Finite Group Databasebeta

← C89×#62615 #36440463

Subgroups — C89×#62615 #36440463

Order 22784.

1670 conjugacy classes of subgroups.

The subgroup lattice has 1666 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C89×#3565C211yesmaximal, characteristic, complemented
2C89×#3561C211yesmaximal, characteristic, complemented
3C89×#3377C211yesmaximal, characteristic, complemented
4C89×#3376C211yesmaximal, characteristic, complemented
5C89×#3364C211yesmaximal, characteristic, complemented
6C89×#3360C211yesmaximal, characteristic, complemented
7C89×#3329C211yesmaximal, characteristic, complemented
8C89×#3328C211yesmaximal, characteristic, complemented
9C89×#3327C211yesmaximal, characteristic, complemented
10C89×#3326C211yesmaximal, characteristic, complemented
11C89×#3323C211yesmaximal, characteristic, complemented
12C89×#3322C211yesmaximal, characteristic, complemented
13C89×#3320C211yesmaximal, characteristic, complemented
14C89×#3319C211yesmaximal, characteristic, complemented
15C89×#3312C211yesmaximal, characteristic, complemented
16C89×#3311C211yesmaximal, characteristic, complemented
17C89×#3301C211yesmaximal, characteristic, complemented
18C89×#3300C211yesmaximal, characteristic, complemented
19C89×#3244C211yesmaximal, characteristic, complemented
20C89×#3243C211yesmaximal, characteristic, complemented
21C89×#3231C211yesmaximal, characteristic, complemented
22C89×#3225C211yesmaximal, characteristic, complemented
23C89×#3225C211yesmaximal, characteristic, complemented
24C89×#3211C211yesmaximal, characteristic, complemented
25C89×#3175C211yesmaximal, characteristic, complemented
26C89×#3173C211yesmaximal, characteristic, complemented
27C89×#3172C211yesmaximal, characteristic, complemented
28C89×#3140C211yesmaximal, characteristic, complemented
29C89×#3137C211yesmaximal, characteristic, complemented
30C89×#3137C211yesmaximal, characteristic, complemented
31C89×#2969C211yesmaximal, characteristic, complemented
32#563×C89—21no—
33#563×C89—21no—
34#562×C89—21no—
35#562×C89—21no—
36#557×C89C2211yescharacteristic, complemented
37#556×C89—21no—
38#556×C89C2211yescharacteristic
39#556×C89C2211yescharacteristic
40#556×C89C2211yescharacteristic
41#555×C89C2211yescharacteristic
42#554×C89C2211yescharacteristic, complemented
43#553×C89C2211yescharacteristic
44#553×C89C2211yescharacteristic, complemented
45#552×C89—21no—
46#552×C89C2211yescharacteristic
47#552×C89C2211yescharacteristic, complemented
48#551×C89—21no—
49#551×C89—21no—
50D4×Q8×C89C2211yescharacteristic
51D4×Q8×C89C2211yescharacteristic
52#548×C89C2211yescharacteristic
53#548×C89C2211yescharacteristic
54#546×C89C2211yescharacteristic
55#546×C89C2211yescharacteristic
56#544×C89C2211yescharacteristic, complemented
57#544×C89C2211yescharacteristic, complemented
58#543×C89—21no—
59#542×C89—21no—
60#542×C89—21no—
61#542×C89—21no—
62#542×C89—21no—
63#542×C89C2211yescharacteristic
64#542×C89C2211yescharacteristic
65#542×C89C2211yescharacteristic, complemented
66#542×C89C2211yescharacteristic, complemented
67#541×C89—21no—
68#539×C89—21no—
69#538×C89—21no—
70#536×C89C2211yescharacteristic
71#536×C89C2211yescharacteristic
72#533×C89C2211yescharacteristic
73#533×C89C2211yescharacteristic
74#529×C89C2211yescharacteristic
75#529×C89C2211yescharacteristic
76C2×#124×C89C2211yescharacteristic
77#501×C89C2211yescharacteristic, complemented
78#500×C89C2211yescharacteristic, complemented
79#498×C89C2211yescharacteristic, complemented
80#497×C89C2211yescharacteristic, complemented
81#495×C89C2211yescharacteristic
82#495×C89C2211yescharacteristic
83#491×C89C2211yescharacteristic, complemented
84#491×C89C2211yescharacteristic, complemented
85#491×C89C2211yescharacteristic, complemented
86#489×C89C2211yescharacteristic
87#489×C89C2211yescharacteristic
88#489×C89C2211yescharacteristic
89#489×C89C2211yescharacteristic
90#489×C89C2211yescharacteristic
91#489×C89C2211yescharacteristic
92#489×C89C2211yescharacteristic, complemented
93#488×C89C2211yescharacteristic
94#488×C89C2211yescharacteristic
95#488×C89C2211yescharacteristic
96#488×C89C2211yescharacteristic
97#488×C89C2211yescharacteristic
98#488×C89C2211yescharacteristic
99#488×C89C2211yescharacteristic
100#488×C89C2211yescharacteristic
101#487×C89C2211yescharacteristic, complemented
102#487×C89C2211yescharacteristic, complemented
103#487×C89C2211yescharacteristic, complemented
104#487×C89C2211yescharacteristic, complemented
105#485×C89C2211yescharacteristic
106#485×C89C2211yescharacteristic
107#485×C89C2211yescharacteristic
108#485×C89C2211yescharacteristic
109#485×C89C2211yescharacteristic, complemented
110#485×C89C2211yescharacteristic, complemented
111#484×C89C2211yescharacteristic, complemented
112#483×C89C2211yescharacteristic, complemented
113#482×C89C2211yescharacteristic
114#482×C89C2211yescharacteristic
115#481×C89C2211yescharacteristic
116#480×C89C2211yescharacteristic
117#479×C89C2211yescharacteristic, complemented
118#479×C89C2211yescharacteristic, complemented
119#479×C89C2211yescharacteristic, complemented
120#479×C89C2211yescharacteristic, complemented
121#479×C89C2211yescharacteristic, complemented
122#479×C89C2211yescharacteristic, complemented
123#478×C89C2211yescharacteristic
124#478×C89C2211yescharacteristic
125#477×C89C2211yescharacteristic, complemented
126#476×C89C2211yescharacteristic
127#475×C89C2211yescharacteristic, complemented
128#474×C89C2211yescharacteristic
129#470×C89C2211yescharacteristic
130#470×C89C2211yescharacteristic
131#470×C89C2211yescharacteristic, complemented
132#469×C89C2211yescharacteristic
133#468×C89C2211yescharacteristic
134#468×C89C2211yescharacteristic
135#468×C89C2211yescharacteristic
136#468×C89C2211yescharacteristic, complemented
137#467×C89C2211yescharacteristic, complemented
138#466×C89C2211yescharacteristic
139#465×C89C2211yescharacteristic
140#465×C89C2211yescharacteristic, complemented
141#464×C89C2211yescharacteristic
142#464×C89C2211yescharacteristic
143#464×C89C2211yescharacteristic
144#464×C89C2211yescharacteristic
145#463×C89C2211yescharacteristic
146#463×C89C2211yescharacteristic
147#463×C89C2211yescharacteristic
148#463×C89C2211yescharacteristic
149#462×C89C2211yescharacteristic, complemented
150#462×C89C2211yescharacteristic, complemented
151#461×C89C2211yescharacteristic, complemented
152#461×C89C2211yescharacteristic, complemented
153#452×C89C2211yescharacteristic
154#452×C89C2211yescharacteristic
155#451×C89C2211yescharacteristic
156#451×C89C2211yescharacteristic, complemented
157#451×C89C2211yescharacteristic, complemented
158#450×C89C2211yescharacteristic
159#449×C89C2211yescharacteristic
160#449×C89C2211yescharacteristic
161#448×C89C2211yescharacteristic
162#448×C89C2211yescharacteristic, complemented
163#448×C89C2211yescharacteristic, complemented
164#447×C89C2211yescharacteristic
165#446×C89C2211yescharacteristic, complemented
166C8×Q8×C89C2211yescharacteristic, complemented
167#442×C89C2211yescharacteristic
168#441×C89C2211yescharacteristic, complemented
169#440×C89C2211yescharacteristic
170#440×C89C2211yescharacteristic, complemented
171C4×Q16×C89C2211yescharacteristic, complemented
172C4×Q16×C89C2211yescharacteristic, complemented
173C4×Q16×C89C2211yescharacteristic, complemented
174C4×SD16×C89C2211yescharacteristic
175C4×SD16×C89C2211yescharacteristic, complemented
176C4×SD16×C89C2211yescharacteristic, complemented
177C4×SD16×C89C2211yescharacteristic, complemented
178C4×D8×C89C2211yescharacteristic
179#436×C89C2211yescharacteristic
180#436×C89C2211yescharacteristic
181#436×C89C2211yescharacteristic, complemented
182#435×C89C2211yescharacteristic
183#435×C89C2211yescharacteristic
184C8×D4×C89C2211yescharacteristic, complemented
185#433×C89C2211yescharacteristic, complemented
186#433×C89C2211yescharacteristic, complemented
187#431×C89C2211yescharacteristic
188#419×C89C2211yescharacteristic
189#419×C89C2211yescharacteristic
190#419×C89C2211yescharacteristic, complemented
191#419×C89C2211yescharacteristic, complemented
192#418×C89C2211yescharacteristic
193#418×C89C2211yescharacteristic
194#417×C89C2211yescharacteristic
195#417×C89C2211yescharacteristic
196#416×C89C2211yescharacteristic
197#416×C89C2211yescharacteristic
198C2×#103×C89C2211yescharacteristic, complemented
199C2×#103×C89C2211yescharacteristic, complemented
200#405×C89C2211yescharacteristic, complemented
201#405×C89C2211yescharacteristic, complemented
202C4×M16×C89C2211yescharacteristic
203C2×#41×C89C2311yescharacteristic
204C2×#41×C89C2311yescharacteristic
205C22×Q8×C89C2311yescharacteristic
206C22×Q8×C89C2311yescharacteristic
207C22×Q8×C89C2311yescharacteristic
208C22×D4×C89C2311yescharacteristic
209C2×Q16×C89C2311yescharacteristic
210C2×Q16×C89C2311yescharacteristic
211C2×Q16×C89C2311yescharacteristic
212C2×Q16×C89C2311yescharacteristic
213C2×SD16×C89C2311yescharacteristic
214C2×SD16×C89C2311yescharacteristic
215C2×SD16×C89C2311yescharacteristic
216C2×SD16×C89C2311yescharacteristic
217C2×SD16×C89C2311yescharacteristic
218C2×SD16×C89C2311yescharacteristic
219C2×D8×C89C2311yescharacteristic
220C2×D8×C89C2311yescharacteristic
221C2×M16×C89C2311yescharacteristic
222C2×M16×C89C2311yescharacteristic
223C2×M16×C89C2311yescharacteristic
224C2×M16×C89C2311yescharacteristic
225C22×C8×C89C2311yescharacteristic
226C22×C8×C89C2311yescharacteristic
227C4⋊Q8×C89—21no—
228C4⋊Q8×C89—21no—
229C4⋊Q8×C89—21no—
230C4⋊Q8×C89—21no—
231C4⋊Q8×C89—21no—
232C4⋊Q8×C89C2311yescharacteristic
233C4⋊Q8×C89C2311yescharacteristic
234C4⋊Q8×C89C2311yescharacteristic
235C4⋊Q8×C89C2311yescharacteristic
236C4⋊Q8×C89C2311yescharacteristic
237C4⋊Q8×C89C2311yescharacteristic
238C4⋊Q8×C89C2311yescharacteristic
239C4⋊Q8×C89C2311yescharacteristic
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×C89—21no—
254#126×C89—21no—
255#126×C89D411yescharacteristic
256#126×C89D411yescharacteristic
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×C89—21no—
264#125×C89D411yescharacteristic
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×C89—21no—
279#124×C89—21no—
280#124×C89—21no—
281#124×C89D411yescharacteristic
282#124×C89C2311yescharacteristic
283#124×C89C2311yescharacteristic
284#124×C89C2311yescharacteristic
285#124×C89C2311yescharacteristic
286#124×C89C2311yescharacteristic
287#124×C89C2311yescharacteristic
288#124×C89C2311yescharacteristic
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×C89—21no—
304#123×C89D411yescharacteristic
305#123×C89D411yescharacteristic
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×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×C89D411yescharacteristic
333C22⋊Q8×C89C2311yescharacteristic
334C22⋊Q8×C89C2311yescharacteristic
335C22⋊Q8×C89C2311yescharacteristic
336C22⋊Q8×C89C2311yescharacteristic
337C22⋊Q8×C89C2311yescharacteristic
338C22⋊Q8×C89C2311yescharacteristic
339C22⋊Q8×C89C2311yescharacteristic
340#121×C89—21no—
341#121×C89—21no—
342#121×C89—21no—
343#121×C89—21no—
344#121×C89—21no—
345#121×C89—21no—
346#121×C89—21no—
347#121×C89D411yescharacteristic
348#121×C89C2311yescharacteristic
349#121×C89C2311yescharacteristic
350#121×C89C2311yescharacteristic
351#121×C89C2311yescharacteristic
352#121×C89C2311yescharacteristic
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×C89—21no—
360C4×Q8×C89C2311yescharacteristic
361C4×Q8×C89C2311yescharacteristic
362C4×Q8×C89C2311yescharacteristic
363C4×Q8×C89C2311yescharacteristic
364C4×Q8×C89C2311yescharacteristic
365C4×Q8×C89C2311yescharacteristic
366C4×Q8×C89C2311yescharacteristic
367C4×Q8×C89C2311yescharacteristic
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×C89C2311yescharacteristic
376C4×D4×C89C2311yescharacteristic
377C4×D4×C89C2311yescharacteristic
378C4×D4×C89C2311yescharacteristic
379C4×D4×C89C2311yescharacteristic
380C4×D4×C89C2311yescharacteristic
381C4×D4×C89C2311yescharacteristic
382C4×D4×C89C2311yescharacteristic
383#117×C89—21no—
384#117×C89—21no—
385#117×C89—21no—
386#117×C89—21no—
387#117×C89—21no—
388#117×C89—21no—
389#117×C89—21no—
390#117×C89C2311yescharacteristic
391#117×C89C2311yescharacteristic
392#117×C89C2311yescharacteristic
393#117×C89C2311yescharacteristic
394#117×C89C2311yescharacteristic
395#117×C89C2311yescharacteristic
396C2×C4⋊C4×C89—21no—
397C2×C4⋊C4×C89C2311yescharacteristic
398C2×C4⋊C4×C89C2311yescharacteristic
399C2×C22⋊C4×C89—21no—
400C2×C22⋊C4×C89—21no—
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#103×C89C2311yescharacteristic
443#103×C89C2311yescharacteristic
444#103×C89C2311yescharacteristic
445#103×C89C2311yescharacteristic
446#103×C89C2311yescharacteristic
447#103×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—
483C2×Q8×C89—21no—
484C2×Q8×C89—21no—
485C2×Q8×C89—21no—
486C2×Q8×C89—21no—
487C2×Q8×C89—21no—
488C2×Q8×C89—21no—
489C2×Q8×C89—21no—
490C2×Q8×C89—21no—
491C2×Q8×C89—41no—
492C2×Q8×C89—41no—
493C2×Q8×C89—41no—
494C2×Q8×C89—41no—
495C2×Q8×C89—41no—
496C2×Q8×C89—41no—
497C2×Q8×C89C2×D411yescharacteristic
498C2×Q8×C89C2411yescharacteristic
499C2×Q8×C89C2411yescharacteristic
500C2×Q8×C89C2411yescharacteristic
501C2×Q8×C89C2411yescharacteristic
502C2×Q8×C89C2411yescharacteristic
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—41no—
512C2×D4×C89—41no—
513C2×D4×C89C2×D411yescharacteristic
514C2×D4×C89C2×D411yescharacteristic
515C2×D4×C89C2×D411yescharacteristic
516C2×D4×C89C2411yescharacteristic
517C2×D4×C89C2411yescharacteristic
518C2×D4×C89C2411yescharacteristic
519C22×C4×C89—21no—
520C22×C4×C89—21no—
521C22×C4×C89—21no—
522C22×C4×C89—21no—
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×C89C2×D411yescharacteristic
532C22×C4×C89C2×D411yescharacteristic
533C22×C4×C89C2411yescharacteristic
534C22×C4×C89C2411yescharacteristic
535C22×C4×C89C2411yescharacteristic
536Q16×C89—41no—
537Q16×C89—41no—
538Q16×C89—41no—
539Q16×C89—41no—
540SD16×C89—41no—
541SD16×C89—41no—
542SD16×C89—41no—
543SD16×C89—41no—
544SD16×C89—41no—
545SD16×C89—41no—
546D8×C89—41no—
547D8×C89—41no—
548M16×C89—41no—
549M16×C89—41no—
550M16×C89—41no—
551M16×C89—41no—
552C2×C8×C89—41no—
553C2×C8×C89—41no—
554C2×C8×C89C2411yescharacteristic
555C2×C8×C89C2411yescharacteristic
556C2×C8×C89C2411yescharacteristic
557C2×C8×C89C2411yescharacteristic
558C2×C8×C89C2411yescharacteristic
559C2×C8×C89C2411yescharacteristic
560C2×C8×C89C2411yescharacteristic
561C2×C8×C89C2411yescharacteristic
562C4⋊C4×C89—21no—
563C4⋊C4×C89—21no—
564C4⋊C4×C89—21no—
565C4⋊C4×C89—21no—
566C4⋊C4×C89—21no—
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×C89C2×D411yescharacteristic
600C4⋊C4×C89C2×D411yescharacteristic
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×C89C2411yescharacteristic
610C4⋊C4×C89C2411yescharacteristic
611C4⋊C4×C89C2411yescharacteristic
612C4⋊C4×C89C2411yescharacteristic
613C4⋊C4×C89C2411yescharacteristic
614C4⋊C4×C89C2411yescharacteristic
615C4⋊C4×C89C2411yescharacteristic
616C4⋊C4×C89C2411yescharacteristic
617C22⋊C4×C89—21no—
618C22⋊C4×C89—21no—
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×C89C2×D411yescharacteristic
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
662C42×C89—21no—
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—42no—
683C23×C89—81no—
684C23×C89—81no—
685C23×C89C22×D411yescharacteristic
686C23×C89C22×D411yescharacteristic
687C23×C89C22×D411yescharacteristic
688Q8×C89—21no—
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—21no—
698Q8×C89—41no—
699Q8×C89—81no—
700Q8×C89—81no—
701Q8×C89—81no—
702Q8×C89—81no—
703Q8×C89—81no—
704Q8×C89—81no—
705Q8×C89—81no—
706Q8×C89—81no—
707D4×C89—21no—
708D4×C89—21no—
709D4×C89—21no—
710D4×C89—21no—
711D4×C89—21no—
712D4×C89—21no—
713D4×C89—41no—
714D4×C89—41no—
715D4×C89—41no—
716D4×C89—81no—
717D4×C89—81no—
718D4×C89—81no—
719D4×C89—81no—
720D4×C89—81no—
721D4×C89—81no—
722D4×C89—81no—
723D4×C89—81no—
724C2×C4×C89—21no—
725C2×C4×C89—21no—
726C2×C4×C89—21no—
727C2×C4×C89—21no—
728C2×C4×C89—21no—
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—41no—
744C2×C4×C89—41no—
745C2×C4×C89—81no—
746C2×C4×C89—81no—
747C2×C4×C89—81no—
748C2×C4×C89—81no—
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×C89C22×D411yescharacteristic
758C2×C4×C89C22×D411yescharacteristic
759C2×C4×C89C22×D411yescharacteristic
760C2×C4×C89C22×D411yescharacteristic
761C2×C4×C89C22×D411yescharacteristic
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×C89C2511yescharacteristic
769C8×C89—21no—
770C8×C89—21no—
771C8×C89—21no—
772C8×C89—21no—
773C8×C89—21no—
774C8×C89—21no—
775C8×C89—21no—
776C8×C89—21no—
777C22×C89—21no—
778C22×C89—21no—
779C22×C89—21no—
780C22×C89—21no—
781C22×C89—21no—
782C22×C89—21no—
783C22×C89—21no—
784C22×C89—21no—
785C22×C89—21no—
786C22×C89—41no—
787C22×C89—41no—
788C22×C89—41no—
789C22×C89—41no—
790C22×C89—41no—
791C22×C89—41no—
792C22×C89—41no—
793C22×C89—41no—
794C22×C89—41no—
795C22×C89—162no—
796C22×C89C23×D411yescharacteristic
797C4×C89—21no—
798C4×C89—21no—
799C4×C89—21no—
800C4×C89—21no—
801C4×C89—21no—
802C4×C89—21no—
803C4×C89—21no—
804C4×C89—21no—
805C4×C89—21no—
806C4×C89—21no—
807C4×C89—21no—
808C4×C89—41no—
809C4×C89—41no—
810C4×C89—41no—
811C4×C89—41no—
812C4×C89—41no—
813C4×C89—41no—
814C4×C89—41no—
815C4×C89—41no—
816C4×C89—41no—
817C4×C89—41no—
818C4×C89—41no—
819C4×C89—41no—
820C4×C89—41no—
821C4×C89#58511yescharacteristic
822C4×C89#58511yescharacteristic
823#62615C8911yesmaximal, characteristic, direct product factor, Sylow
824C2×C89—41no—
825C2×C89—41no—
826C2×C89—41no—
827C2×C89—81no—
828C2×C89—81no—
829C2×C89—81no—
830C2×C89#350011yescharacteristic
831C2×C89#358411yescharacteristic
832C2×C89#358611yescharacteristic
833#3565C2×C8911yescharacteristic, complemented
834#3561C2×C8911yescharacteristic, complemented
835#3377C2×C8911yescharacteristic, complemented
836#3376C2×C8911yescharacteristic, complemented
837#3364C2×C8911yescharacteristic, complemented
838#3360C2×C8911yescharacteristic, complemented
839#3329C2×C8911yescharacteristic, complemented
840#3328C2×C8911yescharacteristic, complemented
841#3327C2×C8911yescharacteristic, complemented
842#3326C2×C8911yescharacteristic, complemented
843#3323C2×C8911yescharacteristic, complemented
844#3322C2×C8911yescharacteristic, complemented
845#3320C2×C8911yescharacteristic, complemented
846#3319C2×C8911yescharacteristic, complemented
847#3312C2×C8911yescharacteristic, complemented
848#3311C2×C8911yescharacteristic, complemented
849#3301C2×C8911yescharacteristic, complemented
850#3300C2×C8911yescharacteristic, complemented
851#3244C2×C8911yescharacteristic, complemented
852#3243C2×C8911yescharacteristic, complemented
853#3231C2×C8911yescharacteristic, complemented
854#3225C2×C8911yescharacteristic, complemented
855#3225C2×C8911yescharacteristic, complemented
856#3211C2×C8911yescharacteristic, complemented
857#3175C2×C8911yescharacteristic, complemented
858#3173C2×C8911yescharacteristic, complemented
859#3172C2×C8911yescharacteristic, complemented
860#3140C2×C8911yescharacteristic, complemented
861#3137C2×C8911yescharacteristic, complemented
862#3137C2×C8911yescharacteristic, complemented
863#2969C2×C8911yescharacteristic, complemented
864C89#6261511yescharacteristic, direct product factor, Sylow
865#563—21no—
866#563—21no—
867#562—21no—
868#562—21no—
869#557C22×C8911yescharacteristic, complemented
870#556—21no—
871#556C22×C8911yescharacteristic
872#556C22×C8911yescharacteristic
873#556C22×C8911yescharacteristic
874#555C22×C8911yescharacteristic
875#554C22×C8911yescharacteristic, complemented
876#553C22×C8911yescharacteristic
877#553C22×C8911yescharacteristic, complemented
878#552—21no—
879#552C22×C8911yescharacteristic
880#552C22×C8911yescharacteristic, complemented
881#551—21no—
882#551—21no—
883D4×Q8C22×C8911yescharacteristic
884D4×Q8C22×C8911yescharacteristic
885#548C22×C8911yescharacteristic
886#548C22×C8911yescharacteristic
887#546C22×C8911yescharacteristic
888#546C22×C8911yescharacteristic
889#544C22×C8911yescharacteristic, complemented
890#544C22×C8911yescharacteristic, complemented
891#543—21no—
892#542—21no—
893#542—21no—
894#542—21no—
895#542—21no—
896#542C22×C8911yescharacteristic
897#542C22×C8911yescharacteristic
898#542C22×C8911yescharacteristic, complemented
899#542C22×C8911yescharacteristic, complemented
900#541—21no—
901#539—21no—
902#538—21no—
903#536C22×C8911yescharacteristic
904#536C22×C8911yescharacteristic
905#533C22×C8911yescharacteristic
906#533C22×C8911yescharacteristic
907#529C22×C8911yescharacteristic
908#529C22×C8911yescharacteristic
909C2×#124C22×C8911yescharacteristic
910#501C22×C8911yescharacteristic, complemented
911#500C22×C8911yescharacteristic, complemented
912#498C22×C8911yescharacteristic, complemented
913#497C22×C8911yescharacteristic, complemented
914#495C22×C8911yescharacteristic
915#495C22×C8911yescharacteristic
916#491C22×C8911yescharacteristic, complemented
917#491C22×C8911yescharacteristic, complemented
918#491C22×C8911yescharacteristic, complemented
919#489C22×C8911yescharacteristic
920#489C22×C8911yescharacteristic
921#489C22×C8911yescharacteristic
922#489C22×C8911yescharacteristic
923#489C22×C8911yescharacteristic
924#489C22×C8911yescharacteristic
925#489C22×C8911yescharacteristic, complemented
926#488C22×C8911yescharacteristic
927#488C22×C8911yescharacteristic
928#488C22×C8911yescharacteristic
929#488C22×C8911yescharacteristic
930#488C22×C8911yescharacteristic
931#488C22×C8911yescharacteristic
932#488C22×C8911yescharacteristic
933#488C22×C8911yescharacteristic
934#487C22×C8911yescharacteristic, complemented
935#487C22×C8911yescharacteristic, complemented
936#487C22×C8911yescharacteristic, complemented
937#487C22×C8911yescharacteristic, complemented
938#485C22×C8911yescharacteristic
939#485C22×C8911yescharacteristic
940#485C22×C8911yescharacteristic
941#485C22×C8911yescharacteristic
942#485C22×C8911yescharacteristic, complemented
943#485C22×C8911yescharacteristic, complemented
944#484C22×C8911yescharacteristic, complemented
945#483C22×C8911yescharacteristic, complemented
946#482C22×C8911yescharacteristic
947#482C22×C8911yescharacteristic
948#481C22×C8911yescharacteristic
949#480C22×C8911yescharacteristic
950#479C22×C8911yescharacteristic, complemented
951#479C22×C8911yescharacteristic, complemented
952#479C22×C8911yescharacteristic, complemented
953#479C22×C8911yescharacteristic, complemented
954#479C22×C8911yescharacteristic, complemented
955#479C22×C8911yescharacteristic, complemented
956#478C22×C8911yescharacteristic
957#478C22×C8911yescharacteristic
958#477C22×C8911yescharacteristic, complemented
959#476C22×C8911yescharacteristic
960#475C22×C8911yescharacteristic, complemented
961#474C22×C8911yescharacteristic
962#470C22×C8911yescharacteristic
963#470C22×C8911yescharacteristic
964#470C22×C8911yescharacteristic, complemented
965#469C22×C8911yescharacteristic
966#468C22×C8911yescharacteristic
967#468C22×C8911yescharacteristic
968#468C22×C8911yescharacteristic
969#468C22×C8911yescharacteristic, complemented
970#467C22×C8911yescharacteristic, complemented
971#466C22×C8911yescharacteristic
972#465C22×C8911yescharacteristic
973#465C22×C8911yescharacteristic, complemented
974#464C22×C8911yescharacteristic
975#464C22×C8911yescharacteristic
976#464C22×C8911yescharacteristic
977#464C22×C8911yescharacteristic
978#463C22×C8911yescharacteristic
979#463C22×C8911yescharacteristic
980#463C22×C8911yescharacteristic
981#463C22×C8911yescharacteristic
982#462C22×C8911yescharacteristic, complemented
983#462C22×C8911yescharacteristic, complemented
984#461C22×C8911yescharacteristic, complemented
985#461C22×C8911yescharacteristic, complemented
986#452C22×C8911yescharacteristic
987#452C22×C8911yescharacteristic
988#451C22×C8911yescharacteristic
989#451C22×C8911yescharacteristic, complemented
990#451C22×C8911yescharacteristic, complemented
991#450C22×C8911yescharacteristic
992#449C22×C8911yescharacteristic
993#449C22×C8911yescharacteristic
994#448C22×C8911yescharacteristic
995#448C22×C8911yescharacteristic, complemented
996#448C22×C8911yescharacteristic, complemented
997#447C22×C8911yescharacteristic
998#446C22×C8911yescharacteristic, complemented
999C8×Q8C22×C8911yescharacteristic, complemented
1000#442C22×C8911yescharacteristic
1001#441C22×C8911yescharacteristic, complemented
1002#440C22×C8911yescharacteristic
1003#440C22×C8911yescharacteristic, complemented
1004C4×Q16C22×C8911yescharacteristic, complemented
1005C4×Q16C22×C8911yescharacteristic, complemented
1006C4×Q16C22×C8911yescharacteristic, complemented
1007C4×SD16C22×C8911yescharacteristic
1008C4×SD16C22×C8911yescharacteristic, complemented
1009C4×SD16C22×C8911yescharacteristic, complemented
1010C4×SD16C22×C8911yescharacteristic, complemented
1011C4×D8C22×C8911yescharacteristic
1012#436C22×C8911yescharacteristic
1013#436C22×C8911yescharacteristic
1014#436C22×C8911yescharacteristic, complemented
1015#435C22×C8911yescharacteristic
1016#435C22×C8911yescharacteristic
1017C8×D4C22×C8911yescharacteristic, complemented
1018#433C22×C8911yescharacteristic, complemented
1019#433C22×C8911yescharacteristic, complemented
1020#431C22×C8911yescharacteristic
1021#419C22×C8911yescharacteristic
1022#419C22×C8911yescharacteristic
1023#419C22×C8911yescharacteristic, complemented
1024#419C22×C8911yescharacteristic, complemented
1025#418C22×C8911yescharacteristic
1026#418C22×C8911yescharacteristic
1027#417C22×C8911yescharacteristic
1028#417C22×C8911yescharacteristic
1029#416C22×C8911yescharacteristic
1030#416C22×C8911yescharacteristic
1031C2×#103C22×C8911yescharacteristic, complemented
1032C2×#103C22×C8911yescharacteristic, complemented
1033#405C22×C8911yescharacteristic, complemented
1034#405C22×C8911yescharacteristic, complemented
1035C4×M16C22×C8911yescharacteristic
1036C2×#41C23×C8911yescharacteristic
1037C2×#41C23×C8911yescharacteristic
1038C22×Q8C23×C8911yescharacteristic
1039C22×Q8C23×C8911yescharacteristic
1040C22×Q8C23×C8911yescharacteristic
1041C22×D4C23×C8911yescharacteristic
1042C2×Q16C23×C8911yescharacteristic
1043C2×Q16C23×C8911yescharacteristic
1044C2×Q16C23×C8911yescharacteristic
1045C2×Q16C23×C8911yescharacteristic
1046C2×SD16C23×C8911yescharacteristic
1047C2×SD16C23×C8911yescharacteristic
1048C2×SD16C23×C8911yescharacteristic
1049C2×SD16C23×C8911yescharacteristic
1050C2×SD16C23×C8911yescharacteristic
1051C2×SD16C23×C8911yescharacteristic
1052C2×D8C23×C8911yescharacteristic
1053C2×D8C23×C8911yescharacteristic
1054C2×M16C23×C8911yescharacteristic
1055C2×M16C23×C8911yescharacteristic
1056C2×M16C23×C8911yescharacteristic
1057C2×M16C23×C8911yescharacteristic
1058C22×C8C23×C8911yescharacteristic
1059C22×C8C23×C8911yescharacteristic
1060C4⋊Q8—21no—
1061C4⋊Q8—21no—
1062C4⋊Q8—21no—
1063C4⋊Q8—21no—
1064C4⋊Q8—21no—
1065C4⋊Q8C23×C8911yescharacteristic
1066C4⋊Q8C23×C8911yescharacteristic
1067C4⋊Q8C23×C8911yescharacteristic
1068C4⋊Q8C23×C8911yescharacteristic
1069C4⋊Q8C23×C8911yescharacteristic
1070C4⋊Q8C23×C8911yescharacteristic
1071C4⋊Q8C23×C8911yescharacteristic
1072C4⋊Q8C23×C8911yescharacteristic
1073#126—21no—
1074#126—21no—
1075#126—21no—
1076#126—21no—
1077#126—21no—
1078#126—21no—
1079#126—21no—
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#126D4×C8911yescharacteristic
1089#126D4×C8911yescharacteristic
1090#125—21no—
1091#125—21no—
1092#125—21no—
1093#125—21no—
1094#125—21no—
1095#125—21no—
1096#125—21no—
1097#125D4×C8911yescharacteristic
1098#125C23×C8911yescharacteristic
1099#125C23×C8911yescharacteristic
1100#125C23×C8911yescharacteristic
1101#125C23×C8911yescharacteristic
1102#125C23×C8911yescharacteristic
1103#124—21no—
1104#124—21no—
1105#124—21no—
1106#124—21no—
1107#124—21no—
1108#124—21no—
1109#124—21no—
1110#124—21no—
1111#124—21no—
1112#124—21no—
1113#124—21no—
1114#124D4×C8911yescharacteristic
1115#124C23×C8911yescharacteristic
1116#124C23×C8911yescharacteristic
1117#124C23×C8911yescharacteristic
1118#124C23×C8911yescharacteristic
1119#124C23×C8911yescharacteristic
1120#124C23×C8911yescharacteristic
1121#124C23×C8911yescharacteristic
1122#123—21no—
1123#123—21no—
1124#123—21no—
1125#123—21no—
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#123D4×C8911yescharacteristic
1138#123D4×C8911yescharacteristic
1139C22⋊Q8—21no—
1140C22⋊Q8—21no—
1141C22⋊Q8—21no—
1142C22⋊Q8—21no—
1143C22⋊Q8—21no—
1144C22⋊Q8—21no—
1145C22⋊Q8—21no—
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⋊Q8—21no—
1163C22⋊Q8—21no—
1164C22⋊Q8—21no—
1165C22⋊Q8D4×C8911yescharacteristic
1166C22⋊Q8C23×C8911yescharacteristic
1167C22⋊Q8C23×C8911yescharacteristic
1168C22⋊Q8C23×C8911yescharacteristic
1169C22⋊Q8C23×C8911yescharacteristic
1170C22⋊Q8C23×C8911yescharacteristic
1171C22⋊Q8C23×C8911yescharacteristic
1172C22⋊Q8C23×C8911yescharacteristic
1173#121—21no—
1174#121—21no—
1175#121—21no—
1176#121—21no—
1177#121—21no—
1178#121—21no—
1179#121—21no—
1180#121D4×C8911yescharacteristic
1181#121C23×C8911yescharacteristic
1182#121C23×C8911yescharacteristic
1183#121C23×C8911yescharacteristic
1184#121C23×C8911yescharacteristic
1185#121C23×C8911yescharacteristic
1186#120—21no—
1187#120—21no—
1188C4×Q8—21no—
1189C4×Q8—21no—
1190C4×Q8—21no—
1191C4×Q8—21no—
1192C4×Q8—21no—
1193C4×Q8C23×C8911yescharacteristic
1194C4×Q8C23×C8911yescharacteristic
1195C4×Q8C23×C8911yescharacteristic
1196C4×Q8C23×C8911yescharacteristic
1197C4×Q8C23×C8911yescharacteristic
1198C4×Q8C23×C8911yescharacteristic
1199C4×Q8C23×C8911yescharacteristic
1200C4×Q8C23×C8911yescharacteristic
1201C4×D4—21no—
1202C4×D4—21no—
1203C4×D4—21no—
1204C4×D4—21no—
1205C4×D4—21no—
1206C4×D4—21no—
1207C4×D4—21no—
1208C4×D4C23×C8911yescharacteristic
1209C4×D4C23×C8911yescharacteristic
1210C4×D4C23×C8911yescharacteristic
1211C4×D4C23×C8911yescharacteristic
1212C4×D4C23×C8911yescharacteristic
1213C4×D4C23×C8911yescharacteristic
1214C4×D4C23×C8911yescharacteristic
1215C4×D4C23×C8911yescharacteristic
1216#117—21no—
1217#117—21no—
1218#117—21no—
1219#117—21no—
1220#117—21no—
1221#117—21no—
1222#117—21no—
1223#117C23×C8911yescharacteristic
1224#117C23×C8911yescharacteristic
1225#117C23×C8911yescharacteristic
1226#117C23×C8911yescharacteristic
1227#117C23×C8911yescharacteristic
1228#117C23×C8911yescharacteristic
1229C2×C4⋊C4—21no—
1230C2×C4⋊C4C23×C8911yescharacteristic
1231C2×C4⋊C4C23×C8911yescharacteristic
1232C2×C22⋊C4—21no—
1233C2×C22⋊C4—21no—
1234C2×C22⋊C4—21no—
1235C2×C22⋊C4—21no—
1236C2×C42C23×C8911yescharacteristic
1237#107C23×C8911yescharacteristic
1238#107C23×C8911yescharacteristic
1239#107C23×C8911yescharacteristic
1240#107C23×C8911yescharacteristic
1241#107C23×C8911yescharacteristic
1242#107C23×C8911yescharacteristic
1243#106C23×C8911yescharacteristic
1244#106C23×C8911yescharacteristic
1245#106C23×C8911yescharacteristic
1246#106C23×C8911yescharacteristic
1247#106C23×C8911yescharacteristic
1248#106C23×C8911yescharacteristic
1249C4⋊C8C23×C8911yescharacteristic
1250C4⋊C8C23×C8911yescharacteristic
1251C4⋊C8C23×C8911yescharacteristic
1252C4⋊C8C23×C8911yescharacteristic
1253C4⋊C8C23×C8911yescharacteristic
1254C4⋊C8C23×C8911yescharacteristic
1255#103C23×C8911yescharacteristic
1256#103C23×C8911yescharacteristic
1257#103C23×C8911yescharacteristic
1258#103C23×C8911yescharacteristic
1259#103C23×C8911yescharacteristic
1260#103C23×C8911yescharacteristic
1261#103C23×C8911yescharacteristic
1262#103C23×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#102C23×C8911yescharacteristic
1282#102C23×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
1295C22⋊C8C23×C8911yescharacteristic
1296C22⋊C8C23×C8911yescharacteristic
1297C22⋊C8C23×C8911yescharacteristic
1298C22⋊C8C23×C8911yescharacteristic
1299C22⋊C8C23×C8911yescharacteristic
1300C22⋊C8C23×C8911yescharacteristic
1301#97C23×C8911yescharacteristic
1302#97C23×C8911yescharacteristic
1303#97C23×C8911yescharacteristic
1304#97C23×C8911yescharacteristic
1305C4×C8C23×C8911yescharacteristic
1306C4×C8C23×C8911yescharacteristic
1307C4×C8C23×C8911yescharacteristic
1308C4×C8C23×C8911yescharacteristic
1309C4×C8C23×C8911yescharacteristic
1310C4×C8C23×C8911yescharacteristic
1311C24—21no—
1312#41—41no—
1313#41—41no—
1314#41—41no—
1315#41—41no—
1316C2×Q8—21no—
1317C2×Q8—21no—
1318C2×Q8—21no—
1319C2×Q8—21no—
1320C2×Q8—21no—
1321C2×Q8—21no—
1322C2×Q8—21no—
1323C2×Q8—21no—
1324C2×Q8—41no—
1325C2×Q8—41no—
1326C2×Q8—41no—
1327C2×Q8—41no—
1328C2×Q8—41no—
1329C2×Q8—41no—
1330C2×Q8C2×D4×C8911yescharacteristic
1331C2×Q8C24×C8911yescharacteristic
1332C2×Q8C24×C8911yescharacteristic
1333C2×Q8C24×C8911yescharacteristic
1334C2×Q8C24×C8911yescharacteristic
1335C2×Q8C24×C8911yescharacteristic
1336C2×D4—21no—
1337C2×D4—21no—
1338C2×D4—21no—
1339C2×D4—21no—
1340C2×D4—21no—
1341C2×D4—21no—
1342C2×D4—21no—
1343C2×D4—21no—
1344C2×D4—41no—
1345C2×D4—41no—
1346C2×D4C2×D4×C8911yescharacteristic
1347C2×D4C2×D4×C8911yescharacteristic
1348C2×D4C2×D4×C8911yescharacteristic
1349C2×D4C24×C8911yescharacteristic
1350C2×D4C24×C8911yescharacteristic
1351C2×D4C24×C8911yescharacteristic
1352C22×C4—21no—
1353C22×C4—21no—
1354C22×C4—21no—
1355C22×C4—21no—
1356C22×C4—21no—
1357C22×C4—21no—
1358C22×C4—21no—
1359C22×C4—21no—
1360C22×C4—21no—
1361C22×C4—21no—
1362C22×C4—21no—
1363C22×C4—21no—
1364C22×C4C2×D4×C8911yescharacteristic
1365C22×C4C2×D4×C8911yescharacteristic
1366C22×C4C24×C8911yescharacteristic
1367C22×C4C24×C8911yescharacteristic
1368C22×C4C24×C8911yescharacteristic
1369Q16—41no—
1370Q16—41no—
1371Q16—41no—
1372Q16—41no—
1373SD16—41no—
1374SD16—41no—
1375SD16—41no—
1376SD16—41no—
1377SD16—41no—
1378SD16—41no—
1379D8—41no—
1380D8—41no—
1381M16—41no—
1382M16—41no—
1383M16—41no—
1384M16—41no—
1385C2×C8—41no—
1386C2×C8—41no—
1387C2×C8C24×C8911yescharacteristic
1388C2×C8C24×C8911yescharacteristic
1389C2×C8C24×C8911yescharacteristic
1390C2×C8C24×C8911yescharacteristic
1391C2×C8C24×C8911yescharacteristic
1392C2×C8C24×C8911yescharacteristic
1393C2×C8C24×C8911yescharacteristic
1394C2×C8C24×C8911yescharacteristic
1395C4⋊C4—21no—
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—21no—
1401C4⋊C4—21no—
1402C4⋊C4—21no—
1403C4⋊C4—21no—
1404C4⋊C4—21no—
1405C4⋊C4—21no—
1406C4⋊C4—21no—
1407C4⋊C4—21no—
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⋊C4C2×D4×C8911yescharacteristic
1433C4⋊C4C2×D4×C8911yescharacteristic
1434C4⋊C4C2×D4×C8911yescharacteristic
1435C4⋊C4C2×D4×C8911yescharacteristic
1436C4⋊C4C2×D4×C8911yescharacteristic
1437C4⋊C4C2×D4×C8911yescharacteristic
1438C4⋊C4C2×D4×C8911yescharacteristic
1439C4⋊C4C2×D4×C8911yescharacteristic
1440C4⋊C4C2×D4×C8911yescharacteristic
1441C4⋊C4C2×D4×C8911yescharacteristic
1442C4⋊C4C24×C8911yescharacteristic
1443C4⋊C4C24×C8911yescharacteristic
1444C4⋊C4C24×C8911yescharacteristic
1445C4⋊C4C24×C8911yescharacteristic
1446C4⋊C4C24×C8911yescharacteristic
1447C4⋊C4C24×C8911yescharacteristic
1448C4⋊C4C24×C8911yescharacteristic
1449C4⋊C4C24×C8911yescharacteristic
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—21no—
1453C22⋊C4—21no—
1454C22⋊C4—21no—
1455C22⋊C4—21no—
1456C22⋊C4—21no—
1457C22⋊C4—21no—
1458C22⋊C4—21no—
1459C22⋊C4—21no—
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⋊C4C2×D4×C8911yescharacteristic
1486C22⋊C4C2×D4×C8911yescharacteristic
1487C22⋊C4C2×D4×C8911yescharacteristic
1488C22⋊C4C2×D4×C8911yescharacteristic
1489C22⋊C4C2×D4×C8911yescharacteristic
1490C22⋊C4C2×D4×C8911yescharacteristic
1491C22⋊C4C2×D4×C8911yescharacteristic
1492C22⋊C4C2×D4×C8911yescharacteristic
1493C22⋊C4C2×D4×C8911yescharacteristic
1494C22⋊C4C2×D4×C8911yescharacteristic
1495C42—21no—
1496C42—21no—
1497C42—21no—
1498C42—21no—
1499C42—21no—
1500C42—21no—
1501C42—21no—
1502C42—21no—
1503C42—21no—
1504C42—21no—
1505C42—21no—
1506C42C2×D4×C8911yescharacteristic
1507C42C2×D4×C8911yescharacteristic
1508C42C24×C8911yescharacteristic
1509C42C24×C8911yescharacteristic
1510C42C24×C8911yescharacteristic
1511C42C24×C8911yescharacteristic
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—42no—
1516C23—81no—
1517C23—81no—
1518C23C22×D4×C8911yescharacteristic
1519C23C22×D4×C8911yescharacteristic
1520C23C22×D4×C8911yescharacteristic
1521Q8—21no—
1522Q8—21no—
1523Q8—21no—
1524Q8—21no—
1525Q8—21no—
1526Q8—21no—
1527Q8—21no—
1528Q8—21no—
1529Q8—21no—
1530Q8—21no—
1531Q8—41no—
1532Q8—81no—
1533Q8—81no—
1534Q8—81no—
1535Q8—81no—
1536Q8—81no—
1537Q8—81no—
1538Q8—81no—
1539Q8—81no—
1540D4—21no—
1541D4—21no—
1542D4—21no—
1543D4—21no—
1544D4—21no—
1545D4—21no—
1546D4—41no—
1547D4—41no—
1548D4—41no—
1549D4—81no—
1550D4—81no—
1551D4—81no—
1552D4—81no—
1553D4—81no—
1554D4—81no—
1555D4—81no—
1556D4—81no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—41no—
1577C2×C4—41no—
1578C2×C4—81no—
1579C2×C4—81no—
1580C2×C4—81no—
1581C2×C4—81no—
1582C2×C4—81no—
1583C2×C4—81no—
1584C2×C4—81no—
1585C2×C4—81no—
1586C2×C4—81no—
1587C2×C4—81no—
1588C2×C4—81no—
1589C2×C4—81no—
1590C2×C4C22×D4×C8911yescharacteristic
1591C2×C4C22×D4×C8911yescharacteristic
1592C2×C4C22×D4×C8911yescharacteristic
1593C2×C4C22×D4×C8911yescharacteristic
1594C2×C4C22×D4×C8911yescharacteristic
1595C2×C4C22×D4×C8911yescharacteristic
1596C2×C4C22×D4×C8911yescharacteristic
1597C2×C4C22×D4×C8911yescharacteristic
1598C2×C4C22×D4×C8911yescharacteristic
1599C2×C4C22×D4×C8911yescharacteristic
1600C2×C4C22×D4×C8911yescharacteristic
1601C2×C4C25×C8911yescharacteristic
1602C8—21no—
1603C8—21no—
1604C8—21no—
1605C8—21no—
1606C8—21no—
1607C8—21no—
1608C8—21no—
1609C8—21no—
1610C22—21no—
1611C22—21no—
1612C22—21no—
1613C22—21no—
1614C22—21no—
1615C22—21no—
1616C22—21no—
1617C22—21no—
1618C22—21no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—162no—
1629C22C23×D4×C8911yescharacteristic
1630C4—21no—
1631C4—21no—
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—21no—
1637C4—21no—
1638C4—21no—
1639C4—21no—
1640C4—21no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4#585×C8911yescharacteristic
1655C4#585×C8911yescharacteristic
1656C2—41no—
1657C2—41no—
1658C2—41no—
1659C2—81no—
1660C2—81no—
1661C2—81no—
1662C2C89×#350011yescharacteristic
1663C2C89×#358411yescharacteristic
1664C2C89×#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×#3565C2semidirect
2. C89×#3561C2semidirect
3. C89×#3377C2semidirect
4. C89×#3376C2semidirect
5. C89×#3364C2semidirect
6. C89×#3360C2semidirect
7. C89×#3329C2semidirect
8. C89×#3328C2semidirect
9. C89×#3327C2semidirect
10. C89×#3326C2semidirect
11. C89×#3323C2semidirect
12. C89×#3322C2semidirect
13. C89×#3320C2semidirect
14. C89×#3319C2semidirect
15. C89×#3312C2semidirect
16. C89×#3311C2semidirect
17. C89×#3301C2semidirect
18. C89×#3300C2semidirect
19. C89×#3244C2semidirect
20. C89×#3243C2semidirect
21. C89×#3231C2semidirect
22. C89×#3225C2semidirect
23. C89×#3225C2semidirect
24. C89×#3211C2semidirect
25. C89×#3175C2semidirect
26. C89×#3173C2semidirect
27. C89×#3172C2semidirect
28. C89×#3140C2semidirect
29. C89×#3137C2semidirect
30. C89×#3137C2semidirect
31. C89×#2969C2semidirect
36. #557×C89C22semidirect
42. #554×C89C22semidirect
44. #553×C89C22semidirect
47. #552×C89C22semidirect
56. #544×C89C22semidirect
57. #544×C89C22semidirect
65. #542×C89C22semidirect
66. #542×C89C22semidirect
77. #501×C89C22semidirect
78. #500×C89C22semidirect
79. #498×C89C22semidirect
80. #497×C89C22semidirect
83. #491×C89C22semidirect
84. #491×C89C22semidirect
85. #491×C89C22semidirect
92. #489×C89C22semidirect
101. #487×C89C22semidirect
102. #487×C89C22semidirect
103. #487×C89C22semidirect
104. #487×C89C22semidirect
109. #485×C89C22semidirect
110. #485×C89C22semidirect
111. #484×C89C22semidirect
112. #483×C89C22semidirect
117. #479×C89C22semidirect
118. #479×C89C22semidirect
119. #479×C89C22semidirect
120. #479×C89C22semidirect
121. #479×C89C22semidirect
122. #479×C89C22semidirect
125. #477×C89C22semidirect
127. #475×C89C22semidirect
131. #470×C89C22semidirect
136. #468×C89C22semidirect
137. #467×C89C22semidirect
140. #465×C89C22semidirect
149. #462×C89C22semidirect
150. #462×C89C22semidirect
151. #461×C89C22semidirect
152. #461×C89C22semidirect
156. #451×C89C22semidirect
157. #451×C89C22semidirect
162. #448×C89C22semidirect
163. #448×C89C22semidirect
165. #446×C89C22semidirect
166. C8×Q8×C89C22semidirect
168. #441×C89C22semidirect
170. #440×C89C22semidirect
171. C4×Q16×C89C22semidirect
172. C4×Q16×C89C22semidirect
173. C4×Q16×C89C22semidirect
175. C4×SD16×C89C22semidirect
176. C4×SD16×C89C22semidirect
177. C4×SD16×C89C22semidirect
181. #436×C89C22semidirect
184. C8×D4×C89C22semidirect
185. #433×C89C22semidirect
186. #433×C89C22semidirect
190. #419×C89C22semidirect
191. #419×C89C22semidirect
198. C2×#103×C89C22semidirect
199. C2×#103×C89C22semidirect
200. #405×C89C22semidirect
201. #405×C89C22semidirect
823. #62615C89direct (N × H)
833. #3565C2×C89semidirect
834. #3561C2×C89semidirect
835. #3377C2×C89semidirect
836. #3376C2×C89semidirect
837. #3364C2×C89semidirect
838. #3360C2×C89semidirect
839. #3329C2×C89semidirect
840. #3328C2×C89semidirect
841. #3327C2×C89semidirect
842. #3326C2×C89semidirect
843. #3323C2×C89semidirect
844. #3322C2×C89semidirect
845. #3320C2×C89semidirect
846. #3319C2×C89semidirect
847. #3312C2×C89semidirect
848. #3311C2×C89semidirect
849. #3301C2×C89semidirect
850. #3300C2×C89semidirect
851. #3244C2×C89semidirect
852. #3243C2×C89semidirect
853. #3231C2×C89semidirect
854. #3225C2×C89semidirect
855. #3225C2×C89semidirect
856. #3211C2×C89semidirect
857. #3175C2×C89semidirect
858. #3173C2×C89semidirect
859. #3172C2×C89semidirect
860. #3140C2×C89semidirect
861. #3137C2×C89semidirect
862. #3137C2×C89semidirect
863. #2969C2×C89semidirect
864. C89#62615direct (N × H)
869. #557C22×C89semidirect
875. #554C22×C89semidirect
877. #553C22×C89semidirect
880. #552C22×C89semidirect
889. #544C22×C89semidirect
890. #544C22×C89semidirect
898. #542C22×C89semidirect
899. #542C22×C89semidirect
910. #501C22×C89semidirect
911. #500C22×C89semidirect
912. #498C22×C89semidirect
913. #497C22×C89semidirect
916. #491C22×C89semidirect
917. #491C22×C89semidirect
918. #491C22×C89semidirect
925. #489C22×C89semidirect
934. #487C22×C89semidirect
935. #487C22×C89semidirect
936. #487C22×C89semidirect
937. #487C22×C89semidirect
942. #485C22×C89semidirect
943. #485C22×C89semidirect
944. #484C22×C89semidirect
945. #483C22×C89semidirect
950. #479C22×C89semidirect
951. #479C22×C89semidirect
952. #479C22×C89semidirect
953. #479C22×C89semidirect
954. #479C22×C89semidirect
955. #479C22×C89semidirect
958. #477C22×C89semidirect
960. #475C22×C89semidirect
964. #470C22×C89semidirect
969. #468C22×C89semidirect
970. #467C22×C89semidirect
973. #465C22×C89semidirect
982. #462C22×C89semidirect
983. #462C22×C89semidirect
984. #461C22×C89semidirect
985. #461C22×C89semidirect
989. #451C22×C89semidirect
990. #451C22×C89semidirect
995. #448C22×C89semidirect
996. #448C22×C89semidirect
998. #446C22×C89semidirect
999. C8×Q8C22×C89semidirect
1001. #441C22×C89semidirect
1003. #440C22×C89semidirect
1004. C4×Q16C22×C89semidirect
1005. C4×Q16C22×C89semidirect
1006. C4×Q16C22×C89semidirect
1008. C4×SD16C22×C89semidirect
1009. C4×SD16C22×C89semidirect
1010. C4×SD16C22×C89semidirect
1014. #436C22×C89semidirect
1017. C8×D4C22×C89semidirect
1018. #433C22×C89semidirect
1019. #433C22×C89semidirect
1023. #419C22×C89semidirect
1024. #419C22×C89semidirect
1031. C2×#103C22×C89semidirect
1032. C2×#103C22×C89semidirect
1033. #405C22×C89semidirect
1034. #405C22×C89semidirect

Maximal subgroups

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

subgroupindex
C89×#35652
C89×#35612
C89×#33772
C89×#33762
C89×#33642
C89×#33602
C89×#33292
C89×#33282
C89×#33272
C89×#33262
C89×#33232
C89×#33222
C89×#33202
C89×#33192
C89×#33122
C89×#33112
C89×#33012
C89×#33002
C89×#32442
C89×#32432
C89×#32312
C89×#32252
C89×#32112
C89×#31752
C89×#31732
C89×#31722
C89×#31402
C89×#31372
C89×#29692
#6261589