Finite Group Databasebeta

← C61×#62014 #29565447

Subgroups — C61×#62014 #29565447

Order 15616.

1846 conjugacy classes of subgroups.

The subgroup lattice has 1786 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C61×#3562C211yesmaximal, characteristic, complemented
2C61×#3517C211yesmaximal, characteristic, complemented
3C61×#3399C211yesmaximal, characteristic, complemented
4C61×#3397C211yesmaximal, characteristic, complemented
5C61×#3377C211yesmaximal, characteristic, complemented
6C61×#3371C211yesmaximal, characteristic, complemented
7C61×#3309C211yesmaximal, characteristic, complemented
8C61×#3308C211yesmaximal, characteristic, complemented
9C61×#3307C211yesmaximal, characteristic, complemented
10C61×#3306C211yesmaximal, characteristic, complemented
11C61×#3301C211yesmaximal, characteristic, complemented
12C61×#3297C211yesmaximal, characteristic, complemented
13C61×#3287C211yesmaximal, characteristic, complemented
14C61×#3284C211yesmaximal, characteristic, complemented
15C61×#3271C211yesmaximal, characteristic, complemented
16C61×#3271C211yesmaximal, characteristic, complemented
17C61×#3268C211yesmaximal, characteristic, complemented
18C61×#3268C211yesmaximal, characteristic, complemented
19C61×#3260C211yesmaximal, characteristic, complemented
20C61×#3259C211yesmaximal, characteristic, complemented
21C61×#3247C211yesmaximal, characteristic, complemented
22C61×#3221C211yesmaximal, characteristic, complemented
23C61×#3220C211yesmaximal, characteristic, complemented
24C61×#3214C211yesmaximal, characteristic, complemented
25C61×#3120C211yesmaximal, characteristic, complemented
26C61×#3119C211yesmaximal, characteristic, complemented
27C61×#3111C211yesmaximal, characteristic, complemented
28C61×#3046C211yesmaximal, characteristic, complemented
29C61×#3045C211yesmaximal, characteristic, complemented
30C61×#3035C211yesmaximal, characteristic, complemented
31C61×#2992C211yesmaximal, characteristic, complemented
32C2×#137×C61C2211yescharacteristic, complemented
33C2×AGL(1,ℤ/8)×C61C2211yescharacteristic
34C2×#135×C61C2211yescharacteristic
35C2×#135×C61C2211yescharacteristic
36C2×#135×C61C2211yescharacteristic
37C2×#135×C61C2211yescharacteristic, complemented
38C61×#562—21no—
39C61×#560—21no—
40C61×#559C2211yescharacteristic
41C61×#557C2211yescharacteristic, complemented
42C61×#556C2211yescharacteristic
43C61×#553—21no—
44C61×#553—21no—
45C61×#553—21no—
46C61×#553C2211yescharacteristic
47C61×#553C2211yescharacteristic, complemented
48C61×#551—21no—
49C61×#550—21no—
50C61×#550C2211yescharacteristic
51C61×#550C2211yescharacteristic
52C61×#550C2211yescharacteristic
53C61×#550C2211yescharacteristic, complemented
54C61×#550C2211yescharacteristic, complemented
55C61×#548C2211yescharacteristic
56C61×#548C2211yescharacteristic
57C61×#547—21no—
58C61×#547C2211yescharacteristic
59C61×#547C2211yescharacteristic
60C61×#546C2211yescharacteristic
61C61×#546C2211yescharacteristic
62C61×#541C2211yescharacteristic
63C61×#540—21no—
64C61×#540—21no—
65C61×#540—21no—
66C61×#540C2211yescharacteristic
67C61×#540C2211yescharacteristic
68C61×#540C2211yescharacteristic, complemented
69C61×#539—21no—
70C61×#538—21no—
71C61×#538—21no—
72C61×#536C2211yescharacteristic
73C61×#535C2211yescharacteristic
74C61×#532—21no—
75C61×#532C2211yescharacteristic
76C61×#532C2211yescharacteristic, complemented
77C61×#529—21no—
78C61×#529C2211yescharacteristic
79C61×#529C2211yescharacteristic
80C61×#520C2211yescharacteristic
81C61×#520C2211yescharacteristic, complemented
82C4×#41×C61C2211yescharacteristic, complemented
83C61×#496C2211yescharacteristic
84C61×#496C2211yescharacteristic
85C61×#496C2211yescharacteristic
86C61×#496C2211yescharacteristic, complemented
87C61×#493C2211yescharacteristic
88C61×#492C2211yescharacteristic, complemented
89C61×#491C2211yescharacteristic, complemented
90C61×#490C2211yescharacteristic
91C61×#489C2211yescharacteristic
92C61×#489C2211yescharacteristic, complemented
93C61×#488C2211yescharacteristic
94C61×#488C2211yescharacteristic
95C61×#485C2211yescharacteristic, complemented
96C61×#484C2211yescharacteristic
97C61×#483C2211yescharacteristic
98C61×#482C2211yescharacteristic
99C61×#481C2211yescharacteristic
100C61×#480C2211yescharacteristic, complemented
101C61×#479C2211yescharacteristic, complemented
102C61×#479C2211yescharacteristic, complemented
103C61×#479C2211yescharacteristic, complemented
104C61×#478C2211yescharacteristic
105C61×#478C2211yescharacteristic, complemented
106C61×#478C2211yescharacteristic, complemented
107C61×#478C2211yescharacteristic, complemented
108C61×#478C2211yescharacteristic, complemented
109C61×#477C2211yescharacteristic, complemented
110C61×#476C2211yescharacteristic
111C61×#469C2211yescharacteristic
112C61×#469C2211yescharacteristic, complemented
113C61×#468C2211yescharacteristic
114C61×#468C2211yescharacteristic
115C61×#466C2211yescharacteristic
116C61×#466C2211yescharacteristic
117C61×#466C2211yescharacteristic
118C61×#466C2211yescharacteristic, complemented
119C61×#465C2211yescharacteristic
120C61×#465C2211yescharacteristic
121C61×#465C2211yescharacteristic, complemented
122C61×#465C2211yescharacteristic, complemented
123C61×#464C2211yescharacteristic
124C61×#464C2211yescharacteristic
125C61×#464C2211yescharacteristic
126C61×#464C2211yescharacteristic
127C61×#464C2211yescharacteristic, complemented
128C61×#463C2211yescharacteristic
129C61×#463C2211yescharacteristic
130C61×#463C2211yescharacteristic
131C61×#463C2211yescharacteristic
132C61×#463C2211yescharacteristic
133C61×#463C2211yescharacteristic
134C61×#463C2211yescharacteristic, complemented
135C61×#462C2211yescharacteristic, complemented
136C61×#462C2211yescharacteristic, complemented
137C61×#461C2211yescharacteristic, complemented
138C61×#461C2211yescharacteristic, complemented
139C61×#461C2211yescharacteristic, complemented
140C61×#461C2211yescharacteristic, complemented
141C61×#460C2211yescharacteristic
142C61×#460C2211yescharacteristic
143C61×#460C2211yescharacteristic, complemented
144C61×#460C2211yescharacteristic, complemented
145C61×#460C2211yescharacteristic, complemented
146C61×#459C2211yescharacteristic
147C61×#459C2211yescharacteristic
148C61×#459C2211yescharacteristic
149C61×#459C2211yescharacteristic
150C61×#459C2211yescharacteristic
151C61×#459C2211yescharacteristic
152C61×#459C2211yescharacteristic, complemented
153C61×#452C2211yescharacteristic
154C61×#452C2211yescharacteristic
155C61×#452C2211yescharacteristic, complemented
156C61×#449C2211yescharacteristic
157C61×#449C2211yescharacteristic
158C61×#449C2211yescharacteristic
159C61×#449C2211yescharacteristic
160C61×#449C2211yescharacteristic
161C61×#449C2211yescharacteristic
162C61×#449C2211yescharacteristic
163C61×#449C2211yescharacteristic
164C61×#449C2211yescharacteristic, complemented
165C61×#449C2211yescharacteristic, complemented
166C61×#449C2211yescharacteristic, complemented
167C61×#448C2211yescharacteristic, complemented
168C61×#448C2211yescharacteristic, complemented
169C61×#447C2211yescharacteristic
170C61×#447C2211yescharacteristic
171C61×#446C2211yescharacteristic, complemented
172C61×#446C2211yescharacteristic, complemented
173C61×#442C2211yescharacteristic
174C61×#442C2211yescharacteristic, complemented
175C61×#441C2211yescharacteristic, complemented
176C61×#441C2211yescharacteristic, complemented
177C61×#440C2211yescharacteristic
178C61×#440C2211yescharacteristic
179C61×#440C2211yescharacteristic, complemented
180C61×#440C2211yescharacteristic, complemented
181C4×Q16×C61C2211yescharacteristic, complemented
182C4×SD16×C61C2211yescharacteristic, complemented
183C4×SD16×C61C2211yescharacteristic, complemented
184C4×D8×C61C2211yescharacteristic
185C61×#435C2211yescharacteristic
186C61×#435C2211yescharacteristic
187C61×#435C2211yescharacteristic
188C61×#435C2211yescharacteristic, complemented
189C8×D4×C61C2211yescharacteristic
190C8×D4×C61C2211yescharacteristic, complemented
191C61×#433C2211yescharacteristic
192C61×#433C2211yescharacteristic, complemented
193C61×#432C2211yescharacteristic, complemented
194C61×#424C2211yescharacteristic
195C61×#424C2211yescharacteristic, complemented
196C2×C4⋊C8×C61C2211yescharacteristic, complemented
197C61×#417C2211yescharacteristic
198C61×#417C2211yescharacteristic
199C61×#416C2211yescharacteristic
200C61×#416C2211yescharacteristic, complemented
201C2×#103×C61C2211yescharacteristic, complemented
202C2×#102×C61C2211yescharacteristic
203C2×#41×C61—21no—
204C2×#41×C61—21no—
205C2×#41×C61—21no—
206C2×#41×C61C2311yescharacteristic
207C2×#41×C61C2311yescharacteristic
208C2×#41×C61C2311yescharacteristic
209C2×#41×C61C2311yescharacteristic
210C2×#41×C61C2311yescharacteristic
211C2×#41×C61C2311yescharacteristic
212C2×#41×C61C2311yescharacteristic
213C22×Q8×C61C2311yescharacteristic
214C22×D4×C61C2311yescharacteristic
215#137×C61—42no—
216AGL(1,ℤ/8)×C61—42no—
217#135×C61—42no—
218#135×C61—42no—
219#135×C61—42no—
220#135×C61—42no—
221C2×Q16×C61C2311yescharacteristic
222C2×Q16×C61C2311yescharacteristic
223C2×Q16×C61C2311yescharacteristic
224C2×SD16×C61C2311yescharacteristic
225C2×SD16×C61C2311yescharacteristic
226C2×SD16×C61C2311yescharacteristic
227C2×SD16×C61C2311yescharacteristic
228C2×SD16×C61C2311yescharacteristic
229C2×SD16×C61C2311yescharacteristic
230C2×SD16×C61C2311yescharacteristic
231C2×SD16×C61C2311yescharacteristic
232C2×SD16×C61C2311yescharacteristic
233C2×SD16×C61C2311yescharacteristic
234C2×SD16×C61C2311yescharacteristic
235C2×SD16×C61C2311yescharacteristic
236C2×D8×C61C2311yescharacteristic
237C2×D8×C61C2311yescharacteristic
238C2×D8×C61C2311yescharacteristic
239C2×D8×C61C2311yescharacteristic
240C2×D8×C61C2311yescharacteristic
241C2×D8×C61C2311yescharacteristic
242C2×D8×C61C2311yescharacteristic
243C2×D8×C61C2311yescharacteristic
244C2×D8×C61C2311yescharacteristic
245C2×M16×C61C2311yescharacteristic
246C2×M16×C61C2311yescharacteristic
247C22×C8×C61C2311yescharacteristic
248C22×C8×C61C2311yescharacteristic
249C22×C8×C61C2311yescharacteristic
250C22×C8×C61C2311yescharacteristic
251C4⋊Q8×C61—21no—
252C4⋊Q8×C61C2311yescharacteristic
253C4⋊Q8×C61C2311yescharacteristic
254C4⋊Q8×C61C2311yescharacteristic
255#127×C61—21no—
256#127×C61—21no—
257#127×C61—21no—
258#127×C61—21no—
259#127×C61C2311yescharacteristic
260#127×C61C2311yescharacteristic
261#127×C61C2311yescharacteristic
262#127×C61C2311yescharacteristic
263#127×C61C2311yescharacteristic
264#126×C61—21no—
265#126×C61—21no—
266#126×C61—21no—
267#126×C61—21no—
268#126×C61—21no—
269#126×C61—21no—
270#126×C61—21no—
271#126×C61D411yescharacteristic
272#126×C61D411yescharacteristic
273#125×C61—21no—
274#125×C61—21no—
275#125×C61—21no—
276#125×C61—21no—
277#125×C61D411yescharacteristic
278#125×C61C2311yescharacteristic
279#125×C61C2311yescharacteristic
280#125×C61C2311yescharacteristic
281#124×C61—21no—
282#124×C61—21no—
283#124×C61—21no—
284#124×C61—21no—
285#124×C61D411yescharacteristic
286#124×C61C2311yescharacteristic
287#124×C61C2311yescharacteristic
288#124×C61C2311yescharacteristic
289#124×C61C2311yescharacteristic
290#124×C61C2311yescharacteristic
291#123×C61—21no—
292#123×C61—21no—
293#123×C61—21no—
294#123×C61—21no—
295#123×C61—21no—
296#123×C61—21no—
297#123×C61—21no—
298#123×C61—21no—
299#123×C61—21no—
300#123×C61—21no—
301#123×C61—21no—
302#123×C61—21no—
303#123×C61—21no—
304#123×C61—21no—
305#123×C61—21no—
306#123×C61—21no—
307#123×C61—21no—
308#123×C61—21no—
309#123×C61—21no—
310#123×C61D411yescharacteristic
311#123×C61D411yescharacteristic
312C22⋊Q8×C61—21no—
313C22⋊Q8×C61—21no—
314C22⋊Q8×C61—21no—
315C22⋊Q8×C61—21no—
316C22⋊Q8×C61—21no—
317C22⋊Q8×C61—21no—
318C22⋊Q8×C61D411yescharacteristic
319C22⋊Q8×C61C2311yescharacteristic
320C22⋊Q8×C61C2311yescharacteristic
321C22⋊Q8×C61C2311yescharacteristic
322#121×C61—21no—
323#121×C61—21no—
324#121×C61—21no—
325#121×C61—21no—
326#121×C61—21no—
327#121×C61—21no—
328#121×C61—21no—
329#121×C61—21no—
330#121×C61—21no—
331#121×C61—21no—
332#121×C61—21no—
333#121×C61—21no—
334#121×C61—21no—
335#121×C61—21no—
336#121×C61—21no—
337#121×C61—21no—
338#121×C61—21no—
339#121×C61—21no—
340#121×C61—21no—
341#121×C61—21no—
342#121×C61—21no—
343#121×C61—21no—
344#121×C61—21no—
345#121×C61—21no—
346#121×C61—21no—
347#121×C61—21no—
348#121×C61—21no—
349#121×C61—21no—
350#121×C61—21no—
351#121×C61D411yescharacteristic
352#121×C61C2311yescharacteristic
353#121×C61C2311yescharacteristic
354#121×C61C2311yescharacteristic
355#121×C61C2311yescharacteristic
356#121×C61C2311yescharacteristic
357#121×C61C2311yescharacteristic
358#121×C61C2311yescharacteristic
359#121×C61C2311yescharacteristic
360#121×C61C2311yescharacteristic
361#120×C61—21no—
362#120×C61—21no—
363#120×C61—21no—
364#120×C61—21no—
365C4×Q8×C61—21no—
366C4×Q8×C61C2311yescharacteristic
367C4×Q8×C61C2311yescharacteristic
368C4×Q8×C61C2311yescharacteristic
369C4×Q8×C61C2311yescharacteristic
370C4×Q8×C61C2311yescharacteristic
371C4×Q8×C61C2311yescharacteristic
372C4×Q8×C61C2311yescharacteristic
373C4×Q8×C61C2311yescharacteristic
374C4×D4×C61—21no—
375C4×D4×C61—21no—
376C4×D4×C61—21no—
377C4×D4×C61—21no—
378C4×D4×C61—21no—
379C4×D4×C61—21no—
380C4×D4×C61—21no—
381C4×D4×C61—21no—
382C4×D4×C61—21no—
383C4×D4×C61—21no—
384C4×D4×C61—21no—
385C4×D4×C61—21no—
386C4×D4×C61—21no—
387C4×D4×C61—21no—
388C4×D4×C61—21no—
389C4×D4×C61—21no—
390C4×D4×C61—21no—
391C4×D4×C61—21no—
392C4×D4×C61—21no—
393C4×D4×C61C2311yescharacteristic
394C4×D4×C61C2311yescharacteristic
395C4×D4×C61C2311yescharacteristic
396C4×D4×C61C2311yescharacteristic
397C4×D4×C61C2311yescharacteristic
398C4×D4×C61C2311yescharacteristic
399C4×D4×C61C2311yescharacteristic
400C4×D4×C61C2311yescharacteristic
401C4×D4×C61C2311yescharacteristic
402C4×D4×C61C2311yescharacteristic
403C4×D4×C61C2311yescharacteristic
404C4×D4×C61C2311yescharacteristic
405#117×C61—21no—
406#117×C61—21no—
407#117×C61—21no—
408#117×C61—21no—
409#117×C61—21no—
410#117×C61C2311yescharacteristic
411#117×C61C2311yescharacteristic
412#117×C61C2311yescharacteristic
413C2×C4⋊C4×C61—21no—
414C2×C4⋊C4×C61—21no—
415C2×C4⋊C4×C61—21no—
416C2×C4⋊C4×C61C2311yescharacteristic
417C2×C4⋊C4×C61C2311yescharacteristic
418C2×C22⋊C4×C61—21no—
419C2×C22⋊C4×C61—21no—
420C2×C42×C61—21no—
421C2×C42×C61C2311yescharacteristic
422#107×C61C2311yescharacteristic
423#107×C61C2311yescharacteristic
424#107×C61C2311yescharacteristic
425#107×C61C2311yescharacteristic
426#106×C61C2311yescharacteristic
427#106×C61C2311yescharacteristic
428#106×C61C2311yescharacteristic
429#106×C61C2311yescharacteristic
430C4⋊C8×C61C2311yescharacteristic
431C4⋊C8×C61C2311yescharacteristic
432C4⋊C8×C61C2311yescharacteristic
433C4⋊C8×C61C2311yescharacteristic
434C4⋊C8×C61C2311yescharacteristic
435C4⋊C8×C61C2311yescharacteristic
436C4⋊C8×C61C2311yescharacteristic
437C4⋊C8×C61C2311yescharacteristic
438C4⋊C8×C61C2311yescharacteristic
439C4⋊C8×C61C2311yescharacteristic
440#103×C61C2311yescharacteristic
441#103×C61C2311yescharacteristic
442#103×C61C2311yescharacteristic
443#103×C61C2311yescharacteristic
444#103×C61C2311yescharacteristic
445#103×C61C2311yescharacteristic
446#103×C61C2311yescharacteristic
447#103×C61C2311yescharacteristic
448#103×C61C2311yescharacteristic
449#103×C61C2311yescharacteristic
450#103×C61C2311yescharacteristic
451#103×C61C2311yescharacteristic
452#103×C61C2311yescharacteristic
453#103×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
465#102×C61C2311yescharacteristic
466#102×C61C2311yescharacteristic
467#102×C61C2311yescharacteristic
468#102×C61C2311yescharacteristic
469#102×C61C2311yescharacteristic
470#102×C61C2311yescharacteristic
471#102×C61C2311yescharacteristic
472C22⋊C8×C61C2311yescharacteristic
473C22⋊C8×C61C2311yescharacteristic
474C22⋊C8×C61C2311yescharacteristic
475C22⋊C8×C61C2311yescharacteristic
476C22⋊C8×C61C2311yescharacteristic
477C22⋊C8×C61C2311yescharacteristic
478#97×C61C2311yescharacteristic
479#97×C61C2311yescharacteristic
480#97×C61C2311yescharacteristic
481#97×C61C2311yescharacteristic
482C4×C8×C61C2311yescharacteristic
483C4×C8×C61C2311yescharacteristic
484C24×C61—21no—
485#41×C61—22no—
486#41×C61—22no—
487#41×C61—22no—
488#41×C61—41no—
489#41×C61—41no—
490#41×C61—41no—
491#41×C61—41no—
492#41×C61—41no—
493#41×C61—41no—
494#41×C61—41no—
495#41×C61—41no—
496#41×C61—41no—
497#41×C61—41no—
498#41×C61—41no—
499#41×C61—82no—
500#41×C61—82no—
501#41×C61—82no—
502C2×Q8×C61—21no—
503C2×Q8×C61—21no—
504C2×Q8×C61—41no—
505C2×Q8×C61—41no—
506C2×Q8×C61C2×D411yescharacteristic
507C2×Q8×C61C2411yescharacteristic
508C2×Q8×C61C2411yescharacteristic
509C2×Q8×C61C2411yescharacteristic
510C2×Q8×C61C2411yescharacteristic
511C2×D4×C61—21no—
512C2×D4×C61—21no—
513C2×D4×C61—21no—
514C2×D4×C61—21no—
515C2×D4×C61—21no—
516C2×D4×C61—21no—
517C2×D4×C61—21no—
518C2×D4×C61—21no—
519C2×D4×C61—21no—
520C2×D4×C61—21no—
521C2×D4×C61—21no—
522C2×D4×C61—21no—
523C2×D4×C61—21no—
524C2×D4×C61—21no—
525C2×D4×C61—21no—
526C2×D4×C61—21no—
527C2×D4×C61—21no—
528C2×D4×C61—21no—
529C2×D4×C61—21no—
530C2×D4×C61—21no—
531C2×D4×C61—21no—
532C2×D4×C61—21no—
533C2×D4×C61—21no—
534C2×D4×C61—21no—
535C2×D4×C61—21no—
536C2×D4×C61—21no—
537C2×D4×C61—21no—
538C2×D4×C61—41no—
539C2×D4×C61—41no—
540C2×D4×C61C2×D411yescharacteristic
541C2×D4×C61C2×D411yescharacteristic
542C2×D4×C61C2×D411yescharacteristic
543C2×D4×C61C2411yescharacteristic
544C2×D4×C61C2411yescharacteristic
545C2×D4×C61C2411yescharacteristic
546C2×D4×C61C2411yescharacteristic
547C2×D4×C61C2411yescharacteristic
548C2×D4×C61C2411yescharacteristic
549C22×C4×C61—21no—
550C22×C4×C61—21no—
551C22×C4×C61—21no—
552C22×C4×C61—21no—
553C22×C4×C61—21no—
554C22×C4×C61—21no—
555C22×C4×C61—21no—
556C22×C4×C61—21no—
557C22×C4×C61—21no—
558C22×C4×C61—21no—
559C22×C4×C61—21no—
560C22×C4×C61—21no—
561C22×C4×C61—21no—
562C22×C4×C61—21no—
563C22×C4×C61—21no—
564C22×C4×C61—21no—
565C22×C4×C61—21no—
566C22×C4×C61—21no—
567C22×C4×C61—21no—
568C22×C4×C61C2×D411yescharacteristic
569C22×C4×C61C2×D411yescharacteristic
570C22×C4×C61C2411yescharacteristic
571C22×C4×C61C2411yescharacteristic
572C22×C4×C61C2411yescharacteristic
573Q16×C61—22no—
574Q16×C61—22no—
575Q16×C61—22no—
576SD16×C61—22no—
577SD16×C61—22no—
578SD16×C61—22no—
579SD16×C61—41no—
580SD16×C61—41no—
581SD16×C61—41no—
582SD16×C61—41no—
583SD16×C61—41no—
584SD16×C61—41no—
585SD16×C61—41no—
586SD16×C61—41no—
587SD16×C61—41no—
588D8×C61—41no—
589D8×C61—41no—
590D8×C61—41no—
591D8×C61—41no—
592D8×C61—41no—
593D8×C61—41no—
594D8×C61—41no—
595D8×C61—41no—
596D8×C61—41no—
597M16×C61—41no—
598M16×C61—41no—
599C2×C8×C61—41no—
600C2×C8×C61—41no—
601C2×C8×C61—41no—
602C2×C8×C61—41no—
603C2×C8×C61C2411yescharacteristic
604C2×C8×C61C2411yescharacteristic
605C2×C8×C61C2411yescharacteristic
606C2×C8×C61C2411yescharacteristic
607C2×C8×C61C2411yescharacteristic
608C2×C8×C61C2411yescharacteristic
609C2×C8×C61C2411yescharacteristic
610C2×C8×C61C2411yescharacteristic
611C4⋊C4×C61—21no—
612C4⋊C4×C61—21no—
613C4⋊C4×C61—21no—
614C4⋊C4×C61—21no—
615C4⋊C4×C61—21no—
616C4⋊C4×C61—21no—
617C4⋊C4×C61—21no—
618C4⋊C4×C61—21no—
619C4⋊C4×C61—21no—
620C4⋊C4×C61—21no—
621C4⋊C4×C61—21no—
622C4⋊C4×C61—21no—
623C4⋊C4×C61—21no—
624C4⋊C4×C61—21no—
625C4⋊C4×C61—21no—
626C4⋊C4×C61—21no—
627C4⋊C4×C61—21no—
628C4⋊C4×C61—21no—
629C4⋊C4×C61—21no—
630C4⋊C4×C61—21no—
631C4⋊C4×C61—21no—
632C4⋊C4×C61—21no—
633C4⋊C4×C61—21no—
634C4⋊C4×C61C2×D411yescharacteristic
635C4⋊C4×C61C2×D411yescharacteristic
636C4⋊C4×C61C2×D411yescharacteristic
637C4⋊C4×C61C2×D411yescharacteristic
638C4⋊C4×C61C2×D411yescharacteristic
639C4⋊C4×C61C2×D411yescharacteristic
640C4⋊C4×C61C2×D411yescharacteristic
641C4⋊C4×C61C2×D411yescharacteristic
642C4⋊C4×C61C2×D411yescharacteristic
643C4⋊C4×C61C2×D411yescharacteristic
644C4⋊C4×C61C2411yescharacteristic
645C4⋊C4×C61C2411yescharacteristic
646C4⋊C4×C61C2411yescharacteristic
647C4⋊C4×C61C2411yescharacteristic
648C4⋊C4×C61C2411yescharacteristic
649C4⋊C4×C61C2411yescharacteristic
650C22⋊C4×C61—21no—
651C22⋊C4×C61—21no—
652C22⋊C4×C61—21no—
653C22⋊C4×C61—21no—
654C22⋊C4×C61—21no—
655C22⋊C4×C61—21no—
656C22⋊C4×C61—21no—
657C22⋊C4×C61—21no—
658C22⋊C4×C61—21no—
659C22⋊C4×C61—21no—
660C22⋊C4×C61—21no—
661C22⋊C4×C61—21no—
662C22⋊C4×C61—21no—
663C22⋊C4×C61—21no—
664C22⋊C4×C61—21no—
665C22⋊C4×C61—21no—
666C22⋊C4×C61—21no—
667C22⋊C4×C61—21no—
668C22⋊C4×C61—21no—
669C22⋊C4×C61—21no—
670C22⋊C4×C61—21no—
671C22⋊C4×C61—21no—
672C22⋊C4×C61—21no—
673C22⋊C4×C61—21no—
674C22⋊C4×C61—21no—
675C22⋊C4×C61—21no—
676C22⋊C4×C61—21no—
677C22⋊C4×C61—21no—
678C22⋊C4×C61—21no—
679C22⋊C4×C61—21no—
680C22⋊C4×C61—21no—
681C22⋊C4×C61—21no—
682C22⋊C4×C61C2×D411yescharacteristic
683C22⋊C4×C61C2×D411yescharacteristic
684C22⋊C4×C61C2×D411yescharacteristic
685C22⋊C4×C61C2×D411yescharacteristic
686C22⋊C4×C61C2×D411yescharacteristic
687C22⋊C4×C61C2×D411yescharacteristic
688C22⋊C4×C61C2×D411yescharacteristic
689C22⋊C4×C61C2×D411yescharacteristic
690C22⋊C4×C61C2×D411yescharacteristic
691C22⋊C4×C61C2×D411yescharacteristic
692C42×C61—21no—
693C42×C61—21no—
694C42×C61—21no—
695C42×C61—21no—
696C42×C61—21no—
697C42×C61—21no—
698C42×C61—21no—
699C42×C61—21no—
700C42×C61C2×D411yescharacteristic
701C42×C61C2×D411yescharacteristic
702C42×C61C2411yescharacteristic
703C42×C61C2411yescharacteristic
704C42×C61C2411yescharacteristic
705C42×C61C2411yescharacteristic
706C23×C61—21no—
707C23×C61—21no—
708C23×C61—21no—
709C23×C61—21no—
710C23×C61—21no—
711C23×C61—21no—
712C23×C61—81no—
713C23×C61—81no—
714C23×C61—81no—
715C23×C61C22×D411yescharacteristic
716C23×C61C22×D411yescharacteristic
717C23×C61C22×D411yescharacteristic
718Q8×C61—21no—
719Q8×C61—21no—
720Q8×C61—21no—
721Q8×C61—21no—
722Q8×C61—21no—
723Q8×C61—21no—
724Q8×C61—21no—
725Q8×C61—41no—
726Q8×C61—42no—
727Q8×C61—81no—
728Q8×C61H(5,𝔽2)12yes—
729D4×C61—21no—
730D4×C61—21no—
731D4×C61—21no—
732D4×C61—21no—
733D4×C61—21no—
734D4×C61—21no—
735D4×C61—21no—
736D4×C61—21no—
737D4×C61—21no—
738D4×C61—21no—
739D4×C61—21no—
740D4×C61—21no—
741D4×C61—41no—
742D4×C61—41no—
743D4×C61—41no—
744D4×C61—42no—
745D4×C61—42no—
746D4×C61—42no—
747D4×C61—42no—
748D4×C61—81no—
749D4×C61—81no—
750D4×C61—81no—
751D4×C61—81no—
752D4×C61—81no—
753D4×C61—81no—
754D4×C61—81no—
755D4×C61—81no—
756D4×C61—81no—
757D4×C61—81no—
758D4×C61—81no—
759D4×C61—81no—
760D4×C61—81no—
761D4×C61—81no—
762D4×C61—81no—
763D4×C61—81no—
764D4×C61—81no—
765D4×C61—81no—
766D4×C61—81no—
767D4×C61—81no—
768D4×C61—81no—
769D4×C61—81no—
770D4×C61—81no—
771C2×C4×C61—21no—
772C2×C4×C61—21no—
773C2×C4×C61—21no—
774C2×C4×C61—21no—
775C2×C4×C61—21no—
776C2×C4×C61—21no—
777C2×C4×C61—21no—
778C2×C4×C61—21no—
779C2×C4×C61—21no—
780C2×C4×C61—21no—
781C2×C4×C61—21no—
782C2×C4×C61—21no—
783C2×C4×C61—21no—
784C2×C4×C61—21no—
785C2×C4×C61—21no—
786C2×C4×C61—21no—
787C2×C4×C61—41no—
788C2×C4×C61—41no—
789C2×C4×C61—42no—
790C2×C4×C61—42no—
791C2×C4×C61—42no—
792C2×C4×C61—42no—
793C2×C4×C61—81no—
794C2×C4×C61—81no—
795C2×C4×C61—81no—
796C2×C4×C61—81no—
797C2×C4×C61—81no—
798C2×C4×C61—81no—
799C2×C4×C61—81no—
800C2×C4×C61—81no—
801C2×C4×C61—81no—
802C2×C4×C61—81no—
803C2×C4×C61—81no—
804C2×C4×C61—81no—
805C2×C4×C61—81no—
806C2×C4×C61—81no—
807C2×C4×C61—81no—
808C2×C4×C61C22×D411yescharacteristic
809C2×C4×C61C22×D411yescharacteristic
810C2×C4×C61C22×D411yescharacteristic
811C2×C4×C61C22×D411yescharacteristic
812C2×C4×C61C22×D411yescharacteristic
813C2×C4×C61C22×D411yescharacteristic
814C2×C4×C61C22×D411yescharacteristic
815C2×C4×C61C22×D411yescharacteristic
816C2×C4×C61C22×D411yescharacteristic
817C2×C4×C61C22×D411yescharacteristic
818C2×C4×C61C22×D411yescharacteristic
819C2×C4×C61C2511yescharacteristic
820C8×C61—21no—
821C8×C61—21no—
822C8×C61—21no—
823C8×C61—21no—
824C8×C61—21no—
825C8×C61—21no—
826C8×C61—21no—
827C8×C61—21no—
828#62014C6111yesmaximal, characteristic, direct product factor, Sylow
829C22×C61—21no—
830C22×C61—21no—
831C22×C61—21no—
832C22×C61—21no—
833C22×C61—21no—
834C22×C61—21no—
835C22×C61—21no—
836C22×C61—21no—
837C22×C61—21no—
838C22×C61—41no—
839C22×C61—41no—
840C22×C61—41no—
841C22×C61—41no—
842C22×C61—41no—
843C22×C61—41no—
844C22×C61—41no—
845C22×C61—41no—
846C22×C61—41no—
847C22×C61—41no—
848C22×C61—41no—
849C22×C61—41no—
850C22×C61—41no—
851C22×C61—41no—
852C22×C61—41no—
853C22×C61—41no—
854C22×C61—41no—
855C22×C61—41no—
856C22×C61—162no—
857C22×C61C23×D411yescharacteristic
858C4×C61—21no—
859C4×C61—21no—
860C4×C61—21no—
861C4×C61—21no—
862C4×C61—21no—
863C4×C61—21no—
864C4×C61—21no—
865C4×C61—21no—
866C4×C61—21no—
867C4×C61—21no—
868C4×C61—21no—
869C4×C61—22no—
870C4×C61—41no—
871C4×C61—41no—
872C4×C61—41no—
873C4×C61—41no—
874C4×C61—41no—
875C4×C61—41no—
876C4×C61—41no—
877C4×C61—41no—
878C4×C61—41no—
879C4×C61C2×H(5,𝔽2)11yescharacteristic
880C4×C61#58511yescharacteristic
881#3562C2×C6111yescharacteristic, complemented
882#3517C2×C6111yescharacteristic, complemented
883#3399C2×C6111yescharacteristic, complemented
884#3397C2×C6111yescharacteristic, complemented
885#3377C2×C6111yescharacteristic, complemented
886#3371C2×C6111yescharacteristic, complemented
887#3309C2×C6111yescharacteristic, complemented
888#3308C2×C6111yescharacteristic, complemented
889#3307C2×C6111yescharacteristic, complemented
890#3306C2×C6111yescharacteristic, complemented
891#3301C2×C6111yescharacteristic, complemented
892#3297C2×C6111yescharacteristic, complemented
893#3287C2×C6111yescharacteristic, complemented
894#3284C2×C6111yescharacteristic, complemented
895#3271C2×C6111yescharacteristic, complemented
896#3271C2×C6111yescharacteristic, complemented
897#3268C2×C6111yescharacteristic, complemented
898#3268C2×C6111yescharacteristic, complemented
899#3260C2×C6111yescharacteristic, complemented
900#3259C2×C6111yescharacteristic, complemented
901#3247C2×C6111yescharacteristic, complemented
902#3221C2×C6111yescharacteristic, complemented
903#3220C2×C6111yescharacteristic, complemented
904#3214C2×C6111yescharacteristic, complemented
905#3120C2×C6111yescharacteristic, complemented
906#3119C2×C6111yescharacteristic, complemented
907#3111C2×C6111yescharacteristic, complemented
908#3046C2×C6111yescharacteristic, complemented
909#3045C2×C6111yescharacteristic, complemented
910#3035C2×C6111yescharacteristic, complemented
911#2992C2×C6111yescharacteristic, complemented
912C2×C61—41no—
913C2×C61—41no—
914C2×C61—41no—
915C2×C61—81no—
916C2×C61—81no—
917C2×C61—81no—
918C2×C61—81no—
919C2×C61—81no—
920C2×C61—81no—
921C2×C61#348811yescharacteristic
922C2×C61#358411yescharacteristic
923C2×C61#358511yescharacteristic
924C2×#137C22×C6111yescharacteristic, complemented
925C2×AGL(1,ℤ/8)C22×C6111yescharacteristic
926C2×#135C22×C6111yescharacteristic
927C2×#135C22×C6111yescharacteristic
928C2×#135C22×C6111yescharacteristic
929C2×#135C22×C6111yescharacteristic, complemented
930#562—21no—
931#560—21no—
932#559C22×C6111yescharacteristic
933#557C22×C6111yescharacteristic, complemented
934#556C22×C6111yescharacteristic
935#553—21no—
936#553—21no—
937#553—21no—
938#553C22×C6111yescharacteristic
939#553C22×C6111yescharacteristic, complemented
940#551—21no—
941#550—21no—
942#550C22×C6111yescharacteristic
943#550C22×C6111yescharacteristic
944#550C22×C6111yescharacteristic
945#550C22×C6111yescharacteristic, complemented
946#550C22×C6111yescharacteristic, complemented
947#548C22×C6111yescharacteristic
948#548C22×C6111yescharacteristic
949#547—21no—
950#547C22×C6111yescharacteristic
951#547C22×C6111yescharacteristic
952#546C22×C6111yescharacteristic
953#546C22×C6111yescharacteristic
954#541C22×C6111yescharacteristic
955#540—21no—
956#540—21no—
957#540—21no—
958#540C22×C6111yescharacteristic
959#540C22×C6111yescharacteristic
960#540C22×C6111yescharacteristic, complemented
961#539—21no—
962#538—21no—
963#538—21no—
964#536C22×C6111yescharacteristic
965#535C22×C6111yescharacteristic
966#532—21no—
967#532C22×C6111yescharacteristic
968#532C22×C6111yescharacteristic, complemented
969#529—21no—
970#529C22×C6111yescharacteristic
971#529C22×C6111yescharacteristic
972#520C22×C6111yescharacteristic
973#520C22×C6111yescharacteristic, complemented
974C4×#41C22×C6111yescharacteristic, complemented
975#496C22×C6111yescharacteristic
976#496C22×C6111yescharacteristic
977#496C22×C6111yescharacteristic
978#496C22×C6111yescharacteristic, complemented
979#493C22×C6111yescharacteristic
980#492C22×C6111yescharacteristic, complemented
981#491C22×C6111yescharacteristic, complemented
982#490C22×C6111yescharacteristic
983#489C22×C6111yescharacteristic
984#489C22×C6111yescharacteristic, complemented
985#488C22×C6111yescharacteristic
986#488C22×C6111yescharacteristic
987#485C22×C6111yescharacteristic, complemented
988#484C22×C6111yescharacteristic
989#483C22×C6111yescharacteristic
990#482C22×C6111yescharacteristic
991#481C22×C6111yescharacteristic
992#480C22×C6111yescharacteristic, complemented
993#479C22×C6111yescharacteristic, complemented
994#479C22×C6111yescharacteristic, complemented
995#479C22×C6111yescharacteristic, complemented
996#478C22×C6111yescharacteristic
997#478C22×C6111yescharacteristic, complemented
998#478C22×C6111yescharacteristic, complemented
999#478C22×C6111yescharacteristic, complemented
1000#478C22×C6111yescharacteristic, complemented
1001#477C22×C6111yescharacteristic, complemented
1002#476C22×C6111yescharacteristic
1003#469C22×C6111yescharacteristic
1004#469C22×C6111yescharacteristic, complemented
1005#468C22×C6111yescharacteristic
1006#468C22×C6111yescharacteristic
1007#466C22×C6111yescharacteristic
1008#466C22×C6111yescharacteristic
1009#466C22×C6111yescharacteristic
1010#466C22×C6111yescharacteristic, complemented
1011#465C22×C6111yescharacteristic
1012#465C22×C6111yescharacteristic
1013#465C22×C6111yescharacteristic, complemented
1014#465C22×C6111yescharacteristic, complemented
1015#464C22×C6111yescharacteristic
1016#464C22×C6111yescharacteristic
1017#464C22×C6111yescharacteristic
1018#464C22×C6111yescharacteristic
1019#464C22×C6111yescharacteristic, complemented
1020#463C22×C6111yescharacteristic
1021#463C22×C6111yescharacteristic
1022#463C22×C6111yescharacteristic
1023#463C22×C6111yescharacteristic
1024#463C22×C6111yescharacteristic
1025#463C22×C6111yescharacteristic
1026#463C22×C6111yescharacteristic, complemented
1027#462C22×C6111yescharacteristic, complemented
1028#462C22×C6111yescharacteristic, complemented
1029#461C22×C6111yescharacteristic, complemented
1030#461C22×C6111yescharacteristic, complemented
1031#461C22×C6111yescharacteristic, complemented
1032#461C22×C6111yescharacteristic, complemented
1033#460C22×C6111yescharacteristic
1034#460C22×C6111yescharacteristic
1035#460C22×C6111yescharacteristic, complemented
1036#460C22×C6111yescharacteristic, complemented
1037#460C22×C6111yescharacteristic, complemented
1038#459C22×C6111yescharacteristic
1039#459C22×C6111yescharacteristic
1040#459C22×C6111yescharacteristic
1041#459C22×C6111yescharacteristic
1042#459C22×C6111yescharacteristic
1043#459C22×C6111yescharacteristic
1044#459C22×C6111yescharacteristic, complemented
1045#452C22×C6111yescharacteristic
1046#452C22×C6111yescharacteristic
1047#452C22×C6111yescharacteristic, complemented
1048#449C22×C6111yescharacteristic
1049#449C22×C6111yescharacteristic
1050#449C22×C6111yescharacteristic
1051#449C22×C6111yescharacteristic
1052#449C22×C6111yescharacteristic
1053#449C22×C6111yescharacteristic
1054#449C22×C6111yescharacteristic
1055#449C22×C6111yescharacteristic
1056#449C22×C6111yescharacteristic, complemented
1057#449C22×C6111yescharacteristic, complemented
1058#449C22×C6111yescharacteristic, complemented
1059#448C22×C6111yescharacteristic, complemented
1060#448C22×C6111yescharacteristic, complemented
1061#447C22×C6111yescharacteristic
1062#447C22×C6111yescharacteristic
1063#446C22×C6111yescharacteristic, complemented
1064#446C22×C6111yescharacteristic, complemented
1065#442C22×C6111yescharacteristic
1066#442C22×C6111yescharacteristic, complemented
1067#441C22×C6111yescharacteristic, complemented
1068#441C22×C6111yescharacteristic, complemented
1069#440C22×C6111yescharacteristic
1070#440C22×C6111yescharacteristic
1071#440C22×C6111yescharacteristic, complemented
1072#440C22×C6111yescharacteristic, complemented
1073C4×Q16C22×C6111yescharacteristic, complemented
1074C4×SD16C22×C6111yescharacteristic, complemented
1075C4×SD16C22×C6111yescharacteristic, complemented
1076C4×D8C22×C6111yescharacteristic
1077#435C22×C6111yescharacteristic
1078#435C22×C6111yescharacteristic
1079#435C22×C6111yescharacteristic
1080#435C22×C6111yescharacteristic, complemented
1081C8×D4C22×C6111yescharacteristic
1082C8×D4C22×C6111yescharacteristic, complemented
1083#433C22×C6111yescharacteristic
1084#433C22×C6111yescharacteristic, complemented
1085#432C22×C6111yescharacteristic, complemented
1086#424C22×C6111yescharacteristic
1087#424C22×C6111yescharacteristic, complemented
1088C2×C4⋊C8C22×C6111yescharacteristic, complemented
1089#417C22×C6111yescharacteristic
1090#417C22×C6111yescharacteristic
1091#416C22×C6111yescharacteristic
1092#416C22×C6111yescharacteristic, complemented
1093C2×#103C22×C6111yescharacteristic, complemented
1094C2×#102C22×C6111yescharacteristic
1095C61#6201411yescharacteristic, direct product factor, Sylow
1096C2×#41—21no—
1097C2×#41—21no—
1098C2×#41—21no—
1099C2×#41C23×C6111yescharacteristic
1100C2×#41C23×C6111yescharacteristic
1101C2×#41C23×C6111yescharacteristic
1102C2×#41C23×C6111yescharacteristic
1103C2×#41C23×C6111yescharacteristic
1104C2×#41C23×C6111yescharacteristic
1105C2×#41C23×C6111yescharacteristic
1106C22×Q8C23×C6111yescharacteristic
1107C22×D4C23×C6111yescharacteristic
1108#137—42no—
1109AGL(1,ℤ/8)—42no—
1110#135—42no—
1111#135—42no—
1112#135—42no—
1113#135—42no—
1114C2×Q16C23×C6111yescharacteristic
1115C2×Q16C23×C6111yescharacteristic
1116C2×Q16C23×C6111yescharacteristic
1117C2×SD16C23×C6111yescharacteristic
1118C2×SD16C23×C6111yescharacteristic
1119C2×SD16C23×C6111yescharacteristic
1120C2×SD16C23×C6111yescharacteristic
1121C2×SD16C23×C6111yescharacteristic
1122C2×SD16C23×C6111yescharacteristic
1123C2×SD16C23×C6111yescharacteristic
1124C2×SD16C23×C6111yescharacteristic
1125C2×SD16C23×C6111yescharacteristic
1126C2×SD16C23×C6111yescharacteristic
1127C2×SD16C23×C6111yescharacteristic
1128C2×SD16C23×C6111yescharacteristic
1129C2×D8C23×C6111yescharacteristic
1130C2×D8C23×C6111yescharacteristic
1131C2×D8C23×C6111yescharacteristic
1132C2×D8C23×C6111yescharacteristic
1133C2×D8C23×C6111yescharacteristic
1134C2×D8C23×C6111yescharacteristic
1135C2×D8C23×C6111yescharacteristic
1136C2×D8C23×C6111yescharacteristic
1137C2×D8C23×C6111yescharacteristic
1138C2×M16C23×C6111yescharacteristic
1139C2×M16C23×C6111yescharacteristic
1140C22×C8C23×C6111yescharacteristic
1141C22×C8C23×C6111yescharacteristic
1142C22×C8C23×C6111yescharacteristic
1143C22×C8C23×C6111yescharacteristic
1144C4⋊Q8—21no—
1145C4⋊Q8C23×C6111yescharacteristic
1146C4⋊Q8C23×C6111yescharacteristic
1147C4⋊Q8C23×C6111yescharacteristic
1148#127—21no—
1149#127—21no—
1150#127—21no—
1151#127—21no—
1152#127C23×C6111yescharacteristic
1153#127C23×C6111yescharacteristic
1154#127C23×C6111yescharacteristic
1155#127C23×C6111yescharacteristic
1156#127C23×C6111yescharacteristic
1157#126—21no—
1158#126—21no—
1159#126—21no—
1160#126—21no—
1161#126—21no—
1162#126—21no—
1163#126—21no—
1164#126D4×C6111yescharacteristic
1165#126D4×C6111yescharacteristic
1166#125—21no—
1167#125—21no—
1168#125—21no—
1169#125—21no—
1170#125D4×C6111yescharacteristic
1171#125C23×C6111yescharacteristic
1172#125C23×C6111yescharacteristic
1173#125C23×C6111yescharacteristic
1174#124—21no—
1175#124—21no—
1176#124—21no—
1177#124—21no—
1178#124D4×C6111yescharacteristic
1179#124C23×C6111yescharacteristic
1180#124C23×C6111yescharacteristic
1181#124C23×C6111yescharacteristic
1182#124C23×C6111yescharacteristic
1183#124C23×C6111yescharacteristic
1184#123—21no—
1185#123—21no—
1186#123—21no—
1187#123—21no—
1188#123—21no—
1189#123—21no—
1190#123—21no—
1191#123—21no—
1192#123—21no—
1193#123—21no—
1194#123—21no—
1195#123—21no—
1196#123—21no—
1197#123—21no—
1198#123—21no—
1199#123—21no—
1200#123—21no—
1201#123—21no—
1202#123—21no—
1203#123D4×C6111yescharacteristic
1204#123D4×C6111yescharacteristic
1205C22⋊Q8—21no—
1206C22⋊Q8—21no—
1207C22⋊Q8—21no—
1208C22⋊Q8—21no—
1209C22⋊Q8—21no—
1210C22⋊Q8—21no—
1211C22⋊Q8D4×C6111yescharacteristic
1212C22⋊Q8C23×C6111yescharacteristic
1213C22⋊Q8C23×C6111yescharacteristic
1214C22⋊Q8C23×C6111yescharacteristic
1215#121—21no—
1216#121—21no—
1217#121—21no—
1218#121—21no—
1219#121—21no—
1220#121—21no—
1221#121—21no—
1222#121—21no—
1223#121—21no—
1224#121—21no—
1225#121—21no—
1226#121—21no—
1227#121—21no—
1228#121—21no—
1229#121—21no—
1230#121—21no—
1231#121—21no—
1232#121—21no—
1233#121—21no—
1234#121—21no—
1235#121—21no—
1236#121—21no—
1237#121—21no—
1238#121—21no—
1239#121—21no—
1240#121—21no—
1241#121—21no—
1242#121—21no—
1243#121—21no—
1244#121D4×C6111yescharacteristic
1245#121C23×C6111yescharacteristic
1246#121C23×C6111yescharacteristic
1247#121C23×C6111yescharacteristic
1248#121C23×C6111yescharacteristic
1249#121C23×C6111yescharacteristic
1250#121C23×C6111yescharacteristic
1251#121C23×C6111yescharacteristic
1252#121C23×C6111yescharacteristic
1253#121C23×C6111yescharacteristic
1254#120—21no—
1255#120—21no—
1256#120—21no—
1257#120—21no—
1258C4×Q8—21no—
1259C4×Q8C23×C6111yescharacteristic
1260C4×Q8C23×C6111yescharacteristic
1261C4×Q8C23×C6111yescharacteristic
1262C4×Q8C23×C6111yescharacteristic
1263C4×Q8C23×C6111yescharacteristic
1264C4×Q8C23×C6111yescharacteristic
1265C4×Q8C23×C6111yescharacteristic
1266C4×Q8C23×C6111yescharacteristic
1267C4×D4—21no—
1268C4×D4—21no—
1269C4×D4—21no—
1270C4×D4—21no—
1271C4×D4—21no—
1272C4×D4—21no—
1273C4×D4—21no—
1274C4×D4—21no—
1275C4×D4—21no—
1276C4×D4—21no—
1277C4×D4—21no—
1278C4×D4—21no—
1279C4×D4—21no—
1280C4×D4—21no—
1281C4×D4—21no—
1282C4×D4—21no—
1283C4×D4—21no—
1284C4×D4—21no—
1285C4×D4—21no—
1286C4×D4C23×C6111yescharacteristic
1287C4×D4C23×C6111yescharacteristic
1288C4×D4C23×C6111yescharacteristic
1289C4×D4C23×C6111yescharacteristic
1290C4×D4C23×C6111yescharacteristic
1291C4×D4C23×C6111yescharacteristic
1292C4×D4C23×C6111yescharacteristic
1293C4×D4C23×C6111yescharacteristic
1294C4×D4C23×C6111yescharacteristic
1295C4×D4C23×C6111yescharacteristic
1296C4×D4C23×C6111yescharacteristic
1297C4×D4C23×C6111yescharacteristic
1298#117—21no—
1299#117—21no—
1300#117—21no—
1301#117—21no—
1302#117—21no—
1303#117C23×C6111yescharacteristic
1304#117C23×C6111yescharacteristic
1305#117C23×C6111yescharacteristic
1306C2×C4⋊C4—21no—
1307C2×C4⋊C4—21no—
1308C2×C4⋊C4—21no—
1309C2×C4⋊C4C23×C6111yescharacteristic
1310C2×C4⋊C4C23×C6111yescharacteristic
1311C2×C22⋊C4—21no—
1312C2×C22⋊C4—21no—
1313C2×C42—21no—
1314C2×C42C23×C6111yescharacteristic
1315#107C23×C6111yescharacteristic
1316#107C23×C6111yescharacteristic
1317#107C23×C6111yescharacteristic
1318#107C23×C6111yescharacteristic
1319#106C23×C6111yescharacteristic
1320#106C23×C6111yescharacteristic
1321#106C23×C6111yescharacteristic
1322#106C23×C6111yescharacteristic
1323C4⋊C8C23×C6111yescharacteristic
1324C4⋊C8C23×C6111yescharacteristic
1325C4⋊C8C23×C6111yescharacteristic
1326C4⋊C8C23×C6111yescharacteristic
1327C4⋊C8C23×C6111yescharacteristic
1328C4⋊C8C23×C6111yescharacteristic
1329C4⋊C8C23×C6111yescharacteristic
1330C4⋊C8C23×C6111yescharacteristic
1331C4⋊C8C23×C6111yescharacteristic
1332C4⋊C8C23×C6111yescharacteristic
1333#103C23×C6111yescharacteristic
1334#103C23×C6111yescharacteristic
1335#103C23×C6111yescharacteristic
1336#103C23×C6111yescharacteristic
1337#103C23×C6111yescharacteristic
1338#103C23×C6111yescharacteristic
1339#103C23×C6111yescharacteristic
1340#103C23×C6111yescharacteristic
1341#103C23×C6111yescharacteristic
1342#103C23×C6111yescharacteristic
1343#103C23×C6111yescharacteristic
1344#103C23×C6111yescharacteristic
1345#103C23×C6111yescharacteristic
1346#103C23×C6111yescharacteristic
1347#102C23×C6111yescharacteristic
1348#102C23×C6111yescharacteristic
1349#102C23×C6111yescharacteristic
1350#102C23×C6111yescharacteristic
1351#102C23×C6111yescharacteristic
1352#102C23×C6111yescharacteristic
1353#102C23×C6111yescharacteristic
1354#102C23×C6111yescharacteristic
1355#102C23×C6111yescharacteristic
1356#102C23×C6111yescharacteristic
1357#102C23×C6111yescharacteristic
1358#102C23×C6111yescharacteristic
1359#102C23×C6111yescharacteristic
1360#102C23×C6111yescharacteristic
1361#102C23×C6111yescharacteristic
1362#102C23×C6111yescharacteristic
1363#102C23×C6111yescharacteristic
1364#102C23×C6111yescharacteristic
1365C22⋊C8C23×C6111yescharacteristic
1366C22⋊C8C23×C6111yescharacteristic
1367C22⋊C8C23×C6111yescharacteristic
1368C22⋊C8C23×C6111yescharacteristic
1369C22⋊C8C23×C6111yescharacteristic
1370C22⋊C8C23×C6111yescharacteristic
1371#97C23×C6111yescharacteristic
1372#97C23×C6111yescharacteristic
1373#97C23×C6111yescharacteristic
1374#97C23×C6111yescharacteristic
1375C4×C8C23×C6111yescharacteristic
1376C4×C8C23×C6111yescharacteristic
1377C24—21no—
1378#41—22no—
1379#41—22no—
1380#41—22no—
1381#41—41no—
1382#41—41no—
1383#41—41no—
1384#41—41no—
1385#41—41no—
1386#41—41no—
1387#41—41no—
1388#41—41no—
1389#41—41no—
1390#41—41no—
1391#41—41no—
1392#41—82no—
1393#41—82no—
1394#41—82no—
1395C2×Q8—21no—
1396C2×Q8—21no—
1397C2×Q8—41no—
1398C2×Q8—41no—
1399C2×Q8C2×D4×C6111yescharacteristic
1400C2×Q8C24×C6111yescharacteristic
1401C2×Q8C24×C6111yescharacteristic
1402C2×Q8C24×C6111yescharacteristic
1403C2×Q8C24×C6111yescharacteristic
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—21no—
1408C2×D4—21no—
1409C2×D4—21no—
1410C2×D4—21no—
1411C2×D4—21no—
1412C2×D4—21no—
1413C2×D4—21no—
1414C2×D4—21no—
1415C2×D4—21no—
1416C2×D4—21no—
1417C2×D4—21no—
1418C2×D4—21no—
1419C2×D4—21no—
1420C2×D4—21no—
1421C2×D4—21no—
1422C2×D4—21no—
1423C2×D4—21no—
1424C2×D4—21no—
1425C2×D4—21no—
1426C2×D4—21no—
1427C2×D4—21no—
1428C2×D4—21no—
1429C2×D4—21no—
1430C2×D4—21no—
1431C2×D4—41no—
1432C2×D4—41no—
1433C2×D4C2×D4×C6111yescharacteristic
1434C2×D4C2×D4×C6111yescharacteristic
1435C2×D4C2×D4×C6111yescharacteristic
1436C2×D4C24×C6111yescharacteristic
1437C2×D4C24×C6111yescharacteristic
1438C2×D4C24×C6111yescharacteristic
1439C2×D4C24×C6111yescharacteristic
1440C2×D4C24×C6111yescharacteristic
1441C2×D4C24×C6111yescharacteristic
1442C22×C4—21no—
1443C22×C4—21no—
1444C22×C4—21no—
1445C22×C4—21no—
1446C22×C4—21no—
1447C22×C4—21no—
1448C22×C4—21no—
1449C22×C4—21no—
1450C22×C4—21no—
1451C22×C4—21no—
1452C22×C4—21no—
1453C22×C4—21no—
1454C22×C4—21no—
1455C22×C4—21no—
1456C22×C4—21no—
1457C22×C4—21no—
1458C22×C4—21no—
1459C22×C4—21no—
1460C22×C4—21no—
1461C22×C4C2×D4×C6111yescharacteristic
1462C22×C4C2×D4×C6111yescharacteristic
1463C22×C4C24×C6111yescharacteristic
1464C22×C4C24×C6111yescharacteristic
1465C22×C4C24×C6111yescharacteristic
1466Q16—22no—
1467Q16—22no—
1468Q16—22no—
1469SD16—22no—
1470SD16—22no—
1471SD16—22no—
1472SD16—41no—
1473SD16—41no—
1474SD16—41no—
1475SD16—41no—
1476SD16—41no—
1477SD16—41no—
1478SD16—41no—
1479SD16—41no—
1480SD16—41no—
1481D8—41no—
1482D8—41no—
1483D8—41no—
1484D8—41no—
1485D8—41no—
1486D8—41no—
1487D8—41no—
1488D8—41no—
1489D8—41no—
1490M16—41no—
1491M16—41no—
1492C2×C8—41no—
1493C2×C8—41no—
1494C2×C8—41no—
1495C2×C8—41no—
1496C2×C8C24×C6111yescharacteristic
1497C2×C8C24×C6111yescharacteristic
1498C2×C8C24×C6111yescharacteristic
1499C2×C8C24×C6111yescharacteristic
1500C2×C8C24×C6111yescharacteristic
1501C2×C8C24×C6111yescharacteristic
1502C2×C8C24×C6111yescharacteristic
1503C2×C8C24×C6111yescharacteristic
1504C4⋊C4—21no—
1505C4⋊C4—21no—
1506C4⋊C4—21no—
1507C4⋊C4—21no—
1508C4⋊C4—21no—
1509C4⋊C4—21no—
1510C4⋊C4—21no—
1511C4⋊C4—21no—
1512C4⋊C4—21no—
1513C4⋊C4—21no—
1514C4⋊C4—21no—
1515C4⋊C4—21no—
1516C4⋊C4—21no—
1517C4⋊C4—21no—
1518C4⋊C4—21no—
1519C4⋊C4—21no—
1520C4⋊C4—21no—
1521C4⋊C4—21no—
1522C4⋊C4—21no—
1523C4⋊C4—21no—
1524C4⋊C4—21no—
1525C4⋊C4—21no—
1526C4⋊C4—21no—
1527C4⋊C4C2×D4×C6111yescharacteristic
1528C4⋊C4C2×D4×C6111yescharacteristic
1529C4⋊C4C2×D4×C6111yescharacteristic
1530C4⋊C4C2×D4×C6111yescharacteristic
1531C4⋊C4C2×D4×C6111yescharacteristic
1532C4⋊C4C2×D4×C6111yescharacteristic
1533C4⋊C4C2×D4×C6111yescharacteristic
1534C4⋊C4C2×D4×C6111yescharacteristic
1535C4⋊C4C2×D4×C6111yescharacteristic
1536C4⋊C4C2×D4×C6111yescharacteristic
1537C4⋊C4C24×C6111yescharacteristic
1538C4⋊C4C24×C6111yescharacteristic
1539C4⋊C4C24×C6111yescharacteristic
1540C4⋊C4C24×C6111yescharacteristic
1541C4⋊C4C24×C6111yescharacteristic
1542C4⋊C4C24×C6111yescharacteristic
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—21no—
1551C22⋊C4—21no—
1552C22⋊C4—21no—
1553C22⋊C4—21no—
1554C22⋊C4—21no—
1555C22⋊C4—21no—
1556C22⋊C4—21no—
1557C22⋊C4—21no—
1558C22⋊C4—21no—
1559C22⋊C4—21no—
1560C22⋊C4—21no—
1561C22⋊C4—21no—
1562C22⋊C4—21no—
1563C22⋊C4—21no—
1564C22⋊C4—21no—
1565C22⋊C4—21no—
1566C22⋊C4—21no—
1567C22⋊C4—21no—
1568C22⋊C4—21no—
1569C22⋊C4—21no—
1570C22⋊C4—21no—
1571C22⋊C4—21no—
1572C22⋊C4—21no—
1573C22⋊C4—21no—
1574C22⋊C4—21no—
1575C22⋊C4C2×D4×C6111yescharacteristic
1576C22⋊C4C2×D4×C6111yescharacteristic
1577C22⋊C4C2×D4×C6111yescharacteristic
1578C22⋊C4C2×D4×C6111yescharacteristic
1579C22⋊C4C2×D4×C6111yescharacteristic
1580C22⋊C4C2×D4×C6111yescharacteristic
1581C22⋊C4C2×D4×C6111yescharacteristic
1582C22⋊C4C2×D4×C6111yescharacteristic
1583C22⋊C4C2×D4×C6111yescharacteristic
1584C22⋊C4C2×D4×C6111yescharacteristic
1585C42—21no—
1586C42—21no—
1587C42—21no—
1588C42—21no—
1589C42—21no—
1590C42—21no—
1591C42—21no—
1592C42—21no—
1593C42C2×D4×C6111yescharacteristic
1594C42C2×D4×C6111yescharacteristic
1595C42C24×C6111yescharacteristic
1596C42C24×C6111yescharacteristic
1597C42C24×C6111yescharacteristic
1598C42C24×C6111yescharacteristic
1599C23—21no—
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—81no—
1606C23—81no—
1607C23—81no—
1608C23C22×D4×C6111yescharacteristic
1609C23C22×D4×C6111yescharacteristic
1610C23C22×D4×C6111yescharacteristic
1611Q8—21no—
1612Q8—21no—
1613Q8—21no—
1614Q8—21no—
1615Q8—21no—
1616Q8—21no—
1617Q8—21no—
1618Q8—41no—
1619Q8—42no—
1620Q8—81no—
1621Q8H(5,𝔽2)×C6112yes—
1622D4—21no—
1623D4—21no—
1624D4—21no—
1625D4—21no—
1626D4—21no—
1627D4—21no—
1628D4—21no—
1629D4—21no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—21no—
1634D4—41no—
1635D4—41no—
1636D4—41no—
1637D4—42no—
1638D4—42no—
1639D4—42no—
1640D4—42no—
1641D4—81no—
1642D4—81no—
1643D4—81no—
1644D4—81no—
1645D4—81no—
1646D4—81no—
1647D4—81no—
1648D4—81no—
1649D4—81no—
1650D4—81no—
1651D4—81no—
1652D4—81no—
1653D4—81no—
1654D4—81no—
1655D4—81no—
1656D4—81no—
1657D4—81no—
1658D4—81no—
1659D4—81no—
1660D4—81no—
1661D4—81no—
1662D4—81no—
1663D4—81no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—41no—
1681C2×C4—41no—
1682C2×C4—42no—
1683C2×C4—42no—
1684C2×C4—42no—
1685C2×C4—42no—
1686C2×C4—81no—
1687C2×C4—81no—
1688C2×C4—81no—
1689C2×C4—81no—
1690C2×C4—81no—
1691C2×C4—81no—
1692C2×C4—81no—
1693C2×C4—81no—
1694C2×C4—81no—
1695C2×C4—81no—
1696C2×C4—81no—
1697C2×C4—81no—
1698C2×C4—81no—
1699C2×C4—81no—
1700C2×C4—81no—
1701C2×C4C22×D4×C6111yescharacteristic
1702C2×C4C22×D4×C6111yescharacteristic
1703C2×C4C22×D4×C6111yescharacteristic
1704C2×C4C22×D4×C6111yescharacteristic
1705C2×C4C22×D4×C6111yescharacteristic
1706C2×C4C22×D4×C6111yescharacteristic
1707C2×C4C22×D4×C6111yescharacteristic
1708C2×C4C22×D4×C6111yescharacteristic
1709C2×C4C22×D4×C6111yescharacteristic
1710C2×C4C22×D4×C6111yescharacteristic
1711C2×C4C22×D4×C6111yescharacteristic
1712C2×C4C25×C6111yescharacteristic
1713C8—21no—
1714C8—21no—
1715C8—21no—
1716C8—21no—
1717C8—21no—
1718C8—21no—
1719C8—21no—
1720C8—21no—
1721C22—21no—
1722C22—21no—
1723C22—21no—
1724C22—21no—
1725C22—21no—
1726C22—21no—
1727C22—21no—
1728C22—21no—
1729C22—21no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—162no—
1749C22C23×D4×C6111yescharacteristic
1750C4—21no—
1751C4—21no—
1752C4—21no—
1753C4—21no—
1754C4—21no—
1755C4—21no—
1756C4—21no—
1757C4—21no—
1758C4—21no—
1759C4—21no—
1760C4—21no—
1761C4—22no—
1762C4—41no—
1763C4—41no—
1764C4—41no—
1765C4—41no—
1766C4—41no—
1767C4—41no—
1768C4—41no—
1769C4—41no—
1770C4—41no—
1771C4C2×H(5,𝔽2)×C6111yescharacteristic
1772C4C61×#58511yescharacteristic
1773C2—41no—
1774C2—41no—
1775C2—41no—
1776C2—81no—
1777C2—81no—
1778C2—81no—
1779C2—81no—
1780C2—81no—
1781C2—81no—
1782C2C61×#348811yescharacteristic
1783C2C61×#358411yescharacteristic
1784C2C61×#358511yescharacteristic
subgroupG/H
center, socleC22×C61C23×D4
commutator, Frattini, cosocleC2×C4C25×C61
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C61 ◁ C61×#529 ◁ G

Complements

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

NH ≅ G/Ntype
1. C61×#3562C2semidirect
2. C61×#3517C2semidirect
3. C61×#3399C2semidirect
4. C61×#3397C2semidirect
5. C61×#3377C2semidirect
6. C61×#3371C2semidirect
7. C61×#3309C2semidirect
8. C61×#3308C2semidirect
9. C61×#3307C2semidirect
10. C61×#3306C2semidirect
11. C61×#3301C2semidirect
12. C61×#3297C2semidirect
13. C61×#3287C2semidirect
14. C61×#3284C2semidirect
15. C61×#3271C2semidirect
16. C61×#3271C2semidirect
17. C61×#3268C2semidirect
18. C61×#3268C2semidirect
19. C61×#3260C2semidirect
20. C61×#3259C2semidirect
21. C61×#3247C2semidirect
22. C61×#3221C2semidirect
23. C61×#3220C2semidirect
24. C61×#3214C2semidirect
25. C61×#3120C2semidirect
26. C61×#3119C2semidirect
27. C61×#3111C2semidirect
28. C61×#3046C2semidirect
29. C61×#3045C2semidirect
30. C61×#3035C2semidirect
31. C61×#2992C2semidirect
32. C2×#137×C61C22semidirect
37. C2×#135×C61C22semidirect
41. C61×#557C22semidirect
47. C61×#553C22semidirect
53. C61×#550C22semidirect
54. C61×#550C22semidirect
68. C61×#540C22semidirect
76. C61×#532C22semidirect
81. C61×#520C22semidirect
82. C4×#41×C61C22semidirect
86. C61×#496C22semidirect
88. C61×#492C22semidirect
89. C61×#491C22semidirect
92. C61×#489C22semidirect
95. C61×#485C22semidirect
100. C61×#480C22semidirect
101. C61×#479C22semidirect
102. C61×#479C22semidirect
103. C61×#479C22semidirect
105. C61×#478C22semidirect
106. C61×#478C22semidirect
107. C61×#478C22semidirect
108. C61×#478C22semidirect
109. C61×#477C22semidirect
112. C61×#469C22semidirect
118. C61×#466C22semidirect
121. C61×#465C22semidirect
122. C61×#465C22semidirect
127. C61×#464C22semidirect
134. C61×#463C22semidirect
135. C61×#462C22semidirect
136. C61×#462C22semidirect
137. C61×#461C22semidirect
138. C61×#461C22semidirect
139. C61×#461C22semidirect
140. C61×#461C22semidirect
143. C61×#460C22semidirect
144. C61×#460C22semidirect
145. C61×#460C22semidirect
152. C61×#459C22semidirect
155. C61×#452C22semidirect
164. C61×#449C22semidirect
165. C61×#449C22semidirect
166. C61×#449C22semidirect
167. C61×#448C22semidirect
168. C61×#448C22semidirect
171. C61×#446C22semidirect
172. C61×#446C22semidirect
174. C61×#442C22semidirect
175. C61×#441C22semidirect
176. C61×#441C22semidirect
179. C61×#440C22semidirect
180. C61×#440C22semidirect
181. C4×Q16×C61C22semidirect
182. C4×SD16×C61C22semidirect
183. C4×SD16×C61C22semidirect
188. C61×#435C22semidirect
190. C8×D4×C61C22semidirect
192. C61×#433C22semidirect
193. C61×#432C22semidirect
195. C61×#424C22semidirect
196. C2×C4⋊C8×C61C22semidirect
200. C61×#416C22semidirect
201. C2×#103×C61C22semidirect
828. #62014C61direct (N × H)
881. #3562C2×C61semidirect
882. #3517C2×C61semidirect
883. #3399C2×C61semidirect
884. #3397C2×C61semidirect
885. #3377C2×C61semidirect
886. #3371C2×C61semidirect
887. #3309C2×C61semidirect
888. #3308C2×C61semidirect
889. #3307C2×C61semidirect
890. #3306C2×C61semidirect
891. #3301C2×C61semidirect
892. #3297C2×C61semidirect
893. #3287C2×C61semidirect
894. #3284C2×C61semidirect
895. #3271C2×C61semidirect
896. #3271C2×C61semidirect
897. #3268C2×C61semidirect
898. #3268C2×C61semidirect
899. #3260C2×C61semidirect
900. #3259C2×C61semidirect
901. #3247C2×C61semidirect
902. #3221C2×C61semidirect
903. #3220C2×C61semidirect
904. #3214C2×C61semidirect
905. #3120C2×C61semidirect
906. #3119C2×C61semidirect
907. #3111C2×C61semidirect
908. #3046C2×C61semidirect
909. #3045C2×C61semidirect
910. #3035C2×C61semidirect
911. #2992C2×C61semidirect
924. C2×#137C22×C61semidirect
929. C2×#135C22×C61semidirect
933. #557C22×C61semidirect
939. #553C22×C61semidirect
945. #550C22×C61semidirect
946. #550C22×C61semidirect
960. #540C22×C61semidirect
968. #532C22×C61semidirect
973. #520C22×C61semidirect
974. C4×#41C22×C61semidirect
978. #496C22×C61semidirect
980. #492C22×C61semidirect
981. #491C22×C61semidirect
984. #489C22×C61semidirect
987. #485C22×C61semidirect
992. #480C22×C61semidirect
993. #479C22×C61semidirect
994. #479C22×C61semidirect
995. #479C22×C61semidirect
997. #478C22×C61semidirect
998. #478C22×C61semidirect
999. #478C22×C61semidirect
1000. #478C22×C61semidirect
1001. #477C22×C61semidirect
1004. #469C22×C61semidirect
1010. #466C22×C61semidirect
1013. #465C22×C61semidirect
1014. #465C22×C61semidirect
1019. #464C22×C61semidirect
1026. #463C22×C61semidirect
1027. #462C22×C61semidirect
1028. #462C22×C61semidirect
1029. #461C22×C61semidirect
1030. #461C22×C61semidirect
1031. #461C22×C61semidirect
1032. #461C22×C61semidirect
1035. #460C22×C61semidirect
1036. #460C22×C61semidirect
1037. #460C22×C61semidirect
1044. #459C22×C61semidirect
1047. #452C22×C61semidirect
1056. #449C22×C61semidirect
1057. #449C22×C61semidirect
1058. #449C22×C61semidirect
1059. #448C22×C61semidirect
1060. #448C22×C61semidirect
1063. #446C22×C61semidirect
1064. #446C22×C61semidirect
1066. #442C22×C61semidirect
1067. #441C22×C61semidirect
1068. #441C22×C61semidirect
1071. #440C22×C61semidirect
1072. #440C22×C61semidirect
1073. C4×Q16C22×C61semidirect
1074. C4×SD16C22×C61semidirect
1075. C4×SD16C22×C61semidirect
1080. #435C22×C61semidirect
1082. C8×D4C22×C61semidirect
1084. #433C22×C61semidirect
1085. #432C22×C61semidirect
1087. #424C22×C61semidirect
1088. C2×C4⋊C8C22×C61semidirect
1092. #416C22×C61semidirect
1093. C2×#103C22×C61semidirect
1095. C61#62014direct (N × H)

Maximal subgroups

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

subgroupindex
C61×#35622
C61×#35172
C61×#33992
C61×#33972
C61×#33772
C61×#33712
C61×#33092
C61×#33082
C61×#33072
C61×#33062
C61×#33012
C61×#32972
C61×#32872
C61×#32842
C61×#32712
C61×#32682
C61×#32602
C61×#32592
C61×#32472
C61×#32212
C61×#32202
C61×#32142
C61×#31202
C61×#31192
C61×#31112
C61×#30462
C61×#30452
C61×#30352
C61×#29922
#6201461