Finite Group Databasebeta

← C43×#34283 #24954300

Subgroups — C43×#34283 #24954300

Order 11008.

2546 conjugacy classes of subgroups.

The subgroup lattice has 1606 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C43×#538C211yesmaximal, characteristic
2C43×#2374C211yesmaximal, characteristic, complemented
3C43×#2373C211yesmaximal, characteristic, complemented
4C43×#2373C211yesmaximal, characteristic, complemented
5C43×#2372C211yesmaximal, characteristic, complemented
6C43×#2368C211yesmaximal, characteristic, complemented
7C43×#2367C211yesmaximal, characteristic, complemented
8C43×#2364C211yesmaximal, characteristic, complemented
9C43×#2364C211yesmaximal, characteristic, complemented
10C43×#2363C211yesmaximal, characteristic, complemented
11C43×#2361C211yesmaximal, characteristic, complemented
12C43×#2360C211yesmaximal, characteristic, complemented
13C43×#2359C211yesmaximal, characteristic, complemented
14C43×#2358C211yesmaximal, characteristic, complemented
15C43×#2358C211yesmaximal, characteristic, complemented
16C43×#2358C211yesmaximal, characteristic, complemented
17C43×#2358C211yesmaximal, characteristic, complemented
18C43×#2337C211yesmaximal, characteristic, complemented
19C43×#2335C211yesmaximal, characteristic, complemented
20C43×#2334C211yesmaximal, characteristic, complemented
21C43×#2333C211yesmaximal, characteristic, complemented
22C43×#2318C211yesmaximal, characteristic, complemented
23C4×#126×C43C211yesmaximal, characteristic, complemented
24C4×#124×C43C211yesmaximal, characteristic, complemented
25C4×#123×C43C211yesmaximal, characteristic, complemented
26C4×#121×C43C211yesmaximal, characteristic, complemented
27C43×#2290C211yesmaximal, characteristic, complemented
28C2×C43×#388C211yesmaximal, characteristic, complemented
29C43×#2275C211yesmaximal, characteristic, complemented
30C43×#2273C211yesmaximal, characteristic, complemented
31C42×D4×C43C211yesmaximal, characteristic, complemented
32C43×#538C4116yescomplemented
33C2×#126×C43C2211yescharacteristic
34C2×#126×C43C2211yescharacteristic
35C2×#124×C43C2211yescharacteristic
36C2×#124×C43C2211yescharacteristic
37C2×#123×C43C2211yescharacteristic
38C2×#123×C43C2211yescharacteristic
39C2×C22⋊Q8×C43C2211yescharacteristic
40C2×#121×C43C2211yescharacteristic
41C2×#121×C43C2211yescharacteristic
42C2×#121×C43C2211yescharacteristic
43C2×#120×C43C2211yescharacteristic
44C2×#120×C43C2211yescharacteristic
45C2×C4×Q8×C43C2211yescharacteristic, complemented
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×C4×D4×C43C2211yescharacteristic
54C2×C4×D4×C43C2211yescharacteristic
55C2×C4×D4×C43C2211yescharacteristic
56C2×C4×D4×C43C2211yescharacteristic, complemented
57C2×#117×C43C2211yescharacteristic, complemented
58C22×C4⋊C4×C43C2211yescharacteristic
59C22×C22⋊C4×C43C2211yescharacteristic
60C22×C22⋊C4×C43C2211yescharacteristic
61C22×C22⋊C4×C43C2211yescharacteristic
62C22×C22⋊C4×C43C2211yescharacteristic
63C22×C22⋊C4×C43C2211yescharacteristic
64C22×C42×C43C2211yescharacteristic
65C22×C42×C43C2211yescharacteristic, complemented
66C43×#391C2211yescharacteristic, complemented
67C43×#391C2211yescharacteristic, complemented
68C43×#391C2211yescharacteristic, complemented
69C43×#390C2211yescharacteristic
70C43×#390C2211yescharacteristic
71C43×#390C2211yescharacteristic
72C43×#390C2211yescharacteristic
73C43×#390C2211yescharacteristic, complemented
74C43×#389C2211yescharacteristic, complemented
75C43×#389C2211yescharacteristic, complemented
76C43×#389C2211yescharacteristic, complemented
77C43×#389C2211yescharacteristic, complemented
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
93C43×#388C2211yescharacteristic
94C43×#388C2211yescharacteristic, complemented
95C43×#388C2211yescharacteristic, complemented
96C43×#388C2211yescharacteristic, complemented
97C43×#388C2211yescharacteristic, complemented
98C43×#388C2211yescharacteristic, complemented
99C43×#388C2211yescharacteristic, complemented
100C43×#388C2211yescharacteristic, complemented
101C43×#388C2211yescharacteristic, 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×#386C2211yescharacteristic
121C43×#386C2211yescharacteristic
122C43×#386C2211yescharacteristic
123C43×#386C2211yescharacteristic
124C43×#386C2211yescharacteristic
125C43×#386C2211yescharacteristic
126C43×#386C2211yescharacteristic, complemented
127C43×#386C2211yescharacteristic, complemented
128C43×#385C2211yescharacteristic
129C43×#385C2211yescharacteristic
130C43×#385C2211yescharacteristic
131C43×#385C2211yescharacteristic
132C43×#385C2211yescharacteristic
133C43×#385C2211yescharacteristic
134C43×#385C2211yescharacteristic
135C43×#385C2211yescharacteristic
136C43×#385C2211yescharacteristic, complemented
137C43×#385C2211yescharacteristic, complemented
138C43×#383C2211yescharacteristic, complemented
139C43×#382C2211yescharacteristic, complemented
140C43×#381C2211yescharacteristic, complemented
141C43×#380C2211yescharacteristic, 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×C22⋊C4×C43C2211yescharacteristic
154C4×C22⋊C4×C43C2211yescharacteristic
155C4×C22⋊C4×C43C2211yescharacteristic
156C4×C22⋊C4×C43C2211yescharacteristic
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, complemented
174C4×C22⋊C4×C43C2211yescharacteristic, complemented
175C4×C22⋊C4×C43C2211yescharacteristic, complemented
176C4×C22⋊C4×C43C2211yescharacteristic, complemented
177C4×C22⋊C4×C43C2211yescharacteristic, complemented
178C4×C22⋊C4×C43C2211yescharacteristic, complemented
179C4×C22⋊C4×C43C2211yescharacteristic, complemented
180C4×C22⋊C4×C43C2211yescharacteristic, complemented
181C4×C22⋊C4×C43C2211yescharacteristic, complemented
182C43×#376C2211yescharacteristic, complemented
183C43×#376C2211yescharacteristic, complemented
184C2×#95×C43C2211yescharacteristic
185C2×#95×C43C2211yescharacteristic
186C2×#95×C43C2211yescharacteristic, complemented
187C43×C43C2211yescharacteristic, complemented
188C25×C43C2311yescharacteristic
189C22×Q8×C43C2311yescharacteristic
190C22×D4×C43C2311yescharacteristic
191C22×D4×C43C2311yescharacteristic
192C22×D4×C43C2311yescharacteristic
193C22×D4×C43C2311yescharacteristic
194C22×D4×C43C2311yescharacteristic
195C22×D4×C43C2311yescharacteristic
196C22×D4×C43C2311yescharacteristic
197C23×C4×C43C2311yescharacteristic
198C23×C4×C43C2311yescharacteristic
199C23×C4×C43C2311yescharacteristic
200C23×C4×C43C2311yescharacteristic
201C23×C4×C43C2311yescharacteristic
202C23×C4×C43C2311yescharacteristic
203C23×C4×C43C2311yescharacteristic
204C23×C4×C43C2311yescharacteristic
205C23×C4×C43C2311yescharacteristic
206C23×C4×C43C2311yescharacteristic
207C23×C4×C43C2311yescharacteristic
208C23×C4×C43C2311yescharacteristic
209C23×C4×C43C2311yescharacteristic
210C23×C4×C43C2311yescharacteristic
211C23×C4×C43C2311yescharacteristic
212C23×C4×C43C2311yescharacteristic
213#126×C43C2×C418yescomplemented
214#126×C43C2×C418yescomplemented
215#124×C43C2×C418yescomplemented
216#124×C43C2×C418yescomplemented
217#123×C43C2×C418yescomplemented
218#123×C43C2×C418yescomplemented
219C22⋊Q8×C43C2×C418yescomplemented
220#121×C43C2×C418yescomplemented
221#121×C43C2×C418yescomplemented
222#121×C43C2×C418yescomplemented
223#120×C43C2×C418yescomplemented
224#120×C43C2×C418yescomplemented
225C4×Q8×C43—42no—
226C4×D4×C43—24no—
227C4×D4×C43—24no—
228C4×D4×C43—24no—
229C4×D4×C43—24no—
230C4×D4×C43—42no—
231C4×D4×C43—42no—
232C4×D4×C43—42no—
233C4×D4×C43—42no—
234C4×D4×C43—42no—
235C4×D4×C43C2×C418yescomplemented
236C4×D4×C43C2×C418yescomplemented
237#117×C43—42no—
238C2×C4⋊C4×C43—42no—
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×C22⋊C4×C43—24no—
262C2×C22⋊C4×C43—24no—
263C2×C22⋊C4×C43—42no—
264C2×C22⋊C4×C43—42no—
265C2×C22⋊C4×C43C2×C418yescomplemented
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×C22⋊C4×C43C2311yescharacteristic
296C2×C22⋊C4×C43C2311yescharacteristic
297C2×C22⋊C4×C43C2311yescharacteristic
298C2×C22⋊C4×C43C2311yescharacteristic
299C2×C22⋊C4×C43C2311yescharacteristic
300C2×C22⋊C4×C43C2311yescharacteristic
301C2×C22⋊C4×C43C2311yescharacteristic
302C2×C22⋊C4×C43C2311yescharacteristic
303C2×C22⋊C4×C43C2311yescharacteristic
304C2×C22⋊C4×C43C2311yescharacteristic
305C2×C22⋊C4×C43C2311yescharacteristic
306C2×C22⋊C4×C43C2311yescharacteristic
307C2×C22⋊C4×C43C2311yescharacteristic
308C2×C42×C43—42no—
309C2×C42×C43—42no—
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
326C2×C42×C43C2311yescharacteristic
327C2×C42×C43C2311yescharacteristic
328C2×C42×C43C2311yescharacteristic
329C2×C42×C43C2311yescharacteristic
330C2×C42×C43C2311yescharacteristic
331C2×C42×C43C2311yescharacteristic
332C2×C42×C43C2311yescharacteristic
333C2×C42×C43C2311yescharacteristic
334C2×C42×C43C2311yescharacteristic
335C2×C42×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
370#95×C43C2311yescharacteristic
371#95×C43C2311yescharacteristic
372#95×C43C2311yescharacteristic
373#95×C43C2311yescharacteristic
374#95×C43C2311yescharacteristic
375#95×C43C2311yescharacteristic
376C24×C43—22no—
377C24×C43—22no—
378C24×C43—41no—
379C24×C43—41no—
380C24×C43—41no—
381C24×C43—41no—
382C24×C43C22×C414yes—
383C24×C43C2411yescharacteristic
384C24×C43C2411yescharacteristic
385C24×C43C2411yescharacteristic
386C24×C43C2411yescharacteristic
387C24×C43C2411yescharacteristic
388C2×Q8×C43—41no—
389C2×Q8×C43—41no—
390C2×Q8×C43C22×C414yes—
391C2×D4×C43—22no—
392C2×D4×C43—22no—
393C2×D4×C43—22no—
394C2×D4×C43—22no—
395C2×D4×C43—41no—
396C2×D4×C43—41no—
397C2×D4×C43—41no—
398C2×D4×C43—41no—
399C2×D4×C43—41no—
400C2×D4×C43—41no—
401C2×D4×C43—41no—
402C2×D4×C43—41no—
403C2×D4×C43—41no—
404C2×D4×C43—41no—
405C2×D4×C43C22×C414yes—
406C2×D4×C43C22×C414yes—
407C2×D4×C43C22×C414yes—
408C2×D4×C43C22×C414yes—
409C2×D4×C43C22×C414yes—
410C2×D4×C43C22×C414yes—
411C2×D4×C43C22×C414yes—
412C22×C4×C43—22no—
413C22×C4×C43—22no—
414C22×C4×C43—22no—
415C22×C4×C43—22no—
416C22×C4×C43—22no—
417C22×C4×C43—22no—
418C22×C4×C43—22no—
419C22×C4×C43—22no—
420C22×C4×C43—22no—
421C22×C4×C43—22no—
422C22×C4×C43—22no—
423C22×C4×C43—22no—
424C22×C4×C43—22no—
425C22×C4×C43—22no—
426C22×C4×C43—22no—
427C22×C4×C43—22no—
428C22×C4×C43—41no—
429C22×C4×C43—41no—
430C22×C4×C43—41no—
431C22×C4×C43—41no—
432C22×C4×C43—41no—
433C22×C4×C43—41no—
434C22×C4×C43—41no—
435C22×C4×C43—41no—
436C22×C4×C43—41no—
437C22×C4×C43—41no—
438C22×C4×C43—41no—
439C22×C4×C43—41no—
440C22×C4×C43—41no—
441C22×C4×C43—41no—
442C22×C4×C43—41no—
443C22×C4×C43—41no—
444C22×C4×C43—41no—
445C22×C4×C43—41no—
446C22×C4×C43—41no—
447C22×C4×C43—41no—
448C22×C4×C43—41no—
449C22×C4×C43—41no—
450C22×C4×C43—41no—
451C22×C4×C43—41no—
452C22×C4×C43—41no—
453C22×C4×C43—41no—
454C22×C4×C43—41no—
455C22×C4×C43—41no—
456C22×C4×C43C22×C414yes—
457C22×C4×C43C22×C414yes—
458C22×C4×C43C22×C414yes—
459C22×C4×C43C22×C414yes—
460C22×C4×C43C2411yescharacteristic
461C22×C4×C43C2411yescharacteristic
462C22×C4×C43C2411yescharacteristic
463C22×C4×C43C2411yescharacteristic
464C22×C4×C43C2411yescharacteristic
465C22×C4×C43C2411yescharacteristic
466C22×C4×C43C2411yescharacteristic
467C22×C4×C43C2411yescharacteristic
468C22×C4×C43C2411yescharacteristic
469C22×C4×C43C2411yescharacteristic
470C22×C4×C43C2411yescharacteristic
471C22×C4×C43C2411yescharacteristic
472C22×C4×C43C2411yescharacteristic
473C22×C4×C43C2411yescharacteristic
474C22×C4×C43C2411yescharacteristic
475C22×C4×C43C2411yescharacteristic
476C22×C4×C43C2411yescharacteristic
477C22×C4×C43C2411yescharacteristic
478C22×C4×C43C2411yescharacteristic
479C22×C4×C43C2411yescharacteristic
480C22×C4×C43C2411yescharacteristic
481C22×C4×C43C2411yescharacteristic
482C22×C4×C43C2411yescharacteristic
483C22×C4×C43C2411yescharacteristic
484C22×C4×C43C2411yescharacteristic
485C22×C4×C43C2411yescharacteristic
486C4⋊C4×C43—22no—
487C4⋊C4×C43—22no—
488C4⋊C4×C43—22no—
489C4⋊C4×C43—22no—
490C4⋊C4×C43—22no—
491C4⋊C4×C43—22no—
492C4⋊C4×C43—22no—
493C4⋊C4×C43—22no—
494C4⋊C4×C43—41no—
495C4⋊C4×C43—41no—
496C4⋊C4×C43—41no—
497C4⋊C4×C43—41no—
498C4⋊C4×C43—41no—
499C4⋊C4×C43—41no—
500C4⋊C4×C43—41no—
501C4⋊C4×C43—41no—
502C4⋊C4×C43C22×C414yes—
503C4⋊C4×C43C22×C414yes—
504C4⋊C4×C43C22×C414yes—
505C4⋊C4×C43C22×C414yes—
506C4⋊C4×C43C22×C414yes—
507C4⋊C4×C43C22×C414yes—
508C22⋊C4×C43—22no—
509C22⋊C4×C43—22no—
510C22⋊C4×C43—22no—
511C22⋊C4×C43—22no—
512C22⋊C4×C43—22no—
513C22⋊C4×C43—22no—
514C22⋊C4×C43—22no—
515C22⋊C4×C43—22no—
516C22⋊C4×C43—22no—
517C22⋊C4×C43—22no—
518C22⋊C4×C43—22no—
519C22⋊C4×C43—22no—
520C22⋊C4×C43—22no—
521C22⋊C4×C43—22no—
522C22⋊C4×C43—22no—
523C22⋊C4×C43—22no—
524C22⋊C4×C43—41no—
525C22⋊C4×C43—41no—
526C22⋊C4×C43—41no—
527C22⋊C4×C43—41no—
528C22⋊C4×C43—41no—
529C22⋊C4×C43—41no—
530C22⋊C4×C43—41no—
531C22⋊C4×C43—41no—
532C22⋊C4×C43—41no—
533C22⋊C4×C43—41no—
534C22⋊C4×C43C22×C414yes—
535C22⋊C4×C43C22×C414yes—
536C22⋊C4×C43C22×C414yes—
537C22⋊C4×C43C22×C414yes—
538C22⋊C4×C43C22×C414yes—
539C22⋊C4×C43C22×C414yes—
540C22⋊C4×C43C22×C414yes—
541C22⋊C4×C43C22×C414yes—
542C22⋊C4×C43C22×C414yes—
543C22⋊C4×C43C22×C414yes—
544C22⋊C4×C43C22×C414yes—
545C22⋊C4×C43C22×C414yes—
546C22⋊C4×C43C22×C414yes—
547C22⋊C4×C43C22×C414yes—
548C22⋊C4×C43#4114yes—
549C22⋊C4×C43#4114yes—
550C42×C43—22no—
551C42×C43—22no—
552C42×C43—22no—
553C42×C43—22no—
554C42×C43—22no—
555C42×C43—22no—
556C42×C43—22no—
557C42×C43—22no—
558C42×C43—41no—
559C42×C43—41no—
560C42×C43—41no—
561C42×C43—41no—
562C42×C43—41no—
563C42×C43—41no—
564C42×C43—41no—
565C42×C43—41no—
566C42×C43—41no—
567C42×C43—41no—
568C42×C43—41no—
569C42×C43—41no—
570C42×C43—41no—
571C42×C43—41no—
572C42×C43—41no—
573C42×C43—41no—
574C42×C43C22×C414yes—
575C42×C43C22×C414yes—
576C23×C43—21no—
577C23×C43—21no—
578C23×C43—21no—
579C23×C43—21no—
580C23×C43—21no—
581C23×C43—21no—
582C23×C43—21no—
583C23×C43—21no—
584C23×C43—21no—
585C23×C43—21no—
586C23×C43—21no—
587C23×C43—21no—
588C23×C43—21no—
589C23×C43—21no—
590C23×C43—21no—
591C23×C43—21no—
592C23×C43—21no—
593C23×C43—21no—
594C23×C43—21no—
595C23×C43—21no—
596C23×C43—21no—
597C23×C43—21no—
598C23×C43—21no—
599C23×C43—21no—
600C23×C43—21no—
601C23×C43—21no—
602C23×C43—21no—
603C23×C43—21no—
604C23×C43—28no—
605C23×C43—44no—
606C23×C43—44no—
607C23×C43—82no—
608C23×C43—82no—
609C23×C43—82no—
610C23×C43—82no—
611C23×C43C23×C412yes—
612C23×C43C23×C412yes—
613C23×C43C23×C412yes—
614C23×C43C23×C412yes—
615C23×C43C23×C412yes—
616C23×C43C2×#4112yes—
617C23×C43C2×#4112yes—
618C23×C43C2511yescharacteristic
619Q8×C43—44no—
620D4×C43—28no—
621D4×C43—28no—
622D4×C43—44no—
623D4×C43—44no—
624D4×C43—44no—
625D4×C43—44no—
626D4×C43—44no—
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—21no—
659C2×C4×C43—21no—
660C2×C4×C43—21no—
661C2×C4×C43—21no—
662C2×C4×C43—21no—
663C2×C4×C43—21no—
664C2×C4×C43—21no—
665C2×C4×C43—21no—
666C2×C4×C43—21no—
667C2×C4×C43—21no—
668C2×C4×C43—21no—
669C2×C4×C43—21no—
670C2×C4×C43—21no—
671C2×C4×C43—21no—
672C2×C4×C43—21no—
673C2×C4×C43—21no—
674C2×C4×C43—21no—
675C2×C4×C43—21no—
676C2×C4×C43—21no—
677C2×C4×C43—21no—
678C2×C4×C43—21no—
679C2×C4×C43—21no—
680C2×C4×C43—21no—
681C2×C4×C43—21no—
682C2×C4×C43—21no—
683C2×C4×C43—21no—
684C2×C4×C43—21no—
685C2×C4×C43—21no—
686C2×C4×C43—21no—
687C2×C4×C43—21no—
688C2×C4×C43—21no—
689C2×C4×C43—44no—
690C2×C4×C43—44no—
691C2×C4×C43—44no—
692C2×C4×C43—44no—
693C2×C4×C43—44no—
694C2×C4×C43—44no—
695C2×C4×C43—44no—
696C2×C4×C43—44no—
697C2×C4×C43—82no—
698C2×C4×C43—82no—
699C2×C4×C43—82no—
700C2×C4×C43—82no—
701C2×C4×C43—82no—
702C2×C4×C43—82no—
703C2×C4×C43—82no—
704C2×C4×C43—82no—
705C2×C4×C43C23×C412yes—
706C2×C4×C43C23×C412yes—
707C2×C4×C43C23×C412yes—
708C2×C4×C43C23×C412yes—
709C2×C4×C43C23×C412yes—
710C2×C4×C43C23×C412yes—
711C2×C4×C43C23×C412yes—
712C2×C4×C43C23×C412yes—
713C2×C4×C43C23×C412yes—
714C2×C4×C43C23×C412yes—
715C2×C4×C43C2×#4112yes—
716C2×C4×C43C2×#4112yes—
717C2×C4×C43C2×#4112yes—
718C2×C4×C43C2×#4112yes—
719C2×C4×C43H(5,𝔽2)12yes—
720C2×C4×C43H(5,𝔽2)12yes—
721#34283C4311yesmaximal, characteristic, direct product factor, Sylow
722C22×C43—22no—
723C22×C43—22no—
724C22×C43—22no—
725C22×C43—22no—
726C22×C43—22no—
727C22×C43—22no—
728C22×C43—22no—
729C22×C43—22no—
730C22×C43—22no—
731C22×C43—22no—
732C22×C43—22no—
733C22×C43—22no—
734C22×C43—22no—
735C22×C43—22no—
736C22×C43—22no—
737C22×C43—22no—
738C22×C43—22no—
739C22×C43—22no—
740C22×C43—41no—
741C22×C43—41no—
742C22×C43—41no—
743C22×C43—41no—
744C22×C43—41no—
745C22×C43—41no—
746C22×C43—41no—
747C22×C43—41no—
748C22×C43—41no—
749C22×C43—41no—
750C22×C43—41no—
751C22×C43—41no—
752C22×C43—41no—
753C22×C43—41no—
754C22×C43—41no—
755C22×C43—41no—
756C22×C43—88no—
757C22×C43C4×#4114yes—
758C22×C43C24×C411yescharacteristic
759C22×C43C22×#4111yescharacteristic
760C22×C43C22×#4111yescharacteristic
761C22×C43C2×H(5,𝔽2)11yescharacteristic
762C22×C43C2×H(5,𝔽2)11yescharacteristic
763C22×C43#58511yescharacteristic
764C22×C43#58511yescharacteristic
765C4×C43—22no—
766C4×C43—22no—
767C4×C43—22no—
768C4×C43—22no—
769C4×C43—22no—
770C4×C43—22no—
771C4×C43—22no—
772C4×C43—22no—
773C4×C43—22no—
774C4×C43—22no—
775C4×C43—22no—
776C4×C43—22no—
777C4×C43—22no—
778C4×C43—22no—
779C4×C43—22no—
780C4×C43—22no—
781C4×C43—41no—
782C4×C43—41no—
783C4×C43—41no—
784C4×C43—41no—
785C4×C43—41no—
786C4×C43—41no—
787C4×C43—41no—
788C4×C43—41no—
789C4×C43—41no—
790C4×C43—41no—
791C2×#538C2×C4311yescharacteristic
792#2374C2×C4311yescharacteristic, complemented
793#2373C2×C4311yescharacteristic, complemented
794#2373C2×C4311yescharacteristic, complemented
795#2372C2×C4311yescharacteristic, complemented
796#2368C2×C4311yescharacteristic, complemented
797#2367C2×C4311yescharacteristic, complemented
798#2364C2×C4311yescharacteristic, complemented
799#2364C2×C4311yescharacteristic, complemented
800#2363C2×C4311yescharacteristic, complemented
801#2361C2×C4311yescharacteristic, complemented
802#2360C2×C4311yescharacteristic, complemented
803#2359C2×C4311yescharacteristic, complemented
804#2358C2×C4311yescharacteristic, complemented
805#2358C2×C4311yescharacteristic, complemented
806#2358C2×C4311yescharacteristic, complemented
807#2358C2×C4311yescharacteristic, complemented
808#2337C2×C4311yescharacteristic, complemented
809#2335C2×C4311yescharacteristic, complemented
810#2334C2×C4311yescharacteristic, complemented
811#2333C2×C4311yescharacteristic, complemented
812#2318C2×C4311yescharacteristic, complemented
813C4×#126C2×C4311yescharacteristic, complemented
814C4×#124C2×C4311yescharacteristic, complemented
815C4×#123C2×C4311yescharacteristic, complemented
816C4×#121C2×C4311yescharacteristic, complemented
817#2290C2×C4311yescharacteristic, complemented
818C2×#388C2×C4311yescharacteristic, complemented
819#2275C2×C4311yescharacteristic, complemented
820#2273C2×C4311yescharacteristic, complemented
821C42×D4C2×C4311yescharacteristic, complemented
822C2×C43—24no—
823C2×C43—42no—
824C2×C43—42no—
825C2×C43—42no—
826C2×C43—42no—
827C2×C43C2×C4×#4111yescharacteristic
828C2×C43C4×H(5,𝔽2)11yescharacteristic
829C2×C43C4×H(5,𝔽2)11yescharacteristic
830C2×C43#351311yescharacteristic
831C2×C43#351411yescharacteristic
832C2×C43#351911yescharacteristic
833C2×C43#352111yescharacteristic
834#538C4×C43116yescomplemented
835C2×#126C22×C4311yescharacteristic
836C2×#126C22×C4311yescharacteristic
837C2×#124C22×C4311yescharacteristic
838C2×#124C22×C4311yescharacteristic
839C2×#123C22×C4311yescharacteristic
840C2×#123C22×C4311yescharacteristic
841C2×C22⋊Q8C22×C4311yescharacteristic
842C2×#121C22×C4311yescharacteristic
843C2×#121C22×C4311yescharacteristic
844C2×#121C22×C4311yescharacteristic
845C2×#120C22×C4311yescharacteristic
846C2×#120C22×C4311yescharacteristic
847C2×C4×Q8C22×C4311yescharacteristic, complemented
848C2×C4×D4C22×C4311yescharacteristic
849C2×C4×D4C22×C4311yescharacteristic
850C2×C4×D4C22×C4311yescharacteristic
851C2×C4×D4C22×C4311yescharacteristic
852C2×C4×D4C22×C4311yescharacteristic
853C2×C4×D4C22×C4311yescharacteristic
854C2×C4×D4C22×C4311yescharacteristic
855C2×C4×D4C22×C4311yescharacteristic
856C2×C4×D4C22×C4311yescharacteristic
857C2×C4×D4C22×C4311yescharacteristic
858C2×C4×D4C22×C4311yescharacteristic, complemented
859C2×#117C22×C4311yescharacteristic, complemented
860C22×C4⋊C4C22×C4311yescharacteristic
861C22×C22⋊C4C22×C4311yescharacteristic
862C22×C22⋊C4C22×C4311yescharacteristic
863C22×C22⋊C4C22×C4311yescharacteristic
864C22×C22⋊C4C22×C4311yescharacteristic
865C22×C22⋊C4C22×C4311yescharacteristic
866C22×C42C22×C4311yescharacteristic
867C22×C42C22×C4311yescharacteristic, complemented
868#391C22×C4311yescharacteristic, complemented
869#391C22×C4311yescharacteristic, complemented
870#391C22×C4311yescharacteristic, complemented
871#390C22×C4311yescharacteristic
872#390C22×C4311yescharacteristic
873#390C22×C4311yescharacteristic
874#390C22×C4311yescharacteristic
875#390C22×C4311yescharacteristic, complemented
876#389C22×C4311yescharacteristic, complemented
877#389C22×C4311yescharacteristic, complemented
878#389C22×C4311yescharacteristic, complemented
879#389C22×C4311yescharacteristic, complemented
880#388C22×C4311yescharacteristic
881#388C22×C4311yescharacteristic
882#388C22×C4311yescharacteristic
883#388C22×C4311yescharacteristic
884#388C22×C4311yescharacteristic
885#388C22×C4311yescharacteristic
886#388C22×C4311yescharacteristic
887#388C22×C4311yescharacteristic
888#388C22×C4311yescharacteristic
889#388C22×C4311yescharacteristic
890#388C22×C4311yescharacteristic
891#388C22×C4311yescharacteristic
892#388C22×C4311yescharacteristic
893#388C22×C4311yescharacteristic
894#388C22×C4311yescharacteristic
895#388C22×C4311yescharacteristic
896#388C22×C4311yescharacteristic, complemented
897#388C22×C4311yescharacteristic, complemented
898#388C22×C4311yescharacteristic, complemented
899#388C22×C4311yescharacteristic, complemented
900#388C22×C4311yescharacteristic, complemented
901#388C22×C4311yescharacteristic, complemented
902#388C22×C4311yescharacteristic, complemented
903#388C22×C4311yescharacteristic, complemented
904#387C22×C4311yescharacteristic, complemented
905#387C22×C4311yescharacteristic, complemented
906#387C22×C4311yescharacteristic, complemented
907#387C22×C4311yescharacteristic, complemented
908#387C22×C4311yescharacteristic, complemented
909#387C22×C4311yescharacteristic, complemented
910#387C22×C4311yescharacteristic, complemented
911#387C22×C4311yescharacteristic, complemented
912#387C22×C4311yescharacteristic, complemented
913#387C22×C4311yescharacteristic, complemented
914#387C22×C4311yescharacteristic, complemented
915#387C22×C4311yescharacteristic, complemented
916#386C22×C4311yescharacteristic
917#386C22×C4311yescharacteristic
918#386C22×C4311yescharacteristic
919#386C22×C4311yescharacteristic
920#386C22×C4311yescharacteristic
921#386C22×C4311yescharacteristic
922#386C22×C4311yescharacteristic
923#386C22×C4311yescharacteristic
924#386C22×C4311yescharacteristic
925#386C22×C4311yescharacteristic
926#386C22×C4311yescharacteristic
927#386C22×C4311yescharacteristic
928#386C22×C4311yescharacteristic, complemented
929#386C22×C4311yescharacteristic, complemented
930#385C22×C4311yescharacteristic
931#385C22×C4311yescharacteristic
932#385C22×C4311yescharacteristic
933#385C22×C4311yescharacteristic
934#385C22×C4311yescharacteristic
935#385C22×C4311yescharacteristic
936#385C22×C4311yescharacteristic
937#385C22×C4311yescharacteristic
938#385C22×C4311yescharacteristic, complemented
939#385C22×C4311yescharacteristic, complemented
940#383C22×C4311yescharacteristic, complemented
941#382C22×C4311yescharacteristic, complemented
942#381C22×C4311yescharacteristic, complemented
943#380C22×C4311yescharacteristic, complemented
944C4×C4⋊C4C22×C4311yescharacteristic, complemented
945C4×C4⋊C4C22×C4311yescharacteristic, complemented
946C4×C4⋊C4C22×C4311yescharacteristic, complemented
947C4×C4⋊C4C22×C4311yescharacteristic, complemented
948C4×C4⋊C4C22×C4311yescharacteristic, complemented
949C4×C4⋊C4C22×C4311yescharacteristic, complemented
950C4×C4⋊C4C22×C4311yescharacteristic, complemented
951C4×C4⋊C4C22×C4311yescharacteristic, complemented
952C4×C4⋊C4C22×C4311yescharacteristic, complemented
953C4×C4⋊C4C22×C4311yescharacteristic, complemented
954C4×C4⋊C4C22×C4311yescharacteristic, complemented
955C4×C22⋊C4C22×C4311yescharacteristic
956C4×C22⋊C4C22×C4311yescharacteristic
957C4×C22⋊C4C22×C4311yescharacteristic
958C4×C22⋊C4C22×C4311yescharacteristic
959C4×C22⋊C4C22×C4311yescharacteristic
960C4×C22⋊C4C22×C4311yescharacteristic
961C4×C22⋊C4C22×C4311yescharacteristic
962C4×C22⋊C4C22×C4311yescharacteristic
963C4×C22⋊C4C22×C4311yescharacteristic
964C4×C22⋊C4C22×C4311yescharacteristic
965C4×C22⋊C4C22×C4311yescharacteristic
966C4×C22⋊C4C22×C4311yescharacteristic
967C4×C22⋊C4C22×C4311yescharacteristic
968C4×C22⋊C4C22×C4311yescharacteristic
969C4×C22⋊C4C22×C4311yescharacteristic
970C4×C22⋊C4C22×C4311yescharacteristic
971C4×C22⋊C4C22×C4311yescharacteristic
972C4×C22⋊C4C22×C4311yescharacteristic
973C4×C22⋊C4C22×C4311yescharacteristic
974C4×C22⋊C4C22×C4311yescharacteristic
975C4×C22⋊C4C22×C4311yescharacteristic, complemented
976C4×C22⋊C4C22×C4311yescharacteristic, complemented
977C4×C22⋊C4C22×C4311yescharacteristic, complemented
978C4×C22⋊C4C22×C4311yescharacteristic, complemented
979C4×C22⋊C4C22×C4311yescharacteristic, complemented
980C4×C22⋊C4C22×C4311yescharacteristic, complemented
981C4×C22⋊C4C22×C4311yescharacteristic, complemented
982C4×C22⋊C4C22×C4311yescharacteristic, complemented
983C4×C22⋊C4C22×C4311yescharacteristic, complemented
984#376C22×C4311yescharacteristic, complemented
985#376C22×C4311yescharacteristic, complemented
986C2×#95C22×C4311yescharacteristic
987C2×#95C22×C4311yescharacteristic
988C2×#95C22×C4311yescharacteristic, complemented
989C43C22×C4311yescharacteristic, complemented
990C43#3428311yescharacteristic, direct product factor, Sylow
991C25C23×C4311yescharacteristic
992C22×Q8C23×C4311yescharacteristic
993C22×D4C23×C4311yescharacteristic
994C22×D4C23×C4311yescharacteristic
995C22×D4C23×C4311yescharacteristic
996C22×D4C23×C4311yescharacteristic
997C22×D4C23×C4311yescharacteristic
998C22×D4C23×C4311yescharacteristic
999C22×D4C23×C4311yescharacteristic
1000C23×C4C23×C4311yescharacteristic
1001C23×C4C23×C4311yescharacteristic
1002C23×C4C23×C4311yescharacteristic
1003C23×C4C23×C4311yescharacteristic
1004C23×C4C23×C4311yescharacteristic
1005C23×C4C23×C4311yescharacteristic
1006C23×C4C23×C4311yescharacteristic
1007C23×C4C23×C4311yescharacteristic
1008C23×C4C23×C4311yescharacteristic
1009C23×C4C23×C4311yescharacteristic
1010C23×C4C23×C4311yescharacteristic
1011C23×C4C23×C4311yescharacteristic
1012C23×C4C23×C4311yescharacteristic
1013C23×C4C23×C4311yescharacteristic
1014C23×C4C23×C4311yescharacteristic
1015C23×C4C23×C4311yescharacteristic
1016#126C2×C4×C4318yescomplemented
1017#126C2×C4×C4318yescomplemented
1018#124C2×C4×C4318yescomplemented
1019#124C2×C4×C4318yescomplemented
1020#123C2×C4×C4318yescomplemented
1021#123C2×C4×C4318yescomplemented
1022C22⋊Q8C2×C4×C4318yescomplemented
1023#121C2×C4×C4318yescomplemented
1024#121C2×C4×C4318yescomplemented
1025#121C2×C4×C4318yescomplemented
1026#120C2×C4×C4318yescomplemented
1027#120C2×C4×C4318yescomplemented
1028C4×Q8—42no—
1029C4×D4—24no—
1030C4×D4—24no—
1031C4×D4—24no—
1032C4×D4—24no—
1033C4×D4—42no—
1034C4×D4—42no—
1035C4×D4—42no—
1036C4×D4—42no—
1037C4×D4—42no—
1038C4×D4C2×C4×C4318yescomplemented
1039C4×D4C2×C4×C4318yescomplemented
1040#117—42no—
1041C2×C4⋊C4—42no—
1042C2×C4⋊C4C23×C4311yescharacteristic
1043C2×C4⋊C4C23×C4311yescharacteristic
1044C2×C4⋊C4C23×C4311yescharacteristic
1045C2×C4⋊C4C23×C4311yescharacteristic
1046C2×C4⋊C4C23×C4311yescharacteristic
1047C2×C4⋊C4C23×C4311yescharacteristic
1048C2×C4⋊C4C23×C4311yescharacteristic
1049C2×C4⋊C4C23×C4311yescharacteristic
1050C2×C4⋊C4C23×C4311yescharacteristic
1051C2×C4⋊C4C23×C4311yescharacteristic
1052C2×C4⋊C4C23×C4311yescharacteristic
1053C2×C4⋊C4C23×C4311yescharacteristic
1054C2×C4⋊C4C23×C4311yescharacteristic
1055C2×C4⋊C4C23×C4311yescharacteristic
1056C2×C4⋊C4C23×C4311yescharacteristic
1057C2×C4⋊C4C23×C4311yescharacteristic
1058C2×C4⋊C4C23×C4311yescharacteristic
1059C2×C4⋊C4C23×C4311yescharacteristic
1060C2×C4⋊C4C23×C4311yescharacteristic
1061C2×C4⋊C4C23×C4311yescharacteristic
1062C2×C4⋊C4C23×C4311yescharacteristic
1063C2×C4⋊C4C23×C4311yescharacteristic
1064C2×C22⋊C4—24no—
1065C2×C22⋊C4—24no—
1066C2×C22⋊C4—42no—
1067C2×C22⋊C4—42no—
1068C2×C22⋊C4C2×C4×C4318yescomplemented
1069C2×C22⋊C4C23×C4311yescharacteristic
1070C2×C22⋊C4C23×C4311yescharacteristic
1071C2×C22⋊C4C23×C4311yescharacteristic
1072C2×C22⋊C4C23×C4311yescharacteristic
1073C2×C22⋊C4C23×C4311yescharacteristic
1074C2×C22⋊C4C23×C4311yescharacteristic
1075C2×C22⋊C4C23×C4311yescharacteristic
1076C2×C22⋊C4C23×C4311yescharacteristic
1077C2×C22⋊C4C23×C4311yescharacteristic
1078C2×C22⋊C4C23×C4311yescharacteristic
1079C2×C22⋊C4C23×C4311yescharacteristic
1080C2×C22⋊C4C23×C4311yescharacteristic
1081C2×C22⋊C4C23×C4311yescharacteristic
1082C2×C22⋊C4C23×C4311yescharacteristic
1083C2×C22⋊C4C23×C4311yescharacteristic
1084C2×C22⋊C4C23×C4311yescharacteristic
1085C2×C22⋊C4C23×C4311yescharacteristic
1086C2×C22⋊C4C23×C4311yescharacteristic
1087C2×C22⋊C4C23×C4311yescharacteristic
1088C2×C22⋊C4C23×C4311yescharacteristic
1089C2×C22⋊C4C23×C4311yescharacteristic
1090C2×C22⋊C4C23×C4311yescharacteristic
1091C2×C22⋊C4C23×C4311yescharacteristic
1092C2×C22⋊C4C23×C4311yescharacteristic
1093C2×C22⋊C4C23×C4311yescharacteristic
1094C2×C22⋊C4C23×C4311yescharacteristic
1095C2×C22⋊C4C23×C4311yescharacteristic
1096C2×C22⋊C4C23×C4311yescharacteristic
1097C2×C22⋊C4C23×C4311yescharacteristic
1098C2×C22⋊C4C23×C4311yescharacteristic
1099C2×C22⋊C4C23×C4311yescharacteristic
1100C2×C22⋊C4C23×C4311yescharacteristic
1101C2×C22⋊C4C23×C4311yescharacteristic
1102C2×C22⋊C4C23×C4311yescharacteristic
1103C2×C22⋊C4C23×C4311yescharacteristic
1104C2×C22⋊C4C23×C4311yescharacteristic
1105C2×C22⋊C4C23×C4311yescharacteristic
1106C2×C22⋊C4C23×C4311yescharacteristic
1107C2×C22⋊C4C23×C4311yescharacteristic
1108C2×C22⋊C4C23×C4311yescharacteristic
1109C2×C22⋊C4C23×C4311yescharacteristic
1110C2×C22⋊C4C23×C4311yescharacteristic
1111C2×C42—42no—
1112C2×C42—42no—
1113C2×C42C23×C4311yescharacteristic
1114C2×C42C23×C4311yescharacteristic
1115C2×C42C23×C4311yescharacteristic
1116C2×C42C23×C4311yescharacteristic
1117C2×C42C23×C4311yescharacteristic
1118C2×C42C23×C4311yescharacteristic
1119C2×C42C23×C4311yescharacteristic
1120C2×C42C23×C4311yescharacteristic
1121C2×C42C23×C4311yescharacteristic
1122C2×C42C23×C4311yescharacteristic
1123C2×C42C23×C4311yescharacteristic
1124C2×C42C23×C4311yescharacteristic
1125C2×C42C23×C4311yescharacteristic
1126C2×C42C23×C4311yescharacteristic
1127C2×C42C23×C4311yescharacteristic
1128C2×C42C23×C4311yescharacteristic
1129C2×C42C23×C4311yescharacteristic
1130C2×C42C23×C4311yescharacteristic
1131C2×C42C23×C4311yescharacteristic
1132C2×C42C23×C4311yescharacteristic
1133C2×C42C23×C4311yescharacteristic
1134C2×C42C23×C4311yescharacteristic
1135C2×C42C23×C4311yescharacteristic
1136C2×C42C23×C4311yescharacteristic
1137C2×C42C23×C4311yescharacteristic
1138C2×C42C23×C4311yescharacteristic
1139#95C23×C4311yescharacteristic
1140#95C23×C4311yescharacteristic
1141#95C23×C4311yescharacteristic
1142#95C23×C4311yescharacteristic
1143#95C23×C4311yescharacteristic
1144#95C23×C4311yescharacteristic
1145#95C23×C4311yescharacteristic
1146#95C23×C4311yescharacteristic
1147#95C23×C4311yescharacteristic
1148#95C23×C4311yescharacteristic
1149#95C23×C4311yescharacteristic
1150#95C23×C4311yescharacteristic
1151#95C23×C4311yescharacteristic
1152#95C23×C4311yescharacteristic
1153#95C23×C4311yescharacteristic
1154#95C23×C4311yescharacteristic
1155#95C23×C4311yescharacteristic
1156#95C23×C4311yescharacteristic
1157#95C23×C4311yescharacteristic
1158#95C23×C4311yescharacteristic
1159#95C23×C4311yescharacteristic
1160#95C23×C4311yescharacteristic
1161#95C23×C4311yescharacteristic
1162#95C23×C4311yescharacteristic
1163#95C23×C4311yescharacteristic
1164#95C23×C4311yescharacteristic
1165#95C23×C4311yescharacteristic
1166#95C23×C4311yescharacteristic
1167#95C23×C4311yescharacteristic
1168#95C23×C4311yescharacteristic
1169#95C23×C4311yescharacteristic
1170#95C23×C4311yescharacteristic
1171#95C23×C4311yescharacteristic
1172#95C23×C4311yescharacteristic
1173#95C23×C4311yescharacteristic
1174#95C23×C4311yescharacteristic
1175#95C23×C4311yescharacteristic
1176#95C23×C4311yescharacteristic
1177#95C23×C4311yescharacteristic
1178#95C23×C4311yescharacteristic
1179C24—22no—
1180C24—22no—
1181C24—41no—
1182C24—41no—
1183C24—41no—
1184C24—41no—
1185C24C22×C4×C4314yes—
1186C24C24×C4311yescharacteristic
1187C24C24×C4311yescharacteristic
1188C24C24×C4311yescharacteristic
1189C24C24×C4311yescharacteristic
1190C24C24×C4311yescharacteristic
1191C2×Q8—41no—
1192C2×Q8—41no—
1193C2×Q8C22×C4×C4314yes—
1194C2×D4—22no—
1195C2×D4—22no—
1196C2×D4—22no—
1197C2×D4—22no—
1198C2×D4—41no—
1199C2×D4—41no—
1200C2×D4—41no—
1201C2×D4—41no—
1202C2×D4—41no—
1203C2×D4—41no—
1204C2×D4—41no—
1205C2×D4—41no—
1206C2×D4—41no—
1207C2×D4—41no—
1208C2×D4C22×C4×C4314yes—
1209C2×D4C22×C4×C4314yes—
1210C2×D4C22×C4×C4314yes—
1211C2×D4C22×C4×C4314yes—
1212C2×D4C22×C4×C4314yes—
1213C2×D4C22×C4×C4314yes—
1214C2×D4C22×C4×C4314yes—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—41no—
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×C4—41no—
1243C22×C4—41no—
1244C22×C4—41no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—41no—
1249C22×C4—41no—
1250C22×C4—41no—
1251C22×C4—41no—
1252C22×C4—41no—
1253C22×C4—41no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—41no—
1257C22×C4—41no—
1258C22×C4—41no—
1259C22×C4C22×C4×C4314yes—
1260C22×C4C22×C4×C4314yes—
1261C22×C4C22×C4×C4314yes—
1262C22×C4C22×C4×C4314yes—
1263C22×C4C24×C4311yescharacteristic
1264C22×C4C24×C4311yescharacteristic
1265C22×C4C24×C4311yescharacteristic
1266C22×C4C24×C4311yescharacteristic
1267C22×C4C24×C4311yescharacteristic
1268C22×C4C24×C4311yescharacteristic
1269C22×C4C24×C4311yescharacteristic
1270C22×C4C24×C4311yescharacteristic
1271C22×C4C24×C4311yescharacteristic
1272C22×C4C24×C4311yescharacteristic
1273C22×C4C24×C4311yescharacteristic
1274C22×C4C24×C4311yescharacteristic
1275C22×C4C24×C4311yescharacteristic
1276C22×C4C24×C4311yescharacteristic
1277C22×C4C24×C4311yescharacteristic
1278C22×C4C24×C4311yescharacteristic
1279C22×C4C24×C4311yescharacteristic
1280C22×C4C24×C4311yescharacteristic
1281C22×C4C24×C4311yescharacteristic
1282C22×C4C24×C4311yescharacteristic
1283C22×C4C24×C4311yescharacteristic
1284C22×C4C24×C4311yescharacteristic
1285C22×C4C24×C4311yescharacteristic
1286C22×C4C24×C4311yescharacteristic
1287C22×C4C24×C4311yescharacteristic
1288C22×C4C24×C4311yescharacteristic
1289C4⋊C4—22no—
1290C4⋊C4—22no—
1291C4⋊C4—22no—
1292C4⋊C4—22no—
1293C4⋊C4—22no—
1294C4⋊C4—22no—
1295C4⋊C4—22no—
1296C4⋊C4—22no—
1297C4⋊C4—41no—
1298C4⋊C4—41no—
1299C4⋊C4—41no—
1300C4⋊C4—41no—
1301C4⋊C4—41no—
1302C4⋊C4—41no—
1303C4⋊C4—41no—
1304C4⋊C4—41no—
1305C4⋊C4C22×C4×C4314yes—
1306C4⋊C4C22×C4×C4314yes—
1307C4⋊C4C22×C4×C4314yes—
1308C4⋊C4C22×C4×C4314yes—
1309C4⋊C4C22×C4×C4314yes—
1310C4⋊C4C22×C4×C4314yes—
1311C22⋊C4—22no—
1312C22⋊C4—22no—
1313C22⋊C4—22no—
1314C22⋊C4—22no—
1315C22⋊C4—22no—
1316C22⋊C4—22no—
1317C22⋊C4—22no—
1318C22⋊C4—22no—
1319C22⋊C4—22no—
1320C22⋊C4—22no—
1321C22⋊C4—22no—
1322C22⋊C4—22no—
1323C22⋊C4—22no—
1324C22⋊C4—22no—
1325C22⋊C4—22no—
1326C22⋊C4—22no—
1327C22⋊C4—41no—
1328C22⋊C4—41no—
1329C22⋊C4—41no—
1330C22⋊C4—41no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4C22×C4×C4314yes—
1338C22⋊C4C22×C4×C4314yes—
1339C22⋊C4C22×C4×C4314yes—
1340C22⋊C4C22×C4×C4314yes—
1341C22⋊C4C22×C4×C4314yes—
1342C22⋊C4C22×C4×C4314yes—
1343C22⋊C4C22×C4×C4314yes—
1344C22⋊C4C22×C4×C4314yes—
1345C22⋊C4C22×C4×C4314yes—
1346C22⋊C4C22×C4×C4314yes—
1347C22⋊C4C22×C4×C4314yes—
1348C22⋊C4C22×C4×C4314yes—
1349C22⋊C4C22×C4×C4314yes—
1350C22⋊C4C22×C4×C4314yes—
1351C22⋊C4#41×C4314yes—
1352C22⋊C4#41×C4314yes—
1353C42—22no—
1354C42—22no—
1355C42—22no—
1356C42—22no—
1357C42—22no—
1358C42—22no—
1359C42—22no—
1360C42—22no—
1361C42—41no—
1362C42—41no—
1363C42—41no—
1364C42—41no—
1365C42—41no—
1366C42—41no—
1367C42—41no—
1368C42—41no—
1369C42—41no—
1370C42—41no—
1371C42—41no—
1372C42—41no—
1373C42—41no—
1374C42—41no—
1375C42—41no—
1376C42—41no—
1377C42C22×C4×C4314yes—
1378C42C22×C4×C4314yes—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—28no—
1408C23—44no—
1409C23—44no—
1410C23—82no—
1411C23—82no—
1412C23—82no—
1413C23—82no—
1414C23C23×C4×C4312yes—
1415C23C23×C4×C4312yes—
1416C23C23×C4×C4312yes—
1417C23C23×C4×C4312yes—
1418C23C23×C4×C4312yes—
1419C23C2×#41×C4312yes—
1420C23C2×#41×C4312yes—
1421C23C25×C4311yescharacteristic
1422Q8—44no—
1423D4—28no—
1424D4—28no—
1425D4—44no—
1426D4—44no—
1427D4—44no—
1428D4—44no—
1429D4—44no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—44no—
1493C2×C4—44no—
1494C2×C4—44no—
1495C2×C4—44no—
1496C2×C4—44no—
1497C2×C4—44no—
1498C2×C4—44no—
1499C2×C4—44no—
1500C2×C4—82no—
1501C2×C4—82no—
1502C2×C4—82no—
1503C2×C4—82no—
1504C2×C4—82no—
1505C2×C4—82no—
1506C2×C4—82no—
1507C2×C4—82no—
1508C2×C4C23×C4×C4312yes—
1509C2×C4C23×C4×C4312yes—
1510C2×C4C23×C4×C4312yes—
1511C2×C4C23×C4×C4312yes—
1512C2×C4C23×C4×C4312yes—
1513C2×C4C23×C4×C4312yes—
1514C2×C4C23×C4×C4312yes—
1515C2×C4C23×C4×C4312yes—
1516C2×C4C23×C4×C4312yes—
1517C2×C4C23×C4×C4312yes—
1518C2×C4C2×#41×C4312yes—
1519C2×C4C2×#41×C4312yes—
1520C2×C4C2×#41×C4312yes—
1521C2×C4C2×#41×C4312yes—
1522C2×C4H(5,𝔽2)×C4312yes—
1523C2×C4H(5,𝔽2)×C4312yes—
1524C22—22no—
1525C22—22no—
1526C22—22no—
1527C22—22no—
1528C22—22no—
1529C22—22no—
1530C22—22no—
1531C22—22no—
1532C22—22no—
1533C22—22no—
1534C22—22no—
1535C22—22no—
1536C22—22no—
1537C22—22no—
1538C22—22no—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—88no—
1559C22C4×#41×C4314yes—
1560C22C24×C4×C4311yescharacteristic
1561C22C22×#41×C4311yescharacteristic
1562C22C22×#41×C4311yescharacteristic
1563C22C2×H(5,𝔽2)×C4311yescharacteristic
1564C22C2×H(5,𝔽2)×C4311yescharacteristic
1565C22C43×#58511yescharacteristic
1566C22C43×#58511yescharacteristic
1567C4—22no—
1568C4—22no—
1569C4—22no—
1570C4—22no—
1571C4—22no—
1572C4—22no—
1573C4—22no—
1574C4—22no—
1575C4—22no—
1576C4—22no—
1577C4—22no—
1578C4—22no—
1579C4—22no—
1580C4—22no—
1581C4—22no—
1582C4—22no—
1583C4—41no—
1584C4—41no—
1585C4—41no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C2—24no—
1594C2—42no—
1595C2—42no—
1596C2—42no—
1597C2—42no—
1598C2C2×C4×#41×C4311yescharacteristic
1599C2C4×H(5,𝔽2)×C4311yescharacteristic
1600C2C4×H(5,𝔽2)×C4311yescharacteristic
1601C2C43×#351311yescharacteristic
1602C2C43×#351411yescharacteristic
1603C2C43×#351911yescharacteristic
1604C2C43×#352111yescharacteristic
subgroupG/H
center, socleC23×C43C25
commutatorC22C24×C4×C43
Frattini, cosocleC23C25×C43
prime radicalC2×C43×#538C2
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×#2373C2semidirect
4. C43×#2373C2semidirect
5. C43×#2372C2semidirect
6. C43×#2368C2semidirect
7. C43×#2367C2semidirect
8. C43×#2364C2semidirect
9. C43×#2364C2semidirect
10. C43×#2363C2semidirect
11. C43×#2361C2semidirect
12. C43×#2360C2semidirect
13. C43×#2359C2semidirect
14. C43×#2358C2semidirect
15. C43×#2358C2semidirect
16. C43×#2358C2semidirect
17. C43×#2358C2semidirect
18. C43×#2337C2semidirect
19. C43×#2335C2semidirect
20. C43×#2334C2semidirect
21. C43×#2333C2semidirect
22. C43×#2318C2semidirect
23. C4×#126×C43C2semidirect
24. C4×#124×C43C2semidirect
25. C4×#123×C43C2semidirect
26. C4×#121×C43C2semidirect
27. C43×#2290C2semidirect
28. C2×C43×#388C2semidirect
29. C43×#2275C2semidirect
30. C43×#2273C2semidirect
31. C42×D4×C43C2semidirect
32. C43×#538C4semidirect
45. C2×C4×Q8×C43C22semidirect
56. C2×C4×D4×C43C22semidirect
57. C2×#117×C43C22semidirect
65. C22×C42×C43C22semidirect
66. C43×#391C22semidirect
67. C43×#391C22semidirect
68. C43×#391C22semidirect
73. C43×#390C22semidirect
74. C43×#389C22semidirect
75. C43×#389C22semidirect
76. C43×#389C22semidirect
77. C43×#389C22semidirect
94. C43×#388C22semidirect
95. C43×#388C22semidirect
96. C43×#388C22semidirect
97. C43×#388C22semidirect
98. C43×#388C22semidirect
99. C43×#388C22semidirect
100. C43×#388C22semidirect
101. C43×#388C22semidirect
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
126. C43×#386C22semidirect
127. C43×#386C22semidirect
136. C43×#385C22semidirect
137. C43×#385C22semidirect
138. C43×#383C22semidirect
139. C43×#382C22semidirect
140. C43×#381C22semidirect
141. C43×#380C22semidirect
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
173. C4×C22⋊C4×C43C22semidirect
174. C4×C22⋊C4×C43C22semidirect
175. C4×C22⋊C4×C43C22semidirect
176. C4×C22⋊C4×C43C22semidirect
177. C4×C22⋊C4×C43C22semidirect
178. C4×C22⋊C4×C43C22semidirect
179. C4×C22⋊C4×C43C22semidirect
180. C4×C22⋊C4×C43C22semidirect
181. C4×C22⋊C4×C43C22semidirect
182. C43×#376C22semidirect
183. C43×#376C22semidirect
186. C2×#95×C43C22semidirect
187. C43×C43C22semidirect
213. #126×C43C2×C4semidirect
214. #126×C43C2×C4semidirect
215. #124×C43C2×C4semidirect
216. #124×C43C2×C4semidirect
217. #123×C43C2×C4semidirect
218. #123×C43C2×C4semidirect
219. C22⋊Q8×C43C2×C4semidirect
220. #121×C43C2×C4semidirect
221. #121×C43C2×C4semidirect
222. #121×C43C2×C4semidirect
223. #120×C43C2×C4semidirect
224. #120×C43C2×C4semidirect
235. C4×D4×C43C2×C4semidirect
236. C4×D4×C43C2×C4semidirect
265. C2×C22⋊C4×C43C2×C4semidirect
721. #34283C43direct (N × H)
792. #2374C2×C43semidirect
793. #2373C2×C43semidirect
794. #2373C2×C43semidirect
795. #2372C2×C43semidirect
796. #2368C2×C43semidirect
797. #2367C2×C43semidirect
798. #2364C2×C43semidirect
799. #2364C2×C43semidirect
800. #2363C2×C43semidirect
801. #2361C2×C43semidirect
802. #2360C2×C43semidirect
803. #2359C2×C43semidirect
804. #2358C2×C43semidirect
805. #2358C2×C43semidirect
806. #2358C2×C43semidirect
807. #2358C2×C43semidirect
808. #2337C2×C43semidirect
809. #2335C2×C43semidirect
810. #2334C2×C43semidirect
811. #2333C2×C43semidirect
812. #2318C2×C43semidirect
813. C4×#126C2×C43semidirect
814. C4×#124C2×C43semidirect
815. C4×#123C2×C43semidirect
816. C4×#121C2×C43semidirect
817. #2290C2×C43semidirect
818. C2×#388C2×C43semidirect
819. #2275C2×C43semidirect
820. #2273C2×C43semidirect
821. C42×D4C2×C43semidirect
834. #538C4×C43semidirect
847. C2×C4×Q8C22×C43semidirect
858. C2×C4×D4C22×C43semidirect
859. C2×#117C22×C43semidirect
867. C22×C42C22×C43semidirect
868. #391C22×C43semidirect
869. #391C22×C43semidirect
870. #391C22×C43semidirect
875. #390C22×C43semidirect
876. #389C22×C43semidirect
877. #389C22×C43semidirect
878. #389C22×C43semidirect
879. #389C22×C43semidirect
896. #388C22×C43semidirect
897. #388C22×C43semidirect
898. #388C22×C43semidirect
899. #388C22×C43semidirect
900. #388C22×C43semidirect
901. #388C22×C43semidirect
902. #388C22×C43semidirect
903. #388C22×C43semidirect
904. #387C22×C43semidirect
905. #387C22×C43semidirect
906. #387C22×C43semidirect
907. #387C22×C43semidirect
908. #387C22×C43semidirect
909. #387C22×C43semidirect
910. #387C22×C43semidirect
911. #387C22×C43semidirect
912. #387C22×C43semidirect
913. #387C22×C43semidirect
914. #387C22×C43semidirect
915. #387C22×C43semidirect
928. #386C22×C43semidirect
929. #386C22×C43semidirect
938. #385C22×C43semidirect
939. #385C22×C43semidirect
940. #383C22×C43semidirect
941. #382C22×C43semidirect
942. #381C22×C43semidirect
943. #380C22×C43semidirect
944. C4×C4⋊C4C22×C43semidirect
945. C4×C4⋊C4C22×C43semidirect
946. C4×C4⋊C4C22×C43semidirect
947. C4×C4⋊C4C22×C43semidirect
948. C4×C4⋊C4C22×C43semidirect
949. C4×C4⋊C4C22×C43semidirect
950. C4×C4⋊C4C22×C43semidirect
951. C4×C4⋊C4C22×C43semidirect
952. C4×C4⋊C4C22×C43semidirect
953. C4×C4⋊C4C22×C43semidirect
954. C4×C4⋊C4C22×C43semidirect
975. C4×C22⋊C4C22×C43semidirect
976. C4×C22⋊C4C22×C43semidirect
977. C4×C22⋊C4C22×C43semidirect
978. C4×C22⋊C4C22×C43semidirect
979. C4×C22⋊C4C22×C43semidirect
980. C4×C22⋊C4C22×C43semidirect
981. C4×C22⋊C4C22×C43semidirect
982. C4×C22⋊C4C22×C43semidirect
983. C4×C22⋊C4C22×C43semidirect
984. #376C22×C43semidirect
985. #376C22×C43semidirect
988. C2×#95C22×C43semidirect
989. C43C22×C43semidirect
990. C43#34283direct (N × H)
1016. #126C2×C4×C43semidirect
1017. #126C2×C4×C43semidirect
1018. #124C2×C4×C43semidirect
1019. #124C2×C4×C43semidirect
1020. #123C2×C4×C43semidirect
1021. #123C2×C4×C43semidirect
1022. C22⋊Q8C2×C4×C43semidirect
1023. #121C2×C4×C43semidirect
1024. #121C2×C4×C43semidirect
1025. #121C2×C4×C43semidirect
1026. #120C2×C4×C43semidirect
1027. #120C2×C4×C43semidirect
1038. C4×D4C2×C4×C43semidirect
1039. C4×D4C2×C4×C43semidirect
1068. 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×#5382
C43×#23742
C43×#23732
C43×#23722
C43×#23682
C43×#23672
C43×#23642
C43×#23632
C43×#23612
C43×#23602
C43×#23592
C43×#23582
C43×#23372
C43×#23352
C43×#23342
C43×#23332
C43×#23182
C4×#126×C432
C4×#124×C432
C4×#123×C432
C4×#121×C432
C43×#22902
C2×C43×#3882
C43×#22752
C43×#22732
C42×D4×C432
#3428343