Finite Group Databasebeta

← C43×#36791 #24956808

Subgroups — C43×#36791 #24956808

Order 11008.

2142 conjugacy classes of subgroups.

The subgroup lattice has 1628 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C43×#2849C211yesmaximal, characteristic, complemented
2C43×#2847C211yesmaximal, characteristic, complemented
3C43×#2804C211yesmaximal, characteristic, complemented
4C43×#2797C211yesmaximal, characteristic, complemented
5C43×#2788C211yesmaximal, characteristic, complemented
6C43×#2784C211yesmaximal, characteristic, complemented
7C43×#2780C211yesmaximal, characteristic, complemented
8C43×#2778C211yesmaximal, characteristic, complemented
9C43×#2751C211yesmaximal, characteristic, complemented
10C43×#2750C211yesmaximal, characteristic, complemented
11C43×#2745C211yesmaximal, characteristic, complemented
12C43×#2714C211yesmaximal, characteristic, complemented
13C43×#2710C211yesmaximal, characteristic, complemented
14C43×#2708C211yesmaximal, characteristic, complemented
15C43×#2708C211yesmaximal, characteristic, complemented
16C43×#2695C211yesmaximal, characteristic, complemented
17C43×#2686C211yesmaximal, characteristic, complemented
18C43×#2682C211yesmaximal, characteristic, complemented
19C43×#2643C211yesmaximal, characteristic, complemented
20C43×#2639C211yesmaximal, characteristic, complemented
21C43×#2481C211yesmaximal, characteristic, complemented
22C43×#2472C211yesmaximal, characteristic, complemented
23C43×#2443C211yesmaximal, characteristic, complemented
24C43×#2438C211yesmaximal, characteristic, complemented
25C43×#2430C211yesmaximal, characteristic, complemented
26C43×#2424C211yesmaximal, characteristic, complemented
27C43×#2411C211yesmaximal, characteristic, complemented
28C43×#2404C211yesmaximal, characteristic, complemented
29C43×#2322C211yesmaximal, characteristic, complemented
30C43×#2311C211yesmaximal, characteristic, complemented
31C2×C43×#385C211yesmaximal, characteristic, complemented
32C22×#41×C43C2211yescharacteristic
33C24×C4×C43C2211yescharacteristic
34C2×#126×C43C2211yescharacteristic, complemented
35C2×#124×C43C2211yescharacteristic
36C2×#123×C43C2211yescharacteristic
37C2×#123×C43C2211yescharacteristic
38C2×#123×C43C2211yescharacteristic
39C2×#123×C43C2211yescharacteristic, complemented
40C2×C22⋊Q8×C43C2211yescharacteristic
41C2×#121×C43C2211yescharacteristic
42C2×#121×C43C2211yescharacteristic
43C2×#121×C43C2211yescharacteristic
44C2×#121×C43C2211yescharacteristic
45C2×#121×C43C2211yescharacteristic
46C2×#120×C43C2211yescharacteristic
47C2×#120×C43C2211yescharacteristic
48C2×#120×C43C2211yescharacteristic
49C2×C4×D4×C43C2211yescharacteristic
50C2×#117×C43C2211yescharacteristic
51C22×C4⋊C4×C43C2211yescharacteristic
52C22×C4⋊C4×C43C2211yescharacteristic
53C22×C22⋊C4×C43C2211yescharacteristic
54C22×C22⋊C4×C43C2211yescharacteristic
55C43×#401C2211yescharacteristic, complemented
56C43×#400C2211yescharacteristic, complemented
57C43×#400C2211yescharacteristic, complemented
58C43×#400C2211yescharacteristic, complemented
59C43×#400C2211yescharacteristic, complemented
60C43×#400C2211yescharacteristic, complemented
61C43×#400C2211yescharacteristic, complemented
62C43×#400C2211yescharacteristic, complemented
63C43×#400C2211yescharacteristic, complemented
64C43×#399C2211yescharacteristic, complemented
65C43×#398C2211yescharacteristic, complemented
66C43×#398C2211yescharacteristic, complemented
67C43×#398C2211yescharacteristic, complemented
68C43×#397C2211yescharacteristic
69C43×#397C2211yescharacteristic, complemented
70C43×#397C2211yescharacteristic, complemented
71C43×#397C2211yescharacteristic, complemented
72C43×#397C2211yescharacteristic, complemented
73C43×#397C2211yescharacteristic, complemented
74C43×#397C2211yescharacteristic, complemented
75C43×#397C2211yescharacteristic, complemented
76C43×#396C2211yescharacteristic
77C43×#396C2211yescharacteristic
78C43×#396C2211yescharacteristic
79C43×#396C2211yescharacteristic, complemented
80C43×#396C2211yescharacteristic, complemented
81C43×#395C2211yescharacteristic, complemented
82C43×#395C2211yescharacteristic, complemented
83C43×#394C2211yescharacteristic
84C43×#394C2211yescharacteristic
85C43×#394C2211yescharacteristic
86C43×#394C2211yescharacteristic
87C43×#394C2211yescharacteristic
88C43×#394C2211yescharacteristic
89C43×#394C2211yescharacteristic, complemented
90C43×#394C2211yescharacteristic, complemented
91C43×#394C2211yescharacteristic, complemented
92C43×#394C2211yescharacteristic, complemented
93C43×#393C2211yescharacteristic
94C43×#393C2211yescharacteristic
95C43×#393C2211yescharacteristic
96C43×#393C2211yescharacteristic, complemented
97C43×#393C2211yescharacteristic, complemented
98C43×#393C2211yescharacteristic, complemented
99C43×#392C2211yescharacteristic
100C43×#392C2211yescharacteristic
101C43×#392C2211yescharacteristic
102C43×#392C2211yescharacteristic, complemented
103C43×#391C2211yescharacteristic, complemented
104C43×#391C2211yescharacteristic, complemented
105C43×#391C2211yescharacteristic, complemented
106C43×#390C2211yescharacteristic
107C43×#390C2211yescharacteristic
108C43×#390C2211yescharacteristic
109C43×#390C2211yescharacteristic
110C43×#390C2211yescharacteristic, complemented
111C43×#390C2211yescharacteristic, complemented
112C43×#389C2211yescharacteristic, complemented
113C43×#389C2211yescharacteristic, complemented
114C43×#389C2211yescharacteristic, complemented
115C43×#388C2211yescharacteristic
116C43×#388C2211yescharacteristic
117C43×#388C2211yescharacteristic
118C43×#388C2211yescharacteristic
119C43×#388C2211yescharacteristic
120C43×#388C2211yescharacteristic, complemented
121C43×#388C2211yescharacteristic, complemented
122C43×#388C2211yescharacteristic, complemented
123C43×#388C2211yescharacteristic, complemented
124C43×#387C2211yescharacteristic, complemented
125C43×#387C2211yescharacteristic, complemented
126C43×#387C2211yescharacteristic, complemented
127C43×#387C2211yescharacteristic, complemented
128C43×#387C2211yescharacteristic, complemented
129C43×#387C2211yescharacteristic, complemented
130C43×#387C2211yescharacteristic, complemented
131C43×#386C2211yescharacteristic
132C43×#386C2211yescharacteristic
133C43×#386C2211yescharacteristic
134C43×#386C2211yescharacteristic
135C43×#386C2211yescharacteristic
136C43×#386C2211yescharacteristic
137C43×#386C2211yescharacteristic
138C43×#386C2211yescharacteristic
139C43×#386C2211yescharacteristic
140C43×#386C2211yescharacteristic
141C43×#386C2211yescharacteristic
142C43×#386C2211yescharacteristic
143C43×#386C2211yescharacteristic
144C43×#386C2211yescharacteristic
145C43×#386C2211yescharacteristic
146C43×#386C2211yescharacteristic
147C43×#386C2211yescharacteristic
148C43×#386C2211yescharacteristic
149C43×#386C2211yescharacteristic
150C43×#386C2211yescharacteristic
151C43×#386C2211yescharacteristic
152C43×#386C2211yescharacteristic, complemented
153C43×#386C2211yescharacteristic, complemented
154C43×#385C2211yescharacteristic
155C43×#385C2211yescharacteristic
156C43×#385C2211yescharacteristic
157C43×#385C2211yescharacteristic
158C43×#385C2211yescharacteristic
159C43×#385C2211yescharacteristic
160C43×#385C2211yescharacteristic
161C43×#385C2211yescharacteristic
162C43×#385C2211yescharacteristic
163C43×#385C2211yescharacteristic
164C43×#385C2211yescharacteristic
165C43×#385C2211yescharacteristic
166C43×#385C2211yescharacteristic
167C43×#385C2211yescharacteristic
168C43×#385C2211yescharacteristic, complemented
169C43×#385C2211yescharacteristic, complemented
170C43×#385C2211yescharacteristic, complemented
171C43×#385C2211yescharacteristic, complemented
172C43×#385C2211yescharacteristic, complemented
173C43×#381C2211yescharacteristic
174C43×#381C2211yescharacteristic
175C43×#381C2211yescharacteristic
176C43×#380C2211yescharacteristic
177C43×#380C2211yescharacteristic
178C43×#380C2211yescharacteristic
179C43×#380C2211yescharacteristic, complemented
180C43×#380C2211yescharacteristic, complemented
181C43×#380C2211yescharacteristic, complemented
182C43×#380C2211yescharacteristic, complemented
183C43×#379C2211yescharacteristic
184C4×C22⋊C4×C43C2211yescharacteristic
185C2×#95×C43C2211yescharacteristic
186C2×#95×C43C2211yescharacteristic
187C25×C43C2311yescharacteristic
188C2×#41×C43—24no—
189C2×#41×C43—42no—
190C2×#41×C43—42no—
191C22×Q8×C43C2311yescharacteristic
192C22×Q8×C43C2311yescharacteristic
193C22×D4×C43C2311yescharacteristic
194C22×D4×C43C2311yescharacteristic
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
204C22×D4×C43C2311yescharacteristic
205C23×C4×C43—42no—
206C23×C4×C43—42no—
207C23×C4×C43—42no—
208C23×C4×C43C2311yescharacteristic
209C23×C4×C43C2311yescharacteristic
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
221#126×C43—42no—
222#124×C43—42no—
223#123×C43—24no—
224#123×C43—42no—
225#123×C43—42no—
226#123×C43—42no—
227C22⋊Q8×C43—42no—
228#121×C43—42no—
229#121×C43—42no—
230#121×C43—42no—
231#121×C43—42no—
232#121×C43—42no—
233#120×C43—42no—
234#120×C43—42no—
235#120×C43—42no—
236C4×D4×C43—42no—
237#117×C43—42no—
238C2×C4⋊C4×C43—42no—
239C2×C4⋊C4×C43—42no—
240C2×C4⋊C4×C43C2311yescharacteristic
241C2×C4⋊C4×C43C2311yescharacteristic
242C2×C4⋊C4×C43C2311yescharacteristic
243C2×C4⋊C4×C43C2311yescharacteristic
244C2×C4⋊C4×C43C2311yescharacteristic
245C2×C4⋊C4×C43C2311yescharacteristic
246C2×C4⋊C4×C43C2311yescharacteristic
247C2×C4⋊C4×C43C2311yescharacteristic
248C2×C4⋊C4×C43C2311yescharacteristic
249C2×C4⋊C4×C43C2311yescharacteristic
250C2×C4⋊C4×C43C2311yescharacteristic
251C2×C4⋊C4×C43C2311yescharacteristic
252C2×C4⋊C4×C43C2311yescharacteristic
253C2×C4⋊C4×C43C2311yescharacteristic
254C2×C4⋊C4×C43C2311yescharacteristic
255C2×C4⋊C4×C43C2311yescharacteristic
256C2×C4⋊C4×C43C2311yescharacteristic
257C2×C4⋊C4×C43C2311yescharacteristic
258C2×C4⋊C4×C43C2311yescharacteristic
259C2×C4⋊C4×C43C2311yescharacteristic
260C2×C4⋊C4×C43C2311yescharacteristic
261C2×C4⋊C4×C43C2311yescharacteristic
262C2×C4⋊C4×C43C2311yescharacteristic
263C2×C4⋊C4×C43C2311yescharacteristic
264C2×C4⋊C4×C43C2311yescharacteristic
265C2×C4⋊C4×C43C2311yescharacteristic
266C2×C4⋊C4×C43C2311yescharacteristic
267C2×C4⋊C4×C43C2311yescharacteristic
268C2×C22⋊C4×C43—24no—
269C2×C22⋊C4×C43—42no—
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×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×C42×C43C2311yescharacteristic
321C2×C42×C43C2311yescharacteristic
322C2×C42×C43C2311yescharacteristic
323C2×C42×C43C2311yescharacteristic
324C2×C42×C43C2311yescharacteristic
325#95×C43C2311yescharacteristic
326#95×C43C2311yescharacteristic
327#95×C43C2311yescharacteristic
328#95×C43C2311yescharacteristic
329#95×C43C2311yescharacteristic
330#95×C43C2311yescharacteristic
331#95×C43C2311yescharacteristic
332#95×C43C2311yescharacteristic
333#95×C43C2311yescharacteristic
334#95×C43C2311yescharacteristic
335#95×C43C2311yescharacteristic
336#95×C43C2311yescharacteristic
337#95×C43C2311yescharacteristic
338#95×C43C2311yescharacteristic
339#95×C43C2311yescharacteristic
340#95×C43C2311yescharacteristic
341#95×C43C2311yescharacteristic
342#95×C43C2311yescharacteristic
343#95×C43C2311yescharacteristic
344#95×C43C2311yescharacteristic
345#95×C43C2311yescharacteristic
346#95×C43C2311yescharacteristic
347#95×C43C2311yescharacteristic
348#95×C43C2311yescharacteristic
349#95×C43C2311yescharacteristic
350#95×C43C2311yescharacteristic
351#95×C43C2311yescharacteristic
352#95×C43C2311yescharacteristic
353#95×C43C2311yescharacteristic
354#95×C43C2311yescharacteristic
355#95×C43C2311yescharacteristic
356#95×C43C2311yescharacteristic
357#95×C43C2311yescharacteristic
358#95×C43C2311yescharacteristic
359#95×C43C2311yescharacteristic
360#95×C43C2311yescharacteristic
361#95×C43C2311yescharacteristic
362#95×C43C2311yescharacteristic
363#95×C43C2311yescharacteristic
364#95×C43C2311yescharacteristic
365#95×C43C2311yescharacteristic
366#95×C43C2311yescharacteristic
367#95×C43C2311yescharacteristic
368#95×C43C2311yescharacteristic
369C24×C43—22no—
370C24×C43—22no—
371C24×C43—22no—
372C24×C43—22no—
373C24×C43—22no—
374C24×C43—41no—
375C24×C43—41no—
376C24×C43C2411yescharacteristic
377C24×C43C2411yescharacteristic
378C24×C43C2411yescharacteristic
379C24×C43C2411yescharacteristic
380C24×C43C2411yescharacteristic
381C24×C43C2411yescharacteristic
382#41×C43—416no—
383C2×Q8×C43—22no—
384C2×Q8×C43—41no—
385C2×Q8×C43—41no—
386C2×Q8×C43—41no—
387C2×Q8×C43—41no—
388C2×Q8×C43—41no—
389C2×D4×C43—22no—
390C2×D4×C43—22no—
391C2×D4×C43—22no—
392C2×D4×C43—22no—
393C2×D4×C43—22no—
394C2×D4×C43—22no—
395C2×D4×C43—22no—
396C2×D4×C43—22no—
397C2×D4×C43—22no—
398C2×D4×C43—22no—
399C2×D4×C43—22no—
400C2×D4×C43—22no—
401C2×D4×C43—22no—
402C2×D4×C43—22no—
403C2×D4×C43—22no—
404C2×D4×C43—22no—
405C2×D4×C43—22no—
406C2×D4×C43—41no—
407C2×D4×C43—41no—
408C2×D4×C43—41no—
409C2×D4×C43—41no—
410C2×D4×C43—41no—
411C2×D4×C43—41no—
412C2×D4×C43—41no—
413C2×D4×C43—41no—
414C2×D4×C43—41no—
415C2×D4×C43—41no—
416C2×D4×C43—41no—
417C2×D4×C43—41no—
418C2×D4×C43—41no—
419C2×D4×C43—41no—
420C2×D4×C43—41no—
421C2×D4×C43—41no—
422C2×D4×C43—41no—
423C2×D4×C43—41no—
424C2×D4×C43—41no—
425C22×C4×C43—22no—
426C22×C4×C43—22no—
427C22×C4×C43—22no—
428C22×C4×C43—22no—
429C22×C4×C43—22no—
430C22×C4×C43—22no—
431C22×C4×C43—22no—
432C22×C4×C43—22no—
433C22×C4×C43—22no—
434C22×C4×C43—22no—
435C22×C4×C43—22no—
436C22×C4×C43—22no—
437C22×C4×C43—22no—
438C22×C4×C43—22no—
439C22×C4×C43—41no—
440C22×C4×C43—41no—
441C22×C4×C43—41no—
442C22×C4×C43—41no—
443C22×C4×C43—41no—
444C22×C4×C43—41no—
445C22×C4×C43—41no—
446C22×C4×C43—41no—
447C22×C4×C43—41no—
448C22×C4×C43—41no—
449C22×C4×C43—41no—
450C22×C4×C43—41no—
451C22×C4×C43—41no—
452C22×C4×C43—41no—
453C22×C4×C43—41no—
454C22×C4×C43—41no—
455C22×C4×C43—41no—
456C22×C4×C43—41no—
457C22×C4×C43—41no—
458C22×C4×C43—41no—
459C22×C4×C43—41no—
460C22×C4×C43—41no—
461C22×C4×C43—41no—
462C22×C4×C43—41no—
463C22×C4×C43—416no—
464C22×C4×C43#4114yes—
465C22×C4×C43C2411yescharacteristic
466C22×C4×C43C2411yescharacteristic
467C22×C4×C43C2411yescharacteristic
468C22×C4×C43C2411yescharacteristic
469C22×C4×C43C2411yescharacteristic
470C22×C4×C43C2411yescharacteristic
471C22×C4×C43C2411yescharacteristic
472C22×C4×C43C2411yescharacteristic
473C22×C4×C43C2411yescharacteristic
474C22×C4×C43C2411yescharacteristic
475C22×C4×C43C2411yescharacteristic
476C22×C4×C43C2411yescharacteristic
477C22×C4×C43C2411yescharacteristic
478C22×C4×C43C2411yescharacteristic
479C22×C4×C43C2411yescharacteristic
480C22×C4×C43C2411yescharacteristic
481C22×C4×C43C2411yescharacteristic
482C22×C4×C43C2411yescharacteristic
483C22×C4×C43C2411yescharacteristic
484C22×C4×C43C2411yescharacteristic
485C22×C4×C43C2411yescharacteristic
486C22×C4×C43C2411yescharacteristic
487C22×C4×C43C2411yescharacteristic
488C22×C4×C43C2411yescharacteristic
489C22×C4×C43C2411yescharacteristic
490C4⋊C4×C43—22no—
491C4⋊C4×C43—22no—
492C4⋊C4×C43—22no—
493C4⋊C4×C43—22no—
494C4⋊C4×C43—22no—
495C4⋊C4×C43—22no—
496C4⋊C4×C43—41no—
497C4⋊C4×C43—41no—
498C4⋊C4×C43—41no—
499C4⋊C4×C43—41no—
500C4⋊C4×C43—41no—
501C4⋊C4×C43—41no—
502C4⋊C4×C43—41no—
503C4⋊C4×C43—41no—
504C4⋊C4×C43—41no—
505C4⋊C4×C43—41no—
506C4⋊C4×C43—41no—
507C4⋊C4×C43—41no—
508C4⋊C4×C43—41no—
509C4⋊C4×C43—41no—
510C4⋊C4×C43—41no—
511C4⋊C4×C43—41no—
512C4⋊C4×C43—41no—
513C4⋊C4×C43—41no—
514C4⋊C4×C43—41no—
515C4⋊C4×C43—41no—
516C4⋊C4×C43—41no—
517C4⋊C4×C43—41no—
518C22⋊C4×C43—22no—
519C22⋊C4×C43—22no—
520C22⋊C4×C43—22no—
521C22⋊C4×C43—22no—
522C22⋊C4×C43—22no—
523C22⋊C4×C43—22no—
524C22⋊C4×C43—22no—
525C22⋊C4×C43—22no—
526C22⋊C4×C43—22no—
527C22⋊C4×C43—22no—
528C22⋊C4×C43—22no—
529C22⋊C4×C43—22no—
530C22⋊C4×C43—22no—
531C22⋊C4×C43—22no—
532C22⋊C4×C43—22no—
533C22⋊C4×C43—22no—
534C22⋊C4×C43—41no—
535C22⋊C4×C43—41no—
536C22⋊C4×C43—41no—
537C22⋊C4×C43—41no—
538C22⋊C4×C43—41no—
539C22⋊C4×C43—41no—
540C22⋊C4×C43—41no—
541C22⋊C4×C43—41no—
542C22⋊C4×C43—41no—
543C22⋊C4×C43—41no—
544C22⋊C4×C43—41no—
545C22⋊C4×C43—41no—
546C22⋊C4×C43—41no—
547C22⋊C4×C43—41no—
548C22⋊C4×C43—41no—
549C22⋊C4×C43—41no—
550C22⋊C4×C43—41no—
551C22⋊C4×C43—41no—
552C22⋊C4×C43—41no—
553C22⋊C4×C43—41no—
554C22⋊C4×C43—41no—
555C22⋊C4×C43—41no—
556C22⋊C4×C43—41no—
557C22⋊C4×C43—41no—
558C22⋊C4×C43—41no—
559C22⋊C4×C43—41no—
560C22⋊C4×C43—41no—
561C22⋊C4×C43—41no—
562C22⋊C4×C43—41no—
563C22⋊C4×C43—41no—
564C22⋊C4×C43—41no—
565C22⋊C4×C43—41no—
566C22⋊C4×C43—41no—
567C22⋊C4×C43—41no—
568C42×C43—41no—
569C42×C43—41no—
570C42×C43—41no—
571C42×C43—41no—
572C42×C43—41no—
573C23×C43—21no—
574C23×C43—21no—
575C23×C43—21no—
576C23×C43—21no—
577C23×C43—28no—
578C23×C43—21no—
579C23×C43—21no—
580C23×C43—21no—
581C23×C43—21no—
582C23×C43—21no—
583C23×C43—21no—
584C23×C43—21no—
585C23×C43—21no—
586C23×C43—21no—
587C23×C43—21no—
588C23×C43—21no—
589C23×C43—21no—
590C23×C43—21no—
591C23×C43—21no—
592C23×C43—21no—
593C23×C43—21no—
594C23×C43—21no—
595C23×C43—21no—
596C23×C43—21no—
597C23×C43—21no—
598C23×C43—21no—
599C23×C43—21no—
600C23×C43—21no—
601C23×C43—21no—
602C23×C43—21no—
603C23×C43—21no—
604C23×C43—21no—
605C23×C43—21no—
606C23×C43—21no—
607C23×C43—21no—
608C23×C43—21no—
609C23×C43—21no—
610C23×C43—21no—
611C23×C43—44no—
612C23×C43—44no—
613C23×C43—44no—
614C23×C43—44no—
615C23×C43—44no—
616C23×C43—44no—
617C23×C43C2×#4112yes—
618C23×C43H(5,𝔽2)12yes—
619C23×C43H(5,𝔽2)12yes—
620C23×C43H(5,𝔽2)12yes—
621C23×C432−1+412yes—
622C23×C43C2511yescharacteristic
623Q8×C43—44no—
624Q8×C43—82no—
625D4×C43—44no—
626D4×C43—44no—
627D4×C43—44no—
628D4×C43—44no—
629D4×C43—82no—
630D4×C43—82no—
631D4×C43—82no—
632D4×C43—82no—
633D4×C43—82no—
634D4×C43—82no—
635D4×C43—82no—
636D4×C43—82no—
637C2×C4×C43—28no—
638C2×C4×C43—21no—
639C2×C4×C43—21no—
640C2×C4×C43—21no—
641C2×C4×C43—21no—
642C2×C4×C43—21no—
643C2×C4×C43—21no—
644C2×C4×C43—21no—
645C2×C4×C43—21no—
646C2×C4×C43—21no—
647C2×C4×C43—21no—
648C2×C4×C43—21no—
649C2×C4×C43—21no—
650C2×C4×C43—21no—
651C2×C4×C43—21no—
652C2×C4×C43—21no—
653C2×C4×C43—21no—
654C2×C4×C43—21no—
655C2×C4×C43—21no—
656C2×C4×C43—21no—
657C2×C4×C43—21no—
658C2×C4×C43—21no—
659C2×C4×C43—21no—
660C2×C4×C43—21no—
661C2×C4×C43—21no—
662C2×C4×C43—21no—
663C2×C4×C43—21no—
664C2×C4×C43—21no—
665C2×C4×C43—21no—
666C2×C4×C43—21no—
667C2×C4×C43—21no—
668C2×C4×C43—21no—
669C2×C4×C43—21no—
670C2×C4×C43—21no—
671C2×C4×C43—21no—
672C2×C4×C43—21no—
673C2×C4×C43—21no—
674C2×C4×C43—21no—
675C2×C4×C43—21no—
676C2×C4×C43—21no—
677C2×C4×C43—21no—
678C2×C4×C43—21no—
679C2×C4×C43—21no—
680C2×C4×C43—21no—
681C2×C4×C43—21no—
682C2×C4×C43—21no—
683C2×C4×C43—21no—
684C2×C4×C43—21no—
685C2×C4×C43—21no—
686C2×C4×C43—21no—
687C2×C4×C43—21no—
688C2×C4×C43—21no—
689C2×C4×C43—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—44no—
711C2×C4×C43—44no—
712C2×C4×C43—44no—
713C2×C4×C43—44no—
714C2×C4×C43—44no—
715C2×C4×C43—44no—
716C2×C4×C43—44no—
717C2×C4×C43—44no—
718C2×C4×C43—44no—
719C2×C4×C43—82no—
720C2×C4×C43—82no—
721C2×C4×C43—82no—
722C2×C4×C43C2×#4112yes—
723C2×C4×C43C2×#4112yes—
724C2×C4×C43H(5,𝔽2)12yes—
725#36791C4311yesmaximal, characteristic, direct product factor, Sylow
726C22×C43—22no—
727C22×C43—22no—
728C22×C43—22no—
729C22×C43—22no—
730C22×C43—22no—
731C22×C43—22no—
732C22×C43—22no—
733C22×C43—22no—
734C22×C43—22no—
735C22×C43—22no—
736C22×C43—22no—
737C22×C43—22no—
738C22×C43—416no—
739C22×C43—41no—
740C22×C43—41no—
741C22×C43—41no—
742C22×C43—41no—
743C22×C43—41no—
744C22×C43—41no—
745C22×C43—41no—
746C22×C43—41no—
747C22×C43—41no—
748C22×C43—41no—
749C22×C43—41no—
750C22×C43—41no—
751C22×C43—41no—
752C22×C43—41no—
753C22×C43—41no—
754C22×C43—41no—
755C22×C43—41no—
756C22×C43—41no—
757C22×C43—41no—
758C22×C43—41no—
759C22×C43—41no—
760C22×C43—41no—
761C22×C43—41no—
762C22×C43—41no—
763C22×C43—41no—
764C22×C43—41no—
765C22×C43—41no—
766C22×C43—41no—
767C22×C43—41no—
768C22×C43#53814yes—
769C22×C43C22×#4111yescharacteristic
770C22×C43C2×H(5,𝔽2)11yescharacteristic
771C22×C43C2×H(5,𝔽2)11yescharacteristic
772C22×C43C2×H(5,𝔽2)11yescharacteristic
773C22×C43C2×H(5,𝔽2)11yescharacteristic
774C22×C43C2×2−1+411yescharacteristic
775C22×C43#58511yescharacteristic
776C4×C43—22no—
777C4×C43—22no—
778C4×C43—22no—
779C4×C43—41no—
780C4×C43—41no—
781C4×C43—41no—
782C4×C43—41no—
783C4×C43—41no—
784C4×C43—41no—
785C4×C43—41no—
786C4×C43—41no—
787C4×C43—41no—
788C4×C43—41no—
789C4×C43—41no—
790C4×C43—41no—
791C4×C43—41no—
792C4×C43—41no—
793C4×C43—41no—
794C4×C43—41no—
795C4×C43—41no—
796C4×C43—41no—
797C4×C43—41no—
798C4×C43—41no—
799C4×C43—41no—
800C4×C43—41no—
801#2849C2×C4311yescharacteristic, complemented
802#2847C2×C4311yescharacteristic, complemented
803#2804C2×C4311yescharacteristic, complemented
804#2797C2×C4311yescharacteristic, complemented
805#2788C2×C4311yescharacteristic, complemented
806#2784C2×C4311yescharacteristic, complemented
807#2780C2×C4311yescharacteristic, complemented
808#2778C2×C4311yescharacteristic, complemented
809#2751C2×C4311yescharacteristic, complemented
810#2750C2×C4311yescharacteristic, complemented
811#2745C2×C4311yescharacteristic, complemented
812#2714C2×C4311yescharacteristic, complemented
813#2710C2×C4311yescharacteristic, complemented
814#2708C2×C4311yescharacteristic, complemented
815#2708C2×C4311yescharacteristic, complemented
816#2695C2×C4311yescharacteristic, complemented
817#2686C2×C4311yescharacteristic, complemented
818#2682C2×C4311yescharacteristic, complemented
819#2643C2×C4311yescharacteristic, complemented
820#2639C2×C4311yescharacteristic, complemented
821#2481C2×C4311yescharacteristic, complemented
822#2472C2×C4311yescharacteristic, complemented
823#2443C2×C4311yescharacteristic, complemented
824#2438C2×C4311yescharacteristic, complemented
825#2430C2×C4311yescharacteristic, complemented
826#2424C2×C4311yescharacteristic, complemented
827#2411C2×C4311yescharacteristic, complemented
828#2404C2×C4311yescharacteristic, complemented
829#2322C2×C4311yescharacteristic, complemented
830#2311C2×C4311yescharacteristic, complemented
831C2×#385C2×C4311yescharacteristic, complemented
832C2×C43—24no—
833C2×C43—42no—
834C2×C43—42no—
835C2×C43—81no—
836C2×C43—81no—
837C2×C43—81no—
838C2×C43C2×#53811yescharacteristic
839C2×C43#349211yescharacteristic
840C2×C43#350611yescharacteristic
841C2×C43#353211yescharacteristic
842C2×C43#353411yescharacteristic
843C2×C43#353511yescharacteristic
844C2×C43#353611yescharacteristic
845C22×#41C22×C4311yescharacteristic
846C24×C4C22×C4311yescharacteristic
847C2×#126C22×C4311yescharacteristic, complemented
848C2×#124C22×C4311yescharacteristic
849C2×#123C22×C4311yescharacteristic
850C2×#123C22×C4311yescharacteristic
851C2×#123C22×C4311yescharacteristic
852C2×#123C22×C4311yescharacteristic, complemented
853C2×C22⋊Q8C22×C4311yescharacteristic
854C2×#121C22×C4311yescharacteristic
855C2×#121C22×C4311yescharacteristic
856C2×#121C22×C4311yescharacteristic
857C2×#121C22×C4311yescharacteristic
858C2×#121C22×C4311yescharacteristic
859C2×#120C22×C4311yescharacteristic
860C2×#120C22×C4311yescharacteristic
861C2×#120C22×C4311yescharacteristic
862C2×C4×D4C22×C4311yescharacteristic
863C2×#117C22×C4311yescharacteristic
864C22×C4⋊C4C22×C4311yescharacteristic
865C22×C4⋊C4C22×C4311yescharacteristic
866C22×C22⋊C4C22×C4311yescharacteristic
867C22×C22⋊C4C22×C4311yescharacteristic
868#401C22×C4311yescharacteristic, complemented
869#400C22×C4311yescharacteristic, complemented
870#400C22×C4311yescharacteristic, complemented
871#400C22×C4311yescharacteristic, complemented
872#400C22×C4311yescharacteristic, complemented
873#400C22×C4311yescharacteristic, complemented
874#400C22×C4311yescharacteristic, complemented
875#400C22×C4311yescharacteristic, complemented
876#400C22×C4311yescharacteristic, complemented
877#399C22×C4311yescharacteristic, complemented
878#398C22×C4311yescharacteristic, complemented
879#398C22×C4311yescharacteristic, complemented
880#398C22×C4311yescharacteristic, complemented
881#397C22×C4311yescharacteristic
882#397C22×C4311yescharacteristic, complemented
883#397C22×C4311yescharacteristic, complemented
884#397C22×C4311yescharacteristic, complemented
885#397C22×C4311yescharacteristic, complemented
886#397C22×C4311yescharacteristic, complemented
887#397C22×C4311yescharacteristic, complemented
888#397C22×C4311yescharacteristic, complemented
889#396C22×C4311yescharacteristic
890#396C22×C4311yescharacteristic
891#396C22×C4311yescharacteristic
892#396C22×C4311yescharacteristic, complemented
893#396C22×C4311yescharacteristic, complemented
894#395C22×C4311yescharacteristic, complemented
895#395C22×C4311yescharacteristic, complemented
896#394C22×C4311yescharacteristic
897#394C22×C4311yescharacteristic
898#394C22×C4311yescharacteristic
899#394C22×C4311yescharacteristic
900#394C22×C4311yescharacteristic
901#394C22×C4311yescharacteristic
902#394C22×C4311yescharacteristic, complemented
903#394C22×C4311yescharacteristic, complemented
904#394C22×C4311yescharacteristic, complemented
905#394C22×C4311yescharacteristic, complemented
906#393C22×C4311yescharacteristic
907#393C22×C4311yescharacteristic
908#393C22×C4311yescharacteristic
909#393C22×C4311yescharacteristic, complemented
910#393C22×C4311yescharacteristic, complemented
911#393C22×C4311yescharacteristic, complemented
912#392C22×C4311yescharacteristic
913#392C22×C4311yescharacteristic
914#392C22×C4311yescharacteristic
915#392C22×C4311yescharacteristic, complemented
916#391C22×C4311yescharacteristic, complemented
917#391C22×C4311yescharacteristic, complemented
918#391C22×C4311yescharacteristic, complemented
919#390C22×C4311yescharacteristic
920#390C22×C4311yescharacteristic
921#390C22×C4311yescharacteristic
922#390C22×C4311yescharacteristic
923#390C22×C4311yescharacteristic, complemented
924#390C22×C4311yescharacteristic, complemented
925#389C22×C4311yescharacteristic, complemented
926#389C22×C4311yescharacteristic, complemented
927#389C22×C4311yescharacteristic, complemented
928#388C22×C4311yescharacteristic
929#388C22×C4311yescharacteristic
930#388C22×C4311yescharacteristic
931#388C22×C4311yescharacteristic
932#388C22×C4311yescharacteristic
933#388C22×C4311yescharacteristic, complemented
934#388C22×C4311yescharacteristic, complemented
935#388C22×C4311yescharacteristic, complemented
936#388C22×C4311yescharacteristic, complemented
937#387C22×C4311yescharacteristic, complemented
938#387C22×C4311yescharacteristic, complemented
939#387C22×C4311yescharacteristic, complemented
940#387C22×C4311yescharacteristic, complemented
941#387C22×C4311yescharacteristic, complemented
942#387C22×C4311yescharacteristic, complemented
943#387C22×C4311yescharacteristic, complemented
944#386C22×C4311yescharacteristic
945#386C22×C4311yescharacteristic
946#386C22×C4311yescharacteristic
947#386C22×C4311yescharacteristic
948#386C22×C4311yescharacteristic
949#386C22×C4311yescharacteristic
950#386C22×C4311yescharacteristic
951#386C22×C4311yescharacteristic
952#386C22×C4311yescharacteristic
953#386C22×C4311yescharacteristic
954#386C22×C4311yescharacteristic
955#386C22×C4311yescharacteristic
956#386C22×C4311yescharacteristic
957#386C22×C4311yescharacteristic
958#386C22×C4311yescharacteristic
959#386C22×C4311yescharacteristic
960#386C22×C4311yescharacteristic
961#386C22×C4311yescharacteristic
962#386C22×C4311yescharacteristic
963#386C22×C4311yescharacteristic
964#386C22×C4311yescharacteristic
965#386C22×C4311yescharacteristic, complemented
966#386C22×C4311yescharacteristic, complemented
967#385C22×C4311yescharacteristic
968#385C22×C4311yescharacteristic
969#385C22×C4311yescharacteristic
970#385C22×C4311yescharacteristic
971#385C22×C4311yescharacteristic
972#385C22×C4311yescharacteristic
973#385C22×C4311yescharacteristic
974#385C22×C4311yescharacteristic
975#385C22×C4311yescharacteristic
976#385C22×C4311yescharacteristic
977#385C22×C4311yescharacteristic
978#385C22×C4311yescharacteristic
979#385C22×C4311yescharacteristic
980#385C22×C4311yescharacteristic
981#385C22×C4311yescharacteristic, complemented
982#385C22×C4311yescharacteristic, complemented
983#385C22×C4311yescharacteristic, complemented
984#385C22×C4311yescharacteristic, complemented
985#385C22×C4311yescharacteristic, complemented
986#381C22×C4311yescharacteristic
987#381C22×C4311yescharacteristic
988#381C22×C4311yescharacteristic
989#380C22×C4311yescharacteristic
990#380C22×C4311yescharacteristic
991#380C22×C4311yescharacteristic
992#380C22×C4311yescharacteristic, complemented
993#380C22×C4311yescharacteristic, complemented
994#380C22×C4311yescharacteristic, complemented
995#380C22×C4311yescharacteristic, complemented
996#379C22×C4311yescharacteristic
997C4×C22⋊C4C22×C4311yescharacteristic
998C2×#95C22×C4311yescharacteristic
999C2×#95C22×C4311yescharacteristic
1000C43#3679111yescharacteristic, direct product factor, Sylow
1001C25C23×C4311yescharacteristic
1002C2×#41—24no—
1003C2×#41—42no—
1004C2×#41—42no—
1005C22×Q8C23×C4311yescharacteristic
1006C22×Q8C23×C4311yescharacteristic
1007C22×D4C23×C4311yescharacteristic
1008C22×D4C23×C4311yescharacteristic
1009C22×D4C23×C4311yescharacteristic
1010C22×D4C23×C4311yescharacteristic
1011C22×D4C23×C4311yescharacteristic
1012C22×D4C23×C4311yescharacteristic
1013C22×D4C23×C4311yescharacteristic
1014C22×D4C23×C4311yescharacteristic
1015C22×D4C23×C4311yescharacteristic
1016C22×D4C23×C4311yescharacteristic
1017C22×D4C23×C4311yescharacteristic
1018C22×D4C23×C4311yescharacteristic
1019C23×C4—42no—
1020C23×C4—42no—
1021C23×C4—42no—
1022C23×C4C23×C4311yescharacteristic
1023C23×C4C23×C4311yescharacteristic
1024C23×C4C23×C4311yescharacteristic
1025C23×C4C23×C4311yescharacteristic
1026C23×C4C23×C4311yescharacteristic
1027C23×C4C23×C4311yescharacteristic
1028C23×C4C23×C4311yescharacteristic
1029C23×C4C23×C4311yescharacteristic
1030C23×C4C23×C4311yescharacteristic
1031C23×C4C23×C4311yescharacteristic
1032C23×C4C23×C4311yescharacteristic
1033C23×C4C23×C4311yescharacteristic
1034C23×C4C23×C4311yescharacteristic
1035#126—42no—
1036#124—42no—
1037#123—24no—
1038#123—42no—
1039#123—42no—
1040#123—42no—
1041C22⋊Q8—42no—
1042#121—42no—
1043#121—42no—
1044#121—42no—
1045#121—42no—
1046#121—42no—
1047#120—42no—
1048#120—42no—
1049#120—42no—
1050C4×D4—42no—
1051#117—42no—
1052C2×C4⋊C4—42no—
1053C2×C4⋊C4—42no—
1054C2×C4⋊C4C23×C4311yescharacteristic
1055C2×C4⋊C4C23×C4311yescharacteristic
1056C2×C4⋊C4C23×C4311yescharacteristic
1057C2×C4⋊C4C23×C4311yescharacteristic
1058C2×C4⋊C4C23×C4311yescharacteristic
1059C2×C4⋊C4C23×C4311yescharacteristic
1060C2×C4⋊C4C23×C4311yescharacteristic
1061C2×C4⋊C4C23×C4311yescharacteristic
1062C2×C4⋊C4C23×C4311yescharacteristic
1063C2×C4⋊C4C23×C4311yescharacteristic
1064C2×C4⋊C4C23×C4311yescharacteristic
1065C2×C4⋊C4C23×C4311yescharacteristic
1066C2×C4⋊C4C23×C4311yescharacteristic
1067C2×C4⋊C4C23×C4311yescharacteristic
1068C2×C4⋊C4C23×C4311yescharacteristic
1069C2×C4⋊C4C23×C4311yescharacteristic
1070C2×C4⋊C4C23×C4311yescharacteristic
1071C2×C4⋊C4C23×C4311yescharacteristic
1072C2×C4⋊C4C23×C4311yescharacteristic
1073C2×C4⋊C4C23×C4311yescharacteristic
1074C2×C4⋊C4C23×C4311yescharacteristic
1075C2×C4⋊C4C23×C4311yescharacteristic
1076C2×C4⋊C4C23×C4311yescharacteristic
1077C2×C4⋊C4C23×C4311yescharacteristic
1078C2×C4⋊C4C23×C4311yescharacteristic
1079C2×C4⋊C4C23×C4311yescharacteristic
1080C2×C4⋊C4C23×C4311yescharacteristic
1081C2×C4⋊C4C23×C4311yescharacteristic
1082C2×C22⋊C4—24no—
1083C2×C22⋊C4—42no—
1084C2×C22⋊C4C23×C4311yescharacteristic
1085C2×C22⋊C4C23×C4311yescharacteristic
1086C2×C22⋊C4C23×C4311yescharacteristic
1087C2×C22⋊C4C23×C4311yescharacteristic
1088C2×C22⋊C4C23×C4311yescharacteristic
1089C2×C22⋊C4C23×C4311yescharacteristic
1090C2×C22⋊C4C23×C4311yescharacteristic
1091C2×C22⋊C4C23×C4311yescharacteristic
1092C2×C22⋊C4C23×C4311yescharacteristic
1093C2×C22⋊C4C23×C4311yescharacteristic
1094C2×C22⋊C4C23×C4311yescharacteristic
1095C2×C22⋊C4C23×C4311yescharacteristic
1096C2×C22⋊C4C23×C4311yescharacteristic
1097C2×C22⋊C4C23×C4311yescharacteristic
1098C2×C22⋊C4C23×C4311yescharacteristic
1099C2×C22⋊C4C23×C4311yescharacteristic
1100C2×C22⋊C4C23×C4311yescharacteristic
1101C2×C22⋊C4C23×C4311yescharacteristic
1102C2×C22⋊C4C23×C4311yescharacteristic
1103C2×C22⋊C4C23×C4311yescharacteristic
1104C2×C22⋊C4C23×C4311yescharacteristic
1105C2×C22⋊C4C23×C4311yescharacteristic
1106C2×C22⋊C4C23×C4311yescharacteristic
1107C2×C22⋊C4C23×C4311yescharacteristic
1108C2×C22⋊C4C23×C4311yescharacteristic
1109C2×C22⋊C4C23×C4311yescharacteristic
1110C2×C22⋊C4C23×C4311yescharacteristic
1111C2×C22⋊C4C23×C4311yescharacteristic
1112C2×C22⋊C4C23×C4311yescharacteristic
1113C2×C22⋊C4C23×C4311yescharacteristic
1114C2×C22⋊C4C23×C4311yescharacteristic
1115C2×C22⋊C4C23×C4311yescharacteristic
1116C2×C22⋊C4C23×C4311yescharacteristic
1117C2×C22⋊C4C23×C4311yescharacteristic
1118C2×C22⋊C4C23×C4311yescharacteristic
1119C2×C22⋊C4C23×C4311yescharacteristic
1120C2×C22⋊C4C23×C4311yescharacteristic
1121C2×C22⋊C4C23×C4311yescharacteristic
1122C2×C22⋊C4C23×C4311yescharacteristic
1123C2×C22⋊C4C23×C4311yescharacteristic
1124C2×C22⋊C4C23×C4311yescharacteristic
1125C2×C22⋊C4C23×C4311yescharacteristic
1126C2×C22⋊C4C23×C4311yescharacteristic
1127C2×C22⋊C4C23×C4311yescharacteristic
1128C2×C22⋊C4C23×C4311yescharacteristic
1129C2×C22⋊C4C23×C4311yescharacteristic
1130C2×C22⋊C4C23×C4311yescharacteristic
1131C2×C22⋊C4C23×C4311yescharacteristic
1132C2×C22⋊C4C23×C4311yescharacteristic
1133C2×C22⋊C4C23×C4311yescharacteristic
1134C2×C42C23×C4311yescharacteristic
1135C2×C42C23×C4311yescharacteristic
1136C2×C42C23×C4311yescharacteristic
1137C2×C42C23×C4311yescharacteristic
1138C2×C42C23×C4311yescharacteristic
1139#95C23×C4311yescharacteristic
1140#95C23×C4311yescharacteristic
1141#95C23×C4311yescharacteristic
1142#95C23×C4311yescharacteristic
1143#95C23×C4311yescharacteristic
1144#95C23×C4311yescharacteristic
1145#95C23×C4311yescharacteristic
1146#95C23×C4311yescharacteristic
1147#95C23×C4311yescharacteristic
1148#95C23×C4311yescharacteristic
1149#95C23×C4311yescharacteristic
1150#95C23×C4311yescharacteristic
1151#95C23×C4311yescharacteristic
1152#95C23×C4311yescharacteristic
1153#95C23×C4311yescharacteristic
1154#95C23×C4311yescharacteristic
1155#95C23×C4311yescharacteristic
1156#95C23×C4311yescharacteristic
1157#95C23×C4311yescharacteristic
1158#95C23×C4311yescharacteristic
1159#95C23×C4311yescharacteristic
1160#95C23×C4311yescharacteristic
1161#95C23×C4311yescharacteristic
1162#95C23×C4311yescharacteristic
1163#95C23×C4311yescharacteristic
1164#95C23×C4311yescharacteristic
1165#95C23×C4311yescharacteristic
1166#95C23×C4311yescharacteristic
1167#95C23×C4311yescharacteristic
1168#95C23×C4311yescharacteristic
1169#95C23×C4311yescharacteristic
1170#95C23×C4311yescharacteristic
1171#95C23×C4311yescharacteristic
1172#95C23×C4311yescharacteristic
1173#95C23×C4311yescharacteristic
1174#95C23×C4311yescharacteristic
1175#95C23×C4311yescharacteristic
1176#95C23×C4311yescharacteristic
1177#95C23×C4311yescharacteristic
1178#95C23×C4311yescharacteristic
1179#95C23×C4311yescharacteristic
1180#95C23×C4311yescharacteristic
1181#95C23×C4311yescharacteristic
1182#95C23×C4311yescharacteristic
1183C24—22no—
1184C24—22no—
1185C24—22no—
1186C24—22no—
1187C24—22no—
1188C24—41no—
1189C24—41no—
1190C24C24×C4311yescharacteristic
1191C24C24×C4311yescharacteristic
1192C24C24×C4311yescharacteristic
1193C24C24×C4311yescharacteristic
1194C24C24×C4311yescharacteristic
1195C24C24×C4311yescharacteristic
1196#41—416no—
1197C2×Q8—22no—
1198C2×Q8—41no—
1199C2×Q8—41no—
1200C2×Q8—41no—
1201C2×Q8—41no—
1202C2×Q8—41no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—22no—
1210C2×D4—22no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—22no—
1214C2×D4—22no—
1215C2×D4—22no—
1216C2×D4—22no—
1217C2×D4—22no—
1218C2×D4—22no—
1219C2×D4—22no—
1220C2×D4—41no—
1221C2×D4—41no—
1222C2×D4—41no—
1223C2×D4—41no—
1224C2×D4—41no—
1225C2×D4—41no—
1226C2×D4—41no—
1227C2×D4—41no—
1228C2×D4—41no—
1229C2×D4—41no—
1230C2×D4—41no—
1231C2×D4—41no—
1232C2×D4—41no—
1233C2×D4—41no—
1234C2×D4—41no—
1235C2×D4—41no—
1236C2×D4—41no—
1237C2×D4—41no—
1238C2×D4—41no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—22no—
1253C22×C4—41no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—41no—
1257C22×C4—41no—
1258C22×C4—41no—
1259C22×C4—41no—
1260C22×C4—41no—
1261C22×C4—41no—
1262C22×C4—41no—
1263C22×C4—41no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—41no—
1269C22×C4—41no—
1270C22×C4—41no—
1271C22×C4—41no—
1272C22×C4—41no—
1273C22×C4—41no—
1274C22×C4—41no—
1275C22×C4—41no—
1276C22×C4—41no—
1277C22×C4—416no—
1278C22×C4#41×C4314yes—
1279C22×C4C24×C4311yescharacteristic
1280C22×C4C24×C4311yescharacteristic
1281C22×C4C24×C4311yescharacteristic
1282C22×C4C24×C4311yescharacteristic
1283C22×C4C24×C4311yescharacteristic
1284C22×C4C24×C4311yescharacteristic
1285C22×C4C24×C4311yescharacteristic
1286C22×C4C24×C4311yescharacteristic
1287C22×C4C24×C4311yescharacteristic
1288C22×C4C24×C4311yescharacteristic
1289C22×C4C24×C4311yescharacteristic
1290C22×C4C24×C4311yescharacteristic
1291C22×C4C24×C4311yescharacteristic
1292C22×C4C24×C4311yescharacteristic
1293C22×C4C24×C4311yescharacteristic
1294C22×C4C24×C4311yescharacteristic
1295C22×C4C24×C4311yescharacteristic
1296C22×C4C24×C4311yescharacteristic
1297C22×C4C24×C4311yescharacteristic
1298C22×C4C24×C4311yescharacteristic
1299C22×C4C24×C4311yescharacteristic
1300C22×C4C24×C4311yescharacteristic
1301C22×C4C24×C4311yescharacteristic
1302C22×C4C24×C4311yescharacteristic
1303C22×C4C24×C4311yescharacteristic
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—41no—
1311C4⋊C4—41no—
1312C4⋊C4—41no—
1313C4⋊C4—41no—
1314C4⋊C4—41no—
1315C4⋊C4—41no—
1316C4⋊C4—41no—
1317C4⋊C4—41no—
1318C4⋊C4—41no—
1319C4⋊C4—41no—
1320C4⋊C4—41no—
1321C4⋊C4—41no—
1322C4⋊C4—41no—
1323C4⋊C4—41no—
1324C4⋊C4—41no—
1325C4⋊C4—41no—
1326C4⋊C4—41no—
1327C4⋊C4—41no—
1328C4⋊C4—41no—
1329C4⋊C4—41no—
1330C4⋊C4—41no—
1331C4⋊C4—41no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—22no—
1340C22⋊C4—22no—
1341C22⋊C4—22no—
1342C22⋊C4—22no—
1343C22⋊C4—22no—
1344C22⋊C4—22no—
1345C22⋊C4—22no—
1346C22⋊C4—22no—
1347C22⋊C4—22no—
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—41no—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
1363C22⋊C4—41no—
1364C22⋊C4—41no—
1365C22⋊C4—41no—
1366C22⋊C4—41no—
1367C22⋊C4—41no—
1368C22⋊C4—41no—
1369C22⋊C4—41no—
1370C22⋊C4—41no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4—41no—
1374C22⋊C4—41no—
1375C22⋊C4—41no—
1376C22⋊C4—41no—
1377C22⋊C4—41no—
1378C22⋊C4—41no—
1379C22⋊C4—41no—
1380C22⋊C4—41no—
1381C22⋊C4—41no—
1382C42—41no—
1383C42—41no—
1384C42—41no—
1385C42—41no—
1386C42—41no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—28no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—44no—
1426C23—44no—
1427C23—44no—
1428C23—44no—
1429C23—44no—
1430C23—44no—
1431C23C2×#41×C4312yes—
1432C23H(5,𝔽2)×C4312yes—
1433C23H(5,𝔽2)×C4312yes—
1434C23H(5,𝔽2)×C4312yes—
1435C232−1+4×C4312yes—
1436C23C25×C4311yescharacteristic
1437Q8—44no—
1438Q8—82no—
1439D4—44no—
1440D4—44no—
1441D4—44no—
1442D4—44no—
1443D4—82no—
1444D4—82no—
1445D4—82no—
1446D4—82no—
1447D4—82no—
1448D4—82no—
1449D4—82no—
1450D4—82no—
1451C2×C4—28no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—44no—
1525C2×C4—44no—
1526C2×C4—44no—
1527C2×C4—44no—
1528C2×C4—44no—
1529C2×C4—44no—
1530C2×C4—44no—
1531C2×C4—44no—
1532C2×C4—44no—
1533C2×C4—82no—
1534C2×C4—82no—
1535C2×C4—82no—
1536C2×C4C2×#41×C4312yes—
1537C2×C4C2×#41×C4312yes—
1538C2×C4H(5,𝔽2)×C4312yes—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—416no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22—41no—
1577C22—41no—
1578C22—41no—
1579C22—41no—
1580C22—41no—
1581C22C43×#53814yes—
1582C22C22×#41×C4311yescharacteristic
1583C22C2×H(5,𝔽2)×C4311yescharacteristic
1584C22C2×H(5,𝔽2)×C4311yescharacteristic
1585C22C2×H(5,𝔽2)×C4311yescharacteristic
1586C22C2×H(5,𝔽2)×C4311yescharacteristic
1587C22C2×2−1+4×C4311yescharacteristic
1588C22C43×#58511yescharacteristic
1589C4—22no—
1590C4—22no—
1591C4—22no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—41no—
1611C4—41no—
1612C4—41no—
1613C4—41no—
1614C2—24no—
1615C2—42no—
1616C2—42no—
1617C2—81no—
1618C2—81no—
1619C2—81no—
1620C2C2×C43×#53811yescharacteristic
1621C2C43×#349211yescharacteristic
1622C2C43×#350611yescharacteristic
1623C2C43×#353211yescharacteristic
1624C2C43×#353411yescharacteristic
1625C2C43×#353511yescharacteristic
1626C2C43×#353611yescharacteristic
subgroupG/H
center, socleC23×C43C25
commutator, Frattini, cosocleC23C25×C43
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×#2847C2semidirect
3. C43×#2804C2semidirect
4. C43×#2797C2semidirect
5. C43×#2788C2semidirect
6. C43×#2784C2semidirect
7. C43×#2780C2semidirect
8. C43×#2778C2semidirect
9. C43×#2751C2semidirect
10. C43×#2750C2semidirect
11. C43×#2745C2semidirect
12. C43×#2714C2semidirect
13. C43×#2710C2semidirect
14. C43×#2708C2semidirect
15. C43×#2708C2semidirect
16. C43×#2695C2semidirect
17. C43×#2686C2semidirect
18. C43×#2682C2semidirect
19. C43×#2643C2semidirect
20. C43×#2639C2semidirect
21. C43×#2481C2semidirect
22. C43×#2472C2semidirect
23. C43×#2443C2semidirect
24. C43×#2438C2semidirect
25. C43×#2430C2semidirect
26. C43×#2424C2semidirect
27. C43×#2411C2semidirect
28. C43×#2404C2semidirect
29. C43×#2322C2semidirect
30. C43×#2311C2semidirect
31. C2×C43×#385C2semidirect
34. C2×#126×C43C22semidirect
39. C2×#123×C43C22semidirect
55. C43×#401C22semidirect
56. C43×#400C22semidirect
57. C43×#400C22semidirect
58. C43×#400C22semidirect
59. C43×#400C22semidirect
60. C43×#400C22semidirect
61. C43×#400C22semidirect
62. C43×#400C22semidirect
63. C43×#400C22semidirect
64. C43×#399C22semidirect
65. C43×#398C22semidirect
66. C43×#398C22semidirect
67. C43×#398C22semidirect
69. C43×#397C22semidirect
70. C43×#397C22semidirect
71. C43×#397C22semidirect
72. C43×#397C22semidirect
73. C43×#397C22semidirect
74. C43×#397C22semidirect
75. C43×#397C22semidirect
79. C43×#396C22semidirect
80. C43×#396C22semidirect
81. C43×#395C22semidirect
82. C43×#395C22semidirect
89. C43×#394C22semidirect
90. C43×#394C22semidirect
91. C43×#394C22semidirect
92. C43×#394C22semidirect
96. C43×#393C22semidirect
97. C43×#393C22semidirect
98. C43×#393C22semidirect
102. C43×#392C22semidirect
103. C43×#391C22semidirect
104. C43×#391C22semidirect
105. C43×#391C22semidirect
110. C43×#390C22semidirect
111. C43×#390C22semidirect
112. C43×#389C22semidirect
113. C43×#389C22semidirect
114. C43×#389C22semidirect
120. C43×#388C22semidirect
121. C43×#388C22semidirect
122. C43×#388C22semidirect
123. C43×#388C22semidirect
124. C43×#387C22semidirect
125. C43×#387C22semidirect
126. C43×#387C22semidirect
127. C43×#387C22semidirect
128. C43×#387C22semidirect
129. C43×#387C22semidirect
130. C43×#387C22semidirect
152. C43×#386C22semidirect
153. C43×#386C22semidirect
168. C43×#385C22semidirect
169. C43×#385C22semidirect
170. C43×#385C22semidirect
171. C43×#385C22semidirect
172. C43×#385C22semidirect
179. C43×#380C22semidirect
180. C43×#380C22semidirect
181. C43×#380C22semidirect
182. C43×#380C22semidirect
725. #36791C43direct (N × H)
801. #2849C2×C43semidirect
802. #2847C2×C43semidirect
803. #2804C2×C43semidirect
804. #2797C2×C43semidirect
805. #2788C2×C43semidirect
806. #2784C2×C43semidirect
807. #2780C2×C43semidirect
808. #2778C2×C43semidirect
809. #2751C2×C43semidirect
810. #2750C2×C43semidirect
811. #2745C2×C43semidirect
812. #2714C2×C43semidirect
813. #2710C2×C43semidirect
814. #2708C2×C43semidirect
815. #2708C2×C43semidirect
816. #2695C2×C43semidirect
817. #2686C2×C43semidirect
818. #2682C2×C43semidirect
819. #2643C2×C43semidirect
820. #2639C2×C43semidirect
821. #2481C2×C43semidirect
822. #2472C2×C43semidirect
823. #2443C2×C43semidirect
824. #2438C2×C43semidirect
825. #2430C2×C43semidirect
826. #2424C2×C43semidirect
827. #2411C2×C43semidirect
828. #2404C2×C43semidirect
829. #2322C2×C43semidirect
830. #2311C2×C43semidirect
831. C2×#385C2×C43semidirect
847. C2×#126C22×C43semidirect
852. C2×#123C22×C43semidirect
868. #401C22×C43semidirect
869. #400C22×C43semidirect
870. #400C22×C43semidirect
871. #400C22×C43semidirect
872. #400C22×C43semidirect
873. #400C22×C43semidirect
874. #400C22×C43semidirect
875. #400C22×C43semidirect
876. #400C22×C43semidirect
877. #399C22×C43semidirect
878. #398C22×C43semidirect
879. #398C22×C43semidirect
880. #398C22×C43semidirect
882. #397C22×C43semidirect
883. #397C22×C43semidirect
884. #397C22×C43semidirect
885. #397C22×C43semidirect
886. #397C22×C43semidirect
887. #397C22×C43semidirect
888. #397C22×C43semidirect
892. #396C22×C43semidirect
893. #396C22×C43semidirect
894. #395C22×C43semidirect
895. #395C22×C43semidirect
902. #394C22×C43semidirect
903. #394C22×C43semidirect
904. #394C22×C43semidirect
905. #394C22×C43semidirect
909. #393C22×C43semidirect
910. #393C22×C43semidirect
911. #393C22×C43semidirect
915. #392C22×C43semidirect
916. #391C22×C43semidirect
917. #391C22×C43semidirect
918. #391C22×C43semidirect
923. #390C22×C43semidirect
924. #390C22×C43semidirect
925. #389C22×C43semidirect
926. #389C22×C43semidirect
927. #389C22×C43semidirect
933. #388C22×C43semidirect
934. #388C22×C43semidirect
935. #388C22×C43semidirect
936. #388C22×C43semidirect
937. #387C22×C43semidirect
938. #387C22×C43semidirect
939. #387C22×C43semidirect
940. #387C22×C43semidirect
941. #387C22×C43semidirect
942. #387C22×C43semidirect
943. #387C22×C43semidirect
965. #386C22×C43semidirect
966. #386C22×C43semidirect
981. #385C22×C43semidirect
982. #385C22×C43semidirect
983. #385C22×C43semidirect
984. #385C22×C43semidirect
985. #385C22×C43semidirect
992. #380C22×C43semidirect
993. #380C22×C43semidirect
994. #380C22×C43semidirect
995. #380C22×C43semidirect
1000. C43#36791direct (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×#28472
C43×#28042
C43×#27972
C43×#27882
C43×#27842
C43×#27802
C43×#27782
C43×#27512
C43×#27502
C43×#27452
C43×#27142
C43×#27102
C43×#27082
C43×#26952
C43×#26862
C43×#26822
C43×#26432
C43×#26392
C43×#24812
C43×#24722
C43×#24432
C43×#24382
C43×#24302
C43×#24242
C43×#24112
C43×#24042
C43×#23222
C43×#23112
C2×C43×#3852
#3679143