Finite Group Databasebeta

← C41×#36771 #23812972

Subgroups — C41×#36771 #23812972

Order 10496.

1822 conjugacy classes of subgroups.

The subgroup lattice has 1574 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C41×#2856C211yesmaximal, characteristic, complemented
2C41×#2855C211yesmaximal, characteristic, complemented
3C41×#2796C211yesmaximal, characteristic, complemented
4C41×#2794C211yesmaximal, characteristic, complemented
5C41×#2751C211yesmaximal, characteristic, complemented
6C41×#2730C211yesmaximal, characteristic, complemented
7C41×#2721C211yesmaximal, characteristic, complemented
8C41×#2714C211yesmaximal, characteristic, complemented
9C41×#2711C211yesmaximal, characteristic, complemented
10C41×#2709C211yesmaximal, characteristic, complemented
11C41×#2708C211yesmaximal, characteristic, complemented
12C41×#2705C211yesmaximal, characteristic, complemented
13C41×#2703C211yesmaximal, characteristic, complemented
14C41×#2691C211yesmaximal, characteristic, complemented
15C41×#2688C211yesmaximal, characteristic, complemented
16C41×#2681C211yesmaximal, characteristic, complemented
17C41×#2676C211yesmaximal, characteristic, complemented
18C41×#2673C211yesmaximal, characteristic, complemented
19C41×#2635C211yesmaximal, characteristic, complemented
20C41×#2635C211yesmaximal, characteristic, complemented
21C41×#2560C211yesmaximal, characteristic, complemented
22C41×#2559C211yesmaximal, characteristic, complemented
23C41×#2558C211yesmaximal, characteristic, complemented
24C41×#2557C211yesmaximal, characteristic, complemented
25C41×#2531C211yesmaximal, characteristic, complemented
26C41×#2526C211yesmaximal, characteristic, complemented
27C41×#2476C211yesmaximal, characteristic, complemented
28C41×#2471C211yesmaximal, characteristic, complemented
29C41×#2333C211yesmaximal, characteristic, complemented
30C41×#2333C211yesmaximal, characteristic, complemented
31C41×#2290C211yesmaximal, characteristic, complemented
32C2×#127×C41C2211yescharacteristic
33C2×#126×C41C2211yescharacteristic
34C2×#126×C41C2211yescharacteristic
35C2×#125×C41C2211yescharacteristic
36C2×#124×C41C2211yescharacteristic
37C2×#123×C41C2211yescharacteristic
38C2×#123×C41C2211yescharacteristic
39C2×#123×C41C2211yescharacteristic
40C2×C22⋊Q8×C41C2211yescharacteristic
41C2×C22⋊Q8×C41C2211yescharacteristic
42C2×#121×C41C2211yescharacteristic
43C2×#121×C41C2211yescharacteristic
44C2×#121×C41C2211yescharacteristic
45C2×#121×C41C2211yescharacteristic
46C2×#121×C41C2211yescharacteristic
47C2×#121×C41C2211yescharacteristic
48C2×#121×C41C2211yescharacteristic
49C2×#121×C41C2211yescharacteristic
50C2×C4×D4×C41C2211yescharacteristic
51C2×#117×C41C2211yescharacteristic
52C22×C42×C41C2211yescharacteristic
53C41×#400C2211yescharacteristic
54C41×#400C2211yescharacteristic
55C41×#400C2211yescharacteristic
56C41×#400C2211yescharacteristic
57C41×#400C2211yescharacteristic
58C41×#399C2211yescharacteristic
59C41×#399C2211yescharacteristic
60C41×#399C2211yescharacteristic
61C41×#398C2211yescharacteristic
62C41×#398C2211yescharacteristic
63C41×#398C2211yescharacteristic
64C41×#397C2211yescharacteristic
65C41×#397C2211yescharacteristic
66C41×#397C2211yescharacteristic
67C41×#397C2211yescharacteristic
68C41×#397C2211yescharacteristic
69C41×#397C2211yescharacteristic
70C41×#397C2211yescharacteristic
71C41×#396C2211yescharacteristic
72C41×#396C2211yescharacteristic
73C41×#396C2211yescharacteristic
74C41×#396C2211yescharacteristic
75C41×#394C2211yescharacteristic
76C41×#394C2211yescharacteristic
77C41×#394C2211yescharacteristic
78C41×#394C2211yescharacteristic
79C41×#394C2211yescharacteristic
80C41×#394C2211yescharacteristic
81C41×#394C2211yescharacteristic
82C41×#394C2211yescharacteristic
83C41×#394C2211yescharacteristic
84C41×#394C2211yescharacteristic
85C41×#394C2211yescharacteristic
86C41×#394C2211yescharacteristic
87C41×#394C2211yescharacteristic
88C41×#394C2211yescharacteristic
89C41×#394C2211yescharacteristic
90C41×#394C2211yescharacteristic
91C41×#393C2211yescharacteristic
92C41×#393C2211yescharacteristic
93C41×#392C2211yescharacteristic
94C41×#392C2211yescharacteristic
95C41×#392C2211yescharacteristic
96C41×#392C2211yescharacteristic
97C41×#392C2211yescharacteristic
98C41×#392C2211yescharacteristic
99C41×#392C2211yescharacteristic
100C41×#392C2211yescharacteristic
101C41×#391C2211yescharacteristic
102C41×#391C2211yescharacteristic
103C41×#390C2211yescharacteristic
104C41×#390C2211yescharacteristic
105C41×#390C2211yescharacteristic
106C41×#390C2211yescharacteristic
107C41×#390C2211yescharacteristic
108C41×#390C2211yescharacteristic
109C41×#390C2211yescharacteristic
110C41×#390C2211yescharacteristic
111C41×#390C2211yescharacteristic
112C41×#390C2211yescharacteristic
113C41×#390C2211yescharacteristic
114C41×#389C2211yescharacteristic
115C41×#389C2211yescharacteristic
116C41×#389C2211yescharacteristic
117C41×#388C2211yescharacteristic
118C41×#388C2211yescharacteristic
119C41×#388C2211yescharacteristic
120C41×#388C2211yescharacteristic
121C41×#388C2211yescharacteristic
122C41×#388C2211yescharacteristic
123C41×#388C2211yescharacteristic
124C41×#388C2211yescharacteristic
125C41×#388C2211yescharacteristic
126C41×#388C2211yescharacteristic
127C41×#388C2211yescharacteristic
128C41×#388C2211yescharacteristic
129C41×#388C2211yescharacteristic
130C41×#388C2211yescharacteristic
131C41×#388C2211yescharacteristic
132C41×#388C2211yescharacteristic
133C41×#387C2211yescharacteristic
134C41×#387C2211yescharacteristic
135C41×#387C2211yescharacteristic
136C41×#387C2211yescharacteristic
137C41×#387C2211yescharacteristic
138C41×#387C2211yescharacteristic
139C41×#387C2211yescharacteristic
140C41×#387C2211yescharacteristic
141C41×#387C2211yescharacteristic
142C41×#387C2211yescharacteristic
143C41×#387C2211yescharacteristic
144C41×#387C2211yescharacteristic
145C41×#387C2211yescharacteristic
146C41×#387C2211yescharacteristic
147C41×#386C2211yescharacteristic
148C41×#386C2211yescharacteristic
149C41×#386C2211yescharacteristic
150C41×#386C2211yescharacteristic
151C41×#386C2211yescharacteristic
152C41×#386C2211yescharacteristic
153C41×#386C2211yescharacteristic
154C41×#386C2211yescharacteristic
155C41×#386C2211yescharacteristic
156C41×#386C2211yescharacteristic
157C41×#386C2211yescharacteristic
158C41×#386C2211yescharacteristic
159C41×#386C2211yescharacteristic
160C41×#386C2211yescharacteristic
161C41×#386C2211yescharacteristic
162C41×#386C2211yescharacteristic
163C41×#386C2211yescharacteristic
164C41×#386C2211yescharacteristic
165C41×#386C2211yescharacteristic
166C41×#385C2211yescharacteristic
167C41×#385C2211yescharacteristic
168C41×#385C2211yescharacteristic
169C41×#385C2211yescharacteristic
170C41×#385C2211yescharacteristic
171C41×#385C2211yescharacteristic
172C41×#385C2211yescharacteristic
173C41×#384C2211yescharacteristic
174C41×#381C2211yescharacteristic
175C41×#381C2211yescharacteristic
176C41×#381C2211yescharacteristic
177C41×#380C2211yescharacteristic
178C41×#380C2211yescharacteristic
179C4×C4⋊C4×C41C2211yescharacteristic
180C4×C22⋊C4×C41C2211yescharacteristic
181C4×C22⋊C4×C41C2211yescharacteristic
182C4×C22⋊C4×C41C2211yescharacteristic
183C4×C22⋊C4×C41C2211yescharacteristic
184C4×C22⋊C4×C41C2211yescharacteristic
185C4×C22⋊C4×C41C2211yescharacteristic
186C41×#376C2211yescharacteristic
187C22×Q8×C41C2311yescharacteristic
188C22×D4×C41C2311yescharacteristic
189C22×D4×C41C2311yescharacteristic
190C22×D4×C41C2311yescharacteristic
191C22×D4×C41C2311yescharacteristic
192C22×D4×C41C2311yescharacteristic
193C22×D4×C41C2311yescharacteristic
194C22×D4×C41C2311yescharacteristic
195C22×D4×C41C2311yescharacteristic
196C22×D4×C41C2311yescharacteristic
197C22×D4×C41C2311yescharacteristic
198C22×D4×C41C2311yescharacteristic
199C22×D4×C41C2311yescharacteristic
200C22×D4×C41C2311yescharacteristic
201C22×D4×C41C2311yescharacteristic
202C22×D4×C41C2311yescharacteristic
203C23×C4×C41C2311yescharacteristic
204C23×C4×C41C2311yescharacteristic
205C23×C4×C41C2311yescharacteristic
206C23×C4×C41C2311yescharacteristic
207C23×C4×C41C2311yescharacteristic
208C23×C4×C41C2311yescharacteristic
209C23×C4×C41C2311yescharacteristic
210C23×C4×C41C2311yescharacteristic
211#127×C41—42no—
212#126×C41—42no—
213#126×C41—42no—
214#125×C41—42no—
215#124×C41—42no—
216#123×C41—42no—
217#123×C41—42no—
218#123×C41—42no—
219C22⋊Q8×C41—42no—
220C22⋊Q8×C41—42no—
221#121×C41—24no—
222#121×C41—24no—
223#121×C41—42no—
224#121×C41—42no—
225#121×C41—42no—
226#121×C41—42no—
227#121×C41—42no—
228#121×C41—42no—
229C4×D4×C41—24no—
230#117×C41—42no—
231C2×C4⋊C4×C41C2311yescharacteristic
232C2×C4⋊C4×C41C2311yescharacteristic
233C2×C4⋊C4×C41C2311yescharacteristic
234C2×C4⋊C4×C41C2311yescharacteristic
235C2×C4⋊C4×C41C2311yescharacteristic
236C2×C4⋊C4×C41C2311yescharacteristic
237C2×C4⋊C4×C41C2311yescharacteristic
238C2×C4⋊C4×C41C2311yescharacteristic
239C2×C4⋊C4×C41C2311yescharacteristic
240C2×C4⋊C4×C41C2311yescharacteristic
241C2×C4⋊C4×C41C2311yescharacteristic
242C2×C4⋊C4×C41C2311yescharacteristic
243C2×C4⋊C4×C41C2311yescharacteristic
244C2×C4⋊C4×C41C2311yescharacteristic
245C2×C4⋊C4×C41C2311yescharacteristic
246C2×C4⋊C4×C41C2311yescharacteristic
247C2×C4⋊C4×C41C2311yescharacteristic
248C2×C4⋊C4×C41C2311yescharacteristic
249C2×C4⋊C4×C41C2311yescharacteristic
250C2×C4⋊C4×C41C2311yescharacteristic
251C2×C4⋊C4×C41C2311yescharacteristic
252C2×C4⋊C4×C41C2311yescharacteristic
253C2×C4⋊C4×C41C2311yescharacteristic
254C2×C4⋊C4×C41C2311yescharacteristic
255C2×C4⋊C4×C41C2311yescharacteristic
256C2×C4⋊C4×C41C2311yescharacteristic
257C2×C4⋊C4×C41C2311yescharacteristic
258C2×C4⋊C4×C41C2311yescharacteristic
259C2×C22⋊C4×C41C2311yescharacteristic
260C2×C22⋊C4×C41C2311yescharacteristic
261C2×C22⋊C4×C41C2311yescharacteristic
262C2×C22⋊C4×C41C2311yescharacteristic
263C2×C22⋊C4×C41C2311yescharacteristic
264C2×C22⋊C4×C41C2311yescharacteristic
265C2×C22⋊C4×C41C2311yescharacteristic
266C2×C22⋊C4×C41C2311yescharacteristic
267C2×C22⋊C4×C41C2311yescharacteristic
268C2×C22⋊C4×C41C2311yescharacteristic
269C2×C22⋊C4×C41C2311yescharacteristic
270C2×C22⋊C4×C41C2311yescharacteristic
271C2×C22⋊C4×C41C2311yescharacteristic
272C2×C22⋊C4×C41C2311yescharacteristic
273C2×C22⋊C4×C41C2311yescharacteristic
274C2×C22⋊C4×C41C2311yescharacteristic
275C2×C22⋊C4×C41C2311yescharacteristic
276C2×C22⋊C4×C41C2311yescharacteristic
277C2×C22⋊C4×C41C2311yescharacteristic
278C2×C22⋊C4×C41C2311yescharacteristic
279C2×C22⋊C4×C41C2311yescharacteristic
280C2×C22⋊C4×C41C2311yescharacteristic
281C2×C22⋊C4×C41C2311yescharacteristic
282C2×C22⋊C4×C41C2311yescharacteristic
283C2×C22⋊C4×C41C2311yescharacteristic
284C2×C22⋊C4×C41C2311yescharacteristic
285C2×C22⋊C4×C41C2311yescharacteristic
286C2×C22⋊C4×C41C2311yescharacteristic
287C2×C22⋊C4×C41C2311yescharacteristic
288C2×C22⋊C4×C41C2311yescharacteristic
289C2×C22⋊C4×C41C2311yescharacteristic
290C2×C22⋊C4×C41C2311yescharacteristic
291C2×C22⋊C4×C41C2311yescharacteristic
292C2×C22⋊C4×C41C2311yescharacteristic
293C2×C22⋊C4×C41C2311yescharacteristic
294C2×C22⋊C4×C41C2311yescharacteristic
295C2×C22⋊C4×C41C2311yescharacteristic
296C2×C22⋊C4×C41C2311yescharacteristic
297C2×C22⋊C4×C41C2311yescharacteristic
298C2×C22⋊C4×C41C2311yescharacteristic
299C2×C22⋊C4×C41C2311yescharacteristic
300C2×C22⋊C4×C41C2311yescharacteristic
301C2×C22⋊C4×C41C2311yescharacteristic
302C2×C22⋊C4×C41C2311yescharacteristic
303C2×C22⋊C4×C41C2311yescharacteristic
304C2×C22⋊C4×C41C2311yescharacteristic
305C2×C22⋊C4×C41C2311yescharacteristic
306C2×C22⋊C4×C41C2311yescharacteristic
307C2×C22⋊C4×C41C2311yescharacteristic
308C2×C22⋊C4×C41C2311yescharacteristic
309C2×C22⋊C4×C41C2311yescharacteristic
310C2×C22⋊C4×C41C2311yescharacteristic
311C2×C42×C41—42no—
312C2×C42×C41C2311yescharacteristic
313C2×C42×C41C2311yescharacteristic
314C2×C42×C41C2311yescharacteristic
315C2×C42×C41C2311yescharacteristic
316C2×C42×C41C2311yescharacteristic
317C2×C42×C41C2311yescharacteristic
318C2×C42×C41C2311yescharacteristic
319C2×C42×C41C2311yescharacteristic
320C2×C42×C41C2311yescharacteristic
321C2×C42×C41C2311yescharacteristic
322C2×C42×C41C2311yescharacteristic
323#95×C41C2311yescharacteristic
324#95×C41C2311yescharacteristic
325#95×C41C2311yescharacteristic
326#95×C41C2311yescharacteristic
327#95×C41C2311yescharacteristic
328#95×C41C2311yescharacteristic
329#95×C41C2311yescharacteristic
330#95×C41C2311yescharacteristic
331#95×C41C2311yescharacteristic
332#95×C41C2311yescharacteristic
333#95×C41C2311yescharacteristic
334#95×C41C2311yescharacteristic
335#95×C41C2311yescharacteristic
336#95×C41C2311yescharacteristic
337#95×C41C2311yescharacteristic
338#95×C41C2311yescharacteristic
339#95×C41C2311yescharacteristic
340#95×C41C2311yescharacteristic
341#95×C41C2311yescharacteristic
342#95×C41C2311yescharacteristic
343#95×C41C2311yescharacteristic
344#95×C41C2311yescharacteristic
345#95×C41C2311yescharacteristic
346#95×C41C2311yescharacteristic
347#95×C41C2311yescharacteristic
348#95×C41C2311yescharacteristic
349#95×C41C2311yescharacteristic
350#95×C41C2311yescharacteristic
351#95×C41C2311yescharacteristic
352#95×C41C2311yescharacteristic
353#95×C41C2311yescharacteristic
354#95×C41C2311yescharacteristic
355#95×C41C2311yescharacteristic
356#95×C41C2311yescharacteristic
357#95×C41C2311yescharacteristic
358#95×C41C2311yescharacteristic
359#95×C41C2311yescharacteristic
360#95×C41C2311yescharacteristic
361#95×C41C2311yescharacteristic
362#95×C41C2311yescharacteristic
363C24×C41C2411yescharacteristic
364C24×C41C2411yescharacteristic
365C24×C41C2411yescharacteristic
366C24×C41C2411yescharacteristic
367C24×C41C2411yescharacteristic
368C24×C41C2411yescharacteristic
369C2×Q8×C41—22no—
370C2×Q8×C41—41no—
371C2×Q8×C41—41no—
372C2×D4×C41—22no—
373C2×D4×C41—22no—
374C2×D4×C41—22no—
375C2×D4×C41—22no—
376C2×D4×C41—22no—
377C2×D4×C41—22no—
378C2×D4×C41—22no—
379C2×D4×C41—22no—
380C2×D4×C41—22no—
381C2×D4×C41—22no—
382C2×D4×C41—22no—
383C2×D4×C41—41no—
384C2×D4×C41—41no—
385C2×D4×C41—41no—
386C2×D4×C41—41no—
387C2×D4×C41—41no—
388C2×D4×C41—41no—
389C2×D4×C41—41no—
390C2×D4×C41—41no—
391C2×D4×C41—41no—
392C2×D4×C41—41no—
393C2×D4×C41—41no—
394C2×D4×C41—41no—
395C2×D4×C41—41no—
396C2×D4×C41—41no—
397C2×D4×C41—41no—
398C2×D4×C41—41no—
399C2×D4×C41—41no—
400C2×D4×C41—41no—
401C2×D4×C41—41no—
402C2×D4×C41—41no—
403C2×D4×C41—41no—
404C2×D4×C41—41no—
405C2×D4×C41—41no—
406C2×D4×C41—41no—
407C2×D4×C41—41no—
408C2×D4×C41—41no—
409C2×D4×C41—41no—
410C2×D4×C41—41no—
411C2×D4×C41—41no—
412C2×D4×C41—41no—
413C2×D4×C41—41no—
414C2×D4×C41—41no—
415C2×D4×C41—41no—
416C2×D4×C41—41no—
417C22×C4×C41—22no—
418C22×C4×C41—22no—
419C22×C4×C41—22no—
420C22×C4×C41—22no—
421C22×C4×C41—41no—
422C22×C4×C41—41no—
423C22×C4×C41—41no—
424C22×C4×C41—41no—
425C22×C4×C41—41no—
426C22×C4×C41—41no—
427C22×C4×C41—41no—
428C22×C4×C41—41no—
429C22×C4×C41—41no—
430C22×C4×C41—41no—
431C22×C4×C41—41no—
432C22×C4×C41—41no—
433C22×C4×C41—41no—
434C22×C4×C41—41no—
435C22×C4×C41—41no—
436C22×C4×C41—41no—
437C22×C4×C41—41no—
438C22×C4×C41—41no—
439C22×C4×C41—41no—
440C22×C4×C41#4114yes—
441C22×C4×C41C2411yescharacteristic
442C22×C4×C41C2411yescharacteristic
443C22×C4×C41C2411yescharacteristic
444C22×C4×C41C2411yescharacteristic
445C22×C4×C41C2411yescharacteristic
446C22×C4×C41C2411yescharacteristic
447C22×C4×C41C2411yescharacteristic
448C22×C4×C41C2411yescharacteristic
449C22×C4×C41C2411yescharacteristic
450C22×C4×C41C2411yescharacteristic
451C22×C4×C41C2411yescharacteristic
452C22×C4×C41C2411yescharacteristic
453C22×C4×C41C2411yescharacteristic
454C22×C4×C41C2411yescharacteristic
455C22×C4×C41C2411yescharacteristic
456C22×C4×C41C2411yescharacteristic
457C22×C4×C41C2411yescharacteristic
458C22×C4×C41C2411yescharacteristic
459C22×C4×C41C2411yescharacteristic
460C22×C4×C41C2411yescharacteristic
461C22×C4×C41C2411yescharacteristic
462C22×C4×C41C2411yescharacteristic
463C22×C4×C41C2411yescharacteristic
464C22×C4×C41C2411yescharacteristic
465C22×C4×C41C2411yescharacteristic
466C4⋊C4×C41—22no—
467C4⋊C4×C41—22no—
468C4⋊C4×C41—22no—
469C4⋊C4×C41—22no—
470C4⋊C4×C41—22no—
471C4⋊C4×C41—22no—
472C4⋊C4×C41—22no—
473C4⋊C4×C41—22no—
474C4⋊C4×C41—22no—
475C4⋊C4×C41—22no—
476C4⋊C4×C41—22no—
477C4⋊C4×C41—22no—
478C4⋊C4×C41—22no—
479C4⋊C4×C41—41no—
480C4⋊C4×C41—41no—
481C4⋊C4×C41—41no—
482C4⋊C4×C41—41no—
483C4⋊C4×C41—41no—
484C4⋊C4×C41—41no—
485C4⋊C4×C41—41no—
486C4⋊C4×C41—41no—
487C4⋊C4×C41—41no—
488C4⋊C4×C41—41no—
489C4⋊C4×C41—41no—
490C4⋊C4×C41—41no—
491C4⋊C4×C41—41no—
492C4⋊C4×C41—41no—
493C4⋊C4×C41—41no—
494C22⋊C4×C41—22no—
495C22⋊C4×C41—22no—
496C22⋊C4×C41—22no—
497C22⋊C4×C41—22no—
498C22⋊C4×C41—22no—
499C22⋊C4×C41—22no—
500C22⋊C4×C41—22no—
501C22⋊C4×C41—22no—
502C22⋊C4×C41—22no—
503C22⋊C4×C41—22no—
504C22⋊C4×C41—22no—
505C22⋊C4×C41—22no—
506C22⋊C4×C41—22no—
507C22⋊C4×C41—41no—
508C22⋊C4×C41—41no—
509C22⋊C4×C41—41no—
510C22⋊C4×C41—41no—
511C22⋊C4×C41—41no—
512C22⋊C4×C41—41no—
513C22⋊C4×C41—41no—
514C22⋊C4×C41—41no—
515C22⋊C4×C41—41no—
516C22⋊C4×C41—41no—
517C22⋊C4×C41—41no—
518C22⋊C4×C41—41no—
519C22⋊C4×C41—41no—
520C22⋊C4×C41—41no—
521C22⋊C4×C41—41no—
522C22⋊C4×C41—41no—
523C22⋊C4×C41—41no—
524C22⋊C4×C41—41no—
525C22⋊C4×C41—41no—
526C22⋊C4×C41—41no—
527C22⋊C4×C41—41no—
528C22⋊C4×C41—41no—
529C22⋊C4×C41—41no—
530C22⋊C4×C41—41no—
531C22⋊C4×C41—41no—
532C22⋊C4×C41—41no—
533C22⋊C4×C41—41no—
534C22⋊C4×C41—41no—
535C22⋊C4×C41—41no—
536C22⋊C4×C41—41no—
537C22⋊C4×C41—41no—
538C22⋊C4×C41—41no—
539C22⋊C4×C41—41no—
540C22⋊C4×C41—41no—
541C22⋊C4×C41—41no—
542C22⋊C4×C41—41no—
543C22⋊C4×C41—41no—
544C22⋊C4×C41—41no—
545C22⋊C4×C41—41no—
546C42×C41—22no—
547C42×C41—22no—
548C42×C41—22no—
549C42×C41—41no—
550C42×C41—41no—
551C42×C41—41no—
552C42×C41—41no—
553C42×C41—41no—
554C42×C41—41no—
555C42×C41—41no—
556C42×C41—41no—
557C23×C41—21no—
558C23×C41—21no—
559C23×C41—21no—
560C23×C41—21no—
561C23×C41—21no—
562C23×C41—21no—
563C23×C41—21no—
564C23×C41—21no—
565C23×C41—21no—
566C23×C41—21no—
567C23×C41—21no—
568C23×C41—21no—
569C23×C41—21no—
570C23×C41—21no—
571C23×C41—21no—
572C23×C41—21no—
573C23×C41—21no—
574C23×C41—21no—
575C23×C41—21no—
576C23×C41—21no—
577C23×C41—21no—
578C23×C41—21no—
579C23×C41—21no—
580C23×C41—21no—
581C23×C41—21no—
582C23×C41—21no—
583C23×C41—21no—
584C23×C41—21no—
585C23×C41—21no—
586C23×C41—21no—
587C23×C41—21no—
588C23×C41—21no—
589C23×C41—21no—
590C23×C41—21no—
591C23×C41—21no—
592C23×C41—21no—
593C23×C41—21no—
594C23×C41—21no—
595C23×C41—21no—
596C23×C41—21no—
597C23×C41—21no—
598C23×C41C2×#4112yes—
599C23×C41C2511yescharacteristic
600Q8×C41—82no—
601D4×C41—44no—
602D4×C41—82no—
603D4×C41—82no—
604D4×C41—82no—
605D4×C41—82no—
606D4×C41—82no—
607D4×C41—82no—
608D4×C41—82no—
609D4×C41—82no—
610D4×C41—82no—
611D4×C41—82no—
612D4×C41—82no—
613D4×C41—82no—
614D4×C41—82no—
615D4×C41—82no—
616C2×C4×C41—21no—
617C2×C4×C41—21no—
618C2×C4×C41—21no—
619C2×C4×C41—21no—
620C2×C4×C41—21no—
621C2×C4×C41—21no—
622C2×C4×C41—21no—
623C2×C4×C41—21no—
624C2×C4×C41—21no—
625C2×C4×C41—21no—
626C2×C4×C41—21no—
627C2×C4×C41—21no—
628C2×C4×C41—21no—
629C2×C4×C41—21no—
630C2×C4×C41—21no—
631C2×C4×C41—21no—
632C2×C4×C41—21no—
633C2×C4×C41—21no—
634C2×C4×C41—21no—
635C2×C4×C41—21no—
636C2×C4×C41—21no—
637C2×C4×C41—21no—
638C2×C4×C41—21no—
639C2×C4×C41—21no—
640C2×C4×C41—21no—
641C2×C4×C41—21no—
642C2×C4×C41—21no—
643C2×C4×C41—21no—
644C2×C4×C41—21no—
645C2×C4×C41—21no—
646C2×C4×C41—21no—
647C2×C4×C41—21no—
648C2×C4×C41—21no—
649C2×C4×C41—21no—
650C2×C4×C41—21no—
651C2×C4×C41—21no—
652C2×C4×C41—21no—
653C2×C4×C41—21no—
654C2×C4×C41—21no—
655C2×C4×C41—21no—
656C2×C4×C41—21no—
657C2×C4×C41—21no—
658C2×C4×C41—21no—
659C2×C4×C41—21no—
660C2×C4×C41—21no—
661C2×C4×C41—21no—
662C2×C4×C41—21no—
663C2×C4×C41—21no—
664C2×C4×C41—21no—
665C2×C4×C41—21no—
666C2×C4×C41—21no—
667C2×C4×C41—21no—
668C2×C4×C41—21no—
669C2×C4×C41—21no—
670C2×C4×C41—21no—
671C2×C4×C41—21no—
672C2×C4×C41—21no—
673C2×C4×C41—21no—
674C2×C4×C41—21no—
675C2×C4×C41—21no—
676C2×C4×C41—21no—
677C2×C4×C41—21no—
678C2×C4×C41—21no—
679C2×C4×C41—21no—
680C2×C4×C41—21no—
681C2×C4×C41—21no—
682C2×C4×C41—21no—
683C2×C4×C41—21no—
684C2×C4×C41—21no—
685C2×C4×C41—21no—
686C2×C4×C41—44no—
687C2×C4×C41—44no—
688C2×C4×C41—44no—
689C2×C4×C41—44no—
690C2×C4×C41—82no—
691C2×C4×C41—82no—
692C2×C4×C41—82no—
693C2×C4×C41—82no—
694C2×C4×C41C2×#4112yes—
695C2×C4×C41C2×#4112yes—
696C2×C4×C41H(5,𝔽2)12yes—
697C2×C4×C41H(5,𝔽2)12yes—
698C2×C4×C41H(5,𝔽2)12yes—
699#36771C4111yesmaximal, characteristic, direct product factor, Sylow
700C22×C41—22no—
701C22×C41—22no—
702C22×C41—22no—
703C22×C41—41no—
704C22×C41—41no—
705C22×C41—41no—
706C22×C41—41no—
707C22×C41—41no—
708C22×C41—41no—
709C22×C41—41no—
710C22×C41—41no—
711C22×C41—41no—
712C22×C41—41no—
713C22×C41—41no—
714C22×C41—41no—
715C22×C41—41no—
716C22×C41—41no—
717C22×C41—41no—
718C22×C41—41no—
719C22×C41—41no—
720C22×C41—41no—
721C22×C41—41no—
722C22×C41—41no—
723C22×C41—41no—
724C22×C41—41no—
725C22×C41—41no—
726C22×C41—41no—
727C22×C41—41no—
728C22×C41—41no—
729C22×C41—41no—
730C22×C41—41no—
731C22×C41—41no—
732C22×C41—41no—
733C22×C41—41no—
734C22×C41—41no—
735C22×C41—41no—
736C22×C41—41no—
737C22×C41—41no—
738C22×C41—41no—
739C22×C41—41no—
740C22×C41—41no—
741C22×C41—41no—
742C22×C41C22×#4111yescharacteristic
743C22×C41C2×H(5,𝔽2)11yescharacteristic
744C22×C41C2×H(5,𝔽2)11yescharacteristic
745C22×C41C2×H(5,𝔽2)11yescharacteristic
746C22×C41#58511yescharacteristic
747C22×C41#58511yescharacteristic
748C22×C41#58511yescharacteristic
749C4×C41—22no—
750C4×C41—22no—
751C4×C41—22no—
752C4×C41—22no—
753C4×C41—22no—
754C4×C41—41no—
755C4×C41—41no—
756C4×C41—41no—
757C4×C41—41no—
758C4×C41—41no—
759C4×C41—41no—
760C4×C41—41no—
761C4×C41—41no—
762C4×C41—41no—
763C4×C41—41no—
764C4×C41—41no—
765C4×C41—41no—
766C4×C41—41no—
767C4×C41—41no—
768C4×C41—41no—
769C4×C41—41no—
770C4×C41—41no—
771C4×C41—41no—
772C4×C41—41no—
773C4×C41—41no—
774#2856C2×C4111yescharacteristic, complemented
775#2855C2×C4111yescharacteristic, complemented
776#2796C2×C4111yescharacteristic, complemented
777#2794C2×C4111yescharacteristic, complemented
778#2751C2×C4111yescharacteristic, complemented
779#2730C2×C4111yescharacteristic, complemented
780#2721C2×C4111yescharacteristic, complemented
781#2714C2×C4111yescharacteristic, complemented
782#2711C2×C4111yescharacteristic, complemented
783#2709C2×C4111yescharacteristic, complemented
784#2708C2×C4111yescharacteristic, complemented
785#2705C2×C4111yescharacteristic, complemented
786#2703C2×C4111yescharacteristic, complemented
787#2691C2×C4111yescharacteristic, complemented
788#2688C2×C4111yescharacteristic, complemented
789#2681C2×C4111yescharacteristic, complemented
790#2676C2×C4111yescharacteristic, complemented
791#2673C2×C4111yescharacteristic, complemented
792#2635C2×C4111yescharacteristic, complemented
793#2635C2×C4111yescharacteristic, complemented
794#2560C2×C4111yescharacteristic, complemented
795#2559C2×C4111yescharacteristic, complemented
796#2558C2×C4111yescharacteristic, complemented
797#2557C2×C4111yescharacteristic, complemented
798#2531C2×C4111yescharacteristic, complemented
799#2526C2×C4111yescharacteristic, complemented
800#2476C2×C4111yescharacteristic, complemented
801#2471C2×C4111yescharacteristic, complemented
802#2333C2×C4111yescharacteristic, complemented
803#2333C2×C4111yescharacteristic, complemented
804#2290C2×C4111yescharacteristic, complemented
805C2×C41—42no—
806C2×C41—81no—
807C2×C41—81no—
808C2×C41—81no—
809C2×C41—81no—
810C2×C41—81no—
811C2×C41#345511yescharacteristic
812C2×C41#350511yescharacteristic
813C2×C41#350811yescharacteristic
814C2×C41#353411yescharacteristic
815C2×C41#354211yescharacteristic
816C2×C41#355111yescharacteristic
817C2×C41#356211yescharacteristic
818C2×#127C22×C4111yescharacteristic
819C2×#126C22×C4111yescharacteristic
820C2×#126C22×C4111yescharacteristic
821C2×#125C22×C4111yescharacteristic
822C2×#124C22×C4111yescharacteristic
823C2×#123C22×C4111yescharacteristic
824C2×#123C22×C4111yescharacteristic
825C2×#123C22×C4111yescharacteristic
826C2×C22⋊Q8C22×C4111yescharacteristic
827C2×C22⋊Q8C22×C4111yescharacteristic
828C2×#121C22×C4111yescharacteristic
829C2×#121C22×C4111yescharacteristic
830C2×#121C22×C4111yescharacteristic
831C2×#121C22×C4111yescharacteristic
832C2×#121C22×C4111yescharacteristic
833C2×#121C22×C4111yescharacteristic
834C2×#121C22×C4111yescharacteristic
835C2×#121C22×C4111yescharacteristic
836C2×C4×D4C22×C4111yescharacteristic
837C2×#117C22×C4111yescharacteristic
838C22×C42C22×C4111yescharacteristic
839#400C22×C4111yescharacteristic
840#400C22×C4111yescharacteristic
841#400C22×C4111yescharacteristic
842#400C22×C4111yescharacteristic
843#400C22×C4111yescharacteristic
844#399C22×C4111yescharacteristic
845#399C22×C4111yescharacteristic
846#399C22×C4111yescharacteristic
847#398C22×C4111yescharacteristic
848#398C22×C4111yescharacteristic
849#398C22×C4111yescharacteristic
850#397C22×C4111yescharacteristic
851#397C22×C4111yescharacteristic
852#397C22×C4111yescharacteristic
853#397C22×C4111yescharacteristic
854#397C22×C4111yescharacteristic
855#397C22×C4111yescharacteristic
856#397C22×C4111yescharacteristic
857#396C22×C4111yescharacteristic
858#396C22×C4111yescharacteristic
859#396C22×C4111yescharacteristic
860#396C22×C4111yescharacteristic
861#394C22×C4111yescharacteristic
862#394C22×C4111yescharacteristic
863#394C22×C4111yescharacteristic
864#394C22×C4111yescharacteristic
865#394C22×C4111yescharacteristic
866#394C22×C4111yescharacteristic
867#394C22×C4111yescharacteristic
868#394C22×C4111yescharacteristic
869#394C22×C4111yescharacteristic
870#394C22×C4111yescharacteristic
871#394C22×C4111yescharacteristic
872#394C22×C4111yescharacteristic
873#394C22×C4111yescharacteristic
874#394C22×C4111yescharacteristic
875#394C22×C4111yescharacteristic
876#394C22×C4111yescharacteristic
877#393C22×C4111yescharacteristic
878#393C22×C4111yescharacteristic
879#392C22×C4111yescharacteristic
880#392C22×C4111yescharacteristic
881#392C22×C4111yescharacteristic
882#392C22×C4111yescharacteristic
883#392C22×C4111yescharacteristic
884#392C22×C4111yescharacteristic
885#392C22×C4111yescharacteristic
886#392C22×C4111yescharacteristic
887#391C22×C4111yescharacteristic
888#391C22×C4111yescharacteristic
889#390C22×C4111yescharacteristic
890#390C22×C4111yescharacteristic
891#390C22×C4111yescharacteristic
892#390C22×C4111yescharacteristic
893#390C22×C4111yescharacteristic
894#390C22×C4111yescharacteristic
895#390C22×C4111yescharacteristic
896#390C22×C4111yescharacteristic
897#390C22×C4111yescharacteristic
898#390C22×C4111yescharacteristic
899#390C22×C4111yescharacteristic
900#389C22×C4111yescharacteristic
901#389C22×C4111yescharacteristic
902#389C22×C4111yescharacteristic
903#388C22×C4111yescharacteristic
904#388C22×C4111yescharacteristic
905#388C22×C4111yescharacteristic
906#388C22×C4111yescharacteristic
907#388C22×C4111yescharacteristic
908#388C22×C4111yescharacteristic
909#388C22×C4111yescharacteristic
910#388C22×C4111yescharacteristic
911#388C22×C4111yescharacteristic
912#388C22×C4111yescharacteristic
913#388C22×C4111yescharacteristic
914#388C22×C4111yescharacteristic
915#388C22×C4111yescharacteristic
916#388C22×C4111yescharacteristic
917#388C22×C4111yescharacteristic
918#388C22×C4111yescharacteristic
919#387C22×C4111yescharacteristic
920#387C22×C4111yescharacteristic
921#387C22×C4111yescharacteristic
922#387C22×C4111yescharacteristic
923#387C22×C4111yescharacteristic
924#387C22×C4111yescharacteristic
925#387C22×C4111yescharacteristic
926#387C22×C4111yescharacteristic
927#387C22×C4111yescharacteristic
928#387C22×C4111yescharacteristic
929#387C22×C4111yescharacteristic
930#387C22×C4111yescharacteristic
931#387C22×C4111yescharacteristic
932#387C22×C4111yescharacteristic
933#386C22×C4111yescharacteristic
934#386C22×C4111yescharacteristic
935#386C22×C4111yescharacteristic
936#386C22×C4111yescharacteristic
937#386C22×C4111yescharacteristic
938#386C22×C4111yescharacteristic
939#386C22×C4111yescharacteristic
940#386C22×C4111yescharacteristic
941#386C22×C4111yescharacteristic
942#386C22×C4111yescharacteristic
943#386C22×C4111yescharacteristic
944#386C22×C4111yescharacteristic
945#386C22×C4111yescharacteristic
946#386C22×C4111yescharacteristic
947#386C22×C4111yescharacteristic
948#386C22×C4111yescharacteristic
949#386C22×C4111yescharacteristic
950#386C22×C4111yescharacteristic
951#386C22×C4111yescharacteristic
952#385C22×C4111yescharacteristic
953#385C22×C4111yescharacteristic
954#385C22×C4111yescharacteristic
955#385C22×C4111yescharacteristic
956#385C22×C4111yescharacteristic
957#385C22×C4111yescharacteristic
958#385C22×C4111yescharacteristic
959#384C22×C4111yescharacteristic
960#381C22×C4111yescharacteristic
961#381C22×C4111yescharacteristic
962#381C22×C4111yescharacteristic
963#380C22×C4111yescharacteristic
964#380C22×C4111yescharacteristic
965C4×C4⋊C4C22×C4111yescharacteristic
966C4×C22⋊C4C22×C4111yescharacteristic
967C4×C22⋊C4C22×C4111yescharacteristic
968C4×C22⋊C4C22×C4111yescharacteristic
969C4×C22⋊C4C22×C4111yescharacteristic
970C4×C22⋊C4C22×C4111yescharacteristic
971C4×C22⋊C4C22×C4111yescharacteristic
972#376C22×C4111yescharacteristic
973C41#3677111yescharacteristic, direct product factor, Sylow
974C22×Q8C23×C4111yescharacteristic
975C22×D4C23×C4111yescharacteristic
976C22×D4C23×C4111yescharacteristic
977C22×D4C23×C4111yescharacteristic
978C22×D4C23×C4111yescharacteristic
979C22×D4C23×C4111yescharacteristic
980C22×D4C23×C4111yescharacteristic
981C22×D4C23×C4111yescharacteristic
982C22×D4C23×C4111yescharacteristic
983C22×D4C23×C4111yescharacteristic
984C22×D4C23×C4111yescharacteristic
985C22×D4C23×C4111yescharacteristic
986C22×D4C23×C4111yescharacteristic
987C22×D4C23×C4111yescharacteristic
988C22×D4C23×C4111yescharacteristic
989C22×D4C23×C4111yescharacteristic
990C23×C4C23×C4111yescharacteristic
991C23×C4C23×C4111yescharacteristic
992C23×C4C23×C4111yescharacteristic
993C23×C4C23×C4111yescharacteristic
994C23×C4C23×C4111yescharacteristic
995C23×C4C23×C4111yescharacteristic
996C23×C4C23×C4111yescharacteristic
997C23×C4C23×C4111yescharacteristic
998#127—42no—
999#126—42no—
1000#126—42no—
1001#125—42no—
1002#124—42no—
1003#123—42no—
1004#123—42no—
1005#123—42no—
1006C22⋊Q8—42no—
1007C22⋊Q8—42no—
1008#121—24no—
1009#121—24no—
1010#121—42no—
1011#121—42no—
1012#121—42no—
1013#121—42no—
1014#121—42no—
1015#121—42no—
1016C4×D4—24no—
1017#117—42no—
1018C2×C4⋊C4C23×C4111yescharacteristic
1019C2×C4⋊C4C23×C4111yescharacteristic
1020C2×C4⋊C4C23×C4111yescharacteristic
1021C2×C4⋊C4C23×C4111yescharacteristic
1022C2×C4⋊C4C23×C4111yescharacteristic
1023C2×C4⋊C4C23×C4111yescharacteristic
1024C2×C4⋊C4C23×C4111yescharacteristic
1025C2×C4⋊C4C23×C4111yescharacteristic
1026C2×C4⋊C4C23×C4111yescharacteristic
1027C2×C4⋊C4C23×C4111yescharacteristic
1028C2×C4⋊C4C23×C4111yescharacteristic
1029C2×C4⋊C4C23×C4111yescharacteristic
1030C2×C4⋊C4C23×C4111yescharacteristic
1031C2×C4⋊C4C23×C4111yescharacteristic
1032C2×C4⋊C4C23×C4111yescharacteristic
1033C2×C4⋊C4C23×C4111yescharacteristic
1034C2×C4⋊C4C23×C4111yescharacteristic
1035C2×C4⋊C4C23×C4111yescharacteristic
1036C2×C4⋊C4C23×C4111yescharacteristic
1037C2×C4⋊C4C23×C4111yescharacteristic
1038C2×C4⋊C4C23×C4111yescharacteristic
1039C2×C4⋊C4C23×C4111yescharacteristic
1040C2×C4⋊C4C23×C4111yescharacteristic
1041C2×C4⋊C4C23×C4111yescharacteristic
1042C2×C4⋊C4C23×C4111yescharacteristic
1043C2×C4⋊C4C23×C4111yescharacteristic
1044C2×C4⋊C4C23×C4111yescharacteristic
1045C2×C4⋊C4C23×C4111yescharacteristic
1046C2×C22⋊C4C23×C4111yescharacteristic
1047C2×C22⋊C4C23×C4111yescharacteristic
1048C2×C22⋊C4C23×C4111yescharacteristic
1049C2×C22⋊C4C23×C4111yescharacteristic
1050C2×C22⋊C4C23×C4111yescharacteristic
1051C2×C22⋊C4C23×C4111yescharacteristic
1052C2×C22⋊C4C23×C4111yescharacteristic
1053C2×C22⋊C4C23×C4111yescharacteristic
1054C2×C22⋊C4C23×C4111yescharacteristic
1055C2×C22⋊C4C23×C4111yescharacteristic
1056C2×C22⋊C4C23×C4111yescharacteristic
1057C2×C22⋊C4C23×C4111yescharacteristic
1058C2×C22⋊C4C23×C4111yescharacteristic
1059C2×C22⋊C4C23×C4111yescharacteristic
1060C2×C22⋊C4C23×C4111yescharacteristic
1061C2×C22⋊C4C23×C4111yescharacteristic
1062C2×C22⋊C4C23×C4111yescharacteristic
1063C2×C22⋊C4C23×C4111yescharacteristic
1064C2×C22⋊C4C23×C4111yescharacteristic
1065C2×C22⋊C4C23×C4111yescharacteristic
1066C2×C22⋊C4C23×C4111yescharacteristic
1067C2×C22⋊C4C23×C4111yescharacteristic
1068C2×C22⋊C4C23×C4111yescharacteristic
1069C2×C22⋊C4C23×C4111yescharacteristic
1070C2×C22⋊C4C23×C4111yescharacteristic
1071C2×C22⋊C4C23×C4111yescharacteristic
1072C2×C22⋊C4C23×C4111yescharacteristic
1073C2×C22⋊C4C23×C4111yescharacteristic
1074C2×C22⋊C4C23×C4111yescharacteristic
1075C2×C22⋊C4C23×C4111yescharacteristic
1076C2×C22⋊C4C23×C4111yescharacteristic
1077C2×C22⋊C4C23×C4111yescharacteristic
1078C2×C22⋊C4C23×C4111yescharacteristic
1079C2×C22⋊C4C23×C4111yescharacteristic
1080C2×C22⋊C4C23×C4111yescharacteristic
1081C2×C22⋊C4C23×C4111yescharacteristic
1082C2×C22⋊C4C23×C4111yescharacteristic
1083C2×C22⋊C4C23×C4111yescharacteristic
1084C2×C22⋊C4C23×C4111yescharacteristic
1085C2×C22⋊C4C23×C4111yescharacteristic
1086C2×C22⋊C4C23×C4111yescharacteristic
1087C2×C22⋊C4C23×C4111yescharacteristic
1088C2×C22⋊C4C23×C4111yescharacteristic
1089C2×C22⋊C4C23×C4111yescharacteristic
1090C2×C22⋊C4C23×C4111yescharacteristic
1091C2×C22⋊C4C23×C4111yescharacteristic
1092C2×C22⋊C4C23×C4111yescharacteristic
1093C2×C22⋊C4C23×C4111yescharacteristic
1094C2×C22⋊C4C23×C4111yescharacteristic
1095C2×C22⋊C4C23×C4111yescharacteristic
1096C2×C22⋊C4C23×C4111yescharacteristic
1097C2×C22⋊C4C23×C4111yescharacteristic
1098C2×C42—42no—
1099C2×C42C23×C4111yescharacteristic
1100C2×C42C23×C4111yescharacteristic
1101C2×C42C23×C4111yescharacteristic
1102C2×C42C23×C4111yescharacteristic
1103C2×C42C23×C4111yescharacteristic
1104C2×C42C23×C4111yescharacteristic
1105C2×C42C23×C4111yescharacteristic
1106C2×C42C23×C4111yescharacteristic
1107C2×C42C23×C4111yescharacteristic
1108C2×C42C23×C4111yescharacteristic
1109C2×C42C23×C4111yescharacteristic
1110#95C23×C4111yescharacteristic
1111#95C23×C4111yescharacteristic
1112#95C23×C4111yescharacteristic
1113#95C23×C4111yescharacteristic
1114#95C23×C4111yescharacteristic
1115#95C23×C4111yescharacteristic
1116#95C23×C4111yescharacteristic
1117#95C23×C4111yescharacteristic
1118#95C23×C4111yescharacteristic
1119#95C23×C4111yescharacteristic
1120#95C23×C4111yescharacteristic
1121#95C23×C4111yescharacteristic
1122#95C23×C4111yescharacteristic
1123#95C23×C4111yescharacteristic
1124#95C23×C4111yescharacteristic
1125#95C23×C4111yescharacteristic
1126#95C23×C4111yescharacteristic
1127#95C23×C4111yescharacteristic
1128#95C23×C4111yescharacteristic
1129#95C23×C4111yescharacteristic
1130#95C23×C4111yescharacteristic
1131#95C23×C4111yescharacteristic
1132#95C23×C4111yescharacteristic
1133#95C23×C4111yescharacteristic
1134#95C23×C4111yescharacteristic
1135#95C23×C4111yescharacteristic
1136#95C23×C4111yescharacteristic
1137#95C23×C4111yescharacteristic
1138#95C23×C4111yescharacteristic
1139#95C23×C4111yescharacteristic
1140#95C23×C4111yescharacteristic
1141#95C23×C4111yescharacteristic
1142#95C23×C4111yescharacteristic
1143#95C23×C4111yescharacteristic
1144#95C23×C4111yescharacteristic
1145#95C23×C4111yescharacteristic
1146#95C23×C4111yescharacteristic
1147#95C23×C4111yescharacteristic
1148#95C23×C4111yescharacteristic
1149#95C23×C4111yescharacteristic
1150C24C24×C4111yescharacteristic
1151C24C24×C4111yescharacteristic
1152C24C24×C4111yescharacteristic
1153C24C24×C4111yescharacteristic
1154C24C24×C4111yescharacteristic
1155C24C24×C4111yescharacteristic
1156C2×Q8—22no—
1157C2×Q8—41no—
1158C2×Q8—41no—
1159C2×D4—22no—
1160C2×D4—22no—
1161C2×D4—22no—
1162C2×D4—22no—
1163C2×D4—22no—
1164C2×D4—22no—
1165C2×D4—22no—
1166C2×D4—22no—
1167C2×D4—22no—
1168C2×D4—22no—
1169C2×D4—22no—
1170C2×D4—41no—
1171C2×D4—41no—
1172C2×D4—41no—
1173C2×D4—41no—
1174C2×D4—41no—
1175C2×D4—41no—
1176C2×D4—41no—
1177C2×D4—41no—
1178C2×D4—41no—
1179C2×D4—41no—
1180C2×D4—41no—
1181C2×D4—41no—
1182C2×D4—41no—
1183C2×D4—41no—
1184C2×D4—41no—
1185C2×D4—41no—
1186C2×D4—41no—
1187C2×D4—41no—
1188C2×D4—41no—
1189C2×D4—41no—
1190C2×D4—41no—
1191C2×D4—41no—
1192C2×D4—41no—
1193C2×D4—41no—
1194C2×D4—41no—
1195C2×D4—41no—
1196C2×D4—41no—
1197C2×D4—41no—
1198C2×D4—41no—
1199C2×D4—41no—
1200C2×D4—41no—
1201C2×D4—41no—
1202C2×D4—41no—
1203C2×D4—41no—
1204C22×C4—22no—
1205C22×C4—22no—
1206C22×C4—22no—
1207C22×C4—22no—
1208C22×C4—41no—
1209C22×C4—41no—
1210C22×C4—41no—
1211C22×C4—41no—
1212C22×C4—41no—
1213C22×C4—41no—
1214C22×C4—41no—
1215C22×C4—41no—
1216C22×C4—41no—
1217C22×C4—41no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—41no—
1224C22×C4—41no—
1225C22×C4—41no—
1226C22×C4—41no—
1227C22×C4#41×C4114yes—
1228C22×C4C24×C4111yescharacteristic
1229C22×C4C24×C4111yescharacteristic
1230C22×C4C24×C4111yescharacteristic
1231C22×C4C24×C4111yescharacteristic
1232C22×C4C24×C4111yescharacteristic
1233C22×C4C24×C4111yescharacteristic
1234C22×C4C24×C4111yescharacteristic
1235C22×C4C24×C4111yescharacteristic
1236C22×C4C24×C4111yescharacteristic
1237C22×C4C24×C4111yescharacteristic
1238C22×C4C24×C4111yescharacteristic
1239C22×C4C24×C4111yescharacteristic
1240C22×C4C24×C4111yescharacteristic
1241C22×C4C24×C4111yescharacteristic
1242C22×C4C24×C4111yescharacteristic
1243C22×C4C24×C4111yescharacteristic
1244C22×C4C24×C4111yescharacteristic
1245C22×C4C24×C4111yescharacteristic
1246C22×C4C24×C4111yescharacteristic
1247C22×C4C24×C4111yescharacteristic
1248C22×C4C24×C4111yescharacteristic
1249C22×C4C24×C4111yescharacteristic
1250C22×C4C24×C4111yescharacteristic
1251C22×C4C24×C4111yescharacteristic
1252C22×C4C24×C4111yescharacteristic
1253C4⋊C4—22no—
1254C4⋊C4—22no—
1255C4⋊C4—22no—
1256C4⋊C4—22no—
1257C4⋊C4—22no—
1258C4⋊C4—22no—
1259C4⋊C4—22no—
1260C4⋊C4—22no—
1261C4⋊C4—22no—
1262C4⋊C4—22no—
1263C4⋊C4—22no—
1264C4⋊C4—22no—
1265C4⋊C4—22no—
1266C4⋊C4—41no—
1267C4⋊C4—41no—
1268C4⋊C4—41no—
1269C4⋊C4—41no—
1270C4⋊C4—41no—
1271C4⋊C4—41no—
1272C4⋊C4—41no—
1273C4⋊C4—41no—
1274C4⋊C4—41no—
1275C4⋊C4—41no—
1276C4⋊C4—41no—
1277C4⋊C4—41no—
1278C4⋊C4—41no—
1279C4⋊C4—41no—
1280C4⋊C4—41no—
1281C22⋊C4—22no—
1282C22⋊C4—22no—
1283C22⋊C4—22no—
1284C22⋊C4—22no—
1285C22⋊C4—22no—
1286C22⋊C4—22no—
1287C22⋊C4—22no—
1288C22⋊C4—22no—
1289C22⋊C4—22no—
1290C22⋊C4—22no—
1291C22⋊C4—22no—
1292C22⋊C4—22no—
1293C22⋊C4—22no—
1294C22⋊C4—41no—
1295C22⋊C4—41no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4—41no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—41no—
1307C22⋊C4—41no—
1308C22⋊C4—41no—
1309C22⋊C4—41no—
1310C22⋊C4—41no—
1311C22⋊C4—41no—
1312C22⋊C4—41no—
1313C22⋊C4—41no—
1314C22⋊C4—41no—
1315C22⋊C4—41no—
1316C22⋊C4—41no—
1317C22⋊C4—41no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—41no—
1326C22⋊C4—41no—
1327C22⋊C4—41no—
1328C22⋊C4—41no—
1329C22⋊C4—41no—
1330C22⋊C4—41no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C42—22no—
1334C42—22no—
1335C42—22no—
1336C42—41no—
1337C42—41no—
1338C42—41no—
1339C42—41no—
1340C42—41no—
1341C42—41no—
1342C42—41no—
1343C42—41no—
1344C23—21no—
1345C23—21no—
1346C23—21no—
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23C2×#41×C4112yes—
1386C23C25×C4111yescharacteristic
1387Q8—82no—
1388D4—44no—
1389D4—82no—
1390D4—82no—
1391D4—82no—
1392D4—82no—
1393D4—82no—
1394D4—82no—
1395D4—82no—
1396D4—82no—
1397D4—82no—
1398D4—82no—
1399D4—82no—
1400D4—82no—
1401D4—82no—
1402D4—82no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—44no—
1474C2×C4—44no—
1475C2×C4—44no—
1476C2×C4—44no—
1477C2×C4—82no—
1478C2×C4—82no—
1479C2×C4—82no—
1480C2×C4—82no—
1481C2×C4C2×#41×C4112yes—
1482C2×C4C2×#41×C4112yes—
1483C2×C4H(5,𝔽2)×C4112yes—
1484C2×C4H(5,𝔽2)×C4112yes—
1485C2×C4H(5,𝔽2)×C4112yes—
1486C22—22no—
1487C22—22no—
1488C22—22no—
1489C22—41no—
1490C22—41no—
1491C22—41no—
1492C22—41no—
1493C22—41no—
1494C22—41no—
1495C22—41no—
1496C22—41no—
1497C22—41no—
1498C22—41no—
1499C22—41no—
1500C22—41no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22C22×#41×C4111yescharacteristic
1529C22C2×H(5,𝔽2)×C4111yescharacteristic
1530C22C2×H(5,𝔽2)×C4111yescharacteristic
1531C22C2×H(5,𝔽2)×C4111yescharacteristic
1532C22C41×#58511yescharacteristic
1533C22C41×#58511yescharacteristic
1534C22C41×#58511yescharacteristic
1535C4—22no—
1536C4—22no—
1537C4—22no—
1538C4—22no—
1539C4—22no—
1540C4—41no—
1541C4—41no—
1542C4—41no—
1543C4—41no—
1544C4—41no—
1545C4—41no—
1546C4—41no—
1547C4—41no—
1548C4—41no—
1549C4—41no—
1550C4—41no—
1551C4—41no—
1552C4—41no—
1553C4—41no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C2—42no—
1561C2—81no—
1562C2—81no—
1563C2—81no—
1564C2—81no—
1565C2—81no—
1566C2C41×#345511yescharacteristic
1567C2C41×#350511yescharacteristic
1568C2C41×#350811yescharacteristic
1569C2C41×#353411yescharacteristic
1570C2C41×#354211yescharacteristic
1571C2C41×#355111yescharacteristic
1572C2C41×#356211yescharacteristic
subgroupG/H
center, socleC23×C41C25
commutator, Frattini, cosocleC23C25×C41
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C41 ◁ G

Complements

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

NH ≅ G/Ntype
1. C41×#2856C2semidirect
2. C41×#2855C2semidirect
3. C41×#2796C2semidirect
4. C41×#2794C2semidirect
5. C41×#2751C2semidirect
6. C41×#2730C2semidirect
7. C41×#2721C2semidirect
8. C41×#2714C2semidirect
9. C41×#2711C2semidirect
10. C41×#2709C2semidirect
11. C41×#2708C2semidirect
12. C41×#2705C2semidirect
13. C41×#2703C2semidirect
14. C41×#2691C2semidirect
15. C41×#2688C2semidirect
16. C41×#2681C2semidirect
17. C41×#2676C2semidirect
18. C41×#2673C2semidirect
19. C41×#2635C2semidirect
20. C41×#2635C2semidirect
21. C41×#2560C2semidirect
22. C41×#2559C2semidirect
23. C41×#2558C2semidirect
24. C41×#2557C2semidirect
25. C41×#2531C2semidirect
26. C41×#2526C2semidirect
27. C41×#2476C2semidirect
28. C41×#2471C2semidirect
29. C41×#2333C2semidirect
30. C41×#2333C2semidirect
31. C41×#2290C2semidirect
699. #36771C41direct (N × H)
774. #2856C2×C41semidirect
775. #2855C2×C41semidirect
776. #2796C2×C41semidirect
777. #2794C2×C41semidirect
778. #2751C2×C41semidirect
779. #2730C2×C41semidirect
780. #2721C2×C41semidirect
781. #2714C2×C41semidirect
782. #2711C2×C41semidirect
783. #2709C2×C41semidirect
784. #2708C2×C41semidirect
785. #2705C2×C41semidirect
786. #2703C2×C41semidirect
787. #2691C2×C41semidirect
788. #2688C2×C41semidirect
789. #2681C2×C41semidirect
790. #2676C2×C41semidirect
791. #2673C2×C41semidirect
792. #2635C2×C41semidirect
793. #2635C2×C41semidirect
794. #2560C2×C41semidirect
795. #2559C2×C41semidirect
796. #2558C2×C41semidirect
797. #2557C2×C41semidirect
798. #2531C2×C41semidirect
799. #2526C2×C41semidirect
800. #2476C2×C41semidirect
801. #2471C2×C41semidirect
802. #2333C2×C41semidirect
803. #2333C2×C41semidirect
804. #2290C2×C41semidirect
973. C41#36771direct (N × H)

Maximal subgroups

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

subgroupindex
C41×#28562
C41×#28552
C41×#27962
C41×#27942
C41×#27512
C41×#27302
C41×#27212
C41×#27142
C41×#27112
C41×#27092
C41×#27082
C41×#27052
C41×#27032
C41×#26912
C41×#26882
C41×#26812
C41×#26762
C41×#26732
C41×#26352
C41×#25602
C41×#25592
C41×#25582
C41×#25572
C41×#25312
C41×#25262
C41×#24762
C41×#24712
C41×#23332
C41×#22902
#3677141