Finite Group Databasebeta

← C43×#36796 #24956813

Subgroups — C43×#36796 #24956813

Order 11008.

1714 conjugacy classes of subgroups.

The subgroup lattice has 1452 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C43×#2852C211yesmaximal, characteristic, complemented
2C43×#2851C211yesmaximal, characteristic, complemented
3C43×#2808C211yesmaximal, characteristic, complemented
4C43×#2798C211yesmaximal, characteristic, complemented
5C43×#2796C211yesmaximal, characteristic, complemented
6C43×#2795C211yesmaximal, characteristic, complemented
7C43×#2793C211yesmaximal, characteristic, complemented
8C43×#2785C211yesmaximal, characteristic, complemented
9C43×#2783C211yesmaximal, characteristic, complemented
10C43×#2783C211yesmaximal, characteristic, complemented
11C43×#2781C211yesmaximal, characteristic, complemented
12C43×#2777C211yesmaximal, characteristic, complemented
13C43×#2775C211yesmaximal, characteristic, complemented
14C43×#2773C211yesmaximal, characteristic, complemented
15C43×#2727C211yesmaximal, characteristic, complemented
16C43×#2721C211yesmaximal, characteristic, complemented
17C43×#2718C211yesmaximal, characteristic, complemented
18C43×#2694C211yesmaximal, characteristic, complemented
19C43×#2626C211yesmaximal, characteristic, complemented
20C43×#2622C211yesmaximal, characteristic
21C43×#2505C211yesmaximal, characteristic, complemented
22C43×#2498C211yesmaximal, characteristic, complemented
23C43×#2482C211yesmaximal, characteristic, complemented
24C43×#2480C211yesmaximal, characteristic, complemented
25C43×#2450C211yesmaximal, characteristic, complemented
26C43×#2438C211yesmaximal, characteristic, complemented
27C43×#2418C211yesmaximal, characteristic
28C43×#2411C211yesmaximal, characteristic
29C43×#2322C211yesmaximal, characteristic, complemented
30C43×#2317C211yesmaximal, characteristic, complemented
31C2×C43×#388C211yesmaximal, characteristic, complemented
32C2×#126×C43C2211yescharacteristic
33C2×#126×C43C2211yescharacteristic, complemented
34C2×#125×C43C2211yescharacteristic, complemented
35C2×#123×C43C2211yescharacteristic
36C2×#123×C43C2211yescharacteristic
37C2×C22⋊Q8×C43C2211yescharacteristic
38C2×#120×C43C2211yescharacteristic
39C2×C4×D4×C43C2211yescharacteristic
40C2×#117×C43C2211yescharacteristic
41C2×#117×C43C2211yescharacteristic
42C22×C4⋊C4×C43C2211yescharacteristic
43C22×C22⋊C4×C43C2211yescharacteristic
44C22×C22⋊C4×C43C2211yescharacteristic
45C22×C22⋊C4×C43C2211yescharacteristic
46C22×C42×C43C2211yescharacteristic
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
57C43×#399C2211yescharacteristic
58C43×#399C2211yescharacteristic, complemented
59C43×#398C2211yescharacteristic, complemented
60C43×#398C2211yescharacteristic, complemented
61C43×#398C2211yescharacteristic, complemented
62C43×#398C2211yescharacteristic, complemented
63C43×#398C2211yescharacteristic, complemented
64C43×#397C2211yescharacteristic
65C43×#397C2211yescharacteristic
66C43×#397C2211yescharacteristic
67C43×#397C2211yescharacteristic
68C43×#397C2211yescharacteristic
69C43×#397C2211yescharacteristic
70C43×#397C2211yescharacteristic
71C43×#397C2211yescharacteristic
72C43×#397C2211yescharacteristic
73C43×#397C2211yescharacteristic
74C43×#397C2211yescharacteristic, complemented
75C43×#396C2211yescharacteristic
76C43×#396C2211yescharacteristic
77C43×#396C2211yescharacteristic
78C43×#396C2211yescharacteristic
79C43×#396C2211yescharacteristic
80C43×#396C2211yescharacteristic
81C43×#396C2211yescharacteristic
82C43×#396C2211yescharacteristic, complemented
83C43×#395C2211yescharacteristic, complemented
84C43×#394C2211yescharacteristic
85C43×#394C2211yescharacteristic
86C43×#394C2211yescharacteristic
87C43×#394C2211yescharacteristic
88C43×#394C2211yescharacteristic
89C43×#394C2211yescharacteristic
90C43×#394C2211yescharacteristic
91C43×#394C2211yescharacteristic
92C43×#393C2211yescharacteristic
93C43×#393C2211yescharacteristic
94C43×#393C2211yescharacteristic, complemented
95C43×#391C2211yescharacteristic, complemented
96C43×#391C2211yescharacteristic, complemented
97C43×#390C2211yescharacteristic
98C43×#390C2211yescharacteristic
99C43×#389C2211yescharacteristic, complemented
100C43×#389C2211yescharacteristic, 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, complemented
129C43×#388C2211yescharacteristic, complemented
130C43×#388C2211yescharacteristic, complemented
131C43×#388C2211yescharacteristic, complemented
132C43×#388C2211yescharacteristic, complemented
133C43×#388C2211yescharacteristic, complemented
134C43×#388C2211yescharacteristic, complemented
135C43×#387C2211yescharacteristic, complemented
136C43×#387C2211yescharacteristic, complemented
137C43×#387C2211yescharacteristic, complemented
138C43×#387C2211yescharacteristic, 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×#387C2211yescharacteristic, complemented
150C43×#387C2211yescharacteristic, complemented
151C43×#386C2211yescharacteristic
152C43×#386C2211yescharacteristic
153C43×#386C2211yescharacteristic
154C43×#386C2211yescharacteristic
155C43×#386C2211yescharacteristic
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×#383C2211yescharacteristic, complemented
172C43×#382C2211yescharacteristic, complemented
173C43×#382C2211yescharacteristic, complemented
174C43×#382C2211yescharacteristic, complemented
175C43×#382C2211yescharacteristic, complemented
176C43×#381C2211yescharacteristic
177C43×#380C2211yescharacteristic
178C43×#380C2211yescharacteristic
179C43×#380C2211yescharacteristic
180C43×#380C2211yescharacteristic, complemented
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×C43C2311yescharacteristic
193C23×C4×C43C2311yescharacteristic
194C23×C4×C43C2311yescharacteristic
195C23×C4×C43C2311yescharacteristic
196C23×C4×C43C2311yescharacteristic
197C23×C4×C43C2311yescharacteristic
198C23×C4×C43C2311yescharacteristic
199#126×C43—42no—
200#126×C43—42no—
201#125×C43—42no—
202#123×C43—24no—
203#123×C43—42no—
204C22⋊Q8×C43—42no—
205#120×C43—42no—
206C4×D4×C43—42no—
207#117×C43—24no—
208#117×C43—42no—
209C2×C4⋊C4×C43—42no—
210C2×C4⋊C4×C43C2311yescharacteristic
211C2×C4⋊C4×C43C2311yescharacteristic
212C2×C4⋊C4×C43C2311yescharacteristic
213C2×C4⋊C4×C43C2311yescharacteristic
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×C4⋊C4×C43C2311yescharacteristic
250C2×C22⋊C4×C43—24no—
251C2×C22⋊C4×C43—42no—
252C2×C22⋊C4×C43—42no—
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×C42×C43—42no—
298C2×C42×C43C2311yescharacteristic
299C2×C42×C43C2311yescharacteristic
300C2×C42×C43C2311yescharacteristic
301C2×C42×C43C2311yescharacteristic
302C2×C42×C43C2311yescharacteristic
303C2×C42×C43C2311yescharacteristic
304C2×C42×C43C2311yescharacteristic
305C2×C42×C43C2311yescharacteristic
306C2×C42×C43C2311yescharacteristic
307C2×C42×C43C2311yescharacteristic
308C2×C42×C43C2311yescharacteristic
309#95×C43C2311yescharacteristic
310#95×C43C2311yescharacteristic
311#95×C43C2311yescharacteristic
312#95×C43C2311yescharacteristic
313#95×C43C2311yescharacteristic
314#95×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—22no—
359C24×C43—22no—
360C24×C43—41no—
361C24×C43—41no—
362C24×C43—41no—
363C24×C43—41no—
364C24×C43C2411yescharacteristic
365C24×C43C2411yescharacteristic
366C24×C43C2411yescharacteristic
367C24×C43C2411yescharacteristic
368C2×Q8×C43—41no—
369C2×Q8×C43—41no—
370C2×Q8×C43—41no—
371C2×D4×C43—22no—
372C2×D4×C43—22no—
373C2×D4×C43—22no—
374C2×D4×C43—41no—
375C2×D4×C43—41no—
376C2×D4×C43—41no—
377C2×D4×C43—41no—
378C2×D4×C43—41no—
379C2×D4×C43—41no—
380C22×C4×C43—22no—
381C22×C4×C43—22no—
382C22×C4×C43—22no—
383C22×C4×C43—22no—
384C22×C4×C43—22no—
385C22×C4×C43—22no—
386C22×C4×C43—22no—
387C22×C4×C43—22no—
388C22×C4×C43—41no—
389C22×C4×C43—41no—
390C22×C4×C43—41no—
391C22×C4×C43—41no—
392C22×C4×C43—41no—
393C22×C4×C43—41no—
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#4114yes—
401C22×C4×C43C2411yescharacteristic
402C22×C4×C43C2411yescharacteristic
403C22×C4×C43C2411yescharacteristic
404C22×C4×C43C2411yescharacteristic
405C22×C4×C43C2411yescharacteristic
406C22×C4×C43C2411yescharacteristic
407C22×C4×C43C2411yescharacteristic
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
428C4⋊C4×C43—22no—
429C4⋊C4×C43—22no—
430C4⋊C4×C43—22no—
431C4⋊C4×C43—22no—
432C4⋊C4×C43—22no—
433C4⋊C4×C43—22no—
434C4⋊C4×C43—22no—
435C4⋊C4×C43—41no—
436C4⋊C4×C43—41no—
437C4⋊C4×C43—41no—
438C4⋊C4×C43—41no—
439C4⋊C4×C43—41no—
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—
468C22⋊C4×C43—22no—
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—
512C42×C43—22no—
513C42×C43—22no—
514C42×C43—22no—
515C42×C43—22no—
516C42×C43—41no—
517C42×C43—41no—
518C42×C43—41no—
519C42×C43—41no—
520C42×C43—41no—
521C42×C43—41no—
522C42×C43—41no—
523C23×C43—21no—
524C23×C43—21no—
525C23×C43—21no—
526C23×C43—21no—
527C23×C43—21no—
528C23×C43—21no—
529C23×C43—21no—
530C23×C43—21no—
531C23×C43—21no—
532C23×C43—21no—
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—44no—
549C23×C43—44no—
550C23×C43—44no—
551C23×C43—82no—
552C23×C43—82no—
553C23×C43—82no—
554C23×C43—82no—
555C23×C43C2×#4112yes—
556C23×C43H(5,𝔽2)12yes—
557C23×C432−1+412yes—
558C23×C43C2511yescharacteristic
559Q8×C43—82no—
560D4×C43—44no—
561D4×C43—82no—
562D4×C43—82no—
563C2×C4×C43—28no—
564C2×C4×C43—21no—
565C2×C4×C43—21no—
566C2×C4×C43—21no—
567C2×C4×C43—21no—
568C2×C4×C43—21no—
569C2×C4×C43—21no—
570C2×C4×C43—21no—
571C2×C4×C43—21no—
572C2×C4×C43—21no—
573C2×C4×C43—21no—
574C2×C4×C43—21no—
575C2×C4×C43—21no—
576C2×C4×C43—21no—
577C2×C4×C43—21no—
578C2×C4×C43—21no—
579C2×C4×C43—21no—
580C2×C4×C43—21no—
581C2×C4×C43—21no—
582C2×C4×C43—21no—
583C2×C4×C43—21no—
584C2×C4×C43—21no—
585C2×C4×C43—21no—
586C2×C4×C43—21no—
587C2×C4×C43—21no—
588C2×C4×C43—21no—
589C2×C4×C43—21no—
590C2×C4×C43—21no—
591C2×C4×C43—21no—
592C2×C4×C43—21no—
593C2×C4×C43—21no—
594C2×C4×C43—21no—
595C2×C4×C43—21no—
596C2×C4×C43—21no—
597C2×C4×C43—21no—
598C2×C4×C43—21no—
599C2×C4×C43—21no—
600C2×C4×C43—21no—
601C2×C4×C43—21no—
602C2×C4×C43—21no—
603C2×C4×C43—21no—
604C2×C4×C43—21no—
605C2×C4×C43—21no—
606C2×C4×C43—21no—
607C2×C4×C43—21no—
608C2×C4×C43—21no—
609C2×C4×C43—21no—
610C2×C4×C43—21no—
611C2×C4×C43—21no—
612C2×C4×C43—21no—
613C2×C4×C43—21no—
614C2×C4×C43—21no—
615C2×C4×C43—21no—
616C2×C4×C43—21no—
617C2×C4×C43—21no—
618C2×C4×C43—21no—
619C2×C4×C43—21no—
620C2×C4×C43—21no—
621C2×C4×C43—21no—
622C2×C4×C43—21no—
623C2×C4×C43—21no—
624C2×C4×C43—21no—
625C2×C4×C43—21no—
626C2×C4×C43—21no—
627C2×C4×C43—21no—
628C2×C4×C43—21no—
629C2×C4×C43—21no—
630C2×C4×C43—21no—
631C2×C4×C43—21no—
632C2×C4×C43—21no—
633C2×C4×C43—21no—
634C2×C4×C43—21no—
635C2×C4×C43—21no—
636C2×C4×C43—21no—
637C2×C4×C43—21no—
638C2×C4×C43—21no—
639C2×C4×C43—21no—
640C2×C4×C43—21no—
641C2×C4×C43—21no—
642C2×C4×C43—44no—
643C2×C4×C43—44no—
644C2×C4×C43—44no—
645C2×C4×C43—82no—
646C2×C4×C43—82no—
647C2×C4×C43—82no—
648C2×C4×C43C2×#4112yes—
649C2×C4×C43C2×#4112yes—
650C2×C4×C43H(5,𝔽2)12yes—
651#36796C4311yesmaximal, characteristic, direct product factor, Sylow
652C22×C43—22no—
653C22×C43—22no—
654C22×C43—22no—
655C22×C43—22no—
656C22×C43—22no—
657C22×C43—22no—
658C22×C43—41no—
659C22×C43—41no—
660C22×C43—41no—
661C22×C43—41no—
662C22×C43—41no—
663C22×C43—41no—
664C22×C43—41no—
665C22×C43—41no—
666C22×C43—41no—
667C22×C43—41no—
668C22×C43—41no—
669C22×C43—41no—
670C22×C43—41no—
671C22×C43—41no—
672C22×C43—41no—
673C22×C43—41no—
674C22×C43—41no—
675C22×C43—41no—
676C22×C43—41no—
677C22×C43—41no—
678C22×C43—41no—
679C22×C43—88no—
680C22×C43#53914yes—
681C22×C43C22×#4111yescharacteristic
682C22×C43C2×H(5,𝔽2)11yescharacteristic
683C22×C43C2×H(5,𝔽2)11yescharacteristic
684C22×C43C2×2−1+411yescharacteristic
685C22×C43#58511yescharacteristic
686C22×C43#58511yescharacteristic
687C22×C43#58511yescharacteristic
688C4×C43—22no—
689C4×C43—22no—
690C4×C43—22no—
691C4×C43—41no—
692C4×C43—41no—
693C4×C43—41no—
694C4×C43—41no—
695C4×C43—41no—
696C4×C43—41no—
697C4×C43—41no—
698C4×C43—41no—
699C4×C43—41no—
700C4×C43—41no—
701C4×C43—41no—
702C4×C43—41no—
703C4×C43—41no—
704C4×C43—41no—
705C4×C43—41no—
706C4×C43—41no—
707C4×C43—41no—
708C4×C43—41no—
709C4×C43—41no—
710C4×C43—41no—
711C4×C43—41no—
712C4×C43—41no—
713C4×C43—41no—
714C4×C43—41no—
715#2852C2×C4311yescharacteristic, complemented
716#2851C2×C4311yescharacteristic, complemented
717#2808C2×C4311yescharacteristic, complemented
718#2798C2×C4311yescharacteristic, complemented
719#2796C2×C4311yescharacteristic, complemented
720#2795C2×C4311yescharacteristic, complemented
721#2793C2×C4311yescharacteristic, complemented
722#2785C2×C4311yescharacteristic, complemented
723#2783C2×C4311yescharacteristic, complemented
724#2783C2×C4311yescharacteristic, complemented
725#2781C2×C4311yescharacteristic, complemented
726#2777C2×C4311yescharacteristic, complemented
727#2775C2×C4311yescharacteristic, complemented
728#2773C2×C4311yescharacteristic, complemented
729#2727C2×C4311yescharacteristic, complemented
730#2721C2×C4311yescharacteristic, complemented
731#2718C2×C4311yescharacteristic, complemented
732#2694C2×C4311yescharacteristic, complemented
733#2626C2×C4311yescharacteristic, complemented
734#2622C2×C4311yescharacteristic
735#2505C2×C4311yescharacteristic, complemented
736#2498C2×C4311yescharacteristic, complemented
737#2482C2×C4311yescharacteristic, complemented
738#2480C2×C4311yescharacteristic, complemented
739#2450C2×C4311yescharacteristic, complemented
740#2438C2×C4311yescharacteristic, complemented
741#2418C2×C4311yescharacteristic
742#2411C2×C4311yescharacteristic
743#2322C2×C4311yescharacteristic, complemented
744#2317C2×C4311yescharacteristic, complemented
745C2×#388C2×C4311yescharacteristic, complemented
746C2×C43—24no—
747C2×C43—81no—
748C2×C43—81no—
749C2×C43—81no—
750C2×C43C2×#53911yescharacteristic
751C2×C43#349311yescharacteristic
752C2×C43#350611yescharacteristic
753C2×C43#353511yescharacteristic
754C2×C43#354211yescharacteristic
755C2×C43#354511yescharacteristic
756C2×C43#356411yescharacteristic
757C2×#126C22×C4311yescharacteristic
758C2×#126C22×C4311yescharacteristic, complemented
759C2×#125C22×C4311yescharacteristic, complemented
760C2×#123C22×C4311yescharacteristic
761C2×#123C22×C4311yescharacteristic
762C2×C22⋊Q8C22×C4311yescharacteristic
763C2×#120C22×C4311yescharacteristic
764C2×C4×D4C22×C4311yescharacteristic
765C2×#117C22×C4311yescharacteristic
766C2×#117C22×C4311yescharacteristic
767C22×C4⋊C4C22×C4311yescharacteristic
768C22×C22⋊C4C22×C4311yescharacteristic
769C22×C22⋊C4C22×C4311yescharacteristic
770C22×C22⋊C4C22×C4311yescharacteristic
771C22×C42C22×C4311yescharacteristic
772#400C22×C4311yescharacteristic, complemented
773#400C22×C4311yescharacteristic, complemented
774#400C22×C4311yescharacteristic, complemented
775#400C22×C4311yescharacteristic, complemented
776#400C22×C4311yescharacteristic, complemented
777#400C22×C4311yescharacteristic, complemented
778#399C22×C4311yescharacteristic
779#399C22×C4311yescharacteristic
780#399C22×C4311yescharacteristic
781#399C22×C4311yescharacteristic
782#399C22×C4311yescharacteristic
783#399C22×C4311yescharacteristic, complemented
784#398C22×C4311yescharacteristic, complemented
785#398C22×C4311yescharacteristic, complemented
786#398C22×C4311yescharacteristic, complemented
787#398C22×C4311yescharacteristic, complemented
788#398C22×C4311yescharacteristic, complemented
789#397C22×C4311yescharacteristic
790#397C22×C4311yescharacteristic
791#397C22×C4311yescharacteristic
792#397C22×C4311yescharacteristic
793#397C22×C4311yescharacteristic
794#397C22×C4311yescharacteristic
795#397C22×C4311yescharacteristic
796#397C22×C4311yescharacteristic
797#397C22×C4311yescharacteristic
798#397C22×C4311yescharacteristic
799#397C22×C4311yescharacteristic, complemented
800#396C22×C4311yescharacteristic
801#396C22×C4311yescharacteristic
802#396C22×C4311yescharacteristic
803#396C22×C4311yescharacteristic
804#396C22×C4311yescharacteristic
805#396C22×C4311yescharacteristic
806#396C22×C4311yescharacteristic
807#396C22×C4311yescharacteristic, complemented
808#395C22×C4311yescharacteristic, complemented
809#394C22×C4311yescharacteristic
810#394C22×C4311yescharacteristic
811#394C22×C4311yescharacteristic
812#394C22×C4311yescharacteristic
813#394C22×C4311yescharacteristic
814#394C22×C4311yescharacteristic
815#394C22×C4311yescharacteristic
816#394C22×C4311yescharacteristic
817#393C22×C4311yescharacteristic
818#393C22×C4311yescharacteristic
819#393C22×C4311yescharacteristic, complemented
820#391C22×C4311yescharacteristic, complemented
821#391C22×C4311yescharacteristic, complemented
822#390C22×C4311yescharacteristic
823#390C22×C4311yescharacteristic
824#389C22×C4311yescharacteristic, complemented
825#389C22×C4311yescharacteristic, complemented
826#389C22×C4311yescharacteristic, complemented
827#389C22×C4311yescharacteristic, complemented
828#389C22×C4311yescharacteristic, complemented
829#389C22×C4311yescharacteristic, complemented
830#389C22×C4311yescharacteristic, complemented
831#389C22×C4311yescharacteristic, complemented
832#389C22×C4311yescharacteristic, complemented
833#389C22×C4311yescharacteristic, complemented
834#388C22×C4311yescharacteristic
835#388C22×C4311yescharacteristic
836#388C22×C4311yescharacteristic
837#388C22×C4311yescharacteristic
838#388C22×C4311yescharacteristic
839#388C22×C4311yescharacteristic
840#388C22×C4311yescharacteristic
841#388C22×C4311yescharacteristic
842#388C22×C4311yescharacteristic
843#388C22×C4311yescharacteristic
844#388C22×C4311yescharacteristic
845#388C22×C4311yescharacteristic
846#388C22×C4311yescharacteristic
847#388C22×C4311yescharacteristic
848#388C22×C4311yescharacteristic
849#388C22×C4311yescharacteristic
850#388C22×C4311yescharacteristic
851#388C22×C4311yescharacteristic
852#388C22×C4311yescharacteristic
853#388C22×C4311yescharacteristic, complemented
854#388C22×C4311yescharacteristic, complemented
855#388C22×C4311yescharacteristic, complemented
856#388C22×C4311yescharacteristic, complemented
857#388C22×C4311yescharacteristic, complemented
858#388C22×C4311yescharacteristic, complemented
859#388C22×C4311yescharacteristic, complemented
860#387C22×C4311yescharacteristic, complemented
861#387C22×C4311yescharacteristic, complemented
862#387C22×C4311yescharacteristic, complemented
863#387C22×C4311yescharacteristic, complemented
864#387C22×C4311yescharacteristic, complemented
865#387C22×C4311yescharacteristic, complemented
866#387C22×C4311yescharacteristic, complemented
867#387C22×C4311yescharacteristic, complemented
868#387C22×C4311yescharacteristic, complemented
869#387C22×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#386C22×C4311yescharacteristic
877#386C22×C4311yescharacteristic
878#386C22×C4311yescharacteristic
879#386C22×C4311yescharacteristic
880#386C22×C4311yescharacteristic
881#385C22×C4311yescharacteristic
882#385C22×C4311yescharacteristic
883#385C22×C4311yescharacteristic
884#385C22×C4311yescharacteristic
885#385C22×C4311yescharacteristic
886#385C22×C4311yescharacteristic
887#385C22×C4311yescharacteristic
888#385C22×C4311yescharacteristic
889#385C22×C4311yescharacteristic
890#385C22×C4311yescharacteristic
891#385C22×C4311yescharacteristic, complemented
892#385C22×C4311yescharacteristic, complemented
893#385C22×C4311yescharacteristic, complemented
894#384C22×C4311yescharacteristic, complemented
895#384C22×C4311yescharacteristic, complemented
896#383C22×C4311yescharacteristic, complemented
897#382C22×C4311yescharacteristic, complemented
898#382C22×C4311yescharacteristic, complemented
899#382C22×C4311yescharacteristic, complemented
900#382C22×C4311yescharacteristic, complemented
901#381C22×C4311yescharacteristic
902#380C22×C4311yescharacteristic
903#380C22×C4311yescharacteristic
904#380C22×C4311yescharacteristic
905#380C22×C4311yescharacteristic, complemented
906#379C22×C4311yescharacteristic
907#379C22×C4311yescharacteristic
908#379C22×C4311yescharacteristic
909C4×C22⋊C4C22×C4311yescharacteristic
910C2×#95C22×C4311yescharacteristic
911C2×#95C22×C4311yescharacteristic
912C43#3679611yescharacteristic, direct product factor, Sylow
913C25C23×C4311yescharacteristic
914C22×Q8C23×C4311yescharacteristic
915C22×D4C23×C4311yescharacteristic
916C22×D4C23×C4311yescharacteristic
917C22×D4C23×C4311yescharacteristic
918C23×C4C23×C4311yescharacteristic
919C23×C4C23×C4311yescharacteristic
920C23×C4C23×C4311yescharacteristic
921C23×C4C23×C4311yescharacteristic
922C23×C4C23×C4311yescharacteristic
923C23×C4C23×C4311yescharacteristic
924C23×C4C23×C4311yescharacteristic
925#126—42no—
926#126—42no—
927#125—42no—
928#123—24no—
929#123—42no—
930C22⋊Q8—42no—
931#120—42no—
932C4×D4—42no—
933#117—24no—
934#117—42no—
935C2×C4⋊C4—42no—
936C2×C4⋊C4C23×C4311yescharacteristic
937C2×C4⋊C4C23×C4311yescharacteristic
938C2×C4⋊C4C23×C4311yescharacteristic
939C2×C4⋊C4C23×C4311yescharacteristic
940C2×C4⋊C4C23×C4311yescharacteristic
941C2×C4⋊C4C23×C4311yescharacteristic
942C2×C4⋊C4C23×C4311yescharacteristic
943C2×C4⋊C4C23×C4311yescharacteristic
944C2×C4⋊C4C23×C4311yescharacteristic
945C2×C4⋊C4C23×C4311yescharacteristic
946C2×C4⋊C4C23×C4311yescharacteristic
947C2×C4⋊C4C23×C4311yescharacteristic
948C2×C4⋊C4C23×C4311yescharacteristic
949C2×C4⋊C4C23×C4311yescharacteristic
950C2×C4⋊C4C23×C4311yescharacteristic
951C2×C4⋊C4C23×C4311yescharacteristic
952C2×C4⋊C4C23×C4311yescharacteristic
953C2×C4⋊C4C23×C4311yescharacteristic
954C2×C4⋊C4C23×C4311yescharacteristic
955C2×C4⋊C4C23×C4311yescharacteristic
956C2×C4⋊C4C23×C4311yescharacteristic
957C2×C4⋊C4C23×C4311yescharacteristic
958C2×C4⋊C4C23×C4311yescharacteristic
959C2×C4⋊C4C23×C4311yescharacteristic
960C2×C4⋊C4C23×C4311yescharacteristic
961C2×C4⋊C4C23×C4311yescharacteristic
962C2×C4⋊C4C23×C4311yescharacteristic
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×C22⋊C4—24no—
977C2×C22⋊C4—42no—
978C2×C22⋊C4—42no—
979C2×C22⋊C4C23×C4311yescharacteristic
980C2×C22⋊C4C23×C4311yescharacteristic
981C2×C22⋊C4C23×C4311yescharacteristic
982C2×C22⋊C4C23×C4311yescharacteristic
983C2×C22⋊C4C23×C4311yescharacteristic
984C2×C22⋊C4C23×C4311yescharacteristic
985C2×C22⋊C4C23×C4311yescharacteristic
986C2×C22⋊C4C23×C4311yescharacteristic
987C2×C22⋊C4C23×C4311yescharacteristic
988C2×C22⋊C4C23×C4311yescharacteristic
989C2×C22⋊C4C23×C4311yescharacteristic
990C2×C22⋊C4C23×C4311yescharacteristic
991C2×C22⋊C4C23×C4311yescharacteristic
992C2×C22⋊C4C23×C4311yescharacteristic
993C2×C22⋊C4C23×C4311yescharacteristic
994C2×C22⋊C4C23×C4311yescharacteristic
995C2×C22⋊C4C23×C4311yescharacteristic
996C2×C22⋊C4C23×C4311yescharacteristic
997C2×C22⋊C4C23×C4311yescharacteristic
998C2×C22⋊C4C23×C4311yescharacteristic
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×C42—42no—
1024C2×C42C23×C4311yescharacteristic
1025C2×C42C23×C4311yescharacteristic
1026C2×C42C23×C4311yescharacteristic
1027C2×C42C23×C4311yescharacteristic
1028C2×C42C23×C4311yescharacteristic
1029C2×C42C23×C4311yescharacteristic
1030C2×C42C23×C4311yescharacteristic
1031C2×C42C23×C4311yescharacteristic
1032C2×C42C23×C4311yescharacteristic
1033C2×C42C23×C4311yescharacteristic
1034C2×C42C23×C4311yescharacteristic
1035#95C23×C4311yescharacteristic
1036#95C23×C4311yescharacteristic
1037#95C23×C4311yescharacteristic
1038#95C23×C4311yescharacteristic
1039#95C23×C4311yescharacteristic
1040#95C23×C4311yescharacteristic
1041#95C23×C4311yescharacteristic
1042#95C23×C4311yescharacteristic
1043#95C23×C4311yescharacteristic
1044#95C23×C4311yescharacteristic
1045#95C23×C4311yescharacteristic
1046#95C23×C4311yescharacteristic
1047#95C23×C4311yescharacteristic
1048#95C23×C4311yescharacteristic
1049#95C23×C4311yescharacteristic
1050#95C23×C4311yescharacteristic
1051#95C23×C4311yescharacteristic
1052#95C23×C4311yescharacteristic
1053#95C23×C4311yescharacteristic
1054#95C23×C4311yescharacteristic
1055#95C23×C4311yescharacteristic
1056#95C23×C4311yescharacteristic
1057#95C23×C4311yescharacteristic
1058#95C23×C4311yescharacteristic
1059#95C23×C4311yescharacteristic
1060#95C23×C4311yescharacteristic
1061#95C23×C4311yescharacteristic
1062#95C23×C4311yescharacteristic
1063#95C23×C4311yescharacteristic
1064#95C23×C4311yescharacteristic
1065#95C23×C4311yescharacteristic
1066#95C23×C4311yescharacteristic
1067#95C23×C4311yescharacteristic
1068#95C23×C4311yescharacteristic
1069#95C23×C4311yescharacteristic
1070#95C23×C4311yescharacteristic
1071#95C23×C4311yescharacteristic
1072#95C23×C4311yescharacteristic
1073#95C23×C4311yescharacteristic
1074#95C23×C4311yescharacteristic
1075#95C23×C4311yescharacteristic
1076#95C23×C4311yescharacteristic
1077#95C23×C4311yescharacteristic
1078#95C23×C4311yescharacteristic
1079#95C23×C4311yescharacteristic
1080#95C23×C4311yescharacteristic
1081#95C23×C4311yescharacteristic
1082#95C23×C4311yescharacteristic
1083C24—22no—
1084C24—22no—
1085C24—22no—
1086C24—41no—
1087C24—41no—
1088C24—41no—
1089C24—41no—
1090C24C24×C4311yescharacteristic
1091C24C24×C4311yescharacteristic
1092C24C24×C4311yescharacteristic
1093C24C24×C4311yescharacteristic
1094C2×Q8—41no—
1095C2×Q8—41no—
1096C2×Q8—41no—
1097C2×D4—22no—
1098C2×D4—22no—
1099C2×D4—22no—
1100C2×D4—41no—
1101C2×D4—41no—
1102C2×D4—41no—
1103C2×D4—41no—
1104C2×D4—41no—
1105C2×D4—41no—
1106C22×C4—22no—
1107C22×C4—22no—
1108C22×C4—22no—
1109C22×C4—22no—
1110C22×C4—22no—
1111C22×C4—22no—
1112C22×C4—22no—
1113C22×C4—22no—
1114C22×C4—41no—
1115C22×C4—41no—
1116C22×C4—41no—
1117C22×C4—41no—
1118C22×C4—41no—
1119C22×C4—41no—
1120C22×C4—41no—
1121C22×C4—41no—
1122C22×C4—41no—
1123C22×C4—41no—
1124C22×C4—41no—
1125C22×C4—41no—
1126C22×C4#41×C4314yes—
1127C22×C4C24×C4311yescharacteristic
1128C22×C4C24×C4311yescharacteristic
1129C22×C4C24×C4311yescharacteristic
1130C22×C4C24×C4311yescharacteristic
1131C22×C4C24×C4311yescharacteristic
1132C22×C4C24×C4311yescharacteristic
1133C22×C4C24×C4311yescharacteristic
1134C22×C4C24×C4311yescharacteristic
1135C22×C4C24×C4311yescharacteristic
1136C22×C4C24×C4311yescharacteristic
1137C22×C4C24×C4311yescharacteristic
1138C22×C4C24×C4311yescharacteristic
1139C22×C4C24×C4311yescharacteristic
1140C22×C4C24×C4311yescharacteristic
1141C22×C4C24×C4311yescharacteristic
1142C22×C4C24×C4311yescharacteristic
1143C22×C4C24×C4311yescharacteristic
1144C22×C4C24×C4311yescharacteristic
1145C22×C4C24×C4311yescharacteristic
1146C22×C4C24×C4311yescharacteristic
1147C22×C4C24×C4311yescharacteristic
1148C22×C4C24×C4311yescharacteristic
1149C22×C4C24×C4311yescharacteristic
1150C22×C4C24×C4311yescharacteristic
1151C22×C4C24×C4311yescharacteristic
1152C22×C4C24×C4311yescharacteristic
1153C22×C4C24×C4311yescharacteristic
1154C4⋊C4—22no—
1155C4⋊C4—22no—
1156C4⋊C4—22no—
1157C4⋊C4—22no—
1158C4⋊C4—22no—
1159C4⋊C4—22no—
1160C4⋊C4—22no—
1161C4⋊C4—41no—
1162C4⋊C4—41no—
1163C4⋊C4—41no—
1164C4⋊C4—41no—
1165C4⋊C4—41no—
1166C4⋊C4—41no—
1167C4⋊C4—41no—
1168C4⋊C4—41no—
1169C4⋊C4—41no—
1170C4⋊C4—41no—
1171C4⋊C4—41no—
1172C4⋊C4—41no—
1173C4⋊C4—41no—
1174C4⋊C4—41no—
1175C4⋊C4—41no—
1176C4⋊C4—41no—
1177C4⋊C4—41no—
1178C4⋊C4—41no—
1179C4⋊C4—41no—
1180C4⋊C4—41no—
1181C4⋊C4—41no—
1182C4⋊C4—41no—
1183C4⋊C4—41no—
1184C4⋊C4—41no—
1185C4⋊C4—41no—
1186C4⋊C4—41no—
1187C4⋊C4—41no—
1188C4⋊C4—41no—
1189C4⋊C4—41no—
1190C4⋊C4—41no—
1191C4⋊C4—41no—
1192C4⋊C4—41no—
1193C4⋊C4—41no—
1194C22⋊C4—22no—
1195C22⋊C4—22no—
1196C22⋊C4—22no—
1197C22⋊C4—22no—
1198C22⋊C4—22no—
1199C22⋊C4—22no—
1200C22⋊C4—22no—
1201C22⋊C4—22no—
1202C22⋊C4—22no—
1203C22⋊C4—22no—
1204C22⋊C4—22no—
1205C22⋊C4—22no—
1206C22⋊C4—22no—
1207C22⋊C4—22no—
1208C22⋊C4—22no—
1209C22⋊C4—22no—
1210C22⋊C4—41no—
1211C22⋊C4—41no—
1212C22⋊C4—41no—
1213C22⋊C4—41no—
1214C22⋊C4—41no—
1215C22⋊C4—41no—
1216C22⋊C4—41no—
1217C22⋊C4—41no—
1218C22⋊C4—41no—
1219C22⋊C4—41no—
1220C22⋊C4—41no—
1221C22⋊C4—41no—
1222C22⋊C4—41no—
1223C22⋊C4—41no—
1224C22⋊C4—41no—
1225C22⋊C4—41no—
1226C22⋊C4—41no—
1227C22⋊C4—41no—
1228C22⋊C4—41no—
1229C22⋊C4—41no—
1230C22⋊C4—41no—
1231C22⋊C4—41no—
1232C22⋊C4—41no—
1233C22⋊C4—41no—
1234C22⋊C4—41no—
1235C22⋊C4—41no—
1236C22⋊C4—41no—
1237C22⋊C4—41no—
1238C42—22no—
1239C42—22no—
1240C42—22no—
1241C42—22no—
1242C42—41no—
1243C42—41no—
1244C42—41no—
1245C42—41no—
1246C42—41no—
1247C42—41no—
1248C42—41no—
1249C23—21no—
1250C23—21no—
1251C23—21no—
1252C23—21no—
1253C23—21no—
1254C23—21no—
1255C23—21no—
1256C23—21no—
1257C23—21no—
1258C23—21no—
1259C23—21no—
1260C23—21no—
1261C23—21no—
1262C23—21no—
1263C23—21no—
1264C23—21no—
1265C23—21no—
1266C23—21no—
1267C23—21no—
1268C23—21no—
1269C23—21no—
1270C23—21no—
1271C23—21no—
1272C23—21no—
1273C23—21no—
1274C23—44no—
1275C23—44no—
1276C23—44no—
1277C23—82no—
1278C23—82no—
1279C23—82no—
1280C23—82no—
1281C23C2×#41×C4312yes—
1282C23H(5,𝔽2)×C4312yes—
1283C232−1+4×C4312yes—
1284C23C25×C4311yescharacteristic
1285Q8—82no—
1286D4—44no—
1287D4—82no—
1288D4—82no—
1289C2×C4—28no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—44no—
1369C2×C4—44no—
1370C2×C4—44no—
1371C2×C4—82no—
1372C2×C4—82no—
1373C2×C4—82no—
1374C2×C4C2×#41×C4312yes—
1375C2×C4C2×#41×C4312yes—
1376C2×C4H(5,𝔽2)×C4312yes—
1377C22—22no—
1378C22—22no—
1379C22—22no—
1380C22—22no—
1381C22—22no—
1382C22—22no—
1383C22—41no—
1384C22—41no—
1385C22—41no—
1386C22—41no—
1387C22—41no—
1388C22—41no—
1389C22—41no—
1390C22—41no—
1391C22—41no—
1392C22—41no—
1393C22—41no—
1394C22—41no—
1395C22—41no—
1396C22—41no—
1397C22—41no—
1398C22—41no—
1399C22—41no—
1400C22—41no—
1401C22—41no—
1402C22—41no—
1403C22—41no—
1404C22—88no—
1405C22C43×#53914yes—
1406C22C22×#41×C4311yescharacteristic
1407C22C2×H(5,𝔽2)×C4311yescharacteristic
1408C22C2×H(5,𝔽2)×C4311yescharacteristic
1409C22C2×2−1+4×C4311yescharacteristic
1410C22C43×#58511yescharacteristic
1411C22C43×#58511yescharacteristic
1412C22C43×#58511yescharacteristic
1413C4—22no—
1414C4—22no—
1415C4—22no—
1416C4—41no—
1417C4—41no—
1418C4—41no—
1419C4—41no—
1420C4—41no—
1421C4—41no—
1422C4—41no—
1423C4—41no—
1424C4—41no—
1425C4—41no—
1426C4—41no—
1427C4—41no—
1428C4—41no—
1429C4—41no—
1430C4—41no—
1431C4—41no—
1432C4—41no—
1433C4—41no—
1434C4—41no—
1435C4—41no—
1436C4—41no—
1437C4—41no—
1438C4—41no—
1439C4—41no—
1440C2—24no—
1441C2—81no—
1442C2—81no—
1443C2—81no—
1444C2C2×C43×#53911yescharacteristic
1445C2C43×#349311yescharacteristic
1446C2C43×#350611yescharacteristic
1447C2C43×#353511yescharacteristic
1448C2C43×#354211yescharacteristic
1449C2C43×#354511yescharacteristic
1450C2C43×#356411yescharacteristic
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
1. C43×#2852C2semidirect
2. C43×#2851C2semidirect
3. C43×#2808C2semidirect
4. C43×#2798C2semidirect
5. C43×#2796C2semidirect
6. C43×#2795C2semidirect
7. C43×#2793C2semidirect
8. C43×#2785C2semidirect
9. C43×#2783C2semidirect
10. C43×#2783C2semidirect
11. C43×#2781C2semidirect
12. C43×#2777C2semidirect
13. C43×#2775C2semidirect
14. C43×#2773C2semidirect
15. C43×#2727C2semidirect
16. C43×#2721C2semidirect
17. C43×#2718C2semidirect
18. C43×#2694C2semidirect
19. C43×#2626C2semidirect
21. C43×#2505C2semidirect
22. C43×#2498C2semidirect
23. C43×#2482C2semidirect
24. C43×#2480C2semidirect
25. C43×#2450C2semidirect
26. C43×#2438C2semidirect
29. C43×#2322C2semidirect
30. C43×#2317C2semidirect
31. C2×C43×#388C2semidirect
33. C2×#126×C43C22semidirect
34. C2×#125×C43C22semidirect
47. C43×#400C22semidirect
48. C43×#400C22semidirect
49. C43×#400C22semidirect
50. C43×#400C22semidirect
51. C43×#400C22semidirect
52. C43×#400C22semidirect
58. C43×#399C22semidirect
59. C43×#398C22semidirect
60. C43×#398C22semidirect
61. C43×#398C22semidirect
62. C43×#398C22semidirect
63. C43×#398C22semidirect
74. C43×#397C22semidirect
82. C43×#396C22semidirect
83. C43×#395C22semidirect
94. C43×#393C22semidirect
95. C43×#391C22semidirect
96. C43×#391C22semidirect
99. C43×#389C22semidirect
100. C43×#389C22semidirect
101. C43×#389C22semidirect
102. C43×#389C22semidirect
103. C43×#389C22semidirect
104. C43×#389C22semidirect
105. C43×#389C22semidirect
106. C43×#389C22semidirect
107. C43×#389C22semidirect
108. C43×#389C22semidirect
128. C43×#388C22semidirect
129. C43×#388C22semidirect
130. C43×#388C22semidirect
131. C43×#388C22semidirect
132. C43×#388C22semidirect
133. C43×#388C22semidirect
134. C43×#388C22semidirect
135. C43×#387C22semidirect
136. C43×#387C22semidirect
137. C43×#387C22semidirect
138. C43×#387C22semidirect
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
149. C43×#387C22semidirect
150. C43×#387C22semidirect
166. C43×#385C22semidirect
167. C43×#385C22semidirect
168. C43×#385C22semidirect
169. C43×#384C22semidirect
170. C43×#384C22semidirect
171. C43×#383C22semidirect
172. C43×#382C22semidirect
173. C43×#382C22semidirect
174. C43×#382C22semidirect
175. C43×#382C22semidirect
180. C43×#380C22semidirect
651. #36796C43direct (N × H)
715. #2852C2×C43semidirect
716. #2851C2×C43semidirect
717. #2808C2×C43semidirect
718. #2798C2×C43semidirect
719. #2796C2×C43semidirect
720. #2795C2×C43semidirect
721. #2793C2×C43semidirect
722. #2785C2×C43semidirect
723. #2783C2×C43semidirect
724. #2783C2×C43semidirect
725. #2781C2×C43semidirect
726. #2777C2×C43semidirect
727. #2775C2×C43semidirect
728. #2773C2×C43semidirect
729. #2727C2×C43semidirect
730. #2721C2×C43semidirect
731. #2718C2×C43semidirect
732. #2694C2×C43semidirect
733. #2626C2×C43semidirect
735. #2505C2×C43semidirect
736. #2498C2×C43semidirect
737. #2482C2×C43semidirect
738. #2480C2×C43semidirect
739. #2450C2×C43semidirect
740. #2438C2×C43semidirect
743. #2322C2×C43semidirect
744. #2317C2×C43semidirect
745. C2×#388C2×C43semidirect
758. C2×#126C22×C43semidirect
759. C2×#125C22×C43semidirect
772. #400C22×C43semidirect
773. #400C22×C43semidirect
774. #400C22×C43semidirect
775. #400C22×C43semidirect
776. #400C22×C43semidirect
777. #400C22×C43semidirect
783. #399C22×C43semidirect
784. #398C22×C43semidirect
785. #398C22×C43semidirect
786. #398C22×C43semidirect
787. #398C22×C43semidirect
788. #398C22×C43semidirect
799. #397C22×C43semidirect
807. #396C22×C43semidirect
808. #395C22×C43semidirect
819. #393C22×C43semidirect
820. #391C22×C43semidirect
821. #391C22×C43semidirect
824. #389C22×C43semidirect
825. #389C22×C43semidirect
826. #389C22×C43semidirect
827. #389C22×C43semidirect
828. #389C22×C43semidirect
829. #389C22×C43semidirect
830. #389C22×C43semidirect
831. #389C22×C43semidirect
832. #389C22×C43semidirect
833. #389C22×C43semidirect
853. #388C22×C43semidirect
854. #388C22×C43semidirect
855. #388C22×C43semidirect
856. #388C22×C43semidirect
857. #388C22×C43semidirect
858. #388C22×C43semidirect
859. #388C22×C43semidirect
860. #387C22×C43semidirect
861. #387C22×C43semidirect
862. #387C22×C43semidirect
863. #387C22×C43semidirect
864. #387C22×C43semidirect
865. #387C22×C43semidirect
866. #387C22×C43semidirect
867. #387C22×C43semidirect
868. #387C22×C43semidirect
869. #387C22×C43semidirect
870. #387C22×C43semidirect
871. #387C22×C43semidirect
872. #387C22×C43semidirect
873. #387C22×C43semidirect
874. #387C22×C43semidirect
875. #387C22×C43semidirect
891. #385C22×C43semidirect
892. #385C22×C43semidirect
893. #385C22×C43semidirect
894. #384C22×C43semidirect
895. #384C22×C43semidirect
896. #383C22×C43semidirect
897. #382C22×C43semidirect
898. #382C22×C43semidirect
899. #382C22×C43semidirect
900. #382C22×C43semidirect
905. #380C22×C43semidirect
912. C43#36796direct (N × H)

Maximal subgroups

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

subgroupindex
C43×#28522
C43×#28512
C43×#28082
C43×#27982
C43×#27962
C43×#27952
C43×#27932
C43×#27852
C43×#27832
C43×#27812
C43×#27772
C43×#27752
C43×#27732
C43×#27272
C43×#27212
C43×#27182
C43×#26942
C43×#26262
C43×#26222
C43×#25052
C43×#24982
C43×#24822
C43×#24802
C43×#24502
C43×#24382
C43×#24182
C43×#24112
C43×#23222
C43×#23172
C2×C43×#3882
#3679643