Finite Group Databasebeta

← C43×#35049 #24955066

Subgroups — C43×#35049 #24955066

Order 11008.

1780 conjugacy classes of subgroups.

The subgroup lattice has 1442 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C43×#2864C211yesmaximal, characteristic, complemented
2C43×#2860C211yesmaximal, characteristic, complemented
3C43×#2853C211yesmaximal, characteristic, complemented
4C43×#2852C211yesmaximal, characteristic, complemented
5C43×#2652C211yesmaximal, characteristic, complemented
6C43×#2648C211yesmaximal, characteristic, complemented
7C43×#2636C211yesmaximal, characteristic, complemented
8C43×#2636C211yesmaximal, characteristic, complemented
9C43×#2608C211yesmaximal, characteristic, complemented
10C43×#2602C211yesmaximal, characteristic, complemented
11C43×#2602C211yesmaximal, characteristic, complemented
12C43×#2600C211yesmaximal, characteristic, complemented
13C43×#2596C211yesmaximal, characteristic, complemented
14C43×#2587C211yesmaximal, characteristic, complemented
15C43×#2575C211yesmaximal, characteristic, complemented
16C43×#2559C211yesmaximal, characteristic, complemented
17C43×#2533C211yesmaximal, characteristic, complemented
18C43×#2526C211yesmaximal, characteristic, complemented
19C43×#2518C211yesmaximal, characteristic, complemented
20C43×#2479C211yesmaximal, characteristic, complemented
21C43×#2470C211yesmaximal, characteristic, complemented
22C43×#2466C211yesmaximal, characteristic, complemented
23C43×#2466C211yesmaximal, characteristic, complemented
24C43×#2456C211yesmaximal, characteristic
25C43×#2334C211yesmaximal, characteristic, complemented
26C43×#2334C211yesmaximal, characteristic, complemented
27C43×#2334C211yesmaximal, characteristic, complemented
28C43×#2333C211yesmaximal, characteristic, complemented
29C4×#123×C43C211yesmaximal, characteristic, complemented
30C43×#2290C211yesmaximal, characteristic, complemented
31C42×D4×C43C211yesmaximal, characteristic, complemented
32C2×#126×C43C2211yescharacteristic
33C2×#126×C43C2211yescharacteristic
34C2×#126×C43C2211yescharacteristic
35C2×#126×C43C2211yescharacteristic
36C2×#123×C43C2211yescharacteristic
37C2×#123×C43C2211yescharacteristic
38C2×#121×C43C2211yescharacteristic
39C2×C4×D4×C43C2211yescharacteristic
40C2×C4×D4×C43C2211yescharacteristic
41C2×C4×D4×C43C2211yescharacteristic
42C2×C4×D4×C43C2211yescharacteristic
43C2×C4×D4×C43C2211yescharacteristic
44C2×#117×C43C2211yescharacteristic
45C22×C42×C43C2211yescharacteristic
46C22×C42×C43C2211yescharacteristic
47C43×#400C2211yescharacteristic
48C43×#400C2211yescharacteristic
49C43×#400C2211yescharacteristic
50C43×#400C2211yescharacteristic
51C43×#400C2211yescharacteristic
52C43×#400C2211yescharacteristic
53C43×#399C2211yescharacteristic
54C43×#399C2211yescharacteristic
55C43×#398C2211yescharacteristic
56C43×#397C2211yescharacteristic
57C43×#397C2211yescharacteristic
58C43×#397C2211yescharacteristic
59C43×#397C2211yescharacteristic
60C43×#397C2211yescharacteristic
61C43×#396C2211yescharacteristic
62C43×#396C2211yescharacteristic
63C43×#396C2211yescharacteristic
64C43×#396C2211yescharacteristic
65C43×#396C2211yescharacteristic
66C43×#396C2211yescharacteristic
67C43×#394C2211yescharacteristic
68C43×#394C2211yescharacteristic
69C43×#394C2211yescharacteristic
70C43×#394C2211yescharacteristic
71C43×#394C2211yescharacteristic
72C43×#394C2211yescharacteristic
73C43×#394C2211yescharacteristic
74C43×#394C2211yescharacteristic
75C43×#394C2211yescharacteristic
76C43×#392C2211yescharacteristic
77C43×#392C2211yescharacteristic
78C43×#392C2211yescharacteristic
79C43×#390C2211yescharacteristic
80C43×#390C2211yescharacteristic
81C43×#390C2211yescharacteristic
82C43×#390C2211yescharacteristic
83C43×#389C2211yescharacteristic
84C43×#389C2211yescharacteristic
85C43×#389C2211yescharacteristic
86C43×#389C2211yescharacteristic
87C43×#389C2211yescharacteristic
88C43×#389C2211yescharacteristic
89C43×#389C2211yescharacteristic
90C43×#389C2211yescharacteristic
91C43×#389C2211yescharacteristic
92C43×#389C2211yescharacteristic
93C43×#389C2211yescharacteristic
94C43×#389C2211yescharacteristic
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×#388C2211yescharacteristic
113C43×#388C2211yescharacteristic
114C43×#388C2211yescharacteristic
115C43×#388C2211yescharacteristic
116C43×#388C2211yescharacteristic
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×#386C2211yescharacteristic
149C43×#385C2211yescharacteristic
150C43×#385C2211yescharacteristic
151C43×#385C2211yescharacteristic
152C43×#385C2211yescharacteristic
153C43×#385C2211yescharacteristic
154C43×#385C2211yescharacteristic
155C43×#385C2211yescharacteristic
156C43×#385C2211yescharacteristic
157C43×#385C2211yescharacteristic
158C43×#385C2211yescharacteristic
159C43×#385C2211yescharacteristic
160C43×#385C2211yescharacteristic
161C43×#383C2211yescharacteristic
162C43×#382C2211yescharacteristic
163C43×#382C2211yescharacteristic
164C43×#382C2211yescharacteristic
165C43×#381C2211yescharacteristic
166C43×#381C2211yescharacteristic
167C43×#381C2211yescharacteristic
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×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
184C4×C22⋊C4×C43C2211yescharacteristic
185C43×#376C2211yescharacteristic
186C43×C43C2211yescharacteristic
187C22×D4×C43C2311yescharacteristic
188C22×D4×C43C2311yescharacteristic
189C22×D4×C43C2311yescharacteristic
190C22×D4×C43C2311yescharacteristic
191C22×D4×C43C2311yescharacteristic
192C22×D4×C43C2311yescharacteristic
193C23×C4×C43C2311yescharacteristic
194C23×C4×C43C2311yescharacteristic
195C23×C4×C43C2311yescharacteristic
196C23×C4×C43C2311yescharacteristic
197C23×C4×C43C2311yescharacteristic
198C23×C4×C43C2311yescharacteristic
199C23×C4×C43C2311yescharacteristic
200C23×C4×C43C2311yescharacteristic
201#126×C43—24no—
202#126×C43—24no—
203#126×C43—24no—
204#126×C43—42no—
205#123×C43—24no—
206#123×C43—42no—
207#121×C43—24no—
208C4×D4×C43—24no—
209C4×D4×C43—24no—
210C4×D4×C43—24no—
211C4×D4×C43—24no—
212C4×D4×C43—42no—
213#117×C43—42no—
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×C22⋊C4×C43C2311yescharacteristic
249C2×C22⋊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×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×C42×C43—42no—
289C2×C42×C43—42no—
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
301C2×C42×C43C2311yescharacteristic
302C2×C42×C43C2311yescharacteristic
303C2×C42×C43C2311yescharacteristic
304C2×C42×C43C2311yescharacteristic
305C2×C42×C43C2311yescharacteristic
306C2×C42×C43C2311yescharacteristic
307C2×C42×C43C2311yescharacteristic
308C2×C42×C43C2311yescharacteristic
309#95×C43C2311yescharacteristic
310#95×C43C2311yescharacteristic
311#95×C43C2311yescharacteristic
312#95×C43C2311yescharacteristic
313#95×C43C2311yescharacteristic
314#95×C43C2311yescharacteristic
315#95×C43C2311yescharacteristic
316#95×C43C2311yescharacteristic
317#95×C43C2311yescharacteristic
318#95×C43C2311yescharacteristic
319#95×C43C2311yescharacteristic
320#95×C43C2311yescharacteristic
321#95×C43C2311yescharacteristic
322#95×C43C2311yescharacteristic
323#95×C43C2311yescharacteristic
324#95×C43C2311yescharacteristic
325#95×C43C2311yescharacteristic
326#95×C43C2311yescharacteristic
327#95×C43C2311yescharacteristic
328#95×C43C2311yescharacteristic
329#95×C43C2311yescharacteristic
330#95×C43C2311yescharacteristic
331#95×C43C2311yescharacteristic
332#95×C43C2311yescharacteristic
333#95×C43C2311yescharacteristic
334#95×C43C2311yescharacteristic
335#95×C43C2311yescharacteristic
336#95×C43C2311yescharacteristic
337#95×C43C2311yescharacteristic
338#95×C43C2311yescharacteristic
339#95×C43C2311yescharacteristic
340#95×C43C2311yescharacteristic
341#95×C43C2311yescharacteristic
342#95×C43C2311yescharacteristic
343#95×C43C2311yescharacteristic
344#95×C43C2311yescharacteristic
345#95×C43C2311yescharacteristic
346#95×C43C2311yescharacteristic
347#95×C43C2311yescharacteristic
348#95×C43C2311yescharacteristic
349#95×C43C2311yescharacteristic
350#95×C43C2311yescharacteristic
351#95×C43C2311yescharacteristic
352#95×C43C2311yescharacteristic
353#95×C43C2311yescharacteristic
354#95×C43C2311yescharacteristic
355#95×C43C2311yescharacteristic
356#95×C43C2311yescharacteristic
357C24×C43C2411yescharacteristic
358C24×C43C2411yescharacteristic
359C24×C43C2411yescharacteristic
360C24×C43C2411yescharacteristic
361C2×D4×C43—22no—
362C2×D4×C43—22no—
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—41no—
370C2×D4×C43—41no—
371C2×D4×C43—41no—
372C2×D4×C43—41no—
373C2×D4×C43—41no—
374C2×D4×C43—41no—
375C2×D4×C43—41no—
376C2×D4×C43—41no—
377C2×D4×C43—41no—
378C2×D4×C43—41no—
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—41no—
399C22×C4×C43—41no—
400C22×C4×C43—41no—
401C22×C4×C43—41no—
402C22×C4×C43#4114yes—
403C22×C4×C43C2411yescharacteristic
404C22×C4×C43C2411yescharacteristic
405C22×C4×C43C2411yescharacteristic
406C22×C4×C43C2411yescharacteristic
407C22×C4×C43C2411yescharacteristic
408C22×C4×C43C2411yescharacteristic
409C22×C4×C43C2411yescharacteristic
410C22×C4×C43C2411yescharacteristic
411C22×C4×C43C2411yescharacteristic
412C22×C4×C43C2411yescharacteristic
413C22×C4×C43C2411yescharacteristic
414C22×C4×C43C2411yescharacteristic
415C22×C4×C43C2411yescharacteristic
416C22×C4×C43C2411yescharacteristic
417C22×C4×C43C2411yescharacteristic
418C22×C4×C43C2411yescharacteristic
419C22×C4×C43C2411yescharacteristic
420C22×C4×C43C2411yescharacteristic
421C22×C4×C43C2411yescharacteristic
422C22×C4×C43C2411yescharacteristic
423C22×C4×C43C2411yescharacteristic
424C22×C4×C43C2411yescharacteristic
425C22×C4×C43C2411yescharacteristic
426C22×C4×C43C2411yescharacteristic
427C22×C4×C43C2411yescharacteristic
428C22×C4×C43C2411yescharacteristic
429C22×C4×C43C2411yescharacteristic
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—22no—
448C4⋊C4×C43—41no—
449C4⋊C4×C43—41no—
450C4⋊C4×C43—41no—
451C4⋊C4×C43—41no—
452C4⋊C4×C43—41no—
453C4⋊C4×C43—41no—
454C4⋊C4×C43—41no—
455C4⋊C4×C43—41no—
456C4⋊C4×C43—41no—
457C4⋊C4×C43—41no—
458C4⋊C4×C43—41no—
459C4⋊C4×C43—41no—
460C4⋊C4×C43—41no—
461C4⋊C4×C43—41no—
462C4⋊C4×C43—41no—
463C4⋊C4×C43—41no—
464C22⋊C4×C43—22no—
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—22no—
484C22⋊C4×C43—22no—
485C22⋊C4×C43—41no—
486C22⋊C4×C43—41no—
487C22⋊C4×C43—41no—
488C22⋊C4×C43—41no—
489C22⋊C4×C43—41no—
490C22⋊C4×C43—41no—
491C22⋊C4×C43—41no—
492C22⋊C4×C43—41no—
493C22⋊C4×C43—41no—
494C22⋊C4×C43—41no—
495C22⋊C4×C43—41no—
496C22⋊C4×C43—41no—
497C22⋊C4×C43—41no—
498C22⋊C4×C43—41no—
499C22⋊C4×C43—41no—
500C22⋊C4×C43—41no—
501C22⋊C4×C43—41no—
502C22⋊C4×C43—41no—
503C22⋊C4×C43#4114yes—
504C42×C43—22no—
505C42×C43—22no—
506C42×C43—22no—
507C42×C43—22no—
508C42×C43—22no—
509C42×C43—22no—
510C42×C43—22no—
511C42×C43—41no—
512C42×C43—41no—
513C42×C43—41no—
514C42×C43—41no—
515C42×C43—41no—
516C42×C43—41no—
517C42×C43—41no—
518C42×C43—41no—
519C42×C43—41no—
520C42×C43—41no—
521C42×C43—41no—
522C42×C43#4114yes—
523C23×C43—21no—
524C23×C43—21no—
525C23×C43—21no—
526C23×C43—21no—
527C23×C43—21no—
528C23×C43—21no—
529C23×C43—21no—
530C23×C43—21no—
531C23×C43—21no—
532C23×C43—21no—
533C23×C43—21no—
534C23×C43—21no—
535C23×C43—21no—
536C23×C43—21no—
537C23×C43—21no—
538C23×C43—21no—
539C23×C43—21no—
540C23×C43—21no—
541C23×C43—21no—
542C23×C43—21no—
543C23×C43—21no—
544C23×C43—21no—
545C23×C43—21no—
546C23×C43—21no—
547C23×C43—21no—
548C23×C43—21no—
549C23×C43C2×#4112yes—
550C23×C43C2×#4112yes—
551C23×C43C2511yescharacteristic
552D4×C43—28no—
553D4×C43—44no—
554D4×C43—44no—
555D4×C43—82no—
556D4×C43—82no—
557D4×C43—82no—
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—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—44no—
632C2×C4×C43—44no—
633C2×C4×C43—44no—
634C2×C4×C43—44no—
635C2×C4×C43—44no—
636C2×C4×C43—44no—
637C2×C4×C43—44no—
638C2×C4×C43—82no—
639C2×C4×C43C2×#4112yes—
640C2×C4×C43C2×#4112yes—
641C2×C4×C43C2×#4112yes—
642C2×C4×C43C2×#4112yes—
643C2×C4×C43C2×#4112yes—
644C2×C4×C43C2×#4112yes—
645C2×C4×C43C2×#4112yes—
646C2×C4×C43H(5,𝔽2)12yes—
647#35049C4311yesmaximal, characteristic, direct product factor, Sylow
648C22×C43—22no—
649C22×C43—22no—
650C22×C43—22no—
651C22×C43—22no—
652C22×C43—22no—
653C22×C43—22no—
654C22×C43—41no—
655C22×C43—41no—
656C22×C43—41no—
657C22×C43—41no—
658C22×C43—41no—
659C22×C43—41no—
660C22×C43—41no—
661C22×C43—41no—
662C22×C43—41no—
663C22×C43—41no—
664C22×C43—41no—
665C22×C43—41no—
666C22×C43—41no—
667C22×C43—41no—
668C22×C43—41no—
669C22×C43—41no—
670C22×C43—41no—
671C22×C43—41no—
672C22×C43—41no—
673C22×C43—41no—
674C22×C43—41no—
675C22×C43—41no—
676C22×C43C22×#4111yescharacteristic
677C22×C43C22×#4111yescharacteristic
678C22×C43C22×#4111yescharacteristic
679C22×C43C2×H(5,𝔽2)11yescharacteristic
680C22×C43#58511yescharacteristic
681C22×C43#58511yescharacteristic
682C22×C43#58511yescharacteristic
683C4×C43—22no—
684C4×C43—22no—
685C4×C43—22no—
686C4×C43—22no—
687C4×C43—22no—
688C4×C43—22no—
689C4×C43—22no—
690C4×C43—22no—
691C4×C43—41no—
692C4×C43—41no—
693C4×C43—41no—
694C4×C43—41no—
695C4×C43—41no—
696C4×C43—41no—
697C4×C43—41no—
698C4×C43—41no—
699C4×C43—41no—
700C4×C43—41no—
701C4×C43—41no—
702C4×C43—41no—
703C4×C43—41no—
704C4×C43—41no—
705C4×C43—41no—
706C4×C43—41no—
707C4×C43—41no—
708C4×C43—41no—
709C4×C43—41no—
710#2864C2×C4311yescharacteristic, complemented
711#2860C2×C4311yescharacteristic, complemented
712#2853C2×C4311yescharacteristic, complemented
713#2852C2×C4311yescharacteristic, complemented
714#2652C2×C4311yescharacteristic, complemented
715#2648C2×C4311yescharacteristic, complemented
716#2636C2×C4311yescharacteristic, complemented
717#2636C2×C4311yescharacteristic, complemented
718#2608C2×C4311yescharacteristic, complemented
719#2602C2×C4311yescharacteristic, complemented
720#2602C2×C4311yescharacteristic, complemented
721#2600C2×C4311yescharacteristic, complemented
722#2596C2×C4311yescharacteristic, complemented
723#2587C2×C4311yescharacteristic, complemented
724#2575C2×C4311yescharacteristic, complemented
725#2559C2×C4311yescharacteristic, complemented
726#2533C2×C4311yescharacteristic, complemented
727#2526C2×C4311yescharacteristic, complemented
728#2518C2×C4311yescharacteristic, complemented
729#2479C2×C4311yescharacteristic, complemented
730#2470C2×C4311yescharacteristic, complemented
731#2466C2×C4311yescharacteristic, complemented
732#2466C2×C4311yescharacteristic, complemented
733#2456C2×C4311yescharacteristic
734#2334C2×C4311yescharacteristic, complemented
735#2334C2×C4311yescharacteristic, complemented
736#2334C2×C4311yescharacteristic, complemented
737#2333C2×C4311yescharacteristic, complemented
738C4×#123C2×C4311yescharacteristic, complemented
739#2290C2×C4311yescharacteristic, complemented
740C42×D4C2×C4311yescharacteristic, complemented
741C2×C43—42no—
742C2×C43—42no—
743C2×C43—81no—
744C2×C43—81no—
745C2×C43#344411yescharacteristic
746C2×C43#345511yescharacteristic
747C2×C43#345911yescharacteristic
748C2×C43#350611yescharacteristic
749C2×C43#351211yescharacteristic
750C2×C43#351311yescharacteristic
751C2×C43#352111yescharacteristic
752C2×#126C22×C4311yescharacteristic
753C2×#126C22×C4311yescharacteristic
754C2×#126C22×C4311yescharacteristic
755C2×#126C22×C4311yescharacteristic
756C2×#123C22×C4311yescharacteristic
757C2×#123C22×C4311yescharacteristic
758C2×#121C22×C4311yescharacteristic
759C2×C4×D4C22×C4311yescharacteristic
760C2×C4×D4C22×C4311yescharacteristic
761C2×C4×D4C22×C4311yescharacteristic
762C2×C4×D4C22×C4311yescharacteristic
763C2×C4×D4C22×C4311yescharacteristic
764C2×#117C22×C4311yescharacteristic
765C22×C42C22×C4311yescharacteristic
766C22×C42C22×C4311yescharacteristic
767#400C22×C4311yescharacteristic
768#400C22×C4311yescharacteristic
769#400C22×C4311yescharacteristic
770#400C22×C4311yescharacteristic
771#400C22×C4311yescharacteristic
772#400C22×C4311yescharacteristic
773#399C22×C4311yescharacteristic
774#399C22×C4311yescharacteristic
775#398C22×C4311yescharacteristic
776#397C22×C4311yescharacteristic
777#397C22×C4311yescharacteristic
778#397C22×C4311yescharacteristic
779#397C22×C4311yescharacteristic
780#397C22×C4311yescharacteristic
781#396C22×C4311yescharacteristic
782#396C22×C4311yescharacteristic
783#396C22×C4311yescharacteristic
784#396C22×C4311yescharacteristic
785#396C22×C4311yescharacteristic
786#396C22×C4311yescharacteristic
787#394C22×C4311yescharacteristic
788#394C22×C4311yescharacteristic
789#394C22×C4311yescharacteristic
790#394C22×C4311yescharacteristic
791#394C22×C4311yescharacteristic
792#394C22×C4311yescharacteristic
793#394C22×C4311yescharacteristic
794#394C22×C4311yescharacteristic
795#394C22×C4311yescharacteristic
796#392C22×C4311yescharacteristic
797#392C22×C4311yescharacteristic
798#392C22×C4311yescharacteristic
799#390C22×C4311yescharacteristic
800#390C22×C4311yescharacteristic
801#390C22×C4311yescharacteristic
802#390C22×C4311yescharacteristic
803#389C22×C4311yescharacteristic
804#389C22×C4311yescharacteristic
805#389C22×C4311yescharacteristic
806#389C22×C4311yescharacteristic
807#389C22×C4311yescharacteristic
808#389C22×C4311yescharacteristic
809#389C22×C4311yescharacteristic
810#389C22×C4311yescharacteristic
811#389C22×C4311yescharacteristic
812#389C22×C4311yescharacteristic
813#389C22×C4311yescharacteristic
814#389C22×C4311yescharacteristic
815#388C22×C4311yescharacteristic
816#388C22×C4311yescharacteristic
817#388C22×C4311yescharacteristic
818#388C22×C4311yescharacteristic
819#388C22×C4311yescharacteristic
820#388C22×C4311yescharacteristic
821#388C22×C4311yescharacteristic
822#388C22×C4311yescharacteristic
823#388C22×C4311yescharacteristic
824#388C22×C4311yescharacteristic
825#388C22×C4311yescharacteristic
826#388C22×C4311yescharacteristic
827#388C22×C4311yescharacteristic
828#388C22×C4311yescharacteristic
829#388C22×C4311yescharacteristic
830#388C22×C4311yescharacteristic
831#388C22×C4311yescharacteristic
832#388C22×C4311yescharacteristic
833#388C22×C4311yescharacteristic
834#388C22×C4311yescharacteristic
835#388C22×C4311yescharacteristic
836#388C22×C4311yescharacteristic
837#387C22×C4311yescharacteristic
838#387C22×C4311yescharacteristic
839#387C22×C4311yescharacteristic
840#387C22×C4311yescharacteristic
841#387C22×C4311yescharacteristic
842#387C22×C4311yescharacteristic
843#387C22×C4311yescharacteristic
844#387C22×C4311yescharacteristic
845#387C22×C4311yescharacteristic
846#387C22×C4311yescharacteristic
847#387C22×C4311yescharacteristic
848#387C22×C4311yescharacteristic
849#387C22×C4311yescharacteristic
850#387C22×C4311yescharacteristic
851#387C22×C4311yescharacteristic
852#387C22×C4311yescharacteristic
853#387C22×C4311yescharacteristic
854#387C22×C4311yescharacteristic
855#387C22×C4311yescharacteristic
856#387C22×C4311yescharacteristic
857#387C22×C4311yescharacteristic
858#387C22×C4311yescharacteristic
859#386C22×C4311yescharacteristic
860#386C22×C4311yescharacteristic
861#386C22×C4311yescharacteristic
862#386C22×C4311yescharacteristic
863#386C22×C4311yescharacteristic
864#386C22×C4311yescharacteristic
865#386C22×C4311yescharacteristic
866#386C22×C4311yescharacteristic
867#386C22×C4311yescharacteristic
868#386C22×C4311yescharacteristic
869#385C22×C4311yescharacteristic
870#385C22×C4311yescharacteristic
871#385C22×C4311yescharacteristic
872#385C22×C4311yescharacteristic
873#385C22×C4311yescharacteristic
874#385C22×C4311yescharacteristic
875#385C22×C4311yescharacteristic
876#385C22×C4311yescharacteristic
877#385C22×C4311yescharacteristic
878#385C22×C4311yescharacteristic
879#385C22×C4311yescharacteristic
880#385C22×C4311yescharacteristic
881#383C22×C4311yescharacteristic
882#382C22×C4311yescharacteristic
883#382C22×C4311yescharacteristic
884#382C22×C4311yescharacteristic
885#381C22×C4311yescharacteristic
886#381C22×C4311yescharacteristic
887#381C22×C4311yescharacteristic
888C4×C4⋊C4C22×C4311yescharacteristic
889C4×C4⋊C4C22×C4311yescharacteristic
890C4×C4⋊C4C22×C4311yescharacteristic
891C4×C4⋊C4C22×C4311yescharacteristic
892C4×C4⋊C4C22×C4311yescharacteristic
893C4×C4⋊C4C22×C4311yescharacteristic
894C4×C22⋊C4C22×C4311yescharacteristic
895C4×C22⋊C4C22×C4311yescharacteristic
896C4×C22⋊C4C22×C4311yescharacteristic
897C4×C22⋊C4C22×C4311yescharacteristic
898C4×C22⋊C4C22×C4311yescharacteristic
899C4×C22⋊C4C22×C4311yescharacteristic
900C4×C22⋊C4C22×C4311yescharacteristic
901C4×C22⋊C4C22×C4311yescharacteristic
902C4×C22⋊C4C22×C4311yescharacteristic
903C4×C22⋊C4C22×C4311yescharacteristic
904C4×C22⋊C4C22×C4311yescharacteristic
905#376C22×C4311yescharacteristic
906C43C22×C4311yescharacteristic
907C43#3504911yescharacteristic, direct product factor, Sylow
908C22×D4C23×C4311yescharacteristic
909C22×D4C23×C4311yescharacteristic
910C22×D4C23×C4311yescharacteristic
911C22×D4C23×C4311yescharacteristic
912C22×D4C23×C4311yescharacteristic
913C22×D4C23×C4311yescharacteristic
914C23×C4C23×C4311yescharacteristic
915C23×C4C23×C4311yescharacteristic
916C23×C4C23×C4311yescharacteristic
917C23×C4C23×C4311yescharacteristic
918C23×C4C23×C4311yescharacteristic
919C23×C4C23×C4311yescharacteristic
920C23×C4C23×C4311yescharacteristic
921C23×C4C23×C4311yescharacteristic
922#126—24no—
923#126—24no—
924#126—24no—
925#126—42no—
926#123—24no—
927#123—42no—
928#121—24no—
929C4×D4—24no—
930C4×D4—24no—
931C4×D4—24no—
932C4×D4—24no—
933C4×D4—42no—
934#117—42no—
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×C4⋊C4C23×C4311yescharacteristic
950C2×C4⋊C4C23×C4311yescharacteristic
951C2×C4⋊C4C23×C4311yescharacteristic
952C2×C4⋊C4C23×C4311yescharacteristic
953C2×C4⋊C4C23×C4311yescharacteristic
954C2×C4⋊C4C23×C4311yescharacteristic
955C2×C4⋊C4C23×C4311yescharacteristic
956C2×C4⋊C4C23×C4311yescharacteristic
957C2×C4⋊C4C23×C4311yescharacteristic
958C2×C4⋊C4C23×C4311yescharacteristic
959C2×C4⋊C4C23×C4311yescharacteristic
960C2×C4⋊C4C23×C4311yescharacteristic
961C2×C4⋊C4C23×C4311yescharacteristic
962C2×C4⋊C4C23×C4311yescharacteristic
963C2×C4⋊C4C23×C4311yescharacteristic
964C2×C4⋊C4C23×C4311yescharacteristic
965C2×C4⋊C4C23×C4311yescharacteristic
966C2×C4⋊C4C23×C4311yescharacteristic
967C2×C4⋊C4C23×C4311yescharacteristic
968C2×C4⋊C4C23×C4311yescharacteristic
969C2×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×C22⋊C4C23×C4311yescharacteristic
980C2×C22⋊C4C23×C4311yescharacteristic
981C2×C22⋊C4C23×C4311yescharacteristic
982C2×C22⋊C4C23×C4311yescharacteristic
983C2×C22⋊C4C23×C4311yescharacteristic
984C2×C22⋊C4C23×C4311yescharacteristic
985C2×C22⋊C4C23×C4311yescharacteristic
986C2×C22⋊C4C23×C4311yescharacteristic
987C2×C22⋊C4C23×C4311yescharacteristic
988C2×C22⋊C4C23×C4311yescharacteristic
989C2×C22⋊C4C23×C4311yescharacteristic
990C2×C22⋊C4C23×C4311yescharacteristic
991C2×C22⋊C4C23×C4311yescharacteristic
992C2×C22⋊C4C23×C4311yescharacteristic
993C2×C22⋊C4C23×C4311yescharacteristic
994C2×C22⋊C4C23×C4311yescharacteristic
995C2×C22⋊C4C23×C4311yescharacteristic
996C2×C22⋊C4C23×C4311yescharacteristic
997C2×C22⋊C4C23×C4311yescharacteristic
998C2×C22⋊C4C23×C4311yescharacteristic
999C2×C22⋊C4C23×C4311yescharacteristic
1000C2×C22⋊C4C23×C4311yescharacteristic
1001C2×C22⋊C4C23×C4311yescharacteristic
1002C2×C22⋊C4C23×C4311yescharacteristic
1003C2×C22⋊C4C23×C4311yescharacteristic
1004C2×C22⋊C4C23×C4311yescharacteristic
1005C2×C22⋊C4C23×C4311yescharacteristic
1006C2×C22⋊C4C23×C4311yescharacteristic
1007C2×C22⋊C4C23×C4311yescharacteristic
1008C2×C22⋊C4C23×C4311yescharacteristic
1009C2×C42—42no—
1010C2×C42—42no—
1011C2×C42C23×C4311yescharacteristic
1012C2×C42C23×C4311yescharacteristic
1013C2×C42C23×C4311yescharacteristic
1014C2×C42C23×C4311yescharacteristic
1015C2×C42C23×C4311yescharacteristic
1016C2×C42C23×C4311yescharacteristic
1017C2×C42C23×C4311yescharacteristic
1018C2×C42C23×C4311yescharacteristic
1019C2×C42C23×C4311yescharacteristic
1020C2×C42C23×C4311yescharacteristic
1021C2×C42C23×C4311yescharacteristic
1022C2×C42C23×C4311yescharacteristic
1023C2×C42C23×C4311yescharacteristic
1024C2×C42C23×C4311yescharacteristic
1025C2×C42C23×C4311yescharacteristic
1026C2×C42C23×C4311yescharacteristic
1027C2×C42C23×C4311yescharacteristic
1028C2×C42C23×C4311yescharacteristic
1029C2×C42C23×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
1056#95C23×C4311yescharacteristic
1057#95C23×C4311yescharacteristic
1058#95C23×C4311yescharacteristic
1059#95C23×C4311yescharacteristic
1060#95C23×C4311yescharacteristic
1061#95C23×C4311yescharacteristic
1062#95C23×C4311yescharacteristic
1063#95C23×C4311yescharacteristic
1064#95C23×C4311yescharacteristic
1065#95C23×C4311yescharacteristic
1066#95C23×C4311yescharacteristic
1067#95C23×C4311yescharacteristic
1068#95C23×C4311yescharacteristic
1069#95C23×C4311yescharacteristic
1070#95C23×C4311yescharacteristic
1071#95C23×C4311yescharacteristic
1072#95C23×C4311yescharacteristic
1073#95C23×C4311yescharacteristic
1074#95C23×C4311yescharacteristic
1075#95C23×C4311yescharacteristic
1076#95C23×C4311yescharacteristic
1077#95C23×C4311yescharacteristic
1078C24C24×C4311yescharacteristic
1079C24C24×C4311yescharacteristic
1080C24C24×C4311yescharacteristic
1081C24C24×C4311yescharacteristic
1082C2×D4—22no—
1083C2×D4—22no—
1084C2×D4—22no—
1085C2×D4—22no—
1086C2×D4—22no—
1087C2×D4—22no—
1088C2×D4—22no—
1089C2×D4—22no—
1090C2×D4—41no—
1091C2×D4—41no—
1092C2×D4—41no—
1093C2×D4—41no—
1094C2×D4—41no—
1095C2×D4—41no—
1096C2×D4—41no—
1097C2×D4—41no—
1098C2×D4—41no—
1099C2×D4—41no—
1100C22×C4—22no—
1101C22×C4—22no—
1102C22×C4—22no—
1103C22×C4—22no—
1104C22×C4—22no—
1105C22×C4—22no—
1106C22×C4—22no—
1107C22×C4—22no—
1108C22×C4—22no—
1109C22×C4—41no—
1110C22×C4—41no—
1111C22×C4—41no—
1112C22×C4—41no—
1113C22×C4—41no—
1114C22×C4—41no—
1115C22×C4—41no—
1116C22×C4—41no—
1117C22×C4—41no—
1118C22×C4—41no—
1119C22×C4—41no—
1120C22×C4—41no—
1121C22×C4—41no—
1122C22×C4—41no—
1123C22×C4#41×C4314yes—
1124C22×C4C24×C4311yescharacteristic
1125C22×C4C24×C4311yescharacteristic
1126C22×C4C24×C4311yescharacteristic
1127C22×C4C24×C4311yescharacteristic
1128C22×C4C24×C4311yescharacteristic
1129C22×C4C24×C4311yescharacteristic
1130C22×C4C24×C4311yescharacteristic
1131C22×C4C24×C4311yescharacteristic
1132C22×C4C24×C4311yescharacteristic
1133C22×C4C24×C4311yescharacteristic
1134C22×C4C24×C4311yescharacteristic
1135C22×C4C24×C4311yescharacteristic
1136C22×C4C24×C4311yescharacteristic
1137C22×C4C24×C4311yescharacteristic
1138C22×C4C24×C4311yescharacteristic
1139C22×C4C24×C4311yescharacteristic
1140C22×C4C24×C4311yescharacteristic
1141C22×C4C24×C4311yescharacteristic
1142C22×C4C24×C4311yescharacteristic
1143C22×C4C24×C4311yescharacteristic
1144C22×C4C24×C4311yescharacteristic
1145C22×C4C24×C4311yescharacteristic
1146C22×C4C24×C4311yescharacteristic
1147C22×C4C24×C4311yescharacteristic
1148C22×C4C24×C4311yescharacteristic
1149C22×C4C24×C4311yescharacteristic
1150C22×C4C24×C4311yescharacteristic
1151C4⋊C4—22no—
1152C4⋊C4—22no—
1153C4⋊C4—22no—
1154C4⋊C4—22no—
1155C4⋊C4—22no—
1156C4⋊C4—22no—
1157C4⋊C4—22no—
1158C4⋊C4—22no—
1159C4⋊C4—22no—
1160C4⋊C4—22no—
1161C4⋊C4—22no—
1162C4⋊C4—22no—
1163C4⋊C4—22no—
1164C4⋊C4—22no—
1165C4⋊C4—22no—
1166C4⋊C4—22no—
1167C4⋊C4—22no—
1168C4⋊C4—22no—
1169C4⋊C4—41no—
1170C4⋊C4—41no—
1171C4⋊C4—41no—
1172C4⋊C4—41no—
1173C4⋊C4—41no—
1174C4⋊C4—41no—
1175C4⋊C4—41no—
1176C4⋊C4—41no—
1177C4⋊C4—41no—
1178C4⋊C4—41no—
1179C4⋊C4—41no—
1180C4⋊C4—41no—
1181C4⋊C4—41no—
1182C4⋊C4—41no—
1183C4⋊C4—41no—
1184C4⋊C4—41no—
1185C22⋊C4—22no—
1186C22⋊C4—22no—
1187C22⋊C4—22no—
1188C22⋊C4—22no—
1189C22⋊C4—22no—
1190C22⋊C4—22no—
1191C22⋊C4—22no—
1192C22⋊C4—22no—
1193C22⋊C4—22no—
1194C22⋊C4—22no—
1195C22⋊C4—22no—
1196C22⋊C4—22no—
1197C22⋊C4—22no—
1198C22⋊C4—22no—
1199C22⋊C4—22no—
1200C22⋊C4—22no—
1201C22⋊C4—22no—
1202C22⋊C4—22no—
1203C22⋊C4—22no—
1204C22⋊C4—22no—
1205C22⋊C4—22no—
1206C22⋊C4—41no—
1207C22⋊C4—41no—
1208C22⋊C4—41no—
1209C22⋊C4—41no—
1210C22⋊C4—41no—
1211C22⋊C4—41no—
1212C22⋊C4—41no—
1213C22⋊C4—41no—
1214C22⋊C4—41no—
1215C22⋊C4—41no—
1216C22⋊C4—41no—
1217C22⋊C4—41no—
1218C22⋊C4—41no—
1219C22⋊C4—41no—
1220C22⋊C4—41no—
1221C22⋊C4—41no—
1222C22⋊C4—41no—
1223C22⋊C4—41no—
1224C22⋊C4#41×C4314yes—
1225C42—22no—
1226C42—22no—
1227C42—22no—
1228C42—22no—
1229C42—22no—
1230C42—22no—
1231C42—22no—
1232C42—41no—
1233C42—41no—
1234C42—41no—
1235C42—41no—
1236C42—41no—
1237C42—41no—
1238C42—41no—
1239C42—41no—
1240C42—41no—
1241C42—41no—
1242C42—41no—
1243C42#41×C4314yes—
1244C23—21no—
1245C23—21no—
1246C23—21no—
1247C23—21no—
1248C23—21no—
1249C23—21no—
1250C23—21no—
1251C23—21no—
1252C23—21no—
1253C23—21no—
1254C23—21no—
1255C23—21no—
1256C23—21no—
1257C23—21no—
1258C23—21no—
1259C23—21no—
1260C23—21no—
1261C23—21no—
1262C23—21no—
1263C23—21no—
1264C23—21no—
1265C23—21no—
1266C23—21no—
1267C23—21no—
1268C23—21no—
1269C23—21no—
1270C23C2×#41×C4312yes—
1271C23C2×#41×C4312yes—
1272C23C25×C4311yescharacteristic
1273D4—28no—
1274D4—44no—
1275D4—44no—
1276D4—82no—
1277D4—82no—
1278D4—82no—
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—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—44no—
1353C2×C4—44no—
1354C2×C4—44no—
1355C2×C4—44no—
1356C2×C4—44no—
1357C2×C4—44no—
1358C2×C4—44no—
1359C2×C4—82no—
1360C2×C4C2×#41×C4312yes—
1361C2×C4C2×#41×C4312yes—
1362C2×C4C2×#41×C4312yes—
1363C2×C4C2×#41×C4312yes—
1364C2×C4C2×#41×C4312yes—
1365C2×C4C2×#41×C4312yes—
1366C2×C4C2×#41×C4312yes—
1367C2×C4H(5,𝔽2)×C4312yes—
1368C22—22no—
1369C22—22no—
1370C22—22no—
1371C22—22no—
1372C22—22no—
1373C22—22no—
1374C22—41no—
1375C22—41no—
1376C22—41no—
1377C22—41no—
1378C22—41no—
1379C22—41no—
1380C22—41no—
1381C22—41no—
1382C22—41no—
1383C22—41no—
1384C22—41no—
1385C22—41no—
1386C22—41no—
1387C22—41no—
1388C22—41no—
1389C22—41no—
1390C22—41no—
1391C22—41no—
1392C22—41no—
1393C22—41no—
1394C22—41no—
1395C22—41no—
1396C22C22×#41×C4311yescharacteristic
1397C22C22×#41×C4311yescharacteristic
1398C22C22×#41×C4311yescharacteristic
1399C22C2×H(5,𝔽2)×C4311yescharacteristic
1400C22C43×#58511yescharacteristic
1401C22C43×#58511yescharacteristic
1402C22C43×#58511yescharacteristic
1403C4—22no—
1404C4—22no—
1405C4—22no—
1406C4—22no—
1407C4—22no—
1408C4—22no—
1409C4—22no—
1410C4—22no—
1411C4—41no—
1412C4—41no—
1413C4—41no—
1414C4—41no—
1415C4—41no—
1416C4—41no—
1417C4—41no—
1418C4—41no—
1419C4—41no—
1420C4—41no—
1421C4—41no—
1422C4—41no—
1423C4—41no—
1424C4—41no—
1425C4—41no—
1426C4—41no—
1427C4—41no—
1428C4—41no—
1429C4—41no—
1430C2—42no—
1431C2—42no—
1432C2—81no—
1433C2—81no—
1434C2C43×#344411yescharacteristic
1435C2C43×#345511yescharacteristic
1436C2C43×#345911yescharacteristic
1437C2C43×#350611yescharacteristic
1438C2C43×#351211yescharacteristic
1439C2C43×#351311yescharacteristic
1440C2C43×#352111yescharacteristic
subgroupG/H
center, socleC23×C43C25
commutator, Frattini, cosocleC23C25×C43
prime radicalC43×#2456C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C43 ◁ G

Complements

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

NH ≅ G/Ntype
1. C43×#2864C2semidirect
2. C43×#2860C2semidirect
3. C43×#2853C2semidirect
4. C43×#2852C2semidirect
5. C43×#2652C2semidirect
6. C43×#2648C2semidirect
7. C43×#2636C2semidirect
8. C43×#2636C2semidirect
9. C43×#2608C2semidirect
10. C43×#2602C2semidirect
11. C43×#2602C2semidirect
12. C43×#2600C2semidirect
13. C43×#2596C2semidirect
14. C43×#2587C2semidirect
15. C43×#2575C2semidirect
16. C43×#2559C2semidirect
17. C43×#2533C2semidirect
18. C43×#2526C2semidirect
19. C43×#2518C2semidirect
20. C43×#2479C2semidirect
21. C43×#2470C2semidirect
22. C43×#2466C2semidirect
23. C43×#2466C2semidirect
25. C43×#2334C2semidirect
26. C43×#2334C2semidirect
27. C43×#2334C2semidirect
28. C43×#2333C2semidirect
29. C4×#123×C43C2semidirect
30. C43×#2290C2semidirect
31. C42×D4×C43C2semidirect
647. #35049C43direct (N × H)
710. #2864C2×C43semidirect
711. #2860C2×C43semidirect
712. #2853C2×C43semidirect
713. #2852C2×C43semidirect
714. #2652C2×C43semidirect
715. #2648C2×C43semidirect
716. #2636C2×C43semidirect
717. #2636C2×C43semidirect
718. #2608C2×C43semidirect
719. #2602C2×C43semidirect
720. #2602C2×C43semidirect
721. #2600C2×C43semidirect
722. #2596C2×C43semidirect
723. #2587C2×C43semidirect
724. #2575C2×C43semidirect
725. #2559C2×C43semidirect
726. #2533C2×C43semidirect
727. #2526C2×C43semidirect
728. #2518C2×C43semidirect
729. #2479C2×C43semidirect
730. #2470C2×C43semidirect
731. #2466C2×C43semidirect
732. #2466C2×C43semidirect
734. #2334C2×C43semidirect
735. #2334C2×C43semidirect
736. #2334C2×C43semidirect
737. #2333C2×C43semidirect
738. C4×#123C2×C43semidirect
739. #2290C2×C43semidirect
740. C42×D4C2×C43semidirect
907. C43#35049direct (N × H)

Maximal subgroups

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

subgroupindex
C43×#28642
C43×#28602
C43×#28532
C43×#28522
C43×#26522
C43×#26482
C43×#26362
C43×#26082
C43×#26022
C43×#26002
C43×#25962
C43×#25872
C43×#25752
C43×#25592
C43×#25332
C43×#25262
C43×#25182
C43×#24792
C43×#24702
C43×#24662
C43×#24562
C43×#23342
C43×#23332
C4×#123×C432
C43×#22902
C42×D4×C432
#3504943