Finite Group Databasebeta

← C43×#61681 #24981698

Subgroups — C43×#61681 #24981698

Order 11008.

2036 conjugacy classes of subgroups.

The subgroup lattice has 1864 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C43×#3551C211yesmaximal, characteristic, complemented
2C43×#3497C211yesmaximal, characteristic, complemented
3C43×#3327C211yesmaximal, characteristic, complemented
4C43×#3326C211yesmaximal, characteristic, complemented
5C43×#3320C211yesmaximal, characteristic, complemented
6C43×#3317C211yesmaximal, characteristic, complemented
7C43×#3312C211yesmaximal, characteristic, complemented
8C43×#3309C211yesmaximal, characteristic, complemented
9C43×#3301C211yesmaximal, characteristic, complemented
10C43×#3300C211yesmaximal, characteristic, complemented
11C43×#3285C211yesmaximal, characteristic, complemented
12C43×#3282C211yesmaximal, characteristic, complemented
13C43×#3277C211yesmaximal, characteristic, complemented
14C43×#3275C211yesmaximal, characteristic, complemented
15C43×#3271C211yesmaximal, characteristic, complemented
16C43×#3270C211yesmaximal, characteristic, complemented
17C43×#3268C211yesmaximal, characteristic, complemented
18C43×#3266C211yesmaximal, characteristic, complemented
19C43×#3219C211yesmaximal, characteristic, complemented
20C43×#3212C211yesmaximal, characteristic, complemented
21C43×#3204C211yesmaximal, characteristic, complemented
22C43×#3203C211yesmaximal, characteristic, complemented
23C43×#3201C211yesmaximal, characteristic, complemented
24C43×#3198C211yesmaximal, characteristic, complemented
25C43×#3117C211yesmaximal, characteristic, complemented
26C43×#3108C211yesmaximal, characteristic, complemented
27C43×#3013C211yesmaximal, characteristic, complemented
28C43×#3013C211yesmaximal, characteristic, complemented
29C43×#3011C211yesmaximal, characteristic, complemented
30C43×#3010C211yesmaximal, characteristic, complemented
31C43×#2981C211yesmaximal, characteristic, complemented
32C2×2−1+4×C43C2211yescharacteristic
33C2×2−1+4×C43C2211yescharacteristic, complemented
34C2×#137×C43C2211yescharacteristic
35C2×#137×C43C2211yescharacteristic
36C2×#137×C43C2211yescharacteristic, complemented
37C2×AGL(1,ℤ/8)×C43C2211yescharacteristic
38C2×#135×C43C2211yescharacteristic
39C2×#135×C43C2211yescharacteristic
40C22×Q16×C43C2211yescharacteristic, complemented
41C22×SD16×C43C2211yescharacteristic
42C43×#563—21no—
43C43×#560—21no—
44C43×#555—21no—
45C43×#553C2211yescharacteristic
46C43×#553C2211yescharacteristic
47C43×#552C2211yescharacteristic
48C43×#552C2211yescharacteristic
49C43×#551—21no—
50C43×#550—21no—
51C43×#550C2211yescharacteristic
52C43×#550C2211yescharacteristic, complemented
53D4×Q8×C43—21no—
54D4×Q8×C43C2211yescharacteristic
55D4×Q8×C43C2211yescharacteristic, complemented
56C43×#548—21no—
57C43×#548—21no—
58C43×#548C2211yescharacteristic
59C43×#548C2211yescharacteristic
60C43×#548C2211yescharacteristic
61C43×#548C2211yescharacteristic
62C43×#548C2211yescharacteristic, complemented
63C43×#548C2211yescharacteristic, complemented
64C43×#546C2211yescharacteristic
65C43×#546C2211yescharacteristic
66C43×#540—21no—
67C43×#540—21no—
68C43×#538—21no—
69C43×#538—21no—
70C43×#537—21no—
71C43×#537—21no—
72C43×#537C2211yescharacteristic
73C43×#537C2211yescharacteristic
74C43×#537C2211yescharacteristic
75C43×#537C2211yescharacteristic, complemented
76C43×#536C2211yescharacteristic
77C43×#535C2211yescharacteristic
78C43×#532—21no—
79C43×#532—21no—
80C43×#532C2211yescharacteristic
81C43×#532C2211yescharacteristic, complemented
82C43×#529C2211yescharacteristic
83C43×#529C2211yescharacteristic
84C2×C4×Q8×C43C2211yescharacteristic, complemented
85C43×#497C2211yescharacteristic
86C43×#496C2211yescharacteristic
87C43×#495C2211yescharacteristic
88C43×#495C2211yescharacteristic
89C43×#491C2211yescharacteristic, complemented
90C43×#490C2211yescharacteristic, complemented
91C43×#488C2211yescharacteristic, complemented
92C43×#488C2211yescharacteristic, complemented
93C43×#485C2211yescharacteristic
94C43×#485C2211yescharacteristic, complemented
95C43×#484C2211yescharacteristic, complemented
96C43×#484C2211yescharacteristic, complemented
97C43×#483C2211yescharacteristic, complemented
98C43×#483C2211yescharacteristic, complemented
99C43×#482C2211yescharacteristic
100C43×#482C2211yescharacteristic, complemented
101C43×#481C2211yescharacteristic
102C43×#481C2211yescharacteristic, complemented
103C43×#480C2211yescharacteristic
104C43×#480C2211yescharacteristic, complemented
105C43×#479C2211yescharacteristic, complemented
106C43×#479C2211yescharacteristic, complemented
107C43×#479C2211yescharacteristic, complemented
108C43×#479C2211yescharacteristic, complemented
109C43×#470C2211yescharacteristic
110C43×#470C2211yescharacteristic, complemented
111C43×#469C2211yescharacteristic
112C43×#469C2211yescharacteristic
113C43×#468C2211yescharacteristic
114C43×#468C2211yescharacteristic
115C43×#468C2211yescharacteristic
116C43×#468C2211yescharacteristic, complemented
117C43×#467C2211yescharacteristic
118C43×#467C2211yescharacteristic, complemented
119C43×#466C2211yescharacteristic
120C43×#466C2211yescharacteristic
121C43×#465C2211yescharacteristic
122C43×#465C2211yescharacteristic
123C43×#465C2211yescharacteristic
124C43×#465C2211yescharacteristic, complemented
125C43×#464C2211yescharacteristic
126C43×#464C2211yescharacteristic
127C43×#464C2211yescharacteristic
128C43×#464C2211yescharacteristic
129C43×#464C2211yescharacteristic, complemented
130C43×#464C2211yescharacteristic, complemented
131C43×#463C2211yescharacteristic
132C43×#463C2211yescharacteristic
133C43×#462C2211yescharacteristic, complemented
134C43×#461C2211yescharacteristic
135C43×#460C2211yescharacteristic, complemented
136C43×#459C2211yescharacteristic
137C43×#452C2211yescharacteristic
138C43×#452C2211yescharacteristic
139C43×#452C2211yescharacteristic
140C43×#452C2211yescharacteristic
141C43×#452C2211yescharacteristic, complemented
142C43×#452C2211yescharacteristic, complemented
143C43×#452C2211yescharacteristic, complemented
144C43×#452C2211yescharacteristic, complemented
145C43×#452C2211yescharacteristic, complemented
146C43×#452C2211yescharacteristic, complemented
147C43×#451C2211yescharacteristic
148C43×#451C2211yescharacteristic
149C43×#451C2211yescharacteristic, complemented
150C43×#451C2211yescharacteristic, complemented
151C43×#451C2211yescharacteristic, complemented
152C43×#451C2211yescharacteristic, complemented
153C43×#451C2211yescharacteristic, complemented
154C43×#450C2211yescharacteristic
155C43×#449C2211yescharacteristic
156C43×#449C2211yescharacteristic
157C43×#449C2211yescharacteristic
158C43×#449C2211yescharacteristic
159C43×#449C2211yescharacteristic
160C43×#449C2211yescharacteristic
161C43×#449C2211yescharacteristic
162C43×#449C2211yescharacteristic
163C43×#449C2211yescharacteristic
164C43×#449C2211yescharacteristic
165C43×#448C2211yescharacteristic
166C43×#448C2211yescharacteristic
167C43×#448C2211yescharacteristic
168C43×#448C2211yescharacteristic
169C43×#448C2211yescharacteristic
170C43×#448C2211yescharacteristic
171C43×#448C2211yescharacteristic, complemented
172C43×#447C2211yescharacteristic
173C43×#441C2211yescharacteristic, complemented
174C43×#441C2211yescharacteristic, complemented
175C43×#440C2211yescharacteristic
176C43×#440C2211yescharacteristic
177C4×Q16×C43C2211yescharacteristic, complemented
178C4×Q16×C43C2211yescharacteristic, complemented
179C4×SD16×C43C2211yescharacteristic
180C4×SD16×C43C2211yescharacteristic
181C43×#436C2211yescharacteristic
182C43×#436C2211yescharacteristic, complemented
183C43×#435C2211yescharacteristic
184C43×#435C2211yescharacteristic
185C43×#435C2211yescharacteristic, complemented
186C43×#435C2211yescharacteristic, complemented
187C8×D4×C43C2211yescharacteristic
188C8×D4×C43C2211yescharacteristic, complemented
189C43×#432C2211yescharacteristic, complemented
190C43×#431C2211yescharacteristic, complemented
191C43×#419C2211yescharacteristic
192C43×#419C2211yescharacteristic, complemented
193C43×#417C2211yescharacteristic, complemented
194C43×#417C2211yescharacteristic, complemented
195C43×#416C2211yescharacteristic
196C43×#416C2211yescharacteristic, complemented
197C2×#103×C43C2211yescharacteristic, complemented
198C2×#103×C43C2211yescharacteristic, complemented
199C43×#408C2211yescharacteristic
200C43×#408C2211yescharacteristic
201C43×#408C2211yescharacteristic, complemented
202C43×#408C2211yescharacteristic, complemented
2032−1+4×C43—42no—
2042−1+4×C43—42no—
2052−1+4×C43—42no—
2062−1+4×C43—42no—
207C2×#41×C43—21no—
208C2×#41×C43—21no—
209C2×#41×C43—21no—
210C2×#41×C43—21no—
211C2×#41×C43—21no—
212C2×#41×C43—21no—
213C2×#41×C43C2311yescharacteristic
214C2×#41×C43C2311yescharacteristic
215C2×#41×C43C2311yescharacteristic
216C2×#41×C43C2311yescharacteristic
217C2×#41×C43C2311yescharacteristic
218C2×#41×C43C2311yescharacteristic
219C2×#41×C43C2311yescharacteristic
220C2×#41×C43C2311yescharacteristic
221C2×#41×C43C2311yescharacteristic
222C2×#41×C43C2311yescharacteristic
223C22×Q8×C43—21no—
224C22×Q8×C43—21no—
225C22×Q8×C43C2311yescharacteristic
226C22×Q8×C43C2311yescharacteristic
227C22×Q8×C43C2311yescharacteristic
228C22×Q8×C43C2311yescharacteristic
229C22×Q8×C43C2311yescharacteristic
230C22×Q8×C43C2311yescharacteristic
231C22×D4×C43C2311yescharacteristic
232#137×C43—42no—
233#137×C43—42no—
234#137×C43—42no—
235AGL(1,ℤ/8)×C43—42no—
236#135×C43—42no—
237#135×C43—42no—
238C2×Q16×C43—42no—
239C2×Q16×C43C2311yescharacteristic
240C2×Q16×C43C2311yescharacteristic
241C2×Q16×C43C2311yescharacteristic
242C2×Q16×C43C2311yescharacteristic
243C2×Q16×C43C2311yescharacteristic
244C2×Q16×C43C2311yescharacteristic
245C2×Q16×C43C2311yescharacteristic
246C2×Q16×C43C2311yescharacteristic
247C2×SD16×C43—42no—
248C2×SD16×C43C2311yescharacteristic
249C2×SD16×C43C2311yescharacteristic
250C2×SD16×C43C2311yescharacteristic
251C2×SD16×C43C2311yescharacteristic
252C2×SD16×C43C2311yescharacteristic
253C2×SD16×C43C2311yescharacteristic
254C2×SD16×C43C2311yescharacteristic
255C2×SD16×C43C2311yescharacteristic
256C2×SD16×C43C2311yescharacteristic
257C2×SD16×C43C2311yescharacteristic
258C2×SD16×C43C2311yescharacteristic
259C2×SD16×C43C2311yescharacteristic
260C2×D8×C43C2311yescharacteristic
261C2×D8×C43C2311yescharacteristic
262C2×D8×C43C2311yescharacteristic
263C2×D8×C43C2311yescharacteristic
264C2×M16×C43C2311yescharacteristic
265C2×M16×C43C2311yescharacteristic
266C2×M16×C43C2311yescharacteristic
267C2×M16×C43C2311yescharacteristic
268C22×C8×C43C2311yescharacteristic
269C22×C8×C43C2311yescharacteristic
270C22×C8×C43C2311yescharacteristic
271C22×C8×C43C2311yescharacteristic
272C4⋊Q8×C43—21no—
273C4⋊Q8×C43—21no—
274C4⋊Q8×C43—21no—
275C4⋊Q8×C43D411yescharacteristic
276C4⋊Q8×C43C2311yescharacteristic
277#127×C43—21no—
278#127×C43—21no—
279#127×C43—21no—
280#127×C43D411yescharacteristic
281#127×C43C2311yescharacteristic
282#126×C43—21no—
283#126×C43—21no—
284#126×C43—21no—
285#126×C43—21no—
286#126×C43—21no—
287#126×C43—21no—
288#125×C43—21no—
289#125×C43—21no—
290#125×C43C2311yescharacteristic
291#125×C43C2311yescharacteristic
292#124×C43—21no—
293#124×C43—21no—
294#124×C43—21no—
295#124×C43—21no—
296#124×C43—21no—
297#124×C43—21no—
298#124×C43—21no—
299#124×C43—21no—
300#124×C43D411yescharacteristic
301#124×C43D411yescharacteristic
302#124×C43C2311yescharacteristic
303#124×C43C2311yescharacteristic
304#124×C43C2311yescharacteristic
305#124×C43C2311yescharacteristic
306#123×C43—21no—
307#123×C43—21no—
308#123×C43—21no—
309#123×C43—21no—
310#123×C43—21no—
311#123×C43—21no—
312#123×C43—21no—
313#123×C43—21no—
314#123×C43—21no—
315#123×C43—21no—
316C22⋊Q8×C43—21no—
317C22⋊Q8×C43—21no—
318C22⋊Q8×C43—21no—
319C22⋊Q8×C43—21no—
320C22⋊Q8×C43—21no—
321C22⋊Q8×C43—21no—
322C22⋊Q8×C43—21no—
323C22⋊Q8×C43—21no—
324C22⋊Q8×C43—21no—
325C22⋊Q8×C43—21no—
326C22⋊Q8×C43—21no—
327C22⋊Q8×C43—21no—
328C22⋊Q8×C43—21no—
329C22⋊Q8×C43—21no—
330C22⋊Q8×C43C2311yescharacteristic
331C22⋊Q8×C43C2311yescharacteristic
332C22⋊Q8×C43C2311yescharacteristic
333C22⋊Q8×C43C2311yescharacteristic
334C22⋊Q8×C43C2311yescharacteristic
335C22⋊Q8×C43C2311yescharacteristic
336C22⋊Q8×C43C2311yescharacteristic
337C22⋊Q8×C43C2311yescharacteristic
338C22⋊Q8×C43C2311yescharacteristic
339C22⋊Q8×C43C2311yescharacteristic
340#121×C43—21no—
341#121×C43—21no—
342#121×C43—21no—
343#121×C43—21no—
344#121×C43—21no—
345#121×C43—21no—
346#121×C43—21no—
347#121×C43—21no—
348#121×C43—21no—
349#121×C43—21no—
350#121×C43—21no—
351#121×C43—21no—
352#121×C43—21no—
353#121×C43—21no—
354#121×C43—21no—
355#121×C43—21no—
356#121×C43—21no—
357#121×C43—21no—
358#121×C43—21no—
359#121×C43—21no—
360#121×C43—21no—
361#121×C43—21no—
362#121×C43—21no—
363#121×C43—21no—
364#121×C43—21no—
365#121×C43—21no—
366#121×C43—21no—
367#121×C43—21no—
368#121×C43D411yescharacteristic
369#121×C43D411yescharacteristic
370#121×C43D411yescharacteristic
371#121×C43D411yescharacteristic
372#121×C43C2311yescharacteristic
373#121×C43C2311yescharacteristic
374#121×C43C2311yescharacteristic
375#121×C43C2311yescharacteristic
376#121×C43C2311yescharacteristic
377#121×C43C2311yescharacteristic
378#121×C43C2311yescharacteristic
379#121×C43C2311yescharacteristic
380#121×C43C2311yescharacteristic
381#121×C43C2311yescharacteristic
382#120×C43—21no—
383#120×C43—21no—
384#120×C43—21no—
385#120×C43—21no—
386C4×Q8×C43—21no—
387C4×Q8×C43—21no—
388C4×Q8×C43C2311yescharacteristic
389C4×Q8×C43C2311yescharacteristic
390C4×Q8×C43C2311yescharacteristic
391C4×Q8×C43C2311yescharacteristic
392C4×Q8×C43C2311yescharacteristic
393C4×Q8×C43C2311yescharacteristic
394C4×D4×C43—21no—
395C4×D4×C43—21no—
396C4×D4×C43—21no—
397C4×D4×C43—21no—
398C4×D4×C43—21no—
399C4×D4×C43—21no—
400C4×D4×C43—21no—
401C4×D4×C43—21no—
402C4×D4×C43—21no—
403C4×D4×C43—21no—
404C4×D4×C43—21no—
405C4×D4×C43—21no—
406C4×D4×C43—21no—
407C4×D4×C43—21no—
408C4×D4×C43—21no—
409C4×D4×C43—21no—
410C4×D4×C43C2311yescharacteristic
411C4×D4×C43C2311yescharacteristic
412C4×D4×C43C2311yescharacteristic
413C4×D4×C43C2311yescharacteristic
414C4×D4×C43C2311yescharacteristic
415C4×D4×C43C2311yescharacteristic
416#117×C43—21no—
417#117×C43—21no—
418#117×C43—21no—
419#117×C43—21no—
420#117×C43C2311yescharacteristic
421#117×C43C2311yescharacteristic
422C2×C4⋊C4×C43—21no—
423C2×C4⋊C4×C43C2311yescharacteristic
424C2×C4⋊C4×C43C2311yescharacteristic
425C2×C4⋊C4×C43C2311yescharacteristic
426C2×C22⋊C4×C43—21no—
427C2×C22⋊C4×C43—21no—
428C2×C42×C43—21no—
429C2×C42×C43C2311yescharacteristic
430#107×C43C2311yescharacteristic
431#107×C43C2311yescharacteristic
432#107×C43C2311yescharacteristic
433#107×C43C2311yescharacteristic
434#106×C43C2311yescharacteristic
435#106×C43C2311yescharacteristic
436#106×C43C2311yescharacteristic
437#106×C43C2311yescharacteristic
438C4⋊C8×C43C2311yescharacteristic
439C4⋊C8×C43C2311yescharacteristic
440C4⋊C8×C43C2311yescharacteristic
441C4⋊C8×C43C2311yescharacteristic
442#103×C43C2311yescharacteristic
443#103×C43C2311yescharacteristic
444#103×C43C2311yescharacteristic
445#103×C43C2311yescharacteristic
446#103×C43C2311yescharacteristic
447#103×C43C2311yescharacteristic
448#103×C43C2311yescharacteristic
449#103×C43C2311yescharacteristic
450#103×C43C2311yescharacteristic
451#103×C43C2311yescharacteristic
452#103×C43C2311yescharacteristic
453#103×C43C2311yescharacteristic
454#103×C43C2311yescharacteristic
455#103×C43C2311yescharacteristic
456#103×C43C2311yescharacteristic
457#103×C43C2311yescharacteristic
458#103×C43C2311yescharacteristic
459#103×C43C2311yescharacteristic
460#103×C43C2311yescharacteristic
461#103×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
472#102×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474C22⋊C8×C43C2311yescharacteristic
475C22⋊C8×C43C2311yescharacteristic
476C22⋊C8×C43C2311yescharacteristic
477C22⋊C8×C43C2311yescharacteristic
478C22⋊C8×C43C2311yescharacteristic
479C22⋊C8×C43C2311yescharacteristic
480C22⋊C8×C43C2311yescharacteristic
481C22⋊C8×C43C2311yescharacteristic
482C22⋊C8×C43C2311yescharacteristic
483C22⋊C8×C43C2311yescharacteristic
484C22⋊C8×C43C2311yescharacteristic
485C22⋊C8×C43C2311yescharacteristic
486#97×C43C2311yescharacteristic
487#97×C43C2311yescharacteristic
488C4×C8×C43C2311yescharacteristic
489C4×C8×C43C2311yescharacteristic
490C24×C43—21no—
491#41×C43—22no—
492#41×C43—22no—
493#41×C43—22no—
494#41×C43—22no—
495#41×C43—41no—
496#41×C43—41no—
497#41×C43—41no—
498#41×C43—41no—
499#41×C43—41no—
500#41×C43—41no—
501#41×C43—41no—
502#41×C43—41no—
503#41×C43—41no—
504#41×C43—41no—
505#41×C43—41no—
506#41×C43—41no—
507#41×C43—44no—
508#41×C43—44no—
509#41×C43—44no—
510#41×C43—44no—
511#41×C43—41no—
512#41×C43—41no—
513#41×C43—41no—
514#41×C43—41no—
515#41×C43—44no—
516#41×C43—44no—
517C2×Q8×C43—22no—
518C2×Q8×C43—22no—
519C2×Q8×C43—21no—
520C2×Q8×C43—21no—
521C2×Q8×C43—21no—
522C2×Q8×C43—21no—
523C2×Q8×C43—21no—
524C2×Q8×C43—21no—
525C2×Q8×C43—22no—
526C2×Q8×C43—22no—
527C2×Q8×C43—22no—
528C2×Q8×C43—22no—
529C2×Q8×C43—41no—
530C2×Q8×C43—41no—
531C2×Q8×C43—41no—
532C2×Q8×C43—41no—
533C2×Q8×C43—41no—
534C2×Q8×C43—41no—
535C2×Q8×C43—44no—
536C2×Q8×C43—44no—
537C2×Q8×C43C2×D411yescharacteristic
538C2×Q8×C43C2×D411yescharacteristic
539C2×Q8×C43C2411yescharacteristic
540C2×Q8×C43C2411yescharacteristic
541C2×Q8×C43C2411yescharacteristic
542C2×Q8×C43C2411yescharacteristic
543C2×Q8×C43C2411yescharacteristic
544C2×Q8×C43C2411yescharacteristic
545C2×D4×C43—21no—
546C2×D4×C43—21no—
547C2×D4×C43—21no—
548C2×D4×C43—21no—
549C2×D4×C43—21no—
550C2×D4×C43—21no—
551C2×D4×C43—21no—
552C2×D4×C43—21no—
553C2×D4×C43—21no—
554C2×D4×C43—21no—
555C2×D4×C43—21no—
556C2×D4×C43—21no—
557C2×D4×C43—21no—
558C2×D4×C43—21no—
559C2×D4×C43—21no—
560C2×D4×C43—21no—
561C2×D4×C43—21no—
562C2×D4×C43—21no—
563C2×D4×C43—21no—
564C2×D4×C43—21no—
565C2×D4×C43—21no—
566C2×D4×C43—41no—
567C2×D4×C43—41no—
568C2×D4×C43C2×D411yescharacteristic
569C2×D4×C43C2×D411yescharacteristic
570C2×D4×C43C2×D411yescharacteristic
571C2×D4×C43C2×D411yescharacteristic
572C2×D4×C43C2×D411yescharacteristic
573C2×D4×C43C2×D411yescharacteristic
574C2×D4×C43C2×D411yescharacteristic
575C2×D4×C43C2×D411yescharacteristic
576C2×D4×C43C2×D411yescharacteristic
577C2×D4×C43C2×D411yescharacteristic
578C2×D4×C43C2411yescharacteristic
579C2×D4×C43C2411yescharacteristic
580C2×D4×C43C2411yescharacteristic
581C2×D4×C43C2411yescharacteristic
582C22×C4×C43—21no—
583C22×C4×C43—21no—
584C22×C4×C43—21no—
585C22×C4×C43—21no—
586C22×C4×C43—21no—
587C22×C4×C43—21no—
588C22×C4×C43—21no—
589C22×C4×C43—21no—
590C22×C4×C43—21no—
591C22×C4×C43—21no—
592C22×C4×C43—21no—
593C22×C4×C43—21no—
594C22×C4×C43—21no—
595C22×C4×C43—21no—
596C22×C4×C43—21no—
597C22×C4×C43—21no—
598C22×C4×C43—21no—
599C22×C4×C43—21no—
600C22×C4×C43—21no—
601C22×C4×C43C2×D411yescharacteristic
602C22×C4×C43C2×D411yescharacteristic
603C22×C4×C43C2411yescharacteristic
604C22×C4×C43C2411yescharacteristic
605C22×C4×C43C2411yescharacteristic
606C22×C4×C43C2411yescharacteristic
607C22×C4×C43C2411yescharacteristic
608Q16×C43—22no—
609Q16×C43—22no—
610Q16×C43—22no—
611Q16×C43—22no—
612Q16×C43—41no—
613Q16×C43—41no—
614Q16×C43—41no—
615Q16×C43—41no—
616SD16×C43—22no—
617SD16×C43—22no—
618SD16×C43—22no—
619SD16×C43—22no—
620SD16×C43—41no—
621SD16×C43—41no—
622SD16×C43—41no—
623SD16×C43—41no—
624SD16×C43—41no—
625SD16×C43—41no—
626SD16×C43—41no—
627SD16×C43—41no—
628D8×C43—41no—
629D8×C43—41no—
630D8×C43—41no—
631D8×C43—41no—
632M16×C43—41no—
633M16×C43—41no—
634M16×C43—41no—
635M16×C43—41no—
636C2×C8×C43—41no—
637C2×C8×C43—41no—
638C2×C8×C43—41no—
639C2×C8×C43—41no—
640C2×C8×C43C2411yescharacteristic
641C2×C8×C43C2411yescharacteristic
642C2×C8×C43C2411yescharacteristic
643C2×C8×C43C2411yescharacteristic
644C2×C8×C43C2411yescharacteristic
645C2×C8×C43C2411yescharacteristic
646C2×C8×C43C2411yescharacteristic
647C2×C8×C43C2411yescharacteristic
648C4⋊C4×C43—21no—
649C4⋊C4×C43—21no—
650C4⋊C4×C43—21no—
651C4⋊C4×C43—21no—
652C4⋊C4×C43—21no—
653C4⋊C4×C43—21no—
654C4⋊C4×C43—21no—
655C4⋊C4×C43—21no—
656C4⋊C4×C43—21no—
657C4⋊C4×C43—21no—
658C4⋊C4×C43—21no—
659C4⋊C4×C43—21no—
660C4⋊C4×C43—21no—
661C4⋊C4×C43—21no—
662C4⋊C4×C43—21no—
663C4⋊C4×C43—21no—
664C4⋊C4×C43—21no—
665C4⋊C4×C43—21no—
666C4⋊C4×C43—21no—
667C4⋊C4×C43—21no—
668C4⋊C4×C43—21no—
669C4⋊C4×C43—21no—
670C4⋊C4×C43—21no—
671C4⋊C4×C43—21no—
672C4⋊C4×C43—21no—
673C4⋊C4×C43C2×D411yescharacteristic
674C4⋊C4×C43C2×D411yescharacteristic
675C4⋊C4×C43C2×D411yescharacteristic
676C4⋊C4×C43C2×D411yescharacteristic
677C4⋊C4×C43C2411yescharacteristic
678C4⋊C4×C43C2411yescharacteristic
679C4⋊C4×C43C2411yescharacteristic
680C4⋊C4×C43C2411yescharacteristic
681C4⋊C4×C43C2411yescharacteristic
682C4⋊C4×C43C2411yescharacteristic
683C22⋊C4×C43—21no—
684C22⋊C4×C43—21no—
685C22⋊C4×C43—21no—
686C22⋊C4×C43—21no—
687C22⋊C4×C43—21no—
688C22⋊C4×C43—21no—
689C22⋊C4×C43—21no—
690C22⋊C4×C43—21no—
691C22⋊C4×C43—21no—
692C22⋊C4×C43—21no—
693C22⋊C4×C43—21no—
694C22⋊C4×C43—21no—
695C22⋊C4×C43—21no—
696C22⋊C4×C43—21no—
697C22⋊C4×C43—21no—
698C22⋊C4×C43—21no—
699C22⋊C4×C43—21no—
700C22⋊C4×C43—21no—
701C22⋊C4×C43—21no—
702C22⋊C4×C43—21no—
703C22⋊C4×C43—21no—
704C22⋊C4×C43—21no—
705C22⋊C4×C43—21no—
706C22⋊C4×C43—21no—
707C22⋊C4×C43—21no—
708C22⋊C4×C43—21no—
709C22⋊C4×C43—21no—
710C22⋊C4×C43—21no—
711C22⋊C4×C43—21no—
712C22⋊C4×C43—21no—
713C22⋊C4×C43—21no—
714C22⋊C4×C43—21no—
715C22⋊C4×C43C2×D411yescharacteristic
716C22⋊C4×C43C2×D411yescharacteristic
717C22⋊C4×C43C2×D411yescharacteristic
718C22⋊C4×C43C2×D411yescharacteristic
719C22⋊C4×C43C2×D411yescharacteristic
720C22⋊C4×C43C2×D411yescharacteristic
721C22⋊C4×C43C2×D411yescharacteristic
722C22⋊C4×C43C2×D411yescharacteristic
723C42×C43—21no—
724C42×C43—21no—
725C42×C43—21no—
726C42×C43—21no—
727C42×C43—21no—
728C42×C43—21no—
729C42×C43—21no—
730C42×C43—21no—
731C42×C43C2×D411yescharacteristic
732C42×C43C2×D411yescharacteristic
733C42×C43C2411yescharacteristic
734C42×C43C2411yescharacteristic
735C23×C43—21no—
736C23×C43—21no—
737C23×C43—21no—
738C23×C43—21no—
739C23×C43—81no—
740C23×C43—81no—
741C23×C43—81no—
742C23×C43C22×D411yescharacteristic
743C23×C43C22×D411yescharacteristic
744C23×C43C22×D411yescharacteristic
745C23×C43C22×D411yescharacteristic
746C23×C43C22×D411yescharacteristic
747Q8×C43—24no—
748Q8×C43—21no—
749Q8×C43—21no—
750Q8×C43—21no—
751Q8×C43—21no—
752Q8×C43—21no—
753Q8×C43—21no—
754Q8×C43—21no—
755Q8×C43—21no—
756Q8×C43—21no—
757Q8×C43—21no—
758Q8×C43—41no—
759Q8×C43—41no—
760Q8×C43—42no—
761Q8×C43—42no—
762Q8×C43—42no—
763Q8×C43—42no—
764Q8×C43—81no—
765Q8×C43H(5,𝔽2)12yes—
766Q8×C43H(5,𝔽2)12yes—
767D4×C43—21no—
768D4×C43—21no—
769D4×C43—21no—
770D4×C43—21no—
771D4×C43—21no—
772D4×C43—21no—
773D4×C43—21no—
774D4×C43—21no—
775D4×C43—41no—
776D4×C43—41no—
777D4×C43—41no—
778D4×C43—41no—
779D4×C43—41no—
780D4×C43—41no—
781D4×C43—41no—
782D4×C43—41no—
783D4×C43—41no—
784D4×C43—41no—
785D4×C43—42no—
786D4×C43—42no—
787D4×C43—42no—
788D4×C43—42no—
789D4×C43—42no—
790D4×C43—42no—
791D4×C43—42no—
792D4×C43—81no—
793D4×C43—81no—
794D4×C43—81no—
795D4×C43—81no—
796D4×C43—81no—
797D4×C43—81no—
798D4×C43—81no—
799D4×C43—81no—
800D4×C43—81no—
801D4×C43—81no—
802D4×C43—81no—
803D4×C43—81no—
804D4×C43—81no—
805D4×C43—81no—
806C2×C4×C43—24no—
807C2×C4×C43—21no—
808C2×C4×C43—21no—
809C2×C4×C43—21no—
810C2×C4×C43—21no—
811C2×C4×C43—21no—
812C2×C4×C43—21no—
813C2×C4×C43—21no—
814C2×C4×C43—21no—
815C2×C4×C43—21no—
816C2×C4×C43—21no—
817C2×C4×C43—21no—
818C2×C4×C43—21no—
819C2×C4×C43—21no—
820C2×C4×C43—21no—
821C2×C4×C43—21no—
822C2×C4×C43—21no—
823C2×C4×C43—21no—
824C2×C4×C43—21no—
825C2×C4×C43—21no—
826C2×C4×C43—21no—
827C2×C4×C43—21no—
828C2×C4×C43—21no—
829C2×C4×C43—41no—
830C2×C4×C43—41no—
831C2×C4×C43—42no—
832C2×C4×C43—42no—
833C2×C4×C43—42no—
834C2×C4×C43—42no—
835C2×C4×C43—42no—
836C2×C4×C43—42no—
837C2×C4×C43—42no—
838C2×C4×C43—42no—
839C2×C4×C43—42no—
840C2×C4×C43—42no—
841C2×C4×C43—81no—
842C2×C4×C43—81no—
843C2×C4×C43—81no—
844C2×C4×C43—81no—
845C2×C4×C43—81no—
846C2×C4×C43—81no—
847C2×C4×C43—81no—
848C2×C4×C43—81no—
849C2×C4×C43C22×D411yescharacteristic
850C2×C4×C43C22×D411yescharacteristic
851C2×C4×C43C22×D411yescharacteristic
852C2×C4×C43C22×D411yescharacteristic
853C2×C4×C43C22×D411yescharacteristic
854C2×C4×C43C22×D411yescharacteristic
855C2×C4×C43C22×D411yescharacteristic
856C2×C4×C43C22×D411yescharacteristic
857C2×C4×C43C22×D411yescharacteristic
858C2×C4×C43C2511yescharacteristic
859C8×C43—21no—
860C8×C43—21no—
861C8×C43—21no—
862C8×C43—21no—
863C8×C43—21no—
864C8×C43—21no—
865C8×C43—21no—
866C8×C43—21no—
867#61681C4311yesmaximal, characteristic, direct product factor, Sylow
868C22×C43—21no—
869C22×C43—21no—
870C22×C43—21no—
871C22×C43—21no—
872C22×C43—21no—
873C22×C43—21no—
874C22×C43—21no—
875C22×C43—21no—
876C22×C43—21no—
877C22×C43—21no—
878C22×C43—21no—
879C22×C43—21no—
880C22×C43—21no—
881C22×C43—21no—
882C22×C43—21no—
883C22×C43—41no—
884C22×C43—41no—
885C22×C43—41no—
886C22×C43—41no—
887C22×C43—41no—
888C22×C43—41no—
889C22×C43—41no—
890C22×C43—41no—
891C22×C43—41no—
892C22×C43—41no—
893C22×C43—41no—
894C22×C43—41no—
895C22×C43—162no—
896C22×C43C23×D411yescharacteristic
897C4×C43—21no—
898C4×C43—21no—
899C4×C43—21no—
900C4×C43—21no—
901C4×C43—22no—
902C4×C43—22no—
903C4×C43—21no—
904C4×C43—21no—
905C4×C43—21no—
906C4×C43—21no—
907C4×C43—21no—
908C4×C43—41no—
909C4×C43—41no—
910C4×C43—41no—
911C4×C43—41no—
912C4×C43—41no—
913C4×C43—41no—
914C4×C43—41no—
915C4×C43—41no—
916C4×C43—41no—
917C4×C43—41no—
918C4×C43C2×H(5,𝔽2)11yescharacteristic
919C4×C43C2×H(5,𝔽2)11yescharacteristic
920#3551C2×C4311yescharacteristic, complemented
921#3497C2×C4311yescharacteristic, complemented
922#3327C2×C4311yescharacteristic, complemented
923#3326C2×C4311yescharacteristic, complemented
924#3320C2×C4311yescharacteristic, complemented
925#3317C2×C4311yescharacteristic, complemented
926#3312C2×C4311yescharacteristic, complemented
927#3309C2×C4311yescharacteristic, complemented
928#3301C2×C4311yescharacteristic, complemented
929#3300C2×C4311yescharacteristic, complemented
930#3285C2×C4311yescharacteristic, complemented
931#3282C2×C4311yescharacteristic, complemented
932#3277C2×C4311yescharacteristic, complemented
933#3275C2×C4311yescharacteristic, complemented
934#3271C2×C4311yescharacteristic, complemented
935#3270C2×C4311yescharacteristic, complemented
936#3268C2×C4311yescharacteristic, complemented
937#3266C2×C4311yescharacteristic, complemented
938#3219C2×C4311yescharacteristic, complemented
939#3212C2×C4311yescharacteristic, complemented
940#3204C2×C4311yescharacteristic, complemented
941#3203C2×C4311yescharacteristic, complemented
942#3201C2×C4311yescharacteristic, complemented
943#3198C2×C4311yescharacteristic, complemented
944#3117C2×C4311yescharacteristic, complemented
945#3108C2×C4311yescharacteristic, complemented
946#3013C2×C4311yescharacteristic, complemented
947#3013C2×C4311yescharacteristic, complemented
948#3011C2×C4311yescharacteristic, complemented
949#3010C2×C4311yescharacteristic, complemented
950#2981C2×C4311yescharacteristic, complemented
951C2×C43—41no—
952C2×C43—41no—
953C2×C43—41no—
954C2×C43—41no—
955C2×C43—41no—
956C2×C43—81no—
957C2×C43—81no—
958C2×C43—81no—
959C2×C43—81no—
960C2×C43#348411yescharacteristic
961C2×C43#358411yescharacteristic
962C2×C43#358611yescharacteristic
963C2×2−1+4C22×C4311yescharacteristic
964C2×2−1+4C22×C4311yescharacteristic, complemented
965C2×#137C22×C4311yescharacteristic
966C2×#137C22×C4311yescharacteristic
967C2×#137C22×C4311yescharacteristic, complemented
968C2×AGL(1,ℤ/8)C22×C4311yescharacteristic
969C2×#135C22×C4311yescharacteristic
970C2×#135C22×C4311yescharacteristic
971C22×Q16C22×C4311yescharacteristic, complemented
972C22×SD16C22×C4311yescharacteristic
973#563—21no—
974#560—21no—
975#555—21no—
976#553C22×C4311yescharacteristic
977#553C22×C4311yescharacteristic
978#552C22×C4311yescharacteristic
979#552C22×C4311yescharacteristic
980#551—21no—
981#550—21no—
982#550C22×C4311yescharacteristic
983#550C22×C4311yescharacteristic, complemented
984D4×Q8—21no—
985D4×Q8C22×C4311yescharacteristic
986D4×Q8C22×C4311yescharacteristic, complemented
987#548—21no—
988#548—21no—
989#548C22×C4311yescharacteristic
990#548C22×C4311yescharacteristic
991#548C22×C4311yescharacteristic
992#548C22×C4311yescharacteristic
993#548C22×C4311yescharacteristic, complemented
994#548C22×C4311yescharacteristic, complemented
995#546C22×C4311yescharacteristic
996#546C22×C4311yescharacteristic
997#540—21no—
998#540—21no—
999#538—21no—
1000#538—21no—
1001#537—21no—
1002#537—21no—
1003#537C22×C4311yescharacteristic
1004#537C22×C4311yescharacteristic
1005#537C22×C4311yescharacteristic
1006#537C22×C4311yescharacteristic, complemented
1007#536C22×C4311yescharacteristic
1008#535C22×C4311yescharacteristic
1009#532—21no—
1010#532—21no—
1011#532C22×C4311yescharacteristic
1012#532C22×C4311yescharacteristic, complemented
1013#529C22×C4311yescharacteristic
1014#529C22×C4311yescharacteristic
1015C2×C4×Q8C22×C4311yescharacteristic, complemented
1016#497C22×C4311yescharacteristic
1017#496C22×C4311yescharacteristic
1018#495C22×C4311yescharacteristic
1019#495C22×C4311yescharacteristic
1020#491C22×C4311yescharacteristic, complemented
1021#490C22×C4311yescharacteristic, complemented
1022#488C22×C4311yescharacteristic, complemented
1023#488C22×C4311yescharacteristic, complemented
1024#485C22×C4311yescharacteristic
1025#485C22×C4311yescharacteristic, complemented
1026#484C22×C4311yescharacteristic, complemented
1027#484C22×C4311yescharacteristic, complemented
1028#483C22×C4311yescharacteristic, complemented
1029#483C22×C4311yescharacteristic, complemented
1030#482C22×C4311yescharacteristic
1031#482C22×C4311yescharacteristic, complemented
1032#481C22×C4311yescharacteristic
1033#481C22×C4311yescharacteristic, complemented
1034#480C22×C4311yescharacteristic
1035#480C22×C4311yescharacteristic, complemented
1036#479C22×C4311yescharacteristic, complemented
1037#479C22×C4311yescharacteristic, complemented
1038#479C22×C4311yescharacteristic, complemented
1039#479C22×C4311yescharacteristic, complemented
1040#470C22×C4311yescharacteristic
1041#470C22×C4311yescharacteristic, complemented
1042#469C22×C4311yescharacteristic
1043#469C22×C4311yescharacteristic
1044#468C22×C4311yescharacteristic
1045#468C22×C4311yescharacteristic
1046#468C22×C4311yescharacteristic
1047#468C22×C4311yescharacteristic, complemented
1048#467C22×C4311yescharacteristic
1049#467C22×C4311yescharacteristic, complemented
1050#466C22×C4311yescharacteristic
1051#466C22×C4311yescharacteristic
1052#465C22×C4311yescharacteristic
1053#465C22×C4311yescharacteristic
1054#465C22×C4311yescharacteristic
1055#465C22×C4311yescharacteristic, complemented
1056#464C22×C4311yescharacteristic
1057#464C22×C4311yescharacteristic
1058#464C22×C4311yescharacteristic
1059#464C22×C4311yescharacteristic
1060#464C22×C4311yescharacteristic, complemented
1061#464C22×C4311yescharacteristic, complemented
1062#463C22×C4311yescharacteristic
1063#463C22×C4311yescharacteristic
1064#462C22×C4311yescharacteristic, complemented
1065#461C22×C4311yescharacteristic
1066#460C22×C4311yescharacteristic, complemented
1067#459C22×C4311yescharacteristic
1068#452C22×C4311yescharacteristic
1069#452C22×C4311yescharacteristic
1070#452C22×C4311yescharacteristic
1071#452C22×C4311yescharacteristic
1072#452C22×C4311yescharacteristic, complemented
1073#452C22×C4311yescharacteristic, complemented
1074#452C22×C4311yescharacteristic, complemented
1075#452C22×C4311yescharacteristic, complemented
1076#452C22×C4311yescharacteristic, complemented
1077#452C22×C4311yescharacteristic, complemented
1078#451C22×C4311yescharacteristic
1079#451C22×C4311yescharacteristic
1080#451C22×C4311yescharacteristic, complemented
1081#451C22×C4311yescharacteristic, complemented
1082#451C22×C4311yescharacteristic, complemented
1083#451C22×C4311yescharacteristic, complemented
1084#451C22×C4311yescharacteristic, complemented
1085#450C22×C4311yescharacteristic
1086#449C22×C4311yescharacteristic
1087#449C22×C4311yescharacteristic
1088#449C22×C4311yescharacteristic
1089#449C22×C4311yescharacteristic
1090#449C22×C4311yescharacteristic
1091#449C22×C4311yescharacteristic
1092#449C22×C4311yescharacteristic
1093#449C22×C4311yescharacteristic
1094#449C22×C4311yescharacteristic
1095#449C22×C4311yescharacteristic
1096#448C22×C4311yescharacteristic
1097#448C22×C4311yescharacteristic
1098#448C22×C4311yescharacteristic
1099#448C22×C4311yescharacteristic
1100#448C22×C4311yescharacteristic
1101#448C22×C4311yescharacteristic
1102#448C22×C4311yescharacteristic, complemented
1103#447C22×C4311yescharacteristic
1104#441C22×C4311yescharacteristic, complemented
1105#441C22×C4311yescharacteristic, complemented
1106#440C22×C4311yescharacteristic
1107#440C22×C4311yescharacteristic
1108C4×Q16C22×C4311yescharacteristic, complemented
1109C4×Q16C22×C4311yescharacteristic, complemented
1110C4×SD16C22×C4311yescharacteristic
1111C4×SD16C22×C4311yescharacteristic
1112#436C22×C4311yescharacteristic
1113#436C22×C4311yescharacteristic, complemented
1114#435C22×C4311yescharacteristic
1115#435C22×C4311yescharacteristic
1116#435C22×C4311yescharacteristic, complemented
1117#435C22×C4311yescharacteristic, complemented
1118C8×D4C22×C4311yescharacteristic
1119C8×D4C22×C4311yescharacteristic, complemented
1120#432C22×C4311yescharacteristic, complemented
1121#431C22×C4311yescharacteristic, complemented
1122#419C22×C4311yescharacteristic
1123#419C22×C4311yescharacteristic, complemented
1124#417C22×C4311yescharacteristic, complemented
1125#417C22×C4311yescharacteristic, complemented
1126#416C22×C4311yescharacteristic
1127#416C22×C4311yescharacteristic, complemented
1128C2×#103C22×C4311yescharacteristic, complemented
1129C2×#103C22×C4311yescharacteristic, complemented
1130#408C22×C4311yescharacteristic
1131#408C22×C4311yescharacteristic
1132#408C22×C4311yescharacteristic, complemented
1133#408C22×C4311yescharacteristic, complemented
1134C43#6168111yescharacteristic, direct product factor, Sylow
11352−1+4—42no—
11362−1+4—42no—
11372−1+4—42no—
11382−1+4—42no—
1139C2×#41—21no—
1140C2×#41—21no—
1141C2×#41—21no—
1142C2×#41—21no—
1143C2×#41—21no—
1144C2×#41—21no—
1145C2×#41C23×C4311yescharacteristic
1146C2×#41C23×C4311yescharacteristic
1147C2×#41C23×C4311yescharacteristic
1148C2×#41C23×C4311yescharacteristic
1149C2×#41C23×C4311yescharacteristic
1150C2×#41C23×C4311yescharacteristic
1151C2×#41C23×C4311yescharacteristic
1152C2×#41C23×C4311yescharacteristic
1153C2×#41C23×C4311yescharacteristic
1154C2×#41C23×C4311yescharacteristic
1155C22×Q8—21no—
1156C22×Q8—21no—
1157C22×Q8C23×C4311yescharacteristic
1158C22×Q8C23×C4311yescharacteristic
1159C22×Q8C23×C4311yescharacteristic
1160C22×Q8C23×C4311yescharacteristic
1161C22×Q8C23×C4311yescharacteristic
1162C22×Q8C23×C4311yescharacteristic
1163C22×D4C23×C4311yescharacteristic
1164#137—42no—
1165#137—42no—
1166#137—42no—
1167AGL(1,ℤ/8)—42no—
1168#135—42no—
1169#135—42no—
1170C2×Q16—42no—
1171C2×Q16C23×C4311yescharacteristic
1172C2×Q16C23×C4311yescharacteristic
1173C2×Q16C23×C4311yescharacteristic
1174C2×Q16C23×C4311yescharacteristic
1175C2×Q16C23×C4311yescharacteristic
1176C2×Q16C23×C4311yescharacteristic
1177C2×Q16C23×C4311yescharacteristic
1178C2×Q16C23×C4311yescharacteristic
1179C2×SD16—42no—
1180C2×SD16C23×C4311yescharacteristic
1181C2×SD16C23×C4311yescharacteristic
1182C2×SD16C23×C4311yescharacteristic
1183C2×SD16C23×C4311yescharacteristic
1184C2×SD16C23×C4311yescharacteristic
1185C2×SD16C23×C4311yescharacteristic
1186C2×SD16C23×C4311yescharacteristic
1187C2×SD16C23×C4311yescharacteristic
1188C2×SD16C23×C4311yescharacteristic
1189C2×SD16C23×C4311yescharacteristic
1190C2×SD16C23×C4311yescharacteristic
1191C2×SD16C23×C4311yescharacteristic
1192C2×D8C23×C4311yescharacteristic
1193C2×D8C23×C4311yescharacteristic
1194C2×D8C23×C4311yescharacteristic
1195C2×D8C23×C4311yescharacteristic
1196C2×M16C23×C4311yescharacteristic
1197C2×M16C23×C4311yescharacteristic
1198C2×M16C23×C4311yescharacteristic
1199C2×M16C23×C4311yescharacteristic
1200C22×C8C23×C4311yescharacteristic
1201C22×C8C23×C4311yescharacteristic
1202C22×C8C23×C4311yescharacteristic
1203C22×C8C23×C4311yescharacteristic
1204C4⋊Q8—21no—
1205C4⋊Q8—21no—
1206C4⋊Q8—21no—
1207C4⋊Q8D4×C4311yescharacteristic
1208C4⋊Q8C23×C4311yescharacteristic
1209#127—21no—
1210#127—21no—
1211#127—21no—
1212#127D4×C4311yescharacteristic
1213#127C23×C4311yescharacteristic
1214#126—21no—
1215#126—21no—
1216#126—21no—
1217#126—21no—
1218#126—21no—
1219#126—21no—
1220#125—21no—
1221#125—21no—
1222#125C23×C4311yescharacteristic
1223#125C23×C4311yescharacteristic
1224#124—21no—
1225#124—21no—
1226#124—21no—
1227#124—21no—
1228#124—21no—
1229#124—21no—
1230#124—21no—
1231#124—21no—
1232#124D4×C4311yescharacteristic
1233#124D4×C4311yescharacteristic
1234#124C23×C4311yescharacteristic
1235#124C23×C4311yescharacteristic
1236#124C23×C4311yescharacteristic
1237#124C23×C4311yescharacteristic
1238#123—21no—
1239#123—21no—
1240#123—21no—
1241#123—21no—
1242#123—21no—
1243#123—21no—
1244#123—21no—
1245#123—21no—
1246#123—21no—
1247#123—21no—
1248C22⋊Q8—21no—
1249C22⋊Q8—21no—
1250C22⋊Q8—21no—
1251C22⋊Q8—21no—
1252C22⋊Q8—21no—
1253C22⋊Q8—21no—
1254C22⋊Q8—21no—
1255C22⋊Q8—21no—
1256C22⋊Q8—21no—
1257C22⋊Q8—21no—
1258C22⋊Q8—21no—
1259C22⋊Q8—21no—
1260C22⋊Q8—21no—
1261C22⋊Q8—21no—
1262C22⋊Q8C23×C4311yescharacteristic
1263C22⋊Q8C23×C4311yescharacteristic
1264C22⋊Q8C23×C4311yescharacteristic
1265C22⋊Q8C23×C4311yescharacteristic
1266C22⋊Q8C23×C4311yescharacteristic
1267C22⋊Q8C23×C4311yescharacteristic
1268C22⋊Q8C23×C4311yescharacteristic
1269C22⋊Q8C23×C4311yescharacteristic
1270C22⋊Q8C23×C4311yescharacteristic
1271C22⋊Q8C23×C4311yescharacteristic
1272#121—21no—
1273#121—21no—
1274#121—21no—
1275#121—21no—
1276#121—21no—
1277#121—21no—
1278#121—21no—
1279#121—21no—
1280#121—21no—
1281#121—21no—
1282#121—21no—
1283#121—21no—
1284#121—21no—
1285#121—21no—
1286#121—21no—
1287#121—21no—
1288#121—21no—
1289#121—21no—
1290#121—21no—
1291#121—21no—
1292#121—21no—
1293#121—21no—
1294#121—21no—
1295#121—21no—
1296#121—21no—
1297#121—21no—
1298#121—21no—
1299#121—21no—
1300#121D4×C4311yescharacteristic
1301#121D4×C4311yescharacteristic
1302#121D4×C4311yescharacteristic
1303#121D4×C4311yescharacteristic
1304#121C23×C4311yescharacteristic
1305#121C23×C4311yescharacteristic
1306#121C23×C4311yescharacteristic
1307#121C23×C4311yescharacteristic
1308#121C23×C4311yescharacteristic
1309#121C23×C4311yescharacteristic
1310#121C23×C4311yescharacteristic
1311#121C23×C4311yescharacteristic
1312#121C23×C4311yescharacteristic
1313#121C23×C4311yescharacteristic
1314#120—21no—
1315#120—21no—
1316#120—21no—
1317#120—21no—
1318C4×Q8—21no—
1319C4×Q8—21no—
1320C4×Q8C23×C4311yescharacteristic
1321C4×Q8C23×C4311yescharacteristic
1322C4×Q8C23×C4311yescharacteristic
1323C4×Q8C23×C4311yescharacteristic
1324C4×Q8C23×C4311yescharacteristic
1325C4×Q8C23×C4311yescharacteristic
1326C4×D4—21no—
1327C4×D4—21no—
1328C4×D4—21no—
1329C4×D4—21no—
1330C4×D4—21no—
1331C4×D4—21no—
1332C4×D4—21no—
1333C4×D4—21no—
1334C4×D4—21no—
1335C4×D4—21no—
1336C4×D4—21no—
1337C4×D4—21no—
1338C4×D4—21no—
1339C4×D4—21no—
1340C4×D4—21no—
1341C4×D4—21no—
1342C4×D4C23×C4311yescharacteristic
1343C4×D4C23×C4311yescharacteristic
1344C4×D4C23×C4311yescharacteristic
1345C4×D4C23×C4311yescharacteristic
1346C4×D4C23×C4311yescharacteristic
1347C4×D4C23×C4311yescharacteristic
1348#117—21no—
1349#117—21no—
1350#117—21no—
1351#117—21no—
1352#117C23×C4311yescharacteristic
1353#117C23×C4311yescharacteristic
1354C2×C4⋊C4—21no—
1355C2×C4⋊C4C23×C4311yescharacteristic
1356C2×C4⋊C4C23×C4311yescharacteristic
1357C2×C4⋊C4C23×C4311yescharacteristic
1358C2×C22⋊C4—21no—
1359C2×C22⋊C4—21no—
1360C2×C42—21no—
1361C2×C42C23×C4311yescharacteristic
1362#107C23×C4311yescharacteristic
1363#107C23×C4311yescharacteristic
1364#107C23×C4311yescharacteristic
1365#107C23×C4311yescharacteristic
1366#106C23×C4311yescharacteristic
1367#106C23×C4311yescharacteristic
1368#106C23×C4311yescharacteristic
1369#106C23×C4311yescharacteristic
1370C4⋊C8C23×C4311yescharacteristic
1371C4⋊C8C23×C4311yescharacteristic
1372C4⋊C8C23×C4311yescharacteristic
1373C4⋊C8C23×C4311yescharacteristic
1374#103C23×C4311yescharacteristic
1375#103C23×C4311yescharacteristic
1376#103C23×C4311yescharacteristic
1377#103C23×C4311yescharacteristic
1378#103C23×C4311yescharacteristic
1379#103C23×C4311yescharacteristic
1380#103C23×C4311yescharacteristic
1381#103C23×C4311yescharacteristic
1382#103C23×C4311yescharacteristic
1383#103C23×C4311yescharacteristic
1384#103C23×C4311yescharacteristic
1385#103C23×C4311yescharacteristic
1386#103C23×C4311yescharacteristic
1387#103C23×C4311yescharacteristic
1388#103C23×C4311yescharacteristic
1389#103C23×C4311yescharacteristic
1390#103C23×C4311yescharacteristic
1391#103C23×C4311yescharacteristic
1392#103C23×C4311yescharacteristic
1393#103C23×C4311yescharacteristic
1394#102C23×C4311yescharacteristic
1395#102C23×C4311yescharacteristic
1396#102C23×C4311yescharacteristic
1397#102C23×C4311yescharacteristic
1398#102C23×C4311yescharacteristic
1399#102C23×C4311yescharacteristic
1400#102C23×C4311yescharacteristic
1401#102C23×C4311yescharacteristic
1402#102C23×C4311yescharacteristic
1403#102C23×C4311yescharacteristic
1404#102C23×C4311yescharacteristic
1405#102C23×C4311yescharacteristic
1406C22⋊C8C23×C4311yescharacteristic
1407C22⋊C8C23×C4311yescharacteristic
1408C22⋊C8C23×C4311yescharacteristic
1409C22⋊C8C23×C4311yescharacteristic
1410C22⋊C8C23×C4311yescharacteristic
1411C22⋊C8C23×C4311yescharacteristic
1412C22⋊C8C23×C4311yescharacteristic
1413C22⋊C8C23×C4311yescharacteristic
1414C22⋊C8C23×C4311yescharacteristic
1415C22⋊C8C23×C4311yescharacteristic
1416C22⋊C8C23×C4311yescharacteristic
1417C22⋊C8C23×C4311yescharacteristic
1418#97C23×C4311yescharacteristic
1419#97C23×C4311yescharacteristic
1420C4×C8C23×C4311yescharacteristic
1421C4×C8C23×C4311yescharacteristic
1422C24—21no—
1423#41—22no—
1424#41—22no—
1425#41—22no—
1426#41—22no—
1427#41—41no—
1428#41—41no—
1429#41—41no—
1430#41—41no—
1431#41—41no—
1432#41—41no—
1433#41—41no—
1434#41—41no—
1435#41—41no—
1436#41—41no—
1437#41—41no—
1438#41—41no—
1439#41—44no—
1440#41—44no—
1441#41—44no—
1442#41—44no—
1443#41—41no—
1444#41—41no—
1445#41—41no—
1446#41—41no—
1447#41—44no—
1448#41—44no—
1449C2×Q8—22no—
1450C2×Q8—22no—
1451C2×Q8—21no—
1452C2×Q8—21no—
1453C2×Q8—21no—
1454C2×Q8—21no—
1455C2×Q8—21no—
1456C2×Q8—21no—
1457C2×Q8—22no—
1458C2×Q8—22no—
1459C2×Q8—22no—
1460C2×Q8—22no—
1461C2×Q8—41no—
1462C2×Q8—41no—
1463C2×Q8—41no—
1464C2×Q8—41no—
1465C2×Q8—41no—
1466C2×Q8—41no—
1467C2×Q8—44no—
1468C2×Q8—44no—
1469C2×Q8C2×D4×C4311yescharacteristic
1470C2×Q8C2×D4×C4311yescharacteristic
1471C2×Q8C24×C4311yescharacteristic
1472C2×Q8C24×C4311yescharacteristic
1473C2×Q8C24×C4311yescharacteristic
1474C2×Q8C24×C4311yescharacteristic
1475C2×Q8C24×C4311yescharacteristic
1476C2×Q8C24×C4311yescharacteristic
1477C2×D4—21no—
1478C2×D4—21no—
1479C2×D4—21no—
1480C2×D4—21no—
1481C2×D4—21no—
1482C2×D4—21no—
1483C2×D4—21no—
1484C2×D4—21no—
1485C2×D4—21no—
1486C2×D4—21no—
1487C2×D4—21no—
1488C2×D4—21no—
1489C2×D4—21no—
1490C2×D4—21no—
1491C2×D4—21no—
1492C2×D4—21no—
1493C2×D4—21no—
1494C2×D4—21no—
1495C2×D4—21no—
1496C2×D4—21no—
1497C2×D4—21no—
1498C2×D4—41no—
1499C2×D4—41no—
1500C2×D4C2×D4×C4311yescharacteristic
1501C2×D4C2×D4×C4311yescharacteristic
1502C2×D4C2×D4×C4311yescharacteristic
1503C2×D4C2×D4×C4311yescharacteristic
1504C2×D4C2×D4×C4311yescharacteristic
1505C2×D4C2×D4×C4311yescharacteristic
1506C2×D4C2×D4×C4311yescharacteristic
1507C2×D4C2×D4×C4311yescharacteristic
1508C2×D4C2×D4×C4311yescharacteristic
1509C2×D4C2×D4×C4311yescharacteristic
1510C2×D4C24×C4311yescharacteristic
1511C2×D4C24×C4311yescharacteristic
1512C2×D4C24×C4311yescharacteristic
1513C2×D4C24×C4311yescharacteristic
1514C22×C4—21no—
1515C22×C4—21no—
1516C22×C4—21no—
1517C22×C4—21no—
1518C22×C4—21no—
1519C22×C4—21no—
1520C22×C4—21no—
1521C22×C4—21no—
1522C22×C4—21no—
1523C22×C4—21no—
1524C22×C4—21no—
1525C22×C4—21no—
1526C22×C4—21no—
1527C22×C4—21no—
1528C22×C4—21no—
1529C22×C4—21no—
1530C22×C4—21no—
1531C22×C4—21no—
1532C22×C4—21no—
1533C22×C4C2×D4×C4311yescharacteristic
1534C22×C4C2×D4×C4311yescharacteristic
1535C22×C4C24×C4311yescharacteristic
1536C22×C4C24×C4311yescharacteristic
1537C22×C4C24×C4311yescharacteristic
1538C22×C4C24×C4311yescharacteristic
1539C22×C4C24×C4311yescharacteristic
1540Q16—22no—
1541Q16—22no—
1542Q16—22no—
1543Q16—22no—
1544Q16—41no—
1545Q16—41no—
1546Q16—41no—
1547Q16—41no—
1548SD16—22no—
1549SD16—22no—
1550SD16—22no—
1551SD16—22no—
1552SD16—41no—
1553SD16—41no—
1554SD16—41no—
1555SD16—41no—
1556SD16—41no—
1557SD16—41no—
1558SD16—41no—
1559SD16—41no—
1560D8—41no—
1561D8—41no—
1562D8—41no—
1563D8—41no—
1564M16—41no—
1565M16—41no—
1566M16—41no—
1567M16—41no—
1568C2×C8—41no—
1569C2×C8—41no—
1570C2×C8—41no—
1571C2×C8—41no—
1572C2×C8C24×C4311yescharacteristic
1573C2×C8C24×C4311yescharacteristic
1574C2×C8C24×C4311yescharacteristic
1575C2×C8C24×C4311yescharacteristic
1576C2×C8C24×C4311yescharacteristic
1577C2×C8C24×C4311yescharacteristic
1578C2×C8C24×C4311yescharacteristic
1579C2×C8C24×C4311yescharacteristic
1580C4⋊C4—21no—
1581C4⋊C4—21no—
1582C4⋊C4—21no—
1583C4⋊C4—21no—
1584C4⋊C4—21no—
1585C4⋊C4—21no—
1586C4⋊C4—21no—
1587C4⋊C4—21no—
1588C4⋊C4—21no—
1589C4⋊C4—21no—
1590C4⋊C4—21no—
1591C4⋊C4—21no—
1592C4⋊C4—21no—
1593C4⋊C4—21no—
1594C4⋊C4—21no—
1595C4⋊C4—21no—
1596C4⋊C4—21no—
1597C4⋊C4—21no—
1598C4⋊C4—21no—
1599C4⋊C4—21no—
1600C4⋊C4—21no—
1601C4⋊C4—21no—
1602C4⋊C4—21no—
1603C4⋊C4—21no—
1604C4⋊C4—21no—
1605C4⋊C4C2×D4×C4311yescharacteristic
1606C4⋊C4C2×D4×C4311yescharacteristic
1607C4⋊C4C2×D4×C4311yescharacteristic
1608C4⋊C4C2×D4×C4311yescharacteristic
1609C4⋊C4C24×C4311yescharacteristic
1610C4⋊C4C24×C4311yescharacteristic
1611C4⋊C4C24×C4311yescharacteristic
1612C4⋊C4C24×C4311yescharacteristic
1613C4⋊C4C24×C4311yescharacteristic
1614C4⋊C4C24×C4311yescharacteristic
1615C22⋊C4—21no—
1616C22⋊C4—21no—
1617C22⋊C4—21no—
1618C22⋊C4—21no—
1619C22⋊C4—21no—
1620C22⋊C4—21no—
1621C22⋊C4—21no—
1622C22⋊C4—21no—
1623C22⋊C4—21no—
1624C22⋊C4—21no—
1625C22⋊C4—21no—
1626C22⋊C4—21no—
1627C22⋊C4—21no—
1628C22⋊C4—21no—
1629C22⋊C4—21no—
1630C22⋊C4—21no—
1631C22⋊C4—21no—
1632C22⋊C4—21no—
1633C22⋊C4—21no—
1634C22⋊C4—21no—
1635C22⋊C4—21no—
1636C22⋊C4—21no—
1637C22⋊C4—21no—
1638C22⋊C4—21no—
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4—21no—
1642C22⋊C4—21no—
1643C22⋊C4—21no—
1644C22⋊C4—21no—
1645C22⋊C4—21no—
1646C22⋊C4—21no—
1647C22⋊C4C2×D4×C4311yescharacteristic
1648C22⋊C4C2×D4×C4311yescharacteristic
1649C22⋊C4C2×D4×C4311yescharacteristic
1650C22⋊C4C2×D4×C4311yescharacteristic
1651C22⋊C4C2×D4×C4311yescharacteristic
1652C22⋊C4C2×D4×C4311yescharacteristic
1653C22⋊C4C2×D4×C4311yescharacteristic
1654C22⋊C4C2×D4×C4311yescharacteristic
1655C42—21no—
1656C42—21no—
1657C42—21no—
1658C42—21no—
1659C42—21no—
1660C42—21no—
1661C42—21no—
1662C42—21no—
1663C42C2×D4×C4311yescharacteristic
1664C42C2×D4×C4311yescharacteristic
1665C42C24×C4311yescharacteristic
1666C42C24×C4311yescharacteristic
1667C23—21no—
1668C23—21no—
1669C23—21no—
1670C23—21no—
1671C23—81no—
1672C23—81no—
1673C23—81no—
1674C23C22×D4×C4311yescharacteristic
1675C23C22×D4×C4311yescharacteristic
1676C23C22×D4×C4311yescharacteristic
1677C23C22×D4×C4311yescharacteristic
1678C23C22×D4×C4311yescharacteristic
1679Q8—24no—
1680Q8—21no—
1681Q8—21no—
1682Q8—21no—
1683Q8—21no—
1684Q8—21no—
1685Q8—21no—
1686Q8—21no—
1687Q8—21no—
1688Q8—21no—
1689Q8—21no—
1690Q8—41no—
1691Q8—41no—
1692Q8—42no—
1693Q8—42no—
1694Q8—42no—
1695Q8—42no—
1696Q8—81no—
1697Q8H(5,𝔽2)×C4312yes—
1698Q8H(5,𝔽2)×C4312yes—
1699D4—21no—
1700D4—21no—
1701D4—21no—
1702D4—21no—
1703D4—21no—
1704D4—21no—
1705D4—21no—
1706D4—21no—
1707D4—41no—
1708D4—41no—
1709D4—41no—
1710D4—41no—
1711D4—41no—
1712D4—41no—
1713D4—41no—
1714D4—41no—
1715D4—41no—
1716D4—41no—
1717D4—42no—
1718D4—42no—
1719D4—42no—
1720D4—42no—
1721D4—42no—
1722D4—42no—
1723D4—42no—
1724D4—81no—
1725D4—81no—
1726D4—81no—
1727D4—81no—
1728D4—81no—
1729D4—81no—
1730D4—81no—
1731D4—81no—
1732D4—81no—
1733D4—81no—
1734D4—81no—
1735D4—81no—
1736D4—81no—
1737D4—81no—
1738C2×C4—24no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—41no—
1762C2×C4—41no—
1763C2×C4—42no—
1764C2×C4—42no—
1765C2×C4—42no—
1766C2×C4—42no—
1767C2×C4—42no—
1768C2×C4—42no—
1769C2×C4—42no—
1770C2×C4—42no—
1771C2×C4—42no—
1772C2×C4—42no—
1773C2×C4—81no—
1774C2×C4—81no—
1775C2×C4—81no—
1776C2×C4—81no—
1777C2×C4—81no—
1778C2×C4—81no—
1779C2×C4—81no—
1780C2×C4—81no—
1781C2×C4C22×D4×C4311yescharacteristic
1782C2×C4C22×D4×C4311yescharacteristic
1783C2×C4C22×D4×C4311yescharacteristic
1784C2×C4C22×D4×C4311yescharacteristic
1785C2×C4C22×D4×C4311yescharacteristic
1786C2×C4C22×D4×C4311yescharacteristic
1787C2×C4C22×D4×C4311yescharacteristic
1788C2×C4C22×D4×C4311yescharacteristic
1789C2×C4C22×D4×C4311yescharacteristic
1790C2×C4C25×C4311yescharacteristic
1791C8—21no—
1792C8—21no—
1793C8—21no—
1794C8—21no—
1795C8—21no—
1796C8—21no—
1797C8—21no—
1798C8—21no—
1799C22—21no—
1800C22—21no—
1801C22—21no—
1802C22—21no—
1803C22—21no—
1804C22—21no—
1805C22—21no—
1806C22—21no—
1807C22—21no—
1808C22—21no—
1809C22—21no—
1810C22—21no—
1811C22—21no—
1812C22—21no—
1813C22—21no—
1814C22—41no—
1815C22—41no—
1816C22—41no—
1817C22—41no—
1818C22—41no—
1819C22—41no—
1820C22—41no—
1821C22—41no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—162no—
1827C22C23×D4×C4311yescharacteristic
1828C4—22no—
1829C4—22no—
1830C4—21no—
1831C4—21no—
1832C4—21no—
1833C4—21no—
1834C4—21no—
1835C4—21no—
1836C4—21no—
1837C4—21no—
1838C4—21no—
1839C4—41no—
1840C4—41no—
1841C4—41no—
1842C4—41no—
1843C4—41no—
1844C4—41no—
1845C4—41no—
1846C4—41no—
1847C4—41no—
1848C4—41no—
1849C4C2×H(5,𝔽2)×C4311yescharacteristic
1850C4C2×H(5,𝔽2)×C4311yescharacteristic
1851C2—41no—
1852C2—41no—
1853C2—41no—
1854C2—41no—
1855C2—41no—
1856C2—81no—
1857C2—81no—
1858C2—81no—
1859C2—81no—
1860C2C43×#348411yescharacteristic
1861C2C43×#358411yescharacteristic
1862C2C43×#358611yescharacteristic
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×#3497C2semidirect
3. C43×#3327C2semidirect
4. C43×#3326C2semidirect
5. C43×#3320C2semidirect
6. C43×#3317C2semidirect
7. C43×#3312C2semidirect
8. C43×#3309C2semidirect
9. C43×#3301C2semidirect
10. C43×#3300C2semidirect
11. C43×#3285C2semidirect
12. C43×#3282C2semidirect
13. C43×#3277C2semidirect
14. C43×#3275C2semidirect
15. C43×#3271C2semidirect
16. C43×#3270C2semidirect
17. C43×#3268C2semidirect
18. C43×#3266C2semidirect
19. C43×#3219C2semidirect
20. C43×#3212C2semidirect
21. C43×#3204C2semidirect
22. C43×#3203C2semidirect
23. C43×#3201C2semidirect
24. C43×#3198C2semidirect
25. C43×#3117C2semidirect
26. C43×#3108C2semidirect
27. C43×#3013C2semidirect
28. C43×#3013C2semidirect
29. C43×#3011C2semidirect
30. C43×#3010C2semidirect
31. C43×#2981C2semidirect
33. C2×2−1+4×C43C22semidirect
36. C2×#137×C43C22semidirect
40. C22×Q16×C43C22semidirect
52. C43×#550C22semidirect
55. D4×Q8×C43C22semidirect
62. C43×#548C22semidirect
63. C43×#548C22semidirect
75. C43×#537C22semidirect
81. C43×#532C22semidirect
84. C2×C4×Q8×C43C22semidirect
89. C43×#491C22semidirect
90. C43×#490C22semidirect
91. C43×#488C22semidirect
92. C43×#488C22semidirect
94. C43×#485C22semidirect
95. C43×#484C22semidirect
96. C43×#484C22semidirect
97. C43×#483C22semidirect
98. C43×#483C22semidirect
100. C43×#482C22semidirect
102. C43×#481C22semidirect
104. C43×#480C22semidirect
105. C43×#479C22semidirect
106. C43×#479C22semidirect
107. C43×#479C22semidirect
108. C43×#479C22semidirect
110. C43×#470C22semidirect
116. C43×#468C22semidirect
118. C43×#467C22semidirect
124. C43×#465C22semidirect
129. C43×#464C22semidirect
130. C43×#464C22semidirect
133. C43×#462C22semidirect
135. C43×#460C22semidirect
141. C43×#452C22semidirect
142. C43×#452C22semidirect
143. C43×#452C22semidirect
144. C43×#452C22semidirect
145. C43×#452C22semidirect
146. C43×#452C22semidirect
149. C43×#451C22semidirect
150. C43×#451C22semidirect
151. C43×#451C22semidirect
152. C43×#451C22semidirect
153. C43×#451C22semidirect
171. C43×#448C22semidirect
173. C43×#441C22semidirect
174. C43×#441C22semidirect
177. C4×Q16×C43C22semidirect
178. C4×Q16×C43C22semidirect
182. C43×#436C22semidirect
185. C43×#435C22semidirect
186. C43×#435C22semidirect
188. C8×D4×C43C22semidirect
189. C43×#432C22semidirect
190. C43×#431C22semidirect
192. C43×#419C22semidirect
193. C43×#417C22semidirect
194. C43×#417C22semidirect
196. C43×#416C22semidirect
197. C2×#103×C43C22semidirect
198. C2×#103×C43C22semidirect
201. C43×#408C22semidirect
202. C43×#408C22semidirect
867. #61681C43direct (N × H)
920. #3551C2×C43semidirect
921. #3497C2×C43semidirect
922. #3327C2×C43semidirect
923. #3326C2×C43semidirect
924. #3320C2×C43semidirect
925. #3317C2×C43semidirect
926. #3312C2×C43semidirect
927. #3309C2×C43semidirect
928. #3301C2×C43semidirect
929. #3300C2×C43semidirect
930. #3285C2×C43semidirect
931. #3282C2×C43semidirect
932. #3277C2×C43semidirect
933. #3275C2×C43semidirect
934. #3271C2×C43semidirect
935. #3270C2×C43semidirect
936. #3268C2×C43semidirect
937. #3266C2×C43semidirect
938. #3219C2×C43semidirect
939. #3212C2×C43semidirect
940. #3204C2×C43semidirect
941. #3203C2×C43semidirect
942. #3201C2×C43semidirect
943. #3198C2×C43semidirect
944. #3117C2×C43semidirect
945. #3108C2×C43semidirect
946. #3013C2×C43semidirect
947. #3013C2×C43semidirect
948. #3011C2×C43semidirect
949. #3010C2×C43semidirect
950. #2981C2×C43semidirect
964. C2×2−1+4C22×C43semidirect
967. C2×#137C22×C43semidirect
971. C22×Q16C22×C43semidirect
983. #550C22×C43semidirect
986. D4×Q8C22×C43semidirect
993. #548C22×C43semidirect
994. #548C22×C43semidirect
1006. #537C22×C43semidirect
1012. #532C22×C43semidirect
1015. C2×C4×Q8C22×C43semidirect
1020. #491C22×C43semidirect
1021. #490C22×C43semidirect
1022. #488C22×C43semidirect
1023. #488C22×C43semidirect
1025. #485C22×C43semidirect
1026. #484C22×C43semidirect
1027. #484C22×C43semidirect
1028. #483C22×C43semidirect
1029. #483C22×C43semidirect
1031. #482C22×C43semidirect
1033. #481C22×C43semidirect
1035. #480C22×C43semidirect
1036. #479C22×C43semidirect
1037. #479C22×C43semidirect
1038. #479C22×C43semidirect
1039. #479C22×C43semidirect
1041. #470C22×C43semidirect
1047. #468C22×C43semidirect
1049. #467C22×C43semidirect
1055. #465C22×C43semidirect
1060. #464C22×C43semidirect
1061. #464C22×C43semidirect
1064. #462C22×C43semidirect
1066. #460C22×C43semidirect
1072. #452C22×C43semidirect
1073. #452C22×C43semidirect
1074. #452C22×C43semidirect
1075. #452C22×C43semidirect
1076. #452C22×C43semidirect
1077. #452C22×C43semidirect
1080. #451C22×C43semidirect
1081. #451C22×C43semidirect
1082. #451C22×C43semidirect
1083. #451C22×C43semidirect
1084. #451C22×C43semidirect
1102. #448C22×C43semidirect
1104. #441C22×C43semidirect
1105. #441C22×C43semidirect
1108. C4×Q16C22×C43semidirect
1109. C4×Q16C22×C43semidirect
1113. #436C22×C43semidirect
1116. #435C22×C43semidirect
1117. #435C22×C43semidirect
1119. C8×D4C22×C43semidirect
1120. #432C22×C43semidirect
1121. #431C22×C43semidirect
1123. #419C22×C43semidirect
1124. #417C22×C43semidirect
1125. #417C22×C43semidirect
1127. #416C22×C43semidirect
1128. C2×#103C22×C43semidirect
1129. C2×#103C22×C43semidirect
1132. #408C22×C43semidirect
1133. #408C22×C43semidirect
1134. C43#61681direct (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×#34972
C43×#33272
C43×#33262
C43×#33202
C43×#33172
C43×#33122
C43×#33092
C43×#33012
C43×#33002
C43×#32852
C43×#32822
C43×#32772
C43×#32752
C43×#32712
C43×#32702
C43×#32682
C43×#32662
C43×#32192
C43×#32122
C43×#32042
C43×#32032
C43×#32012
C43×#31982
C43×#31172
C43×#31082
C43×#30132
C43×#30112
C43×#30102
C43×#29812
#6168143