Finite Group Databasebeta

← C89×#36775 #36414623

Subgroups — C89×#36775 #36414623

Order 22784.

2186 conjugacy classes of subgroups.

The subgroup lattice has 1638 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C89×#2849C211yesmaximal, characteristic, complemented
2C89×#2848C211yesmaximal, characteristic, complemented
3C89×#2782C211yesmaximal, characteristic, complemented
4C89×#2750C211yesmaximal, characteristic, complemented
5C89×#2746C211yesmaximal, characteristic, complemented
6C89×#2746C211yesmaximal, characteristic, complemented
7C89×#2743C211yesmaximal, characteristic, complemented
8C89×#2728C211yesmaximal, characteristic, complemented
9C89×#2708C211yesmaximal, characteristic, complemented
10C89×#2708C211yesmaximal, characteristic, complemented
11C89×#2706C211yesmaximal, characteristic, complemented
12C89×#2696C211yesmaximal, characteristic, complemented
13C89×#2695C211yesmaximal, characteristic, complemented
14C89×#2693C211yesmaximal, characteristic, complemented
15C89×#2693C211yesmaximal, characteristic, complemented
16C89×#2691C211yesmaximal, characteristic, complemented
17C89×#2687C211yesmaximal, characteristic, complemented
18C89×#2681C211yesmaximal, characteristic, complemented
19C89×#2646C211yesmaximal, characteristic, complemented
20C89×#2643C211yesmaximal, characteristic, complemented
21C89×#2505C211yesmaximal, characteristic, complemented
22C89×#2480C211yesmaximal, characteristic, complemented
23C89×#2450C211yesmaximal, characteristic, complemented
24C89×#2437C211yesmaximal, characteristic, complemented
25C89×#2418C211yesmaximal, characteristic, complemented
26C89×#2412C211yesmaximal, characteristic, complemented
27C89×#2410C211yesmaximal, characteristic
28C89×#2405C211yesmaximal, characteristic, complemented
29C89×#2321C211yesmaximal, characteristic, complemented
30C89×#2315C211yesmaximal, characteristic, complemented
31C2×#386×C89C211yesmaximal, characteristic, complemented
32C23×D4×C89C2211yescharacteristic
33C24×C4×C89C2211yescharacteristic
34C2×#126×C89C2211yescharacteristic, complemented
35C2×#123×C89C2211yescharacteristic
36C2×#123×C89C2211yescharacteristic
37C2×#123×C89C2211yescharacteristic, complemented
38C2×#123×C89C2211yescharacteristic, complemented
39C2×#123×C89C2211yescharacteristic, complemented
40C2×#123×C89C2211yescharacteristic, complemented
41C2×C22⋊Q8×C89C2211yescharacteristic
42C2×C22⋊Q8×C89C2211yescharacteristic, complemented
43C2×C22⋊Q8×C89C2211yescharacteristic, complemented
44C2×C22⋊Q8×C89C2211yescharacteristic, complemented
45C2×#121×C89C2211yescharacteristic
46C2×#121×C89C2211yescharacteristic
47C2×#120×C89C2211yescharacteristic
48C2×#120×C89C2211yescharacteristic
49C2×C4×D4×C89C2211yescharacteristic
50C22×C22⋊C4×C89C2211yescharacteristic
51C22×C22⋊C4×C89C2211yescharacteristic
52C22×C22⋊C4×C89C2211yescharacteristic
53C22×C22⋊C4×C89C2211yescharacteristic
54C22×C22⋊C4×C89C2211yescharacteristic
55#401×C89C2211yescharacteristic, complemented
56#400×C89C2211yescharacteristic, complemented
57#400×C89C2211yescharacteristic, complemented
58#400×C89C2211yescharacteristic, complemented
59#400×C89C2211yescharacteristic, complemented
60#400×C89C2211yescharacteristic, complemented
61#400×C89C2211yescharacteristic, complemented
62#400×C89C2211yescharacteristic, complemented
63#400×C89C2211yescharacteristic, complemented
64#400×C89C2211yescharacteristic, complemented
65#400×C89C2211yescharacteristic, complemented
66#400×C89C2211yescharacteristic, complemented
67#399×C89C2211yescharacteristic, complemented
68#399×C89C2211yescharacteristic, complemented
69#398×C89C2211yescharacteristic, complemented
70#398×C89C2211yescharacteristic, complemented
71#398×C89C2211yescharacteristic, complemented
72#398×C89C2211yescharacteristic, complemented
73#398×C89C2211yescharacteristic, complemented
74#398×C89C2211yescharacteristic, complemented
75#397×C89C2211yescharacteristic, complemented
76#397×C89C2211yescharacteristic, complemented
77#397×C89C2211yescharacteristic, complemented
78#397×C89C2211yescharacteristic, complemented
79#397×C89C2211yescharacteristic, complemented
80#397×C89C2211yescharacteristic, complemented
81#397×C89C2211yescharacteristic, complemented
82#397×C89C2211yescharacteristic, complemented
83#397×C89C2211yescharacteristic, complemented
84#396×C89C2211yescharacteristic, complemented
85#396×C89C2211yescharacteristic, complemented
86#396×C89C2211yescharacteristic, complemented
87#396×C89C2211yescharacteristic, complemented
88#396×C89C2211yescharacteristic, complemented
89#394×C89C2211yescharacteristic
90#394×C89C2211yescharacteristic
91#394×C89C2211yescharacteristic
92#394×C89C2211yescharacteristic
93#394×C89C2211yescharacteristic
94#394×C89C2211yescharacteristic
95#394×C89C2211yescharacteristic, complemented
96#394×C89C2211yescharacteristic, complemented
97#394×C89C2211yescharacteristic, complemented
98#394×C89C2211yescharacteristic, complemented
99#393×C89C2211yescharacteristic, complemented
100#393×C89C2211yescharacteristic, complemented
101#392×C89C2211yescharacteristic
102#392×C89C2211yescharacteristic
103#391×C89C2211yescharacteristic, complemented
104#390×C89C2211yescharacteristic, complemented
105#390×C89C2211yescharacteristic, complemented
106#389×C89C2211yescharacteristic, complemented
107#388×C89C2211yescharacteristic, complemented
108#388×C89C2211yescharacteristic, complemented
109#388×C89C2211yescharacteristic, complemented
110#388×C89C2211yescharacteristic, complemented
111#388×C89C2211yescharacteristic, complemented
112#388×C89C2211yescharacteristic, complemented
113#388×C89C2211yescharacteristic, complemented
114#388×C89C2211yescharacteristic, complemented
115#388×C89C2211yescharacteristic, complemented
116#387×C89C2211yescharacteristic, complemented
117#387×C89C2211yescharacteristic, complemented
118#387×C89C2211yescharacteristic, complemented
119#386×C89C2211yescharacteristic
120#386×C89C2211yescharacteristic
121#386×C89C2211yescharacteristic
122#386×C89C2211yescharacteristic
123#386×C89C2211yescharacteristic
124#386×C89C2211yescharacteristic
125#386×C89C2211yescharacteristic
126#386×C89C2211yescharacteristic
127#386×C89C2211yescharacteristic
128#386×C89C2211yescharacteristic
129#386×C89C2211yescharacteristic
130#386×C89C2211yescharacteristic
131#386×C89C2211yescharacteristic
132#386×C89C2211yescharacteristic
133#386×C89C2211yescharacteristic
134#386×C89C2211yescharacteristic
135#386×C89C2211yescharacteristic, complemented
136#386×C89C2211yescharacteristic, complemented
137#386×C89C2211yescharacteristic, complemented
138#386×C89C2211yescharacteristic, complemented
139#386×C89C2211yescharacteristic, complemented
140#386×C89C2211yescharacteristic, complemented
141#385×C89C2211yescharacteristic
142#385×C89C2211yescharacteristic
143#385×C89C2211yescharacteristic
144#385×C89C2211yescharacteristic
145#385×C89C2211yescharacteristic
146#385×C89C2211yescharacteristic
147#385×C89C2211yescharacteristic
148#385×C89C2211yescharacteristic
149#385×C89C2211yescharacteristic
150#385×C89C2211yescharacteristic
151#385×C89C2211yescharacteristic, complemented
152#385×C89C2211yescharacteristic, complemented
153#385×C89C2211yescharacteristic, complemented
154#385×C89C2211yescharacteristic, complemented
155#385×C89C2211yescharacteristic, complemented
156#385×C89C2211yescharacteristic, complemented
157#385×C89C2211yescharacteristic, complemented
158#385×C89C2211yescharacteristic, complemented
159#385×C89C2211yescharacteristic, complemented
160#385×C89C2211yescharacteristic, complemented
161#385×C89C2211yescharacteristic, complemented
162#385×C89C2211yescharacteristic, complemented
163#385×C89C2211yescharacteristic, complemented
164#385×C89C2211yescharacteristic, complemented
165#382×C89C2211yescharacteristic, complemented
166#381×C89C2211yescharacteristic, complemented
167#381×C89C2211yescharacteristic, complemented
168#381×C89C2211yescharacteristic, complemented
169#380×C89C2211yescharacteristic
170#380×C89C2211yescharacteristic
171#380×C89C2211yescharacteristic
172#380×C89C2211yescharacteristic, complemented
173#380×C89C2211yescharacteristic, complemented
174#380×C89C2211yescharacteristic, complemented
175#380×C89C2211yescharacteristic, complemented
176#380×C89C2211yescharacteristic, complemented
177#380×C89C2211yescharacteristic, complemented
178#380×C89C2211yescharacteristic, complemented
179#380×C89C2211yescharacteristic, complemented
180#379×C89C2211yescharacteristic
181#379×C89C2211yescharacteristic
182#379×C89C2211yescharacteristic
183#379×C89C2211yescharacteristic
184C4×C22⋊C4×C89C2211yescharacteristic
185C2×#95×C89C2211yescharacteristic
186C2×#95×C89C2211yescharacteristic
187C25×C89C2311yescharacteristic
188C25×C89C2311yescharacteristic
189C22×Q8×C89C2311yescharacteristic
190C22×D4×C89—24no—
191C22×D4×C89—42no—
192C22×D4×C89—42no—
193C22×D4×C89C2311yescharacteristic
194C22×D4×C89C2311yescharacteristic
195C22×D4×C89C2311yescharacteristic
196C22×D4×C89C2311yescharacteristic
197C22×D4×C89C2311yescharacteristic
198C22×D4×C89C2311yescharacteristic
199C22×D4×C89C2311yescharacteristic
200C22×D4×C89C2311yescharacteristic
201C22×D4×C89C2311yescharacteristic
202C23×C4×C89—42no—
203C23×C4×C89—42no—
204C23×C4×C89—42no—
205C23×C4×C89C2311yescharacteristic
206C23×C4×C89C2311yescharacteristic
207C23×C4×C89C2311yescharacteristic
208C23×C4×C89C2311yescharacteristic
209C23×C4×C89C2311yescharacteristic
210C23×C4×C89C2311yescharacteristic
211C23×C4×C89C2311yescharacteristic
212C23×C4×C89C2311yescharacteristic
213C23×C4×C89C2311yescharacteristic
214C23×C4×C89C2311yescharacteristic
215C23×C4×C89C2311yescharacteristic
216C23×C4×C89C2311yescharacteristic
217C23×C4×C89C2311yescharacteristic
218C23×C4×C89C2311yescharacteristic
219#126×C89—42no—
220#123×C89—42no—
221#123×C89—42no—
222#123×C89—42no—
223#123×C89—42no—
224#123×C89—42no—
225#123×C89—42no—
226C22⋊Q8×C89—42no—
227C22⋊Q8×C89—42no—
228C22⋊Q8×C89—42no—
229C22⋊Q8×C89—42no—
230#121×C89—42no—
231#121×C89—42no—
232#120×C89—24no—
233#120×C89—42no—
234C4×D4×C89—42no—
235C2×C4⋊C4×C89C2311yescharacteristic
236C2×C4⋊C4×C89C2311yescharacteristic
237C2×C4⋊C4×C89C2311yescharacteristic
238C2×C4⋊C4×C89C2311yescharacteristic
239C2×C4⋊C4×C89C2311yescharacteristic
240C2×C4⋊C4×C89C2311yescharacteristic
241C2×C4⋊C4×C89C2311yescharacteristic
242C2×C4⋊C4×C89C2311yescharacteristic
243C2×C4⋊C4×C89C2311yescharacteristic
244C2×C4⋊C4×C89C2311yescharacteristic
245C2×C4⋊C4×C89C2311yescharacteristic
246C2×C4⋊C4×C89C2311yescharacteristic
247C2×C4⋊C4×C89C2311yescharacteristic
248C2×C4⋊C4×C89C2311yescharacteristic
249C2×C4⋊C4×C89C2311yescharacteristic
250C2×C4⋊C4×C89C2311yescharacteristic
251C2×C4⋊C4×C89C2311yescharacteristic
252C2×C4⋊C4×C89C2311yescharacteristic
253C2×C4⋊C4×C89C2311yescharacteristic
254C2×C4⋊C4×C89C2311yescharacteristic
255C2×C4⋊C4×C89C2311yescharacteristic
256C2×C4⋊C4×C89C2311yescharacteristic
257C2×C4⋊C4×C89C2311yescharacteristic
258C2×C4⋊C4×C89C2311yescharacteristic
259C2×C4⋊C4×C89C2311yescharacteristic
260C2×C4⋊C4×C89C2311yescharacteristic
261C2×C4⋊C4×C89C2311yescharacteristic
262C2×C4⋊C4×C89C2311yescharacteristic
263C2×C4⋊C4×C89C2311yescharacteristic
264C2×C4⋊C4×C89C2311yescharacteristic
265C2×C22⋊C4×C89—24no—
266C2×C22⋊C4×C89—42no—
267C2×C22⋊C4×C89—42no—
268C2×C22⋊C4×C89—42no—
269C2×C22⋊C4×C89—42no—
270C2×C22⋊C4×C89C2311yescharacteristic
271C2×C22⋊C4×C89C2311yescharacteristic
272C2×C22⋊C4×C89C2311yescharacteristic
273C2×C22⋊C4×C89C2311yescharacteristic
274C2×C22⋊C4×C89C2311yescharacteristic
275C2×C22⋊C4×C89C2311yescharacteristic
276C2×C22⋊C4×C89C2311yescharacteristic
277C2×C22⋊C4×C89C2311yescharacteristic
278C2×C22⋊C4×C89C2311yescharacteristic
279C2×C22⋊C4×C89C2311yescharacteristic
280C2×C22⋊C4×C89C2311yescharacteristic
281C2×C22⋊C4×C89C2311yescharacteristic
282C2×C22⋊C4×C89C2311yescharacteristic
283C2×C22⋊C4×C89C2311yescharacteristic
284C2×C22⋊C4×C89C2311yescharacteristic
285C2×C22⋊C4×C89C2311yescharacteristic
286C2×C22⋊C4×C89C2311yescharacteristic
287C2×C22⋊C4×C89C2311yescharacteristic
288C2×C22⋊C4×C89C2311yescharacteristic
289C2×C22⋊C4×C89C2311yescharacteristic
290C2×C22⋊C4×C89C2311yescharacteristic
291C2×C22⋊C4×C89C2311yescharacteristic
292C2×C22⋊C4×C89C2311yescharacteristic
293C2×C22⋊C4×C89C2311yescharacteristic
294C2×C22⋊C4×C89C2311yescharacteristic
295C2×C22⋊C4×C89C2311yescharacteristic
296C2×C22⋊C4×C89C2311yescharacteristic
297C2×C22⋊C4×C89C2311yescharacteristic
298C2×C22⋊C4×C89C2311yescharacteristic
299C2×C22⋊C4×C89C2311yescharacteristic
300C2×C22⋊C4×C89C2311yescharacteristic
301C2×C22⋊C4×C89C2311yescharacteristic
302C2×C22⋊C4×C89C2311yescharacteristic
303C2×C22⋊C4×C89C2311yescharacteristic
304C2×C22⋊C4×C89C2311yescharacteristic
305C2×C22⋊C4×C89C2311yescharacteristic
306C2×C22⋊C4×C89C2311yescharacteristic
307C2×C22⋊C4×C89C2311yescharacteristic
308C2×C22⋊C4×C89C2311yescharacteristic
309C2×C22⋊C4×C89C2311yescharacteristic
310C2×C22⋊C4×C89C2311yescharacteristic
311C2×C22⋊C4×C89C2311yescharacteristic
312C2×C22⋊C4×C89C2311yescharacteristic
313C2×C22⋊C4×C89C2311yescharacteristic
314C2×C22⋊C4×C89C2311yescharacteristic
315C2×C22⋊C4×C89C2311yescharacteristic
316C2×C22⋊C4×C89C2311yescharacteristic
317C2×C22⋊C4×C89C2311yescharacteristic
318C2×C22⋊C4×C89C2311yescharacteristic
319C2×C22⋊C4×C89C2311yescharacteristic
320C2×C22⋊C4×C89C2311yescharacteristic
321C2×C22⋊C4×C89C2311yescharacteristic
322C2×C42×C89C2311yescharacteristic
323C2×C42×C89C2311yescharacteristic
324C2×C42×C89C2311yescharacteristic
325#95×C89C2311yescharacteristic
326#95×C89C2311yescharacteristic
327#95×C89C2311yescharacteristic
328#95×C89C2311yescharacteristic
329#95×C89C2311yescharacteristic
330#95×C89C2311yescharacteristic
331#95×C89C2311yescharacteristic
332#95×C89C2311yescharacteristic
333#95×C89C2311yescharacteristic
334#95×C89C2311yescharacteristic
335#95×C89C2311yescharacteristic
336#95×C89C2311yescharacteristic
337#95×C89C2311yescharacteristic
338#95×C89C2311yescharacteristic
339#95×C89C2311yescharacteristic
340#95×C89C2311yescharacteristic
341#95×C89C2311yescharacteristic
342#95×C89C2311yescharacteristic
343#95×C89C2311yescharacteristic
344#95×C89C2311yescharacteristic
345#95×C89C2311yescharacteristic
346#95×C89C2311yescharacteristic
347#95×C89C2311yescharacteristic
348#95×C89C2311yescharacteristic
349#95×C89C2311yescharacteristic
350#95×C89C2311yescharacteristic
351#95×C89C2311yescharacteristic
352#95×C89C2311yescharacteristic
353#95×C89C2311yescharacteristic
354#95×C89C2311yescharacteristic
355#95×C89C2311yescharacteristic
356#95×C89C2311yescharacteristic
357#95×C89C2311yescharacteristic
358#95×C89C2311yescharacteristic
359#95×C89C2311yescharacteristic
360#95×C89C2311yescharacteristic
361#95×C89C2311yescharacteristic
362#95×C89C2311yescharacteristic
363#95×C89C2311yescharacteristic
364#95×C89C2311yescharacteristic
365#95×C89C2311yescharacteristic
366#95×C89C2311yescharacteristic
367#95×C89C2311yescharacteristic
368#95×C89C2311yescharacteristic
369C24×C89—22no—
370C24×C89—22no—
371C24×C89—22no—
372C24×C89—22no—
373C24×C89—22no—
374C24×C89—22no—
375C24×C89—22no—
376C24×C89—41no—
377C24×C89—41no—
378C24×C89—41no—
379C24×C89—41no—
380C24×C89—41no—
381C24×C89—41no—
382C24×C89#4114yes—
383C24×C89C2411yescharacteristic
384C24×C89C2411yescharacteristic
385C24×C89C2411yescharacteristic
386C24×C89C2411yescharacteristic
387C24×C89C2411yescharacteristic
388C24×C89C2411yescharacteristic
389C2×Q8×C89—22no—
390C2×Q8×C89—41no—
391C2×Q8×C89—41no—
392C2×D4×C89—22no—
393C2×D4×C89—22no—
394C2×D4×C89—22no—
395C2×D4×C89—22no—
396C2×D4×C89—22no—
397C2×D4×C89—22no—
398C2×D4×C89—22no—
399C2×D4×C89—22no—
400C2×D4×C89—22no—
401C2×D4×C89—22no—
402C2×D4×C89—22no—
403C2×D4×C89—22no—
404C2×D4×C89—22no—
405C2×D4×C89—22no—
406C2×D4×C89—22no—
407C2×D4×C89—41no—
408C2×D4×C89—41no—
409C2×D4×C89—41no—
410C2×D4×C89—41no—
411C2×D4×C89—41no—
412C2×D4×C89—41no—
413C2×D4×C89—41no—
414C2×D4×C89—41no—
415C2×D4×C89—41no—
416C2×D4×C89—41no—
417C2×D4×C89—41no—
418C2×D4×C89—41no—
419C2×D4×C89—416no—
420C22×C4×C89—22no—
421C22×C4×C89—22no—
422C22×C4×C89—22no—
423C22×C4×C89—22no—
424C22×C4×C89—22no—
425C22×C4×C89—22no—
426C22×C4×C89—22no—
427C22×C4×C89—22no—
428C22×C4×C89—22no—
429C22×C4×C89—22no—
430C22×C4×C89—22no—
431C22×C4×C89—22no—
432C22×C4×C89—41no—
433C22×C4×C89—41no—
434C22×C4×C89—41no—
435C22×C4×C89—41no—
436C22×C4×C89—41no—
437C22×C4×C89—41no—
438C22×C4×C89—41no—
439C22×C4×C89—41no—
440C22×C4×C89—41no—
441C22×C4×C89—41no—
442C22×C4×C89—41no—
443C22×C4×C89—41no—
444C22×C4×C89—41no—
445C22×C4×C89—41no—
446C22×C4×C89—41no—
447C22×C4×C89—41no—
448C22×C4×C89—41no—
449C22×C4×C89—41no—
450C22×C4×C89—41no—
451C22×C4×C89—41no—
452C22×C4×C89—41no—
453C22×C4×C89—41no—
454C22×C4×C89—41no—
455C22×C4×C89—41no—
456C22×C4×C89—41no—
457C22×C4×C89—41no—
458C22×C4×C89—41no—
459C22×C4×C89—41no—
460C22×C4×C89—41no—
461C22×C4×C89—41no—
462C22×C4×C89—416no—
463C22×C4×C89C2411yescharacteristic
464C22×C4×C89C2411yescharacteristic
465C22×C4×C89C2411yescharacteristic
466C22×C4×C89C2411yescharacteristic
467C22×C4×C89C2411yescharacteristic
468C22×C4×C89C2411yescharacteristic
469C22×C4×C89C2411yescharacteristic
470C22×C4×C89C2411yescharacteristic
471C22×C4×C89C2411yescharacteristic
472C22×C4×C89C2411yescharacteristic
473C22×C4×C89C2411yescharacteristic
474C22×C4×C89C2411yescharacteristic
475C22×C4×C89C2411yescharacteristic
476C22×C4×C89C2411yescharacteristic
477C22×C4×C89C2411yescharacteristic
478C22×C4×C89C2411yescharacteristic
479C22×C4×C89C2411yescharacteristic
480C22×C4×C89C2411yescharacteristic
481C22×C4×C89C2411yescharacteristic
482C22×C4×C89C2411yescharacteristic
483C22×C4×C89C2411yescharacteristic
484C22×C4×C89C2411yescharacteristic
485C22×C4×C89C2411yescharacteristic
486C22×C4×C89C2411yescharacteristic
487C22×C4×C89C2411yescharacteristic
488C4⋊C4×C89—22no—
489C4⋊C4×C89—22no—
490C4⋊C4×C89—41no—
491C4⋊C4×C89—41no—
492C4⋊C4×C89—41no—
493C4⋊C4×C89—41no—
494C4⋊C4×C89—41no—
495C4⋊C4×C89—41no—
496C4⋊C4×C89—41no—
497C4⋊C4×C89—41no—
498C4⋊C4×C89—41no—
499C4⋊C4×C89—41no—
500C4⋊C4×C89—41no—
501C4⋊C4×C89—41no—
502C4⋊C4×C89—41no—
503C4⋊C4×C89—41no—
504C4⋊C4×C89—41no—
505C4⋊C4×C89—41no—
506C4⋊C4×C89—41no—
507C4⋊C4×C89—41no—
508C4⋊C4×C89—41no—
509C4⋊C4×C89—41no—
510C4⋊C4×C89—41no—
511C4⋊C4×C89—41no—
512C4⋊C4×C89—41no—
513C4⋊C4×C89—41no—
514C4⋊C4×C89—41no—
515C4⋊C4×C89—41no—
516C4⋊C4×C89—41no—
517C4⋊C4×C89—41no—
518C22⋊C4×C89—22no—
519C22⋊C4×C89—22no—
520C22⋊C4×C89—22no—
521C22⋊C4×C89—22no—
522C22⋊C4×C89—22no—
523C22⋊C4×C89—22no—
524C22⋊C4×C89—22no—
525C22⋊C4×C89—22no—
526C22⋊C4×C89—22no—
527C22⋊C4×C89—22no—
528C22⋊C4×C89—22no—
529C22⋊C4×C89—22no—
530C22⋊C4×C89—22no—
531C22⋊C4×C89—22no—
532C22⋊C4×C89—22no—
533C22⋊C4×C89—22no—
534C22⋊C4×C89—22no—
535C22⋊C4×C89—22no—
536C22⋊C4×C89—22no—
537C22⋊C4×C89—22no—
538C22⋊C4×C89—22no—
539C22⋊C4×C89—22no—
540C22⋊C4×C89—41no—
541C22⋊C4×C89—41no—
542C22⋊C4×C89—41no—
543C22⋊C4×C89—41no—
544C22⋊C4×C89—41no—
545C22⋊C4×C89—41no—
546C22⋊C4×C89—41no—
547C22⋊C4×C89—41no—
548C22⋊C4×C89—41no—
549C22⋊C4×C89—41no—
550C22⋊C4×C89—41no—
551C22⋊C4×C89—41no—
552C22⋊C4×C89—41no—
553C22⋊C4×C89—41no—
554C22⋊C4×C89—41no—
555C22⋊C4×C89—41no—
556C22⋊C4×C89—41no—
557C22⋊C4×C89—41no—
558C22⋊C4×C89—41no—
559C22⋊C4×C89—41no—
560C22⋊C4×C89—41no—
561C22⋊C4×C89—41no—
562C22⋊C4×C89—41no—
563C22⋊C4×C89—41no—
564C22⋊C4×C89—41no—
565C22⋊C4×C89—41no—
566C22⋊C4×C89—41no—
567C22⋊C4×C89—41no—
568C22⋊C4×C89—41no—
569C22⋊C4×C89—41no—
570C42×C89—41no—
571C42×C89—41no—
572C42×C89—41no—
573C23×C89—21no—
574C23×C89—21no—
575C23×C89—21no—
576C23×C89—21no—
577C23×C89—28no—
578C23×C89—21no—
579C23×C89—21no—
580C23×C89—21no—
581C23×C89—21no—
582C23×C89—21no—
583C23×C89—21no—
584C23×C89—21no—
585C23×C89—21no—
586C23×C89—21no—
587C23×C89—21no—
588C23×C89—21no—
589C23×C89—21no—
590C23×C89—21no—
591C23×C89—21no—
592C23×C89—21no—
593C23×C89—21no—
594C23×C89—21no—
595C23×C89—21no—
596C23×C89—21no—
597C23×C89—21no—
598C23×C89—21no—
599C23×C89—21no—
600C23×C89—21no—
601C23×C89—21no—
602C23×C89—28no—
603C23×C89—21no—
604C23×C89—21no—
605C23×C89—21no—
606C23×C89—21no—
607C23×C89—21no—
608C23×C89—21no—
609C23×C89—21no—
610C23×C89—44no—
611C23×C89—44no—
612C23×C89—44no—
613C23×C89—44no—
614C23×C89—44no—
615C23×C89—44no—
616C23×C89—44no—
617C23×C89—44no—
618C23×C89—82no—
619C23×C89—82no—
620C23×C89—82no—
621C23×C89—82no—
622C23×C89C2×#4112yes—
623C23×C89C2×#4112yes—
624C23×C89C2×#4112yes—
625C23×C89H(5,𝔽2)12yes—
626C23×C89H(5,𝔽2)12yes—
627C23×C89H(5,𝔽2)12yes—
628C23×C892−1+412yes—
629C23×C89C2511yescharacteristic
630Q8×C89—82no—
631D4×C89—44no—
632D4×C89—44no—
633D4×C89—44no—
634D4×C89—44no—
635D4×C89—44no—
636D4×C89—82no—
637D4×C89—82no—
638D4×C89—82no—
639D4×C89—82no—
640C2×C4×C89—21no—
641C2×C4×C89—21no—
642C2×C4×C89—21no—
643C2×C4×C89—21no—
644C2×C4×C89—21no—
645C2×C4×C89—21no—
646C2×C4×C89—21no—
647C2×C4×C89—21no—
648C2×C4×C89—21no—
649C2×C4×C89—21no—
650C2×C4×C89—21no—
651C2×C4×C89—21no—
652C2×C4×C89—21no—
653C2×C4×C89—21no—
654C2×C4×C89—21no—
655C2×C4×C89—21no—
656C2×C4×C89—21no—
657C2×C4×C89—21no—
658C2×C4×C89—21no—
659C2×C4×C89—21no—
660C2×C4×C89—21no—
661C2×C4×C89—21no—
662C2×C4×C89—21no—
663C2×C4×C89—21no—
664C2×C4×C89—21no—
665C2×C4×C89—21no—
666C2×C4×C89—21no—
667C2×C4×C89—21no—
668C2×C4×C89—21no—
669C2×C4×C89—21no—
670C2×C4×C89—21no—
671C2×C4×C89—21no—
672C2×C4×C89—21no—
673C2×C4×C89—21no—
674C2×C4×C89—21no—
675C2×C4×C89—21no—
676C2×C4×C89—21no—
677C2×C4×C89—21no—
678C2×C4×C89—21no—
679C2×C4×C89—21no—
680C2×C4×C89—21no—
681C2×C4×C89—21no—
682C2×C4×C89—21no—
683C2×C4×C89—21no—
684C2×C4×C89—21no—
685C2×C4×C89—21no—
686C2×C4×C89—21no—
687C2×C4×C89—21no—
688C2×C4×C89—21no—
689C2×C4×C89—21no—
690C2×C4×C89—21no—
691C2×C4×C89—21no—
692C2×C4×C89—21no—
693C2×C4×C89—21no—
694C2×C4×C89—21no—
695C2×C4×C89—21no—
696C2×C4×C89—21no—
697C2×C4×C89—21no—
698C2×C4×C89—21no—
699C2×C4×C89—21no—
700C2×C4×C89—21no—
701C2×C4×C89—21no—
702C2×C4×C89—21no—
703C2×C4×C89—21no—
704C2×C4×C89—21no—
705C2×C4×C89—21no—
706C2×C4×C89—21no—
707C2×C4×C89—21no—
708C2×C4×C89—21no—
709C2×C4×C89—21no—
710C2×C4×C89—21no—
711C2×C4×C89—21no—
712C2×C4×C89—21no—
713C2×C4×C89—21no—
714C2×C4×C89—44no—
715C2×C4×C89—44no—
716C2×C4×C89—44no—
717C2×C4×C89—44no—
718C2×C4×C89—44no—
719C2×C4×C89—44no—
720C2×C4×C89—44no—
721C2×C4×C89—82no—
722C2×C4×C89—82no—
723C2×C4×C89—82no—
724C2×C4×C89—82no—
725C2×C4×C89—82no—
726C2×C4×C89—82no—
727C2×C4×C89—82no—
728C2×C4×C89H(5,𝔽2)12yes—
729C22×C89—22no—
730C22×C89—22no—
731C22×C89—22no—
732C22×C89—22no—
733C22×C89—22no—
734C22×C89—22no—
735C22×C89—22no—
736C22×C89—22no—
737C22×C89—22no—
738C22×C89—22no—
739C22×C89—22no—
740C22×C89—22no—
741C22×C89—22no—
742C22×C89—22no—
743C22×C89—22no—
744C22×C89—22no—
745C22×C89—22no—
746C22×C89—22no—
747C22×C89—416no—
748C22×C89—41no—
749C22×C89—41no—
750C22×C89—41no—
751C22×C89—41no—
752C22×C89—41no—
753C22×C89—41no—
754C22×C89—41no—
755C22×C89—41no—
756C22×C89—41no—
757C22×C89—41no—
758C22×C89—41no—
759C22×C89—41no—
760C22×C89—41no—
761C22×C89—41no—
762C22×C89—41no—
763C22×C89—41no—
764C22×C89—41no—
765C22×C89—41no—
766C22×C89—41no—
767C22×C89—41no—
768C22×C89—41no—
769C22×C89—41no—
770C22×C89—41no—
771C22×C89—88no—
772C22×C89#53914yes—
773C22×C89C22×#4111yescharacteristic
774C22×C89C2×H(5,𝔽2)11yescharacteristic
775C22×C89C2×H(5,𝔽2)11yescharacteristic
776C22×C89C2×H(5,𝔽2)11yescharacteristic
777C22×C89C2×H(5,𝔽2)11yescharacteristic
778C22×C89C2×2−1+411yescharacteristic
779C22×C89#58511yescharacteristic
780C4×C89—22no—
781C4×C89—41no—
782C4×C89—41no—
783C4×C89—41no—
784C4×C89—41no—
785C4×C89—41no—
786C4×C89—41no—
787C4×C89—41no—
788C4×C89—41no—
789C4×C89—41no—
790C4×C89—41no—
791C4×C89—41no—
792C4×C89—41no—
793C4×C89—41no—
794C4×C89—41no—
795C4×C89—41no—
796C4×C89—41no—
797C4×C89—41no—
798C4×C89—41no—
799C4×C89—41no—
800C4×C89—41no—
801C4×C89—41no—
802C4×C89—41no—
803C4×C89—41no—
804C4×C89—41no—
805#36775C8911yesmaximal, characteristic, direct product factor, Sylow
806C2×C89—24no—
807C2×C89—42no—
808C2×C89—42no—
809C2×C89—42no—
810C2×C89—42no—
811C2×C89—81no—
812C2×C89C2×#53911yescharacteristic
813C2×C89#349011yescharacteristic
814C2×C89#350511yescharacteristic
815C2×C89#353211yescharacteristic
816C2×C89#353411yescharacteristic
817C2×C89#353511yescharacteristic
818C2×C89#353611yescharacteristic
819#2849C2×C8911yescharacteristic, complemented
820#2848C2×C8911yescharacteristic, complemented
821#2782C2×C8911yescharacteristic, complemented
822#2750C2×C8911yescharacteristic, complemented
823#2746C2×C8911yescharacteristic, complemented
824#2746C2×C8911yescharacteristic, complemented
825#2743C2×C8911yescharacteristic, complemented
826#2728C2×C8911yescharacteristic, complemented
827#2708C2×C8911yescharacteristic, complemented
828#2708C2×C8911yescharacteristic, complemented
829#2706C2×C8911yescharacteristic, complemented
830#2696C2×C8911yescharacteristic, complemented
831#2695C2×C8911yescharacteristic, complemented
832#2693C2×C8911yescharacteristic, complemented
833#2693C2×C8911yescharacteristic, complemented
834#2691C2×C8911yescharacteristic, complemented
835#2687C2×C8911yescharacteristic, complemented
836#2681C2×C8911yescharacteristic, complemented
837#2646C2×C8911yescharacteristic, complemented
838#2643C2×C8911yescharacteristic, complemented
839#2505C2×C8911yescharacteristic, complemented
840#2480C2×C8911yescharacteristic, complemented
841#2450C2×C8911yescharacteristic, complemented
842#2437C2×C8911yescharacteristic, complemented
843#2418C2×C8911yescharacteristic, complemented
844#2412C2×C8911yescharacteristic, complemented
845#2410C2×C8911yescharacteristic
846#2405C2×C8911yescharacteristic, complemented
847#2321C2×C8911yescharacteristic, complemented
848#2315C2×C8911yescharacteristic, complemented
849C2×#386C2×C8911yescharacteristic, complemented
850C89#3677511yescharacteristic, direct product factor, Sylow
851C23×D4C22×C8911yescharacteristic
852C24×C4C22×C8911yescharacteristic
853C2×#126C22×C8911yescharacteristic, complemented
854C2×#123C22×C8911yescharacteristic
855C2×#123C22×C8911yescharacteristic
856C2×#123C22×C8911yescharacteristic, complemented
857C2×#123C22×C8911yescharacteristic, complemented
858C2×#123C22×C8911yescharacteristic, complemented
859C2×#123C22×C8911yescharacteristic, complemented
860C2×C22⋊Q8C22×C8911yescharacteristic
861C2×C22⋊Q8C22×C8911yescharacteristic, complemented
862C2×C22⋊Q8C22×C8911yescharacteristic, complemented
863C2×C22⋊Q8C22×C8911yescharacteristic, complemented
864C2×#121C22×C8911yescharacteristic
865C2×#121C22×C8911yescharacteristic
866C2×#120C22×C8911yescharacteristic
867C2×#120C22×C8911yescharacteristic
868C2×C4×D4C22×C8911yescharacteristic
869C22×C22⋊C4C22×C8911yescharacteristic
870C22×C22⋊C4C22×C8911yescharacteristic
871C22×C22⋊C4C22×C8911yescharacteristic
872C22×C22⋊C4C22×C8911yescharacteristic
873C22×C22⋊C4C22×C8911yescharacteristic
874#401C22×C8911yescharacteristic, complemented
875#400C22×C8911yescharacteristic, complemented
876#400C22×C8911yescharacteristic, complemented
877#400C22×C8911yescharacteristic, complemented
878#400C22×C8911yescharacteristic, complemented
879#400C22×C8911yescharacteristic, complemented
880#400C22×C8911yescharacteristic, complemented
881#400C22×C8911yescharacteristic, complemented
882#400C22×C8911yescharacteristic, complemented
883#400C22×C8911yescharacteristic, complemented
884#400C22×C8911yescharacteristic, complemented
885#400C22×C8911yescharacteristic, complemented
886#399C22×C8911yescharacteristic, complemented
887#399C22×C8911yescharacteristic, complemented
888#398C22×C8911yescharacteristic, complemented
889#398C22×C8911yescharacteristic, complemented
890#398C22×C8911yescharacteristic, complemented
891#398C22×C8911yescharacteristic, complemented
892#398C22×C8911yescharacteristic, complemented
893#398C22×C8911yescharacteristic, complemented
894#397C22×C8911yescharacteristic, complemented
895#397C22×C8911yescharacteristic, complemented
896#397C22×C8911yescharacteristic, complemented
897#397C22×C8911yescharacteristic, complemented
898#397C22×C8911yescharacteristic, complemented
899#397C22×C8911yescharacteristic, complemented
900#397C22×C8911yescharacteristic, complemented
901#397C22×C8911yescharacteristic, complemented
902#397C22×C8911yescharacteristic, complemented
903#396C22×C8911yescharacteristic, complemented
904#396C22×C8911yescharacteristic, complemented
905#396C22×C8911yescharacteristic, complemented
906#396C22×C8911yescharacteristic, complemented
907#396C22×C8911yescharacteristic, complemented
908#394C22×C8911yescharacteristic
909#394C22×C8911yescharacteristic
910#394C22×C8911yescharacteristic
911#394C22×C8911yescharacteristic
912#394C22×C8911yescharacteristic
913#394C22×C8911yescharacteristic
914#394C22×C8911yescharacteristic, complemented
915#394C22×C8911yescharacteristic, complemented
916#394C22×C8911yescharacteristic, complemented
917#394C22×C8911yescharacteristic, complemented
918#393C22×C8911yescharacteristic, complemented
919#393C22×C8911yescharacteristic, complemented
920#392C22×C8911yescharacteristic
921#392C22×C8911yescharacteristic
922#391C22×C8911yescharacteristic, complemented
923#390C22×C8911yescharacteristic, complemented
924#390C22×C8911yescharacteristic, complemented
925#389C22×C8911yescharacteristic, complemented
926#388C22×C8911yescharacteristic, complemented
927#388C22×C8911yescharacteristic, complemented
928#388C22×C8911yescharacteristic, complemented
929#388C22×C8911yescharacteristic, complemented
930#388C22×C8911yescharacteristic, complemented
931#388C22×C8911yescharacteristic, complemented
932#388C22×C8911yescharacteristic, complemented
933#388C22×C8911yescharacteristic, complemented
934#388C22×C8911yescharacteristic, complemented
935#387C22×C8911yescharacteristic, complemented
936#387C22×C8911yescharacteristic, complemented
937#387C22×C8911yescharacteristic, complemented
938#386C22×C8911yescharacteristic
939#386C22×C8911yescharacteristic
940#386C22×C8911yescharacteristic
941#386C22×C8911yescharacteristic
942#386C22×C8911yescharacteristic
943#386C22×C8911yescharacteristic
944#386C22×C8911yescharacteristic
945#386C22×C8911yescharacteristic
946#386C22×C8911yescharacteristic
947#386C22×C8911yescharacteristic
948#386C22×C8911yescharacteristic
949#386C22×C8911yescharacteristic
950#386C22×C8911yescharacteristic
951#386C22×C8911yescharacteristic
952#386C22×C8911yescharacteristic
953#386C22×C8911yescharacteristic
954#386C22×C8911yescharacteristic, complemented
955#386C22×C8911yescharacteristic, complemented
956#386C22×C8911yescharacteristic, complemented
957#386C22×C8911yescharacteristic, complemented
958#386C22×C8911yescharacteristic, complemented
959#386C22×C8911yescharacteristic, complemented
960#385C22×C8911yescharacteristic
961#385C22×C8911yescharacteristic
962#385C22×C8911yescharacteristic
963#385C22×C8911yescharacteristic
964#385C22×C8911yescharacteristic
965#385C22×C8911yescharacteristic
966#385C22×C8911yescharacteristic
967#385C22×C8911yescharacteristic
968#385C22×C8911yescharacteristic
969#385C22×C8911yescharacteristic
970#385C22×C8911yescharacteristic, complemented
971#385C22×C8911yescharacteristic, complemented
972#385C22×C8911yescharacteristic, complemented
973#385C22×C8911yescharacteristic, complemented
974#385C22×C8911yescharacteristic, complemented
975#385C22×C8911yescharacteristic, complemented
976#385C22×C8911yescharacteristic, complemented
977#385C22×C8911yescharacteristic, complemented
978#385C22×C8911yescharacteristic, complemented
979#385C22×C8911yescharacteristic, complemented
980#385C22×C8911yescharacteristic, complemented
981#385C22×C8911yescharacteristic, complemented
982#385C22×C8911yescharacteristic, complemented
983#385C22×C8911yescharacteristic, complemented
984#382C22×C8911yescharacteristic, complemented
985#381C22×C8911yescharacteristic, complemented
986#381C22×C8911yescharacteristic, complemented
987#381C22×C8911yescharacteristic, complemented
988#380C22×C8911yescharacteristic
989#380C22×C8911yescharacteristic
990#380C22×C8911yescharacteristic
991#380C22×C8911yescharacteristic, complemented
992#380C22×C8911yescharacteristic, complemented
993#380C22×C8911yescharacteristic, complemented
994#380C22×C8911yescharacteristic, complemented
995#380C22×C8911yescharacteristic, complemented
996#380C22×C8911yescharacteristic, complemented
997#380C22×C8911yescharacteristic, complemented
998#380C22×C8911yescharacteristic, complemented
999#379C22×C8911yescharacteristic
1000#379C22×C8911yescharacteristic
1001#379C22×C8911yescharacteristic
1002#379C22×C8911yescharacteristic
1003C4×C22⋊C4C22×C8911yescharacteristic
1004C2×#95C22×C8911yescharacteristic
1005C2×#95C22×C8911yescharacteristic
1006C25C23×C8911yescharacteristic
1007C25C23×C8911yescharacteristic
1008C22×Q8C23×C8911yescharacteristic
1009C22×D4—24no—
1010C22×D4—42no—
1011C22×D4—42no—
1012C22×D4C23×C8911yescharacteristic
1013C22×D4C23×C8911yescharacteristic
1014C22×D4C23×C8911yescharacteristic
1015C22×D4C23×C8911yescharacteristic
1016C22×D4C23×C8911yescharacteristic
1017C22×D4C23×C8911yescharacteristic
1018C22×D4C23×C8911yescharacteristic
1019C22×D4C23×C8911yescharacteristic
1020C22×D4C23×C8911yescharacteristic
1021C23×C4—42no—
1022C23×C4—42no—
1023C23×C4—42no—
1024C23×C4C23×C8911yescharacteristic
1025C23×C4C23×C8911yescharacteristic
1026C23×C4C23×C8911yescharacteristic
1027C23×C4C23×C8911yescharacteristic
1028C23×C4C23×C8911yescharacteristic
1029C23×C4C23×C8911yescharacteristic
1030C23×C4C23×C8911yescharacteristic
1031C23×C4C23×C8911yescharacteristic
1032C23×C4C23×C8911yescharacteristic
1033C23×C4C23×C8911yescharacteristic
1034C23×C4C23×C8911yescharacteristic
1035C23×C4C23×C8911yescharacteristic
1036C23×C4C23×C8911yescharacteristic
1037C23×C4C23×C8911yescharacteristic
1038#126—42no—
1039#123—42no—
1040#123—42no—
1041#123—42no—
1042#123—42no—
1043#123—42no—
1044#123—42no—
1045C22⋊Q8—42no—
1046C22⋊Q8—42no—
1047C22⋊Q8—42no—
1048C22⋊Q8—42no—
1049#121—42no—
1050#121—42no—
1051#120—24no—
1052#120—42no—
1053C4×D4—42no—
1054C2×C4⋊C4C23×C8911yescharacteristic
1055C2×C4⋊C4C23×C8911yescharacteristic
1056C2×C4⋊C4C23×C8911yescharacteristic
1057C2×C4⋊C4C23×C8911yescharacteristic
1058C2×C4⋊C4C23×C8911yescharacteristic
1059C2×C4⋊C4C23×C8911yescharacteristic
1060C2×C4⋊C4C23×C8911yescharacteristic
1061C2×C4⋊C4C23×C8911yescharacteristic
1062C2×C4⋊C4C23×C8911yescharacteristic
1063C2×C4⋊C4C23×C8911yescharacteristic
1064C2×C4⋊C4C23×C8911yescharacteristic
1065C2×C4⋊C4C23×C8911yescharacteristic
1066C2×C4⋊C4C23×C8911yescharacteristic
1067C2×C4⋊C4C23×C8911yescharacteristic
1068C2×C4⋊C4C23×C8911yescharacteristic
1069C2×C4⋊C4C23×C8911yescharacteristic
1070C2×C4⋊C4C23×C8911yescharacteristic
1071C2×C4⋊C4C23×C8911yescharacteristic
1072C2×C4⋊C4C23×C8911yescharacteristic
1073C2×C4⋊C4C23×C8911yescharacteristic
1074C2×C4⋊C4C23×C8911yescharacteristic
1075C2×C4⋊C4C23×C8911yescharacteristic
1076C2×C4⋊C4C23×C8911yescharacteristic
1077C2×C4⋊C4C23×C8911yescharacteristic
1078C2×C4⋊C4C23×C8911yescharacteristic
1079C2×C4⋊C4C23×C8911yescharacteristic
1080C2×C4⋊C4C23×C8911yescharacteristic
1081C2×C4⋊C4C23×C8911yescharacteristic
1082C2×C4⋊C4C23×C8911yescharacteristic
1083C2×C4⋊C4C23×C8911yescharacteristic
1084C2×C22⋊C4—24no—
1085C2×C22⋊C4—42no—
1086C2×C22⋊C4—42no—
1087C2×C22⋊C4—42no—
1088C2×C22⋊C4—42no—
1089C2×C22⋊C4C23×C8911yescharacteristic
1090C2×C22⋊C4C23×C8911yescharacteristic
1091C2×C22⋊C4C23×C8911yescharacteristic
1092C2×C22⋊C4C23×C8911yescharacteristic
1093C2×C22⋊C4C23×C8911yescharacteristic
1094C2×C22⋊C4C23×C8911yescharacteristic
1095C2×C22⋊C4C23×C8911yescharacteristic
1096C2×C22⋊C4C23×C8911yescharacteristic
1097C2×C22⋊C4C23×C8911yescharacteristic
1098C2×C22⋊C4C23×C8911yescharacteristic
1099C2×C22⋊C4C23×C8911yescharacteristic
1100C2×C22⋊C4C23×C8911yescharacteristic
1101C2×C22⋊C4C23×C8911yescharacteristic
1102C2×C22⋊C4C23×C8911yescharacteristic
1103C2×C22⋊C4C23×C8911yescharacteristic
1104C2×C22⋊C4C23×C8911yescharacteristic
1105C2×C22⋊C4C23×C8911yescharacteristic
1106C2×C22⋊C4C23×C8911yescharacteristic
1107C2×C22⋊C4C23×C8911yescharacteristic
1108C2×C22⋊C4C23×C8911yescharacteristic
1109C2×C22⋊C4C23×C8911yescharacteristic
1110C2×C22⋊C4C23×C8911yescharacteristic
1111C2×C22⋊C4C23×C8911yescharacteristic
1112C2×C22⋊C4C23×C8911yescharacteristic
1113C2×C22⋊C4C23×C8911yescharacteristic
1114C2×C22⋊C4C23×C8911yescharacteristic
1115C2×C22⋊C4C23×C8911yescharacteristic
1116C2×C22⋊C4C23×C8911yescharacteristic
1117C2×C22⋊C4C23×C8911yescharacteristic
1118C2×C22⋊C4C23×C8911yescharacteristic
1119C2×C22⋊C4C23×C8911yescharacteristic
1120C2×C22⋊C4C23×C8911yescharacteristic
1121C2×C22⋊C4C23×C8911yescharacteristic
1122C2×C22⋊C4C23×C8911yescharacteristic
1123C2×C22⋊C4C23×C8911yescharacteristic
1124C2×C22⋊C4C23×C8911yescharacteristic
1125C2×C22⋊C4C23×C8911yescharacteristic
1126C2×C22⋊C4C23×C8911yescharacteristic
1127C2×C22⋊C4C23×C8911yescharacteristic
1128C2×C22⋊C4C23×C8911yescharacteristic
1129C2×C22⋊C4C23×C8911yescharacteristic
1130C2×C22⋊C4C23×C8911yescharacteristic
1131C2×C22⋊C4C23×C8911yescharacteristic
1132C2×C22⋊C4C23×C8911yescharacteristic
1133C2×C22⋊C4C23×C8911yescharacteristic
1134C2×C22⋊C4C23×C8911yescharacteristic
1135C2×C22⋊C4C23×C8911yescharacteristic
1136C2×C22⋊C4C23×C8911yescharacteristic
1137C2×C22⋊C4C23×C8911yescharacteristic
1138C2×C22⋊C4C23×C8911yescharacteristic
1139C2×C22⋊C4C23×C8911yescharacteristic
1140C2×C22⋊C4C23×C8911yescharacteristic
1141C2×C42C23×C8911yescharacteristic
1142C2×C42C23×C8911yescharacteristic
1143C2×C42C23×C8911yescharacteristic
1144#95C23×C8911yescharacteristic
1145#95C23×C8911yescharacteristic
1146#95C23×C8911yescharacteristic
1147#95C23×C8911yescharacteristic
1148#95C23×C8911yescharacteristic
1149#95C23×C8911yescharacteristic
1150#95C23×C8911yescharacteristic
1151#95C23×C8911yescharacteristic
1152#95C23×C8911yescharacteristic
1153#95C23×C8911yescharacteristic
1154#95C23×C8911yescharacteristic
1155#95C23×C8911yescharacteristic
1156#95C23×C8911yescharacteristic
1157#95C23×C8911yescharacteristic
1158#95C23×C8911yescharacteristic
1159#95C23×C8911yescharacteristic
1160#95C23×C8911yescharacteristic
1161#95C23×C8911yescharacteristic
1162#95C23×C8911yescharacteristic
1163#95C23×C8911yescharacteristic
1164#95C23×C8911yescharacteristic
1165#95C23×C8911yescharacteristic
1166#95C23×C8911yescharacteristic
1167#95C23×C8911yescharacteristic
1168#95C23×C8911yescharacteristic
1169#95C23×C8911yescharacteristic
1170#95C23×C8911yescharacteristic
1171#95C23×C8911yescharacteristic
1172#95C23×C8911yescharacteristic
1173#95C23×C8911yescharacteristic
1174#95C23×C8911yescharacteristic
1175#95C23×C8911yescharacteristic
1176#95C23×C8911yescharacteristic
1177#95C23×C8911yescharacteristic
1178#95C23×C8911yescharacteristic
1179#95C23×C8911yescharacteristic
1180#95C23×C8911yescharacteristic
1181#95C23×C8911yescharacteristic
1182#95C23×C8911yescharacteristic
1183#95C23×C8911yescharacteristic
1184#95C23×C8911yescharacteristic
1185#95C23×C8911yescharacteristic
1186#95C23×C8911yescharacteristic
1187#95C23×C8911yescharacteristic
1188C24—22no—
1189C24—22no—
1190C24—22no—
1191C24—22no—
1192C24—22no—
1193C24—22no—
1194C24—22no—
1195C24—41no—
1196C24—41no—
1197C24—41no—
1198C24—41no—
1199C24—41no—
1200C24—41no—
1201C24#41×C8914yes—
1202C24C24×C8911yescharacteristic
1203C24C24×C8911yescharacteristic
1204C24C24×C8911yescharacteristic
1205C24C24×C8911yescharacteristic
1206C24C24×C8911yescharacteristic
1207C24C24×C8911yescharacteristic
1208C2×Q8—22no—
1209C2×Q8—41no—
1210C2×Q8—41no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—22no—
1214C2×D4—22no—
1215C2×D4—22no—
1216C2×D4—22no—
1217C2×D4—22no—
1218C2×D4—22no—
1219C2×D4—22no—
1220C2×D4—22no—
1221C2×D4—22no—
1222C2×D4—22no—
1223C2×D4—22no—
1224C2×D4—22no—
1225C2×D4—22no—
1226C2×D4—41no—
1227C2×D4—41no—
1228C2×D4—41no—
1229C2×D4—41no—
1230C2×D4—41no—
1231C2×D4—41no—
1232C2×D4—41no—
1233C2×D4—41no—
1234C2×D4—41no—
1235C2×D4—41no—
1236C2×D4—41no—
1237C2×D4—41no—
1238C2×D4—416no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—41no—
1252C22×C4—41no—
1253C22×C4—41no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—41no—
1257C22×C4—41no—
1258C22×C4—41no—
1259C22×C4—41no—
1260C22×C4—41no—
1261C22×C4—41no—
1262C22×C4—41no—
1263C22×C4—41no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—41no—
1269C22×C4—41no—
1270C22×C4—41no—
1271C22×C4—41no—
1272C22×C4—41no—
1273C22×C4—41no—
1274C22×C4—41no—
1275C22×C4—41no—
1276C22×C4—41no—
1277C22×C4—41no—
1278C22×C4—41no—
1279C22×C4—41no—
1280C22×C4—41no—
1281C22×C4—416no—
1282C22×C4C24×C8911yescharacteristic
1283C22×C4C24×C8911yescharacteristic
1284C22×C4C24×C8911yescharacteristic
1285C22×C4C24×C8911yescharacteristic
1286C22×C4C24×C8911yescharacteristic
1287C22×C4C24×C8911yescharacteristic
1288C22×C4C24×C8911yescharacteristic
1289C22×C4C24×C8911yescharacteristic
1290C22×C4C24×C8911yescharacteristic
1291C22×C4C24×C8911yescharacteristic
1292C22×C4C24×C8911yescharacteristic
1293C22×C4C24×C8911yescharacteristic
1294C22×C4C24×C8911yescharacteristic
1295C22×C4C24×C8911yescharacteristic
1296C22×C4C24×C8911yescharacteristic
1297C22×C4C24×C8911yescharacteristic
1298C22×C4C24×C8911yescharacteristic
1299C22×C4C24×C8911yescharacteristic
1300C22×C4C24×C8911yescharacteristic
1301C22×C4C24×C8911yescharacteristic
1302C22×C4C24×C8911yescharacteristic
1303C22×C4C24×C8911yescharacteristic
1304C22×C4C24×C8911yescharacteristic
1305C22×C4C24×C8911yescharacteristic
1306C22×C4C24×C8911yescharacteristic
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—41no—
1310C4⋊C4—41no—
1311C4⋊C4—41no—
1312C4⋊C4—41no—
1313C4⋊C4—41no—
1314C4⋊C4—41no—
1315C4⋊C4—41no—
1316C4⋊C4—41no—
1317C4⋊C4—41no—
1318C4⋊C4—41no—
1319C4⋊C4—41no—
1320C4⋊C4—41no—
1321C4⋊C4—41no—
1322C4⋊C4—41no—
1323C4⋊C4—41no—
1324C4⋊C4—41no—
1325C4⋊C4—41no—
1326C4⋊C4—41no—
1327C4⋊C4—41no—
1328C4⋊C4—41no—
1329C4⋊C4—41no—
1330C4⋊C4—41no—
1331C4⋊C4—41no—
1332C4⋊C4—41no—
1333C4⋊C4—41no—
1334C4⋊C4—41no—
1335C4⋊C4—41no—
1336C4⋊C4—41no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—22no—
1340C22⋊C4—22no—
1341C22⋊C4—22no—
1342C22⋊C4—22no—
1343C22⋊C4—22no—
1344C22⋊C4—22no—
1345C22⋊C4—22no—
1346C22⋊C4—22no—
1347C22⋊C4—22no—
1348C22⋊C4—22no—
1349C22⋊C4—22no—
1350C22⋊C4—22no—
1351C22⋊C4—22no—
1352C22⋊C4—22no—
1353C22⋊C4—22no—
1354C22⋊C4—22no—
1355C22⋊C4—22no—
1356C22⋊C4—22no—
1357C22⋊C4—22no—
1358C22⋊C4—22no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
1363C22⋊C4—41no—
1364C22⋊C4—41no—
1365C22⋊C4—41no—
1366C22⋊C4—41no—
1367C22⋊C4—41no—
1368C22⋊C4—41no—
1369C22⋊C4—41no—
1370C22⋊C4—41no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4—41no—
1374C22⋊C4—41no—
1375C22⋊C4—41no—
1376C22⋊C4—41no—
1377C22⋊C4—41no—
1378C22⋊C4—41no—
1379C22⋊C4—41no—
1380C22⋊C4—41no—
1381C22⋊C4—41no—
1382C22⋊C4—41no—
1383C22⋊C4—41no—
1384C22⋊C4—41no—
1385C22⋊C4—41no—
1386C22⋊C4—41no—
1387C22⋊C4—41no—
1388C22⋊C4—41no—
1389C42—41no—
1390C42—41no—
1391C42—41no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—28no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—28no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—44no—
1430C23—44no—
1431C23—44no—
1432C23—44no—
1433C23—44no—
1434C23—44no—
1435C23—44no—
1436C23—44no—
1437C23—82no—
1438C23—82no—
1439C23—82no—
1440C23—82no—
1441C23C2×#41×C8912yes—
1442C23C2×#41×C8912yes—
1443C23C2×#41×C8912yes—
1444C23H(5,𝔽2)×C8912yes—
1445C23H(5,𝔽2)×C8912yes—
1446C23H(5,𝔽2)×C8912yes—
1447C232−1+4×C8912yes—
1448C23C25×C8911yescharacteristic
1449Q8—82no—
1450D4—44no—
1451D4—44no—
1452D4—44no—
1453D4—44no—
1454D4—44no—
1455D4—82no—
1456D4—82no—
1457D4—82no—
1458D4—82no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—44no—
1534C2×C4—44no—
1535C2×C4—44no—
1536C2×C4—44no—
1537C2×C4—44no—
1538C2×C4—44no—
1539C2×C4—44no—
1540C2×C4—82no—
1541C2×C4—82no—
1542C2×C4—82no—
1543C2×C4—82no—
1544C2×C4—82no—
1545C2×C4—82no—
1546C2×C4—82no—
1547C2×C4H(5,𝔽2)×C8912yes—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—22no—
1555C22—22no—
1556C22—22no—
1557C22—22no—
1558C22—22no—
1559C22—22no—
1560C22—22no—
1561C22—22no—
1562C22—22no—
1563C22—22no—
1564C22—22no—
1565C22—22no—
1566C22—416no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22—41no—
1577C22—41no—
1578C22—41no—
1579C22—41no—
1580C22—41no—
1581C22—41no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—88no—
1591C22#539×C8914yes—
1592C22C22×#41×C8911yescharacteristic
1593C22C2×H(5,𝔽2)×C8911yescharacteristic
1594C22C2×H(5,𝔽2)×C8911yescharacteristic
1595C22C2×H(5,𝔽2)×C8911yescharacteristic
1596C22C2×H(5,𝔽2)×C8911yescharacteristic
1597C22C2×2−1+4×C8911yescharacteristic
1598C22#585×C8911yescharacteristic
1599C4—22no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—41no—
1611C4—41no—
1612C4—41no—
1613C4—41no—
1614C4—41no—
1615C4—41no—
1616C4—41no—
1617C4—41no—
1618C4—41no—
1619C4—41no—
1620C4—41no—
1621C4—41no—
1622C4—41no—
1623C4—41no—
1624C2—24no—
1625C2—42no—
1626C2—42no—
1627C2—42no—
1628C2—42no—
1629C2—81no—
1630C2C2×#539×C8911yescharacteristic
1631C2C89×#349011yescharacteristic
1632C2C89×#350511yescharacteristic
1633C2C89×#353211yescharacteristic
1634C2C89×#353411yescharacteristic
1635C2C89×#353511yescharacteristic
1636C2C89×#353611yescharacteristic
subgroupG/H
center, socleC23×C89C25
commutator, Frattini, cosocleC23C25×C89
prime radicalC89×#2410C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C89 ◁ G

Complements

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

NH ≅ G/Ntype
1. C89×#2849C2semidirect
2. C89×#2848C2semidirect
3. C89×#2782C2semidirect
4. C89×#2750C2semidirect
5. C89×#2746C2semidirect
6. C89×#2746C2semidirect
7. C89×#2743C2semidirect
8. C89×#2728C2semidirect
9. C89×#2708C2semidirect
10. C89×#2708C2semidirect
11. C89×#2706C2semidirect
12. C89×#2696C2semidirect
13. C89×#2695C2semidirect
14. C89×#2693C2semidirect
15. C89×#2693C2semidirect
16. C89×#2691C2semidirect
17. C89×#2687C2semidirect
18. C89×#2681C2semidirect
19. C89×#2646C2semidirect
20. C89×#2643C2semidirect
21. C89×#2505C2semidirect
22. C89×#2480C2semidirect
23. C89×#2450C2semidirect
24. C89×#2437C2semidirect
25. C89×#2418C2semidirect
26. C89×#2412C2semidirect
28. C89×#2405C2semidirect
29. C89×#2321C2semidirect
30. C89×#2315C2semidirect
31. C2×#386×C89C2semidirect
34. C2×#126×C89C22semidirect
37. C2×#123×C89C22semidirect
38. C2×#123×C89C22semidirect
39. C2×#123×C89C22semidirect
40. C2×#123×C89C22semidirect
42. C2×C22⋊Q8×C89C22semidirect
43. C2×C22⋊Q8×C89C22semidirect
44. C2×C22⋊Q8×C89C22semidirect
55. #401×C89C22semidirect
56. #400×C89C22semidirect
57. #400×C89C22semidirect
58. #400×C89C22semidirect
59. #400×C89C22semidirect
60. #400×C89C22semidirect
61. #400×C89C22semidirect
62. #400×C89C22semidirect
63. #400×C89C22semidirect
64. #400×C89C22semidirect
65. #400×C89C22semidirect
66. #400×C89C22semidirect
67. #399×C89C22semidirect
68. #399×C89C22semidirect
69. #398×C89C22semidirect
70. #398×C89C22semidirect
71. #398×C89C22semidirect
72. #398×C89C22semidirect
73. #398×C89C22semidirect
74. #398×C89C22semidirect
75. #397×C89C22semidirect
76. #397×C89C22semidirect
77. #397×C89C22semidirect
78. #397×C89C22semidirect
79. #397×C89C22semidirect
80. #397×C89C22semidirect
81. #397×C89C22semidirect
82. #397×C89C22semidirect
83. #397×C89C22semidirect
84. #396×C89C22semidirect
85. #396×C89C22semidirect
86. #396×C89C22semidirect
87. #396×C89C22semidirect
88. #396×C89C22semidirect
95. #394×C89C22semidirect
96. #394×C89C22semidirect
97. #394×C89C22semidirect
98. #394×C89C22semidirect
99. #393×C89C22semidirect
100. #393×C89C22semidirect
103. #391×C89C22semidirect
104. #390×C89C22semidirect
105. #390×C89C22semidirect
106. #389×C89C22semidirect
107. #388×C89C22semidirect
108. #388×C89C22semidirect
109. #388×C89C22semidirect
110. #388×C89C22semidirect
111. #388×C89C22semidirect
112. #388×C89C22semidirect
113. #388×C89C22semidirect
114. #388×C89C22semidirect
115. #388×C89C22semidirect
116. #387×C89C22semidirect
117. #387×C89C22semidirect
118. #387×C89C22semidirect
135. #386×C89C22semidirect
136. #386×C89C22semidirect
137. #386×C89C22semidirect
138. #386×C89C22semidirect
139. #386×C89C22semidirect
140. #386×C89C22semidirect
151. #385×C89C22semidirect
152. #385×C89C22semidirect
153. #385×C89C22semidirect
154. #385×C89C22semidirect
155. #385×C89C22semidirect
156. #385×C89C22semidirect
157. #385×C89C22semidirect
158. #385×C89C22semidirect
159. #385×C89C22semidirect
160. #385×C89C22semidirect
161. #385×C89C22semidirect
162. #385×C89C22semidirect
163. #385×C89C22semidirect
164. #385×C89C22semidirect
165. #382×C89C22semidirect
166. #381×C89C22semidirect
167. #381×C89C22semidirect
168. #381×C89C22semidirect
172. #380×C89C22semidirect
173. #380×C89C22semidirect
174. #380×C89C22semidirect
175. #380×C89C22semidirect
176. #380×C89C22semidirect
177. #380×C89C22semidirect
178. #380×C89C22semidirect
179. #380×C89C22semidirect
805. #36775C89direct (N × H)
819. #2849C2×C89semidirect
820. #2848C2×C89semidirect
821. #2782C2×C89semidirect
822. #2750C2×C89semidirect
823. #2746C2×C89semidirect
824. #2746C2×C89semidirect
825. #2743C2×C89semidirect
826. #2728C2×C89semidirect
827. #2708C2×C89semidirect
828. #2708C2×C89semidirect
829. #2706C2×C89semidirect
830. #2696C2×C89semidirect
831. #2695C2×C89semidirect
832. #2693C2×C89semidirect
833. #2693C2×C89semidirect
834. #2691C2×C89semidirect
835. #2687C2×C89semidirect
836. #2681C2×C89semidirect
837. #2646C2×C89semidirect
838. #2643C2×C89semidirect
839. #2505C2×C89semidirect
840. #2480C2×C89semidirect
841. #2450C2×C89semidirect
842. #2437C2×C89semidirect
843. #2418C2×C89semidirect
844. #2412C2×C89semidirect
846. #2405C2×C89semidirect
847. #2321C2×C89semidirect
848. #2315C2×C89semidirect
849. C2×#386C2×C89semidirect
850. C89#36775direct (N × H)
853. C2×#126C22×C89semidirect
856. C2×#123C22×C89semidirect
857. C2×#123C22×C89semidirect
858. C2×#123C22×C89semidirect
859. C2×#123C22×C89semidirect
861. C2×C22⋊Q8C22×C89semidirect
862. C2×C22⋊Q8C22×C89semidirect
863. C2×C22⋊Q8C22×C89semidirect
874. #401C22×C89semidirect
875. #400C22×C89semidirect
876. #400C22×C89semidirect
877. #400C22×C89semidirect
878. #400C22×C89semidirect
879. #400C22×C89semidirect
880. #400C22×C89semidirect
881. #400C22×C89semidirect
882. #400C22×C89semidirect
883. #400C22×C89semidirect
884. #400C22×C89semidirect
885. #400C22×C89semidirect
886. #399C22×C89semidirect
887. #399C22×C89semidirect
888. #398C22×C89semidirect
889. #398C22×C89semidirect
890. #398C22×C89semidirect
891. #398C22×C89semidirect
892. #398C22×C89semidirect
893. #398C22×C89semidirect
894. #397C22×C89semidirect
895. #397C22×C89semidirect
896. #397C22×C89semidirect
897. #397C22×C89semidirect
898. #397C22×C89semidirect
899. #397C22×C89semidirect
900. #397C22×C89semidirect
901. #397C22×C89semidirect
902. #397C22×C89semidirect
903. #396C22×C89semidirect
904. #396C22×C89semidirect
905. #396C22×C89semidirect
906. #396C22×C89semidirect
907. #396C22×C89semidirect
914. #394C22×C89semidirect
915. #394C22×C89semidirect
916. #394C22×C89semidirect
917. #394C22×C89semidirect
918. #393C22×C89semidirect
919. #393C22×C89semidirect
922. #391C22×C89semidirect
923. #390C22×C89semidirect
924. #390C22×C89semidirect
925. #389C22×C89semidirect
926. #388C22×C89semidirect
927. #388C22×C89semidirect
928. #388C22×C89semidirect
929. #388C22×C89semidirect
930. #388C22×C89semidirect
931. #388C22×C89semidirect
932. #388C22×C89semidirect
933. #388C22×C89semidirect
934. #388C22×C89semidirect
935. #387C22×C89semidirect
936. #387C22×C89semidirect
937. #387C22×C89semidirect
954. #386C22×C89semidirect
955. #386C22×C89semidirect
956. #386C22×C89semidirect
957. #386C22×C89semidirect
958. #386C22×C89semidirect
959. #386C22×C89semidirect
970. #385C22×C89semidirect
971. #385C22×C89semidirect
972. #385C22×C89semidirect
973. #385C22×C89semidirect
974. #385C22×C89semidirect
975. #385C22×C89semidirect
976. #385C22×C89semidirect
977. #385C22×C89semidirect
978. #385C22×C89semidirect
979. #385C22×C89semidirect
980. #385C22×C89semidirect
981. #385C22×C89semidirect
982. #385C22×C89semidirect
983. #385C22×C89semidirect
984. #382C22×C89semidirect
985. #381C22×C89semidirect
986. #381C22×C89semidirect
987. #381C22×C89semidirect
991. #380C22×C89semidirect
992. #380C22×C89semidirect
993. #380C22×C89semidirect
994. #380C22×C89semidirect
995. #380C22×C89semidirect
996. #380C22×C89semidirect
997. #380C22×C89semidirect
998. #380C22×C89semidirect

Maximal subgroups

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

subgroupindex
C89×#28492
C89×#28482
C89×#27822
C89×#27502
C89×#27462
C89×#27432
C89×#27282
C89×#27082
C89×#27062
C89×#26962
C89×#26952
C89×#26932
C89×#26912
C89×#26872
C89×#26812
C89×#26462
C89×#26432
C89×#25052
C89×#24802
C89×#24502
C89×#24372
C89×#24182
C89×#24122
C89×#24102
C89×#24052
C89×#23212
C89×#23152
C2×#386×C892
#3677589