Finite Group Databasebeta

← C89×#61612 #36439460

Subgroups — C89×#61612 #36439460

Order 22784.

2022 conjugacy classes of subgroups.

The subgroup lattice has 1832 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C89×#3541C211yesmaximal, characteristic, complemented
2C89×#3486C211yesmaximal, characteristic, complemented
3C89×#3328C211yesmaximal, characteristic, complemented
4C89×#3327C211yesmaximal, characteristic, complemented
5C89×#3320C211yesmaximal, characteristic, complemented
6C89×#3316C211yesmaximal, characteristic, complemented
7C89×#3313C211yesmaximal, characteristic, complemented
8C89×#3312C211yesmaximal, characteristic, complemented
9C89×#3301C211yesmaximal, characteristic, complemented
10C89×#3299C211yesmaximal, characteristic, complemented
11D4×Q16×C89C211yesmaximal, characteristic, complemented
12C89×#3285C211yesmaximal, characteristic, complemented
13C89×#3277C211yesmaximal, characteristic, complemented
14C89×#3276C211yesmaximal, characteristic, complemented
15C89×#3270C211yesmaximal, characteristic, complemented
16C89×#3270C211yesmaximal, characteristic, complemented
17C89×#3270C211yesmaximal, characteristic, complemented
18C89×#3269C211yesmaximal, characteristic, complemented
19C89×#3225C211yesmaximal, characteristic, complemented
20C89×#3223C211yesmaximal, characteristic, complemented
21C89×#3202C211yesmaximal, characteristic, complemented
22C89×#3201C211yesmaximal, characteristic, complemented
23C89×#3196C211yesmaximal, characteristic, complemented
24C89×#3191C211yesmaximal, characteristic, complemented
25C89×#3127C211yesmaximal, characteristic, complemented
26C89×#3121C211yesmaximal, characteristic, complemented
27C89×#3013C211yesmaximal, characteristic, complemented
28C89×#3011C211yesmaximal, characteristic, complemented
29C89×#3004C211yesmaximal, characteristic, complemented
30C2×#451×C89C211yesmaximal, characteristic, complemented
31C89×#2976C211yesmaximal, characteristic, complemented
32C2×2−1+4×C89C2211yescharacteristic
33C23×Q8×C89C2211yescharacteristic
34C2×#137×C89C2211yescharacteristic
35C2×#137×C89C2211yescharacteristic
36C2×#137×C89C2211yescharacteristic, complemented
37C2×#137×C89C2211yescharacteristic, complemented
38C2×#135×C89C2211yescharacteristic, complemented
39C22×Q16×C89C2211yescharacteristic
40C22×Q16×C89C2211yescharacteristic
41C22×Q16×C89C2211yescharacteristic, complemented
42#563×C89—21no—
43#562×C89—21no—
44#556×C89C2211yescharacteristic
45#554×C89—21no—
46#554×C89C2211yescharacteristic
47#553×C89—21no—
48#553×C89C2211yescharacteristic
49#552×C89C2211yescharacteristic
50D4×Q8×C89—21no—
51D4×Q8×C89—21no—
52D4×Q8×C89C2211yescharacteristic
53D4×Q8×C89C2211yescharacteristic
54D4×Q8×C89C2211yescharacteristic
55D4×Q8×C89C2211yescharacteristic
56D4×Q8×C89C2211yescharacteristic
57#548×C89—21no—
58#548×C89—21no—
59#548×C89C2211yescharacteristic
60#548×C89C2211yescharacteristic
61#548×C89C2211yescharacteristic
62#548×C89C2211yescharacteristic
63#548×C89C2211yescharacteristic
64#548×C89C2211yescharacteristic
65#547×C89C2211yescharacteristic
66#542×C89—21no—
67#542×C89C2211yescharacteristic
68#541×C89C2211yescharacteristic
69#539×C89—21no—
70#538×C89—21no—
71#538×C89—21no—
72#537×C89C2211yescharacteristic
73#536×C89—21no—
74#536×C89—21no—
75#536×C89C2211yescharacteristic
76#536×C89C2211yescharacteristic
77#536×C89C2211yescharacteristic
78#525×C89—21no—
79#525×C89—21no—
80#525×C89C2211yescharacteristic
81#525×C89C2211yescharacteristic
82#525×C89C2211yescharacteristic
83C2×C22⋊Q8×C89C2211yescharacteristic
84#519×C89C2211yescharacteristic
85#497×C89C2211yescharacteristic, complemented
86#497×C89C2211yescharacteristic, complemented
87#495×C89C2211yescharacteristic, complemented
88#494×C89C2211yescharacteristic, complemented
89#491×C89C2211yescharacteristic, complemented
90#489×C89C2211yescharacteristic, complemented
91#488×C89C2211yescharacteristic, complemented
92#487×C89C2211yescharacteristic, complemented
93#485×C89C2211yescharacteristic
94#485×C89C2211yescharacteristic
95#485×C89C2211yescharacteristic
96#485×C89C2211yescharacteristic
97#485×C89C2211yescharacteristic, complemented
98#485×C89C2211yescharacteristic, complemented
99#484×C89C2211yescharacteristic
100#484×C89C2211yescharacteristic, complemented
101#483×C89C2211yescharacteristic, complemented
102#482×C89C2211yescharacteristic
103#482×C89C2211yescharacteristic
104#481×C89C2211yescharacteristic
105#479×C89C2211yescharacteristic, complemented
106#479×C89C2211yescharacteristic, complemented
107#477×C89C2211yescharacteristic, complemented
108#475×C89C2211yescharacteristic, complemented
109#470×C89C2211yescharacteristic
110#470×C89C2211yescharacteristic
111#470×C89C2211yescharacteristic, complemented
112#470×C89C2211yescharacteristic, complemented
113#470×C89C2211yescharacteristic, complemented
114#468×C89C2211yescharacteristic
115#468×C89C2211yescharacteristic
116#468×C89C2211yescharacteristic, complemented
117#467×C89C2211yescharacteristic
118#467×C89C2211yescharacteristic, complemented
119#467×C89C2211yescharacteristic, complemented
120#467×C89C2211yescharacteristic, complemented
121#466×C89C2211yescharacteristic
122#465×C89C2211yescharacteristic
123#465×C89C2211yescharacteristic
124#465×C89C2211yescharacteristic, complemented
125#464×C89C2211yescharacteristic, complemented
126#464×C89C2211yescharacteristic, complemented
127#464×C89C2211yescharacteristic, complemented
128#464×C89C2211yescharacteristic, complemented
129#464×C89C2211yescharacteristic, complemented
130#463×C89C2211yescharacteristic, complemented
131#462×C89C2211yescharacteristic, complemented
132#462×C89C2211yescharacteristic, complemented
133#462×C89C2211yescharacteristic, complemented
134#462×C89C2211yescharacteristic, complemented
135#462×C89C2211yescharacteristic, complemented
136#461×C89C2211yescharacteristic, complemented
137#452×C89C2211yescharacteristic
138#452×C89C2211yescharacteristic
139#452×C89C2211yescharacteristic
140#452×C89C2211yescharacteristic
141#452×C89C2211yescharacteristic, complemented
142#452×C89C2211yescharacteristic, complemented
143#452×C89C2211yescharacteristic, complemented
144#452×C89C2211yescharacteristic, complemented
145#452×C89C2211yescharacteristic, complemented
146#451×C89C2211yescharacteristic
147#451×C89C2211yescharacteristic
148#451×C89C2211yescharacteristic
149#451×C89C2211yescharacteristic
150#451×C89C2211yescharacteristic
151#451×C89C2211yescharacteristic
152#451×C89C2211yescharacteristic
153#451×C89C2211yescharacteristic
154#451×C89C2211yescharacteristic
155#451×C89C2211yescharacteristic
156#451×C89C2211yescharacteristic
157#451×C89C2211yescharacteristic
158#451×C89C2211yescharacteristic
159#451×C89C2211yescharacteristic, complemented
160#451×C89C2211yescharacteristic, complemented
161#451×C89C2211yescharacteristic, complemented
162#451×C89C2211yescharacteristic, complemented
163#451×C89C2211yescharacteristic, complemented
164#449×C89C2211yescharacteristic
165#449×C89C2211yescharacteristic
166#449×C89C2211yescharacteristic, complemented
167#448×C89C2211yescharacteristic
168#448×C89C2211yescharacteristic
169#448×C89C2211yescharacteristic
170#448×C89C2211yescharacteristic
171#448×C89C2211yescharacteristic
172#448×C89C2211yescharacteristic, complemented
173#441×C89C2211yescharacteristic, complemented
174#441×C89C2211yescharacteristic, complemented
175#441×C89C2211yescharacteristic, complemented
176#440×C89C2211yescharacteristic, complemented
177C4×Q16×C89C2211yescharacteristic, complemented
178C4×Q16×C89C2211yescharacteristic, complemented
179C4×Q16×C89C2211yescharacteristic, complemented
180C4×SD16×C89C2211yescharacteristic, complemented
181#436×C89C2211yescharacteristic
182#436×C89C2211yescharacteristic
183#435×C89C2211yescharacteristic
184#435×C89C2211yescharacteristic
185#435×C89C2211yescharacteristic
186#435×C89C2211yescharacteristic
187C8×D4×C89C2211yescharacteristic
188C8×D4×C89C2211yescharacteristic
189#433×C89C2211yescharacteristic
190#433×C89C2211yescharacteristic
191#419×C89C2211yescharacteristic
192#419×C89C2211yescharacteristic
193#419×C89C2211yescharacteristic, complemented
194#417×C89C2211yescharacteristic, complemented
195#416×C89C2211yescharacteristic, complemented
196C2×#103×C89C2211yescharacteristic
197C2×#103×C89C2211yescharacteristic
198C2×#103×C89C2211yescharacteristic, complemented
199#408×C89C2211yescharacteristic
200#408×C89C2211yescharacteristic
201#407×C89C2211yescharacteristic
202C2×C22⋊C8×C89C2211yescharacteristic
2032−1+4×C89—42no—
2042−1+4×C89—42no—
205C2×#41×C89—21no—
206C2×#41×C89—21no—
207C2×#41×C89—21no—
208C2×#41×C89C2311yescharacteristic
209C2×#41×C89C2311yescharacteristic
210C2×#41×C89C2311yescharacteristic
211C2×#41×C89C2311yescharacteristic
212C2×#41×C89C2311yescharacteristic
213C2×#41×C89C2311yescharacteristic
214C22×Q8×C89—21no—
215C22×Q8×C89—21no—
216C22×Q8×C89—21no—
217C22×Q8×C89—21no—
218C22×Q8×C89—42no—
219C22×Q8×C89—42no—
220C22×Q8×C89C2311yescharacteristic
221C22×Q8×C89C2311yescharacteristic
222C22×Q8×C89C2311yescharacteristic
223C22×Q8×C89C2311yescharacteristic
224C22×Q8×C89C2311yescharacteristic
225C22×Q8×C89C2311yescharacteristic
226C22×Q8×C89C2311yescharacteristic
227C22×Q8×C89C2311yescharacteristic
228C22×Q8×C89C2311yescharacteristic
229C22×Q8×C89C2311yescharacteristic
230C23×C4×C89—21no—
231C23×C4×C89C2311yescharacteristic
232#137×C89—42no—
233#137×C89—42no—
234#137×C89—42no—
235#137×C89—42no—
236#135×C89—42no—
237C2×Q16×C89—42no—
238C2×Q16×C89—42no—
239C2×Q16×C89—42no—
240C2×Q16×C89C2311yescharacteristic
241C2×Q16×C89C2311yescharacteristic
242C2×Q16×C89C2311yescharacteristic
243C2×Q16×C89C2311yescharacteristic
244C2×Q16×C89C2311yescharacteristic
245C2×Q16×C89C2311yescharacteristic
246C2×Q16×C89C2311yescharacteristic
247C2×Q16×C89C2311yescharacteristic
248C2×Q16×C89C2311yescharacteristic
249C2×Q16×C89C2311yescharacteristic
250C2×Q16×C89C2311yescharacteristic
251C2×Q16×C89C2311yescharacteristic
252C2×Q16×C89C2311yescharacteristic
253C2×Q16×C89C2311yescharacteristic
254C2×Q16×C89C2311yescharacteristic
255C2×SD16×C89C2311yescharacteristic
256C2×SD16×C89C2311yescharacteristic
257C2×SD16×C89C2311yescharacteristic
258C2×SD16×C89C2311yescharacteristic
259C2×SD16×C89C2311yescharacteristic
260C2×SD16×C89C2311yescharacteristic
261C2×SD16×C89C2311yescharacteristic
262C2×SD16×C89C2311yescharacteristic
263C2×D8×C89C2311yescharacteristic
264C2×M16×C89C2311yescharacteristic
265C2×M16×C89C2311yescharacteristic
266C2×M16×C89C2311yescharacteristic
267C2×M16×C89C2311yescharacteristic
268C22×C8×C89C2311yescharacteristic
269C22×C8×C89C2311yescharacteristic
270C22×C8×C89C2311yescharacteristic
271C22×C8×C89C2311yescharacteristic
272C4⋊Q8×C89—21no—
273C4⋊Q8×C89—21no—
274C4⋊Q8×C89—21no—
275C4⋊Q8×C89—21no—
276C4⋊Q8×C89—21no—
277C4⋊Q8×C89—21no—
278C4⋊Q8×C89—21no—
279C4⋊Q8×C89C2311yescharacteristic
280C4⋊Q8×C89C2311yescharacteristic
281C4⋊Q8×C89C2311yescharacteristic
282C4⋊Q8×C89C2311yescharacteristic
283#126×C89—21no—
284#126×C89—21no—
285#126×C89—21no—
286#126×C89—21no—
287#126×C89—21no—
288#126×C89—21no—
289#126×C89—21no—
290#125×C89—21no—
291#125×C89—21no—
292#125×C89—21no—
293#125×C89—21no—
294#125×C89C2311yescharacteristic
295#124×C89—21no—
296#124×C89—21no—
297#124×C89—21no—
298#124×C89—21no—
299#124×C89—21no—
300#124×C89—21no—
301#124×C89—21no—
302#124×C89—21no—
303#124×C89—21no—
304#124×C89—21no—
305#124×C89C2311yescharacteristic
306#124×C89C2311yescharacteristic
307#124×C89C2311yescharacteristic
308#123×C89—21no—
309#123×C89—21no—
310#123×C89—21no—
311#123×C89—21no—
312#123×C89—21no—
313#123×C89—21no—
314#123×C89—21no—
315#123×C89—21no—
316#123×C89—21no—
317#123×C89—21no—
318#123×C89—21no—
319#123×C89—21no—
320#123×C89—21no—
321#123×C89D411yescharacteristic
322#123×C89D411yescharacteristic
323C22⋊Q8×C89—21no—
324C22⋊Q8×C89—21no—
325C22⋊Q8×C89—21no—
326C22⋊Q8×C89—21no—
327C22⋊Q8×C89—21no—
328C22⋊Q8×C89—21no—
329C22⋊Q8×C89—21no—
330C22⋊Q8×C89—21no—
331C22⋊Q8×C89—21no—
332C22⋊Q8×C89—21no—
333C22⋊Q8×C89—21no—
334C22⋊Q8×C89—21no—
335C22⋊Q8×C89—21no—
336C22⋊Q8×C89—21no—
337C22⋊Q8×C89—21no—
338C22⋊Q8×C89—21no—
339C22⋊Q8×C89—21no—
340C22⋊Q8×C89—21no—
341C22⋊Q8×C89—21no—
342C22⋊Q8×C89—21no—
343C22⋊Q8×C89—21no—
344C22⋊Q8×C89—21no—
345C22⋊Q8×C89—21no—
346C22⋊Q8×C89—21no—
347C22⋊Q8×C89D411yescharacteristic
348C22⋊Q8×C89D411yescharacteristic
349C22⋊Q8×C89C2311yescharacteristic
350C22⋊Q8×C89C2311yescharacteristic
351C22⋊Q8×C89C2311yescharacteristic
352C22⋊Q8×C89C2311yescharacteristic
353C22⋊Q8×C89C2311yescharacteristic
354C22⋊Q8×C89C2311yescharacteristic
355C22⋊Q8×C89C2311yescharacteristic
356C22⋊Q8×C89C2311yescharacteristic
357C22⋊Q8×C89C2311yescharacteristic
358C22⋊Q8×C89C2311yescharacteristic
359C22⋊Q8×C89C2311yescharacteristic
360C22⋊Q8×C89C2311yescharacteristic
361C22⋊Q8×C89C2311yescharacteristic
362C22⋊Q8×C89C2311yescharacteristic
363C22⋊Q8×C89C2311yescharacteristic
364#121×C89—21no—
365#121×C89—21no—
366#121×C89—21no—
367#121×C89—21no—
368#121×C89—21no—
369#121×C89—21no—
370#121×C89—21no—
371#121×C89—21no—
372#121×C89—21no—
373#121×C89—21no—
374#121×C89—21no—
375#121×C89D411yescharacteristic
376#121×C89D411yescharacteristic
377#121×C89C2311yescharacteristic
378#121×C89C2311yescharacteristic
379#121×C89C2311yescharacteristic
380#121×C89C2311yescharacteristic
381#121×C89C2311yescharacteristic
382#120×C89—21no—
383#120×C89—21no—
384#120×C89D411yescharacteristic
385#120×C89D411yescharacteristic
386C4×Q8×C89—21no—
387C4×Q8×C89—21no—
388C4×Q8×C89—21no—
389C4×Q8×C89C2311yescharacteristic
390C4×Q8×C89C2311yescharacteristic
391C4×Q8×C89C2311yescharacteristic
392C4×Q8×C89C2311yescharacteristic
393C4×Q8×C89C2311yescharacteristic
394C4×Q8×C89C2311yescharacteristic
395C4×Q8×C89C2311yescharacteristic
396C4×D4×C89—21no—
397C4×D4×C89—21no—
398C4×D4×C89—21no—
399C4×D4×C89—21no—
400C4×D4×C89—21no—
401C4×D4×C89—21no—
402C4×D4×C89—21no—
403C4×D4×C89—21no—
404C4×D4×C89—21no—
405C4×D4×C89—21no—
406C4×D4×C89—21no—
407C4×D4×C89—21no—
408C4×D4×C89—21no—
409C4×D4×C89—21no—
410C4×D4×C89—21no—
411C4×D4×C89—21no—
412C4×D4×C89—21no—
413C4×D4×C89C2311yescharacteristic
414C4×D4×C89C2311yescharacteristic
415C4×D4×C89C2311yescharacteristic
416C4×D4×C89C2311yescharacteristic
417C4×D4×C89C2311yescharacteristic
418#117×C89—21no—
419#117×C89—21no—
420#117×C89—21no—
421#117×C89C2311yescharacteristic
422#117×C89C2311yescharacteristic
423#117×C89C2311yescharacteristic
424#117×C89C2311yescharacteristic
425C2×C4⋊C4×C89—21no—
426C2×C4⋊C4×C89—21no—
427C2×C4⋊C4×C89C2311yescharacteristic
428C2×C4⋊C4×C89C2311yescharacteristic
429C2×C22⋊C4×C89—21no—
430#107×C89C2311yescharacteristic
431#107×C89C2311yescharacteristic
432#107×C89C2311yescharacteristic
433#107×C89C2311yescharacteristic
434#106×C89C2311yescharacteristic
435#106×C89C2311yescharacteristic
436#106×C89C2311yescharacteristic
437#106×C89C2311yescharacteristic
438C4⋊C8×C89C2311yescharacteristic
439C4⋊C8×C89C2311yescharacteristic
440C4⋊C8×C89C2311yescharacteristic
441C4⋊C8×C89C2311yescharacteristic
442#103×C89C2311yescharacteristic
443#103×C89C2311yescharacteristic
444#103×C89C2311yescharacteristic
445#103×C89C2311yescharacteristic
446#103×C89C2311yescharacteristic
447#103×C89C2311yescharacteristic
448#103×C89C2311yescharacteristic
449#103×C89C2311yescharacteristic
450#103×C89C2311yescharacteristic
451#103×C89C2311yescharacteristic
452#103×C89C2311yescharacteristic
453#103×C89C2311yescharacteristic
454#103×C89C2311yescharacteristic
455#103×C89C2311yescharacteristic
456#103×C89C2311yescharacteristic
457#103×C89C2311yescharacteristic
458#103×C89C2311yescharacteristic
459#103×C89C2311yescharacteristic
460#103×C89C2311yescharacteristic
461#103×C89C2311yescharacteristic
462#103×C89C2311yescharacteristic
463#103×C89C2311yescharacteristic
464#103×C89C2311yescharacteristic
465#103×C89C2311yescharacteristic
466#103×C89C2311yescharacteristic
467#103×C89C2311yescharacteristic
468#102×C89C2311yescharacteristic
469#102×C89C2311yescharacteristic
470#102×C89C2311yescharacteristic
471#102×C89C2311yescharacteristic
472#102×C89C2311yescharacteristic
473#102×C89C2311yescharacteristic
474C22⋊C8×C89C2311yescharacteristic
475C22⋊C8×C89C2311yescharacteristic
476C22⋊C8×C89C2311yescharacteristic
477C22⋊C8×C89C2311yescharacteristic
478C22⋊C8×C89C2311yescharacteristic
479C22⋊C8×C89C2311yescharacteristic
480C22⋊C8×C89C2311yescharacteristic
481C22⋊C8×C89C2311yescharacteristic
482C22⋊C8×C89C2311yescharacteristic
483C22⋊C8×C89C2311yescharacteristic
484C22⋊C8×C89C2311yescharacteristic
485C22⋊C8×C89C2311yescharacteristic
486#97×C89C2311yescharacteristic
487#97×C89C2311yescharacteristic
488C4×C8×C89C2311yescharacteristic
489C4×C8×C89C2311yescharacteristic
490C24×C89C2×D411yescharacteristic
491#41×C89—22no—
492#41×C89—22no—
493#41×C89—41no—
494#41×C89—41no—
495#41×C89—41no—
496#41×C89—41no—
497#41×C89—41no—
498#41×C89—41no—
499#41×C89—44no—
500#41×C89—44no—
501#41×C89—41no—
502#41×C89—41no—
503#41×C89—41no—
504#41×C89—41no—
505#41×C89—44no—
506C2×Q8×C89—22no—
507C2×Q8×C89—22no—
508C2×Q8×C89—21no—
509C2×Q8×C89—21no—
510C2×Q8×C89—21no—
511C2×Q8×C89—21no—
512C2×Q8×C89—21no—
513C2×Q8×C89—21no—
514C2×Q8×C89—21no—
515C2×Q8×C89—21no—
516C2×Q8×C89—21no—
517C2×Q8×C89—21no—
518C2×Q8×C89—21no—
519C2×Q8×C89—22no—
520C2×Q8×C89—22no—
521C2×Q8×C89—22no—
522C2×Q8×C89—22no—
523C2×Q8×C89—22no—
524C2×Q8×C89—22no—
525C2×Q8×C89—41no—
526C2×Q8×C89—41no—
527C2×Q8×C89—41no—
528C2×Q8×C89—41no—
529C2×Q8×C89—41no—
530C2×Q8×C89—41no—
531C2×Q8×C89—41no—
532C2×Q8×C89—41no—
533C2×Q8×C89—44no—
534C2×Q8×C89—41no—
535C2×Q8×C89—41no—
536C2×Q8×C89—41no—
537C2×Q8×C89—41no—
538C2×Q8×C89—44no—
539C2×Q8×C89—44no—
540C2×Q8×C89—44no—
541C2×Q8×C89C2×D411yescharacteristic
542C2×Q8×C89C2411yescharacteristic
543C2×Q8×C89C2411yescharacteristic
544C2×Q8×C89C2411yescharacteristic
545C2×Q8×C89C2411yescharacteristic
546C2×Q8×C89C2411yescharacteristic
547C2×Q8×C89C2411yescharacteristic
548C2×Q8×C89C2411yescharacteristic
549C2×Q8×C89C2411yescharacteristic
550C2×D4×C89—21no—
551C2×D4×C89—21no—
552C2×D4×C89—21no—
553C2×D4×C89—21no—
554C2×D4×C89—21no—
555C2×D4×C89—21no—
556C2×D4×C89—21no—
557C2×D4×C89—21no—
558C2×D4×C89—21no—
559C2×D4×C89—21no—
560C2×D4×C89C2×D411yescharacteristic
561C2×D4×C89C2×D411yescharacteristic
562C2×D4×C89C2×D411yescharacteristic
563C2×D4×C89C2×D411yescharacteristic
564C2×D4×C89C2×D411yescharacteristic
565C2×D4×C89C2×D411yescharacteristic
566C2×D4×C89C2×D411yescharacteristic
567C2×D4×C89C2411yescharacteristic
568C2×D4×C89C2411yescharacteristic
569C22×C4×C89—21no—
570C22×C4×C89—21no—
571C22×C4×C89—21no—
572C22×C4×C89—21no—
573C22×C4×C89—21no—
574C22×C4×C89—21no—
575C22×C4×C89—21no—
576C22×C4×C89—21no—
577C22×C4×C89—21no—
578C22×C4×C89—21no—
579C22×C4×C89—21no—
580C22×C4×C89—21no—
581C22×C4×C89—21no—
582C22×C4×C89—21no—
583C22×C4×C89—21no—
584C22×C4×C89—21no—
585C22×C4×C89—21no—
586C22×C4×C89—21no—
587C22×C4×C89—41no—
588C22×C4×C89—41no—
589C22×C4×C89—44no—
590C22×C4×C89C2×D411yescharacteristic
591C22×C4×C89C2×D411yescharacteristic
592C22×C4×C89C2×D411yescharacteristic
593C22×C4×C89C2411yescharacteristic
594C22×C4×C89C2411yescharacteristic
595C22×C4×C89C2411yescharacteristic
596C22×C4×C89C2411yescharacteristic
597C22×C4×C89C2411yescharacteristic
598Q16×C89—22no—
599Q16×C89—22no—
600Q16×C89—22no—
601Q16×C89—22no—
602Q16×C89—22no—
603Q16×C89—22no—
604Q16×C89—41no—
605Q16×C89—41no—
606Q16×C89—41no—
607Q16×C89—41no—
608Q16×C89—41no—
609Q16×C89—41no—
610Q16×C89—41no—
611Q16×C89—41no—
612Q16×C89—41no—
613SD16×C89—22no—
614SD16×C89—22no—
615SD16×C89—41no—
616SD16×C89—41no—
617SD16×C89—41no—
618SD16×C89—41no—
619SD16×C89—41no—
620SD16×C89—41no—
621D8×C89—41no—
622M16×C89—41no—
623M16×C89—41no—
624M16×C89—41no—
625M16×C89—41no—
626C2×C8×C89—41no—
627C2×C8×C89—41no—
628C2×C8×C89—41no—
629C2×C8×C89—41no—
630C2×C8×C89C2411yescharacteristic
631C2×C8×C89C2411yescharacteristic
632C2×C8×C89C2411yescharacteristic
633C2×C8×C89C2411yescharacteristic
634C2×C8×C89C2411yescharacteristic
635C2×C8×C89C2411yescharacteristic
636C2×C8×C89C2411yescharacteristic
637C2×C8×C89C2411yescharacteristic
638C4⋊C4×C89—21no—
639C4⋊C4×C89—21no—
640C4⋊C4×C89—21no—
641C4⋊C4×C89—21no—
642C4⋊C4×C89—21no—
643C4⋊C4×C89—21no—
644C4⋊C4×C89—21no—
645C4⋊C4×C89—21no—
646C4⋊C4×C89—21no—
647C4⋊C4×C89—21no—
648C4⋊C4×C89—21no—
649C4⋊C4×C89—21no—
650C4⋊C4×C89—21no—
651C4⋊C4×C89—21no—
652C4⋊C4×C89—21no—
653C4⋊C4×C89—21no—
654C4⋊C4×C89—21no—
655C4⋊C4×C89—21no—
656C4⋊C4×C89—21no—
657C4⋊C4×C89—21no—
658C4⋊C4×C89—21no—
659C4⋊C4×C89—21no—
660C4⋊C4×C89—21no—
661C4⋊C4×C89—21no—
662C4⋊C4×C89—21no—
663C4⋊C4×C89—21no—
664C4⋊C4×C89—21no—
665C4⋊C4×C89—21no—
666C4⋊C4×C89—21no—
667C4⋊C4×C89—21no—
668C4⋊C4×C89—21no—
669C4⋊C4×C89—21no—
670C4⋊C4×C89—21no—
671C4⋊C4×C89C2×D411yescharacteristic
672C4⋊C4×C89C2×D411yescharacteristic
673C4⋊C4×C89C2×D411yescharacteristic
674C4⋊C4×C89C2×D411yescharacteristic
675C4⋊C4×C89C2×D411yescharacteristic
676C4⋊C4×C89C2×D411yescharacteristic
677C4⋊C4×C89C2411yescharacteristic
678C4⋊C4×C89C2411yescharacteristic
679C4⋊C4×C89C2411yescharacteristic
680C4⋊C4×C89C2411yescharacteristic
681C4⋊C4×C89C2411yescharacteristic
682C4⋊C4×C89C2411yescharacteristic
683C22⋊C4×C89—21no—
684C22⋊C4×C89—21no—
685C22⋊C4×C89—21no—
686C22⋊C4×C89—21no—
687C22⋊C4×C89—21no—
688C22⋊C4×C89—21no—
689C22⋊C4×C89—21no—
690C22⋊C4×C89—21no—
691C22⋊C4×C89—21no—
692C22⋊C4×C89—21no—
693C22⋊C4×C89—21no—
694C22⋊C4×C89—21no—
695C22⋊C4×C89—21no—
696C22⋊C4×C89—21no—
697C22⋊C4×C89—21no—
698C22⋊C4×C89—21no—
699C22⋊C4×C89—21no—
700C22⋊C4×C89—21no—
701C22⋊C4×C89—21no—
702C22⋊C4×C89—21no—
703C22⋊C4×C89—21no—
704C22⋊C4×C89—21no—
705C22⋊C4×C89—21no—
706C22⋊C4×C89—21no—
707C22⋊C4×C89—21no—
708C22⋊C4×C89—21no—
709C22⋊C4×C89—21no—
710C22⋊C4×C89—21no—
711C22⋊C4×C89—21no—
712C22⋊C4×C89—21no—
713C22⋊C4×C89C2×D411yescharacteristic
714C22⋊C4×C89C2×D411yescharacteristic
715C22⋊C4×C89C2×D411yescharacteristic
716C22⋊C4×C89C2×D411yescharacteristic
717C22⋊C4×C89C2×D411yescharacteristic
718C22⋊C4×C89C2×D411yescharacteristic
719C22⋊C4×C89C2×D411yescharacteristic
720C22⋊C4×C89C2×D411yescharacteristic
721C22⋊C4×C89C2×D411yescharacteristic
722C22⋊C4×C89C2×D411yescharacteristic
723C42×C89—21no—
724C42×C89—21no—
725C42×C89—21no—
726C42×C89—21no—
727C42×C89—21no—
728C42×C89—21no—
729C42×C89—21no—
730C42×C89—21no—
731C42×C89—21no—
732C42×C89—21no—
733C42×C89C2411yescharacteristic
734C42×C89C2411yescharacteristic
735C23×C89—22no—
736C23×C89—21no—
737C23×C89—21no—
738C23×C89—41no—
739C23×C89—41no—
740C23×C89C22×D411yescharacteristic
741C23×C89C22×D411yescharacteristic
742C23×C89C22×D411yescharacteristic
743C23×C89C22×D411yescharacteristic
744C23×C89C22×D411yescharacteristic
745Q8×C89—24no—
746Q8×C89—21no—
747Q8×C89—21no—
748Q8×C89—21no—
749Q8×C89—21no—
750Q8×C89—21no—
751Q8×C89—21no—
752Q8×C89—21no—
753Q8×C89—21no—
754Q8×C89—21no—
755Q8×C89—21no—
756Q8×C89—21no—
757Q8×C89—21no—
758Q8×C89—21no—
759Q8×C89—21no—
760Q8×C89—41no—
761Q8×C89—42no—
762Q8×C89—42no—
763Q8×C89—42no—
764Q8×C89—42no—
765Q8×C89—42no—
766Q8×C89—42no—
767Q8×C89—42no—
768Q8×C89—81no—
769Q8×C89—81no—
770Q8×C89—81no—
771Q8×C89H(5,𝔽2)12yes—
772Q8×C89H(5,𝔽2)12yes—
773D4×C89—22no—
774D4×C89—22no—
775D4×C89—21no—
776D4×C89—21no—
777D4×C89—21no—
778D4×C89—21no—
779D4×C89—41no—
780D4×C89—41no—
781D4×C89—41no—
782D4×C89—41no—
783D4×C89—41no—
784D4×C89—42no—
785D4×C89—42no—
786D4×C89—42no—
787D4×C89—42no—
788D4×C89—42no—
789D4×C89—42no—
790D4×C89—81no—
791D4×C89—81no—
792D4×C89—81no—
793D4×C89—81no—
794C2×C4×C89—24no—
795C2×C4×C89—21no—
796C2×C4×C89—21no—
797C2×C4×C89—21no—
798C2×C4×C89—21no—
799C2×C4×C89—21no—
800C2×C4×C89—21no—
801C2×C4×C89—21no—
802C2×C4×C89—21no—
803C2×C4×C89—21no—
804C2×C4×C89—21no—
805C2×C4×C89—21no—
806C2×C4×C89—21no—
807C2×C4×C89—21no—
808C2×C4×C89—21no—
809C2×C4×C89—21no—
810C2×C4×C89—21no—
811C2×C4×C89—21no—
812C2×C4×C89—21no—
813C2×C4×C89—21no—
814C2×C4×C89—21no—
815C2×C4×C89—21no—
816C2×C4×C89—21no—
817C2×C4×C89—21no—
818C2×C4×C89—21no—
819C2×C4×C89—41no—
820C2×C4×C89—41no—
821C2×C4×C89—41no—
822C2×C4×C89—42no—
823C2×C4×C89—42no—
824C2×C4×C89—42no—
825C2×C4×C89—42no—
826C2×C4×C89—42no—
827C2×C4×C89—42no—
828C2×C4×C89—42no—
829C2×C4×C89—42no—
830C2×C4×C89—42no—
831C2×C4×C89—42no—
832C2×C4×C89—81no—
833C2×C4×C89—81no—
834C2×C4×C89—81no—
835C2×C4×C89—81no—
836C2×C4×C89—81no—
837C2×C4×C89—81no—
838C2×C4×C89—81no—
839C2×C4×C89C22×D411yescharacteristic
840C2×C4×C89C22×D411yescharacteristic
841C2×C4×C89C22×D411yescharacteristic
842C2×C4×C89C22×D411yescharacteristic
843C2×C4×C89C22×D411yescharacteristic
844C2×C4×C89C22×D411yescharacteristic
845C2×C4×C89C22×D411yescharacteristic
846C2×C4×C89C22×D411yescharacteristic
847C2×C4×C89C22×D411yescharacteristic
848C2×C4×C89C2511yescharacteristic
849C8×C89—21no—
850C8×C89—21no—
851C8×C89—21no—
852C8×C89—21no—
853C8×C89—21no—
854C8×C89—21no—
855C8×C89—21no—
856C8×C89—21no—
857C22×C89—21no—
858C22×C89—21no—
859C22×C89—21no—
860C22×C89—21no—
861C22×C89—21no—
862C22×C89—21no—
863C22×C89—21no—
864C22×C89—21no—
865C22×C89—21no—
866C22×C89—21no—
867C22×C89—21no—
868C22×C89—21no—
869C22×C89—21no—
870C22×C89—21no—
871C22×C89—44no—
872C22×C89—41no—
873C22×C89—41no—
874C22×C89—41no—
875C22×C89—41no—
876C22×C89—41no—
877C22×C89—41no—
878C22×C89#57812yes—
879C22×C89C23×D411yescharacteristic
880C4×C89—21no—
881C4×C89—21no—
882C4×C89—22no—
883C4×C89—22no—
884C4×C89—21no—
885C4×C89—21no—
886C4×C89—21no—
887C4×C89—21no—
888C4×C89—21no—
889C4×C89—21no—
890C4×C89—21no—
891C4×C89—41no—
892C4×C89—41no—
893C4×C89—41no—
894C4×C89—41no—
895C4×C89—41no—
896C4×C89—41no—
897C4×C89—41no—
898C4×C89—41no—
899C4×C89—41no—
900C4×C89—41no—
901C4×C89—41no—
902C4×C89—41no—
903C4×C89C2×H(5,𝔽2)11yescharacteristic
904C4×C89C2×H(5,𝔽2)11yescharacteristic
905#61612C8911yesmaximal, characteristic, direct product factor, Sylow
906C2×C89—22no—
907C2×C89—41no—
908C2×C89—41no—
909C2×C89—41no—
910C2×C89—41no—
911C2×C89—81no—
912C2×C89—81no—
913C2×C89#348411yescharacteristic
914C2×C89C2×#57811yescharacteristic
915C2×C89#358611yescharacteristic
916#3541C2×C8911yescharacteristic, complemented
917#3486C2×C8911yescharacteristic, complemented
918#3328C2×C8911yescharacteristic, complemented
919#3327C2×C8911yescharacteristic, complemented
920#3320C2×C8911yescharacteristic, complemented
921#3316C2×C8911yescharacteristic, complemented
922#3313C2×C8911yescharacteristic, complemented
923#3312C2×C8911yescharacteristic, complemented
924#3301C2×C8911yescharacteristic, complemented
925#3299C2×C8911yescharacteristic, complemented
926D4×Q16C2×C8911yescharacteristic, complemented
927#3285C2×C8911yescharacteristic, complemented
928#3277C2×C8911yescharacteristic, complemented
929#3276C2×C8911yescharacteristic, complemented
930#3270C2×C8911yescharacteristic, complemented
931#3270C2×C8911yescharacteristic, complemented
932#3270C2×C8911yescharacteristic, complemented
933#3269C2×C8911yescharacteristic, complemented
934#3225C2×C8911yescharacteristic, complemented
935#3223C2×C8911yescharacteristic, complemented
936#3202C2×C8911yescharacteristic, complemented
937#3201C2×C8911yescharacteristic, complemented
938#3196C2×C8911yescharacteristic, complemented
939#3191C2×C8911yescharacteristic, complemented
940#3127C2×C8911yescharacteristic, complemented
941#3121C2×C8911yescharacteristic, complemented
942#3013C2×C8911yescharacteristic, complemented
943#3011C2×C8911yescharacteristic, complemented
944#3004C2×C8911yescharacteristic, complemented
945C2×#451C2×C8911yescharacteristic, complemented
946#2976C2×C8911yescharacteristic, complemented
947C89#6161211yescharacteristic, direct product factor, Sylow
948C2×2−1+4C22×C8911yescharacteristic
949C23×Q8C22×C8911yescharacteristic
950C2×#137C22×C8911yescharacteristic
951C2×#137C22×C8911yescharacteristic
952C2×#137C22×C8911yescharacteristic, complemented
953C2×#137C22×C8911yescharacteristic, complemented
954C2×#135C22×C8911yescharacteristic, complemented
955C22×Q16C22×C8911yescharacteristic
956C22×Q16C22×C8911yescharacteristic
957C22×Q16C22×C8911yescharacteristic, complemented
958#563—21no—
959#562—21no—
960#556C22×C8911yescharacteristic
961#554—21no—
962#554C22×C8911yescharacteristic
963#553—21no—
964#553C22×C8911yescharacteristic
965#552C22×C8911yescharacteristic
966D4×Q8—21no—
967D4×Q8—21no—
968D4×Q8C22×C8911yescharacteristic
969D4×Q8C22×C8911yescharacteristic
970D4×Q8C22×C8911yescharacteristic
971D4×Q8C22×C8911yescharacteristic
972D4×Q8C22×C8911yescharacteristic
973#548—21no—
974#548—21no—
975#548C22×C8911yescharacteristic
976#548C22×C8911yescharacteristic
977#548C22×C8911yescharacteristic
978#548C22×C8911yescharacteristic
979#548C22×C8911yescharacteristic
980#548C22×C8911yescharacteristic
981#547C22×C8911yescharacteristic
982#542—21no—
983#542C22×C8911yescharacteristic
984#541C22×C8911yescharacteristic
985#539—21no—
986#538—21no—
987#538—21no—
988#537C22×C8911yescharacteristic
989#536—21no—
990#536—21no—
991#536C22×C8911yescharacteristic
992#536C22×C8911yescharacteristic
993#536C22×C8911yescharacteristic
994#525—21no—
995#525—21no—
996#525C22×C8911yescharacteristic
997#525C22×C8911yescharacteristic
998#525C22×C8911yescharacteristic
999C2×C22⋊Q8C22×C8911yescharacteristic
1000#519C22×C8911yescharacteristic
1001#497C22×C8911yescharacteristic, complemented
1002#497C22×C8911yescharacteristic, complemented
1003#495C22×C8911yescharacteristic, complemented
1004#494C22×C8911yescharacteristic, complemented
1005#491C22×C8911yescharacteristic, complemented
1006#489C22×C8911yescharacteristic, complemented
1007#488C22×C8911yescharacteristic, complemented
1008#487C22×C8911yescharacteristic, complemented
1009#485C22×C8911yescharacteristic
1010#485C22×C8911yescharacteristic
1011#485C22×C8911yescharacteristic
1012#485C22×C8911yescharacteristic
1013#485C22×C8911yescharacteristic, complemented
1014#485C22×C8911yescharacteristic, complemented
1015#484C22×C8911yescharacteristic
1016#484C22×C8911yescharacteristic, complemented
1017#483C22×C8911yescharacteristic, complemented
1018#482C22×C8911yescharacteristic
1019#482C22×C8911yescharacteristic
1020#481C22×C8911yescharacteristic
1021#479C22×C8911yescharacteristic, complemented
1022#479C22×C8911yescharacteristic, complemented
1023#477C22×C8911yescharacteristic, complemented
1024#475C22×C8911yescharacteristic, complemented
1025#470C22×C8911yescharacteristic
1026#470C22×C8911yescharacteristic
1027#470C22×C8911yescharacteristic, complemented
1028#470C22×C8911yescharacteristic, complemented
1029#470C22×C8911yescharacteristic, complemented
1030#468C22×C8911yescharacteristic
1031#468C22×C8911yescharacteristic
1032#468C22×C8911yescharacteristic, complemented
1033#467C22×C8911yescharacteristic
1034#467C22×C8911yescharacteristic, complemented
1035#467C22×C8911yescharacteristic, complemented
1036#467C22×C8911yescharacteristic, complemented
1037#466C22×C8911yescharacteristic
1038#465C22×C8911yescharacteristic
1039#465C22×C8911yescharacteristic
1040#465C22×C8911yescharacteristic, complemented
1041#464C22×C8911yescharacteristic, complemented
1042#464C22×C8911yescharacteristic, complemented
1043#464C22×C8911yescharacteristic, complemented
1044#464C22×C8911yescharacteristic, complemented
1045#464C22×C8911yescharacteristic, complemented
1046#463C22×C8911yescharacteristic, complemented
1047#462C22×C8911yescharacteristic, complemented
1048#462C22×C8911yescharacteristic, complemented
1049#462C22×C8911yescharacteristic, complemented
1050#462C22×C8911yescharacteristic, complemented
1051#462C22×C8911yescharacteristic, complemented
1052#461C22×C8911yescharacteristic, complemented
1053#452C22×C8911yescharacteristic
1054#452C22×C8911yescharacteristic
1055#452C22×C8911yescharacteristic
1056#452C22×C8911yescharacteristic
1057#452C22×C8911yescharacteristic, complemented
1058#452C22×C8911yescharacteristic, complemented
1059#452C22×C8911yescharacteristic, complemented
1060#452C22×C8911yescharacteristic, complemented
1061#452C22×C8911yescharacteristic, complemented
1062#451C22×C8911yescharacteristic
1063#451C22×C8911yescharacteristic
1064#451C22×C8911yescharacteristic
1065#451C22×C8911yescharacteristic
1066#451C22×C8911yescharacteristic
1067#451C22×C8911yescharacteristic
1068#451C22×C8911yescharacteristic
1069#451C22×C8911yescharacteristic
1070#451C22×C8911yescharacteristic
1071#451C22×C8911yescharacteristic
1072#451C22×C8911yescharacteristic
1073#451C22×C8911yescharacteristic
1074#451C22×C8911yescharacteristic
1075#451C22×C8911yescharacteristic, complemented
1076#451C22×C8911yescharacteristic, complemented
1077#451C22×C8911yescharacteristic, complemented
1078#451C22×C8911yescharacteristic, complemented
1079#451C22×C8911yescharacteristic, complemented
1080#449C22×C8911yescharacteristic
1081#449C22×C8911yescharacteristic
1082#449C22×C8911yescharacteristic, complemented
1083#448C22×C8911yescharacteristic
1084#448C22×C8911yescharacteristic
1085#448C22×C8911yescharacteristic
1086#448C22×C8911yescharacteristic
1087#448C22×C8911yescharacteristic
1088#448C22×C8911yescharacteristic, complemented
1089#441C22×C8911yescharacteristic, complemented
1090#441C22×C8911yescharacteristic, complemented
1091#441C22×C8911yescharacteristic, complemented
1092#440C22×C8911yescharacteristic, complemented
1093C4×Q16C22×C8911yescharacteristic, complemented
1094C4×Q16C22×C8911yescharacteristic, complemented
1095C4×Q16C22×C8911yescharacteristic, complemented
1096C4×SD16C22×C8911yescharacteristic, complemented
1097#436C22×C8911yescharacteristic
1098#436C22×C8911yescharacteristic
1099#435C22×C8911yescharacteristic
1100#435C22×C8911yescharacteristic
1101#435C22×C8911yescharacteristic
1102#435C22×C8911yescharacteristic
1103C8×D4C22×C8911yescharacteristic
1104C8×D4C22×C8911yescharacteristic
1105#433C22×C8911yescharacteristic
1106#433C22×C8911yescharacteristic
1107#419C22×C8911yescharacteristic
1108#419C22×C8911yescharacteristic
1109#419C22×C8911yescharacteristic, complemented
1110#417C22×C8911yescharacteristic, complemented
1111#416C22×C8911yescharacteristic, complemented
1112C2×#103C22×C8911yescharacteristic
1113C2×#103C22×C8911yescharacteristic
1114C2×#103C22×C8911yescharacteristic, complemented
1115#408C22×C8911yescharacteristic
1116#408C22×C8911yescharacteristic
1117#407C22×C8911yescharacteristic
1118C2×C22⋊C8C22×C8911yescharacteristic
11192−1+4—42no—
11202−1+4—42no—
1121C2×#41—21no—
1122C2×#41—21no—
1123C2×#41—21no—
1124C2×#41C23×C8911yescharacteristic
1125C2×#41C23×C8911yescharacteristic
1126C2×#41C23×C8911yescharacteristic
1127C2×#41C23×C8911yescharacteristic
1128C2×#41C23×C8911yescharacteristic
1129C2×#41C23×C8911yescharacteristic
1130C22×Q8—21no—
1131C22×Q8—21no—
1132C22×Q8—21no—
1133C22×Q8—21no—
1134C22×Q8—42no—
1135C22×Q8—42no—
1136C22×Q8C23×C8911yescharacteristic
1137C22×Q8C23×C8911yescharacteristic
1138C22×Q8C23×C8911yescharacteristic
1139C22×Q8C23×C8911yescharacteristic
1140C22×Q8C23×C8911yescharacteristic
1141C22×Q8C23×C8911yescharacteristic
1142C22×Q8C23×C8911yescharacteristic
1143C22×Q8C23×C8911yescharacteristic
1144C22×Q8C23×C8911yescharacteristic
1145C22×Q8C23×C8911yescharacteristic
1146C23×C4—21no—
1147C23×C4C23×C8911yescharacteristic
1148#137—42no—
1149#137—42no—
1150#137—42no—
1151#137—42no—
1152#135—42no—
1153C2×Q16—42no—
1154C2×Q16—42no—
1155C2×Q16—42no—
1156C2×Q16C23×C8911yescharacteristic
1157C2×Q16C23×C8911yescharacteristic
1158C2×Q16C23×C8911yescharacteristic
1159C2×Q16C23×C8911yescharacteristic
1160C2×Q16C23×C8911yescharacteristic
1161C2×Q16C23×C8911yescharacteristic
1162C2×Q16C23×C8911yescharacteristic
1163C2×Q16C23×C8911yescharacteristic
1164C2×Q16C23×C8911yescharacteristic
1165C2×Q16C23×C8911yescharacteristic
1166C2×Q16C23×C8911yescharacteristic
1167C2×Q16C23×C8911yescharacteristic
1168C2×Q16C23×C8911yescharacteristic
1169C2×Q16C23×C8911yescharacteristic
1170C2×Q16C23×C8911yescharacteristic
1171C2×SD16C23×C8911yescharacteristic
1172C2×SD16C23×C8911yescharacteristic
1173C2×SD16C23×C8911yescharacteristic
1174C2×SD16C23×C8911yescharacteristic
1175C2×SD16C23×C8911yescharacteristic
1176C2×SD16C23×C8911yescharacteristic
1177C2×SD16C23×C8911yescharacteristic
1178C2×SD16C23×C8911yescharacteristic
1179C2×D8C23×C8911yescharacteristic
1180C2×M16C23×C8911yescharacteristic
1181C2×M16C23×C8911yescharacteristic
1182C2×M16C23×C8911yescharacteristic
1183C2×M16C23×C8911yescharacteristic
1184C22×C8C23×C8911yescharacteristic
1185C22×C8C23×C8911yescharacteristic
1186C22×C8C23×C8911yescharacteristic
1187C22×C8C23×C8911yescharacteristic
1188C4⋊Q8—21no—
1189C4⋊Q8—21no—
1190C4⋊Q8—21no—
1191C4⋊Q8—21no—
1192C4⋊Q8—21no—
1193C4⋊Q8—21no—
1194C4⋊Q8—21no—
1195C4⋊Q8C23×C8911yescharacteristic
1196C4⋊Q8C23×C8911yescharacteristic
1197C4⋊Q8C23×C8911yescharacteristic
1198C4⋊Q8C23×C8911yescharacteristic
1199#126—21no—
1200#126—21no—
1201#126—21no—
1202#126—21no—
1203#126—21no—
1204#126—21no—
1205#126—21no—
1206#125—21no—
1207#125—21no—
1208#125—21no—
1209#125—21no—
1210#125C23×C8911yescharacteristic
1211#124—21no—
1212#124—21no—
1213#124—21no—
1214#124—21no—
1215#124—21no—
1216#124—21no—
1217#124—21no—
1218#124—21no—
1219#124—21no—
1220#124—21no—
1221#124C23×C8911yescharacteristic
1222#124C23×C8911yescharacteristic
1223#124C23×C8911yescharacteristic
1224#123—21no—
1225#123—21no—
1226#123—21no—
1227#123—21no—
1228#123—21no—
1229#123—21no—
1230#123—21no—
1231#123—21no—
1232#123—21no—
1233#123—21no—
1234#123—21no—
1235#123—21no—
1236#123—21no—
1237#123D4×C8911yescharacteristic
1238#123D4×C8911yescharacteristic
1239C22⋊Q8—21no—
1240C22⋊Q8—21no—
1241C22⋊Q8—21no—
1242C22⋊Q8—21no—
1243C22⋊Q8—21no—
1244C22⋊Q8—21no—
1245C22⋊Q8—21no—
1246C22⋊Q8—21no—
1247C22⋊Q8—21no—
1248C22⋊Q8—21no—
1249C22⋊Q8—21no—
1250C22⋊Q8—21no—
1251C22⋊Q8—21no—
1252C22⋊Q8—21no—
1253C22⋊Q8—21no—
1254C22⋊Q8—21no—
1255C22⋊Q8—21no—
1256C22⋊Q8—21no—
1257C22⋊Q8—21no—
1258C22⋊Q8—21no—
1259C22⋊Q8—21no—
1260C22⋊Q8—21no—
1261C22⋊Q8—21no—
1262C22⋊Q8—21no—
1263C22⋊Q8D4×C8911yescharacteristic
1264C22⋊Q8D4×C8911yescharacteristic
1265C22⋊Q8C23×C8911yescharacteristic
1266C22⋊Q8C23×C8911yescharacteristic
1267C22⋊Q8C23×C8911yescharacteristic
1268C22⋊Q8C23×C8911yescharacteristic
1269C22⋊Q8C23×C8911yescharacteristic
1270C22⋊Q8C23×C8911yescharacteristic
1271C22⋊Q8C23×C8911yescharacteristic
1272C22⋊Q8C23×C8911yescharacteristic
1273C22⋊Q8C23×C8911yescharacteristic
1274C22⋊Q8C23×C8911yescharacteristic
1275C22⋊Q8C23×C8911yescharacteristic
1276C22⋊Q8C23×C8911yescharacteristic
1277C22⋊Q8C23×C8911yescharacteristic
1278C22⋊Q8C23×C8911yescharacteristic
1279C22⋊Q8C23×C8911yescharacteristic
1280#121—21no—
1281#121—21no—
1282#121—21no—
1283#121—21no—
1284#121—21no—
1285#121—21no—
1286#121—21no—
1287#121—21no—
1288#121—21no—
1289#121—21no—
1290#121—21no—
1291#121D4×C8911yescharacteristic
1292#121D4×C8911yescharacteristic
1293#121C23×C8911yescharacteristic
1294#121C23×C8911yescharacteristic
1295#121C23×C8911yescharacteristic
1296#121C23×C8911yescharacteristic
1297#121C23×C8911yescharacteristic
1298#120—21no—
1299#120—21no—
1300#120D4×C8911yescharacteristic
1301#120D4×C8911yescharacteristic
1302C4×Q8—21no—
1303C4×Q8—21no—
1304C4×Q8—21no—
1305C4×Q8C23×C8911yescharacteristic
1306C4×Q8C23×C8911yescharacteristic
1307C4×Q8C23×C8911yescharacteristic
1308C4×Q8C23×C8911yescharacteristic
1309C4×Q8C23×C8911yescharacteristic
1310C4×Q8C23×C8911yescharacteristic
1311C4×Q8C23×C8911yescharacteristic
1312C4×D4—21no—
1313C4×D4—21no—
1314C4×D4—21no—
1315C4×D4—21no—
1316C4×D4—21no—
1317C4×D4—21no—
1318C4×D4—21no—
1319C4×D4—21no—
1320C4×D4—21no—
1321C4×D4—21no—
1322C4×D4—21no—
1323C4×D4—21no—
1324C4×D4—21no—
1325C4×D4—21no—
1326C4×D4—21no—
1327C4×D4—21no—
1328C4×D4—21no—
1329C4×D4C23×C8911yescharacteristic
1330C4×D4C23×C8911yescharacteristic
1331C4×D4C23×C8911yescharacteristic
1332C4×D4C23×C8911yescharacteristic
1333C4×D4C23×C8911yescharacteristic
1334#117—21no—
1335#117—21no—
1336#117—21no—
1337#117C23×C8911yescharacteristic
1338#117C23×C8911yescharacteristic
1339#117C23×C8911yescharacteristic
1340#117C23×C8911yescharacteristic
1341C2×C4⋊C4—21no—
1342C2×C4⋊C4—21no—
1343C2×C4⋊C4C23×C8911yescharacteristic
1344C2×C4⋊C4C23×C8911yescharacteristic
1345C2×C22⋊C4—21no—
1346#107C23×C8911yescharacteristic
1347#107C23×C8911yescharacteristic
1348#107C23×C8911yescharacteristic
1349#107C23×C8911yescharacteristic
1350#106C23×C8911yescharacteristic
1351#106C23×C8911yescharacteristic
1352#106C23×C8911yescharacteristic
1353#106C23×C8911yescharacteristic
1354C4⋊C8C23×C8911yescharacteristic
1355C4⋊C8C23×C8911yescharacteristic
1356C4⋊C8C23×C8911yescharacteristic
1357C4⋊C8C23×C8911yescharacteristic
1358#103C23×C8911yescharacteristic
1359#103C23×C8911yescharacteristic
1360#103C23×C8911yescharacteristic
1361#103C23×C8911yescharacteristic
1362#103C23×C8911yescharacteristic
1363#103C23×C8911yescharacteristic
1364#103C23×C8911yescharacteristic
1365#103C23×C8911yescharacteristic
1366#103C23×C8911yescharacteristic
1367#103C23×C8911yescharacteristic
1368#103C23×C8911yescharacteristic
1369#103C23×C8911yescharacteristic
1370#103C23×C8911yescharacteristic
1371#103C23×C8911yescharacteristic
1372#103C23×C8911yescharacteristic
1373#103C23×C8911yescharacteristic
1374#103C23×C8911yescharacteristic
1375#103C23×C8911yescharacteristic
1376#103C23×C8911yescharacteristic
1377#103C23×C8911yescharacteristic
1378#103C23×C8911yescharacteristic
1379#103C23×C8911yescharacteristic
1380#103C23×C8911yescharacteristic
1381#103C23×C8911yescharacteristic
1382#103C23×C8911yescharacteristic
1383#103C23×C8911yescharacteristic
1384#102C23×C8911yescharacteristic
1385#102C23×C8911yescharacteristic
1386#102C23×C8911yescharacteristic
1387#102C23×C8911yescharacteristic
1388#102C23×C8911yescharacteristic
1389#102C23×C8911yescharacteristic
1390C22⋊C8C23×C8911yescharacteristic
1391C22⋊C8C23×C8911yescharacteristic
1392C22⋊C8C23×C8911yescharacteristic
1393C22⋊C8C23×C8911yescharacteristic
1394C22⋊C8C23×C8911yescharacteristic
1395C22⋊C8C23×C8911yescharacteristic
1396C22⋊C8C23×C8911yescharacteristic
1397C22⋊C8C23×C8911yescharacteristic
1398C22⋊C8C23×C8911yescharacteristic
1399C22⋊C8C23×C8911yescharacteristic
1400C22⋊C8C23×C8911yescharacteristic
1401C22⋊C8C23×C8911yescharacteristic
1402#97C23×C8911yescharacteristic
1403#97C23×C8911yescharacteristic
1404C4×C8C23×C8911yescharacteristic
1405C4×C8C23×C8911yescharacteristic
1406C24C2×D4×C8911yescharacteristic
1407#41—22no—
1408#41—22no—
1409#41—41no—
1410#41—41no—
1411#41—41no—
1412#41—41no—
1413#41—41no—
1414#41—41no—
1415#41—44no—
1416#41—44no—
1417#41—41no—
1418#41—41no—
1419#41—41no—
1420#41—41no—
1421#41—44no—
1422C2×Q8—22no—
1423C2×Q8—22no—
1424C2×Q8—21no—
1425C2×Q8—21no—
1426C2×Q8—21no—
1427C2×Q8—21no—
1428C2×Q8—21no—
1429C2×Q8—21no—
1430C2×Q8—21no—
1431C2×Q8—21no—
1432C2×Q8—21no—
1433C2×Q8—21no—
1434C2×Q8—21no—
1435C2×Q8—22no—
1436C2×Q8—22no—
1437C2×Q8—22no—
1438C2×Q8—22no—
1439C2×Q8—22no—
1440C2×Q8—22no—
1441C2×Q8—41no—
1442C2×Q8—41no—
1443C2×Q8—41no—
1444C2×Q8—41no—
1445C2×Q8—41no—
1446C2×Q8—41no—
1447C2×Q8—41no—
1448C2×Q8—41no—
1449C2×Q8—44no—
1450C2×Q8—41no—
1451C2×Q8—41no—
1452C2×Q8—41no—
1453C2×Q8—41no—
1454C2×Q8—44no—
1455C2×Q8—44no—
1456C2×Q8—44no—
1457C2×Q8C2×D4×C8911yescharacteristic
1458C2×Q8C24×C8911yescharacteristic
1459C2×Q8C24×C8911yescharacteristic
1460C2×Q8C24×C8911yescharacteristic
1461C2×Q8C24×C8911yescharacteristic
1462C2×Q8C24×C8911yescharacteristic
1463C2×Q8C24×C8911yescharacteristic
1464C2×Q8C24×C8911yescharacteristic
1465C2×Q8C24×C8911yescharacteristic
1466C2×D4—21no—
1467C2×D4—21no—
1468C2×D4—21no—
1469C2×D4—21no—
1470C2×D4—21no—
1471C2×D4—21no—
1472C2×D4—21no—
1473C2×D4—21no—
1474C2×D4—21no—
1475C2×D4—21no—
1476C2×D4C2×D4×C8911yescharacteristic
1477C2×D4C2×D4×C8911yescharacteristic
1478C2×D4C2×D4×C8911yescharacteristic
1479C2×D4C2×D4×C8911yescharacteristic
1480C2×D4C2×D4×C8911yescharacteristic
1481C2×D4C2×D4×C8911yescharacteristic
1482C2×D4C2×D4×C8911yescharacteristic
1483C2×D4C24×C8911yescharacteristic
1484C2×D4C24×C8911yescharacteristic
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×C4—21no—
1495C22×C4—21no—
1496C22×C4—21no—
1497C22×C4—21no—
1498C22×C4—21no—
1499C22×C4—21no—
1500C22×C4—21no—
1501C22×C4—21no—
1502C22×C4—21no—
1503C22×C4—41no—
1504C22×C4—41no—
1505C22×C4—44no—
1506C22×C4C2×D4×C8911yescharacteristic
1507C22×C4C2×D4×C8911yescharacteristic
1508C22×C4C2×D4×C8911yescharacteristic
1509C22×C4C24×C8911yescharacteristic
1510C22×C4C24×C8911yescharacteristic
1511C22×C4C24×C8911yescharacteristic
1512C22×C4C24×C8911yescharacteristic
1513C22×C4C24×C8911yescharacteristic
1514Q16—22no—
1515Q16—22no—
1516Q16—22no—
1517Q16—22no—
1518Q16—22no—
1519Q16—22no—
1520Q16—41no—
1521Q16—41no—
1522Q16—41no—
1523Q16—41no—
1524Q16—41no—
1525Q16—41no—
1526Q16—41no—
1527Q16—41no—
1528Q16—41no—
1529SD16—22no—
1530SD16—22no—
1531SD16—41no—
1532SD16—41no—
1533SD16—41no—
1534SD16—41no—
1535SD16—41no—
1536SD16—41no—
1537D8—41no—
1538M16—41no—
1539M16—41no—
1540M16—41no—
1541M16—41no—
1542C2×C8—41no—
1543C2×C8—41no—
1544C2×C8—41no—
1545C2×C8—41no—
1546C2×C8C24×C8911yescharacteristic
1547C2×C8C24×C8911yescharacteristic
1548C2×C8C24×C8911yescharacteristic
1549C2×C8C24×C8911yescharacteristic
1550C2×C8C24×C8911yescharacteristic
1551C2×C8C24×C8911yescharacteristic
1552C2×C8C24×C8911yescharacteristic
1553C2×C8C24×C8911yescharacteristic
1554C4⋊C4—21no—
1555C4⋊C4—21no—
1556C4⋊C4—21no—
1557C4⋊C4—21no—
1558C4⋊C4—21no—
1559C4⋊C4—21no—
1560C4⋊C4—21no—
1561C4⋊C4—21no—
1562C4⋊C4—21no—
1563C4⋊C4—21no—
1564C4⋊C4—21no—
1565C4⋊C4—21no—
1566C4⋊C4—21no—
1567C4⋊C4—21no—
1568C4⋊C4—21no—
1569C4⋊C4—21no—
1570C4⋊C4—21no—
1571C4⋊C4—21no—
1572C4⋊C4—21no—
1573C4⋊C4—21no—
1574C4⋊C4—21no—
1575C4⋊C4—21no—
1576C4⋊C4—21no—
1577C4⋊C4—21no—
1578C4⋊C4—21no—
1579C4⋊C4—21no—
1580C4⋊C4—21no—
1581C4⋊C4—21no—
1582C4⋊C4—21no—
1583C4⋊C4—21no—
1584C4⋊C4—21no—
1585C4⋊C4—21no—
1586C4⋊C4—21no—
1587C4⋊C4C2×D4×C8911yescharacteristic
1588C4⋊C4C2×D4×C8911yescharacteristic
1589C4⋊C4C2×D4×C8911yescharacteristic
1590C4⋊C4C2×D4×C8911yescharacteristic
1591C4⋊C4C2×D4×C8911yescharacteristic
1592C4⋊C4C2×D4×C8911yescharacteristic
1593C4⋊C4C24×C8911yescharacteristic
1594C4⋊C4C24×C8911yescharacteristic
1595C4⋊C4C24×C8911yescharacteristic
1596C4⋊C4C24×C8911yescharacteristic
1597C4⋊C4C24×C8911yescharacteristic
1598C4⋊C4C24×C8911yescharacteristic
1599C22⋊C4—21no—
1600C22⋊C4—21no—
1601C22⋊C4—21no—
1602C22⋊C4—21no—
1603C22⋊C4—21no—
1604C22⋊C4—21no—
1605C22⋊C4—21no—
1606C22⋊C4—21no—
1607C22⋊C4—21no—
1608C22⋊C4—21no—
1609C22⋊C4—21no—
1610C22⋊C4—21no—
1611C22⋊C4—21no—
1612C22⋊C4—21no—
1613C22⋊C4—21no—
1614C22⋊C4—21no—
1615C22⋊C4—21no—
1616C22⋊C4—21no—
1617C22⋊C4—21no—
1618C22⋊C4—21no—
1619C22⋊C4—21no—
1620C22⋊C4—21no—
1621C22⋊C4—21no—
1622C22⋊C4—21no—
1623C22⋊C4—21no—
1624C22⋊C4—21no—
1625C22⋊C4—21no—
1626C22⋊C4—21no—
1627C22⋊C4—21no—
1628C22⋊C4—21no—
1629C22⋊C4C2×D4×C8911yescharacteristic
1630C22⋊C4C2×D4×C8911yescharacteristic
1631C22⋊C4C2×D4×C8911yescharacteristic
1632C22⋊C4C2×D4×C8911yescharacteristic
1633C22⋊C4C2×D4×C8911yescharacteristic
1634C22⋊C4C2×D4×C8911yescharacteristic
1635C22⋊C4C2×D4×C8911yescharacteristic
1636C22⋊C4C2×D4×C8911yescharacteristic
1637C22⋊C4C2×D4×C8911yescharacteristic
1638C22⋊C4C2×D4×C8911yescharacteristic
1639C42—21no—
1640C42—21no—
1641C42—21no—
1642C42—21no—
1643C42—21no—
1644C42—21no—
1645C42—21no—
1646C42—21no—
1647C42—21no—
1648C42—21no—
1649C42C24×C8911yescharacteristic
1650C42C24×C8911yescharacteristic
1651C23—22no—
1652C23—21no—
1653C23—21no—
1654C23—41no—
1655C23—41no—
1656C23C22×D4×C8911yescharacteristic
1657C23C22×D4×C8911yescharacteristic
1658C23C22×D4×C8911yescharacteristic
1659C23C22×D4×C8911yescharacteristic
1660C23C22×D4×C8911yescharacteristic
1661Q8—24no—
1662Q8—21no—
1663Q8—21no—
1664Q8—21no—
1665Q8—21no—
1666Q8—21no—
1667Q8—21no—
1668Q8—21no—
1669Q8—21no—
1670Q8—21no—
1671Q8—21no—
1672Q8—21no—
1673Q8—21no—
1674Q8—21no—
1675Q8—21no—
1676Q8—41no—
1677Q8—42no—
1678Q8—42no—
1679Q8—42no—
1680Q8—42no—
1681Q8—42no—
1682Q8—42no—
1683Q8—42no—
1684Q8—81no—
1685Q8—81no—
1686Q8—81no—
1687Q8H(5,𝔽2)×C8912yes—
1688Q8H(5,𝔽2)×C8912yes—
1689D4—22no—
1690D4—22no—
1691D4—21no—
1692D4—21no—
1693D4—21no—
1694D4—21no—
1695D4—41no—
1696D4—41no—
1697D4—41no—
1698D4—41no—
1699D4—41no—
1700D4—42no—
1701D4—42no—
1702D4—42no—
1703D4—42no—
1704D4—42no—
1705D4—42no—
1706D4—81no—
1707D4—81no—
1708D4—81no—
1709D4—81no—
1710C2×C4—24no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—41no—
1736C2×C4—41no—
1737C2×C4—41no—
1738C2×C4—42no—
1739C2×C4—42no—
1740C2×C4—42no—
1741C2×C4—42no—
1742C2×C4—42no—
1743C2×C4—42no—
1744C2×C4—42no—
1745C2×C4—42no—
1746C2×C4—42no—
1747C2×C4—42no—
1748C2×C4—81no—
1749C2×C4—81no—
1750C2×C4—81no—
1751C2×C4—81no—
1752C2×C4—81no—
1753C2×C4—81no—
1754C2×C4—81no—
1755C2×C4C22×D4×C8911yescharacteristic
1756C2×C4C22×D4×C8911yescharacteristic
1757C2×C4C22×D4×C8911yescharacteristic
1758C2×C4C22×D4×C8911yescharacteristic
1759C2×C4C22×D4×C8911yescharacteristic
1760C2×C4C22×D4×C8911yescharacteristic
1761C2×C4C22×D4×C8911yescharacteristic
1762C2×C4C22×D4×C8911yescharacteristic
1763C2×C4C22×D4×C8911yescharacteristic
1764C2×C4C25×C8911yescharacteristic
1765C8—21no—
1766C8—21no—
1767C8—21no—
1768C8—21no—
1769C8—21no—
1770C8—21no—
1771C8—21no—
1772C8—21no—
1773C22—21no—
1774C22—21no—
1775C22—21no—
1776C22—21no—
1777C22—21no—
1778C22—21no—
1779C22—21no—
1780C22—21no—
1781C22—21no—
1782C22—21no—
1783C22—21no—
1784C22—21no—
1785C22—21no—
1786C22—21no—
1787C22—44no—
1788C22—41no—
1789C22—41no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—41no—
1794C22#578×C8912yes—
1795C22C23×D4×C8911yescharacteristic
1796C4—21no—
1797C4—21no—
1798C4—21no—
1799C4—21no—
1800C4—22no—
1801C4—22no—
1802C4—21no—
1803C4—21no—
1804C4—21no—
1805C4—21no—
1806C4—21no—
1807C4—41no—
1808C4—41no—
1809C4—41no—
1810C4—41no—
1811C4—41no—
1812C4—41no—
1813C4—41no—
1814C4—41no—
1815C4—41no—
1816C4—41no—
1817C4—41no—
1818C4—41no—
1819C4C2×H(5,𝔽2)×C8911yescharacteristic
1820C4C2×H(5,𝔽2)×C8911yescharacteristic
1821C2—22no—
1822C2—41no—
1823C2—41no—
1824C2—41no—
1825C2—41no—
1826C2—81no—
1827C2—81no—
1828C2C89×#348411yescharacteristic
1829C2C2×#578×C8911yescharacteristic
1830C2C89×#358611yescharacteristic
subgroupG/H
center, socleC22×C89C23×D4
commutator, Frattini, cosocleC2×C4C25×C89
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C89 ◁ #525×C89 ◁ G

Complements

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

NH ≅ G/Ntype
1. C89×#3541C2semidirect
2. C89×#3486C2semidirect
3. C89×#3328C2semidirect
4. C89×#3327C2semidirect
5. C89×#3320C2semidirect
6. C89×#3316C2semidirect
7. C89×#3313C2semidirect
8. C89×#3312C2semidirect
9. C89×#3301C2semidirect
10. C89×#3299C2semidirect
11. D4×Q16×C89C2semidirect
12. C89×#3285C2semidirect
13. C89×#3277C2semidirect
14. C89×#3276C2semidirect
15. C89×#3270C2semidirect
16. C89×#3270C2semidirect
17. C89×#3270C2semidirect
18. C89×#3269C2semidirect
19. C89×#3225C2semidirect
20. C89×#3223C2semidirect
21. C89×#3202C2semidirect
22. C89×#3201C2semidirect
23. C89×#3196C2semidirect
24. C89×#3191C2semidirect
25. C89×#3127C2semidirect
26. C89×#3121C2semidirect
27. C89×#3013C2semidirect
28. C89×#3011C2semidirect
29. C89×#3004C2semidirect
30. C2×#451×C89C2semidirect
31. C89×#2976C2semidirect
36. C2×#137×C89C22semidirect
37. C2×#137×C89C22semidirect
38. C2×#135×C89C22semidirect
41. C22×Q16×C89C22semidirect
85. #497×C89C22semidirect
86. #497×C89C22semidirect
87. #495×C89C22semidirect
88. #494×C89C22semidirect
89. #491×C89C22semidirect
90. #489×C89C22semidirect
91. #488×C89C22semidirect
92. #487×C89C22semidirect
97. #485×C89C22semidirect
98. #485×C89C22semidirect
100. #484×C89C22semidirect
101. #483×C89C22semidirect
105. #479×C89C22semidirect
106. #479×C89C22semidirect
107. #477×C89C22semidirect
108. #475×C89C22semidirect
111. #470×C89C22semidirect
112. #470×C89C22semidirect
113. #470×C89C22semidirect
116. #468×C89C22semidirect
118. #467×C89C22semidirect
119. #467×C89C22semidirect
120. #467×C89C22semidirect
124. #465×C89C22semidirect
125. #464×C89C22semidirect
126. #464×C89C22semidirect
127. #464×C89C22semidirect
128. #464×C89C22semidirect
129. #464×C89C22semidirect
130. #463×C89C22semidirect
131. #462×C89C22semidirect
132. #462×C89C22semidirect
133. #462×C89C22semidirect
134. #462×C89C22semidirect
135. #462×C89C22semidirect
136. #461×C89C22semidirect
141. #452×C89C22semidirect
142. #452×C89C22semidirect
143. #452×C89C22semidirect
144. #452×C89C22semidirect
145. #452×C89C22semidirect
159. #451×C89C22semidirect
160. #451×C89C22semidirect
161. #451×C89C22semidirect
162. #451×C89C22semidirect
163. #451×C89C22semidirect
166. #449×C89C22semidirect
172. #448×C89C22semidirect
173. #441×C89C22semidirect
174. #441×C89C22semidirect
175. #441×C89C22semidirect
176. #440×C89C22semidirect
177. C4×Q16×C89C22semidirect
178. C4×Q16×C89C22semidirect
179. C4×Q16×C89C22semidirect
180. C4×SD16×C89C22semidirect
193. #419×C89C22semidirect
194. #417×C89C22semidirect
195. #416×C89C22semidirect
198. C2×#103×C89C22semidirect
905. #61612C89direct (N × H)
916. #3541C2×C89semidirect
917. #3486C2×C89semidirect
918. #3328C2×C89semidirect
919. #3327C2×C89semidirect
920. #3320C2×C89semidirect
921. #3316C2×C89semidirect
922. #3313C2×C89semidirect
923. #3312C2×C89semidirect
924. #3301C2×C89semidirect
925. #3299C2×C89semidirect
926. D4×Q16C2×C89semidirect
927. #3285C2×C89semidirect
928. #3277C2×C89semidirect
929. #3276C2×C89semidirect
930. #3270C2×C89semidirect
931. #3270C2×C89semidirect
932. #3270C2×C89semidirect
933. #3269C2×C89semidirect
934. #3225C2×C89semidirect
935. #3223C2×C89semidirect
936. #3202C2×C89semidirect
937. #3201C2×C89semidirect
938. #3196C2×C89semidirect
939. #3191C2×C89semidirect
940. #3127C2×C89semidirect
941. #3121C2×C89semidirect
942. #3013C2×C89semidirect
943. #3011C2×C89semidirect
944. #3004C2×C89semidirect
945. C2×#451C2×C89semidirect
946. #2976C2×C89semidirect
947. C89#61612direct (N × H)
952. C2×#137C22×C89semidirect
953. C2×#137C22×C89semidirect
954. C2×#135C22×C89semidirect
957. C22×Q16C22×C89semidirect
1001. #497C22×C89semidirect
1002. #497C22×C89semidirect
1003. #495C22×C89semidirect
1004. #494C22×C89semidirect
1005. #491C22×C89semidirect
1006. #489C22×C89semidirect
1007. #488C22×C89semidirect
1008. #487C22×C89semidirect
1013. #485C22×C89semidirect
1014. #485C22×C89semidirect
1016. #484C22×C89semidirect
1017. #483C22×C89semidirect
1021. #479C22×C89semidirect
1022. #479C22×C89semidirect
1023. #477C22×C89semidirect
1024. #475C22×C89semidirect
1027. #470C22×C89semidirect
1028. #470C22×C89semidirect
1029. #470C22×C89semidirect
1032. #468C22×C89semidirect
1034. #467C22×C89semidirect
1035. #467C22×C89semidirect
1036. #467C22×C89semidirect
1040. #465C22×C89semidirect
1041. #464C22×C89semidirect
1042. #464C22×C89semidirect
1043. #464C22×C89semidirect
1044. #464C22×C89semidirect
1045. #464C22×C89semidirect
1046. #463C22×C89semidirect
1047. #462C22×C89semidirect
1048. #462C22×C89semidirect
1049. #462C22×C89semidirect
1050. #462C22×C89semidirect
1051. #462C22×C89semidirect
1052. #461C22×C89semidirect
1057. #452C22×C89semidirect
1058. #452C22×C89semidirect
1059. #452C22×C89semidirect
1060. #452C22×C89semidirect
1061. #452C22×C89semidirect
1075. #451C22×C89semidirect
1076. #451C22×C89semidirect
1077. #451C22×C89semidirect
1078. #451C22×C89semidirect
1079. #451C22×C89semidirect
1082. #449C22×C89semidirect
1088. #448C22×C89semidirect
1089. #441C22×C89semidirect
1090. #441C22×C89semidirect
1091. #441C22×C89semidirect
1092. #440C22×C89semidirect
1093. C4×Q16C22×C89semidirect
1094. C4×Q16C22×C89semidirect
1095. C4×Q16C22×C89semidirect
1096. C4×SD16C22×C89semidirect
1109. #419C22×C89semidirect
1110. #417C22×C89semidirect
1111. #416C22×C89semidirect
1114. C2×#103C22×C89semidirect

Maximal subgroups

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

subgroupindex
C89×#35412
C89×#34862
C89×#33282
C89×#33272
C89×#33202
C89×#33162
C89×#33132
C89×#33122
C89×#33012
C89×#32992
D4×Q16×C892
C89×#32852
C89×#32772
C89×#32762
C89×#32702
C89×#32692
C89×#32252
C89×#32232
C89×#32022
C89×#32012
C89×#31962
C89×#31912
C89×#31272
C89×#31212
C89×#30132
C89×#30112
C89×#30042
C2×#451×C892
C89×#29762
#6161289