Finite Group Databasebeta

← C43×#61992 #24982009

Subgroups — C43×#61992 #24982009

Order 11008.

1870 conjugacy classes of subgroups.

The subgroup lattice has 1772 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C43×#3514C211yesmaximal, characteristic, complemented
2C43×#3480C211yesmaximal, characteristic, complemented
3C43×#3403C211yesmaximal, characteristic, complemented
4C43×#3401C211yesmaximal, characteristic, complemented
5C43×#3377C211yesmaximal, characteristic, complemented
6C43×#3371C211yesmaximal, characteristic, complemented
7C43×#3320C211yesmaximal, characteristic, complemented
8C43×#3318C211yesmaximal, characteristic, complemented
9C43×#3313C211yesmaximal, characteristic, complemented
10C43×#3311C211yesmaximal, characteristic, complemented
11C43×#3301C211yesmaximal, characteristic, complemented
12C43×#3297C211yesmaximal, characteristic, complemented
13C43×#3285C211yesmaximal, characteristic, complemented
14C43×#3282C211yesmaximal, characteristic, complemented
15C43×#3271C211yesmaximal, characteristic, complemented
16C43×#3270C211yesmaximal, characteristic, complemented
17C43×#3268C211yesmaximal, characteristic, complemented
18C43×#3265C211yesmaximal, characteristic, complemented
19C43×#3256C211yesmaximal, characteristic, complemented
20C43×#3250C211yesmaximal, characteristic, complemented
21C43×#3247C211yesmaximal, characteristic, complemented
22C43×#3219C211yesmaximal, characteristic, complemented
23C43×#3213C211yesmaximal, characteristic, complemented
24C43×#3211C211yesmaximal, characteristic, complemented
25C43×#3117C211yesmaximal, characteristic, complemented
26C43×#3111C211yesmaximal, characteristic, complemented
27C43×#3102C211yesmaximal, characteristic, complemented
28C43×#3040C211yesmaximal, characteristic, complemented
29C43×#3035C211yesmaximal, characteristic, complemented
30C2×C43×#464C211yesmaximal, characteristic, complemented
31C43×#2990C211yesmaximal, characteristic, complemented
32C2×#137×C43C2211yescharacteristic, complemented
33C2×AGL(1,ℤ/8)×C43C2211yescharacteristic
34C2×#135×C43C2211yescharacteristic, complemented
35C2×#135×C43C2211yescharacteristic, complemented
36C22×Q16×C43C2211yescharacteristic, complemented
37C22×SD16×C43C2211yescharacteristic
38C43×#559—21no—
39C43×#559C2211yescharacteristic
40C43×#559C2211yescharacteristic, complemented
41C43×#557C2211yescharacteristic, complemented
42C43×#556—21no—
43C43×#556C2211yescharacteristic
44C43×#556C2211yescharacteristic, complemented
45C43×#555—21no—
46C43×#553—21no—
47C43×#553—21no—
48C43×#553C2211yescharacteristic
49C43×#553C2211yescharacteristic, complemented
50C43×#551—21no—
51C43×#551—21no—
52C43×#550C2211yescharacteristic, complemented
53D4×Q8×C43C2211yescharacteristic
54C43×#548C2211yescharacteristic
55C43×#548C2211yescharacteristic
56C43×#548C2211yescharacteristic
57C43×#548C2211yescharacteristic, complemented
58C43×#546—21no—
59C43×#546C2211yescharacteristic
60C43×#546C2211yescharacteristic
61D42×C43C2211yescharacteristic
62C43×#542—21no—
63C43×#538—21no—
64C43×#538—21no—
65C43×#532—21no—
66C43×#532C2211yescharacteristic
67C43×#532C2211yescharacteristic, complemented
68C43×#529—21no—
69C43×#529—21no—
70C43×#529C2211yescharacteristic
71C43×#529C2211yescharacteristic
72C43×#529C2211yescharacteristic
73C43×#529C2211yescharacteristic, complemented
74C43×#529C2211yescharacteristic, complemented
75C2×#124×C43C2211yescharacteristic
76C2×#124×C43C2211yescharacteristic
77C43×#518—21no—
78C4×#41×C43—21no—
79C4×#41×C43C2211yescharacteristic
80C4×#41×C43C2211yescharacteristic, complemented
81C4×#41×C43C2211yescharacteristic, complemented
82C2×C4×Q8×C43C2211yescharacteristic, complemented
83C43×#497C2211yescharacteristic, complemented
84C43×#496C2211yescharacteristic
85C43×#496C2211yescharacteristic
86C43×#496C2211yescharacteristic, complemented
87C43×#495C2211yescharacteristic
88C43×#495C2211yescharacteristic, complemented
89C43×#491C2211yescharacteristic, complemented
90C43×#490C2211yescharacteristic
91C43×#489C2211yescharacteristic
92C43×#489C2211yescharacteristic, complemented
93C43×#488C2211yescharacteristic
94C43×#488C2211yescharacteristic, complemented
95C43×#485C2211yescharacteristic, complemented
96C43×#485C2211yescharacteristic, complemented
97C43×#484C2211yescharacteristic, complemented
98C43×#482C2211yescharacteristic
99C43×#482C2211yescharacteristic
100C43×#481C2211yescharacteristic
101C43×#479C2211yescharacteristic, complemented
102C43×#479C2211yescharacteristic, complemented
103C43×#479C2211yescharacteristic, complemented
104C43×#479C2211yescharacteristic, complemented
105C43×#478C2211yescharacteristic
106C43×#478C2211yescharacteristic, complemented
107C43×#478C2211yescharacteristic, complemented
108C43×#478C2211yescharacteristic, complemented
109C43×#477C2211yescharacteristic, complemented
110C43×#476C2211yescharacteristic, complemented
111C43×#470C2211yescharacteristic, complemented
112C43×#469C2211yescharacteristic
113C43×#468C2211yescharacteristic
114C43×#468C2211yescharacteristic, complemented
115C43×#467C2211yescharacteristic, complemented
116C43×#466C2211yescharacteristic
117C43×#466C2211yescharacteristic
118C43×#466C2211yescharacteristic
119C43×#465C2211yescharacteristic
120C43×#465C2211yescharacteristic, complemented
121C43×#465C2211yescharacteristic, complemented
122C43×#465C2211yescharacteristic, complemented
123C43×#464C2211yescharacteristic
124C43×#464C2211yescharacteristic
125C43×#464C2211yescharacteristic
126C43×#464C2211yescharacteristic
127C43×#464C2211yescharacteristic
128C43×#464C2211yescharacteristic, complemented
129C43×#464C2211yescharacteristic, complemented
130C43×#464C2211yescharacteristic, complemented
131C43×#464C2211yescharacteristic, complemented
132C43×#464C2211yescharacteristic, complemented
133C43×#464C2211yescharacteristic, complemented
134C43×#464C2211yescharacteristic, complemented
135C43×#464C2211yescharacteristic, complemented
136C43×#464C2211yescharacteristic, complemented
137C43×#463C2211yescharacteristic
138C43×#463C2211yescharacteristic
139C43×#463C2211yescharacteristic
140C43×#463C2211yescharacteristic
141C43×#463C2211yescharacteristic, complemented
142C43×#463C2211yescharacteristic, complemented
143C43×#463C2211yescharacteristic, complemented
144C43×#463C2211yescharacteristic, complemented
145C43×#463C2211yescharacteristic, complemented
146C43×#463C2211yescharacteristic, complemented
147C43×#462C2211yescharacteristic, complemented
148C43×#461C2211yescharacteristic, complemented
149C43×#460C2211yescharacteristic
150C43×#460C2211yescharacteristic, complemented
151C43×#459C2211yescharacteristic
152C43×#459C2211yescharacteristic, complemented
153C43×#452C2211yescharacteristic, complemented
154C43×#452C2211yescharacteristic, complemented
155C43×#452C2211yescharacteristic, complemented
156C43×#452C2211yescharacteristic, complemented
157C43×#451C2211yescharacteristic, complemented
158C43×#451C2211yescharacteristic, complemented
159C43×#450C2211yescharacteristic
160C43×#449C2211yescharacteristic
161C43×#449C2211yescharacteristic
162C43×#449C2211yescharacteristic, complemented
163C43×#449C2211yescharacteristic, complemented
164C43×#448C2211yescharacteristic
165C43×#448C2211yescharacteristic, complemented
166C43×#448C2211yescharacteristic, complemented
167C43×#448C2211yescharacteristic, complemented
168C43×#447C2211yescharacteristic
169C43×#447C2211yescharacteristic
170C43×#447C2211yescharacteristic
171C43×#446C2211yescharacteristic, complemented
172C43×#446C2211yescharacteristic, complemented
173C43×#442C2211yescharacteristic
174C43×#441C2211yescharacteristic, complemented
175C43×#441C2211yescharacteristic, complemented
176C43×#441C2211yescharacteristic, complemented
177C43×#440C2211yescharacteristic
178C43×#440C2211yescharacteristic, complemented
179C43×#440C2211yescharacteristic, complemented
180C43×#440C2211yescharacteristic, complemented
181C4×Q16×C43C2211yescharacteristic, complemented
182C4×SD16×C43C2211yescharacteristic, complemented
183C4×SD16×C43C2211yescharacteristic, complemented
184C4×D8×C43C2211yescharacteristic, complemented
185C43×#435C2211yescharacteristic
186C43×#435C2211yescharacteristic
187C43×#435C2211yescharacteristic, complemented
188C43×#435C2211yescharacteristic, complemented
189C8×D4×C43C2211yescharacteristic, complemented
190C8×D4×C43C2211yescharacteristic, complemented
191C43×#432C2211yescharacteristic, complemented
192C43×#432C2211yescharacteristic, complemented
193C43×#431C2211yescharacteristic, complemented
194C43×#423C2211yescharacteristic, complemented
195C2×C4⋊C8×C43C2211yescharacteristic, complemented
196C2×C4⋊C8×C43C2211yescharacteristic, complemented
197C43×#419C2211yescharacteristic, complemented
198C43×#418C2211yescharacteristic
199C43×#416C2211yescharacteristic, complemented
200C43×#416C2211yescharacteristic, complemented
201C2×#103×C43C2211yescharacteristic, complemented
202C2×#102×C43C2211yescharacteristic
203C2×#41×C43—21no—
204C2×#41×C43D411yescharacteristic
205C2×#41×C43C2311yescharacteristic
206C2×#41×C43C2311yescharacteristic
207C2×#41×C43C2311yescharacteristic
208C2×#41×C43C2311yescharacteristic
209C22×Q8×C43C2311yescharacteristic
210C22×Q8×C43C2311yescharacteristic
211C22×Q8×C43C2311yescharacteristic
212C22×D4×C43—21no—
213C22×D4×C43C2311yescharacteristic
214C22×D4×C43C2311yescharacteristic
215#137×C43—42no—
216AGL(1,ℤ/8)×C43—42no—
217#135×C43—42no—
218#135×C43—42no—
219C2×Q16×C43—42no—
220C2×Q16×C43C2311yescharacteristic
221C2×Q16×C43C2311yescharacteristic
222C2×Q16×C43C2311yescharacteristic
223C2×Q16×C43C2311yescharacteristic
224C2×Q16×C43C2311yescharacteristic
225C2×Q16×C43C2311yescharacteristic
226C2×SD16×C43—42no—
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×SD16×C43C2311yescharacteristic
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
255#127×C43—21no—
256#127×C43C2311yescharacteristic
257#127×C43C2311yescharacteristic
258#126×C43—21no—
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#125×C43—21no—
270#125×C43—21no—
271#125×C43C2311yescharacteristic
272#125×C43C2311yescharacteristic
273#125×C43C2311yescharacteristic
274#124×C43—21no—
275#124×C43—21no—
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×C43—21no—
285#124×C43—21no—
286#124×C43C2311yescharacteristic
287#124×C43C2311yescharacteristic
288#124×C43C2311yescharacteristic
289#124×C43C2311yescharacteristic
290#124×C43C2311yescharacteristic
291#124×C43C2311yescharacteristic
292#124×C43C2311yescharacteristic
293#124×C43C2311yescharacteristic
294#124×C43C2311yescharacteristic
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—
308C22⋊Q8×C43—21no—
309C22⋊Q8×C43—21no—
310C22⋊Q8×C43—21no—
311C22⋊Q8×C43—21no—
312C22⋊Q8×C43—21no—
313C22⋊Q8×C43—21no—
314C22⋊Q8×C43—21no—
315C22⋊Q8×C43C2311yescharacteristic
316C22⋊Q8×C43C2311yescharacteristic
317C22⋊Q8×C43C2311yescharacteristic
318C22⋊Q8×C43C2311yescharacteristic
319C22⋊Q8×C43C2311yescharacteristic
320#121×C43—21no—
321#121×C43—21no—
322#121×C43—21no—
323#121×C43—21no—
324#121×C43—21no—
325#121×C43—21no—
326#121×C43—21no—
327#121×C43—21no—
328#121×C43—21no—
329#121×C43—21no—
330#121×C43—21no—
331#121×C43—21no—
332#121×C43—21no—
333#121×C43—21no—
334#121×C43C2311yescharacteristic
335#121×C43C2311yescharacteristic
336#121×C43C2311yescharacteristic
337#121×C43C2311yescharacteristic
338#121×C43C2311yescharacteristic
339#121×C43C2311yescharacteristic
340#121×C43C2311yescharacteristic
341#120×C43—21no—
342#120×C43—21no—
343#120×C43—21no—
344#120×C43—21no—
345C4×Q8×C43—21no—
346C4×Q8×C43—21no—
347C4×Q8×C43—21no—
348C4×Q8×C43—21no—
349C4×Q8×C43D411yescharacteristic
350C4×Q8×C43C2311yescharacteristic
351C4×Q8×C43C2311yescharacteristic
352C4×Q8×C43C2311yescharacteristic
353C4×Q8×C43C2311yescharacteristic
354C4×Q8×C43C2311yescharacteristic
355C4×Q8×C43C2311yescharacteristic
356C4×Q8×C43C2311yescharacteristic
357C4×Q8×C43C2311yescharacteristic
358C4×Q8×C43C2311yescharacteristic
359C4×Q8×C43C2311yescharacteristic
360C4×D4×C43—21no—
361C4×D4×C43—21no—
362C4×D4×C43—21no—
363C4×D4×C43—21no—
364C4×D4×C43—21no—
365C4×D4×C43—21no—
366C4×D4×C43—21no—
367C4×D4×C43—21no—
368C4×D4×C43—21no—
369C4×D4×C43—21no—
370C4×D4×C43—21no—
371C4×D4×C43—21no—
372C4×D4×C43—21no—
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×C43D411yescharacteristic
383C4×D4×C43D411yescharacteristic
384C4×D4×C43D411yescharacteristic
385C4×D4×C43C2311yescharacteristic
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
395#117×C43—21no—
396#117×C43—21no—
397#117×C43—21no—
398#117×C43—21no—
399#117×C43—21no—
400#117×C43—21no—
401#117×C43—21no—
402#117×C43—21no—
403#117×C43D411yescharacteristic
404#117×C43D411yescharacteristic
405#117×C43D411yescharacteristic
406#117×C43C2311yescharacteristic
407#117×C43C2311yescharacteristic
408C2×C4⋊C4×C43—21no—
409C2×C4⋊C4×C43C2311yescharacteristic
410C2×C22⋊C4×C43—21no—
411C2×C22⋊C4×C43—21no—
412C2×C22⋊C4×C43—21no—
413C2×C22⋊C4×C43—21no—
414C2×C22⋊C4×C43—21no—
415C2×C22⋊C4×C43—21no—
416C2×C42×C43—21no—
417C2×C42×C43—21no—
418C2×C42×C43—21no—
419C2×C42×C43C2311yescharacteristic
420C2×C42×C43C2311yescharacteristic
421C2×C42×C43C2311yescharacteristic
422#107×C43C2311yescharacteristic
423#107×C43C2311yescharacteristic
424#107×C43C2311yescharacteristic
425#107×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#102×C43C2311yescharacteristic
457#102×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
480#97×C43C2311yescharacteristic
481#97×C43C2311yescharacteristic
482C4×C8×C43C2311yescharacteristic
483C4×C8×C43C2311yescharacteristic
484C24×C43—21no—
485C24×C43—21no—
486#41×C43—22no—
487#41×C43—22no—
488#41×C43—42no—
489#41×C43—41no—
490#41×C43—41no—
491#41×C43—44no—
492#41×C43—41no—
493#41×C43—41no—
494#41×C43—41no—
495#41×C43—41no—
496C2×Q8×C43—21no—
497C2×Q8×C43—21no—
498C2×Q8×C43—21no—
499C2×Q8×C43—21no—
500C2×Q8×C43—22no—
501C2×Q8×C43—41no—
502C2×Q8×C43—41no—
503C2×Q8×C43—41no—
504C2×Q8×C43—41no—
505C2×Q8×C43—41no—
506C2×Q8×C43C2×D411yescharacteristic
507C2×Q8×C43C2411yescharacteristic
508C2×Q8×C43C2411yescharacteristic
509C2×Q8×C43C2411yescharacteristic
510C2×Q8×C43C2411yescharacteristic
511C2×Q8×C43C2411yescharacteristic
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—21no—
526C2×D4×C43—21no—
527C2×D4×C43—21no—
528C2×D4×C43—21no—
529C2×D4×C43—44no—
530C2×D4×C43—41no—
531C2×D4×C43—41no—
532C2×D4×C43—41no—
533C2×D4×C43—41no—
534C2×D4×C43C2×D411yescharacteristic
535C2×D4×C43C2×D411yescharacteristic
536C2×D4×C43C2×D411yescharacteristic
537C2×D4×C43C2411yescharacteristic
538C2×D4×C43C2411yescharacteristic
539C2×D4×C43C2411yescharacteristic
540C2×D4×C43C2411yescharacteristic
541C2×D4×C43C2411yescharacteristic
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×C43C2×D411yescharacteristic
558C22×C4×C43C2×D411yescharacteristic
559C22×C4×C43C2×D411yescharacteristic
560C22×C4×C43C2×D411yescharacteristic
561C22×C4×C43C2×D411yescharacteristic
562C22×C4×C43C2×D411yescharacteristic
563C22×C4×C43C2411yescharacteristic
564C22×C4×C43C2411yescharacteristic
565C22×C4×C43C2411yescharacteristic
566Q16×C43—22no—
567Q16×C43—22no—
568Q16×C43—22no—
569Q16×C43—41no—
570Q16×C43—41no—
571Q16×C43—41no—
572SD16×C43—22no—
573SD16×C43—22no—
574SD16×C43—22no—
575SD16×C43—41no—
576SD16×C43—41no—
577SD16×C43—41no—
578SD16×C43—41no—
579SD16×C43—41no—
580SD16×C43—41no—
581SD16×C43—41no—
582SD16×C43—41no—
583SD16×C43—41no—
584D8×C43—41no—
585D8×C43—41no—
586D8×C43—41no—
587D8×C43—41no—
588D8×C43—41no—
589D8×C43—41no—
590M16×C43—41no—
591M16×C43—41no—
592C2×C8×C43—41no—
593C2×C8×C43—41no—
594C2×C8×C43—41no—
595C2×C8×C43—41no—
596C2×C8×C43C2411yescharacteristic
597C2×C8×C43C2411yescharacteristic
598C2×C8×C43C2411yescharacteristic
599C2×C8×C43C2411yescharacteristic
600C2×C8×C43C2411yescharacteristic
601C2×C8×C43C2411yescharacteristic
602C2×C8×C43C2411yescharacteristic
603C2×C8×C43C2411yescharacteristic
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×C43C2411yescharacteristic
635C4⋊C4×C43C2411yescharacteristic
636C4⋊C4×C43C2411yescharacteristic
637C4⋊C4×C43C2411yescharacteristic
638C4⋊C4×C43C2411yescharacteristic
639C4⋊C4×C43C2411yescharacteristic
640C22⋊C4×C43—21no—
641C22⋊C4×C43—21no—
642C22⋊C4×C43—21no—
643C22⋊C4×C43—21no—
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×C43C2×D411yescharacteristic
680C22⋊C4×C43C2×D411yescharacteristic
681C22⋊C4×C43C2×D411yescharacteristic
682C22⋊C4×C43C2×D411yescharacteristic
683C22⋊C4×C43C2×D411yescharacteristic
684C22⋊C4×C43C2×D411yescharacteristic
685C42×C43—21no—
686C42×C43—21no—
687C42×C43—21no—
688C42×C43—21no—
689C42×C43—21no—
690C42×C43—21no—
691C42×C43—21no—
692C42×C43—21no—
693C42×C43—21no—
694C42×C43—21no—
695C42×C43—21no—
696C42×C43C2×D411yescharacteristic
697C42×C43C2×D411yescharacteristic
698C42×C43C2×D411yescharacteristic
699C42×C43C2×D411yescharacteristic
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—81no—
714C23×C43—81no—
715C23×C43—81no—
716C23×C43—81no—
717C23×C43C22×D411yescharacteristic
718C23×C43C22×D411yescharacteristic
719C23×C43C22×D411yescharacteristic
720Q8×C43—21no—
721Q8×C43—21no—
722Q8×C43—21no—
723Q8×C43—21no—
724Q8×C43—21no—
725Q8×C43—21no—
726Q8×C43—21no—
727Q8×C43—21no—
728Q8×C43—21no—
729Q8×C43—41no—
730Q8×C43—42no—
731Q8×C43—42no—
732Q8×C43—81no—
733Q8×C43—81no—
734Q8×C43H(5,𝔽2)12yes—
735D4×C43—22no—
736D4×C43—22no—
737D4×C43—21no—
738D4×C43—21no—
739D4×C43—21no—
740D4×C43—21no—
741D4×C43—21no—
742D4×C43—21no—
743D4×C43—21no—
744D4×C43—21no—
745D4×C43—21no—
746D4×C43—21no—
747D4×C43—41no—
748D4×C43—42no—
749D4×C43—42no—
750D4×C43—42no—
751D4×C43—42no—
752D4×C43—42no—
753D4×C43—42no—
754D4×C43—42no—
755D4×C43—42no—
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—
765C2×C4×C43—22no—
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—41no—
784C2×C4×C43—41no—
785C2×C4×C43—41no—
786C2×C4×C43—41no—
787C2×C4×C43—41no—
788C2×C4×C43—42no—
789C2×C4×C43—42no—
790C2×C4×C43—42no—
791C2×C4×C43—42no—
792C2×C4×C43—42no—
793C2×C4×C43—42no—
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#61992C4311yesmaximal, characteristic, direct product factor, Sylow
824C22×C43—21no—
825C22×C43—21no—
826C22×C43—21no—
827C22×C43—21no—
828C22×C43—21no—
829C22×C43—21no—
830C22×C43—21no—
831C22×C43—21no—
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—162no—
848C22×C43—162no—
849C22×C43#57512yes—
850C22×C43C23×D411yescharacteristic
851C4×C43—21no—
852C4×C43—21no—
853C4×C43—21no—
854C4×C43—21no—
855C4×C43—21no—
856C4×C43—21no—
857C4×C43—21no—
858C4×C43—22no—
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×C43C2×H(5,𝔽2)11yescharacteristic
874C4×C43#58511yescharacteristic
875#3514C2×C4311yescharacteristic, complemented
876#3480C2×C4311yescharacteristic, complemented
877#3403C2×C4311yescharacteristic, complemented
878#3401C2×C4311yescharacteristic, complemented
879#3377C2×C4311yescharacteristic, complemented
880#3371C2×C4311yescharacteristic, complemented
881#3320C2×C4311yescharacteristic, complemented
882#3318C2×C4311yescharacteristic, complemented
883#3313C2×C4311yescharacteristic, complemented
884#3311C2×C4311yescharacteristic, complemented
885#3301C2×C4311yescharacteristic, complemented
886#3297C2×C4311yescharacteristic, complemented
887#3285C2×C4311yescharacteristic, complemented
888#3282C2×C4311yescharacteristic, complemented
889#3271C2×C4311yescharacteristic, complemented
890#3270C2×C4311yescharacteristic, complemented
891#3268C2×C4311yescharacteristic, complemented
892#3265C2×C4311yescharacteristic, complemented
893#3256C2×C4311yescharacteristic, complemented
894#3250C2×C4311yescharacteristic, complemented
895#3247C2×C4311yescharacteristic, complemented
896#3219C2×C4311yescharacteristic, complemented
897#3213C2×C4311yescharacteristic, complemented
898#3211C2×C4311yescharacteristic, complemented
899#3117C2×C4311yescharacteristic, complemented
900#3111C2×C4311yescharacteristic, complemented
901#3102C2×C4311yescharacteristic, complemented
902#3040C2×C4311yescharacteristic, complemented
903#3035C2×C4311yescharacteristic, complemented
904C2×#464C2×C4311yescharacteristic, complemented
905#2990C2×C4311yescharacteristic, complemented
906C2×C43—22no—
907C2×C43—41no—
908C2×C43—41no—
909C2×C43—81no—
910C2×C43—81no—
911C2×C43—81no—
912C2×C43—81no—
913C2×C43—81no—
914C2×C43#348811yescharacteristic
915C2×C43C2×#57511yescharacteristic
916C2×C43#358411yescharacteristic
917C2×#137C22×C4311yescharacteristic, complemented
918C2×AGL(1,ℤ/8)C22×C4311yescharacteristic
919C2×#135C22×C4311yescharacteristic, complemented
920C2×#135C22×C4311yescharacteristic, complemented
921C22×Q16C22×C4311yescharacteristic, complemented
922C22×SD16C22×C4311yescharacteristic
923#559—21no—
924#559C22×C4311yescharacteristic
925#559C22×C4311yescharacteristic, complemented
926#557C22×C4311yescharacteristic, complemented
927#556—21no—
928#556C22×C4311yescharacteristic
929#556C22×C4311yescharacteristic, complemented
930#555—21no—
931#553—21no—
932#553—21no—
933#553C22×C4311yescharacteristic
934#553C22×C4311yescharacteristic, complemented
935#551—21no—
936#551—21no—
937#550C22×C4311yescharacteristic, complemented
938D4×Q8C22×C4311yescharacteristic
939#548C22×C4311yescharacteristic
940#548C22×C4311yescharacteristic
941#548C22×C4311yescharacteristic
942#548C22×C4311yescharacteristic, complemented
943#546—21no—
944#546C22×C4311yescharacteristic
945#546C22×C4311yescharacteristic
946D42C22×C4311yescharacteristic
947#542—21no—
948#538—21no—
949#538—21no—
950#532—21no—
951#532C22×C4311yescharacteristic
952#532C22×C4311yescharacteristic, complemented
953#529—21no—
954#529—21no—
955#529C22×C4311yescharacteristic
956#529C22×C4311yescharacteristic
957#529C22×C4311yescharacteristic
958#529C22×C4311yescharacteristic, complemented
959#529C22×C4311yescharacteristic, complemented
960C2×#124C22×C4311yescharacteristic
961C2×#124C22×C4311yescharacteristic
962#518—21no—
963C4×#41—21no—
964C4×#41C22×C4311yescharacteristic
965C4×#41C22×C4311yescharacteristic, complemented
966C4×#41C22×C4311yescharacteristic, complemented
967C2×C4×Q8C22×C4311yescharacteristic, complemented
968#497C22×C4311yescharacteristic, complemented
969#496C22×C4311yescharacteristic
970#496C22×C4311yescharacteristic
971#496C22×C4311yescharacteristic, complemented
972#495C22×C4311yescharacteristic
973#495C22×C4311yescharacteristic, complemented
974#491C22×C4311yescharacteristic, complemented
975#490C22×C4311yescharacteristic
976#489C22×C4311yescharacteristic
977#489C22×C4311yescharacteristic, complemented
978#488C22×C4311yescharacteristic
979#488C22×C4311yescharacteristic, complemented
980#485C22×C4311yescharacteristic, complemented
981#485C22×C4311yescharacteristic, complemented
982#484C22×C4311yescharacteristic, complemented
983#482C22×C4311yescharacteristic
984#482C22×C4311yescharacteristic
985#481C22×C4311yescharacteristic
986#479C22×C4311yescharacteristic, complemented
987#479C22×C4311yescharacteristic, complemented
988#479C22×C4311yescharacteristic, complemented
989#479C22×C4311yescharacteristic, complemented
990#478C22×C4311yescharacteristic
991#478C22×C4311yescharacteristic, complemented
992#478C22×C4311yescharacteristic, complemented
993#478C22×C4311yescharacteristic, complemented
994#477C22×C4311yescharacteristic, complemented
995#476C22×C4311yescharacteristic, complemented
996#470C22×C4311yescharacteristic, complemented
997#469C22×C4311yescharacteristic
998#468C22×C4311yescharacteristic
999#468C22×C4311yescharacteristic, complemented
1000#467C22×C4311yescharacteristic, complemented
1001#466C22×C4311yescharacteristic
1002#466C22×C4311yescharacteristic
1003#466C22×C4311yescharacteristic
1004#465C22×C4311yescharacteristic
1005#465C22×C4311yescharacteristic, complemented
1006#465C22×C4311yescharacteristic, complemented
1007#465C22×C4311yescharacteristic, complemented
1008#464C22×C4311yescharacteristic
1009#464C22×C4311yescharacteristic
1010#464C22×C4311yescharacteristic
1011#464C22×C4311yescharacteristic
1012#464C22×C4311yescharacteristic
1013#464C22×C4311yescharacteristic, complemented
1014#464C22×C4311yescharacteristic, complemented
1015#464C22×C4311yescharacteristic, complemented
1016#464C22×C4311yescharacteristic, complemented
1017#464C22×C4311yescharacteristic, complemented
1018#464C22×C4311yescharacteristic, complemented
1019#464C22×C4311yescharacteristic, complemented
1020#464C22×C4311yescharacteristic, complemented
1021#464C22×C4311yescharacteristic, complemented
1022#463C22×C4311yescharacteristic
1023#463C22×C4311yescharacteristic
1024#463C22×C4311yescharacteristic
1025#463C22×C4311yescharacteristic
1026#463C22×C4311yescharacteristic, complemented
1027#463C22×C4311yescharacteristic, complemented
1028#463C22×C4311yescharacteristic, complemented
1029#463C22×C4311yescharacteristic, complemented
1030#463C22×C4311yescharacteristic, complemented
1031#463C22×C4311yescharacteristic, complemented
1032#462C22×C4311yescharacteristic, complemented
1033#461C22×C4311yescharacteristic, complemented
1034#460C22×C4311yescharacteristic
1035#460C22×C4311yescharacteristic, complemented
1036#459C22×C4311yescharacteristic
1037#459C22×C4311yescharacteristic, complemented
1038#452C22×C4311yescharacteristic, complemented
1039#452C22×C4311yescharacteristic, complemented
1040#452C22×C4311yescharacteristic, complemented
1041#452C22×C4311yescharacteristic, complemented
1042#451C22×C4311yescharacteristic, complemented
1043#451C22×C4311yescharacteristic, complemented
1044#450C22×C4311yescharacteristic
1045#449C22×C4311yescharacteristic
1046#449C22×C4311yescharacteristic
1047#449C22×C4311yescharacteristic, complemented
1048#449C22×C4311yescharacteristic, complemented
1049#448C22×C4311yescharacteristic
1050#448C22×C4311yescharacteristic, complemented
1051#448C22×C4311yescharacteristic, complemented
1052#448C22×C4311yescharacteristic, complemented
1053#447C22×C4311yescharacteristic
1054#447C22×C4311yescharacteristic
1055#447C22×C4311yescharacteristic
1056#446C22×C4311yescharacteristic, complemented
1057#446C22×C4311yescharacteristic, complemented
1058#442C22×C4311yescharacteristic
1059#441C22×C4311yescharacteristic, complemented
1060#441C22×C4311yescharacteristic, complemented
1061#441C22×C4311yescharacteristic, complemented
1062#440C22×C4311yescharacteristic
1063#440C22×C4311yescharacteristic, complemented
1064#440C22×C4311yescharacteristic, complemented
1065#440C22×C4311yescharacteristic, complemented
1066C4×Q16C22×C4311yescharacteristic, complemented
1067C4×SD16C22×C4311yescharacteristic, complemented
1068C4×SD16C22×C4311yescharacteristic, complemented
1069C4×D8C22×C4311yescharacteristic, complemented
1070#435C22×C4311yescharacteristic
1071#435C22×C4311yescharacteristic
1072#435C22×C4311yescharacteristic, complemented
1073#435C22×C4311yescharacteristic, complemented
1074C8×D4C22×C4311yescharacteristic, complemented
1075C8×D4C22×C4311yescharacteristic, complemented
1076#432C22×C4311yescharacteristic, complemented
1077#432C22×C4311yescharacteristic, complemented
1078#431C22×C4311yescharacteristic, complemented
1079#423C22×C4311yescharacteristic, complemented
1080C2×C4⋊C8C22×C4311yescharacteristic, complemented
1081C2×C4⋊C8C22×C4311yescharacteristic, complemented
1082#419C22×C4311yescharacteristic, complemented
1083#418C22×C4311yescharacteristic
1084#416C22×C4311yescharacteristic, complemented
1085#416C22×C4311yescharacteristic, complemented
1086C2×#103C22×C4311yescharacteristic, complemented
1087C2×#102C22×C4311yescharacteristic
1088C43#6199211yescharacteristic, direct product factor, Sylow
1089C2×#41—21no—
1090C2×#41D4×C4311yescharacteristic
1091C2×#41C23×C4311yescharacteristic
1092C2×#41C23×C4311yescharacteristic
1093C2×#41C23×C4311yescharacteristic
1094C2×#41C23×C4311yescharacteristic
1095C22×Q8C23×C4311yescharacteristic
1096C22×Q8C23×C4311yescharacteristic
1097C22×Q8C23×C4311yescharacteristic
1098C22×D4—21no—
1099C22×D4C23×C4311yescharacteristic
1100C22×D4C23×C4311yescharacteristic
1101#137—42no—
1102AGL(1,ℤ/8)—42no—
1103#135—42no—
1104#135—42no—
1105C2×Q16—42no—
1106C2×Q16C23×C4311yescharacteristic
1107C2×Q16C23×C4311yescharacteristic
1108C2×Q16C23×C4311yescharacteristic
1109C2×Q16C23×C4311yescharacteristic
1110C2×Q16C23×C4311yescharacteristic
1111C2×Q16C23×C4311yescharacteristic
1112C2×SD16—42no—
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×D8C23×C4311yescharacteristic
1126C2×D8C23×C4311yescharacteristic
1127C2×D8C23×C4311yescharacteristic
1128C2×D8C23×C4311yescharacteristic
1129C2×D8C23×C4311yescharacteristic
1130C2×D8C23×C4311yescharacteristic
1131C2×M16C23×C4311yescharacteristic
1132C2×M16C23×C4311yescharacteristic
1133C22×C8C23×C4311yescharacteristic
1134C22×C8C23×C4311yescharacteristic
1135C22×C8C23×C4311yescharacteristic
1136C22×C8C23×C4311yescharacteristic
1137C4⋊Q8—21no—
1138C4⋊Q8—21no—
1139C4⋊Q8C23×C4311yescharacteristic
1140C4⋊Q8C23×C4311yescharacteristic
1141#127—21no—
1142#127C23×C4311yescharacteristic
1143#127C23×C4311yescharacteristic
1144#126—21no—
1145#126—21no—
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#125—21no—
1156#125—21no—
1157#125C23×C4311yescharacteristic
1158#125C23×C4311yescharacteristic
1159#125C23×C4311yescharacteristic
1160#124—21no—
1161#124—21no—
1162#124—21no—
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#124—21no—
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#124C23×C4311yescharacteristic
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—
1194C22⋊Q8—21no—
1195C22⋊Q8—21no—
1196C22⋊Q8—21no—
1197C22⋊Q8—21no—
1198C22⋊Q8—21no—
1199C22⋊Q8—21no—
1200C22⋊Q8—21no—
1201C22⋊Q8C23×C4311yescharacteristic
1202C22⋊Q8C23×C4311yescharacteristic
1203C22⋊Q8C23×C4311yescharacteristic
1204C22⋊Q8C23×C4311yescharacteristic
1205C22⋊Q8C23×C4311yescharacteristic
1206#121—21no—
1207#121—21no—
1208#121—21no—
1209#121—21no—
1210#121—21no—
1211#121—21no—
1212#121—21no—
1213#121—21no—
1214#121—21no—
1215#121—21no—
1216#121—21no—
1217#121—21no—
1218#121—21no—
1219#121—21no—
1220#121C23×C4311yescharacteristic
1221#121C23×C4311yescharacteristic
1222#121C23×C4311yescharacteristic
1223#121C23×C4311yescharacteristic
1224#121C23×C4311yescharacteristic
1225#121C23×C4311yescharacteristic
1226#121C23×C4311yescharacteristic
1227#120—21no—
1228#120—21no—
1229#120—21no—
1230#120—21no—
1231C4×Q8—21no—
1232C4×Q8—21no—
1233C4×Q8—21no—
1234C4×Q8—21no—
1235C4×Q8D4×C4311yescharacteristic
1236C4×Q8C23×C4311yescharacteristic
1237C4×Q8C23×C4311yescharacteristic
1238C4×Q8C23×C4311yescharacteristic
1239C4×Q8C23×C4311yescharacteristic
1240C4×Q8C23×C4311yescharacteristic
1241C4×Q8C23×C4311yescharacteristic
1242C4×Q8C23×C4311yescharacteristic
1243C4×Q8C23×C4311yescharacteristic
1244C4×Q8C23×C4311yescharacteristic
1245C4×Q8C23×C4311yescharacteristic
1246C4×D4—21no—
1247C4×D4—21no—
1248C4×D4—21no—
1249C4×D4—21no—
1250C4×D4—21no—
1251C4×D4—21no—
1252C4×D4—21no—
1253C4×D4—21no—
1254C4×D4—21no—
1255C4×D4—21no—
1256C4×D4—21no—
1257C4×D4—21no—
1258C4×D4—21no—
1259C4×D4—21no—
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×D4D4×C4311yescharacteristic
1269C4×D4D4×C4311yescharacteristic
1270C4×D4D4×C4311yescharacteristic
1271C4×D4C23×C4311yescharacteristic
1272C4×D4C23×C4311yescharacteristic
1273C4×D4C23×C4311yescharacteristic
1274C4×D4C23×C4311yescharacteristic
1275C4×D4C23×C4311yescharacteristic
1276C4×D4C23×C4311yescharacteristic
1277C4×D4C23×C4311yescharacteristic
1278C4×D4C23×C4311yescharacteristic
1279C4×D4C23×C4311yescharacteristic
1280C4×D4C23×C4311yescharacteristic
1281#117—21no—
1282#117—21no—
1283#117—21no—
1284#117—21no—
1285#117—21no—
1286#117—21no—
1287#117—21no—
1288#117—21no—
1289#117D4×C4311yescharacteristic
1290#117D4×C4311yescharacteristic
1291#117D4×C4311yescharacteristic
1292#117C23×C4311yescharacteristic
1293#117C23×C4311yescharacteristic
1294C2×C4⋊C4—21no—
1295C2×C4⋊C4C23×C4311yescharacteristic
1296C2×C22⋊C4—21no—
1297C2×C22⋊C4—21no—
1298C2×C22⋊C4—21no—
1299C2×C22⋊C4—21no—
1300C2×C22⋊C4—21no—
1301C2×C22⋊C4—21no—
1302C2×C42—21no—
1303C2×C42—21no—
1304C2×C42—21no—
1305C2×C42C23×C4311yescharacteristic
1306C2×C42C23×C4311yescharacteristic
1307C2×C42C23×C4311yescharacteristic
1308#107C23×C4311yescharacteristic
1309#107C23×C4311yescharacteristic
1310#107C23×C4311yescharacteristic
1311#107C23×C4311yescharacteristic
1312#106C23×C4311yescharacteristic
1313#106C23×C4311yescharacteristic
1314#106C23×C4311yescharacteristic
1315#106C23×C4311yescharacteristic
1316C4⋊C8C23×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
1326#103C23×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#102C23×C4311yescharacteristic
1343#102C23×C4311yescharacteristic
1344#102C23×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
1358C22⋊C8C23×C4311yescharacteristic
1359C22⋊C8C23×C4311yescharacteristic
1360C22⋊C8C23×C4311yescharacteristic
1361C22⋊C8C23×C4311yescharacteristic
1362C22⋊C8C23×C4311yescharacteristic
1363C22⋊C8C23×C4311yescharacteristic
1364#97C23×C4311yescharacteristic
1365#97C23×C4311yescharacteristic
1366#97C23×C4311yescharacteristic
1367#97C23×C4311yescharacteristic
1368C4×C8C23×C4311yescharacteristic
1369C4×C8C23×C4311yescharacteristic
1370C24—21no—
1371C24—21no—
1372#41—22no—
1373#41—22no—
1374#41—42no—
1375#41—41no—
1376#41—41no—
1377#41—44no—
1378#41—41no—
1379#41—41no—
1380#41—41no—
1381#41—41no—
1382C2×Q8—21no—
1383C2×Q8—21no—
1384C2×Q8—21no—
1385C2×Q8—21no—
1386C2×Q8—22no—
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—21no—
1399C2×D4—21no—
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—21no—
1415C2×D4—41no—
1416C2×D4—41no—
1417C2×D4—41no—
1418C2×D4—41no—
1419C2×D4—44no—
1420C2×D4C2×D4×C4311yescharacteristic
1421C2×D4C2×D4×C4311yescharacteristic
1422C2×D4C2×D4×C4311yescharacteristic
1423C2×D4C24×C4311yescharacteristic
1424C2×D4C24×C4311yescharacteristic
1425C2×D4C24×C4311yescharacteristic
1426C2×D4C24×C4311yescharacteristic
1427C2×D4C24×C4311yescharacteristic
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×C4C2×D4×C4311yescharacteristic
1444C22×C4C2×D4×C4311yescharacteristic
1445C22×C4C2×D4×C4311yescharacteristic
1446C22×C4C2×D4×C4311yescharacteristic
1447C22×C4C2×D4×C4311yescharacteristic
1448C22×C4C2×D4×C4311yescharacteristic
1449C22×C4C24×C4311yescharacteristic
1450C22×C4C24×C4311yescharacteristic
1451C22×C4C24×C4311yescharacteristic
1452Q16—22no—
1453Q16—22no—
1454Q16—22no—
1455Q16—41no—
1456Q16—41no—
1457Q16—41no—
1458SD16—22no—
1459SD16—22no—
1460SD16—22no—
1461SD16—41no—
1462SD16—41no—
1463SD16—41no—
1464SD16—41no—
1465SD16—41no—
1466SD16—41no—
1467SD16—41no—
1468SD16—41no—
1469SD16—41no—
1470D8—41no—
1471D8—41no—
1472D8—41no—
1473D8—41no—
1474D8—41no—
1475D8—41no—
1476M16—41no—
1477M16—41no—
1478C2×C8—41no—
1479C2×C8—41no—
1480C2×C8—41no—
1481C2×C8—41no—
1482C2×C8C24×C4311yescharacteristic
1483C2×C8C24×C4311yescharacteristic
1484C2×C8C24×C4311yescharacteristic
1485C2×C8C24×C4311yescharacteristic
1486C2×C8C24×C4311yescharacteristic
1487C2×C8C24×C4311yescharacteristic
1488C2×C8C24×C4311yescharacteristic
1489C2×C8C24×C4311yescharacteristic
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⋊C4C2×D4×C4311yescharacteristic
1515C4⋊C4C2×D4×C4311yescharacteristic
1516C4⋊C4C2×D4×C4311yescharacteristic
1517C4⋊C4C2×D4×C4311yescharacteristic
1518C4⋊C4C2×D4×C4311yescharacteristic
1519C4⋊C4C2×D4×C4311yescharacteristic
1520C4⋊C4C24×C4311yescharacteristic
1521C4⋊C4C24×C4311yescharacteristic
1522C4⋊C4C24×C4311yescharacteristic
1523C4⋊C4C24×C4311yescharacteristic
1524C4⋊C4C24×C4311yescharacteristic
1525C4⋊C4C24×C4311yescharacteristic
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
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⋊C4C2×D4×C4311yescharacteristic
1566C22⋊C4C2×D4×C4311yescharacteristic
1567C22⋊C4C2×D4×C4311yescharacteristic
1568C22⋊C4C2×D4×C4311yescharacteristic
1569C22⋊C4C2×D4×C4311yescharacteristic
1570C22⋊C4C2×D4×C4311yescharacteristic
1571C42—21no—
1572C42—21no—
1573C42—21no—
1574C42—21no—
1575C42—21no—
1576C42—21no—
1577C42—21no—
1578C42—21no—
1579C42—21no—
1580C42—21no—
1581C42—21no—
1582C42C2×D4×C4311yescharacteristic
1583C42C2×D4×C4311yescharacteristic
1584C42C2×D4×C4311yescharacteristic
1585C42C2×D4×C4311yescharacteristic
1586C42C2×D4×C4311yescharacteristic
1587C42C2×D4×C4311yescharacteristic
1588C42C24×C4311yescharacteristic
1589C42C24×C4311yescharacteristic
1590C42C24×C4311yescharacteristic
1591C42C24×C4311yescharacteristic
1592C23—21no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—42no—
1598C23—42no—
1599C23—81no—
1600C23—81no—
1601C23—81no—
1602C23—81no—
1603C23C22×D4×C4311yescharacteristic
1604C23C22×D4×C4311yescharacteristic
1605C23C22×D4×C4311yescharacteristic
1606Q8—21no—
1607Q8—21no—
1608Q8—21no—
1609Q8—21no—
1610Q8—21no—
1611Q8—21no—
1612Q8—21no—
1613Q8—21no—
1614Q8—21no—
1615Q8—41no—
1616Q8—42no—
1617Q8—42no—
1618Q8—81no—
1619Q8—81no—
1620Q8H(5,𝔽2)×C4312yes—
1621D4—22no—
1622D4—22no—
1623D4—21no—
1624D4—21no—
1625D4—21no—
1626D4—21no—
1627D4—21no—
1628D4—21no—
1629D4—21no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—41no—
1634D4—42no—
1635D4—42no—
1636D4—42no—
1637D4—42no—
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—
1651C2×C4—22no—
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—41no—
1670C2×C4—41no—
1671C2×C4—41no—
1672C2×C4—41no—
1673C2×C4—41no—
1674C2×C4—42no—
1675C2×C4—42no—
1676C2×C4—42no—
1677C2×C4—42no—
1678C2×C4—42no—
1679C2×C4—42no—
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×C4C22×D4×C4311yescharacteristic
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×C4C25×C4311yescharacteristic
1701C8—21no—
1702C8—21no—
1703C8—21no—
1704C8—21no—
1705C8—21no—
1706C8—21no—
1707C8—21no—
1708C8—21no—
1709C22—21no—
1710C22—21no—
1711C22—21no—
1712C22—21no—
1713C22—21no—
1714C22—21no—
1715C22—21no—
1716C22—21no—
1717C22—41no—
1718C22—41no—
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—162no—
1733C22—162no—
1734C22C43×#57512yes—
1735C22C23×D4×C4311yescharacteristic
1736C4—21no—
1737C4—21no—
1738C4—21no—
1739C4—22no—
1740C4—21no—
1741C4—21no—
1742C4—21no—
1743C4—21no—
1744C4—21no—
1745C4—21no—
1746C4—21no—
1747C4—21no—
1748C4—41no—
1749C4—41no—
1750C4—41no—
1751C4—41no—
1752C4—41no—
1753C4—41no—
1754C4—41no—
1755C4—41no—
1756C4—41no—
1757C4—41no—
1758C4C2×H(5,𝔽2)×C4311yescharacteristic
1759C4C43×#58511yescharacteristic
1760C2—22no—
1761C2—41no—
1762C2—41no—
1763C2—81no—
1764C2—81no—
1765C2—81no—
1766C2—81no—
1767C2—81no—
1768C2C43×#348811yescharacteristic
1769C2C2×C43×#57511yescharacteristic
1770C2C43×#358411yescharacteristic
subgroupG/H
center, socleC22×C43C23×D4
commutator, Frattini, cosocleC2×C4C25×C43
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C43 ◁ C4×#41×C43 ◁ G

Complements

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

NH ≅ G/Ntype
1. C43×#3514C2semidirect
2. C43×#3480C2semidirect
3. C43×#3403C2semidirect
4. C43×#3401C2semidirect
5. C43×#3377C2semidirect
6. C43×#3371C2semidirect
7. C43×#3320C2semidirect
8. C43×#3318C2semidirect
9. C43×#3313C2semidirect
10. C43×#3311C2semidirect
11. C43×#3301C2semidirect
12. C43×#3297C2semidirect
13. C43×#3285C2semidirect
14. C43×#3282C2semidirect
15. C43×#3271C2semidirect
16. C43×#3270C2semidirect
17. C43×#3268C2semidirect
18. C43×#3265C2semidirect
19. C43×#3256C2semidirect
20. C43×#3250C2semidirect
21. C43×#3247C2semidirect
22. C43×#3219C2semidirect
23. C43×#3213C2semidirect
24. C43×#3211C2semidirect
25. C43×#3117C2semidirect
26. C43×#3111C2semidirect
27. C43×#3102C2semidirect
28. C43×#3040C2semidirect
29. C43×#3035C2semidirect
30. C2×C43×#464C2semidirect
31. C43×#2990C2semidirect
32. C2×#137×C43C22semidirect
34. C2×#135×C43C22semidirect
35. C2×#135×C43C22semidirect
36. C22×Q16×C43C22semidirect
40. C43×#559C22semidirect
41. C43×#557C22semidirect
44. C43×#556C22semidirect
49. C43×#553C22semidirect
52. C43×#550C22semidirect
57. C43×#548C22semidirect
67. C43×#532C22semidirect
73. C43×#529C22semidirect
74. C43×#529C22semidirect
80. C4×#41×C43C22semidirect
81. C4×#41×C43C22semidirect
82. C2×C4×Q8×C43C22semidirect
83. C43×#497C22semidirect
86. C43×#496C22semidirect
88. C43×#495C22semidirect
89. C43×#491C22semidirect
92. C43×#489C22semidirect
94. C43×#488C22semidirect
95. C43×#485C22semidirect
96. C43×#485C22semidirect
97. C43×#484C22semidirect
101. C43×#479C22semidirect
102. C43×#479C22semidirect
103. C43×#479C22semidirect
104. C43×#479C22semidirect
106. C43×#478C22semidirect
107. C43×#478C22semidirect
108. C43×#478C22semidirect
109. C43×#477C22semidirect
110. C43×#476C22semidirect
111. C43×#470C22semidirect
114. C43×#468C22semidirect
115. C43×#467C22semidirect
120. C43×#465C22semidirect
121. C43×#465C22semidirect
122. C43×#465C22semidirect
128. C43×#464C22semidirect
129. C43×#464C22semidirect
130. C43×#464C22semidirect
131. C43×#464C22semidirect
132. C43×#464C22semidirect
133. C43×#464C22semidirect
134. C43×#464C22semidirect
135. C43×#464C22semidirect
136. C43×#464C22semidirect
141. C43×#463C22semidirect
142. C43×#463C22semidirect
143. C43×#463C22semidirect
144. C43×#463C22semidirect
145. C43×#463C22semidirect
146. C43×#463C22semidirect
147. C43×#462C22semidirect
148. C43×#461C22semidirect
150. C43×#460C22semidirect
152. C43×#459C22semidirect
153. C43×#452C22semidirect
154. C43×#452C22semidirect
155. C43×#452C22semidirect
156. C43×#452C22semidirect
157. C43×#451C22semidirect
158. C43×#451C22semidirect
162. C43×#449C22semidirect
163. C43×#449C22semidirect
165. C43×#448C22semidirect
166. C43×#448C22semidirect
167. C43×#448C22semidirect
171. C43×#446C22semidirect
172. C43×#446C22semidirect
174. C43×#441C22semidirect
175. C43×#441C22semidirect
176. C43×#441C22semidirect
178. C43×#440C22semidirect
179. C43×#440C22semidirect
180. C43×#440C22semidirect
181. C4×Q16×C43C22semidirect
182. C4×SD16×C43C22semidirect
183. C4×SD16×C43C22semidirect
184. C4×D8×C43C22semidirect
187. C43×#435C22semidirect
188. C43×#435C22semidirect
189. C8×D4×C43C22semidirect
190. C8×D4×C43C22semidirect
191. C43×#432C22semidirect
192. C43×#432C22semidirect
193. C43×#431C22semidirect
194. C43×#423C22semidirect
195. C2×C4⋊C8×C43C22semidirect
196. C2×C4⋊C8×C43C22semidirect
197. C43×#419C22semidirect
199. C43×#416C22semidirect
200. C43×#416C22semidirect
201. C2×#103×C43C22semidirect
823. #61992C43direct (N × H)
875. #3514C2×C43semidirect
876. #3480C2×C43semidirect
877. #3403C2×C43semidirect
878. #3401C2×C43semidirect
879. #3377C2×C43semidirect
880. #3371C2×C43semidirect
881. #3320C2×C43semidirect
882. #3318C2×C43semidirect
883. #3313C2×C43semidirect
884. #3311C2×C43semidirect
885. #3301C2×C43semidirect
886. #3297C2×C43semidirect
887. #3285C2×C43semidirect
888. #3282C2×C43semidirect
889. #3271C2×C43semidirect
890. #3270C2×C43semidirect
891. #3268C2×C43semidirect
892. #3265C2×C43semidirect
893. #3256C2×C43semidirect
894. #3250C2×C43semidirect
895. #3247C2×C43semidirect
896. #3219C2×C43semidirect
897. #3213C2×C43semidirect
898. #3211C2×C43semidirect
899. #3117C2×C43semidirect
900. #3111C2×C43semidirect
901. #3102C2×C43semidirect
902. #3040C2×C43semidirect
903. #3035C2×C43semidirect
904. C2×#464C2×C43semidirect
905. #2990C2×C43semidirect
917. C2×#137C22×C43semidirect
919. C2×#135C22×C43semidirect
920. C2×#135C22×C43semidirect
921. C22×Q16C22×C43semidirect
925. #559C22×C43semidirect
926. #557C22×C43semidirect
929. #556C22×C43semidirect
934. #553C22×C43semidirect
937. #550C22×C43semidirect
942. #548C22×C43semidirect
952. #532C22×C43semidirect
958. #529C22×C43semidirect
959. #529C22×C43semidirect
965. C4×#41C22×C43semidirect
966. C4×#41C22×C43semidirect
967. C2×C4×Q8C22×C43semidirect
968. #497C22×C43semidirect
971. #496C22×C43semidirect
973. #495C22×C43semidirect
974. #491C22×C43semidirect
977. #489C22×C43semidirect
979. #488C22×C43semidirect
980. #485C22×C43semidirect
981. #485C22×C43semidirect
982. #484C22×C43semidirect
986. #479C22×C43semidirect
987. #479C22×C43semidirect
988. #479C22×C43semidirect
989. #479C22×C43semidirect
991. #478C22×C43semidirect
992. #478C22×C43semidirect
993. #478C22×C43semidirect
994. #477C22×C43semidirect
995. #476C22×C43semidirect
996. #470C22×C43semidirect
999. #468C22×C43semidirect
1000. #467C22×C43semidirect
1005. #465C22×C43semidirect
1006. #465C22×C43semidirect
1007. #465C22×C43semidirect
1013. #464C22×C43semidirect
1014. #464C22×C43semidirect
1015. #464C22×C43semidirect
1016. #464C22×C43semidirect
1017. #464C22×C43semidirect
1018. #464C22×C43semidirect
1019. #464C22×C43semidirect
1020. #464C22×C43semidirect
1021. #464C22×C43semidirect
1026. #463C22×C43semidirect
1027. #463C22×C43semidirect
1028. #463C22×C43semidirect
1029. #463C22×C43semidirect
1030. #463C22×C43semidirect
1031. #463C22×C43semidirect
1032. #462C22×C43semidirect
1033. #461C22×C43semidirect
1035. #460C22×C43semidirect
1037. #459C22×C43semidirect
1038. #452C22×C43semidirect
1039. #452C22×C43semidirect
1040. #452C22×C43semidirect
1041. #452C22×C43semidirect
1042. #451C22×C43semidirect
1043. #451C22×C43semidirect
1047. #449C22×C43semidirect
1048. #449C22×C43semidirect
1050. #448C22×C43semidirect
1051. #448C22×C43semidirect
1052. #448C22×C43semidirect
1056. #446C22×C43semidirect
1057. #446C22×C43semidirect
1059. #441C22×C43semidirect
1060. #441C22×C43semidirect
1061. #441C22×C43semidirect
1063. #440C22×C43semidirect
1064. #440C22×C43semidirect
1065. #440C22×C43semidirect
1066. C4×Q16C22×C43semidirect
1067. C4×SD16C22×C43semidirect
1068. C4×SD16C22×C43semidirect
1069. C4×D8C22×C43semidirect
1072. #435C22×C43semidirect
1073. #435C22×C43semidirect
1074. C8×D4C22×C43semidirect
1075. C8×D4C22×C43semidirect
1076. #432C22×C43semidirect
1077. #432C22×C43semidirect
1078. #431C22×C43semidirect
1079. #423C22×C43semidirect
1080. C2×C4⋊C8C22×C43semidirect
1081. C2×C4⋊C8C22×C43semidirect
1082. #419C22×C43semidirect
1084. #416C22×C43semidirect
1085. #416C22×C43semidirect
1086. C2×#103C22×C43semidirect
1088. C43#61992direct (N × H)

Maximal subgroups

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

subgroupindex
C43×#35142
C43×#34802
C43×#34032
C43×#34012
C43×#33772
C43×#33712
C43×#33202
C43×#33182
C43×#33132
C43×#33112
C43×#33012
C43×#32972
C43×#32852
C43×#32822
C43×#32712
C43×#32702
C43×#32682
C43×#32652
C43×#32562
C43×#32502
C43×#32472
C43×#32192
C43×#32132
C43×#32112
C43×#31172
C43×#31112
C43×#31022
C43×#30402
C43×#30352
C2×C43×#4642
C43×#29902
#6199243