124—21no—
1127#124—21no—
1128#124C23×C6111yescharacteristic
1129#124C23×C6111yescharacteristic
1130#124C23×C6111yescharacteristic
1131#124C23×C6111yescharacteristic
1132#124C23×C6111yescharacteristic
1133#124C23×C6111yescharacteristic
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—
1149#123—21no—
1150#123—21no—
1151#123—21no—
1152C22⋊Q8—21no—
1153C22⋊Q8—21no—
1154C22⋊Q8—21no—
1155C22⋊Q8—21no—
1156C22⋊Q8—21no—
1157C22⋊Q8—21no—
1158C22⋊Q8—21no—
1159C22⋊Q8—21no—
1160C22⋊Q8—21no—
1161C22⋊Q8—21no—
1162C22⋊Q8—21no—
1163C22⋊Q8C23×C6111yescharacteristic
1164C22⋊Q8C23×C6111yescharacteristic
1165C22⋊Q8C23×C6111yescharacteristic
1166C22⋊Q8C23×C6111yescharacteristic
1167C22⋊Q8C23×C6111yescharacteristic
1168C22⋊Q8C23×C6111yescharacteristic
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#121C23×C6111yescharacteristic
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#120—21no—
1191#120—21no—
1192#120—21no—
1193#120—21no—
1194#120—21no—
1195#120—21no—
1196C4×Q8—21no—
1197C4×Q8—21no—
1198C4×Q8—21no—
1199C4×Q8—21no—
1200C4×Q8D4×C6111yescharacteristic
1201C4×Q8D4×C6111yescharacteristic
1202C4×Q8C23×C6111yescharacteristic
1203C4×Q8C23×C6111yescharacteristic
1204C4×Q8C23×C6111yescharacteristic
1205C4×Q8C23×C6111yescharacteristic
1206C4×Q8C23×C6111yescharacteristic
1207C4×Q8C23×C6111yescharacteristic
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×D4D4×C6111yescharacteristic
1223C4×D4D4×C6111yescharacteristic
1224C4×D4D4×C6111yescharacteristic
1225C4×D4D4×C6111yescharacteristic
1226C4×D4D4×C6111yescharacteristic
1227C4×D4D4×C6111yescharacteristic
1228C4×D4C23×C6111yescharacteristic
1229C4×D4C23×C6111yescharacteristic
1230C4×D4C23×C6111yescharacteristic
1231C4×D4C23×C6111yescharacteristic
1232C4×D4C23×C6111yescharacteristic
1233C4×D4C23×C6111yescharacteristic
1234C4×D4C23×C6111yescharacteristic
1235C4×D4C23×C6111yescharacteristic
1236C4×D4C23×C6111yescharacteristic
1237C4×D4C23×C6111yescharacteristic
1238#117—21no—
1239#117—21no—
1240#117—21no—
1241#117—21no—
1242#117—21no—
1243#117—21no—
1244#117—21no—
1245#117—21no—
1246#117—21no—
1247#117C23×C6111yescharacteristic
1248#117C23×C6111yescharacteristic
1249#117C23×C6111yescharacteristic
1250#117C23×C6111yescharacteristic
1251#117C23×C6111yescharacteristic
1252#117C23×C6111yescharacteristic
1253C2×C4⋊C4C23×C6111yescharacteristic
1254C2×C22⋊C4—21no—
1255C2×C22⋊C4—21no—
1256C2×C22⋊C4—21no—
1257C2×C22⋊C4—21no—
1258C2×C22⋊C4—21no—
1259C2×C42—21no—
1260C2×C42C23×C6111yescharacteristic
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—
1336C24—21no—
1337#41—41no—
1338#41—41no—
1339#41—41no—
1340#41—41no—
1341#41—82no—
1342#41—82no—
1343C2×Q8—21no—
1344C2×Q8—21no—
1345C2×Q8—21no—
1346C2×Q8—21no—
1347C2×Q8—21no—
1348C2×Q8—41no—
1349C2×Q8—41no—
1350C2×Q8C2×D4×C6111yescharacteristic
1351C2×Q8C24×C6111yescharacteristic
1352C2×Q8C24×C6111yescharacteristic
1353C2×Q8C24×C6111yescharacteristic
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—41no—
1372C2×D4—41no—
1373C2×D4—41no—
1374C2×D4—41no—
1375C2×D4C2×D4×C6111yescharacteristic
1376C2×D4C2×D4×C6111yescharacteristic
1377C2×D4C2×D4×C6111yescharacteristic
1378C2×D4C24×C6111yescharacteristic
1379C2×D4C24×C6111yescharacteristic
1380C2×D4C24×C6111yescharacteristic
1381C2×D4C24×C6111yescharacteristic
1382C2×D4C24×C6111yescharacteristic
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—21no—
1395C22×C4—21no—
1396C22×C4—82no—
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⋊C4C2×D4×C6111yescharacteristic
1460C4⋊C4C2×D4×C6111yescharacteristic
1461C4⋊C4C2×D4×C6111yescharacteristic
1462C4⋊C4C2×D4×C6111yescharacteristic
1463C4⋊C4C2×D4×C6111yescharacteristic
1464C4⋊C4C2×D4×C6111yescharacteristic
1465C4⋊C4C24×C6111yescharacteristic
1466C4⋊C4C24×C6111yescharacteristic
1467C4⋊C4C24×C6111yescharacteristic
1468C4⋊C4C24×C6111yescharacteristic
1469C4⋊C4C24×C6111yescharacteristic
1470C4⋊C4C24×C6111yescharacteristic
1471C4⋊C4C24×C6111yescharacteristic
1472C4⋊C4C24×C6111yescharacteristic
1473C22⋊C4—21no—
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—21no—
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
1520C42—21no—
1521C42—21no—
1522C42—21no—
1523C42—21no—
1524C42—21no—
1525C42—21no—
1526C42—21no—
1527C42—21no—
1528C42—21no—
1529C42C2×D4×C6111yescharacteristic
1530C42C2×D4×C6111yescharacteristic
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—42no—
1545C23—42no—
1546C23—81no—
1547C23—81no—
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—41no—
1560Q8—42no—
1561Q8—81no—
1562Q8—81no—
1563Q8—81no—
1564Q8—81no—
1565D4—21no—
1566D4—21no—
1567D4—21no—
1568D4—21no—
1569D4—21no—
1570D4—21no—
1571D4—21no—
1572D4—21no—
1573D4—21no—
1574D4—21no—
1575D4—41no—
1576D4—41no—
1577D4—41no—
1578D4—42no—
1579D4—42no—
1580D4—42no—
1581D4—81no—
1582D4—81no—
1583D4—81no—
1584D4—81no—
1585D4—81no—
1586D4—81no—
1587D4—81no—
1588D4—81no—
1589D4—81no—
1590D4—81no—
1591D4—81no—
1592D4—81no—
1593D4—81no—
1594D4—81no—
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—21no—
1611C2×C4—21no—
1612C2×C4—41no—
1613C2×C4—41no—
1614C2×C4—41no—
1615C2×C4—41no—
1616C2×C4—41no—
1617C2×C4—41no—
1618C2×C4—42no—
1619C2×C4—42no—
1620C2×C4—42no—
1621C2×C4—42no—
1622C2×C4—42no—
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—84no—
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 ◁ C4×#41×C61 ◁ G

Complements

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

NH ≅ G/Ntype
1. C61×#3510C2semidirect
2. C61×#3460C2semidirect
3. C61×#3256C2semidirect
4. C61×#3251C2semidirect
5. C61×#3250C2semidirect
6. C61×#3247C2semidirect
7. C61×#3244C2semidirect
8. C61×#3243C2semidirect
9. C61×#3240C2semidirect
10. C61×#3228C2semidirect
11. C61×#3224C2semidirect
12. C61×#3224C2semidirect
13. C61×#3213C2semidirect
14. C61×#3211C2semidirect
15. C61×#3201C2semidirect
16. C61×#3200C2semidirect
17. C61×#3199C2semidirect
18. C61×#3198C2semidirect
19. C61×#3179C2semidirect
20. C61×#3179C2semidirect
21. C61×#3175C2semidirect
22. C61×#3173C2semidirect
23. C61×#3126C2semidirect
24. C61×#3122C2semidirect
25. C61×#3121C2semidirect
26. C61×#3118C2semidirect
27. C61×#3114C2semidirect
28. C61×#3111C2semidirect
29. C61×#3105C2semidirect
30. C61×#3102C2semidirect
31. C61×#2925C2semidirect
40. C61×#544C22semidirect
45. C61×#542C22semidirect
46. C61×#542C22semidirect
47. C61×#542C22semidirect
50. C61×#540C22semidirect
57. C61×#535C22semidirect
58. C61×#533C22semidirect
61. C61×#532C22semidirect
66. C61×#529C22semidirect
67. C61×#529C22semidirect
68. C61×#529C22semidirect
69. C2×#124×C61C22semidirect
72. C61×#519C22semidirect
73. C61×#518C22semidirect
75. C4×#41×C61C22semidirect
76. C2×C4×D4×C61C22semidirect
77. C61×#501C22semidirect
78. C61×#501C22semidirect
79. C61×#500C22semidirect
80. C61×#498C22semidirect
85. C61×#489C22semidirect
86. C61×#489C22semidirect
87. C61×#489C22semidirect
88. C61×#489C22semidirect
89. C61×#488C22semidirect
90. C61×#488C22semidirect
91. C61×#486C22semidirect
92. C61×#486C22semidirect
93. C61×#485C22semidirect
94. C61×#485C22semidirect
95. C61×#485C22semidirect
96. C61×#485C22semidirect
97. C61×#484C22semidirect
98. C61×#483C22semidirect
105. C61×#482C22semidirect
106. C61×#482C22semidirect
109. C61×#479C22semidirect
110. C61×#479C22semidirect
111. C61×#479C22semidirect
112. C61×#479C22semidirect
113. C61×#478C22semidirect
114. C61×#478C22semidirect
115. C61×#478C22semidirect
116. C61×#478C22semidirect
117. C61×#478C22semidirect
118. C61×#478C22semidirect
119. C61×#478C22semidirect
120. C61×#478C22semidirect
121. C61×#477C22semidirect
122. C61×#476C22semidirect
123. C61×#475C22semidirect
124. C61×#474C22semidirect
125. C61×#470C22semidirect
128. C61×#469C22semidirect
129. C61×#468C22semidirect
130. C61×#468C22semidirect
131. C61×#468C22semidirect
132. C61×#468C22semidirect
133. C61×#467C22semidirect
136. C61×#466C22semidirect
137. C61×#465C22semidirect
138. C61×#465C22semidirect
139. C61×#465C22semidirect
140. C61×#465C22semidirect
141. C61×#464C22semidirect
142. C61×#464C22semidirect
143. C61×#464C22semidirect
144. C61×#464C22semidirect
151. C61×#463C22semidirect
152. C61×#463C22semidirect
153. C61×#460C22semidirect
154. C61×#460C22semidirect
157. C61×#452C22semidirect
158. C61×#452C22semidirect
159. C61×#451C22semidirect
160. C61×#450C22semidirect
161. C61×#450C22semidirect
162. C61×#450C22semidirect
167. C61×#448C22semidirect
172. C61×#447C22semidirect
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
188. C4×D8×C61C22semidirect
189. C61×#433C22semidirect
190. C61×#433C22semidirect
191. C61×#433C22semidirect
192. C61×#433C22semidirect
193. C61×#432C22semidirect
194. C61×#432C22semidirect
195. C61×#431C22semidirect
196. C61×#431C22semidirect
197. C61×#423C22semidirect
198. C2×C4⋊C8×C61C22semidirect
201. C61×#405C22semidirect
202. C61×#405C22semidirect
794. #60998C61direct (N × H)
846. #3510C2×C61semidirect
847. #3460C2×C61semidirect
848. #3256C2×C61semidirect
849. #3251C2×C61semidirect
850. #3250C2×C61semidirect
851. #3247C2×C61semidirect
852. #3244C2×C61semidirect
853. #3243C2×C61semidirect
854. #3240C2×C61semidirect
855. #3228C2×C61semidirect
856. #3224C2×C61semidirect
857. #3224C2×C61semidirect
858. #3213C2×C61semidirect
859. #3211C2×C61semidirect
860. #3201C2×C61semidirect
861. #3200C2×C61semidirect
862. #3199C2×C61semidirect
863. #3198C2×C61semidirect
864. #3179C2×C61semidirect
865. #3179C2×C61semidirect
866. #3175C2×C61semidirect
867. #3173C2×C61semidirect
868. #3126C2×C61semidirect
869. #3122C2×C61semidirect
870. #3121C2×C61semidirect
871. #3118C2×C61semidirect
872. #3114C2×C61semidirect
873. #3111C2×C61semidirect
874. #3105C2×C61semidirect
875. #3102C2×C61semidirect
876. #2925C2×C61semidirect
896. #544C22×C61semidirect
901. #542C22×C61semidirect
902. #542C22×C61semidirect
903. #542C22×C61semidirect
906. #540C22×C61semidirect
913. #535C22×C61semidirect
914. #533C22×C61semidirect
917. #532C22×C61semidirect
922. #529C22×C61semidirect
923. #529C22×C61semidirect
924. #529C22×C61semidirect
925. C2×#124C22×C61semidirect
928. #519C22×C61semidirect
929. #518C22×C61semidirect
931. C4×#41C22×C61semidirect
932. C2×C4×D4C22×C61semidirect
933. #501C22×C61semidirect
934. #501C22×C61semidirect
935. #500C22×C61semidirect
936. #498C22×C61semidirect
941. #489C22×C61semidirect
942. #489C22×C61semidirect
943. #489C22×C61semidirect
944. #489C22×C61semidirect
945. #488C22×C61semidirect
946. #488C22×C61semidirect
947. #486C22×C61semidirect
948. #486C22×C61semidirect
949. #485C22×C61semidirect
950. #485C22×C61semidirect
951. #485C22×C61semidirect
952. #485C22×C61semidirect
953. #484C22×C61semidirect
954. #483C22×C61semidirect
961. #482C22×C61semidirect
962. #482C22×C61semidirect
965. #479C22×C61semidirect
966. #479C22×C61semidirect
967. #479C22×C61semidirect
968. #479C22×C61semidirect
969. #478C22×C61semidirect
970. #478C22×C61semidirect
971. #478C22×C61semidirect
972. #478C22×C61semidirect
973. #478C22×C61semidirect
974. #478C22×C61semidirect
975. #478C22×C61semidirect
976. #478C22×C61semidirect
977. #477C22×C61semidirect
978. #476C22×C61semidirect
979. #475C22×C61semidirect
980. #474C22×C61semidirect
981. #470C22×C61semidirect
984. #469C22×C61semidirect
985. #468C22×C61semidirect
986. #468C22×C61semidirect
987. #468C22×C61semidirect
988. #468C22×C61semidirect
989. #467C22×C61semidirect
992. #466C22×C61semidirect
993. #465C22×C61semidirect
994. #465C22×C61semidirect
995. #465C22×C61semidirect
996. #465C22×C61semidirect
997. #464C22×C61semidirect
998. #464C22×C61semidirect
999. #464C22×C61semidirect
1000. #464C22×C61semidirect
1007. #463C22×C61semidirect
1008. #463C22×C61semidirect
1009. #460C22×C61semidirect
1010. #460C22×C61semidirect
1013. #452C22×C61semidirect
1014. #452C22×C61semidirect
1015. #451C22×C61semidirect
1016. #450C22×C61semidirect
1017. #450C22×C61semidirect
1018. #450C22×C61semidirect
1023. #448C22×C61semidirect
1028. #447C22×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
1044. C4×D8C22×C61semidirect
1045. #433C22×C61semidirect
1046. #433C22×C61semidirect
1047. #433C22×C61semidirect
1048. #433C22×C61semidirect
1049. #432C22×C61semidirect
1050. #432C22×C61semidirect
1051. #431C22×C61semidirect
1052. #431C22×C61semidirect
1053. #423C22×C61semidirect
1054. C2×C4⋊C8C22×C61semidirect
1057. #405C22×C61semidirect
1058. #405C22×C61semidirect
1059. C61#60998direct (N × H)

Maximal subgroups

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

subgroupindex
C61×#35102
C61×#34602
C61×#32562
C61×#32512
C61×#32502
C61×#32472
C61×#32442
C61×#32432
C61×#32402
C61×#32282
C61×#32242
C61×#32132
C61×#32112
C61×#32012
C61×#32002
C61×#31992
C61×#31982
C61×#31792
C61×#31752
C61×#31732
C61×#31262
C61×#31222
C61×#31212
C61×#31182
C61×#31142
C61×#31112
C61×#31052
C61×#31022
C61×#29252
#6099861