Finite Group Databasebeta

← C43×#36787 #24956804

Subgroups — C43×#36787 #24956804

Order 11008.

1728 conjugacy classes of subgroups.

The subgroup lattice has 1498 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C43×#2854C211yesmaximal, characteristic, complemented
2C43×#2852C211yesmaximal, characteristic, complemented
3C43×#2795C211yesmaximal, characteristic, complemented
4C43×#2783C211yesmaximal, characteristic, complemented
5C43×#2779C211yesmaximal, characteristic, complemented
6C43×#2757C211yesmaximal, characteristic, complemented
7C43×#2743C211yesmaximal, characteristic, complemented
8C43×#2738C211yesmaximal, characteristic, complemented
9C43×#2735C211yesmaximal, characteristic, complemented
10C43×#2725C211yesmaximal, characteristic, complemented
11C43×#2718C211yesmaximal, characteristic, complemented
12C43×#2711C211yesmaximal, characteristic, complemented
13C43×#2706C211yesmaximal, characteristic, complemented
14C43×#2701C211yesmaximal, characteristic, complemented
15C43×#2697C211yesmaximal, characteristic, complemented
16C43×#2695C211yesmaximal, characteristic, complemented
17C43×#2685C211yesmaximal, characteristic, complemented
18C43×#2668C211yesmaximal, characteristic
19C43×#2654C211yesmaximal, characteristic, complemented
20C43×#2651C211yesmaximal, characteristic, complemented
21C43×#2602C211yesmaximal, characteristic, complemented
22C43×#2597C211yesmaximal, characteristic, complemented
23C43×#2559C211yesmaximal, characteristic, complemented
24C43×#2534C211yesmaximal, characteristic, complemented
25C43×#2529C211yesmaximal, characteristic, complemented
26C43×#2526C211yesmaximal, characteristic, complemented
27C43×#2441C211yesmaximal, characteristic, complemented
28C43×#2411C211yesmaximal, characteristic, complemented
29C43×#2335C211yesmaximal, characteristic, complemented
30C43×#2312C211yesmaximal, characteristic, complemented
31C43×#2290C211yesmaximal, characteristic, complemented
32C2×#126×C43C2211yescharacteristic
33C2×#126×C43C2211yescharacteristic, complemented
34C2×#125×C43C2211yescharacteristic, complemented
35C2×#123×C43C2211yescharacteristic
36C2×#123×C43C2211yescharacteristic
37C2×#123×C43C2211yescharacteristic
38C2×#123×C43C2211yescharacteristic, complemented
39C2×#121×C43C2211yescharacteristic
40C2×#121×C43C2211yescharacteristic
41C2×#120×C43C2211yescharacteristic
42C2×#120×C43C2211yescharacteristic
43C2×C4×D4×C43C2211yescharacteristic
44C2×#117×C43C2211yescharacteristic
45C22×C22⋊C4×C43C2211yescharacteristic
46C22×C42×C43C2211yescharacteristic, complemented
47C43×#400C2211yescharacteristic, complemented
48C43×#400C2211yescharacteristic, complemented
49C43×#400C2211yescharacteristic, complemented
50C43×#400C2211yescharacteristic, complemented
51C43×#400C2211yescharacteristic, complemented
52C43×#400C2211yescharacteristic, complemented
53C43×#399C2211yescharacteristic
54C43×#399C2211yescharacteristic
55C43×#399C2211yescharacteristic
56C43×#399C2211yescharacteristic, complemented
57C43×#398C2211yescharacteristic, complemented
58C43×#398C2211yescharacteristic, complemented
59C43×#398C2211yescharacteristic, complemented
60C43×#398C2211yescharacteristic, complemented
61C43×#398C2211yescharacteristic, complemented
62C43×#397C2211yescharacteristic
63C43×#397C2211yescharacteristic
64C43×#397C2211yescharacteristic
65C43×#397C2211yescharacteristic
66C43×#397C2211yescharacteristic
67C43×#397C2211yescharacteristic
68C43×#397C2211yescharacteristic
69C43×#397C2211yescharacteristic, complemented
70C43×#397C2211yescharacteristic, complemented
71C43×#396C2211yescharacteristic
72C43×#396C2211yescharacteristic
73C43×#396C2211yescharacteristic
74C43×#396C2211yescharacteristic
75C43×#396C2211yescharacteristic
76C43×#396C2211yescharacteristic
77C43×#396C2211yescharacteristic
78C43×#396C2211yescharacteristic
79C43×#396C2211yescharacteristic
80C43×#396C2211yescharacteristic, complemented
81C43×#394C2211yescharacteristic
82C43×#394C2211yescharacteristic
83C43×#394C2211yescharacteristic
84C43×#394C2211yescharacteristic
85C43×#394C2211yescharacteristic
86C43×#394C2211yescharacteristic
87C43×#394C2211yescharacteristic
88C43×#394C2211yescharacteristic
89C43×#394C2211yescharacteristic
90C43×#394C2211yescharacteristic
91C43×#394C2211yescharacteristic
92C43×#394C2211yescharacteristic
93C43×#394C2211yescharacteristic, complemented
94C43×#392C2211yescharacteristic
95C43×#390C2211yescharacteristic
96C43×#390C2211yescharacteristic
97C43×#390C2211yescharacteristic
98C43×#390C2211yescharacteristic
99C43×#390C2211yescharacteristic
100C43×#390C2211yescharacteristic, complemented
101C43×#389C2211yescharacteristic, complemented
102C43×#389C2211yescharacteristic, complemented
103C43×#389C2211yescharacteristic, complemented
104C43×#389C2211yescharacteristic, complemented
105C43×#389C2211yescharacteristic, complemented
106C43×#389C2211yescharacteristic, complemented
107C43×#389C2211yescharacteristic, complemented
108C43×#389C2211yescharacteristic, complemented
109C43×#388C2211yescharacteristic
110C43×#388C2211yescharacteristic
111C43×#388C2211yescharacteristic
112C43×#388C2211yescharacteristic
113C43×#388C2211yescharacteristic
114C43×#388C2211yescharacteristic
115C43×#388C2211yescharacteristic
116C43×#388C2211yescharacteristic
117C43×#388C2211yescharacteristic
118C43×#388C2211yescharacteristic
119C43×#388C2211yescharacteristic
120C43×#388C2211yescharacteristic
121C43×#388C2211yescharacteristic
122C43×#388C2211yescharacteristic
123C43×#388C2211yescharacteristic
124C43×#388C2211yescharacteristic
125C43×#388C2211yescharacteristic
126C43×#388C2211yescharacteristic
127C43×#388C2211yescharacteristic
128C43×#388C2211yescharacteristic
129C43×#388C2211yescharacteristic
130C43×#388C2211yescharacteristic
131C43×#388C2211yescharacteristic
132C43×#388C2211yescharacteristic, complemented
133C43×#388C2211yescharacteristic, complemented
134C43×#388C2211yescharacteristic, complemented
135C43×#388C2211yescharacteristic, complemented
136C43×#388C2211yescharacteristic, complemented
137C43×#388C2211yescharacteristic, complemented
138C43×#388C2211yescharacteristic, complemented
139C43×#387C2211yescharacteristic, complemented
140C43×#387C2211yescharacteristic, complemented
141C43×#387C2211yescharacteristic, complemented
142C43×#387C2211yescharacteristic, complemented
143C43×#387C2211yescharacteristic, complemented
144C43×#387C2211yescharacteristic, complemented
145C43×#387C2211yescharacteristic, complemented
146C43×#387C2211yescharacteristic, complemented
147C43×#387C2211yescharacteristic, complemented
148C43×#387C2211yescharacteristic, complemented
149C43×#386C2211yescharacteristic
150C43×#386C2211yescharacteristic
151C43×#386C2211yescharacteristic
152C43×#386C2211yescharacteristic
153C43×#386C2211yescharacteristic
154C43×#386C2211yescharacteristic
155C43×#386C2211yescharacteristic
156C43×#386C2211yescharacteristic
157C43×#386C2211yescharacteristic
158C43×#386C2211yescharacteristic, complemented
159C43×#385C2211yescharacteristic
160C43×#385C2211yescharacteristic, complemented
161C43×#385C2211yescharacteristic, complemented
162C43×#385C2211yescharacteristic, complemented
163C43×#385C2211yescharacteristic, complemented
164C43×#385C2211yescharacteristic, complemented
165C43×#385C2211yescharacteristic, complemented
166C43×#385C2211yescharacteristic, complemented
167C43×#384C2211yescharacteristic, complemented
168C43×#383C2211yescharacteristic, complemented
169C43×#382C2211yescharacteristic, complemented
170C43×#381C2211yescharacteristic
171C43×#381C2211yescharacteristic, complemented
172C43×#380C2211yescharacteristic
173C43×#380C2211yescharacteristic
174C43×#380C2211yescharacteristic
175C43×#380C2211yescharacteristic, complemented
176C43×#379C2211yescharacteristic
177C43×#379C2211yescharacteristic
178C43×#379C2211yescharacteristic
179C43×#379C2211yescharacteristic
180C4×C4⋊C4×C43C2211yescharacteristic, complemented
181C4×C4⋊C4×C43C2211yescharacteristic, complemented
182C4×C22⋊C4×C43C2211yescharacteristic
183C4×C22⋊C4×C43C2211yescharacteristic
184C4×C22⋊C4×C43C2211yescharacteristic, complemented
185C4×C22⋊C4×C43C2211yescharacteristic, complemented
186C43×#376C2211yescharacteristic, complemented
187C25×C43C2311yescharacteristic
188C22×D4×C43C2311yescharacteristic
189C22×D4×C43C2311yescharacteristic
190C22×D4×C43C2311yescharacteristic
191C22×D4×C43C2311yescharacteristic
192C22×D4×C43C2311yescharacteristic
193C22×D4×C43C2311yescharacteristic
194C22×D4×C43C2311yescharacteristic
195C23×C4×C43C2311yescharacteristic
196C23×C4×C43C2311yescharacteristic
197C23×C4×C43C2311yescharacteristic
198C23×C4×C43C2311yescharacteristic
199C23×C4×C43C2311yescharacteristic
200C23×C4×C43C2311yescharacteristic
201#126×C43—42no—
202#126×C43—42no—
203#125×C43—42no—
204#123×C43—24no—
205#123×C43—42no—
206#123×C43—42no—
207#123×C43—42no—
208#121×C43—42no—
209#121×C43—42no—
210#120×C43—42no—
211#120×C43—42no—
212C4×D4×C43—24no—
213#117×C43—42no—
214C2×C4⋊C4×C43C2311yescharacteristic
215C2×C4⋊C4×C43C2311yescharacteristic
216C2×C4⋊C4×C43C2311yescharacteristic
217C2×C4⋊C4×C43C2311yescharacteristic
218C2×C4⋊C4×C43C2311yescharacteristic
219C2×C4⋊C4×C43C2311yescharacteristic
220C2×C4⋊C4×C43C2311yescharacteristic
221C2×C4⋊C4×C43C2311yescharacteristic
222C2×C4⋊C4×C43C2311yescharacteristic
223C2×C4⋊C4×C43C2311yescharacteristic
224C2×C4⋊C4×C43C2311yescharacteristic
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×C22⋊C4×C43—24no—
250C2×C22⋊C4×C43C2311yescharacteristic
251C2×C22⋊C4×C43C2311yescharacteristic
252C2×C22⋊C4×C43C2311yescharacteristic
253C2×C22⋊C4×C43C2311yescharacteristic
254C2×C22⋊C4×C43C2311yescharacteristic
255C2×C22⋊C4×C43C2311yescharacteristic
256C2×C22⋊C4×C43C2311yescharacteristic
257C2×C22⋊C4×C43C2311yescharacteristic
258C2×C22⋊C4×C43C2311yescharacteristic
259C2×C22⋊C4×C43C2311yescharacteristic
260C2×C22⋊C4×C43C2311yescharacteristic
261C2×C22⋊C4×C43C2311yescharacteristic
262C2×C22⋊C4×C43C2311yescharacteristic
263C2×C22⋊C4×C43C2311yescharacteristic
264C2×C22⋊C4×C43C2311yescharacteristic
265C2×C22⋊C4×C43C2311yescharacteristic
266C2×C22⋊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×C42×C43—42no—
303C2×C42×C43C2311yescharacteristic
304C2×C42×C43C2311yescharacteristic
305C2×C42×C43C2311yescharacteristic
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
357C24×C43—22no—
358C24×C43—41no—
359C24×C43—41no—
360C24×C43—41no—
361C24×C43—41no—
362C24×C43—41no—
363C24×C43—41no—
364C24×C43C2411yescharacteristic
365C24×C43C2411yescharacteristic
366C24×C43C2411yescharacteristic
367C24×C43C2411yescharacteristic
368C24×C43C2411yescharacteristic
369C2×D4×C43—22no—
370C2×D4×C43—22no—
371C2×D4×C43—22no—
372C2×D4×C43—22no—
373C2×D4×C43—22no—
374C2×D4×C43—22no—
375C2×D4×C43—22no—
376C2×D4×C43—41no—
377C2×D4×C43—41no—
378C2×D4×C43—41no—
379C2×D4×C43—41no—
380C2×D4×C43—41no—
381C2×D4×C43—41no—
382C2×D4×C43—41no—
383C2×D4×C43—41no—
384C2×D4×C43—41no—
385C2×D4×C43—41no—
386C2×D4×C43—41no—
387C2×D4×C43—41no—
388C2×D4×C43—41no—
389C2×D4×C43—41no—
390C22×C4×C43—22no—
391C22×C4×C43—22no—
392C22×C4×C43—22no—
393C22×C4×C43—22no—
394C22×C4×C43—41no—
395C22×C4×C43—41no—
396C22×C4×C43—41no—
397C22×C4×C43—41no—
398C22×C4×C43—41no—
399C22×C4×C43—41no—
400C22×C4×C43—41no—
401C22×C4×C43—41no—
402C22×C4×C43—41no—
403C22×C4×C43—41no—
404C22×C4×C43—41no—
405C22×C4×C43—41no—
406C22×C4×C43—41no—
407C22×C4×C43#4114yes—
408C22×C4×C43C2411yescharacteristic
409C22×C4×C43C2411yescharacteristic
410C22×C4×C43C2411yescharacteristic
411C22×C4×C43C2411yescharacteristic
412C22×C4×C43C2411yescharacteristic
413C22×C4×C43C2411yescharacteristic
414C22×C4×C43C2411yescharacteristic
415C22×C4×C43C2411yescharacteristic
416C22×C4×C43C2411yescharacteristic
417C22×C4×C43C2411yescharacteristic
418C22×C4×C43C2411yescharacteristic
419C22×C4×C43C2411yescharacteristic
420C22×C4×C43C2411yescharacteristic
421C22×C4×C43C2411yescharacteristic
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
434C4⋊C4×C43—22no—
435C4⋊C4×C43—22no—
436C4⋊C4×C43—22no—
437C4⋊C4×C43—22no—
438C4⋊C4×C43—22no—
439C4⋊C4×C43—22no—
440C4⋊C4×C43—41no—
441C4⋊C4×C43—41no—
442C4⋊C4×C43—41no—
443C4⋊C4×C43—41no—
444C4⋊C4×C43—41no—
445C4⋊C4×C43—41no—
446C4⋊C4×C43—41no—
447C4⋊C4×C43—41no—
448C4⋊C4×C43—41no—
449C4⋊C4×C43—41no—
450C4⋊C4×C43—41no—
451C4⋊C4×C43—41no—
452C4⋊C4×C43—41no—
453C4⋊C4×C43—41no—
454C4⋊C4×C43—41no—
455C4⋊C4×C43—41no—
456C4⋊C4×C43—41no—
457C4⋊C4×C43—41no—
458C4⋊C4×C43—41no—
459C4⋊C4×C43—41no—
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—
469C22⋊C4×C43—22no—
470C22⋊C4×C43—22no—
471C22⋊C4×C43—22no—
472C22⋊C4×C43—22no—
473C22⋊C4×C43—22no—
474C22⋊C4×C43—22no—
475C22⋊C4×C43—22no—
476C22⋊C4×C43—22no—
477C22⋊C4×C43—22no—
478C22⋊C4×C43—22no—
479C22⋊C4×C43—22no—
480C22⋊C4×C43—22no—
481C22⋊C4×C43—22no—
482C22⋊C4×C43—22no—
483C22⋊C4×C43—22no—
484C22⋊C4×C43—41no—
485C22⋊C4×C43—41no—
486C22⋊C4×C43—41no—
487C22⋊C4×C43—41no—
488C22⋊C4×C43—41no—
489C22⋊C4×C43—41no—
490C22⋊C4×C43—41no—
491C22⋊C4×C43—41no—
492C22⋊C4×C43—41no—
493C22⋊C4×C43—41no—
494C22⋊C4×C43—41no—
495C22⋊C4×C43—41no—
496C22⋊C4×C43—41no—
497C22⋊C4×C43—41no—
498C22⋊C4×C43—41no—
499C22⋊C4×C43—41no—
500C22⋊C4×C43—41no—
501C22⋊C4×C43—41no—
502C22⋊C4×C43—41no—
503C22⋊C4×C43—41no—
504C22⋊C4×C43—41no—
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—
521C42×C43—22no—
522C42×C43—22no—
523C42×C43—22no—
524C42×C43—41no—
525C42×C43—41no—
526C42×C43—41no—
527C42×C43—41no—
528C42×C43—41no—
529C42×C43—41no—
530C42×C43—41no—
531C42×C43—41no—
532C42×C43—41no—
533C23×C43—21no—
534C23×C43—21no—
535C23×C43—21no—
536C23×C43—21no—
537C23×C43—21no—
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×C43—21no—
564C23×C43—21no—
565C23×C43—21no—
566C23×C43—44no—
567C23×C43—82no—
568C23×C43—82no—
569C23×C43—82no—
570C23×C43—82no—
571C23×C43—82no—
572C23×C43—82no—
573C23×C43C2×#4112yes—
574C23×C43H(5,𝔽2)12yes—
575C23×C43C2511yescharacteristic
576D4×C43—44no—
577D4×C43—82no—
578D4×C43—82no—
579D4×C43—82no—
580D4×C43—82no—
581D4×C43—82no—
582D4×C43—82no—
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—21no—
654C2×C4×C43—21no—
655C2×C4×C43—21no—
656C2×C4×C43—21no—
657C2×C4×C43—21no—
658C2×C4×C43—44no—
659C2×C4×C43—44no—
660C2×C4×C43—44no—
661C2×C4×C43—44no—
662C2×C4×C43—82no—
663C2×C4×C43—82no—
664C2×C4×C43C2×#4112yes—
665C2×C4×C43C2×#4112yes—
666C2×C4×C43H(5,𝔽2)12yes—
667#36787C4311yesmaximal, characteristic, direct product factor, Sylow
668C22×C43—22no—
669C22×C43—22no—
670C22×C43—22no—
671C22×C43—22no—
672C22×C43—22no—
673C22×C43—22no—
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—41no—
695C22×C43—41no—
696C22×C43—41no—
697C22×C43—41no—
698C22×C43—41no—
699C22×C43—41no—
700C22×C43—41no—
701C22×C43—41no—
702C22×C43—41no—
703C22×C43—88no—
704C22×C43C22×#4111yescharacteristic
705C22×C43C2×H(5,𝔽2)11yescharacteristic
706C22×C43C2×H(5,𝔽2)11yescharacteristic
707C22×C43#58511yescharacteristic
708C22×C43#58511yescharacteristic
709C22×C43#58511yescharacteristic
710C22×C43#58511yescharacteristic
711C4×C43—22no—
712C4×C43—22no—
713C4×C43—22no—
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—
729C4×C43—41no—
730C4×C43—41no—
731C4×C43—41no—
732C4×C43—41no—
733C4×C43—41no—
734C4×C43—41no—
735C4×C43—41no—
736C4×C43—41no—
737#2854C2×C4311yescharacteristic, complemented
738#2852C2×C4311yescharacteristic, complemented
739#2795C2×C4311yescharacteristic, complemented
740#2783C2×C4311yescharacteristic, complemented
741#2779C2×C4311yescharacteristic, complemented
742#2757C2×C4311yescharacteristic, complemented
743#2743C2×C4311yescharacteristic, complemented
744#2738C2×C4311yescharacteristic, complemented
745#2735C2×C4311yescharacteristic, complemented
746#2725C2×C4311yescharacteristic, complemented
747#2718C2×C4311yescharacteristic, complemented
748#2711C2×C4311yescharacteristic, complemented
749#2706C2×C4311yescharacteristic, complemented
750#2701C2×C4311yescharacteristic, complemented
751#2697C2×C4311yescharacteristic, complemented
752#2695C2×C4311yescharacteristic, complemented
753#2685C2×C4311yescharacteristic, complemented
754#2668C2×C4311yescharacteristic
755#2654C2×C4311yescharacteristic, complemented
756#2651C2×C4311yescharacteristic, complemented
757#2602C2×C4311yescharacteristic, complemented
758#2597C2×C4311yescharacteristic, complemented
759#2559C2×C4311yescharacteristic, complemented
760#2534C2×C4311yescharacteristic, complemented
761#2529C2×C4311yescharacteristic, complemented
762#2526C2×C4311yescharacteristic, complemented
763#2441C2×C4311yescharacteristic, complemented
764#2411C2×C4311yescharacteristic, complemented
765#2335C2×C4311yescharacteristic, complemented
766#2312C2×C4311yescharacteristic, complemented
767#2290C2×C4311yescharacteristic, complemented
768C2×C43—42no—
769C2×C43—42no—
770C2×C43—81no—
771C2×C43—81no—
772C2×C43—81no—
773C2×C43#345511yescharacteristic
774C2×C43#349411yescharacteristic
775C2×C43#350511yescharacteristic
776C2×C43#353311yescharacteristic
777C2×C43#354211yescharacteristic
778C2×C43#356011yescharacteristic
779C2×C43#356611yescharacteristic
780C2×#126C22×C4311yescharacteristic
781C2×#126C22×C4311yescharacteristic, complemented
782C2×#125C22×C4311yescharacteristic, complemented
783C2×#123C22×C4311yescharacteristic
784C2×#123C22×C4311yescharacteristic
785C2×#123C22×C4311yescharacteristic
786C2×#123C22×C4311yescharacteristic, complemented
787C2×#121C22×C4311yescharacteristic
788C2×#121C22×C4311yescharacteristic
789C2×#120C22×C4311yescharacteristic
790C2×#120C22×C4311yescharacteristic
791C2×C4×D4C22×C4311yescharacteristic
792C2×#117C22×C4311yescharacteristic
793C22×C22⋊C4C22×C4311yescharacteristic
794C22×C42C22×C4311yescharacteristic, complemented
795#400C22×C4311yescharacteristic, complemented
796#400C22×C4311yescharacteristic, complemented
797#400C22×C4311yescharacteristic, complemented
798#400C22×C4311yescharacteristic, complemented
799#400C22×C4311yescharacteristic, complemented
800#400C22×C4311yescharacteristic, complemented
801#399C22×C4311yescharacteristic
802#399C22×C4311yescharacteristic
803#399C22×C4311yescharacteristic
804#399C22×C4311yescharacteristic, complemented
805#398C22×C4311yescharacteristic, complemented
806#398C22×C4311yescharacteristic, complemented
807#398C22×C4311yescharacteristic, complemented
808#398C22×C4311yescharacteristic, complemented
809#398C22×C4311yescharacteristic, complemented
810#397C22×C4311yescharacteristic
811#397C22×C4311yescharacteristic
812#397C22×C4311yescharacteristic
813#397C22×C4311yescharacteristic
814#397C22×C4311yescharacteristic
815#397C22×C4311yescharacteristic
816#397C22×C4311yescharacteristic
817#397C22×C4311yescharacteristic, complemented
818#397C22×C4311yescharacteristic, complemented
819#396C22×C4311yescharacteristic
820#396C22×C4311yescharacteristic
821#396C22×C4311yescharacteristic
822#396C22×C4311yescharacteristic
823#396C22×C4311yescharacteristic
824#396C22×C4311yescharacteristic
825#396C22×C4311yescharacteristic
826#396C22×C4311yescharacteristic
827#396C22×C4311yescharacteristic
828#396C22×C4311yescharacteristic, complemented
829#394C22×C4311yescharacteristic
830#394C22×C4311yescharacteristic
831#394C22×C4311yescharacteristic
832#394C22×C4311yescharacteristic
833#394C22×C4311yescharacteristic
834#394C22×C4311yescharacteristic
835#394C22×C4311yescharacteristic
836#394C22×C4311yescharacteristic
837#394C22×C4311yescharacteristic
838#394C22×C4311yescharacteristic
839#394C22×C4311yescharacteristic
840#394C22×C4311yescharacteristic
841#394C22×C4311yescharacteristic, complemented
842#392C22×C4311yescharacteristic
843#390C22×C4311yescharacteristic
844#390C22×C4311yescharacteristic
845#390C22×C4311yescharacteristic
846#390C22×C4311yescharacteristic
847#390C22×C4311yescharacteristic
848#390C22×C4311yescharacteristic, complemented
849#389C22×C4311yescharacteristic, complemented
850#389C22×C4311yescharacteristic, complemented
851#389C22×C4311yescharacteristic, complemented
852#389C22×C4311yescharacteristic, complemented
853#389C22×C4311yescharacteristic, complemented
854#389C22×C4311yescharacteristic, complemented
855#389C22×C4311yescharacteristic, complemented
856#389C22×C4311yescharacteristic, complemented
857#388C22×C4311yescharacteristic
858#388C22×C4311yescharacteristic
859#388C22×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#388C22×C4311yescharacteristic
877#388C22×C4311yescharacteristic
878#388C22×C4311yescharacteristic
879#388C22×C4311yescharacteristic
880#388C22×C4311yescharacteristic, complemented
881#388C22×C4311yescharacteristic, complemented
882#388C22×C4311yescharacteristic, complemented
883#388C22×C4311yescharacteristic, complemented
884#388C22×C4311yescharacteristic, complemented
885#388C22×C4311yescharacteristic, complemented
886#388C22×C4311yescharacteristic, complemented
887#387C22×C4311yescharacteristic, complemented
888#387C22×C4311yescharacteristic, complemented
889#387C22×C4311yescharacteristic, complemented
890#387C22×C4311yescharacteristic, complemented
891#387C22×C4311yescharacteristic, complemented
892#387C22×C4311yescharacteristic, complemented
893#387C22×C4311yescharacteristic, complemented
894#387C22×C4311yescharacteristic, complemented
895#387C22×C4311yescharacteristic, complemented
896#387C22×C4311yescharacteristic, complemented
897#386C22×C4311yescharacteristic
898#386C22×C4311yescharacteristic
899#386C22×C4311yescharacteristic
900#386C22×C4311yescharacteristic
901#386C22×C4311yescharacteristic
902#386C22×C4311yescharacteristic
903#386C22×C4311yescharacteristic
904#386C22×C4311yescharacteristic
905#386C22×C4311yescharacteristic
906#386C22×C4311yescharacteristic, complemented
907#385C22×C4311yescharacteristic
908#385C22×C4311yescharacteristic, complemented
909#385C22×C4311yescharacteristic, complemented
910#385C22×C4311yescharacteristic, complemented
911#385C22×C4311yescharacteristic, complemented
912#385C22×C4311yescharacteristic, complemented
913#385C22×C4311yescharacteristic, complemented
914#385C22×C4311yescharacteristic, complemented
915#384C22×C4311yescharacteristic, complemented
916#383C22×C4311yescharacteristic, complemented
917#382C22×C4311yescharacteristic, complemented
918#381C22×C4311yescharacteristic
919#381C22×C4311yescharacteristic, complemented
920#380C22×C4311yescharacteristic
921#380C22×C4311yescharacteristic
922#380C22×C4311yescharacteristic
923#380C22×C4311yescharacteristic, complemented
924#379C22×C4311yescharacteristic
925#379C22×C4311yescharacteristic
926#379C22×C4311yescharacteristic
927#379C22×C4311yescharacteristic
928C4×C4⋊C4C22×C4311yescharacteristic, complemented
929C4×C4⋊C4C22×C4311yescharacteristic, complemented
930C4×C22⋊C4C22×C4311yescharacteristic
931C4×C22⋊C4C22×C4311yescharacteristic
932C4×C22⋊C4C22×C4311yescharacteristic, complemented
933C4×C22⋊C4C22×C4311yescharacteristic, complemented
934#376C22×C4311yescharacteristic, complemented
935C43#3678711yescharacteristic, direct product factor, Sylow
936C25C23×C4311yescharacteristic
937C22×D4C23×C4311yescharacteristic
938C22×D4C23×C4311yescharacteristic
939C22×D4C23×C4311yescharacteristic
940C22×D4C23×C4311yescharacteristic
941C22×D4C23×C4311yescharacteristic
942C22×D4C23×C4311yescharacteristic
943C22×D4C23×C4311yescharacteristic
944C23×C4C23×C4311yescharacteristic
945C23×C4C23×C4311yescharacteristic
946C23×C4C23×C4311yescharacteristic
947C23×C4C23×C4311yescharacteristic
948C23×C4C23×C4311yescharacteristic
949C23×C4C23×C4311yescharacteristic
950#126—42no—
951#126—42no—
952#125—42no—
953#123—24no—
954#123—42no—
955#123—42no—
956#123—42no—
957#121—42no—
958#121—42no—
959#120—42no—
960#120—42no—
961C4×D4—24no—
962#117—42no—
963C2×C4⋊C4C23×C4311yescharacteristic
964C2×C4⋊C4C23×C4311yescharacteristic
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×C22⋊C4—24no—
999C2×C22⋊C4C23×C4311yescharacteristic
1000C2×C22⋊C4C23×C4311yescharacteristic
1001C2×C22⋊C4C23×C4311yescharacteristic
1002C2×C22⋊C4C23×C4311yescharacteristic
1003C2×C22⋊C4C23×C4311yescharacteristic
1004C2×C22⋊C4C23×C4311yescharacteristic
1005C2×C22⋊C4C23×C4311yescharacteristic
1006C2×C22⋊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×C22⋊C4C23×C4311yescharacteristic
1046C2×C22⋊C4C23×C4311yescharacteristic
1047C2×C22⋊C4C23×C4311yescharacteristic
1048C2×C22⋊C4C23×C4311yescharacteristic
1049C2×C22⋊C4C23×C4311yescharacteristic
1050C2×C22⋊C4C23×C4311yescharacteristic
1051C2×C42—42no—
1052C2×C42C23×C4311yescharacteristic
1053C2×C42C23×C4311yescharacteristic
1054C2×C42C23×C4311yescharacteristic
1055C2×C42C23×C4311yescharacteristic
1056C2×C42C23×C4311yescharacteristic
1057C2×C42C23×C4311yescharacteristic
1058C2×C42C23×C4311yescharacteristic
1059C2×C42C23×C4311yescharacteristic
1060C2×C42C23×C4311yescharacteristic
1061C2×C42C23×C4311yescharacteristic
1062C2×C42C23×C4311yescharacteristic
1063C2×C42C23×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
1103#95C23×C4311yescharacteristic
1104#95C23×C4311yescharacteristic
1105#95C23×C4311yescharacteristic
1106C24—22no—
1107C24—41no—
1108C24—41no—
1109C24—41no—
1110C24—41no—
1111C24—41no—
1112C24—41no—
1113C24C24×C4311yescharacteristic
1114C24C24×C4311yescharacteristic
1115C24C24×C4311yescharacteristic
1116C24C24×C4311yescharacteristic
1117C24C24×C4311yescharacteristic
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—
1132C2×D4—41no—
1133C2×D4—41no—
1134C2×D4—41no—
1135C2×D4—41no—
1136C2×D4—41no—
1137C2×D4—41no—
1138C2×D4—41no—
1139C22×C4—22no—
1140C22×C4—22no—
1141C22×C4—22no—
1142C22×C4—22no—
1143C22×C4—41no—
1144C22×C4—41no—
1145C22×C4—41no—
1146C22×C4—41no—
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#41×C4314yes—
1157C22×C4C24×C4311yescharacteristic
1158C22×C4C24×C4311yescharacteristic
1159C22×C4C24×C4311yescharacteristic
1160C22×C4C24×C4311yescharacteristic
1161C22×C4C24×C4311yescharacteristic
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
1183C4⋊C4—22no—
1184C4⋊C4—22no—
1185C4⋊C4—22no—
1186C4⋊C4—22no—
1187C4⋊C4—22no—
1188C4⋊C4—22no—
1189C4⋊C4—41no—
1190C4⋊C4—41no—
1191C4⋊C4—41no—
1192C4⋊C4—41no—
1193C4⋊C4—41no—
1194C4⋊C4—41no—
1195C4⋊C4—41no—
1196C4⋊C4—41no—
1197C4⋊C4—41no—
1198C4⋊C4—41no—
1199C4⋊C4—41no—
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—
1218C22⋊C4—22no—
1219C22⋊C4—22no—
1220C22⋊C4—22no—
1221C22⋊C4—22no—
1222C22⋊C4—22no—
1223C22⋊C4—22no—
1224C22⋊C4—22no—
1225C22⋊C4—22no—
1226C22⋊C4—22no—
1227C22⋊C4—22no—
1228C22⋊C4—22no—
1229C22⋊C4—22no—
1230C22⋊C4—22no—
1231C22⋊C4—22no—
1232C22⋊C4—22no—
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⋊C4—41no—
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—
1269C22⋊C4—41no—
1270C42—22no—
1271C42—22no—
1272C42—22no—
1273C42—41no—
1274C42—41no—
1275C42—41no—
1276C42—41no—
1277C42—41no—
1278C42—41no—
1279C42—41no—
1280C42—41no—
1281C42—41no—
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—
1303C23—21no—
1304C23—21no—
1305C23—21no—
1306C23—21no—
1307C23—21no—
1308C23—21no—
1309C23—21no—
1310C23—21no—
1311C23—21no—
1312C23—21no—
1313C23—21no—
1314C23—21no—
1315C23—44no—
1316C23—82no—
1317C23—82no—
1318C23—82no—
1319C23—82no—
1320C23—82no—
1321C23—82no—
1322C23C2×#41×C4312yes—
1323C23H(5,𝔽2)×C4312yes—
1324C23C25×C4311yescharacteristic
1325D4—44no—
1326D4—82no—
1327D4—82no—
1328D4—82no—
1329D4—82no—
1330D4—82no—
1331D4—82no—
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—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—44no—
1408C2×C4—44no—
1409C2×C4—44no—
1410C2×C4—44no—
1411C2×C4—82no—
1412C2×C4—82no—
1413C2×C4C2×#41×C4312yes—
1414C2×C4C2×#41×C4312yes—
1415C2×C4H(5,𝔽2)×C4312yes—
1416C22—22no—
1417C22—22no—
1418C22—22no—
1419C22—22no—
1420C22—22no—
1421C22—22no—
1422C22—41no—
1423C22—41no—
1424C22—41no—
1425C22—41no—
1426C22—41no—
1427C22—41no—
1428C22—41no—
1429C22—41no—
1430C22—41no—
1431C22—41no—
1432C22—41no—
1433C22—41no—
1434C22—41no—
1435C22—41no—
1436C22—41no—
1437C22—41no—
1438C22—41no—
1439C22—41no—
1440C22—41no—
1441C22—41no—
1442C22—41no—
1443C22—41no—
1444C22—41no—
1445C22—41no—
1446C22—41no—
1447C22—41no—
1448C22—41no—
1449C22—41no—
1450C22—41no—
1451C22—88no—
1452C22C22×#41×C4311yescharacteristic
1453C22C2×H(5,𝔽2)×C4311yescharacteristic
1454C22C2×H(5,𝔽2)×C4311yescharacteristic
1455C22C43×#58511yescharacteristic
1456C22C43×#58511yescharacteristic
1457C22C43×#58511yescharacteristic
1458C22C43×#58511yescharacteristic
1459C4—22no—
1460C4—22no—
1461C4—22no—
1462C4—41no—
1463C4—41no—
1464C4—41no—
1465C4—41no—
1466C4—41no—
1467C4—41no—
1468C4—41no—
1469C4—41no—
1470C4—41no—
1471C4—41no—
1472C4—41no—
1473C4—41no—
1474C4—41no—
1475C4—41no—
1476C4—41no—
1477C4—41no—
1478C4—41no—
1479C4—41no—
1480C4—41no—
1481C4—41no—
1482C4—41no—
1483C4—41no—
1484C4—41no—
1485C2—42no—
1486C2—42no—
1487C2—81no—
1488C2—81no—
1489C2—81no—
1490C2C43×#345511yescharacteristic
1491C2C43×#349411yescharacteristic
1492C2C43×#350511yescharacteristic
1493C2C43×#353311yescharacteristic
1494C2C43×#354211yescharacteristic
1495C2C43×#356011yescharacteristic
1496C2C43×#356611yescharacteristic
subgroupG/H
center, socleC23×C43C25
commutator, Frattini, cosocleC23C25×C43
prime radicalC43×#2668C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C43 ◁ G

Complements

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

NH ≅ G/Ntype
1. C43×#2854C2semidirect
2. C43×#2852C2semidirect
3. C43×#2795C2semidirect
4. C43×#2783C2semidirect
5. C43×#2779C2semidirect
6. C43×#2757C2semidirect
7. C43×#2743C2semidirect
8. C43×#2738C2semidirect
9. C43×#2735C2semidirect
10. C43×#2725C2semidirect
11. C43×#2718C2semidirect
12. C43×#2711C2semidirect
13. C43×#2706C2semidirect
14. C43×#2701C2semidirect
15. C43×#2697C2semidirect
16. C43×#2695C2semidirect
17. C43×#2685C2semidirect
19. C43×#2654C2semidirect
20. C43×#2651C2semidirect
21. C43×#2602C2semidirect
22. C43×#2597C2semidirect
23. C43×#2559C2semidirect
24. C43×#2534C2semidirect
25. C43×#2529C2semidirect
26. C43×#2526C2semidirect
27. C43×#2441C2semidirect
28. C43×#2411C2semidirect
29. C43×#2335C2semidirect
30. C43×#2312C2semidirect
31. C43×#2290C2semidirect
33. C2×#126×C43C22semidirect
34. C2×#125×C43C22semidirect
38. C2×#123×C43C22semidirect
46. C22×C42×C43C22semidirect
47. C43×#400C22semidirect
48. C43×#400C22semidirect
49. C43×#400C22semidirect
50. C43×#400C22semidirect
51. C43×#400C22semidirect
52. C43×#400C22semidirect
56. C43×#399C22semidirect
57. C43×#398C22semidirect
58. C43×#398C22semidirect
59. C43×#398C22semidirect
60. C43×#398C22semidirect
61. C43×#398C22semidirect
69. C43×#397C22semidirect
70. C43×#397C22semidirect
80. C43×#396C22semidirect
93. C43×#394C22semidirect
100. C43×#390C22semidirect
101. C43×#389C22semidirect
102. C43×#389C22semidirect
103. C43×#389C22semidirect
104. C43×#389C22semidirect
105. C43×#389C22semidirect
106. C43×#389C22semidirect
107. C43×#389C22semidirect
108. C43×#389C22semidirect
132. C43×#388C22semidirect
133. C43×#388C22semidirect
134. C43×#388C22semidirect
135. C43×#388C22semidirect
136. C43×#388C22semidirect
137. C43×#388C22semidirect
138. C43×#388C22semidirect
139. C43×#387C22semidirect
140. C43×#387C22semidirect
141. C43×#387C22semidirect
142. C43×#387C22semidirect
143. C43×#387C22semidirect
144. C43×#387C22semidirect
145. C43×#387C22semidirect
146. C43×#387C22semidirect
147. C43×#387C22semidirect
148. C43×#387C22semidirect
158. C43×#386C22semidirect
160. C43×#385C22semidirect
161. C43×#385C22semidirect
162. C43×#385C22semidirect
163. C43×#385C22semidirect
164. C43×#385C22semidirect
165. C43×#385C22semidirect
166. C43×#385C22semidirect
167. C43×#384C22semidirect
168. C43×#383C22semidirect
169. C43×#382C22semidirect
171. C43×#381C22semidirect
175. C43×#380C22semidirect
180. C4×C4⋊C4×C43C22semidirect
181. C4×C4⋊C4×C43C22semidirect
184. C4×C22⋊C4×C43C22semidirect
185. C4×C22⋊C4×C43C22semidirect
186. C43×#376C22semidirect
667. #36787C43direct (N × H)
737. #2854C2×C43semidirect
738. #2852C2×C43semidirect
739. #2795C2×C43semidirect
740. #2783C2×C43semidirect
741. #2779C2×C43semidirect
742. #2757C2×C43semidirect
743. #2743C2×C43semidirect
744. #2738C2×C43semidirect
745. #2735C2×C43semidirect
746. #2725C2×C43semidirect
747. #2718C2×C43semidirect
748. #2711C2×C43semidirect
749. #2706C2×C43semidirect
750. #2701C2×C43semidirect
751. #2697C2×C43semidirect
752. #2695C2×C43semidirect
753. #2685C2×C43semidirect
755. #2654C2×C43semidirect
756. #2651C2×C43semidirect
757. #2602C2×C43semidirect
758. #2597C2×C43semidirect
759. #2559C2×C43semidirect
760. #2534C2×C43semidirect
761. #2529C2×C43semidirect
762. #2526C2×C43semidirect
763. #2441C2×C43semidirect
764. #2411C2×C43semidirect
765. #2335C2×C43semidirect
766. #2312C2×C43semidirect
767. #2290C2×C43semidirect
781. C2×#126C22×C43semidirect
782. C2×#125C22×C43semidirect
786. C2×#123C22×C43semidirect
794. C22×C42C22×C43semidirect
795. #400C22×C43semidirect
796. #400C22×C43semidirect
797. #400C22×C43semidirect
798. #400C22×C43semidirect
799. #400C22×C43semidirect
800. #400C22×C43semidirect
804. #399C22×C43semidirect
805. #398C22×C43semidirect
806. #398C22×C43semidirect
807. #398C22×C43semidirect
808. #398C22×C43semidirect
809. #398C22×C43semidirect
817. #397C22×C43semidirect
818. #397C22×C43semidirect
828. #396C22×C43semidirect
841. #394C22×C43semidirect
848. #390C22×C43semidirect
849. #389C22×C43semidirect
850. #389C22×C43semidirect
851. #389C22×C43semidirect
852. #389C22×C43semidirect
853. #389C22×C43semidirect
854. #389C22×C43semidirect
855. #389C22×C43semidirect
856. #389C22×C43semidirect
880. #388C22×C43semidirect
881. #388C22×C43semidirect
882. #388C22×C43semidirect
883. #388C22×C43semidirect
884. #388C22×C43semidirect
885. #388C22×C43semidirect
886. #388C22×C43semidirect
887. #387C22×C43semidirect
888. #387C22×C43semidirect
889. #387C22×C43semidirect
890. #387C22×C43semidirect
891. #387C22×C43semidirect
892. #387C22×C43semidirect
893. #387C22×C43semidirect
894. #387C22×C43semidirect
895. #387C22×C43semidirect
896. #387C22×C43semidirect
906. #386C22×C43semidirect
908. #385C22×C43semidirect
909. #385C22×C43semidirect
910. #385C22×C43semidirect
911. #385C22×C43semidirect
912. #385C22×C43semidirect
913. #385C22×C43semidirect
914. #385C22×C43semidirect
915. #384C22×C43semidirect
916. #383C22×C43semidirect
917. #382C22×C43semidirect
919. #381C22×C43semidirect
923. #380C22×C43semidirect
928. C4×C4⋊C4C22×C43semidirect
929. C4×C4⋊C4C22×C43semidirect
932. C4×C22⋊C4C22×C43semidirect
933. C4×C22⋊C4C22×C43semidirect
934. #376C22×C43semidirect
935. C43#36787direct (N × H)

Maximal subgroups

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

subgroupindex
C43×#28542
C43×#28522
C43×#27952
C43×#27832
C43×#27792
C43×#27572
C43×#27432
C43×#27382
C43×#27352
C43×#27252
C43×#27182
C43×#27112
C43×#27062
C43×#27012
C43×#26972
C43×#26952
C43×#26852
C43×#26682
C43×#26542
C43×#26512
C43×#26022
C43×#25972
C43×#25592
C43×#25342
C43×#25292
C43×#25262
C43×#24412
C43×#24112
C43×#23352
C43×#23122
C43×#22902
#3678743