Finite Group Databasebeta

← C61×#61775 #29565208

Subgroups — C61×#61775 #29565208

Order 15616.

1742 conjugacy classes of subgroups.

The subgroup lattice has 1716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C61×#3540C211yesmaximal, characteristic, complemented
2C61×#3492C211yesmaximal, characteristic, complemented
3C61×#3357C211yesmaximal, characteristic, complemented
4C61×#3356C211yesmaximal, characteristic, complemented
5C61×#3354C211yesmaximal, characteristic, complemented
6C61×#3353C211yesmaximal, characteristic, complemented
7C61×#3350C211yesmaximal, characteristic, complemented
8C61×#3349C211yesmaximal, characteristic, complemented
9C61×#3348C211yesmaximal, characteristic, complemented
10C61×#3347C211yesmaximal, characteristic, complemented
11C61×#3327C211yesmaximal, characteristic, complemented
12C61×#3326C211yesmaximal, characteristic, complemented
13C61×#3323C211yesmaximal, characteristic, complemented
14C61×#3322C211yesmaximal, characteristic, complemented
15C61×#3316C211yesmaximal, characteristic, complemented
16C61×#3314C211yesmaximal, characteristic, complemented
17C61×#3308C211yesmaximal, characteristic, complemented
18C61×#3306C211yesmaximal, characteristic, complemented
19C61×#3244C211yesmaximal, characteristic, complemented
20C61×#3243C211yesmaximal, characteristic, complemented
21C61×#3201C211yesmaximal, characteristic, complemented
22C61×#3198C211yesmaximal, characteristic, complemented
23C61×#3197C211yesmaximal, characteristic, complemented
24C61×#3197C211yesmaximal, characteristic, complemented
25C61×#3125C211yesmaximal, characteristic, complemented
26C61×#3124C211yesmaximal, characteristic, complemented
27C61×#3097C211yesmaximal, characteristic, complemented
28C61×#3096C211yesmaximal, characteristic, complemented
29C61×#3092C211yesmaximal, characteristic, complemented
30C61×#3092C211yesmaximal, characteristic, complemented
31C61×#2978C211yesmaximal, characteristic, complemented
32C61×H(3,𝔽4)—21no—
33C61×#560—21no—
34C61×#559—21no—
35C61×#556C2211yescharacteristic
36C61×#556C2211yescharacteristic
37C61×#555C2211yescharacteristic
38C61×#555C2211yescharacteristic
39C61×#554—21no—
40C61×#554C2211yescharacteristic
41C61×#554C2211yescharacteristic, complemented
42C61×#553—21no—
43C61×#553C2211yescharacteristic
44C61×#553C2211yescharacteristic, complemented
45C61×#552—21no—
46C61×#552C2211yescharacteristic
47C61×#552C2211yescharacteristic, complemented
48C61×#551—21no—
49C61×#548C2211yescharacteristic
50C61×#548C2211yescharacteristic
51C61×#547—21no—
52C61×#547C2211yescharacteristic
53C61×#547C2211yescharacteristic, complemented
54C61×#546C2211yescharacteristic
55C61×#546C2211yescharacteristic
56C61×#544C2211yescharacteristic, complemented
57C61×#542—21no—
58C61×#542—21no—
59C61×#542C2211yescharacteristic
60C61×#542C2211yescharacteristic
61C61×#539—21no—
62C61×#539—21no—
63C61×#538—21no—
64C61×#538—21no—
65C61×#537C2211yescharacteristic
66C61×#536C2211yescharacteristic
67C61×#535C2211yescharacteristic
68C61×#525—21no—
69C61×#525—21no—
70C61×#525C2211yescharacteristic
71C61×#525C2211yescharacteristic
72C61×#525C2211yescharacteristic
73C61×#525C2211yescharacteristic, complemented
74C61×#520C2211yescharacteristic
75C61×#520C2211yescharacteristic, complemented
76C22×C4⋊C4×C61C2211yescharacteristic, complemented
77C61×#501C2211yescharacteristic, complemented
78C61×#501C2211yescharacteristic, complemented
79C61×#500C2211yescharacteristic, complemented
80C61×#498C2211yescharacteristic, complemented
81C61×#489C2211yescharacteristic, complemented
82C61×#489C2211yescharacteristic, complemented
83C61×#488C2211yescharacteristic, complemented
84C61×#488C2211yescharacteristic, complemented
85C61×#485C2211yescharacteristic, complemented
86C61×#485C2211yescharacteristic, complemented
87C61×#485C2211yescharacteristic, complemented
88C61×#485C2211yescharacteristic, complemented
89C61×#485C2211yescharacteristic, complemented
90C61×#485C2211yescharacteristic, complemented
91C61×#485C2211yescharacteristic, complemented
92C61×#485C2211yescharacteristic, complemented
93C61×#484C2211yescharacteristic, complemented
94C61×#484C2211yescharacteristic, complemented
95C61×#484C2211yescharacteristic, complemented
96C61×#484C2211yescharacteristic, complemented
97C61×#484C2211yescharacteristic, complemented
98C61×#483C2211yescharacteristic, complemented
99C61×#483C2211yescharacteristic, complemented
100C61×#483C2211yescharacteristic, complemented
101C61×#483C2211yescharacteristic, complemented
102C61×#483C2211yescharacteristic, complemented
103C61×#482C2211yescharacteristic
104C61×#482C2211yescharacteristic
105C61×#482C2211yescharacteristic, complemented
106C61×#482C2211yescharacteristic, complemented
107C61×#482C2211yescharacteristic, complemented
108C61×#482C2211yescharacteristic, complemented
109C61×#482C2211yescharacteristic, complemented
110C61×#482C2211yescharacteristic, complemented
111C61×#481C2211yescharacteristic
112C61×#481C2211yescharacteristic
113C61×#481C2211yescharacteristic
114C61×#481C2211yescharacteristic
115C61×#481C2211yescharacteristic, complemented
116C61×#480C2211yescharacteristic
117C61×#480C2211yescharacteristic
118C61×#480C2211yescharacteristic
119C61×#480C2211yescharacteristic
120C61×#480C2211yescharacteristic, complemented
121C61×#479C2211yescharacteristic, complemented
122C61×#479C2211yescharacteristic, complemented
123C61×#478C2211yescharacteristic, complemented
124C61×#478C2211yescharacteristic, complemented
125C61×#477C2211yescharacteristic, complemented
126C61×#477C2211yescharacteristic, complemented
127C61×#476C2211yescharacteristic, complemented
128C61×#476C2211yescharacteristic, complemented
129C61×#475C2211yescharacteristic, complemented
130C61×#475C2211yescharacteristic, complemented
131C61×#474C2211yescharacteristic, complemented
132C61×#474C2211yescharacteristic, complemented
133C61×#470C2211yescharacteristic, complemented
134C61×#470C2211yescharacteristic, complemented
135C61×#470C2211yescharacteristic, complemented
136C61×#469C2211yescharacteristic
137C61×#469C2211yescharacteristic
138C61×#469C2211yescharacteristic, complemented
139C61×#468C2211yescharacteristic
140C61×#468C2211yescharacteristic
141C61×#468C2211yescharacteristic, complemented
142C61×#468C2211yescharacteristic, complemented
143C61×#468C2211yescharacteristic, complemented
144C61×#468C2211yescharacteristic, complemented
145C61×#467C2211yescharacteristic, complemented
146C61×#466C2211yescharacteristic, complemented
147C61×#465C2211yescharacteristic, complemented
148C61×#465C2211yescharacteristic, complemented
149C61×#464C2211yescharacteristic, complemented
150C61×#464C2211yescharacteristic, complemented
151C61×#463C2211yescharacteristic, complemented
152C61×#463C2211yescharacteristic, complemented
153C61×#452C2211yescharacteristic
154C61×#452C2211yescharacteristic
155C61×#452C2211yescharacteristic, complemented
156C61×#452C2211yescharacteristic, complemented
157C61×#451C2211yescharacteristic, complemented
158C61×#450C2211yescharacteristic, complemented
159C61×#449C2211yescharacteristic
160C61×#449C2211yescharacteristic
161C61×#449C2211yescharacteristic
162C61×#449C2211yescharacteristic
163C61×#448C2211yescharacteristic, complemented
164C61×#447C2211yescharacteristic, complemented
165C61×#442C2211yescharacteristic, complemented
166C61×#441C2211yescharacteristic, complemented
167C61×#440C2211yescharacteristic, complemented
168C61×#440C2211yescharacteristic, complemented
169C4×Q16×C61C2211yescharacteristic, complemented
170C4×SD16×C61C2211yescharacteristic, complemented
171C4×SD16×C61C2211yescharacteristic, complemented
172C4×D8×C61C2211yescharacteristic, complemented
173C61×#436C2211yescharacteristic
174C61×#436C2211yescharacteristic
175C61×#436C2211yescharacteristic, complemented
176C61×#436C2211yescharacteristic, complemented
177C61×#435C2211yescharacteristic
178C61×#435C2211yescharacteristic
179C61×#435C2211yescharacteristic, complemented
180C61×#435C2211yescharacteristic, complemented
181C61×#433C2211yescharacteristic, complemented
182C61×#433C2211yescharacteristic, complemented
183C61×#428C2211yescharacteristic, complemented
184C61×#428C2211yescharacteristic, complemented
185C61×#428C2211yescharacteristic, complemented
186C61×#428C2211yescharacteristic, complemented
187C61×#428C2211yescharacteristic, complemented
188C61×#428C2211yescharacteristic, complemented
189C61×#427C2211yescharacteristic, complemented
190C61×#427C2211yescharacteristic, complemented
191C61×#419C2211yescharacteristic, complemented
192C61×#418C2211yescharacteristic, complemented
193C61×#417C2211yescharacteristic
194C61×#417C2211yescharacteristic
195C61×#417C2211yescharacteristic
196C61×#417C2211yescharacteristic
197C2×#103×C61C2211yescharacteristic, complemented
198C2×#102×C61C2211yescharacteristic, complemented
199C61×#408C2211yescharacteristic
200C61×#408C2211yescharacteristic
201C61×#407C2211yescharacteristic, complemented
202C61×#407C2211yescharacteristic, complemented
203C2×#41×C61—21no—
204C2×#41×C61—21no—
205C2×#41×C61C2311yescharacteristic
206C2×#41×C61C2311yescharacteristic
207C2×#41×C61C2311yescharacteristic
208C2×#41×C61C2311yescharacteristic
209C22×Q8×C61C2311yescharacteristic
210C22×D4×C61C2311yescharacteristic
211C23×C4×C61—21no—
212C23×C4×C61C2311yescharacteristic
213C2×Q16×C61C2311yescharacteristic
214C2×Q16×C61C2311yescharacteristic
215C2×SD16×C61C2311yescharacteristic
216C2×SD16×C61C2311yescharacteristic
217C2×SD16×C61C2311yescharacteristic
218C2×SD16×C61C2311yescharacteristic
219C2×D8×C61C2311yescharacteristic
220C2×D8×C61C2311yescharacteristic
221C2×M16×C61C2311yescharacteristic
222C2×M16×C61C2311yescharacteristic
223C2×M16×C61C2311yescharacteristic
224C2×M16×C61C2311yescharacteristic
225C2×M16×C61C2311yescharacteristic
226C2×M16×C61C2311yescharacteristic
227C22×C8×C61C2311yescharacteristic
228C22×C8×C61C2311yescharacteristic
229C4⋊Q8×C61—21no—
230C4⋊Q8×C61—21no—
231C4⋊Q8×C61C2311yescharacteristic
232C4⋊Q8×C61C2311yescharacteristic
233C4⋊Q8×C61C2311yescharacteristic
234C4⋊Q8×C61C2311yescharacteristic
235#127×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×C61—21no—
246#125×C61—21no—
247#125×C61—21no—
248#125×C61—21no—
249#125×C61—21no—
250#125×C61—21no—
251#125×C61C2311yescharacteristic
252#125×C61C2311yescharacteristic
253#124×C61—21no—
254#124×C61—21no—
255#124×C61—21no—
256#124×C61—21no—
257#124×C61—21no—
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×C61C2311yescharacteristic
266#124×C61C2311yescharacteristic
267#123×C61—21no—
268#123×C61—21no—
269#123×C61—21no—
270#123×C61—21no—
271#123×C61—21no—
272#123×C61—21no—
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×C61D411yescharacteristic
285#123×C61D411yescharacteristic
286C22⋊Q8×C61—21no—
287C22⋊Q8×C61—21no—
288C22⋊Q8×C61—21no—
289C22⋊Q8×C61—21no—
290C22⋊Q8×C61—21no—
291C22⋊Q8×C61—21no—
292C22⋊Q8×C61—21no—
293C22⋊Q8×C61—21no—
294C22⋊Q8×C61—21no—
295C22⋊Q8×C61—21no—
296C22⋊Q8×C61—21no—
297C22⋊Q8×C61—21no—
298C22⋊Q8×C61—21no—
299C22⋊Q8×C61D411yescharacteristic
300C22⋊Q8×C61D411yescharacteristic
301C22⋊Q8×C61C2311yescharacteristic
302C22⋊Q8×C61C2311yescharacteristic
303C22⋊Q8×C61C2311yescharacteristic
304C22⋊Q8×C61C2311yescharacteristic
305C22⋊Q8×C61C2311yescharacteristic
306C22⋊Q8×C61C2311yescharacteristic
307C22⋊Q8×C61C2311yescharacteristic
308C22⋊Q8×C61C2311yescharacteristic
309C22⋊Q8×C61C2311yescharacteristic
310C22⋊Q8×C61C2311yescharacteristic
311#121×C61—21no—
312#121×C61—21no—
313#121×C61—21no—
314#121×C61—21no—
315#121×C61—21no—
316#121×C61—21no—
317#121×C61—21no—
318#121×C61—21no—
319#121×C61—21no—
320#121×C61—21no—
321#121×C61—21no—
322#121×C61D411yescharacteristic
323#121×C61D411yescharacteristic
324#121×C61C2311yescharacteristic
325#121×C61C2311yescharacteristic
326#121×C61C2311yescharacteristic
327#121×C61C2311yescharacteristic
328#121×C61C2311yescharacteristic
329#121×C61C2311yescharacteristic
330#121×C61C2311yescharacteristic
331#121×C61C2311yescharacteristic
332#121×C61C2311yescharacteristic
333#121×C61C2311yescharacteristic
334#120×C61—21no—
335#120×C61—21no—
336#120×C61—21no—
337#120×C61—21no—
338#120×C61—21no—
339#120×C61—21no—
340#120×C61—21no—
341#120×C61D411yescharacteristic
342#120×C61D411yescharacteristic
343C4×Q8×C61—21no—
344C4×Q8×C61—21no—
345C4×Q8×C61—21no—
346C4×Q8×C61C2311yescharacteristic
347C4×Q8×C61C2311yescharacteristic
348C4×Q8×C61C2311yescharacteristic
349C4×Q8×C61C2311yescharacteristic
350C4×D4×C61—21no—
351C4×D4×C61—21no—
352C4×D4×C61—21no—
353C4×D4×C61—21no—
354C4×D4×C61—21no—
355C4×D4×C61—21no—
356C4×D4×C61—21no—
357C4×D4×C61—21no—
358C4×D4×C61—21no—
359C4×D4×C61—21no—
360C4×D4×C61—21no—
361C4×D4×C61—21no—
362C4×D4×C61—21no—
363C4×D4×C61—21no—
364C4×D4×C61—21no—
365C4×D4×C61—21no—
366C4×D4×C61—21no—
367C4×D4×C61C2311yescharacteristic
368C4×D4×C61C2311yescharacteristic
369C4×D4×C61C2311yescharacteristic
370C4×D4×C61C2311yescharacteristic
371C4×D4×C61C2311yescharacteristic
372C4×D4×C61C2311yescharacteristic
373C4×D4×C61C2311yescharacteristic
374C4×D4×C61C2311yescharacteristic
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
387#117×C61C2311yescharacteristic
388C2×C4⋊C4×C61—21no—
389C2×C4⋊C4×C61—21no—
390C2×C4⋊C4×C61—21no—
391C2×C4⋊C4×C61—21no—
392C2×C4⋊C4×C61C2311yescharacteristic
393C2×C4⋊C4×C61C2311yescharacteristic
394C2×C4⋊C4×C61C2311yescharacteristic
395C2×C4⋊C4×C61C2311yescharacteristic
396C2×C4⋊C4×C61C2311yescharacteristic
397C2×C4⋊C4×C61C2311yescharacteristic
398C2×C4⋊C4×C61C2311yescharacteristic
399C2×C4⋊C4×C61C2311yescharacteristic
400C2×C22⋊C4×C61—21no—
401C2×C22⋊C4×C61—21no—
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#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
422#106×C61C2311yescharacteristic
423#106×C61C2311yescharacteristic
424#106×C61C2311yescharacteristic
425#106×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#103×C61C2311yescharacteristic
443#103×C61C2311yescharacteristic
444#103×C61C2311yescharacteristic
445#103×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
470C22⋊C8×C61C2311yescharacteristic
471C22⋊C8×C61C2311yescharacteristic
472C22⋊C8×C61C2311yescharacteristic
473C22⋊C8×C61C2311yescharacteristic
474#97×C61C2311yescharacteristic
475#97×C61C2311yescharacteristic
476C4×C8×C61C2311yescharacteristic
477C4×C8×C61C2311yescharacteristic
478C24×C61—21no—
479C24×C61C2×D411yescharacteristic
480#41×C61—41no—
481#41×C61—41no—
482#41×C61—41no—
483#41×C61—41no—
484#41×C61—41no—
485#41×C61—41no—
486#41×C61—41no—
487#41×C61—41no—
488#41×C61—82no—
489#41×C61—82no—
490C2×Q8×C61—21no—
491C2×Q8×C61—21no—
492C2×Q8×C61—21no—
493C2×Q8×C61—21no—
494C2×Q8×C61—21no—
495C2×Q8×C61—41no—
496C2×Q8×C61—41no—
497C2×Q8×C61C2×D411yescharacteristic
498C2×Q8×C61C2411yescharacteristic
499C2×Q8×C61C2411yescharacteristic
500C2×Q8×C61C2411yescharacteristic
501C2×D4×C61—21no—
502C2×D4×C61—21no—
503C2×D4×C61—21no—
504C2×D4×C61—21no—
505C2×D4×C61—21no—
506C2×D4×C61—21no—
507C2×D4×C61—21no—
508C2×D4×C61—21no—
509C2×D4×C61—21no—
510C2×D4×C61—21no—
511C2×D4×C61—21no—
512C2×D4×C61—21no—
513C2×D4×C61—21no—
514C2×D4×C61—21no—
515C2×D4×C61—41no—
516C2×D4×C61—41no—
517C2×D4×C61C2×D411yescharacteristic
518C2×D4×C61C2×D411yescharacteristic
519C2×D4×C61C2×D411yescharacteristic
520C2×D4×C61C2×D411yescharacteristic
521C2×D4×C61C2×D411yescharacteristic
522C2×D4×C61C2×D411yescharacteristic
523C2×D4×C61C2×D411yescharacteristic
524C2×D4×C61C2411yescharacteristic
525C2×D4×C61C2411yescharacteristic
526C2×D4×C61C2411yescharacteristic
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—21no—
540C22×C4×C61—21no—
541C22×C4×C61—21no—
542C22×C4×C61—21no—
543C22×C4×C61—41no—
544C22×C4×C61—41no—
545C22×C4×C61—82no—
546C22×C4×C61C2×D411yescharacteristic
547C22×C4×C61C2×D411yescharacteristic
548C22×C4×C61C2×D411yescharacteristic
549C22×C4×C61C2411yescharacteristic
550C22×C4×C61C2411yescharacteristic
551C22×C4×C61C2411yescharacteristic
552C22×C4×C61C2411yescharacteristic
553C22×C4×C61C2411yescharacteristic
554Q16×C61—41no—
555Q16×C61—41no—
556SD16×C61—41no—
557SD16×C61—41no—
558SD16×C61—41no—
559SD16×C61—41no—
560D8×C61—41no—
561D8×C61—41no—
562M16×C61—41no—
563M16×C61—41no—
564M16×C61—41no—
565M16×C61—41no—
566M16×C61—41no—
567M16×C61—41no—
568C2×C8×C61—41no—
569C2×C8×C61—41no—
570C2×C8×C61C2411yescharacteristic
571C2×C8×C61C2411yescharacteristic
572C2×C8×C61C2411yescharacteristic
573C2×C8×C61C2411yescharacteristic
574C2×C8×C61C2411yescharacteristic
575C2×C8×C61C2411yescharacteristic
576C2×C8×C61C2411yescharacteristic
577C2×C8×C61C2411yescharacteristic
578C4⋊C4×C61—21no—
579C4⋊C4×C61—21no—
580C4⋊C4×C61—21no—
581C4⋊C4×C61—21no—
582C4⋊C4×C61—21no—
583C4⋊C4×C61—21no—
584C4⋊C4×C61—21no—
585C4⋊C4×C61—21no—
586C4⋊C4×C61—21no—
587C4⋊C4×C61—21no—
588C4⋊C4×C61—21no—
589C4⋊C4×C61—21no—
590C4⋊C4×C61—21no—
591C4⋊C4×C61—21no—
592C4⋊C4×C61—21no—
593C4⋊C4×C61—21no—
594C4⋊C4×C61—21no—
595C4⋊C4×C61—21no—
596C4⋊C4×C61—21no—
597C4⋊C4×C61—21no—
598C4⋊C4×C61—21no—
599C4⋊C4×C61—21no—
600C4⋊C4×C61—21no—
601C4⋊C4×C61—21no—
602C4⋊C4×C61—21no—
603C4⋊C4×C61—21no—
604C4⋊C4×C61—21no—
605C4⋊C4×C61—21no—
606C4⋊C4×C61—21no—
607C4⋊C4×C61—21no—
608C4⋊C4×C61C2×D411yescharacteristic
609C4⋊C4×C61C2×D411yescharacteristic
610C4⋊C4×C61C2×D411yescharacteristic
611C4⋊C4×C61C2×D411yescharacteristic
612C4⋊C4×C61C2×D411yescharacteristic
613C4⋊C4×C61C2×D411yescharacteristic
614C4⋊C4×C61C2411yescharacteristic
615C4⋊C4×C61C2411yescharacteristic
616C4⋊C4×C61C2411yescharacteristic
617C4⋊C4×C61C2411yescharacteristic
618C4⋊C4×C61C2411yescharacteristic
619C4⋊C4×C61C2411yescharacteristic
620C4⋊C4×C61C2411yescharacteristic
621C4⋊C4×C61C2411yescharacteristic
622C4⋊C4×C61C2411yescharacteristic
623C4⋊C4×C61C2411yescharacteristic
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×C61—21no—
658C22⋊C4×C61—21no—
659C22⋊C4×C61C2×D411yescharacteristic
660C22⋊C4×C61C2×D411yescharacteristic
661C22⋊C4×C61C2×D411yescharacteristic
662C22⋊C4×C61C2×D411yescharacteristic
663C22⋊C4×C61C2×D411yescharacteristic
664C22⋊C4×C61C2×D411yescharacteristic
665C22⋊C4×C61C2×D411yescharacteristic
666C22⋊C4×C61C2×D411yescharacteristic
667C22⋊C4×C61C2×D411yescharacteristic
668C22⋊C4×C61C2×D411yescharacteristic
669C42×C61—21no—
670C42×C61—21no—
671C42×C61—21no—
672C42×C61—21no—
673C42×C61—21no—
674C42×C61—21no—
675C42×C61—21no—
676C42×C61—21no—
677C42×C61—21no—
678C42×C61—21no—
679C42×C61—21no—
680C42×C61C2411yescharacteristic
681C42×C61C2411yescharacteristic
682C23×C61—21no—
683C23×C61—21no—
684C23×C61—21no—
685C23×C61—41no—
686C23×C61—41no—
687C23×C61—41no—
688C23×C61—81no—
689C23×C61—81no—
690C23×C61—81no—
691C23×C61C22×D411yescharacteristic
692C23×C61C22×D411yescharacteristic
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—81no—
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—41no—
715D4×C61—41no—
716D4×C61—41no—
717D4×C61—41no—
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—
735C2×C4×C61—21no—
736C2×C4×C61—21no—
737C2×C4×C61—21no—
738C2×C4×C61—21no—
739C2×C4×C61—21no—
740C2×C4×C61—21no—
741C2×C4×C61—21no—
742C2×C4×C61—21no—
743C2×C4×C61—21no—
744C2×C4×C61—21no—
745C2×C4×C61—21no—
746C2×C4×C61—21no—
747C2×C4×C61—21no—
748C2×C4×C61—21no—
749C2×C4×C61—21no—
750C2×C4×C61—21no—
751C2×C4×C61—21no—
752C2×C4×C61—21no—
753C2×C4×C61—21no—
754C2×C4×C61—21no—
755C2×C4×C61—21no—
756C2×C4×C61—21no—
757C2×C4×C61—21no—
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—81no—
765C2×C4×C61—81no—
766C2×C4×C61—81no—
767C2×C4×C61—81no—
768C2×C4×C61—81no—
769C2×C4×C61—81no—
770C2×C4×C61—81no—
771C2×C4×C61—81no—
772C2×C4×C61—81no—
773C2×C4×C61—81no—
774C2×C4×C61—81no—
775C2×C4×C61—81no—
776C2×C4×C61—81no—
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×C61C22×D411yescharacteristic
786C2×C4×C61C2511yescharacteristic
787C8×C61—21no—
788C8×C61—21no—
789C8×C61—21no—
790C8×C61—21no—
791C8×C61—21no—
792C8×C61—21no—
793C8×C61—21no—
794C8×C61—21no—
795#61775C6111yesmaximal, characteristic, direct product factor, Sylow
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—21no—
805C22×C61—21no—
806C22×C61—21no—
807C22×C61—21no—
808C22×C61—21no—
809C22×C61—21no—
810C22×C61—21no—
811C22×C61—44no—
812C22×C61—41no—
813C22×C61—41no—
814C22×C61—41no—
815C22×C61—41no—
816C22×C61—41no—
817C22×C61—41no—
818C22×C61—41no—
819C22×C61—41no—
820C22×C61—41no—
821C22×C61—162no—
822C22×C61C23×D411yescharacteristic
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—41no—
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—41no—
845C4×C61#58511yescharacteristic
846C4×C61#58511yescharacteristic
847#3540C2×C6111yescharacteristic, complemented
848#3492C2×C6111yescharacteristic, complemented
849#3357C2×C6111yescharacteristic, complemented
850#3356C2×C6111yescharacteristic, complemented
851#3354C2×C6111yescharacteristic, complemented
852#3353C2×C6111yescharacteristic, complemented
853#3350C2×C6111yescharacteristic, complemented
854#3349C2×C6111yescharacteristic, complemented
855#3348C2×C6111yescharacteristic, complemented
856#3347C2×C6111yescharacteristic, complemented
857#3327C2×C6111yescharacteristic, complemented
858#3326C2×C6111yescharacteristic, complemented
859#3323C2×C6111yescharacteristic, complemented
860#3322C2×C6111yescharacteristic, complemented
861#3316C2×C6111yescharacteristic, complemented
862#3314C2×C6111yescharacteristic, complemented
863#3308C2×C6111yescharacteristic, complemented
864#3306C2×C6111yescharacteristic, complemented
865#3244C2×C6111yescharacteristic, complemented
866#3243C2×C6111yescharacteristic, complemented
867#3201C2×C6111yescharacteristic, complemented
868#3198C2×C6111yescharacteristic, complemented
869#3197C2×C6111yescharacteristic, complemented
870#3197C2×C6111yescharacteristic, complemented
871#3125C2×C6111yescharacteristic, complemented
872#3124C2×C6111yescharacteristic, complemented
873#3097C2×C6111yescharacteristic, complemented
874#3096C2×C6111yescharacteristic, complemented
875#3092C2×C6111yescharacteristic, complemented
876#3092C2×C6111yescharacteristic, complemented
877#2978C2×C6111yescharacteristic, complemented
878C2×C61—41no—
879C2×C61—41no—
880C2×C61—41no—
881C2×C61—41no—
882C2×C61—41no—
883C2×C61—81no—
884C2×C61—81no—
885C2×C61—81no—
886C2×C61#348511yescharacteristic
887C2×C61#358511yescharacteristic
888C2×C61#358611yescharacteristic
889H(3,𝔽4)—21no—
890#560—21no—
891#559—21no—
892#556C22×C6111yescharacteristic
893#556C22×C6111yescharacteristic
894#555C22×C6111yescharacteristic
895#555C22×C6111yescharacteristic
896#554—21no—
897#554C22×C6111yescharacteristic
898#554C22×C6111yescharacteristic, complemented
899#553—21no—
900#553C22×C6111yescharacteristic
901#553C22×C6111yescharacteristic, complemented
902#552—21no—
903#552C22×C6111yescharacteristic
904#552C22×C6111yescharacteristic, complemented
905#551—21no—
906#548C22×C6111yescharacteristic
907#548C22×C6111yescharacteristic
908#547—21no—
909#547C22×C6111yescharacteristic
910#547C22×C6111yescharacteristic, complemented
911#546C22×C6111yescharacteristic
912#546C22×C6111yescharacteristic
913#544C22×C6111yescharacteristic, complemented
914#542—21no—
915#542—21no—
916#542C22×C6111yescharacteristic
917#542C22×C6111yescharacteristic
918#539—21no—
919#539—21no—
920#538—21no—
921#538—21no—
922#537C22×C6111yescharacteristic
923#536C22×C6111yescharacteristic
924#535C22×C6111yescharacteristic
925#525—21no—
926#525—21no—
927#525C22×C6111yescharacteristic
928#525C22×C6111yescharacteristic
929#525C22×C6111yescharacteristic
930#525C22×C6111yescharacteristic, complemented
931#520C22×C6111yescharacteristic
932#520C22×C6111yescharacteristic, complemented
933C22×C4⋊C4C22×C6111yescharacteristic, complemented
934#501C22×C6111yescharacteristic, complemented
935#501C22×C6111yescharacteristic, complemented
936#500C22×C6111yescharacteristic, complemented
937#498C22×C6111yescharacteristic, complemented
938#489C22×C6111yescharacteristic, complemented
939#489C22×C6111yescharacteristic, complemented
940#488C22×C6111yescharacteristic, complemented
941#488C22×C6111yescharacteristic, complemented
942#485C22×C6111yescharacteristic, complemented
943#485C22×C6111yescharacteristic, complemented
944#485C22×C6111yescharacteristic, complemented
945#485C22×C6111yescharacteristic, complemented
946#485C22×C6111yescharacteristic, complemented
947#485C22×C6111yescharacteristic, complemented
948#485C22×C6111yescharacteristic, complemented
949#485C22×C6111yescharacteristic, complemented
950#484C22×C6111yescharacteristic, complemented
951#484C22×C6111yescharacteristic, complemented
952#484C22×C6111yescharacteristic, complemented
953#484C22×C6111yescharacteristic, complemented
954#484C22×C6111yescharacteristic, complemented
955#483C22×C6111yescharacteristic, complemented
956#483C22×C6111yescharacteristic, complemented
957#483C22×C6111yescharacteristic, complemented
958#483C22×C6111yescharacteristic, complemented
959#483C22×C6111yescharacteristic, complemented
960#482C22×C6111yescharacteristic
961#482C22×C6111yescharacteristic
962#482C22×C6111yescharacteristic, complemented
963#482C22×C6111yescharacteristic, complemented
964#482C22×C6111yescharacteristic, complemented
965#482C22×C6111yescharacteristic, complemented
966#482C22×C6111yescharacteristic, complemented
967#482C22×C6111yescharacteristic, complemented
968#481C22×C6111yescharacteristic
969#481C22×C6111yescharacteristic
970#481C22×C6111yescharacteristic
971#481C22×C6111yescharacteristic
972#481C22×C6111yescharacteristic, complemented
973#480C22×C6111yescharacteristic
974#480C22×C6111yescharacteristic
975#480C22×C6111yescharacteristic
976#480C22×C6111yescharacteristic
977#480C22×C6111yescharacteristic, complemented
978#479C22×C6111yescharacteristic, complemented
979#479C22×C6111yescharacteristic, complemented
980#478C22×C6111yescharacteristic, complemented
981#478C22×C6111yescharacteristic, complemented
982#477C22×C6111yescharacteristic, complemented
983#477C22×C6111yescharacteristic, complemented
984#476C22×C6111yescharacteristic, complemented
985#476C22×C6111yescharacteristic, complemented
986#475C22×C6111yescharacteristic, complemented
987#475C22×C6111yescharacteristic, complemented
988#474C22×C6111yescharacteristic, complemented
989#474C22×C6111yescharacteristic, complemented
990#470C22×C6111yescharacteristic, complemented
991#470C22×C6111yescharacteristic, complemented
992#470C22×C6111yescharacteristic, complemented
993#469C22×C6111yescharacteristic
994#469C22×C6111yescharacteristic
995#469C22×C6111yescharacteristic, complemented
996#468C22×C6111yescharacteristic
997#468C22×C6111yescharacteristic
998#468C22×C6111yescharacteristic, complemented
999#468C22×C6111yescharacteristic, complemented
1000#468C22×C6111yescharacteristic, complemented
1001#468C22×C6111yescharacteristic, complemented
1002#467C22×C6111yescharacteristic, complemented
1003#466C22×C6111yescharacteristic, complemented
1004#465C22×C6111yescharacteristic, complemented
1005#465C22×C6111yescharacteristic, complemented
1006#464C22×C6111yescharacteristic, complemented
1007#464C22×C6111yescharacteristic, complemented
1008#463C22×C6111yescharacteristic, complemented
1009#463C22×C6111yescharacteristic, complemented
1010#452C22×C6111yescharacteristic
1011#452C22×C6111yescharacteristic
1012#452C22×C6111yescharacteristic, complemented
1013#452C22×C6111yescharacteristic, complemented
1014#451C22×C6111yescharacteristic, complemented
1015#450C22×C6111yescharacteristic, complemented
1016#449C22×C6111yescharacteristic
1017#449C22×C6111yescharacteristic
1018#449C22×C6111yescharacteristic
1019#449C22×C6111yescharacteristic
1020#448C22×C6111yescharacteristic, complemented
1021#447C22×C6111yescharacteristic, complemented
1022#442C22×C6111yescharacteristic, complemented
1023#441C22×C6111yescharacteristic, complemented
1024#440C22×C6111yescharacteristic, complemented
1025#440C22×C6111yescharacteristic, complemented
1026C4×Q16C22×C6111yescharacteristic, complemented
1027C4×SD16C22×C6111yescharacteristic, complemented
1028C4×SD16C22×C6111yescharacteristic, complemented
1029C4×D8C22×C6111yescharacteristic, complemented
1030#436C22×C6111yescharacteristic
1031#436C22×C6111yescharacteristic
1032#436C22×C6111yescharacteristic, complemented
1033#436C22×C6111yescharacteristic, complemented
1034#435C22×C6111yescharacteristic
1035#435C22×C6111yescharacteristic
1036#435C22×C6111yescharacteristic, complemented
1037#435C22×C6111yescharacteristic, complemented
1038#433C22×C6111yescharacteristic, complemented
1039#433C22×C6111yescharacteristic, complemented
1040#428C22×C6111yescharacteristic, complemented
1041#428C22×C6111yescharacteristic, complemented
1042#428C22×C6111yescharacteristic, complemented
1043#428C22×C6111yescharacteristic, complemented
1044#428C22×C6111yescharacteristic, complemented
1045#428C22×C6111yescharacteristic, complemented
1046#427C22×C6111yescharacteristic, complemented
1047#427C22×C6111yescharacteristic, complemented
1048#419C22×C6111yescharacteristic, complemented
1049#418C22×C6111yescharacteristic, complemented
1050#417C22×C6111yescharacteristic
1051#417C22×C6111yescharacteristic
1052#417C22×C6111yescharacteristic
1053#417C22×C6111yescharacteristic
1054C2×#103C22×C6111yescharacteristic, complemented
1055C2×#102C22×C6111yescharacteristic, complemented
1056#408C22×C6111yescharacteristic
1057#408C22×C6111yescharacteristic
1058#407C22×C6111yescharacteristic, complemented
1059#407C22×C6111yescharacteristic, complemented
1060C61#6177511yescharacteristic, direct product factor, Sylow
1061C2×#41—21no—
1062C2×#41—21no—
1063C2×#41C23×C6111yescharacteristic
1064C2×#41C23×C6111yescharacteristic
1065C2×#41C23×C6111yescharacteristic
1066C2×#41C23×C6111yescharacteristic
1067C22×Q8C23×C6111yescharacteristic
1068C22×D4C23×C6111yescharacteristic
1069C23×C4—21no—
1070C23×C4C23×C6111yescharacteristic
1071C2×Q16C23×C6111yescharacteristic
1072C2×Q16C23×C6111yescharacteristic
1073C2×SD16C23×C6111yescharacteristic
1074C2×SD16C23×C6111yescharacteristic
1075C2×SD16C23×C6111yescharacteristic
1076C2×SD16C23×C6111yescharacteristic
1077C2×D8C23×C6111yescharacteristic
1078C2×D8C23×C6111yescharacteristic
1079C2×M16C23×C6111yescharacteristic
1080C2×M16C23×C6111yescharacteristic
1081C2×M16C23×C6111yescharacteristic
1082C2×M16C23×C6111yescharacteristic
1083C2×M16C23×C6111yescharacteristic
1084C2×M16C23×C6111yescharacteristic
1085C22×C8C23×C6111yescharacteristic
1086C22×C8C23×C6111yescharacteristic
1087C4⋊Q8—21no—
1088C4⋊Q8—21no—
1089C4⋊Q8C23×C6111yescharacteristic
1090C4⋊Q8C23×C6111yescharacteristic
1091C4⋊Q8C23×C6111yescharacteristic
1092C4⋊Q8C23×C6111yescharacteristic
1093#127—21no—
1094#126—21no—
1095#126—21no—
1096#126—21no—
1097#126—21no—
1098#126—21no—
1099#126—21no—
1100#126—21no—
1101#126—21no—
1102#126—21no—
1103#126—21no—
1104#125—21no—
1105#125—21no—
1106#125—21no—
1107#125—21no—
1108#125—21no—
1109#125C23×C6111yescharacteristic
1110#125C23×C6111yescharacteristic
1111#124—21no—
1112#124—21no—
1113#124—21no—
1114#124—21no—
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#124C23×C6111yescharacteristic
1124#124C23×C6111yescharacteristic
1125#123—21no—
1126#123—21no—
1127#123—21no—
1128#123—21no—
1129#123—21no—
1130#123—21no—
1131#123—21no—
1132#123—21no—
1133#123—21no—
1134#123—21no—
1135#123—21no—
1136#123—21no—
1137#123—21no—
1138#123—21no—
1139#123—21no—
1140#123—21no—
1141#123—21no—
1142#123D4×C6111yescharacteristic
1143#123D4×C6111yescharacteristic
1144C22⋊Q8—21no—
1145C22⋊Q8—21no—
1146C22⋊Q8—21no—
1147C22⋊Q8—21no—
1148C22⋊Q8—21no—
1149C22⋊Q8—21no—
1150C22⋊Q8—21no—
1151C22⋊Q8—21no—
1152C22⋊Q8—21no—
1153C22⋊Q8—21no—
1154C22⋊Q8—21no—
1155C22⋊Q8—21no—
1156C22⋊Q8—21no—
1157C22⋊Q8D4×C6111yescharacteristic
1158C22⋊Q8D4×C6111yescharacteristic
1159C22⋊Q8C23×C6111yescharacteristic
1160C22⋊Q8C23×C6111yescharacteristic
1161C22⋊Q8C23×C6111yescharacteristic
1162C22⋊Q8C23×C6111yescharacteristic
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#121D4×C6111yescharacteristic
1181#121D4×C6111yescharacteristic
1182#121C23×C6111yescharacteristic
1183#121C23×C6111yescharacteristic
1184#121C23×C6111yescharacteristic
1185#121C23×C6111yescharacteristic
1186#121C23×C6111yescharacteristic
1187#121C23×C6111yescharacteristic
1188#121C23×C6111yescharacteristic
1189#121C23×C6111yescharacteristic
1190#121C23×C6111yescharacteristic
1191#121C23×C6111yescharacteristic
1192#120—21no—
1193#120—21no—
1194#120—21no—
1195#120—21no—
1196#120—21no—
1197#120—21no—
1198#120—21no—
1199#120D4×C6111yescharacteristic
1200#120D4×C6111yescharacteristic
1201C4×Q8—21no—
1202C4×Q8—21no—
1203C4×Q8—21no—
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×D4—21no—
1223C4×D4—21no—
1224C4×D4—21no—
1225C4×D4C23×C6111yescharacteristic
1226C4×D4C23×C6111yescharacteristic
1227C4×D4C23×C6111yescharacteristic
1228C4×D4C23×C6111yescharacteristic
1229C4×D4C23×C6111yescharacteristic
1230C4×D4C23×C6111yescharacteristic
1231C4×D4C23×C6111yescharacteristic
1232C4×D4C23×C6111yescharacteristic
1233#117—21no—
1234#117—21no—
1235#117—21no—
1236#117—21no—
1237#117—21no—
1238#117C23×C6111yescharacteristic
1239#117C23×C6111yescharacteristic
1240#117C23×C6111yescharacteristic
1241#117C23×C6111yescharacteristic
1242#117C23×C6111yescharacteristic
1243#117C23×C6111yescharacteristic
1244#117C23×C6111yescharacteristic
1245#117C23×C6111yescharacteristic
1246C2×C4⋊C4—21no—
1247C2×C4⋊C4—21no—
1248C2×C4⋊C4—21no—
1249C2×C4⋊C4—21no—
1250C2×C4⋊C4C23×C6111yescharacteristic
1251C2×C4⋊C4C23×C6111yescharacteristic
1252C2×C4⋊C4C23×C6111yescharacteristic
1253C2×C4⋊C4C23×C6111yescharacteristic
1254C2×C4⋊C4C23×C6111yescharacteristic
1255C2×C4⋊C4C23×C6111yescharacteristic
1256C2×C4⋊C4C23×C6111yescharacteristic
1257C2×C4⋊C4C23×C6111yescharacteristic
1258C2×C22⋊C4—21no—
1259C2×C22⋊C4—21no—
1260#107C23×C6111yescharacteristic
1261#107C23×C6111yescharacteristic
1262#107C23×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#107C23×C6111yescharacteristic
1272#106C23×C6111yescharacteristic
1273#106C23×C6111yescharacteristic
1274#106C23×C6111yescharacteristic
1275#106C23×C6111yescharacteristic
1276#106C23×C6111yescharacteristic
1277#106C23×C6111yescharacteristic
1278#106C23×C6111yescharacteristic
1279#106C23×C6111yescharacteristic
1280#106C23×C6111yescharacteristic
1281#106C23×C6111yescharacteristic
1282#106C23×C6111yescharacteristic
1283#106C23×C6111yescharacteristic
1284C4⋊C8C23×C6111yescharacteristic
1285C4⋊C8C23×C6111yescharacteristic
1286C4⋊C8C23×C6111yescharacteristic
1287C4⋊C8C23×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#103C23×C6111yescharacteristic
1300#103C23×C6111yescharacteristic
1301#103C23×C6111yescharacteristic
1302#103C23×C6111yescharacteristic
1303#103C23×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
1319#102C23×C6111yescharacteristic
1320C22⋊C8C23×C6111yescharacteristic
1321C22⋊C8C23×C6111yescharacteristic
1322C22⋊C8C23×C6111yescharacteristic
1323C22⋊C8C23×C6111yescharacteristic
1324C22⋊C8C23×C6111yescharacteristic
1325C22⋊C8C23×C6111yescharacteristic
1326C22⋊C8C23×C6111yescharacteristic
1327C22⋊C8C23×C6111yescharacteristic
1328C22⋊C8C23×C6111yescharacteristic
1329C22⋊C8C23×C6111yescharacteristic
1330C22⋊C8C23×C6111yescharacteristic
1331C22⋊C8C23×C6111yescharacteristic
1332#97C23×C6111yescharacteristic
1333#97C23×C6111yescharacteristic
1334C4×C8C23×C6111yescharacteristic
1335C4×C8C23×C6111yescharacteristic
1336C24—21no—
1337C24C2×D4×C6111yescharacteristic
1338#41—41no—
1339#41—41no—
1340#41—41no—
1341#41—41no—
1342#41—41no—
1343#41—41no—
1344#41—41no—
1345#41—41no—
1346#41—82no—
1347#41—82no—
1348C2×Q8—21no—
1349C2×Q8—21no—
1350C2×Q8—21no—
1351C2×Q8—21no—
1352C2×Q8—21no—
1353C2×Q8—41no—
1354C2×Q8—41no—
1355C2×Q8C2×D4×C6111yescharacteristic
1356C2×Q8C24×C6111yescharacteristic
1357C2×Q8C24×C6111yescharacteristic
1358C2×Q8C24×C6111yescharacteristic
1359C2×D4—21no—
1360C2×D4—21no—
1361C2×D4—21no—
1362C2×D4—21no—
1363C2×D4—21no—
1364C2×D4—21no—
1365C2×D4—21no—
1366C2×D4—21no—
1367C2×D4—21no—
1368C2×D4—21no—
1369C2×D4—21no—
1370C2×D4—21no—
1371C2×D4—21no—
1372C2×D4—21no—
1373C2×D4—41no—
1374C2×D4—41no—
1375C2×D4C2×D4×C6111yescharacteristic
1376C2×D4C2×D4×C6111yescharacteristic
1377C2×D4C2×D4×C6111yescharacteristic
1378C2×D4C2×D4×C6111yescharacteristic
1379C2×D4C2×D4×C6111yescharacteristic
1380C2×D4C2×D4×C6111yescharacteristic
1381C2×D4C2×D4×C6111yescharacteristic
1382C2×D4C24×C6111yescharacteristic
1383C2×D4C24×C6111yescharacteristic
1384C2×D4C24×C6111yescharacteristic
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—21no—
1397C22×C4—21no—
1398C22×C4—21no—
1399C22×C4—21no—
1400C22×C4—21no—
1401C22×C4—41no—
1402C22×C4—41no—
1403C22×C4—82no—
1404C22×C4C2×D4×C6111yescharacteristic
1405C22×C4C2×D4×C6111yescharacteristic
1406C22×C4C2×D4×C6111yescharacteristic
1407C22×C4C24×C6111yescharacteristic
1408C22×C4C24×C6111yescharacteristic
1409C22×C4C24×C6111yescharacteristic
1410C22×C4C24×C6111yescharacteristic
1411C22×C4C24×C6111yescharacteristic
1412Q16—41no—
1413Q16—41no—
1414SD16—41no—
1415SD16—41no—
1416SD16—41no—
1417SD16—41no—
1418D8—41no—
1419D8—41no—
1420M16—41no—
1421M16—41no—
1422M16—41no—
1423M16—41no—
1424M16—41no—
1425M16—41no—
1426C2×C8—41no—
1427C2×C8—41no—
1428C2×C8C24×C6111yescharacteristic
1429C2×C8C24×C6111yescharacteristic
1430C2×C8C24×C6111yescharacteristic
1431C2×C8C24×C6111yescharacteristic
1432C2×C8C24×C6111yescharacteristic
1433C2×C8C24×C6111yescharacteristic
1434C2×C8C24×C6111yescharacteristic
1435C2×C8C24×C6111yescharacteristic
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—21no—
1441C4⋊C4—21no—
1442C4⋊C4—21no—
1443C4⋊C4—21no—
1444C4⋊C4—21no—
1445C4⋊C4—21no—
1446C4⋊C4—21no—
1447C4⋊C4—21no—
1448C4⋊C4—21no—
1449C4⋊C4—21no—
1450C4⋊C4—21no—
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—21no—
1454C4⋊C4—21no—
1455C4⋊C4—21no—
1456C4⋊C4—21no—
1457C4⋊C4—21no—
1458C4⋊C4—21no—
1459C4⋊C4—21no—
1460C4⋊C4—21no—
1461C4⋊C4—21no—
1462C4⋊C4—21no—
1463C4⋊C4—21no—
1464C4⋊C4—21no—
1465C4⋊C4—21no—
1466C4⋊C4C2×D4×C6111yescharacteristic
1467C4⋊C4C2×D4×C6111yescharacteristic
1468C4⋊C4C2×D4×C6111yescharacteristic
1469C4⋊C4C2×D4×C6111yescharacteristic
1470C4⋊C4C2×D4×C6111yescharacteristic
1471C4⋊C4C2×D4×C6111yescharacteristic
1472C4⋊C4C24×C6111yescharacteristic
1473C4⋊C4C24×C6111yescharacteristic
1474C4⋊C4C24×C6111yescharacteristic
1475C4⋊C4C24×C6111yescharacteristic
1476C4⋊C4C24×C6111yescharacteristic
1477C4⋊C4C24×C6111yescharacteristic
1478C4⋊C4C24×C6111yescharacteristic
1479C4⋊C4C24×C6111yescharacteristic
1480C4⋊C4C24×C6111yescharacteristic
1481C4⋊C4C24×C6111yescharacteristic
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⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4C2×D4×C6111yescharacteristic
1518C22⋊C4C2×D4×C6111yescharacteristic
1519C22⋊C4C2×D4×C6111yescharacteristic
1520C22⋊C4C2×D4×C6111yescharacteristic
1521C22⋊C4C2×D4×C6111yescharacteristic
1522C22⋊C4C2×D4×C6111yescharacteristic
1523C22⋊C4C2×D4×C6111yescharacteristic
1524C22⋊C4C2×D4×C6111yescharacteristic
1525C22⋊C4C2×D4×C6111yescharacteristic
1526C22⋊C4C2×D4×C6111yescharacteristic
1527C42—21no—
1528C42—21no—
1529C42—21no—
1530C42—21no—
1531C42—21no—
1532C42—21no—
1533C42—21no—
1534C42—21no—
1535C42—21no—
1536C42—21no—
1537C42—21no—
1538C42C24×C6111yescharacteristic
1539C42C24×C6111yescharacteristic
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—41no—
1544C23—41no—
1545C23—41no—
1546C23—81no—
1547C23—81no—
1548C23—81no—
1549C23C22×D4×C6111yescharacteristic
1550C23C22×D4×C6111yescharacteristic
1551C23C22×D4×C6111yescharacteristic
1552C23C22×D4×C6111yescharacteristic
1553C23C22×D4×C6111yescharacteristic
1554Q8—21no—
1555Q8—21no—
1556Q8—21no—
1557Q8—21no—
1558Q8—21no—
1559Q8—21no—
1560Q8—41no—
1561Q8—81no—
1562Q8—81no—
1563Q8—81no—
1564Q8—81no—
1565Q8—81no—
1566D4—21no—
1567D4—21no—
1568D4—21no—
1569D4—21no—
1570D4—21no—
1571D4—21no—
1572D4—41no—
1573D4—41no—
1574D4—41no—
1575D4—41no—
1576D4—41no—
1577D4—41no—
1578D4—41no—
1579D4—42no—
1580D4—42no—
1581D4—42no—
1582D4—81no—
1583D4—81no—
1584D4—81no—
1585D4—81no—
1586D4—81no—
1587D4—81no—
1588D4—81no—
1589D4—81no—
1590D4—81no—
1591D4—81no—
1592D4—81no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—41no—
1617C2×C4—41no—
1618C2×C4—41no—
1619C2×C4—42no—
1620C2×C4—42no—
1621C2×C4—42no—
1622C2×C4—81no—
1623C2×C4—81no—
1624C2×C4—81no—
1625C2×C4—81no—
1626C2×C4—81no—
1627C2×C4—81no—
1628C2×C4—81no—
1629C2×C4—81no—
1630C2×C4—81no—
1631C2×C4—81no—
1632C2×C4—81no—
1633C2×C4—81no—
1634C2×C4—81no—
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×C4C22×D4×C6111yescharacteristic
1643C2×C4C22×D4×C6111yescharacteristic
1644C2×C4C25×C6111yescharacteristic
1645C8—21no—
1646C8—21no—
1647C8—21no—
1648C8—21no—
1649C8—21no—
1650C8—21no—
1651C8—21no—
1652C8—21no—
1653C22—21no—
1654C22—21no—
1655C22—21no—
1656C22—21no—
1657C22—21no—
1658C22—21no—
1659C22—21no—
1660C22—21no—
1661C22—21no—
1662C22—21no—
1663C22—21no—
1664C22—21no—
1665C22—21no—
1666C22—21no—
1667C22—21no—
1668C22—44no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—162no—
1679C22C23×D4×C6111yescharacteristic
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—
1700C4—41no—
1701C4—41no—
1702C4C61×#58511yescharacteristic
1703C4C61×#58511yescharacteristic
1704C2—41no—
1705C2—41no—
1706C2—41no—
1707C2—41no—
1708C2—41no—
1709C2—81no—
1710C2—81no—
1711C2—81no—
1712C2C61×#348511yescharacteristic
1713C2C61×#358511yescharacteristic
1714C2C61×#358611yescharacteristic
subgroupG/H
center, socleC22×C61C23×D4
commutator, Frattini, cosocleC2×C4C25×C61
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C61 ◁ C61×#525 ◁ G

Complements

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

NH ≅ G/Ntype
1. C61×#3540C2semidirect
2. C61×#3492C2semidirect
3. C61×#3357C2semidirect
4. C61×#3356C2semidirect
5. C61×#3354C2semidirect
6. C61×#3353C2semidirect
7. C61×#3350C2semidirect
8. C61×#3349C2semidirect
9. C61×#3348C2semidirect
10. C61×#3347C2semidirect
11. C61×#3327C2semidirect
12. C61×#3326C2semidirect
13. C61×#3323C2semidirect
14. C61×#3322C2semidirect
15. C61×#3316C2semidirect
16. C61×#3314C2semidirect
17. C61×#3308C2semidirect
18. C61×#3306C2semidirect
19. C61×#3244C2semidirect
20. C61×#3243C2semidirect
21. C61×#3201C2semidirect
22. C61×#3198C2semidirect
23. C61×#3197C2semidirect
24. C61×#3197C2semidirect
25. C61×#3125C2semidirect
26. C61×#3124C2semidirect
27. C61×#3097C2semidirect
28. C61×#3096C2semidirect
29. C61×#3092C2semidirect
30. C61×#3092C2semidirect
31. C61×#2978C2semidirect
41. C61×#554C22semidirect
44. C61×#553C22semidirect
47. C61×#552C22semidirect
53. C61×#547C22semidirect
56. C61×#544C22semidirect
73. C61×#525C22semidirect
75. C61×#520C22semidirect
76. C22×C4⋊C4×C61C22semidirect
77. C61×#501C22semidirect
78. C61×#501C22semidirect
79. C61×#500C22semidirect
80. C61×#498C22semidirect
81. C61×#489C22semidirect
82. C61×#489C22semidirect
83. C61×#488C22semidirect
84. C61×#488C22semidirect
85. C61×#485C22semidirect
86. C61×#485C22semidirect
87. C61×#485C22semidirect
88. C61×#485C22semidirect
89. C61×#485C22semidirect
90. C61×#485C22semidirect
91. C61×#485C22semidirect
92. C61×#485C22semidirect
93. C61×#484C22semidirect
94. C61×#484C22semidirect
95. C61×#484C22semidirect
96. C61×#484C22semidirect
97. C61×#484C22semidirect
98. C61×#483C22semidirect
99. C61×#483C22semidirect
100. C61×#483C22semidirect
101. C61×#483C22semidirect
102. C61×#483C22semidirect
105. C61×#482C22semidirect
106. C61×#482C22semidirect
107. C61×#482C22semidirect
108. C61×#482C22semidirect
109. C61×#482C22semidirect
110. C61×#482C22semidirect
115. C61×#481C22semidirect
120. C61×#480C22semidirect
121. C61×#479C22semidirect
122. C61×#479C22semidirect
123. C61×#478C22semidirect
124. C61×#478C22semidirect
125. C61×#477C22semidirect
126. C61×#477C22semidirect
127. C61×#476C22semidirect
128. C61×#476C22semidirect
129. C61×#475C22semidirect
130. C61×#475C22semidirect
131. C61×#474C22semidirect
132. C61×#474C22semidirect
133. C61×#470C22semidirect
134. C61×#470C22semidirect
135. C61×#470C22semidirect
138. C61×#469C22semidirect
141. C61×#468C22semidirect
142. C61×#468C22semidirect
143. C61×#468C22semidirect
144. C61×#468C22semidirect
145. C61×#467C22semidirect
146. C61×#466C22semidirect
147. C61×#465C22semidirect
148. C61×#465C22semidirect
149. C61×#464C22semidirect
150. C61×#464C22semidirect
151. C61×#463C22semidirect
152. C61×#463C22semidirect
155. C61×#452C22semidirect
156. C61×#452C22semidirect
157. C61×#451C22semidirect
158. C61×#450C22semidirect
163. C61×#448C22semidirect
164. C61×#447C22semidirect
165. C61×#442C22semidirect
166. C61×#441C22semidirect
167. C61×#440C22semidirect
168. C61×#440C22semidirect
169. C4×Q16×C61C22semidirect
170. C4×SD16×C61C22semidirect
171. C4×SD16×C61C22semidirect
172. C4×D8×C61C22semidirect
175. C61×#436C22semidirect
176. C61×#436C22semidirect
179. C61×#435C22semidirect
180. C61×#435C22semidirect
181. C61×#433C22semidirect
182. C61×#433C22semidirect
183. C61×#428C22semidirect
184. C61×#428C22semidirect
185. C61×#428C22semidirect
186. C61×#428C22semidirect
187. C61×#428C22semidirect
188. C61×#428C22semidirect
189. C61×#427C22semidirect
190. C61×#427C22semidirect
191. C61×#419C22semidirect
192. C61×#418C22semidirect
197. C2×#103×C61C22semidirect
198. C2×#102×C61C22semidirect
201. C61×#407C22semidirect
202. C61×#407C22semidirect
795. #61775C61direct (N × H)
847. #3540C2×C61semidirect
848. #3492C2×C61semidirect
849. #3357C2×C61semidirect
850. #3356C2×C61semidirect
851. #3354C2×C61semidirect
852. #3353C2×C61semidirect
853. #3350C2×C61semidirect
854. #3349C2×C61semidirect
855. #3348C2×C61semidirect
856. #3347C2×C61semidirect
857. #3327C2×C61semidirect
858. #3326C2×C61semidirect
859. #3323C2×C61semidirect
860. #3322C2×C61semidirect
861. #3316C2×C61semidirect
862. #3314C2×C61semidirect
863. #3308C2×C61semidirect
864. #3306C2×C61semidirect
865. #3244C2×C61semidirect
866. #3243C2×C61semidirect
867. #3201C2×C61semidirect
868. #3198C2×C61semidirect
869. #3197C2×C61semidirect
870. #3197C2×C61semidirect
871. #3125C2×C61semidirect
872. #3124C2×C61semidirect
873. #3097C2×C61semidirect
874. #3096C2×C61semidirect
875. #3092C2×C61semidirect
876. #3092C2×C61semidirect
877. #2978C2×C61semidirect
898. #554C22×C61semidirect
901. #553C22×C61semidirect
904. #552C22×C61semidirect
910. #547C22×C61semidirect
913. #544C22×C61semidirect
930. #525C22×C61semidirect
932. #520C22×C61semidirect
933. C22×C4⋊C4C22×C61semidirect
934. #501C22×C61semidirect
935. #501C22×C61semidirect
936. #500C22×C61semidirect
937. #498C22×C61semidirect
938. #489C22×C61semidirect
939. #489C22×C61semidirect
940. #488C22×C61semidirect
941. #488C22×C61semidirect
942. #485C22×C61semidirect
943. #485C22×C61semidirect
944. #485C22×C61semidirect
945. #485C22×C61semidirect
946. #485C22×C61semidirect
947. #485C22×C61semidirect
948. #485C22×C61semidirect
949. #485C22×C61semidirect
950. #484C22×C61semidirect
951. #484C22×C61semidirect
952. #484C22×C61semidirect
953. #484C22×C61semidirect
954. #484C22×C61semidirect
955. #483C22×C61semidirect
956. #483C22×C61semidirect
957. #483C22×C61semidirect
958. #483C22×C61semidirect
959. #483C22×C61semidirect
962. #482C22×C61semidirect
963. #482C22×C61semidirect
964. #482C22×C61semidirect
965. #482C22×C61semidirect
966. #482C22×C61semidirect
967. #482C22×C61semidirect
972. #481C22×C61semidirect
977. #480C22×C61semidirect
978. #479C22×C61semidirect
979. #479C22×C61semidirect
980. #478C22×C61semidirect
981. #478C22×C61semidirect
982. #477C22×C61semidirect
983. #477C22×C61semidirect
984. #476C22×C61semidirect
985. #476C22×C61semidirect
986. #475C22×C61semidirect
987. #475C22×C61semidirect
988. #474C22×C61semidirect
989. #474C22×C61semidirect
990. #470C22×C61semidirect
991. #470C22×C61semidirect
992. #470C22×C61semidirect
995. #469C22×C61semidirect
998. #468C22×C61semidirect
999. #468C22×C61semidirect
1000. #468C22×C61semidirect
1001. #468C22×C61semidirect
1002. #467C22×C61semidirect
1003. #466C22×C61semidirect
1004. #465C22×C61semidirect
1005. #465C22×C61semidirect
1006. #464C22×C61semidirect
1007. #464C22×C61semidirect
1008. #463C22×C61semidirect
1009. #463C22×C61semidirect
1012. #452C22×C61semidirect
1013. #452C22×C61semidirect
1014. #451C22×C61semidirect
1015. #450C22×C61semidirect
1020. #448C22×C61semidirect
1021. #447C22×C61semidirect
1022. #442C22×C61semidirect
1023. #441C22×C61semidirect
1024. #440C22×C61semidirect
1025. #440C22×C61semidirect
1026. C4×Q16C22×C61semidirect
1027. C4×SD16C22×C61semidirect
1028. C4×SD16C22×C61semidirect
1029. C4×D8C22×C61semidirect
1032. #436C22×C61semidirect
1033. #436C22×C61semidirect
1036. #435C22×C61semidirect
1037. #435C22×C61semidirect
1038. #433C22×C61semidirect
1039. #433C22×C61semidirect
1040. #428C22×C61semidirect
1041. #428C22×C61semidirect
1042. #428C22×C61semidirect
1043. #428C22×C61semidirect
1044. #428C22×C61semidirect
1045. #428C22×C61semidirect
1046. #427C22×C61semidirect
1047. #427C22×C61semidirect
1048. #419C22×C61semidirect
1049. #418C22×C61semidirect
1054. C2×#103C22×C61semidirect
1055. C2×#102C22×C61semidirect
1058. #407C22×C61semidirect
1059. #407C22×C61semidirect
1060. C61#61775direct (N × H)

Maximal subgroups

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

subgroupindex
C61×#35402
C61×#34922
C61×#33572
C61×#33562
C61×#33542
C61×#33532
C61×#33502
C61×#33492
C61×#33482
C61×#33472
C61×#33272
C61×#33262
C61×#33232
C61×#33222
C61×#33162
C61×#33142
C61×#33082
C61×#33062
C61×#32442
C61×#32432
C61×#32012
C61×#31982
C61×#31972
C61×#31252
C61×#31242
C61×#30972
C61×#30962
C61×#30922
C61×#29782
#6177561