Finite Group Databasebeta

← C43×#35074 #24955091

Subgroups — C43×#35074 #24955091

Order 11008.

2062 conjugacy classes of subgroups.

The subgroup lattice has 1542 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C43×#2855C211yesmaximal, characteristic, complemented
2C43×#2854C211yesmaximal, characteristic, complemented
3C43×#2849C211yesmaximal, characteristic, complemented
4C43×#2849C211yesmaximal, characteristic, complemented
5C43×#2653C211yesmaximal, characteristic, complemented
6C43×#2652C211yesmaximal, characteristic, complemented
7C43×#2649C211yesmaximal, characteristic, complemented
8C43×#2648C211yesmaximal, characteristic, complemented
9C43×#2597C211yesmaximal, characteristic, complemented
10C43×#2595C211yesmaximal, characteristic, complemented
11C43×#2589C211yesmaximal, characteristic, complemented
12C43×#2587C211yesmaximal, characteristic, complemented
13C43×#2578C211yesmaximal, characteristic, complemented
14C43×#2576C211yesmaximal, characteristic, complemented
15C43×#2559C211yesmaximal, characteristic, complemented
16C43×#2557C211yesmaximal, characteristic, complemented
17C43×#2493C211yesmaximal, characteristic, complemented
18C43×#2488C211yesmaximal, characteristic, complemented
19C43×#2480C211yesmaximal, characteristic, complemented
20C43×#2472C211yesmaximal, characteristic, complemented
21C43×#2425C211yesmaximal, characteristic, complemented
22C43×#2424C211yesmaximal, characteristic
23C43×#2419C211yesmaximal, characteristic, complemented
24C43×#2418C211yesmaximal, characteristic, complemented
25C43×#2337C211yesmaximal, characteristic, complemented
26C43×#2335C211yesmaximal, characteristic, complemented
27C43×#2334C211yesmaximal, characteristic, complemented
28C43×#2333C211yesmaximal, characteristic, complemented
29C4×#123×C43C211yesmaximal, characteristic, complemented
30C4×#123×C43C211yesmaximal, characteristic, complemented
31C2×C4×C22⋊C4×C43C211yesmaximal, characteristic, complemented
32C24×C4×C43C2211yescharacteristic
33C2×#126×C43C2211yescharacteristic
34C2×#124×C43C2211yescharacteristic
35C2×#123×C43C2211yescharacteristic
36C2×#123×C43C2211yescharacteristic
37C2×#123×C43C2211yescharacteristic
38C2×#123×C43C2211yescharacteristic
39C2×#123×C43C2211yescharacteristic
40C2×C22⋊Q8×C43C2211yescharacteristic
41C2×#121×C43C2211yescharacteristic
42C2×#121×C43C2211yescharacteristic
43C2×#120×C43C2211yescharacteristic
44C2×#120×C43C2211yescharacteristic
45C2×C4×D4×C43C2211yescharacteristic
46C2×C4×D4×C43C2211yescharacteristic
47C22×C22⋊C4×C43C2211yescharacteristic
48C22×C22⋊C4×C43C2211yescharacteristic
49C22×C42×C43C2211yescharacteristic
50C22×C42×C43C2211yescharacteristic
51C43×#401C2211yescharacteristic, complemented
52C43×#400C2211yescharacteristic, complemented
53C43×#400C2211yescharacteristic, complemented
54C43×#400C2211yescharacteristic, complemented
55C43×#400C2211yescharacteristic, complemented
56C43×#400C2211yescharacteristic, complemented
57C43×#400C2211yescharacteristic, complemented
58C43×#399C2211yescharacteristic
59C43×#398C2211yescharacteristic, complemented
60C43×#398C2211yescharacteristic, complemented
61C43×#397C2211yescharacteristic
62C43×#397C2211yescharacteristic
63C43×#397C2211yescharacteristic
64C43×#397C2211yescharacteristic
65C43×#397C2211yescharacteristic
66C43×#397C2211yescharacteristic, complemented
67C43×#397C2211yescharacteristic, complemented
68C43×#397C2211yescharacteristic, complemented
69C43×#397C2211yescharacteristic, complemented
70C43×#396C2211yescharacteristic
71C43×#396C2211yescharacteristic
72C43×#396C2211yescharacteristic, complemented
73C43×#394C2211yescharacteristic
74C43×#394C2211yescharacteristic
75C43×#394C2211yescharacteristic
76C43×#394C2211yescharacteristic
77C43×#394C2211yescharacteristic
78C43×#394C2211yescharacteristic
79C43×#394C2211yescharacteristic, complemented
80C43×#393C2211yescharacteristic
81C43×#393C2211yescharacteristic, complemented
82C43×#392C2211yescharacteristic
83C43×#391C2211yescharacteristic, complemented
84C43×#391C2211yescharacteristic, complemented
85C43×#391C2211yescharacteristic, complemented
86C43×#390C2211yescharacteristic
87C43×#390C2211yescharacteristic
88C43×#390C2211yescharacteristic, complemented
89C43×#390C2211yescharacteristic, 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, complemented
104C43×#388C2211yescharacteristic, complemented
105C43×#388C2211yescharacteristic, complemented
106C43×#388C2211yescharacteristic, complemented
107C43×#388C2211yescharacteristic, complemented
108C43×#388C2211yescharacteristic, complemented
109C43×#388C2211yescharacteristic, complemented
110C43×#388C2211yescharacteristic, complemented
111C43×#388C2211yescharacteristic, complemented
112C43×#388C2211yescharacteristic, complemented
113C43×#388C2211yescharacteristic, 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×#386C2211yescharacteristic
128C43×#386C2211yescharacteristic
129C43×#386C2211yescharacteristic
130C43×#386C2211yescharacteristic
131C43×#386C2211yescharacteristic
132C43×#386C2211yescharacteristic
133C43×#386C2211yescharacteristic
134C43×#386C2211yescharacteristic
135C43×#386C2211yescharacteristic
136C43×#386C2211yescharacteristic
137C43×#386C2211yescharacteristic
138C43×#386C2211yescharacteristic
139C43×#386C2211yescharacteristic
140C43×#386C2211yescharacteristic
141C43×#386C2211yescharacteristic, complemented
142C43×#385C2211yescharacteristic
143C43×#385C2211yescharacteristic
144C43×#385C2211yescharacteristic
145C43×#385C2211yescharacteristic
146C43×#385C2211yescharacteristic
147C43×#385C2211yescharacteristic
148C43×#385C2211yescharacteristic
149C43×#385C2211yescharacteristic
150C43×#385C2211yescharacteristic
151C43×#385C2211yescharacteristic
152C43×#385C2211yescharacteristic
153C43×#385C2211yescharacteristic
154C43×#385C2211yescharacteristic, complemented
155C43×#383C2211yescharacteristic, complemented
156C43×#382C2211yescharacteristic, complemented
157C43×#381C2211yescharacteristic
158C43×#381C2211yescharacteristic
159C43×#381C2211yescharacteristic
160C43×#381C2211yescharacteristic
161C43×#381C2211yescharacteristic, complemented
162C43×#380C2211yescharacteristic
163C43×#380C2211yescharacteristic
164C43×#380C2211yescharacteristic, complemented
165C43×#379C2211yescharacteristic
166C43×#379C2211yescharacteristic
167C4×C4⋊C4×C43C2211yescharacteristic, complemented
168C4×C4⋊C4×C43C2211yescharacteristic, complemented
169C4×C4⋊C4×C43C2211yescharacteristic, complemented
170C4×C4⋊C4×C43C2211yescharacteristic, complemented
171C4×C22⋊C4×C43C2211yescharacteristic
172C4×C22⋊C4×C43C2211yescharacteristic
173C4×C22⋊C4×C43C2211yescharacteristic
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, complemented
182C4×C22⋊C4×C43C2211yescharacteristic, complemented
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
192C22×D4×C43C2311yescharacteristic
193C22×D4×C43C2311yescharacteristic
194C22×D4×C43C2311yescharacteristic
195C22×D4×C43C2311yescharacteristic
196C23×C4×C43—24no—
197C23×C4×C43—42no—
198C23×C4×C43—42no—
199C23×C4×C43C2311yescharacteristic
200C23×C4×C43C2311yescharacteristic
201C23×C4×C43C2311yescharacteristic
202C23×C4×C43C2311yescharacteristic
203C23×C4×C43C2311yescharacteristic
204C23×C4×C43C2311yescharacteristic
205C23×C4×C43C2311yescharacteristic
206C23×C4×C43C2311yescharacteristic
207C23×C4×C43C2311yescharacteristic
208C23×C4×C43C2311yescharacteristic
209C23×C4×C43C2311yescharacteristic
210C23×C4×C43C2311yescharacteristic
211#126×C43—24no—
212#124×C43—24no—
213#123×C43—24no—
214#123×C43—24no—
215#123×C43—24no—
216#123×C43—42no—
217#123×C43—42no—
218C22⋊Q8×C43—42no—
219#121×C43—24no—
220#121×C43—42no—
221#120×C43—42no—
222#120×C43—42no—
223C4×D4×C43—42no—
224C4×D4×C43—42no—
225C2×C4⋊C4×C43C2311yescharacteristic
226C2×C4⋊C4×C43C2311yescharacteristic
227C2×C4⋊C4×C43C2311yescharacteristic
228C2×C4⋊C4×C43C2311yescharacteristic
229C2×C4⋊C4×C43C2311yescharacteristic
230C2×C4⋊C4×C43C2311yescharacteristic
231C2×C4⋊C4×C43C2311yescharacteristic
232C2×C4⋊C4×C43C2311yescharacteristic
233C2×C4⋊C4×C43C2311yescharacteristic
234C2×C4⋊C4×C43C2311yescharacteristic
235C2×C4⋊C4×C43C2311yescharacteristic
236C2×C4⋊C4×C43C2311yescharacteristic
237C2×C4⋊C4×C43C2311yescharacteristic
238C2×C4⋊C4×C43C2311yescharacteristic
239C2×C4⋊C4×C43C2311yescharacteristic
240C2×C4⋊C4×C43C2311yescharacteristic
241C2×C4⋊C4×C43C2311yescharacteristic
242C2×C4⋊C4×C43C2311yescharacteristic
243C2×C4⋊C4×C43C2311yescharacteristic
244C2×C4⋊C4×C43C2311yescharacteristic
245C2×C4⋊C4×C43C2311yescharacteristic
246C2×C4⋊C4×C43C2311yescharacteristic
247C2×C4⋊C4×C43C2311yescharacteristic
248C2×C4⋊C4×C43C2311yescharacteristic
249C2×C4⋊C4×C43C2311yescharacteristic
250C2×C4⋊C4×C43C2311yescharacteristic
251C2×C22⋊C4×C43—24no—
252C2×C22⋊C4×C43—24no—
253C2×C22⋊C4×C43C2311yescharacteristic
254C2×C22⋊C4×C43C2311yescharacteristic
255C2×C22⋊C4×C43C2311yescharacteristic
256C2×C22⋊C4×C43C2311yescharacteristic
257C2×C22⋊C4×C43C2311yescharacteristic
258C2×C22⋊C4×C43C2311yescharacteristic
259C2×C22⋊C4×C43C2311yescharacteristic
260C2×C22⋊C4×C43C2311yescharacteristic
261C2×C22⋊C4×C43C2311yescharacteristic
262C2×C22⋊C4×C43C2311yescharacteristic
263C2×C22⋊C4×C43C2311yescharacteristic
264C2×C22⋊C4×C43C2311yescharacteristic
265C2×C22⋊C4×C43C2311yescharacteristic
266C2×C22⋊C4×C43C2311yescharacteristic
267C2×C22⋊C4×C43C2311yescharacteristic
268C2×C22⋊C4×C43C2311yescharacteristic
269C2×C22⋊C4×C43C2311yescharacteristic
270C2×C22⋊C4×C43C2311yescharacteristic
271C2×C22⋊C4×C43C2311yescharacteristic
272C2×C22⋊C4×C43C2311yescharacteristic
273C2×C22⋊C4×C43C2311yescharacteristic
274C2×C22⋊C4×C43C2311yescharacteristic
275C2×C22⋊C4×C43C2311yescharacteristic
276C2×C22⋊C4×C43C2311yescharacteristic
277C2×C22⋊C4×C43C2311yescharacteristic
278C2×C22⋊C4×C43C2311yescharacteristic
279C2×C22⋊C4×C43C2311yescharacteristic
280C2×C22⋊C4×C43C2311yescharacteristic
281C2×C22⋊C4×C43C2311yescharacteristic
282C2×C22⋊C4×C43C2311yescharacteristic
283C2×C22⋊C4×C43C2311yescharacteristic
284C2×C22⋊C4×C43C2311yescharacteristic
285C2×C22⋊C4×C43C2311yescharacteristic
286C2×C22⋊C4×C43C2311yescharacteristic
287C2×C22⋊C4×C43C2311yescharacteristic
288C2×C22⋊C4×C43C2311yescharacteristic
289C2×C22⋊C4×C43C2311yescharacteristic
290C2×C22⋊C4×C43C2311yescharacteristic
291C2×C22⋊C4×C43C2311yescharacteristic
292C2×C22⋊C4×C43C2311yescharacteristic
293C2×C22⋊C4×C43C2311yescharacteristic
294C2×C22⋊C4×C43C2311yescharacteristic
295C2×C22⋊C4×C43C2311yescharacteristic
296C2×C22⋊C4×C43C2311yescharacteristic
297C2×C22⋊C4×C43C2311yescharacteristic
298C2×C22⋊C4×C43C2311yescharacteristic
299C2×C42×C43—42no—
300C2×C42×C43—42no—
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
374C24×C43C2411yescharacteristic
375C2×Q8×C43—22no—
376C2×Q8×C43—41no—
377C2×Q8×C43—41no—
378C2×D4×C43—22no—
379C2×D4×C43—22no—
380C2×D4×C43—22no—
381C2×D4×C43—22no—
382C2×D4×C43—22no—
383C2×D4×C43—22no—
384C2×D4×C43—22no—
385C2×D4×C43—22no—
386C2×D4×C43—22no—
387C2×D4×C43—22no—
388C2×D4×C43—22no—
389C2×D4×C43—41no—
390C2×D4×C43—41no—
391C2×D4×C43—41no—
392C2×D4×C43—41no—
393C2×D4×C43—41no—
394C2×D4×C43—41no—
395C2×D4×C43—41no—
396C2×D4×C43—41no—
397C2×D4×C43—41no—
398C2×D4×C43—41no—
399C22×C4×C43—22no—
400C22×C4×C43—22no—
401C22×C4×C43—22no—
402C22×C4×C43—22no—
403C22×C4×C43—22no—
404C22×C4×C43—22no—
405C22×C4×C43—22no—
406C22×C4×C43—22no—
407C22×C4×C43—22no—
408C22×C4×C43—22no—
409C22×C4×C43—22no—
410C22×C4×C43—22no—
411C22×C4×C43—22no—
412C22×C4×C43—22no—
413C22×C4×C43—22no—
414C22×C4×C43—22no—
415C22×C4×C43—22no—
416C22×C4×C43—22no—
417C22×C4×C43—22no—
418C22×C4×C43—41no—
419C22×C4×C43—41no—
420C22×C4×C43—41no—
421C22×C4×C43—41no—
422C22×C4×C43—41no—
423C22×C4×C43—41no—
424C22×C4×C43—41no—
425C22×C4×C43—41no—
426C22×C4×C43—41no—
427C22×C4×C43—41no—
428C22×C4×C43—41no—
429C22×C4×C43—41no—
430C22×C4×C43—41no—
431C22×C4×C43—41no—
432C22×C4×C43—41no—
433C22×C4×C43—41no—
434C22×C4×C43—416no—
435C22×C4×C43#4114yes—
436C22×C4×C43C2411yescharacteristic
437C22×C4×C43C2411yescharacteristic
438C22×C4×C43C2411yescharacteristic
439C22×C4×C43C2411yescharacteristic
440C22×C4×C43C2411yescharacteristic
441C22×C4×C43C2411yescharacteristic
442C22×C4×C43C2411yescharacteristic
443C22×C4×C43C2411yescharacteristic
444C22×C4×C43C2411yescharacteristic
445C22×C4×C43C2411yescharacteristic
446C22×C4×C43C2411yescharacteristic
447C22×C4×C43C2411yescharacteristic
448C22×C4×C43C2411yescharacteristic
449C22×C4×C43C2411yescharacteristic
450C22×C4×C43C2411yescharacteristic
451C22×C4×C43C2411yescharacteristic
452C22×C4×C43C2411yescharacteristic
453C22×C4×C43C2411yescharacteristic
454C22×C4×C43C2411yescharacteristic
455C22×C4×C43C2411yescharacteristic
456C22×C4×C43C2411yescharacteristic
457C22×C4×C43C2411yescharacteristic
458C22×C4×C43C2411yescharacteristic
459C22×C4×C43C2411yescharacteristic
460C22×C4×C43C2411yescharacteristic
461C22×C4×C43C2411yescharacteristic
462C4⋊C4×C43—22no—
463C4⋊C4×C43—22no—
464C4⋊C4×C43—22no—
465C4⋊C4×C43—22no—
466C4⋊C4×C43—22no—
467C4⋊C4×C43—22no—
468C4⋊C4×C43—22no—
469C4⋊C4×C43—22no—
470C4⋊C4×C43—22no—
471C4⋊C4×C43—22no—
472C4⋊C4×C43—41no—
473C4⋊C4×C43—41no—
474C4⋊C4×C43—41no—
475C4⋊C4×C43—41no—
476C4⋊C4×C43—41no—
477C4⋊C4×C43—41no—
478C4⋊C4×C43—41no—
479C4⋊C4×C43—41no—
480C4⋊C4×C43—41no—
481C4⋊C4×C43—41no—
482C4⋊C4×C43—41no—
483C4⋊C4×C43—41no—
484C4⋊C4×C43—41no—
485C4⋊C4×C43—41no—
486C4⋊C4×C43—41no—
487C4⋊C4×C43—41no—
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—22no—
510C22⋊C4×C43—22no—
511C22⋊C4×C43—22no—
512C22⋊C4×C43—41no—
513C22⋊C4×C43—41no—
514C22⋊C4×C43—41no—
515C22⋊C4×C43—41no—
516C22⋊C4×C43—41no—
517C22⋊C4×C43—41no—
518C22⋊C4×C43—41no—
519C22⋊C4×C43—41no—
520C22⋊C4×C43—41no—
521C22⋊C4×C43—41no—
522C22⋊C4×C43—41no—
523C22⋊C4×C43—41no—
524C22⋊C4×C43—41no—
525C22⋊C4×C43—41no—
526C22⋊C4×C43—41no—
527C22⋊C4×C43—41no—
528C22⋊C4×C43—41no—
529C22⋊C4×C43—41no—
530C22⋊C4×C43—41no—
531C22⋊C4×C43—41no—
532C22⋊C4×C43#4114yes—
533C22⋊C4×C43#4114yes—
534C42×C43—22no—
535C42×C43—22no—
536C42×C43—41no—
537C42×C43—41no—
538C42×C43—41no—
539C42×C43—41no—
540C42×C43—41no—
541C42×C43—41no—
542C42×C43—41no—
543C42×C43—41no—
544C42×C43—41no—
545C42×C43—41no—
546C42×C43—41no—
547C42×C43—41no—
548C23×C43—21no—
549C23×C43—21no—
550C23×C43—21no—
551C23×C43—21no—
552C23×C43—28no—
553C23×C43—21no—
554C23×C43—21no—
555C23×C43—21no—
556C23×C43—21no—
557C23×C43—21no—
558C23×C43—21no—
559C23×C43—21no—
560C23×C43—21no—
561C23×C43—21no—
562C23×C43—21no—
563C23×C43—21no—
564C23×C43—21no—
565C23×C43—21no—
566C23×C43—21no—
567C23×C43—21no—
568C23×C43—21no—
569C23×C43—21no—
570C23×C43—21no—
571C23×C43—21no—
572C23×C43—21no—
573C23×C43—21no—
574C23×C43—21no—
575C23×C43—21no—
576C23×C43—21no—
577C23×C43—21no—
578C23×C43—21no—
579C23×C43—44no—
580C23×C43—44no—
581C23×C43—44no—
582C23×C43—44no—
583C23×C43—44no—
584C23×C43—44no—
585C23×C43C2×#4112yes—
586C23×C43C2×#4112yes—
587C23×C43C2×#4112yes—
588C23×C43H(5,𝔽2)12yes—
589C23×C43H(5,𝔽2)12yes—
590C23×C43C2511yescharacteristic
591Q8×C43—82no—
592D4×C43—44no—
593D4×C43—44no—
594D4×C43—82no—
595D4×C43—82no—
596D4×C43—82no—
597D4×C43—82no—
598D4×C43—82no—
599C2×C4×C43—28no—
600C2×C4×C43—21no—
601C2×C4×C43—21no—
602C2×C4×C43—21no—
603C2×C4×C43—21no—
604C2×C4×C43—21no—
605C2×C4×C43—21no—
606C2×C4×C43—21no—
607C2×C4×C43—21no—
608C2×C4×C43—21no—
609C2×C4×C43—21no—
610C2×C4×C43—21no—
611C2×C4×C43—21no—
612C2×C4×C43—21no—
613C2×C4×C43—21no—
614C2×C4×C43—21no—
615C2×C4×C43—21no—
616C2×C4×C43—21no—
617C2×C4×C43—21no—
618C2×C4×C43—21no—
619C2×C4×C43—21no—
620C2×C4×C43—21no—
621C2×C4×C43—21no—
622C2×C4×C43—21no—
623C2×C4×C43—21no—
624C2×C4×C43—21no—
625C2×C4×C43—21no—
626C2×C4×C43—21no—
627C2×C4×C43—21no—
628C2×C4×C43—21no—
629C2×C4×C43—21no—
630C2×C4×C43—21no—
631C2×C4×C43—21no—
632C2×C4×C43—21no—
633C2×C4×C43—21no—
634C2×C4×C43—21no—
635C2×C4×C43—21no—
636C2×C4×C43—21no—
637C2×C4×C43—21no—
638C2×C4×C43—21no—
639C2×C4×C43—21no—
640C2×C4×C43—21no—
641C2×C4×C43—21no—
642C2×C4×C43—21no—
643C2×C4×C43—21no—
644C2×C4×C43—21no—
645C2×C4×C43—21no—
646C2×C4×C43—21no—
647C2×C4×C43—21no—
648C2×C4×C43—21no—
649C2×C4×C43—21no—
650C2×C4×C43—21no—
651C2×C4×C43—21no—
652C2×C4×C43—21no—
653C2×C4×C43—21no—
654C2×C4×C43—21no—
655C2×C4×C43—21no—
656C2×C4×C43—21no—
657C2×C4×C43—21no—
658C2×C4×C43—21no—
659C2×C4×C43—21no—
660C2×C4×C43—21no—
661C2×C4×C43—21no—
662C2×C4×C43—21no—
663C2×C4×C43—21no—
664C2×C4×C43—21no—
665C2×C4×C43—21no—
666C2×C4×C43—21no—
667C2×C4×C43—21no—
668C2×C4×C43—21no—
669C2×C4×C43—21no—
670C2×C4×C43—21no—
671C2×C4×C43—21no—
672C2×C4×C43—44no—
673C2×C4×C43—44no—
674C2×C4×C43—44no—
675C2×C4×C43—44no—
676C2×C4×C43—44no—
677C2×C4×C43—44no—
678C2×C4×C43—44no—
679C2×C4×C43—44no—
680C2×C4×C43—44no—
681C2×C4×C43—82no—
682C2×C4×C43—82no—
683C2×C4×C43C2×#4112yes—
684C2×C4×C43C2×#4112yes—
685C2×C4×C43C2×#4112yes—
686C2×C4×C43C2×#4112yes—
687C2×C4×C43C2×#4112yes—
688C2×C4×C43C2×#4112yes—
689#35074C4311yesmaximal, characteristic, direct product factor, Sylow
690C22×C43—22no—
691C22×C43—22no—
692C22×C43—22no—
693C22×C43—22no—
694C22×C43—22no—
695C22×C43—22no—
696C22×C43—22no—
697C22×C43—22no—
698C22×C43—22no—
699C22×C43—22no—
700C22×C43—22no—
701C22×C43—22no—
702C22×C43—416no—
703C22×C43—41no—
704C22×C43—41no—
705C22×C43—41no—
706C22×C43—41no—
707C22×C43—41no—
708C22×C43—41no—
709C22×C43—41no—
710C22×C43—41no—
711C22×C43—41no—
712C22×C43—41no—
713C22×C43—41no—
714C22×C43—41no—
715C22×C43—41no—
716C22×C43—41no—
717C22×C43—41no—
718C22×C43—41no—
719C22×C43—41no—
720C22×C43—41no—
721C22×C43—41no—
722C22×C43—41no—
723C22×C43—41no—
724C22×C43—41no—
725C22×C43#53814yes—
726C22×C43C22×#4111yescharacteristic
727C22×C43C22×#4111yescharacteristic
728C22×C43C22×#4111yescharacteristic
729C22×C43C2×H(5,𝔽2)11yescharacteristic
730C22×C43C2×H(5,𝔽2)11yescharacteristic
731C22×C43#58511yescharacteristic
732C22×C43#58511yescharacteristic
733C4×C43—22no—
734C4×C43—22no—
735C4×C43—22no—
736C4×C43—22no—
737C4×C43—22no—
738C4×C43—22no—
739C4×C43—41no—
740C4×C43—41no—
741C4×C43—41no—
742C4×C43—41no—
743C4×C43—41no—
744C4×C43—41no—
745C4×C43—41no—
746C4×C43—41no—
747C4×C43—41no—
748C4×C43—41no—
749C4×C43—41no—
750C4×C43—41no—
751C4×C43—41no—
752C4×C43—41no—
753C4×C43—41no—
754C4×C43—41no—
755C4×C43—41no—
756C4×C43—41no—
757C4×C43—41no—
758C4×C43—41no—
759#2855C2×C4311yescharacteristic, complemented
760#2854C2×C4311yescharacteristic, complemented
761#2849C2×C4311yescharacteristic, complemented
762#2849C2×C4311yescharacteristic, complemented
763#2653C2×C4311yescharacteristic, complemented
764#2652C2×C4311yescharacteristic, complemented
765#2649C2×C4311yescharacteristic, complemented
766#2648C2×C4311yescharacteristic, complemented
767#2597C2×C4311yescharacteristic, complemented
768#2595C2×C4311yescharacteristic, complemented
769#2589C2×C4311yescharacteristic, complemented
770#2587C2×C4311yescharacteristic, complemented
771#2578C2×C4311yescharacteristic, complemented
772#2576C2×C4311yescharacteristic, complemented
773#2559C2×C4311yescharacteristic, complemented
774#2557C2×C4311yescharacteristic, complemented
775#2493C2×C4311yescharacteristic, complemented
776#2488C2×C4311yescharacteristic, complemented
777#2480C2×C4311yescharacteristic, complemented
778#2472C2×C4311yescharacteristic, complemented
779#2425C2×C4311yescharacteristic, complemented
780#2424C2×C4311yescharacteristic
781#2419C2×C4311yescharacteristic, complemented
782#2418C2×C4311yescharacteristic, complemented
783#2337C2×C4311yescharacteristic, complemented
784#2335C2×C4311yescharacteristic, complemented
785#2334C2×C4311yescharacteristic, complemented
786#2333C2×C4311yescharacteristic, complemented
787C4×#123C2×C4311yescharacteristic, complemented
788C4×#123C2×C4311yescharacteristic, complemented
789C2×C4×C22⋊C4C2×C4311yescharacteristic, complemented
790C2×C43—24no—
791C2×C43—42no—
792C2×C43—42no—
793C2×C43—81no—
794C2×C43—81no—
795C2×C43#344411yescharacteristic
796C2×C43C2×#53811yescharacteristic
797C2×C43#345511yescharacteristic
798C2×C43#351311yescharacteristic
799C2×C43#351311yescharacteristic
800C2×C43#351311yescharacteristic
801C2×C43#351311yescharacteristic
802C24×C4C22×C4311yescharacteristic
803C2×#126C22×C4311yescharacteristic
804C2×#124C22×C4311yescharacteristic
805C2×#123C22×C4311yescharacteristic
806C2×#123C22×C4311yescharacteristic
807C2×#123C22×C4311yescharacteristic
808C2×#123C22×C4311yescharacteristic
809C2×#123C22×C4311yescharacteristic
810C2×C22⋊Q8C22×C4311yescharacteristic
811C2×#121C22×C4311yescharacteristic
812C2×#121C22×C4311yescharacteristic
813C2×#120C22×C4311yescharacteristic
814C2×#120C22×C4311yescharacteristic
815C2×C4×D4C22×C4311yescharacteristic
816C2×C4×D4C22×C4311yescharacteristic
817C22×C22⋊C4C22×C4311yescharacteristic
818C22×C22⋊C4C22×C4311yescharacteristic
819C22×C42C22×C4311yescharacteristic
820C22×C42C22×C4311yescharacteristic
821#401C22×C4311yescharacteristic, complemented
822#400C22×C4311yescharacteristic, complemented
823#400C22×C4311yescharacteristic, complemented
824#400C22×C4311yescharacteristic, complemented
825#400C22×C4311yescharacteristic, complemented
826#400C22×C4311yescharacteristic, complemented
827#400C22×C4311yescharacteristic, complemented
828#399C22×C4311yescharacteristic
829#398C22×C4311yescharacteristic, complemented
830#398C22×C4311yescharacteristic, complemented
831#397C22×C4311yescharacteristic
832#397C22×C4311yescharacteristic
833#397C22×C4311yescharacteristic
834#397C22×C4311yescharacteristic
835#397C22×C4311yescharacteristic
836#397C22×C4311yescharacteristic, complemented
837#397C22×C4311yescharacteristic, complemented
838#397C22×C4311yescharacteristic, complemented
839#397C22×C4311yescharacteristic, complemented
840#396C22×C4311yescharacteristic
841#396C22×C4311yescharacteristic
842#396C22×C4311yescharacteristic, complemented
843#394C22×C4311yescharacteristic
844#394C22×C4311yescharacteristic
845#394C22×C4311yescharacteristic
846#394C22×C4311yescharacteristic
847#394C22×C4311yescharacteristic
848#394C22×C4311yescharacteristic
849#394C22×C4311yescharacteristic, complemented
850#393C22×C4311yescharacteristic
851#393C22×C4311yescharacteristic, complemented
852#392C22×C4311yescharacteristic
853#391C22×C4311yescharacteristic, complemented
854#391C22×C4311yescharacteristic, complemented
855#391C22×C4311yescharacteristic, complemented
856#390C22×C4311yescharacteristic
857#390C22×C4311yescharacteristic
858#390C22×C4311yescharacteristic, complemented
859#390C22×C4311yescharacteristic, complemented
860#389C22×C4311yescharacteristic, complemented
861#389C22×C4311yescharacteristic, complemented
862#389C22×C4311yescharacteristic, complemented
863#389C22×C4311yescharacteristic, complemented
864#389C22×C4311yescharacteristic, complemented
865#388C22×C4311yescharacteristic
866#388C22×C4311yescharacteristic
867#388C22×C4311yescharacteristic
868#388C22×C4311yescharacteristic
869#388C22×C4311yescharacteristic
870#388C22×C4311yescharacteristic
871#388C22×C4311yescharacteristic
872#388C22×C4311yescharacteristic
873#388C22×C4311yescharacteristic, complemented
874#388C22×C4311yescharacteristic, complemented
875#388C22×C4311yescharacteristic, complemented
876#388C22×C4311yescharacteristic, complemented
877#388C22×C4311yescharacteristic, complemented
878#388C22×C4311yescharacteristic, complemented
879#388C22×C4311yescharacteristic, complemented
880#388C22×C4311yescharacteristic, complemented
881#388C22×C4311yescharacteristic, complemented
882#388C22×C4311yescharacteristic, complemented
883#388C22×C4311yescharacteristic, complemented
884#387C22×C4311yescharacteristic, complemented
885#387C22×C4311yescharacteristic, complemented
886#387C22×C4311yescharacteristic, complemented
887#387C22×C4311yescharacteristic, complemented
888#387C22×C4311yescharacteristic, complemented
889#387C22×C4311yescharacteristic, complemented
890#387C22×C4311yescharacteristic, complemented
891#387C22×C4311yescharacteristic, complemented
892#387C22×C4311yescharacteristic, complemented
893#387C22×C4311yescharacteristic, complemented
894#387C22×C4311yescharacteristic, complemented
895#387C22×C4311yescharacteristic, complemented
896#387C22×C4311yescharacteristic, complemented
897#386C22×C4311yescharacteristic
898#386C22×C4311yescharacteristic
899#386C22×C4311yescharacteristic
900#386C22×C4311yescharacteristic
901#386C22×C4311yescharacteristic
902#386C22×C4311yescharacteristic
903#386C22×C4311yescharacteristic
904#386C22×C4311yescharacteristic
905#386C22×C4311yescharacteristic
906#386C22×C4311yescharacteristic
907#386C22×C4311yescharacteristic
908#386C22×C4311yescharacteristic
909#386C22×C4311yescharacteristic
910#386C22×C4311yescharacteristic
911#386C22×C4311yescharacteristic, complemented
912#385C22×C4311yescharacteristic
913#385C22×C4311yescharacteristic
914#385C22×C4311yescharacteristic
915#385C22×C4311yescharacteristic
916#385C22×C4311yescharacteristic
917#385C22×C4311yescharacteristic
918#385C22×C4311yescharacteristic
919#385C22×C4311yescharacteristic
920#385C22×C4311yescharacteristic
921#385C22×C4311yescharacteristic
922#385C22×C4311yescharacteristic
923#385C22×C4311yescharacteristic
924#385C22×C4311yescharacteristic, complemented
925#383C22×C4311yescharacteristic, complemented
926#382C22×C4311yescharacteristic, complemented
927#381C22×C4311yescharacteristic
928#381C22×C4311yescharacteristic
929#381C22×C4311yescharacteristic
930#381C22×C4311yescharacteristic
931#381C22×C4311yescharacteristic, complemented
932#380C22×C4311yescharacteristic
933#380C22×C4311yescharacteristic
934#380C22×C4311yescharacteristic, complemented
935#379C22×C4311yescharacteristic
936#379C22×C4311yescharacteristic
937C4×C4⋊C4C22×C4311yescharacteristic, complemented
938C4×C4⋊C4C22×C4311yescharacteristic, complemented
939C4×C4⋊C4C22×C4311yescharacteristic, complemented
940C4×C4⋊C4C22×C4311yescharacteristic, complemented
941C4×C22⋊C4C22×C4311yescharacteristic
942C4×C22⋊C4C22×C4311yescharacteristic
943C4×C22⋊C4C22×C4311yescharacteristic
944C4×C22⋊C4C22×C4311yescharacteristic
945C4×C22⋊C4C22×C4311yescharacteristic
946C4×C22⋊C4C22×C4311yescharacteristic
947C4×C22⋊C4C22×C4311yescharacteristic
948C4×C22⋊C4C22×C4311yescharacteristic
949C4×C22⋊C4C22×C4311yescharacteristic
950C4×C22⋊C4C22×C4311yescharacteristic
951C4×C22⋊C4C22×C4311yescharacteristic, complemented
952C4×C22⋊C4C22×C4311yescharacteristic, complemented
953C4×C22⋊C4C22×C4311yescharacteristic, complemented
954C4×C22⋊C4C22×C4311yescharacteristic, complemented
955C2×#95C22×C4311yescharacteristic
956C2×#95C22×C4311yescharacteristic
957C43#3507411yescharacteristic, direct product factor, Sylow
958C25C23×C4311yescharacteristic
959C22×Q8C23×C4311yescharacteristic
960C22×D4C23×C4311yescharacteristic
961C22×D4C23×C4311yescharacteristic
962C22×D4C23×C4311yescharacteristic
963C22×D4C23×C4311yescharacteristic
964C22×D4C23×C4311yescharacteristic
965C22×D4C23×C4311yescharacteristic
966C22×D4C23×C4311yescharacteristic
967C23×C4—24no—
968C23×C4—42no—
969C23×C4—42no—
970C23×C4C23×C4311yescharacteristic
971C23×C4C23×C4311yescharacteristic
972C23×C4C23×C4311yescharacteristic
973C23×C4C23×C4311yescharacteristic
974C23×C4C23×C4311yescharacteristic
975C23×C4C23×C4311yescharacteristic
976C23×C4C23×C4311yescharacteristic
977C23×C4C23×C4311yescharacteristic
978C23×C4C23×C4311yescharacteristic
979C23×C4C23×C4311yescharacteristic
980C23×C4C23×C4311yescharacteristic
981C23×C4C23×C4311yescharacteristic
982#126—24no—
983#124—24no—
984#123—24no—
985#123—24no—
986#123—24no—
987#123—42no—
988#123—42no—
989C22⋊Q8—42no—
990#121—24no—
991#121—42no—
992#120—42no—
993#120—42no—
994C4×D4—42no—
995C4×D4—42no—
996C2×C4⋊C4C23×C4311yescharacteristic
997C2×C4⋊C4C23×C4311yescharacteristic
998C2×C4⋊C4C23×C4311yescharacteristic
999C2×C4⋊C4C23×C4311yescharacteristic
1000C2×C4⋊C4C23×C4311yescharacteristic
1001C2×C4⋊C4C23×C4311yescharacteristic
1002C2×C4⋊C4C23×C4311yescharacteristic
1003C2×C4⋊C4C23×C4311yescharacteristic
1004C2×C4⋊C4C23×C4311yescharacteristic
1005C2×C4⋊C4C23×C4311yescharacteristic
1006C2×C4⋊C4C23×C4311yescharacteristic
1007C2×C4⋊C4C23×C4311yescharacteristic
1008C2×C4⋊C4C23×C4311yescharacteristic
1009C2×C4⋊C4C23×C4311yescharacteristic
1010C2×C4⋊C4C23×C4311yescharacteristic
1011C2×C4⋊C4C23×C4311yescharacteristic
1012C2×C4⋊C4C23×C4311yescharacteristic
1013C2×C4⋊C4C23×C4311yescharacteristic
1014C2×C4⋊C4C23×C4311yescharacteristic
1015C2×C4⋊C4C23×C4311yescharacteristic
1016C2×C4⋊C4C23×C4311yescharacteristic
1017C2×C4⋊C4C23×C4311yescharacteristic
1018C2×C4⋊C4C23×C4311yescharacteristic
1019C2×C4⋊C4C23×C4311yescharacteristic
1020C2×C4⋊C4C23×C4311yescharacteristic
1021C2×C4⋊C4C23×C4311yescharacteristic
1022C2×C22⋊C4—24no—
1023C2×C22⋊C4—24no—
1024C2×C22⋊C4C23×C4311yescharacteristic
1025C2×C22⋊C4C23×C4311yescharacteristic
1026C2×C22⋊C4C23×C4311yescharacteristic
1027C2×C22⋊C4C23×C4311yescharacteristic
1028C2×C22⋊C4C23×C4311yescharacteristic
1029C2×C22⋊C4C23×C4311yescharacteristic
1030C2×C22⋊C4C23×C4311yescharacteristic
1031C2×C22⋊C4C23×C4311yescharacteristic
1032C2×C22⋊C4C23×C4311yescharacteristic
1033C2×C22⋊C4C23×C4311yescharacteristic
1034C2×C22⋊C4C23×C4311yescharacteristic
1035C2×C22⋊C4C23×C4311yescharacteristic
1036C2×C22⋊C4C23×C4311yescharacteristic
1037C2×C22⋊C4C23×C4311yescharacteristic
1038C2×C22⋊C4C23×C4311yescharacteristic
1039C2×C22⋊C4C23×C4311yescharacteristic
1040C2×C22⋊C4C23×C4311yescharacteristic
1041C2×C22⋊C4C23×C4311yescharacteristic
1042C2×C22⋊C4C23×C4311yescharacteristic
1043C2×C22⋊C4C23×C4311yescharacteristic
1044C2×C22⋊C4C23×C4311yescharacteristic
1045C2×C22⋊C4C23×C4311yescharacteristic
1046C2×C22⋊C4C23×C4311yescharacteristic
1047C2×C22⋊C4C23×C4311yescharacteristic
1048C2×C22⋊C4C23×C4311yescharacteristic
1049C2×C22⋊C4C23×C4311yescharacteristic
1050C2×C22⋊C4C23×C4311yescharacteristic
1051C2×C22⋊C4C23×C4311yescharacteristic
1052C2×C22⋊C4C23×C4311yescharacteristic
1053C2×C22⋊C4C23×C4311yescharacteristic
1054C2×C22⋊C4C23×C4311yescharacteristic
1055C2×C22⋊C4C23×C4311yescharacteristic
1056C2×C22⋊C4C23×C4311yescharacteristic
1057C2×C22⋊C4C23×C4311yescharacteristic
1058C2×C22⋊C4C23×C4311yescharacteristic
1059C2×C22⋊C4C23×C4311yescharacteristic
1060C2×C22⋊C4C23×C4311yescharacteristic
1061C2×C22⋊C4C23×C4311yescharacteristic
1062C2×C22⋊C4C23×C4311yescharacteristic
1063C2×C22⋊C4C23×C4311yescharacteristic
1064C2×C22⋊C4C23×C4311yescharacteristic
1065C2×C22⋊C4C23×C4311yescharacteristic
1066C2×C22⋊C4C23×C4311yescharacteristic
1067C2×C22⋊C4C23×C4311yescharacteristic
1068C2×C22⋊C4C23×C4311yescharacteristic
1069C2×C22⋊C4C23×C4311yescharacteristic
1070C2×C42—42no—
1071C2×C42—42no—
1072C2×C42C23×C4311yescharacteristic
1073C2×C42C23×C4311yescharacteristic
1074C2×C42C23×C4311yescharacteristic
1075C2×C42C23×C4311yescharacteristic
1076C2×C42C23×C4311yescharacteristic
1077C2×C42C23×C4311yescharacteristic
1078C2×C42C23×C4311yescharacteristic
1079C2×C42C23×C4311yescharacteristic
1080C2×C42C23×C4311yescharacteristic
1081C2×C42C23×C4311yescharacteristic
1082C2×C42C23×C4311yescharacteristic
1083C2×C42C23×C4311yescharacteristic
1084C2×C42C23×C4311yescharacteristic
1085C2×C42C23×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
1108#95C23×C4311yescharacteristic
1109#95C23×C4311yescharacteristic
1110#95C23×C4311yescharacteristic
1111#95C23×C4311yescharacteristic
1112#95C23×C4311yescharacteristic
1113#95C23×C4311yescharacteristic
1114#95C23×C4311yescharacteristic
1115#95C23×C4311yescharacteristic
1116#95C23×C4311yescharacteristic
1117#95C23×C4311yescharacteristic
1118#95C23×C4311yescharacteristic
1119#95C23×C4311yescharacteristic
1120#95C23×C4311yescharacteristic
1121#95C23×C4311yescharacteristic
1122#95C23×C4311yescharacteristic
1123#95C23×C4311yescharacteristic
1124#95C23×C4311yescharacteristic
1125#95C23×C4311yescharacteristic
1126#95C23×C4311yescharacteristic
1127#95C23×C4311yescharacteristic
1128#95C23×C4311yescharacteristic
1129#95C23×C4311yescharacteristic
1130#95C23×C4311yescharacteristic
1131#95C23×C4311yescharacteristic
1132#95C23×C4311yescharacteristic
1133#95C23×C4311yescharacteristic
1134C24—22no—
1135C24—22no—
1136C24—22no—
1137C24—22no—
1138C24—22no—
1139C24—41no—
1140C24—41no—
1141C24C24×C4311yescharacteristic
1142C24C24×C4311yescharacteristic
1143C24C24×C4311yescharacteristic
1144C24C24×C4311yescharacteristic
1145C24C24×C4311yescharacteristic
1146C2×Q8—22no—
1147C2×Q8—41no—
1148C2×Q8—41no—
1149C2×D4—22no—
1150C2×D4—22no—
1151C2×D4—22no—
1152C2×D4—22no—
1153C2×D4—22no—
1154C2×D4—22no—
1155C2×D4—22no—
1156C2×D4—22no—
1157C2×D4—22no—
1158C2×D4—22no—
1159C2×D4—22no—
1160C2×D4—41no—
1161C2×D4—41no—
1162C2×D4—41no—
1163C2×D4—41no—
1164C2×D4—41no—
1165C2×D4—41no—
1166C2×D4—41no—
1167C2×D4—41no—
1168C2×D4—41no—
1169C2×D4—41no—
1170C22×C4—22no—
1171C22×C4—22no—
1172C22×C4—22no—
1173C22×C4—22no—
1174C22×C4—22no—
1175C22×C4—22no—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—22no—
1184C22×C4—22no—
1185C22×C4—22no—
1186C22×C4—22no—
1187C22×C4—22no—
1188C22×C4—22no—
1189C22×C4—41no—
1190C22×C4—41no—
1191C22×C4—41no—
1192C22×C4—41no—
1193C22×C4—41no—
1194C22×C4—41no—
1195C22×C4—41no—
1196C22×C4—41no—
1197C22×C4—41no—
1198C22×C4—41no—
1199C22×C4—41no—
1200C22×C4—41no—
1201C22×C4—41no—
1202C22×C4—41no—
1203C22×C4—41no—
1204C22×C4—41no—
1205C22×C4—416no—
1206C22×C4#41×C4314yes—
1207C22×C4C24×C4311yescharacteristic
1208C22×C4C24×C4311yescharacteristic
1209C22×C4C24×C4311yescharacteristic
1210C22×C4C24×C4311yescharacteristic
1211C22×C4C24×C4311yescharacteristic
1212C22×C4C24×C4311yescharacteristic
1213C22×C4C24×C4311yescharacteristic
1214C22×C4C24×C4311yescharacteristic
1215C22×C4C24×C4311yescharacteristic
1216C22×C4C24×C4311yescharacteristic
1217C22×C4C24×C4311yescharacteristic
1218C22×C4C24×C4311yescharacteristic
1219C22×C4C24×C4311yescharacteristic
1220C22×C4C24×C4311yescharacteristic
1221C22×C4C24×C4311yescharacteristic
1222C22×C4C24×C4311yescharacteristic
1223C22×C4C24×C4311yescharacteristic
1224C22×C4C24×C4311yescharacteristic
1225C22×C4C24×C4311yescharacteristic
1226C22×C4C24×C4311yescharacteristic
1227C22×C4C24×C4311yescharacteristic
1228C22×C4C24×C4311yescharacteristic
1229C22×C4C24×C4311yescharacteristic
1230C22×C4C24×C4311yescharacteristic
1231C22×C4C24×C4311yescharacteristic
1232C22×C4C24×C4311yescharacteristic
1233C4⋊C4—22no—
1234C4⋊C4—22no—
1235C4⋊C4—22no—
1236C4⋊C4—22no—
1237C4⋊C4—22no—
1238C4⋊C4—22no—
1239C4⋊C4—22no—
1240C4⋊C4—22no—
1241C4⋊C4—22no—
1242C4⋊C4—22no—
1243C4⋊C4—41no—
1244C4⋊C4—41no—
1245C4⋊C4—41no—
1246C4⋊C4—41no—
1247C4⋊C4—41no—
1248C4⋊C4—41no—
1249C4⋊C4—41no—
1250C4⋊C4—41no—
1251C4⋊C4—41no—
1252C4⋊C4—41no—
1253C4⋊C4—41no—
1254C4⋊C4—41no—
1255C4⋊C4—41no—
1256C4⋊C4—41no—
1257C4⋊C4—41no—
1258C4⋊C4—41no—
1259C22⋊C4—22no—
1260C22⋊C4—22no—
1261C22⋊C4—22no—
1262C22⋊C4—22no—
1263C22⋊C4—22no—
1264C22⋊C4—22no—
1265C22⋊C4—22no—
1266C22⋊C4—22no—
1267C22⋊C4—22no—
1268C22⋊C4—22no—
1269C22⋊C4—22no—
1270C22⋊C4—22no—
1271C22⋊C4—22no—
1272C22⋊C4—22no—
1273C22⋊C4—22no—
1274C22⋊C4—22no—
1275C22⋊C4—22no—
1276C22⋊C4—22no—
1277C22⋊C4—22no—
1278C22⋊C4—22no—
1279C22⋊C4—22no—
1280C22⋊C4—22no—
1281C22⋊C4—22no—
1282C22⋊C4—22no—
1283C22⋊C4—41no—
1284C22⋊C4—41no—
1285C22⋊C4—41no—
1286C22⋊C4—41no—
1287C22⋊C4—41no—
1288C22⋊C4—41no—
1289C22⋊C4—41no—
1290C22⋊C4—41no—
1291C22⋊C4—41no—
1292C22⋊C4—41no—
1293C22⋊C4—41no—
1294C22⋊C4—41no—
1295C22⋊C4—41no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4—41no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4#41×C4314yes—
1304C22⋊C4#41×C4314yes—
1305C42—22no—
1306C42—22no—
1307C42—41no—
1308C42—41no—
1309C42—41no—
1310C42—41no—
1311C42—41no—
1312C42—41no—
1313C42—41no—
1314C42—41no—
1315C42—41no—
1316C42—41no—
1317C42—41no—
1318C42—41no—
1319C23—21no—
1320C23—21no—
1321C23—21no—
1322C23—21no—
1323C23—28no—
1324C23—21no—
1325C23—21no—
1326C23—21no—
1327C23—21no—
1328C23—21no—
1329C23—21no—
1330C23—21no—
1331C23—21no—
1332C23—21no—
1333C23—21no—
1334C23—21no—
1335C23—21no—
1336C23—21no—
1337C23—21no—
1338C23—21no—
1339C23—21no—
1340C23—21no—
1341C23—21no—
1342C23—21no—
1343C23—21no—
1344C23—21no—
1345C23—21no—
1346C23—21no—
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—44no—
1351C23—44no—
1352C23—44no—
1353C23—44no—
1354C23—44no—
1355C23—44no—
1356C23C2×#41×C4312yes—
1357C23C2×#41×C4312yes—
1358C23C2×#41×C4312yes—
1359C23H(5,𝔽2)×C4312yes—
1360C23H(5,𝔽2)×C4312yes—
1361C23C25×C4311yescharacteristic
1362Q8—82no—
1363D4—44no—
1364D4—44no—
1365D4—82no—
1366D4—82no—
1367D4—82no—
1368D4—82no—
1369D4—82no—
1370C2×C4—28no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—44no—
1444C2×C4—44no—
1445C2×C4—44no—
1446C2×C4—44no—
1447C2×C4—44no—
1448C2×C4—44no—
1449C2×C4—44no—
1450C2×C4—44no—
1451C2×C4—44no—
1452C2×C4—82no—
1453C2×C4—82no—
1454C2×C4C2×#41×C4312yes—
1455C2×C4C2×#41×C4312yes—
1456C2×C4C2×#41×C4312yes—
1457C2×C4C2×#41×C4312yes—
1458C2×C4C2×#41×C4312yes—
1459C2×C4C2×#41×C4312yes—
1460C22—22no—
1461C22—22no—
1462C22—22no—
1463C22—22no—
1464C22—22no—
1465C22—22no—
1466C22—22no—
1467C22—22no—
1468C22—22no—
1469C22—22no—
1470C22—22no—
1471C22—22no—
1472C22—416no—
1473C22—41no—
1474C22—41no—
1475C22—41no—
1476C22—41no—
1477C22—41no—
1478C22—41no—
1479C22—41no—
1480C22—41no—
1481C22—41no—
1482C22—41no—
1483C22—41no—
1484C22—41no—
1485C22—41no—
1486C22—41no—
1487C22—41no—
1488C22—41no—
1489C22—41no—
1490C22—41no—
1491C22—41no—
1492C22—41no—
1493C22—41no—
1494C22—41no—
1495C22C43×#53814yes—
1496C22C22×#41×C4311yescharacteristic
1497C22C22×#41×C4311yescharacteristic
1498C22C22×#41×C4311yescharacteristic
1499C22C2×H(5,𝔽2)×C4311yescharacteristic
1500C22C2×H(5,𝔽2)×C4311yescharacteristic
1501C22C43×#58511yescharacteristic
1502C22C43×#58511yescharacteristic
1503C4—22no—
1504C4—22no—
1505C4—22no—
1506C4—22no—
1507C4—22no—
1508C4—22no—
1509C4—41no—
1510C4—41no—
1511C4—41no—
1512C4—41no—
1513C4—41no—
1514C4—41no—
1515C4—41no—
1516C4—41no—
1517C4—41no—
1518C4—41no—
1519C4—41no—
1520C4—41no—
1521C4—41no—
1522C4—41no—
1523C4—41no—
1524C4—41no—
1525C4—41no—
1526C4—41no—
1527C4—41no—
1528C4—41no—
1529C2—24no—
1530C2—42no—
1531C2—42no—
1532C2—81no—
1533C2—81no—
1534C2C43×#344411yescharacteristic
1535C2C2×C43×#53811yescharacteristic
1536C2C43×#345511yescharacteristic
1537C2C43×#351311yescharacteristic
1538C2C43×#351311yescharacteristic
1539C2C43×#351311yescharacteristic
1540C2C43×#351311yescharacteristic
subgroupG/H
center, socleC23×C43C25
commutator, Frattini, cosocleC23C25×C43
prime radicalC43×#2424C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C43 ◁ G

Complements

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

NH ≅ G/Ntype
1. C43×#2855C2semidirect
2. C43×#2854C2semidirect
3. C43×#2849C2semidirect
4. C43×#2849C2semidirect
5. C43×#2653C2semidirect
6. C43×#2652C2semidirect
7. C43×#2649C2semidirect
8. C43×#2648C2semidirect
9. C43×#2597C2semidirect
10. C43×#2595C2semidirect
11. C43×#2589C2semidirect
12. C43×#2587C2semidirect
13. C43×#2578C2semidirect
14. C43×#2576C2semidirect
15. C43×#2559C2semidirect
16. C43×#2557C2semidirect
17. C43×#2493C2semidirect
18. C43×#2488C2semidirect
19. C43×#2480C2semidirect
20. C43×#2472C2semidirect
21. C43×#2425C2semidirect
23. C43×#2419C2semidirect
24. C43×#2418C2semidirect
25. C43×#2337C2semidirect
26. C43×#2335C2semidirect
27. C43×#2334C2semidirect
28. C43×#2333C2semidirect
29. C4×#123×C43C2semidirect
30. C4×#123×C43C2semidirect
31. C2×C4×C22⋊C4×C43C2semidirect
51. C43×#401C22semidirect
52. C43×#400C22semidirect
53. C43×#400C22semidirect
54. C43×#400C22semidirect
55. C43×#400C22semidirect
56. C43×#400C22semidirect
57. C43×#400C22semidirect
59. C43×#398C22semidirect
60. C43×#398C22semidirect
66. C43×#397C22semidirect
67. C43×#397C22semidirect
68. C43×#397C22semidirect
69. C43×#397C22semidirect
72. C43×#396C22semidirect
79. C43×#394C22semidirect
81. C43×#393C22semidirect
83. C43×#391C22semidirect
84. C43×#391C22semidirect
85. C43×#391C22semidirect
88. C43×#390C22semidirect
89. C43×#390C22semidirect
90. C43×#389C22semidirect
91. C43×#389C22semidirect
92. C43×#389C22semidirect
93. C43×#389C22semidirect
94. C43×#389C22semidirect
103. C43×#388C22semidirect
104. C43×#388C22semidirect
105. C43×#388C22semidirect
106. C43×#388C22semidirect
107. C43×#388C22semidirect
108. C43×#388C22semidirect
109. C43×#388C22semidirect
110. C43×#388C22semidirect
111. C43×#388C22semidirect
112. C43×#388C22semidirect
113. C43×#388C22semidirect
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
141. C43×#386C22semidirect
154. C43×#385C22semidirect
155. C43×#383C22semidirect
156. C43×#382C22semidirect
161. C43×#381C22semidirect
164. C43×#380C22semidirect
167. C4×C4⋊C4×C43C22semidirect
168. C4×C4⋊C4×C43C22semidirect
169. C4×C4⋊C4×C43C22semidirect
170. C4×C4⋊C4×C43C22semidirect
181. C4×C22⋊C4×C43C22semidirect
182. C4×C22⋊C4×C43C22semidirect
183. C4×C22⋊C4×C43C22semidirect
184. C4×C22⋊C4×C43C22semidirect
689. #35074C43direct (N × H)
759. #2855C2×C43semidirect
760. #2854C2×C43semidirect
761. #2849C2×C43semidirect
762. #2849C2×C43semidirect
763. #2653C2×C43semidirect
764. #2652C2×C43semidirect
765. #2649C2×C43semidirect
766. #2648C2×C43semidirect
767. #2597C2×C43semidirect
768. #2595C2×C43semidirect
769. #2589C2×C43semidirect
770. #2587C2×C43semidirect
771. #2578C2×C43semidirect
772. #2576C2×C43semidirect
773. #2559C2×C43semidirect
774. #2557C2×C43semidirect
775. #2493C2×C43semidirect
776. #2488C2×C43semidirect
777. #2480C2×C43semidirect
778. #2472C2×C43semidirect
779. #2425C2×C43semidirect
781. #2419C2×C43semidirect
782. #2418C2×C43semidirect
783. #2337C2×C43semidirect
784. #2335C2×C43semidirect
785. #2334C2×C43semidirect
786. #2333C2×C43semidirect
787. C4×#123C2×C43semidirect
788. C4×#123C2×C43semidirect
789. C2×C4×C22⋊C4C2×C43semidirect
821. #401C22×C43semidirect
822. #400C22×C43semidirect
823. #400C22×C43semidirect
824. #400C22×C43semidirect
825. #400C22×C43semidirect
826. #400C22×C43semidirect
827. #400C22×C43semidirect
829. #398C22×C43semidirect
830. #398C22×C43semidirect
836. #397C22×C43semidirect
837. #397C22×C43semidirect
838. #397C22×C43semidirect
839. #397C22×C43semidirect
842. #396C22×C43semidirect
849. #394C22×C43semidirect
851. #393C22×C43semidirect
853. #391C22×C43semidirect
854. #391C22×C43semidirect
855. #391C22×C43semidirect
858. #390C22×C43semidirect
859. #390C22×C43semidirect
860. #389C22×C43semidirect
861. #389C22×C43semidirect
862. #389C22×C43semidirect
863. #389C22×C43semidirect
864. #389C22×C43semidirect
873. #388C22×C43semidirect
874. #388C22×C43semidirect
875. #388C22×C43semidirect
876. #388C22×C43semidirect
877. #388C22×C43semidirect
878. #388C22×C43semidirect
879. #388C22×C43semidirect
880. #388C22×C43semidirect
881. #388C22×C43semidirect
882. #388C22×C43semidirect
883. #388C22×C43semidirect
884. #387C22×C43semidirect
885. #387C22×C43semidirect
886. #387C22×C43semidirect
887. #387C22×C43semidirect
888. #387C22×C43semidirect
889. #387C22×C43semidirect
890. #387C22×C43semidirect
891. #387C22×C43semidirect
892. #387C22×C43semidirect
893. #387C22×C43semidirect
894. #387C22×C43semidirect
895. #387C22×C43semidirect
896. #387C22×C43semidirect
911. #386C22×C43semidirect
924. #385C22×C43semidirect
925. #383C22×C43semidirect
926. #382C22×C43semidirect
931. #381C22×C43semidirect
934. #380C22×C43semidirect
937. C4×C4⋊C4C22×C43semidirect
938. C4×C4⋊C4C22×C43semidirect
939. C4×C4⋊C4C22×C43semidirect
940. C4×C4⋊C4C22×C43semidirect
951. C4×C22⋊C4C22×C43semidirect
952. C4×C22⋊C4C22×C43semidirect
953. C4×C22⋊C4C22×C43semidirect
954. C4×C22⋊C4C22×C43semidirect
957. C43#35074direct (N × H)

Maximal subgroups

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

subgroupindex
C43×#28552
C43×#28542
C43×#28492
C43×#26532
C43×#26522
C43×#26492
C43×#26482
C43×#25972
C43×#25952
C43×#25892
C43×#25872
C43×#25782
C43×#25762
C43×#25592
C43×#25572
C43×#24932
C43×#24882
C43×#24802
C43×#24722
C43×#24252
C43×#24242
C43×#24192
C43×#24182
C43×#23372
C43×#23352
C43×#23342
C43×#23332
C4×#123×C432
C2×C4×C22⋊C4×C432
#3507443