Finite Group Databasebeta

← AGL(1,ℤ/9)×AGL(1,ℤ/16) #72244385

Subgroups — AGL(1,ℤ/9)×AGL(1,ℤ/16) #72244385

Order 6912.

2207 conjugacy classes of subgroups.

The subgroup lattice has 1875 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#72244376C211yesmaximal, characteristic, complemented
2#72244375C211yesmaximal, characteristic, complemented
3#72244374C211yesmaximal, characteristic, complemented
4#72244372C211yesmaximal, characteristic, complemented
5#72244368C211yesmaximal, characteristic, complemented
6#72244366C211yesmaximal, characteristic, complemented
7#72244363C211yesmaximal, characteristic, complemented
83−1+2×AGL(1,ℤ/16)C211yesmaximal, characteristic, complemented
9AGL(1,ℤ/9)×#361C211yesmaximal, characteristic, complemented
10AGL(1,ℤ/9)×#360C211yesmaximal, characteristic, complemented
11AGL(1,ℤ/9)×#509C211yesmaximal, characteristic
12AGL(1,ℤ/9)×#365C211yesmaximal, characteristic, complemented
13AGL(1,ℤ/9)×#444C211yesmaximal, characteristic, complemented
14AGL(1,ℤ/9)×#347C211yesmaximal, characteristic, complemented
15D9×AGL(1,ℤ/16)C311yesmaximal, characteristic, complemented
16AGL(1,ℤ/9)×#442C211yesmaximal, characteristic, complemented
17C3×D3×AGL(1,ℤ/16)—31nomaximal
18#135×AGL(1,ℤ/9)C2211yescharacteristic
19C2×D8×AGL(1,ℤ/9)C2211yescharacteristic
20#131×AGL(1,ℤ/9)—21no—
21C4×D4×AGL(1,ℤ/9)—21no—
223−1+2×#509C2211yescharacteristic
233−1+2×#444C2211yescharacteristic, complemented
243−1+2×#442C2211yescharacteristic, complemented
25#10588877⋊C3C2211yescharacteristic, complemented
26#10588873⋊C3C2211yescharacteristic
27#10588832⋊C3C2211yescharacteristic, complemented
28#10588827⋊C3C2211yescharacteristic
29#10588825⋊C3—21no—
30#10588697⋊C3—21no—
31#10588594⋊C3C412yescomplemented
32SD32×AGL(1,ℤ/9)C412yescomplemented
33#10588591⋊C3C412yescomplemented
34D16×AGL(1,ℤ/9)C412yescomplemented
35#10588588⋊C3C2211yescharacteristic
36M32×AGL(1,ℤ/9)C2211yescharacteristic
37M32×AGL(1,ℤ/9)C2211yescharacteristic
38#10588574⋊C3C2211yescharacteristic, complemented
39#108×AGL(1,ℤ/9)C2211yescharacteristic
40#10588549⋊C3C2211yescharacteristic, complemented
41#106×AGL(1,ℤ/9)C2211yescharacteristic
42#10588503⋊C3—21no—
43#104×AGL(1,ℤ/9)—21no—
44#10588465⋊C3—21no—
45#102×AGL(1,ℤ/9)—21no—
46#10588397⋊C3C2211yescharacteristic, complemented
47#10588392⋊C3C2211yescharacteristic, complemented
48#97×AGL(1,ℤ/9)C2211yescharacteristic
493−1+2×#365C2211yescharacteristic, complemented
503−1+2×#361C2211yescharacteristic, complemented
513−1+2×#360C2211yescharacteristic, complemented
523−1+2×#347C2211yescharacteristic, complemented
53#10588243⋊C3C2211yescharacteristic, complemented
54#10588240⋊C3C2211yescharacteristic, complemented
55#10588194⋊C3C2211yescharacteristic, complemented
56#10588193⋊C3C2211yescharacteristic, complemented
57#10588190⋊C3C2211yescharacteristic, complemented
58#10588189⋊C3C2211yescharacteristic, complemented
59#10588189⋊C3C2211yescharacteristic, complemented
60#10588172⋊C3C2211yescharacteristic, complemented
61#10588171⋊C3C2211yescharacteristic, complemented
62#10588165⋊C3C2211yescharacteristic, complemented
63#10588164⋊C3C2211yescharacteristic, complemented
64#10588143⋊C3C2211yescharacteristic, complemented
65C3×D3×#509—31no—
66D9×#509C2×C311yescharacteristic
67C3×D3×#444—31no—
68D9×#444C2×C311yescharacteristic, complemented
69C3×D3×#442—31no—
70D9×#442C2×C311yescharacteristic, complemented
71C3×#69254—31no—
72#11797961C2×C311yescharacteristic, complemented
73C3×#69091—31no—
74#11797958C2×C311yescharacteristic, complemented
75C3×#71515—31no—
76#11797955C2×C311yescharacteristic, complemented
77C3×#70929—31no—
78#11797952C2×C311yescharacteristic, complemented
79C3×#69310—31no—
80#11797949C2×C311yescharacteristic, complemented
81C3×#70918—31no—
82#11797946C2×C311yescharacteristic, complemented
83C3×#69249—31no—
84#11797943C2×C311yescharacteristic, complemented
85C3×D3×#365—31no—
86D9×#365C2×C311yescharacteristic, complemented
87C3×D3×#361—31no—
88D9×#361C2×C311yescharacteristic, complemented
89C3×D3×#360—31no—
90D9×#360C2×C311yescharacteristic, complemented
91C3×D3×#347—31no—
92D9×#347C2×C311yescharacteristic, complemented
93C32×AGL(1,ℤ/16)D311yescharacteristic
94C9×AGL(1,ℤ/16)—21no—
95C9×AGL(1,ℤ/16)C2×C311yescharacteristic, complemented
96#41×AGL(1,ℤ/9)—21no—
97C2×D4×AGL(1,ℤ/9)—21no—
98C22×C4×AGL(1,ℤ/9)—41no—
993−1+2×#135C2311yescharacteristic
100C2×D8×3−1+2C2311yescharacteristic
1013−1+2×#131—21no—
102C4×D4×3−1+2—21no—
103#63513⋊C3—21no—
104#11721693—21no—
105D4×3−1+2⋊C4—21no—
106C2×#3673⋊C3—21no—
107C4×#611⋊C3—41no—
108#63481⋊C3C2×C411yescharacteristic, complemented
109Q16×AGL(1,ℤ/9)C2×C411yescharacteristic, complemented
110#63478⋊C3—21no—
111SD16×AGL(1,ℤ/9)—21no—
112#63474⋊C3C2×C411yescharacteristic, complemented
113D8×AGL(1,ℤ/9)—21no—
114D8×AGL(1,ℤ/9)—21no—
115D8×AGL(1,ℤ/9)C2×C412yes—
116D8×AGL(1,ℤ/9)C2×C412yes—
117D8×AGL(1,ℤ/9)C2×C411yescharacteristic, complemented
118#63469⋊C3—21no—
119#63469⋊C3—41no—
120M16×AGL(1,ℤ/9)—21no—
121M16×AGL(1,ℤ/9)—41no—
122#63467⋊C3C2311yescharacteristic
123C2×D72⋊C3C2311yescharacteristic
124#63464⋊C3—21no—
125#63464⋊C3—41no—
126C2×C8×AGL(1,ℤ/9)—41no—
127C2×C8×AGL(1,ℤ/9)D411yescharacteristic
128C2×C8×AGL(1,ℤ/9)C2311yescharacteristic
129#63455⋊C3—21no—
130C4⋊C4×AGL(1,ℤ/9)—21no—
131(#611⋊C3)⋊C4—41no—
132C22⋊C4×AGL(1,ℤ/9)—41no—
133C4×C4⋊AGL(1,ℤ/9)—21no—
134C42×AGL(1,ℤ/9)D411yescharacteristic
1353−1+2×SD32C2×C412yescomplemented
1363−1+2×D16C2×C412yescomplemented
1373−1+2×M32C2311yescharacteristic
1383−1+2×M32C2311yescharacteristic
1393−1+2×#108C2311yescharacteristic
1403−1+2×#106C2311yescharacteristic
1413−1+2×#104—21no—
1423−1+2×#102—21no—
1433−1+2×#97C2311yescharacteristic
144#63396⋊C3—21no—
145#63392⋊C3—21no—
146#63387⋊C3C2×C412yescomplemented
147#63386⋊C3C2×C412yescomplemented
148#63385⋊C3C2×C412yescomplemented
149#63385⋊C3C2×C412yescomplemented
150#63384⋊C3—21no—
151#63381⋊C3—21no—
152#63380⋊C3—21no—
153#63377⋊C3C2311yescharacteristic
154#63375⋊C3D411yescharacteristic
155#63375⋊C3C2311yescharacteristic
156#63372⋊C3C2311yescharacteristic
157#63371⋊C3C2311yescharacteristic
158#63371⋊C3C2311yescharacteristic
159#63369⋊C3—21no—
160#63367⋊C3—21no—
161#63364⋊C3—21no—
162#63362⋊C3D411yescharacteristic
163#63359⋊C3C2×C412yescomplemented
164D144⋊C3C2×C412yescomplemented
165#63357⋊C3—21no—
166#63357⋊C3C2×C412yescomplemented
167C16×AGL(1,ℤ/9)—21no—
168C16×AGL(1,ℤ/9)C2×C412yescomplemented
169D3×AGL(1,ℤ/16)—31no—
170C2×C3×AGL(1,ℤ/16)—91no—
171C3×D3×#135—31no—
172C2×C3×D3×D8—31no—
173C3×D3×#131—61no—
174C3×C4×D3×D4—61no—
175C32×#509C2×D311yescharacteristic
176C32×#444C2×D311yescharacteristic
177C32×#442C2×D311yescharacteristic
178C3×#5197—31no—
179C3×#5193—31no—
180C3×#5152—31no—
181C3×#5147—31no—
182C3×#5145—61no—
183C3×#5014—61no—
184C3×#4914—32no—
185C3×D3×SD32—32no—
186C3×#4911—32no—
187C3×D3×D16—32no—
188C3×#4908—31no—
189C3×D3×M32—31no—
190C3×D3×M32—31no—
191C3×#4894—31no—
192C3×D3×#108—31no—
193C3×#4869—31no—
194C3×D3×#106—31no—
195C3×#4823—61no—
196C3×D3×#104—61no—
197C3×#4785—61no—
198C3×D3×#102—61no—
199C3×#4717—31no—
200C3×#4711—31no—
201C3×D3×#97—31no—
202D9×#135C22×C311yescharacteristic
203C2×D8×D9C22×C311yescharacteristic
204D9×#131—21no—
205C4×D4×D9—21no—
206C32×#365C2×D311yescharacteristic
207C32×#361C2×D311yescharacteristic
208C32×#360C2×D311yescharacteristic
209C32×#347C2×D311yescharacteristic
210C3×#4566—31no—
211C3×#4563—31no—
212C3×#4518—31no—
213C3×#4516—31no—
214C3×#4513—31no—
215C3×#4512—31no—
216C3×#4512—31no—
217C3×#4495—31no—
218C3×#4494—31no—
219C3×#4488—31no—
220C3×#4487—31no—
221C3×#4466—31no—
222C9×#509—21no—
223C9×#509C22×C311yescharacteristic
224C9×#444—21no—
225C9×#444C22×C311yescharacteristic, complemented
226C9×#442—21no—
227C9×#442C22×C311yescharacteristic, complemented
228#10588877C22×C311yescharacteristic, complemented
229#10588873C22×C311yescharacteristic
230#10588832C22×C311yescharacteristic, complemented
231#10588827C22×C311yescharacteristic
232#10588825—21no—
233#10588697—21no—
234#10588594C3×C412yescomplemented
235D9×SD32C3×C412yescomplemented
236#10588591C3×C412yescomplemented
237D9×D16C3×C412yescomplemented
238#10588588C22×C311yescharacteristic
239D9×M32C22×C311yescharacteristic
240D9×M32C22×C311yescharacteristic
241#10588574C22×C311yescharacteristic, complemented
242D9×#108C22×C311yescharacteristic
243#10588549C22×C311yescharacteristic, complemented
244D9×#106C22×C311yescharacteristic
245#10588503—21no—
246D9×#104—21no—
247#10588465—21no—
248D9×#102—21no—
249#10588397C22×C311yescharacteristic, complemented
250#10588392C22×C311yescharacteristic, complemented
251D9×#97C22×C311yescharacteristic
252C9×#365—21no—
253C9×#365C22×C311yescharacteristic, complemented
254C9×#361—21no—
255C9×#361C22×C311yescharacteristic, complemented
256C9×#360—21no—
257C9×#360C22×C311yescharacteristic, complemented
258C9×#347—21no—
259C9×#347C22×C311yescharacteristic, complemented
260#10588243C22×C311yescharacteristic, complemented
261#10588240C22×C311yescharacteristic, complemented
262#10588194C22×C311yescharacteristic, complemented
263#10588193C22×C311yescharacteristic, complemented
264#10588190C22×C311yescharacteristic, complemented
265#10588189C22×C311yescharacteristic, complemented
266#10588189C22×C311yescharacteristic, complemented
267#10588172C22×C311yescharacteristic, complemented
268#10588171C22×C311yescharacteristic, complemented
269#10588165C22×C311yescharacteristic, complemented
270#10588164C22×C311yescharacteristic, complemented
271#10588143C22×C311yescharacteristic, complemented
272C23×AGL(1,ℤ/9)—41no—
273#41×3−1+2—21no—
274C2×D4×3−1+2—21no—
275C22×C4×3−1+2—41no—
276C2×#611⋊C3—41no—
277C22×3−1+2⋊C4—41no—
278#88724—21no—
279Q8×AGL(1,ℤ/9)—21no—
280#3699⋊C3—21no—
281#3699⋊C3—41no—
282D4×AGL(1,ℤ/9)—22no—
283D4×AGL(1,ℤ/9)—22no—
284D4×AGL(1,ℤ/9)—21no—
285D4×AGL(1,ℤ/9)—41no—
286D4×AGL(1,ℤ/9)—41no—
287D4×AGL(1,ℤ/9)—41no—
288#3697⋊C3—21no—
289#3697⋊C3—41no—
290C2×C4⋊AGL(1,ℤ/9)—21no—
291C2×C4×AGL(1,ℤ/9)—21no—
292C2×C4×AGL(1,ℤ/9)—41no—
293C2×C4×AGL(1,ℤ/9)—41no—
294C2×C4×AGL(1,ℤ/9)—41no—
295C2×C4×AGL(1,ℤ/9)—41no—
296C2×C4×AGL(1,ℤ/9)—84no—
297C2×C4×AGL(1,ℤ/9)C2×D411yescharacteristic
298Q16×3−1+2C22×C411yescharacteristic, complemented
299SD16×3−1+2—21no—
300D8×3−1+2—21no—
301D8×3−1+2C22×C412yes—
302D8×3−1+2C22×C411yescharacteristic, complemented
303M16×3−1+2—21no—
304M16×3−1+2—41no—
305C2×C8×3−1+2—41no—
306C2×C8×3−1+2C2×D411yescharacteristic
307C2×C8×3−1+2C2411yescharacteristic
308C4⋊C4×3−1+2—21no—
309C22⋊C4×3−1+2—41no—
310C42×3−1+2C2×D411yescharacteristic
311#3676⋊C3—41no—
312#3675⋊C3—21no—
313#3674⋊C3—21no—
314#3673⋊C3—22no—
315#3673⋊C3—22no—
316#3673⋊C3—21no—
317#3672⋊C3—21no—
318(C2×AGL(1,ℤ/9))⋊C4—41no—
319(C2×AGL(1,ℤ/9))⋊C4—41no—
320C4⋊(3−1+2⋊C4)—21no—
321(3−1+2⋊C4)⋊C4—41no—
322C4×3−1+2⋊C4—21no—
323C4×3−1+2⋊C4C2×D411yescharacteristic
324#3667⋊C3—21no—
325#3667⋊C3—41no—
326C2×3−1+2⋊C8—41no—
327C2×3−1+2⋊C8C2×D411yescharacteristic
328C2×3−1+2⋊C8C2×D411yescharacteristic
329D72⋊C3—21no—
330D72⋊C3C22×C412yes—
331D72⋊C3C22×C411yescharacteristic, complemented
332#3664⋊C3—21no—
333#3663⋊C3—41no—
334#3663⋊C3—41no—
335#3663⋊C3—41no—
336C8×AGL(1,ℤ/9)—21no—
337C8×AGL(1,ℤ/9)—21no—
338C8×AGL(1,ℤ/9)—41no—
339C8×AGL(1,ℤ/9)—41no—
340C8×AGL(1,ℤ/9)—41no—
341C8×AGL(1,ℤ/9)C22×C411yescharacteristic
342C8×AGL(1,ℤ/9)C22×C411yescharacteristic
343C8×AGL(1,ℤ/9)#4111yescharacteristic
344C8×AGL(1,ℤ/9)#4111yescharacteristic
345Dic36⋊C3C22×C411yescharacteristic, complemented
346C16×3−1+2—21no—
347C16×3−1+2C22×C412yescomplemented
3483−1+2⋊C16—21no—
3493−1+2⋊C16C22×C412yescomplemented
350C2×C3×#509—91no—
351C2×C3×#444—91no—
352C2×C3×#442—91no—
353D3×#509—31no—
354D3×#444—31no—
355D3×#442—31no—
356C3×AGL(1,ℤ/16)—61no—
357C3×AGL(1,ℤ/16)—91no—
358C3×AGL(1,ℤ/16)—91no—
359C3×AGL(1,ℤ/16)—91no—
360C3×AGL(1,ℤ/16)—91no—
361C3×AGL(1,ℤ/16)—91no—
362C3×AGL(1,ℤ/16)—91no—
363C3×AGL(1,ℤ/16)—91no—
364C3×AGL(1,ℤ/16)C3×D311yescharacteristic
365C2×C3×#365—91no—
366C2×C3×#361—91no—
367C2×C3×#360—91no—
368C2×C3×#347—91no—
369#71515—31no—
370#70929—31no—
371#70918—31no—
372D3×#365—31no—
373#69310—31no—
374D3×#361—31no—
375#69254—31no—
376D3×#360—31no—
377#69249—31no—
378#69091—31no—
379D3×#347—31no—
380C3×D3×#41—61no—
381C2×C3×D3×D4—61no—
382C22×C3×C4×D3—121no—
383C32×#135C22×D311yescharacteristic
384C2×C32×D8C22×D311yescharacteristic
385C32×#131—21no—
386C32×C4×D4—21no—
387C3×#950—61no—
388C3×#948—61no—
389C3×D4×Dic3—61no—
390C2×C3×#213—61no—
391C3×C4×#67—121no—
392C3×#919—31no—
393C3×D3×Q16—31no—
394C3×#916—61no—
395C3×D3×SD16—61no—
396C3×#912—31no—
397C3×D3×D8—31no—
398C3×D3×D8—32no—
399C3×D3×D8—32no—
400C3×D3×D8—61no—
401C3×D3×D8—61no—
402C3×#907—61no—
403C3×#907—121no—
404C3×D3×M16—61no—
405C3×D3×M16—121no—
406C3×#904—31no—
407C2×C3×D24—31no—
408C3×#901—61no—
409C3×#901—121no—
410C2×C3×D3×C8—31no—
411C2×C3×D3×C8—31no—
412C2×C3×D3×C8—121no—
413C3×#893—61no—
414C3×D3×C4⋊C4—61no—
415C3×#67⋊C4—121no—
416C3×D3×C22⋊C4—121no—
417C3×C4×D12—61no—
418C3×C42×D3—31no—
419#41×D9—21no—
420C2×D4×D9—21no—
421C22×C4×D9—41no—
422C32×SD32C4×D312yes—
423C32×D16C4×D312yes—
424C32×M32C22×D311yescharacteristic
425C32×M32C22×D311yescharacteristic
426C32×#108C22×D311yescharacteristic
427C32×#106C22×D311yescharacteristic
428C32×#104—21no—
429C32×#102—21no—
430C32×#97C22×D311yescharacteristic
431C3×#837—61no—
432C3×#832—61no—
433C3×#828—32no—
434C3×#827—32no—
435C3×#826—32no—
436C3×#826—32no—
437C3×#825—61no—
438C3×#822—61no—
439C3×#821—61no—
440C3×#819—31no—
441C3×#817—31no—
442C3×#815—31no—
443C3×#815—31no—
444C3×#812—31no—
445C3×#812—31no—
446C3×#809—61no—
447C3×#808—61no—
448C3×#805—61no—
449C3×#803—31no—
450C3×#800—32no—
451C3×D48—32no—
452C3×#798—32no—
453C3×#798—61no—
454C3×D3×C16—32no—
455C3×D3×C16—61no—
456C9×#135—21no—
457C9×#135C23×C311yescharacteristic
458C2×C9×D8—21no—
459C2×C9×D8C23×C311yescharacteristic
460C9×#131—21no—
461C9×#131—41no—
462C4×D4×C9—21no—
463C4×D4×C9—41no—
464#63513—21no—
465#63510—21no—
466D4×Dic9—21no—
467C2×#3673—21no—
468C4×#611—41no—
469#63481C2×C3×C411yescharacteristic, complemented
470Q16×D9C2×C3×C411yescharacteristic, complemented
471#63478—21no—
472SD16×D9—21no—
473#63474C2×C3×C411yescharacteristic, complemented
474D8×D9—21no—
475D8×D9—21no—
476D8×D9C2×C3×C412yes—
477D8×D9C2×C3×C412yes—
478D8×D9C2×C3×C411yescharacteristic, complemented
479#63469—21no—
480#63469—41no—
481M16×D9—21no—
482M16×D9—41no—
483#63467C23×C311yescharacteristic
484C2×D72C23×C311yescharacteristic
485#63464—21no—
486#63464—41no—
487C2×C8×D9—41no—
488C2×C8×D9C3×D411yescharacteristic
489C2×C8×D9C23×C311yescharacteristic
490#63455—21no—
491C4⋊C4×D9—21no—
492#611⋊C4—41no—
493C22⋊C4×D9—41no—
494C4×D36—21no—
495C42×D9C3×D411yescharacteristic
496C9×SD32—22no—
497C9×SD32C2×C3×C412yescomplemented
498C9×D16—22no—
499C9×D16C2×C3×C412yescomplemented
500C9×M32—21no—
501C9×M32—21no—
502C9×M32C23×C311yescharacteristic
503C9×M32C23×C311yescharacteristic
504C9×#108—21no—
505C9×#108C23×C311yescharacteristic
506C9×#106—21no—
507C9×#106C23×C311yescharacteristic
508C9×#104—21no—
509C9×#104—41no—
510C9×#102—21no—
511C9×#102—41no—
512C9×#97—21no—
513C9×#97C23×C311yescharacteristic
514#63396—21no—
515#63392—21no—
516#63387C2×C3×C412yescomplemented
517#63386C2×C3×C412yescomplemented
518#63385C2×C3×C412yescomplemented
519#63385C2×C3×C412yescomplemented
520#63384—21no—
521#63381—21no—
522#63380—21no—
523#63377C23×C311yescharacteristic
524#63375C3×D411yescharacteristic
525#63375C23×C311yescharacteristic
526#63372C23×C311yescharacteristic
527#63371C23×C311yescharacteristic
528#63371C23×C311yescharacteristic
529#63369—21no—
530#63367—21no—
531#63364—21no—
532#63362C3×D411yescharacteristic
533#63359C2×C3×C412yescomplemented
534D144C2×C3×C412yescomplemented
535#63357—21no—
536#63357C2×C3×C412yescomplemented
537C16×D9—21no—
538C16×D9C2×C3×C412yescomplemented
539C2×AGL(1,ℤ/16)—91noSylow
540C23×3−1+2—41no—
541C22×AGL(1,ℤ/9)—41no—
542C22×AGL(1,ℤ/9)—42no—
543C22×AGL(1,ℤ/9)—42no—
544C22×AGL(1,ℤ/9)—41no—
545C22×AGL(1,ℤ/9)—82no—
546C22×AGL(1,ℤ/9)—82no—
547C22×AGL(1,ℤ/9)AGL(1,ℤ/8)11yescharacteristic
548Q8×3−1+2—21no—
549D4×3−1+2—22no—
550D4×3−1+2—21no—
551D4×3−1+2—41no—
552D4×3−1+2—41no—
553C2×C4×3−1+2—21no—
554C2×C4×3−1+2—41no—
555C2×C4×3−1+2—41no—
556C2×C4×3−1+2—82no—
557C2×C4×3−1+2C22×D411yescharacteristic
558#611⋊C3—41no—
559#611⋊C3—41no—
560#611⋊C3—41no—
561#611⋊C3—42no—
562#611⋊C3—42no—
563C2×3−1+2⋊C4—21no—
564C2×3−1+2⋊C4—41no—
565C2×3−1+2⋊C4—41no—
566C2×3−1+2⋊C4—82no—
567C2×3−1+2⋊C4AGL(1,ℤ/8)11yescharacteristic
568C4⋊AGL(1,ℤ/9)—22no—
569C4⋊AGL(1,ℤ/9)—21no—
570C4⋊AGL(1,ℤ/9)—41no—
571C4⋊AGL(1,ℤ/9)—41no—
572C4×AGL(1,ℤ/9)—42no—
573C4×AGL(1,ℤ/9)—41no—
574C4×AGL(1,ℤ/9)—41no—
575C4×AGL(1,ℤ/9)—41no—
576C4×AGL(1,ℤ/9)—82no—
577C4×AGL(1,ℤ/9)—82no—
578C4×AGL(1,ℤ/9)—82no—
579C4×AGL(1,ℤ/9)C4×D411yescharacteristic
580C4×AGL(1,ℤ/9)C4×D411yescharacteristic
581C4×AGL(1,ℤ/9)AGL(1,ℤ/8)11yescharacteristic
582C4×AGL(1,ℤ/9)AGL(1,ℤ/8)11yescharacteristic
5833−1+2⋊Q8—21no—
5843−1+2⋊Q8—41no—
585C8×3−1+2—21no—
586C8×3−1+2—41no—
587C8×3−1+2C23×C411yescharacteristic
588C8×3−1+2C2×#4111yescharacteristic
5893−1+2⋊C8—21no—
5903−1+2⋊C8—41no—
5913−1+2⋊C8C4×D411yescharacteristic
5923−1+2⋊C8C4×D411yescharacteristic
593C2×C3×#135—91no—
594C22×C3×D8—91no—
595C2×C3×#131—181no—
596C2×C3×C4×D4—181no—
597D3×#135—31no—
598C2×D3×D8—31no—
599D3×#131—61no—
600C4×D3×D4—61no—
601C3×#509—61no—
602C3×#509—91no—
603C3×#509—92no—
604C3×#509—92no—
605C3×#509—91no—
606C3×#509—91no—
607C3×#509C2×C3×D311yescharacteristic
608C2×C3×SD32—92no—
609C2×C3×D16—92no—
610C2×C3×M32—91no—
611C2×C3×M32—91no—
612C3×#444—61no—
613C3×#444—91no—
614C3×#444—91no—
615C3×#444—91no—
616C3×#444—181no—
617C3×#444—181no—
618C3×#444C2×C3×D311yescharacteristic
619C3×#442—61no—
620C3×#442—91no—
621C3×#442—91no—
622C3×#442—91no—
623C3×#442—181no—
624C3×#442—181no—
625C3×#442C2×C3×D311yescharacteristic
626C2×C3×#108—91no—
627C2×C3×#106—91no—
628C2×C3×#104—181no—
629C2×C3×#102—181no—
630C2×C3×#97—91no—
631#5197—31no—
632#5193—31no—
633#5152—31no—
634#5147—31no—
635#5145—61no—
636#5014—61no—
637#4914—32no—
638D3×SD32—32no—
639#4911—32no—
640D3×D16—32no—
641#4908—31no—
642D3×M32—31no—
643D3×M32—31no—
644#4894—31no—
645D3×#108—31no—
646#4869—31no—
647D3×#106—31no—
648#4823—61no—
649D3×#104—61no—
650#4785—61no—
651D3×#102—61no—
652#4717—31no—
653#4711—31no—
654D3×#97—31no—
655C3×#365—61no—
656C3×#365—91no—
657C3×#365—91no—
658C3×#365—91no—
659C3×#365C2×C3×D311yescharacteristic
660C3×#361—61no—
661C3×#361—91no—
662C3×#361—91no—
663C3×#361—91no—
664C3×#361C2×C3×D311yescharacteristic
665C3×#360—61no—
666C3×#360—91no—
667C3×#360—91no—
668C3×#360—91no—
669C3×#360C2×C3×D311yescharacteristic
670C3×#347—61no—
671C3×#347—91no—
672C3×#347—91no—
673C3×#347—91no—
674C3×#347C2×C3×D311yescharacteristic
675#4566—31no—
676#4563—31no—
677#4518—31no—
678#4516—31no—
679#4513—31no—
680#4512—31no—
681#4512—31no—
682#4495—31no—
683#4494—31no—
684#4488—31no—
685#4487—31no—
686#4466—31no—
687C23×C3×D3—121no—
688C32×#41—21no—
689C2×C32×D4—21no—
690C22×C32×C4—41no—
691C2×C3×#67—121no—
692C22×C3×Dic3—121no—
693C3×#239—61no—
694C3×D3×Q8—61no—
695C3×#237—61no—
696C3×#237—121no—
697C3×D3×D4—62no—
698C3×D3×D4—62no—
699C3×D3×D4—61no—
700C3×D3×D4—121no—
701C3×D3×D4—121no—
702C3×D3×D4—121no—
703C3×#235—61no—
704C3×#235—121no—
705C2×C3×D12—61no—
706C2×C3×C4×D3—31no—
707C2×C3×C4×D3—61no—
708C2×C3×C4×D3—121no—
709C2×C3×C4×D3—121no—
710C2×C3×C4×D3—121no—
711C2×C3×C4×D3—121no—
712C2×C3×C4×D3—244no—
713C23×D9—41no—
714C32×Q16C2×C4×D311yescharacteristic
715C32×SD16—21no—
716C32×D8—21no—
717C32×D8C2×C4×D312yes—
718C32×D8C2×C4×D311yescharacteristic
719C32×M16—21no—
720C32×M16—41no—
721C2×C32×C8—41no—
722C2×C32×C8D3×D411yescharacteristic
723C2×C32×C8C23×D311yescharacteristic
724C32×C4⋊C4—21no—
725C32×C22⋊C4—41no—
726C32×C42D3×D411yescharacteristic
727C3×#217—121no—
728C3×#216—61no—
729C3×#215—61no—
730C3×#214—61no—
731C3×#213—62no—
732C3×#213—62no—
733C3×#213—61no—
734C3×(C2×D3)⋊C4—121no—
735C3×(C2×D3)⋊C4—121no—
736C3×C4⋊Dic3—61no—
737C3×Dic3⋊C4—121no—
738C3×C4×Dic3—31no—
739C3×C4×Dic3—61no—
740C3×#208—61no—
741C3×#208—121no—
742C2×C3×C3⋊C8—31no—
743C2×C3×C3⋊C8—31no—
744C2×C3×C3⋊C8—121no—
745C3×Dic12—31no—
746C3×D24—32no—
747C3×D24—31no—
748C3×D24—61no—
749C3×#204—61no—
750C3×ΓL(1,𝔽25)—121no—
751C3×ΓL(1,𝔽25)—121no—
752C3×ΓL(1,𝔽25)—121no—
753C3×D3×C8—31no—
754C3×D3×C8—31no—
755C3×D3×C8—31no—
756C3×D3×C8—31no—
757C3×D3×C8—61no—
758C3×D3×C8—61no—
759C3×D3×C8—121no—
760C3×D3×C8—121no—
761C3×D3×C8—121no—
762C9×#41—21no—
763C9×#41—41no—
764C2×D4×C9—21no—
765C2×D4×C9—41no—
766C22×C4×C9—41no—
767C22×C4×C9—81no—
768C2×#611—41no—
769C22×Dic9—41no—
770#3701—21no—
771Q8×D9—21no—
772#3699—21no—
773#3699—41no—
774D4×D9—22no—
775D4×D9—22no—
776D4×D9—21no—
777D4×D9—41no—
778D4×D9—41no—
779D4×D9—41no—
780#3697—21no—
781#3697—41no—
782C2×D36—21no—
783C2×C4×D9—21no—
784C2×C4×D9—41no—
785C2×C4×D9—41no—
786C2×C4×D9—41no—
787C2×C4×D9—41no—
788C2×C4×D9—84no—
789C2×C4×D9C2×C3×D411yescharacteristic
790C32×C16—21no—
791C32×C16C2×C4×D312yes—
792C3×C3⋊C16—32no—
793C3×C3⋊C16—61no—
794C9×Q16—21no—
795C9×Q16C22×C3×C411yescharacteristic, complemented
796C9×SD16—21no—
797C9×SD16—41no—
798C9×D8—22no—
799C9×D8—21no—
800C9×D8—21no—
801C9×D8—41no—
802C9×D8C22×C3×C412yes—
803C9×D8C22×C3×C411yescharacteristic, complemented
804C9×M16—21no—
805C9×M16—41no—
806C9×M16—41no—
807C9×M16—81no—
808C2×C8×C9—21no—
809C2×C8×C9—21no—
810C2×C8×C9—41no—
811C2×C8×C9—81no—
812C2×C8×C9C2×C3×D411yescharacteristic
813C2×C8×C9C24×C311yescharacteristic
814C9×C4⋊C4—21no—
815C9×C4⋊C4—41no—
816C9×C22⋊C4—41no—
817C9×C22⋊C4—81no—
818C42×C9—21no—
819C42×C9C2×C3×D411yescharacteristic
820#3676—41no—
821#3675—21no—
822#3674—21no—
823#3673—22no—
824#3673—22no—
825#3673—21no—
826#3672—21no—
827(C2×D9)⋊C4—41no—
828(C2×D9)⋊C4—41no—
829C4⋊Dic9—21no—
830Dic9⋊C4—41no—
831C4×Dic9—21no—
832C4×Dic9C2×C3×D411yescharacteristic
833#3667—21no—
834#3667—41no—
835C2×C9⋊C8—41no—
836C2×C9⋊C8C2×C3×D411yescharacteristic
837C2×C9⋊C8C2×C3×D411yescharacteristic
838D72—21no—
839D72C22×C3×C412yes—
840D72C22×C3×C411yescharacteristic, complemented
841#3664—21no—
842#3663—41no—
843#3663—41no—
844#3663—41no—
845C8×D9—21no—
846C8×D9—21no—
847C8×D9—41no—
848C8×D9—41no—
849C8×D9—41no—
850C8×D9C22×C3×C411yescharacteristic
851C8×D9C22×C3×C411yescharacteristic
852C8×D9C3×#4111yescharacteristic
853C8×D9C3×#4111yescharacteristic
854Dic36C22×C3×C411yescharacteristic, complemented
855C9×C16—22no—
856C9×C16—21no—
857C9×C16—41no—
858C9×C16C22×C3×C412yescomplemented
859C9⋊C16—21no—
860C9⋊C16C22×C3×C412yescomplemented
861C2×#509—91no—
862C2×#444—91no—
863C2×#442—91no—
864AGL(1,ℤ/16)—91no—
865AGL(1,ℤ/16)—91no—
866AGL(1,ℤ/16)—91no—
867AGL(1,ℤ/16)—91no—
868AGL(1,ℤ/16)—91no—
869AGL(1,ℤ/16)—91no—
870AGL(1,ℤ/16)—91no—
871AGL(1,ℤ/16)AGL(1,ℤ/9)11yescharacteristic, direct product factor
872C2×#365—91no—
873C2×#361—91no—
874C2×#360—91no—
875C2×#347—91no—
876C22×3−1+2—41no—
877C22×3−1+2—42no—
878C22×3−1+2—81no—
879C22×3−1+2—81no—
880C22×3−1+2C2×AGL(1,ℤ/8)11yescharacteristic
881C2×AGL(1,ℤ/9)—22no—
882C2×AGL(1,ℤ/9)—41no—
883C2×AGL(1,ℤ/9)—42no—
884C2×AGL(1,ℤ/9)—84no—
885C2×AGL(1,ℤ/9)—81no—
886C2×AGL(1,ℤ/9)—81no—
887C2×AGL(1,ℤ/9)—82no—
888C2×AGL(1,ℤ/9)—84no—
889C2×AGL(1,ℤ/9)#44211yescharacteristic
890C2×AGL(1,ℤ/9)#44211yescharacteristic
891C4×3−1+2—41no—
892C4×3−1+2—41no—
893C4×3−1+2—81no—
894C4×3−1+2C2×C4×D411yescharacteristic
895C4×3−1+2C2×AGL(1,ℤ/8)11yescharacteristic
8963−1+2⋊C4—41no—
8973−1+2⋊C4—41no—
8983−1+2⋊C4—81no—
8993−1+2⋊C4#44211yescharacteristic
9003−1+2⋊C4#44211yescharacteristic
901C2×C3×#41—181no—
902C22×C3×D4—181no—
903C23×C3×C4—361no—
904D3×#41—61no—
905C2×D3×D4—61no—
906C22×C4×D3—121no—
907C3×#135—61no—
908C3×#135—91no—
909C3×#135—91no—
910C3×#135—91no—
911C3×#135—181no—
912C3×#135—181no—
913C3×#135C22×C3×D311yescharacteristic
914C2×C3×Q16—91no—
915C2×C3×SD16—181no—
916C2×C3×D8—61no—
917C2×C3×D8—91no—
918C2×C3×D8—91no—
919C2×C3×D8—92no—
920C2×C3×D8—92no—
921C2×C3×D8—181no—
922C2×C3×D8—181no—
923C2×C3×D8—181no—
924C2×C3×D8C22×C3×D311yescharacteristic
925C3×#131—21no—
926C3×#131—121no—
927C3×#131—181no—
928C3×#131—181no—
929C3×#131—181no—
930C3×#131—361no—
931C3×#131—361no—
932C2×C3×M16—181no—
933C2×C3×M16—361no—
934C22×C3×C8—91no—
935C22×C3×C8—91no—
936C22×C3×C8—361no—
937C3×C4×D4—21no—
938C3×C4×D4—121no—
939C3×C4×D4—181no—
940C3×C4×D4—181no—
941C3×C4×D4—181no—
942C3×C4×D4—361no—
943C3×C4×D4—361no—
944C2×C3×C4⋊C4—181no—
945C2×C3×C22⋊C4—361no—
946C2×C3×C42—91no—
947#950—61no—
948#948—61no—
949D4×Dic3—61no—
950C2×#213—61no—
951C4×#67—121no—
952#919—31no—
953D3×Q16—31no—
954#916—61no—
955D3×SD16—61no—
956#912—31no—
957D3×D8—31no—
958D3×D8—32no—
959D3×D8—32no—
960D3×D8—61no—
961D3×D8—61no—
962#907—61no—
963#907—121no—
964D3×M16—61no—
965D3×M16—121no—
966#904—31no—
967C2×D24—31no—
968#901—61no—
969#901—121no—
970C2×D3×C8—31no—
971C2×D3×C8—31no—
972C2×D3×C8—121no—
973#893—61no—
974D3×C4⋊C4—61no—
975#67⋊C4—121no—
976D3×C22⋊C4—121no—
977C4×D12—61no—
978C42×D3—31no—
979C3×SD32—62no—
980C3×SD32—92no—
981C3×SD32—92no—
982C3×SD32—92no—
983C3×SD32C3×C4×D312yes—
984C3×D16—62no—
985C3×D16—92no—
986C3×D16—92no—
987C3×D16—92no—
988C3×D16C3×C4×D312yes—
989C3×M32—61no—
990C3×M32—61no—
991C3×M32—92no—
992C3×M32—91no—
993C3×M32—91no—
994C3×M32—181no—
995C3×M32C22×C3×D311yescharacteristic
996C3×M32C22×C3×D311yescharacteristic
997C2×C3×C16—92no—
998C2×C3×C16—181no—
999C3×#108—61no—
1000C3×#108—91no—
1001C3×#108—181no—
1002C3×#108C22×C3×D311yescharacteristic
1003C3×#106—61no—
1004C3×#106—91no—
1005C3×#106—181no—
1006C3×#106C22×C3×D311yescharacteristic
1007C3×#104—21no—
1008C3×#104—121no—
1009C3×#104—181no—
1010C3×#104—181no—
1011C3×#104—181no—
1012C3×#102—21no—
1013C3×#102—121no—
1014C3×#102—181no—
1015C3×#102—181no—
1016C3×#102—181no—
1017C3×#97—61no—
1018C3×#97—91no—
1019C3×#97—91no—
1020C3×#97—91no—
1021C3×#97C22×C3×D311yescharacteristic
1022#837—61no—
1023#832—61no—
1024#828—32no—
1025#827—32no—
1026#826—32no—
1027#826—32no—
1028#825—61no—
1029#822—61no—
1030#821—61no—
1031#819—31no—
1032#817—31no—
1033#815—31no—
1034#815—31no—
1035#812—31no—
1036#812—31no—
1037#809—61no—
1038#808—61no—
1039#805—61no—
1040#803—31no—
1041#800—32no—
1042D48—32no—
1043#798—32no—
1044#798—61no—
1045D3×C16—32no—
1046D3×C16—61no—
1047C23×C32—41no—
1048C22×C3×D3—31no—
1049C22×C3×D3—122no—
1050C22×C3×D3—122no—
1051C22×C3×D3—121no—
1052C22×C3×D3—121no—
1053C22×C3×D3—242no—
1054C22×C3×D3—242no—
1055C32×Q8—21no—
1056C32×D4—22no—
1057C32×D4—21no—
1058C32×D4—41no—
1059C32×D4—41no—
1060C2×C32×C4—21no—
1061C2×C32×C4—41no—
1062C2×C32×C4—41no—
1063C2×C32×C4—82no—
1064C2×C32×C4C2×D3×D411yescharacteristic
1065C3×#67—121no—
1066C3×#67—122no—
1067C3×#67—122no—
1068C3×#67—121no—
1069C3×#67—121no—
1070C2×C3×Dic3—31no—
1071C2×C3×Dic3—61no—
1072C2×C3×Dic3—121no—
1073C2×C3×Dic3—121no—
1074C2×C3×Dic3—242no—
1075C3×D12—61no—
1076C3×D12—62no—
1077C3×D12—121no—
1078C3×D12—121no—
1079C3×C4×D3—31no—
1080C3×C4×D3—31no—
1081C3×C4×D3—31no—
1082C3×C4×D3—31no—
1083C3×C4×D3—121no—
1084C3×C4×D3—121no—
1085C3×C4×D3—122no—
1086C3×C4×D3—121no—
1087C3×C4×D3—242no—
1088C3×C4×D3—242no—
1089C3×C4×D3—242no—
1090C3×Dic6—61no—
1091C3×Dic6—121no—
1092C23×C9—41no—
1093C23×C9—81no—
1094C22×D9—41no—
1095C22×D9—41no—
1096C22×D9—42no—
1097C22×D9—42no—
1098C22×D9—82no—
1099C22×D9—82no—
1100C22×D9C3×AGL(1,ℤ/8)11yescharacteristic
1101C32×C8—21no—
1102C32×C8—41no—
1103C32×C8C22×C4×D311yescharacteristic
1104C32×C8D3×#4111yescharacteristic
1105C3×C3⋊C8—31no—
1106C3×C3⋊C8—31no—
1107C3×C3⋊C8—61no—
1108C3×C3⋊C8—121no—
1109Q8×C9—21no—
1110Q8×C9—41no—
1111D4×C9—21no—
1112D4×C9—22no—
1113D4×C9—42no—
1114D4×C9—41no—
1115D4×C9—41no—
1116D4×C9—41no—
1117D4×C9—81no—
1118D4×C9—81no—
1119C2×C4×C9—21no—
1120C2×C4×C9—21no—
1121C2×C4×C9—41no—
1122C2×C4×C9—41no—
1123C2×C4×C9—41no—
1124C2×C4×C9—81no—
1125C2×C4×C9—81no—
1126C2×C4×C9—82no—
1127C2×C4×C9—162no—
1128C2×C4×C9C22×C3×D411yescharacteristic
1129#611—41no—
1130#611—41no—
1131#611—41no—
1132#611—42no—
1133#611—42no—
1134C2×Dic9—21no—
1135C2×Dic9—41no—
1136C2×Dic9—41no—
1137C2×Dic9—82no—
1138C2×Dic9C3×AGL(1,ℤ/8)11yescharacteristic
1139D36—21no—
1140D36—22no—
1141D36—41no—
1142D36—41no—
1143C4×D9—42no—
1144C4×D9—41no—
1145C4×D9—41no—
1146C4×D9—41no—
1147C4×D9—82no—
1148C4×D9—82no—
1149C4×D9—82no—
1150C4×D9C3×C4×D411yescharacteristic
1151C4×D9C3×C4×D411yescharacteristic
1152C4×D9C3×AGL(1,ℤ/8)11yescharacteristic
1153C4×D9C3×AGL(1,ℤ/8)11yescharacteristic
1154Dic18—21no—
1155Dic18—41no—
1156C8×C9—21no—
1157C8×C9—21no—
1158C8×C9—21no—
1159C8×C9—41no—
1160C8×C9—41no—
1161C8×C9—81no—
1162C8×C9C23×C3×C411yescharacteristic
1163C8×C9C2×C3×#4111yescharacteristic
1164C9⋊C8—21no—
1165C9⋊C8—41no—
1166C9⋊C8C3×C4×D411yescharacteristic
1167C9⋊C8C3×C4×D411yescharacteristic
1168C2×#135—91no—
1169C22×D8—91no—
1170C2×#131—181no—
1171C2×C4×D4—181no—
1172#509—91no—
1173#509—91no—
1174#509—92no—
1175#509—92no—
1176#509—91no—
1177#509C2×AGL(1,ℤ/9)11yescharacteristic
1178C2×SD32—92no—
1179C2×D16—92no—
1180C2×M32—91no—
1181C2×M32—91no—
1182#444—91no—
1183#444—91no—
1184#444—91no—
1185#444—181no—
1186#444—181no—
1187#444C2×AGL(1,ℤ/9)11yescharacteristic, complemented
1188#442—91no—
1189#442—91no—
1190#442—91no—
1191#442—181no—
1192#442—181no—
1193#442C2×AGL(1,ℤ/9)11yescharacteristic, complemented
1194C2×#108—91no—
1195C2×#106—91no—
1196C2×#104—181no—
1197C2×#102—181no—
1198C2×#97—91no—
1199#365—91no—
1200#365—91no—
1201#365—91no—
1202#365C2×AGL(1,ℤ/9)11yescharacteristic, complemented
1203#361—91no—
1204#361—91no—
1205#361—91no—
1206#361C2×AGL(1,ℤ/9)11yescharacteristic, complemented
1207#360—91no—
1208#360—91no—
1209#360—91no—
1210#360C2×AGL(1,ℤ/9)11yescharacteristic, complemented
1211#347—91no—
1212#347—91no—
1213#347—91no—
1214#347C2×AGL(1,ℤ/9)11yescharacteristic, complemented
1215C2×3−1+2—21no—
1216C2×3−1+2—82no—
1217C2×3−1+2—81no—
1218C2×3−1+2C2×#44211yescharacteristic
1219AGL(1,ℤ/9)—21no—
1220AGL(1,ℤ/9)—81no—
1221AGL(1,ℤ/9)—82no—
1222AGL(1,ℤ/9)AGL(1,ℤ/16)12yesdirect product factor
1223C24×C3—361no—
1224C23×D3—121no—
1225C3×#41—21no—
1226C3×#41—121no—
1227C3×#41—181no—
1228C3×#41—181no—
1229C3×#41—181no—
1230C3×#41—361no—
1231C3×#41—361no—
1232C2×C3×Q8—181no—
1233C2×C3×D4—21no—
1234C2×C3×D4—121no—
1235C2×C3×D4—181no—
1236C2×C3×D4—182no—
1237C2×C3×D4—182no—
1238C2×C3×D4—181no—
1239C2×C3×D4—361no—
1240C2×C3×D4—361no—
1241C2×C3×D4—361no—
1242C2×C3×D4—361no—
1243C22×C3×C4—41no—
1244C22×C3×C4—91no—
1245C22×C3×C4—181no—
1246C22×C3×C4—241no—
1247C22×C3×C4—361no—
1248C22×C3×C4—361no—
1249C22×C3×C4—361no—
1250C22×C3×C4—361no—
1251C22×C3×C4—361no—
1252C22×C3×C4—724no—
1253C2×#67—121no—
1254C22×Dic3—121no—
1255#239—61no—
1256D3×Q8—61no—
1257#237—61no—
1258#237—121no—
1259D3×D4—62no—
1260D3×D4—62no—
1261D3×D4—61no—
1262D3×D4—121no—
1263D3×D4—121no—
1264D3×D4—121no—
1265#235—61no—
1266#235—121no—
1267C2×D12—61no—
1268C2×C4×D3—31no—
1269C2×C4×D3—61no—
1270C2×C4×D3—121no—
1271C2×C4×D3—121no—
1272C2×C4×D3—121no—
1273C2×C4×D3—121no—
1274C2×C4×D3—244no—
1275C3×Q16—61no—
1276C3×Q16—91no—
1277C3×Q16—181no—
1278C3×Q16C2×C3×C4×D311yescharacteristic
1279C3×SD16—21no—
1280C3×SD16—121no—
1281C3×SD16—181no—
1282C3×SD16—181no—
1283C3×SD16—181no—
1284C3×D8—21no—
1285C3×D8—62no—
1286C3×D8—61no—
1287C3×D8—91no—
1288C3×D8—92no—
1289C3×D8—121no—
1290C3×D8—181no—
1291C3×D8—182no—
1292C3×D8—182no—
1293C3×D8—181no—
1294C3×D8C2×C3×C4×D312yes—
1295C3×D8C2×C3×C4×D311yescharacteristic
1296C3×M16—21no—
1297C3×M16—41no—
1298C3×M16—121no—
1299C3×M16—181no—
1300C3×M16—241no—
1301C3×M16—361no—
1302C3×M16—361no—
1303C3×M16—361no—
1304C3×M16—361no—
1305C2×C3×C8—41no—
1306C2×C3×C8—61no—
1307C2×C3×C8—61no—
1308C2×C3×C8—91no—
1309C2×C3×C8—91no—
1310C2×C3×C8—91no—
1311C2×C3×C8—91no—
1312C2×C3×C8—91no—
1313C2×C3×C8—91no—
1314C2×C3×C8—181no—
1315C2×C3×C8—181no—
1316C2×C3×C8—241no—
1317C2×C3×C8—361no—
1318C2×C3×C8—361no—
1319C2×C3×C8—361no—
1320C2×C3×C8—361no—
1321C2×C3×C8C3×D3×D411yescharacteristic
1322C2×C3×C8C23×C3×D311yescharacteristic
1323C3×C4⋊C4—21no—
1324C3×C4⋊C4—121no—
1325C3×C4⋊C4—181no—
1326C3×C4⋊C4—361no—
1327C3×C22⋊C4—41no—
1328C3×C22⋊C4—241no—
1329C3×C22⋊C4—361no—
1330C3×C22⋊C4—361no—
1331C3×C22⋊C4—361no—
1332C3×C42—61no—
1333C3×C42—91no—
1334C3×C42—181no—
1335C3×C42C3×D3×D411yescharacteristic
1336#217—121no—
1337#216—61no—
1338#215—61no—
1339#214—61no—
1340#213—62no—
1341#213—62no—
1342#213—61no—
1343(C2×D3)⋊C4—121no—
1344(C2×D3)⋊C4—121no—
1345C4⋊Dic3—61no—
1346Dic3⋊C4—121no—
1347C4×Dic3—31no—
1348C4×Dic3—61no—
1349#208—61no—
1350#208—121no—
1351C2×C3⋊C8—31no—
1352C2×C3⋊C8—31no—
1353C2×C3⋊C8—121no—
1354Dic12—31no—
1355D24—31no—
1356D24—32no—
1357D24—61no—
1358#204—61no—
1359ΓL(1,𝔽25)—121no—
1360ΓL(1,𝔽25)—121no—
1361ΓL(1,𝔽25)—121no—
1362D3×C8—31no—
1363D3×C8—31no—
1364D3×C8—31no—
1365D3×C8—31no—
1366D3×C8—61no—
1367D3×C8—61no—
1368D3×C8—121no—
1369D3×C8—121no—
1370D3×C8—121no—
1371C3×C16—21no—
1372C3×C16—62no—
1373C3×C16—92no—
1374C3×C16—121no—
1375C3×C16—181no—
1376C3×C16C2×C3×C4×D312yes—
1377C3⋊C16—32no—
1378C3⋊C16—61no—
1379C22×C32—41no—
1380C22×C32—42no—
1381C22×C32—81no—
1382C22×C32—81no—
1383C22×C32D3×AGL(1,ℤ/8)11yescharacteristic
1384C2×C3×D3—31no—
1385C2×C3×D3—31no—
1386C2×C3×D3—62no—
1387C2×C3×D3—121no—
1388C2×C3×D3—122no—
1389C2×C3×D3—242no—
1390C2×C3×D3—244no—
1391C2×C3×D3—244no—
1392C2×C3×D3—241no—
1393C2×C3×D3—241no—
1394C32×C4—41no—
1395C32×C4—41no—
1396C32×C4—81no—
1397C32×C4C4×D3×D411yescharacteristic
1398C32×C4D3×AGL(1,ℤ/8)11yescharacteristic
1399C3×Dic3—31no—
1400C3×Dic3—31no—
1401C3×Dic3—121no—
1402C3×Dic3—121no—
1403C3×Dic3—241no—
1404C22×C9—21no—
1405C22×C9—41no—
1406C22×C9—42no—
1407C22×C9—81no—
1408C22×C9—82no—
1409C22×C9—81no—
1410C22×C9—81no—
1411C22×C9—161no—
1412C22×C9—161no—
1413C22×C9C2×C3×AGL(1,ℤ/8)11yescharacteristic
1414C2×D9—22no—
1415C2×D9—41no—
1416C2×D9—42no—
1417C2×D9—84no—
1418C2×D9—81no—
1419C2×D9—81no—
1420C2×D9—82no—
1421C2×D9—84no—
1422C2×D9C3×#44211yescharacteristic
1423C2×D9C3×#44211yescharacteristic
1424C4×C9—21no—
1425C4×C9—21no—
1426C4×C9—41no—
1427C4×C9—41no—
1428C4×C9—81no—
1429C4×C9—81no—
1430C4×C9—81no—
1431C4×C9—161no—
1432C4×C9C2×C3×C4×D411yescharacteristic
1433C4×C9C2×C3×AGL(1,ℤ/8)11yescharacteristic
1434Dic9—41no—
1435Dic9—41no—
1436Dic9—81no—
1437Dic9C3×#44211yescharacteristic
1438Dic9C3×#44211yescharacteristic
1439C2×#41—181no—
1440C22×D4—181no—
1441C23×C4—361no—
1442#135—91no—
1443#135—91no—
1444#135—91no—
1445#135—181no—
1446#135—181no—
1447#135C22×AGL(1,ℤ/9)11yescharacteristic
1448C2×Q16—91no—
1449C2×SD16—181no—
1450C2×D8—92no—
1451C2×D8—92no—
1452C2×D8—91no—
1453C2×D8—91no—
1454C2×D8—181no—
1455C2×D8—181no—
1456C2×D8—181no—
1457C2×D8C22×AGL(1,ℤ/9)11yescharacteristic
1458#131—21no—
1459#131—181no—
1460#131—181no—
1461#131—181no—
1462#131—361no—
1463#131—361no—
1464C2×M16—181no—
1465C2×M16—361no—
1466C22×C8—91no—
1467C22×C8—91no—
1468C22×C8—361no—
1469C4×D4—21no—
1470C4×D4—181no—
1471C4×D4—181no—
1472C4×D4—181no—
1473C4×D4—361no—
1474C4×D4—361no—
1475C2×C4⋊C4—181no—
1476C2×C22⋊C4—361no—
1477C2×C42—91no—
1478SD32—92no—
1479SD32—92no—
1480SD32—92no—
1481SD32C4×AGL(1,ℤ/9)12yescomplemented
1482D16—92no—
1483D16—92no—
1484D16—92no—
1485D16C4×AGL(1,ℤ/9)12yescomplemented
1486M32—91no—
1487M32—92no—
1488M32—91no—
1489M32—181no—
1490M32C22×AGL(1,ℤ/9)11yescharacteristic
1491M32C22×AGL(1,ℤ/9)11yescharacteristic
1492C2×C16—92no—
1493C2×C16—181no—
1494#108—91no—
1495#108—181no—
1496#108C22×AGL(1,ℤ/9)11yescharacteristic
1497#106—91no—
1498#106—181no—
1499#106C22×AGL(1,ℤ/9)11yescharacteristic
1500#104—21no—
1501#104—181no—
1502#104—181no—
1503#104—181no—
1504#102—21no—
1505#102—181no—
1506#102—181no—
1507#102—181no—
1508#97—91no—
1509#97—91no—
1510#97—91no—
1511#97C22×AGL(1,ℤ/9)11yescharacteristic
15123−1+2C2×AGL(1,ℤ/16)11yescharacteristic, complemented, Sylow
1513C23×C3—41no—
1514C23×C3—91no—
1515C23×C3—241no—
1516C23×C3—361no—
1517C23×C3—361no—
1518C23×C3—362no—
1519C23×C3—362no—
1520C23×C3—722no—
1521C23×C3—722no—
1522C22×D3—31no—
1523C22×D3—121no—
1524C22×D3—122no—
1525C22×D3—122no—
1526C22×D3—121no—
1527C22×D3—242no—
1528C22×D3—242no—
1529C3×Q8—21no—
1530C3×Q8—121no—
1531C3×Q8—181no—
1532C3×Q8—361no—
1533C3×D4—22no—
1534C3×D4—21no—
1535C3×D4—41no—
1536C3×D4—41no—
1537C3×D4—122no—
1538C3×D4—121no—
1539C3×D4—182no—
1540C3×D4—181no—
1541C3×D4—241no—
1542C3×D4—241no—
1543C3×D4—361no—
1544C3×D4—362no—
1545C3×D4—362no—
1546C3×D4—361no—
1547C3×D4—361no—
1548C3×D4—361no—
1549C3×D4—361no—
1550C2×C3×C4—21no—
1551C2×C3×C4—41no—
1552C2×C3×C4—41no—
1553C2×C3×C4—61no—
1554C2×C3×C4—82no—
1555C2×C3×C4—91no—
1556C2×C3×C4—91no—
1557C2×C3×C4—91no—
1558C2×C3×C4—91no—
1559C2×C3×C4—91no—
1560C2×C3×C4—121no—
1561C2×C3×C4—181no—
1562C2×C3×C4—241no—
1563C2×C3×C4—241no—
1564C2×C3×C4—361no—
1565C2×C3×C4—361no—
1566C2×C3×C4—361no—
1567C2×C3×C4—361no—
1568C2×C3×C4—362no—
1569C2×C3×C4—361no—
1570C2×C3×C4—482no—
1571C2×C3×C4—722no—
1572C2×C3×C4—722no—
1573C2×C3×C4—722no—
1574C2×C3×C4—722no—
1575C2×C3×C4C2×C3×D3×D411yescharacteristic
1576#67—121no—
1577#67—122no—
1578#67—122no—
1579#67—121no—
1580#67—121no—
1581C2×Dic3—31no—
1582C2×Dic3—61no—
1583C2×Dic3—121no—
1584C2×Dic3—121no—
1585C2×Dic3—242no—
1586D12—61no—
1587D12—62no—
1588D12—121no—
1589D12—121no—
1590C4×D3—31no—
1591C4×D3—31no—
1592C4×D3—31no—
1593C4×D3—31no—
1594C4×D3—121no—
1595C4×D3—121no—
1596C4×D3—122no—
1597C4×D3—121no—
1598C4×D3—242no—
1599C4×D3—242no—
1600C4×D3—242no—
1601Dic6—61no—
1602Dic6—121no—
1603C3×C8—21no—
1604C3×C8—41no—
1605C3×C8—61no—
1606C3×C8—61no—
1607C3×C8—91no—
1608C3×C8—91no—
1609C3×C8—121no—
1610C3×C8—181no—
1611C3×C8—241no—
1612C3×C8—361no—
1613C3×C8C22×C3×C4×D311yescharacteristic
1614C3×C8C3×D3×#4111yescharacteristic
1615C3⋊C8—31no—
1616C3⋊C8—31no—
1617C3⋊C8—61no—
1618C3⋊C8—121no—
1619C2×C32—21no—
1620C2×C32—82no—
1621C2×C32—81no—
1622C2×C32D3×#44211yescharacteristic
1623C3×D3—32no—
1624C3×D3—61no—
1625C3×D3—241no—
1626C3×D3—242no—
1627C2×C9—21no—
1628C2×C9—21no—
1629C2×C9—41no—
1630C2×C9—82no—
1631C2×C9—81no—
1632C2×C9—161no—
1633C2×C9—162no—
1634C2×C9C2×C3×#44211yescharacteristic
1635D9—21no—
1636D9—81no—
1637D9—82no—
1638D9C3×AGL(1,ℤ/16)12yescomplemented
1639C24—361no—
1640#41—21no—
1641#41—181no—
1642#41—181no—
1643#41—181no—
1644#41—361no—
1645#41—361no—
1646C2×Q8—181no—
1647C2×D4—21no—
1648C2×D4—182no—
1649C2×D4—182no—
1650C2×D4—181no—
1651C2×D4—181no—
1652C2×D4—361no—
1653C2×D4—361no—
1654C2×D4—361no—
1655C2×D4—361no—
1656C22×C4—41no—
1657C22×C4—91no—
1658C22×C4—181no—
1659C22×C4—361no—
1660C22×C4—361no—
1661C22×C4—361no—
1662C22×C4—361no—
1663C22×C4—361no—
1664C22×C4—724no—
1665Q16—91no—
1666Q16—181no—
1667Q16C2×C4×AGL(1,ℤ/9)11yescharacteristic, complemented
1668SD16—21no—
1669SD16—181no—
1670SD16—181no—
1671SD16—181no—
1672D8—21no—
1673D8—91no—
1674D8—92no—
1675D8—182no—
1676D8—182no—
1677D8—181no—
1678D8—181no—
1679D8C2×C4×AGL(1,ℤ/9)12yes—
1680D8C2×C4×AGL(1,ℤ/9)11yescharacteristic, complemented
1681M16—21no—
1682M16—41no—
1683M16—181no—
1684M16—361no—
1685M16—361no—
1686M16—361no—
1687M16—361no—
1688C2×C8—41no—
1689C2×C8—91no—
1690C2×C8—91no—
1691C2×C8—91no—
1692C2×C8—91no—
1693C2×C8—91no—
1694C2×C8—91no—
1695C2×C8—181no—
1696C2×C8—181no—
1697C2×C8—361no—
1698C2×C8—361no—
1699C2×C8—361no—
1700C2×C8—361no—
1701C2×C8D4×AGL(1,ℤ/9)11yescharacteristic
1702C2×C8C23×AGL(1,ℤ/9)11yescharacteristic
1703C4⋊C4—21no—
1704C4⋊C4—181no—
1705C4⋊C4—361no—
1706C22⋊C4—41no—
1707C22⋊C4—361no—
1708C22⋊C4—361no—
1709C22⋊C4—361no—
1710C42—91no—
1711C42—181no—
1712C42D4×AGL(1,ℤ/9)11yescharacteristic
1713C16—21no—
1714C16—92no—
1715C16—181no—
1716C16C2×C4×AGL(1,ℤ/9)12yescomplemented
1717C22×C3—41no—
1718C22×C3—42no—
1719C22×C3—61no—
1720C22×C3—81no—
1721C22×C3—81no—
1722C22×C3—91no—
1723C22×C3—91no—
1724C22×C3—182no—
1725C22×C3—241no—
1726C22×C3—242no—
1727C22×C3—361no—
1728C22×C3—362no—
1729C22×C3—481no—
1730C22×C3—481no—
1731C22×C3—724no—
1732C22×C3—722no—
1733C22×C3—721no—
1734C22×C3—721no—
1735C22×C3—724no—
1736C22×C3C3×D3×AGL(1,ℤ/8)11yescharacteristic
1737C2×D3—31no—
1738C2×D3—31no—
1739C2×D3—62no—
1740C2×D3—121no—
1741C2×D3—122no—
1742C2×D3—244no—
1743C2×D3—242no—
1744C2×D3—244no—
1745C2×D3—241no—
1746C2×D3—241no—
1747C3×C4—41no—
1748C3×C4—41no—
1749C3×C4—61no—
1750C3×C4—61no—
1751C3×C4—81no—
1752C3×C4—91no—
1753C3×C4—91no—
1754C3×C4—241no—
1755C3×C4—241no—
1756C3×C4—361no—
1757C3×C4—361no—
1758C3×C4—481no—
1759C3×C4—721no—
1760C3×C4C3×C4×D3×D411yescharacteristic
1761C3×C4C3×D3×AGL(1,ℤ/8)11yescharacteristic
1762Dic3—31no—
1763Dic3—31no—
1764Dic3—121no—
1765Dic3—121no—
1766Dic3—241no—
1767C32D3×AGL(1,ℤ/16)11yescharacteristic
1768C9—21no—
1769C9C2×C3×AGL(1,ℤ/16)11yescharacteristic, complemented
1770C23—41no—
1771C23—91no—
1772C23—361no—
1773C23—362no—
1774C23—362no—
1775C23—361no—
1776C23—722no—
1777C23—722no—
1778Q8—21no—
1779Q8—181no—
1780Q8—361no—
1781D4—22no—
1782D4—21no—
1783D4—41no—
1784D4—41no—
1785D4—182no—
1786D4—181no—
1787D4—361no—
1788D4—362no—
1789D4—362no—
1790D4—361no—
1791D4—361no—
1792D4—361no—
1793D4—361no—
1794C2×C4—21no—
1795C2×C4—41no—
1796C2×C4—41no—
1797C2×C4—82no—
1798C2×C4—91no—
1799C2×C4—91no—
1800C2×C4—91no—
1801C2×C4—91no—
1802C2×C4—91no—
1803C2×C4—181no—
1804C2×C4—361no—
1805C2×C4—361no—
1806C2×C4—362no—
1807C2×C4—361no—
1808C2×C4—361no—
1809C2×C4—361no—
1810C2×C4—722no—
1811C2×C4—722no—
1812C2×C4—722no—
1813C2×C4—722no—
1814C2×C4C2×D4×AGL(1,ℤ/9)11yescharacteristic
1815C8—21no—
1816C8—41no—
1817C8—91no—
1818C8—91no—
1819C8—181no—
1820C8—361no—
1821C8C22×C4×AGL(1,ℤ/9)11yescharacteristic
1822C8#41×AGL(1,ℤ/9)11yescharacteristic
1823C2×C3—21no—
1824C2×C3—61no—
1825C2×C3—82no—
1826C2×C3—81no—
1827C2×C3—92no—
1828C2×C3—121no—
1829C2×C3—181no—
1830C2×C3—482no—
1831C2×C3—481no—
1832C2×C3—722no—
1833C2×C3—721no—
1834C2×C3C3×D3×#44211yescharacteristic
1835D3—32no—
1836D3—61no—
1837D3—242no—
1838D3—241no—
1839C22—41no—
1840C22—42no—
1841C22—81no—
1842C22—81no—
1843C22—91no—
1844C22—91no—
1845C22—182no—
1846C22—361no—
1847C22—362no—
1848C22—721no—
1849C22—721no—
1850C22—724no—
1851C22—722no—
1852C22—724no—
1853C22AGL(1,ℤ/8)×AGL(1,ℤ/9)11yescharacteristic
1854C4—41no—
1855C4—41no—
1856C4—81no—
1857C4—91no—
1858C4—91no—
1859C4—361no—
1860C4—361no—
1861C4—721no—
1862C4C4×D4×AGL(1,ℤ/9)11yescharacteristic
1863C4AGL(1,ℤ/8)×AGL(1,ℤ/9)11yescharacteristic
1864C3—61no—
1865C3C3×D3×AGL(1,ℤ/16)11yescharacteristic
1866C2—21no—
1867C2—82no—
1868C2—81no—
1869C2—92no—
1870C2—181no—
1871C2—722no—
1872C2—721no—
1873C2AGL(1,ℤ/9)×#44211yescharacteristic
subgroupG/H
centerC2AGL(1,ℤ/9)×#442
commutatorC8×C9C23×C3×C4
FrattiniC2×C3×C8C23×C3×D3
Fitting3−1+2×AGL(1,ℤ/16)C2
socleC2×C3C3×D3×#442
prime radicalAGL(1,ℤ/9)×#509C2
cosocleC2×C8×C9C24×C3
hypercenterAGL(1,ℤ/16)AGL(1,ℤ/9)
hypocenterC9C2×C3×AGL(1,ℤ/16)
LCSG ▷ C8×C9 ▷ C4×C9 ▷ C2×C9 ▷ C9
UCSC1 ◁ C2 ◁ C2×C4 ◁ #97 ◁ AGL(1,ℤ/16)

Complements

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

NH ≅ G/Ntype
1. #72244376C2semidirect
2. #72244375C2semidirect
3. #72244374C2semidirect
4. #72244372C2semidirect
5. #72244368C2semidirect
6. #72244366C2semidirect
7. #72244363C2semidirect
8. 3−1+2×AGL(1,ℤ/16)C2semidirect
9. AGL(1,ℤ/9)×#361C2semidirect
10. AGL(1,ℤ/9)×#360C2semidirect
12. AGL(1,ℤ/9)×#365C2semidirect
13. AGL(1,ℤ/9)×#444C2semidirect
14. AGL(1,ℤ/9)×#347C2semidirect
15. D9×AGL(1,ℤ/16)C3semidirect
16. AGL(1,ℤ/9)×#442C2semidirect
23. 3−1+2×#444C22semidirect
24. 3−1+2×#442C22semidirect
25. #10588877⋊C3C22semidirect
27. #10588832⋊C3C22semidirect
31. #10588594⋊C3C4semidirect
32. SD32×AGL(1,ℤ/9)C4semidirect
33. #10588591⋊C3C4semidirect
34. D16×AGL(1,ℤ/9)C4semidirect
38. #10588574⋊C3C22semidirect
40. #10588549⋊C3C22semidirect
46. #10588397⋊C3C22semidirect
47. #10588392⋊C3C22semidirect
49. 3−1+2×#365C22semidirect
50. 3−1+2×#361C22semidirect
51. 3−1+2×#360C22semidirect
52. 3−1+2×#347C22semidirect
53. #10588243⋊C3C22semidirect
54. #10588240⋊C3C22semidirect
55. #10588194⋊C3C22semidirect
56. #10588193⋊C3C22semidirect
57. #10588190⋊C3C22semidirect
58. #10588189⋊C3C22semidirect
59. #10588189⋊C3C22semidirect
60. #10588172⋊C3C22semidirect
61. #10588171⋊C3C22semidirect
62. #10588165⋊C3C22semidirect
63. #10588164⋊C3C22semidirect
64. #10588143⋊C3C22semidirect
68. D9×#444C2×C3semidirect
70. D9×#442C2×C3semidirect
72. #11797961C2×C3semidirect
74. #11797958C2×C3semidirect
76. #11797955C2×C3semidirect
78. #11797952C2×C3semidirect
80. #11797949C2×C3semidirect
82. #11797946C2×C3semidirect
84. #11797943C2×C3semidirect
86. D9×#365C2×C3semidirect
88. D9×#361C2×C3semidirect
90. D9×#360C2×C3semidirect
92. D9×#347C2×C3semidirect
95. C9×AGL(1,ℤ/16)C2×C3semidirect
108. #63481⋊C3C2×C4semidirect
109. Q16×AGL(1,ℤ/9)C2×C4semidirect
112. #63474⋊C3C2×C4semidirect
117. D8×AGL(1,ℤ/9)C2×C4semidirect
135. 3−1+2×SD32C2×C4semidirect
136. 3−1+2×D16C2×C4semidirect
146. #63387⋊C3C2×C4semidirect
147. #63386⋊C3C2×C4semidirect
148. #63385⋊C3C2×C4semidirect
149. #63385⋊C3C2×C4semidirect
163. #63359⋊C3C2×C4semidirect
164. D144⋊C3C2×C4semidirect
166. #63357⋊C3C2×C4semidirect
168. C16×AGL(1,ℤ/9)C2×C4semidirect
225. C9×#444C22×C3semidirect
227. C9×#442C22×C3semidirect
228. #10588877C22×C3semidirect
230. #10588832C22×C3semidirect
234. #10588594C3×C4semidirect
235. D9×SD32C3×C4semidirect
236. #10588591C3×C4semidirect
237. D9×D16C3×C4semidirect
241. #10588574C22×C3semidirect
243. #10588549C22×C3semidirect
249. #10588397C22×C3semidirect
250. #10588392C22×C3semidirect
253. C9×#365C22×C3semidirect
255. C9×#361C22×C3semidirect
257. C9×#360C22×C3semidirect
259. C9×#347C22×C3semidirect
260. #10588243C22×C3semidirect
261. #10588240C22×C3semidirect
262. #10588194C22×C3semidirect
263. #10588193C22×C3semidirect
264. #10588190C22×C3semidirect
265. #10588189C22×C3semidirect
266. #10588189C22×C3semidirect
267. #10588172C22×C3semidirect
268. #10588171C22×C3semidirect
269. #10588165C22×C3semidirect
270. #10588164C22×C3semidirect
271. #10588143C22×C3semidirect
298. Q16×3−1+2C22×C4semidirect
302. D8×3−1+2C22×C4semidirect
331. D72⋊C3C22×C4semidirect
345. Dic36⋊C3C22×C4semidirect
347. C16×3−1+2C22×C4semidirect
349. 3−1+2⋊C16C22×C4semidirect
469. #63481C2×C3×C4semidirect
470. Q16×D9C2×C3×C4semidirect
473. #63474C2×C3×C4semidirect
478. D8×D9C2×C3×C4semidirect
497. C9×SD32C2×C3×C4semidirect
499. C9×D16C2×C3×C4semidirect
516. #63387C2×C3×C4semidirect
517. #63386C2×C3×C4semidirect
518. #63385C2×C3×C4semidirect
519. #63385C2×C3×C4semidirect
533. #63359C2×C3×C4semidirect
534. D144C2×C3×C4semidirect
536. #63357C2×C3×C4semidirect
538. C16×D9C2×C3×C4semidirect
795. C9×Q16C22×C3×C4semidirect
803. C9×D8C22×C3×C4semidirect
840. D72C22×C3×C4semidirect
854. Dic36C22×C3×C4semidirect
858. C9×C16C22×C3×C4semidirect
860. C9⋊C16C22×C3×C4semidirect
871. AGL(1,ℤ/16)AGL(1,ℤ/9)direct (N × H)
1187. #444C2×AGL(1,ℤ/9)semidirect
1193. #442C2×AGL(1,ℤ/9)semidirect
1202. #365C2×AGL(1,ℤ/9)semidirect
1206. #361C2×AGL(1,ℤ/9)semidirect
1210. #360C2×AGL(1,ℤ/9)semidirect
1214. #347C2×AGL(1,ℤ/9)semidirect
1222. AGL(1,ℤ/9)AGL(1,ℤ/16)direct (N × H)
1481. SD32C4×AGL(1,ℤ/9)semidirect
1485. D16C4×AGL(1,ℤ/9)semidirect
1512. 3−1+2C2×AGL(1,ℤ/16)semidirect
1638. D9C3×AGL(1,ℤ/16)semidirect
1667. Q16C2×C4×AGL(1,ℤ/9)semidirect
1680. D8C2×C4×AGL(1,ℤ/9)semidirect
1716. C16C2×C4×AGL(1,ℤ/9)semidirect
1769. C9C2×C3×AGL(1,ℤ/16)semidirect

Maximal subgroups

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

subgroupindex
#722443762
#722443752
#722443742
#722443722
#722443682
#722443662
#722443632
3−1+2×AGL(1,ℤ/16)2
AGL(1,ℤ/9)×#3612
AGL(1,ℤ/9)×#3602
AGL(1,ℤ/9)×#5092
AGL(1,ℤ/9)×#3652
AGL(1,ℤ/9)×#4442
AGL(1,ℤ/9)×#3472
D9×AGL(1,ℤ/16)3
AGL(1,ℤ/9)×#4422
C3×D3×AGL(1,ℤ/16)3