Finite Group Databasebeta

← C43×#35068 #24955085

Subgroups — C43×#35068 #24955085

Order 11008.

1968 conjugacy classes of subgroups.

The subgroup lattice has 1536 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C43×#2865C211yesmaximal, characteristic, complemented
2C43×#2861C211yesmaximal, characteristic, complemented
3C43×#2854C211yesmaximal, characteristic, complemented
4C43×#2852C211yesmaximal, characteristic, complemented
5C43×#2654C211yesmaximal, characteristic, complemented
6C43×#2653C211yesmaximal, characteristic, complemented
7C43×#2651C211yesmaximal, characteristic, complemented
8C43×#2648C211yesmaximal, characteristic, complemented
9C43×#2595C211yesmaximal, characteristic, complemented
10C43×#2594C211yesmaximal, characteristic, complemented
11C43×#2558C211yesmaximal, characteristic, complemented
12C43×#2557C211yesmaximal, characteristic, complemented
13C43×#2532C211yesmaximal, characteristic, complemented
14C43×#2531C211yesmaximal, characteristic, complemented
15C43×#2510C211yesmaximal, characteristic, complemented
16C43×#2480C211yesmaximal, characteristic, complemented
17C43×#2479C211yesmaximal, characteristic, complemented
18C43×#2476C211yesmaximal, characteristic, complemented
19C43×#2473C211yesmaximal, characteristic, complemented
20C43×#2472C211yesmaximal, characteristic, complemented
21C43×#2450C211yesmaximal, characteristic, complemented
22C43×#2443C211yesmaximal, characteristic, complemented
23C43×#2424C211yesmaximal, characteristic
24C43×#2418C211yesmaximal, characteristic, complemented
25C43×#2329C211yesmaximal, characteristic, complemented
26C43×#2325C211yesmaximal, characteristic, complemented
27C43×#2321C211yesmaximal, characteristic, complemented
28C43×#2321C211yesmaximal, characteristic, complemented
29C43×#2290C211yesmaximal, characteristic, complemented
30C2×C43×#388C211yesmaximal, characteristic, complemented
31C42×D4×C43C211yesmaximal, characteristic, complemented
32C2×#126×C43C2211yescharacteristic
33C2×#125×C43C2211yescharacteristic, complemented
34C2×#124×C43C2211yescharacteristic
35C2×#123×C43C2211yescharacteristic
36C2×#123×C43C2211yescharacteristic, complemented
37C2×C22⋊Q8×C43C2211yescharacteristic
38C2×#121×C43C2211yescharacteristic
39C2×#121×C43C2211yescharacteristic
40C2×#120×C43C2211yescharacteristic
41C2×#120×C43C2211yescharacteristic
42C2×C4×D4×C43C2211yescharacteristic
43C2×C4×D4×C43C2211yescharacteristic
44C2×C4×D4×C43C2211yescharacteristic
45C2×C4×D4×C43C2211yescharacteristic
46C2×#117×C43C2211yescharacteristic, complemented
47C22×C4⋊C4×C43C2211yescharacteristic
48C22×C22⋊C4×C43C2211yescharacteristic
49C22×C22⋊C4×C43C2211yescharacteristic
50C22×C22⋊C4×C43C2211yescharacteristic
51C22×C42×C43C2211yescharacteristic
52C22×C42×C43C2211yescharacteristic, complemented
53C43×#401C2211yescharacteristic, complemented
54C43×#400C2211yescharacteristic, complemented
55C43×#400C2211yescharacteristic, complemented
56C43×#400C2211yescharacteristic, complemented
57C43×#399C2211yescharacteristic
58C43×#399C2211yescharacteristic, complemented
59C43×#398C2211yescharacteristic, complemented
60C43×#398C2211yescharacteristic, complemented
61C43×#398C2211yescharacteristic, complemented
62C43×#398C2211yescharacteristic, complemented
63C43×#398C2211yescharacteristic, complemented
64C43×#397C2211yescharacteristic
65C43×#397C2211yescharacteristic
66C43×#397C2211yescharacteristic
67C43×#397C2211yescharacteristic
68C43×#397C2211yescharacteristic
69C43×#397C2211yescharacteristic, complemented
70C43×#397C2211yescharacteristic, complemented
71C43×#397C2211yescharacteristic, complemented
72C43×#396C2211yescharacteristic
73C43×#396C2211yescharacteristic
74C43×#396C2211yescharacteristic, complemented
75C43×#394C2211yescharacteristic
76C43×#394C2211yescharacteristic
77C43×#394C2211yescharacteristic
78C43×#394C2211yescharacteristic
79C43×#394C2211yescharacteristic
80C43×#394C2211yescharacteristic
81C43×#394C2211yescharacteristic, complemented
82C43×#393C2211yescharacteristic
83C43×#393C2211yescharacteristic, complemented
84C43×#392C2211yescharacteristic
85C43×#391C2211yescharacteristic, complemented
86C43×#391C2211yescharacteristic, complemented
87C43×#391C2211yescharacteristic, complemented
88C43×#390C2211yescharacteristic
89C43×#390C2211yescharacteristic
90C43×#390C2211yescharacteristic
91C43×#390C2211yescharacteristic
92C43×#390C2211yescharacteristic
93C43×#390C2211yescharacteristic
94C43×#389C2211yescharacteristic, complemented
95C43×#389C2211yescharacteristic, complemented
96C43×#389C2211yescharacteristic, complemented
97C43×#388C2211yescharacteristic
98C43×#388C2211yescharacteristic
99C43×#388C2211yescharacteristic
100C43×#388C2211yescharacteristic
101C43×#388C2211yescharacteristic
102C43×#388C2211yescharacteristic
103C43×#388C2211yescharacteristic
104C43×#388C2211yescharacteristic
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, 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×#387C2211yescharacteristic, complemented
138C43×#387C2211yescharacteristic, complemented
139C43×#387C2211yescharacteristic, complemented
140C43×#387C2211yescharacteristic, complemented
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, complemented
154C43×#386C2211yescharacteristic, complemented
155C43×#385C2211yescharacteristic
156C43×#385C2211yescharacteristic
157C43×#385C2211yescharacteristic
158C43×#385C2211yescharacteristic
159C43×#385C2211yescharacteristic
160C43×#385C2211yescharacteristic
161C43×#385C2211yescharacteristic, complemented
162C43×#385C2211yescharacteristic, complemented
163C43×#385C2211yescharacteristic, complemented
164C43×#385C2211yescharacteristic, complemented
165C43×#383C2211yescharacteristic, complemented
166C43×#380C2211yescharacteristic
167C43×#380C2211yescharacteristic
168C43×#380C2211yescharacteristic, complemented
169C43×#379C2211yescharacteristic
170C43×#379C2211yescharacteristic
171C4×C4⋊C4×C43C2211yescharacteristic, complemented
172C4×C4⋊C4×C43C2211yescharacteristic, complemented
173C4×C4⋊C4×C43C2211yescharacteristic, complemented
174C4×C4⋊C4×C43C2211yescharacteristic, complemented
175C4×C22⋊C4×C43C2211yescharacteristic
176C4×C22⋊C4×C43C2211yescharacteristic
177C4×C22⋊C4×C43C2211yescharacteristic
178C4×C22⋊C4×C43C2211yescharacteristic
179C4×C22⋊C4×C43C2211yescharacteristic, complemented
180C4×C22⋊C4×C43C2211yescharacteristic, complemented
181C4×C22⋊C4×C43C2211yescharacteristic, complemented
182C4×C22⋊C4×C43C2211yescharacteristic, complemented
183C43×#376C2211yescharacteristic, complemented
184C2×#95×C43C2211yescharacteristic
185C2×#95×C43C2211yescharacteristic
186C43×C43C2211yescharacteristic, complemented
187C25×C43C2311yescharacteristic
188C22×Q8×C43C2311yescharacteristic
189C22×D4×C43C2311yescharacteristic
190C22×D4×C43C2311yescharacteristic
191C22×D4×C43C2311yescharacteristic
192C22×D4×C43C2311yescharacteristic
193C22×D4×C43C2311yescharacteristic
194C22×D4×C43C2311yescharacteristic
195C22×D4×C43C2311yescharacteristic
196C23×C4×C43C2311yescharacteristic
197C23×C4×C43C2311yescharacteristic
198C23×C4×C43C2311yescharacteristic
199C23×C4×C43C2311yescharacteristic
200C23×C4×C43C2311yescharacteristic
201C23×C4×C43C2311yescharacteristic
202C23×C4×C43C2311yescharacteristic
203C23×C4×C43C2311yescharacteristic
204C23×C4×C43C2311yescharacteristic
205C23×C4×C43C2311yescharacteristic
206#126×C43—42no—
207#125×C43—42no—
208#124×C43—42no—
209#123×C43—42no—
210#123×C43—42no—
211C22⋊Q8×C43—24no—
212#121×C43—24no—
213#121×C43—42no—
214#120×C43—24no—
215#120×C43—24no—
216C4×D4×C43—24no—
217C4×D4×C43—24no—
218C4×D4×C43—24no—
219C4×D4×C43—24no—
220#117×C43—42no—
221C2×C4⋊C4×C43—42no—
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×C43—24no—
251C2×C22⋊C4×C43—42no—
252C2×C22⋊C4×C43—42no—
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×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×C42×C43—42no—
302C2×C42×C43—42no—
303C2×C42×C43C2311yescharacteristic
304C2×C42×C43C2311yescharacteristic
305C2×C42×C43C2311yescharacteristic
306C2×C42×C43C2311yescharacteristic
307C2×C42×C43C2311yescharacteristic
308C2×C42×C43C2311yescharacteristic
309C2×C42×C43C2311yescharacteristic
310C2×C42×C43C2311yescharacteristic
311C2×C42×C43C2311yescharacteristic
312C2×C42×C43C2311yescharacteristic
313C2×C42×C43C2311yescharacteristic
314C2×C42×C43C2311yescharacteristic
315C2×C42×C43C2311yescharacteristic
316C2×C42×C43C2311yescharacteristic
317C2×C42×C43C2311yescharacteristic
318C2×C42×C43C2311yescharacteristic
319#95×C43C2311yescharacteristic
320#95×C43C2311yescharacteristic
321#95×C43C2311yescharacteristic
322#95×C43C2311yescharacteristic
323#95×C43C2311yescharacteristic
324#95×C43C2311yescharacteristic
325#95×C43C2311yescharacteristic
326#95×C43C2311yescharacteristic
327#95×C43C2311yescharacteristic
328#95×C43C2311yescharacteristic
329#95×C43C2311yescharacteristic
330#95×C43C2311yescharacteristic
331#95×C43C2311yescharacteristic
332#95×C43C2311yescharacteristic
333#95×C43C2311yescharacteristic
334#95×C43C2311yescharacteristic
335#95×C43C2311yescharacteristic
336#95×C43C2311yescharacteristic
337#95×C43C2311yescharacteristic
338#95×C43C2311yescharacteristic
339#95×C43C2311yescharacteristic
340#95×C43C2311yescharacteristic
341#95×C43C2311yescharacteristic
342#95×C43C2311yescharacteristic
343#95×C43C2311yescharacteristic
344#95×C43C2311yescharacteristic
345#95×C43C2311yescharacteristic
346#95×C43C2311yescharacteristic
347#95×C43C2311yescharacteristic
348#95×C43C2311yescharacteristic
349#95×C43C2311yescharacteristic
350#95×C43C2311yescharacteristic
351#95×C43C2311yescharacteristic
352#95×C43C2311yescharacteristic
353#95×C43C2311yescharacteristic
354#95×C43C2311yescharacteristic
355#95×C43C2311yescharacteristic
356#95×C43C2311yescharacteristic
357#95×C43C2311yescharacteristic
358#95×C43C2311yescharacteristic
359#95×C43C2311yescharacteristic
360#95×C43C2311yescharacteristic
361#95×C43C2311yescharacteristic
362#95×C43C2311yescharacteristic
363C24×C43—22no—
364C24×C43—22no—
365C24×C43—22no—
366C24×C43—41no—
367C24×C43—41no—
368C24×C43—41no—
369C24×C43—41no—
370C24×C43C2411yescharacteristic
371C24×C43C2411yescharacteristic
372C24×C43C2411yescharacteristic
373C24×C43C2411yescharacteristic
374C24×C43C2411yescharacteristic
375C2×Q8×C43—22no—
376C2×Q8×C43—41no—
377C2×Q8×C43—41no—
378C2×D4×C43—22no—
379C2×D4×C43—22no—
380C2×D4×C43—22no—
381C2×D4×C43—22no—
382C2×D4×C43—22no—
383C2×D4×C43—22no—
384C2×D4×C43—22no—
385C2×D4×C43—22no—
386C2×D4×C43—22no—
387C2×D4×C43—22no—
388C2×D4×C43—41no—
389C2×D4×C43—41no—
390C2×D4×C43—41no—
391C2×D4×C43—41no—
392C2×D4×C43—41no—
393C2×D4×C43—41no—
394C2×D4×C43—41no—
395C2×D4×C43—41no—
396C2×D4×C43—41no—
397C2×D4×C43—41no—
398C2×D4×C43#4114yes—
399C22×C4×C43—22no—
400C22×C4×C43—22no—
401C22×C4×C43—22no—
402C22×C4×C43—22no—
403C22×C4×C43—22no—
404C22×C4×C43—22no—
405C22×C4×C43—22no—
406C22×C4×C43—22no—
407C22×C4×C43—22no—
408C22×C4×C43—22no—
409C22×C4×C43—22no—
410C22×C4×C43—22no—
411C22×C4×C43—22no—
412C22×C4×C43—41no—
413C22×C4×C43—41no—
414C22×C4×C43—41no—
415C22×C4×C43—41no—
416C22×C4×C43—41no—
417C22×C4×C43—41no—
418C22×C4×C43—41no—
419C22×C4×C43—41no—
420C22×C4×C43—41no—
421C22×C4×C43—41no—
422C22×C4×C43—41no—
423C22×C4×C43—41no—
424C22×C4×C43—41no—
425C22×C4×C43—41no—
426C22×C4×C43—41no—
427C22×C4×C43—41no—
428C22×C4×C43#4114yes—
429C22×C4×C43C2411yescharacteristic
430C22×C4×C43C2411yescharacteristic
431C22×C4×C43C2411yescharacteristic
432C22×C4×C43C2411yescharacteristic
433C22×C4×C43C2411yescharacteristic
434C22×C4×C43C2411yescharacteristic
435C22×C4×C43C2411yescharacteristic
436C22×C4×C43C2411yescharacteristic
437C22×C4×C43C2411yescharacteristic
438C22×C4×C43C2411yescharacteristic
439C22×C4×C43C2411yescharacteristic
440C22×C4×C43C2411yescharacteristic
441C22×C4×C43C2411yescharacteristic
442C22×C4×C43C2411yescharacteristic
443C22×C4×C43C2411yescharacteristic
444C22×C4×C43C2411yescharacteristic
445C22×C4×C43C2411yescharacteristic
446C22×C4×C43C2411yescharacteristic
447C22×C4×C43C2411yescharacteristic
448C22×C4×C43C2411yescharacteristic
449C22×C4×C43C2411yescharacteristic
450C22×C4×C43C2411yescharacteristic
451C22×C4×C43C2411yescharacteristic
452C22×C4×C43C2411yescharacteristic
453C22×C4×C43C2411yescharacteristic
454C22×C4×C43C2411yescharacteristic
455C4⋊C4×C43—22no—
456C4⋊C4×C43—22no—
457C4⋊C4×C43—22no—
458C4⋊C4×C43—22no—
459C4⋊C4×C43—22no—
460C4⋊C4×C43—22no—
461C4⋊C4×C43—22no—
462C4⋊C4×C43—22no—
463C4⋊C4×C43—22no—
464C4⋊C4×C43—22no—
465C4⋊C4×C43—22no—
466C4⋊C4×C43—22no—
467C4⋊C4×C43—41no—
468C4⋊C4×C43—41no—
469C4⋊C4×C43—41no—
470C4⋊C4×C43—41no—
471C4⋊C4×C43—41no—
472C4⋊C4×C43—41no—
473C4⋊C4×C43—41no—
474C4⋊C4×C43—41no—
475C4⋊C4×C43—41no—
476C4⋊C4×C43—41no—
477C4⋊C4×C43—41no—
478C4⋊C4×C43—41no—
479C4⋊C4×C43—41no—
480C4⋊C4×C43—41no—
481C4⋊C4×C43—41no—
482C4⋊C4×C43—41no—
483C22⋊C4×C43—22no—
484C22⋊C4×C43—22no—
485C22⋊C4×C43—22no—
486C22⋊C4×C43—22no—
487C22⋊C4×C43—22no—
488C22⋊C4×C43—22no—
489C22⋊C4×C43—22no—
490C22⋊C4×C43—22no—
491C22⋊C4×C43—22no—
492C22⋊C4×C43—22no—
493C22⋊C4×C43—22no—
494C22⋊C4×C43—22no—
495C22⋊C4×C43—22no—
496C22⋊C4×C43—22no—
497C22⋊C4×C43—22no—
498C22⋊C4×C43—22no—
499C22⋊C4×C43—22no—
500C22⋊C4×C43—22no—
501C22⋊C4×C43—22no—
502C22⋊C4×C43—22no—
503C22⋊C4×C43—22no—
504C22⋊C4×C43—22no—
505C22⋊C4×C43—22no—
506C22⋊C4×C43—22no—
507C22⋊C4×C43—22no—
508C22⋊C4×C43—41no—
509C22⋊C4×C43—41no—
510C22⋊C4×C43—41no—
511C22⋊C4×C43—41no—
512C22⋊C4×C43—41no—
513C22⋊C4×C43—41no—
514C22⋊C4×C43—41no—
515C22⋊C4×C43—41no—
516C22⋊C4×C43—41no—
517C22⋊C4×C43—41no—
518C22⋊C4×C43—41no—
519C22⋊C4×C43—41no—
520C22⋊C4×C43—41no—
521C22⋊C4×C43—41no—
522C22⋊C4×C43—41no—
523C22⋊C4×C43—41no—
524C22⋊C4×C43—41no—
525C22⋊C4×C43—41no—
526C22⋊C4×C43—41no—
527C22⋊C4×C43—41no—
528C22⋊C4×C43—41no—
529C22⋊C4×C43—41no—
530C22⋊C4×C43#4114yes—
531C42×C43—22no—
532C42×C43—22no—
533C42×C43—22no—
534C42×C43—22no—
535C42×C43—22no—
536C42×C43—22no—
537C42×C43—22no—
538C42×C43—22no—
539C42×C43—41no—
540C42×C43—41no—
541C42×C43—41no—
542C42×C43—41no—
543C42×C43—41no—
544C42×C43—41no—
545C42×C43—41no—
546C42×C43—41no—
547C23×C43—21no—
548C23×C43—21no—
549C23×C43—21no—
550C23×C43—21no—
551C23×C43—21no—
552C23×C43—21no—
553C23×C43—21no—
554C23×C43—21no—
555C23×C43—21no—
556C23×C43—21no—
557C23×C43—21no—
558C23×C43—21no—
559C23×C43—21no—
560C23×C43—21no—
561C23×C43—21no—
562C23×C43—21no—
563C23×C43—21no—
564C23×C43—21no—
565C23×C43—21no—
566C23×C43—21no—
567C23×C43—21no—
568C23×C43—21no—
569C23×C43—21no—
570C23×C43—21no—
571C23×C43—21no—
572C23×C43—21no—
573C23×C43—21no—
574C23×C43—21no—
575C23×C43—21no—
576C23×C43—21no—
577C23×C43—21no—
578C23×C43—44no—
579C23×C43—44no—
580C23×C43—44no—
581C23×C43—82no—
582C23×C43—82no—
583C23×C43—82no—
584C23×C43—82no—
585C23×C43C2×#4112yes—
586C23×C43C2×#4112yes—
587C23×C43C2×#4112yes—
588C23×C43C2×#4112yes—
589C23×C43C2511yescharacteristic
590Q8×C43—82no—
591D4×C43—28no—
592D4×C43—44no—
593D4×C43—82no—
594D4×C43—82no—
595D4×C43—82no—
596D4×C43—82no—
597D4×C43—82no—
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—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—44no—
670C2×C4×C43—44no—
671C2×C4×C43—44no—
672C2×C4×C43—44no—
673C2×C4×C43—44no—
674C2×C4×C43—44no—
675C2×C4×C43—44no—
676C2×C4×C43—44no—
677C2×C4×C43—82no—
678C2×C4×C43—82no—
679C2×C4×C43C2×#4112yes—
680C2×C4×C43C2×#4112yes—
681C2×C4×C43C2×#4112yes—
682C2×C4×C43C2×#4112yes—
683C2×C4×C43C2×#4112yes—
684C2×C4×C43H(5,𝔽2)12yes—
685C2×C4×C43H(5,𝔽2)12yes—
686#35068C4311yesmaximal, characteristic, direct product factor, Sylow
687C22×C43—22no—
688C22×C43—22no—
689C22×C43—22no—
690C22×C43—22no—
691C22×C43—22no—
692C22×C43—22no—
693C22×C43—22no—
694C22×C43—22no—
695C22×C43—22no—
696C22×C43—41no—
697C22×C43—41no—
698C22×C43—41no—
699C22×C43—41no—
700C22×C43—41no—
701C22×C43—41no—
702C22×C43—41no—
703C22×C43—41no—
704C22×C43—41no—
705C22×C43—41no—
706C22×C43—41no—
707C22×C43—41no—
708C22×C43—41no—
709C22×C43—41no—
710C22×C43—41no—
711C22×C43—41no—
712C22×C43—41no—
713C22×C43—41no—
714C22×C43—41no—
715C22×C43—41no—
716C22×C43—41no—
717C22×C43—41no—
718C22×C43—41no—
719C22×C43—41no—
720C22×C43—41no—
721C22×C43—88no—
722C22×C43#52914yes—
723C22×C43C22×#4111yescharacteristic
724C22×C43C22×#4111yescharacteristic
725C22×C43C22×#4111yescharacteristic
726C22×C43C2×H(5,𝔽2)11yescharacteristic
727C22×C43C2×H(5,𝔽2)11yescharacteristic
728C22×C43#58511yescharacteristic
729C22×C43#58511yescharacteristic
730C4×C43—22no—
731C4×C43—22no—
732C4×C43—22no—
733C4×C43—22no—
734C4×C43—22no—
735C4×C43—22no—
736C4×C43—22no—
737C4×C43—41no—
738C4×C43—41no—
739C4×C43—41no—
740C4×C43—41no—
741C4×C43—41no—
742C4×C43—41no—
743C4×C43—41no—
744C4×C43—41no—
745C4×C43—41no—
746C4×C43—41no—
747C4×C43—41no—
748C4×C43—41no—
749C4×C43—41no—
750C4×C43—41no—
751C4×C43—41no—
752C4×C43—41no—
753C4×C43—41no—
754C4×C43—41no—
755C4×C43—41no—
756#2865C2×C4311yescharacteristic, complemented
757#2861C2×C4311yescharacteristic, complemented
758#2854C2×C4311yescharacteristic, complemented
759#2852C2×C4311yescharacteristic, complemented
760#2654C2×C4311yescharacteristic, complemented
761#2653C2×C4311yescharacteristic, complemented
762#2651C2×C4311yescharacteristic, complemented
763#2648C2×C4311yescharacteristic, complemented
764#2595C2×C4311yescharacteristic, complemented
765#2594C2×C4311yescharacteristic, complemented
766#2558C2×C4311yescharacteristic, complemented
767#2557C2×C4311yescharacteristic, complemented
768#2532C2×C4311yescharacteristic, complemented
769#2531C2×C4311yescharacteristic, complemented
770#2510C2×C4311yescharacteristic, complemented
771#2480C2×C4311yescharacteristic, complemented
772#2479C2×C4311yescharacteristic, complemented
773#2476C2×C4311yescharacteristic, complemented
774#2473C2×C4311yescharacteristic, complemented
775#2472C2×C4311yescharacteristic, complemented
776#2450C2×C4311yescharacteristic, complemented
777#2443C2×C4311yescharacteristic, complemented
778#2424C2×C4311yescharacteristic
779#2418C2×C4311yescharacteristic, complemented
780#2329C2×C4311yescharacteristic, complemented
781#2325C2×C4311yescharacteristic, complemented
782#2321C2×C4311yescharacteristic, complemented
783#2321C2×C4311yescharacteristic, complemented
784#2290C2×C4311yescharacteristic, complemented
785C2×#388C2×C4311yescharacteristic, complemented
786C42×D4C2×C4311yescharacteristic, complemented
787C2×C43—24no—
788C2×C43—42no—
789C2×C43—81no—
790C2×C43—81no—
791C2×C43—81no—
792C2×C43C2×#52911yescharacteristic
793C2×C43#345911yescharacteristic
794C2×C43#346011yescharacteristic
795C2×C43#351311yescharacteristic
796C2×C43#351411yescharacteristic
797C2×C43#351911yescharacteristic
798C2×C43#352111yescharacteristic
799C2×#126C22×C4311yescharacteristic
800C2×#125C22×C4311yescharacteristic, complemented
801C2×#124C22×C4311yescharacteristic
802C2×#123C22×C4311yescharacteristic
803C2×#123C22×C4311yescharacteristic, complemented
804C2×C22⋊Q8C22×C4311yescharacteristic
805C2×#121C22×C4311yescharacteristic
806C2×#121C22×C4311yescharacteristic
807C2×#120C22×C4311yescharacteristic
808C2×#120C22×C4311yescharacteristic
809C2×C4×D4C22×C4311yescharacteristic
810C2×C4×D4C22×C4311yescharacteristic
811C2×C4×D4C22×C4311yescharacteristic
812C2×C4×D4C22×C4311yescharacteristic
813C2×#117C22×C4311yescharacteristic, complemented
814C22×C4⋊C4C22×C4311yescharacteristic
815C22×C22⋊C4C22×C4311yescharacteristic
816C22×C22⋊C4C22×C4311yescharacteristic
817C22×C22⋊C4C22×C4311yescharacteristic
818C22×C42C22×C4311yescharacteristic
819C22×C42C22×C4311yescharacteristic, complemented
820#401C22×C4311yescharacteristic, complemented
821#400C22×C4311yescharacteristic, complemented
822#400C22×C4311yescharacteristic, complemented
823#400C22×C4311yescharacteristic, complemented
824#399C22×C4311yescharacteristic
825#399C22×C4311yescharacteristic, complemented
826#398C22×C4311yescharacteristic, complemented
827#398C22×C4311yescharacteristic, complemented
828#398C22×C4311yescharacteristic, complemented
829#398C22×C4311yescharacteristic, complemented
830#398C22×C4311yescharacteristic, complemented
831#397C22×C4311yescharacteristic
832#397C22×C4311yescharacteristic
833#397C22×C4311yescharacteristic
834#397C22×C4311yescharacteristic
835#397C22×C4311yescharacteristic
836#397C22×C4311yescharacteristic, complemented
837#397C22×C4311yescharacteristic, complemented
838#397C22×C4311yescharacteristic, complemented
839#396C22×C4311yescharacteristic
840#396C22×C4311yescharacteristic
841#396C22×C4311yescharacteristic, complemented
842#394C22×C4311yescharacteristic
843#394C22×C4311yescharacteristic
844#394C22×C4311yescharacteristic
845#394C22×C4311yescharacteristic
846#394C22×C4311yescharacteristic
847#394C22×C4311yescharacteristic
848#394C22×C4311yescharacteristic, complemented
849#393C22×C4311yescharacteristic
850#393C22×C4311yescharacteristic, complemented
851#392C22×C4311yescharacteristic
852#391C22×C4311yescharacteristic, complemented
853#391C22×C4311yescharacteristic, complemented
854#391C22×C4311yescharacteristic, complemented
855#390C22×C4311yescharacteristic
856#390C22×C4311yescharacteristic
857#390C22×C4311yescharacteristic
858#390C22×C4311yescharacteristic
859#390C22×C4311yescharacteristic
860#390C22×C4311yescharacteristic
861#389C22×C4311yescharacteristic, complemented
862#389C22×C4311yescharacteristic, complemented
863#389C22×C4311yescharacteristic, complemented
864#388C22×C4311yescharacteristic
865#388C22×C4311yescharacteristic
866#388C22×C4311yescharacteristic
867#388C22×C4311yescharacteristic
868#388C22×C4311yescharacteristic
869#388C22×C4311yescharacteristic
870#388C22×C4311yescharacteristic
871#388C22×C4311yescharacteristic
872#388C22×C4311yescharacteristic
873#388C22×C4311yescharacteristic
874#388C22×C4311yescharacteristic
875#388C22×C4311yescharacteristic
876#388C22×C4311yescharacteristic
877#388C22×C4311yescharacteristic
878#388C22×C4311yescharacteristic
879#388C22×C4311yescharacteristic
880#388C22×C4311yescharacteristic
881#388C22×C4311yescharacteristic
882#388C22×C4311yescharacteristic
883#388C22×C4311yescharacteristic
884#388C22×C4311yescharacteristic
885#388C22×C4311yescharacteristic
886#388C22×C4311yescharacteristic
887#388C22×C4311yescharacteristic
888#388C22×C4311yescharacteristic, complemented
889#388C22×C4311yescharacteristic, complemented
890#388C22×C4311yescharacteristic, complemented
891#388C22×C4311yescharacteristic, complemented
892#388C22×C4311yescharacteristic, complemented
893#388C22×C4311yescharacteristic, complemented
894#388C22×C4311yescharacteristic, complemented
895#387C22×C4311yescharacteristic, complemented
896#387C22×C4311yescharacteristic, complemented
897#387C22×C4311yescharacteristic, complemented
898#387C22×C4311yescharacteristic, complemented
899#387C22×C4311yescharacteristic, complemented
900#387C22×C4311yescharacteristic, complemented
901#387C22×C4311yescharacteristic, complemented
902#387C22×C4311yescharacteristic, complemented
903#387C22×C4311yescharacteristic, complemented
904#387C22×C4311yescharacteristic, complemented
905#387C22×C4311yescharacteristic, complemented
906#387C22×C4311yescharacteristic, complemented
907#387C22×C4311yescharacteristic, complemented
908#386C22×C4311yescharacteristic
909#386C22×C4311yescharacteristic
910#386C22×C4311yescharacteristic
911#386C22×C4311yescharacteristic
912#386C22×C4311yescharacteristic
913#386C22×C4311yescharacteristic
914#386C22×C4311yescharacteristic
915#386C22×C4311yescharacteristic
916#386C22×C4311yescharacteristic
917#386C22×C4311yescharacteristic
918#386C22×C4311yescharacteristic
919#386C22×C4311yescharacteristic
920#386C22×C4311yescharacteristic, complemented
921#386C22×C4311yescharacteristic, complemented
922#385C22×C4311yescharacteristic
923#385C22×C4311yescharacteristic
924#385C22×C4311yescharacteristic
925#385C22×C4311yescharacteristic
926#385C22×C4311yescharacteristic
927#385C22×C4311yescharacteristic
928#385C22×C4311yescharacteristic, complemented
929#385C22×C4311yescharacteristic, complemented
930#385C22×C4311yescharacteristic, complemented
931#385C22×C4311yescharacteristic, complemented
932#383C22×C4311yescharacteristic, complemented
933#380C22×C4311yescharacteristic
934#380C22×C4311yescharacteristic
935#380C22×C4311yescharacteristic, complemented
936#379C22×C4311yescharacteristic
937#379C22×C4311yescharacteristic
938C4×C4⋊C4C22×C4311yescharacteristic, complemented
939C4×C4⋊C4C22×C4311yescharacteristic, complemented
940C4×C4⋊C4C22×C4311yescharacteristic, complemented
941C4×C4⋊C4C22×C4311yescharacteristic, complemented
942C4×C22⋊C4C22×C4311yescharacteristic
943C4×C22⋊C4C22×C4311yescharacteristic
944C4×C22⋊C4C22×C4311yescharacteristic
945C4×C22⋊C4C22×C4311yescharacteristic
946C4×C22⋊C4C22×C4311yescharacteristic, complemented
947C4×C22⋊C4C22×C4311yescharacteristic, complemented
948C4×C22⋊C4C22×C4311yescharacteristic, complemented
949C4×C22⋊C4C22×C4311yescharacteristic, complemented
950#376C22×C4311yescharacteristic, complemented
951C2×#95C22×C4311yescharacteristic
952C2×#95C22×C4311yescharacteristic
953C43C22×C4311yescharacteristic, complemented
954C43#3506811yescharacteristic, direct product factor, Sylow
955C25C23×C4311yescharacteristic
956C22×Q8C23×C4311yescharacteristic
957C22×D4C23×C4311yescharacteristic
958C22×D4C23×C4311yescharacteristic
959C22×D4C23×C4311yescharacteristic
960C22×D4C23×C4311yescharacteristic
961C22×D4C23×C4311yescharacteristic
962C22×D4C23×C4311yescharacteristic
963C22×D4C23×C4311yescharacteristic
964C23×C4C23×C4311yescharacteristic
965C23×C4C23×C4311yescharacteristic
966C23×C4C23×C4311yescharacteristic
967C23×C4C23×C4311yescharacteristic
968C23×C4C23×C4311yescharacteristic
969C23×C4C23×C4311yescharacteristic
970C23×C4C23×C4311yescharacteristic
971C23×C4C23×C4311yescharacteristic
972C23×C4C23×C4311yescharacteristic
973C23×C4C23×C4311yescharacteristic
974#126—42no—
975#125—42no—
976#124—42no—
977#123—42no—
978#123—42no—
979C22⋊Q8—24no—
980#121—24no—
981#121—42no—
982#120—24no—
983#120—24no—
984C4×D4—24no—
985C4×D4—24no—
986C4×D4—24no—
987C4×D4—24no—
988#117—42no—
989C2×C4⋊C4—42no—
990C2×C4⋊C4C23×C4311yescharacteristic
991C2×C4⋊C4C23×C4311yescharacteristic
992C2×C4⋊C4C23×C4311yescharacteristic
993C2×C4⋊C4C23×C4311yescharacteristic
994C2×C4⋊C4C23×C4311yescharacteristic
995C2×C4⋊C4C23×C4311yescharacteristic
996C2×C4⋊C4C23×C4311yescharacteristic
997C2×C4⋊C4C23×C4311yescharacteristic
998C2×C4⋊C4C23×C4311yescharacteristic
999C2×C4⋊C4C23×C4311yescharacteristic
1000C2×C4⋊C4C23×C4311yescharacteristic
1001C2×C4⋊C4C23×C4311yescharacteristic
1002C2×C4⋊C4C23×C4311yescharacteristic
1003C2×C4⋊C4C23×C4311yescharacteristic
1004C2×C4⋊C4C23×C4311yescharacteristic
1005C2×C4⋊C4C23×C4311yescharacteristic
1006C2×C4⋊C4C23×C4311yescharacteristic
1007C2×C4⋊C4C23×C4311yescharacteristic
1008C2×C4⋊C4C23×C4311yescharacteristic
1009C2×C4⋊C4C23×C4311yescharacteristic
1010C2×C4⋊C4C23×C4311yescharacteristic
1011C2×C4⋊C4C23×C4311yescharacteristic
1012C2×C4⋊C4C23×C4311yescharacteristic
1013C2×C4⋊C4C23×C4311yescharacteristic
1014C2×C4⋊C4C23×C4311yescharacteristic
1015C2×C4⋊C4C23×C4311yescharacteristic
1016C2×C4⋊C4C23×C4311yescharacteristic
1017C2×C4⋊C4C23×C4311yescharacteristic
1018C2×C22⋊C4—24no—
1019C2×C22⋊C4—42no—
1020C2×C22⋊C4—42no—
1021C2×C22⋊C4C23×C4311yescharacteristic
1022C2×C22⋊C4C23×C4311yescharacteristic
1023C2×C22⋊C4C23×C4311yescharacteristic
1024C2×C22⋊C4C23×C4311yescharacteristic
1025C2×C22⋊C4C23×C4311yescharacteristic
1026C2×C22⋊C4C23×C4311yescharacteristic
1027C2×C22⋊C4C23×C4311yescharacteristic
1028C2×C22⋊C4C23×C4311yescharacteristic
1029C2×C22⋊C4C23×C4311yescharacteristic
1030C2×C22⋊C4C23×C4311yescharacteristic
1031C2×C22⋊C4C23×C4311yescharacteristic
1032C2×C22⋊C4C23×C4311yescharacteristic
1033C2×C22⋊C4C23×C4311yescharacteristic
1034C2×C22⋊C4C23×C4311yescharacteristic
1035C2×C22⋊C4C23×C4311yescharacteristic
1036C2×C22⋊C4C23×C4311yescharacteristic
1037C2×C22⋊C4C23×C4311yescharacteristic
1038C2×C22⋊C4C23×C4311yescharacteristic
1039C2×C22⋊C4C23×C4311yescharacteristic
1040C2×C22⋊C4C23×C4311yescharacteristic
1041C2×C22⋊C4C23×C4311yescharacteristic
1042C2×C22⋊C4C23×C4311yescharacteristic
1043C2×C22⋊C4C23×C4311yescharacteristic
1044C2×C22⋊C4C23×C4311yescharacteristic
1045C2×C22⋊C4C23×C4311yescharacteristic
1046C2×C22⋊C4C23×C4311yescharacteristic
1047C2×C22⋊C4C23×C4311yescharacteristic
1048C2×C22⋊C4C23×C4311yescharacteristic
1049C2×C22⋊C4C23×C4311yescharacteristic
1050C2×C22⋊C4C23×C4311yescharacteristic
1051C2×C22⋊C4C23×C4311yescharacteristic
1052C2×C22⋊C4C23×C4311yescharacteristic
1053C2×C22⋊C4C23×C4311yescharacteristic
1054C2×C22⋊C4C23×C4311yescharacteristic
1055C2×C22⋊C4C23×C4311yescharacteristic
1056C2×C22⋊C4C23×C4311yescharacteristic
1057C2×C22⋊C4C23×C4311yescharacteristic
1058C2×C22⋊C4C23×C4311yescharacteristic
1059C2×C22⋊C4C23×C4311yescharacteristic
1060C2×C22⋊C4C23×C4311yescharacteristic
1061C2×C22⋊C4C23×C4311yescharacteristic
1062C2×C22⋊C4C23×C4311yescharacteristic
1063C2×C22⋊C4C23×C4311yescharacteristic
1064C2×C22⋊C4C23×C4311yescharacteristic
1065C2×C22⋊C4C23×C4311yescharacteristic
1066C2×C22⋊C4C23×C4311yescharacteristic
1067C2×C22⋊C4C23×C4311yescharacteristic
1068C2×C22⋊C4C23×C4311yescharacteristic
1069C2×C42—42no—
1070C2×C42—42no—
1071C2×C42C23×C4311yescharacteristic
1072C2×C42C23×C4311yescharacteristic
1073C2×C42C23×C4311yescharacteristic
1074C2×C42C23×C4311yescharacteristic
1075C2×C42C23×C4311yescharacteristic
1076C2×C42C23×C4311yescharacteristic
1077C2×C42C23×C4311yescharacteristic
1078C2×C42C23×C4311yescharacteristic
1079C2×C42C23×C4311yescharacteristic
1080C2×C42C23×C4311yescharacteristic
1081C2×C42C23×C4311yescharacteristic
1082C2×C42C23×C4311yescharacteristic
1083C2×C42C23×C4311yescharacteristic
1084C2×C42C23×C4311yescharacteristic
1085C2×C42C23×C4311yescharacteristic
1086C2×C42C23×C4311yescharacteristic
1087#95C23×C4311yescharacteristic
1088#95C23×C4311yescharacteristic
1089#95C23×C4311yescharacteristic
1090#95C23×C4311yescharacteristic
1091#95C23×C4311yescharacteristic
1092#95C23×C4311yescharacteristic
1093#95C23×C4311yescharacteristic
1094#95C23×C4311yescharacteristic
1095#95C23×C4311yescharacteristic
1096#95C23×C4311yescharacteristic
1097#95C23×C4311yescharacteristic
1098#95C23×C4311yescharacteristic
1099#95C23×C4311yescharacteristic
1100#95C23×C4311yescharacteristic
1101#95C23×C4311yescharacteristic
1102#95C23×C4311yescharacteristic
1103#95C23×C4311yescharacteristic
1104#95C23×C4311yescharacteristic
1105#95C23×C4311yescharacteristic
1106#95C23×C4311yescharacteristic
1107#95C23×C4311yescharacteristic
1108#95C23×C4311yescharacteristic
1109#95C23×C4311yescharacteristic
1110#95C23×C4311yescharacteristic
1111#95C23×C4311yescharacteristic
1112#95C23×C4311yescharacteristic
1113#95C23×C4311yescharacteristic
1114#95C23×C4311yescharacteristic
1115#95C23×C4311yescharacteristic
1116#95C23×C4311yescharacteristic
1117#95C23×C4311yescharacteristic
1118#95C23×C4311yescharacteristic
1119#95C23×C4311yescharacteristic
1120#95C23×C4311yescharacteristic
1121#95C23×C4311yescharacteristic
1122#95C23×C4311yescharacteristic
1123#95C23×C4311yescharacteristic
1124#95C23×C4311yescharacteristic
1125#95C23×C4311yescharacteristic
1126#95C23×C4311yescharacteristic
1127#95C23×C4311yescharacteristic
1128#95C23×C4311yescharacteristic
1129#95C23×C4311yescharacteristic
1130#95C23×C4311yescharacteristic
1131C24—22no—
1132C24—22no—
1133C24—22no—
1134C24—41no—
1135C24—41no—
1136C24—41no—
1137C24—41no—
1138C24C24×C4311yescharacteristic
1139C24C24×C4311yescharacteristic
1140C24C24×C4311yescharacteristic
1141C24C24×C4311yescharacteristic
1142C24C24×C4311yescharacteristic
1143C2×Q8—22no—
1144C2×Q8—41no—
1145C2×Q8—41no—
1146C2×D4—22no—
1147C2×D4—22no—
1148C2×D4—22no—
1149C2×D4—22no—
1150C2×D4—22no—
1151C2×D4—22no—
1152C2×D4—22no—
1153C2×D4—22no—
1154C2×D4—22no—
1155C2×D4—22no—
1156C2×D4—41no—
1157C2×D4—41no—
1158C2×D4—41no—
1159C2×D4—41no—
1160C2×D4—41no—
1161C2×D4—41no—
1162C2×D4—41no—
1163C2×D4—41no—
1164C2×D4—41no—
1165C2×D4—41no—
1166C2×D4#41×C4314yes—
1167C22×C4—22no—
1168C22×C4—22no—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—22no—
1172C22×C4—22no—
1173C22×C4—22no—
1174C22×C4—22no—
1175C22×C4—22no—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—22no—
1180C22×C4—41no—
1181C22×C4—41no—
1182C22×C4—41no—
1183C22×C4—41no—
1184C22×C4—41no—
1185C22×C4—41no—
1186C22×C4—41no—
1187C22×C4—41no—
1188C22×C4—41no—
1189C22×C4—41no—
1190C22×C4—41no—
1191C22×C4—41no—
1192C22×C4—41no—
1193C22×C4—41no—
1194C22×C4—41no—
1195C22×C4—41no—
1196C22×C4#41×C4314yes—
1197C22×C4C24×C4311yescharacteristic
1198C22×C4C24×C4311yescharacteristic
1199C22×C4C24×C4311yescharacteristic
1200C22×C4C24×C4311yescharacteristic
1201C22×C4C24×C4311yescharacteristic
1202C22×C4C24×C4311yescharacteristic
1203C22×C4C24×C4311yescharacteristic
1204C22×C4C24×C4311yescharacteristic
1205C22×C4C24×C4311yescharacteristic
1206C22×C4C24×C4311yescharacteristic
1207C22×C4C24×C4311yescharacteristic
1208C22×C4C24×C4311yescharacteristic
1209C22×C4C24×C4311yescharacteristic
1210C22×C4C24×C4311yescharacteristic
1211C22×C4C24×C4311yescharacteristic
1212C22×C4C24×C4311yescharacteristic
1213C22×C4C24×C4311yescharacteristic
1214C22×C4C24×C4311yescharacteristic
1215C22×C4C24×C4311yescharacteristic
1216C22×C4C24×C4311yescharacteristic
1217C22×C4C24×C4311yescharacteristic
1218C22×C4C24×C4311yescharacteristic
1219C22×C4C24×C4311yescharacteristic
1220C22×C4C24×C4311yescharacteristic
1221C22×C4C24×C4311yescharacteristic
1222C22×C4C24×C4311yescharacteristic
1223C4⋊C4—22no—
1224C4⋊C4—22no—
1225C4⋊C4—22no—
1226C4⋊C4—22no—
1227C4⋊C4—22no—
1228C4⋊C4—22no—
1229C4⋊C4—22no—
1230C4⋊C4—22no—
1231C4⋊C4—22no—
1232C4⋊C4—22no—
1233C4⋊C4—22no—
1234C4⋊C4—22no—
1235C4⋊C4—41no—
1236C4⋊C4—41no—
1237C4⋊C4—41no—
1238C4⋊C4—41no—
1239C4⋊C4—41no—
1240C4⋊C4—41no—
1241C4⋊C4—41no—
1242C4⋊C4—41no—
1243C4⋊C4—41no—
1244C4⋊C4—41no—
1245C4⋊C4—41no—
1246C4⋊C4—41no—
1247C4⋊C4—41no—
1248C4⋊C4—41no—
1249C4⋊C4—41no—
1250C4⋊C4—41no—
1251C22⋊C4—22no—
1252C22⋊C4—22no—
1253C22⋊C4—22no—
1254C22⋊C4—22no—
1255C22⋊C4—22no—
1256C22⋊C4—22no—
1257C22⋊C4—22no—
1258C22⋊C4—22no—
1259C22⋊C4—22no—
1260C22⋊C4—22no—
1261C22⋊C4—22no—
1262C22⋊C4—22no—
1263C22⋊C4—22no—
1264C22⋊C4—22no—
1265C22⋊C4—22no—
1266C22⋊C4—22no—
1267C22⋊C4—22no—
1268C22⋊C4—22no—
1269C22⋊C4—22no—
1270C22⋊C4—22no—
1271C22⋊C4—22no—
1272C22⋊C4—22no—
1273C22⋊C4—22no—
1274C22⋊C4—22no—
1275C22⋊C4—22no—
1276C22⋊C4—41no—
1277C22⋊C4—41no—
1278C22⋊C4—41no—
1279C22⋊C4—41no—
1280C22⋊C4—41no—
1281C22⋊C4—41no—
1282C22⋊C4—41no—
1283C22⋊C4—41no—
1284C22⋊C4—41no—
1285C22⋊C4—41no—
1286C22⋊C4—41no—
1287C22⋊C4—41no—
1288C22⋊C4—41no—
1289C22⋊C4—41no—
1290C22⋊C4—41no—
1291C22⋊C4—41no—
1292C22⋊C4—41no—
1293C22⋊C4—41no—
1294C22⋊C4—41no—
1295C22⋊C4—41no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4#41×C4314yes—
1299C42—22no—
1300C42—22no—
1301C42—22no—
1302C42—22no—
1303C42—22no—
1304C42—22no—
1305C42—22no—
1306C42—22no—
1307C42—41no—
1308C42—41no—
1309C42—41no—
1310C42—41no—
1311C42—41no—
1312C42—41no—
1313C42—41no—
1314C42—41no—
1315C23—21no—
1316C23—21no—
1317C23—21no—
1318C23—21no—
1319C23—21no—
1320C23—21no—
1321C23—21no—
1322C23—21no—
1323C23—21no—
1324C23—21no—
1325C23—21no—
1326C23—21no—
1327C23—21no—
1328C23—21no—
1329C23—21no—
1330C23—21no—
1331C23—21no—
1332C23—21no—
1333C23—21no—
1334C23—21no—
1335C23—21no—
1336C23—21no—
1337C23—21no—
1338C23—21no—
1339C23—21no—
1340C23—21no—
1341C23—21no—
1342C23—21no—
1343C23—21no—
1344C23—21no—
1345C23—21no—
1346C23—44no—
1347C23—44no—
1348C23—44no—
1349C23—82no—
1350C23—82no—
1351C23—82no—
1352C23—82no—
1353C23C2×#41×C4312yes—
1354C23C2×#41×C4312yes—
1355C23C2×#41×C4312yes—
1356C23C2×#41×C4312yes—
1357C23C25×C4311yescharacteristic
1358Q8—82no—
1359D4—28no—
1360D4—44no—
1361D4—82no—
1362D4—82no—
1363D4—82no—
1364D4—82no—
1365D4—82no—
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—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—44no—
1438C2×C4—44no—
1439C2×C4—44no—
1440C2×C4—44no—
1441C2×C4—44no—
1442C2×C4—44no—
1443C2×C4—44no—
1444C2×C4—44no—
1445C2×C4—82no—
1446C2×C4—82no—
1447C2×C4C2×#41×C4312yes—
1448C2×C4C2×#41×C4312yes—
1449C2×C4C2×#41×C4312yes—
1450C2×C4C2×#41×C4312yes—
1451C2×C4C2×#41×C4312yes—
1452C2×C4H(5,𝔽2)×C4312yes—
1453C2×C4H(5,𝔽2)×C4312yes—
1454C22—22no—
1455C22—22no—
1456C22—22no—
1457C22—22no—
1458C22—22no—
1459C22—22no—
1460C22—22no—
1461C22—22no—
1462C22—22no—
1463C22—41no—
1464C22—41no—
1465C22—41no—
1466C22—41no—
1467C22—41no—
1468C22—41no—
1469C22—41no—
1470C22—41no—
1471C22—41no—
1472C22—41no—
1473C22—41no—
1474C22—41no—
1475C22—41no—
1476C22—41no—
1477C22—41no—
1478C22—41no—
1479C22—41no—
1480C22—41no—
1481C22—41no—
1482C22—41no—
1483C22—41no—
1484C22—41no—
1485C22—41no—
1486C22—41no—
1487C22—41no—
1488C22—88no—
1489C22C43×#52914yes—
1490C22C22×#41×C4311yescharacteristic
1491C22C22×#41×C4311yescharacteristic
1492C22C22×#41×C4311yescharacteristic
1493C22C2×H(5,𝔽2)×C4311yescharacteristic
1494C22C2×H(5,𝔽2)×C4311yescharacteristic
1495C22C43×#58511yescharacteristic
1496C22C43×#58511yescharacteristic
1497C4—22no—
1498C4—22no—
1499C4—22no—
1500C4—22no—
1501C4—22no—
1502C4—22no—
1503C4—22no—
1504C4—41no—
1505C4—41no—
1506C4—41no—
1507C4—41no—
1508C4—41no—
1509C4—41no—
1510C4—41no—
1511C4—41no—
1512C4—41no—
1513C4—41no—
1514C4—41no—
1515C4—41no—
1516C4—41no—
1517C4—41no—
1518C4—41no—
1519C4—41no—
1520C4—41no—
1521C4—41no—
1522C4—41no—
1523C2—24no—
1524C2—42no—
1525C2—81no—
1526C2—81no—
1527C2—81no—
1528C2C2×C43×#52911yescharacteristic
1529C2C43×#345911yescharacteristic
1530C2C43×#346011yescharacteristic
1531C2C43×#351311yescharacteristic
1532C2C43×#351411yescharacteristic
1533C2C43×#351911yescharacteristic
1534C2C43×#352111yescharacteristic
subgroupG/H
center, socleC23×C43C25
commutator, Frattini, cosocleC23C25×C43
prime radicalC43×#2424C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C43 ◁ G

Complements

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

NH ≅ G/Ntype
1. C43×#2865C2semidirect
2. C43×#2861C2semidirect
3. C43×#2854C2semidirect
4. C43×#2852C2semidirect
5. C43×#2654C2semidirect
6. C43×#2653C2semidirect
7. C43×#2651C2semidirect
8. C43×#2648C2semidirect
9. C43×#2595C2semidirect
10. C43×#2594C2semidirect
11. C43×#2558C2semidirect
12. C43×#2557C2semidirect
13. C43×#2532C2semidirect
14. C43×#2531C2semidirect
15. C43×#2510C2semidirect
16. C43×#2480C2semidirect
17. C43×#2479C2semidirect
18. C43×#2476C2semidirect
19. C43×#2473C2semidirect
20. C43×#2472C2semidirect
21. C43×#2450C2semidirect
22. C43×#2443C2semidirect
24. C43×#2418C2semidirect
25. C43×#2329C2semidirect
26. C43×#2325C2semidirect
27. C43×#2321C2semidirect
28. C43×#2321C2semidirect
29. C43×#2290C2semidirect
30. C2×C43×#388C2semidirect
31. C42×D4×C43C2semidirect
33. C2×#125×C43C22semidirect
36. C2×#123×C43C22semidirect
46. C2×#117×C43C22semidirect
52. C22×C42×C43C22semidirect
53. C43×#401C22semidirect
54. C43×#400C22semidirect
55. C43×#400C22semidirect
56. C43×#400C22semidirect
58. C43×#399C22semidirect
59. C43×#398C22semidirect
60. C43×#398C22semidirect
61. C43×#398C22semidirect
62. C43×#398C22semidirect
63. C43×#398C22semidirect
69. C43×#397C22semidirect
70. C43×#397C22semidirect
71. C43×#397C22semidirect
74. C43×#396C22semidirect
81. C43×#394C22semidirect
83. C43×#393C22semidirect
85. C43×#391C22semidirect
86. C43×#391C22semidirect
87. C43×#391C22semidirect
94. C43×#389C22semidirect
95. C43×#389C22semidirect
96. 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
137. C43×#387C22semidirect
138. C43×#387C22semidirect
139. C43×#387C22semidirect
140. C43×#387C22semidirect
153. C43×#386C22semidirect
154. C43×#386C22semidirect
161. C43×#385C22semidirect
162. C43×#385C22semidirect
163. C43×#385C22semidirect
164. C43×#385C22semidirect
165. C43×#383C22semidirect
168. C43×#380C22semidirect
171. C4×C4⋊C4×C43C22semidirect
172. C4×C4⋊C4×C43C22semidirect
173. C4×C4⋊C4×C43C22semidirect
174. C4×C4⋊C4×C43C22semidirect
179. C4×C22⋊C4×C43C22semidirect
180. C4×C22⋊C4×C43C22semidirect
181. C4×C22⋊C4×C43C22semidirect
182. C4×C22⋊C4×C43C22semidirect
183. C43×#376C22semidirect
186. C43×C43C22semidirect
686. #35068C43direct (N × H)
756. #2865C2×C43semidirect
757. #2861C2×C43semidirect
758. #2854C2×C43semidirect
759. #2852C2×C43semidirect
760. #2654C2×C43semidirect
761. #2653C2×C43semidirect
762. #2651C2×C43semidirect
763. #2648C2×C43semidirect
764. #2595C2×C43semidirect
765. #2594C2×C43semidirect
766. #2558C2×C43semidirect
767. #2557C2×C43semidirect
768. #2532C2×C43semidirect
769. #2531C2×C43semidirect
770. #2510C2×C43semidirect
771. #2480C2×C43semidirect
772. #2479C2×C43semidirect
773. #2476C2×C43semidirect
774. #2473C2×C43semidirect
775. #2472C2×C43semidirect
776. #2450C2×C43semidirect
777. #2443C2×C43semidirect
779. #2418C2×C43semidirect
780. #2329C2×C43semidirect
781. #2325C2×C43semidirect
782. #2321C2×C43semidirect
783. #2321C2×C43semidirect
784. #2290C2×C43semidirect
785. C2×#388C2×C43semidirect
786. C42×D4C2×C43semidirect
800. C2×#125C22×C43semidirect
803. C2×#123C22×C43semidirect
813. C2×#117C22×C43semidirect
819. C22×C42C22×C43semidirect
820. #401C22×C43semidirect
821. #400C22×C43semidirect
822. #400C22×C43semidirect
823. #400C22×C43semidirect
825. #399C22×C43semidirect
826. #398C22×C43semidirect
827. #398C22×C43semidirect
828. #398C22×C43semidirect
829. #398C22×C43semidirect
830. #398C22×C43semidirect
836. #397C22×C43semidirect
837. #397C22×C43semidirect
838. #397C22×C43semidirect
841. #396C22×C43semidirect
848. #394C22×C43semidirect
850. #393C22×C43semidirect
852. #391C22×C43semidirect
853. #391C22×C43semidirect
854. #391C22×C43semidirect
861. #389C22×C43semidirect
862. #389C22×C43semidirect
863. #389C22×C43semidirect
888. #388C22×C43semidirect
889. #388C22×C43semidirect
890. #388C22×C43semidirect
891. #388C22×C43semidirect
892. #388C22×C43semidirect
893. #388C22×C43semidirect
894. #388C22×C43semidirect
895. #387C22×C43semidirect
896. #387C22×C43semidirect
897. #387C22×C43semidirect
898. #387C22×C43semidirect
899. #387C22×C43semidirect
900. #387C22×C43semidirect
901. #387C22×C43semidirect
902. #387C22×C43semidirect
903. #387C22×C43semidirect
904. #387C22×C43semidirect
905. #387C22×C43semidirect
906. #387C22×C43semidirect
907. #387C22×C43semidirect
920. #386C22×C43semidirect
921. #386C22×C43semidirect
928. #385C22×C43semidirect
929. #385C22×C43semidirect
930. #385C22×C43semidirect
931. #385C22×C43semidirect
932. #383C22×C43semidirect
935. #380C22×C43semidirect
938. C4×C4⋊C4C22×C43semidirect
939. C4×C4⋊C4C22×C43semidirect
940. C4×C4⋊C4C22×C43semidirect
941. C4×C4⋊C4C22×C43semidirect
946. C4×C22⋊C4C22×C43semidirect
947. C4×C22⋊C4C22×C43semidirect
948. C4×C22⋊C4C22×C43semidirect
949. C4×C22⋊C4C22×C43semidirect
950. #376C22×C43semidirect
953. C43C22×C43semidirect
954. C43#35068direct (N × H)

Maximal subgroups

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

subgroupindex
C43×#28652
C43×#28612
C43×#28542
C43×#28522
C43×#26542
C43×#26532
C43×#26512
C43×#26482
C43×#25952
C43×#25942
C43×#25582
C43×#25572
C43×#25322
C43×#25312
C43×#25102
C43×#24802
C43×#24792
C43×#24762
C43×#24732
C43×#24722
C43×#24502
C43×#24432
C43×#24242
C43×#24182
C43×#23292
C43×#23252
C43×#23212
C43×#22902
C2×C43×#3882
C42×D4×C432
#3506843