Finite Group Databasebeta

← C61×#61639 #29565072

Subgroups — C61×#61639 #29565072

Order 15616.

2174 conjugacy classes of subgroups.

The subgroup lattice has 1952 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C61×#3542C211yesmaximal, characteristic, complemented
2C61×#3488C211yesmaximal, characteristic, complemented
3C61×#3319C211yesmaximal, characteristic, complemented
4C61×#3310C211yesmaximal, characteristic, complemented
5C61×#3309C211yesmaximal, characteristic, complemented
6C61×#3308C211yesmaximal, characteristic, complemented
7C61×#3305C211yesmaximal, characteristic, complemented
8C61×#3300C211yesmaximal, characteristic, complemented
9C61×#3297C211yesmaximal, characteristic, complemented
10C61×#3294C211yesmaximal, characteristic, complemented
11C61×#3287C211yesmaximal, characteristic, complemented
12C61×#3282C211yesmaximal, characteristic, complemented
13C61×#3280C211yesmaximal, characteristic, complemented
14D4×D8×C61C211yesmaximal, characteristic, complemented
15C61×#3268C211yesmaximal, characteristic, complemented
16C61×#3268C211yesmaximal, characteristic, complemented
17C61×#3265C211yesmaximal, characteristic, complemented
18C61×#3264C211yesmaximal, characteristic, complemented
19C61×#3224C211yesmaximal, characteristic, complemented
20C61×#3220C211yesmaximal, characteristic, complemented
21C61×#3203C211yesmaximal, characteristic, complemented
22C61×#3198C211yesmaximal, characteristic, complemented
23C61×#3188C211yesmaximal, characteristic, complemented
24C61×#3186C211yesmaximal, characteristic, complemented
25C61×#3124C211yesmaximal, characteristic, complemented
26C61×#3119C211yesmaximal, characteristic, complemented
27C61×#3012C211yesmaximal, characteristic, complemented
28C61×#3008C211yesmaximal, characteristic, complemented
29C61×#3002C211yesmaximal, characteristic, complemented
30C2×C61×#449C211yesmaximal, characteristic, complemented
31C61×#2977C211yesmaximal, characteristic, complemented
32C2×H(5,𝔽2)×C61C2211yescharacteristic, complemented
33C22×#41×C61C2211yescharacteristic, complemented
34C2×AGL(1,ℤ/8)×C61C2211yescharacteristic, complemented
35C2×AGL(1,ℤ/8)×C61C2211yescharacteristic, complemented
36C2×#135×C61C2211yescharacteristic, complemented
37C2×#135×C61C2211yescharacteristic, complemented
38C2×#135×C61C2211yescharacteristic, complemented
39C22×SD16×C61C2211yescharacteristic, complemented
40C22×D8×C61C2211yescharacteristic, complemented
41C22×D8×C61C2211yescharacteristic, complemented
42C61×#562—21no—
43C61×#560—21no—
44C61×#555C2211yescharacteristic, complemented
45C61×#553C2211yescharacteristic, complemented
46C61×#552C2211yescharacteristic, complemented
47C61×#551—21no—
48C61×#550C2211yescharacteristic, complemented
49C61×#550C2211yescharacteristic, complemented
50C61×#550C2211yescharacteristic, complemented
51C61×#548C2211yescharacteristic
52C61×#548C2211yescharacteristic, complemented
53C61×#547C2211yescharacteristic, complemented
54C61×#546—21no—
55C61×#546—21no—
56C61×#546—21no—
57C61×#546C2211yescharacteristic, complemented
58C61×#546C2211yescharacteristic, complemented
59C61×#546C2211yescharacteristic, complemented
60C61×#546C2211yescharacteristic, complemented
61D42×C61—21no—
62D42×C61—21no—
63D42×C61C2211yescharacteristic
64D42×C61C2211yescharacteristic, complemented
65D42×C61C2211yescharacteristic, complemented
66C61×#542C2211yescharacteristic, complemented
67C61×#540—21no—
68C61×#540C2211yescharacteristic, complemented
69C61×#538—21no—
70C61×#537—21no—
71C61×#537C2211yescharacteristic, complemented
72C61×#537C2211yescharacteristic, complemented
73C61×#535—21no—
74C61×#535—21no—
75C61×#535C2211yescharacteristic, complemented
76C61×#535C2211yescharacteristic, complemented
77C61×#534—21no—
78C61×#525—21no—
79C61×#525C2211yescharacteristic
80C61×#525C2211yescharacteristic, complemented
81C2×#121×C61—21no—
82C2×#121×C61C2211yescharacteristic, complemented
83C2×#121×C61C2211yescharacteristic, complemented
84C61×#520C2211yescharacteristic, complemented
85C61×#496C2211yescharacteristic, complemented
86C61×#496C2211yescharacteristic, complemented
87C61×#495C2211yescharacteristic, complemented
88C61×#493C2211yescharacteristic, complemented
89C61×#490C2211yescharacteristic, complemented
90C61×#489C2211yescharacteristic, complemented
91C61×#488C2211yescharacteristic, complemented
92C61×#486C2211yescharacteristic, complemented
93C61×#485C2211yescharacteristic, complemented
94C61×#484C2211yescharacteristic, complemented
95C61×#484C2211yescharacteristic, complemented
96C61×#482C2211yescharacteristic, complemented
97C61×#482C2211yescharacteristic, complemented
98C61×#482C2211yescharacteristic, complemented
99C61×#481C2211yescharacteristic, complemented
100C61×#480C2211yescharacteristic, complemented
101C61×#480C2211yescharacteristic, complemented
102C61×#480C2211yescharacteristic, complemented
103C61×#480C2211yescharacteristic, complemented
104C61×#480C2211yescharacteristic, complemented
105C61×#479C2211yescharacteristic, complemented
106C61×#478C2211yescharacteristic, complemented
107C61×#477C2211yescharacteristic, complemented
108C61×#474C2211yescharacteristic, complemented
109C61×#469C2211yescharacteristic, complemented
110C61×#468C2211yescharacteristic, complemented
111C61×#468C2211yescharacteristic, complemented
112C61×#468C2211yescharacteristic, complemented
113C61×#467C2211yescharacteristic, complemented
114C61×#466C2211yescharacteristic, complemented
115C61×#466C2211yescharacteristic, complemented
116C61×#466C2211yescharacteristic, complemented
117C61×#466C2211yescharacteristic, complemented
118C61×#466C2211yescharacteristic, complemented
119C61×#466C2211yescharacteristic, complemented
120C61×#466C2211yescharacteristic, complemented
121C61×#466C2211yescharacteristic, complemented
122C61×#465C2211yescharacteristic, complemented
123C61×#465C2211yescharacteristic, complemented
124C61×#465C2211yescharacteristic, complemented
125C61×#464C2211yescharacteristic, complemented
126C61×#464C2211yescharacteristic, complemented
127C61×#463C2211yescharacteristic, complemented
128C61×#463C2211yescharacteristic, complemented
129C61×#463C2211yescharacteristic, complemented
130C61×#463C2211yescharacteristic, complemented
131C61×#460C2211yescharacteristic, complemented
132C61×#460C2211yescharacteristic, complemented
133C61×#459C2211yescharacteristic, complemented
134C61×#459C2211yescharacteristic, complemented
135C61×#459C2211yescharacteristic, complemented
136C61×#459C2211yescharacteristic, complemented
137C61×#452C2211yescharacteristic, complemented
138C61×#452C2211yescharacteristic, complemented
139C61×#452C2211yescharacteristic, complemented
140C61×#452C2211yescharacteristic, complemented
141C61×#451C2211yescharacteristic, complemented
142C61×#450C2211yescharacteristic, complemented
143C61×#450C2211yescharacteristic, complemented
144C61×#450C2211yescharacteristic, complemented
145C61×#450C2211yescharacteristic, complemented
146C61×#449C2211yescharacteristic
147C61×#449C2211yescharacteristic, complemented
148C61×#449C2211yescharacteristic, complemented
149C61×#449C2211yescharacteristic, complemented
150C61×#449C2211yescharacteristic, complemented
151C61×#449C2211yescharacteristic, complemented
152C61×#449C2211yescharacteristic, complemented
153C61×#449C2211yescharacteristic, complemented
154C61×#449C2211yescharacteristic, complemented
155C61×#449C2211yescharacteristic, complemented
156C61×#449C2211yescharacteristic, complemented
157C61×#449C2211yescharacteristic, complemented
158C61×#449C2211yescharacteristic, complemented
159C61×#449C2211yescharacteristic, complemented
160C61×#449C2211yescharacteristic, complemented
161C61×#449C2211yescharacteristic, complemented
162C61×#448C2211yescharacteristic, complemented
163C61×#447C2211yescharacteristic, complemented
164C61×#447C2211yescharacteristic, complemented
165C61×#447C2211yescharacteristic, complemented
166C61×#447C2211yescharacteristic, complemented
167C61×#447C2211yescharacteristic, complemented
168C61×#447C2211yescharacteristic, complemented
169C61×#447C2211yescharacteristic, complemented
170C61×#447C2211yescharacteristic, complemented
171C61×#447C2211yescharacteristic, complemented
172C61×#447C2211yescharacteristic, complemented
173C61×#442C2211yescharacteristic, complemented
174C61×#440C2211yescharacteristic, complemented
175C61×#440C2211yescharacteristic, complemented
176C61×#440C2211yescharacteristic, complemented
177C4×Q16×C61C2211yescharacteristic, complemented
178C4×SD16×C61C2211yescharacteristic, complemented
179C4×D8×C61C2211yescharacteristic, complemented
180C4×D8×C61C2211yescharacteristic, complemented
181C61×#435C2211yescharacteristic, complemented
182C61×#435C2211yescharacteristic, complemented
183C61×#435C2211yescharacteristic, complemented
184C61×#435C2211yescharacteristic, complemented
185C8×D4×C61C2211yescharacteristic, complemented
186C8×D4×C61C2211yescharacteristic, complemented
187C8×D4×C61C2211yescharacteristic, complemented
188C8×D4×C61C2211yescharacteristic, complemented
189C61×#433C2211yescharacteristic, complemented
190C61×#433C2211yescharacteristic, complemented
191C61×#418C2211yescharacteristic, complemented
192C61×#417C2211yescharacteristic, complemented
193C61×#416C2211yescharacteristic, complemented
194C61×#416C2211yescharacteristic, complemented
195C61×#416C2211yescharacteristic, complemented
196C2×#103×C61C2211yescharacteristic, complemented
197C2×#102×C61C2211yescharacteristic, complemented
198C2×#102×C61C2211yescharacteristic, complemented
199C61×#408C2211yescharacteristic, complemented
200C61×#408C2211yescharacteristic, complemented
201C2×C22⋊C8×C61C2211yescharacteristic, complemented
202C2×C22⋊C8×C61C2211yescharacteristic, complemented
203H(5,𝔽2)×C61—42no—
204H(5,𝔽2)×C61—42no—
205C2×#41×C61—21no—
206C2×#41×C61—21no—
207C2×#41×C61—21no—
208C2×#41×C61—21no—
209C2×#41×C61—42no—
210C2×#41×C61—42no—
211C2×#41×C61C2311yescharacteristic
212C2×#41×C61C2311yescharacteristic
213C2×#41×C61C2311yescharacteristic
214C2×#41×C61C2311yescharacteristic
215C2×#41×C61C2311yescharacteristic
216C2×#41×C61C2311yescharacteristic
217C2×#41×C61C2311yescharacteristic
218C2×#41×C61C2311yescharacteristic
219C2×#41×C61C2311yescharacteristic
220C22×Q8×C61C2311yescharacteristic
221C22×D4×C61—21no—
222C22×D4×C61—21no—
223C22×D4×C61—21no—
224C22×D4×C61—21no—
225C22×D4×C61—21no—
226C22×D4×C61—21no—
227C22×D4×C61—21no—
228C22×D4×C61—21no—
229C22×D4×C61—21no—
230C22×D4×C61C2311yescharacteristic
231C22×D4×C61C2311yescharacteristic
232C22×D4×C61C2311yescharacteristic
233C22×D4×C61C2311yescharacteristic
234C22×D4×C61C2311yescharacteristic
235C22×D4×C61C2311yescharacteristic
236C23×C4×C61—21no—
237C23×C4×C61C2311yescharacteristic
238AGL(1,ℤ/8)×C61—42no—
239AGL(1,ℤ/8)×C61—42no—
240#135×C61—42no—
241#135×C61—42no—
242#135×C61—42no—
243C2×Q16×C61C2311yescharacteristic
244C2×Q16×C61C2311yescharacteristic
245C2×SD16×C61—42no—
246C2×SD16×C61C2311yescharacteristic
247C2×SD16×C61C2311yescharacteristic
248C2×SD16×C61C2311yescharacteristic
249C2×SD16×C61C2311yescharacteristic
250C2×SD16×C61C2311yescharacteristic
251C2×SD16×C61C2311yescharacteristic
252C2×SD16×C61C2311yescharacteristic
253C2×SD16×C61C2311yescharacteristic
254C2×SD16×C61C2311yescharacteristic
255C2×SD16×C61C2311yescharacteristic
256C2×D8×C61—42no—
257C2×D8×C61—42no—
258C2×D8×C61C2311yescharacteristic
259C2×D8×C61C2311yescharacteristic
260C2×D8×C61C2311yescharacteristic
261C2×D8×C61C2311yescharacteristic
262C2×D8×C61C2311yescharacteristic
263C2×D8×C61C2311yescharacteristic
264C2×D8×C61C2311yescharacteristic
265C2×D8×C61C2311yescharacteristic
266C2×D8×C61C2311yescharacteristic
267C2×D8×C61C2311yescharacteristic
268C2×D8×C61C2311yescharacteristic
269C2×D8×C61C2311yescharacteristic
270C2×M16×C61C2311yescharacteristic
271C2×M16×C61C2311yescharacteristic
272C22×C8×C61C2311yescharacteristic
273C22×C8×C61C2311yescharacteristic
274C22×C8×C61C2311yescharacteristic
275C22×C8×C61C2311yescharacteristic
276C22×C8×C61C2311yescharacteristic
277C22×C8×C61C2311yescharacteristic
278C4⋊Q8×C61C2311yescharacteristic
279#127×C61—21no—
280#127×C61—21no—
281#127×C61—21no—
282#127×C61—21no—
283#127×C61C2311yescharacteristic
284#127×C61C2311yescharacteristic
285#127×C61C2311yescharacteristic
286#126×C61—21no—
287#126×C61—21no—
288#126×C61—21no—
289#125×C61—21no—
290#125×C61C2311yescharacteristic
291#124×C61—21no—
292#124×C61—21no—
293#124×C61—21no—
294#124×C61—21no—
295#124×C61—21no—
296#124×C61—21no—
297#124×C61C2311yescharacteristic
298#124×C61C2311yescharacteristic
299#124×C61C2311yescharacteristic
300#123×C61—21no—
301#123×C61—21no—
302#123×C61—21no—
303#123×C61—21no—
304#123×C61—21no—
305#123×C61—21no—
306#123×C61—21no—
307#123×C61—21no—
308#123×C61—21no—
309#123×C61—21no—
310#123×C61—21no—
311#123×C61—21no—
312#123×C61D411yescharacteristic
313#123×C61D411yescharacteristic
314C22⋊Q8×C61—21no—
315C22⋊Q8×C61—21no—
316C22⋊Q8×C61—21no—
317C22⋊Q8×C61—21no—
318C22⋊Q8×C61—21no—
319C22⋊Q8×C61—21no—
320C22⋊Q8×C61D411yescharacteristic
321C22⋊Q8×C61D411yescharacteristic
322C22⋊Q8×C61C2311yescharacteristic
323C22⋊Q8×C61C2311yescharacteristic
324C22⋊Q8×C61C2311yescharacteristic
325C22⋊Q8×C61C2311yescharacteristic
326C22⋊Q8×C61C2311yescharacteristic
327#121×C61—21no—
328#121×C61—21no—
329#121×C61—21no—
330#121×C61—21no—
331#121×C61—21no—
332#121×C61—21no—
333#121×C61—21no—
334#121×C61—21no—
335#121×C61—21no—
336#121×C61—21no—
337#121×C61—21no—
338#121×C61—21no—
339#121×C61—21no—
340#121×C61—21no—
341#121×C61—21no—
342#121×C61—21no—
343#121×C61—21no—
344#121×C61—21no—
345#121×C61—21no—
346#121×C61—21no—
347#121×C61—21no—
348#121×C61—21no—
349#121×C61—21no—
350#121×C61—21no—
351#121×C61—21no—
352#121×C61—21no—
353#121×C61—21no—
354#121×C61—21no—
355#121×C61—21no—
356#121×C61—21no—
357#121×C61—21no—
358#121×C61D411yescharacteristic
359#121×C61D411yescharacteristic
360#121×C61C2311yescharacteristic
361#121×C61C2311yescharacteristic
362#121×C61C2311yescharacteristic
363#121×C61C2311yescharacteristic
364#121×C61C2311yescharacteristic
365#121×C61C2311yescharacteristic
366#121×C61C2311yescharacteristic
367#121×C61C2311yescharacteristic
368#121×C61C2311yescharacteristic
369#121×C61C2311yescharacteristic
370#121×C61C2311yescharacteristic
371#121×C61C2311yescharacteristic
372#121×C61C2311yescharacteristic
373#121×C61C2311yescharacteristic
374#121×C61C2311yescharacteristic
375#120×C61—21no—
376#120×C61—21no—
377#120×C61—21no—
378#120×C61—21no—
379#120×C61—21no—
380#120×C61—21no—
381#120×C61—21no—
382#120×C61—21no—
383#120×C61—21no—
384#120×C61—21no—
385#120×C61—21no—
386#120×C61—21no—
387#120×C61—21no—
388#120×C61—21no—
389#120×C61—21no—
390#120×C61D411yescharacteristic
391#120×C61D411yescharacteristic
392C4×Q8×C61C2311yescharacteristic
393C4×Q8×C61C2311yescharacteristic
394C4×Q8×C61C2311yescharacteristic
395C4×D4×C61—21no—
396C4×D4×C61—21no—
397C4×D4×C61—21no—
398C4×D4×C61—21no—
399C4×D4×C61—21no—
400C4×D4×C61—21no—
401C4×D4×C61—21no—
402C4×D4×C61—21no—
403C4×D4×C61—21no—
404C4×D4×C61—21no—
405C4×D4×C61C2311yescharacteristic
406C4×D4×C61C2311yescharacteristic
407C4×D4×C61C2311yescharacteristic
408C4×D4×C61C2311yescharacteristic
409C4×D4×C61C2311yescharacteristic
410C4×D4×C61C2311yescharacteristic
411C4×D4×C61C2311yescharacteristic
412C4×D4×C61C2311yescharacteristic
413C4×D4×C61C2311yescharacteristic
414#117×C61—21no—
415#117×C61—21no—
416#117×C61—21no—
417#117×C61C2311yescharacteristic
418#117×C61C2311yescharacteristic
419#117×C61C2311yescharacteristic
420C2×C4⋊C4×C61—21no—
421C2×C4⋊C4×C61C2311yescharacteristic
422C2×C4⋊C4×C61C2311yescharacteristic
423C2×C4⋊C4×C61C2311yescharacteristic
424C2×C22⋊C4×C61—21no—
425C2×C22⋊C4×C61—21no—
426C2×C22⋊C4×C61—21no—
427C2×C22⋊C4×C61—21no—
428C2×C22⋊C4×C61—21no—
429C2×C22⋊C4×C61—21no—
430#107×C61C2311yescharacteristic
431#107×C61C2311yescharacteristic
432#107×C61C2311yescharacteristic
433#107×C61C2311yescharacteristic
434#107×C61C2311yescharacteristic
435#107×C61C2311yescharacteristic
436#106×C61C2311yescharacteristic
437#106×C61C2311yescharacteristic
438C4⋊C8×C61C2311yescharacteristic
439C4⋊C8×C61C2311yescharacteristic
440C4⋊C8×C61C2311yescharacteristic
441C4⋊C8×C61C2311yescharacteristic
442#103×C61C2311yescharacteristic
443#103×C61C2311yescharacteristic
444#103×C61C2311yescharacteristic
445#103×C61C2311yescharacteristic
446#103×C61C2311yescharacteristic
447#103×C61C2311yescharacteristic
448#103×C61C2311yescharacteristic
449#103×C61C2311yescharacteristic
450#103×C61C2311yescharacteristic
451#103×C61C2311yescharacteristic
452#102×C61C2311yescharacteristic
453#102×C61C2311yescharacteristic
454#102×C61C2311yescharacteristic
455#102×C61C2311yescharacteristic
456#102×C61C2311yescharacteristic
457#102×C61C2311yescharacteristic
458#102×C61C2311yescharacteristic
459#102×C61C2311yescharacteristic
460#102×C61C2311yescharacteristic
461#102×C61C2311yescharacteristic
462#102×C61C2311yescharacteristic
463#102×C61C2311yescharacteristic
464#102×C61C2311yescharacteristic
465#102×C61C2311yescharacteristic
466#102×C61C2311yescharacteristic
467#102×C61C2311yescharacteristic
468#102×C61C2311yescharacteristic
469#102×C61C2311yescharacteristic
470#102×C61C2311yescharacteristic
471#102×C61C2311yescharacteristic
472#102×C61C2311yescharacteristic
473#102×C61C2311yescharacteristic
474C22⋊C8×C61C2311yescharacteristic
475C22⋊C8×C61C2311yescharacteristic
476C22⋊C8×C61C2311yescharacteristic
477C22⋊C8×C61C2311yescharacteristic
478C22⋊C8×C61C2311yescharacteristic
479C22⋊C8×C61C2311yescharacteristic
480C22⋊C8×C61C2311yescharacteristic
481C22⋊C8×C61C2311yescharacteristic
482C22⋊C8×C61C2311yescharacteristic
483C22⋊C8×C61C2311yescharacteristic
484C22⋊C8×C61C2311yescharacteristic
485C22⋊C8×C61C2311yescharacteristic
486#97×C61C2311yescharacteristic
487#97×C61C2311yescharacteristic
488C4×C8×C61C2311yescharacteristic
489C4×C8×C61C2311yescharacteristic
490C24×C61—21no—
491C24×C61—21no—
492C24×C61—21no—
493C24×C61—21no—
494C24×C61—21no—
495C24×C61—21no—
496C24×C61C2×D411yescharacteristic
497#41×C61—22no—
498#41×C61—22no—
499#41×C61—22no—
500#41×C61—22no—
501#41×C61—22no—
502#41×C61—22no—
503#41×C61—41no—
504#41×C61—41no—
505#41×C61—41no—
506#41×C61—41no—
507#41×C61—41no—
508#41×C61—41no—
509#41×C61—41no—
510#41×C61—41no—
511#41×C61—44no—
512#41×C61—44no—
513#41×C61—41no—
514#41×C61—41no—
515#41×C61—41no—
516#41×C61—41no—
517#41×C61—44no—
518#41×C61—82no—
519C2×Q8×C61—21no—
520C2×Q8×C61—21no—
521C2×Q8×C61—22no—
522C2×Q8×C61—41no—
523C2×Q8×C61C2×D411yescharacteristic
524C2×Q8×C61C2411yescharacteristic
525C2×Q8×C61C2411yescharacteristic
526C2×Q8×C61C2411yescharacteristic
527C2×D4×C61—21no—
528C2×D4×C61—22no—
529C2×D4×C61—22no—
530C2×D4×C61—22no—
531C2×D4×C61—21no—
532C2×D4×C61—21no—
533C2×D4×C61—21no—
534C2×D4×C61—21no—
535C2×D4×C61—21no—
536C2×D4×C61—21no—
537C2×D4×C61—21no—
538C2×D4×C61—21no—
539C2×D4×C61—21no—
540C2×D4×C61—21no—
541C2×D4×C61—21no—
542C2×D4×C61—21no—
543C2×D4×C61—21no—
544C2×D4×C61—21no—
545C2×D4×C61—21no—
546C2×D4×C61—21no—
547C2×D4×C61—21no—
548C2×D4×C61—21no—
549C2×D4×C61—21no—
550C2×D4×C61—21no—
551C2×D4×C61—21no—
552C2×D4×C61—21no—
553C2×D4×C61—21no—
554C2×D4×C61—21no—
555C2×D4×C61—21no—
556C2×D4×C61—21no—
557C2×D4×C61—21no—
558C2×D4×C61—21no—
559C2×D4×C61—21no—
560C2×D4×C61—21no—
561C2×D4×C61—21no—
562C2×D4×C61—21no—
563C2×D4×C61—21no—
564C2×D4×C61—21no—
565C2×D4×C61—41no—
566C2×D4×C61—41no—
567C2×D4×C61—41no—
568C2×D4×C61—41no—
569C2×D4×C61—41no—
570C2×D4×C61—41no—
571C2×D4×C61—41no—
572C2×D4×C61—41no—
573C2×D4×C61—41no—
574C2×D4×C61—44no—
575C2×D4×C61—44no—
576C2×D4×C61—44no—
577C2×D4×C61—44no—
578C2×D4×C61—82no—
579C2×D4×C61—82no—
580C2×D4×C61—82no—
581C2×D4×C61—82no—
582C2×D4×C61—82no—
583C2×D4×C61C2×D411yescharacteristic
584C2×D4×C61C2×D411yescharacteristic
585C2×D4×C61C2×D411yescharacteristic
586C2×D4×C61C2×D411yescharacteristic
587C2×D4×C61C2×D411yescharacteristic
588C2×D4×C61C2×D411yescharacteristic
589C2×D4×C61C2×D411yescharacteristic
590C2×D4×C61C2411yescharacteristic
591C2×D4×C61C2411yescharacteristic
592C2×D4×C61C2411yescharacteristic
593C2×D4×C61C2411yescharacteristic
594C2×D4×C61C2411yescharacteristic
595C2×D4×C61C2411yescharacteristic
596C2×D4×C61C2411yescharacteristic
597C22×C4×C61—21no—
598C22×C4×C61—21no—
599C22×C4×C61—21no—
600C22×C4×C61—21no—
601C22×C4×C61—21no—
602C22×C4×C61—21no—
603C22×C4×C61—21no—
604C22×C4×C61—21no—
605C22×C4×C61—21no—
606C22×C4×C61—21no—
607C22×C4×C61—21no—
608C22×C4×C61—21no—
609C22×C4×C61—21no—
610C22×C4×C61—21no—
611C22×C4×C61—21no—
612C22×C4×C61—21no—
613C22×C4×C61—21no—
614C22×C4×C61—41no—
615C22×C4×C61—41no—
616C22×C4×C61—44no—
617C22×C4×C61C2×D411yescharacteristic
618C22×C4×C61C2×D411yescharacteristic
619C22×C4×C61C2×D411yescharacteristic
620C22×C4×C61C2411yescharacteristic
621C22×C4×C61C2411yescharacteristic
622C22×C4×C61C2411yescharacteristic
623C22×C4×C61C2411yescharacteristic
624C22×C4×C61C2411yescharacteristic
625Q16×C61—22no—
626Q16×C61—41no—
627SD16×C61—22no—
628SD16×C61—22no—
629SD16×C61—22no—
630SD16×C61—22no—
631SD16×C61—41no—
632SD16×C61—41no—
633SD16×C61—41no—
634SD16×C61—41no—
635SD16×C61—41no—
636SD16×C61—41no—
637D8×C61—22no—
638D8×C61—22no—
639D8×C61—22no—
640D8×C61—41no—
641D8×C61—41no—
642D8×C61—41no—
643D8×C61—41no—
644D8×C61—41no—
645D8×C61—41no—
646D8×C61—41no—
647D8×C61—41no—
648D8×C61—41no—
649M16×C61—41no—
650M16×C61—41no—
651C2×C8×C61—41no—
652C2×C8×C61—41no—
653C2×C8×C61—41no—
654C2×C8×C61—41no—
655C2×C8×C61—41no—
656C2×C8×C61—41no—
657C2×C8×C61C2411yescharacteristic
658C2×C8×C61C2411yescharacteristic
659C2×C8×C61C2411yescharacteristic
660C2×C8×C61C2411yescharacteristic
661C2×C8×C61C2411yescharacteristic
662C2×C8×C61C2411yescharacteristic
663C2×C8×C61C2411yescharacteristic
664C2×C8×C61C2411yescharacteristic
665C4⋊C4×C61—21no—
666C4⋊C4×C61—21no—
667C4⋊C4×C61—21no—
668C4⋊C4×C61—21no—
669C4⋊C4×C61—21no—
670C4⋊C4×C61—21no—
671C4⋊C4×C61—21no—
672C4⋊C4×C61—21no—
673C4⋊C4×C61—21no—
674C4⋊C4×C61—21no—
675C4⋊C4×C61—21no—
676C4⋊C4×C61—21no—
677C4⋊C4×C61—21no—
678C4⋊C4×C61—21no—
679C4⋊C4×C61C2×D411yescharacteristic
680C4⋊C4×C61C2×D411yescharacteristic
681C4⋊C4×C61C2×D411yescharacteristic
682C4⋊C4×C61C2×D411yescharacteristic
683C4⋊C4×C61C2×D411yescharacteristic
684C4⋊C4×C61C2×D411yescharacteristic
685C4⋊C4×C61C2411yescharacteristic
686C4⋊C4×C61C2411yescharacteristic
687C4⋊C4×C61C2411yescharacteristic
688C4⋊C4×C61C2411yescharacteristic
689C4⋊C4×C61C2411yescharacteristic
690C4⋊C4×C61C2411yescharacteristic
691C22⋊C4×C61—21no—
692C22⋊C4×C61—21no—
693C22⋊C4×C61—21no—
694C22⋊C4×C61—21no—
695C22⋊C4×C61—21no—
696C22⋊C4×C61—21no—
697C22⋊C4×C61—21no—
698C22⋊C4×C61—21no—
699C22⋊C4×C61—21no—
700C22⋊C4×C61—21no—
701C22⋊C4×C61—21no—
702C22⋊C4×C61—21no—
703C22⋊C4×C61—21no—
704C22⋊C4×C61—21no—
705C22⋊C4×C61—21no—
706C22⋊C4×C61—21no—
707C22⋊C4×C61—21no—
708C22⋊C4×C61—21no—
709C22⋊C4×C61—21no—
710C22⋊C4×C61—21no—
711C22⋊C4×C61—21no—
712C22⋊C4×C61—21no—
713C22⋊C4×C61—21no—
714C22⋊C4×C61—21no—
715C22⋊C4×C61—21no—
716C22⋊C4×C61—21no—
717C22⋊C4×C61—21no—
718C22⋊C4×C61—21no—
719C22⋊C4×C61—21no—
720C22⋊C4×C61—21no—
721C22⋊C4×C61—21no—
722C22⋊C4×C61—21no—
723C22⋊C4×C61—21no—
724C22⋊C4×C61C2×D411yescharacteristic
725C22⋊C4×C61C2×D411yescharacteristic
726C22⋊C4×C61C2×D411yescharacteristic
727C22⋊C4×C61C2×D411yescharacteristic
728C22⋊C4×C61C2×D411yescharacteristic
729C22⋊C4×C61C2×D411yescharacteristic
730C22⋊C4×C61C2×D411yescharacteristic
731C22⋊C4×C61C2×D411yescharacteristic
732C22⋊C4×C61C2×D411yescharacteristic
733C22⋊C4×C61C2×D411yescharacteristic
734C42×C61—21no—
735C42×C61—21no—
736C42×C61—21no—
737C42×C61—21no—
738C42×C61—21no—
739C42×C61C2411yescharacteristic
740C42×C61C2411yescharacteristic
741C23×C61—21no—
742C23×C61—22no—
743C23×C61—21no—
744C23×C61—21no—
745C23×C61—21no—
746C23×C61—21no—
747C23×C61—21no—
748C23×C61—21no—
749C23×C61—41no—
750C23×C61—41no—
751C23×C61—42no—
752C23×C61—42no—
753C23×C61—42no—
754C23×C61—42no—
755C23×C61—42no—
756C23×C61—42no—
757C23×C61—81no—
758C23×C61—81no—
759C23×C61—81no—
760C23×C61—81no—
761C23×C61—81no—
762C23×C61—81no—
763C23×C61—81no—
764C23×C61—81no—
765C23×C61—81no—
766C23×C61—81no—
767C23×C61—81no—
768C23×C61—81no—
769C23×C61C22×D411yescharacteristic
770C23×C61C22×D411yescharacteristic
771C23×C61C22×D411yescharacteristic
772C23×C61C22×D411yescharacteristic
773C23×C61C22×D411yescharacteristic
774Q8×C61—21no—
775Q8×C61—21no—
776Q8×C61—21no—
777Q8×C61—21no—
778Q8×C61—21no—
779Q8×C61—41no—
780Q8×C61—42no—
781Q8×C61—81no—
782Q8×C61H(5,𝔽2)12yes—
783D4×C61—24no—
784D4×C61—22no—
785D4×C61—22no—
786D4×C61—21no—
787D4×C61—21no—
788D4×C61—21no—
789D4×C61—21no—
790D4×C61—21no—
791D4×C61—21no—
792D4×C61—21no—
793D4×C61—21no—
794D4×C61—21no—
795D4×C61—21no—
796D4×C61—21no—
797D4×C61—21no—
798D4×C61—21no—
799D4×C61—41no—
800D4×C61—41no—
801D4×C61—41no—
802D4×C61—41no—
803D4×C61—41no—
804D4×C61—42no—
805D4×C61—42no—
806D4×C61—42no—
807D4×C61—42no—
808D4×C61—42no—
809D4×C61—42no—
810D4×C61—42no—
811D4×C61—42no—
812D4×C61—42no—
813D4×C61—42no—
814D4×C61—42no—
815D4×C61—42no—
816D4×C61—81no—
817D4×C61—81no—
818D4×C61—81no—
819D4×C61—81no—
820D4×C61—81no—
821D4×C61—81no—
822D4×C61—81no—
823D4×C61—81no—
824D4×C61—81no—
825D4×C61—81no—
826D4×C61—81no—
827D4×C61—81no—
828D4×C61—81no—
829D4×C61—81no—
830D4×C61—81no—
831D4×C61—81no—
832D4×C61—81no—
833D4×C61—81no—
834D4×C61—81no—
835D4×C61—81no—
836D4×C61—81no—
837D4×C61—81no—
838D4×C61H(5,𝔽2)12yes—
839C2×C4×C61—24no—
840C2×C4×C61—21no—
841C2×C4×C61—21no—
842C2×C4×C61—21no—
843C2×C4×C61—21no—
844C2×C4×C61—21no—
845C2×C4×C61—21no—
846C2×C4×C61—21no—
847C2×C4×C61—21no—
848C2×C4×C61—21no—
849C2×C4×C61—21no—
850C2×C4×C61—21no—
851C2×C4×C61—21no—
852C2×C4×C61—21no—
853C2×C4×C61—21no—
854C2×C4×C61—21no—
855C2×C4×C61—21no—
856C2×C4×C61—21no—
857C2×C4×C61—21no—
858C2×C4×C61—21no—
859C2×C4×C61—41no—
860C2×C4×C61—41no—
861C2×C4×C61—41no—
862C2×C4×C61—42no—
863C2×C4×C61—42no—
864C2×C4×C61—42no—
865C2×C4×C61—42no—
866C2×C4×C61—42no—
867C2×C4×C61—42no—
868C2×C4×C61—42no—
869C2×C4×C61—81no—
870C2×C4×C61—81no—
871C2×C4×C61—81no—
872C2×C4×C61—81no—
873C2×C4×C61—81no—
874C2×C4×C61—81no—
875C2×C4×C61—81no—
876C2×C4×C61—81no—
877C2×C4×C61—81no—
878C2×C4×C61C22×D411yescharacteristic
879C2×C4×C61C22×D411yescharacteristic
880C2×C4×C61C22×D411yescharacteristic
881C2×C4×C61C22×D411yescharacteristic
882C2×C4×C61C22×D411yescharacteristic
883C2×C4×C61C22×D411yescharacteristic
884C2×C4×C61C22×D411yescharacteristic
885C2×C4×C61C22×D411yescharacteristic
886C2×C4×C61C22×D411yescharacteristic
887C2×C4×C61C2511yescharacteristic
888C8×C61—21no—
889C8×C61—21no—
890C8×C61—21no—
891C8×C61—21no—
892C8×C61—21no—
893C8×C61—21no—
894C8×C61—21no—
895C8×C61—21no—
896#61639C6111yesmaximal, characteristic, direct product factor, Sylow
897C22×C61—21no—
898C22×C61—21no—
899C22×C61—21no—
900C22×C61—21no—
901C22×C61—21no—
902C22×C61—21no—
903C22×C61—21no—
904C22×C61—22no—
905C22×C61—21no—
906C22×C61—21no—
907C22×C61—21no—
908C22×C61—21no—
909C22×C61—21no—
910C22×C61—21no—
911C22×C61—21no—
912C22×C61—41no—
913C22×C61—41no—
914C22×C61—41no—
915C22×C61—41no—
916C22×C61—41no—
917C22×C61—41no—
918C22×C61—41no—
919C22×C61—41no—
920C22×C61—41no—
921C22×C61—41no—
922C22×C61—41no—
923C22×C61—41no—
924C22×C61—41no—
925C22×C61—41no—
926C22×C61—41no—
927C22×C61—41no—
928C22×C61—41no—
929C22×C61—41no—
930C22×C61—41no—
931C22×C61—41no—
932C22×C61—82no—
933C22×C61—84no—
934C22×C61—162no—
935C22×C61—162no—
936C22×C61—162no—
937C22×C61—162no—
938C22×C61—162no—
939C22×C61#57612yes—
940C22×C61C23×D411yescharacteristic
941C4×C61—21no—
942C4×C61—21no—
943C4×C61—21no—
944C4×C61—22no—
945C4×C61—21no—
946C4×C61—21no—
947C4×C61—21no—
948C4×C61—21no—
949C4×C61—21no—
950C4×C61—21no—
951C4×C61—41no—
952C4×C61—41no—
953C4×C61—41no—
954C4×C61—41no—
955C4×C61—41no—
956C4×C61—41no—
957C4×C61—41no—
958C4×C61—41no—
959C4×C61C2×H(5,𝔽2)11yescharacteristic
960C4×C61C2×H(5,𝔽2)11yescharacteristic
961#3542C2×C6111yescharacteristic, complemented
962#3488C2×C6111yescharacteristic, complemented
963#3319C2×C6111yescharacteristic, complemented
964#3310C2×C6111yescharacteristic, complemented
965#3309C2×C6111yescharacteristic, complemented
966#3308C2×C6111yescharacteristic, complemented
967#3305C2×C6111yescharacteristic, complemented
968#3300C2×C6111yescharacteristic, complemented
969#3297C2×C6111yescharacteristic, complemented
970#3294C2×C6111yescharacteristic, complemented
971#3287C2×C6111yescharacteristic, complemented
972#3282C2×C6111yescharacteristic, complemented
973#3280C2×C6111yescharacteristic, complemented
974D4×D8C2×C6111yescharacteristic, complemented
975#3268C2×C6111yescharacteristic, complemented
976#3268C2×C6111yescharacteristic, complemented
977#3265C2×C6111yescharacteristic, complemented
978#3264C2×C6111yescharacteristic, complemented
979#3224C2×C6111yescharacteristic, complemented
980#3220C2×C6111yescharacteristic, complemented
981#3203C2×C6111yescharacteristic, complemented
982#3198C2×C6111yescharacteristic, complemented
983#3188C2×C6111yescharacteristic, complemented
984#3186C2×C6111yescharacteristic, complemented
985#3124C2×C6111yescharacteristic, complemented
986#3119C2×C6111yescharacteristic, complemented
987#3012C2×C6111yescharacteristic, complemented
988#3008C2×C6111yescharacteristic, complemented
989#3002C2×C6111yescharacteristic, complemented
990C2×#449C2×C6111yescharacteristic, complemented
991#2977C2×C6111yescharacteristic, complemented
992C2×C61—22no—
993C2×C61—41no—
994C2×C61—41no—
995C2×C61—41no—
996C2×C61—41no—
997C2×C61—42no—
998C2×C61—81no—
999C2×C61—81no—
1000C2×C61—81no—
1001C2×C61—81no—
1002C2×C61—81no—
1003C2×C61—81no—
1004C2×C61#348411yescharacteristic
1005C2×C61C2×#57611yescharacteristic
1006C2×C61#358411yescharacteristic
1007C2×H(5,𝔽2)C22×C6111yescharacteristic, complemented
1008C22×#41C22×C6111yescharacteristic, complemented
1009C2×AGL(1,ℤ/8)C22×C6111yescharacteristic, complemented
1010C2×AGL(1,ℤ/8)C22×C6111yescharacteristic, complemented
1011C2×#135C22×C6111yescharacteristic, complemented
1012C2×#135C22×C6111yescharacteristic, complemented
1013C2×#135C22×C6111yescharacteristic, complemented
1014C22×SD16C22×C6111yescharacteristic, complemented
1015C22×D8C22×C6111yescharacteristic, complemented
1016C22×D8C22×C6111yescharacteristic, complemented
1017#562—21no—
1018#560—21no—
1019#555C22×C6111yescharacteristic, complemented
1020#553C22×C6111yescharacteristic, complemented
1021#552C22×C6111yescharacteristic, complemented
1022#551—21no—
1023#550C22×C6111yescharacteristic, complemented
1024#550C22×C6111yescharacteristic, complemented
1025#550C22×C6111yescharacteristic, complemented
1026#548C22×C6111yescharacteristic
1027#548C22×C6111yescharacteristic, complemented
1028#547C22×C6111yescharacteristic, complemented
1029#546—21no—
1030#546—21no—
1031#546—21no—
1032#546C22×C6111yescharacteristic, complemented
1033#546C22×C6111yescharacteristic, complemented
1034#546C22×C6111yescharacteristic, complemented
1035#546C22×C6111yescharacteristic, complemented
1036D42—21no—
1037D42—21no—
1038D42C22×C6111yescharacteristic
1039D42C22×C6111yescharacteristic, complemented
1040D42C22×C6111yescharacteristic, complemented
1041#542C22×C6111yescharacteristic, complemented
1042#540—21no—
1043#540C22×C6111yescharacteristic, complemented
1044#538—21no—
1045#537—21no—
1046#537C22×C6111yescharacteristic, complemented
1047#537C22×C6111yescharacteristic, complemented
1048#535—21no—
1049#535—21no—
1050#535C22×C6111yescharacteristic, complemented
1051#535C22×C6111yescharacteristic, complemented
1052#534—21no—
1053#525—21no—
1054#525C22×C6111yescharacteristic
1055#525C22×C6111yescharacteristic, complemented
1056C2×#121—21no—
1057C2×#121C22×C6111yescharacteristic, complemented
1058C2×#121C22×C6111yescharacteristic, complemented
1059#520C22×C6111yescharacteristic, complemented
1060#496C22×C6111yescharacteristic, complemented
1061#496C22×C6111yescharacteristic, complemented
1062#495C22×C6111yescharacteristic, complemented
1063#493C22×C6111yescharacteristic, complemented
1064#490C22×C6111yescharacteristic, complemented
1065#489C22×C6111yescharacteristic, complemented
1066#488C22×C6111yescharacteristic, complemented
1067#486C22×C6111yescharacteristic, complemented
1068#485C22×C6111yescharacteristic, complemented
1069#484C22×C6111yescharacteristic, complemented
1070#484C22×C6111yescharacteristic, complemented
1071#482C22×C6111yescharacteristic, complemented
1072#482C22×C6111yescharacteristic, complemented
1073#482C22×C6111yescharacteristic, complemented
1074#481C22×C6111yescharacteristic, complemented
1075#480C22×C6111yescharacteristic, complemented
1076#480C22×C6111yescharacteristic, complemented
1077#480C22×C6111yescharacteristic, complemented
1078#480C22×C6111yescharacteristic, complemented
1079#480C22×C6111yescharacteristic, complemented
1080#479C22×C6111yescharacteristic, complemented
1081#478C22×C6111yescharacteristic, complemented
1082#477C22×C6111yescharacteristic, complemented
1083#474C22×C6111yescharacteristic, complemented
1084#469C22×C6111yescharacteristic, complemented
1085#468C22×C6111yescharacteristic, complemented
1086#468C22×C6111yescharacteristic, complemented
1087#468C22×C6111yescharacteristic, complemented
1088#467C22×C6111yescharacteristic, complemented
1089#466C22×C6111yescharacteristic, complemented
1090#466C22×C6111yescharacteristic, complemented
1091#466C22×C6111yescharacteristic, complemented
1092#466C22×C6111yescharacteristic, complemented
1093#466C22×C6111yescharacteristic, complemented
1094#466C22×C6111yescharacteristic, complemented
1095#466C22×C6111yescharacteristic, complemented
1096#466C22×C6111yescharacteristic, complemented
1097#465C22×C6111yescharacteristic, complemented
1098#465C22×C6111yescharacteristic, complemented
1099#465C22×C6111yescharacteristic, complemented
1100#464C22×C6111yescharacteristic, complemented
1101#464C22×C6111yescharacteristic, complemented
1102#463C22×C6111yescharacteristic, complemented
1103#463C22×C6111yescharacteristic, complemented
1104#463C22×C6111yescharacteristic, complemented
1105#463C22×C6111yescharacteristic, complemented
1106#460C22×C6111yescharacteristic, complemented
1107#460C22×C6111yescharacteristic, complemented
1108#459C22×C6111yescharacteristic, complemented
1109#459C22×C6111yescharacteristic, complemented
1110#459C22×C6111yescharacteristic, complemented
1111#459C22×C6111yescharacteristic, complemented
1112#452C22×C6111yescharacteristic, complemented
1113#452C22×C6111yescharacteristic, complemented
1114#452C22×C6111yescharacteristic, complemented
1115#452C22×C6111yescharacteristic, complemented
1116#451C22×C6111yescharacteristic, complemented
1117#450C22×C6111yescharacteristic, complemented
1118#450C22×C6111yescharacteristic, complemented
1119#450C22×C6111yescharacteristic, complemented
1120#450C22×C6111yescharacteristic, complemented
1121#449C22×C6111yescharacteristic
1122#449C22×C6111yescharacteristic, complemented
1123#449C22×C6111yescharacteristic, complemented
1124#449C22×C6111yescharacteristic, complemented
1125#449C22×C6111yescharacteristic, complemented
1126#449C22×C6111yescharacteristic, complemented
1127#449C22×C6111yescharacteristic, complemented
1128#449C22×C6111yescharacteristic, complemented
1129#449C22×C6111yescharacteristic, complemented
1130#449C22×C6111yescharacteristic, complemented
1131#449C22×C6111yescharacteristic, complemented
1132#449C22×C6111yescharacteristic, complemented
1133#449C22×C6111yescharacteristic, complemented
1134#449C22×C6111yescharacteristic, complemented
1135#449C22×C6111yescharacteristic, complemented
1136#449C22×C6111yescharacteristic, complemented
1137#448C22×C6111yescharacteristic, complemented
1138#447C22×C6111yescharacteristic, complemented
1139#447C22×C6111yescharacteristic, complemented
1140#447C22×C6111yescharacteristic, complemented
1141#447C22×C6111yescharacteristic, complemented
1142#447C22×C6111yescharacteristic, complemented
1143#447C22×C6111yescharacteristic, complemented
1144#447C22×C6111yescharacteristic, complemented
1145#447C22×C6111yescharacteristic, complemented
1146#447C22×C6111yescharacteristic, complemented
1147#447C22×C6111yescharacteristic, complemented
1148#442C22×C6111yescharacteristic, complemented
1149#440C22×C6111yescharacteristic, complemented
1150#440C22×C6111yescharacteristic, complemented
1151#440C22×C6111yescharacteristic, complemented
1152C4×Q16C22×C6111yescharacteristic, complemented
1153C4×SD16C22×C6111yescharacteristic, complemented
1154C4×D8C22×C6111yescharacteristic, complemented
1155C4×D8C22×C6111yescharacteristic, complemented
1156#435C22×C6111yescharacteristic, complemented
1157#435C22×C6111yescharacteristic, complemented
1158#435C22×C6111yescharacteristic, complemented
1159#435C22×C6111yescharacteristic, complemented
1160C8×D4C22×C6111yescharacteristic, complemented
1161C8×D4C22×C6111yescharacteristic, complemented
1162C8×D4C22×C6111yescharacteristic, complemented
1163C8×D4C22×C6111yescharacteristic, complemented
1164#433C22×C6111yescharacteristic, complemented
1165#433C22×C6111yescharacteristic, complemented
1166#418C22×C6111yescharacteristic, complemented
1167#417C22×C6111yescharacteristic, complemented
1168#416C22×C6111yescharacteristic, complemented
1169#416C22×C6111yescharacteristic, complemented
1170#416C22×C6111yescharacteristic, complemented
1171C2×#103C22×C6111yescharacteristic, complemented
1172C2×#102C22×C6111yescharacteristic, complemented
1173C2×#102C22×C6111yescharacteristic, complemented
1174#408C22×C6111yescharacteristic, complemented
1175#408C22×C6111yescharacteristic, complemented
1176C2×C22⋊C8C22×C6111yescharacteristic, complemented
1177C2×C22⋊C8C22×C6111yescharacteristic, complemented
1178C61#6163911yescharacteristic, direct product factor, Sylow
1179H(5,𝔽2)—42no—
1180H(5,𝔽2)—42no—
1181C2×#41—21no—
1182C2×#41—21no—
1183C2×#41—21no—
1184C2×#41—21no—
1185C2×#41—42no—
1186C2×#41—42no—
1187C2×#41C23×C6111yescharacteristic
1188C2×#41C23×C6111yescharacteristic
1189C2×#41C23×C6111yescharacteristic
1190C2×#41C23×C6111yescharacteristic
1191C2×#41C23×C6111yescharacteristic
1192C2×#41C23×C6111yescharacteristic
1193C2×#41C23×C6111yescharacteristic
1194C2×#41C23×C6111yescharacteristic
1195C2×#41C23×C6111yescharacteristic
1196C22×Q8C23×C6111yescharacteristic
1197C22×D4—21no—
1198C22×D4—21no—
1199C22×D4—21no—
1200C22×D4—21no—
1201C22×D4—21no—
1202C22×D4—21no—
1203C22×D4—21no—
1204C22×D4—21no—
1205C22×D4—21no—
1206C22×D4C23×C6111yescharacteristic
1207C22×D4C23×C6111yescharacteristic
1208C22×D4C23×C6111yescharacteristic
1209C22×D4C23×C6111yescharacteristic
1210C22×D4C23×C6111yescharacteristic
1211C22×D4C23×C6111yescharacteristic
1212C23×C4—21no—
1213C23×C4C23×C6111yescharacteristic
1214AGL(1,ℤ/8)—42no—
1215AGL(1,ℤ/8)—42no—
1216#135—42no—
1217#135—42no—
1218#135—42no—
1219C2×Q16C23×C6111yescharacteristic
1220C2×Q16C23×C6111yescharacteristic
1221C2×SD16—42no—
1222C2×SD16C23×C6111yescharacteristic
1223C2×SD16C23×C6111yescharacteristic
1224C2×SD16C23×C6111yescharacteristic
1225C2×SD16C23×C6111yescharacteristic
1226C2×SD16C23×C6111yescharacteristic
1227C2×SD16C23×C6111yescharacteristic
1228C2×SD16C23×C6111yescharacteristic
1229C2×SD16C23×C6111yescharacteristic
1230C2×SD16C23×C6111yescharacteristic
1231C2×SD16C23×C6111yescharacteristic
1232C2×D8—42no—
1233C2×D8—42no—
1234C2×D8C23×C6111yescharacteristic
1235C2×D8C23×C6111yescharacteristic
1236C2×D8C23×C6111yescharacteristic
1237C2×D8C23×C6111yescharacteristic
1238C2×D8C23×C6111yescharacteristic
1239C2×D8C23×C6111yescharacteristic
1240C2×D8C23×C6111yescharacteristic
1241C2×D8C23×C6111yescharacteristic
1242C2×D8C23×C6111yescharacteristic
1243C2×D8C23×C6111yescharacteristic
1244C2×D8C23×C6111yescharacteristic
1245C2×D8C23×C6111yescharacteristic
1246C2×M16C23×C6111yescharacteristic
1247C2×M16C23×C6111yescharacteristic
1248C22×C8C23×C6111yescharacteristic
1249C22×C8C23×C6111yescharacteristic
1250C22×C8C23×C6111yescharacteristic
1251C22×C8C23×C6111yescharacteristic
1252C22×C8C23×C6111yescharacteristic
1253C22×C8C23×C6111yescharacteristic
1254C4⋊Q8C23×C6111yescharacteristic
1255#127—21no—
1256#127—21no—
1257#127—21no—
1258#127—21no—
1259#127C23×C6111yescharacteristic
1260#127C23×C6111yescharacteristic
1261#127C23×C6111yescharacteristic
1262#126—21no—
1263#126—21no—
1264#126—21no—
1265#125—21no—
1266#125C23×C6111yescharacteristic
1267#124—21no—
1268#124—21no—
1269#124—21no—
1270#124—21no—
1271#124—21no—
1272#124—21no—
1273#124C23×C6111yescharacteristic
1274#124C23×C6111yescharacteristic
1275#124C23×C6111yescharacteristic
1276#123—21no—
1277#123—21no—
1278#123—21no—
1279#123—21no—
1280#123—21no—
1281#123—21no—
1282#123—21no—
1283#123—21no—
1284#123—21no—
1285#123—21no—
1286#123—21no—
1287#123—21no—
1288#123D4×C6111yescharacteristic
1289#123D4×C6111yescharacteristic
1290C22⋊Q8—21no—
1291C22⋊Q8—21no—
1292C22⋊Q8—21no—
1293C22⋊Q8—21no—
1294C22⋊Q8—21no—
1295C22⋊Q8—21no—
1296C22⋊Q8D4×C6111yescharacteristic
1297C22⋊Q8D4×C6111yescharacteristic
1298C22⋊Q8C23×C6111yescharacteristic
1299C22⋊Q8C23×C6111yescharacteristic
1300C22⋊Q8C23×C6111yescharacteristic
1301C22⋊Q8C23×C6111yescharacteristic
1302C22⋊Q8C23×C6111yescharacteristic
1303#121—21no—
1304#121—21no—
1305#121—21no—
1306#121—21no—
1307#121—21no—
1308#121—21no—
1309#121—21no—
1310#121—21no—
1311#121—21no—
1312#121—21no—
1313#121—21no—
1314#121—21no—
1315#121—21no—
1316#121—21no—
1317#121—21no—
1318#121—21no—
1319#121—21no—
1320#121—21no—
1321#121—21no—
1322#121—21no—
1323#121—21no—
1324#121—21no—
1325#121—21no—
1326#121—21no—
1327#121—21no—
1328#121—21no—
1329#121—21no—
1330#121—21no—
1331#121—21no—
1332#121—21no—
1333#121—21no—
1334#121D4×C6111yescharacteristic
1335#121D4×C6111yescharacteristic
1336#121C23×C6111yescharacteristic
1337#121C23×C6111yescharacteristic
1338#121C23×C6111yescharacteristic
1339#121C23×C6111yescharacteristic
1340#121C23×C6111yescharacteristic
1341#121C23×C6111yescharacteristic
1342#121C23×C6111yescharacteristic
1343#121C23×C6111yescharacteristic
1344#121C23×C6111yescharacteristic
1345#121C23×C6111yescharacteristic
1346#121C23×C6111yescharacteristic
1347#121C23×C6111yescharacteristic
1348#121C23×C6111yescharacteristic
1349#121C23×C6111yescharacteristic
1350#121C23×C6111yescharacteristic
1351#120—21no—
1352#120—21no—
1353#120—21no—
1354#120—21no—
1355#120—21no—
1356#120—21no—
1357#120—21no—
1358#120—21no—
1359#120—21no—
1360#120—21no—
1361#120—21no—
1362#120—21no—
1363#120—21no—
1364#120—21no—
1365#120—21no—
1366#120D4×C6111yescharacteristic
1367#120D4×C6111yescharacteristic
1368C4×Q8C23×C6111yescharacteristic
1369C4×Q8C23×C6111yescharacteristic
1370C4×Q8C23×C6111yescharacteristic
1371C4×D4—21no—
1372C4×D4—21no—
1373C4×D4—21no—
1374C4×D4—21no—
1375C4×D4—21no—
1376C4×D4—21no—
1377C4×D4—21no—
1378C4×D4—21no—
1379C4×D4—21no—
1380C4×D4—21no—
1381C4×D4C23×C6111yescharacteristic
1382C4×D4C23×C6111yescharacteristic
1383C4×D4C23×C6111yescharacteristic
1384C4×D4C23×C6111yescharacteristic
1385C4×D4C23×C6111yescharacteristic
1386C4×D4C23×C6111yescharacteristic
1387C4×D4C23×C6111yescharacteristic
1388C4×D4C23×C6111yescharacteristic
1389C4×D4C23×C6111yescharacteristic
1390#117—21no—
1391#117—21no—
1392#117—21no—
1393#117C23×C6111yescharacteristic
1394#117C23×C6111yescharacteristic
1395#117C23×C6111yescharacteristic
1396C2×C4⋊C4—21no—
1397C2×C4⋊C4C23×C6111yescharacteristic
1398C2×C4⋊C4C23×C6111yescharacteristic
1399C2×C4⋊C4C23×C6111yescharacteristic
1400C2×C22⋊C4—21no—
1401C2×C22⋊C4—21no—
1402C2×C22⋊C4—21no—
1403C2×C22⋊C4—21no—
1404C2×C22⋊C4—21no—
1405C2×C22⋊C4—21no—
1406#107C23×C6111yescharacteristic
1407#107C23×C6111yescharacteristic
1408#107C23×C6111yescharacteristic
1409#107C23×C6111yescharacteristic
1410#107C23×C6111yescharacteristic
1411#107C23×C6111yescharacteristic
1412#106C23×C6111yescharacteristic
1413#106C23×C6111yescharacteristic
1414C4⋊C8C23×C6111yescharacteristic
1415C4⋊C8C23×C6111yescharacteristic
1416C4⋊C8C23×C6111yescharacteristic
1417C4⋊C8C23×C6111yescharacteristic
1418#103C23×C6111yescharacteristic
1419#103C23×C6111yescharacteristic
1420#103C23×C6111yescharacteristic
1421#103C23×C6111yescharacteristic
1422#103C23×C6111yescharacteristic
1423#103C23×C6111yescharacteristic
1424#103C23×C6111yescharacteristic
1425#103C23×C6111yescharacteristic
1426#103C23×C6111yescharacteristic
1427#103C23×C6111yescharacteristic
1428#102C23×C6111yescharacteristic
1429#102C23×C6111yescharacteristic
1430#102C23×C6111yescharacteristic
1431#102C23×C6111yescharacteristic
1432#102C23×C6111yescharacteristic
1433#102C23×C6111yescharacteristic
1434#102C23×C6111yescharacteristic
1435#102C23×C6111yescharacteristic
1436#102C23×C6111yescharacteristic
1437#102C23×C6111yescharacteristic
1438#102C23×C6111yescharacteristic
1439#102C23×C6111yescharacteristic
1440#102C23×C6111yescharacteristic
1441#102C23×C6111yescharacteristic
1442#102C23×C6111yescharacteristic
1443#102C23×C6111yescharacteristic
1444#102C23×C6111yescharacteristic
1445#102C23×C6111yescharacteristic
1446#102C23×C6111yescharacteristic
1447#102C23×C6111yescharacteristic
1448#102C23×C6111yescharacteristic
1449#102C23×C6111yescharacteristic
1450C22⋊C8C23×C6111yescharacteristic
1451C22⋊C8C23×C6111yescharacteristic
1452C22⋊C8C23×C6111yescharacteristic
1453C22⋊C8C23×C6111yescharacteristic
1454C22⋊C8C23×C6111yescharacteristic
1455C22⋊C8C23×C6111yescharacteristic
1456C22⋊C8C23×C6111yescharacteristic
1457C22⋊C8C23×C6111yescharacteristic
1458C22⋊C8C23×C6111yescharacteristic
1459C22⋊C8C23×C6111yescharacteristic
1460C22⋊C8C23×C6111yescharacteristic
1461C22⋊C8C23×C6111yescharacteristic
1462#97C23×C6111yescharacteristic
1463#97C23×C6111yescharacteristic
1464C4×C8C23×C6111yescharacteristic
1465C4×C8C23×C6111yescharacteristic
1466C24—21no—
1467C24—21no—
1468C24—21no—
1469C24—21no—
1470C24—21no—
1471C24—21no—
1472C24C2×D4×C6111yescharacteristic
1473#41—22no—
1474#41—22no—
1475#41—22no—
1476#41—22no—
1477#41—22no—
1478#41—22no—
1479#41—41no—
1480#41—41no—
1481#41—41no—
1482#41—41no—
1483#41—41no—
1484#41—41no—
1485#41—41no—
1486#41—41no—
1487#41—44no—
1488#41—44no—
1489#41—41no—
1490#41—41no—
1491#41—41no—
1492#41—41no—
1493#41—44no—
1494#41—82no—
1495C2×Q8—21no—
1496C2×Q8—21no—
1497C2×Q8—22no—
1498C2×Q8—41no—
1499C2×Q8C2×D4×C6111yescharacteristic
1500C2×Q8C24×C6111yescharacteristic
1501C2×Q8C24×C6111yescharacteristic
1502C2×Q8C24×C6111yescharacteristic
1503C2×D4—21no—
1504C2×D4—22no—
1505C2×D4—22no—
1506C2×D4—22no—
1507C2×D4—21no—
1508C2×D4—21no—
1509C2×D4—21no—
1510C2×D4—21no—
1511C2×D4—21no—
1512C2×D4—21no—
1513C2×D4—21no—
1514C2×D4—21no—
1515C2×D4—21no—
1516C2×D4—21no—
1517C2×D4—21no—
1518C2×D4—21no—
1519C2×D4—21no—
1520C2×D4—21no—
1521C2×D4—21no—
1522C2×D4—21no—
1523C2×D4—21no—
1524C2×D4—21no—
1525C2×D4—21no—
1526C2×D4—21no—
1527C2×D4—21no—
1528C2×D4—21no—
1529C2×D4—21no—
1530C2×D4—21no—
1531C2×D4—21no—
1532C2×D4—21no—
1533C2×D4—21no—
1534C2×D4—21no—
1535C2×D4—21no—
1536C2×D4—21no—
1537C2×D4—21no—
1538C2×D4—21no—
1539C2×D4—21no—
1540C2×D4—21no—
1541C2×D4—41no—
1542C2×D4—41no—
1543C2×D4—41no—
1544C2×D4—41no—
1545C2×D4—41no—
1546C2×D4—41no—
1547C2×D4—41no—
1548C2×D4—41no—
1549C2×D4—41no—
1550C2×D4—44no—
1551C2×D4—44no—
1552C2×D4—44no—
1553C2×D4—44no—
1554C2×D4—82no—
1555C2×D4—82no—
1556C2×D4—82no—
1557C2×D4—82no—
1558C2×D4—82no—
1559C2×D4C2×D4×C6111yescharacteristic
1560C2×D4C2×D4×C6111yescharacteristic
1561C2×D4C2×D4×C6111yescharacteristic
1562C2×D4C2×D4×C6111yescharacteristic
1563C2×D4C2×D4×C6111yescharacteristic
1564C2×D4C2×D4×C6111yescharacteristic
1565C2×D4C2×D4×C6111yescharacteristic
1566C2×D4C24×C6111yescharacteristic
1567C2×D4C24×C6111yescharacteristic
1568C2×D4C24×C6111yescharacteristic
1569C2×D4C24×C6111yescharacteristic
1570C2×D4C24×C6111yescharacteristic
1571C2×D4C24×C6111yescharacteristic
1572C2×D4C24×C6111yescharacteristic
1573C22×C4—21no—
1574C22×C4—21no—
1575C22×C4—21no—
1576C22×C4—21no—
1577C22×C4—21no—
1578C22×C4—21no—
1579C22×C4—21no—
1580C22×C4—21no—
1581C22×C4—21no—
1582C22×C4—21no—
1583C22×C4—21no—
1584C22×C4—21no—
1585C22×C4—21no—
1586C22×C4—21no—
1587C22×C4—21no—
1588C22×C4—21no—
1589C22×C4—21no—
1590C22×C4—41no—
1591C22×C4—41no—
1592C22×C4—44no—
1593C22×C4C2×D4×C6111yescharacteristic
1594C22×C4C2×D4×C6111yescharacteristic
1595C22×C4C2×D4×C6111yescharacteristic
1596C22×C4C24×C6111yescharacteristic
1597C22×C4C24×C6111yescharacteristic
1598C22×C4C24×C6111yescharacteristic
1599C22×C4C24×C6111yescharacteristic
1600C22×C4C24×C6111yescharacteristic
1601Q16—22no—
1602Q16—41no—
1603SD16—22no—
1604SD16—22no—
1605SD16—22no—
1606SD16—22no—
1607SD16—41no—
1608SD16—41no—
1609SD16—41no—
1610SD16—41no—
1611SD16—41no—
1612SD16—41no—
1613D8—22no—
1614D8—22no—
1615D8—22no—
1616D8—41no—
1617D8—41no—
1618D8—41no—
1619D8—41no—
1620D8—41no—
1621D8—41no—
1622D8—41no—
1623D8—41no—
1624D8—41no—
1625M16—41no—
1626M16—41no—
1627C2×C8—41no—
1628C2×C8—41no—
1629C2×C8—41no—
1630C2×C8—41no—
1631C2×C8—41no—
1632C2×C8—41no—
1633C2×C8C24×C6111yescharacteristic
1634C2×C8C24×C6111yescharacteristic
1635C2×C8C24×C6111yescharacteristic
1636C2×C8C24×C6111yescharacteristic
1637C2×C8C24×C6111yescharacteristic
1638C2×C8C24×C6111yescharacteristic
1639C2×C8C24×C6111yescharacteristic
1640C2×C8C24×C6111yescharacteristic
1641C4⋊C4—21no—
1642C4⋊C4—21no—
1643C4⋊C4—21no—
1644C4⋊C4—21no—
1645C4⋊C4—21no—
1646C4⋊C4—21no—
1647C4⋊C4—21no—
1648C4⋊C4—21no—
1649C4⋊C4—21no—
1650C4⋊C4—21no—
1651C4⋊C4—21no—
1652C4⋊C4—21no—
1653C4⋊C4—21no—
1654C4⋊C4—21no—
1655C4⋊C4C2×D4×C6111yescharacteristic
1656C4⋊C4C2×D4×C6111yescharacteristic
1657C4⋊C4C2×D4×C6111yescharacteristic
1658C4⋊C4C2×D4×C6111yescharacteristic
1659C4⋊C4C2×D4×C6111yescharacteristic
1660C4⋊C4C2×D4×C6111yescharacteristic
1661C4⋊C4C24×C6111yescharacteristic
1662C4⋊C4C24×C6111yescharacteristic
1663C4⋊C4C24×C6111yescharacteristic
1664C4⋊C4C24×C6111yescharacteristic
1665C4⋊C4C24×C6111yescharacteristic
1666C4⋊C4C24×C6111yescharacteristic
1667C22⋊C4—21no—
1668C22⋊C4—21no—
1669C22⋊C4—21no—
1670C22⋊C4—21no—
1671C22⋊C4—21no—
1672C22⋊C4—21no—
1673C22⋊C4—21no—
1674C22⋊C4—21no—
1675C22⋊C4—21no—
1676C22⋊C4—21no—
1677C22⋊C4—21no—
1678C22⋊C4—21no—
1679C22⋊C4—21no—
1680C22⋊C4—21no—
1681C22⋊C4—21no—
1682C22⋊C4—21no—
1683C22⋊C4—21no—
1684C22⋊C4—21no—
1685C22⋊C4—21no—
1686C22⋊C4—21no—
1687C22⋊C4—21no—
1688C22⋊C4—21no—
1689C22⋊C4—21no—
1690C22⋊C4—21no—
1691C22⋊C4—21no—
1692C22⋊C4—21no—
1693C22⋊C4—21no—
1694C22⋊C4—21no—
1695C22⋊C4—21no—
1696C22⋊C4—21no—
1697C22⋊C4—21no—
1698C22⋊C4—21no—
1699C22⋊C4—21no—
1700C22⋊C4C2×D4×C6111yescharacteristic
1701C22⋊C4C2×D4×C6111yescharacteristic
1702C22⋊C4C2×D4×C6111yescharacteristic
1703C22⋊C4C2×D4×C6111yescharacteristic
1704C22⋊C4C2×D4×C6111yescharacteristic
1705C22⋊C4C2×D4×C6111yescharacteristic
1706C22⋊C4C2×D4×C6111yescharacteristic
1707C22⋊C4C2×D4×C6111yescharacteristic
1708C22⋊C4C2×D4×C6111yescharacteristic
1709C22⋊C4C2×D4×C6111yescharacteristic
1710C42—21no—
1711C42—21no—
1712C42—21no—
1713C42—21no—
1714C42—21no—
1715C42C24×C6111yescharacteristic
1716C42C24×C6111yescharacteristic
1717C23—21no—
1718C23—22no—
1719C23—21no—
1720C23—21no—
1721C23—21no—
1722C23—21no—
1723C23—21no—
1724C23—21no—
1725C23—41no—
1726C23—41no—
1727C23—42no—
1728C23—42no—
1729C23—42no—
1730C23—42no—
1731C23—42no—
1732C23—42no—
1733C23—81no—
1734C23—81no—
1735C23—81no—
1736C23—81no—
1737C23—81no—
1738C23—81no—
1739C23—81no—
1740C23—81no—
1741C23—81no—
1742C23—81no—
1743C23—81no—
1744C23—81no—
1745C23C22×D4×C6111yescharacteristic
1746C23C22×D4×C6111yescharacteristic
1747C23C22×D4×C6111yescharacteristic
1748C23C22×D4×C6111yescharacteristic
1749C23C22×D4×C6111yescharacteristic
1750Q8—21no—
1751Q8—21no—
1752Q8—21no—
1753Q8—21no—
1754Q8—21no—
1755Q8—41no—
1756Q8—42no—
1757Q8—81no—
1758Q8H(5,𝔽2)×C6112yes—
1759D4—24no—
1760D4—22no—
1761D4—22no—
1762D4—21no—
1763D4—21no—
1764D4—21no—
1765D4—21no—
1766D4—21no—
1767D4—21no—
1768D4—21no—
1769D4—21no—
1770D4—21no—
1771D4—21no—
1772D4—21no—
1773D4—21no—
1774D4—21no—
1775D4—41no—
1776D4—41no—
1777D4—41no—
1778D4—41no—
1779D4—41no—
1780D4—42no—
1781D4—42no—
1782D4—42no—
1783D4—42no—
1784D4—42no—
1785D4—42no—
1786D4—42no—
1787D4—42no—
1788D4—42no—
1789D4—42no—
1790D4—42no—
1791D4—42no—
1792D4—81no—
1793D4—81no—
1794D4—81no—
1795D4—81no—
1796D4—81no—
1797D4—81no—
1798D4—81no—
1799D4—81no—
1800D4—81no—
1801D4—81no—
1802D4—81no—
1803D4—81no—
1804D4—81no—
1805D4—81no—
1806D4—81no—
1807D4—81no—
1808D4—81no—
1809D4—81no—
1810D4—81no—
1811D4—81no—
1812D4—81no—
1813D4—81no—
1814D4H(5,𝔽2)×C6112yes—
1815C2×C4—24no—
1816C2×C4—21no—
1817C2×C4—21no—
1818C2×C4—21no—
1819C2×C4—21no—
1820C2×C4—21no—
1821C2×C4—21no—
1822C2×C4—21no—
1823C2×C4—21no—
1824C2×C4—21no—
1825C2×C4—21no—
1826C2×C4—21no—
1827C2×C4—21no—
1828C2×C4—21no—
1829C2×C4—21no—
1830C2×C4—21no—
1831C2×C4—21no—
1832C2×C4—21no—
1833C2×C4—21no—
1834C2×C4—21no—
1835C2×C4—41no—
1836C2×C4—41no—
1837C2×C4—41no—
1838C2×C4—42no—
1839C2×C4—42no—
1840C2×C4—42no—
1841C2×C4—42no—
1842C2×C4—42no—
1843C2×C4—42no—
1844C2×C4—42no—
1845C2×C4—81no—
1846C2×C4—81no—
1847C2×C4—81no—
1848C2×C4—81no—
1849C2×C4—81no—
1850C2×C4—81no—
1851C2×C4—81no—
1852C2×C4—81no—
1853C2×C4—81no—
1854C2×C4C22×D4×C6111yescharacteristic
1855C2×C4C22×D4×C6111yescharacteristic
1856C2×C4C22×D4×C6111yescharacteristic
1857C2×C4C22×D4×C6111yescharacteristic
1858C2×C4C22×D4×C6111yescharacteristic
1859C2×C4C22×D4×C6111yescharacteristic
1860C2×C4C22×D4×C6111yescharacteristic
1861C2×C4C22×D4×C6111yescharacteristic
1862C2×C4C22×D4×C6111yescharacteristic
1863C2×C4C25×C6111yescharacteristic
1864C8—21no—
1865C8—21no—
1866C8—21no—
1867C8—21no—
1868C8—21no—
1869C8—21no—
1870C8—21no—
1871C8—21no—
1872C22—21no—
1873C22—21no—
1874C22—21no—
1875C22—21no—
1876C22—21no—
1877C22—21no—
1878C22—21no—
1879C22—21no—
1880C22—21no—
1881C22—21no—
1882C22—21no—
1883C22—22no—
1884C22—21no—
1885C22—21no—
1886C22—21no—
1887C22—41no—
1888C22—41no—
1889C22—41no—
1890C22—41no—
1891C22—41no—
1892C22—41no—
1893C22—41no—
1894C22—41no—
1895C22—41no—
1896C22—41no—
1897C22—41no—
1898C22—41no—
1899C22—41no—
1900C22—41no—
1901C22—41no—
1902C22—41no—
1903C22—41no—
1904C22—41no—
1905C22—41no—
1906C22—41no—
1907C22—82no—
1908C22—84no—
1909C22—162no—
1910C22—162no—
1911C22—162no—
1912C22—162no—
1913C22—162no—
1914C22C61×#57612yes—
1915C22C23×D4×C6111yescharacteristic
1916C4—21no—
1917C4—21no—
1918C4—21no—
1919C4—21no—
1920C4—21no—
1921C4—22no—
1922C4—21no—
1923C4—21no—
1924C4—21no—
1925C4—21no—
1926C4—41no—
1927C4—41no—
1928C4—41no—
1929C4—41no—
1930C4—41no—
1931C4—41no—
1932C4—41no—
1933C4—41no—
1934C4C2×H(5,𝔽2)×C6111yescharacteristic
1935C4C2×H(5,𝔽2)×C6111yescharacteristic
1936C2—22no—
1937C2—41no—
1938C2—41no—
1939C2—41no—
1940C2—41no—
1941C2—42no—
1942C2—81no—
1943C2—81no—
1944C2—81no—
1945C2—81no—
1946C2—81no—
1947C2—81no—
1948C2C61×#348411yescharacteristic
1949C2C2×C61×#57611yescharacteristic
1950C2C61×#358411yescharacteristic
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×#3488C2semidirect
3. C61×#3319C2semidirect
4. C61×#3310C2semidirect
5. C61×#3309C2semidirect
6. C61×#3308C2semidirect
7. C61×#3305C2semidirect
8. C61×#3300C2semidirect
9. C61×#3297C2semidirect
10. C61×#3294C2semidirect
11. C61×#3287C2semidirect
12. C61×#3282C2semidirect
13. C61×#3280C2semidirect
14. D4×D8×C61C2semidirect
15. C61×#3268C2semidirect
16. C61×#3268C2semidirect
17. C61×#3265C2semidirect
18. C61×#3264C2semidirect
19. C61×#3224C2semidirect
20. C61×#3220C2semidirect
21. C61×#3203C2semidirect
22. C61×#3198C2semidirect
23. C61×#3188C2semidirect
24. C61×#3186C2semidirect
25. C61×#3124C2semidirect
26. C61×#3119C2semidirect
27. C61×#3012C2semidirect
28. C61×#3008C2semidirect
29. C61×#3002C2semidirect
30. C2×C61×#449C2semidirect
31. C61×#2977C2semidirect
32. C2×H(5,𝔽2)×C61C22semidirect
33. C22×#41×C61C22semidirect
34. C2×AGL(1,ℤ/8)×C61C22semidirect
35. C2×AGL(1,ℤ/8)×C61C22semidirect
36. C2×#135×C61C22semidirect
37. C2×#135×C61C22semidirect
38. C2×#135×C61C22semidirect
39. C22×SD16×C61C22semidirect
40. C22×D8×C61C22semidirect
41. C22×D8×C61C22semidirect
44. C61×#555C22semidirect
45. C61×#553C22semidirect
46. C61×#552C22semidirect
48. C61×#550C22semidirect
49. C61×#550C22semidirect
50. C61×#550C22semidirect
52. C61×#548C22semidirect
53. C61×#547C22semidirect
57. C61×#546C22semidirect
58. C61×#546C22semidirect
59. C61×#546C22semidirect
60. C61×#546C22semidirect
64. D42×C61C22semidirect
65. D42×C61C22semidirect
66. C61×#542C22semidirect
68. C61×#540C22semidirect
71. C61×#537C22semidirect
72. C61×#537C22semidirect
75. C61×#535C22semidirect
76. C61×#535C22semidirect
80. C61×#525C22semidirect
82. C2×#121×C61C22semidirect
83. C2×#121×C61C22semidirect
84. C61×#520C22semidirect
85. C61×#496C22semidirect
86. C61×#496C22semidirect
87. C61×#495C22semidirect
88. C61×#493C22semidirect
89. C61×#490C22semidirect
90. C61×#489C22semidirect
91. C61×#488C22semidirect
92. C61×#486C22semidirect
93. C61×#485C22semidirect
94. C61×#484C22semidirect
95. C61×#484C22semidirect
96. C61×#482C22semidirect
97. C61×#482C22semidirect
98. C61×#482C22semidirect
99. C61×#481C22semidirect
100. C61×#480C22semidirect
101. C61×#480C22semidirect
102. C61×#480C22semidirect
103. C61×#480C22semidirect
104. C61×#480C22semidirect
105. C61×#479C22semidirect
106. C61×#478C22semidirect
107. C61×#477C22semidirect
108. C61×#474C22semidirect
109. C61×#469C22semidirect
110. C61×#468C22semidirect
111. C61×#468C22semidirect
112. C61×#468C22semidirect
113. C61×#467C22semidirect
114. C61×#466C22semidirect
115. C61×#466C22semidirect
116. C61×#466C22semidirect
117. C61×#466C22semidirect
118. C61×#466C22semidirect
119. C61×#466C22semidirect
120. C61×#466C22semidirect
121. C61×#466C22semidirect
122. C61×#465C22semidirect
123. C61×#465C22semidirect
124. C61×#465C22semidirect
125. C61×#464C22semidirect
126. C61×#464C22semidirect
127. C61×#463C22semidirect
128. C61×#463C22semidirect
129. C61×#463C22semidirect
130. C61×#463C22semidirect
131. C61×#460C22semidirect
132. C61×#460C22semidirect
133. C61×#459C22semidirect
134. C61×#459C22semidirect
135. C61×#459C22semidirect
136. C61×#459C22semidirect
137. C61×#452C22semidirect
138. C61×#452C22semidirect
139. C61×#452C22semidirect
140. C61×#452C22semidirect
141. C61×#451C22semidirect
142. C61×#450C22semidirect
143. C61×#450C22semidirect
144. C61×#450C22semidirect
145. C61×#450C22semidirect
147. C61×#449C22semidirect
148. C61×#449C22semidirect
149. C61×#449C22semidirect
150. C61×#449C22semidirect
151. C61×#449C22semidirect
152. C61×#449C22semidirect
153. C61×#449C22semidirect
154. C61×#449C22semidirect
155. C61×#449C22semidirect
156. C61×#449C22semidirect
157. C61×#449C22semidirect
158. C61×#449C22semidirect
159. C61×#449C22semidirect
160. C61×#449C22semidirect
161. C61×#449C22semidirect
162. C61×#448C22semidirect
163. C61×#447C22semidirect
164. C61×#447C22semidirect
165. C61×#447C22semidirect
166. C61×#447C22semidirect
167. C61×#447C22semidirect
168. C61×#447C22semidirect
169. C61×#447C22semidirect
170. C61×#447C22semidirect
171. C61×#447C22semidirect
172. C61×#447C22semidirect
173. C61×#442C22semidirect
174. C61×#440C22semidirect
175. C61×#440C22semidirect
176. C61×#440C22semidirect
177. C4×Q16×C61C22semidirect
178. C4×SD16×C61C22semidirect
179. C4×D8×C61C22semidirect
180. C4×D8×C61C22semidirect
181. C61×#435C22semidirect
182. C61×#435C22semidirect
183. C61×#435C22semidirect
184. C61×#435C22semidirect
185. C8×D4×C61C22semidirect
186. C8×D4×C61C22semidirect
187. C8×D4×C61C22semidirect
188. C8×D4×C61C22semidirect
189. C61×#433C22semidirect
190. C61×#433C22semidirect
191. C61×#418C22semidirect
192. C61×#417C22semidirect
193. C61×#416C22semidirect
194. C61×#416C22semidirect
195. C61×#416C22semidirect
196. C2×#103×C61C22semidirect
197. C2×#102×C61C22semidirect
198. C2×#102×C61C22semidirect
199. C61×#408C22semidirect
200. C61×#408C22semidirect
201. C2×C22⋊C8×C61C22semidirect
202. C2×C22⋊C8×C61C22semidirect
896. #61639C61direct (N × H)
961. #3542C2×C61semidirect
962. #3488C2×C61semidirect
963. #3319C2×C61semidirect
964. #3310C2×C61semidirect
965. #3309C2×C61semidirect
966. #3308C2×C61semidirect
967. #3305C2×C61semidirect
968. #3300C2×C61semidirect
969. #3297C2×C61semidirect
970. #3294C2×C61semidirect
971. #3287C2×C61semidirect
972. #3282C2×C61semidirect
973. #3280C2×C61semidirect
974. D4×D8C2×C61semidirect
975. #3268C2×C61semidirect
976. #3268C2×C61semidirect
977. #3265C2×C61semidirect
978. #3264C2×C61semidirect
979. #3224C2×C61semidirect
980. #3220C2×C61semidirect
981. #3203C2×C61semidirect
982. #3198C2×C61semidirect
983. #3188C2×C61semidirect
984. #3186C2×C61semidirect
985. #3124C2×C61semidirect
986. #3119C2×C61semidirect
987. #3012C2×C61semidirect
988. #3008C2×C61semidirect
989. #3002C2×C61semidirect
990. C2×#449C2×C61semidirect
991. #2977C2×C61semidirect
1007. C2×H(5,𝔽2)C22×C61semidirect
1008. C22×#41C22×C61semidirect
1009. C2×AGL(1,ℤ/8)C22×C61semidirect
1010. C2×AGL(1,ℤ/8)C22×C61semidirect
1011. C2×#135C22×C61semidirect
1012. C2×#135C22×C61semidirect
1013. C2×#135C22×C61semidirect
1014. C22×SD16C22×C61semidirect
1015. C22×D8C22×C61semidirect
1016. C22×D8C22×C61semidirect
1019. #555C22×C61semidirect
1020. #553C22×C61semidirect
1021. #552C22×C61semidirect
1023. #550C22×C61semidirect
1024. #550C22×C61semidirect
1025. #550C22×C61semidirect
1027. #548C22×C61semidirect
1028. #547C22×C61semidirect
1032. #546C22×C61semidirect
1033. #546C22×C61semidirect
1034. #546C22×C61semidirect
1035. #546C22×C61semidirect
1039. D42C22×C61semidirect
1040. D42C22×C61semidirect
1041. #542C22×C61semidirect
1043. #540C22×C61semidirect
1046. #537C22×C61semidirect
1047. #537C22×C61semidirect
1050. #535C22×C61semidirect
1051. #535C22×C61semidirect
1055. #525C22×C61semidirect
1057. C2×#121C22×C61semidirect
1058. C2×#121C22×C61semidirect
1059. #520C22×C61semidirect
1060. #496C22×C61semidirect
1061. #496C22×C61semidirect
1062. #495C22×C61semidirect
1063. #493C22×C61semidirect
1064. #490C22×C61semidirect
1065. #489C22×C61semidirect
1066. #488C22×C61semidirect
1067. #486C22×C61semidirect
1068. #485C22×C61semidirect
1069. #484C22×C61semidirect
1070. #484C22×C61semidirect
1071. #482C22×C61semidirect
1072. #482C22×C61semidirect
1073. #482C22×C61semidirect
1074. #481C22×C61semidirect
1075. #480C22×C61semidirect
1076. #480C22×C61semidirect
1077. #480C22×C61semidirect
1078. #480C22×C61semidirect
1079. #480C22×C61semidirect
1080. #479C22×C61semidirect
1081. #478C22×C61semidirect
1082. #477C22×C61semidirect
1083. #474C22×C61semidirect
1084. #469C22×C61semidirect
1085. #468C22×C61semidirect
1086. #468C22×C61semidirect
1087. #468C22×C61semidirect
1088. #467C22×C61semidirect
1089. #466C22×C61semidirect
1090. #466C22×C61semidirect
1091. #466C22×C61semidirect
1092. #466C22×C61semidirect
1093. #466C22×C61semidirect
1094. #466C22×C61semidirect
1095. #466C22×C61semidirect
1096. #466C22×C61semidirect
1097. #465C22×C61semidirect
1098. #465C22×C61semidirect
1099. #465C22×C61semidirect
1100. #464C22×C61semidirect
1101. #464C22×C61semidirect
1102. #463C22×C61semidirect
1103. #463C22×C61semidirect
1104. #463C22×C61semidirect
1105. #463C22×C61semidirect
1106. #460C22×C61semidirect
1107. #460C22×C61semidirect
1108. #459C22×C61semidirect
1109. #459C22×C61semidirect
1110. #459C22×C61semidirect
1111. #459C22×C61semidirect
1112. #452C22×C61semidirect
1113. #452C22×C61semidirect
1114. #452C22×C61semidirect
1115. #452C22×C61semidirect
1116. #451C22×C61semidirect
1117. #450C22×C61semidirect
1118. #450C22×C61semidirect
1119. #450C22×C61semidirect
1120. #450C22×C61semidirect
1122. #449C22×C61semidirect
1123. #449C22×C61semidirect
1124. #449C22×C61semidirect
1125. #449C22×C61semidirect
1126. #449C22×C61semidirect
1127. #449C22×C61semidirect
1128. #449C22×C61semidirect
1129. #449C22×C61semidirect
1130. #449C22×C61semidirect
1131. #449C22×C61semidirect
1132. #449C22×C61semidirect
1133. #449C22×C61semidirect
1134. #449C22×C61semidirect
1135. #449C22×C61semidirect
1136. #449C22×C61semidirect
1137. #448C22×C61semidirect
1138. #447C22×C61semidirect
1139. #447C22×C61semidirect
1140. #447C22×C61semidirect
1141. #447C22×C61semidirect
1142. #447C22×C61semidirect
1143. #447C22×C61semidirect
1144. #447C22×C61semidirect
1145. #447C22×C61semidirect
1146. #447C22×C61semidirect
1147. #447C22×C61semidirect
1148. #442C22×C61semidirect
1149. #440C22×C61semidirect
1150. #440C22×C61semidirect
1151. #440C22×C61semidirect
1152. C4×Q16C22×C61semidirect
1153. C4×SD16C22×C61semidirect
1154. C4×D8C22×C61semidirect
1155. C4×D8C22×C61semidirect
1156. #435C22×C61semidirect
1157. #435C22×C61semidirect
1158. #435C22×C61semidirect
1159. #435C22×C61semidirect
1160. C8×D4C22×C61semidirect
1161. C8×D4C22×C61semidirect
1162. C8×D4C22×C61semidirect
1163. C8×D4C22×C61semidirect
1164. #433C22×C61semidirect
1165. #433C22×C61semidirect
1166. #418C22×C61semidirect
1167. #417C22×C61semidirect
1168. #416C22×C61semidirect
1169. #416C22×C61semidirect
1170. #416C22×C61semidirect
1171. C2×#103C22×C61semidirect
1172. C2×#102C22×C61semidirect
1173. C2×#102C22×C61semidirect
1174. #408C22×C61semidirect
1175. #408C22×C61semidirect
1176. C2×C22⋊C8C22×C61semidirect
1177. C2×C22⋊C8C22×C61semidirect
1178. C61#61639direct (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×#34882
C61×#33192
C61×#33102
C61×#33092
C61×#33082
C61×#33052
C61×#33002
C61×#32972
C61×#32942
C61×#32872
C61×#32822
C61×#32802
D4×D8×C612
C61×#32682
C61×#32652
C61×#32642
C61×#32242
C61×#32202
C61×#32032
C61×#31982
C61×#31882
C61×#31862
C61×#31242
C61×#31192
C61×#30122
C61×#30082
C61×#30022
C2×C61×#4492
C61×#29772
#6163961