Finite Group Databasebeta

← C43×#62066 #24982083

Subgroups — C43×#62066 #24982083

Order 11008.

1850 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C43×#3558C211yesmaximal, characteristic, complemented
2C43×#3516C211yesmaximal, characteristic, complemented
3C43×#3401C211yesmaximal, characteristic, complemented
4C43×#3394C211yesmaximal, characteristic, complemented
5C43×#3371C211yesmaximal, characteristic, complemented
6C43×#3365C211yesmaximal, characteristic, complemented
7C43×#3323C211yesmaximal, characteristic, complemented
8C43×#3318C211yesmaximal, characteristic, complemented
9C43×#3316C211yesmaximal, characteristic, complemented
10C43×#3301C211yesmaximal, characteristic, complemented
11C43×#3296C211yesmaximal, characteristic, complemented
12C43×#3295C211yesmaximal, characteristic, complemented
13C43×#3285C211yesmaximal, characteristic, complemented
14C43×#3282C211yesmaximal, characteristic, complemented
15D4×SD16×C43C211yesmaximal, characteristic, complemented
16C43×#3275C211yesmaximal, characteristic, complemented
17C43×#3270C211yesmaximal, characteristic, complemented
18C43×#3265C211yesmaximal, characteristic, complemented
19C43×#3263C211yesmaximal, characteristic, complemented
20C43×#3258C211yesmaximal, characteristic, complemented
21C43×#3247C211yesmaximal, characteristic, complemented
22C43×#3224C211yesmaximal, characteristic, complemented
23C43×#3222C211yesmaximal, characteristic, complemented
24C43×#3211C211yesmaximal, characteristic, complemented
25C43×#3125C211yesmaximal, characteristic, complemented
26C43×#3121C211yesmaximal, characteristic, complemented
27C43×#3103C211yesmaximal, characteristic, complemented
28C43×#3045C211yesmaximal, characteristic, complemented
29C43×#3043C211yesmaximal, characteristic, complemented
30C2×C43×#464C211yesmaximal, characteristic, complemented
31C43×#2994C211yesmaximal, characteristic, complemented
32C2×#137×C43C2211yescharacteristic, complemented
33C2×AGL(1,ℤ/8)×C43C2211yescharacteristic, complemented
34C2×#135×C43C2211yescharacteristic, complemented
35C22×Q16×C43C2211yescharacteristic, complemented
36C22×SD16×C43C2211yescharacteristic
37C22×SD16×C43C2211yescharacteristic, complemented
38C43×#562—21no—
39C43×H(3,𝔽4)—21no—
40C43×#559C2211yescharacteristic
41C43×#559C2211yescharacteristic
42C43×#557C2211yescharacteristic, complemented
43C43×#556—21no—
44C43×#556C2211yescharacteristic, complemented
45C43×#554—21no—
46C43×#554C2211yescharacteristic, complemented
47C43×#553—21no—
48C43×#553C2211yescharacteristic, complemented
49C43×#552—21no—
50C43×#552C2211yescharacteristic, complemented
51D4×Q8×C43C2211yescharacteristic, complemented
52C43×#548C2211yescharacteristic
53C43×#548C2211yescharacteristic
54C43×#548C2211yescharacteristic, complemented
55C43×#548C2211yescharacteristic, complemented
56C43×#546—21no—
57C43×#546—21no—
58C43×#546C2211yescharacteristic
59C43×#546C2211yescharacteristic
60D42×C43C2211yescharacteristic
61D42×C43C2211yescharacteristic
62C43×#542—21no—
63C43×#542C2211yescharacteristic
64C43×#542C2211yescharacteristic
65C43×#542C2211yescharacteristic, complemented
66C43×#541—21no—
67C43×#541C2211yescharacteristic, complemented
68C43×#538—21no—
69C43×#538—21no—
70C43×#538—21no—
71C43×#535C2211yescharacteristic
72C43×#535C2211yescharacteristic
73C43×#534—21no—
74C43×#532C2211yescharacteristic
75C43×#529—21no—
76C43×#529—21no—
77C43×#529C2211yescharacteristic
78C43×#529C2211yescharacteristic, complemented
79C2×#124×C43C2211yescharacteristic
80C43×#520C2211yescharacteristic, complemented
81C43×#519C2211yescharacteristic, complemented
82C2×C4×Q8×C43C2211yescharacteristic, complemented
83C43×#497C2211yescharacteristic, complemented
84C43×#496C2211yescharacteristic
85C43×#495C2211yescharacteristic, complemented
86C43×#495C2211yescharacteristic, complemented
87C43×#495C2211yescharacteristic, complemented
88C43×#492C2211yescharacteristic
89C43×#490C2211yescharacteristic
90C43×#489C2211yescharacteristic, complemented
91C43×#488C2211yescharacteristic, complemented
92C43×#488C2211yescharacteristic, complemented
93C43×#488C2211yescharacteristic, complemented
94C43×#486C2211yescharacteristic
95C43×#485C2211yescharacteristic, complemented
96C43×#483C2211yescharacteristic, complemented
97C43×#482C2211yescharacteristic
98C43×#481C2211yescharacteristic
99C43×#481C2211yescharacteristic, complemented
100C43×#481C2211yescharacteristic, complemented
101C43×#479C2211yescharacteristic, complemented
102C43×#478C2211yescharacteristic, complemented
103C43×#478C2211yescharacteristic, complemented
104C43×#478C2211yescharacteristic, complemented
105C43×#477C2211yescharacteristic, complemented
106C43×#476C2211yescharacteristic, complemented
107C43×#476C2211yescharacteristic, complemented
108C43×#475C2211yescharacteristic, complemented
109C43×#475C2211yescharacteristic, complemented
110C43×#475C2211yescharacteristic, complemented
111C43×#470C2211yescharacteristic, complemented
112C43×#470C2211yescharacteristic, complemented
113C43×#469C2211yescharacteristic
114C43×#468C2211yescharacteristic
115C43×#467C2211yescharacteristic, complemented
116C43×#466C2211yescharacteristic, complemented
117C43×#466C2211yescharacteristic, complemented
118C43×#465C2211yescharacteristic
119C43×#465C2211yescharacteristic
120C43×#465C2211yescharacteristic, complemented
121C43×#465C2211yescharacteristic, complemented
122C43×#465C2211yescharacteristic, complemented
123C43×#464C2211yescharacteristic, complemented
124C43×#464C2211yescharacteristic, complemented
125C43×#464C2211yescharacteristic, complemented
126C43×#464C2211yescharacteristic, complemented
127C43×#464C2211yescharacteristic, complemented
128C43×#464C2211yescharacteristic, complemented
129C43×#464C2211yescharacteristic, complemented
130C43×#464C2211yescharacteristic, complemented
131C43×#464C2211yescharacteristic, complemented
132C43×#464C2211yescharacteristic, complemented
133C43×#464C2211yescharacteristic, complemented
134C43×#464C2211yescharacteristic, complemented
135C43×#464C2211yescharacteristic, complemented
136C43×#464C2211yescharacteristic, complemented
137C43×#463C2211yescharacteristic, complemented
138C43×#463C2211yescharacteristic, complemented
139C43×#463C2211yescharacteristic, complemented
140C43×#463C2211yescharacteristic, complemented
141C43×#463C2211yescharacteristic, complemented
142C43×#463C2211yescharacteristic, complemented
143C43×#462C2211yescharacteristic, complemented
144C43×#461C2211yescharacteristic, complemented
145C43×#460C2211yescharacteristic
146C43×#460C2211yescharacteristic
147C43×#460C2211yescharacteristic
148C43×#460C2211yescharacteristic, complemented
149C43×#460C2211yescharacteristic, complemented
150C43×#460C2211yescharacteristic, complemented
151C43×#459C2211yescharacteristic
152C43×#459C2211yescharacteristic, complemented
153C43×#452C2211yescharacteristic, complemented
154C43×#452C2211yescharacteristic, complemented
155C43×#452C2211yescharacteristic, complemented
156C43×#452C2211yescharacteristic, complemented
157C43×#451C2211yescharacteristic, complemented
158C43×#451C2211yescharacteristic, complemented
159C43×#450C2211yescharacteristic
160C43×#450C2211yescharacteristic, complemented
161C43×#450C2211yescharacteristic, complemented
162C43×#450C2211yescharacteristic, complemented
163C43×#449C2211yescharacteristic
164C43×#449C2211yescharacteristic, complemented
165C43×#448C2211yescharacteristic
166C43×#448C2211yescharacteristic, complemented
167C43×#448C2211yescharacteristic, complemented
168C43×#448C2211yescharacteristic, complemented
169C43×#447C2211yescharacteristic
170C43×#447C2211yescharacteristic, complemented
171C43×#446C2211yescharacteristic, complemented
172C8×Q8×C43C2211yescharacteristic, complemented
173C43×#442C2211yescharacteristic, complemented
174C43×#441C2211yescharacteristic, complemented
175C43×#441C2211yescharacteristic, complemented
176C43×#440C2211yescharacteristic, complemented
177C4×Q16×C43C2211yescharacteristic, complemented
178C4×SD16×C43C2211yescharacteristic, complemented
179C4×SD16×C43C2211yescharacteristic, complemented
180C4×SD16×C43C2211yescharacteristic, complemented
181C4×SD16×C43C2211yescharacteristic, complemented
182C4×SD16×C43C2211yescharacteristic, complemented
183C4×SD16×C43C2211yescharacteristic, complemented
184C4×SD16×C43C2211yescharacteristic, complemented
185C43×#436C2211yescharacteristic, complemented
186C43×#435C2211yescharacteristic, complemented
187C43×#435C2211yescharacteristic, complemented
188C8×D4×C43C2211yescharacteristic, complemented
189C8×D4×C43C2211yescharacteristic, complemented
190C8×D4×C43C2211yescharacteristic, complemented
191C43×#433C2211yescharacteristic, complemented
192C43×#433C2211yescharacteristic, complemented
193C43×#431C2211yescharacteristic, complemented
194C43×#424C2211yescharacteristic, complemented
195C43×#424C2211yescharacteristic, complemented
196C2×C4⋊C8×C43C2211yescharacteristic, complemented
197C43×#418C2211yescharacteristic, complemented
198C43×#417C2211yescharacteristic, complemented
199C43×#416C2211yescharacteristic, complemented
200C2×#103×C43C2211yescharacteristic, complemented
201C2×#102×C43C2211yescharacteristic
202C2×#102×C43C2211yescharacteristic, complemented
203C2×#41×C43—21no—
204C2×#41×C43C2311yescharacteristic
205C2×#41×C43C2311yescharacteristic
206C2×#41×C43C2311yescharacteristic
207C22×Q8×C43C2311yescharacteristic
208C22×Q8×C43C2311yescharacteristic
209C22×Q8×C43C2311yescharacteristic
210C22×D4×C43—21no—
211C22×D4×C43—21no—
212C22×D4×C43C2311yescharacteristic
213C22×D4×C43C2311yescharacteristic
214C22×D4×C43C2311yescharacteristic
215#137×C43—42no—
216AGL(1,ℤ/8)×C43—42no—
217#135×C43—42no—
218C2×Q16×C43—42no—
219C2×Q16×C43C2311yescharacteristic
220C2×Q16×C43C2311yescharacteristic
221C2×Q16×C43C2311yescharacteristic
222C2×Q16×C43C2311yescharacteristic
223C2×Q16×C43C2311yescharacteristic
224C2×Q16×C43C2311yescharacteristic
225C2×SD16×C43—42no—
226C2×SD16×C43—42no—
227C2×SD16×C43C2311yescharacteristic
228C2×SD16×C43C2311yescharacteristic
229C2×SD16×C43C2311yescharacteristic
230C2×SD16×C43C2311yescharacteristic
231C2×SD16×C43C2311yescharacteristic
232C2×SD16×C43C2311yescharacteristic
233C2×SD16×C43C2311yescharacteristic
234C2×SD16×C43C2311yescharacteristic
235C2×SD16×C43C2311yescharacteristic
236C2×SD16×C43C2311yescharacteristic
237C2×SD16×C43C2311yescharacteristic
238C2×SD16×C43C2311yescharacteristic
239C2×SD16×C43C2311yescharacteristic
240C2×SD16×C43C2311yescharacteristic
241C2×D8×C43C2311yescharacteristic
242C2×D8×C43C2311yescharacteristic
243C2×D8×C43C2311yescharacteristic
244C2×D8×C43C2311yescharacteristic
245C2×M16×C43C2311yescharacteristic
246C2×M16×C43C2311yescharacteristic
247C22×C8×C43C2311yescharacteristic
248C22×C8×C43C2311yescharacteristic
249C22×C8×C43C2311yescharacteristic
250C22×C8×C43C2311yescharacteristic
251C4⋊Q8×C43—21no—
252C4⋊Q8×C43—21no—
253C4⋊Q8×C43C2311yescharacteristic
254C4⋊Q8×C43C2311yescharacteristic
255C4⋊Q8×C43C2311yescharacteristic
256#127×C43C2311yescharacteristic
257#127×C43C2311yescharacteristic
258#127×C43C2311yescharacteristic
259#126×C43—21no—
260#126×C43—21no—
261#126×C43—21no—
262#126×C43—21no—
263#126×C43—21no—
264#126×C43—21no—
265#126×C43—21no—
266#126×C43—21no—
267#126×C43—21no—
268#126×C43—21no—
269#126×C43D411yescharacteristic
270#126×C43D411yescharacteristic
271#125×C43—21no—
272#125×C43—21no—
273#125×C43—21no—
274#125×C43—21no—
275#125×C43—21no—
276#125×C43—21no—
277#125×C43D411yescharacteristic
278#125×C43C2311yescharacteristic
279#125×C43C2311yescharacteristic
280#124×C43—21no—
281#124×C43—21no—
282#124×C43—21no—
283#124×C43—21no—
284#124×C43—21no—
285#124×C43—21no—
286#124×C43—21no—
287#124×C43—21no—
288#124×C43—21no—
289#124×C43—21no—
290#124×C43—21no—
291#124×C43—21no—
292#124×C43D411yescharacteristic
293#124×C43C2311yescharacteristic
294#124×C43C2311yescharacteristic
295#124×C43C2311yescharacteristic
296#124×C43C2311yescharacteristic
297#124×C43C2311yescharacteristic
298#124×C43C2311yescharacteristic
299#124×C43C2311yescharacteristic
300#124×C43C2311yescharacteristic
301#123×C43—21no—
302#123×C43—21no—
303#123×C43—21no—
304#123×C43—21no—
305#123×C43—21no—
306#123×C43—21no—
307#123×C43—21no—
308#123×C43—21no—
309#123×C43—21no—
310#123×C43—21no—
311#123×C43—21no—
312#123×C43—21no—
313#123×C43D411yescharacteristic
314#123×C43D411yescharacteristic
315C22⋊Q8×C43—21no—
316C22⋊Q8×C43—21no—
317C22⋊Q8×C43—21no—
318C22⋊Q8×C43—21no—
319C22⋊Q8×C43—21no—
320C22⋊Q8×C43—21no—
321C22⋊Q8×C43—21no—
322C22⋊Q8×C43—21no—
323C22⋊Q8×C43—21no—
324C22⋊Q8×C43—21no—
325C22⋊Q8×C43—21no—
326C22⋊Q8×C43—21no—
327C22⋊Q8×C43D411yescharacteristic
328C22⋊Q8×C43C2311yescharacteristic
329C22⋊Q8×C43C2311yescharacteristic
330C22⋊Q8×C43C2311yescharacteristic
331C22⋊Q8×C43C2311yescharacteristic
332C22⋊Q8×C43C2311yescharacteristic
333C22⋊Q8×C43C2311yescharacteristic
334#121×C43—21no—
335#121×C43—21no—
336#121×C43—21no—
337#121×C43—21no—
338#121×C43—21no—
339#121×C43—21no—
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×C43D411yescharacteristic
349#121×C43C2311yescharacteristic
350#121×C43C2311yescharacteristic
351#121×C43C2311yescharacteristic
352#121×C43C2311yescharacteristic
353#121×C43C2311yescharacteristic
354#121×C43C2311yescharacteristic
355#120×C43—21no—
356#120×C43—21no—
357#120×C43—21no—
358#120×C43—21no—
359#120×C43—21no—
360#120×C43—21no—
361#120×C43—21no—
362#120×C43—21no—
363#120×C43—21no—
364#120×C43—21no—
365C4×Q8×C43—21no—
366C4×Q8×C43—21no—
367C4×Q8×C43—21no—
368C4×Q8×C43—21no—
369C4×Q8×C43—21no—
370C4×Q8×C43C2311yescharacteristic
371C4×Q8×C43C2311yescharacteristic
372C4×Q8×C43C2311yescharacteristic
373C4×Q8×C43C2311yescharacteristic
374C4×Q8×C43C2311yescharacteristic
375C4×Q8×C43C2311yescharacteristic
376C4×Q8×C43C2311yescharacteristic
377C4×Q8×C43C2311yescharacteristic
378C4×Q8×C43C2311yescharacteristic
379C4×Q8×C43C2311yescharacteristic
380C4×Q8×C43C2311yescharacteristic
381C4×D4×C43—21no—
382C4×D4×C43—21no—
383C4×D4×C43—21no—
384C4×D4×C43—21no—
385C4×D4×C43—21no—
386C4×D4×C43—21no—
387C4×D4×C43—21no—
388C4×D4×C43—21no—
389C4×D4×C43—21no—
390C4×D4×C43—21no—
391C4×D4×C43—21no—
392C4×D4×C43—21no—
393C4×D4×C43—21no—
394C4×D4×C43C2311yescharacteristic
395C4×D4×C43C2311yescharacteristic
396C4×D4×C43C2311yescharacteristic
397C4×D4×C43C2311yescharacteristic
398C4×D4×C43C2311yescharacteristic
399C4×D4×C43C2311yescharacteristic
400C4×D4×C43C2311yescharacteristic
401C4×D4×C43C2311yescharacteristic
402C4×D4×C43C2311yescharacteristic
403#117×C43—21no—
404#117×C43—21no—
405#117×C43—21no—
406#117×C43—21no—
407#117×C43—21no—
408#117×C43—21no—
409#117×C43C2311yescharacteristic
410#117×C43C2311yescharacteristic
411#117×C43C2311yescharacteristic
412C2×C4⋊C4×C43—21no—
413C2×C4⋊C4×C43—21no—
414C2×C4⋊C4×C43C2311yescharacteristic
415C2×C4⋊C4×C43C2311yescharacteristic
416C2×C22⋊C4×C43—21no—
417C2×C22⋊C4×C43—21no—
418C2×C22⋊C4×C43—21no—
419C2×C22⋊C4×C43—21no—
420C2×C42×C43—21no—
421C2×C42×C43C2311yescharacteristic
422#107×C43C2311yescharacteristic
423#107×C43C2311yescharacteristic
424#106×C43C2311yescharacteristic
425#106×C43C2311yescharacteristic
426#106×C43C2311yescharacteristic
427#106×C43C2311yescharacteristic
428#106×C43C2311yescharacteristic
429#106×C43C2311yescharacteristic
430C4⋊C8×C43C2311yescharacteristic
431C4⋊C8×C43C2311yescharacteristic
432C4⋊C8×C43C2311yescharacteristic
433C4⋊C8×C43C2311yescharacteristic
434C4⋊C8×C43C2311yescharacteristic
435C4⋊C8×C43C2311yescharacteristic
436C4⋊C8×C43C2311yescharacteristic
437C4⋊C8×C43C2311yescharacteristic
438C4⋊C8×C43C2311yescharacteristic
439C4⋊C8×C43C2311yescharacteristic
440#103×C43C2311yescharacteristic
441#103×C43C2311yescharacteristic
442#103×C43C2311yescharacteristic
443#103×C43C2311yescharacteristic
444#103×C43C2311yescharacteristic
445#103×C43C2311yescharacteristic
446#103×C43C2311yescharacteristic
447#103×C43C2311yescharacteristic
448#103×C43C2311yescharacteristic
449#103×C43C2311yescharacteristic
450#103×C43C2311yescharacteristic
451#103×C43C2311yescharacteristic
452#103×C43C2311yescharacteristic
453#103×C43C2311yescharacteristic
454#102×C43C2311yescharacteristic
455#102×C43C2311yescharacteristic
456#102×C43C2311yescharacteristic
457#102×C43C2311yescharacteristic
458#102×C43C2311yescharacteristic
459#102×C43C2311yescharacteristic
460#102×C43C2311yescharacteristic
461#102×C43C2311yescharacteristic
462#102×C43C2311yescharacteristic
463#102×C43C2311yescharacteristic
464#102×C43C2311yescharacteristic
465#102×C43C2311yescharacteristic
466#102×C43C2311yescharacteristic
467#102×C43C2311yescharacteristic
468#102×C43C2311yescharacteristic
469#102×C43C2311yescharacteristic
470#102×C43C2311yescharacteristic
471#102×C43C2311yescharacteristic
472C22⋊C8×C43C2311yescharacteristic
473C22⋊C8×C43C2311yescharacteristic
474C22⋊C8×C43C2311yescharacteristic
475C22⋊C8×C43C2311yescharacteristic
476C22⋊C8×C43C2311yescharacteristic
477C22⋊C8×C43C2311yescharacteristic
478#97×C43C2311yescharacteristic
479#97×C43C2311yescharacteristic
480C4×C8×C43C2311yescharacteristic
481C4×C8×C43C2311yescharacteristic
482C4×C8×C43C2311yescharacteristic
483C4×C8×C43C2311yescharacteristic
484C24×C43—21no—
485C24×C43—21no—
486C24×C43—21no—
487#41×C43—22no—
488#41×C43—41no—
489#41×C43—41no—
490#41×C43—41no—
491#41×C43—41no—
492#41×C43—41no—
493#41×C43—82no—
494C2×Q8×C43—21no—
495C2×Q8×C43—21no—
496C2×Q8×C43—21no—
497C2×Q8×C43—21no—
498C2×Q8×C43—21no—
499C2×Q8×C43—22no—
500C2×Q8×C43—22no—
501C2×Q8×C43—41no—
502C2×Q8×C43—41no—
503C2×Q8×C43—41no—
504C2×Q8×C43—41no—
505C2×Q8×C43C2×D411yescharacteristic
506C2×Q8×C43C2411yescharacteristic
507C2×Q8×C43C2411yescharacteristic
508C2×Q8×C43C2411yescharacteristic
509C2×Q8×C43C2411yescharacteristic
510C2×Q8×C43C2411yescharacteristic
511C2×D4×C43—21no—
512C2×D4×C43—21no—
513C2×D4×C43—21no—
514C2×D4×C43—21no—
515C2×D4×C43—21no—
516C2×D4×C43—21no—
517C2×D4×C43—21no—
518C2×D4×C43—21no—
519C2×D4×C43—21no—
520C2×D4×C43—21no—
521C2×D4×C43—21no—
522C2×D4×C43—21no—
523C2×D4×C43—21no—
524C2×D4×C43—21no—
525C2×D4×C43—21no—
526C2×D4×C43—21no—
527C2×D4×C43—21no—
528C2×D4×C43—21no—
529C2×D4×C43—41no—
530C2×D4×C43—41no—
531C2×D4×C43—41no—
532C2×D4×C43—41no—
533C2×D4×C43—41no—
534C2×D4×C43—41no—
535C2×D4×C43—82no—
536C2×D4×C43—82no—
537C2×D4×C43C2×D411yescharacteristic
538C2×D4×C43C2×D411yescharacteristic
539C2×D4×C43C2×D411yescharacteristic
540C2×D4×C43C2411yescharacteristic
541C2×D4×C43C2411yescharacteristic
542C2×D4×C43C2411yescharacteristic
543C2×D4×C43C2411yescharacteristic
544C2×D4×C43C2411yescharacteristic
545C22×C4×C43—21no—
546C22×C4×C43—21no—
547C22×C4×C43—21no—
548C22×C4×C43—21no—
549C22×C4×C43—21no—
550C22×C4×C43—21no—
551C22×C4×C43—21no—
552C22×C4×C43—21no—
553C22×C4×C43—21no—
554C22×C4×C43—21no—
555C22×C4×C43—21no—
556C22×C4×C43—21no—
557C22×C4×C43—21no—
558C22×C4×C43—21no—
559C22×C4×C43C2×D411yescharacteristic
560C22×C4×C43C2×D411yescharacteristic
561C22×C4×C43C2411yescharacteristic
562C22×C4×C43C2411yescharacteristic
563C22×C4×C43C2411yescharacteristic
564Q16×C43—22no—
565Q16×C43—22no—
566Q16×C43—41no—
567Q16×C43—41no—
568Q16×C43—41no—
569Q16×C43—41no—
570SD16×C43—22no—
571SD16×C43—22no—
572SD16×C43—22no—
573SD16×C43—22no—
574SD16×C43—41no—
575SD16×C43—41no—
576SD16×C43—41no—
577SD16×C43—41no—
578SD16×C43—41no—
579SD16×C43—41no—
580SD16×C43—41no—
581SD16×C43—41no—
582SD16×C43—41no—
583SD16×C43—41no—
584D8×C43—41no—
585D8×C43—41no—
586D8×C43—41no—
587D8×C43—41no—
588M16×C43—41no—
589M16×C43—41no—
590C2×C8×C43—41no—
591C2×C8×C43—41no—
592C2×C8×C43—41no—
593C2×C8×C43—41no—
594C2×C8×C43C2411yescharacteristic
595C2×C8×C43C2411yescharacteristic
596C2×C8×C43C2411yescharacteristic
597C2×C8×C43C2411yescharacteristic
598C2×C8×C43C2411yescharacteristic
599C2×C8×C43C2411yescharacteristic
600C2×C8×C43C2411yescharacteristic
601C2×C8×C43C2411yescharacteristic
602C4⋊C4×C43—21no—
603C4⋊C4×C43—21no—
604C4⋊C4×C43—21no—
605C4⋊C4×C43—21no—
606C4⋊C4×C43—21no—
607C4⋊C4×C43—21no—
608C4⋊C4×C43—21no—
609C4⋊C4×C43—21no—
610C4⋊C4×C43—21no—
611C4⋊C4×C43—21no—
612C4⋊C4×C43—21no—
613C4⋊C4×C43—21no—
614C4⋊C4×C43—21no—
615C4⋊C4×C43—21no—
616C4⋊C4×C43—21no—
617C4⋊C4×C43—21no—
618C4⋊C4×C43—21no—
619C4⋊C4×C43—21no—
620C4⋊C4×C43—21no—
621C4⋊C4×C43—21no—
622C4⋊C4×C43—21no—
623C4⋊C4×C43—21no—
624C4⋊C4×C43—21no—
625C4⋊C4×C43—21no—
626C4⋊C4×C43—21no—
627C4⋊C4×C43—21no—
628C4⋊C4×C43C2×D411yescharacteristic
629C4⋊C4×C43C2×D411yescharacteristic
630C4⋊C4×C43C2×D411yescharacteristic
631C4⋊C4×C43C2×D411yescharacteristic
632C4⋊C4×C43C2×D411yescharacteristic
633C4⋊C4×C43C2×D411yescharacteristic
634C4⋊C4×C43C2×D411yescharacteristic
635C4⋊C4×C43C2×D411yescharacteristic
636C4⋊C4×C43C2×D411yescharacteristic
637C4⋊C4×C43C2×D411yescharacteristic
638C4⋊C4×C43C2411yescharacteristic
639C4⋊C4×C43C2411yescharacteristic
640C4⋊C4×C43C2411yescharacteristic
641C4⋊C4×C43C2411yescharacteristic
642C4⋊C4×C43C2411yescharacteristic
643C4⋊C4×C43C2411yescharacteristic
644C22⋊C4×C43—21no—
645C22⋊C4×C43—21no—
646C22⋊C4×C43—21no—
647C22⋊C4×C43—21no—
648C22⋊C4×C43—21no—
649C22⋊C4×C43—21no—
650C22⋊C4×C43—21no—
651C22⋊C4×C43—21no—
652C22⋊C4×C43—21no—
653C22⋊C4×C43—21no—
654C22⋊C4×C43—21no—
655C22⋊C4×C43—21no—
656C22⋊C4×C43—21no—
657C22⋊C4×C43—21no—
658C22⋊C4×C43—21no—
659C22⋊C4×C43—21no—
660C22⋊C4×C43—21no—
661C22⋊C4×C43—21no—
662C22⋊C4×C43—21no—
663C22⋊C4×C43—21no—
664C22⋊C4×C43—21no—
665C22⋊C4×C43—21no—
666C22⋊C4×C43—21no—
667C22⋊C4×C43—21no—
668C22⋊C4×C43—21no—
669C22⋊C4×C43—21no—
670C22⋊C4×C43—21no—
671C22⋊C4×C43—21no—
672C22⋊C4×C43—21no—
673C22⋊C4×C43—21no—
674C22⋊C4×C43—21no—
675C22⋊C4×C43—21no—
676C22⋊C4×C43—21no—
677C22⋊C4×C43—21no—
678C22⋊C4×C43—21no—
679C22⋊C4×C43C2×D411yescharacteristic
680C22⋊C4×C43C2×D411yescharacteristic
681C22⋊C4×C43C2×D411yescharacteristic
682C22⋊C4×C43C2×D411yescharacteristic
683C22⋊C4×C43C2×D411yescharacteristic
684C22⋊C4×C43C2×D411yescharacteristic
685C22⋊C4×C43C2×D411yescharacteristic
686C22⋊C4×C43C2×D411yescharacteristic
687C22⋊C4×C43C2×D411yescharacteristic
688C22⋊C4×C43C2×D411yescharacteristic
689C42×C43—21no—
690C42×C43—21no—
691C42×C43—21no—
692C42×C43—21no—
693C42×C43—21no—
694C42×C43—21no—
695C42×C43—21no—
696C42×C43—21no—
697C42×C43—21no—
698C42×C43—21no—
699C42×C43—21no—
700C42×C43C2×D411yescharacteristic
701C42×C43C2×D411yescharacteristic
702C42×C43C2411yescharacteristic
703C42×C43C2411yescharacteristic
704C42×C43C2411yescharacteristic
705C42×C43C2411yescharacteristic
706C23×C43—21no—
707C23×C43—21no—
708C23×C43—21no—
709C23×C43—21no—
710C23×C43—21no—
711C23×C43—42no—
712C23×C43—81no—
713C23×C43—81no—
714C23×C43—81no—
715C23×C43—81no—
716C23×C43—81no—
717C23×C43—81no—
718C23×C43—81no—
719C23×C43—81no—
720C23×C43C22×D411yescharacteristic
721C23×C43C22×D411yescharacteristic
722C23×C43C22×D411yescharacteristic
723Q8×C43—21no—
724Q8×C43—21no—
725Q8×C43—21no—
726Q8×C43—21no—
727Q8×C43—21no—
728Q8×C43—21no—
729Q8×C43—21no—
730Q8×C43—21no—
731Q8×C43—21no—
732Q8×C43—41no—
733Q8×C43—42no—
734Q8×C43—42no—
735Q8×C43—81no—
736Q8×C43—81no—
737Q8×C43—81no—
738Q8×C43H(5,𝔽2)12yes—
739D4×C43—22no—
740D4×C43—22no—
741D4×C43—21no—
742D4×C43—21no—
743D4×C43—21no—
744D4×C43—21no—
745D4×C43—21no—
746D4×C43—21no—
747D4×C43—21no—
748D4×C43—21no—
749D4×C43—21no—
750D4×C43—21no—
751D4×C43—41no—
752D4×C43—42no—
753D4×C43—42no—
754D4×C43—42no—
755D4×C43—42no—
756D4×C43—81no—
757D4×C43—81no—
758D4×C43—81no—
759D4×C43—81no—
760D4×C43—81no—
761D4×C43—81no—
762D4×C43—81no—
763D4×C43—81no—
764D4×C43—81no—
765D4×C43—81no—
766D4×C43—81no—
767D4×C43—81no—
768D4×C43—81no—
769D4×C43—81no—
770C2×C4×C43—22no—
771C2×C4×C43—21no—
772C2×C4×C43—21no—
773C2×C4×C43—21no—
774C2×C4×C43—21no—
775C2×C4×C43—21no—
776C2×C4×C43—21no—
777C2×C4×C43—21no—
778C2×C4×C43—21no—
779C2×C4×C43—21no—
780C2×C4×C43—21no—
781C2×C4×C43—21no—
782C2×C4×C43—21no—
783C2×C4×C43—21no—
784C2×C4×C43—21no—
785C2×C4×C43—21no—
786C2×C4×C43—21no—
787C2×C4×C43—21no—
788C2×C4×C43—41no—
789C2×C4×C43—42no—
790C2×C4×C43—42no—
791C2×C4×C43—42no—
792C2×C4×C43—81no—
793C2×C4×C43—81no—
794C2×C4×C43—81no—
795C2×C4×C43—81no—
796C2×C4×C43—81no—
797C2×C4×C43—81no—
798C2×C4×C43—81no—
799C2×C4×C43—81no—
800C2×C4×C43—81no—
801C2×C4×C43—81no—
802C2×C4×C43—81no—
803C2×C4×C43C22×D411yescharacteristic
804C2×C4×C43C22×D411yescharacteristic
805C2×C4×C43C22×D411yescharacteristic
806C2×C4×C43C22×D411yescharacteristic
807C2×C4×C43C22×D411yescharacteristic
808C2×C4×C43C22×D411yescharacteristic
809C2×C4×C43C22×D411yescharacteristic
810C2×C4×C43C22×D411yescharacteristic
811C2×C4×C43C22×D411yescharacteristic
812C2×C4×C43C22×D411yescharacteristic
813C2×C4×C43C22×D411yescharacteristic
814C2×C4×C43C2511yescharacteristic
815C8×C43—21no—
816C8×C43—21no—
817C8×C43—21no—
818C8×C43—21no—
819C8×C43—21no—
820C8×C43—21no—
821C8×C43—21no—
822C8×C43—21no—
823#62066C4311yesmaximal, characteristic, direct product factor, Sylow
824C22×C43—21no—
825C22×C43—21no—
826C22×C43—21no—
827C22×C43—21no—
828C22×C43—21no—
829C22×C43—21no—
830C22×C43—21no—
831C22×C43—21no—
832C22×C43—41no—
833C22×C43—41no—
834C22×C43—41no—
835C22×C43—41no—
836C22×C43—41no—
837C22×C43—41no—
838C22×C43—41no—
839C22×C43—41no—
840C22×C43—41no—
841C22×C43—41no—
842C22×C43—41no—
843C22×C43—41no—
844C22×C43—41no—
845C22×C43—41no—
846C22×C43—41no—
847C22×C43—162no—
848C22×C43—162no—
849C22×C43—162no—
850C22×C43#57712yes—
851C22×C43C23×D411yescharacteristic
852C4×C43—21no—
853C4×C43—21no—
854C4×C43—21no—
855C4×C43—21no—
856C4×C43—21no—
857C4×C43—21no—
858C4×C43—21no—
859C4×C43—22no—
860C4×C43—21no—
861C4×C43—21no—
862C4×C43—21no—
863C4×C43—21no—
864C4×C43—41no—
865C4×C43—41no—
866C4×C43—41no—
867C4×C43—41no—
868C4×C43—41no—
869C4×C43—41no—
870C4×C43—41no—
871C4×C43—41no—
872C4×C43—41no—
873C4×C43—41no—
874C4×C43C2×H(5,𝔽2)11yescharacteristic
875C4×C43#58511yescharacteristic
876#3558C2×C4311yescharacteristic, complemented
877#3516C2×C4311yescharacteristic, complemented
878#3401C2×C4311yescharacteristic, complemented
879#3394C2×C4311yescharacteristic, complemented
880#3371C2×C4311yescharacteristic, complemented
881#3365C2×C4311yescharacteristic, complemented
882#3323C2×C4311yescharacteristic, complemented
883#3318C2×C4311yescharacteristic, complemented
884#3316C2×C4311yescharacteristic, complemented
885#3301C2×C4311yescharacteristic, complemented
886#3296C2×C4311yescharacteristic, complemented
887#3295C2×C4311yescharacteristic, complemented
888#3285C2×C4311yescharacteristic, complemented
889#3282C2×C4311yescharacteristic, complemented
890D4×SD16C2×C4311yescharacteristic, complemented
891#3275C2×C4311yescharacteristic, complemented
892#3270C2×C4311yescharacteristic, complemented
893#3265C2×C4311yescharacteristic, complemented
894#3263C2×C4311yescharacteristic, complemented
895#3258C2×C4311yescharacteristic, complemented
896#3247C2×C4311yescharacteristic, complemented
897#3224C2×C4311yescharacteristic, complemented
898#3222C2×C4311yescharacteristic, complemented
899#3211C2×C4311yescharacteristic, complemented
900#3125C2×C4311yescharacteristic, complemented
901#3121C2×C4311yescharacteristic, complemented
902#3103C2×C4311yescharacteristic, complemented
903#3045C2×C4311yescharacteristic, complemented
904#3043C2×C4311yescharacteristic, complemented
905C2×#464C2×C4311yescharacteristic, complemented
906#2994C2×C4311yescharacteristic, complemented
907C2×C43—22no—
908C2×C43—41no—
909C2×C43—41no—
910C2×C43—81no—
911C2×C43—81no—
912C2×C43—81no—
913C2×C43—81no—
914C2×C43—81no—
915C2×C43#348811yescharacteristic
916C2×C43C2×#57711yescharacteristic
917C2×C43#358411yescharacteristic
918C2×#137C22×C4311yescharacteristic, complemented
919C2×AGL(1,ℤ/8)C22×C4311yescharacteristic, complemented
920C2×#135C22×C4311yescharacteristic, complemented
921C22×Q16C22×C4311yescharacteristic, complemented
922C22×SD16C22×C4311yescharacteristic
923C22×SD16C22×C4311yescharacteristic, complemented
924#562—21no—
925H(3,𝔽4)—21no—
926#559C22×C4311yescharacteristic
927#559C22×C4311yescharacteristic
928#557C22×C4311yescharacteristic, complemented
929#556—21no—
930#556C22×C4311yescharacteristic, complemented
931#554—21no—
932#554C22×C4311yescharacteristic, complemented
933#553—21no—
934#553C22×C4311yescharacteristic, complemented
935#552—21no—
936#552C22×C4311yescharacteristic, complemented
937D4×Q8C22×C4311yescharacteristic, complemented
938#548C22×C4311yescharacteristic
939#548C22×C4311yescharacteristic
940#548C22×C4311yescharacteristic, complemented
941#548C22×C4311yescharacteristic, complemented
942#546—21no—
943#546—21no—
944#546C22×C4311yescharacteristic
945#546C22×C4311yescharacteristic
946D42C22×C4311yescharacteristic
947D42C22×C4311yescharacteristic
948#542—21no—
949#542C22×C4311yescharacteristic
950#542C22×C4311yescharacteristic
951#542C22×C4311yescharacteristic, complemented
952#541—21no—
953#541C22×C4311yescharacteristic, complemented
954#538—21no—
955#538—21no—
956#538—21no—
957#535C22×C4311yescharacteristic
958#535C22×C4311yescharacteristic
959#534—21no—
960#532C22×C4311yescharacteristic
961#529—21no—
962#529—21no—
963#529C22×C4311yescharacteristic
964#529C22×C4311yescharacteristic, complemented
965C2×#124C22×C4311yescharacteristic
966#520C22×C4311yescharacteristic, complemented
967#519C22×C4311yescharacteristic, complemented
968C2×C4×Q8C22×C4311yescharacteristic, complemented
969#497C22×C4311yescharacteristic, complemented
970#496C22×C4311yescharacteristic
971#495C22×C4311yescharacteristic, complemented
972#495C22×C4311yescharacteristic, complemented
973#495C22×C4311yescharacteristic, complemented
974#492C22×C4311yescharacteristic
975#490C22×C4311yescharacteristic
976#489C22×C4311yescharacteristic, complemented
977#488C22×C4311yescharacteristic, complemented
978#488C22×C4311yescharacteristic, complemented
979#488C22×C4311yescharacteristic, complemented
980#486C22×C4311yescharacteristic
981#485C22×C4311yescharacteristic, complemented
982#483C22×C4311yescharacteristic, complemented
983#482C22×C4311yescharacteristic
984#481C22×C4311yescharacteristic
985#481C22×C4311yescharacteristic, complemented
986#481C22×C4311yescharacteristic, complemented
987#479C22×C4311yescharacteristic, complemented
988#478C22×C4311yescharacteristic, complemented
989#478C22×C4311yescharacteristic, complemented
990#478C22×C4311yescharacteristic, complemented
991#477C22×C4311yescharacteristic, complemented
992#476C22×C4311yescharacteristic, complemented
993#476C22×C4311yescharacteristic, complemented
994#475C22×C4311yescharacteristic, complemented
995#475C22×C4311yescharacteristic, complemented
996#475C22×C4311yescharacteristic, complemented
997#470C22×C4311yescharacteristic, complemented
998#470C22×C4311yescharacteristic, complemented
999#469C22×C4311yescharacteristic
1000#468C22×C4311yescharacteristic
1001#467C22×C4311yescharacteristic, complemented
1002#466C22×C4311yescharacteristic, complemented
1003#466C22×C4311yescharacteristic, complemented
1004#465C22×C4311yescharacteristic
1005#465C22×C4311yescharacteristic
1006#465C22×C4311yescharacteristic, complemented
1007#465C22×C4311yescharacteristic, complemented
1008#465C22×C4311yescharacteristic, complemented
1009#464C22×C4311yescharacteristic, complemented
1010#464C22×C4311yescharacteristic, complemented
1011#464C22×C4311yescharacteristic, complemented
1012#464C22×C4311yescharacteristic, complemented
1013#464C22×C4311yescharacteristic, complemented
1014#464C22×C4311yescharacteristic, complemented
1015#464C22×C4311yescharacteristic, complemented
1016#464C22×C4311yescharacteristic, complemented
1017#464C22×C4311yescharacteristic, complemented
1018#464C22×C4311yescharacteristic, complemented
1019#464C22×C4311yescharacteristic, complemented
1020#464C22×C4311yescharacteristic, complemented
1021#464C22×C4311yescharacteristic, complemented
1022#464C22×C4311yescharacteristic, complemented
1023#463C22×C4311yescharacteristic, complemented
1024#463C22×C4311yescharacteristic, complemented
1025#463C22×C4311yescharacteristic, complemented
1026#463C22×C4311yescharacteristic, complemented
1027#463C22×C4311yescharacteristic, complemented
1028#463C22×C4311yescharacteristic, complemented
1029#462C22×C4311yescharacteristic, complemented
1030#461C22×C4311yescharacteristic, complemented
1031#460C22×C4311yescharacteristic
1032#460C22×C4311yescharacteristic
1033#460C22×C4311yescharacteristic
1034#460C22×C4311yescharacteristic, complemented
1035#460C22×C4311yescharacteristic, complemented
1036#460C22×C4311yescharacteristic, complemented
1037#459C22×C4311yescharacteristic
1038#459C22×C4311yescharacteristic, complemented
1039#452C22×C4311yescharacteristic, complemented
1040#452C22×C4311yescharacteristic, complemented
1041#452C22×C4311yescharacteristic, complemented
1042#452C22×C4311yescharacteristic, complemented
1043#451C22×C4311yescharacteristic, complemented
1044#451C22×C4311yescharacteristic, complemented
1045#450C22×C4311yescharacteristic
1046#450C22×C4311yescharacteristic, complemented
1047#450C22×C4311yescharacteristic, complemented
1048#450C22×C4311yescharacteristic, complemented
1049#449C22×C4311yescharacteristic
1050#449C22×C4311yescharacteristic, complemented
1051#448C22×C4311yescharacteristic
1052#448C22×C4311yescharacteristic, complemented
1053#448C22×C4311yescharacteristic, complemented
1054#448C22×C4311yescharacteristic, complemented
1055#447C22×C4311yescharacteristic
1056#447C22×C4311yescharacteristic, complemented
1057#446C22×C4311yescharacteristic, complemented
1058C8×Q8C22×C4311yescharacteristic, complemented
1059#442C22×C4311yescharacteristic, complemented
1060#441C22×C4311yescharacteristic, complemented
1061#441C22×C4311yescharacteristic, complemented
1062#440C22×C4311yescharacteristic, complemented
1063C4×Q16C22×C4311yescharacteristic, complemented
1064C4×SD16C22×C4311yescharacteristic, complemented
1065C4×SD16C22×C4311yescharacteristic, complemented
1066C4×SD16C22×C4311yescharacteristic, complemented
1067C4×SD16C22×C4311yescharacteristic, complemented
1068C4×SD16C22×C4311yescharacteristic, complemented
1069C4×SD16C22×C4311yescharacteristic, complemented
1070C4×SD16C22×C4311yescharacteristic, complemented
1071#436C22×C4311yescharacteristic, complemented
1072#435C22×C4311yescharacteristic, complemented
1073#435C22×C4311yescharacteristic, complemented
1074C8×D4C22×C4311yescharacteristic, complemented
1075C8×D4C22×C4311yescharacteristic, complemented
1076C8×D4C22×C4311yescharacteristic, complemented
1077#433C22×C4311yescharacteristic, complemented
1078#433C22×C4311yescharacteristic, complemented
1079#431C22×C4311yescharacteristic, complemented
1080#424C22×C4311yescharacteristic, complemented
1081#424C22×C4311yescharacteristic, complemented
1082C2×C4⋊C8C22×C4311yescharacteristic, complemented
1083#418C22×C4311yescharacteristic, complemented
1084#417C22×C4311yescharacteristic, complemented
1085#416C22×C4311yescharacteristic, complemented
1086C2×#103C22×C4311yescharacteristic, complemented
1087C2×#102C22×C4311yescharacteristic
1088C2×#102C22×C4311yescharacteristic, complemented
1089C43#6206611yescharacteristic, direct product factor, Sylow
1090C2×#41—21no—
1091C2×#41C23×C4311yescharacteristic
1092C2×#41C23×C4311yescharacteristic
1093C2×#41C23×C4311yescharacteristic
1094C22×Q8C23×C4311yescharacteristic
1095C22×Q8C23×C4311yescharacteristic
1096C22×Q8C23×C4311yescharacteristic
1097C22×D4—21no—
1098C22×D4—21no—
1099C22×D4C23×C4311yescharacteristic
1100C22×D4C23×C4311yescharacteristic
1101C22×D4C23×C4311yescharacteristic
1102#137—42no—
1103AGL(1,ℤ/8)—42no—
1104#135—42no—
1105C2×Q16—42no—
1106C2×Q16C23×C4311yescharacteristic
1107C2×Q16C23×C4311yescharacteristic
1108C2×Q16C23×C4311yescharacteristic
1109C2×Q16C23×C4311yescharacteristic
1110C2×Q16C23×C4311yescharacteristic
1111C2×Q16C23×C4311yescharacteristic
1112C2×SD16—42no—
1113C2×SD16—42no—
1114C2×SD16C23×C4311yescharacteristic
1115C2×SD16C23×C4311yescharacteristic
1116C2×SD16C23×C4311yescharacteristic
1117C2×SD16C23×C4311yescharacteristic
1118C2×SD16C23×C4311yescharacteristic
1119C2×SD16C23×C4311yescharacteristic
1120C2×SD16C23×C4311yescharacteristic
1121C2×SD16C23×C4311yescharacteristic
1122C2×SD16C23×C4311yescharacteristic
1123C2×SD16C23×C4311yescharacteristic
1124C2×SD16C23×C4311yescharacteristic
1125C2×SD16C23×C4311yescharacteristic
1126C2×SD16C23×C4311yescharacteristic
1127C2×SD16C23×C4311yescharacteristic
1128C2×D8C23×C4311yescharacteristic
1129C2×D8C23×C4311yescharacteristic
1130C2×D8C23×C4311yescharacteristic
1131C2×D8C23×C4311yescharacteristic
1132C2×M16C23×C4311yescharacteristic
1133C2×M16C23×C4311yescharacteristic
1134C22×C8C23×C4311yescharacteristic
1135C22×C8C23×C4311yescharacteristic
1136C22×C8C23×C4311yescharacteristic
1137C22×C8C23×C4311yescharacteristic
1138C4⋊Q8—21no—
1139C4⋊Q8—21no—
1140C4⋊Q8C23×C4311yescharacteristic
1141C4⋊Q8C23×C4311yescharacteristic
1142C4⋊Q8C23×C4311yescharacteristic
1143#127C23×C4311yescharacteristic
1144#127C23×C4311yescharacteristic
1145#127C23×C4311yescharacteristic
1146#126—21no—
1147#126—21no—
1148#126—21no—
1149#126—21no—
1150#126—21no—
1151#126—21no—
1152#126—21no—
1153#126—21no—
1154#126—21no—
1155#126—21no—
1156#126D4×C4311yescharacteristic
1157#126D4×C4311yescharacteristic
1158#125—21no—
1159#125—21no—
1160#125—21no—
1161#125—21no—
1162#125—21no—
1163#125—21no—
1164#125D4×C4311yescharacteristic
1165#125C23×C4311yescharacteristic
1166#125C23×C4311yescharacteristic
1167#124—21no—
1168#124—21no—
1169#124—21no—
1170#124—21no—
1171#124—21no—
1172#124—21no—
1173#124—21no—
1174#124—21no—
1175#124—21no—
1176#124—21no—
1177#124—21no—
1178#124—21no—
1179#124D4×C4311yescharacteristic
1180#124C23×C4311yescharacteristic
1181#124C23×C4311yescharacteristic
1182#124C23×C4311yescharacteristic
1183#124C23×C4311yescharacteristic
1184#124C23×C4311yescharacteristic
1185#124C23×C4311yescharacteristic
1186#124C23×C4311yescharacteristic
1187#124C23×C4311yescharacteristic
1188#123—21no—
1189#123—21no—
1190#123—21no—
1191#123—21no—
1192#123—21no—
1193#123—21no—
1194#123—21no—
1195#123—21no—
1196#123—21no—
1197#123—21no—
1198#123—21no—
1199#123—21no—
1200#123D4×C4311yescharacteristic
1201#123D4×C4311yescharacteristic
1202C22⋊Q8—21no—
1203C22⋊Q8—21no—
1204C22⋊Q8—21no—
1205C22⋊Q8—21no—
1206C22⋊Q8—21no—
1207C22⋊Q8—21no—
1208C22⋊Q8—21no—
1209C22⋊Q8—21no—
1210C22⋊Q8—21no—
1211C22⋊Q8—21no—
1212C22⋊Q8—21no—
1213C22⋊Q8—21no—
1214C22⋊Q8D4×C4311yescharacteristic
1215C22⋊Q8C23×C4311yescharacteristic
1216C22⋊Q8C23×C4311yescharacteristic
1217C22⋊Q8C23×C4311yescharacteristic
1218C22⋊Q8C23×C4311yescharacteristic
1219C22⋊Q8C23×C4311yescharacteristic
1220C22⋊Q8C23×C4311yescharacteristic
1221#121—21no—
1222#121—21no—
1223#121—21no—
1224#121—21no—
1225#121—21no—
1226#121—21no—
1227#121—21no—
1228#121—21no—
1229#121—21no—
1230#121—21no—
1231#121—21no—
1232#121—21no—
1233#121—21no—
1234#121—21no—
1235#121D4×C4311yescharacteristic
1236#121C23×C4311yescharacteristic
1237#121C23×C4311yescharacteristic
1238#121C23×C4311yescharacteristic
1239#121C23×C4311yescharacteristic
1240#121C23×C4311yescharacteristic
1241#121C23×C4311yescharacteristic
1242#120—21no—
1243#120—21no—
1244#120—21no—
1245#120—21no—
1246#120—21no—
1247#120—21no—
1248#120—21no—
1249#120—21no—
1250#120—21no—
1251#120—21no—
1252C4×Q8—21no—
1253C4×Q8—21no—
1254C4×Q8—21no—
1255C4×Q8—21no—
1256C4×Q8—21no—
1257C4×Q8C23×C4311yescharacteristic
1258C4×Q8C23×C4311yescharacteristic
1259C4×Q8C23×C4311yescharacteristic
1260C4×Q8C23×C4311yescharacteristic
1261C4×Q8C23×C4311yescharacteristic
1262C4×Q8C23×C4311yescharacteristic
1263C4×Q8C23×C4311yescharacteristic
1264C4×Q8C23×C4311yescharacteristic
1265C4×Q8C23×C4311yescharacteristic
1266C4×Q8C23×C4311yescharacteristic
1267C4×Q8C23×C4311yescharacteristic
1268C4×D4—21no—
1269C4×D4—21no—
1270C4×D4—21no—
1271C4×D4—21no—
1272C4×D4—21no—
1273C4×D4—21no—
1274C4×D4—21no—
1275C4×D4—21no—
1276C4×D4—21no—
1277C4×D4—21no—
1278C4×D4—21no—
1279C4×D4—21no—
1280C4×D4—21no—
1281C4×D4C23×C4311yescharacteristic
1282C4×D4C23×C4311yescharacteristic
1283C4×D4C23×C4311yescharacteristic
1284C4×D4C23×C4311yescharacteristic
1285C4×D4C23×C4311yescharacteristic
1286C4×D4C23×C4311yescharacteristic
1287C4×D4C23×C4311yescharacteristic
1288C4×D4C23×C4311yescharacteristic
1289C4×D4C23×C4311yescharacteristic
1290#117—21no—
1291#117—21no—
1292#117—21no—
1293#117—21no—
1294#117—21no—
1295#117—21no—
1296#117C23×C4311yescharacteristic
1297#117C23×C4311yescharacteristic
1298#117C23×C4311yescharacteristic
1299C2×C4⋊C4—21no—
1300C2×C4⋊C4—21no—
1301C2×C4⋊C4C23×C4311yescharacteristic
1302C2×C4⋊C4C23×C4311yescharacteristic
1303C2×C22⋊C4—21no—
1304C2×C22⋊C4—21no—
1305C2×C22⋊C4—21no—
1306C2×C22⋊C4—21no—
1307C2×C42—21no—
1308C2×C42C23×C4311yescharacteristic
1309#107C23×C4311yescharacteristic
1310#107C23×C4311yescharacteristic
1311#106C23×C4311yescharacteristic
1312#106C23×C4311yescharacteristic
1313#106C23×C4311yescharacteristic
1314#106C23×C4311yescharacteristic
1315#106C23×C4311yescharacteristic
1316#106C23×C4311yescharacteristic
1317C4⋊C8C23×C4311yescharacteristic
1318C4⋊C8C23×C4311yescharacteristic
1319C4⋊C8C23×C4311yescharacteristic
1320C4⋊C8C23×C4311yescharacteristic
1321C4⋊C8C23×C4311yescharacteristic
1322C4⋊C8C23×C4311yescharacteristic
1323C4⋊C8C23×C4311yescharacteristic
1324C4⋊C8C23×C4311yescharacteristic
1325C4⋊C8C23×C4311yescharacteristic
1326C4⋊C8C23×C4311yescharacteristic
1327#103C23×C4311yescharacteristic
1328#103C23×C4311yescharacteristic
1329#103C23×C4311yescharacteristic
1330#103C23×C4311yescharacteristic
1331#103C23×C4311yescharacteristic
1332#103C23×C4311yescharacteristic
1333#103C23×C4311yescharacteristic
1334#103C23×C4311yescharacteristic
1335#103C23×C4311yescharacteristic
1336#103C23×C4311yescharacteristic
1337#103C23×C4311yescharacteristic
1338#103C23×C4311yescharacteristic
1339#103C23×C4311yescharacteristic
1340#103C23×C4311yescharacteristic
1341#102C23×C4311yescharacteristic
1342#102C23×C4311yescharacteristic
1343#102C23×C4311yescharacteristic
1344#102C23×C4311yescharacteristic
1345#102C23×C4311yescharacteristic
1346#102C23×C4311yescharacteristic
1347#102C23×C4311yescharacteristic
1348#102C23×C4311yescharacteristic
1349#102C23×C4311yescharacteristic
1350#102C23×C4311yescharacteristic
1351#102C23×C4311yescharacteristic
1352#102C23×C4311yescharacteristic
1353#102C23×C4311yescharacteristic
1354#102C23×C4311yescharacteristic
1355#102C23×C4311yescharacteristic
1356#102C23×C4311yescharacteristic
1357#102C23×C4311yescharacteristic
1358#102C23×C4311yescharacteristic
1359C22⋊C8C23×C4311yescharacteristic
1360C22⋊C8C23×C4311yescharacteristic
1361C22⋊C8C23×C4311yescharacteristic
1362C22⋊C8C23×C4311yescharacteristic
1363C22⋊C8C23×C4311yescharacteristic
1364C22⋊C8C23×C4311yescharacteristic
1365#97C23×C4311yescharacteristic
1366#97C23×C4311yescharacteristic
1367C4×C8C23×C4311yescharacteristic
1368C4×C8C23×C4311yescharacteristic
1369C4×C8C23×C4311yescharacteristic
1370C4×C8C23×C4311yescharacteristic
1371C24—21no—
1372C24—21no—
1373C24—21no—
1374#41—22no—
1375#41—41no—
1376#41—41no—
1377#41—41no—
1378#41—41no—
1379#41—41no—
1380#41—82no—
1381C2×Q8—21no—
1382C2×Q8—21no—
1383C2×Q8—21no—
1384C2×Q8—21no—
1385C2×Q8—21no—
1386C2×Q8—22no—
1387C2×Q8—22no—
1388C2×Q8—41no—
1389C2×Q8—41no—
1390C2×Q8—41no—
1391C2×Q8—41no—
1392C2×Q8C2×D4×C4311yescharacteristic
1393C2×Q8C24×C4311yescharacteristic
1394C2×Q8C24×C4311yescharacteristic
1395C2×Q8C24×C4311yescharacteristic
1396C2×Q8C24×C4311yescharacteristic
1397C2×Q8C24×C4311yescharacteristic
1398C2×D4—21no—
1399C2×D4—21no—
1400C2×D4—21no—
1401C2×D4—21no—
1402C2×D4—21no—
1403C2×D4—21no—
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—21no—
1408C2×D4—21no—
1409C2×D4—21no—
1410C2×D4—21no—
1411C2×D4—21no—
1412C2×D4—21no—
1413C2×D4—21no—
1414C2×D4—21no—
1415C2×D4—21no—
1416C2×D4—41no—
1417C2×D4—41no—
1418C2×D4—41no—
1419C2×D4—41no—
1420C2×D4—41no—
1421C2×D4—41no—
1422C2×D4—82no—
1423C2×D4—82no—
1424C2×D4C2×D4×C4311yescharacteristic
1425C2×D4C2×D4×C4311yescharacteristic
1426C2×D4C2×D4×C4311yescharacteristic
1427C2×D4C24×C4311yescharacteristic
1428C2×D4C24×C4311yescharacteristic
1429C2×D4C24×C4311yescharacteristic
1430C2×D4C24×C4311yescharacteristic
1431C2×D4C24×C4311yescharacteristic
1432C22×C4—21no—
1433C22×C4—21no—
1434C22×C4—21no—
1435C22×C4—21no—
1436C22×C4—21no—
1437C22×C4—21no—
1438C22×C4—21no—
1439C22×C4—21no—
1440C22×C4—21no—
1441C22×C4—21no—
1442C22×C4—21no—
1443C22×C4—21no—
1444C22×C4—21no—
1445C22×C4—21no—
1446C22×C4C2×D4×C4311yescharacteristic
1447C22×C4C2×D4×C4311yescharacteristic
1448C22×C4C24×C4311yescharacteristic
1449C22×C4C24×C4311yescharacteristic
1450C22×C4C24×C4311yescharacteristic
1451Q16—22no—
1452Q16—22no—
1453Q16—41no—
1454Q16—41no—
1455Q16—41no—
1456Q16—41no—
1457SD16—22no—
1458SD16—22no—
1459SD16—22no—
1460SD16—22no—
1461SD16—41no—
1462SD16—41no—
1463SD16—41no—
1464SD16—41no—
1465SD16—41no—
1466SD16—41no—
1467SD16—41no—
1468SD16—41no—
1469SD16—41no—
1470SD16—41no—
1471D8—41no—
1472D8—41no—
1473D8—41no—
1474D8—41no—
1475M16—41no—
1476M16—41no—
1477C2×C8—41no—
1478C2×C8—41no—
1479C2×C8—41no—
1480C2×C8—41no—
1481C2×C8C24×C4311yescharacteristic
1482C2×C8C24×C4311yescharacteristic
1483C2×C8C24×C4311yescharacteristic
1484C2×C8C24×C4311yescharacteristic
1485C2×C8C24×C4311yescharacteristic
1486C2×C8C24×C4311yescharacteristic
1487C2×C8C24×C4311yescharacteristic
1488C2×C8C24×C4311yescharacteristic
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—21no—
1492C4⋊C4—21no—
1493C4⋊C4—21no—
1494C4⋊C4—21no—
1495C4⋊C4—21no—
1496C4⋊C4—21no—
1497C4⋊C4—21no—
1498C4⋊C4—21no—
1499C4⋊C4—21no—
1500C4⋊C4—21no—
1501C4⋊C4—21no—
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—21no—
1506C4⋊C4—21no—
1507C4⋊C4—21no—
1508C4⋊C4—21no—
1509C4⋊C4—21no—
1510C4⋊C4—21no—
1511C4⋊C4—21no—
1512C4⋊C4—21no—
1513C4⋊C4—21no—
1514C4⋊C4—21no—
1515C4⋊C4C2×D4×C4311yescharacteristic
1516C4⋊C4C2×D4×C4311yescharacteristic
1517C4⋊C4C2×D4×C4311yescharacteristic
1518C4⋊C4C2×D4×C4311yescharacteristic
1519C4⋊C4C2×D4×C4311yescharacteristic
1520C4⋊C4C2×D4×C4311yescharacteristic
1521C4⋊C4C2×D4×C4311yescharacteristic
1522C4⋊C4C2×D4×C4311yescharacteristic
1523C4⋊C4C2×D4×C4311yescharacteristic
1524C4⋊C4C2×D4×C4311yescharacteristic
1525C4⋊C4C24×C4311yescharacteristic
1526C4⋊C4C24×C4311yescharacteristic
1527C4⋊C4C24×C4311yescharacteristic
1528C4⋊C4C24×C4311yescharacteristic
1529C4⋊C4C24×C4311yescharacteristic
1530C4⋊C4C24×C4311yescharacteristic
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—21no—
1534C22⋊C4—21no—
1535C22⋊C4—21no—
1536C22⋊C4—21no—
1537C22⋊C4—21no—
1538C22⋊C4—21no—
1539C22⋊C4—21no—
1540C22⋊C4—21no—
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—21no—
1551C22⋊C4—21no—
1552C22⋊C4—21no—
1553C22⋊C4—21no—
1554C22⋊C4—21no—
1555C22⋊C4—21no—
1556C22⋊C4—21no—
1557C22⋊C4—21no—
1558C22⋊C4—21no—
1559C22⋊C4—21no—
1560C22⋊C4—21no—
1561C22⋊C4—21no—
1562C22⋊C4—21no—
1563C22⋊C4—21no—
1564C22⋊C4—21no—
1565C22⋊C4—21no—
1566C22⋊C4C2×D4×C4311yescharacteristic
1567C22⋊C4C2×D4×C4311yescharacteristic
1568C22⋊C4C2×D4×C4311yescharacteristic
1569C22⋊C4C2×D4×C4311yescharacteristic
1570C22⋊C4C2×D4×C4311yescharacteristic
1571C22⋊C4C2×D4×C4311yescharacteristic
1572C22⋊C4C2×D4×C4311yescharacteristic
1573C22⋊C4C2×D4×C4311yescharacteristic
1574C22⋊C4C2×D4×C4311yescharacteristic
1575C22⋊C4C2×D4×C4311yescharacteristic
1576C42—21no—
1577C42—21no—
1578C42—21no—
1579C42—21no—
1580C42—21no—
1581C42—21no—
1582C42—21no—
1583C42—21no—
1584C42—21no—
1585C42—21no—
1586C42—21no—
1587C42C2×D4×C4311yescharacteristic
1588C42C2×D4×C4311yescharacteristic
1589C42C24×C4311yescharacteristic
1590C42C24×C4311yescharacteristic
1591C42C24×C4311yescharacteristic
1592C42C24×C4311yescharacteristic
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—42no—
1599C23—81no—
1600C23—81no—
1601C23—81no—
1602C23—81no—
1603C23—81no—
1604C23—81no—
1605C23—81no—
1606C23—81no—
1607C23C22×D4×C4311yescharacteristic
1608C23C22×D4×C4311yescharacteristic
1609C23C22×D4×C4311yescharacteristic
1610Q8—21no—
1611Q8—21no—
1612Q8—21no—
1613Q8—21no—
1614Q8—21no—
1615Q8—21no—
1616Q8—21no—
1617Q8—21no—
1618Q8—21no—
1619Q8—41no—
1620Q8—42no—
1621Q8—42no—
1622Q8—81no—
1623Q8—81no—
1624Q8—81no—
1625Q8H(5,𝔽2)×C4312yes—
1626D4—22no—
1627D4—22no—
1628D4—21no—
1629D4—21no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—21no—
1634D4—21no—
1635D4—21no—
1636D4—21no—
1637D4—21no—
1638D4—41no—
1639D4—42no—
1640D4—42no—
1641D4—42no—
1642D4—42no—
1643D4—81no—
1644D4—81no—
1645D4—81no—
1646D4—81no—
1647D4—81no—
1648D4—81no—
1649D4—81no—
1650D4—81no—
1651D4—81no—
1652D4—81no—
1653D4—81no—
1654D4—81no—
1655D4—81no—
1656D4—81no—
1657C2×C4—22no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—41no—
1676C2×C4—42no—
1677C2×C4—42no—
1678C2×C4—42no—
1679C2×C4—81no—
1680C2×C4—81no—
1681C2×C4—81no—
1682C2×C4—81no—
1683C2×C4—81no—
1684C2×C4—81no—
1685C2×C4—81no—
1686C2×C4—81no—
1687C2×C4—81no—
1688C2×C4—81no—
1689C2×C4—81no—
1690C2×C4C22×D4×C4311yescharacteristic
1691C2×C4C22×D4×C4311yescharacteristic
1692C2×C4C22×D4×C4311yescharacteristic
1693C2×C4C22×D4×C4311yescharacteristic
1694C2×C4C22×D4×C4311yescharacteristic
1695C2×C4C22×D4×C4311yescharacteristic
1696C2×C4C22×D4×C4311yescharacteristic
1697C2×C4C22×D4×C4311yescharacteristic
1698C2×C4C22×D4×C4311yescharacteristic
1699C2×C4C22×D4×C4311yescharacteristic
1700C2×C4C22×D4×C4311yescharacteristic
1701C2×C4C25×C4311yescharacteristic
1702C8—21no—
1703C8—21no—
1704C8—21no—
1705C8—21no—
1706C8—21no—
1707C8—21no—
1708C8—21no—
1709C8—21no—
1710C22—21no—
1711C22—21no—
1712C22—21no—
1713C22—21no—
1714C22—21no—
1715C22—21no—
1716C22—21no—
1717C22—21no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—162no—
1734C22—162no—
1735C22—162no—
1736C22C43×#57712yes—
1737C22C23×D4×C4311yescharacteristic
1738C4—21no—
1739C4—21no—
1740C4—21no—
1741C4—22no—
1742C4—21no—
1743C4—21no—
1744C4—21no—
1745C4—21no—
1746C4—21no—
1747C4—21no—
1748C4—21no—
1749C4—21no—
1750C4—41no—
1751C4—41no—
1752C4—41no—
1753C4—41no—
1754C4—41no—
1755C4—41no—
1756C4—41no—
1757C4—41no—
1758C4—41no—
1759C4—41no—
1760C4C2×H(5,𝔽2)×C4311yescharacteristic
1761C4C43×#58511yescharacteristic
1762C2—22no—
1763C2—41no—
1764C2—41no—
1765C2—81no—
1766C2—81no—
1767C2—81no—
1768C2—81no—
1769C2—81no—
1770C2C43×#348811yescharacteristic
1771C2C2×C43×#57711yescharacteristic
1772C2C43×#358411yescharacteristic
subgroupG/H
center, socleC22×C43C23×D4
commutator, Frattini, cosocleC2×C4C25×C43
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C43 ◁ C43×#529 ◁ G

Complements

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

NH ≅ G/Ntype
1. C43×#3558C2semidirect
2. C43×#3516C2semidirect
3. C43×#3401C2semidirect
4. C43×#3394C2semidirect
5. C43×#3371C2semidirect
6. C43×#3365C2semidirect
7. C43×#3323C2semidirect
8. C43×#3318C2semidirect
9. C43×#3316C2semidirect
10. C43×#3301C2semidirect
11. C43×#3296C2semidirect
12. C43×#3295C2semidirect
13. C43×#3285C2semidirect
14. C43×#3282C2semidirect
15. D4×SD16×C43C2semidirect
16. C43×#3275C2semidirect
17. C43×#3270C2semidirect
18. C43×#3265C2semidirect
19. C43×#3263C2semidirect
20. C43×#3258C2semidirect
21. C43×#3247C2semidirect
22. C43×#3224C2semidirect
23. C43×#3222C2semidirect
24. C43×#3211C2semidirect
25. C43×#3125C2semidirect
26. C43×#3121C2semidirect
27. C43×#3103C2semidirect
28. C43×#3045C2semidirect
29. C43×#3043C2semidirect
30. C2×C43×#464C2semidirect
31. C43×#2994C2semidirect
32. C2×#137×C43C22semidirect
33. C2×AGL(1,ℤ/8)×C43C22semidirect
34. C2×#135×C43C22semidirect
35. C22×Q16×C43C22semidirect
37. C22×SD16×C43C22semidirect
42. C43×#557C22semidirect
44. C43×#556C22semidirect
46. C43×#554C22semidirect
48. C43×#553C22semidirect
50. C43×#552C22semidirect
51. D4×Q8×C43C22semidirect
54. C43×#548C22semidirect
55. C43×#548C22semidirect
65. C43×#542C22semidirect
67. C43×#541C22semidirect
78. C43×#529C22semidirect
80. C43×#520C22semidirect
81. C43×#519C22semidirect
82. C2×C4×Q8×C43C22semidirect
83. C43×#497C22semidirect
85. C43×#495C22semidirect
86. C43×#495C22semidirect
87. C43×#495C22semidirect
90. C43×#489C22semidirect
91. C43×#488C22semidirect
92. C43×#488C22semidirect
93. C43×#488C22semidirect
95. C43×#485C22semidirect
96. C43×#483C22semidirect
99. C43×#481C22semidirect
100. C43×#481C22semidirect
101. C43×#479C22semidirect
102. C43×#478C22semidirect
103. C43×#478C22semidirect
104. C43×#478C22semidirect
105. C43×#477C22semidirect
106. C43×#476C22semidirect
107. C43×#476C22semidirect
108. C43×#475C22semidirect
109. C43×#475C22semidirect
110. C43×#475C22semidirect
111. C43×#470C22semidirect
112. C43×#470C22semidirect
115. C43×#467C22semidirect
116. C43×#466C22semidirect
117. C43×#466C22semidirect
120. C43×#465C22semidirect
121. C43×#465C22semidirect
122. C43×#465C22semidirect
123. C43×#464C22semidirect
124. C43×#464C22semidirect
125. C43×#464C22semidirect
126. C43×#464C22semidirect
127. C43×#464C22semidirect
128. C43×#464C22semidirect
129. C43×#464C22semidirect
130. C43×#464C22semidirect
131. C43×#464C22semidirect
132. C43×#464C22semidirect
133. C43×#464C22semidirect
134. C43×#464C22semidirect
135. C43×#464C22semidirect
136. C43×#464C22semidirect
137. C43×#463C22semidirect
138. C43×#463C22semidirect
139. C43×#463C22semidirect
140. C43×#463C22semidirect
141. C43×#463C22semidirect
142. C43×#463C22semidirect
143. C43×#462C22semidirect
144. C43×#461C22semidirect
148. C43×#460C22semidirect
149. C43×#460C22semidirect
150. C43×#460C22semidirect
152. C43×#459C22semidirect
153. C43×#452C22semidirect
154. C43×#452C22semidirect
155. C43×#452C22semidirect
156. C43×#452C22semidirect
157. C43×#451C22semidirect
158. C43×#451C22semidirect
160. C43×#450C22semidirect
161. C43×#450C22semidirect
162. C43×#450C22semidirect
164. C43×#449C22semidirect
166. C43×#448C22semidirect
167. C43×#448C22semidirect
168. C43×#448C22semidirect
170. C43×#447C22semidirect
171. C43×#446C22semidirect
172. C8×Q8×C43C22semidirect
173. C43×#442C22semidirect
174. C43×#441C22semidirect
175. C43×#441C22semidirect
176. C43×#440C22semidirect
177. C4×Q16×C43C22semidirect
178. C4×SD16×C43C22semidirect
179. C4×SD16×C43C22semidirect
180. C4×SD16×C43C22semidirect
181. C4×SD16×C43C22semidirect
182. C4×SD16×C43C22semidirect
183. C4×SD16×C43C22semidirect
184. C4×SD16×C43C22semidirect
185. C43×#436C22semidirect
186. C43×#435C22semidirect
187. C43×#435C22semidirect
188. C8×D4×C43C22semidirect
189. C8×D4×C43C22semidirect
190. C8×D4×C43C22semidirect
191. C43×#433C22semidirect
192. C43×#433C22semidirect
193. C43×#431C22semidirect
194. C43×#424C22semidirect
195. C43×#424C22semidirect
196. C2×C4⋊C8×C43C22semidirect
197. C43×#418C22semidirect
198. C43×#417C22semidirect
199. C43×#416C22semidirect
200. C2×#103×C43C22semidirect
202. C2×#102×C43C22semidirect
823. #62066C43direct (N × H)
876. #3558C2×C43semidirect
877. #3516C2×C43semidirect
878. #3401C2×C43semidirect
879. #3394C2×C43semidirect
880. #3371C2×C43semidirect
881. #3365C2×C43semidirect
882. #3323C2×C43semidirect
883. #3318C2×C43semidirect
884. #3316C2×C43semidirect
885. #3301C2×C43semidirect
886. #3296C2×C43semidirect
887. #3295C2×C43semidirect
888. #3285C2×C43semidirect
889. #3282C2×C43semidirect
890. D4×SD16C2×C43semidirect
891. #3275C2×C43semidirect
892. #3270C2×C43semidirect
893. #3265C2×C43semidirect
894. #3263C2×C43semidirect
895. #3258C2×C43semidirect
896. #3247C2×C43semidirect
897. #3224C2×C43semidirect
898. #3222C2×C43semidirect
899. #3211C2×C43semidirect
900. #3125C2×C43semidirect
901. #3121C2×C43semidirect
902. #3103C2×C43semidirect
903. #3045C2×C43semidirect
904. #3043C2×C43semidirect
905. C2×#464C2×C43semidirect
906. #2994C2×C43semidirect
918. C2×#137C22×C43semidirect
919. C2×AGL(1,ℤ/8)C22×C43semidirect
920. C2×#135C22×C43semidirect
921. C22×Q16C22×C43semidirect
923. C22×SD16C22×C43semidirect
928. #557C22×C43semidirect
930. #556C22×C43semidirect
932. #554C22×C43semidirect
934. #553C22×C43semidirect
936. #552C22×C43semidirect
937. D4×Q8C22×C43semidirect
940. #548C22×C43semidirect
941. #548C22×C43semidirect
951. #542C22×C43semidirect
953. #541C22×C43semidirect
964. #529C22×C43semidirect
966. #520C22×C43semidirect
967. #519C22×C43semidirect
968. C2×C4×Q8C22×C43semidirect
969. #497C22×C43semidirect
971. #495C22×C43semidirect
972. #495C22×C43semidirect
973. #495C22×C43semidirect
976. #489C22×C43semidirect
977. #488C22×C43semidirect
978. #488C22×C43semidirect
979. #488C22×C43semidirect
981. #485C22×C43semidirect
982. #483C22×C43semidirect
985. #481C22×C43semidirect
986. #481C22×C43semidirect
987. #479C22×C43semidirect
988. #478C22×C43semidirect
989. #478C22×C43semidirect
990. #478C22×C43semidirect
991. #477C22×C43semidirect
992. #476C22×C43semidirect
993. #476C22×C43semidirect
994. #475C22×C43semidirect
995. #475C22×C43semidirect
996. #475C22×C43semidirect
997. #470C22×C43semidirect
998. #470C22×C43semidirect
1001. #467C22×C43semidirect
1002. #466C22×C43semidirect
1003. #466C22×C43semidirect
1006. #465C22×C43semidirect
1007. #465C22×C43semidirect
1008. #465C22×C43semidirect
1009. #464C22×C43semidirect
1010. #464C22×C43semidirect
1011. #464C22×C43semidirect
1012. #464C22×C43semidirect
1013. #464C22×C43semidirect
1014. #464C22×C43semidirect
1015. #464C22×C43semidirect
1016. #464C22×C43semidirect
1017. #464C22×C43semidirect
1018. #464C22×C43semidirect
1019. #464C22×C43semidirect
1020. #464C22×C43semidirect
1021. #464C22×C43semidirect
1022. #464C22×C43semidirect
1023. #463C22×C43semidirect
1024. #463C22×C43semidirect
1025. #463C22×C43semidirect
1026. #463C22×C43semidirect
1027. #463C22×C43semidirect
1028. #463C22×C43semidirect
1029. #462C22×C43semidirect
1030. #461C22×C43semidirect
1034. #460C22×C43semidirect
1035. #460C22×C43semidirect
1036. #460C22×C43semidirect
1038. #459C22×C43semidirect
1039. #452C22×C43semidirect
1040. #452C22×C43semidirect
1041. #452C22×C43semidirect
1042. #452C22×C43semidirect
1043. #451C22×C43semidirect
1044. #451C22×C43semidirect
1046. #450C22×C43semidirect
1047. #450C22×C43semidirect
1048. #450C22×C43semidirect
1050. #449C22×C43semidirect
1052. #448C22×C43semidirect
1053. #448C22×C43semidirect
1054. #448C22×C43semidirect
1056. #447C22×C43semidirect
1057. #446C22×C43semidirect
1058. C8×Q8C22×C43semidirect
1059. #442C22×C43semidirect
1060. #441C22×C43semidirect
1061. #441C22×C43semidirect
1062. #440C22×C43semidirect
1063. C4×Q16C22×C43semidirect
1064. C4×SD16C22×C43semidirect
1065. C4×SD16C22×C43semidirect
1066. C4×SD16C22×C43semidirect
1067. C4×SD16C22×C43semidirect
1068. C4×SD16C22×C43semidirect
1069. C4×SD16C22×C43semidirect
1070. C4×SD16C22×C43semidirect
1071. #436C22×C43semidirect
1072. #435C22×C43semidirect
1073. #435C22×C43semidirect
1074. C8×D4C22×C43semidirect
1075. C8×D4C22×C43semidirect
1076. C8×D4C22×C43semidirect
1077. #433C22×C43semidirect
1078. #433C22×C43semidirect
1079. #431C22×C43semidirect
1080. #424C22×C43semidirect
1081. #424C22×C43semidirect
1082. C2×C4⋊C8C22×C43semidirect
1083. #418C22×C43semidirect
1084. #417C22×C43semidirect
1085. #416C22×C43semidirect
1086. C2×#103C22×C43semidirect
1088. C2×#102C22×C43semidirect
1089. C43#62066direct (N × H)

Maximal subgroups

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

subgroupindex
C43×#35582
C43×#35162
C43×#34012
C43×#33942
C43×#33712
C43×#33652
C43×#33232
C43×#33182
C43×#33162
C43×#33012
C43×#32962
C43×#32952
C43×#32852
C43×#32822
D4×SD16×C432
C43×#32752
C43×#32702
C43×#32652
C43×#32632
C43×#32582
C43×#32472
C43×#32242
C43×#32222
C43×#32112
C43×#31252
C43×#31212
C43×#31032
C43×#30452
C43×#30432
C2×C43×#4642
C43×#29942
#6206643