Finite Group Databasebeta

← C61×#61745 #29565178

Subgroups — C61×#61745 #29565178

Order 15616.

1734 conjugacy classes of subgroups.

The subgroup lattice has 1698 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C61×#3541C211yesmaximal, characteristic, complemented
2C61×#3492C211yesmaximal, characteristic, complemented
3C61×#3356C211yesmaximal, characteristic, complemented
4C61×#3351C211yesmaximal, characteristic, complemented
5C61×#3350C211yesmaximal, characteristic, complemented
6C61×#3345C211yesmaximal, characteristic, complemented
7C61×#3344C211yesmaximal, characteristic, complemented
8C61×#3344C211yesmaximal, characteristic, complemented
9C61×#3337C211yesmaximal, characteristic, complemented
10C61×#3335C211yesmaximal, characteristic, complemented
11C61×#3331C211yesmaximal, characteristic, complemented
12C61×#3326C211yesmaximal, characteristic, complemented
13C61×#3316C211yesmaximal, characteristic, complemented
14C61×#3312C211yesmaximal, characteristic, complemented
15C61×#3308C211yesmaximal, characteristic, complemented
16C61×#3307C211yesmaximal, characteristic, complemented
17C61×#3300C211yesmaximal, characteristic, complemented
18C61×#3298C211yesmaximal, characteristic, complemented
19C61×#3244C211yesmaximal, characteristic, complemented
20C61×#3242C211yesmaximal, characteristic, complemented
21C61×#3204C211yesmaximal, characteristic, complemented
22C61×#3201C211yesmaximal, characteristic, complemented
23C61×#3196C211yesmaximal, characteristic, complemented
24C61×#3191C211yesmaximal, characteristic, complemented
25C61×#3125C211yesmaximal, characteristic, complemented
26C61×#3120C211yesmaximal, characteristic, complemented
27C61×#3099C211yesmaximal, characteristic, complemented
28C61×#3097C211yesmaximal, characteristic, complemented
29C61×#3092C211yesmaximal, characteristic, complemented
30C2×C61×#483C211yesmaximal, characteristic, complemented
31C61×#2976C211yesmaximal, characteristic, complemented
32C61×#563—21no—
33C61×#562—21no—
34C61×#556C2211yescharacteristic
35C61×#554—21no—
36C61×#554—21no—
37C61×#554C2211yescharacteristic
38C61×#554C2211yescharacteristic
39C61×#554C2211yescharacteristic
40C61×#553—21no—
41C61×#553—21no—
42C61×#553C2211yescharacteristic
43C61×#553C2211yescharacteristic
44C61×#553C2211yescharacteristic
45C61×#552—21no—
46C61×#552C2211yescharacteristic
47C61×#552C2211yescharacteristic
48C61×#552C2211yescharacteristic
49D4×Q8×C61C2211yescharacteristic
50C61×#548C2211yescharacteristic
51C61×#548C2211yescharacteristic
52C61×#547—21no—
53C61×#547C2211yescharacteristic
54C61×#547C2211yescharacteristic
55C61×#547C2211yescharacteristic
56C61×#544C2211yescharacteristic
57C61×#542—21no—
58C61×#542C2211yescharacteristic
59C61×#541C2211yescharacteristic
60C61×#539—21no—
61C61×#539—21no—
62C61×#539—21no—
63C61×#538—21no—
64C61×#538—21no—
65C61×#537C2211yescharacteristic
66C61×#537C2211yescharacteristic
67C61×#536C2211yescharacteristic
68C61×#525—21no—
69C61×#525—21no—
70C61×#525C2211yescharacteristic
71C61×#525C2211yescharacteristic
72C61×#525C2211yescharacteristic
73C2×C22⋊Q8×C61C2211yescharacteristic
74C61×#520C2211yescharacteristic
75C61×#520C2211yescharacteristic
76C22×C4⋊C4×C61C2211yescharacteristic
77C61×#501C2211yescharacteristic, complemented
78C61×#501C2211yescharacteristic, complemented
79C61×#499C2211yescharacteristic, complemented
80C61×#498C2211yescharacteristic, complemented
81C61×#491C2211yescharacteristic, complemented
82C61×#489C2211yescharacteristic, complemented
83C61×#488C2211yescharacteristic, complemented
84C61×#487C2211yescharacteristic, complemented
85C61×#485C2211yescharacteristic
86C61×#485C2211yescharacteristic
87C61×#485C2211yescharacteristic
88C61×#485C2211yescharacteristic
89C61×#485C2211yescharacteristic, complemented
90C61×#485C2211yescharacteristic, complemented
91C61×#485C2211yescharacteristic, complemented
92C61×#485C2211yescharacteristic, complemented
93C61×#484C2211yescharacteristic
94C61×#484C2211yescharacteristic
95C61×#484C2211yescharacteristic
96C61×#484C2211yescharacteristic, complemented
97C61×#483C2211yescharacteristic
98C61×#483C2211yescharacteristic
99C61×#483C2211yescharacteristic
100C61×#483C2211yescharacteristic
101C61×#483C2211yescharacteristic
102C61×#483C2211yescharacteristic
103C61×#483C2211yescharacteristic
104C61×#483C2211yescharacteristic
105C61×#483C2211yescharacteristic
106C61×#483C2211yescharacteristic
107C61×#483C2211yescharacteristic, complemented
108C61×#483C2211yescharacteristic, complemented
109C61×#483C2211yescharacteristic, complemented
110C61×#482C2211yescharacteristic
111C61×#482C2211yescharacteristic
112C61×#482C2211yescharacteristic, complemented
113C61×#482C2211yescharacteristic, complemented
114C61×#481C2211yescharacteristic
115C61×#481C2211yescharacteristic
116C61×#481C2211yescharacteristic
117C61×#481C2211yescharacteristic, complemented
118C61×#481C2211yescharacteristic, complemented
119C61×#480C2211yescharacteristic
120C61×#480C2211yescharacteristic
121C61×#479C2211yescharacteristic, complemented
122C61×#479C2211yescharacteristic, complemented
123C61×#479C2211yescharacteristic, complemented
124C61×#479C2211yescharacteristic, complemented
125C61×#478C2211yescharacteristic, complemented
126C61×#478C2211yescharacteristic, complemented
127C61×#477C2211yescharacteristic, complemented
128C61×#476C2211yescharacteristic, complemented
129C61×#476C2211yescharacteristic, complemented
130C61×#475C2211yescharacteristic, complemented
131C61×#475C2211yescharacteristic, complemented
132C61×#475C2211yescharacteristic, complemented
133C61×#470C2211yescharacteristic
134C61×#470C2211yescharacteristic
135C61×#470C2211yescharacteristic, complemented
136C61×#470C2211yescharacteristic, complemented
137C61×#469C2211yescharacteristic, complemented
138C61×#468C2211yescharacteristic
139C61×#468C2211yescharacteristic
140C61×#468C2211yescharacteristic, complemented
141C61×#467C2211yescharacteristic
142C61×#467C2211yescharacteristic, complemented
143C61×#466C2211yescharacteristic
144C61×#465C2211yescharacteristic
145C61×#465C2211yescharacteristic
146C61×#465C2211yescharacteristic, complemented
147C61×#465C2211yescharacteristic, complemented
148C61×#465C2211yescharacteristic, complemented
149C61×#464C2211yescharacteristic, complemented
150C61×#463C2211yescharacteristic, complemented
151C61×#462C2211yescharacteristic, complemented
152C61×#461C2211yescharacteristic, complemented
153C61×#452C2211yescharacteristic
154C61×#452C2211yescharacteristic
155C61×#452C2211yescharacteristic
156C61×#452C2211yescharacteristic
157C61×#452C2211yescharacteristic, complemented
158C61×#451C2211yescharacteristic
159C61×#451C2211yescharacteristic, complemented
160C61×#449C2211yescharacteristic
161C61×#449C2211yescharacteristic
162C61×#449C2211yescharacteristic, complemented
163C61×#448C2211yescharacteristic
164C61×#448C2211yescharacteristic, complemented
165C61×#442C2211yescharacteristic, complemented
166C61×#441C2211yescharacteristic, complemented
167C61×#441C2211yescharacteristic, complemented
168C61×#440C2211yescharacteristic, complemented
169C4×Q16×C61C2211yescharacteristic, complemented
170C4×SD16×C61C2211yescharacteristic, complemented
171C4×SD16×C61C2211yescharacteristic, complemented
172C4×SD16×C61C2211yescharacteristic, complemented
173C61×#436C2211yescharacteristic
174C61×#436C2211yescharacteristic
175C61×#435C2211yescharacteristic
176C61×#435C2211yescharacteristic
177C61×#435C2211yescharacteristic
178C61×#435C2211yescharacteristic
179C8×D4×C61C2211yescharacteristic
180C8×D4×C61C2211yescharacteristic
181C61×#433C2211yescharacteristic
182C61×#433C2211yescharacteristic
183C61×#428C2211yescharacteristic
184C61×#428C2211yescharacteristic
185C61×#428C2211yescharacteristic, complemented
186C61×#428C2211yescharacteristic, complemented
187C61×#427C2211yescharacteristic, complemented
188C2×#106×C61C2211yescharacteristic
189C2×#106×C61C2211yescharacteristic
190C2×#106×C61C2211yescharacteristic, complemented
191C61×#419C2211yescharacteristic, complemented
192C61×#417C2211yescharacteristic
193C61×#417C2211yescharacteristic
194C61×#417C2211yescharacteristic, complemented
195C61×#416C2211yescharacteristic, complemented
196C2×#103×C61C2211yescharacteristic
197C2×#103×C61C2211yescharacteristic
198C2×#103×C61C2211yescharacteristic, complemented
199C61×#408C2211yescharacteristic
200C61×#408C2211yescharacteristic
201C61×#407C2211yescharacteristic
202C2×C22⋊C8×C61C2211yescharacteristic
203C2×#41×C61—21no—
204C2×#41×C61—21no—
205C2×#41×C61C2311yescharacteristic
206C2×#41×C61C2311yescharacteristic
207C2×#41×C61C2311yescharacteristic
208C2×#41×C61C2311yescharacteristic
209C22×Q8×C61C2311yescharacteristic
210C22×Q8×C61C2311yescharacteristic
211C23×C4×C61—21no—
212C23×C4×C61C2311yescharacteristic
213C2×Q16×C61C2311yescharacteristic
214C2×Q16×C61C2311yescharacteristic
215C2×Q16×C61C2311yescharacteristic
216C2×SD16×C61C2311yescharacteristic
217C2×SD16×C61C2311yescharacteristic
218C2×SD16×C61C2311yescharacteristic
219C2×SD16×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×C61—21no—
230C4⋊Q8×C61—21no—
231C4⋊Q8×C61—21no—
232C4⋊Q8×C61C2311yescharacteristic
233C4⋊Q8×C61C2311yescharacteristic
234C4⋊Q8×C61C2311yescharacteristic
235C4⋊Q8×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#125×C61—21no—
248#125×C61—21no—
249#125×C61—21no—
250#125×C61—21no—
251#125×C61—21no—
252#125×C61—21no—
253#125×C61—21no—
254#125×C61—21no—
255#125×C61—21no—
256#125×C61C2311yescharacteristic
257#125×C61C2311yescharacteristic
258#125×C61C2311yescharacteristic
259#124×C61—21no—
260#124×C61—21no—
261#124×C61—21no—
262#124×C61—21no—
263#124×C61—21no—
264#124×C61C2311yescharacteristic
265#123×C61—21no—
266#123×C61—21no—
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×C61D411yescharacteristic
283#123×C61D411yescharacteristic
284C22⋊Q8×C61—21no—
285C22⋊Q8×C61—21no—
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×C61—21no—
300C22⋊Q8×C61—21no—
301C22⋊Q8×C61—21no—
302C22⋊Q8×C61—21no—
303C22⋊Q8×C61D411yescharacteristic
304C22⋊Q8×C61D411yescharacteristic
305C22⋊Q8×C61C2311yescharacteristic
306C22⋊Q8×C61C2311yescharacteristic
307C22⋊Q8×C61C2311yescharacteristic
308C22⋊Q8×C61C2311yescharacteristic
309C22⋊Q8×C61C2311yescharacteristic
310C22⋊Q8×C61C2311yescharacteristic
311C22⋊Q8×C61C2311yescharacteristic
312C22⋊Q8×C61C2311yescharacteristic
313C22⋊Q8×C61C2311yescharacteristic
314C22⋊Q8×C61C2311yescharacteristic
315C22⋊Q8×C61C2311yescharacteristic
316C22⋊Q8×C61C2311yescharacteristic
317C22⋊Q8×C61C2311yescharacteristic
318#121×C61—21no—
319#121×C61—21no—
320#121×C61—21no—
321#121×C61—21no—
322#121×C61—21no—
323#121×C61—21no—
324#121×C61—21no—
325#121×C61—21no—
326#121×C61—21no—
327#121×C61—21no—
328#121×C61—21no—
329#121×C61—21no—
330#121×C61D411yescharacteristic
331#121×C61D411yescharacteristic
332#121×C61C2311yescharacteristic
333#121×C61C2311yescharacteristic
334#121×C61C2311yescharacteristic
335#121×C61C2311yescharacteristic
336#121×C61C2311yescharacteristic
337#121×C61C2311yescharacteristic
338#121×C61C2311yescharacteristic
339#120×C61—21no—
340#120×C61—21no—
341#120×C61D411yescharacteristic
342#120×C61D411yescharacteristic
343C4×Q8×C61—21no—
344C4×Q8×C61—21no—
345C4×Q8×C61C2311yescharacteristic
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×C61—21no—
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×C61C2311yescharacteristic
380#117×C61C2311yescharacteristic
381#117×C61C2311yescharacteristic
382#117×C61C2311yescharacteristic
383#117×C61C2311yescharacteristic
384#117×C61C2311yescharacteristic
385C2×C4⋊C4×C61—21no—
386C2×C4⋊C4×C61—21no—
387C2×C4⋊C4×C61—21no—
388C2×C4⋊C4×C61—21no—
389C2×C4⋊C4×C61—21no—
390C2×C4⋊C4×C61—21no—
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×C4⋊C4×C61C2311yescharacteristic
399C2×C4⋊C4×C61C2311yescharacteristic
400C2×C4⋊C4×C61C2311yescharacteristic
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#106×C61C2311yescharacteristic
411#106×C61C2311yescharacteristic
412#106×C61C2311yescharacteristic
413#106×C61C2311yescharacteristic
414#106×C61C2311yescharacteristic
415#106×C61C2311yescharacteristic
416#106×C61C2311yescharacteristic
417#106×C61C2311yescharacteristic
418#106×C61C2311yescharacteristic
419#106×C61C2311yescharacteristic
420#106×C61C2311yescharacteristic
421#106×C61C2311yescharacteristic
422#106×C61C2311yescharacteristic
423#106×C61C2311yescharacteristic
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#103×C61C2311yescharacteristic
447#103×C61C2311yescharacteristic
448#103×C61C2311yescharacteristic
449#103×C61C2311yescharacteristic
450#103×C61C2311yescharacteristic
451#103×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×C61C2×D411yescharacteristic
479#41×C61—41no—
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—82no—
488#41×C61—82no—
489C2×Q8×C61—21no—
490C2×Q8×C61—21no—
491C2×Q8×C61—21no—
492C2×Q8×C61—21no—
493C2×Q8×C61—21no—
494C2×Q8×C61—41no—
495C2×Q8×C61—41no—
496C2×Q8×C61—41no—
497C2×Q8×C61—41no—
498C2×Q8×C61C2×D411yescharacteristic
499C2×Q8×C61C2411yescharacteristic
500C2×Q8×C61C2411yescharacteristic
501C2×Q8×C61C2411yescharacteristic
502C2×Q8×C61C2411yescharacteristic
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×C61C2×D411yescharacteristic
514C2×D4×C61C2×D411yescharacteristic
515C2×D4×C61C2×D411yescharacteristic
516C2×D4×C61C2×D411yescharacteristic
517C2×D4×C61C2×D411yescharacteristic
518C2×D4×C61C2×D411yescharacteristic
519C2×D4×C61C2×D411yescharacteristic
520C2×D4×C61C2411yescharacteristic
521C2×D4×C61C2411yescharacteristic
522C22×C4×C61—21no—
523C22×C4×C61—21no—
524C22×C4×C61—21no—
525C22×C4×C61—21no—
526C22×C4×C61—21no—
527C22×C4×C61—21no—
528C22×C4×C61—21no—
529C22×C4×C61—21no—
530C22×C4×C61—21no—
531C22×C4×C61—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—41no—
541C22×C4×C61—41no—
542C22×C4×C61—82no—
543C22×C4×C61C2×D411yescharacteristic
544C22×C4×C61C2×D411yescharacteristic
545C22×C4×C61C2×D411yescharacteristic
546C22×C4×C61C2411yescharacteristic
547C22×C4×C61C2411yescharacteristic
548C22×C4×C61C2411yescharacteristic
549C22×C4×C61C2411yescharacteristic
550C22×C4×C61C2411yescharacteristic
551Q16×C61—41no—
552Q16×C61—41no—
553Q16×C61—41no—
554SD16×C61—41no—
555SD16×C61—41no—
556SD16×C61—41no—
557SD16×C61—41no—
558D8×C61—41no—
559M16×C61—41no—
560M16×C61—41no—
561M16×C61—41no—
562M16×C61—41no—
563C2×C8×C61—41no—
564C2×C8×C61—41no—
565C2×C8×C61—41no—
566C2×C8×C61—41no—
567C2×C8×C61C2411yescharacteristic
568C2×C8×C61C2411yescharacteristic
569C2×C8×C61C2411yescharacteristic
570C2×C8×C61C2411yescharacteristic
571C2×C8×C61C2411yescharacteristic
572C2×C8×C61C2411yescharacteristic
573C2×C8×C61C2411yescharacteristic
574C2×C8×C61C2411yescharacteristic
575C4⋊C4×C61—21no—
576C4⋊C4×C61—21no—
577C4⋊C4×C61—21no—
578C4⋊C4×C61—21no—
579C4⋊C4×C61—21no—
580C4⋊C4×C61—21no—
581C4⋊C4×C61—21no—
582C4⋊C4×C61—21no—
583C4⋊C4×C61—21no—
584C4⋊C4×C61—21no—
585C4⋊C4×C61—21no—
586C4⋊C4×C61—21no—
587C4⋊C4×C61—21no—
588C4⋊C4×C61—21no—
589C4⋊C4×C61—21no—
590C4⋊C4×C61—21no—
591C4⋊C4×C61—21no—
592C4⋊C4×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×C61—21no—
613C4⋊C4×C61—21no—
614C4⋊C4×C61C2×D411yescharacteristic
615C4⋊C4×C61C2×D411yescharacteristic
616C4⋊C4×C61C2×D411yescharacteristic
617C4⋊C4×C61C2×D411yescharacteristic
618C4⋊C4×C61C2×D411yescharacteristic
619C4⋊C4×C61C2×D411yescharacteristic
620C4⋊C4×C61C2411yescharacteristic
621C4⋊C4×C61C2411yescharacteristic
622C4⋊C4×C61C2411yescharacteristic
623C4⋊C4×C61C2411yescharacteristic
624C4⋊C4×C61C2411yescharacteristic
625C4⋊C4×C61C2411yescharacteristic
626C4⋊C4×C61C2411yescharacteristic
627C4⋊C4×C61C2411yescharacteristic
628C4⋊C4×C61C2411yescharacteristic
629C4⋊C4×C61C2411yescharacteristic
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
668C22⋊C4×C61C2×D411yescharacteristic
669C22⋊C4×C61C2×D411yescharacteristic
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—22no—
683C23×C61—21no—
684C23×C61—21no—
685C23×C61—41no—
686C23×C61—41no—
687C23×C61C22×D411yescharacteristic
688C23×C61C22×D411yescharacteristic
689C23×C61C22×D411yescharacteristic
690C23×C61C22×D411yescharacteristic
691C23×C61C22×D411yescharacteristic
692Q8×C61—21no—
693Q8×C61—21no—
694Q8×C61—21no—
695Q8×C61—21no—
696Q8×C61—21no—
697Q8×C61—21no—
698Q8×C61—21no—
699Q8×C61—21no—
700Q8×C61—41no—
701Q8×C61—81no—
702Q8×C61—81no—
703Q8×C61—81no—
704Q8×C61—81no—
705Q8×C61—81no—
706D4×C61—22no—
707D4×C61—22no—
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—42no—
718D4×C61—42no—
719D4×C61—42no—
720D4×C61—42no—
721D4×C61—81no—
722D4×C61—81no—
723D4×C61—81no—
724D4×C61—81no—
725D4×C61—81no—
726D4×C61—81no—
727C2×C4×C61—21no—
728C2×C4×C61—21no—
729C2×C4×C61—21no—
730C2×C4×C61—21no—
731C2×C4×C61—21no—
732C2×C4×C61—21no—
733C2×C4×C61—21no—
734C2×C4×C61—21no—
735C2×C4×C61—21no—
736C2×C4×C61—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—41no—
752C2×C4×C61—41no—
753C2×C4×C61—41no—
754C2×C4×C61—42no—
755C2×C4×C61—42no—
756C2×C4×C61—42no—
757C2×C4×C61—81no—
758C2×C4×C61—81no—
759C2×C4×C61—81no—
760C2×C4×C61—81no—
761C2×C4×C61—81no—
762C2×C4×C61—81no—
763C2×C4×C61—81no—
764C2×C4×C61—81no—
765C2×C4×C61—81no—
766C2×C4×C61—81no—
767C2×C4×C61—81no—
768C2×C4×C61—81no—
769C2×C4×C61—81no—
770C2×C4×C61—81no—
771C2×C4×C61—81no—
772C2×C4×C61C22×D411yescharacteristic
773C2×C4×C61C22×D411yescharacteristic
774C2×C4×C61C22×D411yescharacteristic
775C2×C4×C61C22×D411yescharacteristic
776C2×C4×C61C22×D411yescharacteristic
777C2×C4×C61C22×D411yescharacteristic
778C2×C4×C61C22×D411yescharacteristic
779C2×C4×C61C22×D411yescharacteristic
780C2×C4×C61C22×D411yescharacteristic
781C2×C4×C61C2511yescharacteristic
782C8×C61—21no—
783C8×C61—21no—
784C8×C61—21no—
785C8×C61—21no—
786C8×C61—21no—
787C8×C61—21no—
788C8×C61—21no—
789C8×C61—21no—
790#61745C6111yesmaximal, characteristic, direct product factor, Sylow
791C22×C61—21no—
792C22×C61—21no—
793C22×C61—21no—
794C22×C61—21no—
795C22×C61—21no—
796C22×C61—21no—
797C22×C61—21no—
798C22×C61—21no—
799C22×C61—21no—
800C22×C61—21no—
801C22×C61—21no—
802C22×C61—21no—
803C22×C61—21no—
804C22×C61—21no—
805C22×C61—44no—
806C22×C61—41no—
807C22×C61—41no—
808C22×C61—41no—
809C22×C61—41no—
810C22×C61—41no—
811C22×C61—41no—
812C22×C61#57712yes—
813C22×C61C23×D411yescharacteristic
814C4×C61—21no—
815C4×C61—21no—
816C4×C61—21no—
817C4×C61—21no—
818C4×C61—21no—
819C4×C61—21no—
820C4×C61—21no—
821C4×C61—21no—
822C4×C61—21no—
823C4×C61—41no—
824C4×C61—41no—
825C4×C61—41no—
826C4×C61—41no—
827C4×C61—41no—
828C4×C61—41no—
829C4×C61—41no—
830C4×C61—41no—
831C4×C61—41no—
832C4×C61—41no—
833C4×C61—41no—
834C4×C61—41no—
835C4×C61—41no—
836C4×C61—41no—
837C4×C61#58511yescharacteristic
838C4×C61#58511yescharacteristic
839#3541C2×C6111yescharacteristic, complemented
840#3492C2×C6111yescharacteristic, complemented
841#3356C2×C6111yescharacteristic, complemented
842#3351C2×C6111yescharacteristic, complemented
843#3350C2×C6111yescharacteristic, complemented
844#3345C2×C6111yescharacteristic, complemented
845#3344C2×C6111yescharacteristic, complemented
846#3344C2×C6111yescharacteristic, complemented
847#3337C2×C6111yescharacteristic, complemented
848#3335C2×C6111yescharacteristic, complemented
849#3331C2×C6111yescharacteristic, complemented
850#3326C2×C6111yescharacteristic, complemented
851#3316C2×C6111yescharacteristic, complemented
852#3312C2×C6111yescharacteristic, complemented
853#3308C2×C6111yescharacteristic, complemented
854#3307C2×C6111yescharacteristic, complemented
855#3300C2×C6111yescharacteristic, complemented
856#3298C2×C6111yescharacteristic, complemented
857#3244C2×C6111yescharacteristic, complemented
858#3242C2×C6111yescharacteristic, complemented
859#3204C2×C6111yescharacteristic, complemented
860#3201C2×C6111yescharacteristic, complemented
861#3196C2×C6111yescharacteristic, complemented
862#3191C2×C6111yescharacteristic, complemented
863#3125C2×C6111yescharacteristic, complemented
864#3120C2×C6111yescharacteristic, complemented
865#3099C2×C6111yescharacteristic, complemented
866#3097C2×C6111yescharacteristic, complemented
867#3092C2×C6111yescharacteristic, complemented
868C2×#483C2×C6111yescharacteristic, complemented
869#2976C2×C6111yescharacteristic, complemented
870C2×C61—22no—
871C2×C61—41no—
872C2×C61—41no—
873C2×C61—41no—
874C2×C61—41no—
875C2×C61—81no—
876C2×C61—81no—
877C2×C61#348511yescharacteristic
878C2×C61C2×#57711yescharacteristic
879C2×C61#358611yescharacteristic
880#563—21no—
881#562—21no—
882#556C22×C6111yescharacteristic
883#554—21no—
884#554—21no—
885#554C22×C6111yescharacteristic
886#554C22×C6111yescharacteristic
887#554C22×C6111yescharacteristic
888#553—21no—
889#553—21no—
890#553C22×C6111yescharacteristic
891#553C22×C6111yescharacteristic
892#553C22×C6111yescharacteristic
893#552—21no—
894#552C22×C6111yescharacteristic
895#552C22×C6111yescharacteristic
896#552C22×C6111yescharacteristic
897D4×Q8C22×C6111yescharacteristic
898#548C22×C6111yescharacteristic
899#548C22×C6111yescharacteristic
900#547—21no—
901#547C22×C6111yescharacteristic
902#547C22×C6111yescharacteristic
903#547C22×C6111yescharacteristic
904#544C22×C6111yescharacteristic
905#542—21no—
906#542C22×C6111yescharacteristic
907#541C22×C6111yescharacteristic
908#539—21no—
909#539—21no—
910#539—21no—
911#538—21no—
912#538—21no—
913#537C22×C6111yescharacteristic
914#537C22×C6111yescharacteristic
915#536C22×C6111yescharacteristic
916#525—21no—
917#525—21no—
918#525C22×C6111yescharacteristic
919#525C22×C6111yescharacteristic
920#525C22×C6111yescharacteristic
921C2×C22⋊Q8C22×C6111yescharacteristic
922#520C22×C6111yescharacteristic
923#520C22×C6111yescharacteristic
924C22×C4⋊C4C22×C6111yescharacteristic
925#501C22×C6111yescharacteristic, complemented
926#501C22×C6111yescharacteristic, complemented
927#499C22×C6111yescharacteristic, complemented
928#498C22×C6111yescharacteristic, complemented
929#491C22×C6111yescharacteristic, complemented
930#489C22×C6111yescharacteristic, complemented
931#488C22×C6111yescharacteristic, complemented
932#487C22×C6111yescharacteristic, complemented
933#485C22×C6111yescharacteristic
934#485C22×C6111yescharacteristic
935#485C22×C6111yescharacteristic
936#485C22×C6111yescharacteristic
937#485C22×C6111yescharacteristic, complemented
938#485C22×C6111yescharacteristic, complemented
939#485C22×C6111yescharacteristic, complemented
940#485C22×C6111yescharacteristic, complemented
941#484C22×C6111yescharacteristic
942#484C22×C6111yescharacteristic
943#484C22×C6111yescharacteristic
944#484C22×C6111yescharacteristic, complemented
945#483C22×C6111yescharacteristic
946#483C22×C6111yescharacteristic
947#483C22×C6111yescharacteristic
948#483C22×C6111yescharacteristic
949#483C22×C6111yescharacteristic
950#483C22×C6111yescharacteristic
951#483C22×C6111yescharacteristic
952#483C22×C6111yescharacteristic
953#483C22×C6111yescharacteristic
954#483C22×C6111yescharacteristic
955#483C22×C6111yescharacteristic, complemented
956#483C22×C6111yescharacteristic, complemented
957#483C22×C6111yescharacteristic, complemented
958#482C22×C6111yescharacteristic
959#482C22×C6111yescharacteristic
960#482C22×C6111yescharacteristic, complemented
961#482C22×C6111yescharacteristic, complemented
962#481C22×C6111yescharacteristic
963#481C22×C6111yescharacteristic
964#481C22×C6111yescharacteristic
965#481C22×C6111yescharacteristic, complemented
966#481C22×C6111yescharacteristic, complemented
967#480C22×C6111yescharacteristic
968#480C22×C6111yescharacteristic
969#479C22×C6111yescharacteristic, complemented
970#479C22×C6111yescharacteristic, complemented
971#479C22×C6111yescharacteristic, complemented
972#479C22×C6111yescharacteristic, complemented
973#478C22×C6111yescharacteristic, complemented
974#478C22×C6111yescharacteristic, complemented
975#477C22×C6111yescharacteristic, complemented
976#476C22×C6111yescharacteristic, complemented
977#476C22×C6111yescharacteristic, complemented
978#475C22×C6111yescharacteristic, complemented
979#475C22×C6111yescharacteristic, complemented
980#475C22×C6111yescharacteristic, complemented
981#470C22×C6111yescharacteristic
982#470C22×C6111yescharacteristic
983#470C22×C6111yescharacteristic, complemented
984#470C22×C6111yescharacteristic, complemented
985#469C22×C6111yescharacteristic, complemented
986#468C22×C6111yescharacteristic
987#468C22×C6111yescharacteristic
988#468C22×C6111yescharacteristic, complemented
989#467C22×C6111yescharacteristic
990#467C22×C6111yescharacteristic, complemented
991#466C22×C6111yescharacteristic
992#465C22×C6111yescharacteristic
993#465C22×C6111yescharacteristic
994#465C22×C6111yescharacteristic, complemented
995#465C22×C6111yescharacteristic, complemented
996#465C22×C6111yescharacteristic, complemented
997#464C22×C6111yescharacteristic, complemented
998#463C22×C6111yescharacteristic, complemented
999#462C22×C6111yescharacteristic, complemented
1000#461C22×C6111yescharacteristic, complemented
1001#452C22×C6111yescharacteristic
1002#452C22×C6111yescharacteristic
1003#452C22×C6111yescharacteristic
1004#452C22×C6111yescharacteristic
1005#452C22×C6111yescharacteristic, complemented
1006#451C22×C6111yescharacteristic
1007#451C22×C6111yescharacteristic, complemented
1008#449C22×C6111yescharacteristic
1009#449C22×C6111yescharacteristic
1010#449C22×C6111yescharacteristic, complemented
1011#448C22×C6111yescharacteristic
1012#448C22×C6111yescharacteristic, complemented
1013#442C22×C6111yescharacteristic, complemented
1014#441C22×C6111yescharacteristic, complemented
1015#441C22×C6111yescharacteristic, complemented
1016#440C22×C6111yescharacteristic, complemented
1017C4×Q16C22×C6111yescharacteristic, complemented
1018C4×SD16C22×C6111yescharacteristic, complemented
1019C4×SD16C22×C6111yescharacteristic, complemented
1020C4×SD16C22×C6111yescharacteristic, complemented
1021#436C22×C6111yescharacteristic
1022#436C22×C6111yescharacteristic
1023#435C22×C6111yescharacteristic
1024#435C22×C6111yescharacteristic
1025#435C22×C6111yescharacteristic
1026#435C22×C6111yescharacteristic
1027C8×D4C22×C6111yescharacteristic
1028C8×D4C22×C6111yescharacteristic
1029#433C22×C6111yescharacteristic
1030#433C22×C6111yescharacteristic
1031#428C22×C6111yescharacteristic
1032#428C22×C6111yescharacteristic
1033#428C22×C6111yescharacteristic, complemented
1034#428C22×C6111yescharacteristic, complemented
1035#427C22×C6111yescharacteristic, complemented
1036C2×#106C22×C6111yescharacteristic
1037C2×#106C22×C6111yescharacteristic
1038C2×#106C22×C6111yescharacteristic, complemented
1039#419C22×C6111yescharacteristic, complemented
1040#417C22×C6111yescharacteristic
1041#417C22×C6111yescharacteristic
1042#417C22×C6111yescharacteristic, complemented
1043#416C22×C6111yescharacteristic, complemented
1044C2×#103C22×C6111yescharacteristic
1045C2×#103C22×C6111yescharacteristic
1046C2×#103C22×C6111yescharacteristic, complemented
1047#408C22×C6111yescharacteristic
1048#408C22×C6111yescharacteristic
1049#407C22×C6111yescharacteristic
1050C2×C22⋊C8C22×C6111yescharacteristic
1051C61#6174511yescharacteristic, direct product factor, Sylow
1052C2×#41—21no—
1053C2×#41—21no—
1054C2×#41C23×C6111yescharacteristic
1055C2×#41C23×C6111yescharacteristic
1056C2×#41C23×C6111yescharacteristic
1057C2×#41C23×C6111yescharacteristic
1058C22×Q8C23×C6111yescharacteristic
1059C22×Q8C23×C6111yescharacteristic
1060C23×C4—21no—
1061C23×C4C23×C6111yescharacteristic
1062C2×Q16C23×C6111yescharacteristic
1063C2×Q16C23×C6111yescharacteristic
1064C2×Q16C23×C6111yescharacteristic
1065C2×SD16C23×C6111yescharacteristic
1066C2×SD16C23×C6111yescharacteristic
1067C2×SD16C23×C6111yescharacteristic
1068C2×SD16C23×C6111yescharacteristic
1069C2×D8C23×C6111yescharacteristic
1070C2×M16C23×C6111yescharacteristic
1071C2×M16C23×C6111yescharacteristic
1072C2×M16C23×C6111yescharacteristic
1073C2×M16C23×C6111yescharacteristic
1074C22×C8C23×C6111yescharacteristic
1075C22×C8C23×C6111yescharacteristic
1076C22×C8C23×C6111yescharacteristic
1077C22×C8C23×C6111yescharacteristic
1078C4⋊Q8—21no—
1079C4⋊Q8—21no—
1080C4⋊Q8—21no—
1081C4⋊Q8C23×C6111yescharacteristic
1082C4⋊Q8C23×C6111yescharacteristic
1083C4⋊Q8C23×C6111yescharacteristic
1084C4⋊Q8C23×C6111yescharacteristic
1085#126—21no—
1086#126—21no—
1087#126—21no—
1088#126—21no—
1089#126—21no—
1090#126—21no—
1091#126—21no—
1092#126—21no—
1093#126—21no—
1094#126—21no—
1095#126—21no—
1096#125—21no—
1097#125—21no—
1098#125—21no—
1099#125—21no—
1100#125—21no—
1101#125—21no—
1102#125—21no—
1103#125—21no—
1104#125—21no—
1105#125C23×C6111yescharacteristic
1106#125C23×C6111yescharacteristic
1107#125C23×C6111yescharacteristic
1108#124—21no—
1109#124—21no—
1110#124—21no—
1111#124—21no—
1112#124—21no—
1113#124C23×C6111yescharacteristic
1114#123—21no—
1115#123—21no—
1116#123—21no—
1117#123—21no—
1118#123—21no—
1119#123—21no—
1120#123—21no—
1121#123—21no—
1122#123—21no—
1123#123—21no—
1124#123—21no—
1125#123—21no—
1126#123—21no—
1127#123—21no—
1128#123—21no—
1129#123—21no—
1130#123—21no—
1131#123D4×C6111yescharacteristic
1132#123D4×C6111yescharacteristic
1133C22⋊Q8—21no—
1134C22⋊Q8—21no—
1135C22⋊Q8—21no—
1136C22⋊Q8—21no—
1137C22⋊Q8—21no—
1138C22⋊Q8—21no—
1139C22⋊Q8—21no—
1140C22⋊Q8—21no—
1141C22⋊Q8—21no—
1142C22⋊Q8—21no—
1143C22⋊Q8—21no—
1144C22⋊Q8—21no—
1145C22⋊Q8—21no—
1146C22⋊Q8—21no—
1147C22⋊Q8—21no—
1148C22⋊Q8—21no—
1149C22⋊Q8—21no—
1150C22⋊Q8—21no—
1151C22⋊Q8—21no—
1152C22⋊Q8D4×C6111yescharacteristic
1153C22⋊Q8D4×C6111yescharacteristic
1154C22⋊Q8C23×C6111yescharacteristic
1155C22⋊Q8C23×C6111yescharacteristic
1156C22⋊Q8C23×C6111yescharacteristic
1157C22⋊Q8C23×C6111yescharacteristic
1158C22⋊Q8C23×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
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#121D4×C6111yescharacteristic
1180#121D4×C6111yescharacteristic
1181#121C23×C6111yescharacteristic
1182#121C23×C6111yescharacteristic
1183#121C23×C6111yescharacteristic
1184#121C23×C6111yescharacteristic
1185#121C23×C6111yescharacteristic
1186#121C23×C6111yescharacteristic
1187#121C23×C6111yescharacteristic
1188#120—21no—
1189#120—21no—
1190#120D4×C6111yescharacteristic
1191#120D4×C6111yescharacteristic
1192C4×Q8—21no—
1193C4×Q8—21no—
1194C4×Q8C23×C6111yescharacteristic
1195C4×Q8C23×C6111yescharacteristic
1196C4×Q8C23×C6111yescharacteristic
1197C4×Q8C23×C6111yescharacteristic
1198C4×Q8C23×C6111yescharacteristic
1199C4×D4—21no—
1200C4×D4—21no—
1201C4×D4—21no—
1202C4×D4—21no—
1203C4×D4—21no—
1204C4×D4—21no—
1205C4×D4—21no—
1206C4×D4—21no—
1207C4×D4—21no—
1208C4×D4—21no—
1209C4×D4—21no—
1210C4×D4—21no—
1211C4×D4—21no—
1212C4×D4—21no—
1213C4×D4—21no—
1214C4×D4—21no—
1215C4×D4—21no—
1216C4×D4—21no—
1217C4×D4C23×C6111yescharacteristic
1218C4×D4C23×C6111yescharacteristic
1219C4×D4C23×C6111yescharacteristic
1220C4×D4C23×C6111yescharacteristic
1221C4×D4C23×C6111yescharacteristic
1222C4×D4C23×C6111yescharacteristic
1223C4×D4C23×C6111yescharacteristic
1224#117—21no—
1225#117—21no—
1226#117—21no—
1227#117—21no—
1228#117C23×C6111yescharacteristic
1229#117C23×C6111yescharacteristic
1230#117C23×C6111yescharacteristic
1231#117C23×C6111yescharacteristic
1232#117C23×C6111yescharacteristic
1233#117C23×C6111yescharacteristic
1234C2×C4⋊C4—21no—
1235C2×C4⋊C4—21no—
1236C2×C4⋊C4—21no—
1237C2×C4⋊C4—21no—
1238C2×C4⋊C4—21no—
1239C2×C4⋊C4—21no—
1240C2×C4⋊C4C23×C6111yescharacteristic
1241C2×C4⋊C4C23×C6111yescharacteristic
1242C2×C4⋊C4C23×C6111yescharacteristic
1243C2×C4⋊C4C23×C6111yescharacteristic
1244C2×C4⋊C4C23×C6111yescharacteristic
1245C2×C4⋊C4C23×C6111yescharacteristic
1246C2×C4⋊C4C23×C6111yescharacteristic
1247C2×C4⋊C4C23×C6111yescharacteristic
1248C2×C4⋊C4C23×C6111yescharacteristic
1249C2×C4⋊C4C23×C6111yescharacteristic
1250C2×C22⋊C4—21no—
1251#107C23×C6111yescharacteristic
1252#107C23×C6111yescharacteristic
1253#107C23×C6111yescharacteristic
1254#107C23×C6111yescharacteristic
1255#107C23×C6111yescharacteristic
1256#107C23×C6111yescharacteristic
1257#107C23×C6111yescharacteristic
1258#107C23×C6111yescharacteristic
1259#106C23×C6111yescharacteristic
1260#106C23×C6111yescharacteristic
1261#106C23×C6111yescharacteristic
1262#106C23×C6111yescharacteristic
1263#106C23×C6111yescharacteristic
1264#106C23×C6111yescharacteristic
1265#106C23×C6111yescharacteristic
1266#106C23×C6111yescharacteristic
1267#106C23×C6111yescharacteristic
1268#106C23×C6111yescharacteristic
1269#106C23×C6111yescharacteristic
1270#106C23×C6111yescharacteristic
1271#106C23×C6111yescharacteristic
1272#106C23×C6111yescharacteristic
1273#106C23×C6111yescharacteristic
1274#106C23×C6111yescharacteristic
1275C4⋊C8C23×C6111yescharacteristic
1276C4⋊C8C23×C6111yescharacteristic
1277C4⋊C8C23×C6111yescharacteristic
1278C4⋊C8C23×C6111yescharacteristic
1279#103C23×C6111yescharacteristic
1280#103C23×C6111yescharacteristic
1281#103C23×C6111yescharacteristic
1282#103C23×C6111yescharacteristic
1283#103C23×C6111yescharacteristic
1284#103C23×C6111yescharacteristic
1285#103C23×C6111yescharacteristic
1286#103C23×C6111yescharacteristic
1287#103C23×C6111yescharacteristic
1288#103C23×C6111yescharacteristic
1289#103C23×C6111yescharacteristic
1290#103C23×C6111yescharacteristic
1291#103C23×C6111yescharacteristic
1292#103C23×C6111yescharacteristic
1293#103C23×C6111yescharacteristic
1294#103C23×C6111yescharacteristic
1295#103C23×C6111yescharacteristic
1296#103C23×C6111yescharacteristic
1297#103C23×C6111yescharacteristic
1298#103C23×C6111yescharacteristic
1299#103C23×C6111yescharacteristic
1300#103C23×C6111yescharacteristic
1301#102C23×C6111yescharacteristic
1302#102C23×C6111yescharacteristic
1303#102C23×C6111yescharacteristic
1304#102C23×C6111yescharacteristic
1305#102C23×C6111yescharacteristic
1306#102C23×C6111yescharacteristic
1307#102C23×C6111yescharacteristic
1308#102C23×C6111yescharacteristic
1309#102C23×C6111yescharacteristic
1310#102C23×C6111yescharacteristic
1311C22⋊C8C23×C6111yescharacteristic
1312C22⋊C8C23×C6111yescharacteristic
1313C22⋊C8C23×C6111yescharacteristic
1314C22⋊C8C23×C6111yescharacteristic
1315C22⋊C8C23×C6111yescharacteristic
1316C22⋊C8C23×C6111yescharacteristic
1317C22⋊C8C23×C6111yescharacteristic
1318C22⋊C8C23×C6111yescharacteristic
1319C22⋊C8C23×C6111yescharacteristic
1320C22⋊C8C23×C6111yescharacteristic
1321C22⋊C8C23×C6111yescharacteristic
1322C22⋊C8C23×C6111yescharacteristic
1323#97C23×C6111yescharacteristic
1324#97C23×C6111yescharacteristic
1325C4×C8C23×C6111yescharacteristic
1326C4×C8C23×C6111yescharacteristic
1327C24C2×D4×C6111yescharacteristic
1328#41—41no—
1329#41—41no—
1330#41—41no—
1331#41—41no—
1332#41—41no—
1333#41—41no—
1334#41—41no—
1335#41—41no—
1336#41—82no—
1337#41—82no—
1338C2×Q8—21no—
1339C2×Q8—21no—
1340C2×Q8—21no—
1341C2×Q8—21no—
1342C2×Q8—21no—
1343C2×Q8—41no—
1344C2×Q8—41no—
1345C2×Q8—41no—
1346C2×Q8—41no—
1347C2×Q8C2×D4×C6111yescharacteristic
1348C2×Q8C24×C6111yescharacteristic
1349C2×Q8C24×C6111yescharacteristic
1350C2×Q8C24×C6111yescharacteristic
1351C2×Q8C24×C6111yescharacteristic
1352C2×D4—21no—
1353C2×D4—21no—
1354C2×D4—21no—
1355C2×D4—21no—
1356C2×D4—21no—
1357C2×D4—21no—
1358C2×D4—21no—
1359C2×D4—21no—
1360C2×D4—21no—
1361C2×D4—21no—
1362C2×D4C2×D4×C6111yescharacteristic
1363C2×D4C2×D4×C6111yescharacteristic
1364C2×D4C2×D4×C6111yescharacteristic
1365C2×D4C2×D4×C6111yescharacteristic
1366C2×D4C2×D4×C6111yescharacteristic
1367C2×D4C2×D4×C6111yescharacteristic
1368C2×D4C2×D4×C6111yescharacteristic
1369C2×D4C24×C6111yescharacteristic
1370C2×D4C24×C6111yescharacteristic
1371C22×C4—21no—
1372C22×C4—21no—
1373C22×C4—21no—
1374C22×C4—21no—
1375C22×C4—21no—
1376C22×C4—21no—
1377C22×C4—21no—
1378C22×C4—21no—
1379C22×C4—21no—
1380C22×C4—21no—
1381C22×C4—21no—
1382C22×C4—21no—
1383C22×C4—21no—
1384C22×C4—21no—
1385C22×C4—21no—
1386C22×C4—21no—
1387C22×C4—21no—
1388C22×C4—21no—
1389C22×C4—41no—
1390C22×C4—41no—
1391C22×C4—82no—
1392C22×C4C2×D4×C6111yescharacteristic
1393C22×C4C2×D4×C6111yescharacteristic
1394C22×C4C2×D4×C6111yescharacteristic
1395C22×C4C24×C6111yescharacteristic
1396C22×C4C24×C6111yescharacteristic
1397C22×C4C24×C6111yescharacteristic
1398C22×C4C24×C6111yescharacteristic
1399C22×C4C24×C6111yescharacteristic
1400Q16—41no—
1401Q16—41no—
1402Q16—41no—
1403SD16—41no—
1404SD16—41no—
1405SD16—41no—
1406SD16—41no—
1407D8—41no—
1408M16—41no—
1409M16—41no—
1410M16—41no—
1411M16—41no—
1412C2×C8—41no—
1413C2×C8—41no—
1414C2×C8—41no—
1415C2×C8—41no—
1416C2×C8C24×C6111yescharacteristic
1417C2×C8C24×C6111yescharacteristic
1418C2×C8C24×C6111yescharacteristic
1419C2×C8C24×C6111yescharacteristic
1420C2×C8C24×C6111yescharacteristic
1421C2×C8C24×C6111yescharacteristic
1422C2×C8C24×C6111yescharacteristic
1423C2×C8C24×C6111yescharacteristic
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—21no—
1428C4⋊C4—21no—
1429C4⋊C4—21no—
1430C4⋊C4—21no—
1431C4⋊C4—21no—
1432C4⋊C4—21no—
1433C4⋊C4—21no—
1434C4⋊C4—21no—
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—21no—
1441C4⋊C4—21no—
1442C4⋊C4—21no—
1443C4⋊C4—21no—
1444C4⋊C4—21no—
1445C4⋊C4—21no—
1446C4⋊C4—21no—
1447C4⋊C4—21no—
1448C4⋊C4—21no—
1449C4⋊C4—21no—
1450C4⋊C4—21no—
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—21no—
1454C4⋊C4—21no—
1455C4⋊C4—21no—
1456C4⋊C4—21no—
1457C4⋊C4—21no—
1458C4⋊C4—21no—
1459C4⋊C4—21no—
1460C4⋊C4—21no—
1461C4⋊C4—21no—
1462C4⋊C4—21no—
1463C4⋊C4C2×D4×C6111yescharacteristic
1464C4⋊C4C2×D4×C6111yescharacteristic
1465C4⋊C4C2×D4×C6111yescharacteristic
1466C4⋊C4C2×D4×C6111yescharacteristic
1467C4⋊C4C2×D4×C6111yescharacteristic
1468C4⋊C4C2×D4×C6111yescharacteristic
1469C4⋊C4C24×C6111yescharacteristic
1470C4⋊C4C24×C6111yescharacteristic
1471C4⋊C4C24×C6111yescharacteristic
1472C4⋊C4C24×C6111yescharacteristic
1473C4⋊C4C24×C6111yescharacteristic
1474C4⋊C4C24×C6111yescharacteristic
1475C4⋊C4C24×C6111yescharacteristic
1476C4⋊C4C24×C6111yescharacteristic
1477C4⋊C4C24×C6111yescharacteristic
1478C4⋊C4C24×C6111yescharacteristic
1479C22⋊C4—21no—
1480C22⋊C4—21no—
1481C22⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—21no—
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—21no—
1489C22⋊C4—21no—
1490C22⋊C4—21no—
1491C22⋊C4—21no—
1492C22⋊C4—21no—
1493C22⋊C4—21no—
1494C22⋊C4—21no—
1495C22⋊C4—21no—
1496C22⋊C4—21no—
1497C22⋊C4—21no—
1498C22⋊C4—21no—
1499C22⋊C4—21no—
1500C22⋊C4—21no—
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4—21no—
1507C22⋊C4—21no—
1508C22⋊C4—21no—
1509C22⋊C4C2×D4×C6111yescharacteristic
1510C22⋊C4C2×D4×C6111yescharacteristic
1511C22⋊C4C2×D4×C6111yescharacteristic
1512C22⋊C4C2×D4×C6111yescharacteristic
1513C22⋊C4C2×D4×C6111yescharacteristic
1514C22⋊C4C2×D4×C6111yescharacteristic
1515C22⋊C4C2×D4×C6111yescharacteristic
1516C22⋊C4C2×D4×C6111yescharacteristic
1517C22⋊C4C2×D4×C6111yescharacteristic
1518C22⋊C4C2×D4×C6111yescharacteristic
1519C42—21no—
1520C42—21no—
1521C42—21no—
1522C42—21no—
1523C42—21no—
1524C42—21no—
1525C42—21no—
1526C42—21no—
1527C42—21no—
1528C42—21no—
1529C42C24×C6111yescharacteristic
1530C42C24×C6111yescharacteristic
1531C23—22no—
1532C23—21no—
1533C23—21no—
1534C23—41no—
1535C23—41no—
1536C23C22×D4×C6111yescharacteristic
1537C23C22×D4×C6111yescharacteristic
1538C23C22×D4×C6111yescharacteristic
1539C23C22×D4×C6111yescharacteristic
1540C23C22×D4×C6111yescharacteristic
1541Q8—21no—
1542Q8—21no—
1543Q8—21no—
1544Q8—21no—
1545Q8—21no—
1546Q8—21no—
1547Q8—21no—
1548Q8—21no—
1549Q8—41no—
1550Q8—81no—
1551Q8—81no—
1552Q8—81no—
1553Q8—81no—
1554Q8—81no—
1555D4—22no—
1556D4—22no—
1557D4—21no—
1558D4—21no—
1559D4—21no—
1560D4—21no—
1561D4—41no—
1562D4—41no—
1563D4—41no—
1564D4—41no—
1565D4—41no—
1566D4—42no—
1567D4—42no—
1568D4—42no—
1569D4—42no—
1570D4—81no—
1571D4—81no—
1572D4—81no—
1573D4—81no—
1574D4—81no—
1575D4—81no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—41no—
1601C2×C4—41no—
1602C2×C4—41no—
1603C2×C4—42no—
1604C2×C4—42no—
1605C2×C4—42no—
1606C2×C4—81no—
1607C2×C4—81no—
1608C2×C4—81no—
1609C2×C4—81no—
1610C2×C4—81no—
1611C2×C4—81no—
1612C2×C4—81no—
1613C2×C4—81no—
1614C2×C4—81no—
1615C2×C4—81no—
1616C2×C4—81no—
1617C2×C4—81no—
1618C2×C4—81no—
1619C2×C4—81no—
1620C2×C4—81no—
1621C2×C4C22×D4×C6111yescharacteristic
1622C2×C4C22×D4×C6111yescharacteristic
1623C2×C4C22×D4×C6111yescharacteristic
1624C2×C4C22×D4×C6111yescharacteristic
1625C2×C4C22×D4×C6111yescharacteristic
1626C2×C4C22×D4×C6111yescharacteristic
1627C2×C4C22×D4×C6111yescharacteristic
1628C2×C4C22×D4×C6111yescharacteristic
1629C2×C4C22×D4×C6111yescharacteristic
1630C2×C4C25×C6111yescharacteristic
1631C8—21no—
1632C8—21no—
1633C8—21no—
1634C8—21no—
1635C8—21no—
1636C8—21no—
1637C8—21no—
1638C8—21no—
1639C22—21no—
1640C22—21no—
1641C22—21no—
1642C22—21no—
1643C22—21no—
1644C22—21no—
1645C22—21no—
1646C22—21no—
1647C22—21no—
1648C22—21no—
1649C22—21no—
1650C22—21no—
1651C22—21no—
1652C22—21no—
1653C22—44no—
1654C22—41no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22C61×#57712yes—
1661C22C23×D4×C6111yescharacteristic
1662C4—21no—
1663C4—21no—
1664C4—21no—
1665C4—21no—
1666C4—21no—
1667C4—21no—
1668C4—21no—
1669C4—21no—
1670C4—21no—
1671C4—41no—
1672C4—41no—
1673C4—41no—
1674C4—41no—
1675C4—41no—
1676C4—41no—
1677C4—41no—
1678C4—41no—
1679C4—41no—
1680C4—41no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4C61×#58511yescharacteristic
1686C4C61×#58511yescharacteristic
1687C2—22no—
1688C2—41no—
1689C2—41no—
1690C2—41no—
1691C2—41no—
1692C2—81no—
1693C2—81no—
1694C2C61×#348511yescharacteristic
1695C2C2×C61×#57711yescharacteristic
1696C2C61×#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×#3541C2semidirect
2. C61×#3492C2semidirect
3. C61×#3356C2semidirect
4. C61×#3351C2semidirect
5. C61×#3350C2semidirect
6. C61×#3345C2semidirect
7. C61×#3344C2semidirect
8. C61×#3344C2semidirect
9. C61×#3337C2semidirect
10. C61×#3335C2semidirect
11. C61×#3331C2semidirect
12. C61×#3326C2semidirect
13. C61×#3316C2semidirect
14. C61×#3312C2semidirect
15. C61×#3308C2semidirect
16. C61×#3307C2semidirect
17. C61×#3300C2semidirect
18. C61×#3298C2semidirect
19. C61×#3244C2semidirect
20. C61×#3242C2semidirect
21. C61×#3204C2semidirect
22. C61×#3201C2semidirect
23. C61×#3196C2semidirect
24. C61×#3191C2semidirect
25. C61×#3125C2semidirect
26. C61×#3120C2semidirect
27. C61×#3099C2semidirect
28. C61×#3097C2semidirect
29. C61×#3092C2semidirect
30. C2×C61×#483C2semidirect
31. C61×#2976C2semidirect
77. C61×#501C22semidirect
78. C61×#501C22semidirect
79. C61×#499C22semidirect
80. C61×#498C22semidirect
81. C61×#491C22semidirect
82. C61×#489C22semidirect
83. C61×#488C22semidirect
84. C61×#487C22semidirect
89. C61×#485C22semidirect
90. C61×#485C22semidirect
91. C61×#485C22semidirect
92. C61×#485C22semidirect
96. C61×#484C22semidirect
107. C61×#483C22semidirect
108. C61×#483C22semidirect
109. C61×#483C22semidirect
112. C61×#482C22semidirect
113. C61×#482C22semidirect
117. C61×#481C22semidirect
118. C61×#481C22semidirect
121. C61×#479C22semidirect
122. C61×#479C22semidirect
123. C61×#479C22semidirect
124. C61×#479C22semidirect
125. C61×#478C22semidirect
126. C61×#478C22semidirect
127. C61×#477C22semidirect
128. C61×#476C22semidirect
129. C61×#476C22semidirect
130. C61×#475C22semidirect
131. C61×#475C22semidirect
132. C61×#475C22semidirect
135. C61×#470C22semidirect
136. C61×#470C22semidirect
137. C61×#469C22semidirect
140. C61×#468C22semidirect
142. C61×#467C22semidirect
146. C61×#465C22semidirect
147. C61×#465C22semidirect
148. C61×#465C22semidirect
149. C61×#464C22semidirect
150. C61×#463C22semidirect
151. C61×#462C22semidirect
152. C61×#461C22semidirect
157. C61×#452C22semidirect
159. C61×#451C22semidirect
162. C61×#449C22semidirect
164. C61×#448C22semidirect
165. C61×#442C22semidirect
166. C61×#441C22semidirect
167. C61×#441C22semidirect
168. C61×#440C22semidirect
169. C4×Q16×C61C22semidirect
170. C4×SD16×C61C22semidirect
171. C4×SD16×C61C22semidirect
172. C4×SD16×C61C22semidirect
185. C61×#428C22semidirect
186. C61×#428C22semidirect
187. C61×#427C22semidirect
190. C2×#106×C61C22semidirect
191. C61×#419C22semidirect
194. C61×#417C22semidirect
195. C61×#416C22semidirect
198. C2×#103×C61C22semidirect
790. #61745C61direct (N × H)
839. #3541C2×C61semidirect
840. #3492C2×C61semidirect
841. #3356C2×C61semidirect
842. #3351C2×C61semidirect
843. #3350C2×C61semidirect
844. #3345C2×C61semidirect
845. #3344C2×C61semidirect
846. #3344C2×C61semidirect
847. #3337C2×C61semidirect
848. #3335C2×C61semidirect
849. #3331C2×C61semidirect
850. #3326C2×C61semidirect
851. #3316C2×C61semidirect
852. #3312C2×C61semidirect
853. #3308C2×C61semidirect
854. #3307C2×C61semidirect
855. #3300C2×C61semidirect
856. #3298C2×C61semidirect
857. #3244C2×C61semidirect
858. #3242C2×C61semidirect
859. #3204C2×C61semidirect
860. #3201C2×C61semidirect
861. #3196C2×C61semidirect
862. #3191C2×C61semidirect
863. #3125C2×C61semidirect
864. #3120C2×C61semidirect
865. #3099C2×C61semidirect
866. #3097C2×C61semidirect
867. #3092C2×C61semidirect
868. C2×#483C2×C61semidirect
869. #2976C2×C61semidirect
925. #501C22×C61semidirect
926. #501C22×C61semidirect
927. #499C22×C61semidirect
928. #498C22×C61semidirect
929. #491C22×C61semidirect
930. #489C22×C61semidirect
931. #488C22×C61semidirect
932. #487C22×C61semidirect
937. #485C22×C61semidirect
938. #485C22×C61semidirect
939. #485C22×C61semidirect
940. #485C22×C61semidirect
944. #484C22×C61semidirect
955. #483C22×C61semidirect
956. #483C22×C61semidirect
957. #483C22×C61semidirect
960. #482C22×C61semidirect
961. #482C22×C61semidirect
965. #481C22×C61semidirect
966. #481C22×C61semidirect
969. #479C22×C61semidirect
970. #479C22×C61semidirect
971. #479C22×C61semidirect
972. #479C22×C61semidirect
973. #478C22×C61semidirect
974. #478C22×C61semidirect
975. #477C22×C61semidirect
976. #476C22×C61semidirect
977. #476C22×C61semidirect
978. #475C22×C61semidirect
979. #475C22×C61semidirect
980. #475C22×C61semidirect
983. #470C22×C61semidirect
984. #470C22×C61semidirect
985. #469C22×C61semidirect
988. #468C22×C61semidirect
990. #467C22×C61semidirect
994. #465C22×C61semidirect
995. #465C22×C61semidirect
996. #465C22×C61semidirect
997. #464C22×C61semidirect
998. #463C22×C61semidirect
999. #462C22×C61semidirect
1000. #461C22×C61semidirect
1005. #452C22×C61semidirect
1007. #451C22×C61semidirect
1010. #449C22×C61semidirect
1012. #448C22×C61semidirect
1013. #442C22×C61semidirect
1014. #441C22×C61semidirect
1015. #441C22×C61semidirect
1016. #440C22×C61semidirect
1017. C4×Q16C22×C61semidirect
1018. C4×SD16C22×C61semidirect
1019. C4×SD16C22×C61semidirect
1020. C4×SD16C22×C61semidirect
1033. #428C22×C61semidirect
1034. #428C22×C61semidirect
1035. #427C22×C61semidirect
1038. C2×#106C22×C61semidirect
1039. #419C22×C61semidirect
1042. #417C22×C61semidirect
1043. #416C22×C61semidirect
1046. C2×#103C22×C61semidirect
1051. C61#61745direct (N × H)

Maximal subgroups

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

subgroupindex
C61×#35412
C61×#34922
C61×#33562
C61×#33512
C61×#33502
C61×#33452
C61×#33442
C61×#33372
C61×#33352
C61×#33312
C61×#33262
C61×#33162
C61×#33122
C61×#33082
C61×#33072
C61×#33002
C61×#32982
C61×#32442
C61×#32422
C61×#32042
C61×#32012
C61×#31962
C61×#31912
C61×#31252
C61×#31202
C61×#30992
C61×#30972
C61×#30922
C2×C61×#4832
C61×#29762
#6174561