Finite Group Databasebeta

← C43×#35053 #24955070

Subgroups — C43×#35053 #24955070

Order 11008.

2254 conjugacy classes of subgroups.

The subgroup lattice has 1628 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C43×#2852C211yesmaximal, characteristic, complemented
2C43×#2850C211yesmaximal, characteristic, complemented
3C43×#2849C211yesmaximal, characteristic, complemented
4C43×#2847C211yesmaximal, characteristic, complemented
5C43×#2665C211yesmaximal, characteristic, complemented
6C43×#2661C211yesmaximal, characteristic, complemented
7C43×#2653C211yesmaximal, characteristic, complemented
8C43×#2648C211yesmaximal, characteristic, complemented
9C43×#2578C211yesmaximal, characteristic, complemented
10C43×#2576C211yesmaximal, characteristic, complemented
11C43×#2574C211yesmaximal, characteristic, complemented
12C43×#2572C211yesmaximal, characteristic, complemented
13C43×#2559C211yesmaximal, characteristic, complemented
14C43×#2557C211yesmaximal, characteristic, complemented
15C43×#2555C211yesmaximal, characteristic, complemented
16C43×#2554C211yesmaximal, characteristic, complemented
17C43×#2510C211yesmaximal, characteristic, complemented
18C43×#2472C211yesmaximal, characteristic, complemented
19C43×#2444C211yesmaximal, characteristic, complemented
20C43×#2438C211yesmaximal, characteristic, complemented
21C43×#2430C211yesmaximal, characteristic, complemented
22C43×#2424C211yesmaximal, characteristic, complemented
23C43×#2411C211yesmaximal, characteristic, complemented
24C43×#2404C211yesmaximal, characteristic, complemented
25C43×#2337C211yesmaximal, characteristic, complemented
26C43×#2335C211yesmaximal, characteristic, complemented
27C43×#2333C211yesmaximal, characteristic, complemented
28C43×#2333C211yesmaximal, characteristic, complemented
29C4×#123×C43C211yesmaximal, characteristic, complemented
30C43×#2297C211yesmaximal, characteristic, complemented
31C2×C4×C22⋊C4×C43C211yesmaximal, characteristic, complemented
32C22×#41×C43C2211yescharacteristic
33C24×C4×C43C2211yescharacteristic
34C2×#126×C43C2211yescharacteristic, complemented
35C2×#124×C43C2211yescharacteristic
36C2×#124×C43C2211yescharacteristic, complemented
37C2×#123×C43C2211yescharacteristic
38C2×#123×C43C2211yescharacteristic
39C2×#123×C43C2211yescharacteristic
40C2×C22⋊Q8×C43C2211yescharacteristic
41C2×#121×C43C2211yescharacteristic
42C2×#121×C43C2211yescharacteristic
43C2×#121×C43C2211yescharacteristic
44C2×#121×C43C2211yescharacteristic
45C2×#121×C43C2211yescharacteristic
46C2×#120×C43C2211yescharacteristic
47C2×#120×C43C2211yescharacteristic
48C2×#120×C43C2211yescharacteristic
49C2×C4×D4×C43C2211yescharacteristic
50C2×#117×C43C2211yescharacteristic
51C22×C22⋊C4×C43C2211yescharacteristic
52C22×C22⋊C4×C43C2211yescharacteristic
53C22×C42×C43C2211yescharacteristic
54C22×C42×C43C2211yescharacteristic
55C43×#401C2211yescharacteristic, complemented
56C43×#400C2211yescharacteristic, complemented
57C43×#400C2211yescharacteristic, complemented
58C43×#400C2211yescharacteristic, complemented
59C43×#398C2211yescharacteristic, complemented
60C43×#398C2211yescharacteristic, complemented
61C43×#397C2211yescharacteristic
62C43×#397C2211yescharacteristic, complemented
63C43×#397C2211yescharacteristic, complemented
64C43×#397C2211yescharacteristic, complemented
65C43×#397C2211yescharacteristic, complemented
66C43×#396C2211yescharacteristic
67C43×#396C2211yescharacteristic
68C43×#396C2211yescharacteristic
69C43×#395C2211yescharacteristic, complemented
70C43×#395C2211yescharacteristic, complemented
71C43×#394C2211yescharacteristic
72C43×#394C2211yescharacteristic
73C43×#394C2211yescharacteristic
74C43×#394C2211yescharacteristic
75C43×#394C2211yescharacteristic
76C43×#394C2211yescharacteristic
77C43×#394C2211yescharacteristic, complemented
78C43×#394C2211yescharacteristic, complemented
79C43×#393C2211yescharacteristic
80C43×#393C2211yescharacteristic
81C43×#393C2211yescharacteristic
82C43×#393C2211yescharacteristic, complemented
83C43×#392C2211yescharacteristic
84C43×#392C2211yescharacteristic
85C43×#392C2211yescharacteristic
86C43×#392C2211yescharacteristic, complemented
87C43×#391C2211yescharacteristic, complemented
88C43×#391C2211yescharacteristic, complemented
89C43×#391C2211yescharacteristic, complemented
90C43×#391C2211yescharacteristic, complemented
91C43×#390C2211yescharacteristic
92C43×#390C2211yescharacteristic
93C43×#390C2211yescharacteristic
94C43×#390C2211yescharacteristic
95C43×#390C2211yescharacteristic, complemented
96C43×#390C2211yescharacteristic, complemented
97C43×#390C2211yescharacteristic, complemented
98C43×#389C2211yescharacteristic, complemented
99C43×#388C2211yescharacteristic
100C43×#388C2211yescharacteristic
101C43×#388C2211yescharacteristic
102C43×#388C2211yescharacteristic
103C43×#388C2211yescharacteristic
104C43×#388C2211yescharacteristic, complemented
105C43×#388C2211yescharacteristic, complemented
106C43×#388C2211yescharacteristic, complemented
107C43×#388C2211yescharacteristic, complemented
108C43×#388C2211yescharacteristic, complemented
109C43×#388C2211yescharacteristic, complemented
110C43×#388C2211yescharacteristic, complemented
111C43×#388C2211yescharacteristic, complemented
112C43×#388C2211yescharacteristic, complemented
113C43×#388C2211yescharacteristic, complemented
114C43×#388C2211yescharacteristic, complemented
115C43×#388C2211yescharacteristic, complemented
116C43×#387C2211yescharacteristic, complemented
117C43×#387C2211yescharacteristic, complemented
118C43×#387C2211yescharacteristic, complemented
119C43×#387C2211yescharacteristic, complemented
120C43×#387C2211yescharacteristic, complemented
121C43×#387C2211yescharacteristic, complemented
122C43×#387C2211yescharacteristic, complemented
123C43×#387C2211yescharacteristic, complemented
124C43×#387C2211yescharacteristic, complemented
125C43×#386C2211yescharacteristic
126C43×#386C2211yescharacteristic
127C43×#386C2211yescharacteristic
128C43×#386C2211yescharacteristic
129C43×#386C2211yescharacteristic
130C43×#386C2211yescharacteristic
131C43×#386C2211yescharacteristic
132C43×#386C2211yescharacteristic
133C43×#386C2211yescharacteristic
134C43×#386C2211yescharacteristic
135C43×#386C2211yescharacteristic
136C43×#386C2211yescharacteristic
137C43×#386C2211yescharacteristic
138C43×#386C2211yescharacteristic
139C43×#386C2211yescharacteristic
140C43×#386C2211yescharacteristic
141C43×#386C2211yescharacteristic
142C43×#386C2211yescharacteristic
143C43×#386C2211yescharacteristic
144C43×#386C2211yescharacteristic
145C43×#386C2211yescharacteristic
146C43×#386C2211yescharacteristic, complemented
147C43×#386C2211yescharacteristic, complemented
148C43×#386C2211yescharacteristic, complemented
149C43×#385C2211yescharacteristic
150C43×#385C2211yescharacteristic
151C43×#385C2211yescharacteristic
152C43×#385C2211yescharacteristic
153C43×#385C2211yescharacteristic
154C43×#385C2211yescharacteristic
155C43×#385C2211yescharacteristic, complemented
156C43×#385C2211yescharacteristic, complemented
157C43×#383C2211yescharacteristic, complemented
158C43×#383C2211yescharacteristic, complemented
159C43×#382C2211yescharacteristic, complemented
160C43×#381C2211yescharacteristic
161C43×#381C2211yescharacteristic
162C43×#381C2211yescharacteristic
163C43×#381C2211yescharacteristic, complemented
164C43×#380C2211yescharacteristic
165C43×#380C2211yescharacteristic
166C43×#380C2211yescharacteristic
167C43×#379C2211yescharacteristic
168C4×C4⋊C4×C43C2211yescharacteristic, complemented
169C4×C4⋊C4×C43C2211yescharacteristic, complemented
170C4×C22⋊C4×C43C2211yescharacteristic
171C4×C22⋊C4×C43C2211yescharacteristic
172C4×C22⋊C4×C43C2211yescharacteristic
173C4×C22⋊C4×C43C2211yescharacteristic
174C4×C22⋊C4×C43C2211yescharacteristic
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
183C4×C22⋊C4×C43C2211yescharacteristic, complemented
184C4×C22⋊C4×C43C2211yescharacteristic, complemented
185C2×#95×C43C2211yescharacteristic
186C2×#95×C43C2211yescharacteristic
187C25×C43C2311yescharacteristic
188C2×#41×C43—24no—
189C2×#41×C43—42no—
190C2×#41×C43—42no—
191C22×Q8×C43C2311yescharacteristic
192C22×Q8×C43C2311yescharacteristic
193C22×D4×C43C2311yescharacteristic
194C22×D4×C43C2311yescharacteristic
195C22×D4×C43C2311yescharacteristic
196C22×D4×C43C2311yescharacteristic
197C22×D4×C43C2311yescharacteristic
198C22×D4×C43C2311yescharacteristic
199C22×D4×C43C2311yescharacteristic
200C22×D4×C43C2311yescharacteristic
201C22×D4×C43C2311yescharacteristic
202C22×D4×C43C2311yescharacteristic
203C22×D4×C43C2311yescharacteristic
204C22×D4×C43C2311yescharacteristic
205C23×C4×C43—24no—
206C23×C4×C43—42no—
207C23×C4×C43—42no—
208C23×C4×C43C2311yescharacteristic
209C23×C4×C43C2311yescharacteristic
210C23×C4×C43C2311yescharacteristic
211C23×C4×C43C2311yescharacteristic
212C23×C4×C43C2311yescharacteristic
213C23×C4×C43C2311yescharacteristic
214C23×C4×C43C2311yescharacteristic
215C23×C4×C43C2311yescharacteristic
216C23×C4×C43C2311yescharacteristic
217C23×C4×C43C2311yescharacteristic
218C23×C4×C43C2311yescharacteristic
219C23×C4×C43C2311yescharacteristic
220C23×C4×C43C2311yescharacteristic
221#126×C43—42no—
222#124×C43—24no—
223#124×C43—42no—
224#123×C43—24no—
225#123×C43—24no—
226#123×C43—42no—
227C22⋊Q8×C43—42no—
228#121×C43—24no—
229#121×C43—24no—
230#121×C43—42no—
231#121×C43—42no—
232#121×C43—42no—
233#120×C43—42no—
234#120×C43—42no—
235#120×C43—42no—
236C4×D4×C43—42no—
237#117×C43—42no—
238C2×C4⋊C4×C43C2311yescharacteristic
239C2×C4⋊C4×C43C2311yescharacteristic
240C2×C4⋊C4×C43C2311yescharacteristic
241C2×C4⋊C4×C43C2311yescharacteristic
242C2×C4⋊C4×C43C2311yescharacteristic
243C2×C4⋊C4×C43C2311yescharacteristic
244C2×C4⋊C4×C43C2311yescharacteristic
245C2×C4⋊C4×C43C2311yescharacteristic
246C2×C4⋊C4×C43C2311yescharacteristic
247C2×C4⋊C4×C43C2311yescharacteristic
248C2×C4⋊C4×C43C2311yescharacteristic
249C2×C4⋊C4×C43C2311yescharacteristic
250C2×C4⋊C4×C43C2311yescharacteristic
251C2×C4⋊C4×C43C2311yescharacteristic
252C2×C4⋊C4×C43C2311yescharacteristic
253C2×C4⋊C4×C43C2311yescharacteristic
254C2×C4⋊C4×C43C2311yescharacteristic
255C2×C4⋊C4×C43C2311yescharacteristic
256C2×C4⋊C4×C43C2311yescharacteristic
257C2×C4⋊C4×C43C2311yescharacteristic
258C2×C22⋊C4×C43—24no—
259C2×C22⋊C4×C43—24no—
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×C22⋊C4×C43C2311yescharacteristic
302C2×C22⋊C4×C43C2311yescharacteristic
303C2×C22⋊C4×C43C2311yescharacteristic
304C2×C22⋊C4×C43C2311yescharacteristic
305C2×C22⋊C4×C43C2311yescharacteristic
306C2×C22⋊C4×C43C2311yescharacteristic
307C2×C22⋊C4×C43C2311yescharacteristic
308C2×C22⋊C4×C43C2311yescharacteristic
309C2×C22⋊C4×C43C2311yescharacteristic
310C2×C42×C43—42no—
311C2×C42×C43—42no—
312C2×C42×C43C2311yescharacteristic
313C2×C42×C43C2311yescharacteristic
314C2×C42×C43C2311yescharacteristic
315C2×C42×C43C2311yescharacteristic
316C2×C42×C43C2311yescharacteristic
317C2×C42×C43C2311yescharacteristic
318C2×C42×C43C2311yescharacteristic
319C2×C42×C43C2311yescharacteristic
320C2×C42×C43C2311yescharacteristic
321C2×C42×C43C2311yescharacteristic
322C2×C42×C43C2311yescharacteristic
323C2×C42×C43C2311yescharacteristic
324C2×C42×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
363#95×C43C2311yescharacteristic
364#95×C43C2311yescharacteristic
365#95×C43C2311yescharacteristic
366#95×C43C2311yescharacteristic
367#95×C43C2311yescharacteristic
368#95×C43C2311yescharacteristic
369C24×C43—22no—
370C24×C43—22no—
371C24×C43—22no—
372C24×C43—22no—
373C24×C43—22no—
374C24×C43—41no—
375C24×C43—41no—
376C24×C43C2411yescharacteristic
377C24×C43C2411yescharacteristic
378C24×C43C2411yescharacteristic
379C24×C43C2411yescharacteristic
380C24×C43C2411yescharacteristic
381C24×C43C2411yescharacteristic
382#41×C43—416no—
383C2×Q8×C43—22no—
384C2×Q8×C43—22no—
385C2×Q8×C43—41no—
386C2×Q8×C43—41no—
387C2×Q8×C43—41no—
388C2×Q8×C43—41no—
389C2×D4×C43—22no—
390C2×D4×C43—22no—
391C2×D4×C43—22no—
392C2×D4×C43—22no—
393C2×D4×C43—22no—
394C2×D4×C43—22no—
395C2×D4×C43—22no—
396C2×D4×C43—22no—
397C2×D4×C43—22no—
398C2×D4×C43—22no—
399C2×D4×C43—22no—
400C2×D4×C43—22no—
401C2×D4×C43—22no—
402C2×D4×C43—22no—
403C2×D4×C43—22no—
404C2×D4×C43—22no—
405C2×D4×C43—22no—
406C2×D4×C43—22no—
407C2×D4×C43—41no—
408C2×D4×C43—41no—
409C2×D4×C43—41no—
410C2×D4×C43—41no—
411C2×D4×C43—41no—
412C2×D4×C43—41no—
413C2×D4×C43—41no—
414C2×D4×C43—41no—
415C2×D4×C43—41no—
416C2×D4×C43—41no—
417C2×D4×C43—41no—
418C2×D4×C43—41no—
419C2×D4×C43—41no—
420C2×D4×C43—41no—
421C2×D4×C43—41no—
422C2×D4×C43—41no—
423C2×D4×C43—41no—
424C2×D4×C43—41no—
425C22×C4×C43—22no—
426C22×C4×C43—22no—
427C22×C4×C43—22no—
428C22×C4×C43—22no—
429C22×C4×C43—22no—
430C22×C4×C43—22no—
431C22×C4×C43—22no—
432C22×C4×C43—22no—
433C22×C4×C43—22no—
434C22×C4×C43—22no—
435C22×C4×C43—22no—
436C22×C4×C43—22no—
437C22×C4×C43—22no—
438C22×C4×C43—22no—
439C22×C4×C43—22no—
440C22×C4×C43—22no—
441C22×C4×C43—22no—
442C22×C4×C43—22no—
443C22×C4×C43—22no—
444C22×C4×C43—22no—
445C22×C4×C43—41no—
446C22×C4×C43—41no—
447C22×C4×C43—41no—
448C22×C4×C43—41no—
449C22×C4×C43—41no—
450C22×C4×C43—41no—
451C22×C4×C43—41no—
452C22×C4×C43—41no—
453C22×C4×C43—41no—
454C22×C4×C43—41no—
455C22×C4×C43—41no—
456C22×C4×C43—41no—
457C22×C4×C43—41no—
458C22×C4×C43—41no—
459C22×C4×C43—41no—
460C22×C4×C43—41no—
461C22×C4×C43—41no—
462C22×C4×C43—416no—
463C22×C4×C43#4114yes—
464C22×C4×C43#4114yescomplemented
465C22×C4×C43C2411yescharacteristic
466C22×C4×C43C2411yescharacteristic
467C22×C4×C43C2411yescharacteristic
468C22×C4×C43C2411yescharacteristic
469C22×C4×C43C2411yescharacteristic
470C22×C4×C43C2411yescharacteristic
471C22×C4×C43C2411yescharacteristic
472C22×C4×C43C2411yescharacteristic
473C22×C4×C43C2411yescharacteristic
474C22×C4×C43C2411yescharacteristic
475C22×C4×C43C2411yescharacteristic
476C22×C4×C43C2411yescharacteristic
477C22×C4×C43C2411yescharacteristic
478C22×C4×C43C2411yescharacteristic
479C22×C4×C43C2411yescharacteristic
480C22×C4×C43C2411yescharacteristic
481C22×C4×C43C2411yescharacteristic
482C22×C4×C43C2411yescharacteristic
483C22×C4×C43C2411yescharacteristic
484C22×C4×C43C2411yescharacteristic
485C22×C4×C43C2411yescharacteristic
486C22×C4×C43C2411yescharacteristic
487C22×C4×C43C2411yescharacteristic
488C22×C4×C43C2411yescharacteristic
489C22×C4×C43C2411yescharacteristic
490C4⋊C4×C43—22no—
491C4⋊C4×C43—22no—
492C4⋊C4×C43—22no—
493C4⋊C4×C43—22no—
494C4⋊C4×C43—22no—
495C4⋊C4×C43—22no—
496C4⋊C4×C43—22no—
497C4⋊C4×C43—41no—
498C4⋊C4×C43—41no—
499C4⋊C4×C43—41no—
500C4⋊C4×C43—41no—
501C4⋊C4×C43—41no—
502C4⋊C4×C43—41no—
503C4⋊C4×C43—41no—
504C4⋊C4×C43—41no—
505C4⋊C4×C43—41no—
506C4⋊C4×C43—41no—
507C4⋊C4×C43—41no—
508C4⋊C4×C43—41no—
509C4⋊C4×C43—41no—
510C22⋊C4×C43—22no—
511C22⋊C4×C43—22no—
512C22⋊C4×C43—22no—
513C22⋊C4×C43—22no—
514C22⋊C4×C43—22no—
515C22⋊C4×C43—22no—
516C22⋊C4×C43—22no—
517C22⋊C4×C43—22no—
518C22⋊C4×C43—22no—
519C22⋊C4×C43—22no—
520C22⋊C4×C43—22no—
521C22⋊C4×C43—22no—
522C22⋊C4×C43—22no—
523C22⋊C4×C43—22no—
524C22⋊C4×C43—22no—
525C22⋊C4×C43—22no—
526C22⋊C4×C43—22no—
527C22⋊C4×C43—22no—
528C22⋊C4×C43—22no—
529C22⋊C4×C43—22no—
530C22⋊C4×C43—22no—
531C22⋊C4×C43—22no—
532C22⋊C4×C43—22no—
533C22⋊C4×C43—22no—
534C22⋊C4×C43—22no—
535C22⋊C4×C43—22no—
536C22⋊C4×C43—41no—
537C22⋊C4×C43—41no—
538C22⋊C4×C43—41no—
539C22⋊C4×C43—41no—
540C22⋊C4×C43—41no—
541C22⋊C4×C43—41no—
542C22⋊C4×C43—41no—
543C22⋊C4×C43—41no—
544C22⋊C4×C43—41no—
545C22⋊C4×C43—41no—
546C22⋊C4×C43—41no—
547C22⋊C4×C43—41no—
548C22⋊C4×C43—41no—
549C22⋊C4×C43—41no—
550C22⋊C4×C43—41no—
551C22⋊C4×C43—41no—
552C22⋊C4×C43—41no—
553C22⋊C4×C43—41no—
554C22⋊C4×C43—41no—
555C22⋊C4×C43—41no—
556C22⋊C4×C43—41no—
557C22⋊C4×C43—41no—
558C22⋊C4×C43—41no—
559C22⋊C4×C43#4114yescomplemented
560C42×C43—22no—
561C42×C43—22no—
562C42×C43—22no—
563C42×C43—41no—
564C42×C43—41no—
565C42×C43—41no—
566C42×C43—41no—
567C42×C43—41no—
568C42×C43—41no—
569C42×C43—41no—
570C42×C43—41no—
571C42×C43—41no—
572C42×C43—41no—
573C23×C43—21no—
574C23×C43—21no—
575C23×C43—21no—
576C23×C43—21no—
577C23×C43—28no—
578C23×C43—21no—
579C23×C43—21no—
580C23×C43—21no—
581C23×C43—21no—
582C23×C43—21no—
583C23×C43—21no—
584C23×C43—21no—
585C23×C43—21no—
586C23×C43—21no—
587C23×C43—21no—
588C23×C43—21no—
589C23×C43—21no—
590C23×C43—21no—
591C23×C43—21no—
592C23×C43—21no—
593C23×C43—21no—
594C23×C43—21no—
595C23×C43—21no—
596C23×C43—21no—
597C23×C43—21no—
598C23×C43—21no—
599C23×C43—21no—
600C23×C43—21no—
601C23×C43—21no—
602C23×C43—21no—
603C23×C43—21no—
604C23×C43—21no—
605C23×C43—21no—
606C23×C43—21no—
607C23×C43—21no—
608C23×C43—21no—
609C23×C43—21no—
610C23×C43—21no—
611C23×C43—44no—
612C23×C43—44no—
613C23×C43—44no—
614C23×C43—44no—
615C23×C43—44no—
616C23×C43—44no—
617C23×C43C2×#4112yes—
618C23×C43C2×#4112yes—
619C23×C43C2×#4112yes—
620C23×C43H(5,𝔽2)12yes—
621C23×C43H(5,𝔽2)12yes—
622C23×C43C2511yescharacteristic
623Q8×C43—44no—
624Q8×C43—82no—
625D4×C43—44no—
626D4×C43—44no—
627D4×C43—44no—
628D4×C43—44no—
629D4×C43—82no—
630D4×C43—82no—
631D4×C43—82no—
632D4×C43—82no—
633D4×C43—82no—
634D4×C43—82no—
635D4×C43—82no—
636D4×C43—82no—
637C2×C4×C43—28no—
638C2×C4×C43—28no—
639C2×C4×C43—21no—
640C2×C4×C43—21no—
641C2×C4×C43—21no—
642C2×C4×C43—21no—
643C2×C4×C43—21no—
644C2×C4×C43—21no—
645C2×C4×C43—21no—
646C2×C4×C43—21no—
647C2×C4×C43—21no—
648C2×C4×C43—21no—
649C2×C4×C43—21no—
650C2×C4×C43—21no—
651C2×C4×C43—21no—
652C2×C4×C43—21no—
653C2×C4×C43—21no—
654C2×C4×C43—21no—
655C2×C4×C43—21no—
656C2×C4×C43—21no—
657C2×C4×C43—21no—
658C2×C4×C43—21no—
659C2×C4×C43—21no—
660C2×C4×C43—21no—
661C2×C4×C43—21no—
662C2×C4×C43—21no—
663C2×C4×C43—21no—
664C2×C4×C43—21no—
665C2×C4×C43—21no—
666C2×C4×C43—21no—
667C2×C4×C43—21no—
668C2×C4×C43—21no—
669C2×C4×C43—21no—
670C2×C4×C43—21no—
671C2×C4×C43—21no—
672C2×C4×C43—21no—
673C2×C4×C43—21no—
674C2×C4×C43—21no—
675C2×C4×C43—21no—
676C2×C4×C43—21no—
677C2×C4×C43—21no—
678C2×C4×C43—21no—
679C2×C4×C43—21no—
680C2×C4×C43—21no—
681C2×C4×C43—21no—
682C2×C4×C43—21no—
683C2×C4×C43—21no—
684C2×C4×C43—21no—
685C2×C4×C43—21no—
686C2×C4×C43—21no—
687C2×C4×C43—21no—
688C2×C4×C43—21no—
689C2×C4×C43—21no—
690C2×C4×C43—21no—
691C2×C4×C43—21no—
692C2×C4×C43—21no—
693C2×C4×C43—21no—
694C2×C4×C43—21no—
695C2×C4×C43—21no—
696C2×C4×C43—21no—
697C2×C4×C43—21no—
698C2×C4×C43—21no—
699C2×C4×C43—21no—
700C2×C4×C43—21no—
701C2×C4×C43—21no—
702C2×C4×C43—21no—
703C2×C4×C43—21no—
704C2×C4×C43—21no—
705C2×C4×C43—21no—
706C2×C4×C43—21no—
707C2×C4×C43—44no—
708C2×C4×C43—44no—
709C2×C4×C43—44no—
710C2×C4×C43—44no—
711C2×C4×C43—44no—
712C2×C4×C43—44no—
713C2×C4×C43—44no—
714C2×C4×C43—44no—
715C2×C4×C43—44no—
716C2×C4×C43—44no—
717C2×C4×C43—82no—
718C2×C4×C43C2×#4112yes—
719C2×C4×C43C2×#4112yes—
720C2×C4×C43C2×#4112yes—
721C2×C4×C43C2×#4112yes—
722C2×C4×C43C2×#4112yes—
723C2×C4×C43C2×#4112yes—
724C2×C4×C43H(5,𝔽2)12yes—
725#35053C4311yesmaximal, characteristic, direct product factor, Sylow
726C22×C43—22no—
727C22×C43—22no—
728C22×C43—22no—
729C22×C43—22no—
730C22×C43—22no—
731C22×C43—22no—
732C22×C43—22no—
733C22×C43—22no—
734C22×C43—22no—
735C22×C43—22no—
736C22×C43—22no—
737C22×C43—22no—
738C22×C43—416no—
739C22×C43—41no—
740C22×C43—41no—
741C22×C43—41no—
742C22×C43—41no—
743C22×C43—41no—
744C22×C43—41no—
745C22×C43—41no—
746C22×C43—41no—
747C22×C43—41no—
748C22×C43—41no—
749C22×C43—41no—
750C22×C43—41no—
751C22×C43—41no—
752C22×C43—41no—
753C22×C43—41no—
754C22×C43—41no—
755C22×C43—41no—
756C22×C43—41no—
757C22×C43—41no—
758C22×C43—41no—
759C22×C43—41no—
760C22×C43—41no—
761C22×C43—41no—
762C22×C43—41no—
763C22×C43—41no—
764C22×C43—41no—
765C22×C43—41no—
766C22×C43—41no—
767C22×C43—41no—
768C22×C43#53814yes—
769C22×C43C22×#4111yescharacteristic
770C22×C43C22×#4111yescharacteristic
771C22×C43C22×#4111yescharacteristic
772C22×C43C2×H(5,𝔽2)11yescharacteristic
773C22×C43C2×H(5,𝔽2)11yescharacteristic
774C22×C43C2×H(5,𝔽2)11yescharacteristic
775C22×C43#58511yescharacteristic
776C4×C43—22no—
777C4×C43—22no—
778C4×C43—22no—
779C4×C43—22no—
780C4×C43—22no—
781C4×C43—22no—
782C4×C43—22no—
783C4×C43—41no—
784C4×C43—41no—
785C4×C43—41no—
786C4×C43—41no—
787C4×C43—41no—
788C4×C43—41no—
789C4×C43—41no—
790C4×C43—41no—
791C4×C43—41no—
792C4×C43—41no—
793C4×C43—41no—
794C4×C43—41no—
795C4×C43—41no—
796C4×C43—41no—
797C4×C43—41no—
798C4×C43—41no—
799C4×C43—41no—
800C4×C43—41no—
801#2852C2×C4311yescharacteristic, complemented
802#2850C2×C4311yescharacteristic, complemented
803#2849C2×C4311yescharacteristic, complemented
804#2847C2×C4311yescharacteristic, complemented
805#2665C2×C4311yescharacteristic, complemented
806#2661C2×C4311yescharacteristic, complemented
807#2653C2×C4311yescharacteristic, complemented
808#2648C2×C4311yescharacteristic, complemented
809#2578C2×C4311yescharacteristic, complemented
810#2576C2×C4311yescharacteristic, complemented
811#2574C2×C4311yescharacteristic, complemented
812#2572C2×C4311yescharacteristic, complemented
813#2559C2×C4311yescharacteristic, complemented
814#2557C2×C4311yescharacteristic, complemented
815#2555C2×C4311yescharacteristic, complemented
816#2554C2×C4311yescharacteristic, complemented
817#2510C2×C4311yescharacteristic, complemented
818#2472C2×C4311yescharacteristic, complemented
819#2444C2×C4311yescharacteristic, complemented
820#2438C2×C4311yescharacteristic, complemented
821#2430C2×C4311yescharacteristic, complemented
822#2424C2×C4311yescharacteristic, complemented
823#2411C2×C4311yescharacteristic, complemented
824#2404C2×C4311yescharacteristic, complemented
825#2337C2×C4311yescharacteristic, complemented
826#2335C2×C4311yescharacteristic, complemented
827#2333C2×C4311yescharacteristic, complemented
828#2333C2×C4311yescharacteristic, complemented
829C4×#123C2×C4311yescharacteristic, complemented
830#2297C2×C4311yescharacteristic, complemented
831C2×C4×C22⋊C4C2×C4311yescharacteristic, complemented
832C2×C43—24no—
833C2×C43—42no—
834C2×C43—42no—
835C2×C43—81no—
836C2×C43—81no—
837C2×C43—81no—
838C2×C43#344411yescharacteristic
839C2×C43C2×#53811yescharacteristic
840C2×C43#346011yescharacteristic
841C2×C43#349011yescharacteristic
842C2×C43#349411yescharacteristic
843C2×C43#351311yescharacteristic
844C2×C43#351911yescharacteristic
845C22×#41C22×C4311yescharacteristic
846C24×C4C22×C4311yescharacteristic
847C2×#126C22×C4311yescharacteristic, complemented
848C2×#124C22×C4311yescharacteristic
849C2×#124C22×C4311yescharacteristic, complemented
850C2×#123C22×C4311yescharacteristic
851C2×#123C22×C4311yescharacteristic
852C2×#123C22×C4311yescharacteristic
853C2×C22⋊Q8C22×C4311yescharacteristic
854C2×#121C22×C4311yescharacteristic
855C2×#121C22×C4311yescharacteristic
856C2×#121C22×C4311yescharacteristic
857C2×#121C22×C4311yescharacteristic
858C2×#121C22×C4311yescharacteristic
859C2×#120C22×C4311yescharacteristic
860C2×#120C22×C4311yescharacteristic
861C2×#120C22×C4311yescharacteristic
862C2×C4×D4C22×C4311yescharacteristic
863C2×#117C22×C4311yescharacteristic
864C22×C22⋊C4C22×C4311yescharacteristic
865C22×C22⋊C4C22×C4311yescharacteristic
866C22×C42C22×C4311yescharacteristic
867C22×C42C22×C4311yescharacteristic
868#401C22×C4311yescharacteristic, complemented
869#400C22×C4311yescharacteristic, complemented
870#400C22×C4311yescharacteristic, complemented
871#400C22×C4311yescharacteristic, complemented
872#398C22×C4311yescharacteristic, complemented
873#398C22×C4311yescharacteristic, complemented
874#397C22×C4311yescharacteristic
875#397C22×C4311yescharacteristic, complemented
876#397C22×C4311yescharacteristic, complemented
877#397C22×C4311yescharacteristic, complemented
878#397C22×C4311yescharacteristic, complemented
879#396C22×C4311yescharacteristic
880#396C22×C4311yescharacteristic
881#396C22×C4311yescharacteristic
882#395C22×C4311yescharacteristic, complemented
883#395C22×C4311yescharacteristic, complemented
884#394C22×C4311yescharacteristic
885#394C22×C4311yescharacteristic
886#394C22×C4311yescharacteristic
887#394C22×C4311yescharacteristic
888#394C22×C4311yescharacteristic
889#394C22×C4311yescharacteristic
890#394C22×C4311yescharacteristic, complemented
891#394C22×C4311yescharacteristic, complemented
892#393C22×C4311yescharacteristic
893#393C22×C4311yescharacteristic
894#393C22×C4311yescharacteristic
895#393C22×C4311yescharacteristic, complemented
896#392C22×C4311yescharacteristic
897#392C22×C4311yescharacteristic
898#392C22×C4311yescharacteristic
899#392C22×C4311yescharacteristic, complemented
900#391C22×C4311yescharacteristic, complemented
901#391C22×C4311yescharacteristic, complemented
902#391C22×C4311yescharacteristic, complemented
903#391C22×C4311yescharacteristic, complemented
904#390C22×C4311yescharacteristic
905#390C22×C4311yescharacteristic
906#390C22×C4311yescharacteristic
907#390C22×C4311yescharacteristic
908#390C22×C4311yescharacteristic, complemented
909#390C22×C4311yescharacteristic, complemented
910#390C22×C4311yescharacteristic, complemented
911#389C22×C4311yescharacteristic, complemented
912#388C22×C4311yescharacteristic
913#388C22×C4311yescharacteristic
914#388C22×C4311yescharacteristic
915#388C22×C4311yescharacteristic
916#388C22×C4311yescharacteristic
917#388C22×C4311yescharacteristic, complemented
918#388C22×C4311yescharacteristic, complemented
919#388C22×C4311yescharacteristic, complemented
920#388C22×C4311yescharacteristic, complemented
921#388C22×C4311yescharacteristic, complemented
922#388C22×C4311yescharacteristic, complemented
923#388C22×C4311yescharacteristic, complemented
924#388C22×C4311yescharacteristic, complemented
925#388C22×C4311yescharacteristic, complemented
926#388C22×C4311yescharacteristic, complemented
927#388C22×C4311yescharacteristic, complemented
928#388C22×C4311yescharacteristic, complemented
929#387C22×C4311yescharacteristic, complemented
930#387C22×C4311yescharacteristic, complemented
931#387C22×C4311yescharacteristic, complemented
932#387C22×C4311yescharacteristic, complemented
933#387C22×C4311yescharacteristic, complemented
934#387C22×C4311yescharacteristic, complemented
935#387C22×C4311yescharacteristic, complemented
936#387C22×C4311yescharacteristic, complemented
937#387C22×C4311yescharacteristic, complemented
938#386C22×C4311yescharacteristic
939#386C22×C4311yescharacteristic
940#386C22×C4311yescharacteristic
941#386C22×C4311yescharacteristic
942#386C22×C4311yescharacteristic
943#386C22×C4311yescharacteristic
944#386C22×C4311yescharacteristic
945#386C22×C4311yescharacteristic
946#386C22×C4311yescharacteristic
947#386C22×C4311yescharacteristic
948#386C22×C4311yescharacteristic
949#386C22×C4311yescharacteristic
950#386C22×C4311yescharacteristic
951#386C22×C4311yescharacteristic
952#386C22×C4311yescharacteristic
953#386C22×C4311yescharacteristic
954#386C22×C4311yescharacteristic
955#386C22×C4311yescharacteristic
956#386C22×C4311yescharacteristic
957#386C22×C4311yescharacteristic
958#386C22×C4311yescharacteristic
959#386C22×C4311yescharacteristic, complemented
960#386C22×C4311yescharacteristic, complemented
961#386C22×C4311yescharacteristic, complemented
962#385C22×C4311yescharacteristic
963#385C22×C4311yescharacteristic
964#385C22×C4311yescharacteristic
965#385C22×C4311yescharacteristic
966#385C22×C4311yescharacteristic
967#385C22×C4311yescharacteristic
968#385C22×C4311yescharacteristic, complemented
969#385C22×C4311yescharacteristic, complemented
970#383C22×C4311yescharacteristic, complemented
971#383C22×C4311yescharacteristic, complemented
972#382C22×C4311yescharacteristic, complemented
973#381C22×C4311yescharacteristic
974#381C22×C4311yescharacteristic
975#381C22×C4311yescharacteristic
976#381C22×C4311yescharacteristic, complemented
977#380C22×C4311yescharacteristic
978#380C22×C4311yescharacteristic
979#380C22×C4311yescharacteristic
980#379C22×C4311yescharacteristic
981C4×C4⋊C4C22×C4311yescharacteristic, complemented
982C4×C4⋊C4C22×C4311yescharacteristic, complemented
983C4×C22⋊C4C22×C4311yescharacteristic
984C4×C22⋊C4C22×C4311yescharacteristic
985C4×C22⋊C4C22×C4311yescharacteristic
986C4×C22⋊C4C22×C4311yescharacteristic
987C4×C22⋊C4C22×C4311yescharacteristic
988C4×C22⋊C4C22×C4311yescharacteristic
989C4×C22⋊C4C22×C4311yescharacteristic
990C4×C22⋊C4C22×C4311yescharacteristic
991C4×C22⋊C4C22×C4311yescharacteristic
992C4×C22⋊C4C22×C4311yescharacteristic, complemented
993C4×C22⋊C4C22×C4311yescharacteristic, complemented
994C4×C22⋊C4C22×C4311yescharacteristic, complemented
995C4×C22⋊C4C22×C4311yescharacteristic, complemented
996C4×C22⋊C4C22×C4311yescharacteristic, complemented
997C4×C22⋊C4C22×C4311yescharacteristic, complemented
998C2×#95C22×C4311yescharacteristic
999C2×#95C22×C4311yescharacteristic
1000C43#3505311yescharacteristic, direct product factor, Sylow
1001C25C23×C4311yescharacteristic
1002C2×#41—24no—
1003C2×#41—42no—
1004C2×#41—42no—
1005C22×Q8C23×C4311yescharacteristic
1006C22×Q8C23×C4311yescharacteristic
1007C22×D4C23×C4311yescharacteristic
1008C22×D4C23×C4311yescharacteristic
1009C22×D4C23×C4311yescharacteristic
1010C22×D4C23×C4311yescharacteristic
1011C22×D4C23×C4311yescharacteristic
1012C22×D4C23×C4311yescharacteristic
1013C22×D4C23×C4311yescharacteristic
1014C22×D4C23×C4311yescharacteristic
1015C22×D4C23×C4311yescharacteristic
1016C22×D4C23×C4311yescharacteristic
1017C22×D4C23×C4311yescharacteristic
1018C22×D4C23×C4311yescharacteristic
1019C23×C4—24no—
1020C23×C4—42no—
1021C23×C4—42no—
1022C23×C4C23×C4311yescharacteristic
1023C23×C4C23×C4311yescharacteristic
1024C23×C4C23×C4311yescharacteristic
1025C23×C4C23×C4311yescharacteristic
1026C23×C4C23×C4311yescharacteristic
1027C23×C4C23×C4311yescharacteristic
1028C23×C4C23×C4311yescharacteristic
1029C23×C4C23×C4311yescharacteristic
1030C23×C4C23×C4311yescharacteristic
1031C23×C4C23×C4311yescharacteristic
1032C23×C4C23×C4311yescharacteristic
1033C23×C4C23×C4311yescharacteristic
1034C23×C4C23×C4311yescharacteristic
1035#126—42no—
1036#124—24no—
1037#124—42no—
1038#123—24no—
1039#123—24no—
1040#123—42no—
1041C22⋊Q8—42no—
1042#121—24no—
1043#121—24no—
1044#121—42no—
1045#121—42no—
1046#121—42no—
1047#120—42no—
1048#120—42no—
1049#120—42no—
1050C4×D4—42no—
1051#117—42no—
1052C2×C4⋊C4C23×C4311yescharacteristic
1053C2×C4⋊C4C23×C4311yescharacteristic
1054C2×C4⋊C4C23×C4311yescharacteristic
1055C2×C4⋊C4C23×C4311yescharacteristic
1056C2×C4⋊C4C23×C4311yescharacteristic
1057C2×C4⋊C4C23×C4311yescharacteristic
1058C2×C4⋊C4C23×C4311yescharacteristic
1059C2×C4⋊C4C23×C4311yescharacteristic
1060C2×C4⋊C4C23×C4311yescharacteristic
1061C2×C4⋊C4C23×C4311yescharacteristic
1062C2×C4⋊C4C23×C4311yescharacteristic
1063C2×C4⋊C4C23×C4311yescharacteristic
1064C2×C4⋊C4C23×C4311yescharacteristic
1065C2×C4⋊C4C23×C4311yescharacteristic
1066C2×C4⋊C4C23×C4311yescharacteristic
1067C2×C4⋊C4C23×C4311yescharacteristic
1068C2×C4⋊C4C23×C4311yescharacteristic
1069C2×C4⋊C4C23×C4311yescharacteristic
1070C2×C4⋊C4C23×C4311yescharacteristic
1071C2×C4⋊C4C23×C4311yescharacteristic
1072C2×C22⋊C4—24no—
1073C2×C22⋊C4—24no—
1074C2×C22⋊C4C23×C4311yescharacteristic
1075C2×C22⋊C4C23×C4311yescharacteristic
1076C2×C22⋊C4C23×C4311yescharacteristic
1077C2×C22⋊C4C23×C4311yescharacteristic
1078C2×C22⋊C4C23×C4311yescharacteristic
1079C2×C22⋊C4C23×C4311yescharacteristic
1080C2×C22⋊C4C23×C4311yescharacteristic
1081C2×C22⋊C4C23×C4311yescharacteristic
1082C2×C22⋊C4C23×C4311yescharacteristic
1083C2×C22⋊C4C23×C4311yescharacteristic
1084C2×C22⋊C4C23×C4311yescharacteristic
1085C2×C22⋊C4C23×C4311yescharacteristic
1086C2×C22⋊C4C23×C4311yescharacteristic
1087C2×C22⋊C4C23×C4311yescharacteristic
1088C2×C22⋊C4C23×C4311yescharacteristic
1089C2×C22⋊C4C23×C4311yescharacteristic
1090C2×C22⋊C4C23×C4311yescharacteristic
1091C2×C22⋊C4C23×C4311yescharacteristic
1092C2×C22⋊C4C23×C4311yescharacteristic
1093C2×C22⋊C4C23×C4311yescharacteristic
1094C2×C22⋊C4C23×C4311yescharacteristic
1095C2×C22⋊C4C23×C4311yescharacteristic
1096C2×C22⋊C4C23×C4311yescharacteristic
1097C2×C22⋊C4C23×C4311yescharacteristic
1098C2×C22⋊C4C23×C4311yescharacteristic
1099C2×C22⋊C4C23×C4311yescharacteristic
1100C2×C22⋊C4C23×C4311yescharacteristic
1101C2×C22⋊C4C23×C4311yescharacteristic
1102C2×C22⋊C4C23×C4311yescharacteristic
1103C2×C22⋊C4C23×C4311yescharacteristic
1104C2×C22⋊C4C23×C4311yescharacteristic
1105C2×C22⋊C4C23×C4311yescharacteristic
1106C2×C22⋊C4C23×C4311yescharacteristic
1107C2×C22⋊C4C23×C4311yescharacteristic
1108C2×C22⋊C4C23×C4311yescharacteristic
1109C2×C22⋊C4C23×C4311yescharacteristic
1110C2×C22⋊C4C23×C4311yescharacteristic
1111C2×C22⋊C4C23×C4311yescharacteristic
1112C2×C22⋊C4C23×C4311yescharacteristic
1113C2×C22⋊C4C23×C4311yescharacteristic
1114C2×C22⋊C4C23×C4311yescharacteristic
1115C2×C22⋊C4C23×C4311yescharacteristic
1116C2×C22⋊C4C23×C4311yescharacteristic
1117C2×C22⋊C4C23×C4311yescharacteristic
1118C2×C22⋊C4C23×C4311yescharacteristic
1119C2×C22⋊C4C23×C4311yescharacteristic
1120C2×C22⋊C4C23×C4311yescharacteristic
1121C2×C22⋊C4C23×C4311yescharacteristic
1122C2×C22⋊C4C23×C4311yescharacteristic
1123C2×C22⋊C4C23×C4311yescharacteristic
1124C2×C42—42no—
1125C2×C42—42no—
1126C2×C42C23×C4311yescharacteristic
1127C2×C42C23×C4311yescharacteristic
1128C2×C42C23×C4311yescharacteristic
1129C2×C42C23×C4311yescharacteristic
1130C2×C42C23×C4311yescharacteristic
1131C2×C42C23×C4311yescharacteristic
1132C2×C42C23×C4311yescharacteristic
1133C2×C42C23×C4311yescharacteristic
1134C2×C42C23×C4311yescharacteristic
1135C2×C42C23×C4311yescharacteristic
1136C2×C42C23×C4311yescharacteristic
1137C2×C42C23×C4311yescharacteristic
1138C2×C42C23×C4311yescharacteristic
1139#95C23×C4311yescharacteristic
1140#95C23×C4311yescharacteristic
1141#95C23×C4311yescharacteristic
1142#95C23×C4311yescharacteristic
1143#95C23×C4311yescharacteristic
1144#95C23×C4311yescharacteristic
1145#95C23×C4311yescharacteristic
1146#95C23×C4311yescharacteristic
1147#95C23×C4311yescharacteristic
1148#95C23×C4311yescharacteristic
1149#95C23×C4311yescharacteristic
1150#95C23×C4311yescharacteristic
1151#95C23×C4311yescharacteristic
1152#95C23×C4311yescharacteristic
1153#95C23×C4311yescharacteristic
1154#95C23×C4311yescharacteristic
1155#95C23×C4311yescharacteristic
1156#95C23×C4311yescharacteristic
1157#95C23×C4311yescharacteristic
1158#95C23×C4311yescharacteristic
1159#95C23×C4311yescharacteristic
1160#95C23×C4311yescharacteristic
1161#95C23×C4311yescharacteristic
1162#95C23×C4311yescharacteristic
1163#95C23×C4311yescharacteristic
1164#95C23×C4311yescharacteristic
1165#95C23×C4311yescharacteristic
1166#95C23×C4311yescharacteristic
1167#95C23×C4311yescharacteristic
1168#95C23×C4311yescharacteristic
1169#95C23×C4311yescharacteristic
1170#95C23×C4311yescharacteristic
1171#95C23×C4311yescharacteristic
1172#95C23×C4311yescharacteristic
1173#95C23×C4311yescharacteristic
1174#95C23×C4311yescharacteristic
1175#95C23×C4311yescharacteristic
1176#95C23×C4311yescharacteristic
1177#95C23×C4311yescharacteristic
1178#95C23×C4311yescharacteristic
1179#95C23×C4311yescharacteristic
1180#95C23×C4311yescharacteristic
1181#95C23×C4311yescharacteristic
1182#95C23×C4311yescharacteristic
1183C24—22no—
1184C24—22no—
1185C24—22no—
1186C24—22no—
1187C24—22no—
1188C24—41no—
1189C24—41no—
1190C24C24×C4311yescharacteristic
1191C24C24×C4311yescharacteristic
1192C24C24×C4311yescharacteristic
1193C24C24×C4311yescharacteristic
1194C24C24×C4311yescharacteristic
1195C24C24×C4311yescharacteristic
1196#41—416no—
1197C2×Q8—22no—
1198C2×Q8—22no—
1199C2×Q8—41no—
1200C2×Q8—41no—
1201C2×Q8—41no—
1202C2×Q8—41no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—22no—
1210C2×D4—22no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—22no—
1214C2×D4—22no—
1215C2×D4—22no—
1216C2×D4—22no—
1217C2×D4—22no—
1218C2×D4—22no—
1219C2×D4—22no—
1220C2×D4—22no—
1221C2×D4—41no—
1222C2×D4—41no—
1223C2×D4—41no—
1224C2×D4—41no—
1225C2×D4—41no—
1226C2×D4—41no—
1227C2×D4—41no—
1228C2×D4—41no—
1229C2×D4—41no—
1230C2×D4—41no—
1231C2×D4—41no—
1232C2×D4—41no—
1233C2×D4—41no—
1234C2×D4—41no—
1235C2×D4—41no—
1236C2×D4—41no—
1237C2×D4—41no—
1238C2×D4—41no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—22no—
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—41no—
1260C22×C4—41no—
1261C22×C4—41no—
1262C22×C4—41no—
1263C22×C4—41no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—41no—
1269C22×C4—41no—
1270C22×C4—41no—
1271C22×C4—41no—
1272C22×C4—41no—
1273C22×C4—41no—
1274C22×C4—41no—
1275C22×C4—41no—
1276C22×C4—416no—
1277C22×C4#41×C4314yes—
1278C22×C4#41×C4314yescomplemented
1279C22×C4C24×C4311yescharacteristic
1280C22×C4C24×C4311yescharacteristic
1281C22×C4C24×C4311yescharacteristic
1282C22×C4C24×C4311yescharacteristic
1283C22×C4C24×C4311yescharacteristic
1284C22×C4C24×C4311yescharacteristic
1285C22×C4C24×C4311yescharacteristic
1286C22×C4C24×C4311yescharacteristic
1287C22×C4C24×C4311yescharacteristic
1288C22×C4C24×C4311yescharacteristic
1289C22×C4C24×C4311yescharacteristic
1290C22×C4C24×C4311yescharacteristic
1291C22×C4C24×C4311yescharacteristic
1292C22×C4C24×C4311yescharacteristic
1293C22×C4C24×C4311yescharacteristic
1294C22×C4C24×C4311yescharacteristic
1295C22×C4C24×C4311yescharacteristic
1296C22×C4C24×C4311yescharacteristic
1297C22×C4C24×C4311yescharacteristic
1298C22×C4C24×C4311yescharacteristic
1299C22×C4C24×C4311yescharacteristic
1300C22×C4C24×C4311yescharacteristic
1301C22×C4C24×C4311yescharacteristic
1302C22×C4C24×C4311yescharacteristic
1303C22×C4C24×C4311yescharacteristic
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—41no—
1312C4⋊C4—41no—
1313C4⋊C4—41no—
1314C4⋊C4—41no—
1315C4⋊C4—41no—
1316C4⋊C4—41no—
1317C4⋊C4—41no—
1318C4⋊C4—41no—
1319C4⋊C4—41no—
1320C4⋊C4—41no—
1321C4⋊C4—41no—
1322C4⋊C4—41no—
1323C4⋊C4—41no—
1324C22⋊C4—22no—
1325C22⋊C4—22no—
1326C22⋊C4—22no—
1327C22⋊C4—22no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—22no—
1340C22⋊C4—22no—
1341C22⋊C4—22no—
1342C22⋊C4—22no—
1343C22⋊C4—22no—
1344C22⋊C4—22no—
1345C22⋊C4—22no—
1346C22⋊C4—22no—
1347C22⋊C4—22no—
1348C22⋊C4—22no—
1349C22⋊C4—22no—
1350C22⋊C4—41no—
1351C22⋊C4—41no—
1352C22⋊C4—41no—
1353C22⋊C4—41no—
1354C22⋊C4—41no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
1363C22⋊C4—41no—
1364C22⋊C4—41no—
1365C22⋊C4—41no—
1366C22⋊C4—41no—
1367C22⋊C4—41no—
1368C22⋊C4—41no—
1369C22⋊C4—41no—
1370C22⋊C4—41no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4#41×C4314yescomplemented
1374C42—22no—
1375C42—22no—
1376C42—22no—
1377C42—41no—
1378C42—41no—
1379C42—41no—
1380C42—41no—
1381C42—41no—
1382C42—41no—
1383C42—41no—
1384C42—41no—
1385C42—41no—
1386C42—41no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—28no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—44no—
1426C23—44no—
1427C23—44no—
1428C23—44no—
1429C23—44no—
1430C23—44no—
1431C23C2×#41×C4312yes—
1432C23C2×#41×C4312yes—
1433C23C2×#41×C4312yes—
1434C23H(5,𝔽2)×C4312yes—
1435C23H(5,𝔽2)×C4312yes—
1436C23C25×C4311yescharacteristic
1437Q8—44no—
1438Q8—82no—
1439D4—44no—
1440D4—44no—
1441D4—44no—
1442D4—44no—
1443D4—82no—
1444D4—82no—
1445D4—82no—
1446D4—82no—
1447D4—82no—
1448D4—82no—
1449D4—82no—
1450D4—82no—
1451C2×C4—28no—
1452C2×C4—28no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—44no—
1522C2×C4—44no—
1523C2×C4—44no—
1524C2×C4—44no—
1525C2×C4—44no—
1526C2×C4—44no—
1527C2×C4—44no—
1528C2×C4—44no—
1529C2×C4—44no—
1530C2×C4—44no—
1531C2×C4—82no—
1532C2×C4C2×#41×C4312yes—
1533C2×C4C2×#41×C4312yes—
1534C2×C4C2×#41×C4312yes—
1535C2×C4C2×#41×C4312yes—
1536C2×C4C2×#41×C4312yes—
1537C2×C4C2×#41×C4312yes—
1538C2×C4H(5,𝔽2)×C4312yes—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—416no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22—41no—
1577C22—41no—
1578C22—41no—
1579C22—41no—
1580C22—41no—
1581C22C43×#53814yes—
1582C22C22×#41×C4311yescharacteristic
1583C22C22×#41×C4311yescharacteristic
1584C22C22×#41×C4311yescharacteristic
1585C22C2×H(5,𝔽2)×C4311yescharacteristic
1586C22C2×H(5,𝔽2)×C4311yescharacteristic
1587C22C2×H(5,𝔽2)×C4311yescharacteristic
1588C22C43×#58511yescharacteristic
1589C4—22no—
1590C4—22no—
1591C4—22no—
1592C4—22no—
1593C4—22no—
1594C4—22no—
1595C4—22no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—41no—
1611C4—41no—
1612C4—41no—
1613C4—41no—
1614C2—24no—
1615C2—42no—
1616C2—42no—
1617C2—81no—
1618C2—81no—
1619C2—81no—
1620C2C43×#344411yescharacteristic
1621C2C2×C43×#53811yescharacteristic
1622C2C43×#346011yescharacteristic
1623C2C43×#349011yescharacteristic
1624C2C43×#349411yescharacteristic
1625C2C43×#351311yescharacteristic
1626C2C43×#351911yescharacteristic
subgroupG/H
center, socleC23×C43C25
commutator, Frattini, cosocleC23C25×C43
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C43 ◁ G

Complements

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

NH ≅ G/Ntype
1. C43×#2852C2semidirect
2. C43×#2850C2semidirect
3. C43×#2849C2semidirect
4. C43×#2847C2semidirect
5. C43×#2665C2semidirect
6. C43×#2661C2semidirect
7. C43×#2653C2semidirect
8. C43×#2648C2semidirect
9. C43×#2578C2semidirect
10. C43×#2576C2semidirect
11. C43×#2574C2semidirect
12. C43×#2572C2semidirect
13. C43×#2559C2semidirect
14. C43×#2557C2semidirect
15. C43×#2555C2semidirect
16. C43×#2554C2semidirect
17. C43×#2510C2semidirect
18. C43×#2472C2semidirect
19. C43×#2444C2semidirect
20. C43×#2438C2semidirect
21. C43×#2430C2semidirect
22. C43×#2424C2semidirect
23. C43×#2411C2semidirect
24. C43×#2404C2semidirect
25. C43×#2337C2semidirect
26. C43×#2335C2semidirect
27. C43×#2333C2semidirect
28. C43×#2333C2semidirect
29. C4×#123×C43C2semidirect
30. C43×#2297C2semidirect
31. C2×C4×C22⋊C4×C43C2semidirect
34. C2×#126×C43C22semidirect
36. C2×#124×C43C22semidirect
55. C43×#401C22semidirect
56. C43×#400C22semidirect
57. C43×#400C22semidirect
58. C43×#400C22semidirect
59. C43×#398C22semidirect
60. C43×#398C22semidirect
62. C43×#397C22semidirect
63. C43×#397C22semidirect
64. C43×#397C22semidirect
65. C43×#397C22semidirect
69. C43×#395C22semidirect
70. C43×#395C22semidirect
77. C43×#394C22semidirect
78. C43×#394C22semidirect
82. C43×#393C22semidirect
86. C43×#392C22semidirect
87. C43×#391C22semidirect
88. C43×#391C22semidirect
89. C43×#391C22semidirect
90. C43×#391C22semidirect
95. C43×#390C22semidirect
96. C43×#390C22semidirect
97. C43×#390C22semidirect
98. C43×#389C22semidirect
104. C43×#388C22semidirect
105. C43×#388C22semidirect
106. C43×#388C22semidirect
107. C43×#388C22semidirect
108. C43×#388C22semidirect
109. C43×#388C22semidirect
110. C43×#388C22semidirect
111. C43×#388C22semidirect
112. C43×#388C22semidirect
113. C43×#388C22semidirect
114. C43×#388C22semidirect
115. C43×#388C22semidirect
116. C43×#387C22semidirect
117. C43×#387C22semidirect
118. C43×#387C22semidirect
119. C43×#387C22semidirect
120. C43×#387C22semidirect
121. C43×#387C22semidirect
122. C43×#387C22semidirect
123. C43×#387C22semidirect
124. C43×#387C22semidirect
146. C43×#386C22semidirect
147. C43×#386C22semidirect
148. C43×#386C22semidirect
155. C43×#385C22semidirect
156. C43×#385C22semidirect
157. C43×#383C22semidirect
158. C43×#383C22semidirect
159. C43×#382C22semidirect
163. C43×#381C22semidirect
168. C4×C4⋊C4×C43C22semidirect
169. 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. C4×C22⋊C4×C43C22semidirect
184. C4×C22⋊C4×C43C22semidirect
464. C22×C4×C43#41semidirect
559. C22⋊C4×C43#41semidirect
725. #35053C43direct (N × H)
801. #2852C2×C43semidirect
802. #2850C2×C43semidirect
803. #2849C2×C43semidirect
804. #2847C2×C43semidirect
805. #2665C2×C43semidirect
806. #2661C2×C43semidirect
807. #2653C2×C43semidirect
808. #2648C2×C43semidirect
809. #2578C2×C43semidirect
810. #2576C2×C43semidirect
811. #2574C2×C43semidirect
812. #2572C2×C43semidirect
813. #2559C2×C43semidirect
814. #2557C2×C43semidirect
815. #2555C2×C43semidirect
816. #2554C2×C43semidirect
817. #2510C2×C43semidirect
818. #2472C2×C43semidirect
819. #2444C2×C43semidirect
820. #2438C2×C43semidirect
821. #2430C2×C43semidirect
822. #2424C2×C43semidirect
823. #2411C2×C43semidirect
824. #2404C2×C43semidirect
825. #2337C2×C43semidirect
826. #2335C2×C43semidirect
827. #2333C2×C43semidirect
828. #2333C2×C43semidirect
829. C4×#123C2×C43semidirect
830. #2297C2×C43semidirect
831. C2×C4×C22⋊C4C2×C43semidirect
847. C2×#126C22×C43semidirect
849. C2×#124C22×C43semidirect
868. #401C22×C43semidirect
869. #400C22×C43semidirect
870. #400C22×C43semidirect
871. #400C22×C43semidirect
872. #398C22×C43semidirect
873. #398C22×C43semidirect
875. #397C22×C43semidirect
876. #397C22×C43semidirect
877. #397C22×C43semidirect
878. #397C22×C43semidirect
882. #395C22×C43semidirect
883. #395C22×C43semidirect
890. #394C22×C43semidirect
891. #394C22×C43semidirect
895. #393C22×C43semidirect
899. #392C22×C43semidirect
900. #391C22×C43semidirect
901. #391C22×C43semidirect
902. #391C22×C43semidirect
903. #391C22×C43semidirect
908. #390C22×C43semidirect
909. #390C22×C43semidirect
910. #390C22×C43semidirect
911. #389C22×C43semidirect
917. #388C22×C43semidirect
918. #388C22×C43semidirect
919. #388C22×C43semidirect
920. #388C22×C43semidirect
921. #388C22×C43semidirect
922. #388C22×C43semidirect
923. #388C22×C43semidirect
924. #388C22×C43semidirect
925. #388C22×C43semidirect
926. #388C22×C43semidirect
927. #388C22×C43semidirect
928. #388C22×C43semidirect
929. #387C22×C43semidirect
930. #387C22×C43semidirect
931. #387C22×C43semidirect
932. #387C22×C43semidirect
933. #387C22×C43semidirect
934. #387C22×C43semidirect
935. #387C22×C43semidirect
936. #387C22×C43semidirect
937. #387C22×C43semidirect
959. #386C22×C43semidirect
960. #386C22×C43semidirect
961. #386C22×C43semidirect
968. #385C22×C43semidirect
969. #385C22×C43semidirect
970. #383C22×C43semidirect
971. #383C22×C43semidirect
972. #382C22×C43semidirect
976. #381C22×C43semidirect
981. C4×C4⋊C4C22×C43semidirect
982. C4×C4⋊C4C22×C43semidirect
992. C4×C22⋊C4C22×C43semidirect
993. C4×C22⋊C4C22×C43semidirect
994. C4×C22⋊C4C22×C43semidirect
995. C4×C22⋊C4C22×C43semidirect
996. C4×C22⋊C4C22×C43semidirect
997. C4×C22⋊C4C22×C43semidirect
1000. C43#35053direct (N × H)
1278. C22×C4#41×C43semidirect
1373. C22⋊C4#41×C43semidirect

Maximal subgroups

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

subgroupindex
C43×#28522
C43×#28502
C43×#28492
C43×#28472
C43×#26652
C43×#26612
C43×#26532
C43×#26482
C43×#25782
C43×#25762
C43×#25742
C43×#25722
C43×#25592
C43×#25572
C43×#25552
C43×#25542
C43×#25102
C43×#24722
C43×#24442
C43×#24382
C43×#24302
C43×#24242
C43×#24112
C43×#24042
C43×#23372
C43×#23352
C43×#23332
C4×#123×C432
C43×#22972
C2×C4×C22⋊C4×C432
#3505343