Finite Group Databasebeta

← C61×#61441 #29564874

Subgroups — C61×#61441 #29564874

Order 15616.

1858 conjugacy classes of subgroups.

The subgroup lattice has 1710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C61×#3480C211yesmaximal, characteristic, complemented
2C61×#3475C211yesmaximal, characteristic, complemented
3C61×#3401C211yesmaximal, characteristic, complemented
4C61×#3388C211yesmaximal, characteristic, complemented
5C61×#3377C211yesmaximal, characteristic, complemented
6C61×#3370C211yesmaximal, characteristic, complemented
7C61×#3351C211yesmaximal, characteristic, complemented
8C61×#3349C211yesmaximal, characteristic, complemented
9C61×#3347C211yesmaximal, characteristic, complemented
10C61×#3327C211yesmaximal, characteristic, complemented
11C61×#3322C211yesmaximal, characteristic, complemented
12C61×#3321C211yesmaximal, characteristic, complemented
13C61×#3317C211yesmaximal, characteristic, complemented
14C61×#3311C211yesmaximal, characteristic, complemented
15C61×#3307C211yesmaximal, characteristic, complemented
16C61×#3275C211yesmaximal, characteristic, complemented
17C61×#3269C211yesmaximal, characteristic, complemented
18C61×#3268C211yesmaximal, characteristic, complemented
19C61×#3172C211yesmaximal, characteristic, complemented
20C61×#3171C211yesmaximal, characteristic, complemented
21C61×#3168C211yesmaximal, characteristic, complemented
22C61×#3108C211yesmaximal, characteristic, complemented
23C61×#3107C211yesmaximal, characteristic, complemented
24C61×#3106C211yesmaximal, characteristic, complemented
25C61×#3105C211yesmaximal, characteristic, complemented
26C61×#3102C211yesmaximal, characteristic, complemented
27C61×#3102C211yesmaximal, characteristic, complemented
28C61×#2965C211yesmaximal, characteristic, complemented
29C4×#137×C61C211yesmaximal, characteristic, complemented
30C4×AGL(1,ℤ/8)×C61C211yesmaximal, characteristic, complemented
31C4×#135×C61C211yesmaximal, characteristic, complemented
32C2×#137×C61C2211yescharacteristic
33C2×AGL(1,ℤ/8)×C61C2211yescharacteristic
34C2×#135×C61C2211yescharacteristic
35C61×#559—21no—
36C61×#559C2211yescharacteristic, complemented
37C61×#557C2211yescharacteristic, complemented
38C61×#556—21no—
39C61×#556C2211yescharacteristic
40C61×#556C2211yescharacteristic
41C61×#555C2211yescharacteristic
42C61×#554C2211yescharacteristic
43C61×#553—21no—
44C61×#553—21no—
45C61×#553—21no—
46C61×#553C2211yescharacteristic
47C61×#553C2211yescharacteristic, complemented
48C61×#552—21no—
49C61×#552C2211yescharacteristic
50C61×#552C2211yescharacteristic
51C61×#551—21no—
52C61×#551—21no—
53C61×#550C2211yescharacteristic
54C61×#548C2211yescharacteristic
55C61×#548C2211yescharacteristic, complemented
56C61×#547C2211yescharacteristic
57C61×#546C2211yescharacteristic
58C61×#546C2211yescharacteristic
59C61×#533C2211yescharacteristic
60C61×#532—21no—
61C61×#532C2211yescharacteristic, complemented
62C61×#529—21no—
63C61×#529—21no—
64C61×#529—21no—
65C61×#529—21no—
66C61×#529C2211yescharacteristic
67C61×#529C2211yescharacteristic
68C61×#529C2211yescharacteristic
69C61×#529C2211yescharacteristic, complemented
70C61×#525—21no—
71C4×#41×C61—21no—
72C4×#41×C61C2211yescharacteristic
73C4×#41×C61C2211yescharacteristic
74C4×#41×C61C2211yescharacteristic
75C4×#41×C61C2211yescharacteristic
76C4×#41×C61C2211yescharacteristic, complemented
77C2×C4×Q8×C61C2211yescharacteristic, complemented
78C2×C4×D4×C61C2211yescharacteristic
79C2×#117×C61—21no—
80C61×#501C2211yescharacteristic, complemented
81C61×#501C2211yescharacteristic, complemented
82C61×#499C2211yescharacteristic, complemented
83C61×#497C2211yescharacteristic, complemented
84C61×#496C2211yescharacteristic
85C61×#495C2211yescharacteristic
86C61×#491C2211yescharacteristic, complemented
87C61×#490C2211yescharacteristic, complemented
88C61×#489C2211yescharacteristic
89C61×#489C2211yescharacteristic, complemented
90C61×#488C2211yescharacteristic
91C61×#488C2211yescharacteristic, complemented
92C61×#485C2211yescharacteristic
93C61×#485C2211yescharacteristic
94C61×#485C2211yescharacteristic, complemented
95C61×#485C2211yescharacteristic, complemented
96C61×#484C2211yescharacteristic
97C61×#483C2211yescharacteristic, complemented
98C61×#482C2211yescharacteristic
99C61×#482C2211yescharacteristic, complemented
100C61×#482C2211yescharacteristic, complemented
101C61×#482C2211yescharacteristic, complemented
102C61×#481C2211yescharacteristic
103C61×#480C2211yescharacteristic
104C61×#479C2211yescharacteristic, complemented
105C61×#479C2211yescharacteristic, complemented
106C61×#479C2211yescharacteristic, complemented
107C61×#479C2211yescharacteristic, complemented
108C61×#478C2211yescharacteristic
109C61×#478C2211yescharacteristic
110C61×#478C2211yescharacteristic
111C61×#478C2211yescharacteristic, complemented
112C61×#477C2211yescharacteristic, complemented
113C61×#476C2211yescharacteristic
114C61×#475C2211yescharacteristic, complemented
115C61×#474C2211yescharacteristic, complemented
116C61×#470C2211yescharacteristic
117C61×#470C2211yescharacteristic
118C61×#469C2211yescharacteristic
119C61×#469C2211yescharacteristic
120C61×#468C2211yescharacteristic
121C61×#468C2211yescharacteristic
122C61×#468C2211yescharacteristic, complemented
123C61×#468C2211yescharacteristic, complemented
124C61×#467C2211yescharacteristic, complemented
125C61×#466C2211yescharacteristic
126C61×#465C2211yescharacteristic
127C61×#465C2211yescharacteristic, complemented
128C61×#464C2211yescharacteristic
129C61×#464C2211yescharacteristic
130C61×#464C2211yescharacteristic
131C61×#464C2211yescharacteristic, complemented
132C61×#463C2211yescharacteristic
133C61×#463C2211yescharacteristic
134C61×#463C2211yescharacteristic
135C61×#463C2211yescharacteristic
136C61×#462C2211yescharacteristic, complemented
137C61×#461C2211yescharacteristic, complemented
138C61×#460C2211yescharacteristic, complemented
139C61×#459C2211yescharacteristic
140C61×#452C2211yescharacteristic
141C61×#452C2211yescharacteristic
142C61×#452C2211yescharacteristic
143C61×#452C2211yescharacteristic, complemented
144C61×#451C2211yescharacteristic, complemented
145C61×#450C2211yescharacteristic
146C61×#449C2211yescharacteristic
147C61×#449C2211yescharacteristic
148C61×#449C2211yescharacteristic
149C61×#449C2211yescharacteristic
150C61×#448C2211yescharacteristic
151C61×#447C2211yescharacteristic
152C61×#446C2211yescharacteristic, complemented
153C61×#446C2211yescharacteristic, complemented
154C61×#442C2211yescharacteristic
155C61×#442C2211yescharacteristic
156C61×#441C2211yescharacteristic, complemented
157C61×#441C2211yescharacteristic, complemented
158C61×#440C2211yescharacteristic
159C61×#440C2211yescharacteristic
160C61×#440C2211yescharacteristic
161C61×#440C2211yescharacteristic
162C4×Q16×C61C2211yescharacteristic, complemented
163C4×Q16×C61C2211yescharacteristic, complemented
164C4×Q16×C61C2211yescharacteristic, complemented
165C4×Q16×C61C2211yescharacteristic, complemented
166C4×Q16×C61C2211yescharacteristic, complemented
167C4×SD16×C61C2211yescharacteristic
168C4×SD16×C61C2211yescharacteristic
169C4×SD16×C61C2211yescharacteristic
170C4×SD16×C61C2211yescharacteristic
171C4×SD16×C61C2211yescharacteristic
172C4×SD16×C61C2211yescharacteristic, complemented
173C4×SD16×C61C2211yescharacteristic, complemented
174C4×SD16×C61C2211yescharacteristic, complemented
175C4×SD16×C61C2211yescharacteristic, complemented
176C4×SD16×C61C2211yescharacteristic, complemented
177C4×D8×C61C2211yescharacteristic
178C4×D8×C61C2211yescharacteristic
179C4×D8×C61C2211yescharacteristic
180C4×D8×C61C2211yescharacteristic
181C4×D8×C61C2211yescharacteristic
182C61×#436C2211yescharacteristic
183C61×#436C2211yescharacteristic
184C61×#435C2211yescharacteristic
185C61×#435C2211yescharacteristic
186C61×#435C2211yescharacteristic, complemented
187C61×#435C2211yescharacteristic, complemented
188C61×#431C2211yescharacteristic
189C61×#431C2211yescharacteristic, complemented
190C61×#431C2211yescharacteristic, complemented
191C61×#428C2211yescharacteristic
192C61×#428C2211yescharacteristic, complemented
193C61×#427C2211yescharacteristic, complemented
194C61×#419C2211yescharacteristic, complemented
195C61×#418C2211yescharacteristic
196C61×#417C2211yescharacteristic
197C61×#417C2211yescharacteristic
198C61×#416C2211yescharacteristic
199C61×#416C2211yescharacteristic, complemented
200C4×M16×C61C2211yescharacteristic
201C4×M16×C61C2211yescharacteristic, complemented
202C2×C4×C8×C61C2211yescharacteristic, complemented
203C2×#41×C61—21no—
204C2×#41×C61D411yescharacteristic
205C2×#41×C61C2311yescharacteristic
206C2×#41×C61C2311yescharacteristic
207C2×#41×C61C2311yescharacteristic
208C2×#41×C61C2311yescharacteristic
209C22×Q8×C61C2311yescharacteristic
210C22×D4×C61C2311yescharacteristic
211C23×C4×C61—21no—
212#137×C61—24no—
213AGL(1,ℤ/8)×C61—24no—
214#135×C61—24no—
215C2×Q16×C61C2311yescharacteristic
216C2×Q16×C61C2311yescharacteristic
217C2×Q16×C61C2311yescharacteristic
218C2×Q16×C61C2311yescharacteristic
219C2×SD16×C61C2311yescharacteristic
220C2×SD16×C61C2311yescharacteristic
221C2×SD16×C61C2311yescharacteristic
222C2×SD16×C61C2311yescharacteristic
223C2×SD16×C61C2311yescharacteristic
224C2×SD16×C61C2311yescharacteristic
225C2×SD16×C61C2311yescharacteristic
226C2×SD16×C61C2311yescharacteristic
227C2×D8×C61C2311yescharacteristic
228C2×D8×C61C2311yescharacteristic
229C2×D8×C61C2311yescharacteristic
230C2×D8×C61C2311yescharacteristic
231C2×M16×C61C2311yescharacteristic
232C2×M16×C61C2311yescharacteristic
233C2×M16×C61C2311yescharacteristic
234C2×M16×C61C2311yescharacteristic
235C22×C8×C61C2311yescharacteristic
236C22×C8×C61C2311yescharacteristic
237C4⋊Q8×C61—21no—
238C4⋊Q8×C61C2311yescharacteristic
239C4⋊Q8×C61C2311yescharacteristic
240C4⋊Q8×C61C2311yescharacteristic
241#127×C61—21no—
242#127×C61C2311yescharacteristic
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#126×C61—21no—
254#126×C61—21no—
255#125×C61—21no—
256#125×C61—21no—
257#125×C61—21no—
258#125×C61—21no—
259#125×C61—21no—
260#125×C61C2311yescharacteristic
261#125×C61C2311yescharacteristic
262#125×C61C2311yescharacteristic
263#125×C61C2311yescharacteristic
264#124×C61—21no—
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—
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×C61C2311yescharacteristic
297C22⋊Q8×C61C2311yescharacteristic
298C22⋊Q8×C61C2311yescharacteristic
299C22⋊Q8×C61C2311yescharacteristic
300C22⋊Q8×C61C2311yescharacteristic
301C22⋊Q8×C61C2311yescharacteristic
302#121×C61—21no—
303#121×C61—21no—
304#121×C61—21no—
305#121×C61—21no—
306#121×C61—21no—
307#121×C61—21no—
308#121×C61—21no—
309#121×C61—21no—
310#121×C61—21no—
311#121×C61—21no—
312#121×C61—21no—
313#121×C61C2311yescharacteristic
314#121×C61C2311yescharacteristic
315#121×C61C2311yescharacteristic
316#121×C61C2311yescharacteristic
317#121×C61C2311yescharacteristic
318#121×C61C2311yescharacteristic
319#120×C61—21no—
320#120×C61—21no—
321C4×Q8×C61—21no—
322C4×Q8×C61—21no—
323C4×Q8×C61—21no—
324C4×Q8×C61—21no—
325C4×Q8×C61—21no—
326C4×Q8×C61D411yescharacteristic
327C4×Q8×C61C2311yescharacteristic
328C4×Q8×C61C2311yescharacteristic
329C4×Q8×C61C2311yescharacteristic
330C4×Q8×C61C2311yescharacteristic
331C4×Q8×C61C2311yescharacteristic
332C4×Q8×C61C2311yescharacteristic
333C4×Q8×C61C2311yescharacteristic
334C4×Q8×C61C2311yescharacteristic
335C4×Q8×C61C2311yescharacteristic
336C4×Q8×C61C2311yescharacteristic
337C4×Q8×C61C2311yescharacteristic
338C4×D4×C61—21no—
339C4×D4×C61—21no—
340C4×D4×C61—21no—
341C4×D4×C61—21no—
342C4×D4×C61—21no—
343C4×D4×C61—21no—
344C4×D4×C61—21no—
345C4×D4×C61—21no—
346C4×D4×C61—21no—
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×C61D411yescharacteristic
360C4×D4×C61D411yescharacteristic
361C4×D4×C61D411yescharacteristic
362C4×D4×C61C2311yescharacteristic
363C4×D4×C61C2311yescharacteristic
364C4×D4×C61C2311yescharacteristic
365C4×D4×C61C2311yescharacteristic
366C4×D4×C61C2311yescharacteristic
367C4×D4×C61C2311yescharacteristic
368C4×D4×C61C2311yescharacteristic
369C4×D4×C61C2311yescharacteristic
370C4×D4×C61C2311yescharacteristic
371C4×D4×C61C2311yescharacteristic
372C4×D4×C61C2311yescharacteristic
373C4×D4×C61C2311yescharacteristic
374C4×D4×C61C2311yescharacteristic
375#117×C61—21no—
376#117×C61—21no—
377#117×C61—21no—
378#117×C61—21no—
379#117×C61—21no—
380#117×C61—21no—
381#117×C61—21no—
382#117×C61—21no—
383#117×C61—21no—
384#117×C61—21no—
385#117×C61—21no—
386#117×C61—21no—
387#117×C61—21no—
388#117×C61D411yescharacteristic
389#117×C61D411yescharacteristic
390#117×C61D411yescharacteristic
391#117×C61C2311yescharacteristic
392#117×C61C2311yescharacteristic
393#117×C61C2311yescharacteristic
394#117×C61C2311yescharacteristic
395C2×C4⋊C4×C61—21no—
396C2×C4⋊C4×C61—21no—
397C2×C4⋊C4×C61—21no—
398C2×C4⋊C4×C61C2311yescharacteristic
399C2×C4⋊C4×C61C2311yescharacteristic
400C2×C22⋊C4×C61—21no—
401C2×C22⋊C4×C61—21no—
402C2×C22⋊C4×C61—21no—
403C2×C42×C61—21no—
404C2×C42×C61—21no—
405C2×C42×C61—21no—
406C2×C42×C61—21no—
407C2×C42×C61—21no—
408C2×C42×C61C2311yescharacteristic
409C2×C42×C61C2311yescharacteristic
410C2×C42×C61C2311yescharacteristic
411#107×C61C2311yescharacteristic
412#107×C61C2311yescharacteristic
413#107×C61C2311yescharacteristic
414#107×C61C2311yescharacteristic
415#107×C61C2311yescharacteristic
416#107×C61C2311yescharacteristic
417#107×C61C2311yescharacteristic
418#107×C61C2311yescharacteristic
419#106×C61C2311yescharacteristic
420#106×C61C2311yescharacteristic
421#106×C61C2311yescharacteristic
422#106×C61C2311yescharacteristic
423#106×C61C2311yescharacteristic
424#106×C61C2311yescharacteristic
425#106×C61C2311yescharacteristic
426#106×C61C2311yescharacteristic
427C4⋊C8×C61C2311yescharacteristic
428C4⋊C8×C61C2311yescharacteristic
429C4⋊C8×C61C2311yescharacteristic
430C4⋊C8×C61C2311yescharacteristic
431C4⋊C8×C61C2311yescharacteristic
432C4⋊C8×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#102×C61C2311yescharacteristic
450#102×C61C2311yescharacteristic
451#102×C61C2311yescharacteristic
452#102×C61C2311yescharacteristic
453#102×C61C2311yescharacteristic
454#102×C61C2311yescharacteristic
455#102×C61C2311yescharacteristic
456#102×C61C2311yescharacteristic
457#102×C61C2311yescharacteristic
458#102×C61C2311yescharacteristic
459#102×C61C2311yescharacteristic
460#102×C61C2311yescharacteristic
461#102×C61C2311yescharacteristic
462#102×C61C2311yescharacteristic
463#102×C61C2311yescharacteristic
464#102×C61C2311yescharacteristic
465C22⋊C8×C61C2311yescharacteristic
466C22⋊C8×C61C2311yescharacteristic
467C22⋊C8×C61C2311yescharacteristic
468C22⋊C8×C61C2311yescharacteristic
469C22⋊C8×C61C2311yescharacteristic
470C22⋊C8×C61C2311yescharacteristic
471#97×C61C2311yescharacteristic
472#97×C61C2311yescharacteristic
473#97×C61C2311yescharacteristic
474#97×C61C2311yescharacteristic
475C4×C8×C61C2311yescharacteristic
476C4×C8×C61C2311yescharacteristic
477C4×C8×C61C2311yescharacteristic
478C4×C8×C61C2311yescharacteristic
479C4×C8×C61C2311yescharacteristic
480C4×C8×C61C2311yescharacteristic
481C24×C61—21no—
482#41×C61—22no—
483#41×C61—22no—
484#41×C61—22no—
485#41×C61—22no—
486#41×C61—42no—
487#41×C61—41no—
488#41×C61—41no—
489#41×C61—41no—
490#41×C61—41no—
491#41×C61—44no—
492C2×Q8×C61—21no—
493C2×Q8×C61—21no—
494C2×Q8×C61—21no—
495C2×Q8×C61—22no—
496C2×Q8×C61—41no—
497C2×Q8×C61C2×D411yescharacteristic
498C2×Q8×C61C2411yescharacteristic
499C2×Q8×C61C2411yescharacteristic
500C2×Q8×C61C2411yescharacteristic
501C2×Q8×C61C2411yescharacteristic
502C2×D4×C61—22no—
503C2×D4×C61—21no—
504C2×D4×C61—21no—
505C2×D4×C61—21no—
506C2×D4×C61—21no—
507C2×D4×C61—21no—
508C2×D4×C61—21no—
509C2×D4×C61—21no—
510C2×D4×C61—21no—
511C2×D4×C61—21no—
512C2×D4×C61—21no—
513C2×D4×C61—21no—
514C2×D4×C61—21no—
515C2×D4×C61—21no—
516C2×D4×C61—41no—
517C2×D4×C61C2×D411yescharacteristic
518C2×D4×C61C2×D411yescharacteristic
519C2×D4×C61C2×D411yescharacteristic
520C2×D4×C61C2411yescharacteristic
521C2×D4×C61C2411yescharacteristic
522C2×D4×C61C2411yescharacteristic
523C2×D4×C61C2411yescharacteristic
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—21no—
541C22×C4×C61—44no—
542C22×C4×C61C2×D411yescharacteristic
543C22×C4×C61C2×D411yescharacteristic
544C22×C4×C61C2×D411yescharacteristic
545C22×C4×C61C2×D411yescharacteristic
546C22×C4×C61C2×D411yescharacteristic
547C22×C4×C61C2×D411yescharacteristic
548C22×C4×C61C2411yescharacteristic
549C22×C4×C61C2411yescharacteristic
550C22×C4×C61C2411yescharacteristic
551Q16×C61—22no—
552Q16×C61—22no—
553Q16×C61—22no—
554Q16×C61—41no—
555SD16×C61—22no—
556SD16×C61—22no—
557SD16×C61—22no—
558SD16×C61—41no—
559SD16×C61—41no—
560SD16×C61—41no—
561SD16×C61—41no—
562SD16×C61#4114yescomplemented
563D8×C61—22no—
564D8×C61—22no—
565D8×C61—22no—
566D8×C61—41no—
567M16×C61—22no—
568M16×C61—22no—
569M16×C61—41no—
570M16×C61—41no—
571C2×C8×C61—22no—
572C2×C8×C61—41no—
573C2×C8×C61C2411yescharacteristic
574C2×C8×C61C2411yescharacteristic
575C2×C8×C61C2411yescharacteristic
576C2×C8×C61C2411yescharacteristic
577C2×C8×C61C2411yescharacteristic
578C2×C8×C61C2411yescharacteristic
579C2×C8×C61C2411yescharacteristic
580C2×C8×C61C2411yescharacteristic
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×C61C2×D411yescharacteristic
612C4⋊C4×C61C2×D411yescharacteristic
613C4⋊C4×C61C2×D411yescharacteristic
614C4⋊C4×C61C2×D411yescharacteristic
615C4⋊C4×C61C2×D411yescharacteristic
616C4⋊C4×C61C2×D411yescharacteristic
617C4⋊C4×C61C2411yescharacteristic
618C4⋊C4×C61C2411yescharacteristic
619C4⋊C4×C61C2411yescharacteristic
620C4⋊C4×C61C2411yescharacteristic
621C4⋊C4×C61C2411yescharacteristic
622C4⋊C4×C61C2411yescharacteristic
623C4⋊C4×C61C2411yescharacteristic
624C4⋊C4×C61C2411yescharacteristic
625C22⋊C4×C61—21no—
626C22⋊C4×C61—21no—
627C22⋊C4×C61—21no—
628C22⋊C4×C61—21no—
629C22⋊C4×C61—21no—
630C22⋊C4×C61—21no—
631C22⋊C4×C61—21no—
632C22⋊C4×C61—21no—
633C22⋊C4×C61—21no—
634C22⋊C4×C61—21no—
635C22⋊C4×C61—21no—
636C22⋊C4×C61—21no—
637C22⋊C4×C61—21no—
638C22⋊C4×C61—21no—
639C22⋊C4×C61—21no—
640C22⋊C4×C61—21no—
641C22⋊C4×C61—21no—
642C22⋊C4×C61—21no—
643C22⋊C4×C61—21no—
644C22⋊C4×C61—21no—
645C22⋊C4×C61—21no—
646C22⋊C4×C61—21no—
647C22⋊C4×C61—21no—
648C22⋊C4×C61—21no—
649C22⋊C4×C61—21no—
650C22⋊C4×C61—21no—
651C22⋊C4×C61—21no—
652C22⋊C4×C61—21no—
653C22⋊C4×C61—21no—
654C22⋊C4×C61—21no—
655C22⋊C4×C61—21no—
656C22⋊C4×C61—21no—
657C22⋊C4×C61—21no—
658C22⋊C4×C61—21no—
659C22⋊C4×C61C2×D411yescharacteristic
660C22⋊C4×C61C2×D411yescharacteristic
661C22⋊C4×C61C2×D411yescharacteristic
662C22⋊C4×C61C2×D411yescharacteristic
663C22⋊C4×C61C2×D411yescharacteristic
664C22⋊C4×C61C2×D411yescharacteristic
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×C61—21no—
675C42×C61—21no—
676C42×C61—21no—
677C42×C61—21no—
678C42×C61—21no—
679C42×C61C2×D411yescharacteristic
680C42×C61C2×D411yescharacteristic
681C42×C61C2×D411yescharacteristic
682C42×C61C2×D411yescharacteristic
683C42×C61C2×D411yescharacteristic
684C42×C61C2×D411yescharacteristic
685C42×C61C2411yescharacteristic
686C42×C61C2411yescharacteristic
687C42×C61C2411yescharacteristic
688C42×C61C2411yescharacteristic
689C23×C61—21no—
690C23×C61—21no—
691C23×C61—21no—
692C23×C61—21no—
693C23×C61—42no—
694C23×C61—42no—
695C23×C61—81no—
696C23×C61C22×D411yescharacteristic
697C23×C61C22×D411yescharacteristic
698C23×C61C22×D411yescharacteristic
699Q8×C61—21no—
700Q8×C61—21no—
701Q8×C61—21no—
702Q8×C61—21no—
703Q8×C61—21no—
704Q8×C61—21no—
705Q8×C61—21no—
706Q8×C61—41no—
707Q8×C61—42no—
708Q8×C61—42no—
709Q8×C61—81no—
710Q8×C61C2×#4112yes—
711D4×C61—21no—
712D4×C61—21no—
713D4×C61—21no—
714D4×C61—21no—
715D4×C61—21no—
716D4×C61—21no—
717D4×C61—21no—
718D4×C61—41no—
719D4×C61—41no—
720D4×C61—41no—
721D4×C61—42no—
722D4×C61—42no—
723D4×C61—42no—
724D4×C61—42no—
725D4×C61—42no—
726D4×C61—42no—
727D4×C61—42no—
728D4×C61—42no—
729D4×C61—81no—
730D4×C61—81no—
731D4×C61—81no—
732D4×C61—81no—
733D4×C61—81no—
734D4×C61C2×#4112yes—
735C2×C4×C61—21no—
736C2×C4×C61—22no—
737C2×C4×C61—22no—
738C2×C4×C61—22no—
739C2×C4×C61—21no—
740C2×C4×C61—21no—
741C2×C4×C61—21no—
742C2×C4×C61—21no—
743C2×C4×C61—21no—
744C2×C4×C61—21no—
745C2×C4×C61—21no—
746C2×C4×C61—21no—
747C2×C4×C61—21no—
748C2×C4×C61—21no—
749C2×C4×C61—21no—
750C2×C4×C61—21no—
751C2×C4×C61—21no—
752C2×C4×C61—21no—
753C2×C4×C61—21no—
754C2×C4×C61—21no—
755C2×C4×C61—21no—
756C2×C4×C61—41no—
757C2×C4×C61—41no—
758C2×C4×C61—41no—
759C2×C4×C61—42no—
760C2×C4×C61—42no—
761C2×C4×C61—42no—
762C2×C4×C61—42no—
763C2×C4×C61—42no—
764C2×C4×C61—42no—
765C2×C4×C61—42no—
766C2×C4×C61—42no—
767C2×C4×C61—42no—
768C2×C4×C61—42no—
769C2×C4×C61—42no—
770C2×C4×C61—42no—
771C2×C4×C61—81no—
772C2×C4×C61—81no—
773C2×C4×C61—81no—
774C2×C4×C61—81no—
775C2×C4×C61—81no—
776C2×C4×C61C22×D411yescharacteristic
777C2×C4×C61C22×D411yescharacteristic
778C2×C4×C61C22×D411yescharacteristic
779C2×C4×C61C22×D411yescharacteristic
780C2×C4×C61C22×D411yescharacteristic
781C2×C4×C61C22×D411yescharacteristic
782C2×C4×C61C22×D411yescharacteristic
783C2×C4×C61C22×D411yescharacteristic
784C2×C4×C61C22×D411yescharacteristic
785C2×C4×C61C22×D411yescharacteristic
786C2×C4×C61C22×D411yescharacteristic
787C2×C4×C61C2511yescharacteristic
788C8×C61—21no—
789C8×C61—21no—
790C8×C61—21no—
791C8×C61—21no—
792C8×C61—21no—
793C8×C61—21no—
794C8×C61—21no—
795C8×C61C2×#4112yes—
796#61441C6111yesmaximal, characteristic, direct product factor, Sylow
797C22×C61—21no—
798C22×C61—21no—
799C22×C61—21no—
800C22×C61—21no—
801C22×C61—21no—
802C22×C61—21no—
803C22×C61—22no—
804C22×C61—21no—
805C22×C61—21no—
806C22×C61—21no—
807C22×C61—41no—
808C22×C61—41no—
809C22×C61—41no—
810C22×C61—41no—
811C22×C61—41no—
812C22×C61—41no—
813C22×C61—41no—
814C22×C61—41no—
815C22×C61—41no—
816C22×C61—41no—
817C22×C61—41no—
818C22×C61—84no—
819C22×C61C23×D411yescharacteristic
820C4×C61—21no—
821C4×C61—21no—
822C4×C61—21no—
823C4×C61—21no—
824C4×C61—21no—
825C4×C61—21no—
826C4×C61—21no—
827C4×C61—22no—
828C4×C61—21no—
829C4×C61—21no—
830C4×C61—21no—
831C4×C61—41no—
832C4×C61—41no—
833C4×C61—41no—
834C4×C61—41no—
835C4×C61—41no—
836C4×C61—41no—
837C4×C61—41no—
838C4×C61—41no—
839C4×C61—41no—
840C4×C61—41no—
841C4×C61—41no—
842C4×C61#57512yes—
843C4×C61C22×#4111yescharacteristic
844C4×C61#58511yescharacteristic
845#3480C2×C6111yescharacteristic, complemented
846#3475C2×C6111yescharacteristic, complemented
847#3401C2×C6111yescharacteristic, complemented
848#3388C2×C6111yescharacteristic, complemented
849#3377C2×C6111yescharacteristic, complemented
850#3370C2×C6111yescharacteristic, complemented
851#3351C2×C6111yescharacteristic, complemented
852#3349C2×C6111yescharacteristic, complemented
853#3347C2×C6111yescharacteristic, complemented
854#3327C2×C6111yescharacteristic, complemented
855#3322C2×C6111yescharacteristic, complemented
856#3321C2×C6111yescharacteristic, complemented
857#3317C2×C6111yescharacteristic, complemented
858#3311C2×C6111yescharacteristic, complemented
859#3307C2×C6111yescharacteristic, complemented
860#3275C2×C6111yescharacteristic, complemented
861#3269C2×C6111yescharacteristic, complemented
862#3268C2×C6111yescharacteristic, complemented
863#3172C2×C6111yescharacteristic, complemented
864#3171C2×C6111yescharacteristic, complemented
865#3168C2×C6111yescharacteristic, complemented
866#3108C2×C6111yescharacteristic, complemented
867#3107C2×C6111yescharacteristic, complemented
868#3106C2×C6111yescharacteristic, complemented
869#3105C2×C6111yescharacteristic, complemented
870#3102C2×C6111yescharacteristic, complemented
871#3102C2×C6111yescharacteristic, complemented
872#2965C2×C6111yescharacteristic, complemented
873C4×#137C2×C6111yescharacteristic, complemented
874C4×AGL(1,ℤ/8)C2×C6111yescharacteristic, complemented
875C4×#135C2×C6111yescharacteristic, complemented
876C2×C61—41no—
877C2×C61—41no—
878C2×C61—41no—
879C2×C61—42no—
880C2×C61—81no—
881C2×C61—81no—
882C2×C61—81no—
883C2×C61D4×#4111yescharacteristic
884C2×C61C2×#57511yescharacteristic
885C2×C61#358411yescharacteristic
886C2×#137C22×C6111yescharacteristic
887C2×AGL(1,ℤ/8)C22×C6111yescharacteristic
888C2×#135C22×C6111yescharacteristic
889#559—21no—
890#559C22×C6111yescharacteristic, complemented
891#557C22×C6111yescharacteristic, complemented
892#556—21no—
893#556C22×C6111yescharacteristic
894#556C22×C6111yescharacteristic
895#555C22×C6111yescharacteristic
896#554C22×C6111yescharacteristic
897#553—21no—
898#553—21no—
899#553—21no—
900#553C22×C6111yescharacteristic
901#553C22×C6111yescharacteristic, complemented
902#552—21no—
903#552C22×C6111yescharacteristic
904#552C22×C6111yescharacteristic
905#551—21no—
906#551—21no—
907#550C22×C6111yescharacteristic
908#548C22×C6111yescharacteristic
909#548C22×C6111yescharacteristic, complemented
910#547C22×C6111yescharacteristic
911#546C22×C6111yescharacteristic
912#546C22×C6111yescharacteristic
913#533C22×C6111yescharacteristic
914#532—21no—
915#532C22×C6111yescharacteristic, complemented
916#529—21no—
917#529—21no—
918#529—21no—
919#529—21no—
920#529C22×C6111yescharacteristic
921#529C22×C6111yescharacteristic
922#529C22×C6111yescharacteristic
923#529C22×C6111yescharacteristic, complemented
924#525—21no—
925C4×#41—21no—
926C4×#41C22×C6111yescharacteristic
927C4×#41C22×C6111yescharacteristic
928C4×#41C22×C6111yescharacteristic
929C4×#41C22×C6111yescharacteristic
930C4×#41C22×C6111yescharacteristic, complemented
931C2×C4×Q8C22×C6111yescharacteristic, complemented
932C2×C4×D4C22×C6111yescharacteristic
933C2×#117—21no—
934#501C22×C6111yescharacteristic, complemented
935#501C22×C6111yescharacteristic, complemented
936#499C22×C6111yescharacteristic, complemented
937#497C22×C6111yescharacteristic, complemented
938#496C22×C6111yescharacteristic
939#495C22×C6111yescharacteristic
940#491C22×C6111yescharacteristic, complemented
941#490C22×C6111yescharacteristic, complemented
942#489C22×C6111yescharacteristic
943#489C22×C6111yescharacteristic, complemented
944#488C22×C6111yescharacteristic
945#488C22×C6111yescharacteristic, complemented
946#485C22×C6111yescharacteristic
947#485C22×C6111yescharacteristic
948#485C22×C6111yescharacteristic, complemented
949#485C22×C6111yescharacteristic, complemented
950#484C22×C6111yescharacteristic
951#483C22×C6111yescharacteristic, complemented
952#482C22×C6111yescharacteristic
953#482C22×C6111yescharacteristic, complemented
954#482C22×C6111yescharacteristic, complemented
955#482C22×C6111yescharacteristic, complemented
956#481C22×C6111yescharacteristic
957#480C22×C6111yescharacteristic
958#479C22×C6111yescharacteristic, complemented
959#479C22×C6111yescharacteristic, complemented
960#479C22×C6111yescharacteristic, complemented
961#479C22×C6111yescharacteristic, complemented
962#478C22×C6111yescharacteristic
963#478C22×C6111yescharacteristic
964#478C22×C6111yescharacteristic
965#478C22×C6111yescharacteristic, complemented
966#477C22×C6111yescharacteristic, complemented
967#476C22×C6111yescharacteristic
968#475C22×C6111yescharacteristic, complemented
969#474C22×C6111yescharacteristic, complemented
970#470C22×C6111yescharacteristic
971#470C22×C6111yescharacteristic
972#469C22×C6111yescharacteristic
973#469C22×C6111yescharacteristic
974#468C22×C6111yescharacteristic
975#468C22×C6111yescharacteristic
976#468C22×C6111yescharacteristic, complemented
977#468C22×C6111yescharacteristic, complemented
978#467C22×C6111yescharacteristic, complemented
979#466C22×C6111yescharacteristic
980#465C22×C6111yescharacteristic
981#465C22×C6111yescharacteristic, complemented
982#464C22×C6111yescharacteristic
983#464C22×C6111yescharacteristic
984#464C22×C6111yescharacteristic
985#464C22×C6111yescharacteristic, complemented
986#463C22×C6111yescharacteristic
987#463C22×C6111yescharacteristic
988#463C22×C6111yescharacteristic
989#463C22×C6111yescharacteristic
990#462C22×C6111yescharacteristic, complemented
991#461C22×C6111yescharacteristic, complemented
992#460C22×C6111yescharacteristic, complemented
993#459C22×C6111yescharacteristic
994#452C22×C6111yescharacteristic
995#452C22×C6111yescharacteristic
996#452C22×C6111yescharacteristic
997#452C22×C6111yescharacteristic, complemented
998#451C22×C6111yescharacteristic, complemented
999#450C22×C6111yescharacteristic
1000#449C22×C6111yescharacteristic
1001#449C22×C6111yescharacteristic
1002#449C22×C6111yescharacteristic
1003#449C22×C6111yescharacteristic
1004#448C22×C6111yescharacteristic
1005#447C22×C6111yescharacteristic
1006#446C22×C6111yescharacteristic, complemented
1007#446C22×C6111yescharacteristic, complemented
1008#442C22×C6111yescharacteristic
1009#442C22×C6111yescharacteristic
1010#441C22×C6111yescharacteristic, complemented
1011#441C22×C6111yescharacteristic, complemented
1012#440C22×C6111yescharacteristic
1013#440C22×C6111yescharacteristic
1014#440C22×C6111yescharacteristic
1015#440C22×C6111yescharacteristic
1016C4×Q16C22×C6111yescharacteristic, complemented
1017C4×Q16C22×C6111yescharacteristic, complemented
1018C4×Q16C22×C6111yescharacteristic, complemented
1019C4×Q16C22×C6111yescharacteristic, complemented
1020C4×Q16C22×C6111yescharacteristic, complemented
1021C4×SD16C22×C6111yescharacteristic
1022C4×SD16C22×C6111yescharacteristic
1023C4×SD16C22×C6111yescharacteristic
1024C4×SD16C22×C6111yescharacteristic
1025C4×SD16C22×C6111yescharacteristic
1026C4×SD16C22×C6111yescharacteristic, complemented
1027C4×SD16C22×C6111yescharacteristic, complemented
1028C4×SD16C22×C6111yescharacteristic, complemented
1029C4×SD16C22×C6111yescharacteristic, complemented
1030C4×SD16C22×C6111yescharacteristic, complemented
1031C4×D8C22×C6111yescharacteristic
1032C4×D8C22×C6111yescharacteristic
1033C4×D8C22×C6111yescharacteristic
1034C4×D8C22×C6111yescharacteristic
1035C4×D8C22×C6111yescharacteristic
1036#436C22×C6111yescharacteristic
1037#436C22×C6111yescharacteristic
1038#435C22×C6111yescharacteristic
1039#435C22×C6111yescharacteristic
1040#435C22×C6111yescharacteristic, complemented
1041#435C22×C6111yescharacteristic, complemented
1042#431C22×C6111yescharacteristic
1043#431C22×C6111yescharacteristic, complemented
1044#431C22×C6111yescharacteristic, complemented
1045#428C22×C6111yescharacteristic
1046#428C22×C6111yescharacteristic, complemented
1047#427C22×C6111yescharacteristic, complemented
1048#419C22×C6111yescharacteristic, complemented
1049#418C22×C6111yescharacteristic
1050#417C22×C6111yescharacteristic
1051#417C22×C6111yescharacteristic
1052#416C22×C6111yescharacteristic
1053#416C22×C6111yescharacteristic, complemented
1054C4×M16C22×C6111yescharacteristic
1055C4×M16C22×C6111yescharacteristic, complemented
1056C2×C4×C8C22×C6111yescharacteristic, complemented
1057C61#6144111yescharacteristic, direct product factor, Sylow
1058C2×#41—21no—
1059C2×#41D4×C6111yescharacteristic
1060C2×#41C23×C6111yescharacteristic
1061C2×#41C23×C6111yescharacteristic
1062C2×#41C23×C6111yescharacteristic
1063C2×#41C23×C6111yescharacteristic
1064C22×Q8C23×C6111yescharacteristic
1065C22×D4C23×C6111yescharacteristic
1066C23×C4—21no—
1067#137—24no—
1068AGL(1,ℤ/8)—24no—
1069#135—24no—
1070C2×Q16C23×C6111yescharacteristic
1071C2×Q16C23×C6111yescharacteristic
1072C2×Q16C23×C6111yescharacteristic
1073C2×Q16C23×C6111yescharacteristic
1074C2×SD16C23×C6111yescharacteristic
1075C2×SD16C23×C6111yescharacteristic
1076C2×SD16C23×C6111yescharacteristic
1077C2×SD16C23×C6111yescharacteristic
1078C2×SD16C23×C6111yescharacteristic
1079C2×SD16C23×C6111yescharacteristic
1080C2×SD16C23×C6111yescharacteristic
1081C2×SD16C23×C6111yescharacteristic
1082C2×D8C23×C6111yescharacteristic
1083C2×D8C23×C6111yescharacteristic
1084C2×D8C23×C6111yescharacteristic
1085C2×D8C23×C6111yescharacteristic
1086C2×M16C23×C6111yescharacteristic
1087C2×M16C23×C6111yescharacteristic
1088C2×M16C23×C6111yescharacteristic
1089C2×M16C23×C6111yescharacteristic
1090C22×C8C23×C6111yescharacteristic
1091C22×C8C23×C6111yescharacteristic
1092C4⋊Q8—21no—
1093C4⋊Q8C23×C6111yescharacteristic
1094C4⋊Q8C23×C6111yescharacteristic
1095C4⋊Q8C23×C6111yescharacteristic
1096#127—21no—
1097#127C23×C6111yescharacteristic
1098#126—21no—
1099#126—21no—
1100#126—21no—
1101#126—21no—
1102#126—21no—
1103#126—21no—
1104#126—21no—
1105#126—21no—
1106#126—21no—
1107#126—21no—
1108#126—21no—
1109#126—21no—
1110#125—21no—
1111#125—21no—
1112#125—21no—
1113#125—21no—
1114#125—21no—
1115#125C23×C6111yescharacteristic
1116#125C23×C6111yescharacteristic
1117#125C23×C6111yescharacteristic
1118#125C23×C6111yescharacteristic
1119#124—21no—
1120#124—21no—
1121#124—21no—
1122#124—21no—
1123#124—21no—
1124#124—21no—
1125#124—21no—
1126#124C23×C6111yescharacteristic
1127#124C23×C6111yescharacteristic
1128#124C23×C6111yescharacteristic
1129#124C23×C6111yescharacteristic
1130#123—21no—
1131#123—21no—
1132#123—21no—
1133#123—21no—
1134#123—21no—
1135#123—21no—
1136#123—21no—
1137#123—21no—
1138#123—21no—
1139#123—21no—
1140#123—21no—
1141#123—21no—
1142#123—21no—
1143#123—21no—
1144C22⋊Q8—21no—
1145C22⋊Q8—21no—
1146C22⋊Q8—21no—
1147C22⋊Q8—21no—
1148C22⋊Q8—21no—
1149C22⋊Q8—21no—
1150C22⋊Q8—21no—
1151C22⋊Q8C23×C6111yescharacteristic
1152C22⋊Q8C23×C6111yescharacteristic
1153C22⋊Q8C23×C6111yescharacteristic
1154C22⋊Q8C23×C6111yescharacteristic
1155C22⋊Q8C23×C6111yescharacteristic
1156C22⋊Q8C23×C6111yescharacteristic
1157#121—21no—
1158#121—21no—
1159#121—21no—
1160#121—21no—
1161#121—21no—
1162#121—21no—
1163#121—21no—
1164#121—21no—
1165#121—21no—
1166#121—21no—
1167#121—21no—
1168#121C23×C6111yescharacteristic
1169#121C23×C6111yescharacteristic
1170#121C23×C6111yescharacteristic
1171#121C23×C6111yescharacteristic
1172#121C23×C6111yescharacteristic
1173#121C23×C6111yescharacteristic
1174#120—21no—
1175#120—21no—
1176C4×Q8—21no—
1177C4×Q8—21no—
1178C4×Q8—21no—
1179C4×Q8—21no—
1180C4×Q8—21no—
1181C4×Q8D4×C6111yescharacteristic
1182C4×Q8C23×C6111yescharacteristic
1183C4×Q8C23×C6111yescharacteristic
1184C4×Q8C23×C6111yescharacteristic
1185C4×Q8C23×C6111yescharacteristic
1186C4×Q8C23×C6111yescharacteristic
1187C4×Q8C23×C6111yescharacteristic
1188C4×Q8C23×C6111yescharacteristic
1189C4×Q8C23×C6111yescharacteristic
1190C4×Q8C23×C6111yescharacteristic
1191C4×Q8C23×C6111yescharacteristic
1192C4×Q8C23×C6111yescharacteristic
1193C4×D4—21no—
1194C4×D4—21no—
1195C4×D4—21no—
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×D4—21no—
1213C4×D4—21no—
1214C4×D4D4×C6111yescharacteristic
1215C4×D4D4×C6111yescharacteristic
1216C4×D4D4×C6111yescharacteristic
1217C4×D4C23×C6111yescharacteristic
1218C4×D4C23×C6111yescharacteristic
1219C4×D4C23×C6111yescharacteristic
1220C4×D4C23×C6111yescharacteristic
1221C4×D4C23×C6111yescharacteristic
1222C4×D4C23×C6111yescharacteristic
1223C4×D4C23×C6111yescharacteristic
1224C4×D4C23×C6111yescharacteristic
1225C4×D4C23×C6111yescharacteristic
1226C4×D4C23×C6111yescharacteristic
1227C4×D4C23×C6111yescharacteristic
1228C4×D4C23×C6111yescharacteristic
1229C4×D4C23×C6111yescharacteristic
1230#117—21no—
1231#117—21no—
1232#117—21no—
1233#117—21no—
1234#117—21no—
1235#117—21no—
1236#117—21no—
1237#117—21no—
1238#117—21no—
1239#117—21no—
1240#117—21no—
1241#117—21no—
1242#117—21no—
1243#117D4×C6111yescharacteristic
1244#117D4×C6111yescharacteristic
1245#117D4×C6111yescharacteristic
1246#117C23×C6111yescharacteristic
1247#117C23×C6111yescharacteristic
1248#117C23×C6111yescharacteristic
1249#117C23×C6111yescharacteristic
1250C2×C4⋊C4—21no—
1251C2×C4⋊C4—21no—
1252C2×C4⋊C4—21no—
1253C2×C4⋊C4C23×C6111yescharacteristic
1254C2×C4⋊C4C23×C6111yescharacteristic
1255C2×C22⋊C4—21no—
1256C2×C22⋊C4—21no—
1257C2×C22⋊C4—21no—
1258C2×C42—21no—
1259C2×C42—21no—
1260C2×C42—21no—
1261C2×C42—21no—
1262C2×C42—21no—
1263C2×C42C23×C6111yescharacteristic
1264C2×C42C23×C6111yescharacteristic
1265C2×C42C23×C6111yescharacteristic
1266#107C23×C6111yescharacteristic
1267#107C23×C6111yescharacteristic
1268#107C23×C6111yescharacteristic
1269#107C23×C6111yescharacteristic
1270#107C23×C6111yescharacteristic
1271#107C23×C6111yescharacteristic
1272#107C23×C6111yescharacteristic
1273#107C23×C6111yescharacteristic
1274#106C23×C6111yescharacteristic
1275#106C23×C6111yescharacteristic
1276#106C23×C6111yescharacteristic
1277#106C23×C6111yescharacteristic
1278#106C23×C6111yescharacteristic
1279#106C23×C6111yescharacteristic
1280#106C23×C6111yescharacteristic
1281#106C23×C6111yescharacteristic
1282C4⋊C8C23×C6111yescharacteristic
1283C4⋊C8C23×C6111yescharacteristic
1284C4⋊C8C23×C6111yescharacteristic
1285C4⋊C8C23×C6111yescharacteristic
1286C4⋊C8C23×C6111yescharacteristic
1287C4⋊C8C23×C6111yescharacteristic
1288#103C23×C6111yescharacteristic
1289#103C23×C6111yescharacteristic
1290#103C23×C6111yescharacteristic
1291#103C23×C6111yescharacteristic
1292#103C23×C6111yescharacteristic
1293#103C23×C6111yescharacteristic
1294#103C23×C6111yescharacteristic
1295#103C23×C6111yescharacteristic
1296#103C23×C6111yescharacteristic
1297#103C23×C6111yescharacteristic
1298#103C23×C6111yescharacteristic
1299#103C23×C6111yescharacteristic
1300#103C23×C6111yescharacteristic
1301#103C23×C6111yescharacteristic
1302#103C23×C6111yescharacteristic
1303#103C23×C6111yescharacteristic
1304#102C23×C6111yescharacteristic
1305#102C23×C6111yescharacteristic
1306#102C23×C6111yescharacteristic
1307#102C23×C6111yescharacteristic
1308#102C23×C6111yescharacteristic
1309#102C23×C6111yescharacteristic
1310#102C23×C6111yescharacteristic
1311#102C23×C6111yescharacteristic
1312#102C23×C6111yescharacteristic
1313#102C23×C6111yescharacteristic
1314#102C23×C6111yescharacteristic
1315#102C23×C6111yescharacteristic
1316#102C23×C6111yescharacteristic
1317#102C23×C6111yescharacteristic
1318#102C23×C6111yescharacteristic
1319#102C23×C6111yescharacteristic
1320C22⋊C8C23×C6111yescharacteristic
1321C22⋊C8C23×C6111yescharacteristic
1322C22⋊C8C23×C6111yescharacteristic
1323C22⋊C8C23×C6111yescharacteristic
1324C22⋊C8C23×C6111yescharacteristic
1325C22⋊C8C23×C6111yescharacteristic
1326#97C23×C6111yescharacteristic
1327#97C23×C6111yescharacteristic
1328#97C23×C6111yescharacteristic
1329#97C23×C6111yescharacteristic
1330C4×C8C23×C6111yescharacteristic
1331C4×C8C23×C6111yescharacteristic
1332C4×C8C23×C6111yescharacteristic
1333C4×C8C23×C6111yescharacteristic
1334C4×C8C23×C6111yescharacteristic
1335C4×C8C23×C6111yescharacteristic
1336C24—21no—
1337#41—22no—
1338#41—22no—
1339#41—22no—
1340#41—22no—
1341#41—42no—
1342#41—41no—
1343#41—41no—
1344#41—41no—
1345#41—41no—
1346#41—44no—
1347C2×Q8—21no—
1348C2×Q8—21no—
1349C2×Q8—21no—
1350C2×Q8—22no—
1351C2×Q8—41no—
1352C2×Q8C2×D4×C6111yescharacteristic
1353C2×Q8C24×C6111yescharacteristic
1354C2×Q8C24×C6111yescharacteristic
1355C2×Q8C24×C6111yescharacteristic
1356C2×Q8C24×C6111yescharacteristic
1357C2×D4—22no—
1358C2×D4—21no—
1359C2×D4—21no—
1360C2×D4—21no—
1361C2×D4—21no—
1362C2×D4—21no—
1363C2×D4—21no—
1364C2×D4—21no—
1365C2×D4—21no—
1366C2×D4—21no—
1367C2×D4—21no—
1368C2×D4—21no—
1369C2×D4—21no—
1370C2×D4—21no—
1371C2×D4—41no—
1372C2×D4C2×D4×C6111yescharacteristic
1373C2×D4C2×D4×C6111yescharacteristic
1374C2×D4C2×D4×C6111yescharacteristic
1375C2×D4C24×C6111yescharacteristic
1376C2×D4C24×C6111yescharacteristic
1377C2×D4C24×C6111yescharacteristic
1378C2×D4C24×C6111yescharacteristic
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—21no—
1390C22×C4—21no—
1391C22×C4—21no—
1392C22×C4—21no—
1393C22×C4—21no—
1394C22×C4—21no—
1395C22×C4—21no—
1396C22×C4—44no—
1397C22×C4C2×D4×C6111yescharacteristic
1398C22×C4C2×D4×C6111yescharacteristic
1399C22×C4C2×D4×C6111yescharacteristic
1400C22×C4C2×D4×C6111yescharacteristic
1401C22×C4C2×D4×C6111yescharacteristic
1402C22×C4C2×D4×C6111yescharacteristic
1403C22×C4C24×C6111yescharacteristic
1404C22×C4C24×C6111yescharacteristic
1405C22×C4C24×C6111yescharacteristic
1406Q16—22no—
1407Q16—22no—
1408Q16—22no—
1409Q16—41no—
1410SD16—22no—
1411SD16—22no—
1412SD16—22no—
1413SD16—41no—
1414SD16—41no—
1415SD16—41no—
1416SD16—41no—
1417SD16#41×C6114yescomplemented
1418D8—22no—
1419D8—22no—
1420D8—22no—
1421D8—41no—
1422M16—22no—
1423M16—22no—
1424M16—41no—
1425M16—41no—
1426C2×C8—22no—
1427C2×C8—41no—
1428C2×C8C24×C6111yescharacteristic
1429C2×C8C24×C6111yescharacteristic
1430C2×C8C24×C6111yescharacteristic
1431C2×C8C24×C6111yescharacteristic
1432C2×C8C24×C6111yescharacteristic
1433C2×C8C24×C6111yescharacteristic
1434C2×C8C24×C6111yescharacteristic
1435C2×C8C24×C6111yescharacteristic
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—21no—
1441C4⋊C4—21no—
1442C4⋊C4—21no—
1443C4⋊C4—21no—
1444C4⋊C4—21no—
1445C4⋊C4—21no—
1446C4⋊C4—21no—
1447C4⋊C4—21no—
1448C4⋊C4—21no—
1449C4⋊C4—21no—
1450C4⋊C4—21no—
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—21no—
1454C4⋊C4—21no—
1455C4⋊C4—21no—
1456C4⋊C4—21no—
1457C4⋊C4—21no—
1458C4⋊C4—21no—
1459C4⋊C4—21no—
1460C4⋊C4—21no—
1461C4⋊C4—21no—
1462C4⋊C4—21no—
1463C4⋊C4—21no—
1464C4⋊C4—21no—
1465C4⋊C4—21no—
1466C4⋊C4C2×D4×C6111yescharacteristic
1467C4⋊C4C2×D4×C6111yescharacteristic
1468C4⋊C4C2×D4×C6111yescharacteristic
1469C4⋊C4C2×D4×C6111yescharacteristic
1470C4⋊C4C2×D4×C6111yescharacteristic
1471C4⋊C4C2×D4×C6111yescharacteristic
1472C4⋊C4C24×C6111yescharacteristic
1473C4⋊C4C24×C6111yescharacteristic
1474C4⋊C4C24×C6111yescharacteristic
1475C4⋊C4C24×C6111yescharacteristic
1476C4⋊C4C24×C6111yescharacteristic
1477C4⋊C4C24×C6111yescharacteristic
1478C4⋊C4C24×C6111yescharacteristic
1479C4⋊C4C24×C6111yescharacteristic
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⋊C4—21no—
1510C22⋊C4—21no—
1511C22⋊C4—21no—
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4C2×D4×C6111yescharacteristic
1515C22⋊C4C2×D4×C6111yescharacteristic
1516C22⋊C4C2×D4×C6111yescharacteristic
1517C22⋊C4C2×D4×C6111yescharacteristic
1518C22⋊C4C2×D4×C6111yescharacteristic
1519C22⋊C4C2×D4×C6111yescharacteristic
1520C42—21no—
1521C42—21no—
1522C42—21no—
1523C42—21no—
1524C42—21no—
1525C42—21no—
1526C42—21no—
1527C42—21no—
1528C42—21no—
1529C42—21no—
1530C42—21no—
1531C42—21no—
1532C42—21no—
1533C42—21no—
1534C42C2×D4×C6111yescharacteristic
1535C42C2×D4×C6111yescharacteristic
1536C42C2×D4×C6111yescharacteristic
1537C42C2×D4×C6111yescharacteristic
1538C42C2×D4×C6111yescharacteristic
1539C42C2×D4×C6111yescharacteristic
1540C42C24×C6111yescharacteristic
1541C42C24×C6111yescharacteristic
1542C42C24×C6111yescharacteristic
1543C42C24×C6111yescharacteristic
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—42no—
1549C23—42no—
1550C23—81no—
1551C23C22×D4×C6111yescharacteristic
1552C23C22×D4×C6111yescharacteristic
1553C23C22×D4×C6111yescharacteristic
1554Q8—21no—
1555Q8—21no—
1556Q8—21no—
1557Q8—21no—
1558Q8—21no—
1559Q8—21no—
1560Q8—21no—
1561Q8—41no—
1562Q8—42no—
1563Q8—42no—
1564Q8—81no—
1565Q8C2×#41×C6112yes—
1566D4—21no—
1567D4—21no—
1568D4—21no—
1569D4—21no—
1570D4—21no—
1571D4—21no—
1572D4—21no—
1573D4—41no—
1574D4—41no—
1575D4—41no—
1576D4—42no—
1577D4—42no—
1578D4—42no—
1579D4—42no—
1580D4—42no—
1581D4—42no—
1582D4—42no—
1583D4—42no—
1584D4—81no—
1585D4—81no—
1586D4—81no—
1587D4—81no—
1588D4—81no—
1589D4C2×#41×C6112yes—
1590C2×C4—21no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—41no—
1612C2×C4—41no—
1613C2×C4—41no—
1614C2×C4—42no—
1615C2×C4—42no—
1616C2×C4—42no—
1617C2×C4—42no—
1618C2×C4—42no—
1619C2×C4—42no—
1620C2×C4—42no—
1621C2×C4—42no—
1622C2×C4—42no—
1623C2×C4—42no—
1624C2×C4—42no—
1625C2×C4—42no—
1626C2×C4—81no—
1627C2×C4—81no—
1628C2×C4—81no—
1629C2×C4—81no—
1630C2×C4—81no—
1631C2×C4C22×D4×C6111yescharacteristic
1632C2×C4C22×D4×C6111yescharacteristic
1633C2×C4C22×D4×C6111yescharacteristic
1634C2×C4C22×D4×C6111yescharacteristic
1635C2×C4C22×D4×C6111yescharacteristic
1636C2×C4C22×D4×C6111yescharacteristic
1637C2×C4C22×D4×C6111yescharacteristic
1638C2×C4C22×D4×C6111yescharacteristic
1639C2×C4C22×D4×C6111yescharacteristic
1640C2×C4C22×D4×C6111yescharacteristic
1641C2×C4C22×D4×C6111yescharacteristic
1642C2×C4C25×C6111yescharacteristic
1643C8—21no—
1644C8—21no—
1645C8—21no—
1646C8—21no—
1647C8—21no—
1648C8—21no—
1649C8—21no—
1650C8C2×#41×C6112yes—
1651C22—21no—
1652C22—21no—
1653C22—21no—
1654C22—21no—
1655C22—21no—
1656C22—21no—
1657C22—21no—
1658C22—21no—
1659C22—21no—
1660C22—22no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—41no—
1665C22—41no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—84no—
1673C22C23×D4×C6111yescharacteristic
1674C4—21no—
1675C4—21no—
1676C4—21no—
1677C4—21no—
1678C4—21no—
1679C4—21no—
1680C4—21no—
1681C4—21no—
1682C4—21no—
1683C4—21no—
1684C4—22no—
1685C4—41no—
1686C4—41no—
1687C4—41no—
1688C4—41no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4C61×#57512yes—
1697C4C22×#41×C6111yescharacteristic
1698C4C61×#58511yescharacteristic
1699C2—41no—
1700C2—41no—
1701C2—41no—
1702C2—42no—
1703C2—81no—
1704C2—81no—
1705C2—81no—
1706C2D4×#41×C6111yescharacteristic
1707C2C2×C61×#57511yescharacteristic
1708C2C61×#358411yescharacteristic
subgroupG/H
centerC2×C4×C61C22×D4
commutator, Frattini, cosocleC2×C4C25×C61
socleC22×C61C23×D4
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C2×C4×C61 ◁ C4×#41×C61 ◁ G

Complements

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

NH ≅ G/Ntype
1. C61×#3480C2semidirect
2. C61×#3475C2semidirect
3. C61×#3401C2semidirect
4. C61×#3388C2semidirect
5. C61×#3377C2semidirect
6. C61×#3370C2semidirect
7. C61×#3351C2semidirect
8. C61×#3349C2semidirect
9. C61×#3347C2semidirect
10. C61×#3327C2semidirect
11. C61×#3322C2semidirect
12. C61×#3321C2semidirect
13. C61×#3317C2semidirect
14. C61×#3311C2semidirect
15. C61×#3307C2semidirect
16. C61×#3275C2semidirect
17. C61×#3269C2semidirect
18. C61×#3268C2semidirect
19. C61×#3172C2semidirect
20. C61×#3171C2semidirect
21. C61×#3168C2semidirect
22. C61×#3108C2semidirect
23. C61×#3107C2semidirect
24. C61×#3106C2semidirect
25. C61×#3105C2semidirect
26. C61×#3102C2semidirect
27. C61×#3102C2semidirect
28. C61×#2965C2semidirect
29. C4×#137×C61C2semidirect
30. C4×AGL(1,ℤ/8)×C61C2semidirect
31. C4×#135×C61C2semidirect
36. C61×#559C22semidirect
37. C61×#557C22semidirect
47. C61×#553C22semidirect
55. C61×#548C22semidirect
61. C61×#532C22semidirect
69. C61×#529C22semidirect
76. C4×#41×C61C22semidirect
77. C2×C4×Q8×C61C22semidirect
80. C61×#501C22semidirect
81. C61×#501C22semidirect
82. C61×#499C22semidirect
83. C61×#497C22semidirect
86. C61×#491C22semidirect
87. C61×#490C22semidirect
89. C61×#489C22semidirect
91. C61×#488C22semidirect
94. C61×#485C22semidirect
95. C61×#485C22semidirect
97. C61×#483C22semidirect
99. C61×#482C22semidirect
100. C61×#482C22semidirect
101. C61×#482C22semidirect
104. C61×#479C22semidirect
105. C61×#479C22semidirect
106. C61×#479C22semidirect
107. C61×#479C22semidirect
111. C61×#478C22semidirect
112. C61×#477C22semidirect
114. C61×#475C22semidirect
115. C61×#474C22semidirect
122. C61×#468C22semidirect
123. C61×#468C22semidirect
124. C61×#467C22semidirect
127. C61×#465C22semidirect
131. C61×#464C22semidirect
136. C61×#462C22semidirect
137. C61×#461C22semidirect
138. C61×#460C22semidirect
143. C61×#452C22semidirect
144. C61×#451C22semidirect
152. C61×#446C22semidirect
153. C61×#446C22semidirect
156. C61×#441C22semidirect
157. C61×#441C22semidirect
162. C4×Q16×C61C22semidirect
163. C4×Q16×C61C22semidirect
164. C4×Q16×C61C22semidirect
165. C4×Q16×C61C22semidirect
166. C4×Q16×C61C22semidirect
172. C4×SD16×C61C22semidirect
173. C4×SD16×C61C22semidirect
174. C4×SD16×C61C22semidirect
175. C4×SD16×C61C22semidirect
176. C4×SD16×C61C22semidirect
186. C61×#435C22semidirect
187. C61×#435C22semidirect
189. C61×#431C22semidirect
190. C61×#431C22semidirect
192. C61×#428C22semidirect
193. C61×#427C22semidirect
194. C61×#419C22semidirect
199. C61×#416C22semidirect
201. C4×M16×C61C22semidirect
202. C2×C4×C8×C61C22semidirect
562. SD16×C61#41semidirect
796. #61441C61direct (N × H)
845. #3480C2×C61semidirect
846. #3475C2×C61semidirect
847. #3401C2×C61semidirect
848. #3388C2×C61semidirect
849. #3377C2×C61semidirect
850. #3370C2×C61semidirect
851. #3351C2×C61semidirect
852. #3349C2×C61semidirect
853. #3347C2×C61semidirect
854. #3327C2×C61semidirect
855. #3322C2×C61semidirect
856. #3321C2×C61semidirect
857. #3317C2×C61semidirect
858. #3311C2×C61semidirect
859. #3307C2×C61semidirect
860. #3275C2×C61semidirect
861. #3269C2×C61semidirect
862. #3268C2×C61semidirect
863. #3172C2×C61semidirect
864. #3171C2×C61semidirect
865. #3168C2×C61semidirect
866. #3108C2×C61semidirect
867. #3107C2×C61semidirect
868. #3106C2×C61semidirect
869. #3105C2×C61semidirect
870. #3102C2×C61semidirect
871. #3102C2×C61semidirect
872. #2965C2×C61semidirect
873. C4×#137C2×C61semidirect
874. C4×AGL(1,ℤ/8)C2×C61semidirect
875. C4×#135C2×C61semidirect
890. #559C22×C61semidirect
891. #557C22×C61semidirect
901. #553C22×C61semidirect
909. #548C22×C61semidirect
915. #532C22×C61semidirect
923. #529C22×C61semidirect
930. C4×#41C22×C61semidirect
931. C2×C4×Q8C22×C61semidirect
934. #501C22×C61semidirect
935. #501C22×C61semidirect
936. #499C22×C61semidirect
937. #497C22×C61semidirect
940. #491C22×C61semidirect
941. #490C22×C61semidirect
943. #489C22×C61semidirect
945. #488C22×C61semidirect
948. #485C22×C61semidirect
949. #485C22×C61semidirect
951. #483C22×C61semidirect
953. #482C22×C61semidirect
954. #482C22×C61semidirect
955. #482C22×C61semidirect
958. #479C22×C61semidirect
959. #479C22×C61semidirect
960. #479C22×C61semidirect
961. #479C22×C61semidirect
965. #478C22×C61semidirect
966. #477C22×C61semidirect
968. #475C22×C61semidirect
969. #474C22×C61semidirect
976. #468C22×C61semidirect
977. #468C22×C61semidirect
978. #467C22×C61semidirect
981. #465C22×C61semidirect
985. #464C22×C61semidirect
990. #462C22×C61semidirect
991. #461C22×C61semidirect
992. #460C22×C61semidirect
997. #452C22×C61semidirect
998. #451C22×C61semidirect
1006. #446C22×C61semidirect
1007. #446C22×C61semidirect
1010. #441C22×C61semidirect
1011. #441C22×C61semidirect
1016. C4×Q16C22×C61semidirect
1017. C4×Q16C22×C61semidirect
1018. C4×Q16C22×C61semidirect
1019. C4×Q16C22×C61semidirect
1020. C4×Q16C22×C61semidirect
1026. C4×SD16C22×C61semidirect
1027. C4×SD16C22×C61semidirect
1028. C4×SD16C22×C61semidirect
1029. C4×SD16C22×C61semidirect
1030. C4×SD16C22×C61semidirect
1040. #435C22×C61semidirect
1041. #435C22×C61semidirect
1043. #431C22×C61semidirect
1044. #431C22×C61semidirect
1046. #428C22×C61semidirect
1047. #427C22×C61semidirect
1048. #419C22×C61semidirect
1053. #416C22×C61semidirect
1055. C4×M16C22×C61semidirect
1056. C2×C4×C8C22×C61semidirect
1057. C61#61441direct (N × H)
1417. SD16#41×C61semidirect

Maximal subgroups

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

subgroupindex
C61×#34802
C61×#34752
C61×#34012
C61×#33882
C61×#33772
C61×#33702
C61×#33512
C61×#33492
C61×#33472
C61×#33272
C61×#33222
C61×#33212
C61×#33172
C61×#33112
C61×#33072
C61×#32752
C61×#32692
C61×#32682
C61×#31722
C61×#31712
C61×#31682
C61×#31082
C61×#31072
C61×#31062
C61×#31052
C61×#31022
C61×#29652
C4×#137×C612
C4×AGL(1,ℤ/8)×C612
C4×#135×C612
#6144161