Finite Group Databasebeta

← C41×#36754 #23812955

Subgroups — C41×#36754 #23812955

Order 10496.

1588 conjugacy classes of subgroups.

The subgroup lattice has 1366 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C41×#2857C211yesmaximal, characteristic, complemented
2C41×#2855C211yesmaximal, characteristic, complemented
3C41×#2802C211yesmaximal, characteristic, complemented
4C41×#2792C211yesmaximal, characteristic, complemented
5C41×#2790C211yesmaximal, characteristic, complemented
6C41×#2788C211yesmaximal, characteristic, complemented
7C41×#2784C211yesmaximal, characteristic
8C41×#2780C211yesmaximal, characteristic
9C41×#2774C211yesmaximal, characteristic, complemented
10C41×#2768C211yesmaximal, characteristic, complemented
11C41×#2734C211yesmaximal, characteristic, complemented
12C41×#2729C211yesmaximal, characteristic, complemented
13C41×#2729C211yesmaximal, characteristic, complemented
14C41×#2704C211yesmaximal, characteristic, complemented
15C41×#2704C211yesmaximal, characteristic, complemented
16C41×#2692C211yesmaximal, characteristic
17C41×#2683C211yesmaximal, characteristic
18C41×#2677C211yesmaximal, characteristic, complemented
19C41×#2667C211yesmaximal, characteristic, complemented
20C41×#2665C211yesmaximal, characteristic, complemented
21C41×#2612C211yesmaximal, characteristic, complemented
22C41×#2608C211yesmaximal, characteristic, complemented
23C41×#2606C211yesmaximal, characteristic, complemented
24C41×#2605C211yesmaximal, characteristic, complemented
25C41×#2550C211yesmaximal, characteristic, complemented
26C41×#2549C211yesmaximal, characteristic, complemented
27C41×#2439C211yesmaximal, characteristic, complemented
28C41×#2438C211yesmaximal, characteristic, complemented
29C41×#2319C211yesmaximal, characteristic
30C41×#2318C211yesmaximal, characteristic
31C41×#2290C211yesmaximal, characteristic
32C2×C4⋊Q8×C41C2211yescharacteristic
33C2×C4⋊Q8×C41C2211yescharacteristic
34C2×C4⋊Q8×C41C2211yescharacteristic
35C2×#125×C41C2211yescharacteristic
36C2×C22⋊Q8×C41C2211yescharacteristic
37C2×C22⋊Q8×C41C2211yescharacteristic
38C2×C22⋊Q8×C41C2211yescharacteristic
39C2×C22⋊Q8×C41C2211yescharacteristic
40C2×C22⋊Q8×C41C2211yescharacteristic
41C2×C22⋊Q8×C41C2211yescharacteristic
42C2×C4×D4×C41C2211yescharacteristic
43C2×#117×C41C2211yescharacteristic
44C22×C42×C41C2211yescharacteristic
45C41×#400C2211yescharacteristic
46C41×#400C2211yescharacteristic
47C41×#400C2211yescharacteristic
48C41×#400C2211yescharacteristic
49C41×#400C2211yescharacteristic
50C41×#400C2211yescharacteristic
51C41×#399C2211yescharacteristic
52C41×#399C2211yescharacteristic
53C41×#398C2211yescharacteristic
54C41×#398C2211yescharacteristic
55C41×#398C2211yescharacteristic
56C41×#398C2211yescharacteristic
57C41×#398C2211yescharacteristic
58C41×#398C2211yescharacteristic
59C41×#398C2211yescharacteristic
60C41×#398C2211yescharacteristic
61C41×#398C2211yescharacteristic
62C41×#398C2211yescharacteristic
63C41×#398C2211yescharacteristic
64C41×#398C2211yescharacteristic
65C41×#398C2211yescharacteristic
66C41×#398C2211yescharacteristic
67C41×#398C2211yescharacteristic
68C41×#398C2211yescharacteristic
69C41×#396C2211yescharacteristic
70C41×#396C2211yescharacteristic
71C41×#396C2211yescharacteristic
72C41×#396C2211yescharacteristic
73C41×#396C2211yescharacteristic
74C41×#396C2211yescharacteristic
75C41×#396C2211yescharacteristic
76C41×#396C2211yescharacteristic
77C41×#396C2211yescharacteristic
78C41×#396C2211yescharacteristic
79C41×#395C2211yescharacteristic
80C41×#395C2211yescharacteristic
81C41×#395C2211yescharacteristic
82C41×#395C2211yescharacteristic
83C41×#395C2211yescharacteristic
84C41×#395C2211yescharacteristic
85C41×#395C2211yescharacteristic
86C41×#395C2211yescharacteristic
87C41×#395C2211yescharacteristic
88C41×#395C2211yescharacteristic
89C41×#393C2211yescharacteristic
90C41×#393C2211yescharacteristic
91C41×#393C2211yescharacteristic
92C41×#393C2211yescharacteristic
93C41×#391C2211yescharacteristic
94C41×#391C2211yescharacteristic
95C41×#391C2211yescharacteristic
96C41×#391C2211yescharacteristic
97C41×#391C2211yescharacteristic
98C41×#391C2211yescharacteristic
99C41×#391C2211yescharacteristic
100C41×#391C2211yescharacteristic
101C41×#391C2211yescharacteristic
102C41×#390C2211yescharacteristic
103C41×#390C2211yescharacteristic
104C41×#389C2211yescharacteristic
105C41×#389C2211yescharacteristic
106C41×#389C2211yescharacteristic
107C41×#389C2211yescharacteristic
108C41×#389C2211yescharacteristic
109C41×#389C2211yescharacteristic
110C41×#389C2211yescharacteristic
111C41×#389C2211yescharacteristic
112C41×#389C2211yescharacteristic
113C41×#389C2211yescharacteristic
114C41×#389C2211yescharacteristic
115C41×#389C2211yescharacteristic
116C41×#389C2211yescharacteristic
117C41×#389C2211yescharacteristic
118C41×#389C2211yescharacteristic
119C41×#389C2211yescharacteristic
120C41×#389C2211yescharacteristic
121C41×#389C2211yescharacteristic
122C41×#389C2211yescharacteristic
123C41×#388C2211yescharacteristic
124C41×#388C2211yescharacteristic
125C41×#388C2211yescharacteristic
126C41×#388C2211yescharacteristic
127C41×#388C2211yescharacteristic
128C41×#388C2211yescharacteristic
129C41×#388C2211yescharacteristic
130C41×#388C2211yescharacteristic
131C41×#387C2211yescharacteristic
132C41×#387C2211yescharacteristic
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×#387C2211yescharacteristic
148C41×#387C2211yescharacteristic
149C41×#387C2211yescharacteristic
150C41×#387C2211yescharacteristic
151C41×#386C2211yescharacteristic
152C41×#386C2211yescharacteristic
153C41×#386C2211yescharacteristic
154C41×#386C2211yescharacteristic
155C41×#385C2211yescharacteristic
156C41×#385C2211yescharacteristic
157C41×#385C2211yescharacteristic
158C41×#385C2211yescharacteristic
159C41×#385C2211yescharacteristic
160C41×#385C2211yescharacteristic
161C41×#385C2211yescharacteristic
162C41×#385C2211yescharacteristic
163C41×#385C2211yescharacteristic
164C41×#385C2211yescharacteristic
165C41×#384C2211yescharacteristic
166C41×#383C2211yescharacteristic
167C41×#382C2211yescharacteristic
168C41×#382C2211yescharacteristic
169C41×#381C2211yescharacteristic
170C41×#381C2211yescharacteristic
171C41×#381C2211yescharacteristic
172C41×#380C2211yescharacteristic
173C41×#380C2211yescharacteristic
174C41×#380C2211yescharacteristic
175C41×#380C2211yescharacteristic
176C41×#380C2211yescharacteristic
177C41×#380C2211yescharacteristic
178C41×#380C2211yescharacteristic
179C4×C4⋊C4×C41C2211yescharacteristic
180C4×C4⋊C4×C41C2211yescharacteristic
181C4×C22⋊C4×C41C2211yescharacteristic
182C4×C22⋊C4×C41C2211yescharacteristic
183C4×C22⋊C4×C41C2211yescharacteristic
184C41×#376C2211yescharacteristic
185C41×#376C2211yescharacteristic
186C2×#95×C41C2211yescharacteristic
187C22×Q8×C41C2311yescharacteristic
188C22×Q8×C41C2311yescharacteristic
189C22×Q8×C41C2311yescharacteristic
190C22×Q8×C41C2311yescharacteristic
191C22×Q8×C41C2311yescharacteristic
192C22×D4×C41C2311yescharacteristic
193C23×C4×C41C2311yescharacteristic
194C23×C4×C41C2311yescharacteristic
195C23×C4×C41C2311yescharacteristic
196C23×C4×C41C2311yescharacteristic
197C23×C4×C41C2311yescharacteristic
198C23×C4×C41C2311yescharacteristic
199C4⋊Q8×C41—42no—
200C4⋊Q8×C41—42no—
201C4⋊Q8×C41—42no—
202#125×C41—42no—
203C22⋊Q8×C41—42no—
204C22⋊Q8×C41—42no—
205C22⋊Q8×C41—42no—
206C22⋊Q8×C41—42no—
207C22⋊Q8×C41—42no—
208C22⋊Q8×C41—42no—
209C4×D4×C41Q818yescomplemented
210#117×C41—42no—
211C2×C4⋊C4×C41C2311yescharacteristic
212C2×C4⋊C4×C41C2311yescharacteristic
213C2×C4⋊C4×C41C2311yescharacteristic
214C2×C4⋊C4×C41C2311yescharacteristic
215C2×C4⋊C4×C41C2311yescharacteristic
216C2×C4⋊C4×C41C2311yescharacteristic
217C2×C4⋊C4×C41C2311yescharacteristic
218C2×C4⋊C4×C41C2311yescharacteristic
219C2×C4⋊C4×C41C2311yescharacteristic
220C2×C4⋊C4×C41C2311yescharacteristic
221C2×C4⋊C4×C41C2311yescharacteristic
222C2×C4⋊C4×C41C2311yescharacteristic
223C2×C4⋊C4×C41C2311yescharacteristic
224C2×C4⋊C4×C41C2311yescharacteristic
225C2×C4⋊C4×C41C2311yescharacteristic
226C2×C4⋊C4×C41C2311yescharacteristic
227C2×C4⋊C4×C41C2311yescharacteristic
228C2×C4⋊C4×C41C2311yescharacteristic
229C2×C4⋊C4×C41C2311yescharacteristic
230C2×C4⋊C4×C41C2311yescharacteristic
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×C4⋊C4×C41C2311yescharacteristic
260C2×C4⋊C4×C41C2311yescharacteristic
261C2×C4⋊C4×C41C2311yescharacteristic
262C2×C4⋊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×C42×C41—42no—
286C2×C42×C41C2311yescharacteristic
287C2×C42×C41C2311yescharacteristic
288C2×C42×C41C2311yescharacteristic
289C2×C42×C41C2311yescharacteristic
290C2×C42×C41C2311yescharacteristic
291C2×C42×C41C2311yescharacteristic
292C2×C42×C41C2311yescharacteristic
293C2×C42×C41C2311yescharacteristic
294C2×C42×C41C2311yescharacteristic
295C2×C42×C41C2311yescharacteristic
296C2×C42×C41C2311yescharacteristic
297C2×C42×C41C2311yescharacteristic
298C2×C42×C41C2311yescharacteristic
299#95×C41C2311yescharacteristic
300#95×C41C2311yescharacteristic
301#95×C41C2311yescharacteristic
302#95×C41C2311yescharacteristic
303#95×C41C2311yescharacteristic
304#95×C41C2311yescharacteristic
305#95×C41C2311yescharacteristic
306#95×C41C2311yescharacteristic
307#95×C41C2311yescharacteristic
308#95×C41C2311yescharacteristic
309#95×C41C2311yescharacteristic
310#95×C41C2311yescharacteristic
311#95×C41C2311yescharacteristic
312#95×C41C2311yescharacteristic
313#95×C41C2311yescharacteristic
314#95×C41C2311yescharacteristic
315#95×C41C2311yescharacteristic
316#95×C41C2311yescharacteristic
317#95×C41C2311yescharacteristic
318#95×C41C2311yescharacteristic
319#95×C41C2311yescharacteristic
320#95×C41C2311yescharacteristic
321#95×C41C2311yescharacteristic
322#95×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
355C24×C41C2411yescharacteristic
356C24×C41C2411yescharacteristic
357C2×Q8×C41—22no—
358C2×Q8×C41—22no—
359C2×Q8×C41—22no—
360C2×Q8×C41—41no—
361C2×Q8×C41—41no—
362C2×Q8×C41—41no—
363C2×Q8×C41—41no—
364C2×Q8×C41—41no—
365C2×Q8×C41—41no—
366C2×Q8×C41—41no—
367C2×Q8×C41—41no—
368C2×Q8×C41—41no—
369C2×Q8×C41—41no—
370C2×Q8×C41—41no—
371C2×Q8×C41—41no—
372C2×D4×C41—41no—
373C2×D4×C41—41no—
374C2×D4×C41C2×Q814yes—
375C22×C4×C41—22no—
376C22×C4×C41—22no—
377C22×C4×C41—22no—
378C22×C4×C41—41no—
379C22×C4×C41—41no—
380C22×C4×C41—41no—
381C22×C4×C41—41no—
382C22×C4×C41—41no—
383C22×C4×C41—41no—
384C22×C4×C41—41no—
385C22×C4×C41—41no—
386C22×C4×C41—41no—
387C22×C4×C41—41no—
388C22×C4×C41—41no—
389C22×C4×C41—41no—
390C22×C4×C41—41no—
391C22×C4×C41C2×Q814yes—
392C22×C4×C41C2×Q814yes—
393C22×C4×C41C2411yescharacteristic
394C22×C4×C41C2411yescharacteristic
395C22×C4×C41C2411yescharacteristic
396C22×C4×C41C2411yescharacteristic
397C22×C4×C41C2411yescharacteristic
398C22×C4×C41C2411yescharacteristic
399C22×C4×C41C2411yescharacteristic
400C22×C4×C41C2411yescharacteristic
401C22×C4×C41C2411yescharacteristic
402C22×C4×C41C2411yescharacteristic
403C22×C4×C41C2411yescharacteristic
404C22×C4×C41C2411yescharacteristic
405C22×C4×C41C2411yescharacteristic
406C22×C4×C41C2411yescharacteristic
407C22×C4×C41C2411yescharacteristic
408C22×C4×C41C2411yescharacteristic
409C22×C4×C41C2411yescharacteristic
410C22×C4×C41C2411yescharacteristic
411C22×C4×C41C2411yescharacteristic
412C22×C4×C41C2411yescharacteristic
413C22×C4×C41C2411yescharacteristic
414C22×C4×C41C2411yescharacteristic
415C22×C4×C41C2411yescharacteristic
416C22×C4×C41C2411yescharacteristic
417C22×C4×C41C2411yescharacteristic
418C22×C4×C41C2411yescharacteristic
419C22×C4×C41C2411yescharacteristic
420C22×C4×C41C2411yescharacteristic
421C22×C4×C41C2411yescharacteristic
422C4⋊C4×C41—22no—
423C4⋊C4×C41—22no—
424C4⋊C4×C41—22no—
425C4⋊C4×C41—22no—
426C4⋊C4×C41—22no—
427C4⋊C4×C41—22no—
428C4⋊C4×C41—22no—
429C4⋊C4×C41—22no—
430C4⋊C4×C41—22no—
431C4⋊C4×C41—22no—
432C4⋊C4×C41—22no—
433C4⋊C4×C41—22no—
434C4⋊C4×C41—41no—
435C4⋊C4×C41—41no—
436C4⋊C4×C41—41no—
437C4⋊C4×C41—41no—
438C4⋊C4×C41—41no—
439C4⋊C4×C41—41no—
440C4⋊C4×C41—41no—
441C4⋊C4×C41—41no—
442C4⋊C4×C41—41no—
443C4⋊C4×C41—41no—
444C4⋊C4×C41—41no—
445C4⋊C4×C41—41no—
446C4⋊C4×C41—41no—
447C4⋊C4×C41—41no—
448C4⋊C4×C41—41no—
449C4⋊C4×C41—41no—
450C4⋊C4×C41—41no—
451C4⋊C4×C41—41no—
452C4⋊C4×C41—41no—
453C4⋊C4×C41—41no—
454C4⋊C4×C41—41no—
455C4⋊C4×C41—41no—
456C4⋊C4×C41—41no—
457C4⋊C4×C41—41no—
458C4⋊C4×C41—41no—
459C4⋊C4×C41—41no—
460C4⋊C4×C41—41no—
461C4⋊C4×C41—41no—
462C4⋊C4×C41—41no—
463C4⋊C4×C41—41no—
464C4⋊C4×C41—41no—
465C4⋊C4×C41—41no—
466C4⋊C4×C41—41no—
467C4⋊C4×C41—41no—
468C4⋊C4×C41—41no—
469C4⋊C4×C41—41no—
470C4⋊C4×C41—41no—
471C4⋊C4×C41—41no—
472C4⋊C4×C41—41no—
473C4⋊C4×C41C2×Q814yes—
474C22⋊C4×C41—22no—
475C22⋊C4×C41—22no—
476C22⋊C4×C41—22no—
477C22⋊C4×C41—41no—
478C22⋊C4×C41—41no—
479C22⋊C4×C41—41no—
480C22⋊C4×C41—41no—
481C22⋊C4×C41—41no—
482C22⋊C4×C41—41no—
483C22⋊C4×C41—41no—
484C22⋊C4×C41—41no—
485C22⋊C4×C41—41no—
486C22⋊C4×C41—41no—
487C22⋊C4×C41—41no—
488C22⋊C4×C41—41no—
489C22⋊C4×C41—41no—
490C22⋊C4×C41—41no—
491C22⋊C4×C41—41no—
492C22⋊C4×C41—41no—
493C22⋊C4×C41—41no—
494C22⋊C4×C41C2×Q814yes—
495C22⋊C4×C41C2×Q814yes—
496C42×C41—22no—
497C42×C41—22no—
498C42×C41—41no—
499C42×C41—41no—
500C42×C41—41no—
501C42×C41—41no—
502C42×C41—41no—
503C42×C41—41no—
504C42×C41—41no—
505C42×C41—41no—
506C42×C41—41no—
507C42×C41—41no—
508C42×C41C2×Q814yes—
509C23×C41—21no—
510C23×C41—21no—
511C23×C41—21no—
512C23×C41—21no—
513C23×C41—21no—
514C23×C41—21no—
515C23×C41—21no—
516C23×C41—21no—
517C23×C41—21no—
518C23×C41—21no—
519C23×C41—21no—
520C23×C41—21no—
521C23×C41C22×Q812yes—
522C23×C41C22×Q812yes—
523C23×C41C2511yescharacteristic
524Q8×C41—82no—
525Q8×C41—82no—
526Q8×C41—82no—
527Q8×C41—82no—
528Q8×C41—82no—
529D4×C41—44no—
530C2×C4×C41—21no—
531C2×C4×C41—21no—
532C2×C4×C41—21no—
533C2×C4×C41—21no—
534C2×C4×C41—21no—
535C2×C4×C41—21no—
536C2×C4×C41—21no—
537C2×C4×C41—21no—
538C2×C4×C41—21no—
539C2×C4×C41—21no—
540C2×C4×C41—21no—
541C2×C4×C41—21no—
542C2×C4×C41—21no—
543C2×C4×C41—21no—
544C2×C4×C41—21no—
545C2×C4×C41—21no—
546C2×C4×C41—21no—
547C2×C4×C41—21no—
548C2×C4×C41—21no—
549C2×C4×C41—21no—
550C2×C4×C41—21no—
551C2×C4×C41—21no—
552C2×C4×C41—21no—
553C2×C4×C41—21no—
554C2×C4×C41—21no—
555C2×C4×C41—21no—
556C2×C4×C41—21no—
557C2×C4×C41—21no—
558C2×C4×C41—21no—
559C2×C4×C41—21no—
560C2×C4×C41—21no—
561C2×C4×C41—21no—
562C2×C4×C41—21no—
563C2×C4×C41—21no—
564C2×C4×C41—21no—
565C2×C4×C41—21no—
566C2×C4×C41—21no—
567C2×C4×C41—21no—
568C2×C4×C41—21no—
569C2×C4×C41—21no—
570C2×C4×C41—21no—
571C2×C4×C41—21no—
572C2×C4×C41—21no—
573C2×C4×C41—21no—
574C2×C4×C41—21no—
575C2×C4×C41—21no—
576C2×C4×C41—21no—
577C2×C4×C41—21no—
578C2×C4×C41—21no—
579C2×C4×C41—21no—
580C2×C4×C41—21no—
581C2×C4×C41—21no—
582C2×C4×C41—21no—
583C2×C4×C41—21no—
584C2×C4×C41—21no—
585C2×C4×C41—21no—
586C2×C4×C41—21no—
587C2×C4×C41—21no—
588C2×C4×C41—21no—
589C2×C4×C41—21no—
590C2×C4×C41—21no—
591C2×C4×C41—21no—
592C2×C4×C41—21no—
593C2×C4×C41—21no—
594C2×C4×C41—21no—
595C2×C4×C41—21no—
596C2×C4×C41—21no—
597C2×C4×C41—21no—
598C2×C4×C41—21no—
599C2×C4×C41—21no—
600C2×C4×C41—21no—
601C2×C4×C41—21no—
602C2×C4×C41—21no—
603C2×C4×C41—21no—
604C2×C4×C41—21no—
605C2×C4×C41—21no—
606C2×C4×C41—21no—
607C2×C4×C41—21no—
608C2×C4×C41—21no—
609C2×C4×C41—44no—
610C2×C4×C41—44no—
611C2×C4×C41—44no—
612C2×C4×C41—44no—
613C2×C4×C41—82no—
614C2×C4×C41—82no—
615C2×C4×C41C22×Q812yes—
616C2×C4×C41C22×Q812yes—
617C2×C4×C41C22×Q812yes—
618C2×C4×C41C22×Q812yes—
619C2×C4×C41C22×Q812yes—
620C2×C4×C41H(5,𝔽2)12yes—
621C2×C4×C41H(5,𝔽2)12yes—
622C2×C4×C412−1+412yes—
623#36754C4111yesmaximal, characteristic, direct product factor, Sylow
624C22×C41—22no—
625C22×C41—22no—
626C22×C41—22no—
627C22×C41—22no—
628C22×C41—22no—
629C22×C41—22no—
630C22×C41—41no—
631C22×C41—41no—
632C22×C41—41no—
633C22×C41—41no—
634C22×C41—41no—
635C22×C41—41no—
636C22×C41—41no—
637C22×C41—41no—
638C22×C41C23×Q811yescharacteristic
639C22×C41C2×H(5,𝔽2)11yescharacteristic
640C22×C41C2×H(5,𝔽2)11yescharacteristic
641C22×C41C2×2−1+411yescharacteristic
642C22×C41#58511yescharacteristic
643C22×C41#58511yescharacteristic
644C22×C41#58511yescharacteristic
645C4×C41—22no—
646C4×C41—22no—
647C4×C41—22no—
648C4×C41—22no—
649C4×C41—22no—
650C4×C41—22no—
651C4×C41—22no—
652C4×C41—22no—
653C4×C41—41no—
654C4×C41—41no—
655C4×C41—41no—
656C4×C41—41no—
657C4×C41—41no—
658C4×C41—41no—
659C4×C41—41no—
660C4×C41—41no—
661C4×C41—41no—
662C4×C41—41no—
663C4×C41—41no—
664C4×C41—41no—
665C4×C41—41no—
666C4×C41—41no—
667C4×C41—41no—
668C4×C41—41no—
669C4×C41—41no—
670C4×C41—41no—
671C4×C41—41no—
672C4×C41—41no—
673C4×C41—41no—
674#2857C2×C4111yescharacteristic, complemented
675#2855C2×C4111yescharacteristic, complemented
676#2802C2×C4111yescharacteristic, complemented
677#2792C2×C4111yescharacteristic, complemented
678#2790C2×C4111yescharacteristic, complemented
679#2788C2×C4111yescharacteristic, complemented
680#2784C2×C4111yescharacteristic
681#2780C2×C4111yescharacteristic
682#2774C2×C4111yescharacteristic, complemented
683#2768C2×C4111yescharacteristic, complemented
684#2734C2×C4111yescharacteristic, complemented
685#2729C2×C4111yescharacteristic, complemented
686#2729C2×C4111yescharacteristic, complemented
687#2704C2×C4111yescharacteristic, complemented
688#2704C2×C4111yescharacteristic, complemented
689#2692C2×C4111yescharacteristic
690#2683C2×C4111yescharacteristic
691#2677C2×C4111yescharacteristic, complemented
692#2667C2×C4111yescharacteristic, complemented
693#2665C2×C4111yescharacteristic, complemented
694#2612C2×C4111yescharacteristic, complemented
695#2608C2×C4111yescharacteristic, complemented
696#2606C2×C4111yescharacteristic, complemented
697#2605C2×C4111yescharacteristic, complemented
698#2550C2×C4111yescharacteristic, complemented
699#2549C2×C4111yescharacteristic, complemented
700#2439C2×C4111yescharacteristic, complemented
701#2438C2×C4111yescharacteristic, complemented
702#2319C2×C4111yescharacteristic
703#2318C2×C4111yescharacteristic
704#2290C2×C4111yescharacteristic
705C2×C41—42no—
706C2×C41—42no—
707C2×C41#345811yescharacteristic
708C2×C41#350111yescharacteristic
709C2×C41#350311yescharacteristic
710C2×C41#353411yescharacteristic
711C2×C41#354111yescharacteristic
712C2×C41#355111yescharacteristic
713C2×C41#356511yescharacteristic
714C2×C4⋊Q8C22×C4111yescharacteristic
715C2×C4⋊Q8C22×C4111yescharacteristic
716C2×C4⋊Q8C22×C4111yescharacteristic
717C2×#125C22×C4111yescharacteristic
718C2×C22⋊Q8C22×C4111yescharacteristic
719C2×C22⋊Q8C22×C4111yescharacteristic
720C2×C22⋊Q8C22×C4111yescharacteristic
721C2×C22⋊Q8C22×C4111yescharacteristic
722C2×C22⋊Q8C22×C4111yescharacteristic
723C2×C22⋊Q8C22×C4111yescharacteristic
724C2×C4×D4C22×C4111yescharacteristic
725C2×#117C22×C4111yescharacteristic
726C22×C42C22×C4111yescharacteristic
727#400C22×C4111yescharacteristic
728#400C22×C4111yescharacteristic
729#400C22×C4111yescharacteristic
730#400C22×C4111yescharacteristic
731#400C22×C4111yescharacteristic
732#400C22×C4111yescharacteristic
733#399C22×C4111yescharacteristic
734#399C22×C4111yescharacteristic
735#398C22×C4111yescharacteristic
736#398C22×C4111yescharacteristic
737#398C22×C4111yescharacteristic
738#398C22×C4111yescharacteristic
739#398C22×C4111yescharacteristic
740#398C22×C4111yescharacteristic
741#398C22×C4111yescharacteristic
742#398C22×C4111yescharacteristic
743#398C22×C4111yescharacteristic
744#398C22×C4111yescharacteristic
745#398C22×C4111yescharacteristic
746#398C22×C4111yescharacteristic
747#398C22×C4111yescharacteristic
748#398C22×C4111yescharacteristic
749#398C22×C4111yescharacteristic
750#398C22×C4111yescharacteristic
751#396C22×C4111yescharacteristic
752#396C22×C4111yescharacteristic
753#396C22×C4111yescharacteristic
754#396C22×C4111yescharacteristic
755#396C22×C4111yescharacteristic
756#396C22×C4111yescharacteristic
757#396C22×C4111yescharacteristic
758#396C22×C4111yescharacteristic
759#396C22×C4111yescharacteristic
760#396C22×C4111yescharacteristic
761#395C22×C4111yescharacteristic
762#395C22×C4111yescharacteristic
763#395C22×C4111yescharacteristic
764#395C22×C4111yescharacteristic
765#395C22×C4111yescharacteristic
766#395C22×C4111yescharacteristic
767#395C22×C4111yescharacteristic
768#395C22×C4111yescharacteristic
769#395C22×C4111yescharacteristic
770#395C22×C4111yescharacteristic
771#393C22×C4111yescharacteristic
772#393C22×C4111yescharacteristic
773#393C22×C4111yescharacteristic
774#393C22×C4111yescharacteristic
775#391C22×C4111yescharacteristic
776#391C22×C4111yescharacteristic
777#391C22×C4111yescharacteristic
778#391C22×C4111yescharacteristic
779#391C22×C4111yescharacteristic
780#391C22×C4111yescharacteristic
781#391C22×C4111yescharacteristic
782#391C22×C4111yescharacteristic
783#391C22×C4111yescharacteristic
784#390C22×C4111yescharacteristic
785#390C22×C4111yescharacteristic
786#389C22×C4111yescharacteristic
787#389C22×C4111yescharacteristic
788#389C22×C4111yescharacteristic
789#389C22×C4111yescharacteristic
790#389C22×C4111yescharacteristic
791#389C22×C4111yescharacteristic
792#389C22×C4111yescharacteristic
793#389C22×C4111yescharacteristic
794#389C22×C4111yescharacteristic
795#389C22×C4111yescharacteristic
796#389C22×C4111yescharacteristic
797#389C22×C4111yescharacteristic
798#389C22×C4111yescharacteristic
799#389C22×C4111yescharacteristic
800#389C22×C4111yescharacteristic
801#389C22×C4111yescharacteristic
802#389C22×C4111yescharacteristic
803#389C22×C4111yescharacteristic
804#389C22×C4111yescharacteristic
805#388C22×C4111yescharacteristic
806#388C22×C4111yescharacteristic
807#388C22×C4111yescharacteristic
808#388C22×C4111yescharacteristic
809#388C22×C4111yescharacteristic
810#388C22×C4111yescharacteristic
811#388C22×C4111yescharacteristic
812#388C22×C4111yescharacteristic
813#387C22×C4111yescharacteristic
814#387C22×C4111yescharacteristic
815#387C22×C4111yescharacteristic
816#387C22×C4111yescharacteristic
817#387C22×C4111yescharacteristic
818#387C22×C4111yescharacteristic
819#387C22×C4111yescharacteristic
820#387C22×C4111yescharacteristic
821#387C22×C4111yescharacteristic
822#387C22×C4111yescharacteristic
823#387C22×C4111yescharacteristic
824#387C22×C4111yescharacteristic
825#387C22×C4111yescharacteristic
826#387C22×C4111yescharacteristic
827#387C22×C4111yescharacteristic
828#387C22×C4111yescharacteristic
829#387C22×C4111yescharacteristic
830#387C22×C4111yescharacteristic
831#387C22×C4111yescharacteristic
832#387C22×C4111yescharacteristic
833#386C22×C4111yescharacteristic
834#386C22×C4111yescharacteristic
835#386C22×C4111yescharacteristic
836#386C22×C4111yescharacteristic
837#385C22×C4111yescharacteristic
838#385C22×C4111yescharacteristic
839#385C22×C4111yescharacteristic
840#385C22×C4111yescharacteristic
841#385C22×C4111yescharacteristic
842#385C22×C4111yescharacteristic
843#385C22×C4111yescharacteristic
844#385C22×C4111yescharacteristic
845#385C22×C4111yescharacteristic
846#385C22×C4111yescharacteristic
847#384C22×C4111yescharacteristic
848#383C22×C4111yescharacteristic
849#382C22×C4111yescharacteristic
850#382C22×C4111yescharacteristic
851#381C22×C4111yescharacteristic
852#381C22×C4111yescharacteristic
853#381C22×C4111yescharacteristic
854#380C22×C4111yescharacteristic
855#380C22×C4111yescharacteristic
856#380C22×C4111yescharacteristic
857#380C22×C4111yescharacteristic
858#380C22×C4111yescharacteristic
859#380C22×C4111yescharacteristic
860#380C22×C4111yescharacteristic
861C4×C4⋊C4C22×C4111yescharacteristic
862C4×C4⋊C4C22×C4111yescharacteristic
863C4×C22⋊C4C22×C4111yescharacteristic
864C4×C22⋊C4C22×C4111yescharacteristic
865C4×C22⋊C4C22×C4111yescharacteristic
866#376C22×C4111yescharacteristic
867#376C22×C4111yescharacteristic
868C2×#95C22×C4111yescharacteristic
869C41#3675411yescharacteristic, direct product factor, Sylow
870C22×Q8C23×C4111yescharacteristic
871C22×Q8C23×C4111yescharacteristic
872C22×Q8C23×C4111yescharacteristic
873C22×Q8C23×C4111yescharacteristic
874C22×Q8C23×C4111yescharacteristic
875C22×D4C23×C4111yescharacteristic
876C23×C4C23×C4111yescharacteristic
877C23×C4C23×C4111yescharacteristic
878C23×C4C23×C4111yescharacteristic
879C23×C4C23×C4111yescharacteristic
880C23×C4C23×C4111yescharacteristic
881C23×C4C23×C4111yescharacteristic
882C4⋊Q8—42no—
883C4⋊Q8—42no—
884C4⋊Q8—42no—
885#125—42no—
886C22⋊Q8—42no—
887C22⋊Q8—42no—
888C22⋊Q8—42no—
889C22⋊Q8—42no—
890C22⋊Q8—42no—
891C22⋊Q8—42no—
892C4×D4Q8×C4118yescomplemented
893#117—42no—
894C2×C4⋊C4C23×C4111yescharacteristic
895C2×C4⋊C4C23×C4111yescharacteristic
896C2×C4⋊C4C23×C4111yescharacteristic
897C2×C4⋊C4C23×C4111yescharacteristic
898C2×C4⋊C4C23×C4111yescharacteristic
899C2×C4⋊C4C23×C4111yescharacteristic
900C2×C4⋊C4C23×C4111yescharacteristic
901C2×C4⋊C4C23×C4111yescharacteristic
902C2×C4⋊C4C23×C4111yescharacteristic
903C2×C4⋊C4C23×C4111yescharacteristic
904C2×C4⋊C4C23×C4111yescharacteristic
905C2×C4⋊C4C23×C4111yescharacteristic
906C2×C4⋊C4C23×C4111yescharacteristic
907C2×C4⋊C4C23×C4111yescharacteristic
908C2×C4⋊C4C23×C4111yescharacteristic
909C2×C4⋊C4C23×C4111yescharacteristic
910C2×C4⋊C4C23×C4111yescharacteristic
911C2×C4⋊C4C23×C4111yescharacteristic
912C2×C4⋊C4C23×C4111yescharacteristic
913C2×C4⋊C4C23×C4111yescharacteristic
914C2×C4⋊C4C23×C4111yescharacteristic
915C2×C4⋊C4C23×C4111yescharacteristic
916C2×C4⋊C4C23×C4111yescharacteristic
917C2×C4⋊C4C23×C4111yescharacteristic
918C2×C4⋊C4C23×C4111yescharacteristic
919C2×C4⋊C4C23×C4111yescharacteristic
920C2×C4⋊C4C23×C4111yescharacteristic
921C2×C4⋊C4C23×C4111yescharacteristic
922C2×C4⋊C4C23×C4111yescharacteristic
923C2×C4⋊C4C23×C4111yescharacteristic
924C2×C4⋊C4C23×C4111yescharacteristic
925C2×C4⋊C4C23×C4111yescharacteristic
926C2×C4⋊C4C23×C4111yescharacteristic
927C2×C4⋊C4C23×C4111yescharacteristic
928C2×C4⋊C4C23×C4111yescharacteristic
929C2×C4⋊C4C23×C4111yescharacteristic
930C2×C4⋊C4C23×C4111yescharacteristic
931C2×C4⋊C4C23×C4111yescharacteristic
932C2×C4⋊C4C23×C4111yescharacteristic
933C2×C4⋊C4C23×C4111yescharacteristic
934C2×C4⋊C4C23×C4111yescharacteristic
935C2×C4⋊C4C23×C4111yescharacteristic
936C2×C4⋊C4C23×C4111yescharacteristic
937C2×C4⋊C4C23×C4111yescharacteristic
938C2×C4⋊C4C23×C4111yescharacteristic
939C2×C4⋊C4C23×C4111yescharacteristic
940C2×C4⋊C4C23×C4111yescharacteristic
941C2×C4⋊C4C23×C4111yescharacteristic
942C2×C4⋊C4C23×C4111yescharacteristic
943C2×C4⋊C4C23×C4111yescharacteristic
944C2×C4⋊C4C23×C4111yescharacteristic
945C2×C4⋊C4C23×C4111yescharacteristic
946C2×C22⋊C4C23×C4111yescharacteristic
947C2×C22⋊C4C23×C4111yescharacteristic
948C2×C22⋊C4C23×C4111yescharacteristic
949C2×C22⋊C4C23×C4111yescharacteristic
950C2×C22⋊C4C23×C4111yescharacteristic
951C2×C22⋊C4C23×C4111yescharacteristic
952C2×C22⋊C4C23×C4111yescharacteristic
953C2×C22⋊C4C23×C4111yescharacteristic
954C2×C22⋊C4C23×C4111yescharacteristic
955C2×C22⋊C4C23×C4111yescharacteristic
956C2×C22⋊C4C23×C4111yescharacteristic
957C2×C22⋊C4C23×C4111yescharacteristic
958C2×C22⋊C4C23×C4111yescharacteristic
959C2×C22⋊C4C23×C4111yescharacteristic
960C2×C22⋊C4C23×C4111yescharacteristic
961C2×C22⋊C4C23×C4111yescharacteristic
962C2×C22⋊C4C23×C4111yescharacteristic
963C2×C22⋊C4C23×C4111yescharacteristic
964C2×C22⋊C4C23×C4111yescharacteristic
965C2×C22⋊C4C23×C4111yescharacteristic
966C2×C22⋊C4C23×C4111yescharacteristic
967C2×C22⋊C4C23×C4111yescharacteristic
968C2×C42—42no—
969C2×C42C23×C4111yescharacteristic
970C2×C42C23×C4111yescharacteristic
971C2×C42C23×C4111yescharacteristic
972C2×C42C23×C4111yescharacteristic
973C2×C42C23×C4111yescharacteristic
974C2×C42C23×C4111yescharacteristic
975C2×C42C23×C4111yescharacteristic
976C2×C42C23×C4111yescharacteristic
977C2×C42C23×C4111yescharacteristic
978C2×C42C23×C4111yescharacteristic
979C2×C42C23×C4111yescharacteristic
980C2×C42C23×C4111yescharacteristic
981C2×C42C23×C4111yescharacteristic
982#95C23×C4111yescharacteristic
983#95C23×C4111yescharacteristic
984#95C23×C4111yescharacteristic
985#95C23×C4111yescharacteristic
986#95C23×C4111yescharacteristic
987#95C23×C4111yescharacteristic
988#95C23×C4111yescharacteristic
989#95C23×C4111yescharacteristic
990#95C23×C4111yescharacteristic
991#95C23×C4111yescharacteristic
992#95C23×C4111yescharacteristic
993#95C23×C4111yescharacteristic
994#95C23×C4111yescharacteristic
995#95C23×C4111yescharacteristic
996#95C23×C4111yescharacteristic
997#95C23×C4111yescharacteristic
998#95C23×C4111yescharacteristic
999#95C23×C4111yescharacteristic
1000#95C23×C4111yescharacteristic
1001#95C23×C4111yescharacteristic
1002#95C23×C4111yescharacteristic
1003#95C23×C4111yescharacteristic
1004#95C23×C4111yescharacteristic
1005#95C23×C4111yescharacteristic
1006#95C23×C4111yescharacteristic
1007#95C23×C4111yescharacteristic
1008#95C23×C4111yescharacteristic
1009#95C23×C4111yescharacteristic
1010#95C23×C4111yescharacteristic
1011#95C23×C4111yescharacteristic
1012#95C23×C4111yescharacteristic
1013#95C23×C4111yescharacteristic
1014#95C23×C4111yescharacteristic
1015#95C23×C4111yescharacteristic
1016#95C23×C4111yescharacteristic
1017#95C23×C4111yescharacteristic
1018#95C23×C4111yescharacteristic
1019#95C23×C4111yescharacteristic
1020#95C23×C4111yescharacteristic
1021#95C23×C4111yescharacteristic
1022#95C23×C4111yescharacteristic
1023#95C23×C4111yescharacteristic
1024#95C23×C4111yescharacteristic
1025#95C23×C4111yescharacteristic
1026#95C23×C4111yescharacteristic
1027#95C23×C4111yescharacteristic
1028#95C23×C4111yescharacteristic
1029#95C23×C4111yescharacteristic
1030#95C23×C4111yescharacteristic
1031#95C23×C4111yescharacteristic
1032#95C23×C4111yescharacteristic
1033#95C23×C4111yescharacteristic
1034#95C23×C4111yescharacteristic
1035#95C23×C4111yescharacteristic
1036#95C23×C4111yescharacteristic
1037#95C23×C4111yescharacteristic
1038C24C24×C4111yescharacteristic
1039C24C24×C4111yescharacteristic
1040C2×Q8—22no—
1041C2×Q8—22no—
1042C2×Q8—22no—
1043C2×Q8—41no—
1044C2×Q8—41no—
1045C2×Q8—41no—
1046C2×Q8—41no—
1047C2×Q8—41no—
1048C2×Q8—41no—
1049C2×Q8—41no—
1050C2×Q8—41no—
1051C2×Q8—41no—
1052C2×Q8—41no—
1053C2×Q8—41no—
1054C2×Q8—41no—
1055C2×D4—41no—
1056C2×D4—41no—
1057C2×D4C2×Q8×C4114yes—
1058C22×C4—22no—
1059C22×C4—22no—
1060C22×C4—22no—
1061C22×C4—41no—
1062C22×C4—41no—
1063C22×C4—41no—
1064C22×C4—41no—
1065C22×C4—41no—
1066C22×C4—41no—
1067C22×C4—41no—
1068C22×C4—41no—
1069C22×C4—41no—
1070C22×C4—41no—
1071C22×C4—41no—
1072C22×C4—41no—
1073C22×C4—41no—
1074C22×C4C2×Q8×C4114yes—
1075C22×C4C2×Q8×C4114yes—
1076C22×C4C24×C4111yescharacteristic
1077C22×C4C24×C4111yescharacteristic
1078C22×C4C24×C4111yescharacteristic
1079C22×C4C24×C4111yescharacteristic
1080C22×C4C24×C4111yescharacteristic
1081C22×C4C24×C4111yescharacteristic
1082C22×C4C24×C4111yescharacteristic
1083C22×C4C24×C4111yescharacteristic
1084C22×C4C24×C4111yescharacteristic
1085C22×C4C24×C4111yescharacteristic
1086C22×C4C24×C4111yescharacteristic
1087C22×C4C24×C4111yescharacteristic
1088C22×C4C24×C4111yescharacteristic
1089C22×C4C24×C4111yescharacteristic
1090C22×C4C24×C4111yescharacteristic
1091C22×C4C24×C4111yescharacteristic
1092C22×C4C24×C4111yescharacteristic
1093C22×C4C24×C4111yescharacteristic
1094C22×C4C24×C4111yescharacteristic
1095C22×C4C24×C4111yescharacteristic
1096C22×C4C24×C4111yescharacteristic
1097C22×C4C24×C4111yescharacteristic
1098C22×C4C24×C4111yescharacteristic
1099C22×C4C24×C4111yescharacteristic
1100C22×C4C24×C4111yescharacteristic
1101C22×C4C24×C4111yescharacteristic
1102C22×C4C24×C4111yescharacteristic
1103C22×C4C24×C4111yescharacteristic
1104C22×C4C24×C4111yescharacteristic
1105C4⋊C4—22no—
1106C4⋊C4—22no—
1107C4⋊C4—22no—
1108C4⋊C4—22no—
1109C4⋊C4—22no—
1110C4⋊C4—22no—
1111C4⋊C4—22no—
1112C4⋊C4—22no—
1113C4⋊C4—22no—
1114C4⋊C4—22no—
1115C4⋊C4—22no—
1116C4⋊C4—22no—
1117C4⋊C4—41no—
1118C4⋊C4—41no—
1119C4⋊C4—41no—
1120C4⋊C4—41no—
1121C4⋊C4—41no—
1122C4⋊C4—41no—
1123C4⋊C4—41no—
1124C4⋊C4—41no—
1125C4⋊C4—41no—
1126C4⋊C4—41no—
1127C4⋊C4—41no—
1128C4⋊C4—41no—
1129C4⋊C4—41no—
1130C4⋊C4—41no—
1131C4⋊C4—41no—
1132C4⋊C4—41no—
1133C4⋊C4—41no—
1134C4⋊C4—41no—
1135C4⋊C4—41no—
1136C4⋊C4—41no—
1137C4⋊C4—41no—
1138C4⋊C4—41no—
1139C4⋊C4—41no—
1140C4⋊C4—41no—
1141C4⋊C4—41no—
1142C4⋊C4—41no—
1143C4⋊C4—41no—
1144C4⋊C4—41no—
1145C4⋊C4—41no—
1146C4⋊C4—41no—
1147C4⋊C4—41no—
1148C4⋊C4—41no—
1149C4⋊C4—41no—
1150C4⋊C4—41no—
1151C4⋊C4—41no—
1152C4⋊C4—41no—
1153C4⋊C4—41no—
1154C4⋊C4—41no—
1155C4⋊C4—41no—
1156C4⋊C4C2×Q8×C4114yes—
1157C22⋊C4—22no—
1158C22⋊C4—22no—
1159C22⋊C4—22no—
1160C22⋊C4—41no—
1161C22⋊C4—41no—
1162C22⋊C4—41no—
1163C22⋊C4—41no—
1164C22⋊C4—41no—
1165C22⋊C4—41no—
1166C22⋊C4—41no—
1167C22⋊C4—41no—
1168C22⋊C4—41no—
1169C22⋊C4—41no—
1170C22⋊C4—41no—
1171C22⋊C4—41no—
1172C22⋊C4—41no—
1173C22⋊C4—41no—
1174C22⋊C4—41no—
1175C22⋊C4—41no—
1176C22⋊C4—41no—
1177C22⋊C4C2×Q8×C4114yes—
1178C22⋊C4C2×Q8×C4114yes—
1179C42—22no—
1180C42—22no—
1181C42—41no—
1182C42—41no—
1183C42—41no—
1184C42—41no—
1185C42—41no—
1186C42—41no—
1187C42—41no—
1188C42—41no—
1189C42—41no—
1190C42—41no—
1191C42C2×Q8×C4114yes—
1192C23—21no—
1193C23—21no—
1194C23—21no—
1195C23—21no—
1196C23—21no—
1197C23—21no—
1198C23—21no—
1199C23—21no—
1200C23—21no—
1201C23—21no—
1202C23—21no—
1203C23—21no—
1204C23C22×Q8×C4112yes—
1205C23C22×Q8×C4112yes—
1206C23C25×C4111yescharacteristic
1207Q8—82no—
1208Q8—82no—
1209Q8—82no—
1210Q8—82no—
1211Q8—82no—
1212D4—44no—
1213C2×C4—21no—
1214C2×C4—21no—
1215C2×C4—21no—
1216C2×C4—21no—
1217C2×C4—21no—
1218C2×C4—21no—
1219C2×C4—21no—
1220C2×C4—21no—
1221C2×C4—21no—
1222C2×C4—21no—
1223C2×C4—21no—
1224C2×C4—21no—
1225C2×C4—21no—
1226C2×C4—21no—
1227C2×C4—21no—
1228C2×C4—21no—
1229C2×C4—21no—
1230C2×C4—21no—
1231C2×C4—21no—
1232C2×C4—21no—
1233C2×C4—21no—
1234C2×C4—21no—
1235C2×C4—21no—
1236C2×C4—21no—
1237C2×C4—21no—
1238C2×C4—21no—
1239C2×C4—21no—
1240C2×C4—21no—
1241C2×C4—21no—
1242C2×C4—21no—
1243C2×C4—21no—
1244C2×C4—21no—
1245C2×C4—21no—
1246C2×C4—21no—
1247C2×C4—21no—
1248C2×C4—21no—
1249C2×C4—21no—
1250C2×C4—21no—
1251C2×C4—21no—
1252C2×C4—21no—
1253C2×C4—21no—
1254C2×C4—21no—
1255C2×C4—21no—
1256C2×C4—21no—
1257C2×C4—21no—
1258C2×C4—21no—
1259C2×C4—21no—
1260C2×C4—21no—
1261C2×C4—21no—
1262C2×C4—21no—
1263C2×C4—21no—
1264C2×C4—21no—
1265C2×C4—21no—
1266C2×C4—21no—
1267C2×C4—21no—
1268C2×C4—21no—
1269C2×C4—21no—
1270C2×C4—21no—
1271C2×C4—21no—
1272C2×C4—21no—
1273C2×C4—21no—
1274C2×C4—21no—
1275C2×C4—21no—
1276C2×C4—21no—
1277C2×C4—21no—
1278C2×C4—21no—
1279C2×C4—21no—
1280C2×C4—21no—
1281C2×C4—21no—
1282C2×C4—21no—
1283C2×C4—21no—
1284C2×C4—21no—
1285C2×C4—21no—
1286C2×C4—21no—
1287C2×C4—21no—
1288C2×C4—21no—
1289C2×C4—21no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—44no—
1293C2×C4—44no—
1294C2×C4—44no—
1295C2×C4—44no—
1296C2×C4—82no—
1297C2×C4—82no—
1298C2×C4C22×Q8×C4112yes—
1299C2×C4C22×Q8×C4112yes—
1300C2×C4C22×Q8×C4112yes—
1301C2×C4C22×Q8×C4112yes—
1302C2×C4C22×Q8×C4112yes—
1303C2×C4H(5,𝔽2)×C4112yes—
1304C2×C4H(5,𝔽2)×C4112yes—
1305C2×C42−1+4×C4112yes—
1306C22—22no—
1307C22—22no—
1308C22—22no—
1309C22—22no—
1310C22—22no—
1311C22—22no—
1312C22—41no—
1313C22—41no—
1314C22—41no—
1315C22—41no—
1316C22—41no—
1317C22—41no—
1318C22—41no—
1319C22—41no—
1320C22C23×Q8×C4111yescharacteristic
1321C22C2×H(5,𝔽2)×C4111yescharacteristic
1322C22C2×H(5,𝔽2)×C4111yescharacteristic
1323C22C2×2−1+4×C4111yescharacteristic
1324C22C41×#58511yescharacteristic
1325C22C41×#58511yescharacteristic
1326C22C41×#58511yescharacteristic
1327C4—22no—
1328C4—22no—
1329C4—22no—
1330C4—22no—
1331C4—22no—
1332C4—22no—
1333C4—22no—
1334C4—22no—
1335C4—41no—
1336C4—41no—
1337C4—41no—
1338C4—41no—
1339C4—41no—
1340C4—41no—
1341C4—41no—
1342C4—41no—
1343C4—41no—
1344C4—41no—
1345C4—41no—
1346C4—41no—
1347C4—41no—
1348C4—41no—
1349C4—41no—
1350C4—41no—
1351C4—41no—
1352C4—41no—
1353C4—41no—
1354C4—41no—
1355C4—41no—
1356C2—42no—
1357C2—42no—
1358C2C41×#345811yescharacteristic
1359C2C41×#350111yescharacteristic
1360C2C41×#350311yescharacteristic
1361C2C41×#353411yescharacteristic
1362C2C41×#354111yescharacteristic
1363C2C41×#355111yescharacteristic
1364C2C41×#356511yescharacteristic
subgroupG/H
center, socleC23×C41C25
commutator, Frattini, cosocleC23C25×C41
prime radicalC22×D4×C41C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C41 ◁ G

Complements

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

NH ≅ G/Ntype
1. C41×#2857C2semidirect
2. C41×#2855C2semidirect
3. C41×#2802C2semidirect
4. C41×#2792C2semidirect
5. C41×#2790C2semidirect
6. C41×#2788C2semidirect
9. C41×#2774C2semidirect
10. C41×#2768C2semidirect
11. C41×#2734C2semidirect
12. C41×#2729C2semidirect
13. C41×#2729C2semidirect
14. C41×#2704C2semidirect
15. C41×#2704C2semidirect
18. C41×#2677C2semidirect
19. C41×#2667C2semidirect
20. C41×#2665C2semidirect
21. C41×#2612C2semidirect
22. C41×#2608C2semidirect
23. C41×#2606C2semidirect
24. C41×#2605C2semidirect
25. C41×#2550C2semidirect
26. C41×#2549C2semidirect
27. C41×#2439C2semidirect
28. C41×#2438C2semidirect
209. C4×D4×C41Q8semidirect
623. #36754C41direct (N × H)
674. #2857C2×C41semidirect
675. #2855C2×C41semidirect
676. #2802C2×C41semidirect
677. #2792C2×C41semidirect
678. #2790C2×C41semidirect
679. #2788C2×C41semidirect
682. #2774C2×C41semidirect
683. #2768C2×C41semidirect
684. #2734C2×C41semidirect
685. #2729C2×C41semidirect
686. #2729C2×C41semidirect
687. #2704C2×C41semidirect
688. #2704C2×C41semidirect
691. #2677C2×C41semidirect
692. #2667C2×C41semidirect
693. #2665C2×C41semidirect
694. #2612C2×C41semidirect
695. #2608C2×C41semidirect
696. #2606C2×C41semidirect
697. #2605C2×C41semidirect
698. #2550C2×C41semidirect
699. #2549C2×C41semidirect
700. #2439C2×C41semidirect
701. #2438C2×C41semidirect
869. C41#36754direct (N × H)
892. C4×D4Q8×C41semidirect

Maximal subgroups

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

subgroupindex
C41×#28572
C41×#28552
C41×#28022
C41×#27922
C41×#27902
C41×#27882
C41×#27842
C41×#27802
C41×#27742
C41×#27682
C41×#27342
C41×#27292
C41×#27042
C41×#26922
C41×#26832
C41×#26772
C41×#26672
C41×#26652
C41×#26122
C41×#26082
C41×#26062
C41×#26052
C41×#25502
C41×#25492
C41×#24392
C41×#24382
C41×#23192
C41×#23182
C41×#22902
#3675441