Finite Group Databasebeta

← C43×#35075 #24955092

Subgroups — C43×#35075 #24955092

Order 11008.

1758 conjugacy classes of subgroups.

The subgroup lattice has 1398 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C43×#2855C211yesmaximal, characteristic, complemented
2C43×#2854C211yesmaximal, characteristic
3C43×#2853C211yesmaximal, characteristic, complemented
4C43×#2853C211yesmaximal, characteristic, complemented
5C43×#2655C211yesmaximal, characteristic, complemented
6C43×#2654C211yesmaximal, characteristic, complemented
7C43×#2651C211yesmaximal, characteristic, complemented
8C43×#2650C211yesmaximal, characteristic, complemented
9C43×#2596C211yesmaximal, characteristic, complemented
10C43×#2594C211yesmaximal, characteristic, complemented
11C43×#2590C211yesmaximal, characteristic, complemented
12C43×#2588C211yesmaximal, characteristic, complemented
13C43×#2577C211yesmaximal, characteristic, complemented
14C43×#2575C211yesmaximal, characteristic, complemented
15C43×#2560C211yesmaximal, characteristic, complemented
16C43×#2558C211yesmaximal, characteristic, complemented
17C43×#2510C211yesmaximal, characteristic, complemented
18C43×#2505C211yesmaximal, characteristic, complemented
19C43×#2481C211yesmaximal, characteristic, complemented
20C43×#2473C211yesmaximal, characteristic, complemented
21C43×#2450C211yesmaximal, characteristic, complemented
22C43×#2449C211yesmaximal, characteristic, complemented
23C43×#2444C211yesmaximal, characteristic
24C43×#2443C211yesmaximal, characteristic
25C43×#2336C211yesmaximal, characteristic, complemented
26C43×#2335C211yesmaximal, characteristic, complemented
27C43×#2334C211yesmaximal, characteristic, complemented
28C43×#2332C211yesmaximal, characteristic, complemented
29C4×#123×C43C211yesmaximal, characteristic, complemented
30C4×#123×C43C211yesmaximal, characteristic, complemented
31C2×C4×C4⋊C4×C43C211yesmaximal, characteristic, complemented
32C2×#126×C43C2211yescharacteristic
33C2×#125×C43C2211yescharacteristic
34C2×#123×C43C2211yescharacteristic
35C2×#123×C43C2211yescharacteristic
36C2×#123×C43C2211yescharacteristic
37C2×C22⋊Q8×C43C2211yescharacteristic
38C2×C22⋊Q8×C43C2211yescharacteristic
39C2×#121×C43C2211yescharacteristic
40C2×C4×D4×C43C2211yescharacteristic
41C2×C4×D4×C43C2211yescharacteristic
42C22×C4⋊C4×C43C2211yescharacteristic
43C22×C4⋊C4×C43C2211yescharacteristic
44C22×C42×C43C2211yescharacteristic
45C22×C42×C43C2211yescharacteristic
46C22×C42×C43C2211yescharacteristic
47C43×#401C2211yescharacteristic
48C43×#400C2211yescharacteristic
49C43×#400C2211yescharacteristic
50C43×#400C2211yescharacteristic
51C43×#400C2211yescharacteristic
52C43×#400C2211yescharacteristic
53C43×#400C2211yescharacteristic
54C43×#400C2211yescharacteristic
55C43×#400C2211yescharacteristic
56C43×#400C2211yescharacteristic
57C43×#399C2211yescharacteristic
58C43×#399C2211yescharacteristic
59C43×#398C2211yescharacteristic
60C43×#398C2211yescharacteristic
61C43×#398C2211yescharacteristic
62C43×#398C2211yescharacteristic
63C43×#398C2211yescharacteristic
64C43×#398C2211yescharacteristic
65C43×#398C2211yescharacteristic
66C43×#397C2211yescharacteristic
67C43×#397C2211yescharacteristic
68C43×#397C2211yescharacteristic
69C43×#397C2211yescharacteristic
70C43×#397C2211yescharacteristic
71C43×#397C2211yescharacteristic
72C43×#396C2211yescharacteristic
73C43×#396C2211yescharacteristic
74C43×#396C2211yescharacteristic
75C43×#395C2211yescharacteristic
76C43×#394C2211yescharacteristic
77C43×#394C2211yescharacteristic
78C43×#393C2211yescharacteristic
79C43×#391C2211yescharacteristic
80C43×#391C2211yescharacteristic
81C43×#391C2211yescharacteristic
82C43×#390C2211yescharacteristic
83C43×#390C2211yescharacteristic
84C43×#389C2211yescharacteristic
85C43×#389C2211yescharacteristic
86C43×#389C2211yescharacteristic
87C43×#389C2211yescharacteristic
88C43×#389C2211yescharacteristic
89C43×#389C2211yescharacteristic
90C43×#389C2211yescharacteristic
91C43×#388C2211yescharacteristic
92C43×#388C2211yescharacteristic
93C43×#388C2211yescharacteristic
94C43×#388C2211yescharacteristic
95C43×#388C2211yescharacteristic
96C43×#388C2211yescharacteristic
97C43×#388C2211yescharacteristic
98C43×#388C2211yescharacteristic
99C43×#388C2211yescharacteristic
100C43×#388C2211yescharacteristic
101C43×#388C2211yescharacteristic
102C43×#388C2211yescharacteristic
103C43×#388C2211yescharacteristic
104C43×#388C2211yescharacteristic
105C43×#388C2211yescharacteristic
106C43×#388C2211yescharacteristic
107C43×#388C2211yescharacteristic
108C43×#388C2211yescharacteristic
109C43×#388C2211yescharacteristic
110C43×#388C2211yescharacteristic
111C43×#388C2211yescharacteristic
112C43×#387C2211yescharacteristic
113C43×#387C2211yescharacteristic
114C43×#387C2211yescharacteristic
115C43×#387C2211yescharacteristic
116C43×#387C2211yescharacteristic
117C43×#387C2211yescharacteristic
118C43×#387C2211yescharacteristic
119C43×#387C2211yescharacteristic
120C43×#387C2211yescharacteristic
121C43×#387C2211yescharacteristic
122C43×#387C2211yescharacteristic
123C43×#387C2211yescharacteristic
124C43×#387C2211yescharacteristic
125C43×#387C2211yescharacteristic
126C43×#387C2211yescharacteristic
127C43×#387C2211yescharacteristic
128C43×#387C2211yescharacteristic
129C43×#387C2211yescharacteristic
130C43×#387C2211yescharacteristic
131C43×#387C2211yescharacteristic
132C43×#387C2211yescharacteristic
133C43×#387C2211yescharacteristic
134C43×#387C2211yescharacteristic
135C43×#387C2211yescharacteristic
136C43×#387C2211yescharacteristic
137C43×#387C2211yescharacteristic
138C43×#387C2211yescharacteristic
139C43×#386C2211yescharacteristic
140C43×#386C2211yescharacteristic
141C43×#386C2211yescharacteristic
142C43×#386C2211yescharacteristic
143C43×#386C2211yescharacteristic
144C43×#386C2211yescharacteristic
145C43×#386C2211yescharacteristic
146C43×#386C2211yescharacteristic
147C43×#386C2211yescharacteristic
148C43×#385C2211yescharacteristic
149C43×#385C2211yescharacteristic
150C43×#385C2211yescharacteristic
151C43×#385C2211yescharacteristic
152C43×#385C2211yescharacteristic
153C43×#385C2211yescharacteristic
154C43×#385C2211yescharacteristic
155C43×#385C2211yescharacteristic
156C43×#385C2211yescharacteristic
157C43×#385C2211yescharacteristic
158C43×#385C2211yescharacteristic
159C43×#383C2211yescharacteristic
160C43×#382C2211yescharacteristic
161C43×#381C2211yescharacteristic
162C43×#381C2211yescharacteristic
163C43×#381C2211yescharacteristic
164C43×#380C2211yescharacteristic
165C43×#380C2211yescharacteristic
166C43×#380C2211yescharacteristic
167C4×C4⋊C4×C43C2211yescharacteristic
168C4×C4⋊C4×C43C2211yescharacteristic
169C4×C4⋊C4×C43C2211yescharacteristic
170C4×C4⋊C4×C43C2211yescharacteristic
171C4×C4⋊C4×C43C2211yescharacteristic
172C4×C4⋊C4×C43C2211yescharacteristic
173C4×C4⋊C4×C43C2211yescharacteristic
174C4×C4⋊C4×C43C2211yescharacteristic
175C4×C4⋊C4×C43C2211yescharacteristic
176C4×C4⋊C4×C43C2211yescharacteristic
177C4×C4⋊C4×C43C2211yescharacteristic
178C4×C4⋊C4×C43C2211yescharacteristic
179C4×C22⋊C4×C43C2211yescharacteristic
180C4×C22⋊C4×C43C2211yescharacteristic
181C4×C22⋊C4×C43C2211yescharacteristic
182C4×C22⋊C4×C43C2211yescharacteristic
183C4×C22⋊C4×C43C2211yescharacteristic
184C4×C22⋊C4×C43C2211yescharacteristic
185C2×#95×C43C2211yescharacteristic
186C2×#95×C43C2211yescharacteristic
187C22×Q8×C43C2311yescharacteristic
188C22×D4×C43C2311yescharacteristic
189C22×D4×C43C2311yescharacteristic
190C22×D4×C43C2311yescharacteristic
191C23×C4×C43C2311yescharacteristic
192C23×C4×C43C2311yescharacteristic
193C23×C4×C43C2311yescharacteristic
194C23×C4×C43C2311yescharacteristic
195C23×C4×C43C2311yescharacteristic
196C23×C4×C43C2311yescharacteristic
197C23×C4×C43C2311yescharacteristic
198C23×C4×C43C2311yescharacteristic
199C23×C4×C43C2311yescharacteristic
200#126×C43—24no—
201#125×C43—24no—
202#123×C43—24no—
203#123×C43—24no—
204#123×C43—24no—
205C22⋊Q8×C43—24no—
206C22⋊Q8×C43—42no—
207#121×C43—42no—
208C4×D4×C43—42no—
209C4×D4×C43—42no—
210C2×C4⋊C4×C43—24no—
211C2×C4⋊C4×C43—24no—
212C2×C4⋊C4×C43C2311yescharacteristic
213C2×C4⋊C4×C43C2311yescharacteristic
214C2×C4⋊C4×C43C2311yescharacteristic
215C2×C4⋊C4×C43C2311yescharacteristic
216C2×C4⋊C4×C43C2311yescharacteristic
217C2×C4⋊C4×C43C2311yescharacteristic
218C2×C4⋊C4×C43C2311yescharacteristic
219C2×C4⋊C4×C43C2311yescharacteristic
220C2×C4⋊C4×C43C2311yescharacteristic
221C2×C4⋊C4×C43C2311yescharacteristic
222C2×C4⋊C4×C43C2311yescharacteristic
223C2×C4⋊C4×C43C2311yescharacteristic
224C2×C4⋊C4×C43C2311yescharacteristic
225C2×C4⋊C4×C43C2311yescharacteristic
226C2×C4⋊C4×C43C2311yescharacteristic
227C2×C4⋊C4×C43C2311yescharacteristic
228C2×C4⋊C4×C43C2311yescharacteristic
229C2×C4⋊C4×C43C2311yescharacteristic
230C2×C4⋊C4×C43C2311yescharacteristic
231C2×C4⋊C4×C43C2311yescharacteristic
232C2×C4⋊C4×C43C2311yescharacteristic
233C2×C4⋊C4×C43C2311yescharacteristic
234C2×C4⋊C4×C43C2311yescharacteristic
235C2×C4⋊C4×C43C2311yescharacteristic
236C2×C4⋊C4×C43C2311yescharacteristic
237C2×C4⋊C4×C43C2311yescharacteristic
238C2×C4⋊C4×C43C2311yescharacteristic
239C2×C4⋊C4×C43C2311yescharacteristic
240C2×C4⋊C4×C43C2311yescharacteristic
241C2×C4⋊C4×C43C2311yescharacteristic
242C2×C4⋊C4×C43C2311yescharacteristic
243C2×C4⋊C4×C43C2311yescharacteristic
244C2×C4⋊C4×C43C2311yescharacteristic
245C2×C4⋊C4×C43C2311yescharacteristic
246C2×C4⋊C4×C43C2311yescharacteristic
247C2×C4⋊C4×C43C2311yescharacteristic
248C2×C4⋊C4×C43C2311yescharacteristic
249C2×C4⋊C4×C43C2311yescharacteristic
250C2×C22⋊C4×C43C2311yescharacteristic
251C2×C22⋊C4×C43C2311yescharacteristic
252C2×C22⋊C4×C43C2311yescharacteristic
253C2×C22⋊C4×C43C2311yescharacteristic
254C2×C22⋊C4×C43C2311yescharacteristic
255C2×C22⋊C4×C43C2311yescharacteristic
256C2×C22⋊C4×C43C2311yescharacteristic
257C2×C22⋊C4×C43C2311yescharacteristic
258C2×C22⋊C4×C43C2311yescharacteristic
259C2×C22⋊C4×C43C2311yescharacteristic
260C2×C22⋊C4×C43C2311yescharacteristic
261C2×C22⋊C4×C43C2311yescharacteristic
262C2×C22⋊C4×C43C2311yescharacteristic
263C2×C22⋊C4×C43C2311yescharacteristic
264C2×C22⋊C4×C43C2311yescharacteristic
265C2×C22⋊C4×C43C2311yescharacteristic
266C2×C22⋊C4×C43C2311yescharacteristic
267C2×C22⋊C4×C43C2311yescharacteristic
268C2×C22⋊C4×C43C2311yescharacteristic
269C2×C22⋊C4×C43C2311yescharacteristic
270C2×C22⋊C4×C43C2311yescharacteristic
271C2×C22⋊C4×C43C2311yescharacteristic
272C2×C22⋊C4×C43C2311yescharacteristic
273C2×C22⋊C4×C43C2311yescharacteristic
274C2×C22⋊C4×C43C2311yescharacteristic
275C2×C22⋊C4×C43C2311yescharacteristic
276C2×C22⋊C4×C43C2311yescharacteristic
277C2×C22⋊C4×C43C2311yescharacteristic
278C2×C22⋊C4×C43C2311yescharacteristic
279C2×C22⋊C4×C43C2311yescharacteristic
280C2×C42×C43—24no—
281C2×C42×C43—42no—
282C2×C42×C43—42no—
283C2×C42×C43C2311yescharacteristic
284C2×C42×C43C2311yescharacteristic
285C2×C42×C43C2311yescharacteristic
286C2×C42×C43C2311yescharacteristic
287C2×C42×C43C2311yescharacteristic
288C2×C42×C43C2311yescharacteristic
289C2×C42×C43C2311yescharacteristic
290C2×C42×C43C2311yescharacteristic
291C2×C42×C43C2311yescharacteristic
292C2×C42×C43C2311yescharacteristic
293C2×C42×C43C2311yescharacteristic
294C2×C42×C43C2311yescharacteristic
295C2×C42×C43C2311yescharacteristic
296C2×C42×C43C2311yescharacteristic
297C2×C42×C43C2311yescharacteristic
298C2×C42×C43C2311yescharacteristic
299C2×C42×C43C2311yescharacteristic
300C2×C42×C43C2311yescharacteristic
301#95×C43C2311yescharacteristic
302#95×C43C2311yescharacteristic
303#95×C43C2311yescharacteristic
304#95×C43C2311yescharacteristic
305#95×C43C2311yescharacteristic
306#95×C43C2311yescharacteristic
307#95×C43C2311yescharacteristic
308#95×C43C2311yescharacteristic
309#95×C43C2311yescharacteristic
310#95×C43C2311yescharacteristic
311#95×C43C2311yescharacteristic
312#95×C43C2311yescharacteristic
313#95×C43C2311yescharacteristic
314#95×C43C2311yescharacteristic
315#95×C43C2311yescharacteristic
316#95×C43C2311yescharacteristic
317#95×C43C2311yescharacteristic
318#95×C43C2311yescharacteristic
319#95×C43C2311yescharacteristic
320#95×C43C2311yescharacteristic
321#95×C43C2311yescharacteristic
322#95×C43C2311yescharacteristic
323#95×C43C2311yescharacteristic
324#95×C43C2311yescharacteristic
325#95×C43C2311yescharacteristic
326#95×C43C2311yescharacteristic
327#95×C43C2311yescharacteristic
328#95×C43C2311yescharacteristic
329#95×C43C2311yescharacteristic
330#95×C43C2311yescharacteristic
331#95×C43C2311yescharacteristic
332#95×C43C2311yescharacteristic
333#95×C43C2311yescharacteristic
334#95×C43C2311yescharacteristic
335#95×C43C2311yescharacteristic
336#95×C43C2311yescharacteristic
337#95×C43C2311yescharacteristic
338#95×C43C2311yescharacteristic
339#95×C43C2311yescharacteristic
340#95×C43C2311yescharacteristic
341#95×C43C2311yescharacteristic
342#95×C43C2311yescharacteristic
343#95×C43C2311yescharacteristic
344#95×C43C2311yescharacteristic
345#95×C43C2311yescharacteristic
346#95×C43C2311yescharacteristic
347#95×C43C2311yescharacteristic
348#95×C43C2311yescharacteristic
349#95×C43C2311yescharacteristic
350#95×C43C2311yescharacteristic
351#95×C43C2311yescharacteristic
352#95×C43C2311yescharacteristic
353#95×C43C2311yescharacteristic
354#95×C43C2311yescharacteristic
355#95×C43C2311yescharacteristic
356#95×C43C2311yescharacteristic
357C24×C43C2411yescharacteristic
358C24×C43C2411yescharacteristic
359C24×C43C2411yescharacteristic
360C2×Q8×C43—22no—
361C2×Q8×C43—41no—
362C2×Q8×C43—41no—
363C2×D4×C43—22no—
364C2×D4×C43—22no—
365C2×D4×C43—22no—
366C2×D4×C43—22no—
367C2×D4×C43—22no—
368C2×D4×C43—22no—
369C2×D4×C43—22no—
370C2×D4×C43—41no—
371C2×D4×C43—41no—
372C22×C4×C43—22no—
373C22×C4×C43—22no—
374C22×C4×C43—22no—
375C22×C4×C43—22no—
376C22×C4×C43—22no—
377C22×C4×C43—22no—
378C22×C4×C43—22no—
379C22×C4×C43—22no—
380C22×C4×C43—22no—
381C22×C4×C43—22no—
382C22×C4×C43—22no—
383C22×C4×C43—22no—
384C22×C4×C43—22no—
385C22×C4×C43—22no—
386C22×C4×C43—22no—
387C22×C4×C43—22no—
388C22×C4×C43—41no—
389C22×C4×C43—41no—
390C22×C4×C43—41no—
391C22×C4×C43—41no—
392C22×C4×C43—41no—
393C22×C4×C43—41no—
394C22×C4×C43—41no—
395C22×C4×C43—41no—
396C22×C4×C43—41no—
397C22×C4×C43—41no—
398C22×C4×C43#4114yes—
399C22×C4×C43C2411yescharacteristic
400C22×C4×C43C2411yescharacteristic
401C22×C4×C43C2411yescharacteristic
402C22×C4×C43C2411yescharacteristic
403C22×C4×C43C2411yescharacteristic
404C22×C4×C43C2411yescharacteristic
405C22×C4×C43C2411yescharacteristic
406C22×C4×C43C2411yescharacteristic
407C22×C4×C43C2411yescharacteristic
408C22×C4×C43C2411yescharacteristic
409C22×C4×C43C2411yescharacteristic
410C22×C4×C43C2411yescharacteristic
411C22×C4×C43C2411yescharacteristic
412C22×C4×C43C2411yescharacteristic
413C22×C4×C43C2411yescharacteristic
414C22×C4×C43C2411yescharacteristic
415C22×C4×C43C2411yescharacteristic
416C22×C4×C43C2411yescharacteristic
417C22×C4×C43C2411yescharacteristic
418C22×C4×C43C2411yescharacteristic
419C22×C4×C43C2411yescharacteristic
420C22×C4×C43C2411yescharacteristic
421C22×C4×C43C2411yescharacteristic
422C22×C4×C43C2411yescharacteristic
423C22×C4×C43C2411yescharacteristic
424C22×C4×C43C2411yescharacteristic
425C22×C4×C43C2411yescharacteristic
426C22×C4×C43C2411yescharacteristic
427C4⋊C4×C43—22no—
428C4⋊C4×C43—22no—
429C4⋊C4×C43—22no—
430C4⋊C4×C43—22no—
431C4⋊C4×C43—22no—
432C4⋊C4×C43—22no—
433C4⋊C4×C43—22no—
434C4⋊C4×C43—22no—
435C4⋊C4×C43—22no—
436C4⋊C4×C43—22no—
437C4⋊C4×C43—22no—
438C4⋊C4×C43—22no—
439C4⋊C4×C43—22no—
440C4⋊C4×C43—22no—
441C4⋊C4×C43—22no—
442C4⋊C4×C43—22no—
443C4⋊C4×C43—22no—
444C4⋊C4×C43—22no—
445C4⋊C4×C43—22no—
446C4⋊C4×C43—22no—
447C4⋊C4×C43—41no—
448C4⋊C4×C43—41no—
449C4⋊C4×C43—41no—
450C4⋊C4×C43—41no—
451C4⋊C4×C43—41no—
452C4⋊C4×C43—41no—
453C4⋊C4×C43—41no—
454C4⋊C4×C43—41no—
455C4⋊C4×C43—41no—
456C4⋊C4×C43—41no—
457C4⋊C4×C43—41no—
458C4⋊C4×C43—41no—
459C4⋊C4×C43—41no—
460C4⋊C4×C43—41no—
461C4⋊C4×C43—41no—
462C4⋊C4×C43—41no—
463C4⋊C4×C43#4114yes—
464C4⋊C4×C43#4114yes—
465C22⋊C4×C43—22no—
466C22⋊C4×C43—22no—
467C22⋊C4×C43—22no—
468C22⋊C4×C43—22no—
469C22⋊C4×C43—22no—
470C22⋊C4×C43—22no—
471C22⋊C4×C43—22no—
472C22⋊C4×C43—22no—
473C22⋊C4×C43—22no—
474C22⋊C4×C43—22no—
475C22⋊C4×C43—22no—
476C22⋊C4×C43—22no—
477C22⋊C4×C43—22no—
478C22⋊C4×C43—22no—
479C22⋊C4×C43—22no—
480C22⋊C4×C43—22no—
481C22⋊C4×C43—22no—
482C22⋊C4×C43—22no—
483C22⋊C4×C43—41no—
484C22⋊C4×C43—41no—
485C22⋊C4×C43—41no—
486C22⋊C4×C43—41no—
487C22⋊C4×C43—41no—
488C22⋊C4×C43—41no—
489C22⋊C4×C43—41no—
490C22⋊C4×C43—41no—
491C22⋊C4×C43—41no—
492C22⋊C4×C43—41no—
493C22⋊C4×C43—41no—
494C22⋊C4×C43—41no—
495C42×C43—22no—
496C42×C43—22no—
497C42×C43—22no—
498C42×C43—22no—
499C42×C43—22no—
500C42×C43—22no—
501C42×C43—41no—
502C42×C43—41no—
503C42×C43—41no—
504C42×C43—41no—
505C42×C43—41no—
506C42×C43—41no—
507C42×C43—41no—
508C42×C43—41no—
509C42×C43—41no—
510C42×C43—41no—
511C42×C43—41no—
512C42×C43—41no—
513C23×C43—21no—
514C23×C43—21no—
515C23×C43—21no—
516C23×C43—21no—
517C23×C43—21no—
518C23×C43—21no—
519C23×C43—21no—
520C23×C43—21no—
521C23×C43—21no—
522C23×C43—21no—
523C23×C43—21no—
524C23×C43—21no—
525C23×C43—21no—
526C23×C43—21no—
527C23×C43—21no—
528C23×C43—21no—
529C23×C43—21no—
530C23×C43—21no—
531C23×C43C2×#4112yes—
532C23×C43H(5,𝔽2)12yes—
533C23×C432−1+412yes—
534C23×C43C2511yescharacteristic
535Q8×C43—82no—
536D4×C43—44no—
537D4×C43—44no—
538D4×C43—82no—
539C2×C4×C43—28no—
540C2×C4×C43—28no—
541C2×C4×C43—21no—
542C2×C4×C43—21no—
543C2×C4×C43—21no—
544C2×C4×C43—21no—
545C2×C4×C43—21no—
546C2×C4×C43—21no—
547C2×C4×C43—21no—
548C2×C4×C43—21no—
549C2×C4×C43—21no—
550C2×C4×C43—21no—
551C2×C4×C43—21no—
552C2×C4×C43—21no—
553C2×C4×C43—21no—
554C2×C4×C43—21no—
555C2×C4×C43—21no—
556C2×C4×C43—21no—
557C2×C4×C43—21no—
558C2×C4×C43—21no—
559C2×C4×C43—21no—
560C2×C4×C43—21no—
561C2×C4×C43—21no—
562C2×C4×C43—21no—
563C2×C4×C43—21no—
564C2×C4×C43—21no—
565C2×C4×C43—21no—
566C2×C4×C43—21no—
567C2×C4×C43—21no—
568C2×C4×C43—21no—
569C2×C4×C43—21no—
570C2×C4×C43—21no—
571C2×C4×C43—21no—
572C2×C4×C43—21no—
573C2×C4×C43—21no—
574C2×C4×C43—21no—
575C2×C4×C43—21no—
576C2×C4×C43—21no—
577C2×C4×C43—21no—
578C2×C4×C43—21no—
579C2×C4×C43—21no—
580C2×C4×C43—21no—
581C2×C4×C43—21no—
582C2×C4×C43—21no—
583C2×C4×C43—21no—
584C2×C4×C43—21no—
585C2×C4×C43—21no—
586C2×C4×C43—21no—
587C2×C4×C43—21no—
588C2×C4×C43—21no—
589C2×C4×C43—21no—
590C2×C4×C43—21no—
591C2×C4×C43—21no—
592C2×C4×C43—21no—
593C2×C4×C43—21no—
594C2×C4×C43—21no—
595C2×C4×C43—21no—
596C2×C4×C43—21no—
597C2×C4×C43—21no—
598C2×C4×C43—21no—
599C2×C4×C43—21no—
600C2×C4×C43—21no—
601C2×C4×C43—21no—
602C2×C4×C43—21no—
603C2×C4×C43—21no—
604C2×C4×C43—21no—
605C2×C4×C43—21no—
606C2×C4×C43—21no—
607C2×C4×C43—21no—
608C2×C4×C43—21no—
609C2×C4×C43—21no—
610C2×C4×C43—21no—
611C2×C4×C43—21no—
612C2×C4×C43—21no—
613C2×C4×C43—21no—
614C2×C4×C43—21no—
615C2×C4×C43—21no—
616C2×C4×C43—21no—
617C2×C4×C43—44no—
618C2×C4×C43—44no—
619C2×C4×C43—44no—
620C2×C4×C43—44no—
621C2×C4×C43—44no—
622C2×C4×C43—82no—
623C2×C4×C43—82no—
624C2×C4×C43C2×#4112yes—
625C2×C4×C43C2×#4112yes—
626C2×C4×C43C2×#4112yes—
627C2×C4×C43C2×#4112yes—
628C2×C4×C43C2×#4112yes—
629C2×C4×C43C2×#4112yes—
630C2×C4×C43C2×#4112yes—
631C2×C4×C43C2×#4112yes—
632#35075C4311yesmaximal, characteristic, direct product factor, Sylow
633C22×C43—22no—
634C22×C43—22no—
635C22×C43—22no—
636C22×C43—22no—
637C22×C43—22no—
638C22×C43—22no—
639C22×C43—41no—
640C22×C43—41no—
641C22×C43—41no—
642C22×C43—41no—
643C22×C43—41no—
644C22×C43—41no—
645C22×C43—41no—
646C22×C43—41no—
647C22×C43—41no—
648C22×C43—41no—
649C22×C43—41no—
650C22×C43—41no—
651C22×C43—41no—
652C22×C43—41no—
653C22×C43#53914yes—
654C22×C43C22×#4111yescharacteristic
655C22×C43C22×#4111yescharacteristic
656C22×C43C22×#4111yescharacteristic
657C22×C43C2×H(5,𝔽2)11yescharacteristic
658C22×C43C2×2−1+411yescharacteristic
659C22×C43#58511yescharacteristic
660C22×C43#58511yescharacteristic
661C4×C43—22no—
662C4×C43—22no—
663C4×C43—22no—
664C4×C43—22no—
665C4×C43—22no—
666C4×C43—22no—
667C4×C43—22no—
668C4×C43—22no—
669C4×C43—41no—
670C4×C43—41no—
671C4×C43—41no—
672C4×C43—41no—
673C4×C43—41no—
674C4×C43—41no—
675C4×C43—41no—
676C4×C43—41no—
677C4×C43—41no—
678C4×C43—41no—
679C4×C43—41no—
680C4×C43—41no—
681C4×C43—41no—
682C4×C43—41no—
683C4×C43—41no—
684C4×C43—41no—
685C4×C43—41no—
686C4×C43—41no—
687C4×C43—41no—
688C4×C43—41no—
689#2855C2×C4311yescharacteristic, complemented
690#2854C2×C4311yescharacteristic
691#2853C2×C4311yescharacteristic, complemented
692#2853C2×C4311yescharacteristic, complemented
693#2655C2×C4311yescharacteristic, complemented
694#2654C2×C4311yescharacteristic, complemented
695#2651C2×C4311yescharacteristic, complemented
696#2650C2×C4311yescharacteristic, complemented
697#2596C2×C4311yescharacteristic, complemented
698#2594C2×C4311yescharacteristic, complemented
699#2590C2×C4311yescharacteristic, complemented
700#2588C2×C4311yescharacteristic, complemented
701#2577C2×C4311yescharacteristic, complemented
702#2575C2×C4311yescharacteristic, complemented
703#2560C2×C4311yescharacteristic, complemented
704#2558C2×C4311yescharacteristic, complemented
705#2510C2×C4311yescharacteristic, complemented
706#2505C2×C4311yescharacteristic, complemented
707#2481C2×C4311yescharacteristic, complemented
708#2473C2×C4311yescharacteristic, complemented
709#2450C2×C4311yescharacteristic, complemented
710#2449C2×C4311yescharacteristic, complemented
711#2444C2×C4311yescharacteristic
712#2443C2×C4311yescharacteristic
713#2336C2×C4311yescharacteristic, complemented
714#2335C2×C4311yescharacteristic, complemented
715#2334C2×C4311yescharacteristic, complemented
716#2332C2×C4311yescharacteristic, complemented
717C4×#123C2×C4311yescharacteristic, complemented
718C4×#123C2×C4311yescharacteristic, complemented
719C2×C4×C4⋊C4C2×C4311yescharacteristic, complemented
720C2×C43—24no—
721C2×C43—81no—
722C2×C43—81no—
723C2×C43#344411yescharacteristic
724C2×C43C2×#53911yescharacteristic
725C2×C43#345511yescharacteristic
726C2×C43#351311yescharacteristic
727C2×C43#351311yescharacteristic
728C2×C43#351611yescharacteristic
729C2×C43#351611yescharacteristic
730C2×#126C22×C4311yescharacteristic
731C2×#125C22×C4311yescharacteristic
732C2×#123C22×C4311yescharacteristic
733C2×#123C22×C4311yescharacteristic
734C2×#123C22×C4311yescharacteristic
735C2×C22⋊Q8C22×C4311yescharacteristic
736C2×C22⋊Q8C22×C4311yescharacteristic
737C2×#121C22×C4311yescharacteristic
738C2×C4×D4C22×C4311yescharacteristic
739C2×C4×D4C22×C4311yescharacteristic
740C22×C4⋊C4C22×C4311yescharacteristic
741C22×C4⋊C4C22×C4311yescharacteristic
742C22×C42C22×C4311yescharacteristic
743C22×C42C22×C4311yescharacteristic
744C22×C42C22×C4311yescharacteristic
745#401C22×C4311yescharacteristic
746#400C22×C4311yescharacteristic
747#400C22×C4311yescharacteristic
748#400C22×C4311yescharacteristic
749#400C22×C4311yescharacteristic
750#400C22×C4311yescharacteristic
751#400C22×C4311yescharacteristic
752#400C22×C4311yescharacteristic
753#400C22×C4311yescharacteristic
754#400C22×C4311yescharacteristic
755#399C22×C4311yescharacteristic
756#399C22×C4311yescharacteristic
757#398C22×C4311yescharacteristic
758#398C22×C4311yescharacteristic
759#398C22×C4311yescharacteristic
760#398C22×C4311yescharacteristic
761#398C22×C4311yescharacteristic
762#398C22×C4311yescharacteristic
763#398C22×C4311yescharacteristic
764#397C22×C4311yescharacteristic
765#397C22×C4311yescharacteristic
766#397C22×C4311yescharacteristic
767#397C22×C4311yescharacteristic
768#397C22×C4311yescharacteristic
769#397C22×C4311yescharacteristic
770#396C22×C4311yescharacteristic
771#396C22×C4311yescharacteristic
772#396C22×C4311yescharacteristic
773#395C22×C4311yescharacteristic
774#394C22×C4311yescharacteristic
775#394C22×C4311yescharacteristic
776#393C22×C4311yescharacteristic
777#391C22×C4311yescharacteristic
778#391C22×C4311yescharacteristic
779#391C22×C4311yescharacteristic
780#390C22×C4311yescharacteristic
781#390C22×C4311yescharacteristic
782#389C22×C4311yescharacteristic
783#389C22×C4311yescharacteristic
784#389C22×C4311yescharacteristic
785#389C22×C4311yescharacteristic
786#389C22×C4311yescharacteristic
787#389C22×C4311yescharacteristic
788#389C22×C4311yescharacteristic
789#388C22×C4311yescharacteristic
790#388C22×C4311yescharacteristic
791#388C22×C4311yescharacteristic
792#388C22×C4311yescharacteristic
793#388C22×C4311yescharacteristic
794#388C22×C4311yescharacteristic
795#388C22×C4311yescharacteristic
796#388C22×C4311yescharacteristic
797#388C22×C4311yescharacteristic
798#388C22×C4311yescharacteristic
799#388C22×C4311yescharacteristic
800#388C22×C4311yescharacteristic
801#388C22×C4311yescharacteristic
802#388C22×C4311yescharacteristic
803#388C22×C4311yescharacteristic
804#388C22×C4311yescharacteristic
805#388C22×C4311yescharacteristic
806#388C22×C4311yescharacteristic
807#388C22×C4311yescharacteristic
808#388C22×C4311yescharacteristic
809#388C22×C4311yescharacteristic
810#387C22×C4311yescharacteristic
811#387C22×C4311yescharacteristic
812#387C22×C4311yescharacteristic
813#387C22×C4311yescharacteristic
814#387C22×C4311yescharacteristic
815#387C22×C4311yescharacteristic
816#387C22×C4311yescharacteristic
817#387C22×C4311yescharacteristic
818#387C22×C4311yescharacteristic
819#387C22×C4311yescharacteristic
820#387C22×C4311yescharacteristic
821#387C22×C4311yescharacteristic
822#387C22×C4311yescharacteristic
823#387C22×C4311yescharacteristic
824#387C22×C4311yescharacteristic
825#387C22×C4311yescharacteristic
826#387C22×C4311yescharacteristic
827#387C22×C4311yescharacteristic
828#387C22×C4311yescharacteristic
829#387C22×C4311yescharacteristic
830#387C22×C4311yescharacteristic
831#387C22×C4311yescharacteristic
832#387C22×C4311yescharacteristic
833#387C22×C4311yescharacteristic
834#387C22×C4311yescharacteristic
835#387C22×C4311yescharacteristic
836#387C22×C4311yescharacteristic
837#386C22×C4311yescharacteristic
838#386C22×C4311yescharacteristic
839#386C22×C4311yescharacteristic
840#386C22×C4311yescharacteristic
841#386C22×C4311yescharacteristic
842#386C22×C4311yescharacteristic
843#386C22×C4311yescharacteristic
844#386C22×C4311yescharacteristic
845#386C22×C4311yescharacteristic
846#385C22×C4311yescharacteristic
847#385C22×C4311yescharacteristic
848#385C22×C4311yescharacteristic
849#385C22×C4311yescharacteristic
850#385C22×C4311yescharacteristic
851#385C22×C4311yescharacteristic
852#385C22×C4311yescharacteristic
853#385C22×C4311yescharacteristic
854#385C22×C4311yescharacteristic
855#385C22×C4311yescharacteristic
856#385C22×C4311yescharacteristic
857#383C22×C4311yescharacteristic
858#382C22×C4311yescharacteristic
859#381C22×C4311yescharacteristic
860#381C22×C4311yescharacteristic
861#381C22×C4311yescharacteristic
862#380C22×C4311yescharacteristic
863#380C22×C4311yescharacteristic
864#380C22×C4311yescharacteristic
865C4×C4⋊C4C22×C4311yescharacteristic
866C4×C4⋊C4C22×C4311yescharacteristic
867C4×C4⋊C4C22×C4311yescharacteristic
868C4×C4⋊C4C22×C4311yescharacteristic
869C4×C4⋊C4C22×C4311yescharacteristic
870C4×C4⋊C4C22×C4311yescharacteristic
871C4×C4⋊C4C22×C4311yescharacteristic
872C4×C4⋊C4C22×C4311yescharacteristic
873C4×C4⋊C4C22×C4311yescharacteristic
874C4×C4⋊C4C22×C4311yescharacteristic
875C4×C4⋊C4C22×C4311yescharacteristic
876C4×C4⋊C4C22×C4311yescharacteristic
877C4×C22⋊C4C22×C4311yescharacteristic
878C4×C22⋊C4C22×C4311yescharacteristic
879C4×C22⋊C4C22×C4311yescharacteristic
880C4×C22⋊C4C22×C4311yescharacteristic
881C4×C22⋊C4C22×C4311yescharacteristic
882C4×C22⋊C4C22×C4311yescharacteristic
883C2×#95C22×C4311yescharacteristic
884C2×#95C22×C4311yescharacteristic
885C43#3507511yescharacteristic, direct product factor, Sylow
886C22×Q8C23×C4311yescharacteristic
887C22×D4C23×C4311yescharacteristic
888C22×D4C23×C4311yescharacteristic
889C22×D4C23×C4311yescharacteristic
890C23×C4C23×C4311yescharacteristic
891C23×C4C23×C4311yescharacteristic
892C23×C4C23×C4311yescharacteristic
893C23×C4C23×C4311yescharacteristic
894C23×C4C23×C4311yescharacteristic
895C23×C4C23×C4311yescharacteristic
896C23×C4C23×C4311yescharacteristic
897C23×C4C23×C4311yescharacteristic
898C23×C4C23×C4311yescharacteristic
899#126—24no—
900#125—24no—
901#123—24no—
902#123—24no—
903#123—24no—
904C22⋊Q8—24no—
905C22⋊Q8—42no—
906#121—42no—
907C4×D4—42no—
908C4×D4—42no—
909C2×C4⋊C4—24no—
910C2×C4⋊C4—24no—
911C2×C4⋊C4C23×C4311yescharacteristic
912C2×C4⋊C4C23×C4311yescharacteristic
913C2×C4⋊C4C23×C4311yescharacteristic
914C2×C4⋊C4C23×C4311yescharacteristic
915C2×C4⋊C4C23×C4311yescharacteristic
916C2×C4⋊C4C23×C4311yescharacteristic
917C2×C4⋊C4C23×C4311yescharacteristic
918C2×C4⋊C4C23×C4311yescharacteristic
919C2×C4⋊C4C23×C4311yescharacteristic
920C2×C4⋊C4C23×C4311yescharacteristic
921C2×C4⋊C4C23×C4311yescharacteristic
922C2×C4⋊C4C23×C4311yescharacteristic
923C2×C4⋊C4C23×C4311yescharacteristic
924C2×C4⋊C4C23×C4311yescharacteristic
925C2×C4⋊C4C23×C4311yescharacteristic
926C2×C4⋊C4C23×C4311yescharacteristic
927C2×C4⋊C4C23×C4311yescharacteristic
928C2×C4⋊C4C23×C4311yescharacteristic
929C2×C4⋊C4C23×C4311yescharacteristic
930C2×C4⋊C4C23×C4311yescharacteristic
931C2×C4⋊C4C23×C4311yescharacteristic
932C2×C4⋊C4C23×C4311yescharacteristic
933C2×C4⋊C4C23×C4311yescharacteristic
934C2×C4⋊C4C23×C4311yescharacteristic
935C2×C4⋊C4C23×C4311yescharacteristic
936C2×C4⋊C4C23×C4311yescharacteristic
937C2×C4⋊C4C23×C4311yescharacteristic
938C2×C4⋊C4C23×C4311yescharacteristic
939C2×C4⋊C4C23×C4311yescharacteristic
940C2×C4⋊C4C23×C4311yescharacteristic
941C2×C4⋊C4C23×C4311yescharacteristic
942C2×C4⋊C4C23×C4311yescharacteristic
943C2×C4⋊C4C23×C4311yescharacteristic
944C2×C4⋊C4C23×C4311yescharacteristic
945C2×C4⋊C4C23×C4311yescharacteristic
946C2×C4⋊C4C23×C4311yescharacteristic
947C2×C4⋊C4C23×C4311yescharacteristic
948C2×C4⋊C4C23×C4311yescharacteristic
949C2×C22⋊C4C23×C4311yescharacteristic
950C2×C22⋊C4C23×C4311yescharacteristic
951C2×C22⋊C4C23×C4311yescharacteristic
952C2×C22⋊C4C23×C4311yescharacteristic
953C2×C22⋊C4C23×C4311yescharacteristic
954C2×C22⋊C4C23×C4311yescharacteristic
955C2×C22⋊C4C23×C4311yescharacteristic
956C2×C22⋊C4C23×C4311yescharacteristic
957C2×C22⋊C4C23×C4311yescharacteristic
958C2×C22⋊C4C23×C4311yescharacteristic
959C2×C22⋊C4C23×C4311yescharacteristic
960C2×C22⋊C4C23×C4311yescharacteristic
961C2×C22⋊C4C23×C4311yescharacteristic
962C2×C22⋊C4C23×C4311yescharacteristic
963C2×C22⋊C4C23×C4311yescharacteristic
964C2×C22⋊C4C23×C4311yescharacteristic
965C2×C22⋊C4C23×C4311yescharacteristic
966C2×C22⋊C4C23×C4311yescharacteristic
967C2×C22⋊C4C23×C4311yescharacteristic
968C2×C22⋊C4C23×C4311yescharacteristic
969C2×C22⋊C4C23×C4311yescharacteristic
970C2×C22⋊C4C23×C4311yescharacteristic
971C2×C22⋊C4C23×C4311yescharacteristic
972C2×C22⋊C4C23×C4311yescharacteristic
973C2×C22⋊C4C23×C4311yescharacteristic
974C2×C22⋊C4C23×C4311yescharacteristic
975C2×C22⋊C4C23×C4311yescharacteristic
976C2×C22⋊C4C23×C4311yescharacteristic
977C2×C22⋊C4C23×C4311yescharacteristic
978C2×C22⋊C4C23×C4311yescharacteristic
979C2×C42—24no—
980C2×C42—42no—
981C2×C42—42no—
982C2×C42C23×C4311yescharacteristic
983C2×C42C23×C4311yescharacteristic
984C2×C42C23×C4311yescharacteristic
985C2×C42C23×C4311yescharacteristic
986C2×C42C23×C4311yescharacteristic
987C2×C42C23×C4311yescharacteristic
988C2×C42C23×C4311yescharacteristic
989C2×C42C23×C4311yescharacteristic
990C2×C42C23×C4311yescharacteristic
991C2×C42C23×C4311yescharacteristic
992C2×C42C23×C4311yescharacteristic
993C2×C42C23×C4311yescharacteristic
994C2×C42C23×C4311yescharacteristic
995C2×C42C23×C4311yescharacteristic
996C2×C42C23×C4311yescharacteristic
997C2×C42C23×C4311yescharacteristic
998C2×C42C23×C4311yescharacteristic
999C2×C42C23×C4311yescharacteristic
1000#95C23×C4311yescharacteristic
1001#95C23×C4311yescharacteristic
1002#95C23×C4311yescharacteristic
1003#95C23×C4311yescharacteristic
1004#95C23×C4311yescharacteristic
1005#95C23×C4311yescharacteristic
1006#95C23×C4311yescharacteristic
1007#95C23×C4311yescharacteristic
1008#95C23×C4311yescharacteristic
1009#95C23×C4311yescharacteristic
1010#95C23×C4311yescharacteristic
1011#95C23×C4311yescharacteristic
1012#95C23×C4311yescharacteristic
1013#95C23×C4311yescharacteristic
1014#95C23×C4311yescharacteristic
1015#95C23×C4311yescharacteristic
1016#95C23×C4311yescharacteristic
1017#95C23×C4311yescharacteristic
1018#95C23×C4311yescharacteristic
1019#95C23×C4311yescharacteristic
1020#95C23×C4311yescharacteristic
1021#95C23×C4311yescharacteristic
1022#95C23×C4311yescharacteristic
1023#95C23×C4311yescharacteristic
1024#95C23×C4311yescharacteristic
1025#95C23×C4311yescharacteristic
1026#95C23×C4311yescharacteristic
1027#95C23×C4311yescharacteristic
1028#95C23×C4311yescharacteristic
1029#95C23×C4311yescharacteristic
1030#95C23×C4311yescharacteristic
1031#95C23×C4311yescharacteristic
1032#95C23×C4311yescharacteristic
1033#95C23×C4311yescharacteristic
1034#95C23×C4311yescharacteristic
1035#95C23×C4311yescharacteristic
1036#95C23×C4311yescharacteristic
1037#95C23×C4311yescharacteristic
1038#95C23×C4311yescharacteristic
1039#95C23×C4311yescharacteristic
1040#95C23×C4311yescharacteristic
1041#95C23×C4311yescharacteristic
1042#95C23×C4311yescharacteristic
1043#95C23×C4311yescharacteristic
1044#95C23×C4311yescharacteristic
1045#95C23×C4311yescharacteristic
1046#95C23×C4311yescharacteristic
1047#95C23×C4311yescharacteristic
1048#95C23×C4311yescharacteristic
1049#95C23×C4311yescharacteristic
1050#95C23×C4311yescharacteristic
1051#95C23×C4311yescharacteristic
1052#95C23×C4311yescharacteristic
1053#95C23×C4311yescharacteristic
1054#95C23×C4311yescharacteristic
1055#95C23×C4311yescharacteristic
1056C24C24×C4311yescharacteristic
1057C24C24×C4311yescharacteristic
1058C24C24×C4311yescharacteristic
1059C2×Q8—22no—
1060C2×Q8—41no—
1061C2×Q8—41no—
1062C2×D4—22no—
1063C2×D4—22no—
1064C2×D4—22no—
1065C2×D4—22no—
1066C2×D4—22no—
1067C2×D4—22no—
1068C2×D4—22no—
1069C2×D4—41no—
1070C2×D4—41no—
1071C22×C4—22no—
1072C22×C4—22no—
1073C22×C4—22no—
1074C22×C4—22no—
1075C22×C4—22no—
1076C22×C4—22no—
1077C22×C4—22no—
1078C22×C4—22no—
1079C22×C4—22no—
1080C22×C4—22no—
1081C22×C4—22no—
1082C22×C4—22no—
1083C22×C4—22no—
1084C22×C4—22no—
1085C22×C4—22no—
1086C22×C4—22no—
1087C22×C4—41no—
1088C22×C4—41no—
1089C22×C4—41no—
1090C22×C4—41no—
1091C22×C4—41no—
1092C22×C4—41no—
1093C22×C4—41no—
1094C22×C4—41no—
1095C22×C4—41no—
1096C22×C4—41no—
1097C22×C4#41×C4314yes—
1098C22×C4C24×C4311yescharacteristic
1099C22×C4C24×C4311yescharacteristic
1100C22×C4C24×C4311yescharacteristic
1101C22×C4C24×C4311yescharacteristic
1102C22×C4C24×C4311yescharacteristic
1103C22×C4C24×C4311yescharacteristic
1104C22×C4C24×C4311yescharacteristic
1105C22×C4C24×C4311yescharacteristic
1106C22×C4C24×C4311yescharacteristic
1107C22×C4C24×C4311yescharacteristic
1108C22×C4C24×C4311yescharacteristic
1109C22×C4C24×C4311yescharacteristic
1110C22×C4C24×C4311yescharacteristic
1111C22×C4C24×C4311yescharacteristic
1112C22×C4C24×C4311yescharacteristic
1113C22×C4C24×C4311yescharacteristic
1114C22×C4C24×C4311yescharacteristic
1115C22×C4C24×C4311yescharacteristic
1116C22×C4C24×C4311yescharacteristic
1117C22×C4C24×C4311yescharacteristic
1118C22×C4C24×C4311yescharacteristic
1119C22×C4C24×C4311yescharacteristic
1120C22×C4C24×C4311yescharacteristic
1121C22×C4C24×C4311yescharacteristic
1122C22×C4C24×C4311yescharacteristic
1123C22×C4C24×C4311yescharacteristic
1124C22×C4C24×C4311yescharacteristic
1125C22×C4C24×C4311yescharacteristic
1126C4⋊C4—22no—
1127C4⋊C4—22no—
1128C4⋊C4—22no—
1129C4⋊C4—22no—
1130C4⋊C4—22no—
1131C4⋊C4—22no—
1132C4⋊C4—22no—
1133C4⋊C4—22no—
1134C4⋊C4—22no—
1135C4⋊C4—22no—
1136C4⋊C4—22no—
1137C4⋊C4—22no—
1138C4⋊C4—22no—
1139C4⋊C4—22no—
1140C4⋊C4—22no—
1141C4⋊C4—22no—
1142C4⋊C4—22no—
1143C4⋊C4—22no—
1144C4⋊C4—22no—
1145C4⋊C4—22no—
1146C4⋊C4—41no—
1147C4⋊C4—41no—
1148C4⋊C4—41no—
1149C4⋊C4—41no—
1150C4⋊C4—41no—
1151C4⋊C4—41no—
1152C4⋊C4—41no—
1153C4⋊C4—41no—
1154C4⋊C4—41no—
1155C4⋊C4—41no—
1156C4⋊C4—41no—
1157C4⋊C4—41no—
1158C4⋊C4—41no—
1159C4⋊C4—41no—
1160C4⋊C4—41no—
1161C4⋊C4—41no—
1162C4⋊C4#41×C4314yes—
1163C4⋊C4#41×C4314yes—
1164C22⋊C4—22no—
1165C22⋊C4—22no—
1166C22⋊C4—22no—
1167C22⋊C4—22no—
1168C22⋊C4—22no—
1169C22⋊C4—22no—
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—41no—
1183C22⋊C4—41no—
1184C22⋊C4—41no—
1185C22⋊C4—41no—
1186C22⋊C4—41no—
1187C22⋊C4—41no—
1188C22⋊C4—41no—
1189C22⋊C4—41no—
1190C22⋊C4—41no—
1191C22⋊C4—41no—
1192C22⋊C4—41no—
1193C22⋊C4—41no—
1194C42—22no—
1195C42—22no—
1196C42—22no—
1197C42—22no—
1198C42—22no—
1199C42—22no—
1200C42—41no—
1201C42—41no—
1202C42—41no—
1203C42—41no—
1204C42—41no—
1205C42—41no—
1206C42—41no—
1207C42—41no—
1208C42—41no—
1209C42—41no—
1210C42—41no—
1211C42—41no—
1212C23—21no—
1213C23—21no—
1214C23—21no—
1215C23—21no—
1216C23—21no—
1217C23—21no—
1218C23—21no—
1219C23—21no—
1220C23—21no—
1221C23—21no—
1222C23—21no—
1223C23—21no—
1224C23—21no—
1225C23—21no—
1226C23—21no—
1227C23—21no—
1228C23—21no—
1229C23—21no—
1230C23C2×#41×C4312yes—
1231C23H(5,𝔽2)×C4312yes—
1232C232−1+4×C4312yes—
1233C23C25×C4311yescharacteristic
1234Q8—82no—
1235D4—44no—
1236D4—44no—
1237D4—82no—
1238C2×C4—28no—
1239C2×C4—28no—
1240C2×C4—21no—
1241C2×C4—21no—
1242C2×C4—21no—
1243C2×C4—21no—
1244C2×C4—21no—
1245C2×C4—21no—
1246C2×C4—21no—
1247C2×C4—21no—
1248C2×C4—21no—
1249C2×C4—21no—
1250C2×C4—21no—
1251C2×C4—21no—
1252C2×C4—21no—
1253C2×C4—21no—
1254C2×C4—21no—
1255C2×C4—21no—
1256C2×C4—21no—
1257C2×C4—21no—
1258C2×C4—21no—
1259C2×C4—21no—
1260C2×C4—21no—
1261C2×C4—21no—
1262C2×C4—21no—
1263C2×C4—21no—
1264C2×C4—21no—
1265C2×C4—21no—
1266C2×C4—21no—
1267C2×C4—21no—
1268C2×C4—21no—
1269C2×C4—21no—
1270C2×C4—21no—
1271C2×C4—21no—
1272C2×C4—21no—
1273C2×C4—21no—
1274C2×C4—21no—
1275C2×C4—21no—
1276C2×C4—21no—
1277C2×C4—21no—
1278C2×C4—21no—
1279C2×C4—21no—
1280C2×C4—21no—
1281C2×C4—21no—
1282C2×C4—21no—
1283C2×C4—21no—
1284C2×C4—21no—
1285C2×C4—21no—
1286C2×C4—21no—
1287C2×C4—21no—
1288C2×C4—21no—
1289C2×C4—21no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—44no—
1317C2×C4—44no—
1318C2×C4—44no—
1319C2×C4—44no—
1320C2×C4—44no—
1321C2×C4—82no—
1322C2×C4—82no—
1323C2×C4C2×#41×C4312yes—
1324C2×C4C2×#41×C4312yes—
1325C2×C4C2×#41×C4312yes—
1326C2×C4C2×#41×C4312yes—
1327C2×C4C2×#41×C4312yes—
1328C2×C4C2×#41×C4312yes—
1329C2×C4C2×#41×C4312yes—
1330C2×C4C2×#41×C4312yes—
1331C22—22no—
1332C22—22no—
1333C22—22no—
1334C22—22no—
1335C22—22no—
1336C22—22no—
1337C22—41no—
1338C22—41no—
1339C22—41no—
1340C22—41no—
1341C22—41no—
1342C22—41no—
1343C22—41no—
1344C22—41no—
1345C22—41no—
1346C22—41no—
1347C22—41no—
1348C22—41no—
1349C22—41no—
1350C22—41no—
1351C22C43×#53914yes—
1352C22C22×#41×C4311yescharacteristic
1353C22C22×#41×C4311yescharacteristic
1354C22C22×#41×C4311yescharacteristic
1355C22C2×H(5,𝔽2)×C4311yescharacteristic
1356C22C2×2−1+4×C4311yescharacteristic
1357C22C43×#58511yescharacteristic
1358C22C43×#58511yescharacteristic
1359C4—22no—
1360C4—22no—
1361C4—22no—
1362C4—22no—
1363C4—22no—
1364C4—22no—
1365C4—22no—
1366C4—22no—
1367C4—41no—
1368C4—41no—
1369C4—41no—
1370C4—41no—
1371C4—41no—
1372C4—41no—
1373C4—41no—
1374C4—41no—
1375C4—41no—
1376C4—41no—
1377C4—41no—
1378C4—41no—
1379C4—41no—
1380C4—41no—
1381C4—41no—
1382C4—41no—
1383C4—41no—
1384C4—41no—
1385C4—41no—
1386C4—41no—
1387C2—24no—
1388C2—81no—
1389C2—81no—
1390C2C43×#344411yescharacteristic
1391C2C2×C43×#53911yescharacteristic
1392C2C43×#345511yescharacteristic
1393C2C43×#351311yescharacteristic
1394C2C43×#351311yescharacteristic
1395C2C43×#351611yescharacteristic
1396C2C43×#351611yescharacteristic
subgroupG/H
center, socleC23×C43C25
commutator, Frattini, cosocleC23C25×C43
prime radicalC2×#121×C43C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C43 ◁ G

Complements

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

NH ≅ G/Ntype
1. C43×#2855C2semidirect
3. C43×#2853C2semidirect
4. C43×#2853C2semidirect
5. C43×#2655C2semidirect
6. C43×#2654C2semidirect
7. C43×#2651C2semidirect
8. C43×#2650C2semidirect
9. C43×#2596C2semidirect
10. C43×#2594C2semidirect
11. C43×#2590C2semidirect
12. C43×#2588C2semidirect
13. C43×#2577C2semidirect
14. C43×#2575C2semidirect
15. C43×#2560C2semidirect
16. C43×#2558C2semidirect
17. C43×#2510C2semidirect
18. C43×#2505C2semidirect
19. C43×#2481C2semidirect
20. C43×#2473C2semidirect
21. C43×#2450C2semidirect
22. C43×#2449C2semidirect
25. C43×#2336C2semidirect
26. C43×#2335C2semidirect
27. C43×#2334C2semidirect
28. C43×#2332C2semidirect
29. C4×#123×C43C2semidirect
30. C4×#123×C43C2semidirect
31. C2×C4×C4⋊C4×C43C2semidirect
632. #35075C43direct (N × H)
689. #2855C2×C43semidirect
691. #2853C2×C43semidirect
692. #2853C2×C43semidirect
693. #2655C2×C43semidirect
694. #2654C2×C43semidirect
695. #2651C2×C43semidirect
696. #2650C2×C43semidirect
697. #2596C2×C43semidirect
698. #2594C2×C43semidirect
699. #2590C2×C43semidirect
700. #2588C2×C43semidirect
701. #2577C2×C43semidirect
702. #2575C2×C43semidirect
703. #2560C2×C43semidirect
704. #2558C2×C43semidirect
705. #2510C2×C43semidirect
706. #2505C2×C43semidirect
707. #2481C2×C43semidirect
708. #2473C2×C43semidirect
709. #2450C2×C43semidirect
710. #2449C2×C43semidirect
713. #2336C2×C43semidirect
714. #2335C2×C43semidirect
715. #2334C2×C43semidirect
716. #2332C2×C43semidirect
717. C4×#123C2×C43semidirect
718. C4×#123C2×C43semidirect
719. C2×C4×C4⋊C4C2×C43semidirect
885. C43#35075direct (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×#28532
C43×#26552
C43×#26542
C43×#26512
C43×#26502
C43×#25962
C43×#25942
C43×#25902
C43×#25882
C43×#25772
C43×#25752
C43×#25602
C43×#25582
C43×#25102
C43×#25052
C43×#24812
C43×#24732
C43×#24502
C43×#24492
C43×#24442
C43×#24432
C43×#23362
C43×#23352
C43×#23342
C43×#23322
C4×#123×C432
C2×C4×C4⋊C4×C432
#3507543