Finite Group Databasebeta

← C61×#61813 #29565246

Subgroups — C61×#61813 #29565246

Order 15616.

1752 conjugacy classes of subgroups.

The subgroup lattice has 1732 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C61×#3546C211yesmaximal, characteristic, complemented
2C61×#3512C211yesmaximal, characteristic, complemented
3C61×#3355C211yesmaximal, characteristic, complemented
4C61×#3351C211yesmaximal, characteristic, complemented
5C61×#3350C211yesmaximal, characteristic, complemented
6C61×#3349C211yesmaximal, characteristic, complemented
7C61×#3345C211yesmaximal, characteristic, complemented
8C61×#3343C211yesmaximal, characteristic, complemented
9C61×#3339C211yesmaximal, characteristic, complemented
10C61×#3337C211yesmaximal, characteristic, complemented
11C61×#3323C211yesmaximal, characteristic, complemented
12C61×#3322C211yesmaximal, characteristic, complemented
13C61×#3318C211yesmaximal, characteristic, complemented
14C61×#3317C211yesmaximal, characteristic, complemented
15C61×#3310C211yesmaximal, characteristic, complemented
16C61×#3309C211yesmaximal, characteristic, complemented
17C61×#3297C211yesmaximal, characteristic, complemented
18C61×#3296C211yesmaximal, characteristic, complemented
19C61×#3234C211yesmaximal, characteristic, complemented
20C61×#3232C211yesmaximal, characteristic, complemented
21C61×#3204C211yesmaximal, characteristic, complemented
22C61×#3203C211yesmaximal, characteristic, complemented
23C61×#3198C211yesmaximal, characteristic, complemented
24C61×#3198C211yesmaximal, characteristic, complemented
25C61×#3111C211yesmaximal, characteristic, complemented
26C61×#3106C211yesmaximal, characteristic, complemented
27C61×#3099C211yesmaximal, characteristic, complemented
28C61×#3098C211yesmaximal, characteristic, complemented
29C61×#3096C211yesmaximal, characteristic, complemented
30C61×#3096C211yesmaximal, characteristic, complemented
31C61×#2981C211yesmaximal, characteristic, complemented
32C61×#560—21no—
33C61×#560—21no—
34C61×#556C2211yescharacteristic
35C61×#553—21no—
36C61×#553—21no—
37C61×#553—21no—
38C61×#553—21no—
39C61×#553C2211yescharacteristic
40C61×#553C2211yescharacteristic
41C61×#553C2211yescharacteristic
42C61×#553C2211yescharacteristic, complemented
43C61×#553C2211yescharacteristic, complemented
44C61×#553C2211yescharacteristic, complemented
45C61×#552C2211yescharacteristic
46C61×#552C2211yescharacteristic, complemented
47C61×#552C2211yescharacteristic, complemented
48C61×#552C2211yescharacteristic, complemented
49C61×#550—21no—
50C61×#550C2211yescharacteristic
51C61×#547C2211yescharacteristic
52C61×#546—21no—
53C61×#546C2211yescharacteristic
54C61×#546C2211yescharacteristic
55D42×C61C2211yescharacteristic
56C61×#542—21no—
57C61×#541—21no—
58C61×#540—21no—
59C61×#538—21no—
60C61×#538—21no—
61C61×#537C2211yescharacteristic
62C61×#537C2211yescharacteristic
63C61×#537C2211yescharacteristic, complemented
64C61×#537C2211yescharacteristic, complemented
65C61×#535—21no—
66C61×#535C2211yescharacteristic
67C61×#535C2211yescharacteristic
68C61×#532C2211yescharacteristic
69C61×#532C2211yescharacteristic
70C61×#529—21no—
71C61×#529—21no—
72C61×#529C2211yescharacteristic
73C2×#125×C61C2211yescharacteristic, complemented
74C61×#520C2211yescharacteristic, complemented
75C61×#520C2211yescharacteristic, complemented
76C4×#41×C61C2211yescharacteristic, complemented
77C61×#501C2211yescharacteristic, complemented
78C61×#501C2211yescharacteristic, complemented
79C61×#499C2211yescharacteristic, complemented
80C61×#499C2211yescharacteristic, complemented
81C61×#490C2211yescharacteristic
82C61×#490C2211yescharacteristic
83C61×#488C2211yescharacteristic
84C61×#488C2211yescharacteristic
85C61×#485C2211yescharacteristic, complemented
86C61×#485C2211yescharacteristic, complemented
87C61×#485C2211yescharacteristic, complemented
88C61×#485C2211yescharacteristic, complemented
89C61×#485C2211yescharacteristic, complemented
90C61×#484C2211yescharacteristic, complemented
91C61×#484C2211yescharacteristic, complemented
92C61×#484C2211yescharacteristic, complemented
93C61×#483C2211yescharacteristic, complemented
94C61×#483C2211yescharacteristic, complemented
95C61×#483C2211yescharacteristic, complemented
96C61×#482C2211yescharacteristic
97C61×#482C2211yescharacteristic
98C61×#482C2211yescharacteristic
99C61×#482C2211yescharacteristic
100C61×#482C2211yescharacteristic
101C61×#482C2211yescharacteristic, complemented
102C61×#482C2211yescharacteristic, complemented
103C61×#482C2211yescharacteristic, complemented
104C61×#482C2211yescharacteristic, complemented
105C61×#482C2211yescharacteristic, complemented
106C61×#482C2211yescharacteristic, complemented
107C61×#481C2211yescharacteristic
108C61×#481C2211yescharacteristic
109C61×#481C2211yescharacteristic
110C61×#481C2211yescharacteristic, complemented
111C61×#481C2211yescharacteristic, complemented
112C61×#481C2211yescharacteristic, complemented
113C61×#481C2211yescharacteristic, complemented
114C61×#480C2211yescharacteristic
115C61×#480C2211yescharacteristic
116C61×#480C2211yescharacteristic
117C61×#480C2211yescharacteristic, complemented
118C61×#480C2211yescharacteristic, complemented
119C61×#480C2211yescharacteristic, complemented
120C61×#480C2211yescharacteristic, complemented
121C61×#479C2211yescharacteristic, complemented
122C61×#479C2211yescharacteristic, complemented
123C61×#479C2211yescharacteristic, complemented
124C61×#478C2211yescharacteristic
125C61×#478C2211yescharacteristic
126C61×#478C2211yescharacteristic, complemented
127C61×#478C2211yescharacteristic, complemented
128C61×#478C2211yescharacteristic, complemented
129C61×#478C2211yescharacteristic, complemented
130C61×#478C2211yescharacteristic, complemented
131C61×#477C2211yescharacteristic, complemented
132C61×#476C2211yescharacteristic, complemented
133C61×#470C2211yescharacteristic, complemented
134C61×#469C2211yescharacteristic
135C61×#469C2211yescharacteristic
136C61×#469C2211yescharacteristic, complemented
137C61×#468C2211yescharacteristic
138C61×#468C2211yescharacteristic
139C61×#468C2211yescharacteristic, complemented
140C61×#468C2211yescharacteristic, complemented
141C61×#467C2211yescharacteristic, complemented
142C61×#466C2211yescharacteristic
143C61×#466C2211yescharacteristic
144C61×#466C2211yescharacteristic, complemented
145C61×#465C2211yescharacteristic
146C61×#465C2211yescharacteristic
147C61×#465C2211yescharacteristic, complemented
148C61×#465C2211yescharacteristic, complemented
149C61×#464C2211yescharacteristic
150C61×#463C2211yescharacteristic
151C61×#460C2211yescharacteristic
152C61×#459C2211yescharacteristic
153C61×#452C2211yescharacteristic, complemented
154C61×#452C2211yescharacteristic, complemented
155C61×#452C2211yescharacteristic, complemented
156C61×#450C2211yescharacteristic
157C61×#450C2211yescharacteristic
158C61×#449C2211yescharacteristic
159C61×#449C2211yescharacteristic, complemented
160C61×#449C2211yescharacteristic, complemented
161C61×#449C2211yescharacteristic, complemented
162C61×#449C2211yescharacteristic, complemented
163C61×#447C2211yescharacteristic
164C61×#447C2211yescharacteristic
165C61×#442C2211yescharacteristic
166C61×#441C2211yescharacteristic, complemented
167C61×#440C2211yescharacteristic
168C61×#440C2211yescharacteristic, complemented
169C4×SD16×C61C2211yescharacteristic, complemented
170C4×SD16×C61C2211yescharacteristic, complemented
171C4×D8×C61C2211yescharacteristic, complemented
172C4×D8×C61C2211yescharacteristic, complemented
173C61×#436C2211yescharacteristic, complemented
174C61×#436C2211yescharacteristic, complemented
175C61×#435C2211yescharacteristic
176C61×#435C2211yescharacteristic
177C61×#435C2211yescharacteristic, complemented
178C61×#435C2211yescharacteristic, complemented
179C8×D4×C61C2211yescharacteristic, complemented
180C8×D4×C61C2211yescharacteristic, complemented
181C61×#432C2211yescharacteristic, complemented
182C61×#431C2211yescharacteristic, complemented
183C61×#428C2211yescharacteristic, complemented
184C61×#428C2211yescharacteristic, complemented
185C61×#428C2211yescharacteristic, complemented
186C61×#428C2211yescharacteristic, complemented
187C61×#427C2211yescharacteristic, complemented
188C61×#427C2211yescharacteristic, complemented
189C2×#107×C61C2211yescharacteristic, complemented
190C2×#106×C61C2211yescharacteristic, complemented
191C61×#418C2211yescharacteristic
192C61×#418C2211yescharacteristic
193C61×#417C2211yescharacteristic, complemented
194C61×#417C2211yescharacteristic, complemented
195C61×#416C2211yescharacteristic, complemented
196C61×#416C2211yescharacteristic, complemented
197C2×#102×C61C2211yescharacteristic
198C2×#102×C61C2211yescharacteristic
199C61×#408C2211yescharacteristic, complemented
200C61×#408C2211yescharacteristic, complemented
201C61×#408C2211yescharacteristic, complemented
202C61×#408C2211yescharacteristic, complemented
203C2×#41×C61—21no—
204C2×#41×C61—21no—
205C2×#41×C61C2311yescharacteristic
206C2×#41×C61C2311yescharacteristic
207C2×#41×C61C2311yescharacteristic
208C2×#41×C61C2311yescharacteristic
209C2×#41×C61C2311yescharacteristic
210C22×D4×C61—21no—
211C22×D4×C61C2311yescharacteristic
212C22×D4×C61C2311yescharacteristic
213C2×Q16×C61C2311yescharacteristic
214C2×SD16×C61C2311yescharacteristic
215C2×SD16×C61C2311yescharacteristic
216C2×SD16×C61C2311yescharacteristic
217C2×SD16×C61C2311yescharacteristic
218C2×D8×C61C2311yescharacteristic
219C2×D8×C61C2311yescharacteristic
220C2×D8×C61C2311yescharacteristic
221C2×M16×C61C2311yescharacteristic
222C2×M16×C61C2311yescharacteristic
223C2×M16×C61C2311yescharacteristic
224C2×M16×C61C2311yescharacteristic
225C22×C8×C61C2311yescharacteristic
226C22×C8×C61C2311yescharacteristic
227C22×C8×C61C2311yescharacteristic
228C22×C8×C61C2311yescharacteristic
229C4⋊Q8×C61D411yescharacteristic
230C4⋊Q8×C61C2311yescharacteristic
231#127×C61—21no—
232#127×C61—21no—
233#127×C61—21no—
234#127×C61D411yescharacteristic
235#127×C61C2311yescharacteristic
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#126×C61—21no—
247#126×C61—21no—
248#126×C61—21no—
249#125×C61—21no—
250#125×C61—21no—
251#125×C61—21no—
252#125×C61—21no—
253#125×C61—21no—
254#125×C61—21no—
255#125×C61C2311yescharacteristic
256#125×C61C2311yescharacteristic
257#125×C61C2311yescharacteristic
258#125×C61C2311yescharacteristic
259#125×C61C2311yescharacteristic
260#124×C61—21no—
261#124×C61—21no—
262#124×C61—21no—
263#124×C61—21no—
264#124×C61D411yescharacteristic
265#124×C61D411yescharacteristic
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—
282C22⋊Q8×C61—21no—
283C22⋊Q8×C61—21no—
284C22⋊Q8×C61—21no—
285C22⋊Q8×C61—21no—
286C22⋊Q8×C61—21no—
287C22⋊Q8×C61C2311yescharacteristic
288C22⋊Q8×C61C2311yescharacteristic
289C22⋊Q8×C61C2311yescharacteristic
290C22⋊Q8×C61C2311yescharacteristic
291C22⋊Q8×C61C2311yescharacteristic
292C22⋊Q8×C61C2311yescharacteristic
293C22⋊Q8×C61C2311yescharacteristic
294#121×C61—21no—
295#121×C61—21no—
296#121×C61—21no—
297#121×C61—21no—
298#121×C61—21no—
299#121×C61—21no—
300#121×C61—21no—
301#121×C61—21no—
302#121×C61—21no—
303#121×C61—21no—
304#121×C61—21no—
305#121×C61—21no—
306#121×C61—21no—
307#121×C61—21no—
308#121×C61—21no—
309#121×C61—21no—
310#121×C61—21no—
311#121×C61—21no—
312#121×C61—21no—
313#121×C61—21no—
314#121×C61—21no—
315#121×C61—21no—
316#121×C61—21no—
317#121×C61—21no—
318#121×C61D411yescharacteristic
319#121×C61D411yescharacteristic
320#121×C61D411yescharacteristic
321#121×C61D411yescharacteristic
322#121×C61C2311yescharacteristic
323#121×C61C2311yescharacteristic
324#121×C61C2311yescharacteristic
325#121×C61C2311yescharacteristic
326#121×C61C2311yescharacteristic
327#121×C61C2311yescharacteristic
328#121×C61C2311yescharacteristic
329#121×C61C2311yescharacteristic
330#121×C61C2311yescharacteristic
331#121×C61C2311yescharacteristic
332#121×C61C2311yescharacteristic
333#121×C61C2311yescharacteristic
334#121×C61C2311yescharacteristic
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×C61—21no—
342#120×C61—21no—
343C4×Q8×C61—21no—
344C4×Q8×C61—21no—
345C4×Q8×C61—21no—
346C4×Q8×C61C2311yescharacteristic
347C4×Q8×C61C2311yescharacteristic
348C4×Q8×C61C2311yescharacteristic
349C4×D4×C61—21no—
350C4×D4×C61—21no—
351C4×D4×C61—21no—
352C4×D4×C61—21no—
353C4×D4×C61—21no—
354C4×D4×C61—21no—
355C4×D4×C61—21no—
356C4×D4×C61—21no—
357C4×D4×C61—21no—
358C4×D4×C61—21no—
359C4×D4×C61—21no—
360C4×D4×C61—21no—
361C4×D4×C61—21no—
362C4×D4×C61—21no—
363C4×D4×C61—21no—
364C4×D4×C61—21no—
365C4×D4×C61—21no—
366C4×D4×C61C2311yescharacteristic
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×C61—21no—
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×C61C2311yescharacteristic
391C2×C4⋊C4×C61C2311yescharacteristic
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×C22⋊C4×C61—21no—
399C2×C22⋊C4×C61—21no—
400C2×C42×C61—21no—
401C2×C42×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#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#102×C61C2311yescharacteristic
441#102×C61C2311yescharacteristic
442#102×C61C2311yescharacteristic
443#102×C61C2311yescharacteristic
444#102×C61C2311yescharacteristic
445#102×C61C2311yescharacteristic
446#102×C61C2311yescharacteristic
447#102×C61C2311yescharacteristic
448#102×C61C2311yescharacteristic
449#102×C61C2311yescharacteristic
450#102×C61C2311yescharacteristic
451#102×C61C2311yescharacteristic
452#102×C61C2311yescharacteristic
453#102×C61C2311yescharacteristic
454#102×C61C2311yescharacteristic
455#102×C61C2311yescharacteristic
456#102×C61C2311yescharacteristic
457#102×C61C2311yescharacteristic
458#102×C61C2311yescharacteristic
459#102×C61C2311yescharacteristic
460#102×C61C2311yescharacteristic
461#102×C61C2311yescharacteristic
462C22⋊C8×C61C2311yescharacteristic
463C22⋊C8×C61C2311yescharacteristic
464C22⋊C8×C61C2311yescharacteristic
465C22⋊C8×C61C2311yescharacteristic
466C22⋊C8×C61C2311yescharacteristic
467C22⋊C8×C61C2311yescharacteristic
468C22⋊C8×C61C2311yescharacteristic
469C22⋊C8×C61C2311yescharacteristic
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×C61—21no—
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—41no—
489#41×C61—41no—
490#41×C61—82no—
491#41×C61—82no—
492C2×Q8×C61—21no—
493C2×Q8×C61C2×D411yescharacteristic
494C2×Q8×C61C2×D411yescharacteristic
495C2×Q8×C61C2411yescharacteristic
496C2×Q8×C61C2411yescharacteristic
497C2×D4×C61—21no—
498C2×D4×C61—21no—
499C2×D4×C61—21no—
500C2×D4×C61—21no—
501C2×D4×C61—21no—
502C2×D4×C61—21no—
503C2×D4×C61—21no—
504C2×D4×C61—21no—
505C2×D4×C61—21no—
506C2×D4×C61—21no—
507C2×D4×C61—21no—
508C2×D4×C61—21no—
509C2×D4×C61—21no—
510C2×D4×C61—21no—
511C2×D4×C61—21no—
512C2×D4×C61—21no—
513C2×D4×C61—21no—
514C2×D4×C61—21no—
515C2×D4×C61—21no—
516C2×D4×C61—21no—
517C2×D4×C61—41no—
518C2×D4×C61—41no—
519C2×D4×C61—41no—
520C2×D4×C61—41no—
521C2×D4×C61—82no—
522C2×D4×C61C2×D411yescharacteristic
523C2×D4×C61C2×D411yescharacteristic
524C2×D4×C61C2×D411yescharacteristic
525C2×D4×C61C2×D411yescharacteristic
526C2×D4×C61C2×D411yescharacteristic
527C2×D4×C61C2×D411yescharacteristic
528C2×D4×C61C2×D411yescharacteristic
529C2×D4×C61C2×D411yescharacteristic
530C2×D4×C61C2×D411yescharacteristic
531C2×D4×C61C2×D411yescharacteristic
532C2×D4×C61C2411yescharacteristic
533C2×D4×C61C2411yescharacteristic
534C2×D4×C61C2411yescharacteristic
535C2×D4×C61C2411yescharacteristic
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—21no—
544C22×C4×C61—21no—
545C22×C4×C61—21no—
546C22×C4×C61—21no—
547C22×C4×C61—21no—
548C22×C4×C61—21no—
549C22×C4×C61—21no—
550C22×C4×C61—21no—
551C22×C4×C61—21no—
552C22×C4×C61C2×D411yescharacteristic
553C22×C4×C61C2×D411yescharacteristic
554C22×C4×C61C2411yescharacteristic
555C22×C4×C61C2411yescharacteristic
556C22×C4×C61C2411yescharacteristic
557C22×C4×C61C2411yescharacteristic
558C22×C4×C61C2411yescharacteristic
559Q16×C61—41no—
560SD16×C61—41no—
561SD16×C61—41no—
562SD16×C61—41no—
563SD16×C61—41no—
564D8×C61—41no—
565D8×C61—41no—
566D8×C61—41no—
567M16×C61—41no—
568M16×C61—41no—
569M16×C61—41no—
570M16×C61—41no—
571C2×C8×C61—41no—
572C2×C8×C61—41no—
573C2×C8×C61—41no—
574C2×C8×C61—41no—
575C2×C8×C61C2411yescharacteristic
576C2×C8×C61C2411yescharacteristic
577C2×C8×C61C2411yescharacteristic
578C2×C8×C61C2411yescharacteristic
579C2×C8×C61C2411yescharacteristic
580C2×C8×C61C2411yescharacteristic
581C2×C8×C61C2411yescharacteristic
582C2×C8×C61C2411yescharacteristic
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×C61—21no—
609C4⋊C4×C61—21no—
610C4⋊C4×C61—21no—
611C4⋊C4×C61—21no—
612C4⋊C4×C61C2×D411yescharacteristic
613C4⋊C4×C61C2×D411yescharacteristic
614C4⋊C4×C61C2×D411yescharacteristic
615C4⋊C4×C61C2×D411yescharacteristic
616C4⋊C4×C61C2411yescharacteristic
617C4⋊C4×C61C2411yescharacteristic
618C4⋊C4×C61C2411yescharacteristic
619C4⋊C4×C61C2411yescharacteristic
620C4⋊C4×C61C2411yescharacteristic
621C4⋊C4×C61C2411yescharacteristic
622C4⋊C4×C61C2411yescharacteristic
623C4⋊C4×C61C2411yescharacteristic
624C4⋊C4×C61C2411yescharacteristic
625C4⋊C4×C61C2411yescharacteristic
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×C61—21no—
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
668C42×C61—21no—
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×C61C2×D411yescharacteristic
679C42×C61C2×D411yescharacteristic
680C42×C61C2411yescharacteristic
681C42×C61C2411yescharacteristic
682C23×C61—21no—
683C23×C61—21no—
684C23×C61—21no—
685C23×C61—21no—
686C23×C61—81no—
687C23×C61—81no—
688C23×C61—81no—
689C23×C61—81no—
690C23×C61—81no—
691C23×C61—81no—
692C23×C61C22×D411yescharacteristic
693C23×C61C22×D411yescharacteristic
694C23×C61C22×D411yescharacteristic
695C23×C61C22×D411yescharacteristic
696C23×C61C22×D411yescharacteristic
697Q8×C61—21no—
698Q8×C61—21no—
699Q8×C61—21no—
700Q8×C61—21no—
701Q8×C61—41no—
702Q8×C61—41no—
703Q8×C61—42no—
704D4×C61—21no—
705D4×C61—21no—
706D4×C61—21no—
707D4×C61—21no—
708D4×C61—21no—
709D4×C61—21no—
710D4×C61—21no—
711D4×C61—21no—
712D4×C61—41no—
713D4×C61—41no—
714D4×C61—41no—
715D4×C61—41no—
716D4×C61—41no—
717D4×C61—41no—
718D4×C61—41no—
719D4×C61—41no—
720D4×C61—41no—
721D4×C61—41no—
722D4×C61—42no—
723D4×C61—42no—
724D4×C61—81no—
725D4×C61—81no—
726D4×C61—81no—
727D4×C61—81no—
728D4×C61—81no—
729D4×C61—81no—
730D4×C61—81no—
731D4×C61—81no—
732D4×C61—81no—
733D4×C61—81no—
734D4×C61—81no—
735D4×C61—81no—
736D4×C61—81no—
737D4×C61—81no—
738D4×C61—81no—
739D4×C61—81no—
740D4×C61—81no—
741D4×C61—81no—
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—21no—
759C2×C4×C61—21no—
760C2×C4×C61—21no—
761C2×C4×C61—21no—
762C2×C4×C61—21no—
763C2×C4×C61—21no—
764C2×C4×C61—41no—
765C2×C4×C61—41no—
766C2×C4×C61—42no—
767C2×C4×C61—42no—
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×C61—81no—
778C2×C4×C61—81no—
779C2×C4×C61—81no—
780C2×C4×C61—81no—
781C2×C4×C61—81no—
782C2×C4×C61C22×D411yescharacteristic
783C2×C4×C61C22×D411yescharacteristic
784C2×C4×C61C22×D411yescharacteristic
785C2×C4×C61C22×D411yescharacteristic
786C2×C4×C61C22×D411yescharacteristic
787C2×C4×C61C22×D411yescharacteristic
788C2×C4×C61C22×D411yescharacteristic
789C2×C4×C61C22×D411yescharacteristic
790C2×C4×C61C22×D411yescharacteristic
791C2×C4×C61C2511yescharacteristic
792C8×C61—21no—
793C8×C61—21no—
794C8×C61—21no—
795C8×C61—21no—
796C8×C61—21no—
797C8×C61—21no—
798C8×C61—21no—
799C8×C61—21no—
800#61813C6111yesmaximal, characteristic, direct product factor, Sylow
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—21no—
812C22×C61—21no—
813C22×C61—21no—
814C22×C61—21no—
815C22×C61—21no—
816C22×C61—41no—
817C22×C61—41no—
818C22×C61—41no—
819C22×C61—41no—
820C22×C61—41no—
821C22×C61—41no—
822C22×C61—41no—
823C22×C61—41no—
824C22×C61—41no—
825C22×C61—41no—
826C22×C61—41no—
827C22×C61—41no—
828C22×C61—162no—
829C22×C61—162no—
830C22×C61C23×D411yescharacteristic
831C4×C61—21no—
832C4×C61—21no—
833C4×C61—21no—
834C4×C61—21no—
835C4×C61—21no—
836C4×C61—21no—
837C4×C61—21no—
838C4×C61—21no—
839C4×C61—21no—
840C4×C61—41no—
841C4×C61—41no—
842C4×C61—41no—
843C4×C61—41no—
844C4×C61—41no—
845C4×C61—41no—
846C4×C61—41no—
847C4×C61—41no—
848C4×C61—41no—
849C4×C61—41no—
850C4×C61—41no—
851C4×C61—41no—
852C4×C61#58511yescharacteristic
853C4×C61#58511yescharacteristic
854#3546C2×C6111yescharacteristic, complemented
855#3512C2×C6111yescharacteristic, complemented
856#3355C2×C6111yescharacteristic, complemented
857#3351C2×C6111yescharacteristic, complemented
858#3350C2×C6111yescharacteristic, complemented
859#3349C2×C6111yescharacteristic, complemented
860#3345C2×C6111yescharacteristic, complemented
861#3343C2×C6111yescharacteristic, complemented
862#3339C2×C6111yescharacteristic, complemented
863#3337C2×C6111yescharacteristic, complemented
864#3323C2×C6111yescharacteristic, complemented
865#3322C2×C6111yescharacteristic, complemented
866#3318C2×C6111yescharacteristic, complemented
867#3317C2×C6111yescharacteristic, complemented
868#3310C2×C6111yescharacteristic, complemented
869#3309C2×C6111yescharacteristic, complemented
870#3297C2×C6111yescharacteristic, complemented
871#3296C2×C6111yescharacteristic, complemented
872#3234C2×C6111yescharacteristic, complemented
873#3232C2×C6111yescharacteristic, complemented
874#3204C2×C6111yescharacteristic, complemented
875#3203C2×C6111yescharacteristic, complemented
876#3198C2×C6111yescharacteristic, complemented
877#3198C2×C6111yescharacteristic, complemented
878#3111C2×C6111yescharacteristic, complemented
879#3106C2×C6111yescharacteristic, complemented
880#3099C2×C6111yescharacteristic, complemented
881#3098C2×C6111yescharacteristic, complemented
882#3096C2×C6111yescharacteristic, complemented
883#3096C2×C6111yescharacteristic, complemented
884#2981C2×C6111yescharacteristic, complemented
885C2×C61—41no—
886C2×C61—41no—
887C2×C61—41no—
888C2×C61—41no—
889C2×C61—41no—
890C2×C61—81no—
891C2×C61—81no—
892C2×C61—81no—
893C2×C61—81no—
894C2×C61#348511yescharacteristic
895C2×C61#358411yescharacteristic
896C2×C61#358511yescharacteristic
897#560—21no—
898#560—21no—
899#556C22×C6111yescharacteristic
900#553—21no—
901#553—21no—
902#553—21no—
903#553—21no—
904#553C22×C6111yescharacteristic
905#553C22×C6111yescharacteristic
906#553C22×C6111yescharacteristic
907#553C22×C6111yescharacteristic, complemented
908#553C22×C6111yescharacteristic, complemented
909#553C22×C6111yescharacteristic, complemented
910#552C22×C6111yescharacteristic
911#552C22×C6111yescharacteristic, complemented
912#552C22×C6111yescharacteristic, complemented
913#552C22×C6111yescharacteristic, complemented
914#550—21no—
915#550C22×C6111yescharacteristic
916#547C22×C6111yescharacteristic
917#546—21no—
918#546C22×C6111yescharacteristic
919#546C22×C6111yescharacteristic
920D42C22×C6111yescharacteristic
921#542—21no—
922#541—21no—
923#540—21no—
924#538—21no—
925#538—21no—
926#537C22×C6111yescharacteristic
927#537C22×C6111yescharacteristic
928#537C22×C6111yescharacteristic, complemented
929#537C22×C6111yescharacteristic, complemented
930#535—21no—
931#535C22×C6111yescharacteristic
932#535C22×C6111yescharacteristic
933#532C22×C6111yescharacteristic
934#532C22×C6111yescharacteristic
935#529—21no—
936#529—21no—
937#529C22×C6111yescharacteristic
938C2×#125C22×C6111yescharacteristic, complemented
939#520C22×C6111yescharacteristic, complemented
940#520C22×C6111yescharacteristic, complemented
941C4×#41C22×C6111yescharacteristic, complemented
942#501C22×C6111yescharacteristic, complemented
943#501C22×C6111yescharacteristic, complemented
944#499C22×C6111yescharacteristic, complemented
945#499C22×C6111yescharacteristic, complemented
946#490C22×C6111yescharacteristic
947#490C22×C6111yescharacteristic
948#488C22×C6111yescharacteristic
949#488C22×C6111yescharacteristic
950#485C22×C6111yescharacteristic, complemented
951#485C22×C6111yescharacteristic, complemented
952#485C22×C6111yescharacteristic, complemented
953#485C22×C6111yescharacteristic, complemented
954#485C22×C6111yescharacteristic, complemented
955#484C22×C6111yescharacteristic, complemented
956#484C22×C6111yescharacteristic, complemented
957#484C22×C6111yescharacteristic, complemented
958#483C22×C6111yescharacteristic, complemented
959#483C22×C6111yescharacteristic, complemented
960#483C22×C6111yescharacteristic, complemented
961#482C22×C6111yescharacteristic
962#482C22×C6111yescharacteristic
963#482C22×C6111yescharacteristic
964#482C22×C6111yescharacteristic
965#482C22×C6111yescharacteristic
966#482C22×C6111yescharacteristic, complemented
967#482C22×C6111yescharacteristic, complemented
968#482C22×C6111yescharacteristic, complemented
969#482C22×C6111yescharacteristic, complemented
970#482C22×C6111yescharacteristic, complemented
971#482C22×C6111yescharacteristic, complemented
972#481C22×C6111yescharacteristic
973#481C22×C6111yescharacteristic
974#481C22×C6111yescharacteristic
975#481C22×C6111yescharacteristic, complemented
976#481C22×C6111yescharacteristic, complemented
977#481C22×C6111yescharacteristic, complemented
978#481C22×C6111yescharacteristic, complemented
979#480C22×C6111yescharacteristic
980#480C22×C6111yescharacteristic
981#480C22×C6111yescharacteristic
982#480C22×C6111yescharacteristic, complemented
983#480C22×C6111yescharacteristic, complemented
984#480C22×C6111yescharacteristic, complemented
985#480C22×C6111yescharacteristic, complemented
986#479C22×C6111yescharacteristic, complemented
987#479C22×C6111yescharacteristic, complemented
988#479C22×C6111yescharacteristic, complemented
989#478C22×C6111yescharacteristic
990#478C22×C6111yescharacteristic
991#478C22×C6111yescharacteristic, complemented
992#478C22×C6111yescharacteristic, complemented
993#478C22×C6111yescharacteristic, complemented
994#478C22×C6111yescharacteristic, complemented
995#478C22×C6111yescharacteristic, complemented
996#477C22×C6111yescharacteristic, complemented
997#476C22×C6111yescharacteristic, complemented
998#470C22×C6111yescharacteristic, complemented
999#469C22×C6111yescharacteristic
1000#469C22×C6111yescharacteristic
1001#469C22×C6111yescharacteristic, complemented
1002#468C22×C6111yescharacteristic
1003#468C22×C6111yescharacteristic
1004#468C22×C6111yescharacteristic, complemented
1005#468C22×C6111yescharacteristic, complemented
1006#467C22×C6111yescharacteristic, complemented
1007#466C22×C6111yescharacteristic
1008#466C22×C6111yescharacteristic
1009#466C22×C6111yescharacteristic, complemented
1010#465C22×C6111yescharacteristic
1011#465C22×C6111yescharacteristic
1012#465C22×C6111yescharacteristic, complemented
1013#465C22×C6111yescharacteristic, complemented
1014#464C22×C6111yescharacteristic
1015#463C22×C6111yescharacteristic
1016#460C22×C6111yescharacteristic
1017#459C22×C6111yescharacteristic
1018#452C22×C6111yescharacteristic, complemented
1019#452C22×C6111yescharacteristic, complemented
1020#452C22×C6111yescharacteristic, complemented
1021#450C22×C6111yescharacteristic
1022#450C22×C6111yescharacteristic
1023#449C22×C6111yescharacteristic
1024#449C22×C6111yescharacteristic, complemented
1025#449C22×C6111yescharacteristic, complemented
1026#449C22×C6111yescharacteristic, complemented
1027#449C22×C6111yescharacteristic, complemented
1028#447C22×C6111yescharacteristic
1029#447C22×C6111yescharacteristic
1030#442C22×C6111yescharacteristic
1031#441C22×C6111yescharacteristic, complemented
1032#440C22×C6111yescharacteristic
1033#440C22×C6111yescharacteristic, complemented
1034C4×SD16C22×C6111yescharacteristic, complemented
1035C4×SD16C22×C6111yescharacteristic, complemented
1036C4×D8C22×C6111yescharacteristic, complemented
1037C4×D8C22×C6111yescharacteristic, complemented
1038#436C22×C6111yescharacteristic, complemented
1039#436C22×C6111yescharacteristic, complemented
1040#435C22×C6111yescharacteristic
1041#435C22×C6111yescharacteristic
1042#435C22×C6111yescharacteristic, complemented
1043#435C22×C6111yescharacteristic, complemented
1044C8×D4C22×C6111yescharacteristic, complemented
1045C8×D4C22×C6111yescharacteristic, complemented
1046#432C22×C6111yescharacteristic, complemented
1047#431C22×C6111yescharacteristic, complemented
1048#428C22×C6111yescharacteristic, complemented
1049#428C22×C6111yescharacteristic, complemented
1050#428C22×C6111yescharacteristic, complemented
1051#428C22×C6111yescharacteristic, complemented
1052#427C22×C6111yescharacteristic, complemented
1053#427C22×C6111yescharacteristic, complemented
1054C2×#107C22×C6111yescharacteristic, complemented
1055C2×#106C22×C6111yescharacteristic, complemented
1056#418C22×C6111yescharacteristic
1057#418C22×C6111yescharacteristic
1058#417C22×C6111yescharacteristic, complemented
1059#417C22×C6111yescharacteristic, complemented
1060#416C22×C6111yescharacteristic, complemented
1061#416C22×C6111yescharacteristic, complemented
1062C2×#102C22×C6111yescharacteristic
1063C2×#102C22×C6111yescharacteristic
1064#408C22×C6111yescharacteristic, complemented
1065#408C22×C6111yescharacteristic, complemented
1066#408C22×C6111yescharacteristic, complemented
1067#408C22×C6111yescharacteristic, complemented
1068C61#6181311yescharacteristic, direct product factor, Sylow
1069C2×#41—21no—
1070C2×#41—21no—
1071C2×#41C23×C6111yescharacteristic
1072C2×#41C23×C6111yescharacteristic
1073C2×#41C23×C6111yescharacteristic
1074C2×#41C23×C6111yescharacteristic
1075C2×#41C23×C6111yescharacteristic
1076C22×D4—21no—
1077C22×D4C23×C6111yescharacteristic
1078C22×D4C23×C6111yescharacteristic
1079C2×Q16C23×C6111yescharacteristic
1080C2×SD16C23×C6111yescharacteristic
1081C2×SD16C23×C6111yescharacteristic
1082C2×SD16C23×C6111yescharacteristic
1083C2×SD16C23×C6111yescharacteristic
1084C2×D8C23×C6111yescharacteristic
1085C2×D8C23×C6111yescharacteristic
1086C2×D8C23×C6111yescharacteristic
1087C2×M16C23×C6111yescharacteristic
1088C2×M16C23×C6111yescharacteristic
1089C2×M16C23×C6111yescharacteristic
1090C2×M16C23×C6111yescharacteristic
1091C22×C8C23×C6111yescharacteristic
1092C22×C8C23×C6111yescharacteristic
1093C22×C8C23×C6111yescharacteristic
1094C22×C8C23×C6111yescharacteristic
1095C4⋊Q8D4×C6111yescharacteristic
1096C4⋊Q8C23×C6111yescharacteristic
1097#127—21no—
1098#127—21no—
1099#127—21no—
1100#127D4×C6111yescharacteristic
1101#127C23×C6111yescharacteristic
1102#126—21no—
1103#126—21no—
1104#126—21no—
1105#126—21no—
1106#126—21no—
1107#126—21no—
1108#126—21no—
1109#126—21no—
1110#126—21no—
1111#126—21no—
1112#126—21no—
1113#126—21no—
1114#126—21no—
1115#125—21no—
1116#125—21no—
1117#125—21no—
1118#125—21no—
1119#125—21no—
1120#125—21no—
1121#125C23×C6111yescharacteristic
1122#125C23×C6111yescharacteristic
1123#125C23×C6111yescharacteristic
1124#125C23×C6111yescharacteristic
1125#125C23×C6111yescharacteristic
1126#124—21no—
1127#124—21no—
1128#124—21no—
1129#124—21no—
1130#124D4×C6111yescharacteristic
1131#124D4×C6111yescharacteristic
1132#124C23×C6111yescharacteristic
1133#123—21no—
1134#123—21no—
1135#123—21no—
1136#123—21no—
1137#123—21no—
1138#123—21no—
1139#123—21no—
1140#123—21no—
1141#123—21no—
1142#123—21no—
1143#123—21no—
1144#123—21no—
1145#123—21no—
1146#123—21no—
1147#123—21no—
1148C22⋊Q8—21no—
1149C22⋊Q8—21no—
1150C22⋊Q8—21no—
1151C22⋊Q8—21no—
1152C22⋊Q8—21no—
1153C22⋊Q8C23×C6111yescharacteristic
1154C22⋊Q8C23×C6111yescharacteristic
1155C22⋊Q8C23×C6111yescharacteristic
1156C22⋊Q8C23×C6111yescharacteristic
1157C22⋊Q8C23×C6111yescharacteristic
1158C22⋊Q8C23×C6111yescharacteristic
1159C22⋊Q8C23×C6111yescharacteristic
1160#121—21no—
1161#121—21no—
1162#121—21no—
1163#121—21no—
1164#121—21no—
1165#121—21no—
1166#121—21no—
1167#121—21no—
1168#121—21no—
1169#121—21no—
1170#121—21no—
1171#121—21no—
1172#121—21no—
1173#121—21no—
1174#121—21no—
1175#121—21no—
1176#121—21no—
1177#121—21no—
1178#121—21no—
1179#121—21no—
1180#121—21no—
1181#121—21no—
1182#121—21no—
1183#121—21no—
1184#121D4×C6111yescharacteristic
1185#121D4×C6111yescharacteristic
1186#121D4×C6111yescharacteristic
1187#121D4×C6111yescharacteristic
1188#121C23×C6111yescharacteristic
1189#121C23×C6111yescharacteristic
1190#121C23×C6111yescharacteristic
1191#121C23×C6111yescharacteristic
1192#121C23×C6111yescharacteristic
1193#121C23×C6111yescharacteristic
1194#121C23×C6111yescharacteristic
1195#121C23×C6111yescharacteristic
1196#121C23×C6111yescharacteristic
1197#121C23×C6111yescharacteristic
1198#121C23×C6111yescharacteristic
1199#121C23×C6111yescharacteristic
1200#121C23×C6111yescharacteristic
1201#120—21no—
1202#120—21no—
1203#120—21no—
1204#120—21no—
1205#120—21no—
1206#120—21no—
1207#120—21no—
1208#120—21no—
1209C4×Q8—21no—
1210C4×Q8—21no—
1211C4×Q8—21no—
1212C4×Q8C23×C6111yescharacteristic
1213C4×Q8C23×C6111yescharacteristic
1214C4×Q8C23×C6111yescharacteristic
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×D4—21no—
1226C4×D4—21no—
1227C4×D4—21no—
1228C4×D4—21no—
1229C4×D4—21no—
1230C4×D4—21no—
1231C4×D4—21no—
1232C4×D4C23×C6111yescharacteristic
1233C4×D4C23×C6111yescharacteristic
1234C4×D4C23×C6111yescharacteristic
1235C4×D4C23×C6111yescharacteristic
1236C4×D4C23×C6111yescharacteristic
1237C4×D4C23×C6111yescharacteristic
1238C4×D4C23×C6111yescharacteristic
1239C4×D4C23×C6111yescharacteristic
1240C4×D4C23×C6111yescharacteristic
1241#117—21no—
1242#117—21no—
1243#117—21no—
1244#117—21no—
1245#117—21no—
1246#117—21no—
1247#117C23×C6111yescharacteristic
1248#117C23×C6111yescharacteristic
1249#117C23×C6111yescharacteristic
1250#117C23×C6111yescharacteristic
1251#117C23×C6111yescharacteristic
1252#117C23×C6111yescharacteristic
1253#117C23×C6111yescharacteristic
1254C2×C4⋊C4—21no—
1255C2×C4⋊C4—21no—
1256C2×C4⋊C4C23×C6111yescharacteristic
1257C2×C4⋊C4C23×C6111yescharacteristic
1258C2×C4⋊C4C23×C6111yescharacteristic
1259C2×C4⋊C4C23×C6111yescharacteristic
1260C2×C4⋊C4C23×C6111yescharacteristic
1261C2×C4⋊C4C23×C6111yescharacteristic
1262C2×C4⋊C4C23×C6111yescharacteristic
1263C2×C4⋊C4C23×C6111yescharacteristic
1264C2×C22⋊C4—21no—
1265C2×C22⋊C4—21no—
1266C2×C42—21no—
1267C2×C42C23×C6111yescharacteristic
1268#107C23×C6111yescharacteristic
1269#107C23×C6111yescharacteristic
1270#107C23×C6111yescharacteristic
1271#107C23×C6111yescharacteristic
1272#107C23×C6111yescharacteristic
1273#107C23×C6111yescharacteristic
1274#107C23×C6111yescharacteristic
1275#107C23×C6111yescharacteristic
1276#107C23×C6111yescharacteristic
1277#107C23×C6111yescharacteristic
1278#107C23×C6111yescharacteristic
1279#107C23×C6111yescharacteristic
1280#106C23×C6111yescharacteristic
1281#106C23×C6111yescharacteristic
1282#106C23×C6111yescharacteristic
1283#106C23×C6111yescharacteristic
1284#106C23×C6111yescharacteristic
1285#106C23×C6111yescharacteristic
1286#106C23×C6111yescharacteristic
1287#106C23×C6111yescharacteristic
1288#106C23×C6111yescharacteristic
1289#106C23×C6111yescharacteristic
1290#106C23×C6111yescharacteristic
1291#106C23×C6111yescharacteristic
1292C4⋊C8C23×C6111yescharacteristic
1293C4⋊C8C23×C6111yescharacteristic
1294C4⋊C8C23×C6111yescharacteristic
1295C4⋊C8C23×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#103C23×C6111yescharacteristic
1305#103C23×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
1320#102C23×C6111yescharacteristic
1321#102C23×C6111yescharacteristic
1322#102C23×C6111yescharacteristic
1323#102C23×C6111yescharacteristic
1324#102C23×C6111yescharacteristic
1325#102C23×C6111yescharacteristic
1326#102C23×C6111yescharacteristic
1327#102C23×C6111yescharacteristic
1328C22⋊C8C23×C6111yescharacteristic
1329C22⋊C8C23×C6111yescharacteristic
1330C22⋊C8C23×C6111yescharacteristic
1331C22⋊C8C23×C6111yescharacteristic
1332C22⋊C8C23×C6111yescharacteristic
1333C22⋊C8C23×C6111yescharacteristic
1334C22⋊C8C23×C6111yescharacteristic
1335C22⋊C8C23×C6111yescharacteristic
1336C22⋊C8C23×C6111yescharacteristic
1337C22⋊C8C23×C6111yescharacteristic
1338C22⋊C8C23×C6111yescharacteristic
1339C22⋊C8C23×C6111yescharacteristic
1340#97C23×C6111yescharacteristic
1341#97C23×C6111yescharacteristic
1342C4×C8C23×C6111yescharacteristic
1343C4×C8C23×C6111yescharacteristic
1344C24—21no—
1345C24—21no—
1346#41—41no—
1347#41—41no—
1348#41—41no—
1349#41—41no—
1350#41—41no—
1351#41—41no—
1352#41—41no—
1353#41—41no—
1354#41—41no—
1355#41—41no—
1356#41—82no—
1357#41—82no—
1358C2×Q8—21no—
1359C2×Q8C2×D4×C6111yescharacteristic
1360C2×Q8C2×D4×C6111yescharacteristic
1361C2×Q8C24×C6111yescharacteristic
1362C2×Q8C24×C6111yescharacteristic
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—21no—
1374C2×D4—21no—
1375C2×D4—21no—
1376C2×D4—21no—
1377C2×D4—21no—
1378C2×D4—21no—
1379C2×D4—21no—
1380C2×D4—21no—
1381C2×D4—21no—
1382C2×D4—21no—
1383C2×D4—41no—
1384C2×D4—41no—
1385C2×D4—41no—
1386C2×D4—41no—
1387C2×D4—82no—
1388C2×D4C2×D4×C6111yescharacteristic
1389C2×D4C2×D4×C6111yescharacteristic
1390C2×D4C2×D4×C6111yescharacteristic
1391C2×D4C2×D4×C6111yescharacteristic
1392C2×D4C2×D4×C6111yescharacteristic
1393C2×D4C2×D4×C6111yescharacteristic
1394C2×D4C2×D4×C6111yescharacteristic
1395C2×D4C2×D4×C6111yescharacteristic
1396C2×D4C2×D4×C6111yescharacteristic
1397C2×D4C2×D4×C6111yescharacteristic
1398C2×D4C24×C6111yescharacteristic
1399C2×D4C24×C6111yescharacteristic
1400C2×D4C24×C6111yescharacteristic
1401C2×D4C24×C6111yescharacteristic
1402C22×C4—21no—
1403C22×C4—21no—
1404C22×C4—21no—
1405C22×C4—21no—
1406C22×C4—21no—
1407C22×C4—21no—
1408C22×C4—21no—
1409C22×C4—21no—
1410C22×C4—21no—
1411C22×C4—21no—
1412C22×C4—21no—
1413C22×C4—21no—
1414C22×C4—21no—
1415C22×C4—21no—
1416C22×C4—21no—
1417C22×C4—21no—
1418C22×C4C2×D4×C6111yescharacteristic
1419C22×C4C2×D4×C6111yescharacteristic
1420C22×C4C24×C6111yescharacteristic
1421C22×C4C24×C6111yescharacteristic
1422C22×C4C24×C6111yescharacteristic
1423C22×C4C24×C6111yescharacteristic
1424C22×C4C24×C6111yescharacteristic
1425Q16—41no—
1426SD16—41no—
1427SD16—41no—
1428SD16—41no—
1429SD16—41no—
1430D8—41no—
1431D8—41no—
1432D8—41no—
1433M16—41no—
1434M16—41no—
1435M16—41no—
1436M16—41no—
1437C2×C8—41no—
1438C2×C8—41no—
1439C2×C8—41no—
1440C2×C8—41no—
1441C2×C8C24×C6111yescharacteristic
1442C2×C8C24×C6111yescharacteristic
1443C2×C8C24×C6111yescharacteristic
1444C2×C8C24×C6111yescharacteristic
1445C2×C8C24×C6111yescharacteristic
1446C2×C8C24×C6111yescharacteristic
1447C2×C8C24×C6111yescharacteristic
1448C2×C8C24×C6111yescharacteristic
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⋊C4—21no—
1467C4⋊C4—21no—
1468C4⋊C4—21no—
1469C4⋊C4—21no—
1470C4⋊C4—21no—
1471C4⋊C4—21no—
1472C4⋊C4—21no—
1473C4⋊C4—21no—
1474C4⋊C4—21no—
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—21no—
1478C4⋊C4C2×D4×C6111yescharacteristic
1479C4⋊C4C2×D4×C6111yescharacteristic
1480C4⋊C4C2×D4×C6111yescharacteristic
1481C4⋊C4C2×D4×C6111yescharacteristic
1482C4⋊C4C24×C6111yescharacteristic
1483C4⋊C4C24×C6111yescharacteristic
1484C4⋊C4C24×C6111yescharacteristic
1485C4⋊C4C24×C6111yescharacteristic
1486C4⋊C4C24×C6111yescharacteristic
1487C4⋊C4C24×C6111yescharacteristic
1488C4⋊C4C24×C6111yescharacteristic
1489C4⋊C4C24×C6111yescharacteristic
1490C4⋊C4C24×C6111yescharacteristic
1491C4⋊C4C24×C6111yescharacteristic
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⋊C4—21no—
1518C22⋊C4—21no—
1519C22⋊C4—21no—
1520C22⋊C4—21no—
1521C22⋊C4—21no—
1522C22⋊C4—21no—
1523C22⋊C4—21no—
1524C22⋊C4—21no—
1525C22⋊C4—21no—
1526C22⋊C4C2×D4×C6111yescharacteristic
1527C22⋊C4C2×D4×C6111yescharacteristic
1528C22⋊C4C2×D4×C6111yescharacteristic
1529C22⋊C4C2×D4×C6111yescharacteristic
1530C22⋊C4C2×D4×C6111yescharacteristic
1531C22⋊C4C2×D4×C6111yescharacteristic
1532C22⋊C4C2×D4×C6111yescharacteristic
1533C22⋊C4C2×D4×C6111yescharacteristic
1534C42—21no—
1535C42—21no—
1536C42—21no—
1537C42—21no—
1538C42—21no—
1539C42—21no—
1540C42—21no—
1541C42—21no—
1542C42—21no—
1543C42—21no—
1544C42C2×D4×C6111yescharacteristic
1545C42C2×D4×C6111yescharacteristic
1546C42C24×C6111yescharacteristic
1547C42C24×C6111yescharacteristic
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—81no—
1553C23—81no—
1554C23—81no—
1555C23—81no—
1556C23—81no—
1557C23—81no—
1558C23C22×D4×C6111yescharacteristic
1559C23C22×D4×C6111yescharacteristic
1560C23C22×D4×C6111yescharacteristic
1561C23C22×D4×C6111yescharacteristic
1562C23C22×D4×C6111yescharacteristic
1563Q8—21no—
1564Q8—21no—
1565Q8—21no—
1566Q8—21no—
1567Q8—41no—
1568Q8—41no—
1569Q8—42no—
1570D4—21no—
1571D4—21no—
1572D4—21no—
1573D4—21no—
1574D4—21no—
1575D4—21no—
1576D4—21no—
1577D4—21no—
1578D4—41no—
1579D4—41no—
1580D4—41no—
1581D4—41no—
1582D4—41no—
1583D4—41no—
1584D4—41no—
1585D4—41no—
1586D4—41no—
1587D4—41no—
1588D4—42no—
1589D4—42no—
1590D4—81no—
1591D4—81no—
1592D4—81no—
1593D4—81no—
1594D4—81no—
1595D4—81no—
1596D4—81no—
1597D4—81no—
1598D4—81no—
1599D4—81no—
1600D4—81no—
1601D4—81no—
1602D4—81no—
1603D4—81no—
1604D4—81no—
1605D4—81no—
1606D4—81no—
1607D4—81no—
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—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—41no—
1631C2×C4—41no—
1632C2×C4—42no—
1633C2×C4—42no—
1634C2×C4—81no—
1635C2×C4—81no—
1636C2×C4—81no—
1637C2×C4—81no—
1638C2×C4—81no—
1639C2×C4—81no—
1640C2×C4—81no—
1641C2×C4—81no—
1642C2×C4—81no—
1643C2×C4—81no—
1644C2×C4—81no—
1645C2×C4—81no—
1646C2×C4—81no—
1647C2×C4—81no—
1648C2×C4C22×D4×C6111yescharacteristic
1649C2×C4C22×D4×C6111yescharacteristic
1650C2×C4C22×D4×C6111yescharacteristic
1651C2×C4C22×D4×C6111yescharacteristic
1652C2×C4C22×D4×C6111yescharacteristic
1653C2×C4C22×D4×C6111yescharacteristic
1654C2×C4C22×D4×C6111yescharacteristic
1655C2×C4C22×D4×C6111yescharacteristic
1656C2×C4C22×D4×C6111yescharacteristic
1657C2×C4C25×C6111yescharacteristic
1658C8—21no—
1659C8—21no—
1660C8—21no—
1661C8—21no—
1662C8—21no—
1663C8—21no—
1664C8—21no—
1665C8—21no—
1666C22—21no—
1667C22—21no—
1668C22—21no—
1669C22—21no—
1670C22—21no—
1671C22—21no—
1672C22—21no—
1673C22—21no—
1674C22—21no—
1675C22—21no—
1676C22—21no—
1677C22—21no—
1678C22—21no—
1679C22—21no—
1680C22—21no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—162no—
1694C22—162no—
1695C22C23×D4×C6111yescharacteristic
1696C4—21no—
1697C4—21no—
1698C4—21no—
1699C4—21no—
1700C4—21no—
1701C4—21no—
1702C4—21no—
1703C4—21no—
1704C4—21no—
1705C4—41no—
1706C4—41no—
1707C4—41no—
1708C4—41no—
1709C4—41no—
1710C4—41no—
1711C4—41no—
1712C4—41no—
1713C4—41no—
1714C4—41no—
1715C4—41no—
1716C4—41no—
1717C4C61×#58511yescharacteristic
1718C4C61×#58511yescharacteristic
1719C2—41no—
1720C2—41no—
1721C2—41no—
1722C2—41no—
1723C2—41no—
1724C2—81no—
1725C2—81no—
1726C2—81no—
1727C2—81no—
1728C2C61×#348511yescharacteristic
1729C2C61×#358411yescharacteristic
1730C2C61×#358511yescharacteristic
subgroupG/H
center, socleC22×C61C23×D4
commutator, Frattini, cosocleC2×C4C25×C61
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C61 ◁ C61×#532 ◁ G

Complements

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

NH ≅ G/Ntype
1. C61×#3546C2semidirect
2. C61×#3512C2semidirect
3. C61×#3355C2semidirect
4. C61×#3351C2semidirect
5. C61×#3350C2semidirect
6. C61×#3349C2semidirect
7. C61×#3345C2semidirect
8. C61×#3343C2semidirect
9. C61×#3339C2semidirect
10. C61×#3337C2semidirect
11. C61×#3323C2semidirect
12. C61×#3322C2semidirect
13. C61×#3318C2semidirect
14. C61×#3317C2semidirect
15. C61×#3310C2semidirect
16. C61×#3309C2semidirect
17. C61×#3297C2semidirect
18. C61×#3296C2semidirect
19. C61×#3234C2semidirect
20. C61×#3232C2semidirect
21. C61×#3204C2semidirect
22. C61×#3203C2semidirect
23. C61×#3198C2semidirect
24. C61×#3198C2semidirect
25. C61×#3111C2semidirect
26. C61×#3106C2semidirect
27. C61×#3099C2semidirect
28. C61×#3098C2semidirect
29. C61×#3096C2semidirect
30. C61×#3096C2semidirect
31. C61×#2981C2semidirect
42. C61×#553C22semidirect
43. C61×#553C22semidirect
44. C61×#553C22semidirect
46. C61×#552C22semidirect
47. C61×#552C22semidirect
48. C61×#552C22semidirect
63. C61×#537C22semidirect
64. C61×#537C22semidirect
73. C2×#125×C61C22semidirect
74. C61×#520C22semidirect
75. C61×#520C22semidirect
76. C4×#41×C61C22semidirect
77. C61×#501C22semidirect
78. C61×#501C22semidirect
79. C61×#499C22semidirect
80. C61×#499C22semidirect
85. C61×#485C22semidirect
86. C61×#485C22semidirect
87. C61×#485C22semidirect
88. C61×#485C22semidirect
89. C61×#485C22semidirect
90. C61×#484C22semidirect
91. C61×#484C22semidirect
92. C61×#484C22semidirect
93. C61×#483C22semidirect
94. C61×#483C22semidirect
95. C61×#483C22semidirect
101. C61×#482C22semidirect
102. C61×#482C22semidirect
103. C61×#482C22semidirect
104. C61×#482C22semidirect
105. C61×#482C22semidirect
106. C61×#482C22semidirect
110. C61×#481C22semidirect
111. C61×#481C22semidirect
112. C61×#481C22semidirect
113. C61×#481C22semidirect
117. C61×#480C22semidirect
118. C61×#480C22semidirect
119. C61×#480C22semidirect
120. C61×#480C22semidirect
121. C61×#479C22semidirect
122. C61×#479C22semidirect
123. C61×#479C22semidirect
126. C61×#478C22semidirect
127. C61×#478C22semidirect
128. C61×#478C22semidirect
129. C61×#478C22semidirect
130. C61×#478C22semidirect
131. C61×#477C22semidirect
132. C61×#476C22semidirect
133. C61×#470C22semidirect
136. C61×#469C22semidirect
139. C61×#468C22semidirect
140. C61×#468C22semidirect
141. C61×#467C22semidirect
144. C61×#466C22semidirect
147. C61×#465C22semidirect
148. C61×#465C22semidirect
153. C61×#452C22semidirect
154. C61×#452C22semidirect
155. C61×#452C22semidirect
159. C61×#449C22semidirect
160. C61×#449C22semidirect
161. C61×#449C22semidirect
162. C61×#449C22semidirect
166. C61×#441C22semidirect
168. C61×#440C22semidirect
169. C4×SD16×C61C22semidirect
170. C4×SD16×C61C22semidirect
171. C4×D8×C61C22semidirect
172. C4×D8×C61C22semidirect
173. C61×#436C22semidirect
174. C61×#436C22semidirect
177. C61×#435C22semidirect
178. C61×#435C22semidirect
179. C8×D4×C61C22semidirect
180. C8×D4×C61C22semidirect
181. C61×#432C22semidirect
182. C61×#431C22semidirect
183. C61×#428C22semidirect
184. C61×#428C22semidirect
185. C61×#428C22semidirect
186. C61×#428C22semidirect
187. C61×#427C22semidirect
188. C61×#427C22semidirect
189. C2×#107×C61C22semidirect
190. C2×#106×C61C22semidirect
193. C61×#417C22semidirect
194. C61×#417C22semidirect
195. C61×#416C22semidirect
196. C61×#416C22semidirect
199. C61×#408C22semidirect
200. C61×#408C22semidirect
201. C61×#408C22semidirect
202. C61×#408C22semidirect
800. #61813C61direct (N × H)
854. #3546C2×C61semidirect
855. #3512C2×C61semidirect
856. #3355C2×C61semidirect
857. #3351C2×C61semidirect
858. #3350C2×C61semidirect
859. #3349C2×C61semidirect
860. #3345C2×C61semidirect
861. #3343C2×C61semidirect
862. #3339C2×C61semidirect
863. #3337C2×C61semidirect
864. #3323C2×C61semidirect
865. #3322C2×C61semidirect
866. #3318C2×C61semidirect
867. #3317C2×C61semidirect
868. #3310C2×C61semidirect
869. #3309C2×C61semidirect
870. #3297C2×C61semidirect
871. #3296C2×C61semidirect
872. #3234C2×C61semidirect
873. #3232C2×C61semidirect
874. #3204C2×C61semidirect
875. #3203C2×C61semidirect
876. #3198C2×C61semidirect
877. #3198C2×C61semidirect
878. #3111C2×C61semidirect
879. #3106C2×C61semidirect
880. #3099C2×C61semidirect
881. #3098C2×C61semidirect
882. #3096C2×C61semidirect
883. #3096C2×C61semidirect
884. #2981C2×C61semidirect
907. #553C22×C61semidirect
908. #553C22×C61semidirect
909. #553C22×C61semidirect
911. #552C22×C61semidirect
912. #552C22×C61semidirect
913. #552C22×C61semidirect
928. #537C22×C61semidirect
929. #537C22×C61semidirect
938. C2×#125C22×C61semidirect
939. #520C22×C61semidirect
940. #520C22×C61semidirect
941. C4×#41C22×C61semidirect
942. #501C22×C61semidirect
943. #501C22×C61semidirect
944. #499C22×C61semidirect
945. #499C22×C61semidirect
950. #485C22×C61semidirect
951. #485C22×C61semidirect
952. #485C22×C61semidirect
953. #485C22×C61semidirect
954. #485C22×C61semidirect
955. #484C22×C61semidirect
956. #484C22×C61semidirect
957. #484C22×C61semidirect
958. #483C22×C61semidirect
959. #483C22×C61semidirect
960. #483C22×C61semidirect
966. #482C22×C61semidirect
967. #482C22×C61semidirect
968. #482C22×C61semidirect
969. #482C22×C61semidirect
970. #482C22×C61semidirect
971. #482C22×C61semidirect
975. #481C22×C61semidirect
976. #481C22×C61semidirect
977. #481C22×C61semidirect
978. #481C22×C61semidirect
982. #480C22×C61semidirect
983. #480C22×C61semidirect
984. #480C22×C61semidirect
985. #480C22×C61semidirect
986. #479C22×C61semidirect
987. #479C22×C61semidirect
988. #479C22×C61semidirect
991. #478C22×C61semidirect
992. #478C22×C61semidirect
993. #478C22×C61semidirect
994. #478C22×C61semidirect
995. #478C22×C61semidirect
996. #477C22×C61semidirect
997. #476C22×C61semidirect
998. #470C22×C61semidirect
1001. #469C22×C61semidirect
1004. #468C22×C61semidirect
1005. #468C22×C61semidirect
1006. #467C22×C61semidirect
1009. #466C22×C61semidirect
1012. #465C22×C61semidirect
1013. #465C22×C61semidirect
1018. #452C22×C61semidirect
1019. #452C22×C61semidirect
1020. #452C22×C61semidirect
1024. #449C22×C61semidirect
1025. #449C22×C61semidirect
1026. #449C22×C61semidirect
1027. #449C22×C61semidirect
1031. #441C22×C61semidirect
1033. #440C22×C61semidirect
1034. C4×SD16C22×C61semidirect
1035. C4×SD16C22×C61semidirect
1036. C4×D8C22×C61semidirect
1037. C4×D8C22×C61semidirect
1038. #436C22×C61semidirect
1039. #436C22×C61semidirect
1042. #435C22×C61semidirect
1043. #435C22×C61semidirect
1044. C8×D4C22×C61semidirect
1045. C8×D4C22×C61semidirect
1046. #432C22×C61semidirect
1047. #431C22×C61semidirect
1048. #428C22×C61semidirect
1049. #428C22×C61semidirect
1050. #428C22×C61semidirect
1051. #428C22×C61semidirect
1052. #427C22×C61semidirect
1053. #427C22×C61semidirect
1054. C2×#107C22×C61semidirect
1055. C2×#106C22×C61semidirect
1058. #417C22×C61semidirect
1059. #417C22×C61semidirect
1060. #416C22×C61semidirect
1061. #416C22×C61semidirect
1064. #408C22×C61semidirect
1065. #408C22×C61semidirect
1066. #408C22×C61semidirect
1067. #408C22×C61semidirect
1068. C61#61813direct (N × H)

Maximal subgroups

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

subgroupindex
C61×#35462
C61×#35122
C61×#33552
C61×#33512
C61×#33502
C61×#33492
C61×#33452
C61×#33432
C61×#33392
C61×#33372
C61×#33232
C61×#33222
C61×#33182
C61×#33172
C61×#33102
C61×#33092
C61×#32972
C61×#32962
C61×#32342
C61×#32322
C61×#32042
C61×#32032
C61×#31982
C61×#31112
C61×#31062
C61×#30992
C61×#30982
C61×#30962
C61×#29812
#6181361