Finite Group Databasebeta

← C43×#34991 #24955008

Subgroups — C43×#34991 #24955008

Order 11008.

2878 conjugacy classes of subgroups.

The subgroup lattice has 1724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C43×#539C211yesmaximal, characteristic, complemented
2C22×C4×D4×C43C211yesmaximal, characteristic, complemented
3C43×#2852C211yesmaximal, characteristic, complemented
4C43×#2851C211yesmaximal, characteristic, complemented
5C43×#2849C211yesmaximal, characteristic, complemented
6C43×#2848C211yesmaximal, characteristic, complemented
7C43×#2638C211yesmaximal, characteristic, complemented
8C43×#2636C211yesmaximal, characteristic, complemented
9C43×#2633C211yesmaximal, characteristic, complemented
10C43×#2630C211yesmaximal, characteristic, complemented
11C43×#2480C211yesmaximal, characteristic, complemented
12C43×#2473C211yesmaximal, characteristic, complemented
13C43×#2466C211yesmaximal, characteristic, complemented
14C43×#2463C211yesmaximal, characteristic, complemented
15C43×#2460C211yesmaximal, characteristic, complemented
16C43×#2455C211yesmaximal, characteristic, complemented
17C43×#2449C211yesmaximal, characteristic, complemented
18C43×#2449C211yesmaximal, characteristic, complemented
19C43×#2443C211yesmaximal, characteristic, complemented
20C43×#2437C211yesmaximal, characteristic, complemented
21C43×#2425C211yesmaximal, characteristic, complemented
22C43×#2419C211yesmaximal, characteristic, complemented
23C43×#2418C211yesmaximal, characteristic, complemented
24C43×#2412C211yesmaximal, characteristic, complemented
25C43×#2410C211yesmaximal, characteristic
26C43×#2405C211yesmaximal, characteristic, complemented
27C43×#2325C211yesmaximal, characteristic, complemented
28C43×#2322C211yesmaximal, characteristic, complemented
29C43×#2318C211yesmaximal, characteristic, complemented
30C4×#120×C43C211yesmaximal, characteristic, complemented
31C2×C43×#385C211yesmaximal, characteristic, complemented
32C23×D4×C43C2211yescharacteristic
33C24×C4×C43C2211yescharacteristic
34C24×C4×C43C2211yescharacteristic
35C43×#539—28no—
36C2×#126×C43C2211yescharacteristic, complemented
37C2×#126×C43C2211yescharacteristic, complemented
38C2×#125×C43C2211yescharacteristic, complemented
39C2×#125×C43C2211yescharacteristic, complemented
40C2×#123×C43C2211yescharacteristic
41C2×#123×C43C2211yescharacteristic
42C2×#123×C43C2211yescharacteristic, complemented
43C2×#123×C43C2211yescharacteristic, complemented
44C2×#123×C43C2211yescharacteristic, complemented
45C2×#123×C43C2211yescharacteristic, complemented
46C2×C22⋊Q8×C43C2211yescharacteristic
47C2×C22⋊Q8×C43C2211yescharacteristic, complemented
48C2×C22⋊Q8×C43C2211yescharacteristic, complemented
49C2×C22⋊Q8×C43C2211yescharacteristic, complemented
50C2×C22⋊Q8×C43C2211yescharacteristic, complemented
51C2×#121×C43C2211yescharacteristic
52C2×#121×C43C2211yescharacteristic
53C2×#120×C43C2211yescharacteristic
54C2×#120×C43C2211yescharacteristic
55C2×C4×D4×C43—28no—
56C2×C4×D4×C43C2211yescharacteristic
57C2×C4×D4×C43C2211yescharacteristic
58C2×C4×D4×C43C2211yescharacteristic
59C2×C4×D4×C43C2211yescharacteristic
60C2×C4×D4×C43C2211yescharacteristic
61C2×C4×D4×C43C2211yescharacteristic
62C2×C4×D4×C43C2211yescharacteristic
63C2×C4×D4×C43C2211yescharacteristic
64C2×C4×D4×C43C2211yescharacteristic
65C2×C4×D4×C43C2211yescharacteristic, complemented
66C2×C4×D4×C43C2211yescharacteristic, complemented
67C22×C4⋊C4×C43C2211yescharacteristic
68C22×C4⋊C4×C43C2211yescharacteristic, complemented
69C22×C4⋊C4×C43C2211yescharacteristic, complemented
70C22×C22⋊C4×C43C2211yescharacteristic
71C22×C22⋊C4×C43C2211yescharacteristic
72C22×C22⋊C4×C43C2211yescharacteristic
73C22×C22⋊C4×C43C2211yescharacteristic
74C22×C42×C43C2211yescharacteristic
75C43×#400C2211yescharacteristic, complemented
76C43×#399C2211yescharacteristic, complemented
77C43×#399C2211yescharacteristic, complemented
78C43×#399C2211yescharacteristic, complemented
79C43×#398C2211yescharacteristic, complemented
80C43×#398C2211yescharacteristic, complemented
81C43×#398C2211yescharacteristic, complemented
82C43×#398C2211yescharacteristic, complemented
83C43×#397C2211yescharacteristic, complemented
84C43×#397C2211yescharacteristic, complemented
85C43×#397C2211yescharacteristic, complemented
86C43×#397C2211yescharacteristic, complemented
87C43×#397C2211yescharacteristic, complemented
88C43×#397C2211yescharacteristic, complemented
89C43×#396C2211yescharacteristic, complemented
90C43×#396C2211yescharacteristic, complemented
91C43×#396C2211yescharacteristic, complemented
92C43×#396C2211yescharacteristic, complemented
93C43×#395C2211yescharacteristic, complemented
94C43×#394C2211yescharacteristic
95C43×#394C2211yescharacteristic
96C43×#394C2211yescharacteristic
97C43×#394C2211yescharacteristic
98C43×#394C2211yescharacteristic
99C43×#394C2211yescharacteristic
100C43×#394C2211yescharacteristic, complemented
101C43×#394C2211yescharacteristic, complemented
102C43×#394C2211yescharacteristic, complemented
103C43×#394C2211yescharacteristic, complemented
104C43×#393C2211yescharacteristic, complemented
105C43×#392C2211yescharacteristic
106C43×#392C2211yescharacteristic
107C43×#389C2211yescharacteristic, complemented
108C43×#389C2211yescharacteristic, complemented
109C43×#389C2211yescharacteristic, complemented
110C43×#389C2211yescharacteristic, complemented
111C43×#388C2211yescharacteristic, complemented
112C43×#388C2211yescharacteristic, complemented
113C43×#388C2211yescharacteristic, complemented
114C43×#388C2211yescharacteristic, complemented
115C43×#388C2211yescharacteristic, complemented
116C43×#388C2211yescharacteristic, complemented
117C43×#388C2211yescharacteristic, complemented
118C43×#388C2211yescharacteristic, complemented
119C43×#387C2211yescharacteristic, complemented
120C43×#387C2211yescharacteristic, complemented
121C43×#387C2211yescharacteristic, complemented
122C43×#387C2211yescharacteristic, complemented
123C43×#387C2211yescharacteristic, complemented
124C43×#387C2211yescharacteristic, complemented
125C43×#387C2211yescharacteristic, complemented
126C43×#387C2211yescharacteristic, complemented
127C43×#387C2211yescharacteristic, complemented
128C43×#387C2211yescharacteristic, complemented
129C43×#386C2211yescharacteristic
130C43×#386C2211yescharacteristic
131C43×#386C2211yescharacteristic
132C43×#386C2211yescharacteristic
133C43×#386C2211yescharacteristic
134C43×#386C2211yescharacteristic
135C43×#386C2211yescharacteristic
136C43×#386C2211yescharacteristic
137C43×#386C2211yescharacteristic, complemented
138C43×#386C2211yescharacteristic, complemented
139C43×#386C2211yescharacteristic, complemented
140C43×#386C2211yescharacteristic, complemented
141C43×#386C2211yescharacteristic, complemented
142C43×#386C2211yescharacteristic, complemented
143C43×#385C2211yescharacteristic
144C43×#385C2211yescharacteristic
145C43×#385C2211yescharacteristic
146C43×#385C2211yescharacteristic
147C43×#385C2211yescharacteristic
148C43×#385C2211yescharacteristic
149C43×#385C2211yescharacteristic
150C43×#385C2211yescharacteristic
151C43×#385C2211yescharacteristic
152C43×#385C2211yescharacteristic
153C43×#385C2211yescharacteristic, complemented
154C43×#385C2211yescharacteristic, complemented
155C43×#385C2211yescharacteristic, complemented
156C43×#385C2211yescharacteristic, complemented
157C43×#385C2211yescharacteristic, complemented
158C43×#385C2211yescharacteristic, complemented
159C43×#385C2211yescharacteristic, complemented
160C43×#385C2211yescharacteristic, complemented
161C43×#385C2211yescharacteristic, complemented
162C43×#385C2211yescharacteristic, complemented
163C43×#385C2211yescharacteristic, complemented
164C43×#385C2211yescharacteristic, complemented
165C43×#385C2211yescharacteristic, complemented
166C43×#385C2211yescharacteristic, complemented
167C43×#385C2211yescharacteristic, complemented
168C43×#385C2211yescharacteristic, complemented
169C43×#383C2211yescharacteristic, complemented
170C43×#382C2211yescharacteristic, complemented
171C43×#381C2211yescharacteristic, complemented
172C43×#381C2211yescharacteristic, complemented
173C43×#381C2211yescharacteristic, complemented
174C43×#380C2211yescharacteristic
175C43×#380C2211yescharacteristic
176C43×#380C2211yescharacteristic
177C43×#380C2211yescharacteristic, complemented
178C43×#380C2211yescharacteristic, complemented
179C43×#380C2211yescharacteristic, complemented
180C43×#379C2211yescharacteristic
181C43×#379C2211yescharacteristic
182C43×#379C2211yescharacteristic
183C43×#379C2211yescharacteristic
184C4×C22⋊C4×C43C2211yescharacteristic
185C4×C22⋊C4×C43C2211yescharacteristic, complemented
186C4×C22⋊C4×C43C2211yescharacteristic, complemented
187C2×#95×C43C2211yescharacteristic, complemented
188C2×#95×C43C2211yescharacteristic, complemented
189C25×C43C2311yescharacteristic
190C25×C43C2311yescharacteristic
191C22×Q8×C43C2311yescharacteristic
192C22×D4×C43—24no—
193C22×D4×C43—24no—
194C22×D4×C43—24no—
195C22×D4×C43C2311yescharacteristic
196C22×D4×C43C2311yescharacteristic
197C22×D4×C43C2311yescharacteristic
198C22×D4×C43C2311yescharacteristic
199C22×D4×C43C2311yescharacteristic
200C22×D4×C43C2311yescharacteristic
201C22×D4×C43C2311yescharacteristic
202C22×D4×C43C2311yescharacteristic
203C22×D4×C43C2311yescharacteristic
204C23×C4×C43—24no—
205C23×C4×C43—24no—
206C23×C4×C43—42no—
207C23×C4×C43—42no—
208C23×C4×C43—42no—
209C23×C4×C43—42no—
210C23×C4×C43C2311yescharacteristic
211C23×C4×C43C2311yescharacteristic
212C23×C4×C43C2311yescharacteristic
213C23×C4×C43C2311yescharacteristic
214C23×C4×C43C2311yescharacteristic
215C23×C4×C43C2311yescharacteristic
216C23×C4×C43C2311yescharacteristic
217C23×C4×C43C2311yescharacteristic
218C23×C4×C43C2311yescharacteristic
219C23×C4×C43C2311yescharacteristic
220C23×C4×C43C2311yescharacteristic
221C23×C4×C43C2311yescharacteristic
222C23×C4×C43C2311yescharacteristic
223C23×C4×C43C2311yescharacteristic
224C23×C4×C43C2311yescharacteristic
225C23×C4×C43C2311yescharacteristic
226C23×C4×C43C2311yescharacteristic
227C23×C4×C43C2311yescharacteristic
228#126×C43—24no—
229#126×C43—24no—
230#125×C43—24no—
231#125×C43—24no—
232#123×C43—24no—
233#123×C43—24no—
234#123×C43—24no—
235#123×C43—24no—
236#123×C43—24no—
237#123×C43—42no—
238C22⋊Q8×C43—24no—
239C22⋊Q8×C43—24no—
240C22⋊Q8×C43—24no—
241C22⋊Q8×C43—42no—
242C22⋊Q8×C43—42no—
243#121×C43—24no—
244#121×C43—24no—
245#120×C43—24no—
246#120×C43—42no—
247C4×D4×C43—24no—
248C4×D4×C43—24no—
249C4×D4×C43—24no—
250C4×D4×C43—24no—
251C4×D4×C43—24no—
252C4×D4×C43—24no—
253C4×D4×C43—24no—
254C4×D4×C43—24no—
255C4×D4×C43—42no—
256C4×D4×C43—42no—
257C4×D4×C43D418yescomplemented
258C2×C4⋊C4×C43—24no—
259C2×C4⋊C4×C43—24no—
260C2×C4⋊C4×C43—42no—
261C2×C4⋊C4×C43C2311yescharacteristic
262C2×C4⋊C4×C43C2311yescharacteristic
263C2×C4⋊C4×C43C2311yescharacteristic
264C2×C4⋊C4×C43C2311yescharacteristic
265C2×C4⋊C4×C43C2311yescharacteristic
266C2×C4⋊C4×C43C2311yescharacteristic
267C2×C4⋊C4×C43C2311yescharacteristic
268C2×C4⋊C4×C43C2311yescharacteristic
269C2×C4⋊C4×C43C2311yescharacteristic
270C2×C4⋊C4×C43C2311yescharacteristic
271C2×C4⋊C4×C43C2311yescharacteristic
272C2×C4⋊C4×C43C2311yescharacteristic
273C2×C4⋊C4×C43C2311yescharacteristic
274C2×C4⋊C4×C43C2311yescharacteristic
275C2×C4⋊C4×C43C2311yescharacteristic
276C2×C4⋊C4×C43C2311yescharacteristic
277C2×C4⋊C4×C43C2311yescharacteristic
278C2×C4⋊C4×C43C2311yescharacteristic
279C2×C4⋊C4×C43C2311yescharacteristic
280C2×C4⋊C4×C43C2311yescharacteristic
281C2×C4⋊C4×C43C2311yescharacteristic
282C2×C4⋊C4×C43C2311yescharacteristic
283C2×C4⋊C4×C43C2311yescharacteristic
284C2×C4⋊C4×C43C2311yescharacteristic
285C2×C4⋊C4×C43C2311yescharacteristic
286C2×C4⋊C4×C43C2311yescharacteristic
287C2×C4⋊C4×C43C2311yescharacteristic
288C2×C4⋊C4×C43C2311yescharacteristic
289C2×C4⋊C4×C43C2311yescharacteristic
290C2×C4⋊C4×C43C2311yescharacteristic
291C2×C4⋊C4×C43C2311yescharacteristic
292C2×C4⋊C4×C43C2311yescharacteristic
293C2×C4⋊C4×C43C2311yescharacteristic
294C2×C4⋊C4×C43C2311yescharacteristic
295C2×C22⋊C4×C43—24no—
296C2×C22⋊C4×C43—24no—
297C2×C22⋊C4×C43—24no—
298C2×C22⋊C4×C43—42no—
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×C22⋊C4×C43C2311yescharacteristic
309C2×C22⋊C4×C43C2311yescharacteristic
310C2×C22⋊C4×C43C2311yescharacteristic
311C2×C22⋊C4×C43C2311yescharacteristic
312C2×C22⋊C4×C43C2311yescharacteristic
313C2×C22⋊C4×C43C2311yescharacteristic
314C2×C22⋊C4×C43C2311yescharacteristic
315C2×C22⋊C4×C43C2311yescharacteristic
316C2×C22⋊C4×C43C2311yescharacteristic
317C2×C22⋊C4×C43C2311yescharacteristic
318C2×C22⋊C4×C43C2311yescharacteristic
319C2×C22⋊C4×C43C2311yescharacteristic
320C2×C22⋊C4×C43C2311yescharacteristic
321C2×C22⋊C4×C43C2311yescharacteristic
322C2×C22⋊C4×C43C2311yescharacteristic
323C2×C22⋊C4×C43C2311yescharacteristic
324C2×C22⋊C4×C43C2311yescharacteristic
325C2×C22⋊C4×C43C2311yescharacteristic
326C2×C22⋊C4×C43C2311yescharacteristic
327C2×C22⋊C4×C43C2311yescharacteristic
328C2×C22⋊C4×C43C2311yescharacteristic
329C2×C22⋊C4×C43C2311yescharacteristic
330C2×C22⋊C4×C43C2311yescharacteristic
331C2×C22⋊C4×C43C2311yescharacteristic
332C2×C22⋊C4×C43C2311yescharacteristic
333C2×C22⋊C4×C43C2311yescharacteristic
334C2×C22⋊C4×C43C2311yescharacteristic
335C2×C22⋊C4×C43C2311yescharacteristic
336C2×C22⋊C4×C43C2311yescharacteristic
337C2×C22⋊C4×C43C2311yescharacteristic
338C2×C22⋊C4×C43C2311yescharacteristic
339C2×C22⋊C4×C43C2311yescharacteristic
340C2×C22⋊C4×C43C2311yescharacteristic
341C2×C22⋊C4×C43C2311yescharacteristic
342C2×C22⋊C4×C43C2311yescharacteristic
343C2×C22⋊C4×C43C2311yescharacteristic
344C2×C22⋊C4×C43C2311yescharacteristic
345C2×C22⋊C4×C43C2311yescharacteristic
346C2×C22⋊C4×C43C2311yescharacteristic
347C2×C42×C43—24no—
348C2×C42×C43C2311yescharacteristic
349C2×C42×C43C2311yescharacteristic
350C2×C42×C43C2311yescharacteristic
351C2×C42×C43C2311yescharacteristic
352C2×C42×C43C2311yescharacteristic
353C2×C42×C43C2311yescharacteristic
354C2×C42×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
376#95×C43C2311yescharacteristic
377#95×C43C2311yescharacteristic
378#95×C43C2311yescharacteristic
379#95×C43C2311yescharacteristic
380#95×C43C2311yescharacteristic
381#95×C43C2311yescharacteristic
382#95×C43C2311yescharacteristic
383#95×C43C2311yescharacteristic
384#95×C43C2311yescharacteristic
385#95×C43C2311yescharacteristic
386#95×C43C2311yescharacteristic
387#95×C43C2311yescharacteristic
388#95×C43C2311yescharacteristic
389#95×C43C2311yescharacteristic
390#95×C43C2311yescharacteristic
391C24×C43—22no—
392C24×C43—22no—
393C24×C43—22no—
394C24×C43—22no—
395C24×C43—22no—
396C24×C43—22no—
397C24×C43—22no—
398C24×C43—22no—
399C24×C43—22no—
400C24×C43—41no—
401C24×C43—41no—
402C24×C43—41no—
403C24×C43—41no—
404C24×C43#4114yes—
405C24×C43C2411yescharacteristic
406C24×C43C2411yescharacteristic
407C24×C43C2411yescharacteristic
408C24×C43C2411yescharacteristic
409C24×C43C2411yescharacteristic
410C24×C43C2411yescharacteristic
411C2×Q8×C43—22no—
412C2×Q8×C43—41no—
413C2×Q8×C43—41no—
414C2×D4×C43—232no—
415C2×D4×C43—22no—
416C2×D4×C43—22no—
417C2×D4×C43—22no—
418C2×D4×C43—22no—
419C2×D4×C43—22no—
420C2×D4×C43—22no—
421C2×D4×C43—22no—
422C2×D4×C43—22no—
423C2×D4×C43—22no—
424C2×D4×C43—22no—
425C2×D4×C43—22no—
426C2×D4×C43—22no—
427C2×D4×C43—22no—
428C2×D4×C43—22no—
429C2×D4×C43—22no—
430C2×D4×C43—22no—
431C2×D4×C43—22no—
432C2×D4×C43—22no—
433C2×D4×C43—22no—
434C2×D4×C43—41no—
435C2×D4×C43—41no—
436C2×D4×C43—41no—
437C2×D4×C43—41no—
438C2×D4×C43—41no—
439C2×D4×C43—41no—
440C2×D4×C43C2×D414yes—
441C2×D4×C43#4114yes—
442C22×C4×C43—22no—
443C22×C4×C43—22no—
444C22×C4×C43—22no—
445C22×C4×C43—22no—
446C22×C4×C43—22no—
447C22×C4×C43—22no—
448C22×C4×C43—22no—
449C22×C4×C43—22no—
450C22×C4×C43—22no—
451C22×C4×C43—22no—
452C22×C4×C43—22no—
453C22×C4×C43—22no—
454C22×C4×C43—22no—
455C22×C4×C43—22no—
456C22×C4×C43—22no—
457C22×C4×C43—22no—
458C22×C4×C43—22no—
459C22×C4×C43—22no—
460C22×C4×C43—22no—
461C22×C4×C43—22no—
462C22×C4×C43—22no—
463C22×C4×C43—22no—
464C22×C4×C43—22no—
465C22×C4×C43—22no—
466C22×C4×C43—22no—
467C22×C4×C43—22no—
468C22×C4×C43—22no—
469C22×C4×C43—22no—
470C22×C4×C43—22no—
471C22×C4×C43—41no—
472C22×C4×C43—41no—
473C22×C4×C43—41no—
474C22×C4×C43—41no—
475C22×C4×C43—41no—
476C22×C4×C43—41no—
477C22×C4×C43—41no—
478C22×C4×C43—41no—
479C22×C4×C43—41no—
480C22×C4×C43—41no—
481C22×C4×C43—41no—
482C22×C4×C43—41no—
483C22×C4×C43—41no—
484C22×C4×C43—41no—
485C22×C4×C43—41no—
486C22×C4×C43—41no—
487C22×C4×C43—41no—
488C22×C4×C43—41no—
489C22×C4×C43—41no—
490C22×C4×C43—41no—
491C22×C4×C43—41no—
492C22×C4×C43—41no—
493C22×C4×C43—41no—
494C22×C4×C43—416no—
495C22×C4×C43—416no—
496C22×C4×C43C2×D414yes—
497C22×C4×C43C2×D414yes—
498C22×C4×C43C2411yescharacteristic
499C22×C4×C43C2411yescharacteristic
500C22×C4×C43C2411yescharacteristic
501C22×C4×C43C2411yescharacteristic
502C22×C4×C43C2411yescharacteristic
503C22×C4×C43C2411yescharacteristic
504C22×C4×C43C2411yescharacteristic
505C22×C4×C43C2411yescharacteristic
506C22×C4×C43C2411yescharacteristic
507C22×C4×C43C2411yescharacteristic
508C22×C4×C43C2411yescharacteristic
509C22×C4×C43C2411yescharacteristic
510C22×C4×C43C2411yescharacteristic
511C22×C4×C43C2411yescharacteristic
512C22×C4×C43C2411yescharacteristic
513C22×C4×C43C2411yescharacteristic
514C22×C4×C43C2411yescharacteristic
515C22×C4×C43C2411yescharacteristic
516C22×C4×C43C2411yescharacteristic
517C22×C4×C43C2411yescharacteristic
518C22×C4×C43C2411yescharacteristic
519C22×C4×C43C2411yescharacteristic
520C22×C4×C43C2411yescharacteristic
521C22×C4×C43C2411yescharacteristic
522C22×C4×C43C2411yescharacteristic
523C4⋊C4×C43—22no—
524C4⋊C4×C43—22no—
525C4⋊C4×C43—22no—
526C4⋊C4×C43—22no—
527C4⋊C4×C43—22no—
528C4⋊C4×C43—22no—
529C4⋊C4×C43—22no—
530C4⋊C4×C43—22no—
531C4⋊C4×C43—22no—
532C4⋊C4×C43—22no—
533C4⋊C4×C43—22no—
534C4⋊C4×C43—22no—
535C4⋊C4×C43—22no—
536C4⋊C4×C43—22no—
537C4⋊C4×C43—22no—
538C4⋊C4×C43—22no—
539C4⋊C4×C43—22no—
540C4⋊C4×C43—22no—
541C4⋊C4×C43—22no—
542C4⋊C4×C43—22no—
543C4⋊C4×C43—22no—
544C4⋊C4×C43—22no—
545C4⋊C4×C43—41no—
546C4⋊C4×C43—41no—
547C4⋊C4×C43—41no—
548C4⋊C4×C43—41no—
549C4⋊C4×C43—41no—
550C4⋊C4×C43—41no—
551C4⋊C4×C43—41no—
552C4⋊C4×C43—41no—
553C4⋊C4×C43—41no—
554C4⋊C4×C43—41no—
555C4⋊C4×C43—41no—
556C4⋊C4×C43C2×D414yes—
557C22⋊C4×C43—22no—
558C22⋊C4×C43—22no—
559C22⋊C4×C43—22no—
560C22⋊C4×C43—22no—
561C22⋊C4×C43—22no—
562C22⋊C4×C43—22no—
563C22⋊C4×C43—22no—
564C22⋊C4×C43—22no—
565C22⋊C4×C43—22no—
566C22⋊C4×C43—22no—
567C22⋊C4×C43—22no—
568C22⋊C4×C43—22no—
569C22⋊C4×C43—22no—
570C22⋊C4×C43—22no—
571C22⋊C4×C43—22no—
572C22⋊C4×C43—22no—
573C22⋊C4×C43—22no—
574C22⋊C4×C43—22no—
575C22⋊C4×C43—22no—
576C22⋊C4×C43—22no—
577C22⋊C4×C43—22no—
578C22⋊C4×C43—22no—
579C22⋊C4×C43—22no—
580C22⋊C4×C43—22no—
581C22⋊C4×C43—22no—
582C22⋊C4×C43—22no—
583C22⋊C4×C43—22no—
584C22⋊C4×C43—22no—
585C22⋊C4×C43—22no—
586C22⋊C4×C43—22no—
587C22⋊C4×C43—22no—
588C22⋊C4×C43—41no—
589C22⋊C4×C43—41no—
590C22⋊C4×C43—41no—
591C22⋊C4×C43—41no—
592C22⋊C4×C43—41no—
593C22⋊C4×C43—41no—
594C22⋊C4×C43—41no—
595C22⋊C4×C43—41no—
596C22⋊C4×C43—41no—
597C22⋊C4×C43—41no—
598C22⋊C4×C43—41no—
599C22⋊C4×C43—41no—
600C22⋊C4×C43—41no—
601C22⋊C4×C43—41no—
602C22⋊C4×C43—41no—
603C22⋊C4×C43C2×D414yes—
604C22⋊C4×C43C2×D414yes—
605C42×C43—22no—
606C42×C43—22no—
607C42×C43—22no—
608C42×C43—22no—
609C42×C43—41no—
610C42×C43—41no—
611C42×C43C2×D414yes—
612C23×C43—21no—
613C23×C43—21no—
614C23×C43—21no—
615C23×C43—21no—
616C23×C43—21no—
617C23×C43—21no—
618C23×C43—21no—
619C23×C43—21no—
620C23×C43—28no—
621C23×C43—28no—
622C23×C43—28no—
623C23×C43—21no—
624C23×C43—21no—
625C23×C43—21no—
626C23×C43—21no—
627C23×C43—21no—
628C23×C43—21no—
629C23×C43—21no—
630C23×C43—21no—
631C23×C43—21no—
632C23×C43—21no—
633C23×C43—21no—
634C23×C43—21no—
635C23×C43—21no—
636C23×C43—21no—
637C23×C43—21no—
638C23×C43—21no—
639C23×C43—21no—
640C23×C43—21no—
641C23×C43—21no—
642C23×C43—21no—
643C23×C43—21no—
644C23×C43—21no—
645C23×C43—21no—
646C23×C43—21no—
647C23×C43—21no—
648C23×C43—44no—
649C23×C43—44no—
650C23×C43—44no—
651C23×C43—44no—
652C23×C43—44no—
653C23×C43—44no—
654C23×C43—44no—
655C23×C43—44no—
656C23×C43—44no—
657C23×C43—44no—
658C23×C43—44no—
659C23×C43C22×D412yes—
660C23×C43C22×D412yes—
661C23×C43C2×#4112yes—
662C23×C43C2×#4112yes—
663C23×C43C2×#4112yes—
664C23×C43C2×#4112yes—
665C23×C43C2×#4112yes—
666C23×C43H(5,𝔽2)12yes—
667C23×C432−1+412yes—
668C23×C43C2511yescharacteristic
669Q8×C43—82no—
670D4×C43—28no—
671D4×C43—28no—
672D4×C43—28no—
673D4×C43—28no—
674D4×C43—44no—
675D4×C43—44no—
676D4×C43—44no—
677D4×C43—82no—
678D4×C43—82no—
679C2×C4×C43—28no—
680C2×C4×C43—28no—
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—21no—
690C2×C4×C43—21no—
691C2×C4×C43—21no—
692C2×C4×C43—21no—
693C2×C4×C43—21no—
694C2×C4×C43—21no—
695C2×C4×C43—21no—
696C2×C4×C43—21no—
697C2×C4×C43—21no—
698C2×C4×C43—21no—
699C2×C4×C43—21no—
700C2×C4×C43—21no—
701C2×C4×C43—21no—
702C2×C4×C43—21no—
703C2×C4×C43—21no—
704C2×C4×C43—21no—
705C2×C4×C43—21no—
706C2×C4×C43—21no—
707C2×C4×C43—21no—
708C2×C4×C43—21no—
709C2×C4×C43—21no—
710C2×C4×C43—21no—
711C2×C4×C43—21no—
712C2×C4×C43—21no—
713C2×C4×C43—21no—
714C2×C4×C43—21no—
715C2×C4×C43—21no—
716C2×C4×C43—21no—
717C2×C4×C43—21no—
718C2×C4×C43—21no—
719C2×C4×C43—21no—
720C2×C4×C43—21no—
721C2×C4×C43—21no—
722C2×C4×C43—21no—
723C2×C4×C43—21no—
724C2×C4×C43—21no—
725C2×C4×C43—21no—
726C2×C4×C43—21no—
727C2×C4×C43—21no—
728C2×C4×C43—21no—
729C2×C4×C43—21no—
730C2×C4×C43—21no—
731C2×C4×C43—21no—
732C2×C4×C43—21no—
733C2×C4×C43—21no—
734C2×C4×C43—21no—
735C2×C4×C43—21no—
736C2×C4×C43—21no—
737C2×C4×C43—21no—
738C2×C4×C43—21no—
739C2×C4×C43—21no—
740C2×C4×C43—21no—
741C2×C4×C43—21no—
742C2×C4×C43—21no—
743C2×C4×C43—21no—
744C2×C4×C43—21no—
745C2×C4×C43—21no—
746C2×C4×C43—21no—
747C2×C4×C43—21no—
748C2×C4×C43—21no—
749C2×C4×C43—44no—
750C2×C4×C43—44no—
751C2×C4×C43—44no—
752C2×C4×C43—44no—
753C2×C4×C43—44no—
754C2×C4×C43—44no—
755C2×C4×C43—44no—
756C2×C4×C43—44no—
757C2×C4×C43—44no—
758C2×C4×C43—44no—
759C2×C4×C43—44no—
760C2×C4×C43—44no—
761C2×C4×C43—44no—
762C2×C4×C43—82no—
763C2×C4×C43—82no—
764C2×C4×C43—82no—
765C2×C4×C43C22×D412yes—
766C2×C4×C43C22×D412yes—
767C2×C4×C43C22×D412yes—
768C2×C4×C43C22×D412yes—
769C2×C4×C43C22×D412yes—
770C2×C4×C43C2×#4112yes—
771C2×C4×C43H(5,𝔽2)12yes—
772#34991C4311yesmaximal, characteristic, direct product factor, Sylow
773C22×C43—22no—
774C22×C43—22no—
775C22×C43—22no—
776C22×C43—22no—
777C22×C43—22no—
778C22×C43—22no—
779C22×C43—22no—
780C22×C43—22no—
781C22×C43—22no—
782C22×C43—22no—
783C22×C43—22no—
784C22×C43—22no—
785C22×C43—22no—
786C22×C43—22no—
787C22×C43—22no—
788C22×C43—22no—
789C22×C43—22no—
790C22×C43—22no—
791C22×C43—22no—
792C22×C43—22no—
793C22×C43—22no—
794C22×C43—416no—
795C22×C43—416no—
796C22×C43—41no—
797C22×C43—41no—
798C22×C43—41no—
799C22×C43—41no—
800C22×C43—41no—
801C22×C43—41no—
802C22×C43—41no—
803C22×C43—41no—
804C22×C43—41no—
805C22×C43—41no—
806C22×C43—41no—
807C22×C43—41no—
808C22×C43—41no—
809C22×C43—41no—
810C22×C43—41no—
811C22×C43—41no—
812C22×C43—41no—
813C22×C43—41no—
814C22×C43—41no—
815C22×C43#52514yes—
816C22×C43#53914yescomplemented
817C22×C43C23×D411yescharacteristic
818C22×C43C22×#4111yescharacteristic
819C22×C43C22×#4111yescharacteristic
820C22×C43C2×H(5,𝔽2)11yescharacteristic
821C22×C43C2×H(5,𝔽2)11yescharacteristic
822C22×C43C2×2−1+411yescharacteristic
823C22×C43#58511yescharacteristic
824C4×C43—22no—
825C4×C43—22no—
826C4×C43—22no—
827C4×C43—22no—
828C4×C43—22no—
829C4×C43—22no—
830C4×C43—22no—
831C4×C43—41no—
832C4×C43—41no—
833C4×C43—41no—
834C4×C43—41no—
835C4×C43—41no—
836C4×C43—41no—
837C4×C43—41no—
838C4×C43—41no—
839C4×C43—41no—
840C4×C43—41no—
841C4×C43—41no—
842C4×C43—41no—
843C4×C43—41no—
844C4×C43—41no—
845C4×C43—41no—
846C4×C43—41no—
847C4×C43—41no—
848C4×C43—41no—
849C2×#539C2×C4311yescharacteristic, complemented
850C22×C4×D4C2×C4311yescharacteristic, complemented
851#2852C2×C4311yescharacteristic, complemented
852#2851C2×C4311yescharacteristic, complemented
853#2849C2×C4311yescharacteristic, complemented
854#2848C2×C4311yescharacteristic, complemented
855#2638C2×C4311yescharacteristic, complemented
856#2636C2×C4311yescharacteristic, complemented
857#2633C2×C4311yescharacteristic, complemented
858#2630C2×C4311yescharacteristic, complemented
859#2480C2×C4311yescharacteristic, complemented
860#2473C2×C4311yescharacteristic, complemented
861#2466C2×C4311yescharacteristic, complemented
862#2463C2×C4311yescharacteristic, complemented
863#2460C2×C4311yescharacteristic, complemented
864#2455C2×C4311yescharacteristic, complemented
865#2449C2×C4311yescharacteristic, complemented
866#2449C2×C4311yescharacteristic, complemented
867#2443C2×C4311yescharacteristic, complemented
868#2437C2×C4311yescharacteristic, complemented
869#2425C2×C4311yescharacteristic, complemented
870#2419C2×C4311yescharacteristic, complemented
871#2418C2×C4311yescharacteristic, complemented
872#2412C2×C4311yescharacteristic, complemented
873#2410C2×C4311yescharacteristic
874#2405C2×C4311yescharacteristic, complemented
875#2325C2×C4311yescharacteristic, complemented
876#2322C2×C4311yescharacteristic, complemented
877#2318C2×C4311yescharacteristic, complemented
878C4×#120C2×C4311yescharacteristic, complemented
879C2×#385C2×C4311yescharacteristic, complemented
880C2×C43—24no—
881C2×C43—24no—
882C2×C43—42no—
883C2×C43—42no—
884C2×C43—42no—
885C2×C43—81no—
886C2×C43C2×#52511yescharacteristic
887C2×C43C2×#53911yescharacteristic
888C2×C43#345911yescharacteristic
889C2×C43#348411yescharacteristic
890C2×C43#348911yescharacteristic
891C2×C43#351311yescharacteristic
892C2×C43#352011yescharacteristic
893C23×D4C22×C4311yescharacteristic
894C24×C4C22×C4311yescharacteristic
895C24×C4C22×C4311yescharacteristic
896#539—28no—
897C2×#126C22×C4311yescharacteristic, complemented
898C2×#126C22×C4311yescharacteristic, complemented
899C2×#125C22×C4311yescharacteristic, complemented
900C2×#125C22×C4311yescharacteristic, complemented
901C2×#123C22×C4311yescharacteristic
902C2×#123C22×C4311yescharacteristic
903C2×#123C22×C4311yescharacteristic, complemented
904C2×#123C22×C4311yescharacteristic, complemented
905C2×#123C22×C4311yescharacteristic, complemented
906C2×#123C22×C4311yescharacteristic, complemented
907C2×C22⋊Q8C22×C4311yescharacteristic
908C2×C22⋊Q8C22×C4311yescharacteristic, complemented
909C2×C22⋊Q8C22×C4311yescharacteristic, complemented
910C2×C22⋊Q8C22×C4311yescharacteristic, complemented
911C2×C22⋊Q8C22×C4311yescharacteristic, complemented
912C2×#121C22×C4311yescharacteristic
913C2×#121C22×C4311yescharacteristic
914C2×#120C22×C4311yescharacteristic
915C2×#120C22×C4311yescharacteristic
916C2×C4×D4—28no—
917C2×C4×D4C22×C4311yescharacteristic
918C2×C4×D4C22×C4311yescharacteristic
919C2×C4×D4C22×C4311yescharacteristic
920C2×C4×D4C22×C4311yescharacteristic
921C2×C4×D4C22×C4311yescharacteristic
922C2×C4×D4C22×C4311yescharacteristic
923C2×C4×D4C22×C4311yescharacteristic
924C2×C4×D4C22×C4311yescharacteristic
925C2×C4×D4C22×C4311yescharacteristic
926C2×C4×D4C22×C4311yescharacteristic, complemented
927C2×C4×D4C22×C4311yescharacteristic, complemented
928C22×C4⋊C4C22×C4311yescharacteristic
929C22×C4⋊C4C22×C4311yescharacteristic, complemented
930C22×C4⋊C4C22×C4311yescharacteristic, complemented
931C22×C22⋊C4C22×C4311yescharacteristic
932C22×C22⋊C4C22×C4311yescharacteristic
933C22×C22⋊C4C22×C4311yescharacteristic
934C22×C22⋊C4C22×C4311yescharacteristic
935C22×C42C22×C4311yescharacteristic
936#400C22×C4311yescharacteristic, complemented
937#399C22×C4311yescharacteristic, complemented
938#399C22×C4311yescharacteristic, complemented
939#399C22×C4311yescharacteristic, complemented
940#398C22×C4311yescharacteristic, complemented
941#398C22×C4311yescharacteristic, complemented
942#398C22×C4311yescharacteristic, complemented
943#398C22×C4311yescharacteristic, complemented
944#397C22×C4311yescharacteristic, complemented
945#397C22×C4311yescharacteristic, complemented
946#397C22×C4311yescharacteristic, complemented
947#397C22×C4311yescharacteristic, complemented
948#397C22×C4311yescharacteristic, complemented
949#397C22×C4311yescharacteristic, complemented
950#396C22×C4311yescharacteristic, complemented
951#396C22×C4311yescharacteristic, complemented
952#396C22×C4311yescharacteristic, complemented
953#396C22×C4311yescharacteristic, complemented
954#395C22×C4311yescharacteristic, complemented
955#394C22×C4311yescharacteristic
956#394C22×C4311yescharacteristic
957#394C22×C4311yescharacteristic
958#394C22×C4311yescharacteristic
959#394C22×C4311yescharacteristic
960#394C22×C4311yescharacteristic
961#394C22×C4311yescharacteristic, complemented
962#394C22×C4311yescharacteristic, complemented
963#394C22×C4311yescharacteristic, complemented
964#394C22×C4311yescharacteristic, complemented
965#393C22×C4311yescharacteristic, complemented
966#392C22×C4311yescharacteristic
967#392C22×C4311yescharacteristic
968#389C22×C4311yescharacteristic, complemented
969#389C22×C4311yescharacteristic, complemented
970#389C22×C4311yescharacteristic, complemented
971#389C22×C4311yescharacteristic, complemented
972#388C22×C4311yescharacteristic, complemented
973#388C22×C4311yescharacteristic, complemented
974#388C22×C4311yescharacteristic, complemented
975#388C22×C4311yescharacteristic, complemented
976#388C22×C4311yescharacteristic, complemented
977#388C22×C4311yescharacteristic, complemented
978#388C22×C4311yescharacteristic, complemented
979#388C22×C4311yescharacteristic, complemented
980#387C22×C4311yescharacteristic, complemented
981#387C22×C4311yescharacteristic, complemented
982#387C22×C4311yescharacteristic, complemented
983#387C22×C4311yescharacteristic, complemented
984#387C22×C4311yescharacteristic, complemented
985#387C22×C4311yescharacteristic, complemented
986#387C22×C4311yescharacteristic, complemented
987#387C22×C4311yescharacteristic, complemented
988#387C22×C4311yescharacteristic, complemented
989#387C22×C4311yescharacteristic, complemented
990#386C22×C4311yescharacteristic
991#386C22×C4311yescharacteristic
992#386C22×C4311yescharacteristic
993#386C22×C4311yescharacteristic
994#386C22×C4311yescharacteristic
995#386C22×C4311yescharacteristic
996#386C22×C4311yescharacteristic
997#386C22×C4311yescharacteristic
998#386C22×C4311yescharacteristic, complemented
999#386C22×C4311yescharacteristic, complemented
1000#386C22×C4311yescharacteristic, complemented
1001#386C22×C4311yescharacteristic, complemented
1002#386C22×C4311yescharacteristic, complemented
1003#386C22×C4311yescharacteristic, complemented
1004#385C22×C4311yescharacteristic
1005#385C22×C4311yescharacteristic
1006#385C22×C4311yescharacteristic
1007#385C22×C4311yescharacteristic
1008#385C22×C4311yescharacteristic
1009#385C22×C4311yescharacteristic
1010#385C22×C4311yescharacteristic
1011#385C22×C4311yescharacteristic
1012#385C22×C4311yescharacteristic
1013#385C22×C4311yescharacteristic
1014#385C22×C4311yescharacteristic, complemented
1015#385C22×C4311yescharacteristic, complemented
1016#385C22×C4311yescharacteristic, complemented
1017#385C22×C4311yescharacteristic, complemented
1018#385C22×C4311yescharacteristic, complemented
1019#385C22×C4311yescharacteristic, complemented
1020#385C22×C4311yescharacteristic, complemented
1021#385C22×C4311yescharacteristic, complemented
1022#385C22×C4311yescharacteristic, complemented
1023#385C22×C4311yescharacteristic, complemented
1024#385C22×C4311yescharacteristic, complemented
1025#385C22×C4311yescharacteristic, complemented
1026#385C22×C4311yescharacteristic, complemented
1027#385C22×C4311yescharacteristic, complemented
1028#385C22×C4311yescharacteristic, complemented
1029#385C22×C4311yescharacteristic, complemented
1030#383C22×C4311yescharacteristic, complemented
1031#382C22×C4311yescharacteristic, complemented
1032#381C22×C4311yescharacteristic, complemented
1033#381C22×C4311yescharacteristic, complemented
1034#381C22×C4311yescharacteristic, complemented
1035#380C22×C4311yescharacteristic
1036#380C22×C4311yescharacteristic
1037#380C22×C4311yescharacteristic
1038#380C22×C4311yescharacteristic, complemented
1039#380C22×C4311yescharacteristic, complemented
1040#380C22×C4311yescharacteristic, complemented
1041#379C22×C4311yescharacteristic
1042#379C22×C4311yescharacteristic
1043#379C22×C4311yescharacteristic
1044#379C22×C4311yescharacteristic
1045C4×C22⋊C4C22×C4311yescharacteristic
1046C4×C22⋊C4C22×C4311yescharacteristic, complemented
1047C4×C22⋊C4C22×C4311yescharacteristic, complemented
1048C2×#95C22×C4311yescharacteristic, complemented
1049C2×#95C22×C4311yescharacteristic, complemented
1050C43#3499111yescharacteristic, direct product factor, Sylow
1051C25C23×C4311yescharacteristic
1052C25C23×C4311yescharacteristic
1053C22×Q8C23×C4311yescharacteristic
1054C22×D4—24no—
1055C22×D4—24no—
1056C22×D4—24no—
1057C22×D4C23×C4311yescharacteristic
1058C22×D4C23×C4311yescharacteristic
1059C22×D4C23×C4311yescharacteristic
1060C22×D4C23×C4311yescharacteristic
1061C22×D4C23×C4311yescharacteristic
1062C22×D4C23×C4311yescharacteristic
1063C22×D4C23×C4311yescharacteristic
1064C22×D4C23×C4311yescharacteristic
1065C22×D4C23×C4311yescharacteristic
1066C23×C4—24no—
1067C23×C4—24no—
1068C23×C4—42no—
1069C23×C4—42no—
1070C23×C4—42no—
1071C23×C4—42no—
1072C23×C4C23×C4311yescharacteristic
1073C23×C4C23×C4311yescharacteristic
1074C23×C4C23×C4311yescharacteristic
1075C23×C4C23×C4311yescharacteristic
1076C23×C4C23×C4311yescharacteristic
1077C23×C4C23×C4311yescharacteristic
1078C23×C4C23×C4311yescharacteristic
1079C23×C4C23×C4311yescharacteristic
1080C23×C4C23×C4311yescharacteristic
1081C23×C4C23×C4311yescharacteristic
1082C23×C4C23×C4311yescharacteristic
1083C23×C4C23×C4311yescharacteristic
1084C23×C4C23×C4311yescharacteristic
1085C23×C4C23×C4311yescharacteristic
1086C23×C4C23×C4311yescharacteristic
1087C23×C4C23×C4311yescharacteristic
1088C23×C4C23×C4311yescharacteristic
1089C23×C4C23×C4311yescharacteristic
1090#126—24no—
1091#126—24no—
1092#125—24no—
1093#125—24no—
1094#123—24no—
1095#123—24no—
1096#123—24no—
1097#123—24no—
1098#123—24no—
1099#123—42no—
1100C22⋊Q8—24no—
1101C22⋊Q8—24no—
1102C22⋊Q8—24no—
1103C22⋊Q8—42no—
1104C22⋊Q8—42no—
1105#121—24no—
1106#121—24no—
1107#120—24no—
1108#120—42no—
1109C4×D4—24no—
1110C4×D4—24no—
1111C4×D4—24no—
1112C4×D4—24no—
1113C4×D4—24no—
1114C4×D4—24no—
1115C4×D4—24no—
1116C4×D4—24no—
1117C4×D4—42no—
1118C4×D4—42no—
1119C4×D4D4×C4318yescomplemented
1120C2×C4⋊C4—24no—
1121C2×C4⋊C4—24no—
1122C2×C4⋊C4—42no—
1123C2×C4⋊C4C23×C4311yescharacteristic
1124C2×C4⋊C4C23×C4311yescharacteristic
1125C2×C4⋊C4C23×C4311yescharacteristic
1126C2×C4⋊C4C23×C4311yescharacteristic
1127C2×C4⋊C4C23×C4311yescharacteristic
1128C2×C4⋊C4C23×C4311yescharacteristic
1129C2×C4⋊C4C23×C4311yescharacteristic
1130C2×C4⋊C4C23×C4311yescharacteristic
1131C2×C4⋊C4C23×C4311yescharacteristic
1132C2×C4⋊C4C23×C4311yescharacteristic
1133C2×C4⋊C4C23×C4311yescharacteristic
1134C2×C4⋊C4C23×C4311yescharacteristic
1135C2×C4⋊C4C23×C4311yescharacteristic
1136C2×C4⋊C4C23×C4311yescharacteristic
1137C2×C4⋊C4C23×C4311yescharacteristic
1138C2×C4⋊C4C23×C4311yescharacteristic
1139C2×C4⋊C4C23×C4311yescharacteristic
1140C2×C4⋊C4C23×C4311yescharacteristic
1141C2×C4⋊C4C23×C4311yescharacteristic
1142C2×C4⋊C4C23×C4311yescharacteristic
1143C2×C4⋊C4C23×C4311yescharacteristic
1144C2×C4⋊C4C23×C4311yescharacteristic
1145C2×C4⋊C4C23×C4311yescharacteristic
1146C2×C4⋊C4C23×C4311yescharacteristic
1147C2×C4⋊C4C23×C4311yescharacteristic
1148C2×C4⋊C4C23×C4311yescharacteristic
1149C2×C4⋊C4C23×C4311yescharacteristic
1150C2×C4⋊C4C23×C4311yescharacteristic
1151C2×C4⋊C4C23×C4311yescharacteristic
1152C2×C4⋊C4C23×C4311yescharacteristic
1153C2×C4⋊C4C23×C4311yescharacteristic
1154C2×C4⋊C4C23×C4311yescharacteristic
1155C2×C4⋊C4C23×C4311yescharacteristic
1156C2×C4⋊C4C23×C4311yescharacteristic
1157C2×C22⋊C4—24no—
1158C2×C22⋊C4—24no—
1159C2×C22⋊C4—24no—
1160C2×C22⋊C4—42no—
1161C2×C22⋊C4C23×C4311yescharacteristic
1162C2×C22⋊C4C23×C4311yescharacteristic
1163C2×C22⋊C4C23×C4311yescharacteristic
1164C2×C22⋊C4C23×C4311yescharacteristic
1165C2×C22⋊C4C23×C4311yescharacteristic
1166C2×C22⋊C4C23×C4311yescharacteristic
1167C2×C22⋊C4C23×C4311yescharacteristic
1168C2×C22⋊C4C23×C4311yescharacteristic
1169C2×C22⋊C4C23×C4311yescharacteristic
1170C2×C22⋊C4C23×C4311yescharacteristic
1171C2×C22⋊C4C23×C4311yescharacteristic
1172C2×C22⋊C4C23×C4311yescharacteristic
1173C2×C22⋊C4C23×C4311yescharacteristic
1174C2×C22⋊C4C23×C4311yescharacteristic
1175C2×C22⋊C4C23×C4311yescharacteristic
1176C2×C22⋊C4C23×C4311yescharacteristic
1177C2×C22⋊C4C23×C4311yescharacteristic
1178C2×C22⋊C4C23×C4311yescharacteristic
1179C2×C22⋊C4C23×C4311yescharacteristic
1180C2×C22⋊C4C23×C4311yescharacteristic
1181C2×C22⋊C4C23×C4311yescharacteristic
1182C2×C22⋊C4C23×C4311yescharacteristic
1183C2×C22⋊C4C23×C4311yescharacteristic
1184C2×C22⋊C4C23×C4311yescharacteristic
1185C2×C22⋊C4C23×C4311yescharacteristic
1186C2×C22⋊C4C23×C4311yescharacteristic
1187C2×C22⋊C4C23×C4311yescharacteristic
1188C2×C22⋊C4C23×C4311yescharacteristic
1189C2×C22⋊C4C23×C4311yescharacteristic
1190C2×C22⋊C4C23×C4311yescharacteristic
1191C2×C22⋊C4C23×C4311yescharacteristic
1192C2×C22⋊C4C23×C4311yescharacteristic
1193C2×C22⋊C4C23×C4311yescharacteristic
1194C2×C22⋊C4C23×C4311yescharacteristic
1195C2×C22⋊C4C23×C4311yescharacteristic
1196C2×C22⋊C4C23×C4311yescharacteristic
1197C2×C22⋊C4C23×C4311yescharacteristic
1198C2×C22⋊C4C23×C4311yescharacteristic
1199C2×C22⋊C4C23×C4311yescharacteristic
1200C2×C22⋊C4C23×C4311yescharacteristic
1201C2×C22⋊C4C23×C4311yescharacteristic
1202C2×C22⋊C4C23×C4311yescharacteristic
1203C2×C22⋊C4C23×C4311yescharacteristic
1204C2×C22⋊C4C23×C4311yescharacteristic
1205C2×C22⋊C4C23×C4311yescharacteristic
1206C2×C22⋊C4C23×C4311yescharacteristic
1207C2×C22⋊C4C23×C4311yescharacteristic
1208C2×C22⋊C4C23×C4311yescharacteristic
1209C2×C42—24no—
1210C2×C42C23×C4311yescharacteristic
1211C2×C42C23×C4311yescharacteristic
1212C2×C42C23×C4311yescharacteristic
1213C2×C42C23×C4311yescharacteristic
1214C2×C42C23×C4311yescharacteristic
1215C2×C42C23×C4311yescharacteristic
1216C2×C42C23×C4311yescharacteristic
1217#95C23×C4311yescharacteristic
1218#95C23×C4311yescharacteristic
1219#95C23×C4311yescharacteristic
1220#95C23×C4311yescharacteristic
1221#95C23×C4311yescharacteristic
1222#95C23×C4311yescharacteristic
1223#95C23×C4311yescharacteristic
1224#95C23×C4311yescharacteristic
1225#95C23×C4311yescharacteristic
1226#95C23×C4311yescharacteristic
1227#95C23×C4311yescharacteristic
1228#95C23×C4311yescharacteristic
1229#95C23×C4311yescharacteristic
1230#95C23×C4311yescharacteristic
1231#95C23×C4311yescharacteristic
1232#95C23×C4311yescharacteristic
1233#95C23×C4311yescharacteristic
1234#95C23×C4311yescharacteristic
1235#95C23×C4311yescharacteristic
1236#95C23×C4311yescharacteristic
1237#95C23×C4311yescharacteristic
1238#95C23×C4311yescharacteristic
1239#95C23×C4311yescharacteristic
1240#95C23×C4311yescharacteristic
1241#95C23×C4311yescharacteristic
1242#95C23×C4311yescharacteristic
1243#95C23×C4311yescharacteristic
1244#95C23×C4311yescharacteristic
1245#95C23×C4311yescharacteristic
1246#95C23×C4311yescharacteristic
1247#95C23×C4311yescharacteristic
1248#95C23×C4311yescharacteristic
1249#95C23×C4311yescharacteristic
1250#95C23×C4311yescharacteristic
1251#95C23×C4311yescharacteristic
1252#95C23×C4311yescharacteristic
1253C24—22no—
1254C24—22no—
1255C24—22no—
1256C24—22no—
1257C24—22no—
1258C24—22no—
1259C24—22no—
1260C24—22no—
1261C24—22no—
1262C24—41no—
1263C24—41no—
1264C24—41no—
1265C24—41no—
1266C24#41×C4314yes—
1267C24C24×C4311yescharacteristic
1268C24C24×C4311yescharacteristic
1269C24C24×C4311yescharacteristic
1270C24C24×C4311yescharacteristic
1271C24C24×C4311yescharacteristic
1272C24C24×C4311yescharacteristic
1273C2×Q8—22no—
1274C2×Q8—41no—
1275C2×Q8—41no—
1276C2×D4—232no—
1277C2×D4—22no—
1278C2×D4—22no—
1279C2×D4—22no—
1280C2×D4—22no—
1281C2×D4—22no—
1282C2×D4—22no—
1283C2×D4—22no—
1284C2×D4—22no—
1285C2×D4—22no—
1286C2×D4—22no—
1287C2×D4—22no—
1288C2×D4—22no—
1289C2×D4—22no—
1290C2×D4—22no—
1291C2×D4—22no—
1292C2×D4—22no—
1293C2×D4—22no—
1294C2×D4—22no—
1295C2×D4—22no—
1296C2×D4—41no—
1297C2×D4—41no—
1298C2×D4—41no—
1299C2×D4—41no—
1300C2×D4—41no—
1301C2×D4—41no—
1302C2×D4C2×D4×C4314yes—
1303C2×D4#41×C4314yes—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—22no—
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—22no—
1328C22×C4—22no—
1329C22×C4—22no—
1330C22×C4—22no—
1331C22×C4—22no—
1332C22×C4—22no—
1333C22×C4—41no—
1334C22×C4—41no—
1335C22×C4—41no—
1336C22×C4—41no—
1337C22×C4—41no—
1338C22×C4—41no—
1339C22×C4—41no—
1340C22×C4—41no—
1341C22×C4—41no—
1342C22×C4—41no—
1343C22×C4—41no—
1344C22×C4—41no—
1345C22×C4—41no—
1346C22×C4—41no—
1347C22×C4—41no—
1348C22×C4—41no—
1349C22×C4—41no—
1350C22×C4—41no—
1351C22×C4—41no—
1352C22×C4—41no—
1353C22×C4—41no—
1354C22×C4—41no—
1355C22×C4—41no—
1356C22×C4—416no—
1357C22×C4—416no—
1358C22×C4C2×D4×C4314yes—
1359C22×C4C2×D4×C4314yes—
1360C22×C4C24×C4311yescharacteristic
1361C22×C4C24×C4311yescharacteristic
1362C22×C4C24×C4311yescharacteristic
1363C22×C4C24×C4311yescharacteristic
1364C22×C4C24×C4311yescharacteristic
1365C22×C4C24×C4311yescharacteristic
1366C22×C4C24×C4311yescharacteristic
1367C22×C4C24×C4311yescharacteristic
1368C22×C4C24×C4311yescharacteristic
1369C22×C4C24×C4311yescharacteristic
1370C22×C4C24×C4311yescharacteristic
1371C22×C4C24×C4311yescharacteristic
1372C22×C4C24×C4311yescharacteristic
1373C22×C4C24×C4311yescharacteristic
1374C22×C4C24×C4311yescharacteristic
1375C22×C4C24×C4311yescharacteristic
1376C22×C4C24×C4311yescharacteristic
1377C22×C4C24×C4311yescharacteristic
1378C22×C4C24×C4311yescharacteristic
1379C22×C4C24×C4311yescharacteristic
1380C22×C4C24×C4311yescharacteristic
1381C22×C4C24×C4311yescharacteristic
1382C22×C4C24×C4311yescharacteristic
1383C22×C4C24×C4311yescharacteristic
1384C22×C4C24×C4311yescharacteristic
1385C4⋊C4—22no—
1386C4⋊C4—22no—
1387C4⋊C4—22no—
1388C4⋊C4—22no—
1389C4⋊C4—22no—
1390C4⋊C4—22no—
1391C4⋊C4—22no—
1392C4⋊C4—22no—
1393C4⋊C4—22no—
1394C4⋊C4—22no—
1395C4⋊C4—22no—
1396C4⋊C4—22no—
1397C4⋊C4—22no—
1398C4⋊C4—22no—
1399C4⋊C4—22no—
1400C4⋊C4—22no—
1401C4⋊C4—22no—
1402C4⋊C4—22no—
1403C4⋊C4—22no—
1404C4⋊C4—22no—
1405C4⋊C4—22no—
1406C4⋊C4—22no—
1407C4⋊C4—41no—
1408C4⋊C4—41no—
1409C4⋊C4—41no—
1410C4⋊C4—41no—
1411C4⋊C4—41no—
1412C4⋊C4—41no—
1413C4⋊C4—41no—
1414C4⋊C4—41no—
1415C4⋊C4—41no—
1416C4⋊C4—41no—
1417C4⋊C4—41no—
1418C4⋊C4C2×D4×C4314yes—
1419C22⋊C4—22no—
1420C22⋊C4—22no—
1421C22⋊C4—22no—
1422C22⋊C4—22no—
1423C22⋊C4—22no—
1424C22⋊C4—22no—
1425C22⋊C4—22no—
1426C22⋊C4—22no—
1427C22⋊C4—22no—
1428C22⋊C4—22no—
1429C22⋊C4—22no—
1430C22⋊C4—22no—
1431C22⋊C4—22no—
1432C22⋊C4—22no—
1433C22⋊C4—22no—
1434C22⋊C4—22no—
1435C22⋊C4—22no—
1436C22⋊C4—22no—
1437C22⋊C4—22no—
1438C22⋊C4—22no—
1439C22⋊C4—22no—
1440C22⋊C4—22no—
1441C22⋊C4—22no—
1442C22⋊C4—22no—
1443C22⋊C4—22no—
1444C22⋊C4—22no—
1445C22⋊C4—22no—
1446C22⋊C4—22no—
1447C22⋊C4—22no—
1448C22⋊C4—22no—
1449C22⋊C4—22no—
1450C22⋊C4—41no—
1451C22⋊C4—41no—
1452C22⋊C4—41no—
1453C22⋊C4—41no—
1454C22⋊C4—41no—
1455C22⋊C4—41no—
1456C22⋊C4—41no—
1457C22⋊C4—41no—
1458C22⋊C4—41no—
1459C22⋊C4—41no—
1460C22⋊C4—41no—
1461C22⋊C4—41no—
1462C22⋊C4—41no—
1463C22⋊C4—41no—
1464C22⋊C4—41no—
1465C22⋊C4C2×D4×C4314yes—
1466C22⋊C4C2×D4×C4314yes—
1467C42—22no—
1468C42—22no—
1469C42—22no—
1470C42—22no—
1471C42—41no—
1472C42—41no—
1473C42C2×D4×C4314yes—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—28no—
1483C23—28no—
1484C23—28no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—44no—
1511C23—44no—
1512C23—44no—
1513C23—44no—
1514C23—44no—
1515C23—44no—
1516C23—44no—
1517C23—44no—
1518C23—44no—
1519C23—44no—
1520C23—44no—
1521C23C22×D4×C4312yes—
1522C23C22×D4×C4312yes—
1523C23C2×#41×C4312yes—
1524C23C2×#41×C4312yes—
1525C23C2×#41×C4312yes—
1526C23C2×#41×C4312yes—
1527C23C2×#41×C4312yes—
1528C23H(5,𝔽2)×C4312yes—
1529C232−1+4×C4312yes—
1530C23C25×C4311yescharacteristic
1531Q8—82no—
1532D4—28no—
1533D4—28no—
1534D4—28no—
1535D4—28no—
1536D4—44no—
1537D4—44no—
1538D4—44no—
1539D4—82no—
1540D4—82no—
1541C2×C4—28no—
1542C2×C4—28no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—44no—
1612C2×C4—44no—
1613C2×C4—44no—
1614C2×C4—44no—
1615C2×C4—44no—
1616C2×C4—44no—
1617C2×C4—44no—
1618C2×C4—44no—
1619C2×C4—44no—
1620C2×C4—44no—
1621C2×C4—44no—
1622C2×C4—44no—
1623C2×C4—44no—
1624C2×C4—82no—
1625C2×C4—82no—
1626C2×C4—82no—
1627C2×C4C22×D4×C4312yes—
1628C2×C4C22×D4×C4312yes—
1629C2×C4C22×D4×C4312yes—
1630C2×C4C22×D4×C4312yes—
1631C2×C4C22×D4×C4312yes—
1632C2×C4C2×#41×C4312yes—
1633C2×C4H(5,𝔽2)×C4312yes—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—22no—
1641C22—22no—
1642C22—22no—
1643C22—22no—
1644C22—22no—
1645C22—22no—
1646C22—22no—
1647C22—22no—
1648C22—22no—
1649C22—22no—
1650C22—22no—
1651C22—22no—
1652C22—22no—
1653C22—22no—
1654C22—22no—
1655C22—416no—
1656C22—416no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—41no—
1665C22—41no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22C43×#52514yes—
1677C22C43×#53914yescomplemented
1678C22C23×D4×C4311yescharacteristic
1679C22C22×#41×C4311yescharacteristic
1680C22C22×#41×C4311yescharacteristic
1681C22C2×H(5,𝔽2)×C4311yescharacteristic
1682C22C2×H(5,𝔽2)×C4311yescharacteristic
1683C22C2×2−1+4×C4311yescharacteristic
1684C22C43×#58511yescharacteristic
1685C4—22no—
1686C4—22no—
1687C4—22no—
1688C4—22no—
1689C4—22no—
1690C4—22no—
1691C4—22no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—41no—
1698C4—41no—
1699C4—41no—
1700C4—41no—
1701C4—41no—
1702C4—41no—
1703C4—41no—
1704C4—41no—
1705C4—41no—
1706C4—41no—
1707C4—41no—
1708C4—41no—
1709C4—41no—
1710C2—24no—
1711C2—24no—
1712C2—42no—
1713C2—42no—
1714C2—42no—
1715C2—81no—
1716C2C2×C43×#52511yescharacteristic
1717C2C2×C43×#53911yescharacteristic
1718C2C43×#345911yescharacteristic
1719C2C43×#348411yescharacteristic
1720C2C43×#348911yescharacteristic
1721C2C43×#351311yescharacteristic
1722C2C43×#352011yescharacteristic
subgroupG/H
center, socleC23×C43C25
commutator, Frattini, cosocleC23C25×C43
prime radicalC43×#2410C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C43 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C43×#539C2semidirect
2. C22×C4×D4×C43C2semidirect
3. C43×#2852C2semidirect
4. C43×#2851C2semidirect
5. C43×#2849C2semidirect
6. C43×#2848C2semidirect
7. C43×#2638C2semidirect
8. C43×#2636C2semidirect
9. C43×#2633C2semidirect
10. C43×#2630C2semidirect
11. C43×#2480C2semidirect
12. C43×#2473C2semidirect
13. C43×#2466C2semidirect
14. C43×#2463C2semidirect
15. C43×#2460C2semidirect
16. C43×#2455C2semidirect
17. C43×#2449C2semidirect
18. C43×#2449C2semidirect
19. C43×#2443C2semidirect
20. C43×#2437C2semidirect
21. C43×#2425C2semidirect
22. C43×#2419C2semidirect
23. C43×#2418C2semidirect
24. C43×#2412C2semidirect
26. C43×#2405C2semidirect
27. C43×#2325C2semidirect
28. C43×#2322C2semidirect
29. C43×#2318C2semidirect
30. C4×#120×C43C2semidirect
31. C2×C43×#385C2semidirect
36. C2×#126×C43C22semidirect
37. C2×#126×C43C22semidirect
38. C2×#125×C43C22semidirect
39. C2×#125×C43C22semidirect
42. C2×#123×C43C22semidirect
43. C2×#123×C43C22semidirect
44. C2×#123×C43C22semidirect
45. C2×#123×C43C22semidirect
47. C2×C22⋊Q8×C43C22semidirect
48. C2×C22⋊Q8×C43C22semidirect
49. C2×C22⋊Q8×C43C22semidirect
50. C2×C22⋊Q8×C43C22semidirect
65. C2×C4×D4×C43C22semidirect
66. C2×C4×D4×C43C22semidirect
68. C22×C4⋊C4×C43C22semidirect
69. C22×C4⋊C4×C43C22semidirect
75. C43×#400C22semidirect
76. C43×#399C22semidirect
77. C43×#399C22semidirect
78. C43×#399C22semidirect
79. C43×#398C22semidirect
80. C43×#398C22semidirect
81. C43×#398C22semidirect
82. C43×#398C22semidirect
83. C43×#397C22semidirect
84. C43×#397C22semidirect
85. C43×#397C22semidirect
86. C43×#397C22semidirect
87. C43×#397C22semidirect
88. C43×#397C22semidirect
89. C43×#396C22semidirect
90. C43×#396C22semidirect
91. C43×#396C22semidirect
92. C43×#396C22semidirect
93. C43×#395C22semidirect
100. C43×#394C22semidirect
101. C43×#394C22semidirect
102. C43×#394C22semidirect
103. C43×#394C22semidirect
104. C43×#393C22semidirect
107. C43×#389C22semidirect
108. C43×#389C22semidirect
109. C43×#389C22semidirect
110. C43×#389C22semidirect
111. C43×#388C22semidirect
112. C43×#388C22semidirect
113. C43×#388C22semidirect
114. C43×#388C22semidirect
115. C43×#388C22semidirect
116. C43×#388C22semidirect
117. C43×#388C22semidirect
118. C43×#388C22semidirect
119. C43×#387C22semidirect
120. C43×#387C22semidirect
121. C43×#387C22semidirect
122. C43×#387C22semidirect
123. C43×#387C22semidirect
124. C43×#387C22semidirect
125. C43×#387C22semidirect
126. C43×#387C22semidirect
127. C43×#387C22semidirect
128. C43×#387C22semidirect
137. C43×#386C22semidirect
138. C43×#386C22semidirect
139. C43×#386C22semidirect
140. C43×#386C22semidirect
141. C43×#386C22semidirect
142. C43×#386C22semidirect
153. C43×#385C22semidirect
154. C43×#385C22semidirect
155. C43×#385C22semidirect
156. C43×#385C22semidirect
157. C43×#385C22semidirect
158. C43×#385C22semidirect
159. C43×#385C22semidirect
160. C43×#385C22semidirect
161. C43×#385C22semidirect
162. C43×#385C22semidirect
163. C43×#385C22semidirect
164. C43×#385C22semidirect
165. C43×#385C22semidirect
166. C43×#385C22semidirect
167. C43×#385C22semidirect
168. C43×#385C22semidirect
169. C43×#383C22semidirect
170. C43×#382C22semidirect
171. C43×#381C22semidirect
172. C43×#381C22semidirect
173. C43×#381C22semidirect
177. C43×#380C22semidirect
178. C43×#380C22semidirect
179. C43×#380C22semidirect
185. C4×C22⋊C4×C43C22semidirect
186. C4×C22⋊C4×C43C22semidirect
187. C2×#95×C43C22semidirect
188. C2×#95×C43C22semidirect
257. C4×D4×C43D4semidirect
772. #34991C43direct (N × H)
816. C22×C43#539semidirect
849. C2×#539C2×C43semidirect
850. C22×C4×D4C2×C43semidirect
851. #2852C2×C43semidirect
852. #2851C2×C43semidirect
853. #2849C2×C43semidirect
854. #2848C2×C43semidirect
855. #2638C2×C43semidirect
856. #2636C2×C43semidirect
857. #2633C2×C43semidirect
858. #2630C2×C43semidirect
859. #2480C2×C43semidirect
860. #2473C2×C43semidirect
861. #2466C2×C43semidirect
862. #2463C2×C43semidirect
863. #2460C2×C43semidirect
864. #2455C2×C43semidirect
865. #2449C2×C43semidirect
866. #2449C2×C43semidirect
867. #2443C2×C43semidirect
868. #2437C2×C43semidirect
869. #2425C2×C43semidirect
870. #2419C2×C43semidirect
871. #2418C2×C43semidirect
872. #2412C2×C43semidirect
874. #2405C2×C43semidirect
875. #2325C2×C43semidirect
876. #2322C2×C43semidirect
877. #2318C2×C43semidirect
878. C4×#120C2×C43semidirect
879. C2×#385C2×C43semidirect
897. C2×#126C22×C43semidirect
898. C2×#126C22×C43semidirect
899. C2×#125C22×C43semidirect
900. C2×#125C22×C43semidirect
903. C2×#123C22×C43semidirect
904. C2×#123C22×C43semidirect
905. C2×#123C22×C43semidirect
906. C2×#123C22×C43semidirect
908. C2×C22⋊Q8C22×C43semidirect
909. C2×C22⋊Q8C22×C43semidirect
910. C2×C22⋊Q8C22×C43semidirect
911. C2×C22⋊Q8C22×C43semidirect
926. C2×C4×D4C22×C43semidirect
927. C2×C4×D4C22×C43semidirect
929. C22×C4⋊C4C22×C43semidirect
930. C22×C4⋊C4C22×C43semidirect
936. #400C22×C43semidirect
937. #399C22×C43semidirect
938. #399C22×C43semidirect
939. #399C22×C43semidirect
940. #398C22×C43semidirect
941. #398C22×C43semidirect
942. #398C22×C43semidirect
943. #398C22×C43semidirect
944. #397C22×C43semidirect
945. #397C22×C43semidirect
946. #397C22×C43semidirect
947. #397C22×C43semidirect
948. #397C22×C43semidirect
949. #397C22×C43semidirect
950. #396C22×C43semidirect
951. #396C22×C43semidirect
952. #396C22×C43semidirect
953. #396C22×C43semidirect
954. #395C22×C43semidirect
961. #394C22×C43semidirect
962. #394C22×C43semidirect
963. #394C22×C43semidirect
964. #394C22×C43semidirect
965. #393C22×C43semidirect
968. #389C22×C43semidirect
969. #389C22×C43semidirect
970. #389C22×C43semidirect
971. #389C22×C43semidirect
972. #388C22×C43semidirect
973. #388C22×C43semidirect
974. #388C22×C43semidirect
975. #388C22×C43semidirect
976. #388C22×C43semidirect
977. #388C22×C43semidirect
978. #388C22×C43semidirect
979. #388C22×C43semidirect
980. #387C22×C43semidirect
981. #387C22×C43semidirect
982. #387C22×C43semidirect
983. #387C22×C43semidirect
984. #387C22×C43semidirect
985. #387C22×C43semidirect
986. #387C22×C43semidirect
987. #387C22×C43semidirect
988. #387C22×C43semidirect
989. #387C22×C43semidirect
998. #386C22×C43semidirect
999. #386C22×C43semidirect
1000. #386C22×C43semidirect
1001. #386C22×C43semidirect
1002. #386C22×C43semidirect
1003. #386C22×C43semidirect
1014. #385C22×C43semidirect
1015. #385C22×C43semidirect
1016. #385C22×C43semidirect
1017. #385C22×C43semidirect
1018. #385C22×C43semidirect
1019. #385C22×C43semidirect
1020. #385C22×C43semidirect
1021. #385C22×C43semidirect
1022. #385C22×C43semidirect
1023. #385C22×C43semidirect
1024. #385C22×C43semidirect
1025. #385C22×C43semidirect
1026. #385C22×C43semidirect
1027. #385C22×C43semidirect
1028. #385C22×C43semidirect
1029. #385C22×C43semidirect
1030. #383C22×C43semidirect
1031. #382C22×C43semidirect
1032. #381C22×C43semidirect
1033. #381C22×C43semidirect
1034. #381C22×C43semidirect
1038. #380C22×C43semidirect
1039. #380C22×C43semidirect
1040. #380C22×C43semidirect
1046. C4×C22⋊C4C22×C43semidirect
1047. C4×C22⋊C4C22×C43semidirect
1048. C2×#95C22×C43semidirect
1049. C2×#95C22×C43semidirect
1050. C43#34991direct (N × H)
1119. C4×D4D4×C43semidirect
1677. C22C43×#539semidirect

Maximal subgroups

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

subgroupindex
C2×C43×#5392
C22×C4×D4×C432
C43×#28522
C43×#28512
C43×#28492
C43×#28482
C43×#26382
C43×#26362
C43×#26332
C43×#26302
C43×#24802
C43×#24732
C43×#24662
C43×#24632
C43×#24602
C43×#24552
C43×#24492
C43×#24432
C43×#24372
C43×#24252
C43×#24192
C43×#24182
C43×#24122
C43×#24102
C43×#24052
C43×#23252
C43×#23222
C43×#23182
C4×#120×C432
C2×C43×#3852
#3499143