Finite Group Databasebeta

← C41×#36779 #23812980

Subgroups — C41×#36779 #23812980

Order 10496.

1994 conjugacy classes of subgroups.

The subgroup lattice has 1600 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C41×#2852C211yesmaximal, characteristic, complemented
2C41×#2850C211yesmaximal, characteristic, complemented
3C41×#2781C211yesmaximal, characteristic, complemented
4C41×#2781C211yesmaximal, characteristic, complemented
5C41×#2778C211yesmaximal, characteristic, complemented
6C41×#2765C211yesmaximal, characteristic, complemented
7C41×#2764C211yesmaximal, characteristic, complemented
8C41×#2761C211yesmaximal, characteristic, complemented
9C41×#2756C211yesmaximal, characteristic, complemented
10C41×#2749C211yesmaximal, characteristic, complemented
11C41×#2743C211yesmaximal, characteristic, complemented
12C41×#2741C211yesmaximal, characteristic, complemented
13C41×#2735C211yesmaximal, characteristic, complemented
14C41×#2735C211yesmaximal, characteristic, complemented
15C41×#2730C211yesmaximal, characteristic, complemented
16C41×#2702C211yesmaximal, characteristic, complemented
17C41×#2685C211yesmaximal, characteristic, complemented
18C41×#2684C211yesmaximal, characteristic, complemented
19C41×#2623C211yesmaximal, characteristic, complemented
20C41×#2618C211yesmaximal, characteristic, complemented
21C41×#2510C211yesmaximal, characteristic, complemented
22C41×#2488C211yesmaximal, characteristic, complemented
23C41×#2444C211yesmaximal, characteristic, complemented
24C41×#2437C211yesmaximal, characteristic, complemented
25C41×#2425C211yesmaximal, characteristic, complemented
26C41×#2412C211yesmaximal, characteristic, complemented
27C41×#2410C211yesmaximal, characteristic
28C41×#2405C211yesmaximal, characteristic, complemented
29C41×#2321C211yesmaximal, characteristic, complemented
30C41×#2308C211yesmaximal, characteristic, complemented
31C2×C41×#388C211yesmaximal, characteristic, complemented
32C23×D4×C41C2211yescharacteristic
33C2×#126×C41C2211yescharacteristic, complemented
34C2×#124×C41C2211yescharacteristic, complemented
35C2×#123×C41C2211yescharacteristic
36C2×#123×C41C2211yescharacteristic
37C2×#123×C41C2211yescharacteristic, complemented
38C2×C22⋊Q8×C41C2211yescharacteristic, complemented
39C2×C22⋊Q8×C41C2211yescharacteristic, complemented
40C2×#121×C41C2211yescharacteristic
41C2×#121×C41C2211yescharacteristic
42C2×#120×C41C2211yescharacteristic
43C2×#120×C41C2211yescharacteristic
44C2×C4×D4×C41C2211yescharacteristic, complemented
45C22×C4⋊C4×C41C2211yescharacteristic, complemented
46C22×C22⋊C4×C41C2211yescharacteristic
47C22×C22⋊C4×C41C2211yescharacteristic
48C22×C22⋊C4×C41C2211yescharacteristic
49C22×C22⋊C4×C41C2211yescharacteristic
50C22×C42×C41C2211yescharacteristic, complemented
51C41×#401C2211yescharacteristic, complemented
52C41×#400C2211yescharacteristic, complemented
53C41×#400C2211yescharacteristic, complemented
54C41×#400C2211yescharacteristic, complemented
55C41×#400C2211yescharacteristic, complemented
56C41×#400C2211yescharacteristic, complemented
57C41×#400C2211yescharacteristic, complemented
58C41×#399C2211yescharacteristic
59C41×#399C2211yescharacteristic, complemented
60C41×#399C2211yescharacteristic, complemented
61C41×#398C2211yescharacteristic, complemented
62C41×#398C2211yescharacteristic, complemented
63C41×#398C2211yescharacteristic, complemented
64C41×#398C2211yescharacteristic, complemented
65C41×#398C2211yescharacteristic, complemented
66C41×#397C2211yescharacteristic
67C41×#397C2211yescharacteristic
68C41×#397C2211yescharacteristic, complemented
69C41×#397C2211yescharacteristic, complemented
70C41×#397C2211yescharacteristic, complemented
71C41×#397C2211yescharacteristic, complemented
72C41×#397C2211yescharacteristic, complemented
73C41×#397C2211yescharacteristic, complemented
74C41×#397C2211yescharacteristic, complemented
75C41×#397C2211yescharacteristic, complemented
76C41×#396C2211yescharacteristic
77C41×#396C2211yescharacteristic
78C41×#396C2211yescharacteristic, complemented
79C41×#396C2211yescharacteristic, complemented
80C41×#396C2211yescharacteristic, complemented
81C41×#396C2211yescharacteristic, complemented
82C41×#396C2211yescharacteristic, complemented
83C41×#394C2211yescharacteristic
84C41×#394C2211yescharacteristic
85C41×#394C2211yescharacteristic
86C41×#394C2211yescharacteristic
87C41×#394C2211yescharacteristic
88C41×#394C2211yescharacteristic
89C41×#394C2211yescharacteristic
90C41×#394C2211yescharacteristic
91C41×#394C2211yescharacteristic, complemented
92C41×#394C2211yescharacteristic, complemented
93C41×#394C2211yescharacteristic, complemented
94C41×#394C2211yescharacteristic, complemented
95C41×#393C2211yescharacteristic
96C41×#393C2211yescharacteristic, complemented
97C41×#392C2211yescharacteristic
98C41×#392C2211yescharacteristic
99C41×#391C2211yescharacteristic, complemented
100C41×#391C2211yescharacteristic, complemented
101C41×#390C2211yescharacteristic
102C41×#390C2211yescharacteristic, complemented
103C41×#390C2211yescharacteristic, complemented
104C41×#389C2211yescharacteristic, complemented
105C41×#388C2211yescharacteristic
106C41×#388C2211yescharacteristic
107C41×#388C2211yescharacteristic
108C41×#388C2211yescharacteristic
109C41×#388C2211yescharacteristic
110C41×#388C2211yescharacteristic
111C41×#388C2211yescharacteristic, complemented
112C41×#388C2211yescharacteristic, complemented
113C41×#388C2211yescharacteristic, complemented
114C41×#388C2211yescharacteristic, complemented
115C41×#388C2211yescharacteristic, complemented
116C41×#388C2211yescharacteristic, complemented
117C41×#388C2211yescharacteristic, complemented
118C41×#388C2211yescharacteristic, complemented
119C41×#388C2211yescharacteristic, complemented
120C41×#388C2211yescharacteristic, complemented
121C41×#388C2211yescharacteristic, complemented
122C41×#388C2211yescharacteristic, complemented
123C41×#388C2211yescharacteristic, complemented
124C41×#388C2211yescharacteristic, complemented
125C41×#388C2211yescharacteristic, complemented
126C41×#388C2211yescharacteristic, complemented
127C41×#388C2211yescharacteristic, complemented
128C41×#388C2211yescharacteristic, complemented
129C41×#388C2211yescharacteristic, complemented
130C41×#387C2211yescharacteristic, complemented
131C41×#387C2211yescharacteristic, complemented
132C41×#387C2211yescharacteristic, complemented
133C41×#387C2211yescharacteristic, complemented
134C41×#387C2211yescharacteristic, complemented
135C41×#386C2211yescharacteristic
136C41×#386C2211yescharacteristic
137C41×#386C2211yescharacteristic
138C41×#386C2211yescharacteristic
139C41×#386C2211yescharacteristic
140C41×#386C2211yescharacteristic
141C41×#386C2211yescharacteristic
142C41×#386C2211yescharacteristic
143C41×#386C2211yescharacteristic
144C41×#386C2211yescharacteristic
145C41×#386C2211yescharacteristic
146C41×#386C2211yescharacteristic
147C41×#386C2211yescharacteristic
148C41×#386C2211yescharacteristic
149C41×#386C2211yescharacteristic, complemented
150C41×#386C2211yescharacteristic, complemented
151C41×#386C2211yescharacteristic, complemented
152C41×#386C2211yescharacteristic, complemented
153C41×#386C2211yescharacteristic, complemented
154C41×#386C2211yescharacteristic, complemented
155C41×#386C2211yescharacteristic, complemented
156C41×#385C2211yescharacteristic
157C41×#385C2211yescharacteristic
158C41×#385C2211yescharacteristic
159C41×#385C2211yescharacteristic, complemented
160C41×#385C2211yescharacteristic, complemented
161C41×#385C2211yescharacteristic, complemented
162C41×#385C2211yescharacteristic, complemented
163C41×#385C2211yescharacteristic, complemented
164C41×#385C2211yescharacteristic, complemented
165C41×#383C2211yescharacteristic, complemented
166C41×#383C2211yescharacteristic, complemented
167C41×#382C2211yescharacteristic, complemented
168C41×#382C2211yescharacteristic, complemented
169C41×#381C2211yescharacteristic
170C41×#381C2211yescharacteristic
171C41×#381C2211yescharacteristic, complemented
172C41×#381C2211yescharacteristic, complemented
173C41×#380C2211yescharacteristic, complemented
174C41×#380C2211yescharacteristic, complemented
175C41×#380C2211yescharacteristic, complemented
176C41×#380C2211yescharacteristic, complemented
177C41×#380C2211yescharacteristic, complemented
178C41×#379C2211yescharacteristic
179C41×#379C2211yescharacteristic
180C41×#379C2211yescharacteristic
181C41×#379C2211yescharacteristic
182C41×#379C2211yescharacteristic
183C41×#379C2211yescharacteristic
184C4×C22⋊C4×C41C2211yescharacteristic, complemented
185C2×#95×C41C2211yescharacteristic, complemented
186C2×#95×C41C2211yescharacteristic, complemented
187C25×C41C2311yescharacteristic
188C25×C41C2311yescharacteristic
189C22×Q8×C41C2311yescharacteristic
190C22×D4×C41—24no—
191C22×D4×C41—42no—
192C22×D4×C41—42no—
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
202C23×C4×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
211C23×C4×C41C2311yescharacteristic
212#126×C41—42no—
213#124×C41—42no—
214#123×C41—42no—
215#123×C41—42no—
216#123×C41—42no—
217C22⋊Q8×C41—42no—
218C22⋊Q8×C41—42no—
219#121×C41—42no—
220#121×C41—42no—
221#120×C41—24no—
222#120×C41—42no—
223C4×D4×C41—42no—
224C2×C4⋊C4×C41—42no—
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×C22⋊C4×C41—24no—
252C2×C22⋊C4×C41—42no—
253C2×C22⋊C4×C41—42no—
254C2×C22⋊C4×C41—42no—
255C2×C22⋊C4×C41C2311yescharacteristic
256C2×C22⋊C4×C41C2311yescharacteristic
257C2×C22⋊C4×C41C2311yescharacteristic
258C2×C22⋊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
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
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×C41—22no—
364C24×C41—22no—
365C24×C41—22no—
366C24×C41—41no—
367C24×C41—41no—
368C24×C41—41no—
369C24×C41—41no—
370C24×C41—41no—
371C24×C41—41no—
372C24×C41—41no—
373C24×C41—41no—
374C24×C41—41no—
375C24×C41—41no—
376C24×C41#4114yes—
377C24×C41C2411yescharacteristic
378C24×C41C2411yescharacteristic
379C24×C41C2411yescharacteristic
380C24×C41C2411yescharacteristic
381C24×C41C2411yescharacteristic
382C24×C41C2411yescharacteristic
383C2×Q8×C41—22no—
384C2×Q8×C41—41no—
385C2×Q8×C41—41no—
386C2×D4×C41—22no—
387C2×D4×C41—22no—
388C2×D4×C41—22no—
389C2×D4×C41—22no—
390C2×D4×C41—22no—
391C2×D4×C41—22no—
392C2×D4×C41—22no—
393C2×D4×C41—22no—
394C2×D4×C41—22no—
395C2×D4×C41—22no—
396C2×D4×C41—22no—
397C2×D4×C41—22no—
398C2×D4×C41—22no—
399C2×D4×C41—22no—
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—416no—
414C22×C4×C41—22no—
415C22×C4×C41—22no—
416C22×C4×C41—22no—
417C22×C4×C41—22no—
418C22×C4×C41—22no—
419C22×C4×C41—22no—
420C22×C4×C41—22no—
421C22×C4×C41—22no—
422C22×C4×C41—22no—
423C22×C4×C41—22no—
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—41no—
441C22×C4×C41—41no—
442C22×C4×C41—41no—
443C22×C4×C41—41no—
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
466C22×C4×C41C2411yescharacteristic
467C22×C4×C41C2411yescharacteristic
468C22×C4×C41C2411yescharacteristic
469C4⋊C4×C41—22no—
470C4⋊C4×C41—41no—
471C4⋊C4×C41—41no—
472C4⋊C4×C41—41no—
473C4⋊C4×C41—41no—
474C4⋊C4×C41—41no—
475C4⋊C4×C41—41no—
476C4⋊C4×C41—41no—
477C4⋊C4×C41—41no—
478C4⋊C4×C41—41no—
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—
494C4⋊C4×C41—41no—
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—22no—
508C22⋊C4×C41—22no—
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—
546C22⋊C4×C41—41no—
547C22⋊C4×C41—41no—
548C22⋊C4×C41—41no—
549C22⋊C4×C41—41no—
550C22⋊C4×C41—41no—
551C42×C41—22no—
552C42×C41—22no—
553C42×C41—41no—
554C42×C41—41no—
555C42×C41—41no—
556C42×C41—41no—
557C42×C41—41no—
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—28no—
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—44no—
597C23×C41—44no—
598C23×C41—44no—
599C23×C41—82no—
600C23×C41—82no—
601C23×C41—82no—
602C23×C41—82no—
603C23×C41—82no—
604C23×C41—82no—
605C23×C41—82no—
606C23×C41—82no—
607C23×C41—82no—
608C23×C41—82no—
609C23×C41C2×#4112yes—
610C23×C41C2×#4112yes—
611C23×C41C2×#4112yes—
612C23×C41H(5,𝔽2)12yes—
613C23×C41H(5,𝔽2)12yes—
614C23×C41C2511yescharacteristic
615Q8×C41—82no—
616D4×C41—44no—
617D4×C41—44no—
618D4×C41—44no—
619D4×C41—44no—
620D4×C41—44no—
621D4×C41—82no—
622D4×C41—82no—
623D4×C41—82no—
624D4×C41—82no—
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—21no—
687C2×C4×C41—21no—
688C2×C4×C41—21no—
689C2×C4×C41—21no—
690C2×C4×C41—21no—
691C2×C4×C41—21no—
692C2×C4×C41—21no—
693C2×C4×C41—21no—
694C2×C4×C41—21no—
695C2×C4×C41—21no—
696C2×C4×C41—21no—
697C2×C4×C41—21no—
698C2×C4×C41—21no—
699C2×C4×C41—44no—
700C2×C4×C41—44no—
701C2×C4×C41—44no—
702C2×C4×C41—44no—
703C2×C4×C41—44no—
704C2×C4×C41—82no—
705C2×C4×C41—82no—
706C2×C4×C41—82no—
707C2×C4×C41—82no—
708C2×C4×C41—82no—
709C2×C4×C41H(5,𝔽2)12yes—
710#36779C4111yesmaximal, characteristic, direct product factor, Sylow
711C22×C41—22no—
712C22×C41—22no—
713C22×C41—22no—
714C22×C41—22no—
715C22×C41—22no—
716C22×C41—22no—
717C22×C41—22no—
718C22×C41—22no—
719C22×C41—22no—
720C22×C41—22no—
721C22×C41—22no—
722C22×C41—22no—
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×C41—41no—
743C22×C41—41no—
744C22×C41—41no—
745C22×C41—41no—
746C22×C41—41no—
747C22×C41—41no—
748C22×C41—41no—
749C22×C41—41no—
750C22×C41—41no—
751C22×C41—41no—
752C22×C41—88no—
753C22×C41—88no—
754C22×C41#53814yes—
755C22×C41C22×#4111yescharacteristic
756C22×C41C2×H(5,𝔽2)11yescharacteristic
757C22×C41C2×H(5,𝔽2)11yescharacteristic
758C22×C41C2×H(5,𝔽2)11yescharacteristic
759C22×C41#58511yescharacteristic
760C22×C41#58511yescharacteristic
761C22×C41#58511yescharacteristic
762C4×C41—22no—
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—
774C4×C41—41no—
775C4×C41—41no—
776C4×C41—41no—
777C4×C41—41no—
778C4×C41—41no—
779C4×C41—41no—
780C4×C41—41no—
781C4×C41—41no—
782C4×C41—41no—
783C4×C41—41no—
784C4×C41—41no—
785C4×C41—41no—
786C4×C41—41no—
787#2852C2×C4111yescharacteristic, complemented
788#2850C2×C4111yescharacteristic, complemented
789#2781C2×C4111yescharacteristic, complemented
790#2781C2×C4111yescharacteristic, complemented
791#2778C2×C4111yescharacteristic, complemented
792#2765C2×C4111yescharacteristic, complemented
793#2764C2×C4111yescharacteristic, complemented
794#2761C2×C4111yescharacteristic, complemented
795#2756C2×C4111yescharacteristic, complemented
796#2749C2×C4111yescharacteristic, complemented
797#2743C2×C4111yescharacteristic, complemented
798#2741C2×C4111yescharacteristic, complemented
799#2735C2×C4111yescharacteristic, complemented
800#2735C2×C4111yescharacteristic, complemented
801#2730C2×C4111yescharacteristic, complemented
802#2702C2×C4111yescharacteristic, complemented
803#2685C2×C4111yescharacteristic, complemented
804#2684C2×C4111yescharacteristic, complemented
805#2623C2×C4111yescharacteristic, complemented
806#2618C2×C4111yescharacteristic, complemented
807#2510C2×C4111yescharacteristic, complemented
808#2488C2×C4111yescharacteristic, complemented
809#2444C2×C4111yescharacteristic, complemented
810#2437C2×C4111yescharacteristic, complemented
811#2425C2×C4111yescharacteristic, complemented
812#2412C2×C4111yescharacteristic, complemented
813#2410C2×C4111yescharacteristic
814#2405C2×C4111yescharacteristic, complemented
815#2321C2×C4111yescharacteristic, complemented
816#2308C2×C4111yescharacteristic, complemented
817C2×#388C2×C4111yescharacteristic, complemented
818C2×C41—24no—
819C2×C41—42no—
820C2×C41—42no—
821C2×C41—81no—
822C2×C41—81no—
823C2×C41—81no—
824C2×C41C2×#53811yescharacteristic
825C2×C41#349111yescharacteristic
826C2×C41#350511yescharacteristic
827C2×C41#353411yescharacteristic
828C2×C41#354211yescharacteristic
829C2×C41#354511yescharacteristic
830C2×C41#356011yescharacteristic
831C23×D4C22×C4111yescharacteristic
832C2×#126C22×C4111yescharacteristic, complemented
833C2×#124C22×C4111yescharacteristic, complemented
834C2×#123C22×C4111yescharacteristic
835C2×#123C22×C4111yescharacteristic
836C2×#123C22×C4111yescharacteristic, complemented
837C2×C22⋊Q8C22×C4111yescharacteristic, complemented
838C2×C22⋊Q8C22×C4111yescharacteristic, complemented
839C2×#121C22×C4111yescharacteristic
840C2×#121C22×C4111yescharacteristic
841C2×#120C22×C4111yescharacteristic
842C2×#120C22×C4111yescharacteristic
843C2×C4×D4C22×C4111yescharacteristic, complemented
844C22×C4⋊C4C22×C4111yescharacteristic, complemented
845C22×C22⋊C4C22×C4111yescharacteristic
846C22×C22⋊C4C22×C4111yescharacteristic
847C22×C22⋊C4C22×C4111yescharacteristic
848C22×C22⋊C4C22×C4111yescharacteristic
849C22×C42C22×C4111yescharacteristic, complemented
850#401C22×C4111yescharacteristic, complemented
851#400C22×C4111yescharacteristic, complemented
852#400C22×C4111yescharacteristic, complemented
853#400C22×C4111yescharacteristic, complemented
854#400C22×C4111yescharacteristic, complemented
855#400C22×C4111yescharacteristic, complemented
856#400C22×C4111yescharacteristic, complemented
857#399C22×C4111yescharacteristic
858#399C22×C4111yescharacteristic, complemented
859#399C22×C4111yescharacteristic, complemented
860#398C22×C4111yescharacteristic, complemented
861#398C22×C4111yescharacteristic, complemented
862#398C22×C4111yescharacteristic, complemented
863#398C22×C4111yescharacteristic, complemented
864#398C22×C4111yescharacteristic, complemented
865#397C22×C4111yescharacteristic
866#397C22×C4111yescharacteristic
867#397C22×C4111yescharacteristic, complemented
868#397C22×C4111yescharacteristic, complemented
869#397C22×C4111yescharacteristic, complemented
870#397C22×C4111yescharacteristic, complemented
871#397C22×C4111yescharacteristic, complemented
872#397C22×C4111yescharacteristic, complemented
873#397C22×C4111yescharacteristic, complemented
874#397C22×C4111yescharacteristic, complemented
875#396C22×C4111yescharacteristic
876#396C22×C4111yescharacteristic
877#396C22×C4111yescharacteristic, complemented
878#396C22×C4111yescharacteristic, complemented
879#396C22×C4111yescharacteristic, complemented
880#396C22×C4111yescharacteristic, complemented
881#396C22×C4111yescharacteristic, complemented
882#394C22×C4111yescharacteristic
883#394C22×C4111yescharacteristic
884#394C22×C4111yescharacteristic
885#394C22×C4111yescharacteristic
886#394C22×C4111yescharacteristic
887#394C22×C4111yescharacteristic
888#394C22×C4111yescharacteristic
889#394C22×C4111yescharacteristic
890#394C22×C4111yescharacteristic, complemented
891#394C22×C4111yescharacteristic, complemented
892#394C22×C4111yescharacteristic, complemented
893#394C22×C4111yescharacteristic, complemented
894#393C22×C4111yescharacteristic
895#393C22×C4111yescharacteristic, complemented
896#392C22×C4111yescharacteristic
897#392C22×C4111yescharacteristic
898#391C22×C4111yescharacteristic, complemented
899#391C22×C4111yescharacteristic, complemented
900#390C22×C4111yescharacteristic
901#390C22×C4111yescharacteristic, complemented
902#390C22×C4111yescharacteristic, complemented
903#389C22×C4111yescharacteristic, complemented
904#388C22×C4111yescharacteristic
905#388C22×C4111yescharacteristic
906#388C22×C4111yescharacteristic
907#388C22×C4111yescharacteristic
908#388C22×C4111yescharacteristic
909#388C22×C4111yescharacteristic
910#388C22×C4111yescharacteristic, complemented
911#388C22×C4111yescharacteristic, complemented
912#388C22×C4111yescharacteristic, complemented
913#388C22×C4111yescharacteristic, complemented
914#388C22×C4111yescharacteristic, complemented
915#388C22×C4111yescharacteristic, complemented
916#388C22×C4111yescharacteristic, complemented
917#388C22×C4111yescharacteristic, complemented
918#388C22×C4111yescharacteristic, complemented
919#388C22×C4111yescharacteristic, complemented
920#388C22×C4111yescharacteristic, complemented
921#388C22×C4111yescharacteristic, complemented
922#388C22×C4111yescharacteristic, complemented
923#388C22×C4111yescharacteristic, complemented
924#388C22×C4111yescharacteristic, complemented
925#388C22×C4111yescharacteristic, complemented
926#388C22×C4111yescharacteristic, complemented
927#388C22×C4111yescharacteristic, complemented
928#388C22×C4111yescharacteristic, complemented
929#387C22×C4111yescharacteristic, complemented
930#387C22×C4111yescharacteristic, complemented
931#387C22×C4111yescharacteristic, complemented
932#387C22×C4111yescharacteristic, complemented
933#387C22×C4111yescharacteristic, complemented
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, complemented
949#386C22×C4111yescharacteristic, complemented
950#386C22×C4111yescharacteristic, complemented
951#386C22×C4111yescharacteristic, complemented
952#386C22×C4111yescharacteristic, complemented
953#386C22×C4111yescharacteristic, complemented
954#386C22×C4111yescharacteristic, complemented
955#385C22×C4111yescharacteristic
956#385C22×C4111yescharacteristic
957#385C22×C4111yescharacteristic
958#385C22×C4111yescharacteristic, complemented
959#385C22×C4111yescharacteristic, complemented
960#385C22×C4111yescharacteristic, complemented
961#385C22×C4111yescharacteristic, complemented
962#385C22×C4111yescharacteristic, complemented
963#385C22×C4111yescharacteristic, complemented
964#383C22×C4111yescharacteristic, complemented
965#383C22×C4111yescharacteristic, complemented
966#382C22×C4111yescharacteristic, complemented
967#382C22×C4111yescharacteristic, complemented
968#381C22×C4111yescharacteristic
969#381C22×C4111yescharacteristic
970#381C22×C4111yescharacteristic, complemented
971#381C22×C4111yescharacteristic, complemented
972#380C22×C4111yescharacteristic, complemented
973#380C22×C4111yescharacteristic, complemented
974#380C22×C4111yescharacteristic, complemented
975#380C22×C4111yescharacteristic, complemented
976#380C22×C4111yescharacteristic, complemented
977#379C22×C4111yescharacteristic
978#379C22×C4111yescharacteristic
979#379C22×C4111yescharacteristic
980#379C22×C4111yescharacteristic
981#379C22×C4111yescharacteristic
982#379C22×C4111yescharacteristic
983C4×C22⋊C4C22×C4111yescharacteristic, complemented
984C2×#95C22×C4111yescharacteristic, complemented
985C2×#95C22×C4111yescharacteristic, complemented
986C41#3677911yescharacteristic, direct product factor, Sylow
987C25C23×C4111yescharacteristic
988C25C23×C4111yescharacteristic
989C22×Q8C23×C4111yescharacteristic
990C22×D4—24no—
991C22×D4—42no—
992C22×D4—42no—
993C22×D4C23×C4111yescharacteristic
994C22×D4C23×C4111yescharacteristic
995C22×D4C23×C4111yescharacteristic
996C22×D4C23×C4111yescharacteristic
997C22×D4C23×C4111yescharacteristic
998C22×D4C23×C4111yescharacteristic
999C22×D4C23×C4111yescharacteristic
1000C22×D4C23×C4111yescharacteristic
1001C22×D4C23×C4111yescharacteristic
1002C23×C4C23×C4111yescharacteristic
1003C23×C4C23×C4111yescharacteristic
1004C23×C4C23×C4111yescharacteristic
1005C23×C4C23×C4111yescharacteristic
1006C23×C4C23×C4111yescharacteristic
1007C23×C4C23×C4111yescharacteristic
1008C23×C4C23×C4111yescharacteristic
1009C23×C4C23×C4111yescharacteristic
1010C23×C4C23×C4111yescharacteristic
1011C23×C4C23×C4111yescharacteristic
1012#126—42no—
1013#124—42no—
1014#123—42no—
1015#123—42no—
1016#123—42no—
1017C22⋊Q8—42no—
1018C22⋊Q8—42no—
1019#121—42no—
1020#121—42no—
1021#120—24no—
1022#120—42no—
1023C4×D4—42no—
1024C2×C4⋊C4—42no—
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×C4⋊C4C23×C4111yescharacteristic
1047C2×C4⋊C4C23×C4111yescharacteristic
1048C2×C4⋊C4C23×C4111yescharacteristic
1049C2×C4⋊C4C23×C4111yescharacteristic
1050C2×C4⋊C4C23×C4111yescharacteristic
1051C2×C22⋊C4—24no—
1052C2×C22⋊C4—42no—
1053C2×C22⋊C4—42no—
1054C2×C22⋊C4—42no—
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×C22⋊C4C23×C4111yescharacteristic
1099C2×C22⋊C4C23×C4111yescharacteristic
1100C2×C22⋊C4C23×C4111yescharacteristic
1101C2×C22⋊C4C23×C4111yescharacteristic
1102C2×C22⋊C4C23×C4111yescharacteristic
1103C2×C22⋊C4C23×C4111yescharacteristic
1104C2×C22⋊C4C23×C4111yescharacteristic
1105C2×C22⋊C4C23×C4111yescharacteristic
1106C2×C22⋊C4C23×C4111yescharacteristic
1107C2×C22⋊C4C23×C4111yescharacteristic
1108C2×C22⋊C4C23×C4111yescharacteristic
1109C2×C22⋊C4C23×C4111yescharacteristic
1110C2×C22⋊C4C23×C4111yescharacteristic
1111C2×C42—42no—
1112C2×C42C23×C4111yescharacteristic
1113C2×C42C23×C4111yescharacteristic
1114C2×C42C23×C4111yescharacteristic
1115C2×C42C23×C4111yescharacteristic
1116C2×C42C23×C4111yescharacteristic
1117C2×C42C23×C4111yescharacteristic
1118C2×C42C23×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
1150#95C23×C4111yescharacteristic
1151#95C23×C4111yescharacteristic
1152#95C23×C4111yescharacteristic
1153#95C23×C4111yescharacteristic
1154#95C23×C4111yescharacteristic
1155#95C23×C4111yescharacteristic
1156#95C23×C4111yescharacteristic
1157#95C23×C4111yescharacteristic
1158#95C23×C4111yescharacteristic
1159#95C23×C4111yescharacteristic
1160#95C23×C4111yescharacteristic
1161#95C23×C4111yescharacteristic
1162#95C23×C4111yescharacteristic
1163C24—22no—
1164C24—22no—
1165C24—22no—
1166C24—41no—
1167C24—41no—
1168C24—41no—
1169C24—41no—
1170C24—41no—
1171C24—41no—
1172C24—41no—
1173C24—41no—
1174C24—41no—
1175C24—41no—
1176C24#41×C4114yes—
1177C24C24×C4111yescharacteristic
1178C24C24×C4111yescharacteristic
1179C24C24×C4111yescharacteristic
1180C24C24×C4111yescharacteristic
1181C24C24×C4111yescharacteristic
1182C24C24×C4111yescharacteristic
1183C2×Q8—22no—
1184C2×Q8—41no—
1185C2×Q8—41no—
1186C2×D4—22no—
1187C2×D4—22no—
1188C2×D4—22no—
1189C2×D4—22no—
1190C2×D4—22no—
1191C2×D4—22no—
1192C2×D4—22no—
1193C2×D4—22no—
1194C2×D4—22no—
1195C2×D4—22no—
1196C2×D4—22no—
1197C2×D4—22no—
1198C2×D4—22no—
1199C2×D4—22no—
1200C2×D4—41no—
1201C2×D4—41no—
1202C2×D4—41no—
1203C2×D4—41no—
1204C2×D4—41no—
1205C2×D4—41no—
1206C2×D4—41no—
1207C2×D4—41no—
1208C2×D4—41no—
1209C2×D4—41no—
1210C2×D4—41no—
1211C2×D4—41no—
1212C2×D4—41no—
1213C2×D4—416no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—41no—
1225C22×C4—41no—
1226C22×C4—41no—
1227C22×C4—41no—
1228C22×C4—41no—
1229C22×C4—41no—
1230C22×C4—41no—
1231C22×C4—41no—
1232C22×C4—41no—
1233C22×C4—41no—
1234C22×C4—41no—
1235C22×C4—41no—
1236C22×C4—41no—
1237C22×C4—41no—
1238C22×C4—41no—
1239C22×C4—41no—
1240C22×C4—41no—
1241C22×C4—41no—
1242C22×C4—41no—
1243C22×C4—41no—
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
1253C22×C4C24×C4111yescharacteristic
1254C22×C4C24×C4111yescharacteristic
1255C22×C4C24×C4111yescharacteristic
1256C22×C4C24×C4111yescharacteristic
1257C22×C4C24×C4111yescharacteristic
1258C22×C4C24×C4111yescharacteristic
1259C22×C4C24×C4111yescharacteristic
1260C22×C4C24×C4111yescharacteristic
1261C22×C4C24×C4111yescharacteristic
1262C22×C4C24×C4111yescharacteristic
1263C22×C4C24×C4111yescharacteristic
1264C22×C4C24×C4111yescharacteristic
1265C22×C4C24×C4111yescharacteristic
1266C22×C4C24×C4111yescharacteristic
1267C22×C4C24×C4111yescharacteristic
1268C22×C4C24×C4111yescharacteristic
1269C4⋊C4—22no—
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—
1281C4⋊C4—41no—
1282C4⋊C4—41no—
1283C4⋊C4—41no—
1284C4⋊C4—41no—
1285C4⋊C4—41no—
1286C4⋊C4—41no—
1287C4⋊C4—41no—
1288C4⋊C4—41no—
1289C4⋊C4—41no—
1290C4⋊C4—41no—
1291C4⋊C4—41no—
1292C4⋊C4—41no—
1293C4⋊C4—41no—
1294C4⋊C4—41no—
1295C22⋊C4—22no—
1296C22⋊C4—22no—
1297C22⋊C4—22no—
1298C22⋊C4—22no—
1299C22⋊C4—22no—
1300C22⋊C4—22no—
1301C22⋊C4—22no—
1302C22⋊C4—22no—
1303C22⋊C4—22no—
1304C22⋊C4—22no—
1305C22⋊C4—22no—
1306C22⋊C4—22no—
1307C22⋊C4—22no—
1308C22⋊C4—22no—
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—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C22⋊C4—41no—
1344C22⋊C4—41no—
1345C22⋊C4—41no—
1346C22⋊C4—41no—
1347C22⋊C4—41no—
1348C22⋊C4—41no—
1349C22⋊C4—41no—
1350C22⋊C4—41no—
1351C42—22no—
1352C42—22no—
1353C42—41no—
1354C42—41no—
1355C42—41no—
1356C42—41no—
1357C42—41no—
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—28no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—44no—
1397C23—44no—
1398C23—44no—
1399C23—82no—
1400C23—82no—
1401C23—82no—
1402C23—82no—
1403C23—82no—
1404C23—82no—
1405C23—82no—
1406C23—82no—
1407C23—82no—
1408C23—82no—
1409C23C2×#41×C4112yes—
1410C23C2×#41×C4112yes—
1411C23C2×#41×C4112yes—
1412C23H(5,𝔽2)×C4112yes—
1413C23H(5,𝔽2)×C4112yes—
1414C23C25×C4111yescharacteristic
1415Q8—82no—
1416D4—44no—
1417D4—44no—
1418D4—44no—
1419D4—44no—
1420D4—44no—
1421D4—82no—
1422D4—82no—
1423D4—82no—
1424D4—82no—
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—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—44no—
1500C2×C4—44no—
1501C2×C4—44no—
1502C2×C4—44no—
1503C2×C4—44no—
1504C2×C4—82no—
1505C2×C4—82no—
1506C2×C4—82no—
1507C2×C4—82no—
1508C2×C4—82no—
1509C2×C4H(5,𝔽2)×C4112yes—
1510C22—22no—
1511C22—22no—
1512C22—22no—
1513C22—22no—
1514C22—22no—
1515C22—22no—
1516C22—22no—
1517C22—22no—
1518C22—22no—
1519C22—22no—
1520C22—22no—
1521C22—22no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—41no—
1531C22—41no—
1532C22—41no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—88no—
1552C22—88no—
1553C22C41×#53814yes—
1554C22C22×#41×C4111yescharacteristic
1555C22C2×H(5,𝔽2)×C4111yescharacteristic
1556C22C2×H(5,𝔽2)×C4111yescharacteristic
1557C22C2×H(5,𝔽2)×C4111yescharacteristic
1558C22C41×#58511yescharacteristic
1559C22C41×#58511yescharacteristic
1560C22C41×#58511yescharacteristic
1561C4—22no—
1562C4—41no—
1563C4—41no—
1564C4—41no—
1565C4—41no—
1566C4—41no—
1567C4—41no—
1568C4—41no—
1569C4—41no—
1570C4—41no—
1571C4—41no—
1572C4—41no—
1573C4—41no—
1574C4—41no—
1575C4—41no—
1576C4—41no—
1577C4—41no—
1578C4—41no—
1579C4—41no—
1580C4—41no—
1581C4—41no—
1582C4—41no—
1583C4—41no—
1584C4—41no—
1585C4—41no—
1586C2—24no—
1587C2—42no—
1588C2—42no—
1589C2—81no—
1590C2—81no—
1591C2—81no—
1592C2C2×C41×#53811yescharacteristic
1593C2C41×#349111yescharacteristic
1594C2C41×#350511yescharacteristic
1595C2C41×#353411yescharacteristic
1596C2C41×#354211yescharacteristic
1597C2C41×#354511yescharacteristic
1598C2C41×#356011yescharacteristic
subgroupG/H
center, socleC23×C41C25
commutator, Frattini, cosocleC23C25×C41
prime radicalC41×#2410C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C41 ◁ G

Complements

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

NH ≅ G/Ntype
1. C41×#2852C2semidirect
2. C41×#2850C2semidirect
3. C41×#2781C2semidirect
4. C41×#2781C2semidirect
5. C41×#2778C2semidirect
6. C41×#2765C2semidirect
7. C41×#2764C2semidirect
8. C41×#2761C2semidirect
9. C41×#2756C2semidirect
10. C41×#2749C2semidirect
11. C41×#2743C2semidirect
12. C41×#2741C2semidirect
13. C41×#2735C2semidirect
14. C41×#2735C2semidirect
15. C41×#2730C2semidirect
16. C41×#2702C2semidirect
17. C41×#2685C2semidirect
18. C41×#2684C2semidirect
19. C41×#2623C2semidirect
20. C41×#2618C2semidirect
21. C41×#2510C2semidirect
22. C41×#2488C2semidirect
23. C41×#2444C2semidirect
24. C41×#2437C2semidirect
25. C41×#2425C2semidirect
26. C41×#2412C2semidirect
28. C41×#2405C2semidirect
29. C41×#2321C2semidirect
30. C41×#2308C2semidirect
31. C2×C41×#388C2semidirect
33. C2×#126×C41C22semidirect
34. C2×#124×C41C22semidirect
37. C2×#123×C41C22semidirect
38. C2×C22⋊Q8×C41C22semidirect
39. C2×C22⋊Q8×C41C22semidirect
44. C2×C4×D4×C41C22semidirect
45. C22×C4⋊C4×C41C22semidirect
50. C22×C42×C41C22semidirect
51. C41×#401C22semidirect
52. C41×#400C22semidirect
53. C41×#400C22semidirect
54. C41×#400C22semidirect
55. C41×#400C22semidirect
56. C41×#400C22semidirect
57. C41×#400C22semidirect
59. C41×#399C22semidirect
60. C41×#399C22semidirect
61. C41×#398C22semidirect
62. C41×#398C22semidirect
63. C41×#398C22semidirect
64. C41×#398C22semidirect
65. C41×#398C22semidirect
68. C41×#397C22semidirect
69. C41×#397C22semidirect
70. C41×#397C22semidirect
71. C41×#397C22semidirect
72. C41×#397C22semidirect
73. C41×#397C22semidirect
74. C41×#397C22semidirect
75. C41×#397C22semidirect
78. C41×#396C22semidirect
79. C41×#396C22semidirect
80. C41×#396C22semidirect
81. C41×#396C22semidirect
82. C41×#396C22semidirect
91. C41×#394C22semidirect
92. C41×#394C22semidirect
93. C41×#394C22semidirect
94. C41×#394C22semidirect
96. C41×#393C22semidirect
99. C41×#391C22semidirect
100. C41×#391C22semidirect
102. C41×#390C22semidirect
103. C41×#390C22semidirect
104. C41×#389C22semidirect
111. C41×#388C22semidirect
112. C41×#388C22semidirect
113. C41×#388C22semidirect
114. C41×#388C22semidirect
115. C41×#388C22semidirect
116. C41×#388C22semidirect
117. C41×#388C22semidirect
118. C41×#388C22semidirect
119. C41×#388C22semidirect
120. C41×#388C22semidirect
121. C41×#388C22semidirect
122. C41×#388C22semidirect
123. C41×#388C22semidirect
124. C41×#388C22semidirect
125. C41×#388C22semidirect
126. C41×#388C22semidirect
127. C41×#388C22semidirect
128. C41×#388C22semidirect
129. C41×#388C22semidirect
130. C41×#387C22semidirect
131. C41×#387C22semidirect
132. C41×#387C22semidirect
133. C41×#387C22semidirect
134. C41×#387C22semidirect
149. C41×#386C22semidirect
150. C41×#386C22semidirect
151. C41×#386C22semidirect
152. C41×#386C22semidirect
153. C41×#386C22semidirect
154. C41×#386C22semidirect
155. C41×#386C22semidirect
159. C41×#385C22semidirect
160. C41×#385C22semidirect
161. C41×#385C22semidirect
162. C41×#385C22semidirect
163. C41×#385C22semidirect
164. C41×#385C22semidirect
165. C41×#383C22semidirect
166. C41×#383C22semidirect
167. C41×#382C22semidirect
168. C41×#382C22semidirect
171. C41×#381C22semidirect
172. C41×#381C22semidirect
173. C41×#380C22semidirect
174. C41×#380C22semidirect
175. C41×#380C22semidirect
176. C41×#380C22semidirect
177. C41×#380C22semidirect
184. C4×C22⋊C4×C41C22semidirect
185. C2×#95×C41C22semidirect
186. C2×#95×C41C22semidirect
710. #36779C41direct (N × H)
787. #2852C2×C41semidirect
788. #2850C2×C41semidirect
789. #2781C2×C41semidirect
790. #2781C2×C41semidirect
791. #2778C2×C41semidirect
792. #2765C2×C41semidirect
793. #2764C2×C41semidirect
794. #2761C2×C41semidirect
795. #2756C2×C41semidirect
796. #2749C2×C41semidirect
797. #2743C2×C41semidirect
798. #2741C2×C41semidirect
799. #2735C2×C41semidirect
800. #2735C2×C41semidirect
801. #2730C2×C41semidirect
802. #2702C2×C41semidirect
803. #2685C2×C41semidirect
804. #2684C2×C41semidirect
805. #2623C2×C41semidirect
806. #2618C2×C41semidirect
807. #2510C2×C41semidirect
808. #2488C2×C41semidirect
809. #2444C2×C41semidirect
810. #2437C2×C41semidirect
811. #2425C2×C41semidirect
812. #2412C2×C41semidirect
814. #2405C2×C41semidirect
815. #2321C2×C41semidirect
816. #2308C2×C41semidirect
817. C2×#388C2×C41semidirect
832. C2×#126C22×C41semidirect
833. C2×#124C22×C41semidirect
836. C2×#123C22×C41semidirect
837. C2×C22⋊Q8C22×C41semidirect
838. C2×C22⋊Q8C22×C41semidirect
843. C2×C4×D4C22×C41semidirect
844. C22×C4⋊C4C22×C41semidirect
849. C22×C42C22×C41semidirect
850. #401C22×C41semidirect
851. #400C22×C41semidirect
852. #400C22×C41semidirect
853. #400C22×C41semidirect
854. #400C22×C41semidirect
855. #400C22×C41semidirect
856. #400C22×C41semidirect
858. #399C22×C41semidirect
859. #399C22×C41semidirect
860. #398C22×C41semidirect
861. #398C22×C41semidirect
862. #398C22×C41semidirect
863. #398C22×C41semidirect
864. #398C22×C41semidirect
867. #397C22×C41semidirect
868. #397C22×C41semidirect
869. #397C22×C41semidirect
870. #397C22×C41semidirect
871. #397C22×C41semidirect
872. #397C22×C41semidirect
873. #397C22×C41semidirect
874. #397C22×C41semidirect
877. #396C22×C41semidirect
878. #396C22×C41semidirect
879. #396C22×C41semidirect
880. #396C22×C41semidirect
881. #396C22×C41semidirect
890. #394C22×C41semidirect
891. #394C22×C41semidirect
892. #394C22×C41semidirect
893. #394C22×C41semidirect
895. #393C22×C41semidirect
898. #391C22×C41semidirect
899. #391C22×C41semidirect
901. #390C22×C41semidirect
902. #390C22×C41semidirect
903. #389C22×C41semidirect
910. #388C22×C41semidirect
911. #388C22×C41semidirect
912. #388C22×C41semidirect
913. #388C22×C41semidirect
914. #388C22×C41semidirect
915. #388C22×C41semidirect
916. #388C22×C41semidirect
917. #388C22×C41semidirect
918. #388C22×C41semidirect
919. #388C22×C41semidirect
920. #388C22×C41semidirect
921. #388C22×C41semidirect
922. #388C22×C41semidirect
923. #388C22×C41semidirect
924. #388C22×C41semidirect
925. #388C22×C41semidirect
926. #388C22×C41semidirect
927. #388C22×C41semidirect
928. #388C22×C41semidirect
929. #387C22×C41semidirect
930. #387C22×C41semidirect
931. #387C22×C41semidirect
932. #387C22×C41semidirect
933. #387C22×C41semidirect
948. #386C22×C41semidirect
949. #386C22×C41semidirect
950. #386C22×C41semidirect
951. #386C22×C41semidirect
952. #386C22×C41semidirect
953. #386C22×C41semidirect
954. #386C22×C41semidirect
958. #385C22×C41semidirect
959. #385C22×C41semidirect
960. #385C22×C41semidirect
961. #385C22×C41semidirect
962. #385C22×C41semidirect
963. #385C22×C41semidirect
964. #383C22×C41semidirect
965. #383C22×C41semidirect
966. #382C22×C41semidirect
967. #382C22×C41semidirect
970. #381C22×C41semidirect
971. #381C22×C41semidirect
972. #380C22×C41semidirect
973. #380C22×C41semidirect
974. #380C22×C41semidirect
975. #380C22×C41semidirect
976. #380C22×C41semidirect
983. C4×C22⋊C4C22×C41semidirect
984. C2×#95C22×C41semidirect
985. C2×#95C22×C41semidirect
986. C41#36779direct (N × H)

Maximal subgroups

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

subgroupindex
C41×#28522
C41×#28502
C41×#27812
C41×#27782
C41×#27652
C41×#27642
C41×#27612
C41×#27562
C41×#27492
C41×#27432
C41×#27412
C41×#27352
C41×#27302
C41×#27022
C41×#26852
C41×#26842
C41×#26232
C41×#26182
C41×#25102
C41×#24882
C41×#24442
C41×#24372
C41×#24252
C41×#24122
C41×#24102
C41×#24052
C41×#23212
C41×#23082
C2×C41×#3882
#3677941