Finite Group Databasebeta

← C43×#36845 #24956862

Subgroups — C43×#36845 #24956862

Order 11008.

1654 conjugacy classes of subgroups.

The subgroup lattice has 1446 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C43×#2853C211yesmaximal, characteristic, complemented
2C43×#2850C211yesmaximal, characteristic, complemented
3C43×#2798C211yesmaximal, characteristic, complemented
4C43×#2783C211yesmaximal, characteristic, complemented
5C43×#2762C211yesmaximal, characteristic, complemented
6C43×#2746C211yesmaximal, characteristic, complemented
7C43×#2743C211yesmaximal, characteristic, complemented
8C43×#2737C211yesmaximal, characteristic, complemented
9C43×#2729C211yesmaximal, characteristic, complemented
10C43×#2723C211yesmaximal, characteristic, complemented
11C43×#2712C211yesmaximal, characteristic, complemented
12C43×#2708C211yesmaximal, characteristic, complemented
13C43×#2700C211yesmaximal, characteristic, complemented
14C43×#2698C211yesmaximal, characteristic, complemented
15C43×#2696C211yesmaximal, characteristic, complemented
16C43×#2676C211yesmaximal, characteristic
17C43×#2674C211yesmaximal, characteristic, complemented
18C43×#2672C211yesmaximal, characteristic, complemented
19C43×#2653C211yesmaximal, characteristic, complemented
20C43×#2648C211yesmaximal, characteristic, complemented
21C43×#2595C211yesmaximal, characteristic, complemented
22C43×#2588C211yesmaximal, characteristic, complemented
23C43×#2574C211yesmaximal, characteristic, complemented
24C43×#2554C211yesmaximal, characteristic, complemented
25C43×#2516C211yesmaximal, characteristic, complemented
26C43×#2492C211yesmaximal, characteristic, complemented
27C43×#2465C211yesmaximal, characteristic, complemented
28C43×#2448C211yesmaximal, characteristic, complemented
29C43×#2337C211yesmaximal, characteristic, complemented
30C43×#2333C211yesmaximal, characteristic, complemented
31C4×C22⋊Q8×C43C211yesmaximal, characteristic, complemented
32C2×C4⋊Q8×C43C2211yescharacteristic
33C2×#126×C43C2211yescharacteristic
34C2×#124×C43C2211yescharacteristic
35C2×#124×C43C2211yescharacteristic
36C2×#124×C43C2211yescharacteristic
37C2×#123×C43C2211yescharacteristic
38C2×#123×C43C2211yescharacteristic
39C2×C22⋊Q8×C43C2211yescharacteristic
40C2×C22⋊Q8×C43C2211yescharacteristic
41C2×C22⋊Q8×C43C2211yescharacteristic
42C2×C22⋊Q8×C43C2211yescharacteristic
43C2×#121×C43C2211yescharacteristic
44C2×#121×C43C2211yescharacteristic
45C2×C4×Q8×C43C2211yescharacteristic
46C22×C42×C43C2211yescharacteristic
47C43×#401C2211yescharacteristic
48C43×#400C2211yescharacteristic
49C43×#400C2211yescharacteristic
50C43×#400C2211yescharacteristic
51C43×#400C2211yescharacteristic
52C43×#400C2211yescharacteristic
53C43×#400C2211yescharacteristic
54C43×#400C2211yescharacteristic
55C43×#399C2211yescharacteristic
56C43×#399C2211yescharacteristic
57C43×#399C2211yescharacteristic
58C43×#398C2211yescharacteristic
59C43×#398C2211yescharacteristic
60C43×#398C2211yescharacteristic
61C43×#398C2211yescharacteristic
62C43×#397C2211yescharacteristic
63C43×#397C2211yescharacteristic
64C43×#397C2211yescharacteristic
65C43×#397C2211yescharacteristic
66C43×#397C2211yescharacteristic
67C43×#397C2211yescharacteristic
68C43×#397C2211yescharacteristic
69C43×#397C2211yescharacteristic
70C43×#397C2211yescharacteristic
71C43×#396C2211yescharacteristic
72C43×#396C2211yescharacteristic
73C43×#396C2211yescharacteristic
74C43×#396C2211yescharacteristic
75C43×#395C2211yescharacteristic
76C43×#395C2211yescharacteristic
77C43×#395C2211yescharacteristic
78C43×#395C2211yescharacteristic
79C43×#394C2211yescharacteristic
80C43×#394C2211yescharacteristic
81C43×#394C2211yescharacteristic
82C43×#394C2211yescharacteristic
83C43×#394C2211yescharacteristic
84C43×#394C2211yescharacteristic
85C43×#394C2211yescharacteristic
86C43×#394C2211yescharacteristic
87C43×#393C2211yescharacteristic
88C43×#393C2211yescharacteristic
89C43×#393C2211yescharacteristic
90C43×#393C2211yescharacteristic
91C43×#393C2211yescharacteristic
92C43×#393C2211yescharacteristic
93C43×#392C2211yescharacteristic
94C43×#392C2211yescharacteristic
95C43×#391C2211yescharacteristic
96C43×#391C2211yescharacteristic
97C43×#391C2211yescharacteristic
98C43×#391C2211yescharacteristic
99C43×#391C2211yescharacteristic
100C43×#391C2211yescharacteristic
101C43×#391C2211yescharacteristic
102C43×#391C2211yescharacteristic
103C43×#390C2211yescharacteristic
104C43×#390C2211yescharacteristic
105C43×#390C2211yescharacteristic
106C43×#390C2211yescharacteristic
107C43×#390C2211yescharacteristic
108C43×#389C2211yescharacteristic
109C43×#389C2211yescharacteristic
110C43×#389C2211yescharacteristic
111C43×#389C2211yescharacteristic
112C43×#388C2211yescharacteristic
113C43×#388C2211yescharacteristic
114C43×#388C2211yescharacteristic
115C43×#388C2211yescharacteristic
116C43×#388C2211yescharacteristic
117C43×#388C2211yescharacteristic
118C43×#388C2211yescharacteristic
119C43×#388C2211yescharacteristic
120C43×#388C2211yescharacteristic
121C43×#388C2211yescharacteristic
122C43×#388C2211yescharacteristic
123C43×#388C2211yescharacteristic
124C43×#388C2211yescharacteristic
125C43×#388C2211yescharacteristic
126C43×#388C2211yescharacteristic
127C43×#388C2211yescharacteristic
128C43×#388C2211yescharacteristic
129C43×#388C2211yescharacteristic
130C43×#388C2211yescharacteristic
131C43×#388C2211yescharacteristic
132C43×#388C2211yescharacteristic
133C43×#387C2211yescharacteristic
134C43×#387C2211yescharacteristic
135C43×#387C2211yescharacteristic
136C43×#387C2211yescharacteristic
137C43×#387C2211yescharacteristic
138C43×#387C2211yescharacteristic
139C43×#387C2211yescharacteristic
140C43×#387C2211yescharacteristic
141C43×#387C2211yescharacteristic
142C43×#387C2211yescharacteristic
143C43×#387C2211yescharacteristic
144C43×#387C2211yescharacteristic
145C43×#387C2211yescharacteristic
146C43×#387C2211yescharacteristic
147C43×#387C2211yescharacteristic
148C43×#387C2211yescharacteristic
149C43×#386C2211yescharacteristic
150C43×#386C2211yescharacteristic
151C43×#386C2211yescharacteristic
152C43×#386C2211yescharacteristic
153C43×#386C2211yescharacteristic
154C43×#386C2211yescharacteristic
155C43×#386C2211yescharacteristic
156C43×#386C2211yescharacteristic
157C43×#386C2211yescharacteristic
158C43×#386C2211yescharacteristic
159C43×#386C2211yescharacteristic
160C43×#386C2211yescharacteristic
161C43×#385C2211yescharacteristic
162C43×#385C2211yescharacteristic
163C43×#385C2211yescharacteristic
164C43×#385C2211yescharacteristic
165C43×#385C2211yescharacteristic
166C43×#385C2211yescharacteristic
167C43×#385C2211yescharacteristic
168C43×#385C2211yescharacteristic
169C43×#383C2211yescharacteristic
170C43×#382C2211yescharacteristic
171C43×#382C2211yescharacteristic
172C43×#381C2211yescharacteristic
173C43×#381C2211yescharacteristic
174C43×#381C2211yescharacteristic
175C43×#380C2211yescharacteristic
176C43×#380C2211yescharacteristic
177C43×#380C2211yescharacteristic
178C4×C4⋊C4×C43C2211yescharacteristic
179C4×C4⋊C4×C43C2211yescharacteristic
180C4×C4⋊C4×C43C2211yescharacteristic
181C4×C4⋊C4×C43C2211yescharacteristic
182C4×C22⋊C4×C43C2211yescharacteristic
183C4×C22⋊C4×C43C2211yescharacteristic
184C4×C22⋊C4×C43C2211yescharacteristic
185C4×C22⋊C4×C43C2211yescharacteristic
186C4×C22⋊C4×C43C2211yescharacteristic
187C22×Q8×C43C2311yescharacteristic
188C22×Q8×C43C2311yescharacteristic
189C22×Q8×C43C2311yescharacteristic
190C22×Q8×C43C2311yescharacteristic
191C22×D4×C43C2311yescharacteristic
192C22×D4×C43C2311yescharacteristic
193C22×D4×C43C2311yescharacteristic
194C22×D4×C43C2311yescharacteristic
195C22×D4×C43C2311yescharacteristic
196C22×D4×C43C2311yescharacteristic
197C23×C4×C43C2311yescharacteristic
198C23×C4×C43C2311yescharacteristic
199C23×C4×C43C2311yescharacteristic
200C23×C4×C43C2311yescharacteristic
201C23×C4×C43C2311yescharacteristic
202C23×C4×C43C2311yescharacteristic
203C4⋊Q8×C43—42no—
204#126×C43—42no—
205#124×C43—24no—
206#124×C43—42no—
207#124×C43—42no—
208#123×C43—42no—
209#123×C43—42no—
210C22⋊Q8×C43—24no—
211C22⋊Q8×C43—42no—
212C22⋊Q8×C43—42no—
213C22⋊Q8×C43—42no—
214#121×C43—24no—
215#121×C43—42no—
216C4×Q8×C43—42no—
217C2×C4⋊C4×C43C2311yescharacteristic
218C2×C4⋊C4×C43C2311yescharacteristic
219C2×C4⋊C4×C43C2311yescharacteristic
220C2×C4⋊C4×C43C2311yescharacteristic
221C2×C4⋊C4×C43C2311yescharacteristic
222C2×C4⋊C4×C43C2311yescharacteristic
223C2×C4⋊C4×C43C2311yescharacteristic
224C2×C4⋊C4×C43C2311yescharacteristic
225C2×C4⋊C4×C43C2311yescharacteristic
226C2×C4⋊C4×C43C2311yescharacteristic
227C2×C4⋊C4×C43C2311yescharacteristic
228C2×C4⋊C4×C43C2311yescharacteristic
229C2×C4⋊C4×C43C2311yescharacteristic
230C2×C4⋊C4×C43C2311yescharacteristic
231C2×C4⋊C4×C43C2311yescharacteristic
232C2×C4⋊C4×C43C2311yescharacteristic
233C2×C4⋊C4×C43C2311yescharacteristic
234C2×C4⋊C4×C43C2311yescharacteristic
235C2×C4⋊C4×C43C2311yescharacteristic
236C2×C4⋊C4×C43C2311yescharacteristic
237C2×C4⋊C4×C43C2311yescharacteristic
238C2×C4⋊C4×C43C2311yescharacteristic
239C2×C4⋊C4×C43C2311yescharacteristic
240C2×C4⋊C4×C43C2311yescharacteristic
241C2×C4⋊C4×C43C2311yescharacteristic
242C2×C4⋊C4×C43C2311yescharacteristic
243C2×C4⋊C4×C43C2311yescharacteristic
244C2×C4⋊C4×C43C2311yescharacteristic
245C2×C4⋊C4×C43C2311yescharacteristic
246C2×C4⋊C4×C43C2311yescharacteristic
247C2×C4⋊C4×C43C2311yescharacteristic
248C2×C4⋊C4×C43C2311yescharacteristic
249C2×C22⋊C4×C43C2311yescharacteristic
250C2×C22⋊C4×C43C2311yescharacteristic
251C2×C22⋊C4×C43C2311yescharacteristic
252C2×C22⋊C4×C43C2311yescharacteristic
253C2×C22⋊C4×C43C2311yescharacteristic
254C2×C22⋊C4×C43C2311yescharacteristic
255C2×C22⋊C4×C43C2311yescharacteristic
256C2×C22⋊C4×C43C2311yescharacteristic
257C2×C22⋊C4×C43C2311yescharacteristic
258C2×C22⋊C4×C43C2311yescharacteristic
259C2×C22⋊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×C42×C43—42no—
292C2×C42×C43C2311yescharacteristic
293C2×C42×C43C2311yescharacteristic
294C2×C42×C43C2311yescharacteristic
295C2×C42×C43C2311yescharacteristic
296C2×C42×C43C2311yescharacteristic
297C2×C42×C43C2311yescharacteristic
298C2×C42×C43C2311yescharacteristic
299C2×C42×C43C2311yescharacteristic
300C2×C42×C43C2311yescharacteristic
301C2×C42×C43C2311yescharacteristic
302C2×C42×C43C2311yescharacteristic
303C2×C42×C43C2311yescharacteristic
304C2×C42×C43C2311yescharacteristic
305#95×C43C2311yescharacteristic
306#95×C43C2311yescharacteristic
307#95×C43C2311yescharacteristic
308#95×C43C2311yescharacteristic
309#95×C43C2311yescharacteristic
310#95×C43C2311yescharacteristic
311#95×C43C2311yescharacteristic
312#95×C43C2311yescharacteristic
313#95×C43C2311yescharacteristic
314#95×C43C2311yescharacteristic
315#95×C43C2311yescharacteristic
316#95×C43C2311yescharacteristic
317#95×C43C2311yescharacteristic
318#95×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
357C24×C43C2411yescharacteristic
358C24×C43C2411yescharacteristic
359C24×C43C2411yescharacteristic
360C24×C43C2411yescharacteristic
361C2×Q8×C43—22no—
362C2×Q8×C43—22no—
363C2×Q8×C43—22no—
364C2×Q8×C43—22no—
365C2×Q8×C43—41no—
366C2×Q8×C43—41no—
367C2×Q8×C43—41no—
368C2×Q8×C43—41no—
369C2×Q8×C43—41no—
370C2×Q8×C43—41no—
371C2×Q8×C43—41no—
372C2×Q8×C43—41no—
373C2×D4×C43—22no—
374C2×D4×C43—22no—
375C2×D4×C43—22no—
376C2×D4×C43—22no—
377C2×D4×C43—22no—
378C2×D4×C43—41no—
379C2×D4×C43—41no—
380C2×D4×C43—41no—
381C2×D4×C43—41no—
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—
391C22×C4×C43—22no—
392C22×C4×C43—22no—
393C22×C4×C43—22no—
394C22×C4×C43—22no—
395C22×C4×C43—22no—
396C22×C4×C43—41no—
397C22×C4×C43—41no—
398C22×C4×C43—41no—
399C22×C4×C43—41no—
400C22×C4×C43—41no—
401C22×C4×C43—41no—
402C22×C4×C43—41no—
403C22×C4×C43—41no—
404C22×C4×C43—41no—
405C22×C4×C43—41no—
406C22×C4×C43—41no—
407C22×C4×C43—41no—
408C22×C4×C43—41no—
409C22×C4×C43C2411yescharacteristic
410C22×C4×C43C2411yescharacteristic
411C22×C4×C43C2411yescharacteristic
412C22×C4×C43C2411yescharacteristic
413C22×C4×C43C2411yescharacteristic
414C22×C4×C43C2411yescharacteristic
415C22×C4×C43C2411yescharacteristic
416C22×C4×C43C2411yescharacteristic
417C22×C4×C43C2411yescharacteristic
418C22×C4×C43C2411yescharacteristic
419C22×C4×C43C2411yescharacteristic
420C22×C4×C43C2411yescharacteristic
421C22×C4×C43C2411yescharacteristic
422C22×C4×C43C2411yescharacteristic
423C22×C4×C43C2411yescharacteristic
424C22×C4×C43C2411yescharacteristic
425C22×C4×C43C2411yescharacteristic
426C22×C4×C43C2411yescharacteristic
427C22×C4×C43C2411yescharacteristic
428C22×C4×C43C2411yescharacteristic
429C22×C4×C43C2411yescharacteristic
430C22×C4×C43C2411yescharacteristic
431C22×C4×C43C2411yescharacteristic
432C22×C4×C43C2411yescharacteristic
433C22×C4×C43C2411yescharacteristic
434C22×C4×C43C2411yescharacteristic
435C22×C4×C43C2411yescharacteristic
436C4⋊C4×C43—22no—
437C4⋊C4×C43—22no—
438C4⋊C4×C43—22no—
439C4⋊C4×C43—22no—
440C4⋊C4×C43—22no—
441C4⋊C4×C43—22no—
442C4⋊C4×C43—22no—
443C4⋊C4×C43—22no—
444C4⋊C4×C43—22no—
445C4⋊C4×C43—22no—
446C4⋊C4×C43—22no—
447C4⋊C4×C43—22no—
448C4⋊C4×C43—41no—
449C4⋊C4×C43—41no—
450C4⋊C4×C43—41no—
451C4⋊C4×C43—41no—
452C4⋊C4×C43—41no—
453C4⋊C4×C43—41no—
454C4⋊C4×C43—41no—
455C4⋊C4×C43—41no—
456C4⋊C4×C43—41no—
457C4⋊C4×C43—41no—
458C4⋊C4×C43—41no—
459C4⋊C4×C43—41no—
460C4⋊C4×C43—41no—
461C4⋊C4×C43—41no—
462C4⋊C4×C43—41no—
463C4⋊C4×C43—41no—
464C4⋊C4×C43—41no—
465C4⋊C4×C43—41no—
466C4⋊C4×C43—41no—
467C4⋊C4×C43—41no—
468C22⋊C4×C43—22no—
469C22⋊C4×C43—22no—
470C22⋊C4×C43—22no—
471C22⋊C4×C43—22no—
472C22⋊C4×C43—22no—
473C22⋊C4×C43—22no—
474C22⋊C4×C43—22no—
475C22⋊C4×C43—22no—
476C22⋊C4×C43—22no—
477C22⋊C4×C43—22no—
478C22⋊C4×C43—22no—
479C22⋊C4×C43—22no—
480C22⋊C4×C43—41no—
481C22⋊C4×C43—41no—
482C22⋊C4×C43—41no—
483C22⋊C4×C43—41no—
484C22⋊C4×C43—41no—
485C22⋊C4×C43—41no—
486C22⋊C4×C43—41no—
487C22⋊C4×C43—41no—
488C22⋊C4×C43—41no—
489C22⋊C4×C43—41no—
490C22⋊C4×C43—41no—
491C22⋊C4×C43—41no—
492C22⋊C4×C43—41no—
493C22⋊C4×C43—41no—
494C22⋊C4×C43—41no—
495C22⋊C4×C43—41no—
496C22⋊C4×C43—41no—
497C22⋊C4×C43—41no—
498C22⋊C4×C43—41no—
499C22⋊C4×C43—41no—
500C22⋊C4×C43—41no—
501C22⋊C4×C43—41no—
502C22⋊C4×C43—41no—
503C22⋊C4×C43—41no—
504C22⋊C4×C43—41no—
505C22⋊C4×C43—41no—
506C22⋊C4×C43—41no—
507C22⋊C4×C43—41no—
508C22⋊C4×C43—41no—
509C22⋊C4×C43#4114yes—
510C42×C43—22no—
511C42×C43—22no—
512C42×C43—22no—
513C42×C43—41no—
514C42×C43—41no—
515C42×C43—41no—
516C42×C43—41no—
517C42×C43—41no—
518C42×C43—41no—
519C42×C43—41no—
520C42×C43—41no—
521C42×C43—41no—
522C42×C43—41no—
523C23×C43—21no—
524C23×C43—21no—
525C23×C43—21no—
526C23×C43—21no—
527C23×C43—21no—
528C23×C43—21no—
529C23×C43—21no—
530C23×C43—21no—
531C23×C43—21no—
532C23×C43—21no—
533C23×C43—21no—
534C23×C43—21no—
535C23×C43—21no—
536C23×C43—21no—
537C23×C43—21no—
538C23×C43—21no—
539C23×C43—21no—
540C23×C43—21no—
541C23×C43—21no—
542C23×C43—21no—
543C23×C43—21no—
544C23×C43—21no—
545C23×C43—21no—
546C23×C43—21no—
547C23×C43—21no—
548C23×C43—21no—
549C23×C43—21no—
550C23×C43C2×#4112yes—
551C23×C43C2511yescharacteristic
552Q8×C43—44no—
553Q8×C43—82no—
554Q8×C43—82no—
555Q8×C43—82no—
556D4×C43—82no—
557D4×C43—82no—
558D4×C43—82no—
559D4×C43—82no—
560D4×C43—82no—
561D4×C43—82no—
562C2×C4×C43—21no—
563C2×C4×C43—21no—
564C2×C4×C43—21no—
565C2×C4×C43—21no—
566C2×C4×C43—21no—
567C2×C4×C43—21no—
568C2×C4×C43—21no—
569C2×C4×C43—21no—
570C2×C4×C43—21no—
571C2×C4×C43—21no—
572C2×C4×C43—21no—
573C2×C4×C43—21no—
574C2×C4×C43—21no—
575C2×C4×C43—21no—
576C2×C4×C43—21no—
577C2×C4×C43—21no—
578C2×C4×C43—21no—
579C2×C4×C43—21no—
580C2×C4×C43—21no—
581C2×C4×C43—21no—
582C2×C4×C43—21no—
583C2×C4×C43—21no—
584C2×C4×C43—21no—
585C2×C4×C43—21no—
586C2×C4×C43—21no—
587C2×C4×C43—21no—
588C2×C4×C43—21no—
589C2×C4×C43—21no—
590C2×C4×C43—21no—
591C2×C4×C43—21no—
592C2×C4×C43—21no—
593C2×C4×C43—21no—
594C2×C4×C43—21no—
595C2×C4×C43—21no—
596C2×C4×C43—21no—
597C2×C4×C43—21no—
598C2×C4×C43—21no—
599C2×C4×C43—21no—
600C2×C4×C43—21no—
601C2×C4×C43—21no—
602C2×C4×C43—21no—
603C2×C4×C43—21no—
604C2×C4×C43—21no—
605C2×C4×C43—21no—
606C2×C4×C43—21no—
607C2×C4×C43—21no—
608C2×C4×C43—21no—
609C2×C4×C43—21no—
610C2×C4×C43—21no—
611C2×C4×C43—21no—
612C2×C4×C43—21no—
613C2×C4×C43—21no—
614C2×C4×C43—21no—
615C2×C4×C43—21no—
616C2×C4×C43—21no—
617C2×C4×C43—21no—
618C2×C4×C43—21no—
619C2×C4×C43—21no—
620C2×C4×C43—21no—
621C2×C4×C43—21no—
622C2×C4×C43—21no—
623C2×C4×C43—21no—
624C2×C4×C43—21no—
625C2×C4×C43—21no—
626C2×C4×C43—21no—
627C2×C4×C43—21no—
628C2×C4×C43—21no—
629C2×C4×C43—21no—
630C2×C4×C43—21no—
631C2×C4×C43—21no—
632C2×C4×C43—21no—
633C2×C4×C43—21no—
634C2×C4×C43—21no—
635C2×C4×C43—21no—
636C2×C4×C43—21no—
637C2×C4×C43—21no—
638C2×C4×C43—44no—
639C2×C4×C43—44no—
640C2×C4×C43—44no—
641C2×C4×C43—82no—
642C2×C4×C43—82no—
643C2×C4×C43—82no—
644C2×C4×C43C2×#4112yes—
645C2×C4×C43C2×#4112yes—
646C2×C4×C43H(5,𝔽2)12yes—
647C2×C4×C43H(5,𝔽2)12yes—
648C2×C4×C432−1+412yes—
649#36845C4311yesmaximal, characteristic, direct product factor, Sylow
650C22×C43—22no—
651C22×C43—22no—
652C22×C43—22no—
653C22×C43—41no—
654C22×C43—41no—
655C22×C43—41no—
656C22×C43—41no—
657C22×C43—41no—
658C22×C43—41no—
659C22×C43—41no—
660C22×C43—41no—
661C22×C43—41no—
662C22×C43—41no—
663C22×C43—41no—
664C22×C43—41no—
665C22×C43—41no—
666C22×C43—41no—
667C22×C43—41no—
668C22×C43—41no—
669C22×C43—41no—
670C22×C43—41no—
671C22×C43—41no—
672C22×C43—41no—
673C22×C43—41no—
674C22×C43—41no—
675C22×C43—41no—
676C22×C43—41no—
677C22×C43—41no—
678C22×C43C22×#4111yescharacteristic
679C22×C43C2×H(5,𝔽2)11yescharacteristic
680C22×C43C2×H(5,𝔽2)11yescharacteristic
681C22×C43C2×2−1+411yescharacteristic
682C22×C43#58511yescharacteristic
683C22×C43#58511yescharacteristic
684C22×C43#58511yescharacteristic
685C4×C43—22no—
686C4×C43—22no—
687C4×C43—22no—
688C4×C43—22no—
689C4×C43—22no—
690C4×C43—41no—
691C4×C43—41no—
692C4×C43—41no—
693C4×C43—41no—
694C4×C43—41no—
695C4×C43—41no—
696C4×C43—41no—
697C4×C43—41no—
698C4×C43—41no—
699C4×C43—41no—
700C4×C43—41no—
701C4×C43—41no—
702C4×C43—41no—
703C4×C43—41no—
704C4×C43—41no—
705C4×C43—41no—
706C4×C43—41no—
707C4×C43—41no—
708C4×C43—41no—
709C4×C43—41no—
710C4×C43—41no—
711C4×C43—41no—
712#2853C2×C4311yescharacteristic, complemented
713#2850C2×C4311yescharacteristic, complemented
714#2798C2×C4311yescharacteristic, complemented
715#2783C2×C4311yescharacteristic, complemented
716#2762C2×C4311yescharacteristic, complemented
717#2746C2×C4311yescharacteristic, complemented
718#2743C2×C4311yescharacteristic, complemented
719#2737C2×C4311yescharacteristic, complemented
720#2729C2×C4311yescharacteristic, complemented
721#2723C2×C4311yescharacteristic, complemented
722#2712C2×C4311yescharacteristic, complemented
723#2708C2×C4311yescharacteristic, complemented
724#2700C2×C4311yescharacteristic, complemented
725#2698C2×C4311yescharacteristic, complemented
726#2696C2×C4311yescharacteristic, complemented
727#2676C2×C4311yescharacteristic
728#2674C2×C4311yescharacteristic, complemented
729#2672C2×C4311yescharacteristic, complemented
730#2653C2×C4311yescharacteristic, complemented
731#2648C2×C4311yescharacteristic, complemented
732#2595C2×C4311yescharacteristic, complemented
733#2588C2×C4311yescharacteristic, complemented
734#2574C2×C4311yescharacteristic, complemented
735#2554C2×C4311yescharacteristic, complemented
736#2516C2×C4311yescharacteristic, complemented
737#2492C2×C4311yescharacteristic, complemented
738#2465C2×C4311yescharacteristic, complemented
739#2448C2×C4311yescharacteristic, complemented
740#2337C2×C4311yescharacteristic, complemented
741#2333C2×C4311yescharacteristic, complemented
742C4×C22⋊Q8C2×C4311yescharacteristic, complemented
743C2×C43—42no—
744C2×C43—81no—
745C2×C43—81no—
746C2×C43—81no—
747C2×C43#346111yescharacteristic
748C2×C43#351311yescharacteristic
749C2×C43#351411yescharacteristic
750C2×C43#354111yescharacteristic
751C2×C43#354211yescharacteristic
752C2×C43#355411yescharacteristic
753C2×C43#356811yescharacteristic
754C2×C4⋊Q8C22×C4311yescharacteristic
755C2×#126C22×C4311yescharacteristic
756C2×#124C22×C4311yescharacteristic
757C2×#124C22×C4311yescharacteristic
758C2×#124C22×C4311yescharacteristic
759C2×#123C22×C4311yescharacteristic
760C2×#123C22×C4311yescharacteristic
761C2×C22⋊Q8C22×C4311yescharacteristic
762C2×C22⋊Q8C22×C4311yescharacteristic
763C2×C22⋊Q8C22×C4311yescharacteristic
764C2×C22⋊Q8C22×C4311yescharacteristic
765C2×#121C22×C4311yescharacteristic
766C2×#121C22×C4311yescharacteristic
767C2×C4×Q8C22×C4311yescharacteristic
768C22×C42C22×C4311yescharacteristic
769#401C22×C4311yescharacteristic
770#400C22×C4311yescharacteristic
771#400C22×C4311yescharacteristic
772#400C22×C4311yescharacteristic
773#400C22×C4311yescharacteristic
774#400C22×C4311yescharacteristic
775#400C22×C4311yescharacteristic
776#400C22×C4311yescharacteristic
777#399C22×C4311yescharacteristic
778#399C22×C4311yescharacteristic
779#399C22×C4311yescharacteristic
780#398C22×C4311yescharacteristic
781#398C22×C4311yescharacteristic
782#398C22×C4311yescharacteristic
783#398C22×C4311yescharacteristic
784#397C22×C4311yescharacteristic
785#397C22×C4311yescharacteristic
786#397C22×C4311yescharacteristic
787#397C22×C4311yescharacteristic
788#397C22×C4311yescharacteristic
789#397C22×C4311yescharacteristic
790#397C22×C4311yescharacteristic
791#397C22×C4311yescharacteristic
792#397C22×C4311yescharacteristic
793#396C22×C4311yescharacteristic
794#396C22×C4311yescharacteristic
795#396C22×C4311yescharacteristic
796#396C22×C4311yescharacteristic
797#395C22×C4311yescharacteristic
798#395C22×C4311yescharacteristic
799#395C22×C4311yescharacteristic
800#395C22×C4311yescharacteristic
801#394C22×C4311yescharacteristic
802#394C22×C4311yescharacteristic
803#394C22×C4311yescharacteristic
804#394C22×C4311yescharacteristic
805#394C22×C4311yescharacteristic
806#394C22×C4311yescharacteristic
807#394C22×C4311yescharacteristic
808#394C22×C4311yescharacteristic
809#393C22×C4311yescharacteristic
810#393C22×C4311yescharacteristic
811#393C22×C4311yescharacteristic
812#393C22×C4311yescharacteristic
813#393C22×C4311yescharacteristic
814#393C22×C4311yescharacteristic
815#392C22×C4311yescharacteristic
816#392C22×C4311yescharacteristic
817#391C22×C4311yescharacteristic
818#391C22×C4311yescharacteristic
819#391C22×C4311yescharacteristic
820#391C22×C4311yescharacteristic
821#391C22×C4311yescharacteristic
822#391C22×C4311yescharacteristic
823#391C22×C4311yescharacteristic
824#391C22×C4311yescharacteristic
825#390C22×C4311yescharacteristic
826#390C22×C4311yescharacteristic
827#390C22×C4311yescharacteristic
828#390C22×C4311yescharacteristic
829#390C22×C4311yescharacteristic
830#389C22×C4311yescharacteristic
831#389C22×C4311yescharacteristic
832#389C22×C4311yescharacteristic
833#389C22×C4311yescharacteristic
834#388C22×C4311yescharacteristic
835#388C22×C4311yescharacteristic
836#388C22×C4311yescharacteristic
837#388C22×C4311yescharacteristic
838#388C22×C4311yescharacteristic
839#388C22×C4311yescharacteristic
840#388C22×C4311yescharacteristic
841#388C22×C4311yescharacteristic
842#388C22×C4311yescharacteristic
843#388C22×C4311yescharacteristic
844#388C22×C4311yescharacteristic
845#388C22×C4311yescharacteristic
846#388C22×C4311yescharacteristic
847#388C22×C4311yescharacteristic
848#388C22×C4311yescharacteristic
849#388C22×C4311yescharacteristic
850#388C22×C4311yescharacteristic
851#388C22×C4311yescharacteristic
852#388C22×C4311yescharacteristic
853#388C22×C4311yescharacteristic
854#388C22×C4311yescharacteristic
855#387C22×C4311yescharacteristic
856#387C22×C4311yescharacteristic
857#387C22×C4311yescharacteristic
858#387C22×C4311yescharacteristic
859#387C22×C4311yescharacteristic
860#387C22×C4311yescharacteristic
861#387C22×C4311yescharacteristic
862#387C22×C4311yescharacteristic
863#387C22×C4311yescharacteristic
864#387C22×C4311yescharacteristic
865#387C22×C4311yescharacteristic
866#387C22×C4311yescharacteristic
867#387C22×C4311yescharacteristic
868#387C22×C4311yescharacteristic
869#387C22×C4311yescharacteristic
870#387C22×C4311yescharacteristic
871#386C22×C4311yescharacteristic
872#386C22×C4311yescharacteristic
873#386C22×C4311yescharacteristic
874#386C22×C4311yescharacteristic
875#386C22×C4311yescharacteristic
876#386C22×C4311yescharacteristic
877#386C22×C4311yescharacteristic
878#386C22×C4311yescharacteristic
879#386C22×C4311yescharacteristic
880#386C22×C4311yescharacteristic
881#386C22×C4311yescharacteristic
882#386C22×C4311yescharacteristic
883#385C22×C4311yescharacteristic
884#385C22×C4311yescharacteristic
885#385C22×C4311yescharacteristic
886#385C22×C4311yescharacteristic
887#385C22×C4311yescharacteristic
888#385C22×C4311yescharacteristic
889#385C22×C4311yescharacteristic
890#385C22×C4311yescharacteristic
891#383C22×C4311yescharacteristic
892#382C22×C4311yescharacteristic
893#382C22×C4311yescharacteristic
894#381C22×C4311yescharacteristic
895#381C22×C4311yescharacteristic
896#381C22×C4311yescharacteristic
897#380C22×C4311yescharacteristic
898#380C22×C4311yescharacteristic
899#380C22×C4311yescharacteristic
900C4×C4⋊C4C22×C4311yescharacteristic
901C4×C4⋊C4C22×C4311yescharacteristic
902C4×C4⋊C4C22×C4311yescharacteristic
903C4×C4⋊C4C22×C4311yescharacteristic
904C4×C22⋊C4C22×C4311yescharacteristic
905C4×C22⋊C4C22×C4311yescharacteristic
906C4×C22⋊C4C22×C4311yescharacteristic
907C4×C22⋊C4C22×C4311yescharacteristic
908C4×C22⋊C4C22×C4311yescharacteristic
909C43#3684511yescharacteristic, direct product factor, Sylow
910C22×Q8C23×C4311yescharacteristic
911C22×Q8C23×C4311yescharacteristic
912C22×Q8C23×C4311yescharacteristic
913C22×Q8C23×C4311yescharacteristic
914C22×D4C23×C4311yescharacteristic
915C22×D4C23×C4311yescharacteristic
916C22×D4C23×C4311yescharacteristic
917C22×D4C23×C4311yescharacteristic
918C22×D4C23×C4311yescharacteristic
919C22×D4C23×C4311yescharacteristic
920C23×C4C23×C4311yescharacteristic
921C23×C4C23×C4311yescharacteristic
922C23×C4C23×C4311yescharacteristic
923C23×C4C23×C4311yescharacteristic
924C23×C4C23×C4311yescharacteristic
925C23×C4C23×C4311yescharacteristic
926C4⋊Q8—42no—
927#126—42no—
928#124—24no—
929#124—42no—
930#124—42no—
931#123—42no—
932#123—42no—
933C22⋊Q8—24no—
934C22⋊Q8—42no—
935C22⋊Q8—42no—
936C22⋊Q8—42no—
937#121—24no—
938#121—42no—
939C4×Q8—42no—
940C2×C4⋊C4C23×C4311yescharacteristic
941C2×C4⋊C4C23×C4311yescharacteristic
942C2×C4⋊C4C23×C4311yescharacteristic
943C2×C4⋊C4C23×C4311yescharacteristic
944C2×C4⋊C4C23×C4311yescharacteristic
945C2×C4⋊C4C23×C4311yescharacteristic
946C2×C4⋊C4C23×C4311yescharacteristic
947C2×C4⋊C4C23×C4311yescharacteristic
948C2×C4⋊C4C23×C4311yescharacteristic
949C2×C4⋊C4C23×C4311yescharacteristic
950C2×C4⋊C4C23×C4311yescharacteristic
951C2×C4⋊C4C23×C4311yescharacteristic
952C2×C4⋊C4C23×C4311yescharacteristic
953C2×C4⋊C4C23×C4311yescharacteristic
954C2×C4⋊C4C23×C4311yescharacteristic
955C2×C4⋊C4C23×C4311yescharacteristic
956C2×C4⋊C4C23×C4311yescharacteristic
957C2×C4⋊C4C23×C4311yescharacteristic
958C2×C4⋊C4C23×C4311yescharacteristic
959C2×C4⋊C4C23×C4311yescharacteristic
960C2×C4⋊C4C23×C4311yescharacteristic
961C2×C4⋊C4C23×C4311yescharacteristic
962C2×C4⋊C4C23×C4311yescharacteristic
963C2×C4⋊C4C23×C4311yescharacteristic
964C2×C4⋊C4C23×C4311yescharacteristic
965C2×C4⋊C4C23×C4311yescharacteristic
966C2×C4⋊C4C23×C4311yescharacteristic
967C2×C4⋊C4C23×C4311yescharacteristic
968C2×C4⋊C4C23×C4311yescharacteristic
969C2×C4⋊C4C23×C4311yescharacteristic
970C2×C4⋊C4C23×C4311yescharacteristic
971C2×C4⋊C4C23×C4311yescharacteristic
972C2×C22⋊C4C23×C4311yescharacteristic
973C2×C22⋊C4C23×C4311yescharacteristic
974C2×C22⋊C4C23×C4311yescharacteristic
975C2×C22⋊C4C23×C4311yescharacteristic
976C2×C22⋊C4C23×C4311yescharacteristic
977C2×C22⋊C4C23×C4311yescharacteristic
978C2×C22⋊C4C23×C4311yescharacteristic
979C2×C22⋊C4C23×C4311yescharacteristic
980C2×C22⋊C4C23×C4311yescharacteristic
981C2×C22⋊C4C23×C4311yescharacteristic
982C2×C22⋊C4C23×C4311yescharacteristic
983C2×C22⋊C4C23×C4311yescharacteristic
984C2×C22⋊C4C23×C4311yescharacteristic
985C2×C22⋊C4C23×C4311yescharacteristic
986C2×C22⋊C4C23×C4311yescharacteristic
987C2×C22⋊C4C23×C4311yescharacteristic
988C2×C22⋊C4C23×C4311yescharacteristic
989C2×C22⋊C4C23×C4311yescharacteristic
990C2×C22⋊C4C23×C4311yescharacteristic
991C2×C22⋊C4C23×C4311yescharacteristic
992C2×C22⋊C4C23×C4311yescharacteristic
993C2×C22⋊C4C23×C4311yescharacteristic
994C2×C22⋊C4C23×C4311yescharacteristic
995C2×C22⋊C4C23×C4311yescharacteristic
996C2×C22⋊C4C23×C4311yescharacteristic
997C2×C22⋊C4C23×C4311yescharacteristic
998C2×C22⋊C4C23×C4311yescharacteristic
999C2×C22⋊C4C23×C4311yescharacteristic
1000C2×C22⋊C4C23×C4311yescharacteristic
1001C2×C22⋊C4C23×C4311yescharacteristic
1002C2×C22⋊C4C23×C4311yescharacteristic
1003C2×C22⋊C4C23×C4311yescharacteristic
1004C2×C22⋊C4C23×C4311yescharacteristic
1005C2×C22⋊C4C23×C4311yescharacteristic
1006C2×C22⋊C4C23×C4311yescharacteristic
1007C2×C22⋊C4C23×C4311yescharacteristic
1008C2×C22⋊C4C23×C4311yescharacteristic
1009C2×C22⋊C4C23×C4311yescharacteristic
1010C2×C22⋊C4C23×C4311yescharacteristic
1011C2×C22⋊C4C23×C4311yescharacteristic
1012C2×C22⋊C4C23×C4311yescharacteristic
1013C2×C22⋊C4C23×C4311yescharacteristic
1014C2×C42—42no—
1015C2×C42C23×C4311yescharacteristic
1016C2×C42C23×C4311yescharacteristic
1017C2×C42C23×C4311yescharacteristic
1018C2×C42C23×C4311yescharacteristic
1019C2×C42C23×C4311yescharacteristic
1020C2×C42C23×C4311yescharacteristic
1021C2×C42C23×C4311yescharacteristic
1022C2×C42C23×C4311yescharacteristic
1023C2×C42C23×C4311yescharacteristic
1024C2×C42C23×C4311yescharacteristic
1025C2×C42C23×C4311yescharacteristic
1026C2×C42C23×C4311yescharacteristic
1027C2×C42C23×C4311yescharacteristic
1028#95C23×C4311yescharacteristic
1029#95C23×C4311yescharacteristic
1030#95C23×C4311yescharacteristic
1031#95C23×C4311yescharacteristic
1032#95C23×C4311yescharacteristic
1033#95C23×C4311yescharacteristic
1034#95C23×C4311yescharacteristic
1035#95C23×C4311yescharacteristic
1036#95C23×C4311yescharacteristic
1037#95C23×C4311yescharacteristic
1038#95C23×C4311yescharacteristic
1039#95C23×C4311yescharacteristic
1040#95C23×C4311yescharacteristic
1041#95C23×C4311yescharacteristic
1042#95C23×C4311yescharacteristic
1043#95C23×C4311yescharacteristic
1044#95C23×C4311yescharacteristic
1045#95C23×C4311yescharacteristic
1046#95C23×C4311yescharacteristic
1047#95C23×C4311yescharacteristic
1048#95C23×C4311yescharacteristic
1049#95C23×C4311yescharacteristic
1050#95C23×C4311yescharacteristic
1051#95C23×C4311yescharacteristic
1052#95C23×C4311yescharacteristic
1053#95C23×C4311yescharacteristic
1054#95C23×C4311yescharacteristic
1055#95C23×C4311yescharacteristic
1056#95C23×C4311yescharacteristic
1057#95C23×C4311yescharacteristic
1058#95C23×C4311yescharacteristic
1059#95C23×C4311yescharacteristic
1060#95C23×C4311yescharacteristic
1061#95C23×C4311yescharacteristic
1062#95C23×C4311yescharacteristic
1063#95C23×C4311yescharacteristic
1064#95C23×C4311yescharacteristic
1065#95C23×C4311yescharacteristic
1066#95C23×C4311yescharacteristic
1067#95C23×C4311yescharacteristic
1068#95C23×C4311yescharacteristic
1069#95C23×C4311yescharacteristic
1070#95C23×C4311yescharacteristic
1071#95C23×C4311yescharacteristic
1072#95C23×C4311yescharacteristic
1073#95C23×C4311yescharacteristic
1074#95C23×C4311yescharacteristic
1075#95C23×C4311yescharacteristic
1076#95C23×C4311yescharacteristic
1077#95C23×C4311yescharacteristic
1078#95C23×C4311yescharacteristic
1079#95C23×C4311yescharacteristic
1080C24C24×C4311yescharacteristic
1081C24C24×C4311yescharacteristic
1082C24C24×C4311yescharacteristic
1083C24C24×C4311yescharacteristic
1084C2×Q8—22no—
1085C2×Q8—22no—
1086C2×Q8—22no—
1087C2×Q8—22no—
1088C2×Q8—41no—
1089C2×Q8—41no—
1090C2×Q8—41no—
1091C2×Q8—41no—
1092C2×Q8—41no—
1093C2×Q8—41no—
1094C2×Q8—41no—
1095C2×Q8—41no—
1096C2×D4—22no—
1097C2×D4—22no—
1098C2×D4—22no—
1099C2×D4—22no—
1100C2×D4—22no—
1101C2×D4—41no—
1102C2×D4—41no—
1103C2×D4—41no—
1104C2×D4—41no—
1105C2×D4—41no—
1106C2×D4—41no—
1107C2×D4—41no—
1108C2×D4—41no—
1109C2×D4—41no—
1110C2×D4—41no—
1111C2×D4—41no—
1112C2×D4—41no—
1113C2×D4—41no—
1114C22×C4—22no—
1115C22×C4—22no—
1116C22×C4—22no—
1117C22×C4—22no—
1118C22×C4—22no—
1119C22×C4—41no—
1120C22×C4—41no—
1121C22×C4—41no—
1122C22×C4—41no—
1123C22×C4—41no—
1124C22×C4—41no—
1125C22×C4—41no—
1126C22×C4—41no—
1127C22×C4—41no—
1128C22×C4—41no—
1129C22×C4—41no—
1130C22×C4—41no—
1131C22×C4—41no—
1132C22×C4C24×C4311yescharacteristic
1133C22×C4C24×C4311yescharacteristic
1134C22×C4C24×C4311yescharacteristic
1135C22×C4C24×C4311yescharacteristic
1136C22×C4C24×C4311yescharacteristic
1137C22×C4C24×C4311yescharacteristic
1138C22×C4C24×C4311yescharacteristic
1139C22×C4C24×C4311yescharacteristic
1140C22×C4C24×C4311yescharacteristic
1141C22×C4C24×C4311yescharacteristic
1142C22×C4C24×C4311yescharacteristic
1143C22×C4C24×C4311yescharacteristic
1144C22×C4C24×C4311yescharacteristic
1145C22×C4C24×C4311yescharacteristic
1146C22×C4C24×C4311yescharacteristic
1147C22×C4C24×C4311yescharacteristic
1148C22×C4C24×C4311yescharacteristic
1149C22×C4C24×C4311yescharacteristic
1150C22×C4C24×C4311yescharacteristic
1151C22×C4C24×C4311yescharacteristic
1152C22×C4C24×C4311yescharacteristic
1153C22×C4C24×C4311yescharacteristic
1154C22×C4C24×C4311yescharacteristic
1155C22×C4C24×C4311yescharacteristic
1156C22×C4C24×C4311yescharacteristic
1157C22×C4C24×C4311yescharacteristic
1158C22×C4C24×C4311yescharacteristic
1159C4⋊C4—22no—
1160C4⋊C4—22no—
1161C4⋊C4—22no—
1162C4⋊C4—22no—
1163C4⋊C4—22no—
1164C4⋊C4—22no—
1165C4⋊C4—22no—
1166C4⋊C4—22no—
1167C4⋊C4—22no—
1168C4⋊C4—22no—
1169C4⋊C4—22no—
1170C4⋊C4—22no—
1171C4⋊C4—41no—
1172C4⋊C4—41no—
1173C4⋊C4—41no—
1174C4⋊C4—41no—
1175C4⋊C4—41no—
1176C4⋊C4—41no—
1177C4⋊C4—41no—
1178C4⋊C4—41no—
1179C4⋊C4—41no—
1180C4⋊C4—41no—
1181C4⋊C4—41no—
1182C4⋊C4—41no—
1183C4⋊C4—41no—
1184C4⋊C4—41no—
1185C4⋊C4—41no—
1186C4⋊C4—41no—
1187C4⋊C4—41no—
1188C4⋊C4—41no—
1189C4⋊C4—41no—
1190C4⋊C4—41no—
1191C22⋊C4—22no—
1192C22⋊C4—22no—
1193C22⋊C4—22no—
1194C22⋊C4—22no—
1195C22⋊C4—22no—
1196C22⋊C4—22no—
1197C22⋊C4—22no—
1198C22⋊C4—22no—
1199C22⋊C4—22no—
1200C22⋊C4—22no—
1201C22⋊C4—22no—
1202C22⋊C4—22no—
1203C22⋊C4—41no—
1204C22⋊C4—41no—
1205C22⋊C4—41no—
1206C22⋊C4—41no—
1207C22⋊C4—41no—
1208C22⋊C4—41no—
1209C22⋊C4—41no—
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⋊C4#41×C4314yes—
1233C42—22no—
1234C42—22no—
1235C42—22no—
1236C42—41no—
1237C42—41no—
1238C42—41no—
1239C42—41no—
1240C42—41no—
1241C42—41no—
1242C42—41no—
1243C42—41no—
1244C42—41no—
1245C42—41no—
1246C23—21no—
1247C23—21no—
1248C23—21no—
1249C23—21no—
1250C23—21no—
1251C23—21no—
1252C23—21no—
1253C23—21no—
1254C23—21no—
1255C23—21no—
1256C23—21no—
1257C23—21no—
1258C23—21no—
1259C23—21no—
1260C23—21no—
1261C23—21no—
1262C23—21no—
1263C23—21no—
1264C23—21no—
1265C23—21no—
1266C23—21no—
1267C23—21no—
1268C23—21no—
1269C23—21no—
1270C23—21no—
1271C23—21no—
1272C23—21no—
1273C23C2×#41×C4312yes—
1274C23C25×C4311yescharacteristic
1275Q8—44no—
1276Q8—82no—
1277Q8—82no—
1278Q8—82no—
1279D4—82no—
1280D4—82no—
1281D4—82no—
1282D4—82no—
1283D4—82no—
1284D4—82no—
1285C2×C4—21no—
1286C2×C4—21no—
1287C2×C4—21no—
1288C2×C4—21no—
1289C2×C4—21no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—44no—
1362C2×C4—44no—
1363C2×C4—44no—
1364C2×C4—82no—
1365C2×C4—82no—
1366C2×C4—82no—
1367C2×C4C2×#41×C4312yes—
1368C2×C4C2×#41×C4312yes—
1369C2×C4H(5,𝔽2)×C4312yes—
1370C2×C4H(5,𝔽2)×C4312yes—
1371C2×C42−1+4×C4312yes—
1372C22—22no—
1373C22—22no—
1374C22—22no—
1375C22—41no—
1376C22—41no—
1377C22—41no—
1378C22—41no—
1379C22—41no—
1380C22—41no—
1381C22—41no—
1382C22—41no—
1383C22—41no—
1384C22—41no—
1385C22—41no—
1386C22—41no—
1387C22—41no—
1388C22—41no—
1389C22—41no—
1390C22—41no—
1391C22—41no—
1392C22—41no—
1393C22—41no—
1394C22—41no—
1395C22—41no—
1396C22—41no—
1397C22—41no—
1398C22—41no—
1399C22—41no—
1400C22C22×#41×C4311yescharacteristic
1401C22C2×H(5,𝔽2)×C4311yescharacteristic
1402C22C2×H(5,𝔽2)×C4311yescharacteristic
1403C22C2×2−1+4×C4311yescharacteristic
1404C22C43×#58511yescharacteristic
1405C22C43×#58511yescharacteristic
1406C22C43×#58511yescharacteristic
1407C4—22no—
1408C4—22no—
1409C4—22no—
1410C4—22no—
1411C4—22no—
1412C4—41no—
1413C4—41no—
1414C4—41no—
1415C4—41no—
1416C4—41no—
1417C4—41no—
1418C4—41no—
1419C4—41no—
1420C4—41no—
1421C4—41no—
1422C4—41no—
1423C4—41no—
1424C4—41no—
1425C4—41no—
1426C4—41no—
1427C4—41no—
1428C4—41no—
1429C4—41no—
1430C4—41no—
1431C4—41no—
1432C4—41no—
1433C4—41no—
1434C2—42no—
1435C2—81no—
1436C2—81no—
1437C2—81no—
1438C2C43×#346111yescharacteristic
1439C2C43×#351311yescharacteristic
1440C2C43×#351411yescharacteristic
1441C2C43×#354111yescharacteristic
1442C2C43×#354211yescharacteristic
1443C2C43×#355411yescharacteristic
1444C2C43×#356811yescharacteristic
subgroupG/H
center, socleC23×C43C25
commutator, Frattini, cosocleC23C25×C43
prime radicalC43×#2676C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C43 ◁ G

Complements

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

NH ≅ G/Ntype
1. C43×#2853C2semidirect
2. C43×#2850C2semidirect
3. C43×#2798C2semidirect
4. C43×#2783C2semidirect
5. C43×#2762C2semidirect
6. C43×#2746C2semidirect
7. C43×#2743C2semidirect
8. C43×#2737C2semidirect
9. C43×#2729C2semidirect
10. C43×#2723C2semidirect
11. C43×#2712C2semidirect
12. C43×#2708C2semidirect
13. C43×#2700C2semidirect
14. C43×#2698C2semidirect
15. C43×#2696C2semidirect
17. C43×#2674C2semidirect
18. C43×#2672C2semidirect
19. C43×#2653C2semidirect
20. C43×#2648C2semidirect
21. C43×#2595C2semidirect
22. C43×#2588C2semidirect
23. C43×#2574C2semidirect
24. C43×#2554C2semidirect
25. C43×#2516C2semidirect
26. C43×#2492C2semidirect
27. C43×#2465C2semidirect
28. C43×#2448C2semidirect
29. C43×#2337C2semidirect
30. C43×#2333C2semidirect
31. C4×C22⋊Q8×C43C2semidirect
649. #36845C43direct (N × H)
712. #2853C2×C43semidirect
713. #2850C2×C43semidirect
714. #2798C2×C43semidirect
715. #2783C2×C43semidirect
716. #2762C2×C43semidirect
717. #2746C2×C43semidirect
718. #2743C2×C43semidirect
719. #2737C2×C43semidirect
720. #2729C2×C43semidirect
721. #2723C2×C43semidirect
722. #2712C2×C43semidirect
723. #2708C2×C43semidirect
724. #2700C2×C43semidirect
725. #2698C2×C43semidirect
726. #2696C2×C43semidirect
728. #2674C2×C43semidirect
729. #2672C2×C43semidirect
730. #2653C2×C43semidirect
731. #2648C2×C43semidirect
732. #2595C2×C43semidirect
733. #2588C2×C43semidirect
734. #2574C2×C43semidirect
735. #2554C2×C43semidirect
736. #2516C2×C43semidirect
737. #2492C2×C43semidirect
738. #2465C2×C43semidirect
739. #2448C2×C43semidirect
740. #2337C2×C43semidirect
741. #2333C2×C43semidirect
742. C4×C22⋊Q8C2×C43semidirect
909. C43#36845direct (N × H)

Maximal subgroups

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

subgroupindex
C43×#28532
C43×#28502
C43×#27982
C43×#27832
C43×#27622
C43×#27462
C43×#27432
C43×#27372
C43×#27292
C43×#27232
C43×#27122
C43×#27082
C43×#27002
C43×#26982
C43×#26962
C43×#26762
C43×#26742
C43×#26722
C43×#26532
C43×#26482
C43×#25952
C43×#25882
C43×#25742
C43×#25542
C43×#25162
C43×#24922
C43×#24652
C43×#24482
C43×#23372
C43×#23332
C4×C22⋊Q8×C432
#3684543