Finite Group Databasebeta

← C43×#34417 #24954434

Subgroups — C43×#34417 #24954434

Order 11008.

2202 conjugacy classes of subgroups.

The subgroup lattice has 1464 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C43×#539C211yesmaximal, characteristic
2C43×#2383C211yesmaximal, characteristic, complemented
3C43×#2382C211yesmaximal, characteristic, complemented
4C43×#2378C211yesmaximal, characteristic, complemented
5C43×#2376C211yesmaximal, characteristic, complemented
6C43×#2373C211yesmaximal, characteristic, complemented
7C43×#2370C211yesmaximal, characteristic, complemented
8C43×#2368C211yesmaximal, characteristic, complemented
9C43×#2364C211yesmaximal, characteristic
10C43×#2361C211yesmaximal, characteristic
11C43×#2360C211yesmaximal, characteristic, complemented
12C43×#2360C211yesmaximal, characteristic, complemented
13C43×#2359C211yesmaximal, characteristic, complemented
14C43×#2353C211yesmaximal, characteristic, complemented
15C43×#2352C211yesmaximal, characteristic, complemented
16C43×#2349C211yesmaximal, characteristic, complemented
17D4×C4⋊C4×C43C211yesmaximal, characteristic, complemented
18C43×#2336C211yesmaximal, characteristic, complemented
19C43×#2335C211yesmaximal, characteristic, complemented
20C43×#2334C211yesmaximal, characteristic, complemented
21C43×#2334C211yesmaximal, characteristic, complemented
22C43×#2330C211yesmaximal, characteristic, complemented
23C43×#2329C211yesmaximal, characteristic, complemented
24C43×#2323C211yesmaximal, characteristic, complemented
25C43×#2322C211yesmaximal, characteristic, complemented
26C43×#2322C211yesmaximal, characteristic, complemented
27C43×#2322C211yesmaximal, characteristic, complemented
28C43×#2313C211yesmaximal, characteristic, complemented
29C4×#123×C43C211yesmaximal, characteristic, complemented
30C4×#123×C43C211yesmaximal, characteristic, complemented
31C2×C43×#389C211yesmaximal, characteristic, complemented
32C43×#539C4116yescomplemented
33C2×#126×C43C2211yescharacteristic
34C2×#126×C43C2211yescharacteristic
35C2×#125×C43C2211yescharacteristic
36C2×#125×C43C2211yescharacteristic
37C2×#123×C43C2211yescharacteristic
38C2×#123×C43C2211yescharacteristic
39C2×#123×C43C2211yescharacteristic
40C2×#123×C43C2211yescharacteristic
41C2×C22⋊Q8×C43C2211yescharacteristic
42C2×C22⋊Q8×C43C2211yescharacteristic
43C2×C22⋊Q8×C43C2211yescharacteristic
44C2×#121×C43C2211yescharacteristic
45C2×C4×Q8×C43C2211yescharacteristic
46C2×C4×D4×C43C2211yescharacteristic
47C2×C4×D4×C43C2211yescharacteristic
48C2×C4×D4×C43C2211yescharacteristic
49C2×C4×D4×C43C2211yescharacteristic
50C2×C4×D4×C43C2211yescharacteristic
51C2×C4×D4×C43C2211yescharacteristic
52C2×C4×D4×C43C2211yescharacteristic
53C2×#117×C43C2211yescharacteristic
54C22×C4⋊C4×C43C2211yescharacteristic
55C22×C4⋊C4×C43C2211yescharacteristic
56C22×C4⋊C4×C43C2211yescharacteristic
57C22×C4⋊C4×C43C2211yescharacteristic
58C22×C4⋊C4×C43C2211yescharacteristic
59C22×C42×C43C2211yescharacteristic
60C43×#391C2211yescharacteristic
61C43×#391C2211yescharacteristic
62C43×#391C2211yescharacteristic
63C43×#390C2211yescharacteristic
64C43×#389C2211yescharacteristic
65C43×#389C2211yescharacteristic
66C43×#389C2211yescharacteristic
67C43×#389C2211yescharacteristic
68C43×#389C2211yescharacteristic
69C43×#389C2211yescharacteristic
70C43×#389C2211yescharacteristic
71C43×#389C2211yescharacteristic
72C43×#389C2211yescharacteristic
73C43×#389C2211yescharacteristic
74C43×#389C2211yescharacteristic
75C43×#389C2211yescharacteristic
76C43×#389C2211yescharacteristic
77C43×#389C2211yescharacteristic
78C43×#389C2211yescharacteristic
79C43×#389C2211yescharacteristic
80C43×#389C2211yescharacteristic
81C43×#389C2211yescharacteristic
82C43×#389C2211yescharacteristic
83C43×#389C2211yescharacteristic
84C43×#388C2211yescharacteristic
85C43×#388C2211yescharacteristic
86C43×#388C2211yescharacteristic
87C43×#388C2211yescharacteristic
88C43×#388C2211yescharacteristic
89C43×#388C2211yescharacteristic
90C43×#388C2211yescharacteristic
91C43×#388C2211yescharacteristic
92C43×#388C2211yescharacteristic
93C43×#388C2211yescharacteristic
94C43×#388C2211yescharacteristic
95C43×#388C2211yescharacteristic
96C43×#388C2211yescharacteristic
97C43×#388C2211yescharacteristic
98C43×#388C2211yescharacteristic
99C43×#388C2211yescharacteristic
100C43×#387C2211yescharacteristic
101C43×#387C2211yescharacteristic
102C43×#387C2211yescharacteristic
103C43×#387C2211yescharacteristic
104C43×#387C2211yescharacteristic
105C43×#387C2211yescharacteristic
106C43×#387C2211yescharacteristic
107C43×#387C2211yescharacteristic
108C43×#387C2211yescharacteristic
109C43×#387C2211yescharacteristic
110C43×#387C2211yescharacteristic
111C43×#387C2211yescharacteristic
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×#386C2211yescharacteristic
129C43×#386C2211yescharacteristic
130C43×#386C2211yescharacteristic
131C43×#386C2211yescharacteristic
132C43×#386C2211yescharacteristic
133C43×#386C2211yescharacteristic
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×#384C2211yescharacteristic
149C43×#383C2211yescharacteristic
150C43×#382C2211yescharacteristic
151C43×#382C2211yescharacteristic
152C43×#381C2211yescharacteristic
153C43×#381C2211yescharacteristic
154C43×#381C2211yescharacteristic
155C43×#380C2211yescharacteristic
156C43×#380C2211yescharacteristic
157C43×#380C2211yescharacteristic
158C43×#380C2211yescharacteristic
159C43×#380C2211yescharacteristic
160C4×C4⋊C4×C43C2211yescharacteristic
161C4×C4⋊C4×C43C2211yescharacteristic
162C4×C4⋊C4×C43C2211yescharacteristic
163C4×C4⋊C4×C43C2211yescharacteristic
164C4×C4⋊C4×C43C2211yescharacteristic
165C4×C4⋊C4×C43C2211yescharacteristic
166C4×C4⋊C4×C43C2211yescharacteristic
167C4×C4⋊C4×C43C2211yescharacteristic
168C4×C4⋊C4×C43C2211yescharacteristic
169C4×C4⋊C4×C43C2211yescharacteristic
170C4×C4⋊C4×C43C2211yescharacteristic
171C4×C22⋊C4×C43C2211yescharacteristic
172C4×C22⋊C4×C43C2211yescharacteristic
173C4×C22⋊C4×C43C2211yescharacteristic
174C4×C22⋊C4×C43C2211yescharacteristic
175C4×C22⋊C4×C43C2211yescharacteristic
176C4×C22⋊C4×C43C2211yescharacteristic
177C4×C22⋊C4×C43C2211yescharacteristic
178C4×C22⋊C4×C43C2211yescharacteristic
179C4×C22⋊C4×C43C2211yescharacteristic
180C4×C22⋊C4×C43C2211yescharacteristic
181C4×C22⋊C4×C43C2211yescharacteristic
182C4×C22⋊C4×C43C2211yescharacteristic
183C4×C22⋊C4×C43C2211yescharacteristic
184C43×#376C2211yescharacteristic
185C2×#95×C43C2211yescharacteristic
186C2×#95×C43C2211yescharacteristic
187C2×#95×C43C2211yescharacteristic
188C22×Q8×C43C2311yescharacteristic
189C22×D4×C43C2311yescharacteristic
190C22×D4×C43C2311yescharacteristic
191C22×D4×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
200C23×C4×C43C2311yescharacteristic
201C23×C4×C43C2311yescharacteristic
202C23×C4×C43C2311yescharacteristic
203C23×C4×C43C2311yescharacteristic
204C23×C4×C43C2311yescharacteristic
205#126×C43C2×C418yescomplemented
206#126×C43C2×C418yescomplemented
207#125×C43C2×C418yescomplemented
208#125×C43C2×C418yescomplemented
209#123×C43C2×C418yescomplemented
210#123×C43C2×C418yescomplemented
211#123×C43C2×C418yescomplemented
212#123×C43C2×C418yescomplemented
213C22⋊Q8×C43C2×C418yescomplemented
214C22⋊Q8×C43C2×C418yescomplemented
215C22⋊Q8×C43C2×C418yescomplemented
216#121×C43C2×C418yes—
217C4×Q8×C43—42no—
218C4×D4×C43—42no—
219C4×D4×C43—42no—
220C4×D4×C43—42no—
221C4×D4×C43—42no—
222C4×D4×C43—42no—
223C4×D4×C43C2×C418yescomplemented
224C4×D4×C43C2×C418yescomplemented
225#117×C43—42no—
226C2×C4⋊C4×C43—42no—
227C2×C4⋊C4×C43—42no—
228C2×C4⋊C4×C43—42no—
229C2×C4⋊C4×C43—42no—
230C2×C4⋊C4×C43C2×C418yescomplemented
231C2×C4⋊C4×C43C2311yescharacteristic
232C2×C4⋊C4×C43C2311yescharacteristic
233C2×C4⋊C4×C43C2311yescharacteristic
234C2×C4⋊C4×C43C2311yescharacteristic
235C2×C4⋊C4×C43C2311yescharacteristic
236C2×C4⋊C4×C43C2311yescharacteristic
237C2×C4⋊C4×C43C2311yescharacteristic
238C2×C4⋊C4×C43C2311yescharacteristic
239C2×C4⋊C4×C43C2311yescharacteristic
240C2×C4⋊C4×C43C2311yescharacteristic
241C2×C4⋊C4×C43C2311yescharacteristic
242C2×C4⋊C4×C43C2311yescharacteristic
243C2×C4⋊C4×C43C2311yescharacteristic
244C2×C4⋊C4×C43C2311yescharacteristic
245C2×C4⋊C4×C43C2311yescharacteristic
246C2×C4⋊C4×C43C2311yescharacteristic
247C2×C4⋊C4×C43C2311yescharacteristic
248C2×C4⋊C4×C43C2311yescharacteristic
249C2×C4⋊C4×C43C2311yescharacteristic
250C2×C4⋊C4×C43C2311yescharacteristic
251C2×C4⋊C4×C43C2311yescharacteristic
252C2×C4⋊C4×C43C2311yescharacteristic
253C2×C4⋊C4×C43C2311yescharacteristic
254C2×C4⋊C4×C43C2311yescharacteristic
255C2×C4⋊C4×C43C2311yescharacteristic
256C2×C4⋊C4×C43C2311yescharacteristic
257C2×C4⋊C4×C43C2311yescharacteristic
258C2×C4⋊C4×C43C2311yescharacteristic
259C2×C4⋊C4×C43C2311yescharacteristic
260C2×C4⋊C4×C43C2311yescharacteristic
261C2×C4⋊C4×C43C2311yescharacteristic
262C2×C4⋊C4×C43C2311yescharacteristic
263C2×C4⋊C4×C43C2311yescharacteristic
264C2×C4⋊C4×C43C2311yescharacteristic
265C2×C4⋊C4×C43C2311yescharacteristic
266C2×C4⋊C4×C43C2311yescharacteristic
267C2×C4⋊C4×C43C2311yescharacteristic
268C2×C4⋊C4×C43C2311yescharacteristic
269C2×C4⋊C4×C43C2311yescharacteristic
270C2×C4⋊C4×C43C2311yescharacteristic
271C2×C4⋊C4×C43C2311yescharacteristic
272C2×C4⋊C4×C43C2311yescharacteristic
273C2×C22⋊C4×C43C2311yescharacteristic
274C2×C22⋊C4×C43C2311yescharacteristic
275C2×C22⋊C4×C43C2311yescharacteristic
276C2×C22⋊C4×C43C2311yescharacteristic
277C2×C22⋊C4×C43C2311yescharacteristic
278C2×C22⋊C4×C43C2311yescharacteristic
279C2×C22⋊C4×C43C2311yescharacteristic
280C2×C22⋊C4×C43C2311yescharacteristic
281C2×C22⋊C4×C43C2311yescharacteristic
282C2×C22⋊C4×C43C2311yescharacteristic
283C2×C22⋊C4×C43C2311yescharacteristic
284C2×C22⋊C4×C43C2311yescharacteristic
285C2×C22⋊C4×C43C2311yescharacteristic
286C2×C22⋊C4×C43C2311yescharacteristic
287C2×C22⋊C4×C43C2311yescharacteristic
288C2×C22⋊C4×C43C2311yescharacteristic
289C2×C22⋊C4×C43C2311yescharacteristic
290C2×C22⋊C4×C43C2311yescharacteristic
291C2×C22⋊C4×C43C2311yescharacteristic
292C2×C22⋊C4×C43C2311yescharacteristic
293C2×C22⋊C4×C43C2311yescharacteristic
294C2×C22⋊C4×C43C2311yescharacteristic
295C2×C22⋊C4×C43C2311yescharacteristic
296C2×C22⋊C4×C43C2311yescharacteristic
297C2×C22⋊C4×C43C2311yescharacteristic
298C2×C22⋊C4×C43C2311yescharacteristic
299C2×C42×C43—42no—
300C2×C42×C43C2311yescharacteristic
301C2×C42×C43C2311yescharacteristic
302C2×C42×C43C2311yescharacteristic
303C2×C42×C43C2311yescharacteristic
304C2×C42×C43C2311yescharacteristic
305C2×C42×C43C2311yescharacteristic
306C2×C42×C43C2311yescharacteristic
307C2×C42×C43C2311yescharacteristic
308C2×C42×C43C2311yescharacteristic
309C2×C42×C43C2311yescharacteristic
310C2×C42×C43C2311yescharacteristic
311C2×C42×C43C2311yescharacteristic
312C2×C42×C43C2311yescharacteristic
313C2×C42×C43C2311yescharacteristic
314C2×C42×C43C2311yescharacteristic
315C2×C42×C43C2311yescharacteristic
316C2×C42×C43C2311yescharacteristic
317C2×C42×C43C2311yescharacteristic
318C2×C42×C43C2311yescharacteristic
319C2×C42×C43C2311yescharacteristic
320C2×C42×C43C2311yescharacteristic
321C2×C42×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
363#95×C43C2311yescharacteristic
364#95×C43C2311yescharacteristic
365#95×C43C2311yescharacteristic
366#95×C43C2311yescharacteristic
367#95×C43C2311yescharacteristic
368#95×C43C2311yescharacteristic
369#95×C43C2311yescharacteristic
370C24×C43C2411yescharacteristic
371C24×C43C2411yescharacteristic
372C24×C43C2411yescharacteristic
373C2×Q8×C43—41no—
374C2×Q8×C43—41no—
375C2×Q8×C43C22×C414yes—
376C2×D4×C43—22no—
377C2×D4×C43—22no—
378C2×D4×C43—22no—
379C2×D4×C43—22no—
380C2×D4×C43—41no—
381C2×D4×C43—41no—
382C2×D4×C43C22×C414yes—
383C2×D4×C43C22×C414yes—
384C2×D4×C43C22×C414yes—
385C22×C4×C43—22no—
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—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—41no—
403C22×C4×C43—41no—
404C22×C4×C43—41no—
405C22×C4×C43—41no—
406C22×C4×C43—41no—
407C22×C4×C43—41no—
408C22×C4×C43—41no—
409C22×C4×C43—41no—
410C22×C4×C43—41no—
411C22×C4×C43—41no—
412C22×C4×C43—41no—
413C22×C4×C43—41no—
414C22×C4×C43—41no—
415C22×C4×C43—41no—
416C22×C4×C43—41no—
417C22×C4×C43—41no—
418C22×C4×C43—41no—
419C22×C4×C43C22×C414yes—
420C22×C4×C43C22×C414yes—
421C22×C4×C43C22×C414yes—
422C22×C4×C43C22×C414yes—
423C22×C4×C43C22×C414yes—
424C22×C4×C43C2411yescharacteristic
425C22×C4×C43C2411yescharacteristic
426C22×C4×C43C2411yescharacteristic
427C22×C4×C43C2411yescharacteristic
428C22×C4×C43C2411yescharacteristic
429C22×C4×C43C2411yescharacteristic
430C22×C4×C43C2411yescharacteristic
431C22×C4×C43C2411yescharacteristic
432C22×C4×C43C2411yescharacteristic
433C22×C4×C43C2411yescharacteristic
434C22×C4×C43C2411yescharacteristic
435C22×C4×C43C2411yescharacteristic
436C22×C4×C43C2411yescharacteristic
437C22×C4×C43C2411yescharacteristic
438C22×C4×C43C2411yescharacteristic
439C22×C4×C43C2411yescharacteristic
440C22×C4×C43C2411yescharacteristic
441C22×C4×C43C2411yescharacteristic
442C22×C4×C43C2411yescharacteristic
443C22×C4×C43C2411yescharacteristic
444C22×C4×C43C2411yescharacteristic
445C22×C4×C43C2411yescharacteristic
446C22×C4×C43C2411yescharacteristic
447C22×C4×C43C2411yescharacteristic
448C22×C4×C43C2411yescharacteristic
449C22×C4×C43C2411yescharacteristic
450C22×C4×C43C2411yescharacteristic
451C22×C4×C43C2411yescharacteristic
452C4⋊C4×C43—22no—
453C4⋊C4×C43—22no—
454C4⋊C4×C43—22no—
455C4⋊C4×C43—22no—
456C4⋊C4×C43—22no—
457C4⋊C4×C43—22no—
458C4⋊C4×C43—41no—
459C4⋊C4×C43—41no—
460C4⋊C4×C43—41no—
461C4⋊C4×C43—41no—
462C4⋊C4×C43—41no—
463C4⋊C4×C43—41no—
464C4⋊C4×C43—41no—
465C4⋊C4×C43—41no—
466C4⋊C4×C43—41no—
467C4⋊C4×C43—41no—
468C4⋊C4×C43—41no—
469C4⋊C4×C43—41no—
470C4⋊C4×C43—41no—
471C4⋊C4×C43—41no—
472C4⋊C4×C43—41no—
473C4⋊C4×C43—41no—
474C4⋊C4×C43—41no—
475C4⋊C4×C43—41no—
476C4⋊C4×C43—41no—
477C4⋊C4×C43—41no—
478C4⋊C4×C43—41no—
479C4⋊C4×C43—41no—
480C4⋊C4×C43C22×C414yes—
481C4⋊C4×C43C22×C414yes—
482C4⋊C4×C43C22×C414yes—
483C4⋊C4×C43C22×C414yes—
484C4⋊C4×C43C22×C414yes—
485C4⋊C4×C43C22×C414yes—
486C4⋊C4×C43C22×C414yes—
487C4⋊C4×C43C22×C414yes—
488C4⋊C4×C43C22×C414yes—
489C4⋊C4×C43C22×C414yes—
490C4⋊C4×C43C22×C414yes—
491C4⋊C4×C43C22×C414yes—
492C4⋊C4×C43C22×C414yes—
493C4⋊C4×C43C22×C414yes—
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—41no—
501C22⋊C4×C43—41no—
502C22⋊C4×C43—41no—
503C22⋊C4×C43—41no—
504C22⋊C4×C43—41no—
505C22⋊C4×C43—41no—
506C22⋊C4×C43—41no—
507C22⋊C4×C43—41no—
508C22⋊C4×C43—41no—
509C22⋊C4×C43—41no—
510C22⋊C4×C43C22×C414yes—
511C22⋊C4×C43C22×C414yes—
512C22⋊C4×C43C22×C414yes—
513C22⋊C4×C43C22×C414yes—
514C22⋊C4×C43C22×C414yes—
515C22⋊C4×C43C22×C414yes—
516C22⋊C4×C43C22×C414yes—
517C22⋊C4×C43C22×C414yes—
518C22⋊C4×C43C22×C414yes—
519C22⋊C4×C43C22×C414yes—
520C42×C43—22no—
521C42×C43—22no—
522C42×C43—41no—
523C42×C43—41no—
524C42×C43—41no—
525C42×C43—41no—
526C42×C43—41no—
527C42×C43—41no—
528C42×C43—41no—
529C42×C43—41no—
530C42×C43—41no—
531C42×C43—41no—
532C42×C43—41no—
533C42×C43—41no—
534C42×C43—41no—
535C42×C43—41no—
536C42×C43—41no—
537C42×C43—41no—
538C42×C43—41no—
539C42×C43—41no—
540C42×C43C22×C414yes—
541C42×C43C22×C414yes—
542C23×C43—21no—
543C23×C43—21no—
544C23×C43—21no—
545C23×C43—21no—
546C23×C43—21no—
547C23×C43—21no—
548C23×C43—21no—
549C23×C43—21no—
550C23×C43—21no—
551C23×C43—21no—
552C23×C43—21no—
553C23×C43—21no—
554C23×C43—21no—
555C23×C43—21no—
556C23×C43—21no—
557C23×C43—21no—
558C23×C43C23×C412yes—
559C23×C43C23×C412yes—
560C23×C43C23×C412yes—
561C23×C43H(5,𝔽2)12yes—
562C23×C432−1+412yes—
563C23×C43C2511yescharacteristic
564Q8×C43—44no—
565D4×C43—28no—
566D4×C43—28no—
567D4×C43—44no—
568C2×C4×C43—28no—
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—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—44no—
640C2×C4×C43—44no—
641C2×C4×C43—44no—
642C2×C4×C43—44no—
643C2×C4×C43—44no—
644C2×C4×C43—44no—
645C2×C4×C43—82no—
646C2×C4×C43—82no—
647C2×C4×C43—82no—
648C2×C4×C43—82no—
649C2×C4×C43—82no—
650C2×C4×C43—82no—
651C2×C4×C43C23×C412yes—
652C2×C4×C43C23×C412yes—
653C2×C4×C43C23×C412yes—
654C2×C4×C43C23×C412yes—
655C2×C4×C43C23×C412yes—
656C2×C4×C43C23×C412yes—
657C2×C4×C43C23×C412yes—
658C2×C4×C43C23×C412yes—
659C2×C4×C43C23×C412yes—
660C2×C4×C43C23×C412yes—
661C2×C4×C43C23×C412yes—
662C2×C4×C43C23×C412yes—
663C2×C4×C43H(5,𝔽2)12yes—
664C2×C4×C432−1+412yes—
665#34417C4311yesmaximal, characteristic, direct product factor, Sylow
666C22×C43—22no—
667C22×C43—22no—
668C22×C43—22no—
669C22×C43—22no—
670C22×C43—22no—
671C22×C43—22no—
672C22×C43—22no—
673C22×C43—22no—
674C22×C43—22no—
675C22×C43—22no—
676C22×C43—22no—
677C22×C43—22no—
678C22×C43—41no—
679C22×C43—41no—
680C22×C43—41no—
681C22×C43—41no—
682C22×C43—41no—
683C22×C43—41no—
684C22×C43—41no—
685C22×C43—41no—
686C22×C43#52014yes—
687C22×C43C24×C411yescharacteristic
688C22×C43C2×H(5,𝔽2)11yescharacteristic
689C22×C43C2×H(5,𝔽2)11yescharacteristic
690C22×C43C2×2−1+411yescharacteristic
691C22×C43C2×2−1+411yescharacteristic
692C22×C43#58511yescharacteristic
693C22×C43#58511yescharacteristic
694C4×C43—22no—
695C4×C43—22no—
696C4×C43—22no—
697C4×C43—22no—
698C4×C43—22no—
699C4×C43—22no—
700C4×C43—22no—
701C4×C43—22no—
702C4×C43—22no—
703C4×C43—22no—
704C4×C43—22no—
705C4×C43—22no—
706C4×C43—22no—
707C4×C43—22no—
708C4×C43—41no—
709C4×C43—41no—
710C4×C43—41no—
711C4×C43—41no—
712C4×C43—41no—
713C4×C43—41no—
714C4×C43—41no—
715C4×C43—41no—
716C4×C43—41no—
717C4×C43—41no—
718C4×C43—41no—
719C4×C43—41no—
720C4×C43—41no—
721C4×C43—41no—
722C2×#539C2×C4311yescharacteristic
723#2383C2×C4311yescharacteristic, complemented
724#2382C2×C4311yescharacteristic, complemented
725#2378C2×C4311yescharacteristic, complemented
726#2376C2×C4311yescharacteristic, complemented
727#2373C2×C4311yescharacteristic, complemented
728#2370C2×C4311yescharacteristic, complemented
729#2368C2×C4311yescharacteristic, complemented
730#2364C2×C4311yescharacteristic
731#2361C2×C4311yescharacteristic
732#2360C2×C4311yescharacteristic, complemented
733#2360C2×C4311yescharacteristic, complemented
734#2359C2×C4311yescharacteristic, complemented
735#2353C2×C4311yescharacteristic, complemented
736#2352C2×C4311yescharacteristic, complemented
737#2349C2×C4311yescharacteristic, complemented
738D4×C4⋊C4C2×C4311yescharacteristic, complemented
739#2336C2×C4311yescharacteristic, complemented
740#2335C2×C4311yescharacteristic, complemented
741#2334C2×C4311yescharacteristic, complemented
742#2334C2×C4311yescharacteristic, complemented
743#2330C2×C4311yescharacteristic, complemented
744#2329C2×C4311yescharacteristic, complemented
745#2323C2×C4311yescharacteristic, complemented
746#2322C2×C4311yescharacteristic, complemented
747#2322C2×C4311yescharacteristic, complemented
748#2322C2×C4311yescharacteristic, complemented
749#2313C2×C4311yescharacteristic, complemented
750C4×#123C2×C4311yescharacteristic, complemented
751C4×#123C2×C4311yescharacteristic, complemented
752C2×#389C2×C4311yescharacteristic, complemented
753C2×C43—24no—
754C2×C43—42no—
755C2×C43—42no—
756C2×C43C2×#52011yescharacteristic
757C2×C43C4×H(5,𝔽2)11yescharacteristic
758C2×C43C4×2−1+411yescharacteristic
759C2×C43#353411yescharacteristic
760C2×C43#353511yescharacteristic
761C2×C43#355211yescharacteristic
762C2×C43#355311yescharacteristic
763#539C4×C43116yescomplemented
764C2×#126C22×C4311yescharacteristic
765C2×#126C22×C4311yescharacteristic
766C2×#125C22×C4311yescharacteristic
767C2×#125C22×C4311yescharacteristic
768C2×#123C22×C4311yescharacteristic
769C2×#123C22×C4311yescharacteristic
770C2×#123C22×C4311yescharacteristic
771C2×#123C22×C4311yescharacteristic
772C2×C22⋊Q8C22×C4311yescharacteristic
773C2×C22⋊Q8C22×C4311yescharacteristic
774C2×C22⋊Q8C22×C4311yescharacteristic
775C2×#121C22×C4311yescharacteristic
776C2×C4×Q8C22×C4311yescharacteristic
777C2×C4×D4C22×C4311yescharacteristic
778C2×C4×D4C22×C4311yescharacteristic
779C2×C4×D4C22×C4311yescharacteristic
780C2×C4×D4C22×C4311yescharacteristic
781C2×C4×D4C22×C4311yescharacteristic
782C2×C4×D4C22×C4311yescharacteristic
783C2×C4×D4C22×C4311yescharacteristic
784C2×#117C22×C4311yescharacteristic
785C22×C4⋊C4C22×C4311yescharacteristic
786C22×C4⋊C4C22×C4311yescharacteristic
787C22×C4⋊C4C22×C4311yescharacteristic
788C22×C4⋊C4C22×C4311yescharacteristic
789C22×C4⋊C4C22×C4311yescharacteristic
790C22×C42C22×C4311yescharacteristic
791#391C22×C4311yescharacteristic
792#391C22×C4311yescharacteristic
793#391C22×C4311yescharacteristic
794#390C22×C4311yescharacteristic
795#389C22×C4311yescharacteristic
796#389C22×C4311yescharacteristic
797#389C22×C4311yescharacteristic
798#389C22×C4311yescharacteristic
799#389C22×C4311yescharacteristic
800#389C22×C4311yescharacteristic
801#389C22×C4311yescharacteristic
802#389C22×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#387C22×C4311yescharacteristic
832#387C22×C4311yescharacteristic
833#387C22×C4311yescharacteristic
834#387C22×C4311yescharacteristic
835#387C22×C4311yescharacteristic
836#387C22×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#385C22×C4311yescharacteristic
866#385C22×C4311yescharacteristic
867#385C22×C4311yescharacteristic
868#385C22×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#384C22×C4311yescharacteristic
880#383C22×C4311yescharacteristic
881#382C22×C4311yescharacteristic
882#382C22×C4311yescharacteristic
883#381C22×C4311yescharacteristic
884#381C22×C4311yescharacteristic
885#381C22×C4311yescharacteristic
886#380C22×C4311yescharacteristic
887#380C22×C4311yescharacteristic
888#380C22×C4311yescharacteristic
889#380C22×C4311yescharacteristic
890#380C22×C4311yescharacteristic
891C4×C4⋊C4C22×C4311yescharacteristic
892C4×C4⋊C4C22×C4311yescharacteristic
893C4×C4⋊C4C22×C4311yescharacteristic
894C4×C4⋊C4C22×C4311yescharacteristic
895C4×C4⋊C4C22×C4311yescharacteristic
896C4×C4⋊C4C22×C4311yescharacteristic
897C4×C4⋊C4C22×C4311yescharacteristic
898C4×C4⋊C4C22×C4311yescharacteristic
899C4×C4⋊C4C22×C4311yescharacteristic
900C4×C4⋊C4C22×C4311yescharacteristic
901C4×C4⋊C4C22×C4311yescharacteristic
902C4×C22⋊C4C22×C4311yescharacteristic
903C4×C22⋊C4C22×C4311yescharacteristic
904C4×C22⋊C4C22×C4311yescharacteristic
905C4×C22⋊C4C22×C4311yescharacteristic
906C4×C22⋊C4C22×C4311yescharacteristic
907C4×C22⋊C4C22×C4311yescharacteristic
908C4×C22⋊C4C22×C4311yescharacteristic
909C4×C22⋊C4C22×C4311yescharacteristic
910C4×C22⋊C4C22×C4311yescharacteristic
911C4×C22⋊C4C22×C4311yescharacteristic
912C4×C22⋊C4C22×C4311yescharacteristic
913C4×C22⋊C4C22×C4311yescharacteristic
914C4×C22⋊C4C22×C4311yescharacteristic
915#376C22×C4311yescharacteristic
916C2×#95C22×C4311yescharacteristic
917C2×#95C22×C4311yescharacteristic
918C2×#95C22×C4311yescharacteristic
919C43#3441711yescharacteristic, direct product factor, Sylow
920C22×Q8C23×C4311yescharacteristic
921C22×D4C23×C4311yescharacteristic
922C22×D4C23×C4311yescharacteristic
923C22×D4C23×C4311yescharacteristic
924C23×C4C23×C4311yescharacteristic
925C23×C4C23×C4311yescharacteristic
926C23×C4C23×C4311yescharacteristic
927C23×C4C23×C4311yescharacteristic
928C23×C4C23×C4311yescharacteristic
929C23×C4C23×C4311yescharacteristic
930C23×C4C23×C4311yescharacteristic
931C23×C4C23×C4311yescharacteristic
932C23×C4C23×C4311yescharacteristic
933C23×C4C23×C4311yescharacteristic
934C23×C4C23×C4311yescharacteristic
935C23×C4C23×C4311yescharacteristic
936C23×C4C23×C4311yescharacteristic
937#126C2×C4×C4318yescomplemented
938#126C2×C4×C4318yescomplemented
939#125C2×C4×C4318yescomplemented
940#125C2×C4×C4318yescomplemented
941#123C2×C4×C4318yescomplemented
942#123C2×C4×C4318yescomplemented
943#123C2×C4×C4318yescomplemented
944#123C2×C4×C4318yescomplemented
945C22⋊Q8C2×C4×C4318yescomplemented
946C22⋊Q8C2×C4×C4318yescomplemented
947C22⋊Q8C2×C4×C4318yescomplemented
948#121C2×C4×C4318yes—
949C4×Q8—42no—
950C4×D4—42no—
951C4×D4—42no—
952C4×D4—42no—
953C4×D4—42no—
954C4×D4—42no—
955C4×D4C2×C4×C4318yescomplemented
956C4×D4C2×C4×C4318yescomplemented
957#117—42no—
958C2×C4⋊C4—42no—
959C2×C4⋊C4—42no—
960C2×C4⋊C4—42no—
961C2×C4⋊C4—42no—
962C2×C4⋊C4C2×C4×C4318yescomplemented
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×C4⋊C4C23×C4311yescharacteristic
970C2×C4⋊C4C23×C4311yescharacteristic
971C2×C4⋊C4C23×C4311yescharacteristic
972C2×C4⋊C4C23×C4311yescharacteristic
973C2×C4⋊C4C23×C4311yescharacteristic
974C2×C4⋊C4C23×C4311yescharacteristic
975C2×C4⋊C4C23×C4311yescharacteristic
976C2×C4⋊C4C23×C4311yescharacteristic
977C2×C4⋊C4C23×C4311yescharacteristic
978C2×C4⋊C4C23×C4311yescharacteristic
979C2×C4⋊C4C23×C4311yescharacteristic
980C2×C4⋊C4C23×C4311yescharacteristic
981C2×C4⋊C4C23×C4311yescharacteristic
982C2×C4⋊C4C23×C4311yescharacteristic
983C2×C4⋊C4C23×C4311yescharacteristic
984C2×C4⋊C4C23×C4311yescharacteristic
985C2×C4⋊C4C23×C4311yescharacteristic
986C2×C4⋊C4C23×C4311yescharacteristic
987C2×C4⋊C4C23×C4311yescharacteristic
988C2×C4⋊C4C23×C4311yescharacteristic
989C2×C4⋊C4C23×C4311yescharacteristic
990C2×C4⋊C4C23×C4311yescharacteristic
991C2×C4⋊C4C23×C4311yescharacteristic
992C2×C4⋊C4C23×C4311yescharacteristic
993C2×C4⋊C4C23×C4311yescharacteristic
994C2×C4⋊C4C23×C4311yescharacteristic
995C2×C4⋊C4C23×C4311yescharacteristic
996C2×C4⋊C4C23×C4311yescharacteristic
997C2×C4⋊C4C23×C4311yescharacteristic
998C2×C4⋊C4C23×C4311yescharacteristic
999C2×C4⋊C4C23×C4311yescharacteristic
1000C2×C4⋊C4C23×C4311yescharacteristic
1001C2×C4⋊C4C23×C4311yescharacteristic
1002C2×C4⋊C4C23×C4311yescharacteristic
1003C2×C4⋊C4C23×C4311yescharacteristic
1004C2×C4⋊C4C23×C4311yescharacteristic
1005C2×C22⋊C4C23×C4311yescharacteristic
1006C2×C22⋊C4C23×C4311yescharacteristic
1007C2×C22⋊C4C23×C4311yescharacteristic
1008C2×C22⋊C4C23×C4311yescharacteristic
1009C2×C22⋊C4C23×C4311yescharacteristic
1010C2×C22⋊C4C23×C4311yescharacteristic
1011C2×C22⋊C4C23×C4311yescharacteristic
1012C2×C22⋊C4C23×C4311yescharacteristic
1013C2×C22⋊C4C23×C4311yescharacteristic
1014C2×C22⋊C4C23×C4311yescharacteristic
1015C2×C22⋊C4C23×C4311yescharacteristic
1016C2×C22⋊C4C23×C4311yescharacteristic
1017C2×C22⋊C4C23×C4311yescharacteristic
1018C2×C22⋊C4C23×C4311yescharacteristic
1019C2×C22⋊C4C23×C4311yescharacteristic
1020C2×C22⋊C4C23×C4311yescharacteristic
1021C2×C22⋊C4C23×C4311yescharacteristic
1022C2×C22⋊C4C23×C4311yescharacteristic
1023C2×C22⋊C4C23×C4311yescharacteristic
1024C2×C22⋊C4C23×C4311yescharacteristic
1025C2×C22⋊C4C23×C4311yescharacteristic
1026C2×C22⋊C4C23×C4311yescharacteristic
1027C2×C22⋊C4C23×C4311yescharacteristic
1028C2×C22⋊C4C23×C4311yescharacteristic
1029C2×C22⋊C4C23×C4311yescharacteristic
1030C2×C22⋊C4C23×C4311yescharacteristic
1031C2×C42—42no—
1032C2×C42C23×C4311yescharacteristic
1033C2×C42C23×C4311yescharacteristic
1034C2×C42C23×C4311yescharacteristic
1035C2×C42C23×C4311yescharacteristic
1036C2×C42C23×C4311yescharacteristic
1037C2×C42C23×C4311yescharacteristic
1038C2×C42C23×C4311yescharacteristic
1039C2×C42C23×C4311yescharacteristic
1040C2×C42C23×C4311yescharacteristic
1041C2×C42C23×C4311yescharacteristic
1042C2×C42C23×C4311yescharacteristic
1043C2×C42C23×C4311yescharacteristic
1044C2×C42C23×C4311yescharacteristic
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
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
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
1102C24C24×C4311yescharacteristic
1103C24C24×C4311yescharacteristic
1104C24C24×C4311yescharacteristic
1105C2×Q8—41no—
1106C2×Q8—41no—
1107C2×Q8C22×C4×C4314yes—
1108C2×D4—22no—
1109C2×D4—22no—
1110C2×D4—22no—
1111C2×D4—22no—
1112C2×D4—41no—
1113C2×D4—41no—
1114C2×D4C22×C4×C4314yes—
1115C2×D4C22×C4×C4314yes—
1116C2×D4C22×C4×C4314yes—
1117C22×C4—22no—
1118C22×C4—22no—
1119C22×C4—22no—
1120C22×C4—22no—
1121C22×C4—22no—
1122C22×C4—22no—
1123C22×C4—22no—
1124C22×C4—22no—
1125C22×C4—22no—
1126C22×C4—22no—
1127C22×C4—41no—
1128C22×C4—41no—
1129C22×C4—41no—
1130C22×C4—41no—
1131C22×C4—41no—
1132C22×C4—41no—
1133C22×C4—41no—
1134C22×C4—41no—
1135C22×C4—41no—
1136C22×C4—41no—
1137C22×C4—41no—
1138C22×C4—41no—
1139C22×C4—41no—
1140C22×C4—41no—
1141C22×C4—41no—
1142C22×C4—41no—
1143C22×C4—41no—
1144C22×C4—41no—
1145C22×C4—41no—
1146C22×C4—41no—
1147C22×C4—41no—
1148C22×C4—41no—
1149C22×C4—41no—
1150C22×C4—41no—
1151C22×C4C22×C4×C4314yes—
1152C22×C4C22×C4×C4314yes—
1153C22×C4C22×C4×C4314yes—
1154C22×C4C22×C4×C4314yes—
1155C22×C4C22×C4×C4314yes—
1156C22×C4C24×C4311yescharacteristic
1157C22×C4C24×C4311yescharacteristic
1158C22×C4C24×C4311yescharacteristic
1159C22×C4C24×C4311yescharacteristic
1160C22×C4C24×C4311yescharacteristic
1161C22×C4C24×C4311yescharacteristic
1162C22×C4C24×C4311yescharacteristic
1163C22×C4C24×C4311yescharacteristic
1164C22×C4C24×C4311yescharacteristic
1165C22×C4C24×C4311yescharacteristic
1166C22×C4C24×C4311yescharacteristic
1167C22×C4C24×C4311yescharacteristic
1168C22×C4C24×C4311yescharacteristic
1169C22×C4C24×C4311yescharacteristic
1170C22×C4C24×C4311yescharacteristic
1171C22×C4C24×C4311yescharacteristic
1172C22×C4C24×C4311yescharacteristic
1173C22×C4C24×C4311yescharacteristic
1174C22×C4C24×C4311yescharacteristic
1175C22×C4C24×C4311yescharacteristic
1176C22×C4C24×C4311yescharacteristic
1177C22×C4C24×C4311yescharacteristic
1178C22×C4C24×C4311yescharacteristic
1179C22×C4C24×C4311yescharacteristic
1180C22×C4C24×C4311yescharacteristic
1181C22×C4C24×C4311yescharacteristic
1182C22×C4C24×C4311yescharacteristic
1183C22×C4C24×C4311yescharacteristic
1184C4⋊C4—22no—
1185C4⋊C4—22no—
1186C4⋊C4—22no—
1187C4⋊C4—22no—
1188C4⋊C4—22no—
1189C4⋊C4—22no—
1190C4⋊C4—41no—
1191C4⋊C4—41no—
1192C4⋊C4—41no—
1193C4⋊C4—41no—
1194C4⋊C4—41no—
1195C4⋊C4—41no—
1196C4⋊C4—41no—
1197C4⋊C4—41no—
1198C4⋊C4—41no—
1199C4⋊C4—41no—
1200C4⋊C4—41no—
1201C4⋊C4—41no—
1202C4⋊C4—41no—
1203C4⋊C4—41no—
1204C4⋊C4—41no—
1205C4⋊C4—41no—
1206C4⋊C4—41no—
1207C4⋊C4—41no—
1208C4⋊C4—41no—
1209C4⋊C4—41no—
1210C4⋊C4—41no—
1211C4⋊C4—41no—
1212C4⋊C4C22×C4×C4314yes—
1213C4⋊C4C22×C4×C4314yes—
1214C4⋊C4C22×C4×C4314yes—
1215C4⋊C4C22×C4×C4314yes—
1216C4⋊C4C22×C4×C4314yes—
1217C4⋊C4C22×C4×C4314yes—
1218C4⋊C4C22×C4×C4314yes—
1219C4⋊C4C22×C4×C4314yes—
1220C4⋊C4C22×C4×C4314yes—
1221C4⋊C4C22×C4×C4314yes—
1222C4⋊C4C22×C4×C4314yes—
1223C4⋊C4C22×C4×C4314yes—
1224C4⋊C4C22×C4×C4314yes—
1225C4⋊C4C22×C4×C4314yes—
1226C22⋊C4—22no—
1227C22⋊C4—22no—
1228C22⋊C4—22no—
1229C22⋊C4—22no—
1230C22⋊C4—22no—
1231C22⋊C4—22no—
1232C22⋊C4—41no—
1233C22⋊C4—41no—
1234C22⋊C4—41no—
1235C22⋊C4—41no—
1236C22⋊C4—41no—
1237C22⋊C4—41no—
1238C22⋊C4—41no—
1239C22⋊C4—41no—
1240C22⋊C4—41no—
1241C22⋊C4—41no—
1242C22⋊C4C22×C4×C4314yes—
1243C22⋊C4C22×C4×C4314yes—
1244C22⋊C4C22×C4×C4314yes—
1245C22⋊C4C22×C4×C4314yes—
1246C22⋊C4C22×C4×C4314yes—
1247C22⋊C4C22×C4×C4314yes—
1248C22⋊C4C22×C4×C4314yes—
1249C22⋊C4C22×C4×C4314yes—
1250C22⋊C4C22×C4×C4314yes—
1251C22⋊C4C22×C4×C4314yes—
1252C42—22no—
1253C42—22no—
1254C42—41no—
1255C42—41no—
1256C42—41no—
1257C42—41no—
1258C42—41no—
1259C42—41no—
1260C42—41no—
1261C42—41no—
1262C42—41no—
1263C42—41no—
1264C42—41no—
1265C42—41no—
1266C42—41no—
1267C42—41no—
1268C42—41no—
1269C42—41no—
1270C42—41no—
1271C42—41no—
1272C42C22×C4×C4314yes—
1273C42C22×C4×C4314yes—
1274C23—21no—
1275C23—21no—
1276C23—21no—
1277C23—21no—
1278C23—21no—
1279C23—21no—
1280C23—21no—
1281C23—21no—
1282C23—21no—
1283C23—21no—
1284C23—21no—
1285C23—21no—
1286C23—21no—
1287C23—21no—
1288C23—21no—
1289C23—21no—
1290C23C23×C4×C4312yes—
1291C23C23×C4×C4312yes—
1292C23C23×C4×C4312yes—
1293C23H(5,𝔽2)×C4312yes—
1294C232−1+4×C4312yes—
1295C23C25×C4311yescharacteristic
1296Q8—44no—
1297D4—28no—
1298D4—28no—
1299D4—44no—
1300C2×C4—28no—
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—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—44no—
1372C2×C4—44no—
1373C2×C4—44no—
1374C2×C4—44no—
1375C2×C4—44no—
1376C2×C4—44no—
1377C2×C4—82no—
1378C2×C4—82no—
1379C2×C4—82no—
1380C2×C4—82no—
1381C2×C4—82no—
1382C2×C4—82no—
1383C2×C4C23×C4×C4312yes—
1384C2×C4C23×C4×C4312yes—
1385C2×C4C23×C4×C4312yes—
1386C2×C4C23×C4×C4312yes—
1387C2×C4C23×C4×C4312yes—
1388C2×C4C23×C4×C4312yes—
1389C2×C4C23×C4×C4312yes—
1390C2×C4C23×C4×C4312yes—
1391C2×C4C23×C4×C4312yes—
1392C2×C4C23×C4×C4312yes—
1393C2×C4C23×C4×C4312yes—
1394C2×C4C23×C4×C4312yes—
1395C2×C4H(5,𝔽2)×C4312yes—
1396C2×C42−1+4×C4312yes—
1397C22—22no—
1398C22—22no—
1399C22—22no—
1400C22—22no—
1401C22—22no—
1402C22—22no—
1403C22—22no—
1404C22—22no—
1405C22—22no—
1406C22—22no—
1407C22—22no—
1408C22—22no—
1409C22—41no—
1410C22—41no—
1411C22—41no—
1412C22—41no—
1413C22—41no—
1414C22—41no—
1415C22—41no—
1416C22—41no—
1417C22C43×#52014yes—
1418C22C24×C4×C4311yescharacteristic
1419C22C2×H(5,𝔽2)×C4311yescharacteristic
1420C22C2×H(5,𝔽2)×C4311yescharacteristic
1421C22C2×2−1+4×C4311yescharacteristic
1422C22C2×2−1+4×C4311yescharacteristic
1423C22C43×#58511yescharacteristic
1424C22C43×#58511yescharacteristic
1425C4—22no—
1426C4—22no—
1427C4—22no—
1428C4—22no—
1429C4—22no—
1430C4—22no—
1431C4—22no—
1432C4—22no—
1433C4—22no—
1434C4—22no—
1435C4—22no—
1436C4—22no—
1437C4—22no—
1438C4—22no—
1439C4—41no—
1440C4—41no—
1441C4—41no—
1442C4—41no—
1443C4—41no—
1444C4—41no—
1445C4—41no—
1446C4—41no—
1447C4—41no—
1448C4—41no—
1449C4—41no—
1450C4—41no—
1451C4—41no—
1452C4—41no—
1453C2—24no—
1454C2—42no—
1455C2—42no—
1456C2C2×C43×#52011yescharacteristic
1457C2C4×H(5,𝔽2)×C4311yescharacteristic
1458C2C4×2−1+4×C4311yescharacteristic
1459C2C43×#353411yescharacteristic
1460C2C43×#353511yescharacteristic
1461C2C43×#355211yescharacteristic
1462C2C43×#355311yescharacteristic
subgroupG/H
center, socleC23×C43C25
commutatorC22C24×C4×C43
Frattini, cosocleC23C25×C43
prime radicalC2×#121×C43C22
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C23×C43 ◁ G

Complements

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

NH ≅ G/Ntype
2. C43×#2383C2semidirect
3. C43×#2382C2semidirect
4. C43×#2378C2semidirect
5. C43×#2376C2semidirect
6. C43×#2373C2semidirect
7. C43×#2370C2semidirect
8. C43×#2368C2semidirect
11. C43×#2360C2semidirect
12. C43×#2360C2semidirect
13. C43×#2359C2semidirect
14. C43×#2353C2semidirect
15. C43×#2352C2semidirect
16. C43×#2349C2semidirect
17. D4×C4⋊C4×C43C2semidirect
18. C43×#2336C2semidirect
19. C43×#2335C2semidirect
20. C43×#2334C2semidirect
21. C43×#2334C2semidirect
22. C43×#2330C2semidirect
23. C43×#2329C2semidirect
24. C43×#2323C2semidirect
25. C43×#2322C2semidirect
26. C43×#2322C2semidirect
27. C43×#2322C2semidirect
28. C43×#2313C2semidirect
29. C4×#123×C43C2semidirect
30. C4×#123×C43C2semidirect
31. C2×C43×#389C2semidirect
32. C43×#539C4semidirect
205. #126×C43C2×C4semidirect
206. #126×C43C2×C4semidirect
207. #125×C43C2×C4semidirect
208. #125×C43C2×C4semidirect
209. #123×C43C2×C4semidirect
210. #123×C43C2×C4semidirect
211. #123×C43C2×C4semidirect
212. #123×C43C2×C4semidirect
213. C22⋊Q8×C43C2×C4semidirect
214. C22⋊Q8×C43C2×C4semidirect
215. C22⋊Q8×C43C2×C4semidirect
223. C4×D4×C43C2×C4semidirect
224. C4×D4×C43C2×C4semidirect
230. C2×C4⋊C4×C43C2×C4semidirect
665. #34417C43direct (N × H)
723. #2383C2×C43semidirect
724. #2382C2×C43semidirect
725. #2378C2×C43semidirect
726. #2376C2×C43semidirect
727. #2373C2×C43semidirect
728. #2370C2×C43semidirect
729. #2368C2×C43semidirect
732. #2360C2×C43semidirect
733. #2360C2×C43semidirect
734. #2359C2×C43semidirect
735. #2353C2×C43semidirect
736. #2352C2×C43semidirect
737. #2349C2×C43semidirect
738. D4×C4⋊C4C2×C43semidirect
739. #2336C2×C43semidirect
740. #2335C2×C43semidirect
741. #2334C2×C43semidirect
742. #2334C2×C43semidirect
743. #2330C2×C43semidirect
744. #2329C2×C43semidirect
745. #2323C2×C43semidirect
746. #2322C2×C43semidirect
747. #2322C2×C43semidirect
748. #2322C2×C43semidirect
749. #2313C2×C43semidirect
750. C4×#123C2×C43semidirect
751. C4×#123C2×C43semidirect
752. C2×#389C2×C43semidirect
763. #539C4×C43semidirect
919. C43#34417direct (N × H)
937. #126C2×C4×C43semidirect
938. #126C2×C4×C43semidirect
939. #125C2×C4×C43semidirect
940. #125C2×C4×C43semidirect
941. #123C2×C4×C43semidirect
942. #123C2×C4×C43semidirect
943. #123C2×C4×C43semidirect
944. #123C2×C4×C43semidirect
945. C22⋊Q8C2×C4×C43semidirect
946. C22⋊Q8C2×C4×C43semidirect
947. C22⋊Q8C2×C4×C43semidirect
955. C4×D4C2×C4×C43semidirect
956. C4×D4C2×C4×C43semidirect
962. C2×C4⋊C4C2×C4×C43semidirect

Maximal subgroups

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

subgroupindex
C2×C43×#5392
C43×#23832
C43×#23822
C43×#23782
C43×#23762
C43×#23732
C43×#23702
C43×#23682
C43×#23642
C43×#23612
C43×#23602
C43×#23592
C43×#23532
C43×#23522
C43×#23492
D4×C4⋊C4×C432
C43×#23362
C43×#23352
C43×#23342
C43×#23302
C43×#23292
C43×#23232
C43×#23222
C43×#23132
C4×#123×C432
C2×C43×#3892
#3441743