Finite Group Databasebeta

← C43×#36754 #24956771

Subgroups — C43×#36754 #24956771

Order 11008.

1588 conjugacy classes of subgroups.

The subgroup lattice has 1366 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C43×#2857C211yesmaximal, characteristic, complemented
2C43×#2855C211yesmaximal, characteristic, complemented
3C43×#2802C211yesmaximal, characteristic, complemented
4C43×#2792C211yesmaximal, characteristic, complemented
5C43×#2790C211yesmaximal, characteristic, complemented
6C43×#2788C211yesmaximal, characteristic, complemented
7C43×#2784C211yesmaximal, characteristic
8C43×#2780C211yesmaximal, characteristic
9C43×#2774C211yesmaximal, characteristic, complemented
10C43×#2768C211yesmaximal, characteristic, complemented
11C43×#2734C211yesmaximal, characteristic, complemented
12C43×#2729C211yesmaximal, characteristic, complemented
13C43×#2729C211yesmaximal, characteristic, complemented
14C43×#2704C211yesmaximal, characteristic, complemented
15C43×#2704C211yesmaximal, characteristic, complemented
16C43×#2692C211yesmaximal, characteristic
17C43×#2683C211yesmaximal, characteristic
18C43×#2677C211yesmaximal, characteristic, complemented
19C43×#2667C211yesmaximal, characteristic, complemented
20C43×#2665C211yesmaximal, characteristic, complemented
21C43×#2612C211yesmaximal, characteristic, complemented
22C43×#2608C211yesmaximal, characteristic, complemented
23C43×#2606C211yesmaximal, characteristic, complemented
24C43×#2605C211yesmaximal, characteristic, complemented
25C43×#2550C211yesmaximal, characteristic, complemented
26C43×#2549C211yesmaximal, characteristic, complemented
27C43×#2439C211yesmaximal, characteristic, complemented
28C43×#2438C211yesmaximal, characteristic, complemented
29C43×#2319C211yesmaximal, characteristic
30C43×#2318C211yesmaximal, characteristic
31C43×#2290C211yesmaximal, characteristic
32C2×C4⋊Q8×C43C2211yescharacteristic
33C2×C4⋊Q8×C43C2211yescharacteristic
34C2×C4⋊Q8×C43C2211yescharacteristic
35C2×#125×C43C2211yescharacteristic
36C2×C22⋊Q8×C43C2211yescharacteristic
37C2×C22⋊Q8×C43C2211yescharacteristic
38C2×C22⋊Q8×C43C2211yescharacteristic
39C2×C22⋊Q8×C43C2211yescharacteristic
40C2×C22⋊Q8×C43C2211yescharacteristic
41C2×C22⋊Q8×C43C2211yescharacteristic
42C2×C4×D4×C43C2211yescharacteristic
43C2×#117×C43C2211yescharacteristic
44C22×C42×C43C2211yescharacteristic
45C43×#400C2211yescharacteristic
46C43×#400C2211yescharacteristic
47C43×#400C2211yescharacteristic
48C43×#400C2211yescharacteristic
49C43×#400C2211yescharacteristic
50C43×#400C2211yescharacteristic
51C43×#399C2211yescharacteristic
52C43×#399C2211yescharacteristic
53C43×#398C2211yescharacteristic
54C43×#398C2211yescharacteristic
55C43×#398C2211yescharacteristic
56C43×#398C2211yescharacteristic
57C43×#398C2211yescharacteristic
58C43×#398C2211yescharacteristic
59C43×#398C2211yescharacteristic
60C43×#398C2211yescharacteristic
61C43×#398C2211yescharacteristic
62C43×#398C2211yescharacteristic
63C43×#398C2211yescharacteristic
64C43×#398C2211yescharacteristic
65C43×#398C2211yescharacteristic
66C43×#398C2211yescharacteristic
67C43×#398C2211yescharacteristic
68C43×#398C2211yescharacteristic
69C43×#396C2211yescharacteristic
70C43×#396C2211yescharacteristic
71C43×#396C2211yescharacteristic
72C43×#396C2211yescharacteristic
73C43×#396C2211yescharacteristic
74C43×#396C2211yescharacteristic
75C43×#396C2211yescharacteristic
76C43×#396C2211yescharacteristic
77C43×#396C2211yescharacteristic
78C43×#396C2211yescharacteristic
79C43×#395C2211yescharacteristic
80C43×#395C2211yescharacteristic
81C43×#395C2211yescharacteristic
82C43×#395C2211yescharacteristic
83C43×#395C2211yescharacteristic
84C43×#395C2211yescharacteristic
85C43×#395C2211yescharacteristic
86C43×#395C2211yescharacteristic
87C43×#395C2211yescharacteristic
88C43×#395C2211yescharacteristic
89C43×#393C2211yescharacteristic
90C43×#393C2211yescharacteristic
91C43×#393C2211yescharacteristic
92C43×#393C2211yescharacteristic
93C43×#391C2211yescharacteristic
94C43×#391C2211yescharacteristic
95C43×#391C2211yescharacteristic
96C43×#391C2211yescharacteristic
97C43×#391C2211yescharacteristic
98C43×#391C2211yescharacteristic
99C43×#391C2211yescharacteristic
100C43×#391C2211yescharacteristic
101C43×#391C2211yescharacteristic
102C43×#390C2211yescharacteristic
103C43×#390C2211yescharacteristic
104C43×#389C2211yescharacteristic
105C43×#389C2211yescharacteristic
106C43×#389C2211yescharacteristic
107C43×#389C2211yescharacteristic
108C43×#389C2211yescharacteristic
109C43×#389C2211yescharacteristic
110C43×#389C2211yescharacteristic
111C43×#389C2211yescharacteristic
112C43×#389C2211yescharacteristic
113C43×#389C2211yescharacteristic
114C43×#389C2211yescharacteristic
115C43×#389C2211yescharacteristic
116C43×#389C2211yescharacteristic
117C43×#389C2211yescharacteristic
118C43×#389C2211yescharacteristic
119C43×#389C2211yescharacteristic
120C43×#389C2211yescharacteristic
121C43×#389C2211yescharacteristic
122C43×#389C2211yescharacteristic
123C43×#388C2211yescharacteristic
124C43×#388C2211yescharacteristic
125C43×#388C2211yescharacteristic
126C43×#388C2211yescharacteristic
127C43×#388C2211yescharacteristic
128C43×#388C2211yescharacteristic
129C43×#388C2211yescharacteristic
130C43×#388C2211yescharacteristic
131C43×#387C2211yescharacteristic
132C43×#387C2211yescharacteristic
133C43×#387C2211yescharacteristic
134C43×#387C2211yescharacteristic
135C43×#387C2211yescharacteristic
136C43×#387C2211yescharacteristic
137C43×#387C2211yescharacteristic
138C43×#387C2211yescharacteristic
139C43×#387C2211yescharacteristic
140C43×#387C2211yescharacteristic
141C43×#387C2211yescharacteristic
142C43×#387C2211yescharacteristic
143C43×#387C2211yescharacteristic
144C43×#387C2211yescharacteristic
145C43×#387C2211yescharacteristic
146C43×#387C2211yescharacteristic
147C43×#387C2211yescharacteristic
148C43×#387C2211yescharacteristic
149C43×#387C2211yescharacteristic
150C43×#387C2211yescharacteristic
151C43×#386C2211yescharacteristic
152C43×#386C2211yescharacteristic
153C43×#386C2211yescharacteristic
154C43×#386C2211yescharacteristic
155C43×#385C2211yescharacteristic
156C43×#385C2211yescharacteristic
157C43×#385C2211yescharacteristic
158C43×#385C2211yescharacteristic
159C43×#385C2211yescharacteristic
160C43×#385C2211yescharacteristic
161C43×#385C2211yescharacteristic
162C43×#385C2211yescharacteristic
163C43×#385C2211yescharacteristic
164C43×#385C2211yescharacteristic
165C43×#384C2211yescharacteristic
166C43×#383C2211yescharacteristic
167C43×#382C2211yescharacteristic
168C43×#382C2211yescharacteristic
169C43×#381C2211yescharacteristic
170C43×#381C2211yescharacteristic
171C43×#381C2211yescharacteristic
172C43×#380C2211yescharacteristic
173C43×#380C2211yescharacteristic
174C43×#380C2211yescharacteristic
175C43×#380C2211yescharacteristic
176C43×#380C2211yescharacteristic
177C43×#380C2211yescharacteristic
178C43×#380C2211yescharacteristic
179C4×C4⋊C4×C43C2211yescharacteristic
180C4×C4⋊C4×C43C2211yescharacteristic
181C4×C22⋊C4×C43C2211yescharacteristic
182C4×C22⋊C4×C43C2211yescharacteristic
183C4×C22⋊C4×C43C2211yescharacteristic
184C43×#376C2211yescharacteristic
185C43×#376C2211yescharacteristic
186C2×#95×C43C2211yescharacteristic
187C22×Q8×C43C2311yescharacteristic
188C22×Q8×C43C2311yescharacteristic
189C22×Q8×C43C2311yescharacteristic
190C22×Q8×C43C2311yescharacteristic
191C22×Q8×C43C2311yescharacteristic
192C22×D4×C43C2311yescharacteristic
193C23×C4×C43C2311yescharacteristic
194C23×C4×C43C2311yescharacteristic
195C23×C4×C43C2311yescharacteristic
196C23×C4×C43C2311yescharacteristic
197C23×C4×C43C2311yescharacteristic
198C23×C4×C43C2311yescharacteristic
199C4⋊Q8×C43—42no—
200C4⋊Q8×C43—42no—
201C4⋊Q8×C43—42no—
202#125×C43—42no—
203C22⋊Q8×C43—42no—
204C22⋊Q8×C43—42no—
205C22⋊Q8×C43—42no—
206C22⋊Q8×C43—42no—
207C22⋊Q8×C43—42no—
208C22⋊Q8×C43—42no—
209C4×D4×C43Q818yescomplemented
210#117×C43—42no—
211C2×C4⋊C4×C43C2311yescharacteristic
212C2×C4⋊C4×C43C2311yescharacteristic
213C2×C4⋊C4×C43C2311yescharacteristic
214C2×C4⋊C4×C43C2311yescharacteristic
215C2×C4⋊C4×C43C2311yescharacteristic
216C2×C4⋊C4×C43C2311yescharacteristic
217C2×C4⋊C4×C43C2311yescharacteristic
218C2×C4⋊C4×C43C2311yescharacteristic
219C2×C4⋊C4×C43C2311yescharacteristic
220C2×C4⋊C4×C43C2311yescharacteristic
221C2×C4⋊C4×C43C2311yescharacteristic
222C2×C4⋊C4×C43C2311yescharacteristic
223C2×C4⋊C4×C43C2311yescharacteristic
224C2×C4⋊C4×C43C2311yescharacteristic
225C2×C4⋊C4×C43C2311yescharacteristic
226C2×C4⋊C4×C43C2311yescharacteristic
227C2×C4⋊C4×C43C2311yescharacteristic
228C2×C4⋊C4×C43C2311yescharacteristic
229C2×C4⋊C4×C43C2311yescharacteristic
230C2×C4⋊C4×C43C2311yescharacteristic
231C2×C4⋊C4×C43C2311yescharacteristic
232C2×C4⋊C4×C43C2311yescharacteristic
233C2×C4⋊C4×C43C2311yescharacteristic
234C2×C4⋊C4×C43C2311yescharacteristic
235C2×C4⋊C4×C43C2311yescharacteristic
236C2×C4⋊C4×C43C2311yescharacteristic
237C2×C4⋊C4×C43C2311yescharacteristic
238C2×C4⋊C4×C43C2311yescharacteristic
239C2×C4⋊C4×C43C2311yescharacteristic
240C2×C4⋊C4×C43C2311yescharacteristic
241C2×C4⋊C4×C43C2311yescharacteristic
242C2×C4⋊C4×C43C2311yescharacteristic
243C2×C4⋊C4×C43C2311yescharacteristic
244C2×C4⋊C4×C43C2311yescharacteristic
245C2×C4⋊C4×C43C2311yescharacteristic
246C2×C4⋊C4×C43C2311yescharacteristic
247C2×C4⋊C4×C43C2311yescharacteristic
248C2×C4⋊C4×C43C2311yescharacteristic
249C2×C4⋊C4×C43C2311yescharacteristic
250C2×C4⋊C4×C43C2311yescharacteristic
251C2×C4⋊C4×C43C2311yescharacteristic
252C2×C4⋊C4×C43C2311yescharacteristic
253C2×C4⋊C4×C43C2311yescharacteristic
254C2×C4⋊C4×C43C2311yescharacteristic
255C2×C4⋊C4×C43C2311yescharacteristic
256C2×C4⋊C4×C43C2311yescharacteristic
257C2×C4⋊C4×C43C2311yescharacteristic
258C2×C4⋊C4×C43C2311yescharacteristic
259C2×C4⋊C4×C43C2311yescharacteristic
260C2×C4⋊C4×C43C2311yescharacteristic
261C2×C4⋊C4×C43C2311yescharacteristic
262C2×C4⋊C4×C43C2311yescharacteristic
263C2×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×C42×C43—42no—
286C2×C42×C43C2311yescharacteristic
287C2×C42×C43C2311yescharacteristic
288C2×C42×C43C2311yescharacteristic
289C2×C42×C43C2311yescharacteristic
290C2×C42×C43C2311yescharacteristic
291C2×C42×C43C2311yescharacteristic
292C2×C42×C43C2311yescharacteristic
293C2×C42×C43C2311yescharacteristic
294C2×C42×C43C2311yescharacteristic
295C2×C42×C43C2311yescharacteristic
296C2×C42×C43C2311yescharacteristic
297C2×C42×C43C2311yescharacteristic
298C2×C42×C43C2311yescharacteristic
299#95×C43C2311yescharacteristic
300#95×C43C2311yescharacteristic
301#95×C43C2311yescharacteristic
302#95×C43C2311yescharacteristic
303#95×C43C2311yescharacteristic
304#95×C43C2311yescharacteristic
305#95×C43C2311yescharacteristic
306#95×C43C2311yescharacteristic
307#95×C43C2311yescharacteristic
308#95×C43C2311yescharacteristic
309#95×C43C2311yescharacteristic
310#95×C43C2311yescharacteristic
311#95×C43C2311yescharacteristic
312#95×C43C2311yescharacteristic
313#95×C43C2311yescharacteristic
314#95×C43C2311yescharacteristic
315#95×C43C2311yescharacteristic
316#95×C43C2311yescharacteristic
317#95×C43C2311yescharacteristic
318#95×C43C2311yescharacteristic
319#95×C43C2311yescharacteristic
320#95×C43C2311yescharacteristic
321#95×C43C2311yescharacteristic
322#95×C43C2311yescharacteristic
323#95×C43C2311yescharacteristic
324#95×C43C2311yescharacteristic
325#95×C43C2311yescharacteristic
326#95×C43C2311yescharacteristic
327#95×C43C2311yescharacteristic
328#95×C43C2311yescharacteristic
329#95×C43C2311yescharacteristic
330#95×C43C2311yescharacteristic
331#95×C43C2311yescharacteristic
332#95×C43C2311yescharacteristic
333#95×C43C2311yescharacteristic
334#95×C43C2311yescharacteristic
335#95×C43C2311yescharacteristic
336#95×C43C2311yescharacteristic
337#95×C43C2311yescharacteristic
338#95×C43C2311yescharacteristic
339#95×C43C2311yescharacteristic
340#95×C43C2311yescharacteristic
341#95×C43C2311yescharacteristic
342#95×C43C2311yescharacteristic
343#95×C43C2311yescharacteristic
344#95×C43C2311yescharacteristic
345#95×C43C2311yescharacteristic
346#95×C43C2311yescharacteristic
347#95×C43C2311yescharacteristic
348#95×C43C2311yescharacteristic
349#95×C43C2311yescharacteristic
350#95×C43C2311yescharacteristic
351#95×C43C2311yescharacteristic
352#95×C43C2311yescharacteristic
353#95×C43C2311yescharacteristic
354#95×C43C2311yescharacteristic
355C24×C43C2411yescharacteristic
356C24×C43C2411yescharacteristic
357C2×Q8×C43—22no—
358C2×Q8×C43—22no—
359C2×Q8×C43—22no—
360C2×Q8×C43—41no—
361C2×Q8×C43—41no—
362C2×Q8×C43—41no—
363C2×Q8×C43—41no—
364C2×Q8×C43—41no—
365C2×Q8×C43—41no—
366C2×Q8×C43—41no—
367C2×Q8×C43—41no—
368C2×Q8×C43—41no—
369C2×Q8×C43—41no—
370C2×Q8×C43—41no—
371C2×Q8×C43—41no—
372C2×D4×C43—41no—
373C2×D4×C43—41no—
374C2×D4×C43C2×Q814yes—
375C22×C4×C43—22no—
376C22×C4×C43—22no—
377C22×C4×C43—22no—
378C22×C4×C43—41no—
379C22×C4×C43—41no—
380C22×C4×C43—41no—
381C22×C4×C43—41no—
382C22×C4×C43—41no—
383C22×C4×C43—41no—
384C22×C4×C43—41no—
385C22×C4×C43—41no—
386C22×C4×C43—41no—
387C22×C4×C43—41no—
388C22×C4×C43—41no—
389C22×C4×C43—41no—
390C22×C4×C43—41no—
391C22×C4×C43C2×Q814yes—
392C22×C4×C43C2×Q814yes—
393C22×C4×C43C2411yescharacteristic
394C22×C4×C43C2411yescharacteristic
395C22×C4×C43C2411yescharacteristic
396C22×C4×C43C2411yescharacteristic
397C22×C4×C43C2411yescharacteristic
398C22×C4×C43C2411yescharacteristic
399C22×C4×C43C2411yescharacteristic
400C22×C4×C43C2411yescharacteristic
401C22×C4×C43C2411yescharacteristic
402C22×C4×C43C2411yescharacteristic
403C22×C4×C43C2411yescharacteristic
404C22×C4×C43C2411yescharacteristic
405C22×C4×C43C2411yescharacteristic
406C22×C4×C43C2411yescharacteristic
407C22×C4×C43C2411yescharacteristic
408C22×C4×C43C2411yescharacteristic
409C22×C4×C43C2411yescharacteristic
410C22×C4×C43C2411yescharacteristic
411C22×C4×C43C2411yescharacteristic
412C22×C4×C43C2411yescharacteristic
413C22×C4×C43C2411yescharacteristic
414C22×C4×C43C2411yescharacteristic
415C22×C4×C43C2411yescharacteristic
416C22×C4×C43C2411yescharacteristic
417C22×C4×C43C2411yescharacteristic
418C22×C4×C43C2411yescharacteristic
419C22×C4×C43C2411yescharacteristic
420C22×C4×C43C2411yescharacteristic
421C22×C4×C43C2411yescharacteristic
422C4⋊C4×C43—22no—
423C4⋊C4×C43—22no—
424C4⋊C4×C43—22no—
425C4⋊C4×C43—22no—
426C4⋊C4×C43—22no—
427C4⋊C4×C43—22no—
428C4⋊C4×C43—22no—
429C4⋊C4×C43—22no—
430C4⋊C4×C43—22no—
431C4⋊C4×C43—22no—
432C4⋊C4×C43—22no—
433C4⋊C4×C43—22no—
434C4⋊C4×C43—41no—
435C4⋊C4×C43—41no—
436C4⋊C4×C43—41no—
437C4⋊C4×C43—41no—
438C4⋊C4×C43—41no—
439C4⋊C4×C43—41no—
440C4⋊C4×C43—41no—
441C4⋊C4×C43—41no—
442C4⋊C4×C43—41no—
443C4⋊C4×C43—41no—
444C4⋊C4×C43—41no—
445C4⋊C4×C43—41no—
446C4⋊C4×C43—41no—
447C4⋊C4×C43—41no—
448C4⋊C4×C43—41no—
449C4⋊C4×C43—41no—
450C4⋊C4×C43—41no—
451C4⋊C4×C43—41no—
452C4⋊C4×C43—41no—
453C4⋊C4×C43—41no—
454C4⋊C4×C43—41no—
455C4⋊C4×C43—41no—
456C4⋊C4×C43—41no—
457C4⋊C4×C43—41no—
458C4⋊C4×C43—41no—
459C4⋊C4×C43—41no—
460C4⋊C4×C43—41no—
461C4⋊C4×C43—41no—
462C4⋊C4×C43—41no—
463C4⋊C4×C43—41no—
464C4⋊C4×C43—41no—
465C4⋊C4×C43—41no—
466C4⋊C4×C43—41no—
467C4⋊C4×C43—41no—
468C4⋊C4×C43—41no—
469C4⋊C4×C43—41no—
470C4⋊C4×C43—41no—
471C4⋊C4×C43—41no—
472C4⋊C4×C43—41no—
473C4⋊C4×C43C2×Q814yes—
474C22⋊C4×C43—22no—
475C22⋊C4×C43—22no—
476C22⋊C4×C43—22no—
477C22⋊C4×C43—41no—
478C22⋊C4×C43—41no—
479C22⋊C4×C43—41no—
480C22⋊C4×C43—41no—
481C22⋊C4×C43—41no—
482C22⋊C4×C43—41no—
483C22⋊C4×C43—41no—
484C22⋊C4×C43—41no—
485C22⋊C4×C43—41no—
486C22⋊C4×C43—41no—
487C22⋊C4×C43—41no—
488C22⋊C4×C43—41no—
489C22⋊C4×C43—41no—
490C22⋊C4×C43—41no—
491C22⋊C4×C43—41no—
492C22⋊C4×C43—41no—
493C22⋊C4×C43—41no—
494C22⋊C4×C43C2×Q814yes—
495C22⋊C4×C43C2×Q814yes—
496C42×C43—22no—
497C42×C43—22no—
498C42×C43—41no—
499C42×C43—41no—
500C42×C43—41no—
501C42×C43—41no—
502C42×C43—41no—
503C42×C43—41no—
504C42×C43—41no—
505C42×C43—41no—
506C42×C43—41no—
507C42×C43—41no—
508C42×C43C2×Q814yes—
509C23×C43—21no—
510C23×C43—21no—
511C23×C43—21no—
512C23×C43—21no—
513C23×C43—21no—
514C23×C43—21no—
515C23×C43—21no—
516C23×C43—21no—
517C23×C43—21no—
518C23×C43—21no—
519C23×C43—21no—
520C23×C43—21no—
521C23×C43C22×Q812yes—
522C23×C43C22×Q812yes—
523C23×C43C2511yescharacteristic
524Q8×C43—82no—
525Q8×C43—82no—
526Q8×C43—82no—
527Q8×C43—82no—
528Q8×C43—82no—
529D4×C43—44no—
530C2×C4×C43—21no—
531C2×C4×C43—21no—
532C2×C4×C43—21no—
533C2×C4×C43—21no—
534C2×C4×C43—21no—
535C2×C4×C43—21no—
536C2×C4×C43—21no—
537C2×C4×C43—21no—
538C2×C4×C43—21no—
539C2×C4×C43—21no—
540C2×C4×C43—21no—
541C2×C4×C43—21no—
542C2×C4×C43—21no—
543C2×C4×C43—21no—
544C2×C4×C43—21no—
545C2×C4×C43—21no—
546C2×C4×C43—21no—
547C2×C4×C43—21no—
548C2×C4×C43—21no—
549C2×C4×C43—21no—
550C2×C4×C43—21no—
551C2×C4×C43—21no—
552C2×C4×C43—21no—
553C2×C4×C43—21no—
554C2×C4×C43—21no—
555C2×C4×C43—21no—
556C2×C4×C43—21no—
557C2×C4×C43—21no—
558C2×C4×C43—21no—
559C2×C4×C43—21no—
560C2×C4×C43—21no—
561C2×C4×C43—21no—
562C2×C4×C43—21no—
563C2×C4×C43—21no—
564C2×C4×C43—21no—
565C2×C4×C43—21no—
566C2×C4×C43—21no—
567C2×C4×C43—21no—
568C2×C4×C43—21no—
569C2×C4×C43—21no—
570C2×C4×C43—21no—
571C2×C4×C43—21no—
572C2×C4×C43—21no—
573C2×C4×C43—21no—
574C2×C4×C43—21no—
575C2×C4×C43—21no—
576C2×C4×C43—21no—
577C2×C4×C43—21no—
578C2×C4×C43—21no—
579C2×C4×C43—21no—
580C2×C4×C43—21no—
581C2×C4×C43—21no—
582C2×C4×C43—21no—
583C2×C4×C43—21no—
584C2×C4×C43—21no—
585C2×C4×C43—21no—
586C2×C4×C43—21no—
587C2×C4×C43—21no—
588C2×C4×C43—21no—
589C2×C4×C43—21no—
590C2×C4×C43—21no—
591C2×C4×C43—21no—
592C2×C4×C43—21no—
593C2×C4×C43—21no—
594C2×C4×C43—21no—
595C2×C4×C43—21no—
596C2×C4×C43—21no—
597C2×C4×C43—21no—
598C2×C4×C43—21no—
599C2×C4×C43—21no—
600C2×C4×C43—21no—
601C2×C4×C43—21no—
602C2×C4×C43—21no—
603C2×C4×C43—21no—
604C2×C4×C43—21no—
605C2×C4×C43—21no—
606C2×C4×C43—21no—
607C2×C4×C43—21no—
608C2×C4×C43—21no—
609C2×C4×C43—44no—
610C2×C4×C43—44no—
611C2×C4×C43—44no—
612C2×C4×C43—44no—
613C2×C4×C43—82no—
614C2×C4×C43—82no—
615C2×C4×C43C22×Q812yes—
616C2×C4×C43C22×Q812yes—
617C2×C4×C43C22×Q812yes—
618C2×C4×C43C22×Q812yes—
619C2×C4×C43C22×Q812yes—
620C2×C4×C43H(5,𝔽2)12yes—
621C2×C4×C43H(5,𝔽2)12yes—
622C2×C4×C432−1+412yes—
623#36754C4311yesmaximal, characteristic, direct product factor, Sylow
624C22×C43—22no—
625C22×C43—22no—
626C22×C43—22no—
627C22×C43—22no—
628C22×C43—22no—
629C22×C43—22no—
630C22×C43—41no—
631C22×C43—41no—
632C22×C43—41no—
633C22×C43—41no—
634C22×C43—41no—
635C22×C43—41no—
636C22×C43—41no—
637C22×C43—41no—
638C22×C43C23×Q811yescharacteristic
639C22×C43C2×H(5,𝔽2)11yescharacteristic
640C22×C43C2×H(5,𝔽2)11yescharacteristic
641C22×C43C2×2−1+411yescharacteristic
642C22×C43#58511yescharacteristic
643C22×C43#58511yescharacteristic
644C22×C43#58511yescharacteristic
645C4×C43—22no—
646C4×C43—22no—
647C4×C43—22no—
648C4×C43—22no—
649C4×C43—22no—
650C4×C43—22no—
651C4×C43—22no—
652C4×C43—22no—
653C4×C43—41no—
654C4×C43—41no—
655C4×C43—41no—
656C4×C43—41no—
657C4×C43—41no—
658C4×C43—41no—
659C4×C43—41no—
660C4×C43—41no—
661C4×C43—41no—
662C4×C43—41no—
663C4×C43—41no—
664C4×C43—41no—
665C4×C43—41no—
666C4×C43—41no—
667C4×C43—41no—
668C4×C43—41no—
669C4×C43—41no—
670C4×C43—41no—
671C4×C43—41no—
672C4×C43—41no—
673C4×C43—41no—
674#2857C2×C4311yescharacteristic, complemented
675#2855C2×C4311yescharacteristic, complemented
676#2802C2×C4311yescharacteristic, complemented
677#2792C2×C4311yescharacteristic, complemented
678#2790C2×C4311yescharacteristic, complemented
679#2788C2×C4311yescharacteristic, complemented
680#2784C2×C4311yescharacteristic
681#2780C2×C4311yescharacteristic
682#2774C2×C4311yescharacteristic, complemented
683#2768C2×C4311yescharacteristic, complemented
684#2734C2×C4311yescharacteristic, complemented
685#2729C2×C4311yescharacteristic, complemented
686#2729C2×C4311yescharacteristic, complemented
687#2704C2×C4311yescharacteristic, complemented
688#2704C2×C4311yescharacteristic, complemented
689#2692C2×C4311yescharacteristic
690#2683C2×C4311yescharacteristic
691#2677C2×C4311yescharacteristic, complemented
692#2667C2×C4311yescharacteristic, complemented
693#2665C2×C4311yescharacteristic, complemented
694#2612C2×C4311yescharacteristic, complemented
695#2608C2×C4311yescharacteristic, complemented
696#2606C2×C4311yescharacteristic, complemented
697#2605C2×C4311yescharacteristic, complemented
698#2550C2×C4311yescharacteristic, complemented
699#2549C2×C4311yescharacteristic, complemented
700#2439C2×C4311yescharacteristic, complemented
701#2438C2×C4311yescharacteristic, complemented
702#2319C2×C4311yescharacteristic
703#2318C2×C4311yescharacteristic
704#2290C2×C4311yescharacteristic
705C2×C43—42no—
706C2×C43—42no—
707C2×C43#345811yescharacteristic
708C2×C43#350111yescharacteristic
709C2×C43#350311yescharacteristic
710C2×C43#353411yescharacteristic
711C2×C43#354111yescharacteristic
712C2×C43#355111yescharacteristic
713C2×C43#356511yescharacteristic
714C2×C4⋊Q8C22×C4311yescharacteristic
715C2×C4⋊Q8C22×C4311yescharacteristic
716C2×C4⋊Q8C22×C4311yescharacteristic
717C2×#125C22×C4311yescharacteristic
718C2×C22⋊Q8C22×C4311yescharacteristic
719C2×C22⋊Q8C22×C4311yescharacteristic
720C2×C22⋊Q8C22×C4311yescharacteristic
721C2×C22⋊Q8C22×C4311yescharacteristic
722C2×C22⋊Q8C22×C4311yescharacteristic
723C2×C22⋊Q8C22×C4311yescharacteristic
724C2×C4×D4C22×C4311yescharacteristic
725C2×#117C22×C4311yescharacteristic
726C22×C42C22×C4311yescharacteristic
727#400C22×C4311yescharacteristic
728#400C22×C4311yescharacteristic
729#400C22×C4311yescharacteristic
730#400C22×C4311yescharacteristic
731#400C22×C4311yescharacteristic
732#400C22×C4311yescharacteristic
733#399C22×C4311yescharacteristic
734#399C22×C4311yescharacteristic
735#398C22×C4311yescharacteristic
736#398C22×C4311yescharacteristic
737#398C22×C4311yescharacteristic
738#398C22×C4311yescharacteristic
739#398C22×C4311yescharacteristic
740#398C22×C4311yescharacteristic
741#398C22×C4311yescharacteristic
742#398C22×C4311yescharacteristic
743#398C22×C4311yescharacteristic
744#398C22×C4311yescharacteristic
745#398C22×C4311yescharacteristic
746#398C22×C4311yescharacteristic
747#398C22×C4311yescharacteristic
748#398C22×C4311yescharacteristic
749#398C22×C4311yescharacteristic
750#398C22×C4311yescharacteristic
751#396C22×C4311yescharacteristic
752#396C22×C4311yescharacteristic
753#396C22×C4311yescharacteristic
754#396C22×C4311yescharacteristic
755#396C22×C4311yescharacteristic
756#396C22×C4311yescharacteristic
757#396C22×C4311yescharacteristic
758#396C22×C4311yescharacteristic
759#396C22×C4311yescharacteristic
760#396C22×C4311yescharacteristic
761#395C22×C4311yescharacteristic
762#395C22×C4311yescharacteristic
763#395C22×C4311yescharacteristic
764#395C22×C4311yescharacteristic
765#395C22×C4311yescharacteristic
766#395C22×C4311yescharacteristic
767#395C22×C4311yescharacteristic
768#395C22×C4311yescharacteristic
769#395C22×C4311yescharacteristic
770#395C22×C4311yescharacteristic
771#393C22×C4311yescharacteristic
772#393C22×C4311yescharacteristic
773#393C22×C4311yescharacteristic
774#393C22×C4311yescharacteristic
775#391C22×C4311yescharacteristic
776#391C22×C4311yescharacteristic
777#391C22×C4311yescharacteristic
778#391C22×C4311yescharacteristic
779#391C22×C4311yescharacteristic
780#391C22×C4311yescharacteristic
781#391C22×C4311yescharacteristic
782#391C22×C4311yescharacteristic
783#391C22×C4311yescharacteristic
784#390C22×C4311yescharacteristic
785#390C22×C4311yescharacteristic
786#389C22×C4311yescharacteristic
787#389C22×C4311yescharacteristic
788#389C22×C4311yescharacteristic
789#389C22×C4311yescharacteristic
790#389C22×C4311yescharacteristic
791#389C22×C4311yescharacteristic
792#389C22×C4311yescharacteristic
793#389C22×C4311yescharacteristic
794#389C22×C4311yescharacteristic
795#389C22×C4311yescharacteristic
796#389C22×C4311yescharacteristic
797#389C22×C4311yescharacteristic
798#389C22×C4311yescharacteristic
799#389C22×C4311yescharacteristic
800#389C22×C4311yescharacteristic
801#389C22×C4311yescharacteristic
802#389C22×C4311yescharacteristic
803#389C22×C4311yescharacteristic
804#389C22×C4311yescharacteristic
805#388C22×C4311yescharacteristic
806#388C22×C4311yescharacteristic
807#388C22×C4311yescharacteristic
808#388C22×C4311yescharacteristic
809#388C22×C4311yescharacteristic
810#388C22×C4311yescharacteristic
811#388C22×C4311yescharacteristic
812#388C22×C4311yescharacteristic
813#387C22×C4311yescharacteristic
814#387C22×C4311yescharacteristic
815#387C22×C4311yescharacteristic
816#387C22×C4311yescharacteristic
817#387C22×C4311yescharacteristic
818#387C22×C4311yescharacteristic
819#387C22×C4311yescharacteristic
820#387C22×C4311yescharacteristic
821#387C22×C4311yescharacteristic
822#387C22×C4311yescharacteristic
823#387C22×C4311yescharacteristic
824#387C22×C4311yescharacteristic
825#387C22×C4311yescharacteristic
826#387C22×C4311yescharacteristic
827#387C22×C4311yescharacteristic
828#387C22×C4311yescharacteristic
829#387C22×C4311yescharacteristic
830#387C22×C4311yescharacteristic
831#387C22×C4311yescharacteristic
832#387C22×C4311yescharacteristic
833#386C22×C4311yescharacteristic
834#386C22×C4311yescharacteristic
835#386C22×C4311yescharacteristic
836#386C22×C4311yescharacteristic
837#385C22×C4311yescharacteristic
838#385C22×C4311yescharacteristic
839#385C22×C4311yescharacteristic
840#385C22×C4311yescharacteristic
841#385C22×C4311yescharacteristic
842#385C22×C4311yescharacteristic
843#385C22×C4311yescharacteristic
844#385C22×C4311yescharacteristic
845#385C22×C4311yescharacteristic
846#385C22×C4311yescharacteristic
847#384C22×C4311yescharacteristic
848#383C22×C4311yescharacteristic
849#382C22×C4311yescharacteristic
850#382C22×C4311yescharacteristic
851#381C22×C4311yescharacteristic
852#381C22×C4311yescharacteristic
853#381C22×C4311yescharacteristic
854#380C22×C4311yescharacteristic
855#380C22×C4311yescharacteristic
856#380C22×C4311yescharacteristic
857#380C22×C4311yescharacteristic
858#380C22×C4311yescharacteristic
859#380C22×C4311yescharacteristic
860#380C22×C4311yescharacteristic
861C4×C4⋊C4C22×C4311yescharacteristic
862C4×C4⋊C4C22×C4311yescharacteristic
863C4×C22⋊C4C22×C4311yescharacteristic
864C4×C22⋊C4C22×C4311yescharacteristic
865C4×C22⋊C4C22×C4311yescharacteristic
866#376C22×C4311yescharacteristic
867#376C22×C4311yescharacteristic
868C2×#95C22×C4311yescharacteristic
869C43#3675411yescharacteristic, direct product factor, Sylow
870C22×Q8C23×C4311yescharacteristic
871C22×Q8C23×C4311yescharacteristic
872C22×Q8C23×C4311yescharacteristic
873C22×Q8C23×C4311yescharacteristic
874C22×Q8C23×C4311yescharacteristic
875C22×D4C23×C4311yescharacteristic
876C23×C4C23×C4311yescharacteristic
877C23×C4C23×C4311yescharacteristic
878C23×C4C23×C4311yescharacteristic
879C23×C4C23×C4311yescharacteristic
880C23×C4C23×C4311yescharacteristic
881C23×C4C23×C4311yescharacteristic
882C4⋊Q8—42no—
883C4⋊Q8—42no—
884C4⋊Q8—42no—
885#125—42no—
886C22⋊Q8—42no—
887C22⋊Q8—42no—
888C22⋊Q8—42no—
889C22⋊Q8—42no—
890C22⋊Q8—42no—
891C22⋊Q8—42no—
892C4×D4Q8×C4318yescomplemented
893#117—42no—
894C2×C4⋊C4C23×C4311yescharacteristic
895C2×C4⋊C4C23×C4311yescharacteristic
896C2×C4⋊C4C23×C4311yescharacteristic
897C2×C4⋊C4C23×C4311yescharacteristic
898C2×C4⋊C4C23×C4311yescharacteristic
899C2×C4⋊C4C23×C4311yescharacteristic
900C2×C4⋊C4C23×C4311yescharacteristic
901C2×C4⋊C4C23×C4311yescharacteristic
902C2×C4⋊C4C23×C4311yescharacteristic
903C2×C4⋊C4C23×C4311yescharacteristic
904C2×C4⋊C4C23×C4311yescharacteristic
905C2×C4⋊C4C23×C4311yescharacteristic
906C2×C4⋊C4C23×C4311yescharacteristic
907C2×C4⋊C4C23×C4311yescharacteristic
908C2×C4⋊C4C23×C4311yescharacteristic
909C2×C4⋊C4C23×C4311yescharacteristic
910C2×C4⋊C4C23×C4311yescharacteristic
911C2×C4⋊C4C23×C4311yescharacteristic
912C2×C4⋊C4C23×C4311yescharacteristic
913C2×C4⋊C4C23×C4311yescharacteristic
914C2×C4⋊C4C23×C4311yescharacteristic
915C2×C4⋊C4C23×C4311yescharacteristic
916C2×C4⋊C4C23×C4311yescharacteristic
917C2×C4⋊C4C23×C4311yescharacteristic
918C2×C4⋊C4C23×C4311yescharacteristic
919C2×C4⋊C4C23×C4311yescharacteristic
920C2×C4⋊C4C23×C4311yescharacteristic
921C2×C4⋊C4C23×C4311yescharacteristic
922C2×C4⋊C4C23×C4311yescharacteristic
923C2×C4⋊C4C23×C4311yescharacteristic
924C2×C4⋊C4C23×C4311yescharacteristic
925C2×C4⋊C4C23×C4311yescharacteristic
926C2×C4⋊C4C23×C4311yescharacteristic
927C2×C4⋊C4C23×C4311yescharacteristic
928C2×C4⋊C4C23×C4311yescharacteristic
929C2×C4⋊C4C23×C4311yescharacteristic
930C2×C4⋊C4C23×C4311yescharacteristic
931C2×C4⋊C4C23×C4311yescharacteristic
932C2×C4⋊C4C23×C4311yescharacteristic
933C2×C4⋊C4C23×C4311yescharacteristic
934C2×C4⋊C4C23×C4311yescharacteristic
935C2×C4⋊C4C23×C4311yescharacteristic
936C2×C4⋊C4C23×C4311yescharacteristic
937C2×C4⋊C4C23×C4311yescharacteristic
938C2×C4⋊C4C23×C4311yescharacteristic
939C2×C4⋊C4C23×C4311yescharacteristic
940C2×C4⋊C4C23×C4311yescharacteristic
941C2×C4⋊C4C23×C4311yescharacteristic
942C2×C4⋊C4C23×C4311yescharacteristic
943C2×C4⋊C4C23×C4311yescharacteristic
944C2×C4⋊C4C23×C4311yescharacteristic
945C2×C4⋊C4C23×C4311yescharacteristic
946C2×C22⋊C4C23×C4311yescharacteristic
947C2×C22⋊C4C23×C4311yescharacteristic
948C2×C22⋊C4C23×C4311yescharacteristic
949C2×C22⋊C4C23×C4311yescharacteristic
950C2×C22⋊C4C23×C4311yescharacteristic
951C2×C22⋊C4C23×C4311yescharacteristic
952C2×C22⋊C4C23×C4311yescharacteristic
953C2×C22⋊C4C23×C4311yescharacteristic
954C2×C22⋊C4C23×C4311yescharacteristic
955C2×C22⋊C4C23×C4311yescharacteristic
956C2×C22⋊C4C23×C4311yescharacteristic
957C2×C22⋊C4C23×C4311yescharacteristic
958C2×C22⋊C4C23×C4311yescharacteristic
959C2×C22⋊C4C23×C4311yescharacteristic
960C2×C22⋊C4C23×C4311yescharacteristic
961C2×C22⋊C4C23×C4311yescharacteristic
962C2×C22⋊C4C23×C4311yescharacteristic
963C2×C22⋊C4C23×C4311yescharacteristic
964C2×C22⋊C4C23×C4311yescharacteristic
965C2×C22⋊C4C23×C4311yescharacteristic
966C2×C22⋊C4C23×C4311yescharacteristic
967C2×C22⋊C4C23×C4311yescharacteristic
968C2×C42—42no—
969C2×C42C23×C4311yescharacteristic
970C2×C42C23×C4311yescharacteristic
971C2×C42C23×C4311yescharacteristic
972C2×C42C23×C4311yescharacteristic
973C2×C42C23×C4311yescharacteristic
974C2×C42C23×C4311yescharacteristic
975C2×C42C23×C4311yescharacteristic
976C2×C42C23×C4311yescharacteristic
977C2×C42C23×C4311yescharacteristic
978C2×C42C23×C4311yescharacteristic
979C2×C42C23×C4311yescharacteristic
980C2×C42C23×C4311yescharacteristic
981C2×C42C23×C4311yescharacteristic
982#95C23×C4311yescharacteristic
983#95C23×C4311yescharacteristic
984#95C23×C4311yescharacteristic
985#95C23×C4311yescharacteristic
986#95C23×C4311yescharacteristic
987#95C23×C4311yescharacteristic
988#95C23×C4311yescharacteristic
989#95C23×C4311yescharacteristic
990#95C23×C4311yescharacteristic
991#95C23×C4311yescharacteristic
992#95C23×C4311yescharacteristic
993#95C23×C4311yescharacteristic
994#95C23×C4311yescharacteristic
995#95C23×C4311yescharacteristic
996#95C23×C4311yescharacteristic
997#95C23×C4311yescharacteristic
998#95C23×C4311yescharacteristic
999#95C23×C4311yescharacteristic
1000#95C23×C4311yescharacteristic
1001#95C23×C4311yescharacteristic
1002#95C23×C4311yescharacteristic
1003#95C23×C4311yescharacteristic
1004#95C23×C4311yescharacteristic
1005#95C23×C4311yescharacteristic
1006#95C23×C4311yescharacteristic
1007#95C23×C4311yescharacteristic
1008#95C23×C4311yescharacteristic
1009#95C23×C4311yescharacteristic
1010#95C23×C4311yescharacteristic
1011#95C23×C4311yescharacteristic
1012#95C23×C4311yescharacteristic
1013#95C23×C4311yescharacteristic
1014#95C23×C4311yescharacteristic
1015#95C23×C4311yescharacteristic
1016#95C23×C4311yescharacteristic
1017#95C23×C4311yescharacteristic
1018#95C23×C4311yescharacteristic
1019#95C23×C4311yescharacteristic
1020#95C23×C4311yescharacteristic
1021#95C23×C4311yescharacteristic
1022#95C23×C4311yescharacteristic
1023#95C23×C4311yescharacteristic
1024#95C23×C4311yescharacteristic
1025#95C23×C4311yescharacteristic
1026#95C23×C4311yescharacteristic
1027#95C23×C4311yescharacteristic
1028#95C23×C4311yescharacteristic
1029#95C23×C4311yescharacteristic
1030#95C23×C4311yescharacteristic
1031#95C23×C4311yescharacteristic
1032#95C23×C4311yescharacteristic
1033#95C23×C4311yescharacteristic
1034#95C23×C4311yescharacteristic
1035#95C23×C4311yescharacteristic
1036#95C23×C4311yescharacteristic
1037#95C23×C4311yescharacteristic
1038C24C24×C4311yescharacteristic
1039C24C24×C4311yescharacteristic
1040C2×Q8—22no—
1041C2×Q8—22no—
1042C2×Q8—22no—
1043C2×Q8—41no—
1044C2×Q8—41no—
1045C2×Q8—41no—
1046C2×Q8—41no—
1047C2×Q8—41no—
1048C2×Q8—41no—
1049C2×Q8—41no—
1050C2×Q8—41no—
1051C2×Q8—41no—
1052C2×Q8—41no—
1053C2×Q8—41no—
1054C2×Q8—41no—
1055C2×D4—41no—
1056C2×D4—41no—
1057C2×D4C2×Q8×C4314yes—
1058C22×C4—22no—
1059C22×C4—22no—
1060C22×C4—22no—
1061C22×C4—41no—
1062C22×C4—41no—
1063C22×C4—41no—
1064C22×C4—41no—
1065C22×C4—41no—
1066C22×C4—41no—
1067C22×C4—41no—
1068C22×C4—41no—
1069C22×C4—41no—
1070C22×C4—41no—
1071C22×C4—41no—
1072C22×C4—41no—
1073C22×C4—41no—
1074C22×C4C2×Q8×C4314yes—
1075C22×C4C2×Q8×C4314yes—
1076C22×C4C24×C4311yescharacteristic
1077C22×C4C24×C4311yescharacteristic
1078C22×C4C24×C4311yescharacteristic
1079C22×C4C24×C4311yescharacteristic
1080C22×C4C24×C4311yescharacteristic
1081C22×C4C24×C4311yescharacteristic
1082C22×C4C24×C4311yescharacteristic
1083C22×C4C24×C4311yescharacteristic
1084C22×C4C24×C4311yescharacteristic
1085C22×C4C24×C4311yescharacteristic
1086C22×C4C24×C4311yescharacteristic
1087C22×C4C24×C4311yescharacteristic
1088C22×C4C24×C4311yescharacteristic
1089C22×C4C24×C4311yescharacteristic
1090C22×C4C24×C4311yescharacteristic
1091C22×C4C24×C4311yescharacteristic
1092C22×C4C24×C4311yescharacteristic
1093C22×C4C24×C4311yescharacteristic
1094C22×C4C24×C4311yescharacteristic
1095C22×C4C24×C4311yescharacteristic
1096C22×C4C24×C4311yescharacteristic
1097C22×C4C24×C4311yescharacteristic
1098C22×C4C24×C4311yescharacteristic
1099C22×C4C24×C4311yescharacteristic
1100C22×C4C24×C4311yescharacteristic
1101C22×C4C24×C4311yescharacteristic
1102C22×C4C24×C4311yescharacteristic
1103C22×C4C24×C4311yescharacteristic
1104C22×C4C24×C4311yescharacteristic
1105C4⋊C4—22no—
1106C4⋊C4—22no—
1107C4⋊C4—22no—
1108C4⋊C4—22no—
1109C4⋊C4—22no—
1110C4⋊C4—22no—
1111C4⋊C4—22no—
1112C4⋊C4—22no—
1113C4⋊C4—22no—
1114C4⋊C4—22no—
1115C4⋊C4—22no—
1116C4⋊C4—22no—
1117C4⋊C4—41no—
1118C4⋊C4—41no—
1119C4⋊C4—41no—
1120C4⋊C4—41no—
1121C4⋊C4—41no—
1122C4⋊C4—41no—
1123C4⋊C4—41no—
1124C4⋊C4—41no—
1125C4⋊C4—41no—
1126C4⋊C4—41no—
1127C4⋊C4—41no—
1128C4⋊C4—41no—
1129C4⋊C4—41no—
1130C4⋊C4—41no—
1131C4⋊C4—41no—
1132C4⋊C4—41no—
1133C4⋊C4—41no—
1134C4⋊C4—41no—
1135C4⋊C4—41no—
1136C4⋊C4—41no—
1137C4⋊C4—41no—
1138C4⋊C4—41no—
1139C4⋊C4—41no—
1140C4⋊C4—41no—
1141C4⋊C4—41no—
1142C4⋊C4—41no—
1143C4⋊C4—41no—
1144C4⋊C4—41no—
1145C4⋊C4—41no—
1146C4⋊C4—41no—
1147C4⋊C4—41no—
1148C4⋊C4—41no—
1149C4⋊C4—41no—
1150C4⋊C4—41no—
1151C4⋊C4—41no—
1152C4⋊C4—41no—
1153C4⋊C4—41no—
1154C4⋊C4—41no—
1155C4⋊C4—41no—
1156C4⋊C4C2×Q8×C4314yes—
1157C22⋊C4—22no—
1158C22⋊C4—22no—
1159C22⋊C4—22no—
1160C22⋊C4—41no—
1161C22⋊C4—41no—
1162C22⋊C4—41no—
1163C22⋊C4—41no—
1164C22⋊C4—41no—
1165C22⋊C4—41no—
1166C22⋊C4—41no—
1167C22⋊C4—41no—
1168C22⋊C4—41no—
1169C22⋊C4—41no—
1170C22⋊C4—41no—
1171C22⋊C4—41no—
1172C22⋊C4—41no—
1173C22⋊C4—41no—
1174C22⋊C4—41no—
1175C22⋊C4—41no—
1176C22⋊C4—41no—
1177C22⋊C4C2×Q8×C4314yes—
1178C22⋊C4C2×Q8×C4314yes—
1179C42—22no—
1180C42—22no—
1181C42—41no—
1182C42—41no—
1183C42—41no—
1184C42—41no—
1185C42—41no—
1186C42—41no—
1187C42—41no—
1188C42—41no—
1189C42—41no—
1190C42—41no—
1191C42C2×Q8×C4314yes—
1192C23—21no—
1193C23—21no—
1194C23—21no—
1195C23—21no—
1196C23—21no—
1197C23—21no—
1198C23—21no—
1199C23—21no—
1200C23—21no—
1201C23—21no—
1202C23—21no—
1203C23—21no—
1204C23C22×Q8×C4312yes—
1205C23C22×Q8×C4312yes—
1206C23C25×C4311yescharacteristic
1207Q8—82no—
1208Q8—82no—
1209Q8—82no—
1210Q8—82no—
1211Q8—82no—
1212D4—44no—
1213C2×C4—21no—
1214C2×C4—21no—
1215C2×C4—21no—
1216C2×C4—21no—
1217C2×C4—21no—
1218C2×C4—21no—
1219C2×C4—21no—
1220C2×C4—21no—
1221C2×C4—21no—
1222C2×C4—21no—
1223C2×C4—21no—
1224C2×C4—21no—
1225C2×C4—21no—
1226C2×C4—21no—
1227C2×C4—21no—
1228C2×C4—21no—
1229C2×C4—21no—
1230C2×C4—21no—
1231C2×C4—21no—
1232C2×C4—21no—
1233C2×C4—21no—
1234C2×C4—21no—
1235C2×C4—21no—
1236C2×C4—21no—
1237C2×C4—21no—
1238C2×C4—21no—
1239C2×C4—21no—
1240C2×C4—21no—
1241C2×C4—21no—
1242C2×C4—21no—
1243C2×C4—21no—
1244C2×C4—21no—
1245C2×C4—21no—
1246C2×C4—21no—
1247C2×C4—21no—
1248C2×C4—21no—
1249C2×C4—21no—
1250C2×C4—21no—
1251C2×C4—21no—
1252C2×C4—21no—
1253C2×C4—21no—
1254C2×C4—21no—
1255C2×C4—21no—
1256C2×C4—21no—
1257C2×C4—21no—
1258C2×C4—21no—
1259C2×C4—21no—
1260C2×C4—21no—
1261C2×C4—21no—
1262C2×C4—21no—
1263C2×C4—21no—
1264C2×C4—21no—
1265C2×C4—21no—
1266C2×C4—21no—
1267C2×C4—21no—
1268C2×C4—21no—
1269C2×C4—21no—
1270C2×C4—21no—
1271C2×C4—21no—
1272C2×C4—21no—
1273C2×C4—21no—
1274C2×C4—21no—
1275C2×C4—21no—
1276C2×C4—21no—
1277C2×C4—21no—
1278C2×C4—21no—
1279C2×C4—21no—
1280C2×C4—21no—
1281C2×C4—21no—
1282C2×C4—21no—
1283C2×C4—21no—
1284C2×C4—21no—
1285C2×C4—21no—
1286C2×C4—21no—
1287C2×C4—21no—
1288C2×C4—21no—
1289C2×C4—21no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—44no—
1293C2×C4—44no—
1294C2×C4—44no—
1295C2×C4—44no—
1296C2×C4—82no—
1297C2×C4—82no—
1298C2×C4C22×Q8×C4312yes—
1299C2×C4C22×Q8×C4312yes—
1300C2×C4C22×Q8×C4312yes—
1301C2×C4C22×Q8×C4312yes—
1302C2×C4C22×Q8×C4312yes—
1303C2×C4H(5,𝔽2)×C4312yes—
1304C2×C4H(5,𝔽2)×C4312yes—
1305C2×C42−1+4×C4312yes—
1306C22—22no—
1307C22—22no—
1308C22—22no—
1309C22—22no—
1310C22—22no—
1311C22—22no—
1312C22—41no—
1313C22—41no—
1314C22—41no—
1315C22—41no—
1316C22—41no—
1317C22—41no—
1318C22—41no—
1319C22—41no—
1320C22C23×Q8×C4311yescharacteristic
1321C22C2×H(5,𝔽2)×C4311yescharacteristic
1322C22C2×H(5,𝔽2)×C4311yescharacteristic
1323C22C2×2−1+4×C4311yescharacteristic
1324C22C43×#58511yescharacteristic
1325C22C43×#58511yescharacteristic
1326C22C43×#58511yescharacteristic
1327C4—22no—
1328C4—22no—
1329C4—22no—
1330C4—22no—
1331C4—22no—
1332C4—22no—
1333C4—22no—
1334C4—22no—
1335C4—41no—
1336C4—41no—
1337C4—41no—
1338C4—41no—
1339C4—41no—
1340C4—41no—
1341C4—41no—
1342C4—41no—
1343C4—41no—
1344C4—41no—
1345C4—41no—
1346C4—41no—
1347C4—41no—
1348C4—41no—
1349C4—41no—
1350C4—41no—
1351C4—41no—
1352C4—41no—
1353C4—41no—
1354C4—41no—
1355C4—41no—
1356C2—42no—
1357C2—42no—
1358C2C43×#345811yescharacteristic
1359C2C43×#350111yescharacteristic
1360C2C43×#350311yescharacteristic
1361C2C43×#353411yescharacteristic
1362C2C43×#354111yescharacteristic
1363C2C43×#355111yescharacteristic
1364C2C43×#356511yescharacteristic
subgroupG/H
center, socleC23×C43C25
commutator, Frattini, cosocleC23C25×C43
prime radicalC22×D4×C43C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C43 ◁ G

Complements

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

NH ≅ G/Ntype
1. C43×#2857C2semidirect
2. C43×#2855C2semidirect
3. C43×#2802C2semidirect
4. C43×#2792C2semidirect
5. C43×#2790C2semidirect
6. C43×#2788C2semidirect
9. C43×#2774C2semidirect
10. C43×#2768C2semidirect
11. C43×#2734C2semidirect
12. C43×#2729C2semidirect
13. C43×#2729C2semidirect
14. C43×#2704C2semidirect
15. C43×#2704C2semidirect
18. C43×#2677C2semidirect
19. C43×#2667C2semidirect
20. C43×#2665C2semidirect
21. C43×#2612C2semidirect
22. C43×#2608C2semidirect
23. C43×#2606C2semidirect
24. C43×#2605C2semidirect
25. C43×#2550C2semidirect
26. C43×#2549C2semidirect
27. C43×#2439C2semidirect
28. C43×#2438C2semidirect
209. C4×D4×C43Q8semidirect
623. #36754C43direct (N × H)
674. #2857C2×C43semidirect
675. #2855C2×C43semidirect
676. #2802C2×C43semidirect
677. #2792C2×C43semidirect
678. #2790C2×C43semidirect
679. #2788C2×C43semidirect
682. #2774C2×C43semidirect
683. #2768C2×C43semidirect
684. #2734C2×C43semidirect
685. #2729C2×C43semidirect
686. #2729C2×C43semidirect
687. #2704C2×C43semidirect
688. #2704C2×C43semidirect
691. #2677C2×C43semidirect
692. #2667C2×C43semidirect
693. #2665C2×C43semidirect
694. #2612C2×C43semidirect
695. #2608C2×C43semidirect
696. #2606C2×C43semidirect
697. #2605C2×C43semidirect
698. #2550C2×C43semidirect
699. #2549C2×C43semidirect
700. #2439C2×C43semidirect
701. #2438C2×C43semidirect
869. C43#36754direct (N × H)
892. C4×D4Q8×C43semidirect

Maximal subgroups

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

subgroupindex
C43×#28572
C43×#28552
C43×#28022
C43×#27922
C43×#27902
C43×#27882
C43×#27842
C43×#27802
C43×#27742
C43×#27682
C43×#27342
C43×#27292
C43×#27042
C43×#26922
C43×#26832
C43×#26772
C43×#26672
C43×#26652
C43×#26122
C43×#26082
C43×#26062
C43×#26052
C43×#25502
C43×#25492
C43×#24392
C43×#24382
C43×#23192
C43×#23182
C43×#22902
#3675443