Finite Group Databasebeta

← C89×#61627 #36439475

Subgroups — C89×#61627 #36439475

Order 22784.

2050 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C89×#3540C211yesmaximal, characteristic, complemented
2C89×#3489C211yesmaximal, characteristic, complemented
3C89×#3329C211yesmaximal, characteristic, complemented
4C89×#3328C211yesmaximal, characteristic, complemented
5C89×#3321C211yesmaximal, characteristic, complemented
6C89×#3319C211yesmaximal, characteristic, complemented
7C89×#3313C211yesmaximal, characteristic, complemented
8C89×#3311C211yesmaximal, characteristic, complemented
9C89×#3303C211yesmaximal, characteristic, complemented
10C89×#3302C211yesmaximal, characteristic, complemented
11C89×#3285C211yesmaximal, characteristic, complemented
12C89×#3282C211yesmaximal, characteristic, complemented
13C89×#3275C211yesmaximal, characteristic, complemented
14C89×#3273C211yesmaximal, characteristic, complemented
15C89×#3270C211yesmaximal, characteristic, complemented
16C89×#3269C211yesmaximal, characteristic, complemented
17C89×#3267C211yesmaximal, characteristic, complemented
18C89×#3266C211yesmaximal, characteristic, complemented
19C89×#3225C211yesmaximal, characteristic, complemented
20C89×#3225C211yesmaximal, characteristic, complemented
21C89×#3201C211yesmaximal, characteristic, complemented
22C89×#3198C211yesmaximal, characteristic, complemented
23C89×#3196C211yesmaximal, characteristic, complemented
24C89×#3190C211yesmaximal, characteristic, complemented
25C89×#3125C211yesmaximal, characteristic, complemented
26C89×#3124C211yesmaximal, characteristic, complemented
27C89×#3011C211yesmaximal, characteristic, complemented
28C89×#3010C211yesmaximal, characteristic, complemented
29C89×#3005C211yesmaximal, characteristic, complemented
30C89×#3002C211yesmaximal, characteristic, complemented
31C89×#2976C211yesmaximal, characteristic, complemented
32C2×2−1+4×C89C2211yescharacteristic
33C22×#41×C89C2211yescharacteristic, complemented
34C2×#137×C89C2211yescharacteristic
35C2×#137×C89C2211yescharacteristic, complemented
36C2×AGL(1,ℤ/8)×C89C2211yescharacteristic
37C2×AGL(1,ℤ/8)×C89C2211yescharacteristic, complemented
38C2×#135×C89C2211yescharacteristic
39C2×#135×C89C2211yescharacteristic
40C22×Q16×C89C2211yescharacteristic, complemented
41C22×SD16×C89C2211yescharacteristic, complemented
42H(3,𝔽4)×C89—21no—
43#560×C89—21no—
44#559×C89—21no—
45#556×C89C2211yescharacteristic
46#556×C89C2211yescharacteristic, complemented
47#555×C89C2211yescharacteristic
48#555×C89C2211yescharacteristic, complemented
49#551×C89—21no—
50D4×Q8×C89C2211yescharacteristic
51D4×Q8×C89C2211yescharacteristic, complemented
52#548×C89C2211yescharacteristic
53#548×C89C2211yescharacteristic
54#548×C89C2211yescharacteristic, complemented
55#548×C89C2211yescharacteristic, complemented
56#547×C89—21no—
57#547×C89—21no—
58#547×C89C2211yescharacteristic
59#547×C89C2211yescharacteristic, complemented
60#546×C89—21no—
61#546×C89—21no—
62#546×C89C2211yescharacteristic
63#546×C89C2211yescharacteristic
64#546×C89C2211yescharacteristic, complemented
65#546×C89C2211yescharacteristic, complemented
66#542×C89—21no—
67#542×C89—21no—
68#542×C89C2211yescharacteristic, complemented
69#542×C89C2211yescharacteristic, complemented
70#538×C89—21no—
71#538×C89—21no—
72#537×C89—21no—
73#537×C89C2211yescharacteristic
74#536×C89—21no—
75#536×C89C2211yescharacteristic, complemented
76#536×C89C2211yescharacteristic, complemented
77#535×C89C2211yescharacteristic, complemented
78#525×C89—21no—
79#525×C89C2211yescharacteristic
80#525×C89C2211yescharacteristic
81#525×C89C2211yescharacteristic
82C2×C22⋊Q8×C89—21no—
83C2×C22⋊Q8×C89C2211yescharacteristic, complemented
84#520×C89C2211yescharacteristic, complemented
85#497×C89C2211yescharacteristic, complemented
86#497×C89C2211yescharacteristic, complemented
87#495×C89C2211yescharacteristic, complemented
88#495×C89C2211yescharacteristic, complemented
89#489×C89C2211yescharacteristic, complemented
90#489×C89C2211yescharacteristic, complemented
91#487×C89C2211yescharacteristic, complemented
92#487×C89C2211yescharacteristic, complemented
93#485×C89C2211yescharacteristic, complemented
94#485×C89C2211yescharacteristic, complemented
95#485×C89C2211yescharacteristic, complemented
96#485×C89C2211yescharacteristic, complemented
97#485×C89C2211yescharacteristic, complemented
98#485×C89C2211yescharacteristic, complemented
99#484×C89C2211yescharacteristic, complemented
100#483×C89C2211yescharacteristic, complemented
101#482×C89C2211yescharacteristic, complemented
102#482×C89C2211yescharacteristic, complemented
103#481×C89C2211yescharacteristic, complemented
104#480×C89C2211yescharacteristic, complemented
105#477×C89C2211yescharacteristic, complemented
106#476×C89C2211yescharacteristic, complemented
107#475×C89C2211yescharacteristic, complemented
108#474×C89C2211yescharacteristic, complemented
109#470×C89C2211yescharacteristic, complemented
110#470×C89C2211yescharacteristic, complemented
111#470×C89C2211yescharacteristic, complemented
112#469×C89C2211yescharacteristic, complemented
113#468×C89C2211yescharacteristic
114#468×C89C2211yescharacteristic
115#468×C89C2211yescharacteristic, complemented
116#468×C89C2211yescharacteristic, complemented
117#467×C89C2211yescharacteristic, complemented
118#467×C89C2211yescharacteristic, complemented
119#467×C89C2211yescharacteristic, complemented
120#466×C89C2211yescharacteristic, complemented
121#465×C89C2211yescharacteristic, complemented
122#465×C89C2211yescharacteristic, complemented
123#465×C89C2211yescharacteristic, complemented
124#465×C89C2211yescharacteristic, complemented
125#464×C89C2211yescharacteristic, complemented
126#464×C89C2211yescharacteristic, complemented
127#464×C89C2211yescharacteristic, complemented
128#464×C89C2211yescharacteristic, complemented
129#463×C89C2211yescharacteristic, complemented
130#463×C89C2211yescharacteristic, complemented
131#463×C89C2211yescharacteristic, complemented
132#463×C89C2211yescharacteristic, complemented
133#462×C89C2211yescharacteristic, complemented
134#462×C89C2211yescharacteristic, complemented
135#461×C89C2211yescharacteristic, complemented
136#461×C89C2211yescharacteristic, complemented
137#452×C89C2211yescharacteristic
138#452×C89C2211yescharacteristic
139#452×C89C2211yescharacteristic, complemented
140#452×C89C2211yescharacteristic, complemented
141#452×C89C2211yescharacteristic, complemented
142#452×C89C2211yescharacteristic, complemented
143#452×C89C2211yescharacteristic, complemented
144#452×C89C2211yescharacteristic, complemented
145#452×C89C2211yescharacteristic, complemented
146#452×C89C2211yescharacteristic, complemented
147#452×C89C2211yescharacteristic, complemented
148#452×C89C2211yescharacteristic, complemented
149#451×C89C2211yescharacteristic, complemented
150#451×C89C2211yescharacteristic, complemented
151#451×C89C2211yescharacteristic, complemented
152#451×C89C2211yescharacteristic, complemented
153#451×C89C2211yescharacteristic, complemented
154#451×C89C2211yescharacteristic, complemented
155#450×C89C2211yescharacteristic, complemented
156#450×C89C2211yescharacteristic, complemented
157#449×C89C2211yescharacteristic
158#449×C89C2211yescharacteristic
159#449×C89C2211yescharacteristic
160#449×C89C2211yescharacteristic
161#449×C89C2211yescharacteristic
162#449×C89C2211yescharacteristic
163#449×C89C2211yescharacteristic, complemented
164#449×C89C2211yescharacteristic, complemented
165#448×C89C2211yescharacteristic
166#448×C89C2211yescharacteristic, complemented
167#448×C89C2211yescharacteristic, complemented
168#448×C89C2211yescharacteristic, complemented
169#448×C89C2211yescharacteristic, complemented
170#448×C89C2211yescharacteristic, complemented
171#447×C89C2211yescharacteristic
172#447×C89C2211yescharacteristic, complemented
173#442×C89C2211yescharacteristic, complemented
174#441×C89C2211yescharacteristic, complemented
175#440×C89C2211yescharacteristic, complemented
176#440×C89C2211yescharacteristic, complemented
177C4×Q16×C89C2211yescharacteristic, complemented
178C4×SD16×C89C2211yescharacteristic, complemented
179C4×SD16×C89C2211yescharacteristic, complemented
180C4×D8×C89C2211yescharacteristic, complemented
181#436×C89C2211yescharacteristic
182#436×C89C2211yescharacteristic, complemented
183#435×C89C2211yescharacteristic
184#435×C89C2211yescharacteristic, complemented
185#435×C89C2211yescharacteristic, complemented
186#435×C89C2211yescharacteristic, complemented
187C8×D4×C89C2211yescharacteristic, complemented
188C8×D4×C89C2211yescharacteristic, complemented
189#433×C89C2211yescharacteristic, complemented
190#433×C89C2211yescharacteristic, complemented
191#419×C89C2211yescharacteristic, complemented
192#419×C89C2211yescharacteristic, complemented
193#419×C89C2211yescharacteristic, complemented
194#418×C89C2211yescharacteristic, complemented
195#416×C89C2211yescharacteristic, complemented
196#416×C89C2211yescharacteristic, complemented
197#416×C89C2211yescharacteristic, complemented
198#416×C89C2211yescharacteristic, complemented
199#408×C89C2211yescharacteristic, complemented
200#408×C89C2211yescharacteristic, complemented
201#407×C89C2211yescharacteristic, complemented
202C2×C22⋊C8×C89C2211yescharacteristic, complemented
2032−1+4×C89—42no—
2042−1+4×C89—42no—
205C2×#41×C89—21no—
206C2×#41×C89—21no—
207C2×#41×C89—21no—
208C2×#41×C89—21no—
209C2×#41×C89—21no—
210C2×#41×C89—42no—
211C2×#41×C89—42no—
212C2×#41×C89C2311yescharacteristic
213C2×#41×C89C2311yescharacteristic
214C2×#41×C89C2311yescharacteristic
215C2×#41×C89C2311yescharacteristic
216C2×#41×C89C2311yescharacteristic
217C2×#41×C89C2311yescharacteristic
218C2×#41×C89C2311yescharacteristic
219C2×#41×C89C2311yescharacteristic
220C2×#41×C89C2311yescharacteristic
221C22×Q8×C89—21no—
222C22×Q8×C89C2311yescharacteristic
223C22×Q8×C89C2311yescharacteristic
224C22×Q8×C89C2311yescharacteristic
225C22×Q8×C89C2311yescharacteristic
226C22×Q8×C89C2311yescharacteristic
227C22×D4×C89—21no—
228C22×D4×C89C2311yescharacteristic
229C22×D4×C89C2311yescharacteristic
230C23×C4×C89—21no—
231C23×C4×C89C2311yescharacteristic
232#137×C89—42no—
233#137×C89—42no—
234AGL(1,ℤ/8)×C89—42no—
235AGL(1,ℤ/8)×C89—42no—
236#135×C89—42no—
237#135×C89—42no—
238C2×Q16×C89—42no—
239C2×Q16×C89C2311yescharacteristic
240C2×Q16×C89C2311yescharacteristic
241C2×Q16×C89C2311yescharacteristic
242C2×Q16×C89C2311yescharacteristic
243C2×Q16×C89C2311yescharacteristic
244C2×Q16×C89C2311yescharacteristic
245C2×Q16×C89C2311yescharacteristic
246C2×Q16×C89C2311yescharacteristic
247C2×SD16×C89—42no—
248C2×SD16×C89C2311yescharacteristic
249C2×SD16×C89C2311yescharacteristic
250C2×SD16×C89C2311yescharacteristic
251C2×SD16×C89C2311yescharacteristic
252C2×SD16×C89C2311yescharacteristic
253C2×SD16×C89C2311yescharacteristic
254C2×SD16×C89C2311yescharacteristic
255C2×SD16×C89C2311yescharacteristic
256C2×SD16×C89C2311yescharacteristic
257C2×SD16×C89C2311yescharacteristic
258C2×SD16×C89C2311yescharacteristic
259C2×SD16×C89C2311yescharacteristic
260C2×D8×C89C2311yescharacteristic
261C2×D8×C89C2311yescharacteristic
262C2×D8×C89C2311yescharacteristic
263C2×D8×C89C2311yescharacteristic
264C2×M16×C89C2311yescharacteristic
265C2×M16×C89C2311yescharacteristic
266C2×M16×C89C2311yescharacteristic
267C2×M16×C89C2311yescharacteristic
268C22×C8×C89C2311yescharacteristic
269C22×C8×C89C2311yescharacteristic
270C22×C8×C89C2311yescharacteristic
271C22×C8×C89C2311yescharacteristic
272C4⋊Q8×C89—21no—
273C4⋊Q8×C89—21no—
274C4⋊Q8×C89—21no—
275C4⋊Q8×C89C2311yescharacteristic
276C4⋊Q8×C89C2311yescharacteristic
277C4⋊Q8×C89C2311yescharacteristic
278C4⋊Q8×C89C2311yescharacteristic
279#127×C89—21no—
280#126×C89—21no—
281#126×C89—21no—
282#126×C89—21no—
283#126×C89—21no—
284#126×C89—21no—
285#126×C89—21no—
286#124×C89—21no—
287#124×C89—21no—
288#124×C89—21no—
289#124×C89—21no—
290#124×C89—21no—
291#124×C89—21no—
292#124×C89—21no—
293#124×C89—21no—
294#124×C89—21no—
295#124×C89—21no—
296#124×C89—21no—
297#124×C89—21no—
298#124×C89—21no—
299#124×C89—21no—
300#124×C89C2311yescharacteristic
301#124×C89C2311yescharacteristic
302#124×C89C2311yescharacteristic
303#124×C89C2311yescharacteristic
304#123×C89—21no—
305#123×C89—21no—
306#123×C89—21no—
307#123×C89—21no—
308#123×C89—21no—
309#123×C89—21no—
310#123×C89—21no—
311#123×C89—21no—
312#123×C89—21no—
313#123×C89—21no—
314#123×C89—21no—
315#123×C89—21no—
316#123×C89—21no—
317#123×C89—21no—
318#123×C89—21no—
319#123×C89—21no—
320#123×C89D411yescharacteristic
321#123×C89D411yescharacteristic
322C22⋊Q8×C89—21no—
323C22⋊Q8×C89—21no—
324C22⋊Q8×C89—21no—
325C22⋊Q8×C89—21no—
326C22⋊Q8×C89—21no—
327C22⋊Q8×C89—21no—
328C22⋊Q8×C89—21no—
329C22⋊Q8×C89—21no—
330C22⋊Q8×C89—21no—
331C22⋊Q8×C89—21no—
332C22⋊Q8×C89—21no—
333C22⋊Q8×C89—21no—
334C22⋊Q8×C89—21no—
335C22⋊Q8×C89—21no—
336C22⋊Q8×C89—21no—
337C22⋊Q8×C89D411yescharacteristic
338C22⋊Q8×C89D411yescharacteristic
339C22⋊Q8×C89C2311yescharacteristic
340C22⋊Q8×C89C2311yescharacteristic
341C22⋊Q8×C89C2311yescharacteristic
342C22⋊Q8×C89C2311yescharacteristic
343C22⋊Q8×C89C2311yescharacteristic
344C22⋊Q8×C89C2311yescharacteristic
345C22⋊Q8×C89C2311yescharacteristic
346C22⋊Q8×C89C2311yescharacteristic
347C22⋊Q8×C89C2311yescharacteristic
348C22⋊Q8×C89C2311yescharacteristic
349C22⋊Q8×C89C2311yescharacteristic
350C22⋊Q8×C89C2311yescharacteristic
351#121×C89—21no—
352#121×C89—21no—
353#121×C89—21no—
354#121×C89—21no—
355#121×C89—21no—
356#121×C89—21no—
357#121×C89—21no—
358#121×C89—21no—
359#121×C89—21no—
360#121×C89—21no—
361#121×C89—21no—
362#121×C89—21no—
363#121×C89—21no—
364#121×C89—21no—
365#121×C89—21no—
366#121×C89D411yescharacteristic
367#121×C89D411yescharacteristic
368#121×C89C2311yescharacteristic
369#121×C89C2311yescharacteristic
370#121×C89C2311yescharacteristic
371#121×C89C2311yescharacteristic
372#121×C89C2311yescharacteristic
373#121×C89C2311yescharacteristic
374#121×C89C2311yescharacteristic
375#121×C89C2311yescharacteristic
376#120×C89—21no—
377#120×C89—21no—
378#120×C89—21no—
379#120×C89—21no—
380#120×C89—21no—
381#120×C89—21no—
382#120×C89—21no—
383#120×C89—21no—
384#120×C89D411yescharacteristic
385#120×C89D411yescharacteristic
386C4×Q8×C89—21no—
387C4×Q8×C89—21no—
388C4×Q8×C89C2311yescharacteristic
389C4×Q8×C89C2311yescharacteristic
390C4×Q8×C89C2311yescharacteristic
391C4×Q8×C89C2311yescharacteristic
392C4×D4×C89—21no—
393C4×D4×C89—21no—
394C4×D4×C89—21no—
395C4×D4×C89—21no—
396C4×D4×C89—21no—
397C4×D4×C89—21no—
398C4×D4×C89—21no—
399C4×D4×C89—21no—
400C4×D4×C89—21no—
401C4×D4×C89—21no—
402C4×D4×C89—21no—
403C4×D4×C89—21no—
404C4×D4×C89C2311yescharacteristic
405C4×D4×C89C2311yescharacteristic
406C4×D4×C89C2311yescharacteristic
407C4×D4×C89C2311yescharacteristic
408C4×D4×C89C2311yescharacteristic
409C4×D4×C89C2311yescharacteristic
410C4×D4×C89C2311yescharacteristic
411C4×D4×C89C2311yescharacteristic
412#117×C89—21no—
413#117×C89—21no—
414#117×C89—21no—
415#117×C89C2311yescharacteristic
416#117×C89C2311yescharacteristic
417#117×C89C2311yescharacteristic
418#117×C89C2311yescharacteristic
419#117×C89C2311yescharacteristic
420C2×C4⋊C4×C89—21no—
421C2×C4⋊C4×C89—21no—
422C2×C4⋊C4×C89—21no—
423C2×C4⋊C4×C89—21no—
424C2×C4⋊C4×C89C2311yescharacteristic
425C2×C22⋊C4×C89—21no—
426C2×C22⋊C4×C89—21no—
427C2×C22⋊C4×C89—21no—
428C2×C22⋊C4×C89—21no—
429C2×C22⋊C4×C89—21no—
430#107×C89C2311yescharacteristic
431#107×C89C2311yescharacteristic
432#107×C89C2311yescharacteristic
433#107×C89C2311yescharacteristic
434#106×C89C2311yescharacteristic
435#106×C89C2311yescharacteristic
436#106×C89C2311yescharacteristic
437#106×C89C2311yescharacteristic
438C4⋊C8×C89C2311yescharacteristic
439C4⋊C8×C89C2311yescharacteristic
440C4⋊C8×C89C2311yescharacteristic
441C4⋊C8×C89C2311yescharacteristic
442#103×C89C2311yescharacteristic
443#103×C89C2311yescharacteristic
444#103×C89C2311yescharacteristic
445#103×C89C2311yescharacteristic
446#103×C89C2311yescharacteristic
447#103×C89C2311yescharacteristic
448#103×C89C2311yescharacteristic
449#103×C89C2311yescharacteristic
450#103×C89C2311yescharacteristic
451#103×C89C2311yescharacteristic
452#103×C89C2311yescharacteristic
453#103×C89C2311yescharacteristic
454#103×C89C2311yescharacteristic
455#103×C89C2311yescharacteristic
456#103×C89C2311yescharacteristic
457#103×C89C2311yescharacteristic
458#103×C89C2311yescharacteristic
459#103×C89C2311yescharacteristic
460#103×C89C2311yescharacteristic
461#103×C89C2311yescharacteristic
462#102×C89C2311yescharacteristic
463#102×C89C2311yescharacteristic
464#102×C89C2311yescharacteristic
465#102×C89C2311yescharacteristic
466#102×C89C2311yescharacteristic
467#102×C89C2311yescharacteristic
468#102×C89C2311yescharacteristic
469#102×C89C2311yescharacteristic
470#102×C89C2311yescharacteristic
471#102×C89C2311yescharacteristic
472#102×C89C2311yescharacteristic
473#102×C89C2311yescharacteristic
474C22⋊C8×C89C2311yescharacteristic
475C22⋊C8×C89C2311yescharacteristic
476C22⋊C8×C89C2311yescharacteristic
477C22⋊C8×C89C2311yescharacteristic
478C22⋊C8×C89C2311yescharacteristic
479C22⋊C8×C89C2311yescharacteristic
480C22⋊C8×C89C2311yescharacteristic
481C22⋊C8×C89C2311yescharacteristic
482C22⋊C8×C89C2311yescharacteristic
483C22⋊C8×C89C2311yescharacteristic
484C22⋊C8×C89C2311yescharacteristic
485C22⋊C8×C89C2311yescharacteristic
486#97×C89C2311yescharacteristic
487#97×C89C2311yescharacteristic
488C4×C8×C89C2311yescharacteristic
489C4×C8×C89C2311yescharacteristic
490C24×C89—21no—
491C24×C89—21no—
492C24×C89C2×D411yescharacteristic
493#41×C89—22no—
494#41×C89—22no—
495#41×C89—22no—
496#41×C89—22no—
497#41×C89—22no—
498#41×C89—22no—
499#41×C89—41no—
500#41×C89—41no—
501#41×C89—41no—
502#41×C89—41no—
503#41×C89—41no—
504#41×C89—41no—
505#41×C89—41no—
506#41×C89—41no—
507#41×C89—44no—
508#41×C89—44no—
509#41×C89—41no—
510#41×C89—41no—
511#41×C89—41no—
512#41×C89—41no—
513#41×C89—44no—
514#41×C89—44no—
515#41×C89—44no—
516C2×Q8×C89—21no—
517C2×Q8×C89—21no—
518C2×Q8×C89—21no—
519C2×Q8×C89—21no—
520C2×Q8×C89—21no—
521C2×Q8×C89—21no—
522C2×Q8×C89—21no—
523C2×Q8×C89—22no—
524C2×Q8×C89—22no—
525C2×Q8×C89—22no—
526C2×Q8×C89—41no—
527C2×Q8×C89—41no—
528C2×Q8×C89—41no—
529C2×Q8×C89—41no—
530C2×Q8×C89—41no—
531C2×Q8×C89—44no—
532C2×Q8×C89—41no—
533C2×Q8×C89—41no—
534C2×Q8×C89C2×D411yescharacteristic
535C2×Q8×C89C2411yescharacteristic
536C2×Q8×C89C2411yescharacteristic
537C2×Q8×C89C2411yescharacteristic
538C2×Q8×C89C2411yescharacteristic
539C2×Q8×C89C2411yescharacteristic
540C2×Q8×C89C2411yescharacteristic
541C2×D4×C89—21no—
542C2×D4×C89—22no—
543C2×D4×C89—21no—
544C2×D4×C89—21no—
545C2×D4×C89—21no—
546C2×D4×C89—21no—
547C2×D4×C89—21no—
548C2×D4×C89—21no—
549C2×D4×C89—21no—
550C2×D4×C89—21no—
551C2×D4×C89—21no—
552C2×D4×C89—21no—
553C2×D4×C89—21no—
554C2×D4×C89—21no—
555C2×D4×C89—21no—
556C2×D4×C89—21no—
557C2×D4×C89—21no—
558C2×D4×C89—21no—
559C2×D4×C89—21no—
560C2×D4×C89—41no—
561C2×D4×C89—41no—
562C2×D4×C89—41no—
563C2×D4×C89—44no—
564C2×D4×C89C2×D411yescharacteristic
565C2×D4×C89C2×D411yescharacteristic
566C2×D4×C89C2×D411yescharacteristic
567C2×D4×C89C2×D411yescharacteristic
568C2×D4×C89C2×D411yescharacteristic
569C2×D4×C89C2×D411yescharacteristic
570C2×D4×C89C2×D411yescharacteristic
571C2×D4×C89C2411yescharacteristic
572C2×D4×C89C2411yescharacteristic
573C2×D4×C89C2411yescharacteristic
574C2×D4×C89C2411yescharacteristic
575C22×C4×C89—21no—
576C22×C4×C89—21no—
577C22×C4×C89—21no—
578C22×C4×C89—21no—
579C22×C4×C89—21no—
580C22×C4×C89—21no—
581C22×C4×C89—21no—
582C22×C4×C89—21no—
583C22×C4×C89—21no—
584C22×C4×C89—21no—
585C22×C4×C89—21no—
586C22×C4×C89—21no—
587C22×C4×C89—21no—
588C22×C4×C89—21no—
589C22×C4×C89—21no—
590C22×C4×C89—21no—
591C22×C4×C89—21no—
592C22×C4×C89—21no—
593C22×C4×C89—41no—
594C22×C4×C89—41no—
595C22×C4×C89—44no—
596C22×C4×C89C2×D411yescharacteristic
597C22×C4×C89C2×D411yescharacteristic
598C22×C4×C89C2×D411yescharacteristic
599C22×C4×C89C2411yescharacteristic
600C22×C4×C89C2411yescharacteristic
601C22×C4×C89C2411yescharacteristic
602C22×C4×C89C2411yescharacteristic
603C22×C4×C89C2411yescharacteristic
604Q16×C89—22no—
605Q16×C89—22no—
606Q16×C89—41no—
607Q16×C89—41no—
608Q16×C89—41no—
609Q16×C89—41no—
610Q16×C89—41no—
611Q16×C89—41no—
612SD16×C89—22no—
613SD16×C89—22no—
614SD16×C89—22no—
615SD16×C89—22no—
616SD16×C89—41no—
617SD16×C89—41no—
618SD16×C89—41no—
619SD16×C89—41no—
620SD16×C89—41no—
621SD16×C89—41no—
622SD16×C89—41no—
623SD16×C89—41no—
624D8×C89—22no—
625D8×C89—22no—
626D8×C89—41no—
627D8×C89—41no—
628M16×C89—41no—
629M16×C89—41no—
630M16×C89—41no—
631M16×C89—41no—
632C2×C8×C89—41no—
633C2×C8×C89—41no—
634C2×C8×C89—41no—
635C2×C8×C89—41no—
636C2×C8×C89C2411yescharacteristic
637C2×C8×C89C2411yescharacteristic
638C2×C8×C89C2411yescharacteristic
639C2×C8×C89C2411yescharacteristic
640C2×C8×C89C2411yescharacteristic
641C2×C8×C89C2411yescharacteristic
642C2×C8×C89C2411yescharacteristic
643C2×C8×C89C2411yescharacteristic
644C4⋊C4×C89—21no—
645C4⋊C4×C89—21no—
646C4⋊C4×C89—21no—
647C4⋊C4×C89—21no—
648C4⋊C4×C89—21no—
649C4⋊C4×C89—21no—
650C4⋊C4×C89—21no—
651C4⋊C4×C89—21no—
652C4⋊C4×C89—21no—
653C4⋊C4×C89—21no—
654C4⋊C4×C89—21no—
655C4⋊C4×C89—21no—
656C4⋊C4×C89—21no—
657C4⋊C4×C89—21no—
658C4⋊C4×C89—21no—
659C4⋊C4×C89—21no—
660C4⋊C4×C89—21no—
661C4⋊C4×C89—21no—
662C4⋊C4×C89—21no—
663C4⋊C4×C89—21no—
664C4⋊C4×C89—21no—
665C4⋊C4×C89—21no—
666C4⋊C4×C89—21no—
667C4⋊C4×C89C2×D411yescharacteristic
668C4⋊C4×C89C2×D411yescharacteristic
669C4⋊C4×C89C2×D411yescharacteristic
670C4⋊C4×C89C2×D411yescharacteristic
671C4⋊C4×C89C2×D411yescharacteristic
672C4⋊C4×C89C2×D411yescharacteristic
673C4⋊C4×C89C2411yescharacteristic
674C4⋊C4×C89C2411yescharacteristic
675C4⋊C4×C89C2411yescharacteristic
676C4⋊C4×C89C2411yescharacteristic
677C4⋊C4×C89C2411yescharacteristic
678C4⋊C4×C89C2411yescharacteristic
679C22⋊C4×C89—21no—
680C22⋊C4×C89—21no—
681C22⋊C4×C89—21no—
682C22⋊C4×C89—21no—
683C22⋊C4×C89—21no—
684C22⋊C4×C89—21no—
685C22⋊C4×C89—21no—
686C22⋊C4×C89—21no—
687C22⋊C4×C89—21no—
688C22⋊C4×C89—21no—
689C22⋊C4×C89—21no—
690C22⋊C4×C89—21no—
691C22⋊C4×C89—21no—
692C22⋊C4×C89—21no—
693C22⋊C4×C89—21no—
694C22⋊C4×C89—21no—
695C22⋊C4×C89—21no—
696C22⋊C4×C89—21no—
697C22⋊C4×C89—21no—
698C22⋊C4×C89—21no—
699C22⋊C4×C89—21no—
700C22⋊C4×C89—21no—
701C22⋊C4×C89—21no—
702C22⋊C4×C89—21no—
703C22⋊C4×C89—21no—
704C22⋊C4×C89—21no—
705C22⋊C4×C89—21no—
706C22⋊C4×C89—21no—
707C22⋊C4×C89—21no—
708C22⋊C4×C89—21no—
709C22⋊C4×C89—21no—
710C22⋊C4×C89—21no—
711C22⋊C4×C89—21no—
712C22⋊C4×C89—21no—
713C22⋊C4×C89—21no—
714C22⋊C4×C89—21no—
715C22⋊C4×C89C2×D411yescharacteristic
716C22⋊C4×C89C2×D411yescharacteristic
717C22⋊C4×C89C2×D411yescharacteristic
718C22⋊C4×C89C2×D411yescharacteristic
719C22⋊C4×C89C2×D411yescharacteristic
720C22⋊C4×C89C2×D411yescharacteristic
721C22⋊C4×C89C2×D411yescharacteristic
722C22⋊C4×C89C2×D411yescharacteristic
723C22⋊C4×C89C2×D411yescharacteristic
724C22⋊C4×C89C2×D411yescharacteristic
725C42×C89—21no—
726C42×C89—21no—
727C42×C89—21no—
728C42×C89—21no—
729C42×C89—21no—
730C42×C89—21no—
731C42×C89—21no—
732C42×C89—21no—
733C42×C89C2411yescharacteristic
734C42×C89C2411yescharacteristic
735C23×C89—21no—
736C23×C89—21no—
737C23×C89—21no—
738C23×C89—21no—
739C23×C89—41no—
740C23×C89—41no—
741C23×C89—41no—
742C23×C89—42no—
743C23×C89—42no—
744C23×C89—81no—
745C23×C89—81no—
746C23×C89—81no—
747C23×C89—81no—
748C23×C89C22×D411yescharacteristic
749C23×C89C22×D411yescharacteristic
750C23×C89C22×D411yescharacteristic
751C23×C89C22×D411yescharacteristic
752C23×C89C22×D411yescharacteristic
753Q8×C89—21no—
754Q8×C89—21no—
755Q8×C89—21no—
756Q8×C89—21no—
757Q8×C89—21no—
758Q8×C89—21no—
759Q8×C89—21no—
760Q8×C89—21no—
761Q8×C89—21no—
762Q8×C89—21no—
763Q8×C89—21no—
764Q8×C89—41no—
765Q8×C89—42no—
766Q8×C89—42no—
767Q8×C89—42no—
768Q8×C89—42no—
769Q8×C89—81no—
770Q8×C89—81no—
771Q8×C89—81no—
772Q8×C89H(5,𝔽2)12yes—
773D4×C89—24no—
774D4×C89—21no—
775D4×C89—21no—
776D4×C89—21no—
777D4×C89—21no—
778D4×C89—21no—
779D4×C89—21no—
780D4×C89—21no—
781D4×C89—41no—
782D4×C89—41no—
783D4×C89—41no—
784D4×C89—41no—
785D4×C89—41no—
786D4×C89—41no—
787D4×C89—41no—
788D4×C89—42no—
789D4×C89—42no—
790D4×C89—42no—
791D4×C89—42no—
792D4×C89—42no—
793D4×C89—42no—
794D4×C89—81no—
795D4×C89—81no—
796D4×C89—81no—
797D4×C89—81no—
798D4×C89—81no—
799D4×C89—81no—
800D4×C89—81no—
801D4×C89—81no—
802D4×C89—81no—
803D4×C89—81no—
804D4×C89—81no—
805D4×C89H(5,𝔽2)12yes—
806C2×C4×C89—24no—
807C2×C4×C89—21no—
808C2×C4×C89—21no—
809C2×C4×C89—21no—
810C2×C4×C89—21no—
811C2×C4×C89—21no—
812C2×C4×C89—21no—
813C2×C4×C89—21no—
814C2×C4×C89—21no—
815C2×C4×C89—21no—
816C2×C4×C89—21no—
817C2×C4×C89—21no—
818C2×C4×C89—21no—
819C2×C4×C89—21no—
820C2×C4×C89—21no—
821C2×C4×C89—21no—
822C2×C4×C89—21no—
823C2×C4×C89—21no—
824C2×C4×C89—21no—
825C2×C4×C89—21no—
826C2×C4×C89—21no—
827C2×C4×C89—21no—
828C2×C4×C89—21no—
829C2×C4×C89—41no—
830C2×C4×C89—41no—
831C2×C4×C89—41no—
832C2×C4×C89—42no—
833C2×C4×C89—42no—
834C2×C4×C89—42no—
835C2×C4×C89—42no—
836C2×C4×C89—42no—
837C2×C4×C89—42no—
838C2×C4×C89—42no—
839C2×C4×C89—42no—
840C2×C4×C89—42no—
841C2×C4×C89—81no—
842C2×C4×C89—81no—
843C2×C4×C89—81no—
844C2×C4×C89—81no—
845C2×C4×C89—81no—
846C2×C4×C89—81no—
847C2×C4×C89—81no—
848C2×C4×C89—81no—
849C2×C4×C89C22×D411yescharacteristic
850C2×C4×C89C22×D411yescharacteristic
851C2×C4×C89C22×D411yescharacteristic
852C2×C4×C89C22×D411yescharacteristic
853C2×C4×C89C22×D411yescharacteristic
854C2×C4×C89C22×D411yescharacteristic
855C2×C4×C89C22×D411yescharacteristic
856C2×C4×C89C22×D411yescharacteristic
857C2×C4×C89C22×D411yescharacteristic
858C2×C4×C89C2511yescharacteristic
859C8×C89—21no—
860C8×C89—21no—
861C8×C89—21no—
862C8×C89—21no—
863C8×C89—21no—
864C8×C89—21no—
865C8×C89—21no—
866C8×C89—21no—
867C22×C89—21no—
868C22×C89—21no—
869C22×C89—21no—
870C22×C89—21no—
871C22×C89—21no—
872C22×C89—21no—
873C22×C89—21no—
874C22×C89—21no—
875C22×C89—21no—
876C22×C89—21no—
877C22×C89—21no—
878C22×C89—22no—
879C22×C89—21no—
880C22×C89—21no—
881C22×C89—21no—
882C22×C89—21no—
883C22×C89—41no—
884C22×C89—41no—
885C22×C89—41no—
886C22×C89—41no—
887C22×C89—41no—
888C22×C89—41no—
889C22×C89—41no—
890C22×C89—41no—
891C22×C89—41no—
892C22×C89—41no—
893C22×C89—41no—
894C22×C89—82no—
895C22×C89—84no—
896C22×C89—162no—
897C22×C89C23×D411yescharacteristic
898C4×C89—21no—
899C4×C89—21no—
900C4×C89—21no—
901C4×C89—21no—
902C4×C89—21no—
903C4×C89—22no—
904C4×C89—21no—
905C4×C89—21no—
906C4×C89—21no—
907C4×C89—21no—
908C4×C89—41no—
909C4×C89—41no—
910C4×C89—41no—
911C4×C89—41no—
912C4×C89—41no—
913C4×C89—41no—
914C4×C89—41no—
915C4×C89—41no—
916C4×C89—41no—
917C4×C89—41no—
918C4×C89—41no—
919C4×C89C2×H(5,𝔽2)11yescharacteristic
920C4×C89C2×H(5,𝔽2)11yescharacteristic
921#61627C8911yesmaximal, characteristic, direct product factor, Sylow
922C2×C89—41no—
923C2×C89—41no—
924C2×C89—41no—
925C2×C89—41no—
926C2×C89—41no—
927C2×C89—42no—
928C2×C89—81no—
929C2×C89—81no—
930C2×C89—81no—
931C2×C89#348411yescharacteristic
932C2×C89#358411yescharacteristic
933C2×C89#358611yescharacteristic
934#3540C2×C8911yescharacteristic, complemented
935#3489C2×C8911yescharacteristic, complemented
936#3329C2×C8911yescharacteristic, complemented
937#3328C2×C8911yescharacteristic, complemented
938#3321C2×C8911yescharacteristic, complemented
939#3319C2×C8911yescharacteristic, complemented
940#3313C2×C8911yescharacteristic, complemented
941#3311C2×C8911yescharacteristic, complemented
942#3303C2×C8911yescharacteristic, complemented
943#3302C2×C8911yescharacteristic, complemented
944#3285C2×C8911yescharacteristic, complemented
945#3282C2×C8911yescharacteristic, complemented
946#3275C2×C8911yescharacteristic, complemented
947#3273C2×C8911yescharacteristic, complemented
948#3270C2×C8911yescharacteristic, complemented
949#3269C2×C8911yescharacteristic, complemented
950#3267C2×C8911yescharacteristic, complemented
951#3266C2×C8911yescharacteristic, complemented
952#3225C2×C8911yescharacteristic, complemented
953#3225C2×C8911yescharacteristic, complemented
954#3201C2×C8911yescharacteristic, complemented
955#3198C2×C8911yescharacteristic, complemented
956#3196C2×C8911yescharacteristic, complemented
957#3190C2×C8911yescharacteristic, complemented
958#3125C2×C8911yescharacteristic, complemented
959#3124C2×C8911yescharacteristic, complemented
960#3011C2×C8911yescharacteristic, complemented
961#3010C2×C8911yescharacteristic, complemented
962#3005C2×C8911yescharacteristic, complemented
963#3002C2×C8911yescharacteristic, complemented
964#2976C2×C8911yescharacteristic, complemented
965C89#6162711yescharacteristic, direct product factor, Sylow
966C2×2−1+4C22×C8911yescharacteristic
967C22×#41C22×C8911yescharacteristic, complemented
968C2×#137C22×C8911yescharacteristic
969C2×#137C22×C8911yescharacteristic, complemented
970C2×AGL(1,ℤ/8)C22×C8911yescharacteristic
971C2×AGL(1,ℤ/8)C22×C8911yescharacteristic, complemented
972C2×#135C22×C8911yescharacteristic
973C2×#135C22×C8911yescharacteristic
974C22×Q16C22×C8911yescharacteristic, complemented
975C22×SD16C22×C8911yescharacteristic, complemented
976H(3,𝔽4)—21no—
977#560—21no—
978#559—21no—
979#556C22×C8911yescharacteristic
980#556C22×C8911yescharacteristic, complemented
981#555C22×C8911yescharacteristic
982#555C22×C8911yescharacteristic, complemented
983#551—21no—
984D4×Q8C22×C8911yescharacteristic
985D4×Q8C22×C8911yescharacteristic, complemented
986#548C22×C8911yescharacteristic
987#548C22×C8911yescharacteristic
988#548C22×C8911yescharacteristic, complemented
989#548C22×C8911yescharacteristic, complemented
990#547—21no—
991#547—21no—
992#547C22×C8911yescharacteristic
993#547C22×C8911yescharacteristic, complemented
994#546—21no—
995#546—21no—
996#546C22×C8911yescharacteristic
997#546C22×C8911yescharacteristic
998#546C22×C8911yescharacteristic, complemented
999#546C22×C8911yescharacteristic, complemented
1000#542—21no—
1001#542—21no—
1002#542C22×C8911yescharacteristic, complemented
1003#542C22×C8911yescharacteristic, complemented
1004#538—21no—
1005#538—21no—
1006#537—21no—
1007#537C22×C8911yescharacteristic
1008#536—21no—
1009#536C22×C8911yescharacteristic, complemented
1010#536C22×C8911yescharacteristic, complemented
1011#535C22×C8911yescharacteristic, complemented
1012#525—21no—
1013#525C22×C8911yescharacteristic
1014#525C22×C8911yescharacteristic
1015#525C22×C8911yescharacteristic
1016C2×C22⋊Q8—21no—
1017C2×C22⋊Q8C22×C8911yescharacteristic, complemented
1018#520C22×C8911yescharacteristic, complemented
1019#497C22×C8911yescharacteristic, complemented
1020#497C22×C8911yescharacteristic, complemented
1021#495C22×C8911yescharacteristic, complemented
1022#495C22×C8911yescharacteristic, complemented
1023#489C22×C8911yescharacteristic, complemented
1024#489C22×C8911yescharacteristic, complemented
1025#487C22×C8911yescharacteristic, complemented
1026#487C22×C8911yescharacteristic, complemented
1027#485C22×C8911yescharacteristic, complemented
1028#485C22×C8911yescharacteristic, complemented
1029#485C22×C8911yescharacteristic, complemented
1030#485C22×C8911yescharacteristic, complemented
1031#485C22×C8911yescharacteristic, complemented
1032#485C22×C8911yescharacteristic, complemented
1033#484C22×C8911yescharacteristic, complemented
1034#483C22×C8911yescharacteristic, complemented
1035#482C22×C8911yescharacteristic, complemented
1036#482C22×C8911yescharacteristic, complemented
1037#481C22×C8911yescharacteristic, complemented
1038#480C22×C8911yescharacteristic, complemented
1039#477C22×C8911yescharacteristic, complemented
1040#476C22×C8911yescharacteristic, complemented
1041#475C22×C8911yescharacteristic, complemented
1042#474C22×C8911yescharacteristic, complemented
1043#470C22×C8911yescharacteristic, complemented
1044#470C22×C8911yescharacteristic, complemented
1045#470C22×C8911yescharacteristic, complemented
1046#469C22×C8911yescharacteristic, complemented
1047#468C22×C8911yescharacteristic
1048#468C22×C8911yescharacteristic
1049#468C22×C8911yescharacteristic, complemented
1050#468C22×C8911yescharacteristic, complemented
1051#467C22×C8911yescharacteristic, complemented
1052#467C22×C8911yescharacteristic, complemented
1053#467C22×C8911yescharacteristic, complemented
1054#466C22×C8911yescharacteristic, complemented
1055#465C22×C8911yescharacteristic, complemented
1056#465C22×C8911yescharacteristic, complemented
1057#465C22×C8911yescharacteristic, complemented
1058#465C22×C8911yescharacteristic, complemented
1059#464C22×C8911yescharacteristic, complemented
1060#464C22×C8911yescharacteristic, complemented
1061#464C22×C8911yescharacteristic, complemented
1062#464C22×C8911yescharacteristic, complemented
1063#463C22×C8911yescharacteristic, complemented
1064#463C22×C8911yescharacteristic, complemented
1065#463C22×C8911yescharacteristic, complemented
1066#463C22×C8911yescharacteristic, complemented
1067#462C22×C8911yescharacteristic, complemented
1068#462C22×C8911yescharacteristic, complemented
1069#461C22×C8911yescharacteristic, complemented
1070#461C22×C8911yescharacteristic, complemented
1071#452C22×C8911yescharacteristic
1072#452C22×C8911yescharacteristic
1073#452C22×C8911yescharacteristic, complemented
1074#452C22×C8911yescharacteristic, complemented
1075#452C22×C8911yescharacteristic, complemented
1076#452C22×C8911yescharacteristic, complemented
1077#452C22×C8911yescharacteristic, complemented
1078#452C22×C8911yescharacteristic, complemented
1079#452C22×C8911yescharacteristic, complemented
1080#452C22×C8911yescharacteristic, complemented
1081#452C22×C8911yescharacteristic, complemented
1082#452C22×C8911yescharacteristic, complemented
1083#451C22×C8911yescharacteristic, complemented
1084#451C22×C8911yescharacteristic, complemented
1085#451C22×C8911yescharacteristic, complemented
1086#451C22×C8911yescharacteristic, complemented
1087#451C22×C8911yescharacteristic, complemented
1088#451C22×C8911yescharacteristic, complemented
1089#450C22×C8911yescharacteristic, complemented
1090#450C22×C8911yescharacteristic, complemented
1091#449C22×C8911yescharacteristic
1092#449C22×C8911yescharacteristic
1093#449C22×C8911yescharacteristic
1094#449C22×C8911yescharacteristic
1095#449C22×C8911yescharacteristic
1096#449C22×C8911yescharacteristic
1097#449C22×C8911yescharacteristic, complemented
1098#449C22×C8911yescharacteristic, complemented
1099#448C22×C8911yescharacteristic
1100#448C22×C8911yescharacteristic, complemented
1101#448C22×C8911yescharacteristic, complemented
1102#448C22×C8911yescharacteristic, complemented
1103#448C22×C8911yescharacteristic, complemented
1104#448C22×C8911yescharacteristic, complemented
1105#447C22×C8911yescharacteristic
1106#447C22×C8911yescharacteristic, complemented
1107#442C22×C8911yescharacteristic, complemented
1108#441C22×C8911yescharacteristic, complemented
1109#440C22×C8911yescharacteristic, complemented
1110#440C22×C8911yescharacteristic, complemented
1111C4×Q16C22×C8911yescharacteristic, complemented
1112C4×SD16C22×C8911yescharacteristic, complemented
1113C4×SD16C22×C8911yescharacteristic, complemented
1114C4×D8C22×C8911yescharacteristic, complemented
1115#436C22×C8911yescharacteristic
1116#436C22×C8911yescharacteristic, complemented
1117#435C22×C8911yescharacteristic
1118#435C22×C8911yescharacteristic, complemented
1119#435C22×C8911yescharacteristic, complemented
1120#435C22×C8911yescharacteristic, complemented
1121C8×D4C22×C8911yescharacteristic, complemented
1122C8×D4C22×C8911yescharacteristic, complemented
1123#433C22×C8911yescharacteristic, complemented
1124#433C22×C8911yescharacteristic, complemented
1125#419C22×C8911yescharacteristic, complemented
1126#419C22×C8911yescharacteristic, complemented
1127#419C22×C8911yescharacteristic, complemented
1128#418C22×C8911yescharacteristic, complemented
1129#416C22×C8911yescharacteristic, complemented
1130#416C22×C8911yescharacteristic, complemented
1131#416C22×C8911yescharacteristic, complemented
1132#416C22×C8911yescharacteristic, complemented
1133#408C22×C8911yescharacteristic, complemented
1134#408C22×C8911yescharacteristic, complemented
1135#407C22×C8911yescharacteristic, complemented
1136C2×C22⋊C8C22×C8911yescharacteristic, complemented
11372−1+4—42no—
11382−1+4—42no—
1139C2×#41—21no—
1140C2×#41—21no—
1141C2×#41—21no—
1142C2×#41—21no—
1143C2×#41—21no—
1144C2×#41—42no—
1145C2×#41—42no—
1146C2×#41C23×C8911yescharacteristic
1147C2×#41C23×C8911yescharacteristic
1148C2×#41C23×C8911yescharacteristic
1149C2×#41C23×C8911yescharacteristic
1150C2×#41C23×C8911yescharacteristic
1151C2×#41C23×C8911yescharacteristic
1152C2×#41C23×C8911yescharacteristic
1153C2×#41C23×C8911yescharacteristic
1154C2×#41C23×C8911yescharacteristic
1155C22×Q8—21no—
1156C22×Q8C23×C8911yescharacteristic
1157C22×Q8C23×C8911yescharacteristic
1158C22×Q8C23×C8911yescharacteristic
1159C22×Q8C23×C8911yescharacteristic
1160C22×Q8C23×C8911yescharacteristic
1161C22×D4—21no—
1162C22×D4C23×C8911yescharacteristic
1163C22×D4C23×C8911yescharacteristic
1164C23×C4—21no—
1165C23×C4C23×C8911yescharacteristic
1166#137—42no—
1167#137—42no—
1168AGL(1,ℤ/8)—42no—
1169AGL(1,ℤ/8)—42no—
1170#135—42no—
1171#135—42no—
1172C2×Q16—42no—
1173C2×Q16C23×C8911yescharacteristic
1174C2×Q16C23×C8911yescharacteristic
1175C2×Q16C23×C8911yescharacteristic
1176C2×Q16C23×C8911yescharacteristic
1177C2×Q16C23×C8911yescharacteristic
1178C2×Q16C23×C8911yescharacteristic
1179C2×Q16C23×C8911yescharacteristic
1180C2×Q16C23×C8911yescharacteristic
1181C2×SD16—42no—
1182C2×SD16C23×C8911yescharacteristic
1183C2×SD16C23×C8911yescharacteristic
1184C2×SD16C23×C8911yescharacteristic
1185C2×SD16C23×C8911yescharacteristic
1186C2×SD16C23×C8911yescharacteristic
1187C2×SD16C23×C8911yescharacteristic
1188C2×SD16C23×C8911yescharacteristic
1189C2×SD16C23×C8911yescharacteristic
1190C2×SD16C23×C8911yescharacteristic
1191C2×SD16C23×C8911yescharacteristic
1192C2×SD16C23×C8911yescharacteristic
1193C2×SD16C23×C8911yescharacteristic
1194C2×D8C23×C8911yescharacteristic
1195C2×D8C23×C8911yescharacteristic
1196C2×D8C23×C8911yescharacteristic
1197C2×D8C23×C8911yescharacteristic
1198C2×M16C23×C8911yescharacteristic
1199C2×M16C23×C8911yescharacteristic
1200C2×M16C23×C8911yescharacteristic
1201C2×M16C23×C8911yescharacteristic
1202C22×C8C23×C8911yescharacteristic
1203C22×C8C23×C8911yescharacteristic
1204C22×C8C23×C8911yescharacteristic
1205C22×C8C23×C8911yescharacteristic
1206C4⋊Q8—21no—
1207C4⋊Q8—21no—
1208C4⋊Q8—21no—
1209C4⋊Q8C23×C8911yescharacteristic
1210C4⋊Q8C23×C8911yescharacteristic
1211C4⋊Q8C23×C8911yescharacteristic
1212C4⋊Q8C23×C8911yescharacteristic
1213#127—21no—
1214#126—21no—
1215#126—21no—
1216#126—21no—
1217#126—21no—
1218#126—21no—
1219#126—21no—
1220#124—21no—
1221#124—21no—
1222#124—21no—
1223#124—21no—
1224#124—21no—
1225#124—21no—
1226#124—21no—
1227#124—21no—
1228#124—21no—
1229#124—21no—
1230#124—21no—
1231#124—21no—
1232#124—21no—
1233#124—21no—
1234#124C23×C8911yescharacteristic
1235#124C23×C8911yescharacteristic
1236#124C23×C8911yescharacteristic
1237#124C23×C8911yescharacteristic
1238#123—21no—
1239#123—21no—
1240#123—21no—
1241#123—21no—
1242#123—21no—
1243#123—21no—
1244#123—21no—
1245#123—21no—
1246#123—21no—
1247#123—21no—
1248#123—21no—
1249#123—21no—
1250#123—21no—
1251#123—21no—
1252#123—21no—
1253#123—21no—
1254#123D4×C8911yescharacteristic
1255#123D4×C8911yescharacteristic
1256C22⋊Q8—21no—
1257C22⋊Q8—21no—
1258C22⋊Q8—21no—
1259C22⋊Q8—21no—
1260C22⋊Q8—21no—
1261C22⋊Q8—21no—
1262C22⋊Q8—21no—
1263C22⋊Q8—21no—
1264C22⋊Q8—21no—
1265C22⋊Q8—21no—
1266C22⋊Q8—21no—
1267C22⋊Q8—21no—
1268C22⋊Q8—21no—
1269C22⋊Q8—21no—
1270C22⋊Q8—21no—
1271C22⋊Q8D4×C8911yescharacteristic
1272C22⋊Q8D4×C8911yescharacteristic
1273C22⋊Q8C23×C8911yescharacteristic
1274C22⋊Q8C23×C8911yescharacteristic
1275C22⋊Q8C23×C8911yescharacteristic
1276C22⋊Q8C23×C8911yescharacteristic
1277C22⋊Q8C23×C8911yescharacteristic
1278C22⋊Q8C23×C8911yescharacteristic
1279C22⋊Q8C23×C8911yescharacteristic
1280C22⋊Q8C23×C8911yescharacteristic
1281C22⋊Q8C23×C8911yescharacteristic
1282C22⋊Q8C23×C8911yescharacteristic
1283C22⋊Q8C23×C8911yescharacteristic
1284C22⋊Q8C23×C8911yescharacteristic
1285#121—21no—
1286#121—21no—
1287#121—21no—
1288#121—21no—
1289#121—21no—
1290#121—21no—
1291#121—21no—
1292#121—21no—
1293#121—21no—
1294#121—21no—
1295#121—21no—
1296#121—21no—
1297#121—21no—
1298#121—21no—
1299#121—21no—
1300#121D4×C8911yescharacteristic
1301#121D4×C8911yescharacteristic
1302#121C23×C8911yescharacteristic
1303#121C23×C8911yescharacteristic
1304#121C23×C8911yescharacteristic
1305#121C23×C8911yescharacteristic
1306#121C23×C8911yescharacteristic
1307#121C23×C8911yescharacteristic
1308#121C23×C8911yescharacteristic
1309#121C23×C8911yescharacteristic
1310#120—21no—
1311#120—21no—
1312#120—21no—
1313#120—21no—
1314#120—21no—
1315#120—21no—
1316#120—21no—
1317#120—21no—
1318#120D4×C8911yescharacteristic
1319#120D4×C8911yescharacteristic
1320C4×Q8—21no—
1321C4×Q8—21no—
1322C4×Q8C23×C8911yescharacteristic
1323C4×Q8C23×C8911yescharacteristic
1324C4×Q8C23×C8911yescharacteristic
1325C4×Q8C23×C8911yescharacteristic
1326C4×D4—21no—
1327C4×D4—21no—
1328C4×D4—21no—
1329C4×D4—21no—
1330C4×D4—21no—
1331C4×D4—21no—
1332C4×D4—21no—
1333C4×D4—21no—
1334C4×D4—21no—
1335C4×D4—21no—
1336C4×D4—21no—
1337C4×D4—21no—
1338C4×D4C23×C8911yescharacteristic
1339C4×D4C23×C8911yescharacteristic
1340C4×D4C23×C8911yescharacteristic
1341C4×D4C23×C8911yescharacteristic
1342C4×D4C23×C8911yescharacteristic
1343C4×D4C23×C8911yescharacteristic
1344C4×D4C23×C8911yescharacteristic
1345C4×D4C23×C8911yescharacteristic
1346#117—21no—
1347#117—21no—
1348#117—21no—
1349#117C23×C8911yescharacteristic
1350#117C23×C8911yescharacteristic
1351#117C23×C8911yescharacteristic
1352#117C23×C8911yescharacteristic
1353#117C23×C8911yescharacteristic
1354C2×C4⋊C4—21no—
1355C2×C4⋊C4—21no—
1356C2×C4⋊C4—21no—
1357C2×C4⋊C4—21no—
1358C2×C4⋊C4C23×C8911yescharacteristic
1359C2×C22⋊C4—21no—
1360C2×C22⋊C4—21no—
1361C2×C22⋊C4—21no—
1362C2×C22⋊C4—21no—
1363C2×C22⋊C4—21no—
1364#107C23×C8911yescharacteristic
1365#107C23×C8911yescharacteristic
1366#107C23×C8911yescharacteristic
1367#107C23×C8911yescharacteristic
1368#106C23×C8911yescharacteristic
1369#106C23×C8911yescharacteristic
1370#106C23×C8911yescharacteristic
1371#106C23×C8911yescharacteristic
1372C4⋊C8C23×C8911yescharacteristic
1373C4⋊C8C23×C8911yescharacteristic
1374C4⋊C8C23×C8911yescharacteristic
1375C4⋊C8C23×C8911yescharacteristic
1376#103C23×C8911yescharacteristic
1377#103C23×C8911yescharacteristic
1378#103C23×C8911yescharacteristic
1379#103C23×C8911yescharacteristic
1380#103C23×C8911yescharacteristic
1381#103C23×C8911yescharacteristic
1382#103C23×C8911yescharacteristic
1383#103C23×C8911yescharacteristic
1384#103C23×C8911yescharacteristic
1385#103C23×C8911yescharacteristic
1386#103C23×C8911yescharacteristic
1387#103C23×C8911yescharacteristic
1388#103C23×C8911yescharacteristic
1389#103C23×C8911yescharacteristic
1390#103C23×C8911yescharacteristic
1391#103C23×C8911yescharacteristic
1392#103C23×C8911yescharacteristic
1393#103C23×C8911yescharacteristic
1394#103C23×C8911yescharacteristic
1395#103C23×C8911yescharacteristic
1396#102C23×C8911yescharacteristic
1397#102C23×C8911yescharacteristic
1398#102C23×C8911yescharacteristic
1399#102C23×C8911yescharacteristic
1400#102C23×C8911yescharacteristic
1401#102C23×C8911yescharacteristic
1402#102C23×C8911yescharacteristic
1403#102C23×C8911yescharacteristic
1404#102C23×C8911yescharacteristic
1405#102C23×C8911yescharacteristic
1406#102C23×C8911yescharacteristic
1407#102C23×C8911yescharacteristic
1408C22⋊C8C23×C8911yescharacteristic
1409C22⋊C8C23×C8911yescharacteristic
1410C22⋊C8C23×C8911yescharacteristic
1411C22⋊C8C23×C8911yescharacteristic
1412C22⋊C8C23×C8911yescharacteristic
1413C22⋊C8C23×C8911yescharacteristic
1414C22⋊C8C23×C8911yescharacteristic
1415C22⋊C8C23×C8911yescharacteristic
1416C22⋊C8C23×C8911yescharacteristic
1417C22⋊C8C23×C8911yescharacteristic
1418C22⋊C8C23×C8911yescharacteristic
1419C22⋊C8C23×C8911yescharacteristic
1420#97C23×C8911yescharacteristic
1421#97C23×C8911yescharacteristic
1422C4×C8C23×C8911yescharacteristic
1423C4×C8C23×C8911yescharacteristic
1424C24—21no—
1425C24—21no—
1426C24C2×D4×C8911yescharacteristic
1427#41—22no—
1428#41—22no—
1429#41—22no—
1430#41—22no—
1431#41—22no—
1432#41—22no—
1433#41—41no—
1434#41—41no—
1435#41—41no—
1436#41—41no—
1437#41—41no—
1438#41—41no—
1439#41—41no—
1440#41—41no—
1441#41—44no—
1442#41—44no—
1443#41—41no—
1444#41—41no—
1445#41—41no—
1446#41—41no—
1447#41—44no—
1448#41—44no—
1449#41—44no—
1450C2×Q8—21no—
1451C2×Q8—21no—
1452C2×Q8—21no—
1453C2×Q8—21no—
1454C2×Q8—21no—
1455C2×Q8—21no—
1456C2×Q8—21no—
1457C2×Q8—22no—
1458C2×Q8—22no—
1459C2×Q8—22no—
1460C2×Q8—41no—
1461C2×Q8—41no—
1462C2×Q8—41no—
1463C2×Q8—41no—
1464C2×Q8—41no—
1465C2×Q8—44no—
1466C2×Q8—41no—
1467C2×Q8—41no—
1468C2×Q8C2×D4×C8911yescharacteristic
1469C2×Q8C24×C8911yescharacteristic
1470C2×Q8C24×C8911yescharacteristic
1471C2×Q8C24×C8911yescharacteristic
1472C2×Q8C24×C8911yescharacteristic
1473C2×Q8C24×C8911yescharacteristic
1474C2×Q8C24×C8911yescharacteristic
1475C2×D4—21no—
1476C2×D4—22no—
1477C2×D4—21no—
1478C2×D4—21no—
1479C2×D4—21no—
1480C2×D4—21no—
1481C2×D4—21no—
1482C2×D4—21no—
1483C2×D4—21no—
1484C2×D4—21no—
1485C2×D4—21no—
1486C2×D4—21no—
1487C2×D4—21no—
1488C2×D4—21no—
1489C2×D4—21no—
1490C2×D4—21no—
1491C2×D4—21no—
1492C2×D4—21no—
1493C2×D4—21no—
1494C2×D4—41no—
1495C2×D4—41no—
1496C2×D4—41no—
1497C2×D4—44no—
1498C2×D4C2×D4×C8911yescharacteristic
1499C2×D4C2×D4×C8911yescharacteristic
1500C2×D4C2×D4×C8911yescharacteristic
1501C2×D4C2×D4×C8911yescharacteristic
1502C2×D4C2×D4×C8911yescharacteristic
1503C2×D4C2×D4×C8911yescharacteristic
1504C2×D4C2×D4×C8911yescharacteristic
1505C2×D4C24×C8911yescharacteristic
1506C2×D4C24×C8911yescharacteristic
1507C2×D4C24×C8911yescharacteristic
1508C2×D4C24×C8911yescharacteristic
1509C22×C4—21no—
1510C22×C4—21no—
1511C22×C4—21no—
1512C22×C4—21no—
1513C22×C4—21no—
1514C22×C4—21no—
1515C22×C4—21no—
1516C22×C4—21no—
1517C22×C4—21no—
1518C22×C4—21no—
1519C22×C4—21no—
1520C22×C4—21no—
1521C22×C4—21no—
1522C22×C4—21no—
1523C22×C4—21no—
1524C22×C4—21no—
1525C22×C4—21no—
1526C22×C4—21no—
1527C22×C4—41no—
1528C22×C4—41no—
1529C22×C4—44no—
1530C22×C4C2×D4×C8911yescharacteristic
1531C22×C4C2×D4×C8911yescharacteristic
1532C22×C4C2×D4×C8911yescharacteristic
1533C22×C4C24×C8911yescharacteristic
1534C22×C4C24×C8911yescharacteristic
1535C22×C4C24×C8911yescharacteristic
1536C22×C4C24×C8911yescharacteristic
1537C22×C4C24×C8911yescharacteristic
1538Q16—22no—
1539Q16—22no—
1540Q16—41no—
1541Q16—41no—
1542Q16—41no—
1543Q16—41no—
1544Q16—41no—
1545Q16—41no—
1546SD16—22no—
1547SD16—22no—
1548SD16—22no—
1549SD16—22no—
1550SD16—41no—
1551SD16—41no—
1552SD16—41no—
1553SD16—41no—
1554SD16—41no—
1555SD16—41no—
1556SD16—41no—
1557SD16—41no—
1558D8—22no—
1559D8—22no—
1560D8—41no—
1561D8—41no—
1562M16—41no—
1563M16—41no—
1564M16—41no—
1565M16—41no—
1566C2×C8—41no—
1567C2×C8—41no—
1568C2×C8—41no—
1569C2×C8—41no—
1570C2×C8C24×C8911yescharacteristic
1571C2×C8C24×C8911yescharacteristic
1572C2×C8C24×C8911yescharacteristic
1573C2×C8C24×C8911yescharacteristic
1574C2×C8C24×C8911yescharacteristic
1575C2×C8C24×C8911yescharacteristic
1576C2×C8C24×C8911yescharacteristic
1577C2×C8C24×C8911yescharacteristic
1578C4⋊C4—21no—
1579C4⋊C4—21no—
1580C4⋊C4—21no—
1581C4⋊C4—21no—
1582C4⋊C4—21no—
1583C4⋊C4—21no—
1584C4⋊C4—21no—
1585C4⋊C4—21no—
1586C4⋊C4—21no—
1587C4⋊C4—21no—
1588C4⋊C4—21no—
1589C4⋊C4—21no—
1590C4⋊C4—21no—
1591C4⋊C4—21no—
1592C4⋊C4—21no—
1593C4⋊C4—21no—
1594C4⋊C4—21no—
1595C4⋊C4—21no—
1596C4⋊C4—21no—
1597C4⋊C4—21no—
1598C4⋊C4—21no—
1599C4⋊C4—21no—
1600C4⋊C4—21no—
1601C4⋊C4C2×D4×C8911yescharacteristic
1602C4⋊C4C2×D4×C8911yescharacteristic
1603C4⋊C4C2×D4×C8911yescharacteristic
1604C4⋊C4C2×D4×C8911yescharacteristic
1605C4⋊C4C2×D4×C8911yescharacteristic
1606C4⋊C4C2×D4×C8911yescharacteristic
1607C4⋊C4C24×C8911yescharacteristic
1608C4⋊C4C24×C8911yescharacteristic
1609C4⋊C4C24×C8911yescharacteristic
1610C4⋊C4C24×C8911yescharacteristic
1611C4⋊C4C24×C8911yescharacteristic
1612C4⋊C4C24×C8911yescharacteristic
1613C22⋊C4—21no—
1614C22⋊C4—21no—
1615C22⋊C4—21no—
1616C22⋊C4—21no—
1617C22⋊C4—21no—
1618C22⋊C4—21no—
1619C22⋊C4—21no—
1620C22⋊C4—21no—
1621C22⋊C4—21no—
1622C22⋊C4—21no—
1623C22⋊C4—21no—
1624C22⋊C4—21no—
1625C22⋊C4—21no—
1626C22⋊C4—21no—
1627C22⋊C4—21no—
1628C22⋊C4—21no—
1629C22⋊C4—21no—
1630C22⋊C4—21no—
1631C22⋊C4—21no—
1632C22⋊C4—21no—
1633C22⋊C4—21no—
1634C22⋊C4—21no—
1635C22⋊C4—21no—
1636C22⋊C4—21no—
1637C22⋊C4—21no—
1638C22⋊C4—21no—
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4—21no—
1642C22⋊C4—21no—
1643C22⋊C4—21no—
1644C22⋊C4—21no—
1645C22⋊C4—21no—
1646C22⋊C4—21no—
1647C22⋊C4—21no—
1648C22⋊C4—21no—
1649C22⋊C4C2×D4×C8911yescharacteristic
1650C22⋊C4C2×D4×C8911yescharacteristic
1651C22⋊C4C2×D4×C8911yescharacteristic
1652C22⋊C4C2×D4×C8911yescharacteristic
1653C22⋊C4C2×D4×C8911yescharacteristic
1654C22⋊C4C2×D4×C8911yescharacteristic
1655C22⋊C4C2×D4×C8911yescharacteristic
1656C22⋊C4C2×D4×C8911yescharacteristic
1657C22⋊C4C2×D4×C8911yescharacteristic
1658C22⋊C4C2×D4×C8911yescharacteristic
1659C42—21no—
1660C42—21no—
1661C42—21no—
1662C42—21no—
1663C42—21no—
1664C42—21no—
1665C42—21no—
1666C42—21no—
1667C42C24×C8911yescharacteristic
1668C42C24×C8911yescharacteristic
1669C23—21no—
1670C23—21no—
1671C23—21no—
1672C23—21no—
1673C23—41no—
1674C23—41no—
1675C23—41no—
1676C23—42no—
1677C23—42no—
1678C23—81no—
1679C23—81no—
1680C23—81no—
1681C23—81no—
1682C23C22×D4×C8911yescharacteristic
1683C23C22×D4×C8911yescharacteristic
1684C23C22×D4×C8911yescharacteristic
1685C23C22×D4×C8911yescharacteristic
1686C23C22×D4×C8911yescharacteristic
1687Q8—21no—
1688Q8—21no—
1689Q8—21no—
1690Q8—21no—
1691Q8—21no—
1692Q8—21no—
1693Q8—21no—
1694Q8—21no—
1695Q8—21no—
1696Q8—21no—
1697Q8—21no—
1698Q8—41no—
1699Q8—42no—
1700Q8—42no—
1701Q8—42no—
1702Q8—42no—
1703Q8—81no—
1704Q8—81no—
1705Q8—81no—
1706Q8H(5,𝔽2)×C8912yes—
1707D4—24no—
1708D4—21no—
1709D4—21no—
1710D4—21no—
1711D4—21no—
1712D4—21no—
1713D4—21no—
1714D4—21no—
1715D4—41no—
1716D4—41no—
1717D4—41no—
1718D4—41no—
1719D4—41no—
1720D4—41no—
1721D4—41no—
1722D4—42no—
1723D4—42no—
1724D4—42no—
1725D4—42no—
1726D4—42no—
1727D4—42no—
1728D4—81no—
1729D4—81no—
1730D4—81no—
1731D4—81no—
1732D4—81no—
1733D4—81no—
1734D4—81no—
1735D4—81no—
1736D4—81no—
1737D4—81no—
1738D4—81no—
1739D4H(5,𝔽2)×C8912yes—
1740C2×C4—24no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—41no—
1764C2×C4—41no—
1765C2×C4—41no—
1766C2×C4—42no—
1767C2×C4—42no—
1768C2×C4—42no—
1769C2×C4—42no—
1770C2×C4—42no—
1771C2×C4—42no—
1772C2×C4—42no—
1773C2×C4—42no—
1774C2×C4—42no—
1775C2×C4—81no—
1776C2×C4—81no—
1777C2×C4—81no—
1778C2×C4—81no—
1779C2×C4—81no—
1780C2×C4—81no—
1781C2×C4—81no—
1782C2×C4—81no—
1783C2×C4C22×D4×C8911yescharacteristic
1784C2×C4C22×D4×C8911yescharacteristic
1785C2×C4C22×D4×C8911yescharacteristic
1786C2×C4C22×D4×C8911yescharacteristic
1787C2×C4C22×D4×C8911yescharacteristic
1788C2×C4C22×D4×C8911yescharacteristic
1789C2×C4C22×D4×C8911yescharacteristic
1790C2×C4C22×D4×C8911yescharacteristic
1791C2×C4C22×D4×C8911yescharacteristic
1792C2×C4C25×C8911yescharacteristic
1793C8—21no—
1794C8—21no—
1795C8—21no—
1796C8—21no—
1797C8—21no—
1798C8—21no—
1799C8—21no—
1800C8—21no—
1801C22—21no—
1802C22—21no—
1803C22—21no—
1804C22—21no—
1805C22—21no—
1806C22—21no—
1807C22—21no—
1808C22—21no—
1809C22—21no—
1810C22—21no—
1811C22—21no—
1812C22—22no—
1813C22—21no—
1814C22—21no—
1815C22—21no—
1816C22—21no—
1817C22—41no—
1818C22—41no—
1819C22—41no—
1820C22—41no—
1821C22—41no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—82no—
1829C22—84no—
1830C22—162no—
1831C22C23×D4×C8911yescharacteristic
1832C4—21no—
1833C4—21no—
1834C4—21no—
1835C4—21no—
1836C4—21no—
1837C4—22no—
1838C4—21no—
1839C4—21no—
1840C4—21no—
1841C4—21no—
1842C4—41no—
1843C4—41no—
1844C4—41no—
1845C4—41no—
1846C4—41no—
1847C4—41no—
1848C4—41no—
1849C4—41no—
1850C4—41no—
1851C4—41no—
1852C4—41no—
1853C4C2×H(5,𝔽2)×C8911yescharacteristic
1854C4C2×H(5,𝔽2)×C8911yescharacteristic
1855C2—41no—
1856C2—41no—
1857C2—41no—
1858C2—41no—
1859C2—41no—
1860C2—42no—
1861C2—81no—
1862C2—81no—
1863C2—81no—
1864C2C89×#348411yescharacteristic
1865C2C89×#358411yescharacteristic
1866C2C89×#358611yescharacteristic
subgroupG/H
center, socleC22×C89C23×D4
commutator, Frattini, cosocleC2×C4C25×C89
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C89 ◁ #525×C89 ◁ G

Complements

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

NH ≅ G/Ntype
1. C89×#3540C2semidirect
2. C89×#3489C2semidirect
3. C89×#3329C2semidirect
4. C89×#3328C2semidirect
5. C89×#3321C2semidirect
6. C89×#3319C2semidirect
7. C89×#3313C2semidirect
8. C89×#3311C2semidirect
9. C89×#3303C2semidirect
10. C89×#3302C2semidirect
11. C89×#3285C2semidirect
12. C89×#3282C2semidirect
13. C89×#3275C2semidirect
14. C89×#3273C2semidirect
15. C89×#3270C2semidirect
16. C89×#3269C2semidirect
17. C89×#3267C2semidirect
18. C89×#3266C2semidirect
19. C89×#3225C2semidirect
20. C89×#3225C2semidirect
21. C89×#3201C2semidirect
22. C89×#3198C2semidirect
23. C89×#3196C2semidirect
24. C89×#3190C2semidirect
25. C89×#3125C2semidirect
26. C89×#3124C2semidirect
27. C89×#3011C2semidirect
28. C89×#3010C2semidirect
29. C89×#3005C2semidirect
30. C89×#3002C2semidirect
31. C89×#2976C2semidirect
33. C22×#41×C89C22semidirect
35. C2×#137×C89C22semidirect
37. C2×AGL(1,ℤ/8)×C89C22semidirect
40. C22×Q16×C89C22semidirect
41. C22×SD16×C89C22semidirect
46. #556×C89C22semidirect
48. #555×C89C22semidirect
51. D4×Q8×C89C22semidirect
54. #548×C89C22semidirect
55. #548×C89C22semidirect
59. #547×C89C22semidirect
64. #546×C89C22semidirect
65. #546×C89C22semidirect
68. #542×C89C22semidirect
69. #542×C89C22semidirect
75. #536×C89C22semidirect
76. #536×C89C22semidirect
77. #535×C89C22semidirect
83. C2×C22⋊Q8×C89C22semidirect
84. #520×C89C22semidirect
85. #497×C89C22semidirect
86. #497×C89C22semidirect
87. #495×C89C22semidirect
88. #495×C89C22semidirect
89. #489×C89C22semidirect
90. #489×C89C22semidirect
91. #487×C89C22semidirect
92. #487×C89C22semidirect
93. #485×C89C22semidirect
94. #485×C89C22semidirect
95. #485×C89C22semidirect
96. #485×C89C22semidirect
97. #485×C89C22semidirect
98. #485×C89C22semidirect
99. #484×C89C22semidirect
100. #483×C89C22semidirect
101. #482×C89C22semidirect
102. #482×C89C22semidirect
103. #481×C89C22semidirect
104. #480×C89C22semidirect
105. #477×C89C22semidirect
106. #476×C89C22semidirect
107. #475×C89C22semidirect
108. #474×C89C22semidirect
109. #470×C89C22semidirect
110. #470×C89C22semidirect
111. #470×C89C22semidirect
112. #469×C89C22semidirect
115. #468×C89C22semidirect
116. #468×C89C22semidirect
117. #467×C89C22semidirect
118. #467×C89C22semidirect
119. #467×C89C22semidirect
120. #466×C89C22semidirect
121. #465×C89C22semidirect
122. #465×C89C22semidirect
123. #465×C89C22semidirect
124. #465×C89C22semidirect
125. #464×C89C22semidirect
126. #464×C89C22semidirect
127. #464×C89C22semidirect
128. #464×C89C22semidirect
129. #463×C89C22semidirect
130. #463×C89C22semidirect
131. #463×C89C22semidirect
132. #463×C89C22semidirect
133. #462×C89C22semidirect
134. #462×C89C22semidirect
135. #461×C89C22semidirect
136. #461×C89C22semidirect
139. #452×C89C22semidirect
140. #452×C89C22semidirect
141. #452×C89C22semidirect
142. #452×C89C22semidirect
143. #452×C89C22semidirect
144. #452×C89C22semidirect
145. #452×C89C22semidirect
146. #452×C89C22semidirect
147. #452×C89C22semidirect
148. #452×C89C22semidirect
149. #451×C89C22semidirect
150. #451×C89C22semidirect
151. #451×C89C22semidirect
152. #451×C89C22semidirect
153. #451×C89C22semidirect
154. #451×C89C22semidirect
155. #450×C89C22semidirect
156. #450×C89C22semidirect
163. #449×C89C22semidirect
164. #449×C89C22semidirect
166. #448×C89C22semidirect
167. #448×C89C22semidirect
168. #448×C89C22semidirect
169. #448×C89C22semidirect
170. #448×C89C22semidirect
172. #447×C89C22semidirect
173. #442×C89C22semidirect
174. #441×C89C22semidirect
175. #440×C89C22semidirect
176. #440×C89C22semidirect
177. C4×Q16×C89C22semidirect
178. C4×SD16×C89C22semidirect
179. C4×SD16×C89C22semidirect
180. C4×D8×C89C22semidirect
182. #436×C89C22semidirect
184. #435×C89C22semidirect
185. #435×C89C22semidirect
186. #435×C89C22semidirect
187. C8×D4×C89C22semidirect
188. C8×D4×C89C22semidirect
189. #433×C89C22semidirect
190. #433×C89C22semidirect
191. #419×C89C22semidirect
192. #419×C89C22semidirect
193. #419×C89C22semidirect
194. #418×C89C22semidirect
195. #416×C89C22semidirect
196. #416×C89C22semidirect
197. #416×C89C22semidirect
198. #416×C89C22semidirect
199. #408×C89C22semidirect
200. #408×C89C22semidirect
201. #407×C89C22semidirect
202. C2×C22⋊C8×C89C22semidirect
921. #61627C89direct (N × H)
934. #3540C2×C89semidirect
935. #3489C2×C89semidirect
936. #3329C2×C89semidirect
937. #3328C2×C89semidirect
938. #3321C2×C89semidirect
939. #3319C2×C89semidirect
940. #3313C2×C89semidirect
941. #3311C2×C89semidirect
942. #3303C2×C89semidirect
943. #3302C2×C89semidirect
944. #3285C2×C89semidirect
945. #3282C2×C89semidirect
946. #3275C2×C89semidirect
947. #3273C2×C89semidirect
948. #3270C2×C89semidirect
949. #3269C2×C89semidirect
950. #3267C2×C89semidirect
951. #3266C2×C89semidirect
952. #3225C2×C89semidirect
953. #3225C2×C89semidirect
954. #3201C2×C89semidirect
955. #3198C2×C89semidirect
956. #3196C2×C89semidirect
957. #3190C2×C89semidirect
958. #3125C2×C89semidirect
959. #3124C2×C89semidirect
960. #3011C2×C89semidirect
961. #3010C2×C89semidirect
962. #3005C2×C89semidirect
963. #3002C2×C89semidirect
964. #2976C2×C89semidirect
965. C89#61627direct (N × H)
967. C22×#41C22×C89semidirect
969. C2×#137C22×C89semidirect
971. C2×AGL(1,ℤ/8)C22×C89semidirect
974. C22×Q16C22×C89semidirect
975. C22×SD16C22×C89semidirect
980. #556C22×C89semidirect
982. #555C22×C89semidirect
985. D4×Q8C22×C89semidirect
988. #548C22×C89semidirect
989. #548C22×C89semidirect
993. #547C22×C89semidirect
998. #546C22×C89semidirect
999. #546C22×C89semidirect
1002. #542C22×C89semidirect
1003. #542C22×C89semidirect
1009. #536C22×C89semidirect
1010. #536C22×C89semidirect
1011. #535C22×C89semidirect
1017. C2×C22⋊Q8C22×C89semidirect
1018. #520C22×C89semidirect
1019. #497C22×C89semidirect
1020. #497C22×C89semidirect
1021. #495C22×C89semidirect
1022. #495C22×C89semidirect
1023. #489C22×C89semidirect
1024. #489C22×C89semidirect
1025. #487C22×C89semidirect
1026. #487C22×C89semidirect
1027. #485C22×C89semidirect
1028. #485C22×C89semidirect
1029. #485C22×C89semidirect
1030. #485C22×C89semidirect
1031. #485C22×C89semidirect
1032. #485C22×C89semidirect
1033. #484C22×C89semidirect
1034. #483C22×C89semidirect
1035. #482C22×C89semidirect
1036. #482C22×C89semidirect
1037. #481C22×C89semidirect
1038. #480C22×C89semidirect
1039. #477C22×C89semidirect
1040. #476C22×C89semidirect
1041. #475C22×C89semidirect
1042. #474C22×C89semidirect
1043. #470C22×C89semidirect
1044. #470C22×C89semidirect
1045. #470C22×C89semidirect
1046. #469C22×C89semidirect
1049. #468C22×C89semidirect
1050. #468C22×C89semidirect
1051. #467C22×C89semidirect
1052. #467C22×C89semidirect
1053. #467C22×C89semidirect
1054. #466C22×C89semidirect
1055. #465C22×C89semidirect
1056. #465C22×C89semidirect
1057. #465C22×C89semidirect
1058. #465C22×C89semidirect
1059. #464C22×C89semidirect
1060. #464C22×C89semidirect
1061. #464C22×C89semidirect
1062. #464C22×C89semidirect
1063. #463C22×C89semidirect
1064. #463C22×C89semidirect
1065. #463C22×C89semidirect
1066. #463C22×C89semidirect
1067. #462C22×C89semidirect
1068. #462C22×C89semidirect
1069. #461C22×C89semidirect
1070. #461C22×C89semidirect
1073. #452C22×C89semidirect
1074. #452C22×C89semidirect
1075. #452C22×C89semidirect
1076. #452C22×C89semidirect
1077. #452C22×C89semidirect
1078. #452C22×C89semidirect
1079. #452C22×C89semidirect
1080. #452C22×C89semidirect
1081. #452C22×C89semidirect
1082. #452C22×C89semidirect
1083. #451C22×C89semidirect
1084. #451C22×C89semidirect
1085. #451C22×C89semidirect
1086. #451C22×C89semidirect
1087. #451C22×C89semidirect
1088. #451C22×C89semidirect
1089. #450C22×C89semidirect
1090. #450C22×C89semidirect
1097. #449C22×C89semidirect
1098. #449C22×C89semidirect
1100. #448C22×C89semidirect
1101. #448C22×C89semidirect
1102. #448C22×C89semidirect
1103. #448C22×C89semidirect
1104. #448C22×C89semidirect
1106. #447C22×C89semidirect
1107. #442C22×C89semidirect
1108. #441C22×C89semidirect
1109. #440C22×C89semidirect
1110. #440C22×C89semidirect
1111. C4×Q16C22×C89semidirect
1112. C4×SD16C22×C89semidirect
1113. C4×SD16C22×C89semidirect
1114. C4×D8C22×C89semidirect
1116. #436C22×C89semidirect
1118. #435C22×C89semidirect
1119. #435C22×C89semidirect
1120. #435C22×C89semidirect
1121. C8×D4C22×C89semidirect
1122. C8×D4C22×C89semidirect
1123. #433C22×C89semidirect
1124. #433C22×C89semidirect
1125. #419C22×C89semidirect
1126. #419C22×C89semidirect
1127. #419C22×C89semidirect
1128. #418C22×C89semidirect
1129. #416C22×C89semidirect
1130. #416C22×C89semidirect
1131. #416C22×C89semidirect
1132. #416C22×C89semidirect
1133. #408C22×C89semidirect
1134. #408C22×C89semidirect
1135. #407C22×C89semidirect
1136. C2×C22⋊C8C22×C89semidirect

Maximal subgroups

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

subgroupindex
C89×#35402
C89×#34892
C89×#33292
C89×#33282
C89×#33212
C89×#33192
C89×#33132
C89×#33112
C89×#33032
C89×#33022
C89×#32852
C89×#32822
C89×#32752
C89×#32732
C89×#32702
C89×#32692
C89×#32672
C89×#32662
C89×#32252
C89×#32012
C89×#31982
C89×#31962
C89×#31902
C89×#31252
C89×#31242
C89×#30112
C89×#30102
C89×#30052
C89×#30022
C89×#29762
#6162789