Finite Group Databasebeta

← C43×#36847 #24956864

Subgroups — C43×#36847 #24956864

Order 11008.

1844 conjugacy classes of subgroups.

The subgroup lattice has 1576 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C43×#2854C211yesmaximal, characteristic, complemented
2C43×#2852C211yesmaximal, characteristic, complemented
3C43×#2797C211yesmaximal, characteristic, complemented
4C43×#2790C211yesmaximal, characteristic, complemented
5C43×#2757C211yesmaximal, characteristic, complemented
6C43×#2752C211yesmaximal, characteristic, complemented
7C43×#2749C211yesmaximal, characteristic, complemented
8C43×#2749C211yesmaximal, characteristic, complemented
9C43×#2747C211yesmaximal, characteristic, complemented
10C43×#2738C211yesmaximal, characteristic, complemented
11C43×#2718C211yesmaximal, characteristic, complemented
12C43×#2714C211yesmaximal, characteristic, complemented
13C43×#2703C211yesmaximal, characteristic, complemented
14C43×#2703C211yesmaximal, characteristic, complemented
15C43×#2688C211yesmaximal, characteristic, complemented
16C43×#2688C211yesmaximal, characteristic, complemented
17C43×#2675C211yesmaximal, characteristic, complemented
18C43×#2671C211yesmaximal, characteristic, complemented
19C43×#2661C211yesmaximal, characteristic, complemented
20C43×#2652C211yesmaximal, characteristic, complemented
21C43×#2595C211yesmaximal, characteristic, complemented
22C43×#2573C211yesmaximal, characteristic, complemented
23C43×#2464C211yesmaximal, characteristic, complemented
24C43×#2456C211yesmaximal, characteristic, complemented
25C43×#2456C211yesmaximal, characteristic, complemented
26C43×#2443C211yesmaximal, characteristic, complemented
27C43×#2443C211yesmaximal, characteristic, complemented
28C43×#2422C211yesmaximal, characteristic, complemented
29C43×#2333C211yesmaximal, characteristic, complemented
30C43×#2322C211yesmaximal, characteristic, complemented
31C4×#121×C43C211yesmaximal, characteristic, complemented
32C2×#126×C43C2211yescharacteristic
33C2×#123×C43C2211yescharacteristic
34C2×#123×C43C2211yescharacteristic
35C2×#123×C43C2211yescharacteristic
36C2×#123×C43C2211yescharacteristic
37C2×#123×C43C2211yescharacteristic
38C2×#121×C43C2211yescharacteristic
39C2×#121×C43C2211yescharacteristic
40C2×#121×C43C2211yescharacteristic
41C2×#121×C43C2211yescharacteristic
42C2×#121×C43C2211yescharacteristic
43C2×#121×C43C2211yescharacteristic
44C2×#121×C43C2211yescharacteristic
45C2×#121×C43C2211yescharacteristic
46C2×#121×C43C2211yescharacteristic
47C2×C4×D4×C43C2211yescharacteristic
48C2×C4×D4×C43C2211yescharacteristic
49C2×C4×D4×C43C2211yescharacteristic
50C2×C4×D4×C43C2211yescharacteristic
51C22×C4⋊C4×C43C2211yescharacteristic
52C22×C42×C43C2211yescharacteristic
53C43×#400C2211yescharacteristic
54C43×#400C2211yescharacteristic
55C43×#400C2211yescharacteristic
56C43×#400C2211yescharacteristic
57C43×#400C2211yescharacteristic
58C43×#400C2211yescharacteristic
59C43×#399C2211yescharacteristic
60C43×#399C2211yescharacteristic
61C43×#398C2211yescharacteristic
62C43×#398C2211yescharacteristic
63C43×#398C2211yescharacteristic
64C43×#398C2211yescharacteristic
65C43×#398C2211yescharacteristic
66C43×#397C2211yescharacteristic
67C43×#397C2211yescharacteristic
68C43×#397C2211yescharacteristic
69C43×#397C2211yescharacteristic
70C43×#397C2211yescharacteristic
71C43×#397C2211yescharacteristic
72C43×#397C2211yescharacteristic
73C43×#397C2211yescharacteristic
74C43×#397C2211yescharacteristic
75C43×#397C2211yescharacteristic
76C43×#397C2211yescharacteristic
77C43×#396C2211yescharacteristic
78C43×#396C2211yescharacteristic
79C43×#396C2211yescharacteristic
80C43×#396C2211yescharacteristic
81C43×#394C2211yescharacteristic
82C43×#394C2211yescharacteristic
83C43×#394C2211yescharacteristic
84C43×#394C2211yescharacteristic
85C43×#394C2211yescharacteristic
86C43×#394C2211yescharacteristic
87C43×#394C2211yescharacteristic
88C43×#394C2211yescharacteristic
89C43×#394C2211yescharacteristic
90C43×#392C2211yescharacteristic
91C43×#392C2211yescharacteristic
92C43×#392C2211yescharacteristic
93C43×#392C2211yescharacteristic
94C43×#392C2211yescharacteristic
95C43×#392C2211yescharacteristic
96C43×#392C2211yescharacteristic
97C43×#392C2211yescharacteristic
98C43×#392C2211yescharacteristic
99C43×#392C2211yescharacteristic
100C43×#392C2211yescharacteristic
101C43×#390C2211yescharacteristic
102C43×#390C2211yescharacteristic
103C43×#390C2211yescharacteristic
104C43×#390C2211yescharacteristic
105C43×#390C2211yescharacteristic
106C43×#390C2211yescharacteristic
107C43×#390C2211yescharacteristic
108C43×#390C2211yescharacteristic
109C43×#389C2211yescharacteristic
110C43×#389C2211yescharacteristic
111C43×#389C2211yescharacteristic
112C43×#389C2211yescharacteristic
113C43×#388C2211yescharacteristic
114C43×#388C2211yescharacteristic
115C43×#388C2211yescharacteristic
116C43×#388C2211yescharacteristic
117C43×#388C2211yescharacteristic
118C43×#388C2211yescharacteristic
119C43×#388C2211yescharacteristic
120C43×#388C2211yescharacteristic
121C43×#388C2211yescharacteristic
122C43×#388C2211yescharacteristic
123C43×#388C2211yescharacteristic
124C43×#388C2211yescharacteristic
125C43×#388C2211yescharacteristic
126C43×#388C2211yescharacteristic
127C43×#388C2211yescharacteristic
128C43×#388C2211yescharacteristic
129C43×#388C2211yescharacteristic
130C43×#387C2211yescharacteristic
131C43×#387C2211yescharacteristic
132C43×#387C2211yescharacteristic
133C43×#387C2211yescharacteristic
134C43×#387C2211yescharacteristic
135C43×#387C2211yescharacteristic
136C43×#387C2211yescharacteristic
137C43×#387C2211yescharacteristic
138C43×#387C2211yescharacteristic
139C43×#387C2211yescharacteristic
140C43×#387C2211yescharacteristic
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
154C43×#386C2211yescharacteristic
155C43×#386C2211yescharacteristic
156C43×#386C2211yescharacteristic
157C43×#386C2211yescharacteristic
158C43×#386C2211yescharacteristic
159C43×#386C2211yescharacteristic
160C43×#385C2211yescharacteristic
161C43×#385C2211yescharacteristic
162C43×#385C2211yescharacteristic
163C43×#385C2211yescharacteristic
164C43×#385C2211yescharacteristic
165C43×#385C2211yescharacteristic
166C43×#385C2211yescharacteristic
167C43×#385C2211yescharacteristic
168C43×#385C2211yescharacteristic
169C43×#385C2211yescharacteristic
170C43×#385C2211yescharacteristic
171C43×#385C2211yescharacteristic
172C43×#385C2211yescharacteristic
173C43×#384C2211yescharacteristic
174C43×#383C2211yescharacteristic
175C43×#383C2211yescharacteristic
176C43×#381C2211yescharacteristic
177C43×#381C2211yescharacteristic
178C43×#381C2211yescharacteristic
179C43×#380C2211yescharacteristic
180C43×#380C2211yescharacteristic
181C43×#380C2211yescharacteristic
182C4×C4⋊C4×C43C2211yescharacteristic
183C4×C22⋊C4×C43C2211yescharacteristic
184C4×C22⋊C4×C43C2211yescharacteristic
185C4×C22⋊C4×C43C2211yescharacteristic
186C4×C22⋊C4×C43C2211yescharacteristic
187C22×D4×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
202C23×C4×C43C2311yescharacteristic
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
212#126×C43—42no—
213#123×C43—24no—
214#123×C43—42no—
215#123×C43—42no—
216#123×C43—42no—
217#123×C43—42no—
218#121×C43—24no—
219#121×C43—24no—
220#121×C43—42no—
221#121×C43—42no—
222#121×C43—42no—
223#121×C43—42no—
224#121×C43—42no—
225#121×C43—42no—
226#121×C43—42no—
227C4×D4×C43—42no—
228C4×D4×C43—42no—
229C4×D4×C43—42no—
230C4×D4×C43—42no—
231C2×C4⋊C4×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×C4⋊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×C42×C43—42no—
312C2×C42×C43C2311yescharacteristic
313C2×C42×C43C2311yescharacteristic
314C2×C42×C43C2311yescharacteristic
315C2×C42×C43C2311yescharacteristic
316C2×C42×C43C2311yescharacteristic
317C2×C42×C43C2311yescharacteristic
318C2×C42×C43C2311yescharacteristic
319C2×C42×C43C2311yescharacteristic
320C2×C42×C43C2311yescharacteristic
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×C43C2411yescharacteristic
364C24×C43C2411yescharacteristic
365C24×C43C2411yescharacteristic
366C24×C43C2411yescharacteristic
367C24×C43C2411yescharacteristic
368C24×C43C2411yescharacteristic
369C2×D4×C43—22no—
370C2×D4×C43—22no—
371C2×D4×C43—22no—
372C2×D4×C43—22no—
373C2×D4×C43—22no—
374C2×D4×C43—22no—
375C2×D4×C43—22no—
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—41no—
383C2×D4×C43—41no—
384C2×D4×C43—41no—
385C2×D4×C43—41no—
386C2×D4×C43—41no—
387C2×D4×C43—41no—
388C2×D4×C43—41no—
389C2×D4×C43—41no—
390C2×D4×C43—41no—
391C2×D4×C43—41no—
392C2×D4×C43—41no—
393C2×D4×C43—41no—
394C2×D4×C43—41no—
395C2×D4×C43—41no—
396C2×D4×C43—41no—
397C2×D4×C43—41no—
398C2×D4×C43—41no—
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—
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×C43C2411yescharacteristic
445C22×C4×C43C2411yescharacteristic
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
469C4⋊C4×C43—22no—
470C4⋊C4×C43—22no—
471C4⋊C4×C43—22no—
472C4⋊C4×C43—22no—
473C4⋊C4×C43—22no—
474C4⋊C4×C43—22no—
475C4⋊C4×C43—22no—
476C4⋊C4×C43—22no—
477C4⋊C4×C43—22no—
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—
498C22⋊C4×C43—22no—
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—41no—
512C22⋊C4×C43—41no—
513C22⋊C4×C43—41no—
514C22⋊C4×C43—41no—
515C22⋊C4×C43—41no—
516C22⋊C4×C43—41no—
517C22⋊C4×C43—41no—
518C22⋊C4×C43—41no—
519C22⋊C4×C43—41no—
520C22⋊C4×C43—41no—
521C22⋊C4×C43—41no—
522C22⋊C4×C43—41no—
523C22⋊C4×C43—41no—
524C22⋊C4×C43—41no—
525C22⋊C4×C43—41no—
526C22⋊C4×C43—41no—
527C22⋊C4×C43—41no—
528C22⋊C4×C43—41no—
529C22⋊C4×C43—41no—
530C22⋊C4×C43—41no—
531C22⋊C4×C43—41no—
532C22⋊C4×C43—41no—
533C22⋊C4×C43—41no—
534C22⋊C4×C43—41no—
535C22⋊C4×C43—41no—
536C22⋊C4×C43—41no—
537C22⋊C4×C43—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#4114yes—
548C42×C43—22no—
549C42×C43—22no—
550C42×C43—41no—
551C42×C43—41no—
552C42×C43—41no—
553C42×C43—41no—
554C42×C43—41no—
555C42×C43—41no—
556C42×C43—41no—
557C23×C43—21no—
558C23×C43—21no—
559C23×C43—21no—
560C23×C43—21no—
561C23×C43—21no—
562C23×C43—21no—
563C23×C43—21no—
564C23×C43—21no—
565C23×C43—21no—
566C23×C43—21no—
567C23×C43—21no—
568C23×C43—21no—
569C23×C43—21no—
570C23×C43—21no—
571C23×C43—21no—
572C23×C43—21no—
573C23×C43—21no—
574C23×C43—21no—
575C23×C43—21no—
576C23×C43—21no—
577C23×C43—21no—
578C23×C43—21no—
579C23×C43—21no—
580C23×C43—21no—
581C23×C43—21no—
582C23×C43—21no—
583C23×C43—21no—
584C23×C43—21no—
585C23×C43—21no—
586C23×C43—21no—
587C23×C43—21no—
588C23×C43—21no—
589C23×C43—21no—
590C23×C43—21no—
591C23×C43—21no—
592C23×C43—21no—
593C23×C43—21no—
594C23×C43—21no—
595C23×C43—21no—
596C23×C43—21no—
597C23×C43C2×#4112yes—
598C23×C43H(5,𝔽2)12yes—
599C23×C43C2511yescharacteristic
600D4×C43—44no—
601D4×C43—44no—
602D4×C43—44no—
603D4×C43—44no—
604D4×C43—82no—
605D4×C43—82no—
606D4×C43—82no—
607D4×C43—82no—
608D4×C43—82no—
609D4×C43—82no—
610D4×C43—82no—
611D4×C43—82no—
612D4×C43—82no—
613D4×C43—82no—
614D4×C43—82no—
615C2×C4×C43—21no—
616C2×C4×C43—21no—
617C2×C4×C43—21no—
618C2×C4×C43—21no—
619C2×C4×C43—21no—
620C2×C4×C43—21no—
621C2×C4×C43—21no—
622C2×C4×C43—21no—
623C2×C4×C43—21no—
624C2×C4×C43—21no—
625C2×C4×C43—21no—
626C2×C4×C43—21no—
627C2×C4×C43—21no—
628C2×C4×C43—21no—
629C2×C4×C43—21no—
630C2×C4×C43—21no—
631C2×C4×C43—21no—
632C2×C4×C43—21no—
633C2×C4×C43—21no—
634C2×C4×C43—21no—
635C2×C4×C43—21no—
636C2×C4×C43—21no—
637C2×C4×C43—21no—
638C2×C4×C43—21no—
639C2×C4×C43—21no—
640C2×C4×C43—21no—
641C2×C4×C43—21no—
642C2×C4×C43—21no—
643C2×C4×C43—21no—
644C2×C4×C43—21no—
645C2×C4×C43—21no—
646C2×C4×C43—21no—
647C2×C4×C43—21no—
648C2×C4×C43—21no—
649C2×C4×C43—21no—
650C2×C4×C43—21no—
651C2×C4×C43—21no—
652C2×C4×C43—21no—
653C2×C4×C43—21no—
654C2×C4×C43—21no—
655C2×C4×C43—21no—
656C2×C4×C43—21no—
657C2×C4×C43—21no—
658C2×C4×C43—21no—
659C2×C4×C43—21no—
660C2×C4×C43—21no—
661C2×C4×C43—21no—
662C2×C4×C43—21no—
663C2×C4×C43—21no—
664C2×C4×C43—21no—
665C2×C4×C43—21no—
666C2×C4×C43—21no—
667C2×C4×C43—21no—
668C2×C4×C43—21no—
669C2×C4×C43—21no—
670C2×C4×C43—21no—
671C2×C4×C43—21no—
672C2×C4×C43—21no—
673C2×C4×C43—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—44no—
687C2×C4×C43—44no—
688C2×C4×C43—44no—
689C2×C4×C43—44no—
690C2×C4×C43—82no—
691C2×C4×C43—82no—
692C2×C4×C43—82no—
693C2×C4×C43—82no—
694C2×C4×C43—82no—
695C2×C4×C43—82no—
696C2×C4×C43C2×#4112yes—
697C2×C4×C43C2×#4112yes—
698C2×C4×C43H(5,𝔽2)12yes—
699C2×C4×C43H(5,𝔽2)12yes—
700#36847C4311yesmaximal, characteristic, direct product factor, Sylow
701C22×C43—22no—
702C22×C43—22no—
703C22×C43—22no—
704C22×C43—22no—
705C22×C43—22no—
706C22×C43—22no—
707C22×C43—41no—
708C22×C43—41no—
709C22×C43—41no—
710C22×C43—41no—
711C22×C43—41no—
712C22×C43—41no—
713C22×C43—41no—
714C22×C43—41no—
715C22×C43—41no—
716C22×C43—41no—
717C22×C43—41no—
718C22×C43—41no—
719C22×C43—41no—
720C22×C43—41no—
721C22×C43—41no—
722C22×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×C43C22×#4111yescharacteristic
744C22×C43C2×H(5,𝔽2)11yescharacteristic
745C22×C43C2×H(5,𝔽2)11yescharacteristic
746C22×C43C2×H(5,𝔽2)11yescharacteristic
747C22×C43#58511yescharacteristic
748C22×C43#58511yescharacteristic
749C22×C43#58511yescharacteristic
750C4×C43—22no—
751C4×C43—22no—
752C4×C43—22no—
753C4×C43—22no—
754C4×C43—41no—
755C4×C43—41no—
756C4×C43—41no—
757C4×C43—41no—
758C4×C43—41no—
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—
775#2854C2×C4311yescharacteristic, complemented
776#2852C2×C4311yescharacteristic, complemented
777#2797C2×C4311yescharacteristic, complemented
778#2790C2×C4311yescharacteristic, complemented
779#2757C2×C4311yescharacteristic, complemented
780#2752C2×C4311yescharacteristic, complemented
781#2749C2×C4311yescharacteristic, complemented
782#2749C2×C4311yescharacteristic, complemented
783#2747C2×C4311yescharacteristic, complemented
784#2738C2×C4311yescharacteristic, complemented
785#2718C2×C4311yescharacteristic, complemented
786#2714C2×C4311yescharacteristic, complemented
787#2703C2×C4311yescharacteristic, complemented
788#2703C2×C4311yescharacteristic, complemented
789#2688C2×C4311yescharacteristic, complemented
790#2688C2×C4311yescharacteristic, complemented
791#2675C2×C4311yescharacteristic, complemented
792#2671C2×C4311yescharacteristic, complemented
793#2661C2×C4311yescharacteristic, complemented
794#2652C2×C4311yescharacteristic, complemented
795#2595C2×C4311yescharacteristic, complemented
796#2573C2×C4311yescharacteristic, complemented
797#2464C2×C4311yescharacteristic, complemented
798#2456C2×C4311yescharacteristic, complemented
799#2456C2×C4311yescharacteristic, complemented
800#2443C2×C4311yescharacteristic, complemented
801#2443C2×C4311yescharacteristic, complemented
802#2422C2×C4311yescharacteristic, complemented
803#2333C2×C4311yescharacteristic, complemented
804#2322C2×C4311yescharacteristic, complemented
805C4×#121C2×C4311yescharacteristic, complemented
806C2×C43—42no—
807C2×C43—42no—
808C2×C43—81no—
809C2×C43—81no—
810C2×C43—81no—
811C2×C43—81no—
812C2×C43#346011yescharacteristic
813C2×C43#351311yescharacteristic
814C2×C43#351311yescharacteristic
815C2×C43#353711yescharacteristic
816C2×C43#353911yescharacteristic
817C2×C43#356011yescharacteristic
818C2×C43#356211yescharacteristic
819C2×#126C22×C4311yescharacteristic
820C2×#123C22×C4311yescharacteristic
821C2×#123C22×C4311yescharacteristic
822C2×#123C22×C4311yescharacteristic
823C2×#123C22×C4311yescharacteristic
824C2×#123C22×C4311yescharacteristic
825C2×#121C22×C4311yescharacteristic
826C2×#121C22×C4311yescharacteristic
827C2×#121C22×C4311yescharacteristic
828C2×#121C22×C4311yescharacteristic
829C2×#121C22×C4311yescharacteristic
830C2×#121C22×C4311yescharacteristic
831C2×#121C22×C4311yescharacteristic
832C2×#121C22×C4311yescharacteristic
833C2×#121C22×C4311yescharacteristic
834C2×C4×D4C22×C4311yescharacteristic
835C2×C4×D4C22×C4311yescharacteristic
836C2×C4×D4C22×C4311yescharacteristic
837C2×C4×D4C22×C4311yescharacteristic
838C22×C4⋊C4C22×C4311yescharacteristic
839C22×C42C22×C4311yescharacteristic
840#400C22×C4311yescharacteristic
841#400C22×C4311yescharacteristic
842#400C22×C4311yescharacteristic
843#400C22×C4311yescharacteristic
844#400C22×C4311yescharacteristic
845#400C22×C4311yescharacteristic
846#399C22×C4311yescharacteristic
847#399C22×C4311yescharacteristic
848#398C22×C4311yescharacteristic
849#398C22×C4311yescharacteristic
850#398C22×C4311yescharacteristic
851#398C22×C4311yescharacteristic
852#398C22×C4311yescharacteristic
853#397C22×C4311yescharacteristic
854#397C22×C4311yescharacteristic
855#397C22×C4311yescharacteristic
856#397C22×C4311yescharacteristic
857#397C22×C4311yescharacteristic
858#397C22×C4311yescharacteristic
859#397C22×C4311yescharacteristic
860#397C22×C4311yescharacteristic
861#397C22×C4311yescharacteristic
862#397C22×C4311yescharacteristic
863#397C22×C4311yescharacteristic
864#396C22×C4311yescharacteristic
865#396C22×C4311yescharacteristic
866#396C22×C4311yescharacteristic
867#396C22×C4311yescharacteristic
868#394C22×C4311yescharacteristic
869#394C22×C4311yescharacteristic
870#394C22×C4311yescharacteristic
871#394C22×C4311yescharacteristic
872#394C22×C4311yescharacteristic
873#394C22×C4311yescharacteristic
874#394C22×C4311yescharacteristic
875#394C22×C4311yescharacteristic
876#394C22×C4311yescharacteristic
877#392C22×C4311yescharacteristic
878#392C22×C4311yescharacteristic
879#392C22×C4311yescharacteristic
880#392C22×C4311yescharacteristic
881#392C22×C4311yescharacteristic
882#392C22×C4311yescharacteristic
883#392C22×C4311yescharacteristic
884#392C22×C4311yescharacteristic
885#392C22×C4311yescharacteristic
886#392C22×C4311yescharacteristic
887#392C22×C4311yescharacteristic
888#390C22×C4311yescharacteristic
889#390C22×C4311yescharacteristic
890#390C22×C4311yescharacteristic
891#390C22×C4311yescharacteristic
892#390C22×C4311yescharacteristic
893#390C22×C4311yescharacteristic
894#390C22×C4311yescharacteristic
895#390C22×C4311yescharacteristic
896#389C22×C4311yescharacteristic
897#389C22×C4311yescharacteristic
898#389C22×C4311yescharacteristic
899#389C22×C4311yescharacteristic
900#388C22×C4311yescharacteristic
901#388C22×C4311yescharacteristic
902#388C22×C4311yescharacteristic
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
912#388C22×C4311yescharacteristic
913#388C22×C4311yescharacteristic
914#388C22×C4311yescharacteristic
915#388C22×C4311yescharacteristic
916#388C22×C4311yescharacteristic
917#387C22×C4311yescharacteristic
918#387C22×C4311yescharacteristic
919#387C22×C4311yescharacteristic
920#387C22×C4311yescharacteristic
921#387C22×C4311yescharacteristic
922#387C22×C4311yescharacteristic
923#387C22×C4311yescharacteristic
924#387C22×C4311yescharacteristic
925#387C22×C4311yescharacteristic
926#387C22×C4311yescharacteristic
927#387C22×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
943#386C22×C4311yescharacteristic
944#386C22×C4311yescharacteristic
945#386C22×C4311yescharacteristic
946#386C22×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
958#385C22×C4311yescharacteristic
959#385C22×C4311yescharacteristic
960#384C22×C4311yescharacteristic
961#383C22×C4311yescharacteristic
962#383C22×C4311yescharacteristic
963#381C22×C4311yescharacteristic
964#381C22×C4311yescharacteristic
965#381C22×C4311yescharacteristic
966#380C22×C4311yescharacteristic
967#380C22×C4311yescharacteristic
968#380C22×C4311yescharacteristic
969C4×C4⋊C4C22×C4311yescharacteristic
970C4×C22⋊C4C22×C4311yescharacteristic
971C4×C22⋊C4C22×C4311yescharacteristic
972C4×C22⋊C4C22×C4311yescharacteristic
973C4×C22⋊C4C22×C4311yescharacteristic
974C43#3684711yescharacteristic, direct product factor, Sylow
975C22×D4C23×C4311yescharacteristic
976C22×D4C23×C4311yescharacteristic
977C22×D4C23×C4311yescharacteristic
978C22×D4C23×C4311yescharacteristic
979C22×D4C23×C4311yescharacteristic
980C22×D4C23×C4311yescharacteristic
981C22×D4C23×C4311yescharacteristic
982C22×D4C23×C4311yescharacteristic
983C22×D4C23×C4311yescharacteristic
984C22×D4C23×C4311yescharacteristic
985C22×D4C23×C4311yescharacteristic
986C22×D4C23×C4311yescharacteristic
987C22×D4C23×C4311yescharacteristic
988C22×D4C23×C4311yescharacteristic
989C22×D4C23×C4311yescharacteristic
990C23×C4C23×C4311yescharacteristic
991C23×C4C23×C4311yescharacteristic
992C23×C4C23×C4311yescharacteristic
993C23×C4C23×C4311yescharacteristic
994C23×C4C23×C4311yescharacteristic
995C23×C4C23×C4311yescharacteristic
996C23×C4C23×C4311yescharacteristic
997C23×C4C23×C4311yescharacteristic
998C23×C4C23×C4311yescharacteristic
999C23×C4C23×C4311yescharacteristic
1000#126—42no—
1001#123—24no—
1002#123—42no—
1003#123—42no—
1004#123—42no—
1005#123—42no—
1006#121—24no—
1007#121—24no—
1008#121—42no—
1009#121—42no—
1010#121—42no—
1011#121—42no—
1012#121—42no—
1013#121—42no—
1014#121—42no—
1015C4×D4—42no—
1016C4×D4—42no—
1017C4×D4—42no—
1018C4×D4—42no—
1019C2×C4⋊C4—42no—
1020C2×C4⋊C4C23×C4311yescharacteristic
1021C2×C4⋊C4C23×C4311yescharacteristic
1022C2×C4⋊C4C23×C4311yescharacteristic
1023C2×C4⋊C4C23×C4311yescharacteristic
1024C2×C4⋊C4C23×C4311yescharacteristic
1025C2×C4⋊C4C23×C4311yescharacteristic
1026C2×C4⋊C4C23×C4311yescharacteristic
1027C2×C4⋊C4C23×C4311yescharacteristic
1028C2×C4⋊C4C23×C4311yescharacteristic
1029C2×C4⋊C4C23×C4311yescharacteristic
1030C2×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×C22⋊C4C23×C4311yescharacteristic
1050C2×C22⋊C4C23×C4311yescharacteristic
1051C2×C22⋊C4C23×C4311yescharacteristic
1052C2×C22⋊C4C23×C4311yescharacteristic
1053C2×C22⋊C4C23×C4311yescharacteristic
1054C2×C22⋊C4C23×C4311yescharacteristic
1055C2×C22⋊C4C23×C4311yescharacteristic
1056C2×C22⋊C4C23×C4311yescharacteristic
1057C2×C22⋊C4C23×C4311yescharacteristic
1058C2×C22⋊C4C23×C4311yescharacteristic
1059C2×C22⋊C4C23×C4311yescharacteristic
1060C2×C22⋊C4C23×C4311yescharacteristic
1061C2×C22⋊C4C23×C4311yescharacteristic
1062C2×C22⋊C4C23×C4311yescharacteristic
1063C2×C22⋊C4C23×C4311yescharacteristic
1064C2×C22⋊C4C23×C4311yescharacteristic
1065C2×C22⋊C4C23×C4311yescharacteristic
1066C2×C22⋊C4C23×C4311yescharacteristic
1067C2×C22⋊C4C23×C4311yescharacteristic
1068C2×C22⋊C4C23×C4311yescharacteristic
1069C2×C22⋊C4C23×C4311yescharacteristic
1070C2×C22⋊C4C23×C4311yescharacteristic
1071C2×C22⋊C4C23×C4311yescharacteristic
1072C2×C22⋊C4C23×C4311yescharacteristic
1073C2×C22⋊C4C23×C4311yescharacteristic
1074C2×C22⋊C4C23×C4311yescharacteristic
1075C2×C22⋊C4C23×C4311yescharacteristic
1076C2×C22⋊C4C23×C4311yescharacteristic
1077C2×C22⋊C4C23×C4311yescharacteristic
1078C2×C22⋊C4C23×C4311yescharacteristic
1079C2×C22⋊C4C23×C4311yescharacteristic
1080C2×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×C42—42no—
1100C2×C42C23×C4311yescharacteristic
1101C2×C42C23×C4311yescharacteristic
1102C2×C42C23×C4311yescharacteristic
1103C2×C42C23×C4311yescharacteristic
1104C2×C42C23×C4311yescharacteristic
1105C2×C42C23×C4311yescharacteristic
1106C2×C42C23×C4311yescharacteristic
1107C2×C42C23×C4311yescharacteristic
1108C2×C42C23×C4311yescharacteristic
1109#95C23×C4311yescharacteristic
1110#95C23×C4311yescharacteristic
1111#95C23×C4311yescharacteristic
1112#95C23×C4311yescharacteristic
1113#95C23×C4311yescharacteristic
1114#95C23×C4311yescharacteristic
1115#95C23×C4311yescharacteristic
1116#95C23×C4311yescharacteristic
1117#95C23×C4311yescharacteristic
1118#95C23×C4311yescharacteristic
1119#95C23×C4311yescharacteristic
1120#95C23×C4311yescharacteristic
1121#95C23×C4311yescharacteristic
1122#95C23×C4311yescharacteristic
1123#95C23×C4311yescharacteristic
1124#95C23×C4311yescharacteristic
1125#95C23×C4311yescharacteristic
1126#95C23×C4311yescharacteristic
1127#95C23×C4311yescharacteristic
1128#95C23×C4311yescharacteristic
1129#95C23×C4311yescharacteristic
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
1151C24C24×C4311yescharacteristic
1152C24C24×C4311yescharacteristic
1153C24C24×C4311yescharacteristic
1154C24C24×C4311yescharacteristic
1155C24C24×C4311yescharacteristic
1156C24C24×C4311yescharacteristic
1157C2×D4—22no—
1158C2×D4—22no—
1159C2×D4—22no—
1160C2×D4—22no—
1161C2×D4—22no—
1162C2×D4—22no—
1163C2×D4—22no—
1164C2×D4—22no—
1165C2×D4—22no—
1166C2×D4—22no—
1167C2×D4—22no—
1168C2×D4—22no—
1169C2×D4—22no—
1170C2×D4—41no—
1171C2×D4—41no—
1172C2×D4—41no—
1173C2×D4—41no—
1174C2×D4—41no—
1175C2×D4—41no—
1176C2×D4—41no—
1177C2×D4—41no—
1178C2×D4—41no—
1179C2×D4—41no—
1180C2×D4—41no—
1181C2×D4—41no—
1182C2×D4—41no—
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—
1202C22×C4—22no—
1203C22×C4—22no—
1204C22×C4—22no—
1205C22×C4—22no—
1206C22×C4—22no—
1207C22×C4—22no—
1208C22×C4—22no—
1209C22×C4—22no—
1210C22×C4—41no—
1211C22×C4—41no—
1212C22×C4—41no—
1213C22×C4—41no—
1214C22×C4—41no—
1215C22×C4—41no—
1216C22×C4—41no—
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×C4C24×C4311yescharacteristic
1233C22×C4C24×C4311yescharacteristic
1234C22×C4C24×C4311yescharacteristic
1235C22×C4C24×C4311yescharacteristic
1236C22×C4C24×C4311yescharacteristic
1237C22×C4C24×C4311yescharacteristic
1238C22×C4C24×C4311yescharacteristic
1239C22×C4C24×C4311yescharacteristic
1240C22×C4C24×C4311yescharacteristic
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
1257C4⋊C4—22no—
1258C4⋊C4—22no—
1259C4⋊C4—22no—
1260C4⋊C4—22no—
1261C4⋊C4—22no—
1262C4⋊C4—22no—
1263C4⋊C4—22no—
1264C4⋊C4—22no—
1265C4⋊C4—22no—
1266C4⋊C4—41no—
1267C4⋊C4—41no—
1268C4⋊C4—41no—
1269C4⋊C4—41no—
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—
1286C22⋊C4—22no—
1287C22⋊C4—22no—
1288C22⋊C4—22no—
1289C22⋊C4—22no—
1290C22⋊C4—22no—
1291C22⋊C4—22no—
1292C22⋊C4—22no—
1293C22⋊C4—22no—
1294C22⋊C4—22no—
1295C22⋊C4—22no—
1296C22⋊C4—22no—
1297C22⋊C4—22no—
1298C22⋊C4—22no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—41no—
1307C22⋊C4—41no—
1308C22⋊C4—41no—
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#41×C4314yes—
1336C42—22no—
1337C42—22no—
1338C42—41no—
1339C42—41no—
1340C42—41no—
1341C42—41no—
1342C42—41no—
1343C42—41no—
1344C42—41no—
1345C23—21no—
1346C23—21no—
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
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—
1385C23C2×#41×C4312yes—
1386C23H(5,𝔽2)×C4312yes—
1387C23C25×C4311yescharacteristic
1388D4—44no—
1389D4—44no—
1390D4—44no—
1391D4—44no—
1392D4—82no—
1393D4—82no—
1394D4—82no—
1395D4—82no—
1396D4—82no—
1397D4—82no—
1398D4—82no—
1399D4—82no—
1400D4—82no—
1401D4—82no—
1402D4—82no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—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—44no—
1475C2×C4—44no—
1476C2×C4—44no—
1477C2×C4—44no—
1478C2×C4—82no—
1479C2×C4—82no—
1480C2×C4—82no—
1481C2×C4—82no—
1482C2×C4—82no—
1483C2×C4—82no—
1484C2×C4C2×#41×C4312yes—
1485C2×C4C2×#41×C4312yes—
1486C2×C4H(5,𝔽2)×C4312yes—
1487C2×C4H(5,𝔽2)×C4312yes—
1488C22—22no—
1489C22—22no—
1490C22—22no—
1491C22—22no—
1492C22—22no—
1493C22—22no—
1494C22—41no—
1495C22—41no—
1496C22—41no—
1497C22—41no—
1498C22—41no—
1499C22—41no—
1500C22—41no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
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—
1530C22C22×#41×C4311yescharacteristic
1531C22C2×H(5,𝔽2)×C4311yescharacteristic
1532C22C2×H(5,𝔽2)×C4311yescharacteristic
1533C22C2×H(5,𝔽2)×C4311yescharacteristic
1534C22C43×#58511yescharacteristic
1535C22C43×#58511yescharacteristic
1536C22C43×#58511yescharacteristic
1537C4—22no—
1538C4—22no—
1539C4—22no—
1540C4—22no—
1541C4—41no—
1542C4—41no—
1543C4—41no—
1544C4—41no—
1545C4—41no—
1546C4—41no—
1547C4—41no—
1548C4—41no—
1549C4—41no—
1550C4—41no—
1551C4—41no—
1552C4—41no—
1553C4—41no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—41no—
1562C2—42no—
1563C2—42no—
1564C2—81no—
1565C2—81no—
1566C2—81no—
1567C2—81no—
1568C2C43×#346011yescharacteristic
1569C2C43×#351311yescharacteristic
1570C2C43×#351311yescharacteristic
1571C2C43×#353711yescharacteristic
1572C2C43×#353911yescharacteristic
1573C2C43×#356011yescharacteristic
1574C2C43×#356211yescharacteristic
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×#2854C2semidirect
2. C43×#2852C2semidirect
3. C43×#2797C2semidirect
4. C43×#2790C2semidirect
5. C43×#2757C2semidirect
6. C43×#2752C2semidirect
7. C43×#2749C2semidirect
8. C43×#2749C2semidirect
9. C43×#2747C2semidirect
10. C43×#2738C2semidirect
11. C43×#2718C2semidirect
12. C43×#2714C2semidirect
13. C43×#2703C2semidirect
14. C43×#2703C2semidirect
15. C43×#2688C2semidirect
16. C43×#2688C2semidirect
17. C43×#2675C2semidirect
18. C43×#2671C2semidirect
19. C43×#2661C2semidirect
20. C43×#2652C2semidirect
21. C43×#2595C2semidirect
22. C43×#2573C2semidirect
23. C43×#2464C2semidirect
24. C43×#2456C2semidirect
25. C43×#2456C2semidirect
26. C43×#2443C2semidirect
27. C43×#2443C2semidirect
28. C43×#2422C2semidirect
29. C43×#2333C2semidirect
30. C43×#2322C2semidirect
31. C4×#121×C43C2semidirect
700. #36847C43direct (N × H)
775. #2854C2×C43semidirect
776. #2852C2×C43semidirect
777. #2797C2×C43semidirect
778. #2790C2×C43semidirect
779. #2757C2×C43semidirect
780. #2752C2×C43semidirect
781. #2749C2×C43semidirect
782. #2749C2×C43semidirect
783. #2747C2×C43semidirect
784. #2738C2×C43semidirect
785. #2718C2×C43semidirect
786. #2714C2×C43semidirect
787. #2703C2×C43semidirect
788. #2703C2×C43semidirect
789. #2688C2×C43semidirect
790. #2688C2×C43semidirect
791. #2675C2×C43semidirect
792. #2671C2×C43semidirect
793. #2661C2×C43semidirect
794. #2652C2×C43semidirect
795. #2595C2×C43semidirect
796. #2573C2×C43semidirect
797. #2464C2×C43semidirect
798. #2456C2×C43semidirect
799. #2456C2×C43semidirect
800. #2443C2×C43semidirect
801. #2443C2×C43semidirect
802. #2422C2×C43semidirect
803. #2333C2×C43semidirect
804. #2322C2×C43semidirect
805. C4×#121C2×C43semidirect
974. C43#36847direct (N × H)

Maximal subgroups

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

subgroupindex
C43×#28542
C43×#28522
C43×#27972
C43×#27902
C43×#27572
C43×#27522
C43×#27492
C43×#27472
C43×#27382
C43×#27182
C43×#27142
C43×#27032
C43×#26882
C43×#26752
C43×#26712
C43×#26612
C43×#26522
C43×#25952
C43×#25732
C43×#24642
C43×#24562
C43×#24432
C43×#24222
C43×#23332
C43×#23222
C4×#121×C432
#3684743