Finite Group Databasebeta

← C41×#36746 #23812947

Subgroups — C41×#36746 #23812947

Order 10496.

2152 conjugacy classes of subgroups.

The subgroup lattice has 1626 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C41×#540C211yesmaximal, characteristic, complemented
2C2×C41×#539C211yesmaximal, characteristic, complemented
3C41×#2854C211yesmaximal, characteristic, complemented
4C41×#2850C211yesmaximal, characteristic, complemented
5C41×#2719C211yesmaximal, characteristic, complemented
6C41×#2711C211yesmaximal, characteristic, complemented
7C41×#2709C211yesmaximal, characteristic, complemented
8C41×#2708C211yesmaximal, characteristic, complemented
9C41×#2706C211yesmaximal, characteristic, complemented
10C41×#2703C211yesmaximal, characteristic, complemented
11C41×#2695C211yesmaximal, characteristic, complemented
12C41×#2693C211yesmaximal, characteristic, complemented
13C41×#2691C211yesmaximal, characteristic, complemented
14C41×#2690C211yesmaximal, characteristic, complemented
15C41×#2688C211yesmaximal, characteristic, complemented
16C41×#2687C211yesmaximal, characteristic, complemented
17C41×#2676C211yesmaximal, characteristic, complemented
18C41×#2673C211yesmaximal, characteristic, complemented
19C41×#2672C211yesmaximal, characteristic, complemented
20C41×#2671C211yesmaximal, characteristic, complemented
21C41×#2663C211yesmaximal, characteristic, complemented
22C41×#2661C211yesmaximal, characteristic, complemented
23C41×#2611C211yesmaximal, characteristic, complemented
24C41×#2603C211yesmaximal, characteristic, complemented
25C41×#2602C211yesmaximal, characteristic, complemented
26C41×#2601C211yesmaximal, characteristic, complemented
27C41×#2591C211yesmaximal, characteristic, complemented
28C41×#2562C211yesmaximal, characteristic, complemented
29C41×#2414C211yesmaximal, characteristic, complemented
30C41×#2413C211yesmaximal, characteristic, complemented
31C41×#2290C211yesmaximal, characteristic, complemented
32C41×#540—28no—
33C41×#539—28no—
34C2×#127×C41C2211yescharacteristic
35C2×#126×C41C2211yescharacteristic
36C2×#126×C41C2211yescharacteristic
37C2×#125×C41C2211yescharacteristic
38C2×#125×C41C2211yescharacteristic
39C2×#125×C41C2211yescharacteristic
40C2×#124×C41C2211yescharacteristic
41C2×#123×C41C2211yescharacteristic
42C2×#123×C41C2211yescharacteristic
43C2×#123×C41C2211yescharacteristic
44C2×#123×C41C2211yescharacteristic
45C2×#123×C41C2211yescharacteristic
46C2×#123×C41C2211yescharacteristic
47C2×#123×C41C2211yescharacteristic
48C2×#123×C41C2211yescharacteristic
49C2×#123×C41C2211yescharacteristic
50C2×C22⋊Q8×C41C2211yescharacteristic
51C2×C22⋊Q8×C41C2211yescharacteristic
52C2×C22⋊Q8×C41C2211yescharacteristic
53C2×#121×C41C2211yescharacteristic
54C2×#121×C41C2211yescharacteristic
55C2×#121×C41C2211yescharacteristic
56C2×#121×C41C2211yescharacteristic
57C2×#121×C41C2211yescharacteristic
58C2×#121×C41C2211yescharacteristic
59C2×#121×C41C2211yescharacteristic
60C2×#121×C41C2211yescharacteristic
61C2×#121×C41C2211yescharacteristic
62C2×C4×D4×C41C2211yescharacteristic
63C2×C4×D4×C41C2211yescharacteristic
64C2×C4×D4×C41C2211yescharacteristic
65C2×#117×C41C2211yescharacteristic
66C2×#117×C41C2211yescharacteristic
67C22×C4⋊C4×C41C2211yescharacteristic
68C22×C42×C41C2211yescharacteristic
69C41×#400C2211yescharacteristic
70C41×#400C2211yescharacteristic
71C41×#400C2211yescharacteristic
72C41×#400C2211yescharacteristic
73C41×#400C2211yescharacteristic
74C41×#400C2211yescharacteristic
75C41×#399C2211yescharacteristic
76C41×#399C2211yescharacteristic
77C41×#398C2211yescharacteristic
78C41×#398C2211yescharacteristic
79C41×#398C2211yescharacteristic
80C41×#398C2211yescharacteristic
81C41×#398C2211yescharacteristic
82C41×#398C2211yescharacteristic
83C41×#397C2211yescharacteristic
84C41×#397C2211yescharacteristic
85C41×#397C2211yescharacteristic
86C41×#397C2211yescharacteristic
87C41×#397C2211yescharacteristic
88C41×#397C2211yescharacteristic
89C41×#396C2211yescharacteristic
90C41×#396C2211yescharacteristic
91C41×#396C2211yescharacteristic
92C41×#396C2211yescharacteristic
93C41×#395C2211yescharacteristic
94C41×#394C2211yescharacteristic
95C41×#394C2211yescharacteristic
96C41×#394C2211yescharacteristic
97C41×#394C2211yescharacteristic
98C41×#394C2211yescharacteristic
99C41×#394C2211yescharacteristic
100C41×#394C2211yescharacteristic
101C41×#394C2211yescharacteristic
102C41×#394C2211yescharacteristic
103C41×#394C2211yescharacteristic
104C41×#394C2211yescharacteristic
105C41×#394C2211yescharacteristic
106C41×#394C2211yescharacteristic
107C41×#394C2211yescharacteristic
108C41×#394C2211yescharacteristic
109C41×#393C2211yescharacteristic
110C41×#392C2211yescharacteristic
111C41×#392C2211yescharacteristic
112C41×#392C2211yescharacteristic
113C41×#392C2211yescharacteristic
114C41×#392C2211yescharacteristic
115C41×#392C2211yescharacteristic
116C41×#392C2211yescharacteristic
117C41×#391C2211yescharacteristic
118C41×#390C2211yescharacteristic
119C41×#390C2211yescharacteristic
120C41×#390C2211yescharacteristic
121C41×#390C2211yescharacteristic
122C41×#390C2211yescharacteristic
123C41×#390C2211yescharacteristic
124C41×#389C2211yescharacteristic
125C41×#389C2211yescharacteristic
126C41×#389C2211yescharacteristic
127C41×#389C2211yescharacteristic
128C41×#389C2211yescharacteristic
129C41×#388C2211yescharacteristic
130C41×#388C2211yescharacteristic
131C41×#388C2211yescharacteristic
132C41×#388C2211yescharacteristic
133C41×#388C2211yescharacteristic
134C41×#388C2211yescharacteristic
135C41×#388C2211yescharacteristic
136C41×#388C2211yescharacteristic
137C41×#388C2211yescharacteristic
138C41×#388C2211yescharacteristic
139C41×#388C2211yescharacteristic
140C41×#388C2211yescharacteristic
141C41×#388C2211yescharacteristic
142C41×#388C2211yescharacteristic
143C41×#388C2211yescharacteristic
144C41×#388C2211yescharacteristic
145C41×#387C2211yescharacteristic
146C41×#387C2211yescharacteristic
147C41×#387C2211yescharacteristic
148C41×#387C2211yescharacteristic
149C41×#387C2211yescharacteristic
150C41×#387C2211yescharacteristic
151C41×#386C2211yescharacteristic
152C41×#386C2211yescharacteristic
153C41×#386C2211yescharacteristic
154C41×#386C2211yescharacteristic
155C41×#386C2211yescharacteristic
156C41×#386C2211yescharacteristic
157C41×#386C2211yescharacteristic
158C41×#386C2211yescharacteristic
159C41×#386C2211yescharacteristic
160C41×#386C2211yescharacteristic
161C41×#386C2211yescharacteristic
162C41×#386C2211yescharacteristic
163C41×#386C2211yescharacteristic
164C41×#386C2211yescharacteristic
165C41×#386C2211yescharacteristic
166C41×#386C2211yescharacteristic
167C41×#386C2211yescharacteristic
168C41×#385C2211yescharacteristic
169C41×#385C2211yescharacteristic
170C41×#385C2211yescharacteristic
171C41×#385C2211yescharacteristic
172C41×#385C2211yescharacteristic
173C41×#385C2211yescharacteristic
174C41×#385C2211yescharacteristic
175C41×#385C2211yescharacteristic
176C41×#385C2211yescharacteristic
177C41×#382C2211yescharacteristic
178C41×#381C2211yescharacteristic
179C41×#380C2211yescharacteristic
180C41×#380C2211yescharacteristic
181C41×#380C2211yescharacteristic
182C41×#380C2211yescharacteristic
183C41×#380C2211yescharacteristic
184C41×#380C2211yescharacteristic
185C4×C4⋊C4×C41C2211yescharacteristic
186C4×C22⋊C4×C41C2211yescharacteristic
187C4×C22⋊C4×C41C2211yescharacteristic
188C41×#376C2211yescharacteristic
189C22×Q8×C41C2311yescharacteristic
190C22×D4×C41C2311yescharacteristic
191C22×D4×C41C2311yescharacteristic
192C22×D4×C41C2311yescharacteristic
193C22×D4×C41C2311yescharacteristic
194C22×D4×C41C2311yescharacteristic
195C22×D4×C41C2311yescharacteristic
196C22×D4×C41C2311yescharacteristic
197C22×D4×C41C2311yescharacteristic
198C22×D4×C41C2311yescharacteristic
199C22×D4×C41C2311yescharacteristic
200C22×D4×C41C2311yescharacteristic
201C22×D4×C41C2311yescharacteristic
202C22×D4×C41C2311yescharacteristic
203C22×D4×C41C2311yescharacteristic
204C22×D4×C41C2311yescharacteristic
205C23×C4×C41C2311yescharacteristic
206C23×C4×C41C2311yescharacteristic
207C23×C4×C41C2311yescharacteristic
208C23×C4×C41C2311yescharacteristic
209C23×C4×C41C2311yescharacteristic
210C23×C4×C41C2311yescharacteristic
211C23×C4×C41C2311yescharacteristic
212C23×C4×C41C2311yescharacteristic
213C23×C4×C41C2311yescharacteristic
214C23×C4×C41C2311yescharacteristic
215#127×C41—24no—
216#126×C41—24no—
217#126×C41—24no—
218#125×C41—24no—
219#125×C41—24no—
220#125×C41—24no—
221#124×C41—42no—
222#123×C41—24no—
223#123×C41—24no—
224#123×C41—24no—
225#123×C41—24no—
226#123×C41—24no—
227#123×C41—24no—
228#123×C41—24no—
229#123×C41—24no—
230#123×C41—42no—
231C22⋊Q8×C41—24no—
232C22⋊Q8×C41—24no—
233C22⋊Q8×C41—24no—
234#121×C41—24no—
235#121×C41—24no—
236#121×C41—24no—
237#121×C41—24no—
238#121×C41—24no—
239#121×C41—24no—
240#121×C41—24no—
241#121×C41—42no—
242#121×C41—42no—
243C4×D4×C41—24no—
244C4×D4×C41—24no—
245C4×D4×C41D418yescomplemented
246#117×C41—24no—
247#117×C41—42no—
248C2×C4⋊C4×C41—24no—
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×C4⋊C4×C41C2311yescharacteristic
264C2×C4⋊C4×C41C2311yescharacteristic
265C2×C4⋊C4×C41C2311yescharacteristic
266C2×C4⋊C4×C41C2311yescharacteristic
267C2×C4⋊C4×C41C2311yescharacteristic
268C2×C4⋊C4×C41C2311yescharacteristic
269C2×C4⋊C4×C41C2311yescharacteristic
270C2×C4⋊C4×C41C2311yescharacteristic
271C2×C4⋊C4×C41C2311yescharacteristic
272C2×C4⋊C4×C41C2311yescharacteristic
273C2×C4⋊C4×C41C2311yescharacteristic
274C2×C4⋊C4×C41C2311yescharacteristic
275C2×C4⋊C4×C41C2311yescharacteristic
276C2×C4⋊C4×C41C2311yescharacteristic
277C2×C4⋊C4×C41C2311yescharacteristic
278C2×C4⋊C4×C41C2311yescharacteristic
279C2×C4⋊C4×C41C2311yescharacteristic
280C2×C4⋊C4×C41C2311yescharacteristic
281C2×C4⋊C4×C41C2311yescharacteristic
282C2×C4⋊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×C22⋊C4×C41C2311yescharacteristic
312C2×C22⋊C4×C41C2311yescharacteristic
313C2×C22⋊C4×C41C2311yescharacteristic
314C2×C22⋊C4×C41C2311yescharacteristic
315C2×C22⋊C4×C41C2311yescharacteristic
316C2×C22⋊C4×C41C2311yescharacteristic
317C2×C22⋊C4×C41C2311yescharacteristic
318C2×C22⋊C4×C41C2311yescharacteristic
319C2×C22⋊C4×C41C2311yescharacteristic
320C2×C22⋊C4×C41C2311yescharacteristic
321C2×C22⋊C4×C41C2311yescharacteristic
322C2×C22⋊C4×C41C2311yescharacteristic
323C2×C22⋊C4×C41C2311yescharacteristic
324C2×C22⋊C4×C41C2311yescharacteristic
325C2×C22⋊C4×C41C2311yescharacteristic
326C2×C22⋊C4×C41C2311yescharacteristic
327C2×C22⋊C4×C41C2311yescharacteristic
328C2×C22⋊C4×C41C2311yescharacteristic
329C2×C22⋊C4×C41C2311yescharacteristic
330C2×C22⋊C4×C41C2311yescharacteristic
331C2×C22⋊C4×C41C2311yescharacteristic
332C2×C22⋊C4×C41C2311yescharacteristic
333C2×C42×C41—42no—
334C2×C42×C41C2311yescharacteristic
335C2×C42×C41C2311yescharacteristic
336C2×C42×C41C2311yescharacteristic
337C2×C42×C41C2311yescharacteristic
338C2×C42×C41C2311yescharacteristic
339C2×C42×C41C2311yescharacteristic
340C2×C42×C41C2311yescharacteristic
341C2×C42×C41C2311yescharacteristic
342C2×C42×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
363#95×C41C2311yescharacteristic
364#95×C41C2311yescharacteristic
365#95×C41C2311yescharacteristic
366#95×C41C2311yescharacteristic
367#95×C41C2311yescharacteristic
368#95×C41C2311yescharacteristic
369#95×C41C2311yescharacteristic
370#95×C41C2311yescharacteristic
371#95×C41C2311yescharacteristic
372#95×C41C2311yescharacteristic
373#95×C41C2311yescharacteristic
374#95×C41C2311yescharacteristic
375#95×C41C2311yescharacteristic
376#95×C41C2311yescharacteristic
377#95×C41C2311yescharacteristic
378#95×C41C2311yescharacteristic
379C24×C41C2411yescharacteristic
380C24×C41C2411yescharacteristic
381C24×C41C2411yescharacteristic
382C24×C41C2411yescharacteristic
383C24×C41C2411yescharacteristic
384C24×C41C2411yescharacteristic
385C2×Q8×C41—22no—
386C2×Q8×C41—41no—
387C2×Q8×C41—41no—
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—41no—
414C2×D4×C41—41no—
415C2×D4×C41—41no—
416C2×D4×C41—41no—
417C2×D4×C41—41no—
418C2×D4×C41—41no—
419C2×D4×C41—41no—
420C2×D4×C41—41no—
421C2×D4×C41—41no—
422C2×D4×C41—41no—
423C2×D4×C41—41no—
424C2×D4×C41—41no—
425C2×D4×C41—41no—
426C2×D4×C41—41no—
427C2×D4×C41—41no—
428C2×D4×C41—41no—
429C2×D4×C41—41no—
430C2×D4×C41—41no—
431C2×D4×C41—41no—
432C2×D4×C41C2×D414yes—
433C22×C4×C41—22no—
434C22×C4×C41—22no—
435C22×C4×C41—22no—
436C22×C4×C41—22no—
437C22×C4×C41—22no—
438C22×C4×C41—22no—
439C22×C4×C41—22no—
440C22×C4×C41—41no—
441C22×C4×C41—41no—
442C22×C4×C41—41no—
443C22×C4×C41—41no—
444C22×C4×C41—41no—
445C22×C4×C41—41no—
446C22×C4×C41—41no—
447C22×C4×C41—41no—
448C22×C4×C41—41no—
449C22×C4×C41—41no—
450C22×C4×C41—41no—
451C22×C4×C41—41no—
452C22×C4×C41—41no—
453C22×C4×C41—41no—
454C22×C4×C41—41no—
455C22×C4×C41—41no—
456C22×C4×C41—41no—
457C22×C4×C41—41no—
458C22×C4×C41—41no—
459C22×C4×C41—41no—
460C22×C4×C41—41no—
461C22×C4×C41C2×D414yes—
462C22×C4×C41C2×D414yes—
463C22×C4×C41C2411yescharacteristic
464C22×C4×C41C2411yescharacteristic
465C22×C4×C41C2411yescharacteristic
466C22×C4×C41C2411yescharacteristic
467C22×C4×C41C2411yescharacteristic
468C22×C4×C41C2411yescharacteristic
469C22×C4×C41C2411yescharacteristic
470C22×C4×C41C2411yescharacteristic
471C22×C4×C41C2411yescharacteristic
472C22×C4×C41C2411yescharacteristic
473C22×C4×C41C2411yescharacteristic
474C22×C4×C41C2411yescharacteristic
475C22×C4×C41C2411yescharacteristic
476C22×C4×C41C2411yescharacteristic
477C22×C4×C41C2411yescharacteristic
478C22×C4×C41C2411yescharacteristic
479C22×C4×C41C2411yescharacteristic
480C22×C4×C41C2411yescharacteristic
481C22×C4×C41C2411yescharacteristic
482C22×C4×C41C2411yescharacteristic
483C22×C4×C41C2411yescharacteristic
484C22×C4×C41C2411yescharacteristic
485C22×C4×C41C2411yescharacteristic
486C22×C4×C41C2411yescharacteristic
487C22×C4×C41C2411yescharacteristic
488C4⋊C4×C41—22no—
489C4⋊C4×C41—22no—
490C4⋊C4×C41—22no—
491C4⋊C4×C41—22no—
492C4⋊C4×C41—22no—
493C4⋊C4×C41—22no—
494C4⋊C4×C41—22no—
495C4⋊C4×C41—22no—
496C4⋊C4×C41—22no—
497C4⋊C4×C41—22no—
498C4⋊C4×C41—22no—
499C4⋊C4×C41—22no—
500C4⋊C4×C41—22no—
501C4⋊C4×C41—22no—
502C4⋊C4×C41—22no—
503C4⋊C4×C41—22no—
504C4⋊C4×C41—22no—
505C4⋊C4×C41—22no—
506C4⋊C4×C41—22no—
507C4⋊C4×C41—22no—
508C4⋊C4×C41—22no—
509C4⋊C4×C41—22no—
510C4⋊C4×C41—41no—
511C4⋊C4×C41—41no—
512C4⋊C4×C41—41no—
513C4⋊C4×C41—41no—
514C4⋊C4×C41—41no—
515C4⋊C4×C41—41no—
516C4⋊C4×C41—41no—
517C4⋊C4×C41—41no—
518C4⋊C4×C41—41no—
519C4⋊C4×C41—41no—
520C4⋊C4×C41—41no—
521C4⋊C4×C41C2×D414yes—
522C22⋊C4×C41—22no—
523C22⋊C4×C41—22no—
524C22⋊C4×C41—22no—
525C22⋊C4×C41—22no—
526C22⋊C4×C41—22no—
527C22⋊C4×C41—22no—
528C22⋊C4×C41—22no—
529C22⋊C4×C41—22no—
530C22⋊C4×C41—22no—
531C22⋊C4×C41—22no—
532C22⋊C4×C41—22no—
533C22⋊C4×C41—22no—
534C22⋊C4×C41—22no—
535C22⋊C4×C41—22no—
536C22⋊C4×C41—22no—
537C22⋊C4×C41—22no—
538C22⋊C4×C41—22no—
539C22⋊C4×C41—22no—
540C22⋊C4×C41—22no—
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—
551C22⋊C4×C41—41no—
552C22⋊C4×C41—41no—
553C22⋊C4×C41—41no—
554C22⋊C4×C41—41no—
555C22⋊C4×C41—41no—
556C22⋊C4×C41—41no—
557C22⋊C4×C41—41no—
558C22⋊C4×C41—41no—
559C22⋊C4×C41—41no—
560C22⋊C4×C41—41no—
561C22⋊C4×C41—41no—
562C22⋊C4×C41—41no—
563C22⋊C4×C41—41no—
564C22⋊C4×C41—41no—
565C22⋊C4×C41—41no—
566C22⋊C4×C41—41no—
567C22⋊C4×C41—41no—
568C22⋊C4×C41—41no—
569C22⋊C4×C41—41no—
570C22⋊C4×C41C2×D414yes—
571C22⋊C4×C41C2×D414yes—
572C42×C41—22no—
573C42×C41—22no—
574C42×C41—22no—
575C42×C41—22no—
576C42×C41—41no—
577C42×C41—41no—
578C42×C41—41no—
579C42×C41—41no—
580C42×C41C2×D414yes—
581C23×C41—21no—
582C23×C41—21no—
583C23×C41—21no—
584C23×C41—21no—
585C23×C41—21no—
586C23×C41—21no—
587C23×C41—21no—
588C23×C41—21no—
589C23×C41—21no—
590C23×C41—21no—
591C23×C41—21no—
592C23×C41—21no—
593C23×C41—21no—
594C23×C41—21no—
595C23×C41—21no—
596C23×C41—21no—
597C23×C41—21no—
598C23×C41—21no—
599C23×C41—21no—
600C23×C41—21no—
601C23×C41—21no—
602C23×C41—21no—
603C23×C41—21no—
604C23×C41—21no—
605C23×C41—21no—
606C23×C41—21no—
607C23×C41—21no—
608C23×C41—21no—
609C23×C41—21no—
610C23×C41—21no—
611C23×C41—21no—
612C23×C41—21no—
613C23×C41—21no—
614C23×C41—21no—
615C23×C41—21no—
616C23×C41—21no—
617C23×C41—21no—
618C23×C41—21no—
619C23×C41—21no—
620C23×C41—21no—
621C23×C41C22×D412yes—
622C23×C41C22×D412yes—
623C23×C41C2511yescharacteristic
624Q8×C41—82no—
625D4×C41—44no—
626D4×C41—44no—
627D4×C41—44no—
628D4×C41—82no—
629D4×C41—82no—
630D4×C41—82no—
631D4×C41—82no—
632D4×C41—82no—
633D4×C41—82no—
634D4×C41—82no—
635D4×C41—82no—
636D4×C41—82no—
637D4×C41—82no—
638D4×C41—82no—
639D4×C41—82no—
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—21no—
700C2×C4×C41—21no—
701C2×C4×C41—21no—
702C2×C4×C41—21no—
703C2×C4×C41—21no—
704C2×C4×C41—21no—
705C2×C4×C41—21no—
706C2×C4×C41—21no—
707C2×C4×C41—21no—
708C2×C4×C41—21no—
709C2×C4×C41—44no—
710C2×C4×C41—44no—
711C2×C4×C41—44no—
712C2×C4×C41—44no—
713C2×C4×C41—44no—
714C2×C4×C41—44no—
715C2×C4×C41—82no—
716C2×C4×C41—82no—
717C2×C4×C41—82no—
718C2×C4×C41—82no—
719C2×C4×C41C22×D412yes—
720C2×C4×C41C22×D412yes—
721C2×C4×C41C22×D412yes—
722C2×C4×C41C22×D412yes—
723C2×C4×C41C22×D412yes—
724C2×C4×C41H(5,𝔽2)12yes—
725#36746C4111yesmaximal, characteristic, direct product factor, Sylow
726C22×C41—22no—
727C22×C41—22no—
728C22×C41—22no—
729C22×C41—22no—
730C22×C41—22no—
731C22×C41—22no—
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—41no—
753C22×C41—41no—
754C22×C41—41no—
755C22×C41—41no—
756C22×C41—41no—
757C22×C41—41no—
758C22×C41—41no—
759C22×C41—41no—
760C22×C41—41no—
761C22×C41—41no—
762C22×C41—41no—
763C22×C41—41no—
764C22×C41—41no—
765C22×C41—41no—
766C22×C41—41no—
767C22×C41—41no—
768C22×C41C23×D411yescharacteristic
769C22×C41C2×H(5,𝔽2)11yescharacteristic
770C22×C41#58511yescharacteristic
771C22×C41#58511yescharacteristic
772C22×C41#58511yescharacteristic
773C22×C41#58511yescharacteristic
774C22×C41#58511yescharacteristic
775C4×C41—22no—
776C4×C41—22no—
777C4×C41—22no—
778C4×C41—22no—
779C4×C41—22no—
780C4×C41—22no—
781C4×C41—41no—
782C4×C41—41no—
783C4×C41—41no—
784C4×C41—41no—
785C4×C41—41no—
786C4×C41—41no—
787C4×C41—41no—
788C4×C41—41no—
789C4×C41—41no—
790C4×C41—41no—
791C4×C41—41no—
792C4×C41—41no—
793C4×C41—41no—
794C4×C41—41no—
795C4×C41—41no—
796C4×C41—41no—
797C4×C41—41no—
798C4×C41—41no—
799C4×C41—41no—
800C2×#540C2×C4111yescharacteristic, complemented
801C2×#539C2×C4111yescharacteristic, complemented
802#2854C2×C4111yescharacteristic, complemented
803#2850C2×C4111yescharacteristic, complemented
804#2719C2×C4111yescharacteristic, complemented
805#2711C2×C4111yescharacteristic, complemented
806#2709C2×C4111yescharacteristic, complemented
807#2708C2×C4111yescharacteristic, complemented
808#2706C2×C4111yescharacteristic, complemented
809#2703C2×C4111yescharacteristic, complemented
810#2695C2×C4111yescharacteristic, complemented
811#2693C2×C4111yescharacteristic, complemented
812#2691C2×C4111yescharacteristic, complemented
813#2690C2×C4111yescharacteristic, complemented
814#2688C2×C4111yescharacteristic, complemented
815#2687C2×C4111yescharacteristic, complemented
816#2676C2×C4111yescharacteristic, complemented
817#2673C2×C4111yescharacteristic, complemented
818#2672C2×C4111yescharacteristic, complemented
819#2671C2×C4111yescharacteristic, complemented
820#2663C2×C4111yescharacteristic, complemented
821#2661C2×C4111yescharacteristic, complemented
822#2611C2×C4111yescharacteristic, complemented
823#2603C2×C4111yescharacteristic, complemented
824#2602C2×C4111yescharacteristic, complemented
825#2601C2×C4111yescharacteristic, complemented
826#2591C2×C4111yescharacteristic, complemented
827#2562C2×C4111yescharacteristic, complemented
828#2414C2×C4111yescharacteristic, complemented
829#2413C2×C4111yescharacteristic, complemented
830#2290C2×C4111yescharacteristic, complemented
831C2×C41—42no—
832C2×C41—42no—
833C2×C41—81no—
834C2×C41—81no—
835C2×C41—81no—
836C2×C41—81no—
837C2×C41#344911yescharacteristic
838C2×C41#349611yescharacteristic
839C2×C41#350011yescharacteristic
840C2×C41#353311yescharacteristic
841C2×C41#353911yescharacteristic
842C2×C41#356611yescharacteristic
843C2×C41#356711yescharacteristic
844#540—28no—
845#539—28no—
846C2×#127C22×C4111yescharacteristic
847C2×#126C22×C4111yescharacteristic
848C2×#126C22×C4111yescharacteristic
849C2×#125C22×C4111yescharacteristic
850C2×#125C22×C4111yescharacteristic
851C2×#125C22×C4111yescharacteristic
852C2×#124C22×C4111yescharacteristic
853C2×#123C22×C4111yescharacteristic
854C2×#123C22×C4111yescharacteristic
855C2×#123C22×C4111yescharacteristic
856C2×#123C22×C4111yescharacteristic
857C2×#123C22×C4111yescharacteristic
858C2×#123C22×C4111yescharacteristic
859C2×#123C22×C4111yescharacteristic
860C2×#123C22×C4111yescharacteristic
861C2×#123C22×C4111yescharacteristic
862C2×C22⋊Q8C22×C4111yescharacteristic
863C2×C22⋊Q8C22×C4111yescharacteristic
864C2×C22⋊Q8C22×C4111yescharacteristic
865C2×#121C22×C4111yescharacteristic
866C2×#121C22×C4111yescharacteristic
867C2×#121C22×C4111yescharacteristic
868C2×#121C22×C4111yescharacteristic
869C2×#121C22×C4111yescharacteristic
870C2×#121C22×C4111yescharacteristic
871C2×#121C22×C4111yescharacteristic
872C2×#121C22×C4111yescharacteristic
873C2×#121C22×C4111yescharacteristic
874C2×C4×D4C22×C4111yescharacteristic
875C2×C4×D4C22×C4111yescharacteristic
876C2×C4×D4C22×C4111yescharacteristic
877C2×#117C22×C4111yescharacteristic
878C2×#117C22×C4111yescharacteristic
879C22×C4⋊C4C22×C4111yescharacteristic
880C22×C42C22×C4111yescharacteristic
881#400C22×C4111yescharacteristic
882#400C22×C4111yescharacteristic
883#400C22×C4111yescharacteristic
884#400C22×C4111yescharacteristic
885#400C22×C4111yescharacteristic
886#400C22×C4111yescharacteristic
887#399C22×C4111yescharacteristic
888#399C22×C4111yescharacteristic
889#398C22×C4111yescharacteristic
890#398C22×C4111yescharacteristic
891#398C22×C4111yescharacteristic
892#398C22×C4111yescharacteristic
893#398C22×C4111yescharacteristic
894#398C22×C4111yescharacteristic
895#397C22×C4111yescharacteristic
896#397C22×C4111yescharacteristic
897#397C22×C4111yescharacteristic
898#397C22×C4111yescharacteristic
899#397C22×C4111yescharacteristic
900#397C22×C4111yescharacteristic
901#396C22×C4111yescharacteristic
902#396C22×C4111yescharacteristic
903#396C22×C4111yescharacteristic
904#396C22×C4111yescharacteristic
905#395C22×C4111yescharacteristic
906#394C22×C4111yescharacteristic
907#394C22×C4111yescharacteristic
908#394C22×C4111yescharacteristic
909#394C22×C4111yescharacteristic
910#394C22×C4111yescharacteristic
911#394C22×C4111yescharacteristic
912#394C22×C4111yescharacteristic
913#394C22×C4111yescharacteristic
914#394C22×C4111yescharacteristic
915#394C22×C4111yescharacteristic
916#394C22×C4111yescharacteristic
917#394C22×C4111yescharacteristic
918#394C22×C4111yescharacteristic
919#394C22×C4111yescharacteristic
920#394C22×C4111yescharacteristic
921#393C22×C4111yescharacteristic
922#392C22×C4111yescharacteristic
923#392C22×C4111yescharacteristic
924#392C22×C4111yescharacteristic
925#392C22×C4111yescharacteristic
926#392C22×C4111yescharacteristic
927#392C22×C4111yescharacteristic
928#392C22×C4111yescharacteristic
929#391C22×C4111yescharacteristic
930#390C22×C4111yescharacteristic
931#390C22×C4111yescharacteristic
932#390C22×C4111yescharacteristic
933#390C22×C4111yescharacteristic
934#390C22×C4111yescharacteristic
935#390C22×C4111yescharacteristic
936#389C22×C4111yescharacteristic
937#389C22×C4111yescharacteristic
938#389C22×C4111yescharacteristic
939#389C22×C4111yescharacteristic
940#389C22×C4111yescharacteristic
941#388C22×C4111yescharacteristic
942#388C22×C4111yescharacteristic
943#388C22×C4111yescharacteristic
944#388C22×C4111yescharacteristic
945#388C22×C4111yescharacteristic
946#388C22×C4111yescharacteristic
947#388C22×C4111yescharacteristic
948#388C22×C4111yescharacteristic
949#388C22×C4111yescharacteristic
950#388C22×C4111yescharacteristic
951#388C22×C4111yescharacteristic
952#388C22×C4111yescharacteristic
953#388C22×C4111yescharacteristic
954#388C22×C4111yescharacteristic
955#388C22×C4111yescharacteristic
956#388C22×C4111yescharacteristic
957#387C22×C4111yescharacteristic
958#387C22×C4111yescharacteristic
959#387C22×C4111yescharacteristic
960#387C22×C4111yescharacteristic
961#387C22×C4111yescharacteristic
962#387C22×C4111yescharacteristic
963#386C22×C4111yescharacteristic
964#386C22×C4111yescharacteristic
965#386C22×C4111yescharacteristic
966#386C22×C4111yescharacteristic
967#386C22×C4111yescharacteristic
968#386C22×C4111yescharacteristic
969#386C22×C4111yescharacteristic
970#386C22×C4111yescharacteristic
971#386C22×C4111yescharacteristic
972#386C22×C4111yescharacteristic
973#386C22×C4111yescharacteristic
974#386C22×C4111yescharacteristic
975#386C22×C4111yescharacteristic
976#386C22×C4111yescharacteristic
977#386C22×C4111yescharacteristic
978#386C22×C4111yescharacteristic
979#386C22×C4111yescharacteristic
980#385C22×C4111yescharacteristic
981#385C22×C4111yescharacteristic
982#385C22×C4111yescharacteristic
983#385C22×C4111yescharacteristic
984#385C22×C4111yescharacteristic
985#385C22×C4111yescharacteristic
986#385C22×C4111yescharacteristic
987#385C22×C4111yescharacteristic
988#385C22×C4111yescharacteristic
989#382C22×C4111yescharacteristic
990#381C22×C4111yescharacteristic
991#380C22×C4111yescharacteristic
992#380C22×C4111yescharacteristic
993#380C22×C4111yescharacteristic
994#380C22×C4111yescharacteristic
995#380C22×C4111yescharacteristic
996#380C22×C4111yescharacteristic
997C4×C4⋊C4C22×C4111yescharacteristic
998C4×C22⋊C4C22×C4111yescharacteristic
999C4×C22⋊C4C22×C4111yescharacteristic
1000#376C22×C4111yescharacteristic
1001C41#3674611yescharacteristic, direct product factor, Sylow
1002C22×Q8C23×C4111yescharacteristic
1003C22×D4C23×C4111yescharacteristic
1004C22×D4C23×C4111yescharacteristic
1005C22×D4C23×C4111yescharacteristic
1006C22×D4C23×C4111yescharacteristic
1007C22×D4C23×C4111yescharacteristic
1008C22×D4C23×C4111yescharacteristic
1009C22×D4C23×C4111yescharacteristic
1010C22×D4C23×C4111yescharacteristic
1011C22×D4C23×C4111yescharacteristic
1012C22×D4C23×C4111yescharacteristic
1013C22×D4C23×C4111yescharacteristic
1014C22×D4C23×C4111yescharacteristic
1015C22×D4C23×C4111yescharacteristic
1016C22×D4C23×C4111yescharacteristic
1017C22×D4C23×C4111yescharacteristic
1018C23×C4C23×C4111yescharacteristic
1019C23×C4C23×C4111yescharacteristic
1020C23×C4C23×C4111yescharacteristic
1021C23×C4C23×C4111yescharacteristic
1022C23×C4C23×C4111yescharacteristic
1023C23×C4C23×C4111yescharacteristic
1024C23×C4C23×C4111yescharacteristic
1025C23×C4C23×C4111yescharacteristic
1026C23×C4C23×C4111yescharacteristic
1027C23×C4C23×C4111yescharacteristic
1028#127—24no—
1029#126—24no—
1030#126—24no—
1031#125—24no—
1032#125—24no—
1033#125—24no—
1034#124—42no—
1035#123—24no—
1036#123—24no—
1037#123—24no—
1038#123—24no—
1039#123—24no—
1040#123—24no—
1041#123—24no—
1042#123—24no—
1043#123—42no—
1044C22⋊Q8—24no—
1045C22⋊Q8—24no—
1046C22⋊Q8—24no—
1047#121—24no—
1048#121—24no—
1049#121—24no—
1050#121—24no—
1051#121—24no—
1052#121—24no—
1053#121—24no—
1054#121—42no—
1055#121—42no—
1056C4×D4—24no—
1057C4×D4—24no—
1058C4×D4D4×C4118yescomplemented
1059#117—24no—
1060#117—42no—
1061C2×C4⋊C4—24no—
1062C2×C4⋊C4C23×C4111yescharacteristic
1063C2×C4⋊C4C23×C4111yescharacteristic
1064C2×C4⋊C4C23×C4111yescharacteristic
1065C2×C4⋊C4C23×C4111yescharacteristic
1066C2×C4⋊C4C23×C4111yescharacteristic
1067C2×C4⋊C4C23×C4111yescharacteristic
1068C2×C4⋊C4C23×C4111yescharacteristic
1069C2×C4⋊C4C23×C4111yescharacteristic
1070C2×C4⋊C4C23×C4111yescharacteristic
1071C2×C4⋊C4C23×C4111yescharacteristic
1072C2×C4⋊C4C23×C4111yescharacteristic
1073C2×C4⋊C4C23×C4111yescharacteristic
1074C2×C4⋊C4C23×C4111yescharacteristic
1075C2×C4⋊C4C23×C4111yescharacteristic
1076C2×C4⋊C4C23×C4111yescharacteristic
1077C2×C4⋊C4C23×C4111yescharacteristic
1078C2×C4⋊C4C23×C4111yescharacteristic
1079C2×C4⋊C4C23×C4111yescharacteristic
1080C2×C4⋊C4C23×C4111yescharacteristic
1081C2×C4⋊C4C23×C4111yescharacteristic
1082C2×C4⋊C4C23×C4111yescharacteristic
1083C2×C4⋊C4C23×C4111yescharacteristic
1084C2×C4⋊C4C23×C4111yescharacteristic
1085C2×C4⋊C4C23×C4111yescharacteristic
1086C2×C4⋊C4C23×C4111yescharacteristic
1087C2×C4⋊C4C23×C4111yescharacteristic
1088C2×C4⋊C4C23×C4111yescharacteristic
1089C2×C4⋊C4C23×C4111yescharacteristic
1090C2×C4⋊C4C23×C4111yescharacteristic
1091C2×C4⋊C4C23×C4111yescharacteristic
1092C2×C4⋊C4C23×C4111yescharacteristic
1093C2×C4⋊C4C23×C4111yescharacteristic
1094C2×C4⋊C4C23×C4111yescharacteristic
1095C2×C4⋊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×C22⋊C4C23×C4111yescharacteristic
1112C2×C22⋊C4C23×C4111yescharacteristic
1113C2×C22⋊C4C23×C4111yescharacteristic
1114C2×C22⋊C4C23×C4111yescharacteristic
1115C2×C22⋊C4C23×C4111yescharacteristic
1116C2×C22⋊C4C23×C4111yescharacteristic
1117C2×C22⋊C4C23×C4111yescharacteristic
1118C2×C22⋊C4C23×C4111yescharacteristic
1119C2×C22⋊C4C23×C4111yescharacteristic
1120C2×C22⋊C4C23×C4111yescharacteristic
1121C2×C22⋊C4C23×C4111yescharacteristic
1122C2×C22⋊C4C23×C4111yescharacteristic
1123C2×C22⋊C4C23×C4111yescharacteristic
1124C2×C22⋊C4C23×C4111yescharacteristic
1125C2×C22⋊C4C23×C4111yescharacteristic
1126C2×C22⋊C4C23×C4111yescharacteristic
1127C2×C22⋊C4C23×C4111yescharacteristic
1128C2×C22⋊C4C23×C4111yescharacteristic
1129C2×C22⋊C4C23×C4111yescharacteristic
1130C2×C22⋊C4C23×C4111yescharacteristic
1131C2×C22⋊C4C23×C4111yescharacteristic
1132C2×C22⋊C4C23×C4111yescharacteristic
1133C2×C22⋊C4C23×C4111yescharacteristic
1134C2×C22⋊C4C23×C4111yescharacteristic
1135C2×C22⋊C4C23×C4111yescharacteristic
1136C2×C22⋊C4C23×C4111yescharacteristic
1137C2×C22⋊C4C23×C4111yescharacteristic
1138C2×C22⋊C4C23×C4111yescharacteristic
1139C2×C22⋊C4C23×C4111yescharacteristic
1140C2×C22⋊C4C23×C4111yescharacteristic
1141C2×C22⋊C4C23×C4111yescharacteristic
1142C2×C22⋊C4C23×C4111yescharacteristic
1143C2×C22⋊C4C23×C4111yescharacteristic
1144C2×C22⋊C4C23×C4111yescharacteristic
1145C2×C22⋊C4C23×C4111yescharacteristic
1146C2×C42—42no—
1147C2×C42C23×C4111yescharacteristic
1148C2×C42C23×C4111yescharacteristic
1149C2×C42C23×C4111yescharacteristic
1150C2×C42C23×C4111yescharacteristic
1151C2×C42C23×C4111yescharacteristic
1152C2×C42C23×C4111yescharacteristic
1153C2×C42C23×C4111yescharacteristic
1154C2×C42C23×C4111yescharacteristic
1155C2×C42C23×C4111yescharacteristic
1156#95C23×C4111yescharacteristic
1157#95C23×C4111yescharacteristic
1158#95C23×C4111yescharacteristic
1159#95C23×C4111yescharacteristic
1160#95C23×C4111yescharacteristic
1161#95C23×C4111yescharacteristic
1162#95C23×C4111yescharacteristic
1163#95C23×C4111yescharacteristic
1164#95C23×C4111yescharacteristic
1165#95C23×C4111yescharacteristic
1166#95C23×C4111yescharacteristic
1167#95C23×C4111yescharacteristic
1168#95C23×C4111yescharacteristic
1169#95C23×C4111yescharacteristic
1170#95C23×C4111yescharacteristic
1171#95C23×C4111yescharacteristic
1172#95C23×C4111yescharacteristic
1173#95C23×C4111yescharacteristic
1174#95C23×C4111yescharacteristic
1175#95C23×C4111yescharacteristic
1176#95C23×C4111yescharacteristic
1177#95C23×C4111yescharacteristic
1178#95C23×C4111yescharacteristic
1179#95C23×C4111yescharacteristic
1180#95C23×C4111yescharacteristic
1181#95C23×C4111yescharacteristic
1182#95C23×C4111yescharacteristic
1183#95C23×C4111yescharacteristic
1184#95C23×C4111yescharacteristic
1185#95C23×C4111yescharacteristic
1186#95C23×C4111yescharacteristic
1187#95C23×C4111yescharacteristic
1188#95C23×C4111yescharacteristic
1189#95C23×C4111yescharacteristic
1190#95C23×C4111yescharacteristic
1191#95C23×C4111yescharacteristic
1192C24C24×C4111yescharacteristic
1193C24C24×C4111yescharacteristic
1194C24C24×C4111yescharacteristic
1195C24C24×C4111yescharacteristic
1196C24C24×C4111yescharacteristic
1197C24C24×C4111yescharacteristic
1198C2×Q8—22no—
1199C2×Q8—41no—
1200C2×Q8—41no—
1201C2×D4—22no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—22no—
1210C2×D4—22no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—41no—
1214C2×D4—41no—
1215C2×D4—41no—
1216C2×D4—41no—
1217C2×D4—41no—
1218C2×D4—41no—
1219C2×D4—41no—
1220C2×D4—41no—
1221C2×D4—41no—
1222C2×D4—41no—
1223C2×D4—41no—
1224C2×D4—41no—
1225C2×D4—41no—
1226C2×D4—41no—
1227C2×D4—41no—
1228C2×D4—41no—
1229C2×D4—41no—
1230C2×D4—41no—
1231C2×D4—41no—
1232C2×D4—41no—
1233C2×D4—41no—
1234C2×D4—41no—
1235C2×D4—41no—
1236C2×D4—41no—
1237C2×D4—41no—
1238C2×D4—41no—
1239C2×D4—41no—
1240C2×D4—41no—
1241C2×D4—41no—
1242C2×D4—41no—
1243C2×D4—41no—
1244C2×D4—41no—
1245C2×D4C2×D4×C4114yes—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—22no—
1253C22×C4—41no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—41no—
1257C22×C4—41no—
1258C22×C4—41no—
1259C22×C4—41no—
1260C22×C4—41no—
1261C22×C4—41no—
1262C22×C4—41no—
1263C22×C4—41no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—41no—
1269C22×C4—41no—
1270C22×C4—41no—
1271C22×C4—41no—
1272C22×C4—41no—
1273C22×C4—41no—
1274C22×C4C2×D4×C4114yes—
1275C22×C4C2×D4×C4114yes—
1276C22×C4C24×C4111yescharacteristic
1277C22×C4C24×C4111yescharacteristic
1278C22×C4C24×C4111yescharacteristic
1279C22×C4C24×C4111yescharacteristic
1280C22×C4C24×C4111yescharacteristic
1281C22×C4C24×C4111yescharacteristic
1282C22×C4C24×C4111yescharacteristic
1283C22×C4C24×C4111yescharacteristic
1284C22×C4C24×C4111yescharacteristic
1285C22×C4C24×C4111yescharacteristic
1286C22×C4C24×C4111yescharacteristic
1287C22×C4C24×C4111yescharacteristic
1288C22×C4C24×C4111yescharacteristic
1289C22×C4C24×C4111yescharacteristic
1290C22×C4C24×C4111yescharacteristic
1291C22×C4C24×C4111yescharacteristic
1292C22×C4C24×C4111yescharacteristic
1293C22×C4C24×C4111yescharacteristic
1294C22×C4C24×C4111yescharacteristic
1295C22×C4C24×C4111yescharacteristic
1296C22×C4C24×C4111yescharacteristic
1297C22×C4C24×C4111yescharacteristic
1298C22×C4C24×C4111yescharacteristic
1299C22×C4C24×C4111yescharacteristic
1300C22×C4C24×C4111yescharacteristic
1301C4⋊C4—22no—
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—22no—
1315C4⋊C4—22no—
1316C4⋊C4—22no—
1317C4⋊C4—22no—
1318C4⋊C4—22no—
1319C4⋊C4—22no—
1320C4⋊C4—22no—
1321C4⋊C4—22no—
1322C4⋊C4—22no—
1323C4⋊C4—41no—
1324C4⋊C4—41no—
1325C4⋊C4—41no—
1326C4⋊C4—41no—
1327C4⋊C4—41no—
1328C4⋊C4—41no—
1329C4⋊C4—41no—
1330C4⋊C4—41no—
1331C4⋊C4—41no—
1332C4⋊C4—41no—
1333C4⋊C4—41no—
1334C4⋊C4C2×D4×C4114yes—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—22no—
1340C22⋊C4—22no—
1341C22⋊C4—22no—
1342C22⋊C4—22no—
1343C22⋊C4—22no—
1344C22⋊C4—22no—
1345C22⋊C4—22no—
1346C22⋊C4—22no—
1347C22⋊C4—22no—
1348C22⋊C4—22no—
1349C22⋊C4—22no—
1350C22⋊C4—22no—
1351C22⋊C4—22no—
1352C22⋊C4—22no—
1353C22⋊C4—22no—
1354C22⋊C4—41no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
1363C22⋊C4—41no—
1364C22⋊C4—41no—
1365C22⋊C4—41no—
1366C22⋊C4—41no—
1367C22⋊C4—41no—
1368C22⋊C4—41no—
1369C22⋊C4—41no—
1370C22⋊C4—41no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4—41no—
1374C22⋊C4—41no—
1375C22⋊C4—41no—
1376C22⋊C4—41no—
1377C22⋊C4—41no—
1378C22⋊C4—41no—
1379C22⋊C4—41no—
1380C22⋊C4—41no—
1381C22⋊C4—41no—
1382C22⋊C4—41no—
1383C22⋊C4C2×D4×C4114yes—
1384C22⋊C4C2×D4×C4114yes—
1385C42—22no—
1386C42—22no—
1387C42—22no—
1388C42—22no—
1389C42—41no—
1390C42—41no—
1391C42—41no—
1392C42—41no—
1393C42C2×D4×C4114yes—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23C22×D4×C4112yes—
1435C23C22×D4×C4112yes—
1436C23C25×C4111yescharacteristic
1437Q8—82no—
1438D4—44no—
1439D4—44no—
1440D4—44no—
1441D4—82no—
1442D4—82no—
1443D4—82no—
1444D4—82no—
1445D4—82no—
1446D4—82no—
1447D4—82no—
1448D4—82no—
1449D4—82no—
1450D4—82no—
1451D4—82no—
1452D4—82no—
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—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—44no—
1523C2×C4—44no—
1524C2×C4—44no—
1525C2×C4—44no—
1526C2×C4—44no—
1527C2×C4—44no—
1528C2×C4—82no—
1529C2×C4—82no—
1530C2×C4—82no—
1531C2×C4—82no—
1532C2×C4C22×D4×C4112yes—
1533C2×C4C22×D4×C4112yes—
1534C2×C4C22×D4×C4112yes—
1535C2×C4C22×D4×C4112yes—
1536C2×C4C22×D4×C4112yes—
1537C2×C4H(5,𝔽2)×C4112yes—
1538C22—22no—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22—41no—
1577C22—41no—
1578C22—41no—
1579C22—41no—
1580C22C23×D4×C4111yescharacteristic
1581C22C2×H(5,𝔽2)×C4111yescharacteristic
1582C22C41×#58511yescharacteristic
1583C22C41×#58511yescharacteristic
1584C22C41×#58511yescharacteristic
1585C22C41×#58511yescharacteristic
1586C22C41×#58511yescharacteristic
1587C4—22no—
1588C4—22no—
1589C4—22no—
1590C4—22no—
1591C4—22no—
1592C4—22no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—41no—
1611C4—41no—
1612C2—42no—
1613C2—42no—
1614C2—81no—
1615C2—81no—
1616C2—81no—
1617C2—81no—
1618C2C41×#344911yescharacteristic
1619C2C41×#349611yescharacteristic
1620C2C41×#350011yescharacteristic
1621C2C41×#353311yescharacteristic
1622C2C41×#353911yescharacteristic
1623C2C41×#356611yescharacteristic
1624C2C41×#356711yescharacteristic
subgroupG/H
center, socleC23×C41C25
commutator, Frattini, cosocleC23C25×C41
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C41 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C41×#540C2semidirect
2. C2×C41×#539C2semidirect
3. C41×#2854C2semidirect
4. C41×#2850C2semidirect
5. C41×#2719C2semidirect
6. C41×#2711C2semidirect
7. C41×#2709C2semidirect
8. C41×#2708C2semidirect
9. C41×#2706C2semidirect
10. C41×#2703C2semidirect
11. C41×#2695C2semidirect
12. C41×#2693C2semidirect
13. C41×#2691C2semidirect
14. C41×#2690C2semidirect
15. C41×#2688C2semidirect
16. C41×#2687C2semidirect
17. C41×#2676C2semidirect
18. C41×#2673C2semidirect
19. C41×#2672C2semidirect
20. C41×#2671C2semidirect
21. C41×#2663C2semidirect
22. C41×#2661C2semidirect
23. C41×#2611C2semidirect
24. C41×#2603C2semidirect
25. C41×#2602C2semidirect
26. C41×#2601C2semidirect
27. C41×#2591C2semidirect
28. C41×#2562C2semidirect
29. C41×#2414C2semidirect
30. C41×#2413C2semidirect
31. C41×#2290C2semidirect
245. C4×D4×C41D4semidirect
725. #36746C41direct (N × H)
800. C2×#540C2×C41semidirect
801. C2×#539C2×C41semidirect
802. #2854C2×C41semidirect
803. #2850C2×C41semidirect
804. #2719C2×C41semidirect
805. #2711C2×C41semidirect
806. #2709C2×C41semidirect
807. #2708C2×C41semidirect
808. #2706C2×C41semidirect
809. #2703C2×C41semidirect
810. #2695C2×C41semidirect
811. #2693C2×C41semidirect
812. #2691C2×C41semidirect
813. #2690C2×C41semidirect
814. #2688C2×C41semidirect
815. #2687C2×C41semidirect
816. #2676C2×C41semidirect
817. #2673C2×C41semidirect
818. #2672C2×C41semidirect
819. #2671C2×C41semidirect
820. #2663C2×C41semidirect
821. #2661C2×C41semidirect
822. #2611C2×C41semidirect
823. #2603C2×C41semidirect
824. #2602C2×C41semidirect
825. #2601C2×C41semidirect
826. #2591C2×C41semidirect
827. #2562C2×C41semidirect
828. #2414C2×C41semidirect
829. #2413C2×C41semidirect
830. #2290C2×C41semidirect
1001. C41#36746direct (N × H)
1058. C4×D4D4×C41semidirect

Maximal subgroups

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

subgroupindex
C2×C41×#5402
C2×C41×#5392
C41×#28542
C41×#28502
C41×#27192
C41×#27112
C41×#27092
C41×#27082
C41×#27062
C41×#27032
C41×#26952
C41×#26932
C41×#26912
C41×#26902
C41×#26882
C41×#26872
C41×#26762
C41×#26732
C41×#26722
C41×#26712
C41×#26632
C41×#26612
C41×#26112
C41×#26032
C41×#26022
C41×#26012
C41×#25912
C41×#25622
C41×#24142
C41×#24132
C41×#22902
#3674641