Finite Group Databasebeta

← C43×#36887 #24956904

Subgroups — C43×#36887 #24956904

Order 11008.

2090 conjugacy classes of subgroups.

The subgroup lattice has 1670 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×#2778C211yesmaximal, characteristic, complemented
4C43×#2768C211yesmaximal, characteristic, complemented
5C43×#2753C211yesmaximal, characteristic, complemented
6C43×#2746C211yesmaximal, characteristic, complemented
7C43×#2739C211yesmaximal, characteristic, complemented
8C43×#2714C211yesmaximal, characteristic, complemented
9C43×#2709C211yesmaximal, characteristic, complemented
10C43×#2705C211yesmaximal, characteristic, complemented
11C43×#2699C211yesmaximal, characteristic, complemented
12C43×#2691C211yesmaximal, characteristic, complemented
13C43×#2685C211yesmaximal, characteristic, complemented
14C43×#2678C211yesmaximal, characteristic, complemented
15C43×#2678C211yesmaximal, characteristic, complemented
16C43×#2671C211yesmaximal, characteristic, complemented
17C43×#2671C211yesmaximal, characteristic, complemented
18C43×#2669C211yesmaximal, characteristic, complemented
19C43×#2636C211yesmaximal, characteristic, complemented
20C43×#2635C211yesmaximal, characteristic, complemented
21C43×#2576C211yesmaximal, characteristic, complemented
22C43×#2559C211yesmaximal, characteristic, complemented
23C43×#2554C211yesmaximal, characteristic, complemented
24C43×#2553C211yesmaximal, characteristic, complemented
25C43×#2468C211yesmaximal, characteristic, complemented
26C43×#2464C211yesmaximal, characteristic, complemented
27C43×#2428C211yesmaximal, characteristic, complemented
28C43×#2420C211yesmaximal, characteristic, complemented
29C43×#2335C211yesmaximal, characteristic, complemented
30C43×#2333C211yesmaximal, characteristic, complemented
31C4×#120×C43C211yesmaximal, characteristic, complemented
32C24×C4×C43C2211yescharacteristic
33C2×#127×C43C2211yescharacteristic
34C2×#126×C43C2211yescharacteristic
35C2×#126×C43C2211yescharacteristic, complemented
36C2×#126×C43C2211yescharacteristic, complemented
37C2×#123×C43C2211yescharacteristic
38C2×#123×C43C2211yescharacteristic
39C2×#123×C43C2211yescharacteristic
40C2×#123×C43C2211yescharacteristic
41C2×#121×C43C2211yescharacteristic
42C2×#121×C43C2211yescharacteristic
43C2×#121×C43C2211yescharacteristic
44C2×#121×C43C2211yescharacteristic
45C2×#121×C43C2211yescharacteristic
46C2×#121×C43C2211yescharacteristic
47C2×#121×C43C2211yescharacteristic
48C2×#121×C43C2211yescharacteristic, complemented
49C2×#121×C43C2211yescharacteristic, complemented
50C2×#120×C43C2211yescharacteristic
51C2×#120×C43C2211yescharacteristic
52C2×#120×C43C2211yescharacteristic
53C2×#120×C43C2211yescharacteristic
54C2×C4×D4×C43C2211yescharacteristic
55C2×C4×D4×C43C2211yescharacteristic
56C2×C4×D4×C43C2211yescharacteristic
57C43×#401C2211yescharacteristic, complemented
58C43×#400C2211yescharacteristic, complemented
59C43×#400C2211yescharacteristic, complemented
60C43×#400C2211yescharacteristic, complemented
61C43×#399C2211yescharacteristic
62C43×#399C2211yescharacteristic, complemented
63C43×#399C2211yescharacteristic, complemented
64C43×#398C2211yescharacteristic, complemented
65C43×#398C2211yescharacteristic, complemented
66C43×#398C2211yescharacteristic, complemented
67C43×#398C2211yescharacteristic, complemented
68C43×#398C2211yescharacteristic, complemented
69C43×#397C2211yescharacteristic
70C43×#397C2211yescharacteristic
71C43×#397C2211yescharacteristic, complemented
72C43×#397C2211yescharacteristic, complemented
73C43×#396C2211yescharacteristic
74C43×#396C2211yescharacteristic
75C43×#396C2211yescharacteristic
76C43×#396C2211yescharacteristic, complemented
77C43×#394C2211yescharacteristic
78C43×#394C2211yescharacteristic
79C43×#394C2211yescharacteristic
80C43×#394C2211yescharacteristic
81C43×#394C2211yescharacteristic
82C43×#394C2211yescharacteristic
83C43×#394C2211yescharacteristic
84C43×#394C2211yescharacteristic
85C43×#394C2211yescharacteristic
86C43×#394C2211yescharacteristic
87C43×#394C2211yescharacteristic, complemented
88C43×#394C2211yescharacteristic, complemented
89C43×#394C2211yescharacteristic, complemented
90C43×#394C2211yescharacteristic, complemented
91C43×#394C2211yescharacteristic, complemented
92C43×#394C2211yescharacteristic, complemented
93C43×#394C2211yescharacteristic, complemented
94C43×#394C2211yescharacteristic, complemented
95C43×#394C2211yescharacteristic, complemented
96C43×#392C2211yescharacteristic
97C43×#392C2211yescharacteristic
98C43×#392C2211yescharacteristic
99C43×#392C2211yescharacteristic
100C43×#392C2211yescharacteristic
101C43×#392C2211yescharacteristic
102C43×#392C2211yescharacteristic
103C43×#392C2211yescharacteristic
104C43×#392C2211yescharacteristic, complemented
105C43×#390C2211yescharacteristic
106C43×#390C2211yescharacteristic
107C43×#390C2211yescharacteristic
108C43×#390C2211yescharacteristic
109C43×#390C2211yescharacteristic
110C43×#390C2211yescharacteristic
111C43×#390C2211yescharacteristic, complemented
112C43×#390C2211yescharacteristic, complemented
113C43×#389C2211yescharacteristic, complemented
114C43×#389C2211yescharacteristic, complemented
115C43×#389C2211yescharacteristic, complemented
116C43×#388C2211yescharacteristic
117C43×#388C2211yescharacteristic
118C43×#388C2211yescharacteristic
119C43×#388C2211yescharacteristic
120C43×#388C2211yescharacteristic
121C43×#388C2211yescharacteristic
122C43×#388C2211yescharacteristic
123C43×#388C2211yescharacteristic, complemented
124C43×#388C2211yescharacteristic, complemented
125C43×#388C2211yescharacteristic, complemented
126C43×#388C2211yescharacteristic, complemented
127C43×#388C2211yescharacteristic, complemented
128C43×#388C2211yescharacteristic, complemented
129C43×#388C2211yescharacteristic, complemented
130C43×#388C2211yescharacteristic, complemented
131C43×#387C2211yescharacteristic, complemented
132C43×#387C2211yescharacteristic, complemented
133C43×#387C2211yescharacteristic, complemented
134C43×#387C2211yescharacteristic, complemented
135C43×#387C2211yescharacteristic, complemented
136C43×#387C2211yescharacteristic, complemented
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
153C43×#386C2211yescharacteristic, complemented
154C43×#386C2211yescharacteristic, complemented
155C43×#386C2211yescharacteristic, complemented
156C43×#386C2211yescharacteristic, complemented
157C43×#385C2211yescharacteristic
158C43×#385C2211yescharacteristic
159C43×#385C2211yescharacteristic
160C43×#385C2211yescharacteristic
161C43×#385C2211yescharacteristic
162C43×#385C2211yescharacteristic
163C43×#385C2211yescharacteristic
164C43×#385C2211yescharacteristic, complemented
165C43×#385C2211yescharacteristic, complemented
166C43×#385C2211yescharacteristic, complemented
167C43×#382C2211yescharacteristic, complemented
168C43×#382C2211yescharacteristic, complemented
169C43×#381C2211yescharacteristic
170C43×#381C2211yescharacteristic
171C43×#381C2211yescharacteristic, complemented
172C43×#381C2211yescharacteristic, complemented
173C43×#380C2211yescharacteristic
174C43×#380C2211yescharacteristic
175C43×#380C2211yescharacteristic
176C43×#380C2211yescharacteristic, complemented
177C43×#380C2211yescharacteristic, complemented
178C43×#379C2211yescharacteristic
179C43×#379C2211yescharacteristic
180C4×C4⋊C4×C43C2211yescharacteristic, complemented
181C4×C22⋊C4×C43C2211yescharacteristic
182C4×C22⋊C4×C43C2211yescharacteristic
183C4×C22⋊C4×C43C2211yescharacteristic
184C4×C22⋊C4×C43C2211yescharacteristic, complemented
185C4×C22⋊C4×C43C2211yescharacteristic, complemented
186C4×C22⋊C4×C43C2211yescharacteristic, complemented
187C25×C43C2311yescharacteristic
188C22×D4×C43C2311yescharacteristic
189C22×D4×C43C2311yescharacteristic
190C22×D4×C43C2311yescharacteristic
191C22×D4×C43C2311yescharacteristic
192C22×D4×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
205C22×D4×C43C2311yescharacteristic
206C23×C4×C43—42no—
207C23×C4×C43—42no—
208C23×C4×C43—42no—
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
219#127×C43—42no—
220#126×C43—42no—
221#126×C43—42no—
222#126×C43—42no—
223#123×C43—24no—
224#123×C43—42no—
225#123×C43—42no—
226#123×C43—42no—
227#121×C43—24no—
228#121×C43—42no—
229#121×C43—42no—
230#121×C43—42no—
231#121×C43—42no—
232#121×C43—42no—
233#121×C43—42no—
234#121×C43—42no—
235#121×C43—42no—
236#120×C43—24no—
237#120×C43—42no—
238#120×C43—42no—
239#120×C43—42no—
240C4×D4×C43—42no—
241C4×D4×C43—42no—
242C4×D4×C43—42no—
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×C4⋊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×C22⋊C4×C43C2311yescharacteristic
314C2×C22⋊C4×C43C2311yescharacteristic
315C2×C22⋊C4×C43C2311yescharacteristic
316C2×C22⋊C4×C43C2311yescharacteristic
317C2×C22⋊C4×C43C2311yescharacteristic
318C2×C22⋊C4×C43C2311yescharacteristic
319C2×C22⋊C4×C43C2311yescharacteristic
320C2×C22⋊C4×C43C2311yescharacteristic
321C2×C22⋊C4×C43C2311yescharacteristic
322C2×C22⋊C4×C43C2311yescharacteristic
323C2×C22⋊C4×C43C2311yescharacteristic
324C2×C22⋊C4×C43C2311yescharacteristic
325C2×C42×C43C2311yescharacteristic
326C2×C42×C43C2311yescharacteristic
327C2×C42×C43C2311yescharacteristic
328C2×C42×C43C2311yescharacteristic
329C2×C42×C43C2311yescharacteristic
330C2×C42×C43C2311yescharacteristic
331C2×C42×C43C2311yescharacteristic
332C2×C42×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—41no—
373C24×C43—41no—
374C24×C43—41no—
375C24×C43—41no—
376C24×C43C2411yescharacteristic
377C24×C43C2411yescharacteristic
378C24×C43C2411yescharacteristic
379C24×C43C2411yescharacteristic
380C24×C43C2411yescharacteristic
381C24×C43C2411yescharacteristic
382C24×C43C2411yescharacteristic
383C2×D4×C43—22no—
384C2×D4×C43—22no—
385C2×D4×C43—22no—
386C2×D4×C43—22no—
387C2×D4×C43—22no—
388C2×D4×C43—22no—
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—41no—
400C2×D4×C43—41no—
401C2×D4×C43—41no—
402C2×D4×C43—41no—
403C2×D4×C43—41no—
404C2×D4×C43—41no—
405C2×D4×C43—41no—
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—
425C2×D4×C43—41no—
426C2×D4×C43—41no—
427C2×D4×C43—41no—
428C2×D4×C43—41no—
429C2×D4×C43—41no—
430C2×D4×C43—41no—
431C2×D4×C43—41no—
432C2×D4×C43—41no—
433C2×D4×C43—41no—
434C2×D4×C43—41no—
435C2×D4×C43—41no—
436C2×D4×C43—41no—
437C22×C4×C43—22no—
438C22×C4×C43—22no—
439C22×C4×C43—22no—
440C22×C4×C43—22no—
441C22×C4×C43—22no—
442C22×C4×C43—22no—
443C22×C4×C43—22no—
444C22×C4×C43—22no—
445C22×C4×C43—22no—
446C22×C4×C43—22no—
447C22×C4×C43—22no—
448C22×C4×C43—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—41no—
464C22×C4×C43—41no—
465C22×C4×C43—41no—
466C22×C4×C43—41no—
467C22×C4×C43—416no—
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
490C22×C4×C43C2411yescharacteristic
491C22×C4×C43C2411yescharacteristic
492C4⋊C4×C43—22no—
493C4⋊C4×C43—22no—
494C4⋊C4×C43—22no—
495C4⋊C4×C43—22no—
496C4⋊C4×C43—22no—
497C4⋊C4×C43—22no—
498C4⋊C4×C43—22no—
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—
568C22⋊C4×C43—41no—
569C22⋊C4×C43—41no—
570C22⋊C4×C43—41no—
571C22⋊C4×C43—41no—
572C22⋊C4×C43—41no—
573C22⋊C4×C43#4114yes—
574C42×C43—22no—
575C42×C43—41no—
576C42×C43—41no—
577C42×C43—41no—
578C42×C43—41no—
579C42×C43—41no—
580C42×C43—41no—
581C42×C43—41no—
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—21no—
612C23×C43—21no—
613C23×C43—21no—
614C23×C43—21no—
615C23×C43—21no—
616C23×C43—21no—
617C23×C43—21no—
618C23×C43—21no—
619C23×C43—21no—
620C23×C43—21no—
621C23×C43—21no—
622C23×C43—21no—
623C23×C43—21no—
624C23×C43—21no—
625C23×C43—21no—
626C23×C43—21no—
627C23×C43—21no—
628C23×C43—44no—
629C23×C43—44no—
630C23×C43—44no—
631C23×C43—44no—
632C23×C43—44no—
633C23×C43—44no—
634C23×C43—44no—
635C23×C43C2×#4112yes—
636C23×C43H(5,𝔽2)12yes—
637C23×C43H(5,𝔽2)12yes—
638C23×C43C2511yescharacteristic
639D4×C43—44no—
640D4×C43—44no—
641D4×C43—44no—
642D4×C43—82no—
643D4×C43—82no—
644D4×C43—82no—
645D4×C43—82no—
646D4×C43—82no—
647D4×C43—82no—
648D4×C43—82no—
649D4×C43—82no—
650D4×C43—82no—
651D4×C43—82no—
652D4×C43—82no—
653D4×C43—82no—
654D4×C43—82no—
655D4×C43—82no—
656D4×C43—82no—
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—21no—
711C2×C4×C43—21no—
712C2×C4×C43—21no—
713C2×C4×C43—21no—
714C2×C4×C43—21no—
715C2×C4×C43—21no—
716C2×C4×C43—21no—
717C2×C4×C43—21no—
718C2×C4×C43—21no—
719C2×C4×C43—21no—
720C2×C4×C43—21no—
721C2×C4×C43—21no—
722C2×C4×C43—21no—
723C2×C4×C43—21no—
724C2×C4×C43—21no—
725C2×C4×C43—44no—
726C2×C4×C43—44no—
727C2×C4×C43—44no—
728C2×C4×C43—44no—
729C2×C4×C43—44no—
730C2×C4×C43—44no—
731C2×C4×C43—82no—
732C2×C4×C43—82no—
733C2×C4×C43—82no—
734C2×C4×C43—82no—
735C2×C4×C43C2×#4112yes—
736C2×C4×C43C2×#4112yes—
737C2×C4×C43H(5,𝔽2)12yes—
738C2×C4×C43H(5,𝔽2)12yes—
739#36887C4311yesmaximal, characteristic, direct product factor, Sylow
740C22×C43—22no—
741C22×C43—22no—
742C22×C43—22no—
743C22×C43—22no—
744C22×C43—22no—
745C22×C43—22no—
746C22×C43—22no—
747C22×C43—22no—
748C22×C43—22no—
749C22×C43—416no—
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—41no—
769C22×C43—41no—
770C22×C43—41no—
771C22×C43—41no—
772C22×C43—41no—
773C22×C43—41no—
774C22×C43—41no—
775C22×C43—41no—
776C22×C43—41no—
777C22×C43—41no—
778C22×C43—41no—
779C22×C43—41no—
780C22×C43—41no—
781C22×C43—41no—
782C22×C43—41no—
783C22×C43—41no—
784C22×C43—41no—
785C22×C43—41no—
786C22×C43—41no—
787C22×C43—41no—
788C22×C43—41no—
789C22×C43—41no—
790C22×C43C22×#4111yescharacteristic
791C22×C43C2×H(5,𝔽2)11yescharacteristic
792C22×C43C2×H(5,𝔽2)11yescharacteristic
793C22×C43C2×H(5,𝔽2)11yescharacteristic
794C22×C43C2×H(5,𝔽2)11yescharacteristic
795C22×C43#58511yescharacteristic
796C22×C43#58511yescharacteristic
797C4×C43—22no—
798C4×C43—22no—
799C4×C43—22no—
800C4×C43—22no—
801C4×C43—41no—
802C4×C43—41no—
803C4×C43—41no—
804C4×C43—41no—
805C4×C43—41no—
806C4×C43—41no—
807C4×C43—41no—
808C4×C43—41no—
809C4×C43—41no—
810C4×C43—41no—
811C4×C43—41no—
812C4×C43—41no—
813C4×C43—41no—
814C4×C43—41no—
815C4×C43—41no—
816C4×C43—41no—
817C4×C43—41no—
818C4×C43—41no—
819C4×C43—41no—
820C4×C43—41no—
821#2849C2×C4311yescharacteristic, complemented
822#2847C2×C4311yescharacteristic, complemented
823#2778C2×C4311yescharacteristic, complemented
824#2768C2×C4311yescharacteristic, complemented
825#2753C2×C4311yescharacteristic, complemented
826#2746C2×C4311yescharacteristic, complemented
827#2739C2×C4311yescharacteristic, complemented
828#2714C2×C4311yescharacteristic, complemented
829#2709C2×C4311yescharacteristic, complemented
830#2705C2×C4311yescharacteristic, complemented
831#2699C2×C4311yescharacteristic, complemented
832#2691C2×C4311yescharacteristic, complemented
833#2685C2×C4311yescharacteristic, complemented
834#2678C2×C4311yescharacteristic, complemented
835#2678C2×C4311yescharacteristic, complemented
836#2671C2×C4311yescharacteristic, complemented
837#2671C2×C4311yescharacteristic, complemented
838#2669C2×C4311yescharacteristic, complemented
839#2636C2×C4311yescharacteristic, complemented
840#2635C2×C4311yescharacteristic, complemented
841#2576C2×C4311yescharacteristic, complemented
842#2559C2×C4311yescharacteristic, complemented
843#2554C2×C4311yescharacteristic, complemented
844#2553C2×C4311yescharacteristic, complemented
845#2468C2×C4311yescharacteristic, complemented
846#2464C2×C4311yescharacteristic, complemented
847#2428C2×C4311yescharacteristic, complemented
848#2420C2×C4311yescharacteristic, complemented
849#2335C2×C4311yescharacteristic, complemented
850#2333C2×C4311yescharacteristic, complemented
851C4×#120C2×C4311yescharacteristic, complemented
852C2×C43—42no—
853C2×C43—42no—
854C2×C43—42no—
855C2×C43—81no—
856C2×C43—81no—
857C2×C43—81no—
858C2×C43—81no—
859C2×C43#346011yescharacteristic
860C2×C43#351311yescharacteristic
861C2×C43#351911yescharacteristic
862C2×C43#353211yescharacteristic
863C2×C43#353411yescharacteristic
864C2×C43#353911yescharacteristic
865C2×C43#354211yescharacteristic
866C24×C4C22×C4311yescharacteristic
867C2×#127C22×C4311yescharacteristic
868C2×#126C22×C4311yescharacteristic
869C2×#126C22×C4311yescharacteristic, complemented
870C2×#126C22×C4311yescharacteristic, complemented
871C2×#123C22×C4311yescharacteristic
872C2×#123C22×C4311yescharacteristic
873C2×#123C22×C4311yescharacteristic
874C2×#123C22×C4311yescharacteristic
875C2×#121C22×C4311yescharacteristic
876C2×#121C22×C4311yescharacteristic
877C2×#121C22×C4311yescharacteristic
878C2×#121C22×C4311yescharacteristic
879C2×#121C22×C4311yescharacteristic
880C2×#121C22×C4311yescharacteristic
881C2×#121C22×C4311yescharacteristic
882C2×#121C22×C4311yescharacteristic, complemented
883C2×#121C22×C4311yescharacteristic, complemented
884C2×#120C22×C4311yescharacteristic
885C2×#120C22×C4311yescharacteristic
886C2×#120C22×C4311yescharacteristic
887C2×#120C22×C4311yescharacteristic
888C2×C4×D4C22×C4311yescharacteristic
889C2×C4×D4C22×C4311yescharacteristic
890C2×C4×D4C22×C4311yescharacteristic
891#401C22×C4311yescharacteristic, complemented
892#400C22×C4311yescharacteristic, complemented
893#400C22×C4311yescharacteristic, complemented
894#400C22×C4311yescharacteristic, complemented
895#399C22×C4311yescharacteristic
896#399C22×C4311yescharacteristic, complemented
897#399C22×C4311yescharacteristic, complemented
898#398C22×C4311yescharacteristic, complemented
899#398C22×C4311yescharacteristic, complemented
900#398C22×C4311yescharacteristic, complemented
901#398C22×C4311yescharacteristic, complemented
902#398C22×C4311yescharacteristic, complemented
903#397C22×C4311yescharacteristic
904#397C22×C4311yescharacteristic
905#397C22×C4311yescharacteristic, complemented
906#397C22×C4311yescharacteristic, complemented
907#396C22×C4311yescharacteristic
908#396C22×C4311yescharacteristic
909#396C22×C4311yescharacteristic
910#396C22×C4311yescharacteristic, complemented
911#394C22×C4311yescharacteristic
912#394C22×C4311yescharacteristic
913#394C22×C4311yescharacteristic
914#394C22×C4311yescharacteristic
915#394C22×C4311yescharacteristic
916#394C22×C4311yescharacteristic
917#394C22×C4311yescharacteristic
918#394C22×C4311yescharacteristic
919#394C22×C4311yescharacteristic
920#394C22×C4311yescharacteristic
921#394C22×C4311yescharacteristic, complemented
922#394C22×C4311yescharacteristic, complemented
923#394C22×C4311yescharacteristic, complemented
924#394C22×C4311yescharacteristic, complemented
925#394C22×C4311yescharacteristic, complemented
926#394C22×C4311yescharacteristic, complemented
927#394C22×C4311yescharacteristic, complemented
928#394C22×C4311yescharacteristic, complemented
929#394C22×C4311yescharacteristic, complemented
930#392C22×C4311yescharacteristic
931#392C22×C4311yescharacteristic
932#392C22×C4311yescharacteristic
933#392C22×C4311yescharacteristic
934#392C22×C4311yescharacteristic
935#392C22×C4311yescharacteristic
936#392C22×C4311yescharacteristic
937#392C22×C4311yescharacteristic
938#392C22×C4311yescharacteristic, complemented
939#390C22×C4311yescharacteristic
940#390C22×C4311yescharacteristic
941#390C22×C4311yescharacteristic
942#390C22×C4311yescharacteristic
943#390C22×C4311yescharacteristic
944#390C22×C4311yescharacteristic
945#390C22×C4311yescharacteristic, complemented
946#390C22×C4311yescharacteristic, complemented
947#389C22×C4311yescharacteristic, complemented
948#389C22×C4311yescharacteristic, complemented
949#389C22×C4311yescharacteristic, complemented
950#388C22×C4311yescharacteristic
951#388C22×C4311yescharacteristic
952#388C22×C4311yescharacteristic
953#388C22×C4311yescharacteristic
954#388C22×C4311yescharacteristic
955#388C22×C4311yescharacteristic
956#388C22×C4311yescharacteristic
957#388C22×C4311yescharacteristic, complemented
958#388C22×C4311yescharacteristic, complemented
959#388C22×C4311yescharacteristic, complemented
960#388C22×C4311yescharacteristic, complemented
961#388C22×C4311yescharacteristic, complemented
962#388C22×C4311yescharacteristic, complemented
963#388C22×C4311yescharacteristic, complemented
964#388C22×C4311yescharacteristic, complemented
965#387C22×C4311yescharacteristic, complemented
966#387C22×C4311yescharacteristic, complemented
967#387C22×C4311yescharacteristic, complemented
968#387C22×C4311yescharacteristic, complemented
969#387C22×C4311yescharacteristic, complemented
970#387C22×C4311yescharacteristic, complemented
971#386C22×C4311yescharacteristic
972#386C22×C4311yescharacteristic
973#386C22×C4311yescharacteristic
974#386C22×C4311yescharacteristic
975#386C22×C4311yescharacteristic
976#386C22×C4311yescharacteristic
977#386C22×C4311yescharacteristic
978#386C22×C4311yescharacteristic
979#386C22×C4311yescharacteristic
980#386C22×C4311yescharacteristic
981#386C22×C4311yescharacteristic
982#386C22×C4311yescharacteristic
983#386C22×C4311yescharacteristic
984#386C22×C4311yescharacteristic
985#386C22×C4311yescharacteristic
986#386C22×C4311yescharacteristic
987#386C22×C4311yescharacteristic, complemented
988#386C22×C4311yescharacteristic, complemented
989#386C22×C4311yescharacteristic, complemented
990#386C22×C4311yescharacteristic, complemented
991#385C22×C4311yescharacteristic
992#385C22×C4311yescharacteristic
993#385C22×C4311yescharacteristic
994#385C22×C4311yescharacteristic
995#385C22×C4311yescharacteristic
996#385C22×C4311yescharacteristic
997#385C22×C4311yescharacteristic
998#385C22×C4311yescharacteristic, complemented
999#385C22×C4311yescharacteristic, complemented
1000#385C22×C4311yescharacteristic, complemented
1001#382C22×C4311yescharacteristic, complemented
1002#382C22×C4311yescharacteristic, complemented
1003#381C22×C4311yescharacteristic
1004#381C22×C4311yescharacteristic
1005#381C22×C4311yescharacteristic, complemented
1006#381C22×C4311yescharacteristic, complemented
1007#380C22×C4311yescharacteristic
1008#380C22×C4311yescharacteristic
1009#380C22×C4311yescharacteristic
1010#380C22×C4311yescharacteristic, complemented
1011#380C22×C4311yescharacteristic, complemented
1012#379C22×C4311yescharacteristic
1013#379C22×C4311yescharacteristic
1014C4×C4⋊C4C22×C4311yescharacteristic, complemented
1015C4×C22⋊C4C22×C4311yescharacteristic
1016C4×C22⋊C4C22×C4311yescharacteristic
1017C4×C22⋊C4C22×C4311yescharacteristic
1018C4×C22⋊C4C22×C4311yescharacteristic, complemented
1019C4×C22⋊C4C22×C4311yescharacteristic, complemented
1020C4×C22⋊C4C22×C4311yescharacteristic, complemented
1021C43#3688711yescharacteristic, direct product factor, Sylow
1022C25C23×C4311yescharacteristic
1023C22×D4C23×C4311yescharacteristic
1024C22×D4C23×C4311yescharacteristic
1025C22×D4C23×C4311yescharacteristic
1026C22×D4C23×C4311yescharacteristic
1027C22×D4C23×C4311yescharacteristic
1028C22×D4C23×C4311yescharacteristic
1029C22×D4C23×C4311yescharacteristic
1030C22×D4C23×C4311yescharacteristic
1031C22×D4C23×C4311yescharacteristic
1032C22×D4C23×C4311yescharacteristic
1033C22×D4C23×C4311yescharacteristic
1034C22×D4C23×C4311yescharacteristic
1035C22×D4C23×C4311yescharacteristic
1036C22×D4C23×C4311yescharacteristic
1037C22×D4C23×C4311yescharacteristic
1038C22×D4C23×C4311yescharacteristic
1039C22×D4C23×C4311yescharacteristic
1040C22×D4C23×C4311yescharacteristic
1041C23×C4—42no—
1042C23×C4—42no—
1043C23×C4—42no—
1044C23×C4C23×C4311yescharacteristic
1045C23×C4C23×C4311yescharacteristic
1046C23×C4C23×C4311yescharacteristic
1047C23×C4C23×C4311yescharacteristic
1048C23×C4C23×C4311yescharacteristic
1049C23×C4C23×C4311yescharacteristic
1050C23×C4C23×C4311yescharacteristic
1051C23×C4C23×C4311yescharacteristic
1052C23×C4C23×C4311yescharacteristic
1053C23×C4C23×C4311yescharacteristic
1054#127—42no—
1055#126—42no—
1056#126—42no—
1057#126—42no—
1058#123—24no—
1059#123—42no—
1060#123—42no—
1061#123—42no—
1062#121—24no—
1063#121—42no—
1064#121—42no—
1065#121—42no—
1066#121—42no—
1067#121—42no—
1068#121—42no—
1069#121—42no—
1070#121—42no—
1071#120—24no—
1072#120—42no—
1073#120—42no—
1074#120—42no—
1075C4×D4—42no—
1076C4×D4—42no—
1077C4×D4—42no—
1078C2×C4⋊C4C23×C4311yescharacteristic
1079C2×C4⋊C4C23×C4311yescharacteristic
1080C2×C4⋊C4C23×C4311yescharacteristic
1081C2×C4⋊C4C23×C4311yescharacteristic
1082C2×C4⋊C4C23×C4311yescharacteristic
1083C2×C4⋊C4C23×C4311yescharacteristic
1084C2×C4⋊C4C23×C4311yescharacteristic
1085C2×C4⋊C4C23×C4311yescharacteristic
1086C2×C4⋊C4C23×C4311yescharacteristic
1087C2×C4⋊C4C23×C4311yescharacteristic
1088C2×C4⋊C4C23×C4311yescharacteristic
1089C2×C4⋊C4C23×C4311yescharacteristic
1090C2×C4⋊C4C23×C4311yescharacteristic
1091C2×C4⋊C4C23×C4311yescharacteristic
1092C2×C4⋊C4C23×C4311yescharacteristic
1093C2×C4⋊C4C23×C4311yescharacteristic
1094C2×C4⋊C4C23×C4311yescharacteristic
1095C2×C4⋊C4C23×C4311yescharacteristic
1096C2×C4⋊C4C23×C4311yescharacteristic
1097C2×C4⋊C4C23×C4311yescharacteristic
1098C2×C4⋊C4C23×C4311yescharacteristic
1099C2×C4⋊C4C23×C4311yescharacteristic
1100C2×C4⋊C4C23×C4311yescharacteristic
1101C2×C4⋊C4C23×C4311yescharacteristic
1102C2×C4⋊C4C23×C4311yescharacteristic
1103C2×C4⋊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×C22⋊C4C23×C4311yescharacteristic
1135C2×C22⋊C4C23×C4311yescharacteristic
1136C2×C22⋊C4C23×C4311yescharacteristic
1137C2×C22⋊C4C23×C4311yescharacteristic
1138C2×C22⋊C4C23×C4311yescharacteristic
1139C2×C22⋊C4C23×C4311yescharacteristic
1140C2×C22⋊C4C23×C4311yescharacteristic
1141C2×C22⋊C4C23×C4311yescharacteristic
1142C2×C22⋊C4C23×C4311yescharacteristic
1143C2×C22⋊C4C23×C4311yescharacteristic
1144C2×C22⋊C4C23×C4311yescharacteristic
1145C2×C22⋊C4C23×C4311yescharacteristic
1146C2×C22⋊C4C23×C4311yescharacteristic
1147C2×C22⋊C4C23×C4311yescharacteristic
1148C2×C22⋊C4C23×C4311yescharacteristic
1149C2×C22⋊C4C23×C4311yescharacteristic
1150C2×C22⋊C4C23×C4311yescharacteristic
1151C2×C22⋊C4C23×C4311yescharacteristic
1152C2×C22⋊C4C23×C4311yescharacteristic
1153C2×C22⋊C4C23×C4311yescharacteristic
1154C2×C22⋊C4C23×C4311yescharacteristic
1155C2×C22⋊C4C23×C4311yescharacteristic
1156C2×C22⋊C4C23×C4311yescharacteristic
1157C2×C22⋊C4C23×C4311yescharacteristic
1158C2×C22⋊C4C23×C4311yescharacteristic
1159C2×C22⋊C4C23×C4311yescharacteristic
1160C2×C42C23×C4311yescharacteristic
1161C2×C42C23×C4311yescharacteristic
1162C2×C42C23×C4311yescharacteristic
1163C2×C42C23×C4311yescharacteristic
1164C2×C42C23×C4311yescharacteristic
1165C2×C42C23×C4311yescharacteristic
1166C2×C42C23×C4311yescharacteristic
1167C2×C42C23×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
1183#95C23×C4311yescharacteristic
1184#95C23×C4311yescharacteristic
1185#95C23×C4311yescharacteristic
1186#95C23×C4311yescharacteristic
1187#95C23×C4311yescharacteristic
1188#95C23×C4311yescharacteristic
1189#95C23×C4311yescharacteristic
1190#95C23×C4311yescharacteristic
1191#95C23×C4311yescharacteristic
1192#95C23×C4311yescharacteristic
1193#95C23×C4311yescharacteristic
1194#95C23×C4311yescharacteristic
1195#95C23×C4311yescharacteristic
1196#95C23×C4311yescharacteristic
1197#95C23×C4311yescharacteristic
1198#95C23×C4311yescharacteristic
1199#95C23×C4311yescharacteristic
1200#95C23×C4311yescharacteristic
1201#95C23×C4311yescharacteristic
1202#95C23×C4311yescharacteristic
1203#95C23×C4311yescharacteristic
1204C24—22no—
1205C24—22no—
1206C24—22no—
1207C24—41no—
1208C24—41no—
1209C24—41no—
1210C24—41no—
1211C24C24×C4311yescharacteristic
1212C24C24×C4311yescharacteristic
1213C24C24×C4311yescharacteristic
1214C24C24×C4311yescharacteristic
1215C24C24×C4311yescharacteristic
1216C24C24×C4311yescharacteristic
1217C24C24×C4311yescharacteristic
1218C2×D4—22no—
1219C2×D4—22no—
1220C2×D4—22no—
1221C2×D4—22no—
1222C2×D4—22no—
1223C2×D4—22no—
1224C2×D4—22no—
1225C2×D4—22no—
1226C2×D4—22no—
1227C2×D4—22no—
1228C2×D4—22no—
1229C2×D4—22no—
1230C2×D4—22no—
1231C2×D4—22no—
1232C2×D4—22no—
1233C2×D4—22no—
1234C2×D4—41no—
1235C2×D4—41no—
1236C2×D4—41no—
1237C2×D4—41no—
1238C2×D4—41no—
1239C2×D4—41no—
1240C2×D4—41no—
1241C2×D4—41no—
1242C2×D4—41no—
1243C2×D4—41no—
1244C2×D4—41no—
1245C2×D4—41no—
1246C2×D4—41no—
1247C2×D4—41no—
1248C2×D4—41no—
1249C2×D4—41no—
1250C2×D4—41no—
1251C2×D4—41no—
1252C2×D4—41no—
1253C2×D4—41no—
1254C2×D4—41no—
1255C2×D4—41no—
1256C2×D4—41no—
1257C2×D4—41no—
1258C2×D4—41no—
1259C2×D4—41no—
1260C2×D4—41no—
1261C2×D4—41no—
1262C2×D4—41no—
1263C2×D4—41no—
1264C2×D4—41no—
1265C2×D4—41no—
1266C2×D4—41no—
1267C2×D4—41no—
1268C2×D4—41no—
1269C2×D4—41no—
1270C2×D4—41no—
1271C2×D4—41no—
1272C22×C4—22no—
1273C22×C4—22no—
1274C22×C4—22no—
1275C22×C4—22no—
1276C22×C4—22no—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—22no—
1281C22×C4—22no—
1282C22×C4—22no—
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—416no—
1303C22×C4C24×C4311yescharacteristic
1304C22×C4C24×C4311yescharacteristic
1305C22×C4C24×C4311yescharacteristic
1306C22×C4C24×C4311yescharacteristic
1307C22×C4C24×C4311yescharacteristic
1308C22×C4C24×C4311yescharacteristic
1309C22×C4C24×C4311yescharacteristic
1310C22×C4C24×C4311yescharacteristic
1311C22×C4C24×C4311yescharacteristic
1312C22×C4C24×C4311yescharacteristic
1313C22×C4C24×C4311yescharacteristic
1314C22×C4C24×C4311yescharacteristic
1315C22×C4C24×C4311yescharacteristic
1316C22×C4C24×C4311yescharacteristic
1317C22×C4C24×C4311yescharacteristic
1318C22×C4C24×C4311yescharacteristic
1319C22×C4C24×C4311yescharacteristic
1320C22×C4C24×C4311yescharacteristic
1321C22×C4C24×C4311yescharacteristic
1322C22×C4C24×C4311yescharacteristic
1323C22×C4C24×C4311yescharacteristic
1324C22×C4C24×C4311yescharacteristic
1325C22×C4C24×C4311yescharacteristic
1326C22×C4C24×C4311yescharacteristic
1327C4⋊C4—22no—
1328C4⋊C4—22no—
1329C4⋊C4—22no—
1330C4⋊C4—22no—
1331C4⋊C4—22no—
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—41no—
1335C4⋊C4—41no—
1336C4⋊C4—41no—
1337C4⋊C4—41no—
1338C4⋊C4—41no—
1339C4⋊C4—41no—
1340C4⋊C4—41no—
1341C4⋊C4—41no—
1342C4⋊C4—41no—
1343C4⋊C4—41no—
1344C4⋊C4—41no—
1345C4⋊C4—41no—
1346C4⋊C4—41no—
1347C4⋊C4—41no—
1348C4⋊C4—41no—
1349C4⋊C4—41no—
1350C4⋊C4—41no—
1351C4⋊C4—41no—
1352C4⋊C4—41no—
1353C22⋊C4—22no—
1354C22⋊C4—22no—
1355C22⋊C4—22no—
1356C22⋊C4—22no—
1357C22⋊C4—22no—
1358C22⋊C4—22no—
1359C22⋊C4—22no—
1360C22⋊C4—22no—
1361C22⋊C4—22no—
1362C22⋊C4—22no—
1363C22⋊C4—22no—
1364C22⋊C4—22no—
1365C22⋊C4—22no—
1366C22⋊C4—22no—
1367C22⋊C4—22no—
1368C22⋊C4—22no—
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—
1382C22⋊C4—41no—
1383C22⋊C4—41no—
1384C22⋊C4—41no—
1385C22⋊C4—41no—
1386C22⋊C4—41no—
1387C22⋊C4—41no—
1388C22⋊C4—41no—
1389C22⋊C4—41no—
1390C22⋊C4—41no—
1391C22⋊C4—41no—
1392C22⋊C4—41no—
1393C22⋊C4—41no—
1394C22⋊C4—41no—
1395C22⋊C4—41no—
1396C22⋊C4—41no—
1397C22⋊C4—41no—
1398C22⋊C4—41no—
1399C22⋊C4—41no—
1400C22⋊C4—41no—
1401C22⋊C4—41no—
1402C22⋊C4—41no—
1403C22⋊C4—41no—
1404C22⋊C4—41no—
1405C22⋊C4—41no—
1406C22⋊C4—41no—
1407C22⋊C4—41no—
1408C22⋊C4#41×C4314yes—
1409C42—22no—
1410C42—41no—
1411C42—41no—
1412C42—41no—
1413C42—41no—
1414C42—41no—
1415C42—41no—
1416C42—41no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—44no—
1464C23—44no—
1465C23—44no—
1466C23—44no—
1467C23—44no—
1468C23—44no—
1469C23—44no—
1470C23C2×#41×C4312yes—
1471C23H(5,𝔽2)×C4312yes—
1472C23H(5,𝔽2)×C4312yes—
1473C23C25×C4311yescharacteristic
1474D4—44no—
1475D4—44no—
1476D4—44no—
1477D4—82no—
1478D4—82no—
1479D4—82no—
1480D4—82no—
1481D4—82no—
1482D4—82no—
1483D4—82no—
1484D4—82no—
1485D4—82no—
1486D4—82no—
1487D4—82no—
1488D4—82no—
1489D4—82no—
1490D4—82no—
1491D4—82no—
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—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—44no—
1561C2×C4—44no—
1562C2×C4—44no—
1563C2×C4—44no—
1564C2×C4—44no—
1565C2×C4—44no—
1566C2×C4—82no—
1567C2×C4—82no—
1568C2×C4—82no—
1569C2×C4—82no—
1570C2×C4C2×#41×C4312yes—
1571C2×C4C2×#41×C4312yes—
1572C2×C4H(5,𝔽2)×C4312yes—
1573C2×C4H(5,𝔽2)×C4312yes—
1574C22—22no—
1575C22—22no—
1576C22—22no—
1577C22—22no—
1578C22—22no—
1579C22—22no—
1580C22—22no—
1581C22—22no—
1582C22—22no—
1583C22—416no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—41no—
1624C22C22×#41×C4311yescharacteristic
1625C22C2×H(5,𝔽2)×C4311yescharacteristic
1626C22C2×H(5,𝔽2)×C4311yescharacteristic
1627C22C2×H(5,𝔽2)×C4311yescharacteristic
1628C22C2×H(5,𝔽2)×C4311yescharacteristic
1629C22C43×#58511yescharacteristic
1630C22C43×#58511yescharacteristic
1631C4—22no—
1632C4—22no—
1633C4—22no—
1634C4—22no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C2—42no—
1656C2—42no—
1657C2—42no—
1658C2—81no—
1659C2—81no—
1660C2—81no—
1661C2—81no—
1662C2C43×#346011yescharacteristic
1663C2C43×#351311yescharacteristic
1664C2C43×#351911yescharacteristic
1665C2C43×#353211yescharacteristic
1666C2C43×#353411yescharacteristic
1667C2C43×#353911yescharacteristic
1668C2C43×#354211yescharacteristic
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×#2778C2semidirect
4. C43×#2768C2semidirect
5. C43×#2753C2semidirect
6. C43×#2746C2semidirect
7. C43×#2739C2semidirect
8. C43×#2714C2semidirect
9. C43×#2709C2semidirect
10. C43×#2705C2semidirect
11. C43×#2699C2semidirect
12. C43×#2691C2semidirect
13. C43×#2685C2semidirect
14. C43×#2678C2semidirect
15. C43×#2678C2semidirect
16. C43×#2671C2semidirect
17. C43×#2671C2semidirect
18. C43×#2669C2semidirect
19. C43×#2636C2semidirect
20. C43×#2635C2semidirect
21. C43×#2576C2semidirect
22. C43×#2559C2semidirect
23. C43×#2554C2semidirect
24. C43×#2553C2semidirect
25. C43×#2468C2semidirect
26. C43×#2464C2semidirect
27. C43×#2428C2semidirect
28. C43×#2420C2semidirect
29. C43×#2335C2semidirect
30. C43×#2333C2semidirect
31. C4×#120×C43C2semidirect
35. C2×#126×C43C22semidirect
36. C2×#126×C43C22semidirect
48. C2×#121×C43C22semidirect
49. C2×#121×C43C22semidirect
57. C43×#401C22semidirect
58. C43×#400C22semidirect
59. C43×#400C22semidirect
60. C43×#400C22semidirect
62. C43×#399C22semidirect
63. C43×#399C22semidirect
64. C43×#398C22semidirect
65. C43×#398C22semidirect
66. C43×#398C22semidirect
67. C43×#398C22semidirect
68. C43×#398C22semidirect
71. C43×#397C22semidirect
72. C43×#397C22semidirect
76. C43×#396C22semidirect
87. C43×#394C22semidirect
88. C43×#394C22semidirect
89. C43×#394C22semidirect
90. C43×#394C22semidirect
91. C43×#394C22semidirect
92. C43×#394C22semidirect
93. C43×#394C22semidirect
94. C43×#394C22semidirect
95. C43×#394C22semidirect
104. C43×#392C22semidirect
111. C43×#390C22semidirect
112. C43×#390C22semidirect
113. C43×#389C22semidirect
114. C43×#389C22semidirect
115. C43×#389C22semidirect
123. C43×#388C22semidirect
124. C43×#388C22semidirect
125. C43×#388C22semidirect
126. C43×#388C22semidirect
127. C43×#388C22semidirect
128. C43×#388C22semidirect
129. C43×#388C22semidirect
130. C43×#388C22semidirect
131. C43×#387C22semidirect
132. C43×#387C22semidirect
133. C43×#387C22semidirect
134. C43×#387C22semidirect
135. C43×#387C22semidirect
136. C43×#387C22semidirect
153. C43×#386C22semidirect
154. C43×#386C22semidirect
155. C43×#386C22semidirect
156. C43×#386C22semidirect
164. C43×#385C22semidirect
165. C43×#385C22semidirect
166. C43×#385C22semidirect
167. C43×#382C22semidirect
168. C43×#382C22semidirect
171. C43×#381C22semidirect
172. C43×#381C22semidirect
176. C43×#380C22semidirect
177. C43×#380C22semidirect
180. C4×C4⋊C4×C43C22semidirect
184. C4×C22⋊C4×C43C22semidirect
185. C4×C22⋊C4×C43C22semidirect
186. C4×C22⋊C4×C43C22semidirect
739. #36887C43direct (N × H)
821. #2849C2×C43semidirect
822. #2847C2×C43semidirect
823. #2778C2×C43semidirect
824. #2768C2×C43semidirect
825. #2753C2×C43semidirect
826. #2746C2×C43semidirect
827. #2739C2×C43semidirect
828. #2714C2×C43semidirect
829. #2709C2×C43semidirect
830. #2705C2×C43semidirect
831. #2699C2×C43semidirect
832. #2691C2×C43semidirect
833. #2685C2×C43semidirect
834. #2678C2×C43semidirect
835. #2678C2×C43semidirect
836. #2671C2×C43semidirect
837. #2671C2×C43semidirect
838. #2669C2×C43semidirect
839. #2636C2×C43semidirect
840. #2635C2×C43semidirect
841. #2576C2×C43semidirect
842. #2559C2×C43semidirect
843. #2554C2×C43semidirect
844. #2553C2×C43semidirect
845. #2468C2×C43semidirect
846. #2464C2×C43semidirect
847. #2428C2×C43semidirect
848. #2420C2×C43semidirect
849. #2335C2×C43semidirect
850. #2333C2×C43semidirect
851. C4×#120C2×C43semidirect
869. C2×#126C22×C43semidirect
870. C2×#126C22×C43semidirect
882. C2×#121C22×C43semidirect
883. C2×#121C22×C43semidirect
891. #401C22×C43semidirect
892. #400C22×C43semidirect
893. #400C22×C43semidirect
894. #400C22×C43semidirect
896. #399C22×C43semidirect
897. #399C22×C43semidirect
898. #398C22×C43semidirect
899. #398C22×C43semidirect
900. #398C22×C43semidirect
901. #398C22×C43semidirect
902. #398C22×C43semidirect
905. #397C22×C43semidirect
906. #397C22×C43semidirect
910. #396C22×C43semidirect
921. #394C22×C43semidirect
922. #394C22×C43semidirect
923. #394C22×C43semidirect
924. #394C22×C43semidirect
925. #394C22×C43semidirect
926. #394C22×C43semidirect
927. #394C22×C43semidirect
928. #394C22×C43semidirect
929. #394C22×C43semidirect
938. #392C22×C43semidirect
945. #390C22×C43semidirect
946. #390C22×C43semidirect
947. #389C22×C43semidirect
948. #389C22×C43semidirect
949. #389C22×C43semidirect
957. #388C22×C43semidirect
958. #388C22×C43semidirect
959. #388C22×C43semidirect
960. #388C22×C43semidirect
961. #388C22×C43semidirect
962. #388C22×C43semidirect
963. #388C22×C43semidirect
964. #388C22×C43semidirect
965. #387C22×C43semidirect
966. #387C22×C43semidirect
967. #387C22×C43semidirect
968. #387C22×C43semidirect
969. #387C22×C43semidirect
970. #387C22×C43semidirect
987. #386C22×C43semidirect
988. #386C22×C43semidirect
989. #386C22×C43semidirect
990. #386C22×C43semidirect
998. #385C22×C43semidirect
999. #385C22×C43semidirect
1000. #385C22×C43semidirect
1001. #382C22×C43semidirect
1002. #382C22×C43semidirect
1005. #381C22×C43semidirect
1006. #381C22×C43semidirect
1010. #380C22×C43semidirect
1011. #380C22×C43semidirect
1014. C4×C4⋊C4C22×C43semidirect
1018. C4×C22⋊C4C22×C43semidirect
1019. C4×C22⋊C4C22×C43semidirect
1020. C4×C22⋊C4C22×C43semidirect
1021. C43#36887direct (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×#27782
C43×#27682
C43×#27532
C43×#27462
C43×#27392
C43×#27142
C43×#27092
C43×#27052
C43×#26992
C43×#26912
C43×#26852
C43×#26782
C43×#26712
C43×#26692
C43×#26362
C43×#26352
C43×#25762
C43×#25592
C43×#25542
C43×#25532
C43×#24682
C43×#24642
C43×#24282
C43×#24202
C43×#23352
C43×#23332
C4×#120×C432
#3688743