Finite Group Databasebeta

← C43×#36733 #24956750

Subgroups — C43×#36733 #24956750

Order 11008.

1790 conjugacy classes of subgroups.

The subgroup lattice has 1458 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C43×#2849C211yesmaximal, characteristic
2C43×#2848C211yesmaximal, characteristic, complemented
3C43×#2745C211yesmaximal, characteristic, complemented
4C43×#2745C211yesmaximal, characteristic, complemented
5C43×#2744C211yesmaximal, characteristic, complemented
6C43×#2743C211yesmaximal, characteristic, complemented
7C43×#2742C211yesmaximal, characteristic, complemented
8C43×#2741C211yesmaximal, characteristic, complemented
9C43×#2736C211yesmaximal, characteristic, complemented
10C43×#2735C211yesmaximal, characteristic, complemented
11C43×#2707C211yesmaximal, characteristic, complemented
12C43×#2700C211yesmaximal, characteristic, complemented
13C43×#2698C211yesmaximal, characteristic, complemented
14C43×#2692C211yesmaximal, characteristic, complemented
15C43×#2690C211yesmaximal, characteristic, complemented
16C43×#2687C211yesmaximal, characteristic, complemented
17C43×#2685C211yesmaximal, characteristic
18C43×#2684C211yesmaximal, characteristic
19C43×#2665C211yesmaximal, characteristic, complemented
20C43×#2663C211yesmaximal, characteristic, complemented
21C43×#2595C211yesmaximal, characteristic, complemented
22C43×#2589C211yesmaximal, characteristic, complemented
23C43×#2589C211yesmaximal, characteristic, complemented
24C43×#2576C211yesmaximal, characteristic, complemented
25C43×#2478C211yesmaximal, characteristic, complemented
26C43×#2477C211yesmaximal, characteristic, complemented
27C43×#2475C211yesmaximal, characteristic, complemented
28C43×#2474C211yesmaximal, characteristic, complemented
29C43×#2335C211yesmaximal, characteristic, complemented
30C43×#2332C211yesmaximal, characteristic, complemented
31C43×#2280C211yesmaximal, characteristic, complemented
32C24×C4×C43C2211yescharacteristic
33C2×#126×C43C2211yescharacteristic
34C2×#125×C43C2211yescharacteristic, complemented
35C2×#124×C43C2211yescharacteristic
36C2×#123×C43C2211yescharacteristic
37C2×#123×C43C2211yescharacteristic
38C2×C22⋊Q8×C43C2211yescharacteristic
39C2×C22⋊Q8×C43C2211yescharacteristic
40C2×C22⋊Q8×C43C2211yescharacteristic
41C2×C22⋊Q8×C43C2211yescharacteristic, complemented
42C2×#120×C43C2211yescharacteristic
43C2×#117×C43C2211yescharacteristic
44C2×#117×C43C2211yescharacteristic
45C43×#401C2211yescharacteristic, complemented
46C43×#400C2211yescharacteristic, complemented
47C43×#400C2211yescharacteristic, complemented
48C43×#400C2211yescharacteristic, complemented
49C43×#400C2211yescharacteristic, complemented
50C43×#400C2211yescharacteristic, complemented
51C43×#400C2211yescharacteristic, complemented
52C43×#400C2211yescharacteristic, complemented
53C43×#400C2211yescharacteristic, complemented
54C43×#399C2211yescharacteristic
55C43×#399C2211yescharacteristic
56C43×#399C2211yescharacteristic, complemented
57C43×#398C2211yescharacteristic, complemented
58C43×#398C2211yescharacteristic, complemented
59C43×#398C2211yescharacteristic, complemented
60C43×#398C2211yescharacteristic, complemented
61C43×#398C2211yescharacteristic, complemented
62C43×#397C2211yescharacteristic
63C43×#397C2211yescharacteristic
64C43×#397C2211yescharacteristic
65C43×#397C2211yescharacteristic
66C43×#397C2211yescharacteristic
67C43×#397C2211yescharacteristic
68C43×#397C2211yescharacteristic
69C43×#397C2211yescharacteristic
70C43×#397C2211yescharacteristic, complemented
71C43×#397C2211yescharacteristic, complemented
72C43×#396C2211yescharacteristic
73C43×#396C2211yescharacteristic
74C43×#396C2211yescharacteristic
75C43×#396C2211yescharacteristic, complemented
76C43×#396C2211yescharacteristic, complemented
77C43×#395C2211yescharacteristic, complemented
78C43×#395C2211yescharacteristic, complemented
79C43×#395C2211yescharacteristic, complemented
80C43×#395C2211yescharacteristic, complemented
81C43×#394C2211yescharacteristic
82C43×#394C2211yescharacteristic
83C43×#394C2211yescharacteristic
84C43×#394C2211yescharacteristic
85C43×#394C2211yescharacteristic
86C43×#394C2211yescharacteristic
87C43×#393C2211yescharacteristic
88C43×#393C2211yescharacteristic
89C43×#393C2211yescharacteristic
90C43×#393C2211yescharacteristic
91C43×#393C2211yescharacteristic
92C43×#393C2211yescharacteristic, complemented
93C43×#391C2211yescharacteristic, complemented
94C43×#391C2211yescharacteristic, complemented
95C43×#391C2211yescharacteristic, complemented
96C43×#391C2211yescharacteristic, complemented
97C43×#391C2211yescharacteristic, complemented
98C43×#391C2211yescharacteristic, complemented
99C43×#390C2211yescharacteristic
100C43×#390C2211yescharacteristic
101C43×#389C2211yescharacteristic, complemented
102C43×#389C2211yescharacteristic, complemented
103C43×#389C2211yescharacteristic, complemented
104C43×#389C2211yescharacteristic, complemented
105C43×#388C2211yescharacteristic
106C43×#388C2211yescharacteristic
107C43×#388C2211yescharacteristic
108C43×#388C2211yescharacteristic
109C43×#388C2211yescharacteristic
110C43×#388C2211yescharacteristic
111C43×#388C2211yescharacteristic
112C43×#388C2211yescharacteristic
113C43×#388C2211yescharacteristic
114C43×#388C2211yescharacteristic
115C43×#388C2211yescharacteristic
116C43×#388C2211yescharacteristic
117C43×#388C2211yescharacteristic
118C43×#388C2211yescharacteristic
119C43×#388C2211yescharacteristic
120C43×#388C2211yescharacteristic
121C43×#388C2211yescharacteristic
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×#387C2211yescharacteristic, complemented
138C43×#387C2211yescharacteristic, complemented
139C43×#387C2211yescharacteristic, complemented
140C43×#387C2211yescharacteristic, complemented
141C43×#387C2211yescharacteristic, complemented
142C43×#387C2211yescharacteristic, complemented
143C43×#386C2211yescharacteristic
144C43×#386C2211yescharacteristic
145C43×#386C2211yescharacteristic
146C43×#386C2211yescharacteristic
147C43×#386C2211yescharacteristic
148C43×#386C2211yescharacteristic
149C43×#386C2211yescharacteristic
150C43×#385C2211yescharacteristic
151C43×#385C2211yescharacteristic
152C43×#385C2211yescharacteristic
153C43×#385C2211yescharacteristic
154C43×#385C2211yescharacteristic
155C43×#385C2211yescharacteristic
156C43×#385C2211yescharacteristic
157C43×#385C2211yescharacteristic
158C43×#385C2211yescharacteristic
159C43×#385C2211yescharacteristic
160C43×#385C2211yescharacteristic, complemented
161C43×#382C2211yescharacteristic, complemented
162C43×#381C2211yescharacteristic
163C43×#381C2211yescharacteristic
164C43×#381C2211yescharacteristic
165C43×#381C2211yescharacteristic
166C43×#381C2211yescharacteristic, complemented
167C43×#380C2211yescharacteristic
168C43×#380C2211yescharacteristic
169C43×#380C2211yescharacteristic
170C43×#380C2211yescharacteristic
171C43×#380C2211yescharacteristic
172C43×#380C2211yescharacteristic
173C43×#380C2211yescharacteristic
174C43×#379C2211yescharacteristic
175C43×#379C2211yescharacteristic
176C43×#379C2211yescharacteristic
177C43×#379C2211yescharacteristic
178C43×#379C2211yescharacteristic
179C4×C4⋊C4×C43C2211yescharacteristic, complemented
180C4×C4⋊C4×C43C2211yescharacteristic, complemented
181C4×C4⋊C4×C43C2211yescharacteristic, complemented
182C4×C22⋊C4×C43C2211yescharacteristic
183C4×C22⋊C4×C43C2211yescharacteristic
184C4×C22⋊C4×C43C2211yescharacteristic
185C4×C22⋊C4×C43C2211yescharacteristic
186C4×C22⋊C4×C43C2211yescharacteristic, complemented
187C25×C43C2311yescharacteristic
188C22×Q8×C43C2311yescharacteristic
189C22×Q8×C43C2311yescharacteristic
190C22×Q8×C43C2311yescharacteristic
191C22×D4×C43C2311yescharacteristic
192C22×D4×C43C2311yescharacteristic
193C22×D4×C43C2311yescharacteristic
194C23×C4×C43—24no—
195C23×C4×C43—42no—
196C23×C4×C43—42no—
197C23×C4×C43C2311yescharacteristic
198C23×C4×C43C2311yescharacteristic
199C23×C4×C43C2311yescharacteristic
200C23×C4×C43C2311yescharacteristic
201C23×C4×C43C2311yescharacteristic
202C23×C4×C43C2311yescharacteristic
203C23×C4×C43C2311yescharacteristic
204#126×C43—42no—
205#125×C43—42no—
206#124×C43—42no—
207#123×C43—24no—
208#123×C43—42no—
209C22⋊Q8×C43—24no—
210C22⋊Q8×C43—42no—
211C22⋊Q8×C43—42no—
212C22⋊Q8×C43—42no—
213#120×C43—42no—
214#117×C43—42no—
215#117×C43—42no—
216C2×C4⋊C4×C43C2311yescharacteristic
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×C4⋊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×C22⋊C4×C43C2311yescharacteristic
292C2×C22⋊C4×C43C2311yescharacteristic
293C2×C22⋊C4×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×C43—22no—
358C24×C43—22no—
359C24×C43—22no—
360C24×C43—41no—
361C24×C43—41no—
362C24×C43—41no—
363C24×C43—41no—
364C24×C43C2411yescharacteristic
365C24×C43C2411yescharacteristic
366C24×C43C2411yescharacteristic
367C24×C43C2411yescharacteristic
368C2×Q8×C43—22no—
369C2×Q8×C43—41no—
370C2×Q8×C43—41no—
371C2×Q8×C43—41no—
372C2×Q8×C43—41no—
373C2×Q8×C43—41no—
374C2×Q8×C43—41no—
375C2×Q8×C43—41no—
376C2×Q8×C43—41no—
377C2×D4×C43—22no—
378C2×D4×C43—22no—
379C2×D4×C43—22no—
380C2×D4×C43—41no—
381C2×D4×C43—41no—
382C2×D4×C43—41no—
383C2×D4×C43—41no—
384C2×D4×C43—41no—
385C2×D4×C43—41no—
386C22×C4×C43—22no—
387C22×C4×C43—22no—
388C22×C4×C43—22no—
389C22×C4×C43—22no—
390C22×C4×C43—22no—
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—416no—
407C22×C4×C43#4114yes—
408C22×C4×C43C2411yescharacteristic
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
435C4⋊C4×C43—22no—
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—41no—
446C4⋊C4×C43—41no—
447C4⋊C4×C43—41no—
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—
468C4⋊C4×C43—41no—
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—22no—
481C22⋊C4×C43—22no—
482C22⋊C4×C43—22no—
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—41no—
510C22⋊C4×C43—41no—
511C22⋊C4×C43—41no—
512C22⋊C4×C43—41no—
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—
523C42×C43—41no—
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—44no—
550C23×C43—44no—
551C23×C43—44no—
552C23×C43—44no—
553C23×C43—44no—
554C23×C43—44no—
555C23×C43—44no—
556C23×C43C2×#4112yes—
557C23×C43H(5,𝔽2)12yes—
558C23×C432−1+412yes—
559C23×C43C2511yescharacteristic
560Q8×C43—82no—
561Q8×C43—82no—
562Q8×C43—82no—
563D4×C43—82no—
564D4×C43—82no—
565D4×C43—82no—
566C2×C4×C43—28no—
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—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—44no—
646C2×C4×C43—44no—
647C2×C4×C43—44no—
648C2×C4×C43—44no—
649C2×C4×C43—44no—
650C2×C4×C43—82no—
651C2×C4×C43C2×#4112yes—
652C2×C4×C43C2×#4112yes—
653C2×C4×C43H(5,𝔽2)12yes—
654#36733C4311yesmaximal, characteristic, direct product factor, Sylow
655C22×C43—22no—
656C22×C43—22no—
657C22×C43—22no—
658C22×C43—22no—
659C22×C43—22no—
660C22×C43—22no—
661C22×C43—22no—
662C22×C43—22no—
663C22×C43—22no—
664C22×C43—416no—
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×C43—41no—
679C22×C43—41no—
680C22×C43—41no—
681C22×C43—41no—
682C22×C43—41no—
683C22×C43—41no—
684C22×C43C22×#4111yescharacteristic
685C22×C43C2×H(5,𝔽2)11yescharacteristic
686C22×C43C2×H(5,𝔽2)11yescharacteristic
687C22×C43C2×2−1+411yescharacteristic
688C22×C43#58511yescharacteristic
689C22×C43#58511yescharacteristic
690C22×C43#58511yescharacteristic
691C4×C43—22no—
692C4×C43—22no—
693C4×C43—22no—
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—
712C4×C43—41no—
713C4×C43—41no—
714C4×C43—41no—
715C4×C43—41no—
716C4×C43—41no—
717C4×C43—41no—
718#2849C2×C4311yescharacteristic
719#2848C2×C4311yescharacteristic, complemented
720#2745C2×C4311yescharacteristic, complemented
721#2745C2×C4311yescharacteristic, complemented
722#2744C2×C4311yescharacteristic, complemented
723#2743C2×C4311yescharacteristic, complemented
724#2742C2×C4311yescharacteristic, complemented
725#2741C2×C4311yescharacteristic, complemented
726#2736C2×C4311yescharacteristic, complemented
727#2735C2×C4311yescharacteristic, complemented
728#2707C2×C4311yescharacteristic, complemented
729#2700C2×C4311yescharacteristic, complemented
730#2698C2×C4311yescharacteristic, complemented
731#2692C2×C4311yescharacteristic, complemented
732#2690C2×C4311yescharacteristic, complemented
733#2687C2×C4311yescharacteristic, complemented
734#2685C2×C4311yescharacteristic
735#2684C2×C4311yescharacteristic
736#2665C2×C4311yescharacteristic, complemented
737#2663C2×C4311yescharacteristic, complemented
738#2595C2×C4311yescharacteristic, complemented
739#2589C2×C4311yescharacteristic, complemented
740#2589C2×C4311yescharacteristic, complemented
741#2576C2×C4311yescharacteristic, complemented
742#2478C2×C4311yescharacteristic, complemented
743#2477C2×C4311yescharacteristic, complemented
744#2475C2×C4311yescharacteristic, complemented
745#2474C2×C4311yescharacteristic, complemented
746#2335C2×C4311yescharacteristic, complemented
747#2332C2×C4311yescharacteristic, complemented
748#2280C2×C4311yescharacteristic, complemented
749C2×C43—42no—
750C2×C43—42no—
751C2×C43—42no—
752C2×C43—81no—
753C2×C43#345511yescharacteristic
754C2×C43#349011yescharacteristic
755C2×C43#349511yescharacteristic
756C2×C43#353311yescharacteristic
757C2×C43#353511yescharacteristic
758C2×C43#354011yescharacteristic
759C2×C43#354111yescharacteristic
760C24×C4C22×C4311yescharacteristic
761C2×#126C22×C4311yescharacteristic
762C2×#125C22×C4311yescharacteristic, complemented
763C2×#124C22×C4311yescharacteristic
764C2×#123C22×C4311yescharacteristic
765C2×#123C22×C4311yescharacteristic
766C2×C22⋊Q8C22×C4311yescharacteristic
767C2×C22⋊Q8C22×C4311yescharacteristic
768C2×C22⋊Q8C22×C4311yescharacteristic
769C2×C22⋊Q8C22×C4311yescharacteristic, complemented
770C2×#120C22×C4311yescharacteristic
771C2×#117C22×C4311yescharacteristic
772C2×#117C22×C4311yescharacteristic
773#401C22×C4311yescharacteristic, complemented
774#400C22×C4311yescharacteristic, complemented
775#400C22×C4311yescharacteristic, complemented
776#400C22×C4311yescharacteristic, complemented
777#400C22×C4311yescharacteristic, complemented
778#400C22×C4311yescharacteristic, complemented
779#400C22×C4311yescharacteristic, complemented
780#400C22×C4311yescharacteristic, complemented
781#400C22×C4311yescharacteristic, complemented
782#399C22×C4311yescharacteristic
783#399C22×C4311yescharacteristic
784#399C22×C4311yescharacteristic, complemented
785#398C22×C4311yescharacteristic, complemented
786#398C22×C4311yescharacteristic, complemented
787#398C22×C4311yescharacteristic, complemented
788#398C22×C4311yescharacteristic, complemented
789#398C22×C4311yescharacteristic, complemented
790#397C22×C4311yescharacteristic
791#397C22×C4311yescharacteristic
792#397C22×C4311yescharacteristic
793#397C22×C4311yescharacteristic
794#397C22×C4311yescharacteristic
795#397C22×C4311yescharacteristic
796#397C22×C4311yescharacteristic
797#397C22×C4311yescharacteristic
798#397C22×C4311yescharacteristic, complemented
799#397C22×C4311yescharacteristic, complemented
800#396C22×C4311yescharacteristic
801#396C22×C4311yescharacteristic
802#396C22×C4311yescharacteristic
803#396C22×C4311yescharacteristic, complemented
804#396C22×C4311yescharacteristic, complemented
805#395C22×C4311yescharacteristic, complemented
806#395C22×C4311yescharacteristic, complemented
807#395C22×C4311yescharacteristic, complemented
808#395C22×C4311yescharacteristic, complemented
809#394C22×C4311yescharacteristic
810#394C22×C4311yescharacteristic
811#394C22×C4311yescharacteristic
812#394C22×C4311yescharacteristic
813#394C22×C4311yescharacteristic
814#394C22×C4311yescharacteristic
815#393C22×C4311yescharacteristic
816#393C22×C4311yescharacteristic
817#393C22×C4311yescharacteristic
818#393C22×C4311yescharacteristic
819#393C22×C4311yescharacteristic
820#393C22×C4311yescharacteristic, complemented
821#391C22×C4311yescharacteristic, complemented
822#391C22×C4311yescharacteristic, complemented
823#391C22×C4311yescharacteristic, complemented
824#391C22×C4311yescharacteristic, complemented
825#391C22×C4311yescharacteristic, complemented
826#391C22×C4311yescharacteristic, complemented
827#390C22×C4311yescharacteristic
828#390C22×C4311yescharacteristic
829#389C22×C4311yescharacteristic, complemented
830#389C22×C4311yescharacteristic, complemented
831#389C22×C4311yescharacteristic, complemented
832#389C22×C4311yescharacteristic, complemented
833#388C22×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, complemented
851#388C22×C4311yescharacteristic, complemented
852#388C22×C4311yescharacteristic, complemented
853#388C22×C4311yescharacteristic, complemented
854#388C22×C4311yescharacteristic, complemented
855#388C22×C4311yescharacteristic, complemented
856#387C22×C4311yescharacteristic, complemented
857#387C22×C4311yescharacteristic, complemented
858#387C22×C4311yescharacteristic, complemented
859#387C22×C4311yescharacteristic, complemented
860#387C22×C4311yescharacteristic, complemented
861#387C22×C4311yescharacteristic, complemented
862#387C22×C4311yescharacteristic, complemented
863#387C22×C4311yescharacteristic, complemented
864#387C22×C4311yescharacteristic, complemented
865#387C22×C4311yescharacteristic, complemented
866#387C22×C4311yescharacteristic, complemented
867#387C22×C4311yescharacteristic, complemented
868#387C22×C4311yescharacteristic, complemented
869#387C22×C4311yescharacteristic, complemented
870#387C22×C4311yescharacteristic, complemented
871#386C22×C4311yescharacteristic
872#386C22×C4311yescharacteristic
873#386C22×C4311yescharacteristic
874#386C22×C4311yescharacteristic
875#386C22×C4311yescharacteristic
876#386C22×C4311yescharacteristic
877#386C22×C4311yescharacteristic
878#385C22×C4311yescharacteristic
879#385C22×C4311yescharacteristic
880#385C22×C4311yescharacteristic
881#385C22×C4311yescharacteristic
882#385C22×C4311yescharacteristic
883#385C22×C4311yescharacteristic
884#385C22×C4311yescharacteristic
885#385C22×C4311yescharacteristic
886#385C22×C4311yescharacteristic
887#385C22×C4311yescharacteristic
888#385C22×C4311yescharacteristic, complemented
889#382C22×C4311yescharacteristic, complemented
890#381C22×C4311yescharacteristic
891#381C22×C4311yescharacteristic
892#381C22×C4311yescharacteristic
893#381C22×C4311yescharacteristic
894#381C22×C4311yescharacteristic, complemented
895#380C22×C4311yescharacteristic
896#380C22×C4311yescharacteristic
897#380C22×C4311yescharacteristic
898#380C22×C4311yescharacteristic
899#380C22×C4311yescharacteristic
900#380C22×C4311yescharacteristic
901#380C22×C4311yescharacteristic
902#379C22×C4311yescharacteristic
903#379C22×C4311yescharacteristic
904#379C22×C4311yescharacteristic
905#379C22×C4311yescharacteristic
906#379C22×C4311yescharacteristic
907C4×C4⋊C4C22×C4311yescharacteristic, complemented
908C4×C4⋊C4C22×C4311yescharacteristic, complemented
909C4×C4⋊C4C22×C4311yescharacteristic, complemented
910C4×C22⋊C4C22×C4311yescharacteristic
911C4×C22⋊C4C22×C4311yescharacteristic
912C4×C22⋊C4C22×C4311yescharacteristic
913C4×C22⋊C4C22×C4311yescharacteristic
914C4×C22⋊C4C22×C4311yescharacteristic, complemented
915C43#3673311yescharacteristic, direct product factor, Sylow
916C25C23×C4311yescharacteristic
917C22×Q8C23×C4311yescharacteristic
918C22×Q8C23×C4311yescharacteristic
919C22×Q8C23×C4311yescharacteristic
920C22×D4C23×C4311yescharacteristic
921C22×D4C23×C4311yescharacteristic
922C22×D4C23×C4311yescharacteristic
923C23×C4—24no—
924C23×C4—42no—
925C23×C4—42no—
926C23×C4C23×C4311yescharacteristic
927C23×C4C23×C4311yescharacteristic
928C23×C4C23×C4311yescharacteristic
929C23×C4C23×C4311yescharacteristic
930C23×C4C23×C4311yescharacteristic
931C23×C4C23×C4311yescharacteristic
932C23×C4C23×C4311yescharacteristic
933#126—42no—
934#125—42no—
935#124—42no—
936#123—24no—
937#123—42no—
938C22⋊Q8—24no—
939C22⋊Q8—42no—
940C22⋊Q8—42no—
941C22⋊Q8—42no—
942#120—42no—
943#117—42no—
944#117—42no—
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×C4⋊C4C23×C4311yescharacteristic
973C2×C4⋊C4C23×C4311yescharacteristic
974C2×C4⋊C4C23×C4311yescharacteristic
975C2×C4⋊C4C23×C4311yescharacteristic
976C2×C4⋊C4C23×C4311yescharacteristic
977C2×C4⋊C4C23×C4311yescharacteristic
978C2×C4⋊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×C22⋊C4C23×C4311yescharacteristic
1015C2×C22⋊C4C23×C4311yescharacteristic
1016C2×C22⋊C4C23×C4311yescharacteristic
1017C2×C22⋊C4C23×C4311yescharacteristic
1018C2×C22⋊C4C23×C4311yescharacteristic
1019C2×C22⋊C4C23×C4311yescharacteristic
1020C2×C22⋊C4C23×C4311yescharacteristic
1021C2×C22⋊C4C23×C4311yescharacteristic
1022C2×C22⋊C4C23×C4311yescharacteristic
1023C2×C42C23×C4311yescharacteristic
1024C2×C42C23×C4311yescharacteristic
1025C2×C42C23×C4311yescharacteristic
1026C2×C42C23×C4311yescharacteristic
1027C2×C42C23×C4311yescharacteristic
1028C2×C42C23×C4311yescharacteristic
1029C2×C42C23×C4311yescharacteristic
1030C2×C42C23×C4311yescharacteristic
1031C2×C42C23×C4311yescharacteristic
1032C2×C42C23×C4311yescharacteristic
1033C2×C42C23×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
1080#95C23×C4311yescharacteristic
1081#95C23×C4311yescharacteristic
1082#95C23×C4311yescharacteristic
1083#95C23×C4311yescharacteristic
1084#95C23×C4311yescharacteristic
1085#95C23×C4311yescharacteristic
1086C24—22no—
1087C24—22no—
1088C24—22no—
1089C24—41no—
1090C24—41no—
1091C24—41no—
1092C24—41no—
1093C24C24×C4311yescharacteristic
1094C24C24×C4311yescharacteristic
1095C24C24×C4311yescharacteristic
1096C24C24×C4311yescharacteristic
1097C2×Q8—22no—
1098C2×Q8—41no—
1099C2×Q8—41no—
1100C2×Q8—41no—
1101C2×Q8—41no—
1102C2×Q8—41no—
1103C2×Q8—41no—
1104C2×Q8—41no—
1105C2×Q8—41no—
1106C2×D4—22no—
1107C2×D4—22no—
1108C2×D4—22no—
1109C2×D4—41no—
1110C2×D4—41no—
1111C2×D4—41no—
1112C2×D4—41no—
1113C2×D4—41no—
1114C2×D4—41no—
1115C22×C4—22no—
1116C22×C4—22no—
1117C22×C4—22no—
1118C22×C4—22no—
1119C22×C4—22no—
1120C22×C4—22no—
1121C22×C4—22no—
1122C22×C4—22no—
1123C22×C4—22no—
1124C22×C4—22no—
1125C22×C4—41no—
1126C22×C4—41no—
1127C22×C4—41no—
1128C22×C4—41no—
1129C22×C4—41no—
1130C22×C4—41no—
1131C22×C4—41no—
1132C22×C4—41no—
1133C22×C4—41no—
1134C22×C4—41no—
1135C22×C4—416no—
1136C22×C4#41×C4314yes—
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
1159C22×C4C24×C4311yescharacteristic
1160C22×C4C24×C4311yescharacteristic
1161C22×C4C24×C4311yescharacteristic
1162C22×C4C24×C4311yescharacteristic
1163C22×C4C24×C4311yescharacteristic
1164C4⋊C4—22no—
1165C4⋊C4—22no—
1166C4⋊C4—22no—
1167C4⋊C4—22no—
1168C4⋊C4—22no—
1169C4⋊C4—22no—
1170C4⋊C4—22no—
1171C4⋊C4—22no—
1172C4⋊C4—22no—
1173C4⋊C4—22no—
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—
1191C4⋊C4—41no—
1192C4⋊C4—41no—
1193C4⋊C4—41no—
1194C4⋊C4—41no—
1195C4⋊C4—41no—
1196C4⋊C4—41no—
1197C4⋊C4—41no—
1198C22⋊C4—22no—
1199C22⋊C4—22no—
1200C22⋊C4—22no—
1201C22⋊C4—22no—
1202C22⋊C4—22no—
1203C22⋊C4—22no—
1204C22⋊C4—22no—
1205C22⋊C4—22no—
1206C22⋊C4—22no—
1207C22⋊C4—22no—
1208C22⋊C4—22no—
1209C22⋊C4—22no—
1210C22⋊C4—22no—
1211C22⋊C4—22no—
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—41no—
1233C22⋊C4—41no—
1234C22⋊C4—41no—
1235C22⋊C4—41no—
1236C22⋊C4—41no—
1237C22⋊C4—41no—
1238C22⋊C4—41no—
1239C22⋊C4—41no—
1240C22⋊C4—41no—
1241C22⋊C4—41no—
1242C42—41no—
1243C42—41no—
1244C42—41no—
1245C42—41no—
1246C42—41no—
1247C42—41no—
1248C42—41no—
1249C42—41no—
1250C42—41no—
1251C42—41no—
1252C42—41no—
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—
1273C23—21no—
1274C23—21no—
1275C23—21no—
1276C23—21no—
1277C23—21no—
1278C23—44no—
1279C23—44no—
1280C23—44no—
1281C23—44no—
1282C23—44no—
1283C23—44no—
1284C23—44no—
1285C23C2×#41×C4312yes—
1286C23H(5,𝔽2)×C4312yes—
1287C232−1+4×C4312yes—
1288C23C25×C4311yescharacteristic
1289Q8—82no—
1290Q8—82no—
1291Q8—82no—
1292D4—82no—
1293D4—82no—
1294D4—82no—
1295C2×C4—28no—
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—21no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—44no—
1375C2×C4—44no—
1376C2×C4—44no—
1377C2×C4—44no—
1378C2×C4—44no—
1379C2×C4—82no—
1380C2×C4C2×#41×C4312yes—
1381C2×C4C2×#41×C4312yes—
1382C2×C4H(5,𝔽2)×C4312yes—
1383C22—22no—
1384C22—22no—
1385C22—22no—
1386C22—22no—
1387C22—22no—
1388C22—22no—
1389C22—22no—
1390C22—22no—
1391C22—22no—
1392C22—416no—
1393C22—41no—
1394C22—41no—
1395C22—41no—
1396C22—41no—
1397C22—41no—
1398C22—41no—
1399C22—41no—
1400C22—41no—
1401C22—41no—
1402C22—41no—
1403C22—41no—
1404C22—41no—
1405C22—41no—
1406C22—41no—
1407C22—41no—
1408C22—41no—
1409C22—41no—
1410C22—41no—
1411C22—41no—
1412C22C22×#41×C4311yescharacteristic
1413C22C2×H(5,𝔽2)×C4311yescharacteristic
1414C22C2×H(5,𝔽2)×C4311yescharacteristic
1415C22C2×2−1+4×C4311yescharacteristic
1416C22C43×#58511yescharacteristic
1417C22C43×#58511yescharacteristic
1418C22C43×#58511yescharacteristic
1419C4—22no—
1420C4—22no—
1421C4—22no—
1422C4—41no—
1423C4—41no—
1424C4—41no—
1425C4—41no—
1426C4—41no—
1427C4—41no—
1428C4—41no—
1429C4—41no—
1430C4—41no—
1431C4—41no—
1432C4—41no—
1433C4—41no—
1434C4—41no—
1435C4—41no—
1436C4—41no—
1437C4—41no—
1438C4—41no—
1439C4—41no—
1440C4—41no—
1441C4—41no—
1442C4—41no—
1443C4—41no—
1444C4—41no—
1445C4—41no—
1446C2—42no—
1447C2—42no—
1448C2—42no—
1449C2—81no—
1450C2C43×#345511yescharacteristic
1451C2C43×#349011yescharacteristic
1452C2C43×#349511yescharacteristic
1453C2C43×#353311yescharacteristic
1454C2C43×#353511yescharacteristic
1455C2C43×#354011yescharacteristic
1456C2C43×#354111yescharacteristic
subgroupG/H
center, socleC23×C43C25
commutator, Frattini, cosocleC23C25×C43
prime radicalC2×#120×C43C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C43 ◁ G

Complements

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

NH ≅ G/Ntype
2. C43×#2848C2semidirect
3. C43×#2745C2semidirect
4. C43×#2745C2semidirect
5. C43×#2744C2semidirect
6. C43×#2743C2semidirect
7. C43×#2742C2semidirect
8. C43×#2741C2semidirect
9. C43×#2736C2semidirect
10. C43×#2735C2semidirect
11. C43×#2707C2semidirect
12. C43×#2700C2semidirect
13. C43×#2698C2semidirect
14. C43×#2692C2semidirect
15. C43×#2690C2semidirect
16. C43×#2687C2semidirect
19. C43×#2665C2semidirect
20. C43×#2663C2semidirect
21. C43×#2595C2semidirect
22. C43×#2589C2semidirect
23. C43×#2589C2semidirect
24. C43×#2576C2semidirect
25. C43×#2478C2semidirect
26. C43×#2477C2semidirect
27. C43×#2475C2semidirect
28. C43×#2474C2semidirect
29. C43×#2335C2semidirect
30. C43×#2332C2semidirect
31. C43×#2280C2semidirect
34. C2×#125×C43C22semidirect
41. C2×C22⋊Q8×C43C22semidirect
45. C43×#401C22semidirect
46. C43×#400C22semidirect
47. C43×#400C22semidirect
48. C43×#400C22semidirect
49. C43×#400C22semidirect
50. C43×#400C22semidirect
51. C43×#400C22semidirect
52. C43×#400C22semidirect
53. C43×#400C22semidirect
56. C43×#399C22semidirect
57. C43×#398C22semidirect
58. C43×#398C22semidirect
59. C43×#398C22semidirect
60. C43×#398C22semidirect
61. C43×#398C22semidirect
70. C43×#397C22semidirect
71. C43×#397C22semidirect
75. C43×#396C22semidirect
76. C43×#396C22semidirect
77. C43×#395C22semidirect
78. C43×#395C22semidirect
79. C43×#395C22semidirect
80. C43×#395C22semidirect
92. C43×#393C22semidirect
93. C43×#391C22semidirect
94. C43×#391C22semidirect
95. C43×#391C22semidirect
96. C43×#391C22semidirect
97. C43×#391C22semidirect
98. C43×#391C22semidirect
101. C43×#389C22semidirect
102. C43×#389C22semidirect
103. C43×#389C22semidirect
104. C43×#389C22semidirect
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
137. C43×#387C22semidirect
138. C43×#387C22semidirect
139. C43×#387C22semidirect
140. C43×#387C22semidirect
141. C43×#387C22semidirect
142. C43×#387C22semidirect
160. C43×#385C22semidirect
161. C43×#382C22semidirect
166. C43×#381C22semidirect
179. C4×C4⋊C4×C43C22semidirect
180. C4×C4⋊C4×C43C22semidirect
181. C4×C4⋊C4×C43C22semidirect
186. C4×C22⋊C4×C43C22semidirect
654. #36733C43direct (N × H)
719. #2848C2×C43semidirect
720. #2745C2×C43semidirect
721. #2745C2×C43semidirect
722. #2744C2×C43semidirect
723. #2743C2×C43semidirect
724. #2742C2×C43semidirect
725. #2741C2×C43semidirect
726. #2736C2×C43semidirect
727. #2735C2×C43semidirect
728. #2707C2×C43semidirect
729. #2700C2×C43semidirect
730. #2698C2×C43semidirect
731. #2692C2×C43semidirect
732. #2690C2×C43semidirect
733. #2687C2×C43semidirect
736. #2665C2×C43semidirect
737. #2663C2×C43semidirect
738. #2595C2×C43semidirect
739. #2589C2×C43semidirect
740. #2589C2×C43semidirect
741. #2576C2×C43semidirect
742. #2478C2×C43semidirect
743. #2477C2×C43semidirect
744. #2475C2×C43semidirect
745. #2474C2×C43semidirect
746. #2335C2×C43semidirect
747. #2332C2×C43semidirect
748. #2280C2×C43semidirect
762. C2×#125C22×C43semidirect
769. C2×C22⋊Q8C22×C43semidirect
773. #401C22×C43semidirect
774. #400C22×C43semidirect
775. #400C22×C43semidirect
776. #400C22×C43semidirect
777. #400C22×C43semidirect
778. #400C22×C43semidirect
779. #400C22×C43semidirect
780. #400C22×C43semidirect
781. #400C22×C43semidirect
784. #399C22×C43semidirect
785. #398C22×C43semidirect
786. #398C22×C43semidirect
787. #398C22×C43semidirect
788. #398C22×C43semidirect
789. #398C22×C43semidirect
798. #397C22×C43semidirect
799. #397C22×C43semidirect
803. #396C22×C43semidirect
804. #396C22×C43semidirect
805. #395C22×C43semidirect
806. #395C22×C43semidirect
807. #395C22×C43semidirect
808. #395C22×C43semidirect
820. #393C22×C43semidirect
821. #391C22×C43semidirect
822. #391C22×C43semidirect
823. #391C22×C43semidirect
824. #391C22×C43semidirect
825. #391C22×C43semidirect
826. #391C22×C43semidirect
829. #389C22×C43semidirect
830. #389C22×C43semidirect
831. #389C22×C43semidirect
832. #389C22×C43semidirect
850. #388C22×C43semidirect
851. #388C22×C43semidirect
852. #388C22×C43semidirect
853. #388C22×C43semidirect
854. #388C22×C43semidirect
855. #388C22×C43semidirect
856. #387C22×C43semidirect
857. #387C22×C43semidirect
858. #387C22×C43semidirect
859. #387C22×C43semidirect
860. #387C22×C43semidirect
861. #387C22×C43semidirect
862. #387C22×C43semidirect
863. #387C22×C43semidirect
864. #387C22×C43semidirect
865. #387C22×C43semidirect
866. #387C22×C43semidirect
867. #387C22×C43semidirect
868. #387C22×C43semidirect
869. #387C22×C43semidirect
870. #387C22×C43semidirect
888. #385C22×C43semidirect
889. #382C22×C43semidirect
894. #381C22×C43semidirect
907. C4×C4⋊C4C22×C43semidirect
908. C4×C4⋊C4C22×C43semidirect
909. C4×C4⋊C4C22×C43semidirect
914. C4×C22⋊C4C22×C43semidirect
915. C43#36733direct (N × H)

Maximal subgroups

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

subgroupindex
C43×#28492
C43×#28482
C43×#27452
C43×#27442
C43×#27432
C43×#27422
C43×#27412
C43×#27362
C43×#27352
C43×#27072
C43×#27002
C43×#26982
C43×#26922
C43×#26902
C43×#26872
C43×#26852
C43×#26842
C43×#26652
C43×#26632
C43×#25952
C43×#25892
C43×#25762
C43×#24782
C43×#24772
C43×#24752
C43×#24742
C43×#23352
C43×#23322
C43×#22802
#3673343