Finite Group Databasebeta

← C89×#61972 #36439820

Subgroups — C89×#61972 #36439820

Order 22784.

1856 conjugacy classes of subgroups.

The subgroup lattice has 1756 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C89×#3514C211yesmaximal, characteristic, complemented
2C89×#3482C211yesmaximal, characteristic, complemented
3C89×#3402C211yesmaximal, characteristic, complemented
4C89×#3401C211yesmaximal, characteristic, complemented
5C89×#3377C211yesmaximal, characteristic, complemented
6C89×#3371C211yesmaximal, characteristic, complemented
7C89×#3327C211yesmaximal, characteristic, complemented
8C89×#3323C211yesmaximal, characteristic, complemented
9C89×#3312C211yesmaximal, characteristic, complemented
10C89×#3310C211yesmaximal, characteristic, complemented
11C89×#3308C211yesmaximal, characteristic, complemented
12C89×#3306C211yesmaximal, characteristic, complemented
13C89×#3277C211yesmaximal, characteristic, complemented
14C89×#3275C211yesmaximal, characteristic, complemented
15C89×#3270C211yesmaximal, characteristic, complemented
16C89×#3270C211yesmaximal, characteristic, complemented
17C89×#3266C211yesmaximal, characteristic, complemented
18C89×#3265C211yesmaximal, characteristic, complemented
19C89×#3256C211yesmaximal, characteristic, complemented
20C89×#3252C211yesmaximal, characteristic, complemented
21C89×#3250C211yesmaximal, characteristic, complemented
22C89×#3219C211yesmaximal, characteristic, complemented
23C89×#3215C211yesmaximal, characteristic, complemented
24C89×#3211C211yesmaximal, characteristic, complemented
25C89×#3117C211yesmaximal, characteristic, complemented
26C89×#3111C211yesmaximal, characteristic, complemented
27C89×#3108C211yesmaximal, characteristic, complemented
28C89×#3040C211yesmaximal, characteristic, complemented
29C89×#3037C211yesmaximal, characteristic, complemented
30C2×#464×C89C211yesmaximal, characteristic, complemented
31C89×#2989C211yesmaximal, characteristic, complemented
32C2×#137×C89C2211yescharacteristic, complemented
33C2×#137×C89C2211yescharacteristic, complemented
34C2×#137×C89C2211yescharacteristic, complemented
35C2×AGL(1,ℤ/8)×C89C2211yescharacteristic
36C22×Q16×C89C2211yescharacteristic, complemented
37C22×SD16×C89C2211yescharacteristic
38#559×C89C2211yescharacteristic
39#557×C89C2211yescharacteristic, complemented
40#556×C89—21no—
41#556×C89C2211yescharacteristic
42#556×C89C2211yescharacteristic, complemented
43#555×C89—21no—
44#552×C89—21no—
45#552×C89—21no—
46#552×C89C2211yescharacteristic
47#552×C89C2211yescharacteristic, complemented
48#551×C89—21no—
49#551×C89—21no—
50D4×Q8×C89C2211yescharacteristic
51D4×Q8×C89C2211yescharacteristic, complemented
52#548×C89C2211yescharacteristic
53#548×C89C2211yescharacteristic
54#548×C89C2211yescharacteristic
55#548×C89C2211yescharacteristic, complemented
56#547×C89—21no—
57#547×C89C2211yescharacteristic, complemented
58#546×C89—21no—
59#546×C89C2211yescharacteristic
60#546×C89C2211yescharacteristic
61D42×C89C2211yescharacteristic
62#542×C89—21no—
63#538×C89—21no—
64#538×C89—21no—
65#533×C89—21no—
66#533×C89C2211yescharacteristic, complemented
67#532×C89C2211yescharacteristic
68#529×C89—21no—
69#529×C89—21no—
70#529×C89C2211yescharacteristic
71#529×C89C2211yescharacteristic
72#529×C89C2211yescharacteristic
73#529×C89C2211yescharacteristic, complemented
74#529×C89C2211yescharacteristic, complemented
75C2×#124×C89C2211yescharacteristic
76C2×#124×C89C2211yescharacteristic
77#518×C89—21no—
78C4×#41×C89—21no—
79C4×#41×C89C2211yescharacteristic
80C4×#41×C89C2211yescharacteristic, complemented
81C2×C4×Q8×C89C2211yescharacteristic, complemented
82C2×C4×Q8×C89C2211yescharacteristic, complemented
83#497×C89C2211yescharacteristic
84#497×C89C2211yescharacteristic, complemented
85#497×C89C2211yescharacteristic, complemented
86#496×C89C2211yescharacteristic
87#495×C89C2211yescharacteristic
88#495×C89C2211yescharacteristic, complemented
89#491×C89C2211yescharacteristic, complemented
90#490×C89C2211yescharacteristic
91#489×C89C2211yescharacteristic
92#489×C89C2211yescharacteristic, complemented
93#488×C89C2211yescharacteristic
94#488×C89C2211yescharacteristic, complemented
95#485×C89C2211yescharacteristic, complemented
96#484×C89C2211yescharacteristic, complemented
97#483×C89C2211yescharacteristic, complemented
98#482×C89C2211yescharacteristic
99#481×C89C2211yescharacteristic
100#480×C89C2211yescharacteristic
101#479×C89C2211yescharacteristic, complemented
102#479×C89C2211yescharacteristic, complemented
103#479×C89C2211yescharacteristic, complemented
104#479×C89C2211yescharacteristic, complemented
105#479×C89C2211yescharacteristic, complemented
106#478×C89C2211yescharacteristic
107#478×C89C2211yescharacteristic, complemented
108#478×C89C2211yescharacteristic, complemented
109#477×C89C2211yescharacteristic, complemented
110#476×C89C2211yescharacteristic, complemented
111#470×C89C2211yescharacteristic, complemented
112#470×C89C2211yescharacteristic, complemented
113#470×C89C2211yescharacteristic, complemented
114#469×C89C2211yescharacteristic
115#468×C89C2211yescharacteristic
116#468×C89C2211yescharacteristic
117#468×C89C2211yescharacteristic
118#468×C89C2211yescharacteristic, complemented
119#467×C89C2211yescharacteristic, complemented
120#466×C89C2211yescharacteristic
121#465×C89C2211yescharacteristic
122#465×C89C2211yescharacteristic, complemented
123#464×C89C2211yescharacteristic
124#464×C89C2211yescharacteristic
125#464×C89C2211yescharacteristic
126#464×C89C2211yescharacteristic
127#464×C89C2211yescharacteristic
128#464×C89C2211yescharacteristic
129#464×C89C2211yescharacteristic, complemented
130#464×C89C2211yescharacteristic, complemented
131#464×C89C2211yescharacteristic, complemented
132#464×C89C2211yescharacteristic, complemented
133#464×C89C2211yescharacteristic, complemented
134#464×C89C2211yescharacteristic, complemented
135#464×C89C2211yescharacteristic, complemented
136#464×C89C2211yescharacteristic, complemented
137#464×C89C2211yescharacteristic, complemented
138#464×C89C2211yescharacteristic, complemented
139#464×C89C2211yescharacteristic, complemented
140#463×C89C2211yescharacteristic
141#463×C89C2211yescharacteristic
142#463×C89C2211yescharacteristic
143#463×C89C2211yescharacteristic, complemented
144#463×C89C2211yescharacteristic, complemented
145#463×C89C2211yescharacteristic, complemented
146#463×C89C2211yescharacteristic, complemented
147#462×C89C2211yescharacteristic, complemented
148#462×C89C2211yescharacteristic, complemented
149#462×C89C2211yescharacteristic, complemented
150#461×C89C2211yescharacteristic, complemented
151#460×C89C2211yescharacteristic
152#460×C89C2211yescharacteristic
153#452×C89C2211yescharacteristic, complemented
154#452×C89C2211yescharacteristic, complemented
155#452×C89C2211yescharacteristic, complemented
156#451×C89C2211yescharacteristic, complemented
157#451×C89C2211yescharacteristic, complemented
158#451×C89C2211yescharacteristic, complemented
159#451×C89C2211yescharacteristic, complemented
160#451×C89C2211yescharacteristic, complemented
161#450×C89C2211yescharacteristic
162#450×C89C2211yescharacteristic
163#450×C89C2211yescharacteristic
164#449×C89C2211yescharacteristic
165#449×C89C2211yescharacteristic, complemented
166#449×C89C2211yescharacteristic, complemented
167#448×C89C2211yescharacteristic
168#448×C89C2211yescharacteristic
169#448×C89C2211yescharacteristic, complemented
170#447×C89C2211yescharacteristic
171#446×C89C2211yescharacteristic, complemented
172#446×C89C2211yescharacteristic, complemented
173#442×C89C2211yescharacteristic, complemented
174#441×C89C2211yescharacteristic, complemented
175#441×C89C2211yescharacteristic, complemented
176#441×C89C2211yescharacteristic, complemented
177#440×C89C2211yescharacteristic
178#440×C89C2211yescharacteristic
179#440×C89C2211yescharacteristic, complemented
180#440×C89C2211yescharacteristic, complemented
181C4×Q16×C89C2211yescharacteristic, complemented
182C4×Q16×C89C2211yescharacteristic, complemented
183C4×SD16×C89C2211yescharacteristic, complemented
184C4×SD16×C89C2211yescharacteristic, complemented
185#436×C89C2211yescharacteristic, complemented
186#436×C89C2211yescharacteristic, complemented
187#435×C89C2211yescharacteristic
188#435×C89C2211yescharacteristic
189#435×C89C2211yescharacteristic, complemented
190#435×C89C2211yescharacteristic, complemented
191#432×C89C2211yescharacteristic, complemented
192#432×C89C2211yescharacteristic, complemented
193#431×C89C2211yescharacteristic, complemented
194#423×C89C2211yescharacteristic, complemented
195#423×C89C2211yescharacteristic, complemented
196C2×C4⋊C8×C89C2211yescharacteristic, complemented
197#419×C89C2211yescharacteristic, complemented
198#418×C89C2211yescharacteristic
199#417×C89C2211yescharacteristic, complemented
200#417×C89C2211yescharacteristic, complemented
201C2×#103×C89C2211yescharacteristic, complemented
202C2×#102×C89C2211yescharacteristic
203C2×#41×C89—21no—
204C2×#41×C89D411yescharacteristic
205C2×#41×C89C2311yescharacteristic
206C2×#41×C89C2311yescharacteristic
207C2×#41×C89C2311yescharacteristic
208C22×Q8×C89C2311yescharacteristic
209C22×Q8×C89C2311yescharacteristic
210C22×Q8×C89C2311yescharacteristic
211C22×Q8×C89C2311yescharacteristic
212C22×D4×C89—21no—
213C22×D4×C89C2311yescharacteristic
214C22×D4×C89C2311yescharacteristic
215#137×C89—42no—
216#137×C89—42no—
217#137×C89—42no—
218AGL(1,ℤ/8)×C89—42no—
219C2×Q16×C89—42no—
220C2×Q16×C89C2311yescharacteristic
221C2×Q16×C89C2311yescharacteristic
222C2×Q16×C89C2311yescharacteristic
223C2×Q16×C89C2311yescharacteristic
224C2×Q16×C89C2311yescharacteristic
225C2×Q16×C89C2311yescharacteristic
226C2×Q16×C89C2311yescharacteristic
227C2×Q16×C89C2311yescharacteristic
228C2×Q16×C89C2311yescharacteristic
229C2×SD16×C89—42no—
230C2×SD16×C89C2311yescharacteristic
231C2×SD16×C89C2311yescharacteristic
232C2×SD16×C89C2311yescharacteristic
233C2×SD16×C89C2311yescharacteristic
234C2×SD16×C89C2311yescharacteristic
235C2×SD16×C89C2311yescharacteristic
236C2×SD16×C89C2311yescharacteristic
237C2×SD16×C89C2311yescharacteristic
238C2×SD16×C89C2311yescharacteristic
239C2×SD16×C89C2311yescharacteristic
240C2×SD16×C89C2311yescharacteristic
241C2×SD16×C89C2311yescharacteristic
242C2×D8×C89C2311yescharacteristic
243C2×D8×C89C2311yescharacteristic
244C2×D8×C89C2311yescharacteristic
245C2×M16×C89C2311yescharacteristic
246C2×M16×C89C2311yescharacteristic
247C2×M16×C89C2311yescharacteristic
248C2×M16×C89C2311yescharacteristic
249C22×C8×C89C2311yescharacteristic
250C22×C8×C89C2311yescharacteristic
251C4⋊Q8×C89—21no—
252C4⋊Q8×C89—21no—
253C4⋊Q8×C89—21no—
254C4⋊Q8×C89C2311yescharacteristic
255C4⋊Q8×C89C2311yescharacteristic
256C4⋊Q8×C89C2311yescharacteristic
257#127×C89C2311yescharacteristic
258#126×C89—21no—
259#126×C89—21no—
260#126×C89—21no—
261#126×C89—21no—
262#126×C89—21no—
263#126×C89—21no—
264#126×C89—21no—
265#126×C89—21no—
266#126×C89—21no—
267#126×C89—21no—
268#126×C89—21no—
269#125×C89—21no—
270#125×C89—21no—
271#125×C89—21no—
272#125×C89—21no—
273#125×C89—21no—
274#125×C89C2311yescharacteristic
275#125×C89C2311yescharacteristic
276#125×C89C2311yescharacteristic
277#124×C89—21no—
278#124×C89—21no—
279#124×C89—21no—
280#124×C89—21no—
281#124×C89—21no—
282#124×C89—21no—
283#124×C89—21no—
284#124×C89—21no—
285#124×C89—21no—
286#124×C89C2311yescharacteristic
287#124×C89C2311yescharacteristic
288#124×C89C2311yescharacteristic
289#124×C89C2311yescharacteristic
290#124×C89C2311yescharacteristic
291#124×C89C2311yescharacteristic
292#124×C89C2311yescharacteristic
293#124×C89C2311yescharacteristic
294#124×C89C2311yescharacteristic
295#123×C89—21no—
296#123×C89—21no—
297#123×C89—21no—
298#123×C89—21no—
299#123×C89—21no—
300#123×C89—21no—
301#123×C89—21no—
302#123×C89—21no—
303#123×C89—21no—
304#123×C89—21no—
305#123×C89—21no—
306#123×C89—21no—
307#123×C89—21no—
308C22⋊Q8×C89—21no—
309C22⋊Q8×C89—21no—
310C22⋊Q8×C89—21no—
311C22⋊Q8×C89—21no—
312C22⋊Q8×C89—21no—
313C22⋊Q8×C89—21no—
314C22⋊Q8×C89—21no—
315C22⋊Q8×C89—21no—
316C22⋊Q8×C89—21no—
317C22⋊Q8×C89—21no—
318C22⋊Q8×C89—21no—
319C22⋊Q8×C89—21no—
320C22⋊Q8×C89C2311yescharacteristic
321C22⋊Q8×C89C2311yescharacteristic
322C22⋊Q8×C89C2311yescharacteristic
323C22⋊Q8×C89C2311yescharacteristic
324C22⋊Q8×C89C2311yescharacteristic
325C22⋊Q8×C89C2311yescharacteristic
326C22⋊Q8×C89C2311yescharacteristic
327#121×C89—21no—
328#121×C89—21no—
329#121×C89—21no—
330#121×C89—21no—
331#121×C89—21no—
332#121×C89—21no—
333#121×C89—21no—
334#121×C89—21no—
335#121×C89—21no—
336#121×C89C2311yescharacteristic
337#121×C89C2311yescharacteristic
338#121×C89C2311yescharacteristic
339#121×C89C2311yescharacteristic
340#121×C89C2311yescharacteristic
341#120×C89—21no—
342#120×C89—21no—
343#120×C89—21no—
344#120×C89—21no—
345C4×Q8×C89—21no—
346C4×Q8×C89—21no—
347C4×Q8×C89—21no—
348C4×Q8×C89—21no—
349C4×Q8×C89—21no—
350C4×Q8×C89—21no—
351C4×Q8×C89D411yescharacteristic
352C4×Q8×C89C2311yescharacteristic
353C4×Q8×C89C2311yescharacteristic
354C4×Q8×C89C2311yescharacteristic
355C4×Q8×C89C2311yescharacteristic
356C4×Q8×C89C2311yescharacteristic
357C4×Q8×C89C2311yescharacteristic
358C4×Q8×C89C2311yescharacteristic
359C4×Q8×C89C2311yescharacteristic
360C4×Q8×C89C2311yescharacteristic
361C4×Q8×C89C2311yescharacteristic
362C4×Q8×C89C2311yescharacteristic
363C4×Q8×C89C2311yescharacteristic
364C4×D4×C89—21no—
365C4×D4×C89—21no—
366C4×D4×C89—21no—
367C4×D4×C89—21no—
368C4×D4×C89—21no—
369C4×D4×C89—21no—
370C4×D4×C89—21no—
371C4×D4×C89—21no—
372C4×D4×C89—21no—
373C4×D4×C89—21no—
374C4×D4×C89—21no—
375C4×D4×C89—21no—
376C4×D4×C89—21no—
377C4×D4×C89—21no—
378C4×D4×C89—21no—
379C4×D4×C89—21no—
380C4×D4×C89D411yescharacteristic
381C4×D4×C89D411yescharacteristic
382C4×D4×C89D411yescharacteristic
383C4×D4×C89C2311yescharacteristic
384C4×D4×C89C2311yescharacteristic
385C4×D4×C89C2311yescharacteristic
386C4×D4×C89C2311yescharacteristic
387C4×D4×C89C2311yescharacteristic
388C4×D4×C89C2311yescharacteristic
389C4×D4×C89C2311yescharacteristic
390C4×D4×C89C2311yescharacteristic
391#117×C89—21no—
392#117×C89—21no—
393#117×C89—21no—
394#117×C89—21no—
395#117×C89—21no—
396#117×C89—21no—
397#117×C89—21no—
398#117×C89—21no—
399#117×C89—21no—
400#117×C89—21no—
401#117×C89—21no—
402#117×C89D411yescharacteristic
403#117×C89D411yescharacteristic
404#117×C89D411yescharacteristic
405#117×C89C2311yescharacteristic
406C2×C4⋊C4×C89—21no—
407C2×C4⋊C4×C89—21no—
408C2×C4⋊C4×C89C2311yescharacteristic
409C2×C4⋊C4×C89C2311yescharacteristic
410C2×C22⋊C4×C89—21no—
411C2×C22⋊C4×C89—21no—
412C2×C22⋊C4×C89—21no—
413C2×C22⋊C4×C89—21no—
414C2×C22⋊C4×C89—21no—
415C2×C22⋊C4×C89—21no—
416C2×C42×C89—21no—
417C2×C42×C89—21no—
418C2×C42×C89—21no—
419C2×C42×C89C2311yescharacteristic
420C2×C42×C89C2311yescharacteristic
421C2×C42×C89C2311yescharacteristic
422#107×C89C2311yescharacteristic
423#107×C89C2311yescharacteristic
424#107×C89C2311yescharacteristic
425#107×C89C2311yescharacteristic
426#106×C89C2311yescharacteristic
427#106×C89C2311yescharacteristic
428#106×C89C2311yescharacteristic
429#106×C89C2311yescharacteristic
430C4⋊C8×C89C2311yescharacteristic
431C4⋊C8×C89C2311yescharacteristic
432C4⋊C8×C89C2311yescharacteristic
433C4⋊C8×C89C2311yescharacteristic
434C4⋊C8×C89C2311yescharacteristic
435C4⋊C8×C89C2311yescharacteristic
436C4⋊C8×C89C2311yescharacteristic
437C4⋊C8×C89C2311yescharacteristic
438C4⋊C8×C89C2311yescharacteristic
439C4⋊C8×C89C2311yescharacteristic
440#103×C89C2311yescharacteristic
441#103×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#102×C89C2311yescharacteristic
459#102×C89C2311yescharacteristic
460#102×C89C2311yescharacteristic
461#102×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
472C22⋊C8×C89C2311yescharacteristic
473C22⋊C8×C89C2311yescharacteristic
474C22⋊C8×C89C2311yescharacteristic
475C22⋊C8×C89C2311yescharacteristic
476C22⋊C8×C89C2311yescharacteristic
477C22⋊C8×C89C2311yescharacteristic
478#97×C89C2311yescharacteristic
479#97×C89C2311yescharacteristic
480#97×C89C2311yescharacteristic
481#97×C89C2311yescharacteristic
482C4×C8×C89C2311yescharacteristic
483C4×C8×C89C2311yescharacteristic
484C24×C89—21no—
485C24×C89—21no—
486#41×C89—22no—
487#41×C89—42no—
488#41×C89—41no—
489#41×C89—41no—
490#41×C89—41no—
491#41×C89—41no—
492#41×C89—41no—
493#41×C89—44no—
494C2×Q8×C89—21no—
495C2×Q8×C89—21no—
496C2×Q8×C89—21no—
497C2×Q8×C89—21no—
498C2×Q8×C89—21no—
499C2×Q8×C89—22no—
500C2×Q8×C89—22no—
501C2×Q8×C89—41no—
502C2×Q8×C89—41no—
503C2×Q8×C89—41no—
504C2×Q8×C89—41no—
505C2×Q8×C89—41no—
506C2×Q8×C89—41no—
507C2×Q8×C89C2×D411yescharacteristic
508C2×Q8×C89C2411yescharacteristic
509C2×Q8×C89C2411yescharacteristic
510C2×Q8×C89C2411yescharacteristic
511C2×Q8×C89C2411yescharacteristic
512C2×Q8×C89C2411yescharacteristic
513C2×Q8×C89C2411yescharacteristic
514C2×D4×C89—21no—
515C2×D4×C89—21no—
516C2×D4×C89—21no—
517C2×D4×C89—21no—
518C2×D4×C89—21no—
519C2×D4×C89—21no—
520C2×D4×C89—21no—
521C2×D4×C89—21no—
522C2×D4×C89—21no—
523C2×D4×C89—21no—
524C2×D4×C89—21no—
525C2×D4×C89—21no—
526C2×D4×C89—41no—
527C2×D4×C89—41no—
528C2×D4×C89—41no—
529C2×D4×C89—41no—
530C2×D4×C89—44no—
531C2×D4×C89C2×D411yescharacteristic
532C2×D4×C89C2×D411yescharacteristic
533C2×D4×C89C2×D411yescharacteristic
534C2×D4×C89C2411yescharacteristic
535C2×D4×C89C2411yescharacteristic
536C2×D4×C89C2411yescharacteristic
537C2×D4×C89C2411yescharacteristic
538C22×C4×C89—21no—
539C22×C4×C89—21no—
540C22×C4×C89—21no—
541C22×C4×C89—21no—
542C22×C4×C89—21no—
543C22×C4×C89—21no—
544C22×C4×C89—21no—
545C22×C4×C89—21no—
546C22×C4×C89—21no—
547C22×C4×C89—21no—
548C22×C4×C89—21no—
549C22×C4×C89—21no—
550C22×C4×C89—21no—
551C22×C4×C89—21no—
552C22×C4×C89C2×D411yescharacteristic
553C22×C4×C89C2×D411yescharacteristic
554C22×C4×C89C2×D411yescharacteristic
555C22×C4×C89C2×D411yescharacteristic
556C22×C4×C89C2×D411yescharacteristic
557C22×C4×C89C2×D411yescharacteristic
558C22×C4×C89C2411yescharacteristic
559C22×C4×C89C2411yescharacteristic
560C22×C4×C89C2411yescharacteristic
561Q16×C89—22no—
562Q16×C89—22no—
563Q16×C89—22no—
564Q16×C89—41no—
565Q16×C89—41no—
566Q16×C89—41no—
567Q16×C89—41no—
568Q16×C89—41no—
569Q16×C89—41no—
570SD16×C89—22no—
571SD16×C89—22no—
572SD16×C89—22no—
573SD16×C89—41no—
574SD16×C89—41no—
575SD16×C89—41no—
576SD16×C89—41no—
577SD16×C89—41no—
578SD16×C89—41no—
579SD16×C89—41no—
580SD16×C89—41no—
581SD16×C89—41no—
582D8×C89—41no—
583D8×C89—41no—
584D8×C89—41no—
585M16×C89—41no—
586M16×C89—41no—
587M16×C89—41no—
588M16×C89—41no—
589C2×C8×C89—41no—
590C2×C8×C89—41no—
591C2×C8×C89C2411yescharacteristic
592C2×C8×C89C2411yescharacteristic
593C2×C8×C89C2411yescharacteristic
594C2×C8×C89C2411yescharacteristic
595C2×C8×C89C2411yescharacteristic
596C2×C8×C89C2411yescharacteristic
597C2×C8×C89C2411yescharacteristic
598C2×C8×C89C2411yescharacteristic
599C4⋊C4×C89—21no—
600C4⋊C4×C89—21no—
601C4⋊C4×C89—21no—
602C4⋊C4×C89—21no—
603C4⋊C4×C89—21no—
604C4⋊C4×C89—21no—
605C4⋊C4×C89—21no—
606C4⋊C4×C89—21no—
607C4⋊C4×C89—21no—
608C4⋊C4×C89—21no—
609C4⋊C4×C89—21no—
610C4⋊C4×C89—21no—
611C4⋊C4×C89—21no—
612C4⋊C4×C89—21no—
613C4⋊C4×C89—21no—
614C4⋊C4×C89—21no—
615C4⋊C4×C89—21no—
616C4⋊C4×C89—21no—
617C4⋊C4×C89—21no—
618C4⋊C4×C89—21no—
619C4⋊C4×C89—21no—
620C4⋊C4×C89—21no—
621C4⋊C4×C89—21no—
622C4⋊C4×C89—21no—
623C4⋊C4×C89—21no—
624C4⋊C4×C89—21no—
625C4⋊C4×C89—21no—
626C4⋊C4×C89—21no—
627C4⋊C4×C89—21no—
628C4⋊C4×C89—21no—
629C4⋊C4×C89—21no—
630C4⋊C4×C89C2×D411yescharacteristic
631C4⋊C4×C89C2×D411yescharacteristic
632C4⋊C4×C89C2×D411yescharacteristic
633C4⋊C4×C89C2×D411yescharacteristic
634C4⋊C4×C89C2×D411yescharacteristic
635C4⋊C4×C89C2×D411yescharacteristic
636C4⋊C4×C89C2411yescharacteristic
637C4⋊C4×C89C2411yescharacteristic
638C4⋊C4×C89C2411yescharacteristic
639C4⋊C4×C89C2411yescharacteristic
640C4⋊C4×C89C2411yescharacteristic
641C4⋊C4×C89C2411yescharacteristic
642C22⋊C4×C89—21no—
643C22⋊C4×C89—21no—
644C22⋊C4×C89—21no—
645C22⋊C4×C89—21no—
646C22⋊C4×C89—21no—
647C22⋊C4×C89—21no—
648C22⋊C4×C89—21no—
649C22⋊C4×C89—21no—
650C22⋊C4×C89—21no—
651C22⋊C4×C89—21no—
652C22⋊C4×C89—21no—
653C22⋊C4×C89—21no—
654C22⋊C4×C89—21no—
655C22⋊C4×C89—21no—
656C22⋊C4×C89—21no—
657C22⋊C4×C89—21no—
658C22⋊C4×C89—21no—
659C22⋊C4×C89—21no—
660C22⋊C4×C89—21no—
661C22⋊C4×C89—21no—
662C22⋊C4×C89—21no—
663C22⋊C4×C89—21no—
664C22⋊C4×C89—21no—
665C22⋊C4×C89—21no—
666C22⋊C4×C89—21no—
667C22⋊C4×C89—21no—
668C22⋊C4×C89—21no—
669C22⋊C4×C89—21no—
670C22⋊C4×C89—21no—
671C22⋊C4×C89—21no—
672C22⋊C4×C89—21no—
673C22⋊C4×C89—21no—
674C22⋊C4×C89—21no—
675C22⋊C4×C89—21no—
676C22⋊C4×C89—21no—
677C22⋊C4×C89—21no—
678C22⋊C4×C89C2×D411yescharacteristic
679C22⋊C4×C89C2×D411yescharacteristic
680C22⋊C4×C89C2×D411yescharacteristic
681C22⋊C4×C89C2×D411yescharacteristic
682C22⋊C4×C89C2×D411yescharacteristic
683C22⋊C4×C89C2×D411yescharacteristic
684C42×C89—21no—
685C42×C89—21no—
686C42×C89—21no—
687C42×C89—21no—
688C42×C89—21no—
689C42×C89—21no—
690C42×C89—21no—
691C42×C89—21no—
692C42×C89—21no—
693C42×C89—21no—
694C42×C89—21no—
695C42×C89—21no—
696C42×C89C2×D411yescharacteristic
697C42×C89C2×D411yescharacteristic
698C42×C89C2×D411yescharacteristic
699C42×C89C2×D411yescharacteristic
700C42×C89C2×D411yescharacteristic
701C42×C89C2×D411yescharacteristic
702C42×C89C2411yescharacteristic
703C42×C89C2411yescharacteristic
704C42×C89C2411yescharacteristic
705C42×C89C2411yescharacteristic
706C23×C89—21no—
707C23×C89—21no—
708C23×C89—21no—
709C23×C89—21no—
710C23×C89—42no—
711C23×C89—42no—
712C23×C89—81no—
713C23×C89—81no—
714C23×C89—81no—
715C23×C89—81no—
716C23×C89C22×D411yescharacteristic
717C23×C89C22×D411yescharacteristic
718C23×C89C22×D411yescharacteristic
719Q8×C89—21no—
720Q8×C89—21no—
721Q8×C89—21no—
722Q8×C89—21no—
723Q8×C89—21no—
724Q8×C89—21no—
725Q8×C89—21no—
726Q8×C89—21no—
727Q8×C89—21no—
728Q8×C89—21no—
729Q8×C89—21no—
730Q8×C89—41no—
731Q8×C89—42no—
732Q8×C89—42no—
733Q8×C89—42no—
734Q8×C89—81no—
735Q8×C89—81no—
736Q8×C89H(5,𝔽2)12yes—
737D4×C89—22no—
738D4×C89—22no—
739D4×C89—21no—
740D4×C89—21no—
741D4×C89—21no—
742D4×C89—21no—
743D4×C89—21no—
744D4×C89—21no—
745D4×C89—21no—
746D4×C89—21no—
747D4×C89—41no—
748D4×C89—42no—
749D4×C89—42no—
750D4×C89—42no—
751D4×C89—42no—
752D4×C89—42no—
753D4×C89—42no—
754D4×C89—81no—
755D4×C89—81no—
756D4×C89—81no—
757D4×C89—81no—
758D4×C89—81no—
759D4×C89—81no—
760C2×C4×C89—22no—
761C2×C4×C89—21no—
762C2×C4×C89—21no—
763C2×C4×C89—21no—
764C2×C4×C89—21no—
765C2×C4×C89—21no—
766C2×C4×C89—21no—
767C2×C4×C89—21no—
768C2×C4×C89—21no—
769C2×C4×C89—21no—
770C2×C4×C89—21no—
771C2×C4×C89—21no—
772C2×C4×C89—21no—
773C2×C4×C89—21no—
774C2×C4×C89—21no—
775C2×C4×C89—21no—
776C2×C4×C89—21no—
777C2×C4×C89—21no—
778C2×C4×C89—21no—
779C2×C4×C89—41no—
780C2×C4×C89—41no—
781C2×C4×C89—41no—
782C2×C4×C89—41no—
783C2×C4×C89—41no—
784C2×C4×C89—42no—
785C2×C4×C89—42no—
786C2×C4×C89—42no—
787C2×C4×C89—42no—
788C2×C4×C89—42no—
789C2×C4×C89—42no—
790C2×C4×C89—42no—
791C2×C4×C89—42no—
792C2×C4×C89—81no—
793C2×C4×C89—81no—
794C2×C4×C89—81no—
795C2×C4×C89—81no—
796C2×C4×C89—81no—
797C2×C4×C89—81no—
798C2×C4×C89C22×D411yescharacteristic
799C2×C4×C89C22×D411yescharacteristic
800C2×C4×C89C22×D411yescharacteristic
801C2×C4×C89C22×D411yescharacteristic
802C2×C4×C89C22×D411yescharacteristic
803C2×C4×C89C22×D411yescharacteristic
804C2×C4×C89C22×D411yescharacteristic
805C2×C4×C89C22×D411yescharacteristic
806C2×C4×C89C22×D411yescharacteristic
807C2×C4×C89C22×D411yescharacteristic
808C2×C4×C89C22×D411yescharacteristic
809C2×C4×C89C2511yescharacteristic
810C8×C89—21no—
811C8×C89—21no—
812C8×C89—21no—
813C8×C89—21no—
814C8×C89—21no—
815C8×C89—21no—
816C8×C89—21no—
817C8×C89—21no—
818C22×C89—21no—
819C22×C89—21no—
820C22×C89—21no—
821C22×C89—21no—
822C22×C89—21no—
823C22×C89—21no—
824C22×C89—21no—
825C22×C89—21no—
826C22×C89—41no—
827C22×C89—41no—
828C22×C89—41no—
829C22×C89—41no—
830C22×C89—41no—
831C22×C89—41no—
832C22×C89—41no—
833C22×C89—41no—
834C22×C89—41no—
835C22×C89—41no—
836C22×C89—41no—
837C22×C89—41no—
838C22×C89—162no—
839C22×C89—162no—
840C22×C89#57512yes—
841C22×C89C23×D411yescharacteristic
842C4×C89—21no—
843C4×C89—21no—
844C4×C89—21no—
845C4×C89—21no—
846C4×C89—21no—
847C4×C89—21no—
848C4×C89—21no—
849C4×C89—22no—
850C4×C89—21no—
851C4×C89—21no—
852C4×C89—21no—
853C4×C89—21no—
854C4×C89—41no—
855C4×C89—41no—
856C4×C89—41no—
857C4×C89—41no—
858C4×C89—41no—
859C4×C89—41no—
860C4×C89—41no—
861C4×C89—41no—
862C4×C89—41no—
863C4×C89—41no—
864C4×C89—41no—
865C4×C89C2×H(5,𝔽2)11yescharacteristic
866C4×C89#58511yescharacteristic
867#61972C8911yesmaximal, characteristic, direct product factor, Sylow
868C2×C89—22no—
869C2×C89—41no—
870C2×C89—41no—
871C2×C89—81no—
872C2×C89—81no—
873C2×C89—81no—
874C2×C89—81no—
875C2×C89#348811yescharacteristic
876C2×C89C2×#57511yescharacteristic
877C2×C89#358611yescharacteristic
878#3514C2×C8911yescharacteristic, complemented
879#3482C2×C8911yescharacteristic, complemented
880#3402C2×C8911yescharacteristic, complemented
881#3401C2×C8911yescharacteristic, complemented
882#3377C2×C8911yescharacteristic, complemented
883#3371C2×C8911yescharacteristic, complemented
884#3327C2×C8911yescharacteristic, complemented
885#3323C2×C8911yescharacteristic, complemented
886#3312C2×C8911yescharacteristic, complemented
887#3310C2×C8911yescharacteristic, complemented
888#3308C2×C8911yescharacteristic, complemented
889#3306C2×C8911yescharacteristic, complemented
890#3277C2×C8911yescharacteristic, complemented
891#3275C2×C8911yescharacteristic, complemented
892#3270C2×C8911yescharacteristic, complemented
893#3270C2×C8911yescharacteristic, complemented
894#3266C2×C8911yescharacteristic, complemented
895#3265C2×C8911yescharacteristic, complemented
896#3256C2×C8911yescharacteristic, complemented
897#3252C2×C8911yescharacteristic, complemented
898#3250C2×C8911yescharacteristic, complemented
899#3219C2×C8911yescharacteristic, complemented
900#3215C2×C8911yescharacteristic, complemented
901#3211C2×C8911yescharacteristic, complemented
902#3117C2×C8911yescharacteristic, complemented
903#3111C2×C8911yescharacteristic, complemented
904#3108C2×C8911yescharacteristic, complemented
905#3040C2×C8911yescharacteristic, complemented
906#3037C2×C8911yescharacteristic, complemented
907C2×#464C2×C8911yescharacteristic, complemented
908#2989C2×C8911yescharacteristic, complemented
909C89#6197211yescharacteristic, direct product factor, Sylow
910C2×#137C22×C8911yescharacteristic, complemented
911C2×#137C22×C8911yescharacteristic, complemented
912C2×#137C22×C8911yescharacteristic, complemented
913C2×AGL(1,ℤ/8)C22×C8911yescharacteristic
914C22×Q16C22×C8911yescharacteristic, complemented
915C22×SD16C22×C8911yescharacteristic
916#559C22×C8911yescharacteristic
917#557C22×C8911yescharacteristic, complemented
918#556—21no—
919#556C22×C8911yescharacteristic
920#556C22×C8911yescharacteristic, complemented
921#555—21no—
922#552—21no—
923#552—21no—
924#552C22×C8911yescharacteristic
925#552C22×C8911yescharacteristic, complemented
926#551—21no—
927#551—21no—
928D4×Q8C22×C8911yescharacteristic
929D4×Q8C22×C8911yescharacteristic, complemented
930#548C22×C8911yescharacteristic
931#548C22×C8911yescharacteristic
932#548C22×C8911yescharacteristic
933#548C22×C8911yescharacteristic, complemented
934#547—21no—
935#547C22×C8911yescharacteristic, complemented
936#546—21no—
937#546C22×C8911yescharacteristic
938#546C22×C8911yescharacteristic
939D42C22×C8911yescharacteristic
940#542—21no—
941#538—21no—
942#538—21no—
943#533—21no—
944#533C22×C8911yescharacteristic, complemented
945#532C22×C8911yescharacteristic
946#529—21no—
947#529—21no—
948#529C22×C8911yescharacteristic
949#529C22×C8911yescharacteristic
950#529C22×C8911yescharacteristic
951#529C22×C8911yescharacteristic, complemented
952#529C22×C8911yescharacteristic, complemented
953C2×#124C22×C8911yescharacteristic
954C2×#124C22×C8911yescharacteristic
955#518—21no—
956C4×#41—21no—
957C4×#41C22×C8911yescharacteristic
958C4×#41C22×C8911yescharacteristic, complemented
959C2×C4×Q8C22×C8911yescharacteristic, complemented
960C2×C4×Q8C22×C8911yescharacteristic, complemented
961#497C22×C8911yescharacteristic
962#497C22×C8911yescharacteristic, complemented
963#497C22×C8911yescharacteristic, complemented
964#496C22×C8911yescharacteristic
965#495C22×C8911yescharacteristic
966#495C22×C8911yescharacteristic, complemented
967#491C22×C8911yescharacteristic, complemented
968#490C22×C8911yescharacteristic
969#489C22×C8911yescharacteristic
970#489C22×C8911yescharacteristic, complemented
971#488C22×C8911yescharacteristic
972#488C22×C8911yescharacteristic, complemented
973#485C22×C8911yescharacteristic, complemented
974#484C22×C8911yescharacteristic, complemented
975#483C22×C8911yescharacteristic, complemented
976#482C22×C8911yescharacteristic
977#481C22×C8911yescharacteristic
978#480C22×C8911yescharacteristic
979#479C22×C8911yescharacteristic, complemented
980#479C22×C8911yescharacteristic, complemented
981#479C22×C8911yescharacteristic, complemented
982#479C22×C8911yescharacteristic, complemented
983#479C22×C8911yescharacteristic, complemented
984#478C22×C8911yescharacteristic
985#478C22×C8911yescharacteristic, complemented
986#478C22×C8911yescharacteristic, complemented
987#477C22×C8911yescharacteristic, complemented
988#476C22×C8911yescharacteristic, complemented
989#470C22×C8911yescharacteristic, complemented
990#470C22×C8911yescharacteristic, complemented
991#470C22×C8911yescharacteristic, complemented
992#469C22×C8911yescharacteristic
993#468C22×C8911yescharacteristic
994#468C22×C8911yescharacteristic
995#468C22×C8911yescharacteristic
996#468C22×C8911yescharacteristic, complemented
997#467C22×C8911yescharacteristic, complemented
998#466C22×C8911yescharacteristic
999#465C22×C8911yescharacteristic
1000#465C22×C8911yescharacteristic, complemented
1001#464C22×C8911yescharacteristic
1002#464C22×C8911yescharacteristic
1003#464C22×C8911yescharacteristic
1004#464C22×C8911yescharacteristic
1005#464C22×C8911yescharacteristic
1006#464C22×C8911yescharacteristic
1007#464C22×C8911yescharacteristic, complemented
1008#464C22×C8911yescharacteristic, complemented
1009#464C22×C8911yescharacteristic, complemented
1010#464C22×C8911yescharacteristic, complemented
1011#464C22×C8911yescharacteristic, complemented
1012#464C22×C8911yescharacteristic, complemented
1013#464C22×C8911yescharacteristic, complemented
1014#464C22×C8911yescharacteristic, complemented
1015#464C22×C8911yescharacteristic, complemented
1016#464C22×C8911yescharacteristic, complemented
1017#464C22×C8911yescharacteristic, complemented
1018#463C22×C8911yescharacteristic
1019#463C22×C8911yescharacteristic
1020#463C22×C8911yescharacteristic
1021#463C22×C8911yescharacteristic, complemented
1022#463C22×C8911yescharacteristic, complemented
1023#463C22×C8911yescharacteristic, complemented
1024#463C22×C8911yescharacteristic, complemented
1025#462C22×C8911yescharacteristic, complemented
1026#462C22×C8911yescharacteristic, complemented
1027#462C22×C8911yescharacteristic, complemented
1028#461C22×C8911yescharacteristic, complemented
1029#460C22×C8911yescharacteristic
1030#460C22×C8911yescharacteristic
1031#452C22×C8911yescharacteristic, complemented
1032#452C22×C8911yescharacteristic, complemented
1033#452C22×C8911yescharacteristic, complemented
1034#451C22×C8911yescharacteristic, complemented
1035#451C22×C8911yescharacteristic, complemented
1036#451C22×C8911yescharacteristic, complemented
1037#451C22×C8911yescharacteristic, complemented
1038#451C22×C8911yescharacteristic, complemented
1039#450C22×C8911yescharacteristic
1040#450C22×C8911yescharacteristic
1041#450C22×C8911yescharacteristic
1042#449C22×C8911yescharacteristic
1043#449C22×C8911yescharacteristic, complemented
1044#449C22×C8911yescharacteristic, complemented
1045#448C22×C8911yescharacteristic
1046#448C22×C8911yescharacteristic
1047#448C22×C8911yescharacteristic, complemented
1048#447C22×C8911yescharacteristic
1049#446C22×C8911yescharacteristic, complemented
1050#446C22×C8911yescharacteristic, complemented
1051#442C22×C8911yescharacteristic, complemented
1052#441C22×C8911yescharacteristic, complemented
1053#441C22×C8911yescharacteristic, complemented
1054#441C22×C8911yescharacteristic, complemented
1055#440C22×C8911yescharacteristic
1056#440C22×C8911yescharacteristic
1057#440C22×C8911yescharacteristic, complemented
1058#440C22×C8911yescharacteristic, complemented
1059C4×Q16C22×C8911yescharacteristic, complemented
1060C4×Q16C22×C8911yescharacteristic, complemented
1061C4×SD16C22×C8911yescharacteristic, complemented
1062C4×SD16C22×C8911yescharacteristic, complemented
1063#436C22×C8911yescharacteristic, complemented
1064#436C22×C8911yescharacteristic, complemented
1065#435C22×C8911yescharacteristic
1066#435C22×C8911yescharacteristic
1067#435C22×C8911yescharacteristic, complemented
1068#435C22×C8911yescharacteristic, complemented
1069#432C22×C8911yescharacteristic, complemented
1070#432C22×C8911yescharacteristic, complemented
1071#431C22×C8911yescharacteristic, complemented
1072#423C22×C8911yescharacteristic, complemented
1073#423C22×C8911yescharacteristic, complemented
1074C2×C4⋊C8C22×C8911yescharacteristic, complemented
1075#419C22×C8911yescharacteristic, complemented
1076#418C22×C8911yescharacteristic
1077#417C22×C8911yescharacteristic, complemented
1078#417C22×C8911yescharacteristic, complemented
1079C2×#103C22×C8911yescharacteristic, complemented
1080C2×#102C22×C8911yescharacteristic
1081C2×#41—21no—
1082C2×#41D4×C8911yescharacteristic
1083C2×#41C23×C8911yescharacteristic
1084C2×#41C23×C8911yescharacteristic
1085C2×#41C23×C8911yescharacteristic
1086C22×Q8C23×C8911yescharacteristic
1087C22×Q8C23×C8911yescharacteristic
1088C22×Q8C23×C8911yescharacteristic
1089C22×Q8C23×C8911yescharacteristic
1090C22×D4—21no—
1091C22×D4C23×C8911yescharacteristic
1092C22×D4C23×C8911yescharacteristic
1093#137—42no—
1094#137—42no—
1095#137—42no—
1096AGL(1,ℤ/8)—42no—
1097C2×Q16—42no—
1098C2×Q16C23×C8911yescharacteristic
1099C2×Q16C23×C8911yescharacteristic
1100C2×Q16C23×C8911yescharacteristic
1101C2×Q16C23×C8911yescharacteristic
1102C2×Q16C23×C8911yescharacteristic
1103C2×Q16C23×C8911yescharacteristic
1104C2×Q16C23×C8911yescharacteristic
1105C2×Q16C23×C8911yescharacteristic
1106C2×Q16C23×C8911yescharacteristic
1107C2×SD16—42no—
1108C2×SD16C23×C8911yescharacteristic
1109C2×SD16C23×C8911yescharacteristic
1110C2×SD16C23×C8911yescharacteristic
1111C2×SD16C23×C8911yescharacteristic
1112C2×SD16C23×C8911yescharacteristic
1113C2×SD16C23×C8911yescharacteristic
1114C2×SD16C23×C8911yescharacteristic
1115C2×SD16C23×C8911yescharacteristic
1116C2×SD16C23×C8911yescharacteristic
1117C2×SD16C23×C8911yescharacteristic
1118C2×SD16C23×C8911yescharacteristic
1119C2×SD16C23×C8911yescharacteristic
1120C2×D8C23×C8911yescharacteristic
1121C2×D8C23×C8911yescharacteristic
1122C2×D8C23×C8911yescharacteristic
1123C2×M16C23×C8911yescharacteristic
1124C2×M16C23×C8911yescharacteristic
1125C2×M16C23×C8911yescharacteristic
1126C2×M16C23×C8911yescharacteristic
1127C22×C8C23×C8911yescharacteristic
1128C22×C8C23×C8911yescharacteristic
1129C4⋊Q8—21no—
1130C4⋊Q8—21no—
1131C4⋊Q8—21no—
1132C4⋊Q8C23×C8911yescharacteristic
1133C4⋊Q8C23×C8911yescharacteristic
1134C4⋊Q8C23×C8911yescharacteristic
1135#127C23×C8911yescharacteristic
1136#126—21no—
1137#126—21no—
1138#126—21no—
1139#126—21no—
1140#126—21no—
1141#126—21no—
1142#126—21no—
1143#126—21no—
1144#126—21no—
1145#126—21no—
1146#126—21no—
1147#125—21no—
1148#125—21no—
1149#125—21no—
1150#125—21no—
1151#125—21no—
1152#125C23×C8911yescharacteristic
1153#125C23×C8911yescharacteristic
1154#125C23×C8911yescharacteristic
1155#124—21no—
1156#124—21no—
1157#124—21no—
1158#124—21no—
1159#124—21no—
1160#124—21no—
1161#124—21no—
1162#124—21no—
1163#124—21no—
1164#124C23×C8911yescharacteristic
1165#124C23×C8911yescharacteristic
1166#124C23×C8911yescharacteristic
1167#124C23×C8911yescharacteristic
1168#124C23×C8911yescharacteristic
1169#124C23×C8911yescharacteristic
1170#124C23×C8911yescharacteristic
1171#124C23×C8911yescharacteristic
1172#124C23×C8911yescharacteristic
1173#123—21no—
1174#123—21no—
1175#123—21no—
1176#123—21no—
1177#123—21no—
1178#123—21no—
1179#123—21no—
1180#123—21no—
1181#123—21no—
1182#123—21no—
1183#123—21no—
1184#123—21no—
1185#123—21no—
1186C22⋊Q8—21no—
1187C22⋊Q8—21no—
1188C22⋊Q8—21no—
1189C22⋊Q8—21no—
1190C22⋊Q8—21no—
1191C22⋊Q8—21no—
1192C22⋊Q8—21no—
1193C22⋊Q8—21no—
1194C22⋊Q8—21no—
1195C22⋊Q8—21no—
1196C22⋊Q8—21no—
1197C22⋊Q8—21no—
1198C22⋊Q8C23×C8911yescharacteristic
1199C22⋊Q8C23×C8911yescharacteristic
1200C22⋊Q8C23×C8911yescharacteristic
1201C22⋊Q8C23×C8911yescharacteristic
1202C22⋊Q8C23×C8911yescharacteristic
1203C22⋊Q8C23×C8911yescharacteristic
1204C22⋊Q8C23×C8911yescharacteristic
1205#121—21no—
1206#121—21no—
1207#121—21no—
1208#121—21no—
1209#121—21no—
1210#121—21no—
1211#121—21no—
1212#121—21no—
1213#121—21no—
1214#121C23×C8911yescharacteristic
1215#121C23×C8911yescharacteristic
1216#121C23×C8911yescharacteristic
1217#121C23×C8911yescharacteristic
1218#121C23×C8911yescharacteristic
1219#120—21no—
1220#120—21no—
1221#120—21no—
1222#120—21no—
1223C4×Q8—21no—
1224C4×Q8—21no—
1225C4×Q8—21no—
1226C4×Q8—21no—
1227C4×Q8—21no—
1228C4×Q8—21no—
1229C4×Q8D4×C8911yescharacteristic
1230C4×Q8C23×C8911yescharacteristic
1231C4×Q8C23×C8911yescharacteristic
1232C4×Q8C23×C8911yescharacteristic
1233C4×Q8C23×C8911yescharacteristic
1234C4×Q8C23×C8911yescharacteristic
1235C4×Q8C23×C8911yescharacteristic
1236C4×Q8C23×C8911yescharacteristic
1237C4×Q8C23×C8911yescharacteristic
1238C4×Q8C23×C8911yescharacteristic
1239C4×Q8C23×C8911yescharacteristic
1240C4×Q8C23×C8911yescharacteristic
1241C4×Q8C23×C8911yescharacteristic
1242C4×D4—21no—
1243C4×D4—21no—
1244C4×D4—21no—
1245C4×D4—21no—
1246C4×D4—21no—
1247C4×D4—21no—
1248C4×D4—21no—
1249C4×D4—21no—
1250C4×D4—21no—
1251C4×D4—21no—
1252C4×D4—21no—
1253C4×D4—21no—
1254C4×D4—21no—
1255C4×D4—21no—
1256C4×D4—21no—
1257C4×D4—21no—
1258C4×D4D4×C8911yescharacteristic
1259C4×D4D4×C8911yescharacteristic
1260C4×D4D4×C8911yescharacteristic
1261C4×D4C23×C8911yescharacteristic
1262C4×D4C23×C8911yescharacteristic
1263C4×D4C23×C8911yescharacteristic
1264C4×D4C23×C8911yescharacteristic
1265C4×D4C23×C8911yescharacteristic
1266C4×D4C23×C8911yescharacteristic
1267C4×D4C23×C8911yescharacteristic
1268C4×D4C23×C8911yescharacteristic
1269#117—21no—
1270#117—21no—
1271#117—21no—
1272#117—21no—
1273#117—21no—
1274#117—21no—
1275#117—21no—
1276#117—21no—
1277#117—21no—
1278#117—21no—
1279#117—21no—
1280#117D4×C8911yescharacteristic
1281#117D4×C8911yescharacteristic
1282#117D4×C8911yescharacteristic
1283#117C23×C8911yescharacteristic
1284C2×C4⋊C4—21no—
1285C2×C4⋊C4—21no—
1286C2×C4⋊C4C23×C8911yescharacteristic
1287C2×C4⋊C4C23×C8911yescharacteristic
1288C2×C22⋊C4—21no—
1289C2×C22⋊C4—21no—
1290C2×C22⋊C4—21no—
1291C2×C22⋊C4—21no—
1292C2×C22⋊C4—21no—
1293C2×C22⋊C4—21no—
1294C2×C42—21no—
1295C2×C42—21no—
1296C2×C42—21no—
1297C2×C42C23×C8911yescharacteristic
1298C2×C42C23×C8911yescharacteristic
1299C2×C42C23×C8911yescharacteristic
1300#107C23×C8911yescharacteristic
1301#107C23×C8911yescharacteristic
1302#107C23×C8911yescharacteristic
1303#107C23×C8911yescharacteristic
1304#106C23×C8911yescharacteristic
1305#106C23×C8911yescharacteristic
1306#106C23×C8911yescharacteristic
1307#106C23×C8911yescharacteristic
1308C4⋊C8C23×C8911yescharacteristic
1309C4⋊C8C23×C8911yescharacteristic
1310C4⋊C8C23×C8911yescharacteristic
1311C4⋊C8C23×C8911yescharacteristic
1312C4⋊C8C23×C8911yescharacteristic
1313C4⋊C8C23×C8911yescharacteristic
1314C4⋊C8C23×C8911yescharacteristic
1315C4⋊C8C23×C8911yescharacteristic
1316C4⋊C8C23×C8911yescharacteristic
1317C4⋊C8C23×C8911yescharacteristic
1318#103C23×C8911yescharacteristic
1319#103C23×C8911yescharacteristic
1320#103C23×C8911yescharacteristic
1321#103C23×C8911yescharacteristic
1322#103C23×C8911yescharacteristic
1323#103C23×C8911yescharacteristic
1324#103C23×C8911yescharacteristic
1325#103C23×C8911yescharacteristic
1326#103C23×C8911yescharacteristic
1327#103C23×C8911yescharacteristic
1328#103C23×C8911yescharacteristic
1329#103C23×C8911yescharacteristic
1330#103C23×C8911yescharacteristic
1331#103C23×C8911yescharacteristic
1332#103C23×C8911yescharacteristic
1333#103C23×C8911yescharacteristic
1334#103C23×C8911yescharacteristic
1335#103C23×C8911yescharacteristic
1336#102C23×C8911yescharacteristic
1337#102C23×C8911yescharacteristic
1338#102C23×C8911yescharacteristic
1339#102C23×C8911yescharacteristic
1340#102C23×C8911yescharacteristic
1341#102C23×C8911yescharacteristic
1342#102C23×C8911yescharacteristic
1343#102C23×C8911yescharacteristic
1344#102C23×C8911yescharacteristic
1345#102C23×C8911yescharacteristic
1346#102C23×C8911yescharacteristic
1347#102C23×C8911yescharacteristic
1348#102C23×C8911yescharacteristic
1349#102C23×C8911yescharacteristic
1350C22⋊C8C23×C8911yescharacteristic
1351C22⋊C8C23×C8911yescharacteristic
1352C22⋊C8C23×C8911yescharacteristic
1353C22⋊C8C23×C8911yescharacteristic
1354C22⋊C8C23×C8911yescharacteristic
1355C22⋊C8C23×C8911yescharacteristic
1356#97C23×C8911yescharacteristic
1357#97C23×C8911yescharacteristic
1358#97C23×C8911yescharacteristic
1359#97C23×C8911yescharacteristic
1360C4×C8C23×C8911yescharacteristic
1361C4×C8C23×C8911yescharacteristic
1362C24—21no—
1363C24—21no—
1364#41—22no—
1365#41—42no—
1366#41—41no—
1367#41—41no—
1368#41—41no—
1369#41—41no—
1370#41—41no—
1371#41—44no—
1372C2×Q8—21no—
1373C2×Q8—21no—
1374C2×Q8—21no—
1375C2×Q8—21no—
1376C2×Q8—21no—
1377C2×Q8—22no—
1378C2×Q8—22no—
1379C2×Q8—41no—
1380C2×Q8—41no—
1381C2×Q8—41no—
1382C2×Q8—41no—
1383C2×Q8—41no—
1384C2×Q8—41no—
1385C2×Q8C2×D4×C8911yescharacteristic
1386C2×Q8C24×C8911yescharacteristic
1387C2×Q8C24×C8911yescharacteristic
1388C2×Q8C24×C8911yescharacteristic
1389C2×Q8C24×C8911yescharacteristic
1390C2×Q8C24×C8911yescharacteristic
1391C2×Q8C24×C8911yescharacteristic
1392C2×D4—21no—
1393C2×D4—21no—
1394C2×D4—21no—
1395C2×D4—21no—
1396C2×D4—21no—
1397C2×D4—21no—
1398C2×D4—21no—
1399C2×D4—21no—
1400C2×D4—21no—
1401C2×D4—21no—
1402C2×D4—21no—
1403C2×D4—21no—
1404C2×D4—41no—
1405C2×D4—41no—
1406C2×D4—41no—
1407C2×D4—41no—
1408C2×D4—44no—
1409C2×D4C2×D4×C8911yescharacteristic
1410C2×D4C2×D4×C8911yescharacteristic
1411C2×D4C2×D4×C8911yescharacteristic
1412C2×D4C24×C8911yescharacteristic
1413C2×D4C24×C8911yescharacteristic
1414C2×D4C24×C8911yescharacteristic
1415C2×D4C24×C8911yescharacteristic
1416C22×C4—21no—
1417C22×C4—21no—
1418C22×C4—21no—
1419C22×C4—21no—
1420C22×C4—21no—
1421C22×C4—21no—
1422C22×C4—21no—
1423C22×C4—21no—
1424C22×C4—21no—
1425C22×C4—21no—
1426C22×C4—21no—
1427C22×C4—21no—
1428C22×C4—21no—
1429C22×C4—21no—
1430C22×C4C2×D4×C8911yescharacteristic
1431C22×C4C2×D4×C8911yescharacteristic
1432C22×C4C2×D4×C8911yescharacteristic
1433C22×C4C2×D4×C8911yescharacteristic
1434C22×C4C2×D4×C8911yescharacteristic
1435C22×C4C2×D4×C8911yescharacteristic
1436C22×C4C24×C8911yescharacteristic
1437C22×C4C24×C8911yescharacteristic
1438C22×C4C24×C8911yescharacteristic
1439Q16—22no—
1440Q16—22no—
1441Q16—22no—
1442Q16—41no—
1443Q16—41no—
1444Q16—41no—
1445Q16—41no—
1446Q16—41no—
1447Q16—41no—
1448SD16—22no—
1449SD16—22no—
1450SD16—22no—
1451SD16—41no—
1452SD16—41no—
1453SD16—41no—
1454SD16—41no—
1455SD16—41no—
1456SD16—41no—
1457SD16—41no—
1458SD16—41no—
1459SD16—41no—
1460D8—41no—
1461D8—41no—
1462D8—41no—
1463M16—41no—
1464M16—41no—
1465M16—41no—
1466M16—41no—
1467C2×C8—41no—
1468C2×C8—41no—
1469C2×C8C24×C8911yescharacteristic
1470C2×C8C24×C8911yescharacteristic
1471C2×C8C24×C8911yescharacteristic
1472C2×C8C24×C8911yescharacteristic
1473C2×C8C24×C8911yescharacteristic
1474C2×C8C24×C8911yescharacteristic
1475C2×C8C24×C8911yescharacteristic
1476C2×C8C24×C8911yescharacteristic
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—21no—
1480C4⋊C4—21no—
1481C4⋊C4—21no—
1482C4⋊C4—21no—
1483C4⋊C4—21no—
1484C4⋊C4—21no—
1485C4⋊C4—21no—
1486C4⋊C4—21no—
1487C4⋊C4—21no—
1488C4⋊C4—21no—
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—21no—
1492C4⋊C4—21no—
1493C4⋊C4—21no—
1494C4⋊C4—21no—
1495C4⋊C4—21no—
1496C4⋊C4—21no—
1497C4⋊C4—21no—
1498C4⋊C4—21no—
1499C4⋊C4—21no—
1500C4⋊C4—21no—
1501C4⋊C4—21no—
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—21no—
1506C4⋊C4—21no—
1507C4⋊C4—21no—
1508C4⋊C4C2×D4×C8911yescharacteristic
1509C4⋊C4C2×D4×C8911yescharacteristic
1510C4⋊C4C2×D4×C8911yescharacteristic
1511C4⋊C4C2×D4×C8911yescharacteristic
1512C4⋊C4C2×D4×C8911yescharacteristic
1513C4⋊C4C2×D4×C8911yescharacteristic
1514C4⋊C4C24×C8911yescharacteristic
1515C4⋊C4C24×C8911yescharacteristic
1516C4⋊C4C24×C8911yescharacteristic
1517C4⋊C4C24×C8911yescharacteristic
1518C4⋊C4C24×C8911yescharacteristic
1519C4⋊C4C24×C8911yescharacteristic
1520C22⋊C4—21no—
1521C22⋊C4—21no—
1522C22⋊C4—21no—
1523C22⋊C4—21no—
1524C22⋊C4—21no—
1525C22⋊C4—21no—
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—21no—
1534C22⋊C4—21no—
1535C22⋊C4—21no—
1536C22⋊C4—21no—
1537C22⋊C4—21no—
1538C22⋊C4—21no—
1539C22⋊C4—21no—
1540C22⋊C4—21no—
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—21no—
1551C22⋊C4—21no—
1552C22⋊C4—21no—
1553C22⋊C4—21no—
1554C22⋊C4—21no—
1555C22⋊C4—21no—
1556C22⋊C4C2×D4×C8911yescharacteristic
1557C22⋊C4C2×D4×C8911yescharacteristic
1558C22⋊C4C2×D4×C8911yescharacteristic
1559C22⋊C4C2×D4×C8911yescharacteristic
1560C22⋊C4C2×D4×C8911yescharacteristic
1561C22⋊C4C2×D4×C8911yescharacteristic
1562C42—21no—
1563C42—21no—
1564C42—21no—
1565C42—21no—
1566C42—21no—
1567C42—21no—
1568C42—21no—
1569C42—21no—
1570C42—21no—
1571C42—21no—
1572C42—21no—
1573C42—21no—
1574C42C2×D4×C8911yescharacteristic
1575C42C2×D4×C8911yescharacteristic
1576C42C2×D4×C8911yescharacteristic
1577C42C2×D4×C8911yescharacteristic
1578C42C2×D4×C8911yescharacteristic
1579C42C2×D4×C8911yescharacteristic
1580C42C24×C8911yescharacteristic
1581C42C24×C8911yescharacteristic
1582C42C24×C8911yescharacteristic
1583C42C24×C8911yescharacteristic
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—42no—
1589C23—42no—
1590C23—81no—
1591C23—81no—
1592C23—81no—
1593C23—81no—
1594C23C22×D4×C8911yescharacteristic
1595C23C22×D4×C8911yescharacteristic
1596C23C22×D4×C8911yescharacteristic
1597Q8—21no—
1598Q8—21no—
1599Q8—21no—
1600Q8—21no—
1601Q8—21no—
1602Q8—21no—
1603Q8—21no—
1604Q8—21no—
1605Q8—21no—
1606Q8—21no—
1607Q8—21no—
1608Q8—41no—
1609Q8—42no—
1610Q8—42no—
1611Q8—42no—
1612Q8—81no—
1613Q8—81no—
1614Q8H(5,𝔽2)×C8912yes—
1615D4—22no—
1616D4—22no—
1617D4—21no—
1618D4—21no—
1619D4—21no—
1620D4—21no—
1621D4—21no—
1622D4—21no—
1623D4—21no—
1624D4—21no—
1625D4—41no—
1626D4—42no—
1627D4—42no—
1628D4—42no—
1629D4—42no—
1630D4—42no—
1631D4—42no—
1632D4—81no—
1633D4—81no—
1634D4—81no—
1635D4—81no—
1636D4—81no—
1637D4—81no—
1638C2×C4—22no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—41no—
1658C2×C4—41no—
1659C2×C4—41no—
1660C2×C4—41no—
1661C2×C4—41no—
1662C2×C4—42no—
1663C2×C4—42no—
1664C2×C4—42no—
1665C2×C4—42no—
1666C2×C4—42no—
1667C2×C4—42no—
1668C2×C4—42no—
1669C2×C4—42no—
1670C2×C4—81no—
1671C2×C4—81no—
1672C2×C4—81no—
1673C2×C4—81no—
1674C2×C4—81no—
1675C2×C4—81no—
1676C2×C4C22×D4×C8911yescharacteristic
1677C2×C4C22×D4×C8911yescharacteristic
1678C2×C4C22×D4×C8911yescharacteristic
1679C2×C4C22×D4×C8911yescharacteristic
1680C2×C4C22×D4×C8911yescharacteristic
1681C2×C4C22×D4×C8911yescharacteristic
1682C2×C4C22×D4×C8911yescharacteristic
1683C2×C4C22×D4×C8911yescharacteristic
1684C2×C4C22×D4×C8911yescharacteristic
1685C2×C4C22×D4×C8911yescharacteristic
1686C2×C4C22×D4×C8911yescharacteristic
1687C2×C4C25×C8911yescharacteristic
1688C8—21no—
1689C8—21no—
1690C8—21no—
1691C8—21no—
1692C8—21no—
1693C8—21no—
1694C8—21no—
1695C8—21no—
1696C22—21no—
1697C22—21no—
1698C22—21no—
1699C22—21no—
1700C22—21no—
1701C22—21no—
1702C22—21no—
1703C22—21no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—162no—
1717C22—162no—
1718C22#575×C8912yes—
1719C22C23×D4×C8911yescharacteristic
1720C4—21no—
1721C4—21no—
1722C4—21no—
1723C4—21no—
1724C4—21no—
1725C4—21no—
1726C4—21no—
1727C4—21no—
1728C4—21no—
1729C4—21no—
1730C4—21no—
1731C4—22no—
1732C4—41no—
1733C4—41no—
1734C4—41no—
1735C4—41no—
1736C4—41no—
1737C4—41no—
1738C4—41no—
1739C4—41no—
1740C4—41no—
1741C4—41no—
1742C4—41no—
1743C4C2×H(5,𝔽2)×C8911yescharacteristic
1744C4#585×C8911yescharacteristic
1745C2—22no—
1746C2—41no—
1747C2—41no—
1748C2—81no—
1749C2—81no—
1750C2—81no—
1751C2—81no—
1752C2C89×#348811yescharacteristic
1753C2C2×#575×C8911yescharacteristic
1754C2C89×#358611yescharacteristic
subgroupG/H
center, socleC22×C89C23×D4
commutator, Frattini, cosocleC2×C4C25×C89
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C89 ◁ C4×#41×C89 ◁ G

Complements

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

NH ≅ G/Ntype
1. C89×#3514C2semidirect
2. C89×#3482C2semidirect
3. C89×#3402C2semidirect
4. C89×#3401C2semidirect
5. C89×#3377C2semidirect
6. C89×#3371C2semidirect
7. C89×#3327C2semidirect
8. C89×#3323C2semidirect
9. C89×#3312C2semidirect
10. C89×#3310C2semidirect
11. C89×#3308C2semidirect
12. C89×#3306C2semidirect
13. C89×#3277C2semidirect
14. C89×#3275C2semidirect
15. C89×#3270C2semidirect
16. C89×#3270C2semidirect
17. C89×#3266C2semidirect
18. C89×#3265C2semidirect
19. C89×#3256C2semidirect
20. C89×#3252C2semidirect
21. C89×#3250C2semidirect
22. C89×#3219C2semidirect
23. C89×#3215C2semidirect
24. C89×#3211C2semidirect
25. C89×#3117C2semidirect
26. C89×#3111C2semidirect
27. C89×#3108C2semidirect
28. C89×#3040C2semidirect
29. C89×#3037C2semidirect
30. C2×#464×C89C2semidirect
31. C89×#2989C2semidirect
32. C2×#137×C89C22semidirect
33. C2×#137×C89C22semidirect
34. C2×#137×C89C22semidirect
36. C22×Q16×C89C22semidirect
39. #557×C89C22semidirect
42. #556×C89C22semidirect
47. #552×C89C22semidirect
51. D4×Q8×C89C22semidirect
55. #548×C89C22semidirect
57. #547×C89C22semidirect
66. #533×C89C22semidirect
73. #529×C89C22semidirect
74. #529×C89C22semidirect
80. C4×#41×C89C22semidirect
81. C2×C4×Q8×C89C22semidirect
82. C2×C4×Q8×C89C22semidirect
84. #497×C89C22semidirect
85. #497×C89C22semidirect
88. #495×C89C22semidirect
89. #491×C89C22semidirect
92. #489×C89C22semidirect
94. #488×C89C22semidirect
95. #485×C89C22semidirect
96. #484×C89C22semidirect
97. #483×C89C22semidirect
101. #479×C89C22semidirect
102. #479×C89C22semidirect
103. #479×C89C22semidirect
104. #479×C89C22semidirect
105. #479×C89C22semidirect
107. #478×C89C22semidirect
108. #478×C89C22semidirect
109. #477×C89C22semidirect
110. #476×C89C22semidirect
111. #470×C89C22semidirect
112. #470×C89C22semidirect
113. #470×C89C22semidirect
118. #468×C89C22semidirect
119. #467×C89C22semidirect
122. #465×C89C22semidirect
129. #464×C89C22semidirect
130. #464×C89C22semidirect
131. #464×C89C22semidirect
132. #464×C89C22semidirect
133. #464×C89C22semidirect
134. #464×C89C22semidirect
135. #464×C89C22semidirect
136. #464×C89C22semidirect
137. #464×C89C22semidirect
138. #464×C89C22semidirect
139. #464×C89C22semidirect
143. #463×C89C22semidirect
144. #463×C89C22semidirect
145. #463×C89C22semidirect
146. #463×C89C22semidirect
147. #462×C89C22semidirect
148. #462×C89C22semidirect
149. #462×C89C22semidirect
150. #461×C89C22semidirect
153. #452×C89C22semidirect
154. #452×C89C22semidirect
155. #452×C89C22semidirect
156. #451×C89C22semidirect
157. #451×C89C22semidirect
158. #451×C89C22semidirect
159. #451×C89C22semidirect
160. #451×C89C22semidirect
165. #449×C89C22semidirect
166. #449×C89C22semidirect
169. #448×C89C22semidirect
171. #446×C89C22semidirect
172. #446×C89C22semidirect
173. #442×C89C22semidirect
174. #441×C89C22semidirect
175. #441×C89C22semidirect
176. #441×C89C22semidirect
179. #440×C89C22semidirect
180. #440×C89C22semidirect
181. C4×Q16×C89C22semidirect
182. C4×Q16×C89C22semidirect
183. C4×SD16×C89C22semidirect
184. C4×SD16×C89C22semidirect
185. #436×C89C22semidirect
186. #436×C89C22semidirect
189. #435×C89C22semidirect
190. #435×C89C22semidirect
191. #432×C89C22semidirect
192. #432×C89C22semidirect
193. #431×C89C22semidirect
194. #423×C89C22semidirect
195. #423×C89C22semidirect
196. C2×C4⋊C8×C89C22semidirect
197. #419×C89C22semidirect
199. #417×C89C22semidirect
200. #417×C89C22semidirect
201. C2×#103×C89C22semidirect
867. #61972C89direct (N × H)
878. #3514C2×C89semidirect
879. #3482C2×C89semidirect
880. #3402C2×C89semidirect
881. #3401C2×C89semidirect
882. #3377C2×C89semidirect
883. #3371C2×C89semidirect
884. #3327C2×C89semidirect
885. #3323C2×C89semidirect
886. #3312C2×C89semidirect
887. #3310C2×C89semidirect
888. #3308C2×C89semidirect
889. #3306C2×C89semidirect
890. #3277C2×C89semidirect
891. #3275C2×C89semidirect
892. #3270C2×C89semidirect
893. #3270C2×C89semidirect
894. #3266C2×C89semidirect
895. #3265C2×C89semidirect
896. #3256C2×C89semidirect
897. #3252C2×C89semidirect
898. #3250C2×C89semidirect
899. #3219C2×C89semidirect
900. #3215C2×C89semidirect
901. #3211C2×C89semidirect
902. #3117C2×C89semidirect
903. #3111C2×C89semidirect
904. #3108C2×C89semidirect
905. #3040C2×C89semidirect
906. #3037C2×C89semidirect
907. C2×#464C2×C89semidirect
908. #2989C2×C89semidirect
909. C89#61972direct (N × H)
910. C2×#137C22×C89semidirect
911. C2×#137C22×C89semidirect
912. C2×#137C22×C89semidirect
914. C22×Q16C22×C89semidirect
917. #557C22×C89semidirect
920. #556C22×C89semidirect
925. #552C22×C89semidirect
929. D4×Q8C22×C89semidirect
933. #548C22×C89semidirect
935. #547C22×C89semidirect
944. #533C22×C89semidirect
951. #529C22×C89semidirect
952. #529C22×C89semidirect
958. C4×#41C22×C89semidirect
959. C2×C4×Q8C22×C89semidirect
960. C2×C4×Q8C22×C89semidirect
962. #497C22×C89semidirect
963. #497C22×C89semidirect
966. #495C22×C89semidirect
967. #491C22×C89semidirect
970. #489C22×C89semidirect
972. #488C22×C89semidirect
973. #485C22×C89semidirect
974. #484C22×C89semidirect
975. #483C22×C89semidirect
979. #479C22×C89semidirect
980. #479C22×C89semidirect
981. #479C22×C89semidirect
982. #479C22×C89semidirect
983. #479C22×C89semidirect
985. #478C22×C89semidirect
986. #478C22×C89semidirect
987. #477C22×C89semidirect
988. #476C22×C89semidirect
989. #470C22×C89semidirect
990. #470C22×C89semidirect
991. #470C22×C89semidirect
996. #468C22×C89semidirect
997. #467C22×C89semidirect
1000. #465C22×C89semidirect
1007. #464C22×C89semidirect
1008. #464C22×C89semidirect
1009. #464C22×C89semidirect
1010. #464C22×C89semidirect
1011. #464C22×C89semidirect
1012. #464C22×C89semidirect
1013. #464C22×C89semidirect
1014. #464C22×C89semidirect
1015. #464C22×C89semidirect
1016. #464C22×C89semidirect
1017. #464C22×C89semidirect
1021. #463C22×C89semidirect
1022. #463C22×C89semidirect
1023. #463C22×C89semidirect
1024. #463C22×C89semidirect
1025. #462C22×C89semidirect
1026. #462C22×C89semidirect
1027. #462C22×C89semidirect
1028. #461C22×C89semidirect
1031. #452C22×C89semidirect
1032. #452C22×C89semidirect
1033. #452C22×C89semidirect
1034. #451C22×C89semidirect
1035. #451C22×C89semidirect
1036. #451C22×C89semidirect
1037. #451C22×C89semidirect
1038. #451C22×C89semidirect
1043. #449C22×C89semidirect
1044. #449C22×C89semidirect
1047. #448C22×C89semidirect
1049. #446C22×C89semidirect
1050. #446C22×C89semidirect
1051. #442C22×C89semidirect
1052. #441C22×C89semidirect
1053. #441C22×C89semidirect
1054. #441C22×C89semidirect
1057. #440C22×C89semidirect
1058. #440C22×C89semidirect
1059. C4×Q16C22×C89semidirect
1060. C4×Q16C22×C89semidirect
1061. C4×SD16C22×C89semidirect
1062. C4×SD16C22×C89semidirect
1063. #436C22×C89semidirect
1064. #436C22×C89semidirect
1067. #435C22×C89semidirect
1068. #435C22×C89semidirect
1069. #432C22×C89semidirect
1070. #432C22×C89semidirect
1071. #431C22×C89semidirect
1072. #423C22×C89semidirect
1073. #423C22×C89semidirect
1074. C2×C4⋊C8C22×C89semidirect
1075. #419C22×C89semidirect
1077. #417C22×C89semidirect
1078. #417C22×C89semidirect
1079. C2×#103C22×C89semidirect

Maximal subgroups

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

subgroupindex
C89×#35142
C89×#34822
C89×#34022
C89×#34012
C89×#33772
C89×#33712
C89×#33272
C89×#33232
C89×#33122
C89×#33102
C89×#33082
C89×#33062
C89×#32772
C89×#32752
C89×#32702
C89×#32662
C89×#32652
C89×#32562
C89×#32522
C89×#32502
C89×#32192
C89×#32152
C89×#32112
C89×#31172
C89×#31112
C89×#31082
C89×#30402
C89×#30372
C2×#464×C892
C89×#29892
#6197289