Finite Group Databasebeta

← C43×#36724 #24956741

Subgroups — C43×#36724 #24956741

Order 11008.

2644 conjugacy classes of subgroups.

The subgroup lattice has 1818 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C43×#538C211yesmaximal, characteristic, complemented
2C2×C43×#525C211yesmaximal, characteristic, complemented
3C43×#2849C211yesmaximal, characteristic, complemented
4C43×#2847C211yesmaximal, characteristic, complemented
5C43×#2705C211yesmaximal, characteristic, complemented
6C43×#2702C211yesmaximal, characteristic, complemented
7C43×#2700C211yesmaximal, characteristic, complemented
8C43×#2699C211yesmaximal, characteristic, complemented
9C43×#2687C211yesmaximal, characteristic, complemented
10C43×#2682C211yesmaximal, characteristic, complemented
11C43×#2681C211yesmaximal, characteristic, complemented
12C43×#2681C211yesmaximal, characteristic, complemented
13C43×#2679C211yesmaximal, characteristic, complemented
14C43×#2678C211yesmaximal, characteristic, complemented
15C43×#2678C211yesmaximal, characteristic, complemented
16C43×#2678C211yesmaximal, characteristic, complemented
17C43×#2672C211yesmaximal, characteristic, complemented
18C43×#2670C211yesmaximal, characteristic, complemented
19C43×#2669C211yesmaximal, characteristic, complemented
20C43×#2669C211yesmaximal, characteristic, complemented
21C43×#2635C211yesmaximal, characteristic, complemented
22C43×#2630C211yesmaximal, characteristic, complemented
23C43×#2610C211yesmaximal, characteristic, complemented
24C43×#2603C211yesmaximal, characteristic, complemented
25C43×#2601C211yesmaximal, characteristic, complemented
26C43×#2600C211yesmaximal, characteristic, complemented
27C43×#2544C211yesmaximal, characteristic, complemented
28C43×#2534C211yesmaximal, characteristic, complemented
29C43×#2407C211yesmaximal, characteristic, complemented
30C43×#2404C211yesmaximal, characteristic, complemented
31C43×#2319C211yesmaximal, characteristic, complemented
32C22×#41×C43C2211yescharacteristic
33C24×C4×C43C2211yescharacteristic, complemented
34C43×#538—28no—
35C2×#127×C43C2211yescharacteristic
36C2×#126×C43C2211yescharacteristic, complemented
37C2×#126×C43C2211yescharacteristic, complemented
38C2×#124×C43C2211yescharacteristic
39C2×#124×C43C2211yescharacteristic, complemented
40C2×#124×C43C2211yescharacteristic, complemented
41C43×#525—28no—
42C2×#123×C43C2211yescharacteristic
43C2×#123×C43C2211yescharacteristic
44C2×#123×C43C2211yescharacteristic
45C2×#123×C43C2211yescharacteristic
46C2×#123×C43C2211yescharacteristic, complemented
47C2×#123×C43C2211yescharacteristic, complemented
48C2×C22⋊Q8×C43C2211yescharacteristic, complemented
49C2×C22⋊Q8×C43C2211yescharacteristic, complemented
50C2×C22⋊Q8×C43C2211yescharacteristic, complemented
51C2×C22⋊Q8×C43C2211yescharacteristic, complemented
52C2×#121×C43C2211yescharacteristic
53C2×#121×C43C2211yescharacteristic
54C2×#121×C43C2211yescharacteristic
55C2×#121×C43C2211yescharacteristic
56C2×#121×C43C2211yescharacteristic
57C2×#121×C43C2211yescharacteristic
58C2×#121×C43C2211yescharacteristic
59C2×#121×C43C2211yescharacteristic, complemented
60C2×#120×C43C2211yescharacteristic
61C2×#120×C43C2211yescharacteristic
62C2×#120×C43C2211yescharacteristic
63C2×#120×C43C2211yescharacteristic
64C2×#120×C43C2211yescharacteristic
65C2×#120×C43C2211yescharacteristic
66C2×#120×C43C2211yescharacteristic, complemented
67C2×#120×C43C2211yescharacteristic, complemented
68C2×#120×C43C2211yescharacteristic, complemented
69C2×#120×C43C2211yescharacteristic, complemented
70C2×C4×D4×C43C2211yescharacteristic
71C2×C4×D4×C43C2211yescharacteristic
72C2×C4×D4×C43C2211yescharacteristic, complemented
73C2×C4×D4×C43C2211yescharacteristic, complemented
74C2×C4×D4×C43C2211yescharacteristic, complemented
75C2×#117×C43C2211yescharacteristic, complemented
76C22×C22⋊C4×C43C2211yescharacteristic, complemented
77C43×#400C2211yescharacteristic, complemented
78C43×#399C2211yescharacteristic, complemented
79C43×#398C2211yescharacteristic, complemented
80C43×#398C2211yescharacteristic, complemented
81C43×#398C2211yescharacteristic, complemented
82C43×#397C2211yescharacteristic, complemented
83C43×#397C2211yescharacteristic, complemented
84C43×#397C2211yescharacteristic, complemented
85C43×#396C2211yescharacteristic, complemented
86C43×#396C2211yescharacteristic, complemented
87C43×#396C2211yescharacteristic, complemented
88C43×#396C2211yescharacteristic, complemented
89C43×#396C2211yescharacteristic, complemented
90C43×#396C2211yescharacteristic, complemented
91C43×#395C2211yescharacteristic, complemented
92C43×#394C2211yescharacteristic
93C43×#394C2211yescharacteristic
94C43×#394C2211yescharacteristic
95C43×#394C2211yescharacteristic
96C43×#394C2211yescharacteristic
97C43×#394C2211yescharacteristic
98C43×#394C2211yescharacteristic
99C43×#394C2211yescharacteristic
100C43×#394C2211yescharacteristic, complemented
101C43×#394C2211yescharacteristic, complemented
102C43×#394C2211yescharacteristic, complemented
103C43×#394C2211yescharacteristic, complemented
104C43×#394C2211yescharacteristic, complemented
105C43×#394C2211yescharacteristic, complemented
106C43×#394C2211yescharacteristic, complemented
107C43×#394C2211yescharacteristic, complemented
108C43×#394C2211yescharacteristic, complemented
109C43×#394C2211yescharacteristic, complemented
110C43×#394C2211yescharacteristic, complemented
111C43×#393C2211yescharacteristic, complemented
112C43×#393C2211yescharacteristic, complemented
113C43×#393C2211yescharacteristic, complemented
114C43×#392C2211yescharacteristic
115C43×#392C2211yescharacteristic
116C43×#392C2211yescharacteristic
117C43×#392C2211yescharacteristic
118C43×#392C2211yescharacteristic
119C43×#392C2211yescharacteristic
120C43×#392C2211yescharacteristic
121C43×#392C2211yescharacteristic
122C43×#392C2211yescharacteristic, complemented
123C43×#392C2211yescharacteristic, complemented
124C43×#392C2211yescharacteristic, complemented
125C43×#391C2211yescharacteristic, complemented
126C43×#391C2211yescharacteristic, complemented
127C43×#390C2211yescharacteristic
128C43×#390C2211yescharacteristic
129C43×#390C2211yescharacteristic
130C43×#390C2211yescharacteristic
131C43×#390C2211yescharacteristic
132C43×#390C2211yescharacteristic, complemented
133C43×#390C2211yescharacteristic, complemented
134C43×#390C2211yescharacteristic, complemented
135C43×#390C2211yescharacteristic, complemented
136C43×#389C2211yescharacteristic, complemented
137C43×#389C2211yescharacteristic, complemented
138C43×#389C2211yescharacteristic, complemented
139C43×#388C2211yescharacteristic, complemented
140C43×#388C2211yescharacteristic, complemented
141C43×#388C2211yescharacteristic, complemented
142C43×#388C2211yescharacteristic, complemented
143C43×#388C2211yescharacteristic, complemented
144C43×#388C2211yescharacteristic, complemented
145C43×#388C2211yescharacteristic, complemented
146C43×#388C2211yescharacteristic, complemented
147C43×#388C2211yescharacteristic, complemented
148C43×#388C2211yescharacteristic, complemented
149C43×#388C2211yescharacteristic, complemented
150C43×#388C2211yescharacteristic, complemented
151C43×#388C2211yescharacteristic, complemented
152C43×#388C2211yescharacteristic, complemented
153C43×#387C2211yescharacteristic, complemented
154C43×#387C2211yescharacteristic, complemented
155C43×#386C2211yescharacteristic
156C43×#386C2211yescharacteristic
157C43×#386C2211yescharacteristic
158C43×#386C2211yescharacteristic
159C43×#386C2211yescharacteristic
160C43×#386C2211yescharacteristic
161C43×#386C2211yescharacteristic
162C43×#386C2211yescharacteristic
163C43×#386C2211yescharacteristic, complemented
164C43×#386C2211yescharacteristic, complemented
165C43×#386C2211yescharacteristic, complemented
166C43×#386C2211yescharacteristic, complemented
167C43×#386C2211yescharacteristic, complemented
168C43×#386C2211yescharacteristic, complemented
169C43×#386C2211yescharacteristic, complemented
170C43×#386C2211yescharacteristic, complemented
171C43×#385C2211yescharacteristic, complemented
172C43×#385C2211yescharacteristic, complemented
173C43×#385C2211yescharacteristic, complemented
174C43×#385C2211yescharacteristic, complemented
175C43×#385C2211yescharacteristic, complemented
176C43×#385C2211yescharacteristic, complemented
177C43×#381C2211yescharacteristic, complemented
178C43×#381C2211yescharacteristic, complemented
179C43×#381C2211yescharacteristic, complemented
180C43×#381C2211yescharacteristic, complemented
181C43×#380C2211yescharacteristic, complemented
182C43×#380C2211yescharacteristic, complemented
183C43×#380C2211yescharacteristic, complemented
184C43×#380C2211yescharacteristic, complemented
185C43×#379C2211yescharacteristic, complemented
186C43×#379C2211yescharacteristic, complemented
187C4×C4⋊C4×C43C2211yescharacteristic, complemented
188C43×#376C2211yescharacteristic, complemented
189C25×C43C2311yescharacteristic
190C25×C43C2311yescharacteristic
191C2×#41×C43—24no—
192C2×#41×C43—42no—
193C2×#41×C43—42no—
194C22×Q8×C43C2311yescharacteristic
195C22×Q8×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
205C22×D4×C43C2311yescharacteristic
206C22×D4×C43C2311yescharacteristic
207C22×D4×C43C2311yescharacteristic
208C22×D4×C43C2311yescharacteristic
209C22×D4×C43C2311yescharacteristic
210C22×D4×C43C2311yescharacteristic
211C22×D4×C43C2311yescharacteristic
212C22×D4×C43C2311yescharacteristic
213C22×D4×C43C2311yescharacteristic
214C22×D4×C43C2311yescharacteristic
215C22×D4×C43C2311yescharacteristic
216C22×D4×C43C2311yescharacteristic
217C22×D4×C43C2311yescharacteristic
218C23×C4×C43—24no—
219C23×C4×C43—42no—
220C23×C4×C43—42no—
221C23×C4×C43C2311yescharacteristic
222C23×C4×C43C2311yescharacteristic
223C23×C4×C43C2311yescharacteristic
224C23×C4×C43C2311yescharacteristic
225C23×C4×C43C2311yescharacteristic
226C23×C4×C43C2311yescharacteristic
227C23×C4×C43C2311yescharacteristic
228C23×C4×C43C2311yescharacteristic
229C23×C4×C43C2311yescharacteristic
230C23×C4×C43C2311yescharacteristic
231#127×C43—42no—
232#126×C43—24no—
233#126×C43—24no—
234#124×C43—24no—
235#124×C43—24no—
236#124×C43—42no—
237#123×C43—24no—
238#123×C43—24no—
239#123×C43—24no—
240#123×C43—24no—
241#123×C43—42no—
242#123×C43—42no—
243C22⋊Q8×C43—24no—
244C22⋊Q8×C43—24no—
245C22⋊Q8×C43—24no—
246C22⋊Q8×C43—42no—
247#121×C43—24no—
248#121×C43—24no—
249#121×C43—24no—
250#121×C43—24no—
251#121×C43—24no—
252#121×C43—42no—
253#121×C43—42no—
254#121×C43—42no—
255#120×C43—24no—
256#120×C43—24no—
257#120×C43—24no—
258#120×C43—24no—
259#120×C43—42no—
260#120×C43—42no—
261#120×C43—42no—
262#120×C43—42no—
263#120×C43—42no—
264#120×C43—42no—
265C4×D4×C43—24no—
266C4×D4×C43—24no—
267C4×D4×C43—24no—
268C4×D4×C43—24no—
269C4×D4×C43D418yescomplemented
270#117×C43—24no—
271C2×C4⋊C4×C43C2311yescharacteristic
272C2×C4⋊C4×C43C2311yescharacteristic
273C2×C4⋊C4×C43C2311yescharacteristic
274C2×C4⋊C4×C43C2311yescharacteristic
275C2×C4⋊C4×C43C2311yescharacteristic
276C2×C4⋊C4×C43C2311yescharacteristic
277C2×C4⋊C4×C43C2311yescharacteristic
278C2×C4⋊C4×C43C2311yescharacteristic
279C2×C4⋊C4×C43C2311yescharacteristic
280C2×C4⋊C4×C43C2311yescharacteristic
281C2×C4⋊C4×C43C2311yescharacteristic
282C2×C4⋊C4×C43C2311yescharacteristic
283C2×C4⋊C4×C43C2311yescharacteristic
284C2×C4⋊C4×C43C2311yescharacteristic
285C2×C4⋊C4×C43C2311yescharacteristic
286C2×C4⋊C4×C43C2311yescharacteristic
287C2×C4⋊C4×C43C2311yescharacteristic
288C2×C4⋊C4×C43C2311yescharacteristic
289C2×C4⋊C4×C43C2311yescharacteristic
290C2×C4⋊C4×C43C2311yescharacteristic
291C2×C4⋊C4×C43C2311yescharacteristic
292C2×C4⋊C4×C43C2311yescharacteristic
293C2×C4⋊C4×C43C2311yescharacteristic
294C2×C4⋊C4×C43C2311yescharacteristic
295C2×C22⋊C4×C43—24no—
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×C22⋊C4×C43C2311yescharacteristic
311C2×C22⋊C4×C43C2311yescharacteristic
312C2×C22⋊C4×C43C2311yescharacteristic
313C2×C22⋊C4×C43C2311yescharacteristic
314C2×C22⋊C4×C43C2311yescharacteristic
315C2×C22⋊C4×C43C2311yescharacteristic
316C2×C22⋊C4×C43C2311yescharacteristic
317C2×C22⋊C4×C43C2311yescharacteristic
318C2×C22⋊C4×C43C2311yescharacteristic
319C2×C22⋊C4×C43C2311yescharacteristic
320C2×C22⋊C4×C43C2311yescharacteristic
321C2×C22⋊C4×C43C2311yescharacteristic
322C2×C22⋊C4×C43C2311yescharacteristic
323C2×C22⋊C4×C43C2311yescharacteristic
324C2×C22⋊C4×C43C2311yescharacteristic
325C2×C22⋊C4×C43C2311yescharacteristic
326C2×C22⋊C4×C43C2311yescharacteristic
327C2×C22⋊C4×C43C2311yescharacteristic
328C2×C22⋊C4×C43C2311yescharacteristic
329C2×C22⋊C4×C43C2311yescharacteristic
330C2×C22⋊C4×C43C2311yescharacteristic
331C2×C22⋊C4×C43C2311yescharacteristic
332C2×C22⋊C4×C43C2311yescharacteristic
333C2×C22⋊C4×C43C2311yescharacteristic
334C2×C22⋊C4×C43C2311yescharacteristic
335C2×C22⋊C4×C43C2311yescharacteristic
336C2×C22⋊C4×C43C2311yescharacteristic
337C2×C22⋊C4×C43C2311yescharacteristic
338C2×C22⋊C4×C43C2311yescharacteristic
339C2×C22⋊C4×C43C2311yescharacteristic
340C2×C22⋊C4×C43C2311yescharacteristic
341C2×C22⋊C4×C43C2311yescharacteristic
342C2×C22⋊C4×C43C2311yescharacteristic
343C2×C22⋊C4×C43C2311yescharacteristic
344C2×C22⋊C4×C43C2311yescharacteristic
345C2×C22⋊C4×C43C2311yescharacteristic
346C2×C22⋊C4×C43C2311yescharacteristic
347C2×C22⋊C4×C43C2311yescharacteristic
348C2×C22⋊C4×C43C2311yescharacteristic
349C2×C22⋊C4×C43C2311yescharacteristic
350C2×C22⋊C4×C43C2311yescharacteristic
351C2×C22⋊C4×C43C2311yescharacteristic
352C2×C22⋊C4×C43C2311yescharacteristic
353C2×C22⋊C4×C43C2311yescharacteristic
354C2×C22⋊C4×C43C2311yescharacteristic
355C2×C22⋊C4×C43C2311yescharacteristic
356C2×C42×C43C2311yescharacteristic
357C2×C42×C43C2311yescharacteristic
358C2×C42×C43C2311yescharacteristic
359C2×C42×C43C2311yescharacteristic
360C2×C42×C43C2311yescharacteristic
361C2×C42×C43C2311yescharacteristic
362C2×C42×C43C2311yescharacteristic
363#95×C43C2311yescharacteristic
364#95×C43C2311yescharacteristic
365#95×C43C2311yescharacteristic
366#95×C43C2311yescharacteristic
367#95×C43C2311yescharacteristic
368#95×C43C2311yescharacteristic
369#95×C43C2311yescharacteristic
370#95×C43C2311yescharacteristic
371#95×C43C2311yescharacteristic
372#95×C43C2311yescharacteristic
373#95×C43C2311yescharacteristic
374#95×C43C2311yescharacteristic
375#95×C43C2311yescharacteristic
376#95×C43C2311yescharacteristic
377#95×C43C2311yescharacteristic
378#95×C43C2311yescharacteristic
379#95×C43C2311yescharacteristic
380#95×C43C2311yescharacteristic
381#95×C43C2311yescharacteristic
382#95×C43C2311yescharacteristic
383#95×C43C2311yescharacteristic
384#95×C43C2311yescharacteristic
385#95×C43C2311yescharacteristic
386#95×C43C2311yescharacteristic
387#95×C43C2311yescharacteristic
388#95×C43C2311yescharacteristic
389#95×C43C2311yescharacteristic
390#95×C43C2311yescharacteristic
391C24×C43—22no—
392C24×C43—22no—
393C24×C43—22no—
394C24×C43—22no—
395C24×C43—41no—
396C24×C43—41no—
397C24×C43—41no—
398C24×C43—41no—
399C24×C43—41no—
400C24×C43—41no—
401C24×C43—41no—
402C24×C43—41no—
403C24×C43—41no—
404C24×C43—41no—
405C24×C43C2411yescharacteristic
406C24×C43C2411yescharacteristic
407C24×C43C2411yescharacteristic
408C24×C43C2411yescharacteristic
409C24×C43C2411yescharacteristic
410C24×C43C2411yescharacteristic
411C24×C43C2411yescharacteristic
412C24×C43C2411yescharacteristic
413#41×C43—416no—
414C2×Q8×C43—22no—
415C2×Q8×C43—22no—
416C2×Q8×C43—22no—
417C2×Q8×C43—41no—
418C2×Q8×C43—41no—
419C2×Q8×C43—41no—
420C2×D4×C43—22no—
421C2×D4×C43—22no—
422C2×D4×C43—22no—
423C2×D4×C43—22no—
424C2×D4×C43—22no—
425C2×D4×C43—22no—
426C2×D4×C43—22no—
427C2×D4×C43—22no—
428C2×D4×C43—22no—
429C2×D4×C43—22no—
430C2×D4×C43—22no—
431C2×D4×C43—22no—
432C2×D4×C43—22no—
433C2×D4×C43—22no—
434C2×D4×C43—22no—
435C2×D4×C43—22no—
436C2×D4×C43—22no—
437C2×D4×C43—22no—
438C2×D4×C43—22no—
439C2×D4×C43—22no—
440C2×D4×C43—22no—
441C2×D4×C43—22no—
442C2×D4×C43—22no—
443C2×D4×C43—41no—
444C2×D4×C43—41no—
445C2×D4×C43—41no—
446C2×D4×C43—41no—
447C2×D4×C43—41no—
448C2×D4×C43—41no—
449C2×D4×C43—41no—
450C2×D4×C43—41no—
451C2×D4×C43—41no—
452C2×D4×C43—41no—
453C2×D4×C43—41no—
454C2×D4×C43—41no—
455C2×D4×C43—41no—
456C2×D4×C43—41no—
457C2×D4×C43—41no—
458C2×D4×C43—41no—
459C2×D4×C43—41no—
460C2×D4×C43—41no—
461C2×D4×C43—41no—
462C2×D4×C43—41no—
463C2×D4×C43—41no—
464C2×D4×C43—41no—
465C2×D4×C43—41no—
466C2×D4×C43—41no—
467C2×D4×C43—41no—
468C2×D4×C43—41no—
469C2×D4×C43—41no—
470C2×D4×C43—41no—
471C2×D4×C43—41no—
472C2×D4×C43—41no—
473C2×D4×C43—41no—
474C2×D4×C43—41no—
475C2×D4×C43—41no—
476C2×D4×C43—41no—
477C2×D4×C43—41no—
478C2×D4×C43—41no—
479C2×D4×C43—41no—
480C2×D4×C43—41no—
481C2×D4×C43—41no—
482C2×D4×C43—41no—
483C2×D4×C43—41no—
484C2×D4×C43—41no—
485C2×D4×C43C2×D414yes—
486C22×C4×C43—22no—
487C22×C4×C43—22no—
488C22×C4×C43—22no—
489C22×C4×C43—22no—
490C22×C4×C43—22no—
491C22×C4×C43—22no—
492C22×C4×C43—22no—
493C22×C4×C43—22no—
494C22×C4×C43—22no—
495C22×C4×C43—22no—
496C22×C4×C43—22no—
497C22×C4×C43—22no—
498C22×C4×C43—22no—
499C22×C4×C43—41no—
500C22×C4×C43—41no—
501C22×C4×C43—41no—
502C22×C4×C43—41no—
503C22×C4×C43—41no—
504C22×C4×C43—41no—
505C22×C4×C43—41no—
506C22×C4×C43—41no—
507C22×C4×C43—41no—
508C22×C4×C43—41no—
509C22×C4×C43—41no—
510C22×C4×C43—41no—
511C22×C4×C43—41no—
512C22×C4×C43—41no—
513C22×C4×C43—41no—
514C22×C4×C43—416no—
515C22×C4×C43C2×D414yes—
516C22×C4×C43C2×D414yes—
517C22×C4×C43C2411yescharacteristic
518C22×C4×C43C2411yescharacteristic
519C22×C4×C43C2411yescharacteristic
520C22×C4×C43C2411yescharacteristic
521C22×C4×C43C2411yescharacteristic
522C22×C4×C43C2411yescharacteristic
523C22×C4×C43C2411yescharacteristic
524C22×C4×C43C2411yescharacteristic
525C22×C4×C43C2411yescharacteristic
526C22×C4×C43C2411yescharacteristic
527C22×C4×C43C2411yescharacteristic
528C22×C4×C43C2411yescharacteristic
529C22×C4×C43C2411yescharacteristic
530C22×C4×C43C2411yescharacteristic
531C22×C4×C43C2411yescharacteristic
532C22×C4×C43C2411yescharacteristic
533C22×C4×C43C2411yescharacteristic
534C22×C4×C43C2411yescharacteristic
535C22×C4×C43C2411yescharacteristic
536C22×C4×C43C2411yescharacteristic
537C22×C4×C43C2411yescharacteristic
538C22×C4×C43C2411yescharacteristic
539C22×C4×C43C2411yescharacteristic
540C4⋊C4×C43—22no—
541C4⋊C4×C43—22no—
542C4⋊C4×C43—22no—
543C4⋊C4×C43—22no—
544C4⋊C4×C43—22no—
545C4⋊C4×C43—22no—
546C4⋊C4×C43—22no—
547C4⋊C4×C43—22no—
548C4⋊C4×C43—22no—
549C4⋊C4×C43—22no—
550C4⋊C4×C43—22no—
551C4⋊C4×C43—41no—
552C4⋊C4×C43—41no—
553C4⋊C4×C43—41no—
554C4⋊C4×C43—41no—
555C4⋊C4×C43—41no—
556C4⋊C4×C43—41no—
557C4⋊C4×C43—41no—
558C4⋊C4×C43—41no—
559C4⋊C4×C43—41no—
560C4⋊C4×C43—41no—
561C4⋊C4×C43—41no—
562C4⋊C4×C43—41no—
563C4⋊C4×C43C2×D414yes—
564C22⋊C4×C43—22no—
565C22⋊C4×C43—22no—
566C22⋊C4×C43—22no—
567C22⋊C4×C43—22no—
568C22⋊C4×C43—22no—
569C22⋊C4×C43—22no—
570C22⋊C4×C43—22no—
571C22⋊C4×C43—22no—
572C22⋊C4×C43—22no—
573C22⋊C4×C43—22no—
574C22⋊C4×C43—22no—
575C22⋊C4×C43—22no—
576C22⋊C4×C43—22no—
577C22⋊C4×C43—22no—
578C22⋊C4×C43—22no—
579C22⋊C4×C43—22no—
580C22⋊C4×C43—22no—
581C22⋊C4×C43—22no—
582C22⋊C4×C43—22no—
583C22⋊C4×C43—22no—
584C22⋊C4×C43—22no—
585C22⋊C4×C43—22no—
586C22⋊C4×C43—22no—
587C22⋊C4×C43—22no—
588C22⋊C4×C43—22no—
589C22⋊C4×C43—22no—
590C22⋊C4×C43—22no—
591C22⋊C4×C43—41no—
592C22⋊C4×C43—41no—
593C22⋊C4×C43—41no—
594C22⋊C4×C43—41no—
595C22⋊C4×C43—41no—
596C22⋊C4×C43—41no—
597C22⋊C4×C43—41no—
598C22⋊C4×C43—41no—
599C22⋊C4×C43—41no—
600C22⋊C4×C43—41no—
601C22⋊C4×C43—41no—
602C22⋊C4×C43—41no—
603C22⋊C4×C43—41no—
604C22⋊C4×C43—41no—
605C22⋊C4×C43—41no—
606C22⋊C4×C43—41no—
607C22⋊C4×C43—41no—
608C22⋊C4×C43—41no—
609C22⋊C4×C43—41no—
610C22⋊C4×C43—41no—
611C22⋊C4×C43—41no—
612C22⋊C4×C43—41no—
613C22⋊C4×C43—41no—
614C22⋊C4×C43—41no—
615C22⋊C4×C43—41no—
616C22⋊C4×C43—41no—
617C22⋊C4×C43—41no—
618C22⋊C4×C43—41no—
619C22⋊C4×C43—41no—
620C22⋊C4×C43—41no—
621C22⋊C4×C43—41no—
622C22⋊C4×C43C2×D414yes—
623C22⋊C4×C43C2×D414yes—
624C42×C43—22no—
625C42×C43—22no—
626C42×C43—41no—
627C42×C43—41no—
628C42×C43—41no—
629C42×C43—41no—
630C42×C43C2×D414yes—
631C23×C43—21no—
632C23×C43—21no—
633C23×C43—21no—
634C23×C43—21no—
635C23×C43—21no—
636C23×C43—21no—
637C23×C43—21no—
638C23×C43—21no—
639C23×C43—21no—
640C23×C43—21no—
641C23×C43—21no—
642C23×C43—21no—
643C23×C43—21no—
644C23×C43—21no—
645C23×C43—21no—
646C23×C43—21no—
647C23×C43—21no—
648C23×C43—21no—
649C23×C43—21no—
650C23×C43—21no—
651C23×C43—21no—
652C23×C43—21no—
653C23×C43—21no—
654C23×C43—21no—
655C23×C43—21no—
656C23×C43—21no—
657C23×C43—21no—
658C23×C43—21no—
659C23×C43—21no—
660C23×C43—21no—
661C23×C43—21no—
662C23×C43—21no—
663C23×C43—21no—
664C23×C43—21no—
665C23×C43—21no—
666C23×C43—21no—
667C23×C43—21no—
668C23×C43—21no—
669C23×C43—21no—
670C23×C43—21no—
671C23×C43—21no—
672C23×C43—21no—
673C23×C43—21no—
674C23×C43—21no—
675C23×C43—21no—
676C23×C43—21no—
677C23×C43—21no—
678C23×C43—21no—
679C23×C43—21no—
680C23×C43—21no—
681C23×C43—21no—
682C23×C43—21no—
683C23×C43—44no—
684C23×C43—44no—
685C23×C43—44no—
686C23×C43—44no—
687C23×C43—44no—
688C23×C43—44no—
689C23×C43—44no—
690C23×C43—44no—
691C23×C43—82no—
692C23×C43—82no—
693C23×C43—82no—
694C23×C43—82no—
695C23×C43—82no—
696C23×C43—82no—
697C23×C43C22×D412yes—
698C23×C43C22×D412yes—
699C23×C43H(5,𝔽2)12yes—
700C23×C43H(5,𝔽2)12yes—
701C23×C43C2511yescharacteristic
702Q8×C43—44no—
703Q8×C43—82no—
704D4×C43—44no—
705D4×C43—44no—
706D4×C43—44no—
707D4×C43—44no—
708D4×C43—44no—
709D4×C43—44no—
710D4×C43—44no—
711D4×C43—44no—
712D4×C43—82no—
713D4×C43—82no—
714D4×C43—82no—
715D4×C43—82no—
716D4×C43—82no—
717D4×C43—82no—
718D4×C43—82no—
719D4×C43—82no—
720D4×C43—82no—
721D4×C43—82no—
722D4×C43—82no—
723D4×C43—82no—
724D4×C43—82no—
725D4×C43—82no—
726C2×C4×C43—28no—
727C2×C4×C43—21no—
728C2×C4×C43—21no—
729C2×C4×C43—21no—
730C2×C4×C43—21no—
731C2×C4×C43—21no—
732C2×C4×C43—21no—
733C2×C4×C43—21no—
734C2×C4×C43—21no—
735C2×C4×C43—21no—
736C2×C4×C43—21no—
737C2×C4×C43—21no—
738C2×C4×C43—21no—
739C2×C4×C43—21no—
740C2×C4×C43—21no—
741C2×C4×C43—21no—
742C2×C4×C43—21no—
743C2×C4×C43—21no—
744C2×C4×C43—21no—
745C2×C4×C43—21no—
746C2×C4×C43—21no—
747C2×C4×C43—21no—
748C2×C4×C43—21no—
749C2×C4×C43—21no—
750C2×C4×C43—21no—
751C2×C4×C43—21no—
752C2×C4×C43—21no—
753C2×C4×C43—21no—
754C2×C4×C43—21no—
755C2×C4×C43—21no—
756C2×C4×C43—21no—
757C2×C4×C43—21no—
758C2×C4×C43—21no—
759C2×C4×C43—21no—
760C2×C4×C43—21no—
761C2×C4×C43—21no—
762C2×C4×C43—21no—
763C2×C4×C43—21no—
764C2×C4×C43—21no—
765C2×C4×C43—21no—
766C2×C4×C43—21no—
767C2×C4×C43—21no—
768C2×C4×C43—21no—
769C2×C4×C43—21no—
770C2×C4×C43—21no—
771C2×C4×C43—21no—
772C2×C4×C43—21no—
773C2×C4×C43—21no—
774C2×C4×C43—21no—
775C2×C4×C43—21no—
776C2×C4×C43—21no—
777C2×C4×C43—21no—
778C2×C4×C43—21no—
779C2×C4×C43—21no—
780C2×C4×C43—21no—
781C2×C4×C43—21no—
782C2×C4×C43—21no—
783C2×C4×C43—21no—
784C2×C4×C43—21no—
785C2×C4×C43—21no—
786C2×C4×C43—21no—
787C2×C4×C43—21no—
788C2×C4×C43—21no—
789C2×C4×C43—21no—
790C2×C4×C43—44no—
791C2×C4×C43—44no—
792C2×C4×C43—44no—
793C2×C4×C43—44no—
794C2×C4×C43—44no—
795C2×C4×C43—44no—
796C2×C4×C43—44no—
797C2×C4×C43—82no—
798C2×C4×C43—82no—
799C2×C4×C43C22×D412yes—
800C2×C4×C43C22×D412yes—
801C2×C4×C43C22×D412yes—
802C2×C4×C43C22×D412yes—
803C2×C4×C43C22×D412yes—
804C2×C4×C43H(5,𝔽2)12yes—
805#36724C4311yesmaximal, characteristic, direct product factor, Sylow
806C22×C43—22no—
807C22×C43—22no—
808C22×C43—22no—
809C22×C43—22no—
810C22×C43—22no—
811C22×C43—22no—
812C22×C43—22no—
813C22×C43—22no—
814C22×C43—22no—
815C22×C43—22no—
816C22×C43—22no—
817C22×C43—22no—
818C22×C43—416no—
819C22×C43—41no—
820C22×C43—41no—
821C22×C43—41no—
822C22×C43—41no—
823C22×C43—41no—
824C22×C43—41no—
825C22×C43—41no—
826C22×C43—41no—
827C22×C43—41no—
828C22×C43—41no—
829C22×C43—41no—
830C22×C43—41no—
831C22×C43—41no—
832C22×C43—41no—
833C22×C43—41no—
834C22×C43—41no—
835C22×C43—41no—
836C22×C43—41no—
837C22×C43—41no—
838C22×C43—41no—
839C22×C43—41no—
840C22×C43—41no—
841C22×C43—41no—
842C22×C43—41no—
843C22×C43—41no—
844C22×C43—41no—
845C22×C43—41no—
846C22×C43—41no—
847C22×C43—41no—
848C22×C43—41no—
849C22×C43—41no—
850C22×C43—41no—
851C22×C43—41no—
852C22×C43—41no—
853C22×C43—41no—
854C22×C43—41no—
855C22×C43—41no—
856C22×C43—41no—
857C22×C43—41no—
858C22×C43—41no—
859C22×C43—41no—
860C22×C43—41no—
861C22×C43—41no—
862C22×C43—41no—
863C22×C43—88no—
864C22×C43C23×D411yescharacteristic
865C22×C43C2×H(5,𝔽2)11yescharacteristic
866C22×C43C2×H(5,𝔽2)11yescharacteristic
867C22×C43C2×H(5,𝔽2)11yescharacteristic
868C22×C43#58511yescharacteristic
869C22×C43#58511yescharacteristic
870C22×C43#58511yescharacteristic
871C4×C43—22no—
872C4×C43—22no—
873C4×C43—22no—
874C4×C43—22no—
875C4×C43—22no—
876C4×C43—22no—
877C4×C43—41no—
878C4×C43—41no—
879C4×C43—41no—
880C4×C43—41no—
881C4×C43—41no—
882C4×C43—41no—
883C4×C43—41no—
884C4×C43—41no—
885C4×C43—41no—
886C4×C43—41no—
887C4×C43—41no—
888C4×C43—41no—
889C4×C43—41no—
890C4×C43—41no—
891C4×C43—41no—
892C4×C43—41no—
893C4×C43—41no—
894C2×#538C2×C4311yescharacteristic, complemented
895C2×#525C2×C4311yescharacteristic, complemented
896#2849C2×C4311yescharacteristic, complemented
897#2847C2×C4311yescharacteristic, complemented
898#2705C2×C4311yescharacteristic, complemented
899#2702C2×C4311yescharacteristic, complemented
900#2700C2×C4311yescharacteristic, complemented
901#2699C2×C4311yescharacteristic, complemented
902#2687C2×C4311yescharacteristic, complemented
903#2682C2×C4311yescharacteristic, complemented
904#2681C2×C4311yescharacteristic, complemented
905#2681C2×C4311yescharacteristic, complemented
906#2679C2×C4311yescharacteristic, complemented
907#2678C2×C4311yescharacteristic, complemented
908#2678C2×C4311yescharacteristic, complemented
909#2678C2×C4311yescharacteristic, complemented
910#2672C2×C4311yescharacteristic, complemented
911#2670C2×C4311yescharacteristic, complemented
912#2669C2×C4311yescharacteristic, complemented
913#2669C2×C4311yescharacteristic, complemented
914#2635C2×C4311yescharacteristic, complemented
915#2630C2×C4311yescharacteristic, complemented
916#2610C2×C4311yescharacteristic, complemented
917#2603C2×C4311yescharacteristic, complemented
918#2601C2×C4311yescharacteristic, complemented
919#2600C2×C4311yescharacteristic, complemented
920#2544C2×C4311yescharacteristic, complemented
921#2534C2×C4311yescharacteristic, complemented
922#2407C2×C4311yescharacteristic, complemented
923#2404C2×C4311yescharacteristic, complemented
924#2319C2×C4311yescharacteristic, complemented
925C2×C43—42no—
926C2×C43—42no—
927C2×C43—42no—
928C2×C43—42no—
929C2×C43—81no—
930C2×C43—81no—
931C2×C43—81no—
932C2×C43—81no—
933C2×C43#344911yescharacteristic
934C2×C43#348411yescharacteristic
935C2×C43#348811yescharacteristic
936C2×C43#353311yescharacteristic
937C2×C43#353411yescharacteristic
938C2×C43#354011yescharacteristic
939C2×C43#354211yescharacteristic
940C22×#41C22×C4311yescharacteristic
941C24×C4C22×C4311yescharacteristic, complemented
942#538—28no—
943C2×#127C22×C4311yescharacteristic
944C2×#126C22×C4311yescharacteristic, complemented
945C2×#126C22×C4311yescharacteristic, complemented
946C2×#124C22×C4311yescharacteristic
947C2×#124C22×C4311yescharacteristic, complemented
948C2×#124C22×C4311yescharacteristic, complemented
949#525—28no—
950C2×#123C22×C4311yescharacteristic
951C2×#123C22×C4311yescharacteristic
952C2×#123C22×C4311yescharacteristic
953C2×#123C22×C4311yescharacteristic
954C2×#123C22×C4311yescharacteristic, complemented
955C2×#123C22×C4311yescharacteristic, complemented
956C2×C22⋊Q8C22×C4311yescharacteristic, complemented
957C2×C22⋊Q8C22×C4311yescharacteristic, complemented
958C2×C22⋊Q8C22×C4311yescharacteristic, complemented
959C2×C22⋊Q8C22×C4311yescharacteristic, complemented
960C2×#121C22×C4311yescharacteristic
961C2×#121C22×C4311yescharacteristic
962C2×#121C22×C4311yescharacteristic
963C2×#121C22×C4311yescharacteristic
964C2×#121C22×C4311yescharacteristic
965C2×#121C22×C4311yescharacteristic
966C2×#121C22×C4311yescharacteristic
967C2×#121C22×C4311yescharacteristic, complemented
968C2×#120C22×C4311yescharacteristic
969C2×#120C22×C4311yescharacteristic
970C2×#120C22×C4311yescharacteristic
971C2×#120C22×C4311yescharacteristic
972C2×#120C22×C4311yescharacteristic
973C2×#120C22×C4311yescharacteristic
974C2×#120C22×C4311yescharacteristic, complemented
975C2×#120C22×C4311yescharacteristic, complemented
976C2×#120C22×C4311yescharacteristic, complemented
977C2×#120C22×C4311yescharacteristic, complemented
978C2×C4×D4C22×C4311yescharacteristic
979C2×C4×D4C22×C4311yescharacteristic
980C2×C4×D4C22×C4311yescharacteristic, complemented
981C2×C4×D4C22×C4311yescharacteristic, complemented
982C2×C4×D4C22×C4311yescharacteristic, complemented
983C2×#117C22×C4311yescharacteristic, complemented
984C22×C22⋊C4C22×C4311yescharacteristic, complemented
985#400C22×C4311yescharacteristic, complemented
986#399C22×C4311yescharacteristic, complemented
987#398C22×C4311yescharacteristic, complemented
988#398C22×C4311yescharacteristic, complemented
989#398C22×C4311yescharacteristic, complemented
990#397C22×C4311yescharacteristic, complemented
991#397C22×C4311yescharacteristic, complemented
992#397C22×C4311yescharacteristic, complemented
993#396C22×C4311yescharacteristic, complemented
994#396C22×C4311yescharacteristic, complemented
995#396C22×C4311yescharacteristic, complemented
996#396C22×C4311yescharacteristic, complemented
997#396C22×C4311yescharacteristic, complemented
998#396C22×C4311yescharacteristic, complemented
999#395C22×C4311yescharacteristic, complemented
1000#394C22×C4311yescharacteristic
1001#394C22×C4311yescharacteristic
1002#394C22×C4311yescharacteristic
1003#394C22×C4311yescharacteristic
1004#394C22×C4311yescharacteristic
1005#394C22×C4311yescharacteristic
1006#394C22×C4311yescharacteristic
1007#394C22×C4311yescharacteristic
1008#394C22×C4311yescharacteristic, complemented
1009#394C22×C4311yescharacteristic, complemented
1010#394C22×C4311yescharacteristic, complemented
1011#394C22×C4311yescharacteristic, complemented
1012#394C22×C4311yescharacteristic, complemented
1013#394C22×C4311yescharacteristic, complemented
1014#394C22×C4311yescharacteristic, complemented
1015#394C22×C4311yescharacteristic, complemented
1016#394C22×C4311yescharacteristic, complemented
1017#394C22×C4311yescharacteristic, complemented
1018#394C22×C4311yescharacteristic, complemented
1019#393C22×C4311yescharacteristic, complemented
1020#393C22×C4311yescharacteristic, complemented
1021#393C22×C4311yescharacteristic, complemented
1022#392C22×C4311yescharacteristic
1023#392C22×C4311yescharacteristic
1024#392C22×C4311yescharacteristic
1025#392C22×C4311yescharacteristic
1026#392C22×C4311yescharacteristic
1027#392C22×C4311yescharacteristic
1028#392C22×C4311yescharacteristic
1029#392C22×C4311yescharacteristic
1030#392C22×C4311yescharacteristic, complemented
1031#392C22×C4311yescharacteristic, complemented
1032#392C22×C4311yescharacteristic, complemented
1033#391C22×C4311yescharacteristic, complemented
1034#391C22×C4311yescharacteristic, complemented
1035#390C22×C4311yescharacteristic
1036#390C22×C4311yescharacteristic
1037#390C22×C4311yescharacteristic
1038#390C22×C4311yescharacteristic
1039#390C22×C4311yescharacteristic
1040#390C22×C4311yescharacteristic, complemented
1041#390C22×C4311yescharacteristic, complemented
1042#390C22×C4311yescharacteristic, complemented
1043#390C22×C4311yescharacteristic, complemented
1044#389C22×C4311yescharacteristic, complemented
1045#389C22×C4311yescharacteristic, complemented
1046#389C22×C4311yescharacteristic, complemented
1047#388C22×C4311yescharacteristic, complemented
1048#388C22×C4311yescharacteristic, complemented
1049#388C22×C4311yescharacteristic, complemented
1050#388C22×C4311yescharacteristic, complemented
1051#388C22×C4311yescharacteristic, complemented
1052#388C22×C4311yescharacteristic, complemented
1053#388C22×C4311yescharacteristic, complemented
1054#388C22×C4311yescharacteristic, complemented
1055#388C22×C4311yescharacteristic, complemented
1056#388C22×C4311yescharacteristic, complemented
1057#388C22×C4311yescharacteristic, complemented
1058#388C22×C4311yescharacteristic, complemented
1059#388C22×C4311yescharacteristic, complemented
1060#388C22×C4311yescharacteristic, complemented
1061#387C22×C4311yescharacteristic, complemented
1062#387C22×C4311yescharacteristic, complemented
1063#386C22×C4311yescharacteristic
1064#386C22×C4311yescharacteristic
1065#386C22×C4311yescharacteristic
1066#386C22×C4311yescharacteristic
1067#386C22×C4311yescharacteristic
1068#386C22×C4311yescharacteristic
1069#386C22×C4311yescharacteristic
1070#386C22×C4311yescharacteristic
1071#386C22×C4311yescharacteristic, complemented
1072#386C22×C4311yescharacteristic, complemented
1073#386C22×C4311yescharacteristic, complemented
1074#386C22×C4311yescharacteristic, complemented
1075#386C22×C4311yescharacteristic, complemented
1076#386C22×C4311yescharacteristic, complemented
1077#386C22×C4311yescharacteristic, complemented
1078#386C22×C4311yescharacteristic, complemented
1079#385C22×C4311yescharacteristic, complemented
1080#385C22×C4311yescharacteristic, complemented
1081#385C22×C4311yescharacteristic, complemented
1082#385C22×C4311yescharacteristic, complemented
1083#385C22×C4311yescharacteristic, complemented
1084#385C22×C4311yescharacteristic, complemented
1085#381C22×C4311yescharacteristic, complemented
1086#381C22×C4311yescharacteristic, complemented
1087#381C22×C4311yescharacteristic, complemented
1088#381C22×C4311yescharacteristic, complemented
1089#380C22×C4311yescharacteristic, complemented
1090#380C22×C4311yescharacteristic, complemented
1091#380C22×C4311yescharacteristic, complemented
1092#380C22×C4311yescharacteristic, complemented
1093#379C22×C4311yescharacteristic, complemented
1094#379C22×C4311yescharacteristic, complemented
1095C4×C4⋊C4C22×C4311yescharacteristic, complemented
1096#376C22×C4311yescharacteristic, complemented
1097C43#3672411yescharacteristic, direct product factor, Sylow
1098C25C23×C4311yescharacteristic
1099C25C23×C4311yescharacteristic
1100C2×#41—24no—
1101C2×#41—42no—
1102C2×#41—42no—
1103C22×Q8C23×C4311yescharacteristic
1104C22×Q8C23×C4311yescharacteristic
1105C22×D4C23×C4311yescharacteristic
1106C22×D4C23×C4311yescharacteristic
1107C22×D4C23×C4311yescharacteristic
1108C22×D4C23×C4311yescharacteristic
1109C22×D4C23×C4311yescharacteristic
1110C22×D4C23×C4311yescharacteristic
1111C22×D4C23×C4311yescharacteristic
1112C22×D4C23×C4311yescharacteristic
1113C22×D4C23×C4311yescharacteristic
1114C22×D4C23×C4311yescharacteristic
1115C22×D4C23×C4311yescharacteristic
1116C22×D4C23×C4311yescharacteristic
1117C22×D4C23×C4311yescharacteristic
1118C22×D4C23×C4311yescharacteristic
1119C22×D4C23×C4311yescharacteristic
1120C22×D4C23×C4311yescharacteristic
1121C22×D4C23×C4311yescharacteristic
1122C22×D4C23×C4311yescharacteristic
1123C22×D4C23×C4311yescharacteristic
1124C22×D4C23×C4311yescharacteristic
1125C22×D4C23×C4311yescharacteristic
1126C22×D4C23×C4311yescharacteristic
1127C23×C4—24no—
1128C23×C4—42no—
1129C23×C4—42no—
1130C23×C4C23×C4311yescharacteristic
1131C23×C4C23×C4311yescharacteristic
1132C23×C4C23×C4311yescharacteristic
1133C23×C4C23×C4311yescharacteristic
1134C23×C4C23×C4311yescharacteristic
1135C23×C4C23×C4311yescharacteristic
1136C23×C4C23×C4311yescharacteristic
1137C23×C4C23×C4311yescharacteristic
1138C23×C4C23×C4311yescharacteristic
1139C23×C4C23×C4311yescharacteristic
1140#127—42no—
1141#126—24no—
1142#126—24no—
1143#124—24no—
1144#124—24no—
1145#124—42no—
1146#123—24no—
1147#123—24no—
1148#123—24no—
1149#123—24no—
1150#123—42no—
1151#123—42no—
1152C22⋊Q8—24no—
1153C22⋊Q8—24no—
1154C22⋊Q8—24no—
1155C22⋊Q8—42no—
1156#121—24no—
1157#121—24no—
1158#121—24no—
1159#121—24no—
1160#121—24no—
1161#121—42no—
1162#121—42no—
1163#121—42no—
1164#120—24no—
1165#120—24no—
1166#120—24no—
1167#120—24no—
1168#120—42no—
1169#120—42no—
1170#120—42no—
1171#120—42no—
1172#120—42no—
1173#120—42no—
1174C4×D4—24no—
1175C4×D4—24no—
1176C4×D4—24no—
1177C4×D4—24no—
1178C4×D4D4×C4318yescomplemented
1179#117—24no—
1180C2×C4⋊C4C23×C4311yescharacteristic
1181C2×C4⋊C4C23×C4311yescharacteristic
1182C2×C4⋊C4C23×C4311yescharacteristic
1183C2×C4⋊C4C23×C4311yescharacteristic
1184C2×C4⋊C4C23×C4311yescharacteristic
1185C2×C4⋊C4C23×C4311yescharacteristic
1186C2×C4⋊C4C23×C4311yescharacteristic
1187C2×C4⋊C4C23×C4311yescharacteristic
1188C2×C4⋊C4C23×C4311yescharacteristic
1189C2×C4⋊C4C23×C4311yescharacteristic
1190C2×C4⋊C4C23×C4311yescharacteristic
1191C2×C4⋊C4C23×C4311yescharacteristic
1192C2×C4⋊C4C23×C4311yescharacteristic
1193C2×C4⋊C4C23×C4311yescharacteristic
1194C2×C4⋊C4C23×C4311yescharacteristic
1195C2×C4⋊C4C23×C4311yescharacteristic
1196C2×C4⋊C4C23×C4311yescharacteristic
1197C2×C4⋊C4C23×C4311yescharacteristic
1198C2×C4⋊C4C23×C4311yescharacteristic
1199C2×C4⋊C4C23×C4311yescharacteristic
1200C2×C4⋊C4C23×C4311yescharacteristic
1201C2×C4⋊C4C23×C4311yescharacteristic
1202C2×C4⋊C4C23×C4311yescharacteristic
1203C2×C4⋊C4C23×C4311yescharacteristic
1204C2×C22⋊C4—24no—
1205C2×C22⋊C4C23×C4311yescharacteristic
1206C2×C22⋊C4C23×C4311yescharacteristic
1207C2×C22⋊C4C23×C4311yescharacteristic
1208C2×C22⋊C4C23×C4311yescharacteristic
1209C2×C22⋊C4C23×C4311yescharacteristic
1210C2×C22⋊C4C23×C4311yescharacteristic
1211C2×C22⋊C4C23×C4311yescharacteristic
1212C2×C22⋊C4C23×C4311yescharacteristic
1213C2×C22⋊C4C23×C4311yescharacteristic
1214C2×C22⋊C4C23×C4311yescharacteristic
1215C2×C22⋊C4C23×C4311yescharacteristic
1216C2×C22⋊C4C23×C4311yescharacteristic
1217C2×C22⋊C4C23×C4311yescharacteristic
1218C2×C22⋊C4C23×C4311yescharacteristic
1219C2×C22⋊C4C23×C4311yescharacteristic
1220C2×C22⋊C4C23×C4311yescharacteristic
1221C2×C22⋊C4C23×C4311yescharacteristic
1222C2×C22⋊C4C23×C4311yescharacteristic
1223C2×C22⋊C4C23×C4311yescharacteristic
1224C2×C22⋊C4C23×C4311yescharacteristic
1225C2×C22⋊C4C23×C4311yescharacteristic
1226C2×C22⋊C4C23×C4311yescharacteristic
1227C2×C22⋊C4C23×C4311yescharacteristic
1228C2×C22⋊C4C23×C4311yescharacteristic
1229C2×C22⋊C4C23×C4311yescharacteristic
1230C2×C22⋊C4C23×C4311yescharacteristic
1231C2×C22⋊C4C23×C4311yescharacteristic
1232C2×C22⋊C4C23×C4311yescharacteristic
1233C2×C22⋊C4C23×C4311yescharacteristic
1234C2×C22⋊C4C23×C4311yescharacteristic
1235C2×C22⋊C4C23×C4311yescharacteristic
1236C2×C22⋊C4C23×C4311yescharacteristic
1237C2×C22⋊C4C23×C4311yescharacteristic
1238C2×C22⋊C4C23×C4311yescharacteristic
1239C2×C22⋊C4C23×C4311yescharacteristic
1240C2×C22⋊C4C23×C4311yescharacteristic
1241C2×C22⋊C4C23×C4311yescharacteristic
1242C2×C22⋊C4C23×C4311yescharacteristic
1243C2×C22⋊C4C23×C4311yescharacteristic
1244C2×C22⋊C4C23×C4311yescharacteristic
1245C2×C22⋊C4C23×C4311yescharacteristic
1246C2×C22⋊C4C23×C4311yescharacteristic
1247C2×C22⋊C4C23×C4311yescharacteristic
1248C2×C22⋊C4C23×C4311yescharacteristic
1249C2×C22⋊C4C23×C4311yescharacteristic
1250C2×C22⋊C4C23×C4311yescharacteristic
1251C2×C22⋊C4C23×C4311yescharacteristic
1252C2×C22⋊C4C23×C4311yescharacteristic
1253C2×C22⋊C4C23×C4311yescharacteristic
1254C2×C22⋊C4C23×C4311yescharacteristic
1255C2×C22⋊C4C23×C4311yescharacteristic
1256C2×C22⋊C4C23×C4311yescharacteristic
1257C2×C22⋊C4C23×C4311yescharacteristic
1258C2×C22⋊C4C23×C4311yescharacteristic
1259C2×C22⋊C4C23×C4311yescharacteristic
1260C2×C22⋊C4C23×C4311yescharacteristic
1261C2×C22⋊C4C23×C4311yescharacteristic
1262C2×C22⋊C4C23×C4311yescharacteristic
1263C2×C22⋊C4C23×C4311yescharacteristic
1264C2×C22⋊C4C23×C4311yescharacteristic
1265C2×C42C23×C4311yescharacteristic
1266C2×C42C23×C4311yescharacteristic
1267C2×C42C23×C4311yescharacteristic
1268C2×C42C23×C4311yescharacteristic
1269C2×C42C23×C4311yescharacteristic
1270C2×C42C23×C4311yescharacteristic
1271C2×C42C23×C4311yescharacteristic
1272#95C23×C4311yescharacteristic
1273#95C23×C4311yescharacteristic
1274#95C23×C4311yescharacteristic
1275#95C23×C4311yescharacteristic
1276#95C23×C4311yescharacteristic
1277#95C23×C4311yescharacteristic
1278#95C23×C4311yescharacteristic
1279#95C23×C4311yescharacteristic
1280#95C23×C4311yescharacteristic
1281#95C23×C4311yescharacteristic
1282#95C23×C4311yescharacteristic
1283#95C23×C4311yescharacteristic
1284#95C23×C4311yescharacteristic
1285#95C23×C4311yescharacteristic
1286#95C23×C4311yescharacteristic
1287#95C23×C4311yescharacteristic
1288#95C23×C4311yescharacteristic
1289#95C23×C4311yescharacteristic
1290#95C23×C4311yescharacteristic
1291#95C23×C4311yescharacteristic
1292#95C23×C4311yescharacteristic
1293#95C23×C4311yescharacteristic
1294#95C23×C4311yescharacteristic
1295#95C23×C4311yescharacteristic
1296#95C23×C4311yescharacteristic
1297#95C23×C4311yescharacteristic
1298#95C23×C4311yescharacteristic
1299#95C23×C4311yescharacteristic
1300C24—22no—
1301C24—22no—
1302C24—22no—
1303C24—22no—
1304C24—41no—
1305C24—41no—
1306C24—41no—
1307C24—41no—
1308C24—41no—
1309C24—41no—
1310C24—41no—
1311C24—41no—
1312C24—41no—
1313C24—41no—
1314C24C24×C4311yescharacteristic
1315C24C24×C4311yescharacteristic
1316C24C24×C4311yescharacteristic
1317C24C24×C4311yescharacteristic
1318C24C24×C4311yescharacteristic
1319C24C24×C4311yescharacteristic
1320C24C24×C4311yescharacteristic
1321C24C24×C4311yescharacteristic
1322#41—416no—
1323C2×Q8—22no—
1324C2×Q8—22no—
1325C2×Q8—22no—
1326C2×Q8—41no—
1327C2×Q8—41no—
1328C2×Q8—41no—
1329C2×D4—22no—
1330C2×D4—22no—
1331C2×D4—22no—
1332C2×D4—22no—
1333C2×D4—22no—
1334C2×D4—22no—
1335C2×D4—22no—
1336C2×D4—22no—
1337C2×D4—22no—
1338C2×D4—22no—
1339C2×D4—22no—
1340C2×D4—22no—
1341C2×D4—22no—
1342C2×D4—22no—
1343C2×D4—22no—
1344C2×D4—22no—
1345C2×D4—22no—
1346C2×D4—22no—
1347C2×D4—22no—
1348C2×D4—22no—
1349C2×D4—22no—
1350C2×D4—22no—
1351C2×D4—22no—
1352C2×D4—41no—
1353C2×D4—41no—
1354C2×D4—41no—
1355C2×D4—41no—
1356C2×D4—41no—
1357C2×D4—41no—
1358C2×D4—41no—
1359C2×D4—41no—
1360C2×D4—41no—
1361C2×D4—41no—
1362C2×D4—41no—
1363C2×D4—41no—
1364C2×D4—41no—
1365C2×D4—41no—
1366C2×D4—41no—
1367C2×D4—41no—
1368C2×D4—41no—
1369C2×D4—41no—
1370C2×D4—41no—
1371C2×D4—41no—
1372C2×D4—41no—
1373C2×D4—41no—
1374C2×D4—41no—
1375C2×D4—41no—
1376C2×D4—41no—
1377C2×D4—41no—
1378C2×D4—41no—
1379C2×D4—41no—
1380C2×D4—41no—
1381C2×D4—41no—
1382C2×D4—41no—
1383C2×D4—41no—
1384C2×D4—41no—
1385C2×D4—41no—
1386C2×D4—41no—
1387C2×D4—41no—
1388C2×D4—41no—
1389C2×D4—41no—
1390C2×D4—41no—
1391C2×D4—41no—
1392C2×D4—41no—
1393C2×D4—41no—
1394C2×D4C2×D4×C4314yes—
1395C22×C4—22no—
1396C22×C4—22no—
1397C22×C4—22no—
1398C22×C4—22no—
1399C22×C4—22no—
1400C22×C4—22no—
1401C22×C4—22no—
1402C22×C4—22no—
1403C22×C4—22no—
1404C22×C4—22no—
1405C22×C4—22no—
1406C22×C4—22no—
1407C22×C4—22no—
1408C22×C4—41no—
1409C22×C4—41no—
1410C22×C4—41no—
1411C22×C4—41no—
1412C22×C4—41no—
1413C22×C4—41no—
1414C22×C4—41no—
1415C22×C4—41no—
1416C22×C4—41no—
1417C22×C4—41no—
1418C22×C4—41no—
1419C22×C4—41no—
1420C22×C4—41no—
1421C22×C4—41no—
1422C22×C4—41no—
1423C22×C4—416no—
1424C22×C4C2×D4×C4314yes—
1425C22×C4C2×D4×C4314yes—
1426C22×C4C24×C4311yescharacteristic
1427C22×C4C24×C4311yescharacteristic
1428C22×C4C24×C4311yescharacteristic
1429C22×C4C24×C4311yescharacteristic
1430C22×C4C24×C4311yescharacteristic
1431C22×C4C24×C4311yescharacteristic
1432C22×C4C24×C4311yescharacteristic
1433C22×C4C24×C4311yescharacteristic
1434C22×C4C24×C4311yescharacteristic
1435C22×C4C24×C4311yescharacteristic
1436C22×C4C24×C4311yescharacteristic
1437C22×C4C24×C4311yescharacteristic
1438C22×C4C24×C4311yescharacteristic
1439C22×C4C24×C4311yescharacteristic
1440C22×C4C24×C4311yescharacteristic
1441C22×C4C24×C4311yescharacteristic
1442C22×C4C24×C4311yescharacteristic
1443C22×C4C24×C4311yescharacteristic
1444C22×C4C24×C4311yescharacteristic
1445C22×C4C24×C4311yescharacteristic
1446C22×C4C24×C4311yescharacteristic
1447C22×C4C24×C4311yescharacteristic
1448C22×C4C24×C4311yescharacteristic
1449C4⋊C4—22no—
1450C4⋊C4—22no—
1451C4⋊C4—22no—
1452C4⋊C4—22no—
1453C4⋊C4—22no—
1454C4⋊C4—22no—
1455C4⋊C4—22no—
1456C4⋊C4—22no—
1457C4⋊C4—22no—
1458C4⋊C4—22no—
1459C4⋊C4—22no—
1460C4⋊C4—41no—
1461C4⋊C4—41no—
1462C4⋊C4—41no—
1463C4⋊C4—41no—
1464C4⋊C4—41no—
1465C4⋊C4—41no—
1466C4⋊C4—41no—
1467C4⋊C4—41no—
1468C4⋊C4—41no—
1469C4⋊C4—41no—
1470C4⋊C4—41no—
1471C4⋊C4—41no—
1472C4⋊C4C2×D4×C4314yes—
1473C22⋊C4—22no—
1474C22⋊C4—22no—
1475C22⋊C4—22no—
1476C22⋊C4—22no—
1477C22⋊C4—22no—
1478C22⋊C4—22no—
1479C22⋊C4—22no—
1480C22⋊C4—22no—
1481C22⋊C4—22no—
1482C22⋊C4—22no—
1483C22⋊C4—22no—
1484C22⋊C4—22no—
1485C22⋊C4—22no—
1486C22⋊C4—22no—
1487C22⋊C4—22no—
1488C22⋊C4—22no—
1489C22⋊C4—22no—
1490C22⋊C4—22no—
1491C22⋊C4—22no—
1492C22⋊C4—22no—
1493C22⋊C4—22no—
1494C22⋊C4—22no—
1495C22⋊C4—22no—
1496C22⋊C4—22no—
1497C22⋊C4—22no—
1498C22⋊C4—22no—
1499C22⋊C4—22no—
1500C22⋊C4—41no—
1501C22⋊C4—41no—
1502C22⋊C4—41no—
1503C22⋊C4—41no—
1504C22⋊C4—41no—
1505C22⋊C4—41no—
1506C22⋊C4—41no—
1507C22⋊C4—41no—
1508C22⋊C4—41no—
1509C22⋊C4—41no—
1510C22⋊C4—41no—
1511C22⋊C4—41no—
1512C22⋊C4—41no—
1513C22⋊C4—41no—
1514C22⋊C4—41no—
1515C22⋊C4—41no—
1516C22⋊C4—41no—
1517C22⋊C4—41no—
1518C22⋊C4—41no—
1519C22⋊C4—41no—
1520C22⋊C4—41no—
1521C22⋊C4—41no—
1522C22⋊C4—41no—
1523C22⋊C4—41no—
1524C22⋊C4—41no—
1525C22⋊C4—41no—
1526C22⋊C4—41no—
1527C22⋊C4—41no—
1528C22⋊C4—41no—
1529C22⋊C4—41no—
1530C22⋊C4—41no—
1531C22⋊C4C2×D4×C4314yes—
1532C22⋊C4C2×D4×C4314yes—
1533C42—22no—
1534C42—22no—
1535C42—41no—
1536C42—41no—
1537C42—41no—
1538C42—41no—
1539C42C2×D4×C4314yes—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—21no—
1570C23—21no—
1571C23—21no—
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—21no—
1577C23—21no—
1578C23—21no—
1579C23—21no—
1580C23—21no—
1581C23—21no—
1582C23—21no—
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—21no—
1589C23—21no—
1590C23—21no—
1591C23—21no—
1592C23—44no—
1593C23—44no—
1594C23—44no—
1595C23—44no—
1596C23—44no—
1597C23—44no—
1598C23—44no—
1599C23—44no—
1600C23—82no—
1601C23—82no—
1602C23—82no—
1603C23—82no—
1604C23—82no—
1605C23—82no—
1606C23C22×D4×C4312yes—
1607C23C22×D4×C4312yes—
1608C23H(5,𝔽2)×C4312yes—
1609C23H(5,𝔽2)×C4312yes—
1610C23C25×C4311yescharacteristic
1611Q8—44no—
1612Q8—82no—
1613D4—44no—
1614D4—44no—
1615D4—44no—
1616D4—44no—
1617D4—44no—
1618D4—44no—
1619D4—44no—
1620D4—44no—
1621D4—82no—
1622D4—82no—
1623D4—82no—
1624D4—82no—
1625D4—82no—
1626D4—82no—
1627D4—82no—
1628D4—82no—
1629D4—82no—
1630D4—82no—
1631D4—82no—
1632D4—82no—
1633D4—82no—
1634D4—82no—
1635C2×C4—28no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—44no—
1700C2×C4—44no—
1701C2×C4—44no—
1702C2×C4—44no—
1703C2×C4—44no—
1704C2×C4—44no—
1705C2×C4—44no—
1706C2×C4—82no—
1707C2×C4—82no—
1708C2×C4C22×D4×C4312yes—
1709C2×C4C22×D4×C4312yes—
1710C2×C4C22×D4×C4312yes—
1711C2×C4C22×D4×C4312yes—
1712C2×C4C22×D4×C4312yes—
1713C2×C4H(5,𝔽2)×C4312yes—
1714C22—22no—
1715C22—22no—
1716C22—22no—
1717C22—22no—
1718C22—22no—
1719C22—22no—
1720C22—22no—
1721C22—22no—
1722C22—22no—
1723C22—22no—
1724C22—22no—
1725C22—22no—
1726C22—416no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—41no—
1751C22—41no—
1752C22—41no—
1753C22—41no—
1754C22—41no—
1755C22—41no—
1756C22—41no—
1757C22—41no—
1758C22—41no—
1759C22—41no—
1760C22—41no—
1761C22—41no—
1762C22—41no—
1763C22—41no—
1764C22—41no—
1765C22—41no—
1766C22—41no—
1767C22—41no—
1768C22—41no—
1769C22—41no—
1770C22—41no—
1771C22—88no—
1772C22C23×D4×C4311yescharacteristic
1773C22C2×H(5,𝔽2)×C4311yescharacteristic
1774C22C2×H(5,𝔽2)×C4311yescharacteristic
1775C22C2×H(5,𝔽2)×C4311yescharacteristic
1776C22C43×#58511yescharacteristic
1777C22C43×#58511yescharacteristic
1778C22C43×#58511yescharacteristic
1779C4—22no—
1780C4—22no—
1781C4—22no—
1782C4—22no—
1783C4—22no—
1784C4—22no—
1785C4—41no—
1786C4—41no—
1787C4—41no—
1788C4—41no—
1789C4—41no—
1790C4—41no—
1791C4—41no—
1792C4—41no—
1793C4—41no—
1794C4—41no—
1795C4—41no—
1796C4—41no—
1797C4—41no—
1798C4—41no—
1799C4—41no—
1800C4—41no—
1801C4—41no—
1802C2—42no—
1803C2—42no—
1804C2—42no—
1805C2—42no—
1806C2—81no—
1807C2—81no—
1808C2—81no—
1809C2—81no—
1810C2C43×#344911yescharacteristic
1811C2C43×#348411yescharacteristic
1812C2C43×#348811yescharacteristic
1813C2C43×#353311yescharacteristic
1814C2C43×#353411yescharacteristic
1815C2C43×#354011yescharacteristic
1816C2C43×#354211yescharacteristic
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. C2×C43×#538C2semidirect
2. C2×C43×#525C2semidirect
3. C43×#2849C2semidirect
4. C43×#2847C2semidirect
5. C43×#2705C2semidirect
6. C43×#2702C2semidirect
7. C43×#2700C2semidirect
8. C43×#2699C2semidirect
9. C43×#2687C2semidirect
10. C43×#2682C2semidirect
11. C43×#2681C2semidirect
12. C43×#2681C2semidirect
13. C43×#2679C2semidirect
14. C43×#2678C2semidirect
15. C43×#2678C2semidirect
16. C43×#2678C2semidirect
17. C43×#2672C2semidirect
18. C43×#2670C2semidirect
19. C43×#2669C2semidirect
20. C43×#2669C2semidirect
21. C43×#2635C2semidirect
22. C43×#2630C2semidirect
23. C43×#2610C2semidirect
24. C43×#2603C2semidirect
25. C43×#2601C2semidirect
26. C43×#2600C2semidirect
27. C43×#2544C2semidirect
28. C43×#2534C2semidirect
29. C43×#2407C2semidirect
30. C43×#2404C2semidirect
31. C43×#2319C2semidirect
33. C24×C4×C43C22semidirect
36. C2×#126×C43C22semidirect
37. C2×#126×C43C22semidirect
39. C2×#124×C43C22semidirect
40. C2×#124×C43C22semidirect
46. C2×#123×C43C22semidirect
47. C2×#123×C43C22semidirect
48. C2×C22⋊Q8×C43C22semidirect
49. C2×C22⋊Q8×C43C22semidirect
50. C2×C22⋊Q8×C43C22semidirect
51. C2×C22⋊Q8×C43C22semidirect
59. C2×#121×C43C22semidirect
66. C2×#120×C43C22semidirect
67. C2×#120×C43C22semidirect
68. C2×#120×C43C22semidirect
69. C2×#120×C43C22semidirect
72. C2×C4×D4×C43C22semidirect
73. C2×C4×D4×C43C22semidirect
74. C2×C4×D4×C43C22semidirect
75. C2×#117×C43C22semidirect
76. C22×C22⋊C4×C43C22semidirect
77. C43×#400C22semidirect
78. C43×#399C22semidirect
79. C43×#398C22semidirect
80. C43×#398C22semidirect
81. C43×#398C22semidirect
82. C43×#397C22semidirect
83. C43×#397C22semidirect
84. C43×#397C22semidirect
85. C43×#396C22semidirect
86. C43×#396C22semidirect
87. C43×#396C22semidirect
88. C43×#396C22semidirect
89. C43×#396C22semidirect
90. C43×#396C22semidirect
91. C43×#395C22semidirect
100. C43×#394C22semidirect
101. C43×#394C22semidirect
102. C43×#394C22semidirect
103. C43×#394C22semidirect
104. C43×#394C22semidirect
105. C43×#394C22semidirect
106. C43×#394C22semidirect
107. C43×#394C22semidirect
108. C43×#394C22semidirect
109. C43×#394C22semidirect
110. C43×#394C22semidirect
111. C43×#393C22semidirect
112. C43×#393C22semidirect
113. C43×#393C22semidirect
122. C43×#392C22semidirect
123. C43×#392C22semidirect
124. C43×#392C22semidirect
125. C43×#391C22semidirect
126. C43×#391C22semidirect
132. C43×#390C22semidirect
133. C43×#390C22semidirect
134. C43×#390C22semidirect
135. C43×#390C22semidirect
136. C43×#389C22semidirect
137. C43×#389C22semidirect
138. C43×#389C22semidirect
139. C43×#388C22semidirect
140. C43×#388C22semidirect
141. C43×#388C22semidirect
142. C43×#388C22semidirect
143. C43×#388C22semidirect
144. C43×#388C22semidirect
145. C43×#388C22semidirect
146. C43×#388C22semidirect
147. C43×#388C22semidirect
148. C43×#388C22semidirect
149. C43×#388C22semidirect
150. C43×#388C22semidirect
151. C43×#388C22semidirect
152. C43×#388C22semidirect
153. C43×#387C22semidirect
154. C43×#387C22semidirect
163. C43×#386C22semidirect
164. C43×#386C22semidirect
165. C43×#386C22semidirect
166. C43×#386C22semidirect
167. C43×#386C22semidirect
168. C43×#386C22semidirect
169. C43×#386C22semidirect
170. C43×#386C22semidirect
171. C43×#385C22semidirect
172. C43×#385C22semidirect
173. C43×#385C22semidirect
174. C43×#385C22semidirect
175. C43×#385C22semidirect
176. C43×#385C22semidirect
177. C43×#381C22semidirect
178. C43×#381C22semidirect
179. C43×#381C22semidirect
180. C43×#381C22semidirect
181. C43×#380C22semidirect
182. C43×#380C22semidirect
183. C43×#380C22semidirect
184. C43×#380C22semidirect
185. C43×#379C22semidirect
186. C43×#379C22semidirect
187. C4×C4⋊C4×C43C22semidirect
188. C43×#376C22semidirect
269. C4×D4×C43D4semidirect
805. #36724C43direct (N × H)
894. C2×#538C2×C43semidirect
895. C2×#525C2×C43semidirect
896. #2849C2×C43semidirect
897. #2847C2×C43semidirect
898. #2705C2×C43semidirect
899. #2702C2×C43semidirect
900. #2700C2×C43semidirect
901. #2699C2×C43semidirect
902. #2687C2×C43semidirect
903. #2682C2×C43semidirect
904. #2681C2×C43semidirect
905. #2681C2×C43semidirect
906. #2679C2×C43semidirect
907. #2678C2×C43semidirect
908. #2678C2×C43semidirect
909. #2678C2×C43semidirect
910. #2672C2×C43semidirect
911. #2670C2×C43semidirect
912. #2669C2×C43semidirect
913. #2669C2×C43semidirect
914. #2635C2×C43semidirect
915. #2630C2×C43semidirect
916. #2610C2×C43semidirect
917. #2603C2×C43semidirect
918. #2601C2×C43semidirect
919. #2600C2×C43semidirect
920. #2544C2×C43semidirect
921. #2534C2×C43semidirect
922. #2407C2×C43semidirect
923. #2404C2×C43semidirect
924. #2319C2×C43semidirect
941. C24×C4C22×C43semidirect
944. C2×#126C22×C43semidirect
945. C2×#126C22×C43semidirect
947. C2×#124C22×C43semidirect
948. C2×#124C22×C43semidirect
954. C2×#123C22×C43semidirect
955. C2×#123C22×C43semidirect
956. C2×C22⋊Q8C22×C43semidirect
957. C2×C22⋊Q8C22×C43semidirect
958. C2×C22⋊Q8C22×C43semidirect
959. C2×C22⋊Q8C22×C43semidirect
967. C2×#121C22×C43semidirect
974. C2×#120C22×C43semidirect
975. C2×#120C22×C43semidirect
976. C2×#120C22×C43semidirect
977. C2×#120C22×C43semidirect
980. C2×C4×D4C22×C43semidirect
981. C2×C4×D4C22×C43semidirect
982. C2×C4×D4C22×C43semidirect
983. C2×#117C22×C43semidirect
984. C22×C22⋊C4C22×C43semidirect
985. #400C22×C43semidirect
986. #399C22×C43semidirect
987. #398C22×C43semidirect
988. #398C22×C43semidirect
989. #398C22×C43semidirect
990. #397C22×C43semidirect
991. #397C22×C43semidirect
992. #397C22×C43semidirect
993. #396C22×C43semidirect
994. #396C22×C43semidirect
995. #396C22×C43semidirect
996. #396C22×C43semidirect
997. #396C22×C43semidirect
998. #396C22×C43semidirect
999. #395C22×C43semidirect
1008. #394C22×C43semidirect
1009. #394C22×C43semidirect
1010. #394C22×C43semidirect
1011. #394C22×C43semidirect
1012. #394C22×C43semidirect
1013. #394C22×C43semidirect
1014. #394C22×C43semidirect
1015. #394C22×C43semidirect
1016. #394C22×C43semidirect
1017. #394C22×C43semidirect
1018. #394C22×C43semidirect
1019. #393C22×C43semidirect
1020. #393C22×C43semidirect
1021. #393C22×C43semidirect
1030. #392C22×C43semidirect
1031. #392C22×C43semidirect
1032. #392C22×C43semidirect
1033. #391C22×C43semidirect
1034. #391C22×C43semidirect
1040. #390C22×C43semidirect
1041. #390C22×C43semidirect
1042. #390C22×C43semidirect
1043. #390C22×C43semidirect
1044. #389C22×C43semidirect
1045. #389C22×C43semidirect
1046. #389C22×C43semidirect
1047. #388C22×C43semidirect
1048. #388C22×C43semidirect
1049. #388C22×C43semidirect
1050. #388C22×C43semidirect
1051. #388C22×C43semidirect
1052. #388C22×C43semidirect
1053. #388C22×C43semidirect
1054. #388C22×C43semidirect
1055. #388C22×C43semidirect
1056. #388C22×C43semidirect
1057. #388C22×C43semidirect
1058. #388C22×C43semidirect
1059. #388C22×C43semidirect
1060. #388C22×C43semidirect
1061. #387C22×C43semidirect
1062. #387C22×C43semidirect
1071. #386C22×C43semidirect
1072. #386C22×C43semidirect
1073. #386C22×C43semidirect
1074. #386C22×C43semidirect
1075. #386C22×C43semidirect
1076. #386C22×C43semidirect
1077. #386C22×C43semidirect
1078. #386C22×C43semidirect
1079. #385C22×C43semidirect
1080. #385C22×C43semidirect
1081. #385C22×C43semidirect
1082. #385C22×C43semidirect
1083. #385C22×C43semidirect
1084. #385C22×C43semidirect
1085. #381C22×C43semidirect
1086. #381C22×C43semidirect
1087. #381C22×C43semidirect
1088. #381C22×C43semidirect
1089. #380C22×C43semidirect
1090. #380C22×C43semidirect
1091. #380C22×C43semidirect
1092. #380C22×C43semidirect
1093. #379C22×C43semidirect
1094. #379C22×C43semidirect
1095. C4×C4⋊C4C22×C43semidirect
1096. #376C22×C43semidirect
1097. C43#36724direct (N × H)
1178. C4×D4D4×C43semidirect

Maximal subgroups

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

subgroupindex
C2×C43×#5382
C2×C43×#5252
C43×#28492
C43×#28472
C43×#27052
C43×#27022
C43×#27002
C43×#26992
C43×#26872
C43×#26822
C43×#26812
C43×#26792
C43×#26782
C43×#26722
C43×#26702
C43×#26692
C43×#26352
C43×#26302
C43×#26102
C43×#26032
C43×#26012
C43×#26002
C43×#25442
C43×#25342
C43×#24072
C43×#24042
C43×#23192
#3672443