Finite Group Databasebeta

← C43×#36792 #24956809

Subgroups — C43×#36792 #24956809

Order 11008.

1906 conjugacy classes of subgroups.

The subgroup lattice has 1490 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C43×#2849C211yesmaximal, characteristic
2C43×#2848C211yesmaximal, characteristic, complemented
3C43×#2807C211yesmaximal, characteristic, complemented
4C43×#2796C211yesmaximal, characteristic, complemented
5C43×#2790C211yesmaximal, characteristic, complemented
6C43×#2787C211yesmaximal, characteristic, complemented
7C43×#2782C211yesmaximal, characteristic, complemented
8C43×#2781C211yesmaximal, characteristic, complemented
9C43×#2771C211yesmaximal, characteristic, complemented
10C43×#2765C211yesmaximal, characteristic, complemented
11C43×#2744C211yesmaximal, characteristic, complemented
12C43×#2732C211yesmaximal, characteristic, complemented
13C43×#2724C211yesmaximal, characteristic, complemented
14C43×#2720C211yesmaximal, characteristic, complemented
15C43×#2718C211yesmaximal, characteristic, complemented
16C43×#2694C211yesmaximal, characteristic, complemented
17C43×#2689C211yesmaximal, characteristic, complemented
18C43×#2680C211yesmaximal, characteristic, complemented
19C43×#2646C211yesmaximal, characteristic, complemented
20C43×#2643C211yesmaximal, characteristic, complemented
21C43×#2498C211yesmaximal, characteristic, complemented
22C43×#2482C211yesmaximal, characteristic, complemented
23C43×#2480C211yesmaximal, characteristic, complemented
24C43×#2473C211yesmaximal, characteristic, complemented
25C43×#2449C211yesmaximal, characteristic, complemented
26C43×#2438C211yesmaximal, characteristic, complemented
27C43×#2418C211yesmaximal, characteristic
28C43×#2411C211yesmaximal, characteristic
29C43×#2322C211yesmaximal, characteristic, complemented
30C43×#2317C211yesmaximal, characteristic, complemented
31C2×C43×#385C211yesmaximal, characteristic, complemented
32C24×C4×C43C2211yescharacteristic
33C2×#126×C43C2211yescharacteristic
34C2×#125×C43C2211yescharacteristic, complemented
35C2×#123×C43C2211yescharacteristic
36C2×#123×C43C2211yescharacteristic
37C2×#123×C43C2211yescharacteristic
38C2×#123×C43C2211yescharacteristic
39C2×C22⋊Q8×C43C2211yescharacteristic
40C2×C22⋊Q8×C43C2211yescharacteristic
41C2×C22⋊Q8×C43C2211yescharacteristic
42C2×C22⋊Q8×C43C2211yescharacteristic, complemented
43C2×#120×C43C2211yescharacteristic
44C2×C4×D4×C43C2211yescharacteristic
45C2×#117×C43C2211yescharacteristic
46C2×#117×C43C2211yescharacteristic
47C22×C4⋊C4×C43C2211yescharacteristic
48C22×C4⋊C4×C43C2211yescharacteristic
49C22×C22⋊C4×C43C2211yescharacteristic
50C22×C22⋊C4×C43C2211yescharacteristic
51C43×#401C2211yescharacteristic, complemented
52C43×#400C2211yescharacteristic, complemented
53C43×#400C2211yescharacteristic, complemented
54C43×#400C2211yescharacteristic, complemented
55C43×#400C2211yescharacteristic, complemented
56C43×#400C2211yescharacteristic, complemented
57C43×#400C2211yescharacteristic, complemented
58C43×#400C2211yescharacteristic, complemented
59C43×#400C2211yescharacteristic, complemented
60C43×#400C2211yescharacteristic, complemented
61C43×#400C2211yescharacteristic, complemented
62C43×#399C2211yescharacteristic
63C43×#399C2211yescharacteristic
64C43×#399C2211yescharacteristic
65C43×#399C2211yescharacteristic, complemented
66C43×#399C2211yescharacteristic, complemented
67C43×#398C2211yescharacteristic, complemented
68C43×#398C2211yescharacteristic, complemented
69C43×#398C2211yescharacteristic, complemented
70C43×#398C2211yescharacteristic, complemented
71C43×#398C2211yescharacteristic, complemented
72C43×#398C2211yescharacteristic, complemented
73C43×#398C2211yescharacteristic, complemented
74C43×#398C2211yescharacteristic, complemented
75C43×#398C2211yescharacteristic, complemented
76C43×#398C2211yescharacteristic, complemented
77C43×#398C2211yescharacteristic, complemented
78C43×#397C2211yescharacteristic
79C43×#397C2211yescharacteristic
80C43×#397C2211yescharacteristic
81C43×#397C2211yescharacteristic
82C43×#397C2211yescharacteristic
83C43×#397C2211yescharacteristic
84C43×#397C2211yescharacteristic, complemented
85C43×#397C2211yescharacteristic, complemented
86C43×#397C2211yescharacteristic, complemented
87C43×#397C2211yescharacteristic, complemented
88C43×#396C2211yescharacteristic
89C43×#396C2211yescharacteristic
90C43×#396C2211yescharacteristic
91C43×#396C2211yescharacteristic, complemented
92C43×#396C2211yescharacteristic, complemented
93C43×#395C2211yescharacteristic, complemented
94C43×#395C2211yescharacteristic, complemented
95C43×#394C2211yescharacteristic
96C43×#394C2211yescharacteristic
97C43×#394C2211yescharacteristic
98C43×#394C2211yescharacteristic
99C43×#391C2211yescharacteristic, complemented
100C43×#390C2211yescharacteristic
101C43×#390C2211yescharacteristic
102C43×#389C2211yescharacteristic, complemented
103C43×#389C2211yescharacteristic, complemented
104C43×#389C2211yescharacteristic, complemented
105C43×#389C2211yescharacteristic, complemented
106C43×#389C2211yescharacteristic, complemented
107C43×#389C2211yescharacteristic, complemented
108C43×#389C2211yescharacteristic, complemented
109C43×#389C2211yescharacteristic, complemented
110C43×#389C2211yescharacteristic, complemented
111C43×#388C2211yescharacteristic
112C43×#388C2211yescharacteristic
113C43×#388C2211yescharacteristic
114C43×#388C2211yescharacteristic
115C43×#388C2211yescharacteristic
116C43×#388C2211yescharacteristic
117C43×#388C2211yescharacteristic
118C43×#388C2211yescharacteristic
119C43×#388C2211yescharacteristic
120C43×#388C2211yescharacteristic
121C43×#388C2211yescharacteristic
122C43×#388C2211yescharacteristic, complemented
123C43×#388C2211yescharacteristic, complemented
124C43×#388C2211yescharacteristic, complemented
125C43×#388C2211yescharacteristic, complemented
126C43×#387C2211yescharacteristic, complemented
127C43×#387C2211yescharacteristic, complemented
128C43×#387C2211yescharacteristic, complemented
129C43×#387C2211yescharacteristic, complemented
130C43×#387C2211yescharacteristic, complemented
131C43×#387C2211yescharacteristic, complemented
132C43×#387C2211yescharacteristic, complemented
133C43×#387C2211yescharacteristic, complemented
134C43×#387C2211yescharacteristic, complemented
135C43×#386C2211yescharacteristic
136C43×#386C2211yescharacteristic
137C43×#386C2211yescharacteristic
138C43×#386C2211yescharacteristic
139C43×#386C2211yescharacteristic
140C43×#386C2211yescharacteristic
141C43×#386C2211yescharacteristic
142C43×#385C2211yescharacteristic
143C43×#385C2211yescharacteristic
144C43×#385C2211yescharacteristic
145C43×#385C2211yescharacteristic
146C43×#385C2211yescharacteristic
147C43×#385C2211yescharacteristic
148C43×#385C2211yescharacteristic
149C43×#385C2211yescharacteristic
150C43×#385C2211yescharacteristic
151C43×#385C2211yescharacteristic
152C43×#385C2211yescharacteristic
153C43×#385C2211yescharacteristic
154C43×#385C2211yescharacteristic
155C43×#385C2211yescharacteristic
156C43×#385C2211yescharacteristic
157C43×#385C2211yescharacteristic
158C43×#385C2211yescharacteristic
159C43×#385C2211yescharacteristic
160C43×#385C2211yescharacteristic
161C43×#385C2211yescharacteristic
162C43×#385C2211yescharacteristic
163C43×#385C2211yescharacteristic
164C43×#385C2211yescharacteristic
165C43×#385C2211yescharacteristic
166C43×#385C2211yescharacteristic, complemented
167C43×#385C2211yescharacteristic, complemented
168C43×#385C2211yescharacteristic, complemented
169C43×#384C2211yescharacteristic, complemented
170C43×#384C2211yescharacteristic, complemented
171C43×#382C2211yescharacteristic, complemented
172C43×#382C2211yescharacteristic, complemented
173C43×#381C2211yescharacteristic
174C43×#381C2211yescharacteristic
175C43×#381C2211yescharacteristic
176C43×#380C2211yescharacteristic
177C43×#380C2211yescharacteristic
178C43×#380C2211yescharacteristic
179C43×#380C2211yescharacteristic
180C43×#380C2211yescharacteristic
181C43×#379C2211yescharacteristic
182C43×#379C2211yescharacteristic
183C43×#379C2211yescharacteristic
184C4×C22⋊C4×C43C2211yescharacteristic
185C2×#95×C43C2211yescharacteristic
186C2×#95×C43C2211yescharacteristic
187C25×C43C2311yescharacteristic
188C22×Q8×C43C2311yescharacteristic
189C22×D4×C43C2311yescharacteristic
190C22×D4×C43C2311yescharacteristic
191C22×D4×C43C2311yescharacteristic
192C23×C4×C43—42no—
193C23×C4×C43—42no—
194C23×C4×C43—42no—
195C23×C4×C43C2311yescharacteristic
196C23×C4×C43C2311yescharacteristic
197C23×C4×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
206#126×C43—42no—
207#125×C43—42no—
208#123×C43—24no—
209#123×C43—42no—
210#123×C43—42no—
211#123×C43—42no—
212C22⋊Q8×C43—42no—
213C22⋊Q8×C43—42no—
214C22⋊Q8×C43—42no—
215C22⋊Q8×C43—42no—
216#120×C43—42no—
217C4×D4×C43—42no—
218#117×C43—24no—
219#117×C43—42no—
220C2×C4⋊C4×C43—42no—
221C2×C4⋊C4×C43—42no—
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×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×C22⋊C4×C43—24no—
267C2×C22⋊C4×C43—42no—
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×C22⋊C4×C43C2311yescharacteristic
306C2×C22⋊C4×C43C2311yescharacteristic
307C2×C22⋊C4×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×C43—22no—
364C24×C43—22no—
365C24×C43—22no—
366C24×C43—22no—
367C24×C43—22no—
368C24×C43—41no—
369C24×C43—41no—
370C24×C43C2411yescharacteristic
371C24×C43C2411yescharacteristic
372C24×C43C2411yescharacteristic
373C24×C43C2411yescharacteristic
374C2×Q8×C43—22no—
375C2×Q8×C43—41no—
376C2×Q8×C43—41no—
377C2×D4×C43—22no—
378C2×D4×C43—22no—
379C2×D4×C43—22no—
380C2×D4×C43—22no—
381C2×D4×C43—22no—
382C2×D4×C43—41no—
383C2×D4×C43—41no—
384C2×D4×C43—41no—
385C2×D4×C43—41no—
386C22×C4×C43—22no—
387C22×C4×C43—22no—
388C22×C4×C43—22no—
389C22×C4×C43—22no—
390C22×C4×C43—22no—
391C22×C4×C43—22no—
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—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—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—416no—
419C22×C4×C43#4114yes—
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
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
447C4⋊C4×C43—22no—
448C4⋊C4×C43—22no—
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—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—
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—22no—
506C22⋊C4×C43—22no—
507C22⋊C4×C43—22no—
508C22⋊C4×C43—22no—
509C22⋊C4×C43—22no—
510C22⋊C4×C43—22no—
511C22⋊C4×C43—22no—
512C22⋊C4×C43—22no—
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—
529C22⋊C4×C43—41no—
530C22⋊C4×C43—41no—
531C42×C43—22no—
532C42×C43—22no—
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—28no—
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—44no—
563C23×C43—44no—
564C23×C43—44no—
565C23×C43—44no—
566C23×C43—44no—
567C23×C43—44no—
568C23×C43C2×#4112yes—
569C23×C43H(5,𝔽2)12yes—
570C23×C43H(5,𝔽2)12yes—
571C23×C432−1+412yes—
572C23×C432−1+412yes—
573C23×C43C2511yescharacteristic
574Q8×C43—82no—
575D4×C43—44no—
576D4×C43—82no—
577D4×C43—82no—
578C2×C4×C43—28no—
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—21no—
654C2×C4×C43—21no—
655C2×C4×C43—21no—
656C2×C4×C43—21no—
657C2×C4×C43—44no—
658C2×C4×C43—44no—
659C2×C4×C43—44no—
660C2×C4×C43—44no—
661C2×C4×C43—44no—
662C2×C4×C43—44no—
663C2×C4×C43—44no—
664C2×C4×C43—82no—
665C2×C4×C43—82no—
666C2×C4×C43—82no—
667C2×C4×C43C2×#4112yes—
668C2×C4×C43C2×#4112yes—
669C2×C4×C43H(5,𝔽2)12yes—
670#36792C4311yesmaximal, characteristic, direct product factor, Sylow
671C22×C43—22no—
672C22×C43—22no—
673C22×C43—22no—
674C22×C43—22no—
675C22×C43—22no—
676C22×C43—22no—
677C22×C43—22no—
678C22×C43—22no—
679C22×C43—22no—
680C22×C43—22no—
681C22×C43—22no—
682C22×C43—22no—
683C22×C43—416no—
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#53914yes—
700C22×C43C22×#4111yescharacteristic
701C22×C43C2×H(5,𝔽2)11yescharacteristic
702C22×C43C2×H(5,𝔽2)11yescharacteristic
703C22×C43C2×H(5,𝔽2)11yescharacteristic
704C22×C43C2×2−1+411yescharacteristic
705C22×C43C2×2−1+411yescharacteristic
706C22×C43#58511yescharacteristic
707C4×C43—22no—
708C4×C43—22no—
709C4×C43—22no—
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—
729C4×C43—41no—
730C4×C43—41no—
731C4×C43—41no—
732C4×C43—41no—
733C4×C43—41no—
734#2849C2×C4311yescharacteristic
735#2848C2×C4311yescharacteristic, complemented
736#2807C2×C4311yescharacteristic, complemented
737#2796C2×C4311yescharacteristic, complemented
738#2790C2×C4311yescharacteristic, complemented
739#2787C2×C4311yescharacteristic, complemented
740#2782C2×C4311yescharacteristic, complemented
741#2781C2×C4311yescharacteristic, complemented
742#2771C2×C4311yescharacteristic, complemented
743#2765C2×C4311yescharacteristic, complemented
744#2744C2×C4311yescharacteristic, complemented
745#2732C2×C4311yescharacteristic, complemented
746#2724C2×C4311yescharacteristic, complemented
747#2720C2×C4311yescharacteristic, complemented
748#2718C2×C4311yescharacteristic, complemented
749#2694C2×C4311yescharacteristic, complemented
750#2689C2×C4311yescharacteristic, complemented
751#2680C2×C4311yescharacteristic, complemented
752#2646C2×C4311yescharacteristic, complemented
753#2643C2×C4311yescharacteristic, complemented
754#2498C2×C4311yescharacteristic, complemented
755#2482C2×C4311yescharacteristic, complemented
756#2480C2×C4311yescharacteristic, complemented
757#2473C2×C4311yescharacteristic, complemented
758#2449C2×C4311yescharacteristic, complemented
759#2438C2×C4311yescharacteristic, complemented
760#2418C2×C4311yescharacteristic
761#2411C2×C4311yescharacteristic
762#2322C2×C4311yescharacteristic, complemented
763#2317C2×C4311yescharacteristic, complemented
764C2×#385C2×C4311yescharacteristic, complemented
765C2×C43—24no—
766C2×C43—42no—
767C2×C43—42no—
768C2×C43—81no—
769C2×C43C2×#53911yescharacteristic
770C2×C43#349211yescharacteristic
771C2×C43#350611yescharacteristic
772C2×C43#353211yescharacteristic
773C2×C43#353511yescharacteristic
774C2×C43#353511yescharacteristic
775C2×C43#353811yescharacteristic
776C24×C4C22×C4311yescharacteristic
777C2×#126C22×C4311yescharacteristic
778C2×#125C22×C4311yescharacteristic, complemented
779C2×#123C22×C4311yescharacteristic
780C2×#123C22×C4311yescharacteristic
781C2×#123C22×C4311yescharacteristic
782C2×#123C22×C4311yescharacteristic
783C2×C22⋊Q8C22×C4311yescharacteristic
784C2×C22⋊Q8C22×C4311yescharacteristic
785C2×C22⋊Q8C22×C4311yescharacteristic
786C2×C22⋊Q8C22×C4311yescharacteristic, complemented
787C2×#120C22×C4311yescharacteristic
788C2×C4×D4C22×C4311yescharacteristic
789C2×#117C22×C4311yescharacteristic
790C2×#117C22×C4311yescharacteristic
791C22×C4⋊C4C22×C4311yescharacteristic
792C22×C4⋊C4C22×C4311yescharacteristic
793C22×C22⋊C4C22×C4311yescharacteristic
794C22×C22⋊C4C22×C4311yescharacteristic
795#401C22×C4311yescharacteristic, complemented
796#400C22×C4311yescharacteristic, complemented
797#400C22×C4311yescharacteristic, complemented
798#400C22×C4311yescharacteristic, complemented
799#400C22×C4311yescharacteristic, complemented
800#400C22×C4311yescharacteristic, complemented
801#400C22×C4311yescharacteristic, complemented
802#400C22×C4311yescharacteristic, complemented
803#400C22×C4311yescharacteristic, complemented
804#400C22×C4311yescharacteristic, complemented
805#400C22×C4311yescharacteristic, complemented
806#399C22×C4311yescharacteristic
807#399C22×C4311yescharacteristic
808#399C22×C4311yescharacteristic
809#399C22×C4311yescharacteristic, complemented
810#399C22×C4311yescharacteristic, complemented
811#398C22×C4311yescharacteristic, complemented
812#398C22×C4311yescharacteristic, complemented
813#398C22×C4311yescharacteristic, complemented
814#398C22×C4311yescharacteristic, complemented
815#398C22×C4311yescharacteristic, complemented
816#398C22×C4311yescharacteristic, complemented
817#398C22×C4311yescharacteristic, complemented
818#398C22×C4311yescharacteristic, complemented
819#398C22×C4311yescharacteristic, complemented
820#398C22×C4311yescharacteristic, complemented
821#398C22×C4311yescharacteristic, complemented
822#397C22×C4311yescharacteristic
823#397C22×C4311yescharacteristic
824#397C22×C4311yescharacteristic
825#397C22×C4311yescharacteristic
826#397C22×C4311yescharacteristic
827#397C22×C4311yescharacteristic
828#397C22×C4311yescharacteristic, complemented
829#397C22×C4311yescharacteristic, complemented
830#397C22×C4311yescharacteristic, complemented
831#397C22×C4311yescharacteristic, complemented
832#396C22×C4311yescharacteristic
833#396C22×C4311yescharacteristic
834#396C22×C4311yescharacteristic
835#396C22×C4311yescharacteristic, complemented
836#396C22×C4311yescharacteristic, complemented
837#395C22×C4311yescharacteristic, complemented
838#395C22×C4311yescharacteristic, complemented
839#394C22×C4311yescharacteristic
840#394C22×C4311yescharacteristic
841#394C22×C4311yescharacteristic
842#394C22×C4311yescharacteristic
843#391C22×C4311yescharacteristic, complemented
844#390C22×C4311yescharacteristic
845#390C22×C4311yescharacteristic
846#389C22×C4311yescharacteristic, complemented
847#389C22×C4311yescharacteristic, complemented
848#389C22×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#388C22×C4311yescharacteristic
856#388C22×C4311yescharacteristic
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, complemented
867#388C22×C4311yescharacteristic, complemented
868#388C22×C4311yescharacteristic, complemented
869#388C22×C4311yescharacteristic, complemented
870#387C22×C4311yescharacteristic, complemented
871#387C22×C4311yescharacteristic, complemented
872#387C22×C4311yescharacteristic, complemented
873#387C22×C4311yescharacteristic, complemented
874#387C22×C4311yescharacteristic, complemented
875#387C22×C4311yescharacteristic, complemented
876#387C22×C4311yescharacteristic, complemented
877#387C22×C4311yescharacteristic, complemented
878#387C22×C4311yescharacteristic, complemented
879#386C22×C4311yescharacteristic
880#386C22×C4311yescharacteristic
881#386C22×C4311yescharacteristic
882#386C22×C4311yescharacteristic
883#386C22×C4311yescharacteristic
884#386C22×C4311yescharacteristic
885#386C22×C4311yescharacteristic
886#385C22×C4311yescharacteristic
887#385C22×C4311yescharacteristic
888#385C22×C4311yescharacteristic
889#385C22×C4311yescharacteristic
890#385C22×C4311yescharacteristic
891#385C22×C4311yescharacteristic
892#385C22×C4311yescharacteristic
893#385C22×C4311yescharacteristic
894#385C22×C4311yescharacteristic
895#385C22×C4311yescharacteristic
896#385C22×C4311yescharacteristic
897#385C22×C4311yescharacteristic
898#385C22×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, complemented
911#385C22×C4311yescharacteristic, complemented
912#385C22×C4311yescharacteristic, complemented
913#384C22×C4311yescharacteristic, complemented
914#384C22×C4311yescharacteristic, complemented
915#382C22×C4311yescharacteristic, complemented
916#382C22×C4311yescharacteristic, complemented
917#381C22×C4311yescharacteristic
918#381C22×C4311yescharacteristic
919#381C22×C4311yescharacteristic
920#380C22×C4311yescharacteristic
921#380C22×C4311yescharacteristic
922#380C22×C4311yescharacteristic
923#380C22×C4311yescharacteristic
924#380C22×C4311yescharacteristic
925#379C22×C4311yescharacteristic
926#379C22×C4311yescharacteristic
927#379C22×C4311yescharacteristic
928C4×C22⋊C4C22×C4311yescharacteristic
929C2×#95C22×C4311yescharacteristic
930C2×#95C22×C4311yescharacteristic
931C43#3679211yescharacteristic, direct product factor, Sylow
932C25C23×C4311yescharacteristic
933C22×Q8C23×C4311yescharacteristic
934C22×D4C23×C4311yescharacteristic
935C22×D4C23×C4311yescharacteristic
936C22×D4C23×C4311yescharacteristic
937C23×C4—42no—
938C23×C4—42no—
939C23×C4—42no—
940C23×C4C23×C4311yescharacteristic
941C23×C4C23×C4311yescharacteristic
942C23×C4C23×C4311yescharacteristic
943C23×C4C23×C4311yescharacteristic
944C23×C4C23×C4311yescharacteristic
945C23×C4C23×C4311yescharacteristic
946C23×C4C23×C4311yescharacteristic
947C23×C4C23×C4311yescharacteristic
948C23×C4C23×C4311yescharacteristic
949C23×C4C23×C4311yescharacteristic
950C23×C4C23×C4311yescharacteristic
951#126—42no—
952#125—42no—
953#123—24no—
954#123—42no—
955#123—42no—
956#123—42no—
957C22⋊Q8—42no—
958C22⋊Q8—42no—
959C22⋊Q8—42no—
960C22⋊Q8—42no—
961#120—42no—
962C4×D4—42no—
963#117—24no—
964#117—42no—
965C2×C4⋊C4—42no—
966C2×C4⋊C4—42no—
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×C4⋊C4C23×C4311yescharacteristic
1008C2×C4⋊C4C23×C4311yescharacteristic
1009C2×C4⋊C4C23×C4311yescharacteristic
1010C2×C4⋊C4C23×C4311yescharacteristic
1011C2×C22⋊C4—24no—
1012C2×C22⋊C4—42no—
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×C22⋊C4C23×C4311yescharacteristic
1052C2×C22⋊C4C23×C4311yescharacteristic
1053C2×C42C23×C4311yescharacteristic
1054C2×C42C23×C4311yescharacteristic
1055C2×C42C23×C4311yescharacteristic
1056C2×C42C23×C4311yescharacteristic
1057C2×C42C23×C4311yescharacteristic
1058C2×C42C23×C4311yescharacteristic
1059C2×C42C23×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
1103#95C23×C4311yescharacteristic
1104#95C23×C4311yescharacteristic
1105#95C23×C4311yescharacteristic
1106#95C23×C4311yescharacteristic
1107#95C23×C4311yescharacteristic
1108C24—22no—
1109C24—22no—
1110C24—22no—
1111C24—22no—
1112C24—22no—
1113C24—41no—
1114C24—41no—
1115C24C24×C4311yescharacteristic
1116C24C24×C4311yescharacteristic
1117C24C24×C4311yescharacteristic
1118C24C24×C4311yescharacteristic
1119C2×Q8—22no—
1120C2×Q8—41no—
1121C2×Q8—41no—
1122C2×D4—22no—
1123C2×D4—22no—
1124C2×D4—22no—
1125C2×D4—22no—
1126C2×D4—22no—
1127C2×D4—41no—
1128C2×D4—41no—
1129C2×D4—41no—
1130C2×D4—41no—
1131C22×C4—22no—
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—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—41no—
1157C22×C4—41no—
1158C22×C4—41no—
1159C22×C4—41no—
1160C22×C4—41no—
1161C22×C4—41no—
1162C22×C4—41no—
1163C22×C4—416no—
1164C22×C4#41×C4314yes—
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
1189C22×C4C24×C4311yescharacteristic
1190C22×C4C24×C4311yescharacteristic
1191C22×C4C24×C4311yescharacteristic
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—
1231C4⋊C4—41no—
1232C4⋊C4—41no—
1233C4⋊C4—41no—
1234C4⋊C4—41no—
1235C4⋊C4—41no—
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—22no—
1246C22⋊C4—22no—
1247C22⋊C4—22no—
1248C22⋊C4—22no—
1249C22⋊C4—22no—
1250C22⋊C4—22no—
1251C22⋊C4—22no—
1252C22⋊C4—22no—
1253C22⋊C4—22no—
1254C22⋊C4—22no—
1255C22⋊C4—22no—
1256C22⋊C4—22no—
1257C22⋊C4—22no—
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⋊C4—41no—
1275C22⋊C4—41no—
1276C42—22no—
1277C42—22no—
1278C42—41no—
1279C42—41no—
1280C42—41no—
1281C42—41no—
1282C42—41no—
1283C23—21no—
1284C23—21no—
1285C23—21no—
1286C23—21no—
1287C23—28no—
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—44no—
1308C23—44no—
1309C23—44no—
1310C23—44no—
1311C23—44no—
1312C23—44no—
1313C23C2×#41×C4312yes—
1314C23H(5,𝔽2)×C4312yes—
1315C23H(5,𝔽2)×C4312yes—
1316C232−1+4×C4312yes—
1317C232−1+4×C4312yes—
1318C23C25×C4311yescharacteristic
1319Q8—82no—
1320D4—44no—
1321D4—82no—
1322D4—82no—
1323C2×C4—28no—
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—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—44no—
1403C2×C4—44no—
1404C2×C4—44no—
1405C2×C4—44no—
1406C2×C4—44no—
1407C2×C4—44no—
1408C2×C4—44no—
1409C2×C4—82no—
1410C2×C4—82no—
1411C2×C4—82no—
1412C2×C4C2×#41×C4312yes—
1413C2×C4C2×#41×C4312yes—
1414C2×C4H(5,𝔽2)×C4312yes—
1415C22—22no—
1416C22—22no—
1417C22—22no—
1418C22—22no—
1419C22—22no—
1420C22—22no—
1421C22—22no—
1422C22—22no—
1423C22—22no—
1424C22—22no—
1425C22—22no—
1426C22—22no—
1427C22—416no—
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—
1443C22C43×#53914yes—
1444C22C22×#41×C4311yescharacteristic
1445C22C2×H(5,𝔽2)×C4311yescharacteristic
1446C22C2×H(5,𝔽2)×C4311yescharacteristic
1447C22C2×H(5,𝔽2)×C4311yescharacteristic
1448C22C2×2−1+4×C4311yescharacteristic
1449C22C2×2−1+4×C4311yescharacteristic
1450C22C43×#58511yescharacteristic
1451C4—22no—
1452C4—22no—
1453C4—22no—
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—
1468C4—41no—
1469C4—41no—
1470C4—41no—
1471C4—41no—
1472C4—41no—
1473C4—41no—
1474C4—41no—
1475C4—41no—
1476C4—41no—
1477C4—41no—
1478C2—24no—
1479C2—42no—
1480C2—42no—
1481C2—81no—
1482C2C2×C43×#53911yescharacteristic
1483C2C43×#349211yescharacteristic
1484C2C43×#350611yescharacteristic
1485C2C43×#353211yescharacteristic
1486C2C43×#353511yescharacteristic
1487C2C43×#353511yescharacteristic
1488C2C43×#353811yescharacteristic
subgroupG/H
center, socleC23×C43C25
commutator, Frattini, cosocleC23C25×C43
prime radicalC2×#120×C43C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C43 ◁ G

Complements

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

NH ≅ G/Ntype
2. C43×#2848C2semidirect
3. C43×#2807C2semidirect
4. C43×#2796C2semidirect
5. C43×#2790C2semidirect
6. C43×#2787C2semidirect
7. C43×#2782C2semidirect
8. C43×#2781C2semidirect
9. C43×#2771C2semidirect
10. C43×#2765C2semidirect
11. C43×#2744C2semidirect
12. C43×#2732C2semidirect
13. C43×#2724C2semidirect
14. C43×#2720C2semidirect
15. C43×#2718C2semidirect
16. C43×#2694C2semidirect
17. C43×#2689C2semidirect
18. C43×#2680C2semidirect
19. C43×#2646C2semidirect
20. C43×#2643C2semidirect
21. C43×#2498C2semidirect
22. C43×#2482C2semidirect
23. C43×#2480C2semidirect
24. C43×#2473C2semidirect
25. C43×#2449C2semidirect
26. C43×#2438C2semidirect
29. C43×#2322C2semidirect
30. C43×#2317C2semidirect
31. C2×C43×#385C2semidirect
34. C2×#125×C43C22semidirect
42. C2×C22⋊Q8×C43C22semidirect
51. C43×#401C22semidirect
52. C43×#400C22semidirect
53. C43×#400C22semidirect
54. C43×#400C22semidirect
55. C43×#400C22semidirect
56. C43×#400C22semidirect
57. C43×#400C22semidirect
58. C43×#400C22semidirect
59. C43×#400C22semidirect
60. C43×#400C22semidirect
61. C43×#400C22semidirect
65. C43×#399C22semidirect
66. C43×#399C22semidirect
67. C43×#398C22semidirect
68. C43×#398C22semidirect
69. C43×#398C22semidirect
70. C43×#398C22semidirect
71. C43×#398C22semidirect
72. C43×#398C22semidirect
73. C43×#398C22semidirect
74. C43×#398C22semidirect
75. C43×#398C22semidirect
76. C43×#398C22semidirect
77. C43×#398C22semidirect
84. C43×#397C22semidirect
85. C43×#397C22semidirect
86. C43×#397C22semidirect
87. C43×#397C22semidirect
91. C43×#396C22semidirect
92. C43×#396C22semidirect
93. C43×#395C22semidirect
94. C43×#395C22semidirect
99. C43×#391C22semidirect
102. C43×#389C22semidirect
103. C43×#389C22semidirect
104. C43×#389C22semidirect
105. C43×#389C22semidirect
106. C43×#389C22semidirect
107. C43×#389C22semidirect
108. C43×#389C22semidirect
109. C43×#389C22semidirect
110. C43×#389C22semidirect
122. C43×#388C22semidirect
123. C43×#388C22semidirect
124. C43×#388C22semidirect
125. C43×#388C22semidirect
126. C43×#387C22semidirect
127. C43×#387C22semidirect
128. C43×#387C22semidirect
129. C43×#387C22semidirect
130. C43×#387C22semidirect
131. C43×#387C22semidirect
132. C43×#387C22semidirect
133. C43×#387C22semidirect
134. C43×#387C22semidirect
166. C43×#385C22semidirect
167. C43×#385C22semidirect
168. C43×#385C22semidirect
169. C43×#384C22semidirect
170. C43×#384C22semidirect
171. C43×#382C22semidirect
172. C43×#382C22semidirect
670. #36792C43direct (N × H)
735. #2848C2×C43semidirect
736. #2807C2×C43semidirect
737. #2796C2×C43semidirect
738. #2790C2×C43semidirect
739. #2787C2×C43semidirect
740. #2782C2×C43semidirect
741. #2781C2×C43semidirect
742. #2771C2×C43semidirect
743. #2765C2×C43semidirect
744. #2744C2×C43semidirect
745. #2732C2×C43semidirect
746. #2724C2×C43semidirect
747. #2720C2×C43semidirect
748. #2718C2×C43semidirect
749. #2694C2×C43semidirect
750. #2689C2×C43semidirect
751. #2680C2×C43semidirect
752. #2646C2×C43semidirect
753. #2643C2×C43semidirect
754. #2498C2×C43semidirect
755. #2482C2×C43semidirect
756. #2480C2×C43semidirect
757. #2473C2×C43semidirect
758. #2449C2×C43semidirect
759. #2438C2×C43semidirect
762. #2322C2×C43semidirect
763. #2317C2×C43semidirect
764. C2×#385C2×C43semidirect
778. C2×#125C22×C43semidirect
786. C2×C22⋊Q8C22×C43semidirect
795. #401C22×C43semidirect
796. #400C22×C43semidirect
797. #400C22×C43semidirect
798. #400C22×C43semidirect
799. #400C22×C43semidirect
800. #400C22×C43semidirect
801. #400C22×C43semidirect
802. #400C22×C43semidirect
803. #400C22×C43semidirect
804. #400C22×C43semidirect
805. #400C22×C43semidirect
809. #399C22×C43semidirect
810. #399C22×C43semidirect
811. #398C22×C43semidirect
812. #398C22×C43semidirect
813. #398C22×C43semidirect
814. #398C22×C43semidirect
815. #398C22×C43semidirect
816. #398C22×C43semidirect
817. #398C22×C43semidirect
818. #398C22×C43semidirect
819. #398C22×C43semidirect
820. #398C22×C43semidirect
821. #398C22×C43semidirect
828. #397C22×C43semidirect
829. #397C22×C43semidirect
830. #397C22×C43semidirect
831. #397C22×C43semidirect
835. #396C22×C43semidirect
836. #396C22×C43semidirect
837. #395C22×C43semidirect
838. #395C22×C43semidirect
843. #391C22×C43semidirect
846. #389C22×C43semidirect
847. #389C22×C43semidirect
848. #389C22×C43semidirect
849. #389C22×C43semidirect
850. #389C22×C43semidirect
851. #389C22×C43semidirect
852. #389C22×C43semidirect
853. #389C22×C43semidirect
854. #389C22×C43semidirect
866. #388C22×C43semidirect
867. #388C22×C43semidirect
868. #388C22×C43semidirect
869. #388C22×C43semidirect
870. #387C22×C43semidirect
871. #387C22×C43semidirect
872. #387C22×C43semidirect
873. #387C22×C43semidirect
874. #387C22×C43semidirect
875. #387C22×C43semidirect
876. #387C22×C43semidirect
877. #387C22×C43semidirect
878. #387C22×C43semidirect
910. #385C22×C43semidirect
911. #385C22×C43semidirect
912. #385C22×C43semidirect
913. #384C22×C43semidirect
914. #384C22×C43semidirect
915. #382C22×C43semidirect
916. #382C22×C43semidirect
931. C43#36792direct (N × H)

Maximal subgroups

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

subgroupindex
C43×#28492
C43×#28482
C43×#28072
C43×#27962
C43×#27902
C43×#27872
C43×#27822
C43×#27812
C43×#27712
C43×#27652
C43×#27442
C43×#27322
C43×#27242
C43×#27202
C43×#27182
C43×#26942
C43×#26892
C43×#26802
C43×#26462
C43×#26432
C43×#24982
C43×#24822
C43×#24802
C43×#24732
C43×#24492
C43×#24382
C43×#24182
C43×#24112
C43×#23222
C43×#23172
C2×C43×#3852
#3679243