Finite Group Databasebeta

← C43×#34315 #24954332

Subgroups — C43×#34315 #24954332

Order 11008.

2396 conjugacy classes of subgroups.

The subgroup lattice has 1522 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C43×#551C211yesmaximal, characteristic
2C43×#2374C211yesmaximal, characteristic, complemented
3C43×#2374C211yesmaximal, characteristic, complemented
4C43×#2373C211yesmaximal, characteristic, complemented
5C43×#2373C211yesmaximal, characteristic, complemented
6C43×#2368C211yesmaximal, characteristic, complemented
7C43×#2367C211yesmaximal, characteristic, complemented
8C43×#2362C211yesmaximal, characteristic, complemented
9C43×#2359C211yesmaximal, characteristic, complemented
10C43×#2358C211yesmaximal, characteristic
11C43×#2357C211yesmaximal, characteristic, complemented
12C43×#2353C211yesmaximal, characteristic, complemented
13C43×#2347C211yesmaximal, characteristic, complemented
14C43×#2343C211yesmaximal, characteristic, complemented
15C43×#2342C211yesmaximal, characteristic, complemented
16C43×#2342C211yesmaximal, characteristic, complemented
17C43×#2337C211yesmaximal, characteristic, complemented
18C43×#2335C211yesmaximal, characteristic, complemented
19C43×#2334C211yesmaximal, characteristic, complemented
20C43×#2332C211yesmaximal, characteristic, complemented
21C43×#2322C211yesmaximal, characteristic, complemented
22C43×#2321C211yesmaximal, characteristic
23C4×#126×C43C211yesmaximal, characteristic, complemented
24C4×C22⋊Q8×C43C211yesmaximal, characteristic, complemented
25C4×#123×C43C211yesmaximal, characteristic, complemented
26C43×#2298C211yesmaximal, characteristic, complemented
27C43×#2290C211yesmaximal, characteristic, complemented
28C2×C43×#388C211yesmaximal, characteristic, complemented
29C43×#2274C211yesmaximal, characteristic, complemented
30C43×#2273C211yesmaximal, characteristic, complemented
31C42×D4×C43C211yesmaximal, characteristic, complemented
32C43×#551C4116yescomplemented
33C2×#126×C43C2211yescharacteristic
34C2×#126×C43C2211yescharacteristic
35C2×#124×C43C2211yescharacteristic
36C2×#123×C43C2211yescharacteristic
37C2×#123×C43C2211yescharacteristic
38C2×#123×C43C2211yescharacteristic
39C2×C22⋊Q8×C43C2211yescharacteristic
40C2×C22⋊Q8×C43C2211yescharacteristic
41C2×#120×C43C2211yescharacteristic
42C2×C4×Q8×C43C2211yescharacteristic, complemented
43C2×C4×D4×C43C2211yescharacteristic
44C2×C4×D4×C43C2211yescharacteristic
45C2×C4×D4×C43C2211yescharacteristic
46C2×C4×D4×C43C2211yescharacteristic
47C2×C4×D4×C43C2211yescharacteristic
48C2×#117×C43C2211yescharacteristic
49C2×#117×C43C2211yescharacteristic
50C2×#117×C43C2211yescharacteristic
51C2×#117×C43C2211yescharacteristic
52C22×C4⋊C4×C43C2211yescharacteristic
53C22×C22⋊C4×C43C2211yescharacteristic
54C22×C22⋊C4×C43C2211yescharacteristic
55C22×C22⋊C4×C43C2211yescharacteristic
56C22×C22⋊C4×C43C2211yescharacteristic
57C22×C22⋊C4×C43C2211yescharacteristic
58C22×C42×C43C2211yescharacteristic
59C22×C42×C43C2211yescharacteristic, complemented
60C43×#391C2211yescharacteristic, complemented
61C43×#391C2211yescharacteristic, complemented
62C43×#391C2211yescharacteristic, complemented
63C43×#390C2211yescharacteristic
64C43×#390C2211yescharacteristic
65C43×#390C2211yescharacteristic
66C43×#389C2211yescharacteristic, complemented
67C43×#389C2211yescharacteristic, complemented
68C43×#389C2211yescharacteristic, complemented
69C43×#389C2211yescharacteristic, complemented
70C43×#388C2211yescharacteristic
71C43×#388C2211yescharacteristic
72C43×#388C2211yescharacteristic
73C43×#388C2211yescharacteristic
74C43×#388C2211yescharacteristic
75C43×#388C2211yescharacteristic
76C43×#388C2211yescharacteristic
77C43×#388C2211yescharacteristic
78C43×#388C2211yescharacteristic
79C43×#388C2211yescharacteristic
80C43×#388C2211yescharacteristic
81C43×#388C2211yescharacteristic
82C43×#388C2211yescharacteristic
83C43×#388C2211yescharacteristic
84C43×#388C2211yescharacteristic
85C43×#388C2211yescharacteristic
86C43×#388C2211yescharacteristic
87C43×#388C2211yescharacteristic
88C43×#388C2211yescharacteristic
89C43×#388C2211yescharacteristic
90C43×#388C2211yescharacteristic
91C43×#388C2211yescharacteristic
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×#386C2211yescharacteristic
115C43×#386C2211yescharacteristic
116C43×#386C2211yescharacteristic
117C43×#386C2211yescharacteristic
118C43×#386C2211yescharacteristic
119C43×#386C2211yescharacteristic
120C43×#385C2211yescharacteristic
121C43×#385C2211yescharacteristic
122C43×#385C2211yescharacteristic
123C43×#385C2211yescharacteristic
124C43×#385C2211yescharacteristic
125C43×#385C2211yescharacteristic
126C43×#385C2211yescharacteristic
127C43×#385C2211yescharacteristic, complemented
128C43×#385C2211yescharacteristic, complemented
129C43×#385C2211yescharacteristic, complemented
130C43×#383C2211yescharacteristic, complemented
131C43×#383C2211yescharacteristic, complemented
132C43×#382C2211yescharacteristic, complemented
133C43×#381C2211yescharacteristic
134C43×#381C2211yescharacteristic
135C43×#381C2211yescharacteristic, complemented
136C43×#380C2211yescharacteristic
137C43×#380C2211yescharacteristic
138C43×#379C2211yescharacteristic
139C4×C4⋊C4×C43C2211yescharacteristic, complemented
140C4×C4⋊C4×C43C2211yescharacteristic, complemented
141C4×C4⋊C4×C43C2211yescharacteristic, complemented
142C4×C4⋊C4×C43C2211yescharacteristic, complemented
143C4×C4⋊C4×C43C2211yescharacteristic, complemented
144C4×C4⋊C4×C43C2211yescharacteristic, complemented
145C4×C4⋊C4×C43C2211yescharacteristic, complemented
146C4×C4⋊C4×C43C2211yescharacteristic, complemented
147C4×C4⋊C4×C43C2211yescharacteristic, complemented
148C4×C4⋊C4×C43C2211yescharacteristic, complemented
149C4×C4⋊C4×C43C2211yescharacteristic, complemented
150C4×C4⋊C4×C43C2211yescharacteristic, complemented
151C4×C4⋊C4×C43C2211yescharacteristic, complemented
152C4×C4⋊C4×C43C2211yescharacteristic, complemented
153C4×C4⋊C4×C43C2211yescharacteristic, complemented
154C4×C4⋊C4×C43C2211yescharacteristic, complemented
155C4×C4⋊C4×C43C2211yescharacteristic, complemented
156C4×C4⋊C4×C43C2211yescharacteristic, complemented
157C4×C22⋊C4×C43C2211yescharacteristic
158C4×C22⋊C4×C43C2211yescharacteristic
159C4×C22⋊C4×C43C2211yescharacteristic
160C4×C22⋊C4×C43C2211yescharacteristic
161C4×C22⋊C4×C43C2211yescharacteristic
162C4×C22⋊C4×C43C2211yescharacteristic
163C4×C22⋊C4×C43C2211yescharacteristic
164C4×C22⋊C4×C43C2211yescharacteristic
165C4×C22⋊C4×C43C2211yescharacteristic
166C4×C22⋊C4×C43C2211yescharacteristic
167C4×C22⋊C4×C43C2211yescharacteristic
168C4×C22⋊C4×C43C2211yescharacteristic
169C4×C22⋊C4×C43C2211yescharacteristic
170C4×C22⋊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, complemented
179C4×C22⋊C4×C43C2211yescharacteristic, complemented
180C4×C22⋊C4×C43C2211yescharacteristic, complemented
181C4×C22⋊C4×C43C2211yescharacteristic, complemented
182C4×C22⋊C4×C43C2211yescharacteristic, complemented
183C43×#376C2211yescharacteristic, complemented
184C43×#376C2211yescharacteristic, complemented
185C2×#95×C43C2211yescharacteristic
186C2×#95×C43C2211yescharacteristic
187C43×C43C2211yescharacteristic, complemented
188C25×C43C2311yescharacteristic
189C22×Q8×C43C2311yescharacteristic
190C22×D4×C43C2311yescharacteristic
191C22×D4×C43C2311yescharacteristic
192C22×D4×C43C2311yescharacteristic
193C23×C4×C43C2311yescharacteristic
194C23×C4×C43C2311yescharacteristic
195C23×C4×C43C2311yescharacteristic
196C23×C4×C43C2311yescharacteristic
197C23×C4×C43C2311yescharacteristic
198C23×C4×C43C2311yescharacteristic
199C23×C4×C43C2311yescharacteristic
200C23×C4×C43C2311yescharacteristic
201C23×C4×C43C2311yescharacteristic
202C23×C4×C43C2311yescharacteristic
203C23×C4×C43C2311yescharacteristic
204C23×C4×C43C2311yescharacteristic
205C23×C4×C43C2311yescharacteristic
206#126×C43C2×C418yescomplemented
207#126×C43C2×C418yescomplemented
208#124×C43C2×C418yescomplemented
209#123×C43C2×C418yescomplemented
210#123×C43C2×C418yescomplemented
211#123×C43C2×C418yescomplemented
212C22⋊Q8×C43C2×C418yescomplemented
213C22⋊Q8×C43C2×C418yescomplemented
214#120×C43C2×C418yes—
215C4×Q8×C43—42no—
216C4×D4×C43—24no—
217C4×D4×C43—24no—
218C4×D4×C43—42no—
219C4×D4×C43C2×C418yescomplemented
220C4×D4×C43C2×C418yescomplemented
221#117×C43—24no—
222#117×C43—42no—
223#117×C43C2×C418yescomplemented
224#117×C43C2×C418yescomplemented
225C2×C4⋊C4×C43—24no—
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×C22⋊C4×C43—24no—
253C2×C22⋊C4×C43—24no—
254C2×C22⋊C4×C43—42no—
255C2×C22⋊C4×C43C2×C418yescomplemented
256C2×C22⋊C4×C43C2×C418yescomplemented
257C2×C22⋊C4×C43C2311yescharacteristic
258C2×C22⋊C4×C43C2311yescharacteristic
259C2×C22⋊C4×C43C2311yescharacteristic
260C2×C22⋊C4×C43C2311yescharacteristic
261C2×C22⋊C4×C43C2311yescharacteristic
262C2×C22⋊C4×C43C2311yescharacteristic
263C2×C22⋊C4×C43C2311yescharacteristic
264C2×C22⋊C4×C43C2311yescharacteristic
265C2×C22⋊C4×C43C2311yescharacteristic
266C2×C22⋊C4×C43C2311yescharacteristic
267C2×C22⋊C4×C43C2311yescharacteristic
268C2×C22⋊C4×C43C2311yescharacteristic
269C2×C22⋊C4×C43C2311yescharacteristic
270C2×C22⋊C4×C43C2311yescharacteristic
271C2×C22⋊C4×C43C2311yescharacteristic
272C2×C22⋊C4×C43C2311yescharacteristic
273C2×C22⋊C4×C43C2311yescharacteristic
274C2×C22⋊C4×C43C2311yescharacteristic
275C2×C22⋊C4×C43C2311yescharacteristic
276C2×C22⋊C4×C43C2311yescharacteristic
277C2×C22⋊C4×C43C2311yescharacteristic
278C2×C22⋊C4×C43C2311yescharacteristic
279C2×C22⋊C4×C43C2311yescharacteristic
280C2×C22⋊C4×C43C2311yescharacteristic
281C2×C22⋊C4×C43C2311yescharacteristic
282C2×C22⋊C4×C43C2311yescharacteristic
283C2×C22⋊C4×C43C2311yescharacteristic
284C2×C22⋊C4×C43C2311yescharacteristic
285C2×C22⋊C4×C43C2311yescharacteristic
286C2×C22⋊C4×C43C2311yescharacteristic
287C2×C22⋊C4×C43C2311yescharacteristic
288C2×C22⋊C4×C43C2311yescharacteristic
289C2×C22⋊C4×C43C2311yescharacteristic
290C2×C22⋊C4×C43C2311yescharacteristic
291C2×C22⋊C4×C43C2311yescharacteristic
292C2×C22⋊C4×C43C2311yescharacteristic
293C2×C22⋊C4×C43C2311yescharacteristic
294C2×C22⋊C4×C43C2311yescharacteristic
295C2×C42×C43—42no—
296C2×C42×C43—42no—
297C2×C42×C43C2311yescharacteristic
298C2×C42×C43C2311yescharacteristic
299C2×C42×C43C2311yescharacteristic
300C2×C42×C43C2311yescharacteristic
301C2×C42×C43C2311yescharacteristic
302C2×C42×C43C2311yescharacteristic
303C2×C42×C43C2311yescharacteristic
304C2×C42×C43C2311yescharacteristic
305C2×C42×C43C2311yescharacteristic
306C2×C42×C43C2311yescharacteristic
307C2×C42×C43C2311yescharacteristic
308C2×C42×C43C2311yescharacteristic
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
322C2×C42×C43C2311yescharacteristic
323C2×C42×C43C2311yescharacteristic
324C2×C42×C43C2311yescharacteristic
325C2×C42×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×C43—22no—
371C24×C43—22no—
372C24×C43—41no—
373C24×C43—41no—
374C24×C43—41no—
375C24×C43—41no—
376C24×C43C22×C414yes—
377C24×C43C2411yescharacteristic
378C24×C43C2411yescharacteristic
379C24×C43C2411yescharacteristic
380C24×C43C2411yescharacteristic
381C2×Q8×C43—41no—
382C2×Q8×C43—41no—
383C2×Q8×C43C22×C414yes—
384C2×D4×C43—22no—
385C2×D4×C43—22no—
386C2×D4×C43—41no—
387C2×D4×C43—41no—
388C2×D4×C43—41no—
389C2×D4×C43—41no—
390C2×D4×C43C22×C414yes—
391C2×D4×C43C22×C414yes—
392C2×D4×C43C22×C414yes—
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—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×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×C43C22×C414yes—
427C22×C4×C43C22×C414yes—
428C22×C4×C43C22×C414yes—
429C22×C4×C43C22×C414yes—
430C22×C4×C43C22×C414yes—
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—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×C43C22×C414yes—
478C4⋊C4×C43C22×C414yes—
479C4⋊C4×C43C22×C414yes—
480C4⋊C4×C43C22×C414yes—
481C4⋊C4×C43C22×C414yes—
482C4⋊C4×C43C22×C414yes—
483C4⋊C4×C43C22×C414yes—
484C4⋊C4×C43C22×C414yes—
485C22⋊C4×C43—22no—
486C22⋊C4×C43—22no—
487C22⋊C4×C43—22no—
488C22⋊C4×C43—22no—
489C22⋊C4×C43—22no—
490C22⋊C4×C43—22no—
491C22⋊C4×C43—22no—
492C22⋊C4×C43—22no—
493C22⋊C4×C43—22no—
494C22⋊C4×C43—22no—
495C22⋊C4×C43—22no—
496C22⋊C4×C43—22no—
497C22⋊C4×C43—22no—
498C22⋊C4×C43—41no—
499C22⋊C4×C43—41no—
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×C43C22×C414yes—
509C22⋊C4×C43C22×C414yes—
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—
520C22⋊C4×C43C22×C414yes—
521C22⋊C4×C43C22×C414yes—
522C22⋊C4×C43#4114yes—
523C42×C43—22no—
524C42×C43—22no—
525C42×C43—22no—
526C42×C43—22no—
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—
538C42×C43—41no—
539C42×C43—41no—
540C42×C43—41no—
541C42×C43—41no—
542C42×C43—41no—
543C42×C43—41no—
544C42×C43—41no—
545C42×C43—41no—
546C42×C43—41no—
547C42×C43—41no—
548C42×C43—41no—
549C42×C43C22×C414yes—
550C42×C43C22×C414yes—
551C42×C43C22×C414yes—
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—21no—
562C23×C43—21no—
563C23×C43—21no—
564C23×C43—21no—
565C23×C43—21no—
566C23×C43—21no—
567C23×C43—21no—
568C23×C43—21no—
569C23×C43—21no—
570C23×C43—21no—
571C23×C43—21no—
572C23×C43—21no—
573C23×C43—21no—
574C23×C43—28no—
575C23×C43—44no—
576C23×C43—44no—
577C23×C43—82no—
578C23×C43—82no—
579C23×C43—82no—
580C23×C43—82no—
581C23×C43C23×C412yes—
582C23×C43C23×C412yes—
583C23×C43C23×C412yes—
584C23×C43C23×C412yes—
585C23×C43C2×#4112yes—
586C23×C43C2×#4112yes—
587C23×C43C2511yescharacteristic
588Q8×C43—44no—
589D4×C43—28no—
590D4×C43—44no—
591D4×C43—44no—
592C2×C4×C43—28no—
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—21no—
656C2×C4×C43—21no—
657C2×C4×C43—21no—
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×C43—82no—
670C2×C4×C43C23×C412yes—
671C2×C4×C43C23×C412yes—
672C2×C4×C43C23×C412yes—
673C2×C4×C43C23×C412yes—
674C2×C4×C43C23×C412yes—
675C2×C4×C43C23×C412yes—
676C2×C4×C43C23×C412yes—
677C2×C4×C43C23×C412yes—
678C2×C4×C43C23×C412yes—
679C2×C4×C43C23×C412yes—
680C2×C4×C43C23×C412yes—
681C2×C4×C43C2×#4112yes—
682C2×C4×C43C2×#4112yes—
683C2×C4×C43C2×#4112yes—
684C2×C4×C43C2×#4112yes—
685C2×C4×C43H(5,𝔽2)12yes—
686#34315C4311yesmaximal, characteristic, direct product factor, Sylow
687C22×C43—22no—
688C22×C43—22no—
689C22×C43—22no—
690C22×C43—22no—
691C22×C43—22no—
692C22×C43—22no—
693C22×C43—22no—
694C22×C43—22no—
695C22×C43—22no—
696C22×C43—22no—
697C22×C43—22no—
698C22×C43—22no—
699C22×C43—22no—
700C22×C43—22no—
701C22×C43—22no—
702C22×C43—41no—
703C22×C43—41no—
704C22×C43—41no—
705C22×C43—41no—
706C22×C43—41no—
707C22×C43—41no—
708C22×C43—41no—
709C22×C43—41no—
710C22×C43—41no—
711C22×C43—41no—
712C22×C43—41no—
713C22×C43—41no—
714C22×C43—88no—
715C22×C43C4×#4114yes—
716C22×C43C24×C411yescharacteristic
717C22×C43C22×#4111yescharacteristic
718C22×C43C22×#4111yescharacteristic
719C22×C43C2×H(5,𝔽2)11yescharacteristic
720C22×C43#58511yescharacteristic
721C22×C43#58511yescharacteristic
722C22×C43#58511yescharacteristic
723C4×C43—22no—
724C4×C43—22no—
725C4×C43—22no—
726C4×C43—22no—
727C4×C43—22no—
728C4×C43—22no—
729C4×C43—22no—
730C4×C43—22no—
731C4×C43—22no—
732C4×C43—22no—
733C4×C43—22no—
734C4×C43—22no—
735C4×C43—22no—
736C4×C43—22no—
737C4×C43—22no—
738C4×C43—22no—
739C4×C43—41no—
740C4×C43—41no—
741C4×C43—41no—
742C4×C43—41no—
743C4×C43—41no—
744C4×C43—41no—
745C4×C43—41no—
746C4×C43—41no—
747C4×C43—41no—
748C4×C43—41no—
749C4×C43—41no—
750C2×#551C2×C4311yescharacteristic
751#2374C2×C4311yescharacteristic, complemented
752#2374C2×C4311yescharacteristic, complemented
753#2373C2×C4311yescharacteristic, complemented
754#2373C2×C4311yescharacteristic, complemented
755#2368C2×C4311yescharacteristic, complemented
756#2367C2×C4311yescharacteristic, complemented
757#2362C2×C4311yescharacteristic, complemented
758#2359C2×C4311yescharacteristic, complemented
759#2358C2×C4311yescharacteristic
760#2357C2×C4311yescharacteristic, complemented
761#2353C2×C4311yescharacteristic, complemented
762#2347C2×C4311yescharacteristic, complemented
763#2343C2×C4311yescharacteristic, complemented
764#2342C2×C4311yescharacteristic, complemented
765#2342C2×C4311yescharacteristic, complemented
766#2337C2×C4311yescharacteristic, complemented
767#2335C2×C4311yescharacteristic, complemented
768#2334C2×C4311yescharacteristic, complemented
769#2332C2×C4311yescharacteristic, complemented
770#2322C2×C4311yescharacteristic, complemented
771#2321C2×C4311yescharacteristic
772C4×#126C2×C4311yescharacteristic, complemented
773C4×C22⋊Q8C2×C4311yescharacteristic, complemented
774C4×#123C2×C4311yescharacteristic, complemented
775#2298C2×C4311yescharacteristic, complemented
776#2290C2×C4311yescharacteristic, complemented
777C2×#388C2×C4311yescharacteristic, complemented
778#2274C2×C4311yescharacteristic, complemented
779#2273C2×C4311yescharacteristic, complemented
780C42×D4C2×C4311yescharacteristic, complemented
781C2×C43—24no—
782C2×C43—42no—
783C2×C43—42no—
784C2×C43—42no—
785C2×C43C2×C4×#4111yescharacteristic
786C2×C43#342811yescharacteristic
787C2×C43C4×H(5,𝔽2)11yescharacteristic
788C2×C43#350511yescharacteristic
789C2×C43#351011yescharacteristic
790C2×C43#351311yescharacteristic
791C2×C43#352111yescharacteristic
792#551C4×C43116yescomplemented
793C2×#126C22×C4311yescharacteristic
794C2×#126C22×C4311yescharacteristic
795C2×#124C22×C4311yescharacteristic
796C2×#123C22×C4311yescharacteristic
797C2×#123C22×C4311yescharacteristic
798C2×#123C22×C4311yescharacteristic
799C2×C22⋊Q8C22×C4311yescharacteristic
800C2×C22⋊Q8C22×C4311yescharacteristic
801C2×#120C22×C4311yescharacteristic
802C2×C4×Q8C22×C4311yescharacteristic, complemented
803C2×C4×D4C22×C4311yescharacteristic
804C2×C4×D4C22×C4311yescharacteristic
805C2×C4×D4C22×C4311yescharacteristic
806C2×C4×D4C22×C4311yescharacteristic
807C2×C4×D4C22×C4311yescharacteristic
808C2×#117C22×C4311yescharacteristic
809C2×#117C22×C4311yescharacteristic
810C2×#117C22×C4311yescharacteristic
811C2×#117C22×C4311yescharacteristic
812C22×C4⋊C4C22×C4311yescharacteristic
813C22×C22⋊C4C22×C4311yescharacteristic
814C22×C22⋊C4C22×C4311yescharacteristic
815C22×C22⋊C4C22×C4311yescharacteristic
816C22×C22⋊C4C22×C4311yescharacteristic
817C22×C22⋊C4C22×C4311yescharacteristic
818C22×C42C22×C4311yescharacteristic
819C22×C42C22×C4311yescharacteristic, complemented
820#391C22×C4311yescharacteristic, complemented
821#391C22×C4311yescharacteristic, complemented
822#391C22×C4311yescharacteristic, complemented
823#390C22×C4311yescharacteristic
824#390C22×C4311yescharacteristic
825#390C22×C4311yescharacteristic
826#389C22×C4311yescharacteristic, complemented
827#389C22×C4311yescharacteristic, complemented
828#389C22×C4311yescharacteristic, complemented
829#389C22×C4311yescharacteristic, complemented
830#388C22×C4311yescharacteristic
831#388C22×C4311yescharacteristic
832#388C22×C4311yescharacteristic
833#388C22×C4311yescharacteristic
834#388C22×C4311yescharacteristic
835#388C22×C4311yescharacteristic
836#388C22×C4311yescharacteristic
837#388C22×C4311yescharacteristic
838#388C22×C4311yescharacteristic
839#388C22×C4311yescharacteristic
840#388C22×C4311yescharacteristic
841#388C22×C4311yescharacteristic
842#388C22×C4311yescharacteristic
843#388C22×C4311yescharacteristic
844#388C22×C4311yescharacteristic
845#388C22×C4311yescharacteristic
846#388C22×C4311yescharacteristic
847#388C22×C4311yescharacteristic
848#388C22×C4311yescharacteristic
849#388C22×C4311yescharacteristic
850#388C22×C4311yescharacteristic
851#388C22×C4311yescharacteristic
852#388C22×C4311yescharacteristic, complemented
853#388C22×C4311yescharacteristic, complemented
854#388C22×C4311yescharacteristic, complemented
855#388C22×C4311yescharacteristic, complemented
856#388C22×C4311yescharacteristic, complemented
857#388C22×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#387C22×C4311yescharacteristic, complemented
870#387C22×C4311yescharacteristic, complemented
871#387C22×C4311yescharacteristic, complemented
872#387C22×C4311yescharacteristic, complemented
873#387C22×C4311yescharacteristic, complemented
874#386C22×C4311yescharacteristic
875#386C22×C4311yescharacteristic
876#386C22×C4311yescharacteristic
877#386C22×C4311yescharacteristic
878#386C22×C4311yescharacteristic
879#386C22×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, complemented
888#385C22×C4311yescharacteristic, complemented
889#385C22×C4311yescharacteristic, complemented
890#383C22×C4311yescharacteristic, complemented
891#383C22×C4311yescharacteristic, complemented
892#382C22×C4311yescharacteristic, complemented
893#381C22×C4311yescharacteristic
894#381C22×C4311yescharacteristic
895#381C22×C4311yescharacteristic, complemented
896#380C22×C4311yescharacteristic
897#380C22×C4311yescharacteristic
898#379C22×C4311yescharacteristic
899C4×C4⋊C4C22×C4311yescharacteristic, complemented
900C4×C4⋊C4C22×C4311yescharacteristic, complemented
901C4×C4⋊C4C22×C4311yescharacteristic, complemented
902C4×C4⋊C4C22×C4311yescharacteristic, complemented
903C4×C4⋊C4C22×C4311yescharacteristic, complemented
904C4×C4⋊C4C22×C4311yescharacteristic, complemented
905C4×C4⋊C4C22×C4311yescharacteristic, complemented
906C4×C4⋊C4C22×C4311yescharacteristic, complemented
907C4×C4⋊C4C22×C4311yescharacteristic, complemented
908C4×C4⋊C4C22×C4311yescharacteristic, complemented
909C4×C4⋊C4C22×C4311yescharacteristic, complemented
910C4×C4⋊C4C22×C4311yescharacteristic, complemented
911C4×C4⋊C4C22×C4311yescharacteristic, complemented
912C4×C4⋊C4C22×C4311yescharacteristic, complemented
913C4×C4⋊C4C22×C4311yescharacteristic, complemented
914C4×C4⋊C4C22×C4311yescharacteristic, complemented
915C4×C4⋊C4C22×C4311yescharacteristic, complemented
916C4×C4⋊C4C22×C4311yescharacteristic, complemented
917C4×C22⋊C4C22×C4311yescharacteristic
918C4×C22⋊C4C22×C4311yescharacteristic
919C4×C22⋊C4C22×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
931C4×C22⋊C4C22×C4311yescharacteristic
932C4×C22⋊C4C22×C4311yescharacteristic
933C4×C22⋊C4C22×C4311yescharacteristic
934C4×C22⋊C4C22×C4311yescharacteristic
935C4×C22⋊C4C22×C4311yescharacteristic
936C4×C22⋊C4C22×C4311yescharacteristic
937C4×C22⋊C4C22×C4311yescharacteristic
938C4×C22⋊C4C22×C4311yescharacteristic, complemented
939C4×C22⋊C4C22×C4311yescharacteristic, complemented
940C4×C22⋊C4C22×C4311yescharacteristic, complemented
941C4×C22⋊C4C22×C4311yescharacteristic, complemented
942C4×C22⋊C4C22×C4311yescharacteristic, complemented
943#376C22×C4311yescharacteristic, complemented
944#376C22×C4311yescharacteristic, complemented
945C2×#95C22×C4311yescharacteristic
946C2×#95C22×C4311yescharacteristic
947C43C22×C4311yescharacteristic, complemented
948C43#3431511yescharacteristic, direct product factor, Sylow
949C25C23×C4311yescharacteristic
950C22×Q8C23×C4311yescharacteristic
951C22×D4C23×C4311yescharacteristic
952C22×D4C23×C4311yescharacteristic
953C22×D4C23×C4311yescharacteristic
954C23×C4C23×C4311yescharacteristic
955C23×C4C23×C4311yescharacteristic
956C23×C4C23×C4311yescharacteristic
957C23×C4C23×C4311yescharacteristic
958C23×C4C23×C4311yescharacteristic
959C23×C4C23×C4311yescharacteristic
960C23×C4C23×C4311yescharacteristic
961C23×C4C23×C4311yescharacteristic
962C23×C4C23×C4311yescharacteristic
963C23×C4C23×C4311yescharacteristic
964C23×C4C23×C4311yescharacteristic
965C23×C4C23×C4311yescharacteristic
966C23×C4C23×C4311yescharacteristic
967#126C2×C4×C4318yescomplemented
968#126C2×C4×C4318yescomplemented
969#124C2×C4×C4318yescomplemented
970#123C2×C4×C4318yescomplemented
971#123C2×C4×C4318yescomplemented
972#123C2×C4×C4318yescomplemented
973C22⋊Q8C2×C4×C4318yescomplemented
974C22⋊Q8C2×C4×C4318yescomplemented
975#120C2×C4×C4318yes—
976C4×Q8—42no—
977C4×D4—24no—
978C4×D4—24no—
979C4×D4—42no—
980C4×D4C2×C4×C4318yescomplemented
981C4×D4C2×C4×C4318yescomplemented
982#117—24no—
983#117—42no—
984#117C2×C4×C4318yescomplemented
985#117C2×C4×C4318yescomplemented
986C2×C4⋊C4—24no—
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×C4⋊C4C23×C4311yescharacteristic
1006C2×C4⋊C4C23×C4311yescharacteristic
1007C2×C4⋊C4C23×C4311yescharacteristic
1008C2×C4⋊C4C23×C4311yescharacteristic
1009C2×C4⋊C4C23×C4311yescharacteristic
1010C2×C4⋊C4C23×C4311yescharacteristic
1011C2×C4⋊C4C23×C4311yescharacteristic
1012C2×C4⋊C4C23×C4311yescharacteristic
1013C2×C22⋊C4—24no—
1014C2×C22⋊C4—24no—
1015C2×C22⋊C4—42no—
1016C2×C22⋊C4C2×C4×C4318yescomplemented
1017C2×C22⋊C4C2×C4×C4318yescomplemented
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×C22⋊C4C23×C4311yescharacteristic
1044C2×C22⋊C4C23×C4311yescharacteristic
1045C2×C22⋊C4C23×C4311yescharacteristic
1046C2×C22⋊C4C23×C4311yescharacteristic
1047C2×C22⋊C4C23×C4311yescharacteristic
1048C2×C22⋊C4C23×C4311yescharacteristic
1049C2×C22⋊C4C23×C4311yescharacteristic
1050C2×C22⋊C4C23×C4311yescharacteristic
1051C2×C22⋊C4C23×C4311yescharacteristic
1052C2×C22⋊C4C23×C4311yescharacteristic
1053C2×C22⋊C4C23×C4311yescharacteristic
1054C2×C22⋊C4C23×C4311yescharacteristic
1055C2×C22⋊C4C23×C4311yescharacteristic
1056C2×C42—42no—
1057C2×C42—42no—
1058C2×C42C23×C4311yescharacteristic
1059C2×C42C23×C4311yescharacteristic
1060C2×C42C23×C4311yescharacteristic
1061C2×C42C23×C4311yescharacteristic
1062C2×C42C23×C4311yescharacteristic
1063C2×C42C23×C4311yescharacteristic
1064C2×C42C23×C4311yescharacteristic
1065C2×C42C23×C4311yescharacteristic
1066C2×C42C23×C4311yescharacteristic
1067C2×C42C23×C4311yescharacteristic
1068C2×C42C23×C4311yescharacteristic
1069C2×C42C23×C4311yescharacteristic
1070C2×C42C23×C4311yescharacteristic
1071C2×C42C23×C4311yescharacteristic
1072C2×C42C23×C4311yescharacteristic
1073C2×C42C23×C4311yescharacteristic
1074C2×C42C23×C4311yescharacteristic
1075C2×C42C23×C4311yescharacteristic
1076C2×C42C23×C4311yescharacteristic
1077C2×C42C23×C4311yescharacteristic
1078C2×C42C23×C4311yescharacteristic
1079C2×C42C23×C4311yescharacteristic
1080C2×C42C23×C4311yescharacteristic
1081C2×C42C23×C4311yescharacteristic
1082C2×C42C23×C4311yescharacteristic
1083C2×C42C23×C4311yescharacteristic
1084C2×C42C23×C4311yescharacteristic
1085C2×C42C23×C4311yescharacteristic
1086C2×C42C23×C4311yescharacteristic
1087#95C23×C4311yescharacteristic
1088#95C23×C4311yescharacteristic
1089#95C23×C4311yescharacteristic
1090#95C23×C4311yescharacteristic
1091#95C23×C4311yescharacteristic
1092#95C23×C4311yescharacteristic
1093#95C23×C4311yescharacteristic
1094#95C23×C4311yescharacteristic
1095#95C23×C4311yescharacteristic
1096#95C23×C4311yescharacteristic
1097#95C23×C4311yescharacteristic
1098#95C23×C4311yescharacteristic
1099#95C23×C4311yescharacteristic
1100#95C23×C4311yescharacteristic
1101#95C23×C4311yescharacteristic
1102#95C23×C4311yescharacteristic
1103#95C23×C4311yescharacteristic
1104#95C23×C4311yescharacteristic
1105#95C23×C4311yescharacteristic
1106#95C23×C4311yescharacteristic
1107#95C23×C4311yescharacteristic
1108#95C23×C4311yescharacteristic
1109#95C23×C4311yescharacteristic
1110#95C23×C4311yescharacteristic
1111#95C23×C4311yescharacteristic
1112#95C23×C4311yescharacteristic
1113#95C23×C4311yescharacteristic
1114#95C23×C4311yescharacteristic
1115#95C23×C4311yescharacteristic
1116#95C23×C4311yescharacteristic
1117#95C23×C4311yescharacteristic
1118#95C23×C4311yescharacteristic
1119#95C23×C4311yescharacteristic
1120#95C23×C4311yescharacteristic
1121#95C23×C4311yescharacteristic
1122#95C23×C4311yescharacteristic
1123#95C23×C4311yescharacteristic
1124#95C23×C4311yescharacteristic
1125#95C23×C4311yescharacteristic
1126#95C23×C4311yescharacteristic
1127#95C23×C4311yescharacteristic
1128#95C23×C4311yescharacteristic
1129#95C23×C4311yescharacteristic
1130#95C23×C4311yescharacteristic
1131C24—22no—
1132C24—22no—
1133C24—41no—
1134C24—41no—
1135C24—41no—
1136C24—41no—
1137C24C22×C4×C4314yes—
1138C24C24×C4311yescharacteristic
1139C24C24×C4311yescharacteristic
1140C24C24×C4311yescharacteristic
1141C24C24×C4311yescharacteristic
1142C2×Q8—41no—
1143C2×Q8—41no—
1144C2×Q8C22×C4×C4314yes—
1145C2×D4—22no—
1146C2×D4—22no—
1147C2×D4—41no—
1148C2×D4—41no—
1149C2×D4—41no—
1150C2×D4—41no—
1151C2×D4C22×C4×C4314yes—
1152C2×D4C22×C4×C4314yes—
1153C2×D4C22×C4×C4314yes—
1154C22×C4—22no—
1155C22×C4—22no—
1156C22×C4—22no—
1157C22×C4—22no—
1158C22×C4—22no—
1159C22×C4—22no—
1160C22×C4—22no—
1161C22×C4—22no—
1162C22×C4—22no—
1163C22×C4—22no—
1164C22×C4—22no—
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—41no—
1180C22×C4—41no—
1181C22×C4—41no—
1182C22×C4—41no—
1183C22×C4—41no—
1184C22×C4—41no—
1185C22×C4—41no—
1186C22×C4—41no—
1187C22×C4C22×C4×C4314yes—
1188C22×C4C22×C4×C4314yes—
1189C22×C4C22×C4×C4314yes—
1190C22×C4C22×C4×C4314yes—
1191C22×C4C22×C4×C4314yes—
1192C22×C4#41×C4314yes—
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
1208C22×C4C24×C4311yescharacteristic
1209C22×C4C24×C4311yescharacteristic
1210C22×C4C24×C4311yescharacteristic
1211C22×C4C24×C4311yescharacteristic
1212C22×C4C24×C4311yescharacteristic
1213C22×C4C24×C4311yescharacteristic
1214C22×C4C24×C4311yescharacteristic
1215C22×C4C24×C4311yescharacteristic
1216C22×C4C24×C4311yescharacteristic
1217C22×C4C24×C4311yescharacteristic
1218C22×C4C24×C4311yescharacteristic
1219C22×C4C24×C4311yescharacteristic
1220C4⋊C4—22no—
1221C4⋊C4—22no—
1222C4⋊C4—22no—
1223C4⋊C4—22no—
1224C4⋊C4—22no—
1225C4⋊C4—22no—
1226C4⋊C4—22no—
1227C4⋊C4—22no—
1228C4⋊C4—22no—
1229C4⋊C4—22no—
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⋊C4C22×C4×C4314yes—
1239C4⋊C4C22×C4×C4314yes—
1240C4⋊C4C22×C4×C4314yes—
1241C4⋊C4C22×C4×C4314yes—
1242C4⋊C4C22×C4×C4314yes—
1243C4⋊C4C22×C4×C4314yes—
1244C4⋊C4C22×C4×C4314yes—
1245C4⋊C4C22×C4×C4314yes—
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—41no—
1260C22⋊C4—41no—
1261C22⋊C4—41no—
1262C22⋊C4—41no—
1263C22⋊C4—41no—
1264C22⋊C4—41no—
1265C22⋊C4—41no—
1266C22⋊C4—41no—
1267C22⋊C4—41no—
1268C22⋊C4—41no—
1269C22⋊C4C22×C4×C4314yes—
1270C22⋊C4C22×C4×C4314yes—
1271C22⋊C4C22×C4×C4314yes—
1272C22⋊C4C22×C4×C4314yes—
1273C22⋊C4C22×C4×C4314yes—
1274C22⋊C4C22×C4×C4314yes—
1275C22⋊C4C22×C4×C4314yes—
1276C22⋊C4C22×C4×C4314yes—
1277C22⋊C4C22×C4×C4314yes—
1278C22⋊C4C22×C4×C4314yes—
1279C22⋊C4C22×C4×C4314yes—
1280C22⋊C4C22×C4×C4314yes—
1281C22⋊C4C22×C4×C4314yes—
1282C22⋊C4C22×C4×C4314yes—
1283C22⋊C4#41×C4314yes—
1284C42—22no—
1285C42—22no—
1286C42—22no—
1287C42—22no—
1288C42—22no—
1289C42—22no—
1290C42—22no—
1291C42—41no—
1292C42—41no—
1293C42—41no—
1294C42—41no—
1295C42—41no—
1296C42—41no—
1297C42—41no—
1298C42—41no—
1299C42—41no—
1300C42—41no—
1301C42—41no—
1302C42—41no—
1303C42—41no—
1304C42—41no—
1305C42—41no—
1306C42—41no—
1307C42—41no—
1308C42—41no—
1309C42—41no—
1310C42C22×C4×C4314yes—
1311C42C22×C4×C4314yes—
1312C42C22×C4×C4314yes—
1313C23—21no—
1314C23—21no—
1315C23—21no—
1316C23—21no—
1317C23—21no—
1318C23—21no—
1319C23—21no—
1320C23—21no—
1321C23—21no—
1322C23—21no—
1323C23—21no—
1324C23—21no—
1325C23—21no—
1326C23—21no—
1327C23—21no—
1328C23—21no—
1329C23—21no—
1330C23—21no—
1331C23—21no—
1332C23—21no—
1333C23—21no—
1334C23—21no—
1335C23—28no—
1336C23—44no—
1337C23—44no—
1338C23—82no—
1339C23—82no—
1340C23—82no—
1341C23—82no—
1342C23C23×C4×C4312yes—
1343C23C23×C4×C4312yes—
1344C23C23×C4×C4312yes—
1345C23C23×C4×C4312yes—
1346C23C2×#41×C4312yes—
1347C23C2×#41×C4312yes—
1348C23C25×C4311yescharacteristic
1349Q8—44no—
1350D4—28no—
1351D4—44no—
1352D4—44no—
1353C2×C4—28no—
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—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—44no—
1420C2×C4—44no—
1421C2×C4—44no—
1422C2×C4—44no—
1423C2×C4—44no—
1424C2×C4—44no—
1425C2×C4—44no—
1426C2×C4—44no—
1427C2×C4—82no—
1428C2×C4—82no—
1429C2×C4—82no—
1430C2×C4—82no—
1431C2×C4C23×C4×C4312yes—
1432C2×C4C23×C4×C4312yes—
1433C2×C4C23×C4×C4312yes—
1434C2×C4C23×C4×C4312yes—
1435C2×C4C23×C4×C4312yes—
1436C2×C4C23×C4×C4312yes—
1437C2×C4C23×C4×C4312yes—
1438C2×C4C23×C4×C4312yes—
1439C2×C4C23×C4×C4312yes—
1440C2×C4C23×C4×C4312yes—
1441C2×C4C23×C4×C4312yes—
1442C2×C4C2×#41×C4312yes—
1443C2×C4C2×#41×C4312yes—
1444C2×C4C2×#41×C4312yes—
1445C2×C4C2×#41×C4312yes—
1446C2×C4H(5,𝔽2)×C4312yes—
1447C22—22no—
1448C22—22no—
1449C22—22no—
1450C22—22no—
1451C22—22no—
1452C22—22no—
1453C22—22no—
1454C22—22no—
1455C22—22no—
1456C22—22no—
1457C22—22no—
1458C22—22no—
1459C22—22no—
1460C22—22no—
1461C22—22no—
1462C22—41no—
1463C22—41no—
1464C22—41no—
1465C22—41no—
1466C22—41no—
1467C22—41no—
1468C22—41no—
1469C22—41no—
1470C22—41no—
1471C22—41no—
1472C22—41no—
1473C22—41no—
1474C22—88no—
1475C22C4×#41×C4314yes—
1476C22C24×C4×C4311yescharacteristic
1477C22C22×#41×C4311yescharacteristic
1478C22C22×#41×C4311yescharacteristic
1479C22C2×H(5,𝔽2)×C4311yescharacteristic
1480C22C43×#58511yescharacteristic
1481C22C43×#58511yescharacteristic
1482C22C43×#58511yescharacteristic
1483C4—22no—
1484C4—22no—
1485C4—22no—
1486C4—22no—
1487C4—22no—
1488C4—22no—
1489C4—22no—
1490C4—22no—
1491C4—22no—
1492C4—22no—
1493C4—22no—
1494C4—22no—
1495C4—22no—
1496C4—22no—
1497C4—22no—
1498C4—22no—
1499C4—41no—
1500C4—41no—
1501C4—41no—
1502C4—41no—
1503C4—41no—
1504C4—41no—
1505C4—41no—
1506C4—41no—
1507C4—41no—
1508C4—41no—
1509C4—41no—
1510C2—24no—
1511C2—42no—
1512C2—42no—
1513C2—42no—
1514C2C2×C4×#41×C4311yescharacteristic
1515C2C43×#342811yescharacteristic
1516C2C4×H(5,𝔽2)×C4311yescharacteristic
1517C2C43×#350511yescharacteristic
1518C2C43×#351011yescharacteristic
1519C2C43×#351311yescharacteristic
1520C2C43×#352111yescharacteristic
subgroupG/H
center, socleC23×C43C25
commutatorC22C24×C4×C43
Frattini, cosocleC23C25×C43
prime radicalC2×#120×C43C22
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C23×C43 ◁ G

Complements

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

NH ≅ G/Ntype
2. C43×#2374C2semidirect
3. C43×#2374C2semidirect
4. C43×#2373C2semidirect
5. C43×#2373C2semidirect
6. C43×#2368C2semidirect
7. C43×#2367C2semidirect
8. C43×#2362C2semidirect
9. C43×#2359C2semidirect
11. C43×#2357C2semidirect
12. C43×#2353C2semidirect
13. C43×#2347C2semidirect
14. C43×#2343C2semidirect
15. C43×#2342C2semidirect
16. C43×#2342C2semidirect
17. C43×#2337C2semidirect
18. C43×#2335C2semidirect
19. C43×#2334C2semidirect
20. C43×#2332C2semidirect
21. C43×#2322C2semidirect
23. C4×#126×C43C2semidirect
24. C4×C22⋊Q8×C43C2semidirect
25. C4×#123×C43C2semidirect
26. C43×#2298C2semidirect
27. C43×#2290C2semidirect
28. C2×C43×#388C2semidirect
29. C43×#2274C2semidirect
30. C43×#2273C2semidirect
31. C42×D4×C43C2semidirect
32. C43×#551C4semidirect
42. C2×C4×Q8×C43C22semidirect
59. C22×C42×C43C22semidirect
60. C43×#391C22semidirect
61. C43×#391C22semidirect
62. C43×#391C22semidirect
66. C43×#389C22semidirect
67. C43×#389C22semidirect
68. C43×#389C22semidirect
69. C43×#389C22semidirect
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
127. C43×#385C22semidirect
128. C43×#385C22semidirect
129. C43×#385C22semidirect
130. C43×#383C22semidirect
131. C43×#383C22semidirect
132. C43×#382C22semidirect
135. C43×#381C22semidirect
139. C4×C4⋊C4×C43C22semidirect
140. C4×C4⋊C4×C43C22semidirect
141. C4×C4⋊C4×C43C22semidirect
142. C4×C4⋊C4×C43C22semidirect
143. C4×C4⋊C4×C43C22semidirect
144. C4×C4⋊C4×C43C22semidirect
145. C4×C4⋊C4×C43C22semidirect
146. C4×C4⋊C4×C43C22semidirect
147. C4×C4⋊C4×C43C22semidirect
148. C4×C4⋊C4×C43C22semidirect
149. C4×C4⋊C4×C43C22semidirect
150. C4×C4⋊C4×C43C22semidirect
151. C4×C4⋊C4×C43C22semidirect
152. C4×C4⋊C4×C43C22semidirect
153. C4×C4⋊C4×C43C22semidirect
154. C4×C4⋊C4×C43C22semidirect
155. C4×C4⋊C4×C43C22semidirect
156. C4×C4⋊C4×C43C22semidirect
178. C4×C22⋊C4×C43C22semidirect
179. C4×C22⋊C4×C43C22semidirect
180. C4×C22⋊C4×C43C22semidirect
181. C4×C22⋊C4×C43C22semidirect
182. C4×C22⋊C4×C43C22semidirect
183. C43×#376C22semidirect
184. C43×#376C22semidirect
187. C43×C43C22semidirect
206. #126×C43C2×C4semidirect
207. #126×C43C2×C4semidirect
208. #124×C43C2×C4semidirect
209. #123×C43C2×C4semidirect
210. #123×C43C2×C4semidirect
211. #123×C43C2×C4semidirect
212. C22⋊Q8×C43C2×C4semidirect
213. C22⋊Q8×C43C2×C4semidirect
219. C4×D4×C43C2×C4semidirect
220. C4×D4×C43C2×C4semidirect
223. #117×C43C2×C4semidirect
224. #117×C43C2×C4semidirect
255. C2×C22⋊C4×C43C2×C4semidirect
256. C2×C22⋊C4×C43C2×C4semidirect
686. #34315C43direct (N × H)
751. #2374C2×C43semidirect
752. #2374C2×C43semidirect
753. #2373C2×C43semidirect
754. #2373C2×C43semidirect
755. #2368C2×C43semidirect
756. #2367C2×C43semidirect
757. #2362C2×C43semidirect
758. #2359C2×C43semidirect
760. #2357C2×C43semidirect
761. #2353C2×C43semidirect
762. #2347C2×C43semidirect
763. #2343C2×C43semidirect
764. #2342C2×C43semidirect
765. #2342C2×C43semidirect
766. #2337C2×C43semidirect
767. #2335C2×C43semidirect
768. #2334C2×C43semidirect
769. #2332C2×C43semidirect
770. #2322C2×C43semidirect
772. C4×#126C2×C43semidirect
773. C4×C22⋊Q8C2×C43semidirect
774. C4×#123C2×C43semidirect
775. #2298C2×C43semidirect
776. #2290C2×C43semidirect
777. C2×#388C2×C43semidirect
778. #2274C2×C43semidirect
779. #2273C2×C43semidirect
780. C42×D4C2×C43semidirect
792. #551C4×C43semidirect
802. C2×C4×Q8C22×C43semidirect
819. C22×C42C22×C43semidirect
820. #391C22×C43semidirect
821. #391C22×C43semidirect
822. #391C22×C43semidirect
826. #389C22×C43semidirect
827. #389C22×C43semidirect
828. #389C22×C43semidirect
829. #389C22×C43semidirect
852. #388C22×C43semidirect
853. #388C22×C43semidirect
854. #388C22×C43semidirect
855. #388C22×C43semidirect
856. #388C22×C43semidirect
857. #388C22×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
869. #387C22×C43semidirect
870. #387C22×C43semidirect
871. #387C22×C43semidirect
872. #387C22×C43semidirect
873. #387C22×C43semidirect
887. #385C22×C43semidirect
888. #385C22×C43semidirect
889. #385C22×C43semidirect
890. #383C22×C43semidirect
891. #383C22×C43semidirect
892. #382C22×C43semidirect
895. #381C22×C43semidirect
899. C4×C4⋊C4C22×C43semidirect
900. C4×C4⋊C4C22×C43semidirect
901. C4×C4⋊C4C22×C43semidirect
902. C4×C4⋊C4C22×C43semidirect
903. C4×C4⋊C4C22×C43semidirect
904. C4×C4⋊C4C22×C43semidirect
905. C4×C4⋊C4C22×C43semidirect
906. C4×C4⋊C4C22×C43semidirect
907. C4×C4⋊C4C22×C43semidirect
908. C4×C4⋊C4C22×C43semidirect
909. C4×C4⋊C4C22×C43semidirect
910. C4×C4⋊C4C22×C43semidirect
911. C4×C4⋊C4C22×C43semidirect
912. C4×C4⋊C4C22×C43semidirect
913. C4×C4⋊C4C22×C43semidirect
914. C4×C4⋊C4C22×C43semidirect
915. C4×C4⋊C4C22×C43semidirect
916. C4×C4⋊C4C22×C43semidirect
938. C4×C22⋊C4C22×C43semidirect
939. C4×C22⋊C4C22×C43semidirect
940. C4×C22⋊C4C22×C43semidirect
941. C4×C22⋊C4C22×C43semidirect
942. C4×C22⋊C4C22×C43semidirect
943. #376C22×C43semidirect
944. #376C22×C43semidirect
947. C43C22×C43semidirect
948. C43#34315direct (N × H)
967. #126C2×C4×C43semidirect
968. #126C2×C4×C43semidirect
969. #124C2×C4×C43semidirect
970. #123C2×C4×C43semidirect
971. #123C2×C4×C43semidirect
972. #123C2×C4×C43semidirect
973. C22⋊Q8C2×C4×C43semidirect
974. C22⋊Q8C2×C4×C43semidirect
980. C4×D4C2×C4×C43semidirect
981. C4×D4C2×C4×C43semidirect
984. #117C2×C4×C43semidirect
985. #117C2×C4×C43semidirect
1016. C2×C22⋊C4C2×C4×C43semidirect
1017. C2×C22⋊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×#5512
C43×#23742
C43×#23732
C43×#23682
C43×#23672
C43×#23622
C43×#23592
C43×#23582
C43×#23572
C43×#23532
C43×#23472
C43×#23432
C43×#23422
C43×#23372
C43×#23352
C43×#23342
C43×#23322
C43×#23222
C43×#23212
C4×#126×C432
C4×C22⋊Q8×C432
C4×#123×C432
C43×#22982
C43×#22902
C2×C43×#3882
C43×#22742
C43×#22732
C42×D4×C432
#3431543