Finite Group Databasebeta

← C41×#62080 #23838281

Subgroups — C41×#62080 #23838281

Order 10496.

1778 conjugacy classes of subgroups.

The subgroup lattice has 1724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C41×#3552C211yesmaximal, characteristic, complemented
2C41×#3521C211yesmaximal, characteristic, complemented
3C41×#3402C211yesmaximal, characteristic, complemented
4C41×#3398C211yesmaximal, characteristic, complemented
5C41×#3376C211yesmaximal, characteristic, complemented
6C41×#3372C211yesmaximal, characteristic, complemented
7C41×#3328C211yesmaximal, characteristic, complemented
8C41×#3326C211yesmaximal, characteristic, complemented
9C41×#3320C211yesmaximal, characteristic, complemented
10C41×#3315C211yesmaximal, characteristic, complemented
11C41×#3313C211yesmaximal, characteristic, complemented
12C41×#3312C211yesmaximal, characteristic, complemented
13C41×#3276C211yesmaximal, characteristic, complemented
14C41×#3275C211yesmaximal, characteristic, complemented
15C41×#3269C211yesmaximal, characteristic, complemented
16C41×#3267C211yesmaximal, characteristic, complemented
17C41×#3266C211yesmaximal, characteristic, complemented
18C41×#3266C211yesmaximal, characteristic, complemented
19C41×#3261C211yesmaximal, characteristic, complemented
20C41×#3258C211yesmaximal, characteristic, complemented
21C41×#3256C211yesmaximal, characteristic, complemented
22C41×#3225C211yesmaximal, characteristic, complemented
23C41×#3223C211yesmaximal, characteristic, complemented
24C41×#3218C211yesmaximal, characteristic, complemented
25C41×#3123C211yesmaximal, characteristic, complemented
26C41×#3120C211yesmaximal, characteristic, complemented
27C41×#3111C211yesmaximal, characteristic, complemented
28C41×#3046C211yesmaximal, characteristic, complemented
29C41×#3042C211yesmaximal, characteristic, complemented
30C41×#3039C211yesmaximal, characteristic, complemented
31C41×#2995C211yesmaximal, characteristic, complemented
32C2×#137×C41C2211yescharacteristic
33C2×#137×C41C2211yescharacteristic
34C2×#137×C41C2211yescharacteristic
35C2×AGL(1,ℤ/8)×C41C2211yescharacteristic
36C2×#135×C41C2211yescharacteristic
37C22×SD16×C41C2211yescharacteristic
38C41×#563—21no—
39C41×#563—21no—
40C41×#557C2211yescharacteristic, complemented
41C41×#556C2211yescharacteristic
42C41×#556C2211yescharacteristic
43C41×#556C2211yescharacteristic, complemented
44C41×#554—21no—
45C41×#554C2211yescharacteristic
46C41×#553—21no—
47C41×#553—21no—
48C41×#553C2211yescharacteristic
49C41×#552—21no—
50C41×#552C2211yescharacteristic
51C41×#551—21no—
52C41×#551—21no—
53D4×Q8×C41C2211yescharacteristic
54D4×Q8×C41C2211yescharacteristic
55D4×Q8×C41C2211yescharacteristic, complemented
56C41×#548C2211yescharacteristic
57C41×#548C2211yescharacteristic, complemented
58C41×#547C2211yescharacteristic
59C41×#547C2211yescharacteristic
60C41×#546C2211yescharacteristic
61C41×#546C2211yescharacteristic
62C41×#544—21no—
63C41×#542—21no—
64C41×#542C2211yescharacteristic
65C41×#541C2211yescharacteristic
66C41×#541C2211yescharacteristic
67C41×#541C2211yescharacteristic, complemented
68C41×#539—21no—
69C41×#539—21no—
70C41×#539—21no—
71C41×#538—21no—
72C41×#536C2211yescharacteristic
73C41×#536C2211yescharacteristic, complemented
74C2×C4⋊Q8×C41C2211yescharacteristic, complemented
75C41×#529—21no—
76C41×#529C2211yescharacteristic
77C41×#529C2211yescharacteristic
78C41×#529C2211yescharacteristic, complemented
79C2×#126×C41—21no—
80C41×#520C2211yescharacteristic
81C41×#518C2211yescharacteristic
82C4×#41×C41C2211yescharacteristic
83C41×#497C2211yescharacteristic
84C41×#497C2211yescharacteristic
85C41×#497C2211yescharacteristic
86C41×#497C2211yescharacteristic, complemented
87C41×#495C2211yescharacteristic
88C41×#494C2211yescharacteristic, complemented
89C41×#491C2211yescharacteristic, complemented
90C41×#491C2211yescharacteristic, complemented
91C41×#491C2211yescharacteristic, complemented
92C41×#489C2211yescharacteristic, complemented
93C41×#488C2211yescharacteristic, complemented
94C41×#487C2211yescharacteristic, complemented
95C41×#485C2211yescharacteristic
96C41×#485C2211yescharacteristic
97C41×#485C2211yescharacteristic, complemented
98C41×#484C2211yescharacteristic, complemented
99C41×#483C2211yescharacteristic, complemented
100C41×#482C2211yescharacteristic, complemented
101C41×#479C2211yescharacteristic, complemented
102C41×#479C2211yescharacteristic, complemented
103C41×#479C2211yescharacteristic, complemented
104C41×#479C2211yescharacteristic, complemented
105C41×#479C2211yescharacteristic, complemented
106C41×#478C2211yescharacteristic
107C41×#478C2211yescharacteristic
108C41×#478C2211yescharacteristic, complemented
109C41×#477C2211yescharacteristic, complemented
110C41×#475C2211yescharacteristic, complemented
111C41×#470C2211yescharacteristic
112C41×#470C2211yescharacteristic
113C41×#470C2211yescharacteristic, complemented
114C41×#470C2211yescharacteristic, complemented
115C41×#469C2211yescharacteristic
116C41×#468C2211yescharacteristic
117C41×#468C2211yescharacteristic
118C41×#468C2211yescharacteristic, complemented
119C41×#467C2211yescharacteristic
120C41×#467C2211yescharacteristic
121C41×#467C2211yescharacteristic, complemented
122C41×#465C2211yescharacteristic
123C41×#464C2211yescharacteristic
124C41×#464C2211yescharacteristic
125C41×#464C2211yescharacteristic
126C41×#464C2211yescharacteristic, complemented
127C41×#464C2211yescharacteristic, complemented
128C41×#464C2211yescharacteristic, complemented
129C41×#463C2211yescharacteristic
130C41×#463C2211yescharacteristic
131C41×#463C2211yescharacteristic
132C41×#463C2211yescharacteristic
133C41×#463C2211yescharacteristic
134C41×#463C2211yescharacteristic
135C41×#462C2211yescharacteristic, complemented
136C41×#462C2211yescharacteristic, complemented
137C41×#462C2211yescharacteristic, complemented
138C41×#462C2211yescharacteristic, complemented
139C41×#462C2211yescharacteristic, complemented
140C41×#462C2211yescharacteristic, complemented
141C41×#462C2211yescharacteristic, complemented
142C41×#462C2211yescharacteristic, complemented
143C41×#462C2211yescharacteristic, complemented
144C41×#461C2211yescharacteristic
145C41×#461C2211yescharacteristic
146C41×#461C2211yescharacteristic
147C41×#461C2211yescharacteristic
148C41×#461C2211yescharacteristic
149C41×#461C2211yescharacteristic
150C41×#461C2211yescharacteristic
151C41×#461C2211yescharacteristic
152C41×#461C2211yescharacteristic
153C41×#452C2211yescharacteristic
154C41×#452C2211yescharacteristic
155C41×#452C2211yescharacteristic
156C41×#452C2211yescharacteristic
157C41×#452C2211yescharacteristic
158C41×#452C2211yescharacteristic, complemented
159C41×#451C2211yescharacteristic
160C41×#451C2211yescharacteristic
161C41×#451C2211yescharacteristic, complemented
162C41×#451C2211yescharacteristic, complemented
163C41×#451C2211yescharacteristic, complemented
164C41×#450C2211yescharacteristic
165C41×#450C2211yescharacteristic
166C41×#449C2211yescharacteristic
167C41×#449C2211yescharacteristic
168C41×#448C2211yescharacteristic
169C41×#448C2211yescharacteristic
170C41×#448C2211yescharacteristic
171C41×#446C2211yescharacteristic, complemented
172C41×#446C2211yescharacteristic, complemented
173C41×#442C2211yescharacteristic
174C41×#441C2211yescharacteristic, complemented
175C41×#441C2211yescharacteristic, complemented
176C41×#440C2211yescharacteristic
177C41×#440C2211yescharacteristic
178C41×#440C2211yescharacteristic
179C41×#440C2211yescharacteristic
180C41×#440C2211yescharacteristic, complemented
181C4×Q16×C41C2211yescharacteristic, complemented
182C4×SD16×C41C2211yescharacteristic
183C4×SD16×C41C2211yescharacteristic
184C4×SD16×C41C2211yescharacteristic
185C41×#436C2211yescharacteristic
186C41×#436C2211yescharacteristic, complemented
187C41×#435C2211yescharacteristic
188C41×#435C2211yescharacteristic
189C41×#435C2211yescharacteristic
190C41×#435C2211yescharacteristic, complemented
191C41×#433C2211yescharacteristic
192C41×#433C2211yescharacteristic, complemented
193C41×#432C2211yescharacteristic, complemented
194C41×#424C2211yescharacteristic
195C41×#424C2211yescharacteristic, complemented
196C41×#423C2211yescharacteristic, complemented
197C41×#419C2211yescharacteristic
198C41×#419C2211yescharacteristic, complemented
199C41×#419C2211yescharacteristic, complemented
200C41×#417C2211yescharacteristic, complemented
201C41×#416C2211yescharacteristic
202C2×#103×C41C2211yescharacteristic, complemented
203C2×#41×C41C2311yescharacteristic
204C2×#41×C41C2311yescharacteristic
205C2×#41×C41C2311yescharacteristic
206C2×#41×C41C2311yescharacteristic
207C22×Q8×C41C2311yescharacteristic
208C22×Q8×C41C2311yescharacteristic
209C22×Q8×C41C2311yescharacteristic
210C22×Q8×C41C2311yescharacteristic
211C22×D4×C41C2311yescharacteristic
212#137×C41—42no—
213#137×C41—42no—
214#137×C41—42no—
215AGL(1,ℤ/8)×C41—42no—
216#135×C41—42no—
217C2×Q16×C41C2311yescharacteristic
218C2×Q16×C41C2311yescharacteristic
219C2×Q16×C41C2311yescharacteristic
220C2×Q16×C41C2311yescharacteristic
221C2×Q16×C41C2311yescharacteristic
222C2×Q16×C41C2311yescharacteristic
223C2×Q16×C41C2311yescharacteristic
224C2×Q16×C41C2311yescharacteristic
225C2×Q16×C41C2311yescharacteristic
226C2×Q16×C41C2311yescharacteristic
227C2×SD16×C41—42no—
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×SD16×C41C2311yescharacteristic
238C2×SD16×C41C2311yescharacteristic
239C2×SD16×C41C2311yescharacteristic
240C2×D8×C41C2311yescharacteristic
241C2×D8×C41C2311yescharacteristic
242C2×M16×C41C2311yescharacteristic
243C2×M16×C41C2311yescharacteristic
244C2×M16×C41C2311yescharacteristic
245C2×M16×C41C2311yescharacteristic
246C22×C8×C41C2311yescharacteristic
247C22×C8×C41C2311yescharacteristic
248C4⋊Q8×C41—21no—
249C4⋊Q8×C41—21no—
250C4⋊Q8×C41—21no—
251C4⋊Q8×C41—21no—
252C4⋊Q8×C41—21no—
253C4⋊Q8×C41C2311yescharacteristic
254C4⋊Q8×C41C2311yescharacteristic
255C4⋊Q8×C41C2311yescharacteristic
256C4⋊Q8×C41C2311yescharacteristic
257C4⋊Q8×C41C2311yescharacteristic
258C4⋊Q8×C41C2311yescharacteristic
259C4⋊Q8×C41C2311yescharacteristic
260C4⋊Q8×C41C2311yescharacteristic
261#126×C41—21no—
262#126×C41—21no—
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×C41—21no—
272#126×C41—21no—
273#126×C41—21no—
274#126×C41—21no—
275#126×C41—21no—
276#126×C41—21no—
277#126×C41—21no—
278#126×C41D411yescharacteristic
279#126×C41D411yescharacteristic
280#125×C41—21no—
281#125×C41—21no—
282#125×C41—21no—
283#125×C41—21no—
284#125×C41—21no—
285#125×C41—21no—
286#125×C41—21no—
287#125×C41—21no—
288#125×C41—21no—
289#125×C41—21no—
290#125×C41D411yescharacteristic
291#125×C41C2311yescharacteristic
292#125×C41C2311yescharacteristic
293#125×C41C2311yescharacteristic
294#124×C41—21no—
295#124×C41—21no—
296#124×C41—21no—
297#124×C41—21no—
298#124×C41D411yescharacteristic
299#124×C41C2311yescharacteristic
300#124×C41C2311yescharacteristic
301#124×C41C2311yescharacteristic
302#124×C41C2311yescharacteristic
303#124×C41C2311yescharacteristic
304#123×C41—21no—
305#123×C41—21no—
306#123×C41—21no—
307#123×C41—21no—
308#123×C41—21no—
309#123×C41—21no—
310#123×C41—21no—
311#123×C41—21no—
312#123×C41—21no—
313#123×C41—21no—
314#123×C41—21no—
315#123×C41—21no—
316#123×C41—21no—
317#123×C41—21no—
318#123×C41—21no—
319#123×C41D411yescharacteristic
320#123×C41D411yescharacteristic
321C22⋊Q8×C41—21no—
322C22⋊Q8×C41—21no—
323C22⋊Q8×C41—21no—
324C22⋊Q8×C41—21no—
325C22⋊Q8×C41—21no—
326C22⋊Q8×C41—21no—
327C22⋊Q8×C41—21no—
328C22⋊Q8×C41—21no—
329C22⋊Q8×C41—21no—
330C22⋊Q8×C41—21no—
331C22⋊Q8×C41—21no—
332C22⋊Q8×C41—21no—
333C22⋊Q8×C41—21no—
334C22⋊Q8×C41—21no—
335C22⋊Q8×C41—21no—
336C22⋊Q8×C41—21no—
337C22⋊Q8×C41—21no—
338C22⋊Q8×C41—21no—
339C22⋊Q8×C41D411yescharacteristic
340C22⋊Q8×C41C2311yescharacteristic
341C22⋊Q8×C41C2311yescharacteristic
342C22⋊Q8×C41C2311yescharacteristic
343C22⋊Q8×C41C2311yescharacteristic
344C22⋊Q8×C41C2311yescharacteristic
345C22⋊Q8×C41C2311yescharacteristic
346C22⋊Q8×C41C2311yescharacteristic
347C22⋊Q8×C41C2311yescharacteristic
348C22⋊Q8×C41C2311yescharacteristic
349#121×C41—21no—
350#121×C41—21no—
351#121×C41—21no—
352#121×C41—21no—
353#121×C41—21no—
354#121×C41—21no—
355#121×C41—21no—
356#121×C41D411yescharacteristic
357#121×C41C2311yescharacteristic
358#121×C41C2311yescharacteristic
359#121×C41C2311yescharacteristic
360#120×C41—21no—
361#120×C41—21no—
362C4×Q8×C41—21no—
363C4×Q8×C41—21no—
364C4×Q8×C41C2311yescharacteristic
365C4×Q8×C41C2311yescharacteristic
366C4×Q8×C41C2311yescharacteristic
367C4×Q8×C41C2311yescharacteristic
368C4×Q8×C41C2311yescharacteristic
369C4×Q8×C41C2311yescharacteristic
370C4×Q8×C41C2311yescharacteristic
371C4×Q8×C41C2311yescharacteristic
372C4×Q8×C41C2311yescharacteristic
373C4×Q8×C41C2311yescharacteristic
374C4×D4×C41—21no—
375C4×D4×C41—21no—
376C4×D4×C41—21no—
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×C41C2311yescharacteristic
389C4×D4×C41C2311yescharacteristic
390C4×D4×C41C2311yescharacteristic
391C4×D4×C41C2311yescharacteristic
392C4×D4×C41C2311yescharacteristic
393C4×D4×C41C2311yescharacteristic
394C4×D4×C41C2311yescharacteristic
395C4×D4×C41C2311yescharacteristic
396C4×D4×C41C2311yescharacteristic
397C4×D4×C41C2311yescharacteristic
398#117×C41—21no—
399#117×C41—21no—
400#117×C41—21no—
401#117×C41—21no—
402#117×C41—21no—
403#117×C41—21no—
404#117×C41—21no—
405#117×C41C2311yescharacteristic
406#117×C41C2311yescharacteristic
407#117×C41C2311yescharacteristic
408#117×C41C2311yescharacteristic
409C2×C4⋊C4×C41—21no—
410C2×C4⋊C4×C41—21no—
411C2×C4⋊C4×C41—21no—
412C2×C4⋊C4×C41—21no—
413C2×C4⋊C4×C41—21no—
414C2×C4⋊C4×C41—21no—
415C2×C4⋊C4×C41C2311yescharacteristic
416C2×C22⋊C4×C41—21no—
417C2×C22⋊C4×C41—21no—
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#103×C41C2311yescharacteristic
453#103×C41C2311yescharacteristic
454#103×C41C2311yescharacteristic
455#103×C41C2311yescharacteristic
456#103×C41C2311yescharacteristic
457#103×C41C2311yescharacteristic
458#103×C41C2311yescharacteristic
459#103×C41C2311yescharacteristic
460#103×C41C2311yescharacteristic
461#103×C41C2311yescharacteristic
462#103×C41C2311yescharacteristic
463#103×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—
485#41×C41—22no—
486#41×C41—22no—
487#41×C41—41no—
488#41×C41—41no—
489#41×C41—41no—
490#41×C41—41no—
491#41×C41—41no—
492#41×C41—41no—
493C2×Q8×C41—21no—
494C2×Q8×C41—21no—
495C2×Q8×C41—21no—
496C2×Q8×C41—21no—
497C2×Q8×C41—21no—
498C2×Q8×C41—41no—
499C2×Q8×C41—41no—
500C2×Q8×C41—41no—
501C2×Q8×C41—41no—
502C2×Q8×C41—41no—
503C2×Q8×C41—41no—
504C2×Q8×C41—41no—
505C2×Q8×C41—41no—
506C2×Q8×C41C2×D411yescharacteristic
507C2×Q8×C41C2411yescharacteristic
508C2×Q8×C41C2411yescharacteristic
509C2×Q8×C41C2411yescharacteristic
510C2×Q8×C41C2411yescharacteristic
511C2×Q8×C41C2411yescharacteristic
512C2×Q8×C41C2411yescharacteristic
513C2×Q8×C41C2411yescharacteristic
514C2×D4×C41—22no—
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—41no—
524C2×D4×C41C2×D411yescharacteristic
525C2×D4×C41C2×D411yescharacteristic
526C2×D4×C41C2×D411yescharacteristic
527C2×D4×C41C2411yescharacteristic
528C2×D4×C41C2411yescharacteristic
529C2×D4×C41C2411yescharacteristic
530C22×C4×C41—21no—
531C22×C4×C41—21no—
532C22×C4×C41—21no—
533C22×C4×C41—21no—
534C22×C4×C41—21no—
535C22×C4×C41—21no—
536C22×C4×C41—21no—
537C22×C4×C41—21no—
538C22×C4×C41—21no—
539C22×C4×C41—21no—
540C22×C4×C41—21no—
541C22×C4×C41—21no—
542C22×C4×C41—21no—
543C22×C4×C41—21no—
544C22×C4×C41—21no—
545C22×C4×C41—21no—
546C22×C4×C41C2×D411yescharacteristic
547C22×C4×C41C2×D411yescharacteristic
548C22×C4×C41C2411yescharacteristic
549C22×C4×C41C2411yescharacteristic
550C22×C4×C41C2411yescharacteristic
551Q16×C41—41no—
552Q16×C41—41no—
553Q16×C41—41no—
554Q16×C41—41no—
555Q16×C41—41no—
556Q16×C41—41no—
557Q16×C41—41no—
558Q16×C41—41no—
559Q16×C41—41no—
560Q16×C41—41no—
561SD16×C41—22no—
562SD16×C41—22no—
563SD16×C41—22no—
564SD16×C41—22no—
565SD16×C41—22no—
566SD16×C41—41no—
567SD16×C41—41no—
568SD16×C41—41no—
569SD16×C41—41no—
570SD16×C41—41no—
571SD16×C41—41no—
572SD16×C41—41no—
573D8×C41—22no—
574D8×C41—41no—
575M16×C41—41no—
576M16×C41—41no—
577M16×C41—41no—
578M16×C41—41no—
579C2×C8×C41—41no—
580C2×C8×C41—41no—
581C2×C8×C41C2411yescharacteristic
582C2×C8×C41C2411yescharacteristic
583C2×C8×C41C2411yescharacteristic
584C2×C8×C41C2411yescharacteristic
585C2×C8×C41C2411yescharacteristic
586C2×C8×C41C2411yescharacteristic
587C2×C8×C41C2411yescharacteristic
588C2×C8×C41C2411yescharacteristic
589C4⋊C4×C41—21no—
590C4⋊C4×C41—21no—
591C4⋊C4×C41—21no—
592C4⋊C4×C41—21no—
593C4⋊C4×C41—21no—
594C4⋊C4×C41—21no—
595C4⋊C4×C41—21no—
596C4⋊C4×C41—21no—
597C4⋊C4×C41—21no—
598C4⋊C4×C41—21no—
599C4⋊C4×C41—21no—
600C4⋊C4×C41—21no—
601C4⋊C4×C41—21no—
602C4⋊C4×C41—21no—
603C4⋊C4×C41—21no—
604C4⋊C4×C41—21no—
605C4⋊C4×C41—21no—
606C4⋊C4×C41—21no—
607C4⋊C4×C41—21no—
608C4⋊C4×C41—21no—
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×C41C2×D411yescharacteristic
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×C41C2411yescharacteristic
640C4⋊C4×C41C2411yescharacteristic
641C4⋊C4×C41C2411yescharacteristic
642C4⋊C4×C41C2411yescharacteristic
643C4⋊C4×C41C2411yescharacteristic
644C4⋊C4×C41C2411yescharacteristic
645C22⋊C4×C41—21no—
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×C41C2×D411yescharacteristic
677C22⋊C4×C41C2×D411yescharacteristic
678C22⋊C4×C41C2×D411yescharacteristic
679C22⋊C4×C41C2×D411yescharacteristic
680C22⋊C4×C41C2×D411yescharacteristic
681C22⋊C4×C41C2×D411yescharacteristic
682C22⋊C4×C41C2×D411yescharacteristic
683C22⋊C4×C41C2×D411yescharacteristic
684C22⋊C4×C41C2×D411yescharacteristic
685C22⋊C4×C41C2×D411yescharacteristic
686C42×C41—21no—
687C42×C41—21no—
688C42×C41—21no—
689C42×C41—21no—
690C42×C41—21no—
691C42×C41—21no—
692C42×C41—21no—
693C42×C41—21no—
694C42×C41—21no—
695C42×C41—21no—
696C42×C41—21no—
697C42×C41C2×D411yescharacteristic
698C42×C41C2×D411yescharacteristic
699C42×C41C2411yescharacteristic
700C42×C41C2411yescharacteristic
701C42×C41C2411yescharacteristic
702C42×C41C2411yescharacteristic
703C23×C41—21no—
704C23×C41—21no—
705C23×C41—21no—
706C23×C41—42no—
707C23×C41—81no—
708C23×C41—81no—
709C23×C41C22×D411yescharacteristic
710C23×C41C22×D411yescharacteristic
711C23×C41C22×D411yescharacteristic
712Q8×C41—21no—
713Q8×C41—21no—
714Q8×C41—21no—
715Q8×C41—21no—
716Q8×C41—21no—
717Q8×C41—21no—
718Q8×C41—21no—
719Q8×C41—21no—
720Q8×C41—21no—
721Q8×C41—21no—
722Q8×C41—21no—
723Q8×C41—21no—
724Q8×C41—21no—
725Q8×C41—21no—
726Q8×C41—41no—
727Q8×C41—81no—
728Q8×C41—81no—
729Q8×C41—81no—
730Q8×C41—81no—
731Q8×C41—81no—
732D4×C41—21no—
733D4×C41—21no—
734D4×C41—21no—
735D4×C41—21no—
736D4×C41—21no—
737D4×C41—41no—
738D4×C41—41no—
739D4×C41—41no—
740D4×C41—42no—
741D4×C41—42no—
742D4×C41—42no—
743D4×C41—42no—
744D4×C41—81no—
745D4×C41—81no—
746D4×C41—81no—
747D4×C41—81no—
748D4×C41H(5,𝔽2)12yes—
749C2×C4×C41—21no—
750C2×C4×C41—21no—
751C2×C4×C41—21no—
752C2×C4×C41—21no—
753C2×C4×C41—21no—
754C2×C4×C41—21no—
755C2×C4×C41—21no—
756C2×C4×C41—21no—
757C2×C4×C41—21no—
758C2×C4×C41—21no—
759C2×C4×C41—21no—
760C2×C4×C41—21no—
761C2×C4×C41—21no—
762C2×C4×C41—21no—
763C2×C4×C41—21no—
764C2×C4×C41—21no—
765C2×C4×C41—21no—
766C2×C4×C41—21no—
767C2×C4×C41—21no—
768C2×C4×C41—41no—
769C2×C4×C41—41no—
770C2×C4×C41—42no—
771C2×C4×C41—42no—
772C2×C4×C41—42no—
773C2×C4×C41—81no—
774C2×C4×C41—81no—
775C2×C4×C41—81no—
776C2×C4×C41—81no—
777C2×C4×C41—81no—
778C2×C4×C41—81no—
779C2×C4×C41—81no—
780C2×C4×C41—81no—
781C2×C4×C41—81no—
782C2×C4×C41—81no—
783C2×C4×C41—81no—
784C2×C4×C41—81no—
785C2×C4×C41—81no—
786C2×C4×C41C22×D411yescharacteristic
787C2×C4×C41C22×D411yescharacteristic
788C2×C4×C41C22×D411yescharacteristic
789C2×C4×C41C22×D411yescharacteristic
790C2×C4×C41C22×D411yescharacteristic
791C2×C4×C41C22×D411yescharacteristic
792C2×C4×C41C22×D411yescharacteristic
793C2×C4×C41C22×D411yescharacteristic
794C2×C4×C41C22×D411yescharacteristic
795C2×C4×C41C22×D411yescharacteristic
796C2×C4×C41C22×D411yescharacteristic
797C2×C4×C41C2511yescharacteristic
798C8×C41—21no—
799C8×C41—21no—
800C8×C41—21no—
801C8×C41—21no—
802C8×C41—21no—
803C8×C41—21no—
804C8×C41—21no—
805C8×C41—21no—
806#62080C4111yesmaximal, characteristic, direct product factor, Sylow
807C22×C41—21no—
808C22×C41—21no—
809C22×C41—21no—
810C22×C41—21no—
811C22×C41—21no—
812C22×C41—21no—
813C22×C41—21no—
814C22×C41—21no—
815C22×C41—21no—
816C22×C41—22no—
817C22×C41—41no—
818C22×C41—41no—
819C22×C41—41no—
820C22×C41—41no—
821C22×C41—41no—
822C22×C41—41no—
823C22×C41—41no—
824C22×C41—41no—
825C22×C41—162no—
826C22×C41C23×D411yescharacteristic
827C4×C41—21no—
828C4×C41—21no—
829C4×C41—21no—
830C4×C41—21no—
831C4×C41—21no—
832C4×C41—21no—
833C4×C41—21no—
834C4×C41—21no—
835C4×C41—21no—
836C4×C41—21no—
837C4×C41—21no—
838C4×C41—41no—
839C4×C41—41no—
840C4×C41—41no—
841C4×C41—41no—
842C4×C41—41no—
843C4×C41—41no—
844C4×C41—41no—
845C4×C41—41no—
846C4×C41—41no—
847C4×C41—41no—
848C4×C41—41no—
849C4×C41—41no—
850C4×C41—41no—
851C4×C41C2×H(5,𝔽2)11yescharacteristic
852C4×C41#58511yescharacteristic
853#3552C2×C4111yescharacteristic, complemented
854#3521C2×C4111yescharacteristic, complemented
855#3402C2×C4111yescharacteristic, complemented
856#3398C2×C4111yescharacteristic, complemented
857#3376C2×C4111yescharacteristic, complemented
858#3372C2×C4111yescharacteristic, complemented
859#3328C2×C4111yescharacteristic, complemented
860#3326C2×C4111yescharacteristic, complemented
861#3320C2×C4111yescharacteristic, complemented
862#3315C2×C4111yescharacteristic, complemented
863#3313C2×C4111yescharacteristic, complemented
864#3312C2×C4111yescharacteristic, complemented
865#3276C2×C4111yescharacteristic, complemented
866#3275C2×C4111yescharacteristic, complemented
867#3269C2×C4111yescharacteristic, complemented
868#3267C2×C4111yescharacteristic, complemented
869#3266C2×C4111yescharacteristic, complemented
870#3266C2×C4111yescharacteristic, complemented
871#3261C2×C4111yescharacteristic, complemented
872#3258C2×C4111yescharacteristic, complemented
873#3256C2×C4111yescharacteristic, complemented
874#3225C2×C4111yescharacteristic, complemented
875#3223C2×C4111yescharacteristic, complemented
876#3218C2×C4111yescharacteristic, complemented
877#3123C2×C4111yescharacteristic, complemented
878#3120C2×C4111yescharacteristic, complemented
879#3111C2×C4111yescharacteristic, complemented
880#3046C2×C4111yescharacteristic, complemented
881#3042C2×C4111yescharacteristic, complemented
882#3039C2×C4111yescharacteristic, complemented
883#2995C2×C4111yescharacteristic, complemented
884C2×C41—41no—
885C2×C41—41no—
886C2×C41—41no—
887C2×C41—42no—
888C2×C41—81no—
889C2×C41—81no—
890C2×C41#348811yescharacteristic
891C2×C41#358611yescharacteristic
892C2×C41#358611yescharacteristic
893C2×#137C22×C4111yescharacteristic
894C2×#137C22×C4111yescharacteristic
895C2×#137C22×C4111yescharacteristic
896C2×AGL(1,ℤ/8)C22×C4111yescharacteristic
897C2×#135C22×C4111yescharacteristic
898C22×SD16C22×C4111yescharacteristic
899#563—21no—
900#563—21no—
901#557C22×C4111yescharacteristic, complemented
902#556C22×C4111yescharacteristic
903#556C22×C4111yescharacteristic
904#556C22×C4111yescharacteristic, complemented
905#554—21no—
906#554C22×C4111yescharacteristic
907#553—21no—
908#553—21no—
909#553C22×C4111yescharacteristic
910#552—21no—
911#552C22×C4111yescharacteristic
912#551—21no—
913#551—21no—
914D4×Q8C22×C4111yescharacteristic
915D4×Q8C22×C4111yescharacteristic
916D4×Q8C22×C4111yescharacteristic, complemented
917#548C22×C4111yescharacteristic
918#548C22×C4111yescharacteristic, complemented
919#547C22×C4111yescharacteristic
920#547C22×C4111yescharacteristic
921#546C22×C4111yescharacteristic
922#546C22×C4111yescharacteristic
923#544—21no—
924#542—21no—
925#542C22×C4111yescharacteristic
926#541C22×C4111yescharacteristic
927#541C22×C4111yescharacteristic
928#541C22×C4111yescharacteristic, complemented
929#539—21no—
930#539—21no—
931#539—21no—
932#538—21no—
933#536C22×C4111yescharacteristic
934#536C22×C4111yescharacteristic, complemented
935C2×C4⋊Q8C22×C4111yescharacteristic, complemented
936#529—21no—
937#529C22×C4111yescharacteristic
938#529C22×C4111yescharacteristic
939#529C22×C4111yescharacteristic, complemented
940C2×#126—21no—
941#520C22×C4111yescharacteristic
942#518C22×C4111yescharacteristic
943C4×#41C22×C4111yescharacteristic
944#497C22×C4111yescharacteristic
945#497C22×C4111yescharacteristic
946#497C22×C4111yescharacteristic
947#497C22×C4111yescharacteristic, complemented
948#495C22×C4111yescharacteristic
949#494C22×C4111yescharacteristic, complemented
950#491C22×C4111yescharacteristic, complemented
951#491C22×C4111yescharacteristic, complemented
952#491C22×C4111yescharacteristic, complemented
953#489C22×C4111yescharacteristic, complemented
954#488C22×C4111yescharacteristic, complemented
955#487C22×C4111yescharacteristic, complemented
956#485C22×C4111yescharacteristic
957#485C22×C4111yescharacteristic
958#485C22×C4111yescharacteristic, complemented
959#484C22×C4111yescharacteristic, complemented
960#483C22×C4111yescharacteristic, complemented
961#482C22×C4111yescharacteristic, complemented
962#479C22×C4111yescharacteristic, complemented
963#479C22×C4111yescharacteristic, complemented
964#479C22×C4111yescharacteristic, complemented
965#479C22×C4111yescharacteristic, complemented
966#479C22×C4111yescharacteristic, complemented
967#478C22×C4111yescharacteristic
968#478C22×C4111yescharacteristic
969#478C22×C4111yescharacteristic, complemented
970#477C22×C4111yescharacteristic, complemented
971#475C22×C4111yescharacteristic, complemented
972#470C22×C4111yescharacteristic
973#470C22×C4111yescharacteristic
974#470C22×C4111yescharacteristic, complemented
975#470C22×C4111yescharacteristic, complemented
976#469C22×C4111yescharacteristic
977#468C22×C4111yescharacteristic
978#468C22×C4111yescharacteristic
979#468C22×C4111yescharacteristic, complemented
980#467C22×C4111yescharacteristic
981#467C22×C4111yescharacteristic
982#467C22×C4111yescharacteristic, complemented
983#465C22×C4111yescharacteristic
984#464C22×C4111yescharacteristic
985#464C22×C4111yescharacteristic
986#464C22×C4111yescharacteristic
987#464C22×C4111yescharacteristic, complemented
988#464C22×C4111yescharacteristic, complemented
989#464C22×C4111yescharacteristic, complemented
990#463C22×C4111yescharacteristic
991#463C22×C4111yescharacteristic
992#463C22×C4111yescharacteristic
993#463C22×C4111yescharacteristic
994#463C22×C4111yescharacteristic
995#463C22×C4111yescharacteristic
996#462C22×C4111yescharacteristic, complemented
997#462C22×C4111yescharacteristic, complemented
998#462C22×C4111yescharacteristic, complemented
999#462C22×C4111yescharacteristic, complemented
1000#462C22×C4111yescharacteristic, complemented
1001#462C22×C4111yescharacteristic, complemented
1002#462C22×C4111yescharacteristic, complemented
1003#462C22×C4111yescharacteristic, complemented
1004#462C22×C4111yescharacteristic, complemented
1005#461C22×C4111yescharacteristic
1006#461C22×C4111yescharacteristic
1007#461C22×C4111yescharacteristic
1008#461C22×C4111yescharacteristic
1009#461C22×C4111yescharacteristic
1010#461C22×C4111yescharacteristic
1011#461C22×C4111yescharacteristic
1012#461C22×C4111yescharacteristic
1013#461C22×C4111yescharacteristic
1014#452C22×C4111yescharacteristic
1015#452C22×C4111yescharacteristic
1016#452C22×C4111yescharacteristic
1017#452C22×C4111yescharacteristic
1018#452C22×C4111yescharacteristic
1019#452C22×C4111yescharacteristic, complemented
1020#451C22×C4111yescharacteristic
1021#451C22×C4111yescharacteristic
1022#451C22×C4111yescharacteristic, complemented
1023#451C22×C4111yescharacteristic, complemented
1024#451C22×C4111yescharacteristic, complemented
1025#450C22×C4111yescharacteristic
1026#450C22×C4111yescharacteristic
1027#449C22×C4111yescharacteristic
1028#449C22×C4111yescharacteristic
1029#448C22×C4111yescharacteristic
1030#448C22×C4111yescharacteristic
1031#448C22×C4111yescharacteristic
1032#446C22×C4111yescharacteristic, complemented
1033#446C22×C4111yescharacteristic, complemented
1034#442C22×C4111yescharacteristic
1035#441C22×C4111yescharacteristic, complemented
1036#441C22×C4111yescharacteristic, complemented
1037#440C22×C4111yescharacteristic
1038#440C22×C4111yescharacteristic
1039#440C22×C4111yescharacteristic
1040#440C22×C4111yescharacteristic
1041#440C22×C4111yescharacteristic, complemented
1042C4×Q16C22×C4111yescharacteristic, complemented
1043C4×SD16C22×C4111yescharacteristic
1044C4×SD16C22×C4111yescharacteristic
1045C4×SD16C22×C4111yescharacteristic
1046#436C22×C4111yescharacteristic
1047#436C22×C4111yescharacteristic, complemented
1048#435C22×C4111yescharacteristic
1049#435C22×C4111yescharacteristic
1050#435C22×C4111yescharacteristic
1051#435C22×C4111yescharacteristic, complemented
1052#433C22×C4111yescharacteristic
1053#433C22×C4111yescharacteristic, complemented
1054#432C22×C4111yescharacteristic, complemented
1055#424C22×C4111yescharacteristic
1056#424C22×C4111yescharacteristic, complemented
1057#423C22×C4111yescharacteristic, complemented
1058#419C22×C4111yescharacteristic
1059#419C22×C4111yescharacteristic, complemented
1060#419C22×C4111yescharacteristic, complemented
1061#417C22×C4111yescharacteristic, complemented
1062#416C22×C4111yescharacteristic
1063C2×#103C22×C4111yescharacteristic, complemented
1064C41#6208011yescharacteristic, direct product factor, Sylow
1065C2×#41C23×C4111yescharacteristic
1066C2×#41C23×C4111yescharacteristic
1067C2×#41C23×C4111yescharacteristic
1068C2×#41C23×C4111yescharacteristic
1069C22×Q8C23×C4111yescharacteristic
1070C22×Q8C23×C4111yescharacteristic
1071C22×Q8C23×C4111yescharacteristic
1072C22×Q8C23×C4111yescharacteristic
1073C22×D4C23×C4111yescharacteristic
1074#137—42no—
1075#137—42no—
1076#137—42no—
1077AGL(1,ℤ/8)—42no—
1078#135—42no—
1079C2×Q16C23×C4111yescharacteristic
1080C2×Q16C23×C4111yescharacteristic
1081C2×Q16C23×C4111yescharacteristic
1082C2×Q16C23×C4111yescharacteristic
1083C2×Q16C23×C4111yescharacteristic
1084C2×Q16C23×C4111yescharacteristic
1085C2×Q16C23×C4111yescharacteristic
1086C2×Q16C23×C4111yescharacteristic
1087C2×Q16C23×C4111yescharacteristic
1088C2×Q16C23×C4111yescharacteristic
1089C2×SD16—42no—
1090C2×SD16C23×C4111yescharacteristic
1091C2×SD16C23×C4111yescharacteristic
1092C2×SD16C23×C4111yescharacteristic
1093C2×SD16C23×C4111yescharacteristic
1094C2×SD16C23×C4111yescharacteristic
1095C2×SD16C23×C4111yescharacteristic
1096C2×SD16C23×C4111yescharacteristic
1097C2×SD16C23×C4111yescharacteristic
1098C2×SD16C23×C4111yescharacteristic
1099C2×SD16C23×C4111yescharacteristic
1100C2×SD16C23×C4111yescharacteristic
1101C2×SD16C23×C4111yescharacteristic
1102C2×D8C23×C4111yescharacteristic
1103C2×D8C23×C4111yescharacteristic
1104C2×M16C23×C4111yescharacteristic
1105C2×M16C23×C4111yescharacteristic
1106C2×M16C23×C4111yescharacteristic
1107C2×M16C23×C4111yescharacteristic
1108C22×C8C23×C4111yescharacteristic
1109C22×C8C23×C4111yescharacteristic
1110C4⋊Q8—21no—
1111C4⋊Q8—21no—
1112C4⋊Q8—21no—
1113C4⋊Q8—21no—
1114C4⋊Q8—21no—
1115C4⋊Q8C23×C4111yescharacteristic
1116C4⋊Q8C23×C4111yescharacteristic
1117C4⋊Q8C23×C4111yescharacteristic
1118C4⋊Q8C23×C4111yescharacteristic
1119C4⋊Q8C23×C4111yescharacteristic
1120C4⋊Q8C23×C4111yescharacteristic
1121C4⋊Q8C23×C4111yescharacteristic
1122C4⋊Q8C23×C4111yescharacteristic
1123#126—21no—
1124#126—21no—
1125#126—21no—
1126#126—21no—
1127#126—21no—
1128#126—21no—
1129#126—21no—
1130#126—21no—
1131#126—21no—
1132#126—21no—
1133#126—21no—
1134#126—21no—
1135#126—21no—
1136#126—21no—
1137#126—21no—
1138#126—21no—
1139#126—21no—
1140#126D4×C4111yescharacteristic
1141#126D4×C4111yescharacteristic
1142#125—21no—
1143#125—21no—
1144#125—21no—
1145#125—21no—
1146#125—21no—
1147#125—21no—
1148#125—21no—
1149#125—21no—
1150#125—21no—
1151#125—21no—
1152#125D4×C4111yescharacteristic
1153#125C23×C4111yescharacteristic
1154#125C23×C4111yescharacteristic
1155#125C23×C4111yescharacteristic
1156#124—21no—
1157#124—21no—
1158#124—21no—
1159#124—21no—
1160#124D4×C4111yescharacteristic
1161#124C23×C4111yescharacteristic
1162#124C23×C4111yescharacteristic
1163#124C23×C4111yescharacteristic
1164#124C23×C4111yescharacteristic
1165#124C23×C4111yescharacteristic
1166#123—21no—
1167#123—21no—
1168#123—21no—
1169#123—21no—
1170#123—21no—
1171#123—21no—
1172#123—21no—
1173#123—21no—
1174#123—21no—
1175#123—21no—
1176#123—21no—
1177#123—21no—
1178#123—21no—
1179#123—21no—
1180#123—21no—
1181#123D4×C4111yescharacteristic
1182#123D4×C4111yescharacteristic
1183C22⋊Q8—21no—
1184C22⋊Q8—21no—
1185C22⋊Q8—21no—
1186C22⋊Q8—21no—
1187C22⋊Q8—21no—
1188C22⋊Q8—21no—
1189C22⋊Q8—21no—
1190C22⋊Q8—21no—
1191C22⋊Q8—21no—
1192C22⋊Q8—21no—
1193C22⋊Q8—21no—
1194C22⋊Q8—21no—
1195C22⋊Q8—21no—
1196C22⋊Q8—21no—
1197C22⋊Q8—21no—
1198C22⋊Q8—21no—
1199C22⋊Q8—21no—
1200C22⋊Q8—21no—
1201C22⋊Q8D4×C4111yescharacteristic
1202C22⋊Q8C23×C4111yescharacteristic
1203C22⋊Q8C23×C4111yescharacteristic
1204C22⋊Q8C23×C4111yescharacteristic
1205C22⋊Q8C23×C4111yescharacteristic
1206C22⋊Q8C23×C4111yescharacteristic
1207C22⋊Q8C23×C4111yescharacteristic
1208C22⋊Q8C23×C4111yescharacteristic
1209C22⋊Q8C23×C4111yescharacteristic
1210C22⋊Q8C23×C4111yescharacteristic
1211#121—21no—
1212#121—21no—
1213#121—21no—
1214#121—21no—
1215#121—21no—
1216#121—21no—
1217#121—21no—
1218#121D4×C4111yescharacteristic
1219#121C23×C4111yescharacteristic
1220#121C23×C4111yescharacteristic
1221#121C23×C4111yescharacteristic
1222#120—21no—
1223#120—21no—
1224C4×Q8—21no—
1225C4×Q8—21no—
1226C4×Q8C23×C4111yescharacteristic
1227C4×Q8C23×C4111yescharacteristic
1228C4×Q8C23×C4111yescharacteristic
1229C4×Q8C23×C4111yescharacteristic
1230C4×Q8C23×C4111yescharacteristic
1231C4×Q8C23×C4111yescharacteristic
1232C4×Q8C23×C4111yescharacteristic
1233C4×Q8C23×C4111yescharacteristic
1234C4×Q8C23×C4111yescharacteristic
1235C4×Q8C23×C4111yescharacteristic
1236C4×D4—21no—
1237C4×D4—21no—
1238C4×D4—21no—
1239C4×D4—21no—
1240C4×D4—21no—
1241C4×D4—21no—
1242C4×D4—21no—
1243C4×D4—21no—
1244C4×D4—21no—
1245C4×D4—21no—
1246C4×D4—21no—
1247C4×D4—21no—
1248C4×D4—21no—
1249C4×D4—21no—
1250C4×D4C23×C4111yescharacteristic
1251C4×D4C23×C4111yescharacteristic
1252C4×D4C23×C4111yescharacteristic
1253C4×D4C23×C4111yescharacteristic
1254C4×D4C23×C4111yescharacteristic
1255C4×D4C23×C4111yescharacteristic
1256C4×D4C23×C4111yescharacteristic
1257C4×D4C23×C4111yescharacteristic
1258C4×D4C23×C4111yescharacteristic
1259C4×D4C23×C4111yescharacteristic
1260#117—21no—
1261#117—21no—
1262#117—21no—
1263#117—21no—
1264#117—21no—
1265#117—21no—
1266#117—21no—
1267#117C23×C4111yescharacteristic
1268#117C23×C4111yescharacteristic
1269#117C23×C4111yescharacteristic
1270#117C23×C4111yescharacteristic
1271C2×C4⋊C4—21no—
1272C2×C4⋊C4—21no—
1273C2×C4⋊C4—21no—
1274C2×C4⋊C4—21no—
1275C2×C4⋊C4—21no—
1276C2×C4⋊C4—21no—
1277C2×C4⋊C4C23×C4111yescharacteristic
1278C2×C22⋊C4—21no—
1279C2×C22⋊C4—21no—
1280C2×C22⋊C4—21no—
1281C2×C22⋊C4—21no—
1282C2×C42—21no—
1283C2×C42C23×C4111yescharacteristic
1284#107C23×C4111yescharacteristic
1285#107C23×C4111yescharacteristic
1286#107C23×C4111yescharacteristic
1287#107C23×C4111yescharacteristic
1288#106C23×C4111yescharacteristic
1289#106C23×C4111yescharacteristic
1290#106C23×C4111yescharacteristic
1291#106C23×C4111yescharacteristic
1292C4⋊C8C23×C4111yescharacteristic
1293C4⋊C8C23×C4111yescharacteristic
1294C4⋊C8C23×C4111yescharacteristic
1295C4⋊C8C23×C4111yescharacteristic
1296C4⋊C8C23×C4111yescharacteristic
1297C4⋊C8C23×C4111yescharacteristic
1298C4⋊C8C23×C4111yescharacteristic
1299C4⋊C8C23×C4111yescharacteristic
1300C4⋊C8C23×C4111yescharacteristic
1301C4⋊C8C23×C4111yescharacteristic
1302#103C23×C4111yescharacteristic
1303#103C23×C4111yescharacteristic
1304#103C23×C4111yescharacteristic
1305#103C23×C4111yescharacteristic
1306#103C23×C4111yescharacteristic
1307#103C23×C4111yescharacteristic
1308#103C23×C4111yescharacteristic
1309#103C23×C4111yescharacteristic
1310#103C23×C4111yescharacteristic
1311#103C23×C4111yescharacteristic
1312#103C23×C4111yescharacteristic
1313#103C23×C4111yescharacteristic
1314#103C23×C4111yescharacteristic
1315#103C23×C4111yescharacteristic
1316#103C23×C4111yescharacteristic
1317#103C23×C4111yescharacteristic
1318#103C23×C4111yescharacteristic
1319#103C23×C4111yescharacteristic
1320#103C23×C4111yescharacteristic
1321#103C23×C4111yescharacteristic
1322#103C23×C4111yescharacteristic
1323#103C23×C4111yescharacteristic
1324#103C23×C4111yescharacteristic
1325#103C23×C4111yescharacteristic
1326#102C23×C4111yescharacteristic
1327#102C23×C4111yescharacteristic
1328#102C23×C4111yescharacteristic
1329#102C23×C4111yescharacteristic
1330#102C23×C4111yescharacteristic
1331#102C23×C4111yescharacteristic
1332#102C23×C4111yescharacteristic
1333#102C23×C4111yescharacteristic
1334C22⋊C8C23×C4111yescharacteristic
1335C22⋊C8C23×C4111yescharacteristic
1336C22⋊C8C23×C4111yescharacteristic
1337C22⋊C8C23×C4111yescharacteristic
1338C22⋊C8C23×C4111yescharacteristic
1339C22⋊C8C23×C4111yescharacteristic
1340#97C23×C4111yescharacteristic
1341#97C23×C4111yescharacteristic
1342#97C23×C4111yescharacteristic
1343#97C23×C4111yescharacteristic
1344C4×C8C23×C4111yescharacteristic
1345C4×C8C23×C4111yescharacteristic
1346C24—21no—
1347#41—22no—
1348#41—22no—
1349#41—41no—
1350#41—41no—
1351#41—41no—
1352#41—41no—
1353#41—41no—
1354#41—41no—
1355C2×Q8—21no—
1356C2×Q8—21no—
1357C2×Q8—21no—
1358C2×Q8—21no—
1359C2×Q8—21no—
1360C2×Q8—41no—
1361C2×Q8—41no—
1362C2×Q8—41no—
1363C2×Q8—41no—
1364C2×Q8—41no—
1365C2×Q8—41no—
1366C2×Q8—41no—
1367C2×Q8—41no—
1368C2×Q8C2×D4×C4111yescharacteristic
1369C2×Q8C24×C4111yescharacteristic
1370C2×Q8C24×C4111yescharacteristic
1371C2×Q8C24×C4111yescharacteristic
1372C2×Q8C24×C4111yescharacteristic
1373C2×Q8C24×C4111yescharacteristic
1374C2×Q8C24×C4111yescharacteristic
1375C2×Q8C24×C4111yescharacteristic
1376C2×D4—22no—
1377C2×D4—21no—
1378C2×D4—21no—
1379C2×D4—21no—
1380C2×D4—21no—
1381C2×D4—21no—
1382C2×D4—21no—
1383C2×D4—21no—
1384C2×D4—21no—
1385C2×D4—41no—
1386C2×D4C2×D4×C4111yescharacteristic
1387C2×D4C2×D4×C4111yescharacteristic
1388C2×D4C2×D4×C4111yescharacteristic
1389C2×D4C24×C4111yescharacteristic
1390C2×D4C24×C4111yescharacteristic
1391C2×D4C24×C4111yescharacteristic
1392C22×C4—21no—
1393C22×C4—21no—
1394C22×C4—21no—
1395C22×C4—21no—
1396C22×C4—21no—
1397C22×C4—21no—
1398C22×C4—21no—
1399C22×C4—21no—
1400C22×C4—21no—
1401C22×C4—21no—
1402C22×C4—21no—
1403C22×C4—21no—
1404C22×C4—21no—
1405C22×C4—21no—
1406C22×C4—21no—
1407C22×C4—21no—
1408C22×C4C2×D4×C4111yescharacteristic
1409C22×C4C2×D4×C4111yescharacteristic
1410C22×C4C24×C4111yescharacteristic
1411C22×C4C24×C4111yescharacteristic
1412C22×C4C24×C4111yescharacteristic
1413Q16—41no—
1414Q16—41no—
1415Q16—41no—
1416Q16—41no—
1417Q16—41no—
1418Q16—41no—
1419Q16—41no—
1420Q16—41no—
1421Q16—41no—
1422Q16—41no—
1423SD16—22no—
1424SD16—22no—
1425SD16—22no—
1426SD16—22no—
1427SD16—22no—
1428SD16—41no—
1429SD16—41no—
1430SD16—41no—
1431SD16—41no—
1432SD16—41no—
1433SD16—41no—
1434SD16—41no—
1435D8—22no—
1436D8—41no—
1437M16—41no—
1438M16—41no—
1439M16—41no—
1440M16—41no—
1441C2×C8—41no—
1442C2×C8—41no—
1443C2×C8C24×C4111yescharacteristic
1444C2×C8C24×C4111yescharacteristic
1445C2×C8C24×C4111yescharacteristic
1446C2×C8C24×C4111yescharacteristic
1447C2×C8C24×C4111yescharacteristic
1448C2×C8C24×C4111yescharacteristic
1449C2×C8C24×C4111yescharacteristic
1450C2×C8C24×C4111yescharacteristic
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—21no—
1454C4⋊C4—21no—
1455C4⋊C4—21no—
1456C4⋊C4—21no—
1457C4⋊C4—21no—
1458C4⋊C4—21no—
1459C4⋊C4—21no—
1460C4⋊C4—21no—
1461C4⋊C4—21no—
1462C4⋊C4—21no—
1463C4⋊C4—21no—
1464C4⋊C4—21no—
1465C4⋊C4—21no—
1466C4⋊C4—21no—
1467C4⋊C4—21no—
1468C4⋊C4—21no—
1469C4⋊C4—21no—
1470C4⋊C4—21no—
1471C4⋊C4—21no—
1472C4⋊C4—21no—
1473C4⋊C4—21no—
1474C4⋊C4—21no—
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—21no—
1480C4⋊C4—21no—
1481C4⋊C4—21no—
1482C4⋊C4—21no—
1483C4⋊C4—21no—
1484C4⋊C4—21no—
1485C4⋊C4—21no—
1486C4⋊C4—21no—
1487C4⋊C4—21no—
1488C4⋊C4—21no—
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4C2×D4×C4111yescharacteristic
1492C4⋊C4C2×D4×C4111yescharacteristic
1493C4⋊C4C2×D4×C4111yescharacteristic
1494C4⋊C4C2×D4×C4111yescharacteristic
1495C4⋊C4C2×D4×C4111yescharacteristic
1496C4⋊C4C2×D4×C4111yescharacteristic
1497C4⋊C4C2×D4×C4111yescharacteristic
1498C4⋊C4C2×D4×C4111yescharacteristic
1499C4⋊C4C2×D4×C4111yescharacteristic
1500C4⋊C4C2×D4×C4111yescharacteristic
1501C4⋊C4C24×C4111yescharacteristic
1502C4⋊C4C24×C4111yescharacteristic
1503C4⋊C4C24×C4111yescharacteristic
1504C4⋊C4C24×C4111yescharacteristic
1505C4⋊C4C24×C4111yescharacteristic
1506C4⋊C4C24×C4111yescharacteristic
1507C22⋊C4—21no—
1508C22⋊C4—21no—
1509C22⋊C4—21no—
1510C22⋊C4—21no—
1511C22⋊C4—21no—
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—21no—
1519C22⋊C4—21no—
1520C22⋊C4—21no—
1521C22⋊C4—21no—
1522C22⋊C4—21no—
1523C22⋊C4—21no—
1524C22⋊C4—21no—
1525C22⋊C4—21no—
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—21no—
1534C22⋊C4—21no—
1535C22⋊C4—21no—
1536C22⋊C4—21no—
1537C22⋊C4—21no—
1538C22⋊C4C2×D4×C4111yescharacteristic
1539C22⋊C4C2×D4×C4111yescharacteristic
1540C22⋊C4C2×D4×C4111yescharacteristic
1541C22⋊C4C2×D4×C4111yescharacteristic
1542C22⋊C4C2×D4×C4111yescharacteristic
1543C22⋊C4C2×D4×C4111yescharacteristic
1544C22⋊C4C2×D4×C4111yescharacteristic
1545C22⋊C4C2×D4×C4111yescharacteristic
1546C22⋊C4C2×D4×C4111yescharacteristic
1547C22⋊C4C2×D4×C4111yescharacteristic
1548C42—21no—
1549C42—21no—
1550C42—21no—
1551C42—21no—
1552C42—21no—
1553C42—21no—
1554C42—21no—
1555C42—21no—
1556C42—21no—
1557C42—21no—
1558C42—21no—
1559C42C2×D4×C4111yescharacteristic
1560C42C2×D4×C4111yescharacteristic
1561C42C24×C4111yescharacteristic
1562C42C24×C4111yescharacteristic
1563C42C24×C4111yescharacteristic
1564C42C24×C4111yescharacteristic
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—42no—
1569C23—81no—
1570C23—81no—
1571C23C22×D4×C4111yescharacteristic
1572C23C22×D4×C4111yescharacteristic
1573C23C22×D4×C4111yescharacteristic
1574Q8—21no—
1575Q8—21no—
1576Q8—21no—
1577Q8—21no—
1578Q8—21no—
1579Q8—21no—
1580Q8—21no—
1581Q8—21no—
1582Q8—21no—
1583Q8—21no—
1584Q8—21no—
1585Q8—21no—
1586Q8—21no—
1587Q8—21no—
1588Q8—41no—
1589Q8—81no—
1590Q8—81no—
1591Q8—81no—
1592Q8—81no—
1593Q8—81no—
1594D4—21no—
1595D4—21no—
1596D4—21no—
1597D4—21no—
1598D4—21no—
1599D4—41no—
1600D4—41no—
1601D4—41no—
1602D4—42no—
1603D4—42no—
1604D4—42no—
1605D4—42no—
1606D4—81no—
1607D4—81no—
1608D4—81no—
1609D4—81no—
1610D4H(5,𝔽2)×C4112yes—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—41no—
1631C2×C4—41no—
1632C2×C4—42no—
1633C2×C4—42no—
1634C2×C4—42no—
1635C2×C4—81no—
1636C2×C4—81no—
1637C2×C4—81no—
1638C2×C4—81no—
1639C2×C4—81no—
1640C2×C4—81no—
1641C2×C4—81no—
1642C2×C4—81no—
1643C2×C4—81no—
1644C2×C4—81no—
1645C2×C4—81no—
1646C2×C4—81no—
1647C2×C4—81no—
1648C2×C4C22×D4×C4111yescharacteristic
1649C2×C4C22×D4×C4111yescharacteristic
1650C2×C4C22×D4×C4111yescharacteristic
1651C2×C4C22×D4×C4111yescharacteristic
1652C2×C4C22×D4×C4111yescharacteristic
1653C2×C4C22×D4×C4111yescharacteristic
1654C2×C4C22×D4×C4111yescharacteristic
1655C2×C4C22×D4×C4111yescharacteristic
1656C2×C4C22×D4×C4111yescharacteristic
1657C2×C4C22×D4×C4111yescharacteristic
1658C2×C4C22×D4×C4111yescharacteristic
1659C2×C4C25×C4111yescharacteristic
1660C8—21no—
1661C8—21no—
1662C8—21no—
1663C8—21no—
1664C8—21no—
1665C8—21no—
1666C8—21no—
1667C8—21no—
1668C22—21no—
1669C22—21no—
1670C22—21no—
1671C22—21no—
1672C22—21no—
1673C22—21no—
1674C22—21no—
1675C22—21no—
1676C22—21no—
1677C22—22no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—162no—
1687C22C23×D4×C4111yescharacteristic
1688C4—21no—
1689C4—21no—
1690C4—21no—
1691C4—21no—
1692C4—21no—
1693C4—21no—
1694C4—21no—
1695C4—21no—
1696C4—21no—
1697C4—21no—
1698C4—21no—
1699C4—41no—
1700C4—41no—
1701C4—41no—
1702C4—41no—
1703C4—41no—
1704C4—41no—
1705C4—41no—
1706C4—41no—
1707C4—41no—
1708C4—41no—
1709C4—41no—
1710C4—41no—
1711C4—41no—
1712C4C2×H(5,𝔽2)×C4111yescharacteristic
1713C4C41×#58511yescharacteristic
1714C2—41no—
1715C2—41no—
1716C2—41no—
1717C2—42no—
1718C2—81no—
1719C2—81no—
1720C2C41×#348811yescharacteristic
1721C2C41×#358611yescharacteristic
1722C2C41×#358611yescharacteristic
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×#3552C2semidirect
2. C41×#3521C2semidirect
3. C41×#3402C2semidirect
4. C41×#3398C2semidirect
5. C41×#3376C2semidirect
6. C41×#3372C2semidirect
7. C41×#3328C2semidirect
8. C41×#3326C2semidirect
9. C41×#3320C2semidirect
10. C41×#3315C2semidirect
11. C41×#3313C2semidirect
12. C41×#3312C2semidirect
13. C41×#3276C2semidirect
14. C41×#3275C2semidirect
15. C41×#3269C2semidirect
16. C41×#3267C2semidirect
17. C41×#3266C2semidirect
18. C41×#3266C2semidirect
19. C41×#3261C2semidirect
20. C41×#3258C2semidirect
21. C41×#3256C2semidirect
22. C41×#3225C2semidirect
23. C41×#3223C2semidirect
24. C41×#3218C2semidirect
25. C41×#3123C2semidirect
26. C41×#3120C2semidirect
27. C41×#3111C2semidirect
28. C41×#3046C2semidirect
29. C41×#3042C2semidirect
30. C41×#3039C2semidirect
31. C41×#2995C2semidirect
40. C41×#557C22semidirect
43. C41×#556C22semidirect
55. D4×Q8×C41C22semidirect
57. C41×#548C22semidirect
67. C41×#541C22semidirect
73. C41×#536C22semidirect
74. C2×C4⋊Q8×C41C22semidirect
78. C41×#529C22semidirect
86. C41×#497C22semidirect
88. C41×#494C22semidirect
89. C41×#491C22semidirect
90. C41×#491C22semidirect
91. C41×#491C22semidirect
92. C41×#489C22semidirect
93. C41×#488C22semidirect
94. C41×#487C22semidirect
97. C41×#485C22semidirect
98. C41×#484C22semidirect
99. C41×#483C22semidirect
100. C41×#482C22semidirect
101. C41×#479C22semidirect
102. C41×#479C22semidirect
103. C41×#479C22semidirect
104. C41×#479C22semidirect
105. C41×#479C22semidirect
108. C41×#478C22semidirect
109. C41×#477C22semidirect
110. C41×#475C22semidirect
113. C41×#470C22semidirect
114. C41×#470C22semidirect
118. C41×#468C22semidirect
121. C41×#467C22semidirect
126. C41×#464C22semidirect
127. C41×#464C22semidirect
128. C41×#464C22semidirect
135. C41×#462C22semidirect
136. C41×#462C22semidirect
137. C41×#462C22semidirect
138. C41×#462C22semidirect
139. C41×#462C22semidirect
140. C41×#462C22semidirect
141. C41×#462C22semidirect
142. C41×#462C22semidirect
143. C41×#462C22semidirect
158. C41×#452C22semidirect
161. C41×#451C22semidirect
162. C41×#451C22semidirect
163. C41×#451C22semidirect
171. C41×#446C22semidirect
172. C41×#446C22semidirect
174. C41×#441C22semidirect
175. C41×#441C22semidirect
180. C41×#440C22semidirect
181. C4×Q16×C41C22semidirect
186. C41×#436C22semidirect
190. C41×#435C22semidirect
192. C41×#433C22semidirect
193. C41×#432C22semidirect
195. C41×#424C22semidirect
196. C41×#423C22semidirect
198. C41×#419C22semidirect
199. C41×#419C22semidirect
200. C41×#417C22semidirect
202. C2×#103×C41C22semidirect
806. #62080C41direct (N × H)
853. #3552C2×C41semidirect
854. #3521C2×C41semidirect
855. #3402C2×C41semidirect
856. #3398C2×C41semidirect
857. #3376C2×C41semidirect
858. #3372C2×C41semidirect
859. #3328C2×C41semidirect
860. #3326C2×C41semidirect
861. #3320C2×C41semidirect
862. #3315C2×C41semidirect
863. #3313C2×C41semidirect
864. #3312C2×C41semidirect
865. #3276C2×C41semidirect
866. #3275C2×C41semidirect
867. #3269C2×C41semidirect
868. #3267C2×C41semidirect
869. #3266C2×C41semidirect
870. #3266C2×C41semidirect
871. #3261C2×C41semidirect
872. #3258C2×C41semidirect
873. #3256C2×C41semidirect
874. #3225C2×C41semidirect
875. #3223C2×C41semidirect
876. #3218C2×C41semidirect
877. #3123C2×C41semidirect
878. #3120C2×C41semidirect
879. #3111C2×C41semidirect
880. #3046C2×C41semidirect
881. #3042C2×C41semidirect
882. #3039C2×C41semidirect
883. #2995C2×C41semidirect
901. #557C22×C41semidirect
904. #556C22×C41semidirect
916. D4×Q8C22×C41semidirect
918. #548C22×C41semidirect
928. #541C22×C41semidirect
934. #536C22×C41semidirect
935. C2×C4⋊Q8C22×C41semidirect
939. #529C22×C41semidirect
947. #497C22×C41semidirect
949. #494C22×C41semidirect
950. #491C22×C41semidirect
951. #491C22×C41semidirect
952. #491C22×C41semidirect
953. #489C22×C41semidirect
954. #488C22×C41semidirect
955. #487C22×C41semidirect
958. #485C22×C41semidirect
959. #484C22×C41semidirect
960. #483C22×C41semidirect
961. #482C22×C41semidirect
962. #479C22×C41semidirect
963. #479C22×C41semidirect
964. #479C22×C41semidirect
965. #479C22×C41semidirect
966. #479C22×C41semidirect
969. #478C22×C41semidirect
970. #477C22×C41semidirect
971. #475C22×C41semidirect
974. #470C22×C41semidirect
975. #470C22×C41semidirect
979. #468C22×C41semidirect
982. #467C22×C41semidirect
987. #464C22×C41semidirect
988. #464C22×C41semidirect
989. #464C22×C41semidirect
996. #462C22×C41semidirect
997. #462C22×C41semidirect
998. #462C22×C41semidirect
999. #462C22×C41semidirect
1000. #462C22×C41semidirect
1001. #462C22×C41semidirect
1002. #462C22×C41semidirect
1003. #462C22×C41semidirect
1004. #462C22×C41semidirect
1019. #452C22×C41semidirect
1022. #451C22×C41semidirect
1023. #451C22×C41semidirect
1024. #451C22×C41semidirect
1032. #446C22×C41semidirect
1033. #446C22×C41semidirect
1035. #441C22×C41semidirect
1036. #441C22×C41semidirect
1041. #440C22×C41semidirect
1042. C4×Q16C22×C41semidirect
1047. #436C22×C41semidirect
1051. #435C22×C41semidirect
1053. #433C22×C41semidirect
1054. #432C22×C41semidirect
1056. #424C22×C41semidirect
1057. #423C22×C41semidirect
1059. #419C22×C41semidirect
1060. #419C22×C41semidirect
1061. #417C22×C41semidirect
1063. C2×#103C22×C41semidirect
1064. C41#62080direct (N × H)

Maximal subgroups

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

subgroupindex
C41×#35522
C41×#35212
C41×#34022
C41×#33982
C41×#33762
C41×#33722
C41×#33282
C41×#33262
C41×#33202
C41×#33152
C41×#33132
C41×#33122
C41×#32762
C41×#32752
C41×#32692
C41×#32672
C41×#32662
C41×#32612
C41×#32582
C41×#32562
C41×#32252
C41×#32232
C41×#32182
C41×#31232
C41×#31202
C41×#31112
C41×#30462
C41×#30422
C41×#30392
C41×#29952
#6208041