Finite Group Databasebeta

← C43×#34999 #24955016

Subgroups — C43×#34999 #24955016

Order 11008.

2062 conjugacy classes of subgroups.

The subgroup lattice has 1498 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C43×#2855C211yesmaximal, characteristic, complemented
2C43×#2853C211yesmaximal, characteristic, complemented
3C43×#2852C211yesmaximal, characteristic, complemented
4C43×#2851C211yesmaximal, characteristic, complemented
5C43×#2653C211yesmaximal, characteristic, complemented
6C43×#2652C211yesmaximal, characteristic, complemented
7C43×#2652C211yesmaximal, characteristic, complemented
8C43×#2649C211yesmaximal, characteristic, complemented
9C43×#2523C211yesmaximal, characteristic, complemented
10C43×#2517C211yesmaximal, characteristic, complemented
11C43×#2505C211yesmaximal, characteristic, complemented
12C43×#2493C211yesmaximal, characteristic, complemented
13C43×#2493C211yesmaximal, characteristic, complemented
14C43×#2488C211yesmaximal, characteristic, complemented
15C43×#2483C211yesmaximal, characteristic, complemented
16C43×#2481C211yesmaximal, characteristic, complemented
17C43×#2473C211yesmaximal, characteristic, complemented
18C43×#2466C211yesmaximal, characteristic, complemented
19C43×#2460C211yesmaximal, characteristic, complemented
20C43×#2450C211yesmaximal, characteristic, complemented
21C43×#2437C211yesmaximal, characteristic, complemented
22C43×#2419C211yesmaximal, characteristic, complemented
23C43×#2412C211yesmaximal, characteristic
24C43×#2412C211yesmaximal, characteristic
25C43×#2329C211yesmaximal, characteristic, complemented
26C43×#2322C211yesmaximal, characteristic, complemented
27C43×#2318C211yesmaximal, characteristic, complemented
28C43×#2313C211yesmaximal, characteristic, complemented
29C4×#120×C43C211yesmaximal, characteristic
30C2×C43×#385C211yesmaximal, characteristic, complemented
31C2×C4×C22⋊C4×C43C211yesmaximal, characteristic, complemented
32C24×C4×C43C2211yescharacteristic
33C2×#126×C43C2211yescharacteristic, complemented
34C2×#125×C43C2211yescharacteristic, complemented
35C2×#123×C43C2211yescharacteristic
36C2×#123×C43C2211yescharacteristic
37C2×C22⋊Q8×C43C2211yescharacteristic
38C2×C22⋊Q8×C43C2211yescharacteristic
39C2×#120×C43C2211yescharacteristic
40C2×C4×D4×C43C2211yescharacteristic
41C2×C4×D4×C43C2211yescharacteristic
42C2×C4×D4×C43C2211yescharacteristic
43C22×C4⋊C4×C43C2211yescharacteristic
44C22×C4⋊C4×C43C2211yescharacteristic
45C22×C22⋊C4×C43C2211yescharacteristic
46C22×C22⋊C4×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×#400C2211yescharacteristic, complemented
59C43×#400C2211yescharacteristic, complemented
60C43×#399C2211yescharacteristic
61C43×#398C2211yescharacteristic, complemented
62C43×#398C2211yescharacteristic, complemented
63C43×#398C2211yescharacteristic, complemented
64C43×#397C2211yescharacteristic
65C43×#397C2211yescharacteristic
66C43×#397C2211yescharacteristic
67C43×#397C2211yescharacteristic
68C43×#397C2211yescharacteristic
69C43×#397C2211yescharacteristic
70C43×#397C2211yescharacteristic
71C43×#397C2211yescharacteristic
72C43×#397C2211yescharacteristic, complemented
73C43×#397C2211yescharacteristic, complemented
74C43×#396C2211yescharacteristic
75C43×#396C2211yescharacteristic
76C43×#396C2211yescharacteristic, complemented
77C43×#394C2211yescharacteristic
78C43×#394C2211yescharacteristic
79C43×#394C2211yescharacteristic
80C43×#394C2211yescharacteristic
81C43×#393C2211yescharacteristic
82C43×#393C2211yescharacteristic, complemented
83C43×#391C2211yescharacteristic, complemented
84C43×#391C2211yescharacteristic, complemented
85C43×#391C2211yescharacteristic, complemented
86C43×#389C2211yescharacteristic, complemented
87C43×#389C2211yescharacteristic, complemented
88C43×#389C2211yescharacteristic, complemented
89C43×#389C2211yescharacteristic, complemented
90C43×#389C2211yescharacteristic, complemented
91C43×#388C2211yescharacteristic, complemented
92C43×#388C2211yescharacteristic, complemented
93C43×#388C2211yescharacteristic, complemented
94C43×#388C2211yescharacteristic, complemented
95C43×#388C2211yescharacteristic, complemented
96C43×#388C2211yescharacteristic, complemented
97C43×#388C2211yescharacteristic, complemented
98C43×#387C2211yescharacteristic, complemented
99C43×#387C2211yescharacteristic, complemented
100C43×#387C2211yescharacteristic, complemented
101C43×#387C2211yescharacteristic, complemented
102C43×#387C2211yescharacteristic, complemented
103C43×#387C2211yescharacteristic, complemented
104C43×#387C2211yescharacteristic, complemented
105C43×#387C2211yescharacteristic, complemented
106C43×#387C2211yescharacteristic, complemented
107C43×#387C2211yescharacteristic, complemented
108C43×#387C2211yescharacteristic, complemented
109C43×#387C2211yescharacteristic, complemented
110C43×#387C2211yescharacteristic, complemented
111C43×#387C2211yescharacteristic, complemented
112C43×#387C2211yescharacteristic, complemented
113C43×#387C2211yescharacteristic, complemented
114C43×#387C2211yescharacteristic, complemented
115C43×#387C2211yescharacteristic, complemented
116C43×#387C2211yescharacteristic, complemented
117C43×#387C2211yescharacteristic, complemented
118C43×#387C2211yescharacteristic, complemented
119C43×#387C2211yescharacteristic, complemented
120C43×#387C2211yescharacteristic, complemented
121C43×#386C2211yescharacteristic
122C43×#386C2211yescharacteristic
123C43×#386C2211yescharacteristic
124C43×#386C2211yescharacteristic
125C43×#386C2211yescharacteristic
126C43×#386C2211yescharacteristic
127C43×#386C2211yescharacteristic
128C43×#386C2211yescharacteristic
129C43×#386C2211yescharacteristic
130C43×#385C2211yescharacteristic
131C43×#385C2211yescharacteristic
132C43×#385C2211yescharacteristic
133C43×#385C2211yescharacteristic
134C43×#385C2211yescharacteristic
135C43×#385C2211yescharacteristic
136C43×#385C2211yescharacteristic
137C43×#385C2211yescharacteristic
138C43×#385C2211yescharacteristic
139C43×#385C2211yescharacteristic
140C43×#385C2211yescharacteristic
141C43×#385C2211yescharacteristic
142C43×#385C2211yescharacteristic
143C43×#385C2211yescharacteristic
144C43×#385C2211yescharacteristic
145C43×#385C2211yescharacteristic
146C43×#385C2211yescharacteristic
147C43×#385C2211yescharacteristic
148C43×#385C2211yescharacteristic
149C43×#385C2211yescharacteristic
150C43×#385C2211yescharacteristic
151C43×#385C2211yescharacteristic, complemented
152C43×#385C2211yescharacteristic, complemented
153C43×#383C2211yescharacteristic, complemented
154C43×#383C2211yescharacteristic, complemented
155C43×#382C2211yescharacteristic, complemented
156C43×#382C2211yescharacteristic, complemented
157C43×#381C2211yescharacteristic
158C43×#381C2211yescharacteristic
159C43×#381C2211yescharacteristic
160C43×#381C2211yescharacteristic
161C43×#381C2211yescharacteristic
162C43×#381C2211yescharacteristic
163C43×#381C2211yescharacteristic, complemented
164C43×#380C2211yescharacteristic
165C43×#380C2211yescharacteristic
166C43×#380C2211yescharacteristic
167C43×#380C2211yescharacteristic
168C43×#380C2211yescharacteristic
169C43×#380C2211yescharacteristic
170C43×#380C2211yescharacteristic, complemented
171C43×#379C2211yescharacteristic
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
182C4×C22⋊C4×C43C2211yescharacteristic
183C2×#95×C43C2211yescharacteristic
184C2×#95×C43C2211yescharacteristic
185C2×#95×C43C2211yescharacteristic
186C2×#95×C43C2211yescharacteristic
187C25×C43C2311yescharacteristic
188C22×Q8×C43C2311yescharacteristic
189C22×D4×C43C2311yescharacteristic
190C22×D4×C43C2311yescharacteristic
191C22×D4×C43C2311yescharacteristic
192C23×C4×C43—24no—
193C23×C4×C43—42no—
194C23×C4×C43—42no—
195C23×C4×C43C2311yescharacteristic
196C23×C4×C43C2311yescharacteristic
197C23×C4×C43C2311yescharacteristic
198C23×C4×C43C2311yescharacteristic
199C23×C4×C43C2311yescharacteristic
200C23×C4×C43C2311yescharacteristic
201C23×C4×C43C2311yescharacteristic
202C23×C4×C43C2311yescharacteristic
203C23×C4×C43C2311yescharacteristic
204C23×C4×C43C2311yescharacteristic
205C23×C4×C43C2311yescharacteristic
206C23×C4×C43C2311yescharacteristic
207C23×C4×C43C2311yescharacteristic
208C23×C4×C43C2311yescharacteristic
209C23×C4×C43C2311yescharacteristic
210#126×C43—42no—
211#125×C43—42no—
212#123×C43—24no—
213#123×C43—42no—
214C22⋊Q8×C43—24no—
215C22⋊Q8×C43—42no—
216#120×C43—24no—
217C4×D4×C43—24no—
218C4×D4×C43—42no—
219C4×D4×C43—42no—
220C2×C4⋊C4×C43—24no—
221C2×C4⋊C4×C43—42no—
222C2×C4⋊C4×C43C2311yescharacteristic
223C2×C4⋊C4×C43C2311yescharacteristic
224C2×C4⋊C4×C43C2311yescharacteristic
225C2×C4⋊C4×C43C2311yescharacteristic
226C2×C4⋊C4×C43C2311yescharacteristic
227C2×C4⋊C4×C43C2311yescharacteristic
228C2×C4⋊C4×C43C2311yescharacteristic
229C2×C4⋊C4×C43C2311yescharacteristic
230C2×C4⋊C4×C43C2311yescharacteristic
231C2×C4⋊C4×C43C2311yescharacteristic
232C2×C4⋊C4×C43C2311yescharacteristic
233C2×C4⋊C4×C43C2311yescharacteristic
234C2×C4⋊C4×C43C2311yescharacteristic
235C2×C4⋊C4×C43C2311yescharacteristic
236C2×C4⋊C4×C43C2311yescharacteristic
237C2×C4⋊C4×C43C2311yescharacteristic
238C2×C4⋊C4×C43C2311yescharacteristic
239C2×C4⋊C4×C43C2311yescharacteristic
240C2×C4⋊C4×C43C2311yescharacteristic
241C2×C4⋊C4×C43C2311yescharacteristic
242C2×C4⋊C4×C43C2311yescharacteristic
243C2×C4⋊C4×C43C2311yescharacteristic
244C2×C4⋊C4×C43C2311yescharacteristic
245C2×C4⋊C4×C43C2311yescharacteristic
246C2×C4⋊C4×C43C2311yescharacteristic
247C2×C4⋊C4×C43C2311yescharacteristic
248C2×C4⋊C4×C43C2311yescharacteristic
249C2×C4⋊C4×C43C2311yescharacteristic
250C2×C4⋊C4×C43C2311yescharacteristic
251C2×C4⋊C4×C43C2311yescharacteristic
252C2×C4⋊C4×C43C2311yescharacteristic
253C2×C4⋊C4×C43C2311yescharacteristic
254C2×C22⋊C4×C43—24no—
255C2×C22⋊C4×C43—24no—
256C2×C22⋊C4×C43—24no—
257C2×C22⋊C4×C43—42no—
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×C42×C43—42no—
295C2×C42×C43—42no—
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
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
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—41no—
368C24×C43—41no—
369C24×C43#4114yes—
370C24×C43C2411yescharacteristic
371C24×C43C2411yescharacteristic
372C24×C43C2411yescharacteristic
373C24×C43C2411yescharacteristic
374C2×Q8×C43—22no—
375C2×Q8×C43—41no—
376C2×Q8×C43—41no—
377C2×D4×C43—22no—
378C2×D4×C43—22no—
379C2×D4×C43—22no—
380C2×D4×C43—22no—
381C2×D4×C43—22no—
382C2×D4×C43—22no—
383C2×D4×C43—22no—
384C2×D4×C43—41no—
385C2×D4×C43—41no—
386C22×C4×C43—22no—
387C22×C4×C43—22no—
388C22×C4×C43—22no—
389C22×C4×C43—22no—
390C22×C4×C43—22no—
391C22×C4×C43—22no—
392C22×C4×C43—22no—
393C22×C4×C43—22no—
394C22×C4×C43—22no—
395C22×C4×C43—22no—
396C22×C4×C43—22no—
397C22×C4×C43—22no—
398C22×C4×C43—22no—
399C22×C4×C43—22no—
400C22×C4×C43—22no—
401C22×C4×C43—22no—
402C22×C4×C43—22no—
403C22×C4×C43—22no—
404C22×C4×C43—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—41no—
412C22×C4×C43—41no—
413C22×C4×C43—41no—
414C22×C4×C43—41no—
415C22×C4×C43—41no—
416C22×C4×C43—41no—
417C22×C4×C43—41no—
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—416no—
431C22×C4×C43#4114yes—
432C22×C4×C43C2411yescharacteristic
433C22×C4×C43C2411yescharacteristic
434C22×C4×C43C2411yescharacteristic
435C22×C4×C43C2411yescharacteristic
436C22×C4×C43C2411yescharacteristic
437C22×C4×C43C2411yescharacteristic
438C22×C4×C43C2411yescharacteristic
439C22×C4×C43C2411yescharacteristic
440C22×C4×C43C2411yescharacteristic
441C22×C4×C43C2411yescharacteristic
442C22×C4×C43C2411yescharacteristic
443C22×C4×C43C2411yescharacteristic
444C22×C4×C43C2411yescharacteristic
445C22×C4×C43C2411yescharacteristic
446C22×C4×C43C2411yescharacteristic
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
459C4⋊C4×C43—22no—
460C4⋊C4×C43—22no—
461C4⋊C4×C43—22no—
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—
488C4⋊C4×C43—41no—
489C4⋊C4×C43—41no—
490C4⋊C4×C43—41no—
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—22no—
513C22⋊C4×C43—22no—
514C22⋊C4×C43—22no—
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#4114yes—
527C42×C43—22no—
528C42×C43—22no—
529C42×C43—22no—
530C42×C43—41no—
531C42×C43—41no—
532C42×C43—41no—
533C42×C43—41no—
534C42×C43—41no—
535C42×C43—41no—
536C42×C43—41no—
537C42×C43—41no—
538C23×C43—21no—
539C23×C43—21no—
540C23×C43—21no—
541C23×C43—21no—
542C23×C43—21no—
543C23×C43—21no—
544C23×C43—21no—
545C23×C43—21no—
546C23×C43—28no—
547C23×C43—28no—
548C23×C43—21no—
549C23×C43—21no—
550C23×C43—21no—
551C23×C43—21no—
552C23×C43—21no—
553C23×C43—21no—
554C23×C43—21no—
555C23×C43—21no—
556C23×C43—21no—
557C23×C43—21no—
558C23×C43—21no—
559C23×C43—21no—
560C23×C43—21no—
561C23×C43—44no—
562C23×C43—44no—
563C23×C43—44no—
564C23×C43—44no—
565C23×C43—44no—
566C23×C43C2×#4112yes—
567C23×C43C2×#4112yes—
568C23×C43C2×#4112yes—
569C23×C43C2×#4112yes—
570C23×C43C2×#4112yes—
571C23×C43H(5,𝔽2)12yes—
572C23×C432−1+412yes—
573C23×C43C2511yescharacteristic
574Q8×C43—82no—
575D4×C43—44no—
576D4×C43—44no—
577D4×C43—44no—
578C2×C4×C43—28no—
579C2×C4×C43—21no—
580C2×C4×C43—21no—
581C2×C4×C43—21no—
582C2×C4×C43—21no—
583C2×C4×C43—21no—
584C2×C4×C43—21no—
585C2×C4×C43—21no—
586C2×C4×C43—21no—
587C2×C4×C43—21no—
588C2×C4×C43—21no—
589C2×C4×C43—21no—
590C2×C4×C43—21no—
591C2×C4×C43—21no—
592C2×C4×C43—21no—
593C2×C4×C43—21no—
594C2×C4×C43—21no—
595C2×C4×C43—21no—
596C2×C4×C43—21no—
597C2×C4×C43—21no—
598C2×C4×C43—21no—
599C2×C4×C43—21no—
600C2×C4×C43—21no—
601C2×C4×C43—21no—
602C2×C4×C43—21no—
603C2×C4×C43—21no—
604C2×C4×C43—21no—
605C2×C4×C43—21no—
606C2×C4×C43—21no—
607C2×C4×C43—21no—
608C2×C4×C43—21no—
609C2×C4×C43—21no—
610C2×C4×C43—21no—
611C2×C4×C43—21no—
612C2×C4×C43—21no—
613C2×C4×C43—21no—
614C2×C4×C43—21no—
615C2×C4×C43—21no—
616C2×C4×C43—21no—
617C2×C4×C43—21no—
618C2×C4×C43—21no—
619C2×C4×C43—21no—
620C2×C4×C43—21no—
621C2×C4×C43—21no—
622C2×C4×C43—21no—
623C2×C4×C43—21no—
624C2×C4×C43—21no—
625C2×C4×C43—21no—
626C2×C4×C43—21no—
627C2×C4×C43—21no—
628C2×C4×C43—21no—
629C2×C4×C43—21no—
630C2×C4×C43—21no—
631C2×C4×C43—21no—
632C2×C4×C43—21no—
633C2×C4×C43—21no—
634C2×C4×C43—21no—
635C2×C4×C43—21no—
636C2×C4×C43—21no—
637C2×C4×C43—21no—
638C2×C4×C43—21no—
639C2×C4×C43—21no—
640C2×C4×C43—21no—
641C2×C4×C43—21no—
642C2×C4×C43—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—44no—
656C2×C4×C43—44no—
657C2×C4×C43—44no—
658C2×C4×C43—44no—
659C2×C4×C43—44no—
660C2×C4×C43—44no—
661C2×C4×C43—44no—
662C2×C4×C43—44no—
663C2×C4×C43—44no—
664C2×C4×C43—44no—
665C2×C4×C43—44no—
666C2×C4×C43—82no—
667C2×C4×C43—82no—
668C2×C4×C43—82no—
669C2×C4×C43C2×#4112yes—
670C2×C4×C43C2×#4112yes—
671C2×C4×C43C2×#4112yes—
672C2×C4×C43C2×#4112yes—
673C2×C4×C43H(5,𝔽2)12yes—
674#34999C4311yesmaximal, characteristic, direct product factor, Sylow
675C22×C43—22no—
676C22×C43—22no—
677C22×C43—22no—
678C22×C43—22no—
679C22×C43—22no—
680C22×C43—22no—
681C22×C43—22no—
682C22×C43—22no—
683C22×C43—22no—
684C22×C43—22no—
685C22×C43—22no—
686C22×C43—22no—
687C22×C43—22no—
688C22×C43—22no—
689C22×C43—22no—
690C22×C43—416no—
691C22×C43—41no—
692C22×C43—41no—
693C22×C43—41no—
694C22×C43—41no—
695C22×C43—41no—
696C22×C43—41no—
697C22×C43—41no—
698C22×C43—41no—
699C22×C43—41no—
700C22×C43—41no—
701C22×C43—41no—
702C22×C43#52914yes—
703C22×C43#53914yes—
704C22×C43C22×#4111yescharacteristic
705C22×C43C22×#4111yescharacteristic
706C22×C43C22×#4111yescharacteristic
707C22×C43C2×H(5,𝔽2)11yescharacteristic
708C22×C43C2×H(5,𝔽2)11yescharacteristic
709C22×C43C2×2−1+411yescharacteristic
710C22×C43#58511yescharacteristic
711C4×C43—22no—
712C4×C43—22no—
713C4×C43—22no—
714C4×C43—22no—
715C4×C43—22no—
716C4×C43—41no—
717C4×C43—41no—
718C4×C43—41no—
719C4×C43—41no—
720C4×C43—41no—
721C4×C43—41no—
722C4×C43—41no—
723C4×C43—41no—
724C4×C43—41no—
725C4×C43—41no—
726C4×C43—41no—
727C4×C43—41no—
728C4×C43—41no—
729C4×C43—41no—
730C4×C43—41no—
731C4×C43—41no—
732C4×C43—41no—
733C4×C43—41no—
734C4×C43—41no—
735C4×C43—41no—
736C4×C43—41no—
737C4×C43—41no—
738#2855C2×C4311yescharacteristic, complemented
739#2853C2×C4311yescharacteristic, complemented
740#2852C2×C4311yescharacteristic, complemented
741#2851C2×C4311yescharacteristic, complemented
742#2653C2×C4311yescharacteristic, complemented
743#2652C2×C4311yescharacteristic, complemented
744#2652C2×C4311yescharacteristic, complemented
745#2649C2×C4311yescharacteristic, complemented
746#2523C2×C4311yescharacteristic, complemented
747#2517C2×C4311yescharacteristic, complemented
748#2505C2×C4311yescharacteristic, complemented
749#2493C2×C4311yescharacteristic, complemented
750#2493C2×C4311yescharacteristic, complemented
751#2488C2×C4311yescharacteristic, complemented
752#2483C2×C4311yescharacteristic, complemented
753#2481C2×C4311yescharacteristic, complemented
754#2473C2×C4311yescharacteristic, complemented
755#2466C2×C4311yescharacteristic, complemented
756#2460C2×C4311yescharacteristic, complemented
757#2450C2×C4311yescharacteristic, complemented
758#2437C2×C4311yescharacteristic, complemented
759#2419C2×C4311yescharacteristic, complemented
760#2412C2×C4311yescharacteristic
761#2412C2×C4311yescharacteristic
762#2329C2×C4311yescharacteristic, complemented
763#2322C2×C4311yescharacteristic, complemented
764#2318C2×C4311yescharacteristic, complemented
765#2313C2×C4311yescharacteristic, complemented
766C4×#120C2×C4311yescharacteristic
767C2×#385C2×C4311yescharacteristic, complemented
768C2×C4×C22⋊C4C2×C4311yescharacteristic, complemented
769C2×C43—24no—
770C2×C43—24no—
771C2×C43—42no—
772C2×C43—81no—
773C2×C43C2×#52911yescharacteristic
774C2×C43C2×#53911yescharacteristic
775C2×C43#345911yescharacteristic
776C2×C43#349011yescharacteristic
777C2×C43#349511yescharacteristic
778C2×C43#351311yescharacteristic
779C2×C43#352011yescharacteristic
780C24×C4C22×C4311yescharacteristic
781C2×#126C22×C4311yescharacteristic, complemented
782C2×#125C22×C4311yescharacteristic, complemented
783C2×#123C22×C4311yescharacteristic
784C2×#123C22×C4311yescharacteristic
785C2×C22⋊Q8C22×C4311yescharacteristic
786C2×C22⋊Q8C22×C4311yescharacteristic
787C2×#120C22×C4311yescharacteristic
788C2×C4×D4C22×C4311yescharacteristic
789C2×C4×D4C22×C4311yescharacteristic
790C2×C4×D4C22×C4311yescharacteristic
791C22×C4⋊C4C22×C4311yescharacteristic
792C22×C4⋊C4C22×C4311yescharacteristic
793C22×C22⋊C4C22×C4311yescharacteristic
794C22×C22⋊C4C22×C4311yescharacteristic
795C22×C22⋊C4C22×C4311yescharacteristic
796C22×C22⋊C4C22×C4311yescharacteristic
797C22×C42C22×C4311yescharacteristic
798C22×C42C22×C4311yescharacteristic
799#401C22×C4311yescharacteristic, complemented
800#400C22×C4311yescharacteristic, complemented
801#400C22×C4311yescharacteristic, complemented
802#400C22×C4311yescharacteristic, complemented
803#400C22×C4311yescharacteristic, complemented
804#400C22×C4311yescharacteristic, complemented
805#400C22×C4311yescharacteristic, complemented
806#400C22×C4311yescharacteristic, complemented
807#400C22×C4311yescharacteristic, complemented
808#399C22×C4311yescharacteristic
809#398C22×C4311yescharacteristic, complemented
810#398C22×C4311yescharacteristic, complemented
811#398C22×C4311yescharacteristic, complemented
812#397C22×C4311yescharacteristic
813#397C22×C4311yescharacteristic
814#397C22×C4311yescharacteristic
815#397C22×C4311yescharacteristic
816#397C22×C4311yescharacteristic
817#397C22×C4311yescharacteristic
818#397C22×C4311yescharacteristic
819#397C22×C4311yescharacteristic
820#397C22×C4311yescharacteristic, complemented
821#397C22×C4311yescharacteristic, complemented
822#396C22×C4311yescharacteristic
823#396C22×C4311yescharacteristic
824#396C22×C4311yescharacteristic, complemented
825#394C22×C4311yescharacteristic
826#394C22×C4311yescharacteristic
827#394C22×C4311yescharacteristic
828#394C22×C4311yescharacteristic
829#393C22×C4311yescharacteristic
830#393C22×C4311yescharacteristic, complemented
831#391C22×C4311yescharacteristic, complemented
832#391C22×C4311yescharacteristic, complemented
833#391C22×C4311yescharacteristic, complemented
834#389C22×C4311yescharacteristic, complemented
835#389C22×C4311yescharacteristic, complemented
836#389C22×C4311yescharacteristic, complemented
837#389C22×C4311yescharacteristic, complemented
838#389C22×C4311yescharacteristic, complemented
839#388C22×C4311yescharacteristic, complemented
840#388C22×C4311yescharacteristic, complemented
841#388C22×C4311yescharacteristic, complemented
842#388C22×C4311yescharacteristic, complemented
843#388C22×C4311yescharacteristic, complemented
844#388C22×C4311yescharacteristic, complemented
845#388C22×C4311yescharacteristic, complemented
846#387C22×C4311yescharacteristic, complemented
847#387C22×C4311yescharacteristic, complemented
848#387C22×C4311yescharacteristic, complemented
849#387C22×C4311yescharacteristic, complemented
850#387C22×C4311yescharacteristic, complemented
851#387C22×C4311yescharacteristic, complemented
852#387C22×C4311yescharacteristic, complemented
853#387C22×C4311yescharacteristic, complemented
854#387C22×C4311yescharacteristic, complemented
855#387C22×C4311yescharacteristic, complemented
856#387C22×C4311yescharacteristic, complemented
857#387C22×C4311yescharacteristic, complemented
858#387C22×C4311yescharacteristic, complemented
859#387C22×C4311yescharacteristic, complemented
860#387C22×C4311yescharacteristic, complemented
861#387C22×C4311yescharacteristic, complemented
862#387C22×C4311yescharacteristic, complemented
863#387C22×C4311yescharacteristic, complemented
864#387C22×C4311yescharacteristic, complemented
865#387C22×C4311yescharacteristic, complemented
866#387C22×C4311yescharacteristic, complemented
867#387C22×C4311yescharacteristic, complemented
868#387C22×C4311yescharacteristic, complemented
869#386C22×C4311yescharacteristic
870#386C22×C4311yescharacteristic
871#386C22×C4311yescharacteristic
872#386C22×C4311yescharacteristic
873#386C22×C4311yescharacteristic
874#386C22×C4311yescharacteristic
875#386C22×C4311yescharacteristic
876#386C22×C4311yescharacteristic
877#386C22×C4311yescharacteristic
878#385C22×C4311yescharacteristic
879#385C22×C4311yescharacteristic
880#385C22×C4311yescharacteristic
881#385C22×C4311yescharacteristic
882#385C22×C4311yescharacteristic
883#385C22×C4311yescharacteristic
884#385C22×C4311yescharacteristic
885#385C22×C4311yescharacteristic
886#385C22×C4311yescharacteristic
887#385C22×C4311yescharacteristic
888#385C22×C4311yescharacteristic
889#385C22×C4311yescharacteristic
890#385C22×C4311yescharacteristic
891#385C22×C4311yescharacteristic
892#385C22×C4311yescharacteristic
893#385C22×C4311yescharacteristic
894#385C22×C4311yescharacteristic
895#385C22×C4311yescharacteristic
896#385C22×C4311yescharacteristic
897#385C22×C4311yescharacteristic
898#385C22×C4311yescharacteristic
899#385C22×C4311yescharacteristic, complemented
900#385C22×C4311yescharacteristic, complemented
901#383C22×C4311yescharacteristic, complemented
902#383C22×C4311yescharacteristic, complemented
903#382C22×C4311yescharacteristic, complemented
904#382C22×C4311yescharacteristic, complemented
905#381C22×C4311yescharacteristic
906#381C22×C4311yescharacteristic
907#381C22×C4311yescharacteristic
908#381C22×C4311yescharacteristic
909#381C22×C4311yescharacteristic
910#381C22×C4311yescharacteristic
911#381C22×C4311yescharacteristic, complemented
912#380C22×C4311yescharacteristic
913#380C22×C4311yescharacteristic
914#380C22×C4311yescharacteristic
915#380C22×C4311yescharacteristic
916#380C22×C4311yescharacteristic
917#380C22×C4311yescharacteristic
918#380C22×C4311yescharacteristic, complemented
919#379C22×C4311yescharacteristic
920C4×C22⋊C4C22×C4311yescharacteristic
921C4×C22⋊C4C22×C4311yescharacteristic
922C4×C22⋊C4C22×C4311yescharacteristic
923C4×C22⋊C4C22×C4311yescharacteristic
924C4×C22⋊C4C22×C4311yescharacteristic
925C4×C22⋊C4C22×C4311yescharacteristic
926C4×C22⋊C4C22×C4311yescharacteristic
927C4×C22⋊C4C22×C4311yescharacteristic
928C4×C22⋊C4C22×C4311yescharacteristic
929C4×C22⋊C4C22×C4311yescharacteristic
930C4×C22⋊C4C22×C4311yescharacteristic
931C2×#95C22×C4311yescharacteristic
932C2×#95C22×C4311yescharacteristic
933C2×#95C22×C4311yescharacteristic
934C2×#95C22×C4311yescharacteristic
935C43#3499911yescharacteristic, direct product factor, Sylow
936C25C23×C4311yescharacteristic
937C22×Q8C23×C4311yescharacteristic
938C22×D4C23×C4311yescharacteristic
939C22×D4C23×C4311yescharacteristic
940C22×D4C23×C4311yescharacteristic
941C23×C4—24no—
942C23×C4—42no—
943C23×C4—42no—
944C23×C4C23×C4311yescharacteristic
945C23×C4C23×C4311yescharacteristic
946C23×C4C23×C4311yescharacteristic
947C23×C4C23×C4311yescharacteristic
948C23×C4C23×C4311yescharacteristic
949C23×C4C23×C4311yescharacteristic
950C23×C4C23×C4311yescharacteristic
951C23×C4C23×C4311yescharacteristic
952C23×C4C23×C4311yescharacteristic
953C23×C4C23×C4311yescharacteristic
954C23×C4C23×C4311yescharacteristic
955C23×C4C23×C4311yescharacteristic
956C23×C4C23×C4311yescharacteristic
957C23×C4C23×C4311yescharacteristic
958C23×C4C23×C4311yescharacteristic
959#126—42no—
960#125—42no—
961#123—24no—
962#123—42no—
963C22⋊Q8—24no—
964C22⋊Q8—42no—
965#120—24no—
966C4×D4—24no—
967C4×D4—42no—
968C4×D4—42no—
969C2×C4⋊C4—24no—
970C2×C4⋊C4—42no—
971C2×C4⋊C4C23×C4311yescharacteristic
972C2×C4⋊C4C23×C4311yescharacteristic
973C2×C4⋊C4C23×C4311yescharacteristic
974C2×C4⋊C4C23×C4311yescharacteristic
975C2×C4⋊C4C23×C4311yescharacteristic
976C2×C4⋊C4C23×C4311yescharacteristic
977C2×C4⋊C4C23×C4311yescharacteristic
978C2×C4⋊C4C23×C4311yescharacteristic
979C2×C4⋊C4C23×C4311yescharacteristic
980C2×C4⋊C4C23×C4311yescharacteristic
981C2×C4⋊C4C23×C4311yescharacteristic
982C2×C4⋊C4C23×C4311yescharacteristic
983C2×C4⋊C4C23×C4311yescharacteristic
984C2×C4⋊C4C23×C4311yescharacteristic
985C2×C4⋊C4C23×C4311yescharacteristic
986C2×C4⋊C4C23×C4311yescharacteristic
987C2×C4⋊C4C23×C4311yescharacteristic
988C2×C4⋊C4C23×C4311yescharacteristic
989C2×C4⋊C4C23×C4311yescharacteristic
990C2×C4⋊C4C23×C4311yescharacteristic
991C2×C4⋊C4C23×C4311yescharacteristic
992C2×C4⋊C4C23×C4311yescharacteristic
993C2×C4⋊C4C23×C4311yescharacteristic
994C2×C4⋊C4C23×C4311yescharacteristic
995C2×C4⋊C4C23×C4311yescharacteristic
996C2×C4⋊C4C23×C4311yescharacteristic
997C2×C4⋊C4C23×C4311yescharacteristic
998C2×C4⋊C4C23×C4311yescharacteristic
999C2×C4⋊C4C23×C4311yescharacteristic
1000C2×C4⋊C4C23×C4311yescharacteristic
1001C2×C4⋊C4C23×C4311yescharacteristic
1002C2×C4⋊C4C23×C4311yescharacteristic
1003C2×C22⋊C4—24no—
1004C2×C22⋊C4—24no—
1005C2×C22⋊C4—24no—
1006C2×C22⋊C4—42no—
1007C2×C22⋊C4C23×C4311yescharacteristic
1008C2×C22⋊C4C23×C4311yescharacteristic
1009C2×C22⋊C4C23×C4311yescharacteristic
1010C2×C22⋊C4C23×C4311yescharacteristic
1011C2×C22⋊C4C23×C4311yescharacteristic
1012C2×C22⋊C4C23×C4311yescharacteristic
1013C2×C22⋊C4C23×C4311yescharacteristic
1014C2×C22⋊C4C23×C4311yescharacteristic
1015C2×C22⋊C4C23×C4311yescharacteristic
1016C2×C22⋊C4C23×C4311yescharacteristic
1017C2×C22⋊C4C23×C4311yescharacteristic
1018C2×C22⋊C4C23×C4311yescharacteristic
1019C2×C22⋊C4C23×C4311yescharacteristic
1020C2×C22⋊C4C23×C4311yescharacteristic
1021C2×C22⋊C4C23×C4311yescharacteristic
1022C2×C22⋊C4C23×C4311yescharacteristic
1023C2×C22⋊C4C23×C4311yescharacteristic
1024C2×C22⋊C4C23×C4311yescharacteristic
1025C2×C22⋊C4C23×C4311yescharacteristic
1026C2×C22⋊C4C23×C4311yescharacteristic
1027C2×C22⋊C4C23×C4311yescharacteristic
1028C2×C22⋊C4C23×C4311yescharacteristic
1029C2×C22⋊C4C23×C4311yescharacteristic
1030C2×C22⋊C4C23×C4311yescharacteristic
1031C2×C22⋊C4C23×C4311yescharacteristic
1032C2×C22⋊C4C23×C4311yescharacteristic
1033C2×C22⋊C4C23×C4311yescharacteristic
1034C2×C22⋊C4C23×C4311yescharacteristic
1035C2×C22⋊C4C23×C4311yescharacteristic
1036C2×C22⋊C4C23×C4311yescharacteristic
1037C2×C22⋊C4C23×C4311yescharacteristic
1038C2×C22⋊C4C23×C4311yescharacteristic
1039C2×C22⋊C4C23×C4311yescharacteristic
1040C2×C22⋊C4C23×C4311yescharacteristic
1041C2×C22⋊C4C23×C4311yescharacteristic
1042C2×C22⋊C4C23×C4311yescharacteristic
1043C2×C42—42no—
1044C2×C42—42no—
1045C2×C42C23×C4311yescharacteristic
1046C2×C42C23×C4311yescharacteristic
1047C2×C42C23×C4311yescharacteristic
1048C2×C42C23×C4311yescharacteristic
1049C2×C42C23×C4311yescharacteristic
1050C2×C42C23×C4311yescharacteristic
1051C2×C42C23×C4311yescharacteristic
1052C2×C42C23×C4311yescharacteristic
1053C2×C42C23×C4311yescharacteristic
1054C2×C42C23×C4311yescharacteristic
1055C2×C42C23×C4311yescharacteristic
1056#95C23×C4311yescharacteristic
1057#95C23×C4311yescharacteristic
1058#95C23×C4311yescharacteristic
1059#95C23×C4311yescharacteristic
1060#95C23×C4311yescharacteristic
1061#95C23×C4311yescharacteristic
1062#95C23×C4311yescharacteristic
1063#95C23×C4311yescharacteristic
1064#95C23×C4311yescharacteristic
1065#95C23×C4311yescharacteristic
1066#95C23×C4311yescharacteristic
1067#95C23×C4311yescharacteristic
1068#95C23×C4311yescharacteristic
1069#95C23×C4311yescharacteristic
1070#95C23×C4311yescharacteristic
1071#95C23×C4311yescharacteristic
1072#95C23×C4311yescharacteristic
1073#95C23×C4311yescharacteristic
1074#95C23×C4311yescharacteristic
1075#95C23×C4311yescharacteristic
1076#95C23×C4311yescharacteristic
1077#95C23×C4311yescharacteristic
1078#95C23×C4311yescharacteristic
1079#95C23×C4311yescharacteristic
1080#95C23×C4311yescharacteristic
1081#95C23×C4311yescharacteristic
1082#95C23×C4311yescharacteristic
1083#95C23×C4311yescharacteristic
1084#95C23×C4311yescharacteristic
1085#95C23×C4311yescharacteristic
1086#95C23×C4311yescharacteristic
1087#95C23×C4311yescharacteristic
1088#95C23×C4311yescharacteristic
1089#95C23×C4311yescharacteristic
1090#95C23×C4311yescharacteristic
1091#95C23×C4311yescharacteristic
1092#95C23×C4311yescharacteristic
1093#95C23×C4311yescharacteristic
1094#95C23×C4311yescharacteristic
1095#95C23×C4311yescharacteristic
1096#95C23×C4311yescharacteristic
1097#95C23×C4311yescharacteristic
1098#95C23×C4311yescharacteristic
1099#95C23×C4311yescharacteristic
1100#95C23×C4311yescharacteristic
1101#95C23×C4311yescharacteristic
1102#95C23×C4311yescharacteristic
1103#95C23×C4311yescharacteristic
1104#95C23×C4311yescharacteristic
1105#95C23×C4311yescharacteristic
1106#95C23×C4311yescharacteristic
1107#95C23×C4311yescharacteristic
1108#95C23×C4311yescharacteristic
1109#95C23×C4311yescharacteristic
1110#95C23×C4311yescharacteristic
1111#95C23×C4311yescharacteristic
1112C24—22no—
1113C24—22no—
1114C24—22no—
1115C24—22no—
1116C24—41no—
1117C24—41no—
1118C24#41×C4314yes—
1119C24C24×C4311yescharacteristic
1120C24C24×C4311yescharacteristic
1121C24C24×C4311yescharacteristic
1122C24C24×C4311yescharacteristic
1123C2×Q8—22no—
1124C2×Q8—41no—
1125C2×Q8—41no—
1126C2×D4—22no—
1127C2×D4—22no—
1128C2×D4—22no—
1129C2×D4—22no—
1130C2×D4—22no—
1131C2×D4—22no—
1132C2×D4—22no—
1133C2×D4—41no—
1134C2×D4—41no—
1135C22×C4—22no—
1136C22×C4—22no—
1137C22×C4—22no—
1138C22×C4—22no—
1139C22×C4—22no—
1140C22×C4—22no—
1141C22×C4—22no—
1142C22×C4—22no—
1143C22×C4—22no—
1144C22×C4—22no—
1145C22×C4—22no—
1146C22×C4—22no—
1147C22×C4—22no—
1148C22×C4—22no—
1149C22×C4—22no—
1150C22×C4—22no—
1151C22×C4—22no—
1152C22×C4—22no—
1153C22×C4—22no—
1154C22×C4—22no—
1155C22×C4—22no—
1156C22×C4—22no—
1157C22×C4—22no—
1158C22×C4—22no—
1159C22×C4—22no—
1160C22×C4—41no—
1161C22×C4—41no—
1162C22×C4—41no—
1163C22×C4—41no—
1164C22×C4—41no—
1165C22×C4—41no—
1166C22×C4—41no—
1167C22×C4—41no—
1168C22×C4—41no—
1169C22×C4—41no—
1170C22×C4—41no—
1171C22×C4—41no—
1172C22×C4—41no—
1173C22×C4—41no—
1174C22×C4—41no—
1175C22×C4—41no—
1176C22×C4—41no—
1177C22×C4—41no—
1178C22×C4—41no—
1179C22×C4—416no—
1180C22×C4#41×C4314yes—
1181C22×C4C24×C4311yescharacteristic
1182C22×C4C24×C4311yescharacteristic
1183C22×C4C24×C4311yescharacteristic
1184C22×C4C24×C4311yescharacteristic
1185C22×C4C24×C4311yescharacteristic
1186C22×C4C24×C4311yescharacteristic
1187C22×C4C24×C4311yescharacteristic
1188C22×C4C24×C4311yescharacteristic
1189C22×C4C24×C4311yescharacteristic
1190C22×C4C24×C4311yescharacteristic
1191C22×C4C24×C4311yescharacteristic
1192C22×C4C24×C4311yescharacteristic
1193C22×C4C24×C4311yescharacteristic
1194C22×C4C24×C4311yescharacteristic
1195C22×C4C24×C4311yescharacteristic
1196C22×C4C24×C4311yescharacteristic
1197C22×C4C24×C4311yescharacteristic
1198C22×C4C24×C4311yescharacteristic
1199C22×C4C24×C4311yescharacteristic
1200C22×C4C24×C4311yescharacteristic
1201C22×C4C24×C4311yescharacteristic
1202C22×C4C24×C4311yescharacteristic
1203C22×C4C24×C4311yescharacteristic
1204C22×C4C24×C4311yescharacteristic
1205C22×C4C24×C4311yescharacteristic
1206C22×C4C24×C4311yescharacteristic
1207C22×C4C24×C4311yescharacteristic
1208C4⋊C4—22no—
1209C4⋊C4—22no—
1210C4⋊C4—22no—
1211C4⋊C4—22no—
1212C4⋊C4—22no—
1213C4⋊C4—22no—
1214C4⋊C4—22no—
1215C4⋊C4—22no—
1216C4⋊C4—22no—
1217C4⋊C4—22no—
1218C4⋊C4—22no—
1219C4⋊C4—22no—
1220C4⋊C4—22no—
1221C4⋊C4—41no—
1222C4⋊C4—41no—
1223C4⋊C4—41no—
1224C4⋊C4—41no—
1225C4⋊C4—41no—
1226C4⋊C4—41no—
1227C4⋊C4—41no—
1228C4⋊C4—41no—
1229C4⋊C4—41no—
1230C4⋊C4—41no—
1231C4⋊C4—41no—
1232C4⋊C4—41no—
1233C4⋊C4—41no—
1234C4⋊C4—41no—
1235C4⋊C4—41no—
1236C4⋊C4—41no—
1237C4⋊C4—41no—
1238C4⋊C4—41no—
1239C4⋊C4—41no—
1240C22⋊C4—22no—
1241C22⋊C4—22no—
1242C22⋊C4—22no—
1243C22⋊C4—22no—
1244C22⋊C4—22no—
1245C22⋊C4—22no—
1246C22⋊C4—22no—
1247C22⋊C4—22no—
1248C22⋊C4—22no—
1249C22⋊C4—22no—
1250C22⋊C4—22no—
1251C22⋊C4—22no—
1252C22⋊C4—22no—
1253C22⋊C4—22no—
1254C22⋊C4—22no—
1255C22⋊C4—22no—
1256C22⋊C4—22no—
1257C22⋊C4—22no—
1258C22⋊C4—22no—
1259C22⋊C4—22no—
1260C22⋊C4—22no—
1261C22⋊C4—22no—
1262C22⋊C4—22no—
1263C22⋊C4—22no—
1264C22⋊C4—41no—
1265C22⋊C4—41no—
1266C22⋊C4—41no—
1267C22⋊C4—41no—
1268C22⋊C4—41no—
1269C22⋊C4—41no—
1270C22⋊C4—41no—
1271C22⋊C4—41no—
1272C22⋊C4—41no—
1273C22⋊C4—41no—
1274C22⋊C4—41no—
1275C22⋊C4#41×C4314yes—
1276C42—22no—
1277C42—22no—
1278C42—22no—
1279C42—41no—
1280C42—41no—
1281C42—41no—
1282C42—41no—
1283C42—41no—
1284C42—41no—
1285C42—41no—
1286C42—41no—
1287C23—21no—
1288C23—21no—
1289C23—21no—
1290C23—21no—
1291C23—21no—
1292C23—21no—
1293C23—21no—
1294C23—21no—
1295C23—28no—
1296C23—28no—
1297C23—21no—
1298C23—21no—
1299C23—21no—
1300C23—21no—
1301C23—21no—
1302C23—21no—
1303C23—21no—
1304C23—21no—
1305C23—21no—
1306C23—21no—
1307C23—21no—
1308C23—21no—
1309C23—21no—
1310C23—44no—
1311C23—44no—
1312C23—44no—
1313C23—44no—
1314C23—44no—
1315C23C2×#41×C4312yes—
1316C23C2×#41×C4312yes—
1317C23C2×#41×C4312yes—
1318C23C2×#41×C4312yes—
1319C23C2×#41×C4312yes—
1320C23H(5,𝔽2)×C4312yes—
1321C232−1+4×C4312yes—
1322C23C25×C4311yescharacteristic
1323Q8—82no—
1324D4—44no—
1325D4—44no—
1326D4—44no—
1327C2×C4—28no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—44no—
1405C2×C4—44no—
1406C2×C4—44no—
1407C2×C4—44no—
1408C2×C4—44no—
1409C2×C4—44no—
1410C2×C4—44no—
1411C2×C4—44no—
1412C2×C4—44no—
1413C2×C4—44no—
1414C2×C4—44no—
1415C2×C4—82no—
1416C2×C4—82no—
1417C2×C4—82no—
1418C2×C4C2×#41×C4312yes—
1419C2×C4C2×#41×C4312yes—
1420C2×C4C2×#41×C4312yes—
1421C2×C4C2×#41×C4312yes—
1422C2×C4H(5,𝔽2)×C4312yes—
1423C22—22no—
1424C22—22no—
1425C22—22no—
1426C22—22no—
1427C22—22no—
1428C22—22no—
1429C22—22no—
1430C22—22no—
1431C22—22no—
1432C22—22no—
1433C22—22no—
1434C22—22no—
1435C22—22no—
1436C22—22no—
1437C22—22no—
1438C22—416no—
1439C22—41no—
1440C22—41no—
1441C22—41no—
1442C22—41no—
1443C22—41no—
1444C22—41no—
1445C22—41no—
1446C22—41no—
1447C22—41no—
1448C22—41no—
1449C22—41no—
1450C22C43×#52914yes—
1451C22C43×#53914yes—
1452C22C22×#41×C4311yescharacteristic
1453C22C22×#41×C4311yescharacteristic
1454C22C22×#41×C4311yescharacteristic
1455C22C2×H(5,𝔽2)×C4311yescharacteristic
1456C22C2×H(5,𝔽2)×C4311yescharacteristic
1457C22C2×2−1+4×C4311yescharacteristic
1458C22C43×#58511yescharacteristic
1459C4—22no—
1460C4—22no—
1461C4—22no—
1462C4—22no—
1463C4—22no—
1464C4—41no—
1465C4—41no—
1466C4—41no—
1467C4—41no—
1468C4—41no—
1469C4—41no—
1470C4—41no—
1471C4—41no—
1472C4—41no—
1473C4—41no—
1474C4—41no—
1475C4—41no—
1476C4—41no—
1477C4—41no—
1478C4—41no—
1479C4—41no—
1480C4—41no—
1481C4—41no—
1482C4—41no—
1483C4—41no—
1484C4—41no—
1485C4—41no—
1486C2—24no—
1487C2—24no—
1488C2—42no—
1489C2—81no—
1490C2C2×C43×#52911yescharacteristic
1491C2C2×C43×#53911yescharacteristic
1492C2C43×#345911yescharacteristic
1493C2C43×#349011yescharacteristic
1494C2C43×#349511yescharacteristic
1495C2C43×#351311yescharacteristic
1496C2C43×#352011yescharacteristic
subgroupG/H
center, socleC23×C43C25
commutator, Frattini, cosocleC23C25×C43
prime radicalC2×#120×C43C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C43 ◁ G

Complements

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

NH ≅ G/Ntype
1. C43×#2855C2semidirect
2. C43×#2853C2semidirect
3. C43×#2852C2semidirect
4. C43×#2851C2semidirect
5. C43×#2653C2semidirect
6. C43×#2652C2semidirect
7. C43×#2652C2semidirect
8. C43×#2649C2semidirect
9. C43×#2523C2semidirect
10. C43×#2517C2semidirect
11. C43×#2505C2semidirect
12. C43×#2493C2semidirect
13. C43×#2493C2semidirect
14. C43×#2488C2semidirect
15. C43×#2483C2semidirect
16. C43×#2481C2semidirect
17. C43×#2473C2semidirect
18. C43×#2466C2semidirect
19. C43×#2460C2semidirect
20. C43×#2450C2semidirect
21. C43×#2437C2semidirect
22. C43×#2419C2semidirect
25. C43×#2329C2semidirect
26. C43×#2322C2semidirect
27. C43×#2318C2semidirect
28. C43×#2313C2semidirect
30. C2×C43×#385C2semidirect
31. C2×C4×C22⋊C4×C43C2semidirect
33. C2×#126×C43C22semidirect
34. C2×#125×C43C22semidirect
51. C43×#401C22semidirect
52. C43×#400C22semidirect
53. C43×#400C22semidirect
54. C43×#400C22semidirect
55. C43×#400C22semidirect
56. C43×#400C22semidirect
57. C43×#400C22semidirect
58. C43×#400C22semidirect
59. C43×#400C22semidirect
61. C43×#398C22semidirect
62. C43×#398C22semidirect
63. C43×#398C22semidirect
72. C43×#397C22semidirect
73. C43×#397C22semidirect
76. C43×#396C22semidirect
82. C43×#393C22semidirect
83. C43×#391C22semidirect
84. C43×#391C22semidirect
85. C43×#391C22semidirect
86. C43×#389C22semidirect
87. C43×#389C22semidirect
88. C43×#389C22semidirect
89. C43×#389C22semidirect
90. C43×#389C22semidirect
91. C43×#388C22semidirect
92. C43×#388C22semidirect
93. C43×#388C22semidirect
94. C43×#388C22semidirect
95. C43×#388C22semidirect
96. C43×#388C22semidirect
97. C43×#388C22semidirect
98. C43×#387C22semidirect
99. C43×#387C22semidirect
100. C43×#387C22semidirect
101. C43×#387C22semidirect
102. C43×#387C22semidirect
103. C43×#387C22semidirect
104. C43×#387C22semidirect
105. C43×#387C22semidirect
106. C43×#387C22semidirect
107. C43×#387C22semidirect
108. C43×#387C22semidirect
109. C43×#387C22semidirect
110. C43×#387C22semidirect
111. C43×#387C22semidirect
112. C43×#387C22semidirect
113. C43×#387C22semidirect
114. C43×#387C22semidirect
115. C43×#387C22semidirect
116. C43×#387C22semidirect
117. C43×#387C22semidirect
118. C43×#387C22semidirect
119. C43×#387C22semidirect
120. C43×#387C22semidirect
151. C43×#385C22semidirect
152. C43×#385C22semidirect
153. C43×#383C22semidirect
154. C43×#383C22semidirect
155. C43×#382C22semidirect
156. C43×#382C22semidirect
163. C43×#381C22semidirect
170. C43×#380C22semidirect
674. #34999C43direct (N × H)
738. #2855C2×C43semidirect
739. #2853C2×C43semidirect
740. #2852C2×C43semidirect
741. #2851C2×C43semidirect
742. #2653C2×C43semidirect
743. #2652C2×C43semidirect
744. #2652C2×C43semidirect
745. #2649C2×C43semidirect
746. #2523C2×C43semidirect
747. #2517C2×C43semidirect
748. #2505C2×C43semidirect
749. #2493C2×C43semidirect
750. #2493C2×C43semidirect
751. #2488C2×C43semidirect
752. #2483C2×C43semidirect
753. #2481C2×C43semidirect
754. #2473C2×C43semidirect
755. #2466C2×C43semidirect
756. #2460C2×C43semidirect
757. #2450C2×C43semidirect
758. #2437C2×C43semidirect
759. #2419C2×C43semidirect
762. #2329C2×C43semidirect
763. #2322C2×C43semidirect
764. #2318C2×C43semidirect
765. #2313C2×C43semidirect
767. C2×#385C2×C43semidirect
768. C2×C4×C22⋊C4C2×C43semidirect
781. C2×#126C22×C43semidirect
782. C2×#125C22×C43semidirect
799. #401C22×C43semidirect
800. #400C22×C43semidirect
801. #400C22×C43semidirect
802. #400C22×C43semidirect
803. #400C22×C43semidirect
804. #400C22×C43semidirect
805. #400C22×C43semidirect
806. #400C22×C43semidirect
807. #400C22×C43semidirect
809. #398C22×C43semidirect
810. #398C22×C43semidirect
811. #398C22×C43semidirect
820. #397C22×C43semidirect
821. #397C22×C43semidirect
824. #396C22×C43semidirect
830. #393C22×C43semidirect
831. #391C22×C43semidirect
832. #391C22×C43semidirect
833. #391C22×C43semidirect
834. #389C22×C43semidirect
835. #389C22×C43semidirect
836. #389C22×C43semidirect
837. #389C22×C43semidirect
838. #389C22×C43semidirect
839. #388C22×C43semidirect
840. #388C22×C43semidirect
841. #388C22×C43semidirect
842. #388C22×C43semidirect
843. #388C22×C43semidirect
844. #388C22×C43semidirect
845. #388C22×C43semidirect
846. #387C22×C43semidirect
847. #387C22×C43semidirect
848. #387C22×C43semidirect
849. #387C22×C43semidirect
850. #387C22×C43semidirect
851. #387C22×C43semidirect
852. #387C22×C43semidirect
853. #387C22×C43semidirect
854. #387C22×C43semidirect
855. #387C22×C43semidirect
856. #387C22×C43semidirect
857. #387C22×C43semidirect
858. #387C22×C43semidirect
859. #387C22×C43semidirect
860. #387C22×C43semidirect
861. #387C22×C43semidirect
862. #387C22×C43semidirect
863. #387C22×C43semidirect
864. #387C22×C43semidirect
865. #387C22×C43semidirect
866. #387C22×C43semidirect
867. #387C22×C43semidirect
868. #387C22×C43semidirect
899. #385C22×C43semidirect
900. #385C22×C43semidirect
901. #383C22×C43semidirect
902. #383C22×C43semidirect
903. #382C22×C43semidirect
904. #382C22×C43semidirect
911. #381C22×C43semidirect
918. #380C22×C43semidirect
935. C43#34999direct (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×#28532
C43×#28522
C43×#28512
C43×#26532
C43×#26522
C43×#26492
C43×#25232
C43×#25172
C43×#25052
C43×#24932
C43×#24882
C43×#24832
C43×#24812
C43×#24732
C43×#24662
C43×#24602
C43×#24502
C43×#24372
C43×#24192
C43×#24122
C43×#23292
C43×#23222
C43×#23182
C43×#23132
C4×#120×C432
C2×C43×#3852
C2×C4×C22⋊C4×C432
#3499943