Finite Group Databasebeta

← C43×#36901 #24956918

Subgroups — C43×#36901 #24956918

Order 11008.

2064 conjugacy classes of subgroups.

The subgroup lattice has 1622 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C43×#2848C211yesmaximal, characteristic, complemented
2C43×#2847C211yesmaximal, characteristic, complemented
3C43×#2787C211yesmaximal, characteristic, complemented
4C43×#2784C211yesmaximal, characteristic, complemented
5C43×#2778C211yesmaximal, characteristic, complemented
6C43×#2747C211yesmaximal, characteristic, complemented
7C43×#2732C211yesmaximal, characteristic, complemented
8C43×#2708C211yesmaximal, characteristic, complemented
9C43×#2696C211yesmaximal, characteristic, complemented
10C43×#2695C211yesmaximal, characteristic, complemented
11C43×#2692C211yesmaximal, characteristic, complemented
12C43×#2685C211yesmaximal, characteristic, complemented
13C43×#2684C211yesmaximal, characteristic, complemented
14C43×#2681C211yesmaximal, characteristic, complemented
15C43×#2678C211yesmaximal, characteristic, complemented
16C43×#2676C211yesmaximal, characteristic, complemented
17C43×#2671C211yesmaximal, characteristic, complemented
18C43×#2668C211yesmaximal, characteristic, complemented
19C43×#2653C211yesmaximal, characteristic, complemented
20C43×#2649C211yesmaximal, characteristic, complemented
21C43×#2522C211yesmaximal, characteristic, complemented
22C43×#2521C211yesmaximal, characteristic, complemented
23C43×#2477C211yesmaximal, characteristic, complemented
24C43×#2476C211yesmaximal, characteristic, complemented
25C43×#2463C211yesmaximal, characteristic, complemented
26C43×#2456C211yesmaximal, characteristic, complemented
27C43×#2450C211yesmaximal, characteristic, complemented
28C43×#2425C211yesmaximal, characteristic, complemented
29C43×#2325C211yesmaximal, characteristic, complemented
30C43×#2324C211yesmaximal, characteristic, complemented
31C4×#120×C43C211yesmaximal, characteristic, complemented
32C24×C4×C43C2211yescharacteristic
33C2×#126×C43C2211yescharacteristic
34C2×#124×C43C2211yescharacteristic
35C2×#123×C43C2211yescharacteristic
36C2×#123×C43C2211yescharacteristic, complemented
37C2×#123×C43C2211yescharacteristic, complemented
38C2×C22⋊Q8×C43C2211yescharacteristic
39C2×C22⋊Q8×C43C2211yescharacteristic
40C2×C22⋊Q8×C43C2211yescharacteristic
41C2×C22⋊Q8×C43C2211yescharacteristic, complemented
42C2×C22⋊Q8×C43C2211yescharacteristic, complemented
43C2×#121×C43C2211yescharacteristic
44C2×#121×C43C2211yescharacteristic
45C2×#121×C43C2211yescharacteristic
46C2×#121×C43C2211yescharacteristic
47C2×#121×C43C2211yescharacteristic
48C2×#121×C43C2211yescharacteristic
49C2×#120×C43C2211yescharacteristic
50C2×#120×C43C2211yescharacteristic
51C2×#120×C43C2211yescharacteristic
52C2×C4×D4×C43C2211yescharacteristic
53C2×C4×D4×C43C2211yescharacteristic
54C2×C4×D4×C43C2211yescharacteristic
55C2×C4×D4×C43C2211yescharacteristic, complemented
56C2×#117×C43C2211yescharacteristic, complemented
57C43×#401C2211yescharacteristic, complemented
58C43×#400C2211yescharacteristic, complemented
59C43×#400C2211yescharacteristic, complemented
60C43×#400C2211yescharacteristic, complemented
61C43×#400C2211yescharacteristic, complemented
62C43×#399C2211yescharacteristic
63C43×#399C2211yescharacteristic
64C43×#399C2211yescharacteristic, complemented
65C43×#398C2211yescharacteristic, complemented
66C43×#398C2211yescharacteristic, complemented
67C43×#398C2211yescharacteristic, complemented
68C43×#398C2211yescharacteristic, complemented
69C43×#398C2211yescharacteristic, complemented
70C43×#398C2211yescharacteristic, complemented
71C43×#397C2211yescharacteristic
72C43×#397C2211yescharacteristic
73C43×#397C2211yescharacteristic
74C43×#397C2211yescharacteristic
75C43×#397C2211yescharacteristic
76C43×#397C2211yescharacteristic, complemented
77C43×#397C2211yescharacteristic, complemented
78C43×#396C2211yescharacteristic
79C43×#396C2211yescharacteristic
80C43×#396C2211yescharacteristic, complemented
81C43×#396C2211yescharacteristic, complemented
82C43×#396C2211yescharacteristic, complemented
83C43×#395C2211yescharacteristic, complemented
84C43×#394C2211yescharacteristic
85C43×#394C2211yescharacteristic
86C43×#394C2211yescharacteristic
87C43×#394C2211yescharacteristic
88C43×#394C2211yescharacteristic
89C43×#394C2211yescharacteristic
90C43×#394C2211yescharacteristic
91C43×#394C2211yescharacteristic
92C43×#394C2211yescharacteristic
93C43×#394C2211yescharacteristic
94C43×#394C2211yescharacteristic, complemented
95C43×#394C2211yescharacteristic, complemented
96C43×#393C2211yescharacteristic
97C43×#393C2211yescharacteristic
98C43×#393C2211yescharacteristic, complemented
99C43×#393C2211yescharacteristic, complemented
100C43×#393C2211yescharacteristic, complemented
101C43×#392C2211yescharacteristic
102C43×#392C2211yescharacteristic
103C43×#392C2211yescharacteristic
104C43×#392C2211yescharacteristic, complemented
105C43×#391C2211yescharacteristic, complemented
106C43×#391C2211yescharacteristic, complemented
107C43×#390C2211yescharacteristic
108C43×#390C2211yescharacteristic
109C43×#390C2211yescharacteristic
110C43×#390C2211yescharacteristic
111C43×#390C2211yescharacteristic, complemented
112C43×#389C2211yescharacteristic, complemented
113C43×#389C2211yescharacteristic, complemented
114C43×#389C2211yescharacteristic, complemented
115C43×#388C2211yescharacteristic
116C43×#388C2211yescharacteristic
117C43×#388C2211yescharacteristic
118C43×#388C2211yescharacteristic
119C43×#388C2211yescharacteristic
120C43×#388C2211yescharacteristic
121C43×#388C2211yescharacteristic, complemented
122C43×#388C2211yescharacteristic, complemented
123C43×#388C2211yescharacteristic, complemented
124C43×#388C2211yescharacteristic, complemented
125C43×#388C2211yescharacteristic, complemented
126C43×#388C2211yescharacteristic, complemented
127C43×#388C2211yescharacteristic, complemented
128C43×#387C2211yescharacteristic, complemented
129C43×#387C2211yescharacteristic, complemented
130C43×#387C2211yescharacteristic, complemented
131C43×#387C2211yescharacteristic, complemented
132C43×#387C2211yescharacteristic, complemented
133C43×#387C2211yescharacteristic, complemented
134C43×#387C2211yescharacteristic, complemented
135C43×#387C2211yescharacteristic, complemented
136C43×#387C2211yescharacteristic, complemented
137C43×#386C2211yescharacteristic
138C43×#386C2211yescharacteristic
139C43×#386C2211yescharacteristic
140C43×#386C2211yescharacteristic
141C43×#386C2211yescharacteristic
142C43×#386C2211yescharacteristic
143C43×#386C2211yescharacteristic
144C43×#386C2211yescharacteristic
145C43×#386C2211yescharacteristic
146C43×#386C2211yescharacteristic
147C43×#386C2211yescharacteristic
148C43×#386C2211yescharacteristic
149C43×#386C2211yescharacteristic
150C43×#386C2211yescharacteristic
151C43×#386C2211yescharacteristic
152C43×#386C2211yescharacteristic
153C43×#386C2211yescharacteristic
154C43×#386C2211yescharacteristic, complemented
155C43×#386C2211yescharacteristic, complemented
156C43×#386C2211yescharacteristic, complemented
157C43×#385C2211yescharacteristic
158C43×#385C2211yescharacteristic
159C43×#385C2211yescharacteristic
160C43×#385C2211yescharacteristic
161C43×#385C2211yescharacteristic
162C43×#385C2211yescharacteristic
163C43×#385C2211yescharacteristic
164C43×#385C2211yescharacteristic
165C43×#385C2211yescharacteristic
166C43×#385C2211yescharacteristic, complemented
167C43×#385C2211yescharacteristic, complemented
168C43×#385C2211yescharacteristic, complemented
169C43×#385C2211yescharacteristic, complemented
170C43×#385C2211yescharacteristic, complemented
171C43×#380C2211yescharacteristic
172C43×#380C2211yescharacteristic
173C43×#380C2211yescharacteristic
174C43×#380C2211yescharacteristic
175C43×#380C2211yescharacteristic
176C43×#380C2211yescharacteristic
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×Q8×C43C2311yescharacteristic
189C22×Q8×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×C43—42no—
203C23×C4×C43—42no—
204C23×C4×C43—42no—
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
214C23×C4×C43C2311yescharacteristic
215C23×C4×C43C2311yescharacteristic
216#126×C43—42no—
217#124×C43—42no—
218#123×C43—42no—
219#123×C43—42no—
220#123×C43—42no—
221C22⋊Q8×C43—42no—
222C22⋊Q8×C43—42no—
223C22⋊Q8×C43—42no—
224C22⋊Q8×C43—42no—
225C22⋊Q8×C43—42no—
226#121×C43—24no—
227#121×C43—24no—
228#121×C43—42no—
229#121×C43—42no—
230#121×C43—42no—
231#121×C43—42no—
232#120×C43—24no—
233#120×C43—42no—
234#120×C43—42no—
235C4×D4×C43—42no—
236C4×D4×C43—42no—
237C4×D4×C43—42no—
238C4×D4×C43—42no—
239#117×C43—42no—
240C2×C4⋊C4×C43C2311yescharacteristic
241C2×C4⋊C4×C43C2311yescharacteristic
242C2×C4⋊C4×C43C2311yescharacteristic
243C2×C4⋊C4×C43C2311yescharacteristic
244C2×C4⋊C4×C43C2311yescharacteristic
245C2×C4⋊C4×C43C2311yescharacteristic
246C2×C4⋊C4×C43C2311yescharacteristic
247C2×C4⋊C4×C43C2311yescharacteristic
248C2×C4⋊C4×C43C2311yescharacteristic
249C2×C4⋊C4×C43C2311yescharacteristic
250C2×C4⋊C4×C43C2311yescharacteristic
251C2×C4⋊C4×C43C2311yescharacteristic
252C2×C4⋊C4×C43C2311yescharacteristic
253C2×C4⋊C4×C43C2311yescharacteristic
254C2×C4⋊C4×C43C2311yescharacteristic
255C2×C4⋊C4×C43C2311yescharacteristic
256C2×C4⋊C4×C43C2311yescharacteristic
257C2×C4⋊C4×C43C2311yescharacteristic
258C2×C4⋊C4×C43C2311yescharacteristic
259C2×C4⋊C4×C43C2311yescharacteristic
260C2×C4⋊C4×C43C2311yescharacteristic
261C2×C4⋊C4×C43C2311yescharacteristic
262C2×C4⋊C4×C43C2311yescharacteristic
263C2×C4⋊C4×C43C2311yescharacteristic
264C2×C4⋊C4×C43C2311yescharacteristic
265C2×C4⋊C4×C43C2311yescharacteristic
266C2×C4⋊C4×C43C2311yescharacteristic
267C2×C4⋊C4×C43C2311yescharacteristic
268C2×C4⋊C4×C43C2311yescharacteristic
269C2×C4⋊C4×C43C2311yescharacteristic
270C2×C22⋊C4×C43C2311yescharacteristic
271C2×C22⋊C4×C43C2311yescharacteristic
272C2×C22⋊C4×C43C2311yescharacteristic
273C2×C22⋊C4×C43C2311yescharacteristic
274C2×C22⋊C4×C43C2311yescharacteristic
275C2×C22⋊C4×C43C2311yescharacteristic
276C2×C22⋊C4×C43C2311yescharacteristic
277C2×C22⋊C4×C43C2311yescharacteristic
278C2×C22⋊C4×C43C2311yescharacteristic
279C2×C22⋊C4×C43C2311yescharacteristic
280C2×C22⋊C4×C43C2311yescharacteristic
281C2×C22⋊C4×C43C2311yescharacteristic
282C2×C22⋊C4×C43C2311yescharacteristic
283C2×C22⋊C4×C43C2311yescharacteristic
284C2×C22⋊C4×C43C2311yescharacteristic
285C2×C22⋊C4×C43C2311yescharacteristic
286C2×C22⋊C4×C43C2311yescharacteristic
287C2×C22⋊C4×C43C2311yescharacteristic
288C2×C22⋊C4×C43C2311yescharacteristic
289C2×C22⋊C4×C43C2311yescharacteristic
290C2×C22⋊C4×C43C2311yescharacteristic
291C2×C22⋊C4×C43C2311yescharacteristic
292C2×C22⋊C4×C43C2311yescharacteristic
293C2×C22⋊C4×C43C2311yescharacteristic
294C2×C22⋊C4×C43C2311yescharacteristic
295C2×C22⋊C4×C43C2311yescharacteristic
296C2×C22⋊C4×C43C2311yescharacteristic
297C2×C22⋊C4×C43C2311yescharacteristic
298C2×C22⋊C4×C43C2311yescharacteristic
299C2×C22⋊C4×C43C2311yescharacteristic
300C2×C22⋊C4×C43C2311yescharacteristic
301C2×C22⋊C4×C43C2311yescharacteristic
302C2×C22⋊C4×C43C2311yescharacteristic
303C2×C22⋊C4×C43C2311yescharacteristic
304C2×C22⋊C4×C43C2311yescharacteristic
305C2×C22⋊C4×C43C2311yescharacteristic
306C2×C22⋊C4×C43C2311yescharacteristic
307C2×C22⋊C4×C43C2311yescharacteristic
308C2×C22⋊C4×C43C2311yescharacteristic
309C2×C22⋊C4×C43C2311yescharacteristic
310C2×C22⋊C4×C43C2311yescharacteristic
311C2×C22⋊C4×C43C2311yescharacteristic
312C2×C22⋊C4×C43C2311yescharacteristic
313C2×C22⋊C4×C43C2311yescharacteristic
314C2×C22⋊C4×C43C2311yescharacteristic
315C2×C22⋊C4×C43C2311yescharacteristic
316C2×C22⋊C4×C43C2311yescharacteristic
317C2×C22⋊C4×C43C2311yescharacteristic
318C2×C22⋊C4×C43C2311yescharacteristic
319C2×C22⋊C4×C43C2311yescharacteristic
320C2×C22⋊C4×C43C2311yescharacteristic
321C2×C22⋊C4×C43C2311yescharacteristic
322C2×C42×C43C2311yescharacteristic
323C2×C42×C43C2311yescharacteristic
324C2×C42×C43C2311yescharacteristic
325C2×C42×C43C2311yescharacteristic
326C2×C42×C43C2311yescharacteristic
327C2×C42×C43C2311yescharacteristic
328C2×C42×C43C2311yescharacteristic
329#95×C43C2311yescharacteristic
330#95×C43C2311yescharacteristic
331#95×C43C2311yescharacteristic
332#95×C43C2311yescharacteristic
333#95×C43C2311yescharacteristic
334#95×C43C2311yescharacteristic
335#95×C43C2311yescharacteristic
336#95×C43C2311yescharacteristic
337#95×C43C2311yescharacteristic
338#95×C43C2311yescharacteristic
339#95×C43C2311yescharacteristic
340#95×C43C2311yescharacteristic
341#95×C43C2311yescharacteristic
342#95×C43C2311yescharacteristic
343#95×C43C2311yescharacteristic
344#95×C43C2311yescharacteristic
345#95×C43C2311yescharacteristic
346#95×C43C2311yescharacteristic
347#95×C43C2311yescharacteristic
348#95×C43C2311yescharacteristic
349#95×C43C2311yescharacteristic
350#95×C43C2311yescharacteristic
351#95×C43C2311yescharacteristic
352#95×C43C2311yescharacteristic
353#95×C43C2311yescharacteristic
354#95×C43C2311yescharacteristic
355#95×C43C2311yescharacteristic
356#95×C43C2311yescharacteristic
357#95×C43C2311yescharacteristic
358#95×C43C2311yescharacteristic
359#95×C43C2311yescharacteristic
360#95×C43C2311yescharacteristic
361#95×C43C2311yescharacteristic
362#95×C43C2311yescharacteristic
363#95×C43C2311yescharacteristic
364#95×C43C2311yescharacteristic
365#95×C43C2311yescharacteristic
366#95×C43C2311yescharacteristic
367#95×C43C2311yescharacteristic
368#95×C43C2311yescharacteristic
369C24×C43—22no—
370C24×C43—22no—
371C24×C43—22no—
372C24×C43—41no—
373C24×C43—41no—
374C24×C43—41no—
375C24×C43—41no—
376C24×C43C2411yescharacteristic
377C24×C43C2411yescharacteristic
378C24×C43C2411yescharacteristic
379C24×C43C2411yescharacteristic
380C24×C43C2411yescharacteristic
381C24×C43C2411yescharacteristic
382C2×Q8×C43—22no—
383C2×Q8×C43—41no—
384C2×Q8×C43—41no—
385C2×Q8×C43—41no—
386C2×Q8×C43—41no—
387C2×Q8×C43—41no—
388C2×D4×C43—22no—
389C2×D4×C43—22no—
390C2×D4×C43—22no—
391C2×D4×C43—22no—
392C2×D4×C43—22no—
393C2×D4×C43—22no—
394C2×D4×C43—22no—
395C2×D4×C43—22no—
396C2×D4×C43—22no—
397C2×D4×C43—22no—
398C2×D4×C43—22no—
399C2×D4×C43—22no—
400C2×D4×C43—22no—
401C2×D4×C43—41no—
402C2×D4×C43—41no—
403C2×D4×C43—41no—
404C2×D4×C43—41no—
405C2×D4×C43—41no—
406C2×D4×C43—41no—
407C2×D4×C43—41no—
408C2×D4×C43—41no—
409C2×D4×C43—41no—
410C2×D4×C43—41no—
411C2×D4×C43—41no—
412C2×D4×C43—41no—
413C2×D4×C43—41no—
414C2×D4×C43—41no—
415C2×D4×C43—41no—
416C2×D4×C43—41no—
417C2×D4×C43—41no—
418C2×D4×C43—41no—
419C2×D4×C43—41no—
420C2×D4×C43—41no—
421C2×D4×C43—41no—
422C2×D4×C43—41no—
423C2×D4×C43#4114yes—
424C22×C4×C43—22no—
425C22×C4×C43—22no—
426C22×C4×C43—22no—
427C22×C4×C43—22no—
428C22×C4×C43—22no—
429C22×C4×C43—22no—
430C22×C4×C43—22no—
431C22×C4×C43—22no—
432C22×C4×C43—22no—
433C22×C4×C43—22no—
434C22×C4×C43—22no—
435C22×C4×C43—22no—
436C22×C4×C43—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—41no—
446C22×C4×C43—41no—
447C22×C4×C43—41no—
448C22×C4×C43—41no—
449C22×C4×C43—41no—
450C22×C4×C43—41no—
451C22×C4×C43—41no—
452C22×C4×C43—41no—
453C22×C4×C43—41no—
454C22×C4×C43—41no—
455C22×C4×C43—41no—
456C22×C4×C43—41no—
457C22×C4×C43—416no—
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
471C22×C4×C43C2411yescharacteristic
472C22×C4×C43C2411yescharacteristic
473C22×C4×C43C2411yescharacteristic
474C22×C4×C43C2411yescharacteristic
475C22×C4×C43C2411yescharacteristic
476C22×C4×C43C2411yescharacteristic
477C22×C4×C43C2411yescharacteristic
478C22×C4×C43C2411yescharacteristic
479C22×C4×C43C2411yescharacteristic
480C22×C4×C43C2411yescharacteristic
481C22×C4×C43C2411yescharacteristic
482C22×C4×C43C2411yescharacteristic
483C4⋊C4×C43—22no—
484C4⋊C4×C43—22no—
485C4⋊C4×C43—22no—
486C4⋊C4×C43—22no—
487C4⋊C4×C43—22no—
488C4⋊C4×C43—22no—
489C4⋊C4×C43—22no—
490C4⋊C4×C43—22no—
491C4⋊C4×C43—22no—
492C4⋊C4×C43—22no—
493C4⋊C4×C43—41no—
494C4⋊C4×C43—41no—
495C4⋊C4×C43—41no—
496C4⋊C4×C43—41no—
497C4⋊C4×C43—41no—
498C4⋊C4×C43—41no—
499C4⋊C4×C43—41no—
500C4⋊C4×C43—41no—
501C4⋊C4×C43—41no—
502C4⋊C4×C43—41no—
503C4⋊C4×C43—41no—
504C4⋊C4×C43—41no—
505C4⋊C4×C43—41no—
506C4⋊C4×C43—41no—
507C4⋊C4×C43—41no—
508C4⋊C4×C43—41no—
509C4⋊C4×C43—41no—
510C4⋊C4×C43—41no—
511C4⋊C4×C43—41no—
512C4⋊C4×C43—41no—
513C22⋊C4×C43—22no—
514C22⋊C4×C43—22no—
515C22⋊C4×C43—22no—
516C22⋊C4×C43—22no—
517C22⋊C4×C43—22no—
518C22⋊C4×C43—22no—
519C22⋊C4×C43—22no—
520C22⋊C4×C43—22no—
521C22⋊C4×C43—22no—
522C22⋊C4×C43—22no—
523C22⋊C4×C43—22no—
524C22⋊C4×C43—22no—
525C22⋊C4×C43—22no—
526C22⋊C4×C43—22no—
527C22⋊C4×C43—22no—
528C22⋊C4×C43—22no—
529C22⋊C4×C43—22no—
530C22⋊C4×C43—22no—
531C22⋊C4×C43—22no—
532C22⋊C4×C43—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—
551C22⋊C4×C43—41no—
552C22⋊C4×C43—41no—
553C22⋊C4×C43—41no—
554C22⋊C4×C43—41no—
555C22⋊C4×C43—41no—
556C22⋊C4×C43—41no—
557C22⋊C4×C43—41no—
558C22⋊C4×C43—41no—
559C22⋊C4×C43—41no—
560C22⋊C4×C43—41no—
561C22⋊C4×C43—41no—
562C22⋊C4×C43—41no—
563C22⋊C4×C43—41no—
564C22⋊C4×C43—41no—
565C42×C43—22no—
566C42×C43—41no—
567C42×C43—41no—
568C42×C43—41no—
569C42×C43—41no—
570C42×C43—41no—
571C42×C43—41no—
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×C43—21no—
598C23×C43—21no—
599C23×C43—21no—
600C23×C43—21no—
601C23×C43—21no—
602C23×C43—21no—
603C23×C43—21no—
604C23×C43—21no—
605C23×C43—21no—
606C23×C43—21no—
607C23×C43—21no—
608C23×C43—21no—
609C23×C43—21no—
610C23×C43—44no—
611C23×C43—44no—
612C23×C43—44no—
613C23×C43—44no—
614C23×C43—44no—
615C23×C43—44no—
616C23×C43—44no—
617C23×C43C2×#4112yes—
618C23×C43C2×#4112yes—
619C23×C43H(5,𝔽2)12yes—
620C23×C432−1+412yes—
621C23×C43C2511yescharacteristic
622Q8×C43—82no—
623Q8×C43—82no—
624D4×C43—44no—
625D4×C43—44no—
626D4×C43—44no—
627D4×C43—44no—
628D4×C43—82no—
629D4×C43—82no—
630D4×C43—82no—
631D4×C43—82no—
632D4×C43—82no—
633D4×C43—82no—
634D4×C43—82no—
635D4×C43—82no—
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—21no—
694C2×C4×C43—21no—
695C2×C4×C43—21no—
696C2×C4×C43—21no—
697C2×C4×C43—21no—
698C2×C4×C43—21no—
699C2×C4×C43—21no—
700C2×C4×C43—21no—
701C2×C4×C43—21no—
702C2×C4×C43—21no—
703C2×C4×C43—21no—
704C2×C4×C43—21no—
705C2×C4×C43—21no—
706C2×C4×C43—21no—
707C2×C4×C43—44no—
708C2×C4×C43—44no—
709C2×C4×C43—44no—
710C2×C4×C43—44no—
711C2×C4×C43—44no—
712C2×C4×C43—44no—
713C2×C4×C43—44no—
714C2×C4×C43—82no—
715C2×C4×C43—82no—
716C2×C4×C43—82no—
717C2×C4×C43—82no—
718C2×C4×C43C2×#4112yes—
719C2×C4×C43H(5,𝔽2)12yes—
720C2×C4×C43H(5,𝔽2)12yes—
721C2×C4×C43H(5,𝔽2)12yes—
722#36901C4311yesmaximal, characteristic, direct product factor, Sylow
723C22×C43—22no—
724C22×C43—22no—
725C22×C43—22no—
726C22×C43—22no—
727C22×C43—22no—
728C22×C43—22no—
729C22×C43—22no—
730C22×C43—22no—
731C22×C43—22no—
732C22×C43—22no—
733C22×C43—22no—
734C22×C43—22no—
735C22×C43—416no—
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×C43—41no—
751C22×C43—41no—
752C22×C43—41no—
753C22×C43—41no—
754C22×C43—41no—
755C22×C43—41no—
756C22×C43—41no—
757C22×C43—41no—
758C22×C43—41no—
759C22×C43—41no—
760C22×C43—41no—
761C22×C43—41no—
762C22×C43—41no—
763C22×C43—41no—
764C22×C43—41no—
765C22×C43—41no—
766C22×C43C22×#4111yescharacteristic
767C22×C43C2×H(5,𝔽2)11yescharacteristic
768C22×C43C2×H(5,𝔽2)11yescharacteristic
769C22×C43C2×H(5,𝔽2)11yescharacteristic
770C22×C43C2×H(5,𝔽2)11yescharacteristic
771C22×C43C2×2−1+411yescharacteristic
772C22×C43#58511yescharacteristic
773C4×C43—22no—
774C4×C43—22no—
775C4×C43—22no—
776C4×C43—22no—
777C4×C43—41no—
778C4×C43—41no—
779C4×C43—41no—
780C4×C43—41no—
781C4×C43—41no—
782C4×C43—41no—
783C4×C43—41no—
784C4×C43—41no—
785C4×C43—41no—
786C4×C43—41no—
787C4×C43—41no—
788C4×C43—41no—
789C4×C43—41no—
790C4×C43—41no—
791C4×C43—41no—
792C4×C43—41no—
793C4×C43—41no—
794C4×C43—41no—
795C4×C43—41no—
796C4×C43—41no—
797C4×C43—41no—
798#2848C2×C4311yescharacteristic, complemented
799#2847C2×C4311yescharacteristic, complemented
800#2787C2×C4311yescharacteristic, complemented
801#2784C2×C4311yescharacteristic, complemented
802#2778C2×C4311yescharacteristic, complemented
803#2747C2×C4311yescharacteristic, complemented
804#2732C2×C4311yescharacteristic, complemented
805#2708C2×C4311yescharacteristic, complemented
806#2696C2×C4311yescharacteristic, complemented
807#2695C2×C4311yescharacteristic, complemented
808#2692C2×C4311yescharacteristic, complemented
809#2685C2×C4311yescharacteristic, complemented
810#2684C2×C4311yescharacteristic, complemented
811#2681C2×C4311yescharacteristic, complemented
812#2678C2×C4311yescharacteristic, complemented
813#2676C2×C4311yescharacteristic, complemented
814#2671C2×C4311yescharacteristic, complemented
815#2668C2×C4311yescharacteristic, complemented
816#2653C2×C4311yescharacteristic, complemented
817#2649C2×C4311yescharacteristic, complemented
818#2522C2×C4311yescharacteristic, complemented
819#2521C2×C4311yescharacteristic, complemented
820#2477C2×C4311yescharacteristic, complemented
821#2476C2×C4311yescharacteristic, complemented
822#2463C2×C4311yescharacteristic, complemented
823#2456C2×C4311yescharacteristic, complemented
824#2450C2×C4311yescharacteristic, complemented
825#2425C2×C4311yescharacteristic, complemented
826#2325C2×C4311yescharacteristic, complemented
827#2324C2×C4311yescharacteristic, complemented
828C4×#120C2×C4311yescharacteristic, complemented
829C2×C43—42no—
830C2×C43—42no—
831C2×C43—42no—
832C2×C43—42no—
833C2×C43—81no—
834C2×C43—81no—
835C2×C43#345911yescharacteristic
836C2×C43#351911yescharacteristic
837C2×C43#352011yescharacteristic
838C2×C43#353211yescharacteristic
839C2×C43#353611yescharacteristic
840C2×C43#354111yescharacteristic
841C2×C43#354211yescharacteristic
842C24×C4C22×C4311yescharacteristic
843C2×#126C22×C4311yescharacteristic
844C2×#124C22×C4311yescharacteristic
845C2×#123C22×C4311yescharacteristic
846C2×#123C22×C4311yescharacteristic, complemented
847C2×#123C22×C4311yescharacteristic, complemented
848C2×C22⋊Q8C22×C4311yescharacteristic
849C2×C22⋊Q8C22×C4311yescharacteristic
850C2×C22⋊Q8C22×C4311yescharacteristic
851C2×C22⋊Q8C22×C4311yescharacteristic, complemented
852C2×C22⋊Q8C22×C4311yescharacteristic, complemented
853C2×#121C22×C4311yescharacteristic
854C2×#121C22×C4311yescharacteristic
855C2×#121C22×C4311yescharacteristic
856C2×#121C22×C4311yescharacteristic
857C2×#121C22×C4311yescharacteristic
858C2×#121C22×C4311yescharacteristic
859C2×#120C22×C4311yescharacteristic
860C2×#120C22×C4311yescharacteristic
861C2×#120C22×C4311yescharacteristic
862C2×C4×D4C22×C4311yescharacteristic
863C2×C4×D4C22×C4311yescharacteristic
864C2×C4×D4C22×C4311yescharacteristic
865C2×C4×D4C22×C4311yescharacteristic, complemented
866C2×#117C22×C4311yescharacteristic, complemented
867#401C22×C4311yescharacteristic, complemented
868#400C22×C4311yescharacteristic, complemented
869#400C22×C4311yescharacteristic, complemented
870#400C22×C4311yescharacteristic, complemented
871#400C22×C4311yescharacteristic, complemented
872#399C22×C4311yescharacteristic
873#399C22×C4311yescharacteristic
874#399C22×C4311yescharacteristic, complemented
875#398C22×C4311yescharacteristic, complemented
876#398C22×C4311yescharacteristic, complemented
877#398C22×C4311yescharacteristic, complemented
878#398C22×C4311yescharacteristic, complemented
879#398C22×C4311yescharacteristic, complemented
880#398C22×C4311yescharacteristic, complemented
881#397C22×C4311yescharacteristic
882#397C22×C4311yescharacteristic
883#397C22×C4311yescharacteristic
884#397C22×C4311yescharacteristic
885#397C22×C4311yescharacteristic
886#397C22×C4311yescharacteristic, complemented
887#397C22×C4311yescharacteristic, complemented
888#396C22×C4311yescharacteristic
889#396C22×C4311yescharacteristic
890#396C22×C4311yescharacteristic, complemented
891#396C22×C4311yescharacteristic, complemented
892#396C22×C4311yescharacteristic, complemented
893#395C22×C4311yescharacteristic, complemented
894#394C22×C4311yescharacteristic
895#394C22×C4311yescharacteristic
896#394C22×C4311yescharacteristic
897#394C22×C4311yescharacteristic
898#394C22×C4311yescharacteristic
899#394C22×C4311yescharacteristic
900#394C22×C4311yescharacteristic
901#394C22×C4311yescharacteristic
902#394C22×C4311yescharacteristic
903#394C22×C4311yescharacteristic
904#394C22×C4311yescharacteristic, complemented
905#394C22×C4311yescharacteristic, complemented
906#393C22×C4311yescharacteristic
907#393C22×C4311yescharacteristic
908#393C22×C4311yescharacteristic, complemented
909#393C22×C4311yescharacteristic, complemented
910#393C22×C4311yescharacteristic, complemented
911#392C22×C4311yescharacteristic
912#392C22×C4311yescharacteristic
913#392C22×C4311yescharacteristic
914#392C22×C4311yescharacteristic, complemented
915#391C22×C4311yescharacteristic, complemented
916#391C22×C4311yescharacteristic, complemented
917#390C22×C4311yescharacteristic
918#390C22×C4311yescharacteristic
919#390C22×C4311yescharacteristic
920#390C22×C4311yescharacteristic
921#390C22×C4311yescharacteristic, complemented
922#389C22×C4311yescharacteristic, complemented
923#389C22×C4311yescharacteristic, complemented
924#389C22×C4311yescharacteristic, complemented
925#388C22×C4311yescharacteristic
926#388C22×C4311yescharacteristic
927#388C22×C4311yescharacteristic
928#388C22×C4311yescharacteristic
929#388C22×C4311yescharacteristic
930#388C22×C4311yescharacteristic
931#388C22×C4311yescharacteristic, complemented
932#388C22×C4311yescharacteristic, complemented
933#388C22×C4311yescharacteristic, complemented
934#388C22×C4311yescharacteristic, complemented
935#388C22×C4311yescharacteristic, complemented
936#388C22×C4311yescharacteristic, complemented
937#388C22×C4311yescharacteristic, complemented
938#387C22×C4311yescharacteristic, complemented
939#387C22×C4311yescharacteristic, complemented
940#387C22×C4311yescharacteristic, complemented
941#387C22×C4311yescharacteristic, complemented
942#387C22×C4311yescharacteristic, complemented
943#387C22×C4311yescharacteristic, complemented
944#387C22×C4311yescharacteristic, complemented
945#387C22×C4311yescharacteristic, complemented
946#387C22×C4311yescharacteristic, complemented
947#386C22×C4311yescharacteristic
948#386C22×C4311yescharacteristic
949#386C22×C4311yescharacteristic
950#386C22×C4311yescharacteristic
951#386C22×C4311yescharacteristic
952#386C22×C4311yescharacteristic
953#386C22×C4311yescharacteristic
954#386C22×C4311yescharacteristic
955#386C22×C4311yescharacteristic
956#386C22×C4311yescharacteristic
957#386C22×C4311yescharacteristic
958#386C22×C4311yescharacteristic
959#386C22×C4311yescharacteristic
960#386C22×C4311yescharacteristic
961#386C22×C4311yescharacteristic
962#386C22×C4311yescharacteristic
963#386C22×C4311yescharacteristic
964#386C22×C4311yescharacteristic, complemented
965#386C22×C4311yescharacteristic, complemented
966#386C22×C4311yescharacteristic, complemented
967#385C22×C4311yescharacteristic
968#385C22×C4311yescharacteristic
969#385C22×C4311yescharacteristic
970#385C22×C4311yescharacteristic
971#385C22×C4311yescharacteristic
972#385C22×C4311yescharacteristic
973#385C22×C4311yescharacteristic
974#385C22×C4311yescharacteristic
975#385C22×C4311yescharacteristic
976#385C22×C4311yescharacteristic, complemented
977#385C22×C4311yescharacteristic, complemented
978#385C22×C4311yescharacteristic, complemented
979#385C22×C4311yescharacteristic, complemented
980#385C22×C4311yescharacteristic, complemented
981#380C22×C4311yescharacteristic
982#380C22×C4311yescharacteristic
983#380C22×C4311yescharacteristic
984#380C22×C4311yescharacteristic
985#380C22×C4311yescharacteristic
986#380C22×C4311yescharacteristic
987#380C22×C4311yescharacteristic, complemented
988#380C22×C4311yescharacteristic, complemented
989#379C22×C4311yescharacteristic
990#379C22×C4311yescharacteristic
991#379C22×C4311yescharacteristic
992C4×C4⋊C4C22×C4311yescharacteristic, complemented
993C4×C22⋊C4C22×C4311yescharacteristic
994C4×C22⋊C4C22×C4311yescharacteristic
995C4×C22⋊C4C22×C4311yescharacteristic
996C2×#95C22×C4311yescharacteristic, complemented
997C43#3690111yescharacteristic, direct product factor, Sylow
998C25C23×C4311yescharacteristic
999C22×Q8C23×C4311yescharacteristic
1000C22×Q8C23×C4311yescharacteristic
1001C22×D4C23×C4311yescharacteristic
1002C22×D4C23×C4311yescharacteristic
1003C22×D4C23×C4311yescharacteristic
1004C22×D4C23×C4311yescharacteristic
1005C22×D4C23×C4311yescharacteristic
1006C22×D4C23×C4311yescharacteristic
1007C22×D4C23×C4311yescharacteristic
1008C22×D4C23×C4311yescharacteristic
1009C22×D4C23×C4311yescharacteristic
1010C22×D4C23×C4311yescharacteristic
1011C22×D4C23×C4311yescharacteristic
1012C22×D4C23×C4311yescharacteristic
1013C23×C4—42no—
1014C23×C4—42no—
1015C23×C4—42no—
1016C23×C4C23×C4311yescharacteristic
1017C23×C4C23×C4311yescharacteristic
1018C23×C4C23×C4311yescharacteristic
1019C23×C4C23×C4311yescharacteristic
1020C23×C4C23×C4311yescharacteristic
1021C23×C4C23×C4311yescharacteristic
1022C23×C4C23×C4311yescharacteristic
1023C23×C4C23×C4311yescharacteristic
1024C23×C4C23×C4311yescharacteristic
1025C23×C4C23×C4311yescharacteristic
1026C23×C4C23×C4311yescharacteristic
1027#126—42no—
1028#124—42no—
1029#123—42no—
1030#123—42no—
1031#123—42no—
1032C22⋊Q8—42no—
1033C22⋊Q8—42no—
1034C22⋊Q8—42no—
1035C22⋊Q8—42no—
1036C22⋊Q8—42no—
1037#121—24no—
1038#121—24no—
1039#121—42no—
1040#121—42no—
1041#121—42no—
1042#121—42no—
1043#120—24no—
1044#120—42no—
1045#120—42no—
1046C4×D4—42no—
1047C4×D4—42no—
1048C4×D4—42no—
1049C4×D4—42no—
1050#117—42no—
1051C2×C4⋊C4C23×C4311yescharacteristic
1052C2×C4⋊C4C23×C4311yescharacteristic
1053C2×C4⋊C4C23×C4311yescharacteristic
1054C2×C4⋊C4C23×C4311yescharacteristic
1055C2×C4⋊C4C23×C4311yescharacteristic
1056C2×C4⋊C4C23×C4311yescharacteristic
1057C2×C4⋊C4C23×C4311yescharacteristic
1058C2×C4⋊C4C23×C4311yescharacteristic
1059C2×C4⋊C4C23×C4311yescharacteristic
1060C2×C4⋊C4C23×C4311yescharacteristic
1061C2×C4⋊C4C23×C4311yescharacteristic
1062C2×C4⋊C4C23×C4311yescharacteristic
1063C2×C4⋊C4C23×C4311yescharacteristic
1064C2×C4⋊C4C23×C4311yescharacteristic
1065C2×C4⋊C4C23×C4311yescharacteristic
1066C2×C4⋊C4C23×C4311yescharacteristic
1067C2×C4⋊C4C23×C4311yescharacteristic
1068C2×C4⋊C4C23×C4311yescharacteristic
1069C2×C4⋊C4C23×C4311yescharacteristic
1070C2×C4⋊C4C23×C4311yescharacteristic
1071C2×C4⋊C4C23×C4311yescharacteristic
1072C2×C4⋊C4C23×C4311yescharacteristic
1073C2×C4⋊C4C23×C4311yescharacteristic
1074C2×C4⋊C4C23×C4311yescharacteristic
1075C2×C4⋊C4C23×C4311yescharacteristic
1076C2×C4⋊C4C23×C4311yescharacteristic
1077C2×C4⋊C4C23×C4311yescharacteristic
1078C2×C4⋊C4C23×C4311yescharacteristic
1079C2×C4⋊C4C23×C4311yescharacteristic
1080C2×C4⋊C4C23×C4311yescharacteristic
1081C2×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×C22⋊C4C23×C4311yescharacteristic
1108C2×C22⋊C4C23×C4311yescharacteristic
1109C2×C22⋊C4C23×C4311yescharacteristic
1110C2×C22⋊C4C23×C4311yescharacteristic
1111C2×C22⋊C4C23×C4311yescharacteristic
1112C2×C22⋊C4C23×C4311yescharacteristic
1113C2×C22⋊C4C23×C4311yescharacteristic
1114C2×C22⋊C4C23×C4311yescharacteristic
1115C2×C22⋊C4C23×C4311yescharacteristic
1116C2×C22⋊C4C23×C4311yescharacteristic
1117C2×C22⋊C4C23×C4311yescharacteristic
1118C2×C22⋊C4C23×C4311yescharacteristic
1119C2×C22⋊C4C23×C4311yescharacteristic
1120C2×C22⋊C4C23×C4311yescharacteristic
1121C2×C22⋊C4C23×C4311yescharacteristic
1122C2×C22⋊C4C23×C4311yescharacteristic
1123C2×C22⋊C4C23×C4311yescharacteristic
1124C2×C22⋊C4C23×C4311yescharacteristic
1125C2×C22⋊C4C23×C4311yescharacteristic
1126C2×C22⋊C4C23×C4311yescharacteristic
1127C2×C22⋊C4C23×C4311yescharacteristic
1128C2×C22⋊C4C23×C4311yescharacteristic
1129C2×C22⋊C4C23×C4311yescharacteristic
1130C2×C22⋊C4C23×C4311yescharacteristic
1131C2×C22⋊C4C23×C4311yescharacteristic
1132C2×C22⋊C4C23×C4311yescharacteristic
1133C2×C42C23×C4311yescharacteristic
1134C2×C42C23×C4311yescharacteristic
1135C2×C42C23×C4311yescharacteristic
1136C2×C42C23×C4311yescharacteristic
1137C2×C42C23×C4311yescharacteristic
1138C2×C42C23×C4311yescharacteristic
1139C2×C42C23×C4311yescharacteristic
1140#95C23×C4311yescharacteristic
1141#95C23×C4311yescharacteristic
1142#95C23×C4311yescharacteristic
1143#95C23×C4311yescharacteristic
1144#95C23×C4311yescharacteristic
1145#95C23×C4311yescharacteristic
1146#95C23×C4311yescharacteristic
1147#95C23×C4311yescharacteristic
1148#95C23×C4311yescharacteristic
1149#95C23×C4311yescharacteristic
1150#95C23×C4311yescharacteristic
1151#95C23×C4311yescharacteristic
1152#95C23×C4311yescharacteristic
1153#95C23×C4311yescharacteristic
1154#95C23×C4311yescharacteristic
1155#95C23×C4311yescharacteristic
1156#95C23×C4311yescharacteristic
1157#95C23×C4311yescharacteristic
1158#95C23×C4311yescharacteristic
1159#95C23×C4311yescharacteristic
1160#95C23×C4311yescharacteristic
1161#95C23×C4311yescharacteristic
1162#95C23×C4311yescharacteristic
1163#95C23×C4311yescharacteristic
1164#95C23×C4311yescharacteristic
1165#95C23×C4311yescharacteristic
1166#95C23×C4311yescharacteristic
1167#95C23×C4311yescharacteristic
1168#95C23×C4311yescharacteristic
1169#95C23×C4311yescharacteristic
1170#95C23×C4311yescharacteristic
1171#95C23×C4311yescharacteristic
1172#95C23×C4311yescharacteristic
1173#95C23×C4311yescharacteristic
1174#95C23×C4311yescharacteristic
1175#95C23×C4311yescharacteristic
1176#95C23×C4311yescharacteristic
1177#95C23×C4311yescharacteristic
1178#95C23×C4311yescharacteristic
1179#95C23×C4311yescharacteristic
1180C24—22no—
1181C24—22no—
1182C24—22no—
1183C24—41no—
1184C24—41no—
1185C24—41no—
1186C24—41no—
1187C24C24×C4311yescharacteristic
1188C24C24×C4311yescharacteristic
1189C24C24×C4311yescharacteristic
1190C24C24×C4311yescharacteristic
1191C24C24×C4311yescharacteristic
1192C24C24×C4311yescharacteristic
1193C2×Q8—22no—
1194C2×Q8—41no—
1195C2×Q8—41no—
1196C2×Q8—41no—
1197C2×Q8—41no—
1198C2×Q8—41no—
1199C2×D4—22no—
1200C2×D4—22no—
1201C2×D4—22no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—22no—
1210C2×D4—22no—
1211C2×D4—22no—
1212C2×D4—41no—
1213C2×D4—41no—
1214C2×D4—41no—
1215C2×D4—41no—
1216C2×D4—41no—
1217C2×D4—41no—
1218C2×D4—41no—
1219C2×D4—41no—
1220C2×D4—41no—
1221C2×D4—41no—
1222C2×D4—41no—
1223C2×D4—41no—
1224C2×D4—41no—
1225C2×D4—41no—
1226C2×D4—41no—
1227C2×D4—41no—
1228C2×D4—41no—
1229C2×D4—41no—
1230C2×D4—41no—
1231C2×D4—41no—
1232C2×D4—41no—
1233C2×D4—41no—
1234C2×D4#41×C4314yes—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—41no—
1248C22×C4—41no—
1249C22×C4—41no—
1250C22×C4—41no—
1251C22×C4—41no—
1252C22×C4—41no—
1253C22×C4—41no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—41no—
1257C22×C4—41no—
1258C22×C4—41no—
1259C22×C4—41no—
1260C22×C4—41no—
1261C22×C4—41no—
1262C22×C4—41no—
1263C22×C4—41no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—416no—
1269C22×C4C24×C4311yescharacteristic
1270C22×C4C24×C4311yescharacteristic
1271C22×C4C24×C4311yescharacteristic
1272C22×C4C24×C4311yescharacteristic
1273C22×C4C24×C4311yescharacteristic
1274C22×C4C24×C4311yescharacteristic
1275C22×C4C24×C4311yescharacteristic
1276C22×C4C24×C4311yescharacteristic
1277C22×C4C24×C4311yescharacteristic
1278C22×C4C24×C4311yescharacteristic
1279C22×C4C24×C4311yescharacteristic
1280C22×C4C24×C4311yescharacteristic
1281C22×C4C24×C4311yescharacteristic
1282C22×C4C24×C4311yescharacteristic
1283C22×C4C24×C4311yescharacteristic
1284C22×C4C24×C4311yescharacteristic
1285C22×C4C24×C4311yescharacteristic
1286C22×C4C24×C4311yescharacteristic
1287C22×C4C24×C4311yescharacteristic
1288C22×C4C24×C4311yescharacteristic
1289C22×C4C24×C4311yescharacteristic
1290C22×C4C24×C4311yescharacteristic
1291C22×C4C24×C4311yescharacteristic
1292C22×C4C24×C4311yescharacteristic
1293C22×C4C24×C4311yescharacteristic
1294C4⋊C4—22no—
1295C4⋊C4—22no—
1296C4⋊C4—22no—
1297C4⋊C4—22no—
1298C4⋊C4—22no—
1299C4⋊C4—22no—
1300C4⋊C4—22no—
1301C4⋊C4—22no—
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—41no—
1305C4⋊C4—41no—
1306C4⋊C4—41no—
1307C4⋊C4—41no—
1308C4⋊C4—41no—
1309C4⋊C4—41no—
1310C4⋊C4—41no—
1311C4⋊C4—41no—
1312C4⋊C4—41no—
1313C4⋊C4—41no—
1314C4⋊C4—41no—
1315C4⋊C4—41no—
1316C4⋊C4—41no—
1317C4⋊C4—41no—
1318C4⋊C4—41no—
1319C4⋊C4—41no—
1320C4⋊C4—41no—
1321C4⋊C4—41no—
1322C4⋊C4—41no—
1323C4⋊C4—41no—
1324C22⋊C4—22no—
1325C22⋊C4—22no—
1326C22⋊C4—22no—
1327C22⋊C4—22no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—22no—
1340C22⋊C4—22no—
1341C22⋊C4—22no—
1342C22⋊C4—22no—
1343C22⋊C4—41no—
1344C22⋊C4—41no—
1345C22⋊C4—41no—
1346C22⋊C4—41no—
1347C22⋊C4—41no—
1348C22⋊C4—41no—
1349C22⋊C4—41no—
1350C22⋊C4—41no—
1351C22⋊C4—41no—
1352C22⋊C4—41no—
1353C22⋊C4—41no—
1354C22⋊C4—41no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
1363C22⋊C4—41no—
1364C22⋊C4—41no—
1365C22⋊C4—41no—
1366C22⋊C4—41no—
1367C22⋊C4—41no—
1368C22⋊C4—41no—
1369C22⋊C4—41no—
1370C22⋊C4—41no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4—41no—
1374C22⋊C4—41no—
1375C22⋊C4—41no—
1376C42—22no—
1377C42—41no—
1378C42—41no—
1379C42—41no—
1380C42—41no—
1381C42—41no—
1382C42—41no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—44no—
1422C23—44no—
1423C23—44no—
1424C23—44no—
1425C23—44no—
1426C23—44no—
1427C23—44no—
1428C23C2×#41×C4312yes—
1429C23C2×#41×C4312yes—
1430C23H(5,𝔽2)×C4312yes—
1431C232−1+4×C4312yes—
1432C23C25×C4311yescharacteristic
1433Q8—82no—
1434Q8—82no—
1435D4—44no—
1436D4—44no—
1437D4—44no—
1438D4—44no—
1439D4—82no—
1440D4—82no—
1441D4—82no—
1442D4—82no—
1443D4—82no—
1444D4—82no—
1445D4—82no—
1446D4—82no—
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—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—44no—
1519C2×C4—44no—
1520C2×C4—44no—
1521C2×C4—44no—
1522C2×C4—44no—
1523C2×C4—44no—
1524C2×C4—44no—
1525C2×C4—82no—
1526C2×C4—82no—
1527C2×C4—82no—
1528C2×C4—82no—
1529C2×C4C2×#41×C4312yes—
1530C2×C4H(5,𝔽2)×C4312yes—
1531C2×C4H(5,𝔽2)×C4312yes—
1532C2×C4H(5,𝔽2)×C4312yes—
1533C22—22no—
1534C22—22no—
1535C22—22no—
1536C22—22no—
1537C22—22no—
1538C22—22no—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—416no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22C22×#41×C4311yescharacteristic
1577C22C2×H(5,𝔽2)×C4311yescharacteristic
1578C22C2×H(5,𝔽2)×C4311yescharacteristic
1579C22C2×H(5,𝔽2)×C4311yescharacteristic
1580C22C2×H(5,𝔽2)×C4311yescharacteristic
1581C22C2×2−1+4×C4311yescharacteristic
1582C22C43×#58511yescharacteristic
1583C4—22no—
1584C4—22no—
1585C4—22no—
1586C4—22no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C2—42no—
1609C2—42no—
1610C2—42no—
1611C2—42no—
1612C2—81no—
1613C2—81no—
1614C2C43×#345911yescharacteristic
1615C2C43×#351911yescharacteristic
1616C2C43×#352011yescharacteristic
1617C2C43×#353211yescharacteristic
1618C2C43×#353611yescharacteristic
1619C2C43×#354111yescharacteristic
1620C2C43×#354211yescharacteristic
subgroupG/H
center, socleC23×C43C25
commutator, Frattini, cosocleC23C25×C43
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C43 ◁ G

Complements

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

NH ≅ G/Ntype
1. C43×#2848C2semidirect
2. C43×#2847C2semidirect
3. C43×#2787C2semidirect
4. C43×#2784C2semidirect
5. C43×#2778C2semidirect
6. C43×#2747C2semidirect
7. C43×#2732C2semidirect
8. C43×#2708C2semidirect
9. C43×#2696C2semidirect
10. C43×#2695C2semidirect
11. C43×#2692C2semidirect
12. C43×#2685C2semidirect
13. C43×#2684C2semidirect
14. C43×#2681C2semidirect
15. C43×#2678C2semidirect
16. C43×#2676C2semidirect
17. C43×#2671C2semidirect
18. C43×#2668C2semidirect
19. C43×#2653C2semidirect
20. C43×#2649C2semidirect
21. C43×#2522C2semidirect
22. C43×#2521C2semidirect
23. C43×#2477C2semidirect
24. C43×#2476C2semidirect
25. C43×#2463C2semidirect
26. C43×#2456C2semidirect
27. C43×#2450C2semidirect
28. C43×#2425C2semidirect
29. C43×#2325C2semidirect
30. C43×#2324C2semidirect
31. C4×#120×C43C2semidirect
36. C2×#123×C43C22semidirect
37. C2×#123×C43C22semidirect
41. C2×C22⋊Q8×C43C22semidirect
42. C2×C22⋊Q8×C43C22semidirect
55. C2×C4×D4×C43C22semidirect
56. C2×#117×C43C22semidirect
57. C43×#401C22semidirect
58. C43×#400C22semidirect
59. C43×#400C22semidirect
60. C43×#400C22semidirect
61. C43×#400C22semidirect
64. C43×#399C22semidirect
65. C43×#398C22semidirect
66. C43×#398C22semidirect
67. C43×#398C22semidirect
68. C43×#398C22semidirect
69. C43×#398C22semidirect
70. C43×#398C22semidirect
76. C43×#397C22semidirect
77. C43×#397C22semidirect
80. C43×#396C22semidirect
81. C43×#396C22semidirect
82. C43×#396C22semidirect
83. C43×#395C22semidirect
94. C43×#394C22semidirect
95. C43×#394C22semidirect
98. C43×#393C22semidirect
99. C43×#393C22semidirect
100. C43×#393C22semidirect
104. C43×#392C22semidirect
105. C43×#391C22semidirect
106. C43×#391C22semidirect
111. C43×#390C22semidirect
112. C43×#389C22semidirect
113. C43×#389C22semidirect
114. C43×#389C22semidirect
121. C43×#388C22semidirect
122. C43×#388C22semidirect
123. C43×#388C22semidirect
124. C43×#388C22semidirect
125. C43×#388C22semidirect
126. C43×#388C22semidirect
127. C43×#388C22semidirect
128. C43×#387C22semidirect
129. C43×#387C22semidirect
130. C43×#387C22semidirect
131. C43×#387C22semidirect
132. C43×#387C22semidirect
133. C43×#387C22semidirect
134. C43×#387C22semidirect
135. C43×#387C22semidirect
136. C43×#387C22semidirect
154. C43×#386C22semidirect
155. C43×#386C22semidirect
156. C43×#386C22semidirect
166. C43×#385C22semidirect
167. C43×#385C22semidirect
168. C43×#385C22semidirect
169. C43×#385C22semidirect
170. C43×#385C22semidirect
177. C43×#380C22semidirect
178. C43×#380C22semidirect
182. C4×C4⋊C4×C43C22semidirect
186. C2×#95×C43C22semidirect
722. #36901C43direct (N × H)
798. #2848C2×C43semidirect
799. #2847C2×C43semidirect
800. #2787C2×C43semidirect
801. #2784C2×C43semidirect
802. #2778C2×C43semidirect
803. #2747C2×C43semidirect
804. #2732C2×C43semidirect
805. #2708C2×C43semidirect
806. #2696C2×C43semidirect
807. #2695C2×C43semidirect
808. #2692C2×C43semidirect
809. #2685C2×C43semidirect
810. #2684C2×C43semidirect
811. #2681C2×C43semidirect
812. #2678C2×C43semidirect
813. #2676C2×C43semidirect
814. #2671C2×C43semidirect
815. #2668C2×C43semidirect
816. #2653C2×C43semidirect
817. #2649C2×C43semidirect
818. #2522C2×C43semidirect
819. #2521C2×C43semidirect
820. #2477C2×C43semidirect
821. #2476C2×C43semidirect
822. #2463C2×C43semidirect
823. #2456C2×C43semidirect
824. #2450C2×C43semidirect
825. #2425C2×C43semidirect
826. #2325C2×C43semidirect
827. #2324C2×C43semidirect
828. C4×#120C2×C43semidirect
846. C2×#123C22×C43semidirect
847. C2×#123C22×C43semidirect
851. C2×C22⋊Q8C22×C43semidirect
852. C2×C22⋊Q8C22×C43semidirect
865. C2×C4×D4C22×C43semidirect
866. C2×#117C22×C43semidirect
867. #401C22×C43semidirect
868. #400C22×C43semidirect
869. #400C22×C43semidirect
870. #400C22×C43semidirect
871. #400C22×C43semidirect
874. #399C22×C43semidirect
875. #398C22×C43semidirect
876. #398C22×C43semidirect
877. #398C22×C43semidirect
878. #398C22×C43semidirect
879. #398C22×C43semidirect
880. #398C22×C43semidirect
886. #397C22×C43semidirect
887. #397C22×C43semidirect
890. #396C22×C43semidirect
891. #396C22×C43semidirect
892. #396C22×C43semidirect
893. #395C22×C43semidirect
904. #394C22×C43semidirect
905. #394C22×C43semidirect
908. #393C22×C43semidirect
909. #393C22×C43semidirect
910. #393C22×C43semidirect
914. #392C22×C43semidirect
915. #391C22×C43semidirect
916. #391C22×C43semidirect
921. #390C22×C43semidirect
922. #389C22×C43semidirect
923. #389C22×C43semidirect
924. #389C22×C43semidirect
931. #388C22×C43semidirect
932. #388C22×C43semidirect
933. #388C22×C43semidirect
934. #388C22×C43semidirect
935. #388C22×C43semidirect
936. #388C22×C43semidirect
937. #388C22×C43semidirect
938. #387C22×C43semidirect
939. #387C22×C43semidirect
940. #387C22×C43semidirect
941. #387C22×C43semidirect
942. #387C22×C43semidirect
943. #387C22×C43semidirect
944. #387C22×C43semidirect
945. #387C22×C43semidirect
946. #387C22×C43semidirect
964. #386C22×C43semidirect
965. #386C22×C43semidirect
966. #386C22×C43semidirect
976. #385C22×C43semidirect
977. #385C22×C43semidirect
978. #385C22×C43semidirect
979. #385C22×C43semidirect
980. #385C22×C43semidirect
987. #380C22×C43semidirect
988. #380C22×C43semidirect
992. C4×C4⋊C4C22×C43semidirect
996. C2×#95C22×C43semidirect
997. C43#36901direct (N × H)

Maximal subgroups

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

subgroupindex
C43×#28482
C43×#28472
C43×#27872
C43×#27842
C43×#27782
C43×#27472
C43×#27322
C43×#27082
C43×#26962
C43×#26952
C43×#26922
C43×#26852
C43×#26842
C43×#26812
C43×#26782
C43×#26762
C43×#26712
C43×#26682
C43×#26532
C43×#26492
C43×#25222
C43×#25212
C43×#24772
C43×#24762
C43×#24632
C43×#24562
C43×#24502
C43×#24252
C43×#23252
C43×#23242
C4×#120×C432
#3690143