Finite Group Databasebeta

← C43×#36817 #24956834

Subgroups — C43×#36817 #24956834

Order 11008.

1852 conjugacy classes of subgroups.

The subgroup lattice has 1530 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C43×#2851C211yesmaximal, characteristic, complemented
2C43×#2850C211yesmaximal, characteristic, complemented
3C43×#2778C211yesmaximal, characteristic, complemented
4C43×#2763C211yesmaximal, characteristic, complemented
5C43×#2762C211yesmaximal, characteristic, complemented
6C43×#2756C211yesmaximal, characteristic, complemented
7C43×#2753C211yesmaximal, characteristic, complemented
8C43×#2728C211yesmaximal, characteristic, complemented
9C43×#2723C211yesmaximal, characteristic, complemented
10C43×#2723C211yesmaximal, characteristic, complemented
11C43×#2711C211yesmaximal, characteristic, complemented
12C43×#2708C211yesmaximal, characteristic, complemented
13C43×#2704C211yesmaximal, characteristic, complemented
14C43×#2700C211yesmaximal, characteristic, complemented
15C43×#2686C211yesmaximal, characteristic, complemented
16C43×#2676C211yesmaximal, characteristic, complemented
17C43×#2676C211yesmaximal, characteristic, complemented
18C43×#2671C211yesmaximal, characteristic, complemented
19C43×#2653C211yesmaximal, characteristic, complemented
20C43×#2649C211yesmaximal, characteristic, complemented
21C43×#2602C211yesmaximal, characteristic, complemented
22C43×#2589C211yesmaximal, characteristic, complemented
23C43×#2559C211yesmaximal, characteristic, complemented
24C43×#2549C211yesmaximal, characteristic, complemented
25C43×#2474C211yesmaximal, characteristic, complemented
26C43×#2470C211yesmaximal, characteristic, complemented
27C43×#2430C211yesmaximal, characteristic, complemented
28C43×#2407C211yesmaximal, characteristic, complemented
29C43×#2335C211yesmaximal, characteristic, complemented
30C43×#2318C211yesmaximal, characteristic, complemented
31C43×#2297C211yesmaximal, characteristic, complemented
32C22×#41×C43C2211yescharacteristic
33C2×#126×C43C2211yescharacteristic
34C2×#125×C43C2211yescharacteristic
35C2×#124×C43C2211yescharacteristic
36C2×#124×C43C2211yescharacteristic
37C2×#123×C43C2211yescharacteristic
38C2×#123×C43C2211yescharacteristic
39C2×C22⋊Q8×C43C2211yescharacteristic
40C2×C22⋊Q8×C43C2211yescharacteristic
41C2×C22⋊Q8×C43C2211yescharacteristic
42C2×C22⋊Q8×C43C2211yescharacteristic
43C2×#121×C43C2211yescharacteristic
44C2×#121×C43C2211yescharacteristic
45C2×#121×C43C2211yescharacteristic
46C2×#121×C43C2211yescharacteristic
47C2×#121×C43C2211yescharacteristic
48C2×C4×D4×C43C2211yescharacteristic
49C2×#117×C43C2211yescharacteristic
50C22×C42×C43C2211yescharacteristic
51C43×#401C2211yescharacteristic
52C43×#400C2211yescharacteristic
53C43×#400C2211yescharacteristic
54C43×#400C2211yescharacteristic
55C43×#400C2211yescharacteristic
56C43×#400C2211yescharacteristic
57C43×#399C2211yescharacteristic
58C43×#399C2211yescharacteristic
59C43×#398C2211yescharacteristic
60C43×#398C2211yescharacteristic
61C43×#398C2211yescharacteristic
62C43×#398C2211yescharacteristic
63C43×#397C2211yescharacteristic
64C43×#397C2211yescharacteristic
65C43×#397C2211yescharacteristic
66C43×#397C2211yescharacteristic
67C43×#397C2211yescharacteristic
68C43×#397C2211yescharacteristic
69C43×#397C2211yescharacteristic
70C43×#396C2211yescharacteristic
71C43×#396C2211yescharacteristic
72C43×#396C2211yescharacteristic
73C43×#395C2211yescharacteristic
74C43×#395C2211yescharacteristic
75C43×#395C2211yescharacteristic
76C43×#395C2211yescharacteristic
77C43×#394C2211yescharacteristic
78C43×#394C2211yescharacteristic
79C43×#394C2211yescharacteristic
80C43×#394C2211yescharacteristic
81C43×#394C2211yescharacteristic
82C43×#394C2211yescharacteristic
83C43×#394C2211yescharacteristic
84C43×#394C2211yescharacteristic
85C43×#394C2211yescharacteristic
86C43×#394C2211yescharacteristic
87C43×#394C2211yescharacteristic
88C43×#394C2211yescharacteristic
89C43×#394C2211yescharacteristic
90C43×#394C2211yescharacteristic
91C43×#393C2211yescharacteristic
92C43×#393C2211yescharacteristic
93C43×#393C2211yescharacteristic
94C43×#393C2211yescharacteristic
95C43×#392C2211yescharacteristic
96C43×#392C2211yescharacteristic
97C43×#392C2211yescharacteristic
98C43×#392C2211yescharacteristic
99C43×#391C2211yescharacteristic
100C43×#391C2211yescharacteristic
101C43×#391C2211yescharacteristic
102C43×#391C2211yescharacteristic
103C43×#391C2211yescharacteristic
104C43×#391C2211yescharacteristic
105C43×#390C2211yescharacteristic
106C43×#390C2211yescharacteristic
107C43×#390C2211yescharacteristic
108C43×#390C2211yescharacteristic
109C43×#390C2211yescharacteristic
110C43×#389C2211yescharacteristic
111C43×#389C2211yescharacteristic
112C43×#389C2211yescharacteristic
113C43×#389C2211yescharacteristic
114C43×#389C2211yescharacteristic
115C43×#388C2211yescharacteristic
116C43×#388C2211yescharacteristic
117C43×#388C2211yescharacteristic
118C43×#388C2211yescharacteristic
119C43×#388C2211yescharacteristic
120C43×#388C2211yescharacteristic
121C43×#388C2211yescharacteristic
122C43×#388C2211yescharacteristic
123C43×#388C2211yescharacteristic
124C43×#388C2211yescharacteristic
125C43×#388C2211yescharacteristic
126C43×#388C2211yescharacteristic
127C43×#388C2211yescharacteristic
128C43×#388C2211yescharacteristic
129C43×#388C2211yescharacteristic
130C43×#388C2211yescharacteristic
131C43×#388C2211yescharacteristic
132C43×#387C2211yescharacteristic
133C43×#387C2211yescharacteristic
134C43×#387C2211yescharacteristic
135C43×#387C2211yescharacteristic
136C43×#387C2211yescharacteristic
137C43×#387C2211yescharacteristic
138C43×#387C2211yescharacteristic
139C43×#387C2211yescharacteristic
140C43×#387C2211yescharacteristic
141C43×#386C2211yescharacteristic
142C43×#386C2211yescharacteristic
143C43×#386C2211yescharacteristic
144C43×#386C2211yescharacteristic
145C43×#386C2211yescharacteristic
146C43×#386C2211yescharacteristic
147C43×#386C2211yescharacteristic
148C43×#386C2211yescharacteristic
149C43×#386C2211yescharacteristic
150C43×#386C2211yescharacteristic
151C43×#386C2211yescharacteristic
152C43×#386C2211yescharacteristic
153C43×#386C2211yescharacteristic
154C43×#386C2211yescharacteristic
155C43×#386C2211yescharacteristic
156C43×#386C2211yescharacteristic
157C43×#385C2211yescharacteristic
158C43×#385C2211yescharacteristic
159C43×#385C2211yescharacteristic
160C43×#385C2211yescharacteristic
161C43×#385C2211yescharacteristic
162C43×#385C2211yescharacteristic
163C43×#385C2211yescharacteristic
164C43×#385C2211yescharacteristic
165C43×#385C2211yescharacteristic
166C43×#385C2211yescharacteristic
167C43×#385C2211yescharacteristic
168C43×#385C2211yescharacteristic
169C43×#385C2211yescharacteristic
170C43×#385C2211yescharacteristic
171C43×#383C2211yescharacteristic
172C43×#382C2211yescharacteristic
173C43×#382C2211yescharacteristic
174C43×#382C2211yescharacteristic
175C43×#381C2211yescharacteristic
176C43×#380C2211yescharacteristic
177C43×#380C2211yescharacteristic
178C43×#380C2211yescharacteristic
179C43×#380C2211yescharacteristic
180C4×C4⋊C4×C43C2211yescharacteristic
181C4×C22⋊C4×C43C2211yescharacteristic
182C4×C22⋊C4×C43C2211yescharacteristic
183C4×C22⋊C4×C43C2211yescharacteristic
184C4×C22⋊C4×C43C2211yescharacteristic
185C4×C22⋊C4×C43C2211yescharacteristic
186C2×#95×C43C2211yescharacteristic
187C2×#41×C43—24no—
188C2×#41×C43—42no—
189C2×#41×C43—42no—
190C22×Q8×C43C2311yescharacteristic
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
203C23×C4×C43C2311yescharacteristic
204C23×C4×C43C2311yescharacteristic
205C23×C4×C43C2311yescharacteristic
206C23×C4×C43C2311yescharacteristic
207C23×C4×C43C2311yescharacteristic
208C23×C4×C43C2311yescharacteristic
209C23×C4×C43C2311yescharacteristic
210C23×C4×C43C2311yescharacteristic
211C23×C4×C43C2311yescharacteristic
212#126×C43—42no—
213#125×C43—42no—
214#124×C43—42no—
215#124×C43—42no—
216#123×C43—24no—
217#123×C43—42no—
218C22⋊Q8×C43—42no—
219C22⋊Q8×C43—42no—
220C22⋊Q8×C43—42no—
221C22⋊Q8×C43—42no—
222#121×C43—42no—
223#121×C43—42no—
224#121×C43—42no—
225#121×C43—42no—
226#121×C43—42no—
227C4×D4×C43—24no—
228#117×C43—42no—
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×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×C42×C43—42no—
307C2×C42×C43C2311yescharacteristic
308C2×C42×C43C2311yescharacteristic
309C2×C42×C43C2311yescharacteristic
310C2×C42×C43C2311yescharacteristic
311C2×C42×C43C2311yescharacteristic
312C2×C42×C43C2311yescharacteristic
313C2×C42×C43C2311yescharacteristic
314C2×C42×C43C2311yescharacteristic
315C2×C42×C43C2311yescharacteristic
316C2×C42×C43C2311yescharacteristic
317#95×C43C2311yescharacteristic
318#95×C43C2311yescharacteristic
319#95×C43C2311yescharacteristic
320#95×C43C2311yescharacteristic
321#95×C43C2311yescharacteristic
322#95×C43C2311yescharacteristic
323#95×C43C2311yescharacteristic
324#95×C43C2311yescharacteristic
325#95×C43C2311yescharacteristic
326#95×C43C2311yescharacteristic
327#95×C43C2311yescharacteristic
328#95×C43C2311yescharacteristic
329#95×C43C2311yescharacteristic
330#95×C43C2311yescharacteristic
331#95×C43C2311yescharacteristic
332#95×C43C2311yescharacteristic
333#95×C43C2311yescharacteristic
334#95×C43C2311yescharacteristic
335#95×C43C2311yescharacteristic
336#95×C43C2311yescharacteristic
337#95×C43C2311yescharacteristic
338#95×C43C2311yescharacteristic
339#95×C43C2311yescharacteristic
340#95×C43C2311yescharacteristic
341#95×C43C2311yescharacteristic
342#95×C43C2311yescharacteristic
343#95×C43C2311yescharacteristic
344#95×C43C2311yescharacteristic
345#95×C43C2311yescharacteristic
346#95×C43C2311yescharacteristic
347#95×C43C2311yescharacteristic
348#95×C43C2311yescharacteristic
349#95×C43C2311yescharacteristic
350#95×C43C2311yescharacteristic
351#95×C43C2311yescharacteristic
352#95×C43C2311yescharacteristic
353#95×C43C2311yescharacteristic
354#95×C43C2311yescharacteristic
355#95×C43C2311yescharacteristic
356#95×C43C2311yescharacteristic
357#95×C43C2311yescharacteristic
358#95×C43C2311yescharacteristic
359#95×C43C2311yescharacteristic
360#95×C43C2311yescharacteristic
361#95×C43C2311yescharacteristic
362#95×C43C2311yescharacteristic
363C24×C43C2411yescharacteristic
364C24×C43C2411yescharacteristic
365C24×C43C2411yescharacteristic
366C24×C43C2411yescharacteristic
367C24×C43C2411yescharacteristic
368#41×C43—416no—
369C2×Q8×C43—22no—
370C2×Q8×C43—22no—
371C2×Q8×C43—22no—
372C2×Q8×C43—41no—
373C2×Q8×C43—41no—
374C2×Q8×C43—41no—
375C2×Q8×C43—41no—
376C2×Q8×C43—41no—
377C2×Q8×C43—41no—
378C2×D4×C43—22no—
379C2×D4×C43—22no—
380C2×D4×C43—22no—
381C2×D4×C43—22no—
382C2×D4×C43—22no—
383C2×D4×C43—22no—
384C2×D4×C43—22no—
385C2×D4×C43—22no—
386C2×D4×C43—22no—
387C2×D4×C43—22no—
388C2×D4×C43—22no—
389C2×D4×C43—41no—
390C2×D4×C43—41no—
391C2×D4×C43—41no—
392C2×D4×C43—41no—
393C2×D4×C43—41no—
394C2×D4×C43—41no—
395C2×D4×C43—41no—
396C2×D4×C43—41no—
397C2×D4×C43—41no—
398C2×D4×C43—41no—
399C2×D4×C43—41no—
400C2×D4×C43—41no—
401C2×D4×C43—41no—
402C2×D4×C43—41no—
403C2×D4×C43—41no—
404C2×D4×C43—41no—
405C2×D4×C43—41no—
406C2×D4×C43—41no—
407C2×D4×C43—41no—
408C22×C4×C43—22no—
409C22×C4×C43—22no—
410C22×C4×C43—22no—
411C22×C4×C43—22no—
412C22×C4×C43—22no—
413C22×C4×C43—22no—
414C22×C4×C43—22no—
415C22×C4×C43—41no—
416C22×C4×C43—41no—
417C22×C4×C43—41no—
418C22×C4×C43—41no—
419C22×C4×C43—41no—
420C22×C4×C43—41no—
421C22×C4×C43—41no—
422C22×C4×C43—41no—
423C22×C4×C43—41no—
424C22×C4×C43—41no—
425C22×C4×C43—41no—
426C22×C4×C43—41no—
427C22×C4×C43—41no—
428C22×C4×C43—41no—
429C22×C4×C43—41no—
430C22×C4×C43—41no—
431C22×C4×C43—41no—
432C22×C4×C43—41no—
433C22×C4×C43—41no—
434C22×C4×C43#4114yes—
435C22×C4×C43C2411yescharacteristic
436C22×C4×C43C2411yescharacteristic
437C22×C4×C43C2411yescharacteristic
438C22×C4×C43C2411yescharacteristic
439C22×C4×C43C2411yescharacteristic
440C22×C4×C43C2411yescharacteristic
441C22×C4×C43C2411yescharacteristic
442C22×C4×C43C2411yescharacteristic
443C22×C4×C43C2411yescharacteristic
444C22×C4×C43C2411yescharacteristic
445C22×C4×C43C2411yescharacteristic
446C22×C4×C43C2411yescharacteristic
447C22×C4×C43C2411yescharacteristic
448C22×C4×C43C2411yescharacteristic
449C22×C4×C43C2411yescharacteristic
450C22×C4×C43C2411yescharacteristic
451C22×C4×C43C2411yescharacteristic
452C22×C4×C43C2411yescharacteristic
453C22×C4×C43C2411yescharacteristic
454C22×C4×C43C2411yescharacteristic
455C22×C4×C43C2411yescharacteristic
456C22×C4×C43C2411yescharacteristic
457C22×C4×C43C2411yescharacteristic
458C22×C4×C43C2411yescharacteristic
459C22×C4×C43C2411yescharacteristic
460C22×C4×C43C2411yescharacteristic
461C4⋊C4×C43—22no—
462C4⋊C4×C43—22no—
463C4⋊C4×C43—22no—
464C4⋊C4×C43—22no—
465C4⋊C4×C43—22no—
466C4⋊C4×C43—22no—
467C4⋊C4×C43—22no—
468C4⋊C4×C43—22no—
469C4⋊C4×C43—22no—
470C4⋊C4×C43—41no—
471C4⋊C4×C43—41no—
472C4⋊C4×C43—41no—
473C4⋊C4×C43—41no—
474C4⋊C4×C43—41no—
475C4⋊C4×C43—41no—
476C4⋊C4×C43—41no—
477C4⋊C4×C43—41no—
478C4⋊C4×C43—41no—
479C4⋊C4×C43—41no—
480C4⋊C4×C43—41no—
481C4⋊C4×C43—41no—
482C4⋊C4×C43—41no—
483C4⋊C4×C43—41no—
484C4⋊C4×C43—41no—
485C4⋊C4×C43—41no—
486C4⋊C4×C43—41no—
487C4⋊C4×C43—41no—
488C4⋊C4×C43—41no—
489C4⋊C4×C43—41no—
490C4⋊C4×C43—41no—
491C4⋊C4×C43—41no—
492C22⋊C4×C43—22no—
493C22⋊C4×C43—22no—
494C22⋊C4×C43—22no—
495C22⋊C4×C43—22no—
496C22⋊C4×C43—22no—
497C22⋊C4×C43—22no—
498C22⋊C4×C43—22no—
499C22⋊C4×C43—22no—
500C22⋊C4×C43—22no—
501C22⋊C4×C43—22no—
502C22⋊C4×C43—22no—
503C22⋊C4×C43—22no—
504C22⋊C4×C43—22no—
505C22⋊C4×C43—22no—
506C22⋊C4×C43—22no—
507C22⋊C4×C43—22no—
508C22⋊C4×C43—22no—
509C22⋊C4×C43—41no—
510C22⋊C4×C43—41no—
511C22⋊C4×C43—41no—
512C22⋊C4×C43—41no—
513C22⋊C4×C43—41no—
514C22⋊C4×C43—41no—
515C22⋊C4×C43—41no—
516C22⋊C4×C43—41no—
517C22⋊C4×C43—41no—
518C22⋊C4×C43—41no—
519C22⋊C4×C43—41no—
520C22⋊C4×C43—41no—
521C22⋊C4×C43—41no—
522C22⋊C4×C43—41no—
523C22⋊C4×C43—41no—
524C22⋊C4×C43—41no—
525C22⋊C4×C43—41no—
526C22⋊C4×C43—41no—
527C22⋊C4×C43—41no—
528C22⋊C4×C43—41no—
529C22⋊C4×C43—41no—
530C22⋊C4×C43—41no—
531C22⋊C4×C43—41no—
532C22⋊C4×C43—41no—
533C22⋊C4×C43—41no—
534C22⋊C4×C43—41no—
535C22⋊C4×C43—41no—
536C22⋊C4×C43—41no—
537C22⋊C4×C43—41no—
538C42×C43—22no—
539C42×C43—22no—
540C42×C43—22no—
541C42×C43—41no—
542C42×C43—41no—
543C42×C43—41no—
544C42×C43—41no—
545C42×C43—41no—
546C42×C43—41no—
547C42×C43—41no—
548C23×C43—21no—
549C23×C43—21no—
550C23×C43—21no—
551C23×C43—21no—
552C23×C43—21no—
553C23×C43—21no—
554C23×C43—21no—
555C23×C43—21no—
556C23×C43—21no—
557C23×C43—21no—
558C23×C43—21no—
559C23×C43—21no—
560C23×C43—21no—
561C23×C43—21no—
562C23×C43—21no—
563C23×C43—21no—
564C23×C43—21no—
565C23×C43—21no—
566C23×C43—21no—
567C23×C43—21no—
568C23×C43—21no—
569C23×C43—21no—
570C23×C43—21no—
571C23×C43—21no—
572C23×C43—21no—
573C23×C43—21no—
574C23×C43—21no—
575C23×C43—21no—
576C23×C43—21no—
577C23×C43—21no—
578C23×C43—21no—
579C23×C43—21no—
580C23×C43—21no—
581C23×C43C2×#4112yes—
582C23×C43H(5,𝔽2)12yes—
583C23×C43C2511yescharacteristic
584Q8×C43—44no—
585Q8×C43—82no—
586Q8×C43—82no—
587D4×C43—44no—
588D4×C43—44no—
589D4×C43—44no—
590D4×C43—44no—
591D4×C43—82no—
592D4×C43—82no—
593D4×C43—82no—
594D4×C43—82no—
595D4×C43—82no—
596D4×C43—82no—
597C2×C4×C43—28no—
598C2×C4×C43—21no—
599C2×C4×C43—21no—
600C2×C4×C43—21no—
601C2×C4×C43—21no—
602C2×C4×C43—21no—
603C2×C4×C43—21no—
604C2×C4×C43—21no—
605C2×C4×C43—21no—
606C2×C4×C43—21no—
607C2×C4×C43—21no—
608C2×C4×C43—21no—
609C2×C4×C43—21no—
610C2×C4×C43—21no—
611C2×C4×C43—21no—
612C2×C4×C43—21no—
613C2×C4×C43—21no—
614C2×C4×C43—21no—
615C2×C4×C43—21no—
616C2×C4×C43—21no—
617C2×C4×C43—21no—
618C2×C4×C43—21no—
619C2×C4×C43—21no—
620C2×C4×C43—21no—
621C2×C4×C43—21no—
622C2×C4×C43—21no—
623C2×C4×C43—21no—
624C2×C4×C43—21no—
625C2×C4×C43—21no—
626C2×C4×C43—21no—
627C2×C4×C43—21no—
628C2×C4×C43—21no—
629C2×C4×C43—21no—
630C2×C4×C43—21no—
631C2×C4×C43—21no—
632C2×C4×C43—21no—
633C2×C4×C43—21no—
634C2×C4×C43—21no—
635C2×C4×C43—21no—
636C2×C4×C43—21no—
637C2×C4×C43—21no—
638C2×C4×C43—21no—
639C2×C4×C43—21no—
640C2×C4×C43—21no—
641C2×C4×C43—21no—
642C2×C4×C43—21no—
643C2×C4×C43—21no—
644C2×C4×C43—21no—
645C2×C4×C43—21no—
646C2×C4×C43—21no—
647C2×C4×C43—21no—
648C2×C4×C43—21no—
649C2×C4×C43—21no—
650C2×C4×C43—21no—
651C2×C4×C43—21no—
652C2×C4×C43—21no—
653C2×C4×C43—21no—
654C2×C4×C43—21no—
655C2×C4×C43—21no—
656C2×C4×C43—21no—
657C2×C4×C43—21no—
658C2×C4×C43—21no—
659C2×C4×C43—21no—
660C2×C4×C43—21no—
661C2×C4×C43—21no—
662C2×C4×C43—21no—
663C2×C4×C43—21no—
664C2×C4×C43—21no—
665C2×C4×C43—21no—
666C2×C4×C43—21no—
667C2×C4×C43—21no—
668C2×C4×C43—21no—
669C2×C4×C43—21no—
670C2×C4×C43—21no—
671C2×C4×C43—44no—
672C2×C4×C43—44no—
673C2×C4×C43—44no—
674C2×C4×C43—44no—
675C2×C4×C43—82no—
676C2×C4×C43—82no—
677C2×C4×C43—82no—
678C2×C4×C43—82no—
679C2×C4×C43C2×#4112yes—
680C2×C4×C43C2×#4112yes—
681C2×C4×C43H(5,𝔽2)12yes—
682C2×C4×C43H(5,𝔽2)12yes—
683C2×C4×C432−1+412yes—
684#36817C4311yesmaximal, characteristic, direct product factor, Sylow
685C22×C43—22no—
686C22×C43—22no—
687C22×C43—22no—
688C22×C43—22no—
689C22×C43—22no—
690C22×C43—22no—
691C22×C43—41no—
692C22×C43—41no—
693C22×C43—41no—
694C22×C43—41no—
695C22×C43—41no—
696C22×C43—41no—
697C22×C43—41no—
698C22×C43—41no—
699C22×C43—41no—
700C22×C43—41no—
701C22×C43—41no—
702C22×C43—41no—
703C22×C43—41no—
704C22×C43—41no—
705C22×C43—41no—
706C22×C43—41no—
707C22×C43—41no—
708C22×C43—41no—
709C22×C43—41no—
710C22×C43—41no—
711C22×C43—41no—
712C22×C43—41no—
713C22×C43—41no—
714C22×C43—41no—
715C22×C43—41no—
716C22×C43—41no—
717C22×C43—41no—
718C22×C43—41no—
719C22×C43—41no—
720C22×C43C22×#4111yescharacteristic
721C22×C43C2×H(5,𝔽2)11yescharacteristic
722C22×C43C2×H(5,𝔽2)11yescharacteristic
723C22×C43C2×H(5,𝔽2)11yescharacteristic
724C22×C43C2×2−1+411yescharacteristic
725C22×C43#58511yescharacteristic
726C22×C43#58511yescharacteristic
727C4×C43—22no—
728C4×C43—22no—
729C4×C43—22no—
730C4×C43—22no—
731C4×C43—22no—
732C4×C43—41no—
733C4×C43—41no—
734C4×C43—41no—
735C4×C43—41no—
736C4×C43—41no—
737C4×C43—41no—
738C4×C43—41no—
739C4×C43—41no—
740C4×C43—41no—
741C4×C43—41no—
742C4×C43—41no—
743C4×C43—41no—
744C4×C43—41no—
745C4×C43—41no—
746C4×C43—41no—
747C4×C43—41no—
748C4×C43—41no—
749C4×C43—41no—
750C4×C43—41no—
751C4×C43—41no—
752C4×C43—41no—
753#2851C2×C4311yescharacteristic, complemented
754#2850C2×C4311yescharacteristic, complemented
755#2778C2×C4311yescharacteristic, complemented
756#2763C2×C4311yescharacteristic, complemented
757#2762C2×C4311yescharacteristic, complemented
758#2756C2×C4311yescharacteristic, complemented
759#2753C2×C4311yescharacteristic, complemented
760#2728C2×C4311yescharacteristic, complemented
761#2723C2×C4311yescharacteristic, complemented
762#2723C2×C4311yescharacteristic, complemented
763#2711C2×C4311yescharacteristic, complemented
764#2708C2×C4311yescharacteristic, complemented
765#2704C2×C4311yescharacteristic, complemented
766#2700C2×C4311yescharacteristic, complemented
767#2686C2×C4311yescharacteristic, complemented
768#2676C2×C4311yescharacteristic, complemented
769#2676C2×C4311yescharacteristic, complemented
770#2671C2×C4311yescharacteristic, complemented
771#2653C2×C4311yescharacteristic, complemented
772#2649C2×C4311yescharacteristic, complemented
773#2602C2×C4311yescharacteristic, complemented
774#2589C2×C4311yescharacteristic, complemented
775#2559C2×C4311yescharacteristic, complemented
776#2549C2×C4311yescharacteristic, complemented
777#2474C2×C4311yescharacteristic, complemented
778#2470C2×C4311yescharacteristic, complemented
779#2430C2×C4311yescharacteristic, complemented
780#2407C2×C4311yescharacteristic, complemented
781#2335C2×C4311yescharacteristic, complemented
782#2318C2×C4311yescharacteristic, complemented
783#2297C2×C4311yescharacteristic, complemented
784C2×C43—42no—
785C2×C43—42no—
786C2×C43—81no—
787C2×C43—81no—
788C2×C43—81no—
789C2×C43#345511yescharacteristic
790C2×C43#349011yescharacteristic
791C2×C43#351111yescharacteristic
792C2×C43#354111yescharacteristic
793C2×C43#354211yescharacteristic
794C2×C43#355811yescharacteristic
795C2×C43#355911yescharacteristic
796C22×#41C22×C4311yescharacteristic
797C2×#126C22×C4311yescharacteristic
798C2×#125C22×C4311yescharacteristic
799C2×#124C22×C4311yescharacteristic
800C2×#124C22×C4311yescharacteristic
801C2×#123C22×C4311yescharacteristic
802C2×#123C22×C4311yescharacteristic
803C2×C22⋊Q8C22×C4311yescharacteristic
804C2×C22⋊Q8C22×C4311yescharacteristic
805C2×C22⋊Q8C22×C4311yescharacteristic
806C2×C22⋊Q8C22×C4311yescharacteristic
807C2×#121C22×C4311yescharacteristic
808C2×#121C22×C4311yescharacteristic
809C2×#121C22×C4311yescharacteristic
810C2×#121C22×C4311yescharacteristic
811C2×#121C22×C4311yescharacteristic
812C2×C4×D4C22×C4311yescharacteristic
813C2×#117C22×C4311yescharacteristic
814C22×C42C22×C4311yescharacteristic
815#401C22×C4311yescharacteristic
816#400C22×C4311yescharacteristic
817#400C22×C4311yescharacteristic
818#400C22×C4311yescharacteristic
819#400C22×C4311yescharacteristic
820#400C22×C4311yescharacteristic
821#399C22×C4311yescharacteristic
822#399C22×C4311yescharacteristic
823#398C22×C4311yescharacteristic
824#398C22×C4311yescharacteristic
825#398C22×C4311yescharacteristic
826#398C22×C4311yescharacteristic
827#397C22×C4311yescharacteristic
828#397C22×C4311yescharacteristic
829#397C22×C4311yescharacteristic
830#397C22×C4311yescharacteristic
831#397C22×C4311yescharacteristic
832#397C22×C4311yescharacteristic
833#397C22×C4311yescharacteristic
834#396C22×C4311yescharacteristic
835#396C22×C4311yescharacteristic
836#396C22×C4311yescharacteristic
837#395C22×C4311yescharacteristic
838#395C22×C4311yescharacteristic
839#395C22×C4311yescharacteristic
840#395C22×C4311yescharacteristic
841#394C22×C4311yescharacteristic
842#394C22×C4311yescharacteristic
843#394C22×C4311yescharacteristic
844#394C22×C4311yescharacteristic
845#394C22×C4311yescharacteristic
846#394C22×C4311yescharacteristic
847#394C22×C4311yescharacteristic
848#394C22×C4311yescharacteristic
849#394C22×C4311yescharacteristic
850#394C22×C4311yescharacteristic
851#394C22×C4311yescharacteristic
852#394C22×C4311yescharacteristic
853#394C22×C4311yescharacteristic
854#394C22×C4311yescharacteristic
855#393C22×C4311yescharacteristic
856#393C22×C4311yescharacteristic
857#393C22×C4311yescharacteristic
858#393C22×C4311yescharacteristic
859#392C22×C4311yescharacteristic
860#392C22×C4311yescharacteristic
861#392C22×C4311yescharacteristic
862#392C22×C4311yescharacteristic
863#391C22×C4311yescharacteristic
864#391C22×C4311yescharacteristic
865#391C22×C4311yescharacteristic
866#391C22×C4311yescharacteristic
867#391C22×C4311yescharacteristic
868#391C22×C4311yescharacteristic
869#390C22×C4311yescharacteristic
870#390C22×C4311yescharacteristic
871#390C22×C4311yescharacteristic
872#390C22×C4311yescharacteristic
873#390C22×C4311yescharacteristic
874#389C22×C4311yescharacteristic
875#389C22×C4311yescharacteristic
876#389C22×C4311yescharacteristic
877#389C22×C4311yescharacteristic
878#389C22×C4311yescharacteristic
879#388C22×C4311yescharacteristic
880#388C22×C4311yescharacteristic
881#388C22×C4311yescharacteristic
882#388C22×C4311yescharacteristic
883#388C22×C4311yescharacteristic
884#388C22×C4311yescharacteristic
885#388C22×C4311yescharacteristic
886#388C22×C4311yescharacteristic
887#388C22×C4311yescharacteristic
888#388C22×C4311yescharacteristic
889#388C22×C4311yescharacteristic
890#388C22×C4311yescharacteristic
891#388C22×C4311yescharacteristic
892#388C22×C4311yescharacteristic
893#388C22×C4311yescharacteristic
894#388C22×C4311yescharacteristic
895#388C22×C4311yescharacteristic
896#387C22×C4311yescharacteristic
897#387C22×C4311yescharacteristic
898#387C22×C4311yescharacteristic
899#387C22×C4311yescharacteristic
900#387C22×C4311yescharacteristic
901#387C22×C4311yescharacteristic
902#387C22×C4311yescharacteristic
903#387C22×C4311yescharacteristic
904#387C22×C4311yescharacteristic
905#386C22×C4311yescharacteristic
906#386C22×C4311yescharacteristic
907#386C22×C4311yescharacteristic
908#386C22×C4311yescharacteristic
909#386C22×C4311yescharacteristic
910#386C22×C4311yescharacteristic
911#386C22×C4311yescharacteristic
912#386C22×C4311yescharacteristic
913#386C22×C4311yescharacteristic
914#386C22×C4311yescharacteristic
915#386C22×C4311yescharacteristic
916#386C22×C4311yescharacteristic
917#386C22×C4311yescharacteristic
918#386C22×C4311yescharacteristic
919#386C22×C4311yescharacteristic
920#386C22×C4311yescharacteristic
921#385C22×C4311yescharacteristic
922#385C22×C4311yescharacteristic
923#385C22×C4311yescharacteristic
924#385C22×C4311yescharacteristic
925#385C22×C4311yescharacteristic
926#385C22×C4311yescharacteristic
927#385C22×C4311yescharacteristic
928#385C22×C4311yescharacteristic
929#385C22×C4311yescharacteristic
930#385C22×C4311yescharacteristic
931#385C22×C4311yescharacteristic
932#385C22×C4311yescharacteristic
933#385C22×C4311yescharacteristic
934#385C22×C4311yescharacteristic
935#383C22×C4311yescharacteristic
936#382C22×C4311yescharacteristic
937#382C22×C4311yescharacteristic
938#382C22×C4311yescharacteristic
939#381C22×C4311yescharacteristic
940#380C22×C4311yescharacteristic
941#380C22×C4311yescharacteristic
942#380C22×C4311yescharacteristic
943#380C22×C4311yescharacteristic
944C4×C4⋊C4C22×C4311yescharacteristic
945C4×C22⋊C4C22×C4311yescharacteristic
946C4×C22⋊C4C22×C4311yescharacteristic
947C4×C22⋊C4C22×C4311yescharacteristic
948C4×C22⋊C4C22×C4311yescharacteristic
949C4×C22⋊C4C22×C4311yescharacteristic
950C2×#95C22×C4311yescharacteristic
951C43#3681711yescharacteristic, direct product factor, Sylow
952C2×#41—24no—
953C2×#41—42no—
954C2×#41—42no—
955C22×Q8C23×C4311yescharacteristic
956C22×Q8C23×C4311yescharacteristic
957C22×Q8C23×C4311yescharacteristic
958C22×D4C23×C4311yescharacteristic
959C22×D4C23×C4311yescharacteristic
960C22×D4C23×C4311yescharacteristic
961C22×D4C23×C4311yescharacteristic
962C22×D4C23×C4311yescharacteristic
963C22×D4C23×C4311yescharacteristic
964C22×D4C23×C4311yescharacteristic
965C22×D4C23×C4311yescharacteristic
966C22×D4C23×C4311yescharacteristic
967C22×D4C23×C4311yescharacteristic
968C23×C4C23×C4311yescharacteristic
969C23×C4C23×C4311yescharacteristic
970C23×C4C23×C4311yescharacteristic
971C23×C4C23×C4311yescharacteristic
972C23×C4C23×C4311yescharacteristic
973C23×C4C23×C4311yescharacteristic
974C23×C4C23×C4311yescharacteristic
975C23×C4C23×C4311yescharacteristic
976C23×C4C23×C4311yescharacteristic
977#126—42no—
978#125—42no—
979#124—42no—
980#124—42no—
981#123—24no—
982#123—42no—
983C22⋊Q8—42no—
984C22⋊Q8—42no—
985C22⋊Q8—42no—
986C22⋊Q8—42no—
987#121—42no—
988#121—42no—
989#121—42no—
990#121—42no—
991#121—42no—
992C4×D4—24no—
993#117—42no—
994C2×C4⋊C4C23×C4311yescharacteristic
995C2×C4⋊C4C23×C4311yescharacteristic
996C2×C4⋊C4C23×C4311yescharacteristic
997C2×C4⋊C4C23×C4311yescharacteristic
998C2×C4⋊C4C23×C4311yescharacteristic
999C2×C4⋊C4C23×C4311yescharacteristic
1000C2×C4⋊C4C23×C4311yescharacteristic
1001C2×C4⋊C4C23×C4311yescharacteristic
1002C2×C4⋊C4C23×C4311yescharacteristic
1003C2×C4⋊C4C23×C4311yescharacteristic
1004C2×C4⋊C4C23×C4311yescharacteristic
1005C2×C4⋊C4C23×C4311yescharacteristic
1006C2×C4⋊C4C23×C4311yescharacteristic
1007C2×C4⋊C4C23×C4311yescharacteristic
1008C2×C4⋊C4C23×C4311yescharacteristic
1009C2×C4⋊C4C23×C4311yescharacteristic
1010C2×C4⋊C4C23×C4311yescharacteristic
1011C2×C4⋊C4C23×C4311yescharacteristic
1012C2×C4⋊C4C23×C4311yescharacteristic
1013C2×C4⋊C4C23×C4311yescharacteristic
1014C2×C4⋊C4C23×C4311yescharacteristic
1015C2×C4⋊C4C23×C4311yescharacteristic
1016C2×C4⋊C4C23×C4311yescharacteristic
1017C2×C4⋊C4C23×C4311yescharacteristic
1018C2×C4⋊C4C23×C4311yescharacteristic
1019C2×C4⋊C4C23×C4311yescharacteristic
1020C2×C4⋊C4C23×C4311yescharacteristic
1021C2×C4⋊C4C23×C4311yescharacteristic
1022C2×C4⋊C4C23×C4311yescharacteristic
1023C2×C4⋊C4C23×C4311yescharacteristic
1024C2×C4⋊C4C23×C4311yescharacteristic
1025C2×C22⋊C4C23×C4311yescharacteristic
1026C2×C22⋊C4C23×C4311yescharacteristic
1027C2×C22⋊C4C23×C4311yescharacteristic
1028C2×C22⋊C4C23×C4311yescharacteristic
1029C2×C22⋊C4C23×C4311yescharacteristic
1030C2×C22⋊C4C23×C4311yescharacteristic
1031C2×C22⋊C4C23×C4311yescharacteristic
1032C2×C22⋊C4C23×C4311yescharacteristic
1033C2×C22⋊C4C23×C4311yescharacteristic
1034C2×C22⋊C4C23×C4311yescharacteristic
1035C2×C22⋊C4C23×C4311yescharacteristic
1036C2×C22⋊C4C23×C4311yescharacteristic
1037C2×C22⋊C4C23×C4311yescharacteristic
1038C2×C22⋊C4C23×C4311yescharacteristic
1039C2×C22⋊C4C23×C4311yescharacteristic
1040C2×C22⋊C4C23×C4311yescharacteristic
1041C2×C22⋊C4C23×C4311yescharacteristic
1042C2×C22⋊C4C23×C4311yescharacteristic
1043C2×C22⋊C4C23×C4311yescharacteristic
1044C2×C22⋊C4C23×C4311yescharacteristic
1045C2×C22⋊C4C23×C4311yescharacteristic
1046C2×C22⋊C4C23×C4311yescharacteristic
1047C2×C22⋊C4C23×C4311yescharacteristic
1048C2×C22⋊C4C23×C4311yescharacteristic
1049C2×C22⋊C4C23×C4311yescharacteristic
1050C2×C22⋊C4C23×C4311yescharacteristic
1051C2×C22⋊C4C23×C4311yescharacteristic
1052C2×C22⋊C4C23×C4311yescharacteristic
1053C2×C22⋊C4C23×C4311yescharacteristic
1054C2×C22⋊C4C23×C4311yescharacteristic
1055C2×C22⋊C4C23×C4311yescharacteristic
1056C2×C22⋊C4C23×C4311yescharacteristic
1057C2×C22⋊C4C23×C4311yescharacteristic
1058C2×C22⋊C4C23×C4311yescharacteristic
1059C2×C22⋊C4C23×C4311yescharacteristic
1060C2×C22⋊C4C23×C4311yescharacteristic
1061C2×C22⋊C4C23×C4311yescharacteristic
1062C2×C22⋊C4C23×C4311yescharacteristic
1063C2×C22⋊C4C23×C4311yescharacteristic
1064C2×C22⋊C4C23×C4311yescharacteristic
1065C2×C22⋊C4C23×C4311yescharacteristic
1066C2×C22⋊C4C23×C4311yescharacteristic
1067C2×C22⋊C4C23×C4311yescharacteristic
1068C2×C22⋊C4C23×C4311yescharacteristic
1069C2×C22⋊C4C23×C4311yescharacteristic
1070C2×C22⋊C4C23×C4311yescharacteristic
1071C2×C42—42no—
1072C2×C42C23×C4311yescharacteristic
1073C2×C42C23×C4311yescharacteristic
1074C2×C42C23×C4311yescharacteristic
1075C2×C42C23×C4311yescharacteristic
1076C2×C42C23×C4311yescharacteristic
1077C2×C42C23×C4311yescharacteristic
1078C2×C42C23×C4311yescharacteristic
1079C2×C42C23×C4311yescharacteristic
1080C2×C42C23×C4311yescharacteristic
1081C2×C42C23×C4311yescharacteristic
1082#95C23×C4311yescharacteristic
1083#95C23×C4311yescharacteristic
1084#95C23×C4311yescharacteristic
1085#95C23×C4311yescharacteristic
1086#95C23×C4311yescharacteristic
1087#95C23×C4311yescharacteristic
1088#95C23×C4311yescharacteristic
1089#95C23×C4311yescharacteristic
1090#95C23×C4311yescharacteristic
1091#95C23×C4311yescharacteristic
1092#95C23×C4311yescharacteristic
1093#95C23×C4311yescharacteristic
1094#95C23×C4311yescharacteristic
1095#95C23×C4311yescharacteristic
1096#95C23×C4311yescharacteristic
1097#95C23×C4311yescharacteristic
1098#95C23×C4311yescharacteristic
1099#95C23×C4311yescharacteristic
1100#95C23×C4311yescharacteristic
1101#95C23×C4311yescharacteristic
1102#95C23×C4311yescharacteristic
1103#95C23×C4311yescharacteristic
1104#95C23×C4311yescharacteristic
1105#95C23×C4311yescharacteristic
1106#95C23×C4311yescharacteristic
1107#95C23×C4311yescharacteristic
1108#95C23×C4311yescharacteristic
1109#95C23×C4311yescharacteristic
1110#95C23×C4311yescharacteristic
1111#95C23×C4311yescharacteristic
1112#95C23×C4311yescharacteristic
1113#95C23×C4311yescharacteristic
1114#95C23×C4311yescharacteristic
1115#95C23×C4311yescharacteristic
1116#95C23×C4311yescharacteristic
1117#95C23×C4311yescharacteristic
1118#95C23×C4311yescharacteristic
1119#95C23×C4311yescharacteristic
1120#95C23×C4311yescharacteristic
1121#95C23×C4311yescharacteristic
1122#95C23×C4311yescharacteristic
1123#95C23×C4311yescharacteristic
1124#95C23×C4311yescharacteristic
1125#95C23×C4311yescharacteristic
1126#95C23×C4311yescharacteristic
1127#95C23×C4311yescharacteristic
1128C24C24×C4311yescharacteristic
1129C24C24×C4311yescharacteristic
1130C24C24×C4311yescharacteristic
1131C24C24×C4311yescharacteristic
1132C24C24×C4311yescharacteristic
1133#41—416no—
1134C2×Q8—22no—
1135C2×Q8—22no—
1136C2×Q8—22no—
1137C2×Q8—41no—
1138C2×Q8—41no—
1139C2×Q8—41no—
1140C2×Q8—41no—
1141C2×Q8—41no—
1142C2×Q8—41no—
1143C2×D4—22no—
1144C2×D4—22no—
1145C2×D4—22no—
1146C2×D4—22no—
1147C2×D4—22no—
1148C2×D4—22no—
1149C2×D4—22no—
1150C2×D4—22no—
1151C2×D4—22no—
1152C2×D4—22no—
1153C2×D4—22no—
1154C2×D4—41no—
1155C2×D4—41no—
1156C2×D4—41no—
1157C2×D4—41no—
1158C2×D4—41no—
1159C2×D4—41no—
1160C2×D4—41no—
1161C2×D4—41no—
1162C2×D4—41no—
1163C2×D4—41no—
1164C2×D4—41no—
1165C2×D4—41no—
1166C2×D4—41no—
1167C2×D4—41no—
1168C2×D4—41no—
1169C2×D4—41no—
1170C2×D4—41no—
1171C2×D4—41no—
1172C2×D4—41no—
1173C22×C4—22no—
1174C22×C4—22no—
1175C22×C4—22no—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—22no—
1180C22×C4—41no—
1181C22×C4—41no—
1182C22×C4—41no—
1183C22×C4—41no—
1184C22×C4—41no—
1185C22×C4—41no—
1186C22×C4—41no—
1187C22×C4—41no—
1188C22×C4—41no—
1189C22×C4—41no—
1190C22×C4—41no—
1191C22×C4—41no—
1192C22×C4—41no—
1193C22×C4—41no—
1194C22×C4—41no—
1195C22×C4—41no—
1196C22×C4—41no—
1197C22×C4—41no—
1198C22×C4—41no—
1199C22×C4#41×C4314yes—
1200C22×C4C24×C4311yescharacteristic
1201C22×C4C24×C4311yescharacteristic
1202C22×C4C24×C4311yescharacteristic
1203C22×C4C24×C4311yescharacteristic
1204C22×C4C24×C4311yescharacteristic
1205C22×C4C24×C4311yescharacteristic
1206C22×C4C24×C4311yescharacteristic
1207C22×C4C24×C4311yescharacteristic
1208C22×C4C24×C4311yescharacteristic
1209C22×C4C24×C4311yescharacteristic
1210C22×C4C24×C4311yescharacteristic
1211C22×C4C24×C4311yescharacteristic
1212C22×C4C24×C4311yescharacteristic
1213C22×C4C24×C4311yescharacteristic
1214C22×C4C24×C4311yescharacteristic
1215C22×C4C24×C4311yescharacteristic
1216C22×C4C24×C4311yescharacteristic
1217C22×C4C24×C4311yescharacteristic
1218C22×C4C24×C4311yescharacteristic
1219C22×C4C24×C4311yescharacteristic
1220C22×C4C24×C4311yescharacteristic
1221C22×C4C24×C4311yescharacteristic
1222C22×C4C24×C4311yescharacteristic
1223C22×C4C24×C4311yescharacteristic
1224C22×C4C24×C4311yescharacteristic
1225C22×C4C24×C4311yescharacteristic
1226C4⋊C4—22no—
1227C4⋊C4—22no—
1228C4⋊C4—22no—
1229C4⋊C4—22no—
1230C4⋊C4—22no—
1231C4⋊C4—22no—
1232C4⋊C4—22no—
1233C4⋊C4—22no—
1234C4⋊C4—22no—
1235C4⋊C4—41no—
1236C4⋊C4—41no—
1237C4⋊C4—41no—
1238C4⋊C4—41no—
1239C4⋊C4—41no—
1240C4⋊C4—41no—
1241C4⋊C4—41no—
1242C4⋊C4—41no—
1243C4⋊C4—41no—
1244C4⋊C4—41no—
1245C4⋊C4—41no—
1246C4⋊C4—41no—
1247C4⋊C4—41no—
1248C4⋊C4—41no—
1249C4⋊C4—41no—
1250C4⋊C4—41no—
1251C4⋊C4—41no—
1252C4⋊C4—41no—
1253C4⋊C4—41no—
1254C4⋊C4—41no—
1255C4⋊C4—41no—
1256C4⋊C4—41no—
1257C22⋊C4—22no—
1258C22⋊C4—22no—
1259C22⋊C4—22no—
1260C22⋊C4—22no—
1261C22⋊C4—22no—
1262C22⋊C4—22no—
1263C22⋊C4—22no—
1264C22⋊C4—22no—
1265C22⋊C4—22no—
1266C22⋊C4—22no—
1267C22⋊C4—22no—
1268C22⋊C4—22no—
1269C22⋊C4—22no—
1270C22⋊C4—22no—
1271C22⋊C4—22no—
1272C22⋊C4—22no—
1273C22⋊C4—22no—
1274C22⋊C4—41no—
1275C22⋊C4—41no—
1276C22⋊C4—41no—
1277C22⋊C4—41no—
1278C22⋊C4—41no—
1279C22⋊C4—41no—
1280C22⋊C4—41no—
1281C22⋊C4—41no—
1282C22⋊C4—41no—
1283C22⋊C4—41no—
1284C22⋊C4—41no—
1285C22⋊C4—41no—
1286C22⋊C4—41no—
1287C22⋊C4—41no—
1288C22⋊C4—41no—
1289C22⋊C4—41no—
1290C22⋊C4—41no—
1291C22⋊C4—41no—
1292C22⋊C4—41no—
1293C22⋊C4—41no—
1294C22⋊C4—41no—
1295C22⋊C4—41no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4—41no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C42—22no—
1304C42—22no—
1305C42—22no—
1306C42—41no—
1307C42—41no—
1308C42—41no—
1309C42—41no—
1310C42—41no—
1311C42—41no—
1312C42—41no—
1313C23—21no—
1314C23—21no—
1315C23—21no—
1316C23—21no—
1317C23—21no—
1318C23—21no—
1319C23—21no—
1320C23—21no—
1321C23—21no—
1322C23—21no—
1323C23—21no—
1324C23—21no—
1325C23—21no—
1326C23—21no—
1327C23—21no—
1328C23—21no—
1329C23—21no—
1330C23—21no—
1331C23—21no—
1332C23—21no—
1333C23—21no—
1334C23—21no—
1335C23—21no—
1336C23—21no—
1337C23—21no—
1338C23—21no—
1339C23—21no—
1340C23—21no—
1341C23—21no—
1342C23—21no—
1343C23—21no—
1344C23—21no—
1345C23—21no—
1346C23C2×#41×C4312yes—
1347C23H(5,𝔽2)×C4312yes—
1348C23C25×C4311yescharacteristic
1349Q8—44no—
1350Q8—82no—
1351Q8—82no—
1352D4—44no—
1353D4—44no—
1354D4—44no—
1355D4—44no—
1356D4—82no—
1357D4—82no—
1358D4—82no—
1359D4—82no—
1360D4—82no—
1361D4—82no—
1362C2×C4—28no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—44no—
1437C2×C4—44no—
1438C2×C4—44no—
1439C2×C4—44no—
1440C2×C4—82no—
1441C2×C4—82no—
1442C2×C4—82no—
1443C2×C4—82no—
1444C2×C4C2×#41×C4312yes—
1445C2×C4C2×#41×C4312yes—
1446C2×C4H(5,𝔽2)×C4312yes—
1447C2×C4H(5,𝔽2)×C4312yes—
1448C2×C42−1+4×C4312yes—
1449C22—22no—
1450C22—22no—
1451C22—22no—
1452C22—22no—
1453C22—22no—
1454C22—22no—
1455C22—41no—
1456C22—41no—
1457C22—41no—
1458C22—41no—
1459C22—41no—
1460C22—41no—
1461C22—41no—
1462C22—41no—
1463C22—41no—
1464C22—41no—
1465C22—41no—
1466C22—41no—
1467C22—41no—
1468C22—41no—
1469C22—41no—
1470C22—41no—
1471C22—41no—
1472C22—41no—
1473C22—41no—
1474C22—41no—
1475C22—41no—
1476C22—41no—
1477C22—41no—
1478C22—41no—
1479C22—41no—
1480C22—41no—
1481C22—41no—
1482C22—41no—
1483C22—41no—
1484C22C22×#41×C4311yescharacteristic
1485C22C2×H(5,𝔽2)×C4311yescharacteristic
1486C22C2×H(5,𝔽2)×C4311yescharacteristic
1487C22C2×H(5,𝔽2)×C4311yescharacteristic
1488C22C2×2−1+4×C4311yescharacteristic
1489C22C43×#58511yescharacteristic
1490C22C43×#58511yescharacteristic
1491C4—22no—
1492C4—22no—
1493C4—22no—
1494C4—22no—
1495C4—22no—
1496C4—41no—
1497C4—41no—
1498C4—41no—
1499C4—41no—
1500C4—41no—
1501C4—41no—
1502C4—41no—
1503C4—41no—
1504C4—41no—
1505C4—41no—
1506C4—41no—
1507C4—41no—
1508C4—41no—
1509C4—41no—
1510C4—41no—
1511C4—41no—
1512C4—41no—
1513C4—41no—
1514C4—41no—
1515C4—41no—
1516C4—41no—
1517C2—42no—
1518C2—42no—
1519C2—81no—
1520C2—81no—
1521C2—81no—
1522C2C43×#345511yescharacteristic
1523C2C43×#349011yescharacteristic
1524C2C43×#351111yescharacteristic
1525C2C43×#354111yescharacteristic
1526C2C43×#354211yescharacteristic
1527C2C43×#355811yescharacteristic
1528C2C43×#355911yescharacteristic
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×#2851C2semidirect
2. C43×#2850C2semidirect
3. C43×#2778C2semidirect
4. C43×#2763C2semidirect
5. C43×#2762C2semidirect
6. C43×#2756C2semidirect
7. C43×#2753C2semidirect
8. C43×#2728C2semidirect
9. C43×#2723C2semidirect
10. C43×#2723C2semidirect
11. C43×#2711C2semidirect
12. C43×#2708C2semidirect
13. C43×#2704C2semidirect
14. C43×#2700C2semidirect
15. C43×#2686C2semidirect
16. C43×#2676C2semidirect
17. C43×#2676C2semidirect
18. C43×#2671C2semidirect
19. C43×#2653C2semidirect
20. C43×#2649C2semidirect
21. C43×#2602C2semidirect
22. C43×#2589C2semidirect
23. C43×#2559C2semidirect
24. C43×#2549C2semidirect
25. C43×#2474C2semidirect
26. C43×#2470C2semidirect
27. C43×#2430C2semidirect
28. C43×#2407C2semidirect
29. C43×#2335C2semidirect
30. C43×#2318C2semidirect
31. C43×#2297C2semidirect
684. #36817C43direct (N × H)
753. #2851C2×C43semidirect
754. #2850C2×C43semidirect
755. #2778C2×C43semidirect
756. #2763C2×C43semidirect
757. #2762C2×C43semidirect
758. #2756C2×C43semidirect
759. #2753C2×C43semidirect
760. #2728C2×C43semidirect
761. #2723C2×C43semidirect
762. #2723C2×C43semidirect
763. #2711C2×C43semidirect
764. #2708C2×C43semidirect
765. #2704C2×C43semidirect
766. #2700C2×C43semidirect
767. #2686C2×C43semidirect
768. #2676C2×C43semidirect
769. #2676C2×C43semidirect
770. #2671C2×C43semidirect
771. #2653C2×C43semidirect
772. #2649C2×C43semidirect
773. #2602C2×C43semidirect
774. #2589C2×C43semidirect
775. #2559C2×C43semidirect
776. #2549C2×C43semidirect
777. #2474C2×C43semidirect
778. #2470C2×C43semidirect
779. #2430C2×C43semidirect
780. #2407C2×C43semidirect
781. #2335C2×C43semidirect
782. #2318C2×C43semidirect
783. #2297C2×C43semidirect
951. C43#36817direct (N × H)

Maximal subgroups

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

subgroupindex
C43×#28512
C43×#28502
C43×#27782
C43×#27632
C43×#27622
C43×#27562
C43×#27532
C43×#27282
C43×#27232
C43×#27112
C43×#27082
C43×#27042
C43×#27002
C43×#26862
C43×#26762
C43×#26712
C43×#26532
C43×#26492
C43×#26022
C43×#25892
C43×#25592
C43×#25492
C43×#24742
C43×#24702
C43×#24302
C43×#24072
C43×#23352
C43×#23182
C43×#22972
#3681743