Finite Group Databasebeta

← C89×#62013 #36439861

Subgroups — C89×#62013 #36439861

Order 22784.

1790 conjugacy classes of subgroups.

The subgroup lattice has 1740 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C89×#3562C211yesmaximal, characteristic, complemented
2C89×#3518C211yesmaximal, characteristic, complemented
3C89×#3402C211yesmaximal, characteristic, complemented
4C89×#3401C211yesmaximal, characteristic, complemented
5C89×#3375C211yesmaximal, characteristic, complemented
6C89×#3369C211yesmaximal, characteristic, complemented
7C89×#3321C211yesmaximal, characteristic, complemented
8C89×#3319C211yesmaximal, characteristic, complemented
9C89×#3313C211yesmaximal, characteristic, complemented
10C89×#3311C211yesmaximal, characteristic, complemented
11C89×#3304C211yesmaximal, characteristic, complemented
12C89×#3302C211yesmaximal, characteristic, complemented
13C89×#3285C211yesmaximal, characteristic, complemented
14C89×#3282C211yesmaximal, characteristic, complemented
15C89×#3271C211yesmaximal, characteristic, complemented
16C89×#3270C211yesmaximal, characteristic, complemented
17C89×#3269C211yesmaximal, characteristic, complemented
18C89×#3266C211yesmaximal, characteristic, complemented
19C89×#3258C211yesmaximal, characteristic, complemented
20C89×#3257C211yesmaximal, characteristic, complemented
21C89×#3248C211yesmaximal, characteristic, complemented
22C89×#3225C211yesmaximal, characteristic, complemented
23C89×#3224C211yesmaximal, characteristic, complemented
24C89×#3216C211yesmaximal, characteristic, complemented
25C89×#3127C211yesmaximal, characteristic, complemented
26C89×#3126C211yesmaximal, characteristic, complemented
27C89×#3111C211yesmaximal, characteristic, complemented
28C89×#3044C211yesmaximal, characteristic, complemented
29C89×#3043C211yesmaximal, characteristic, complemented
30C89×#3035C211yesmaximal, characteristic, complemented
31C89×#2992C211yesmaximal, characteristic, complemented
32C2×#137×C89C2211yescharacteristic
33C2×#137×C89C2211yescharacteristic
34C2×#135×C89C2211yescharacteristic
35C2×#135×C89C2211yescharacteristic, complemented
36C22×Q16×C89C2211yescharacteristic, complemented
37C22×SD16×C89C2211yescharacteristic
38#562×C89—21no—
39#560×C89—21no—
40#559×C89C2211yescharacteristic
41Q82×C89C2211yescharacteristic, complemented
42#556×C89—21no—
43#556×C89—21no—
44#556×C89—21no—
45#556×C89C2211yescharacteristic
46#556×C89C2211yescharacteristic
47#556×C89C2211yescharacteristic, complemented
48#556×C89C2211yescharacteristic, complemented
49#555×C89—21no—
50#555×C89C2211yescharacteristic
51#553×C89—21no—
52#551×C89—21no—
53#550×C89C2211yescharacteristic
54D4×Q8×C89C2211yescharacteristic
55#548×C89C2211yescharacteristic
56#548×C89C2211yescharacteristic
57#548×C89C2211yescharacteristic
58#548×C89C2211yescharacteristic, complemented
59#547×C89C2211yescharacteristic
60#546×C89C2211yescharacteristic
61#546×C89C2211yescharacteristic
62#542×C89—21no—
63#542×C89—21no—
64#542×C89C2211yescharacteristic
65#542×C89C2211yescharacteristic, complemented
66#541×C89C2211yescharacteristic
67#540×C89—21no—
68#540×C89C2211yescharacteristic
69#539×C89—21no—
70#538×C89—21no—
71#538×C89—21no—
72#536×C89C2211yescharacteristic
73#535×C89C2211yescharacteristic
74#533×C89—21no—
75#533×C89C2211yescharacteristic, complemented
76#532×C89C2211yescharacteristic
77#529×C89—21no—
78#529×C89C2211yescharacteristic
79#529×C89C2211yescharacteristic
80#519×C89C2211yescharacteristic
81#519×C89C2211yescharacteristic, complemented
82C4×#41×C89C2211yescharacteristic, complemented
83#497×C89C2211yescharacteristic
84#497×C89C2211yescharacteristic, complemented
85#497×C89C2211yescharacteristic, complemented
86#496×C89C2211yescharacteristic
87#495×C89C2211yescharacteristic
88#495×C89C2211yescharacteristic
89#489×C89C2211yescharacteristic
90#489×C89C2211yescharacteristic
91#489×C89C2211yescharacteristic
92#489×C89C2211yescharacteristic, complemented
93#487×C89C2211yescharacteristic, complemented
94#486×C89C2211yescharacteristic
95#485×C89C2211yescharacteristic
96#485×C89C2211yescharacteristic
97#485×C89C2211yescharacteristic, complemented
98#482×C89C2211yescharacteristic
99#482×C89C2211yescharacteristic
100#482×C89C2211yescharacteristic, complemented
101#479×C89C2211yescharacteristic, complemented
102#479×C89C2211yescharacteristic, complemented
103#479×C89C2211yescharacteristic, complemented
104#478×C89C2211yescharacteristic, complemented
105#477×C89C2211yescharacteristic, complemented
106#476×C89C2211yescharacteristic
107#475×C89C2211yescharacteristic, complemented
108#475×C89C2211yescharacteristic, complemented
109#474×C89C2211yescharacteristic
110#474×C89C2211yescharacteristic, complemented
111#470×C89C2211yescharacteristic
112#469×C89C2211yescharacteristic, complemented
113#468×C89C2211yescharacteristic
114#468×C89C2211yescharacteristic
115#467×C89C2211yescharacteristic
116#467×C89C2211yescharacteristic, complemented
117#467×C89C2211yescharacteristic, complemented
118#466×C89C2211yescharacteristic
119#465×C89C2211yescharacteristic
120#465×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
130#464×C89C2211yescharacteristic
131#464×C89C2211yescharacteristic, complemented
132#464×C89C2211yescharacteristic, complemented
133#464×C89C2211yescharacteristic, complemented
134#463×C89C2211yescharacteristic
135#463×C89C2211yescharacteristic
136#463×C89C2211yescharacteristic
137#463×C89C2211yescharacteristic, complemented
138#463×C89C2211yescharacteristic, complemented
139#462×C89C2211yescharacteristic, complemented
140#462×C89C2211yescharacteristic, complemented
141#462×C89C2211yescharacteristic, complemented
142#462×C89C2211yescharacteristic, complemented
143#462×C89C2211yescharacteristic, complemented
144#462×C89C2211yescharacteristic, complemented
145#461×C89C2211yescharacteristic
146#461×C89C2211yescharacteristic, complemented
147#460×C89C2211yescharacteristic
148#460×C89C2211yescharacteristic
149#460×C89C2211yescharacteristic
150#460×C89C2211yescharacteristic
151#460×C89C2211yescharacteristic
152#459×C89C2211yescharacteristic
153#452×C89C2211yescharacteristic
154#452×C89C2211yescharacteristic
155#452×C89C2211yescharacteristic
156#452×C89C2211yescharacteristic
157#452×C89C2211yescharacteristic, complemented
158#452×C89C2211yescharacteristic, complemented
159#452×C89C2211yescharacteristic, complemented
160#451×C89C2211yescharacteristic
161#451×C89C2211yescharacteristic
162#451×C89C2211yescharacteristic, complemented
163#450×C89C2211yescharacteristic
164#449×C89C2211yescharacteristic
165#449×C89C2211yescharacteristic
166#449×C89C2211yescharacteristic
167#448×C89C2211yescharacteristic
168#448×C89C2211yescharacteristic, complemented
169#448×C89C2211yescharacteristic, complemented
170#447×C89C2211yescharacteristic
171#446×C89C2211yescharacteristic, complemented
172#446×C89C2211yescharacteristic, complemented
173#442×C89C2211yescharacteristic
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
184C4×SD16×C89C2211yescharacteristic, complemented
185#435×C89C2211yescharacteristic
186#435×C89C2211yescharacteristic
187#435×C89C2211yescharacteristic
188#435×C89C2211yescharacteristic, complemented
189C8×D4×C89C2211yescharacteristic
190C8×D4×C89C2211yescharacteristic, complemented
191#433×C89C2211yescharacteristic
192#433×C89C2211yescharacteristic, complemented
193#432×C89C2211yescharacteristic, complemented
194#424×C89C2211yescharacteristic
195#424×C89C2211yescharacteristic, complemented
196C2×C4⋊C8×C89C2211yescharacteristic, complemented
197#419×C89C2211yescharacteristic, complemented
198#418×C89C2211yescharacteristic
199#416×C89C2211yescharacteristic
200#416×C89C2211yescharacteristic
201#416×C89C2211yescharacteristic
202#416×C89C2211yescharacteristic, complemented
203C2×#41×C89C2311yescharacteristic
204C2×#41×C89C2311yescharacteristic
205C2×#41×C89C2311yescharacteristic
206C2×#41×C89C2311yescharacteristic
207C2×#41×C89C2311yescharacteristic
208C22×Q8×C89C2311yescharacteristic
209C22×Q8×C89C2311yescharacteristic
210C22×Q8×C89C2311yescharacteristic
211C22×D4×C89C2311yescharacteristic
212#137×C89—42no—
213#137×C89—42no—
214#135×C89—42no—
215#135×C89—42no—
216C2×Q16×C89—42no—
217C2×Q16×C89C2311yescharacteristic
218C2×Q16×C89C2311yescharacteristic
219C2×Q16×C89C2311yescharacteristic
220C2×Q16×C89C2311yescharacteristic
221C2×Q16×C89C2311yescharacteristic
222C2×Q16×C89C2311yescharacteristic
223C2×Q16×C89C2311yescharacteristic
224C2×Q16×C89C2311yescharacteristic
225C2×Q16×C89C2311yescharacteristic
226C2×SD16×C89—42no—
227C2×SD16×C89C2311yescharacteristic
228C2×SD16×C89C2311yescharacteristic
229C2×SD16×C89C2311yescharacteristic
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×D8×C89C2311yescharacteristic
240C2×D8×C89C2311yescharacteristic
241C2×D8×C89C2311yescharacteristic
242C2×M16×C89C2311yescharacteristic
243C2×M16×C89C2311yescharacteristic
244C22×C8×C89C2311yescharacteristic
245C22×C8×C89C2311yescharacteristic
246C22×C8×C89C2311yescharacteristic
247C22×C8×C89C2311yescharacteristic
248C4⋊Q8×C89—21no—
249C4⋊Q8×C89—21no—
250C4⋊Q8×C89—21no—
251C4⋊Q8×C89—21no—
252C4⋊Q8×C89C2311yescharacteristic
253C4⋊Q8×C89C2311yescharacteristic
254C4⋊Q8×C89C2311yescharacteristic
255C4⋊Q8×C89C2311yescharacteristic
256C4⋊Q8×C89C2311yescharacteristic
257C4⋊Q8×C89C2311yescharacteristic
258#127×C89—21no—
259#127×C89C2311yescharacteristic
260#127×C89C2311yescharacteristic
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#126×C89—21no—
270#126×C89—21no—
271#126×C89—21no—
272#126×C89—21no—
273#126×C89—21no—
274#126×C89D411yescharacteristic
275#126×C89D411yescharacteristic
276#125×C89—21no—
277#125×C89—21no—
278#125×C89—21no—
279#125×C89D411yescharacteristic
280#125×C89C2311yescharacteristic
281#124×C89—21no—
282#124×C89—21no—
283#124×C89—21no—
284#124×C89—21no—
285#124×C89—21no—
286#124×C89—21no—
287#124×C89—21no—
288#124×C89—21no—
289#124×C89—21no—
290#124×C89—21no—
291#124×C89—21no—
292#124×C89D411yescharacteristic
293#124×C89C2311yescharacteristic
294#124×C89C2311yescharacteristic
295#124×C89C2311yescharacteristic
296#124×C89C2311yescharacteristic
297#124×C89C2311yescharacteristic
298#124×C89C2311yescharacteristic
299#124×C89C2311yescharacteristic
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—
308#123×C89—21no—
309#123×C89—21no—
310#123×C89—21no—
311#123×C89—21no—
312#123×C89—21no—
313#123×C89D411yescharacteristic
314#123×C89D411yescharacteristic
315C22⋊Q8×C89—21no—
316C22⋊Q8×C89—21no—
317C22⋊Q8×C89—21no—
318C22⋊Q8×C89—21no—
319C22⋊Q8×C89—21no—
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×C89D411yescharacteristic
329C22⋊Q8×C89C2311yescharacteristic
330C22⋊Q8×C89C2311yescharacteristic
331C22⋊Q8×C89C2311yescharacteristic
332C22⋊Q8×C89C2311yescharacteristic
333C22⋊Q8×C89C2311yescharacteristic
334C22⋊Q8×C89C2311yescharacteristic
335C22⋊Q8×C89C2311yescharacteristic
336#121×C89—21no—
337#121×C89—21no—
338#121×C89—21no—
339#121×C89—21no—
340#121×C89—21no—
341#121×C89—21no—
342#121×C89—21no—
343#121×C89—21no—
344#121×C89—21no—
345#121×C89—21no—
346#121×C89—21no—
347#121×C89—21no—
348#121×C89—21no—
349#121×C89—21no—
350#121×C89—21no—
351#121×C89—21no—
352#121×C89D411yescharacteristic
353#121×C89C2311yescharacteristic
354#121×C89C2311yescharacteristic
355#121×C89C2311yescharacteristic
356#121×C89C2311yescharacteristic
357#121×C89C2311yescharacteristic
358#120×C89—21no—
359#120×C89—21no—
360#120×C89—21no—
361#120×C89—21no—
362C4×Q8×C89—21no—
363C4×Q8×C89—21no—
364C4×Q8×C89—21no—
365C4×Q8×C89—21no—
366C4×Q8×C89—21no—
367C4×Q8×C89—21no—
368C4×Q8×C89—21no—
369C4×Q8×C89—21no—
370C4×Q8×C89C2311yescharacteristic
371C4×Q8×C89C2311yescharacteristic
372C4×Q8×C89C2311yescharacteristic
373C4×Q8×C89C2311yescharacteristic
374C4×Q8×C89C2311yescharacteristic
375C4×Q8×C89C2311yescharacteristic
376C4×Q8×C89C2311yescharacteristic
377C4×Q8×C89C2311yescharacteristic
378C4×Q8×C89C2311yescharacteristic
379C4×Q8×C89C2311yescharacteristic
380C4×Q8×C89C2311yescharacteristic
381C4×Q8×C89C2311yescharacteristic
382C4×D4×C89—21no—
383C4×D4×C89—21no—
384C4×D4×C89—21no—
385C4×D4×C89—21no—
386C4×D4×C89—21no—
387C4×D4×C89—21no—
388C4×D4×C89—21no—
389C4×D4×C89—21no—
390C4×D4×C89—21no—
391C4×D4×C89—21no—
392C4×D4×C89—21no—
393C4×D4×C89—21no—
394C4×D4×C89C2311yescharacteristic
395C4×D4×C89C2311yescharacteristic
396C4×D4×C89C2311yescharacteristic
397C4×D4×C89C2311yescharacteristic
398C4×D4×C89C2311yescharacteristic
399C4×D4×C89C2311yescharacteristic
400C4×D4×C89C2311yescharacteristic
401C4×D4×C89C2311yescharacteristic
402#117×C89—21no—
403#117×C89—21no—
404#117×C89—21no—
405#117×C89—21no—
406#117×C89—21no—
407#117×C89—21no—
408#117×C89—21no—
409#117×C89—21no—
410#117×C89—21no—
411#117×C89—21no—
412#117×C89C2311yescharacteristic
413#117×C89C2311yescharacteristic
414#117×C89C2311yescharacteristic
415#117×C89C2311yescharacteristic
416#117×C89C2311yescharacteristic
417C2×C4⋊C4×C89—21no—
418C2×C22⋊C4×C89—21no—
419C2×C22⋊C4×C89—21no—
420C2×C42×C89—21no—
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—
485#41×C89—22no—
486#41×C89—41no—
487#41×C89—41no—
488#41×C89—41no—
489#41×C89—41no—
490#41×C89—41no—
491#41×C89—41no—
492#41×C89—41no—
493#41×C89—41no—
494#41×C89—41no—
495C2×Q8×C89—21no—
496C2×Q8×C89—21no—
497C2×Q8×C89—21no—
498C2×Q8×C89—21no—
499C2×Q8×C89—21no—
500C2×Q8×C89—21no—
501C2×Q8×C89—22no—
502C2×Q8×C89—22no—
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—21no—
527C2×D4×C89—21no—
528C2×D4×C89—21no—
529C2×D4×C89—41no—
530C2×D4×C89—41no—
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×C89C2×D411yescharacteristic
552C22×C4×C89C2×D411yescharacteristic
553C22×C4×C89C2411yescharacteristic
554C22×C4×C89C2411yescharacteristic
555C22×C4×C89C2411yescharacteristic
556Q16×C89—22no—
557Q16×C89—22no—
558Q16×C89—22no—
559Q16×C89—41no—
560Q16×C89—41no—
561Q16×C89—41no—
562Q16×C89—41no—
563Q16×C89—41no—
564Q16×C89—41no—
565SD16×C89—22no—
566SD16×C89—22no—
567SD16×C89—22no—
568SD16×C89—41no—
569SD16×C89—41no—
570SD16×C89—41no—
571SD16×C89—41no—
572SD16×C89—41no—
573SD16×C89—41no—
574SD16×C89—41no—
575SD16×C89—41no—
576SD16×C89—41no—
577D8×C89—41no—
578D8×C89—41no—
579D8×C89—41no—
580M16×C89—41no—
581M16×C89—41no—
582C2×C8×C89—41no—
583C2×C8×C89—41no—
584C2×C8×C89—41no—
585C2×C8×C89—41no—
586C2×C8×C89C2411yescharacteristic
587C2×C8×C89C2411yescharacteristic
588C2×C8×C89C2411yescharacteristic
589C2×C8×C89C2411yescharacteristic
590C2×C8×C89C2411yescharacteristic
591C2×C8×C89C2411yescharacteristic
592C2×C8×C89C2411yescharacteristic
593C2×C8×C89C2411yescharacteristic
594C4⋊C4×C89—21no—
595C4⋊C4×C89—21no—
596C4⋊C4×C89—21no—
597C4⋊C4×C89—21no—
598C4⋊C4×C89—21no—
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×C89C2×D411yescharacteristic
624C4⋊C4×C89C2×D411yescharacteristic
625C4⋊C4×C89C2×D411yescharacteristic
626C4⋊C4×C89C2×D411yescharacteristic
627C4⋊C4×C89C2×D411yescharacteristic
628C4⋊C4×C89C2×D411yescharacteristic
629C4⋊C4×C89C2×D411yescharacteristic
630C4⋊C4×C89C2×D411yescharacteristic
631C4⋊C4×C89C2×D411yescharacteristic
632C4⋊C4×C89C2×D411yescharacteristic
633C4⋊C4×C89C2411yescharacteristic
634C4⋊C4×C89C2411yescharacteristic
635C4⋊C4×C89C2411yescharacteristic
636C4⋊C4×C89C2411yescharacteristic
637C4⋊C4×C89C2411yescharacteristic
638C4⋊C4×C89C2411yescharacteristic
639C22⋊C4×C89—21no—
640C22⋊C4×C89—21no—
641C22⋊C4×C89—21no—
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×C89C2×D411yescharacteristic
674C22⋊C4×C89C2×D411yescharacteristic
675C22⋊C4×C89C2×D411yescharacteristic
676C22⋊C4×C89C2×D411yescharacteristic
677C22⋊C4×C89C2×D411yescharacteristic
678C22⋊C4×C89C2×D411yescharacteristic
679C22⋊C4×C89C2×D411yescharacteristic
680C22⋊C4×C89C2×D411yescharacteristic
681C22⋊C4×C89C2×D411yescharacteristic
682C22⋊C4×C89C2×D411yescharacteristic
683C42×C89—21no—
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×C89—21no—
697C42×C89C2×D411yescharacteristic
698C42×C89C2×D411yescharacteristic
699C42×C89C2411yescharacteristic
700C42×C89C2411yescharacteristic
701C42×C89C2411yescharacteristic
702C42×C89C2411yescharacteristic
703C23×C89—21no—
704C23×C89—21no—
705C23×C89—21no—
706C23×C89—21no—
707C23×C89—81no—
708C23×C89—81no—
709C23×C89—81no—
710C23×C89C22×D411yescharacteristic
711C23×C89C22×D411yescharacteristic
712C23×C89C22×D411yescharacteristic
713Q8×C89—21no—
714Q8×C89—21no—
715Q8×C89—21no—
716Q8×C89—21no—
717Q8×C89—21no—
718Q8×C89—21no—
719Q8×C89—21no—
720Q8×C89—21no—
721Q8×C89—21no—
722Q8×C89—21no—
723Q8×C89—21no—
724Q8×C89—41no—
725Q8×C89—42no—
726Q8×C89—42no—
727Q8×C89—81no—
728Q8×C89—81no—
729Q8×C89—81no—
730Q8×C89—81no—
731Q8×C89H(5,𝔽2)12yes—
732D4×C89—21no—
733D4×C89—21no—
734D4×C89—21no—
735D4×C89—21no—
736D4×C89—21no—
737D4×C89—21no—
738D4×C89—21no—
739D4×C89—21no—
740D4×C89—41no—
741D4×C89—41no—
742D4×C89—41no—
743D4×C89—42no—
744D4×C89—81no—
745D4×C89—81no—
746D4×C89—81no—
747D4×C89—81no—
748D4×C89—81no—
749D4×C89—81no—
750D4×C89—81no—
751D4×C89—81no—
752D4×C89—81no—
753D4×C89—81no—
754D4×C89—81no—
755D4×C89—81no—
756D4×C89—81no—
757D4×C89—81no—
758C2×C4×C89—21no—
759C2×C4×C89—21no—
760C2×C4×C89—21no—
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—41no—
777C2×C4×C89—41no—
778C2×C4×C89—42no—
779C2×C4×C89—42no—
780C2×C4×C89—42no—
781C2×C4×C89—42no—
782C2×C4×C89—81no—
783C2×C4×C89—81no—
784C2×C4×C89—81no—
785C2×C4×C89—81no—
786C2×C4×C89—81no—
787C2×C4×C89—81no—
788C2×C4×C89—81no—
789C2×C4×C89—81no—
790C2×C4×C89—81no—
791C2×C4×C89C22×D411yescharacteristic
792C2×C4×C89C22×D411yescharacteristic
793C2×C4×C89C22×D411yescharacteristic
794C2×C4×C89C22×D411yescharacteristic
795C2×C4×C89C22×D411yescharacteristic
796C2×C4×C89C22×D411yescharacteristic
797C2×C4×C89C22×D411yescharacteristic
798C2×C4×C89C22×D411yescharacteristic
799C2×C4×C89C22×D411yescharacteristic
800C2×C4×C89C22×D411yescharacteristic
801C2×C4×C89C22×D411yescharacteristic
802C2×C4×C89C2511yescharacteristic
803C8×C89—21no—
804C8×C89—21no—
805C8×C89—21no—
806C8×C89—21no—
807C8×C89—21no—
808C8×C89—21no—
809C8×C89—21no—
810C8×C89—21no—
811C22×C89—21no—
812C22×C89—21no—
813C22×C89—21no—
814C22×C89—21no—
815C22×C89—21no—
816C22×C89—21no—
817C22×C89—21no—
818C22×C89—21no—
819C22×C89—21no—
820C22×C89—41no—
821C22×C89—41no—
822C22×C89—41no—
823C22×C89—41no—
824C22×C89—41no—
825C22×C89—41no—
826C22×C89—41no—
827C22×C89—41no—
828C22×C89—41no—
829C22×C89—41no—
830C22×C89—41no—
831C22×C89—41no—
832C22×C89—162no—
833C22×C89C23×D411yescharacteristic
834C4×C89—21no—
835C4×C89—21no—
836C4×C89—21no—
837C4×C89—21no—
838C4×C89—21no—
839C4×C89—21no—
840C4×C89—21no—
841C4×C89—21no—
842C4×C89—21no—
843C4×C89—21no—
844C4×C89—21no—
845C4×C89—22no—
846C4×C89—41no—
847C4×C89—41no—
848C4×C89—41no—
849C4×C89—41no—
850C4×C89—41no—
851C4×C89—41no—
852C4×C89—41no—
853C4×C89—41no—
854C4×C89—41no—
855C4×C89—41no—
856C4×C89—41no—
857C4×C89C2×H(5,𝔽2)11yescharacteristic
858C4×C89#58511yescharacteristic
859#62013C8911yesmaximal, characteristic, direct product factor, Sylow
860C2×C89—41no—
861C2×C89—41no—
862C2×C89—41no—
863C2×C89—81no—
864C2×C89—81no—
865C2×C89—81no—
866C2×C89—81no—
867C2×C89#348811yescharacteristic
868C2×C89#358411yescharacteristic
869C2×C89#358611yescharacteristic
870#3562C2×C8911yescharacteristic, complemented
871#3518C2×C8911yescharacteristic, complemented
872#3402C2×C8911yescharacteristic, complemented
873#3401C2×C8911yescharacteristic, complemented
874#3375C2×C8911yescharacteristic, complemented
875#3369C2×C8911yescharacteristic, complemented
876#3321C2×C8911yescharacteristic, complemented
877#3319C2×C8911yescharacteristic, complemented
878#3313C2×C8911yescharacteristic, complemented
879#3311C2×C8911yescharacteristic, complemented
880#3304C2×C8911yescharacteristic, complemented
881#3302C2×C8911yescharacteristic, complemented
882#3285C2×C8911yescharacteristic, complemented
883#3282C2×C8911yescharacteristic, complemented
884#3271C2×C8911yescharacteristic, complemented
885#3270C2×C8911yescharacteristic, complemented
886#3269C2×C8911yescharacteristic, complemented
887#3266C2×C8911yescharacteristic, complemented
888#3258C2×C8911yescharacteristic, complemented
889#3257C2×C8911yescharacteristic, complemented
890#3248C2×C8911yescharacteristic, complemented
891#3225C2×C8911yescharacteristic, complemented
892#3224C2×C8911yescharacteristic, complemented
893#3216C2×C8911yescharacteristic, complemented
894#3127C2×C8911yescharacteristic, complemented
895#3126C2×C8911yescharacteristic, complemented
896#3111C2×C8911yescharacteristic, complemented
897#3044C2×C8911yescharacteristic, complemented
898#3043C2×C8911yescharacteristic, complemented
899#3035C2×C8911yescharacteristic, complemented
900#2992C2×C8911yescharacteristic, complemented
901C89#6201311yescharacteristic, direct product factor, Sylow
902C2×#137C22×C8911yescharacteristic
903C2×#137C22×C8911yescharacteristic
904C2×#135C22×C8911yescharacteristic
905C2×#135C22×C8911yescharacteristic, complemented
906C22×Q16C22×C8911yescharacteristic, complemented
907C22×SD16C22×C8911yescharacteristic
908#562—21no—
909#560—21no—
910#559C22×C8911yescharacteristic
911Q82C22×C8911yescharacteristic, complemented
912#556—21no—
913#556—21no—
914#556—21no—
915#556C22×C8911yescharacteristic
916#556C22×C8911yescharacteristic
917#556C22×C8911yescharacteristic, complemented
918#556C22×C8911yescharacteristic, complemented
919#555—21no—
920#555C22×C8911yescharacteristic
921#553—21no—
922#551—21no—
923#550C22×C8911yescharacteristic
924D4×Q8C22×C8911yescharacteristic
925#548C22×C8911yescharacteristic
926#548C22×C8911yescharacteristic
927#548C22×C8911yescharacteristic
928#548C22×C8911yescharacteristic, complemented
929#547C22×C8911yescharacteristic
930#546C22×C8911yescharacteristic
931#546C22×C8911yescharacteristic
932#542—21no—
933#542—21no—
934#542C22×C8911yescharacteristic
935#542C22×C8911yescharacteristic, complemented
936#541C22×C8911yescharacteristic
937#540—21no—
938#540C22×C8911yescharacteristic
939#539—21no—
940#538—21no—
941#538—21no—
942#536C22×C8911yescharacteristic
943#535C22×C8911yescharacteristic
944#533—21no—
945#533C22×C8911yescharacteristic, complemented
946#532C22×C8911yescharacteristic
947#529—21no—
948#529C22×C8911yescharacteristic
949#529C22×C8911yescharacteristic
950#519C22×C8911yescharacteristic
951#519C22×C8911yescharacteristic, complemented
952C4×#41C22×C8911yescharacteristic, complemented
953#497C22×C8911yescharacteristic
954#497C22×C8911yescharacteristic, complemented
955#497C22×C8911yescharacteristic, complemented
956#496C22×C8911yescharacteristic
957#495C22×C8911yescharacteristic
958#495C22×C8911yescharacteristic
959#489C22×C8911yescharacteristic
960#489C22×C8911yescharacteristic
961#489C22×C8911yescharacteristic
962#489C22×C8911yescharacteristic, complemented
963#487C22×C8911yescharacteristic, complemented
964#486C22×C8911yescharacteristic
965#485C22×C8911yescharacteristic
966#485C22×C8911yescharacteristic
967#485C22×C8911yescharacteristic, complemented
968#482C22×C8911yescharacteristic
969#482C22×C8911yescharacteristic
970#482C22×C8911yescharacteristic, complemented
971#479C22×C8911yescharacteristic, complemented
972#479C22×C8911yescharacteristic, complemented
973#479C22×C8911yescharacteristic, complemented
974#478C22×C8911yescharacteristic, complemented
975#477C22×C8911yescharacteristic, complemented
976#476C22×C8911yescharacteristic
977#475C22×C8911yescharacteristic, complemented
978#475C22×C8911yescharacteristic, complemented
979#474C22×C8911yescharacteristic
980#474C22×C8911yescharacteristic, complemented
981#470C22×C8911yescharacteristic
982#469C22×C8911yescharacteristic, complemented
983#468C22×C8911yescharacteristic
984#468C22×C8911yescharacteristic
985#467C22×C8911yescharacteristic
986#467C22×C8911yescharacteristic, complemented
987#467C22×C8911yescharacteristic, complemented
988#466C22×C8911yescharacteristic
989#465C22×C8911yescharacteristic
990#465C22×C8911yescharacteristic
991#465C22×C8911yescharacteristic
992#465C22×C8911yescharacteristic, complemented
993#464C22×C8911yescharacteristic
994#464C22×C8911yescharacteristic
995#464C22×C8911yescharacteristic
996#464C22×C8911yescharacteristic
997#464C22×C8911yescharacteristic
998#464C22×C8911yescharacteristic
999#464C22×C8911yescharacteristic
1000#464C22×C8911yescharacteristic
1001#464C22×C8911yescharacteristic, complemented
1002#464C22×C8911yescharacteristic, complemented
1003#464C22×C8911yescharacteristic, complemented
1004#463C22×C8911yescharacteristic
1005#463C22×C8911yescharacteristic
1006#463C22×C8911yescharacteristic
1007#463C22×C8911yescharacteristic, complemented
1008#463C22×C8911yescharacteristic, complemented
1009#462C22×C8911yescharacteristic, complemented
1010#462C22×C8911yescharacteristic, complemented
1011#462C22×C8911yescharacteristic, complemented
1012#462C22×C8911yescharacteristic, complemented
1013#462C22×C8911yescharacteristic, complemented
1014#462C22×C8911yescharacteristic, complemented
1015#461C22×C8911yescharacteristic
1016#461C22×C8911yescharacteristic, complemented
1017#460C22×C8911yescharacteristic
1018#460C22×C8911yescharacteristic
1019#460C22×C8911yescharacteristic
1020#460C22×C8911yescharacteristic
1021#460C22×C8911yescharacteristic
1022#459C22×C8911yescharacteristic
1023#452C22×C8911yescharacteristic
1024#452C22×C8911yescharacteristic
1025#452C22×C8911yescharacteristic
1026#452C22×C8911yescharacteristic
1027#452C22×C8911yescharacteristic, complemented
1028#452C22×C8911yescharacteristic, complemented
1029#452C22×C8911yescharacteristic, complemented
1030#451C22×C8911yescharacteristic
1031#451C22×C8911yescharacteristic
1032#451C22×C8911yescharacteristic, complemented
1033#450C22×C8911yescharacteristic
1034#449C22×C8911yescharacteristic
1035#449C22×C8911yescharacteristic
1036#449C22×C8911yescharacteristic
1037#448C22×C8911yescharacteristic
1038#448C22×C8911yescharacteristic, complemented
1039#448C22×C8911yescharacteristic, complemented
1040#447C22×C8911yescharacteristic
1041#446C22×C8911yescharacteristic, complemented
1042#446C22×C8911yescharacteristic, complemented
1043#442C22×C8911yescharacteristic
1044#441C22×C8911yescharacteristic, complemented
1045#441C22×C8911yescharacteristic, complemented
1046#441C22×C8911yescharacteristic, complemented
1047#440C22×C8911yescharacteristic
1048#440C22×C8911yescharacteristic
1049#440C22×C8911yescharacteristic, complemented
1050#440C22×C8911yescharacteristic, complemented
1051C4×Q16C22×C8911yescharacteristic, complemented
1052C4×Q16C22×C8911yescharacteristic, complemented
1053C4×SD16C22×C8911yescharacteristic
1054C4×SD16C22×C8911yescharacteristic, complemented
1055#435C22×C8911yescharacteristic
1056#435C22×C8911yescharacteristic
1057#435C22×C8911yescharacteristic
1058#435C22×C8911yescharacteristic, complemented
1059C8×D4C22×C8911yescharacteristic
1060C8×D4C22×C8911yescharacteristic, complemented
1061#433C22×C8911yescharacteristic
1062#433C22×C8911yescharacteristic, complemented
1063#432C22×C8911yescharacteristic, complemented
1064#424C22×C8911yescharacteristic
1065#424C22×C8911yescharacteristic, complemented
1066C2×C4⋊C8C22×C8911yescharacteristic, complemented
1067#419C22×C8911yescharacteristic, complemented
1068#418C22×C8911yescharacteristic
1069#416C22×C8911yescharacteristic
1070#416C22×C8911yescharacteristic
1071#416C22×C8911yescharacteristic
1072#416C22×C8911yescharacteristic, complemented
1073C2×#41C23×C8911yescharacteristic
1074C2×#41C23×C8911yescharacteristic
1075C2×#41C23×C8911yescharacteristic
1076C2×#41C23×C8911yescharacteristic
1077C2×#41C23×C8911yescharacteristic
1078C22×Q8C23×C8911yescharacteristic
1079C22×Q8C23×C8911yescharacteristic
1080C22×Q8C23×C8911yescharacteristic
1081C22×D4C23×C8911yescharacteristic
1082#137—42no—
1083#137—42no—
1084#135—42no—
1085#135—42no—
1086C2×Q16—42no—
1087C2×Q16C23×C8911yescharacteristic
1088C2×Q16C23×C8911yescharacteristic
1089C2×Q16C23×C8911yescharacteristic
1090C2×Q16C23×C8911yescharacteristic
1091C2×Q16C23×C8911yescharacteristic
1092C2×Q16C23×C8911yescharacteristic
1093C2×Q16C23×C8911yescharacteristic
1094C2×Q16C23×C8911yescharacteristic
1095C2×Q16C23×C8911yescharacteristic
1096C2×SD16—42no—
1097C2×SD16C23×C8911yescharacteristic
1098C2×SD16C23×C8911yescharacteristic
1099C2×SD16C23×C8911yescharacteristic
1100C2×SD16C23×C8911yescharacteristic
1101C2×SD16C23×C8911yescharacteristic
1102C2×SD16C23×C8911yescharacteristic
1103C2×SD16C23×C8911yescharacteristic
1104C2×SD16C23×C8911yescharacteristic
1105C2×SD16C23×C8911yescharacteristic
1106C2×SD16C23×C8911yescharacteristic
1107C2×SD16C23×C8911yescharacteristic
1108C2×SD16C23×C8911yescharacteristic
1109C2×D8C23×C8911yescharacteristic
1110C2×D8C23×C8911yescharacteristic
1111C2×D8C23×C8911yescharacteristic
1112C2×M16C23×C8911yescharacteristic
1113C2×M16C23×C8911yescharacteristic
1114C22×C8C23×C8911yescharacteristic
1115C22×C8C23×C8911yescharacteristic
1116C22×C8C23×C8911yescharacteristic
1117C22×C8C23×C8911yescharacteristic
1118C4⋊Q8—21no—
1119C4⋊Q8—21no—
1120C4⋊Q8—21no—
1121C4⋊Q8—21no—
1122C4⋊Q8C23×C8911yescharacteristic
1123C4⋊Q8C23×C8911yescharacteristic
1124C4⋊Q8C23×C8911yescharacteristic
1125C4⋊Q8C23×C8911yescharacteristic
1126C4⋊Q8C23×C8911yescharacteristic
1127C4⋊Q8C23×C8911yescharacteristic
1128#127—21no—
1129#127C23×C8911yescharacteristic
1130#127C23×C8911yescharacteristic
1131#126—21no—
1132#126—21no—
1133#126—21no—
1134#126—21no—
1135#126—21no—
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#126D4×C8911yescharacteristic
1145#126D4×C8911yescharacteristic
1146#125—21no—
1147#125—21no—
1148#125—21no—
1149#125D4×C8911yescharacteristic
1150#125C23×C8911yescharacteristic
1151#124—21no—
1152#124—21no—
1153#124—21no—
1154#124—21no—
1155#124—21no—
1156#124—21no—
1157#124—21no—
1158#124—21no—
1159#124—21no—
1160#124—21no—
1161#124—21no—
1162#124D4×C8911yescharacteristic
1163#124C23×C8911yescharacteristic
1164#124C23×C8911yescharacteristic
1165#124C23×C8911yescharacteristic
1166#124C23×C8911yescharacteristic
1167#124C23×C8911yescharacteristic
1168#124C23×C8911yescharacteristic
1169#124C23×C8911yescharacteristic
1170#123—21no—
1171#123—21no—
1172#123—21no—
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#123D4×C8911yescharacteristic
1184#123D4×C8911yescharacteristic
1185C22⋊Q8—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⋊Q8D4×C8911yescharacteristic
1199C22⋊Q8C23×C8911yescharacteristic
1200C22⋊Q8C23×C8911yescharacteristic
1201C22⋊Q8C23×C8911yescharacteristic
1202C22⋊Q8C23×C8911yescharacteristic
1203C22⋊Q8C23×C8911yescharacteristic
1204C22⋊Q8C23×C8911yescharacteristic
1205C22⋊Q8C23×C8911yescharacteristic
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#121—21no—
1215#121—21no—
1216#121—21no—
1217#121—21no—
1218#121—21no—
1219#121—21no—
1220#121—21no—
1221#121—21no—
1222#121D4×C8911yescharacteristic
1223#121C23×C8911yescharacteristic
1224#121C23×C8911yescharacteristic
1225#121C23×C8911yescharacteristic
1226#121C23×C8911yescharacteristic
1227#121C23×C8911yescharacteristic
1228#120—21no—
1229#120—21no—
1230#120—21no—
1231#120—21no—
1232C4×Q8—21no—
1233C4×Q8—21no—
1234C4×Q8—21no—
1235C4×Q8—21no—
1236C4×Q8—21no—
1237C4×Q8—21no—
1238C4×Q8—21no—
1239C4×Q8—21no—
1240C4×Q8C23×C8911yescharacteristic
1241C4×Q8C23×C8911yescharacteristic
1242C4×Q8C23×C8911yescharacteristic
1243C4×Q8C23×C8911yescharacteristic
1244C4×Q8C23×C8911yescharacteristic
1245C4×Q8C23×C8911yescharacteristic
1246C4×Q8C23×C8911yescharacteristic
1247C4×Q8C23×C8911yescharacteristic
1248C4×Q8C23×C8911yescharacteristic
1249C4×Q8C23×C8911yescharacteristic
1250C4×Q8C23×C8911yescharacteristic
1251C4×Q8C23×C8911yescharacteristic
1252C4×D4—21no—
1253C4×D4—21no—
1254C4×D4—21no—
1255C4×D4—21no—
1256C4×D4—21no—
1257C4×D4—21no—
1258C4×D4—21no—
1259C4×D4—21no—
1260C4×D4—21no—
1261C4×D4—21no—
1262C4×D4—21no—
1263C4×D4—21no—
1264C4×D4C23×C8911yescharacteristic
1265C4×D4C23×C8911yescharacteristic
1266C4×D4C23×C8911yescharacteristic
1267C4×D4C23×C8911yescharacteristic
1268C4×D4C23×C8911yescharacteristic
1269C4×D4C23×C8911yescharacteristic
1270C4×D4C23×C8911yescharacteristic
1271C4×D4C23×C8911yescharacteristic
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#117—21no—
1281#117—21no—
1282#117C23×C8911yescharacteristic
1283#117C23×C8911yescharacteristic
1284#117C23×C8911yescharacteristic
1285#117C23×C8911yescharacteristic
1286#117C23×C8911yescharacteristic
1287C2×C4⋊C4—21no—
1288C2×C22⋊C4—21no—
1289C2×C22⋊C4—21no—
1290C2×C42—21no—
1291C2×C42C23×C8911yescharacteristic
1292#107C23×C8911yescharacteristic
1293#107C23×C8911yescharacteristic
1294#107C23×C8911yescharacteristic
1295#107C23×C8911yescharacteristic
1296#106C23×C8911yescharacteristic
1297#106C23×C8911yescharacteristic
1298#106C23×C8911yescharacteristic
1299#106C23×C8911yescharacteristic
1300C4⋊C8C23×C8911yescharacteristic
1301C4⋊C8C23×C8911yescharacteristic
1302C4⋊C8C23×C8911yescharacteristic
1303C4⋊C8C23×C8911yescharacteristic
1304C4⋊C8C23×C8911yescharacteristic
1305C4⋊C8C23×C8911yescharacteristic
1306C4⋊C8C23×C8911yescharacteristic
1307C4⋊C8C23×C8911yescharacteristic
1308C4⋊C8C23×C8911yescharacteristic
1309C4⋊C8C23×C8911yescharacteristic
1310#103C23×C8911yescharacteristic
1311#103C23×C8911yescharacteristic
1312#103C23×C8911yescharacteristic
1313#103C23×C8911yescharacteristic
1314#103C23×C8911yescharacteristic
1315#103C23×C8911yescharacteristic
1316#103C23×C8911yescharacteristic
1317#103C23×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#102C23×C8911yescharacteristic
1329#102C23×C8911yescharacteristic
1330#102C23×C8911yescharacteristic
1331#102C23×C8911yescharacteristic
1332#102C23×C8911yescharacteristic
1333#102C23×C8911yescharacteristic
1334#102C23×C8911yescharacteristic
1335#102C23×C8911yescharacteristic
1336#102C23×C8911yescharacteristic
1337#102C23×C8911yescharacteristic
1338#102C23×C8911yescharacteristic
1339#102C23×C8911yescharacteristic
1340#102C23×C8911yescharacteristic
1341#102C23×C8911yescharacteristic
1342C22⋊C8C23×C8911yescharacteristic
1343C22⋊C8C23×C8911yescharacteristic
1344C22⋊C8C23×C8911yescharacteristic
1345C22⋊C8C23×C8911yescharacteristic
1346C22⋊C8C23×C8911yescharacteristic
1347C22⋊C8C23×C8911yescharacteristic
1348#97C23×C8911yescharacteristic
1349#97C23×C8911yescharacteristic
1350#97C23×C8911yescharacteristic
1351#97C23×C8911yescharacteristic
1352C4×C8C23×C8911yescharacteristic
1353C4×C8C23×C8911yescharacteristic
1354C24—21no—
1355#41—22no—
1356#41—41no—
1357#41—41no—
1358#41—41no—
1359#41—41no—
1360#41—41no—
1361#41—41no—
1362#41—41no—
1363#41—41no—
1364#41—41no—
1365C2×Q8—21no—
1366C2×Q8—21no—
1367C2×Q8—21no—
1368C2×Q8—21no—
1369C2×Q8—21no—
1370C2×Q8—21no—
1371C2×Q8—22no—
1372C2×Q8—22no—
1373C2×Q8—41no—
1374C2×Q8—41no—
1375C2×Q8—41no—
1376C2×Q8—41no—
1377C2×Q8C2×D4×C8911yescharacteristic
1378C2×Q8C24×C8911yescharacteristic
1379C2×Q8C24×C8911yescharacteristic
1380C2×Q8C24×C8911yescharacteristic
1381C2×Q8C24×C8911yescharacteristic
1382C2×Q8C24×C8911yescharacteristic
1383C2×Q8C24×C8911yescharacteristic
1384C2×D4—21no—
1385C2×D4—21no—
1386C2×D4—21no—
1387C2×D4—21no—
1388C2×D4—21no—
1389C2×D4—21no—
1390C2×D4—21no—
1391C2×D4—21no—
1392C2×D4—21no—
1393C2×D4—21no—
1394C2×D4—21no—
1395C2×D4—21no—
1396C2×D4—21no—
1397C2×D4—21no—
1398C2×D4—21no—
1399C2×D4—41no—
1400C2×D4—41no—
1401C2×D4C2×D4×C8911yescharacteristic
1402C2×D4C2×D4×C8911yescharacteristic
1403C2×D4C2×D4×C8911yescharacteristic
1404C2×D4C24×C8911yescharacteristic
1405C2×D4C24×C8911yescharacteristic
1406C2×D4C24×C8911yescharacteristic
1407C2×D4C24×C8911yescharacteristic
1408C22×C4—21no—
1409C22×C4—21no—
1410C22×C4—21no—
1411C22×C4—21no—
1412C22×C4—21no—
1413C22×C4—21no—
1414C22×C4—21no—
1415C22×C4—21no—
1416C22×C4—21no—
1417C22×C4—21no—
1418C22×C4—21no—
1419C22×C4—21no—
1420C22×C4—21no—
1421C22×C4C2×D4×C8911yescharacteristic
1422C22×C4C2×D4×C8911yescharacteristic
1423C22×C4C24×C8911yescharacteristic
1424C22×C4C24×C8911yescharacteristic
1425C22×C4C24×C8911yescharacteristic
1426Q16—22no—
1427Q16—22no—
1428Q16—22no—
1429Q16—41no—
1430Q16—41no—
1431Q16—41no—
1432Q16—41no—
1433Q16—41no—
1434Q16—41no—
1435SD16—22no—
1436SD16—22no—
1437SD16—22no—
1438SD16—41no—
1439SD16—41no—
1440SD16—41no—
1441SD16—41no—
1442SD16—41no—
1443SD16—41no—
1444SD16—41no—
1445SD16—41no—
1446SD16—41no—
1447D8—41no—
1448D8—41no—
1449D8—41no—
1450M16—41no—
1451M16—41no—
1452C2×C8—41no—
1453C2×C8—41no—
1454C2×C8—41no—
1455C2×C8—41no—
1456C2×C8C24×C8911yescharacteristic
1457C2×C8C24×C8911yescharacteristic
1458C2×C8C24×C8911yescharacteristic
1459C2×C8C24×C8911yescharacteristic
1460C2×C8C24×C8911yescharacteristic
1461C2×C8C24×C8911yescharacteristic
1462C2×C8C24×C8911yescharacteristic
1463C2×C8C24×C8911yescharacteristic
1464C4⋊C4—21no—
1465C4⋊C4—21no—
1466C4⋊C4—21no—
1467C4⋊C4—21no—
1468C4⋊C4—21no—
1469C4⋊C4—21no—
1470C4⋊C4—21no—
1471C4⋊C4—21no—
1472C4⋊C4—21no—
1473C4⋊C4—21no—
1474C4⋊C4—21no—
1475C4⋊C4—21no—
1476C4⋊C4—21no—
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⋊C4C2×D4×C8911yescharacteristic
1494C4⋊C4C2×D4×C8911yescharacteristic
1495C4⋊C4C2×D4×C8911yescharacteristic
1496C4⋊C4C2×D4×C8911yescharacteristic
1497C4⋊C4C2×D4×C8911yescharacteristic
1498C4⋊C4C2×D4×C8911yescharacteristic
1499C4⋊C4C2×D4×C8911yescharacteristic
1500C4⋊C4C2×D4×C8911yescharacteristic
1501C4⋊C4C2×D4×C8911yescharacteristic
1502C4⋊C4C2×D4×C8911yescharacteristic
1503C4⋊C4C24×C8911yescharacteristic
1504C4⋊C4C24×C8911yescharacteristic
1505C4⋊C4C24×C8911yescharacteristic
1506C4⋊C4C24×C8911yescharacteristic
1507C4⋊C4C24×C8911yescharacteristic
1508C4⋊C4C24×C8911yescharacteristic
1509C22⋊C4—21no—
1510C22⋊C4—21no—
1511C22⋊C4—21no—
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—21no—
1519C22⋊C4—21no—
1520C22⋊C4—21no—
1521C22⋊C4—21no—
1522C22⋊C4—21no—
1523C22⋊C4—21no—
1524C22⋊C4—21no—
1525C22⋊C4—21no—
1526C22⋊C4—21no—
1527C22⋊C4—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⋊C4C2×D4×C8911yescharacteristic
1544C22⋊C4C2×D4×C8911yescharacteristic
1545C22⋊C4C2×D4×C8911yescharacteristic
1546C22⋊C4C2×D4×C8911yescharacteristic
1547C22⋊C4C2×D4×C8911yescharacteristic
1548C22⋊C4C2×D4×C8911yescharacteristic
1549C22⋊C4C2×D4×C8911yescharacteristic
1550C22⋊C4C2×D4×C8911yescharacteristic
1551C22⋊C4C2×D4×C8911yescharacteristic
1552C22⋊C4C2×D4×C8911yescharacteristic
1553C42—21no—
1554C42—21no—
1555C42—21no—
1556C42—21no—
1557C42—21no—
1558C42—21no—
1559C42—21no—
1560C42—21no—
1561C42—21no—
1562C42—21no—
1563C42—21no—
1564C42—21no—
1565C42—21no—
1566C42—21no—
1567C42C2×D4×C8911yescharacteristic
1568C42C2×D4×C8911yescharacteristic
1569C42C24×C8911yescharacteristic
1570C42C24×C8911yescharacteristic
1571C42C24×C8911yescharacteristic
1572C42C24×C8911yescharacteristic
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—21no—
1577C23—81no—
1578C23—81no—
1579C23—81no—
1580C23C22×D4×C8911yescharacteristic
1581C23C22×D4×C8911yescharacteristic
1582C23C22×D4×C8911yescharacteristic
1583Q8—21no—
1584Q8—21no—
1585Q8—21no—
1586Q8—21no—
1587Q8—21no—
1588Q8—21no—
1589Q8—21no—
1590Q8—21no—
1591Q8—21no—
1592Q8—21no—
1593Q8—21no—
1594Q8—41no—
1595Q8—42no—
1596Q8—42no—
1597Q8—81no—
1598Q8—81no—
1599Q8—81no—
1600Q8—81no—
1601Q8H(5,𝔽2)×C8912yes—
1602D4—21no—
1603D4—21no—
1604D4—21no—
1605D4—21no—
1606D4—21no—
1607D4—21no—
1608D4—21no—
1609D4—21no—
1610D4—41no—
1611D4—41no—
1612D4—41no—
1613D4—42no—
1614D4—81no—
1615D4—81no—
1616D4—81no—
1617D4—81no—
1618D4—81no—
1619D4—81no—
1620D4—81no—
1621D4—81no—
1622D4—81no—
1623D4—81no—
1624D4—81no—
1625D4—81no—
1626D4—81no—
1627D4—81no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—41no—
1647C2×C4—41no—
1648C2×C4—42no—
1649C2×C4—42no—
1650C2×C4—42no—
1651C2×C4—42no—
1652C2×C4—81no—
1653C2×C4—81no—
1654C2×C4—81no—
1655C2×C4—81no—
1656C2×C4—81no—
1657C2×C4—81no—
1658C2×C4—81no—
1659C2×C4—81no—
1660C2×C4—81no—
1661C2×C4C22×D4×C8911yescharacteristic
1662C2×C4C22×D4×C8911yescharacteristic
1663C2×C4C22×D4×C8911yescharacteristic
1664C2×C4C22×D4×C8911yescharacteristic
1665C2×C4C22×D4×C8911yescharacteristic
1666C2×C4C22×D4×C8911yescharacteristic
1667C2×C4C22×D4×C8911yescharacteristic
1668C2×C4C22×D4×C8911yescharacteristic
1669C2×C4C22×D4×C8911yescharacteristic
1670C2×C4C22×D4×C8911yescharacteristic
1671C2×C4C22×D4×C8911yescharacteristic
1672C2×C4C25×C8911yescharacteristic
1673C8—21no—
1674C8—21no—
1675C8—21no—
1676C8—21no—
1677C8—21no—
1678C8—21no—
1679C8—21no—
1680C8—21no—
1681C22—21no—
1682C22—21no—
1683C22—21no—
1684C22—21no—
1685C22—21no—
1686C22—21no—
1687C22—21no—
1688C22—21no—
1689C22—21no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—162no—
1703C22C23×D4×C8911yescharacteristic
1704C4—21no—
1705C4—21no—
1706C4—21no—
1707C4—21no—
1708C4—21no—
1709C4—21no—
1710C4—21no—
1711C4—21no—
1712C4—21no—
1713C4—21no—
1714C4—21no—
1715C4—22no—
1716C4—41no—
1717C4—41no—
1718C4—41no—
1719C4—41no—
1720C4—41no—
1721C4—41no—
1722C4—41no—
1723C4—41no—
1724C4—41no—
1725C4—41no—
1726C4—41no—
1727C4C2×H(5,𝔽2)×C8911yescharacteristic
1728C4#585×C8911yescharacteristic
1729C2—41no—
1730C2—41no—
1731C2—41no—
1732C2—81no—
1733C2—81no—
1734C2—81no—
1735C2—81no—
1736C2C89×#348811yescharacteristic
1737C2C89×#358411yescharacteristic
1738C2C89×#358611yescharacteristic
subgroupG/H
center, socleC22×C89C23×D4
commutator, Frattini, cosocleC2×C4C25×C89
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C89 ◁ #529×C89 ◁ G

Complements

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

NH ≅ G/Ntype
1. C89×#3562C2semidirect
2. C89×#3518C2semidirect
3. C89×#3402C2semidirect
4. C89×#3401C2semidirect
5. C89×#3375C2semidirect
6. C89×#3369C2semidirect
7. C89×#3321C2semidirect
8. C89×#3319C2semidirect
9. C89×#3313C2semidirect
10. C89×#3311C2semidirect
11. C89×#3304C2semidirect
12. C89×#3302C2semidirect
13. C89×#3285C2semidirect
14. C89×#3282C2semidirect
15. C89×#3271C2semidirect
16. C89×#3270C2semidirect
17. C89×#3269C2semidirect
18. C89×#3266C2semidirect
19. C89×#3258C2semidirect
20. C89×#3257C2semidirect
21. C89×#3248C2semidirect
22. C89×#3225C2semidirect
23. C89×#3224C2semidirect
24. C89×#3216C2semidirect
25. C89×#3127C2semidirect
26. C89×#3126C2semidirect
27. C89×#3111C2semidirect
28. C89×#3044C2semidirect
29. C89×#3043C2semidirect
30. C89×#3035C2semidirect
31. C89×#2992C2semidirect
35. C2×#135×C89C22semidirect
36. C22×Q16×C89C22semidirect
41. Q82×C89C22semidirect
47. #556×C89C22semidirect
48. #556×C89C22semidirect
58. #548×C89C22semidirect
65. #542×C89C22semidirect
75. #533×C89C22semidirect
81. #519×C89C22semidirect
82. C4×#41×C89C22semidirect
84. #497×C89C22semidirect
85. #497×C89C22semidirect
92. #489×C89C22semidirect
93. #487×C89C22semidirect
97. #485×C89C22semidirect
100. #482×C89C22semidirect
101. #479×C89C22semidirect
102. #479×C89C22semidirect
103. #479×C89C22semidirect
104. #478×C89C22semidirect
105. #477×C89C22semidirect
107. #475×C89C22semidirect
108. #475×C89C22semidirect
110. #474×C89C22semidirect
112. #469×C89C22semidirect
116. #467×C89C22semidirect
117. #467×C89C22semidirect
122. #465×C89C22semidirect
131. #464×C89C22semidirect
132. #464×C89C22semidirect
133. #464×C89C22semidirect
137. #463×C89C22semidirect
138. #463×C89C22semidirect
139. #462×C89C22semidirect
140. #462×C89C22semidirect
141. #462×C89C22semidirect
142. #462×C89C22semidirect
143. #462×C89C22semidirect
144. #462×C89C22semidirect
146. #461×C89C22semidirect
157. #452×C89C22semidirect
158. #452×C89C22semidirect
159. #452×C89C22semidirect
162. #451×C89C22semidirect
168. #448×C89C22semidirect
169. #448×C89C22semidirect
171. #446×C89C22semidirect
172. #446×C89C22semidirect
174. #441×C89C22semidirect
175. #441×C89C22semidirect
176. #441×C89C22semidirect
179. #440×C89C22semidirect
180. #440×C89C22semidirect
181. C4×Q16×C89C22semidirect
182. C4×Q16×C89C22semidirect
184. C4×SD16×C89C22semidirect
188. #435×C89C22semidirect
190. C8×D4×C89C22semidirect
192. #433×C89C22semidirect
193. #432×C89C22semidirect
195. #424×C89C22semidirect
196. C2×C4⋊C8×C89C22semidirect
197. #419×C89C22semidirect
202. #416×C89C22semidirect
859. #62013C89direct (N × H)
870. #3562C2×C89semidirect
871. #3518C2×C89semidirect
872. #3402C2×C89semidirect
873. #3401C2×C89semidirect
874. #3375C2×C89semidirect
875. #3369C2×C89semidirect
876. #3321C2×C89semidirect
877. #3319C2×C89semidirect
878. #3313C2×C89semidirect
879. #3311C2×C89semidirect
880. #3304C2×C89semidirect
881. #3302C2×C89semidirect
882. #3285C2×C89semidirect
883. #3282C2×C89semidirect
884. #3271C2×C89semidirect
885. #3270C2×C89semidirect
886. #3269C2×C89semidirect
887. #3266C2×C89semidirect
888. #3258C2×C89semidirect
889. #3257C2×C89semidirect
890. #3248C2×C89semidirect
891. #3225C2×C89semidirect
892. #3224C2×C89semidirect
893. #3216C2×C89semidirect
894. #3127C2×C89semidirect
895. #3126C2×C89semidirect
896. #3111C2×C89semidirect
897. #3044C2×C89semidirect
898. #3043C2×C89semidirect
899. #3035C2×C89semidirect
900. #2992C2×C89semidirect
901. C89#62013direct (N × H)
905. C2×#135C22×C89semidirect
906. C22×Q16C22×C89semidirect
911. Q82C22×C89semidirect
917. #556C22×C89semidirect
918. #556C22×C89semidirect
928. #548C22×C89semidirect
935. #542C22×C89semidirect
945. #533C22×C89semidirect
951. #519C22×C89semidirect
952. C4×#41C22×C89semidirect
954. #497C22×C89semidirect
955. #497C22×C89semidirect
962. #489C22×C89semidirect
963. #487C22×C89semidirect
967. #485C22×C89semidirect
970. #482C22×C89semidirect
971. #479C22×C89semidirect
972. #479C22×C89semidirect
973. #479C22×C89semidirect
974. #478C22×C89semidirect
975. #477C22×C89semidirect
977. #475C22×C89semidirect
978. #475C22×C89semidirect
980. #474C22×C89semidirect
982. #469C22×C89semidirect
986. #467C22×C89semidirect
987. #467C22×C89semidirect
992. #465C22×C89semidirect
1001. #464C22×C89semidirect
1002. #464C22×C89semidirect
1003. #464C22×C89semidirect
1007. #463C22×C89semidirect
1008. #463C22×C89semidirect
1009. #462C22×C89semidirect
1010. #462C22×C89semidirect
1011. #462C22×C89semidirect
1012. #462C22×C89semidirect
1013. #462C22×C89semidirect
1014. #462C22×C89semidirect
1016. #461C22×C89semidirect
1027. #452C22×C89semidirect
1028. #452C22×C89semidirect
1029. #452C22×C89semidirect
1032. #451C22×C89semidirect
1038. #448C22×C89semidirect
1039. #448C22×C89semidirect
1041. #446C22×C89semidirect
1042. #446C22×C89semidirect
1044. #441C22×C89semidirect
1045. #441C22×C89semidirect
1046. #441C22×C89semidirect
1049. #440C22×C89semidirect
1050. #440C22×C89semidirect
1051. C4×Q16C22×C89semidirect
1052. C4×Q16C22×C89semidirect
1054. C4×SD16C22×C89semidirect
1058. #435C22×C89semidirect
1060. C8×D4C22×C89semidirect
1062. #433C22×C89semidirect
1063. #432C22×C89semidirect
1065. #424C22×C89semidirect
1066. C2×C4⋊C8C22×C89semidirect
1067. #419C22×C89semidirect
1072. #416C22×C89semidirect

Maximal subgroups

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

subgroupindex
C89×#35622
C89×#35182
C89×#34022
C89×#34012
C89×#33752
C89×#33692
C89×#33212
C89×#33192
C89×#33132
C89×#33112
C89×#33042
C89×#33022
C89×#32852
C89×#32822
C89×#32712
C89×#32702
C89×#32692
C89×#32662
C89×#32582
C89×#32572
C89×#32482
C89×#32252
C89×#32242
C89×#32162
C89×#31272
C89×#31262
C89×#31112
C89×#30442
C89×#30432
C89×#30352
C89×#29922
#6201389