Finite Group Databasebeta

← C43×#36888 #24956905

Subgroups — C43×#36888 #24956905

Order 11008.

1910 conjugacy classes of subgroups.

The subgroup lattice has 1534 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C43×#2849C211yesmaximal, characteristic, complemented
2C43×#2848C211yesmaximal, characteristic, complemented
3C43×#2796C211yesmaximal, characteristic, complemented
4C43×#2790C211yesmaximal, characteristic, complemented
5C43×#2779C211yesmaximal, characteristic, complemented
6C43×#2753C211yesmaximal, characteristic, complemented
7C43×#2748C211yesmaximal, characteristic, complemented
8C43×#2740C211yesmaximal, characteristic, complemented
9C43×#2735C211yesmaximal, characteristic, complemented
10C43×#2730C211yesmaximal, characteristic, complemented
11C43×#2720C211yesmaximal, characteristic, complemented
12C43×#2707C211yesmaximal, characteristic, complemented
13C43×#2698C211yesmaximal, characteristic, complemented
14C43×#2695C211yesmaximal, characteristic, complemented
15C43×#2685C211yesmaximal, characteristic, complemented
16C43×#2685C211yesmaximal, characteristic, complemented
17C43×#2678C211yesmaximal, characteristic
18C43×#2672C211yesmaximal, characteristic, complemented
19C43×#2633C211yesmaximal, characteristic, complemented
20C43×#2630C211yesmaximal, characteristic, complemented
21C43×#2578C211yesmaximal, characteristic, complemented
22C43×#2573C211yesmaximal, characteristic, complemented
23C43×#2558C211yesmaximal, characteristic, complemented
24C43×#2556C211yesmaximal, characteristic, complemented
25C43×#2468C211yesmaximal, characteristic, complemented
26C43×#2461C211yesmaximal, characteristic, complemented
27C43×#2454C211yesmaximal, characteristic, complemented
28C43×#2422C211yesmaximal, characteristic, complemented
29C43×#2335C211yesmaximal, characteristic, complemented
30C43×#2334C211yesmaximal, characteristic, complemented
31C4×#120×C43C211yesmaximal, characteristic, complemented
32C24×C4×C43C2211yescharacteristic
33C2×#126×C43C2211yescharacteristic
34C2×#126×C43C2211yescharacteristic
35C2×#125×C43C2211yescharacteristic, complemented
36C2×#125×C43C2211yescharacteristic, complemented
37C2×#124×C43C2211yescharacteristic, complemented
38C2×#123×C43C2211yescharacteristic
39C2×#123×C43C2211yescharacteristic
40C2×#123×C43C2211yescharacteristic
41C2×#123×C43C2211yescharacteristic, complemented
42C2×C22⋊Q8×C43C2211yescharacteristic
43C2×C22⋊Q8×C43C2211yescharacteristic
44C2×C22⋊Q8×C43C2211yescharacteristic
45C2×#121×C43C2211yescharacteristic
46C2×#120×C43C2211yescharacteristic
47C2×#120×C43C2211yescharacteristic
48C2×C4×D4×C43C2211yescharacteristic
49C2×C4×D4×C43C2211yescharacteristic
50C2×C4×D4×C43C2211yescharacteristic
51C43×#400C2211yescharacteristic, complemented
52C43×#400C2211yescharacteristic, complemented
53C43×#400C2211yescharacteristic, complemented
54C43×#400C2211yescharacteristic, complemented
55C43×#399C2211yescharacteristic
56C43×#399C2211yescharacteristic
57C43×#399C2211yescharacteristic
58C43×#399C2211yescharacteristic, complemented
59C43×#399C2211yescharacteristic, complemented
60C43×#398C2211yescharacteristic, complemented
61C43×#398C2211yescharacteristic, complemented
62C43×#398C2211yescharacteristic, complemented
63C43×#398C2211yescharacteristic, complemented
64C43×#398C2211yescharacteristic, complemented
65C43×#398C2211yescharacteristic, complemented
66C43×#397C2211yescharacteristic
67C43×#397C2211yescharacteristic
68C43×#397C2211yescharacteristic
69C43×#397C2211yescharacteristic
70C43×#397C2211yescharacteristic, complemented
71C43×#397C2211yescharacteristic, complemented
72C43×#397C2211yescharacteristic, complemented
73C43×#397C2211yescharacteristic, complemented
74C43×#396C2211yescharacteristic
75C43×#396C2211yescharacteristic
76C43×#396C2211yescharacteristic
77C43×#396C2211yescharacteristic
78C43×#396C2211yescharacteristic
79C43×#396C2211yescharacteristic, complemented
80C43×#396C2211yescharacteristic, complemented
81C43×#396C2211yescharacteristic, complemented
82C43×#396C2211yescharacteristic, complemented
83C43×#395C2211yescharacteristic, complemented
84C43×#395C2211yescharacteristic, complemented
85C43×#394C2211yescharacteristic
86C43×#394C2211yescharacteristic
87C43×#394C2211yescharacteristic
88C43×#394C2211yescharacteristic
89C43×#394C2211yescharacteristic
90C43×#394C2211yescharacteristic
91C43×#394C2211yescharacteristic
92C43×#394C2211yescharacteristic
93C43×#394C2211yescharacteristic
94C43×#394C2211yescharacteristic
95C43×#394C2211yescharacteristic, complemented
96C43×#394C2211yescharacteristic, complemented
97C43×#392C2211yescharacteristic
98C43×#392C2211yescharacteristic
99C43×#391C2211yescharacteristic, complemented
100C43×#390C2211yescharacteristic
101C43×#390C2211yescharacteristic
102C43×#390C2211yescharacteristic
103C43×#390C2211yescharacteristic
104C43×#390C2211yescharacteristic
105C43×#390C2211yescharacteristic
106C43×#389C2211yescharacteristic, complemented
107C43×#389C2211yescharacteristic, complemented
108C43×#389C2211yescharacteristic, complemented
109C43×#389C2211yescharacteristic, complemented
110C43×#389C2211yescharacteristic, complemented
111C43×#389C2211yescharacteristic, complemented
112C43×#388C2211yescharacteristic
113C43×#388C2211yescharacteristic
114C43×#388C2211yescharacteristic
115C43×#388C2211yescharacteristic
116C43×#388C2211yescharacteristic
117C43×#388C2211yescharacteristic
118C43×#388C2211yescharacteristic
119C43×#388C2211yescharacteristic
120C43×#388C2211yescharacteristic
121C43×#388C2211yescharacteristic
122C43×#388C2211yescharacteristic
123C43×#388C2211yescharacteristic
124C43×#388C2211yescharacteristic
125C43×#388C2211yescharacteristic, complemented
126C43×#388C2211yescharacteristic, complemented
127C43×#388C2211yescharacteristic, complemented
128C43×#388C2211yescharacteristic, complemented
129C43×#388C2211yescharacteristic, complemented
130C43×#388C2211yescharacteristic, complemented
131C43×#388C2211yescharacteristic, complemented
132C43×#387C2211yescharacteristic, complemented
133C43×#387C2211yescharacteristic, complemented
134C43×#387C2211yescharacteristic, complemented
135C43×#387C2211yescharacteristic, complemented
136C43×#387C2211yescharacteristic, complemented
137C43×#387C2211yescharacteristic, complemented
138C43×#387C2211yescharacteristic, complemented
139C43×#387C2211yescharacteristic, complemented
140C43×#387C2211yescharacteristic, complemented
141C43×#386C2211yescharacteristic
142C43×#386C2211yescharacteristic
143C43×#386C2211yescharacteristic
144C43×#386C2211yescharacteristic
145C43×#386C2211yescharacteristic
146C43×#386C2211yescharacteristic
147C43×#386C2211yescharacteristic
148C43×#386C2211yescharacteristic
149C43×#385C2211yescharacteristic
150C43×#385C2211yescharacteristic
151C43×#385C2211yescharacteristic
152C43×#385C2211yescharacteristic
153C43×#385C2211yescharacteristic
154C43×#385C2211yescharacteristic
155C43×#385C2211yescharacteristic
156C43×#385C2211yescharacteristic
157C43×#385C2211yescharacteristic
158C43×#385C2211yescharacteristic
159C43×#385C2211yescharacteristic
160C43×#385C2211yescharacteristic
161C43×#385C2211yescharacteristic
162C43×#385C2211yescharacteristic, complemented
163C43×#385C2211yescharacteristic, complemented
164C43×#385C2211yescharacteristic, complemented
165C43×#384C2211yescharacteristic, complemented
166C43×#383C2211yescharacteristic, complemented
167C43×#382C2211yescharacteristic, complemented
168C43×#381C2211yescharacteristic
169C43×#381C2211yescharacteristic
170C43×#380C2211yescharacteristic
171C43×#380C2211yescharacteristic
172C43×#380C2211yescharacteristic
173C43×#380C2211yescharacteristic, complemented
174C43×#380C2211yescharacteristic, complemented
175C43×#380C2211yescharacteristic, complemented
176C43×#379C2211yescharacteristic
177C43×#379C2211yescharacteristic
178C43×#379C2211yescharacteristic
179C43×#379C2211yescharacteristic
180C4×C4⋊C4×C43C2211yescharacteristic, complemented
181C4×C4⋊C4×C43C2211yescharacteristic, complemented
182C4×C4⋊C4×C43C2211yescharacteristic, complemented
183C4×C22⋊C4×C43C2211yescharacteristic
184C4×C22⋊C4×C43C2211yescharacteristic
185C4×C22⋊C4×C43C2211yescharacteristic
186C4×C22⋊C4×C43C2211yescharacteristic, complemented
187C25×C43C2311yescharacteristic
188C22×Q8×C43C2311yescharacteristic
189C22×D4×C43C2311yescharacteristic
190C22×D4×C43C2311yescharacteristic
191C22×D4×C43C2311yescharacteristic
192C22×D4×C43C2311yescharacteristic
193C22×D4×C43C2311yescharacteristic
194C22×D4×C43C2311yescharacteristic
195C22×D4×C43C2311yescharacteristic
196C23×C4×C43—42no—
197C23×C4×C43—42no—
198C23×C4×C43—42no—
199C23×C4×C43C2311yescharacteristic
200C23×C4×C43C2311yescharacteristic
201C23×C4×C43C2311yescharacteristic
202C23×C4×C43C2311yescharacteristic
203C23×C4×C43C2311yescharacteristic
204C23×C4×C43C2311yescharacteristic
205C23×C4×C43C2311yescharacteristic
206C23×C4×C43C2311yescharacteristic
207#126×C43—24no—
208#126×C43—42no—
209#125×C43—42no—
210#125×C43—42no—
211#124×C43—42no—
212#123×C43—24no—
213#123×C43—42no—
214#123×C43—42no—
215#123×C43—42no—
216C22⋊Q8×C43—42no—
217C22⋊Q8×C43—42no—
218C22⋊Q8×C43—42no—
219#121×C43—42no—
220#120×C43—24no—
221#120×C43—42no—
222C4×D4×C43—42no—
223C4×D4×C43—42no—
224C4×D4×C43—42no—
225C2×C4⋊C4×C43C2311yescharacteristic
226C2×C4⋊C4×C43C2311yescharacteristic
227C2×C4⋊C4×C43C2311yescharacteristic
228C2×C4⋊C4×C43C2311yescharacteristic
229C2×C4⋊C4×C43C2311yescharacteristic
230C2×C4⋊C4×C43C2311yescharacteristic
231C2×C4⋊C4×C43C2311yescharacteristic
232C2×C4⋊C4×C43C2311yescharacteristic
233C2×C4⋊C4×C43C2311yescharacteristic
234C2×C4⋊C4×C43C2311yescharacteristic
235C2×C4⋊C4×C43C2311yescharacteristic
236C2×C4⋊C4×C43C2311yescharacteristic
237C2×C4⋊C4×C43C2311yescharacteristic
238C2×C4⋊C4×C43C2311yescharacteristic
239C2×C4⋊C4×C43C2311yescharacteristic
240C2×C4⋊C4×C43C2311yescharacteristic
241C2×C4⋊C4×C43C2311yescharacteristic
242C2×C4⋊C4×C43C2311yescharacteristic
243C2×C4⋊C4×C43C2311yescharacteristic
244C2×C4⋊C4×C43C2311yescharacteristic
245C2×C4⋊C4×C43C2311yescharacteristic
246C2×C4⋊C4×C43C2311yescharacteristic
247C2×C4⋊C4×C43C2311yescharacteristic
248C2×C4⋊C4×C43C2311yescharacteristic
249C2×C4⋊C4×C43C2311yescharacteristic
250C2×C4⋊C4×C43C2311yescharacteristic
251C2×C4⋊C4×C43C2311yescharacteristic
252C2×C4⋊C4×C43C2311yescharacteristic
253C2×C4⋊C4×C43C2311yescharacteristic
254C2×C4⋊C4×C43C2311yescharacteristic
255C2×C4⋊C4×C43C2311yescharacteristic
256C2×C4⋊C4×C43C2311yescharacteristic
257C2×C4⋊C4×C43C2311yescharacteristic
258C2×C4⋊C4×C43C2311yescharacteristic
259C2×C4⋊C4×C43C2311yescharacteristic
260C2×C4⋊C4×C43C2311yescharacteristic
261C2×C4⋊C4×C43C2311yescharacteristic
262C2×C4⋊C4×C43C2311yescharacteristic
263C2×C22⋊C4×C43C2311yescharacteristic
264C2×C22⋊C4×C43C2311yescharacteristic
265C2×C22⋊C4×C43C2311yescharacteristic
266C2×C22⋊C4×C43C2311yescharacteristic
267C2×C22⋊C4×C43C2311yescharacteristic
268C2×C22⋊C4×C43C2311yescharacteristic
269C2×C22⋊C4×C43C2311yescharacteristic
270C2×C22⋊C4×C43C2311yescharacteristic
271C2×C22⋊C4×C43C2311yescharacteristic
272C2×C22⋊C4×C43C2311yescharacteristic
273C2×C22⋊C4×C43C2311yescharacteristic
274C2×C22⋊C4×C43C2311yescharacteristic
275C2×C22⋊C4×C43C2311yescharacteristic
276C2×C22⋊C4×C43C2311yescharacteristic
277C2×C22⋊C4×C43C2311yescharacteristic
278C2×C22⋊C4×C43C2311yescharacteristic
279C2×C22⋊C4×C43C2311yescharacteristic
280C2×C22⋊C4×C43C2311yescharacteristic
281C2×C22⋊C4×C43C2311yescharacteristic
282C2×C22⋊C4×C43C2311yescharacteristic
283C2×C22⋊C4×C43C2311yescharacteristic
284C2×C22⋊C4×C43C2311yescharacteristic
285C2×C22⋊C4×C43C2311yescharacteristic
286C2×C22⋊C4×C43C2311yescharacteristic
287C2×C22⋊C4×C43C2311yescharacteristic
288C2×C22⋊C4×C43C2311yescharacteristic
289C2×C22⋊C4×C43C2311yescharacteristic
290C2×C22⋊C4×C43C2311yescharacteristic
291C2×C22⋊C4×C43C2311yescharacteristic
292C2×C22⋊C4×C43C2311yescharacteristic
293C2×C22⋊C4×C43C2311yescharacteristic
294C2×C22⋊C4×C43C2311yescharacteristic
295C2×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×C22⋊C4×C43C2311yescharacteristic
309C2×C22⋊C4×C43C2311yescharacteristic
310C2×C22⋊C4×C43C2311yescharacteristic
311C2×C22⋊C4×C43C2311yescharacteristic
312C2×C22⋊C4×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
323#95×C43C2311yescharacteristic
324#95×C43C2311yescharacteristic
325#95×C43C2311yescharacteristic
326#95×C43C2311yescharacteristic
327#95×C43C2311yescharacteristic
328#95×C43C2311yescharacteristic
329#95×C43C2311yescharacteristic
330#95×C43C2311yescharacteristic
331#95×C43C2311yescharacteristic
332#95×C43C2311yescharacteristic
333#95×C43C2311yescharacteristic
334#95×C43C2311yescharacteristic
335#95×C43C2311yescharacteristic
336#95×C43C2311yescharacteristic
337#95×C43C2311yescharacteristic
338#95×C43C2311yescharacteristic
339#95×C43C2311yescharacteristic
340#95×C43C2311yescharacteristic
341#95×C43C2311yescharacteristic
342#95×C43C2311yescharacteristic
343#95×C43C2311yescharacteristic
344#95×C43C2311yescharacteristic
345#95×C43C2311yescharacteristic
346#95×C43C2311yescharacteristic
347#95×C43C2311yescharacteristic
348#95×C43C2311yescharacteristic
349#95×C43C2311yescharacteristic
350#95×C43C2311yescharacteristic
351#95×C43C2311yescharacteristic
352#95×C43C2311yescharacteristic
353#95×C43C2311yescharacteristic
354#95×C43C2311yescharacteristic
355#95×C43C2311yescharacteristic
356#95×C43C2311yescharacteristic
357#95×C43C2311yescharacteristic
358#95×C43C2311yescharacteristic
359#95×C43C2311yescharacteristic
360#95×C43C2311yescharacteristic
361#95×C43C2311yescharacteristic
362#95×C43C2311yescharacteristic
363C24×C43—22no—
364C24×C43—22no—
365C24×C43—22no—
366C24×C43—41no—
367C24×C43—41no—
368C24×C43—41no—
369C24×C43—41no—
370C24×C43C2411yescharacteristic
371C24×C43C2411yescharacteristic
372C24×C43C2411yescharacteristic
373C24×C43C2411yescharacteristic
374C24×C43C2411yescharacteristic
375C2×Q8×C43—22no—
376C2×Q8×C43—41no—
377C2×Q8×C43—41no—
378C2×D4×C43—22no—
379C2×D4×C43—22no—
380C2×D4×C43—22no—
381C2×D4×C43—22no—
382C2×D4×C43—22no—
383C2×D4×C43—22no—
384C2×D4×C43—22no—
385C2×D4×C43—22no—
386C2×D4×C43—41no—
387C2×D4×C43—41no—
388C2×D4×C43—41no—
389C2×D4×C43—41no—
390C2×D4×C43—41no—
391C2×D4×C43—41no—
392C2×D4×C43—41no—
393C2×D4×C43—41no—
394C2×D4×C43—41no—
395C2×D4×C43—41no—
396C2×D4×C43—41no—
397C2×D4×C43—41no—
398C2×D4×C43—41no—
399C22×C4×C43—22no—
400C22×C4×C43—22no—
401C22×C4×C43—22no—
402C22×C4×C43—22no—
403C22×C4×C43—22no—
404C22×C4×C43—22no—
405C22×C4×C43—22no—
406C22×C4×C43—22no—
407C22×C4×C43—22no—
408C22×C4×C43—22no—
409C22×C4×C43—41no—
410C22×C4×C43—41no—
411C22×C4×C43—41no—
412C22×C4×C43—41no—
413C22×C4×C43—41no—
414C22×C4×C43—41no—
415C22×C4×C43—41no—
416C22×C4×C43—41no—
417C22×C4×C43—41no—
418C22×C4×C43—41no—
419C22×C4×C43—41no—
420C22×C4×C43—41no—
421C22×C4×C43—41no—
422C22×C4×C43—41no—
423C22×C4×C43—416no—
424C22×C4×C43C2411yescharacteristic
425C22×C4×C43C2411yescharacteristic
426C22×C4×C43C2411yescharacteristic
427C22×C4×C43C2411yescharacteristic
428C22×C4×C43C2411yescharacteristic
429C22×C4×C43C2411yescharacteristic
430C22×C4×C43C2411yescharacteristic
431C22×C4×C43C2411yescharacteristic
432C22×C4×C43C2411yescharacteristic
433C22×C4×C43C2411yescharacteristic
434C22×C4×C43C2411yescharacteristic
435C22×C4×C43C2411yescharacteristic
436C22×C4×C43C2411yescharacteristic
437C22×C4×C43C2411yescharacteristic
438C22×C4×C43C2411yescharacteristic
439C22×C4×C43C2411yescharacteristic
440C22×C4×C43C2411yescharacteristic
441C22×C4×C43C2411yescharacteristic
442C22×C4×C43C2411yescharacteristic
443C22×C4×C43C2411yescharacteristic
444C22×C4×C43C2411yescharacteristic
445C22×C4×C43C2411yescharacteristic
446C22×C4×C43C2411yescharacteristic
447C22×C4×C43C2411yescharacteristic
448C22×C4×C43C2411yescharacteristic
449C22×C4×C43C2411yescharacteristic
450C4⋊C4×C43—22no—
451C4⋊C4×C43—22no—
452C4⋊C4×C43—22no—
453C4⋊C4×C43—22no—
454C4⋊C4×C43—22no—
455C4⋊C4×C43—22no—
456C4⋊C4×C43—22no—
457C4⋊C4×C43—22no—
458C4⋊C4×C43—22no—
459C4⋊C4×C43—22no—
460C4⋊C4×C43—22no—
461C4⋊C4×C43—41no—
462C4⋊C4×C43—41no—
463C4⋊C4×C43—41no—
464C4⋊C4×C43—41no—
465C4⋊C4×C43—41no—
466C4⋊C4×C43—41no—
467C4⋊C4×C43—41no—
468C4⋊C4×C43—41no—
469C4⋊C4×C43—41no—
470C4⋊C4×C43—41no—
471C4⋊C4×C43—41no—
472C4⋊C4×C43—41no—
473C4⋊C4×C43—41no—
474C4⋊C4×C43—41no—
475C4⋊C4×C43—41no—
476C4⋊C4×C43—41no—
477C4⋊C4×C43—41no—
478C4⋊C4×C43—41no—
479C4⋊C4×C43—41no—
480C4⋊C4×C43—41no—
481C4⋊C4×C43—41no—
482C4⋊C4×C43—41no—
483C4⋊C4×C43—41no—
484C4⋊C4×C43—41no—
485C4⋊C4×C43—41no—
486C4⋊C4×C43—41no—
487C4⋊C4×C43—41no—
488C22⋊C4×C43—22no—
489C22⋊C4×C43—22no—
490C22⋊C4×C43—22no—
491C22⋊C4×C43—22no—
492C22⋊C4×C43—22no—
493C22⋊C4×C43—22no—
494C22⋊C4×C43—22no—
495C22⋊C4×C43—22no—
496C22⋊C4×C43—22no—
497C22⋊C4×C43—22no—
498C22⋊C4×C43—22no—
499C22⋊C4×C43—22no—
500C22⋊C4×C43—22no—
501C22⋊C4×C43—22no—
502C22⋊C4×C43—22no—
503C22⋊C4×C43—41no—
504C22⋊C4×C43—41no—
505C22⋊C4×C43—41no—
506C22⋊C4×C43—41no—
507C22⋊C4×C43—41no—
508C22⋊C4×C43—41no—
509C22⋊C4×C43—41no—
510C22⋊C4×C43—41no—
511C22⋊C4×C43—41no—
512C22⋊C4×C43—41no—
513C22⋊C4×C43—41no—
514C22⋊C4×C43—41no—
515C22⋊C4×C43—41no—
516C22⋊C4×C43—41no—
517C22⋊C4×C43—41no—
518C22⋊C4×C43—41no—
519C22⋊C4×C43—41no—
520C22⋊C4×C43—41no—
521C22⋊C4×C43—41no—
522C22⋊C4×C43—41no—
523C22⋊C4×C43—41no—
524C22⋊C4×C43—41no—
525C22⋊C4×C43—41no—
526C22⋊C4×C43—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×C43—41no—
535C22⋊C4×C43—41no—
536C22⋊C4×C43—41no—
537C22⋊C4×C43#4114yes—
538C42×C43—22no—
539C42×C43—22no—
540C42×C43—41no—
541C42×C43—41no—
542C42×C43—41no—
543C42×C43—41no—
544C42×C43—41no—
545C42×C43—41no—
546C42×C43—41no—
547C42×C43—41no—
548C23×C43—21no—
549C23×C43—21no—
550C23×C43—21no—
551C23×C43—21no—
552C23×C43—21no—
553C23×C43—21no—
554C23×C43—21no—
555C23×C43—21no—
556C23×C43—21no—
557C23×C43—21no—
558C23×C43—21no—
559C23×C43—21no—
560C23×C43—21no—
561C23×C43—21no—
562C23×C43—21no—
563C23×C43—21no—
564C23×C43—21no—
565C23×C43—21no—
566C23×C43—21no—
567C23×C43—21no—
568C23×C43—21no—
569C23×C43—21no—
570C23×C43—21no—
571C23×C43—21no—
572C23×C43—21no—
573C23×C43—21no—
574C23×C43—21no—
575C23×C43—21no—
576C23×C43—21no—
577C23×C43—21no—
578C23×C43—21no—
579C23×C43—21no—
580C23×C43—44no—
581C23×C43—44no—
582C23×C43—44no—
583C23×C43—44no—
584C23×C43—44no—
585C23×C43—44no—
586C23×C43—44no—
587C23×C43C2×#4112yes—
588C23×C43H(5,𝔽2)12yes—
589C23×C432−1+412yes—
590C23×C43C2511yescharacteristic
591Q8×C43—82no—
592D4×C43—44no—
593D4×C43—44no—
594D4×C43—44no—
595D4×C43—82no—
596D4×C43—82no—
597D4×C43—82no—
598D4×C43—82no—
599C2×C4×C43—21no—
600C2×C4×C43—21no—
601C2×C4×C43—21no—
602C2×C4×C43—21no—
603C2×C4×C43—21no—
604C2×C4×C43—21no—
605C2×C4×C43—21no—
606C2×C4×C43—21no—
607C2×C4×C43—21no—
608C2×C4×C43—21no—
609C2×C4×C43—21no—
610C2×C4×C43—21no—
611C2×C4×C43—21no—
612C2×C4×C43—21no—
613C2×C4×C43—21no—
614C2×C4×C43—21no—
615C2×C4×C43—21no—
616C2×C4×C43—21no—
617C2×C4×C43—21no—
618C2×C4×C43—21no—
619C2×C4×C43—21no—
620C2×C4×C43—21no—
621C2×C4×C43—21no—
622C2×C4×C43—21no—
623C2×C4×C43—21no—
624C2×C4×C43—21no—
625C2×C4×C43—21no—
626C2×C4×C43—21no—
627C2×C4×C43—21no—
628C2×C4×C43—21no—
629C2×C4×C43—21no—
630C2×C4×C43—21no—
631C2×C4×C43—21no—
632C2×C4×C43—21no—
633C2×C4×C43—21no—
634C2×C4×C43—21no—
635C2×C4×C43—21no—
636C2×C4×C43—21no—
637C2×C4×C43—21no—
638C2×C4×C43—21no—
639C2×C4×C43—21no—
640C2×C4×C43—21no—
641C2×C4×C43—21no—
642C2×C4×C43—21no—
643C2×C4×C43—21no—
644C2×C4×C43—21no—
645C2×C4×C43—21no—
646C2×C4×C43—21no—
647C2×C4×C43—21no—
648C2×C4×C43—21no—
649C2×C4×C43—21no—
650C2×C4×C43—21no—
651C2×C4×C43—21no—
652C2×C4×C43—21no—
653C2×C4×C43—21no—
654C2×C4×C43—21no—
655C2×C4×C43—21no—
656C2×C4×C43—21no—
657C2×C4×C43—21no—
658C2×C4×C43—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—44no—
674C2×C4×C43—44no—
675C2×C4×C43—44no—
676C2×C4×C43—44no—
677C2×C4×C43—44no—
678C2×C4×C43—44no—
679C2×C4×C43—82no—
680C2×C4×C43—82no—
681C2×C4×C43C2×#4112yes—
682C2×C4×C43C2×#4112yes—
683C2×C4×C43H(5,𝔽2)12yes—
684C2×C4×C43H(5,𝔽2)12yes—
685#36888C4311yesmaximal, characteristic, direct product factor, Sylow
686C22×C43—22no—
687C22×C43—22no—
688C22×C43—22no—
689C22×C43—22no—
690C22×C43—22no—
691C22×C43—22no—
692C22×C43—22no—
693C22×C43—22no—
694C22×C43—22no—
695C22×C43—416no—
696C22×C43—41no—
697C22×C43—41no—
698C22×C43—41no—
699C22×C43—41no—
700C22×C43—41no—
701C22×C43—41no—
702C22×C43—41no—
703C22×C43—41no—
704C22×C43—41no—
705C22×C43—41no—
706C22×C43—41no—
707C22×C43—41no—
708C22×C43—41no—
709C22×C43—41no—
710C22×C43—41no—
711C22×C43—41no—
712C22×C43—41no—
713C22×C43—41no—
714C22×C43—41no—
715C22×C43—41no—
716C22×C43—41no—
717C22×C43—41no—
718C22×C43—41no—
719C22×C43—41no—
720C22×C43—41no—
721C22×C43—41no—
722C22×C43C22×#4111yescharacteristic
723C22×C43C2×H(5,𝔽2)11yescharacteristic
724C22×C43C2×H(5,𝔽2)11yescharacteristic
725C22×C43C2×H(5,𝔽2)11yescharacteristic
726C22×C43C2×2−1+411yescharacteristic
727C22×C43#58511yescharacteristic
728C22×C43#58511yescharacteristic
729C4×C43—22no—
730C4×C43—22no—
731C4×C43—22no—
732C4×C43—22no—
733C4×C43—41no—
734C4×C43—41no—
735C4×C43—41no—
736C4×C43—41no—
737C4×C43—41no—
738C4×C43—41no—
739C4×C43—41no—
740C4×C43—41no—
741C4×C43—41no—
742C4×C43—41no—
743C4×C43—41no—
744C4×C43—41no—
745C4×C43—41no—
746C4×C43—41no—
747C4×C43—41no—
748C4×C43—41no—
749C4×C43—41no—
750C4×C43—41no—
751C4×C43—41no—
752C4×C43—41no—
753C4×C43—41no—
754C4×C43—41no—
755#2849C2×C4311yescharacteristic, complemented
756#2848C2×C4311yescharacteristic, complemented
757#2796C2×C4311yescharacteristic, complemented
758#2790C2×C4311yescharacteristic, complemented
759#2779C2×C4311yescharacteristic, complemented
760#2753C2×C4311yescharacteristic, complemented
761#2748C2×C4311yescharacteristic, complemented
762#2740C2×C4311yescharacteristic, complemented
763#2735C2×C4311yescharacteristic, complemented
764#2730C2×C4311yescharacteristic, complemented
765#2720C2×C4311yescharacteristic, complemented
766#2707C2×C4311yescharacteristic, complemented
767#2698C2×C4311yescharacteristic, complemented
768#2695C2×C4311yescharacteristic, complemented
769#2685C2×C4311yescharacteristic, complemented
770#2685C2×C4311yescharacteristic, complemented
771#2678C2×C4311yescharacteristic
772#2672C2×C4311yescharacteristic, complemented
773#2633C2×C4311yescharacteristic, complemented
774#2630C2×C4311yescharacteristic, complemented
775#2578C2×C4311yescharacteristic, complemented
776#2573C2×C4311yescharacteristic, complemented
777#2558C2×C4311yescharacteristic, complemented
778#2556C2×C4311yescharacteristic, complemented
779#2468C2×C4311yescharacteristic, complemented
780#2461C2×C4311yescharacteristic, complemented
781#2454C2×C4311yescharacteristic, complemented
782#2422C2×C4311yescharacteristic, complemented
783#2335C2×C4311yescharacteristic, complemented
784#2334C2×C4311yescharacteristic, complemented
785C4×#120C2×C4311yescharacteristic, complemented
786C2×C43—42no—
787C2×C43—42no—
788C2×C43—42no—
789C2×C43—81no—
790C2×C43—81no—
791C2×C43#346011yescharacteristic
792C2×C43#351311yescharacteristic
793C2×C43#352011yescharacteristic
794C2×C43#353211yescharacteristic
795C2×C43#353511yescharacteristic
796C2×C43#353911yescharacteristic
797C2×C43#354111yescharacteristic
798C24×C4C22×C4311yescharacteristic
799C2×#126C22×C4311yescharacteristic
800C2×#126C22×C4311yescharacteristic
801C2×#125C22×C4311yescharacteristic, complemented
802C2×#125C22×C4311yescharacteristic, complemented
803C2×#124C22×C4311yescharacteristic, complemented
804C2×#123C22×C4311yescharacteristic
805C2×#123C22×C4311yescharacteristic
806C2×#123C22×C4311yescharacteristic
807C2×#123C22×C4311yescharacteristic, complemented
808C2×C22⋊Q8C22×C4311yescharacteristic
809C2×C22⋊Q8C22×C4311yescharacteristic
810C2×C22⋊Q8C22×C4311yescharacteristic
811C2×#121C22×C4311yescharacteristic
812C2×#120C22×C4311yescharacteristic
813C2×#120C22×C4311yescharacteristic
814C2×C4×D4C22×C4311yescharacteristic
815C2×C4×D4C22×C4311yescharacteristic
816C2×C4×D4C22×C4311yescharacteristic
817#400C22×C4311yescharacteristic, complemented
818#400C22×C4311yescharacteristic, complemented
819#400C22×C4311yescharacteristic, complemented
820#400C22×C4311yescharacteristic, complemented
821#399C22×C4311yescharacteristic
822#399C22×C4311yescharacteristic
823#399C22×C4311yescharacteristic
824#399C22×C4311yescharacteristic, complemented
825#399C22×C4311yescharacteristic, complemented
826#398C22×C4311yescharacteristic, complemented
827#398C22×C4311yescharacteristic, complemented
828#398C22×C4311yescharacteristic, complemented
829#398C22×C4311yescharacteristic, complemented
830#398C22×C4311yescharacteristic, complemented
831#398C22×C4311yescharacteristic, complemented
832#397C22×C4311yescharacteristic
833#397C22×C4311yescharacteristic
834#397C22×C4311yescharacteristic
835#397C22×C4311yescharacteristic
836#397C22×C4311yescharacteristic, complemented
837#397C22×C4311yescharacteristic, complemented
838#397C22×C4311yescharacteristic, complemented
839#397C22×C4311yescharacteristic, complemented
840#396C22×C4311yescharacteristic
841#396C22×C4311yescharacteristic
842#396C22×C4311yescharacteristic
843#396C22×C4311yescharacteristic
844#396C22×C4311yescharacteristic
845#396C22×C4311yescharacteristic, complemented
846#396C22×C4311yescharacteristic, complemented
847#396C22×C4311yescharacteristic, complemented
848#396C22×C4311yescharacteristic, complemented
849#395C22×C4311yescharacteristic, complemented
850#395C22×C4311yescharacteristic, complemented
851#394C22×C4311yescharacteristic
852#394C22×C4311yescharacteristic
853#394C22×C4311yescharacteristic
854#394C22×C4311yescharacteristic
855#394C22×C4311yescharacteristic
856#394C22×C4311yescharacteristic
857#394C22×C4311yescharacteristic
858#394C22×C4311yescharacteristic
859#394C22×C4311yescharacteristic
860#394C22×C4311yescharacteristic
861#394C22×C4311yescharacteristic, complemented
862#394C22×C4311yescharacteristic, complemented
863#392C22×C4311yescharacteristic
864#392C22×C4311yescharacteristic
865#391C22×C4311yescharacteristic, complemented
866#390C22×C4311yescharacteristic
867#390C22×C4311yescharacteristic
868#390C22×C4311yescharacteristic
869#390C22×C4311yescharacteristic
870#390C22×C4311yescharacteristic
871#390C22×C4311yescharacteristic
872#389C22×C4311yescharacteristic, complemented
873#389C22×C4311yescharacteristic, complemented
874#389C22×C4311yescharacteristic, complemented
875#389C22×C4311yescharacteristic, complemented
876#389C22×C4311yescharacteristic, complemented
877#389C22×C4311yescharacteristic, complemented
878#388C22×C4311yescharacteristic
879#388C22×C4311yescharacteristic
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, complemented
892#388C22×C4311yescharacteristic, complemented
893#388C22×C4311yescharacteristic, complemented
894#388C22×C4311yescharacteristic, complemented
895#388C22×C4311yescharacteristic, complemented
896#388C22×C4311yescharacteristic, complemented
897#388C22×C4311yescharacteristic, complemented
898#387C22×C4311yescharacteristic, complemented
899#387C22×C4311yescharacteristic, complemented
900#387C22×C4311yescharacteristic, complemented
901#387C22×C4311yescharacteristic, complemented
902#387C22×C4311yescharacteristic, complemented
903#387C22×C4311yescharacteristic, complemented
904#387C22×C4311yescharacteristic, complemented
905#387C22×C4311yescharacteristic, complemented
906#387C22×C4311yescharacteristic, complemented
907#386C22×C4311yescharacteristic
908#386C22×C4311yescharacteristic
909#386C22×C4311yescharacteristic
910#386C22×C4311yescharacteristic
911#386C22×C4311yescharacteristic
912#386C22×C4311yescharacteristic
913#386C22×C4311yescharacteristic
914#386C22×C4311yescharacteristic
915#385C22×C4311yescharacteristic
916#385C22×C4311yescharacteristic
917#385C22×C4311yescharacteristic
918#385C22×C4311yescharacteristic
919#385C22×C4311yescharacteristic
920#385C22×C4311yescharacteristic
921#385C22×C4311yescharacteristic
922#385C22×C4311yescharacteristic
923#385C22×C4311yescharacteristic
924#385C22×C4311yescharacteristic
925#385C22×C4311yescharacteristic
926#385C22×C4311yescharacteristic
927#385C22×C4311yescharacteristic
928#385C22×C4311yescharacteristic, complemented
929#385C22×C4311yescharacteristic, complemented
930#385C22×C4311yescharacteristic, complemented
931#384C22×C4311yescharacteristic, complemented
932#383C22×C4311yescharacteristic, complemented
933#382C22×C4311yescharacteristic, complemented
934#381C22×C4311yescharacteristic
935#381C22×C4311yescharacteristic
936#380C22×C4311yescharacteristic
937#380C22×C4311yescharacteristic
938#380C22×C4311yescharacteristic
939#380C22×C4311yescharacteristic, complemented
940#380C22×C4311yescharacteristic, complemented
941#380C22×C4311yescharacteristic, complemented
942#379C22×C4311yescharacteristic
943#379C22×C4311yescharacteristic
944#379C22×C4311yescharacteristic
945#379C22×C4311yescharacteristic
946C4×C4⋊C4C22×C4311yescharacteristic, complemented
947C4×C4⋊C4C22×C4311yescharacteristic, complemented
948C4×C4⋊C4C22×C4311yescharacteristic, complemented
949C4×C22⋊C4C22×C4311yescharacteristic
950C4×C22⋊C4C22×C4311yescharacteristic
951C4×C22⋊C4C22×C4311yescharacteristic
952C4×C22⋊C4C22×C4311yescharacteristic, complemented
953C43#3688811yescharacteristic, direct product factor, Sylow
954C25C23×C4311yescharacteristic
955C22×Q8C23×C4311yescharacteristic
956C22×D4C23×C4311yescharacteristic
957C22×D4C23×C4311yescharacteristic
958C22×D4C23×C4311yescharacteristic
959C22×D4C23×C4311yescharacteristic
960C22×D4C23×C4311yescharacteristic
961C22×D4C23×C4311yescharacteristic
962C22×D4C23×C4311yescharacteristic
963C23×C4—42no—
964C23×C4—42no—
965C23×C4—42no—
966C23×C4C23×C4311yescharacteristic
967C23×C4C23×C4311yescharacteristic
968C23×C4C23×C4311yescharacteristic
969C23×C4C23×C4311yescharacteristic
970C23×C4C23×C4311yescharacteristic
971C23×C4C23×C4311yescharacteristic
972C23×C4C23×C4311yescharacteristic
973C23×C4C23×C4311yescharacteristic
974#126—24no—
975#126—42no—
976#125—42no—
977#125—42no—
978#124—42no—
979#123—24no—
980#123—42no—
981#123—42no—
982#123—42no—
983C22⋊Q8—42no—
984C22⋊Q8—42no—
985C22⋊Q8—42no—
986#121—42no—
987#120—24no—
988#120—42no—
989C4×D4—42no—
990C4×D4—42no—
991C4×D4—42no—
992C2×C4⋊C4C23×C4311yescharacteristic
993C2×C4⋊C4C23×C4311yescharacteristic
994C2×C4⋊C4C23×C4311yescharacteristic
995C2×C4⋊C4C23×C4311yescharacteristic
996C2×C4⋊C4C23×C4311yescharacteristic
997C2×C4⋊C4C23×C4311yescharacteristic
998C2×C4⋊C4C23×C4311yescharacteristic
999C2×C4⋊C4C23×C4311yescharacteristic
1000C2×C4⋊C4C23×C4311yescharacteristic
1001C2×C4⋊C4C23×C4311yescharacteristic
1002C2×C4⋊C4C23×C4311yescharacteristic
1003C2×C4⋊C4C23×C4311yescharacteristic
1004C2×C4⋊C4C23×C4311yescharacteristic
1005C2×C4⋊C4C23×C4311yescharacteristic
1006C2×C4⋊C4C23×C4311yescharacteristic
1007C2×C4⋊C4C23×C4311yescharacteristic
1008C2×C4⋊C4C23×C4311yescharacteristic
1009C2×C4⋊C4C23×C4311yescharacteristic
1010C2×C4⋊C4C23×C4311yescharacteristic
1011C2×C4⋊C4C23×C4311yescharacteristic
1012C2×C4⋊C4C23×C4311yescharacteristic
1013C2×C4⋊C4C23×C4311yescharacteristic
1014C2×C4⋊C4C23×C4311yescharacteristic
1015C2×C4⋊C4C23×C4311yescharacteristic
1016C2×C4⋊C4C23×C4311yescharacteristic
1017C2×C4⋊C4C23×C4311yescharacteristic
1018C2×C4⋊C4C23×C4311yescharacteristic
1019C2×C4⋊C4C23×C4311yescharacteristic
1020C2×C4⋊C4C23×C4311yescharacteristic
1021C2×C4⋊C4C23×C4311yescharacteristic
1022C2×C4⋊C4C23×C4311yescharacteristic
1023C2×C4⋊C4C23×C4311yescharacteristic
1024C2×C4⋊C4C23×C4311yescharacteristic
1025C2×C4⋊C4C23×C4311yescharacteristic
1026C2×C4⋊C4C23×C4311yescharacteristic
1027C2×C4⋊C4C23×C4311yescharacteristic
1028C2×C4⋊C4C23×C4311yescharacteristic
1029C2×C4⋊C4C23×C4311yescharacteristic
1030C2×C22⋊C4C23×C4311yescharacteristic
1031C2×C22⋊C4C23×C4311yescharacteristic
1032C2×C22⋊C4C23×C4311yescharacteristic
1033C2×C22⋊C4C23×C4311yescharacteristic
1034C2×C22⋊C4C23×C4311yescharacteristic
1035C2×C22⋊C4C23×C4311yescharacteristic
1036C2×C22⋊C4C23×C4311yescharacteristic
1037C2×C22⋊C4C23×C4311yescharacteristic
1038C2×C22⋊C4C23×C4311yescharacteristic
1039C2×C22⋊C4C23×C4311yescharacteristic
1040C2×C22⋊C4C23×C4311yescharacteristic
1041C2×C22⋊C4C23×C4311yescharacteristic
1042C2×C22⋊C4C23×C4311yescharacteristic
1043C2×C22⋊C4C23×C4311yescharacteristic
1044C2×C22⋊C4C23×C4311yescharacteristic
1045C2×C22⋊C4C23×C4311yescharacteristic
1046C2×C22⋊C4C23×C4311yescharacteristic
1047C2×C22⋊C4C23×C4311yescharacteristic
1048C2×C22⋊C4C23×C4311yescharacteristic
1049C2×C22⋊C4C23×C4311yescharacteristic
1050C2×C22⋊C4C23×C4311yescharacteristic
1051C2×C22⋊C4C23×C4311yescharacteristic
1052C2×C22⋊C4C23×C4311yescharacteristic
1053C2×C22⋊C4C23×C4311yescharacteristic
1054C2×C22⋊C4C23×C4311yescharacteristic
1055C2×C22⋊C4C23×C4311yescharacteristic
1056C2×C22⋊C4C23×C4311yescharacteristic
1057C2×C22⋊C4C23×C4311yescharacteristic
1058C2×C22⋊C4C23×C4311yescharacteristic
1059C2×C22⋊C4C23×C4311yescharacteristic
1060C2×C22⋊C4C23×C4311yescharacteristic
1061C2×C22⋊C4C23×C4311yescharacteristic
1062C2×C22⋊C4C23×C4311yescharacteristic
1063C2×C22⋊C4C23×C4311yescharacteristic
1064C2×C22⋊C4C23×C4311yescharacteristic
1065C2×C22⋊C4C23×C4311yescharacteristic
1066C2×C22⋊C4C23×C4311yescharacteristic
1067C2×C22⋊C4C23×C4311yescharacteristic
1068C2×C22⋊C4C23×C4311yescharacteristic
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×C42C23×C4311yescharacteristic
1081C2×C42C23×C4311yescharacteristic
1082C2×C42C23×C4311yescharacteristic
1083C2×C42C23×C4311yescharacteristic
1084C2×C42C23×C4311yescharacteristic
1085C2×C42C23×C4311yescharacteristic
1086C2×C42C23×C4311yescharacteristic
1087C2×C42C23×C4311yescharacteristic
1088C2×C42C23×C4311yescharacteristic
1089C2×C42C23×C4311yescharacteristic
1090#95C23×C4311yescharacteristic
1091#95C23×C4311yescharacteristic
1092#95C23×C4311yescharacteristic
1093#95C23×C4311yescharacteristic
1094#95C23×C4311yescharacteristic
1095#95C23×C4311yescharacteristic
1096#95C23×C4311yescharacteristic
1097#95C23×C4311yescharacteristic
1098#95C23×C4311yescharacteristic
1099#95C23×C4311yescharacteristic
1100#95C23×C4311yescharacteristic
1101#95C23×C4311yescharacteristic
1102#95C23×C4311yescharacteristic
1103#95C23×C4311yescharacteristic
1104#95C23×C4311yescharacteristic
1105#95C23×C4311yescharacteristic
1106#95C23×C4311yescharacteristic
1107#95C23×C4311yescharacteristic
1108#95C23×C4311yescharacteristic
1109#95C23×C4311yescharacteristic
1110#95C23×C4311yescharacteristic
1111#95C23×C4311yescharacteristic
1112#95C23×C4311yescharacteristic
1113#95C23×C4311yescharacteristic
1114#95C23×C4311yescharacteristic
1115#95C23×C4311yescharacteristic
1116#95C23×C4311yescharacteristic
1117#95C23×C4311yescharacteristic
1118#95C23×C4311yescharacteristic
1119#95C23×C4311yescharacteristic
1120#95C23×C4311yescharacteristic
1121#95C23×C4311yescharacteristic
1122#95C23×C4311yescharacteristic
1123#95C23×C4311yescharacteristic
1124#95C23×C4311yescharacteristic
1125#95C23×C4311yescharacteristic
1126#95C23×C4311yescharacteristic
1127#95C23×C4311yescharacteristic
1128#95C23×C4311yescharacteristic
1129#95C23×C4311yescharacteristic
1130C24—22no—
1131C24—22no—
1132C24—22no—
1133C24—41no—
1134C24—41no—
1135C24—41no—
1136C24—41no—
1137C24C24×C4311yescharacteristic
1138C24C24×C4311yescharacteristic
1139C24C24×C4311yescharacteristic
1140C24C24×C4311yescharacteristic
1141C24C24×C4311yescharacteristic
1142C2×Q8—22no—
1143C2×Q8—41no—
1144C2×Q8—41no—
1145C2×D4—22no—
1146C2×D4—22no—
1147C2×D4—22no—
1148C2×D4—22no—
1149C2×D4—22no—
1150C2×D4—22no—
1151C2×D4—22no—
1152C2×D4—22no—
1153C2×D4—41no—
1154C2×D4—41no—
1155C2×D4—41no—
1156C2×D4—41no—
1157C2×D4—41no—
1158C2×D4—41no—
1159C2×D4—41no—
1160C2×D4—41no—
1161C2×D4—41no—
1162C2×D4—41no—
1163C2×D4—41no—
1164C2×D4—41no—
1165C2×D4—41no—
1166C22×C4—22no—
1167C22×C4—22no—
1168C22×C4—22no—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—22no—
1172C22×C4—22no—
1173C22×C4—22no—
1174C22×C4—22no—
1175C22×C4—22no—
1176C22×C4—41no—
1177C22×C4—41no—
1178C22×C4—41no—
1179C22×C4—41no—
1180C22×C4—41no—
1181C22×C4—41no—
1182C22×C4—41no—
1183C22×C4—41no—
1184C22×C4—41no—
1185C22×C4—41no—
1186C22×C4—41no—
1187C22×C4—41no—
1188C22×C4—41no—
1189C22×C4—41no—
1190C22×C4—416no—
1191C22×C4C24×C4311yescharacteristic
1192C22×C4C24×C4311yescharacteristic
1193C22×C4C24×C4311yescharacteristic
1194C22×C4C24×C4311yescharacteristic
1195C22×C4C24×C4311yescharacteristic
1196C22×C4C24×C4311yescharacteristic
1197C22×C4C24×C4311yescharacteristic
1198C22×C4C24×C4311yescharacteristic
1199C22×C4C24×C4311yescharacteristic
1200C22×C4C24×C4311yescharacteristic
1201C22×C4C24×C4311yescharacteristic
1202C22×C4C24×C4311yescharacteristic
1203C22×C4C24×C4311yescharacteristic
1204C22×C4C24×C4311yescharacteristic
1205C22×C4C24×C4311yescharacteristic
1206C22×C4C24×C4311yescharacteristic
1207C22×C4C24×C4311yescharacteristic
1208C22×C4C24×C4311yescharacteristic
1209C22×C4C24×C4311yescharacteristic
1210C22×C4C24×C4311yescharacteristic
1211C22×C4C24×C4311yescharacteristic
1212C22×C4C24×C4311yescharacteristic
1213C22×C4C24×C4311yescharacteristic
1214C22×C4C24×C4311yescharacteristic
1215C22×C4C24×C4311yescharacteristic
1216C22×C4C24×C4311yescharacteristic
1217C4⋊C4—22no—
1218C4⋊C4—22no—
1219C4⋊C4—22no—
1220C4⋊C4—22no—
1221C4⋊C4—22no—
1222C4⋊C4—22no—
1223C4⋊C4—22no—
1224C4⋊C4—22no—
1225C4⋊C4—22no—
1226C4⋊C4—22no—
1227C4⋊C4—22no—
1228C4⋊C4—41no—
1229C4⋊C4—41no—
1230C4⋊C4—41no—
1231C4⋊C4—41no—
1232C4⋊C4—41no—
1233C4⋊C4—41no—
1234C4⋊C4—41no—
1235C4⋊C4—41no—
1236C4⋊C4—41no—
1237C4⋊C4—41no—
1238C4⋊C4—41no—
1239C4⋊C4—41no—
1240C4⋊C4—41no—
1241C4⋊C4—41no—
1242C4⋊C4—41no—
1243C4⋊C4—41no—
1244C4⋊C4—41no—
1245C4⋊C4—41no—
1246C4⋊C4—41no—
1247C4⋊C4—41no—
1248C4⋊C4—41no—
1249C4⋊C4—41no—
1250C4⋊C4—41no—
1251C4⋊C4—41no—
1252C4⋊C4—41no—
1253C4⋊C4—41no—
1254C4⋊C4—41no—
1255C22⋊C4—22no—
1256C22⋊C4—22no—
1257C22⋊C4—22no—
1258C22⋊C4—22no—
1259C22⋊C4—22no—
1260C22⋊C4—22no—
1261C22⋊C4—22no—
1262C22⋊C4—22no—
1263C22⋊C4—22no—
1264C22⋊C4—22no—
1265C22⋊C4—22no—
1266C22⋊C4—22no—
1267C22⋊C4—22no—
1268C22⋊C4—22no—
1269C22⋊C4—22no—
1270C22⋊C4—41no—
1271C22⋊C4—41no—
1272C22⋊C4—41no—
1273C22⋊C4—41no—
1274C22⋊C4—41no—
1275C22⋊C4—41no—
1276C22⋊C4—41no—
1277C22⋊C4—41no—
1278C22⋊C4—41no—
1279C22⋊C4—41no—
1280C22⋊C4—41no—
1281C22⋊C4—41no—
1282C22⋊C4—41no—
1283C22⋊C4—41no—
1284C22⋊C4—41no—
1285C22⋊C4—41no—
1286C22⋊C4—41no—
1287C22⋊C4—41no—
1288C22⋊C4—41no—
1289C22⋊C4—41no—
1290C22⋊C4—41no—
1291C22⋊C4—41no—
1292C22⋊C4—41no—
1293C22⋊C4—41no—
1294C22⋊C4—41no—
1295C22⋊C4—41no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4—41no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4#41×C4314yes—
1305C42—22no—
1306C42—22no—
1307C42—41no—
1308C42—41no—
1309C42—41no—
1310C42—41no—
1311C42—41no—
1312C42—41no—
1313C42—41no—
1314C42—41no—
1315C23—21no—
1316C23—21no—
1317C23—21no—
1318C23—21no—
1319C23—21no—
1320C23—21no—
1321C23—21no—
1322C23—21no—
1323C23—21no—
1324C23—21no—
1325C23—21no—
1326C23—21no—
1327C23—21no—
1328C23—21no—
1329C23—21no—
1330C23—21no—
1331C23—21no—
1332C23—21no—
1333C23—21no—
1334C23—21no—
1335C23—21no—
1336C23—21no—
1337C23—21no—
1338C23—21no—
1339C23—21no—
1340C23—21no—
1341C23—21no—
1342C23—21no—
1343C23—21no—
1344C23—21no—
1345C23—21no—
1346C23—21no—
1347C23—44no—
1348C23—44no—
1349C23—44no—
1350C23—44no—
1351C23—44no—
1352C23—44no—
1353C23—44no—
1354C23C2×#41×C4312yes—
1355C23H(5,𝔽2)×C4312yes—
1356C232−1+4×C4312yes—
1357C23C25×C4311yescharacteristic
1358Q8—82no—
1359D4—44no—
1360D4—44no—
1361D4—44no—
1362D4—82no—
1363D4—82no—
1364D4—82no—
1365D4—82no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
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—44no—
1441C2×C4—44no—
1442C2×C4—44no—
1443C2×C4—44no—
1444C2×C4—44no—
1445C2×C4—44no—
1446C2×C4—82no—
1447C2×C4—82no—
1448C2×C4C2×#41×C4312yes—
1449C2×C4C2×#41×C4312yes—
1450C2×C4H(5,𝔽2)×C4312yes—
1451C2×C4H(5,𝔽2)×C4312yes—
1452C22—22no—
1453C22—22no—
1454C22—22no—
1455C22—22no—
1456C22—22no—
1457C22—22no—
1458C22—22no—
1459C22—22no—
1460C22—22no—
1461C22—416no—
1462C22—41no—
1463C22—41no—
1464C22—41no—
1465C22—41no—
1466C22—41no—
1467C22—41no—
1468C22—41no—
1469C22—41no—
1470C22—41no—
1471C22—41no—
1472C22—41no—
1473C22—41no—
1474C22—41no—
1475C22—41no—
1476C22—41no—
1477C22—41no—
1478C22—41no—
1479C22—41no—
1480C22—41no—
1481C22—41no—
1482C22—41no—
1483C22—41no—
1484C22—41no—
1485C22—41no—
1486C22—41no—
1487C22—41no—
1488C22C22×#41×C4311yescharacteristic
1489C22C2×H(5,𝔽2)×C4311yescharacteristic
1490C22C2×H(5,𝔽2)×C4311yescharacteristic
1491C22C2×H(5,𝔽2)×C4311yescharacteristic
1492C22C2×2−1+4×C4311yescharacteristic
1493C22C43×#58511yescharacteristic
1494C22C43×#58511yescharacteristic
1495C4—22no—
1496C4—22no—
1497C4—22no—
1498C4—22no—
1499C4—41no—
1500C4—41no—
1501C4—41no—
1502C4—41no—
1503C4—41no—
1504C4—41no—
1505C4—41no—
1506C4—41no—
1507C4—41no—
1508C4—41no—
1509C4—41no—
1510C4—41no—
1511C4—41no—
1512C4—41no—
1513C4—41no—
1514C4—41no—
1515C4—41no—
1516C4—41no—
1517C4—41no—
1518C4—41no—
1519C4—41no—
1520C4—41no—
1521C2—42no—
1522C2—42no—
1523C2—42no—
1524C2—81no—
1525C2—81no—
1526C2C43×#346011yescharacteristic
1527C2C43×#351311yescharacteristic
1528C2C43×#352011yescharacteristic
1529C2C43×#353211yescharacteristic
1530C2C43×#353511yescharacteristic
1531C2C43×#353911yescharacteristic
1532C2C43×#354111yescharacteristic
subgroupG/H
center, socleC23×C43C25
commutator, Frattini, cosocleC23C25×C43
prime radicalC43×#2678C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C43 ◁ G

Complements

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

NH ≅ G/Ntype
1. C43×#2849C2semidirect
2. C43×#2848C2semidirect
3. C43×#2796C2semidirect
4. C43×#2790C2semidirect
5. C43×#2779C2semidirect
6. C43×#2753C2semidirect
7. C43×#2748C2semidirect
8. C43×#2740C2semidirect
9. C43×#2735C2semidirect
10. C43×#2730C2semidirect
11. C43×#2720C2semidirect
12. C43×#2707C2semidirect
13. C43×#2698C2semidirect
14. C43×#2695C2semidirect
15. C43×#2685C2semidirect
16. C43×#2685C2semidirect
18. C43×#2672C2semidirect
19. C43×#2633C2semidirect
20. C43×#2630C2semidirect
21. C43×#2578C2semidirect
22. C43×#2573C2semidirect
23. C43×#2558C2semidirect
24. C43×#2556C2semidirect
25. C43×#2468C2semidirect
26. C43×#2461C2semidirect
27. C43×#2454C2semidirect
28. C43×#2422C2semidirect
29. C43×#2335C2semidirect
30. C43×#2334C2semidirect
31. C4×#120×C43C2semidirect
35. C2×#125×C43C22semidirect
36. C2×#125×C43C22semidirect
37. C2×#124×C43C22semidirect
41. C2×#123×C43C22semidirect
51. C43×#400C22semidirect
52. C43×#400C22semidirect
53. C43×#400C22semidirect
54. C43×#400C22semidirect
58. C43×#399C22semidirect
59. C43×#399C22semidirect
60. C43×#398C22semidirect
61. C43×#398C22semidirect
62. C43×#398C22semidirect
63. C43×#398C22semidirect
64. C43×#398C22semidirect
65. C43×#398C22semidirect
70. C43×#397C22semidirect
71. C43×#397C22semidirect
72. C43×#397C22semidirect
73. C43×#397C22semidirect
79. C43×#396C22semidirect
80. C43×#396C22semidirect
81. C43×#396C22semidirect
82. C43×#396C22semidirect
83. C43×#395C22semidirect
84. C43×#395C22semidirect
95. C43×#394C22semidirect
96. C43×#394C22semidirect
99. C43×#391C22semidirect
106. C43×#389C22semidirect
107. C43×#389C22semidirect
108. C43×#389C22semidirect
109. C43×#389C22semidirect
110. C43×#389C22semidirect
111. C43×#389C22semidirect
125. C43×#388C22semidirect
126. C43×#388C22semidirect
127. C43×#388C22semidirect
128. C43×#388C22semidirect
129. C43×#388C22semidirect
130. C43×#388C22semidirect
131. C43×#388C22semidirect
132. C43×#387C22semidirect
133. C43×#387C22semidirect
134. C43×#387C22semidirect
135. C43×#387C22semidirect
136. C43×#387C22semidirect
137. C43×#387C22semidirect
138. C43×#387C22semidirect
139. C43×#387C22semidirect
140. C43×#387C22semidirect
162. C43×#385C22semidirect
163. C43×#385C22semidirect
164. C43×#385C22semidirect
165. C43×#384C22semidirect
166. C43×#383C22semidirect
167. C43×#382C22semidirect
173. C43×#380C22semidirect
174. C43×#380C22semidirect
175. C43×#380C22semidirect
180. C4×C4⋊C4×C43C22semidirect
181. C4×C4⋊C4×C43C22semidirect
182. C4×C4⋊C4×C43C22semidirect
186. C4×C22⋊C4×C43C22semidirect
685. #36888C43direct (N × H)
755. #2849C2×C43semidirect
756. #2848C2×C43semidirect
757. #2796C2×C43semidirect
758. #2790C2×C43semidirect
759. #2779C2×C43semidirect
760. #2753C2×C43semidirect
761. #2748C2×C43semidirect
762. #2740C2×C43semidirect
763. #2735C2×C43semidirect
764. #2730C2×C43semidirect
765. #2720C2×C43semidirect
766. #2707C2×C43semidirect
767. #2698C2×C43semidirect
768. #2695C2×C43semidirect
769. #2685C2×C43semidirect
770. #2685C2×C43semidirect
772. #2672C2×C43semidirect
773. #2633C2×C43semidirect
774. #2630C2×C43semidirect
775. #2578C2×C43semidirect
776. #2573C2×C43semidirect
777. #2558C2×C43semidirect
778. #2556C2×C43semidirect
779. #2468C2×C43semidirect
780. #2461C2×C43semidirect
781. #2454C2×C43semidirect
782. #2422C2×C43semidirect
783. #2335C2×C43semidirect
784. #2334C2×C43semidirect
785. C4×#120C2×C43semidirect
801. C2×#125C22×C43semidirect
802. C2×#125C22×C43semidirect
803. C2×#124C22×C43semidirect
807. C2×#123C22×C43semidirect
817. #400C22×C43semidirect
818. #400C22×C43semidirect
819. #400C22×C43semidirect
820. #400C22×C43semidirect
824. #399C22×C43semidirect
825. #399C22×C43semidirect
826. #398C22×C43semidirect
827. #398C22×C43semidirect
828. #398C22×C43semidirect
829. #398C22×C43semidirect
830. #398C22×C43semidirect
831. #398C22×C43semidirect
836. #397C22×C43semidirect
837. #397C22×C43semidirect
838. #397C22×C43semidirect
839. #397C22×C43semidirect
845. #396C22×C43semidirect
846. #396C22×C43semidirect
847. #396C22×C43semidirect
848. #396C22×C43semidirect
849. #395C22×C43semidirect
850. #395C22×C43semidirect
861. #394C22×C43semidirect
862. #394C22×C43semidirect
865. #391C22×C43semidirect
872. #389C22×C43semidirect
873. #389C22×C43semidirect
874. #389C22×C43semidirect
875. #389C22×C43semidirect
876. #389C22×C43semidirect
877. #389C22×C43semidirect
891. #388C22×C43semidirect
892. #388C22×C43semidirect
893. #388C22×C43semidirect
894. #388C22×C43semidirect
895. #388C22×C43semidirect
896. #388C22×C43semidirect
897. #388C22×C43semidirect
898. #387C22×C43semidirect
899. #387C22×C43semidirect
900. #387C22×C43semidirect
901. #387C22×C43semidirect
902. #387C22×C43semidirect
903. #387C22×C43semidirect
904. #387C22×C43semidirect
905. #387C22×C43semidirect
906. #387C22×C43semidirect
928. #385C22×C43semidirect
929. #385C22×C43semidirect
930. #385C22×C43semidirect
931. #384C22×C43semidirect
932. #383C22×C43semidirect
933. #382C22×C43semidirect
939. #380C22×C43semidirect
940. #380C22×C43semidirect
941. #380C22×C43semidirect
946. C4×C4⋊C4C22×C43semidirect
947. C4×C4⋊C4C22×C43semidirect
948. C4×C4⋊C4C22×C43semidirect
952. C4×C22⋊C4C22×C43semidirect
953. C43#36888direct (N × H)

Maximal subgroups

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

subgroupindex
C43×#28492
C43×#28482
C43×#27962
C43×#27902
C43×#27792
C43×#27532
C43×#27482
C43×#27402
C43×#27352
C43×#27302
C43×#27202
C43×#27072
C43×#26982
C43×#26952
C43×#26852
C43×#26782
C43×#26722
C43×#26332
C43×#26302
C43×#25782
C43×#25732
C43×#25582
C43×#25562
C43×#24682
C43×#24612
C43×#24542
C43×#24222
C43×#23352
C43×#23342
C4×#120×C432
#3688843