Finite Group Databasebeta

← C41×#62026 #23838227

Subgroups — C41×#62026 #23838227

Order 10496.

1850 conjugacy classes of subgroups.

The subgroup lattice has 1788 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C41×#3546C211yesmaximal, characteristic, complemented
2C41×#3524C211yesmaximal, characteristic, complemented
3C41×#3401C211yesmaximal, characteristic, complemented
4C41×#3399C211yesmaximal, characteristic, complemented
5C41×#3377C211yesmaximal, characteristic, complemented
6C41×#3368C211yesmaximal, characteristic, complemented
7C41×#3319C211yesmaximal, characteristic, complemented
8C41×#3318C211yesmaximal, characteristic, complemented
9C41×#3317C211yesmaximal, characteristic, complemented
10C41×#3307C211yesmaximal, characteristic, complemented
11C41×#3305C211yesmaximal, characteristic, complemented
12C41×#3296C211yesmaximal, characteristic, complemented
13C41×#3287C211yesmaximal, characteristic, complemented
14C41×#3282C211yesmaximal, characteristic, complemented
15C41×#3271C211yesmaximal, characteristic, complemented
16C41×#3269C211yesmaximal, characteristic, complemented
17C41×#3268C211yesmaximal, characteristic, complemented
18C41×#3265C211yesmaximal, characteristic, complemented
19C41×#3262C211yesmaximal, characteristic, complemented
20C41×#3257C211yesmaximal, characteristic, complemented
21C41×#3247C211yesmaximal, characteristic, complemented
22C41×#3224C211yesmaximal, characteristic, complemented
23C41×#3220C211yesmaximal, characteristic, complemented
24C41×#3219C211yesmaximal, characteristic, complemented
25C41×#3125C211yesmaximal, characteristic, complemented
26C41×#3121C211yesmaximal, characteristic, complemented
27C41×#3115C211yesmaximal, characteristic, complemented
28C41×#3045C211yesmaximal, characteristic, complemented
29C41×#3043C211yesmaximal, characteristic, complemented
30C41×#3035C211yesmaximal, characteristic, complemented
31C41×#2992C211yesmaximal, characteristic, complemented
32C2×#137×C41C2211yescharacteristic, complemented
33C2×AGL(1,ℤ/8)×C41C2211yescharacteristic
34C2×#135×C41C2211yescharacteristic, complemented
35C2×#135×C41C2211yescharacteristic, complemented
36C2×#135×C41C2211yescharacteristic, complemented
37C22×SD16×C41C2211yescharacteristic
38C41×#560—21no—
39C41×#560—21no—
40C41×#559—21no—
41C41×#559C2211yescharacteristic, complemented
42C41×#557C2211yescharacteristic, complemented
43C41×#556C2211yescharacteristic
44C41×#555—21no—
45C41×#555C2211yescharacteristic, complemented
46C41×#553—21no—
47C41×#553—21no—
48C41×#553C2211yescharacteristic
49C41×#552—21no—
50C41×#552C2211yescharacteristic, complemented
51C41×#550C2211yescharacteristic
52C41×#550C2211yescharacteristic
53C41×#550C2211yescharacteristic
54C41×#550C2211yescharacteristic, complemented
55C41×#548C2211yescharacteristic
56C41×#548C2211yescharacteristic, complemented
57C41×#547C2211yescharacteristic
58C41×#546—21no—
59C41×#546C2211yescharacteristic
60C41×#546C2211yescharacteristic
61D42×C41C2211yescharacteristic
62C41×#542—21no—
63C41×#542C2211yescharacteristic
64C41×#542C2211yescharacteristic
65C41×#542C2211yescharacteristic, complemented
66C41×#540—21no—
67C41×#540C2211yescharacteristic, complemented
68C41×#538—21no—
69C41×#538—21no—
70C41×#537—21no—
71C41×#535—21no—
72C41×#535C2211yescharacteristic
73C41×#535C2211yescharacteristic
74C41×#532C2211yescharacteristic
75C41×#532C2211yescharacteristic
76C41×#529—21no—
77C41×#529—21no—
78C41×#529C2211yescharacteristic
79C41×#529C2211yescharacteristic, complemented
80C41×#520C2211yescharacteristic, complemented
81C41×#519C2211yescharacteristic, complemented
82C4×#41×C41C2211yescharacteristic, complemented
83C41×#497C2211yescharacteristic, complemented
84C41×#496C2211yescharacteristic
85C41×#496C2211yescharacteristic
86C41×#496C2211yescharacteristic, complemented
87C41×#495C2211yescharacteristic
88C41×#493C2211yescharacteristic, complemented
89C41×#491C2211yescharacteristic, complemented
90C41×#490C2211yescharacteristic
91C41×#490C2211yescharacteristic, complemented
92C41×#489C2211yescharacteristic
93C41×#488C2211yescharacteristic
94C41×#486C2211yescharacteristic, complemented
95C41×#485C2211yescharacteristic, complemented
96C41×#483C2211yescharacteristic, complemented
97C41×#482C2211yescharacteristic
98C41×#482C2211yescharacteristic
99C41×#482C2211yescharacteristic, complemented
100C41×#481C2211yescharacteristic
101C41×#479C2211yescharacteristic, complemented
102C41×#478C2211yescharacteristic
103C41×#478C2211yescharacteristic, complemented
104C41×#478C2211yescharacteristic, complemented
105C41×#477C2211yescharacteristic, complemented
106C41×#477C2211yescharacteristic, complemented
107C41×#476C2211yescharacteristic, complemented
108C41×#475C2211yescharacteristic, complemented
109C41×#474C2211yescharacteristic, complemented
110C41×#474C2211yescharacteristic, complemented
111C41×#469C2211yescharacteristic
112C41×#468C2211yescharacteristic
113C41×#468C2211yescharacteristic, complemented
114C41×#468C2211yescharacteristic, complemented
115C41×#467C2211yescharacteristic, complemented
116C41×#466C2211yescharacteristic
117C41×#466C2211yescharacteristic
118C41×#466C2211yescharacteristic
119C41×#466C2211yescharacteristic, complemented
120C41×#465C2211yescharacteristic
121C41×#465C2211yescharacteristic, complemented
122C41×#465C2211yescharacteristic, complemented
123C41×#464C2211yescharacteristic
124C41×#464C2211yescharacteristic
125C41×#464C2211yescharacteristic
126C41×#464C2211yescharacteristic, complemented
127C41×#464C2211yescharacteristic, complemented
128C41×#464C2211yescharacteristic, complemented
129C41×#464C2211yescharacteristic, complemented
130C41×#464C2211yescharacteristic, complemented
131C41×#463C2211yescharacteristic
132C41×#463C2211yescharacteristic
133C41×#463C2211yescharacteristic, complemented
134C41×#463C2211yescharacteristic, complemented
135C41×#463C2211yescharacteristic, complemented
136C41×#463C2211yescharacteristic, complemented
137C41×#463C2211yescharacteristic, complemented
138C41×#463C2211yescharacteristic, complemented
139C41×#462C2211yescharacteristic, complemented
140C41×#461C2211yescharacteristic, complemented
141C41×#460C2211yescharacteristic
142C41×#460C2211yescharacteristic
143C41×#460C2211yescharacteristic
144C41×#460C2211yescharacteristic, complemented
145C41×#460C2211yescharacteristic, complemented
146C41×#460C2211yescharacteristic, complemented
147C41×#460C2211yescharacteristic, complemented
148C41×#459C2211yescharacteristic
149C41×#459C2211yescharacteristic
150C41×#459C2211yescharacteristic
151C41×#459C2211yescharacteristic, complemented
152C41×#459C2211yescharacteristic, complemented
153C41×#452C2211yescharacteristic, complemented
154C41×#452C2211yescharacteristic, complemented
155C41×#452C2211yescharacteristic, complemented
156C41×#452C2211yescharacteristic, complemented
157C41×#451C2211yescharacteristic, complemented
158C41×#450C2211yescharacteristic
159C41×#449C2211yescharacteristic
160C41×#449C2211yescharacteristic
161C41×#449C2211yescharacteristic, complemented
162C41×#449C2211yescharacteristic, complemented
163C41×#449C2211yescharacteristic, complemented
164C41×#449C2211yescharacteristic, complemented
165C41×#449C2211yescharacteristic, complemented
166C41×#449C2211yescharacteristic, complemented
167C41×#448C2211yescharacteristic
168C41×#447C2211yescharacteristic
169C41×#447C2211yescharacteristic
170C41×#447C2211yescharacteristic
171C41×#446C2211yescharacteristic, complemented
172C41×#446C2211yescharacteristic, complemented
173C41×#442C2211yescharacteristic
174C41×#442C2211yescharacteristic, complemented
175C41×#442C2211yescharacteristic, complemented
176C41×#441C2211yescharacteristic, complemented
177C41×#441C2211yescharacteristic, complemented
178C41×#440C2211yescharacteristic
179C41×#440C2211yescharacteristic, complemented
180C41×#440C2211yescharacteristic, complemented
181C4×Q16×C41C2211yescharacteristic, complemented
182C4×SD16×C41C2211yescharacteristic, complemented
183C4×SD16×C41C2211yescharacteristic, complemented
184C4×SD16×C41C2211yescharacteristic, complemented
185C41×#435C2211yescharacteristic
186C41×#435C2211yescharacteristic
187C41×#435C2211yescharacteristic, complemented
188C41×#435C2211yescharacteristic, complemented
189C8×D4×C41C2211yescharacteristic, complemented
190C8×D4×C41C2211yescharacteristic, complemented
191C41×#433C2211yescharacteristic, complemented
192C41×#433C2211yescharacteristic, complemented
193C41×#432C2211yescharacteristic, complemented
194C41×#424C2211yescharacteristic, complemented
195C41×#424C2211yescharacteristic, complemented
196C2×C4⋊C8×C41C2211yescharacteristic, complemented
197C41×#418C2211yescharacteristic
198C41×#417C2211yescharacteristic, complemented
199C41×#416C2211yescharacteristic, complemented
200C41×#416C2211yescharacteristic, complemented
201C41×#416C2211yescharacteristic, complemented
202C2×#102×C41C2211yescharacteristic
203C2×#41×C41—21no—
204C2×#41×C41—21no—
205C2×#41×C41C2311yescharacteristic
206C2×#41×C41C2311yescharacteristic
207C2×#41×C41C2311yescharacteristic
208C2×#41×C41C2311yescharacteristic
209C2×#41×C41C2311yescharacteristic
210C2×#41×C41C2311yescharacteristic
211C22×Q8×C41C2311yescharacteristic
212C22×D4×C41—21no—
213C22×D4×C41C2311yescharacteristic
214C22×D4×C41C2311yescharacteristic
215#137×C41—42no—
216AGL(1,ℤ/8)×C41—42no—
217#135×C41—42no—
218#135×C41—42no—
219#135×C41—42no—
220C2×Q16×C41C2311yescharacteristic
221C2×Q16×C41C2311yescharacteristic
222C2×Q16×C41C2311yescharacteristic
223C2×Q16×C41C2311yescharacteristic
224C2×SD16×C41—42no—
225C2×SD16×C41C2311yescharacteristic
226C2×SD16×C41C2311yescharacteristic
227C2×SD16×C41C2311yescharacteristic
228C2×SD16×C41C2311yescharacteristic
229C2×SD16×C41C2311yescharacteristic
230C2×SD16×C41C2311yescharacteristic
231C2×SD16×C41C2311yescharacteristic
232C2×SD16×C41C2311yescharacteristic
233C2×SD16×C41C2311yescharacteristic
234C2×SD16×C41C2311yescharacteristic
235C2×SD16×C41C2311yescharacteristic
236C2×SD16×C41C2311yescharacteristic
237C2×D8×C41C2311yescharacteristic
238C2×D8×C41C2311yescharacteristic
239C2×D8×C41C2311yescharacteristic
240C2×D8×C41C2311yescharacteristic
241C2×D8×C41C2311yescharacteristic
242C2×D8×C41C2311yescharacteristic
243C2×D8×C41C2311yescharacteristic
244C2×D8×C41C2311yescharacteristic
245C2×M16×C41C2311yescharacteristic
246C2×M16×C41C2311yescharacteristic
247C22×C8×C41C2311yescharacteristic
248C22×C8×C41C2311yescharacteristic
249C22×C8×C41C2311yescharacteristic
250C22×C8×C41C2311yescharacteristic
251C4⋊Q8×C41—21no—
252C4⋊Q8×C41C2311yescharacteristic
253C4⋊Q8×C41C2311yescharacteristic
254C4⋊Q8×C41C2311yescharacteristic
255#127×C41—21no—
256#127×C41—21no—
257#127×C41—21no—
258#127×C41C2311yescharacteristic
259#127×C41C2311yescharacteristic
260#127×C41C2311yescharacteristic
261#127×C41C2311yescharacteristic
262#127×C41C2311yescharacteristic
263#126×C41—21no—
264#126×C41—21no—
265#126×C41—21no—
266#126×C41—21no—
267#126×C41—21no—
268#126×C41—21no—
269#126×C41—21no—
270#126×C41—21no—
271#126×C41D411yescharacteristic
272#126×C41D411yescharacteristic
273#125×C41—21no—
274#125×C41—21no—
275#125×C41—21no—
276#125×C41D411yescharacteristic
277#125×C41C2311yescharacteristic
278#125×C41C2311yescharacteristic
279#124×C41—21no—
280#124×C41—21no—
281#124×C41—21no—
282#124×C41—21no—
283#124×C41—21no—
284#124×C41—21no—
285#124×C41—21no—
286#124×C41—21no—
287#124×C41—21no—
288#124×C41D411yescharacteristic
289#124×C41C2311yescharacteristic
290#124×C41C2311yescharacteristic
291#124×C41C2311yescharacteristic
292#124×C41C2311yescharacteristic
293#124×C41C2311yescharacteristic
294#124×C41C2311yescharacteristic
295#123×C41—21no—
296#123×C41—21no—
297#123×C41—21no—
298#123×C41—21no—
299#123×C41—21no—
300#123×C41—21no—
301#123×C41—21no—
302#123×C41—21no—
303#123×C41—21no—
304#123×C41—21no—
305#123×C41—21no—
306#123×C41—21no—
307#123×C41—21no—
308#123×C41—21no—
309#123×C41D411yescharacteristic
310#123×C41D411yescharacteristic
311C22⋊Q8×C41—21no—
312C22⋊Q8×C41—21no—
313C22⋊Q8×C41—21no—
314C22⋊Q8×C41—21no—
315C22⋊Q8×C41—21no—
316C22⋊Q8×C41—21no—
317C22⋊Q8×C41D411yescharacteristic
318C22⋊Q8×C41C2311yescharacteristic
319C22⋊Q8×C41C2311yescharacteristic
320C22⋊Q8×C41C2311yescharacteristic
321C22⋊Q8×C41C2311yescharacteristic
322#121×C41—21no—
323#121×C41—21no—
324#121×C41—21no—
325#121×C41—21no—
326#121×C41—21no—
327#121×C41—21no—
328#121×C41—21no—
329#121×C41—21no—
330#121×C41—21no—
331#121×C41—21no—
332#121×C41—21no—
333#121×C41—21no—
334#121×C41—21no—
335#121×C41—21no—
336#121×C41—21no—
337#121×C41—21no—
338#121×C41—21no—
339#121×C41—21no—
340#121×C41—21no—
341#121×C41—21no—
342#121×C41—21no—
343#121×C41—21no—
344#121×C41—21no—
345#121×C41—21no—
346#121×C41—21no—
347#121×C41—21no—
348#121×C41D411yescharacteristic
349#121×C41C2311yescharacteristic
350#121×C41C2311yescharacteristic
351#121×C41C2311yescharacteristic
352#121×C41C2311yescharacteristic
353#121×C41C2311yescharacteristic
354#121×C41C2311yescharacteristic
355#121×C41C2311yescharacteristic
356#121×C41C2311yescharacteristic
357#120×C41—21no—
358#120×C41—21no—
359#120×C41—21no—
360#120×C41—21no—
361#120×C41—21no—
362#120×C41—21no—
363#120×C41—21no—
364#120×C41—21no—
365C4×Q8×C41—21no—
366C4×Q8×C41—21no—
367C4×Q8×C41—21no—
368C4×Q8×C41C2311yescharacteristic
369C4×Q8×C41C2311yescharacteristic
370C4×Q8×C41C2311yescharacteristic
371C4×Q8×C41C2311yescharacteristic
372C4×Q8×C41C2311yescharacteristic
373C4×Q8×C41C2311yescharacteristic
374C4×Q8×C41C2311yescharacteristic
375C4×Q8×C41C2311yescharacteristic
376C4×Q8×C41C2311yescharacteristic
377C4×D4×C41—21no—
378C4×D4×C41—21no—
379C4×D4×C41—21no—
380C4×D4×C41—21no—
381C4×D4×C41—21no—
382C4×D4×C41—21no—
383C4×D4×C41—21no—
384C4×D4×C41—21no—
385C4×D4×C41—21no—
386C4×D4×C41—21no—
387C4×D4×C41—21no—
388C4×D4×C41—21no—
389C4×D4×C41—21no—
390C4×D4×C41—21no—
391C4×D4×C41—21no—
392C4×D4×C41C2311yescharacteristic
393C4×D4×C41C2311yescharacteristic
394C4×D4×C41C2311yescharacteristic
395C4×D4×C41C2311yescharacteristic
396C4×D4×C41C2311yescharacteristic
397C4×D4×C41C2311yescharacteristic
398C4×D4×C41C2311yescharacteristic
399C4×D4×C41C2311yescharacteristic
400C4×D4×C41C2311yescharacteristic
401C4×D4×C41C2311yescharacteristic
402C4×D4×C41C2311yescharacteristic
403#117×C41—21no—
404#117×C41—21no—
405#117×C41—21no—
406#117×C41—21no—
407#117×C41—21no—
408#117×C41—21no—
409#117×C41—21no—
410#117×C41—21no—
411#117×C41C2311yescharacteristic
412#117×C41C2311yescharacteristic
413#117×C41C2311yescharacteristic
414#117×C41C2311yescharacteristic
415C2×C4⋊C4×C41—21no—
416C2×C4⋊C4×C41—21no—
417C2×C4⋊C4×C41C2311yescharacteristic
418C2×C22⋊C4×C41—21no—
419C2×C22⋊C4×C41—21no—
420C2×C42×C41—21no—
421C2×C42×C41C2311yescharacteristic
422#107×C41C2311yescharacteristic
423#107×C41C2311yescharacteristic
424#107×C41C2311yescharacteristic
425#107×C41C2311yescharacteristic
426#106×C41C2311yescharacteristic
427#106×C41C2311yescharacteristic
428#106×C41C2311yescharacteristic
429#106×C41C2311yescharacteristic
430C4⋊C8×C41C2311yescharacteristic
431C4⋊C8×C41C2311yescharacteristic
432C4⋊C8×C41C2311yescharacteristic
433C4⋊C8×C41C2311yescharacteristic
434C4⋊C8×C41C2311yescharacteristic
435C4⋊C8×C41C2311yescharacteristic
436C4⋊C8×C41C2311yescharacteristic
437C4⋊C8×C41C2311yescharacteristic
438C4⋊C8×C41C2311yescharacteristic
439C4⋊C8×C41C2311yescharacteristic
440#103×C41C2311yescharacteristic
441#103×C41C2311yescharacteristic
442#103×C41C2311yescharacteristic
443#103×C41C2311yescharacteristic
444#103×C41C2311yescharacteristic
445#103×C41C2311yescharacteristic
446#103×C41C2311yescharacteristic
447#103×C41C2311yescharacteristic
448#103×C41C2311yescharacteristic
449#103×C41C2311yescharacteristic
450#103×C41C2311yescharacteristic
451#103×C41C2311yescharacteristic
452#102×C41C2311yescharacteristic
453#102×C41C2311yescharacteristic
454#102×C41C2311yescharacteristic
455#102×C41C2311yescharacteristic
456#102×C41C2311yescharacteristic
457#102×C41C2311yescharacteristic
458#102×C41C2311yescharacteristic
459#102×C41C2311yescharacteristic
460#102×C41C2311yescharacteristic
461#102×C41C2311yescharacteristic
462#102×C41C2311yescharacteristic
463#102×C41C2311yescharacteristic
464#102×C41C2311yescharacteristic
465#102×C41C2311yescharacteristic
466#102×C41C2311yescharacteristic
467#102×C41C2311yescharacteristic
468#102×C41C2311yescharacteristic
469#102×C41C2311yescharacteristic
470#102×C41C2311yescharacteristic
471#102×C41C2311yescharacteristic
472C22⋊C8×C41C2311yescharacteristic
473C22⋊C8×C41C2311yescharacteristic
474C22⋊C8×C41C2311yescharacteristic
475C22⋊C8×C41C2311yescharacteristic
476C22⋊C8×C41C2311yescharacteristic
477C22⋊C8×C41C2311yescharacteristic
478#97×C41C2311yescharacteristic
479#97×C41C2311yescharacteristic
480#97×C41C2311yescharacteristic
481#97×C41C2311yescharacteristic
482C4×C8×C41C2311yescharacteristic
483C4×C8×C41C2311yescharacteristic
484C24×C41—21no—
485C24×C41—21no—
486#41×C41—22no—
487#41×C41—22no—
488#41×C41—41no—
489#41×C41—41no—
490#41×C41—41no—
491#41×C41—41no—
492#41×C41—41no—
493#41×C41—41no—
494#41×C41—41no—
495#41×C41—41no—
496#41×C41—41no—
497#41×C41—41no—
498#41×C41—82no—
499#41×C41—82no—
500C2×Q8×C41—21no—
501C2×Q8×C41—21no—
502C2×Q8×C41—21no—
503C2×Q8×C41—22no—
504C2×Q8×C41—41no—
505C2×Q8×C41C2×D411yescharacteristic
506C2×Q8×C41C2411yescharacteristic
507C2×Q8×C41C2411yescharacteristic
508C2×Q8×C41C2411yescharacteristic
509C2×Q8×C41C2411yescharacteristic
510C2×D4×C41—21no—
511C2×D4×C41—21no—
512C2×D4×C41—21no—
513C2×D4×C41—21no—
514C2×D4×C41—21no—
515C2×D4×C41—21no—
516C2×D4×C41—21no—
517C2×D4×C41—21no—
518C2×D4×C41—21no—
519C2×D4×C41—21no—
520C2×D4×C41—21no—
521C2×D4×C41—21no—
522C2×D4×C41—21no—
523C2×D4×C41—21no—
524C2×D4×C41—21no—
525C2×D4×C41—21no—
526C2×D4×C41—21no—
527C2×D4×C41—21no—
528C2×D4×C41—21no—
529C2×D4×C41—21no—
530C2×D4×C41—21no—
531C2×D4×C41—21no—
532C2×D4×C41—21no—
533C2×D4×C41—21no—
534C2×D4×C41—21no—
535C2×D4×C41—21no—
536C2×D4×C41—41no—
537C2×D4×C41—41no—
538C2×D4×C41—41no—
539C2×D4×C41—41no—
540C2×D4×C41—82no—
541C2×D4×C41C2×D411yescharacteristic
542C2×D4×C41C2×D411yescharacteristic
543C2×D4×C41C2×D411yescharacteristic
544C2×D4×C41C2411yescharacteristic
545C2×D4×C41C2411yescharacteristic
546C2×D4×C41C2411yescharacteristic
547C2×D4×C41C2411yescharacteristic
548C2×D4×C41C2411yescharacteristic
549C2×D4×C41C2411yescharacteristic
550C22×C4×C41—21no—
551C22×C4×C41—21no—
552C22×C4×C41—21no—
553C22×C4×C41—21no—
554C22×C4×C41—21no—
555C22×C4×C41—21no—
556C22×C4×C41—21no—
557C22×C4×C41—21no—
558C22×C4×C41—21no—
559C22×C4×C41—21no—
560C22×C4×C41—21no—
561C22×C4×C41—21no—
562C22×C4×C41—21no—
563C22×C4×C41—21no—
564C22×C4×C41—21no—
565C22×C4×C41—21no—
566C22×C4×C41C2×D411yescharacteristic
567C22×C4×C41C2×D411yescharacteristic
568C22×C4×C41C2411yescharacteristic
569C22×C4×C41C2411yescharacteristic
570C22×C4×C41C2411yescharacteristic
571Q16×C41—22no—
572Q16×C41—22no—
573Q16×C41—41no—
574Q16×C41—41no—
575SD16×C41—22no—
576SD16×C41—22no—
577SD16×C41—22no—
578SD16×C41—22no—
579SD16×C41—41no—
580SD16×C41—41no—
581SD16×C41—41no—
582SD16×C41—41no—
583SD16×C41—41no—
584SD16×C41—41no—
585SD16×C41—41no—
586SD16×C41—41no—
587D8×C41—41no—
588D8×C41—41no—
589D8×C41—41no—
590D8×C41—41no—
591D8×C41—41no—
592D8×C41—41no—
593D8×C41—41no—
594D8×C41—41no—
595M16×C41—41no—
596M16×C41—41no—
597C2×C8×C41—41no—
598C2×C8×C41—41no—
599C2×C8×C41—41no—
600C2×C8×C41—41no—
601C2×C8×C41C2411yescharacteristic
602C2×C8×C41C2411yescharacteristic
603C2×C8×C41C2411yescharacteristic
604C2×C8×C41C2411yescharacteristic
605C2×C8×C41C2411yescharacteristic
606C2×C8×C41C2411yescharacteristic
607C2×C8×C41C2411yescharacteristic
608C2×C8×C41C2411yescharacteristic
609C4⋊C4×C41—21no—
610C4⋊C4×C41—21no—
611C4⋊C4×C41—21no—
612C4⋊C4×C41—21no—
613C4⋊C4×C41—21no—
614C4⋊C4×C41—21no—
615C4⋊C4×C41—21no—
616C4⋊C4×C41—21no—
617C4⋊C4×C41—21no—
618C4⋊C4×C41—21no—
619C4⋊C4×C41—21no—
620C4⋊C4×C41—21no—
621C4⋊C4×C41—21no—
622C4⋊C4×C41—21no—
623C4⋊C4×C41—21no—
624C4⋊C4×C41—21no—
625C4⋊C4×C41—21no—
626C4⋊C4×C41—21no—
627C4⋊C4×C41—21no—
628C4⋊C4×C41—21no—
629C4⋊C4×C41—21no—
630C4⋊C4×C41C2×D411yescharacteristic
631C4⋊C4×C41C2×D411yescharacteristic
632C4⋊C4×C41C2×D411yescharacteristic
633C4⋊C4×C41C2×D411yescharacteristic
634C4⋊C4×C41C2×D411yescharacteristic
635C4⋊C4×C41C2×D411yescharacteristic
636C4⋊C4×C41C2×D411yescharacteristic
637C4⋊C4×C41C2×D411yescharacteristic
638C4⋊C4×C41C2×D411yescharacteristic
639C4⋊C4×C41C2×D411yescharacteristic
640C4⋊C4×C41C2411yescharacteristic
641C4⋊C4×C41C2411yescharacteristic
642C4⋊C4×C41C2411yescharacteristic
643C4⋊C4×C41C2411yescharacteristic
644C4⋊C4×C41C2411yescharacteristic
645C4⋊C4×C41C2411yescharacteristic
646C22⋊C4×C41—21no—
647C22⋊C4×C41—21no—
648C22⋊C4×C41—21no—
649C22⋊C4×C41—21no—
650C22⋊C4×C41—21no—
651C22⋊C4×C41—21no—
652C22⋊C4×C41—21no—
653C22⋊C4×C41—21no—
654C22⋊C4×C41—21no—
655C22⋊C4×C41—21no—
656C22⋊C4×C41—21no—
657C22⋊C4×C41—21no—
658C22⋊C4×C41—21no—
659C22⋊C4×C41—21no—
660C22⋊C4×C41—21no—
661C22⋊C4×C41—21no—
662C22⋊C4×C41—21no—
663C22⋊C4×C41—21no—
664C22⋊C4×C41—21no—
665C22⋊C4×C41—21no—
666C22⋊C4×C41—21no—
667C22⋊C4×C41—21no—
668C22⋊C4×C41—21no—
669C22⋊C4×C41—21no—
670C22⋊C4×C41—21no—
671C22⋊C4×C41—21no—
672C22⋊C4×C41—21no—
673C22⋊C4×C41—21no—
674C22⋊C4×C41—21no—
675C22⋊C4×C41—21no—
676C22⋊C4×C41—21no—
677C22⋊C4×C41—21no—
678C22⋊C4×C41—21no—
679C22⋊C4×C41—21no—
680C22⋊C4×C41C2×D411yescharacteristic
681C22⋊C4×C41C2×D411yescharacteristic
682C22⋊C4×C41C2×D411yescharacteristic
683C22⋊C4×C41C2×D411yescharacteristic
684C22⋊C4×C41C2×D411yescharacteristic
685C22⋊C4×C41C2×D411yescharacteristic
686C22⋊C4×C41C2×D411yescharacteristic
687C22⋊C4×C41C2×D411yescharacteristic
688C22⋊C4×C41C2×D411yescharacteristic
689C22⋊C4×C41C2×D411yescharacteristic
690C42×C41—21no—
691C42×C41—21no—
692C42×C41—21no—
693C42×C41—21no—
694C42×C41—21no—
695C42×C41—21no—
696C42×C41—21no—
697C42×C41—21no—
698C42×C41—21no—
699C42×C41—21no—
700C42×C41C2×D411yescharacteristic
701C42×C41C2×D411yescharacteristic
702C42×C41C2411yescharacteristic
703C42×C41C2411yescharacteristic
704C42×C41C2411yescharacteristic
705C42×C41C2411yescharacteristic
706C23×C41—21no—
707C23×C41—21no—
708C23×C41—21no—
709C23×C41—21no—
710C23×C41—21no—
711C23×C41—21no—
712C23×C41—81no—
713C23×C41—81no—
714C23×C41—81no—
715C23×C41—81no—
716C23×C41—81no—
717C23×C41—81no—
718C23×C41C22×D411yescharacteristic
719C23×C41C22×D411yescharacteristic
720C23×C41C22×D411yescharacteristic
721Q8×C41—21no—
722Q8×C41—21no—
723Q8×C41—21no—
724Q8×C41—21no—
725Q8×C41—21no—
726Q8×C41—21no—
727Q8×C41—21no—
728Q8×C41—41no—
729Q8×C41—42no—
730Q8×C41—81no—
731Q8×C41—81no—
732Q8×C41H(5,𝔽2)12yes—
733D4×C41—21no—
734D4×C41—21no—
735D4×C41—21no—
736D4×C41—21no—
737D4×C41—21no—
738D4×C41—21no—
739D4×C41—21no—
740D4×C41—21no—
741D4×C41—21no—
742D4×C41—21no—
743D4×C41—21no—
744D4×C41—21no—
745D4×C41—41no—
746D4×C41—41no—
747D4×C41—41no—
748D4×C41—42no—
749D4×C41—42no—
750D4×C41—42no—
751D4×C41—81no—
752D4×C41—81no—
753D4×C41—81no—
754D4×C41—81no—
755D4×C41—81no—
756D4×C41—81no—
757D4×C41—81no—
758D4×C41—81no—
759D4×C41—81no—
760D4×C41—81no—
761D4×C41—81no—
762D4×C41—81no—
763D4×C41—81no—
764D4×C41—81no—
765D4×C41—81no—
766D4×C41—81no—
767D4×C41—81no—
768D4×C41—81no—
769D4×C41—81no—
770D4×C41—81no—
771D4×C41—81no—
772D4×C41—81no—
773D4×C41—81no—
774C2×C4×C41—21no—
775C2×C4×C41—21no—
776C2×C4×C41—21no—
777C2×C4×C41—21no—
778C2×C4×C41—21no—
779C2×C4×C41—21no—
780C2×C4×C41—21no—
781C2×C4×C41—21no—
782C2×C4×C41—21no—
783C2×C4×C41—21no—
784C2×C4×C41—21no—
785C2×C4×C41—21no—
786C2×C4×C41—21no—
787C2×C4×C41—21no—
788C2×C4×C41—21no—
789C2×C4×C41—21no—
790C2×C4×C41—41no—
791C2×C4×C41—41no—
792C2×C4×C41—42no—
793C2×C4×C41—42no—
794C2×C4×C41—42no—
795C2×C4×C41—42no—
796C2×C4×C41—42no—
797C2×C4×C41—81no—
798C2×C4×C41—81no—
799C2×C4×C41—81no—
800C2×C4×C41—81no—
801C2×C4×C41—81no—
802C2×C4×C41—81no—
803C2×C4×C41—81no—
804C2×C4×C41—81no—
805C2×C4×C41—81no—
806C2×C4×C41—81no—
807C2×C4×C41—81no—
808C2×C4×C41C22×D411yescharacteristic
809C2×C4×C41C22×D411yescharacteristic
810C2×C4×C41C22×D411yescharacteristic
811C2×C4×C41C22×D411yescharacteristic
812C2×C4×C41C22×D411yescharacteristic
813C2×C4×C41C22×D411yescharacteristic
814C2×C4×C41C22×D411yescharacteristic
815C2×C4×C41C22×D411yescharacteristic
816C2×C4×C41C22×D411yescharacteristic
817C2×C4×C41C22×D411yescharacteristic
818C2×C4×C41C22×D411yescharacteristic
819C2×C4×C41C2511yescharacteristic
820C8×C41—21no—
821C8×C41—21no—
822C8×C41—21no—
823C8×C41—21no—
824C8×C41—21no—
825C8×C41—21no—
826C8×C41—21no—
827C8×C41—21no—
828#62026C4111yesmaximal, characteristic, direct product factor, Sylow
829C22×C41—21no—
830C22×C41—21no—
831C22×C41—21no—
832C22×C41—21no—
833C22×C41—21no—
834C22×C41—21no—
835C22×C41—21no—
836C22×C41—21no—
837C22×C41—21no—
838C22×C41—41no—
839C22×C41—41no—
840C22×C41—41no—
841C22×C41—41no—
842C22×C41—41no—
843C22×C41—41no—
844C22×C41—41no—
845C22×C41—41no—
846C22×C41—41no—
847C22×C41—41no—
848C22×C41—41no—
849C22×C41—41no—
850C22×C41—41no—
851C22×C41—41no—
852C22×C41—41no—
853C22×C41—41no—
854C22×C41—41no—
855C22×C41—41no—
856C22×C41—162no—
857C22×C41—162no—
858C22×C41C23×D411yescharacteristic
859C4×C41—21no—
860C4×C41—21no—
861C4×C41—21no—
862C4×C41—21no—
863C4×C41—21no—
864C4×C41—21no—
865C4×C41—21no—
866C4×C41—21no—
867C4×C41—21no—
868C4×C41—21no—
869C4×C41—21no—
870C4×C41—22no—
871C4×C41—41no—
872C4×C41—41no—
873C4×C41—41no—
874C4×C41—41no—
875C4×C41—41no—
876C4×C41—41no—
877C4×C41—41no—
878C4×C41—41no—
879C4×C41—41no—
880C4×C41C2×H(5,𝔽2)11yescharacteristic
881C4×C41#58511yescharacteristic
882#3546C2×C4111yescharacteristic, complemented
883#3524C2×C4111yescharacteristic, complemented
884#3401C2×C4111yescharacteristic, complemented
885#3399C2×C4111yescharacteristic, complemented
886#3377C2×C4111yescharacteristic, complemented
887#3368C2×C4111yescharacteristic, complemented
888#3319C2×C4111yescharacteristic, complemented
889#3318C2×C4111yescharacteristic, complemented
890#3317C2×C4111yescharacteristic, complemented
891#3307C2×C4111yescharacteristic, complemented
892#3305C2×C4111yescharacteristic, complemented
893#3296C2×C4111yescharacteristic, complemented
894#3287C2×C4111yescharacteristic, complemented
895#3282C2×C4111yescharacteristic, complemented
896#3271C2×C4111yescharacteristic, complemented
897#3269C2×C4111yescharacteristic, complemented
898#3268C2×C4111yescharacteristic, complemented
899#3265C2×C4111yescharacteristic, complemented
900#3262C2×C4111yescharacteristic, complemented
901#3257C2×C4111yescharacteristic, complemented
902#3247C2×C4111yescharacteristic, complemented
903#3224C2×C4111yescharacteristic, complemented
904#3220C2×C4111yescharacteristic, complemented
905#3219C2×C4111yescharacteristic, complemented
906#3125C2×C4111yescharacteristic, complemented
907#3121C2×C4111yescharacteristic, complemented
908#3115C2×C4111yescharacteristic, complemented
909#3045C2×C4111yescharacteristic, complemented
910#3043C2×C4111yescharacteristic, complemented
911#3035C2×C4111yescharacteristic, complemented
912#2992C2×C4111yescharacteristic, complemented
913C2×C41—41no—
914C2×C41—41no—
915C2×C41—41no—
916C2×C41—81no—
917C2×C41—81no—
918C2×C41—81no—
919C2×C41—81no—
920C2×C41—81no—
921C2×C41—81no—
922C2×C41#348811yescharacteristic
923C2×C41#358411yescharacteristic
924C2×C41#358511yescharacteristic
925C2×#137C22×C4111yescharacteristic, complemented
926C2×AGL(1,ℤ/8)C22×C4111yescharacteristic
927C2×#135C22×C4111yescharacteristic, complemented
928C2×#135C22×C4111yescharacteristic, complemented
929C2×#135C22×C4111yescharacteristic, complemented
930C22×SD16C22×C4111yescharacteristic
931#560—21no—
932#560—21no—
933#559—21no—
934#559C22×C4111yescharacteristic, complemented
935#557C22×C4111yescharacteristic, complemented
936#556C22×C4111yescharacteristic
937#555—21no—
938#555C22×C4111yescharacteristic, complemented
939#553—21no—
940#553—21no—
941#553C22×C4111yescharacteristic
942#552—21no—
943#552C22×C4111yescharacteristic, complemented
944#550C22×C4111yescharacteristic
945#550C22×C4111yescharacteristic
946#550C22×C4111yescharacteristic
947#550C22×C4111yescharacteristic, complemented
948#548C22×C4111yescharacteristic
949#548C22×C4111yescharacteristic, complemented
950#547C22×C4111yescharacteristic
951#546—21no—
952#546C22×C4111yescharacteristic
953#546C22×C4111yescharacteristic
954D42C22×C4111yescharacteristic
955#542—21no—
956#542C22×C4111yescharacteristic
957#542C22×C4111yescharacteristic
958#542C22×C4111yescharacteristic, complemented
959#540—21no—
960#540C22×C4111yescharacteristic, complemented
961#538—21no—
962#538—21no—
963#537—21no—
964#535—21no—
965#535C22×C4111yescharacteristic
966#535C22×C4111yescharacteristic
967#532C22×C4111yescharacteristic
968#532C22×C4111yescharacteristic
969#529—21no—
970#529—21no—
971#529C22×C4111yescharacteristic
972#529C22×C4111yescharacteristic, complemented
973#520C22×C4111yescharacteristic, complemented
974#519C22×C4111yescharacteristic, complemented
975C4×#41C22×C4111yescharacteristic, complemented
976#497C22×C4111yescharacteristic, complemented
977#496C22×C4111yescharacteristic
978#496C22×C4111yescharacteristic
979#496C22×C4111yescharacteristic, complemented
980#495C22×C4111yescharacteristic
981#493C22×C4111yescharacteristic, complemented
982#491C22×C4111yescharacteristic, complemented
983#490C22×C4111yescharacteristic
984#490C22×C4111yescharacteristic, complemented
985#489C22×C4111yescharacteristic
986#488C22×C4111yescharacteristic
987#486C22×C4111yescharacteristic, complemented
988#485C22×C4111yescharacteristic, complemented
989#483C22×C4111yescharacteristic, complemented
990#482C22×C4111yescharacteristic
991#482C22×C4111yescharacteristic
992#482C22×C4111yescharacteristic, complemented
993#481C22×C4111yescharacteristic
994#479C22×C4111yescharacteristic, complemented
995#478C22×C4111yescharacteristic
996#478C22×C4111yescharacteristic, complemented
997#478C22×C4111yescharacteristic, complemented
998#477C22×C4111yescharacteristic, complemented
999#477C22×C4111yescharacteristic, complemented
1000#476C22×C4111yescharacteristic, complemented
1001#475C22×C4111yescharacteristic, complemented
1002#474C22×C4111yescharacteristic, complemented
1003#474C22×C4111yescharacteristic, complemented
1004#469C22×C4111yescharacteristic
1005#468C22×C4111yescharacteristic
1006#468C22×C4111yescharacteristic, complemented
1007#468C22×C4111yescharacteristic, complemented
1008#467C22×C4111yescharacteristic, complemented
1009#466C22×C4111yescharacteristic
1010#466C22×C4111yescharacteristic
1011#466C22×C4111yescharacteristic
1012#466C22×C4111yescharacteristic, complemented
1013#465C22×C4111yescharacteristic
1014#465C22×C4111yescharacteristic, complemented
1015#465C22×C4111yescharacteristic, complemented
1016#464C22×C4111yescharacteristic
1017#464C22×C4111yescharacteristic
1018#464C22×C4111yescharacteristic
1019#464C22×C4111yescharacteristic, complemented
1020#464C22×C4111yescharacteristic, complemented
1021#464C22×C4111yescharacteristic, complemented
1022#464C22×C4111yescharacteristic, complemented
1023#464C22×C4111yescharacteristic, complemented
1024#463C22×C4111yescharacteristic
1025#463C22×C4111yescharacteristic
1026#463C22×C4111yescharacteristic, complemented
1027#463C22×C4111yescharacteristic, complemented
1028#463C22×C4111yescharacteristic, complemented
1029#463C22×C4111yescharacteristic, complemented
1030#463C22×C4111yescharacteristic, complemented
1031#463C22×C4111yescharacteristic, complemented
1032#462C22×C4111yescharacteristic, complemented
1033#461C22×C4111yescharacteristic, complemented
1034#460C22×C4111yescharacteristic
1035#460C22×C4111yescharacteristic
1036#460C22×C4111yescharacteristic
1037#460C22×C4111yescharacteristic, complemented
1038#460C22×C4111yescharacteristic, complemented
1039#460C22×C4111yescharacteristic, complemented
1040#460C22×C4111yescharacteristic, complemented
1041#459C22×C4111yescharacteristic
1042#459C22×C4111yescharacteristic
1043#459C22×C4111yescharacteristic
1044#459C22×C4111yescharacteristic, complemented
1045#459C22×C4111yescharacteristic, complemented
1046#452C22×C4111yescharacteristic, complemented
1047#452C22×C4111yescharacteristic, complemented
1048#452C22×C4111yescharacteristic, complemented
1049#452C22×C4111yescharacteristic, complemented
1050#451C22×C4111yescharacteristic, complemented
1051#450C22×C4111yescharacteristic
1052#449C22×C4111yescharacteristic
1053#449C22×C4111yescharacteristic
1054#449C22×C4111yescharacteristic, complemented
1055#449C22×C4111yescharacteristic, complemented
1056#449C22×C4111yescharacteristic, complemented
1057#449C22×C4111yescharacteristic, complemented
1058#449C22×C4111yescharacteristic, complemented
1059#449C22×C4111yescharacteristic, complemented
1060#448C22×C4111yescharacteristic
1061#447C22×C4111yescharacteristic
1062#447C22×C4111yescharacteristic
1063#447C22×C4111yescharacteristic
1064#446C22×C4111yescharacteristic, complemented
1065#446C22×C4111yescharacteristic, complemented
1066#442C22×C4111yescharacteristic
1067#442C22×C4111yescharacteristic, complemented
1068#442C22×C4111yescharacteristic, complemented
1069#441C22×C4111yescharacteristic, complemented
1070#441C22×C4111yescharacteristic, complemented
1071#440C22×C4111yescharacteristic
1072#440C22×C4111yescharacteristic, complemented
1073#440C22×C4111yescharacteristic, complemented
1074C4×Q16C22×C4111yescharacteristic, complemented
1075C4×SD16C22×C4111yescharacteristic, complemented
1076C4×SD16C22×C4111yescharacteristic, complemented
1077C4×SD16C22×C4111yescharacteristic, complemented
1078#435C22×C4111yescharacteristic
1079#435C22×C4111yescharacteristic
1080#435C22×C4111yescharacteristic, complemented
1081#435C22×C4111yescharacteristic, complemented
1082C8×D4C22×C4111yescharacteristic, complemented
1083C8×D4C22×C4111yescharacteristic, complemented
1084#433C22×C4111yescharacteristic, complemented
1085#433C22×C4111yescharacteristic, complemented
1086#432C22×C4111yescharacteristic, complemented
1087#424C22×C4111yescharacteristic, complemented
1088#424C22×C4111yescharacteristic, complemented
1089C2×C4⋊C8C22×C4111yescharacteristic, complemented
1090#418C22×C4111yescharacteristic
1091#417C22×C4111yescharacteristic, complemented
1092#416C22×C4111yescharacteristic, complemented
1093#416C22×C4111yescharacteristic, complemented
1094#416C22×C4111yescharacteristic, complemented
1095C2×#102C22×C4111yescharacteristic
1096C41#6202611yescharacteristic, direct product factor, Sylow
1097C2×#41—21no—
1098C2×#41—21no—
1099C2×#41C23×C4111yescharacteristic
1100C2×#41C23×C4111yescharacteristic
1101C2×#41C23×C4111yescharacteristic
1102C2×#41C23×C4111yescharacteristic
1103C2×#41C23×C4111yescharacteristic
1104C2×#41C23×C4111yescharacteristic
1105C22×Q8C23×C4111yescharacteristic
1106C22×D4—21no—
1107C22×D4C23×C4111yescharacteristic
1108C22×D4C23×C4111yescharacteristic
1109#137—42no—
1110AGL(1,ℤ/8)—42no—
1111#135—42no—
1112#135—42no—
1113#135—42no—
1114C2×Q16C23×C4111yescharacteristic
1115C2×Q16C23×C4111yescharacteristic
1116C2×Q16C23×C4111yescharacteristic
1117C2×Q16C23×C4111yescharacteristic
1118C2×SD16—42no—
1119C2×SD16C23×C4111yescharacteristic
1120C2×SD16C23×C4111yescharacteristic
1121C2×SD16C23×C4111yescharacteristic
1122C2×SD16C23×C4111yescharacteristic
1123C2×SD16C23×C4111yescharacteristic
1124C2×SD16C23×C4111yescharacteristic
1125C2×SD16C23×C4111yescharacteristic
1126C2×SD16C23×C4111yescharacteristic
1127C2×SD16C23×C4111yescharacteristic
1128C2×SD16C23×C4111yescharacteristic
1129C2×SD16C23×C4111yescharacteristic
1130C2×SD16C23×C4111yescharacteristic
1131C2×D8C23×C4111yescharacteristic
1132C2×D8C23×C4111yescharacteristic
1133C2×D8C23×C4111yescharacteristic
1134C2×D8C23×C4111yescharacteristic
1135C2×D8C23×C4111yescharacteristic
1136C2×D8C23×C4111yescharacteristic
1137C2×D8C23×C4111yescharacteristic
1138C2×D8C23×C4111yescharacteristic
1139C2×M16C23×C4111yescharacteristic
1140C2×M16C23×C4111yescharacteristic
1141C22×C8C23×C4111yescharacteristic
1142C22×C8C23×C4111yescharacteristic
1143C22×C8C23×C4111yescharacteristic
1144C22×C8C23×C4111yescharacteristic
1145C4⋊Q8—21no—
1146C4⋊Q8C23×C4111yescharacteristic
1147C4⋊Q8C23×C4111yescharacteristic
1148C4⋊Q8C23×C4111yescharacteristic
1149#127—21no—
1150#127—21no—
1151#127—21no—
1152#127C23×C4111yescharacteristic
1153#127C23×C4111yescharacteristic
1154#127C23×C4111yescharacteristic
1155#127C23×C4111yescharacteristic
1156#127C23×C4111yescharacteristic
1157#126—21no—
1158#126—21no—
1159#126—21no—
1160#126—21no—
1161#126—21no—
1162#126—21no—
1163#126—21no—
1164#126—21no—
1165#126D4×C4111yescharacteristic
1166#126D4×C4111yescharacteristic
1167#125—21no—
1168#125—21no—
1169#125—21no—
1170#125D4×C4111yescharacteristic
1171#125C23×C4111yescharacteristic
1172#125C23×C4111yescharacteristic
1173#124—21no—
1174#124—21no—
1175#124—21no—
1176#124—21no—
1177#124—21no—
1178#124—21no—
1179#124—21no—
1180#124—21no—
1181#124—21no—
1182#124D4×C4111yescharacteristic
1183#124C23×C4111yescharacteristic
1184#124C23×C4111yescharacteristic
1185#124C23×C4111yescharacteristic
1186#124C23×C4111yescharacteristic
1187#124C23×C4111yescharacteristic
1188#124C23×C4111yescharacteristic
1189#123—21no—
1190#123—21no—
1191#123—21no—
1192#123—21no—
1193#123—21no—
1194#123—21no—
1195#123—21no—
1196#123—21no—
1197#123—21no—
1198#123—21no—
1199#123—21no—
1200#123—21no—
1201#123—21no—
1202#123—21no—
1203#123D4×C4111yescharacteristic
1204#123D4×C4111yescharacteristic
1205C22⋊Q8—21no—
1206C22⋊Q8—21no—
1207C22⋊Q8—21no—
1208C22⋊Q8—21no—
1209C22⋊Q8—21no—
1210C22⋊Q8—21no—
1211C22⋊Q8D4×C4111yescharacteristic
1212C22⋊Q8C23×C4111yescharacteristic
1213C22⋊Q8C23×C4111yescharacteristic
1214C22⋊Q8C23×C4111yescharacteristic
1215C22⋊Q8C23×C4111yescharacteristic
1216#121—21no—
1217#121—21no—
1218#121—21no—
1219#121—21no—
1220#121—21no—
1221#121—21no—
1222#121—21no—
1223#121—21no—
1224#121—21no—
1225#121—21no—
1226#121—21no—
1227#121—21no—
1228#121—21no—
1229#121—21no—
1230#121—21no—
1231#121—21no—
1232#121—21no—
1233#121—21no—
1234#121—21no—
1235#121—21no—
1236#121—21no—
1237#121—21no—
1238#121—21no—
1239#121—21no—
1240#121—21no—
1241#121—21no—
1242#121D4×C4111yescharacteristic
1243#121C23×C4111yescharacteristic
1244#121C23×C4111yescharacteristic
1245#121C23×C4111yescharacteristic
1246#121C23×C4111yescharacteristic
1247#121C23×C4111yescharacteristic
1248#121C23×C4111yescharacteristic
1249#121C23×C4111yescharacteristic
1250#121C23×C4111yescharacteristic
1251#120—21no—
1252#120—21no—
1253#120—21no—
1254#120—21no—
1255#120—21no—
1256#120—21no—
1257#120—21no—
1258#120—21no—
1259C4×Q8—21no—
1260C4×Q8—21no—
1261C4×Q8—21no—
1262C4×Q8C23×C4111yescharacteristic
1263C4×Q8C23×C4111yescharacteristic
1264C4×Q8C23×C4111yescharacteristic
1265C4×Q8C23×C4111yescharacteristic
1266C4×Q8C23×C4111yescharacteristic
1267C4×Q8C23×C4111yescharacteristic
1268C4×Q8C23×C4111yescharacteristic
1269C4×Q8C23×C4111yescharacteristic
1270C4×Q8C23×C4111yescharacteristic
1271C4×D4—21no—
1272C4×D4—21no—
1273C4×D4—21no—
1274C4×D4—21no—
1275C4×D4—21no—
1276C4×D4—21no—
1277C4×D4—21no—
1278C4×D4—21no—
1279C4×D4—21no—
1280C4×D4—21no—
1281C4×D4—21no—
1282C4×D4—21no—
1283C4×D4—21no—
1284C4×D4—21no—
1285C4×D4—21no—
1286C4×D4C23×C4111yescharacteristic
1287C4×D4C23×C4111yescharacteristic
1288C4×D4C23×C4111yescharacteristic
1289C4×D4C23×C4111yescharacteristic
1290C4×D4C23×C4111yescharacteristic
1291C4×D4C23×C4111yescharacteristic
1292C4×D4C23×C4111yescharacteristic
1293C4×D4C23×C4111yescharacteristic
1294C4×D4C23×C4111yescharacteristic
1295C4×D4C23×C4111yescharacteristic
1296C4×D4C23×C4111yescharacteristic
1297#117—21no—
1298#117—21no—
1299#117—21no—
1300#117—21no—
1301#117—21no—
1302#117—21no—
1303#117—21no—
1304#117—21no—
1305#117C23×C4111yescharacteristic
1306#117C23×C4111yescharacteristic
1307#117C23×C4111yescharacteristic
1308#117C23×C4111yescharacteristic
1309C2×C4⋊C4—21no—
1310C2×C4⋊C4—21no—
1311C2×C4⋊C4C23×C4111yescharacteristic
1312C2×C22⋊C4—21no—
1313C2×C22⋊C4—21no—
1314C2×C42—21no—
1315C2×C42C23×C4111yescharacteristic
1316#107C23×C4111yescharacteristic
1317#107C23×C4111yescharacteristic
1318#107C23×C4111yescharacteristic
1319#107C23×C4111yescharacteristic
1320#106C23×C4111yescharacteristic
1321#106C23×C4111yescharacteristic
1322#106C23×C4111yescharacteristic
1323#106C23×C4111yescharacteristic
1324C4⋊C8C23×C4111yescharacteristic
1325C4⋊C8C23×C4111yescharacteristic
1326C4⋊C8C23×C4111yescharacteristic
1327C4⋊C8C23×C4111yescharacteristic
1328C4⋊C8C23×C4111yescharacteristic
1329C4⋊C8C23×C4111yescharacteristic
1330C4⋊C8C23×C4111yescharacteristic
1331C4⋊C8C23×C4111yescharacteristic
1332C4⋊C8C23×C4111yescharacteristic
1333C4⋊C8C23×C4111yescharacteristic
1334#103C23×C4111yescharacteristic
1335#103C23×C4111yescharacteristic
1336#103C23×C4111yescharacteristic
1337#103C23×C4111yescharacteristic
1338#103C23×C4111yescharacteristic
1339#103C23×C4111yescharacteristic
1340#103C23×C4111yescharacteristic
1341#103C23×C4111yescharacteristic
1342#103C23×C4111yescharacteristic
1343#103C23×C4111yescharacteristic
1344#103C23×C4111yescharacteristic
1345#103C23×C4111yescharacteristic
1346#102C23×C4111yescharacteristic
1347#102C23×C4111yescharacteristic
1348#102C23×C4111yescharacteristic
1349#102C23×C4111yescharacteristic
1350#102C23×C4111yescharacteristic
1351#102C23×C4111yescharacteristic
1352#102C23×C4111yescharacteristic
1353#102C23×C4111yescharacteristic
1354#102C23×C4111yescharacteristic
1355#102C23×C4111yescharacteristic
1356#102C23×C4111yescharacteristic
1357#102C23×C4111yescharacteristic
1358#102C23×C4111yescharacteristic
1359#102C23×C4111yescharacteristic
1360#102C23×C4111yescharacteristic
1361#102C23×C4111yescharacteristic
1362#102C23×C4111yescharacteristic
1363#102C23×C4111yescharacteristic
1364#102C23×C4111yescharacteristic
1365#102C23×C4111yescharacteristic
1366C22⋊C8C23×C4111yescharacteristic
1367C22⋊C8C23×C4111yescharacteristic
1368C22⋊C8C23×C4111yescharacteristic
1369C22⋊C8C23×C4111yescharacteristic
1370C22⋊C8C23×C4111yescharacteristic
1371C22⋊C8C23×C4111yescharacteristic
1372#97C23×C4111yescharacteristic
1373#97C23×C4111yescharacteristic
1374#97C23×C4111yescharacteristic
1375#97C23×C4111yescharacteristic
1376C4×C8C23×C4111yescharacteristic
1377C4×C8C23×C4111yescharacteristic
1378C24—21no—
1379C24—21no—
1380#41—22no—
1381#41—22no—
1382#41—41no—
1383#41—41no—
1384#41—41no—
1385#41—41no—
1386#41—41no—
1387#41—41no—
1388#41—41no—
1389#41—41no—
1390#41—41no—
1391#41—41no—
1392#41—82no—
1393#41—82no—
1394C2×Q8—21no—
1395C2×Q8—21no—
1396C2×Q8—21no—
1397C2×Q8—22no—
1398C2×Q8—41no—
1399C2×Q8C2×D4×C4111yescharacteristic
1400C2×Q8C24×C4111yescharacteristic
1401C2×Q8C24×C4111yescharacteristic
1402C2×Q8C24×C4111yescharacteristic
1403C2×Q8C24×C4111yescharacteristic
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—21no—
1408C2×D4—21no—
1409C2×D4—21no—
1410C2×D4—21no—
1411C2×D4—21no—
1412C2×D4—21no—
1413C2×D4—21no—
1414C2×D4—21no—
1415C2×D4—21no—
1416C2×D4—21no—
1417C2×D4—21no—
1418C2×D4—21no—
1419C2×D4—21no—
1420C2×D4—21no—
1421C2×D4—21no—
1422C2×D4—21no—
1423C2×D4—21no—
1424C2×D4—21no—
1425C2×D4—21no—
1426C2×D4—21no—
1427C2×D4—21no—
1428C2×D4—21no—
1429C2×D4—21no—
1430C2×D4—41no—
1431C2×D4—41no—
1432C2×D4—41no—
1433C2×D4—41no—
1434C2×D4—82no—
1435C2×D4C2×D4×C4111yescharacteristic
1436C2×D4C2×D4×C4111yescharacteristic
1437C2×D4C2×D4×C4111yescharacteristic
1438C2×D4C24×C4111yescharacteristic
1439C2×D4C24×C4111yescharacteristic
1440C2×D4C24×C4111yescharacteristic
1441C2×D4C24×C4111yescharacteristic
1442C2×D4C24×C4111yescharacteristic
1443C2×D4C24×C4111yescharacteristic
1444C22×C4—21no—
1445C22×C4—21no—
1446C22×C4—21no—
1447C22×C4—21no—
1448C22×C4—21no—
1449C22×C4—21no—
1450C22×C4—21no—
1451C22×C4—21no—
1452C22×C4—21no—
1453C22×C4—21no—
1454C22×C4—21no—
1455C22×C4—21no—
1456C22×C4—21no—
1457C22×C4—21no—
1458C22×C4—21no—
1459C22×C4—21no—
1460C22×C4C2×D4×C4111yescharacteristic
1461C22×C4C2×D4×C4111yescharacteristic
1462C22×C4C24×C4111yescharacteristic
1463C22×C4C24×C4111yescharacteristic
1464C22×C4C24×C4111yescharacteristic
1465Q16—22no—
1466Q16—22no—
1467Q16—41no—
1468Q16—41no—
1469SD16—22no—
1470SD16—22no—
1471SD16—22no—
1472SD16—22no—
1473SD16—41no—
1474SD16—41no—
1475SD16—41no—
1476SD16—41no—
1477SD16—41no—
1478SD16—41no—
1479SD16—41no—
1480SD16—41no—
1481D8—41no—
1482D8—41no—
1483D8—41no—
1484D8—41no—
1485D8—41no—
1486D8—41no—
1487D8—41no—
1488D8—41no—
1489M16—41no—
1490M16—41no—
1491C2×C8—41no—
1492C2×C8—41no—
1493C2×C8—41no—
1494C2×C8—41no—
1495C2×C8C24×C4111yescharacteristic
1496C2×C8C24×C4111yescharacteristic
1497C2×C8C24×C4111yescharacteristic
1498C2×C8C24×C4111yescharacteristic
1499C2×C8C24×C4111yescharacteristic
1500C2×C8C24×C4111yescharacteristic
1501C2×C8C24×C4111yescharacteristic
1502C2×C8C24×C4111yescharacteristic
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—21no—
1506C4⋊C4—21no—
1507C4⋊C4—21no—
1508C4⋊C4—21no—
1509C4⋊C4—21no—
1510C4⋊C4—21no—
1511C4⋊C4—21no—
1512C4⋊C4—21no—
1513C4⋊C4—21no—
1514C4⋊C4—21no—
1515C4⋊C4—21no—
1516C4⋊C4—21no—
1517C4⋊C4—21no—
1518C4⋊C4—21no—
1519C4⋊C4—21no—
1520C4⋊C4—21no—
1521C4⋊C4—21no—
1522C4⋊C4—21no—
1523C4⋊C4—21no—
1524C4⋊C4C2×D4×C4111yescharacteristic
1525C4⋊C4C2×D4×C4111yescharacteristic
1526C4⋊C4C2×D4×C4111yescharacteristic
1527C4⋊C4C2×D4×C4111yescharacteristic
1528C4⋊C4C2×D4×C4111yescharacteristic
1529C4⋊C4C2×D4×C4111yescharacteristic
1530C4⋊C4C2×D4×C4111yescharacteristic
1531C4⋊C4C2×D4×C4111yescharacteristic
1532C4⋊C4C2×D4×C4111yescharacteristic
1533C4⋊C4C2×D4×C4111yescharacteristic
1534C4⋊C4C24×C4111yescharacteristic
1535C4⋊C4C24×C4111yescharacteristic
1536C4⋊C4C24×C4111yescharacteristic
1537C4⋊C4C24×C4111yescharacteristic
1538C4⋊C4C24×C4111yescharacteristic
1539C4⋊C4C24×C4111yescharacteristic
1540C22⋊C4—21no—
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—21no—
1551C22⋊C4—21no—
1552C22⋊C4—21no—
1553C22⋊C4—21no—
1554C22⋊C4—21no—
1555C22⋊C4—21no—
1556C22⋊C4—21no—
1557C22⋊C4—21no—
1558C22⋊C4—21no—
1559C22⋊C4—21no—
1560C22⋊C4—21no—
1561C22⋊C4—21no—
1562C22⋊C4—21no—
1563C22⋊C4—21no—
1564C22⋊C4—21no—
1565C22⋊C4—21no—
1566C22⋊C4—21no—
1567C22⋊C4—21no—
1568C22⋊C4—21no—
1569C22⋊C4—21no—
1570C22⋊C4—21no—
1571C22⋊C4—21no—
1572C22⋊C4—21no—
1573C22⋊C4—21no—
1574C22⋊C4C2×D4×C4111yescharacteristic
1575C22⋊C4C2×D4×C4111yescharacteristic
1576C22⋊C4C2×D4×C4111yescharacteristic
1577C22⋊C4C2×D4×C4111yescharacteristic
1578C22⋊C4C2×D4×C4111yescharacteristic
1579C22⋊C4C2×D4×C4111yescharacteristic
1580C22⋊C4C2×D4×C4111yescharacteristic
1581C22⋊C4C2×D4×C4111yescharacteristic
1582C22⋊C4C2×D4×C4111yescharacteristic
1583C22⋊C4C2×D4×C4111yescharacteristic
1584C42—21no—
1585C42—21no—
1586C42—21no—
1587C42—21no—
1588C42—21no—
1589C42—21no—
1590C42—21no—
1591C42—21no—
1592C42—21no—
1593C42—21no—
1594C42C2×D4×C4111yescharacteristic
1595C42C2×D4×C4111yescharacteristic
1596C42C24×C4111yescharacteristic
1597C42C24×C4111yescharacteristic
1598C42C24×C4111yescharacteristic
1599C42C24×C4111yescharacteristic
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—81no—
1607C23—81no—
1608C23—81no—
1609C23—81no—
1610C23—81no—
1611C23—81no—
1612C23C22×D4×C4111yescharacteristic
1613C23C22×D4×C4111yescharacteristic
1614C23C22×D4×C4111yescharacteristic
1615Q8—21no—
1616Q8—21no—
1617Q8—21no—
1618Q8—21no—
1619Q8—21no—
1620Q8—21no—
1621Q8—21no—
1622Q8—41no—
1623Q8—42no—
1624Q8—81no—
1625Q8—81no—
1626Q8H(5,𝔽2)×C4112yes—
1627D4—21no—
1628D4—21no—
1629D4—21no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—21no—
1634D4—21no—
1635D4—21no—
1636D4—21no—
1637D4—21no—
1638D4—21no—
1639D4—41no—
1640D4—41no—
1641D4—41no—
1642D4—42no—
1643D4—42no—
1644D4—42no—
1645D4—81no—
1646D4—81no—
1647D4—81no—
1648D4—81no—
1649D4—81no—
1650D4—81no—
1651D4—81no—
1652D4—81no—
1653D4—81no—
1654D4—81no—
1655D4—81no—
1656D4—81no—
1657D4—81no—
1658D4—81no—
1659D4—81no—
1660D4—81no—
1661D4—81no—
1662D4—81no—
1663D4—81no—
1664D4—81no—
1665D4—81no—
1666D4—81no—
1667D4—81no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—41no—
1685C2×C4—41no—
1686C2×C4—42no—
1687C2×C4—42no—
1688C2×C4—42no—
1689C2×C4—42no—
1690C2×C4—42no—
1691C2×C4—81no—
1692C2×C4—81no—
1693C2×C4—81no—
1694C2×C4—81no—
1695C2×C4—81no—
1696C2×C4—81no—
1697C2×C4—81no—
1698C2×C4—81no—
1699C2×C4—81no—
1700C2×C4—81no—
1701C2×C4—81no—
1702C2×C4C22×D4×C4111yescharacteristic
1703C2×C4C22×D4×C4111yescharacteristic
1704C2×C4C22×D4×C4111yescharacteristic
1705C2×C4C22×D4×C4111yescharacteristic
1706C2×C4C22×D4×C4111yescharacteristic
1707C2×C4C22×D4×C4111yescharacteristic
1708C2×C4C22×D4×C4111yescharacteristic
1709C2×C4C22×D4×C4111yescharacteristic
1710C2×C4C22×D4×C4111yescharacteristic
1711C2×C4C22×D4×C4111yescharacteristic
1712C2×C4C22×D4×C4111yescharacteristic
1713C2×C4C25×C4111yescharacteristic
1714C8—21no—
1715C8—21no—
1716C8—21no—
1717C8—21no—
1718C8—21no—
1719C8—21no—
1720C8—21no—
1721C8—21no—
1722C22—21no—
1723C22—21no—
1724C22—21no—
1725C22—21no—
1726C22—21no—
1727C22—21no—
1728C22—21no—
1729C22—21no—
1730C22—21no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—162no—
1750C22—162no—
1751C22C23×D4×C4111yescharacteristic
1752C4—21no—
1753C4—21no—
1754C4—21no—
1755C4—21no—
1756C4—21no—
1757C4—21no—
1758C4—21no—
1759C4—21no—
1760C4—21no—
1761C4—21no—
1762C4—21no—
1763C4—22no—
1764C4—41no—
1765C4—41no—
1766C4—41no—
1767C4—41no—
1768C4—41no—
1769C4—41no—
1770C4—41no—
1771C4—41no—
1772C4—41no—
1773C4C2×H(5,𝔽2)×C4111yescharacteristic
1774C4C41×#58511yescharacteristic
1775C2—41no—
1776C2—41no—
1777C2—41no—
1778C2—81no—
1779C2—81no—
1780C2—81no—
1781C2—81no—
1782C2—81no—
1783C2—81no—
1784C2C41×#348811yescharacteristic
1785C2C41×#358411yescharacteristic
1786C2C41×#358511yescharacteristic
subgroupG/H
center, socleC22×C41C23×D4
commutator, Frattini, cosocleC2×C4C25×C41
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C41 ◁ C41×#529 ◁ G

Complements

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

NH ≅ G/Ntype
1. C41×#3546C2semidirect
2. C41×#3524C2semidirect
3. C41×#3401C2semidirect
4. C41×#3399C2semidirect
5. C41×#3377C2semidirect
6. C41×#3368C2semidirect
7. C41×#3319C2semidirect
8. C41×#3318C2semidirect
9. C41×#3317C2semidirect
10. C41×#3307C2semidirect
11. C41×#3305C2semidirect
12. C41×#3296C2semidirect
13. C41×#3287C2semidirect
14. C41×#3282C2semidirect
15. C41×#3271C2semidirect
16. C41×#3269C2semidirect
17. C41×#3268C2semidirect
18. C41×#3265C2semidirect
19. C41×#3262C2semidirect
20. C41×#3257C2semidirect
21. C41×#3247C2semidirect
22. C41×#3224C2semidirect
23. C41×#3220C2semidirect
24. C41×#3219C2semidirect
25. C41×#3125C2semidirect
26. C41×#3121C2semidirect
27. C41×#3115C2semidirect
28. C41×#3045C2semidirect
29. C41×#3043C2semidirect
30. C41×#3035C2semidirect
31. C41×#2992C2semidirect
32. C2×#137×C41C22semidirect
34. C2×#135×C41C22semidirect
35. C2×#135×C41C22semidirect
36. C2×#135×C41C22semidirect
41. C41×#559C22semidirect
42. C41×#557C22semidirect
45. C41×#555C22semidirect
50. C41×#552C22semidirect
54. C41×#550C22semidirect
56. C41×#548C22semidirect
65. C41×#542C22semidirect
67. C41×#540C22semidirect
79. C41×#529C22semidirect
80. C41×#520C22semidirect
81. C41×#519C22semidirect
82. C4×#41×C41C22semidirect
83. C41×#497C22semidirect
86. C41×#496C22semidirect
88. C41×#493C22semidirect
89. C41×#491C22semidirect
91. C41×#490C22semidirect
94. C41×#486C22semidirect
95. C41×#485C22semidirect
96. C41×#483C22semidirect
99. C41×#482C22semidirect
101. C41×#479C22semidirect
103. C41×#478C22semidirect
104. C41×#478C22semidirect
105. C41×#477C22semidirect
106. C41×#477C22semidirect
107. C41×#476C22semidirect
108. C41×#475C22semidirect
109. C41×#474C22semidirect
110. C41×#474C22semidirect
113. C41×#468C22semidirect
114. C41×#468C22semidirect
115. C41×#467C22semidirect
119. C41×#466C22semidirect
121. C41×#465C22semidirect
122. C41×#465C22semidirect
126. C41×#464C22semidirect
127. C41×#464C22semidirect
128. C41×#464C22semidirect
129. C41×#464C22semidirect
130. C41×#464C22semidirect
133. C41×#463C22semidirect
134. C41×#463C22semidirect
135. C41×#463C22semidirect
136. C41×#463C22semidirect
137. C41×#463C22semidirect
138. C41×#463C22semidirect
139. C41×#462C22semidirect
140. C41×#461C22semidirect
144. C41×#460C22semidirect
145. C41×#460C22semidirect
146. C41×#460C22semidirect
147. C41×#460C22semidirect
151. C41×#459C22semidirect
152. C41×#459C22semidirect
153. C41×#452C22semidirect
154. C41×#452C22semidirect
155. C41×#452C22semidirect
156. C41×#452C22semidirect
157. C41×#451C22semidirect
161. C41×#449C22semidirect
162. C41×#449C22semidirect
163. C41×#449C22semidirect
164. C41×#449C22semidirect
165. C41×#449C22semidirect
166. C41×#449C22semidirect
171. C41×#446C22semidirect
172. C41×#446C22semidirect
174. C41×#442C22semidirect
175. C41×#442C22semidirect
176. C41×#441C22semidirect
177. C41×#441C22semidirect
179. C41×#440C22semidirect
180. C41×#440C22semidirect
181. C4×Q16×C41C22semidirect
182. C4×SD16×C41C22semidirect
183. C4×SD16×C41C22semidirect
184. C4×SD16×C41C22semidirect
187. C41×#435C22semidirect
188. C41×#435C22semidirect
189. C8×D4×C41C22semidirect
190. C8×D4×C41C22semidirect
191. C41×#433C22semidirect
192. C41×#433C22semidirect
193. C41×#432C22semidirect
194. C41×#424C22semidirect
195. C41×#424C22semidirect
196. C2×C4⋊C8×C41C22semidirect
198. C41×#417C22semidirect
199. C41×#416C22semidirect
200. C41×#416C22semidirect
201. C41×#416C22semidirect
828. #62026C41direct (N × H)
882. #3546C2×C41semidirect
883. #3524C2×C41semidirect
884. #3401C2×C41semidirect
885. #3399C2×C41semidirect
886. #3377C2×C41semidirect
887. #3368C2×C41semidirect
888. #3319C2×C41semidirect
889. #3318C2×C41semidirect
890. #3317C2×C41semidirect
891. #3307C2×C41semidirect
892. #3305C2×C41semidirect
893. #3296C2×C41semidirect
894. #3287C2×C41semidirect
895. #3282C2×C41semidirect
896. #3271C2×C41semidirect
897. #3269C2×C41semidirect
898. #3268C2×C41semidirect
899. #3265C2×C41semidirect
900. #3262C2×C41semidirect
901. #3257C2×C41semidirect
902. #3247C2×C41semidirect
903. #3224C2×C41semidirect
904. #3220C2×C41semidirect
905. #3219C2×C41semidirect
906. #3125C2×C41semidirect
907. #3121C2×C41semidirect
908. #3115C2×C41semidirect
909. #3045C2×C41semidirect
910. #3043C2×C41semidirect
911. #3035C2×C41semidirect
912. #2992C2×C41semidirect
925. C2×#137C22×C41semidirect
927. C2×#135C22×C41semidirect
928. C2×#135C22×C41semidirect
929. C2×#135C22×C41semidirect
934. #559C22×C41semidirect
935. #557C22×C41semidirect
938. #555C22×C41semidirect
943. #552C22×C41semidirect
947. #550C22×C41semidirect
949. #548C22×C41semidirect
958. #542C22×C41semidirect
960. #540C22×C41semidirect
972. #529C22×C41semidirect
973. #520C22×C41semidirect
974. #519C22×C41semidirect
975. C4×#41C22×C41semidirect
976. #497C22×C41semidirect
979. #496C22×C41semidirect
981. #493C22×C41semidirect
982. #491C22×C41semidirect
984. #490C22×C41semidirect
987. #486C22×C41semidirect
988. #485C22×C41semidirect
989. #483C22×C41semidirect
992. #482C22×C41semidirect
994. #479C22×C41semidirect
996. #478C22×C41semidirect
997. #478C22×C41semidirect
998. #477C22×C41semidirect
999. #477C22×C41semidirect
1000. #476C22×C41semidirect
1001. #475C22×C41semidirect
1002. #474C22×C41semidirect
1003. #474C22×C41semidirect
1006. #468C22×C41semidirect
1007. #468C22×C41semidirect
1008. #467C22×C41semidirect
1012. #466C22×C41semidirect
1014. #465C22×C41semidirect
1015. #465C22×C41semidirect
1019. #464C22×C41semidirect
1020. #464C22×C41semidirect
1021. #464C22×C41semidirect
1022. #464C22×C41semidirect
1023. #464C22×C41semidirect
1026. #463C22×C41semidirect
1027. #463C22×C41semidirect
1028. #463C22×C41semidirect
1029. #463C22×C41semidirect
1030. #463C22×C41semidirect
1031. #463C22×C41semidirect
1032. #462C22×C41semidirect
1033. #461C22×C41semidirect
1037. #460C22×C41semidirect
1038. #460C22×C41semidirect
1039. #460C22×C41semidirect
1040. #460C22×C41semidirect
1044. #459C22×C41semidirect
1045. #459C22×C41semidirect
1046. #452C22×C41semidirect
1047. #452C22×C41semidirect
1048. #452C22×C41semidirect
1049. #452C22×C41semidirect
1050. #451C22×C41semidirect
1054. #449C22×C41semidirect
1055. #449C22×C41semidirect
1056. #449C22×C41semidirect
1057. #449C22×C41semidirect
1058. #449C22×C41semidirect
1059. #449C22×C41semidirect
1064. #446C22×C41semidirect
1065. #446C22×C41semidirect
1067. #442C22×C41semidirect
1068. #442C22×C41semidirect
1069. #441C22×C41semidirect
1070. #441C22×C41semidirect
1072. #440C22×C41semidirect
1073. #440C22×C41semidirect
1074. C4×Q16C22×C41semidirect
1075. C4×SD16C22×C41semidirect
1076. C4×SD16C22×C41semidirect
1077. C4×SD16C22×C41semidirect
1080. #435C22×C41semidirect
1081. #435C22×C41semidirect
1082. C8×D4C22×C41semidirect
1083. C8×D4C22×C41semidirect
1084. #433C22×C41semidirect
1085. #433C22×C41semidirect
1086. #432C22×C41semidirect
1087. #424C22×C41semidirect
1088. #424C22×C41semidirect
1089. C2×C4⋊C8C22×C41semidirect
1091. #417C22×C41semidirect
1092. #416C22×C41semidirect
1093. #416C22×C41semidirect
1094. #416C22×C41semidirect
1096. C41#62026direct (N × H)

Maximal subgroups

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

subgroupindex
C41×#35462
C41×#35242
C41×#34012
C41×#33992
C41×#33772
C41×#33682
C41×#33192
C41×#33182
C41×#33172
C41×#33072
C41×#33052
C41×#32962
C41×#32872
C41×#32822
C41×#32712
C41×#32692
C41×#32682
C41×#32652
C41×#32622
C41×#32572
C41×#32472
C41×#32242
C41×#32202
C41×#32192
C41×#31252
C41×#31212
C41×#31152
C41×#30452
C41×#30432
C41×#30352
C41×#29922
#6202641