Finite Group Databasebeta

← C43×#35054 #24955071

Subgroups — C43×#35054 #24955071

Order 11008.

2018 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×#2852C211yesmaximal, characteristic, complemented
2C43×#2851C211yesmaximal, characteristic, complemented
3C43×#2849C211yesmaximal, characteristic
4C43×#2848C211yesmaximal, characteristic, complemented
5C43×#2667C211yesmaximal, characteristic, complemented
6C43×#2663C211yesmaximal, characteristic, complemented
7C43×#2652C211yesmaximal, characteristic, complemented
8C43×#2649C211yesmaximal, characteristic, complemented
9C43×#2577C211yesmaximal, characteristic, complemented
10C43×#2575C211yesmaximal, characteristic, complemented
11C43×#2573C211yesmaximal, characteristic, complemented
12C43×#2560C211yesmaximal, characteristic, complemented
13C43×#2558C211yesmaximal, characteristic, complemented
14C43×#2556C211yesmaximal, characteristic, complemented
15C43×#2553C211yesmaximal, characteristic, complemented
16C43×#2553C211yesmaximal, characteristic, complemented
17C43×#2505C211yesmaximal, characteristic, complemented
18C43×#2498C211yesmaximal, characteristic, complemented
19C43×#2482C211yesmaximal, characteristic, complemented
20C43×#2480C211yesmaximal, characteristic, complemented
21C43×#2450C211yesmaximal, characteristic, complemented
22C43×#2438C211yesmaximal, characteristic, complemented
23C43×#2418C211yesmaximal, characteristic
24C43×#2411C211yesmaximal, characteristic
25C43×#2335C211yesmaximal, characteristic, complemented
26C43×#2335C211yesmaximal, characteristic, complemented
27C43×#2334C211yesmaximal, characteristic, complemented
28C43×#2332C211yesmaximal, characteristic, complemented
29C4×#123×C43C211yesmaximal, characteristic, complemented
30C43×#2296C211yesmaximal, characteristic, complemented
31C2×C4×C22⋊C4×C43C211yesmaximal, characteristic, complemented
32C24×C4×C43C2211yescharacteristic
33C2×#126×C43C2211yescharacteristic
34C2×#126×C43C2211yescharacteristic, complemented
35C2×#125×C43C2211yescharacteristic, complemented
36C2×#123×C43C2211yescharacteristic
37C2×#123×C43C2211yescharacteristic
38C2×#123×C43C2211yescharacteristic
39C2×#123×C43C2211yescharacteristic
40C2×C22⋊Q8×C43C2211yescharacteristic
41C2×C22⋊Q8×C43C2211yescharacteristic
42C2×C22⋊Q8×C43C2211yescharacteristic
43C2×#120×C43C2211yescharacteristic
44C2×C4×D4×C43C2211yescharacteristic
45C2×#117×C43C2211yescharacteristic
46C2×#117×C43C2211yescharacteristic
47C22×C22⋊C4×C43C2211yescharacteristic
48C22×C22⋊C4×C43C2211yescharacteristic
49C22×C42×C43C2211yescharacteristic
50C22×C42×C43C2211yescharacteristic
51C43×#400C2211yescharacteristic, complemented
52C43×#400C2211yescharacteristic, complemented
53C43×#400C2211yescharacteristic, complemented
54C43×#400C2211yescharacteristic, complemented
55C43×#400C2211yescharacteristic, complemented
56C43×#400C2211yescharacteristic, complemented
57C43×#399C2211yescharacteristic
58C43×#399C2211yescharacteristic
59C43×#399C2211yescharacteristic
60C43×#399C2211yescharacteristic, complemented
61C43×#398C2211yescharacteristic, complemented
62C43×#398C2211yescharacteristic, complemented
63C43×#398C2211yescharacteristic, complemented
64C43×#398C2211yescharacteristic, complemented
65C43×#398C2211yescharacteristic, complemented
66C43×#397C2211yescharacteristic
67C43×#397C2211yescharacteristic
68C43×#397C2211yescharacteristic
69C43×#397C2211yescharacteristic
70C43×#397C2211yescharacteristic
71C43×#397C2211yescharacteristic
72C43×#397C2211yescharacteristic, complemented
73C43×#396C2211yescharacteristic
74C43×#396C2211yescharacteristic
75C43×#396C2211yescharacteristic
76C43×#396C2211yescharacteristic, complemented
77C43×#395C2211yescharacteristic, complemented
78C43×#394C2211yescharacteristic
79C43×#394C2211yescharacteristic
80C43×#394C2211yescharacteristic
81C43×#394C2211yescharacteristic
82C43×#393C2211yescharacteristic, complemented
83C43×#391C2211yescharacteristic, complemented
84C43×#391C2211yescharacteristic, complemented
85C43×#390C2211yescharacteristic
86C43×#390C2211yescharacteristic
87C43×#389C2211yescharacteristic, complemented
88C43×#389C2211yescharacteristic, complemented
89C43×#389C2211yescharacteristic, complemented
90C43×#389C2211yescharacteristic, complemented
91C43×#389C2211yescharacteristic, complemented
92C43×#389C2211yescharacteristic, complemented
93C43×#389C2211yescharacteristic, complemented
94C43×#389C2211yescharacteristic, complemented
95C43×#388C2211yescharacteristic
96C43×#388C2211yescharacteristic
97C43×#388C2211yescharacteristic
98C43×#388C2211yescharacteristic
99C43×#388C2211yescharacteristic
100C43×#388C2211yescharacteristic
101C43×#388C2211yescharacteristic
102C43×#388C2211yescharacteristic
103C43×#388C2211yescharacteristic
104C43×#388C2211yescharacteristic
105C43×#388C2211yescharacteristic
106C43×#388C2211yescharacteristic, complemented
107C43×#388C2211yescharacteristic, complemented
108C43×#388C2211yescharacteristic, complemented
109C43×#388C2211yescharacteristic, complemented
110C43×#388C2211yescharacteristic, complemented
111C43×#388C2211yescharacteristic, complemented
112C43×#388C2211yescharacteristic, complemented
113C43×#387C2211yescharacteristic, complemented
114C43×#387C2211yescharacteristic, complemented
115C43×#387C2211yescharacteristic, complemented
116C43×#387C2211yescharacteristic, complemented
117C43×#387C2211yescharacteristic, complemented
118C43×#387C2211yescharacteristic, complemented
119C43×#387C2211yescharacteristic, complemented
120C43×#387C2211yescharacteristic, complemented
121C43×#387C2211yescharacteristic, complemented
122C43×#387C2211yescharacteristic, complemented
123C43×#387C2211yescharacteristic, complemented
124C43×#387C2211yescharacteristic, complemented
125C43×#387C2211yescharacteristic, complemented
126C43×#387C2211yescharacteristic, complemented
127C43×#387C2211yescharacteristic, complemented
128C43×#387C2211yescharacteristic, complemented
129C43×#386C2211yescharacteristic
130C43×#386C2211yescharacteristic
131C43×#386C2211yescharacteristic
132C43×#386C2211yescharacteristic
133C43×#386C2211yescharacteristic
134C43×#386C2211yescharacteristic
135C43×#386C2211yescharacteristic
136C43×#385C2211yescharacteristic
137C43×#385C2211yescharacteristic
138C43×#385C2211yescharacteristic
139C43×#385C2211yescharacteristic
140C43×#385C2211yescharacteristic
141C43×#385C2211yescharacteristic
142C43×#385C2211yescharacteristic
143C43×#385C2211yescharacteristic
144C43×#385C2211yescharacteristic
145C43×#385C2211yescharacteristic
146C43×#385C2211yescharacteristic
147C43×#385C2211yescharacteristic
148C43×#385C2211yescharacteristic
149C43×#385C2211yescharacteristic
150C43×#385C2211yescharacteristic
151C43×#385C2211yescharacteristic
152C43×#385C2211yescharacteristic, complemented
153C43×#383C2211yescharacteristic, complemented
154C43×#382C2211yescharacteristic, complemented
155C43×#382C2211yescharacteristic, complemented
156C43×#381C2211yescharacteristic
157C43×#381C2211yescharacteristic
158C43×#381C2211yescharacteristic
159C43×#380C2211yescharacteristic
160C43×#380C2211yescharacteristic
161C43×#380C2211yescharacteristic
162C43×#380C2211yescharacteristic
163C43×#380C2211yescharacteristic
164C43×#380C2211yescharacteristic, complemented
165C43×#379C2211yescharacteristic
166C43×#379C2211yescharacteristic
167C43×#379C2211yescharacteristic
168C4×C4⋊C4×C43C2211yescharacteristic, complemented
169C4×C4⋊C4×C43C2211yescharacteristic, complemented
170C4×C4⋊C4×C43C2211yescharacteristic, complemented
171C4×C4⋊C4×C43C2211yescharacteristic, complemented
172C4×C4⋊C4×C43C2211yescharacteristic, complemented
173C4×C4⋊C4×C43C2211yescharacteristic, complemented
174C4×C22⋊C4×C43C2211yescharacteristic
175C4×C22⋊C4×C43C2211yescharacteristic
176C4×C22⋊C4×C43C2211yescharacteristic
177C4×C22⋊C4×C43C2211yescharacteristic
178C4×C22⋊C4×C43C2211yescharacteristic
179C4×C22⋊C4×C43C2211yescharacteristic
180C4×C22⋊C4×C43C2211yescharacteristic
181C4×C22⋊C4×C43C2211yescharacteristic
182C4×C22⋊C4×C43C2211yescharacteristic
183C4×C22⋊C4×C43C2211yescharacteristic, complemented
184C4×C22⋊C4×C43C2211yescharacteristic, complemented
185C2×#95×C43C2211yescharacteristic
186C2×#95×C43C2211yescharacteristic
187C25×C43C2311yescharacteristic
188C22×Q8×C43C2311yescharacteristic
189C22×D4×C43C2311yescharacteristic
190C22×D4×C43C2311yescharacteristic
191C22×D4×C43C2311yescharacteristic
192C23×C4×C43—24no—
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—24no—
207#126×C43—42no—
208#125×C43—42no—
209#123×C43—24no—
210#123×C43—24no—
211#123×C43—24no—
212#123×C43—42no—
213C22⋊Q8×C43—24no—
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×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×C4⋊C4×C43C2311yescharacteristic
251C2×C4⋊C4×C43C2311yescharacteristic
252C2×C4⋊C4×C43C2311yescharacteristic
253C2×C4⋊C4×C43C2311yescharacteristic
254C2×C4⋊C4×C43C2311yescharacteristic
255C2×C4⋊C4×C43C2311yescharacteristic
256C2×C22⋊C4×C43—24no—
257C2×C22⋊C4×C43—24no—
258C2×C22⋊C4×C43C2311yescharacteristic
259C2×C22⋊C4×C43C2311yescharacteristic
260C2×C22⋊C4×C43C2311yescharacteristic
261C2×C22⋊C4×C43C2311yescharacteristic
262C2×C22⋊C4×C43C2311yescharacteristic
263C2×C22⋊C4×C43C2311yescharacteristic
264C2×C22⋊C4×C43C2311yescharacteristic
265C2×C22⋊C4×C43C2311yescharacteristic
266C2×C22⋊C4×C43C2311yescharacteristic
267C2×C22⋊C4×C43C2311yescharacteristic
268C2×C22⋊C4×C43C2311yescharacteristic
269C2×C22⋊C4×C43C2311yescharacteristic
270C2×C22⋊C4×C43C2311yescharacteristic
271C2×C22⋊C4×C43C2311yescharacteristic
272C2×C22⋊C4×C43C2311yescharacteristic
273C2×C22⋊C4×C43C2311yescharacteristic
274C2×C22⋊C4×C43C2311yescharacteristic
275C2×C22⋊C4×C43C2311yescharacteristic
276C2×C22⋊C4×C43C2311yescharacteristic
277C2×C22⋊C4×C43C2311yescharacteristic
278C2×C22⋊C4×C43C2311yescharacteristic
279C2×C22⋊C4×C43C2311yescharacteristic
280C2×C22⋊C4×C43C2311yescharacteristic
281C2×C22⋊C4×C43C2311yescharacteristic
282C2×C22⋊C4×C43C2311yescharacteristic
283C2×C22⋊C4×C43C2311yescharacteristic
284C2×C22⋊C4×C43C2311yescharacteristic
285C2×C22⋊C4×C43C2311yescharacteristic
286C2×C22⋊C4×C43C2311yescharacteristic
287C2×C22⋊C4×C43C2311yescharacteristic
288C2×C22⋊C4×C43C2311yescharacteristic
289C2×C22⋊C4×C43C2311yescharacteristic
290C2×C22⋊C4×C43C2311yescharacteristic
291C2×C22⋊C4×C43C2311yescharacteristic
292C2×C22⋊C4×C43C2311yescharacteristic
293C2×C22⋊C4×C43C2311yescharacteristic
294C2×C22⋊C4×C43C2311yescharacteristic
295C2×C22⋊C4×C43C2311yescharacteristic
296C2×C22⋊C4×C43C2311yescharacteristic
297C2×C22⋊C4×C43C2311yescharacteristic
298C2×C42×C43—42no—
299C2×C42×C43—42no—
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
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—22no—
399C22×C4×C43—22no—
400C22×C4×C43—22no—
401C22×C4×C43—22no—
402C22×C4×C43—22no—
403C22×C4×C43—22no—
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—416no—
418C22×C4×C43#4114yes—
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—22no—
456C4⋊C4×C43—22no—
457C4⋊C4×C43—22no—
458C4⋊C4×C43—22no—
459C4⋊C4×C43—22no—
460C4⋊C4×C43—22no—
461C4⋊C4×C43—22no—
462C4⋊C4×C43—22no—
463C4⋊C4×C43—22no—
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—
483C22⋊C4×C43—22no—
484C22⋊C4×C43—22no—
485C22⋊C4×C43—22no—
486C22⋊C4×C43—22no—
487C22⋊C4×C43—22no—
488C22⋊C4×C43—22no—
489C22⋊C4×C43—22no—
490C22⋊C4×C43—22no—
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—41no—
510C22⋊C4×C43—41no—
511C22⋊C4×C43—41no—
512C22⋊C4×C43—41no—
513C22⋊C4×C43—41no—
514C22⋊C4×C43—41no—
515C22⋊C4×C43—41no—
516C22⋊C4×C43—41no—
517C22⋊C4×C43—41no—
518C22⋊C4×C43—41no—
519C22⋊C4×C43—41no—
520C22⋊C4×C43—41no—
521C22⋊C4×C43—41no—
522C22⋊C4×C43#4114yes—
523C42×C43—22no—
524C42×C43—22no—
525C42×C43—22no—
526C42×C43—22no—
527C42×C43—22no—
528C42×C43—41no—
529C42×C43—41no—
530C42×C43—41no—
531C42×C43—41no—
532C42×C43—41no—
533C42×C43—41no—
534C42×C43—41no—
535C42×C43—41no—
536C42×C43—41no—
537C42×C43—41no—
538C23×C43—21no—
539C23×C43—21no—
540C23×C43—21no—
541C23×C43—21no—
542C23×C43—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×C43C2×#4112yes—
570C23×C43C2×#4112yes—
571C23×C43H(5,𝔽2)12yes—
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—28no—
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—44no—
655C2×C4×C43—44no—
656C2×C4×C43—44no—
657C2×C4×C43—44no—
658C2×C4×C43—44no—
659C2×C4×C43—44no—
660C2×C4×C43—44no—
661C2×C4×C43—44no—
662C2×C4×C43—82no—
663C2×C4×C43C2×#4112yes—
664C2×C4×C43C2×#4112yes—
665C2×C4×C43C2×#4112yes—
666C2×C4×C43C2×#4112yes—
667C2×C4×C43C2×#4112yes—
668C2×C4×C43C2×#4112yes—
669C2×C4×C43H(5,𝔽2)12yes—
670#35054C4311yesmaximal, 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×C43C22×#4111yescharacteristic
702C22×C43C22×#4111yescharacteristic
703C22×C43C2×H(5,𝔽2)11yescharacteristic
704C22×C43C2×H(5,𝔽2)11yescharacteristic
705C22×C43C2×2−1+411yescharacteristic
706C22×C43#58511yescharacteristic
707C4×C43—22no—
708C4×C43—22no—
709C4×C43—22no—
710C4×C43—22no—
711C4×C43—22no—
712C4×C43—22no—
713C4×C43—22no—
714C4×C43—41no—
715C4×C43—41no—
716C4×C43—41no—
717C4×C43—41no—
718C4×C43—41no—
719C4×C43—41no—
720C4×C43—41no—
721C4×C43—41no—
722C4×C43—41no—
723C4×C43—41no—
724C4×C43—41no—
725C4×C43—41no—
726C4×C43—41no—
727C4×C43—41no—
728C4×C43—41no—
729C4×C43—41no—
730C4×C43—41no—
731C4×C43—41no—
732C4×C43—41no—
733C4×C43—41no—
734#2852C2×C4311yescharacteristic, complemented
735#2851C2×C4311yescharacteristic, complemented
736#2849C2×C4311yescharacteristic
737#2848C2×C4311yescharacteristic, complemented
738#2667C2×C4311yescharacteristic, complemented
739#2663C2×C4311yescharacteristic, complemented
740#2652C2×C4311yescharacteristic, complemented
741#2649C2×C4311yescharacteristic, complemented
742#2577C2×C4311yescharacteristic, complemented
743#2575C2×C4311yescharacteristic, complemented
744#2573C2×C4311yescharacteristic, complemented
745#2560C2×C4311yescharacteristic, complemented
746#2558C2×C4311yescharacteristic, complemented
747#2556C2×C4311yescharacteristic, complemented
748#2553C2×C4311yescharacteristic, complemented
749#2553C2×C4311yescharacteristic, complemented
750#2505C2×C4311yescharacteristic, complemented
751#2498C2×C4311yescharacteristic, complemented
752#2482C2×C4311yescharacteristic, complemented
753#2480C2×C4311yescharacteristic, complemented
754#2450C2×C4311yescharacteristic, complemented
755#2438C2×C4311yescharacteristic, complemented
756#2418C2×C4311yescharacteristic
757#2411C2×C4311yescharacteristic
758#2335C2×C4311yescharacteristic, complemented
759#2335C2×C4311yescharacteristic, complemented
760#2334C2×C4311yescharacteristic, complemented
761#2332C2×C4311yescharacteristic, complemented
762C4×#123C2×C4311yescharacteristic, complemented
763#2296C2×C4311yescharacteristic, complemented
764C2×C4×C22⋊C4C2×C4311yescharacteristic, complemented
765C2×C43—24no—
766C2×C43—42no—
767C2×C43—42no—
768C2×C43—81no—
769C2×C43#344411yescharacteristic
770C2×C43C2×#53911yescharacteristic
771C2×C43#346011yescharacteristic
772C2×C43#349011yescharacteristic
773C2×C43#349511yescharacteristic
774C2×C43#351311yescharacteristic
775C2×C43#352011yescharacteristic
776C24×C4C22×C4311yescharacteristic
777C2×#126C22×C4311yescharacteristic
778C2×#126C22×C4311yescharacteristic, complemented
779C2×#125C22×C4311yescharacteristic, complemented
780C2×#123C22×C4311yescharacteristic
781C2×#123C22×C4311yescharacteristic
782C2×#123C22×C4311yescharacteristic
783C2×#123C22×C4311yescharacteristic
784C2×C22⋊Q8C22×C4311yescharacteristic
785C2×C22⋊Q8C22×C4311yescharacteristic
786C2×C22⋊Q8C22×C4311yescharacteristic
787C2×#120C22×C4311yescharacteristic
788C2×C4×D4C22×C4311yescharacteristic
789C2×#117C22×C4311yescharacteristic
790C2×#117C22×C4311yescharacteristic
791C22×C22⋊C4C22×C4311yescharacteristic
792C22×C22⋊C4C22×C4311yescharacteristic
793C22×C42C22×C4311yescharacteristic
794C22×C42C22×C4311yescharacteristic
795#400C22×C4311yescharacteristic, complemented
796#400C22×C4311yescharacteristic, complemented
797#400C22×C4311yescharacteristic, complemented
798#400C22×C4311yescharacteristic, complemented
799#400C22×C4311yescharacteristic, complemented
800#400C22×C4311yescharacteristic, complemented
801#399C22×C4311yescharacteristic
802#399C22×C4311yescharacteristic
803#399C22×C4311yescharacteristic
804#399C22×C4311yescharacteristic, complemented
805#398C22×C4311yescharacteristic, complemented
806#398C22×C4311yescharacteristic, complemented
807#398C22×C4311yescharacteristic, complemented
808#398C22×C4311yescharacteristic, complemented
809#398C22×C4311yescharacteristic, complemented
810#397C22×C4311yescharacteristic
811#397C22×C4311yescharacteristic
812#397C22×C4311yescharacteristic
813#397C22×C4311yescharacteristic
814#397C22×C4311yescharacteristic
815#397C22×C4311yescharacteristic
816#397C22×C4311yescharacteristic, complemented
817#396C22×C4311yescharacteristic
818#396C22×C4311yescharacteristic
819#396C22×C4311yescharacteristic
820#396C22×C4311yescharacteristic, complemented
821#395C22×C4311yescharacteristic, complemented
822#394C22×C4311yescharacteristic
823#394C22×C4311yescharacteristic
824#394C22×C4311yescharacteristic
825#394C22×C4311yescharacteristic
826#393C22×C4311yescharacteristic, complemented
827#391C22×C4311yescharacteristic, complemented
828#391C22×C4311yescharacteristic, complemented
829#390C22×C4311yescharacteristic
830#390C22×C4311yescharacteristic
831#389C22×C4311yescharacteristic, complemented
832#389C22×C4311yescharacteristic, complemented
833#389C22×C4311yescharacteristic, complemented
834#389C22×C4311yescharacteristic, complemented
835#389C22×C4311yescharacteristic, complemented
836#389C22×C4311yescharacteristic, complemented
837#389C22×C4311yescharacteristic, complemented
838#389C22×C4311yescharacteristic, complemented
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, complemented
851#388C22×C4311yescharacteristic, complemented
852#388C22×C4311yescharacteristic, complemented
853#388C22×C4311yescharacteristic, complemented
854#388C22×C4311yescharacteristic, complemented
855#388C22×C4311yescharacteristic, complemented
856#388C22×C4311yescharacteristic, complemented
857#387C22×C4311yescharacteristic, complemented
858#387C22×C4311yescharacteristic, complemented
859#387C22×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#386C22×C4311yescharacteristic
874#386C22×C4311yescharacteristic
875#386C22×C4311yescharacteristic
876#386C22×C4311yescharacteristic
877#386C22×C4311yescharacteristic
878#386C22×C4311yescharacteristic
879#386C22×C4311yescharacteristic
880#385C22×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
892#385C22×C4311yescharacteristic
893#385C22×C4311yescharacteristic
894#385C22×C4311yescharacteristic
895#385C22×C4311yescharacteristic
896#385C22×C4311yescharacteristic, complemented
897#383C22×C4311yescharacteristic, complemented
898#382C22×C4311yescharacteristic, complemented
899#382C22×C4311yescharacteristic, complemented
900#381C22×C4311yescharacteristic
901#381C22×C4311yescharacteristic
902#381C22×C4311yescharacteristic
903#380C22×C4311yescharacteristic
904#380C22×C4311yescharacteristic
905#380C22×C4311yescharacteristic
906#380C22×C4311yescharacteristic
907#380C22×C4311yescharacteristic
908#380C22×C4311yescharacteristic, complemented
909#379C22×C4311yescharacteristic
910#379C22×C4311yescharacteristic
911#379C22×C4311yescharacteristic
912C4×C4⋊C4C22×C4311yescharacteristic, complemented
913C4×C4⋊C4C22×C4311yescharacteristic, complemented
914C4×C4⋊C4C22×C4311yescharacteristic, complemented
915C4×C4⋊C4C22×C4311yescharacteristic, complemented
916C4×C4⋊C4C22×C4311yescharacteristic, complemented
917C4×C4⋊C4C22×C4311yescharacteristic, complemented
918C4×C22⋊C4C22×C4311yescharacteristic
919C4×C22⋊C4C22×C4311yescharacteristic
920C4×C22⋊C4C22×C4311yescharacteristic
921C4×C22⋊C4C22×C4311yescharacteristic
922C4×C22⋊C4C22×C4311yescharacteristic
923C4×C22⋊C4C22×C4311yescharacteristic
924C4×C22⋊C4C22×C4311yescharacteristic
925C4×C22⋊C4C22×C4311yescharacteristic
926C4×C22⋊C4C22×C4311yescharacteristic
927C4×C22⋊C4C22×C4311yescharacteristic, complemented
928C4×C22⋊C4C22×C4311yescharacteristic, complemented
929C2×#95C22×C4311yescharacteristic
930C2×#95C22×C4311yescharacteristic
931C43#3505411yescharacteristic, direct product factor, Sylow
932C25C23×C4311yescharacteristic
933C22×Q8C23×C4311yescharacteristic
934C22×D4C23×C4311yescharacteristic
935C22×D4C23×C4311yescharacteristic
936C22×D4C23×C4311yescharacteristic
937C23×C4—24no—
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—24no—
952#126—42no—
953#125—42no—
954#123—24no—
955#123—24no—
956#123—24no—
957#123—42no—
958C22⋊Q8—24no—
959C22⋊Q8—42no—
960C22⋊Q8—42no—
961#120—42no—
962C4×D4—42no—
963#117—24no—
964#117—42no—
965C2×C4⋊C4C23×C4311yescharacteristic
966C2×C4⋊C4C23×C4311yescharacteristic
967C2×C4⋊C4C23×C4311yescharacteristic
968C2×C4⋊C4C23×C4311yescharacteristic
969C2×C4⋊C4C23×C4311yescharacteristic
970C2×C4⋊C4C23×C4311yescharacteristic
971C2×C4⋊C4C23×C4311yescharacteristic
972C2×C4⋊C4C23×C4311yescharacteristic
973C2×C4⋊C4C23×C4311yescharacteristic
974C2×C4⋊C4C23×C4311yescharacteristic
975C2×C4⋊C4C23×C4311yescharacteristic
976C2×C4⋊C4C23×C4311yescharacteristic
977C2×C4⋊C4C23×C4311yescharacteristic
978C2×C4⋊C4C23×C4311yescharacteristic
979C2×C4⋊C4C23×C4311yescharacteristic
980C2×C4⋊C4C23×C4311yescharacteristic
981C2×C4⋊C4C23×C4311yescharacteristic
982C2×C4⋊C4C23×C4311yescharacteristic
983C2×C4⋊C4C23×C4311yescharacteristic
984C2×C4⋊C4C23×C4311yescharacteristic
985C2×C4⋊C4C23×C4311yescharacteristic
986C2×C4⋊C4C23×C4311yescharacteristic
987C2×C4⋊C4C23×C4311yescharacteristic
988C2×C4⋊C4C23×C4311yescharacteristic
989C2×C4⋊C4C23×C4311yescharacteristic
990C2×C4⋊C4C23×C4311yescharacteristic
991C2×C4⋊C4C23×C4311yescharacteristic
992C2×C4⋊C4C23×C4311yescharacteristic
993C2×C4⋊C4C23×C4311yescharacteristic
994C2×C4⋊C4C23×C4311yescharacteristic
995C2×C4⋊C4C23×C4311yescharacteristic
996C2×C4⋊C4C23×C4311yescharacteristic
997C2×C4⋊C4C23×C4311yescharacteristic
998C2×C4⋊C4C23×C4311yescharacteristic
999C2×C4⋊C4C23×C4311yescharacteristic
1000C2×C4⋊C4C23×C4311yescharacteristic
1001C2×C22⋊C4—24no—
1002C2×C22⋊C4—24no—
1003C2×C22⋊C4C23×C4311yescharacteristic
1004C2×C22⋊C4C23×C4311yescharacteristic
1005C2×C22⋊C4C23×C4311yescharacteristic
1006C2×C22⋊C4C23×C4311yescharacteristic
1007C2×C22⋊C4C23×C4311yescharacteristic
1008C2×C22⋊C4C23×C4311yescharacteristic
1009C2×C22⋊C4C23×C4311yescharacteristic
1010C2×C22⋊C4C23×C4311yescharacteristic
1011C2×C22⋊C4C23×C4311yescharacteristic
1012C2×C22⋊C4C23×C4311yescharacteristic
1013C2×C22⋊C4C23×C4311yescharacteristic
1014C2×C22⋊C4C23×C4311yescharacteristic
1015C2×C22⋊C4C23×C4311yescharacteristic
1016C2×C22⋊C4C23×C4311yescharacteristic
1017C2×C22⋊C4C23×C4311yescharacteristic
1018C2×C22⋊C4C23×C4311yescharacteristic
1019C2×C22⋊C4C23×C4311yescharacteristic
1020C2×C22⋊C4C23×C4311yescharacteristic
1021C2×C22⋊C4C23×C4311yescharacteristic
1022C2×C22⋊C4C23×C4311yescharacteristic
1023C2×C22⋊C4C23×C4311yescharacteristic
1024C2×C22⋊C4C23×C4311yescharacteristic
1025C2×C22⋊C4C23×C4311yescharacteristic
1026C2×C22⋊C4C23×C4311yescharacteristic
1027C2×C22⋊C4C23×C4311yescharacteristic
1028C2×C22⋊C4C23×C4311yescharacteristic
1029C2×C22⋊C4C23×C4311yescharacteristic
1030C2×C22⋊C4C23×C4311yescharacteristic
1031C2×C22⋊C4C23×C4311yescharacteristic
1032C2×C22⋊C4C23×C4311yescharacteristic
1033C2×C22⋊C4C23×C4311yescharacteristic
1034C2×C22⋊C4C23×C4311yescharacteristic
1035C2×C22⋊C4C23×C4311yescharacteristic
1036C2×C22⋊C4C23×C4311yescharacteristic
1037C2×C22⋊C4C23×C4311yescharacteristic
1038C2×C22⋊C4C23×C4311yescharacteristic
1039C2×C22⋊C4C23×C4311yescharacteristic
1040C2×C22⋊C4C23×C4311yescharacteristic
1041C2×C22⋊C4C23×C4311yescharacteristic
1042C2×C22⋊C4C23×C4311yescharacteristic
1043C2×C42—42no—
1044C2×C42—42no—
1045C2×C42C23×C4311yescharacteristic
1046C2×C42C23×C4311yescharacteristic
1047C2×C42C23×C4311yescharacteristic
1048C2×C42C23×C4311yescharacteristic
1049C2×C42C23×C4311yescharacteristic
1050C2×C42C23×C4311yescharacteristic
1051C2×C42C23×C4311yescharacteristic
1052C2×C42C23×C4311yescharacteristic
1053C2×C42C23×C4311yescharacteristic
1054C2×C42C23×C4311yescharacteristic
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—22no—
1144C22×C4—22no—
1145C22×C4—22no—
1146C22×C4—22no—
1147C22×C4—22no—
1148C22×C4—22no—
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—416no—
1163C22×C4#41×C4314yes—
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—22no—
1201C4⋊C4—22no—
1202C4⋊C4—22no—
1203C4⋊C4—22no—
1204C4⋊C4—22no—
1205C4⋊C4—22no—
1206C4⋊C4—22no—
1207C4⋊C4—22no—
1208C4⋊C4—22no—
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—
1228C22⋊C4—22no—
1229C22⋊C4—22no—
1230C22⋊C4—22no—
1231C22⋊C4—22no—
1232C22⋊C4—22no—
1233C22⋊C4—22no—
1234C22⋊C4—22no—
1235C22⋊C4—22no—
1236C22⋊C4—22no—
1237C22⋊C4—22no—
1238C22⋊C4—22no—
1239C22⋊C4—22no—
1240C22⋊C4—22no—
1241C22⋊C4—22no—
1242C22⋊C4—22no—
1243C22⋊C4—22no—
1244C22⋊C4—22no—
1245C22⋊C4—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—41no—
1255C22⋊C4—41no—
1256C22⋊C4—41no—
1257C22⋊C4—41no—
1258C22⋊C4—41no—
1259C22⋊C4—41no—
1260C22⋊C4—41no—
1261C22⋊C4—41no—
1262C22⋊C4—41no—
1263C22⋊C4—41no—
1264C22⋊C4—41no—
1265C22⋊C4—41no—
1266C22⋊C4—41no—
1267C22⋊C4#41×C4314yes—
1268C42—22no—
1269C42—22no—
1270C42—22no—
1271C42—22no—
1272C42—22no—
1273C42—41no—
1274C42—41no—
1275C42—41no—
1276C42—41no—
1277C42—41no—
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—
1314C23C2×#41×C4312yes—
1315C23C2×#41×C4312yes—
1316C23H(5,𝔽2)×C4312yes—
1317C232−1+4×C4312yes—
1318C23C25×C4311yescharacteristic
1319Q8—82no—
1320D4—44no—
1321D4—82no—
1322D4—82no—
1323C2×C4—28no—
1324C2×C4—28no—
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—44no—
1400C2×C4—44no—
1401C2×C4—44no—
1402C2×C4—44no—
1403C2×C4—44no—
1404C2×C4—44no—
1405C2×C4—44no—
1406C2×C4—44no—
1407C2×C4—82no—
1408C2×C4C2×#41×C4312yes—
1409C2×C4C2×#41×C4312yes—
1410C2×C4C2×#41×C4312yes—
1411C2×C4C2×#41×C4312yes—
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
1445C22C22×#41×C4311yescharacteristic
1446C22C22×#41×C4311yescharacteristic
1447C22C2×H(5,𝔽2)×C4311yescharacteristic
1448C22C2×H(5,𝔽2)×C4311yescharacteristic
1449C22C2×2−1+4×C4311yescharacteristic
1450C22C43×#58511yescharacteristic
1451C4—22no—
1452C4—22no—
1453C4—22no—
1454C4—22no—
1455C4—22no—
1456C4—22no—
1457C4—22no—
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—
1482C2C43×#344411yescharacteristic
1483C2C2×C43×#53911yescharacteristic
1484C2C43×#346011yescharacteristic
1485C2C43×#349011yescharacteristic
1486C2C43×#349511yescharacteristic
1487C2C43×#351311yescharacteristic
1488C2C43×#352011yescharacteristic
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
4. C43×#2848C2semidirect
5. C43×#2667C2semidirect
6. C43×#2663C2semidirect
7. C43×#2652C2semidirect
8. C43×#2649C2semidirect
9. C43×#2577C2semidirect
10. C43×#2575C2semidirect
11. C43×#2573C2semidirect
12. C43×#2560C2semidirect
13. C43×#2558C2semidirect
14. C43×#2556C2semidirect
15. C43×#2553C2semidirect
16. C43×#2553C2semidirect
17. C43×#2505C2semidirect
18. C43×#2498C2semidirect
19. C43×#2482C2semidirect
20. C43×#2480C2semidirect
21. C43×#2450C2semidirect
22. C43×#2438C2semidirect
25. C43×#2335C2semidirect
26. C43×#2335C2semidirect
27. C43×#2334C2semidirect
28. C43×#2332C2semidirect
29. C4×#123×C43C2semidirect
30. C43×#2296C2semidirect
31. C2×C4×C22⋊C4×C43C2semidirect
34. C2×#126×C43C22semidirect
35. C2×#125×C43C22semidirect
51. C43×#400C22semidirect
52. C43×#400C22semidirect
53. C43×#400C22semidirect
54. C43×#400C22semidirect
55. C43×#400C22semidirect
56. C43×#400C22semidirect
60. C43×#399C22semidirect
61. C43×#398C22semidirect
62. C43×#398C22semidirect
63. C43×#398C22semidirect
64. C43×#398C22semidirect
65. C43×#398C22semidirect
72. C43×#397C22semidirect
76. C43×#396C22semidirect
77. C43×#395C22semidirect
82. C43×#393C22semidirect
83. C43×#391C22semidirect
84. C43×#391C22semidirect
87. C43×#389C22semidirect
88. C43×#389C22semidirect
89. C43×#389C22semidirect
90. C43×#389C22semidirect
91. C43×#389C22semidirect
92. C43×#389C22semidirect
93. C43×#389C22semidirect
94. C43×#389C22semidirect
106. C43×#388C22semidirect
107. C43×#388C22semidirect
108. C43×#388C22semidirect
109. C43×#388C22semidirect
110. C43×#388C22semidirect
111. C43×#388C22semidirect
112. C43×#388C22semidirect
113. C43×#387C22semidirect
114. C43×#387C22semidirect
115. C43×#387C22semidirect
116. C43×#387C22semidirect
117. C43×#387C22semidirect
118. C43×#387C22semidirect
119. C43×#387C22semidirect
120. C43×#387C22semidirect
121. C43×#387C22semidirect
122. C43×#387C22semidirect
123. C43×#387C22semidirect
124. C43×#387C22semidirect
125. C43×#387C22semidirect
126. C43×#387C22semidirect
127. C43×#387C22semidirect
128. C43×#387C22semidirect
152. C43×#385C22semidirect
153. C43×#383C22semidirect
154. C43×#382C22semidirect
155. C43×#382C22semidirect
164. C43×#380C22semidirect
168. C4×C4⋊C4×C43C22semidirect
169. C4×C4⋊C4×C43C22semidirect
170. C4×C4⋊C4×C43C22semidirect
171. C4×C4⋊C4×C43C22semidirect
172. C4×C4⋊C4×C43C22semidirect
173. C4×C4⋊C4×C43C22semidirect
183. C4×C22⋊C4×C43C22semidirect
184. C4×C22⋊C4×C43C22semidirect
670. #35054C43direct (N × H)
734. #2852C2×C43semidirect
735. #2851C2×C43semidirect
737. #2848C2×C43semidirect
738. #2667C2×C43semidirect
739. #2663C2×C43semidirect
740. #2652C2×C43semidirect
741. #2649C2×C43semidirect
742. #2577C2×C43semidirect
743. #2575C2×C43semidirect
744. #2573C2×C43semidirect
745. #2560C2×C43semidirect
746. #2558C2×C43semidirect
747. #2556C2×C43semidirect
748. #2553C2×C43semidirect
749. #2553C2×C43semidirect
750. #2505C2×C43semidirect
751. #2498C2×C43semidirect
752. #2482C2×C43semidirect
753. #2480C2×C43semidirect
754. #2450C2×C43semidirect
755. #2438C2×C43semidirect
758. #2335C2×C43semidirect
759. #2335C2×C43semidirect
760. #2334C2×C43semidirect
761. #2332C2×C43semidirect
762. C4×#123C2×C43semidirect
763. #2296C2×C43semidirect
764. C2×C4×C22⋊C4C2×C43semidirect
778. C2×#126C22×C43semidirect
779. C2×#125C22×C43semidirect
795. #400C22×C43semidirect
796. #400C22×C43semidirect
797. #400C22×C43semidirect
798. #400C22×C43semidirect
799. #400C22×C43semidirect
800. #400C22×C43semidirect
804. #399C22×C43semidirect
805. #398C22×C43semidirect
806. #398C22×C43semidirect
807. #398C22×C43semidirect
808. #398C22×C43semidirect
809. #398C22×C43semidirect
816. #397C22×C43semidirect
820. #396C22×C43semidirect
821. #395C22×C43semidirect
826. #393C22×C43semidirect
827. #391C22×C43semidirect
828. #391C22×C43semidirect
831. #389C22×C43semidirect
832. #389C22×C43semidirect
833. #389C22×C43semidirect
834. #389C22×C43semidirect
835. #389C22×C43semidirect
836. #389C22×C43semidirect
837. #389C22×C43semidirect
838. #389C22×C43semidirect
850. #388C22×C43semidirect
851. #388C22×C43semidirect
852. #388C22×C43semidirect
853. #388C22×C43semidirect
854. #388C22×C43semidirect
855. #388C22×C43semidirect
856. #388C22×C43semidirect
857. #387C22×C43semidirect
858. #387C22×C43semidirect
859. #387C22×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
896. #385C22×C43semidirect
897. #383C22×C43semidirect
898. #382C22×C43semidirect
899. #382C22×C43semidirect
908. #380C22×C43semidirect
912. C4×C4⋊C4C22×C43semidirect
913. C4×C4⋊C4C22×C43semidirect
914. C4×C4⋊C4C22×C43semidirect
915. C4×C4⋊C4C22×C43semidirect
916. C4×C4⋊C4C22×C43semidirect
917. C4×C4⋊C4C22×C43semidirect
927. C4×C22⋊C4C22×C43semidirect
928. C4×C22⋊C4C22×C43semidirect
931. C43#35054direct (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×#28492
C43×#28482
C43×#26672
C43×#26632
C43×#26522
C43×#26492
C43×#25772
C43×#25752
C43×#25732
C43×#25602
C43×#25582
C43×#25562
C43×#25532
C43×#25052
C43×#24982
C43×#24822
C43×#24802
C43×#24502
C43×#24382
C43×#24182
C43×#24112
C43×#23352
C43×#23342
C43×#23322
C4×#123×C432
C43×#22962
C2×C4×C22⋊C4×C432
#3505443