Finite Group Databasebeta

← C43×#61790 #24981807

Subgroups — C43×#61790 #24981807

Order 11008.

1706 conjugacy classes of subgroups.

The subgroup lattice has 1700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C43×#3551C211yesmaximal, characteristic, complemented
2C43×#3512C211yesmaximal, characteristic, complemented
3C43×#3355C211yesmaximal, characteristic, complemented
4C43×#3352C211yesmaximal, characteristic, complemented
5C43×#3351C211yesmaximal, characteristic, complemented
6C43×#3351C211yesmaximal, characteristic, complemented
7C43×#3339C211yesmaximal, characteristic, complemented
8C43×#3337C211yesmaximal, characteristic, complemented
9C43×#3337C211yesmaximal, characteristic, complemented
10C43×#3336C211yesmaximal, characteristic, complemented
11C43×#3327C211yesmaximal, characteristic, complemented
12C43×#3326C211yesmaximal, characteristic, complemented
13C43×#3323C211yesmaximal, characteristic, complemented
14C43×#3322C211yesmaximal, characteristic, complemented
15C43×#3301C211yesmaximal, characteristic, complemented
16C43×#3300C211yesmaximal, characteristic, complemented
17C43×#3297C211yesmaximal, characteristic, complemented
18C43×#3296C211yesmaximal, characteristic, complemented
19C43×#3232C211yesmaximal, characteristic, complemented
20C43×#3232C211yesmaximal, characteristic, complemented
21C43×#3204C211yesmaximal, characteristic, complemented
22C43×#3203C211yesmaximal, characteristic, complemented
23C43×#3201C211yesmaximal, characteristic, complemented
24C43×#3198C211yesmaximal, characteristic, complemented
25C43×#3102C211yesmaximal, characteristic, complemented
26C43×#3102C211yesmaximal, characteristic, complemented
27C43×#3099C211yesmaximal, characteristic, complemented
28C43×#3098C211yesmaximal, characteristic, complemented
29C43×#3097C211yesmaximal, characteristic, complemented
30C43×#3096C211yesmaximal, characteristic, complemented
31C43×#2979C211yesmaximal, characteristic, complemented
32C43×#563—21no—
33C43×#560—21no—
34C43×#555—21no—
35C43×#553—21no—
36C43×#553—21no—
37C43×#553—21no—
38C43×#553—21no—
39C43×#553C2211yescharacteristic
40C43×#553C2211yescharacteristic
41C43×#553C2211yescharacteristic
42C43×#553C2211yescharacteristic
43C43×#553C2211yescharacteristic, complemented
44C43×#553C2211yescharacteristic, complemented
45C43×#552C2211yescharacteristic
46C43×#552C2211yescharacteristic
47C43×#552C2211yescharacteristic
48C43×#552C2211yescharacteristic
49C43×#552C2211yescharacteristic, complemented
50C43×#552C2211yescharacteristic, complemented
51C43×#551—21no—
52C43×#548C2211yescharacteristic
53C43×#548C2211yescharacteristic
54C43×#546C2211yescharacteristic
55C43×#546C2211yescharacteristic
56C43×#541—21no—
57C43×#540—21no—
58C43×#540—21no—
59C43×#540—21no—
60C43×#538—21no—
61C43×#538—21no—
62C43×#537C2211yescharacteristic
63C43×#537C2211yescharacteristic
64C43×#537C2211yescharacteristic
65C43×#537C2211yescharacteristic, complemented
66C43×#536C2211yescharacteristic
67C43×#535C2211yescharacteristic
68C43×#532C2211yescharacteristic
69C43×#529—21no—
70C43×#529—21no—
71C43×#529C2211yescharacteristic
72C43×#529C2211yescharacteristic
73C2×#125×C43C2211yescharacteristic, complemented
74C43×#520C2211yescharacteristic
75C43×#520C2211yescharacteristic, complemented
76C4×#41×C43C2211yescharacteristic, complemented
77C43×#499C2211yescharacteristic, complemented
78C43×#499C2211yescharacteristic, complemented
79C43×#499C2211yescharacteristic, complemented
80C43×#499C2211yescharacteristic, complemented
81C43×#488C2211yescharacteristic
82C43×#488C2211yescharacteristic
83C43×#488C2211yescharacteristic
84C43×#488C2211yescharacteristic
85C43×#485C2211yescharacteristic
86C43×#485C2211yescharacteristic
87C43×#485C2211yescharacteristic
88C43×#485C2211yescharacteristic, complemented
89C43×#485C2211yescharacteristic, complemented
90C43×#485C2211yescharacteristic, complemented
91C43×#485C2211yescharacteristic, complemented
92C43×#485C2211yescharacteristic, complemented
93C43×#484C2211yescharacteristic
94C43×#484C2211yescharacteristic, complemented
95C43×#484C2211yescharacteristic, complemented
96C43×#484C2211yescharacteristic, complemented
97C43×#484C2211yescharacteristic, complemented
98C43×#483C2211yescharacteristic
99C43×#483C2211yescharacteristic, complemented
100C43×#483C2211yescharacteristic, complemented
101C43×#483C2211yescharacteristic, complemented
102C43×#483C2211yescharacteristic, complemented
103C43×#482C2211yescharacteristic
104C43×#482C2211yescharacteristic
105C43×#482C2211yescharacteristic
106C43×#482C2211yescharacteristic
107C43×#482C2211yescharacteristic
108C43×#482C2211yescharacteristic
109C43×#482C2211yescharacteristic
110C43×#482C2211yescharacteristic, complemented
111C43×#481C2211yescharacteristic
112C43×#481C2211yescharacteristic
113C43×#481C2211yescharacteristic
114C43×#481C2211yescharacteristic
115C43×#481C2211yescharacteristic, complemented
116C43×#480C2211yescharacteristic
117C43×#480C2211yescharacteristic
118C43×#480C2211yescharacteristic
119C43×#480C2211yescharacteristic
120C43×#480C2211yescharacteristic, complemented
121C43×#479C2211yescharacteristic, complemented
122C43×#479C2211yescharacteristic, complemented
123C43×#479C2211yescharacteristic, complemented
124C43×#479C2211yescharacteristic, complemented
125C43×#479C2211yescharacteristic, complemented
126C43×#479C2211yescharacteristic, complemented
127C43×#478C2211yescharacteristic
128C43×#478C2211yescharacteristic
129C43×#478C2211yescharacteristic
130C43×#478C2211yescharacteristic
131C43×#478C2211yescharacteristic, complemented
132C43×#478C2211yescharacteristic, complemented
133C43×#470C2211yescharacteristic
134C43×#470C2211yescharacteristic, complemented
135C43×#469C2211yescharacteristic
136C43×#469C2211yescharacteristic
137C43×#468C2211yescharacteristic
138C43×#468C2211yescharacteristic
139C43×#468C2211yescharacteristic
140C43×#468C2211yescharacteristic, complemented
141C43×#467C2211yescharacteristic
142C43×#467C2211yescharacteristic, complemented
143C43×#466C2211yescharacteristic
144C43×#466C2211yescharacteristic
145C43×#465C2211yescharacteristic
146C43×#465C2211yescharacteristic
147C43×#465C2211yescharacteristic
148C43×#465C2211yescharacteristic, complemented
149C43×#464C2211yescharacteristic
150C43×#464C2211yescharacteristic
151C43×#463C2211yescharacteristic
152C43×#463C2211yescharacteristic
153C43×#452C2211yescharacteristic
154C43×#452C2211yescharacteristic
155C43×#452C2211yescharacteristic, complemented
156C43×#452C2211yescharacteristic, complemented
157C43×#451C2211yescharacteristic, complemented
158C43×#450C2211yescharacteristic
159C43×#449C2211yescharacteristic
160C43×#449C2211yescharacteristic
161C43×#449C2211yescharacteristic
162C43×#449C2211yescharacteristic
163C43×#448C2211yescharacteristic, complemented
164C43×#447C2211yescharacteristic
165C4×Q16×C43C2211yescharacteristic, complemented
166C4×Q16×C43C2211yescharacteristic, complemented
167C4×SD16×C43C2211yescharacteristic
168C4×SD16×C43C2211yescharacteristic
169C4×SD16×C43C2211yescharacteristic, complemented
170C4×SD16×C43C2211yescharacteristic, complemented
171C4×D8×C43C2211yescharacteristic
172C4×D8×C43C2211yescharacteristic
173C43×#436C2211yescharacteristic
174C43×#436C2211yescharacteristic
175C43×#436C2211yescharacteristic, complemented
176C43×#436C2211yescharacteristic, complemented
177C8×D4×C43C2211yescharacteristic
178C8×D4×C43C2211yescharacteristic
179C8×D4×C43C2211yescharacteristic, complemented
180C8×D4×C43C2211yescharacteristic, complemented
181C43×#431C2211yescharacteristic, complemented
182C43×#431C2211yescharacteristic, complemented
183C43×#428C2211yescharacteristic
184C43×#428C2211yescharacteristic, complemented
185C43×#428C2211yescharacteristic, complemented
186C43×#428C2211yescharacteristic, complemented
187C43×#427C2211yescharacteristic
188C43×#427C2211yescharacteristic, complemented
189C2×#107×C43C2211yescharacteristic, complemented
190C2×#106×C43C2211yescharacteristic, complemented
191C43×#419C2211yescharacteristic, complemented
192C43×#418C2211yescharacteristic
193C43×#417C2211yescharacteristic
194C43×#417C2211yescharacteristic
195C43×#416C2211yescharacteristic
196C43×#416C2211yescharacteristic
197C2×#103×C43C2211yescharacteristic, complemented
198C2×#102×C43C2211yescharacteristic
199C43×#408C2211yescharacteristic
200C43×#408C2211yescharacteristic
201C43×#408C2211yescharacteristic, complemented
202C43×#408C2211yescharacteristic, complemented
203C2×#41×C43C2311yescharacteristic
204C2×#41×C43C2311yescharacteristic
205C2×#41×C43C2311yescharacteristic
206C2×#41×C43C2311yescharacteristic
207C2×#41×C43C2311yescharacteristic
208C22×Q8×C43C2311yescharacteristic
209C22×D4×C43C2311yescharacteristic
210C2×Q16×C43C2311yescharacteristic
211C2×Q16×C43C2311yescharacteristic
212C2×SD16×C43C2311yescharacteristic
213C2×SD16×C43C2311yescharacteristic
214C2×SD16×C43C2311yescharacteristic
215C2×SD16×C43C2311yescharacteristic
216C2×D8×C43C2311yescharacteristic
217C2×D8×C43C2311yescharacteristic
218C2×M16×C43C2311yescharacteristic
219C2×M16×C43C2311yescharacteristic
220C2×M16×C43C2311yescharacteristic
221C2×M16×C43C2311yescharacteristic
222C22×C8×C43C2311yescharacteristic
223C22×C8×C43C2311yescharacteristic
224C22×C8×C43C2311yescharacteristic
225C22×C8×C43C2311yescharacteristic
226C4⋊Q8×C43—21no—
227C4⋊Q8×C43D411yescharacteristic
228#127×C43—21no—
229#127×C43D411yescharacteristic
230#126×C43—21no—
231#126×C43—21no—
232#126×C43—21no—
233#126×C43—21no—
234#126×C43—21no—
235#126×C43—21no—
236#126×C43—21no—
237#126×C43—21no—
238#126×C43—21no—
239#126×C43—21no—
240#126×C43—21no—
241#126×C43—21no—
242#126×C43—21no—
243#126×C43—21no—
244#125×C43—21no—
245#125×C43—21no—
246#125×C43—21no—
247#125×C43—21no—
248#125×C43—21no—
249#125×C43—21no—
250#125×C43—21no—
251#125×C43—21no—
252#125×C43C2311yescharacteristic
253#125×C43C2311yescharacteristic
254#125×C43C2311yescharacteristic
255#125×C43C2311yescharacteristic
256#125×C43C2311yescharacteristic
257#125×C43C2311yescharacteristic
258#124×C43—21no—
259#124×C43—21no—
260#124×C43—21no—
261#124×C43—21no—
262#124×C43D411yescharacteristic
263#124×C43D411yescharacteristic
264#124×C43C2311yescharacteristic
265#124×C43C2311yescharacteristic
266#123×C43—21no—
267#123×C43—21no—
268#123×C43—21no—
269#123×C43—21no—
270#123×C43—21no—
271#123×C43—21no—
272#123×C43—21no—
273#123×C43—21no—
274#123×C43—21no—
275#123×C43—21no—
276#123×C43—21no—
277#123×C43—21no—
278#123×C43—21no—
279#123×C43—21no—
280#123×C43—21no—
281#123×C43—21no—
282#123×C43—21no—
283#123×C43—21no—
284C22⋊Q8×C43—21no—
285C22⋊Q8×C43—21no—
286C22⋊Q8×C43—21no—
287C22⋊Q8×C43—21no—
288C22⋊Q8×C43—21no—
289C22⋊Q8×C43—21no—
290C22⋊Q8×C43C2311yescharacteristic
291C22⋊Q8×C43C2311yescharacteristic
292C22⋊Q8×C43C2311yescharacteristic
293C22⋊Q8×C43C2311yescharacteristic
294C22⋊Q8×C43C2311yescharacteristic
295C22⋊Q8×C43C2311yescharacteristic
296C22⋊Q8×C43C2311yescharacteristic
297C22⋊Q8×C43C2311yescharacteristic
298C22⋊Q8×C43C2311yescharacteristic
299C22⋊Q8×C43C2311yescharacteristic
300#121×C43—21no—
301#121×C43—21no—
302#121×C43—21no—
303#121×C43—21no—
304#121×C43—21no—
305#121×C43—21no—
306#121×C43—21no—
307#121×C43—21no—
308#121×C43—21no—
309#121×C43—21no—
310#121×C43—21no—
311#121×C43—21no—
312#121×C43—21no—
313#121×C43—21no—
314#121×C43—21no—
315#121×C43—21no—
316#121×C43—21no—
317#121×C43—21no—
318#121×C43—21no—
319#121×C43—21no—
320#121×C43—21no—
321#121×C43—21no—
322#121×C43D411yescharacteristic
323#121×C43D411yescharacteristic
324#121×C43D411yescharacteristic
325#121×C43D411yescharacteristic
326#121×C43C2311yescharacteristic
327#121×C43C2311yescharacteristic
328#121×C43C2311yescharacteristic
329#121×C43C2311yescharacteristic
330#121×C43C2311yescharacteristic
331#121×C43C2311yescharacteristic
332#121×C43C2311yescharacteristic
333#121×C43C2311yescharacteristic
334#121×C43C2311yescharacteristic
335#121×C43C2311yescharacteristic
336#120×C43—21no—
337#120×C43—21no—
338#120×C43—21no—
339#120×C43—21no—
340C4×Q8×C43—21no—
341C4×Q8×C43—21no—
342C4×Q8×C43C2311yescharacteristic
343C4×Q8×C43C2311yescharacteristic
344C4×Q8×C43C2311yescharacteristic
345C4×Q8×C43C2311yescharacteristic
346C4×D4×C43—21no—
347C4×D4×C43—21no—
348C4×D4×C43—21no—
349C4×D4×C43—21no—
350C4×D4×C43—21no—
351C4×D4×C43—21no—
352C4×D4×C43—21no—
353C4×D4×C43—21no—
354C4×D4×C43—21no—
355C4×D4×C43—21no—
356C4×D4×C43—21no—
357C4×D4×C43—21no—
358C4×D4×C43—21no—
359C4×D4×C43—21no—
360C4×D4×C43—21no—
361C4×D4×C43—21no—
362C4×D4×C43—21no—
363C4×D4×C43—21no—
364C4×D4×C43C2311yescharacteristic
365C4×D4×C43C2311yescharacteristic
366C4×D4×C43C2311yescharacteristic
367C4×D4×C43C2311yescharacteristic
368C4×D4×C43C2311yescharacteristic
369C4×D4×C43C2311yescharacteristic
370C4×D4×C43C2311yescharacteristic
371C4×D4×C43C2311yescharacteristic
372#117×C43—21no—
373#117×C43—21no—
374#117×C43—21no—
375#117×C43—21no—
376#117×C43—21no—
377#117×C43—21no—
378#117×C43—21no—
379#117×C43—21no—
380#117×C43—21no—
381#117×C43C2311yescharacteristic
382#117×C43C2311yescharacteristic
383#117×C43C2311yescharacteristic
384#117×C43C2311yescharacteristic
385#117×C43C2311yescharacteristic
386#117×C43C2311yescharacteristic
387#117×C43C2311yescharacteristic
388C2×C4⋊C4×C43—21no—
389C2×C4⋊C4×C43—21no—
390C2×C4⋊C4×C43C2311yescharacteristic
391C2×C4⋊C4×C43C2311yescharacteristic
392C2×C4⋊C4×C43C2311yescharacteristic
393C2×C4⋊C4×C43C2311yescharacteristic
394C2×C4⋊C4×C43C2311yescharacteristic
395C2×C4⋊C4×C43C2311yescharacteristic
396C2×C4⋊C4×C43C2311yescharacteristic
397C2×C4⋊C4×C43C2311yescharacteristic
398C2×C22⋊C4×C43—21no—
399C2×C22⋊C4×C43—21no—
400C2×C42×C43—21no—
401C2×C42×C43C2311yescharacteristic
402#107×C43C2311yescharacteristic
403#107×C43C2311yescharacteristic
404#107×C43C2311yescharacteristic
405#107×C43C2311yescharacteristic
406#107×C43C2311yescharacteristic
407#107×C43C2311yescharacteristic
408#107×C43C2311yescharacteristic
409#107×C43C2311yescharacteristic
410#107×C43C2311yescharacteristic
411#107×C43C2311yescharacteristic
412#107×C43C2311yescharacteristic
413#107×C43C2311yescharacteristic
414#106×C43C2311yescharacteristic
415#106×C43C2311yescharacteristic
416#106×C43C2311yescharacteristic
417#106×C43C2311yescharacteristic
418#106×C43C2311yescharacteristic
419#106×C43C2311yescharacteristic
420#106×C43C2311yescharacteristic
421#106×C43C2311yescharacteristic
422#106×C43C2311yescharacteristic
423#106×C43C2311yescharacteristic
424#106×C43C2311yescharacteristic
425#106×C43C2311yescharacteristic
426C4⋊C8×C43C2311yescharacteristic
427C4⋊C8×C43C2311yescharacteristic
428C4⋊C8×C43C2311yescharacteristic
429C4⋊C8×C43C2311yescharacteristic
430#103×C43C2311yescharacteristic
431#103×C43C2311yescharacteristic
432#103×C43C2311yescharacteristic
433#103×C43C2311yescharacteristic
434#103×C43C2311yescharacteristic
435#103×C43C2311yescharacteristic
436#103×C43C2311yescharacteristic
437#103×C43C2311yescharacteristic
438#103×C43C2311yescharacteristic
439#103×C43C2311yescharacteristic
440#103×C43C2311yescharacteristic
441#103×C43C2311yescharacteristic
442#103×C43C2311yescharacteristic
443#103×C43C2311yescharacteristic
444#103×C43C2311yescharacteristic
445#103×C43C2311yescharacteristic
446#102×C43C2311yescharacteristic
447#102×C43C2311yescharacteristic
448#102×C43C2311yescharacteristic
449#102×C43C2311yescharacteristic
450#102×C43C2311yescharacteristic
451#102×C43C2311yescharacteristic
452#102×C43C2311yescharacteristic
453#102×C43C2311yescharacteristic
454#102×C43C2311yescharacteristic
455#102×C43C2311yescharacteristic
456#102×C43C2311yescharacteristic
457#102×C43C2311yescharacteristic
458#102×C43C2311yescharacteristic
459#102×C43C2311yescharacteristic
460#102×C43C2311yescharacteristic
461#102×C43C2311yescharacteristic
462C22⋊C8×C43C2311yescharacteristic
463C22⋊C8×C43C2311yescharacteristic
464C22⋊C8×C43C2311yescharacteristic
465C22⋊C8×C43C2311yescharacteristic
466C22⋊C8×C43C2311yescharacteristic
467C22⋊C8×C43C2311yescharacteristic
468C22⋊C8×C43C2311yescharacteristic
469C22⋊C8×C43C2311yescharacteristic
470C22⋊C8×C43C2311yescharacteristic
471C22⋊C8×C43C2311yescharacteristic
472C22⋊C8×C43C2311yescharacteristic
473C22⋊C8×C43C2311yescharacteristic
474C4×C8×C43C2311yescharacteristic
475C4×C8×C43C2311yescharacteristic
476C4×C8×C43C2311yescharacteristic
477C4×C8×C43C2311yescharacteristic
478C24×C43—21no—
479#41×C43—41no—
480#41×C43—41no—
481#41×C43—41no—
482#41×C43—41no—
483#41×C43—41no—
484#41×C43—41no—
485#41×C43—41no—
486#41×C43—41no—
487#41×C43—41no—
488#41×C43—41no—
489C2×Q8×C43—21no—
490C2×Q8×C43—41no—
491C2×Q8×C43—41no—
492C2×Q8×C43C2×D411yescharacteristic
493C2×Q8×C43C2×D411yescharacteristic
494C2×Q8×C43C2411yescharacteristic
495C2×Q8×C43C2411yescharacteristic
496C2×Q8×C43C2411yescharacteristic
497C2×D4×C43—21no—
498C2×D4×C43—21no—
499C2×D4×C43—21no—
500C2×D4×C43—21no—
501C2×D4×C43—21no—
502C2×D4×C43—21no—
503C2×D4×C43—21no—
504C2×D4×C43—21no—
505C2×D4×C43—21no—
506C2×D4×C43—21no—
507C2×D4×C43—21no—
508C2×D4×C43—21no—
509C2×D4×C43—21no—
510C2×D4×C43—21no—
511C2×D4×C43—41no—
512C2×D4×C43—41no—
513C2×D4×C43C2×D411yescharacteristic
514C2×D4×C43C2×D411yescharacteristic
515C2×D4×C43C2×D411yescharacteristic
516C2×D4×C43C2×D411yescharacteristic
517C2×D4×C43C2×D411yescharacteristic
518C2×D4×C43C2×D411yescharacteristic
519C2×D4×C43C2×D411yescharacteristic
520C2×D4×C43C2×D411yescharacteristic
521C2×D4×C43C2×D411yescharacteristic
522C2×D4×C43C2×D411yescharacteristic
523C2×D4×C43C2411yescharacteristic
524C2×D4×C43C2411yescharacteristic
525C2×D4×C43C2411yescharacteristic
526C22×C4×C43—21no—
527C22×C4×C43—21no—
528C22×C4×C43—21no—
529C22×C4×C43—21no—
530C22×C4×C43—21no—
531C22×C4×C43—21no—
532C22×C4×C43—21no—
533C22×C4×C43—21no—
534C22×C4×C43—21no—
535C22×C4×C43—21no—
536C22×C4×C43—21no—
537C22×C4×C43—21no—
538C22×C4×C43—21no—
539C22×C4×C43—21no—
540C22×C4×C43—21no—
541C22×C4×C43—21no—
542C22×C4×C43C2×D411yescharacteristic
543C22×C4×C43C2×D411yescharacteristic
544C22×C4×C43C2411yescharacteristic
545C22×C4×C43C2411yescharacteristic
546C22×C4×C43C2411yescharacteristic
547C22×C4×C43C2411yescharacteristic
548C22×C4×C43C2411yescharacteristic
549Q16×C43—41no—
550Q16×C43—41no—
551SD16×C43—41no—
552SD16×C43—41no—
553SD16×C43—41no—
554SD16×C43—41no—
555D8×C43—41no—
556D8×C43—41no—
557M16×C43—41no—
558M16×C43—41no—
559M16×C43—41no—
560M16×C43—41no—
561C2×C8×C43—41no—
562C2×C8×C43—41no—
563C2×C8×C43—41no—
564C2×C8×C43—41no—
565C2×C8×C43C2411yescharacteristic
566C2×C8×C43C2411yescharacteristic
567C2×C8×C43C2411yescharacteristic
568C2×C8×C43C2411yescharacteristic
569C2×C8×C43C2411yescharacteristic
570C2×C8×C43C2411yescharacteristic
571C2×C8×C43C2411yescharacteristic
572C2×C8×C43C2411yescharacteristic
573C4⋊C4×C43—21no—
574C4⋊C4×C43—21no—
575C4⋊C4×C43—21no—
576C4⋊C4×C43—21no—
577C4⋊C4×C43—21no—
578C4⋊C4×C43—21no—
579C4⋊C4×C43—21no—
580C4⋊C4×C43—21no—
581C4⋊C4×C43—21no—
582C4⋊C4×C43—21no—
583C4⋊C4×C43—21no—
584C4⋊C4×C43—21no—
585C4⋊C4×C43—21no—
586C4⋊C4×C43—21no—
587C4⋊C4×C43—21no—
588C4⋊C4×C43—21no—
589C4⋊C4×C43—21no—
590C4⋊C4×C43—21no—
591C4⋊C4×C43—21no—
592C4⋊C4×C43—21no—
593C4⋊C4×C43—21no—
594C4⋊C4×C43—21no—
595C4⋊C4×C43—21no—
596C4⋊C4×C43—21no—
597C4⋊C4×C43—21no—
598C4⋊C4×C43—21no—
599C4⋊C4×C43—21no—
600C4⋊C4×C43—21no—
601C4⋊C4×C43—21no—
602C4⋊C4×C43—21no—
603C4⋊C4×C43—21no—
604C4⋊C4×C43—21no—
605C4⋊C4×C43—21no—
606C4⋊C4×C43—21no—
607C4⋊C4×C43C2×D411yescharacteristic
608C4⋊C4×C43C2×D411yescharacteristic
609C4⋊C4×C43C2×D411yescharacteristic
610C4⋊C4×C43C2×D411yescharacteristic
611C4⋊C4×C43C2411yescharacteristic
612C4⋊C4×C43C2411yescharacteristic
613C4⋊C4×C43C2411yescharacteristic
614C4⋊C4×C43C2411yescharacteristic
615C4⋊C4×C43C2411yescharacteristic
616C4⋊C4×C43C2411yescharacteristic
617C4⋊C4×C43C2411yescharacteristic
618C4⋊C4×C43C2411yescharacteristic
619C4⋊C4×C43C2411yescharacteristic
620C4⋊C4×C43C2411yescharacteristic
621C22⋊C4×C43—21no—
622C22⋊C4×C43—21no—
623C22⋊C4×C43—21no—
624C22⋊C4×C43—21no—
625C22⋊C4×C43—21no—
626C22⋊C4×C43—21no—
627C22⋊C4×C43—21no—
628C22⋊C4×C43—21no—
629C22⋊C4×C43—21no—
630C22⋊C4×C43—21no—
631C22⋊C4×C43—21no—
632C22⋊C4×C43—21no—
633C22⋊C4×C43—21no—
634C22⋊C4×C43—21no—
635C22⋊C4×C43—21no—
636C22⋊C4×C43—21no—
637C22⋊C4×C43—21no—
638C22⋊C4×C43—21no—
639C22⋊C4×C43—21no—
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×C43C2×D411yescharacteristic
657C22⋊C4×C43C2×D411yescharacteristic
658C22⋊C4×C43C2×D411yescharacteristic
659C22⋊C4×C43C2×D411yescharacteristic
660C22⋊C4×C43C2×D411yescharacteristic
661C22⋊C4×C43C2×D411yescharacteristic
662C22⋊C4×C43C2×D411yescharacteristic
663C22⋊C4×C43C2×D411yescharacteristic
664C42×C43—21no—
665C42×C43—21no—
666C42×C43—21no—
667C42×C43—21no—
668C42×C43—21no—
669C42×C43—21no—
670C42×C43—21no—
671C42×C43—21no—
672C42×C43—21no—
673C42×C43—21no—
674C42×C43—21no—
675C42×C43C2×D411yescharacteristic
676C42×C43C2×D411yescharacteristic
677C42×C43C2411yescharacteristic
678C42×C43C2411yescharacteristic
679C23×C43—21no—
680C23×C43—21no—
681C23×C43—21no—
682C23×C43—81no—
683C23×C43—81no—
684C23×C43—81no—
685C23×C43C22×D411yescharacteristic
686C23×C43C22×D411yescharacteristic
687C23×C43C22×D411yescharacteristic
688C23×C43C22×D411yescharacteristic
689C23×C43C22×D411yescharacteristic
690Q8×C43—21no—
691Q8×C43—21no—
692Q8×C43—21no—
693Q8×C43—21no—
694Q8×C43—21no—
695Q8×C43—21no—
696Q8×C43—41no—
697Q8×C43—41no—
698Q8×C43—81no—
699D4×C43—21no—
700D4×C43—21no—
701D4×C43—21no—
702D4×C43—21no—
703D4×C43—21no—
704D4×C43—21no—
705D4×C43—41no—
706D4×C43—41no—
707D4×C43—41no—
708D4×C43—41no—
709D4×C43—41no—
710D4×C43—41no—
711D4×C43—41no—
712D4×C43—41no—
713D4×C43—41no—
714D4×C43—41no—
715D4×C43—42no—
716D4×C43—81no—
717D4×C43—81no—
718D4×C43—81no—
719D4×C43—81no—
720D4×C43—81no—
721D4×C43—81no—
722D4×C43—81no—
723D4×C43—81no—
724D4×C43—81no—
725D4×C43—81no—
726D4×C43—81no—
727D4×C43—81no—
728D4×C43—81no—
729C2×C4×C43—21no—
730C2×C4×C43—21no—
731C2×C4×C43—21no—
732C2×C4×C43—21no—
733C2×C4×C43—21no—
734C2×C4×C43—21no—
735C2×C4×C43—21no—
736C2×C4×C43—21no—
737C2×C4×C43—21no—
738C2×C4×C43—21no—
739C2×C4×C43—21no—
740C2×C4×C43—21no—
741C2×C4×C43—21no—
742C2×C4×C43—21no—
743C2×C4×C43—21no—
744C2×C4×C43—21no—
745C2×C4×C43—21no—
746C2×C4×C43—21no—
747C2×C4×C43—21no—
748C2×C4×C43—21no—
749C2×C4×C43—21no—
750C2×C4×C43—21no—
751C2×C4×C43—21no—
752C2×C4×C43—41no—
753C2×C4×C43—41no—
754C2×C4×C43—42no—
755C2×C4×C43—81no—
756C2×C4×C43—81no—
757C2×C4×C43—81no—
758C2×C4×C43—81no—
759C2×C4×C43—81no—
760C2×C4×C43—81no—
761C2×C4×C43—81no—
762C2×C4×C43—81no—
763C2×C4×C43—81no—
764C2×C4×C43—81no—
765C2×C4×C43—81no—
766C2×C4×C43—81no—
767C2×C4×C43—81no—
768C2×C4×C43—81no—
769C2×C4×C43—81no—
770C2×C4×C43C22×D411yescharacteristic
771C2×C4×C43C22×D411yescharacteristic
772C2×C4×C43C22×D411yescharacteristic
773C2×C4×C43C22×D411yescharacteristic
774C2×C4×C43C22×D411yescharacteristic
775C2×C4×C43C22×D411yescharacteristic
776C2×C4×C43C22×D411yescharacteristic
777C2×C4×C43C22×D411yescharacteristic
778C2×C4×C43C22×D411yescharacteristic
779C2×C4×C43C2511yescharacteristic
780C8×C43—21no—
781C8×C43—21no—
782C8×C43—21no—
783C8×C43—21no—
784C8×C43—21no—
785C8×C43—21no—
786C8×C43—21no—
787C8×C43—21no—
788#61790C4311yesmaximal, characteristic, direct product factor, Sylow
789C22×C43—21no—
790C22×C43—21no—
791C22×C43—21no—
792C22×C43—21no—
793C22×C43—21no—
794C22×C43—21no—
795C22×C43—21no—
796C22×C43—21no—
797C22×C43—21no—
798C22×C43—21no—
799C22×C43—21no—
800C22×C43—21no—
801C22×C43—21no—
802C22×C43—21no—
803C22×C43—21no—
804C22×C43—41no—
805C22×C43—41no—
806C22×C43—41no—
807C22×C43—41no—
808C22×C43—41no—
809C22×C43—41no—
810C22×C43—41no—
811C22×C43—41no—
812C22×C43—41no—
813C22×C43—162no—
814C22×C43C23×D411yescharacteristic
815C4×C43—21no—
816C4×C43—21no—
817C4×C43—21no—
818C4×C43—21no—
819C4×C43—21no—
820C4×C43—21no—
821C4×C43—21no—
822C4×C43—21no—
823C4×C43—21no—
824C4×C43—41no—
825C4×C43—41no—
826C4×C43—41no—
827C4×C43—41no—
828C4×C43—41no—
829C4×C43—41no—
830C4×C43—41no—
831C4×C43—41no—
832C4×C43—41no—
833C4×C43—41no—
834C4×C43—41no—
835C4×C43—41no—
836C4×C43—41no—
837C4×C43#58511yescharacteristic
838C4×C43#58511yescharacteristic
839#3551C2×C4311yescharacteristic, complemented
840#3512C2×C4311yescharacteristic, complemented
841#3355C2×C4311yescharacteristic, complemented
842#3352C2×C4311yescharacteristic, complemented
843#3351C2×C4311yescharacteristic, complemented
844#3351C2×C4311yescharacteristic, complemented
845#3339C2×C4311yescharacteristic, complemented
846#3337C2×C4311yescharacteristic, complemented
847#3337C2×C4311yescharacteristic, complemented
848#3336C2×C4311yescharacteristic, complemented
849#3327C2×C4311yescharacteristic, complemented
850#3326C2×C4311yescharacteristic, complemented
851#3323C2×C4311yescharacteristic, complemented
852#3322C2×C4311yescharacteristic, complemented
853#3301C2×C4311yescharacteristic, complemented
854#3300C2×C4311yescharacteristic, complemented
855#3297C2×C4311yescharacteristic, complemented
856#3296C2×C4311yescharacteristic, complemented
857#3232C2×C4311yescharacteristic, complemented
858#3232C2×C4311yescharacteristic, complemented
859#3204C2×C4311yescharacteristic, complemented
860#3203C2×C4311yescharacteristic, complemented
861#3201C2×C4311yescharacteristic, complemented
862#3198C2×C4311yescharacteristic, complemented
863#3102C2×C4311yescharacteristic, complemented
864#3102C2×C4311yescharacteristic, complemented
865#3099C2×C4311yescharacteristic, complemented
866#3098C2×C4311yescharacteristic, complemented
867#3097C2×C4311yescharacteristic, complemented
868#3096C2×C4311yescharacteristic, complemented
869#2979C2×C4311yescharacteristic, complemented
870C2×C43—41no—
871C2×C43—41no—
872C2×C43—41no—
873C2×C43—41no—
874C2×C43—41no—
875C2×C43—81no—
876C2×C43—81no—
877C2×C43—81no—
878C2×C43#348511yescharacteristic
879C2×C43#358411yescharacteristic
880C2×C43#358411yescharacteristic
881#563—21no—
882#560—21no—
883#555—21no—
884#553—21no—
885#553—21no—
886#553—21no—
887#553—21no—
888#553C22×C4311yescharacteristic
889#553C22×C4311yescharacteristic
890#553C22×C4311yescharacteristic
891#553C22×C4311yescharacteristic
892#553C22×C4311yescharacteristic, complemented
893#553C22×C4311yescharacteristic, complemented
894#552C22×C4311yescharacteristic
895#552C22×C4311yescharacteristic
896#552C22×C4311yescharacteristic
897#552C22×C4311yescharacteristic
898#552C22×C4311yescharacteristic, complemented
899#552C22×C4311yescharacteristic, complemented
900#551—21no—
901#548C22×C4311yescharacteristic
902#548C22×C4311yescharacteristic
903#546C22×C4311yescharacteristic
904#546C22×C4311yescharacteristic
905#541—21no—
906#540—21no—
907#540—21no—
908#540—21no—
909#538—21no—
910#538—21no—
911#537C22×C4311yescharacteristic
912#537C22×C4311yescharacteristic
913#537C22×C4311yescharacteristic
914#537C22×C4311yescharacteristic, complemented
915#536C22×C4311yescharacteristic
916#535C22×C4311yescharacteristic
917#532C22×C4311yescharacteristic
918#529—21no—
919#529—21no—
920#529C22×C4311yescharacteristic
921#529C22×C4311yescharacteristic
922C2×#125C22×C4311yescharacteristic, complemented
923#520C22×C4311yescharacteristic
924#520C22×C4311yescharacteristic, complemented
925C4×#41C22×C4311yescharacteristic, complemented
926#499C22×C4311yescharacteristic, complemented
927#499C22×C4311yescharacteristic, complemented
928#499C22×C4311yescharacteristic, complemented
929#499C22×C4311yescharacteristic, complemented
930#488C22×C4311yescharacteristic
931#488C22×C4311yescharacteristic
932#488C22×C4311yescharacteristic
933#488C22×C4311yescharacteristic
934#485C22×C4311yescharacteristic
935#485C22×C4311yescharacteristic
936#485C22×C4311yescharacteristic
937#485C22×C4311yescharacteristic, complemented
938#485C22×C4311yescharacteristic, complemented
939#485C22×C4311yescharacteristic, complemented
940#485C22×C4311yescharacteristic, complemented
941#485C22×C4311yescharacteristic, complemented
942#484C22×C4311yescharacteristic
943#484C22×C4311yescharacteristic, complemented
944#484C22×C4311yescharacteristic, complemented
945#484C22×C4311yescharacteristic, complemented
946#484C22×C4311yescharacteristic, complemented
947#483C22×C4311yescharacteristic
948#483C22×C4311yescharacteristic, complemented
949#483C22×C4311yescharacteristic, complemented
950#483C22×C4311yescharacteristic, complemented
951#483C22×C4311yescharacteristic, complemented
952#482C22×C4311yescharacteristic
953#482C22×C4311yescharacteristic
954#482C22×C4311yescharacteristic
955#482C22×C4311yescharacteristic
956#482C22×C4311yescharacteristic
957#482C22×C4311yescharacteristic
958#482C22×C4311yescharacteristic
959#482C22×C4311yescharacteristic, complemented
960#481C22×C4311yescharacteristic
961#481C22×C4311yescharacteristic
962#481C22×C4311yescharacteristic
963#481C22×C4311yescharacteristic
964#481C22×C4311yescharacteristic, complemented
965#480C22×C4311yescharacteristic
966#480C22×C4311yescharacteristic
967#480C22×C4311yescharacteristic
968#480C22×C4311yescharacteristic
969#480C22×C4311yescharacteristic, complemented
970#479C22×C4311yescharacteristic, complemented
971#479C22×C4311yescharacteristic, complemented
972#479C22×C4311yescharacteristic, complemented
973#479C22×C4311yescharacteristic, complemented
974#479C22×C4311yescharacteristic, complemented
975#479C22×C4311yescharacteristic, complemented
976#478C22×C4311yescharacteristic
977#478C22×C4311yescharacteristic
978#478C22×C4311yescharacteristic
979#478C22×C4311yescharacteristic
980#478C22×C4311yescharacteristic, complemented
981#478C22×C4311yescharacteristic, complemented
982#470C22×C4311yescharacteristic
983#470C22×C4311yescharacteristic, complemented
984#469C22×C4311yescharacteristic
985#469C22×C4311yescharacteristic
986#468C22×C4311yescharacteristic
987#468C22×C4311yescharacteristic
988#468C22×C4311yescharacteristic
989#468C22×C4311yescharacteristic, complemented
990#467C22×C4311yescharacteristic
991#467C22×C4311yescharacteristic, complemented
992#466C22×C4311yescharacteristic
993#466C22×C4311yescharacteristic
994#465C22×C4311yescharacteristic
995#465C22×C4311yescharacteristic
996#465C22×C4311yescharacteristic
997#465C22×C4311yescharacteristic, complemented
998#464C22×C4311yescharacteristic
999#464C22×C4311yescharacteristic
1000#463C22×C4311yescharacteristic
1001#463C22×C4311yescharacteristic
1002#452C22×C4311yescharacteristic
1003#452C22×C4311yescharacteristic
1004#452C22×C4311yescharacteristic, complemented
1005#452C22×C4311yescharacteristic, complemented
1006#451C22×C4311yescharacteristic, complemented
1007#450C22×C4311yescharacteristic
1008#449C22×C4311yescharacteristic
1009#449C22×C4311yescharacteristic
1010#449C22×C4311yescharacteristic
1011#449C22×C4311yescharacteristic
1012#448C22×C4311yescharacteristic, complemented
1013#447C22×C4311yescharacteristic
1014C4×Q16C22×C4311yescharacteristic, complemented
1015C4×Q16C22×C4311yescharacteristic, complemented
1016C4×SD16C22×C4311yescharacteristic
1017C4×SD16C22×C4311yescharacteristic
1018C4×SD16C22×C4311yescharacteristic, complemented
1019C4×SD16C22×C4311yescharacteristic, complemented
1020C4×D8C22×C4311yescharacteristic
1021C4×D8C22×C4311yescharacteristic
1022#436C22×C4311yescharacteristic
1023#436C22×C4311yescharacteristic
1024#436C22×C4311yescharacteristic, complemented
1025#436C22×C4311yescharacteristic, complemented
1026C8×D4C22×C4311yescharacteristic
1027C8×D4C22×C4311yescharacteristic
1028C8×D4C22×C4311yescharacteristic, complemented
1029C8×D4C22×C4311yescharacteristic, complemented
1030#431C22×C4311yescharacteristic, complemented
1031#431C22×C4311yescharacteristic, complemented
1032#428C22×C4311yescharacteristic
1033#428C22×C4311yescharacteristic, complemented
1034#428C22×C4311yescharacteristic, complemented
1035#428C22×C4311yescharacteristic, complemented
1036#427C22×C4311yescharacteristic
1037#427C22×C4311yescharacteristic, complemented
1038C2×#107C22×C4311yescharacteristic, complemented
1039C2×#106C22×C4311yescharacteristic, complemented
1040#419C22×C4311yescharacteristic, complemented
1041#418C22×C4311yescharacteristic
1042#417C22×C4311yescharacteristic
1043#417C22×C4311yescharacteristic
1044#416C22×C4311yescharacteristic
1045#416C22×C4311yescharacteristic
1046C2×#103C22×C4311yescharacteristic, complemented
1047C2×#102C22×C4311yescharacteristic
1048#408C22×C4311yescharacteristic
1049#408C22×C4311yescharacteristic
1050#408C22×C4311yescharacteristic, complemented
1051#408C22×C4311yescharacteristic, complemented
1052C43#6179011yescharacteristic, direct product factor, Sylow
1053C2×#41C23×C4311yescharacteristic
1054C2×#41C23×C4311yescharacteristic
1055C2×#41C23×C4311yescharacteristic
1056C2×#41C23×C4311yescharacteristic
1057C2×#41C23×C4311yescharacteristic
1058C22×Q8C23×C4311yescharacteristic
1059C22×D4C23×C4311yescharacteristic
1060C2×Q16C23×C4311yescharacteristic
1061C2×Q16C23×C4311yescharacteristic
1062C2×SD16C23×C4311yescharacteristic
1063C2×SD16C23×C4311yescharacteristic
1064C2×SD16C23×C4311yescharacteristic
1065C2×SD16C23×C4311yescharacteristic
1066C2×D8C23×C4311yescharacteristic
1067C2×D8C23×C4311yescharacteristic
1068C2×M16C23×C4311yescharacteristic
1069C2×M16C23×C4311yescharacteristic
1070C2×M16C23×C4311yescharacteristic
1071C2×M16C23×C4311yescharacteristic
1072C22×C8C23×C4311yescharacteristic
1073C22×C8C23×C4311yescharacteristic
1074C22×C8C23×C4311yescharacteristic
1075C22×C8C23×C4311yescharacteristic
1076C4⋊Q8—21no—
1077C4⋊Q8D4×C4311yescharacteristic
1078#127—21no—
1079#127D4×C4311yescharacteristic
1080#126—21no—
1081#126—21no—
1082#126—21no—
1083#126—21no—
1084#126—21no—
1085#126—21no—
1086#126—21no—
1087#126—21no—
1088#126—21no—
1089#126—21no—
1090#126—21no—
1091#126—21no—
1092#126—21no—
1093#126—21no—
1094#125—21no—
1095#125—21no—
1096#125—21no—
1097#125—21no—
1098#125—21no—
1099#125—21no—
1100#125—21no—
1101#125—21no—
1102#125C23×C4311yescharacteristic
1103#125C23×C4311yescharacteristic
1104#125C23×C4311yescharacteristic
1105#125C23×C4311yescharacteristic
1106#125C23×C4311yescharacteristic
1107#125C23×C4311yescharacteristic
1108#124—21no—
1109#124—21no—
1110#124—21no—
1111#124—21no—
1112#124D4×C4311yescharacteristic
1113#124D4×C4311yescharacteristic
1114#124C23×C4311yescharacteristic
1115#124C23×C4311yescharacteristic
1116#123—21no—
1117#123—21no—
1118#123—21no—
1119#123—21no—
1120#123—21no—
1121#123—21no—
1122#123—21no—
1123#123—21no—
1124#123—21no—
1125#123—21no—
1126#123—21no—
1127#123—21no—
1128#123—21no—
1129#123—21no—
1130#123—21no—
1131#123—21no—
1132#123—21no—
1133#123—21no—
1134C22⋊Q8—21no—
1135C22⋊Q8—21no—
1136C22⋊Q8—21no—
1137C22⋊Q8—21no—
1138C22⋊Q8—21no—
1139C22⋊Q8—21no—
1140C22⋊Q8C23×C4311yescharacteristic
1141C22⋊Q8C23×C4311yescharacteristic
1142C22⋊Q8C23×C4311yescharacteristic
1143C22⋊Q8C23×C4311yescharacteristic
1144C22⋊Q8C23×C4311yescharacteristic
1145C22⋊Q8C23×C4311yescharacteristic
1146C22⋊Q8C23×C4311yescharacteristic
1147C22⋊Q8C23×C4311yescharacteristic
1148C22⋊Q8C23×C4311yescharacteristic
1149C22⋊Q8C23×C4311yescharacteristic
1150#121—21no—
1151#121—21no—
1152#121—21no—
1153#121—21no—
1154#121—21no—
1155#121—21no—
1156#121—21no—
1157#121—21no—
1158#121—21no—
1159#121—21no—
1160#121—21no—
1161#121—21no—
1162#121—21no—
1163#121—21no—
1164#121—21no—
1165#121—21no—
1166#121—21no—
1167#121—21no—
1168#121—21no—
1169#121—21no—
1170#121—21no—
1171#121—21no—
1172#121D4×C4311yescharacteristic
1173#121D4×C4311yescharacteristic
1174#121D4×C4311yescharacteristic
1175#121D4×C4311yescharacteristic
1176#121C23×C4311yescharacteristic
1177#121C23×C4311yescharacteristic
1178#121C23×C4311yescharacteristic
1179#121C23×C4311yescharacteristic
1180#121C23×C4311yescharacteristic
1181#121C23×C4311yescharacteristic
1182#121C23×C4311yescharacteristic
1183#121C23×C4311yescharacteristic
1184#121C23×C4311yescharacteristic
1185#121C23×C4311yescharacteristic
1186#120—21no—
1187#120—21no—
1188#120—21no—
1189#120—21no—
1190C4×Q8—21no—
1191C4×Q8—21no—
1192C4×Q8C23×C4311yescharacteristic
1193C4×Q8C23×C4311yescharacteristic
1194C4×Q8C23×C4311yescharacteristic
1195C4×Q8C23×C4311yescharacteristic
1196C4×D4—21no—
1197C4×D4—21no—
1198C4×D4—21no—
1199C4×D4—21no—
1200C4×D4—21no—
1201C4×D4—21no—
1202C4×D4—21no—
1203C4×D4—21no—
1204C4×D4—21no—
1205C4×D4—21no—
1206C4×D4—21no—
1207C4×D4—21no—
1208C4×D4—21no—
1209C4×D4—21no—
1210C4×D4—21no—
1211C4×D4—21no—
1212C4×D4—21no—
1213C4×D4—21no—
1214C4×D4C23×C4311yescharacteristic
1215C4×D4C23×C4311yescharacteristic
1216C4×D4C23×C4311yescharacteristic
1217C4×D4C23×C4311yescharacteristic
1218C4×D4C23×C4311yescharacteristic
1219C4×D4C23×C4311yescharacteristic
1220C4×D4C23×C4311yescharacteristic
1221C4×D4C23×C4311yescharacteristic
1222#117—21no—
1223#117—21no—
1224#117—21no—
1225#117—21no—
1226#117—21no—
1227#117—21no—
1228#117—21no—
1229#117—21no—
1230#117—21no—
1231#117C23×C4311yescharacteristic
1232#117C23×C4311yescharacteristic
1233#117C23×C4311yescharacteristic
1234#117C23×C4311yescharacteristic
1235#117C23×C4311yescharacteristic
1236#117C23×C4311yescharacteristic
1237#117C23×C4311yescharacteristic
1238C2×C4⋊C4—21no—
1239C2×C4⋊C4—21no—
1240C2×C4⋊C4C23×C4311yescharacteristic
1241C2×C4⋊C4C23×C4311yescharacteristic
1242C2×C4⋊C4C23×C4311yescharacteristic
1243C2×C4⋊C4C23×C4311yescharacteristic
1244C2×C4⋊C4C23×C4311yescharacteristic
1245C2×C4⋊C4C23×C4311yescharacteristic
1246C2×C4⋊C4C23×C4311yescharacteristic
1247C2×C4⋊C4C23×C4311yescharacteristic
1248C2×C22⋊C4—21no—
1249C2×C22⋊C4—21no—
1250C2×C42—21no—
1251C2×C42C23×C4311yescharacteristic
1252#107C23×C4311yescharacteristic
1253#107C23×C4311yescharacteristic
1254#107C23×C4311yescharacteristic
1255#107C23×C4311yescharacteristic
1256#107C23×C4311yescharacteristic
1257#107C23×C4311yescharacteristic
1258#107C23×C4311yescharacteristic
1259#107C23×C4311yescharacteristic
1260#107C23×C4311yescharacteristic
1261#107C23×C4311yescharacteristic
1262#107C23×C4311yescharacteristic
1263#107C23×C4311yescharacteristic
1264#106C23×C4311yescharacteristic
1265#106C23×C4311yescharacteristic
1266#106C23×C4311yescharacteristic
1267#106C23×C4311yescharacteristic
1268#106C23×C4311yescharacteristic
1269#106C23×C4311yescharacteristic
1270#106C23×C4311yescharacteristic
1271#106C23×C4311yescharacteristic
1272#106C23×C4311yescharacteristic
1273#106C23×C4311yescharacteristic
1274#106C23×C4311yescharacteristic
1275#106C23×C4311yescharacteristic
1276C4⋊C8C23×C4311yescharacteristic
1277C4⋊C8C23×C4311yescharacteristic
1278C4⋊C8C23×C4311yescharacteristic
1279C4⋊C8C23×C4311yescharacteristic
1280#103C23×C4311yescharacteristic
1281#103C23×C4311yescharacteristic
1282#103C23×C4311yescharacteristic
1283#103C23×C4311yescharacteristic
1284#103C23×C4311yescharacteristic
1285#103C23×C4311yescharacteristic
1286#103C23×C4311yescharacteristic
1287#103C23×C4311yescharacteristic
1288#103C23×C4311yescharacteristic
1289#103C23×C4311yescharacteristic
1290#103C23×C4311yescharacteristic
1291#103C23×C4311yescharacteristic
1292#103C23×C4311yescharacteristic
1293#103C23×C4311yescharacteristic
1294#103C23×C4311yescharacteristic
1295#103C23×C4311yescharacteristic
1296#102C23×C4311yescharacteristic
1297#102C23×C4311yescharacteristic
1298#102C23×C4311yescharacteristic
1299#102C23×C4311yescharacteristic
1300#102C23×C4311yescharacteristic
1301#102C23×C4311yescharacteristic
1302#102C23×C4311yescharacteristic
1303#102C23×C4311yescharacteristic
1304#102C23×C4311yescharacteristic
1305#102C23×C4311yescharacteristic
1306#102C23×C4311yescharacteristic
1307#102C23×C4311yescharacteristic
1308#102C23×C4311yescharacteristic
1309#102C23×C4311yescharacteristic
1310#102C23×C4311yescharacteristic
1311#102C23×C4311yescharacteristic
1312C22⋊C8C23×C4311yescharacteristic
1313C22⋊C8C23×C4311yescharacteristic
1314C22⋊C8C23×C4311yescharacteristic
1315C22⋊C8C23×C4311yescharacteristic
1316C22⋊C8C23×C4311yescharacteristic
1317C22⋊C8C23×C4311yescharacteristic
1318C22⋊C8C23×C4311yescharacteristic
1319C22⋊C8C23×C4311yescharacteristic
1320C22⋊C8C23×C4311yescharacteristic
1321C22⋊C8C23×C4311yescharacteristic
1322C22⋊C8C23×C4311yescharacteristic
1323C22⋊C8C23×C4311yescharacteristic
1324C4×C8C23×C4311yescharacteristic
1325C4×C8C23×C4311yescharacteristic
1326C4×C8C23×C4311yescharacteristic
1327C4×C8C23×C4311yescharacteristic
1328C24—21no—
1329#41—41no—
1330#41—41no—
1331#41—41no—
1332#41—41no—
1333#41—41no—
1334#41—41no—
1335#41—41no—
1336#41—41no—
1337#41—41no—
1338#41—41no—
1339C2×Q8—21no—
1340C2×Q8—41no—
1341C2×Q8—41no—
1342C2×Q8C2×D4×C4311yescharacteristic
1343C2×Q8C2×D4×C4311yescharacteristic
1344C2×Q8C24×C4311yescharacteristic
1345C2×Q8C24×C4311yescharacteristic
1346C2×Q8C24×C4311yescharacteristic
1347C2×D4—21no—
1348C2×D4—21no—
1349C2×D4—21no—
1350C2×D4—21no—
1351C2×D4—21no—
1352C2×D4—21no—
1353C2×D4—21no—
1354C2×D4—21no—
1355C2×D4—21no—
1356C2×D4—21no—
1357C2×D4—21no—
1358C2×D4—21no—
1359C2×D4—21no—
1360C2×D4—21no—
1361C2×D4—41no—
1362C2×D4—41no—
1363C2×D4C2×D4×C4311yescharacteristic
1364C2×D4C2×D4×C4311yescharacteristic
1365C2×D4C2×D4×C4311yescharacteristic
1366C2×D4C2×D4×C4311yescharacteristic
1367C2×D4C2×D4×C4311yescharacteristic
1368C2×D4C2×D4×C4311yescharacteristic
1369C2×D4C2×D4×C4311yescharacteristic
1370C2×D4C2×D4×C4311yescharacteristic
1371C2×D4C2×D4×C4311yescharacteristic
1372C2×D4C2×D4×C4311yescharacteristic
1373C2×D4C24×C4311yescharacteristic
1374C2×D4C24×C4311yescharacteristic
1375C2×D4C24×C4311yescharacteristic
1376C22×C4—21no—
1377C22×C4—21no—
1378C22×C4—21no—
1379C22×C4—21no—
1380C22×C4—21no—
1381C22×C4—21no—
1382C22×C4—21no—
1383C22×C4—21no—
1384C22×C4—21no—
1385C22×C4—21no—
1386C22×C4—21no—
1387C22×C4—21no—
1388C22×C4—21no—
1389C22×C4—21no—
1390C22×C4—21no—
1391C22×C4—21no—
1392C22×C4C2×D4×C4311yescharacteristic
1393C22×C4C2×D4×C4311yescharacteristic
1394C22×C4C24×C4311yescharacteristic
1395C22×C4C24×C4311yescharacteristic
1396C22×C4C24×C4311yescharacteristic
1397C22×C4C24×C4311yescharacteristic
1398C22×C4C24×C4311yescharacteristic
1399Q16—41no—
1400Q16—41no—
1401SD16—41no—
1402SD16—41no—
1403SD16—41no—
1404SD16—41no—
1405D8—41no—
1406D8—41no—
1407M16—41no—
1408M16—41no—
1409M16—41no—
1410M16—41no—
1411C2×C8—41no—
1412C2×C8—41no—
1413C2×C8—41no—
1414C2×C8—41no—
1415C2×C8C24×C4311yescharacteristic
1416C2×C8C24×C4311yescharacteristic
1417C2×C8C24×C4311yescharacteristic
1418C2×C8C24×C4311yescharacteristic
1419C2×C8C24×C4311yescharacteristic
1420C2×C8C24×C4311yescharacteristic
1421C2×C8C24×C4311yescharacteristic
1422C2×C8C24×C4311yescharacteristic
1423C4⋊C4—21no—
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—21no—
1428C4⋊C4—21no—
1429C4⋊C4—21no—
1430C4⋊C4—21no—
1431C4⋊C4—21no—
1432C4⋊C4—21no—
1433C4⋊C4—21no—
1434C4⋊C4—21no—
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—21no—
1441C4⋊C4—21no—
1442C4⋊C4—21no—
1443C4⋊C4—21no—
1444C4⋊C4—21no—
1445C4⋊C4—21no—
1446C4⋊C4—21no—
1447C4⋊C4—21no—
1448C4⋊C4—21no—
1449C4⋊C4—21no—
1450C4⋊C4—21no—
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—21no—
1454C4⋊C4—21no—
1455C4⋊C4—21no—
1456C4⋊C4—21no—
1457C4⋊C4C2×D4×C4311yescharacteristic
1458C4⋊C4C2×D4×C4311yescharacteristic
1459C4⋊C4C2×D4×C4311yescharacteristic
1460C4⋊C4C2×D4×C4311yescharacteristic
1461C4⋊C4C24×C4311yescharacteristic
1462C4⋊C4C24×C4311yescharacteristic
1463C4⋊C4C24×C4311yescharacteristic
1464C4⋊C4C24×C4311yescharacteristic
1465C4⋊C4C24×C4311yescharacteristic
1466C4⋊C4C24×C4311yescharacteristic
1467C4⋊C4C24×C4311yescharacteristic
1468C4⋊C4C24×C4311yescharacteristic
1469C4⋊C4C24×C4311yescharacteristic
1470C4⋊C4C24×C4311yescharacteristic
1471C22⋊C4—21no—
1472C22⋊C4—21no—
1473C22⋊C4—21no—
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—21no—
1477C22⋊C4—21no—
1478C22⋊C4—21no—
1479C22⋊C4—21no—
1480C22⋊C4—21no—
1481C22⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—21no—
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—21no—
1489C22⋊C4—21no—
1490C22⋊C4—21no—
1491C22⋊C4—21no—
1492C22⋊C4—21no—
1493C22⋊C4—21no—
1494C22⋊C4—21no—
1495C22⋊C4—21no—
1496C22⋊C4—21no—
1497C22⋊C4—21no—
1498C22⋊C4—21no—
1499C22⋊C4—21no—
1500C22⋊C4—21no—
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4C2×D4×C4311yescharacteristic
1507C22⋊C4C2×D4×C4311yescharacteristic
1508C22⋊C4C2×D4×C4311yescharacteristic
1509C22⋊C4C2×D4×C4311yescharacteristic
1510C22⋊C4C2×D4×C4311yescharacteristic
1511C22⋊C4C2×D4×C4311yescharacteristic
1512C22⋊C4C2×D4×C4311yescharacteristic
1513C22⋊C4C2×D4×C4311yescharacteristic
1514C42—21no—
1515C42—21no—
1516C42—21no—
1517C42—21no—
1518C42—21no—
1519C42—21no—
1520C42—21no—
1521C42—21no—
1522C42—21no—
1523C42—21no—
1524C42—21no—
1525C42C2×D4×C4311yescharacteristic
1526C42C2×D4×C4311yescharacteristic
1527C42C24×C4311yescharacteristic
1528C42C24×C4311yescharacteristic
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—81no—
1533C23—81no—
1534C23—81no—
1535C23C22×D4×C4311yescharacteristic
1536C23C22×D4×C4311yescharacteristic
1537C23C22×D4×C4311yescharacteristic
1538C23C22×D4×C4311yescharacteristic
1539C23C22×D4×C4311yescharacteristic
1540Q8—21no—
1541Q8—21no—
1542Q8—21no—
1543Q8—21no—
1544Q8—21no—
1545Q8—21no—
1546Q8—41no—
1547Q8—41no—
1548Q8—81no—
1549D4—21no—
1550D4—21no—
1551D4—21no—
1552D4—21no—
1553D4—21no—
1554D4—21no—
1555D4—41no—
1556D4—41no—
1557D4—41no—
1558D4—41no—
1559D4—41no—
1560D4—41no—
1561D4—41no—
1562D4—41no—
1563D4—41no—
1564D4—41no—
1565D4—42no—
1566D4—81no—
1567D4—81no—
1568D4—81no—
1569D4—81no—
1570D4—81no—
1571D4—81no—
1572D4—81no—
1573D4—81no—
1574D4—81no—
1575D4—81no—
1576D4—81no—
1577D4—81no—
1578D4—81no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—41no—
1603C2×C4—41no—
1604C2×C4—42no—
1605C2×C4—81no—
1606C2×C4—81no—
1607C2×C4—81no—
1608C2×C4—81no—
1609C2×C4—81no—
1610C2×C4—81no—
1611C2×C4—81no—
1612C2×C4—81no—
1613C2×C4—81no—
1614C2×C4—81no—
1615C2×C4—81no—
1616C2×C4—81no—
1617C2×C4—81no—
1618C2×C4—81no—
1619C2×C4—81no—
1620C2×C4C22×D4×C4311yescharacteristic
1621C2×C4C22×D4×C4311yescharacteristic
1622C2×C4C22×D4×C4311yescharacteristic
1623C2×C4C22×D4×C4311yescharacteristic
1624C2×C4C22×D4×C4311yescharacteristic
1625C2×C4C22×D4×C4311yescharacteristic
1626C2×C4C22×D4×C4311yescharacteristic
1627C2×C4C22×D4×C4311yescharacteristic
1628C2×C4C22×D4×C4311yescharacteristic
1629C2×C4C25×C4311yescharacteristic
1630C8—21no—
1631C8—21no—
1632C8—21no—
1633C8—21no—
1634C8—21no—
1635C8—21no—
1636C8—21no—
1637C8—21no—
1638C22—21no—
1639C22—21no—
1640C22—21no—
1641C22—21no—
1642C22—21no—
1643C22—21no—
1644C22—21no—
1645C22—21no—
1646C22—21no—
1647C22—21no—
1648C22—21no—
1649C22—21no—
1650C22—21no—
1651C22—21no—
1652C22—21no—
1653C22—41no—
1654C22—41no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—162no—
1663C22C23×D4×C4311yescharacteristic
1664C4—21no—
1665C4—21no—
1666C4—21no—
1667C4—21no—
1668C4—21no—
1669C4—21no—
1670C4—21no—
1671C4—21no—
1672C4—21no—
1673C4—41no—
1674C4—41no—
1675C4—41no—
1676C4—41no—
1677C4—41no—
1678C4—41no—
1679C4—41no—
1680C4—41no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4C43×#58511yescharacteristic
1687C4C43×#58511yescharacteristic
1688C2—41no—
1689C2—41no—
1690C2—41no—
1691C2—41no—
1692C2—41no—
1693C2—81no—
1694C2—81no—
1695C2—81no—
1696C2C43×#348511yescharacteristic
1697C2C43×#358411yescharacteristic
1698C2C43×#358411yescharacteristic
subgroupG/H
center, socleC22×C43C23×D4
commutator, Frattini, cosocleC2×C4C25×C43
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C43 ◁ C43×#532 ◁ G

Complements

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

NH ≅ G/Ntype
1. C43×#3551C2semidirect
2. C43×#3512C2semidirect
3. C43×#3355C2semidirect
4. C43×#3352C2semidirect
5. C43×#3351C2semidirect
6. C43×#3351C2semidirect
7. C43×#3339C2semidirect
8. C43×#3337C2semidirect
9. C43×#3337C2semidirect
10. C43×#3336C2semidirect
11. C43×#3327C2semidirect
12. C43×#3326C2semidirect
13. C43×#3323C2semidirect
14. C43×#3322C2semidirect
15. C43×#3301C2semidirect
16. C43×#3300C2semidirect
17. C43×#3297C2semidirect
18. C43×#3296C2semidirect
19. C43×#3232C2semidirect
20. C43×#3232C2semidirect
21. C43×#3204C2semidirect
22. C43×#3203C2semidirect
23. C43×#3201C2semidirect
24. C43×#3198C2semidirect
25. C43×#3102C2semidirect
26. C43×#3102C2semidirect
27. C43×#3099C2semidirect
28. C43×#3098C2semidirect
29. C43×#3097C2semidirect
30. C43×#3096C2semidirect
31. C43×#2979C2semidirect
43. C43×#553C22semidirect
44. C43×#553C22semidirect
49. C43×#552C22semidirect
50. C43×#552C22semidirect
65. C43×#537C22semidirect
73. C2×#125×C43C22semidirect
75. C43×#520C22semidirect
76. C4×#41×C43C22semidirect
77. C43×#499C22semidirect
78. C43×#499C22semidirect
79. C43×#499C22semidirect
80. C43×#499C22semidirect
88. C43×#485C22semidirect
89. C43×#485C22semidirect
90. C43×#485C22semidirect
91. C43×#485C22semidirect
92. C43×#485C22semidirect
94. C43×#484C22semidirect
95. C43×#484C22semidirect
96. C43×#484C22semidirect
97. C43×#484C22semidirect
99. C43×#483C22semidirect
100. C43×#483C22semidirect
101. C43×#483C22semidirect
102. C43×#483C22semidirect
110. C43×#482C22semidirect
115. C43×#481C22semidirect
120. C43×#480C22semidirect
121. C43×#479C22semidirect
122. C43×#479C22semidirect
123. C43×#479C22semidirect
124. C43×#479C22semidirect
125. C43×#479C22semidirect
126. C43×#479C22semidirect
131. C43×#478C22semidirect
132. C43×#478C22semidirect
134. C43×#470C22semidirect
140. C43×#468C22semidirect
142. C43×#467C22semidirect
148. C43×#465C22semidirect
155. C43×#452C22semidirect
156. C43×#452C22semidirect
157. C43×#451C22semidirect
163. C43×#448C22semidirect
165. C4×Q16×C43C22semidirect
166. C4×Q16×C43C22semidirect
169. C4×SD16×C43C22semidirect
170. C4×SD16×C43C22semidirect
175. C43×#436C22semidirect
176. C43×#436C22semidirect
179. C8×D4×C43C22semidirect
180. C8×D4×C43C22semidirect
181. C43×#431C22semidirect
182. C43×#431C22semidirect
184. C43×#428C22semidirect
185. C43×#428C22semidirect
186. C43×#428C22semidirect
188. C43×#427C22semidirect
189. C2×#107×C43C22semidirect
190. C2×#106×C43C22semidirect
191. C43×#419C22semidirect
197. C2×#103×C43C22semidirect
201. C43×#408C22semidirect
202. C43×#408C22semidirect
788. #61790C43direct (N × H)
839. #3551C2×C43semidirect
840. #3512C2×C43semidirect
841. #3355C2×C43semidirect
842. #3352C2×C43semidirect
843. #3351C2×C43semidirect
844. #3351C2×C43semidirect
845. #3339C2×C43semidirect
846. #3337C2×C43semidirect
847. #3337C2×C43semidirect
848. #3336C2×C43semidirect
849. #3327C2×C43semidirect
850. #3326C2×C43semidirect
851. #3323C2×C43semidirect
852. #3322C2×C43semidirect
853. #3301C2×C43semidirect
854. #3300C2×C43semidirect
855. #3297C2×C43semidirect
856. #3296C2×C43semidirect
857. #3232C2×C43semidirect
858. #3232C2×C43semidirect
859. #3204C2×C43semidirect
860. #3203C2×C43semidirect
861. #3201C2×C43semidirect
862. #3198C2×C43semidirect
863. #3102C2×C43semidirect
864. #3102C2×C43semidirect
865. #3099C2×C43semidirect
866. #3098C2×C43semidirect
867. #3097C2×C43semidirect
868. #3096C2×C43semidirect
869. #2979C2×C43semidirect
892. #553C22×C43semidirect
893. #553C22×C43semidirect
898. #552C22×C43semidirect
899. #552C22×C43semidirect
914. #537C22×C43semidirect
922. C2×#125C22×C43semidirect
924. #520C22×C43semidirect
925. C4×#41C22×C43semidirect
926. #499C22×C43semidirect
927. #499C22×C43semidirect
928. #499C22×C43semidirect
929. #499C22×C43semidirect
937. #485C22×C43semidirect
938. #485C22×C43semidirect
939. #485C22×C43semidirect
940. #485C22×C43semidirect
941. #485C22×C43semidirect
943. #484C22×C43semidirect
944. #484C22×C43semidirect
945. #484C22×C43semidirect
946. #484C22×C43semidirect
948. #483C22×C43semidirect
949. #483C22×C43semidirect
950. #483C22×C43semidirect
951. #483C22×C43semidirect
959. #482C22×C43semidirect
964. #481C22×C43semidirect
969. #480C22×C43semidirect
970. #479C22×C43semidirect
971. #479C22×C43semidirect
972. #479C22×C43semidirect
973. #479C22×C43semidirect
974. #479C22×C43semidirect
975. #479C22×C43semidirect
980. #478C22×C43semidirect
981. #478C22×C43semidirect
983. #470C22×C43semidirect
989. #468C22×C43semidirect
991. #467C22×C43semidirect
997. #465C22×C43semidirect
1004. #452C22×C43semidirect
1005. #452C22×C43semidirect
1006. #451C22×C43semidirect
1012. #448C22×C43semidirect
1014. C4×Q16C22×C43semidirect
1015. C4×Q16C22×C43semidirect
1018. C4×SD16C22×C43semidirect
1019. C4×SD16C22×C43semidirect
1024. #436C22×C43semidirect
1025. #436C22×C43semidirect
1028. C8×D4C22×C43semidirect
1029. C8×D4C22×C43semidirect
1030. #431C22×C43semidirect
1031. #431C22×C43semidirect
1033. #428C22×C43semidirect
1034. #428C22×C43semidirect
1035. #428C22×C43semidirect
1037. #427C22×C43semidirect
1038. C2×#107C22×C43semidirect
1039. C2×#106C22×C43semidirect
1040. #419C22×C43semidirect
1046. C2×#103C22×C43semidirect
1050. #408C22×C43semidirect
1051. #408C22×C43semidirect
1052. C43#61790direct (N × H)

Maximal subgroups

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

subgroupindex
C43×#35512
C43×#35122
C43×#33552
C43×#33522
C43×#33512
C43×#33392
C43×#33372
C43×#33362
C43×#33272
C43×#33262
C43×#33232
C43×#33222
C43×#33012
C43×#33002
C43×#32972
C43×#32962
C43×#32322
C43×#32042
C43×#32032
C43×#32012
C43×#31982
C43×#31022
C43×#30992
C43×#30982
C43×#30972
C43×#30962
C43×#29792
#6179043