Finite Group Databasebeta

← C89×#61611 #36439459

Subgroups — C89×#61611 #36439459

Order 22784.

2086 conjugacy classes of subgroups.

The subgroup lattice has 1882 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C89×#3542C211yesmaximal, characteristic, complemented
2C89×#3486C211yesmaximal, characteristic, complemented
3C89×#3329C211yesmaximal, characteristic, complemented
4C89×#3326C211yesmaximal, characteristic, complemented
5C89×#3321C211yesmaximal, characteristic, complemented
6C89×#3320C211yesmaximal, characteristic, complemented
7C89×#3312C211yesmaximal, characteristic, complemented
8C89×#3308C211yesmaximal, characteristic, complemented
9C89×#3300C211yesmaximal, characteristic, complemented
10C89×#3298C211yesmaximal, characteristic, complemented
11C89×#3282C211yesmaximal, characteristic, complemented
12D4×SD16×C89C211yesmaximal, characteristic, complemented
13C89×#3278C211yesmaximal, characteristic, complemented
14C89×#3275C211yesmaximal, characteristic, complemented
15C89×#3271C211yesmaximal, characteristic, complemented
16C89×#3266C211yesmaximal, characteristic, complemented
17C89×#3266C211yesmaximal, characteristic, complemented
18C89×#3265C211yesmaximal, characteristic, complemented
19C89×#3225C211yesmaximal, characteristic, complemented
20C89×#3221C211yesmaximal, characteristic, complemented
21C89×#3201C211yesmaximal, characteristic, complemented
22C89×#3200C211yesmaximal, characteristic, complemented
23C89×#3194C211yesmaximal, characteristic, complemented
24C89×#3191C211yesmaximal, characteristic, complemented
25C89×#3126C211yesmaximal, characteristic, complemented
26C89×#3121C211yesmaximal, characteristic, complemented
27C89×#3013C211yesmaximal, characteristic, complemented
28C89×#3010C211yesmaximal, characteristic, complemented
29C89×#3004C211yesmaximal, characteristic, complemented
30C2×#448×C89C211yesmaximal, characteristic, complemented
31C89×#2976C211yesmaximal, characteristic, complemented
32C2×2−1+4×C89C2211yescharacteristic, complemented
33C23×Q8×C89C2211yescharacteristic, complemented
34C2×#137×C89C2211yescharacteristic, complemented
35C2×#137×C89C2211yescharacteristic, complemented
36C2×#137×C89C2211yescharacteristic, complemented
37C2×AGL(1,ℤ/8)×C89C2211yescharacteristic, complemented
38C2×#135×C89C2211yescharacteristic, complemented
39C22×SD16×C89C2211yescharacteristic
40C22×SD16×C89C2211yescharacteristic
41C22×SD16×C89C2211yescharacteristic, complemented
42#562×C89—21no—
43#560×C89—21no—
44#555×C89C2211yescharacteristic
45#553×C89C2211yescharacteristic
46#552×C89C2211yescharacteristic
47#551×C89—21no—
48#550×C89C2211yescharacteristic
49D4×Q8×C89—21no—
50D4×Q8×C89—21no—
51D4×Q8×C89C2211yescharacteristic
52D4×Q8×C89C2211yescharacteristic, complemented
53D4×Q8×C89C2211yescharacteristic, complemented
54D4×Q8×C89C2211yescharacteristic, complemented
55#548×C89—21no—
56#548×C89—21no—
57#548×C89C2211yescharacteristic
58#548×C89C2211yescharacteristic, complemented
59#548×C89C2211yescharacteristic, complemented
60#548×C89C2211yescharacteristic, complemented
61#547×C89C2211yescharacteristic
62#546×C89—21no—
63#546×C89C2211yescharacteristic
64#546×C89C2211yescharacteristic
65D42×C89C2211yescharacteristic
66#542×C89C2211yescharacteristic
67#540×C89—21no—
68#540×C89C2211yescharacteristic
69#538×C89—21no—
70#537×C89C2211yescharacteristic
71#536×C89—21no—
72#536×C89—21no—
73#536×C89C2211yescharacteristic, complemented
74#536×C89C2211yescharacteristic, complemented
75#535×C89—21no—
76#535×C89C2211yescharacteristic
77#534×C89—21no—
78#525×C89—21no—
79#525×C89—21no—
80#525×C89C2211yescharacteristic
81#525×C89C2211yescharacteristic
82#525×C89C2211yescharacteristic, complemented
83C2×#121×C89C2211yescharacteristic
84#519×C89C2211yescharacteristic, complemented
85#497×C89C2211yescharacteristic, complemented
86#496×C89C2211yescharacteristic, complemented
87#495×C89C2211yescharacteristic, complemented
88#492×C89C2211yescharacteristic, complemented
89#491×C89C2211yescharacteristic, complemented
90#489×C89C2211yescharacteristic, complemented
91#488×C89C2211yescharacteristic, complemented
92#487×C89C2211yescharacteristic, complemented
93#485×C89C2211yescharacteristic, complemented
94#485×C89C2211yescharacteristic, complemented
95#485×C89C2211yescharacteristic, complemented
96#485×C89C2211yescharacteristic, complemented
97#484×C89C2211yescharacteristic, complemented
98#483×C89C2211yescharacteristic, complemented
99#483×C89C2211yescharacteristic, complemented
100#482×C89C2211yescharacteristic
101#482×C89C2211yescharacteristic, complemented
102#482×C89C2211yescharacteristic, complemented
103#482×C89C2211yescharacteristic, complemented
104#480×C89C2211yescharacteristic, complemented
105#479×C89C2211yescharacteristic, complemented
106#479×C89C2211yescharacteristic, complemented
107#477×C89C2211yescharacteristic, complemented
108#475×C89C2211yescharacteristic, complemented
109#470×C89C2211yescharacteristic, complemented
110#469×C89C2211yescharacteristic
111#469×C89C2211yescharacteristic, complemented
112#468×C89C2211yescharacteristic
113#468×C89C2211yescharacteristic, complemented
114#468×C89C2211yescharacteristic, complemented
115#468×C89C2211yescharacteristic, complemented
116#468×C89C2211yescharacteristic, complemented
117#467×C89C2211yescharacteristic, complemented
118#467×C89C2211yescharacteristic, complemented
119#466×C89C2211yescharacteristic
120#465×C89C2211yescharacteristic
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#463×C89C2211yescharacteristic, complemented
129#463×C89C2211yescharacteristic, complemented
130#463×C89C2211yescharacteristic, complemented
131#462×C89C2211yescharacteristic, complemented
132#461×C89C2211yescharacteristic, complemented
133#461×C89C2211yescharacteristic, complemented
134#461×C89C2211yescharacteristic, complemented
135#460×C89C2211yescharacteristic, complemented
136#460×C89C2211yescharacteristic, complemented
137#452×C89C2211yescharacteristic, complemented
138#452×C89C2211yescharacteristic, complemented
139#452×C89C2211yescharacteristic, complemented
140#452×C89C2211yescharacteristic, complemented
141#452×C89C2211yescharacteristic, complemented
142#451×C89C2211yescharacteristic, complemented
143#451×C89C2211yescharacteristic, complemented
144#451×C89C2211yescharacteristic, complemented
145#451×C89C2211yescharacteristic, complemented
146#451×C89C2211yescharacteristic, complemented
147#450×C89C2211yescharacteristic
148#450×C89C2211yescharacteristic, complemented
149#450×C89C2211yescharacteristic, complemented
150#449×C89C2211yescharacteristic
151#449×C89C2211yescharacteristic, complemented
152#449×C89C2211yescharacteristic, complemented
153#449×C89C2211yescharacteristic, complemented
154#449×C89C2211yescharacteristic, complemented
155#449×C89C2211yescharacteristic, complemented
156#449×C89C2211yescharacteristic, complemented
157#448×C89C2211yescharacteristic
158#448×C89C2211yescharacteristic
159#448×C89C2211yescharacteristic
160#448×C89C2211yescharacteristic
161#448×C89C2211yescharacteristic
162#448×C89C2211yescharacteristic
163#448×C89C2211yescharacteristic, complemented
164#448×C89C2211yescharacteristic, complemented
165#448×C89C2211yescharacteristic, complemented
166#448×C89C2211yescharacteristic, complemented
167#448×C89C2211yescharacteristic, complemented
168#448×C89C2211yescharacteristic, complemented
169#448×C89C2211yescharacteristic, complemented
170#448×C89C2211yescharacteristic, complemented
171#448×C89C2211yescharacteristic, complemented
172#447×C89C2211yescharacteristic
173#441×C89C2211yescharacteristic, complemented
174#440×C89C2211yescharacteristic, complemented
175#440×C89C2211yescharacteristic, complemented
176#440×C89C2211yescharacteristic, complemented
177C4×Q16×C89C2211yescharacteristic, complemented
178C4×SD16×C89C2211yescharacteristic, complemented
179C4×SD16×C89C2211yescharacteristic, complemented
180C4×SD16×C89C2211yescharacteristic, complemented
181#436×C89C2211yescharacteristic, complemented
182#436×C89C2211yescharacteristic, complemented
183#435×C89C2211yescharacteristic
184#435×C89C2211yescharacteristic, complemented
185#435×C89C2211yescharacteristic, complemented
186#435×C89C2211yescharacteristic, complemented
187C8×D4×C89C2211yescharacteristic
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#417×C89C2211yescharacteristic, complemented
195#416×C89C2211yescharacteristic, complemented
196C2×#103×C89C2211yescharacteristic, complemented
197C2×#103×C89C2211yescharacteristic, complemented
198C2×#103×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×C89C2311yescharacteristic
210C2×#41×C89C2311yescharacteristic
211C2×#41×C89C2311yescharacteristic
212C2×#41×C89C2311yescharacteristic
213C2×#41×C89C2311yescharacteristic
214C2×#41×C89C2311yescharacteristic
215C22×Q8×C89—21no—
216C22×Q8×C89—21no—
217C22×Q8×C89—21no—
218C22×Q8×C89—21no—
219C22×Q8×C89—42no—
220C22×Q8×C89—42no—
221C22×Q8×C89C2311yescharacteristic
222C22×Q8×C89C2311yescharacteristic
223C22×Q8×C89C2311yescharacteristic
224C22×Q8×C89C2311yescharacteristic
225C22×Q8×C89C2311yescharacteristic
226C22×Q8×C89C2311yescharacteristic
227C22×Q8×C89C2311yescharacteristic
228C22×Q8×C89C2311yescharacteristic
229C22×D4×C89—21no—
230C22×D4×C89—21no—
231C22×D4×C89C2311yescharacteristic
232C22×D4×C89C2311yescharacteristic
233C23×C4×C89—21no—
234C23×C4×C89C2311yescharacteristic
235#137×C89—42no—
236#137×C89—42no—
237#137×C89—42no—
238AGL(1,ℤ/8)×C89—42no—
239#135×C89—42no—
240C2×Q16×C89C2311yescharacteristic
241C2×Q16×C89C2311yescharacteristic
242C2×Q16×C89C2311yescharacteristic
243C2×Q16×C89C2311yescharacteristic
244C2×Q16×C89C2311yescharacteristic
245C2×SD16×C89—42no—
246C2×SD16×C89—42no—
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×SD16×C89C2311yescharacteristic
261C2×SD16×C89C2311yescharacteristic
262C2×SD16×C89C2311yescharacteristic
263C2×SD16×C89C2311yescharacteristic
264C2×D8×C89C2311yescharacteristic
265C2×D8×C89C2311yescharacteristic
266C2×D8×C89C2311yescharacteristic
267C2×M16×C89C2311yescharacteristic
268C2×M16×C89C2311yescharacteristic
269C2×M16×C89C2311yescharacteristic
270C2×M16×C89C2311yescharacteristic
271C22×C8×C89C2311yescharacteristic
272C22×C8×C89C2311yescharacteristic
273C22×C8×C89C2311yescharacteristic
274C22×C8×C89C2311yescharacteristic
275C4⋊Q8×C89—21no—
276C4⋊Q8×C89—21no—
277C4⋊Q8×C89—21no—
278C4⋊Q8×C89—21no—
279C4⋊Q8×C89—21no—
280C4⋊Q8×C89C2311yescharacteristic
281C4⋊Q8×C89C2311yescharacteristic
282C4⋊Q8×C89C2311yescharacteristic
283#127×C89—21no—
284#127×C89—21no—
285#127×C89C2311yescharacteristic
286#126×C89—21no—
287#126×C89—21no—
288#126×C89—21no—
289#125×C89—21no—
290#125×C89C2311yescharacteristic
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#123×C89—21no—
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×C89D411yescharacteristic
319#123×C89D411yescharacteristic
320C22⋊Q8×C89—21no—
321C22⋊Q8×C89—21no—
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
348#121×C89—21no—
349#121×C89—21no—
350#121×C89—21no—
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#121×C89C2311yescharacteristic
377#121×C89C2311yescharacteristic
378#121×C89C2311yescharacteristic
379#120×C89—21no—
380#120×C89—21no—
381#120×C89—21no—
382#120×C89—21no—
383#120×C89—21no—
384#120×C89—21no—
385#120×C89—21no—
386#120×C89—21no—
387#120×C89D411yescharacteristic
388#120×C89D411yescharacteristic
389C4×Q8×C89—21no—
390C4×Q8×C89—21no—
391C4×Q8×C89C2311yescharacteristic
392C4×Q8×C89C2311yescharacteristic
393C4×Q8×C89C2311yescharacteristic
394C4×Q8×C89C2311yescharacteristic
395C4×Q8×C89C2311yescharacteristic
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×C89—21no—
405C4×D4×C89—21no—
406C4×D4×C89—21no—
407C4×D4×C89—21no—
408C4×D4×C89—21no—
409C4×D4×C89—21no—
410C4×D4×C89C2311yescharacteristic
411C4×D4×C89C2311yescharacteristic
412C4×D4×C89C2311yescharacteristic
413C4×D4×C89C2311yescharacteristic
414C4×D4×C89C2311yescharacteristic
415C4×D4×C89C2311yescharacteristic
416C4×D4×C89C2311yescharacteristic
417#117×C89—21no—
418#117×C89—21no—
419#117×C89—21no—
420#117×C89—21no—
421#117×C89C2311yescharacteristic
422#117×C89C2311yescharacteristic
423#117×C89C2311yescharacteristic
424#117×C89C2311yescharacteristic
425C2×C4⋊C4×C89C2311yescharacteristic
426C2×C4⋊C4×C89C2311yescharacteristic
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#103×C89C2311yescharacteristic
463#103×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—41no—
496#41×C89—41no—
497#41×C89—41no—
498#41×C89—41no—
499#41×C89—41no—
500#41×C89—41no—
501#41×C89—44no—
502#41×C89—44no—
503#41×C89—41no—
504#41×C89—41no—
505#41×C89—41no—
506#41×C89—41no—
507#41×C89—44no—
508#41×C89—82no—
509C2×Q8×C89—22no—
510C2×Q8×C89—22no—
511C2×Q8×C89—21no—
512C2×Q8×C89—21no—
513C2×Q8×C89—21no—
514C2×Q8×C89—21no—
515C2×Q8×C89—21no—
516C2×Q8×C89—21no—
517C2×Q8×C89—21no—
518C2×Q8×C89—21no—
519C2×Q8×C89—21no—
520C2×Q8×C89—22no—
521C2×Q8×C89—22no—
522C2×Q8×C89—22no—
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—41no—
532C2×Q8×C89—41no—
533C2×Q8×C89—41no—
534C2×Q8×C89—44no—
535C2×Q8×C89—44no—
536C2×Q8×C89—44no—
537C2×Q8×C89—44no—
538C2×Q8×C89C2×D411yescharacteristic
539C2×Q8×C89C2411yescharacteristic
540C2×Q8×C89C2411yescharacteristic
541C2×Q8×C89C2411yescharacteristic
542C2×Q8×C89C2411yescharacteristic
543C2×Q8×C89C2411yescharacteristic
544C2×Q8×C89C2411yescharacteristic
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—21no—
561C2×D4×C89—21no—
562C2×D4×C89—21no—
563C2×D4×C89—21no—
564C2×D4×C89—21no—
565C2×D4×C89—41no—
566C2×D4×C89—41no—
567C2×D4×C89—41no—
568C2×D4×C89—41no—
569C2×D4×C89—82no—
570C2×D4×C89—82no—
571C2×D4×C89C2×D411yescharacteristic
572C2×D4×C89C2×D411yescharacteristic
573C2×D4×C89C2×D411yescharacteristic
574C2×D4×C89C2×D411yescharacteristic
575C2×D4×C89C2×D411yescharacteristic
576C2×D4×C89C2×D411yescharacteristic
577C2×D4×C89C2×D411yescharacteristic
578C2×D4×C89C2411yescharacteristic
579C2×D4×C89C2411yescharacteristic
580C2×D4×C89C2411yescharacteristic
581C2×D4×C89C2411yescharacteristic
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—21no—
594C22×C4×C89—21no—
595C22×C4×C89—21no—
596C22×C4×C89—21no—
597C22×C4×C89—21no—
598C22×C4×C89—21no—
599C22×C4×C89—21no—
600C22×C4×C89—41no—
601C22×C4×C89—41no—
602C22×C4×C89—44no—
603C22×C4×C89C2×D411yescharacteristic
604C22×C4×C89C2×D411yescharacteristic
605C22×C4×C89C2×D411yescharacteristic
606C22×C4×C89C2411yescharacteristic
607C22×C4×C89C2411yescharacteristic
608C22×C4×C89C2411yescharacteristic
609C22×C4×C89C2411yescharacteristic
610C22×C4×C89C2411yescharacteristic
611Q16×C89—22no—
612Q16×C89—22no—
613Q16×C89—41no—
614Q16×C89—41no—
615Q16×C89—41no—
616SD16×C89—22no—
617SD16×C89—22no—
618SD16×C89—22no—
619SD16×C89—22no—
620SD16×C89—22no—
621SD16×C89—22no—
622SD16×C89—41no—
623SD16×C89—41no—
624SD16×C89—41no—
625SD16×C89—41no—
626SD16×C89—41no—
627SD16×C89—41no—
628SD16×C89—41no—
629SD16×C89—41no—
630SD16×C89—41no—
631SD16×C89—41no—
632D8×C89—41no—
633D8×C89—41no—
634D8×C89—41no—
635M16×C89—41no—
636M16×C89—41no—
637M16×C89—41no—
638M16×C89—41no—
639C2×C8×C89—41no—
640C2×C8×C89—41no—
641C2×C8×C89—41no—
642C2×C8×C89—41no—
643C2×C8×C89C2411yescharacteristic
644C2×C8×C89C2411yescharacteristic
645C2×C8×C89C2411yescharacteristic
646C2×C8×C89C2411yescharacteristic
647C2×C8×C89C2411yescharacteristic
648C2×C8×C89C2411yescharacteristic
649C2×C8×C89C2411yescharacteristic
650C2×C8×C89C2411yescharacteristic
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×C89—21no—
668C4⋊C4×C89—21no—
669C4⋊C4×C89—21no—
670C4⋊C4×C89—21no—
671C4⋊C4×C89—21no—
672C4⋊C4×C89—21no—
673C4⋊C4×C89—21no—
674C4⋊C4×C89C2×D411yescharacteristic
675C4⋊C4×C89C2×D411yescharacteristic
676C4⋊C4×C89C2×D411yescharacteristic
677C4⋊C4×C89C2×D411yescharacteristic
678C4⋊C4×C89C2×D411yescharacteristic
679C4⋊C4×C89C2×D411yescharacteristic
680C4⋊C4×C89C2411yescharacteristic
681C4⋊C4×C89C2411yescharacteristic
682C4⋊C4×C89C2411yescharacteristic
683C4⋊C4×C89C2411yescharacteristic
684C4⋊C4×C89C2411yescharacteristic
685C4⋊C4×C89C2411yescharacteristic
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×C89—21no—
716C22⋊C4×C89—21no—
717C22⋊C4×C89—21no—
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
725C22⋊C4×C89C2×D411yescharacteristic
726C22⋊C4×C89C2×D411yescharacteristic
727C22⋊C4×C89C2×D411yescharacteristic
728C42×C89—21no—
729C42×C89—21no—
730C42×C89—21no—
731C42×C89—21no—
732C42×C89—21no—
733C42×C89—21no—
734C42×C89—21no—
735C42×C89—21no—
736C42×C89C2411yescharacteristic
737C42×C89C2411yescharacteristic
738C23×C89—22no—
739C23×C89—21no—
740C23×C89—21no—
741C23×C89—21no—
742C23×C89—21no—
743C23×C89—41no—
744C23×C89—41no—
745C23×C89—42no—
746C23×C89—81no—
747C23×C89—81no—
748C23×C89—81no—
749C23×C89—81no—
750C23×C89—81no—
751C23×C89C22×D411yescharacteristic
752C23×C89C22×D411yescharacteristic
753C23×C89C22×D411yescharacteristic
754C23×C89C22×D411yescharacteristic
755C23×C89C22×D411yescharacteristic
756Q8×C89—24no—
757Q8×C89—21no—
758Q8×C89—21no—
759Q8×C89—21no—
760Q8×C89—21no—
761Q8×C89—21no—
762Q8×C89—21no—
763Q8×C89—21no—
764Q8×C89—21no—
765Q8×C89—21no—
766Q8×C89—21no—
767Q8×C89—41no—
768Q8×C89—42no—
769Q8×C89—42no—
770Q8×C89—42no—
771Q8×C89—42no—
772Q8×C89—42no—
773Q8×C89—42no—
774Q8×C89—42no—
775Q8×C89—81no—
776Q8×C89H(5,𝔽2)12yes—
777Q8×C89H(5,𝔽2)12yes—
778D4×C89—22no—
779D4×C89—22no—
780D4×C89—21no—
781D4×C89—21no—
782D4×C89—21no—
783D4×C89—21no—
784D4×C89—21no—
785D4×C89—21no—
786D4×C89—21no—
787D4×C89—21no—
788D4×C89—41no—
789D4×C89—41no—
790D4×C89—41no—
791D4×C89—41no—
792D4×C89—41no—
793D4×C89—42no—
794D4×C89—42no—
795D4×C89—42no—
796D4×C89—42no—
797D4×C89—42no—
798D4×C89—42no—
799D4×C89—81no—
800D4×C89—81no—
801D4×C89—81no—
802D4×C89—81no—
803D4×C89—81no—
804D4×C89—81no—
805D4×C89—81no—
806D4×C89—81no—
807D4×C89—81no—
808D4×C89—81no—
809D4×C89—81no—
810D4×C89—81no—
811D4×C89—81no—
812D4×C89—81no—
813C2×C4×C89—24no—
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—21no—
830C2×C4×C89—21no—
831C2×C4×C89—21no—
832C2×C4×C89—21no—
833C2×C4×C89—21no—
834C2×C4×C89—21no—
835C2×C4×C89—21no—
836C2×C4×C89—41no—
837C2×C4×C89—41no—
838C2×C4×C89—41no—
839C2×C4×C89—42no—
840C2×C4×C89—42no—
841C2×C4×C89—42no—
842C2×C4×C89—42no—
843C2×C4×C89—42no—
844C2×C4×C89—42no—
845C2×C4×C89—42no—
846C2×C4×C89—42no—
847C2×C4×C89—42no—
848C2×C4×C89—42no—
849C2×C4×C89—42no—
850C2×C4×C89—81no—
851C2×C4×C89—81no—
852C2×C4×C89—81no—
853C2×C4×C89—81no—
854C2×C4×C89—81no—
855C2×C4×C89—81no—
856C2×C4×C89C22×D411yescharacteristic
857C2×C4×C89C22×D411yescharacteristic
858C2×C4×C89C22×D411yescharacteristic
859C2×C4×C89C22×D411yescharacteristic
860C2×C4×C89C22×D411yescharacteristic
861C2×C4×C89C22×D411yescharacteristic
862C2×C4×C89C22×D411yescharacteristic
863C2×C4×C89C22×D411yescharacteristic
864C2×C4×C89C22×D411yescharacteristic
865C2×C4×C89C2511yescharacteristic
866C8×C89—21no—
867C8×C89—21no—
868C8×C89—21no—
869C8×C89—21no—
870C8×C89—21no—
871C8×C89—21no—
872C8×C89—21no—
873C8×C89—21no—
874C22×C89—21no—
875C22×C89—21no—
876C22×C89—21no—
877C22×C89—21no—
878C22×C89—21no—
879C22×C89—21no—
880C22×C89—21no—
881C22×C89—21no—
882C22×C89—21no—
883C22×C89—21no—
884C22×C89—21no—
885C22×C89—21no—
886C22×C89—21no—
887C22×C89—21no—
888C22×C89—44no—
889C22×C89—41no—
890C22×C89—41no—
891C22×C89—41no—
892C22×C89—41no—
893C22×C89—41no—
894C22×C89—41no—
895C22×C89—41no—
896C22×C89—41no—
897C22×C89—41no—
898C22×C89—41no—
899C22×C89—41no—
900C22×C89—41no—
901C22×C89—162no—
902C22×C89—162no—
903C22×C89#57712yes—
904C22×C89C23×D411yescharacteristic
905C4×C89—21no—
906C4×C89—21no—
907C4×C89—22no—
908C4×C89—22no—
909C4×C89—21no—
910C4×C89—21no—
911C4×C89—21no—
912C4×C89—21no—
913C4×C89—21no—
914C4×C89—21no—
915C4×C89—21no—
916C4×C89—41no—
917C4×C89—41no—
918C4×C89—41no—
919C4×C89—41no—
920C4×C89—41no—
921C4×C89—41no—
922C4×C89—41no—
923C4×C89—41no—
924C4×C89—41no—
925C4×C89—41no—
926C4×C89C2×H(5,𝔽2)11yescharacteristic
927C4×C89C2×H(5,𝔽2)11yescharacteristic
928#61611C8911yesmaximal, characteristic, direct product factor, Sylow
929C2×C89—22no—
930C2×C89—41no—
931C2×C89—41no—
932C2×C89—41no—
933C2×C89—41no—
934C2×C89—81no—
935C2×C89—81no—
936C2×C89—81no—
937C2×C89—81no—
938C2×C89#348411yescharacteristic
939C2×C89C2×#57711yescharacteristic
940C2×C89#358611yescharacteristic
941#3542C2×C8911yescharacteristic, complemented
942#3486C2×C8911yescharacteristic, complemented
943#3329C2×C8911yescharacteristic, complemented
944#3326C2×C8911yescharacteristic, complemented
945#3321C2×C8911yescharacteristic, complemented
946#3320C2×C8911yescharacteristic, complemented
947#3312C2×C8911yescharacteristic, complemented
948#3308C2×C8911yescharacteristic, complemented
949#3300C2×C8911yescharacteristic, complemented
950#3298C2×C8911yescharacteristic, complemented
951#3282C2×C8911yescharacteristic, complemented
952D4×SD16C2×C8911yescharacteristic, complemented
953#3278C2×C8911yescharacteristic, complemented
954#3275C2×C8911yescharacteristic, complemented
955#3271C2×C8911yescharacteristic, complemented
956#3266C2×C8911yescharacteristic, complemented
957#3266C2×C8911yescharacteristic, complemented
958#3265C2×C8911yescharacteristic, complemented
959#3225C2×C8911yescharacteristic, complemented
960#3221C2×C8911yescharacteristic, complemented
961#3201C2×C8911yescharacteristic, complemented
962#3200C2×C8911yescharacteristic, complemented
963#3194C2×C8911yescharacteristic, complemented
964#3191C2×C8911yescharacteristic, complemented
965#3126C2×C8911yescharacteristic, complemented
966#3121C2×C8911yescharacteristic, complemented
967#3013C2×C8911yescharacteristic, complemented
968#3010C2×C8911yescharacteristic, complemented
969#3004C2×C8911yescharacteristic, complemented
970C2×#448C2×C8911yescharacteristic, complemented
971#2976C2×C8911yescharacteristic, complemented
972C89#6161111yescharacteristic, direct product factor, Sylow
973C2×2−1+4C22×C8911yescharacteristic, complemented
974C23×Q8C22×C8911yescharacteristic, complemented
975C2×#137C22×C8911yescharacteristic, complemented
976C2×#137C22×C8911yescharacteristic, complemented
977C2×#137C22×C8911yescharacteristic, complemented
978C2×AGL(1,ℤ/8)C22×C8911yescharacteristic, complemented
979C2×#135C22×C8911yescharacteristic, complemented
980C22×SD16C22×C8911yescharacteristic
981C22×SD16C22×C8911yescharacteristic
982C22×SD16C22×C8911yescharacteristic, complemented
983#562—21no—
984#560—21no—
985#555C22×C8911yescharacteristic
986#553C22×C8911yescharacteristic
987#552C22×C8911yescharacteristic
988#551—21no—
989#550C22×C8911yescharacteristic
990D4×Q8—21no—
991D4×Q8—21no—
992D4×Q8C22×C8911yescharacteristic
993D4×Q8C22×C8911yescharacteristic, complemented
994D4×Q8C22×C8911yescharacteristic, complemented
995D4×Q8C22×C8911yescharacteristic, complemented
996#548—21no—
997#548—21no—
998#548C22×C8911yescharacteristic
999#548C22×C8911yescharacteristic, complemented
1000#548C22×C8911yescharacteristic, complemented
1001#548C22×C8911yescharacteristic, complemented
1002#547C22×C8911yescharacteristic
1003#546—21no—
1004#546C22×C8911yescharacteristic
1005#546C22×C8911yescharacteristic
1006D42C22×C8911yescharacteristic
1007#542C22×C8911yescharacteristic
1008#540—21no—
1009#540C22×C8911yescharacteristic
1010#538—21no—
1011#537C22×C8911yescharacteristic
1012#536—21no—
1013#536—21no—
1014#536C22×C8911yescharacteristic, complemented
1015#536C22×C8911yescharacteristic, complemented
1016#535—21no—
1017#535C22×C8911yescharacteristic
1018#534—21no—
1019#525—21no—
1020#525—21no—
1021#525C22×C8911yescharacteristic
1022#525C22×C8911yescharacteristic
1023#525C22×C8911yescharacteristic, complemented
1024C2×#121C22×C8911yescharacteristic
1025#519C22×C8911yescharacteristic, complemented
1026#497C22×C8911yescharacteristic, complemented
1027#496C22×C8911yescharacteristic, complemented
1028#495C22×C8911yescharacteristic, complemented
1029#492C22×C8911yescharacteristic, complemented
1030#491C22×C8911yescharacteristic, complemented
1031#489C22×C8911yescharacteristic, complemented
1032#488C22×C8911yescharacteristic, complemented
1033#487C22×C8911yescharacteristic, complemented
1034#485C22×C8911yescharacteristic, complemented
1035#485C22×C8911yescharacteristic, complemented
1036#485C22×C8911yescharacteristic, complemented
1037#485C22×C8911yescharacteristic, complemented
1038#484C22×C8911yescharacteristic, complemented
1039#483C22×C8911yescharacteristic, complemented
1040#483C22×C8911yescharacteristic, complemented
1041#482C22×C8911yescharacteristic
1042#482C22×C8911yescharacteristic, complemented
1043#482C22×C8911yescharacteristic, complemented
1044#482C22×C8911yescharacteristic, complemented
1045#480C22×C8911yescharacteristic, complemented
1046#479C22×C8911yescharacteristic, complemented
1047#479C22×C8911yescharacteristic, complemented
1048#477C22×C8911yescharacteristic, complemented
1049#475C22×C8911yescharacteristic, complemented
1050#470C22×C8911yescharacteristic, complemented
1051#469C22×C8911yescharacteristic
1052#469C22×C8911yescharacteristic, complemented
1053#468C22×C8911yescharacteristic
1054#468C22×C8911yescharacteristic, complemented
1055#468C22×C8911yescharacteristic, complemented
1056#468C22×C8911yescharacteristic, complemented
1057#468C22×C8911yescharacteristic, complemented
1058#467C22×C8911yescharacteristic, complemented
1059#467C22×C8911yescharacteristic, complemented
1060#466C22×C8911yescharacteristic
1061#465C22×C8911yescharacteristic
1062#465C22×C8911yescharacteristic, complemented
1063#465C22×C8911yescharacteristic, complemented
1064#465C22×C8911yescharacteristic, complemented
1065#465C22×C8911yescharacteristic, complemented
1066#464C22×C8911yescharacteristic, complemented
1067#464C22×C8911yescharacteristic, complemented
1068#464C22×C8911yescharacteristic, complemented
1069#463C22×C8911yescharacteristic, complemented
1070#463C22×C8911yescharacteristic, complemented
1071#463C22×C8911yescharacteristic, complemented
1072#462C22×C8911yescharacteristic, complemented
1073#461C22×C8911yescharacteristic, complemented
1074#461C22×C8911yescharacteristic, complemented
1075#461C22×C8911yescharacteristic, complemented
1076#460C22×C8911yescharacteristic, complemented
1077#460C22×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#450C22×C8911yescharacteristic
1089#450C22×C8911yescharacteristic, complemented
1090#450C22×C8911yescharacteristic, complemented
1091#449C22×C8911yescharacteristic
1092#449C22×C8911yescharacteristic, complemented
1093#449C22×C8911yescharacteristic, complemented
1094#449C22×C8911yescharacteristic, complemented
1095#449C22×C8911yescharacteristic, complemented
1096#449C22×C8911yescharacteristic, complemented
1097#449C22×C8911yescharacteristic, complemented
1098#448C22×C8911yescharacteristic
1099#448C22×C8911yescharacteristic
1100#448C22×C8911yescharacteristic
1101#448C22×C8911yescharacteristic
1102#448C22×C8911yescharacteristic
1103#448C22×C8911yescharacteristic
1104#448C22×C8911yescharacteristic, complemented
1105#448C22×C8911yescharacteristic, complemented
1106#448C22×C8911yescharacteristic, complemented
1107#448C22×C8911yescharacteristic, complemented
1108#448C22×C8911yescharacteristic, complemented
1109#448C22×C8911yescharacteristic, complemented
1110#448C22×C8911yescharacteristic, complemented
1111#448C22×C8911yescharacteristic, complemented
1112#448C22×C8911yescharacteristic, complemented
1113#447C22×C8911yescharacteristic
1114#441C22×C8911yescharacteristic, complemented
1115#440C22×C8911yescharacteristic, complemented
1116#440C22×C8911yescharacteristic, complemented
1117#440C22×C8911yescharacteristic, complemented
1118C4×Q16C22×C8911yescharacteristic, complemented
1119C4×SD16C22×C8911yescharacteristic, complemented
1120C4×SD16C22×C8911yescharacteristic, complemented
1121C4×SD16C22×C8911yescharacteristic, complemented
1122#436C22×C8911yescharacteristic, complemented
1123#436C22×C8911yescharacteristic, complemented
1124#435C22×C8911yescharacteristic
1125#435C22×C8911yescharacteristic, complemented
1126#435C22×C8911yescharacteristic, complemented
1127#435C22×C8911yescharacteristic, complemented
1128C8×D4C22×C8911yescharacteristic
1129C8×D4C22×C8911yescharacteristic, complemented
1130#433C22×C8911yescharacteristic, complemented
1131#433C22×C8911yescharacteristic, complemented
1132#419C22×C8911yescharacteristic, complemented
1133#419C22×C8911yescharacteristic, complemented
1134#419C22×C8911yescharacteristic, complemented
1135#417C22×C8911yescharacteristic, complemented
1136#416C22×C8911yescharacteristic, complemented
1137C2×#103C22×C8911yescharacteristic, complemented
1138C2×#103C22×C8911yescharacteristic, complemented
1139C2×#103C22×C8911yescharacteristic, complemented
1140#408C22×C8911yescharacteristic, complemented
1141#408C22×C8911yescharacteristic, complemented
1142#407C22×C8911yescharacteristic, complemented
1143C2×C22⋊C8C22×C8911yescharacteristic, complemented
11442−1+4—42no—
11452−1+4—42no—
1146C2×#41—21no—
1147C2×#41—21no—
1148C2×#41—21no—
1149C2×#41—21no—
1150C2×#41C23×C8911yescharacteristic
1151C2×#41C23×C8911yescharacteristic
1152C2×#41C23×C8911yescharacteristic
1153C2×#41C23×C8911yescharacteristic
1154C2×#41C23×C8911yescharacteristic
1155C2×#41C23×C8911yescharacteristic
1156C22×Q8—21no—
1157C22×Q8—21no—
1158C22×Q8—21no—
1159C22×Q8—21no—
1160C22×Q8—42no—
1161C22×Q8—42no—
1162C22×Q8C23×C8911yescharacteristic
1163C22×Q8C23×C8911yescharacteristic
1164C22×Q8C23×C8911yescharacteristic
1165C22×Q8C23×C8911yescharacteristic
1166C22×Q8C23×C8911yescharacteristic
1167C22×Q8C23×C8911yescharacteristic
1168C22×Q8C23×C8911yescharacteristic
1169C22×Q8C23×C8911yescharacteristic
1170C22×D4—21no—
1171C22×D4—21no—
1172C22×D4C23×C8911yescharacteristic
1173C22×D4C23×C8911yescharacteristic
1174C23×C4—21no—
1175C23×C4C23×C8911yescharacteristic
1176#137—42no—
1177#137—42no—
1178#137—42no—
1179AGL(1,ℤ/8)—42no—
1180#135—42no—
1181C2×Q16C23×C8911yescharacteristic
1182C2×Q16C23×C8911yescharacteristic
1183C2×Q16C23×C8911yescharacteristic
1184C2×Q16C23×C8911yescharacteristic
1185C2×Q16C23×C8911yescharacteristic
1186C2×SD16—42no—
1187C2×SD16—42no—
1188C2×SD16—42no—
1189C2×SD16C23×C8911yescharacteristic
1190C2×SD16C23×C8911yescharacteristic
1191C2×SD16C23×C8911yescharacteristic
1192C2×SD16C23×C8911yescharacteristic
1193C2×SD16C23×C8911yescharacteristic
1194C2×SD16C23×C8911yescharacteristic
1195C2×SD16C23×C8911yescharacteristic
1196C2×SD16C23×C8911yescharacteristic
1197C2×SD16C23×C8911yescharacteristic
1198C2×SD16C23×C8911yescharacteristic
1199C2×SD16C23×C8911yescharacteristic
1200C2×SD16C23×C8911yescharacteristic
1201C2×SD16C23×C8911yescharacteristic
1202C2×SD16C23×C8911yescharacteristic
1203C2×SD16C23×C8911yescharacteristic
1204C2×SD16C23×C8911yescharacteristic
1205C2×D8C23×C8911yescharacteristic
1206C2×D8C23×C8911yescharacteristic
1207C2×D8C23×C8911yescharacteristic
1208C2×M16C23×C8911yescharacteristic
1209C2×M16C23×C8911yescharacteristic
1210C2×M16C23×C8911yescharacteristic
1211C2×M16C23×C8911yescharacteristic
1212C22×C8C23×C8911yescharacteristic
1213C22×C8C23×C8911yescharacteristic
1214C22×C8C23×C8911yescharacteristic
1215C22×C8C23×C8911yescharacteristic
1216C4⋊Q8—21no—
1217C4⋊Q8—21no—
1218C4⋊Q8—21no—
1219C4⋊Q8—21no—
1220C4⋊Q8—21no—
1221C4⋊Q8C23×C8911yescharacteristic
1222C4⋊Q8C23×C8911yescharacteristic
1223C4⋊Q8C23×C8911yescharacteristic
1224#127—21no—
1225#127—21no—
1226#127C23×C8911yescharacteristic
1227#126—21no—
1228#126—21no—
1229#126—21no—
1230#125—21no—
1231#125C23×C8911yescharacteristic
1232#124—21no—
1233#124—21no—
1234#124—21no—
1235#124—21no—
1236#124—21no—
1237#124—21no—
1238#124—21no—
1239#124—21no—
1240#124—21no—
1241#124C23×C8911yescharacteristic
1242#124C23×C8911yescharacteristic
1243#124C23×C8911yescharacteristic
1244#123—21no—
1245#123—21no—
1246#123—21no—
1247#123—21no—
1248#123—21no—
1249#123—21no—
1250#123—21no—
1251#123—21no—
1252#123—21no—
1253#123—21no—
1254#123—21no—
1255#123—21no—
1256#123—21no—
1257#123—21no—
1258#123—21no—
1259#123D4×C8911yescharacteristic
1260#123D4×C8911yescharacteristic
1261C22⋊Q8—21no—
1262C22⋊Q8—21no—
1263C22⋊Q8—21no—
1264C22⋊Q8—21no—
1265C22⋊Q8—21no—
1266C22⋊Q8—21no—
1267C22⋊Q8—21no—
1268C22⋊Q8—21no—
1269C22⋊Q8—21no—
1270C22⋊Q8—21no—
1271C22⋊Q8—21no—
1272C22⋊Q8—21no—
1273C22⋊Q8—21no—
1274C22⋊Q8—21no—
1275C22⋊Q8—21no—
1276C22⋊Q8—21no—
1277C22⋊Q8—21no—
1278C22⋊Q8D4×C8911yescharacteristic
1279C22⋊Q8D4×C8911yescharacteristic
1280C22⋊Q8C23×C8911yescharacteristic
1281C22⋊Q8C23×C8911yescharacteristic
1282C22⋊Q8C23×C8911yescharacteristic
1283C22⋊Q8C23×C8911yescharacteristic
1284C22⋊Q8C23×C8911yescharacteristic
1285C22⋊Q8C23×C8911yescharacteristic
1286C22⋊Q8C23×C8911yescharacteristic
1287C22⋊Q8C23×C8911yescharacteristic
1288C22⋊Q8C23×C8911yescharacteristic
1289#121—21no—
1290#121—21no—
1291#121—21no—
1292#121—21no—
1293#121—21no—
1294#121—21no—
1295#121—21no—
1296#121—21no—
1297#121—21no—
1298#121—21no—
1299#121—21no—
1300#121—21no—
1301#121—21no—
1302#121—21no—
1303#121—21no—
1304#121—21no—
1305#121—21no—
1306#121—21no—
1307#121D4×C8911yescharacteristic
1308#121D4×C8911yescharacteristic
1309#121C23×C8911yescharacteristic
1310#121C23×C8911yescharacteristic
1311#121C23×C8911yescharacteristic
1312#121C23×C8911yescharacteristic
1313#121C23×C8911yescharacteristic
1314#121C23×C8911yescharacteristic
1315#121C23×C8911yescharacteristic
1316#121C23×C8911yescharacteristic
1317#121C23×C8911yescharacteristic
1318#121C23×C8911yescharacteristic
1319#121C23×C8911yescharacteristic
1320#120—21no—
1321#120—21no—
1322#120—21no—
1323#120—21no—
1324#120—21no—
1325#120—21no—
1326#120—21no—
1327#120—21no—
1328#120D4×C8911yescharacteristic
1329#120D4×C8911yescharacteristic
1330C4×Q8—21no—
1331C4×Q8—21no—
1332C4×Q8C23×C8911yescharacteristic
1333C4×Q8C23×C8911yescharacteristic
1334C4×Q8C23×C8911yescharacteristic
1335C4×Q8C23×C8911yescharacteristic
1336C4×Q8C23×C8911yescharacteristic
1337C4×D4—21no—
1338C4×D4—21no—
1339C4×D4—21no—
1340C4×D4—21no—
1341C4×D4—21no—
1342C4×D4—21no—
1343C4×D4—21no—
1344C4×D4—21no—
1345C4×D4—21no—
1346C4×D4—21no—
1347C4×D4—21no—
1348C4×D4—21no—
1349C4×D4—21no—
1350C4×D4—21no—
1351C4×D4C23×C8911yescharacteristic
1352C4×D4C23×C8911yescharacteristic
1353C4×D4C23×C8911yescharacteristic
1354C4×D4C23×C8911yescharacteristic
1355C4×D4C23×C8911yescharacteristic
1356C4×D4C23×C8911yescharacteristic
1357C4×D4C23×C8911yescharacteristic
1358#117—21no—
1359#117—21no—
1360#117—21no—
1361#117—21no—
1362#117C23×C8911yescharacteristic
1363#117C23×C8911yescharacteristic
1364#117C23×C8911yescharacteristic
1365#117C23×C8911yescharacteristic
1366C2×C4⋊C4C23×C8911yescharacteristic
1367C2×C4⋊C4C23×C8911yescharacteristic
1368C2×C22⋊C4—21no—
1369C2×C22⋊C4—21no—
1370C2×C22⋊C4—21no—
1371#107C23×C8911yescharacteristic
1372#107C23×C8911yescharacteristic
1373#107C23×C8911yescharacteristic
1374#107C23×C8911yescharacteristic
1375#106C23×C8911yescharacteristic
1376#106C23×C8911yescharacteristic
1377#106C23×C8911yescharacteristic
1378#106C23×C8911yescharacteristic
1379C4⋊C8C23×C8911yescharacteristic
1380C4⋊C8C23×C8911yescharacteristic
1381C4⋊C8C23×C8911yescharacteristic
1382C4⋊C8C23×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#103C23×C8911yescharacteristic
1397#103C23×C8911yescharacteristic
1398#103C23×C8911yescharacteristic
1399#103C23×C8911yescharacteristic
1400#103C23×C8911yescharacteristic
1401#103C23×C8911yescharacteristic
1402#103C23×C8911yescharacteristic
1403#103C23×C8911yescharacteristic
1404#103C23×C8911yescharacteristic
1405#102C23×C8911yescharacteristic
1406#102C23×C8911yescharacteristic
1407#102C23×C8911yescharacteristic
1408#102C23×C8911yescharacteristic
1409#102C23×C8911yescharacteristic
1410#102C23×C8911yescharacteristic
1411#102C23×C8911yescharacteristic
1412#102C23×C8911yescharacteristic
1413#102C23×C8911yescharacteristic
1414#102C23×C8911yescharacteristic
1415C22⋊C8C23×C8911yescharacteristic
1416C22⋊C8C23×C8911yescharacteristic
1417C22⋊C8C23×C8911yescharacteristic
1418C22⋊C8C23×C8911yescharacteristic
1419C22⋊C8C23×C8911yescharacteristic
1420C22⋊C8C23×C8911yescharacteristic
1421C22⋊C8C23×C8911yescharacteristic
1422C22⋊C8C23×C8911yescharacteristic
1423C22⋊C8C23×C8911yescharacteristic
1424C22⋊C8C23×C8911yescharacteristic
1425C22⋊C8C23×C8911yescharacteristic
1426C22⋊C8C23×C8911yescharacteristic
1427#97C23×C8911yescharacteristic
1428#97C23×C8911yescharacteristic
1429C4×C8C23×C8911yescharacteristic
1430C4×C8C23×C8911yescharacteristic
1431C24—21no—
1432C24—21no—
1433C24C2×D4×C8911yescharacteristic
1434#41—22no—
1435#41—22no—
1436#41—41no—
1437#41—41no—
1438#41—41no—
1439#41—41no—
1440#41—41no—
1441#41—41no—
1442#41—44no—
1443#41—44no—
1444#41—41no—
1445#41—41no—
1446#41—41no—
1447#41—41no—
1448#41—44no—
1449#41—82no—
1450C2×Q8—22no—
1451C2×Q8—22no—
1452C2×Q8—21no—
1453C2×Q8—21no—
1454C2×Q8—21no—
1455C2×Q8—21no—
1456C2×Q8—21no—
1457C2×Q8—21no—
1458C2×Q8—21no—
1459C2×Q8—21no—
1460C2×Q8—21no—
1461C2×Q8—22no—
1462C2×Q8—22no—
1463C2×Q8—22no—
1464C2×Q8—22no—
1465C2×Q8—22no—
1466C2×Q8—22no—
1467C2×Q8—41no—
1468C2×Q8—41no—
1469C2×Q8—41no—
1470C2×Q8—41no—
1471C2×Q8—41no—
1472C2×Q8—41no—
1473C2×Q8—41no—
1474C2×Q8—41no—
1475C2×Q8—44no—
1476C2×Q8—44no—
1477C2×Q8—44no—
1478C2×Q8—44no—
1479C2×Q8C2×D4×C8911yescharacteristic
1480C2×Q8C24×C8911yescharacteristic
1481C2×Q8C24×C8911yescharacteristic
1482C2×Q8C24×C8911yescharacteristic
1483C2×Q8C24×C8911yescharacteristic
1484C2×Q8C24×C8911yescharacteristic
1485C2×Q8C24×C8911yescharacteristic
1486C2×D4—21no—
1487C2×D4—21no—
1488C2×D4—21no—
1489C2×D4—21no—
1490C2×D4—21no—
1491C2×D4—21no—
1492C2×D4—21no—
1493C2×D4—21no—
1494C2×D4—21no—
1495C2×D4—21no—
1496C2×D4—21no—
1497C2×D4—21no—
1498C2×D4—21no—
1499C2×D4—21no—
1500C2×D4—21no—
1501C2×D4—21no—
1502C2×D4—21no—
1503C2×D4—21no—
1504C2×D4—21no—
1505C2×D4—21no—
1506C2×D4—41no—
1507C2×D4—41no—
1508C2×D4—41no—
1509C2×D4—41no—
1510C2×D4—82no—
1511C2×D4—82no—
1512C2×D4C2×D4×C8911yescharacteristic
1513C2×D4C2×D4×C8911yescharacteristic
1514C2×D4C2×D4×C8911yescharacteristic
1515C2×D4C2×D4×C8911yescharacteristic
1516C2×D4C2×D4×C8911yescharacteristic
1517C2×D4C2×D4×C8911yescharacteristic
1518C2×D4C2×D4×C8911yescharacteristic
1519C2×D4C24×C8911yescharacteristic
1520C2×D4C24×C8911yescharacteristic
1521C2×D4C24×C8911yescharacteristic
1522C2×D4C24×C8911yescharacteristic
1523C22×C4—21no—
1524C22×C4—21no—
1525C22×C4—21no—
1526C22×C4—21no—
1527C22×C4—21no—
1528C22×C4—21no—
1529C22×C4—21no—
1530C22×C4—21no—
1531C22×C4—21no—
1532C22×C4—21no—
1533C22×C4—21no—
1534C22×C4—21no—
1535C22×C4—21no—
1536C22×C4—21no—
1537C22×C4—21no—
1538C22×C4—21no—
1539C22×C4—21no—
1540C22×C4—21no—
1541C22×C4—41no—
1542C22×C4—41no—
1543C22×C4—44no—
1544C22×C4C2×D4×C8911yescharacteristic
1545C22×C4C2×D4×C8911yescharacteristic
1546C22×C4C2×D4×C8911yescharacteristic
1547C22×C4C24×C8911yescharacteristic
1548C22×C4C24×C8911yescharacteristic
1549C22×C4C24×C8911yescharacteristic
1550C22×C4C24×C8911yescharacteristic
1551C22×C4C24×C8911yescharacteristic
1552Q16—22no—
1553Q16—22no—
1554Q16—41no—
1555Q16—41no—
1556Q16—41no—
1557SD16—22no—
1558SD16—22no—
1559SD16—22no—
1560SD16—22no—
1561SD16—22no—
1562SD16—22no—
1563SD16—41no—
1564SD16—41no—
1565SD16—41no—
1566SD16—41no—
1567SD16—41no—
1568SD16—41no—
1569SD16—41no—
1570SD16—41no—
1571SD16—41no—
1572SD16—41no—
1573D8—41no—
1574D8—41no—
1575D8—41no—
1576M16—41no—
1577M16—41no—
1578M16—41no—
1579M16—41no—
1580C2×C8—41no—
1581C2×C8—41no—
1582C2×C8—41no—
1583C2×C8—41no—
1584C2×C8C24×C8911yescharacteristic
1585C2×C8C24×C8911yescharacteristic
1586C2×C8C24×C8911yescharacteristic
1587C2×C8C24×C8911yescharacteristic
1588C2×C8C24×C8911yescharacteristic
1589C2×C8C24×C8911yescharacteristic
1590C2×C8C24×C8911yescharacteristic
1591C2×C8C24×C8911yescharacteristic
1592C4⋊C4—21no—
1593C4⋊C4—21no—
1594C4⋊C4—21no—
1595C4⋊C4—21no—
1596C4⋊C4—21no—
1597C4⋊C4—21no—
1598C4⋊C4—21no—
1599C4⋊C4—21no—
1600C4⋊C4—21no—
1601C4⋊C4—21no—
1602C4⋊C4—21no—
1603C4⋊C4—21no—
1604C4⋊C4—21no—
1605C4⋊C4—21no—
1606C4⋊C4—21no—
1607C4⋊C4—21no—
1608C4⋊C4—21no—
1609C4⋊C4—21no—
1610C4⋊C4—21no—
1611C4⋊C4—21no—
1612C4⋊C4—21no—
1613C4⋊C4—21no—
1614C4⋊C4—21no—
1615C4⋊C4C2×D4×C8911yescharacteristic
1616C4⋊C4C2×D4×C8911yescharacteristic
1617C4⋊C4C2×D4×C8911yescharacteristic
1618C4⋊C4C2×D4×C8911yescharacteristic
1619C4⋊C4C2×D4×C8911yescharacteristic
1620C4⋊C4C2×D4×C8911yescharacteristic
1621C4⋊C4C24×C8911yescharacteristic
1622C4⋊C4C24×C8911yescharacteristic
1623C4⋊C4C24×C8911yescharacteristic
1624C4⋊C4C24×C8911yescharacteristic
1625C4⋊C4C24×C8911yescharacteristic
1626C4⋊C4C24×C8911yescharacteristic
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⋊C4—21no—
1650C22⋊C4—21no—
1651C22⋊C4—21no—
1652C22⋊C4—21no—
1653C22⋊C4—21no—
1654C22⋊C4—21no—
1655C22⋊C4—21no—
1656C22⋊C4—21no—
1657C22⋊C4—21no—
1658C22⋊C4—21no—
1659C22⋊C4C2×D4×C8911yescharacteristic
1660C22⋊C4C2×D4×C8911yescharacteristic
1661C22⋊C4C2×D4×C8911yescharacteristic
1662C22⋊C4C2×D4×C8911yescharacteristic
1663C22⋊C4C2×D4×C8911yescharacteristic
1664C22⋊C4C2×D4×C8911yescharacteristic
1665C22⋊C4C2×D4×C8911yescharacteristic
1666C22⋊C4C2×D4×C8911yescharacteristic
1667C22⋊C4C2×D4×C8911yescharacteristic
1668C22⋊C4C2×D4×C8911yescharacteristic
1669C42—21no—
1670C42—21no—
1671C42—21no—
1672C42—21no—
1673C42—21no—
1674C42—21no—
1675C42—21no—
1676C42—21no—
1677C42C24×C8911yescharacteristic
1678C42C24×C8911yescharacteristic
1679C23—22no—
1680C23—21no—
1681C23—21no—
1682C23—21no—
1683C23—21no—
1684C23—41no—
1685C23—41no—
1686C23—42no—
1687C23—81no—
1688C23—81no—
1689C23—81no—
1690C23—81no—
1691C23—81no—
1692C23C22×D4×C8911yescharacteristic
1693C23C22×D4×C8911yescharacteristic
1694C23C22×D4×C8911yescharacteristic
1695C23C22×D4×C8911yescharacteristic
1696C23C22×D4×C8911yescharacteristic
1697Q8—24no—
1698Q8—21no—
1699Q8—21no—
1700Q8—21no—
1701Q8—21no—
1702Q8—21no—
1703Q8—21no—
1704Q8—21no—
1705Q8—21no—
1706Q8—21no—
1707Q8—21no—
1708Q8—41no—
1709Q8—42no—
1710Q8—42no—
1711Q8—42no—
1712Q8—42no—
1713Q8—42no—
1714Q8—42no—
1715Q8—42no—
1716Q8—81no—
1717Q8H(5,𝔽2)×C8912yes—
1718Q8H(5,𝔽2)×C8912yes—
1719D4—22no—
1720D4—22no—
1721D4—21no—
1722D4—21no—
1723D4—21no—
1724D4—21no—
1725D4—21no—
1726D4—21no—
1727D4—21no—
1728D4—21no—
1729D4—41no—
1730D4—41no—
1731D4—41no—
1732D4—41no—
1733D4—41no—
1734D4—42no—
1735D4—42no—
1736D4—42no—
1737D4—42no—
1738D4—42no—
1739D4—42no—
1740D4—81no—
1741D4—81no—
1742D4—81no—
1743D4—81no—
1744D4—81no—
1745D4—81no—
1746D4—81no—
1747D4—81no—
1748D4—81no—
1749D4—81no—
1750D4—81no—
1751D4—81no—
1752D4—81no—
1753D4—81no—
1754C2×C4—24no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—41no—
1778C2×C4—41no—
1779C2×C4—41no—
1780C2×C4—42no—
1781C2×C4—42no—
1782C2×C4—42no—
1783C2×C4—42no—
1784C2×C4—42no—
1785C2×C4—42no—
1786C2×C4—42no—
1787C2×C4—42no—
1788C2×C4—42no—
1789C2×C4—42no—
1790C2×C4—42no—
1791C2×C4—81no—
1792C2×C4—81no—
1793C2×C4—81no—
1794C2×C4—81no—
1795C2×C4—81no—
1796C2×C4—81no—
1797C2×C4C22×D4×C8911yescharacteristic
1798C2×C4C22×D4×C8911yescharacteristic
1799C2×C4C22×D4×C8911yescharacteristic
1800C2×C4C22×D4×C8911yescharacteristic
1801C2×C4C22×D4×C8911yescharacteristic
1802C2×C4C22×D4×C8911yescharacteristic
1803C2×C4C22×D4×C8911yescharacteristic
1804C2×C4C22×D4×C8911yescharacteristic
1805C2×C4C22×D4×C8911yescharacteristic
1806C2×C4C25×C8911yescharacteristic
1807C8—21no—
1808C8—21no—
1809C8—21no—
1810C8—21no—
1811C8—21no—
1812C8—21no—
1813C8—21no—
1814C8—21no—
1815C22—21no—
1816C22—21no—
1817C22—21no—
1818C22—21no—
1819C22—21no—
1820C22—21no—
1821C22—21no—
1822C22—21no—
1823C22—21no—
1824C22—21no—
1825C22—21no—
1826C22—21no—
1827C22—21no—
1828C22—21no—
1829C22—44no—
1830C22—41no—
1831C22—41no—
1832C22—41no—
1833C22—41no—
1834C22—41no—
1835C22—41no—
1836C22—41no—
1837C22—41no—
1838C22—41no—
1839C22—41no—
1840C22—41no—
1841C22—41no—
1842C22—162no—
1843C22—162no—
1844C22#577×C8912yes—
1845C22C23×D4×C8911yescharacteristic
1846C4—21no—
1847C4—21no—
1848C4—21no—
1849C4—21no—
1850C4—22no—
1851C4—22no—
1852C4—21no—
1853C4—21no—
1854C4—21no—
1855C4—21no—
1856C4—21no—
1857C4—41no—
1858C4—41no—
1859C4—41no—
1860C4—41no—
1861C4—41no—
1862C4—41no—
1863C4—41no—
1864C4—41no—
1865C4—41no—
1866C4—41no—
1867C4C2×H(5,𝔽2)×C8911yescharacteristic
1868C4C2×H(5,𝔽2)×C8911yescharacteristic
1869C2—22no—
1870C2—41no—
1871C2—41no—
1872C2—41no—
1873C2—41no—
1874C2—81no—
1875C2—81no—
1876C2—81no—
1877C2—81no—
1878C2C89×#348411yescharacteristic
1879C2C2×#577×C8911yescharacteristic
1880C2C89×#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×#3542C2semidirect
2. C89×#3486C2semidirect
3. C89×#3329C2semidirect
4. C89×#3326C2semidirect
5. C89×#3321C2semidirect
6. C89×#3320C2semidirect
7. C89×#3312C2semidirect
8. C89×#3308C2semidirect
9. C89×#3300C2semidirect
10. C89×#3298C2semidirect
11. C89×#3282C2semidirect
12. D4×SD16×C89C2semidirect
13. C89×#3278C2semidirect
14. C89×#3275C2semidirect
15. C89×#3271C2semidirect
16. C89×#3266C2semidirect
17. C89×#3266C2semidirect
18. C89×#3265C2semidirect
19. C89×#3225C2semidirect
20. C89×#3221C2semidirect
21. C89×#3201C2semidirect
22. C89×#3200C2semidirect
23. C89×#3194C2semidirect
24. C89×#3191C2semidirect
25. C89×#3126C2semidirect
26. C89×#3121C2semidirect
27. C89×#3013C2semidirect
28. C89×#3010C2semidirect
29. C89×#3004C2semidirect
30. C2×#448×C89C2semidirect
31. C89×#2976C2semidirect
32. C2×2−1+4×C89C22semidirect
33. C23×Q8×C89C22semidirect
34. C2×#137×C89C22semidirect
35. C2×#137×C89C22semidirect
36. C2×#137×C89C22semidirect
37. C2×AGL(1,ℤ/8)×C89C22semidirect
38. C2×#135×C89C22semidirect
41. C22×SD16×C89C22semidirect
52. D4×Q8×C89C22semidirect
53. D4×Q8×C89C22semidirect
54. D4×Q8×C89C22semidirect
58. #548×C89C22semidirect
59. #548×C89C22semidirect
60. #548×C89C22semidirect
73. #536×C89C22semidirect
74. #536×C89C22semidirect
82. #525×C89C22semidirect
84. #519×C89C22semidirect
85. #497×C89C22semidirect
86. #496×C89C22semidirect
87. #495×C89C22semidirect
88. #492×C89C22semidirect
89. #491×C89C22semidirect
90. #489×C89C22semidirect
91. #488×C89C22semidirect
92. #487×C89C22semidirect
93. #485×C89C22semidirect
94. #485×C89C22semidirect
95. #485×C89C22semidirect
96. #485×C89C22semidirect
97. #484×C89C22semidirect
98. #483×C89C22semidirect
99. #483×C89C22semidirect
101. #482×C89C22semidirect
102. #482×C89C22semidirect
103. #482×C89C22semidirect
104. #480×C89C22semidirect
105. #479×C89C22semidirect
106. #479×C89C22semidirect
107. #477×C89C22semidirect
108. #475×C89C22semidirect
109. #470×C89C22semidirect
111. #469×C89C22semidirect
113. #468×C89C22semidirect
114. #468×C89C22semidirect
115. #468×C89C22semidirect
116. #468×C89C22semidirect
117. #467×C89C22semidirect
118. #467×C89C22semidirect
121. #465×C89C22semidirect
122. #465×C89C22semidirect
123. #465×C89C22semidirect
124. #465×C89C22semidirect
125. #464×C89C22semidirect
126. #464×C89C22semidirect
127. #464×C89C22semidirect
128. #463×C89C22semidirect
129. #463×C89C22semidirect
130. #463×C89C22semidirect
131. #462×C89C22semidirect
132. #461×C89C22semidirect
133. #461×C89C22semidirect
134. #461×C89C22semidirect
135. #460×C89C22semidirect
136. #460×C89C22semidirect
137. #452×C89C22semidirect
138. #452×C89C22semidirect
139. #452×C89C22semidirect
140. #452×C89C22semidirect
141. #452×C89C22semidirect
142. #451×C89C22semidirect
143. #451×C89C22semidirect
144. #451×C89C22semidirect
145. #451×C89C22semidirect
146. #451×C89C22semidirect
148. #450×C89C22semidirect
149. #450×C89C22semidirect
151. #449×C89C22semidirect
152. #449×C89C22semidirect
153. #449×C89C22semidirect
154. #449×C89C22semidirect
155. #449×C89C22semidirect
156. #449×C89C22semidirect
163. #448×C89C22semidirect
164. #448×C89C22semidirect
165. #448×C89C22semidirect
166. #448×C89C22semidirect
167. #448×C89C22semidirect
168. #448×C89C22semidirect
169. #448×C89C22semidirect
170. #448×C89C22semidirect
171. #448×C89C22semidirect
173. #441×C89C22semidirect
174. #440×C89C22semidirect
175. #440×C89C22semidirect
176. #440×C89C22semidirect
177. C4×Q16×C89C22semidirect
178. C4×SD16×C89C22semidirect
179. C4×SD16×C89C22semidirect
180. C4×SD16×C89C22semidirect
181. #436×C89C22semidirect
182. #436×C89C22semidirect
184. #435×C89C22semidirect
185. #435×C89C22semidirect
186. #435×C89C22semidirect
188. C8×D4×C89C22semidirect
189. #433×C89C22semidirect
190. #433×C89C22semidirect
191. #419×C89C22semidirect
192. #419×C89C22semidirect
193. #419×C89C22semidirect
194. #417×C89C22semidirect
195. #416×C89C22semidirect
196. C2×#103×C89C22semidirect
197. C2×#103×C89C22semidirect
198. C2×#103×C89C22semidirect
199. #408×C89C22semidirect
200. #408×C89C22semidirect
201. #407×C89C22semidirect
202. C2×C22⋊C8×C89C22semidirect
928. #61611C89direct (N × H)
941. #3542C2×C89semidirect
942. #3486C2×C89semidirect
943. #3329C2×C89semidirect
944. #3326C2×C89semidirect
945. #3321C2×C89semidirect
946. #3320C2×C89semidirect
947. #3312C2×C89semidirect
948. #3308C2×C89semidirect
949. #3300C2×C89semidirect
950. #3298C2×C89semidirect
951. #3282C2×C89semidirect
952. D4×SD16C2×C89semidirect
953. #3278C2×C89semidirect
954. #3275C2×C89semidirect
955. #3271C2×C89semidirect
956. #3266C2×C89semidirect
957. #3266C2×C89semidirect
958. #3265C2×C89semidirect
959. #3225C2×C89semidirect
960. #3221C2×C89semidirect
961. #3201C2×C89semidirect
962. #3200C2×C89semidirect
963. #3194C2×C89semidirect
964. #3191C2×C89semidirect
965. #3126C2×C89semidirect
966. #3121C2×C89semidirect
967. #3013C2×C89semidirect
968. #3010C2×C89semidirect
969. #3004C2×C89semidirect
970. C2×#448C2×C89semidirect
971. #2976C2×C89semidirect
972. C89#61611direct (N × H)
973. C2×2−1+4C22×C89semidirect
974. C23×Q8C22×C89semidirect
975. C2×#137C22×C89semidirect
976. C2×#137C22×C89semidirect
977. C2×#137C22×C89semidirect
978. C2×AGL(1,ℤ/8)C22×C89semidirect
979. C2×#135C22×C89semidirect
982. C22×SD16C22×C89semidirect
993. D4×Q8C22×C89semidirect
994. D4×Q8C22×C89semidirect
995. D4×Q8C22×C89semidirect
999. #548C22×C89semidirect
1000. #548C22×C89semidirect
1001. #548C22×C89semidirect
1014. #536C22×C89semidirect
1015. #536C22×C89semidirect
1023. #525C22×C89semidirect
1025. #519C22×C89semidirect
1026. #497C22×C89semidirect
1027. #496C22×C89semidirect
1028. #495C22×C89semidirect
1029. #492C22×C89semidirect
1030. #491C22×C89semidirect
1031. #489C22×C89semidirect
1032. #488C22×C89semidirect
1033. #487C22×C89semidirect
1034. #485C22×C89semidirect
1035. #485C22×C89semidirect
1036. #485C22×C89semidirect
1037. #485C22×C89semidirect
1038. #484C22×C89semidirect
1039. #483C22×C89semidirect
1040. #483C22×C89semidirect
1042. #482C22×C89semidirect
1043. #482C22×C89semidirect
1044. #482C22×C89semidirect
1045. #480C22×C89semidirect
1046. #479C22×C89semidirect
1047. #479C22×C89semidirect
1048. #477C22×C89semidirect
1049. #475C22×C89semidirect
1050. #470C22×C89semidirect
1052. #469C22×C89semidirect
1054. #468C22×C89semidirect
1055. #468C22×C89semidirect
1056. #468C22×C89semidirect
1057. #468C22×C89semidirect
1058. #467C22×C89semidirect
1059. #467C22×C89semidirect
1062. #465C22×C89semidirect
1063. #465C22×C89semidirect
1064. #465C22×C89semidirect
1065. #465C22×C89semidirect
1066. #464C22×C89semidirect
1067. #464C22×C89semidirect
1068. #464C22×C89semidirect
1069. #463C22×C89semidirect
1070. #463C22×C89semidirect
1071. #463C22×C89semidirect
1072. #462C22×C89semidirect
1073. #461C22×C89semidirect
1074. #461C22×C89semidirect
1075. #461C22×C89semidirect
1076. #460C22×C89semidirect
1077. #460C22×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
1089. #450C22×C89semidirect
1090. #450C22×C89semidirect
1092. #449C22×C89semidirect
1093. #449C22×C89semidirect
1094. #449C22×C89semidirect
1095. #449C22×C89semidirect
1096. #449C22×C89semidirect
1097. #449C22×C89semidirect
1104. #448C22×C89semidirect
1105. #448C22×C89semidirect
1106. #448C22×C89semidirect
1107. #448C22×C89semidirect
1108. #448C22×C89semidirect
1109. #448C22×C89semidirect
1110. #448C22×C89semidirect
1111. #448C22×C89semidirect
1112. #448C22×C89semidirect
1114. #441C22×C89semidirect
1115. #440C22×C89semidirect
1116. #440C22×C89semidirect
1117. #440C22×C89semidirect
1118. C4×Q16C22×C89semidirect
1119. C4×SD16C22×C89semidirect
1120. C4×SD16C22×C89semidirect
1121. C4×SD16C22×C89semidirect
1122. #436C22×C89semidirect
1123. #436C22×C89semidirect
1125. #435C22×C89semidirect
1126. #435C22×C89semidirect
1127. #435C22×C89semidirect
1129. C8×D4C22×C89semidirect
1130. #433C22×C89semidirect
1131. #433C22×C89semidirect
1132. #419C22×C89semidirect
1133. #419C22×C89semidirect
1134. #419C22×C89semidirect
1135. #417C22×C89semidirect
1136. #416C22×C89semidirect
1137. C2×#103C22×C89semidirect
1138. C2×#103C22×C89semidirect
1139. C2×#103C22×C89semidirect
1140. #408C22×C89semidirect
1141. #408C22×C89semidirect
1142. #407C22×C89semidirect
1143. 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×#35422
C89×#34862
C89×#33292
C89×#33262
C89×#33212
C89×#33202
C89×#33122
C89×#33082
C89×#33002
C89×#32982
C89×#32822
D4×SD16×C892
C89×#32782
C89×#32752
C89×#32712
C89×#32662
C89×#32652
C89×#32252
C89×#32212
C89×#32012
C89×#32002
C89×#31942
C89×#31912
C89×#31262
C89×#31212
C89×#30132
C89×#30102
C89×#30042
C2×#448×C892
C89×#29762
#6161189