Finite Group Databasebeta

← C61×#62176 #29565609

Subgroups — C61×#62176 #29565609

Order 15616.

1716 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C61×#3565C211yesmaximal, characteristic, complemented
2C61×#3513C211yesmaximal, characteristic, complemented
3C61×#3388C211yesmaximal, characteristic, complemented
4C61×#3380C211yesmaximal, characteristic, complemented
5C61×#3370C211yesmaximal, characteristic, complemented
6C61×#3365C211yesmaximal, characteristic, complemented
7C61×#3355C211yesmaximal, characteristic, complemented
8C61×#3353C211yesmaximal, characteristic, complemented
9C61×#3352C211yesmaximal, characteristic, complemented
10C61×#3348C211yesmaximal, characteristic, complemented
11C61×#3345C211yesmaximal, characteristic, complemented
12C61×#3337C211yesmaximal, characteristic, complemented
13C61×#3325C211yesmaximal, characteristic, complemented
14C61×#3323C211yesmaximal, characteristic, complemented
15C61×#3322C211yesmaximal, characteristic, complemented
16C61×#3311C211yesmaximal, characteristic, complemented
17C61×#3310C211yesmaximal, characteristic, complemented
18C61×#3297C211yesmaximal, characteristic, complemented
19C61×#3263C211yesmaximal, characteristic, complemented
20C61×#3257C211yesmaximal, characteristic, complemented
21C61×#3256C211yesmaximal, characteristic, complemented
22C61×#3243C211yesmaximal, characteristic, complemented
23C61×#3241C211yesmaximal, characteristic, complemented
24C61×#3233C211yesmaximal, characteristic, complemented
25C61×#3124C211yesmaximal, characteristic, complemented
26C61×#3118C211yesmaximal, characteristic, complemented
27C61×#3105C211yesmaximal, characteristic, complemented
28C61×#3084C211yesmaximal, characteristic, complemented
29C61×#3081C211yesmaximal, characteristic, complemented
30C61×#3077C211yesmaximal, characteristic, complemented
31C61×#2993C211yesmaximal, characteristic, complemented
32C61×#563—21no—
33C61×#562—21no—
34C61×#559C2211yescharacteristic
35C61×#557C2211yescharacteristic, complemented
36C61×#556—21no—
37C61×#556C2211yescharacteristic, complemented
38C61×#555C2211yescharacteristic
39C61×#554C2211yescharacteristic
40C61×#554C2211yescharacteristic, complemented
41C61×#553—21no—
42C61×#553C2211yescharacteristic
43C61×#553C2211yescharacteristic, complemented
44C61×#553C2211yescharacteristic, complemented
45C61×#552—21no—
46C61×#552C2211yescharacteristic
47C61×#552C2211yescharacteristic
48C61×#552C2211yescharacteristic, complemented
49C61×#551—21no—
50C61×#551—21no—
51C61×#547C2211yescharacteristic
52C61×#546—21no—
53C61×#546C2211yescharacteristic
54C61×#546C2211yescharacteristic
55D42×C61C2211yescharacteristic
56C61×#544C2211yescharacteristic, complemented
57C61×#544C2211yescharacteristic, complemented
58C61×#542—21no—
59C61×#542—21no—
60C61×#542C2211yescharacteristic
61C61×#542C2211yescharacteristic, complemented
62C61×#542C2211yescharacteristic, complemented
63C61×#541—21no—
64C61×#540C2211yescharacteristic
65C61×#539—21no—
66C61×#539—21no—
67C61×#538—21no—
68C61×#533C2211yescharacteristic, complemented
69C61×#529C2211yescharacteristic
70C61×#529C2211yescharacteristic
71C61×#529C2211yescharacteristic, complemented
72C61×#525—21no—
73C2×#123×C61—21no—
74C61×#520C2211yescharacteristic
75C61×#518C2211yescharacteristic
76C2×C4×D4×C61C2211yescharacteristic
77C61×#501C2211yescharacteristic, complemented
78C61×#501C2211yescharacteristic, complemented
79C61×#500C2211yescharacteristic, complemented
80C61×#499C2211yescharacteristic, complemented
81C61×#499C2211yescharacteristic, complemented
82C61×#499C2211yescharacteristic, complemented
83C61×#490C2211yescharacteristic
84C61×#489C2211yescharacteristic, complemented
85C61×#488C2211yescharacteristic, complemented
86C61×#488C2211yescharacteristic, complemented
87C61×#488C2211yescharacteristic, complemented
88C61×#486C2211yescharacteristic
89C61×#485C2211yescharacteristic, complemented
90C61×#485C2211yescharacteristic, complemented
91C61×#485C2211yescharacteristic, complemented
92C61×#485C2211yescharacteristic, complemented
93C61×#484C2211yescharacteristic, complemented
94C61×#484C2211yescharacteristic, complemented
95C61×#484C2211yescharacteristic, complemented
96C61×#482C2211yescharacteristic
97C61×#482C2211yescharacteristic
98C61×#482C2211yescharacteristic
99C61×#482C2211yescharacteristic, complemented
100C61×#482C2211yescharacteristic, complemented
101C61×#482C2211yescharacteristic, complemented
102C61×#481C2211yescharacteristic, complemented
103C61×#481C2211yescharacteristic, complemented
104C61×#480C2211yescharacteristic
105C61×#480C2211yescharacteristic, complemented
106C61×#480C2211yescharacteristic, complemented
107C61×#479C2211yescharacteristic, complemented
108C61×#479C2211yescharacteristic, complemented
109C61×#479C2211yescharacteristic, complemented
110C61×#479C2211yescharacteristic, complemented
111C61×#478C2211yescharacteristic
112C61×#478C2211yescharacteristic
113C61×#478C2211yescharacteristic
114C61×#478C2211yescharacteristic
115C61×#478C2211yescharacteristic
116C61×#478C2211yescharacteristic, complemented
117C61×#478C2211yescharacteristic, complemented
118C61×#478C2211yescharacteristic, complemented
119C61×#478C2211yescharacteristic, complemented
120C61×#478C2211yescharacteristic, complemented
121C61×#478C2211yescharacteristic, complemented
122C61×#478C2211yescharacteristic, complemented
123C61×#477C2211yescharacteristic, complemented
124C61×#476C2211yescharacteristic
125C61×#476C2211yescharacteristic
126C61×#476C2211yescharacteristic
127C61×#476C2211yescharacteristic, complemented
128C61×#476C2211yescharacteristic, complemented
129C61×#476C2211yescharacteristic, complemented
130C61×#475C2211yescharacteristic, complemented
131C61×#475C2211yescharacteristic, complemented
132C61×#475C2211yescharacteristic, complemented
133C61×#474C2211yescharacteristic
134C61×#474C2211yescharacteristic, complemented
135C61×#474C2211yescharacteristic, complemented
136C61×#474C2211yescharacteristic, complemented
137C61×#470C2211yescharacteristic, complemented
138C61×#470C2211yescharacteristic, complemented
139C61×#469C2211yescharacteristic
140C61×#469C2211yescharacteristic
141C61×#469C2211yescharacteristic, complemented
142C61×#468C2211yescharacteristic
143C61×#468C2211yescharacteristic, complemented
144C61×#468C2211yescharacteristic, complemented
145C61×#466C2211yescharacteristic, complemented
146C61×#465C2211yescharacteristic
147C61×#465C2211yescharacteristic, complemented
148C61×#465C2211yescharacteristic, complemented
149C61×#464C2211yescharacteristic, complemented
150C61×#464C2211yescharacteristic, complemented
151C61×#464C2211yescharacteristic, complemented
152C61×#463C2211yescharacteristic
153C61×#463C2211yescharacteristic, complemented
154C61×#463C2211yescharacteristic, complemented
155C61×#463C2211yescharacteristic, complemented
156C61×#463C2211yescharacteristic, complemented
157C61×#460C2211yescharacteristic
158C61×#459C2211yescharacteristic
159C61×#452C2211yescharacteristic
160C61×#450C2211yescharacteristic
161C61×#450C2211yescharacteristic
162C61×#449C2211yescharacteristic
163C61×#447C2211yescharacteristic
164C61×#447C2211yescharacteristic
165C61×#446C2211yescharacteristic, complemented
166C8×Q8×C61C2211yescharacteristic, complemented
167C61×#442C2211yescharacteristic, complemented
168C61×#440C2211yescharacteristic
169C61×#440C2211yescharacteristic
170C61×#440C2211yescharacteristic, complemented
171C4×Q16×C61C2211yescharacteristic, complemented
172C4×SD16×C61C2211yescharacteristic
173C4×SD16×C61C2211yescharacteristic, complemented
174C4×SD16×C61C2211yescharacteristic, complemented
175C4×D8×C61C2211yescharacteristic
176C4×D8×C61C2211yescharacteristic
177C4×D8×C61C2211yescharacteristic
178C4×D8×C61C2211yescharacteristic, complemented
179C61×#436C2211yescharacteristic
180C61×#436C2211yescharacteristic, complemented
181C61×#436C2211yescharacteristic, complemented
182C61×#435C2211yescharacteristic
183C61×#435C2211yescharacteristic, complemented
184C8×D4×C61C2211yescharacteristic, complemented
185C61×#433C2211yescharacteristic, complemented
186C61×#433C2211yescharacteristic, complemented
187C61×#431C2211yescharacteristic, complemented
188C61×#428C2211yescharacteristic, complemented
189C61×#428C2211yescharacteristic, complemented
190C61×#428C2211yescharacteristic, complemented
191C61×#428C2211yescharacteristic, complemented
192C61×#427C2211yescharacteristic, complemented
193C2×#106×C61C2211yescharacteristic, complemented
194C61×#424C2211yescharacteristic, complemented
195C61×#424C2211yescharacteristic, complemented
196C61×#423C2211yescharacteristic, complemented
197C61×#418C2211yescharacteristic
198C61×#418C2211yescharacteristic
199C61×#418C2211yescharacteristic
200C61×#417C2211yescharacteristic
201C61×#416C2211yescharacteristic
202C2×#102×C61C2211yescharacteristic
203C2×#41×C61—21no—
204C2×#41×C61C2311yescharacteristic
205C22×D4×C61—21no—
206C22×D4×C61C2311yescharacteristic
207C22×D4×C61C2311yescharacteristic
208C23×C4×C61—21no—
209C2×Q16×C61C2311yescharacteristic
210C2×SD16×C61C2311yescharacteristic
211C2×SD16×C61C2311yescharacteristic
212C2×SD16×C61C2311yescharacteristic
213C2×SD16×C61C2311yescharacteristic
214C2×D8×C61C2311yescharacteristic
215C2×D8×C61C2311yescharacteristic
216C2×D8×C61C2311yescharacteristic
217C2×M16×C61C2311yescharacteristic
218C2×M16×C61C2311yescharacteristic
219C2×M16×C61C2311yescharacteristic
220C2×M16×C61C2311yescharacteristic
221C22×C8×C61C2311yescharacteristic
222C22×C8×C61C2311yescharacteristic
223C4⋊Q8×C61—21no—
224C4⋊Q8×C61—21no—
225C4⋊Q8×C61—21no—
226C4⋊Q8×C61C2311yescharacteristic
227C4⋊Q8×C61C2311yescharacteristic
228C4⋊Q8×C61C2311yescharacteristic
229C4⋊Q8×C61C2311yescharacteristic
230C4⋊Q8×C61C2311yescharacteristic
231#127×C61C2311yescharacteristic
232#126×C61—21no—
233#126×C61—21no—
234#126×C61—21no—
235#126×C61—21no—
236#126×C61—21no—
237#126×C61—21no—
238#126×C61—21no—
239#126×C61—21no—
240#126×C61—21no—
241#126×C61—21no—
242#126×C61—21no—
243#126×C61—21no—
244#126×C61—21no—
245#126×C61D411yescharacteristic
246#126×C61D411yescharacteristic
247#125×C61—21no—
248#125×C61—21no—
249#125×C61—21no—
250#125×C61—21no—
251#125×C61—21no—
252#125×C61—21no—
253#125×C61—21no—
254#125×C61D411yescharacteristic
255#125×C61C2311yescharacteristic
256#125×C61C2311yescharacteristic
257#125×C61C2311yescharacteristic
258#125×C61C2311yescharacteristic
259#125×C61C2311yescharacteristic
260#125×C61C2311yescharacteristic
261#125×C61C2311yescharacteristic
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×C61D411yescharacteristic
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—
292#123×C61D411yescharacteristic
293#123×C61D411yescharacteristic
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×C61—21no—
303C22⋊Q8×C61—21no—
304C22⋊Q8×C61—21no—
305C22⋊Q8×C61—21no—
306C22⋊Q8×C61—21no—
307C22⋊Q8×C61—21no—
308C22⋊Q8×C61—21no—
309C22⋊Q8×C61—21no—
310C22⋊Q8×C61D411yescharacteristic
311C22⋊Q8×C61C2311yescharacteristic
312C22⋊Q8×C61C2311yescharacteristic
313C22⋊Q8×C61C2311yescharacteristic
314C22⋊Q8×C61C2311yescharacteristic
315C22⋊Q8×C61C2311yescharacteristic
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×C61—21no—
325#121×C61D411yescharacteristic
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—
337C4×Q8×C61—21no—
338C4×Q8×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×C61C2311yescharacteristic
360C4×D4×C61C2311yescharacteristic
361C4×D4×C61C2311yescharacteristic
362C4×D4×C61C2311yescharacteristic
363C4×D4×C61C2311yescharacteristic
364C4×D4×C61C2311yescharacteristic
365C4×D4×C61C2311yescharacteristic
366C4×D4×C61C2311yescharacteristic
367C4×D4×C61C2311yescharacteristic
368C4×D4×C61C2311yescharacteristic
369C4×D4×C61C2311yescharacteristic
370C4×D4×C61C2311yescharacteristic
371C4×D4×C61C2311yescharacteristic
372C4×D4×C61C2311yescharacteristic
373#117×C61—21no—
374#117×C61—21no—
375#117×C61—21no—
376#117×C61—21no—
377#117×C61—21no—
378#117×C61—21no—
379#117×C61—21no—
380#117×C61C2311yescharacteristic
381#117×C61C2311yescharacteristic
382#117×C61C2311yescharacteristic
383#117×C61C2311yescharacteristic
384#117×C61C2311yescharacteristic
385#117×C61C2311yescharacteristic
386#117×C61C2311yescharacteristic
387C2×C4⋊C4×C61—21no—
388C2×C4⋊C4×C61—21no—
389C2×C4⋊C4×C61—21no—
390C2×C4⋊C4×C61C2311yescharacteristic
391C2×C4⋊C4×C61C2311yescharacteristic
392C2×C4⋊C4×C61C2311yescharacteristic
393C2×C4⋊C4×C61C2311yescharacteristic
394C2×C22⋊C4×C61—21no—
395C2×C22⋊C4×C61—21no—
396C2×C22⋊C4×C61—21no—
397C2×C22⋊C4×C61—21no—
398C2×C22⋊C4×C61—21no—
399C2×C42×C61C2311yescharacteristic
400#107×C61C2311yescharacteristic
401#107×C61C2311yescharacteristic
402#107×C61C2311yescharacteristic
403#107×C61C2311yescharacteristic
404#107×C61C2311yescharacteristic
405#107×C61C2311yescharacteristic
406#107×C61C2311yescharacteristic
407#107×C61C2311yescharacteristic
408#107×C61C2311yescharacteristic
409#107×C61C2311yescharacteristic
410#107×C61C2311yescharacteristic
411#107×C61C2311yescharacteristic
412#106×C61C2311yescharacteristic
413#106×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
422#106×C61C2311yescharacteristic
423#106×C61C2311yescharacteristic
424C4⋊C8×C61C2311yescharacteristic
425C4⋊C8×C61C2311yescharacteristic
426C4⋊C8×C61C2311yescharacteristic
427C4⋊C8×C61C2311yescharacteristic
428C4⋊C8×C61C2311yescharacteristic
429C4⋊C8×C61C2311yescharacteristic
430C4⋊C8×C61C2311yescharacteristic
431C4⋊C8×C61C2311yescharacteristic
432C4⋊C8×C61C2311yescharacteristic
433C4⋊C8×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#103×C61C2311yescharacteristic
443#103×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
462#102×C61C2311yescharacteristic
463#102×C61C2311yescharacteristic
464#102×C61C2311yescharacteristic
465#102×C61C2311yescharacteristic
466C22⋊C8×C61C2311yescharacteristic
467C22⋊C8×C61C2311yescharacteristic
468C22⋊C8×C61C2311yescharacteristic
469C22⋊C8×C61C2311yescharacteristic
470C22⋊C8×C61C2311yescharacteristic
471C22⋊C8×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—22no—
481#41×C61—41no—
482#41×C61—82no—
483C2×Q8×C61—21no—
484C2×Q8×C61—21no—
485C2×Q8×C61—21no—
486C2×Q8×C61—21no—
487C2×Q8×C61—21no—
488C2×Q8×C61C2×D411yescharacteristic
489C2×Q8×C61C2411yescharacteristic
490C2×Q8×C61C2411yescharacteristic
491C2×D4×C61—22no—
492C2×D4×C61—22no—
493C2×D4×C61—21no—
494C2×D4×C61—21no—
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—41no—
506C2×D4×C61—41no—
507C2×D4×C61—82no—
508C2×D4×C61C2×D411yescharacteristic
509C2×D4×C61C2×D411yescharacteristic
510C2×D4×C61C2×D411yescharacteristic
511C2×D4×C61C2411yescharacteristic
512C2×D4×C61C2411yescharacteristic
513C2×D4×C61C2411yescharacteristic
514C2×D4×C61C2411yescharacteristic
515C22×C4×C61—21no—
516C22×C4×C61—21no—
517C22×C4×C61—21no—
518C22×C4×C61—21no—
519C22×C4×C61—21no—
520C22×C4×C61—21no—
521C22×C4×C61—21no—
522C22×C4×C61—21no—
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—82no—
532C22×C4×C61C2×D411yescharacteristic
533C22×C4×C61C2×D411yescharacteristic
534C22×C4×C61C2411yescharacteristic
535C22×C4×C61C2411yescharacteristic
536C22×C4×C61C2411yescharacteristic
537Q16×C61—41no—
538SD16×C61—22no—
539SD16×C61—41no—
540SD16×C61—41no—
541SD16×C61—41no—
542D8×C61—22no—
543D8×C61—41no—
544D8×C61—41no—
545M16×C61—41no—
546M16×C61—41no—
547M16×C61—41no—
548M16×C61—41no—
549C2×C8×C61—41no—
550C2×C8×C61—41no—
551C2×C8×C61C2411yescharacteristic
552C2×C8×C61C2411yescharacteristic
553C2×C8×C61C2411yescharacteristic
554C2×C8×C61C2411yescharacteristic
555C2×C8×C61C2411yescharacteristic
556C2×C8×C61C2411yescharacteristic
557C2×C8×C61C2411yescharacteristic
558C2×C8×C61C2411yescharacteristic
559C4⋊C4×C61—21no—
560C4⋊C4×C61—21no—
561C4⋊C4×C61—21no—
562C4⋊C4×C61—21no—
563C4⋊C4×C61—21no—
564C4⋊C4×C61—21no—
565C4⋊C4×C61—21no—
566C4⋊C4×C61—21no—
567C4⋊C4×C61—21no—
568C4⋊C4×C61—21no—
569C4⋊C4×C61—21no—
570C4⋊C4×C61—21no—
571C4⋊C4×C61—21no—
572C4⋊C4×C61—21no—
573C4⋊C4×C61—21no—
574C4⋊C4×C61—21no—
575C4⋊C4×C61—21no—
576C4⋊C4×C61—21no—
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×C61C2×D411yescharacteristic
593C4⋊C4×C61C2×D411yescharacteristic
594C4⋊C4×C61C2×D411yescharacteristic
595C4⋊C4×C61C2×D411yescharacteristic
596C4⋊C4×C61C2×D411yescharacteristic
597C4⋊C4×C61C2×D411yescharacteristic
598C4⋊C4×C61C2×D411yescharacteristic
599C4⋊C4×C61C2×D411yescharacteristic
600C4⋊C4×C61C2×D411yescharacteristic
601C4⋊C4×C61C2×D411yescharacteristic
602C4⋊C4×C61C2411yescharacteristic
603C4⋊C4×C61C2411yescharacteristic
604C4⋊C4×C61C2411yescharacteristic
605C4⋊C4×C61C2411yescharacteristic
606C4⋊C4×C61C2411yescharacteristic
607C4⋊C4×C61C2411yescharacteristic
608C4⋊C4×C61C2411yescharacteristic
609C4⋊C4×C61C2411yescharacteristic
610C4⋊C4×C61C2411yescharacteristic
611C4⋊C4×C61C2411yescharacteristic
612C22⋊C4×C61—21no—
613C22⋊C4×C61—21no—
614C22⋊C4×C61—21no—
615C22⋊C4×C61—21no—
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×C61C2×D411yescharacteristic
647C22⋊C4×C61C2×D411yescharacteristic
648C22⋊C4×C61C2×D411yescharacteristic
649C22⋊C4×C61C2×D411yescharacteristic
650C22⋊C4×C61C2×D411yescharacteristic
651C22⋊C4×C61C2×D411yescharacteristic
652C22⋊C4×C61C2×D411yescharacteristic
653C22⋊C4×C61C2×D411yescharacteristic
654C22⋊C4×C61C2×D411yescharacteristic
655C22⋊C4×C61C2×D411yescharacteristic
656C42×C61—21no—
657C42×C61—21no—
658C42×C61—21no—
659C42×C61—21no—
660C42×C61—21no—
661C42×C61—21no—
662C42×C61—21no—
663C42×C61—21no—
664C42×C61—21no—
665C42×C61—21no—
666C42×C61C2×D411yescharacteristic
667C42×C61C2×D411yescharacteristic
668C42×C61C2411yescharacteristic
669C42×C61C2411yescharacteristic
670C42×C61C2411yescharacteristic
671C42×C61C2411yescharacteristic
672C23×C61—21no—
673C23×C61—21no—
674C23×C61—21no—
675C23×C61—21no—
676C23×C61—42no—
677C23×C61—42no—
678C23×C61—42no—
679C23×C61—81no—
680C23×C61—81no—
681C23×C61—81no—
682C23×C61C22×D411yescharacteristic
683C23×C61C22×D411yescharacteristic
684C23×C61C22×D411yescharacteristic
685Q8×C61—21no—
686Q8×C61—21no—
687Q8×C61—21no—
688Q8×C61—21no—
689Q8×C61—41no—
690Q8×C61—81no—
691Q8×C61—81no—
692Q8×C61—81no—
693Q8×C61—81no—
694Q8×C61—81no—
695D4×C61—21no—
696D4×C61—21no—
697D4×C61—21no—
698D4×C61—21no—
699D4×C61—21no—
700D4×C61—21no—
701D4×C61—21no—
702D4×C61—41no—
703D4×C61—41no—
704D4×C61—41no—
705D4×C61—42no—
706D4×C61—42no—
707D4×C61—42no—
708D4×C61—42no—
709D4×C61—81no—
710D4×C61—81no—
711D4×C61—81no—
712D4×C61—81no—
713D4×C61—81no—
714D4×C61—81no—
715D4×C61—81no—
716D4×C61—81no—
717D4×C612−1+412yes—
718C2×C4×C61—21no—
719C2×C4×C61—21no—
720C2×C4×C61—21no—
721C2×C4×C61—21no—
722C2×C4×C61—21no—
723C2×C4×C61—21no—
724C2×C4×C61—21no—
725C2×C4×C61—21no—
726C2×C4×C61—21no—
727C2×C4×C61—21no—
728C2×C4×C61—21no—
729C2×C4×C61—21no—
730C2×C4×C61—21no—
731C2×C4×C61—21no—
732C2×C4×C61—21no—
733C2×C4×C61—21no—
734C2×C4×C61—21no—
735C2×C4×C61—21no—
736C2×C4×C61—41no—
737C2×C4×C61—41no—
738C2×C4×C61—42no—
739C2×C4×C61—42no—
740C2×C4×C61—81no—
741C2×C4×C61—81no—
742C2×C4×C61—81no—
743C2×C4×C61—81no—
744C2×C4×C61—81no—
745C2×C4×C61—81no—
746C2×C4×C61—81no—
747C2×C4×C61—81no—
748C2×C4×C61—81no—
749C2×C4×C61—81no—
750C2×C4×C61—81no—
751C2×C4×C61—81no—
752C2×C4×C61—81no—
753C2×C4×C61—81no—
754C2×C4×C61C22×D411yescharacteristic
755C2×C4×C61C22×D411yescharacteristic
756C2×C4×C61C22×D411yescharacteristic
757C2×C4×C61C22×D411yescharacteristic
758C2×C4×C61C22×D411yescharacteristic
759C2×C4×C61C22×D411yescharacteristic
760C2×C4×C61C22×D411yescharacteristic
761C2×C4×C61C22×D411yescharacteristic
762C2×C4×C61C22×D411yescharacteristic
763C2×C4×C61C22×D411yescharacteristic
764C2×C4×C61C22×D411yescharacteristic
765C2×C4×C61C2511yescharacteristic
766C8×C61—21no—
767C8×C61—21no—
768C8×C61—21no—
769C8×C61—21no—
770C8×C61—21no—
771C8×C61—21no—
772C8×C61—21no—
773C8×C61—21no—
774#62176C6111yesmaximal, characteristic, direct product factor, Sylow
775C22×C61—21no—
776C22×C61—21no—
777C22×C61—21no—
778C22×C61—21no—
779C22×C61—21no—
780C22×C61—21no—
781C22×C61—21no—
782C22×C61—21no—
783C22×C61—21no—
784C22×C61—22no—
785C22×C61—41no—
786C22×C61—41no—
787C22×C61—41no—
788C22×C61—41no—
789C22×C61—41no—
790C22×C61—41no—
791C22×C61—41no—
792C22×C61—41no—
793C22×C61—41no—
794C22×C61—41no—
795C22×C61—41no—
796C22×C61—84no—
797C22×C61—162no—
798C22×C61C23×D411yescharacteristic
799C4×C61—21no—
800C4×C61—21no—
801C4×C61—21no—
802C4×C61—21no—
803C4×C61—21no—
804C4×C61—21no—
805C4×C61—21no—
806C4×C61—21no—
807C4×C61—21no—
808C4×C61—21no—
809C4×C61—21no—
810C4×C61—41no—
811C4×C61—41no—
812C4×C61—41no—
813C4×C61—41no—
814C4×C61—41no—
815C4×C61—41no—
816C4×C61—41no—
817C4×C61—41no—
818C4×C61—41no—
819C4×C61—41no—
820C4×C61—41no—
821C4×C61—41no—
822C4×C61C2×2−1+411yescharacteristic
823C4×C61#58511yescharacteristic
824#3565C2×C6111yescharacteristic, complemented
825#3513C2×C6111yescharacteristic, complemented
826#3388C2×C6111yescharacteristic, complemented
827#3380C2×C6111yescharacteristic, complemented
828#3370C2×C6111yescharacteristic, complemented
829#3365C2×C6111yescharacteristic, complemented
830#3355C2×C6111yescharacteristic, complemented
831#3353C2×C6111yescharacteristic, complemented
832#3352C2×C6111yescharacteristic, complemented
833#3348C2×C6111yescharacteristic, complemented
834#3345C2×C6111yescharacteristic, complemented
835#3337C2×C6111yescharacteristic, complemented
836#3325C2×C6111yescharacteristic, complemented
837#3323C2×C6111yescharacteristic, complemented
838#3322C2×C6111yescharacteristic, complemented
839#3311C2×C6111yescharacteristic, complemented
840#3310C2×C6111yescharacteristic, complemented
841#3297C2×C6111yescharacteristic, complemented
842#3263C2×C6111yescharacteristic, complemented
843#3257C2×C6111yescharacteristic, complemented
844#3256C2×C6111yescharacteristic, complemented
845#3243C2×C6111yescharacteristic, complemented
846#3241C2×C6111yescharacteristic, complemented
847#3233C2×C6111yescharacteristic, complemented
848#3124C2×C6111yescharacteristic, complemented
849#3118C2×C6111yescharacteristic, complemented
850#3105C2×C6111yescharacteristic, complemented
851#3084C2×C6111yescharacteristic, complemented
852#3081C2×C6111yescharacteristic, complemented
853#3077C2×C6111yescharacteristic, complemented
854#2993C2×C6111yescharacteristic, complemented
855C2×C61—41no—
856C2×C61—41no—
857C2×C61—41no—
858C2×C61—42no—
859C2×C61—81no—
860C2×C61—81no—
861C2×C61—81no—
862C2×C61#348911yescharacteristic
863C2×C61#358411yescharacteristic
864C2×C61#358511yescharacteristic
865#563—21no—
866#562—21no—
867#559C22×C6111yescharacteristic
868#557C22×C6111yescharacteristic, complemented
869#556—21no—
870#556C22×C6111yescharacteristic, complemented
871#555C22×C6111yescharacteristic
872#554C22×C6111yescharacteristic
873#554C22×C6111yescharacteristic, complemented
874#553—21no—
875#553C22×C6111yescharacteristic
876#553C22×C6111yescharacteristic, complemented
877#553C22×C6111yescharacteristic, complemented
878#552—21no—
879#552C22×C6111yescharacteristic
880#552C22×C6111yescharacteristic
881#552C22×C6111yescharacteristic, complemented
882#551—21no—
883#551—21no—
884#547C22×C6111yescharacteristic
885#546—21no—
886#546C22×C6111yescharacteristic
887#546C22×C6111yescharacteristic
888D42C22×C6111yescharacteristic
889#544C22×C6111yescharacteristic, complemented
890#544C22×C6111yescharacteristic, complemented
891#542—21no—
892#542—21no—
893#542C22×C6111yescharacteristic
894#542C22×C6111yescharacteristic, complemented
895#542C22×C6111yescharacteristic, complemented
896#541—21no—
897#540C22×C6111yescharacteristic
898#539—21no—
899#539—21no—
900#538—21no—
901#533C22×C6111yescharacteristic, complemented
902#529C22×C6111yescharacteristic
903#529C22×C6111yescharacteristic
904#529C22×C6111yescharacteristic, complemented
905#525—21no—
906C2×#123—21no—
907#520C22×C6111yescharacteristic
908#518C22×C6111yescharacteristic
909C2×C4×D4C22×C6111yescharacteristic
910#501C22×C6111yescharacteristic, complemented
911#501C22×C6111yescharacteristic, complemented
912#500C22×C6111yescharacteristic, complemented
913#499C22×C6111yescharacteristic, complemented
914#499C22×C6111yescharacteristic, complemented
915#499C22×C6111yescharacteristic, complemented
916#490C22×C6111yescharacteristic
917#489C22×C6111yescharacteristic, complemented
918#488C22×C6111yescharacteristic, complemented
919#488C22×C6111yescharacteristic, complemented
920#488C22×C6111yescharacteristic, complemented
921#486C22×C6111yescharacteristic
922#485C22×C6111yescharacteristic, complemented
923#485C22×C6111yescharacteristic, complemented
924#485C22×C6111yescharacteristic, complemented
925#485C22×C6111yescharacteristic, complemented
926#484C22×C6111yescharacteristic, complemented
927#484C22×C6111yescharacteristic, complemented
928#484C22×C6111yescharacteristic, complemented
929#482C22×C6111yescharacteristic
930#482C22×C6111yescharacteristic
931#482C22×C6111yescharacteristic
932#482C22×C6111yescharacteristic, complemented
933#482C22×C6111yescharacteristic, complemented
934#482C22×C6111yescharacteristic, complemented
935#481C22×C6111yescharacteristic, complemented
936#481C22×C6111yescharacteristic, complemented
937#480C22×C6111yescharacteristic
938#480C22×C6111yescharacteristic, complemented
939#480C22×C6111yescharacteristic, complemented
940#479C22×C6111yescharacteristic, complemented
941#479C22×C6111yescharacteristic, complemented
942#479C22×C6111yescharacteristic, complemented
943#479C22×C6111yescharacteristic, complemented
944#478C22×C6111yescharacteristic
945#478C22×C6111yescharacteristic
946#478C22×C6111yescharacteristic
947#478C22×C6111yescharacteristic
948#478C22×C6111yescharacteristic
949#478C22×C6111yescharacteristic, complemented
950#478C22×C6111yescharacteristic, complemented
951#478C22×C6111yescharacteristic, complemented
952#478C22×C6111yescharacteristic, complemented
953#478C22×C6111yescharacteristic, complemented
954#478C22×C6111yescharacteristic, complemented
955#478C22×C6111yescharacteristic, complemented
956#477C22×C6111yescharacteristic, complemented
957#476C22×C6111yescharacteristic
958#476C22×C6111yescharacteristic
959#476C22×C6111yescharacteristic
960#476C22×C6111yescharacteristic, complemented
961#476C22×C6111yescharacteristic, complemented
962#476C22×C6111yescharacteristic, complemented
963#475C22×C6111yescharacteristic, complemented
964#475C22×C6111yescharacteristic, complemented
965#475C22×C6111yescharacteristic, complemented
966#474C22×C6111yescharacteristic
967#474C22×C6111yescharacteristic, complemented
968#474C22×C6111yescharacteristic, complemented
969#474C22×C6111yescharacteristic, complemented
970#470C22×C6111yescharacteristic, complemented
971#470C22×C6111yescharacteristic, complemented
972#469C22×C6111yescharacteristic
973#469C22×C6111yescharacteristic
974#469C22×C6111yescharacteristic, complemented
975#468C22×C6111yescharacteristic
976#468C22×C6111yescharacteristic, complemented
977#468C22×C6111yescharacteristic, complemented
978#466C22×C6111yescharacteristic, complemented
979#465C22×C6111yescharacteristic
980#465C22×C6111yescharacteristic, complemented
981#465C22×C6111yescharacteristic, complemented
982#464C22×C6111yescharacteristic, complemented
983#464C22×C6111yescharacteristic, complemented
984#464C22×C6111yescharacteristic, complemented
985#463C22×C6111yescharacteristic
986#463C22×C6111yescharacteristic, complemented
987#463C22×C6111yescharacteristic, complemented
988#463C22×C6111yescharacteristic, complemented
989#463C22×C6111yescharacteristic, complemented
990#460C22×C6111yescharacteristic
991#459C22×C6111yescharacteristic
992#452C22×C6111yescharacteristic
993#450C22×C6111yescharacteristic
994#450C22×C6111yescharacteristic
995#449C22×C6111yescharacteristic
996#447C22×C6111yescharacteristic
997#447C22×C6111yescharacteristic
998#446C22×C6111yescharacteristic, complemented
999C8×Q8C22×C6111yescharacteristic, complemented
1000#442C22×C6111yescharacteristic, complemented
1001#440C22×C6111yescharacteristic
1002#440C22×C6111yescharacteristic
1003#440C22×C6111yescharacteristic, complemented
1004C4×Q16C22×C6111yescharacteristic, complemented
1005C4×SD16C22×C6111yescharacteristic
1006C4×SD16C22×C6111yescharacteristic, complemented
1007C4×SD16C22×C6111yescharacteristic, complemented
1008C4×D8C22×C6111yescharacteristic
1009C4×D8C22×C6111yescharacteristic
1010C4×D8C22×C6111yescharacteristic
1011C4×D8C22×C6111yescharacteristic, complemented
1012#436C22×C6111yescharacteristic
1013#436C22×C6111yescharacteristic, complemented
1014#436C22×C6111yescharacteristic, complemented
1015#435C22×C6111yescharacteristic
1016#435C22×C6111yescharacteristic, complemented
1017C8×D4C22×C6111yescharacteristic, complemented
1018#433C22×C6111yescharacteristic, complemented
1019#433C22×C6111yescharacteristic, complemented
1020#431C22×C6111yescharacteristic, complemented
1021#428C22×C6111yescharacteristic, complemented
1022#428C22×C6111yescharacteristic, complemented
1023#428C22×C6111yescharacteristic, complemented
1024#428C22×C6111yescharacteristic, complemented
1025#427C22×C6111yescharacteristic, complemented
1026C2×#106C22×C6111yescharacteristic, complemented
1027#424C22×C6111yescharacteristic, complemented
1028#424C22×C6111yescharacteristic, complemented
1029#423C22×C6111yescharacteristic, complemented
1030#418C22×C6111yescharacteristic
1031#418C22×C6111yescharacteristic
1032#418C22×C6111yescharacteristic
1033#417C22×C6111yescharacteristic
1034#416C22×C6111yescharacteristic
1035C2×#102C22×C6111yescharacteristic
1036C61#6217611yescharacteristic, direct product factor, Sylow
1037C2×#41—21no—
1038C2×#41C23×C6111yescharacteristic
1039C22×D4—21no—
1040C22×D4C23×C6111yescharacteristic
1041C22×D4C23×C6111yescharacteristic
1042C23×C4—21no—
1043C2×Q16C23×C6111yescharacteristic
1044C2×SD16C23×C6111yescharacteristic
1045C2×SD16C23×C6111yescharacteristic
1046C2×SD16C23×C6111yescharacteristic
1047C2×SD16C23×C6111yescharacteristic
1048C2×D8C23×C6111yescharacteristic
1049C2×D8C23×C6111yescharacteristic
1050C2×D8C23×C6111yescharacteristic
1051C2×M16C23×C6111yescharacteristic
1052C2×M16C23×C6111yescharacteristic
1053C2×M16C23×C6111yescharacteristic
1054C2×M16C23×C6111yescharacteristic
1055C22×C8C23×C6111yescharacteristic
1056C22×C8C23×C6111yescharacteristic
1057C4⋊Q8—21no—
1058C4⋊Q8—21no—
1059C4⋊Q8—21no—
1060C4⋊Q8C23×C6111yescharacteristic
1061C4⋊Q8C23×C6111yescharacteristic
1062C4⋊Q8C23×C6111yescharacteristic
1063C4⋊Q8C23×C6111yescharacteristic
1064C4⋊Q8C23×C6111yescharacteristic
1065#127C23×C6111yescharacteristic
1066#126—21no—
1067#126—21no—
1068#126—21no—
1069#126—21no—
1070#126—21no—
1071#126—21no—
1072#126—21no—
1073#126—21no—
1074#126—21no—
1075#126—21no—
1076#126—21no—
1077#126—21no—
1078#126—21no—
1079#126D4×C6111yescharacteristic
1080#126D4×C6111yescharacteristic
1081#125—21no—
1082#125—21no—
1083#125—21no—
1084#125—21no—
1085#125—21no—
1086#125—21no—
1087#125—21no—
1088#125D4×C6111yescharacteristic
1089#125C23×C6111yescharacteristic
1090#125C23×C6111yescharacteristic
1091#125C23×C6111yescharacteristic
1092#125C23×C6111yescharacteristic
1093#125C23×C6111yescharacteristic
1094#125C23×C6111yescharacteristic
1095#125C23×C6111yescharacteristic
1096#124—21no—
1097#124—21no—
1098#124—21no—
1099#124—21no—
1100#124—21no—
1101#124—21no—
1102#124—21no—
1103#124D4×C6111yescharacteristic
1104#124C23×C6111yescharacteristic
1105#124C23×C6111yescharacteristic
1106#124C23×C6111yescharacteristic
1107#123—21no—
1108#123—21no—
1109#123—21no—
1110#123—21no—
1111#123—21no—
1112#123—21no—
1113#123—21no—
1114#123—21no—
1115#123—21no—
1116#123—21no—
1117#123—21no—
1118#123—21no—
1119#123—21no—
1120#123—21no—
1121#123—21no—
1122#123—21no—
1123#123—21no—
1124#123—21no—
1125#123—21no—
1126#123D4×C6111yescharacteristic
1127#123D4×C6111yescharacteristic
1128C22⋊Q8—21no—
1129C22⋊Q8—21no—
1130C22⋊Q8—21no—
1131C22⋊Q8—21no—
1132C22⋊Q8—21no—
1133C22⋊Q8—21no—
1134C22⋊Q8—21no—
1135C22⋊Q8—21no—
1136C22⋊Q8—21no—
1137C22⋊Q8—21no—
1138C22⋊Q8—21no—
1139C22⋊Q8—21no—
1140C22⋊Q8—21no—
1141C22⋊Q8—21no—
1142C22⋊Q8—21no—
1143C22⋊Q8—21no—
1144C22⋊Q8D4×C6111yescharacteristic
1145C22⋊Q8C23×C6111yescharacteristic
1146C22⋊Q8C23×C6111yescharacteristic
1147C22⋊Q8C23×C6111yescharacteristic
1148C22⋊Q8C23×C6111yescharacteristic
1149C22⋊Q8C23×C6111yescharacteristic
1150#121—21no—
1151#121—21no—
1152#121—21no—
1153#121—21no—
1154#121—21no—
1155#121—21no—
1156#121—21no—
1157#121—21no—
1158#121—21no—
1159#121D4×C6111yescharacteristic
1160#121C23×C6111yescharacteristic
1161#121C23×C6111yescharacteristic
1162#121C23×C6111yescharacteristic
1163#121C23×C6111yescharacteristic
1164#121C23×C6111yescharacteristic
1165#121C23×C6111yescharacteristic
1166#121C23×C6111yescharacteristic
1167#120—21no—
1168#120—21no—
1169#120—21no—
1170#120—21no—
1171C4×Q8—21no—
1172C4×Q8—21no—
1173C4×Q8—21no—
1174C4×Q8—21no—
1175C4×Q8C23×C6111yescharacteristic
1176C4×Q8C23×C6111yescharacteristic
1177C4×Q8C23×C6111yescharacteristic
1178C4×Q8C23×C6111yescharacteristic
1179C4×Q8C23×C6111yescharacteristic
1180C4×Q8C23×C6111yescharacteristic
1181C4×D4—21no—
1182C4×D4—21no—
1183C4×D4—21no—
1184C4×D4—21no—
1185C4×D4—21no—
1186C4×D4—21no—
1187C4×D4—21no—
1188C4×D4—21no—
1189C4×D4—21no—
1190C4×D4—21no—
1191C4×D4—21no—
1192C4×D4—21no—
1193C4×D4C23×C6111yescharacteristic
1194C4×D4C23×C6111yescharacteristic
1195C4×D4C23×C6111yescharacteristic
1196C4×D4C23×C6111yescharacteristic
1197C4×D4C23×C6111yescharacteristic
1198C4×D4C23×C6111yescharacteristic
1199C4×D4C23×C6111yescharacteristic
1200C4×D4C23×C6111yescharacteristic
1201C4×D4C23×C6111yescharacteristic
1202C4×D4C23×C6111yescharacteristic
1203C4×D4C23×C6111yescharacteristic
1204C4×D4C23×C6111yescharacteristic
1205C4×D4C23×C6111yescharacteristic
1206C4×D4C23×C6111yescharacteristic
1207#117—21no—
1208#117—21no—
1209#117—21no—
1210#117—21no—
1211#117—21no—
1212#117—21no—
1213#117—21no—
1214#117C23×C6111yescharacteristic
1215#117C23×C6111yescharacteristic
1216#117C23×C6111yescharacteristic
1217#117C23×C6111yescharacteristic
1218#117C23×C6111yescharacteristic
1219#117C23×C6111yescharacteristic
1220#117C23×C6111yescharacteristic
1221C2×C4⋊C4—21no—
1222C2×C4⋊C4—21no—
1223C2×C4⋊C4—21no—
1224C2×C4⋊C4C23×C6111yescharacteristic
1225C2×C4⋊C4C23×C6111yescharacteristic
1226C2×C4⋊C4C23×C6111yescharacteristic
1227C2×C4⋊C4C23×C6111yescharacteristic
1228C2×C22⋊C4—21no—
1229C2×C22⋊C4—21no—
1230C2×C22⋊C4—21no—
1231C2×C22⋊C4—21no—
1232C2×C22⋊C4—21no—
1233C2×C42C23×C6111yescharacteristic
1234#107C23×C6111yescharacteristic
1235#107C23×C6111yescharacteristic
1236#107C23×C6111yescharacteristic
1237#107C23×C6111yescharacteristic
1238#107C23×C6111yescharacteristic
1239#107C23×C6111yescharacteristic
1240#107C23×C6111yescharacteristic
1241#107C23×C6111yescharacteristic
1242#107C23×C6111yescharacteristic
1243#107C23×C6111yescharacteristic
1244#107C23×C6111yescharacteristic
1245#107C23×C6111yescharacteristic
1246#106C23×C6111yescharacteristic
1247#106C23×C6111yescharacteristic
1248#106C23×C6111yescharacteristic
1249#106C23×C6111yescharacteristic
1250#106C23×C6111yescharacteristic
1251#106C23×C6111yescharacteristic
1252#106C23×C6111yescharacteristic
1253#106C23×C6111yescharacteristic
1254#106C23×C6111yescharacteristic
1255#106C23×C6111yescharacteristic
1256#106C23×C6111yescharacteristic
1257#106C23×C6111yescharacteristic
1258C4⋊C8C23×C6111yescharacteristic
1259C4⋊C8C23×C6111yescharacteristic
1260C4⋊C8C23×C6111yescharacteristic
1261C4⋊C8C23×C6111yescharacteristic
1262C4⋊C8C23×C6111yescharacteristic
1263C4⋊C8C23×C6111yescharacteristic
1264C4⋊C8C23×C6111yescharacteristic
1265C4⋊C8C23×C6111yescharacteristic
1266C4⋊C8C23×C6111yescharacteristic
1267C4⋊C8C23×C6111yescharacteristic
1268#103C23×C6111yescharacteristic
1269#103C23×C6111yescharacteristic
1270#103C23×C6111yescharacteristic
1271#103C23×C6111yescharacteristic
1272#103C23×C6111yescharacteristic
1273#103C23×C6111yescharacteristic
1274#103C23×C6111yescharacteristic
1275#103C23×C6111yescharacteristic
1276#103C23×C6111yescharacteristic
1277#103C23×C6111yescharacteristic
1278#102C23×C6111yescharacteristic
1279#102C23×C6111yescharacteristic
1280#102C23×C6111yescharacteristic
1281#102C23×C6111yescharacteristic
1282#102C23×C6111yescharacteristic
1283#102C23×C6111yescharacteristic
1284#102C23×C6111yescharacteristic
1285#102C23×C6111yescharacteristic
1286#102C23×C6111yescharacteristic
1287#102C23×C6111yescharacteristic
1288#102C23×C6111yescharacteristic
1289#102C23×C6111yescharacteristic
1290#102C23×C6111yescharacteristic
1291#102C23×C6111yescharacteristic
1292#102C23×C6111yescharacteristic
1293#102C23×C6111yescharacteristic
1294#102C23×C6111yescharacteristic
1295#102C23×C6111yescharacteristic
1296#102C23×C6111yescharacteristic
1297#102C23×C6111yescharacteristic
1298#102C23×C6111yescharacteristic
1299#102C23×C6111yescharacteristic
1300C22⋊C8C23×C6111yescharacteristic
1301C22⋊C8C23×C6111yescharacteristic
1302C22⋊C8C23×C6111yescharacteristic
1303C22⋊C8C23×C6111yescharacteristic
1304C22⋊C8C23×C6111yescharacteristic
1305C22⋊C8C23×C6111yescharacteristic
1306#97C23×C6111yescharacteristic
1307#97C23×C6111yescharacteristic
1308C4×C8C23×C6111yescharacteristic
1309C4×C8C23×C6111yescharacteristic
1310C4×C8C23×C6111yescharacteristic
1311C4×C8C23×C6111yescharacteristic
1312C24—21no—
1313C24—21no—
1314#41—22no—
1315#41—41no—
1316#41—82no—
1317C2×Q8—21no—
1318C2×Q8—21no—
1319C2×Q8—21no—
1320C2×Q8—21no—
1321C2×Q8—21no—
1322C2×Q8C2×D4×C6111yescharacteristic
1323C2×Q8C24×C6111yescharacteristic
1324C2×Q8C24×C6111yescharacteristic
1325C2×D4—22no—
1326C2×D4—22no—
1327C2×D4—21no—
1328C2×D4—21no—
1329C2×D4—21no—
1330C2×D4—21no—
1331C2×D4—21no—
1332C2×D4—21no—
1333C2×D4—21no—
1334C2×D4—21no—
1335C2×D4—21no—
1336C2×D4—21no—
1337C2×D4—21no—
1338C2×D4—21no—
1339C2×D4—41no—
1340C2×D4—41no—
1341C2×D4—82no—
1342C2×D4C2×D4×C6111yescharacteristic
1343C2×D4C2×D4×C6111yescharacteristic
1344C2×D4C2×D4×C6111yescharacteristic
1345C2×D4C24×C6111yescharacteristic
1346C2×D4C24×C6111yescharacteristic
1347C2×D4C24×C6111yescharacteristic
1348C2×D4C24×C6111yescharacteristic
1349C22×C4—21no—
1350C22×C4—21no—
1351C22×C4—21no—
1352C22×C4—21no—
1353C22×C4—21no—
1354C22×C4—21no—
1355C22×C4—21no—
1356C22×C4—21no—
1357C22×C4—21no—
1358C22×C4—21no—
1359C22×C4—21no—
1360C22×C4—21no—
1361C22×C4—21no—
1362C22×C4—21no—
1363C22×C4—21no—
1364C22×C4—21no—
1365C22×C4—82no—
1366C22×C4C2×D4×C6111yescharacteristic
1367C22×C4C2×D4×C6111yescharacteristic
1368C22×C4C24×C6111yescharacteristic
1369C22×C4C24×C6111yescharacteristic
1370C22×C4C24×C6111yescharacteristic
1371Q16—41no—
1372SD16—22no—
1373SD16—41no—
1374SD16—41no—
1375SD16—41no—
1376D8—22no—
1377D8—41no—
1378D8—41no—
1379M16—41no—
1380M16—41no—
1381M16—41no—
1382M16—41no—
1383C2×C8—41no—
1384C2×C8—41no—
1385C2×C8C24×C6111yescharacteristic
1386C2×C8C24×C6111yescharacteristic
1387C2×C8C24×C6111yescharacteristic
1388C2×C8C24×C6111yescharacteristic
1389C2×C8C24×C6111yescharacteristic
1390C2×C8C24×C6111yescharacteristic
1391C2×C8C24×C6111yescharacteristic
1392C2×C8C24×C6111yescharacteristic
1393C4⋊C4—21no—
1394C4⋊C4—21no—
1395C4⋊C4—21no—
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—21no—
1401C4⋊C4—21no—
1402C4⋊C4—21no—
1403C4⋊C4—21no—
1404C4⋊C4—21no—
1405C4⋊C4—21no—
1406C4⋊C4—21no—
1407C4⋊C4—21no—
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—21no—
1415C4⋊C4—21no—
1416C4⋊C4—21no—
1417C4⋊C4—21no—
1418C4⋊C4—21no—
1419C4⋊C4—21no—
1420C4⋊C4—21no—
1421C4⋊C4—21no—
1422C4⋊C4—21no—
1423C4⋊C4—21no—
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4C2×D4×C6111yescharacteristic
1427C4⋊C4C2×D4×C6111yescharacteristic
1428C4⋊C4C2×D4×C6111yescharacteristic
1429C4⋊C4C2×D4×C6111yescharacteristic
1430C4⋊C4C2×D4×C6111yescharacteristic
1431C4⋊C4C2×D4×C6111yescharacteristic
1432C4⋊C4C2×D4×C6111yescharacteristic
1433C4⋊C4C2×D4×C6111yescharacteristic
1434C4⋊C4C2×D4×C6111yescharacteristic
1435C4⋊C4C2×D4×C6111yescharacteristic
1436C4⋊C4C24×C6111yescharacteristic
1437C4⋊C4C24×C6111yescharacteristic
1438C4⋊C4C24×C6111yescharacteristic
1439C4⋊C4C24×C6111yescharacteristic
1440C4⋊C4C24×C6111yescharacteristic
1441C4⋊C4C24×C6111yescharacteristic
1442C4⋊C4C24×C6111yescharacteristic
1443C4⋊C4C24×C6111yescharacteristic
1444C4⋊C4C24×C6111yescharacteristic
1445C4⋊C4C24×C6111yescharacteristic
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—21no—
1453C22⋊C4—21no—
1454C22⋊C4—21no—
1455C22⋊C4—21no—
1456C22⋊C4—21no—
1457C22⋊C4—21no—
1458C22⋊C4—21no—
1459C22⋊C4—21no—
1460C22⋊C4—21no—
1461C22⋊C4—21no—
1462C22⋊C4—21no—
1463C22⋊C4—21no—
1464C22⋊C4—21no—
1465C22⋊C4—21no—
1466C22⋊C4—21no—
1467C22⋊C4—21no—
1468C22⋊C4—21no—
1469C22⋊C4—21no—
1470C22⋊C4—21no—
1471C22⋊C4—21no—
1472C22⋊C4—21no—
1473C22⋊C4—21no—
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—21no—
1477C22⋊C4—21no—
1478C22⋊C4—21no—
1479C22⋊C4—21no—
1480C22⋊C4C2×D4×C6111yescharacteristic
1481C22⋊C4C2×D4×C6111yescharacteristic
1482C22⋊C4C2×D4×C6111yescharacteristic
1483C22⋊C4C2×D4×C6111yescharacteristic
1484C22⋊C4C2×D4×C6111yescharacteristic
1485C22⋊C4C2×D4×C6111yescharacteristic
1486C22⋊C4C2×D4×C6111yescharacteristic
1487C22⋊C4C2×D4×C6111yescharacteristic
1488C22⋊C4C2×D4×C6111yescharacteristic
1489C22⋊C4C2×D4×C6111yescharacteristic
1490C42—21no—
1491C42—21no—
1492C42—21no—
1493C42—21no—
1494C42—21no—
1495C42—21no—
1496C42—21no—
1497C42—21no—
1498C42—21no—
1499C42—21no—
1500C42C2×D4×C6111yescharacteristic
1501C42C2×D4×C6111yescharacteristic
1502C42C24×C6111yescharacteristic
1503C42C24×C6111yescharacteristic
1504C42C24×C6111yescharacteristic
1505C42C24×C6111yescharacteristic
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—42no—
1511C23—42no—
1512C23—42no—
1513C23—81no—
1514C23—81no—
1515C23—81no—
1516C23C22×D4×C6111yescharacteristic
1517C23C22×D4×C6111yescharacteristic
1518C23C22×D4×C6111yescharacteristic
1519Q8—21no—
1520Q8—21no—
1521Q8—21no—
1522Q8—21no—
1523Q8—41no—
1524Q8—81no—
1525Q8—81no—
1526Q8—81no—
1527Q8—81no—
1528Q8—81no—
1529D4—21no—
1530D4—21no—
1531D4—21no—
1532D4—21no—
1533D4—21no—
1534D4—21no—
1535D4—21no—
1536D4—41no—
1537D4—41no—
1538D4—41no—
1539D4—42no—
1540D4—42no—
1541D4—42no—
1542D4—42no—
1543D4—81no—
1544D4—81no—
1545D4—81no—
1546D4—81no—
1547D4—81no—
1548D4—81no—
1549D4—81no—
1550D4—81no—
1551D42−1+4×C6112yes—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—41no—
1571C2×C4—41no—
1572C2×C4—42no—
1573C2×C4—42no—
1574C2×C4—81no—
1575C2×C4—81no—
1576C2×C4—81no—
1577C2×C4—81no—
1578C2×C4—81no—
1579C2×C4—81no—
1580C2×C4—81no—
1581C2×C4—81no—
1582C2×C4—81no—
1583C2×C4—81no—
1584C2×C4—81no—
1585C2×C4—81no—
1586C2×C4—81no—
1587C2×C4—81no—
1588C2×C4C22×D4×C6111yescharacteristic
1589C2×C4C22×D4×C6111yescharacteristic
1590C2×C4C22×D4×C6111yescharacteristic
1591C2×C4C22×D4×C6111yescharacteristic
1592C2×C4C22×D4×C6111yescharacteristic
1593C2×C4C22×D4×C6111yescharacteristic
1594C2×C4C22×D4×C6111yescharacteristic
1595C2×C4C22×D4×C6111yescharacteristic
1596C2×C4C22×D4×C6111yescharacteristic
1597C2×C4C22×D4×C6111yescharacteristic
1598C2×C4C22×D4×C6111yescharacteristic
1599C2×C4C25×C6111yescharacteristic
1600C8—21no—
1601C8—21no—
1602C8—21no—
1603C8—21no—
1604C8—21no—
1605C8—21no—
1606C8—21no—
1607C8—21no—
1608C22—21no—
1609C22—21no—
1610C22—21no—
1611C22—21no—
1612C22—21no—
1613C22—21no—
1614C22—21no—
1615C22—21no—
1616C22—21no—
1617C22—22no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—84no—
1630C22—162no—
1631C22C23×D4×C6111yescharacteristic
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—21no—
1637C4—21no—
1638C4—21no—
1639C4—21no—
1640C4—21no—
1641C4—21no—
1642C4—21no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4C2×2−1+4×C6111yescharacteristic
1656C4C61×#58511yescharacteristic
1657C2—41no—
1658C2—41no—
1659C2—41no—
1660C2—42no—
1661C2—81no—
1662C2—81no—
1663C2—81no—
1664C2C61×#348911yescharacteristic
1665C2C61×#358411yescharacteristic
1666C2C61×#358511yescharacteristic
subgroupG/H
center, socleC22×C61C23×D4
commutator, Frattini, cosocleC2×C4C25×C61
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C61 ◁ C61×#529 ◁ G

Complements

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

NH ≅ G/Ntype
1. C61×#3565C2semidirect
2. C61×#3513C2semidirect
3. C61×#3388C2semidirect
4. C61×#3380C2semidirect
5. C61×#3370C2semidirect
6. C61×#3365C2semidirect
7. C61×#3355C2semidirect
8. C61×#3353C2semidirect
9. C61×#3352C2semidirect
10. C61×#3348C2semidirect
11. C61×#3345C2semidirect
12. C61×#3337C2semidirect
13. C61×#3325C2semidirect
14. C61×#3323C2semidirect
15. C61×#3322C2semidirect
16. C61×#3311C2semidirect
17. C61×#3310C2semidirect
18. C61×#3297C2semidirect
19. C61×#3263C2semidirect
20. C61×#3257C2semidirect
21. C61×#3256C2semidirect
22. C61×#3243C2semidirect
23. C61×#3241C2semidirect
24. C61×#3233C2semidirect
25. C61×#3124C2semidirect
26. C61×#3118C2semidirect
27. C61×#3105C2semidirect
28. C61×#3084C2semidirect
29. C61×#3081C2semidirect
30. C61×#3077C2semidirect
31. C61×#2993C2semidirect
35. C61×#557C22semidirect
37. C61×#556C22semidirect
40. C61×#554C22semidirect
43. C61×#553C22semidirect
44. C61×#553C22semidirect
48. C61×#552C22semidirect
56. C61×#544C22semidirect
57. C61×#544C22semidirect
61. C61×#542C22semidirect
62. C61×#542C22semidirect
68. C61×#533C22semidirect
71. C61×#529C22semidirect
77. C61×#501C22semidirect
78. C61×#501C22semidirect
79. C61×#500C22semidirect
80. C61×#499C22semidirect
81. C61×#499C22semidirect
82. C61×#499C22semidirect
84. C61×#489C22semidirect
85. C61×#488C22semidirect
86. C61×#488C22semidirect
87. C61×#488C22semidirect
89. C61×#485C22semidirect
90. C61×#485C22semidirect
91. C61×#485C22semidirect
92. C61×#485C22semidirect
93. C61×#484C22semidirect
94. C61×#484C22semidirect
95. C61×#484C22semidirect
99. C61×#482C22semidirect
100. C61×#482C22semidirect
101. C61×#482C22semidirect
102. C61×#481C22semidirect
103. C61×#481C22semidirect
105. C61×#480C22semidirect
106. C61×#480C22semidirect
107. C61×#479C22semidirect
108. C61×#479C22semidirect
109. C61×#479C22semidirect
110. C61×#479C22semidirect
116. C61×#478C22semidirect
117. C61×#478C22semidirect
118. C61×#478C22semidirect
119. C61×#478C22semidirect
120. C61×#478C22semidirect
121. C61×#478C22semidirect
122. C61×#478C22semidirect
123. C61×#477C22semidirect
127. C61×#476C22semidirect
128. C61×#476C22semidirect
129. C61×#476C22semidirect
130. C61×#475C22semidirect
131. C61×#475C22semidirect
132. C61×#475C22semidirect
134. C61×#474C22semidirect
135. C61×#474C22semidirect
136. C61×#474C22semidirect
137. C61×#470C22semidirect
138. C61×#470C22semidirect
141. C61×#469C22semidirect
143. C61×#468C22semidirect
144. C61×#468C22semidirect
145. C61×#466C22semidirect
147. C61×#465C22semidirect
148. C61×#465C22semidirect
149. C61×#464C22semidirect
150. C61×#464C22semidirect
151. C61×#464C22semidirect
153. C61×#463C22semidirect
154. C61×#463C22semidirect
155. C61×#463C22semidirect
156. C61×#463C22semidirect
165. C61×#446C22semidirect
166. C8×Q8×C61C22semidirect
167. C61×#442C22semidirect
170. C61×#440C22semidirect
171. C4×Q16×C61C22semidirect
173. C4×SD16×C61C22semidirect
174. C4×SD16×C61C22semidirect
178. C4×D8×C61C22semidirect
180. C61×#436C22semidirect
181. C61×#436C22semidirect
183. C61×#435C22semidirect
184. C8×D4×C61C22semidirect
185. C61×#433C22semidirect
186. C61×#433C22semidirect
187. C61×#431C22semidirect
188. C61×#428C22semidirect
189. C61×#428C22semidirect
190. C61×#428C22semidirect
191. C61×#428C22semidirect
192. C61×#427C22semidirect
193. C2×#106×C61C22semidirect
194. C61×#424C22semidirect
195. C61×#424C22semidirect
196. C61×#423C22semidirect
774. #62176C61direct (N × H)
824. #3565C2×C61semidirect
825. #3513C2×C61semidirect
826. #3388C2×C61semidirect
827. #3380C2×C61semidirect
828. #3370C2×C61semidirect
829. #3365C2×C61semidirect
830. #3355C2×C61semidirect
831. #3353C2×C61semidirect
832. #3352C2×C61semidirect
833. #3348C2×C61semidirect
834. #3345C2×C61semidirect
835. #3337C2×C61semidirect
836. #3325C2×C61semidirect
837. #3323C2×C61semidirect
838. #3322C2×C61semidirect
839. #3311C2×C61semidirect
840. #3310C2×C61semidirect
841. #3297C2×C61semidirect
842. #3263C2×C61semidirect
843. #3257C2×C61semidirect
844. #3256C2×C61semidirect
845. #3243C2×C61semidirect
846. #3241C2×C61semidirect
847. #3233C2×C61semidirect
848. #3124C2×C61semidirect
849. #3118C2×C61semidirect
850. #3105C2×C61semidirect
851. #3084C2×C61semidirect
852. #3081C2×C61semidirect
853. #3077C2×C61semidirect
854. #2993C2×C61semidirect
868. #557C22×C61semidirect
870. #556C22×C61semidirect
873. #554C22×C61semidirect
876. #553C22×C61semidirect
877. #553C22×C61semidirect
881. #552C22×C61semidirect
889. #544C22×C61semidirect
890. #544C22×C61semidirect
894. #542C22×C61semidirect
895. #542C22×C61semidirect
901. #533C22×C61semidirect
904. #529C22×C61semidirect
910. #501C22×C61semidirect
911. #501C22×C61semidirect
912. #500C22×C61semidirect
913. #499C22×C61semidirect
914. #499C22×C61semidirect
915. #499C22×C61semidirect
917. #489C22×C61semidirect
918. #488C22×C61semidirect
919. #488C22×C61semidirect
920. #488C22×C61semidirect
922. #485C22×C61semidirect
923. #485C22×C61semidirect
924. #485C22×C61semidirect
925. #485C22×C61semidirect
926. #484C22×C61semidirect
927. #484C22×C61semidirect
928. #484C22×C61semidirect
932. #482C22×C61semidirect
933. #482C22×C61semidirect
934. #482C22×C61semidirect
935. #481C22×C61semidirect
936. #481C22×C61semidirect
938. #480C22×C61semidirect
939. #480C22×C61semidirect
940. #479C22×C61semidirect
941. #479C22×C61semidirect
942. #479C22×C61semidirect
943. #479C22×C61semidirect
949. #478C22×C61semidirect
950. #478C22×C61semidirect
951. #478C22×C61semidirect
952. #478C22×C61semidirect
953. #478C22×C61semidirect
954. #478C22×C61semidirect
955. #478C22×C61semidirect
956. #477C22×C61semidirect
960. #476C22×C61semidirect
961. #476C22×C61semidirect
962. #476C22×C61semidirect
963. #475C22×C61semidirect
964. #475C22×C61semidirect
965. #475C22×C61semidirect
967. #474C22×C61semidirect
968. #474C22×C61semidirect
969. #474C22×C61semidirect
970. #470C22×C61semidirect
971. #470C22×C61semidirect
974. #469C22×C61semidirect
976. #468C22×C61semidirect
977. #468C22×C61semidirect
978. #466C22×C61semidirect
980. #465C22×C61semidirect
981. #465C22×C61semidirect
982. #464C22×C61semidirect
983. #464C22×C61semidirect
984. #464C22×C61semidirect
986. #463C22×C61semidirect
987. #463C22×C61semidirect
988. #463C22×C61semidirect
989. #463C22×C61semidirect
998. #446C22×C61semidirect
999. C8×Q8C22×C61semidirect
1000. #442C22×C61semidirect
1003. #440C22×C61semidirect
1004. C4×Q16C22×C61semidirect
1006. C4×SD16C22×C61semidirect
1007. C4×SD16C22×C61semidirect
1011. C4×D8C22×C61semidirect
1013. #436C22×C61semidirect
1014. #436C22×C61semidirect
1016. #435C22×C61semidirect
1017. C8×D4C22×C61semidirect
1018. #433C22×C61semidirect
1019. #433C22×C61semidirect
1020. #431C22×C61semidirect
1021. #428C22×C61semidirect
1022. #428C22×C61semidirect
1023. #428C22×C61semidirect
1024. #428C22×C61semidirect
1025. #427C22×C61semidirect
1026. C2×#106C22×C61semidirect
1027. #424C22×C61semidirect
1028. #424C22×C61semidirect
1029. #423C22×C61semidirect
1036. C61#62176direct (N × H)

Maximal subgroups

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

subgroupindex
C61×#35652
C61×#35132
C61×#33882
C61×#33802
C61×#33702
C61×#33652
C61×#33552
C61×#33532
C61×#33522
C61×#33482
C61×#33452
C61×#33372
C61×#33252
C61×#33232
C61×#33222
C61×#33112
C61×#33102
C61×#32972
C61×#32632
C61×#32572
C61×#32562
C61×#32432
C61×#32412
C61×#32332
C61×#31242
C61×#31182
C61×#31052
C61×#30842
C61×#30812
C61×#30772
C61×#29932
#6217661