Finite Group Databasebeta

← C61×#61715 #29565148

Subgroups — C61×#61715 #29565148

Order 15616.

1758 conjugacy classes of subgroups.

The subgroup lattice has 1700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C61×#3520C211yesmaximal, characteristic, complemented
2C61×#3475C211yesmaximal, characteristic, complemented
3C61×#3350C211yesmaximal, characteristic, complemented
4C61×#3349C211yesmaximal, characteristic, complemented
5C61×#3349C211yesmaximal, characteristic, complemented
6C61×#3348C211yesmaximal, characteristic, complemented
7C61×#3345C211yesmaximal, characteristic, complemented
8C61×#3344C211yesmaximal, characteristic, complemented
9C61×#3343C211yesmaximal, characteristic, complemented
10C61×#3343C211yesmaximal, characteristic, complemented
11C61×#3321C211yesmaximal, characteristic, complemented
12C61×#3320C211yesmaximal, characteristic, complemented
13C61×#3316C211yesmaximal, characteristic, complemented
14C61×#3315C211yesmaximal, characteristic, complemented
15C61×#3313C211yesmaximal, characteristic, complemented
16C61×#3312C211yesmaximal, characteristic, complemented
17C61×#3308C211yesmaximal, characteristic, complemented
18C61×#3307C211yesmaximal, characteristic, complemented
19C61×#3240C211yesmaximal, characteristic, complemented
20C61×#3237C211yesmaximal, characteristic, complemented
21C61×#3197C211yesmaximal, characteristic, complemented
22C61×#3196C211yesmaximal, characteristic, complemented
23C61×#3191C211yesmaximal, characteristic, complemented
24C61×#3190C211yesmaximal, characteristic, complemented
25C61×#3116C211yesmaximal, characteristic, complemented
26C61×#3111C211yesmaximal, characteristic, complemented
27C61×#3095C211yesmaximal, characteristic, complemented
28C61×#3093C211yesmaximal, characteristic, complemented
29C61×#3091C211yesmaximal, characteristic, complemented
30C2×C61×#485C211yesmaximal, characteristic, complemented
31C61×#2973C211yesmaximal, characteristic, complemented
32C61×#556C2211yescharacteristic
33C61×#556C2211yescharacteristic
34C61×#555C2211yescharacteristic
35C61×#554—21no—
36C61×#554C2211yescharacteristic
37C61×#553C2211yescharacteristic
38C61×#553C2211yescharacteristic
39C61×#552—21no—
40C61×#552C2211yescharacteristic
41C61×#552C2211yescharacteristic
42C61×#552C2211yescharacteristic
43C61×#552C2211yescharacteristic
44C61×#551—21no—
45C61×#551—21no—
46C61×#551—21no—
47C61×#551—21no—
48D4×Q8×C61C2211yescharacteristic
49C61×#548C2211yescharacteristic
50C61×#548C2211yescharacteristic
51C61×#547C2211yescharacteristic
52C61×#547C2211yescharacteristic
53C61×#547C2211yescharacteristic
54C61×#546—21no—
55C61×#546—21no—
56C61×#542—21no—
57C61×#539—21no—
58C61×#539—21no—
59C61×#533C2211yescharacteristic
60C61×#533C2211yescharacteristic
61C61×#529—21no—
62C61×#529—21no—
63C61×#529—21no—
64C61×#529C2211yescharacteristic
65C61×#525C2211yescharacteristic
66C61×#525C2211yescharacteristic
67C61×#525C2211yescharacteristic
68C61×#525C2211yescharacteristic
69C2×C22⋊Q8×C61C2211yescharacteristic
70C2×C22⋊Q8×C61C2211yescharacteristic
71C61×#520—21no—
72C4×#41×C61—21no—
73C4×#41×C61C2211yescharacteristic
74C2×C4×D4×C61C2211yescharacteristic
75C2×#117×C61C2211yescharacteristic
76C2×#117×C61C2211yescharacteristic
77C61×#501C2211yescharacteristic, complemented
78C61×#501C2211yescharacteristic, complemented
79C61×#501C2211yescharacteristic, complemented
80C61×#501C2211yescharacteristic, complemented
81C61×#491C2211yescharacteristic, complemented
82C61×#491C2211yescharacteristic, complemented
83C61×#489C2211yescharacteristic, complemented
84C61×#489C2211yescharacteristic, complemented
85C61×#485C2211yescharacteristic
86C61×#485C2211yescharacteristic
87C61×#485C2211yescharacteristic
88C61×#485C2211yescharacteristic
89C61×#485C2211yescharacteristic
90C61×#485C2211yescharacteristic
91C61×#485C2211yescharacteristic
92C61×#485C2211yescharacteristic
93C61×#485C2211yescharacteristic
94C61×#485C2211yescharacteristic, complemented
95C61×#485C2211yescharacteristic, complemented
96C61×#485C2211yescharacteristic, complemented
97C61×#485C2211yescharacteristic, complemented
98C61×#485C2211yescharacteristic, complemented
99C61×#485C2211yescharacteristic, complemented
100C61×#485C2211yescharacteristic, complemented
101C61×#485C2211yescharacteristic, complemented
102C61×#484C2211yescharacteristic, complemented
103C61×#484C2211yescharacteristic, complemented
104C61×#484C2211yescharacteristic, complemented
105C61×#484C2211yescharacteristic, complemented
106C61×#483C2211yescharacteristic, complemented
107C61×#483C2211yescharacteristic, complemented
108C61×#483C2211yescharacteristic, complemented
109C61×#483C2211yescharacteristic, complemented
110C61×#482C2211yescharacteristic
111C61×#482C2211yescharacteristic
112C61×#482C2211yescharacteristic
113C61×#482C2211yescharacteristic, complemented
114C61×#482C2211yescharacteristic, complemented
115C61×#482C2211yescharacteristic, complemented
116C61×#482C2211yescharacteristic, complemented
117C61×#481C2211yescharacteristic, complemented
118C61×#481C2211yescharacteristic, complemented
119C61×#480C2211yescharacteristic, complemented
120C61×#480C2211yescharacteristic, complemented
121C61×#479C2211yescharacteristic, complemented
122C61×#479C2211yescharacteristic, complemented
123C61×#479C2211yescharacteristic, complemented
124C61×#478C2211yescharacteristic, complemented
125C61×#478C2211yescharacteristic, complemented
126C61×#478C2211yescharacteristic, complemented
127C61×#477C2211yescharacteristic, complemented
128C61×#477C2211yescharacteristic, complemented
129C61×#477C2211yescharacteristic, complemented
130C61×#476C2211yescharacteristic, complemented
131C61×#475C2211yescharacteristic, complemented
132C61×#475C2211yescharacteristic, complemented
133C61×#470C2211yescharacteristic, complemented
134C61×#470C2211yescharacteristic, complemented
135C61×#470C2211yescharacteristic, complemented
136C61×#469C2211yescharacteristic, complemented
137C61×#468C2211yescharacteristic, complemented
138C61×#468C2211yescharacteristic, complemented
139C61×#468C2211yescharacteristic, complemented
140C61×#468C2211yescharacteristic, complemented
141C61×#467C2211yescharacteristic, complemented
142C61×#467C2211yescharacteristic, complemented
143C61×#467C2211yescharacteristic, complemented
144C61×#466C2211yescharacteristic, complemented
145C61×#465C2211yescharacteristic, complemented
146C61×#465C2211yescharacteristic, complemented
147C61×#465C2211yescharacteristic, complemented
148C61×#465C2211yescharacteristic, complemented
149C61×#464C2211yescharacteristic, complemented
150C61×#463C2211yescharacteristic, complemented
151C61×#462C2211yescharacteristic, complemented
152C61×#461C2211yescharacteristic, complemented
153C61×#452C2211yescharacteristic
154C61×#452C2211yescharacteristic
155C61×#452C2211yescharacteristic
156C61×#452C2211yescharacteristic, complemented
157C61×#452C2211yescharacteristic, complemented
158C61×#451C2211yescharacteristic, complemented
159C61×#451C2211yescharacteristic, complemented
160C61×#449C2211yescharacteristic
161C61×#449C2211yescharacteristic, complemented
162C61×#449C2211yescharacteristic, complemented
163C61×#448C2211yescharacteristic, complemented
164C61×#448C2211yescharacteristic, complemented
165C61×#442C2211yescharacteristic, complemented
166C61×#441C2211yescharacteristic, complemented
167C61×#441C2211yescharacteristic, complemented
168C61×#441C2211yescharacteristic, complemented
169C61×#440C2211yescharacteristic, complemented
170C61×#440C2211yescharacteristic, complemented
171C61×#440C2211yescharacteristic, complemented
172C61×#440C2211yescharacteristic, complemented
173C61×#435C2211yescharacteristic
174C61×#435C2211yescharacteristic
175C61×#435C2211yescharacteristic
176C61×#435C2211yescharacteristic
177C61×#435C2211yescharacteristic
178C61×#435C2211yescharacteristic
179C61×#435C2211yescharacteristic
180C61×#435C2211yescharacteristic
181C61×#432C2211yescharacteristic
182C61×#432C2211yescharacteristic
183C61×#428C2211yescharacteristic, complemented
184C61×#428C2211yescharacteristic, complemented
185C61×#428C2211yescharacteristic, complemented
186C61×#428C2211yescharacteristic, complemented
187C61×#427C2211yescharacteristic, complemented
188C61×#427C2211yescharacteristic, complemented
189C2×#107×C61C2211yescharacteristic, complemented
190C2×#106×C61C2211yescharacteristic, complemented
191C61×#419C2211yescharacteristic, complemented
192C61×#419C2211yescharacteristic, complemented
193C61×#417C2211yescharacteristic, complemented
194C61×#417C2211yescharacteristic, complemented
195C61×#416C2211yescharacteristic, complemented
196C61×#416C2211yescharacteristic, complemented
197C2×#103×C61C2211yescharacteristic, complemented
198C2×#103×C61C2211yescharacteristic, complemented
199C61×#407C2211yescharacteristic
200C61×#407C2211yescharacteristic
201C2×C22⋊C8×C61C2211yescharacteristic
202C2×C22⋊C8×C61C2211yescharacteristic
203C2×#41×C61—21no—
204C2×#41×C61—21no—
205C2×#41×C61C2311yescharacteristic
206C2×#41×C61C2311yescharacteristic
207C2×#41×C61C2311yescharacteristic
208C22×Q8×C61C2311yescharacteristic
209C22×Q8×C61C2311yescharacteristic
210C22×D4×C61D411yescharacteristic
211C23×C4×C61C2311yescharacteristic
212C23×C4×C61C2311yescharacteristic
213C2×Q16×C61C2311yescharacteristic
214C2×Q16×C61C2311yescharacteristic
215C2×Q16×C61C2311yescharacteristic
216C2×SD16×C61C2311yescharacteristic
217C2×SD16×C61C2311yescharacteristic
218C2×SD16×C61C2311yescharacteristic
219C2×SD16×C61C2311yescharacteristic
220C2×D8×C61C2311yescharacteristic
221C2×M16×C61C2311yescharacteristic
222C2×M16×C61C2311yescharacteristic
223C2×M16×C61C2311yescharacteristic
224C2×M16×C61C2311yescharacteristic
225C22×C8×C61C2311yescharacteristic
226C22×C8×C61C2311yescharacteristic
227C22×C8×C61C2311yescharacteristic
228C22×C8×C61C2311yescharacteristic
229C4⋊Q8×C61—21no—
230C4⋊Q8×C61C2311yescharacteristic
231C4⋊Q8×C61C2311yescharacteristic
232C4⋊Q8×C61C2311yescharacteristic
233C4⋊Q8×C61C2311yescharacteristic
234#126×C61—21no—
235#126×C61—21no—
236#126×C61—21no—
237#126×C61—21no—
238#126×C61—21no—
239#126×C61—21no—
240#126×C61—21no—
241#126×C61—21no—
242#126×C61—21no—
243#126×C61—21no—
244#126×C61—21no—
245#125×C61—21no—
246#125×C61—21no—
247#125×C61—21no—
248#125×C61—21no—
249#125×C61—21no—
250#125×C61—21no—
251#125×C61C2311yescharacteristic
252#125×C61C2311yescharacteristic
253#125×C61C2311yescharacteristic
254#124×C61—21no—
255#124×C61—21no—
256#124×C61—21no—
257#124×C61—21no—
258#124×C61—21no—
259#124×C61—21no—
260#124×C61C2311yescharacteristic
261#123×C61—21no—
262#123×C61—21no—
263#123×C61—21no—
264#123×C61—21no—
265#123×C61—21no—
266#123×C61—21no—
267#123×C61—21no—
268#123×C61—21no—
269#123×C61—21no—
270#123×C61—21no—
271#123×C61—21no—
272#123×C61—21no—
273#123×C61—21no—
274#123×C61—21no—
275#123×C61—21no—
276#123×C61—21no—
277#123×C61—21no—
278C22⋊Q8×C61—21no—
279C22⋊Q8×C61—21no—
280C22⋊Q8×C61—21no—
281C22⋊Q8×C61—21no—
282C22⋊Q8×C61—21no—
283C22⋊Q8×C61—21no—
284C22⋊Q8×C61—21no—
285C22⋊Q8×C61—21no—
286C22⋊Q8×C61—21no—
287C22⋊Q8×C61—21no—
288C22⋊Q8×C61—21no—
289C22⋊Q8×C61—21no—
290C22⋊Q8×C61—21no—
291C22⋊Q8×C61—21no—
292C22⋊Q8×C61—21no—
293C22⋊Q8×C61C2311yescharacteristic
294C22⋊Q8×C61C2311yescharacteristic
295C22⋊Q8×C61C2311yescharacteristic
296C22⋊Q8×C61C2311yescharacteristic
297C22⋊Q8×C61C2311yescharacteristic
298C22⋊Q8×C61C2311yescharacteristic
299C22⋊Q8×C61C2311yescharacteristic
300C22⋊Q8×C61C2311yescharacteristic
301C22⋊Q8×C61C2311yescharacteristic
302C22⋊Q8×C61C2311yescharacteristic
303C22⋊Q8×C61C2311yescharacteristic
304C22⋊Q8×C61C2311yescharacteristic
305C22⋊Q8×C61C2311yescharacteristic
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×C61C2311yescharacteristic
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—
321#120×C61—21no—
322#120×C61—21no—
323C4×Q8×C61—21no—
324C4×Q8×C61—21no—
325C4×Q8×C61—21no—
326C4×Q8×C61—21no—
327C4×Q8×C61—21no—
328C4×Q8×C61C2311yescharacteristic
329C4×Q8×C61C2311yescharacteristic
330C4×Q8×C61C2311yescharacteristic
331C4×Q8×C61C2311yescharacteristic
332C4×Q8×C61C2311yescharacteristic
333C4×D4×C61—21no—
334C4×D4×C61—21no—
335C4×D4×C61—21no—
336C4×D4×C61—21no—
337C4×D4×C61—21no—
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×C61D411yescharacteristic
351C4×D4×C61D411yescharacteristic
352C4×D4×C61D411yescharacteristic
353C4×D4×C61D411yescharacteristic
354C4×D4×C61C2311yescharacteristic
355C4×D4×C61C2311yescharacteristic
356C4×D4×C61C2311yescharacteristic
357C4×D4×C61C2311yescharacteristic
358C4×D4×C61C2311yescharacteristic
359C4×D4×C61C2311yescharacteristic
360C4×D4×C61C2311yescharacteristic
361#117×C61—21no—
362#117×C61—21no—
363#117×C61—21no—
364#117×C61—21no—
365#117×C61—21no—
366#117×C61—21no—
367#117×C61—21no—
368#117×C61—21no—
369#117×C61—21no—
370#117×C61—21no—
371#117×C61—21no—
372#117×C61—21no—
373#117×C61C2311yescharacteristic
374#117×C61C2311yescharacteristic
375#117×C61C2311yescharacteristic
376#117×C61C2311yescharacteristic
377#117×C61C2311yescharacteristic
378#117×C61C2311yescharacteristic
379#117×C61C2311yescharacteristic
380#117×C61C2311yescharacteristic
381#117×C61C2311yescharacteristic
382C2×C4⋊C4×C61—21no—
383C2×C4⋊C4×C61—21no—
384C2×C4⋊C4×C61—21no—
385C2×C4⋊C4×C61D411yescharacteristic
386C2×C4⋊C4×C61C2311yescharacteristic
387C2×C4⋊C4×C61C2311yescharacteristic
388C2×C4⋊C4×C61C2311yescharacteristic
389C2×C4⋊C4×C61C2311yescharacteristic
390C2×C4⋊C4×C61C2311yescharacteristic
391C2×C4⋊C4×C61C2311yescharacteristic
392C2×C22⋊C4×C61—21no—
393C2×C22⋊C4×C61—21no—
394C2×C22⋊C4×C61—21no—
395C2×C22⋊C4×C61—21no—
396C2×C22⋊C4×C61D411yescharacteristic
397C2×C22⋊C4×C61D411yescharacteristic
398C2×C42×C61—21no—
399C2×C42×C61—21no—
400C2×C42×C61—21no—
401C2×C42×C61C2311yescharacteristic
402#107×C61C2311yescharacteristic
403#107×C61C2311yescharacteristic
404#107×C61C2311yescharacteristic
405#107×C61C2311yescharacteristic
406#107×C61C2311yescharacteristic
407#107×C61C2311yescharacteristic
408#107×C61C2311yescharacteristic
409#107×C61C2311yescharacteristic
410#107×C61C2311yescharacteristic
411#107×C61C2311yescharacteristic
412#107×C61C2311yescharacteristic
413#107×C61C2311yescharacteristic
414#106×C61C2311yescharacteristic
415#106×C61C2311yescharacteristic
416#106×C61C2311yescharacteristic
417#106×C61C2311yescharacteristic
418#106×C61C2311yescharacteristic
419#106×C61C2311yescharacteristic
420#106×C61C2311yescharacteristic
421#106×C61C2311yescharacteristic
422#106×C61C2311yescharacteristic
423#106×C61C2311yescharacteristic
424#106×C61C2311yescharacteristic
425#106×C61C2311yescharacteristic
426C4⋊C8×C61C2311yescharacteristic
427C4⋊C8×C61C2311yescharacteristic
428C4⋊C8×C61C2311yescharacteristic
429C4⋊C8×C61C2311yescharacteristic
430#103×C61C2311yescharacteristic
431#103×C61C2311yescharacteristic
432#103×C61C2311yescharacteristic
433#103×C61C2311yescharacteristic
434#103×C61C2311yescharacteristic
435#103×C61C2311yescharacteristic
436#103×C61C2311yescharacteristic
437#103×C61C2311yescharacteristic
438#103×C61C2311yescharacteristic
439#103×C61C2311yescharacteristic
440#103×C61C2311yescharacteristic
441#103×C61C2311yescharacteristic
442#103×C61C2311yescharacteristic
443#103×C61C2311yescharacteristic
444#103×C61C2311yescharacteristic
445#103×C61C2311yescharacteristic
446#103×C61C2311yescharacteristic
447#103×C61C2311yescharacteristic
448#103×C61C2311yescharacteristic
449#103×C61C2311yescharacteristic
450#103×C61C2311yescharacteristic
451#103×C61C2311yescharacteristic
452#102×C61C2311yescharacteristic
453#102×C61C2311yescharacteristic
454#102×C61C2311yescharacteristic
455#102×C61C2311yescharacteristic
456#102×C61C2311yescharacteristic
457#102×C61C2311yescharacteristic
458#102×C61C2311yescharacteristic
459#102×C61C2311yescharacteristic
460#102×C61C2311yescharacteristic
461#102×C61C2311yescharacteristic
462C22⋊C8×C61C2311yescharacteristic
463C22⋊C8×C61C2311yescharacteristic
464C22⋊C8×C61C2311yescharacteristic
465C22⋊C8×C61C2311yescharacteristic
466C22⋊C8×C61C2311yescharacteristic
467C22⋊C8×C61C2311yescharacteristic
468C22⋊C8×C61C2311yescharacteristic
469C22⋊C8×C61C2311yescharacteristic
470C22⋊C8×C61C2311yescharacteristic
471C22⋊C8×C61C2311yescharacteristic
472C22⋊C8×C61C2311yescharacteristic
473C22⋊C8×C61C2311yescharacteristic
474#97×C61C2311yescharacteristic
475#97×C61C2311yescharacteristic
476#97×C61C2311yescharacteristic
477#97×C61C2311yescharacteristic
478C24×C61C2×D411yescharacteristic
479C24×C61C2×D411yescharacteristic
480#41×C61—41no—
481#41×C61—41no—
482#41×C61—41no—
483#41×C61—41no—
484#41×C61—41no—
485#41×C61—41no—
486#41×C61—44no—
487#41×C61—44no—
488C2×Q8×C61—21no—
489C2×Q8×C61—21no—
490C2×Q8×C61—21no—
491C2×Q8×C61—21no—
492C2×Q8×C61—21no—
493C2×Q8×C61—41no—
494C2×Q8×C61—41no—
495C2×Q8×C61—41no—
496C2×Q8×C61—41no—
497C2×Q8×C61C2411yescharacteristic
498C2×Q8×C61C2411yescharacteristic
499C2×Q8×C61C2411yescharacteristic
500C2×Q8×C61C2411yescharacteristic
501C2×D4×C61—21no—
502C2×D4×C61—21no—
503C2×D4×C61—21no—
504C2×D4×C61—21no—
505C2×D4×C61—21no—
506C2×D4×C61—21no—
507C2×D4×C61—21no—
508C2×D4×C61—21no—
509C2×D4×C61—21no—
510C2×D4×C61—21no—
511C2×D4×C61—42no—
512C2×D4×C61C2×D411yescharacteristic
513C2×D4×C61C2×D411yescharacteristic
514C2×D4×C61C2×D411yescharacteristic
515C2×D4×C61C2×D411yescharacteristic
516C2×D4×C61C2411yescharacteristic
517C2×D4×C61C2411yescharacteristic
518C22×C4×C61—21no—
519C22×C4×C61—21no—
520C22×C4×C61—21no—
521C22×C4×C61—21no—
522C22×C4×C61—21no—
523C22×C4×C61—21no—
524C22×C4×C61—21no—
525C22×C4×C61—21no—
526C22×C4×C61—21no—
527C22×C4×C61—21no—
528C22×C4×C61—21no—
529C22×C4×C61—21no—
530C22×C4×C61—21no—
531C22×C4×C61—21no—
532C22×C4×C61—41no—
533C22×C4×C61—41no—
534C22×C4×C61—41no—
535C22×C4×C61—41no—
536C22×C4×C61C2×D411yescharacteristic
537C22×C4×C61C2×D411yescharacteristic
538C22×C4×C61C2×D411yescharacteristic
539C22×C4×C61C2×D411yescharacteristic
540C22×C4×C61C2×D411yescharacteristic
541C22×C4×C61C2×D411yescharacteristic
542C22×C4×C61C2×D411yescharacteristic
543C22×C4×C61C2×D411yescharacteristic
544C22×C4×C61C2411yescharacteristic
545C22×C4×C61C2411yescharacteristic
546C22×C4×C61C2411yescharacteristic
547C22×C4×C61C2411yescharacteristic
548C22×C4×C61C2411yescharacteristic
549Q16×C61—41no—
550Q16×C61—41no—
551Q16×C61—41no—
552SD16×C61—41no—
553SD16×C61—41no—
554SD16×C61—41no—
555SD16×C61—41no—
556D8×C61—41no—
557M16×C61—41no—
558M16×C61—41no—
559M16×C61—41no—
560M16×C61—41no—
561C2×C8×C61—41no—
562C2×C8×C61—41no—
563C2×C8×C61—41no—
564C2×C8×C61—41no—
565C2×C8×C61C2411yescharacteristic
566C2×C8×C61C2411yescharacteristic
567C2×C8×C61C2411yescharacteristic
568C2×C8×C61C2411yescharacteristic
569C2×C8×C61C2411yescharacteristic
570C2×C8×C61C2411yescharacteristic
571C2×C8×C61C2411yescharacteristic
572C2×C8×C61C2411yescharacteristic
573C4⋊C4×C61—21no—
574C4⋊C4×C61—21no—
575C4⋊C4×C61—21no—
576C4⋊C4×C61—21no—
577C4⋊C4×C61—21no—
578C4⋊C4×C61—21no—
579C4⋊C4×C61—21no—
580C4⋊C4×C61—21no—
581C4⋊C4×C61—21no—
582C4⋊C4×C61—21no—
583C4⋊C4×C61—21no—
584C4⋊C4×C61—21no—
585C4⋊C4×C61—21no—
586C4⋊C4×C61—21no—
587C4⋊C4×C61—21no—
588C4⋊C4×C61—21no—
589C4⋊C4×C61—21no—
590C4⋊C4×C61—21no—
591C4⋊C4×C61—21no—
592C4⋊C4×C61—21no—
593C4⋊C4×C61—21no—
594C4⋊C4×C61—21no—
595C4⋊C4×C61—21no—
596C4⋊C4×C61—21no—
597C4⋊C4×C61—21no—
598C4⋊C4×C61—21no—
599C4⋊C4×C61—21no—
600C4⋊C4×C61—21no—
601C4⋊C4×C61—21no—
602C4⋊C4×C61—21no—
603C4⋊C4×C61—21no—
604C4⋊C4×C61—21no—
605C4⋊C4×C61—21no—
606C4⋊C4×C61—21no—
607C4⋊C4×C61—21no—
608C4⋊C4×C61C2×D411yescharacteristic
609C4⋊C4×C61C2×D411yescharacteristic
610C4⋊C4×C61C2×D411yescharacteristic
611C4⋊C4×C61C2×D411yescharacteristic
612C4⋊C4×C61C2411yescharacteristic
613C4⋊C4×C61C2411yescharacteristic
614C4⋊C4×C61C2411yescharacteristic
615C4⋊C4×C61C2411yescharacteristic
616C4⋊C4×C61C2411yescharacteristic
617C4⋊C4×C61C2411yescharacteristic
618C4⋊C4×C61C2411yescharacteristic
619C4⋊C4×C61C2411yescharacteristic
620C4⋊C4×C61C2411yescharacteristic
621C4⋊C4×C61C2411yescharacteristic
622C22⋊C4×C61—21no—
623C22⋊C4×C61—21no—
624C22⋊C4×C61—21no—
625C22⋊C4×C61—21no—
626C22⋊C4×C61—21no—
627C22⋊C4×C61—21no—
628C22⋊C4×C61—21no—
629C22⋊C4×C61—21no—
630C22⋊C4×C61—21no—
631C22⋊C4×C61—21no—
632C22⋊C4×C61—21no—
633C22⋊C4×C61—21no—
634C22⋊C4×C61—21no—
635C22⋊C4×C61—21no—
636C22⋊C4×C61—21no—
637C22⋊C4×C61—21no—
638C22⋊C4×C61—21no—
639C22⋊C4×C61—21no—
640C22⋊C4×C61—21no—
641C22⋊C4×C61—21no—
642C22⋊C4×C61—21no—
643C22⋊C4×C61—21no—
644C22⋊C4×C61—21no—
645C22⋊C4×C61—21no—
646C22⋊C4×C61—21no—
647C22⋊C4×C61—21no—
648C22⋊C4×C61—21no—
649C22⋊C4×C61—21no—
650C22⋊C4×C61—21no—
651C22⋊C4×C61—21no—
652C22⋊C4×C61—21no—
653C22⋊C4×C61—21no—
654C22⋊C4×C61—21no—
655C22⋊C4×C61—21no—
656C22⋊C4×C61C2×D411yescharacteristic
657C22⋊C4×C61C2×D411yescharacteristic
658C22⋊C4×C61C2×D411yescharacteristic
659C22⋊C4×C61C2×D411yescharacteristic
660C22⋊C4×C61C2×D411yescharacteristic
661C22⋊C4×C61C2×D411yescharacteristic
662C22⋊C4×C61C2×D411yescharacteristic
663C22⋊C4×C61C2×D411yescharacteristic
664C42×C61—21no—
665C42×C61—21no—
666C42×C61—21no—
667C42×C61—21no—
668C42×C61—21no—
669C42×C61—21no—
670C42×C61—21no—
671C42×C61—21no—
672C42×C61—21no—
673C42×C61—21no—
674C42×C61—21no—
675C42×C61—21no—
676C42×C61—21no—
677C42×C61—21no—
678C42×C61C2×D411yescharacteristic
679C42×C61C2×D411yescharacteristic
680C42×C61C2411yescharacteristic
681C42×C61C2411yescharacteristic
682C23×C61—22no—
683C23×C61—21no—
684C23×C61—21no—
685C23×C61—41no—
686C23×C61—41no—
687C23×C61—41no—
688C23×C61—41no—
689C23×C61—41no—
690C23×C61C22×D411yescharacteristic
691C23×C61C22×D411yescharacteristic
692C23×C61C22×D411yescharacteristic
693C23×C61C22×D411yescharacteristic
694C23×C61C22×D411yescharacteristic
695Q8×C61—21no—
696Q8×C61—21no—
697Q8×C61—21no—
698Q8×C61—21no—
699Q8×C61—21no—
700Q8×C61—21no—
701Q8×C61—21no—
702Q8×C61—21no—
703Q8×C61—42no—
704Q8×C61—42no—
705Q8×C61—81no—
706Q8×C61—81no—
707Q8×C61—81no—
708D4×C61—22no—
709D4×C61—22no—
710D4×C61—21no—
711D4×C61—21no—
712D4×C61—21no—
713D4×C61—21no—
714D4×C61—41no—
715D4×C61—41no—
716D4×C61—42no—
717D4×C61—42no—
718D4×C61—42no—
719D4×C61—42no—
720D4×C61—42no—
721D4×C61—42no—
722D4×C61—81no—
723D4×C61—81no—
724D4×C61—81no—
725D4×C61—81no—
726C2×C4×C61—21no—
727C2×C4×C61—21no—
728C2×C4×C61—21no—
729C2×C4×C61—21no—
730C2×C4×C61—21no—
731C2×C4×C61—21no—
732C2×C4×C61—21no—
733C2×C4×C61—21no—
734C2×C4×C61—21no—
735C2×C4×C61—21no—
736C2×C4×C61—21no—
737C2×C4×C61—21no—
738C2×C4×C61—21no—
739C2×C4×C61—21no—
740C2×C4×C61—21no—
741C2×C4×C61—21no—
742C2×C4×C61—21no—
743C2×C4×C61—21no—
744C2×C4×C61—21no—
745C2×C4×C61—21no—
746C2×C4×C61—21no—
747C2×C4×C61—21no—
748C2×C4×C61—21no—
749C2×C4×C61—21no—
750C2×C4×C61—41no—
751C2×C4×C61—41no—
752C2×C4×C61—41no—
753C2×C4×C61—41no—
754C2×C4×C61—41no—
755C2×C4×C61—41no—
756C2×C4×C61—41no—
757C2×C4×C61—41no—
758C2×C4×C61—42no—
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—81no—
766C2×C4×C61—81no—
767C2×C4×C61—81no—
768C2×C4×C61—81no—
769C2×C4×C61—81no—
770C2×C4×C61—81no—
771C2×C4×C61—81no—
772C2×C4×C61C22×D411yescharacteristic
773C2×C4×C61C22×D411yescharacteristic
774C2×C4×C61C22×D411yescharacteristic
775C2×C4×C61C22×D411yescharacteristic
776C2×C4×C61C22×D411yescharacteristic
777C2×C4×C61C22×D411yescharacteristic
778C2×C4×C61C22×D411yescharacteristic
779C2×C4×C61C22×D411yescharacteristic
780C2×C4×C61C22×D411yescharacteristic
781C2×C4×C61C2511yescharacteristic
782C8×C61—21no—
783C8×C61—21no—
784C8×C61—21no—
785C8×C61—21no—
786C8×C61—21no—
787C8×C61—21no—
788C8×C61—21no—
789C8×C61—21no—
790#61715C6111yesmaximal, characteristic, direct product factor, Sylow
791C22×C61—21no—
792C22×C61—21no—
793C22×C61—21no—
794C22×C61—21no—
795C22×C61—21no—
796C22×C61—21no—
797C22×C61—21no—
798C22×C61—21no—
799C22×C61—21no—
800C22×C61—21no—
801C22×C61—21no—
802C22×C61—21no—
803C22×C61—21no—
804C22×C61—21no—
805C22×C61—41no—
806C22×C61—41no—
807C22×C61—41no—
808C22×C61—41no—
809C22×C61—41no—
810C22×C61—41no—
811C22×C61—82no—
812C22×C61—82no—
813C22×C61#57512yes—
814C22×C61C23×D411yescharacteristic
815C4×C61—21no—
816C4×C61—21no—
817C4×C61—21no—
818C4×C61—21no—
819C4×C61—21no—
820C4×C61—21no—
821C4×C61—21no—
822C4×C61—21no—
823C4×C61—21no—
824C4×C61—41no—
825C4×C61—41no—
826C4×C61—41no—
827C4×C61—41no—
828C4×C61—41no—
829C4×C61—41no—
830C4×C61—41no—
831C4×C61—41no—
832C4×C61—41no—
833C4×C61—41no—
834C4×C61—41no—
835C4×C61—41no—
836C4×C61—41no—
837C4×C61—41no—
838C4×C61#58511yescharacteristic
839C4×C61#58511yescharacteristic
840#3520C2×C6111yescharacteristic, complemented
841#3475C2×C6111yescharacteristic, complemented
842#3350C2×C6111yescharacteristic, complemented
843#3349C2×C6111yescharacteristic, complemented
844#3349C2×C6111yescharacteristic, complemented
845#3348C2×C6111yescharacteristic, complemented
846#3345C2×C6111yescharacteristic, complemented
847#3344C2×C6111yescharacteristic, complemented
848#3343C2×C6111yescharacteristic, complemented
849#3343C2×C6111yescharacteristic, complemented
850#3321C2×C6111yescharacteristic, complemented
851#3320C2×C6111yescharacteristic, complemented
852#3316C2×C6111yescharacteristic, complemented
853#3315C2×C6111yescharacteristic, complemented
854#3313C2×C6111yescharacteristic, complemented
855#3312C2×C6111yescharacteristic, complemented
856#3308C2×C6111yescharacteristic, complemented
857#3307C2×C6111yescharacteristic, complemented
858#3240C2×C6111yescharacteristic, complemented
859#3237C2×C6111yescharacteristic, complemented
860#3197C2×C6111yescharacteristic, complemented
861#3196C2×C6111yescharacteristic, complemented
862#3191C2×C6111yescharacteristic, complemented
863#3190C2×C6111yescharacteristic, complemented
864#3116C2×C6111yescharacteristic, complemented
865#3111C2×C6111yescharacteristic, complemented
866#3095C2×C6111yescharacteristic, complemented
867#3093C2×C6111yescharacteristic, complemented
868#3091C2×C6111yescharacteristic, complemented
869C2×#485C2×C6111yescharacteristic, complemented
870#2973C2×C6111yescharacteristic, complemented
871C2×C61—22no—
872C2×C61—41no—
873C2×C61—41no—
874C2×C61—41no—
875C2×C61—41no—
876C2×C61—81no—
877C2×C61—81no—
878C2×C61#348511yescharacteristic
879C2×C61C2×#57511yescharacteristic
880C2×C61#358611yescharacteristic
881#556C22×C6111yescharacteristic
882#556C22×C6111yescharacteristic
883#555C22×C6111yescharacteristic
884#554—21no—
885#554C22×C6111yescharacteristic
886#553C22×C6111yescharacteristic
887#553C22×C6111yescharacteristic
888#552—21no—
889#552C22×C6111yescharacteristic
890#552C22×C6111yescharacteristic
891#552C22×C6111yescharacteristic
892#552C22×C6111yescharacteristic
893#551—21no—
894#551—21no—
895#551—21no—
896#551—21no—
897D4×Q8C22×C6111yescharacteristic
898#548C22×C6111yescharacteristic
899#548C22×C6111yescharacteristic
900#547C22×C6111yescharacteristic
901#547C22×C6111yescharacteristic
902#547C22×C6111yescharacteristic
903#546—21no—
904#546—21no—
905#542—21no—
906#539—21no—
907#539—21no—
908#533C22×C6111yescharacteristic
909#533C22×C6111yescharacteristic
910#529—21no—
911#529—21no—
912#529—21no—
913#529C22×C6111yescharacteristic
914#525C22×C6111yescharacteristic
915#525C22×C6111yescharacteristic
916#525C22×C6111yescharacteristic
917#525C22×C6111yescharacteristic
918C2×C22⋊Q8C22×C6111yescharacteristic
919C2×C22⋊Q8C22×C6111yescharacteristic
920#520—21no—
921C4×#41—21no—
922C4×#41C22×C6111yescharacteristic
923C2×C4×D4C22×C6111yescharacteristic
924C2×#117C22×C6111yescharacteristic
925C2×#117C22×C6111yescharacteristic
926#501C22×C6111yescharacteristic, complemented
927#501C22×C6111yescharacteristic, complemented
928#501C22×C6111yescharacteristic, complemented
929#501C22×C6111yescharacteristic, complemented
930#491C22×C6111yescharacteristic, complemented
931#491C22×C6111yescharacteristic, complemented
932#489C22×C6111yescharacteristic, complemented
933#489C22×C6111yescharacteristic, complemented
934#485C22×C6111yescharacteristic
935#485C22×C6111yescharacteristic
936#485C22×C6111yescharacteristic
937#485C22×C6111yescharacteristic
938#485C22×C6111yescharacteristic
939#485C22×C6111yescharacteristic
940#485C22×C6111yescharacteristic
941#485C22×C6111yescharacteristic
942#485C22×C6111yescharacteristic
943#485C22×C6111yescharacteristic, complemented
944#485C22×C6111yescharacteristic, complemented
945#485C22×C6111yescharacteristic, complemented
946#485C22×C6111yescharacteristic, complemented
947#485C22×C6111yescharacteristic, complemented
948#485C22×C6111yescharacteristic, complemented
949#485C22×C6111yescharacteristic, complemented
950#485C22×C6111yescharacteristic, complemented
951#484C22×C6111yescharacteristic, complemented
952#484C22×C6111yescharacteristic, complemented
953#484C22×C6111yescharacteristic, complemented
954#484C22×C6111yescharacteristic, complemented
955#483C22×C6111yescharacteristic, complemented
956#483C22×C6111yescharacteristic, complemented
957#483C22×C6111yescharacteristic, complemented
958#483C22×C6111yescharacteristic, complemented
959#482C22×C6111yescharacteristic
960#482C22×C6111yescharacteristic
961#482C22×C6111yescharacteristic
962#482C22×C6111yescharacteristic, complemented
963#482C22×C6111yescharacteristic, complemented
964#482C22×C6111yescharacteristic, complemented
965#482C22×C6111yescharacteristic, complemented
966#481C22×C6111yescharacteristic, complemented
967#481C22×C6111yescharacteristic, complemented
968#480C22×C6111yescharacteristic, complemented
969#480C22×C6111yescharacteristic, complemented
970#479C22×C6111yescharacteristic, complemented
971#479C22×C6111yescharacteristic, complemented
972#479C22×C6111yescharacteristic, complemented
973#478C22×C6111yescharacteristic, complemented
974#478C22×C6111yescharacteristic, complemented
975#478C22×C6111yescharacteristic, complemented
976#477C22×C6111yescharacteristic, complemented
977#477C22×C6111yescharacteristic, complemented
978#477C22×C6111yescharacteristic, complemented
979#476C22×C6111yescharacteristic, complemented
980#475C22×C6111yescharacteristic, complemented
981#475C22×C6111yescharacteristic, complemented
982#470C22×C6111yescharacteristic, complemented
983#470C22×C6111yescharacteristic, complemented
984#470C22×C6111yescharacteristic, complemented
985#469C22×C6111yescharacteristic, complemented
986#468C22×C6111yescharacteristic, complemented
987#468C22×C6111yescharacteristic, complemented
988#468C22×C6111yescharacteristic, complemented
989#468C22×C6111yescharacteristic, complemented
990#467C22×C6111yescharacteristic, complemented
991#467C22×C6111yescharacteristic, complemented
992#467C22×C6111yescharacteristic, complemented
993#466C22×C6111yescharacteristic, complemented
994#465C22×C6111yescharacteristic, complemented
995#465C22×C6111yescharacteristic, complemented
996#465C22×C6111yescharacteristic, complemented
997#465C22×C6111yescharacteristic, complemented
998#464C22×C6111yescharacteristic, complemented
999#463C22×C6111yescharacteristic, complemented
1000#462C22×C6111yescharacteristic, complemented
1001#461C22×C6111yescharacteristic, complemented
1002#452C22×C6111yescharacteristic
1003#452C22×C6111yescharacteristic
1004#452C22×C6111yescharacteristic
1005#452C22×C6111yescharacteristic, complemented
1006#452C22×C6111yescharacteristic, complemented
1007#451C22×C6111yescharacteristic, complemented
1008#451C22×C6111yescharacteristic, complemented
1009#449C22×C6111yescharacteristic
1010#449C22×C6111yescharacteristic, complemented
1011#449C22×C6111yescharacteristic, complemented
1012#448C22×C6111yescharacteristic, complemented
1013#448C22×C6111yescharacteristic, complemented
1014#442C22×C6111yescharacteristic, complemented
1015#441C22×C6111yescharacteristic, complemented
1016#441C22×C6111yescharacteristic, complemented
1017#441C22×C6111yescharacteristic, complemented
1018#440C22×C6111yescharacteristic, complemented
1019#440C22×C6111yescharacteristic, complemented
1020#440C22×C6111yescharacteristic, complemented
1021#440C22×C6111yescharacteristic, complemented
1022#435C22×C6111yescharacteristic
1023#435C22×C6111yescharacteristic
1024#435C22×C6111yescharacteristic
1025#435C22×C6111yescharacteristic
1026#435C22×C6111yescharacteristic
1027#435C22×C6111yescharacteristic
1028#435C22×C6111yescharacteristic
1029#435C22×C6111yescharacteristic
1030#432C22×C6111yescharacteristic
1031#432C22×C6111yescharacteristic
1032#428C22×C6111yescharacteristic, complemented
1033#428C22×C6111yescharacteristic, complemented
1034#428C22×C6111yescharacteristic, complemented
1035#428C22×C6111yescharacteristic, complemented
1036#427C22×C6111yescharacteristic, complemented
1037#427C22×C6111yescharacteristic, complemented
1038C2×#107C22×C6111yescharacteristic, complemented
1039C2×#106C22×C6111yescharacteristic, complemented
1040#419C22×C6111yescharacteristic, complemented
1041#419C22×C6111yescharacteristic, complemented
1042#417C22×C6111yescharacteristic, complemented
1043#417C22×C6111yescharacteristic, complemented
1044#416C22×C6111yescharacteristic, complemented
1045#416C22×C6111yescharacteristic, complemented
1046C2×#103C22×C6111yescharacteristic, complemented
1047C2×#103C22×C6111yescharacteristic, complemented
1048#407C22×C6111yescharacteristic
1049#407C22×C6111yescharacteristic
1050C2×C22⋊C8C22×C6111yescharacteristic
1051C2×C22⋊C8C22×C6111yescharacteristic
1052C61#6171511yescharacteristic, direct product factor, Sylow
1053C2×#41—21no—
1054C2×#41—21no—
1055C2×#41C23×C6111yescharacteristic
1056C2×#41C23×C6111yescharacteristic
1057C2×#41C23×C6111yescharacteristic
1058C22×Q8C23×C6111yescharacteristic
1059C22×Q8C23×C6111yescharacteristic
1060C22×D4D4×C6111yescharacteristic
1061C23×C4C23×C6111yescharacteristic
1062C23×C4C23×C6111yescharacteristic
1063C2×Q16C23×C6111yescharacteristic
1064C2×Q16C23×C6111yescharacteristic
1065C2×Q16C23×C6111yescharacteristic
1066C2×SD16C23×C6111yescharacteristic
1067C2×SD16C23×C6111yescharacteristic
1068C2×SD16C23×C6111yescharacteristic
1069C2×SD16C23×C6111yescharacteristic
1070C2×D8C23×C6111yescharacteristic
1071C2×M16C23×C6111yescharacteristic
1072C2×M16C23×C6111yescharacteristic
1073C2×M16C23×C6111yescharacteristic
1074C2×M16C23×C6111yescharacteristic
1075C22×C8C23×C6111yescharacteristic
1076C22×C8C23×C6111yescharacteristic
1077C22×C8C23×C6111yescharacteristic
1078C22×C8C23×C6111yescharacteristic
1079C4⋊Q8—21no—
1080C4⋊Q8C23×C6111yescharacteristic
1081C4⋊Q8C23×C6111yescharacteristic
1082C4⋊Q8C23×C6111yescharacteristic
1083C4⋊Q8C23×C6111yescharacteristic
1084#126—21no—
1085#126—21no—
1086#126—21no—
1087#126—21no—
1088#126—21no—
1089#126—21no—
1090#126—21no—
1091#126—21no—
1092#126—21no—
1093#126—21no—
1094#126—21no—
1095#125—21no—
1096#125—21no—
1097#125—21no—
1098#125—21no—
1099#125—21no—
1100#125—21no—
1101#125C23×C6111yescharacteristic
1102#125C23×C6111yescharacteristic
1103#125C23×C6111yescharacteristic
1104#124—21no—
1105#124—21no—
1106#124—21no—
1107#124—21no—
1108#124—21no—
1109#124—21no—
1110#124C23×C6111yescharacteristic
1111#123—21no—
1112#123—21no—
1113#123—21no—
1114#123—21no—
1115#123—21no—
1116#123—21no—
1117#123—21no—
1118#123—21no—
1119#123—21no—
1120#123—21no—
1121#123—21no—
1122#123—21no—
1123#123—21no—
1124#123—21no—
1125#123—21no—
1126#123—21no—
1127#123—21no—
1128C22⋊Q8—21no—
1129C22⋊Q8—21no—
1130C22⋊Q8—21no—
1131C22⋊Q8—21no—
1132C22⋊Q8—21no—
1133C22⋊Q8—21no—
1134C22⋊Q8—21no—
1135C22⋊Q8—21no—
1136C22⋊Q8—21no—
1137C22⋊Q8—21no—
1138C22⋊Q8—21no—
1139C22⋊Q8—21no—
1140C22⋊Q8—21no—
1141C22⋊Q8—21no—
1142C22⋊Q8—21no—
1143C22⋊Q8C23×C6111yescharacteristic
1144C22⋊Q8C23×C6111yescharacteristic
1145C22⋊Q8C23×C6111yescharacteristic
1146C22⋊Q8C23×C6111yescharacteristic
1147C22⋊Q8C23×C6111yescharacteristic
1148C22⋊Q8C23×C6111yescharacteristic
1149C22⋊Q8C23×C6111yescharacteristic
1150C22⋊Q8C23×C6111yescharacteristic
1151C22⋊Q8C23×C6111yescharacteristic
1152C22⋊Q8C23×C6111yescharacteristic
1153C22⋊Q8C23×C6111yescharacteristic
1154C22⋊Q8C23×C6111yescharacteristic
1155C22⋊Q8C23×C6111yescharacteristic
1156#121—21no—
1157#121—21no—
1158#121—21no—
1159#121—21no—
1160#121—21no—
1161#121—21no—
1162#121C23×C6111yescharacteristic
1163#121C23×C6111yescharacteristic
1164#121C23×C6111yescharacteristic
1165#121C23×C6111yescharacteristic
1166#121C23×C6111yescharacteristic
1167#121C23×C6111yescharacteristic
1168#121C23×C6111yescharacteristic
1169#120—21no—
1170#120—21no—
1171#120—21no—
1172#120—21no—
1173C4×Q8—21no—
1174C4×Q8—21no—
1175C4×Q8—21no—
1176C4×Q8—21no—
1177C4×Q8—21no—
1178C4×Q8C23×C6111yescharacteristic
1179C4×Q8C23×C6111yescharacteristic
1180C4×Q8C23×C6111yescharacteristic
1181C4×Q8C23×C6111yescharacteristic
1182C4×Q8C23×C6111yescharacteristic
1183C4×D4—21no—
1184C4×D4—21no—
1185C4×D4—21no—
1186C4×D4—21no—
1187C4×D4—21no—
1188C4×D4—21no—
1189C4×D4—21no—
1190C4×D4—21no—
1191C4×D4—21no—
1192C4×D4—21no—
1193C4×D4—21no—
1194C4×D4—21no—
1195C4×D4—21no—
1196C4×D4—21no—
1197C4×D4—21no—
1198C4×D4—21no—
1199C4×D4—21no—
1200C4×D4D4×C6111yescharacteristic
1201C4×D4D4×C6111yescharacteristic
1202C4×D4D4×C6111yescharacteristic
1203C4×D4D4×C6111yescharacteristic
1204C4×D4C23×C6111yescharacteristic
1205C4×D4C23×C6111yescharacteristic
1206C4×D4C23×C6111yescharacteristic
1207C4×D4C23×C6111yescharacteristic
1208C4×D4C23×C6111yescharacteristic
1209C4×D4C23×C6111yescharacteristic
1210C4×D4C23×C6111yescharacteristic
1211#117—21no—
1212#117—21no—
1213#117—21no—
1214#117—21no—
1215#117—21no—
1216#117—21no—
1217#117—21no—
1218#117—21no—
1219#117—21no—
1220#117—21no—
1221#117—21no—
1222#117—21no—
1223#117C23×C6111yescharacteristic
1224#117C23×C6111yescharacteristic
1225#117C23×C6111yescharacteristic
1226#117C23×C6111yescharacteristic
1227#117C23×C6111yescharacteristic
1228#117C23×C6111yescharacteristic
1229#117C23×C6111yescharacteristic
1230#117C23×C6111yescharacteristic
1231#117C23×C6111yescharacteristic
1232C2×C4⋊C4—21no—
1233C2×C4⋊C4—21no—
1234C2×C4⋊C4—21no—
1235C2×C4⋊C4D4×C6111yescharacteristic
1236C2×C4⋊C4C23×C6111yescharacteristic
1237C2×C4⋊C4C23×C6111yescharacteristic
1238C2×C4⋊C4C23×C6111yescharacteristic
1239C2×C4⋊C4C23×C6111yescharacteristic
1240C2×C4⋊C4C23×C6111yescharacteristic
1241C2×C4⋊C4C23×C6111yescharacteristic
1242C2×C22⋊C4—21no—
1243C2×C22⋊C4—21no—
1244C2×C22⋊C4—21no—
1245C2×C22⋊C4—21no—
1246C2×C22⋊C4D4×C6111yescharacteristic
1247C2×C22⋊C4D4×C6111yescharacteristic
1248C2×C42—21no—
1249C2×C42—21no—
1250C2×C42—21no—
1251C2×C42C23×C6111yescharacteristic
1252#107C23×C6111yescharacteristic
1253#107C23×C6111yescharacteristic
1254#107C23×C6111yescharacteristic
1255#107C23×C6111yescharacteristic
1256#107C23×C6111yescharacteristic
1257#107C23×C6111yescharacteristic
1258#107C23×C6111yescharacteristic
1259#107C23×C6111yescharacteristic
1260#107C23×C6111yescharacteristic
1261#107C23×C6111yescharacteristic
1262#107C23×C6111yescharacteristic
1263#107C23×C6111yescharacteristic
1264#106C23×C6111yescharacteristic
1265#106C23×C6111yescharacteristic
1266#106C23×C6111yescharacteristic
1267#106C23×C6111yescharacteristic
1268#106C23×C6111yescharacteristic
1269#106C23×C6111yescharacteristic
1270#106C23×C6111yescharacteristic
1271#106C23×C6111yescharacteristic
1272#106C23×C6111yescharacteristic
1273#106C23×C6111yescharacteristic
1274#106C23×C6111yescharacteristic
1275#106C23×C6111yescharacteristic
1276C4⋊C8C23×C6111yescharacteristic
1277C4⋊C8C23×C6111yescharacteristic
1278C4⋊C8C23×C6111yescharacteristic
1279C4⋊C8C23×C6111yescharacteristic
1280#103C23×C6111yescharacteristic
1281#103C23×C6111yescharacteristic
1282#103C23×C6111yescharacteristic
1283#103C23×C6111yescharacteristic
1284#103C23×C6111yescharacteristic
1285#103C23×C6111yescharacteristic
1286#103C23×C6111yescharacteristic
1287#103C23×C6111yescharacteristic
1288#103C23×C6111yescharacteristic
1289#103C23×C6111yescharacteristic
1290#103C23×C6111yescharacteristic
1291#103C23×C6111yescharacteristic
1292#103C23×C6111yescharacteristic
1293#103C23×C6111yescharacteristic
1294#103C23×C6111yescharacteristic
1295#103C23×C6111yescharacteristic
1296#103C23×C6111yescharacteristic
1297#103C23×C6111yescharacteristic
1298#103C23×C6111yescharacteristic
1299#103C23×C6111yescharacteristic
1300#103C23×C6111yescharacteristic
1301#103C23×C6111yescharacteristic
1302#102C23×C6111yescharacteristic
1303#102C23×C6111yescharacteristic
1304#102C23×C6111yescharacteristic
1305#102C23×C6111yescharacteristic
1306#102C23×C6111yescharacteristic
1307#102C23×C6111yescharacteristic
1308#102C23×C6111yescharacteristic
1309#102C23×C6111yescharacteristic
1310#102C23×C6111yescharacteristic
1311#102C23×C6111yescharacteristic
1312C22⋊C8C23×C6111yescharacteristic
1313C22⋊C8C23×C6111yescharacteristic
1314C22⋊C8C23×C6111yescharacteristic
1315C22⋊C8C23×C6111yescharacteristic
1316C22⋊C8C23×C6111yescharacteristic
1317C22⋊C8C23×C6111yescharacteristic
1318C22⋊C8C23×C6111yescharacteristic
1319C22⋊C8C23×C6111yescharacteristic
1320C22⋊C8C23×C6111yescharacteristic
1321C22⋊C8C23×C6111yescharacteristic
1322C22⋊C8C23×C6111yescharacteristic
1323C22⋊C8C23×C6111yescharacteristic
1324#97C23×C6111yescharacteristic
1325#97C23×C6111yescharacteristic
1326#97C23×C6111yescharacteristic
1327#97C23×C6111yescharacteristic
1328C24C2×D4×C6111yescharacteristic
1329C24C2×D4×C6111yescharacteristic
1330#41—41no—
1331#41—41no—
1332#41—41no—
1333#41—41no—
1334#41—41no—
1335#41—41no—
1336#41—44no—
1337#41—44no—
1338C2×Q8—21no—
1339C2×Q8—21no—
1340C2×Q8—21no—
1341C2×Q8—21no—
1342C2×Q8—21no—
1343C2×Q8—41no—
1344C2×Q8—41no—
1345C2×Q8—41no—
1346C2×Q8—41no—
1347C2×Q8C24×C6111yescharacteristic
1348C2×Q8C24×C6111yescharacteristic
1349C2×Q8C24×C6111yescharacteristic
1350C2×Q8C24×C6111yescharacteristic
1351C2×D4—21no—
1352C2×D4—21no—
1353C2×D4—21no—
1354C2×D4—21no—
1355C2×D4—21no—
1356C2×D4—21no—
1357C2×D4—21no—
1358C2×D4—21no—
1359C2×D4—21no—
1360C2×D4—21no—
1361C2×D4—42no—
1362C2×D4C2×D4×C6111yescharacteristic
1363C2×D4C2×D4×C6111yescharacteristic
1364C2×D4C2×D4×C6111yescharacteristic
1365C2×D4C2×D4×C6111yescharacteristic
1366C2×D4C24×C6111yescharacteristic
1367C2×D4C24×C6111yescharacteristic
1368C22×C4—21no—
1369C22×C4—21no—
1370C22×C4—21no—
1371C22×C4—21no—
1372C22×C4—21no—
1373C22×C4—21no—
1374C22×C4—21no—
1375C22×C4—21no—
1376C22×C4—21no—
1377C22×C4—21no—
1378C22×C4—21no—
1379C22×C4—21no—
1380C22×C4—21no—
1381C22×C4—21no—
1382C22×C4—41no—
1383C22×C4—41no—
1384C22×C4—41no—
1385C22×C4—41no—
1386C22×C4C2×D4×C6111yescharacteristic
1387C22×C4C2×D4×C6111yescharacteristic
1388C22×C4C2×D4×C6111yescharacteristic
1389C22×C4C2×D4×C6111yescharacteristic
1390C22×C4C2×D4×C6111yescharacteristic
1391C22×C4C2×D4×C6111yescharacteristic
1392C22×C4C2×D4×C6111yescharacteristic
1393C22×C4C2×D4×C6111yescharacteristic
1394C22×C4C24×C6111yescharacteristic
1395C22×C4C24×C6111yescharacteristic
1396C22×C4C24×C6111yescharacteristic
1397C22×C4C24×C6111yescharacteristic
1398C22×C4C24×C6111yescharacteristic
1399Q16—41no—
1400Q16—41no—
1401Q16—41no—
1402SD16—41no—
1403SD16—41no—
1404SD16—41no—
1405SD16—41no—
1406D8—41no—
1407M16—41no—
1408M16—41no—
1409M16—41no—
1410M16—41no—
1411C2×C8—41no—
1412C2×C8—41no—
1413C2×C8—41no—
1414C2×C8—41no—
1415C2×C8C24×C6111yescharacteristic
1416C2×C8C24×C6111yescharacteristic
1417C2×C8C24×C6111yescharacteristic
1418C2×C8C24×C6111yescharacteristic
1419C2×C8C24×C6111yescharacteristic
1420C2×C8C24×C6111yescharacteristic
1421C2×C8C24×C6111yescharacteristic
1422C2×C8C24×C6111yescharacteristic
1423C4⋊C4—21no—
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—21no—
1428C4⋊C4—21no—
1429C4⋊C4—21no—
1430C4⋊C4—21no—
1431C4⋊C4—21no—
1432C4⋊C4—21no—
1433C4⋊C4—21no—
1434C4⋊C4—21no—
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—21no—
1441C4⋊C4—21no—
1442C4⋊C4—21no—
1443C4⋊C4—21no—
1444C4⋊C4—21no—
1445C4⋊C4—21no—
1446C4⋊C4—21no—
1447C4⋊C4—21no—
1448C4⋊C4—21no—
1449C4⋊C4—21no—
1450C4⋊C4—21no—
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—21no—
1454C4⋊C4—21no—
1455C4⋊C4—21no—
1456C4⋊C4—21no—
1457C4⋊C4—21no—
1458C4⋊C4C2×D4×C6111yescharacteristic
1459C4⋊C4C2×D4×C6111yescharacteristic
1460C4⋊C4C2×D4×C6111yescharacteristic
1461C4⋊C4C2×D4×C6111yescharacteristic
1462C4⋊C4C24×C6111yescharacteristic
1463C4⋊C4C24×C6111yescharacteristic
1464C4⋊C4C24×C6111yescharacteristic
1465C4⋊C4C24×C6111yescharacteristic
1466C4⋊C4C24×C6111yescharacteristic
1467C4⋊C4C24×C6111yescharacteristic
1468C4⋊C4C24×C6111yescharacteristic
1469C4⋊C4C24×C6111yescharacteristic
1470C4⋊C4C24×C6111yescharacteristic
1471C4⋊C4C24×C6111yescharacteristic
1472C22⋊C4—21no—
1473C22⋊C4—21no—
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—21no—
1477C22⋊C4—21no—
1478C22⋊C4—21no—
1479C22⋊C4—21no—
1480C22⋊C4—21no—
1481C22⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—21no—
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—21no—
1489C22⋊C4—21no—
1490C22⋊C4—21no—
1491C22⋊C4—21no—
1492C22⋊C4—21no—
1493C22⋊C4—21no—
1494C22⋊C4—21no—
1495C22⋊C4—21no—
1496C22⋊C4—21no—
1497C22⋊C4—21no—
1498C22⋊C4—21no—
1499C22⋊C4—21no—
1500C22⋊C4—21no—
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4C2×D4×C6111yescharacteristic
1507C22⋊C4C2×D4×C6111yescharacteristic
1508C22⋊C4C2×D4×C6111yescharacteristic
1509C22⋊C4C2×D4×C6111yescharacteristic
1510C22⋊C4C2×D4×C6111yescharacteristic
1511C22⋊C4C2×D4×C6111yescharacteristic
1512C22⋊C4C2×D4×C6111yescharacteristic
1513C22⋊C4C2×D4×C6111yescharacteristic
1514C42—21no—
1515C42—21no—
1516C42—21no—
1517C42—21no—
1518C42—21no—
1519C42—21no—
1520C42—21no—
1521C42—21no—
1522C42—21no—
1523C42—21no—
1524C42—21no—
1525C42—21no—
1526C42—21no—
1527C42—21no—
1528C42C2×D4×C6111yescharacteristic
1529C42C2×D4×C6111yescharacteristic
1530C42C24×C6111yescharacteristic
1531C42C24×C6111yescharacteristic
1532C23—22no—
1533C23—21no—
1534C23—21no—
1535C23—41no—
1536C23—41no—
1537C23—41no—
1538C23—41no—
1539C23—41no—
1540C23C22×D4×C6111yescharacteristic
1541C23C22×D4×C6111yescharacteristic
1542C23C22×D4×C6111yescharacteristic
1543C23C22×D4×C6111yescharacteristic
1544C23C22×D4×C6111yescharacteristic
1545Q8—21no—
1546Q8—21no—
1547Q8—21no—
1548Q8—21no—
1549Q8—21no—
1550Q8—21no—
1551Q8—21no—
1552Q8—21no—
1553Q8—42no—
1554Q8—42no—
1555Q8—81no—
1556Q8—81no—
1557Q8—81no—
1558D4—22no—
1559D4—22no—
1560D4—21no—
1561D4—21no—
1562D4—21no—
1563D4—21no—
1564D4—41no—
1565D4—41no—
1566D4—42no—
1567D4—42no—
1568D4—42no—
1569D4—42no—
1570D4—42no—
1571D4—42no—
1572D4—81no—
1573D4—81no—
1574D4—81no—
1575D4—81no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—41no—
1601C2×C4—41no—
1602C2×C4—41no—
1603C2×C4—41no—
1604C2×C4—41no—
1605C2×C4—41no—
1606C2×C4—41no—
1607C2×C4—41no—
1608C2×C4—42no—
1609C2×C4—42no—
1610C2×C4—42no—
1611C2×C4—42no—
1612C2×C4—42no—
1613C2×C4—42no—
1614C2×C4—42no—
1615C2×C4—81no—
1616C2×C4—81no—
1617C2×C4—81no—
1618C2×C4—81no—
1619C2×C4—81no—
1620C2×C4—81no—
1621C2×C4—81no—
1622C2×C4C22×D4×C6111yescharacteristic
1623C2×C4C22×D4×C6111yescharacteristic
1624C2×C4C22×D4×C6111yescharacteristic
1625C2×C4C22×D4×C6111yescharacteristic
1626C2×C4C22×D4×C6111yescharacteristic
1627C2×C4C22×D4×C6111yescharacteristic
1628C2×C4C22×D4×C6111yescharacteristic
1629C2×C4C22×D4×C6111yescharacteristic
1630C2×C4C22×D4×C6111yescharacteristic
1631C2×C4C25×C6111yescharacteristic
1632C8—21no—
1633C8—21no—
1634C8—21no—
1635C8—21no—
1636C8—21no—
1637C8—21no—
1638C8—21no—
1639C8—21no—
1640C22—21no—
1641C22—21no—
1642C22—21no—
1643C22—21no—
1644C22—21no—
1645C22—21no—
1646C22—21no—
1647C22—21no—
1648C22—21no—
1649C22—21no—
1650C22—21no—
1651C22—21no—
1652C22—21no—
1653C22—21no—
1654C22—41no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—82no—
1661C22—82no—
1662C22C61×#57512yes—
1663C22C23×D4×C6111yescharacteristic
1664C4—21no—
1665C4—21no—
1666C4—21no—
1667C4—21no—
1668C4—21no—
1669C4—21no—
1670C4—21no—
1671C4—21no—
1672C4—21no—
1673C4—41no—
1674C4—41no—
1675C4—41no—
1676C4—41no—
1677C4—41no—
1678C4—41no—
1679C4—41no—
1680C4—41no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4—41no—
1687C4C61×#58511yescharacteristic
1688C4C61×#58511yescharacteristic
1689C2—22no—
1690C2—41no—
1691C2—41no—
1692C2—41no—
1693C2—41no—
1694C2—81no—
1695C2—81no—
1696C2C61×#348511yescharacteristic
1697C2C2×C61×#57511yescharacteristic
1698C2C61×#358611yescharacteristic
subgroupG/H
center, socleC22×C61C23×D4
commutator, Frattini, cosocleC2×C4C25×C61
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C61 ◁ C2×C4×D4×C61 ◁ G

Complements

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

NH ≅ G/Ntype
1. C61×#3520C2semidirect
2. C61×#3475C2semidirect
3. C61×#3350C2semidirect
4. C61×#3349C2semidirect
5. C61×#3349C2semidirect
6. C61×#3348C2semidirect
7. C61×#3345C2semidirect
8. C61×#3344C2semidirect
9. C61×#3343C2semidirect
10. C61×#3343C2semidirect
11. C61×#3321C2semidirect
12. C61×#3320C2semidirect
13. C61×#3316C2semidirect
14. C61×#3315C2semidirect
15. C61×#3313C2semidirect
16. C61×#3312C2semidirect
17. C61×#3308C2semidirect
18. C61×#3307C2semidirect
19. C61×#3240C2semidirect
20. C61×#3237C2semidirect
21. C61×#3197C2semidirect
22. C61×#3196C2semidirect
23. C61×#3191C2semidirect
24. C61×#3190C2semidirect
25. C61×#3116C2semidirect
26. C61×#3111C2semidirect
27. C61×#3095C2semidirect
28. C61×#3093C2semidirect
29. C61×#3091C2semidirect
30. C2×C61×#485C2semidirect
31. C61×#2973C2semidirect
77. C61×#501C22semidirect
78. C61×#501C22semidirect
79. C61×#501C22semidirect
80. C61×#501C22semidirect
81. C61×#491C22semidirect
82. C61×#491C22semidirect
83. C61×#489C22semidirect
84. C61×#489C22semidirect
94. C61×#485C22semidirect
95. C61×#485C22semidirect
96. C61×#485C22semidirect
97. C61×#485C22semidirect
98. C61×#485C22semidirect
99. C61×#485C22semidirect
100. C61×#485C22semidirect
101. C61×#485C22semidirect
102. C61×#484C22semidirect
103. C61×#484C22semidirect
104. C61×#484C22semidirect
105. C61×#484C22semidirect
106. C61×#483C22semidirect
107. C61×#483C22semidirect
108. C61×#483C22semidirect
109. C61×#483C22semidirect
113. C61×#482C22semidirect
114. C61×#482C22semidirect
115. C61×#482C22semidirect
116. C61×#482C22semidirect
117. C61×#481C22semidirect
118. C61×#481C22semidirect
119. C61×#480C22semidirect
120. C61×#480C22semidirect
121. C61×#479C22semidirect
122. C61×#479C22semidirect
123. C61×#479C22semidirect
124. C61×#478C22semidirect
125. C61×#478C22semidirect
126. C61×#478C22semidirect
127. C61×#477C22semidirect
128. C61×#477C22semidirect
129. C61×#477C22semidirect
130. C61×#476C22semidirect
131. C61×#475C22semidirect
132. C61×#475C22semidirect
133. C61×#470C22semidirect
134. C61×#470C22semidirect
135. C61×#470C22semidirect
136. C61×#469C22semidirect
137. C61×#468C22semidirect
138. C61×#468C22semidirect
139. C61×#468C22semidirect
140. C61×#468C22semidirect
141. C61×#467C22semidirect
142. C61×#467C22semidirect
143. C61×#467C22semidirect
144. C61×#466C22semidirect
145. C61×#465C22semidirect
146. C61×#465C22semidirect
147. C61×#465C22semidirect
148. C61×#465C22semidirect
149. C61×#464C22semidirect
150. C61×#463C22semidirect
151. C61×#462C22semidirect
152. C61×#461C22semidirect
156. C61×#452C22semidirect
157. C61×#452C22semidirect
158. C61×#451C22semidirect
159. C61×#451C22semidirect
161. C61×#449C22semidirect
162. C61×#449C22semidirect
163. C61×#448C22semidirect
164. C61×#448C22semidirect
165. C61×#442C22semidirect
166. C61×#441C22semidirect
167. C61×#441C22semidirect
168. C61×#441C22semidirect
169. C61×#440C22semidirect
170. C61×#440C22semidirect
171. C61×#440C22semidirect
172. C61×#440C22semidirect
183. C61×#428C22semidirect
184. C61×#428C22semidirect
185. C61×#428C22semidirect
186. C61×#428C22semidirect
187. C61×#427C22semidirect
188. C61×#427C22semidirect
189. C2×#107×C61C22semidirect
190. C2×#106×C61C22semidirect
191. C61×#419C22semidirect
192. C61×#419C22semidirect
193. C61×#417C22semidirect
194. C61×#417C22semidirect
195. C61×#416C22semidirect
196. C61×#416C22semidirect
197. C2×#103×C61C22semidirect
198. C2×#103×C61C22semidirect
790. #61715C61direct (N × H)
840. #3520C2×C61semidirect
841. #3475C2×C61semidirect
842. #3350C2×C61semidirect
843. #3349C2×C61semidirect
844. #3349C2×C61semidirect
845. #3348C2×C61semidirect
846. #3345C2×C61semidirect
847. #3344C2×C61semidirect
848. #3343C2×C61semidirect
849. #3343C2×C61semidirect
850. #3321C2×C61semidirect
851. #3320C2×C61semidirect
852. #3316C2×C61semidirect
853. #3315C2×C61semidirect
854. #3313C2×C61semidirect
855. #3312C2×C61semidirect
856. #3308C2×C61semidirect
857. #3307C2×C61semidirect
858. #3240C2×C61semidirect
859. #3237C2×C61semidirect
860. #3197C2×C61semidirect
861. #3196C2×C61semidirect
862. #3191C2×C61semidirect
863. #3190C2×C61semidirect
864. #3116C2×C61semidirect
865. #3111C2×C61semidirect
866. #3095C2×C61semidirect
867. #3093C2×C61semidirect
868. #3091C2×C61semidirect
869. C2×#485C2×C61semidirect
870. #2973C2×C61semidirect
926. #501C22×C61semidirect
927. #501C22×C61semidirect
928. #501C22×C61semidirect
929. #501C22×C61semidirect
930. #491C22×C61semidirect
931. #491C22×C61semidirect
932. #489C22×C61semidirect
933. #489C22×C61semidirect
943. #485C22×C61semidirect
944. #485C22×C61semidirect
945. #485C22×C61semidirect
946. #485C22×C61semidirect
947. #485C22×C61semidirect
948. #485C22×C61semidirect
949. #485C22×C61semidirect
950. #485C22×C61semidirect
951. #484C22×C61semidirect
952. #484C22×C61semidirect
953. #484C22×C61semidirect
954. #484C22×C61semidirect
955. #483C22×C61semidirect
956. #483C22×C61semidirect
957. #483C22×C61semidirect
958. #483C22×C61semidirect
962. #482C22×C61semidirect
963. #482C22×C61semidirect
964. #482C22×C61semidirect
965. #482C22×C61semidirect
966. #481C22×C61semidirect
967. #481C22×C61semidirect
968. #480C22×C61semidirect
969. #480C22×C61semidirect
970. #479C22×C61semidirect
971. #479C22×C61semidirect
972. #479C22×C61semidirect
973. #478C22×C61semidirect
974. #478C22×C61semidirect
975. #478C22×C61semidirect
976. #477C22×C61semidirect
977. #477C22×C61semidirect
978. #477C22×C61semidirect
979. #476C22×C61semidirect
980. #475C22×C61semidirect
981. #475C22×C61semidirect
982. #470C22×C61semidirect
983. #470C22×C61semidirect
984. #470C22×C61semidirect
985. #469C22×C61semidirect
986. #468C22×C61semidirect
987. #468C22×C61semidirect
988. #468C22×C61semidirect
989. #468C22×C61semidirect
990. #467C22×C61semidirect
991. #467C22×C61semidirect
992. #467C22×C61semidirect
993. #466C22×C61semidirect
994. #465C22×C61semidirect
995. #465C22×C61semidirect
996. #465C22×C61semidirect
997. #465C22×C61semidirect
998. #464C22×C61semidirect
999. #463C22×C61semidirect
1000. #462C22×C61semidirect
1001. #461C22×C61semidirect
1005. #452C22×C61semidirect
1006. #452C22×C61semidirect
1007. #451C22×C61semidirect
1008. #451C22×C61semidirect
1010. #449C22×C61semidirect
1011. #449C22×C61semidirect
1012. #448C22×C61semidirect
1013. #448C22×C61semidirect
1014. #442C22×C61semidirect
1015. #441C22×C61semidirect
1016. #441C22×C61semidirect
1017. #441C22×C61semidirect
1018. #440C22×C61semidirect
1019. #440C22×C61semidirect
1020. #440C22×C61semidirect
1021. #440C22×C61semidirect
1032. #428C22×C61semidirect
1033. #428C22×C61semidirect
1034. #428C22×C61semidirect
1035. #428C22×C61semidirect
1036. #427C22×C61semidirect
1037. #427C22×C61semidirect
1038. C2×#107C22×C61semidirect
1039. C2×#106C22×C61semidirect
1040. #419C22×C61semidirect
1041. #419C22×C61semidirect
1042. #417C22×C61semidirect
1043. #417C22×C61semidirect
1044. #416C22×C61semidirect
1045. #416C22×C61semidirect
1046. C2×#103C22×C61semidirect
1047. C2×#103C22×C61semidirect
1052. C61#61715direct (N × H)

Maximal subgroups

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

subgroupindex
C61×#35202
C61×#34752
C61×#33502
C61×#33492
C61×#33482
C61×#33452
C61×#33442
C61×#33432
C61×#33212
C61×#33202
C61×#33162
C61×#33152
C61×#33132
C61×#33122
C61×#33082
C61×#33072
C61×#32402
C61×#32372
C61×#31972
C61×#31962
C61×#31912
C61×#31902
C61×#31162
C61×#31112
C61×#30952
C61×#30932
C61×#30912
C2×C61×#4852
C61×#29732
#6171561