Finite Group Databasebeta

← C61×#61004 #29564437

Subgroups — C61×#61004 #29564437

Order 15616.

1732 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×#3495C211yesmaximal, characteristic, complemented
2C61×#3494C211yesmaximal, characteristic, complemented
3C61×#3256C211yesmaximal, characteristic, complemented
4C61×#3254C211yesmaximal, characteristic, complemented
5C61×#3252C211yesmaximal, characteristic, complemented
6C61×#3251C211yesmaximal, characteristic, complemented
7C61×#3243C211yesmaximal, characteristic, complemented
8C61×#3243C211yesmaximal, characteristic, complemented
9C61×#3242C211yesmaximal, characteristic, complemented
10C61×#3241C211yesmaximal, characteristic, complemented
11C61×#3225C211yesmaximal, characteristic, complemented
12C61×#3224C211yesmaximal, characteristic, complemented
13C61×#3222C211yesmaximal, characteristic, complemented
14C61×#3221C211yesmaximal, characteristic, complemented
15C61×#3197C211yesmaximal, characteristic, complemented
16C61×#3196C211yesmaximal, characteristic, complemented
17C61×#3194C211yesmaximal, characteristic, complemented
18C61×#3193C211yesmaximal, characteristic, complemented
19C61×#3183C211yesmaximal, characteristic, complemented
20C61×#3182C211yesmaximal, characteristic, complemented
21C61×#3172C211yesmaximal, characteristic, complemented
22C61×#3171C211yesmaximal, characteristic, complemented
23C61×#3126C211yesmaximal, characteristic, complemented
24C61×#3124C211yesmaximal, characteristic, complemented
25C61×#3124C211yesmaximal, characteristic, complemented
26C61×#3123C211yesmaximal, characteristic, complemented
27C61×#3121C211yesmaximal, characteristic, complemented
28C61×#3120C211yesmaximal, characteristic, complemented
29C61×#3119C211yesmaximal, characteristic, complemented
30C61×#3118C211yesmaximal, characteristic, complemented
31C61×#2921C211yesmaximal, characteristic, complemented
32C61×#556—21no—
33C61×#555—21no—
34C61×#554—21no—
35C61×#553—21no—
36C61×#553—21no—
37C61×#552—21no—
38C61×#552—21no—
39C61×#552—21no—
40C61×#552—21no—
41C61×#551—21no—
42C61×#551—21no—
43C61×#551—21no—
44C61×#551—21no—
45C61×#547—21no—
46C61×#546—21no—
47C61×#546—21no—
48C61×#544C2211yescharacteristic
49C61×#544C2211yescharacteristic, complemented
50C61×#542C2211yescharacteristic
51C61×#542C2211yescharacteristic
52C61×#542C2211yescharacteristic
53C61×#542C2211yescharacteristic
54C61×#541C2211yescharacteristic
55C61×#541C2211yescharacteristic
56C61×#540C2211yescharacteristic
57C61×#540C2211yescharacteristic
58C61×#536C2211yescharacteristic, complemented
59C61×#535C2211yescharacteristic
60C61×#533C2211yescharacteristic, complemented
61C61×#533C2211yescharacteristic, complemented
62C61×#532C2211yescharacteristic
63C61×#532C2211yescharacteristic
64C61×#529C2211yescharacteristic
65C61×#529C2211yescharacteristic
66C61×#529C2211yescharacteristic, complemented
67C61×#529C2211yescharacteristic, complemented
68C61×#525C2211yescharacteristic
69C61×#525C2211yescharacteristic
70C2×C22⋊Q8×C61C2211yescharacteristic
71C2×#121×C61C2211yescharacteristic
72C61×#520C2211yescharacteristic
73C61×#520C2211yescharacteristic, complemented
74C61×#519C2211yescharacteristic, complemented
75C61×#518C2211yescharacteristic
76C2×#117×C61C2211yescharacteristic
77C61×#501C2211yescharacteristic, complemented
78C61×#501C2211yescharacteristic, complemented
79C61×#500C2211yescharacteristic, complemented
80C61×#499C2211yescharacteristic, complemented
81C61×#497C2211yescharacteristic, complemented
82C61×#496C2211yescharacteristic, complemented
83C61×#495C2211yescharacteristic, complemented
84C61×#492C2211yescharacteristic, complemented
85C61×#491C2211yescharacteristic, complemented
86C61×#490C2211yescharacteristic, complemented
87C61×#489C2211yescharacteristic, complemented
88C61×#489C2211yescharacteristic, complemented
89C61×#488C2211yescharacteristic, complemented
90C61×#488C2211yescharacteristic, complemented
91C61×#487C2211yescharacteristic, complemented
92C61×#486C2211yescharacteristic, complemented
93C61×#485C2211yescharacteristic
94C61×#485C2211yescharacteristic
95C61×#485C2211yescharacteristic
96C61×#485C2211yescharacteristic, complemented
97C61×#484C2211yescharacteristic
98C61×#484C2211yescharacteristic
99C61×#484C2211yescharacteristic, complemented
100C61×#483C2211yescharacteristic
101C61×#482C2211yescharacteristic
102C61×#482C2211yescharacteristic
103C61×#482C2211yescharacteristic
104C61×#482C2211yescharacteristic, complemented
105C61×#481C2211yescharacteristic, complemented
106C61×#480C2211yescharacteristic
107C61×#480C2211yescharacteristic
108C61×#480C2211yescharacteristic
109C61×#479C2211yescharacteristic, complemented
110C61×#479C2211yescharacteristic, complemented
111C61×#479C2211yescharacteristic, complemented
112C61×#479C2211yescharacteristic, complemented
113C61×#478C2211yescharacteristic, complemented
114C61×#478C2211yescharacteristic, complemented
115C61×#478C2211yescharacteristic, complemented
116C61×#478C2211yescharacteristic, complemented
117C61×#477C2211yescharacteristic, complemented
118C61×#477C2211yescharacteristic, complemented
119C61×#477C2211yescharacteristic, complemented
120C61×#476C2211yescharacteristic, complemented
121C61×#475C2211yescharacteristic, complemented
122C61×#474C2211yescharacteristic, complemented
123C61×#474C2211yescharacteristic, complemented
124C61×#474C2211yescharacteristic, complemented
125C61×#470C2211yescharacteristic, complemented
126C61×#470C2211yescharacteristic, complemented
127C61×#470C2211yescharacteristic, complemented
128C61×#469C2211yescharacteristic
129C61×#469C2211yescharacteristic
130C61×#469C2211yescharacteristic, complemented
131C61×#468C2211yescharacteristic
132C61×#468C2211yescharacteristic
133C61×#468C2211yescharacteristic
134C61×#468C2211yescharacteristic
135C61×#468C2211yescharacteristic
136C61×#468C2211yescharacteristic
137C61×#468C2211yescharacteristic, complemented
138C61×#468C2211yescharacteristic, complemented
139C61×#468C2211yescharacteristic, complemented
140C61×#468C2211yescharacteristic, complemented
141C61×#464C2211yescharacteristic, complemented
142C61×#464C2211yescharacteristic, complemented
143C61×#464C2211yescharacteristic, complemented
144C61×#464C2211yescharacteristic, complemented
145C61×#463C2211yescharacteristic, complemented
146C61×#463C2211yescharacteristic, complemented
147C61×#463C2211yescharacteristic, complemented
148C61×#463C2211yescharacteristic, complemented
149C61×#462C2211yescharacteristic, complemented
150C61×#461C2211yescharacteristic, complemented
151C61×#461C2211yescharacteristic, complemented
152C61×#461C2211yescharacteristic, complemented
153C61×#460C2211yescharacteristic, complemented
154C61×#460C2211yescharacteristic, complemented
155C61×#460C2211yescharacteristic, complemented
156C61×#459C2211yescharacteristic, complemented
157C61×#452C2211yescharacteristic
158C61×#452C2211yescharacteristic
159C61×#452C2211yescharacteristic
160C61×#452C2211yescharacteristic, complemented
161C61×#451C2211yescharacteristic, complemented
162C61×#450C2211yescharacteristic
163C61×#450C2211yescharacteristic
164C61×#450C2211yescharacteristic
165C61×#449C2211yescharacteristic
166C61×#449C2211yescharacteristic
167C61×#449C2211yescharacteristic
168C61×#449C2211yescharacteristic, complemented
169C61×#448C2211yescharacteristic
170C61×#448C2211yescharacteristic
171C61×#448C2211yescharacteristic, complemented
172C61×#447C2211yescharacteristic
173C61×#442C2211yescharacteristic, complemented
174C61×#441C2211yescharacteristic, complemented
175C61×#440C2211yescharacteristic, complemented
176C61×#440C2211yescharacteristic, complemented
177C61×#440C2211yescharacteristic, complemented
178C61×#440C2211yescharacteristic, complemented
179C61×#440C2211yescharacteristic, complemented
180C61×#440C2211yescharacteristic, complemented
181C4×Q16×C61C2211yescharacteristic, complemented
182C4×Q16×C61C2211yescharacteristic, complemented
183C4×SD16×C61C2211yescharacteristic, complemented
184C4×SD16×C61C2211yescharacteristic, complemented
185C4×SD16×C61C2211yescharacteristic, complemented
186C4×SD16×C61C2211yescharacteristic, complemented
187C4×D8×C61C2211yescharacteristic, complemented
188C4×D8×C61C2211yescharacteristic, complemented
189C61×#433C2211yescharacteristic
190C61×#433C2211yescharacteristic
191C61×#433C2211yescharacteristic
192C61×#433C2211yescharacteristic
193C61×#433C2211yescharacteristic, complemented
194C61×#433C2211yescharacteristic, complemented
195C61×#433C2211yescharacteristic, complemented
196C61×#433C2211yescharacteristic, complemented
197C61×#423C2211yescharacteristic, complemented
198C61×#423C2211yescharacteristic, complemented
199C61×#407C2211yescharacteristic
200C61×#407C2211yescharacteristic
201C4×M16×C61C2211yescharacteristic, complemented
202C4×M16×C61C2211yescharacteristic, complemented
203C2×#41×C61—21no—
204C2×#41×C61—21no—
205C2×#41×C61C2311yescharacteristic
206C2×#41×C61C2311yescharacteristic
207C22×Q8×C61C2311yescharacteristic
208C22×D4×C61—21no—
209C22×D4×C61C2311yescharacteristic
210C23×C4×C61C2311yescharacteristic
211C2×Q16×C61C2311yescharacteristic
212C2×Q16×C61C2311yescharacteristic
213C2×Q16×C61C2311yescharacteristic
214C2×SD16×C61C2311yescharacteristic
215C2×SD16×C61C2311yescharacteristic
216C2×SD16×C61C2311yescharacteristic
217C2×SD16×C61C2311yescharacteristic
218C2×SD16×C61C2311yescharacteristic
219C2×SD16×C61C2311yescharacteristic
220C2×SD16×C61C2311yescharacteristic
221C2×SD16×C61C2311yescharacteristic
222C2×SD16×C61C2311yescharacteristic
223C2×SD16×C61C2311yescharacteristic
224C2×D8×C61C2311yescharacteristic
225C2×D8×C61C2311yescharacteristic
226C2×D8×C61C2311yescharacteristic
227C2×M16×C61C2311yescharacteristic
228C2×M16×C61C2311yescharacteristic
229C2×M16×C61C2311yescharacteristic
230C2×M16×C61C2311yescharacteristic
231C4⋊Q8×C61—21no—
232C4⋊Q8×C61—21no—
233C4⋊Q8×C61C2311yescharacteristic
234C4⋊Q8×C61C2311yescharacteristic
235C4⋊Q8×C61C2311yescharacteristic
236C4⋊Q8×C61C2311yescharacteristic
237C4⋊Q8×C61C2311yescharacteristic
238C4⋊Q8×C61C2311yescharacteristic
239#127×C61C2311yescharacteristic
240#127×C61C2311yescharacteristic
241#126×C61—21no—
242#126×C61—21no—
243#126×C61—21no—
244#126×C61—21no—
245#126×C61—21no—
246#126×C61—21no—
247#126×C61—21no—
248#126×C61—21no—
249#126×C61—21no—
250#126×C61—21no—
251#126×C61—21no—
252#126×C61—21no—
253#125×C61—21no—
254#125×C61—21no—
255#125×C61—21no—
256#125×C61—21no—
257#125×C61—21no—
258#125×C61—21no—
259#125×C61—21no—
260#125×C61—21no—
261#125×C61C2311yescharacteristic
262#125×C61C2311yescharacteristic
263#125×C61C2311yescharacteristic
264#125×C61C2311yescharacteristic
265#124×C61—21no—
266#124×C61—21no—
267#124×C61—21no—
268#124×C61—21no—
269#124×C61—21no—
270#124×C61—21no—
271#124×C61C2311yescharacteristic
272#124×C61C2311yescharacteristic
273#124×C61C2311yescharacteristic
274#124×C61C2311yescharacteristic
275#123×C61—21no—
276#123×C61—21no—
277#123×C61—21no—
278#123×C61—21no—
279#123×C61—21no—
280#123×C61—21no—
281#123×C61—21no—
282#123×C61—21no—
283#123×C61—21no—
284#123×C61—21no—
285#123×C61—21no—
286#123×C61—21no—
287#123×C61—21no—
288#123×C61—21no—
289#123×C61—21no—
290#123×C61—21no—
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×C61—21no—
304C22⋊Q8×C61—21no—
305C22⋊Q8×C61C2311yescharacteristic
306C22⋊Q8×C61C2311yescharacteristic
307C22⋊Q8×C61C2311yescharacteristic
308C22⋊Q8×C61C2311yescharacteristic
309C22⋊Q8×C61C2311yescharacteristic
310C22⋊Q8×C61C2311yescharacteristic
311C22⋊Q8×C61C2311yescharacteristic
312C22⋊Q8×C61C2311yescharacteristic
313#121×C61—21no—
314#121×C61—21no—
315#121×C61—21no—
316#121×C61—21no—
317#121×C61—21no—
318#121×C61—21no—
319#121×C61—21no—
320#121×C61—21no—
321#121×C61—21no—
322#121×C61—21no—
323#121×C61C2311yescharacteristic
324#121×C61C2311yescharacteristic
325#121×C61C2311yescharacteristic
326#121×C61C2311yescharacteristic
327#121×C61C2311yescharacteristic
328#121×C61C2311yescharacteristic
329#121×C61C2311yescharacteristic
330#121×C61C2311yescharacteristic
331#120×C61—21no—
332#120×C61—21no—
333#120×C61—21no—
334#120×C61—21no—
335C4×Q8×C61—21no—
336C4×Q8×C61—21no—
337C4×Q8×C61—21no—
338C4×Q8×C61—21no—
339C4×Q8×C61C2311yescharacteristic
340C4×Q8×C61C2311yescharacteristic
341C4×Q8×C61C2311yescharacteristic
342C4×Q8×C61C2311yescharacteristic
343C4×Q8×C61C2311yescharacteristic
344C4×Q8×C61C2311yescharacteristic
345C4×Q8×C61C2311yescharacteristic
346C4×Q8×C61C2311yescharacteristic
347C4×D4×C61—21no—
348C4×D4×C61—21no—
349C4×D4×C61—21no—
350C4×D4×C61—21no—
351C4×D4×C61—21no—
352C4×D4×C61—21no—
353C4×D4×C61—21no—
354C4×D4×C61—21no—
355C4×D4×C61—21no—
356C4×D4×C61—21no—
357C4×D4×C61—21no—
358C4×D4×C61—21no—
359C4×D4×C61—21no—
360C4×D4×C61—21no—
361C4×D4×C61—21no—
362C4×D4×C61—21no—
363C4×D4×C61C2311yescharacteristic
364C4×D4×C61C2311yescharacteristic
365C4×D4×C61C2311yescharacteristic
366C4×D4×C61C2311yescharacteristic
367C4×D4×C61C2311yescharacteristic
368C4×D4×C61C2311yescharacteristic
369C4×D4×C61C2311yescharacteristic
370C4×D4×C61C2311yescharacteristic
371#117×C61—21no—
372#117×C61—21no—
373#117×C61—21no—
374#117×C61—21no—
375#117×C61—21no—
376#117×C61—21no—
377#117×C61—21no—
378#117×C61—21no—
379#117×C61—21no—
380#117×C61—21no—
381#117×C61D411yescharacteristic
382#117×C61D411yescharacteristic
383#117×C61D411yescharacteristic
384#117×C61D411yescharacteristic
385#117×C61C2311yescharacteristic
386#117×C61C2311yescharacteristic
387#117×C61C2311yescharacteristic
388#117×C61C2311yescharacteristic
389#117×C61C2311yescharacteristic
390#117×C61C2311yescharacteristic
391C2×C4⋊C4×C61—21no—
392C2×C4⋊C4×C61—21no—
393C2×C4⋊C4×C61—21no—
394C2×C4⋊C4×C61D411yescharacteristic
395C2×C4⋊C4×C61D411yescharacteristic
396C2×C4⋊C4×C61C2311yescharacteristic
397C2×C4⋊C4×C61C2311yescharacteristic
398C2×C22⋊C4×C61—21no—
399C2×C22⋊C4×C61—21no—
400C2×C22⋊C4×C61—21no—
401C2×C22⋊C4×C61—21no—
402C2×C22⋊C4×C61D411yescharacteristic
403C2×C22⋊C4×C61D411yescharacteristic
404C2×C42×C61C2311yescharacteristic
405C2×C42×C61C2311yescharacteristic
406#107×C61C2311yescharacteristic
407#107×C61C2311yescharacteristic
408#107×C61C2311yescharacteristic
409#107×C61C2311yescharacteristic
410#107×C61C2311yescharacteristic
411#107×C61C2311yescharacteristic
412#107×C61C2311yescharacteristic
413#107×C61C2311yescharacteristic
414#107×C61C2311yescharacteristic
415#107×C61C2311yescharacteristic
416#106×C61C2311yescharacteristic
417#106×C61C2311yescharacteristic
418#106×C61C2311yescharacteristic
419#106×C61C2311yescharacteristic
420#106×C61C2311yescharacteristic
421#106×C61C2311yescharacteristic
422C4⋊C8×C61C2311yescharacteristic
423C4⋊C8×C61C2311yescharacteristic
424C4⋊C8×C61C2311yescharacteristic
425C4⋊C8×C61C2311yescharacteristic
426C4⋊C8×C61C2311yescharacteristic
427C4⋊C8×C61C2311yescharacteristic
428C4⋊C8×C61C2311yescharacteristic
429C4⋊C8×C61C2311yescharacteristic
430#103×C61C2311yescharacteristic
431#103×C61C2311yescharacteristic
432#103×C61C2311yescharacteristic
433#103×C61C2311yescharacteristic
434#103×C61C2311yescharacteristic
435#103×C61C2311yescharacteristic
436#103×C61C2311yescharacteristic
437#103×C61C2311yescharacteristic
438#103×C61C2311yescharacteristic
439#103×C61C2311yescharacteristic
440#103×C61C2311yescharacteristic
441#103×C61C2311yescharacteristic
442#103×C61C2311yescharacteristic
443#103×C61C2311yescharacteristic
444#103×C61C2311yescharacteristic
445#103×C61C2311yescharacteristic
446#102×C61C2311yescharacteristic
447#102×C61C2311yescharacteristic
448#102×C61C2311yescharacteristic
449#102×C61C2311yescharacteristic
450#102×C61C2311yescharacteristic
451#102×C61C2311yescharacteristic
452#102×C61C2311yescharacteristic
453#102×C61C2311yescharacteristic
454#102×C61C2311yescharacteristic
455#102×C61C2311yescharacteristic
456#102×C61C2311yescharacteristic
457#102×C61C2311yescharacteristic
458#102×C61C2311yescharacteristic
459#102×C61C2311yescharacteristic
460#102×C61C2311yescharacteristic
461#102×C61C2311yescharacteristic
462C22⋊C8×C61C2311yescharacteristic
463C22⋊C8×C61C2311yescharacteristic
464C22⋊C8×C61C2311yescharacteristic
465C22⋊C8×C61C2311yescharacteristic
466C22⋊C8×C61C2311yescharacteristic
467C22⋊C8×C61C2311yescharacteristic
468C22⋊C8×C61C2311yescharacteristic
469C22⋊C8×C61C2311yescharacteristic
470#97×C61C2311yescharacteristic
471#97×C61C2311yescharacteristic
472#97×C61C2311yescharacteristic
473#97×C61C2311yescharacteristic
474C4×C8×C61C2311yescharacteristic
475C4×C8×C61C2311yescharacteristic
476C4×C8×C61C2311yescharacteristic
477C4×C8×C61C2311yescharacteristic
478C24×C61—21no—
479C24×C61C2×D411yescharacteristic
480#41×C61—41no—
481#41×C61—41no—
482#41×C61—41no—
483#41×C61—41no—
484#41×C61—82no—
485#41×C61—82no—
486C2×Q8×C61—21no—
487C2×Q8×C61—21no—
488C2×Q8×C61—21no—
489C2×Q8×C61—21no—
490C2×Q8×C61—21no—
491C2×Q8×C61—41no—
492C2×Q8×C61—41no—
493C2×Q8×C61C2411yescharacteristic
494C2×Q8×C61C2411yescharacteristic
495C2×Q8×C61C2411yescharacteristic
496C2×Q8×C61C2411yescharacteristic
497C2×D4×C61—21no—
498C2×D4×C61—21no—
499C2×D4×C61—21no—
500C2×D4×C61—21no—
501C2×D4×C61—21no—
502C2×D4×C61—21no—
503C2×D4×C61—21no—
504C2×D4×C61—21no—
505C2×D4×C61—21no—
506C2×D4×C61—21no—
507C2×D4×C61—21no—
508C2×D4×C61—21no—
509C2×D4×C61—21no—
510C2×D4×C61—21no—
511C2×D4×C61—21no—
512C2×D4×C61—41no—
513C2×D4×C61—41no—
514C2×D4×C61—82no—
515C2×D4×C61C2411yescharacteristic
516C2×D4×C61C2411yescharacteristic
517C2×D4×C61C2411yescharacteristic
518C2×D4×C61C2411yescharacteristic
519C22×C4×C61—21no—
520C22×C4×C61—21no—
521C22×C4×C61—21no—
522C22×C4×C61—21no—
523C22×C4×C61—21no—
524C22×C4×C61—21no—
525C22×C4×C61—21no—
526C22×C4×C61—21no—
527C22×C4×C61—21no—
528C22×C4×C61—21no—
529C22×C4×C61—21no—
530C22×C4×C61—21no—
531C22×C4×C61—21no—
532C22×C4×C61—41no—
533C22×C4×C61—41no—
534C22×C4×C61C2×D411yescharacteristic
535C22×C4×C61C2×D411yescharacteristic
536C22×C4×C61C2×D411yescharacteristic
537C22×C4×C61C2×D411yescharacteristic
538C22×C4×C61C2×D411yescharacteristic
539C22×C4×C61C2×D411yescharacteristic
540C22×C4×C61C2×D411yescharacteristic
541C22×C4×C61C2411yescharacteristic
542C22×C4×C61C2411yescharacteristic
543C22×C4×C61C2411yescharacteristic
544Q16×C61—41no—
545Q16×C61—41no—
546Q16×C61—41no—
547SD16×C61—41no—
548SD16×C61—41no—
549SD16×C61—41no—
550SD16×C61—41no—
551SD16×C61—41no—
552SD16×C61—41no—
553SD16×C61—41no—
554SD16×C61—41no—
555SD16×C61—41no—
556SD16×C61—41no—
557D8×C61—41no—
558D8×C61—41no—
559D8×C61—41no—
560M16×C61—41no—
561M16×C61—41no—
562M16×C61—41no—
563M16×C61—41no—
564C2×C8×C61C2411yescharacteristic
565C2×C8×C61C2411yescharacteristic
566C2×C8×C61C2411yescharacteristic
567C2×C8×C61C2411yescharacteristic
568C2×C8×C61C2411yescharacteristic
569C2×C8×C61C2411yescharacteristic
570C2×C8×C61C2411yescharacteristic
571C2×C8×C61C2411yescharacteristic
572C4⋊C4×C61—21no—
573C4⋊C4×C61—21no—
574C4⋊C4×C61—21no—
575C4⋊C4×C61—21no—
576C4⋊C4×C61—21no—
577C4⋊C4×C61—21no—
578C4⋊C4×C61—21no—
579C4⋊C4×C61—21no—
580C4⋊C4×C61—21no—
581C4⋊C4×C61—21no—
582C4⋊C4×C61—21no—
583C4⋊C4×C61—21no—
584C4⋊C4×C61—21no—
585C4⋊C4×C61—21no—
586C4⋊C4×C61—21no—
587C4⋊C4×C61—21no—
588C4⋊C4×C61—21no—
589C4⋊C4×C61—21no—
590C4⋊C4×C61—21no—
591C4⋊C4×C61—21no—
592C4⋊C4×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×C61C2×D411yescharacteristic
607C4⋊C4×C61C2×D411yescharacteristic
608C4⋊C4×C61C2×D411yescharacteristic
609C4⋊C4×C61C2×D411yescharacteristic
610C4⋊C4×C61C2×D411yescharacteristic
611C4⋊C4×C61C2×D411yescharacteristic
612C4⋊C4×C61C2×D411yescharacteristic
613C4⋊C4×C61C2×D411yescharacteristic
614C4⋊C4×C61C2411yescharacteristic
615C4⋊C4×C61C2411yescharacteristic
616C4⋊C4×C61C2411yescharacteristic
617C4⋊C4×C61C2411yescharacteristic
618C4⋊C4×C61C2411yescharacteristic
619C4⋊C4×C61C2411yescharacteristic
620C4⋊C4×C61C2411yescharacteristic
621C4⋊C4×C61C2411yescharacteristic
622C22⋊C4×C61—21no—
623C22⋊C4×C61—21no—
624C22⋊C4×C61—21no—
625C22⋊C4×C61—21no—
626C22⋊C4×C61—21no—
627C22⋊C4×C61—21no—
628C22⋊C4×C61—21no—
629C22⋊C4×C61—21no—
630C22⋊C4×C61—21no—
631C22⋊C4×C61—21no—
632C22⋊C4×C61—21no—
633C22⋊C4×C61—21no—
634C22⋊C4×C61—21no—
635C22⋊C4×C61—21no—
636C22⋊C4×C61—21no—
637C22⋊C4×C61—21no—
638C22⋊C4×C61—21no—
639C22⋊C4×C61—21no—
640C22⋊C4×C61—21no—
641C22⋊C4×C61—21no—
642C22⋊C4×C61—21no—
643C22⋊C4×C61—21no—
644C22⋊C4×C61—21no—
645C22⋊C4×C61—21no—
646C22⋊C4×C61—21no—
647C22⋊C4×C61—21no—
648C22⋊C4×C61—21no—
649C22⋊C4×C61—21no—
650C22⋊C4×C61—21no—
651C22⋊C4×C61—21no—
652C22⋊C4×C61—21no—
653C22⋊C4×C61—21no—
654C22⋊C4×C61—21no—
655C22⋊C4×C61—21no—
656C22⋊C4×C61C2×D411yescharacteristic
657C22⋊C4×C61C2×D411yescharacteristic
658C22⋊C4×C61C2×D411yescharacteristic
659C22⋊C4×C61C2×D411yescharacteristic
660C22⋊C4×C61C2×D411yescharacteristic
661C22⋊C4×C61C2×D411yescharacteristic
662C22⋊C4×C61C2×D411yescharacteristic
663C22⋊C4×C61C2×D411yescharacteristic
664C42×C61—21no—
665C42×C61—21no—
666C42×C61—21no—
667C42×C61—21no—
668C42×C61—21no—
669C42×C61—21no—
670C42×C61—21no—
671C42×C61—21no—
672C42×C61—21no—
673C42×C61—21no—
674C42×C61C2×D411yescharacteristic
675C42×C61C2×D411yescharacteristic
676C42×C61C2×D411yescharacteristic
677C42×C61C2×D411yescharacteristic
678C42×C61C2411yescharacteristic
679C42×C61C2411yescharacteristic
680C42×C61C2411yescharacteristic
681C42×C61C2411yescharacteristic
682C23×C61—21no—
683C23×C61—21no—
684C23×C61—21no—
685C23×C61—21no—
686C23×C61—41no—
687C23×C61—41no—
688C23×C61—41no—
689C23×C61—42no—
690C23×C61—81no—
691C23×C61—81no—
692C23×C61C22×D411yescharacteristic
693C23×C61C22×D411yescharacteristic
694C23×C61C22×D411yescharacteristic
695Q8×C61—21no—
696Q8×C61—21no—
697Q8×C61—21no—
698Q8×C61—21no—
699Q8×C61—21no—
700Q8×C61—21no—
701Q8×C61—21no—
702Q8×C61—21no—
703Q8×C61—42no—
704Q8×C61—81no—
705Q8×C61—81no—
706Q8×C61—81no—
707Q8×C61—81no—
708D4×C61—21no—
709D4×C61—21no—
710D4×C61—21no—
711D4×C61—21no—
712D4×C61—21no—
713D4×C61—21no—
714D4×C61—21no—
715D4×C61—21no—
716D4×C61—42no—
717D4×C61—42no—
718D4×C61—42no—
719D4×C61—42no—
720D4×C61—42no—
721D4×C61—42no—
722D4×C61—42no—
723D4×C61—81no—
724D4×C61—81no—
725D4×C61—81no—
726D4×C61—81no—
727D4×C61—81no—
728D4×C61—81no—
729D4×C61—81no—
730D4×C61—81no—
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—41no—
750C2×C4×C61—41no—
751C2×C4×C61—41no—
752C2×C4×C61—41no—
753C2×C4×C61—41no—
754C2×C4×C61—41no—
755C2×C4×C61—41no—
756C2×C4×C61—42no—
757C2×C4×C61—42no—
758C2×C4×C61—42no—
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×C61C22×D411yescharacteristic
770C2×C4×C61C22×D411yescharacteristic
771C2×C4×C61C22×D411yescharacteristic
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×C61C2511yescharacteristic
781C8×C61—21no—
782C8×C61—21no—
783C8×C61—21no—
784C8×C61—21no—
785C8×C61—21no—
786C8×C61—21no—
787C8×C61—21no—
788C8×C61—21no—
789#61004C6111yesmaximal, characteristic, direct product factor, Sylow
790C22×C61—21no—
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—41no—
800C22×C61—41no—
801C22×C61—41no—
802C22×C61—41no—
803C22×C61—41no—
804C22×C61—41no—
805C22×C61—41no—
806C22×C61—41no—
807C22×C61—41no—
808C22×C61—41no—
809C22×C61—41no—
810C22×C61—41no—
811C22×C61—82no—
812C22×C61—162no—
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—21no—
824C4×C61—21no—
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#3495C2×C6111yescharacteristic, complemented
840#3494C2×C6111yescharacteristic, complemented
841#3256C2×C6111yescharacteristic, complemented
842#3254C2×C6111yescharacteristic, complemented
843#3252C2×C6111yescharacteristic, complemented
844#3251C2×C6111yescharacteristic, complemented
845#3243C2×C6111yescharacteristic, complemented
846#3243C2×C6111yescharacteristic, complemented
847#3242C2×C6111yescharacteristic, complemented
848#3241C2×C6111yescharacteristic, complemented
849#3225C2×C6111yescharacteristic, complemented
850#3224C2×C6111yescharacteristic, complemented
851#3222C2×C6111yescharacteristic, complemented
852#3221C2×C6111yescharacteristic, complemented
853#3197C2×C6111yescharacteristic, complemented
854#3196C2×C6111yescharacteristic, complemented
855#3194C2×C6111yescharacteristic, complemented
856#3193C2×C6111yescharacteristic, complemented
857#3183C2×C6111yescharacteristic, complemented
858#3182C2×C6111yescharacteristic, complemented
859#3172C2×C6111yescharacteristic, complemented
860#3171C2×C6111yescharacteristic, complemented
861#3126C2×C6111yescharacteristic, complemented
862#3124C2×C6111yescharacteristic, complemented
863#3124C2×C6111yescharacteristic, complemented
864#3123C2×C6111yescharacteristic, complemented
865#3121C2×C6111yescharacteristic, complemented
866#3120C2×C6111yescharacteristic, complemented
867#3119C2×C6111yescharacteristic, complemented
868#3118C2×C6111yescharacteristic, complemented
869#2921C2×C6111yescharacteristic, complemented
870C2×C61—41no—
871C2×C61—41no—
872C2×C61—41no—
873C2×C61—81no—
874C2×C61—81no—
875C2×C61—81no—
876C2×C61—81no—
877C2×C61#344911yescharacteristic
878C2×C61#358511yescharacteristic
879C2×C61#358611yescharacteristic
880#556—21no—
881#555—21no—
882#554—21no—
883#553—21no—
884#553—21no—
885#552—21no—
886#552—21no—
887#552—21no—
888#552—21no—
889#551—21no—
890#551—21no—
891#551—21no—
892#551—21no—
893#547—21no—
894#546—21no—
895#546—21no—
896#544C22×C6111yescharacteristic
897#544C22×C6111yescharacteristic, complemented
898#542C22×C6111yescharacteristic
899#542C22×C6111yescharacteristic
900#542C22×C6111yescharacteristic
901#542C22×C6111yescharacteristic
902#541C22×C6111yescharacteristic
903#541C22×C6111yescharacteristic
904#540C22×C6111yescharacteristic
905#540C22×C6111yescharacteristic
906#536C22×C6111yescharacteristic, complemented
907#535C22×C6111yescharacteristic
908#533C22×C6111yescharacteristic, complemented
909#533C22×C6111yescharacteristic, complemented
910#532C22×C6111yescharacteristic
911#532C22×C6111yescharacteristic
912#529C22×C6111yescharacteristic
913#529C22×C6111yescharacteristic
914#529C22×C6111yescharacteristic, complemented
915#529C22×C6111yescharacteristic, complemented
916#525C22×C6111yescharacteristic
917#525C22×C6111yescharacteristic
918C2×C22⋊Q8C22×C6111yescharacteristic
919C2×#121C22×C6111yescharacteristic
920#520C22×C6111yescharacteristic
921#520C22×C6111yescharacteristic, complemented
922#519C22×C6111yescharacteristic, complemented
923#518C22×C6111yescharacteristic
924C2×#117C22×C6111yescharacteristic
925#501C22×C6111yescharacteristic, complemented
926#501C22×C6111yescharacteristic, complemented
927#500C22×C6111yescharacteristic, complemented
928#499C22×C6111yescharacteristic, complemented
929#497C22×C6111yescharacteristic, complemented
930#496C22×C6111yescharacteristic, complemented
931#495C22×C6111yescharacteristic, complemented
932#492C22×C6111yescharacteristic, complemented
933#491C22×C6111yescharacteristic, complemented
934#490C22×C6111yescharacteristic, complemented
935#489C22×C6111yescharacteristic, complemented
936#489C22×C6111yescharacteristic, complemented
937#488C22×C6111yescharacteristic, complemented
938#488C22×C6111yescharacteristic, complemented
939#487C22×C6111yescharacteristic, complemented
940#486C22×C6111yescharacteristic, complemented
941#485C22×C6111yescharacteristic
942#485C22×C6111yescharacteristic
943#485C22×C6111yescharacteristic
944#485C22×C6111yescharacteristic, complemented
945#484C22×C6111yescharacteristic
946#484C22×C6111yescharacteristic
947#484C22×C6111yescharacteristic, complemented
948#483C22×C6111yescharacteristic
949#482C22×C6111yescharacteristic
950#482C22×C6111yescharacteristic
951#482C22×C6111yescharacteristic
952#482C22×C6111yescharacteristic, complemented
953#481C22×C6111yescharacteristic, complemented
954#480C22×C6111yescharacteristic
955#480C22×C6111yescharacteristic
956#480C22×C6111yescharacteristic
957#479C22×C6111yescharacteristic, complemented
958#479C22×C6111yescharacteristic, complemented
959#479C22×C6111yescharacteristic, complemented
960#479C22×C6111yescharacteristic, complemented
961#478C22×C6111yescharacteristic, complemented
962#478C22×C6111yescharacteristic, complemented
963#478C22×C6111yescharacteristic, complemented
964#478C22×C6111yescharacteristic, complemented
965#477C22×C6111yescharacteristic, complemented
966#477C22×C6111yescharacteristic, complemented
967#477C22×C6111yescharacteristic, complemented
968#476C22×C6111yescharacteristic, complemented
969#475C22×C6111yescharacteristic, complemented
970#474C22×C6111yescharacteristic, complemented
971#474C22×C6111yescharacteristic, complemented
972#474C22×C6111yescharacteristic, complemented
973#470C22×C6111yescharacteristic, complemented
974#470C22×C6111yescharacteristic, complemented
975#470C22×C6111yescharacteristic, complemented
976#469C22×C6111yescharacteristic
977#469C22×C6111yescharacteristic
978#469C22×C6111yescharacteristic, complemented
979#468C22×C6111yescharacteristic
980#468C22×C6111yescharacteristic
981#468C22×C6111yescharacteristic
982#468C22×C6111yescharacteristic
983#468C22×C6111yescharacteristic
984#468C22×C6111yescharacteristic
985#468C22×C6111yescharacteristic, complemented
986#468C22×C6111yescharacteristic, complemented
987#468C22×C6111yescharacteristic, complemented
988#468C22×C6111yescharacteristic, complemented
989#464C22×C6111yescharacteristic, complemented
990#464C22×C6111yescharacteristic, complemented
991#464C22×C6111yescharacteristic, complemented
992#464C22×C6111yescharacteristic, complemented
993#463C22×C6111yescharacteristic, complemented
994#463C22×C6111yescharacteristic, complemented
995#463C22×C6111yescharacteristic, complemented
996#463C22×C6111yescharacteristic, complemented
997#462C22×C6111yescharacteristic, complemented
998#461C22×C6111yescharacteristic, complemented
999#461C22×C6111yescharacteristic, complemented
1000#461C22×C6111yescharacteristic, complemented
1001#460C22×C6111yescharacteristic, complemented
1002#460C22×C6111yescharacteristic, complemented
1003#460C22×C6111yescharacteristic, complemented
1004#459C22×C6111yescharacteristic, complemented
1005#452C22×C6111yescharacteristic
1006#452C22×C6111yescharacteristic
1007#452C22×C6111yescharacteristic
1008#452C22×C6111yescharacteristic, complemented
1009#451C22×C6111yescharacteristic, complemented
1010#450C22×C6111yescharacteristic
1011#450C22×C6111yescharacteristic
1012#450C22×C6111yescharacteristic
1013#449C22×C6111yescharacteristic
1014#449C22×C6111yescharacteristic
1015#449C22×C6111yescharacteristic
1016#449C22×C6111yescharacteristic, complemented
1017#448C22×C6111yescharacteristic
1018#448C22×C6111yescharacteristic
1019#448C22×C6111yescharacteristic, complemented
1020#447C22×C6111yescharacteristic
1021#442C22×C6111yescharacteristic, complemented
1022#441C22×C6111yescharacteristic, complemented
1023#440C22×C6111yescharacteristic, complemented
1024#440C22×C6111yescharacteristic, complemented
1025#440C22×C6111yescharacteristic, complemented
1026#440C22×C6111yescharacteristic, complemented
1027#440C22×C6111yescharacteristic, complemented
1028#440C22×C6111yescharacteristic, complemented
1029C4×Q16C22×C6111yescharacteristic, complemented
1030C4×Q16C22×C6111yescharacteristic, complemented
1031C4×SD16C22×C6111yescharacteristic, complemented
1032C4×SD16C22×C6111yescharacteristic, complemented
1033C4×SD16C22×C6111yescharacteristic, complemented
1034C4×SD16C22×C6111yescharacteristic, complemented
1035C4×D8C22×C6111yescharacteristic, complemented
1036C4×D8C22×C6111yescharacteristic, complemented
1037#433C22×C6111yescharacteristic
1038#433C22×C6111yescharacteristic
1039#433C22×C6111yescharacteristic
1040#433C22×C6111yescharacteristic
1041#433C22×C6111yescharacteristic, complemented
1042#433C22×C6111yescharacteristic, complemented
1043#433C22×C6111yescharacteristic, complemented
1044#433C22×C6111yescharacteristic, complemented
1045#423C22×C6111yescharacteristic, complemented
1046#423C22×C6111yescharacteristic, complemented
1047#407C22×C6111yescharacteristic
1048#407C22×C6111yescharacteristic
1049C4×M16C22×C6111yescharacteristic, complemented
1050C4×M16C22×C6111yescharacteristic, complemented
1051C61#6100411yescharacteristic, direct product factor, Sylow
1052C2×#41—21no—
1053C2×#41—21no—
1054C2×#41C23×C6111yescharacteristic
1055C2×#41C23×C6111yescharacteristic
1056C22×Q8C23×C6111yescharacteristic
1057C22×D4—21no—
1058C22×D4C23×C6111yescharacteristic
1059C23×C4C23×C6111yescharacteristic
1060C2×Q16C23×C6111yescharacteristic
1061C2×Q16C23×C6111yescharacteristic
1062C2×Q16C23×C6111yescharacteristic
1063C2×SD16C23×C6111yescharacteristic
1064C2×SD16C23×C6111yescharacteristic
1065C2×SD16C23×C6111yescharacteristic
1066C2×SD16C23×C6111yescharacteristic
1067C2×SD16C23×C6111yescharacteristic
1068C2×SD16C23×C6111yescharacteristic
1069C2×SD16C23×C6111yescharacteristic
1070C2×SD16C23×C6111yescharacteristic
1071C2×SD16C23×C6111yescharacteristic
1072C2×SD16C23×C6111yescharacteristic
1073C2×D8C23×C6111yescharacteristic
1074C2×D8C23×C6111yescharacteristic
1075C2×D8C23×C6111yescharacteristic
1076C2×M16C23×C6111yescharacteristic
1077C2×M16C23×C6111yescharacteristic
1078C2×M16C23×C6111yescharacteristic
1079C2×M16C23×C6111yescharacteristic
1080C4⋊Q8—21no—
1081C4⋊Q8—21no—
1082C4⋊Q8C23×C6111yescharacteristic
1083C4⋊Q8C23×C6111yescharacteristic
1084C4⋊Q8C23×C6111yescharacteristic
1085C4⋊Q8C23×C6111yescharacteristic
1086C4⋊Q8C23×C6111yescharacteristic
1087C4⋊Q8C23×C6111yescharacteristic
1088#127C23×C6111yescharacteristic
1089#127C23×C6111yescharacteristic
1090#126—21no—
1091#126—21no—
1092#126—21no—
1093#126—21no—
1094#126—21no—
1095#126—21no—
1096#126—21no—
1097#126—21no—
1098#126—21no—
1099#126—21no—
1100#126—21no—
1101#126—21no—
1102#125—21no—
1103#125—21no—
1104#125—21no—
1105#125—21no—
1106#125—21no—
1107#125—21no—
1108#125—21no—
1109#125—21no—
1110#125C23×C6111yescharacteristic
1111#125C23×C6111yescharacteristic
1112#125C23×C6111yescharacteristic
1113#125C23×C6111yescharacteristic
1114#124—21no—
1115#124—21no—
1116#124—21no—
1117#124—21no—
1118#124—21no—
1119#124—21no—
1120#124C23×C6111yescharacteristic
1121#124C23×C6111yescharacteristic
1122#124C23×C6111yescharacteristic
1123#124C23×C6111yescharacteristic
1124#123—21no—
1125#123—21no—
1126#123—21no—
1127#123—21no—
1128#123—21no—
1129#123—21no—
1130#123—21no—
1131#123—21no—
1132#123—21no—
1133#123—21no—
1134#123—21no—
1135#123—21no—
1136#123—21no—
1137#123—21no—
1138#123—21no—
1139#123—21no—
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⋊Q8—21no—
1153C22⋊Q8—21no—
1154C22⋊Q8C23×C6111yescharacteristic
1155C22⋊Q8C23×C6111yescharacteristic
1156C22⋊Q8C23×C6111yescharacteristic
1157C22⋊Q8C23×C6111yescharacteristic
1158C22⋊Q8C23×C6111yescharacteristic
1159C22⋊Q8C23×C6111yescharacteristic
1160C22⋊Q8C23×C6111yescharacteristic
1161C22⋊Q8C23×C6111yescharacteristic
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#121C23×C6111yescharacteristic
1173#121C23×C6111yescharacteristic
1174#121C23×C6111yescharacteristic
1175#121C23×C6111yescharacteristic
1176#121C23×C6111yescharacteristic
1177#121C23×C6111yescharacteristic
1178#121C23×C6111yescharacteristic
1179#121C23×C6111yescharacteristic
1180#120—21no—
1181#120—21no—
1182#120—21no—
1183#120—21no—
1184C4×Q8—21no—
1185C4×Q8—21no—
1186C4×Q8—21no—
1187C4×Q8—21no—
1188C4×Q8C23×C6111yescharacteristic
1189C4×Q8C23×C6111yescharacteristic
1190C4×Q8C23×C6111yescharacteristic
1191C4×Q8C23×C6111yescharacteristic
1192C4×Q8C23×C6111yescharacteristic
1193C4×Q8C23×C6111yescharacteristic
1194C4×Q8C23×C6111yescharacteristic
1195C4×Q8C23×C6111yescharacteristic
1196C4×D4—21no—
1197C4×D4—21no—
1198C4×D4—21no—
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×D4C23×C6111yescharacteristic
1213C4×D4C23×C6111yescharacteristic
1214C4×D4C23×C6111yescharacteristic
1215C4×D4C23×C6111yescharacteristic
1216C4×D4C23×C6111yescharacteristic
1217C4×D4C23×C6111yescharacteristic
1218C4×D4C23×C6111yescharacteristic
1219C4×D4C23×C6111yescharacteristic
1220#117—21no—
1221#117—21no—
1222#117—21no—
1223#117—21no—
1224#117—21no—
1225#117—21no—
1226#117—21no—
1227#117—21no—
1228#117—21no—
1229#117—21no—
1230#117D4×C6111yescharacteristic
1231#117D4×C6111yescharacteristic
1232#117D4×C6111yescharacteristic
1233#117D4×C6111yescharacteristic
1234#117C23×C6111yescharacteristic
1235#117C23×C6111yescharacteristic
1236#117C23×C6111yescharacteristic
1237#117C23×C6111yescharacteristic
1238#117C23×C6111yescharacteristic
1239#117C23×C6111yescharacteristic
1240C2×C4⋊C4—21no—
1241C2×C4⋊C4—21no—
1242C2×C4⋊C4—21no—
1243C2×C4⋊C4D4×C6111yescharacteristic
1244C2×C4⋊C4D4×C6111yescharacteristic
1245C2×C4⋊C4C23×C6111yescharacteristic
1246C2×C4⋊C4C23×C6111yescharacteristic
1247C2×C22⋊C4—21no—
1248C2×C22⋊C4—21no—
1249C2×C22⋊C4—21no—
1250C2×C22⋊C4—21no—
1251C2×C22⋊C4D4×C6111yescharacteristic
1252C2×C22⋊C4D4×C6111yescharacteristic
1253C2×C42C23×C6111yescharacteristic
1254C2×C42C23×C6111yescharacteristic
1255#107C23×C6111yescharacteristic
1256#107C23×C6111yescharacteristic
1257#107C23×C6111yescharacteristic
1258#107C23×C6111yescharacteristic
1259#107C23×C6111yescharacteristic
1260#107C23×C6111yescharacteristic
1261#107C23×C6111yescharacteristic
1262#107C23×C6111yescharacteristic
1263#107C23×C6111yescharacteristic
1264#107C23×C6111yescharacteristic
1265#106C23×C6111yescharacteristic
1266#106C23×C6111yescharacteristic
1267#106C23×C6111yescharacteristic
1268#106C23×C6111yescharacteristic
1269#106C23×C6111yescharacteristic
1270#106C23×C6111yescharacteristic
1271C4⋊C8C23×C6111yescharacteristic
1272C4⋊C8C23×C6111yescharacteristic
1273C4⋊C8C23×C6111yescharacteristic
1274C4⋊C8C23×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#102C23×C6111yescharacteristic
1296#102C23×C6111yescharacteristic
1297#102C23×C6111yescharacteristic
1298#102C23×C6111yescharacteristic
1299#102C23×C6111yescharacteristic
1300#102C23×C6111yescharacteristic
1301#102C23×C6111yescharacteristic
1302#102C23×C6111yescharacteristic
1303#102C23×C6111yescharacteristic
1304#102C23×C6111yescharacteristic
1305#102C23×C6111yescharacteristic
1306#102C23×C6111yescharacteristic
1307#102C23×C6111yescharacteristic
1308#102C23×C6111yescharacteristic
1309#102C23×C6111yescharacteristic
1310#102C23×C6111yescharacteristic
1311C22⋊C8C23×C6111yescharacteristic
1312C22⋊C8C23×C6111yescharacteristic
1313C22⋊C8C23×C6111yescharacteristic
1314C22⋊C8C23×C6111yescharacteristic
1315C22⋊C8C23×C6111yescharacteristic
1316C22⋊C8C23×C6111yescharacteristic
1317C22⋊C8C23×C6111yescharacteristic
1318C22⋊C8C23×C6111yescharacteristic
1319#97C23×C6111yescharacteristic
1320#97C23×C6111yescharacteristic
1321#97C23×C6111yescharacteristic
1322#97C23×C6111yescharacteristic
1323C4×C8C23×C6111yescharacteristic
1324C4×C8C23×C6111yescharacteristic
1325C4×C8C23×C6111yescharacteristic
1326C4×C8C23×C6111yescharacteristic
1327C24—21no—
1328C24C2×D4×C6111yescharacteristic
1329#41—41no—
1330#41—41no—
1331#41—41no—
1332#41—41no—
1333#41—82no—
1334#41—82no—
1335C2×Q8—21no—
1336C2×Q8—21no—
1337C2×Q8—21no—
1338C2×Q8—21no—
1339C2×Q8—21no—
1340C2×Q8—41no—
1341C2×Q8—41no—
1342C2×Q8C24×C6111yescharacteristic
1343C2×Q8C24×C6111yescharacteristic
1344C2×Q8C24×C6111yescharacteristic
1345C2×Q8C24×C6111yescharacteristic
1346C2×D4—21no—
1347C2×D4—21no—
1348C2×D4—21no—
1349C2×D4—21no—
1350C2×D4—21no—
1351C2×D4—21no—
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—41no—
1362C2×D4—41no—
1363C2×D4—82no—
1364C2×D4C24×C6111yescharacteristic
1365C2×D4C24×C6111yescharacteristic
1366C2×D4C24×C6111yescharacteristic
1367C2×D4C24×C6111yescharacteristic
1368C22×C4—21no—
1369C22×C4—21no—
1370C22×C4—21no—
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—41no—
1382C22×C4—41no—
1383C22×C4C2×D4×C6111yescharacteristic
1384C22×C4C2×D4×C6111yescharacteristic
1385C22×C4C2×D4×C6111yescharacteristic
1386C22×C4C2×D4×C6111yescharacteristic
1387C22×C4C2×D4×C6111yescharacteristic
1388C22×C4C2×D4×C6111yescharacteristic
1389C22×C4C2×D4×C6111yescharacteristic
1390C22×C4C24×C6111yescharacteristic
1391C22×C4C24×C6111yescharacteristic
1392C22×C4C24×C6111yescharacteristic
1393Q16—41no—
1394Q16—41no—
1395Q16—41no—
1396SD16—41no—
1397SD16—41no—
1398SD16—41no—
1399SD16—41no—
1400SD16—41no—
1401SD16—41no—
1402SD16—41no—
1403SD16—41no—
1404SD16—41no—
1405SD16—41no—
1406D8—41no—
1407D8—41no—
1408D8—41no—
1409M16—41no—
1410M16—41no—
1411M16—41no—
1412M16—41no—
1413C2×C8C24×C6111yescharacteristic
1414C2×C8C24×C6111yescharacteristic
1415C2×C8C24×C6111yescharacteristic
1416C2×C8C24×C6111yescharacteristic
1417C2×C8C24×C6111yescharacteristic
1418C2×C8C24×C6111yescharacteristic
1419C2×C8C24×C6111yescharacteristic
1420C2×C8C24×C6111yescharacteristic
1421C4⋊C4—21no—
1422C4⋊C4—21no—
1423C4⋊C4—21no—
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⋊C4C2×D4×C6111yescharacteristic
1456C4⋊C4C2×D4×C6111yescharacteristic
1457C4⋊C4C2×D4×C6111yescharacteristic
1458C4⋊C4C2×D4×C6111yescharacteristic
1459C4⋊C4C2×D4×C6111yescharacteristic
1460C4⋊C4C2×D4×C6111yescharacteristic
1461C4⋊C4C2×D4×C6111yescharacteristic
1462C4⋊C4C2×D4×C6111yescharacteristic
1463C4⋊C4C24×C6111yescharacteristic
1464C4⋊C4C24×C6111yescharacteristic
1465C4⋊C4C24×C6111yescharacteristic
1466C4⋊C4C24×C6111yescharacteristic
1467C4⋊C4C24×C6111yescharacteristic
1468C4⋊C4C24×C6111yescharacteristic
1469C4⋊C4C24×C6111yescharacteristic
1470C4⋊C4C24×C6111yescharacteristic
1471C22⋊C4—21no—
1472C22⋊C4—21no—
1473C22⋊C4—21no—
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—21no—
1477C22⋊C4—21no—
1478C22⋊C4—21no—
1479C22⋊C4—21no—
1480C22⋊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⋊C4C2×D4×C6111yescharacteristic
1506C22⋊C4C2×D4×C6111yescharacteristic
1507C22⋊C4C2×D4×C6111yescharacteristic
1508C22⋊C4C2×D4×C6111yescharacteristic
1509C22⋊C4C2×D4×C6111yescharacteristic
1510C22⋊C4C2×D4×C6111yescharacteristic
1511C22⋊C4C2×D4×C6111yescharacteristic
1512C22⋊C4C2×D4×C6111yescharacteristic
1513C42—21no—
1514C42—21no—
1515C42—21no—
1516C42—21no—
1517C42—21no—
1518C42—21no—
1519C42—21no—
1520C42—21no—
1521C42—21no—
1522C42—21no—
1523C42C2×D4×C6111yescharacteristic
1524C42C2×D4×C6111yescharacteristic
1525C42C2×D4×C6111yescharacteristic
1526C42C2×D4×C6111yescharacteristic
1527C42C24×C6111yescharacteristic
1528C42C24×C6111yescharacteristic
1529C42C24×C6111yescharacteristic
1530C42C24×C6111yescharacteristic
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—21no—
1535C23—41no—
1536C23—41no—
1537C23—41no—
1538C23—42no—
1539C23—81no—
1540C23—81no—
1541C23C22×D4×C6111yescharacteristic
1542C23C22×D4×C6111yescharacteristic
1543C23C22×D4×C6111yescharacteristic
1544Q8—21no—
1545Q8—21no—
1546Q8—21no—
1547Q8—21no—
1548Q8—21no—
1549Q8—21no—
1550Q8—21no—
1551Q8—21no—
1552Q8—42no—
1553Q8—81no—
1554Q8—81no—
1555Q8—81no—
1556Q8—81no—
1557D4—21no—
1558D4—21no—
1559D4—21no—
1560D4—21no—
1561D4—21no—
1562D4—21no—
1563D4—21no—
1564D4—21no—
1565D4—42no—
1566D4—42no—
1567D4—42no—
1568D4—42no—
1569D4—42no—
1570D4—42no—
1571D4—42no—
1572D4—81no—
1573D4—81no—
1574D4—81no—
1575D4—81no—
1576D4—81no—
1577D4—81no—
1578D4—81no—
1579D4—81no—
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—41no—
1599C2×C4—41no—
1600C2×C4—41no—
1601C2×C4—41no—
1602C2×C4—41no—
1603C2×C4—41no—
1604C2×C4—41no—
1605C2×C4—42no—
1606C2×C4—42no—
1607C2×C4—42no—
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×C4C22×D4×C6111yescharacteristic
1619C2×C4C22×D4×C6111yescharacteristic
1620C2×C4C22×D4×C6111yescharacteristic
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×C4C25×C6111yescharacteristic
1630C8—21no—
1631C8—21no—
1632C8—21no—
1633C8—21no—
1634C8—21no—
1635C8—21no—
1636C8—21no—
1637C8—21no—
1638C22—21no—
1639C22—21no—
1640C22—21no—
1641C22—21no—
1642C22—21no—
1643C22—21no—
1644C22—21no—
1645C22—21no—
1646C22—21no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—41no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—82no—
1660C22—162no—
1661C22C23×D4×C6111yescharacteristic
1662C4—21no—
1663C4—21no—
1664C4—21no—
1665C4—21no—
1666C4—21no—
1667C4—21no—
1668C4—21no—
1669C4—21no—
1670C4—21no—
1671C4—21no—
1672C4—21no—
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—41no—
1688C2—41no—
1689C2—41no—
1690C2—81no—
1691C2—81no—
1692C2—81no—
1693C2—81no—
1694C2C61×#344911yescharacteristic
1695C2C61×#358511yescharacteristic
1696C2C61×#358611yescharacteristic
subgroupG/H
center, socleC22×C61C23×D4
commutator, Frattini, cosocleC2×C4C25×C61
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C61 ◁ C2×#117×C61 ◁ G

Complements

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

NH ≅ G/Ntype
1. C61×#3495C2semidirect
2. C61×#3494C2semidirect
3. C61×#3256C2semidirect
4. C61×#3254C2semidirect
5. C61×#3252C2semidirect
6. C61×#3251C2semidirect
7. C61×#3243C2semidirect
8. C61×#3243C2semidirect
9. C61×#3242C2semidirect
10. C61×#3241C2semidirect
11. C61×#3225C2semidirect
12. C61×#3224C2semidirect
13. C61×#3222C2semidirect
14. C61×#3221C2semidirect
15. C61×#3197C2semidirect
16. C61×#3196C2semidirect
17. C61×#3194C2semidirect
18. C61×#3193C2semidirect
19. C61×#3183C2semidirect
20. C61×#3182C2semidirect
21. C61×#3172C2semidirect
22. C61×#3171C2semidirect
23. C61×#3126C2semidirect
24. C61×#3124C2semidirect
25. C61×#3124C2semidirect
26. C61×#3123C2semidirect
27. C61×#3121C2semidirect
28. C61×#3120C2semidirect
29. C61×#3119C2semidirect
30. C61×#3118C2semidirect
31. C61×#2921C2semidirect
49. C61×#544C22semidirect
58. C61×#536C22semidirect
60. C61×#533C22semidirect
61. C61×#533C22semidirect
66. C61×#529C22semidirect
67. C61×#529C22semidirect
73. C61×#520C22semidirect
74. C61×#519C22semidirect
77. C61×#501C22semidirect
78. C61×#501C22semidirect
79. C61×#500C22semidirect
80. C61×#499C22semidirect
81. C61×#497C22semidirect
82. C61×#496C22semidirect
83. C61×#495C22semidirect
84. C61×#492C22semidirect
85. C61×#491C22semidirect
86. C61×#490C22semidirect
87. C61×#489C22semidirect
88. C61×#489C22semidirect
89. C61×#488C22semidirect
90. C61×#488C22semidirect
91. C61×#487C22semidirect
92. C61×#486C22semidirect
96. C61×#485C22semidirect
99. C61×#484C22semidirect
104. C61×#482C22semidirect
105. C61×#481C22semidirect
109. C61×#479C22semidirect
110. C61×#479C22semidirect
111. C61×#479C22semidirect
112. C61×#479C22semidirect
113. C61×#478C22semidirect
114. C61×#478C22semidirect
115. C61×#478C22semidirect
116. C61×#478C22semidirect
117. C61×#477C22semidirect
118. C61×#477C22semidirect
119. C61×#477C22semidirect
120. C61×#476C22semidirect
121. C61×#475C22semidirect
122. C61×#474C22semidirect
123. C61×#474C22semidirect
124. C61×#474C22semidirect
125. C61×#470C22semidirect
126. C61×#470C22semidirect
127. C61×#470C22semidirect
130. C61×#469C22semidirect
137. C61×#468C22semidirect
138. C61×#468C22semidirect
139. C61×#468C22semidirect
140. C61×#468C22semidirect
141. C61×#464C22semidirect
142. C61×#464C22semidirect
143. C61×#464C22semidirect
144. C61×#464C22semidirect
145. C61×#463C22semidirect
146. C61×#463C22semidirect
147. C61×#463C22semidirect
148. C61×#463C22semidirect
149. C61×#462C22semidirect
150. C61×#461C22semidirect
151. C61×#461C22semidirect
152. C61×#461C22semidirect
153. C61×#460C22semidirect
154. C61×#460C22semidirect
155. C61×#460C22semidirect
156. C61×#459C22semidirect
160. C61×#452C22semidirect
161. C61×#451C22semidirect
168. C61×#449C22semidirect
171. C61×#448C22semidirect
173. C61×#442C22semidirect
174. C61×#441C22semidirect
175. C61×#440C22semidirect
176. C61×#440C22semidirect
177. C61×#440C22semidirect
178. C61×#440C22semidirect
179. C61×#440C22semidirect
180. C61×#440C22semidirect
181. C4×Q16×C61C22semidirect
182. C4×Q16×C61C22semidirect
183. C4×SD16×C61C22semidirect
184. C4×SD16×C61C22semidirect
185. C4×SD16×C61C22semidirect
186. C4×SD16×C61C22semidirect
187. C4×D8×C61C22semidirect
188. C4×D8×C61C22semidirect
193. C61×#433C22semidirect
194. C61×#433C22semidirect
195. C61×#433C22semidirect
196. C61×#433C22semidirect
197. C61×#423C22semidirect
198. C61×#423C22semidirect
201. C4×M16×C61C22semidirect
202. C4×M16×C61C22semidirect
789. #61004C61direct (N × H)
839. #3495C2×C61semidirect
840. #3494C2×C61semidirect
841. #3256C2×C61semidirect
842. #3254C2×C61semidirect
843. #3252C2×C61semidirect
844. #3251C2×C61semidirect
845. #3243C2×C61semidirect
846. #3243C2×C61semidirect
847. #3242C2×C61semidirect
848. #3241C2×C61semidirect
849. #3225C2×C61semidirect
850. #3224C2×C61semidirect
851. #3222C2×C61semidirect
852. #3221C2×C61semidirect
853. #3197C2×C61semidirect
854. #3196C2×C61semidirect
855. #3194C2×C61semidirect
856. #3193C2×C61semidirect
857. #3183C2×C61semidirect
858. #3182C2×C61semidirect
859. #3172C2×C61semidirect
860. #3171C2×C61semidirect
861. #3126C2×C61semidirect
862. #3124C2×C61semidirect
863. #3124C2×C61semidirect
864. #3123C2×C61semidirect
865. #3121C2×C61semidirect
866. #3120C2×C61semidirect
867. #3119C2×C61semidirect
868. #3118C2×C61semidirect
869. #2921C2×C61semidirect
897. #544C22×C61semidirect
906. #536C22×C61semidirect
908. #533C22×C61semidirect
909. #533C22×C61semidirect
914. #529C22×C61semidirect
915. #529C22×C61semidirect
921. #520C22×C61semidirect
922. #519C22×C61semidirect
925. #501C22×C61semidirect
926. #501C22×C61semidirect
927. #500C22×C61semidirect
928. #499C22×C61semidirect
929. #497C22×C61semidirect
930. #496C22×C61semidirect
931. #495C22×C61semidirect
932. #492C22×C61semidirect
933. #491C22×C61semidirect
934. #490C22×C61semidirect
935. #489C22×C61semidirect
936. #489C22×C61semidirect
937. #488C22×C61semidirect
938. #488C22×C61semidirect
939. #487C22×C61semidirect
940. #486C22×C61semidirect
944. #485C22×C61semidirect
947. #484C22×C61semidirect
952. #482C22×C61semidirect
953. #481C22×C61semidirect
957. #479C22×C61semidirect
958. #479C22×C61semidirect
959. #479C22×C61semidirect
960. #479C22×C61semidirect
961. #478C22×C61semidirect
962. #478C22×C61semidirect
963. #478C22×C61semidirect
964. #478C22×C61semidirect
965. #477C22×C61semidirect
966. #477C22×C61semidirect
967. #477C22×C61semidirect
968. #476C22×C61semidirect
969. #475C22×C61semidirect
970. #474C22×C61semidirect
971. #474C22×C61semidirect
972. #474C22×C61semidirect
973. #470C22×C61semidirect
974. #470C22×C61semidirect
975. #470C22×C61semidirect
978. #469C22×C61semidirect
985. #468C22×C61semidirect
986. #468C22×C61semidirect
987. #468C22×C61semidirect
988. #468C22×C61semidirect
989. #464C22×C61semidirect
990. #464C22×C61semidirect
991. #464C22×C61semidirect
992. #464C22×C61semidirect
993. #463C22×C61semidirect
994. #463C22×C61semidirect
995. #463C22×C61semidirect
996. #463C22×C61semidirect
997. #462C22×C61semidirect
998. #461C22×C61semidirect
999. #461C22×C61semidirect
1000. #461C22×C61semidirect
1001. #460C22×C61semidirect
1002. #460C22×C61semidirect
1003. #460C22×C61semidirect
1004. #459C22×C61semidirect
1008. #452C22×C61semidirect
1009. #451C22×C61semidirect
1016. #449C22×C61semidirect
1019. #448C22×C61semidirect
1021. #442C22×C61semidirect
1022. #441C22×C61semidirect
1023. #440C22×C61semidirect
1024. #440C22×C61semidirect
1025. #440C22×C61semidirect
1026. #440C22×C61semidirect
1027. #440C22×C61semidirect
1028. #440C22×C61semidirect
1029. C4×Q16C22×C61semidirect
1030. C4×Q16C22×C61semidirect
1031. C4×SD16C22×C61semidirect
1032. C4×SD16C22×C61semidirect
1033. C4×SD16C22×C61semidirect
1034. C4×SD16C22×C61semidirect
1035. C4×D8C22×C61semidirect
1036. C4×D8C22×C61semidirect
1041. #433C22×C61semidirect
1042. #433C22×C61semidirect
1043. #433C22×C61semidirect
1044. #433C22×C61semidirect
1045. #423C22×C61semidirect
1046. #423C22×C61semidirect
1049. C4×M16C22×C61semidirect
1050. C4×M16C22×C61semidirect
1051. C61#61004direct (N × H)

Maximal subgroups

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

subgroupindex
C61×#34952
C61×#34942
C61×#32562
C61×#32542
C61×#32522
C61×#32512
C61×#32432
C61×#32422
C61×#32412
C61×#32252
C61×#32242
C61×#32222
C61×#32212
C61×#31972
C61×#31962
C61×#31942
C61×#31932
C61×#31832
C61×#31822
C61×#31722
C61×#31712
C61×#31262
C61×#31242
C61×#31232
C61×#31212
C61×#31202
C61×#31192
C61×#31182
C61×#29212
#6100461