Finite Group Databasebeta

← C89×#62554 #36440402

Subgroups — C89×#62554 #36440402

Order 22784.

1684 conjugacy classes of subgroups.

The subgroup lattice has 1682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C89×#3565C211yesmaximal, characteristic, complemented
2C89×#3562C211yesmaximal, characteristic, complemented
3C89×#3377C211yesmaximal, characteristic, complemented
4C89×#3370C211yesmaximal, characteristic, complemented
5C89×#3365C211yesmaximal, characteristic, complemented
6C89×#3360C211yesmaximal, characteristic, complemented
7C89×#3327C211yesmaximal, characteristic, complemented
8C89×#3322C211yesmaximal, characteristic, complemented
9C89×#3321C211yesmaximal, characteristic, complemented
10C89×#3317C211yesmaximal, characteristic, complemented
11C89×#3311C211yesmaximal, characteristic, complemented
12C89×#3307C211yesmaximal, characteristic, complemented
13C89×#3305C211yesmaximal, characteristic, complemented
14C89×#3302C211yesmaximal, characteristic, complemented
15C89×#3301C211yesmaximal, characteristic, complemented
16C89×#3300C211yesmaximal, characteristic, complemented
17C89×#3297C211yesmaximal, characteristic, complemented
18C89×#3296C211yesmaximal, characteristic, complemented
19C89×#3242C211yesmaximal, characteristic, complemented
20C89×#3241C211yesmaximal, characteristic, complemented
21C89×#3240C211yesmaximal, characteristic, complemented
22C89×#3225C211yesmaximal, characteristic, complemented
23C89×#3224C211yesmaximal, characteristic, complemented
24C89×#3219C211yesmaximal, characteristic, complemented
25C89×#3179C211yesmaximal, characteristic, complemented
26C89×#3178C211yesmaximal, characteristic, complemented
27C89×#3168C211yesmaximal, characteristic, complemented
28C89×#3137C211yesmaximal, characteristic, complemented
29C89×#3136C211yesmaximal, characteristic, complemented
30C89×#3131C211yesmaximal, characteristic, complemented
31C89×#2966C211yesmaximal, characteristic, complemented
32#563×C89—21no—
33#562×C89—21no—
34#562×C89—21no—
35#560×C89—21no—
36#559×C89C2211yescharacteristic
37#557×C89C2211yescharacteristic, complemented
38#556×C89—21no—
39#556×C89C2211yescharacteristic
40#556×C89C2211yescharacteristic
41#555×C89C2211yescharacteristic, complemented
42#554×C89C2211yescharacteristic, complemented
43#553×C89—21no—
44#553×C89C2211yescharacteristic
45#553×C89C2211yescharacteristic
46#552×C89—21no—
47#552×C89C2211yescharacteristic
48#552×C89C2211yescharacteristic, complemented
49#551×C89—21no—
50#550×C89C2211yescharacteristic
51#548×C89C2211yescharacteristic
52#548×C89C2211yescharacteristic
53#547×C89C2211yescharacteristic
54#546×C89C2211yescharacteristic
55#546×C89C2211yescharacteristic
56#544×C89C2211yescharacteristic
57#544×C89C2211yescharacteristic, complemented
58#542×C89—21no—
59#542×C89—21no—
60#542×C89C2211yescharacteristic
61#542×C89C2211yescharacteristic, complemented
62#541×C89—21no—
63#541×C89C2211yescharacteristic
64#540×C89—21no—
65#540×C89C2211yescharacteristic
66#539×C89—21no—
67#539×C89—21no—
68#538×C89—21no—
69#538×C89—21no—
70#536×C89C2211yescharacteristic
71#535×C89C2211yescharacteristic
72#533×C89C2211yescharacteristic, complemented
73#532×C89C2211yescharacteristic
74#529×C89C2211yescharacteristic
75#529×C89C2211yescharacteristic
76#529×C89C2211yescharacteristic, complemented
77#501×C89C2211yescharacteristic, complemented
78#501×C89C2211yescharacteristic, complemented
79#499×C89C2211yescharacteristic, complemented
80#497×C89C2211yescharacteristic, complemented
81#496×C89C2211yescharacteristic
82#495×C89C2211yescharacteristic
83#491×C89C2211yescharacteristic, complemented
84#491×C89C2211yescharacteristic, complemented
85#490×C89C2211yescharacteristic
86#490×C89C2211yescharacteristic
87#489×C89C2211yescharacteristic
88#489×C89C2211yescharacteristic
89#489×C89C2211yescharacteristic
90#489×C89C2211yescharacteristic
91#488×C89C2211yescharacteristic
92#488×C89C2211yescharacteristic
93#488×C89C2211yescharacteristic
94#488×C89C2211yescharacteristic
95#488×C89C2211yescharacteristic
96#488×C89C2211yescharacteristic, complemented
97#488×C89C2211yescharacteristic, complemented
98#488×C89C2211yescharacteristic, complemented
99#487×C89C2211yescharacteristic, complemented
100#487×C89C2211yescharacteristic, complemented
101#487×C89C2211yescharacteristic, complemented
102#486×C89C2211yescharacteristic
103#486×C89C2211yescharacteristic
104#486×C89C2211yescharacteristic
105#485×C89C2211yescharacteristic
106#485×C89C2211yescharacteristic
107#485×C89C2211yescharacteristic, complemented
108#485×C89C2211yescharacteristic, complemented
109#484×C89C2211yescharacteristic
110#483×C89C2211yescharacteristic
111#482×C89C2211yescharacteristic
112#482×C89C2211yescharacteristic
113#482×C89C2211yescharacteristic
114#482×C89C2211yescharacteristic, complemented
115#481×C89C2211yescharacteristic, complemented
116#480×C89C2211yescharacteristic
117#479×C89C2211yescharacteristic, complemented
118#479×C89C2211yescharacteristic, complemented
119#479×C89C2211yescharacteristic, complemented
120#479×C89C2211yescharacteristic, complemented
121#478×C89C2211yescharacteristic
122#478×C89C2211yescharacteristic
123#478×C89C2211yescharacteristic
124#478×C89C2211yescharacteristic, complemented
125#477×C89C2211yescharacteristic, complemented
126#476×C89C2211yescharacteristic
127#475×C89C2211yescharacteristic, complemented
128#474×C89C2211yescharacteristic, complemented
129#470×C89C2211yescharacteristic
130#469×C89C2211yescharacteristic
131#468×C89C2211yescharacteristic
132#468×C89C2211yescharacteristic, complemented
133#467×C89C2211yescharacteristic
134#467×C89C2211yescharacteristic, complemented
135#466×C89C2211yescharacteristic
136#466×C89C2211yescharacteristic, complemented
137#465×C89C2211yescharacteristic
138#465×C89C2211yescharacteristic
139#465×C89C2211yescharacteristic
140#465×C89C2211yescharacteristic, complemented
141#464×C89C2211yescharacteristic
142#464×C89C2211yescharacteristic
143#464×C89C2211yescharacteristic
144#464×C89C2211yescharacteristic, complemented
145#463×C89C2211yescharacteristic
146#463×C89C2211yescharacteristic
147#463×C89C2211yescharacteristic
148#463×C89C2211yescharacteristic, complemented
149#462×C89C2211yescharacteristic, complemented
150#461×C89C2211yescharacteristic, complemented
151#460×C89C2211yescharacteristic
152#459×C89C2211yescharacteristic
153#452×C89C2211yescharacteristic
154#452×C89C2211yescharacteristic
155#452×C89C2211yescharacteristic
156#452×C89C2211yescharacteristic, complemented
157#451×C89C2211yescharacteristic, complemented
158#450×C89C2211yescharacteristic
159#449×C89C2211yescharacteristic
160#449×C89C2211yescharacteristic
161#449×C89C2211yescharacteristic
162#449×C89C2211yescharacteristic, complemented
163#448×C89C2211yescharacteristic, complemented
164#447×C89C2211yescharacteristic
165#446×C89C2211yescharacteristic, complemented
166C8×Q8×C89C2211yescharacteristic, complemented
167#442×C89C2211yescharacteristic, complemented
168#441×C89C2211yescharacteristic, complemented
169#440×C89C2211yescharacteristic
170#440×C89C2211yescharacteristic, complemented
171C4×Q16×C89C2211yescharacteristic, complemented
172C4×Q16×C89C2211yescharacteristic, complemented
173C4×SD16×C89C2211yescharacteristic
174C4×SD16×C89C2211yescharacteristic, complemented
175C4×SD16×C89C2211yescharacteristic, complemented
176C4×SD16×C89C2211yescharacteristic, complemented
177C4×D8×C89C2211yescharacteristic
178C4×D8×C89C2211yescharacteristic
179#436×C89C2211yescharacteristic
180#435×C89C2211yescharacteristic
181#435×C89C2211yescharacteristic, complemented
182C8×D4×C89C2211yescharacteristic
183C8×D4×C89C2211yescharacteristic
184C8×D4×C89C2211yescharacteristic, complemented
185#433×C89C2211yescharacteristic
186#433×C89C2211yescharacteristic, complemented
187#432×C89C2211yescharacteristic, complemented
188#419×C89C2211yescharacteristic, complemented
189#418×C89C2211yescharacteristic
190#417×C89C2211yescharacteristic
191#417×C89C2211yescharacteristic
192#416×C89C2211yescharacteristic
193#416×C89C2211yescharacteristic
194#416×C89C2211yescharacteristic
195#416×C89C2211yescharacteristic
196#416×C89C2211yescharacteristic, complemented
197#416×C89C2211yescharacteristic, complemented
198C2×#103×C89C2211yescharacteristic, complemented
199C2×#102×C89C2211yescharacteristic
200#405×C89C2211yescharacteristic
201#405×C89C2211yescharacteristic, complemented
202C2×C4×C8×C89C2211yescharacteristic, complemented
203C2×#41×C89C2311yescharacteristic
204C2×#41×C89C2311yescharacteristic
205C2×#41×C89C2311yescharacteristic
206C2×#41×C89C2311yescharacteristic
207C22×Q8×C89C2311yescharacteristic
208C22×D4×C89C2311yescharacteristic
209C2×Q16×C89C2311yescharacteristic
210C2×Q16×C89C2311yescharacteristic
211C2×Q16×C89C2311yescharacteristic
212C2×SD16×C89C2311yescharacteristic
213C2×SD16×C89C2311yescharacteristic
214C2×SD16×C89C2311yescharacteristic
215C2×SD16×C89C2311yescharacteristic
216C2×SD16×C89C2311yescharacteristic
217C2×SD16×C89C2311yescharacteristic
218C2×D8×C89C2311yescharacteristic
219C2×D8×C89C2311yescharacteristic
220C2×D8×C89C2311yescharacteristic
221C2×M16×C89C2311yescharacteristic
222C2×M16×C89C2311yescharacteristic
223C22×C8×C89C2311yescharacteristic
224C22×C8×C89C2311yescharacteristic
225C22×C8×C89C2311yescharacteristic
226C22×C8×C89C2311yescharacteristic
227C4⋊Q8×C89—21no—
228C4⋊Q8×C89—21no—
229C4⋊Q8×C89—21no—
230C4⋊Q8×C89C2311yescharacteristic
231C4⋊Q8×C89C2311yescharacteristic
232C4⋊Q8×C89C2311yescharacteristic
233C4⋊Q8×C89C2311yescharacteristic
234C4⋊Q8×C89C2311yescharacteristic
235C4⋊Q8×C89C2311yescharacteristic
236#127×C89—21no—
237#127×C89C2311yescharacteristic
238#127×C89C2311yescharacteristic
239#126×C89—21no—
240#126×C89—21no—
241#126×C89—21no—
242#126×C89—21no—
243#126×C89—21no—
244#126×C89—21no—
245#126×C89—21no—
246#126×C89—21no—
247#126×C89—21no—
248#126×C89—21no—
249#126×C89—21no—
250#126×C89—21no—
251#126×C89—21no—
252#126×C89—21no—
253#126×C89D411yescharacteristic
254#126×C89D411yescharacteristic
255#125×C89—21no—
256#125×C89—21no—
257#125×C89—21no—
258#125×C89—21no—
259#125×C89—21no—
260#125×C89—21no—
261#125×C89—21no—
262#125×C89—21no—
263#125×C89D411yescharacteristic
264#125×C89C2311yescharacteristic
265#125×C89C2311yescharacteristic
266#125×C89C2311yescharacteristic
267#125×C89C2311yescharacteristic
268#125×C89C2311yescharacteristic
269#125×C89C2311yescharacteristic
270#124×C89—21no—
271#124×C89—21no—
272#124×C89—21no—
273#124×C89—21no—
274#124×C89—21no—
275#124×C89—21no—
276#124×C89—21no—
277#124×C89—21no—
278#124×C89D411yescharacteristic
279#124×C89C2311yescharacteristic
280#124×C89C2311yescharacteristic
281#124×C89C2311yescharacteristic
282#124×C89C2311yescharacteristic
283#124×C89C2311yescharacteristic
284#124×C89C2311yescharacteristic
285#123×C89—21no—
286#123×C89—21no—
287#123×C89—21no—
288#123×C89—21no—
289#123×C89—21no—
290#123×C89—21no—
291#123×C89—21no—
292#123×C89—21no—
293#123×C89—21no—
294#123×C89—21no—
295#123×C89—21no—
296#123×C89—21no—
297#123×C89—21no—
298#123×C89—21no—
299#123×C89—21no—
300#123×C89—21no—
301#123×C89—21no—
302#123×C89—21no—
303#123×C89D411yescharacteristic
304#123×C89D411yescharacteristic
305C22⋊Q8×C89—21no—
306C22⋊Q8×C89—21no—
307C22⋊Q8×C89—21no—
308C22⋊Q8×C89—21no—
309C22⋊Q8×C89—21no—
310C22⋊Q8×C89—21no—
311C22⋊Q8×C89—21no—
312C22⋊Q8×C89—21no—
313C22⋊Q8×C89—21no—
314C22⋊Q8×C89—21no—
315C22⋊Q8×C89—21no—
316C22⋊Q8×C89—21no—
317C22⋊Q8×C89—21no—
318C22⋊Q8×C89—21no—
319C22⋊Q8×C89—21no—
320C22⋊Q8×C89—21no—
321C22⋊Q8×C89D411yescharacteristic
322C22⋊Q8×C89C2311yescharacteristic
323C22⋊Q8×C89C2311yescharacteristic
324C22⋊Q8×C89C2311yescharacteristic
325C22⋊Q8×C89C2311yescharacteristic
326C22⋊Q8×C89C2311yescharacteristic
327C22⋊Q8×C89C2311yescharacteristic
328#121×C89—21no—
329#121×C89—21no—
330#121×C89—21no—
331#121×C89—21no—
332#121×C89—21no—
333#121×C89—21no—
334#121×C89—21no—
335#121×C89—21no—
336#121×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×C89D411yescharacteristic
345#121×C89C2311yescharacteristic
346#121×C89C2311yescharacteristic
347#121×C89C2311yescharacteristic
348#121×C89C2311yescharacteristic
349#121×C89C2311yescharacteristic
350#121×C89C2311yescharacteristic
351#120×C89—21no—
352#120×C89—21no—
353#120×C89—21no—
354#120×C89—21no—
355C4×Q8×C89—21no—
356C4×Q8×C89—21no—
357C4×Q8×C89—21no—
358C4×Q8×C89—21no—
359C4×Q8×C89C2311yescharacteristic
360C4×Q8×C89C2311yescharacteristic
361C4×Q8×C89C2311yescharacteristic
362C4×Q8×C89C2311yescharacteristic
363C4×Q8×C89C2311yescharacteristic
364C4×Q8×C89C2311yescharacteristic
365C4×Q8×C89C2311yescharacteristic
366C4×D4×C89—21no—
367C4×D4×C89—21no—
368C4×D4×C89—21no—
369C4×D4×C89—21no—
370C4×D4×C89—21no—
371C4×D4×C89—21no—
372C4×D4×C89—21no—
373C4×D4×C89—21no—
374C4×D4×C89—21no—
375C4×D4×C89—21no—
376C4×D4×C89C2311yescharacteristic
377C4×D4×C89C2311yescharacteristic
378C4×D4×C89C2311yescharacteristic
379C4×D4×C89C2311yescharacteristic
380C4×D4×C89C2311yescharacteristic
381C4×D4×C89C2311yescharacteristic
382C4×D4×C89C2311yescharacteristic
383C4×D4×C89C2311yescharacteristic
384C4×D4×C89C2311yescharacteristic
385#117×C89—21no—
386#117×C89—21no—
387#117×C89—21no—
388#117×C89—21no—
389#117×C89—21no—
390#117×C89—21no—
391#117×C89C2311yescharacteristic
392#117×C89C2311yescharacteristic
393#117×C89C2311yescharacteristic
394#117×C89C2311yescharacteristic
395#117×C89C2311yescharacteristic
396#117×C89C2311yescharacteristic
397C2×C4⋊C4×C89—21no—
398C2×C4⋊C4×C89—21no—
399C2×C4⋊C4×C89C2311yescharacteristic
400C2×C4⋊C4×C89C2311yescharacteristic
401C2×C22⋊C4×C89—21no—
402C2×C22⋊C4×C89—21no—
403C2×C42×C89C2311yescharacteristic
404#107×C89C2311yescharacteristic
405#107×C89C2311yescharacteristic
406#107×C89C2311yescharacteristic
407#107×C89C2311yescharacteristic
408#107×C89C2311yescharacteristic
409#107×C89C2311yescharacteristic
410#106×C89C2311yescharacteristic
411#106×C89C2311yescharacteristic
412#106×C89C2311yescharacteristic
413#106×C89C2311yescharacteristic
414#106×C89C2311yescharacteristic
415#106×C89C2311yescharacteristic
416C4⋊C8×C89C2311yescharacteristic
417C4⋊C8×C89C2311yescharacteristic
418C4⋊C8×C89C2311yescharacteristic
419C4⋊C8×C89C2311yescharacteristic
420C4⋊C8×C89C2311yescharacteristic
421C4⋊C8×C89C2311yescharacteristic
422#103×C89C2311yescharacteristic
423#103×C89C2311yescharacteristic
424#103×C89C2311yescharacteristic
425#103×C89C2311yescharacteristic
426#103×C89C2311yescharacteristic
427#103×C89C2311yescharacteristic
428#103×C89C2311yescharacteristic
429#103×C89C2311yescharacteristic
430#103×C89C2311yescharacteristic
431#103×C89C2311yescharacteristic
432#103×C89C2311yescharacteristic
433#103×C89C2311yescharacteristic
434#103×C89C2311yescharacteristic
435#103×C89C2311yescharacteristic
436#103×C89C2311yescharacteristic
437#103×C89C2311yescharacteristic
438#103×C89C2311yescharacteristic
439#103×C89C2311yescharacteristic
440#103×C89C2311yescharacteristic
441#103×C89C2311yescharacteristic
442#102×C89C2311yescharacteristic
443#102×C89C2311yescharacteristic
444#102×C89C2311yescharacteristic
445#102×C89C2311yescharacteristic
446#102×C89C2311yescharacteristic
447#102×C89C2311yescharacteristic
448#102×C89C2311yescharacteristic
449#102×C89C2311yescharacteristic
450#102×C89C2311yescharacteristic
451#102×C89C2311yescharacteristic
452#102×C89C2311yescharacteristic
453#102×C89C2311yescharacteristic
454#102×C89C2311yescharacteristic
455#102×C89C2311yescharacteristic
456#102×C89C2311yescharacteristic
457#102×C89C2311yescharacteristic
458#102×C89C2311yescharacteristic
459#102×C89C2311yescharacteristic
460#102×C89C2311yescharacteristic
461#102×C89C2311yescharacteristic
462C22⋊C8×C89C2311yescharacteristic
463C22⋊C8×C89C2311yescharacteristic
464C22⋊C8×C89C2311yescharacteristic
465C22⋊C8×C89C2311yescharacteristic
466C22⋊C8×C89C2311yescharacteristic
467C22⋊C8×C89C2311yescharacteristic
468#97×C89C2311yescharacteristic
469#97×C89C2311yescharacteristic
470#97×C89C2311yescharacteristic
471#97×C89C2311yescharacteristic
472C4×C8×C89C2311yescharacteristic
473C4×C8×C89C2311yescharacteristic
474C4×C8×C89C2311yescharacteristic
475C4×C8×C89C2311yescharacteristic
476C4×C8×C89C2311yescharacteristic
477C4×C8×C89C2311yescharacteristic
478C24×C89—21no—
479#41×C89—41no—
480#41×C89—41no—
481#41×C89—41no—
482#41×C89—41no—
483#41×C89—41no—
484#41×C89—41no—
485#41×C89—41no—
486#41×C89—41no—
487C2×Q8×C89—21no—
488C2×Q8×C89—21no—
489C2×Q8×C89—21no—
490C2×Q8×C89—21no—
491C2×Q8×C89—21no—
492C2×Q8×C89—41no—
493C2×Q8×C89—41no—
494C2×Q8×C89C2×D411yescharacteristic
495C2×Q8×C89C2411yescharacteristic
496C2×Q8×C89C2411yescharacteristic
497C2×Q8×C89C2411yescharacteristic
498C2×Q8×C89C2411yescharacteristic
499C2×D4×C89—21no—
500C2×D4×C89—21no—
501C2×D4×C89—21no—
502C2×D4×C89—21no—
503C2×D4×C89—21no—
504C2×D4×C89—21no—
505C2×D4×C89—21no—
506C2×D4×C89—21no—
507C2×D4×C89—21no—
508C2×D4×C89—21no—
509C2×D4×C89—21no—
510C2×D4×C89—21no—
511C2×D4×C89—21no—
512C2×D4×C89—21no—
513C2×D4×C89—21no—
514C2×D4×C89—41no—
515C2×D4×C89—41no—
516C2×D4×C89C2×D411yescharacteristic
517C2×D4×C89C2×D411yescharacteristic
518C2×D4×C89C2×D411yescharacteristic
519C2×D4×C89C2411yescharacteristic
520C2×D4×C89C2411yescharacteristic
521C2×D4×C89C2411yescharacteristic
522C2×D4×C89C2411yescharacteristic
523C22×C4×C89—21no—
524C22×C4×C89—21no—
525C22×C4×C89—21no—
526C22×C4×C89—21no—
527C22×C4×C89—21no—
528C22×C4×C89—21no—
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×C89C2×D411yescharacteristic
537C22×C4×C89C2×D411yescharacteristic
538C22×C4×C89C2411yescharacteristic
539C22×C4×C89C2411yescharacteristic
540C22×C4×C89C2411yescharacteristic
541Q16×C89—41no—
542Q16×C89—41no—
543Q16×C89—41no—
544SD16×C89—41no—
545SD16×C89—41no—
546SD16×C89—41no—
547SD16×C89—41no—
548SD16×C89—41no—
549SD16×C89—41no—
550D8×C89—41no—
551D8×C89—41no—
552D8×C89—41no—
553M16×C89—41no—
554M16×C89—41no—
555C2×C8×C89—41no—
556C2×C8×C89—41no—
557C2×C8×C89—41no—
558C2×C8×C89—41no—
559C2×C8×C89C2411yescharacteristic
560C2×C8×C89C2411yescharacteristic
561C2×C8×C89C2411yescharacteristic
562C2×C8×C89C2411yescharacteristic
563C2×C8×C89C2411yescharacteristic
564C2×C8×C89C2411yescharacteristic
565C2×C8×C89C2411yescharacteristic
566C2×C8×C89C2411yescharacteristic
567C4⋊C4×C89—21no—
568C4⋊C4×C89—21no—
569C4⋊C4×C89—21no—
570C4⋊C4×C89—21no—
571C4⋊C4×C89—21no—
572C4⋊C4×C89—21no—
573C4⋊C4×C89—21no—
574C4⋊C4×C89—21no—
575C4⋊C4×C89—21no—
576C4⋊C4×C89—21no—
577C4⋊C4×C89—21no—
578C4⋊C4×C89—21no—
579C4⋊C4×C89—21no—
580C4⋊C4×C89—21no—
581C4⋊C4×C89—21no—
582C4⋊C4×C89—21no—
583C4⋊C4×C89—21no—
584C4⋊C4×C89—21no—
585C4⋊C4×C89—21no—
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×C89C2×D411yescharacteristic
602C4⋊C4×C89C2×D411yescharacteristic
603C4⋊C4×C89C2×D411yescharacteristic
604C4⋊C4×C89C2×D411yescharacteristic
605C4⋊C4×C89C2×D411yescharacteristic
606C4⋊C4×C89C2×D411yescharacteristic
607C4⋊C4×C89C2×D411yescharacteristic
608C4⋊C4×C89C2×D411yescharacteristic
609C4⋊C4×C89C2×D411yescharacteristic
610C4⋊C4×C89C2×D411yescharacteristic
611C4⋊C4×C89C2411yescharacteristic
612C4⋊C4×C89C2411yescharacteristic
613C4⋊C4×C89C2411yescharacteristic
614C4⋊C4×C89C2411yescharacteristic
615C4⋊C4×C89C2411yescharacteristic
616C4⋊C4×C89C2411yescharacteristic
617C4⋊C4×C89C2411yescharacteristic
618C4⋊C4×C89C2411yescharacteristic
619C22⋊C4×C89—21no—
620C22⋊C4×C89—21no—
621C22⋊C4×C89—21no—
622C22⋊C4×C89—21no—
623C22⋊C4×C89—21no—
624C22⋊C4×C89—21no—
625C22⋊C4×C89—21no—
626C22⋊C4×C89—21no—
627C22⋊C4×C89—21no—
628C22⋊C4×C89—21no—
629C22⋊C4×C89—21no—
630C22⋊C4×C89—21no—
631C22⋊C4×C89—21no—
632C22⋊C4×C89—21no—
633C22⋊C4×C89—21no—
634C22⋊C4×C89—21no—
635C22⋊C4×C89—21no—
636C22⋊C4×C89—21no—
637C22⋊C4×C89—21no—
638C22⋊C4×C89—21no—
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×C89C2×D411yescharacteristic
654C22⋊C4×C89C2×D411yescharacteristic
655C22⋊C4×C89C2×D411yescharacteristic
656C22⋊C4×C89C2×D411yescharacteristic
657C22⋊C4×C89C2×D411yescharacteristic
658C22⋊C4×C89C2×D411yescharacteristic
659C22⋊C4×C89C2×D411yescharacteristic
660C22⋊C4×C89C2×D411yescharacteristic
661C22⋊C4×C89C2×D411yescharacteristic
662C22⋊C4×C89C2×D411yescharacteristic
663C42×C89—21no—
664C42×C89—21no—
665C42×C89—21no—
666C42×C89—21no—
667C42×C89—21no—
668C42×C89—21no—
669C42×C89—21no—
670C42×C89—21no—
671C42×C89—21no—
672C42×C89—21no—
673C42×C89C2×D411yescharacteristic
674C42×C89C2×D411yescharacteristic
675C42×C89C2411yescharacteristic
676C42×C89C2411yescharacteristic
677C42×C89C2411yescharacteristic
678C42×C89C2411yescharacteristic
679C23×C89—21no—
680C23×C89—21no—
681C23×C89—21no—
682C23×C89—21no—
683C23×C89—81no—
684C23×C89—81no—
685C23×C89—81no—
686C23×C89C22×D411yescharacteristic
687C23×C89C22×D411yescharacteristic
688C23×C89C22×D411yescharacteristic
689Q8×C89—21no—
690Q8×C89—21no—
691Q8×C89—21no—
692Q8×C89—21no—
693Q8×C89—21no—
694Q8×C89—21no—
695Q8×C89—21no—
696Q8×C89—21no—
697Q8×C89—41no—
698Q8×C89—81no—
699Q8×C89—81no—
700Q8×C89—81no—
701Q8×C89—81no—
702Q8×C89—81no—
703D4×C89—21no—
704D4×C89—21no—
705D4×C89—21no—
706D4×C89—21no—
707D4×C89—21no—
708D4×C89—21no—
709D4×C89—21no—
710D4×C89—21no—
711D4×C89—41no—
712D4×C89—41no—
713D4×C89—41no—
714D4×C89—81no—
715D4×C89—81no—
716D4×C89—81no—
717D4×C89—81no—
718D4×C89—81no—
719D4×C89—81no—
720D4×C89—81no—
721D4×C89—81no—
722D4×C89—81no—
723D4×C89—81no—
724D4×C89—81no—
725D4×C89—81no—
726D4×C89—81no—
727D4×C89—81no—
728D4×C89—81no—
729C2×C4×C89—21no—
730C2×C4×C89—21no—
731C2×C4×C89—21no—
732C2×C4×C89—21no—
733C2×C4×C89—21no—
734C2×C4×C89—21no—
735C2×C4×C89—21no—
736C2×C4×C89—21no—
737C2×C4×C89—21no—
738C2×C4×C89—21no—
739C2×C4×C89—21no—
740C2×C4×C89—21no—
741C2×C4×C89—21no—
742C2×C4×C89—21no—
743C2×C4×C89—21no—
744C2×C4×C89—21no—
745C2×C4×C89—21no—
746C2×C4×C89—21no—
747C2×C4×C89—41no—
748C2×C4×C89—41no—
749C2×C4×C89—81no—
750C2×C4×C89—81no—
751C2×C4×C89—81no—
752C2×C4×C89—81no—
753C2×C4×C89—81no—
754C2×C4×C89—81no—
755C2×C4×C89—81no—
756C2×C4×C89—81no—
757C2×C4×C89—81no—
758C2×C4×C89—81no—
759C2×C4×C89—81no—
760C2×C4×C89—81no—
761C2×C4×C89—81no—
762C2×C4×C89C22×D411yescharacteristic
763C2×C4×C89C22×D411yescharacteristic
764C2×C4×C89C22×D411yescharacteristic
765C2×C4×C89C22×D411yescharacteristic
766C2×C4×C89C22×D411yescharacteristic
767C2×C4×C89C22×D411yescharacteristic
768C2×C4×C89C22×D411yescharacteristic
769C2×C4×C89C22×D411yescharacteristic
770C2×C4×C89C22×D411yescharacteristic
771C2×C4×C89C22×D411yescharacteristic
772C2×C4×C89C22×D411yescharacteristic
773C2×C4×C89C2511yescharacteristic
774C8×C89—21no—
775C8×C89—21no—
776C8×C89—21no—
777C8×C89—21no—
778C8×C89—21no—
779C8×C89—21no—
780C8×C89—21no—
781C8×C89—21no—
782C22×C89—21no—
783C22×C89—21no—
784C22×C89—21no—
785C22×C89—21no—
786C22×C89—21no—
787C22×C89—21no—
788C22×C89—21no—
789C22×C89—21no—
790C22×C89—21no—
791C22×C89—41no—
792C22×C89—41no—
793C22×C89—41no—
794C22×C89—41no—
795C22×C89—41no—
796C22×C89—41no—
797C22×C89—41no—
798C22×C89—41no—
799C22×C89—41no—
800C22×C89—41no—
801C22×C89—41no—
802C22×C89—41no—
803C22×C89—162no—
804C22×C89C23×D411yescharacteristic
805C4×C89—21no—
806C4×C89—21no—
807C4×C89—21no—
808C4×C89—21no—
809C4×C89—21no—
810C4×C89—21no—
811C4×C89—21no—
812C4×C89—21no—
813C4×C89—21no—
814C4×C89—21no—
815C4×C89—21no—
816C4×C89—41no—
817C4×C89—41no—
818C4×C89—41no—
819C4×C89—41no—
820C4×C89—41no—
821C4×C89—41no—
822C4×C89—41no—
823C4×C89—41no—
824C4×C89—41no—
825C4×C89—41no—
826C4×C89—41no—
827C4×C89—41no—
828C4×C89#58511yescharacteristic
829C4×C89#58511yescharacteristic
830#62554C8911yesmaximal, characteristic, direct product factor, Sylow
831C2×C89—41no—
832C2×C89—41no—
833C2×C89—41no—
834C2×C89—81no—
835C2×C89—81no—
836C2×C89—81no—
837C2×C89—81no—
838C2×C89#350011yescharacteristic
839C2×C89#358411yescharacteristic
840C2×C89#358411yescharacteristic
841#3565C2×C8911yescharacteristic, complemented
842#3562C2×C8911yescharacteristic, complemented
843#3377C2×C8911yescharacteristic, complemented
844#3370C2×C8911yescharacteristic, complemented
845#3365C2×C8911yescharacteristic, complemented
846#3360C2×C8911yescharacteristic, complemented
847#3327C2×C8911yescharacteristic, complemented
848#3322C2×C8911yescharacteristic, complemented
849#3321C2×C8911yescharacteristic, complemented
850#3317C2×C8911yescharacteristic, complemented
851#3311C2×C8911yescharacteristic, complemented
852#3307C2×C8911yescharacteristic, complemented
853#3305C2×C8911yescharacteristic, complemented
854#3302C2×C8911yescharacteristic, complemented
855#3301C2×C8911yescharacteristic, complemented
856#3300C2×C8911yescharacteristic, complemented
857#3297C2×C8911yescharacteristic, complemented
858#3296C2×C8911yescharacteristic, complemented
859#3242C2×C8911yescharacteristic, complemented
860#3241C2×C8911yescharacteristic, complemented
861#3240C2×C8911yescharacteristic, complemented
862#3225C2×C8911yescharacteristic, complemented
863#3224C2×C8911yescharacteristic, complemented
864#3219C2×C8911yescharacteristic, complemented
865#3179C2×C8911yescharacteristic, complemented
866#3178C2×C8911yescharacteristic, complemented
867#3168C2×C8911yescharacteristic, complemented
868#3137C2×C8911yescharacteristic, complemented
869#3136C2×C8911yescharacteristic, complemented
870#3131C2×C8911yescharacteristic, complemented
871#2966C2×C8911yescharacteristic, complemented
872C89#6255411yescharacteristic, direct product factor, Sylow
873#563—21no—
874#562—21no—
875#562—21no—
876#560—21no—
877#559C22×C8911yescharacteristic
878#557C22×C8911yescharacteristic, complemented
879#556—21no—
880#556C22×C8911yescharacteristic
881#556C22×C8911yescharacteristic
882#555C22×C8911yescharacteristic, complemented
883#554C22×C8911yescharacteristic, complemented
884#553—21no—
885#553C22×C8911yescharacteristic
886#553C22×C8911yescharacteristic
887#552—21no—
888#552C22×C8911yescharacteristic
889#552C22×C8911yescharacteristic, complemented
890#551—21no—
891#550C22×C8911yescharacteristic
892#548C22×C8911yescharacteristic
893#548C22×C8911yescharacteristic
894#547C22×C8911yescharacteristic
895#546C22×C8911yescharacteristic
896#546C22×C8911yescharacteristic
897#544C22×C8911yescharacteristic
898#544C22×C8911yescharacteristic, complemented
899#542—21no—
900#542—21no—
901#542C22×C8911yescharacteristic
902#542C22×C8911yescharacteristic, complemented
903#541—21no—
904#541C22×C8911yescharacteristic
905#540—21no—
906#540C22×C8911yescharacteristic
907#539—21no—
908#539—21no—
909#538—21no—
910#538—21no—
911#536C22×C8911yescharacteristic
912#535C22×C8911yescharacteristic
913#533C22×C8911yescharacteristic, complemented
914#532C22×C8911yescharacteristic
915#529C22×C8911yescharacteristic
916#529C22×C8911yescharacteristic
917#529C22×C8911yescharacteristic, complemented
918#501C22×C8911yescharacteristic, complemented
919#501C22×C8911yescharacteristic, complemented
920#499C22×C8911yescharacteristic, complemented
921#497C22×C8911yescharacteristic, complemented
922#496C22×C8911yescharacteristic
923#495C22×C8911yescharacteristic
924#491C22×C8911yescharacteristic, complemented
925#491C22×C8911yescharacteristic, complemented
926#490C22×C8911yescharacteristic
927#490C22×C8911yescharacteristic
928#489C22×C8911yescharacteristic
929#489C22×C8911yescharacteristic
930#489C22×C8911yescharacteristic
931#489C22×C8911yescharacteristic
932#488C22×C8911yescharacteristic
933#488C22×C8911yescharacteristic
934#488C22×C8911yescharacteristic
935#488C22×C8911yescharacteristic
936#488C22×C8911yescharacteristic
937#488C22×C8911yescharacteristic, complemented
938#488C22×C8911yescharacteristic, complemented
939#488C22×C8911yescharacteristic, complemented
940#487C22×C8911yescharacteristic, complemented
941#487C22×C8911yescharacteristic, complemented
942#487C22×C8911yescharacteristic, complemented
943#486C22×C8911yescharacteristic
944#486C22×C8911yescharacteristic
945#486C22×C8911yescharacteristic
946#485C22×C8911yescharacteristic
947#485C22×C8911yescharacteristic
948#485C22×C8911yescharacteristic, complemented
949#485C22×C8911yescharacteristic, complemented
950#484C22×C8911yescharacteristic
951#483C22×C8911yescharacteristic
952#482C22×C8911yescharacteristic
953#482C22×C8911yescharacteristic
954#482C22×C8911yescharacteristic
955#482C22×C8911yescharacteristic, complemented
956#481C22×C8911yescharacteristic, complemented
957#480C22×C8911yescharacteristic
958#479C22×C8911yescharacteristic, complemented
959#479C22×C8911yescharacteristic, complemented
960#479C22×C8911yescharacteristic, complemented
961#479C22×C8911yescharacteristic, complemented
962#478C22×C8911yescharacteristic
963#478C22×C8911yescharacteristic
964#478C22×C8911yescharacteristic
965#478C22×C8911yescharacteristic, complemented
966#477C22×C8911yescharacteristic, complemented
967#476C22×C8911yescharacteristic
968#475C22×C8911yescharacteristic, complemented
969#474C22×C8911yescharacteristic, complemented
970#470C22×C8911yescharacteristic
971#469C22×C8911yescharacteristic
972#468C22×C8911yescharacteristic
973#468C22×C8911yescharacteristic, complemented
974#467C22×C8911yescharacteristic
975#467C22×C8911yescharacteristic, complemented
976#466C22×C8911yescharacteristic
977#466C22×C8911yescharacteristic, complemented
978#465C22×C8911yescharacteristic
979#465C22×C8911yescharacteristic
980#465C22×C8911yescharacteristic
981#465C22×C8911yescharacteristic, complemented
982#464C22×C8911yescharacteristic
983#464C22×C8911yescharacteristic
984#464C22×C8911yescharacteristic
985#464C22×C8911yescharacteristic, complemented
986#463C22×C8911yescharacteristic
987#463C22×C8911yescharacteristic
988#463C22×C8911yescharacteristic
989#463C22×C8911yescharacteristic, complemented
990#462C22×C8911yescharacteristic, complemented
991#461C22×C8911yescharacteristic, complemented
992#460C22×C8911yescharacteristic
993#459C22×C8911yescharacteristic
994#452C22×C8911yescharacteristic
995#452C22×C8911yescharacteristic
996#452C22×C8911yescharacteristic
997#452C22×C8911yescharacteristic, complemented
998#451C22×C8911yescharacteristic, complemented
999#450C22×C8911yescharacteristic
1000#449C22×C8911yescharacteristic
1001#449C22×C8911yescharacteristic
1002#449C22×C8911yescharacteristic
1003#449C22×C8911yescharacteristic, complemented
1004#448C22×C8911yescharacteristic, complemented
1005#447C22×C8911yescharacteristic
1006#446C22×C8911yescharacteristic, complemented
1007C8×Q8C22×C8911yescharacteristic, complemented
1008#442C22×C8911yescharacteristic, complemented
1009#441C22×C8911yescharacteristic, complemented
1010#440C22×C8911yescharacteristic
1011#440C22×C8911yescharacteristic, complemented
1012C4×Q16C22×C8911yescharacteristic, complemented
1013C4×Q16C22×C8911yescharacteristic, complemented
1014C4×SD16C22×C8911yescharacteristic
1015C4×SD16C22×C8911yescharacteristic, complemented
1016C4×SD16C22×C8911yescharacteristic, complemented
1017C4×SD16C22×C8911yescharacteristic, complemented
1018C4×D8C22×C8911yescharacteristic
1019C4×D8C22×C8911yescharacteristic
1020#436C22×C8911yescharacteristic
1021#435C22×C8911yescharacteristic
1022#435C22×C8911yescharacteristic, complemented
1023C8×D4C22×C8911yescharacteristic
1024C8×D4C22×C8911yescharacteristic
1025C8×D4C22×C8911yescharacteristic, complemented
1026#433C22×C8911yescharacteristic
1027#433C22×C8911yescharacteristic, complemented
1028#432C22×C8911yescharacteristic, complemented
1029#419C22×C8911yescharacteristic, complemented
1030#418C22×C8911yescharacteristic
1031#417C22×C8911yescharacteristic
1032#417C22×C8911yescharacteristic
1033#416C22×C8911yescharacteristic
1034#416C22×C8911yescharacteristic
1035#416C22×C8911yescharacteristic
1036#416C22×C8911yescharacteristic
1037#416C22×C8911yescharacteristic, complemented
1038#416C22×C8911yescharacteristic, complemented
1039C2×#103C22×C8911yescharacteristic, complemented
1040C2×#102C22×C8911yescharacteristic
1041#405C22×C8911yescharacteristic
1042#405C22×C8911yescharacteristic, complemented
1043C2×C4×C8C22×C8911yescharacteristic, complemented
1044C2×#41C23×C8911yescharacteristic
1045C2×#41C23×C8911yescharacteristic
1046C2×#41C23×C8911yescharacteristic
1047C2×#41C23×C8911yescharacteristic
1048C22×Q8C23×C8911yescharacteristic
1049C22×D4C23×C8911yescharacteristic
1050C2×Q16C23×C8911yescharacteristic
1051C2×Q16C23×C8911yescharacteristic
1052C2×Q16C23×C8911yescharacteristic
1053C2×SD16C23×C8911yescharacteristic
1054C2×SD16C23×C8911yescharacteristic
1055C2×SD16C23×C8911yescharacteristic
1056C2×SD16C23×C8911yescharacteristic
1057C2×SD16C23×C8911yescharacteristic
1058C2×SD16C23×C8911yescharacteristic
1059C2×D8C23×C8911yescharacteristic
1060C2×D8C23×C8911yescharacteristic
1061C2×D8C23×C8911yescharacteristic
1062C2×M16C23×C8911yescharacteristic
1063C2×M16C23×C8911yescharacteristic
1064C22×C8C23×C8911yescharacteristic
1065C22×C8C23×C8911yescharacteristic
1066C22×C8C23×C8911yescharacteristic
1067C22×C8C23×C8911yescharacteristic
1068C4⋊Q8—21no—
1069C4⋊Q8—21no—
1070C4⋊Q8—21no—
1071C4⋊Q8C23×C8911yescharacteristic
1072C4⋊Q8C23×C8911yescharacteristic
1073C4⋊Q8C23×C8911yescharacteristic
1074C4⋊Q8C23×C8911yescharacteristic
1075C4⋊Q8C23×C8911yescharacteristic
1076C4⋊Q8C23×C8911yescharacteristic
1077#127—21no—
1078#127C23×C8911yescharacteristic
1079#127C23×C8911yescharacteristic
1080#126—21no—
1081#126—21no—
1082#126—21no—
1083#126—21no—
1084#126—21no—
1085#126—21no—
1086#126—21no—
1087#126—21no—
1088#126—21no—
1089#126—21no—
1090#126—21no—
1091#126—21no—
1092#126—21no—
1093#126—21no—
1094#126D4×C8911yescharacteristic
1095#126D4×C8911yescharacteristic
1096#125—21no—
1097#125—21no—
1098#125—21no—
1099#125—21no—
1100#125—21no—
1101#125—21no—
1102#125—21no—
1103#125—21no—
1104#125D4×C8911yescharacteristic
1105#125C23×C8911yescharacteristic
1106#125C23×C8911yescharacteristic
1107#125C23×C8911yescharacteristic
1108#125C23×C8911yescharacteristic
1109#125C23×C8911yescharacteristic
1110#125C23×C8911yescharacteristic
1111#124—21no—
1112#124—21no—
1113#124—21no—
1114#124—21no—
1115#124—21no—
1116#124—21no—
1117#124—21no—
1118#124—21no—
1119#124D4×C8911yescharacteristic
1120#124C23×C8911yescharacteristic
1121#124C23×C8911yescharacteristic
1122#124C23×C8911yescharacteristic
1123#124C23×C8911yescharacteristic
1124#124C23×C8911yescharacteristic
1125#124C23×C8911yescharacteristic
1126#123—21no—
1127#123—21no—
1128#123—21no—
1129#123—21no—
1130#123—21no—
1131#123—21no—
1132#123—21no—
1133#123—21no—
1134#123—21no—
1135#123—21no—
1136#123—21no—
1137#123—21no—
1138#123—21no—
1139#123—21no—
1140#123—21no—
1141#123—21no—
1142#123—21no—
1143#123—21no—
1144#123D4×C8911yescharacteristic
1145#123D4×C8911yescharacteristic
1146C22⋊Q8—21no—
1147C22⋊Q8—21no—
1148C22⋊Q8—21no—
1149C22⋊Q8—21no—
1150C22⋊Q8—21no—
1151C22⋊Q8—21no—
1152C22⋊Q8—21no—
1153C22⋊Q8—21no—
1154C22⋊Q8—21no—
1155C22⋊Q8—21no—
1156C22⋊Q8—21no—
1157C22⋊Q8—21no—
1158C22⋊Q8—21no—
1159C22⋊Q8—21no—
1160C22⋊Q8—21no—
1161C22⋊Q8—21no—
1162C22⋊Q8D4×C8911yescharacteristic
1163C22⋊Q8C23×C8911yescharacteristic
1164C22⋊Q8C23×C8911yescharacteristic
1165C22⋊Q8C23×C8911yescharacteristic
1166C22⋊Q8C23×C8911yescharacteristic
1167C22⋊Q8C23×C8911yescharacteristic
1168C22⋊Q8C23×C8911yescharacteristic
1169#121—21no—
1170#121—21no—
1171#121—21no—
1172#121—21no—
1173#121—21no—
1174#121—21no—
1175#121—21no—
1176#121—21no—
1177#121—21no—
1178#121—21no—
1179#121—21no—
1180#121—21no—
1181#121—21no—
1182#121—21no—
1183#121—21no—
1184#121—21no—
1185#121D4×C8911yescharacteristic
1186#121C23×C8911yescharacteristic
1187#121C23×C8911yescharacteristic
1188#121C23×C8911yescharacteristic
1189#121C23×C8911yescharacteristic
1190#121C23×C8911yescharacteristic
1191#121C23×C8911yescharacteristic
1192#120—21no—
1193#120—21no—
1194#120—21no—
1195#120—21no—
1196C4×Q8—21no—
1197C4×Q8—21no—
1198C4×Q8—21no—
1199C4×Q8—21no—
1200C4×Q8C23×C8911yescharacteristic
1201C4×Q8C23×C8911yescharacteristic
1202C4×Q8C23×C8911yescharacteristic
1203C4×Q8C23×C8911yescharacteristic
1204C4×Q8C23×C8911yescharacteristic
1205C4×Q8C23×C8911yescharacteristic
1206C4×Q8C23×C8911yescharacteristic
1207C4×D4—21no—
1208C4×D4—21no—
1209C4×D4—21no—
1210C4×D4—21no—
1211C4×D4—21no—
1212C4×D4—21no—
1213C4×D4—21no—
1214C4×D4—21no—
1215C4×D4—21no—
1216C4×D4—21no—
1217C4×D4C23×C8911yescharacteristic
1218C4×D4C23×C8911yescharacteristic
1219C4×D4C23×C8911yescharacteristic
1220C4×D4C23×C8911yescharacteristic
1221C4×D4C23×C8911yescharacteristic
1222C4×D4C23×C8911yescharacteristic
1223C4×D4C23×C8911yescharacteristic
1224C4×D4C23×C8911yescharacteristic
1225C4×D4C23×C8911yescharacteristic
1226#117—21no—
1227#117—21no—
1228#117—21no—
1229#117—21no—
1230#117—21no—
1231#117—21no—
1232#117C23×C8911yescharacteristic
1233#117C23×C8911yescharacteristic
1234#117C23×C8911yescharacteristic
1235#117C23×C8911yescharacteristic
1236#117C23×C8911yescharacteristic
1237#117C23×C8911yescharacteristic
1238C2×C4⋊C4—21no—
1239C2×C4⋊C4—21no—
1240C2×C4⋊C4C23×C8911yescharacteristic
1241C2×C4⋊C4C23×C8911yescharacteristic
1242C2×C22⋊C4—21no—
1243C2×C22⋊C4—21no—
1244C2×C42C23×C8911yescharacteristic
1245#107C23×C8911yescharacteristic
1246#107C23×C8911yescharacteristic
1247#107C23×C8911yescharacteristic
1248#107C23×C8911yescharacteristic
1249#107C23×C8911yescharacteristic
1250#107C23×C8911yescharacteristic
1251#106C23×C8911yescharacteristic
1252#106C23×C8911yescharacteristic
1253#106C23×C8911yescharacteristic
1254#106C23×C8911yescharacteristic
1255#106C23×C8911yescharacteristic
1256#106C23×C8911yescharacteristic
1257C4⋊C8C23×C8911yescharacteristic
1258C4⋊C8C23×C8911yescharacteristic
1259C4⋊C8C23×C8911yescharacteristic
1260C4⋊C8C23×C8911yescharacteristic
1261C4⋊C8C23×C8911yescharacteristic
1262C4⋊C8C23×C8911yescharacteristic
1263#103C23×C8911yescharacteristic
1264#103C23×C8911yescharacteristic
1265#103C23×C8911yescharacteristic
1266#103C23×C8911yescharacteristic
1267#103C23×C8911yescharacteristic
1268#103C23×C8911yescharacteristic
1269#103C23×C8911yescharacteristic
1270#103C23×C8911yescharacteristic
1271#103C23×C8911yescharacteristic
1272#103C23×C8911yescharacteristic
1273#103C23×C8911yescharacteristic
1274#103C23×C8911yescharacteristic
1275#103C23×C8911yescharacteristic
1276#103C23×C8911yescharacteristic
1277#103C23×C8911yescharacteristic
1278#103C23×C8911yescharacteristic
1279#103C23×C8911yescharacteristic
1280#103C23×C8911yescharacteristic
1281#103C23×C8911yescharacteristic
1282#103C23×C8911yescharacteristic
1283#102C23×C8911yescharacteristic
1284#102C23×C8911yescharacteristic
1285#102C23×C8911yescharacteristic
1286#102C23×C8911yescharacteristic
1287#102C23×C8911yescharacteristic
1288#102C23×C8911yescharacteristic
1289#102C23×C8911yescharacteristic
1290#102C23×C8911yescharacteristic
1291#102C23×C8911yescharacteristic
1292#102C23×C8911yescharacteristic
1293#102C23×C8911yescharacteristic
1294#102C23×C8911yescharacteristic
1295#102C23×C8911yescharacteristic
1296#102C23×C8911yescharacteristic
1297#102C23×C8911yescharacteristic
1298#102C23×C8911yescharacteristic
1299#102C23×C8911yescharacteristic
1300#102C23×C8911yescharacteristic
1301#102C23×C8911yescharacteristic
1302#102C23×C8911yescharacteristic
1303C22⋊C8C23×C8911yescharacteristic
1304C22⋊C8C23×C8911yescharacteristic
1305C22⋊C8C23×C8911yescharacteristic
1306C22⋊C8C23×C8911yescharacteristic
1307C22⋊C8C23×C8911yescharacteristic
1308C22⋊C8C23×C8911yescharacteristic
1309#97C23×C8911yescharacteristic
1310#97C23×C8911yescharacteristic
1311#97C23×C8911yescharacteristic
1312#97C23×C8911yescharacteristic
1313C4×C8C23×C8911yescharacteristic
1314C4×C8C23×C8911yescharacteristic
1315C4×C8C23×C8911yescharacteristic
1316C4×C8C23×C8911yescharacteristic
1317C4×C8C23×C8911yescharacteristic
1318C4×C8C23×C8911yescharacteristic
1319C24—21no—
1320#41—41no—
1321#41—41no—
1322#41—41no—
1323#41—41no—
1324#41—41no—
1325#41—41no—
1326#41—41no—
1327#41—41no—
1328C2×Q8—21no—
1329C2×Q8—21no—
1330C2×Q8—21no—
1331C2×Q8—21no—
1332C2×Q8—21no—
1333C2×Q8—41no—
1334C2×Q8—41no—
1335C2×Q8C2×D4×C8911yescharacteristic
1336C2×Q8C24×C8911yescharacteristic
1337C2×Q8C24×C8911yescharacteristic
1338C2×Q8C24×C8911yescharacteristic
1339C2×Q8C24×C8911yescharacteristic
1340C2×D4—21no—
1341C2×D4—21no—
1342C2×D4—21no—
1343C2×D4—21no—
1344C2×D4—21no—
1345C2×D4—21no—
1346C2×D4—21no—
1347C2×D4—21no—
1348C2×D4—21no—
1349C2×D4—21no—
1350C2×D4—21no—
1351C2×D4—21no—
1352C2×D4—21no—
1353C2×D4—21no—
1354C2×D4—21no—
1355C2×D4—41no—
1356C2×D4—41no—
1357C2×D4C2×D4×C8911yescharacteristic
1358C2×D4C2×D4×C8911yescharacteristic
1359C2×D4C2×D4×C8911yescharacteristic
1360C2×D4C24×C8911yescharacteristic
1361C2×D4C24×C8911yescharacteristic
1362C2×D4C24×C8911yescharacteristic
1363C2×D4C24×C8911yescharacteristic
1364C22×C4—21no—
1365C22×C4—21no—
1366C22×C4—21no—
1367C22×C4—21no—
1368C22×C4—21no—
1369C22×C4—21no—
1370C22×C4—21no—
1371C22×C4—21no—
1372C22×C4—21no—
1373C22×C4—21no—
1374C22×C4—21no—
1375C22×C4—21no—
1376C22×C4—21no—
1377C22×C4C2×D4×C8911yescharacteristic
1378C22×C4C2×D4×C8911yescharacteristic
1379C22×C4C24×C8911yescharacteristic
1380C22×C4C24×C8911yescharacteristic
1381C22×C4C24×C8911yescharacteristic
1382Q16—41no—
1383Q16—41no—
1384Q16—41no—
1385SD16—41no—
1386SD16—41no—
1387SD16—41no—
1388SD16—41no—
1389SD16—41no—
1390SD16—41no—
1391D8—41no—
1392D8—41no—
1393D8—41no—
1394M16—41no—
1395M16—41no—
1396C2×C8—41no—
1397C2×C8—41no—
1398C2×C8—41no—
1399C2×C8—41no—
1400C2×C8C24×C8911yescharacteristic
1401C2×C8C24×C8911yescharacteristic
1402C2×C8C24×C8911yescharacteristic
1403C2×C8C24×C8911yescharacteristic
1404C2×C8C24×C8911yescharacteristic
1405C2×C8C24×C8911yescharacteristic
1406C2×C8C24×C8911yescharacteristic
1407C2×C8C24×C8911yescharacteristic
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—21no—
1415C4⋊C4—21no—
1416C4⋊C4—21no—
1417C4⋊C4—21no—
1418C4⋊C4—21no—
1419C4⋊C4—21no—
1420C4⋊C4—21no—
1421C4⋊C4—21no—
1422C4⋊C4—21no—
1423C4⋊C4—21no—
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—21no—
1428C4⋊C4—21no—
1429C4⋊C4—21no—
1430C4⋊C4—21no—
1431C4⋊C4—21no—
1432C4⋊C4—21no—
1433C4⋊C4—21no—
1434C4⋊C4—21no—
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—21no—
1441C4⋊C4—21no—
1442C4⋊C4C2×D4×C8911yescharacteristic
1443C4⋊C4C2×D4×C8911yescharacteristic
1444C4⋊C4C2×D4×C8911yescharacteristic
1445C4⋊C4C2×D4×C8911yescharacteristic
1446C4⋊C4C2×D4×C8911yescharacteristic
1447C4⋊C4C2×D4×C8911yescharacteristic
1448C4⋊C4C2×D4×C8911yescharacteristic
1449C4⋊C4C2×D4×C8911yescharacteristic
1450C4⋊C4C2×D4×C8911yescharacteristic
1451C4⋊C4C2×D4×C8911yescharacteristic
1452C4⋊C4C24×C8911yescharacteristic
1453C4⋊C4C24×C8911yescharacteristic
1454C4⋊C4C24×C8911yescharacteristic
1455C4⋊C4C24×C8911yescharacteristic
1456C4⋊C4C24×C8911yescharacteristic
1457C4⋊C4C24×C8911yescharacteristic
1458C4⋊C4C24×C8911yescharacteristic
1459C4⋊C4C24×C8911yescharacteristic
1460C22⋊C4—21no—
1461C22⋊C4—21no—
1462C22⋊C4—21no—
1463C22⋊C4—21no—
1464C22⋊C4—21no—
1465C22⋊C4—21no—
1466C22⋊C4—21no—
1467C22⋊C4—21no—
1468C22⋊C4—21no—
1469C22⋊C4—21no—
1470C22⋊C4—21no—
1471C22⋊C4—21no—
1472C22⋊C4—21no—
1473C22⋊C4—21no—
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—21no—
1477C22⋊C4—21no—
1478C22⋊C4—21no—
1479C22⋊C4—21no—
1480C22⋊C4—21no—
1481C22⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—21no—
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—21no—
1489C22⋊C4—21no—
1490C22⋊C4—21no—
1491C22⋊C4—21no—
1492C22⋊C4—21no—
1493C22⋊C4—21no—
1494C22⋊C4C2×D4×C8911yescharacteristic
1495C22⋊C4C2×D4×C8911yescharacteristic
1496C22⋊C4C2×D4×C8911yescharacteristic
1497C22⋊C4C2×D4×C8911yescharacteristic
1498C22⋊C4C2×D4×C8911yescharacteristic
1499C22⋊C4C2×D4×C8911yescharacteristic
1500C22⋊C4C2×D4×C8911yescharacteristic
1501C22⋊C4C2×D4×C8911yescharacteristic
1502C22⋊C4C2×D4×C8911yescharacteristic
1503C22⋊C4C2×D4×C8911yescharacteristic
1504C42—21no—
1505C42—21no—
1506C42—21no—
1507C42—21no—
1508C42—21no—
1509C42—21no—
1510C42—21no—
1511C42—21no—
1512C42—21no—
1513C42—21no—
1514C42C2×D4×C8911yescharacteristic
1515C42C2×D4×C8911yescharacteristic
1516C42C24×C8911yescharacteristic
1517C42C24×C8911yescharacteristic
1518C42C24×C8911yescharacteristic
1519C42C24×C8911yescharacteristic
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—81no—
1525C23—81no—
1526C23—81no—
1527C23C22×D4×C8911yescharacteristic
1528C23C22×D4×C8911yescharacteristic
1529C23C22×D4×C8911yescharacteristic
1530Q8—21no—
1531Q8—21no—
1532Q8—21no—
1533Q8—21no—
1534Q8—21no—
1535Q8—21no—
1536Q8—21no—
1537Q8—21no—
1538Q8—41no—
1539Q8—81no—
1540Q8—81no—
1541Q8—81no—
1542Q8—81no—
1543Q8—81no—
1544D4—21no—
1545D4—21no—
1546D4—21no—
1547D4—21no—
1548D4—21no—
1549D4—21no—
1550D4—21no—
1551D4—21no—
1552D4—41no—
1553D4—41no—
1554D4—41no—
1555D4—81no—
1556D4—81no—
1557D4—81no—
1558D4—81no—
1559D4—81no—
1560D4—81no—
1561D4—81no—
1562D4—81no—
1563D4—81no—
1564D4—81no—
1565D4—81no—
1566D4—81no—
1567D4—81no—
1568D4—81no—
1569D4—81no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—41no—
1589C2×C4—41no—
1590C2×C4—81no—
1591C2×C4—81no—
1592C2×C4—81no—
1593C2×C4—81no—
1594C2×C4—81no—
1595C2×C4—81no—
1596C2×C4—81no—
1597C2×C4—81no—
1598C2×C4—81no—
1599C2×C4—81no—
1600C2×C4—81no—
1601C2×C4—81no—
1602C2×C4—81no—
1603C2×C4C22×D4×C8911yescharacteristic
1604C2×C4C22×D4×C8911yescharacteristic
1605C2×C4C22×D4×C8911yescharacteristic
1606C2×C4C22×D4×C8911yescharacteristic
1607C2×C4C22×D4×C8911yescharacteristic
1608C2×C4C22×D4×C8911yescharacteristic
1609C2×C4C22×D4×C8911yescharacteristic
1610C2×C4C22×D4×C8911yescharacteristic
1611C2×C4C22×D4×C8911yescharacteristic
1612C2×C4C22×D4×C8911yescharacteristic
1613C2×C4C22×D4×C8911yescharacteristic
1614C2×C4C25×C8911yescharacteristic
1615C8—21no—
1616C8—21no—
1617C8—21no—
1618C8—21no—
1619C8—21no—
1620C8—21no—
1621C8—21no—
1622C8—21no—
1623C22—21no—
1624C22—21no—
1625C22—21no—
1626C22—21no—
1627C22—21no—
1628C22—21no—
1629C22—21no—
1630C22—21no—
1631C22—21no—
1632C22—41no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—162no—
1645C22C23×D4×C8911yescharacteristic
1646C4—21no—
1647C4—21no—
1648C4—21no—
1649C4—21no—
1650C4—21no—
1651C4—21no—
1652C4—21no—
1653C4—21no—
1654C4—21no—
1655C4—21no—
1656C4—21no—
1657C4—41no—
1658C4—41no—
1659C4—41no—
1660C4—41no—
1661C4—41no—
1662C4—41no—
1663C4—41no—
1664C4—41no—
1665C4—41no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4#585×C8911yescharacteristic
1670C4#585×C8911yescharacteristic
1671C2—41no—
1672C2—41no—
1673C2—41no—
1674C2—81no—
1675C2—81no—
1676C2—81no—
1677C2—81no—
1678C2C89×#350011yescharacteristic
1679C2C89×#358411yescharacteristic
1680C2C89×#358411yescharacteristic
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×#3565C2semidirect
2. C89×#3562C2semidirect
3. C89×#3377C2semidirect
4. C89×#3370C2semidirect
5. C89×#3365C2semidirect
6. C89×#3360C2semidirect
7. C89×#3327C2semidirect
8. C89×#3322C2semidirect
9. C89×#3321C2semidirect
10. C89×#3317C2semidirect
11. C89×#3311C2semidirect
12. C89×#3307C2semidirect
13. C89×#3305C2semidirect
14. C89×#3302C2semidirect
15. C89×#3301C2semidirect
16. C89×#3300C2semidirect
17. C89×#3297C2semidirect
18. C89×#3296C2semidirect
19. C89×#3242C2semidirect
20. C89×#3241C2semidirect
21. C89×#3240C2semidirect
22. C89×#3225C2semidirect
23. C89×#3224C2semidirect
24. C89×#3219C2semidirect
25. C89×#3179C2semidirect
26. C89×#3178C2semidirect
27. C89×#3168C2semidirect
28. C89×#3137C2semidirect
29. C89×#3136C2semidirect
30. C89×#3131C2semidirect
31. C89×#2966C2semidirect
37. #557×C89C22semidirect
41. #555×C89C22semidirect
42. #554×C89C22semidirect
48. #552×C89C22semidirect
57. #544×C89C22semidirect
61. #542×C89C22semidirect
72. #533×C89C22semidirect
76. #529×C89C22semidirect
77. #501×C89C22semidirect
78. #501×C89C22semidirect
79. #499×C89C22semidirect
80. #497×C89C22semidirect
83. #491×C89C22semidirect
84. #491×C89C22semidirect
96. #488×C89C22semidirect
97. #488×C89C22semidirect
98. #488×C89C22semidirect
99. #487×C89C22semidirect
100. #487×C89C22semidirect
101. #487×C89C22semidirect
107. #485×C89C22semidirect
108. #485×C89C22semidirect
114. #482×C89C22semidirect
115. #481×C89C22semidirect
117. #479×C89C22semidirect
118. #479×C89C22semidirect
119. #479×C89C22semidirect
120. #479×C89C22semidirect
124. #478×C89C22semidirect
125. #477×C89C22semidirect
127. #475×C89C22semidirect
128. #474×C89C22semidirect
132. #468×C89C22semidirect
134. #467×C89C22semidirect
136. #466×C89C22semidirect
140. #465×C89C22semidirect
144. #464×C89C22semidirect
148. #463×C89C22semidirect
149. #462×C89C22semidirect
150. #461×C89C22semidirect
156. #452×C89C22semidirect
157. #451×C89C22semidirect
162. #449×C89C22semidirect
163. #448×C89C22semidirect
165. #446×C89C22semidirect
166. C8×Q8×C89C22semidirect
167. #442×C89C22semidirect
168. #441×C89C22semidirect
170. #440×C89C22semidirect
171. C4×Q16×C89C22semidirect
172. C4×Q16×C89C22semidirect
174. C4×SD16×C89C22semidirect
175. C4×SD16×C89C22semidirect
176. C4×SD16×C89C22semidirect
181. #435×C89C22semidirect
184. C8×D4×C89C22semidirect
186. #433×C89C22semidirect
187. #432×C89C22semidirect
188. #419×C89C22semidirect
196. #416×C89C22semidirect
197. #416×C89C22semidirect
198. C2×#103×C89C22semidirect
201. #405×C89C22semidirect
202. C2×C4×C8×C89C22semidirect
830. #62554C89direct (N × H)
841. #3565C2×C89semidirect
842. #3562C2×C89semidirect
843. #3377C2×C89semidirect
844. #3370C2×C89semidirect
845. #3365C2×C89semidirect
846. #3360C2×C89semidirect
847. #3327C2×C89semidirect
848. #3322C2×C89semidirect
849. #3321C2×C89semidirect
850. #3317C2×C89semidirect
851. #3311C2×C89semidirect
852. #3307C2×C89semidirect
853. #3305C2×C89semidirect
854. #3302C2×C89semidirect
855. #3301C2×C89semidirect
856. #3300C2×C89semidirect
857. #3297C2×C89semidirect
858. #3296C2×C89semidirect
859. #3242C2×C89semidirect
860. #3241C2×C89semidirect
861. #3240C2×C89semidirect
862. #3225C2×C89semidirect
863. #3224C2×C89semidirect
864. #3219C2×C89semidirect
865. #3179C2×C89semidirect
866. #3178C2×C89semidirect
867. #3168C2×C89semidirect
868. #3137C2×C89semidirect
869. #3136C2×C89semidirect
870. #3131C2×C89semidirect
871. #2966C2×C89semidirect
872. C89#62554direct (N × H)
878. #557C22×C89semidirect
882. #555C22×C89semidirect
883. #554C22×C89semidirect
889. #552C22×C89semidirect
898. #544C22×C89semidirect
902. #542C22×C89semidirect
913. #533C22×C89semidirect
917. #529C22×C89semidirect
918. #501C22×C89semidirect
919. #501C22×C89semidirect
920. #499C22×C89semidirect
921. #497C22×C89semidirect
924. #491C22×C89semidirect
925. #491C22×C89semidirect
937. #488C22×C89semidirect
938. #488C22×C89semidirect
939. #488C22×C89semidirect
940. #487C22×C89semidirect
941. #487C22×C89semidirect
942. #487C22×C89semidirect
948. #485C22×C89semidirect
949. #485C22×C89semidirect
955. #482C22×C89semidirect
956. #481C22×C89semidirect
958. #479C22×C89semidirect
959. #479C22×C89semidirect
960. #479C22×C89semidirect
961. #479C22×C89semidirect
965. #478C22×C89semidirect
966. #477C22×C89semidirect
968. #475C22×C89semidirect
969. #474C22×C89semidirect
973. #468C22×C89semidirect
975. #467C22×C89semidirect
977. #466C22×C89semidirect
981. #465C22×C89semidirect
985. #464C22×C89semidirect
989. #463C22×C89semidirect
990. #462C22×C89semidirect
991. #461C22×C89semidirect
997. #452C22×C89semidirect
998. #451C22×C89semidirect
1003. #449C22×C89semidirect
1004. #448C22×C89semidirect
1006. #446C22×C89semidirect
1007. C8×Q8C22×C89semidirect
1008. #442C22×C89semidirect
1009. #441C22×C89semidirect
1011. #440C22×C89semidirect
1012. C4×Q16C22×C89semidirect
1013. C4×Q16C22×C89semidirect
1015. C4×SD16C22×C89semidirect
1016. C4×SD16C22×C89semidirect
1017. C4×SD16C22×C89semidirect
1022. #435C22×C89semidirect
1025. C8×D4C22×C89semidirect
1027. #433C22×C89semidirect
1028. #432C22×C89semidirect
1029. #419C22×C89semidirect
1037. #416C22×C89semidirect
1038. #416C22×C89semidirect
1039. C2×#103C22×C89semidirect
1042. #405C22×C89semidirect
1043. C2×C4×C8C22×C89semidirect

Maximal subgroups

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

subgroupindex
C89×#35652
C89×#35622
C89×#33772
C89×#33702
C89×#33652
C89×#33602
C89×#33272
C89×#33222
C89×#33212
C89×#33172
C89×#33112
C89×#33072
C89×#33052
C89×#33022
C89×#33012
C89×#33002
C89×#32972
C89×#32962
C89×#32422
C89×#32412
C89×#32402
C89×#32252
C89×#32242
C89×#32192
C89×#31792
C89×#31782
C89×#31682
C89×#31372
C89×#31362
C89×#31312
C89×#29662
#6255489