Finite Group Databasebeta

← C43×#61691 #24981708

Subgroups — C43×#61691 #24981708

Order 11008.

2046 conjugacy classes of subgroups.

The subgroup lattice has 1868 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C43×#3547C211yesmaximal, characteristic, complemented
2C43×#3500C211yesmaximal, characteristic, complemented
3C43×#3327C211yesmaximal, characteristic, complemented
4C43×#3323C211yesmaximal, characteristic, complemented
5C43×#3321C211yesmaximal, characteristic, complemented
6C43×#3319C211yesmaximal, characteristic, complemented
7C43×#3316C211yesmaximal, characteristic, complemented
8C43×#3314C211yesmaximal, characteristic, complemented
9C43×#3300C211yesmaximal, characteristic, complemented
10C43×#3296C211yesmaximal, characteristic, complemented
11C43×#3285C211yesmaximal, characteristic, complemented
12C43×#3282C211yesmaximal, characteristic, complemented
13C43×#3277C211yesmaximal, characteristic, complemented
14C43×#3275C211yesmaximal, characteristic, complemented
15C43×#3270C211yesmaximal, characteristic, complemented
16C43×#3269C211yesmaximal, characteristic, complemented
17C43×#3267C211yesmaximal, characteristic, complemented
18C43×#3266C211yesmaximal, characteristic, complemented
19C43×#3215C211yesmaximal, characteristic, complemented
20C43×#3211C211yesmaximal, characteristic, complemented
21C43×#3202C211yesmaximal, characteristic, complemented
22C43×#3201C211yesmaximal, characteristic, complemented
23C43×#3200C211yesmaximal, characteristic, complemented
24C43×#3198C211yesmaximal, characteristic, complemented
25C43×#3111C211yesmaximal, characteristic, complemented
26C43×#3107C211yesmaximal, characteristic, complemented
27C43×#3013C211yesmaximal, characteristic, complemented
28C43×#3012C211yesmaximal, characteristic, complemented
29C43×#3011C211yesmaximal, characteristic, complemented
30C43×#3009C211yesmaximal, characteristic, complemented
31C43×#2981C211yesmaximal, characteristic, complemented
32C2×2−1+4×C43C2211yescharacteristic
33C2×H(5,𝔽2)×C43C2211yescharacteristic
34C2×#137×C43C2211yescharacteristic
35C2×#137×C43C2211yescharacteristic, complemented
36C2×#137×C43C2211yescharacteristic, complemented
37C2×AGL(1,ℤ/8)×C43C2211yescharacteristic
38C2×#135×C43C2211yescharacteristic
39C2×#135×C43C2211yescharacteristic, complemented
40C22×Q16×C43C2211yescharacteristic, complemented
41C22×SD16×C43C2211yescharacteristic
42C43×#562—21no—
43C43×#562—21no—
44C43×#555—21no—
45C43×#555C2211yescharacteristic, complemented
46C43×#554C2211yescharacteristic, complemented
47C43×#553—21no—
48C43×#552C2211yescharacteristic, complemented
49C43×#552C2211yescharacteristic, complemented
50D4×Q8×C43C2211yescharacteristic, complemented
51C43×#548C2211yescharacteristic
52C43×#548C2211yescharacteristic
53C43×#548C2211yescharacteristic
54C43×#548C2211yescharacteristic
55C43×#548C2211yescharacteristic, complemented
56C43×#548C2211yescharacteristic, complemented
57C43×#547C2211yescharacteristic, complemented
58C43×#546—21no—
59C43×#546—21no—
60C43×#546—21no—
61C43×#546—21no—
62C43×#546C2211yescharacteristic
63C43×#546C2211yescharacteristic
64C43×#546C2211yescharacteristic
65C43×#546C2211yescharacteristic
66C43×#544—21no—
67C43×#542—21no—
68C43×#542—21no—
69C43×#540—21no—
70C43×#537C2211yescharacteristic
71C43×#537C2211yescharacteristic, complemented
72C43×#536—21no—
73C43×#536C2211yescharacteristic
74C43×#536C2211yescharacteristic
75C43×#536C2211yescharacteristic, complemented
76C43×#535—21no—
77C43×#535C2211yescharacteristic
78C43×#533C2211yescharacteristic, complemented
79C43×#532—21no—
80C43×#532C2211yescharacteristic
81C43×#529C2211yescharacteristic, complemented
82C2×#124×C43—21no—
83C2×#124×C43C2211yescharacteristic
84C4×#41×C43C2211yescharacteristic
85C43×#497C2211yescharacteristic, complemented
86C43×#497C2211yescharacteristic, complemented
87C43×#495C2211yescharacteristic, complemented
88C43×#495C2211yescharacteristic, complemented
89C43×#489C2211yescharacteristic, complemented
90C43×#489C2211yescharacteristic, complemented
91C43×#488C2211yescharacteristic, complemented
92C43×#488C2211yescharacteristic, complemented
93C43×#485C2211yescharacteristic, complemented
94C43×#485C2211yescharacteristic, complemented
95C43×#485C2211yescharacteristic, complemented
96C43×#485C2211yescharacteristic, complemented
97C43×#485C2211yescharacteristic, complemented
98C43×#484C2211yescharacteristic, complemented
99C43×#483C2211yescharacteristic, complemented
100C43×#482C2211yescharacteristic, complemented
101C43×#482C2211yescharacteristic, complemented
102C43×#482C2211yescharacteristic, complemented
103C43×#481C2211yescharacteristic, complemented
104C43×#480C2211yescharacteristic, complemented
105C43×#479C2211yescharacteristic, complemented
106C43×#478C2211yescharacteristic, complemented
107C43×#475C2211yescharacteristic, complemented
108C43×#474C2211yescharacteristic, complemented
109C43×#470C2211yescharacteristic, complemented
110C43×#470C2211yescharacteristic, complemented
111C43×#470C2211yescharacteristic, complemented
112C43×#469C2211yescharacteristic, complemented
113C43×#468C2211yescharacteristic, complemented
114C43×#468C2211yescharacteristic, complemented
115C43×#468C2211yescharacteristic, complemented
116C43×#468C2211yescharacteristic, complemented
117C43×#467C2211yescharacteristic, complemented
118C43×#467C2211yescharacteristic, complemented
119C43×#467C2211yescharacteristic, complemented
120C43×#466C2211yescharacteristic, complemented
121C43×#465C2211yescharacteristic, complemented
122C43×#465C2211yescharacteristic, complemented
123C43×#465C2211yescharacteristic, complemented
124C43×#465C2211yescharacteristic, complemented
125C43×#464C2211yescharacteristic, complemented
126C43×#464C2211yescharacteristic, complemented
127C43×#464C2211yescharacteristic, complemented
128C43×#464C2211yescharacteristic, complemented
129C43×#464C2211yescharacteristic, complemented
130C43×#464C2211yescharacteristic, complemented
131C43×#464C2211yescharacteristic, complemented
132C43×#463C2211yescharacteristic, complemented
133C43×#463C2211yescharacteristic, complemented
134C43×#463C2211yescharacteristic, complemented
135C43×#462C2211yescharacteristic, complemented
136C43×#461C2211yescharacteristic, complemented
137C43×#452C2211yescharacteristic
138C43×#452C2211yescharacteristic
139C43×#452C2211yescharacteristic
140C43×#452C2211yescharacteristic
141C43×#452C2211yescharacteristic
142C43×#452C2211yescharacteristic
143C43×#452C2211yescharacteristic, complemented
144C43×#452C2211yescharacteristic, complemented
145C43×#452C2211yescharacteristic, complemented
146C43×#452C2211yescharacteristic, complemented
147C43×#452C2211yescharacteristic, complemented
148C43×#451C2211yescharacteristic, complemented
149C43×#451C2211yescharacteristic, complemented
150C43×#451C2211yescharacteristic, complemented
151C43×#451C2211yescharacteristic, complemented
152C43×#451C2211yescharacteristic, complemented
153C43×#451C2211yescharacteristic, complemented
154C43×#451C2211yescharacteristic, complemented
155C43×#451C2211yescharacteristic, complemented
156C43×#450C2211yescharacteristic
157C43×#450C2211yescharacteristic
158C43×#450C2211yescharacteristic
159C43×#450C2211yescharacteristic
160C43×#450C2211yescharacteristic
161C43×#450C2211yescharacteristic
162C43×#449C2211yescharacteristic
163C43×#449C2211yescharacteristic
164C43×#449C2211yescharacteristic, complemented
165C43×#449C2211yescharacteristic, complemented
166C43×#449C2211yescharacteristic, complemented
167C43×#448C2211yescharacteristic, complemented
168C43×#448C2211yescharacteristic, complemented
169C43×#448C2211yescharacteristic, complemented
170C43×#448C2211yescharacteristic, complemented
171C43×#447C2211yescharacteristic
172C43×#447C2211yescharacteristic
173C43×#442C2211yescharacteristic, complemented
174C43×#441C2211yescharacteristic, complemented
175C43×#440C2211yescharacteristic, complemented
176C43×#440C2211yescharacteristic, complemented
177C4×Q16×C43C2211yescharacteristic, complemented
178C4×Q16×C43C2211yescharacteristic, complemented
179C4×SD16×C43C2211yescharacteristic, complemented
180C4×SD16×C43C2211yescharacteristic, complemented
181C43×#436C2211yescharacteristic, complemented
182C43×#436C2211yescharacteristic, complemented
183C43×#435C2211yescharacteristic, complemented
184C43×#435C2211yescharacteristic, complemented
185C43×#435C2211yescharacteristic, complemented
186C43×#435C2211yescharacteristic, complemented
187C8×D4×C43C2211yescharacteristic, complemented
188C8×D4×C43C2211yescharacteristic, complemented
189C43×#432C2211yescharacteristic, complemented
190C43×#431C2211yescharacteristic, complemented
191C43×#419C2211yescharacteristic, complemented
192C43×#418C2211yescharacteristic
193C43×#417C2211yescharacteristic
194C43×#417C2211yescharacteristic, complemented
195C43×#416C2211yescharacteristic
196C43×#416C2211yescharacteristic, complemented
197C2×#103×C43C2211yescharacteristic, complemented
198C2×#102×C43C2211yescharacteristic
199C43×#408C2211yescharacteristic
200C43×#408C2211yescharacteristic
201C43×#408C2211yescharacteristic, complemented
202C43×#408C2211yescharacteristic, complemented
2032−1+4×C43—42no—
2042−1+4×C43—42no—
205H(5,𝔽2)×C43—42no—
206H(5,𝔽2)×C43—42no—
207C2×#41×C43—21no—
208C2×#41×C43—21no—
209C2×#41×C43—21no—
210C2×#41×C43—21no—
211C2×#41×C43C2311yescharacteristic
212C2×#41×C43C2311yescharacteristic
213C2×#41×C43C2311yescharacteristic
214C2×#41×C43C2311yescharacteristic
215C2×#41×C43C2311yescharacteristic
216C2×#41×C43C2311yescharacteristic
217C2×#41×C43C2311yescharacteristic
218C2×#41×C43C2311yescharacteristic
219C2×#41×C43C2311yescharacteristic
220C22×Q8×C43—21no—
221C22×Q8×C43C2311yescharacteristic
222C22×Q8×C43C2311yescharacteristic
223C22×Q8×C43C2311yescharacteristic
224C22×Q8×C43C2311yescharacteristic
225C22×Q8×C43C2311yescharacteristic
226C22×D4×C43—21no—
227C22×D4×C43—21no—
228C22×D4×C43—21no—
229C22×D4×C43C2311yescharacteristic
230C22×D4×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×Q16×C43C2311yescharacteristic
248C2×SD16×C43—42no—
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×SD16×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×C43—21no—
276C4⋊Q8×C43D411yescharacteristic
277C4⋊Q8×C43C2311yescharacteristic
278C4⋊Q8×C43C2311yescharacteristic
279#127×C43—21no—
280#127×C43D411yescharacteristic
281#126×C43—21no—
282#126×C43—21no—
283#126×C43—21no—
284#125×C43—21no—
285#125×C43—21no—
286#125×C43—21no—
287#125×C43—21no—
288#125×C43C2311yescharacteristic
289#124×C43—21no—
290#124×C43—21no—
291#124×C43—21no—
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×C43—21no—
301#124×C43—21no—
302#124×C43—21no—
303#124×C43D411yescharacteristic
304#124×C43D411yescharacteristic
305#124×C43C2311yescharacteristic
306#124×C43C2311yescharacteristic
307#124×C43C2311yescharacteristic
308#124×C43C2311yescharacteristic
309#124×C43C2311yescharacteristic
310#123×C43—21no—
311#123×C43—21no—
312#123×C43—21no—
313#123×C43—21no—
314#123×C43—21no—
315#123×C43—21no—
316#123×C43—21no—
317#123×C43—21no—
318#123×C43—21no—
319#123×C43—21no—
320#123×C43—21no—
321#123×C43—21no—
322#123×C43—21no—
323#123×C43—21no—
324#123×C43—21no—
325C22⋊Q8×C43—21no—
326C22⋊Q8×C43—21no—
327C22⋊Q8×C43—21no—
328C22⋊Q8×C43—21no—
329C22⋊Q8×C43—21no—
330C22⋊Q8×C43—21no—
331C22⋊Q8×C43—21no—
332C22⋊Q8×C43—21no—
333C22⋊Q8×C43—21no—
334C22⋊Q8×C43—21no—
335C22⋊Q8×C43—21no—
336C22⋊Q8×C43—21no—
337C22⋊Q8×C43—21no—
338C22⋊Q8×C43C2311yescharacteristic
339C22⋊Q8×C43C2311yescharacteristic
340C22⋊Q8×C43C2311yescharacteristic
341C22⋊Q8×C43C2311yescharacteristic
342C22⋊Q8×C43C2311yescharacteristic
343C22⋊Q8×C43C2311yescharacteristic
344C22⋊Q8×C43C2311yescharacteristic
345C22⋊Q8×C43C2311yescharacteristic
346C22⋊Q8×C43C2311yescharacteristic
347C22⋊Q8×C43C2311yescharacteristic
348C22⋊Q8×C43C2311yescharacteristic
349C22⋊Q8×C43C2311yescharacteristic
350C22⋊Q8×C43C2311yescharacteristic
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×C43—21no—
369#121×C43D411yescharacteristic
370#121×C43D411yescharacteristic
371#121×C43D411yescharacteristic
372#121×C43D411yescharacteristic
373#121×C43C2311yescharacteristic
374#121×C43C2311yescharacteristic
375#121×C43C2311yescharacteristic
376#121×C43C2311yescharacteristic
377#121×C43C2311yescharacteristic
378#121×C43C2311yescharacteristic
379#121×C43C2311yescharacteristic
380#120×C43—21no—
381#120×C43—21no—
382#120×C43—21no—
383#120×C43—21no—
384#120×C43—21no—
385#120×C43—21no—
386C4×Q8×C43—21no—
387C4×Q8×C43C2311yescharacteristic
388C4×Q8×C43C2311yescharacteristic
389C4×Q8×C43C2311yescharacteristic
390C4×Q8×C43C2311yescharacteristic
391C4×Q8×C43C2311yescharacteristic
392C4×D4×C43—21no—
393C4×D4×C43—21no—
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×C43C2311yescharacteristic
404C4×D4×C43C2311yescharacteristic
405C4×D4×C43C2311yescharacteristic
406C4×D4×C43C2311yescharacteristic
407C4×D4×C43C2311yescharacteristic
408C4×D4×C43C2311yescharacteristic
409C4×D4×C43C2311yescharacteristic
410#117×C43—21no—
411#117×C43—21no—
412#117×C43—21no—
413#117×C43—21no—
414#117×C43—21no—
415#117×C43—21no—
416#117×C43C2311yescharacteristic
417#117×C43C2311yescharacteristic
418#117×C43C2311yescharacteristic
419C2×C4⋊C4×C43—21no—
420C2×C4⋊C4×C43C2311yescharacteristic
421C2×C4⋊C4×C43C2311yescharacteristic
422C2×C22⋊C4×C43—21no—
423C2×C22⋊C4×C43—21no—
424C2×C22⋊C4×C43—21no—
425C2×C22⋊C4×C43—21no—
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#102×C43C2311yescharacteristic
461#102×C43C2311yescharacteristic
462#102×C43C2311yescharacteristic
463#102×C43C2311yescharacteristic
464#102×C43C2311yescharacteristic
465#102×C43C2311yescharacteristic
466#102×C43C2311yescharacteristic
467#102×C43C2311yescharacteristic
468#102×C43C2311yescharacteristic
469#102×C43C2311yescharacteristic
470#102×C43C2311yescharacteristic
471#102×C43C2311yescharacteristic
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—
491C24×C43—21no—
492C24×C43—21no—
493#41×C43—22no—
494#41×C43—22no—
495#41×C43—22no—
496#41×C43—22no—
497#41×C43—22no—
498#41×C43—22no—
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—41no—
510#41×C43—41no—
511#41×C43—41no—
512#41×C43—41no—
513#41×C43—44no—
514#41×C43—44no—
515C2×Q8×C43—21no—
516C2×Q8×C43—21no—
517C2×Q8×C43—21no—
518C2×Q8×C43—21no—
519C2×Q8×C43—21no—
520C2×Q8×C43—21no—
521C2×Q8×C43—22no—
522C2×Q8×C43—22no—
523C2×Q8×C43—41no—
524C2×Q8×C43—41no—
525C2×Q8×C43—41no—
526C2×Q8×C43—41no—
527C2×Q8×C43—44no—
528C2×Q8×C43—41no—
529C2×Q8×C43—41no—
530C2×Q8×C43—41no—
531C2×Q8×C43—41no—
532C2×Q8×C43C2×D411yescharacteristic
533C2×Q8×C43C2×D411yescharacteristic
534C2×Q8×C43C2411yescharacteristic
535C2×Q8×C43C2411yescharacteristic
536C2×Q8×C43C2411yescharacteristic
537C2×Q8×C43C2411yescharacteristic
538C2×Q8×C43C2411yescharacteristic
539C2×Q8×C43C2411yescharacteristic
540C2×D4×C43—21no—
541C2×D4×C43—21no—
542C2×D4×C43—21no—
543C2×D4×C43—21no—
544C2×D4×C43—21no—
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—22no—
558C2×D4×C43—22no—
559C2×D4×C43—41no—
560C2×D4×C43—41no—
561C2×D4×C43—41no—
562C2×D4×C43—41no—
563C2×D4×C43—44no—
564C2×D4×C43—44no—
565C2×D4×C43—44no—
566C2×D4×C43C2×D411yescharacteristic
567C2×D4×C43C2×D411yescharacteristic
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×C43C2411yescharacteristic
577C2×D4×C43C2411yescharacteristic
578C2×D4×C43C2411yescharacteristic
579C2×D4×C43C2411yescharacteristic
580C22×C4×C43—21no—
581C22×C4×C43—21no—
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×C43C2×D411yescharacteristic
598C22×C4×C43C2×D411yescharacteristic
599C22×C4×C43C2411yescharacteristic
600C22×C4×C43C2411yescharacteristic
601C22×C4×C43C2411yescharacteristic
602C22×C4×C43C2411yescharacteristic
603C22×C4×C43C2411yescharacteristic
604Q16×C43—22no—
605Q16×C43—22no—
606Q16×C43—22no—
607Q16×C43—41no—
608Q16×C43—41no—
609Q16×C43—41no—
610Q16×C43—41no—
611Q16×C43—41no—
612Q16×C43—41no—
613SD16×C43—22no—
614SD16×C43—22no—
615SD16×C43—22no—
616SD16×C43—22no—
617SD16×C43—41no—
618SD16×C43—41no—
619SD16×C43—41no—
620SD16×C43—41no—
621SD16×C43—41no—
622SD16×C43—41no—
623SD16×C43—41no—
624SD16×C43—41no—
625D8×C43—22no—
626D8×C43—41no—
627D8×C43—41no—
628M16×C43—41no—
629M16×C43—41no—
630M16×C43—41no—
631M16×C43—41no—
632C2×C8×C43—41no—
633C2×C8×C43—41no—
634C2×C8×C43—41no—
635C2×C8×C43—41no—
636C2×C8×C43C2411yescharacteristic
637C2×C8×C43C2411yescharacteristic
638C2×C8×C43C2411yescharacteristic
639C2×C8×C43C2411yescharacteristic
640C2×C8×C43C2411yescharacteristic
641C2×C8×C43C2411yescharacteristic
642C2×C8×C43C2411yescharacteristic
643C2×C8×C43C2411yescharacteristic
644C4⋊C4×C43—21no—
645C4⋊C4×C43—21no—
646C4⋊C4×C43—21no—
647C4⋊C4×C43—21no—
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×C43C2×D411yescharacteristic
670C4⋊C4×C43C2×D411yescharacteristic
671C4⋊C4×C43C2×D411yescharacteristic
672C4⋊C4×C43C2×D411yescharacteristic
673C4⋊C4×C43C2411yescharacteristic
674C4⋊C4×C43C2411yescharacteristic
675C4⋊C4×C43C2411yescharacteristic
676C4⋊C4×C43C2411yescharacteristic
677C4⋊C4×C43C2411yescharacteristic
678C4⋊C4×C43C2411yescharacteristic
679C22⋊C4×C43—21no—
680C22⋊C4×C43—21no—
681C22⋊C4×C43—21no—
682C22⋊C4×C43—21no—
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—42no—
740C23×C43—42no—
741C23×C43—42no—
742C23×C43—81no—
743C23×C43—81no—
744C23×C43—81no—
745C23×C43—81no—
746C23×C43—81no—
747C23×C43—81no—
748C23×C43C22×D411yescharacteristic
749C23×C43C22×D411yescharacteristic
750C23×C43C22×D411yescharacteristic
751C23×C43C22×D411yescharacteristic
752C23×C43C22×D411yescharacteristic
753Q8×C43—21no—
754Q8×C43—21no—
755Q8×C43—21no—
756Q8×C43—21no—
757Q8×C43—21no—
758Q8×C43—21no—
759Q8×C43—21no—
760Q8×C43—21no—
761Q8×C43—21no—
762Q8×C43—21no—
763Q8×C43—21no—
764Q8×C43—41no—
765Q8×C43—41no—
766Q8×C43—42no—
767Q8×C43—42no—
768Q8×C43—42no—
769Q8×C43—81no—
770Q8×C43—81no—
771Q8×C43—81no—
772Q8×C43H(5,𝔽2)12yes—
773D4×C43—24no—
774D4×C43—21no—
775D4×C43—21no—
776D4×C43—21no—
777D4×C43—21no—
778D4×C43—21no—
779D4×C43—21no—
780D4×C43—21no—
781D4×C43—41no—
782D4×C43—41no—
783D4×C43—41no—
784D4×C43—41no—
785D4×C43—41no—
786D4×C43—41no—
787D4×C43—41no—
788D4×C43—41no—
789D4×C43—41no—
790D4×C43—41no—
791D4×C43—42no—
792D4×C43—42no—
793D4×C43—42no—
794D4×C43—42no—
795D4×C43—42no—
796D4×C43—42no—
797D4×C43—42no—
798D4×C43—81no—
799D4×C43—81no—
800D4×C43—81no—
801D4×C43—81no—
802D4×C43—81no—
803D4×C43—81no—
804D4×C43—81no—
805D4×C43—81no—
806D4×C43—81no—
807D4×C43H(5,𝔽2)12yes—
808C2×C4×C43—24no—
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—21no—
830C2×C4×C43—21no—
831C2×C4×C43—41no—
832C2×C4×C43—41no—
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#61691C4311yesmaximal, 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—22no—
879C22×C43—21no—
880C22×C43—21no—
881C22×C43—21no—
882C22×C43—21no—
883C22×C43—21no—
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×C43—162no—
897C22×C43—162no—
898C22×C43C23×D411yescharacteristic
899C4×C43—21no—
900C4×C43—21no—
901C4×C43—21no—
902C4×C43—21no—
903C4×C43—21no—
904C4×C43—22no—
905C4×C43—21no—
906C4×C43—21no—
907C4×C43—21no—
908C4×C43—21no—
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×C43—41no—
919C4×C43—41no—
920C4×C43C2×H(5,𝔽2)11yescharacteristic
921C4×C43C2×H(5,𝔽2)11yescharacteristic
922#3547C2×C4311yescharacteristic, complemented
923#3500C2×C4311yescharacteristic, complemented
924#3327C2×C4311yescharacteristic, complemented
925#3323C2×C4311yescharacteristic, complemented
926#3321C2×C4311yescharacteristic, complemented
927#3319C2×C4311yescharacteristic, complemented
928#3316C2×C4311yescharacteristic, complemented
929#3314C2×C4311yescharacteristic, complemented
930#3300C2×C4311yescharacteristic, complemented
931#3296C2×C4311yescharacteristic, complemented
932#3285C2×C4311yescharacteristic, complemented
933#3282C2×C4311yescharacteristic, complemented
934#3277C2×C4311yescharacteristic, complemented
935#3275C2×C4311yescharacteristic, complemented
936#3270C2×C4311yescharacteristic, complemented
937#3269C2×C4311yescharacteristic, complemented
938#3267C2×C4311yescharacteristic, complemented
939#3266C2×C4311yescharacteristic, complemented
940#3215C2×C4311yescharacteristic, complemented
941#3211C2×C4311yescharacteristic, complemented
942#3202C2×C4311yescharacteristic, complemented
943#3201C2×C4311yescharacteristic, complemented
944#3200C2×C4311yescharacteristic, complemented
945#3198C2×C4311yescharacteristic, complemented
946#3111C2×C4311yescharacteristic, complemented
947#3107C2×C4311yescharacteristic, complemented
948#3013C2×C4311yescharacteristic, complemented
949#3012C2×C4311yescharacteristic, complemented
950#3011C2×C4311yescharacteristic, complemented
951#3009C2×C4311yescharacteristic, complemented
952#2981C2×C4311yescharacteristic, complemented
953C2×C43—41no—
954C2×C43—41no—
955C2×C43—41no—
956C2×C43—41no—
957C2×C43—41no—
958C2×C43—42no—
959C2×C43—81no—
960C2×C43—81no—
961C2×C43—81no—
962C2×C43#348411yescharacteristic
963C2×C43#358411yescharacteristic
964C2×C43#358611yescharacteristic
965C2×2−1+4C22×C4311yescharacteristic
966C2×H(5,𝔽2)C22×C4311yescharacteristic
967C2×#137C22×C4311yescharacteristic
968C2×#137C22×C4311yescharacteristic, complemented
969C2×#137C22×C4311yescharacteristic, complemented
970C2×AGL(1,ℤ/8)C22×C4311yescharacteristic
971C2×#135C22×C4311yescharacteristic
972C2×#135C22×C4311yescharacteristic, complemented
973C22×Q16C22×C4311yescharacteristic, complemented
974C22×SD16C22×C4311yescharacteristic
975#562—21no—
976#562—21no—
977#555—21no—
978#555C22×C4311yescharacteristic, complemented
979#554C22×C4311yescharacteristic, complemented
980#553—21no—
981#552C22×C4311yescharacteristic, complemented
982#552C22×C4311yescharacteristic, complemented
983D4×Q8C22×C4311yescharacteristic, complemented
984#548C22×C4311yescharacteristic
985#548C22×C4311yescharacteristic
986#548C22×C4311yescharacteristic
987#548C22×C4311yescharacteristic
988#548C22×C4311yescharacteristic, complemented
989#548C22×C4311yescharacteristic, complemented
990#547C22×C4311yescharacteristic, complemented
991#546—21no—
992#546—21no—
993#546—21no—
994#546—21no—
995#546C22×C4311yescharacteristic
996#546C22×C4311yescharacteristic
997#546C22×C4311yescharacteristic
998#546C22×C4311yescharacteristic
999#544—21no—
1000#542—21no—
1001#542—21no—
1002#540—21no—
1003#537C22×C4311yescharacteristic
1004#537C22×C4311yescharacteristic, complemented
1005#536—21no—
1006#536C22×C4311yescharacteristic
1007#536C22×C4311yescharacteristic
1008#536C22×C4311yescharacteristic, complemented
1009#535—21no—
1010#535C22×C4311yescharacteristic
1011#533C22×C4311yescharacteristic, complemented
1012#532—21no—
1013#532C22×C4311yescharacteristic
1014#529C22×C4311yescharacteristic, complemented
1015C2×#124—21no—
1016C2×#124C22×C4311yescharacteristic
1017C4×#41C22×C4311yescharacteristic
1018#497C22×C4311yescharacteristic, complemented
1019#497C22×C4311yescharacteristic, complemented
1020#495C22×C4311yescharacteristic, complemented
1021#495C22×C4311yescharacteristic, complemented
1022#489C22×C4311yescharacteristic, complemented
1023#489C22×C4311yescharacteristic, complemented
1024#488C22×C4311yescharacteristic, complemented
1025#488C22×C4311yescharacteristic, complemented
1026#485C22×C4311yescharacteristic, complemented
1027#485C22×C4311yescharacteristic, complemented
1028#485C22×C4311yescharacteristic, complemented
1029#485C22×C4311yescharacteristic, complemented
1030#485C22×C4311yescharacteristic, complemented
1031#484C22×C4311yescharacteristic, complemented
1032#483C22×C4311yescharacteristic, complemented
1033#482C22×C4311yescharacteristic, complemented
1034#482C22×C4311yescharacteristic, complemented
1035#482C22×C4311yescharacteristic, complemented
1036#481C22×C4311yescharacteristic, complemented
1037#480C22×C4311yescharacteristic, complemented
1038#479C22×C4311yescharacteristic, complemented
1039#478C22×C4311yescharacteristic, complemented
1040#475C22×C4311yescharacteristic, complemented
1041#474C22×C4311yescharacteristic, complemented
1042#470C22×C4311yescharacteristic, complemented
1043#470C22×C4311yescharacteristic, complemented
1044#470C22×C4311yescharacteristic, complemented
1045#469C22×C4311yescharacteristic, complemented
1046#468C22×C4311yescharacteristic, complemented
1047#468C22×C4311yescharacteristic, complemented
1048#468C22×C4311yescharacteristic, complemented
1049#468C22×C4311yescharacteristic, complemented
1050#467C22×C4311yescharacteristic, complemented
1051#467C22×C4311yescharacteristic, complemented
1052#467C22×C4311yescharacteristic, complemented
1053#466C22×C4311yescharacteristic, complemented
1054#465C22×C4311yescharacteristic, complemented
1055#465C22×C4311yescharacteristic, complemented
1056#465C22×C4311yescharacteristic, complemented
1057#465C22×C4311yescharacteristic, complemented
1058#464C22×C4311yescharacteristic, complemented
1059#464C22×C4311yescharacteristic, complemented
1060#464C22×C4311yescharacteristic, complemented
1061#464C22×C4311yescharacteristic, complemented
1062#464C22×C4311yescharacteristic, complemented
1063#464C22×C4311yescharacteristic, complemented
1064#464C22×C4311yescharacteristic, complemented
1065#463C22×C4311yescharacteristic, complemented
1066#463C22×C4311yescharacteristic, complemented
1067#463C22×C4311yescharacteristic, complemented
1068#462C22×C4311yescharacteristic, complemented
1069#461C22×C4311yescharacteristic, complemented
1070#452C22×C4311yescharacteristic
1071#452C22×C4311yescharacteristic
1072#452C22×C4311yescharacteristic
1073#452C22×C4311yescharacteristic
1074#452C22×C4311yescharacteristic
1075#452C22×C4311yescharacteristic
1076#452C22×C4311yescharacteristic, complemented
1077#452C22×C4311yescharacteristic, complemented
1078#452C22×C4311yescharacteristic, complemented
1079#452C22×C4311yescharacteristic, complemented
1080#452C22×C4311yescharacteristic, complemented
1081#451C22×C4311yescharacteristic, complemented
1082#451C22×C4311yescharacteristic, complemented
1083#451C22×C4311yescharacteristic, complemented
1084#451C22×C4311yescharacteristic, complemented
1085#451C22×C4311yescharacteristic, complemented
1086#451C22×C4311yescharacteristic, complemented
1087#451C22×C4311yescharacteristic, complemented
1088#451C22×C4311yescharacteristic, complemented
1089#450C22×C4311yescharacteristic
1090#450C22×C4311yescharacteristic
1091#450C22×C4311yescharacteristic
1092#450C22×C4311yescharacteristic
1093#450C22×C4311yescharacteristic
1094#450C22×C4311yescharacteristic
1095#449C22×C4311yescharacteristic
1096#449C22×C4311yescharacteristic
1097#449C22×C4311yescharacteristic, complemented
1098#449C22×C4311yescharacteristic, complemented
1099#449C22×C4311yescharacteristic, complemented
1100#448C22×C4311yescharacteristic, complemented
1101#448C22×C4311yescharacteristic, complemented
1102#448C22×C4311yescharacteristic, complemented
1103#448C22×C4311yescharacteristic, complemented
1104#447C22×C4311yescharacteristic
1105#447C22×C4311yescharacteristic
1106#442C22×C4311yescharacteristic, complemented
1107#441C22×C4311yescharacteristic, complemented
1108#440C22×C4311yescharacteristic, complemented
1109#440C22×C4311yescharacteristic, complemented
1110C4×Q16C22×C4311yescharacteristic, complemented
1111C4×Q16C22×C4311yescharacteristic, complemented
1112C4×SD16C22×C4311yescharacteristic, complemented
1113C4×SD16C22×C4311yescharacteristic, complemented
1114#436C22×C4311yescharacteristic, complemented
1115#436C22×C4311yescharacteristic, complemented
1116#435C22×C4311yescharacteristic, complemented
1117#435C22×C4311yescharacteristic, complemented
1118#435C22×C4311yescharacteristic, complemented
1119#435C22×C4311yescharacteristic, complemented
1120C8×D4C22×C4311yescharacteristic, complemented
1121C8×D4C22×C4311yescharacteristic, complemented
1122#432C22×C4311yescharacteristic, complemented
1123#431C22×C4311yescharacteristic, complemented
1124#419C22×C4311yescharacteristic, complemented
1125#418C22×C4311yescharacteristic
1126#417C22×C4311yescharacteristic
1127#417C22×C4311yescharacteristic, complemented
1128#416C22×C4311yescharacteristic
1129#416C22×C4311yescharacteristic, complemented
1130C2×#103C22×C4311yescharacteristic, complemented
1131C2×#102C22×C4311yescharacteristic
1132#408C22×C4311yescharacteristic
1133#408C22×C4311yescharacteristic
1134#408C22×C4311yescharacteristic, complemented
1135#408C22×C4311yescharacteristic, complemented
1136C43#6169111yescharacteristic, direct product factor, Sylow
11372−1+4—42no—
11382−1+4—42no—
1139H(5,𝔽2)—42no—
1140H(5,𝔽2)—42no—
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
1154C22×Q8—21no—
1155C22×Q8C23×C4311yescharacteristic
1156C22×Q8C23×C4311yescharacteristic
1157C22×Q8C23×C4311yescharacteristic
1158C22×Q8C23×C4311yescharacteristic
1159C22×Q8C23×C4311yescharacteristic
1160C22×D4—21no—
1161C22×D4—21no—
1162C22×D4—21no—
1163C22×D4C23×C4311yescharacteristic
1164C22×D4C23×C4311yescharacteristic
1165C22×D4C23×C4311yescharacteristic
1166#137—42no—
1167#137—42no—
1168#137—42no—
1169AGL(1,ℤ/8)—42no—
1170#135—42no—
1171#135—42no—
1172C2×Q16—42no—
1173C2×Q16C23×C4311yescharacteristic
1174C2×Q16C23×C4311yescharacteristic
1175C2×Q16C23×C4311yescharacteristic
1176C2×Q16C23×C4311yescharacteristic
1177C2×Q16C23×C4311yescharacteristic
1178C2×Q16C23×C4311yescharacteristic
1179C2×Q16C23×C4311yescharacteristic
1180C2×Q16C23×C4311yescharacteristic
1181C2×Q16C23×C4311yescharacteristic
1182C2×SD16—42no—
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×SD16C23×C4311yescharacteristic
1193C2×SD16C23×C4311yescharacteristic
1194C2×SD16C23×C4311yescharacteristic
1195C2×D8C23×C4311yescharacteristic
1196C2×D8C23×C4311yescharacteristic
1197C2×D8C23×C4311yescharacteristic
1198C2×M16C23×C4311yescharacteristic
1199C2×M16C23×C4311yescharacteristic
1200C2×M16C23×C4311yescharacteristic
1201C2×M16C23×C4311yescharacteristic
1202C22×C8C23×C4311yescharacteristic
1203C22×C8C23×C4311yescharacteristic
1204C22×C8C23×C4311yescharacteristic
1205C22×C8C23×C4311yescharacteristic
1206C4⋊Q8—21no—
1207C4⋊Q8—21no—
1208C4⋊Q8—21no—
1209C4⋊Q8—21no—
1210C4⋊Q8D4×C4311yescharacteristic
1211C4⋊Q8C23×C4311yescharacteristic
1212C4⋊Q8C23×C4311yescharacteristic
1213#127—21no—
1214#127D4×C4311yescharacteristic
1215#126—21no—
1216#126—21no—
1217#126—21no—
1218#125—21no—
1219#125—21no—
1220#125—21no—
1221#125—21no—
1222#125C23×C4311yescharacteristic
1223#124—21no—
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#124—21no—
1233#124—21no—
1234#124—21no—
1235#124—21no—
1236#124—21no—
1237#124D4×C4311yescharacteristic
1238#124D4×C4311yescharacteristic
1239#124C23×C4311yescharacteristic
1240#124C23×C4311yescharacteristic
1241#124C23×C4311yescharacteristic
1242#124C23×C4311yescharacteristic
1243#124C23×C4311yescharacteristic
1244#123—21no—
1245#123—21no—
1246#123—21no—
1247#123—21no—
1248#123—21no—
1249#123—21no—
1250#123—21no—
1251#123—21no—
1252#123—21no—
1253#123—21no—
1254#123—21no—
1255#123—21no—
1256#123—21no—
1257#123—21no—
1258#123—21no—
1259C22⋊Q8—21no—
1260C22⋊Q8—21no—
1261C22⋊Q8—21no—
1262C22⋊Q8—21no—
1263C22⋊Q8—21no—
1264C22⋊Q8—21no—
1265C22⋊Q8—21no—
1266C22⋊Q8—21no—
1267C22⋊Q8—21no—
1268C22⋊Q8—21no—
1269C22⋊Q8—21no—
1270C22⋊Q8—21no—
1271C22⋊Q8—21no—
1272C22⋊Q8C23×C4311yescharacteristic
1273C22⋊Q8C23×C4311yescharacteristic
1274C22⋊Q8C23×C4311yescharacteristic
1275C22⋊Q8C23×C4311yescharacteristic
1276C22⋊Q8C23×C4311yescharacteristic
1277C22⋊Q8C23×C4311yescharacteristic
1278C22⋊Q8C23×C4311yescharacteristic
1279C22⋊Q8C23×C4311yescharacteristic
1280C22⋊Q8C23×C4311yescharacteristic
1281C22⋊Q8C23×C4311yescharacteristic
1282C22⋊Q8C23×C4311yescharacteristic
1283C22⋊Q8C23×C4311yescharacteristic
1284C22⋊Q8C23×C4311yescharacteristic
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#121—21no—
1301#121—21no—
1302#121—21no—
1303#121D4×C4311yescharacteristic
1304#121D4×C4311yescharacteristic
1305#121D4×C4311yescharacteristic
1306#121D4×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—
1318#120—21no—
1319#120—21no—
1320C4×Q8—21no—
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×D4C23×C4311yescharacteristic
1338C4×D4C23×C4311yescharacteristic
1339C4×D4C23×C4311yescharacteristic
1340C4×D4C23×C4311yescharacteristic
1341C4×D4C23×C4311yescharacteristic
1342C4×D4C23×C4311yescharacteristic
1343C4×D4C23×C4311yescharacteristic
1344#117—21no—
1345#117—21no—
1346#117—21no—
1347#117—21no—
1348#117—21no—
1349#117—21no—
1350#117C23×C4311yescharacteristic
1351#117C23×C4311yescharacteristic
1352#117C23×C4311yescharacteristic
1353C2×C4⋊C4—21no—
1354C2×C4⋊C4C23×C4311yescharacteristic
1355C2×C4⋊C4C23×C4311yescharacteristic
1356C2×C22⋊C4—21no—
1357C2×C22⋊C4—21no—
1358C2×C22⋊C4—21no—
1359C2×C22⋊C4—21no—
1360C2×C22⋊C4—21no—
1361C2×C22⋊C4—21no—
1362C2×C42—21no—
1363C2×C42C23×C4311yescharacteristic
1364#107C23×C4311yescharacteristic
1365#107C23×C4311yescharacteristic
1366#107C23×C4311yescharacteristic
1367#107C23×C4311yescharacteristic
1368#106C23×C4311yescharacteristic
1369#106C23×C4311yescharacteristic
1370#106C23×C4311yescharacteristic
1371#106C23×C4311yescharacteristic
1372C4⋊C8C23×C4311yescharacteristic
1373C4⋊C8C23×C4311yescharacteristic
1374C4⋊C8C23×C4311yescharacteristic
1375C4⋊C8C23×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
1406#102C23×C4311yescharacteristic
1407#102C23×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
1418C22⋊C8C23×C4311yescharacteristic
1419C22⋊C8C23×C4311yescharacteristic
1420#97C23×C4311yescharacteristic
1421#97C23×C4311yescharacteristic
1422C4×C8C23×C4311yescharacteristic
1423C4×C8C23×C4311yescharacteristic
1424C24—21no—
1425C24—21no—
1426C24—21no—
1427#41—22no—
1428#41—22no—
1429#41—22no—
1430#41—22no—
1431#41—22no—
1432#41—22no—
1433#41—41no—
1434#41—41no—
1435#41—41no—
1436#41—41no—
1437#41—41no—
1438#41—41no—
1439#41—41no—
1440#41—41no—
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—21no—
1450C2×Q8—21no—
1451C2×Q8—21no—
1452C2×Q8—21no—
1453C2×Q8—21no—
1454C2×Q8—21no—
1455C2×Q8—22no—
1456C2×Q8—22no—
1457C2×Q8—41no—
1458C2×Q8—41no—
1459C2×Q8—41no—
1460C2×Q8—41no—
1461C2×Q8—44no—
1462C2×Q8—41no—
1463C2×Q8—41no—
1464C2×Q8—41no—
1465C2×Q8—41no—
1466C2×Q8C2×D4×C4311yescharacteristic
1467C2×Q8C2×D4×C4311yescharacteristic
1468C2×Q8C24×C4311yescharacteristic
1469C2×Q8C24×C4311yescharacteristic
1470C2×Q8C24×C4311yescharacteristic
1471C2×Q8C24×C4311yescharacteristic
1472C2×Q8C24×C4311yescharacteristic
1473C2×Q8C24×C4311yescharacteristic
1474C2×D4—21no—
1475C2×D4—22no—
1476C2×D4—22no—
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—41no—
1494C2×D4—41no—
1495C2×D4—41no—
1496C2×D4—41no—
1497C2×D4—44no—
1498C2×D4—44no—
1499C2×D4—44no—
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×C4C2×D4×C4311yescharacteristic
1532C22×C4C2×D4×C4311yescharacteristic
1533C22×C4C24×C4311yescharacteristic
1534C22×C4C24×C4311yescharacteristic
1535C22×C4C24×C4311yescharacteristic
1536C22×C4C24×C4311yescharacteristic
1537C22×C4C24×C4311yescharacteristic
1538Q16—22no—
1539Q16—22no—
1540Q16—22no—
1541Q16—41no—
1542Q16—41no—
1543Q16—41no—
1544Q16—41no—
1545Q16—41no—
1546Q16—41no—
1547SD16—22no—
1548SD16—22no—
1549SD16—22no—
1550SD16—22no—
1551SD16—41no—
1552SD16—41no—
1553SD16—41no—
1554SD16—41no—
1555SD16—41no—
1556SD16—41no—
1557SD16—41no—
1558SD16—41no—
1559D8—22no—
1560D8—41no—
1561D8—41no—
1562M16—41no—
1563M16—41no—
1564M16—41no—
1565M16—41no—
1566C2×C8—41no—
1567C2×C8—41no—
1568C2×C8—41no—
1569C2×C8—41no—
1570C2×C8C24×C4311yescharacteristic
1571C2×C8C24×C4311yescharacteristic
1572C2×C8C24×C4311yescharacteristic
1573C2×C8C24×C4311yescharacteristic
1574C2×C8C24×C4311yescharacteristic
1575C2×C8C24×C4311yescharacteristic
1576C2×C8C24×C4311yescharacteristic
1577C2×C8C24×C4311yescharacteristic
1578C4⋊C4—21no—
1579C4⋊C4—21no—
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⋊C4C2×D4×C4311yescharacteristic
1604C4⋊C4C2×D4×C4311yescharacteristic
1605C4⋊C4C2×D4×C4311yescharacteristic
1606C4⋊C4C2×D4×C4311yescharacteristic
1607C4⋊C4C24×C4311yescharacteristic
1608C4⋊C4C24×C4311yescharacteristic
1609C4⋊C4C24×C4311yescharacteristic
1610C4⋊C4C24×C4311yescharacteristic
1611C4⋊C4C24×C4311yescharacteristic
1612C4⋊C4C24×C4311yescharacteristic
1613C22⋊C4—21no—
1614C22⋊C4—21no—
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⋊C4—21no—
1648C22⋊C4—21no—
1649C22⋊C4C2×D4×C4311yescharacteristic
1650C22⋊C4C2×D4×C4311yescharacteristic
1651C22⋊C4C2×D4×C4311yescharacteristic
1652C22⋊C4C2×D4×C4311yescharacteristic
1653C22⋊C4C2×D4×C4311yescharacteristic
1654C22⋊C4C2×D4×C4311yescharacteristic
1655C22⋊C4C2×D4×C4311yescharacteristic
1656C22⋊C4C2×D4×C4311yescharacteristic
1657C42—21no—
1658C42—21no—
1659C42—21no—
1660C42—21no—
1661C42—21no—
1662C42—21no—
1663C42—21no—
1664C42—21no—
1665C42C2×D4×C4311yescharacteristic
1666C42C2×D4×C4311yescharacteristic
1667C42C24×C4311yescharacteristic
1668C42C24×C4311yescharacteristic
1669C23—21no—
1670C23—21no—
1671C23—21no—
1672C23—21no—
1673C23—42no—
1674C23—42no—
1675C23—42no—
1676C23—81no—
1677C23—81no—
1678C23—81no—
1679C23—81no—
1680C23—81no—
1681C23—81no—
1682C23C22×D4×C4311yescharacteristic
1683C23C22×D4×C4311yescharacteristic
1684C23C22×D4×C4311yescharacteristic
1685C23C22×D4×C4311yescharacteristic
1686C23C22×D4×C4311yescharacteristic
1687Q8—21no—
1688Q8—21no—
1689Q8—21no—
1690Q8—21no—
1691Q8—21no—
1692Q8—21no—
1693Q8—21no—
1694Q8—21no—
1695Q8—21no—
1696Q8—21no—
1697Q8—21no—
1698Q8—41no—
1699Q8—41no—
1700Q8—42no—
1701Q8—42no—
1702Q8—42no—
1703Q8—81no—
1704Q8—81no—
1705Q8—81no—
1706Q8H(5,𝔽2)×C4312yes—
1707D4—24no—
1708D4—21no—
1709D4—21no—
1710D4—21no—
1711D4—21no—
1712D4—21no—
1713D4—21no—
1714D4—21no—
1715D4—41no—
1716D4—41no—
1717D4—41no—
1718D4—41no—
1719D4—41no—
1720D4—41no—
1721D4—41no—
1722D4—41no—
1723D4—41no—
1724D4—41no—
1725D4—42no—
1726D4—42no—
1727D4—42no—
1728D4—42no—
1729D4—42no—
1730D4—42no—
1731D4—42no—
1732D4—81no—
1733D4—81no—
1734D4—81no—
1735D4—81no—
1736D4—81no—
1737D4—81no—
1738D4—81no—
1739D4—81no—
1740D4—81no—
1741D4H(5,𝔽2)×C4312yes—
1742C2×C4—24no—
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—21no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—41no—
1766C2×C4—41no—
1767C2×C4—42no—
1768C2×C4—42no—
1769C2×C4—42no—
1770C2×C4—42no—
1771C2×C4—42no—
1772C2×C4—42no—
1773C2×C4—42no—
1774C2×C4—42no—
1775C2×C4—81no—
1776C2×C4—81no—
1777C2×C4—81no—
1778C2×C4—81no—
1779C2×C4—81no—
1780C2×C4—81no—
1781C2×C4—81no—
1782C2×C4—81no—
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×C4C22×D4×C4311yescharacteristic
1791C2×C4C22×D4×C4311yescharacteristic
1792C2×C4C25×C4311yescharacteristic
1793C8—21no—
1794C8—21no—
1795C8—21no—
1796C8—21no—
1797C8—21no—
1798C8—21no—
1799C8—21no—
1800C8—21no—
1801C22—21no—
1802C22—21no—
1803C22—22no—
1804C22—21no—
1805C22—21no—
1806C22—21no—
1807C22—21no—
1808C22—21no—
1809C22—21no—
1810C22—21no—
1811C22—21no—
1812C22—21no—
1813C22—21no—
1814C22—21no—
1815C22—21no—
1816C22—21no—
1817C22—41no—
1818C22—41no—
1819C22—41no—
1820C22—41no—
1821C22—41no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—162no—
1829C22—162no—
1830C22—162no—
1831C22C23×D4×C4311yescharacteristic
1832C4—21no—
1833C4—22no—
1834C4—21no—
1835C4—21no—
1836C4—21no—
1837C4—21no—
1838C4—21no—
1839C4—21no—
1840C4—21no—
1841C4—21no—
1842C4—41no—
1843C4—41no—
1844C4—41no—
1845C4—41no—
1846C4—41no—
1847C4—41no—
1848C4—41no—
1849C4—41no—
1850C4—41no—
1851C4—41no—
1852C4—41no—
1853C4C2×H(5,𝔽2)×C4311yescharacteristic
1854C4C2×H(5,𝔽2)×C4311yescharacteristic
1855C2—41no—
1856C2—41no—
1857C2—41no—
1858C2—41no—
1859C2—41no—
1860C2—42no—
1861C2—81no—
1862C2—81no—
1863C2—81no—
1864C2C43×#348411yescharacteristic
1865C2C43×#358411yescharacteristic
1866C2C43×#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×#3547C2semidirect
2. C43×#3500C2semidirect
3. C43×#3327C2semidirect
4. C43×#3323C2semidirect
5. C43×#3321C2semidirect
6. C43×#3319C2semidirect
7. C43×#3316C2semidirect
8. C43×#3314C2semidirect
9. C43×#3300C2semidirect
10. C43×#3296C2semidirect
11. C43×#3285C2semidirect
12. C43×#3282C2semidirect
13. C43×#3277C2semidirect
14. C43×#3275C2semidirect
15. C43×#3270C2semidirect
16. C43×#3269C2semidirect
17. C43×#3267C2semidirect
18. C43×#3266C2semidirect
19. C43×#3215C2semidirect
20. C43×#3211C2semidirect
21. C43×#3202C2semidirect
22. C43×#3201C2semidirect
23. C43×#3200C2semidirect
24. C43×#3198C2semidirect
25. C43×#3111C2semidirect
26. C43×#3107C2semidirect
27. C43×#3013C2semidirect
28. C43×#3012C2semidirect
29. C43×#3011C2semidirect
30. C43×#3009C2semidirect
31. C43×#2981C2semidirect
35. C2×#137×C43C22semidirect
36. C2×#137×C43C22semidirect
39. C2×#135×C43C22semidirect
40. C22×Q16×C43C22semidirect
45. C43×#555C22semidirect
46. C43×#554C22semidirect
48. C43×#552C22semidirect
49. C43×#552C22semidirect
50. D4×Q8×C43C22semidirect
55. C43×#548C22semidirect
56. C43×#548C22semidirect
57. C43×#547C22semidirect
71. C43×#537C22semidirect
75. C43×#536C22semidirect
78. C43×#533C22semidirect
81. C43×#529C22semidirect
85. C43×#497C22semidirect
86. C43×#497C22semidirect
87. C43×#495C22semidirect
88. C43×#495C22semidirect
89. C43×#489C22semidirect
90. C43×#489C22semidirect
91. C43×#488C22semidirect
92. C43×#488C22semidirect
93. C43×#485C22semidirect
94. C43×#485C22semidirect
95. C43×#485C22semidirect
96. C43×#485C22semidirect
97. C43×#485C22semidirect
98. C43×#484C22semidirect
99. C43×#483C22semidirect
100. C43×#482C22semidirect
101. C43×#482C22semidirect
102. C43×#482C22semidirect
103. C43×#481C22semidirect
104. C43×#480C22semidirect
105. C43×#479C22semidirect
106. C43×#478C22semidirect
107. C43×#475C22semidirect
108. C43×#474C22semidirect
109. C43×#470C22semidirect
110. C43×#470C22semidirect
111. C43×#470C22semidirect
112. C43×#469C22semidirect
113. C43×#468C22semidirect
114. C43×#468C22semidirect
115. C43×#468C22semidirect
116. C43×#468C22semidirect
117. C43×#467C22semidirect
118. C43×#467C22semidirect
119. C43×#467C22semidirect
120. C43×#466C22semidirect
121. C43×#465C22semidirect
122. C43×#465C22semidirect
123. C43×#465C22semidirect
124. C43×#465C22semidirect
125. C43×#464C22semidirect
126. C43×#464C22semidirect
127. C43×#464C22semidirect
128. C43×#464C22semidirect
129. C43×#464C22semidirect
130. C43×#464C22semidirect
131. C43×#464C22semidirect
132. C43×#463C22semidirect
133. C43×#463C22semidirect
134. C43×#463C22semidirect
135. C43×#462C22semidirect
136. C43×#461C22semidirect
143. C43×#452C22semidirect
144. C43×#452C22semidirect
145. C43×#452C22semidirect
146. C43×#452C22semidirect
147. C43×#452C22semidirect
148. C43×#451C22semidirect
149. C43×#451C22semidirect
150. C43×#451C22semidirect
151. C43×#451C22semidirect
152. C43×#451C22semidirect
153. C43×#451C22semidirect
154. C43×#451C22semidirect
155. C43×#451C22semidirect
164. C43×#449C22semidirect
165. C43×#449C22semidirect
166. C43×#449C22semidirect
167. C43×#448C22semidirect
168. C43×#448C22semidirect
169. C43×#448C22semidirect
170. C43×#448C22semidirect
173. C43×#442C22semidirect
174. C43×#441C22semidirect
175. C43×#440C22semidirect
176. C43×#440C22semidirect
177. C4×Q16×C43C22semidirect
178. C4×Q16×C43C22semidirect
179. C4×SD16×C43C22semidirect
180. C4×SD16×C43C22semidirect
181. C43×#436C22semidirect
182. C43×#436C22semidirect
183. C43×#435C22semidirect
184. C43×#435C22semidirect
185. C43×#435C22semidirect
186. C43×#435C22semidirect
187. C8×D4×C43C22semidirect
188. C8×D4×C43C22semidirect
189. C43×#432C22semidirect
190. C43×#431C22semidirect
191. C43×#419C22semidirect
194. C43×#417C22semidirect
196. C43×#416C22semidirect
197. C2×#103×C43C22semidirect
201. C43×#408C22semidirect
202. C43×#408C22semidirect
867. #61691C43direct (N × H)
922. #3547C2×C43semidirect
923. #3500C2×C43semidirect
924. #3327C2×C43semidirect
925. #3323C2×C43semidirect
926. #3321C2×C43semidirect
927. #3319C2×C43semidirect
928. #3316C2×C43semidirect
929. #3314C2×C43semidirect
930. #3300C2×C43semidirect
931. #3296C2×C43semidirect
932. #3285C2×C43semidirect
933. #3282C2×C43semidirect
934. #3277C2×C43semidirect
935. #3275C2×C43semidirect
936. #3270C2×C43semidirect
937. #3269C2×C43semidirect
938. #3267C2×C43semidirect
939. #3266C2×C43semidirect
940. #3215C2×C43semidirect
941. #3211C2×C43semidirect
942. #3202C2×C43semidirect
943. #3201C2×C43semidirect
944. #3200C2×C43semidirect
945. #3198C2×C43semidirect
946. #3111C2×C43semidirect
947. #3107C2×C43semidirect
948. #3013C2×C43semidirect
949. #3012C2×C43semidirect
950. #3011C2×C43semidirect
951. #3009C2×C43semidirect
952. #2981C2×C43semidirect
968. C2×#137C22×C43semidirect
969. C2×#137C22×C43semidirect
972. C2×#135C22×C43semidirect
973. C22×Q16C22×C43semidirect
978. #555C22×C43semidirect
979. #554C22×C43semidirect
981. #552C22×C43semidirect
982. #552C22×C43semidirect
983. D4×Q8C22×C43semidirect
988. #548C22×C43semidirect
989. #548C22×C43semidirect
990. #547C22×C43semidirect
1004. #537C22×C43semidirect
1008. #536C22×C43semidirect
1011. #533C22×C43semidirect
1014. #529C22×C43semidirect
1018. #497C22×C43semidirect
1019. #497C22×C43semidirect
1020. #495C22×C43semidirect
1021. #495C22×C43semidirect
1022. #489C22×C43semidirect
1023. #489C22×C43semidirect
1024. #488C22×C43semidirect
1025. #488C22×C43semidirect
1026. #485C22×C43semidirect
1027. #485C22×C43semidirect
1028. #485C22×C43semidirect
1029. #485C22×C43semidirect
1030. #485C22×C43semidirect
1031. #484C22×C43semidirect
1032. #483C22×C43semidirect
1033. #482C22×C43semidirect
1034. #482C22×C43semidirect
1035. #482C22×C43semidirect
1036. #481C22×C43semidirect
1037. #480C22×C43semidirect
1038. #479C22×C43semidirect
1039. #478C22×C43semidirect
1040. #475C22×C43semidirect
1041. #474C22×C43semidirect
1042. #470C22×C43semidirect
1043. #470C22×C43semidirect
1044. #470C22×C43semidirect
1045. #469C22×C43semidirect
1046. #468C22×C43semidirect
1047. #468C22×C43semidirect
1048. #468C22×C43semidirect
1049. #468C22×C43semidirect
1050. #467C22×C43semidirect
1051. #467C22×C43semidirect
1052. #467C22×C43semidirect
1053. #466C22×C43semidirect
1054. #465C22×C43semidirect
1055. #465C22×C43semidirect
1056. #465C22×C43semidirect
1057. #465C22×C43semidirect
1058. #464C22×C43semidirect
1059. #464C22×C43semidirect
1060. #464C22×C43semidirect
1061. #464C22×C43semidirect
1062. #464C22×C43semidirect
1063. #464C22×C43semidirect
1064. #464C22×C43semidirect
1065. #463C22×C43semidirect
1066. #463C22×C43semidirect
1067. #463C22×C43semidirect
1068. #462C22×C43semidirect
1069. #461C22×C43semidirect
1076. #452C22×C43semidirect
1077. #452C22×C43semidirect
1078. #452C22×C43semidirect
1079. #452C22×C43semidirect
1080. #452C22×C43semidirect
1081. #451C22×C43semidirect
1082. #451C22×C43semidirect
1083. #451C22×C43semidirect
1084. #451C22×C43semidirect
1085. #451C22×C43semidirect
1086. #451C22×C43semidirect
1087. #451C22×C43semidirect
1088. #451C22×C43semidirect
1097. #449C22×C43semidirect
1098. #449C22×C43semidirect
1099. #449C22×C43semidirect
1100. #448C22×C43semidirect
1101. #448C22×C43semidirect
1102. #448C22×C43semidirect
1103. #448C22×C43semidirect
1106. #442C22×C43semidirect
1107. #441C22×C43semidirect
1108. #440C22×C43semidirect
1109. #440C22×C43semidirect
1110. C4×Q16C22×C43semidirect
1111. C4×Q16C22×C43semidirect
1112. C4×SD16C22×C43semidirect
1113. C4×SD16C22×C43semidirect
1114. #436C22×C43semidirect
1115. #436C22×C43semidirect
1116. #435C22×C43semidirect
1117. #435C22×C43semidirect
1118. #435C22×C43semidirect
1119. #435C22×C43semidirect
1120. C8×D4C22×C43semidirect
1121. C8×D4C22×C43semidirect
1122. #432C22×C43semidirect
1123. #431C22×C43semidirect
1124. #419C22×C43semidirect
1127. #417C22×C43semidirect
1129. #416C22×C43semidirect
1130. C2×#103C22×C43semidirect
1134. #408C22×C43semidirect
1135. #408C22×C43semidirect
1136. C43#61691direct (N × H)

Maximal subgroups

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

subgroupindex
C43×#35472
C43×#35002
C43×#33272
C43×#33232
C43×#33212
C43×#33192
C43×#33162
C43×#33142
C43×#33002
C43×#32962
C43×#32852
C43×#32822
C43×#32772
C43×#32752
C43×#32702
C43×#32692
C43×#32672
C43×#32662
C43×#32152
C43×#32112
C43×#32022
C43×#32012
C43×#32002
C43×#31982
C43×#31112
C43×#31072
C43×#30132
C43×#30122
C43×#30112
C43×#30092
C43×#29812
#6169143