Finite Group Databasebeta

← C61×#62138 #29565571

Subgroups — C61×#62138 #29565571

Order 15616.

1732 conjugacy classes of subgroups.

The subgroup lattice has 1650 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C61×#3515C211yesmaximal, characteristic, complemented
2C61×#3475C211yesmaximal, characteristic, complemented
3C61×#3389C211yesmaximal, characteristic, complemented
4C61×#3388C211yesmaximal, characteristic, complemented
5C61×#3377C211yesmaximal, characteristic, complemented
6C61×#3376C211yesmaximal, characteristic, complemented
7C61×#3348C211yesmaximal, characteristic, complemented
8C61×#3347C211yesmaximal, characteristic, complemented
9C61×#3344C211yesmaximal, characteristic, complemented
10C61×#3343C211yesmaximal, characteristic, complemented
11C61×#3337C211yesmaximal, characteristic, complemented
12C61×#3336C211yesmaximal, characteristic, complemented
13C61×#3315C211yesmaximal, characteristic, complemented
14C61×#3314C211yesmaximal, characteristic, complemented
15C61×#3307C211yesmaximal, characteristic, complemented
16C61×#3306C211yesmaximal, characteristic, complemented
17C61×#3297C211yesmaximal, characteristic, complemented
18C61×#3296C211yesmaximal, characteristic, complemented
19C61×#3256C211yesmaximal, characteristic, complemented
20C61×#3250C211yesmaximal, characteristic, complemented
21C61×#3248C211yesmaximal, characteristic, complemented
22C61×#3240C211yesmaximal, characteristic, complemented
23C61×#3236C211yesmaximal, characteristic, complemented
24C61×#3232C211yesmaximal, characteristic, complemented
25C61×#3114C211yesmaximal, characteristic, complemented
26C61×#3111C211yesmaximal, characteristic, complemented
27C61×#3102C211yesmaximal, characteristic, complemented
28C61×#3080C211yesmaximal, characteristic, complemented
29C61×#3076C211yesmaximal, characteristic, complemented
30C2×C61×#478C211yesmaximal, characteristic, complemented
31C61×#2990C211yesmaximal, characteristic, complemented
32C61×#557C2211yescharacteristic, complemented
33C61×#556C2211yescharacteristic
34C61×#555C2211yescharacteristic
35C61×#554C2211yescharacteristic
36C61×#554C2211yescharacteristic
37C61×#554C2211yescharacteristic, complemented
38C61×#553—21no—
39C61×#553C2211yescharacteristic
40C61×#553C2211yescharacteristic, complemented
41C61×#552—21no—
42C61×#552—21no—
43C61×#552—21no—
44C61×#552—21no—
45C61×#552C2211yescharacteristic
46C61×#552C2211yescharacteristic
47C61×#552C2211yescharacteristic
48C61×#552C2211yescharacteristic, complemented
49C61×#551—21no—
50C61×#551—21no—
51C61×#547—21no—
52C61×#547C2211yescharacteristic
53C61×#547C2211yescharacteristic
54C61×#546C2211yescharacteristic
55C61×#546C2211yescharacteristic
56C61×#541—21no—
57C61×#539—21no—
58C61×#539—21no—
59C61×#533C2211yescharacteristic
60C61×#533C2211yescharacteristic, complemented
61C61×#529—21no—
62C61×#529—21no—
63C61×#529C2211yescharacteristic
64C61×#529C2211yescharacteristic
65C61×#529C2211yescharacteristic
66C61×#529C2211yescharacteristic, complemented
67C61×#529C2211yescharacteristic, complemented
68C2×#125×C61C2211yescharacteristic
69C2×#125×C61C2211yescharacteristic, complemented
70C61×#525—21no—
71C61×#520—21no—
72C4×#41×C61C2211yescharacteristic
73C4×#41×C61C2211yescharacteristic
74C4×#41×C61C2211yescharacteristic
75C2×C4×D4×C61C2211yescharacteristic
76C2×#117×C61—21no—
77C61×#501C2211yescharacteristic, complemented
78C61×#501C2211yescharacteristic, complemented
79C61×#501C2211yescharacteristic, complemented
80C61×#501C2211yescharacteristic, complemented
81C61×#499C2211yescharacteristic, complemented
82C61×#499C2211yescharacteristic, complemented
83C61×#491C2211yescharacteristic, complemented
84C61×#491C2211yescharacteristic, complemented
85C61×#489C2211yescharacteristic
86C61×#489C2211yescharacteristic
87C61×#488C2211yescharacteristic
88C61×#488C2211yescharacteristic
89C61×#485C2211yescharacteristic, complemented
90C61×#485C2211yescharacteristic, complemented
91C61×#485C2211yescharacteristic, complemented
92C61×#485C2211yescharacteristic, complemented
93C61×#484C2211yescharacteristic
94C61×#484C2211yescharacteristic
95C61×#484C2211yescharacteristic, complemented
96C61×#483C2211yescharacteristic
97C61×#483C2211yescharacteristic
98C61×#483C2211yescharacteristic
99C61×#483C2211yescharacteristic, complemented
100C61×#482C2211yescharacteristic
101C61×#482C2211yescharacteristic
102C61×#482C2211yescharacteristic, complemented
103C61×#482C2211yescharacteristic, complemented
104C61×#481C2211yescharacteristic
105C61×#480C2211yescharacteristic
106C61×#480C2211yescharacteristic
107C61×#479C2211yescharacteristic, complemented
108C61×#479C2211yescharacteristic, complemented
109C61×#479C2211yescharacteristic, complemented
110C61×#479C2211yescharacteristic, complemented
111C61×#479C2211yescharacteristic, complemented
112C61×#479C2211yescharacteristic, complemented
113C61×#479C2211yescharacteristic, complemented
114C61×#479C2211yescharacteristic, complemented
115C61×#479C2211yescharacteristic, complemented
116C61×#479C2211yescharacteristic, complemented
117C61×#478C2211yescharacteristic
118C61×#478C2211yescharacteristic
119C61×#478C2211yescharacteristic
120C61×#478C2211yescharacteristic
121C61×#478C2211yescharacteristic
122C61×#478C2211yescharacteristic
123C61×#478C2211yescharacteristic
124C61×#478C2211yescharacteristic
125C61×#478C2211yescharacteristic
126C61×#478C2211yescharacteristic
127C61×#478C2211yescharacteristic
128C61×#478C2211yescharacteristic
129C61×#478C2211yescharacteristic, complemented
130C61×#478C2211yescharacteristic, complemented
131C61×#477C2211yescharacteristic, complemented
132C61×#476C2211yescharacteristic
133C61×#475C2211yescharacteristic, complemented
134C61×#475C2211yescharacteristic, complemented
135C61×#474C2211yescharacteristic
136C61×#474C2211yescharacteristic, complemented
137C61×#470C2211yescharacteristic, complemented
138C61×#469C2211yescharacteristic
139C61×#468C2211yescharacteristic
140C61×#468C2211yescharacteristic, complemented
141C61×#467C2211yescharacteristic
142C61×#467C2211yescharacteristic
143C61×#467C2211yescharacteristic, complemented
144C61×#466C2211yescharacteristic
145C61×#465C2211yescharacteristic
146C61×#465C2211yescharacteristic
147C61×#465C2211yescharacteristic
148C61×#465C2211yescharacteristic, complemented
149C61×#464C2211yescharacteristic
150C61×#464C2211yescharacteristic
151C61×#464C2211yescharacteristic, complemented
152C61×#464C2211yescharacteristic, complemented
153C61×#463C2211yescharacteristic
154C61×#463C2211yescharacteristic
155C61×#463C2211yescharacteristic
156C61×#463C2211yescharacteristic
157C61×#462C2211yescharacteristic, complemented
158C61×#461C2211yescharacteristic, complemented
159C61×#452C2211yescharacteristic
160C61×#452C2211yescharacteristic
161C61×#450C2211yescharacteristic
162C61×#449C2211yescharacteristic
163C61×#449C2211yescharacteristic
164C61×#447C2211yescharacteristic
165C61×#446C2211yescharacteristic, complemented
166C61×#446C2211yescharacteristic, complemented
167C61×#442C2211yescharacteristic
168C61×#442C2211yescharacteristic
169C61×#442C2211yescharacteristic
170C61×#441C2211yescharacteristic, complemented
171C61×#440C2211yescharacteristic
172C61×#440C2211yescharacteristic
173C61×#440C2211yescharacteristic
174C61×#440C2211yescharacteristic, complemented
175C4×Q16×C61C2211yescharacteristic, complemented
176C4×SD16×C61C2211yescharacteristic
177C4×SD16×C61C2211yescharacteristic, complemented
178C4×D8×C61C2211yescharacteristic
179C61×#435C2211yescharacteristic
180C61×#435C2211yescharacteristic
181C61×#435C2211yescharacteristic, complemented
182C61×#435C2211yescharacteristic, complemented
183C8×D4×C61C2211yescharacteristic
184C8×D4×C61C2211yescharacteristic
185C61×#432C2211yescharacteristic
186C61×#432C2211yescharacteristic, complemented
187C61×#431C2211yescharacteristic, complemented
188C61×#428C2211yescharacteristic, complemented
189C61×#428C2211yescharacteristic, complemented
190C61×#427C2211yescharacteristic, complemented
191C61×#427C2211yescharacteristic, complemented
192C2×#107×C61C2211yescharacteristic
193C2×#106×C61C2211yescharacteristic
194C61×#423C2211yescharacteristic, complemented
195C2×C4⋊C8×C61C2211yescharacteristic
196C2×C4⋊C8×C61C2211yescharacteristic, complemented
197C61×#417C2211yescharacteristic
198C61×#417C2211yescharacteristic
199C61×#416C2211yescharacteristic
200C61×#416C2211yescharacteristic
201C2×#102×C61C2211yescharacteristic
202C2×#102×C61C2211yescharacteristic
203C2×#41×C61—21no—
204C2×#41×C61D411yescharacteristic
205C2×#41×C61C2311yescharacteristic
206C2×#41×C61C2311yescharacteristic
207C22×D4×C61C2311yescharacteristic
208C23×C4×C61—21no—
209C2×Q16×C61C2311yescharacteristic
210C2×Q16×C61C2311yescharacteristic
211C2×SD16×C61C2311yescharacteristic
212C2×SD16×C61C2311yescharacteristic
213C2×SD16×C61C2311yescharacteristic
214C2×SD16×C61C2311yescharacteristic
215C2×D8×C61C2311yescharacteristic
216C2×D8×C61C2311yescharacteristic
217C2×M16×C61C2311yescharacteristic
218C2×M16×C61C2311yescharacteristic
219C22×C8×C61C2311yescharacteristic
220C22×C8×C61C2311yescharacteristic
221C22×C8×C61C2311yescharacteristic
222C22×C8×C61C2311yescharacteristic
223C4⋊Q8×C61—21no—
224C4⋊Q8×C61C2311yescharacteristic
225C4⋊Q8×C61C2311yescharacteristic
226C4⋊Q8×C61C2311yescharacteristic
227C4⋊Q8×C61C2311yescharacteristic
228#126×C61—21no—
229#126×C61—21no—
230#126×C61—21no—
231#126×C61—21no—
232#126×C61—21no—
233#126×C61—21no—
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#125×C61—21no—
242#125×C61—21no—
243#125×C61—21no—
244#125×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×C61—21no—
252#125×C61—21no—
253#125×C61C2311yescharacteristic
254#125×C61C2311yescharacteristic
255#125×C61C2311yescharacteristic
256#125×C61C2311yescharacteristic
257#125×C61C2311yescharacteristic
258#125×C61C2311yescharacteristic
259#125×C61C2311yescharacteristic
260#125×C61C2311yescharacteristic
261#125×C61C2311yescharacteristic
262#124×C61—21no—
263#124×C61—21no—
264#124×C61C2311yescharacteristic
265#124×C61C2311yescharacteristic
266#124×C61C2311yescharacteristic
267#123×C61—21no—
268#123×C61—21no—
269#123×C61—21no—
270#123×C61—21no—
271#123×C61—21no—
272#123×C61—21no—
273#123×C61—21no—
274#123×C61—21no—
275#123×C61—21no—
276#123×C61—21no—
277#123×C61—21no—
278#123×C61—21no—
279#123×C61—21no—
280#123×C61—21no—
281#123×C61—21no—
282#123×C61—21no—
283#123×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×C61—21no—
294C22⋊Q8×C61—21no—
295C22⋊Q8×C61—21no—
296C22⋊Q8×C61—21no—
297C22⋊Q8×C61C2311yescharacteristic
298C22⋊Q8×C61C2311yescharacteristic
299C22⋊Q8×C61C2311yescharacteristic
300C22⋊Q8×C61C2311yescharacteristic
301C22⋊Q8×C61C2311yescharacteristic
302C22⋊Q8×C61C2311yescharacteristic
303C22⋊Q8×C61C2311yescharacteristic
304#121×C61—21no—
305#121×C61—21no—
306#121×C61—21no—
307#121×C61—21no—
308#121×C61—21no—
309#121×C61—21no—
310#121×C61C2311yescharacteristic
311#121×C61C2311yescharacteristic
312#121×C61C2311yescharacteristic
313#121×C61C2311yescharacteristic
314#121×C61C2311yescharacteristic
315#120×C61—21no—
316#120×C61—21no—
317C4×Q8×C61—21no—
318C4×Q8×C61—21no—
319C4×Q8×C61—21no—
320C4×Q8×C61—21no—
321C4×Q8×C61D411yescharacteristic
322C4×Q8×C61C2311yescharacteristic
323C4×Q8×C61C2311yescharacteristic
324C4×Q8×C61C2311yescharacteristic
325C4×Q8×C61C2311yescharacteristic
326C4×Q8×C61C2311yescharacteristic
327C4×Q8×C61C2311yescharacteristic
328C4×Q8×C61C2311yescharacteristic
329C4×Q8×C61C2311yescharacteristic
330C4×D4×C61—21no—
331C4×D4×C61—21no—
332C4×D4×C61—21no—
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×C61D411yescharacteristic
345C4×D4×C61D411yescharacteristic
346C4×D4×C61D411yescharacteristic
347C4×D4×C61C2311yescharacteristic
348C4×D4×C61C2311yescharacteristic
349C4×D4×C61C2311yescharacteristic
350C4×D4×C61C2311yescharacteristic
351C4×D4×C61C2311yescharacteristic
352C4×D4×C61C2311yescharacteristic
353C4×D4×C61C2311yescharacteristic
354C4×D4×C61C2311yescharacteristic
355C4×D4×C61C2311yescharacteristic
356C4×D4×C61C2311yescharacteristic
357C4×D4×C61C2311yescharacteristic
358C4×D4×C61C2311yescharacteristic
359#117×C61—21no—
360#117×C61—21no—
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×C61D411yescharacteristic
374#117×C61D411yescharacteristic
375#117×C61D411yescharacteristic
376#117×C61C2311yescharacteristic
377#117×C61C2311yescharacteristic
378#117×C61C2311yescharacteristic
379#117×C61C2311yescharacteristic
380C2×C4⋊C4×C61—21no—
381C2×C4⋊C4×C61—21no—
382C2×C4⋊C4×C61—21no—
383C2×C4⋊C4×C61—21no—
384C2×C4⋊C4×C61—21no—
385C2×C4⋊C4×C61—21no—
386C2×C4⋊C4×C61—21no—
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×C42×C61—21no—
396C2×C42×C61—21no—
397C2×C42×C61C2311yescharacteristic
398C2×C42×C61C2311yescharacteristic
399C2×C42×C61C2311yescharacteristic
400#107×C61C2311yescharacteristic
401#107×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#106×C61C2311yescharacteristic
413#106×C61C2311yescharacteristic
414#106×C61C2311yescharacteristic
415#106×C61C2311yescharacteristic
416#106×C61C2311yescharacteristic
417#106×C61C2311yescharacteristic
418#106×C61C2311yescharacteristic
419#106×C61C2311yescharacteristic
420#106×C61C2311yescharacteristic
421#106×C61C2311yescharacteristic
422#106×C61C2311yescharacteristic
423#106×C61C2311yescharacteristic
424C4⋊C8×C61C2311yescharacteristic
425C4⋊C8×C61C2311yescharacteristic
426C4⋊C8×C61C2311yescharacteristic
427C4⋊C8×C61C2311yescharacteristic
428C4⋊C8×C61C2311yescharacteristic
429C4⋊C8×C61C2311yescharacteristic
430C4⋊C8×C61C2311yescharacteristic
431C4⋊C8×C61C2311yescharacteristic
432C4⋊C8×C61C2311yescharacteristic
433C4⋊C8×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#102×C61C2311yescharacteristic
451#102×C61C2311yescharacteristic
452#102×C61C2311yescharacteristic
453#102×C61C2311yescharacteristic
454#102×C61C2311yescharacteristic
455#102×C61C2311yescharacteristic
456#102×C61C2311yescharacteristic
457#102×C61C2311yescharacteristic
458#102×C61C2311yescharacteristic
459#102×C61C2311yescharacteristic
460#102×C61C2311yescharacteristic
461#102×C61C2311yescharacteristic
462#102×C61C2311yescharacteristic
463#102×C61C2311yescharacteristic
464#102×C61C2311yescharacteristic
465#102×C61C2311yescharacteristic
466C22⋊C8×C61C2311yescharacteristic
467C22⋊C8×C61C2311yescharacteristic
468C22⋊C8×C61C2311yescharacteristic
469C22⋊C8×C61C2311yescharacteristic
470C22⋊C8×C61C2311yescharacteristic
471C22⋊C8×C61C2311yescharacteristic
472#97×C61C2311yescharacteristic
473#97×C61C2311yescharacteristic
474#97×C61C2311yescharacteristic
475#97×C61C2311yescharacteristic
476C4×C8×C61C2311yescharacteristic
477C4×C8×C61C2311yescharacteristic
478C24×C61—21no—
479#41×C61—22no—
480#41×C61—22no—
481#41×C61—42no—
482#41×C61—41no—
483#41×C61—41no—
484#41×C61—44no—
485C2×Q8×C61—21no—
486C2×Q8×C61—21no—
487C2×Q8×C61—21no—
488C2×Q8×C61C2×D411yescharacteristic
489C2×Q8×C61C2411yescharacteristic
490C2×Q8×C61C2411yescharacteristic
491C2×Q8×C61C2411yescharacteristic
492C2×D4×C61—22no—
493C2×D4×C61—21no—
494C2×D4×C61—21no—
495C2×D4×C61—21no—
496C2×D4×C61—21no—
497C2×D4×C61—21no—
498C2×D4×C61—21no—
499C2×D4×C61—21no—
500C2×D4×C61—21no—
501C2×D4×C61—41no—
502C2×D4×C61C2×D411yescharacteristic
503C2×D4×C61C2×D411yescharacteristic
504C2×D4×C61C2×D411yescharacteristic
505C2×D4×C61C2411yescharacteristic
506C2×D4×C61C2411yescharacteristic
507C2×D4×C61C2411yescharacteristic
508C22×C4×C61—21no—
509C22×C4×C61—21no—
510C22×C4×C61—21no—
511C22×C4×C61—21no—
512C22×C4×C61—21no—
513C22×C4×C61—21no—
514C22×C4×C61—21no—
515C22×C4×C61—21no—
516C22×C4×C61—21no—
517C22×C4×C61—21no—
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—44no—
525C22×C4×C61C2×D411yescharacteristic
526C22×C4×C61C2×D411yescharacteristic
527C22×C4×C61C2×D411yescharacteristic
528C22×C4×C61C2×D411yescharacteristic
529C22×C4×C61C2×D411yescharacteristic
530C22×C4×C61C2×D411yescharacteristic
531C22×C4×C61C2411yescharacteristic
532C22×C4×C61C2411yescharacteristic
533C22×C4×C61C2411yescharacteristic
534Q16×C61—41no—
535Q16×C61—41no—
536SD16×C61—22no—
537SD16×C61—41no—
538SD16×C61—41no—
539SD16×C61—41no—
540D8×C61—22no—
541D8×C61—41no—
542M16×C61—41no—
543M16×C61—41no—
544C2×C8×C61—41no—
545C2×C8×C61—41no—
546C2×C8×C61—41no—
547C2×C8×C61—41no—
548C2×C8×C61C2411yescharacteristic
549C2×C8×C61C2411yescharacteristic
550C2×C8×C61C2411yescharacteristic
551C2×C8×C61C2411yescharacteristic
552C2×C8×C61C2411yescharacteristic
553C2×C8×C61C2411yescharacteristic
554C2×C8×C61C2411yescharacteristic
555C2×C8×C61C2411yescharacteristic
556C4⋊C4×C61—21no—
557C4⋊C4×C61—21no—
558C4⋊C4×C61—21no—
559C4⋊C4×C61—21no—
560C4⋊C4×C61—21no—
561C4⋊C4×C61—21no—
562C4⋊C4×C61—21no—
563C4⋊C4×C61—21no—
564C4⋊C4×C61—21no—
565C4⋊C4×C61—21no—
566C4⋊C4×C61—21no—
567C4⋊C4×C61—21no—
568C4⋊C4×C61—21no—
569C4⋊C4×C61—21no—
570C4⋊C4×C61—21no—
571C4⋊C4×C61—21no—
572C4⋊C4×C61—21no—
573C4⋊C4×C61—21no—
574C4⋊C4×C61—21no—
575C4⋊C4×C61—21no—
576C4⋊C4×C61—21no—
577C4⋊C4×C61—21no—
578C4⋊C4×C61—21no—
579C4⋊C4×C61—21no—
580C4⋊C4×C61—21no—
581C4⋊C4×C61—21no—
582C4⋊C4×C61—21no—
583C4⋊C4×C61—21no—
584C4⋊C4×C61—21no—
585C4⋊C4×C61—21no—
586C4⋊C4×C61—21no—
587C4⋊C4×C61—21no—
588C4⋊C4×C61—21no—
589C4⋊C4×C61—21no—
590C4⋊C4×C61—21no—
591C4⋊C4×C61—21no—
592C4⋊C4×C61—21no—
593C4⋊C4×C61—21no—
594C4⋊C4×C61—21no—
595C4⋊C4×C61—21no—
596C4⋊C4×C61—21no—
597C4⋊C4×C61—21no—
598C4⋊C4×C61C2×D411yescharacteristic
599C4⋊C4×C61C2×D411yescharacteristic
600C4⋊C4×C61C2×D411yescharacteristic
601C4⋊C4×C61C2×D411yescharacteristic
602C4⋊C4×C61C2×D411yescharacteristic
603C4⋊C4×C61C2×D411yescharacteristic
604C4⋊C4×C61C2411yescharacteristic
605C4⋊C4×C61C2411yescharacteristic
606C4⋊C4×C61C2411yescharacteristic
607C4⋊C4×C61C2411yescharacteristic
608C4⋊C4×C61C2411yescharacteristic
609C4⋊C4×C61C2411yescharacteristic
610C4⋊C4×C61C2411yescharacteristic
611C4⋊C4×C61C2411yescharacteristic
612C4⋊C4×C61C2411yescharacteristic
613C4⋊C4×C61C2411yescharacteristic
614C22⋊C4×C61—21no—
615C22⋊C4×C61—21no—
616C22⋊C4×C61—21no—
617C22⋊C4×C61—21no—
618C22⋊C4×C61—21no—
619C22⋊C4×C61—21no—
620C22⋊C4×C61—21no—
621C22⋊C4×C61—21no—
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×C61C2×D411yescharacteristic
646C22⋊C4×C61C2×D411yescharacteristic
647C22⋊C4×C61C2×D411yescharacteristic
648C22⋊C4×C61C2×D411yescharacteristic
649C22⋊C4×C61C2×D411yescharacteristic
650C22⋊C4×C61C2×D411yescharacteristic
651C42×C61—21no—
652C42×C61—21no—
653C42×C61—21no—
654C42×C61—21no—
655C42×C61—21no—
656C42×C61—21no—
657C42×C61—21no—
658C42×C61—21no—
659C42×C61—21no—
660C42×C61—21no—
661C42×C61—21no—
662C42×C61C2×D411yescharacteristic
663C42×C61C2×D411yescharacteristic
664C42×C61C2×D411yescharacteristic
665C42×C61C2×D411yescharacteristic
666C42×C61C2×D411yescharacteristic
667C42×C61C2×D411yescharacteristic
668C42×C61C2411yescharacteristic
669C42×C61C2411yescharacteristic
670C42×C61C2411yescharacteristic
671C42×C61C2411yescharacteristic
672C23×C61—21no—
673C23×C61—21no—
674C23×C61—21no—
675C23×C61—42no—
676C23×C61—42no—
677C23×C61—81no—
678C23×C61C22×D411yescharacteristic
679C23×C61C22×D411yescharacteristic
680C23×C61C22×D411yescharacteristic
681Q8×C61—21no—
682Q8×C61—21no—
683Q8×C61—21no—
684Q8×C61—21no—
685Q8×C61—21no—
686Q8×C61—21no—
687Q8×C61—41no—
688Q8×C61—42no—
689Q8×C61—81no—
690Q8×C61—81no—
691D4×C61—22no—
692D4×C61—22no—
693D4×C61—21no—
694D4×C61—21no—
695D4×C61—21no—
696D4×C61—21no—
697D4×C61—21no—
698D4×C61—41no—
699D4×C61—42no—
700D4×C61—42no—
701D4×C61—42no—
702D4×C61—42no—
703D4×C61—42no—
704D4×C61—81no—
705D4×C61—81no—
706D4×C61—81no—
707D4×C612−1+412yes—
708C2×C4×C61—22no—
709C2×C4×C61—21no—
710C2×C4×C61—21no—
711C2×C4×C61—21no—
712C2×C4×C61—21no—
713C2×C4×C61—21no—
714C2×C4×C61—21no—
715C2×C4×C61—21no—
716C2×C4×C61—21no—
717C2×C4×C61—21no—
718C2×C4×C61—21no—
719C2×C4×C61—21no—
720C2×C4×C61—21no—
721C2×C4×C61—21no—
722C2×C4×C61—21no—
723C2×C4×C61—21no—
724C2×C4×C61—21no—
725C2×C4×C61—21no—
726C2×C4×C61—21no—
727C2×C4×C61—21no—
728C2×C4×C61—41no—
729C2×C4×C61—41no—
730C2×C4×C61—41no—
731C2×C4×C61—41no—
732C2×C4×C61—41no—
733C2×C4×C61—42no—
734C2×C4×C61—42no—
735C2×C4×C61—42no—
736C2×C4×C61—42no—
737C2×C4×C61—42no—
738C2×C4×C61—42no—
739C2×C4×C61—42no—
740C2×C4×C61—42no—
741C2×C4×C61—42no—
742C2×C4×C61—42no—
743C2×C4×C61—81no—
744C2×C4×C61—81no—
745C2×C4×C61—81no—
746C2×C4×C61—81no—
747C2×C4×C61—81no—
748C2×C4×C61—81no—
749C2×C4×C61C22×D411yescharacteristic
750C2×C4×C61C22×D411yescharacteristic
751C2×C4×C61C22×D411yescharacteristic
752C2×C4×C61C22×D411yescharacteristic
753C2×C4×C61C22×D411yescharacteristic
754C2×C4×C61C22×D411yescharacteristic
755C2×C4×C61C22×D411yescharacteristic
756C2×C4×C61C22×D411yescharacteristic
757C2×C4×C61C22×D411yescharacteristic
758C2×C4×C61C22×D411yescharacteristic
759C2×C4×C61C22×D411yescharacteristic
760C2×C4×C61C2511yescharacteristic
761C8×C61—21no—
762C8×C61—21no—
763C8×C61—21no—
764C8×C61—21no—
765C8×C61—21no—
766C8×C61—21no—
767C8×C61—21no—
768C8×C61—21no—
769#62138C6111yesmaximal, characteristic, direct product factor, Sylow
770C22×C61—21no—
771C22×C61—21no—
772C22×C61—21no—
773C22×C61—21no—
774C22×C61—21no—
775C22×C61—21no—
776C22×C61—22no—
777C22×C61—21no—
778C22×C61—21no—
779C22×C61—41no—
780C22×C61—41no—
781C22×C61—41no—
782C22×C61—41no—
783C22×C61—41no—
784C22×C61—41no—
785C22×C61—41no—
786C22×C61—41no—
787C22×C61—84no—
788C22×C61#57512yes—
789C22×C61C23×D411yescharacteristic
790C4×C61—21no—
791C4×C61—21no—
792C4×C61—21no—
793C4×C61—21no—
794C4×C61—21no—
795C4×C61—21no—
796C4×C61—21no—
797C4×C61—21no—
798C4×C61—21no—
799C4×C61—21no—
800C4×C61—21no—
801C4×C61—41no—
802C4×C61—41no—
803C4×C61—41no—
804C4×C61—41no—
805C4×C61—41no—
806C4×C61—41no—
807C4×C61—41no—
808C4×C61—41no—
809C4×C61—41no—
810C4×C61—41no—
811C4×C61—41no—
812C4×C61—41no—
813C4×C61—41no—
814C4×C61C2×2−1+411yescharacteristic
815C4×C61#58511yescharacteristic
816#3515C2×C6111yescharacteristic, complemented
817#3475C2×C6111yescharacteristic, complemented
818#3389C2×C6111yescharacteristic, complemented
819#3388C2×C6111yescharacteristic, complemented
820#3377C2×C6111yescharacteristic, complemented
821#3376C2×C6111yescharacteristic, complemented
822#3348C2×C6111yescharacteristic, complemented
823#3347C2×C6111yescharacteristic, complemented
824#3344C2×C6111yescharacteristic, complemented
825#3343C2×C6111yescharacteristic, complemented
826#3337C2×C6111yescharacteristic, complemented
827#3336C2×C6111yescharacteristic, complemented
828#3315C2×C6111yescharacteristic, complemented
829#3314C2×C6111yescharacteristic, complemented
830#3307C2×C6111yescharacteristic, complemented
831#3306C2×C6111yescharacteristic, complemented
832#3297C2×C6111yescharacteristic, complemented
833#3296C2×C6111yescharacteristic, complemented
834#3256C2×C6111yescharacteristic, complemented
835#3250C2×C6111yescharacteristic, complemented
836#3248C2×C6111yescharacteristic, complemented
837#3240C2×C6111yescharacteristic, complemented
838#3236C2×C6111yescharacteristic, complemented
839#3232C2×C6111yescharacteristic, complemented
840#3114C2×C6111yescharacteristic, complemented
841#3111C2×C6111yescharacteristic, complemented
842#3102C2×C6111yescharacteristic, complemented
843#3080C2×C6111yescharacteristic, complemented
844#3076C2×C6111yescharacteristic, complemented
845C2×#478C2×C6111yescharacteristic, complemented
846#2990C2×C6111yescharacteristic, complemented
847C2×C61—22no—
848C2×C61—41no—
849C2×C61—41no—
850C2×C61—42no—
851C2×C61—81no—
852C2×C61—81no—
853C2×C61#348911yescharacteristic
854C2×C61C2×#57511yescharacteristic
855C2×C61#358411yescharacteristic
856#557C22×C6111yescharacteristic, complemented
857#556C22×C6111yescharacteristic
858#555C22×C6111yescharacteristic
859#554C22×C6111yescharacteristic
860#554C22×C6111yescharacteristic
861#554C22×C6111yescharacteristic, complemented
862#553—21no—
863#553C22×C6111yescharacteristic
864#553C22×C6111yescharacteristic, complemented
865#552—21no—
866#552—21no—
867#552—21no—
868#552—21no—
869#552C22×C6111yescharacteristic
870#552C22×C6111yescharacteristic
871#552C22×C6111yescharacteristic
872#552C22×C6111yescharacteristic, complemented
873#551—21no—
874#551—21no—
875#547—21no—
876#547C22×C6111yescharacteristic
877#547C22×C6111yescharacteristic
878#546C22×C6111yescharacteristic
879#546C22×C6111yescharacteristic
880#541—21no—
881#539—21no—
882#539—21no—
883#533C22×C6111yescharacteristic
884#533C22×C6111yescharacteristic, complemented
885#529—21no—
886#529—21no—
887#529C22×C6111yescharacteristic
888#529C22×C6111yescharacteristic
889#529C22×C6111yescharacteristic
890#529C22×C6111yescharacteristic, complemented
891#529C22×C6111yescharacteristic, complemented
892C2×#125C22×C6111yescharacteristic
893C2×#125C22×C6111yescharacteristic, complemented
894#525—21no—
895#520—21no—
896C4×#41C22×C6111yescharacteristic
897C4×#41C22×C6111yescharacteristic
898C4×#41C22×C6111yescharacteristic
899C2×C4×D4C22×C6111yescharacteristic
900C2×#117—21no—
901#501C22×C6111yescharacteristic, complemented
902#501C22×C6111yescharacteristic, complemented
903#501C22×C6111yescharacteristic, complemented
904#501C22×C6111yescharacteristic, complemented
905#499C22×C6111yescharacteristic, complemented
906#499C22×C6111yescharacteristic, complemented
907#491C22×C6111yescharacteristic, complemented
908#491C22×C6111yescharacteristic, complemented
909#489C22×C6111yescharacteristic
910#489C22×C6111yescharacteristic
911#488C22×C6111yescharacteristic
912#488C22×C6111yescharacteristic
913#485C22×C6111yescharacteristic, complemented
914#485C22×C6111yescharacteristic, complemented
915#485C22×C6111yescharacteristic, complemented
916#485C22×C6111yescharacteristic, complemented
917#484C22×C6111yescharacteristic
918#484C22×C6111yescharacteristic
919#484C22×C6111yescharacteristic, complemented
920#483C22×C6111yescharacteristic
921#483C22×C6111yescharacteristic
922#483C22×C6111yescharacteristic
923#483C22×C6111yescharacteristic, complemented
924#482C22×C6111yescharacteristic
925#482C22×C6111yescharacteristic
926#482C22×C6111yescharacteristic, complemented
927#482C22×C6111yescharacteristic, complemented
928#481C22×C6111yescharacteristic
929#480C22×C6111yescharacteristic
930#480C22×C6111yescharacteristic
931#479C22×C6111yescharacteristic, complemented
932#479C22×C6111yescharacteristic, complemented
933#479C22×C6111yescharacteristic, complemented
934#479C22×C6111yescharacteristic, complemented
935#479C22×C6111yescharacteristic, complemented
936#479C22×C6111yescharacteristic, complemented
937#479C22×C6111yescharacteristic, complemented
938#479C22×C6111yescharacteristic, complemented
939#479C22×C6111yescharacteristic, complemented
940#479C22×C6111yescharacteristic, complemented
941#478C22×C6111yescharacteristic
942#478C22×C6111yescharacteristic
943#478C22×C6111yescharacteristic
944#478C22×C6111yescharacteristic
945#478C22×C6111yescharacteristic
946#478C22×C6111yescharacteristic
947#478C22×C6111yescharacteristic
948#478C22×C6111yescharacteristic
949#478C22×C6111yescharacteristic
950#478C22×C6111yescharacteristic
951#478C22×C6111yescharacteristic
952#478C22×C6111yescharacteristic
953#478C22×C6111yescharacteristic, complemented
954#478C22×C6111yescharacteristic, complemented
955#477C22×C6111yescharacteristic, complemented
956#476C22×C6111yescharacteristic
957#475C22×C6111yescharacteristic, complemented
958#475C22×C6111yescharacteristic, complemented
959#474C22×C6111yescharacteristic
960#474C22×C6111yescharacteristic, complemented
961#470C22×C6111yescharacteristic, complemented
962#469C22×C6111yescharacteristic
963#468C22×C6111yescharacteristic
964#468C22×C6111yescharacteristic, complemented
965#467C22×C6111yescharacteristic
966#467C22×C6111yescharacteristic
967#467C22×C6111yescharacteristic, complemented
968#466C22×C6111yescharacteristic
969#465C22×C6111yescharacteristic
970#465C22×C6111yescharacteristic
971#465C22×C6111yescharacteristic
972#465C22×C6111yescharacteristic, complemented
973#464C22×C6111yescharacteristic
974#464C22×C6111yescharacteristic
975#464C22×C6111yescharacteristic, complemented
976#464C22×C6111yescharacteristic, complemented
977#463C22×C6111yescharacteristic
978#463C22×C6111yescharacteristic
979#463C22×C6111yescharacteristic
980#463C22×C6111yescharacteristic
981#462C22×C6111yescharacteristic, complemented
982#461C22×C6111yescharacteristic, complemented
983#452C22×C6111yescharacteristic
984#452C22×C6111yescharacteristic
985#450C22×C6111yescharacteristic
986#449C22×C6111yescharacteristic
987#449C22×C6111yescharacteristic
988#447C22×C6111yescharacteristic
989#446C22×C6111yescharacteristic, complemented
990#446C22×C6111yescharacteristic, complemented
991#442C22×C6111yescharacteristic
992#442C22×C6111yescharacteristic
993#442C22×C6111yescharacteristic
994#441C22×C6111yescharacteristic, complemented
995#440C22×C6111yescharacteristic
996#440C22×C6111yescharacteristic
997#440C22×C6111yescharacteristic
998#440C22×C6111yescharacteristic, complemented
999C4×Q16C22×C6111yescharacteristic, complemented
1000C4×SD16C22×C6111yescharacteristic
1001C4×SD16C22×C6111yescharacteristic, complemented
1002C4×D8C22×C6111yescharacteristic
1003#435C22×C6111yescharacteristic
1004#435C22×C6111yescharacteristic
1005#435C22×C6111yescharacteristic, complemented
1006#435C22×C6111yescharacteristic, complemented
1007C8×D4C22×C6111yescharacteristic
1008C8×D4C22×C6111yescharacteristic
1009#432C22×C6111yescharacteristic
1010#432C22×C6111yescharacteristic, complemented
1011#431C22×C6111yescharacteristic, complemented
1012#428C22×C6111yescharacteristic, complemented
1013#428C22×C6111yescharacteristic, complemented
1014#427C22×C6111yescharacteristic, complemented
1015#427C22×C6111yescharacteristic, complemented
1016C2×#107C22×C6111yescharacteristic
1017C2×#106C22×C6111yescharacteristic
1018#423C22×C6111yescharacteristic, complemented
1019C2×C4⋊C8C22×C6111yescharacteristic
1020C2×C4⋊C8C22×C6111yescharacteristic, complemented
1021#417C22×C6111yescharacteristic
1022#417C22×C6111yescharacteristic
1023#416C22×C6111yescharacteristic
1024#416C22×C6111yescharacteristic
1025C2×#102C22×C6111yescharacteristic
1026C2×#102C22×C6111yescharacteristic
1027C61#6213811yescharacteristic, direct product factor, Sylow
1028C2×#41—21no—
1029C2×#41D4×C6111yescharacteristic
1030C2×#41C23×C6111yescharacteristic
1031C2×#41C23×C6111yescharacteristic
1032C22×D4C23×C6111yescharacteristic
1033C23×C4—21no—
1034C2×Q16C23×C6111yescharacteristic
1035C2×Q16C23×C6111yescharacteristic
1036C2×SD16C23×C6111yescharacteristic
1037C2×SD16C23×C6111yescharacteristic
1038C2×SD16C23×C6111yescharacteristic
1039C2×SD16C23×C6111yescharacteristic
1040C2×D8C23×C6111yescharacteristic
1041C2×D8C23×C6111yescharacteristic
1042C2×M16C23×C6111yescharacteristic
1043C2×M16C23×C6111yescharacteristic
1044C22×C8C23×C6111yescharacteristic
1045C22×C8C23×C6111yescharacteristic
1046C22×C8C23×C6111yescharacteristic
1047C22×C8C23×C6111yescharacteristic
1048C4⋊Q8—21no—
1049C4⋊Q8C23×C6111yescharacteristic
1050C4⋊Q8C23×C6111yescharacteristic
1051C4⋊Q8C23×C6111yescharacteristic
1052C4⋊Q8C23×C6111yescharacteristic
1053#126—21no—
1054#126—21no—
1055#126—21no—
1056#126—21no—
1057#126—21no—
1058#126—21no—
1059#126—21no—
1060#126—21no—
1061#126—21no—
1062#126—21no—
1063#126—21no—
1064#126—21no—
1065#126—21no—
1066#125—21no—
1067#125—21no—
1068#125—21no—
1069#125—21no—
1070#125—21no—
1071#125—21no—
1072#125—21no—
1073#125—21no—
1074#125—21no—
1075#125—21no—
1076#125—21no—
1077#125—21no—
1078#125C23×C6111yescharacteristic
1079#125C23×C6111yescharacteristic
1080#125C23×C6111yescharacteristic
1081#125C23×C6111yescharacteristic
1082#125C23×C6111yescharacteristic
1083#125C23×C6111yescharacteristic
1084#125C23×C6111yescharacteristic
1085#125C23×C6111yescharacteristic
1086#125C23×C6111yescharacteristic
1087#124—21no—
1088#124—21no—
1089#124C23×C6111yescharacteristic
1090#124C23×C6111yescharacteristic
1091#124C23×C6111yescharacteristic
1092#123—21no—
1093#123—21no—
1094#123—21no—
1095#123—21no—
1096#123—21no—
1097#123—21no—
1098#123—21no—
1099#123—21no—
1100#123—21no—
1101#123—21no—
1102#123—21no—
1103#123—21no—
1104#123—21no—
1105#123—21no—
1106#123—21no—
1107#123—21no—
1108#123—21no—
1109C22⋊Q8—21no—
1110C22⋊Q8—21no—
1111C22⋊Q8—21no—
1112C22⋊Q8—21no—
1113C22⋊Q8—21no—
1114C22⋊Q8—21no—
1115C22⋊Q8—21no—
1116C22⋊Q8—21no—
1117C22⋊Q8—21no—
1118C22⋊Q8—21no—
1119C22⋊Q8—21no—
1120C22⋊Q8—21no—
1121C22⋊Q8—21no—
1122C22⋊Q8C23×C6111yescharacteristic
1123C22⋊Q8C23×C6111yescharacteristic
1124C22⋊Q8C23×C6111yescharacteristic
1125C22⋊Q8C23×C6111yescharacteristic
1126C22⋊Q8C23×C6111yescharacteristic
1127C22⋊Q8C23×C6111yescharacteristic
1128C22⋊Q8C23×C6111yescharacteristic
1129#121—21no—
1130#121—21no—
1131#121—21no—
1132#121—21no—
1133#121—21no—
1134#121—21no—
1135#121C23×C6111yescharacteristic
1136#121C23×C6111yescharacteristic
1137#121C23×C6111yescharacteristic
1138#121C23×C6111yescharacteristic
1139#121C23×C6111yescharacteristic
1140#120—21no—
1141#120—21no—
1142C4×Q8—21no—
1143C4×Q8—21no—
1144C4×Q8—21no—
1145C4×Q8—21no—
1146C4×Q8D4×C6111yescharacteristic
1147C4×Q8C23×C6111yescharacteristic
1148C4×Q8C23×C6111yescharacteristic
1149C4×Q8C23×C6111yescharacteristic
1150C4×Q8C23×C6111yescharacteristic
1151C4×Q8C23×C6111yescharacteristic
1152C4×Q8C23×C6111yescharacteristic
1153C4×Q8C23×C6111yescharacteristic
1154C4×Q8C23×C6111yescharacteristic
1155C4×D4—21no—
1156C4×D4—21no—
1157C4×D4—21no—
1158C4×D4—21no—
1159C4×D4—21no—
1160C4×D4—21no—
1161C4×D4—21no—
1162C4×D4—21no—
1163C4×D4—21no—
1164C4×D4—21no—
1165C4×D4—21no—
1166C4×D4—21no—
1167C4×D4—21no—
1168C4×D4—21no—
1169C4×D4D4×C6111yescharacteristic
1170C4×D4D4×C6111yescharacteristic
1171C4×D4D4×C6111yescharacteristic
1172C4×D4C23×C6111yescharacteristic
1173C4×D4C23×C6111yescharacteristic
1174C4×D4C23×C6111yescharacteristic
1175C4×D4C23×C6111yescharacteristic
1176C4×D4C23×C6111yescharacteristic
1177C4×D4C23×C6111yescharacteristic
1178C4×D4C23×C6111yescharacteristic
1179C4×D4C23×C6111yescharacteristic
1180C4×D4C23×C6111yescharacteristic
1181C4×D4C23×C6111yescharacteristic
1182C4×D4C23×C6111yescharacteristic
1183C4×D4C23×C6111yescharacteristic
1184#117—21no—
1185#117—21no—
1186#117—21no—
1187#117—21no—
1188#117—21no—
1189#117—21no—
1190#117—21no—
1191#117—21no—
1192#117—21no—
1193#117—21no—
1194#117—21no—
1195#117—21no—
1196#117—21no—
1197#117—21no—
1198#117D4×C6111yescharacteristic
1199#117D4×C6111yescharacteristic
1200#117D4×C6111yescharacteristic
1201#117C23×C6111yescharacteristic
1202#117C23×C6111yescharacteristic
1203#117C23×C6111yescharacteristic
1204#117C23×C6111yescharacteristic
1205C2×C4⋊C4—21no—
1206C2×C4⋊C4—21no—
1207C2×C4⋊C4—21no—
1208C2×C4⋊C4—21no—
1209C2×C4⋊C4—21no—
1210C2×C4⋊C4—21no—
1211C2×C4⋊C4—21no—
1212C2×C4⋊C4C23×C6111yescharacteristic
1213C2×C4⋊C4C23×C6111yescharacteristic
1214C2×C4⋊C4C23×C6111yescharacteristic
1215C2×C4⋊C4C23×C6111yescharacteristic
1216C2×C4⋊C4C23×C6111yescharacteristic
1217C2×C22⋊C4—21no—
1218C2×C22⋊C4—21no—
1219C2×C22⋊C4—21no—
1220C2×C42—21no—
1221C2×C42—21no—
1222C2×C42C23×C6111yescharacteristic
1223C2×C42C23×C6111yescharacteristic
1224C2×C42C23×C6111yescharacteristic
1225#107C23×C6111yescharacteristic
1226#107C23×C6111yescharacteristic
1227#107C23×C6111yescharacteristic
1228#107C23×C6111yescharacteristic
1229#107C23×C6111yescharacteristic
1230#107C23×C6111yescharacteristic
1231#107C23×C6111yescharacteristic
1232#107C23×C6111yescharacteristic
1233#107C23×C6111yescharacteristic
1234#107C23×C6111yescharacteristic
1235#107C23×C6111yescharacteristic
1236#107C23×C6111yescharacteristic
1237#106C23×C6111yescharacteristic
1238#106C23×C6111yescharacteristic
1239#106C23×C6111yescharacteristic
1240#106C23×C6111yescharacteristic
1241#106C23×C6111yescharacteristic
1242#106C23×C6111yescharacteristic
1243#106C23×C6111yescharacteristic
1244#106C23×C6111yescharacteristic
1245#106C23×C6111yescharacteristic
1246#106C23×C6111yescharacteristic
1247#106C23×C6111yescharacteristic
1248#106C23×C6111yescharacteristic
1249C4⋊C8C23×C6111yescharacteristic
1250C4⋊C8C23×C6111yescharacteristic
1251C4⋊C8C23×C6111yescharacteristic
1252C4⋊C8C23×C6111yescharacteristic
1253C4⋊C8C23×C6111yescharacteristic
1254C4⋊C8C23×C6111yescharacteristic
1255C4⋊C8C23×C6111yescharacteristic
1256C4⋊C8C23×C6111yescharacteristic
1257C4⋊C8C23×C6111yescharacteristic
1258C4⋊C8C23×C6111yescharacteristic
1259#103C23×C6111yescharacteristic
1260#103C23×C6111yescharacteristic
1261#103C23×C6111yescharacteristic
1262#103C23×C6111yescharacteristic
1263#103C23×C6111yescharacteristic
1264#103C23×C6111yescharacteristic
1265#103C23×C6111yescharacteristic
1266#103C23×C6111yescharacteristic
1267#103C23×C6111yescharacteristic
1268#103C23×C6111yescharacteristic
1269#103C23×C6111yescharacteristic
1270#103C23×C6111yescharacteristic
1271#103C23×C6111yescharacteristic
1272#103C23×C6111yescharacteristic
1273#103C23×C6111yescharacteristic
1274#103C23×C6111yescharacteristic
1275#102C23×C6111yescharacteristic
1276#102C23×C6111yescharacteristic
1277#102C23×C6111yescharacteristic
1278#102C23×C6111yescharacteristic
1279#102C23×C6111yescharacteristic
1280#102C23×C6111yescharacteristic
1281#102C23×C6111yescharacteristic
1282#102C23×C6111yescharacteristic
1283#102C23×C6111yescharacteristic
1284#102C23×C6111yescharacteristic
1285#102C23×C6111yescharacteristic
1286#102C23×C6111yescharacteristic
1287#102C23×C6111yescharacteristic
1288#102C23×C6111yescharacteristic
1289#102C23×C6111yescharacteristic
1290#102C23×C6111yescharacteristic
1291C22⋊C8C23×C6111yescharacteristic
1292C22⋊C8C23×C6111yescharacteristic
1293C22⋊C8C23×C6111yescharacteristic
1294C22⋊C8C23×C6111yescharacteristic
1295C22⋊C8C23×C6111yescharacteristic
1296C22⋊C8C23×C6111yescharacteristic
1297#97C23×C6111yescharacteristic
1298#97C23×C6111yescharacteristic
1299#97C23×C6111yescharacteristic
1300#97C23×C6111yescharacteristic
1301C4×C8C23×C6111yescharacteristic
1302C4×C8C23×C6111yescharacteristic
1303C24—21no—
1304#41—22no—
1305#41—22no—
1306#41—42no—
1307#41—41no—
1308#41—41no—
1309#41—44no—
1310C2×Q8—21no—
1311C2×Q8—21no—
1312C2×Q8—21no—
1313C2×Q8C2×D4×C6111yescharacteristic
1314C2×Q8C24×C6111yescharacteristic
1315C2×Q8C24×C6111yescharacteristic
1316C2×Q8C24×C6111yescharacteristic
1317C2×D4—22no—
1318C2×D4—21no—
1319C2×D4—21no—
1320C2×D4—21no—
1321C2×D4—21no—
1322C2×D4—21no—
1323C2×D4—21no—
1324C2×D4—21no—
1325C2×D4—21no—
1326C2×D4—41no—
1327C2×D4C2×D4×C6111yescharacteristic
1328C2×D4C2×D4×C6111yescharacteristic
1329C2×D4C2×D4×C6111yescharacteristic
1330C2×D4C24×C6111yescharacteristic
1331C2×D4C24×C6111yescharacteristic
1332C2×D4C24×C6111yescharacteristic
1333C22×C4—21no—
1334C22×C4—21no—
1335C22×C4—21no—
1336C22×C4—21no—
1337C22×C4—21no—
1338C22×C4—21no—
1339C22×C4—21no—
1340C22×C4—21no—
1341C22×C4—21no—
1342C22×C4—21no—
1343C22×C4—21no—
1344C22×C4—21no—
1345C22×C4—21no—
1346C22×C4—21no—
1347C22×C4—21no—
1348C22×C4—21no—
1349C22×C4—44no—
1350C22×C4C2×D4×C6111yescharacteristic
1351C22×C4C2×D4×C6111yescharacteristic
1352C22×C4C2×D4×C6111yescharacteristic
1353C22×C4C2×D4×C6111yescharacteristic
1354C22×C4C2×D4×C6111yescharacteristic
1355C22×C4C2×D4×C6111yescharacteristic
1356C22×C4C24×C6111yescharacteristic
1357C22×C4C24×C6111yescharacteristic
1358C22×C4C24×C6111yescharacteristic
1359Q16—41no—
1360Q16—41no—
1361SD16—22no—
1362SD16—41no—
1363SD16—41no—
1364SD16—41no—
1365D8—22no—
1366D8—41no—
1367M16—41no—
1368M16—41no—
1369C2×C8—41no—
1370C2×C8—41no—
1371C2×C8—41no—
1372C2×C8—41no—
1373C2×C8C24×C6111yescharacteristic
1374C2×C8C24×C6111yescharacteristic
1375C2×C8C24×C6111yescharacteristic
1376C2×C8C24×C6111yescharacteristic
1377C2×C8C24×C6111yescharacteristic
1378C2×C8C24×C6111yescharacteristic
1379C2×C8C24×C6111yescharacteristic
1380C2×C8C24×C6111yescharacteristic
1381C4⋊C4—21no—
1382C4⋊C4—21no—
1383C4⋊C4—21no—
1384C4⋊C4—21no—
1385C4⋊C4—21no—
1386C4⋊C4—21no—
1387C4⋊C4—21no—
1388C4⋊C4—21no—
1389C4⋊C4—21no—
1390C4⋊C4—21no—
1391C4⋊C4—21no—
1392C4⋊C4—21no—
1393C4⋊C4—21no—
1394C4⋊C4—21no—
1395C4⋊C4—21no—
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—21no—
1401C4⋊C4—21no—
1402C4⋊C4—21no—
1403C4⋊C4—21no—
1404C4⋊C4—21no—
1405C4⋊C4—21no—
1406C4⋊C4—21no—
1407C4⋊C4—21no—
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—21no—
1415C4⋊C4—21no—
1416C4⋊C4—21no—
1417C4⋊C4—21no—
1418C4⋊C4—21no—
1419C4⋊C4—21no—
1420C4⋊C4—21no—
1421C4⋊C4—21no—
1422C4⋊C4—21no—
1423C4⋊C4C2×D4×C6111yescharacteristic
1424C4⋊C4C2×D4×C6111yescharacteristic
1425C4⋊C4C2×D4×C6111yescharacteristic
1426C4⋊C4C2×D4×C6111yescharacteristic
1427C4⋊C4C2×D4×C6111yescharacteristic
1428C4⋊C4C2×D4×C6111yescharacteristic
1429C4⋊C4C24×C6111yescharacteristic
1430C4⋊C4C24×C6111yescharacteristic
1431C4⋊C4C24×C6111yescharacteristic
1432C4⋊C4C24×C6111yescharacteristic
1433C4⋊C4C24×C6111yescharacteristic
1434C4⋊C4C24×C6111yescharacteristic
1435C4⋊C4C24×C6111yescharacteristic
1436C4⋊C4C24×C6111yescharacteristic
1437C4⋊C4C24×C6111yescharacteristic
1438C4⋊C4C24×C6111yescharacteristic
1439C22⋊C4—21no—
1440C22⋊C4—21no—
1441C22⋊C4—21no—
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⋊C4—21no—
1462C22⋊C4—21no—
1463C22⋊C4—21no—
1464C22⋊C4—21no—
1465C22⋊C4—21no—
1466C22⋊C4—21no—
1467C22⋊C4—21no—
1468C22⋊C4—21no—
1469C22⋊C4—21no—
1470C22⋊C4C2×D4×C6111yescharacteristic
1471C22⋊C4C2×D4×C6111yescharacteristic
1472C22⋊C4C2×D4×C6111yescharacteristic
1473C22⋊C4C2×D4×C6111yescharacteristic
1474C22⋊C4C2×D4×C6111yescharacteristic
1475C22⋊C4C2×D4×C6111yescharacteristic
1476C42—21no—
1477C42—21no—
1478C42—21no—
1479C42—21no—
1480C42—21no—
1481C42—21no—
1482C42—21no—
1483C42—21no—
1484C42—21no—
1485C42—21no—
1486C42—21no—
1487C42C2×D4×C6111yescharacteristic
1488C42C2×D4×C6111yescharacteristic
1489C42C2×D4×C6111yescharacteristic
1490C42C2×D4×C6111yescharacteristic
1491C42C2×D4×C6111yescharacteristic
1492C42C2×D4×C6111yescharacteristic
1493C42C24×C6111yescharacteristic
1494C42C24×C6111yescharacteristic
1495C42C24×C6111yescharacteristic
1496C42C24×C6111yescharacteristic
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—42no—
1501C23—42no—
1502C23—81no—
1503C23C22×D4×C6111yescharacteristic
1504C23C22×D4×C6111yescharacteristic
1505C23C22×D4×C6111yescharacteristic
1506Q8—21no—
1507Q8—21no—
1508Q8—21no—
1509Q8—21no—
1510Q8—21no—
1511Q8—21no—
1512Q8—41no—
1513Q8—42no—
1514Q8—81no—
1515Q8—81no—
1516D4—22no—
1517D4—22no—
1518D4—21no—
1519D4—21no—
1520D4—21no—
1521D4—21no—
1522D4—21no—
1523D4—41no—
1524D4—42no—
1525D4—42no—
1526D4—42no—
1527D4—42no—
1528D4—42no—
1529D4—81no—
1530D4—81no—
1531D4—81no—
1532D42−1+4×C6112yes—
1533C2×C4—22no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—41no—
1554C2×C4—41no—
1555C2×C4—41no—
1556C2×C4—41no—
1557C2×C4—41no—
1558C2×C4—42no—
1559C2×C4—42no—
1560C2×C4—42no—
1561C2×C4—42no—
1562C2×C4—42no—
1563C2×C4—42no—
1564C2×C4—42no—
1565C2×C4—42no—
1566C2×C4—42no—
1567C2×C4—42no—
1568C2×C4—81no—
1569C2×C4—81no—
1570C2×C4—81no—
1571C2×C4—81no—
1572C2×C4—81no—
1573C2×C4—81no—
1574C2×C4C22×D4×C6111yescharacteristic
1575C2×C4C22×D4×C6111yescharacteristic
1576C2×C4C22×D4×C6111yescharacteristic
1577C2×C4C22×D4×C6111yescharacteristic
1578C2×C4C22×D4×C6111yescharacteristic
1579C2×C4C22×D4×C6111yescharacteristic
1580C2×C4C22×D4×C6111yescharacteristic
1581C2×C4C22×D4×C6111yescharacteristic
1582C2×C4C22×D4×C6111yescharacteristic
1583C2×C4C22×D4×C6111yescharacteristic
1584C2×C4C22×D4×C6111yescharacteristic
1585C2×C4C25×C6111yescharacteristic
1586C8—21no—
1587C8—21no—
1588C8—21no—
1589C8—21no—
1590C8—21no—
1591C8—21no—
1592C8—21no—
1593C8—21no—
1594C22—21no—
1595C22—21no—
1596C22—21no—
1597C22—21no—
1598C22—21no—
1599C22—21no—
1600C22—21no—
1601C22—21no—
1602C22—22no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—84no—
1612C22C61×#57512yes—
1613C22C23×D4×C6111yescharacteristic
1614C4—21no—
1615C4—21no—
1616C4—21no—
1617C4—21no—
1618C4—21no—
1619C4—21no—
1620C4—21no—
1621C4—21no—
1622C4—21no—
1623C4—21no—
1624C4—21no—
1625C4—41no—
1626C4—41no—
1627C4—41no—
1628C4—41no—
1629C4—41no—
1630C4—41no—
1631C4—41no—
1632C4—41no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4C2×2−1+4×C6111yescharacteristic
1639C4C61×#58511yescharacteristic
1640C2—22no—
1641C2—41no—
1642C2—41no—
1643C2—42no—
1644C2—81no—
1645C2—81no—
1646C2C61×#348911yescharacteristic
1647C2C2×C61×#57511yescharacteristic
1648C2C61×#358411yescharacteristic
subgroupG/H
center, socleC22×C61C23×D4
commutator, Frattini, cosocleC2×C4C25×C61
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C61 ◁ C4×#41×C61 ◁ G

Complements

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

NH ≅ G/Ntype
1. C61×#3515C2semidirect
2. C61×#3475C2semidirect
3. C61×#3389C2semidirect
4. C61×#3388C2semidirect
5. C61×#3377C2semidirect
6. C61×#3376C2semidirect
7. C61×#3348C2semidirect
8. C61×#3347C2semidirect
9. C61×#3344C2semidirect
10. C61×#3343C2semidirect
11. C61×#3337C2semidirect
12. C61×#3336C2semidirect
13. C61×#3315C2semidirect
14. C61×#3314C2semidirect
15. C61×#3307C2semidirect
16. C61×#3306C2semidirect
17. C61×#3297C2semidirect
18. C61×#3296C2semidirect
19. C61×#3256C2semidirect
20. C61×#3250C2semidirect
21. C61×#3248C2semidirect
22. C61×#3240C2semidirect
23. C61×#3236C2semidirect
24. C61×#3232C2semidirect
25. C61×#3114C2semidirect
26. C61×#3111C2semidirect
27. C61×#3102C2semidirect
28. C61×#3080C2semidirect
29. C61×#3076C2semidirect
30. C2×C61×#478C2semidirect
31. C61×#2990C2semidirect
32. C61×#557C22semidirect
37. C61×#554C22semidirect
40. C61×#553C22semidirect
48. C61×#552C22semidirect
60. C61×#533C22semidirect
66. C61×#529C22semidirect
67. C61×#529C22semidirect
69. C2×#125×C61C22semidirect
77. C61×#501C22semidirect
78. C61×#501C22semidirect
79. C61×#501C22semidirect
80. C61×#501C22semidirect
81. C61×#499C22semidirect
82. C61×#499C22semidirect
83. C61×#491C22semidirect
84. C61×#491C22semidirect
89. C61×#485C22semidirect
90. C61×#485C22semidirect
91. C61×#485C22semidirect
92. C61×#485C22semidirect
95. C61×#484C22semidirect
99. C61×#483C22semidirect
102. C61×#482C22semidirect
103. C61×#482C22semidirect
107. C61×#479C22semidirect
108. C61×#479C22semidirect
109. C61×#479C22semidirect
110. C61×#479C22semidirect
111. C61×#479C22semidirect
112. C61×#479C22semidirect
113. C61×#479C22semidirect
114. C61×#479C22semidirect
115. C61×#479C22semidirect
116. C61×#479C22semidirect
129. C61×#478C22semidirect
130. C61×#478C22semidirect
131. C61×#477C22semidirect
133. C61×#475C22semidirect
134. C61×#475C22semidirect
136. C61×#474C22semidirect
137. C61×#470C22semidirect
140. C61×#468C22semidirect
143. C61×#467C22semidirect
148. C61×#465C22semidirect
151. C61×#464C22semidirect
152. C61×#464C22semidirect
157. C61×#462C22semidirect
158. C61×#461C22semidirect
165. C61×#446C22semidirect
166. C61×#446C22semidirect
170. C61×#441C22semidirect
174. C61×#440C22semidirect
175. C4×Q16×C61C22semidirect
177. C4×SD16×C61C22semidirect
181. C61×#435C22semidirect
182. C61×#435C22semidirect
186. C61×#432C22semidirect
187. C61×#431C22semidirect
188. C61×#428C22semidirect
189. C61×#428C22semidirect
190. C61×#427C22semidirect
191. C61×#427C22semidirect
194. C61×#423C22semidirect
196. C2×C4⋊C8×C61C22semidirect
769. #62138C61direct (N × H)
816. #3515C2×C61semidirect
817. #3475C2×C61semidirect
818. #3389C2×C61semidirect
819. #3388C2×C61semidirect
820. #3377C2×C61semidirect
821. #3376C2×C61semidirect
822. #3348C2×C61semidirect
823. #3347C2×C61semidirect
824. #3344C2×C61semidirect
825. #3343C2×C61semidirect
826. #3337C2×C61semidirect
827. #3336C2×C61semidirect
828. #3315C2×C61semidirect
829. #3314C2×C61semidirect
830. #3307C2×C61semidirect
831. #3306C2×C61semidirect
832. #3297C2×C61semidirect
833. #3296C2×C61semidirect
834. #3256C2×C61semidirect
835. #3250C2×C61semidirect
836. #3248C2×C61semidirect
837. #3240C2×C61semidirect
838. #3236C2×C61semidirect
839. #3232C2×C61semidirect
840. #3114C2×C61semidirect
841. #3111C2×C61semidirect
842. #3102C2×C61semidirect
843. #3080C2×C61semidirect
844. #3076C2×C61semidirect
845. C2×#478C2×C61semidirect
846. #2990C2×C61semidirect
856. #557C22×C61semidirect
861. #554C22×C61semidirect
864. #553C22×C61semidirect
872. #552C22×C61semidirect
884. #533C22×C61semidirect
890. #529C22×C61semidirect
891. #529C22×C61semidirect
893. C2×#125C22×C61semidirect
901. #501C22×C61semidirect
902. #501C22×C61semidirect
903. #501C22×C61semidirect
904. #501C22×C61semidirect
905. #499C22×C61semidirect
906. #499C22×C61semidirect
907. #491C22×C61semidirect
908. #491C22×C61semidirect
913. #485C22×C61semidirect
914. #485C22×C61semidirect
915. #485C22×C61semidirect
916. #485C22×C61semidirect
919. #484C22×C61semidirect
923. #483C22×C61semidirect
926. #482C22×C61semidirect
927. #482C22×C61semidirect
931. #479C22×C61semidirect
932. #479C22×C61semidirect
933. #479C22×C61semidirect
934. #479C22×C61semidirect
935. #479C22×C61semidirect
936. #479C22×C61semidirect
937. #479C22×C61semidirect
938. #479C22×C61semidirect
939. #479C22×C61semidirect
940. #479C22×C61semidirect
953. #478C22×C61semidirect
954. #478C22×C61semidirect
955. #477C22×C61semidirect
957. #475C22×C61semidirect
958. #475C22×C61semidirect
960. #474C22×C61semidirect
961. #470C22×C61semidirect
964. #468C22×C61semidirect
967. #467C22×C61semidirect
972. #465C22×C61semidirect
975. #464C22×C61semidirect
976. #464C22×C61semidirect
981. #462C22×C61semidirect
982. #461C22×C61semidirect
989. #446C22×C61semidirect
990. #446C22×C61semidirect
994. #441C22×C61semidirect
998. #440C22×C61semidirect
999. C4×Q16C22×C61semidirect
1001. C4×SD16C22×C61semidirect
1005. #435C22×C61semidirect
1006. #435C22×C61semidirect
1010. #432C22×C61semidirect
1011. #431C22×C61semidirect
1012. #428C22×C61semidirect
1013. #428C22×C61semidirect
1014. #427C22×C61semidirect
1015. #427C22×C61semidirect
1018. #423C22×C61semidirect
1020. C2×C4⋊C8C22×C61semidirect
1027. C61#62138direct (N × H)

Maximal subgroups

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

subgroupindex
C61×#35152
C61×#34752
C61×#33892
C61×#33882
C61×#33772
C61×#33762
C61×#33482
C61×#33472
C61×#33442
C61×#33432
C61×#33372
C61×#33362
C61×#33152
C61×#33142
C61×#33072
C61×#33062
C61×#32972
C61×#32962
C61×#32562
C61×#32502
C61×#32482
C61×#32402
C61×#32362
C61×#32322
C61×#31142
C61×#31112
C61×#31022
C61×#30802
C61×#30762
C2×C61×#4782
C61×#29902
#6213861