Finite Group Databasebeta

← C61×#61783 #29565216

Subgroups — C61×#61783 #29565216

Order 15616.

1802 conjugacy classes of subgroups.

The subgroup lattice has 1766 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C61×#3542C211yesmaximal, characteristic, complemented
2C61×#3494C211yesmaximal, characteristic, complemented
3C61×#3355C211yesmaximal, characteristic, complemented
4C61×#3354C211yesmaximal, characteristic, complemented
5C61×#3354C211yesmaximal, characteristic, complemented
6C61×#3351C211yesmaximal, characteristic, complemented
7C61×#3348C211yesmaximal, characteristic, complemented
8C61×#3347C211yesmaximal, characteristic, complemented
9C61×#3345C211yesmaximal, characteristic, complemented
10C61×#3345C211yesmaximal, characteristic, complemented
11C61×#3332C211yesmaximal, characteristic, complemented
12C61×#3325C211yesmaximal, characteristic, complemented
13C61×#3322C211yesmaximal, characteristic, complemented
14C61×#3322C211yesmaximal, characteristic, complemented
15C61×#3319C211yesmaximal, characteristic, complemented
16C61×#3318C211yesmaximal, characteristic, complemented
17C61×#3309C211yesmaximal, characteristic, complemented
18C61×#3306C211yesmaximal, characteristic, complemented
19C61×#3244C211yesmaximal, characteristic, complemented
20C61×#3241C211yesmaximal, characteristic, complemented
21C61×#3199C211yesmaximal, characteristic, complemented
22C61×#3198C211yesmaximal, characteristic, complemented
23C61×#3194C211yesmaximal, characteristic, complemented
24C61×#3192C211yesmaximal, characteristic, complemented
25C61×#3122C211yesmaximal, characteristic, complemented
26C61×#3118C211yesmaximal, characteristic, complemented
27C61×#3099C211yesmaximal, characteristic, complemented
28C61×#3096C211yesmaximal, characteristic, complemented
29C61×#3094C211yesmaximal, characteristic, complemented
30C61×#3093C211yesmaximal, characteristic, complemented
31C61×#2978C211yesmaximal, characteristic, complemented
32C61×#562—21no—
33C61×#560—21no—
34C61×#555C2211yescharacteristic
35C61×#555C2211yescharacteristic, complemented
36C61×#555C2211yescharacteristic, complemented
37C61×#553C2211yescharacteristic
38C61×#553C2211yescharacteristic, complemented
39C61×#553C2211yescharacteristic, complemented
40C61×#553C2211yescharacteristic, complemented
41C61×#553C2211yescharacteristic, complemented
42C61×#552C2211yescharacteristic, complemented
43C61×#551—21no—
44C61×#551—21no—
45C61×#551—21no—
46C61×#550C2211yescharacteristic, complemented
47C61×#547C2211yescharacteristic, complemented
48C61×#547C2211yescharacteristic, complemented
49C61×#547C2211yescharacteristic, complemented
50C61×#546—21no—
51C61×#546—21no—
52C61×#546—21no—
53C61×#546C2211yescharacteristic, complemented
54C61×#546C2211yescharacteristic, complemented
55D42×C61C2211yescharacteristic, complemented
56C61×#544C2211yescharacteristic, complemented
57C61×#542—21no—
58C61×#542C2211yescharacteristic
59C61×#540—21no—
60C61×#540—21no—
61C61×#540C2211yescharacteristic
62C61×#538—21no—
63C61×#537C2211yescharacteristic
64C61×#535—21no—
65C61×#535C2211yescharacteristic
66C61×#535C2211yescharacteristic, complemented
67C61×#534—21no—
68C61×#532—21no—
69C61×#529—21no—
70C61×#525C2211yescharacteristic
71C61×#525C2211yescharacteristic
72C2×#121×C61C2211yescharacteristic
73C2×#121×C61C2211yescharacteristic, complemented
74C61×#520C2211yescharacteristic, complemented
75C61×#518C2211yescharacteristic, complemented
76C2×#117×C61C2211yescharacteristic, complemented
77C61×#501C2211yescharacteristic, complemented
78C61×#501C2211yescharacteristic, complemented
79C61×#499C2211yescharacteristic, complemented
80C61×#498C2211yescharacteristic, complemented
81C61×#490C2211yescharacteristic, complemented
82C61×#489C2211yescharacteristic, complemented
83C61×#488C2211yescharacteristic, complemented
84C61×#486C2211yescharacteristic, complemented
85C61×#485C2211yescharacteristic, complemented
86C61×#485C2211yescharacteristic, complemented
87C61×#485C2211yescharacteristic, complemented
88C61×#485C2211yescharacteristic, complemented
89C61×#485C2211yescharacteristic, complemented
90C61×#483C2211yescharacteristic, complemented
91C61×#483C2211yescharacteristic, complemented
92C61×#482C2211yescharacteristic
93C61×#482C2211yescharacteristic
94C61×#482C2211yescharacteristic, complemented
95C61×#482C2211yescharacteristic, complemented
96C61×#482C2211yescharacteristic, complemented
97C61×#482C2211yescharacteristic, complemented
98C61×#482C2211yescharacteristic, complemented
99C61×#482C2211yescharacteristic, complemented
100C61×#482C2211yescharacteristic, complemented
101C61×#482C2211yescharacteristic, complemented
102C61×#482C2211yescharacteristic, complemented
103C61×#482C2211yescharacteristic, complemented
104C61×#482C2211yescharacteristic, complemented
105C61×#482C2211yescharacteristic, complemented
106C61×#482C2211yescharacteristic, complemented
107C61×#481C2211yescharacteristic
108C61×#481C2211yescharacteristic, complemented
109C61×#481C2211yescharacteristic, complemented
110C61×#481C2211yescharacteristic, complemented
111C61×#481C2211yescharacteristic, complemented
112C61×#481C2211yescharacteristic, complemented
113C61×#481C2211yescharacteristic, complemented
114C61×#481C2211yescharacteristic, complemented
115C61×#481C2211yescharacteristic, complemented
116C61×#480C2211yescharacteristic, complemented
117C61×#480C2211yescharacteristic, complemented
118C61×#480C2211yescharacteristic, complemented
119C61×#480C2211yescharacteristic, complemented
120C61×#480C2211yescharacteristic, complemented
121C61×#479C2211yescharacteristic, complemented
122C61×#478C2211yescharacteristic, complemented
123C61×#478C2211yescharacteristic, complemented
124C61×#478C2211yescharacteristic, complemented
125C61×#478C2211yescharacteristic, complemented
126C61×#478C2211yescharacteristic, complemented
127C61×#476C2211yescharacteristic, complemented
128C61×#476C2211yescharacteristic, complemented
129C61×#476C2211yescharacteristic, complemented
130C61×#475C2211yescharacteristic, complemented
131C61×#474C2211yescharacteristic, complemented
132C61×#474C2211yescharacteristic, complemented
133C61×#469C2211yescharacteristic
134C61×#469C2211yescharacteristic
135C61×#469C2211yescharacteristic
136C61×#469C2211yescharacteristic
137C61×#469C2211yescharacteristic, complemented
138C61×#469C2211yescharacteristic, complemented
139C61×#469C2211yescharacteristic, complemented
140C61×#469C2211yescharacteristic, complemented
141C61×#469C2211yescharacteristic, complemented
142C61×#468C2211yescharacteristic, complemented
143C61×#468C2211yescharacteristic, complemented
144C61×#468C2211yescharacteristic, complemented
145C61×#466C2211yescharacteristic, complemented
146C61×#466C2211yescharacteristic, complemented
147C61×#466C2211yescharacteristic, complemented
148C61×#465C2211yescharacteristic, complemented
149C61×#463C2211yescharacteristic, complemented
150C61×#463C2211yescharacteristic, complemented
151C61×#459C2211yescharacteristic, complemented
152C61×#459C2211yescharacteristic, complemented
153C61×#450C2211yescharacteristic, complemented
154C61×#449C2211yescharacteristic, complemented
155C61×#449C2211yescharacteristic, complemented
156C61×#449C2211yescharacteristic, complemented
157C61×#449C2211yescharacteristic, complemented
158C61×#447C2211yescharacteristic
159C61×#447C2211yescharacteristic
160C61×#447C2211yescharacteristic
161C61×#447C2211yescharacteristic, complemented
162C61×#447C2211yescharacteristic, complemented
163C61×#447C2211yescharacteristic, complemented
164C61×#447C2211yescharacteristic, complemented
165C61×#442C2211yescharacteristic, complemented
166C61×#442C2211yescharacteristic, complemented
167C61×#442C2211yescharacteristic, complemented
168C61×#440C2211yescharacteristic, complemented
169C4×SD16×C61C2211yescharacteristic, complemented
170C4×D8×C61C2211yescharacteristic, complemented
171C4×D8×C61C2211yescharacteristic, complemented
172C4×D8×C61C2211yescharacteristic, complemented
173C61×#436C2211yescharacteristic, complemented
174C61×#436C2211yescharacteristic, complemented
175C61×#436C2211yescharacteristic, complemented
176C61×#436C2211yescharacteristic, complemented
177C61×#435C2211yescharacteristic, complemented
178C61×#435C2211yescharacteristic, complemented
179C61×#435C2211yescharacteristic, complemented
180C61×#435C2211yescharacteristic, complemented
181C61×#433C2211yescharacteristic, complemented
182C61×#433C2211yescharacteristic, complemented
183C61×#428C2211yescharacteristic, complemented
184C61×#428C2211yescharacteristic, complemented
185C61×#428C2211yescharacteristic, complemented
186C61×#428C2211yescharacteristic, complemented
187C61×#428C2211yescharacteristic, complemented
188C61×#428C2211yescharacteristic, complemented
189C61×#427C2211yescharacteristic, complemented
190C2×#106×C61C2211yescharacteristic, complemented
191C61×#418C2211yescharacteristic, complemented
192C61×#418C2211yescharacteristic, complemented
193C61×#418C2211yescharacteristic, complemented
194C61×#417C2211yescharacteristic, complemented
195C61×#417C2211yescharacteristic, complemented
196C61×#417C2211yescharacteristic, complemented
197C61×#416C2211yescharacteristic, complemented
198C2×#102×C61C2211yescharacteristic, complemented
199C61×#408C2211yescharacteristic, complemented
200C61×#408C2211yescharacteristic, complemented
201C61×#407C2211yescharacteristic, complemented
202C61×#407C2211yescharacteristic, complemented
203C2×#41×C61—21no—
204C2×#41×C61—21no—
205C2×#41×C61—21no—
206C2×#41×C61C2311yescharacteristic
207C2×#41×C61C2311yescharacteristic
208C2×#41×C61C2311yescharacteristic
209C22×D4×C61—21no—
210C22×D4×C61—21no—
211C22×D4×C61—21no—
212C22×D4×C61C2311yescharacteristic
213C22×D4×C61C2311yescharacteristic
214C22×D4×C61C2311yescharacteristic
215C23×C4×C61C2311yescharacteristic
216C2×SD16×C61C2311yescharacteristic
217C2×SD16×C61C2311yescharacteristic
218C2×D8×C61C2311yescharacteristic
219C2×D8×C61C2311yescharacteristic
220C2×D8×C61C2311yescharacteristic
221C2×D8×C61C2311yescharacteristic
222C2×D8×C61C2311yescharacteristic
223C2×D8×C61C2311yescharacteristic
224C2×M16×C61C2311yescharacteristic
225C2×M16×C61C2311yescharacteristic
226C2×M16×C61C2311yescharacteristic
227C2×M16×C61C2311yescharacteristic
228C2×M16×C61C2311yescharacteristic
229C2×M16×C61C2311yescharacteristic
230C22×C8×C61C2311yescharacteristic
231C22×C8×C61C2311yescharacteristic
232C4⋊Q8×C61—21no—
233C4⋊Q8×C61C2311yescharacteristic
234C4⋊Q8×C61C2311yescharacteristic
235C4⋊Q8×C61C2311yescharacteristic
236#127×C61—21no—
237#127×C61—21no—
238#127×C61—21no—
239#127×C61C2311yescharacteristic
240#126×C61—21no—
241#126×C61—21no—
242#126×C61—21no—
243#126×C61—21no—
244#126×C61—21no—
245#126×C61—21no—
246#126×C61—21no—
247#125×C61—21no—
248#125×C61—21no—
249#125×C61C2311yescharacteristic
250#125×C61C2311yescharacteristic
251#125×C61C2311yescharacteristic
252#124×C61—21no—
253#124×C61—21no—
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×C61—21no—
261#124×C61C2311yescharacteristic
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—
278#123×C61—21no—
279#123×C61—21no—
280#123×C61D411yescharacteristic
281#123×C61D411yescharacteristic
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×C61D411yescharacteristic
290C22⋊Q8×C61D411yescharacteristic
291C22⋊Q8×C61C2311yescharacteristic
292C22⋊Q8×C61C2311yescharacteristic
293C22⋊Q8×C61C2311yescharacteristic
294#121×C61—21no—
295#121×C61—21no—
296#121×C61—21no—
297#121×C61—21no—
298#121×C61—21no—
299#121×C61—21no—
300#121×C61—21no—
301#121×C61—21no—
302#121×C61—21no—
303#121×C61—21no—
304#121×C61—21no—
305#121×C61—21no—
306#121×C61—21no—
307#121×C61—21no—
308#121×C61—21no—
309#121×C61—21no—
310#121×C61—21no—
311#121×C61—21no—
312#121×C61—21no—
313#121×C61—21no—
314#121×C61—21no—
315#121×C61—21no—
316#121×C61D411yescharacteristic
317#121×C61D411yescharacteristic
318#121×C61C2311yescharacteristic
319#121×C61C2311yescharacteristic
320#121×C61C2311yescharacteristic
321#121×C61C2311yescharacteristic
322#121×C61C2311yescharacteristic
323#121×C61C2311yescharacteristic
324#121×C61C2311yescharacteristic
325#121×C61C2311yescharacteristic
326#121×C61C2311yescharacteristic
327#121×C61C2311yescharacteristic
328#121×C61C2311yescharacteristic
329#121×C61C2311yescharacteristic
330#121×C61C2311yescharacteristic
331#121×C61C2311yescharacteristic
332#121×C61C2311yescharacteristic
333#121×C61C2311yescharacteristic
334#121×C61C2311yescharacteristic
335#120×C61—21no—
336#120×C61—21no—
337#120×C61—21no—
338#120×C61—21no—
339#120×C61—21no—
340#120×C61—21no—
341#120×C61—21no—
342#120×C61—21no—
343#120×C61—21no—
344#120×C61D411yescharacteristic
345#120×C61D411yescharacteristic
346C4×Q8×C61—21no—
347C4×Q8×C61C2311yescharacteristic
348C4×D4×C61—21no—
349C4×D4×C61—21no—
350C4×D4×C61—21no—
351C4×D4×C61—21no—
352C4×D4×C61—21no—
353C4×D4×C61—21no—
354C4×D4×C61—21no—
355C4×D4×C61—21no—
356C4×D4×C61—21no—
357C4×D4×C61—21no—
358C4×D4×C61—21no—
359C4×D4×C61—21no—
360C4×D4×C61—21no—
361C4×D4×C61C2311yescharacteristic
362C4×D4×C61C2311yescharacteristic
363C4×D4×C61C2311yescharacteristic
364C4×D4×C61C2311yescharacteristic
365C4×D4×C61C2311yescharacteristic
366C4×D4×C61C2311yescharacteristic
367C4×D4×C61C2311yescharacteristic
368C4×D4×C61C2311yescharacteristic
369C4×D4×C61C2311yescharacteristic
370C4×D4×C61C2311yescharacteristic
371C4×D4×C61C2311yescharacteristic
372#117×C61—21no—
373#117×C61—21no—
374#117×C61—21no—
375#117×C61—21no—
376#117×C61—21no—
377#117×C61—21no—
378#117×C61C2311yescharacteristic
379#117×C61C2311yescharacteristic
380#117×C61C2311yescharacteristic
381#117×C61C2311yescharacteristic
382#117×C61C2311yescharacteristic
383#117×C61C2311yescharacteristic
384#117×C61C2311yescharacteristic
385#117×C61C2311yescharacteristic
386#117×C61C2311yescharacteristic
387C2×C4⋊C4×C61C2311yescharacteristic
388C2×C4⋊C4×C61C2311yescharacteristic
389C2×C4⋊C4×C61C2311yescharacteristic
390C2×C4⋊C4×C61C2311yescharacteristic
391C2×C4⋊C4×C61C2311yescharacteristic
392C2×C4⋊C4×C61C2311yescharacteristic
393C2×C4⋊C4×C61C2311yescharacteristic
394C2×C22⋊C4×C61—21no—
395C2×C22⋊C4×C61—21no—
396C2×C22⋊C4×C61—21no—
397C2×C22⋊C4×C61—21no—
398C2×C22⋊C4×C61—21no—
399C2×C22⋊C4×C61—21no—
400C2×C22⋊C4×C61—21no—
401C2×C42×C61—21no—
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
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#102×C61C2311yescharacteristic
437#102×C61C2311yescharacteristic
438#102×C61C2311yescharacteristic
439#102×C61C2311yescharacteristic
440#102×C61C2311yescharacteristic
441#102×C61C2311yescharacteristic
442#102×C61C2311yescharacteristic
443#102×C61C2311yescharacteristic
444#102×C61C2311yescharacteristic
445#102×C61C2311yescharacteristic
446#102×C61C2311yescharacteristic
447#102×C61C2311yescharacteristic
448#102×C61C2311yescharacteristic
449#102×C61C2311yescharacteristic
450#102×C61C2311yescharacteristic
451#102×C61C2311yescharacteristic
452#102×C61C2311yescharacteristic
453#102×C61C2311yescharacteristic
454#102×C61C2311yescharacteristic
455#102×C61C2311yescharacteristic
456#102×C61C2311yescharacteristic
457#102×C61C2311yescharacteristic
458#102×C61C2311yescharacteristic
459#102×C61C2311yescharacteristic
460#102×C61C2311yescharacteristic
461#102×C61C2311yescharacteristic
462C22⋊C8×C61C2311yescharacteristic
463C22⋊C8×C61C2311yescharacteristic
464C22⋊C8×C61C2311yescharacteristic
465C22⋊C8×C61C2311yescharacteristic
466C22⋊C8×C61C2311yescharacteristic
467C22⋊C8×C61C2311yescharacteristic
468C22⋊C8×C61C2311yescharacteristic
469C22⋊C8×C61C2311yescharacteristic
470C22⋊C8×C61C2311yescharacteristic
471C22⋊C8×C61C2311yescharacteristic
472C22⋊C8×C61C2311yescharacteristic
473C22⋊C8×C61C2311yescharacteristic
474#97×C61C2311yescharacteristic
475#97×C61C2311yescharacteristic
476C4×C8×C61C2311yescharacteristic
477C4×C8×C61C2311yescharacteristic
478C24×C61—21no—
479C24×C61—21no—
480C24×C61—21no—
481C24×C61C2×D411yescharacteristic
482#41×C61—41no—
483#41×C61—41no—
484#41×C61—41no—
485#41×C61—41no—
486#41×C61—41no—
487#41×C61—41no—
488#41×C61—82no—
489#41×C61—82no—
490#41×C61—82no—
491C2×Q8×C61—21no—
492C2×Q8×C61—21no—
493C2×Q8×C61—21no—
494C2×Q8×C61C2×D411yescharacteristic
495C2×Q8×C61C2411yescharacteristic
496C2×D4×C61—21no—
497C2×D4×C61—21no—
498C2×D4×C61—21no—
499C2×D4×C61—21no—
500C2×D4×C61—21no—
501C2×D4×C61—21no—
502C2×D4×C61—21no—
503C2×D4×C61—21no—
504C2×D4×C61—21no—
505C2×D4×C61—21no—
506C2×D4×C61—21no—
507C2×D4×C61—21no—
508C2×D4×C61—21no—
509C2×D4×C61—21no—
510C2×D4×C61—21no—
511C2×D4×C61—21no—
512C2×D4×C61—21no—
513C2×D4×C61—21no—
514C2×D4×C61—21no—
515C2×D4×C61—21no—
516C2×D4×C61—21no—
517C2×D4×C61—21no—
518C2×D4×C61—21no—
519C2×D4×C61—21no—
520C2×D4×C61—41no—
521C2×D4×C61—41no—
522C2×D4×C61—41no—
523C2×D4×C61—41no—
524C2×D4×C61—41no—
525C2×D4×C61—41no—
526C2×D4×C61—82no—
527C2×D4×C61—82no—
528C2×D4×C61—82no—
529C2×D4×C61C2×D411yescharacteristic
530C2×D4×C61C2×D411yescharacteristic
531C2×D4×C61C2×D411yescharacteristic
532C2×D4×C61C2×D411yescharacteristic
533C2×D4×C61C2×D411yescharacteristic
534C2×D4×C61C2×D411yescharacteristic
535C2×D4×C61C2×D411yescharacteristic
536C2×D4×C61C2411yescharacteristic
537C2×D4×C61C2411yescharacteristic
538C2×D4×C61C2411yescharacteristic
539C2×D4×C61C2411yescharacteristic
540C2×D4×C61C2411yescharacteristic
541C22×C4×C61—21no—
542C22×C4×C61—21no—
543C22×C4×C61—21no—
544C22×C4×C61—21no—
545C22×C4×C61—21no—
546C22×C4×C61—21no—
547C22×C4×C61—21no—
548C22×C4×C61—21no—
549C22×C4×C61—21no—
550C22×C4×C61—21no—
551C22×C4×C61—21no—
552C22×C4×C61—21no—
553C22×C4×C61—21no—
554C22×C4×C61—21no—
555C22×C4×C61—21no—
556C22×C4×C61—21no—
557C22×C4×C61—41no—
558C22×C4×C61—41no—
559C22×C4×C61C2×D411yescharacteristic
560C22×C4×C61C2×D411yescharacteristic
561C22×C4×C61C2×D411yescharacteristic
562C22×C4×C61C2411yescharacteristic
563C22×C4×C61C2411yescharacteristic
564C22×C4×C61C2411yescharacteristic
565C22×C4×C61C2411yescharacteristic
566C22×C4×C61C2411yescharacteristic
567SD16×C61—41no—
568SD16×C61—41no—
569D8×C61—41no—
570D8×C61—41no—
571D8×C61—41no—
572D8×C61—41no—
573D8×C61—41no—
574D8×C61—41no—
575M16×C61—41no—
576M16×C61—41no—
577M16×C61—41no—
578M16×C61—41no—
579M16×C61—41no—
580M16×C61—41no—
581C2×C8×C61—41no—
582C2×C8×C61—41no—
583C2×C8×C61C2411yescharacteristic
584C2×C8×C61C2411yescharacteristic
585C2×C8×C61C2411yescharacteristic
586C2×C8×C61C2411yescharacteristic
587C2×C8×C61C2411yescharacteristic
588C2×C8×C61C2411yescharacteristic
589C2×C8×C61C2411yescharacteristic
590C2×C8×C61C2411yescharacteristic
591C4⋊C4×C61—21no—
592C4⋊C4×C61—21no—
593C4⋊C4×C61—21no—
594C4⋊C4×C61—21no—
595C4⋊C4×C61—21no—
596C4⋊C4×C61—21no—
597C4⋊C4×C61—21no—
598C4⋊C4×C61—21no—
599C4⋊C4×C61—21no—
600C4⋊C4×C61—21no—
601C4⋊C4×C61—21no—
602C4⋊C4×C61—21no—
603C4⋊C4×C61—21no—
604C4⋊C4×C61—21no—
605C4⋊C4×C61—21no—
606C4⋊C4×C61—21no—
607C4⋊C4×C61—21no—
608C4⋊C4×C61—21no—
609C4⋊C4×C61—21no—
610C4⋊C4×C61—21no—
611C4⋊C4×C61C2×D411yescharacteristic
612C4⋊C4×C61C2×D411yescharacteristic
613C4⋊C4×C61C2×D411yescharacteristic
614C4⋊C4×C61C2×D411yescharacteristic
615C4⋊C4×C61C2×D411yescharacteristic
616C4⋊C4×C61C2×D411yescharacteristic
617C4⋊C4×C61C2411yescharacteristic
618C4⋊C4×C61C2411yescharacteristic
619C4⋊C4×C61C2411yescharacteristic
620C4⋊C4×C61C2411yescharacteristic
621C4⋊C4×C61C2411yescharacteristic
622C4⋊C4×C61C2411yescharacteristic
623C4⋊C4×C61C2411yescharacteristic
624C4⋊C4×C61C2411yescharacteristic
625C4⋊C4×C61C2411yescharacteristic
626C4⋊C4×C61C2411yescharacteristic
627C22⋊C4×C61—21no—
628C22⋊C4×C61—21no—
629C22⋊C4×C61—21no—
630C22⋊C4×C61—21no—
631C22⋊C4×C61—21no—
632C22⋊C4×C61—21no—
633C22⋊C4×C61—21no—
634C22⋊C4×C61—21no—
635C22⋊C4×C61—21no—
636C22⋊C4×C61—21no—
637C22⋊C4×C61—21no—
638C22⋊C4×C61—21no—
639C22⋊C4×C61—21no—
640C22⋊C4×C61—21no—
641C22⋊C4×C61—21no—
642C22⋊C4×C61—21no—
643C22⋊C4×C61—21no—
644C22⋊C4×C61—21no—
645C22⋊C4×C61—21no—
646C22⋊C4×C61—21no—
647C22⋊C4×C61—21no—
648C22⋊C4×C61—21no—
649C22⋊C4×C61—21no—
650C22⋊C4×C61—21no—
651C22⋊C4×C61—21no—
652C22⋊C4×C61—21no—
653C22⋊C4×C61—21no—
654C22⋊C4×C61—21no—
655C22⋊C4×C61—21no—
656C22⋊C4×C61—21no—
657C22⋊C4×C61—21no—
658C22⋊C4×C61—21no—
659C22⋊C4×C61—21no—
660C22⋊C4×C61—21no—
661C22⋊C4×C61—21no—
662C22⋊C4×C61—21no—
663C22⋊C4×C61—21no—
664C22⋊C4×C61C2×D411yescharacteristic
665C22⋊C4×C61C2×D411yescharacteristic
666C22⋊C4×C61C2×D411yescharacteristic
667C22⋊C4×C61C2×D411yescharacteristic
668C22⋊C4×C61C2×D411yescharacteristic
669C22⋊C4×C61C2×D411yescharacteristic
670C22⋊C4×C61C2×D411yescharacteristic
671C22⋊C4×C61C2×D411yescharacteristic
672C22⋊C4×C61C2×D411yescharacteristic
673C22⋊C4×C61C2×D411yescharacteristic
674C42×C61—21no—
675C42×C61—21no—
676C42×C61—21no—
677C42×C61—21no—
678C42×C61—21no—
679C42×C61—21no—
680C42×C61—21no—
681C42×C61—21no—
682C42×C61—21no—
683C42×C61C2411yescharacteristic
684C42×C61C2411yescharacteristic
685C23×C61—21no—
686C23×C61—21no—
687C23×C61—21no—
688C23×C61—21no—
689C23×C61—21no—
690C23×C61—41no—
691C23×C61—41no—
692C23×C61—41no—
693C23×C61—42no—
694C23×C61—42no—
695C23×C61—81no—
696C23×C61—81no—
697C23×C61—81no—
698C23×C61—81no—
699C23×C61—81no—
700C23×C61—81no—
701C23×C61—81no—
702C23×C61C22×D411yescharacteristic
703C23×C61C22×D411yescharacteristic
704C23×C61C22×D411yescharacteristic
705C23×C61C22×D411yescharacteristic
706C23×C61C22×D411yescharacteristic
707Q8×C61—21no—
708Q8×C61—21no—
709Q8×C61—41no—
710Q8×C61—81no—
711Q8×C61—81no—
712Q8×C61—81no—
713D4×C61—21no—
714D4×C61—21no—
715D4×C61—21no—
716D4×C61—21no—
717D4×C61—21no—
718D4×C61—21no—
719D4×C61—21no—
720D4×C61—21no—
721D4×C61—21no—
722D4×C61—21no—
723D4×C61—41no—
724D4×C61—41no—
725D4×C61—41no—
726D4×C61—41no—
727D4×C61—41no—
728D4×C61—41no—
729D4×C61—41no—
730D4×C61—42no—
731D4×C61—42no—
732D4×C61—42no—
733D4×C61—42no—
734D4×C61—81no—
735D4×C61—81no—
736D4×C61—81no—
737D4×C61—81no—
738D4×C61—81no—
739D4×C61—81no—
740D4×C61—81no—
741D4×C61—81no—
742D4×C61—81no—
743D4×C61—81no—
744D4×C61—81no—
745D4×C61—81no—
746D4×C61—81no—
747D4×C61—81no—
748D4×C61—81no—
749D4×C61—81no—
750D4×C61—81no—
751D4×C61—81no—
752D4×C61—81no—
753D4×C61—81no—
754C2×C4×C61—21no—
755C2×C4×C61—21no—
756C2×C4×C61—21no—
757C2×C4×C61—21no—
758C2×C4×C61—21no—
759C2×C4×C61—21no—
760C2×C4×C61—21no—
761C2×C4×C61—21no—
762C2×C4×C61—21no—
763C2×C4×C61—21no—
764C2×C4×C61—21no—
765C2×C4×C61—21no—
766C2×C4×C61—21no—
767C2×C4×C61—21no—
768C2×C4×C61—21no—
769C2×C4×C61—21no—
770C2×C4×C61—21no—
771C2×C4×C61—21no—
772C2×C4×C61—21no—
773C2×C4×C61—21no—
774C2×C4×C61—21no—
775C2×C4×C61—41no—
776C2×C4×C61—41no—
777C2×C4×C61—41no—
778C2×C4×C61—42no—
779C2×C4×C61—42no—
780C2×C4×C61—81no—
781C2×C4×C61—81no—
782C2×C4×C61—81no—
783C2×C4×C61—81no—
784C2×C4×C61—81no—
785C2×C4×C61—81no—
786C2×C4×C61—81no—
787C2×C4×C61—81no—
788C2×C4×C61—81no—
789C2×C4×C61—81no—
790C2×C4×C61—81no—
791C2×C4×C61—81no—
792C2×C4×C61—81no—
793C2×C4×C61—81no—
794C2×C4×C61C22×D411yescharacteristic
795C2×C4×C61C22×D411yescharacteristic
796C2×C4×C61C22×D411yescharacteristic
797C2×C4×C61C22×D411yescharacteristic
798C2×C4×C61C22×D411yescharacteristic
799C2×C4×C61C22×D411yescharacteristic
800C2×C4×C61C22×D411yescharacteristic
801C2×C4×C61C22×D411yescharacteristic
802C2×C4×C61C22×D411yescharacteristic
803C2×C4×C61C2511yescharacteristic
804C8×C61—21no—
805C8×C61—21no—
806C8×C61—21no—
807C8×C61—21no—
808C8×C61—21no—
809C8×C61—21no—
810C8×C61—21no—
811C8×C61—21no—
812#61783C6111yesmaximal, characteristic, direct product factor, Sylow
813C22×C61—21no—
814C22×C61—21no—
815C22×C61—21no—
816C22×C61—21no—
817C22×C61—21no—
818C22×C61—21no—
819C22×C61—21no—
820C22×C61—21no—
821C22×C61—21no—
822C22×C61—21no—
823C22×C61—21no—
824C22×C61—21no—
825C22×C61—21no—
826C22×C61—21no—
827C22×C61—21no—
828C22×C61—41no—
829C22×C61—41no—
830C22×C61—41no—
831C22×C61—41no—
832C22×C61—41no—
833C22×C61—41no—
834C22×C61—41no—
835C22×C61—41no—
836C22×C61—41no—
837C22×C61—41no—
838C22×C61—41no—
839C22×C61—41no—
840C22×C61—41no—
841C22×C61—41no—
842C22×C61—41no—
843C22×C61—82no—
844C22×C61—162no—
845C22×C61—162no—
846C22×C61—162no—
847C22×C61C23×D411yescharacteristic
848C4×C61—21no—
849C4×C61—21no—
850C4×C61—21no—
851C4×C61—21no—
852C4×C61—21no—
853C4×C61—21no—
854C4×C61—21no—
855C4×C61—21no—
856C4×C61—21no—
857C4×C61—41no—
858C4×C61—41no—
859C4×C61—41no—
860C4×C61—41no—
861C4×C61—41no—
862C4×C61—41no—
863C4×C61—41no—
864C4×C61—41no—
865C4×C61—41no—
866C4×C61—41no—
867C4×C61—41no—
868C4×C61#58511yescharacteristic
869C4×C61#58511yescharacteristic
870#3542C2×C6111yescharacteristic, complemented
871#3494C2×C6111yescharacteristic, complemented
872#3355C2×C6111yescharacteristic, complemented
873#3354C2×C6111yescharacteristic, complemented
874#3354C2×C6111yescharacteristic, complemented
875#3351C2×C6111yescharacteristic, complemented
876#3348C2×C6111yescharacteristic, complemented
877#3347C2×C6111yescharacteristic, complemented
878#3345C2×C6111yescharacteristic, complemented
879#3345C2×C6111yescharacteristic, complemented
880#3332C2×C6111yescharacteristic, complemented
881#3325C2×C6111yescharacteristic, complemented
882#3322C2×C6111yescharacteristic, complemented
883#3322C2×C6111yescharacteristic, complemented
884#3319C2×C6111yescharacteristic, complemented
885#3318C2×C6111yescharacteristic, complemented
886#3309C2×C6111yescharacteristic, complemented
887#3306C2×C6111yescharacteristic, complemented
888#3244C2×C6111yescharacteristic, complemented
889#3241C2×C6111yescharacteristic, complemented
890#3199C2×C6111yescharacteristic, complemented
891#3198C2×C6111yescharacteristic, complemented
892#3194C2×C6111yescharacteristic, complemented
893#3192C2×C6111yescharacteristic, complemented
894#3122C2×C6111yescharacteristic, complemented
895#3118C2×C6111yescharacteristic, complemented
896#3099C2×C6111yescharacteristic, complemented
897#3096C2×C6111yescharacteristic, complemented
898#3094C2×C6111yescharacteristic, complemented
899#3093C2×C6111yescharacteristic, complemented
900#2978C2×C6111yescharacteristic, complemented
901C2×C61—41no—
902C2×C61—41no—
903C2×C61—41no—
904C2×C61—41no—
905C2×C61—41no—
906C2×C61—81no—
907C2×C61—81no—
908C2×C61—81no—
909C2×C61—81no—
910C2×C61—81no—
911C2×C61#348511yescharacteristic
912C2×C61#358511yescharacteristic
913C2×C61#358511yescharacteristic
914#562—21no—
915#560—21no—
916#555C22×C6111yescharacteristic
917#555C22×C6111yescharacteristic, complemented
918#555C22×C6111yescharacteristic, complemented
919#553C22×C6111yescharacteristic
920#553C22×C6111yescharacteristic, complemented
921#553C22×C6111yescharacteristic, complemented
922#553C22×C6111yescharacteristic, complemented
923#553C22×C6111yescharacteristic, complemented
924#552C22×C6111yescharacteristic, complemented
925#551—21no—
926#551—21no—
927#551—21no—
928#550C22×C6111yescharacteristic, complemented
929#547C22×C6111yescharacteristic, complemented
930#547C22×C6111yescharacteristic, complemented
931#547C22×C6111yescharacteristic, complemented
932#546—21no—
933#546—21no—
934#546—21no—
935#546C22×C6111yescharacteristic, complemented
936#546C22×C6111yescharacteristic, complemented
937D42C22×C6111yescharacteristic, complemented
938#544C22×C6111yescharacteristic, complemented
939#542—21no—
940#542C22×C6111yescharacteristic
941#540—21no—
942#540—21no—
943#540C22×C6111yescharacteristic
944#538—21no—
945#537C22×C6111yescharacteristic
946#535—21no—
947#535C22×C6111yescharacteristic
948#535C22×C6111yescharacteristic, complemented
949#534—21no—
950#532—21no—
951#529—21no—
952#525C22×C6111yescharacteristic
953#525C22×C6111yescharacteristic
954C2×#121C22×C6111yescharacteristic
955C2×#121C22×C6111yescharacteristic, complemented
956#520C22×C6111yescharacteristic, complemented
957#518C22×C6111yescharacteristic, complemented
958C2×#117C22×C6111yescharacteristic, complemented
959#501C22×C6111yescharacteristic, complemented
960#501C22×C6111yescharacteristic, complemented
961#499C22×C6111yescharacteristic, complemented
962#498C22×C6111yescharacteristic, complemented
963#490C22×C6111yescharacteristic, complemented
964#489C22×C6111yescharacteristic, complemented
965#488C22×C6111yescharacteristic, complemented
966#486C22×C6111yescharacteristic, complemented
967#485C22×C6111yescharacteristic, complemented
968#485C22×C6111yescharacteristic, complemented
969#485C22×C6111yescharacteristic, complemented
970#485C22×C6111yescharacteristic, complemented
971#485C22×C6111yescharacteristic, complemented
972#483C22×C6111yescharacteristic, complemented
973#483C22×C6111yescharacteristic, complemented
974#482C22×C6111yescharacteristic
975#482C22×C6111yescharacteristic
976#482C22×C6111yescharacteristic, complemented
977#482C22×C6111yescharacteristic, complemented
978#482C22×C6111yescharacteristic, complemented
979#482C22×C6111yescharacteristic, complemented
980#482C22×C6111yescharacteristic, complemented
981#482C22×C6111yescharacteristic, complemented
982#482C22×C6111yescharacteristic, complemented
983#482C22×C6111yescharacteristic, complemented
984#482C22×C6111yescharacteristic, complemented
985#482C22×C6111yescharacteristic, complemented
986#482C22×C6111yescharacteristic, complemented
987#482C22×C6111yescharacteristic, complemented
988#482C22×C6111yescharacteristic, complemented
989#481C22×C6111yescharacteristic
990#481C22×C6111yescharacteristic, complemented
991#481C22×C6111yescharacteristic, complemented
992#481C22×C6111yescharacteristic, complemented
993#481C22×C6111yescharacteristic, complemented
994#481C22×C6111yescharacteristic, complemented
995#481C22×C6111yescharacteristic, complemented
996#481C22×C6111yescharacteristic, complemented
997#481C22×C6111yescharacteristic, complemented
998#480C22×C6111yescharacteristic, complemented
999#480C22×C6111yescharacteristic, complemented
1000#480C22×C6111yescharacteristic, complemented
1001#480C22×C6111yescharacteristic, complemented
1002#480C22×C6111yescharacteristic, complemented
1003#479C22×C6111yescharacteristic, complemented
1004#478C22×C6111yescharacteristic, complemented
1005#478C22×C6111yescharacteristic, complemented
1006#478C22×C6111yescharacteristic, complemented
1007#478C22×C6111yescharacteristic, complemented
1008#478C22×C6111yescharacteristic, complemented
1009#476C22×C6111yescharacteristic, complemented
1010#476C22×C6111yescharacteristic, complemented
1011#476C22×C6111yescharacteristic, complemented
1012#475C22×C6111yescharacteristic, complemented
1013#474C22×C6111yescharacteristic, complemented
1014#474C22×C6111yescharacteristic, complemented
1015#469C22×C6111yescharacteristic
1016#469C22×C6111yescharacteristic
1017#469C22×C6111yescharacteristic
1018#469C22×C6111yescharacteristic
1019#469C22×C6111yescharacteristic, complemented
1020#469C22×C6111yescharacteristic, complemented
1021#469C22×C6111yescharacteristic, complemented
1022#469C22×C6111yescharacteristic, complemented
1023#469C22×C6111yescharacteristic, complemented
1024#468C22×C6111yescharacteristic, complemented
1025#468C22×C6111yescharacteristic, complemented
1026#468C22×C6111yescharacteristic, complemented
1027#466C22×C6111yescharacteristic, complemented
1028#466C22×C6111yescharacteristic, complemented
1029#466C22×C6111yescharacteristic, complemented
1030#465C22×C6111yescharacteristic, complemented
1031#463C22×C6111yescharacteristic, complemented
1032#463C22×C6111yescharacteristic, complemented
1033#459C22×C6111yescharacteristic, complemented
1034#459C22×C6111yescharacteristic, complemented
1035#450C22×C6111yescharacteristic, complemented
1036#449C22×C6111yescharacteristic, complemented
1037#449C22×C6111yescharacteristic, complemented
1038#449C22×C6111yescharacteristic, complemented
1039#449C22×C6111yescharacteristic, complemented
1040#447C22×C6111yescharacteristic
1041#447C22×C6111yescharacteristic
1042#447C22×C6111yescharacteristic
1043#447C22×C6111yescharacteristic, complemented
1044#447C22×C6111yescharacteristic, complemented
1045#447C22×C6111yescharacteristic, complemented
1046#447C22×C6111yescharacteristic, complemented
1047#442C22×C6111yescharacteristic, complemented
1048#442C22×C6111yescharacteristic, complemented
1049#442C22×C6111yescharacteristic, complemented
1050#440C22×C6111yescharacteristic, complemented
1051C4×SD16C22×C6111yescharacteristic, complemented
1052C4×D8C22×C6111yescharacteristic, complemented
1053C4×D8C22×C6111yescharacteristic, complemented
1054C4×D8C22×C6111yescharacteristic, complemented
1055#436C22×C6111yescharacteristic, complemented
1056#436C22×C6111yescharacteristic, complemented
1057#436C22×C6111yescharacteristic, complemented
1058#436C22×C6111yescharacteristic, complemented
1059#435C22×C6111yescharacteristic, complemented
1060#435C22×C6111yescharacteristic, complemented
1061#435C22×C6111yescharacteristic, complemented
1062#435C22×C6111yescharacteristic, complemented
1063#433C22×C6111yescharacteristic, complemented
1064#433C22×C6111yescharacteristic, complemented
1065#428C22×C6111yescharacteristic, complemented
1066#428C22×C6111yescharacteristic, complemented
1067#428C22×C6111yescharacteristic, complemented
1068#428C22×C6111yescharacteristic, complemented
1069#428C22×C6111yescharacteristic, complemented
1070#428C22×C6111yescharacteristic, complemented
1071#427C22×C6111yescharacteristic, complemented
1072C2×#106C22×C6111yescharacteristic, complemented
1073#418C22×C6111yescharacteristic, complemented
1074#418C22×C6111yescharacteristic, complemented
1075#418C22×C6111yescharacteristic, complemented
1076#417C22×C6111yescharacteristic, complemented
1077#417C22×C6111yescharacteristic, complemented
1078#417C22×C6111yescharacteristic, complemented
1079#416C22×C6111yescharacteristic, complemented
1080C2×#102C22×C6111yescharacteristic, complemented
1081#408C22×C6111yescharacteristic, complemented
1082#408C22×C6111yescharacteristic, complemented
1083#407C22×C6111yescharacteristic, complemented
1084#407C22×C6111yescharacteristic, complemented
1085C61#6178311yescharacteristic, direct product factor, Sylow
1086C2×#41—21no—
1087C2×#41—21no—
1088C2×#41—21no—
1089C2×#41C23×C6111yescharacteristic
1090C2×#41C23×C6111yescharacteristic
1091C2×#41C23×C6111yescharacteristic
1092C22×D4—21no—
1093C22×D4—21no—
1094C22×D4—21no—
1095C22×D4C23×C6111yescharacteristic
1096C22×D4C23×C6111yescharacteristic
1097C22×D4C23×C6111yescharacteristic
1098C23×C4C23×C6111yescharacteristic
1099C2×SD16C23×C6111yescharacteristic
1100C2×SD16C23×C6111yescharacteristic
1101C2×D8C23×C6111yescharacteristic
1102C2×D8C23×C6111yescharacteristic
1103C2×D8C23×C6111yescharacteristic
1104C2×D8C23×C6111yescharacteristic
1105C2×D8C23×C6111yescharacteristic
1106C2×D8C23×C6111yescharacteristic
1107C2×M16C23×C6111yescharacteristic
1108C2×M16C23×C6111yescharacteristic
1109C2×M16C23×C6111yescharacteristic
1110C2×M16C23×C6111yescharacteristic
1111C2×M16C23×C6111yescharacteristic
1112C2×M16C23×C6111yescharacteristic
1113C22×C8C23×C6111yescharacteristic
1114C22×C8C23×C6111yescharacteristic
1115C4⋊Q8—21no—
1116C4⋊Q8C23×C6111yescharacteristic
1117C4⋊Q8C23×C6111yescharacteristic
1118C4⋊Q8C23×C6111yescharacteristic
1119#127—21no—
1120#127—21no—
1121#127—21no—
1122#127C23×C6111yescharacteristic
1123#126—21no—
1124#126—21no—
1125#126—21no—
1126#126—21no—
1127#126—21no—
1128#126—21no—
1129#126—21no—
1130#125—21no—
1131#125—21no—
1132#125C23×C6111yescharacteristic
1133#125C23×C6111yescharacteristic
1134#125C23×C6111yescharacteristic
1135#124—21no—
1136#124—21no—
1137#124—21no—
1138#124—21no—
1139#124—21no—
1140#124—21no—
1141#124—21no—
1142#124—21no—
1143#124—21no—
1144#124C23×C6111yescharacteristic
1145#123—21no—
1146#123—21no—
1147#123—21no—
1148#123—21no—
1149#123—21no—
1150#123—21no—
1151#123—21no—
1152#123—21no—
1153#123—21no—
1154#123—21no—
1155#123—21no—
1156#123—21no—
1157#123—21no—
1158#123—21no—
1159#123—21no—
1160#123—21no—
1161#123—21no—
1162#123—21no—
1163#123D4×C6111yescharacteristic
1164#123D4×C6111yescharacteristic
1165C22⋊Q8—21no—
1166C22⋊Q8—21no—
1167C22⋊Q8—21no—
1168C22⋊Q8—21no—
1169C22⋊Q8—21no—
1170C22⋊Q8—21no—
1171C22⋊Q8—21no—
1172C22⋊Q8D4×C6111yescharacteristic
1173C22⋊Q8D4×C6111yescharacteristic
1174C22⋊Q8C23×C6111yescharacteristic
1175C22⋊Q8C23×C6111yescharacteristic
1176C22⋊Q8C23×C6111yescharacteristic
1177#121—21no—
1178#121—21no—
1179#121—21no—
1180#121—21no—
1181#121—21no—
1182#121—21no—
1183#121—21no—
1184#121—21no—
1185#121—21no—
1186#121—21no—
1187#121—21no—
1188#121—21no—
1189#121—21no—
1190#121—21no—
1191#121—21no—
1192#121—21no—
1193#121—21no—
1194#121—21no—
1195#121—21no—
1196#121—21no—
1197#121—21no—
1198#121—21no—
1199#121D4×C6111yescharacteristic
1200#121D4×C6111yescharacteristic
1201#121C23×C6111yescharacteristic
1202#121C23×C6111yescharacteristic
1203#121C23×C6111yescharacteristic
1204#121C23×C6111yescharacteristic
1205#121C23×C6111yescharacteristic
1206#121C23×C6111yescharacteristic
1207#121C23×C6111yescharacteristic
1208#121C23×C6111yescharacteristic
1209#121C23×C6111yescharacteristic
1210#121C23×C6111yescharacteristic
1211#121C23×C6111yescharacteristic
1212#121C23×C6111yescharacteristic
1213#121C23×C6111yescharacteristic
1214#121C23×C6111yescharacteristic
1215#121C23×C6111yescharacteristic
1216#121C23×C6111yescharacteristic
1217#121C23×C6111yescharacteristic
1218#120—21no—
1219#120—21no—
1220#120—21no—
1221#120—21no—
1222#120—21no—
1223#120—21no—
1224#120—21no—
1225#120—21no—
1226#120—21no—
1227#120D4×C6111yescharacteristic
1228#120D4×C6111yescharacteristic
1229C4×Q8—21no—
1230C4×Q8C23×C6111yescharacteristic
1231C4×D4—21no—
1232C4×D4—21no—
1233C4×D4—21no—
1234C4×D4—21no—
1235C4×D4—21no—
1236C4×D4—21no—
1237C4×D4—21no—
1238C4×D4—21no—
1239C4×D4—21no—
1240C4×D4—21no—
1241C4×D4—21no—
1242C4×D4—21no—
1243C4×D4—21no—
1244C4×D4C23×C6111yescharacteristic
1245C4×D4C23×C6111yescharacteristic
1246C4×D4C23×C6111yescharacteristic
1247C4×D4C23×C6111yescharacteristic
1248C4×D4C23×C6111yescharacteristic
1249C4×D4C23×C6111yescharacteristic
1250C4×D4C23×C6111yescharacteristic
1251C4×D4C23×C6111yescharacteristic
1252C4×D4C23×C6111yescharacteristic
1253C4×D4C23×C6111yescharacteristic
1254C4×D4C23×C6111yescharacteristic
1255#117—21no—
1256#117—21no—
1257#117—21no—
1258#117—21no—
1259#117—21no—
1260#117—21no—
1261#117C23×C6111yescharacteristic
1262#117C23×C6111yescharacteristic
1263#117C23×C6111yescharacteristic
1264#117C23×C6111yescharacteristic
1265#117C23×C6111yescharacteristic
1266#117C23×C6111yescharacteristic
1267#117C23×C6111yescharacteristic
1268#117C23×C6111yescharacteristic
1269#117C23×C6111yescharacteristic
1270C2×C4⋊C4C23×C6111yescharacteristic
1271C2×C4⋊C4C23×C6111yescharacteristic
1272C2×C4⋊C4C23×C6111yescharacteristic
1273C2×C4⋊C4C23×C6111yescharacteristic
1274C2×C4⋊C4C23×C6111yescharacteristic
1275C2×C4⋊C4C23×C6111yescharacteristic
1276C2×C4⋊C4C23×C6111yescharacteristic
1277C2×C22⋊C4—21no—
1278C2×C22⋊C4—21no—
1279C2×C22⋊C4—21no—
1280C2×C22⋊C4—21no—
1281C2×C22⋊C4—21no—
1282C2×C22⋊C4—21no—
1283C2×C22⋊C4—21no—
1284C2×C42—21no—
1285#107C23×C6111yescharacteristic
1286#107C23×C6111yescharacteristic
1287#107C23×C6111yescharacteristic
1288#107C23×C6111yescharacteristic
1289#107C23×C6111yescharacteristic
1290#107C23×C6111yescharacteristic
1291#107C23×C6111yescharacteristic
1292#107C23×C6111yescharacteristic
1293#107C23×C6111yescharacteristic
1294#107C23×C6111yescharacteristic
1295#106C23×C6111yescharacteristic
1296#106C23×C6111yescharacteristic
1297#106C23×C6111yescharacteristic
1298#106C23×C6111yescharacteristic
1299#106C23×C6111yescharacteristic
1300#106C23×C6111yescharacteristic
1301#106C23×C6111yescharacteristic
1302#106C23×C6111yescharacteristic
1303#106C23×C6111yescharacteristic
1304#106C23×C6111yescharacteristic
1305#106C23×C6111yescharacteristic
1306#106C23×C6111yescharacteristic
1307#106C23×C6111yescharacteristic
1308#106C23×C6111yescharacteristic
1309C4⋊C8C23×C6111yescharacteristic
1310C4⋊C8C23×C6111yescharacteristic
1311C4⋊C8C23×C6111yescharacteristic
1312C4⋊C8C23×C6111yescharacteristic
1313#103C23×C6111yescharacteristic
1314#103C23×C6111yescharacteristic
1315#103C23×C6111yescharacteristic
1316#103C23×C6111yescharacteristic
1317#103C23×C6111yescharacteristic
1318#103C23×C6111yescharacteristic
1319#102C23×C6111yescharacteristic
1320#102C23×C6111yescharacteristic
1321#102C23×C6111yescharacteristic
1322#102C23×C6111yescharacteristic
1323#102C23×C6111yescharacteristic
1324#102C23×C6111yescharacteristic
1325#102C23×C6111yescharacteristic
1326#102C23×C6111yescharacteristic
1327#102C23×C6111yescharacteristic
1328#102C23×C6111yescharacteristic
1329#102C23×C6111yescharacteristic
1330#102C23×C6111yescharacteristic
1331#102C23×C6111yescharacteristic
1332#102C23×C6111yescharacteristic
1333#102C23×C6111yescharacteristic
1334#102C23×C6111yescharacteristic
1335#102C23×C6111yescharacteristic
1336#102C23×C6111yescharacteristic
1337#102C23×C6111yescharacteristic
1338#102C23×C6111yescharacteristic
1339#102C23×C6111yescharacteristic
1340#102C23×C6111yescharacteristic
1341#102C23×C6111yescharacteristic
1342#102C23×C6111yescharacteristic
1343#102C23×C6111yescharacteristic
1344#102C23×C6111yescharacteristic
1345C22⋊C8C23×C6111yescharacteristic
1346C22⋊C8C23×C6111yescharacteristic
1347C22⋊C8C23×C6111yescharacteristic
1348C22⋊C8C23×C6111yescharacteristic
1349C22⋊C8C23×C6111yescharacteristic
1350C22⋊C8C23×C6111yescharacteristic
1351C22⋊C8C23×C6111yescharacteristic
1352C22⋊C8C23×C6111yescharacteristic
1353C22⋊C8C23×C6111yescharacteristic
1354C22⋊C8C23×C6111yescharacteristic
1355C22⋊C8C23×C6111yescharacteristic
1356C22⋊C8C23×C6111yescharacteristic
1357#97C23×C6111yescharacteristic
1358#97C23×C6111yescharacteristic
1359C4×C8C23×C6111yescharacteristic
1360C4×C8C23×C6111yescharacteristic
1361C24—21no—
1362C24—21no—
1363C24—21no—
1364C24C2×D4×C6111yescharacteristic
1365#41—41no—
1366#41—41no—
1367#41—41no—
1368#41—41no—
1369#41—41no—
1370#41—41no—
1371#41—82no—
1372#41—82no—
1373#41—82no—
1374C2×Q8—21no—
1375C2×Q8—21no—
1376C2×Q8—21no—
1377C2×Q8C2×D4×C6111yescharacteristic
1378C2×Q8C24×C6111yescharacteristic
1379C2×D4—21no—
1380C2×D4—21no—
1381C2×D4—21no—
1382C2×D4—21no—
1383C2×D4—21no—
1384C2×D4—21no—
1385C2×D4—21no—
1386C2×D4—21no—
1387C2×D4—21no—
1388C2×D4—21no—
1389C2×D4—21no—
1390C2×D4—21no—
1391C2×D4—21no—
1392C2×D4—21no—
1393C2×D4—21no—
1394C2×D4—21no—
1395C2×D4—21no—
1396C2×D4—21no—
1397C2×D4—21no—
1398C2×D4—21no—
1399C2×D4—21no—
1400C2×D4—21no—
1401C2×D4—21no—
1402C2×D4—21no—
1403C2×D4—41no—
1404C2×D4—41no—
1405C2×D4—41no—
1406C2×D4—41no—
1407C2×D4—41no—
1408C2×D4—41no—
1409C2×D4—82no—
1410C2×D4—82no—
1411C2×D4—82no—
1412C2×D4C2×D4×C6111yescharacteristic
1413C2×D4C2×D4×C6111yescharacteristic
1414C2×D4C2×D4×C6111yescharacteristic
1415C2×D4C2×D4×C6111yescharacteristic
1416C2×D4C2×D4×C6111yescharacteristic
1417C2×D4C2×D4×C6111yescharacteristic
1418C2×D4C2×D4×C6111yescharacteristic
1419C2×D4C24×C6111yescharacteristic
1420C2×D4C24×C6111yescharacteristic
1421C2×D4C24×C6111yescharacteristic
1422C2×D4C24×C6111yescharacteristic
1423C2×D4C24×C6111yescharacteristic
1424C22×C4—21no—
1425C22×C4—21no—
1426C22×C4—21no—
1427C22×C4—21no—
1428C22×C4—21no—
1429C22×C4—21no—
1430C22×C4—21no—
1431C22×C4—21no—
1432C22×C4—21no—
1433C22×C4—21no—
1434C22×C4—21no—
1435C22×C4—21no—
1436C22×C4—21no—
1437C22×C4—21no—
1438C22×C4—21no—
1439C22×C4—21no—
1440C22×C4—41no—
1441C22×C4—41no—
1442C22×C4C2×D4×C6111yescharacteristic
1443C22×C4C2×D4×C6111yescharacteristic
1444C22×C4C2×D4×C6111yescharacteristic
1445C22×C4C24×C6111yescharacteristic
1446C22×C4C24×C6111yescharacteristic
1447C22×C4C24×C6111yescharacteristic
1448C22×C4C24×C6111yescharacteristic
1449C22×C4C24×C6111yescharacteristic
1450SD16—41no—
1451SD16—41no—
1452D8—41no—
1453D8—41no—
1454D8—41no—
1455D8—41no—
1456D8—41no—
1457D8—41no—
1458M16—41no—
1459M16—41no—
1460M16—41no—
1461M16—41no—
1462M16—41no—
1463M16—41no—
1464C2×C8—41no—
1465C2×C8—41no—
1466C2×C8C24×C6111yescharacteristic
1467C2×C8C24×C6111yescharacteristic
1468C2×C8C24×C6111yescharacteristic
1469C2×C8C24×C6111yescharacteristic
1470C2×C8C24×C6111yescharacteristic
1471C2×C8C24×C6111yescharacteristic
1472C2×C8C24×C6111yescharacteristic
1473C2×C8C24×C6111yescharacteristic
1474C4⋊C4—21no—
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—21no—
1480C4⋊C4—21no—
1481C4⋊C4—21no—
1482C4⋊C4—21no—
1483C4⋊C4—21no—
1484C4⋊C4—21no—
1485C4⋊C4—21no—
1486C4⋊C4—21no—
1487C4⋊C4—21no—
1488C4⋊C4—21no—
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—21no—
1492C4⋊C4—21no—
1493C4⋊C4—21no—
1494C4⋊C4C2×D4×C6111yescharacteristic
1495C4⋊C4C2×D4×C6111yescharacteristic
1496C4⋊C4C2×D4×C6111yescharacteristic
1497C4⋊C4C2×D4×C6111yescharacteristic
1498C4⋊C4C2×D4×C6111yescharacteristic
1499C4⋊C4C2×D4×C6111yescharacteristic
1500C4⋊C4C24×C6111yescharacteristic
1501C4⋊C4C24×C6111yescharacteristic
1502C4⋊C4C24×C6111yescharacteristic
1503C4⋊C4C24×C6111yescharacteristic
1504C4⋊C4C24×C6111yescharacteristic
1505C4⋊C4C24×C6111yescharacteristic
1506C4⋊C4C24×C6111yescharacteristic
1507C4⋊C4C24×C6111yescharacteristic
1508C4⋊C4C24×C6111yescharacteristic
1509C4⋊C4C24×C6111yescharacteristic
1510C22⋊C4—21no—
1511C22⋊C4—21no—
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—21no—
1519C22⋊C4—21no—
1520C22⋊C4—21no—
1521C22⋊C4—21no—
1522C22⋊C4—21no—
1523C22⋊C4—21no—
1524C22⋊C4—21no—
1525C22⋊C4—21no—
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—21no—
1534C22⋊C4—21no—
1535C22⋊C4—21no—
1536C22⋊C4—21no—
1537C22⋊C4—21no—
1538C22⋊C4—21no—
1539C22⋊C4—21no—
1540C22⋊C4—21no—
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4C2×D4×C6111yescharacteristic
1548C22⋊C4C2×D4×C6111yescharacteristic
1549C22⋊C4C2×D4×C6111yescharacteristic
1550C22⋊C4C2×D4×C6111yescharacteristic
1551C22⋊C4C2×D4×C6111yescharacteristic
1552C22⋊C4C2×D4×C6111yescharacteristic
1553C22⋊C4C2×D4×C6111yescharacteristic
1554C22⋊C4C2×D4×C6111yescharacteristic
1555C22⋊C4C2×D4×C6111yescharacteristic
1556C22⋊C4C2×D4×C6111yescharacteristic
1557C42—21no—
1558C42—21no—
1559C42—21no—
1560C42—21no—
1561C42—21no—
1562C42—21no—
1563C42—21no—
1564C42—21no—
1565C42—21no—
1566C42C24×C6111yescharacteristic
1567C42C24×C6111yescharacteristic
1568C23—21no—
1569C23—21no—
1570C23—21no—
1571C23—21no—
1572C23—21no—
1573C23—41no—
1574C23—41no—
1575C23—41no—
1576C23—42no—
1577C23—42no—
1578C23—81no—
1579C23—81no—
1580C23—81no—
1581C23—81no—
1582C23—81no—
1583C23—81no—
1584C23—81no—
1585C23C22×D4×C6111yescharacteristic
1586C23C22×D4×C6111yescharacteristic
1587C23C22×D4×C6111yescharacteristic
1588C23C22×D4×C6111yescharacteristic
1589C23C22×D4×C6111yescharacteristic
1590Q8—21no—
1591Q8—21no—
1592Q8—41no—
1593Q8—81no—
1594Q8—81no—
1595Q8—81no—
1596D4—21no—
1597D4—21no—
1598D4—21no—
1599D4—21no—
1600D4—21no—
1601D4—21no—
1602D4—21no—
1603D4—21no—
1604D4—21no—
1605D4—21no—
1606D4—41no—
1607D4—41no—
1608D4—41no—
1609D4—41no—
1610D4—41no—
1611D4—41no—
1612D4—41no—
1613D4—42no—
1614D4—42no—
1615D4—42no—
1616D4—42no—
1617D4—81no—
1618D4—81no—
1619D4—81no—
1620D4—81no—
1621D4—81no—
1622D4—81no—
1623D4—81no—
1624D4—81no—
1625D4—81no—
1626D4—81no—
1627D4—81no—
1628D4—81no—
1629D4—81no—
1630D4—81no—
1631D4—81no—
1632D4—81no—
1633D4—81no—
1634D4—81no—
1635D4—81no—
1636D4—81no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—41no—
1659C2×C4—41no—
1660C2×C4—41no—
1661C2×C4—42no—
1662C2×C4—42no—
1663C2×C4—81no—
1664C2×C4—81no—
1665C2×C4—81no—
1666C2×C4—81no—
1667C2×C4—81no—
1668C2×C4—81no—
1669C2×C4—81no—
1670C2×C4—81no—
1671C2×C4—81no—
1672C2×C4—81no—
1673C2×C4—81no—
1674C2×C4—81no—
1675C2×C4—81no—
1676C2×C4—81no—
1677C2×C4C22×D4×C6111yescharacteristic
1678C2×C4C22×D4×C6111yescharacteristic
1679C2×C4C22×D4×C6111yescharacteristic
1680C2×C4C22×D4×C6111yescharacteristic
1681C2×C4C22×D4×C6111yescharacteristic
1682C2×C4C22×D4×C6111yescharacteristic
1683C2×C4C22×D4×C6111yescharacteristic
1684C2×C4C22×D4×C6111yescharacteristic
1685C2×C4C22×D4×C6111yescharacteristic
1686C2×C4C25×C6111yescharacteristic
1687C8—21no—
1688C8—21no—
1689C8—21no—
1690C8—21no—
1691C8—21no—
1692C8—21no—
1693C8—21no—
1694C8—21no—
1695C22—21no—
1696C22—21no—
1697C22—21no—
1698C22—21no—
1699C22—21no—
1700C22—21no—
1701C22—21no—
1702C22—21no—
1703C22—21no—
1704C22—21no—
1705C22—21no—
1706C22—21no—
1707C22—21no—
1708C22—21no—
1709C22—21no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—82no—
1726C22—162no—
1727C22—162no—
1728C22—162no—
1729C22C23×D4×C6111yescharacteristic
1730C4—21no—
1731C4—21no—
1732C4—21no—
1733C4—21no—
1734C4—21no—
1735C4—21no—
1736C4—21no—
1737C4—21no—
1738C4—21no—
1739C4—41no—
1740C4—41no—
1741C4—41no—
1742C4—41no—
1743C4—41no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—41no—
1748C4—41no—
1749C4—41no—
1750C4C61×#58511yescharacteristic
1751C4C61×#58511yescharacteristic
1752C2—41no—
1753C2—41no—
1754C2—41no—
1755C2—41no—
1756C2—41no—
1757C2—81no—
1758C2—81no—
1759C2—81no—
1760C2—81no—
1761C2—81no—
1762C2C61×#348511yescharacteristic
1763C2C61×#358511yescharacteristic
1764C2C61×#358511yescharacteristic
subgroupG/H
center, socleC22×C61C23×D4
commutator, Frattini, cosocleC2×C4C25×C61
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C61 ◁ C61×#525 ◁ G

Complements

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

NH ≅ G/Ntype
1. C61×#3542C2semidirect
2. C61×#3494C2semidirect
3. C61×#3355C2semidirect
4. C61×#3354C2semidirect
5. C61×#3354C2semidirect
6. C61×#3351C2semidirect
7. C61×#3348C2semidirect
8. C61×#3347C2semidirect
9. C61×#3345C2semidirect
10. C61×#3345C2semidirect
11. C61×#3332C2semidirect
12. C61×#3325C2semidirect
13. C61×#3322C2semidirect
14. C61×#3322C2semidirect
15. C61×#3319C2semidirect
16. C61×#3318C2semidirect
17. C61×#3309C2semidirect
18. C61×#3306C2semidirect
19. C61×#3244C2semidirect
20. C61×#3241C2semidirect
21. C61×#3199C2semidirect
22. C61×#3198C2semidirect
23. C61×#3194C2semidirect
24. C61×#3192C2semidirect
25. C61×#3122C2semidirect
26. C61×#3118C2semidirect
27. C61×#3099C2semidirect
28. C61×#3096C2semidirect
29. C61×#3094C2semidirect
30. C61×#3093C2semidirect
31. C61×#2978C2semidirect
35. C61×#555C22semidirect
36. C61×#555C22semidirect
38. C61×#553C22semidirect
39. C61×#553C22semidirect
40. C61×#553C22semidirect
41. C61×#553C22semidirect
42. C61×#552C22semidirect
46. C61×#550C22semidirect
47. C61×#547C22semidirect
48. C61×#547C22semidirect
49. C61×#547C22semidirect
53. C61×#546C22semidirect
54. C61×#546C22semidirect
55. D42×C61C22semidirect
56. C61×#544C22semidirect
66. C61×#535C22semidirect
73. C2×#121×C61C22semidirect
74. C61×#520C22semidirect
75. C61×#518C22semidirect
76. C2×#117×C61C22semidirect
77. C61×#501C22semidirect
78. C61×#501C22semidirect
79. C61×#499C22semidirect
80. C61×#498C22semidirect
81. C61×#490C22semidirect
82. C61×#489C22semidirect
83. C61×#488C22semidirect
84. C61×#486C22semidirect
85. C61×#485C22semidirect
86. C61×#485C22semidirect
87. C61×#485C22semidirect
88. C61×#485C22semidirect
89. C61×#485C22semidirect
90. C61×#483C22semidirect
91. C61×#483C22semidirect
94. C61×#482C22semidirect
95. C61×#482C22semidirect
96. C61×#482C22semidirect
97. C61×#482C22semidirect
98. C61×#482C22semidirect
99. C61×#482C22semidirect
100. C61×#482C22semidirect
101. C61×#482C22semidirect
102. C61×#482C22semidirect
103. C61×#482C22semidirect
104. C61×#482C22semidirect
105. C61×#482C22semidirect
106. C61×#482C22semidirect
108. C61×#481C22semidirect
109. C61×#481C22semidirect
110. C61×#481C22semidirect
111. C61×#481C22semidirect
112. C61×#481C22semidirect
113. C61×#481C22semidirect
114. C61×#481C22semidirect
115. C61×#481C22semidirect
116. C61×#480C22semidirect
117. C61×#480C22semidirect
118. C61×#480C22semidirect
119. C61×#480C22semidirect
120. C61×#480C22semidirect
121. C61×#479C22semidirect
122. C61×#478C22semidirect
123. C61×#478C22semidirect
124. C61×#478C22semidirect
125. C61×#478C22semidirect
126. C61×#478C22semidirect
127. C61×#476C22semidirect
128. C61×#476C22semidirect
129. C61×#476C22semidirect
130. C61×#475C22semidirect
131. C61×#474C22semidirect
132. C61×#474C22semidirect
137. C61×#469C22semidirect
138. C61×#469C22semidirect
139. C61×#469C22semidirect
140. C61×#469C22semidirect
141. C61×#469C22semidirect
142. C61×#468C22semidirect
143. C61×#468C22semidirect
144. C61×#468C22semidirect
145. C61×#466C22semidirect
146. C61×#466C22semidirect
147. C61×#466C22semidirect
148. C61×#465C22semidirect
149. C61×#463C22semidirect
150. C61×#463C22semidirect
151. C61×#459C22semidirect
152. C61×#459C22semidirect
153. C61×#450C22semidirect
154. C61×#449C22semidirect
155. C61×#449C22semidirect
156. C61×#449C22semidirect
157. C61×#449C22semidirect
161. C61×#447C22semidirect
162. C61×#447C22semidirect
163. C61×#447C22semidirect
164. C61×#447C22semidirect
165. C61×#442C22semidirect
166. C61×#442C22semidirect
167. C61×#442C22semidirect
168. C61×#440C22semidirect
169. C4×SD16×C61C22semidirect
170. C4×D8×C61C22semidirect
171. C4×D8×C61C22semidirect
172. C4×D8×C61C22semidirect
173. C61×#436C22semidirect
174. C61×#436C22semidirect
175. C61×#436C22semidirect
176. C61×#436C22semidirect
177. C61×#435C22semidirect
178. C61×#435C22semidirect
179. C61×#435C22semidirect
180. C61×#435C22semidirect
181. C61×#433C22semidirect
182. C61×#433C22semidirect
183. C61×#428C22semidirect
184. C61×#428C22semidirect
185. C61×#428C22semidirect
186. C61×#428C22semidirect
187. C61×#428C22semidirect
188. C61×#428C22semidirect
189. C61×#427C22semidirect
190. C2×#106×C61C22semidirect
191. C61×#418C22semidirect
192. C61×#418C22semidirect
193. C61×#418C22semidirect
194. C61×#417C22semidirect
195. C61×#417C22semidirect
196. C61×#417C22semidirect
197. C61×#416C22semidirect
198. C2×#102×C61C22semidirect
199. C61×#408C22semidirect
200. C61×#408C22semidirect
201. C61×#407C22semidirect
202. C61×#407C22semidirect
812. #61783C61direct (N × H)
870. #3542C2×C61semidirect
871. #3494C2×C61semidirect
872. #3355C2×C61semidirect
873. #3354C2×C61semidirect
874. #3354C2×C61semidirect
875. #3351C2×C61semidirect
876. #3348C2×C61semidirect
877. #3347C2×C61semidirect
878. #3345C2×C61semidirect
879. #3345C2×C61semidirect
880. #3332C2×C61semidirect
881. #3325C2×C61semidirect
882. #3322C2×C61semidirect
883. #3322C2×C61semidirect
884. #3319C2×C61semidirect
885. #3318C2×C61semidirect
886. #3309C2×C61semidirect
887. #3306C2×C61semidirect
888. #3244C2×C61semidirect
889. #3241C2×C61semidirect
890. #3199C2×C61semidirect
891. #3198C2×C61semidirect
892. #3194C2×C61semidirect
893. #3192C2×C61semidirect
894. #3122C2×C61semidirect
895. #3118C2×C61semidirect
896. #3099C2×C61semidirect
897. #3096C2×C61semidirect
898. #3094C2×C61semidirect
899. #3093C2×C61semidirect
900. #2978C2×C61semidirect
917. #555C22×C61semidirect
918. #555C22×C61semidirect
920. #553C22×C61semidirect
921. #553C22×C61semidirect
922. #553C22×C61semidirect
923. #553C22×C61semidirect
924. #552C22×C61semidirect
928. #550C22×C61semidirect
929. #547C22×C61semidirect
930. #547C22×C61semidirect
931. #547C22×C61semidirect
935. #546C22×C61semidirect
936. #546C22×C61semidirect
937. D42C22×C61semidirect
938. #544C22×C61semidirect
948. #535C22×C61semidirect
955. C2×#121C22×C61semidirect
956. #520C22×C61semidirect
957. #518C22×C61semidirect
958. C2×#117C22×C61semidirect
959. #501C22×C61semidirect
960. #501C22×C61semidirect
961. #499C22×C61semidirect
962. #498C22×C61semidirect
963. #490C22×C61semidirect
964. #489C22×C61semidirect
965. #488C22×C61semidirect
966. #486C22×C61semidirect
967. #485C22×C61semidirect
968. #485C22×C61semidirect
969. #485C22×C61semidirect
970. #485C22×C61semidirect
971. #485C22×C61semidirect
972. #483C22×C61semidirect
973. #483C22×C61semidirect
976. #482C22×C61semidirect
977. #482C22×C61semidirect
978. #482C22×C61semidirect
979. #482C22×C61semidirect
980. #482C22×C61semidirect
981. #482C22×C61semidirect
982. #482C22×C61semidirect
983. #482C22×C61semidirect
984. #482C22×C61semidirect
985. #482C22×C61semidirect
986. #482C22×C61semidirect
987. #482C22×C61semidirect
988. #482C22×C61semidirect
990. #481C22×C61semidirect
991. #481C22×C61semidirect
992. #481C22×C61semidirect
993. #481C22×C61semidirect
994. #481C22×C61semidirect
995. #481C22×C61semidirect
996. #481C22×C61semidirect
997. #481C22×C61semidirect
998. #480C22×C61semidirect
999. #480C22×C61semidirect
1000. #480C22×C61semidirect
1001. #480C22×C61semidirect
1002. #480C22×C61semidirect
1003. #479C22×C61semidirect
1004. #478C22×C61semidirect
1005. #478C22×C61semidirect
1006. #478C22×C61semidirect
1007. #478C22×C61semidirect
1008. #478C22×C61semidirect
1009. #476C22×C61semidirect
1010. #476C22×C61semidirect
1011. #476C22×C61semidirect
1012. #475C22×C61semidirect
1013. #474C22×C61semidirect
1014. #474C22×C61semidirect
1019. #469C22×C61semidirect
1020. #469C22×C61semidirect
1021. #469C22×C61semidirect
1022. #469C22×C61semidirect
1023. #469C22×C61semidirect
1024. #468C22×C61semidirect
1025. #468C22×C61semidirect
1026. #468C22×C61semidirect
1027. #466C22×C61semidirect
1028. #466C22×C61semidirect
1029. #466C22×C61semidirect
1030. #465C22×C61semidirect
1031. #463C22×C61semidirect
1032. #463C22×C61semidirect
1033. #459C22×C61semidirect
1034. #459C22×C61semidirect
1035. #450C22×C61semidirect
1036. #449C22×C61semidirect
1037. #449C22×C61semidirect
1038. #449C22×C61semidirect
1039. #449C22×C61semidirect
1043. #447C22×C61semidirect
1044. #447C22×C61semidirect
1045. #447C22×C61semidirect
1046. #447C22×C61semidirect
1047. #442C22×C61semidirect
1048. #442C22×C61semidirect
1049. #442C22×C61semidirect
1050. #440C22×C61semidirect
1051. C4×SD16C22×C61semidirect
1052. C4×D8C22×C61semidirect
1053. C4×D8C22×C61semidirect
1054. C4×D8C22×C61semidirect
1055. #436C22×C61semidirect
1056. #436C22×C61semidirect
1057. #436C22×C61semidirect
1058. #436C22×C61semidirect
1059. #435C22×C61semidirect
1060. #435C22×C61semidirect
1061. #435C22×C61semidirect
1062. #435C22×C61semidirect
1063. #433C22×C61semidirect
1064. #433C22×C61semidirect
1065. #428C22×C61semidirect
1066. #428C22×C61semidirect
1067. #428C22×C61semidirect
1068. #428C22×C61semidirect
1069. #428C22×C61semidirect
1070. #428C22×C61semidirect
1071. #427C22×C61semidirect
1072. C2×#106C22×C61semidirect
1073. #418C22×C61semidirect
1074. #418C22×C61semidirect
1075. #418C22×C61semidirect
1076. #417C22×C61semidirect
1077. #417C22×C61semidirect
1078. #417C22×C61semidirect
1079. #416C22×C61semidirect
1080. C2×#102C22×C61semidirect
1081. #408C22×C61semidirect
1082. #408C22×C61semidirect
1083. #407C22×C61semidirect
1084. #407C22×C61semidirect
1085. C61#61783direct (N × H)

Maximal subgroups

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

subgroupindex
C61×#35422
C61×#34942
C61×#33552
C61×#33542
C61×#33512
C61×#33482
C61×#33472
C61×#33452
C61×#33322
C61×#33252
C61×#33222
C61×#33192
C61×#33182
C61×#33092
C61×#33062
C61×#32442
C61×#32412
C61×#31992
C61×#31982
C61×#31942
C61×#31922
C61×#31222
C61×#31182
C61×#30992
C61×#30962
C61×#30942
C61×#30932
C61×#29782
#6178361