Finite Group Databasebeta

← C89×#62010 #36439858

Subgroups — C89×#62010 #36439858

Order 22784.

1768 conjugacy classes of subgroups.

The subgroup lattice has 1706 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C89×#3552C211yesmaximal, characteristic, complemented
2C89×#3516C211yesmaximal, characteristic, complemented
3C89×#3402C211yesmaximal, characteristic, complemented
4C89×#3398C211yesmaximal, characteristic, complemented
5C89×#3377C211yesmaximal, characteristic, complemented
6C89×#3374C211yesmaximal, characteristic, complemented
7C89×#3320C211yesmaximal, characteristic, complemented
8C89×#3316C211yesmaximal, characteristic, complemented
9C89×#3315C211yesmaximal, characteristic, complemented
10C89×#3312C211yesmaximal, characteristic, complemented
11C89×#3301C211yesmaximal, characteristic, complemented
12C89×#3299C211yesmaximal, characteristic, complemented
13D4×Q16×C89C211yesmaximal, characteristic, complemented
14C89×#3285C211yesmaximal, characteristic, complemented
15C89×#3270C211yesmaximal, characteristic, complemented
16C89×#3270C211yesmaximal, characteristic, complemented
17C89×#3270C211yesmaximal, characteristic, complemented
18C89×#3269C211yesmaximal, characteristic, complemented
19C89×#3261C211yesmaximal, characteristic, complemented
20C89×#3258C211yesmaximal, characteristic, complemented
21C89×#3250C211yesmaximal, characteristic, complemented
22C89×#3225C211yesmaximal, characteristic, complemented
23C89×#3223C211yesmaximal, characteristic, complemented
24C89×#3218C211yesmaximal, characteristic, complemented
25C89×#3127C211yesmaximal, characteristic, complemented
26C89×#3120C211yesmaximal, characteristic, complemented
27C89×#3117C211yesmaximal, characteristic, complemented
28C89×#3046C211yesmaximal, characteristic, complemented
29C89×#3044C211yesmaximal, characteristic, complemented
30C2×#462×C89C211yesmaximal, characteristic, complemented
31C89×#2992C211yesmaximal, characteristic, complemented
32C2×#137×C89C2211yescharacteristic
33C2×#137×C89C2211yescharacteristic
34C2×#135×C89C2211yescharacteristic
35C22×Q16×C89C2211yescharacteristic
36C22×Q16×C89C2211yescharacteristic
37C22×Q16×C89C2211yescharacteristic
38#563×C89—21no—
39#563×C89—21no—
40#557×C89C2211yescharacteristic
41#557×C89C2211yescharacteristic
42#556×C89—21no—
43#556×C89C2211yescharacteristic
44#556×C89C2211yescharacteristic
45#554×C89—21no—
46#554×C89—21no—
47#554×C89C2211yescharacteristic
48#553×C89—21no—
49#553×C89—21no—
50#553×C89C2211yescharacteristic
51#552×C89—21no—
52#552×C89C2211yescharacteristic
53D4×Q8×C89C2211yescharacteristic
54D4×Q8×C89C2211yescharacteristic
55D4×Q8×C89C2211yescharacteristic
56D4×Q8×C89C2211yescharacteristic
57#548×C89C2211yescharacteristic
58#548×C89C2211yescharacteristic
59#548×C89C2211yescharacteristic
60#548×C89C2211yescharacteristic
61#547×C89C2211yescharacteristic
62#544×C89—21no—
63#542×C89—21no—
64#542×C89—21no—
65#542×C89C2211yescharacteristic
66#541×C89—21no—
67#541×C89C2211yescharacteristic
68#541×C89C2211yescharacteristic
69#541×C89C2211yescharacteristic
70#539×C89—21no—
71#539×C89—21no—
72#536×C89C2211yescharacteristic
73#536×C89C2211yescharacteristic
74C2×C4⋊Q8×C89C2211yescharacteristic
75#529×C89—21no—
76#529×C89—21no—
77#529×C89C2211yescharacteristic
78#529×C89C2211yescharacteristic
79#529×C89C2211yescharacteristic
80#520×C89C2211yescharacteristic
81#519×C89C2211yescharacteristic
82C2×C4×Q8×C89C2211yescharacteristic
83#497×C89C2211yescharacteristic
84#497×C89C2211yescharacteristic
85#497×C89C2211yescharacteristic
86#497×C89C2211yescharacteristic
87#495×C89C2211yescharacteristic
88#494×C89C2211yescharacteristic
89#491×C89C2211yescharacteristic
90#491×C89C2211yescharacteristic
91#491×C89C2211yescharacteristic
92#489×C89C2211yescharacteristic
93#488×C89C2211yescharacteristic
94#487×C89C2211yescharacteristic
95#485×C89C2211yescharacteristic
96#485×C89C2211yescharacteristic
97#484×C89C2211yescharacteristic
98#484×C89C2211yescharacteristic
99#483×C89C2211yescharacteristic
100#481×C89C2211yescharacteristic
101#479×C89C2211yescharacteristic
102#479×C89C2211yescharacteristic
103#479×C89C2211yescharacteristic
104#479×C89C2211yescharacteristic
105#479×C89C2211yescharacteristic
106#479×C89C2211yescharacteristic
107#478×C89C2211yescharacteristic
108#478×C89C2211yescharacteristic
109#477×C89C2211yescharacteristic
110#475×C89C2211yescharacteristic
111#470×C89C2211yescharacteristic
112#470×C89C2211yescharacteristic
113#470×C89C2211yescharacteristic
114#468×C89C2211yescharacteristic
115#467×C89C2211yescharacteristic
116#467×C89C2211yescharacteristic
117#467×C89C2211yescharacteristic
118#467×C89C2211yescharacteristic
119#466×C89C2211yescharacteristic
120#465×C89C2211yescharacteristic
121#465×C89C2211yescharacteristic
122#465×C89C2211yescharacteristic
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
132#463×C89C2211yescharacteristic
133#463×C89C2211yescharacteristic
134#463×C89C2211yescharacteristic
135#462×C89C2211yescharacteristic
136#462×C89C2211yescharacteristic
137#462×C89C2211yescharacteristic
138#462×C89C2211yescharacteristic
139#462×C89C2211yescharacteristic
140#462×C89C2211yescharacteristic
141#462×C89C2211yescharacteristic
142#462×C89C2211yescharacteristic
143#462×C89C2211yescharacteristic
144#462×C89C2211yescharacteristic
145#462×C89C2211yescharacteristic
146#462×C89C2211yescharacteristic
147#462×C89C2211yescharacteristic
148#462×C89C2211yescharacteristic
149#462×C89C2211yescharacteristic
150#461×C89C2211yescharacteristic
151#461×C89C2211yescharacteristic
152#461×C89C2211yescharacteristic
153#452×C89C2211yescharacteristic
154#452×C89C2211yescharacteristic
155#452×C89C2211yescharacteristic
156#452×C89C2211yescharacteristic
157#452×C89C2211yescharacteristic
158#451×C89C2211yescharacteristic
159#451×C89C2211yescharacteristic
160#451×C89C2211yescharacteristic
161#451×C89C2211yescharacteristic
162#451×C89C2211yescharacteristic
163#451×C89C2211yescharacteristic
164#451×C89C2211yescharacteristic
165#451×C89C2211yescharacteristic
166#449×C89C2211yescharacteristic
167#448×C89C2211yescharacteristic
168#448×C89C2211yescharacteristic
169#448×C89C2211yescharacteristic
170#448×C89C2211yescharacteristic
171#446×C89C2211yescharacteristic
172#446×C89C2211yescharacteristic
173#441×C89C2211yescharacteristic
174#441×C89C2211yescharacteristic
175#441×C89C2211yescharacteristic
176#441×C89C2211yescharacteristic
177#441×C89C2211yescharacteristic
178#440×C89C2211yescharacteristic
179#440×C89C2211yescharacteristic
180#440×C89C2211yescharacteristic
181C4×Q16×C89C2211yescharacteristic
182C4×Q16×C89C2211yescharacteristic
183C4×Q16×C89C2211yescharacteristic
184C4×SD16×C89C2211yescharacteristic
185#435×C89C2211yescharacteristic
186#435×C89C2211yescharacteristic
187#435×C89C2211yescharacteristic
188#435×C89C2211yescharacteristic
189C8×D4×C89C2211yescharacteristic
190C8×D4×C89C2211yescharacteristic
191#433×C89C2211yescharacteristic
192#433×C89C2211yescharacteristic
193#432×C89C2211yescharacteristic
194#424×C89C2211yescharacteristic
195#424×C89C2211yescharacteristic
196C2×C4⋊C8×C89C2211yescharacteristic
197#419×C89C2211yescharacteristic
198#417×C89C2211yescharacteristic
199#416×C89C2211yescharacteristic
200C2×#103×C89C2211yescharacteristic
201C2×#103×C89C2211yescharacteristic
202C2×#103×C89C2211yescharacteristic
203C2×#41×C89C2311yescharacteristic
204C2×#41×C89C2311yescharacteristic
205C2×#41×C89C2311yescharacteristic
206C22×Q8×C89C2311yescharacteristic
207C22×Q8×C89C2311yescharacteristic
208C22×Q8×C89C2311yescharacteristic
209C22×Q8×C89C2311yescharacteristic
210C22×Q8×C89C2311yescharacteristic
211C22×Q8×C89C2311yescharacteristic
212#137×C89—42no—
213#137×C89—42no—
214#135×C89—42no—
215C2×Q16×C89—42no—
216C2×Q16×C89—42no—
217C2×Q16×C89—42no—
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×Q16×C89C2311yescharacteristic
227C2×Q16×C89C2311yescharacteristic
228C2×Q16×C89C2311yescharacteristic
229C2×Q16×C89C2311yescharacteristic
230C2×Q16×C89C2311yescharacteristic
231C2×Q16×C89C2311yescharacteristic
232C2×Q16×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×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×C89—21no—
253C4⋊Q8×C89—21no—
254C4⋊Q8×C89—21no—
255C4⋊Q8×C89C2311yescharacteristic
256C4⋊Q8×C89C2311yescharacteristic
257C4⋊Q8×C89C2311yescharacteristic
258C4⋊Q8×C89C2311yescharacteristic
259C4⋊Q8×C89C2311yescharacteristic
260C4⋊Q8×C89C2311yescharacteristic
261C4⋊Q8×C89C2311yescharacteristic
262C4⋊Q8×C89C2311yescharacteristic
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×C89—21no—
275#126×C89—21no—
276#126×C89—21no—
277#126×C89—21no—
278#126×C89D411yescharacteristic
279#126×C89D411yescharacteristic
280#125×C89—21no—
281#125×C89—21no—
282#125×C89—21no—
283#125×C89—21no—
284#125×C89—21no—
285#125×C89—21no—
286#125×C89—21no—
287#125×C89—21no—
288#125×C89—21no—
289#125×C89—21no—
290#125×C89—21no—
291#125×C89—21no—
292#125×C89—21no—
293#125×C89D411yescharacteristic
294#125×C89C2311yescharacteristic
295#125×C89C2311yescharacteristic
296#125×C89C2311yescharacteristic
297#124×C89—21no—
298#124×C89—21no—
299#124×C89—21no—
300#124×C89—21no—
301#124×C89—21no—
302#124×C89D411yescharacteristic
303#124×C89C2311yescharacteristic
304#124×C89C2311yescharacteristic
305#124×C89C2311yescharacteristic
306#124×C89C2311yescharacteristic
307#124×C89C2311yescharacteristic
308#123×C89—21no—
309#123×C89—21no—
310#123×C89—21no—
311#123×C89—21no—
312#123×C89—21no—
313#123×C89—21no—
314#123×C89—21no—
315#123×C89—21no—
316#123×C89—21no—
317#123×C89—21no—
318#123×C89—21no—
319#123×C89D411yescharacteristic
320#123×C89D411yescharacteristic
321C22⋊Q8×C89—21no—
322C22⋊Q8×C89—21no—
323C22⋊Q8×C89—21no—
324C22⋊Q8×C89—21no—
325C22⋊Q8×C89—21no—
326C22⋊Q8×C89—21no—
327C22⋊Q8×C89—21no—
328C22⋊Q8×C89—21no—
329C22⋊Q8×C89—21no—
330C22⋊Q8×C89—21no—
331C22⋊Q8×C89—21no—
332C22⋊Q8×C89—21no—
333C22⋊Q8×C89—21no—
334C22⋊Q8×C89—21no—
335C22⋊Q8×C89—21no—
336C22⋊Q8×C89—21no—
337C22⋊Q8×C89—21no—
338C22⋊Q8×C89—21no—
339C22⋊Q8×C89—21no—
340C22⋊Q8×C89—21no—
341C22⋊Q8×C89—21no—
342C22⋊Q8×C89D411yescharacteristic
343C22⋊Q8×C89C2311yescharacteristic
344C22⋊Q8×C89C2311yescharacteristic
345C22⋊Q8×C89C2311yescharacteristic
346C22⋊Q8×C89C2311yescharacteristic
347C22⋊Q8×C89C2311yescharacteristic
348C22⋊Q8×C89C2311yescharacteristic
349C22⋊Q8×C89C2311yescharacteristic
350C22⋊Q8×C89C2311yescharacteristic
351C22⋊Q8×C89C2311yescharacteristic
352#121×C89—21no—
353#121×C89—21no—
354#121×C89—21no—
355#121×C89—21no—
356#121×C89—21no—
357#121×C89—21no—
358#121×C89D411yescharacteristic
359#121×C89C2311yescharacteristic
360#121×C89C2311yescharacteristic
361#121×C89C2311yescharacteristic
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×C89C2311yescharacteristic
369C4×Q8×C89C2311yescharacteristic
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×C89—21no—
395C4×D4×C89—21no—
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×C89C2311yescharacteristic
411#117×C89C2311yescharacteristic
412#117×C89C2311yescharacteristic
413C2×C4⋊C4×C89—21no—
414C2×C4⋊C4×C89—21no—
415C2×C4⋊C4×C89—21no—
416C2×C4⋊C4×C89—21no—
417C2×C4⋊C4×C89—21no—
418C2×C4⋊C4×C89C2311yescharacteristic
419C2×C4⋊C4×C89C2311yescharacteristic
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#103×C89C2311yescharacteristic
459#103×C89C2311yescharacteristic
460#103×C89C2311yescharacteristic
461#103×C89C2311yescharacteristic
462#103×C89C2311yescharacteristic
463#103×C89C2311yescharacteristic
464#103×C89C2311yescharacteristic
465#103×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
484#41×C89—22no—
485#41×C89—41no—
486#41×C89—41no—
487#41×C89—41no—
488#41×C89—41no—
489#41×C89—41no—
490C2×Q8×C89—21no—
491C2×Q8×C89—21no—
492C2×Q8×C89—21no—
493C2×Q8×C89—21no—
494C2×Q8×C89—21no—
495C2×Q8×C89—21no—
496C2×Q8×C89—21no—
497C2×Q8×C89—22no—
498C2×Q8×C89—22no—
499C2×Q8×C89—41no—
500C2×Q8×C89—41no—
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×C89—41no—
508C2×Q8×C89—41no—
509C2×Q8×C89C2×D411yescharacteristic
510C2×Q8×C89C2411yescharacteristic
511C2×Q8×C89C2411yescharacteristic
512C2×Q8×C89C2411yescharacteristic
513C2×Q8×C89C2411yescharacteristic
514C2×Q8×C89C2411yescharacteristic
515C2×Q8×C89C2411yescharacteristic
516C2×Q8×C89C2411yescharacteristic
517C2×Q8×C89C2411yescharacteristic
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×C89C2×D411yescharacteristic
525C2×D4×C89C2×D411yescharacteristic
526C2×D4×C89C2×D411yescharacteristic
527C2×D4×C89C2411yescharacteristic
528C2×D4×C89C2411yescharacteristic
529C22×C4×C89—21no—
530C22×C4×C89—21no—
531C22×C4×C89—21no—
532C22×C4×C89—21no—
533C22×C4×C89—21no—
534C22×C4×C89—21no—
535C22×C4×C89—21no—
536C22×C4×C89—21no—
537C22×C4×C89—21no—
538C22×C4×C89—21no—
539C22×C4×C89—21no—
540C22×C4×C89—21no—
541C22×C4×C89—21no—
542C22×C4×C89—21no—
543C22×C4×C89C2×D411yescharacteristic
544C22×C4×C89C2×D411yescharacteristic
545C22×C4×C89C2411yescharacteristic
546C22×C4×C89C2411yescharacteristic
547C22×C4×C89C2411yescharacteristic
548Q16×C89—22no—
549Q16×C89—22no—
550Q16×C89—22no—
551Q16×C89—22no—
552Q16×C89—22no—
553Q16×C89—41no—
554Q16×C89—41no—
555Q16×C89—41no—
556Q16×C89—41no—
557Q16×C89—41no—
558Q16×C89—41no—
559Q16×C89—41no—
560Q16×C89—41no—
561Q16×C89—41no—
562Q16×C89—41no—
563SD16×C89—22no—
564SD16×C89—41no—
565SD16×C89—41no—
566SD16×C89—41no—
567SD16×C89—41no—
568SD16×C89—41no—
569SD16×C89—41no—
570SD16×C89—41no—
571D8×C89—41no—
572M16×C89—41no—
573M16×C89—41no—
574C2×C8×C89—41no—
575C2×C8×C89—41no—
576C2×C8×C89—41no—
577C2×C8×C89—41no—
578C2×C8×C89C2411yescharacteristic
579C2×C8×C89C2411yescharacteristic
580C2×C8×C89C2411yescharacteristic
581C2×C8×C89C2411yescharacteristic
582C2×C8×C89C2411yescharacteristic
583C2×C8×C89C2411yescharacteristic
584C2×C8×C89C2411yescharacteristic
585C2×C8×C89C2411yescharacteristic
586C4⋊C4×C89—21no—
587C4⋊C4×C89—21no—
588C4⋊C4×C89—21no—
589C4⋊C4×C89—21no—
590C4⋊C4×C89—21no—
591C4⋊C4×C89—21no—
592C4⋊C4×C89—21no—
593C4⋊C4×C89—21no—
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×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×C89—21no—
631C4⋊C4×C89C2×D411yescharacteristic
632C4⋊C4×C89C2×D411yescharacteristic
633C4⋊C4×C89C2×D411yescharacteristic
634C4⋊C4×C89C2×D411yescharacteristic
635C4⋊C4×C89C2×D411yescharacteristic
636C4⋊C4×C89C2×D411yescharacteristic
637C4⋊C4×C89C2×D411yescharacteristic
638C4⋊C4×C89C2×D411yescharacteristic
639C4⋊C4×C89C2×D411yescharacteristic
640C4⋊C4×C89C2×D411yescharacteristic
641C4⋊C4×C89C2411yescharacteristic
642C4⋊C4×C89C2411yescharacteristic
643C4⋊C4×C89C2411yescharacteristic
644C4⋊C4×C89C2411yescharacteristic
645C4⋊C4×C89C2411yescharacteristic
646C4⋊C4×C89C2411yescharacteristic
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×C89C22×D411yescharacteristic
706C23×C89C22×D411yescharacteristic
707C23×C89C22×D411yescharacteristic
708Q8×C89—21no—
709Q8×C89—21no—
710Q8×C89—21no—
711Q8×C89—21no—
712Q8×C89—21no—
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—41no—
724Q8×C89—42no—
725Q8×C89—42no—
726Q8×C89—81no—
727Q8×C89—81no—
728Q8×C89—81no—
729Q8×C89—81no—
730Q8×C89—81no—
731Q8×C89H(5,𝔽2)12yes—
732D4×C89—22no—
733D4×C89—22no—
734D4×C89—21no—
735D4×C89—21no—
736D4×C89—21no—
737D4×C89—21no—
738D4×C89—41no—
739D4×C89—42no—
740D4×C89—42no—
741D4×C89—42no—
742D4×C89—81no—
743D4×C89—81no—
744D4×C89—81no—
745C2×C4×C89—22no—
746C2×C4×C89—21no—
747C2×C4×C89—21no—
748C2×C4×C89—21no—
749C2×C4×C89—21no—
750C2×C4×C89—21no—
751C2×C4×C89—21no—
752C2×C4×C89—21no—
753C2×C4×C89—21no—
754C2×C4×C89—21no—
755C2×C4×C89—21no—
756C2×C4×C89—21no—
757C2×C4×C89—21no—
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—41no—
767C2×C4×C89—42no—
768C2×C4×C89—42no—
769C2×C4×C89—42no—
770C2×C4×C89—42no—
771C2×C4×C89—81no—
772C2×C4×C89—81no—
773C2×C4×C89—81no—
774C2×C4×C89—81no—
775C2×C4×C89—81no—
776C2×C4×C89—81no—
777C2×C4×C89—81no—
778C2×C4×C89—81no—
779C2×C4×C89—81no—
780C2×C4×C89—81no—
781C2×C4×C89C22×D411yescharacteristic
782C2×C4×C89C22×D411yescharacteristic
783C2×C4×C89C22×D411yescharacteristic
784C2×C4×C89C22×D411yescharacteristic
785C2×C4×C89C22×D411yescharacteristic
786C2×C4×C89C22×D411yescharacteristic
787C2×C4×C89C22×D411yescharacteristic
788C2×C4×C89C22×D411yescharacteristic
789C2×C4×C89C22×D411yescharacteristic
790C2×C4×C89C22×D411yescharacteristic
791C2×C4×C89C22×D411yescharacteristic
792C2×C4×C89C2511yescharacteristic
793C8×C89—21no—
794C8×C89—21no—
795C8×C89—21no—
796C8×C89—21no—
797C8×C89—21no—
798C8×C89—21no—
799C8×C89—21no—
800C8×C89—21no—
801C22×C89—21no—
802C22×C89—21no—
803C22×C89—21no—
804C22×C89—21no—
805C22×C89—21no—
806C22×C89—21no—
807C22×C89—21no—
808C22×C89—21no—
809C22×C89—41no—
810C22×C89—41no—
811C22×C89—41no—
812C22×C89—41no—
813C22×C89—41no—
814C22×C89—41no—
815C22×C89#57812yes—
816C22×C89C23×D411yescharacteristic
817C4×C89—21no—
818C4×C89—21no—
819C4×C89—21no—
820C4×C89—21no—
821C4×C89—21no—
822C4×C89—21no—
823C4×C89—21no—
824C4×C89—22no—
825C4×C89—21no—
826C4×C89—21no—
827C4×C89—21no—
828C4×C89—21no—
829C4×C89—41no—
830C4×C89—41no—
831C4×C89—41no—
832C4×C89—41no—
833C4×C89—41no—
834C4×C89—41no—
835C4×C89—41no—
836C4×C89—41no—
837C4×C89—41no—
838C4×C89—41no—
839C4×C89—41no—
840C4×C89—41no—
841C4×C89—41no—
842C4×C89C2×H(5,𝔽2)11yescharacteristic
843C4×C89#58511yescharacteristic
844#62010C8911yesmaximal, characteristic, direct product factor, Sylow
845C2×C89—22no—
846C2×C89—41no—
847C2×C89—41no—
848C2×C89—81no—
849C2×C89—81no—
850C2×C89#348811yescharacteristic
851C2×C89C2×#57811yescharacteristic
852C2×C89#358611yescharacteristic
853#3552C2×C8911yescharacteristic, complemented
854#3516C2×C8911yescharacteristic, complemented
855#3402C2×C8911yescharacteristic, complemented
856#3398C2×C8911yescharacteristic, complemented
857#3377C2×C8911yescharacteristic, complemented
858#3374C2×C8911yescharacteristic, complemented
859#3320C2×C8911yescharacteristic, complemented
860#3316C2×C8911yescharacteristic, complemented
861#3315C2×C8911yescharacteristic, complemented
862#3312C2×C8911yescharacteristic, complemented
863#3301C2×C8911yescharacteristic, complemented
864#3299C2×C8911yescharacteristic, complemented
865D4×Q16C2×C8911yescharacteristic, complemented
866#3285C2×C8911yescharacteristic, complemented
867#3270C2×C8911yescharacteristic, complemented
868#3270C2×C8911yescharacteristic, complemented
869#3270C2×C8911yescharacteristic, complemented
870#3269C2×C8911yescharacteristic, complemented
871#3261C2×C8911yescharacteristic, complemented
872#3258C2×C8911yescharacteristic, complemented
873#3250C2×C8911yescharacteristic, complemented
874#3225C2×C8911yescharacteristic, complemented
875#3223C2×C8911yescharacteristic, complemented
876#3218C2×C8911yescharacteristic, complemented
877#3127C2×C8911yescharacteristic, complemented
878#3120C2×C8911yescharacteristic, complemented
879#3117C2×C8911yescharacteristic, complemented
880#3046C2×C8911yescharacteristic, complemented
881#3044C2×C8911yescharacteristic, complemented
882C2×#462C2×C8911yescharacteristic, complemented
883#2992C2×C8911yescharacteristic, complemented
884C89#6201011yescharacteristic, direct product factor, Sylow
885C2×#137C22×C8911yescharacteristic
886C2×#137C22×C8911yescharacteristic
887C2×#135C22×C8911yescharacteristic
888C22×Q16C22×C8911yescharacteristic
889C22×Q16C22×C8911yescharacteristic
890C22×Q16C22×C8911yescharacteristic
891#563—21no—
892#563—21no—
893#557C22×C8911yescharacteristic
894#557C22×C8911yescharacteristic
895#556—21no—
896#556C22×C8911yescharacteristic
897#556C22×C8911yescharacteristic
898#554—21no—
899#554—21no—
900#554C22×C8911yescharacteristic
901#553—21no—
902#553—21no—
903#553C22×C8911yescharacteristic
904#552—21no—
905#552C22×C8911yescharacteristic
906D4×Q8C22×C8911yescharacteristic
907D4×Q8C22×C8911yescharacteristic
908D4×Q8C22×C8911yescharacteristic
909D4×Q8C22×C8911yescharacteristic
910#548C22×C8911yescharacteristic
911#548C22×C8911yescharacteristic
912#548C22×C8911yescharacteristic
913#548C22×C8911yescharacteristic
914#547C22×C8911yescharacteristic
915#544—21no—
916#542—21no—
917#542—21no—
918#542C22×C8911yescharacteristic
919#541—21no—
920#541C22×C8911yescharacteristic
921#541C22×C8911yescharacteristic
922#541C22×C8911yescharacteristic
923#539—21no—
924#539—21no—
925#536C22×C8911yescharacteristic
926#536C22×C8911yescharacteristic
927C2×C4⋊Q8C22×C8911yescharacteristic
928#529—21no—
929#529—21no—
930#529C22×C8911yescharacteristic
931#529C22×C8911yescharacteristic
932#529C22×C8911yescharacteristic
933#520C22×C8911yescharacteristic
934#519C22×C8911yescharacteristic
935C2×C4×Q8C22×C8911yescharacteristic
936#497C22×C8911yescharacteristic
937#497C22×C8911yescharacteristic
938#497C22×C8911yescharacteristic
939#497C22×C8911yescharacteristic
940#495C22×C8911yescharacteristic
941#494C22×C8911yescharacteristic
942#491C22×C8911yescharacteristic
943#491C22×C8911yescharacteristic
944#491C22×C8911yescharacteristic
945#489C22×C8911yescharacteristic
946#488C22×C8911yescharacteristic
947#487C22×C8911yescharacteristic
948#485C22×C8911yescharacteristic
949#485C22×C8911yescharacteristic
950#484C22×C8911yescharacteristic
951#484C22×C8911yescharacteristic
952#483C22×C8911yescharacteristic
953#481C22×C8911yescharacteristic
954#479C22×C8911yescharacteristic
955#479C22×C8911yescharacteristic
956#479C22×C8911yescharacteristic
957#479C22×C8911yescharacteristic
958#479C22×C8911yescharacteristic
959#479C22×C8911yescharacteristic
960#478C22×C8911yescharacteristic
961#478C22×C8911yescharacteristic
962#477C22×C8911yescharacteristic
963#475C22×C8911yescharacteristic
964#470C22×C8911yescharacteristic
965#470C22×C8911yescharacteristic
966#470C22×C8911yescharacteristic
967#468C22×C8911yescharacteristic
968#467C22×C8911yescharacteristic
969#467C22×C8911yescharacteristic
970#467C22×C8911yescharacteristic
971#467C22×C8911yescharacteristic
972#466C22×C8911yescharacteristic
973#465C22×C8911yescharacteristic
974#465C22×C8911yescharacteristic
975#465C22×C8911yescharacteristic
976#464C22×C8911yescharacteristic
977#464C22×C8911yescharacteristic
978#464C22×C8911yescharacteristic
979#464C22×C8911yescharacteristic
980#464C22×C8911yescharacteristic
981#464C22×C8911yescharacteristic
982#464C22×C8911yescharacteristic
983#464C22×C8911yescharacteristic
984#464C22×C8911yescharacteristic
985#463C22×C8911yescharacteristic
986#463C22×C8911yescharacteristic
987#463C22×C8911yescharacteristic
988#462C22×C8911yescharacteristic
989#462C22×C8911yescharacteristic
990#462C22×C8911yescharacteristic
991#462C22×C8911yescharacteristic
992#462C22×C8911yescharacteristic
993#462C22×C8911yescharacteristic
994#462C22×C8911yescharacteristic
995#462C22×C8911yescharacteristic
996#462C22×C8911yescharacteristic
997#462C22×C8911yescharacteristic
998#462C22×C8911yescharacteristic
999#462C22×C8911yescharacteristic
1000#462C22×C8911yescharacteristic
1001#462C22×C8911yescharacteristic
1002#462C22×C8911yescharacteristic
1003#461C22×C8911yescharacteristic
1004#461C22×C8911yescharacteristic
1005#461C22×C8911yescharacteristic
1006#452C22×C8911yescharacteristic
1007#452C22×C8911yescharacteristic
1008#452C22×C8911yescharacteristic
1009#452C22×C8911yescharacteristic
1010#452C22×C8911yescharacteristic
1011#451C22×C8911yescharacteristic
1012#451C22×C8911yescharacteristic
1013#451C22×C8911yescharacteristic
1014#451C22×C8911yescharacteristic
1015#451C22×C8911yescharacteristic
1016#451C22×C8911yescharacteristic
1017#451C22×C8911yescharacteristic
1018#451C22×C8911yescharacteristic
1019#449C22×C8911yescharacteristic
1020#448C22×C8911yescharacteristic
1021#448C22×C8911yescharacteristic
1022#448C22×C8911yescharacteristic
1023#448C22×C8911yescharacteristic
1024#446C22×C8911yescharacteristic
1025#446C22×C8911yescharacteristic
1026#441C22×C8911yescharacteristic
1027#441C22×C8911yescharacteristic
1028#441C22×C8911yescharacteristic
1029#441C22×C8911yescharacteristic
1030#441C22×C8911yescharacteristic
1031#440C22×C8911yescharacteristic
1032#440C22×C8911yescharacteristic
1033#440C22×C8911yescharacteristic
1034C4×Q16C22×C8911yescharacteristic
1035C4×Q16C22×C8911yescharacteristic
1036C4×Q16C22×C8911yescharacteristic
1037C4×SD16C22×C8911yescharacteristic
1038#435C22×C8911yescharacteristic
1039#435C22×C8911yescharacteristic
1040#435C22×C8911yescharacteristic
1041#435C22×C8911yescharacteristic
1042C8×D4C22×C8911yescharacteristic
1043C8×D4C22×C8911yescharacteristic
1044#433C22×C8911yescharacteristic
1045#433C22×C8911yescharacteristic
1046#432C22×C8911yescharacteristic
1047#424C22×C8911yescharacteristic
1048#424C22×C8911yescharacteristic
1049C2×C4⋊C8C22×C8911yescharacteristic
1050#419C22×C8911yescharacteristic
1051#417C22×C8911yescharacteristic
1052#416C22×C8911yescharacteristic
1053C2×#103C22×C8911yescharacteristic
1054C2×#103C22×C8911yescharacteristic
1055C2×#103C22×C8911yescharacteristic
1056C2×#41C23×C8911yescharacteristic
1057C2×#41C23×C8911yescharacteristic
1058C2×#41C23×C8911yescharacteristic
1059C22×Q8C23×C8911yescharacteristic
1060C22×Q8C23×C8911yescharacteristic
1061C22×Q8C23×C8911yescharacteristic
1062C22×Q8C23×C8911yescharacteristic
1063C22×Q8C23×C8911yescharacteristic
1064C22×Q8C23×C8911yescharacteristic
1065#137—42no—
1066#137—42no—
1067#135—42no—
1068C2×Q16—42no—
1069C2×Q16—42no—
1070C2×Q16—42no—
1071C2×Q16C23×C8911yescharacteristic
1072C2×Q16C23×C8911yescharacteristic
1073C2×Q16C23×C8911yescharacteristic
1074C2×Q16C23×C8911yescharacteristic
1075C2×Q16C23×C8911yescharacteristic
1076C2×Q16C23×C8911yescharacteristic
1077C2×Q16C23×C8911yescharacteristic
1078C2×Q16C23×C8911yescharacteristic
1079C2×Q16C23×C8911yescharacteristic
1080C2×Q16C23×C8911yescharacteristic
1081C2×Q16C23×C8911yescharacteristic
1082C2×Q16C23×C8911yescharacteristic
1083C2×Q16C23×C8911yescharacteristic
1084C2×Q16C23×C8911yescharacteristic
1085C2×Q16C23×C8911yescharacteristic
1086C2×SD16C23×C8911yescharacteristic
1087C2×SD16C23×C8911yescharacteristic
1088C2×SD16C23×C8911yescharacteristic
1089C2×SD16C23×C8911yescharacteristic
1090C2×SD16C23×C8911yescharacteristic
1091C2×SD16C23×C8911yescharacteristic
1092C2×SD16C23×C8911yescharacteristic
1093C2×SD16C23×C8911yescharacteristic
1094C2×D8C23×C8911yescharacteristic
1095C2×M16C23×C8911yescharacteristic
1096C2×M16C23×C8911yescharacteristic
1097C22×C8C23×C8911yescharacteristic
1098C22×C8C23×C8911yescharacteristic
1099C22×C8C23×C8911yescharacteristic
1100C22×C8C23×C8911yescharacteristic
1101C4⋊Q8—21no—
1102C4⋊Q8—21no—
1103C4⋊Q8—21no—
1104C4⋊Q8—21no—
1105C4⋊Q8—21no—
1106C4⋊Q8—21no—
1107C4⋊Q8—21no—
1108C4⋊Q8C23×C8911yescharacteristic
1109C4⋊Q8C23×C8911yescharacteristic
1110C4⋊Q8C23×C8911yescharacteristic
1111C4⋊Q8C23×C8911yescharacteristic
1112C4⋊Q8C23×C8911yescharacteristic
1113C4⋊Q8C23×C8911yescharacteristic
1114C4⋊Q8C23×C8911yescharacteristic
1115C4⋊Q8C23×C8911yescharacteristic
1116#126—21no—
1117#126—21no—
1118#126—21no—
1119#126—21no—
1120#126—21no—
1121#126—21no—
1122#126—21no—
1123#126—21no—
1124#126—21no—
1125#126—21no—
1126#126—21no—
1127#126—21no—
1128#126—21no—
1129#126—21no—
1130#126—21no—
1131#126D4×C8911yescharacteristic
1132#126D4×C8911yescharacteristic
1133#125—21no—
1134#125—21no—
1135#125—21no—
1136#125—21no—
1137#125—21no—
1138#125—21no—
1139#125—21no—
1140#125—21no—
1141#125—21no—
1142#125—21no—
1143#125—21no—
1144#125—21no—
1145#125—21no—
1146#125D4×C8911yescharacteristic
1147#125C23×C8911yescharacteristic
1148#125C23×C8911yescharacteristic
1149#125C23×C8911yescharacteristic
1150#124—21no—
1151#124—21no—
1152#124—21no—
1153#124—21no—
1154#124—21no—
1155#124D4×C8911yescharacteristic
1156#124C23×C8911yescharacteristic
1157#124C23×C8911yescharacteristic
1158#124C23×C8911yescharacteristic
1159#124C23×C8911yescharacteristic
1160#124C23×C8911yescharacteristic
1161#123—21no—
1162#123—21no—
1163#123—21no—
1164#123—21no—
1165#123—21no—
1166#123—21no—
1167#123—21no—
1168#123—21no—
1169#123—21no—
1170#123—21no—
1171#123—21no—
1172#123D4×C8911yescharacteristic
1173#123D4×C8911yescharacteristic
1174C22⋊Q8—21no—
1175C22⋊Q8—21no—
1176C22⋊Q8—21no—
1177C22⋊Q8—21no—
1178C22⋊Q8—21no—
1179C22⋊Q8—21no—
1180C22⋊Q8—21no—
1181C22⋊Q8—21no—
1182C22⋊Q8—21no—
1183C22⋊Q8—21no—
1184C22⋊Q8—21no—
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⋊Q8D4×C8911yescharacteristic
1196C22⋊Q8C23×C8911yescharacteristic
1197C22⋊Q8C23×C8911yescharacteristic
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#121D4×C8911yescharacteristic
1212#121C23×C8911yescharacteristic
1213#121C23×C8911yescharacteristic
1214#121C23×C8911yescharacteristic
1215C4×Q8—21no—
1216C4×Q8—21no—
1217C4×Q8—21no—
1218C4×Q8—21no—
1219C4×Q8—21no—
1220C4×Q8—21no—
1221C4×Q8C23×C8911yescharacteristic
1222C4×Q8C23×C8911yescharacteristic
1223C4×Q8C23×C8911yescharacteristic
1224C4×Q8C23×C8911yescharacteristic
1225C4×Q8C23×C8911yescharacteristic
1226C4×Q8C23×C8911yescharacteristic
1227C4×Q8C23×C8911yescharacteristic
1228C4×Q8C23×C8911yescharacteristic
1229C4×Q8C23×C8911yescharacteristic
1230C4×Q8C23×C8911yescharacteristic
1231C4×Q8C23×C8911yescharacteristic
1232C4×Q8C23×C8911yescharacteristic
1233C4×Q8C23×C8911yescharacteristic
1234C4×Q8C23×C8911yescharacteristic
1235C4×D4—21no—
1236C4×D4—21no—
1237C4×D4—21no—
1238C4×D4—21no—
1239C4×D4—21no—
1240C4×D4—21no—
1241C4×D4—21no—
1242C4×D4—21no—
1243C4×D4—21no—
1244C4×D4—21no—
1245C4×D4—21no—
1246C4×D4—21no—
1247C4×D4—21no—
1248C4×D4—21no—
1249C4×D4C23×C8911yescharacteristic
1250C4×D4C23×C8911yescharacteristic
1251C4×D4C23×C8911yescharacteristic
1252C4×D4C23×C8911yescharacteristic
1253C4×D4C23×C8911yescharacteristic
1254C4×D4C23×C8911yescharacteristic
1255#117—21no—
1256#117—21no—
1257#117—21no—
1258#117—21no—
1259#117—21no—
1260#117—21no—
1261#117—21no—
1262#117—21no—
1263#117C23×C8911yescharacteristic
1264#117C23×C8911yescharacteristic
1265#117C23×C8911yescharacteristic
1266C2×C4⋊C4—21no—
1267C2×C4⋊C4—21no—
1268C2×C4⋊C4—21no—
1269C2×C4⋊C4—21no—
1270C2×C4⋊C4—21no—
1271C2×C4⋊C4C23×C8911yescharacteristic
1272C2×C4⋊C4C23×C8911yescharacteristic
1273C2×C42—21no—
1274C2×C42C23×C8911yescharacteristic
1275#107C23×C8911yescharacteristic
1276#107C23×C8911yescharacteristic
1277#107C23×C8911yescharacteristic
1278#107C23×C8911yescharacteristic
1279#106C23×C8911yescharacteristic
1280#106C23×C8911yescharacteristic
1281#106C23×C8911yescharacteristic
1282#106C23×C8911yescharacteristic
1283C4⋊C8C23×C8911yescharacteristic
1284C4⋊C8C23×C8911yescharacteristic
1285C4⋊C8C23×C8911yescharacteristic
1286C4⋊C8C23×C8911yescharacteristic
1287C4⋊C8C23×C8911yescharacteristic
1288C4⋊C8C23×C8911yescharacteristic
1289C4⋊C8C23×C8911yescharacteristic
1290C4⋊C8C23×C8911yescharacteristic
1291C4⋊C8C23×C8911yescharacteristic
1292C4⋊C8C23×C8911yescharacteristic
1293#103C23×C8911yescharacteristic
1294#103C23×C8911yescharacteristic
1295#103C23×C8911yescharacteristic
1296#103C23×C8911yescharacteristic
1297#103C23×C8911yescharacteristic
1298#103C23×C8911yescharacteristic
1299#103C23×C8911yescharacteristic
1300#103C23×C8911yescharacteristic
1301#103C23×C8911yescharacteristic
1302#103C23×C8911yescharacteristic
1303#103C23×C8911yescharacteristic
1304#103C23×C8911yescharacteristic
1305#103C23×C8911yescharacteristic
1306#103C23×C8911yescharacteristic
1307#103C23×C8911yescharacteristic
1308#103C23×C8911yescharacteristic
1309#103C23×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#102C23×C8911yescharacteristic
1320#102C23×C8911yescharacteristic
1321#102C23×C8911yescharacteristic
1322#102C23×C8911yescharacteristic
1323#102C23×C8911yescharacteristic
1324#102C23×C8911yescharacteristic
1325C22⋊C8C23×C8911yescharacteristic
1326C22⋊C8C23×C8911yescharacteristic
1327C22⋊C8C23×C8911yescharacteristic
1328C22⋊C8C23×C8911yescharacteristic
1329C22⋊C8C23×C8911yescharacteristic
1330C22⋊C8C23×C8911yescharacteristic
1331#97C23×C8911yescharacteristic
1332#97C23×C8911yescharacteristic
1333#97C23×C8911yescharacteristic
1334#97C23×C8911yescharacteristic
1335C4×C8C23×C8911yescharacteristic
1336C4×C8C23×C8911yescharacteristic
1337#41—22no—
1338#41—41no—
1339#41—41no—
1340#41—41no—
1341#41—41no—
1342#41—41no—
1343C2×Q8—21no—
1344C2×Q8—21no—
1345C2×Q8—21no—
1346C2×Q8—21no—
1347C2×Q8—21no—
1348C2×Q8—21no—
1349C2×Q8—21no—
1350C2×Q8—22no—
1351C2×Q8—22no—
1352C2×Q8—41no—
1353C2×Q8—41no—
1354C2×Q8—41no—
1355C2×Q8—41no—
1356C2×Q8—41no—
1357C2×Q8—41no—
1358C2×Q8—41no—
1359C2×Q8—41no—
1360C2×Q8—41no—
1361C2×Q8—41no—
1362C2×Q8C2×D4×C8911yescharacteristic
1363C2×Q8C24×C8911yescharacteristic
1364C2×Q8C24×C8911yescharacteristic
1365C2×Q8C24×C8911yescharacteristic
1366C2×Q8C24×C8911yescharacteristic
1367C2×Q8C24×C8911yescharacteristic
1368C2×Q8C24×C8911yescharacteristic
1369C2×Q8C24×C8911yescharacteristic
1370C2×Q8C24×C8911yescharacteristic
1371C2×D4—21no—
1372C2×D4—21no—
1373C2×D4—21no—
1374C2×D4—21no—
1375C2×D4—21no—
1376C2×D4—21no—
1377C2×D4C2×D4×C8911yescharacteristic
1378C2×D4C2×D4×C8911yescharacteristic
1379C2×D4C2×D4×C8911yescharacteristic
1380C2×D4C24×C8911yescharacteristic
1381C2×D4C24×C8911yescharacteristic
1382C22×C4—21no—
1383C22×C4—21no—
1384C22×C4—21no—
1385C22×C4—21no—
1386C22×C4—21no—
1387C22×C4—21no—
1388C22×C4—21no—
1389C22×C4—21no—
1390C22×C4—21no—
1391C22×C4—21no—
1392C22×C4—21no—
1393C22×C4—21no—
1394C22×C4—21no—
1395C22×C4—21no—
1396C22×C4C2×D4×C8911yescharacteristic
1397C22×C4C2×D4×C8911yescharacteristic
1398C22×C4C24×C8911yescharacteristic
1399C22×C4C24×C8911yescharacteristic
1400C22×C4C24×C8911yescharacteristic
1401Q16—22no—
1402Q16—22no—
1403Q16—22no—
1404Q16—22no—
1405Q16—22no—
1406Q16—41no—
1407Q16—41no—
1408Q16—41no—
1409Q16—41no—
1410Q16—41no—
1411Q16—41no—
1412Q16—41no—
1413Q16—41no—
1414Q16—41no—
1415Q16—41no—
1416SD16—22no—
1417SD16—41no—
1418SD16—41no—
1419SD16—41no—
1420SD16—41no—
1421SD16—41no—
1422SD16—41no—
1423SD16—41no—
1424D8—41no—
1425M16—41no—
1426M16—41no—
1427C2×C8—41no—
1428C2×C8—41no—
1429C2×C8—41no—
1430C2×C8—41no—
1431C2×C8C24×C8911yescharacteristic
1432C2×C8C24×C8911yescharacteristic
1433C2×C8C24×C8911yescharacteristic
1434C2×C8C24×C8911yescharacteristic
1435C2×C8C24×C8911yescharacteristic
1436C2×C8C24×C8911yescharacteristic
1437C2×C8C24×C8911yescharacteristic
1438C2×C8C24×C8911yescharacteristic
1439C4⋊C4—21no—
1440C4⋊C4—21no—
1441C4⋊C4—21no—
1442C4⋊C4—21no—
1443C4⋊C4—21no—
1444C4⋊C4—21no—
1445C4⋊C4—21no—
1446C4⋊C4—21no—
1447C4⋊C4—21no—
1448C4⋊C4—21no—
1449C4⋊C4—21no—
1450C4⋊C4—21no—
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—21no—
1454C4⋊C4—21no—
1455C4⋊C4—21no—
1456C4⋊C4—21no—
1457C4⋊C4—21no—
1458C4⋊C4—21no—
1459C4⋊C4—21no—
1460C4⋊C4—21no—
1461C4⋊C4—21no—
1462C4⋊C4—21no—
1463C4⋊C4—21no—
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⋊C4C2×D4×C8911yescharacteristic
1485C4⋊C4C2×D4×C8911yescharacteristic
1486C4⋊C4C2×D4×C8911yescharacteristic
1487C4⋊C4C2×D4×C8911yescharacteristic
1488C4⋊C4C2×D4×C8911yescharacteristic
1489C4⋊C4C2×D4×C8911yescharacteristic
1490C4⋊C4C2×D4×C8911yescharacteristic
1491C4⋊C4C2×D4×C8911yescharacteristic
1492C4⋊C4C2×D4×C8911yescharacteristic
1493C4⋊C4C2×D4×C8911yescharacteristic
1494C4⋊C4C24×C8911yescharacteristic
1495C4⋊C4C24×C8911yescharacteristic
1496C4⋊C4C24×C8911yescharacteristic
1497C4⋊C4C24×C8911yescharacteristic
1498C4⋊C4C24×C8911yescharacteristic
1499C4⋊C4C24×C8911yescharacteristic
1500C22⋊C4—21no—
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4—21no—
1507C22⋊C4—21no—
1508C22⋊C4—21no—
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⋊C4C2×D4×C8911yescharacteristic
1527C22⋊C4C2×D4×C8911yescharacteristic
1528C22⋊C4C2×D4×C8911yescharacteristic
1529C22⋊C4C2×D4×C8911yescharacteristic
1530C22⋊C4C2×D4×C8911yescharacteristic
1531C22⋊C4C2×D4×C8911yescharacteristic
1532C22⋊C4C2×D4×C8911yescharacteristic
1533C22⋊C4C2×D4×C8911yescharacteristic
1534C22⋊C4C2×D4×C8911yescharacteristic
1535C22⋊C4C2×D4×C8911yescharacteristic
1536C42—21no—
1537C42—21no—
1538C42—21no—
1539C42—21no—
1540C42—21no—
1541C42—21no—
1542C42—21no—
1543C42—21no—
1544C42—21no—
1545C42—21no—
1546C42—21no—
1547C42—21no—
1548C42—21no—
1549C42—21no—
1550C42C2×D4×C8911yescharacteristic
1551C42C2×D4×C8911yescharacteristic
1552C42C24×C8911yescharacteristic
1553C42C24×C8911yescharacteristic
1554C42C24×C8911yescharacteristic
1555C42C24×C8911yescharacteristic
1556C23—21no—
1557C23—21no—
1558C23C22×D4×C8911yescharacteristic
1559C23C22×D4×C8911yescharacteristic
1560C23C22×D4×C8911yescharacteristic
1561Q8—21no—
1562Q8—21no—
1563Q8—21no—
1564Q8—21no—
1565Q8—21no—
1566Q8—21no—
1567Q8—21no—
1568Q8—21no—
1569Q8—21no—
1570Q8—21no—
1571Q8—21no—
1572Q8—21no—
1573Q8—21no—
1574Q8—21no—
1575Q8—21no—
1576Q8—41no—
1577Q8—42no—
1578Q8—42no—
1579Q8—81no—
1580Q8—81no—
1581Q8—81no—
1582Q8—81no—
1583Q8—81no—
1584Q8H(5,𝔽2)×C8912yes—
1585D4—22no—
1586D4—22no—
1587D4—21no—
1588D4—21no—
1589D4—21no—
1590D4—21no—
1591D4—41no—
1592D4—42no—
1593D4—42no—
1594D4—42no—
1595D4—81no—
1596D4—81no—
1597D4—81no—
1598C2×C4—22no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—41no—
1620C2×C4—42no—
1621C2×C4—42no—
1622C2×C4—42no—
1623C2×C4—42no—
1624C2×C4—81no—
1625C2×C4—81no—
1626C2×C4—81no—
1627C2×C4—81no—
1628C2×C4—81no—
1629C2×C4—81no—
1630C2×C4—81no—
1631C2×C4—81no—
1632C2×C4—81no—
1633C2×C4—81no—
1634C2×C4C22×D4×C8911yescharacteristic
1635C2×C4C22×D4×C8911yescharacteristic
1636C2×C4C22×D4×C8911yescharacteristic
1637C2×C4C22×D4×C8911yescharacteristic
1638C2×C4C22×D4×C8911yescharacteristic
1639C2×C4C22×D4×C8911yescharacteristic
1640C2×C4C22×D4×C8911yescharacteristic
1641C2×C4C22×D4×C8911yescharacteristic
1642C2×C4C22×D4×C8911yescharacteristic
1643C2×C4C22×D4×C8911yescharacteristic
1644C2×C4C22×D4×C8911yescharacteristic
1645C2×C4C25×C8911yescharacteristic
1646C8—21no—
1647C8—21no—
1648C8—21no—
1649C8—21no—
1650C8—21no—
1651C8—21no—
1652C8—21no—
1653C8—21no—
1654C22—21no—
1655C22—21no—
1656C22—21no—
1657C22—21no—
1658C22—21no—
1659C22—21no—
1660C22—21no—
1661C22—21no—
1662C22—41no—
1663C22—41no—
1664C22—41no—
1665C22—41no—
1666C22—41no—
1667C22—41no—
1668C22#578×C8912yes—
1669C22C23×D4×C8911yescharacteristic
1670C4—21no—
1671C4—21no—
1672C4—21no—
1673C4—21no—
1674C4—21no—
1675C4—21no—
1676C4—21no—
1677C4—21no—
1678C4—21no—
1679C4—21no—
1680C4—21no—
1681C4—22no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4—41no—
1687C4—41no—
1688C4—41no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4C2×H(5,𝔽2)×C8911yescharacteristic
1696C4#585×C8911yescharacteristic
1697C2—22no—
1698C2—41no—
1699C2—41no—
1700C2—81no—
1701C2—81no—
1702C2C89×#348811yescharacteristic
1703C2C2×#578×C8911yescharacteristic
1704C2C89×#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×#3552C2semidirect
2. C89×#3516C2semidirect
3. C89×#3402C2semidirect
4. C89×#3398C2semidirect
5. C89×#3377C2semidirect
6. C89×#3374C2semidirect
7. C89×#3320C2semidirect
8. C89×#3316C2semidirect
9. C89×#3315C2semidirect
10. C89×#3312C2semidirect
11. C89×#3301C2semidirect
12. C89×#3299C2semidirect
13. D4×Q16×C89C2semidirect
14. C89×#3285C2semidirect
15. C89×#3270C2semidirect
16. C89×#3270C2semidirect
17. C89×#3270C2semidirect
18. C89×#3269C2semidirect
19. C89×#3261C2semidirect
20. C89×#3258C2semidirect
21. C89×#3250C2semidirect
22. C89×#3225C2semidirect
23. C89×#3223C2semidirect
24. C89×#3218C2semidirect
25. C89×#3127C2semidirect
26. C89×#3120C2semidirect
27. C89×#3117C2semidirect
28. C89×#3046C2semidirect
29. C89×#3044C2semidirect
30. C2×#462×C89C2semidirect
31. C89×#2992C2semidirect
844. #62010C89direct (N × H)
853. #3552C2×C89semidirect
854. #3516C2×C89semidirect
855. #3402C2×C89semidirect
856. #3398C2×C89semidirect
857. #3377C2×C89semidirect
858. #3374C2×C89semidirect
859. #3320C2×C89semidirect
860. #3316C2×C89semidirect
861. #3315C2×C89semidirect
862. #3312C2×C89semidirect
863. #3301C2×C89semidirect
864. #3299C2×C89semidirect
865. D4×Q16C2×C89semidirect
866. #3285C2×C89semidirect
867. #3270C2×C89semidirect
868. #3270C2×C89semidirect
869. #3270C2×C89semidirect
870. #3269C2×C89semidirect
871. #3261C2×C89semidirect
872. #3258C2×C89semidirect
873. #3250C2×C89semidirect
874. #3225C2×C89semidirect
875. #3223C2×C89semidirect
876. #3218C2×C89semidirect
877. #3127C2×C89semidirect
878. #3120C2×C89semidirect
879. #3117C2×C89semidirect
880. #3046C2×C89semidirect
881. #3044C2×C89semidirect
882. C2×#462C2×C89semidirect
883. #2992C2×C89semidirect
884. C89#62010direct (N × H)

Maximal subgroups

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

subgroupindex
C89×#35522
C89×#35162
C89×#34022
C89×#33982
C89×#33772
C89×#33742
C89×#33202
C89×#33162
C89×#33152
C89×#33122
C89×#33012
C89×#32992
D4×Q16×C892
C89×#32852
C89×#32702
C89×#32692
C89×#32612
C89×#32582
C89×#32502
C89×#32252
C89×#32232
C89×#32182
C89×#31272
C89×#31202
C89×#31172
C89×#30462
C89×#30442
C2×#462×C892
C89×#29922
#6201089