Finite Group Databasebeta

← C43×#36839 #24956856

Subgroups — C43×#36839 #24956856

Order 11008.

1980 conjugacy classes of subgroups.

The subgroup lattice has 1590 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C43×#2849C211yesmaximal, characteristic, complemented
2C43×#2849C211yesmaximal, characteristic, complemented
3C43×#2782C211yesmaximal, characteristic, complemented
4C43×#2780C211yesmaximal, characteristic, complemented
5C43×#2771C211yesmaximal, characteristic, complemented
6C43×#2757C211yesmaximal, characteristic, complemented
7C43×#2750C211yesmaximal, characteristic, complemented
8C43×#2749C211yesmaximal, characteristic, complemented
9C43×#2743C211yesmaximal, characteristic, complemented
10C43×#2735C211yesmaximal, characteristic, complemented
11C43×#2724C211yesmaximal, characteristic, complemented
12C43×#2708C211yesmaximal, characteristic, complemented
13C43×#2706C211yesmaximal, characteristic, complemented
14C43×#2703C211yesmaximal, characteristic, complemented
15C43×#2688C211yesmaximal, characteristic, complemented
16C43×#2678C211yesmaximal, characteristic, complemented
17C43×#2678C211yesmaximal, characteristic, complemented
18C43×#2668C211yesmaximal, characteristic, complemented
19C43×#2652C211yesmaximal, characteristic, complemented
20C43×#2648C211yesmaximal, characteristic, complemented
21C43×#2516C211yesmaximal, characteristic, complemented
22C43×#2515C211yesmaximal, characteristic, complemented
23C43×#2471C211yesmaximal, characteristic, complemented
24C43×#2470C211yesmaximal, characteristic, complemented
25C43×#2456C211yesmaximal, characteristic, complemented
26C43×#2455C211yesmaximal, characteristic, complemented
27C43×#2444C211yesmaximal, characteristic, complemented
28C43×#2419C211yesmaximal, characteristic, complemented
29C43×#2325C211yesmaximal, characteristic, complemented
30C43×#2324C211yesmaximal, characteristic, complemented
31C4×#120×C43C211yesmaximal, characteristic, complemented
32C24×C4×C43C2211yescharacteristic
33C2×#123×C43C2211yescharacteristic
34C2×#123×C43C2211yescharacteristic
35C2×#123×C43C2211yescharacteristic
36C2×#123×C43C2211yescharacteristic
37C2×#123×C43C2211yescharacteristic
38C2×#123×C43C2211yescharacteristic
39C2×#121×C43C2211yescharacteristic
40C2×#121×C43C2211yescharacteristic
41C2×#121×C43C2211yescharacteristic
42C2×#121×C43C2211yescharacteristic
43C2×#120×C43C2211yescharacteristic
44C2×#120×C43C2211yescharacteristic
45C2×#120×C43C2211yescharacteristic
46C2×C4×D4×C43C2211yescharacteristic
47C2×C4×D4×C43C2211yescharacteristic
48C2×C4×D4×C43C2211yescharacteristic
49C2×C4×D4×C43C2211yescharacteristic, complemented
50C2×#117×C43C2211yescharacteristic, complemented
51C43×#400C2211yescharacteristic, complemented
52C43×#400C2211yescharacteristic, complemented
53C43×#400C2211yescharacteristic, complemented
54C43×#400C2211yescharacteristic, complemented
55C43×#400C2211yescharacteristic, complemented
56C43×#400C2211yescharacteristic, complemented
57C43×#400C2211yescharacteristic, complemented
58C43×#400C2211yescharacteristic, complemented
59C43×#400C2211yescharacteristic, complemented
60C43×#399C2211yescharacteristic
61C43×#399C2211yescharacteristic
62C43×#399C2211yescharacteristic, complemented
63C43×#398C2211yescharacteristic, complemented
64C43×#398C2211yescharacteristic, complemented
65C43×#398C2211yescharacteristic, complemented
66C43×#397C2211yescharacteristic
67C43×#397C2211yescharacteristic
68C43×#397C2211yescharacteristic
69C43×#397C2211yescharacteristic
70C43×#397C2211yescharacteristic
71C43×#397C2211yescharacteristic
72C43×#397C2211yescharacteristic
73C43×#397C2211yescharacteristic, complemented
74C43×#397C2211yescharacteristic, complemented
75C43×#397C2211yescharacteristic, complemented
76C43×#397C2211yescharacteristic, complemented
77C43×#397C2211yescharacteristic, complemented
78C43×#397C2211yescharacteristic, complemented
79C43×#396C2211yescharacteristic
80C43×#396C2211yescharacteristic
81C43×#396C2211yescharacteristic
82C43×#396C2211yescharacteristic
83C43×#396C2211yescharacteristic, complemented
84C43×#396C2211yescharacteristic, complemented
85C43×#394C2211yescharacteristic
86C43×#394C2211yescharacteristic
87C43×#394C2211yescharacteristic
88C43×#394C2211yescharacteristic
89C43×#394C2211yescharacteristic
90C43×#394C2211yescharacteristic
91C43×#394C2211yescharacteristic, complemented
92C43×#394C2211yescharacteristic, complemented
93C43×#392C2211yescharacteristic
94C43×#392C2211yescharacteristic
95C43×#392C2211yescharacteristic
96C43×#392C2211yescharacteristic
97C43×#392C2211yescharacteristic
98C43×#392C2211yescharacteristic, complemented
99C43×#390C2211yescharacteristic
100C43×#390C2211yescharacteristic
101C43×#390C2211yescharacteristic
102C43×#390C2211yescharacteristic
103C43×#390C2211yescharacteristic, complemented
104C43×#390C2211yescharacteristic, complemented
105C43×#389C2211yescharacteristic, complemented
106C43×#389C2211yescharacteristic, complemented
107C43×#389C2211yescharacteristic, complemented
108C43×#389C2211yescharacteristic, complemented
109C43×#388C2211yescharacteristic
110C43×#388C2211yescharacteristic
111C43×#388C2211yescharacteristic
112C43×#388C2211yescharacteristic
113C43×#388C2211yescharacteristic
114C43×#388C2211yescharacteristic
115C43×#388C2211yescharacteristic
116C43×#388C2211yescharacteristic
117C43×#388C2211yescharacteristic, complemented
118C43×#388C2211yescharacteristic, complemented
119C43×#388C2211yescharacteristic, complemented
120C43×#388C2211yescharacteristic, complemented
121C43×#388C2211yescharacteristic, complemented
122C43×#388C2211yescharacteristic, complemented
123C43×#387C2211yescharacteristic, 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, complemented
149C43×#386C2211yescharacteristic, complemented
150C43×#386C2211yescharacteristic, complemented
151C43×#386C2211yescharacteristic, complemented
152C43×#385C2211yescharacteristic
153C43×#385C2211yescharacteristic
154C43×#385C2211yescharacteristic
155C43×#385C2211yescharacteristic
156C43×#385C2211yescharacteristic
157C43×#385C2211yescharacteristic
158C43×#385C2211yescharacteristic
159C43×#385C2211yescharacteristic
160C43×#385C2211yescharacteristic
161C43×#385C2211yescharacteristic
162C43×#385C2211yescharacteristic
163C43×#385C2211yescharacteristic, complemented
164C43×#385C2211yescharacteristic, complemented
165C43×#385C2211yescharacteristic, complemented
166C43×#385C2211yescharacteristic, complemented
167C43×#385C2211yescharacteristic, complemented
168C43×#385C2211yescharacteristic, complemented
169C43×#383C2211yescharacteristic, complemented
170C43×#382C2211yescharacteristic, complemented
171C43×#381C2211yescharacteristic
172C43×#381C2211yescharacteristic
173C43×#381C2211yescharacteristic
174C43×#381C2211yescharacteristic
175C43×#381C2211yescharacteristic, complemented
176C43×#380C2211yescharacteristic, complemented
177C43×#380C2211yescharacteristic, complemented
178C43×#380C2211yescharacteristic, complemented
179C43×#379C2211yescharacteristic
180C43×#379C2211yescharacteristic
181C43×#379C2211yescharacteristic
182C4×C4⋊C4×C43C2211yescharacteristic, complemented
183C4×C22⋊C4×C43C2211yescharacteristic
184C4×C22⋊C4×C43C2211yescharacteristic
185C4×C22⋊C4×C43C2211yescharacteristic
186C2×#95×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
200C23×C4×C43—42no—
201C23×C4×C43—42no—
202C23×C4×C43—42no—
203C23×C4×C43C2311yescharacteristic
204C23×C4×C43C2311yescharacteristic
205C23×C4×C43C2311yescharacteristic
206C23×C4×C43C2311yescharacteristic
207C23×C4×C43C2311yescharacteristic
208C23×C4×C43C2311yescharacteristic
209C23×C4×C43C2311yescharacteristic
210C23×C4×C43C2311yescharacteristic
211C23×C4×C43C2311yescharacteristic
212C23×C4×C43C2311yescharacteristic
213C23×C4×C43C2311yescharacteristic
214#123×C43—42no—
215#123×C43—42no—
216#123×C43—42no—
217#123×C43—42no—
218#123×C43—42no—
219#123×C43—42no—
220#121×C43—24no—
221#121×C43—24no—
222#121×C43—42no—
223#121×C43—42no—
224#120×C43—24no—
225#120×C43—42no—
226#120×C43—42no—
227C4×D4×C43—42no—
228C4×D4×C43—42no—
229C4×D4×C43—42no—
230C4×D4×C43—42no—
231#117×C43—42no—
232C2×C4⋊C4×C43C2311yescharacteristic
233C2×C4⋊C4×C43C2311yescharacteristic
234C2×C4⋊C4×C43C2311yescharacteristic
235C2×C4⋊C4×C43C2311yescharacteristic
236C2×C4⋊C4×C43C2311yescharacteristic
237C2×C4⋊C4×C43C2311yescharacteristic
238C2×C4⋊C4×C43C2311yescharacteristic
239C2×C4⋊C4×C43C2311yescharacteristic
240C2×C4⋊C4×C43C2311yescharacteristic
241C2×C4⋊C4×C43C2311yescharacteristic
242C2×C4⋊C4×C43C2311yescharacteristic
243C2×C4⋊C4×C43C2311yescharacteristic
244C2×C4⋊C4×C43C2311yescharacteristic
245C2×C4⋊C4×C43C2311yescharacteristic
246C2×C4⋊C4×C43C2311yescharacteristic
247C2×C4⋊C4×C43C2311yescharacteristic
248C2×C4⋊C4×C43C2311yescharacteristic
249C2×C4⋊C4×C43C2311yescharacteristic
250C2×C4⋊C4×C43C2311yescharacteristic
251C2×C4⋊C4×C43C2311yescharacteristic
252C2×C4⋊C4×C43C2311yescharacteristic
253C2×C4⋊C4×C43C2311yescharacteristic
254C2×C4⋊C4×C43C2311yescharacteristic
255C2×C4⋊C4×C43C2311yescharacteristic
256C2×C4⋊C4×C43C2311yescharacteristic
257C2×C4⋊C4×C43C2311yescharacteristic
258C2×C4⋊C4×C43C2311yescharacteristic
259C2×C4⋊C4×C43C2311yescharacteristic
260C2×C22⋊C4×C43C2311yescharacteristic
261C2×C22⋊C4×C43C2311yescharacteristic
262C2×C22⋊C4×C43C2311yescharacteristic
263C2×C22⋊C4×C43C2311yescharacteristic
264C2×C22⋊C4×C43C2311yescharacteristic
265C2×C22⋊C4×C43C2311yescharacteristic
266C2×C22⋊C4×C43C2311yescharacteristic
267C2×C22⋊C4×C43C2311yescharacteristic
268C2×C22⋊C4×C43C2311yescharacteristic
269C2×C22⋊C4×C43C2311yescharacteristic
270C2×C22⋊C4×C43C2311yescharacteristic
271C2×C22⋊C4×C43C2311yescharacteristic
272C2×C22⋊C4×C43C2311yescharacteristic
273C2×C22⋊C4×C43C2311yescharacteristic
274C2×C22⋊C4×C43C2311yescharacteristic
275C2×C22⋊C4×C43C2311yescharacteristic
276C2×C22⋊C4×C43C2311yescharacteristic
277C2×C22⋊C4×C43C2311yescharacteristic
278C2×C22⋊C4×C43C2311yescharacteristic
279C2×C22⋊C4×C43C2311yescharacteristic
280C2×C22⋊C4×C43C2311yescharacteristic
281C2×C22⋊C4×C43C2311yescharacteristic
282C2×C22⋊C4×C43C2311yescharacteristic
283C2×C22⋊C4×C43C2311yescharacteristic
284C2×C22⋊C4×C43C2311yescharacteristic
285C2×C22⋊C4×C43C2311yescharacteristic
286C2×C22⋊C4×C43C2311yescharacteristic
287C2×C22⋊C4×C43C2311yescharacteristic
288C2×C22⋊C4×C43C2311yescharacteristic
289C2×C22⋊C4×C43C2311yescharacteristic
290C2×C22⋊C4×C43C2311yescharacteristic
291C2×C22⋊C4×C43C2311yescharacteristic
292C2×C22⋊C4×C43C2311yescharacteristic
293C2×C22⋊C4×C43C2311yescharacteristic
294C2×C22⋊C4×C43C2311yescharacteristic
295C2×C22⋊C4×C43C2311yescharacteristic
296C2×C22⋊C4×C43C2311yescharacteristic
297C2×C22⋊C4×C43C2311yescharacteristic
298C2×C22⋊C4×C43C2311yescharacteristic
299C2×C22⋊C4×C43C2311yescharacteristic
300C2×C22⋊C4×C43C2311yescharacteristic
301C2×C22⋊C4×C43C2311yescharacteristic
302C2×C22⋊C4×C43C2311yescharacteristic
303C2×C22⋊C4×C43C2311yescharacteristic
304C2×C22⋊C4×C43C2311yescharacteristic
305C2×C22⋊C4×C43C2311yescharacteristic
306C2×C22⋊C4×C43C2311yescharacteristic
307C2×C22⋊C4×C43C2311yescharacteristic
308C2×C22⋊C4×C43C2311yescharacteristic
309C2×C22⋊C4×C43C2311yescharacteristic
310C2×C22⋊C4×C43C2311yescharacteristic
311C2×C22⋊C4×C43C2311yescharacteristic
312C2×C42×C43C2311yescharacteristic
313C2×C42×C43C2311yescharacteristic
314C2×C42×C43C2311yescharacteristic
315C2×C42×C43C2311yescharacteristic
316C2×C42×C43C2311yescharacteristic
317C2×C42×C43C2311yescharacteristic
318C2×C42×C43C2311yescharacteristic
319#95×C43C2311yescharacteristic
320#95×C43C2311yescharacteristic
321#95×C43C2311yescharacteristic
322#95×C43C2311yescharacteristic
323#95×C43C2311yescharacteristic
324#95×C43C2311yescharacteristic
325#95×C43C2311yescharacteristic
326#95×C43C2311yescharacteristic
327#95×C43C2311yescharacteristic
328#95×C43C2311yescharacteristic
329#95×C43C2311yescharacteristic
330#95×C43C2311yescharacteristic
331#95×C43C2311yescharacteristic
332#95×C43C2311yescharacteristic
333#95×C43C2311yescharacteristic
334#95×C43C2311yescharacteristic
335#95×C43C2311yescharacteristic
336#95×C43C2311yescharacteristic
337#95×C43C2311yescharacteristic
338#95×C43C2311yescharacteristic
339#95×C43C2311yescharacteristic
340#95×C43C2311yescharacteristic
341#95×C43C2311yescharacteristic
342#95×C43C2311yescharacteristic
343#95×C43C2311yescharacteristic
344#95×C43C2311yescharacteristic
345#95×C43C2311yescharacteristic
346#95×C43C2311yescharacteristic
347#95×C43C2311yescharacteristic
348#95×C43C2311yescharacteristic
349#95×C43C2311yescharacteristic
350#95×C43C2311yescharacteristic
351#95×C43C2311yescharacteristic
352#95×C43C2311yescharacteristic
353#95×C43C2311yescharacteristic
354#95×C43C2311yescharacteristic
355#95×C43C2311yescharacteristic
356#95×C43C2311yescharacteristic
357#95×C43C2311yescharacteristic
358#95×C43C2311yescharacteristic
359#95×C43C2311yescharacteristic
360#95×C43C2311yescharacteristic
361#95×C43C2311yescharacteristic
362#95×C43C2311yescharacteristic
363C24×C43—22no—
364C24×C43—22no—
365C24×C43—22no—
366C24×C43—41no—
367C24×C43—41no—
368C24×C43—41no—
369C24×C43—41no—
370C24×C43C2411yescharacteristic
371C24×C43C2411yescharacteristic
372C24×C43C2411yescharacteristic
373C24×C43C2411yescharacteristic
374C24×C43C2411yescharacteristic
375C24×C43C2411yescharacteristic
376C2×D4×C43—22no—
377C2×D4×C43—22no—
378C2×D4×C43—22no—
379C2×D4×C43—22no—
380C2×D4×C43—22no—
381C2×D4×C43—22no—
382C2×D4×C43—22no—
383C2×D4×C43—22no—
384C2×D4×C43—22no—
385C2×D4×C43—22no—
386C2×D4×C43—22no—
387C2×D4×C43—22no—
388C2×D4×C43—41no—
389C2×D4×C43—41no—
390C2×D4×C43—41no—
391C2×D4×C43—41no—
392C2×D4×C43—41no—
393C2×D4×C43—41no—
394C2×D4×C43—41no—
395C2×D4×C43—41no—
396C2×D4×C43—41no—
397C2×D4×C43—41no—
398C2×D4×C43—41no—
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#4114yes—
412C22×C4×C43—22no—
413C22×C4×C43—22no—
414C22×C4×C43—22no—
415C22×C4×C43—22no—
416C22×C4×C43—22no—
417C22×C4×C43—22no—
418C22×C4×C43—22no—
419C22×C4×C43—22no—
420C22×C4×C43—22no—
421C22×C4×C43—22no—
422C22×C4×C43—41no—
423C22×C4×C43—41no—
424C22×C4×C43—41no—
425C22×C4×C43—41no—
426C22×C4×C43—41no—
427C22×C4×C43—41no—
428C22×C4×C43—41no—
429C22×C4×C43—41no—
430C22×C4×C43—41no—
431C22×C4×C43—41no—
432C22×C4×C43—41no—
433C22×C4×C43—41no—
434C22×C4×C43—41no—
435C22×C4×C43—41no—
436C22×C4×C43—41no—
437C22×C4×C43—41no—
438C22×C4×C43—41no—
439C22×C4×C43—41no—
440C22×C4×C43—41no—
441C22×C4×C43—41no—
442C22×C4×C43—41no—
443C22×C4×C43—41no—
444C22×C4×C43—41no—
445C22×C4×C43—416no—
446C22×C4×C43C2411yescharacteristic
447C22×C4×C43C2411yescharacteristic
448C22×C4×C43C2411yescharacteristic
449C22×C4×C43C2411yescharacteristic
450C22×C4×C43C2411yescharacteristic
451C22×C4×C43C2411yescharacteristic
452C22×C4×C43C2411yescharacteristic
453C22×C4×C43C2411yescharacteristic
454C22×C4×C43C2411yescharacteristic
455C22×C4×C43C2411yescharacteristic
456C22×C4×C43C2411yescharacteristic
457C22×C4×C43C2411yescharacteristic
458C22×C4×C43C2411yescharacteristic
459C22×C4×C43C2411yescharacteristic
460C22×C4×C43C2411yescharacteristic
461C22×C4×C43C2411yescharacteristic
462C22×C4×C43C2411yescharacteristic
463C22×C4×C43C2411yescharacteristic
464C22×C4×C43C2411yescharacteristic
465C22×C4×C43C2411yescharacteristic
466C22×C4×C43C2411yescharacteristic
467C22×C4×C43C2411yescharacteristic
468C22×C4×C43C2411yescharacteristic
469C22×C4×C43C2411yescharacteristic
470C22×C4×C43C2411yescharacteristic
471C4⋊C4×C43—22no—
472C4⋊C4×C43—22no—
473C4⋊C4×C43—22no—
474C4⋊C4×C43—22no—
475C4⋊C4×C43—41no—
476C4⋊C4×C43—41no—
477C4⋊C4×C43—41no—
478C4⋊C4×C43—41no—
479C4⋊C4×C43—41no—
480C4⋊C4×C43—41no—
481C4⋊C4×C43—41no—
482C4⋊C4×C43—41no—
483C4⋊C4×C43—41no—
484C4⋊C4×C43—41no—
485C4⋊C4×C43—41no—
486C4⋊C4×C43—41no—
487C4⋊C4×C43—41no—
488C4⋊C4×C43—41no—
489C4⋊C4×C43—41no—
490C4⋊C4×C43—41no—
491C4⋊C4×C43—41no—
492C4⋊C4×C43—41no—
493C4⋊C4×C43—41no—
494C4⋊C4×C43—41no—
495C4⋊C4×C43—41no—
496C4⋊C4×C43—41no—
497C4⋊C4×C43—41no—
498C4⋊C4×C43—41no—
499C22⋊C4×C43—22no—
500C22⋊C4×C43—22no—
501C22⋊C4×C43—22no—
502C22⋊C4×C43—22no—
503C22⋊C4×C43—22no—
504C22⋊C4×C43—22no—
505C22⋊C4×C43—22no—
506C22⋊C4×C43—22no—
507C22⋊C4×C43—22no—
508C22⋊C4×C43—22no—
509C22⋊C4×C43—22no—
510C22⋊C4×C43—22no—
511C22⋊C4×C43—22no—
512C22⋊C4×C43—22no—
513C22⋊C4×C43—22no—
514C22⋊C4×C43—41no—
515C22⋊C4×C43—41no—
516C22⋊C4×C43—41no—
517C22⋊C4×C43—41no—
518C22⋊C4×C43—41no—
519C22⋊C4×C43—41no—
520C22⋊C4×C43—41no—
521C22⋊C4×C43—41no—
522C22⋊C4×C43—41no—
523C22⋊C4×C43—41no—
524C22⋊C4×C43—41no—
525C22⋊C4×C43—41no—
526C22⋊C4×C43—41no—
527C22⋊C4×C43—41no—
528C22⋊C4×C43—41no—
529C22⋊C4×C43—41no—
530C22⋊C4×C43—41no—
531C22⋊C4×C43—41no—
532C22⋊C4×C43—41no—
533C22⋊C4×C43—41no—
534C22⋊C4×C43—41no—
535C22⋊C4×C43—41no—
536C22⋊C4×C43—41no—
537C22⋊C4×C43—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—
551C42×C43—22no—
552C42×C43—41no—
553C42×C43—41no—
554C42×C43—41no—
555C42×C43—41no—
556C42×C43—41no—
557C42×C43—41no—
558C23×C43—21no—
559C23×C43—21no—
560C23×C43—21no—
561C23×C43—21no—
562C23×C43—21no—
563C23×C43—21no—
564C23×C43—21no—
565C23×C43—21no—
566C23×C43—21no—
567C23×C43—21no—
568C23×C43—21no—
569C23×C43—21no—
570C23×C43—21no—
571C23×C43—21no—
572C23×C43—21no—
573C23×C43—21no—
574C23×C43—21no—
575C23×C43—21no—
576C23×C43—21no—
577C23×C43—21no—
578C23×C43—21no—
579C23×C43—21no—
580C23×C43—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—44no—
597C23×C43—44no—
598C23×C43—44no—
599C23×C43—44no—
600C23×C43—44no—
601C23×C43—44no—
602C23×C43—44no—
603C23×C43C2×#4112yes—
604C23×C43C2×#4112yes—
605C23×C43H(5,𝔽2)12yes—
606C23×C43H(5,𝔽2)12yes—
607C23×C43C2511yescharacteristic
608D4×C43—44no—
609D4×C43—44no—
610D4×C43—44no—
611D4×C43—44no—
612D4×C43—82no—
613D4×C43—82no—
614D4×C43—82no—
615D4×C43—82no—
616D4×C43—82no—
617D4×C43—82no—
618D4×C43—82no—
619D4×C43—82no—
620C2×C4×C43—21no—
621C2×C4×C43—21no—
622C2×C4×C43—21no—
623C2×C4×C43—21no—
624C2×C4×C43—21no—
625C2×C4×C43—21no—
626C2×C4×C43—21no—
627C2×C4×C43—21no—
628C2×C4×C43—21no—
629C2×C4×C43—21no—
630C2×C4×C43—21no—
631C2×C4×C43—21no—
632C2×C4×C43—21no—
633C2×C4×C43—21no—
634C2×C4×C43—21no—
635C2×C4×C43—21no—
636C2×C4×C43—21no—
637C2×C4×C43—21no—
638C2×C4×C43—21no—
639C2×C4×C43—21no—
640C2×C4×C43—21no—
641C2×C4×C43—21no—
642C2×C4×C43—21no—
643C2×C4×C43—21no—
644C2×C4×C43—21no—
645C2×C4×C43—21no—
646C2×C4×C43—21no—
647C2×C4×C43—21no—
648C2×C4×C43—21no—
649C2×C4×C43—21no—
650C2×C4×C43—21no—
651C2×C4×C43—21no—
652C2×C4×C43—21no—
653C2×C4×C43—21no—
654C2×C4×C43—21no—
655C2×C4×C43—21no—
656C2×C4×C43—21no—
657C2×C4×C43—21no—
658C2×C4×C43—21no—
659C2×C4×C43—21no—
660C2×C4×C43—21no—
661C2×C4×C43—21no—
662C2×C4×C43—21no—
663C2×C4×C43—21no—
664C2×C4×C43—21no—
665C2×C4×C43—21no—
666C2×C4×C43—21no—
667C2×C4×C43—21no—
668C2×C4×C43—21no—
669C2×C4×C43—21no—
670C2×C4×C43—21no—
671C2×C4×C43—21no—
672C2×C4×C43—21no—
673C2×C4×C43—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—44no—
694C2×C4×C43—44no—
695C2×C4×C43—44no—
696C2×C4×C43—44no—
697C2×C4×C43—44no—
698C2×C4×C43—44no—
699C2×C4×C43—44no—
700C2×C4×C43—82no—
701C2×C4×C43—82no—
702C2×C4×C43—82no—
703C2×C4×C43—82no—
704C2×C4×C43C2×#4112yes—
705C2×C4×C43H(5,𝔽2)12yes—
706#36839C4311yesmaximal, characteristic, direct product factor, Sylow
707C22×C43—22no—
708C22×C43—22no—
709C22×C43—22no—
710C22×C43—22no—
711C22×C43—22no—
712C22×C43—22no—
713C22×C43—22no—
714C22×C43—22no—
715C22×C43—22no—
716C22×C43—22no—
717C22×C43—22no—
718C22×C43—22no—
719C22×C43—416no—
720C22×C43—41no—
721C22×C43—41no—
722C22×C43—41no—
723C22×C43—41no—
724C22×C43—41no—
725C22×C43—41no—
726C22×C43—41no—
727C22×C43—41no—
728C22×C43—41no—
729C22×C43—41no—
730C22×C43—41no—
731C22×C43—41no—
732C22×C43—41no—
733C22×C43—41no—
734C22×C43—41no—
735C22×C43—41no—
736C22×C43—41no—
737C22×C43—41no—
738C22×C43—41no—
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×C43C22×#4111yescharacteristic
751C22×C43C2×H(5,𝔽2)11yescharacteristic
752C22×C43C2×H(5,𝔽2)11yescharacteristic
753C22×C43C2×H(5,𝔽2)11yescharacteristic
754C22×C43#58511yescharacteristic
755C22×C43#58511yescharacteristic
756C22×C43#58511yescharacteristic
757C4×C43—22no—
758C4×C43—22no—
759C4×C43—41no—
760C4×C43—41no—
761C4×C43—41no—
762C4×C43—41no—
763C4×C43—41no—
764C4×C43—41no—
765C4×C43—41no—
766C4×C43—41no—
767C4×C43—41no—
768C4×C43—41no—
769C4×C43—41no—
770C4×C43—41no—
771C4×C43—41no—
772C4×C43—41no—
773C4×C43—41no—
774C4×C43—41no—
775C4×C43—41no—
776C4×C43—41no—
777C4×C43—41no—
778C4×C43—41no—
779C4×C43—41no—
780C4×C43—41no—
781C4×C43—41no—
782#2849C2×C4311yescharacteristic, complemented
783#2849C2×C4311yescharacteristic, complemented
784#2782C2×C4311yescharacteristic, complemented
785#2780C2×C4311yescharacteristic, complemented
786#2771C2×C4311yescharacteristic, complemented
787#2757C2×C4311yescharacteristic, complemented
788#2750C2×C4311yescharacteristic, complemented
789#2749C2×C4311yescharacteristic, complemented
790#2743C2×C4311yescharacteristic, complemented
791#2735C2×C4311yescharacteristic, complemented
792#2724C2×C4311yescharacteristic, complemented
793#2708C2×C4311yescharacteristic, complemented
794#2706C2×C4311yescharacteristic, complemented
795#2703C2×C4311yescharacteristic, complemented
796#2688C2×C4311yescharacteristic, complemented
797#2678C2×C4311yescharacteristic, complemented
798#2678C2×C4311yescharacteristic, complemented
799#2668C2×C4311yescharacteristic, complemented
800#2652C2×C4311yescharacteristic, complemented
801#2648C2×C4311yescharacteristic, complemented
802#2516C2×C4311yescharacteristic, complemented
803#2515C2×C4311yescharacteristic, complemented
804#2471C2×C4311yescharacteristic, complemented
805#2470C2×C4311yescharacteristic, complemented
806#2456C2×C4311yescharacteristic, complemented
807#2455C2×C4311yescharacteristic, complemented
808#2444C2×C4311yescharacteristic, complemented
809#2419C2×C4311yescharacteristic, complemented
810#2325C2×C4311yescharacteristic, complemented
811#2324C2×C4311yescharacteristic, complemented
812C4×#120C2×C4311yescharacteristic, complemented
813C2×C43—42no—
814C2×C43—42no—
815C2×C43—42no—
816C2×C43—42no—
817C2×C43—81no—
818C2×C43—81no—
819C2×C43#345911yescharacteristic
820C2×C43#351311yescharacteristic
821C2×C43#351311yescharacteristic
822C2×C43#353211yescharacteristic
823C2×C43#353311yescharacteristic
824C2×C43#353311yescharacteristic
825C2×C43#353911yescharacteristic
826C24×C4C22×C4311yescharacteristic
827C2×#123C22×C4311yescharacteristic
828C2×#123C22×C4311yescharacteristic
829C2×#123C22×C4311yescharacteristic
830C2×#123C22×C4311yescharacteristic
831C2×#123C22×C4311yescharacteristic
832C2×#123C22×C4311yescharacteristic
833C2×#121C22×C4311yescharacteristic
834C2×#121C22×C4311yescharacteristic
835C2×#121C22×C4311yescharacteristic
836C2×#121C22×C4311yescharacteristic
837C2×#120C22×C4311yescharacteristic
838C2×#120C22×C4311yescharacteristic
839C2×#120C22×C4311yescharacteristic
840C2×C4×D4C22×C4311yescharacteristic
841C2×C4×D4C22×C4311yescharacteristic
842C2×C4×D4C22×C4311yescharacteristic
843C2×C4×D4C22×C4311yescharacteristic, complemented
844C2×#117C22×C4311yescharacteristic, complemented
845#400C22×C4311yescharacteristic, complemented
846#400C22×C4311yescharacteristic, complemented
847#400C22×C4311yescharacteristic, complemented
848#400C22×C4311yescharacteristic, complemented
849#400C22×C4311yescharacteristic, complemented
850#400C22×C4311yescharacteristic, complemented
851#400C22×C4311yescharacteristic, complemented
852#400C22×C4311yescharacteristic, complemented
853#400C22×C4311yescharacteristic, complemented
854#399C22×C4311yescharacteristic
855#399C22×C4311yescharacteristic
856#399C22×C4311yescharacteristic, complemented
857#398C22×C4311yescharacteristic, complemented
858#398C22×C4311yescharacteristic, complemented
859#398C22×C4311yescharacteristic, complemented
860#397C22×C4311yescharacteristic
861#397C22×C4311yescharacteristic
862#397C22×C4311yescharacteristic
863#397C22×C4311yescharacteristic
864#397C22×C4311yescharacteristic
865#397C22×C4311yescharacteristic
866#397C22×C4311yescharacteristic
867#397C22×C4311yescharacteristic, complemented
868#397C22×C4311yescharacteristic, complemented
869#397C22×C4311yescharacteristic, complemented
870#397C22×C4311yescharacteristic, complemented
871#397C22×C4311yescharacteristic, complemented
872#397C22×C4311yescharacteristic, complemented
873#396C22×C4311yescharacteristic
874#396C22×C4311yescharacteristic
875#396C22×C4311yescharacteristic
876#396C22×C4311yescharacteristic
877#396C22×C4311yescharacteristic, complemented
878#396C22×C4311yescharacteristic, complemented
879#394C22×C4311yescharacteristic
880#394C22×C4311yescharacteristic
881#394C22×C4311yescharacteristic
882#394C22×C4311yescharacteristic
883#394C22×C4311yescharacteristic
884#394C22×C4311yescharacteristic
885#394C22×C4311yescharacteristic, complemented
886#394C22×C4311yescharacteristic, complemented
887#392C22×C4311yescharacteristic
888#392C22×C4311yescharacteristic
889#392C22×C4311yescharacteristic
890#392C22×C4311yescharacteristic
891#392C22×C4311yescharacteristic
892#392C22×C4311yescharacteristic, complemented
893#390C22×C4311yescharacteristic
894#390C22×C4311yescharacteristic
895#390C22×C4311yescharacteristic
896#390C22×C4311yescharacteristic
897#390C22×C4311yescharacteristic, complemented
898#390C22×C4311yescharacteristic, complemented
899#389C22×C4311yescharacteristic, complemented
900#389C22×C4311yescharacteristic, complemented
901#389C22×C4311yescharacteristic, complemented
902#389C22×C4311yescharacteristic, complemented
903#388C22×C4311yescharacteristic
904#388C22×C4311yescharacteristic
905#388C22×C4311yescharacteristic
906#388C22×C4311yescharacteristic
907#388C22×C4311yescharacteristic
908#388C22×C4311yescharacteristic
909#388C22×C4311yescharacteristic
910#388C22×C4311yescharacteristic
911#388C22×C4311yescharacteristic, complemented
912#388C22×C4311yescharacteristic, complemented
913#388C22×C4311yescharacteristic, complemented
914#388C22×C4311yescharacteristic, complemented
915#388C22×C4311yescharacteristic, complemented
916#388C22×C4311yescharacteristic, complemented
917#387C22×C4311yescharacteristic, complemented
918#387C22×C4311yescharacteristic, complemented
919#387C22×C4311yescharacteristic, complemented
920#387C22×C4311yescharacteristic, complemented
921#387C22×C4311yescharacteristic, complemented
922#387C22×C4311yescharacteristic, complemented
923#387C22×C4311yescharacteristic, complemented
924#387C22×C4311yescharacteristic, complemented
925#386C22×C4311yescharacteristic
926#386C22×C4311yescharacteristic
927#386C22×C4311yescharacteristic
928#386C22×C4311yescharacteristic
929#386C22×C4311yescharacteristic
930#386C22×C4311yescharacteristic
931#386C22×C4311yescharacteristic
932#386C22×C4311yescharacteristic
933#386C22×C4311yescharacteristic
934#386C22×C4311yescharacteristic
935#386C22×C4311yescharacteristic
936#386C22×C4311yescharacteristic
937#386C22×C4311yescharacteristic
938#386C22×C4311yescharacteristic
939#386C22×C4311yescharacteristic
940#386C22×C4311yescharacteristic
941#386C22×C4311yescharacteristic
942#386C22×C4311yescharacteristic, complemented
943#386C22×C4311yescharacteristic, complemented
944#386C22×C4311yescharacteristic, complemented
945#386C22×C4311yescharacteristic, complemented
946#385C22×C4311yescharacteristic
947#385C22×C4311yescharacteristic
948#385C22×C4311yescharacteristic
949#385C22×C4311yescharacteristic
950#385C22×C4311yescharacteristic
951#385C22×C4311yescharacteristic
952#385C22×C4311yescharacteristic
953#385C22×C4311yescharacteristic
954#385C22×C4311yescharacteristic
955#385C22×C4311yescharacteristic
956#385C22×C4311yescharacteristic
957#385C22×C4311yescharacteristic, complemented
958#385C22×C4311yescharacteristic, complemented
959#385C22×C4311yescharacteristic, complemented
960#385C22×C4311yescharacteristic, complemented
961#385C22×C4311yescharacteristic, complemented
962#385C22×C4311yescharacteristic, complemented
963#383C22×C4311yescharacteristic, complemented
964#382C22×C4311yescharacteristic, complemented
965#381C22×C4311yescharacteristic
966#381C22×C4311yescharacteristic
967#381C22×C4311yescharacteristic
968#381C22×C4311yescharacteristic
969#381C22×C4311yescharacteristic, complemented
970#380C22×C4311yescharacteristic, complemented
971#380C22×C4311yescharacteristic, complemented
972#380C22×C4311yescharacteristic, complemented
973#379C22×C4311yescharacteristic
974#379C22×C4311yescharacteristic
975#379C22×C4311yescharacteristic
976C4×C4⋊C4C22×C4311yescharacteristic, complemented
977C4×C22⋊C4C22×C4311yescharacteristic
978C4×C22⋊C4C22×C4311yescharacteristic
979C4×C22⋊C4C22×C4311yescharacteristic
980C2×#95C22×C4311yescharacteristic, complemented
981C43#3683911yescharacteristic, direct product factor, Sylow
982C25C23×C4311yescharacteristic
983C22×D4C23×C4311yescharacteristic
984C22×D4C23×C4311yescharacteristic
985C22×D4C23×C4311yescharacteristic
986C22×D4C23×C4311yescharacteristic
987C22×D4C23×C4311yescharacteristic
988C22×D4C23×C4311yescharacteristic
989C22×D4C23×C4311yescharacteristic
990C22×D4C23×C4311yescharacteristic
991C22×D4C23×C4311yescharacteristic
992C22×D4C23×C4311yescharacteristic
993C22×D4C23×C4311yescharacteristic
994C22×D4C23×C4311yescharacteristic
995C23×C4—42no—
996C23×C4—42no—
997C23×C4—42no—
998C23×C4C23×C4311yescharacteristic
999C23×C4C23×C4311yescharacteristic
1000C23×C4C23×C4311yescharacteristic
1001C23×C4C23×C4311yescharacteristic
1002C23×C4C23×C4311yescharacteristic
1003C23×C4C23×C4311yescharacteristic
1004C23×C4C23×C4311yescharacteristic
1005C23×C4C23×C4311yescharacteristic
1006C23×C4C23×C4311yescharacteristic
1007C23×C4C23×C4311yescharacteristic
1008C23×C4C23×C4311yescharacteristic
1009#123—42no—
1010#123—42no—
1011#123—42no—
1012#123—42no—
1013#123—42no—
1014#123—42no—
1015#121—24no—
1016#121—24no—
1017#121—42no—
1018#121—42no—
1019#120—24no—
1020#120—42no—
1021#120—42no—
1022C4×D4—42no—
1023C4×D4—42no—
1024C4×D4—42no—
1025C4×D4—42no—
1026#117—42no—
1027C2×C4⋊C4C23×C4311yescharacteristic
1028C2×C4⋊C4C23×C4311yescharacteristic
1029C2×C4⋊C4C23×C4311yescharacteristic
1030C2×C4⋊C4C23×C4311yescharacteristic
1031C2×C4⋊C4C23×C4311yescharacteristic
1032C2×C4⋊C4C23×C4311yescharacteristic
1033C2×C4⋊C4C23×C4311yescharacteristic
1034C2×C4⋊C4C23×C4311yescharacteristic
1035C2×C4⋊C4C23×C4311yescharacteristic
1036C2×C4⋊C4C23×C4311yescharacteristic
1037C2×C4⋊C4C23×C4311yescharacteristic
1038C2×C4⋊C4C23×C4311yescharacteristic
1039C2×C4⋊C4C23×C4311yescharacteristic
1040C2×C4⋊C4C23×C4311yescharacteristic
1041C2×C4⋊C4C23×C4311yescharacteristic
1042C2×C4⋊C4C23×C4311yescharacteristic
1043C2×C4⋊C4C23×C4311yescharacteristic
1044C2×C4⋊C4C23×C4311yescharacteristic
1045C2×C4⋊C4C23×C4311yescharacteristic
1046C2×C4⋊C4C23×C4311yescharacteristic
1047C2×C4⋊C4C23×C4311yescharacteristic
1048C2×C4⋊C4C23×C4311yescharacteristic
1049C2×C4⋊C4C23×C4311yescharacteristic
1050C2×C4⋊C4C23×C4311yescharacteristic
1051C2×C4⋊C4C23×C4311yescharacteristic
1052C2×C4⋊C4C23×C4311yescharacteristic
1053C2×C4⋊C4C23×C4311yescharacteristic
1054C2×C4⋊C4C23×C4311yescharacteristic
1055C2×C22⋊C4C23×C4311yescharacteristic
1056C2×C22⋊C4C23×C4311yescharacteristic
1057C2×C22⋊C4C23×C4311yescharacteristic
1058C2×C22⋊C4C23×C4311yescharacteristic
1059C2×C22⋊C4C23×C4311yescharacteristic
1060C2×C22⋊C4C23×C4311yescharacteristic
1061C2×C22⋊C4C23×C4311yescharacteristic
1062C2×C22⋊C4C23×C4311yescharacteristic
1063C2×C22⋊C4C23×C4311yescharacteristic
1064C2×C22⋊C4C23×C4311yescharacteristic
1065C2×C22⋊C4C23×C4311yescharacteristic
1066C2×C22⋊C4C23×C4311yescharacteristic
1067C2×C22⋊C4C23×C4311yescharacteristic
1068C2×C22⋊C4C23×C4311yescharacteristic
1069C2×C22⋊C4C23×C4311yescharacteristic
1070C2×C22⋊C4C23×C4311yescharacteristic
1071C2×C22⋊C4C23×C4311yescharacteristic
1072C2×C22⋊C4C23×C4311yescharacteristic
1073C2×C22⋊C4C23×C4311yescharacteristic
1074C2×C22⋊C4C23×C4311yescharacteristic
1075C2×C22⋊C4C23×C4311yescharacteristic
1076C2×C22⋊C4C23×C4311yescharacteristic
1077C2×C22⋊C4C23×C4311yescharacteristic
1078C2×C22⋊C4C23×C4311yescharacteristic
1079C2×C22⋊C4C23×C4311yescharacteristic
1080C2×C22⋊C4C23×C4311yescharacteristic
1081C2×C22⋊C4C23×C4311yescharacteristic
1082C2×C22⋊C4C23×C4311yescharacteristic
1083C2×C22⋊C4C23×C4311yescharacteristic
1084C2×C22⋊C4C23×C4311yescharacteristic
1085C2×C22⋊C4C23×C4311yescharacteristic
1086C2×C22⋊C4C23×C4311yescharacteristic
1087C2×C22⋊C4C23×C4311yescharacteristic
1088C2×C22⋊C4C23×C4311yescharacteristic
1089C2×C22⋊C4C23×C4311yescharacteristic
1090C2×C22⋊C4C23×C4311yescharacteristic
1091C2×C22⋊C4C23×C4311yescharacteristic
1092C2×C22⋊C4C23×C4311yescharacteristic
1093C2×C22⋊C4C23×C4311yescharacteristic
1094C2×C22⋊C4C23×C4311yescharacteristic
1095C2×C22⋊C4C23×C4311yescharacteristic
1096C2×C22⋊C4C23×C4311yescharacteristic
1097C2×C22⋊C4C23×C4311yescharacteristic
1098C2×C22⋊C4C23×C4311yescharacteristic
1099C2×C22⋊C4C23×C4311yescharacteristic
1100C2×C22⋊C4C23×C4311yescharacteristic
1101C2×C22⋊C4C23×C4311yescharacteristic
1102C2×C22⋊C4C23×C4311yescharacteristic
1103C2×C22⋊C4C23×C4311yescharacteristic
1104C2×C22⋊C4C23×C4311yescharacteristic
1105C2×C22⋊C4C23×C4311yescharacteristic
1106C2×C22⋊C4C23×C4311yescharacteristic
1107C2×C42C23×C4311yescharacteristic
1108C2×C42C23×C4311yescharacteristic
1109C2×C42C23×C4311yescharacteristic
1110C2×C42C23×C4311yescharacteristic
1111C2×C42C23×C4311yescharacteristic
1112C2×C42C23×C4311yescharacteristic
1113C2×C42C23×C4311yescharacteristic
1114#95C23×C4311yescharacteristic
1115#95C23×C4311yescharacteristic
1116#95C23×C4311yescharacteristic
1117#95C23×C4311yescharacteristic
1118#95C23×C4311yescharacteristic
1119#95C23×C4311yescharacteristic
1120#95C23×C4311yescharacteristic
1121#95C23×C4311yescharacteristic
1122#95C23×C4311yescharacteristic
1123#95C23×C4311yescharacteristic
1124#95C23×C4311yescharacteristic
1125#95C23×C4311yescharacteristic
1126#95C23×C4311yescharacteristic
1127#95C23×C4311yescharacteristic
1128#95C23×C4311yescharacteristic
1129#95C23×C4311yescharacteristic
1130#95C23×C4311yescharacteristic
1131#95C23×C4311yescharacteristic
1132#95C23×C4311yescharacteristic
1133#95C23×C4311yescharacteristic
1134#95C23×C4311yescharacteristic
1135#95C23×C4311yescharacteristic
1136#95C23×C4311yescharacteristic
1137#95C23×C4311yescharacteristic
1138#95C23×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
1158C24—22no—
1159C24—22no—
1160C24—22no—
1161C24—41no—
1162C24—41no—
1163C24—41no—
1164C24—41no—
1165C24C24×C4311yescharacteristic
1166C24C24×C4311yescharacteristic
1167C24C24×C4311yescharacteristic
1168C24C24×C4311yescharacteristic
1169C24C24×C4311yescharacteristic
1170C24C24×C4311yescharacteristic
1171C2×D4—22no—
1172C2×D4—22no—
1173C2×D4—22no—
1174C2×D4—22no—
1175C2×D4—22no—
1176C2×D4—22no—
1177C2×D4—22no—
1178C2×D4—22no—
1179C2×D4—22no—
1180C2×D4—22no—
1181C2×D4—22no—
1182C2×D4—22no—
1183C2×D4—41no—
1184C2×D4—41no—
1185C2×D4—41no—
1186C2×D4—41no—
1187C2×D4—41no—
1188C2×D4—41no—
1189C2×D4—41no—
1190C2×D4—41no—
1191C2×D4—41no—
1192C2×D4—41no—
1193C2×D4—41no—
1194C2×D4—41no—
1195C2×D4—41no—
1196C2×D4—41no—
1197C2×D4—41no—
1198C2×D4—41no—
1199C2×D4—41no—
1200C2×D4—41no—
1201C2×D4—41no—
1202C2×D4—41no—
1203C2×D4—41no—
1204C2×D4—41no—
1205C2×D4—41no—
1206C2×D4#41×C4314yes—
1207C22×C4—22no—
1208C22×C4—22no—
1209C22×C4—22no—
1210C22×C4—22no—
1211C22×C4—22no—
1212C22×C4—22no—
1213C22×C4—22no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—41no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—41no—
1224C22×C4—41no—
1225C22×C4—41no—
1226C22×C4—41no—
1227C22×C4—41no—
1228C22×C4—41no—
1229C22×C4—41no—
1230C22×C4—41no—
1231C22×C4—41no—
1232C22×C4—41no—
1233C22×C4—41no—
1234C22×C4—41no—
1235C22×C4—41no—
1236C22×C4—41no—
1237C22×C4—41no—
1238C22×C4—41no—
1239C22×C4—41no—
1240C22×C4—416no—
1241C22×C4C24×C4311yescharacteristic
1242C22×C4C24×C4311yescharacteristic
1243C22×C4C24×C4311yescharacteristic
1244C22×C4C24×C4311yescharacteristic
1245C22×C4C24×C4311yescharacteristic
1246C22×C4C24×C4311yescharacteristic
1247C22×C4C24×C4311yescharacteristic
1248C22×C4C24×C4311yescharacteristic
1249C22×C4C24×C4311yescharacteristic
1250C22×C4C24×C4311yescharacteristic
1251C22×C4C24×C4311yescharacteristic
1252C22×C4C24×C4311yescharacteristic
1253C22×C4C24×C4311yescharacteristic
1254C22×C4C24×C4311yescharacteristic
1255C22×C4C24×C4311yescharacteristic
1256C22×C4C24×C4311yescharacteristic
1257C22×C4C24×C4311yescharacteristic
1258C22×C4C24×C4311yescharacteristic
1259C22×C4C24×C4311yescharacteristic
1260C22×C4C24×C4311yescharacteristic
1261C22×C4C24×C4311yescharacteristic
1262C22×C4C24×C4311yescharacteristic
1263C22×C4C24×C4311yescharacteristic
1264C22×C4C24×C4311yescharacteristic
1265C22×C4C24×C4311yescharacteristic
1266C4⋊C4—22no—
1267C4⋊C4—22no—
1268C4⋊C4—22no—
1269C4⋊C4—22no—
1270C4⋊C4—41no—
1271C4⋊C4—41no—
1272C4⋊C4—41no—
1273C4⋊C4—41no—
1274C4⋊C4—41no—
1275C4⋊C4—41no—
1276C4⋊C4—41no—
1277C4⋊C4—41no—
1278C4⋊C4—41no—
1279C4⋊C4—41no—
1280C4⋊C4—41no—
1281C4⋊C4—41no—
1282C4⋊C4—41no—
1283C4⋊C4—41no—
1284C4⋊C4—41no—
1285C4⋊C4—41no—
1286C4⋊C4—41no—
1287C4⋊C4—41no—
1288C4⋊C4—41no—
1289C4⋊C4—41no—
1290C4⋊C4—41no—
1291C4⋊C4—41no—
1292C4⋊C4—41no—
1293C4⋊C4—41no—
1294C22⋊C4—22no—
1295C22⋊C4—22no—
1296C22⋊C4—22no—
1297C22⋊C4—22no—
1298C22⋊C4—22no—
1299C22⋊C4—22no—
1300C22⋊C4—22no—
1301C22⋊C4—22no—
1302C22⋊C4—22no—
1303C22⋊C4—22no—
1304C22⋊C4—22no—
1305C22⋊C4—22no—
1306C22⋊C4—22no—
1307C22⋊C4—22no—
1308C22⋊C4—22no—
1309C22⋊C4—41no—
1310C22⋊C4—41no—
1311C22⋊C4—41no—
1312C22⋊C4—41no—
1313C22⋊C4—41no—
1314C22⋊C4—41no—
1315C22⋊C4—41no—
1316C22⋊C4—41no—
1317C22⋊C4—41no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—41no—
1326C22⋊C4—41no—
1327C22⋊C4—41no—
1328C22⋊C4—41no—
1329C22⋊C4—41no—
1330C22⋊C4—41no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C22⋊C4—41no—
1344C22⋊C4—41no—
1345C22⋊C4—41no—
1346C42—22no—
1347C42—41no—
1348C42—41no—
1349C42—41no—
1350C42—41no—
1351C42—41no—
1352C42—41no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—44no—
1392C23—44no—
1393C23—44no—
1394C23—44no—
1395C23—44no—
1396C23—44no—
1397C23—44no—
1398C23C2×#41×C4312yes—
1399C23C2×#41×C4312yes—
1400C23H(5,𝔽2)×C4312yes—
1401C23H(5,𝔽2)×C4312yes—
1402C23C25×C4311yescharacteristic
1403D4—44no—
1404D4—44no—
1405D4—44no—
1406D4—44no—
1407D4—82no—
1408D4—82no—
1409D4—82no—
1410D4—82no—
1411D4—82no—
1412D4—82no—
1413D4—82no—
1414D4—82no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—44no—
1489C2×C4—44no—
1490C2×C4—44no—
1491C2×C4—44no—
1492C2×C4—44no—
1493C2×C4—44no—
1494C2×C4—44no—
1495C2×C4—82no—
1496C2×C4—82no—
1497C2×C4—82no—
1498C2×C4—82no—
1499C2×C4C2×#41×C4312yes—
1500C2×C4H(5,𝔽2)×C4312yes—
1501C22—22no—
1502C22—22no—
1503C22—22no—
1504C22—22no—
1505C22—22no—
1506C22—22no—
1507C22—22no—
1508C22—22no—
1509C22—22no—
1510C22—22no—
1511C22—22no—
1512C22—22no—
1513C22—416no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—41no—
1531C22—41no—
1532C22—41no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22C22×#41×C4311yescharacteristic
1545C22C2×H(5,𝔽2)×C4311yescharacteristic
1546C22C2×H(5,𝔽2)×C4311yescharacteristic
1547C22C2×H(5,𝔽2)×C4311yescharacteristic
1548C22C43×#58511yescharacteristic
1549C22C43×#58511yescharacteristic
1550C22C43×#58511yescharacteristic
1551C4—22no—
1552C4—22no—
1553C4—41no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—41no—
1562C4—41no—
1563C4—41no—
1564C4—41no—
1565C4—41no—
1566C4—41no—
1567C4—41no—
1568C4—41no—
1569C4—41no—
1570C4—41no—
1571C4—41no—
1572C4—41no—
1573C4—41no—
1574C4—41no—
1575C4—41no—
1576C2—42no—
1577C2—42no—
1578C2—42no—
1579C2—42no—
1580C2—81no—
1581C2—81no—
1582C2C43×#345911yescharacteristic
1583C2C43×#351311yescharacteristic
1584C2C43×#351311yescharacteristic
1585C2C43×#353211yescharacteristic
1586C2C43×#353311yescharacteristic
1587C2C43×#353311yescharacteristic
1588C2C43×#353911yescharacteristic
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×#2849C2semidirect
3. C43×#2782C2semidirect
4. C43×#2780C2semidirect
5. C43×#2771C2semidirect
6. C43×#2757C2semidirect
7. C43×#2750C2semidirect
8. C43×#2749C2semidirect
9. C43×#2743C2semidirect
10. C43×#2735C2semidirect
11. C43×#2724C2semidirect
12. C43×#2708C2semidirect
13. C43×#2706C2semidirect
14. C43×#2703C2semidirect
15. C43×#2688C2semidirect
16. C43×#2678C2semidirect
17. C43×#2678C2semidirect
18. C43×#2668C2semidirect
19. C43×#2652C2semidirect
20. C43×#2648C2semidirect
21. C43×#2516C2semidirect
22. C43×#2515C2semidirect
23. C43×#2471C2semidirect
24. C43×#2470C2semidirect
25. C43×#2456C2semidirect
26. C43×#2455C2semidirect
27. C43×#2444C2semidirect
28. C43×#2419C2semidirect
29. C43×#2325C2semidirect
30. C43×#2324C2semidirect
31. C4×#120×C43C2semidirect
49. C2×C4×D4×C43C22semidirect
50. C2×#117×C43C22semidirect
51. C43×#400C22semidirect
52. C43×#400C22semidirect
53. C43×#400C22semidirect
54. C43×#400C22semidirect
55. C43×#400C22semidirect
56. C43×#400C22semidirect
57. C43×#400C22semidirect
58. C43×#400C22semidirect
59. C43×#400C22semidirect
62. C43×#399C22semidirect
63. C43×#398C22semidirect
64. C43×#398C22semidirect
65. C43×#398C22semidirect
73. C43×#397C22semidirect
74. C43×#397C22semidirect
75. C43×#397C22semidirect
76. C43×#397C22semidirect
77. C43×#397C22semidirect
78. C43×#397C22semidirect
83. C43×#396C22semidirect
84. C43×#396C22semidirect
91. C43×#394C22semidirect
92. C43×#394C22semidirect
98. C43×#392C22semidirect
103. C43×#390C22semidirect
104. C43×#390C22semidirect
105. C43×#389C22semidirect
106. C43×#389C22semidirect
107. C43×#389C22semidirect
108. C43×#389C22semidirect
117. C43×#388C22semidirect
118. C43×#388C22semidirect
119. C43×#388C22semidirect
120. C43×#388C22semidirect
121. C43×#388C22semidirect
122. C43×#388C22semidirect
123. C43×#387C22semidirect
124. C43×#387C22semidirect
125. C43×#387C22semidirect
126. C43×#387C22semidirect
127. C43×#387C22semidirect
128. C43×#387C22semidirect
129. C43×#387C22semidirect
130. C43×#387C22semidirect
148. C43×#386C22semidirect
149. C43×#386C22semidirect
150. C43×#386C22semidirect
151. C43×#386C22semidirect
163. C43×#385C22semidirect
164. C43×#385C22semidirect
165. C43×#385C22semidirect
166. C43×#385C22semidirect
167. C43×#385C22semidirect
168. C43×#385C22semidirect
169. C43×#383C22semidirect
170. C43×#382C22semidirect
175. C43×#381C22semidirect
176. C43×#380C22semidirect
177. C43×#380C22semidirect
178. C43×#380C22semidirect
182. C4×C4⋊C4×C43C22semidirect
186. C2×#95×C43C22semidirect
706. #36839C43direct (N × H)
782. #2849C2×C43semidirect
783. #2849C2×C43semidirect
784. #2782C2×C43semidirect
785. #2780C2×C43semidirect
786. #2771C2×C43semidirect
787. #2757C2×C43semidirect
788. #2750C2×C43semidirect
789. #2749C2×C43semidirect
790. #2743C2×C43semidirect
791. #2735C2×C43semidirect
792. #2724C2×C43semidirect
793. #2708C2×C43semidirect
794. #2706C2×C43semidirect
795. #2703C2×C43semidirect
796. #2688C2×C43semidirect
797. #2678C2×C43semidirect
798. #2678C2×C43semidirect
799. #2668C2×C43semidirect
800. #2652C2×C43semidirect
801. #2648C2×C43semidirect
802. #2516C2×C43semidirect
803. #2515C2×C43semidirect
804. #2471C2×C43semidirect
805. #2470C2×C43semidirect
806. #2456C2×C43semidirect
807. #2455C2×C43semidirect
808. #2444C2×C43semidirect
809. #2419C2×C43semidirect
810. #2325C2×C43semidirect
811. #2324C2×C43semidirect
812. C4×#120C2×C43semidirect
843. C2×C4×D4C22×C43semidirect
844. C2×#117C22×C43semidirect
845. #400C22×C43semidirect
846. #400C22×C43semidirect
847. #400C22×C43semidirect
848. #400C22×C43semidirect
849. #400C22×C43semidirect
850. #400C22×C43semidirect
851. #400C22×C43semidirect
852. #400C22×C43semidirect
853. #400C22×C43semidirect
856. #399C22×C43semidirect
857. #398C22×C43semidirect
858. #398C22×C43semidirect
859. #398C22×C43semidirect
867. #397C22×C43semidirect
868. #397C22×C43semidirect
869. #397C22×C43semidirect
870. #397C22×C43semidirect
871. #397C22×C43semidirect
872. #397C22×C43semidirect
877. #396C22×C43semidirect
878. #396C22×C43semidirect
885. #394C22×C43semidirect
886. #394C22×C43semidirect
892. #392C22×C43semidirect
897. #390C22×C43semidirect
898. #390C22×C43semidirect
899. #389C22×C43semidirect
900. #389C22×C43semidirect
901. #389C22×C43semidirect
902. #389C22×C43semidirect
911. #388C22×C43semidirect
912. #388C22×C43semidirect
913. #388C22×C43semidirect
914. #388C22×C43semidirect
915. #388C22×C43semidirect
916. #388C22×C43semidirect
917. #387C22×C43semidirect
918. #387C22×C43semidirect
919. #387C22×C43semidirect
920. #387C22×C43semidirect
921. #387C22×C43semidirect
922. #387C22×C43semidirect
923. #387C22×C43semidirect
924. #387C22×C43semidirect
942. #386C22×C43semidirect
943. #386C22×C43semidirect
944. #386C22×C43semidirect
945. #386C22×C43semidirect
957. #385C22×C43semidirect
958. #385C22×C43semidirect
959. #385C22×C43semidirect
960. #385C22×C43semidirect
961. #385C22×C43semidirect
962. #385C22×C43semidirect
963. #383C22×C43semidirect
964. #382C22×C43semidirect
969. #381C22×C43semidirect
970. #380C22×C43semidirect
971. #380C22×C43semidirect
972. #380C22×C43semidirect
976. C4×C4⋊C4C22×C43semidirect
980. C2×#95C22×C43semidirect
981. C43#36839direct (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×#27822
C43×#27802
C43×#27712
C43×#27572
C43×#27502
C43×#27492
C43×#27432
C43×#27352
C43×#27242
C43×#27082
C43×#27062
C43×#27032
C43×#26882
C43×#26782
C43×#26682
C43×#26522
C43×#26482
C43×#25162
C43×#25152
C43×#24712
C43×#24702
C43×#24562
C43×#24552
C43×#24442
C43×#24192
C43×#23252
C43×#23242
C4×#120×C432
#3683943