Finite Group Databasebeta

← C43×#36823 #24956840

Subgroups — C43×#36823 #24956840

Order 11008.

1830 conjugacy classes of subgroups.

The subgroup lattice has 1480 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C43×#2852C211yesmaximal, characteristic, complemented
2C43×#2850C211yesmaximal, characteristic, complemented
3C43×#2806C211yesmaximal, characteristic, complemented
4C43×#2803C211yesmaximal, characteristic, complemented
5C43×#2800C211yesmaximal, characteristic, complemented
6C43×#2788C211yesmaximal, characteristic, complemented
7C43×#2788C211yesmaximal, characteristic, complemented
8C43×#2780C211yesmaximal, characteristic, complemented
9C43×#2779C211yesmaximal, characteristic, complemented
10C43×#2775C211yesmaximal, characteristic, complemented
11C43×#2774C211yesmaximal, characteristic, complemented
12C43×#2770C211yesmaximal, characteristic, complemented
13C43×#2768C211yesmaximal, characteristic, complemented
14C43×#2768C211yesmaximal, characteristic, complemented
15C43×#2727C211yesmaximal, characteristic, complemented
16C43×#2715C211yesmaximal, characteristic, complemented
17C43×#2710C211yesmaximal, characteristic, complemented
18C43×#2695C211yesmaximal, characteristic, complemented
19C43×#2623C211yesmaximal, characteristic, complemented
20C43×#2618C211yesmaximal, characteristic, complemented
21C43×#2488C211yesmaximal, characteristic, complemented
22C43×#2481C211yesmaximal, characteristic, complemented
23C43×#2443C211yesmaximal, characteristic, complemented
24C43×#2438C211yesmaximal, characteristic, complemented
25C43×#2430C211yesmaximal, characteristic
26C43×#2425C211yesmaximal, characteristic, complemented
27C43×#2413C211yesmaximal, characteristic, complemented
28C43×#2406C211yesmaximal, characteristic, complemented
29C43×#2322C211yesmaximal, characteristic, complemented
30C43×#2311C211yesmaximal, characteristic, complemented
31C2×C43×#389C211yesmaximal, characteristic, complemented
32C22×#41×C43C2211yescharacteristic
33C2×#126×C43C2211yescharacteristic
34C2×#126×C43C2211yescharacteristic
35C2×#124×C43C2211yescharacteristic
36C2×#123×C43C2211yescharacteristic
37C2×#123×C43C2211yescharacteristic
38C2×#123×C43C2211yescharacteristic
39C2×#123×C43C2211yescharacteristic
40C2×#123×C43C2211yescharacteristic
41C2×C22⋊Q8×C43C2211yescharacteristic
42C2×#121×C43C2211yescharacteristic
43C2×#121×C43C2211yescharacteristic
44C2×C4×D4×C43C2211yescharacteristic
45C2×#117×C43C2211yescharacteristic
46C22×C4⋊C4×C43C2211yescharacteristic
47C22×C4⋊C4×C43C2211yescharacteristic
48C22×C4⋊C4×C43C2211yescharacteristic
49C22×C4⋊C4×C43C2211yescharacteristic
50C22×C42×C43C2211yescharacteristic
51C43×#400C2211yescharacteristic
52C43×#400C2211yescharacteristic
53C43×#400C2211yescharacteristic
54C43×#400C2211yescharacteristic
55C43×#400C2211yescharacteristic
56C43×#400C2211yescharacteristic
57C43×#400C2211yescharacteristic
58C43×#399C2211yescharacteristic
59C43×#399C2211yescharacteristic
60C43×#399C2211yescharacteristic
61C43×#398C2211yescharacteristic
62C43×#398C2211yescharacteristic
63C43×#398C2211yescharacteristic
64C43×#398C2211yescharacteristic
65C43×#398C2211yescharacteristic
66C43×#398C2211yescharacteristic
67C43×#398C2211yescharacteristic
68C43×#398C2211yescharacteristic
69C43×#398C2211yescharacteristic
70C43×#398C2211yescharacteristic
71C43×#397C2211yescharacteristic
72C43×#397C2211yescharacteristic
73C43×#397C2211yescharacteristic
74C43×#397C2211yescharacteristic
75C43×#397C2211yescharacteristic
76C43×#397C2211yescharacteristic
77C43×#396C2211yescharacteristic
78C43×#396C2211yescharacteristic
79C43×#396C2211yescharacteristic
80C43×#396C2211yescharacteristic
81C43×#396C2211yescharacteristic
82C43×#396C2211yescharacteristic
83C43×#396C2211yescharacteristic
84C43×#396C2211yescharacteristic
85C43×#395C2211yescharacteristic
86C43×#395C2211yescharacteristic
87C43×#395C2211yescharacteristic
88C43×#395C2211yescharacteristic
89C43×#394C2211yescharacteristic
90C43×#394C2211yescharacteristic
91C43×#394C2211yescharacteristic
92C43×#394C2211yescharacteristic
93C43×#394C2211yescharacteristic
94C43×#394C2211yescharacteristic
95C43×#394C2211yescharacteristic
96C43×#393C2211yescharacteristic
97C43×#393C2211yescharacteristic
98C43×#392C2211yescharacteristic
99C43×#391C2211yescharacteristic
100C43×#391C2211yescharacteristic
101C43×#391C2211yescharacteristic
102C43×#391C2211yescharacteristic
103C43×#391C2211yescharacteristic
104C43×#390C2211yescharacteristic
105C43×#390C2211yescharacteristic
106C43×#390C2211yescharacteristic
107C43×#389C2211yescharacteristic
108C43×#389C2211yescharacteristic
109C43×#389C2211yescharacteristic
110C43×#389C2211yescharacteristic
111C43×#389C2211yescharacteristic
112C43×#389C2211yescharacteristic
113C43×#389C2211yescharacteristic
114C43×#389C2211yescharacteristic
115C43×#389C2211yescharacteristic
116C43×#389C2211yescharacteristic
117C43×#389C2211yescharacteristic
118C43×#389C2211yescharacteristic
119C43×#389C2211yescharacteristic
120C43×#389C2211yescharacteristic
121C43×#388C2211yescharacteristic
122C43×#388C2211yescharacteristic
123C43×#388C2211yescharacteristic
124C43×#388C2211yescharacteristic
125C43×#388C2211yescharacteristic
126C43×#388C2211yescharacteristic
127C43×#388C2211yescharacteristic
128C43×#388C2211yescharacteristic
129C43×#388C2211yescharacteristic
130C43×#388C2211yescharacteristic
131C43×#388C2211yescharacteristic
132C43×#388C2211yescharacteristic
133C43×#388C2211yescharacteristic
134C43×#388C2211yescharacteristic
135C43×#388C2211yescharacteristic
136C43×#388C2211yescharacteristic
137C43×#387C2211yescharacteristic
138C43×#387C2211yescharacteristic
139C43×#387C2211yescharacteristic
140C43×#387C2211yescharacteristic
141C43×#387C2211yescharacteristic
142C43×#387C2211yescharacteristic
143C43×#387C2211yescharacteristic
144C43×#387C2211yescharacteristic
145C43×#387C2211yescharacteristic
146C43×#387C2211yescharacteristic
147C43×#386C2211yescharacteristic
148C43×#386C2211yescharacteristic
149C43×#386C2211yescharacteristic
150C43×#386C2211yescharacteristic
151C43×#386C2211yescharacteristic
152C43×#386C2211yescharacteristic
153C43×#386C2211yescharacteristic
154C43×#386C2211yescharacteristic
155C43×#386C2211yescharacteristic
156C43×#386C2211yescharacteristic
157C43×#386C2211yescharacteristic
158C43×#386C2211yescharacteristic
159C43×#386C2211yescharacteristic
160C43×#385C2211yescharacteristic
161C43×#385C2211yescharacteristic
162C43×#385C2211yescharacteristic
163C43×#385C2211yescharacteristic
164C43×#385C2211yescharacteristic
165C43×#385C2211yescharacteristic
166C43×#385C2211yescharacteristic
167C43×#385C2211yescharacteristic
168C43×#385C2211yescharacteristic
169C43×#385C2211yescharacteristic
170C43×#385C2211yescharacteristic
171C43×#385C2211yescharacteristic
172C43×#385C2211yescharacteristic
173C43×#383C2211yescharacteristic
174C43×#382C2211yescharacteristic
175C43×#382C2211yescharacteristic
176C43×#381C2211yescharacteristic
177C43×#381C2211yescharacteristic
178C43×#380C2211yescharacteristic
179C43×#380C2211yescharacteristic
180C43×#380C2211yescharacteristic
181C43×#380C2211yescharacteristic
182C43×#380C2211yescharacteristic
183C43×#380C2211yescharacteristic
184C4×C22⋊C4×C43C2211yescharacteristic
185C2×#95×C43C2211yescharacteristic
186C2×#95×C43C2211yescharacteristic
187C2×#41×C43—24no—
188C2×#41×C43—42no—
189C2×#41×C43—42no—
190C22×Q8×C43C2311yescharacteristic
191C22×Q8×C43C2311yescharacteristic
192C22×D4×C43C2311yescharacteristic
193C22×D4×C43C2311yescharacteristic
194C22×D4×C43C2311yescharacteristic
195C22×D4×C43C2311yescharacteristic
196C22×D4×C43C2311yescharacteristic
197C22×D4×C43C2311yescharacteristic
198C23×C4×C43C2311yescharacteristic
199C23×C4×C43C2311yescharacteristic
200C23×C4×C43C2311yescharacteristic
201C23×C4×C43C2311yescharacteristic
202C23×C4×C43C2311yescharacteristic
203C23×C4×C43C2311yescharacteristic
204C23×C4×C43C2311yescharacteristic
205C23×C4×C43C2311yescharacteristic
206C23×C4×C43C2311yescharacteristic
207C23×C4×C43C2311yescharacteristic
208#126×C43—42no—
209#126×C43—42no—
210#124×C43—42no—
211#123×C43—24no—
212#123×C43—42no—
213#123×C43—42no—
214#123×C43—42no—
215#123×C43—42no—
216C22⋊Q8×C43—42no—
217#121×C43—42no—
218#121×C43—42no—
219C4×D4×C43—42no—
220#117×C43—42no—
221C2×C4⋊C4×C43—24no—
222C2×C4⋊C4×C43—42no—
223C2×C4⋊C4×C43—42no—
224C2×C4⋊C4×C43—42no—
225C2×C4⋊C4×C43C2311yescharacteristic
226C2×C4⋊C4×C43C2311yescharacteristic
227C2×C4⋊C4×C43C2311yescharacteristic
228C2×C4⋊C4×C43C2311yescharacteristic
229C2×C4⋊C4×C43C2311yescharacteristic
230C2×C4⋊C4×C43C2311yescharacteristic
231C2×C4⋊C4×C43C2311yescharacteristic
232C2×C4⋊C4×C43C2311yescharacteristic
233C2×C4⋊C4×C43C2311yescharacteristic
234C2×C4⋊C4×C43C2311yescharacteristic
235C2×C4⋊C4×C43C2311yescharacteristic
236C2×C4⋊C4×C43C2311yescharacteristic
237C2×C4⋊C4×C43C2311yescharacteristic
238C2×C4⋊C4×C43C2311yescharacteristic
239C2×C4⋊C4×C43C2311yescharacteristic
240C2×C4⋊C4×C43C2311yescharacteristic
241C2×C4⋊C4×C43C2311yescharacteristic
242C2×C4⋊C4×C43C2311yescharacteristic
243C2×C4⋊C4×C43C2311yescharacteristic
244C2×C4⋊C4×C43C2311yescharacteristic
245C2×C4⋊C4×C43C2311yescharacteristic
246C2×C4⋊C4×C43C2311yescharacteristic
247C2×C4⋊C4×C43C2311yescharacteristic
248C2×C4⋊C4×C43C2311yescharacteristic
249C2×C4⋊C4×C43C2311yescharacteristic
250C2×C4⋊C4×C43C2311yescharacteristic
251C2×C4⋊C4×C43C2311yescharacteristic
252C2×C4⋊C4×C43C2311yescharacteristic
253C2×C4⋊C4×C43C2311yescharacteristic
254C2×C4⋊C4×C43C2311yescharacteristic
255C2×C4⋊C4×C43C2311yescharacteristic
256C2×C4⋊C4×C43C2311yescharacteristic
257C2×C4⋊C4×C43C2311yescharacteristic
258C2×C4⋊C4×C43C2311yescharacteristic
259C2×C4⋊C4×C43C2311yescharacteristic
260C2×C4⋊C4×C43C2311yescharacteristic
261C2×C4⋊C4×C43C2311yescharacteristic
262C2×C4⋊C4×C43C2311yescharacteristic
263C2×C4⋊C4×C43C2311yescharacteristic
264C2×C4⋊C4×C43C2311yescharacteristic
265C2×C4⋊C4×C43C2311yescharacteristic
266C2×C4⋊C4×C43C2311yescharacteristic
267C2×C22⋊C4×C43C2311yescharacteristic
268C2×C22⋊C4×C43C2311yescharacteristic
269C2×C22⋊C4×C43C2311yescharacteristic
270C2×C22⋊C4×C43C2311yescharacteristic
271C2×C22⋊C4×C43C2311yescharacteristic
272C2×C22⋊C4×C43C2311yescharacteristic
273C2×C22⋊C4×C43C2311yescharacteristic
274C2×C22⋊C4×C43C2311yescharacteristic
275C2×C22⋊C4×C43C2311yescharacteristic
276C2×C22⋊C4×C43C2311yescharacteristic
277C2×C22⋊C4×C43C2311yescharacteristic
278C2×C22⋊C4×C43C2311yescharacteristic
279C2×C22⋊C4×C43C2311yescharacteristic
280C2×C22⋊C4×C43C2311yescharacteristic
281C2×C22⋊C4×C43C2311yescharacteristic
282C2×C22⋊C4×C43C2311yescharacteristic
283C2×C22⋊C4×C43C2311yescharacteristic
284C2×C22⋊C4×C43C2311yescharacteristic
285C2×C22⋊C4×C43C2311yescharacteristic
286C2×C22⋊C4×C43C2311yescharacteristic
287C2×C22⋊C4×C43C2311yescharacteristic
288C2×C22⋊C4×C43C2311yescharacteristic
289C2×C22⋊C4×C43C2311yescharacteristic
290C2×C22⋊C4×C43C2311yescharacteristic
291C2×C22⋊C4×C43C2311yescharacteristic
292C2×C22⋊C4×C43C2311yescharacteristic
293C2×C22⋊C4×C43C2311yescharacteristic
294C2×C22⋊C4×C43C2311yescharacteristic
295C2×C22⋊C4×C43C2311yescharacteristic
296C2×C22⋊C4×C43C2311yescharacteristic
297C2×C22⋊C4×C43C2311yescharacteristic
298C2×C22⋊C4×C43C2311yescharacteristic
299C2×C22⋊C4×C43C2311yescharacteristic
300C2×C22⋊C4×C43C2311yescharacteristic
301C2×C22⋊C4×C43C2311yescharacteristic
302C2×C22⋊C4×C43C2311yescharacteristic
303C2×C22⋊C4×C43C2311yescharacteristic
304C2×C22⋊C4×C43C2311yescharacteristic
305C2×C42×C43—42no—
306C2×C42×C43C2311yescharacteristic
307C2×C42×C43C2311yescharacteristic
308C2×C42×C43C2311yescharacteristic
309C2×C42×C43C2311yescharacteristic
310C2×C42×C43C2311yescharacteristic
311C2×C42×C43C2311yescharacteristic
312C2×C42×C43C2311yescharacteristic
313C2×C42×C43C2311yescharacteristic
314C2×C42×C43C2311yescharacteristic
315#95×C43C2311yescharacteristic
316#95×C43C2311yescharacteristic
317#95×C43C2311yescharacteristic
318#95×C43C2311yescharacteristic
319#95×C43C2311yescharacteristic
320#95×C43C2311yescharacteristic
321#95×C43C2311yescharacteristic
322#95×C43C2311yescharacteristic
323#95×C43C2311yescharacteristic
324#95×C43C2311yescharacteristic
325#95×C43C2311yescharacteristic
326#95×C43C2311yescharacteristic
327#95×C43C2311yescharacteristic
328#95×C43C2311yescharacteristic
329#95×C43C2311yescharacteristic
330#95×C43C2311yescharacteristic
331#95×C43C2311yescharacteristic
332#95×C43C2311yescharacteristic
333#95×C43C2311yescharacteristic
334#95×C43C2311yescharacteristic
335#95×C43C2311yescharacteristic
336#95×C43C2311yescharacteristic
337#95×C43C2311yescharacteristic
338#95×C43C2311yescharacteristic
339#95×C43C2311yescharacteristic
340#95×C43C2311yescharacteristic
341#95×C43C2311yescharacteristic
342#95×C43C2311yescharacteristic
343#95×C43C2311yescharacteristic
344#95×C43C2311yescharacteristic
345#95×C43C2311yescharacteristic
346#95×C43C2311yescharacteristic
347#95×C43C2311yescharacteristic
348#95×C43C2311yescharacteristic
349#95×C43C2311yescharacteristic
350#95×C43C2311yescharacteristic
351#95×C43C2311yescharacteristic
352#95×C43C2311yescharacteristic
353#95×C43C2311yescharacteristic
354#95×C43C2311yescharacteristic
355#95×C43C2311yescharacteristic
356#95×C43C2311yescharacteristic
357#95×C43C2311yescharacteristic
358#95×C43C2311yescharacteristic
359#95×C43C2311yescharacteristic
360#95×C43C2311yescharacteristic
361#95×C43C2311yescharacteristic
362#95×C43C2311yescharacteristic
363C24×C43C2411yescharacteristic
364C24×C43C2411yescharacteristic
365C24×C43C2411yescharacteristic
366C24×C43C2411yescharacteristic
367#41×C43—416no—
368C2×Q8×C43—22no—
369C2×Q8×C43—22no—
370C2×Q8×C43—41no—
371C2×Q8×C43—41no—
372C2×Q8×C43—41no—
373C2×Q8×C43—41no—
374C2×D4×C43—22no—
375C2×D4×C43—22no—
376C2×D4×C43—22no—
377C2×D4×C43—22no—
378C2×D4×C43—22no—
379C2×D4×C43—22no—
380C2×D4×C43—22no—
381C2×D4×C43—22no—
382C2×D4×C43—22no—
383C2×D4×C43—22no—
384C2×D4×C43—22no—
385C2×D4×C43—41no—
386C2×D4×C43—41no—
387C2×D4×C43—41no—
388C2×D4×C43—41no—
389C2×D4×C43—41no—
390C2×D4×C43—41no—
391C2×D4×C43—41no—
392C22×C4×C43—22no—
393C22×C4×C43—22no—
394C22×C4×C43—22no—
395C22×C4×C43—22no—
396C22×C4×C43—22no—
397C22×C4×C43—22no—
398C22×C4×C43—22no—
399C22×C4×C43—22no—
400C22×C4×C43—22no—
401C22×C4×C43—22no—
402C22×C4×C43—22no—
403C22×C4×C43—22no—
404C22×C4×C43—22no—
405C22×C4×C43—22no—
406C22×C4×C43—22no—
407C22×C4×C43—41no—
408C22×C4×C43—41no—
409C22×C4×C43—41no—
410C22×C4×C43—41no—
411C22×C4×C43—41no—
412C22×C4×C43—41no—
413C22×C4×C43—41no—
414C22×C4×C43—41no—
415C22×C4×C43—41no—
416C22×C4×C43—41no—
417C22×C4×C43—41no—
418C22×C4×C43—41no—
419C22×C4×C43—41no—
420C22×C4×C43—41no—
421C22×C4×C43#4114yes—
422C22×C4×C43C2411yescharacteristic
423C22×C4×C43C2411yescharacteristic
424C22×C4×C43C2411yescharacteristic
425C22×C4×C43C2411yescharacteristic
426C22×C4×C43C2411yescharacteristic
427C22×C4×C43C2411yescharacteristic
428C22×C4×C43C2411yescharacteristic
429C22×C4×C43C2411yescharacteristic
430C22×C4×C43C2411yescharacteristic
431C22×C4×C43C2411yescharacteristic
432C22×C4×C43C2411yescharacteristic
433C22×C4×C43C2411yescharacteristic
434C22×C4×C43C2411yescharacteristic
435C22×C4×C43C2411yescharacteristic
436C22×C4×C43C2411yescharacteristic
437C22×C4×C43C2411yescharacteristic
438C22×C4×C43C2411yescharacteristic
439C22×C4×C43C2411yescharacteristic
440C22×C4×C43C2411yescharacteristic
441C22×C4×C43C2411yescharacteristic
442C22×C4×C43C2411yescharacteristic
443C22×C4×C43C2411yescharacteristic
444C22×C4×C43C2411yescharacteristic
445C22×C4×C43C2411yescharacteristic
446C22×C4×C43C2411yescharacteristic
447C22×C4×C43C2411yescharacteristic
448C22×C4×C43C2411yescharacteristic
449C4⋊C4×C43—22no—
450C4⋊C4×C43—22no—
451C4⋊C4×C43—22no—
452C4⋊C4×C43—22no—
453C4⋊C4×C43—22no—
454C4⋊C4×C43—22no—
455C4⋊C4×C43—22no—
456C4⋊C4×C43—22no—
457C4⋊C4×C43—22no—
458C4⋊C4×C43—22no—
459C4⋊C4×C43—22no—
460C4⋊C4×C43—41no—
461C4⋊C4×C43—41no—
462C4⋊C4×C43—41no—
463C4⋊C4×C43—41no—
464C4⋊C4×C43—41no—
465C4⋊C4×C43—41no—
466C4⋊C4×C43—41no—
467C4⋊C4×C43—41no—
468C4⋊C4×C43—41no—
469C4⋊C4×C43—41no—
470C4⋊C4×C43—41no—
471C4⋊C4×C43—41no—
472C4⋊C4×C43—41no—
473C4⋊C4×C43—41no—
474C4⋊C4×C43—41no—
475C4⋊C4×C43—41no—
476C4⋊C4×C43—41no—
477C4⋊C4×C43—41no—
478C4⋊C4×C43—41no—
479C4⋊C4×C43—41no—
480C4⋊C4×C43—41no—
481C4⋊C4×C43—41no—
482C4⋊C4×C43—41no—
483C4⋊C4×C43—41no—
484C4⋊C4×C43—41no—
485C4⋊C4×C43—41no—
486C4⋊C4×C43—41no—
487C4⋊C4×C43—41no—
488C4⋊C4×C43—41no—
489C4⋊C4×C43—41no—
490C4⋊C4×C43—41no—
491C22⋊C4×C43—22no—
492C22⋊C4×C43—22no—
493C22⋊C4×C43—22no—
494C22⋊C4×C43—22no—
495C22⋊C4×C43—22no—
496C22⋊C4×C43—22no—
497C22⋊C4×C43—22no—
498C22⋊C4×C43—22no—
499C22⋊C4×C43—22no—
500C22⋊C4×C43—22no—
501C22⋊C4×C43—22no—
502C22⋊C4×C43—22no—
503C22⋊C4×C43—22no—
504C22⋊C4×C43—22no—
505C22⋊C4×C43—41no—
506C22⋊C4×C43—41no—
507C22⋊C4×C43—41no—
508C22⋊C4×C43—41no—
509C22⋊C4×C43—41no—
510C22⋊C4×C43—41no—
511C22⋊C4×C43—41no—
512C22⋊C4×C43—41no—
513C22⋊C4×C43—41no—
514C22⋊C4×C43—41no—
515C22⋊C4×C43—41no—
516C22⋊C4×C43—41no—
517C22⋊C4×C43—41no—
518C22⋊C4×C43—41no—
519C22⋊C4×C43—41no—
520C22⋊C4×C43—41no—
521C22⋊C4×C43—41no—
522C22⋊C4×C43—41no—
523C22⋊C4×C43—41no—
524C22⋊C4×C43—41no—
525C22⋊C4×C43—41no—
526C22⋊C4×C43—41no—
527C22⋊C4×C43—41no—
528C22⋊C4×C43—41no—
529C42×C43—22no—
530C42×C43—22no—
531C42×C43—41no—
532C42×C43—41no—
533C42×C43—41no—
534C42×C43—41no—
535C42×C43—41no—
536C42×C43—41no—
537C42×C43—41no—
538C23×C43—21no—
539C23×C43—21no—
540C23×C43—21no—
541C23×C43—21no—
542C23×C43—21no—
543C23×C43—21no—
544C23×C43—21no—
545C23×C43—21no—
546C23×C43—21no—
547C23×C43—21no—
548C23×C43—21no—
549C23×C43—21no—
550C23×C43—21no—
551C23×C43—21no—
552C23×C43—21no—
553C23×C43—21no—
554C23×C43—21no—
555C23×C43—21no—
556C23×C43—21no—
557C23×C43—21no—
558C23×C43—21no—
559C23×C43—21no—
560C23×C43—21no—
561C23×C43—21no—
562C23×C43—21no—
563C23×C43C2×#4112yes—
564C23×C43H(5,𝔽2)12yes—
565C23×C43H(5,𝔽2)12yes—
566C23×C43C2511yescharacteristic
567Q8×C43—44no—
568Q8×C43—82no—
569D4×C43—44no—
570D4×C43—44no—
571D4×C43—44no—
572D4×C43—44no—
573D4×C43—82no—
574D4×C43—82no—
575C2×C4×C43—28no—
576C2×C4×C43—28no—
577C2×C4×C43—21no—
578C2×C4×C43—21no—
579C2×C4×C43—21no—
580C2×C4×C43—21no—
581C2×C4×C43—21no—
582C2×C4×C43—21no—
583C2×C4×C43—21no—
584C2×C4×C43—21no—
585C2×C4×C43—21no—
586C2×C4×C43—21no—
587C2×C4×C43—21no—
588C2×C4×C43—21no—
589C2×C4×C43—21no—
590C2×C4×C43—21no—
591C2×C4×C43—21no—
592C2×C4×C43—21no—
593C2×C4×C43—21no—
594C2×C4×C43—21no—
595C2×C4×C43—21no—
596C2×C4×C43—21no—
597C2×C4×C43—21no—
598C2×C4×C43—21no—
599C2×C4×C43—21no—
600C2×C4×C43—21no—
601C2×C4×C43—21no—
602C2×C4×C43—21no—
603C2×C4×C43—21no—
604C2×C4×C43—21no—
605C2×C4×C43—21no—
606C2×C4×C43—21no—
607C2×C4×C43—21no—
608C2×C4×C43—21no—
609C2×C4×C43—21no—
610C2×C4×C43—21no—
611C2×C4×C43—21no—
612C2×C4×C43—21no—
613C2×C4×C43—21no—
614C2×C4×C43—21no—
615C2×C4×C43—21no—
616C2×C4×C43—21no—
617C2×C4×C43—21no—
618C2×C4×C43—21no—
619C2×C4×C43—21no—
620C2×C4×C43—21no—
621C2×C4×C43—21no—
622C2×C4×C43—21no—
623C2×C4×C43—21no—
624C2×C4×C43—21no—
625C2×C4×C43—21no—
626C2×C4×C43—21no—
627C2×C4×C43—21no—
628C2×C4×C43—21no—
629C2×C4×C43—21no—
630C2×C4×C43—21no—
631C2×C4×C43—21no—
632C2×C4×C43—21no—
633C2×C4×C43—21no—
634C2×C4×C43—21no—
635C2×C4×C43—21no—
636C2×C4×C43—21no—
637C2×C4×C43—21no—
638C2×C4×C43—21no—
639C2×C4×C43—21no—
640C2×C4×C43—21no—
641C2×C4×C43—21no—
642C2×C4×C43—21no—
643C2×C4×C43—21no—
644C2×C4×C43—21no—
645C2×C4×C43—21no—
646C2×C4×C43—21no—
647C2×C4×C43—21no—
648C2×C4×C43—21no—
649C2×C4×C43—21no—
650C2×C4×C43—21no—
651C2×C4×C43—21no—
652C2×C4×C43—21no—
653C2×C4×C43—44no—
654C2×C4×C43—44no—
655C2×C4×C43—44no—
656C2×C4×C43—44no—
657C2×C4×C43—44no—
658C2×C4×C43—82no—
659C2×C4×C43—82no—
660C2×C4×C43—82no—
661C2×C4×C43C2×#4112yes—
662C2×C4×C43C2×#4112yes—
663C2×C4×C43H(5,𝔽2)12yes—
664C2×C4×C432−1+412yes—
665C2×C4×C432−1+412yes—
666#36823C4311yesmaximal, characteristic, direct product factor, Sylow
667C22×C43—22no—
668C22×C43—22no—
669C22×C43—22no—
670C22×C43—22no—
671C22×C43—22no—
672C22×C43—22no—
673C22×C43—41no—
674C22×C43—41no—
675C22×C43—41no—
676C22×C43—41no—
677C22×C43—41no—
678C22×C43—41no—
679C22×C43—41no—
680C22×C43—41no—
681C22×C43—41no—
682C22×C43—41no—
683C22×C43—41no—
684C22×C43—41no—
685C22×C43—41no—
686C22×C43—41no—
687C22×C43—41no—
688C22×C43—41no—
689C22×C43—41no—
690C22×C43—41no—
691C22×C43—41no—
692C22×C43—41no—
693C22×C43—41no—
694C22×C43#53814yes—
695C22×C43C22×#4111yescharacteristic
696C22×C43C2×H(5,𝔽2)11yescharacteristic
697C22×C43C2×H(5,𝔽2)11yescharacteristic
698C22×C43C2×H(5,𝔽2)11yescharacteristic
699C22×C43C2×2−1+411yescharacteristic
700C22×C43C2×2−1+411yescharacteristic
701C22×C43#58511yescharacteristic
702C4×C43—22no—
703C4×C43—22no—
704C4×C43—22no—
705C4×C43—22no—
706C4×C43—22no—
707C4×C43—41no—
708C4×C43—41no—
709C4×C43—41no—
710C4×C43—41no—
711C4×C43—41no—
712C4×C43—41no—
713C4×C43—41no—
714C4×C43—41no—
715C4×C43—41no—
716C4×C43—41no—
717C4×C43—41no—
718C4×C43—41no—
719C4×C43—41no—
720C4×C43—41no—
721C4×C43—41no—
722C4×C43—41no—
723C4×C43—41no—
724C4×C43—41no—
725C4×C43—41no—
726C4×C43—41no—
727C4×C43—41no—
728C4×C43—41no—
729#2852C2×C4311yescharacteristic, complemented
730#2850C2×C4311yescharacteristic, complemented
731#2806C2×C4311yescharacteristic, complemented
732#2803C2×C4311yescharacteristic, complemented
733#2800C2×C4311yescharacteristic, complemented
734#2788C2×C4311yescharacteristic, complemented
735#2788C2×C4311yescharacteristic, complemented
736#2780C2×C4311yescharacteristic, complemented
737#2779C2×C4311yescharacteristic, complemented
738#2775C2×C4311yescharacteristic, complemented
739#2774C2×C4311yescharacteristic, complemented
740#2770C2×C4311yescharacteristic, complemented
741#2768C2×C4311yescharacteristic, complemented
742#2768C2×C4311yescharacteristic, complemented
743#2727C2×C4311yescharacteristic, complemented
744#2715C2×C4311yescharacteristic, complemented
745#2710C2×C4311yescharacteristic, complemented
746#2695C2×C4311yescharacteristic, complemented
747#2623C2×C4311yescharacteristic, complemented
748#2618C2×C4311yescharacteristic, complemented
749#2488C2×C4311yescharacteristic, complemented
750#2481C2×C4311yescharacteristic, complemented
751#2443C2×C4311yescharacteristic, complemented
752#2438C2×C4311yescharacteristic, complemented
753#2430C2×C4311yescharacteristic
754#2425C2×C4311yescharacteristic, complemented
755#2413C2×C4311yescharacteristic, complemented
756#2406C2×C4311yescharacteristic, complemented
757#2322C2×C4311yescharacteristic, complemented
758#2311C2×C4311yescharacteristic, complemented
759C2×#389C2×C4311yescharacteristic, complemented
760C2×C43—24no—
761C2×C43—81no—
762C2×C43—81no—
763C2×C43—81no—
764C2×C43C2×#53811yescharacteristic
765C2×C43#349211yescharacteristic
766C2×C43#350711yescharacteristic
767C2×C43#353611yescharacteristic
768C2×C43#354211yescharacteristic
769C2×C43#354411yescharacteristic
770C2×C43#355911yescharacteristic
771C22×#41C22×C4311yescharacteristic
772C2×#126C22×C4311yescharacteristic
773C2×#126C22×C4311yescharacteristic
774C2×#124C22×C4311yescharacteristic
775C2×#123C22×C4311yescharacteristic
776C2×#123C22×C4311yescharacteristic
777C2×#123C22×C4311yescharacteristic
778C2×#123C22×C4311yescharacteristic
779C2×#123C22×C4311yescharacteristic
780C2×C22⋊Q8C22×C4311yescharacteristic
781C2×#121C22×C4311yescharacteristic
782C2×#121C22×C4311yescharacteristic
783C2×C4×D4C22×C4311yescharacteristic
784C2×#117C22×C4311yescharacteristic
785C22×C4⋊C4C22×C4311yescharacteristic
786C22×C4⋊C4C22×C4311yescharacteristic
787C22×C4⋊C4C22×C4311yescharacteristic
788C22×C4⋊C4C22×C4311yescharacteristic
789C22×C42C22×C4311yescharacteristic
790#400C22×C4311yescharacteristic
791#400C22×C4311yescharacteristic
792#400C22×C4311yescharacteristic
793#400C22×C4311yescharacteristic
794#400C22×C4311yescharacteristic
795#400C22×C4311yescharacteristic
796#400C22×C4311yescharacteristic
797#399C22×C4311yescharacteristic
798#399C22×C4311yescharacteristic
799#399C22×C4311yescharacteristic
800#398C22×C4311yescharacteristic
801#398C22×C4311yescharacteristic
802#398C22×C4311yescharacteristic
803#398C22×C4311yescharacteristic
804#398C22×C4311yescharacteristic
805#398C22×C4311yescharacteristic
806#398C22×C4311yescharacteristic
807#398C22×C4311yescharacteristic
808#398C22×C4311yescharacteristic
809#398C22×C4311yescharacteristic
810#397C22×C4311yescharacteristic
811#397C22×C4311yescharacteristic
812#397C22×C4311yescharacteristic
813#397C22×C4311yescharacteristic
814#397C22×C4311yescharacteristic
815#397C22×C4311yescharacteristic
816#396C22×C4311yescharacteristic
817#396C22×C4311yescharacteristic
818#396C22×C4311yescharacteristic
819#396C22×C4311yescharacteristic
820#396C22×C4311yescharacteristic
821#396C22×C4311yescharacteristic
822#396C22×C4311yescharacteristic
823#396C22×C4311yescharacteristic
824#395C22×C4311yescharacteristic
825#395C22×C4311yescharacteristic
826#395C22×C4311yescharacteristic
827#395C22×C4311yescharacteristic
828#394C22×C4311yescharacteristic
829#394C22×C4311yescharacteristic
830#394C22×C4311yescharacteristic
831#394C22×C4311yescharacteristic
832#394C22×C4311yescharacteristic
833#394C22×C4311yescharacteristic
834#394C22×C4311yescharacteristic
835#393C22×C4311yescharacteristic
836#393C22×C4311yescharacteristic
837#392C22×C4311yescharacteristic
838#391C22×C4311yescharacteristic
839#391C22×C4311yescharacteristic
840#391C22×C4311yescharacteristic
841#391C22×C4311yescharacteristic
842#391C22×C4311yescharacteristic
843#390C22×C4311yescharacteristic
844#390C22×C4311yescharacteristic
845#390C22×C4311yescharacteristic
846#389C22×C4311yescharacteristic
847#389C22×C4311yescharacteristic
848#389C22×C4311yescharacteristic
849#389C22×C4311yescharacteristic
850#389C22×C4311yescharacteristic
851#389C22×C4311yescharacteristic
852#389C22×C4311yescharacteristic
853#389C22×C4311yescharacteristic
854#389C22×C4311yescharacteristic
855#389C22×C4311yescharacteristic
856#389C22×C4311yescharacteristic
857#389C22×C4311yescharacteristic
858#389C22×C4311yescharacteristic
859#389C22×C4311yescharacteristic
860#388C22×C4311yescharacteristic
861#388C22×C4311yescharacteristic
862#388C22×C4311yescharacteristic
863#388C22×C4311yescharacteristic
864#388C22×C4311yescharacteristic
865#388C22×C4311yescharacteristic
866#388C22×C4311yescharacteristic
867#388C22×C4311yescharacteristic
868#388C22×C4311yescharacteristic
869#388C22×C4311yescharacteristic
870#388C22×C4311yescharacteristic
871#388C22×C4311yescharacteristic
872#388C22×C4311yescharacteristic
873#388C22×C4311yescharacteristic
874#388C22×C4311yescharacteristic
875#388C22×C4311yescharacteristic
876#387C22×C4311yescharacteristic
877#387C22×C4311yescharacteristic
878#387C22×C4311yescharacteristic
879#387C22×C4311yescharacteristic
880#387C22×C4311yescharacteristic
881#387C22×C4311yescharacteristic
882#387C22×C4311yescharacteristic
883#387C22×C4311yescharacteristic
884#387C22×C4311yescharacteristic
885#387C22×C4311yescharacteristic
886#386C22×C4311yescharacteristic
887#386C22×C4311yescharacteristic
888#386C22×C4311yescharacteristic
889#386C22×C4311yescharacteristic
890#386C22×C4311yescharacteristic
891#386C22×C4311yescharacteristic
892#386C22×C4311yescharacteristic
893#386C22×C4311yescharacteristic
894#386C22×C4311yescharacteristic
895#386C22×C4311yescharacteristic
896#386C22×C4311yescharacteristic
897#386C22×C4311yescharacteristic
898#386C22×C4311yescharacteristic
899#385C22×C4311yescharacteristic
900#385C22×C4311yescharacteristic
901#385C22×C4311yescharacteristic
902#385C22×C4311yescharacteristic
903#385C22×C4311yescharacteristic
904#385C22×C4311yescharacteristic
905#385C22×C4311yescharacteristic
906#385C22×C4311yescharacteristic
907#385C22×C4311yescharacteristic
908#385C22×C4311yescharacteristic
909#385C22×C4311yescharacteristic
910#385C22×C4311yescharacteristic
911#385C22×C4311yescharacteristic
912#383C22×C4311yescharacteristic
913#382C22×C4311yescharacteristic
914#382C22×C4311yescharacteristic
915#381C22×C4311yescharacteristic
916#381C22×C4311yescharacteristic
917#380C22×C4311yescharacteristic
918#380C22×C4311yescharacteristic
919#380C22×C4311yescharacteristic
920#380C22×C4311yescharacteristic
921#380C22×C4311yescharacteristic
922#380C22×C4311yescharacteristic
923C4×C22⋊C4C22×C4311yescharacteristic
924C2×#95C22×C4311yescharacteristic
925C2×#95C22×C4311yescharacteristic
926C43#3682311yescharacteristic, direct product factor, Sylow
927C2×#41—24no—
928C2×#41—42no—
929C2×#41—42no—
930C22×Q8C23×C4311yescharacteristic
931C22×Q8C23×C4311yescharacteristic
932C22×D4C23×C4311yescharacteristic
933C22×D4C23×C4311yescharacteristic
934C22×D4C23×C4311yescharacteristic
935C22×D4C23×C4311yescharacteristic
936C22×D4C23×C4311yescharacteristic
937C22×D4C23×C4311yescharacteristic
938C23×C4C23×C4311yescharacteristic
939C23×C4C23×C4311yescharacteristic
940C23×C4C23×C4311yescharacteristic
941C23×C4C23×C4311yescharacteristic
942C23×C4C23×C4311yescharacteristic
943C23×C4C23×C4311yescharacteristic
944C23×C4C23×C4311yescharacteristic
945C23×C4C23×C4311yescharacteristic
946C23×C4C23×C4311yescharacteristic
947C23×C4C23×C4311yescharacteristic
948#126—42no—
949#126—42no—
950#124—42no—
951#123—24no—
952#123—42no—
953#123—42no—
954#123—42no—
955#123—42no—
956C22⋊Q8—42no—
957#121—42no—
958#121—42no—
959C4×D4—42no—
960#117—42no—
961C2×C4⋊C4—24no—
962C2×C4⋊C4—42no—
963C2×C4⋊C4—42no—
964C2×C4⋊C4—42no—
965C2×C4⋊C4C23×C4311yescharacteristic
966C2×C4⋊C4C23×C4311yescharacteristic
967C2×C4⋊C4C23×C4311yescharacteristic
968C2×C4⋊C4C23×C4311yescharacteristic
969C2×C4⋊C4C23×C4311yescharacteristic
970C2×C4⋊C4C23×C4311yescharacteristic
971C2×C4⋊C4C23×C4311yescharacteristic
972C2×C4⋊C4C23×C4311yescharacteristic
973C2×C4⋊C4C23×C4311yescharacteristic
974C2×C4⋊C4C23×C4311yescharacteristic
975C2×C4⋊C4C23×C4311yescharacteristic
976C2×C4⋊C4C23×C4311yescharacteristic
977C2×C4⋊C4C23×C4311yescharacteristic
978C2×C4⋊C4C23×C4311yescharacteristic
979C2×C4⋊C4C23×C4311yescharacteristic
980C2×C4⋊C4C23×C4311yescharacteristic
981C2×C4⋊C4C23×C4311yescharacteristic
982C2×C4⋊C4C23×C4311yescharacteristic
983C2×C4⋊C4C23×C4311yescharacteristic
984C2×C4⋊C4C23×C4311yescharacteristic
985C2×C4⋊C4C23×C4311yescharacteristic
986C2×C4⋊C4C23×C4311yescharacteristic
987C2×C4⋊C4C23×C4311yescharacteristic
988C2×C4⋊C4C23×C4311yescharacteristic
989C2×C4⋊C4C23×C4311yescharacteristic
990C2×C4⋊C4C23×C4311yescharacteristic
991C2×C4⋊C4C23×C4311yescharacteristic
992C2×C4⋊C4C23×C4311yescharacteristic
993C2×C4⋊C4C23×C4311yescharacteristic
994C2×C4⋊C4C23×C4311yescharacteristic
995C2×C4⋊C4C23×C4311yescharacteristic
996C2×C4⋊C4C23×C4311yescharacteristic
997C2×C4⋊C4C23×C4311yescharacteristic
998C2×C4⋊C4C23×C4311yescharacteristic
999C2×C4⋊C4C23×C4311yescharacteristic
1000C2×C4⋊C4C23×C4311yescharacteristic
1001C2×C4⋊C4C23×C4311yescharacteristic
1002C2×C4⋊C4C23×C4311yescharacteristic
1003C2×C4⋊C4C23×C4311yescharacteristic
1004C2×C4⋊C4C23×C4311yescharacteristic
1005C2×C4⋊C4C23×C4311yescharacteristic
1006C2×C4⋊C4C23×C4311yescharacteristic
1007C2×C22⋊C4C23×C4311yescharacteristic
1008C2×C22⋊C4C23×C4311yescharacteristic
1009C2×C22⋊C4C23×C4311yescharacteristic
1010C2×C22⋊C4C23×C4311yescharacteristic
1011C2×C22⋊C4C23×C4311yescharacteristic
1012C2×C22⋊C4C23×C4311yescharacteristic
1013C2×C22⋊C4C23×C4311yescharacteristic
1014C2×C22⋊C4C23×C4311yescharacteristic
1015C2×C22⋊C4C23×C4311yescharacteristic
1016C2×C22⋊C4C23×C4311yescharacteristic
1017C2×C22⋊C4C23×C4311yescharacteristic
1018C2×C22⋊C4C23×C4311yescharacteristic
1019C2×C22⋊C4C23×C4311yescharacteristic
1020C2×C22⋊C4C23×C4311yescharacteristic
1021C2×C22⋊C4C23×C4311yescharacteristic
1022C2×C22⋊C4C23×C4311yescharacteristic
1023C2×C22⋊C4C23×C4311yescharacteristic
1024C2×C22⋊C4C23×C4311yescharacteristic
1025C2×C22⋊C4C23×C4311yescharacteristic
1026C2×C22⋊C4C23×C4311yescharacteristic
1027C2×C22⋊C4C23×C4311yescharacteristic
1028C2×C22⋊C4C23×C4311yescharacteristic
1029C2×C22⋊C4C23×C4311yescharacteristic
1030C2×C22⋊C4C23×C4311yescharacteristic
1031C2×C22⋊C4C23×C4311yescharacteristic
1032C2×C22⋊C4C23×C4311yescharacteristic
1033C2×C22⋊C4C23×C4311yescharacteristic
1034C2×C22⋊C4C23×C4311yescharacteristic
1035C2×C22⋊C4C23×C4311yescharacteristic
1036C2×C22⋊C4C23×C4311yescharacteristic
1037C2×C22⋊C4C23×C4311yescharacteristic
1038C2×C22⋊C4C23×C4311yescharacteristic
1039C2×C22⋊C4C23×C4311yescharacteristic
1040C2×C22⋊C4C23×C4311yescharacteristic
1041C2×C22⋊C4C23×C4311yescharacteristic
1042C2×C22⋊C4C23×C4311yescharacteristic
1043C2×C22⋊C4C23×C4311yescharacteristic
1044C2×C22⋊C4C23×C4311yescharacteristic
1045C2×C42—42no—
1046C2×C42C23×C4311yescharacteristic
1047C2×C42C23×C4311yescharacteristic
1048C2×C42C23×C4311yescharacteristic
1049C2×C42C23×C4311yescharacteristic
1050C2×C42C23×C4311yescharacteristic
1051C2×C42C23×C4311yescharacteristic
1052C2×C42C23×C4311yescharacteristic
1053C2×C42C23×C4311yescharacteristic
1054C2×C42C23×C4311yescharacteristic
1055#95C23×C4311yescharacteristic
1056#95C23×C4311yescharacteristic
1057#95C23×C4311yescharacteristic
1058#95C23×C4311yescharacteristic
1059#95C23×C4311yescharacteristic
1060#95C23×C4311yescharacteristic
1061#95C23×C4311yescharacteristic
1062#95C23×C4311yescharacteristic
1063#95C23×C4311yescharacteristic
1064#95C23×C4311yescharacteristic
1065#95C23×C4311yescharacteristic
1066#95C23×C4311yescharacteristic
1067#95C23×C4311yescharacteristic
1068#95C23×C4311yescharacteristic
1069#95C23×C4311yescharacteristic
1070#95C23×C4311yescharacteristic
1071#95C23×C4311yescharacteristic
1072#95C23×C4311yescharacteristic
1073#95C23×C4311yescharacteristic
1074#95C23×C4311yescharacteristic
1075#95C23×C4311yescharacteristic
1076#95C23×C4311yescharacteristic
1077#95C23×C4311yescharacteristic
1078#95C23×C4311yescharacteristic
1079#95C23×C4311yescharacteristic
1080#95C23×C4311yescharacteristic
1081#95C23×C4311yescharacteristic
1082#95C23×C4311yescharacteristic
1083#95C23×C4311yescharacteristic
1084#95C23×C4311yescharacteristic
1085#95C23×C4311yescharacteristic
1086#95C23×C4311yescharacteristic
1087#95C23×C4311yescharacteristic
1088#95C23×C4311yescharacteristic
1089#95C23×C4311yescharacteristic
1090#95C23×C4311yescharacteristic
1091#95C23×C4311yescharacteristic
1092#95C23×C4311yescharacteristic
1093#95C23×C4311yescharacteristic
1094#95C23×C4311yescharacteristic
1095#95C23×C4311yescharacteristic
1096#95C23×C4311yescharacteristic
1097#95C23×C4311yescharacteristic
1098#95C23×C4311yescharacteristic
1099#95C23×C4311yescharacteristic
1100#95C23×C4311yescharacteristic
1101#95C23×C4311yescharacteristic
1102#95C23×C4311yescharacteristic
1103C24C24×C4311yescharacteristic
1104C24C24×C4311yescharacteristic
1105C24C24×C4311yescharacteristic
1106C24C24×C4311yescharacteristic
1107#41—416no—
1108C2×Q8—22no—
1109C2×Q8—22no—
1110C2×Q8—41no—
1111C2×Q8—41no—
1112C2×Q8—41no—
1113C2×Q8—41no—
1114C2×D4—22no—
1115C2×D4—22no—
1116C2×D4—22no—
1117C2×D4—22no—
1118C2×D4—22no—
1119C2×D4—22no—
1120C2×D4—22no—
1121C2×D4—22no—
1122C2×D4—22no—
1123C2×D4—22no—
1124C2×D4—22no—
1125C2×D4—41no—
1126C2×D4—41no—
1127C2×D4—41no—
1128C2×D4—41no—
1129C2×D4—41no—
1130C2×D4—41no—
1131C2×D4—41no—
1132C22×C4—22no—
1133C22×C4—22no—
1134C22×C4—22no—
1135C22×C4—22no—
1136C22×C4—22no—
1137C22×C4—22no—
1138C22×C4—22no—
1139C22×C4—22no—
1140C22×C4—22no—
1141C22×C4—22no—
1142C22×C4—22no—
1143C22×C4—22no—
1144C22×C4—22no—
1145C22×C4—22no—
1146C22×C4—22no—
1147C22×C4—41no—
1148C22×C4—41no—
1149C22×C4—41no—
1150C22×C4—41no—
1151C22×C4—41no—
1152C22×C4—41no—
1153C22×C4—41no—
1154C22×C4—41no—
1155C22×C4—41no—
1156C22×C4—41no—
1157C22×C4—41no—
1158C22×C4—41no—
1159C22×C4—41no—
1160C22×C4—41no—
1161C22×C4#41×C4314yes—
1162C22×C4C24×C4311yescharacteristic
1163C22×C4C24×C4311yescharacteristic
1164C22×C4C24×C4311yescharacteristic
1165C22×C4C24×C4311yescharacteristic
1166C22×C4C24×C4311yescharacteristic
1167C22×C4C24×C4311yescharacteristic
1168C22×C4C24×C4311yescharacteristic
1169C22×C4C24×C4311yescharacteristic
1170C22×C4C24×C4311yescharacteristic
1171C22×C4C24×C4311yescharacteristic
1172C22×C4C24×C4311yescharacteristic
1173C22×C4C24×C4311yescharacteristic
1174C22×C4C24×C4311yescharacteristic
1175C22×C4C24×C4311yescharacteristic
1176C22×C4C24×C4311yescharacteristic
1177C22×C4C24×C4311yescharacteristic
1178C22×C4C24×C4311yescharacteristic
1179C22×C4C24×C4311yescharacteristic
1180C22×C4C24×C4311yescharacteristic
1181C22×C4C24×C4311yescharacteristic
1182C22×C4C24×C4311yescharacteristic
1183C22×C4C24×C4311yescharacteristic
1184C22×C4C24×C4311yescharacteristic
1185C22×C4C24×C4311yescharacteristic
1186C22×C4C24×C4311yescharacteristic
1187C22×C4C24×C4311yescharacteristic
1188C22×C4C24×C4311yescharacteristic
1189C4⋊C4—22no—
1190C4⋊C4—22no—
1191C4⋊C4—22no—
1192C4⋊C4—22no—
1193C4⋊C4—22no—
1194C4⋊C4—22no—
1195C4⋊C4—22no—
1196C4⋊C4—22no—
1197C4⋊C4—22no—
1198C4⋊C4—22no—
1199C4⋊C4—22no—
1200C4⋊C4—41no—
1201C4⋊C4—41no—
1202C4⋊C4—41no—
1203C4⋊C4—41no—
1204C4⋊C4—41no—
1205C4⋊C4—41no—
1206C4⋊C4—41no—
1207C4⋊C4—41no—
1208C4⋊C4—41no—
1209C4⋊C4—41no—
1210C4⋊C4—41no—
1211C4⋊C4—41no—
1212C4⋊C4—41no—
1213C4⋊C4—41no—
1214C4⋊C4—41no—
1215C4⋊C4—41no—
1216C4⋊C4—41no—
1217C4⋊C4—41no—
1218C4⋊C4—41no—
1219C4⋊C4—41no—
1220C4⋊C4—41no—
1221C4⋊C4—41no—
1222C4⋊C4—41no—
1223C4⋊C4—41no—
1224C4⋊C4—41no—
1225C4⋊C4—41no—
1226C4⋊C4—41no—
1227C4⋊C4—41no—
1228C4⋊C4—41no—
1229C4⋊C4—41no—
1230C4⋊C4—41no—
1231C22⋊C4—22no—
1232C22⋊C4—22no—
1233C22⋊C4—22no—
1234C22⋊C4—22no—
1235C22⋊C4—22no—
1236C22⋊C4—22no—
1237C22⋊C4—22no—
1238C22⋊C4—22no—
1239C22⋊C4—22no—
1240C22⋊C4—22no—
1241C22⋊C4—22no—
1242C22⋊C4—22no—
1243C22⋊C4—22no—
1244C22⋊C4—22no—
1245C22⋊C4—41no—
1246C22⋊C4—41no—
1247C22⋊C4—41no—
1248C22⋊C4—41no—
1249C22⋊C4—41no—
1250C22⋊C4—41no—
1251C22⋊C4—41no—
1252C22⋊C4—41no—
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—
1269C42—22no—
1270C42—22no—
1271C42—41no—
1272C42—41no—
1273C42—41no—
1274C42—41no—
1275C42—41no—
1276C42—41no—
1277C42—41no—
1278C23—21no—
1279C23—21no—
1280C23—21no—
1281C23—21no—
1282C23—21no—
1283C23—21no—
1284C23—21no—
1285C23—21no—
1286C23—21no—
1287C23—21no—
1288C23—21no—
1289C23—21no—
1290C23—21no—
1291C23—21no—
1292C23—21no—
1293C23—21no—
1294C23—21no—
1295C23—21no—
1296C23—21no—
1297C23—21no—
1298C23—21no—
1299C23—21no—
1300C23—21no—
1301C23—21no—
1302C23—21no—
1303C23C2×#41×C4312yes—
1304C23H(5,𝔽2)×C4312yes—
1305C23H(5,𝔽2)×C4312yes—
1306C23C25×C4311yescharacteristic
1307Q8—44no—
1308Q8—82no—
1309D4—44no—
1310D4—44no—
1311D4—44no—
1312D4—44no—
1313D4—82no—
1314D4—82no—
1315C2×C4—28no—
1316C2×C4—28no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—44no—
1394C2×C4—44no—
1395C2×C4—44no—
1396C2×C4—44no—
1397C2×C4—44no—
1398C2×C4—82no—
1399C2×C4—82no—
1400C2×C4—82no—
1401C2×C4C2×#41×C4312yes—
1402C2×C4C2×#41×C4312yes—
1403C2×C4H(5,𝔽2)×C4312yes—
1404C2×C42−1+4×C4312yes—
1405C2×C42−1+4×C4312yes—
1406C22—22no—
1407C22—22no—
1408C22—22no—
1409C22—22no—
1410C22—22no—
1411C22—22no—
1412C22—41no—
1413C22—41no—
1414C22—41no—
1415C22—41no—
1416C22—41no—
1417C22—41no—
1418C22—41no—
1419C22—41no—
1420C22—41no—
1421C22—41no—
1422C22—41no—
1423C22—41no—
1424C22—41no—
1425C22—41no—
1426C22—41no—
1427C22—41no—
1428C22—41no—
1429C22—41no—
1430C22—41no—
1431C22—41no—
1432C22—41no—
1433C22C43×#53814yes—
1434C22C22×#41×C4311yescharacteristic
1435C22C2×H(5,𝔽2)×C4311yescharacteristic
1436C22C2×H(5,𝔽2)×C4311yescharacteristic
1437C22C2×H(5,𝔽2)×C4311yescharacteristic
1438C22C2×2−1+4×C4311yescharacteristic
1439C22C2×2−1+4×C4311yescharacteristic
1440C22C43×#58511yescharacteristic
1441C4—22no—
1442C4—22no—
1443C4—22no—
1444C4—22no—
1445C4—22no—
1446C4—41no—
1447C4—41no—
1448C4—41no—
1449C4—41no—
1450C4—41no—
1451C4—41no—
1452C4—41no—
1453C4—41no—
1454C4—41no—
1455C4—41no—
1456C4—41no—
1457C4—41no—
1458C4—41no—
1459C4—41no—
1460C4—41no—
1461C4—41no—
1462C4—41no—
1463C4—41no—
1464C4—41no—
1465C4—41no—
1466C4—41no—
1467C4—41no—
1468C2—24no—
1469C2—81no—
1470C2—81no—
1471C2—81no—
1472C2C2×C43×#53811yescharacteristic
1473C2C43×#349211yescharacteristic
1474C2C43×#350711yescharacteristic
1475C2C43×#353611yescharacteristic
1476C2C43×#354211yescharacteristic
1477C2C43×#354411yescharacteristic
1478C2C43×#355911yescharacteristic
subgroupG/H
center, socleC23×C43C25
commutator, Frattini, cosocleC23C25×C43
prime radicalC43×#2430C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C43 ◁ G

Complements

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

NH ≅ G/Ntype
1. C43×#2852C2semidirect
2. C43×#2850C2semidirect
3. C43×#2806C2semidirect
4. C43×#2803C2semidirect
5. C43×#2800C2semidirect
6. C43×#2788C2semidirect
7. C43×#2788C2semidirect
8. C43×#2780C2semidirect
9. C43×#2779C2semidirect
10. C43×#2775C2semidirect
11. C43×#2774C2semidirect
12. C43×#2770C2semidirect
13. C43×#2768C2semidirect
14. C43×#2768C2semidirect
15. C43×#2727C2semidirect
16. C43×#2715C2semidirect
17. C43×#2710C2semidirect
18. C43×#2695C2semidirect
19. C43×#2623C2semidirect
20. C43×#2618C2semidirect
21. C43×#2488C2semidirect
22. C43×#2481C2semidirect
23. C43×#2443C2semidirect
24. C43×#2438C2semidirect
26. C43×#2425C2semidirect
27. C43×#2413C2semidirect
28. C43×#2406C2semidirect
29. C43×#2322C2semidirect
30. C43×#2311C2semidirect
31. C2×C43×#389C2semidirect
666. #36823C43direct (N × H)
729. #2852C2×C43semidirect
730. #2850C2×C43semidirect
731. #2806C2×C43semidirect
732. #2803C2×C43semidirect
733. #2800C2×C43semidirect
734. #2788C2×C43semidirect
735. #2788C2×C43semidirect
736. #2780C2×C43semidirect
737. #2779C2×C43semidirect
738. #2775C2×C43semidirect
739. #2774C2×C43semidirect
740. #2770C2×C43semidirect
741. #2768C2×C43semidirect
742. #2768C2×C43semidirect
743. #2727C2×C43semidirect
744. #2715C2×C43semidirect
745. #2710C2×C43semidirect
746. #2695C2×C43semidirect
747. #2623C2×C43semidirect
748. #2618C2×C43semidirect
749. #2488C2×C43semidirect
750. #2481C2×C43semidirect
751. #2443C2×C43semidirect
752. #2438C2×C43semidirect
754. #2425C2×C43semidirect
755. #2413C2×C43semidirect
756. #2406C2×C43semidirect
757. #2322C2×C43semidirect
758. #2311C2×C43semidirect
759. C2×#389C2×C43semidirect
926. C43#36823direct (N × H)

Maximal subgroups

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

subgroupindex
C43×#28522
C43×#28502
C43×#28062
C43×#28032
C43×#28002
C43×#27882
C43×#27802
C43×#27792
C43×#27752
C43×#27742
C43×#27702
C43×#27682
C43×#27272
C43×#27152
C43×#27102
C43×#26952
C43×#26232
C43×#26182
C43×#24882
C43×#24812
C43×#24432
C43×#24382
C43×#24302
C43×#24252
C43×#24132
C43×#24062
C43×#23222
C43×#23112
C2×C43×#3892
#3682343