Finite Group Databasebeta

← C89×#36794 #36414642

Subgroups — C89×#36794 #36414642

Order 22784.

2346 conjugacy classes of subgroups.

The subgroup lattice has 1770 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C89×#2849C211yesmaximal, characteristic, complemented
2C89×#2847C211yesmaximal, characteristic, complemented
3C89×#2797C211yesmaximal, characteristic, complemented
4C89×#2786C211yesmaximal, characteristic, complemented
5C89×#2756C211yesmaximal, characteristic, complemented
6C89×#2753C211yesmaximal, characteristic, complemented
7C89×#2752C211yesmaximal, characteristic, complemented
8C89×#2749C211yesmaximal, characteristic, complemented
9C89×#2740C211yesmaximal, characteristic, complemented
10C89×#2709C211yesmaximal, characteristic, complemented
11C89×#2709C211yesmaximal, characteristic, complemented
12C89×#2706C211yesmaximal, characteristic, complemented
13C89×#2703C211yesmaximal, characteristic, complemented
14C89×#2699C211yesmaximal, characteristic, complemented
15C89×#2688C211yesmaximal, characteristic, complemented
16C89×#2673C211yesmaximal, characteristic, complemented
17C89×#2673C211yesmaximal, characteristic, complemented
18C89×#2671C211yesmaximal, characteristic, complemented
19C89×#2622C211yesmaximal, characteristic, complemented
20C89×#2617C211yesmaximal, characteristic, complemented
21C89×#2569C211yesmaximal, characteristic, complemented
22C89×#2543C211yesmaximal, characteristic, complemented
23C89×#2433C211yesmaximal, characteristic, complemented
24C89×#2424C211yesmaximal, characteristic, complemented
25C89×#2424C211yesmaximal, characteristic, complemented
26C89×#2418C211yesmaximal, characteristic, complemented
27C89×#2418C211yesmaximal, characteristic, complemented
28C89×#2408C211yesmaximal, characteristic, complemented
29C89×#2325C211yesmaximal, characteristic, complemented
30C89×#2318C211yesmaximal, characteristic, complemented
31C2×#386×C89C211yesmaximal, characteristic, complemented
32C23×D4×C89C2211yescharacteristic
33C24×C4×C89C2211yescharacteristic
34C2×#127×C89C2211yescharacteristic
35C2×#127×C89C2211yescharacteristic
36C2×#123×C89C2211yescharacteristic, complemented
37C2×#123×C89C2211yescharacteristic, complemented
38C2×#123×C89C2211yescharacteristic, complemented
39C2×#123×C89C2211yescharacteristic, complemented
40C2×#121×C89C2211yescharacteristic
41C2×#121×C89C2211yescharacteristic
42C2×#121×C89C2211yescharacteristic
43C2×#121×C89C2211yescharacteristic
44C2×#121×C89C2211yescharacteristic
45C2×#121×C89C2211yescharacteristic, complemented
46C2×#121×C89C2211yescharacteristic, complemented
47C2×#121×C89C2211yescharacteristic, complemented
48C2×#121×C89C2211yescharacteristic, complemented
49C2×#120×C89C2211yescharacteristic
50C2×#120×C89C2211yescharacteristic
51C2×#120×C89C2211yescharacteristic
52C2×#120×C89C2211yescharacteristic
53C2×#120×C89C2211yescharacteristic
54C2×#120×C89C2211yescharacteristic
55C2×C4×D4×C89C2211yescharacteristic
56C2×C4×D4×C89C2211yescharacteristic
57C2×C4×D4×C89C2211yescharacteristic
58C22×C22⋊C4×C89C2211yescharacteristic
59C22×C22⋊C4×C89C2211yescharacteristic
60C22×C22⋊C4×C89C2211yescharacteristic
61#400×C89C2211yescharacteristic, complemented
62#400×C89C2211yescharacteristic, complemented
63#399×C89C2211yescharacteristic, complemented
64#399×C89C2211yescharacteristic, complemented
65#398×C89C2211yescharacteristic, complemented
66#398×C89C2211yescharacteristic, complemented
67#398×C89C2211yescharacteristic, complemented
68#397×C89C2211yescharacteristic, complemented
69#397×C89C2211yescharacteristic, complemented
70#397×C89C2211yescharacteristic, complemented
71#397×C89C2211yescharacteristic, complemented
72#397×C89C2211yescharacteristic, complemented
73#397×C89C2211yescharacteristic, complemented
74#397×C89C2211yescharacteristic, complemented
75#397×C89C2211yescharacteristic, complemented
76#397×C89C2211yescharacteristic, complemented
77#396×C89C2211yescharacteristic, complemented
78#396×C89C2211yescharacteristic, complemented
79#394×C89C2211yescharacteristic
80#394×C89C2211yescharacteristic
81#394×C89C2211yescharacteristic, complemented
82#394×C89C2211yescharacteristic, complemented
83#394×C89C2211yescharacteristic, complemented
84#394×C89C2211yescharacteristic, complemented
85#394×C89C2211yescharacteristic, complemented
86#394×C89C2211yescharacteristic, complemented
87#394×C89C2211yescharacteristic, complemented
88#394×C89C2211yescharacteristic, complemented
89#394×C89C2211yescharacteristic, complemented
90#394×C89C2211yescharacteristic, complemented
91#394×C89C2211yescharacteristic, complemented
92#394×C89C2211yescharacteristic, complemented
93#394×C89C2211yescharacteristic, complemented
94#394×C89C2211yescharacteristic, complemented
95#394×C89C2211yescharacteristic, complemented
96#394×C89C2211yescharacteristic, complemented
97#394×C89C2211yescharacteristic, complemented
98#392×C89C2211yescharacteristic
99#392×C89C2211yescharacteristic
100#392×C89C2211yescharacteristic
101#392×C89C2211yescharacteristic
102#392×C89C2211yescharacteristic
103#392×C89C2211yescharacteristic
104#392×C89C2211yescharacteristic, complemented
105#392×C89C2211yescharacteristic, complemented
106#392×C89C2211yescharacteristic, complemented
107#392×C89C2211yescharacteristic, complemented
108#392×C89C2211yescharacteristic, complemented
109#390×C89C2211yescharacteristic
110#390×C89C2211yescharacteristic
111#390×C89C2211yescharacteristic
112#390×C89C2211yescharacteristic
113#390×C89C2211yescharacteristic, complemented
114#390×C89C2211yescharacteristic, complemented
115#388×C89C2211yescharacteristic, complemented
116#388×C89C2211yescharacteristic, complemented
117#388×C89C2211yescharacteristic, complemented
118#388×C89C2211yescharacteristic, complemented
119#388×C89C2211yescharacteristic, complemented
120#388×C89C2211yescharacteristic, complemented
121#388×C89C2211yescharacteristic, complemented
122#388×C89C2211yescharacteristic, complemented
123#388×C89C2211yescharacteristic, complemented
124#388×C89C2211yescharacteristic, complemented
125#388×C89C2211yescharacteristic, complemented
126#388×C89C2211yescharacteristic, complemented
127#387×C89C2211yescharacteristic, complemented
128#387×C89C2211yescharacteristic, complemented
129#387×C89C2211yescharacteristic, complemented
130#387×C89C2211yescharacteristic, complemented
131#387×C89C2211yescharacteristic, complemented
132#387×C89C2211yescharacteristic, complemented
133#387×C89C2211yescharacteristic, complemented
134#387×C89C2211yescharacteristic, complemented
135#386×C89C2211yescharacteristic
136#386×C89C2211yescharacteristic
137#386×C89C2211yescharacteristic
138#386×C89C2211yescharacteristic
139#386×C89C2211yescharacteristic
140#386×C89C2211yescharacteristic
141#386×C89C2211yescharacteristic
142#386×C89C2211yescharacteristic
143#386×C89C2211yescharacteristic
144#386×C89C2211yescharacteristic
145#386×C89C2211yescharacteristic
146#386×C89C2211yescharacteristic
147#386×C89C2211yescharacteristic
148#386×C89C2211yescharacteristic
149#386×C89C2211yescharacteristic, complemented
150#386×C89C2211yescharacteristic, complemented
151#386×C89C2211yescharacteristic, complemented
152#386×C89C2211yescharacteristic, complemented
153#386×C89C2211yescharacteristic, complemented
154#386×C89C2211yescharacteristic, complemented
155#386×C89C2211yescharacteristic, complemented
156#386×C89C2211yescharacteristic, complemented
157#386×C89C2211yescharacteristic, complemented
158#386×C89C2211yescharacteristic, complemented
159#386×C89C2211yescharacteristic, complemented
160#386×C89C2211yescharacteristic, complemented
161#386×C89C2211yescharacteristic, complemented
162#386×C89C2211yescharacteristic, complemented
163#385×C89C2211yescharacteristic
164#385×C89C2211yescharacteristic
165#385×C89C2211yescharacteristic
166#385×C89C2211yescharacteristic
167#385×C89C2211yescharacteristic, complemented
168#385×C89C2211yescharacteristic, complemented
169#385×C89C2211yescharacteristic, complemented
170#385×C89C2211yescharacteristic, complemented
171#383×C89C2211yescharacteristic, complemented
172#382×C89C2211yescharacteristic, complemented
173#381×C89C2211yescharacteristic, complemented
174#381×C89C2211yescharacteristic, complemented
175#381×C89C2211yescharacteristic, complemented
176#380×C89C2211yescharacteristic
177#380×C89C2211yescharacteristic
178#380×C89C2211yescharacteristic
179#380×C89C2211yescharacteristic, complemented
180#380×C89C2211yescharacteristic, complemented
181#380×C89C2211yescharacteristic, complemented
182#379×C89C2211yescharacteristic
183#379×C89C2211yescharacteristic
184C4×C22⋊C4×C89C2211yescharacteristic
185C2×#95×C89C2211yescharacteristic
186C2×#95×C89C2211yescharacteristic
187C25×C89C2311yescharacteristic
188C25×C89C2311yescharacteristic
189C22×D4×C89—24no—
190C22×D4×C89—42no—
191C22×D4×C89—42no—
192C22×D4×C89C2311yescharacteristic
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
202C22×D4×C89C2311yescharacteristic
203C22×D4×C89C2311yescharacteristic
204C22×D4×C89C2311yescharacteristic
205C22×D4×C89C2311yescharacteristic
206C22×D4×C89C2311yescharacteristic
207C22×D4×C89C2311yescharacteristic
208C22×D4×C89C2311yescharacteristic
209C22×D4×C89C2311yescharacteristic
210C22×D4×C89C2311yescharacteristic
211C22×D4×C89C2311yescharacteristic
212C22×D4×C89C2311yescharacteristic
213C22×D4×C89C2311yescharacteristic
214C23×C4×C89—42no—
215C23×C4×C89—42no—
216C23×C4×C89—42no—
217C23×C4×C89C2311yescharacteristic
218C23×C4×C89C2311yescharacteristic
219C23×C4×C89C2311yescharacteristic
220C23×C4×C89C2311yescharacteristic
221C23×C4×C89C2311yescharacteristic
222C23×C4×C89C2311yescharacteristic
223C23×C4×C89C2311yescharacteristic
224C23×C4×C89C2311yescharacteristic
225C23×C4×C89C2311yescharacteristic
226C23×C4×C89C2311yescharacteristic
227C23×C4×C89C2311yescharacteristic
228C23×C4×C89C2311yescharacteristic
229#127×C89—42no—
230#127×C89—42no—
231#123×C89—42no—
232#123×C89—42no—
233#123×C89—42no—
234#123×C89—42no—
235#121×C89—24no—
236#121×C89—42no—
237#121×C89—42no—
238#121×C89—42no—
239#121×C89—42no—
240#121×C89—42no—
241#121×C89—42no—
242#121×C89—42no—
243#121×C89—42no—
244#120×C89—42no—
245#120×C89—42no—
246#120×C89—42no—
247#120×C89—42no—
248#120×C89—42no—
249#120×C89—42no—
250C4×D4×C89—24no—
251C4×D4×C89—42no—
252C4×D4×C89—42no—
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×C4⋊C4×C89C2311yescharacteristic
266C2×C4⋊C4×C89C2311yescharacteristic
267C2×C4⋊C4×C89C2311yescharacteristic
268C2×C4⋊C4×C89C2311yescharacteristic
269C2×C4⋊C4×C89C2311yescharacteristic
270C2×C4⋊C4×C89C2311yescharacteristic
271C2×C4⋊C4×C89C2311yescharacteristic
272C2×C4⋊C4×C89C2311yescharacteristic
273C2×C22⋊C4×C89—42no—
274C2×C22⋊C4×C89—42no—
275C2×C22⋊C4×C89—42no—
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×C22⋊C4×C89C2311yescharacteristic
323C2×C22⋊C4×C89C2311yescharacteristic
324C2×C22⋊C4×C89C2311yescharacteristic
325C2×C22⋊C4×C89C2311yescharacteristic
326C2×C22⋊C4×C89C2311yescharacteristic
327C2×C22⋊C4×C89C2311yescharacteristic
328C2×C22⋊C4×C89C2311yescharacteristic
329C2×C22⋊C4×C89C2311yescharacteristic
330C2×C22⋊C4×C89C2311yescharacteristic
331C2×C22⋊C4×C89C2311yescharacteristic
332C2×C22⋊C4×C89C2311yescharacteristic
333C2×C22⋊C4×C89C2311yescharacteristic
334C2×C42×C89C2311yescharacteristic
335C2×C42×C89C2311yescharacteristic
336C2×C42×C89C2311yescharacteristic
337C2×C42×C89C2311yescharacteristic
338C2×C42×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
369#95×C89C2311yescharacteristic
370#95×C89C2311yescharacteristic
371#95×C89C2311yescharacteristic
372#95×C89C2311yescharacteristic
373#95×C89C2311yescharacteristic
374#95×C89C2311yescharacteristic
375C24×C89—22no—
376C24×C89—22no—
377C24×C89—22no—
378C24×C89—22no—
379C24×C89—22no—
380C24×C89—22no—
381C24×C89—22no—
382C24×C89—22no—
383C24×C89—41no—
384C24×C89—41no—
385C24×C89—41no—
386C24×C89—41no—
387C24×C89—41no—
388C24×C89—41no—
389C24×C89C2411yescharacteristic
390C24×C89C2411yescharacteristic
391C24×C89C2411yescharacteristic
392C24×C89C2411yescharacteristic
393C24×C89C2411yescharacteristic
394C24×C89C2411yescharacteristic
395C24×C89C2411yescharacteristic
396C24×C89C2411yescharacteristic
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—22no—
408C2×D4×C89—22no—
409C2×D4×C89—22no—
410C2×D4×C89—22no—
411C2×D4×C89—22no—
412C2×D4×C89—22no—
413C2×D4×C89—22no—
414C2×D4×C89—22no—
415C2×D4×C89—22no—
416C2×D4×C89—22no—
417C2×D4×C89—22no—
418C2×D4×C89—22no—
419C2×D4×C89—22no—
420C2×D4×C89—22no—
421C2×D4×C89—22no—
422C2×D4×C89—41no—
423C2×D4×C89—41no—
424C2×D4×C89—41no—
425C2×D4×C89—41no—
426C2×D4×C89—41no—
427C2×D4×C89—41no—
428C2×D4×C89—41no—
429C2×D4×C89—41no—
430C2×D4×C89—41no—
431C2×D4×C89—41no—
432C2×D4×C89—41no—
433C2×D4×C89—41no—
434C2×D4×C89—41no—
435C2×D4×C89—41no—
436C2×D4×C89—41no—
437C2×D4×C89—41no—
438C2×D4×C89—41no—
439C2×D4×C89—41no—
440C2×D4×C89—41no—
441C2×D4×C89—41no—
442C2×D4×C89—41no—
443C2×D4×C89—41no—
444C2×D4×C89—41no—
445C2×D4×C89—41no—
446C2×D4×C89—41no—
447C2×D4×C89—41no—
448C2×D4×C89—41no—
449C2×D4×C89—41no—
450C2×D4×C89—41no—
451C2×D4×C89—41no—
452C2×D4×C89—41no—
453C2×D4×C89—41no—
454C2×D4×C89—41no—
455C2×D4×C89—41no—
456C2×D4×C89—41no—
457C2×D4×C89—41no—
458C2×D4×C89—41no—
459C2×D4×C89—41no—
460C2×D4×C89—41no—
461C2×D4×C89—41no—
462C2×D4×C89—41no—
463C2×D4×C89—416no—
464C22×C4×C89—22no—
465C22×C4×C89—22no—
466C22×C4×C89—22no—
467C22×C4×C89—22no—
468C22×C4×C89—22no—
469C22×C4×C89—22no—
470C22×C4×C89—22no—
471C22×C4×C89—22no—
472C22×C4×C89—22no—
473C22×C4×C89—22no—
474C22×C4×C89—41no—
475C22×C4×C89—41no—
476C22×C4×C89—41no—
477C22×C4×C89—41no—
478C22×C4×C89—41no—
479C22×C4×C89—41no—
480C22×C4×C89—41no—
481C22×C4×C89—41no—
482C22×C4×C89—41no—
483C22×C4×C89—41no—
484C22×C4×C89—41no—
485C22×C4×C89—41no—
486C22×C4×C89—41no—
487C22×C4×C89—41no—
488C22×C4×C89—41no—
489C22×C4×C89—41no—
490C22×C4×C89—41no—
491C22×C4×C89—41no—
492C22×C4×C89—41no—
493C22×C4×C89—41no—
494C22×C4×C89—41no—
495C22×C4×C89—41no—
496C22×C4×C89—41no—
497C22×C4×C89—41no—
498C22×C4×C89—41no—
499C22×C4×C89—416no—
500C22×C4×C89#4114yes—
501C22×C4×C89C2411yescharacteristic
502C22×C4×C89C2411yescharacteristic
503C22×C4×C89C2411yescharacteristic
504C22×C4×C89C2411yescharacteristic
505C22×C4×C89C2411yescharacteristic
506C22×C4×C89C2411yescharacteristic
507C22×C4×C89C2411yescharacteristic
508C22×C4×C89C2411yescharacteristic
509C22×C4×C89C2411yescharacteristic
510C22×C4×C89C2411yescharacteristic
511C22×C4×C89C2411yescharacteristic
512C22×C4×C89C2411yescharacteristic
513C22×C4×C89C2411yescharacteristic
514C22×C4×C89C2411yescharacteristic
515C22×C4×C89C2411yescharacteristic
516C22×C4×C89C2411yescharacteristic
517C22×C4×C89C2411yescharacteristic
518C22×C4×C89C2411yescharacteristic
519C22×C4×C89C2411yescharacteristic
520C22×C4×C89C2411yescharacteristic
521C22×C4×C89C2411yescharacteristic
522C22×C4×C89C2411yescharacteristic
523C22×C4×C89C2411yescharacteristic
524C4⋊C4×C89—22no—
525C4⋊C4×C89—22no—
526C4⋊C4×C89—22no—
527C4⋊C4×C89—22no—
528C4⋊C4×C89—41no—
529C4⋊C4×C89—41no—
530C4⋊C4×C89—41no—
531C4⋊C4×C89—41no—
532C4⋊C4×C89—41no—
533C4⋊C4×C89—41no—
534C4⋊C4×C89—41no—
535C4⋊C4×C89—41no—
536C4⋊C4×C89—41no—
537C4⋊C4×C89—41no—
538C4⋊C4×C89—41no—
539C4⋊C4×C89—41no—
540C4⋊C4×C89—41no—
541C4⋊C4×C89—41no—
542C4⋊C4×C89—41no—
543C4⋊C4×C89—41no—
544C22⋊C4×C89—22no—
545C22⋊C4×C89—22no—
546C22⋊C4×C89—22no—
547C22⋊C4×C89—22no—
548C22⋊C4×C89—22no—
549C22⋊C4×C89—22no—
550C22⋊C4×C89—22no—
551C22⋊C4×C89—22no—
552C22⋊C4×C89—22no—
553C22⋊C4×C89—22no—
554C22⋊C4×C89—22no—
555C22⋊C4×C89—22no—
556C22⋊C4×C89—22no—
557C22⋊C4×C89—22no—
558C22⋊C4×C89—22no—
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—
570C22⋊C4×C89—41no—
571C22⋊C4×C89—41no—
572C22⋊C4×C89—41no—
573C22⋊C4×C89—41no—
574C22⋊C4×C89—41no—
575C22⋊C4×C89—41no—
576C22⋊C4×C89—41no—
577C22⋊C4×C89—41no—
578C22⋊C4×C89—41no—
579C22⋊C4×C89—41no—
580C22⋊C4×C89—41no—
581C22⋊C4×C89—41no—
582C22⋊C4×C89—41no—
583C22⋊C4×C89—41no—
584C22⋊C4×C89—41no—
585C22⋊C4×C89—41no—
586C22⋊C4×C89—41no—
587C22⋊C4×C89—41no—
588C22⋊C4×C89—41no—
589C22⋊C4×C89—41no—
590C22⋊C4×C89—41no—
591C22⋊C4×C89—41no—
592C22⋊C4×C89—41no—
593C22⋊C4×C89—41no—
594C22⋊C4×C89—41no—
595C22⋊C4×C89—41no—
596C22⋊C4×C89—41no—
597C22⋊C4×C89—41no—
598C22⋊C4×C89—41no—
599C22⋊C4×C89—41no—
600C22⋊C4×C89—41no—
601C22⋊C4×C89—41no—
602C42×C89—22no—
603C42×C89—41no—
604C42×C89—41no—
605C42×C89—41no—
606C42×C89—41no—
607C23×C89—21no—
608C23×C89—21no—
609C23×C89—21no—
610C23×C89—21no—
611C23×C89—28no—
612C23×C89—21no—
613C23×C89—21no—
614C23×C89—21no—
615C23×C89—21no—
616C23×C89—21no—
617C23×C89—21no—
618C23×C89—21no—
619C23×C89—21no—
620C23×C89—21no—
621C23×C89—21no—
622C23×C89—21no—
623C23×C89—21no—
624C23×C89—21no—
625C23×C89—21no—
626C23×C89—21no—
627C23×C89—21no—
628C23×C89—21no—
629C23×C89—21no—
630C23×C89—21no—
631C23×C89—21no—
632C23×C89—21no—
633C23×C89—21no—
634C23×C89—21no—
635C23×C89—21no—
636C23×C89—21no—
637C23×C89—21no—
638C23×C89—21no—
639C23×C89—21no—
640C23×C89—21no—
641C23×C89—21no—
642C23×C89—21no—
643C23×C89—21no—
644C23×C89—21no—
645C23×C89—21no—
646C23×C89—21no—
647C23×C89—21no—
648C23×C89—21no—
649C23×C89—21no—
650C23×C89—21no—
651C23×C89—21no—
652C23×C89—21no—
653C23×C89—21no—
654C23×C89—21no—
655C23×C89—21no—
656C23×C89—21no—
657C23×C89—21no—
658C23×C89—21no—
659C23×C89—44no—
660C23×C89—44no—
661C23×C89—44no—
662C23×C89—44no—
663C23×C89—44no—
664C23×C89—44no—
665C23×C89—44no—
666C23×C89—44no—
667C23×C89—44no—
668C23×C89—82no—
669C23×C89—82no—
670C23×C89—82no—
671C23×C89—82no—
672C23×C89C2×#4112yes—
673C23×C89H(5,𝔽2)12yes—
674C23×C89H(5,𝔽2)12yes—
675C23×C89H(5,𝔽2)12yes—
676C23×C89H(5,𝔽2)12yes—
677C23×C89C2511yescharacteristic
678D4×C89—44no—
679D4×C89—44no—
680D4×C89—44no—
681D4×C89—44no—
682D4×C89—44no—
683D4×C89—44no—
684D4×C89—44no—
685D4×C89—82no—
686D4×C89—82no—
687D4×C89—82no—
688D4×C89—82no—
689D4×C89—82no—
690D4×C89—82no—
691D4×C89—82no—
692D4×C89—82no—
693D4×C89—82no—
694D4×C89—82no—
695D4×C89—82no—
696D4×C89—82no—
697D4×C89—82no—
698D4×C89—82no—
699D4×C89—82no—
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—21no—
715C2×C4×C89—21no—
716C2×C4×C89—21no—
717C2×C4×C89—21no—
718C2×C4×C89—21no—
719C2×C4×C89—21no—
720C2×C4×C89—21no—
721C2×C4×C89—21no—
722C2×C4×C89—21no—
723C2×C4×C89—21no—
724C2×C4×C89—21no—
725C2×C4×C89—21no—
726C2×C4×C89—21no—
727C2×C4×C89—21no—
728C2×C4×C89—21no—
729C2×C4×C89—21no—
730C2×C4×C89—21no—
731C2×C4×C89—21no—
732C2×C4×C89—21no—
733C2×C4×C89—21no—
734C2×C4×C89—21no—
735C2×C4×C89—21no—
736C2×C4×C89—21no—
737C2×C4×C89—21no—
738C2×C4×C89—21no—
739C2×C4×C89—21no—
740C2×C4×C89—21no—
741C2×C4×C89—21no—
742C2×C4×C89—21no—
743C2×C4×C89—21no—
744C2×C4×C89—21no—
745C2×C4×C89—21no—
746C2×C4×C89—21no—
747C2×C4×C89—21no—
748C2×C4×C89—21no—
749C2×C4×C89—21no—
750C2×C4×C89—21no—
751C2×C4×C89—21no—
752C2×C4×C89—21no—
753C2×C4×C89—21no—
754C2×C4×C89—21no—
755C2×C4×C89—21no—
756C2×C4×C89—21no—
757C2×C4×C89—21no—
758C2×C4×C89—21no—
759C2×C4×C89—21no—
760C2×C4×C89—21no—
761C2×C4×C89—21no—
762C2×C4×C89—21no—
763C2×C4×C89—21no—
764C2×C4×C89—21no—
765C2×C4×C89—21no—
766C2×C4×C89—44no—
767C2×C4×C89—44no—
768C2×C4×C89—44no—
769C2×C4×C89—44no—
770C2×C4×C89—44no—
771C2×C4×C89—44no—
772C2×C4×C89—44no—
773C2×C4×C89—82no—
774C2×C4×C89—82no—
775C2×C4×C89—82no—
776C2×C4×C89—82no—
777C2×C4×C89—82no—
778C2×C4×C89C2×#4112yes—
779C2×C4×C89C2×#4112yes—
780C2×C4×C89H(5,𝔽2)12yes—
781C22×C89—22no—
782C22×C89—22no—
783C22×C89—22no—
784C22×C89—22no—
785C22×C89—22no—
786C22×C89—22no—
787C22×C89—22no—
788C22×C89—22no—
789C22×C89—22no—
790C22×C89—22no—
791C22×C89—22no—
792C22×C89—22no—
793C22×C89—416no—
794C22×C89—41no—
795C22×C89—41no—
796C22×C89—41no—
797C22×C89—41no—
798C22×C89—41no—
799C22×C89—41no—
800C22×C89—41no—
801C22×C89—41no—
802C22×C89—41no—
803C22×C89—41no—
804C22×C89—41no—
805C22×C89—41no—
806C22×C89—41no—
807C22×C89—41no—
808C22×C89—41no—
809C22×C89—41no—
810C22×C89—41no—
811C22×C89—41no—
812C22×C89—41no—
813C22×C89—41no—
814C22×C89—41no—
815C22×C89—41no—
816C22×C89—41no—
817C22×C89—41no—
818C22×C89—41no—
819C22×C89—41no—
820C22×C89—41no—
821C22×C89—41no—
822C22×C89—41no—
823C22×C89—41no—
824C22×C89—41no—
825C22×C89—41no—
826C22×C89—41no—
827C22×C89—41no—
828C22×C89—41no—
829C22×C89—41no—
830C22×C89—41no—
831C22×C89—41no—
832C22×C89—41no—
833C22×C89—41no—
834C22×C89—41no—
835C22×C89—41no—
836C22×C89—41no—
837C22×C89—88no—
838C22×C89#54014yes—
839C22×C89C22×#4111yescharacteristic
840C22×C89C2×H(5,𝔽2)11yescharacteristic
841C22×C89C2×H(5,𝔽2)11yescharacteristic
842C22×C89C2×H(5,𝔽2)11yescharacteristic
843C22×C89C2×H(5,𝔽2)11yescharacteristic
844C22×C89C2×H(5,𝔽2)11yescharacteristic
845C22×C89#58511yescharacteristic
846C4×C89—22no—
847C4×C89—22no—
848C4×C89—22no—
849C4×C89—41no—
850C4×C89—41no—
851C4×C89—41no—
852C4×C89—41no—
853C4×C89—41no—
854C4×C89—41no—
855C4×C89—41no—
856C4×C89—41no—
857C4×C89—41no—
858C4×C89—41no—
859C4×C89—41no—
860C4×C89—41no—
861C4×C89—41no—
862C4×C89—41no—
863C4×C89—41no—
864C4×C89—41no—
865C4×C89—41no—
866C4×C89—41no—
867C4×C89—41no—
868C4×C89—41no—
869#36794C8911yesmaximal, characteristic, direct product factor, Sylow
870C2×C89—24no—
871C2×C89—42no—
872C2×C89—42no—
873C2×C89—81no—
874C2×C89—81no—
875C2×C89—81no—
876C2×C89—81no—
877C2×C89—81no—
878C2×C89C2×#54011yescharacteristic
879C2×C89#349011yescharacteristic
880C2×C89#350611yescharacteristic
881C2×C89#353211yescharacteristic
882C2×C89#353411yescharacteristic
883C2×C89#353411yescharacteristic
884C2×C89#353711yescharacteristic
885#2849C2×C8911yescharacteristic, complemented
886#2847C2×C8911yescharacteristic, complemented
887#2797C2×C8911yescharacteristic, complemented
888#2786C2×C8911yescharacteristic, complemented
889#2756C2×C8911yescharacteristic, complemented
890#2753C2×C8911yescharacteristic, complemented
891#2752C2×C8911yescharacteristic, complemented
892#2749C2×C8911yescharacteristic, complemented
893#2740C2×C8911yescharacteristic, complemented
894#2709C2×C8911yescharacteristic, complemented
895#2709C2×C8911yescharacteristic, complemented
896#2706C2×C8911yescharacteristic, complemented
897#2703C2×C8911yescharacteristic, complemented
898#2699C2×C8911yescharacteristic, complemented
899#2688C2×C8911yescharacteristic, complemented
900#2673C2×C8911yescharacteristic, complemented
901#2673C2×C8911yescharacteristic, complemented
902#2671C2×C8911yescharacteristic, complemented
903#2622C2×C8911yescharacteristic, complemented
904#2617C2×C8911yescharacteristic, complemented
905#2569C2×C8911yescharacteristic, complemented
906#2543C2×C8911yescharacteristic, complemented
907#2433C2×C8911yescharacteristic, complemented
908#2424C2×C8911yescharacteristic, complemented
909#2424C2×C8911yescharacteristic, complemented
910#2418C2×C8911yescharacteristic, complemented
911#2418C2×C8911yescharacteristic, complemented
912#2408C2×C8911yescharacteristic, complemented
913#2325C2×C8911yescharacteristic, complemented
914#2318C2×C8911yescharacteristic, complemented
915C2×#386C2×C8911yescharacteristic, complemented
916C89#3679411yescharacteristic, direct product factor, Sylow
917C23×D4C22×C8911yescharacteristic
918C24×C4C22×C8911yescharacteristic
919C2×#127C22×C8911yescharacteristic
920C2×#127C22×C8911yescharacteristic
921C2×#123C22×C8911yescharacteristic, complemented
922C2×#123C22×C8911yescharacteristic, complemented
923C2×#123C22×C8911yescharacteristic, complemented
924C2×#123C22×C8911yescharacteristic, complemented
925C2×#121C22×C8911yescharacteristic
926C2×#121C22×C8911yescharacteristic
927C2×#121C22×C8911yescharacteristic
928C2×#121C22×C8911yescharacteristic
929C2×#121C22×C8911yescharacteristic
930C2×#121C22×C8911yescharacteristic, complemented
931C2×#121C22×C8911yescharacteristic, complemented
932C2×#121C22×C8911yescharacteristic, complemented
933C2×#121C22×C8911yescharacteristic, complemented
934C2×#120C22×C8911yescharacteristic
935C2×#120C22×C8911yescharacteristic
936C2×#120C22×C8911yescharacteristic
937C2×#120C22×C8911yescharacteristic
938C2×#120C22×C8911yescharacteristic
939C2×#120C22×C8911yescharacteristic
940C2×C4×D4C22×C8911yescharacteristic
941C2×C4×D4C22×C8911yescharacteristic
942C2×C4×D4C22×C8911yescharacteristic
943C22×C22⋊C4C22×C8911yescharacteristic
944C22×C22⋊C4C22×C8911yescharacteristic
945C22×C22⋊C4C22×C8911yescharacteristic
946#400C22×C8911yescharacteristic, complemented
947#400C22×C8911yescharacteristic, complemented
948#399C22×C8911yescharacteristic, complemented
949#399C22×C8911yescharacteristic, complemented
950#398C22×C8911yescharacteristic, complemented
951#398C22×C8911yescharacteristic, complemented
952#398C22×C8911yescharacteristic, complemented
953#397C22×C8911yescharacteristic, complemented
954#397C22×C8911yescharacteristic, complemented
955#397C22×C8911yescharacteristic, complemented
956#397C22×C8911yescharacteristic, complemented
957#397C22×C8911yescharacteristic, complemented
958#397C22×C8911yescharacteristic, complemented
959#397C22×C8911yescharacteristic, complemented
960#397C22×C8911yescharacteristic, complemented
961#397C22×C8911yescharacteristic, complemented
962#396C22×C8911yescharacteristic, complemented
963#396C22×C8911yescharacteristic, complemented
964#394C22×C8911yescharacteristic
965#394C22×C8911yescharacteristic
966#394C22×C8911yescharacteristic, complemented
967#394C22×C8911yescharacteristic, complemented
968#394C22×C8911yescharacteristic, complemented
969#394C22×C8911yescharacteristic, complemented
970#394C22×C8911yescharacteristic, complemented
971#394C22×C8911yescharacteristic, complemented
972#394C22×C8911yescharacteristic, complemented
973#394C22×C8911yescharacteristic, complemented
974#394C22×C8911yescharacteristic, complemented
975#394C22×C8911yescharacteristic, complemented
976#394C22×C8911yescharacteristic, complemented
977#394C22×C8911yescharacteristic, complemented
978#394C22×C8911yescharacteristic, complemented
979#394C22×C8911yescharacteristic, complemented
980#394C22×C8911yescharacteristic, complemented
981#394C22×C8911yescharacteristic, complemented
982#394C22×C8911yescharacteristic, complemented
983#392C22×C8911yescharacteristic
984#392C22×C8911yescharacteristic
985#392C22×C8911yescharacteristic
986#392C22×C8911yescharacteristic
987#392C22×C8911yescharacteristic
988#392C22×C8911yescharacteristic
989#392C22×C8911yescharacteristic, complemented
990#392C22×C8911yescharacteristic, complemented
991#392C22×C8911yescharacteristic, complemented
992#392C22×C8911yescharacteristic, complemented
993#392C22×C8911yescharacteristic, complemented
994#390C22×C8911yescharacteristic
995#390C22×C8911yescharacteristic
996#390C22×C8911yescharacteristic
997#390C22×C8911yescharacteristic
998#390C22×C8911yescharacteristic, complemented
999#390C22×C8911yescharacteristic, complemented
1000#388C22×C8911yescharacteristic, complemented
1001#388C22×C8911yescharacteristic, complemented
1002#388C22×C8911yescharacteristic, complemented
1003#388C22×C8911yescharacteristic, complemented
1004#388C22×C8911yescharacteristic, complemented
1005#388C22×C8911yescharacteristic, complemented
1006#388C22×C8911yescharacteristic, complemented
1007#388C22×C8911yescharacteristic, complemented
1008#388C22×C8911yescharacteristic, complemented
1009#388C22×C8911yescharacteristic, complemented
1010#388C22×C8911yescharacteristic, complemented
1011#388C22×C8911yescharacteristic, complemented
1012#387C22×C8911yescharacteristic, complemented
1013#387C22×C8911yescharacteristic, complemented
1014#387C22×C8911yescharacteristic, complemented
1015#387C22×C8911yescharacteristic, complemented
1016#387C22×C8911yescharacteristic, complemented
1017#387C22×C8911yescharacteristic, complemented
1018#387C22×C8911yescharacteristic, complemented
1019#387C22×C8911yescharacteristic, complemented
1020#386C22×C8911yescharacteristic
1021#386C22×C8911yescharacteristic
1022#386C22×C8911yescharacteristic
1023#386C22×C8911yescharacteristic
1024#386C22×C8911yescharacteristic
1025#386C22×C8911yescharacteristic
1026#386C22×C8911yescharacteristic
1027#386C22×C8911yescharacteristic
1028#386C22×C8911yescharacteristic
1029#386C22×C8911yescharacteristic
1030#386C22×C8911yescharacteristic
1031#386C22×C8911yescharacteristic
1032#386C22×C8911yescharacteristic
1033#386C22×C8911yescharacteristic
1034#386C22×C8911yescharacteristic, complemented
1035#386C22×C8911yescharacteristic, complemented
1036#386C22×C8911yescharacteristic, complemented
1037#386C22×C8911yescharacteristic, complemented
1038#386C22×C8911yescharacteristic, complemented
1039#386C22×C8911yescharacteristic, complemented
1040#386C22×C8911yescharacteristic, complemented
1041#386C22×C8911yescharacteristic, complemented
1042#386C22×C8911yescharacteristic, complemented
1043#386C22×C8911yescharacteristic, complemented
1044#386C22×C8911yescharacteristic, complemented
1045#386C22×C8911yescharacteristic, complemented
1046#386C22×C8911yescharacteristic, complemented
1047#386C22×C8911yescharacteristic, complemented
1048#385C22×C8911yescharacteristic
1049#385C22×C8911yescharacteristic
1050#385C22×C8911yescharacteristic
1051#385C22×C8911yescharacteristic
1052#385C22×C8911yescharacteristic, complemented
1053#385C22×C8911yescharacteristic, complemented
1054#385C22×C8911yescharacteristic, complemented
1055#385C22×C8911yescharacteristic, complemented
1056#383C22×C8911yescharacteristic, complemented
1057#382C22×C8911yescharacteristic, complemented
1058#381C22×C8911yescharacteristic, complemented
1059#381C22×C8911yescharacteristic, complemented
1060#381C22×C8911yescharacteristic, complemented
1061#380C22×C8911yescharacteristic
1062#380C22×C8911yescharacteristic
1063#380C22×C8911yescharacteristic
1064#380C22×C8911yescharacteristic, complemented
1065#380C22×C8911yescharacteristic, complemented
1066#380C22×C8911yescharacteristic, complemented
1067#379C22×C8911yescharacteristic
1068#379C22×C8911yescharacteristic
1069C4×C22⋊C4C22×C8911yescharacteristic
1070C2×#95C22×C8911yescharacteristic
1071C2×#95C22×C8911yescharacteristic
1072C25C23×C8911yescharacteristic
1073C25C23×C8911yescharacteristic
1074C22×D4—24no—
1075C22×D4—42no—
1076C22×D4—42no—
1077C22×D4C23×C8911yescharacteristic
1078C22×D4C23×C8911yescharacteristic
1079C22×D4C23×C8911yescharacteristic
1080C22×D4C23×C8911yescharacteristic
1081C22×D4C23×C8911yescharacteristic
1082C22×D4C23×C8911yescharacteristic
1083C22×D4C23×C8911yescharacteristic
1084C22×D4C23×C8911yescharacteristic
1085C22×D4C23×C8911yescharacteristic
1086C22×D4C23×C8911yescharacteristic
1087C22×D4C23×C8911yescharacteristic
1088C22×D4C23×C8911yescharacteristic
1089C22×D4C23×C8911yescharacteristic
1090C22×D4C23×C8911yescharacteristic
1091C22×D4C23×C8911yescharacteristic
1092C22×D4C23×C8911yescharacteristic
1093C22×D4C23×C8911yescharacteristic
1094C22×D4C23×C8911yescharacteristic
1095C22×D4C23×C8911yescharacteristic
1096C22×D4C23×C8911yescharacteristic
1097C22×D4C23×C8911yescharacteristic
1098C22×D4C23×C8911yescharacteristic
1099C23×C4—42no—
1100C23×C4—42no—
1101C23×C4—42no—
1102C23×C4C23×C8911yescharacteristic
1103C23×C4C23×C8911yescharacteristic
1104C23×C4C23×C8911yescharacteristic
1105C23×C4C23×C8911yescharacteristic
1106C23×C4C23×C8911yescharacteristic
1107C23×C4C23×C8911yescharacteristic
1108C23×C4C23×C8911yescharacteristic
1109C23×C4C23×C8911yescharacteristic
1110C23×C4C23×C8911yescharacteristic
1111C23×C4C23×C8911yescharacteristic
1112C23×C4C23×C8911yescharacteristic
1113C23×C4C23×C8911yescharacteristic
1114#127—42no—
1115#127—42no—
1116#123—42no—
1117#123—42no—
1118#123—42no—
1119#123—42no—
1120#121—24no—
1121#121—42no—
1122#121—42no—
1123#121—42no—
1124#121—42no—
1125#121—42no—
1126#121—42no—
1127#121—42no—
1128#121—42no—
1129#120—42no—
1130#120—42no—
1131#120—42no—
1132#120—42no—
1133#120—42no—
1134#120—42no—
1135C4×D4—24no—
1136C4×D4—42no—
1137C4×D4—42no—
1138C2×C4⋊C4C23×C8911yescharacteristic
1139C2×C4⋊C4C23×C8911yescharacteristic
1140C2×C4⋊C4C23×C8911yescharacteristic
1141C2×C4⋊C4C23×C8911yescharacteristic
1142C2×C4⋊C4C23×C8911yescharacteristic
1143C2×C4⋊C4C23×C8911yescharacteristic
1144C2×C4⋊C4C23×C8911yescharacteristic
1145C2×C4⋊C4C23×C8911yescharacteristic
1146C2×C4⋊C4C23×C8911yescharacteristic
1147C2×C4⋊C4C23×C8911yescharacteristic
1148C2×C4⋊C4C23×C8911yescharacteristic
1149C2×C4⋊C4C23×C8911yescharacteristic
1150C2×C4⋊C4C23×C8911yescharacteristic
1151C2×C4⋊C4C23×C8911yescharacteristic
1152C2×C4⋊C4C23×C8911yescharacteristic
1153C2×C4⋊C4C23×C8911yescharacteristic
1154C2×C4⋊C4C23×C8911yescharacteristic
1155C2×C4⋊C4C23×C8911yescharacteristic
1156C2×C4⋊C4C23×C8911yescharacteristic
1157C2×C4⋊C4C23×C8911yescharacteristic
1158C2×C22⋊C4—42no—
1159C2×C22⋊C4—42no—
1160C2×C22⋊C4—42no—
1161C2×C22⋊C4C23×C8911yescharacteristic
1162C2×C22⋊C4C23×C8911yescharacteristic
1163C2×C22⋊C4C23×C8911yescharacteristic
1164C2×C22⋊C4C23×C8911yescharacteristic
1165C2×C22⋊C4C23×C8911yescharacteristic
1166C2×C22⋊C4C23×C8911yescharacteristic
1167C2×C22⋊C4C23×C8911yescharacteristic
1168C2×C22⋊C4C23×C8911yescharacteristic
1169C2×C22⋊C4C23×C8911yescharacteristic
1170C2×C22⋊C4C23×C8911yescharacteristic
1171C2×C22⋊C4C23×C8911yescharacteristic
1172C2×C22⋊C4C23×C8911yescharacteristic
1173C2×C22⋊C4C23×C8911yescharacteristic
1174C2×C22⋊C4C23×C8911yescharacteristic
1175C2×C22⋊C4C23×C8911yescharacteristic
1176C2×C22⋊C4C23×C8911yescharacteristic
1177C2×C22⋊C4C23×C8911yescharacteristic
1178C2×C22⋊C4C23×C8911yescharacteristic
1179C2×C22⋊C4C23×C8911yescharacteristic
1180C2×C22⋊C4C23×C8911yescharacteristic
1181C2×C22⋊C4C23×C8911yescharacteristic
1182C2×C22⋊C4C23×C8911yescharacteristic
1183C2×C22⋊C4C23×C8911yescharacteristic
1184C2×C22⋊C4C23×C8911yescharacteristic
1185C2×C22⋊C4C23×C8911yescharacteristic
1186C2×C22⋊C4C23×C8911yescharacteristic
1187C2×C22⋊C4C23×C8911yescharacteristic
1188C2×C22⋊C4C23×C8911yescharacteristic
1189C2×C22⋊C4C23×C8911yescharacteristic
1190C2×C22⋊C4C23×C8911yescharacteristic
1191C2×C22⋊C4C23×C8911yescharacteristic
1192C2×C22⋊C4C23×C8911yescharacteristic
1193C2×C22⋊C4C23×C8911yescharacteristic
1194C2×C22⋊C4C23×C8911yescharacteristic
1195C2×C22⋊C4C23×C8911yescharacteristic
1196C2×C22⋊C4C23×C8911yescharacteristic
1197C2×C22⋊C4C23×C8911yescharacteristic
1198C2×C22⋊C4C23×C8911yescharacteristic
1199C2×C22⋊C4C23×C8911yescharacteristic
1200C2×C22⋊C4C23×C8911yescharacteristic
1201C2×C22⋊C4C23×C8911yescharacteristic
1202C2×C22⋊C4C23×C8911yescharacteristic
1203C2×C22⋊C4C23×C8911yescharacteristic
1204C2×C22⋊C4C23×C8911yescharacteristic
1205C2×C22⋊C4C23×C8911yescharacteristic
1206C2×C22⋊C4C23×C8911yescharacteristic
1207C2×C22⋊C4C23×C8911yescharacteristic
1208C2×C22⋊C4C23×C8911yescharacteristic
1209C2×C22⋊C4C23×C8911yescharacteristic
1210C2×C22⋊C4C23×C8911yescharacteristic
1211C2×C22⋊C4C23×C8911yescharacteristic
1212C2×C22⋊C4C23×C8911yescharacteristic
1213C2×C22⋊C4C23×C8911yescharacteristic
1214C2×C22⋊C4C23×C8911yescharacteristic
1215C2×C22⋊C4C23×C8911yescharacteristic
1216C2×C22⋊C4C23×C8911yescharacteristic
1217C2×C22⋊C4C23×C8911yescharacteristic
1218C2×C22⋊C4C23×C8911yescharacteristic
1219C2×C42C23×C8911yescharacteristic
1220C2×C42C23×C8911yescharacteristic
1221C2×C42C23×C8911yescharacteristic
1222C2×C42C23×C8911yescharacteristic
1223C2×C42C23×C8911yescharacteristic
1224#95C23×C8911yescharacteristic
1225#95C23×C8911yescharacteristic
1226#95C23×C8911yescharacteristic
1227#95C23×C8911yescharacteristic
1228#95C23×C8911yescharacteristic
1229#95C23×C8911yescharacteristic
1230#95C23×C8911yescharacteristic
1231#95C23×C8911yescharacteristic
1232#95C23×C8911yescharacteristic
1233#95C23×C8911yescharacteristic
1234#95C23×C8911yescharacteristic
1235#95C23×C8911yescharacteristic
1236#95C23×C8911yescharacteristic
1237#95C23×C8911yescharacteristic
1238#95C23×C8911yescharacteristic
1239#95C23×C8911yescharacteristic
1240#95C23×C8911yescharacteristic
1241#95C23×C8911yescharacteristic
1242#95C23×C8911yescharacteristic
1243#95C23×C8911yescharacteristic
1244#95C23×C8911yescharacteristic
1245#95C23×C8911yescharacteristic
1246#95C23×C8911yescharacteristic
1247#95C23×C8911yescharacteristic
1248#95C23×C8911yescharacteristic
1249#95C23×C8911yescharacteristic
1250#95C23×C8911yescharacteristic
1251#95C23×C8911yescharacteristic
1252#95C23×C8911yescharacteristic
1253#95C23×C8911yescharacteristic
1254#95C23×C8911yescharacteristic
1255#95C23×C8911yescharacteristic
1256#95C23×C8911yescharacteristic
1257#95C23×C8911yescharacteristic
1258#95C23×C8911yescharacteristic
1259#95C23×C8911yescharacteristic
1260C24—22no—
1261C24—22no—
1262C24—22no—
1263C24—22no—
1264C24—22no—
1265C24—22no—
1266C24—22no—
1267C24—22no—
1268C24—41no—
1269C24—41no—
1270C24—41no—
1271C24—41no—
1272C24—41no—
1273C24—41no—
1274C24C24×C8911yescharacteristic
1275C24C24×C8911yescharacteristic
1276C24C24×C8911yescharacteristic
1277C24C24×C8911yescharacteristic
1278C24C24×C8911yescharacteristic
1279C24C24×C8911yescharacteristic
1280C24C24×C8911yescharacteristic
1281C24C24×C8911yescharacteristic
1282C2×D4—22no—
1283C2×D4—22no—
1284C2×D4—22no—
1285C2×D4—22no—
1286C2×D4—22no—
1287C2×D4—22no—
1288C2×D4—22no—
1289C2×D4—22no—
1290C2×D4—22no—
1291C2×D4—22no—
1292C2×D4—22no—
1293C2×D4—22no—
1294C2×D4—22no—
1295C2×D4—22no—
1296C2×D4—22no—
1297C2×D4—22no—
1298C2×D4—22no—
1299C2×D4—22no—
1300C2×D4—22no—
1301C2×D4—22no—
1302C2×D4—22no—
1303C2×D4—22no—
1304C2×D4—22no—
1305C2×D4—22no—
1306C2×D4—22no—
1307C2×D4—41no—
1308C2×D4—41no—
1309C2×D4—41no—
1310C2×D4—41no—
1311C2×D4—41no—
1312C2×D4—41no—
1313C2×D4—41no—
1314C2×D4—41no—
1315C2×D4—41no—
1316C2×D4—41no—
1317C2×D4—41no—
1318C2×D4—41no—
1319C2×D4—41no—
1320C2×D4—41no—
1321C2×D4—41no—
1322C2×D4—41no—
1323C2×D4—41no—
1324C2×D4—41no—
1325C2×D4—41no—
1326C2×D4—41no—
1327C2×D4—41no—
1328C2×D4—41no—
1329C2×D4—41no—
1330C2×D4—41no—
1331C2×D4—41no—
1332C2×D4—41no—
1333C2×D4—41no—
1334C2×D4—41no—
1335C2×D4—41no—
1336C2×D4—41no—
1337C2×D4—41no—
1338C2×D4—41no—
1339C2×D4—41no—
1340C2×D4—41no—
1341C2×D4—41no—
1342C2×D4—41no—
1343C2×D4—41no—
1344C2×D4—41no—
1345C2×D4—41no—
1346C2×D4—41no—
1347C2×D4—41no—
1348C2×D4—416no—
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—416no—
1385C22×C4#41×C8914yes—
1386C22×C4C24×C8911yescharacteristic
1387C22×C4C24×C8911yescharacteristic
1388C22×C4C24×C8911yescharacteristic
1389C22×C4C24×C8911yescharacteristic
1390C22×C4C24×C8911yescharacteristic
1391C22×C4C24×C8911yescharacteristic
1392C22×C4C24×C8911yescharacteristic
1393C22×C4C24×C8911yescharacteristic
1394C22×C4C24×C8911yescharacteristic
1395C22×C4C24×C8911yescharacteristic
1396C22×C4C24×C8911yescharacteristic
1397C22×C4C24×C8911yescharacteristic
1398C22×C4C24×C8911yescharacteristic
1399C22×C4C24×C8911yescharacteristic
1400C22×C4C24×C8911yescharacteristic
1401C22×C4C24×C8911yescharacteristic
1402C22×C4C24×C8911yescharacteristic
1403C22×C4C24×C8911yescharacteristic
1404C22×C4C24×C8911yescharacteristic
1405C22×C4C24×C8911yescharacteristic
1406C22×C4C24×C8911yescharacteristic
1407C22×C4C24×C8911yescharacteristic
1408C22×C4C24×C8911yescharacteristic
1409C4⋊C4—22no—
1410C4⋊C4—22no—
1411C4⋊C4—22no—
1412C4⋊C4—22no—
1413C4⋊C4—41no—
1414C4⋊C4—41no—
1415C4⋊C4—41no—
1416C4⋊C4—41no—
1417C4⋊C4—41no—
1418C4⋊C4—41no—
1419C4⋊C4—41no—
1420C4⋊C4—41no—
1421C4⋊C4—41no—
1422C4⋊C4—41no—
1423C4⋊C4—41no—
1424C4⋊C4—41no—
1425C4⋊C4—41no—
1426C4⋊C4—41no—
1427C4⋊C4—41no—
1428C4⋊C4—41no—
1429C22⋊C4—22no—
1430C22⋊C4—22no—
1431C22⋊C4—22no—
1432C22⋊C4—22no—
1433C22⋊C4—22no—
1434C22⋊C4—22no—
1435C22⋊C4—22no—
1436C22⋊C4—22no—
1437C22⋊C4—22no—
1438C22⋊C4—22no—
1439C22⋊C4—22no—
1440C22⋊C4—22no—
1441C22⋊C4—22no—
1442C22⋊C4—22no—
1443C22⋊C4—22no—
1444C22⋊C4—41no—
1445C22⋊C4—41no—
1446C22⋊C4—41no—
1447C22⋊C4—41no—
1448C22⋊C4—41no—
1449C22⋊C4—41no—
1450C22⋊C4—41no—
1451C22⋊C4—41no—
1452C22⋊C4—41no—
1453C22⋊C4—41no—
1454C22⋊C4—41no—
1455C22⋊C4—41no—
1456C22⋊C4—41no—
1457C22⋊C4—41no—
1458C22⋊C4—41no—
1459C22⋊C4—41no—
1460C22⋊C4—41no—
1461C22⋊C4—41no—
1462C22⋊C4—41no—
1463C22⋊C4—41no—
1464C22⋊C4—41no—
1465C22⋊C4—41no—
1466C22⋊C4—41no—
1467C22⋊C4—41no—
1468C22⋊C4—41no—
1469C22⋊C4—41no—
1470C22⋊C4—41no—
1471C22⋊C4—41no—
1472C22⋊C4—41no—
1473C22⋊C4—41no—
1474C22⋊C4—41no—
1475C22⋊C4—41no—
1476C22⋊C4—41no—
1477C22⋊C4—41no—
1478C22⋊C4—41no—
1479C22⋊C4—41no—
1480C22⋊C4—41no—
1481C22⋊C4—41no—
1482C22⋊C4—41no—
1483C22⋊C4—41no—
1484C22⋊C4—41no—
1485C22⋊C4—41no—
1486C22⋊C4—41no—
1487C42—22no—
1488C42—41no—
1489C42—41no—
1490C42—41no—
1491C42—41no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—28no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—21no—
1535C23—21no—
1536C23—21no—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—44no—
1545C23—44no—
1546C23—44no—
1547C23—44no—
1548C23—44no—
1549C23—44no—
1550C23—44no—
1551C23—44no—
1552C23—44no—
1553C23—82no—
1554C23—82no—
1555C23—82no—
1556C23—82no—
1557C23C2×#41×C8912yes—
1558C23H(5,𝔽2)×C8912yes—
1559C23H(5,𝔽2)×C8912yes—
1560C23H(5,𝔽2)×C8912yes—
1561C23H(5,𝔽2)×C8912yes—
1562C23C25×C8911yescharacteristic
1563D4—44no—
1564D4—44no—
1565D4—44no—
1566D4—44no—
1567D4—44no—
1568D4—44no—
1569D4—44no—
1570D4—82no—
1571D4—82no—
1572D4—82no—
1573D4—82no—
1574D4—82no—
1575D4—82no—
1576D4—82no—
1577D4—82no—
1578D4—82no—
1579D4—82no—
1580D4—82no—
1581D4—82no—
1582D4—82no—
1583D4—82no—
1584D4—82no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—44no—
1652C2×C4—44no—
1653C2×C4—44no—
1654C2×C4—44no—
1655C2×C4—44no—
1656C2×C4—44no—
1657C2×C4—44no—
1658C2×C4—82no—
1659C2×C4—82no—
1660C2×C4—82no—
1661C2×C4—82no—
1662C2×C4—82no—
1663C2×C4C2×#41×C8912yes—
1664C2×C4C2×#41×C8912yes—
1665C2×C4H(5,𝔽2)×C8912yes—
1666C22—22no—
1667C22—22no—
1668C22—22no—
1669C22—22no—
1670C22—22no—
1671C22—22no—
1672C22—22no—
1673C22—22no—
1674C22—22no—
1675C22—22no—
1676C22—22no—
1677C22—22no—
1678C22—416no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—88no—
1723C22#540×C8914yes—
1724C22C22×#41×C8911yescharacteristic
1725C22C2×H(5,𝔽2)×C8911yescharacteristic
1726C22C2×H(5,𝔽2)×C8911yescharacteristic
1727C22C2×H(5,𝔽2)×C8911yescharacteristic
1728C22C2×H(5,𝔽2)×C8911yescharacteristic
1729C22C2×H(5,𝔽2)×C8911yescharacteristic
1730C22#585×C8911yescharacteristic
1731C4—22no—
1732C4—22no—
1733C4—22no—
1734C4—41no—
1735C4—41no—
1736C4—41no—
1737C4—41no—
1738C4—41no—
1739C4—41no—
1740C4—41no—
1741C4—41no—
1742C4—41no—
1743C4—41no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—41no—
1748C4—41no—
1749C4—41no—
1750C4—41no—
1751C4—41no—
1752C4—41no—
1753C4—41no—
1754C2—24no—
1755C2—42no—
1756C2—42no—
1757C2—81no—
1758C2—81no—
1759C2—81no—
1760C2—81no—
1761C2—81no—
1762C2C2×#540×C8911yescharacteristic
1763C2C89×#349011yescharacteristic
1764C2C89×#350611yescharacteristic
1765C2C89×#353211yescharacteristic
1766C2C89×#353411yescharacteristic
1767C2C89×#353411yescharacteristic
1768C2C89×#353711yescharacteristic
subgroupG/H
center, socleC23×C89C25
commutator, Frattini, cosocleC23C25×C89
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×#2847C2semidirect
3. C89×#2797C2semidirect
4. C89×#2786C2semidirect
5. C89×#2756C2semidirect
6. C89×#2753C2semidirect
7. C89×#2752C2semidirect
8. C89×#2749C2semidirect
9. C89×#2740C2semidirect
10. C89×#2709C2semidirect
11. C89×#2709C2semidirect
12. C89×#2706C2semidirect
13. C89×#2703C2semidirect
14. C89×#2699C2semidirect
15. C89×#2688C2semidirect
16. C89×#2673C2semidirect
17. C89×#2673C2semidirect
18. C89×#2671C2semidirect
19. C89×#2622C2semidirect
20. C89×#2617C2semidirect
21. C89×#2569C2semidirect
22. C89×#2543C2semidirect
23. C89×#2433C2semidirect
24. C89×#2424C2semidirect
25. C89×#2424C2semidirect
26. C89×#2418C2semidirect
27. C89×#2418C2semidirect
28. C89×#2408C2semidirect
29. C89×#2325C2semidirect
30. C89×#2318C2semidirect
31. C2×#386×C89C2semidirect
36. C2×#123×C89C22semidirect
37. C2×#123×C89C22semidirect
38. C2×#123×C89C22semidirect
39. C2×#123×C89C22semidirect
45. C2×#121×C89C22semidirect
46. C2×#121×C89C22semidirect
47. C2×#121×C89C22semidirect
48. C2×#121×C89C22semidirect
61. #400×C89C22semidirect
62. #400×C89C22semidirect
63. #399×C89C22semidirect
64. #399×C89C22semidirect
65. #398×C89C22semidirect
66. #398×C89C22semidirect
67. #398×C89C22semidirect
68. #397×C89C22semidirect
69. #397×C89C22semidirect
70. #397×C89C22semidirect
71. #397×C89C22semidirect
72. #397×C89C22semidirect
73. #397×C89C22semidirect
74. #397×C89C22semidirect
75. #397×C89C22semidirect
76. #397×C89C22semidirect
77. #396×C89C22semidirect
78. #396×C89C22semidirect
81. #394×C89C22semidirect
82. #394×C89C22semidirect
83. #394×C89C22semidirect
84. #394×C89C22semidirect
85. #394×C89C22semidirect
86. #394×C89C22semidirect
87. #394×C89C22semidirect
88. #394×C89C22semidirect
89. #394×C89C22semidirect
90. #394×C89C22semidirect
91. #394×C89C22semidirect
92. #394×C89C22semidirect
93. #394×C89C22semidirect
94. #394×C89C22semidirect
95. #394×C89C22semidirect
96. #394×C89C22semidirect
97. #394×C89C22semidirect
104. #392×C89C22semidirect
105. #392×C89C22semidirect
106. #392×C89C22semidirect
107. #392×C89C22semidirect
108. #392×C89C22semidirect
113. #390×C89C22semidirect
114. #390×C89C22semidirect
115. #388×C89C22semidirect
116. #388×C89C22semidirect
117. #388×C89C22semidirect
118. #388×C89C22semidirect
119. #388×C89C22semidirect
120. #388×C89C22semidirect
121. #388×C89C22semidirect
122. #388×C89C22semidirect
123. #388×C89C22semidirect
124. #388×C89C22semidirect
125. #388×C89C22semidirect
126. #388×C89C22semidirect
127. #387×C89C22semidirect
128. #387×C89C22semidirect
129. #387×C89C22semidirect
130. #387×C89C22semidirect
131. #387×C89C22semidirect
132. #387×C89C22semidirect
133. #387×C89C22semidirect
134. #387×C89C22semidirect
149. #386×C89C22semidirect
150. #386×C89C22semidirect
151. #386×C89C22semidirect
152. #386×C89C22semidirect
153. #386×C89C22semidirect
154. #386×C89C22semidirect
155. #386×C89C22semidirect
156. #386×C89C22semidirect
157. #386×C89C22semidirect
158. #386×C89C22semidirect
159. #386×C89C22semidirect
160. #386×C89C22semidirect
161. #386×C89C22semidirect
162. #386×C89C22semidirect
167. #385×C89C22semidirect
168. #385×C89C22semidirect
169. #385×C89C22semidirect
170. #385×C89C22semidirect
171. #383×C89C22semidirect
172. #382×C89C22semidirect
173. #381×C89C22semidirect
174. #381×C89C22semidirect
175. #381×C89C22semidirect
179. #380×C89C22semidirect
180. #380×C89C22semidirect
181. #380×C89C22semidirect
869. #36794C89direct (N × H)
885. #2849C2×C89semidirect
886. #2847C2×C89semidirect
887. #2797C2×C89semidirect
888. #2786C2×C89semidirect
889. #2756C2×C89semidirect
890. #2753C2×C89semidirect
891. #2752C2×C89semidirect
892. #2749C2×C89semidirect
893. #2740C2×C89semidirect
894. #2709C2×C89semidirect
895. #2709C2×C89semidirect
896. #2706C2×C89semidirect
897. #2703C2×C89semidirect
898. #2699C2×C89semidirect
899. #2688C2×C89semidirect
900. #2673C2×C89semidirect
901. #2673C2×C89semidirect
902. #2671C2×C89semidirect
903. #2622C2×C89semidirect
904. #2617C2×C89semidirect
905. #2569C2×C89semidirect
906. #2543C2×C89semidirect
907. #2433C2×C89semidirect
908. #2424C2×C89semidirect
909. #2424C2×C89semidirect
910. #2418C2×C89semidirect
911. #2418C2×C89semidirect
912. #2408C2×C89semidirect
913. #2325C2×C89semidirect
914. #2318C2×C89semidirect
915. C2×#386C2×C89semidirect
916. C89#36794direct (N × H)
921. C2×#123C22×C89semidirect
922. C2×#123C22×C89semidirect
923. C2×#123C22×C89semidirect
924. C2×#123C22×C89semidirect
930. C2×#121C22×C89semidirect
931. C2×#121C22×C89semidirect
932. C2×#121C22×C89semidirect
933. C2×#121C22×C89semidirect
946. #400C22×C89semidirect
947. #400C22×C89semidirect
948. #399C22×C89semidirect
949. #399C22×C89semidirect
950. #398C22×C89semidirect
951. #398C22×C89semidirect
952. #398C22×C89semidirect
953. #397C22×C89semidirect
954. #397C22×C89semidirect
955. #397C22×C89semidirect
956. #397C22×C89semidirect
957. #397C22×C89semidirect
958. #397C22×C89semidirect
959. #397C22×C89semidirect
960. #397C22×C89semidirect
961. #397C22×C89semidirect
962. #396C22×C89semidirect
963. #396C22×C89semidirect
966. #394C22×C89semidirect
967. #394C22×C89semidirect
968. #394C22×C89semidirect
969. #394C22×C89semidirect
970. #394C22×C89semidirect
971. #394C22×C89semidirect
972. #394C22×C89semidirect
973. #394C22×C89semidirect
974. #394C22×C89semidirect
975. #394C22×C89semidirect
976. #394C22×C89semidirect
977. #394C22×C89semidirect
978. #394C22×C89semidirect
979. #394C22×C89semidirect
980. #394C22×C89semidirect
981. #394C22×C89semidirect
982. #394C22×C89semidirect
989. #392C22×C89semidirect
990. #392C22×C89semidirect
991. #392C22×C89semidirect
992. #392C22×C89semidirect
993. #392C22×C89semidirect
998. #390C22×C89semidirect
999. #390C22×C89semidirect
1000. #388C22×C89semidirect
1001. #388C22×C89semidirect
1002. #388C22×C89semidirect
1003. #388C22×C89semidirect
1004. #388C22×C89semidirect
1005. #388C22×C89semidirect
1006. #388C22×C89semidirect
1007. #388C22×C89semidirect
1008. #388C22×C89semidirect
1009. #388C22×C89semidirect
1010. #388C22×C89semidirect
1011. #388C22×C89semidirect
1012. #387C22×C89semidirect
1013. #387C22×C89semidirect
1014. #387C22×C89semidirect
1015. #387C22×C89semidirect
1016. #387C22×C89semidirect
1017. #387C22×C89semidirect
1018. #387C22×C89semidirect
1019. #387C22×C89semidirect
1034. #386C22×C89semidirect
1035. #386C22×C89semidirect
1036. #386C22×C89semidirect
1037. #386C22×C89semidirect
1038. #386C22×C89semidirect
1039. #386C22×C89semidirect
1040. #386C22×C89semidirect
1041. #386C22×C89semidirect
1042. #386C22×C89semidirect
1043. #386C22×C89semidirect
1044. #386C22×C89semidirect
1045. #386C22×C89semidirect
1046. #386C22×C89semidirect
1047. #386C22×C89semidirect
1052. #385C22×C89semidirect
1053. #385C22×C89semidirect
1054. #385C22×C89semidirect
1055. #385C22×C89semidirect
1056. #383C22×C89semidirect
1057. #382C22×C89semidirect
1058. #381C22×C89semidirect
1059. #381C22×C89semidirect
1060. #381C22×C89semidirect
1064. #380C22×C89semidirect
1065. #380C22×C89semidirect
1066. #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×#28472
C89×#27972
C89×#27862
C89×#27562
C89×#27532
C89×#27522
C89×#27492
C89×#27402
C89×#27092
C89×#27062
C89×#27032
C89×#26992
C89×#26882
C89×#26732
C89×#26712
C89×#26222
C89×#26172
C89×#25692
C89×#25432
C89×#24332
C89×#24242
C89×#24182
C89×#24082
C89×#23252
C89×#23182
C2×#386×C892
#3679489