Finite Group Databasebeta

← C43×#62063 #24982080

Subgroups — C43×#62063 #24982080

Order 11008.

1856 conjugacy classes of subgroups.

The subgroup lattice has 1774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C43×#3561C211yesmaximal, characteristic, complemented
2C43×#3513C211yesmaximal, characteristic, complemented
3C43×#3401C211yesmaximal, characteristic, complemented
4C43×#3394C211yesmaximal, characteristic, complemented
5C43×#3376C211yesmaximal, characteristic, complemented
6C43×#3360C211yesmaximal, characteristic, complemented
7C43×#3326C211yesmaximal, characteristic, complemented
8C43×#3312C211yesmaximal, characteristic, complemented
9C43×#3306C211yesmaximal, characteristic, complemented
10C43×#3301C211yesmaximal, characteristic, complemented
11C43×#3298C211yesmaximal, characteristic, complemented
12C43×#3296C211yesmaximal, characteristic, complemented
13C43×#3282C211yesmaximal, characteristic, complemented
14D4×SD16×C43C211yesmaximal, characteristic, complemented
15C43×#3280C211yesmaximal, characteristic, complemented
16C43×#3275C211yesmaximal, characteristic, complemented
17C43×#3266C211yesmaximal, characteristic, complemented
18C43×#3264C211yesmaximal, characteristic, complemented
19C43×#3263C211yesmaximal, characteristic, complemented
20C43×#3257C211yesmaximal, characteristic, complemented
21C43×#3248C211yesmaximal, characteristic, complemented
22C43×#3225C211yesmaximal, characteristic, complemented
23C43×#3221C211yesmaximal, characteristic, complemented
24C43×#3211C211yesmaximal, characteristic, complemented
25C43×#3125C211yesmaximal, characteristic, complemented
26C43×#3118C211yesmaximal, characteristic, complemented
27C43×#3101C211yesmaximal, characteristic, complemented
28C43×#3046C211yesmaximal, characteristic, complemented
29C43×#3042C211yesmaximal, characteristic, complemented
30C2×C43×#463C211yesmaximal, characteristic, complemented
31C43×#2994C211yesmaximal, characteristic, complemented
32C2×#137×C43C2211yescharacteristic, complemented
33C2×AGL(1,ℤ/8)×C43C2211yescharacteristic
34C2×#135×C43C2211yescharacteristic
35C22×SD16×C43C2211yescharacteristic
36C22×SD16×C43C2211yescharacteristic, complemented
37C22×D8×C43C2211yescharacteristic
38C43×#563—21no—
39C43×#562—21no—
40C43×#559C2211yescharacteristic, complemented
41C43×#556C2211yescharacteristic, complemented
42C43×#556C2211yescharacteristic, complemented
43C43×#554C2211yescharacteristic, complemented
44C43×#553—21no—
45C43×#553C2211yescharacteristic, complemented
46C43×#552C2211yescharacteristic
47C43×#551—21no—
48C43×#551—21no—
49C43×#551—21no—
50C43×#551—21no—
51D4×Q8×C43C2211yescharacteristic
52D4×Q8×C43C2211yescharacteristic, complemented
53C43×#548C2211yescharacteristic, complemented
54C43×#548C2211yescharacteristic, complemented
55C43×#547C2211yescharacteristic
56C43×#546—21no—
57C43×#546C2211yescharacteristic
58C43×#546C2211yescharacteristic
59C43×#546C2211yescharacteristic, complemented
60C43×#546C2211yescharacteristic, complemented
61D42×C43C2211yescharacteristic
62C43×#543—21no—
63C43×#542—21no—
64C43×#542—21no—
65C43×#542C2211yescharacteristic, complemented
66C43×#542C2211yescharacteristic, complemented
67C43×#542C2211yescharacteristic, complemented
68C43×#540C2211yescharacteristic, complemented
69C43×#539—21no—
70C43×#538—21no—
71C43×#538—21no—
72C43×#536C2211yescharacteristic, complemented
73C43×#536C2211yescharacteristic, complemented
74C43×#533C2211yescharacteristic, complemented
75C43×#529C2211yescharacteristic
76C43×#529C2211yescharacteristic
77C2×#124×C43C2211yescharacteristic, complemented
78C43×#525—21no—
79C2×#123×C43—21no—
80C43×#520C2211yescharacteristic, complemented
81C43×#518C2211yescharacteristic, complemented
82C2×C4×D4×C43C2211yescharacteristic
83C43×#497C2211yescharacteristic, complemented
84C43×#496C2211yescharacteristic
85C43×#495C2211yescharacteristic, complemented
86C43×#495C2211yescharacteristic, complemented
87C43×#495C2211yescharacteristic, complemented
88C43×#492C2211yescharacteristic, complemented
89C43×#491C2211yescharacteristic, complemented
90C43×#489C2211yescharacteristic, complemented
91C43×#488C2211yescharacteristic, complemented
92C43×#488C2211yescharacteristic, complemented
93C43×#488C2211yescharacteristic, complemented
94C43×#487C2211yescharacteristic, complemented
95C43×#485C2211yescharacteristic, complemented
96C43×#483C2211yescharacteristic, complemented
97C43×#483C2211yescharacteristic, complemented
98C43×#483C2211yescharacteristic, complemented
99C43×#482C2211yescharacteristic, complemented
100C43×#481C2211yescharacteristic, complemented
101C43×#479C2211yescharacteristic, complemented
102C43×#479C2211yescharacteristic, complemented
103C43×#479C2211yescharacteristic, complemented
104C43×#478C2211yescharacteristic, complemented
105C43×#476C2211yescharacteristic, complemented
106C43×#476C2211yescharacteristic, complemented
107C43×#476C2211yescharacteristic, complemented
108C43×#475C2211yescharacteristic, complemented
109C43×#475C2211yescharacteristic, complemented
110C43×#474C2211yescharacteristic, complemented
111C43×#470C2211yescharacteristic, complemented
112C43×#469C2211yescharacteristic
113C43×#469C2211yescharacteristic, complemented
114C43×#468C2211yescharacteristic, complemented
115C43×#467C2211yescharacteristic, complemented
116C43×#467C2211yescharacteristic, complemented
117C43×#466C2211yescharacteristic, complemented
118C43×#465C2211yescharacteristic
119C43×#465C2211yescharacteristic
120C43×#465C2211yescharacteristic, complemented
121C43×#465C2211yescharacteristic, complemented
122C43×#465C2211yescharacteristic, complemented
123C43×#464C2211yescharacteristic, complemented
124C43×#464C2211yescharacteristic, complemented
125C43×#464C2211yescharacteristic, complemented
126C43×#464C2211yescharacteristic, complemented
127C43×#464C2211yescharacteristic, complemented
128C43×#464C2211yescharacteristic, complemented
129C43×#463C2211yescharacteristic
130C43×#463C2211yescharacteristic
131C43×#463C2211yescharacteristic
132C43×#463C2211yescharacteristic
133C43×#463C2211yescharacteristic
134C43×#463C2211yescharacteristic
135C43×#463C2211yescharacteristic, complemented
136C43×#463C2211yescharacteristic, complemented
137C43×#463C2211yescharacteristic, complemented
138C43×#463C2211yescharacteristic, complemented
139C43×#463C2211yescharacteristic, complemented
140C43×#463C2211yescharacteristic, complemented
141C43×#463C2211yescharacteristic, complemented
142C43×#463C2211yescharacteristic, complemented
143C43×#462C2211yescharacteristic, complemented
144C43×#462C2211yescharacteristic, complemented
145C43×#461C2211yescharacteristic, complemented
146C43×#461C2211yescharacteristic, complemented
147C43×#461C2211yescharacteristic, complemented
148C43×#461C2211yescharacteristic, complemented
149C43×#461C2211yescharacteristic, complemented
150C43×#461C2211yescharacteristic, complemented
151C43×#460C2211yescharacteristic, complemented
152C43×#459C2211yescharacteristic
153C43×#452C2211yescharacteristic, complemented
154C43×#452C2211yescharacteristic, complemented
155C43×#451C2211yescharacteristic, complemented
156C43×#451C2211yescharacteristic, complemented
157C43×#450C2211yescharacteristic
158C43×#450C2211yescharacteristic
159C43×#450C2211yescharacteristic, complemented
160C43×#450C2211yescharacteristic, complemented
161C43×#449C2211yescharacteristic
162C43×#449C2211yescharacteristic
163C43×#449C2211yescharacteristic, complemented
164C43×#449C2211yescharacteristic, complemented
165C43×#448C2211yescharacteristic
166C43×#448C2211yescharacteristic, complemented
167C43×#448C2211yescharacteristic, complemented
168C43×#448C2211yescharacteristic, complemented
169C43×#447C2211yescharacteristic
170C43×#447C2211yescharacteristic
171C43×#446C2211yescharacteristic, complemented
172C8×Q8×C43C2211yescharacteristic, complemented
173C43×#442C2211yescharacteristic
174C43×#442C2211yescharacteristic, complemented
175C43×#441C2211yescharacteristic, complemented
176C43×#440C2211yescharacteristic, complemented
177C4×SD16×C43C2211yescharacteristic, complemented
178C4×SD16×C43C2211yescharacteristic, complemented
179C4×SD16×C43C2211yescharacteristic, complemented
180C4×SD16×C43C2211yescharacteristic, complemented
181C4×SD16×C43C2211yescharacteristic, complemented
182C4×SD16×C43C2211yescharacteristic, complemented
183C4×SD16×C43C2211yescharacteristic, complemented
184C4×D8×C43C2211yescharacteristic
185C43×#436C2211yescharacteristic, complemented
186C43×#435C2211yescharacteristic
187C43×#435C2211yescharacteristic, complemented
188C8×D4×C43C2211yescharacteristic
189C8×D4×C43C2211yescharacteristic, complemented
190C8×D4×C43C2211yescharacteristic, complemented
191C43×#433C2211yescharacteristic, complemented
192C43×#433C2211yescharacteristic, complemented
193C43×#431C2211yescharacteristic, complemented
194C43×#424C2211yescharacteristic, complemented
195C43×#424C2211yescharacteristic, complemented
196C2×C4⋊C8×C43C2211yescharacteristic, complemented
197C43×#419C2211yescharacteristic, complemented
198C43×#417C2211yescharacteristic, complemented
199C43×#416C2211yescharacteristic, complemented
200C2×#103×C43C2211yescharacteristic, complemented
201C2×#103×C43C2211yescharacteristic, complemented
202C2×#102×C43C2211yescharacteristic, complemented
203C2×#41×C43—21no—
204C2×#41×C43C2311yescharacteristic
205C2×#41×C43C2311yescharacteristic
206C2×#41×C43C2311yescharacteristic
207C22×Q8×C43C2311yescharacteristic
208C22×Q8×C43C2311yescharacteristic
209C22×Q8×C43C2311yescharacteristic
210C22×D4×C43—21no—
211C22×D4×C43C2311yescharacteristic
212C22×D4×C43C2311yescharacteristic
213C22×D4×C43C2311yescharacteristic
214C23×C4×C43—21no—
215#137×C43—42no—
216AGL(1,ℤ/8)×C43—42no—
217#135×C43—42no—
218C2×Q16×C43C2311yescharacteristic
219C2×Q16×C43C2311yescharacteristic
220C2×Q16×C43C2311yescharacteristic
221C2×Q16×C43C2311yescharacteristic
222C2×SD16×C43—42no—
223C2×SD16×C43—42no—
224C2×SD16×C43C2311yescharacteristic
225C2×SD16×C43C2311yescharacteristic
226C2×SD16×C43C2311yescharacteristic
227C2×SD16×C43C2311yescharacteristic
228C2×SD16×C43C2311yescharacteristic
229C2×SD16×C43C2311yescharacteristic
230C2×SD16×C43C2311yescharacteristic
231C2×SD16×C43C2311yescharacteristic
232C2×SD16×C43C2311yescharacteristic
233C2×SD16×C43C2311yescharacteristic
234C2×SD16×C43C2311yescharacteristic
235C2×SD16×C43C2311yescharacteristic
236C2×SD16×C43C2311yescharacteristic
237C2×SD16×C43C2311yescharacteristic
238C2×D8×C43—42no—
239C2×D8×C43C2311yescharacteristic
240C2×D8×C43C2311yescharacteristic
241C2×D8×C43C2311yescharacteristic
242C2×D8×C43C2311yescharacteristic
243C2×D8×C43C2311yescharacteristic
244C2×D8×C43C2311yescharacteristic
245C2×M16×C43C2311yescharacteristic
246C2×M16×C43C2311yescharacteristic
247C22×C8×C43C2311yescharacteristic
248C22×C8×C43C2311yescharacteristic
249C22×C8×C43C2311yescharacteristic
250C22×C8×C43C2311yescharacteristic
251C4⋊Q8×C43—21no—
252C4⋊Q8×C43—21no—
253C4⋊Q8×C43C2311yescharacteristic
254C4⋊Q8×C43C2311yescharacteristic
255C4⋊Q8×C43C2311yescharacteristic
256C4⋊Q8×C43C2311yescharacteristic
257C4⋊Q8×C43C2311yescharacteristic
258#127×C43C2311yescharacteristic
259#126×C43—21no—
260#126×C43—21no—
261#126×C43—21no—
262#126×C43—21no—
263#126×C43—21no—
264#126×C43—21no—
265#126×C43—21no—
266#126×C43—21no—
267#126×C43—21no—
268#126×C43—21no—
269#126×C43D411yescharacteristic
270#126×C43D411yescharacteristic
271#125×C43—21no—
272#125×C43—21no—
273#125×C43D411yescharacteristic
274#125×C43C2311yescharacteristic
275#125×C43C2311yescharacteristic
276#124×C43—21no—
277#124×C43—21no—
278#124×C43—21no—
279#124×C43—21no—
280#124×C43—21no—
281#124×C43—21no—
282#124×C43—21no—
283#124×C43—21no—
284#124×C43D411yescharacteristic
285#124×C43C2311yescharacteristic
286#124×C43C2311yescharacteristic
287#124×C43C2311yescharacteristic
288#124×C43C2311yescharacteristic
289#124×C43C2311yescharacteristic
290#124×C43C2311yescharacteristic
291#124×C43C2311yescharacteristic
292#124×C43C2311yescharacteristic
293#123×C43—21no—
294#123×C43—21no—
295#123×C43—21no—
296#123×C43—21no—
297#123×C43—21no—
298#123×C43—21no—
299#123×C43—21no—
300#123×C43—21no—
301#123×C43—21no—
302#123×C43—21no—
303#123×C43—21no—
304#123×C43—21no—
305#123×C43—21no—
306#123×C43—21no—
307#123×C43—21no—
308#123×C43—21no—
309#123×C43—21no—
310#123×C43—21no—
311#123×C43—21no—
312#123×C43—21no—
313#123×C43D411yescharacteristic
314#123×C43D411yescharacteristic
315C22⋊Q8×C43—21no—
316C22⋊Q8×C43—21no—
317C22⋊Q8×C43—21no—
318C22⋊Q8×C43—21no—
319C22⋊Q8×C43—21no—
320C22⋊Q8×C43—21no—
321C22⋊Q8×C43—21no—
322C22⋊Q8×C43—21no—
323C22⋊Q8×C43—21no—
324C22⋊Q8×C43—21no—
325C22⋊Q8×C43—21no—
326C22⋊Q8×C43—21no—
327C22⋊Q8×C43—21no—
328C22⋊Q8×C43—21no—
329C22⋊Q8×C43—21no—
330C22⋊Q8×C43—21no—
331C22⋊Q8×C43—21no—
332C22⋊Q8×C43—21no—
333C22⋊Q8×C43—21no—
334C22⋊Q8×C43—21no—
335C22⋊Q8×C43D411yescharacteristic
336C22⋊Q8×C43C2311yescharacteristic
337C22⋊Q8×C43C2311yescharacteristic
338C22⋊Q8×C43C2311yescharacteristic
339C22⋊Q8×C43C2311yescharacteristic
340C22⋊Q8×C43C2311yescharacteristic
341C22⋊Q8×C43C2311yescharacteristic
342#121×C43—21no—
343#121×C43—21no—
344#121×C43—21no—
345#121×C43—21no—
346#121×C43—21no—
347#121×C43—21no—
348#121×C43—21no—
349#121×C43—21no—
350#121×C43—21no—
351#121×C43—21no—
352#121×C43D411yescharacteristic
353#121×C43C2311yescharacteristic
354#121×C43C2311yescharacteristic
355#121×C43C2311yescharacteristic
356#121×C43C2311yescharacteristic
357#121×C43C2311yescharacteristic
358#121×C43C2311yescharacteristic
359#120×C43—21no—
360#120×C43—21no—
361#120×C43—21no—
362#120×C43—21no—
363#120×C43—21no—
364#120×C43—21no—
365C4×Q8×C43—21no—
366C4×Q8×C43C2311yescharacteristic
367C4×Q8×C43C2311yescharacteristic
368C4×Q8×C43C2311yescharacteristic
369C4×Q8×C43C2311yescharacteristic
370C4×Q8×C43C2311yescharacteristic
371C4×Q8×C43C2311yescharacteristic
372C4×Q8×C43C2311yescharacteristic
373C4×D4×C43—21no—
374C4×D4×C43—21no—
375C4×D4×C43—21no—
376C4×D4×C43—21no—
377C4×D4×C43—21no—
378C4×D4×C43—21no—
379C4×D4×C43—21no—
380C4×D4×C43—21no—
381C4×D4×C43—21no—
382C4×D4×C43—21no—
383C4×D4×C43—21no—
384C4×D4×C43—21no—
385C4×D4×C43—21no—
386C4×D4×C43C2311yescharacteristic
387C4×D4×C43C2311yescharacteristic
388C4×D4×C43C2311yescharacteristic
389C4×D4×C43C2311yescharacteristic
390C4×D4×C43C2311yescharacteristic
391C4×D4×C43C2311yescharacteristic
392C4×D4×C43C2311yescharacteristic
393C4×D4×C43C2311yescharacteristic
394C4×D4×C43C2311yescharacteristic
395C4×D4×C43C2311yescharacteristic
396C4×D4×C43C2311yescharacteristic
397C4×D4×C43C2311yescharacteristic
398C4×D4×C43C2311yescharacteristic
399#117×C43—21no—
400#117×C43—21no—
401#117×C43—21no—
402#117×C43—21no—
403#117×C43—21no—
404#117×C43—21no—
405#117×C43C2311yescharacteristic
406#117×C43C2311yescharacteristic
407#117×C43C2311yescharacteristic
408C2×C4⋊C4×C43—21no—
409C2×C4⋊C4×C43—21no—
410C2×C4⋊C4×C43C2311yescharacteristic
411C2×C4⋊C4×C43C2311yescharacteristic
412C2×C22⋊C4×C43—21no—
413C2×C22⋊C4×C43—21no—
414C2×C22⋊C4×C43—21no—
415C2×C22⋊C4×C43—21no—
416C2×C22⋊C4×C43—21no—
417C2×C22⋊C4×C43—21no—
418C2×C22⋊C4×C43—21no—
419C2×C22⋊C4×C43—21no—
420C2×C22⋊C4×C43—21no—
421C2×C42×C43C2311yescharacteristic
422#107×C43C2311yescharacteristic
423#107×C43C2311yescharacteristic
424#106×C43C2311yescharacteristic
425#106×C43C2311yescharacteristic
426#106×C43C2311yescharacteristic
427#106×C43C2311yescharacteristic
428#106×C43C2311yescharacteristic
429#106×C43C2311yescharacteristic
430C4⋊C8×C43C2311yescharacteristic
431C4⋊C8×C43C2311yescharacteristic
432C4⋊C8×C43C2311yescharacteristic
433C4⋊C8×C43C2311yescharacteristic
434C4⋊C8×C43C2311yescharacteristic
435C4⋊C8×C43C2311yescharacteristic
436C4⋊C8×C43C2311yescharacteristic
437C4⋊C8×C43C2311yescharacteristic
438C4⋊C8×C43C2311yescharacteristic
439C4⋊C8×C43C2311yescharacteristic
440#103×C43C2311yescharacteristic
441#103×C43C2311yescharacteristic
442#103×C43C2311yescharacteristic
443#103×C43C2311yescharacteristic
444#103×C43C2311yescharacteristic
445#103×C43C2311yescharacteristic
446#103×C43C2311yescharacteristic
447#103×C43C2311yescharacteristic
448#103×C43C2311yescharacteristic
449#103×C43C2311yescharacteristic
450#103×C43C2311yescharacteristic
451#103×C43C2311yescharacteristic
452#103×C43C2311yescharacteristic
453#103×C43C2311yescharacteristic
454#103×C43C2311yescharacteristic
455#103×C43C2311yescharacteristic
456#103×C43C2311yescharacteristic
457#103×C43C2311yescharacteristic
458#102×C43C2311yescharacteristic
459#102×C43C2311yescharacteristic
460#102×C43C2311yescharacteristic
461#102×C43C2311yescharacteristic
462#102×C43C2311yescharacteristic
463#102×C43C2311yescharacteristic
464#102×C43C2311yescharacteristic
465#102×C43C2311yescharacteristic
466#102×C43C2311yescharacteristic
467#102×C43C2311yescharacteristic
468#102×C43C2311yescharacteristic
469#102×C43C2311yescharacteristic
470#102×C43C2311yescharacteristic
471#102×C43C2311yescharacteristic
472C22⋊C8×C43C2311yescharacteristic
473C22⋊C8×C43C2311yescharacteristic
474C22⋊C8×C43C2311yescharacteristic
475C22⋊C8×C43C2311yescharacteristic
476C22⋊C8×C43C2311yescharacteristic
477C22⋊C8×C43C2311yescharacteristic
478#97×C43C2311yescharacteristic
479#97×C43C2311yescharacteristic
480C4×C8×C43C2311yescharacteristic
481C4×C8×C43C2311yescharacteristic
482C4×C8×C43C2311yescharacteristic
483C4×C8×C43C2311yescharacteristic
484C24×C43—21no—
485C24×C43—21no—
486C24×C43—21no—
487#41×C43—22no—
488#41×C43—41no—
489#41×C43—41no—
490#41×C43—41no—
491#41×C43—41no—
492#41×C43—41no—
493#41×C43—82no—
494C2×Q8×C43—21no—
495C2×Q8×C43—21no—
496C2×Q8×C43—21no—
497C2×Q8×C43—21no—
498C2×Q8×C43—21no—
499C2×Q8×C43—41no—
500C2×Q8×C43—41no—
501C2×Q8×C43—41no—
502C2×Q8×C43—41no—
503C2×Q8×C43—41no—
504C2×Q8×C43—41no—
505C2×Q8×C43C2×D411yescharacteristic
506C2×Q8×C43C2411yescharacteristic
507C2×Q8×C43C2411yescharacteristic
508C2×Q8×C43C2411yescharacteristic
509C2×Q8×C43C2411yescharacteristic
510C2×Q8×C43C2411yescharacteristic
511C2×D4×C43—21no—
512C2×D4×C43—21no—
513C2×D4×C43—21no—
514C2×D4×C43—21no—
515C2×D4×C43—21no—
516C2×D4×C43—21no—
517C2×D4×C43—21no—
518C2×D4×C43—21no—
519C2×D4×C43—21no—
520C2×D4×C43—21no—
521C2×D4×C43—21no—
522C2×D4×C43—21no—
523C2×D4×C43—21no—
524C2×D4×C43—21no—
525C2×D4×C43—22no—
526C2×D4×C43—22no—
527C2×D4×C43—41no—
528C2×D4×C43—41no—
529C2×D4×C43—41no—
530C2×D4×C43—41no—
531C2×D4×C43—82no—
532C2×D4×C43C2×D411yescharacteristic
533C2×D4×C43C2×D411yescharacteristic
534C2×D4×C43C2×D411yescharacteristic
535C2×D4×C43C2411yescharacteristic
536C2×D4×C43C2411yescharacteristic
537C2×D4×C43C2411yescharacteristic
538C2×D4×C43C2411yescharacteristic
539C2×D4×C43C2411yescharacteristic
540C22×C4×C43—21no—
541C22×C4×C43—21no—
542C22×C4×C43—21no—
543C22×C4×C43—21no—
544C22×C4×C43—21no—
545C22×C4×C43—21no—
546C22×C4×C43—21no—
547C22×C4×C43—21no—
548C22×C4×C43—21no—
549C22×C4×C43—21no—
550C22×C4×C43—21no—
551C22×C4×C43—21no—
552C22×C4×C43—21no—
553C22×C4×C43—21no—
554C22×C4×C43—21no—
555C22×C4×C43—21no—
556C22×C4×C43—21no—
557C22×C4×C43—21no—
558C22×C4×C43—82no—
559C22×C4×C43C2×D411yescharacteristic
560C22×C4×C43C2×D411yescharacteristic
561C22×C4×C43C2411yescharacteristic
562C22×C4×C43C2411yescharacteristic
563C22×C4×C43C2411yescharacteristic
564Q16×C43—41no—
565Q16×C43—41no—
566Q16×C43—41no—
567Q16×C43—41no—
568SD16×C43—22no—
569SD16×C43—22no—
570SD16×C43—22no—
571SD16×C43—22no—
572SD16×C43—41no—
573SD16×C43—41no—
574SD16×C43—41no—
575SD16×C43—41no—
576SD16×C43—41no—
577SD16×C43—41no—
578SD16×C43—41no—
579SD16×C43—41no—
580SD16×C43—41no—
581SD16×C43—41no—
582D8×C43—22no—
583D8×C43—22no—
584D8×C43—41no—
585D8×C43—41no—
586D8×C43—41no—
587D8×C43—41no—
588M16×C43—41no—
589M16×C43—41no—
590C2×C8×C43—41no—
591C2×C8×C43—41no—
592C2×C8×C43—41no—
593C2×C8×C43—41no—
594C2×C8×C43C2411yescharacteristic
595C2×C8×C43C2411yescharacteristic
596C2×C8×C43C2411yescharacteristic
597C2×C8×C43C2411yescharacteristic
598C2×C8×C43C2411yescharacteristic
599C2×C8×C43C2411yescharacteristic
600C2×C8×C43C2411yescharacteristic
601C2×C8×C43C2411yescharacteristic
602C4⋊C4×C43—21no—
603C4⋊C4×C43—21no—
604C4⋊C4×C43—21no—
605C4⋊C4×C43—21no—
606C4⋊C4×C43—21no—
607C4⋊C4×C43—21no—
608C4⋊C4×C43—21no—
609C4⋊C4×C43—21no—
610C4⋊C4×C43—21no—
611C4⋊C4×C43—21no—
612C4⋊C4×C43—21no—
613C4⋊C4×C43—21no—
614C4⋊C4×C43—21no—
615C4⋊C4×C43—21no—
616C4⋊C4×C43—21no—
617C4⋊C4×C43—21no—
618C4⋊C4×C43—21no—
619C4⋊C4×C43—21no—
620C4⋊C4×C43—21no—
621C4⋊C4×C43—21no—
622C4⋊C4×C43—21no—
623C4⋊C4×C43—21no—
624C4⋊C4×C43—21no—
625C4⋊C4×C43—21no—
626C4⋊C4×C43—21no—
627C4⋊C4×C43—21no—
628C4⋊C4×C43C2×D411yescharacteristic
629C4⋊C4×C43C2×D411yescharacteristic
630C4⋊C4×C43C2×D411yescharacteristic
631C4⋊C4×C43C2×D411yescharacteristic
632C4⋊C4×C43C2×D411yescharacteristic
633C4⋊C4×C43C2×D411yescharacteristic
634C4⋊C4×C43C2×D411yescharacteristic
635C4⋊C4×C43C2×D411yescharacteristic
636C4⋊C4×C43C2×D411yescharacteristic
637C4⋊C4×C43C2×D411yescharacteristic
638C4⋊C4×C43C2411yescharacteristic
639C4⋊C4×C43C2411yescharacteristic
640C4⋊C4×C43C2411yescharacteristic
641C4⋊C4×C43C2411yescharacteristic
642C4⋊C4×C43C2411yescharacteristic
643C4⋊C4×C43C2411yescharacteristic
644C22⋊C4×C43—21no—
645C22⋊C4×C43—21no—
646C22⋊C4×C43—21no—
647C22⋊C4×C43—21no—
648C22⋊C4×C43—21no—
649C22⋊C4×C43—21no—
650C22⋊C4×C43—21no—
651C22⋊C4×C43—21no—
652C22⋊C4×C43—21no—
653C22⋊C4×C43—21no—
654C22⋊C4×C43—21no—
655C22⋊C4×C43—21no—
656C22⋊C4×C43—21no—
657C22⋊C4×C43—21no—
658C22⋊C4×C43—21no—
659C22⋊C4×C43—21no—
660C22⋊C4×C43—21no—
661C22⋊C4×C43—21no—
662C22⋊C4×C43—21no—
663C22⋊C4×C43—21no—
664C22⋊C4×C43—21no—
665C22⋊C4×C43—21no—
666C22⋊C4×C43—21no—
667C22⋊C4×C43—21no—
668C22⋊C4×C43—21no—
669C22⋊C4×C43—21no—
670C22⋊C4×C43—21no—
671C22⋊C4×C43—21no—
672C22⋊C4×C43—21no—
673C22⋊C4×C43—21no—
674C22⋊C4×C43—21no—
675C22⋊C4×C43—21no—
676C22⋊C4×C43—21no—
677C22⋊C4×C43—21no—
678C22⋊C4×C43—21no—
679C22⋊C4×C43—21no—
680C22⋊C4×C43—21no—
681C22⋊C4×C43—21no—
682C22⋊C4×C43—21no—
683C22⋊C4×C43C2×D411yescharacteristic
684C22⋊C4×C43C2×D411yescharacteristic
685C22⋊C4×C43C2×D411yescharacteristic
686C22⋊C4×C43C2×D411yescharacteristic
687C22⋊C4×C43C2×D411yescharacteristic
688C22⋊C4×C43C2×D411yescharacteristic
689C22⋊C4×C43C2×D411yescharacteristic
690C22⋊C4×C43C2×D411yescharacteristic
691C22⋊C4×C43C2×D411yescharacteristic
692C22⋊C4×C43C2×D411yescharacteristic
693C42×C43—21no—
694C42×C43—21no—
695C42×C43—21no—
696C42×C43—21no—
697C42×C43—21no—
698C42×C43—21no—
699C42×C43—21no—
700C42×C43C2×D411yescharacteristic
701C42×C43C2×D411yescharacteristic
702C42×C43C2411yescharacteristic
703C42×C43C2411yescharacteristic
704C42×C43C2411yescharacteristic
705C42×C43C2411yescharacteristic
706C23×C43—21no—
707C23×C43—21no—
708C23×C43—21no—
709C23×C43—21no—
710C23×C43—21no—
711C23×C43—42no—
712C23×C43—42no—
713C23×C43—42no—
714C23×C43—42no—
715C23×C43—81no—
716C23×C43—81no—
717C23×C43—81no—
718C23×C43—81no—
719C23×C43—81no—
720C23×C43C22×D411yescharacteristic
721C23×C43C22×D411yescharacteristic
722C23×C43C22×D411yescharacteristic
723Q8×C43—21no—
724Q8×C43—21no—
725Q8×C43—21no—
726Q8×C43—21no—
727Q8×C43—21no—
728Q8×C43—21no—
729Q8×C43—21no—
730Q8×C43—21no—
731Q8×C43—21no—
732Q8×C43—21no—
733Q8×C43—41no—
734Q8×C43—81no—
735Q8×C43—81no—
736Q8×C43—81no—
737Q8×C43—81no—
738Q8×C43—81no—
739D4×C43—22no—
740D4×C43—22no—
741D4×C43—21no—
742D4×C43—21no—
743D4×C43—21no—
744D4×C43—21no—
745D4×C43—21no—
746D4×C43—21no—
747D4×C43—21no—
748D4×C43—21no—
749D4×C43—21no—
750D4×C43—41no—
751D4×C43—42no—
752D4×C43—42no—
753D4×C43—42no—
754D4×C43—42no—
755D4×C43—81no—
756D4×C43—81no—
757D4×C43—81no—
758D4×C43—81no—
759D4×C43—81no—
760D4×C43—81no—
761D4×C43—81no—
762D4×C43—81no—
763D4×C43—81no—
764D4×C43—81no—
765D4×C43H(5,𝔽2)12yes—
766C2×C4×C43—22no—
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—41no—
785C2×C4×C43—42no—
786C2×C4×C43—42no—
787C2×C4×C43—81no—
788C2×C4×C43—81no—
789C2×C4×C43—81no—
790C2×C4×C43—81no—
791C2×C4×C43—81no—
792C2×C4×C43—81no—
793C2×C4×C43—81no—
794C2×C4×C43—81no—
795C2×C4×C43—81no—
796C2×C4×C43—81no—
797C2×C4×C43—81no—
798C2×C4×C43—81no—
799C2×C4×C43—81no—
800C2×C4×C43—81no—
801C2×C4×C43—81no—
802C2×C4×C43—81no—
803C2×C4×C43C22×D411yescharacteristic
804C2×C4×C43C22×D411yescharacteristic
805C2×C4×C43C22×D411yescharacteristic
806C2×C4×C43C22×D411yescharacteristic
807C2×C4×C43C22×D411yescharacteristic
808C2×C4×C43C22×D411yescharacteristic
809C2×C4×C43C22×D411yescharacteristic
810C2×C4×C43C22×D411yescharacteristic
811C2×C4×C43C22×D411yescharacteristic
812C2×C4×C43C22×D411yescharacteristic
813C2×C4×C43C22×D411yescharacteristic
814C2×C4×C43C2511yescharacteristic
815C8×C43—21no—
816C8×C43—21no—
817C8×C43—21no—
818C8×C43—21no—
819C8×C43—21no—
820C8×C43—21no—
821C8×C43—21no—
822C8×C43—21no—
823#62063C4311yesmaximal, characteristic, direct product factor, Sylow
824C22×C43—21no—
825C22×C43—21no—
826C22×C43—21no—
827C22×C43—21no—
828C22×C43—22no—
829C22×C43—21no—
830C22×C43—21no—
831C22×C43—21no—
832C22×C43—21no—
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—84no—
848C22×C43—162no—
849C22×C43—162no—
850C22×C43#57712yes—
851C22×C43C23×D411yescharacteristic
852C4×C43—21no—
853C4×C43—21no—
854C4×C43—21no—
855C4×C43—21no—
856C4×C43—21no—
857C4×C43—21no—
858C4×C43—21no—
859C4×C43—21no—
860C4×C43—21no—
861C4×C43—21no—
862C4×C43—21no—
863C4×C43—41no—
864C4×C43—41no—
865C4×C43—41no—
866C4×C43—41no—
867C4×C43—41no—
868C4×C43—41no—
869C4×C43—41no—
870C4×C43—41no—
871C4×C43—41no—
872C4×C43—41no—
873C4×C43—41no—
874C4×C43C2×H(5,𝔽2)11yescharacteristic
875C4×C43#58511yescharacteristic
876#3561C2×C4311yescharacteristic, complemented
877#3513C2×C4311yescharacteristic, complemented
878#3401C2×C4311yescharacteristic, complemented
879#3394C2×C4311yescharacteristic, complemented
880#3376C2×C4311yescharacteristic, complemented
881#3360C2×C4311yescharacteristic, complemented
882#3326C2×C4311yescharacteristic, complemented
883#3312C2×C4311yescharacteristic, complemented
884#3306C2×C4311yescharacteristic, complemented
885#3301C2×C4311yescharacteristic, complemented
886#3298C2×C4311yescharacteristic, complemented
887#3296C2×C4311yescharacteristic, complemented
888#3282C2×C4311yescharacteristic, complemented
889D4×SD16C2×C4311yescharacteristic, complemented
890#3280C2×C4311yescharacteristic, complemented
891#3275C2×C4311yescharacteristic, complemented
892#3266C2×C4311yescharacteristic, complemented
893#3264C2×C4311yescharacteristic, complemented
894#3263C2×C4311yescharacteristic, complemented
895#3257C2×C4311yescharacteristic, complemented
896#3248C2×C4311yescharacteristic, complemented
897#3225C2×C4311yescharacteristic, complemented
898#3221C2×C4311yescharacteristic, complemented
899#3211C2×C4311yescharacteristic, complemented
900#3125C2×C4311yescharacteristic, complemented
901#3118C2×C4311yescharacteristic, complemented
902#3101C2×C4311yescharacteristic, complemented
903#3046C2×C4311yescharacteristic, complemented
904#3042C2×C4311yescharacteristic, complemented
905C2×#463C2×C4311yescharacteristic, complemented
906#2994C2×C4311yescharacteristic, complemented
907C2×C43—22no—
908C2×C43—41no—
909C2×C43—41no—
910C2×C43—42no—
911C2×C43—81no—
912C2×C43—81no—
913C2×C43—81no—
914C2×C43—81no—
915C2×C43#348811yescharacteristic
916C2×C43C2×#57711yescharacteristic
917C2×C43#358411yescharacteristic
918C2×#137C22×C4311yescharacteristic, complemented
919C2×AGL(1,ℤ/8)C22×C4311yescharacteristic
920C2×#135C22×C4311yescharacteristic
921C22×SD16C22×C4311yescharacteristic
922C22×SD16C22×C4311yescharacteristic, complemented
923C22×D8C22×C4311yescharacteristic
924#563—21no—
925#562—21no—
926#559C22×C4311yescharacteristic, complemented
927#556C22×C4311yescharacteristic, complemented
928#556C22×C4311yescharacteristic, complemented
929#554C22×C4311yescharacteristic, complemented
930#553—21no—
931#553C22×C4311yescharacteristic, complemented
932#552C22×C4311yescharacteristic
933#551—21no—
934#551—21no—
935#551—21no—
936#551—21no—
937D4×Q8C22×C4311yescharacteristic
938D4×Q8C22×C4311yescharacteristic, complemented
939#548C22×C4311yescharacteristic, complemented
940#548C22×C4311yescharacteristic, complemented
941#547C22×C4311yescharacteristic
942#546—21no—
943#546C22×C4311yescharacteristic
944#546C22×C4311yescharacteristic
945#546C22×C4311yescharacteristic, complemented
946#546C22×C4311yescharacteristic, complemented
947D42C22×C4311yescharacteristic
948#543—21no—
949#542—21no—
950#542—21no—
951#542C22×C4311yescharacteristic, complemented
952#542C22×C4311yescharacteristic, complemented
953#542C22×C4311yescharacteristic, complemented
954#540C22×C4311yescharacteristic, complemented
955#539—21no—
956#538—21no—
957#538—21no—
958#536C22×C4311yescharacteristic, complemented
959#536C22×C4311yescharacteristic, complemented
960#533C22×C4311yescharacteristic, complemented
961#529C22×C4311yescharacteristic
962#529C22×C4311yescharacteristic
963C2×#124C22×C4311yescharacteristic, complemented
964#525—21no—
965C2×#123—21no—
966#520C22×C4311yescharacteristic, complemented
967#518C22×C4311yescharacteristic, complemented
968C2×C4×D4C22×C4311yescharacteristic
969#497C22×C4311yescharacteristic, complemented
970#496C22×C4311yescharacteristic
971#495C22×C4311yescharacteristic, complemented
972#495C22×C4311yescharacteristic, complemented
973#495C22×C4311yescharacteristic, complemented
974#492C22×C4311yescharacteristic, complemented
975#491C22×C4311yescharacteristic, complemented
976#489C22×C4311yescharacteristic, complemented
977#488C22×C4311yescharacteristic, complemented
978#488C22×C4311yescharacteristic, complemented
979#488C22×C4311yescharacteristic, complemented
980#487C22×C4311yescharacteristic, complemented
981#485C22×C4311yescharacteristic, complemented
982#483C22×C4311yescharacteristic, complemented
983#483C22×C4311yescharacteristic, complemented
984#483C22×C4311yescharacteristic, complemented
985#482C22×C4311yescharacteristic, complemented
986#481C22×C4311yescharacteristic, complemented
987#479C22×C4311yescharacteristic, complemented
988#479C22×C4311yescharacteristic, complemented
989#479C22×C4311yescharacteristic, complemented
990#478C22×C4311yescharacteristic, complemented
991#476C22×C4311yescharacteristic, complemented
992#476C22×C4311yescharacteristic, complemented
993#476C22×C4311yescharacteristic, complemented
994#475C22×C4311yescharacteristic, complemented
995#475C22×C4311yescharacteristic, complemented
996#474C22×C4311yescharacteristic, complemented
997#470C22×C4311yescharacteristic, complemented
998#469C22×C4311yescharacteristic
999#469C22×C4311yescharacteristic, complemented
1000#468C22×C4311yescharacteristic, complemented
1001#467C22×C4311yescharacteristic, complemented
1002#467C22×C4311yescharacteristic, complemented
1003#466C22×C4311yescharacteristic, complemented
1004#465C22×C4311yescharacteristic
1005#465C22×C4311yescharacteristic
1006#465C22×C4311yescharacteristic, complemented
1007#465C22×C4311yescharacteristic, complemented
1008#465C22×C4311yescharacteristic, complemented
1009#464C22×C4311yescharacteristic, complemented
1010#464C22×C4311yescharacteristic, complemented
1011#464C22×C4311yescharacteristic, complemented
1012#464C22×C4311yescharacteristic, complemented
1013#464C22×C4311yescharacteristic, complemented
1014#464C22×C4311yescharacteristic, complemented
1015#463C22×C4311yescharacteristic
1016#463C22×C4311yescharacteristic
1017#463C22×C4311yescharacteristic
1018#463C22×C4311yescharacteristic
1019#463C22×C4311yescharacteristic
1020#463C22×C4311yescharacteristic
1021#463C22×C4311yescharacteristic, complemented
1022#463C22×C4311yescharacteristic, complemented
1023#463C22×C4311yescharacteristic, complemented
1024#463C22×C4311yescharacteristic, complemented
1025#463C22×C4311yescharacteristic, complemented
1026#463C22×C4311yescharacteristic, complemented
1027#463C22×C4311yescharacteristic, complemented
1028#463C22×C4311yescharacteristic, complemented
1029#462C22×C4311yescharacteristic, complemented
1030#462C22×C4311yescharacteristic, complemented
1031#461C22×C4311yescharacteristic, complemented
1032#461C22×C4311yescharacteristic, complemented
1033#461C22×C4311yescharacteristic, complemented
1034#461C22×C4311yescharacteristic, complemented
1035#461C22×C4311yescharacteristic, complemented
1036#461C22×C4311yescharacteristic, complemented
1037#460C22×C4311yescharacteristic, complemented
1038#459C22×C4311yescharacteristic
1039#452C22×C4311yescharacteristic, complemented
1040#452C22×C4311yescharacteristic, complemented
1041#451C22×C4311yescharacteristic, complemented
1042#451C22×C4311yescharacteristic, complemented
1043#450C22×C4311yescharacteristic
1044#450C22×C4311yescharacteristic
1045#450C22×C4311yescharacteristic, complemented
1046#450C22×C4311yescharacteristic, complemented
1047#449C22×C4311yescharacteristic
1048#449C22×C4311yescharacteristic
1049#449C22×C4311yescharacteristic, complemented
1050#449C22×C4311yescharacteristic, complemented
1051#448C22×C4311yescharacteristic
1052#448C22×C4311yescharacteristic, complemented
1053#448C22×C4311yescharacteristic, complemented
1054#448C22×C4311yescharacteristic, complemented
1055#447C22×C4311yescharacteristic
1056#447C22×C4311yescharacteristic
1057#446C22×C4311yescharacteristic, complemented
1058C8×Q8C22×C4311yescharacteristic, complemented
1059#442C22×C4311yescharacteristic
1060#442C22×C4311yescharacteristic, complemented
1061#441C22×C4311yescharacteristic, complemented
1062#440C22×C4311yescharacteristic, complemented
1063C4×SD16C22×C4311yescharacteristic, complemented
1064C4×SD16C22×C4311yescharacteristic, complemented
1065C4×SD16C22×C4311yescharacteristic, complemented
1066C4×SD16C22×C4311yescharacteristic, complemented
1067C4×SD16C22×C4311yescharacteristic, complemented
1068C4×SD16C22×C4311yescharacteristic, complemented
1069C4×SD16C22×C4311yescharacteristic, complemented
1070C4×D8C22×C4311yescharacteristic
1071#436C22×C4311yescharacteristic, complemented
1072#435C22×C4311yescharacteristic
1073#435C22×C4311yescharacteristic, complemented
1074C8×D4C22×C4311yescharacteristic
1075C8×D4C22×C4311yescharacteristic, complemented
1076C8×D4C22×C4311yescharacteristic, complemented
1077#433C22×C4311yescharacteristic, complemented
1078#433C22×C4311yescharacteristic, complemented
1079#431C22×C4311yescharacteristic, complemented
1080#424C22×C4311yescharacteristic, complemented
1081#424C22×C4311yescharacteristic, complemented
1082C2×C4⋊C8C22×C4311yescharacteristic, complemented
1083#419C22×C4311yescharacteristic, complemented
1084#417C22×C4311yescharacteristic, complemented
1085#416C22×C4311yescharacteristic, complemented
1086C2×#103C22×C4311yescharacteristic, complemented
1087C2×#103C22×C4311yescharacteristic, complemented
1088C2×#102C22×C4311yescharacteristic, complemented
1089C43#6206311yescharacteristic, direct product factor, Sylow
1090C2×#41—21no—
1091C2×#41C23×C4311yescharacteristic
1092C2×#41C23×C4311yescharacteristic
1093C2×#41C23×C4311yescharacteristic
1094C22×Q8C23×C4311yescharacteristic
1095C22×Q8C23×C4311yescharacteristic
1096C22×Q8C23×C4311yescharacteristic
1097C22×D4—21no—
1098C22×D4C23×C4311yescharacteristic
1099C22×D4C23×C4311yescharacteristic
1100C22×D4C23×C4311yescharacteristic
1101C23×C4—21no—
1102#137—42no—
1103AGL(1,ℤ/8)—42no—
1104#135—42no—
1105C2×Q16C23×C4311yescharacteristic
1106C2×Q16C23×C4311yescharacteristic
1107C2×Q16C23×C4311yescharacteristic
1108C2×Q16C23×C4311yescharacteristic
1109C2×SD16—42no—
1110C2×SD16—42no—
1111C2×SD16C23×C4311yescharacteristic
1112C2×SD16C23×C4311yescharacteristic
1113C2×SD16C23×C4311yescharacteristic
1114C2×SD16C23×C4311yescharacteristic
1115C2×SD16C23×C4311yescharacteristic
1116C2×SD16C23×C4311yescharacteristic
1117C2×SD16C23×C4311yescharacteristic
1118C2×SD16C23×C4311yescharacteristic
1119C2×SD16C23×C4311yescharacteristic
1120C2×SD16C23×C4311yescharacteristic
1121C2×SD16C23×C4311yescharacteristic
1122C2×SD16C23×C4311yescharacteristic
1123C2×SD16C23×C4311yescharacteristic
1124C2×SD16C23×C4311yescharacteristic
1125C2×D8—42no—
1126C2×D8C23×C4311yescharacteristic
1127C2×D8C23×C4311yescharacteristic
1128C2×D8C23×C4311yescharacteristic
1129C2×D8C23×C4311yescharacteristic
1130C2×D8C23×C4311yescharacteristic
1131C2×D8C23×C4311yescharacteristic
1132C2×M16C23×C4311yescharacteristic
1133C2×M16C23×C4311yescharacteristic
1134C22×C8C23×C4311yescharacteristic
1135C22×C8C23×C4311yescharacteristic
1136C22×C8C23×C4311yescharacteristic
1137C22×C8C23×C4311yescharacteristic
1138C4⋊Q8—21no—
1139C4⋊Q8—21no—
1140C4⋊Q8C23×C4311yescharacteristic
1141C4⋊Q8C23×C4311yescharacteristic
1142C4⋊Q8C23×C4311yescharacteristic
1143C4⋊Q8C23×C4311yescharacteristic
1144C4⋊Q8C23×C4311yescharacteristic
1145#127C23×C4311yescharacteristic
1146#126—21no—
1147#126—21no—
1148#126—21no—
1149#126—21no—
1150#126—21no—
1151#126—21no—
1152#126—21no—
1153#126—21no—
1154#126—21no—
1155#126—21no—
1156#126D4×C4311yescharacteristic
1157#126D4×C4311yescharacteristic
1158#125—21no—
1159#125—21no—
1160#125D4×C4311yescharacteristic
1161#125C23×C4311yescharacteristic
1162#125C23×C4311yescharacteristic
1163#124—21no—
1164#124—21no—
1165#124—21no—
1166#124—21no—
1167#124—21no—
1168#124—21no—
1169#124—21no—
1170#124—21no—
1171#124D4×C4311yescharacteristic
1172#124C23×C4311yescharacteristic
1173#124C23×C4311yescharacteristic
1174#124C23×C4311yescharacteristic
1175#124C23×C4311yescharacteristic
1176#124C23×C4311yescharacteristic
1177#124C23×C4311yescharacteristic
1178#124C23×C4311yescharacteristic
1179#124C23×C4311yescharacteristic
1180#123—21no—
1181#123—21no—
1182#123—21no—
1183#123—21no—
1184#123—21no—
1185#123—21no—
1186#123—21no—
1187#123—21no—
1188#123—21no—
1189#123—21no—
1190#123—21no—
1191#123—21no—
1192#123—21no—
1193#123—21no—
1194#123—21no—
1195#123—21no—
1196#123—21no—
1197#123—21no—
1198#123—21no—
1199#123—21no—
1200#123D4×C4311yescharacteristic
1201#123D4×C4311yescharacteristic
1202C22⋊Q8—21no—
1203C22⋊Q8—21no—
1204C22⋊Q8—21no—
1205C22⋊Q8—21no—
1206C22⋊Q8—21no—
1207C22⋊Q8—21no—
1208C22⋊Q8—21no—
1209C22⋊Q8—21no—
1210C22⋊Q8—21no—
1211C22⋊Q8—21no—
1212C22⋊Q8—21no—
1213C22⋊Q8—21no—
1214C22⋊Q8—21no—
1215C22⋊Q8—21no—
1216C22⋊Q8—21no—
1217C22⋊Q8—21no—
1218C22⋊Q8—21no—
1219C22⋊Q8—21no—
1220C22⋊Q8—21no—
1221C22⋊Q8—21no—
1222C22⋊Q8D4×C4311yescharacteristic
1223C22⋊Q8C23×C4311yescharacteristic
1224C22⋊Q8C23×C4311yescharacteristic
1225C22⋊Q8C23×C4311yescharacteristic
1226C22⋊Q8C23×C4311yescharacteristic
1227C22⋊Q8C23×C4311yescharacteristic
1228C22⋊Q8C23×C4311yescharacteristic
1229#121—21no—
1230#121—21no—
1231#121—21no—
1232#121—21no—
1233#121—21no—
1234#121—21no—
1235#121—21no—
1236#121—21no—
1237#121—21no—
1238#121—21no—
1239#121D4×C4311yescharacteristic
1240#121C23×C4311yescharacteristic
1241#121C23×C4311yescharacteristic
1242#121C23×C4311yescharacteristic
1243#121C23×C4311yescharacteristic
1244#121C23×C4311yescharacteristic
1245#121C23×C4311yescharacteristic
1246#120—21no—
1247#120—21no—
1248#120—21no—
1249#120—21no—
1250#120—21no—
1251#120—21no—
1252C4×Q8—21no—
1253C4×Q8C23×C4311yescharacteristic
1254C4×Q8C23×C4311yescharacteristic
1255C4×Q8C23×C4311yescharacteristic
1256C4×Q8C23×C4311yescharacteristic
1257C4×Q8C23×C4311yescharacteristic
1258C4×Q8C23×C4311yescharacteristic
1259C4×Q8C23×C4311yescharacteristic
1260C4×D4—21no—
1261C4×D4—21no—
1262C4×D4—21no—
1263C4×D4—21no—
1264C4×D4—21no—
1265C4×D4—21no—
1266C4×D4—21no—
1267C4×D4—21no—
1268C4×D4—21no—
1269C4×D4—21no—
1270C4×D4—21no—
1271C4×D4—21no—
1272C4×D4—21no—
1273C4×D4C23×C4311yescharacteristic
1274C4×D4C23×C4311yescharacteristic
1275C4×D4C23×C4311yescharacteristic
1276C4×D4C23×C4311yescharacteristic
1277C4×D4C23×C4311yescharacteristic
1278C4×D4C23×C4311yescharacteristic
1279C4×D4C23×C4311yescharacteristic
1280C4×D4C23×C4311yescharacteristic
1281C4×D4C23×C4311yescharacteristic
1282C4×D4C23×C4311yescharacteristic
1283C4×D4C23×C4311yescharacteristic
1284C4×D4C23×C4311yescharacteristic
1285C4×D4C23×C4311yescharacteristic
1286#117—21no—
1287#117—21no—
1288#117—21no—
1289#117—21no—
1290#117—21no—
1291#117—21no—
1292#117C23×C4311yescharacteristic
1293#117C23×C4311yescharacteristic
1294#117C23×C4311yescharacteristic
1295C2×C4⋊C4—21no—
1296C2×C4⋊C4—21no—
1297C2×C4⋊C4C23×C4311yescharacteristic
1298C2×C4⋊C4C23×C4311yescharacteristic
1299C2×C22⋊C4—21no—
1300C2×C22⋊C4—21no—
1301C2×C22⋊C4—21no—
1302C2×C22⋊C4—21no—
1303C2×C22⋊C4—21no—
1304C2×C22⋊C4—21no—
1305C2×C22⋊C4—21no—
1306C2×C22⋊C4—21no—
1307C2×C22⋊C4—21no—
1308C2×C42C23×C4311yescharacteristic
1309#107C23×C4311yescharacteristic
1310#107C23×C4311yescharacteristic
1311#106C23×C4311yescharacteristic
1312#106C23×C4311yescharacteristic
1313#106C23×C4311yescharacteristic
1314#106C23×C4311yescharacteristic
1315#106C23×C4311yescharacteristic
1316#106C23×C4311yescharacteristic
1317C4⋊C8C23×C4311yescharacteristic
1318C4⋊C8C23×C4311yescharacteristic
1319C4⋊C8C23×C4311yescharacteristic
1320C4⋊C8C23×C4311yescharacteristic
1321C4⋊C8C23×C4311yescharacteristic
1322C4⋊C8C23×C4311yescharacteristic
1323C4⋊C8C23×C4311yescharacteristic
1324C4⋊C8C23×C4311yescharacteristic
1325C4⋊C8C23×C4311yescharacteristic
1326C4⋊C8C23×C4311yescharacteristic
1327#103C23×C4311yescharacteristic
1328#103C23×C4311yescharacteristic
1329#103C23×C4311yescharacteristic
1330#103C23×C4311yescharacteristic
1331#103C23×C4311yescharacteristic
1332#103C23×C4311yescharacteristic
1333#103C23×C4311yescharacteristic
1334#103C23×C4311yescharacteristic
1335#103C23×C4311yescharacteristic
1336#103C23×C4311yescharacteristic
1337#103C23×C4311yescharacteristic
1338#103C23×C4311yescharacteristic
1339#103C23×C4311yescharacteristic
1340#103C23×C4311yescharacteristic
1341#103C23×C4311yescharacteristic
1342#103C23×C4311yescharacteristic
1343#103C23×C4311yescharacteristic
1344#103C23×C4311yescharacteristic
1345#102C23×C4311yescharacteristic
1346#102C23×C4311yescharacteristic
1347#102C23×C4311yescharacteristic
1348#102C23×C4311yescharacteristic
1349#102C23×C4311yescharacteristic
1350#102C23×C4311yescharacteristic
1351#102C23×C4311yescharacteristic
1352#102C23×C4311yescharacteristic
1353#102C23×C4311yescharacteristic
1354#102C23×C4311yescharacteristic
1355#102C23×C4311yescharacteristic
1356#102C23×C4311yescharacteristic
1357#102C23×C4311yescharacteristic
1358#102C23×C4311yescharacteristic
1359C22⋊C8C23×C4311yescharacteristic
1360C22⋊C8C23×C4311yescharacteristic
1361C22⋊C8C23×C4311yescharacteristic
1362C22⋊C8C23×C4311yescharacteristic
1363C22⋊C8C23×C4311yescharacteristic
1364C22⋊C8C23×C4311yescharacteristic
1365#97C23×C4311yescharacteristic
1366#97C23×C4311yescharacteristic
1367C4×C8C23×C4311yescharacteristic
1368C4×C8C23×C4311yescharacteristic
1369C4×C8C23×C4311yescharacteristic
1370C4×C8C23×C4311yescharacteristic
1371C24—21no—
1372C24—21no—
1373C24—21no—
1374#41—22no—
1375#41—41no—
1376#41—41no—
1377#41—41no—
1378#41—41no—
1379#41—41no—
1380#41—82no—
1381C2×Q8—21no—
1382C2×Q8—21no—
1383C2×Q8—21no—
1384C2×Q8—21no—
1385C2×Q8—21no—
1386C2×Q8—41no—
1387C2×Q8—41no—
1388C2×Q8—41no—
1389C2×Q8—41no—
1390C2×Q8—41no—
1391C2×Q8—41no—
1392C2×Q8C2×D4×C4311yescharacteristic
1393C2×Q8C24×C4311yescharacteristic
1394C2×Q8C24×C4311yescharacteristic
1395C2×Q8C24×C4311yescharacteristic
1396C2×Q8C24×C4311yescharacteristic
1397C2×Q8C24×C4311yescharacteristic
1398C2×D4—22no—
1399C2×D4—22no—
1400C2×D4—21no—
1401C2×D4—21no—
1402C2×D4—21no—
1403C2×D4—21no—
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—21no—
1408C2×D4—21no—
1409C2×D4—21no—
1410C2×D4—21no—
1411C2×D4—21no—
1412C2×D4—21no—
1413C2×D4—21no—
1414C2×D4—41no—
1415C2×D4—41no—
1416C2×D4—41no—
1417C2×D4—41no—
1418C2×D4—82no—
1419C2×D4C2×D4×C4311yescharacteristic
1420C2×D4C2×D4×C4311yescharacteristic
1421C2×D4C2×D4×C4311yescharacteristic
1422C2×D4C24×C4311yescharacteristic
1423C2×D4C24×C4311yescharacteristic
1424C2×D4C24×C4311yescharacteristic
1425C2×D4C24×C4311yescharacteristic
1426C2×D4C24×C4311yescharacteristic
1427C22×C4—21no—
1428C22×C4—21no—
1429C22×C4—21no—
1430C22×C4—21no—
1431C22×C4—21no—
1432C22×C4—21no—
1433C22×C4—21no—
1434C22×C4—21no—
1435C22×C4—21no—
1436C22×C4—21no—
1437C22×C4—21no—
1438C22×C4—21no—
1439C22×C4—21no—
1440C22×C4—21no—
1441C22×C4—21no—
1442C22×C4—21no—
1443C22×C4—21no—
1444C22×C4—21no—
1445C22×C4—82no—
1446C22×C4C2×D4×C4311yescharacteristic
1447C22×C4C2×D4×C4311yescharacteristic
1448C22×C4C24×C4311yescharacteristic
1449C22×C4C24×C4311yescharacteristic
1450C22×C4C24×C4311yescharacteristic
1451Q16—41no—
1452Q16—41no—
1453Q16—41no—
1454Q16—41no—
1455SD16—22no—
1456SD16—22no—
1457SD16—22no—
1458SD16—22no—
1459SD16—41no—
1460SD16—41no—
1461SD16—41no—
1462SD16—41no—
1463SD16—41no—
1464SD16—41no—
1465SD16—41no—
1466SD16—41no—
1467SD16—41no—
1468SD16—41no—
1469D8—22no—
1470D8—22no—
1471D8—41no—
1472D8—41no—
1473D8—41no—
1474D8—41no—
1475M16—41no—
1476M16—41no—
1477C2×C8—41no—
1478C2×C8—41no—
1479C2×C8—41no—
1480C2×C8—41no—
1481C2×C8C24×C4311yescharacteristic
1482C2×C8C24×C4311yescharacteristic
1483C2×C8C24×C4311yescharacteristic
1484C2×C8C24×C4311yescharacteristic
1485C2×C8C24×C4311yescharacteristic
1486C2×C8C24×C4311yescharacteristic
1487C2×C8C24×C4311yescharacteristic
1488C2×C8C24×C4311yescharacteristic
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—21no—
1492C4⋊C4—21no—
1493C4⋊C4—21no—
1494C4⋊C4—21no—
1495C4⋊C4—21no—
1496C4⋊C4—21no—
1497C4⋊C4—21no—
1498C4⋊C4—21no—
1499C4⋊C4—21no—
1500C4⋊C4—21no—
1501C4⋊C4—21no—
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—21no—
1506C4⋊C4—21no—
1507C4⋊C4—21no—
1508C4⋊C4—21no—
1509C4⋊C4—21no—
1510C4⋊C4—21no—
1511C4⋊C4—21no—
1512C4⋊C4—21no—
1513C4⋊C4—21no—
1514C4⋊C4—21no—
1515C4⋊C4C2×D4×C4311yescharacteristic
1516C4⋊C4C2×D4×C4311yescharacteristic
1517C4⋊C4C2×D4×C4311yescharacteristic
1518C4⋊C4C2×D4×C4311yescharacteristic
1519C4⋊C4C2×D4×C4311yescharacteristic
1520C4⋊C4C2×D4×C4311yescharacteristic
1521C4⋊C4C2×D4×C4311yescharacteristic
1522C4⋊C4C2×D4×C4311yescharacteristic
1523C4⋊C4C2×D4×C4311yescharacteristic
1524C4⋊C4C2×D4×C4311yescharacteristic
1525C4⋊C4C24×C4311yescharacteristic
1526C4⋊C4C24×C4311yescharacteristic
1527C4⋊C4C24×C4311yescharacteristic
1528C4⋊C4C24×C4311yescharacteristic
1529C4⋊C4C24×C4311yescharacteristic
1530C4⋊C4C24×C4311yescharacteristic
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—21no—
1534C22⋊C4—21no—
1535C22⋊C4—21no—
1536C22⋊C4—21no—
1537C22⋊C4—21no—
1538C22⋊C4—21no—
1539C22⋊C4—21no—
1540C22⋊C4—21no—
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—21no—
1551C22⋊C4—21no—
1552C22⋊C4—21no—
1553C22⋊C4—21no—
1554C22⋊C4—21no—
1555C22⋊C4—21no—
1556C22⋊C4—21no—
1557C22⋊C4—21no—
1558C22⋊C4—21no—
1559C22⋊C4—21no—
1560C22⋊C4—21no—
1561C22⋊C4—21no—
1562C22⋊C4—21no—
1563C22⋊C4—21no—
1564C22⋊C4—21no—
1565C22⋊C4—21no—
1566C22⋊C4—21no—
1567C22⋊C4—21no—
1568C22⋊C4—21no—
1569C22⋊C4—21no—
1570C22⋊C4C2×D4×C4311yescharacteristic
1571C22⋊C4C2×D4×C4311yescharacteristic
1572C22⋊C4C2×D4×C4311yescharacteristic
1573C22⋊C4C2×D4×C4311yescharacteristic
1574C22⋊C4C2×D4×C4311yescharacteristic
1575C22⋊C4C2×D4×C4311yescharacteristic
1576C22⋊C4C2×D4×C4311yescharacteristic
1577C22⋊C4C2×D4×C4311yescharacteristic
1578C22⋊C4C2×D4×C4311yescharacteristic
1579C22⋊C4C2×D4×C4311yescharacteristic
1580C42—21no—
1581C42—21no—
1582C42—21no—
1583C42—21no—
1584C42—21no—
1585C42—21no—
1586C42—21no—
1587C42C2×D4×C4311yescharacteristic
1588C42C2×D4×C4311yescharacteristic
1589C42C24×C4311yescharacteristic
1590C42C24×C4311yescharacteristic
1591C42C24×C4311yescharacteristic
1592C42C24×C4311yescharacteristic
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—42no—
1599C23—42no—
1600C23—42no—
1601C23—42no—
1602C23—81no—
1603C23—81no—
1604C23—81no—
1605C23—81no—
1606C23—81no—
1607C23C22×D4×C4311yescharacteristic
1608C23C22×D4×C4311yescharacteristic
1609C23C22×D4×C4311yescharacteristic
1610Q8—21no—
1611Q8—21no—
1612Q8—21no—
1613Q8—21no—
1614Q8—21no—
1615Q8—21no—
1616Q8—21no—
1617Q8—21no—
1618Q8—21no—
1619Q8—21no—
1620Q8—41no—
1621Q8—81no—
1622Q8—81no—
1623Q8—81no—
1624Q8—81no—
1625Q8—81no—
1626D4—22no—
1627D4—22no—
1628D4—21no—
1629D4—21no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—21no—
1634D4—21no—
1635D4—21no—
1636D4—21no—
1637D4—41no—
1638D4—42no—
1639D4—42no—
1640D4—42no—
1641D4—42no—
1642D4—81no—
1643D4—81no—
1644D4—81no—
1645D4—81no—
1646D4—81no—
1647D4—81no—
1648D4—81no—
1649D4—81no—
1650D4—81no—
1651D4—81no—
1652D4H(5,𝔽2)×C4312yes—
1653C2×C4—22no—
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—41no—
1672C2×C4—42no—
1673C2×C4—42no—
1674C2×C4—81no—
1675C2×C4—81no—
1676C2×C4—81no—
1677C2×C4—81no—
1678C2×C4—81no—
1679C2×C4—81no—
1680C2×C4—81no—
1681C2×C4—81no—
1682C2×C4—81no—
1683C2×C4—81no—
1684C2×C4—81no—
1685C2×C4—81no—
1686C2×C4—81no—
1687C2×C4—81no—
1688C2×C4—81no—
1689C2×C4—81no—
1690C2×C4C22×D4×C4311yescharacteristic
1691C2×C4C22×D4×C4311yescharacteristic
1692C2×C4C22×D4×C4311yescharacteristic
1693C2×C4C22×D4×C4311yescharacteristic
1694C2×C4C22×D4×C4311yescharacteristic
1695C2×C4C22×D4×C4311yescharacteristic
1696C2×C4C22×D4×C4311yescharacteristic
1697C2×C4C22×D4×C4311yescharacteristic
1698C2×C4C22×D4×C4311yescharacteristic
1699C2×C4C22×D4×C4311yescharacteristic
1700C2×C4C22×D4×C4311yescharacteristic
1701C2×C4C25×C4311yescharacteristic
1702C8—21no—
1703C8—21no—
1704C8—21no—
1705C8—21no—
1706C8—21no—
1707C8—21no—
1708C8—21no—
1709C8—21no—
1710C22—21no—
1711C22—21no—
1712C22—21no—
1713C22—21no—
1714C22—22no—
1715C22—21no—
1716C22—21no—
1717C22—21no—
1718C22—21no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—84no—
1734C22—162no—
1735C22—162no—
1736C22C43×#57712yes—
1737C22C23×D4×C4311yescharacteristic
1738C4—21no—
1739C4—21no—
1740C4—21no—
1741C4—21no—
1742C4—21no—
1743C4—21no—
1744C4—21no—
1745C4—21no—
1746C4—21no—
1747C4—21no—
1748C4—21no—
1749C4—41no—
1750C4—41no—
1751C4—41no—
1752C4—41no—
1753C4—41no—
1754C4—41no—
1755C4—41no—
1756C4—41no—
1757C4—41no—
1758C4—41no—
1759C4—41no—
1760C4C2×H(5,𝔽2)×C4311yescharacteristic
1761C4C43×#58511yescharacteristic
1762C2—22no—
1763C2—41no—
1764C2—41no—
1765C2—42no—
1766C2—81no—
1767C2—81no—
1768C2—81no—
1769C2—81no—
1770C2C43×#348811yescharacteristic
1771C2C2×C43×#57711yescharacteristic
1772C2C43×#358411yescharacteristic
subgroupG/H
center, socleC22×C43C23×D4
commutator, Frattini, cosocleC2×C4C25×C43
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C43 ◁ C43×#529 ◁ G

Complements

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

NH ≅ G/Ntype
1. C43×#3561C2semidirect
2. C43×#3513C2semidirect
3. C43×#3401C2semidirect
4. C43×#3394C2semidirect
5. C43×#3376C2semidirect
6. C43×#3360C2semidirect
7. C43×#3326C2semidirect
8. C43×#3312C2semidirect
9. C43×#3306C2semidirect
10. C43×#3301C2semidirect
11. C43×#3298C2semidirect
12. C43×#3296C2semidirect
13. C43×#3282C2semidirect
14. D4×SD16×C43C2semidirect
15. C43×#3280C2semidirect
16. C43×#3275C2semidirect
17. C43×#3266C2semidirect
18. C43×#3264C2semidirect
19. C43×#3263C2semidirect
20. C43×#3257C2semidirect
21. C43×#3248C2semidirect
22. C43×#3225C2semidirect
23. C43×#3221C2semidirect
24. C43×#3211C2semidirect
25. C43×#3125C2semidirect
26. C43×#3118C2semidirect
27. C43×#3101C2semidirect
28. C43×#3046C2semidirect
29. C43×#3042C2semidirect
30. C2×C43×#463C2semidirect
31. C43×#2994C2semidirect
32. C2×#137×C43C22semidirect
36. C22×SD16×C43C22semidirect
40. C43×#559C22semidirect
41. C43×#556C22semidirect
42. C43×#556C22semidirect
43. C43×#554C22semidirect
45. C43×#553C22semidirect
52. D4×Q8×C43C22semidirect
53. C43×#548C22semidirect
54. C43×#548C22semidirect
59. C43×#546C22semidirect
60. C43×#546C22semidirect
65. C43×#542C22semidirect
66. C43×#542C22semidirect
67. C43×#542C22semidirect
68. C43×#540C22semidirect
72. C43×#536C22semidirect
73. C43×#536C22semidirect
74. C43×#533C22semidirect
77. C2×#124×C43C22semidirect
80. C43×#520C22semidirect
81. C43×#518C22semidirect
83. C43×#497C22semidirect
85. C43×#495C22semidirect
86. C43×#495C22semidirect
87. C43×#495C22semidirect
88. C43×#492C22semidirect
89. C43×#491C22semidirect
90. C43×#489C22semidirect
91. C43×#488C22semidirect
92. C43×#488C22semidirect
93. C43×#488C22semidirect
94. C43×#487C22semidirect
95. C43×#485C22semidirect
96. C43×#483C22semidirect
97. C43×#483C22semidirect
98. C43×#483C22semidirect
99. C43×#482C22semidirect
100. C43×#481C22semidirect
101. C43×#479C22semidirect
102. C43×#479C22semidirect
103. C43×#479C22semidirect
104. C43×#478C22semidirect
105. C43×#476C22semidirect
106. C43×#476C22semidirect
107. C43×#476C22semidirect
108. C43×#475C22semidirect
109. C43×#475C22semidirect
110. C43×#474C22semidirect
111. C43×#470C22semidirect
113. C43×#469C22semidirect
114. C43×#468C22semidirect
115. C43×#467C22semidirect
116. C43×#467C22semidirect
117. C43×#466C22semidirect
120. C43×#465C22semidirect
121. C43×#465C22semidirect
122. C43×#465C22semidirect
123. C43×#464C22semidirect
124. C43×#464C22semidirect
125. C43×#464C22semidirect
126. C43×#464C22semidirect
127. C43×#464C22semidirect
128. C43×#464C22semidirect
135. C43×#463C22semidirect
136. C43×#463C22semidirect
137. C43×#463C22semidirect
138. C43×#463C22semidirect
139. C43×#463C22semidirect
140. C43×#463C22semidirect
141. C43×#463C22semidirect
142. C43×#463C22semidirect
143. C43×#462C22semidirect
144. C43×#462C22semidirect
145. C43×#461C22semidirect
146. C43×#461C22semidirect
147. C43×#461C22semidirect
148. C43×#461C22semidirect
149. C43×#461C22semidirect
150. C43×#461C22semidirect
151. C43×#460C22semidirect
153. C43×#452C22semidirect
154. C43×#452C22semidirect
155. C43×#451C22semidirect
156. C43×#451C22semidirect
159. C43×#450C22semidirect
160. C43×#450C22semidirect
163. C43×#449C22semidirect
164. C43×#449C22semidirect
166. C43×#448C22semidirect
167. C43×#448C22semidirect
168. C43×#448C22semidirect
171. C43×#446C22semidirect
172. C8×Q8×C43C22semidirect
174. C43×#442C22semidirect
175. C43×#441C22semidirect
176. C43×#440C22semidirect
177. C4×SD16×C43C22semidirect
178. C4×SD16×C43C22semidirect
179. C4×SD16×C43C22semidirect
180. C4×SD16×C43C22semidirect
181. C4×SD16×C43C22semidirect
182. C4×SD16×C43C22semidirect
183. C4×SD16×C43C22semidirect
185. C43×#436C22semidirect
187. C43×#435C22semidirect
189. C8×D4×C43C22semidirect
190. C8×D4×C43C22semidirect
191. C43×#433C22semidirect
192. C43×#433C22semidirect
193. C43×#431C22semidirect
194. C43×#424C22semidirect
195. C43×#424C22semidirect
196. C2×C4⋊C8×C43C22semidirect
197. C43×#419C22semidirect
198. C43×#417C22semidirect
199. C43×#416C22semidirect
200. C2×#103×C43C22semidirect
201. C2×#103×C43C22semidirect
202. C2×#102×C43C22semidirect
823. #62063C43direct (N × H)
876. #3561C2×C43semidirect
877. #3513C2×C43semidirect
878. #3401C2×C43semidirect
879. #3394C2×C43semidirect
880. #3376C2×C43semidirect
881. #3360C2×C43semidirect
882. #3326C2×C43semidirect
883. #3312C2×C43semidirect
884. #3306C2×C43semidirect
885. #3301C2×C43semidirect
886. #3298C2×C43semidirect
887. #3296C2×C43semidirect
888. #3282C2×C43semidirect
889. D4×SD16C2×C43semidirect
890. #3280C2×C43semidirect
891. #3275C2×C43semidirect
892. #3266C2×C43semidirect
893. #3264C2×C43semidirect
894. #3263C2×C43semidirect
895. #3257C2×C43semidirect
896. #3248C2×C43semidirect
897. #3225C2×C43semidirect
898. #3221C2×C43semidirect
899. #3211C2×C43semidirect
900. #3125C2×C43semidirect
901. #3118C2×C43semidirect
902. #3101C2×C43semidirect
903. #3046C2×C43semidirect
904. #3042C2×C43semidirect
905. C2×#463C2×C43semidirect
906. #2994C2×C43semidirect
918. C2×#137C22×C43semidirect
922. C22×SD16C22×C43semidirect
926. #559C22×C43semidirect
927. #556C22×C43semidirect
928. #556C22×C43semidirect
929. #554C22×C43semidirect
931. #553C22×C43semidirect
938. D4×Q8C22×C43semidirect
939. #548C22×C43semidirect
940. #548C22×C43semidirect
945. #546C22×C43semidirect
946. #546C22×C43semidirect
951. #542C22×C43semidirect
952. #542C22×C43semidirect
953. #542C22×C43semidirect
954. #540C22×C43semidirect
958. #536C22×C43semidirect
959. #536C22×C43semidirect
960. #533C22×C43semidirect
963. C2×#124C22×C43semidirect
966. #520C22×C43semidirect
967. #518C22×C43semidirect
969. #497C22×C43semidirect
971. #495C22×C43semidirect
972. #495C22×C43semidirect
973. #495C22×C43semidirect
974. #492C22×C43semidirect
975. #491C22×C43semidirect
976. #489C22×C43semidirect
977. #488C22×C43semidirect
978. #488C22×C43semidirect
979. #488C22×C43semidirect
980. #487C22×C43semidirect
981. #485C22×C43semidirect
982. #483C22×C43semidirect
983. #483C22×C43semidirect
984. #483C22×C43semidirect
985. #482C22×C43semidirect
986. #481C22×C43semidirect
987. #479C22×C43semidirect
988. #479C22×C43semidirect
989. #479C22×C43semidirect
990. #478C22×C43semidirect
991. #476C22×C43semidirect
992. #476C22×C43semidirect
993. #476C22×C43semidirect
994. #475C22×C43semidirect
995. #475C22×C43semidirect
996. #474C22×C43semidirect
997. #470C22×C43semidirect
999. #469C22×C43semidirect
1000. #468C22×C43semidirect
1001. #467C22×C43semidirect
1002. #467C22×C43semidirect
1003. #466C22×C43semidirect
1006. #465C22×C43semidirect
1007. #465C22×C43semidirect
1008. #465C22×C43semidirect
1009. #464C22×C43semidirect
1010. #464C22×C43semidirect
1011. #464C22×C43semidirect
1012. #464C22×C43semidirect
1013. #464C22×C43semidirect
1014. #464C22×C43semidirect
1021. #463C22×C43semidirect
1022. #463C22×C43semidirect
1023. #463C22×C43semidirect
1024. #463C22×C43semidirect
1025. #463C22×C43semidirect
1026. #463C22×C43semidirect
1027. #463C22×C43semidirect
1028. #463C22×C43semidirect
1029. #462C22×C43semidirect
1030. #462C22×C43semidirect
1031. #461C22×C43semidirect
1032. #461C22×C43semidirect
1033. #461C22×C43semidirect
1034. #461C22×C43semidirect
1035. #461C22×C43semidirect
1036. #461C22×C43semidirect
1037. #460C22×C43semidirect
1039. #452C22×C43semidirect
1040. #452C22×C43semidirect
1041. #451C22×C43semidirect
1042. #451C22×C43semidirect
1045. #450C22×C43semidirect
1046. #450C22×C43semidirect
1049. #449C22×C43semidirect
1050. #449C22×C43semidirect
1052. #448C22×C43semidirect
1053. #448C22×C43semidirect
1054. #448C22×C43semidirect
1057. #446C22×C43semidirect
1058. C8×Q8C22×C43semidirect
1060. #442C22×C43semidirect
1061. #441C22×C43semidirect
1062. #440C22×C43semidirect
1063. C4×SD16C22×C43semidirect
1064. C4×SD16C22×C43semidirect
1065. C4×SD16C22×C43semidirect
1066. C4×SD16C22×C43semidirect
1067. C4×SD16C22×C43semidirect
1068. C4×SD16C22×C43semidirect
1069. C4×SD16C22×C43semidirect
1071. #436C22×C43semidirect
1073. #435C22×C43semidirect
1075. C8×D4C22×C43semidirect
1076. C8×D4C22×C43semidirect
1077. #433C22×C43semidirect
1078. #433C22×C43semidirect
1079. #431C22×C43semidirect
1080. #424C22×C43semidirect
1081. #424C22×C43semidirect
1082. C2×C4⋊C8C22×C43semidirect
1083. #419C22×C43semidirect
1084. #417C22×C43semidirect
1085. #416C22×C43semidirect
1086. C2×#103C22×C43semidirect
1087. C2×#103C22×C43semidirect
1088. C2×#102C22×C43semidirect
1089. C43#62063direct (N × H)

Maximal subgroups

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

subgroupindex
C43×#35612
C43×#35132
C43×#34012
C43×#33942
C43×#33762
C43×#33602
C43×#33262
C43×#33122
C43×#33062
C43×#33012
C43×#32982
C43×#32962
C43×#32822
D4×SD16×C432
C43×#32802
C43×#32752
C43×#32662
C43×#32642
C43×#32632
C43×#32572
C43×#32482
C43×#32252
C43×#32212
C43×#32112
C43×#31252
C43×#31182
C43×#31012
C43×#30462
C43×#30422
C2×C43×#4632
C43×#29942
#6206343