Finite Group Databasebeta

← #36720370

Subgroups — #36720370

Order 22784.

2464 conjugacy classes of subgroups.

The subgroup lattice has 1654 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19152338C211yesmaximal, characteristic
2#26023407C211yesmaximal, characteristic, complemented
3#26023405C211yesmaximal, characteristic, complemented
4#26023394C211yesmaximal, characteristic, complemented
5#26023377C211yesmaximal, characteristic, complemented
6#26023365C211yesmaximal, characteristic, complemented
7#26023315C211yesmaximal, characteristic, complemented
8#26023302C211yesmaximal, characteristic, complemented
9#26023296C211yesmaximal, characteristic, complemented
10#26023292C211yesmaximal, characteristic, complemented
11#26023288C211yesmaximal, characteristic, complemented
12#26023248C211yesmaximal, characteristic, complemented
13#26023247C211yesmaximal, characteristic, complemented
14#26023232C211yesmaximal, characteristic, complemented
15#26023230C211yesmaximal, characteristic, complemented
16#26023228C211yesmaximal, characteristic, complemented
17#26023040C211yesmaximal, characteristic, complemented
18#26023030C211yesmaximal, characteristic, complemented
19#26023026C211yesmaximal, characteristic, complemented
20#26022976C211yesmaximal, characteristic, complemented
21#26022952C211yesmaximal, characteristic, complemented
22#26022951C211yesmaximal, characteristic, complemented
23#26022941C211yesmaximal, characteristic, complemented
24#26022940C211yesmaximal, characteristic, complemented
25#26022912C211yesmaximal, characteristic, complemented
26#26022911C211yesmaximal, characteristic, complemented
27#26022905C211yesmaximal, characteristic, complemented
28C4×#15667994C211yesmaximal, characteristic, complemented
29#26022764C211yesmaximal, characteristic, complemented
30#26022760C211yesmaximal, characteristic, complemented
31C89×#2335C211yesmaximal, characteristic, complemented
32#19152338C4116yescomplemented
33C2×#15668008C2211yescharacteristic
34C2×#15668007C2211yescharacteristic
35C2×#15668007C2211yescharacteristic
36C2×#15667994C2211yescharacteristic
37C2×#15667994C2211yescharacteristic
38C2×#15667987C2211yescharacteristic
39C2×#15667987C2211yescharacteristic
40C2×#15667986C2211yescharacteristic
41C2×#15667986C2211yescharacteristic
42C2×#15667985C2211yescharacteristic
43C2×#15667985C2211yescharacteristic
44C2×#15667982C2211yescharacteristic
45C2×#15667982C2211yescharacteristic
46C2×#15667980C2211yescharacteristic
47C2×C4×D356C2211yescharacteristic
48C2×D4×Dic89C2211yescharacteristic
49C2×#15667974C2211yescharacteristic
50C2×#15667974C2211yescharacteristic
51C2×#15667974C2211yescharacteristic
52C2×#15667974C2211yescharacteristic, complemented
53C2×C4×C22⋊D89C2211yescharacteristic
54C2×C4×C22⋊D89C2211yescharacteristic
55C2×#15667972C2211yescharacteristic
56C2×#15667972C2211yescharacteristic
57C2×#15667972C2211yescharacteristic, complemented
58C2×#15667972C2211yescharacteristic, complemented
59C2×#15667971C2211yescharacteristic, complemented
60C2×#15667970C2211yescharacteristic, complemented
61C22×#13083551C2211yescharacteristic
62C2×C22⋊C4×D89C2211yescharacteristic
63C2×C22⋊C4×D89C2211yescharacteristic
64C2×C42×D89C2211yescharacteristic, complemented
65#19151500C2211yescharacteristic
66#19151500C2211yescharacteristic
67#19151500C2211yescharacteristic
68#19151500C2211yescharacteristic, complemented
69#19151499C2211yescharacteristic
70#19151498C2211yescharacteristic
71#19151498C2211yescharacteristic
72#19151498C2211yescharacteristic
73#19151498C2211yescharacteristic
74#19151498C2211yescharacteristic, complemented
75#19151498C2211yescharacteristic, complemented
76#19151497C2211yescharacteristic, complemented
77#19151496C2211yescharacteristic, complemented
78#19151495C2211yescharacteristic, complemented
79#19151494C2211yescharacteristic, complemented
80#19151493C2211yescharacteristic, complemented
81#19151492C2211yescharacteristic
82#19151492C2211yescharacteristic
83#19151491C2211yescharacteristic
84#19151491C2211yescharacteristic
85#19151490C2211yescharacteristic
86#19151490C2211yescharacteristic
87#19151490C2211yescharacteristic
88#19151490C2211yescharacteristic, complemented
89#19151489C2211yescharacteristic
90#19151489C2211yescharacteristic
91#19151489C2211yescharacteristic
92#19151489C2211yescharacteristic, complemented
93#19151488C2211yescharacteristic
94#19151488C2211yescharacteristic
95#19151488C2211yescharacteristic
96#19151488C2211yescharacteristic, complemented
97#19151487C2211yescharacteristic
98#19151487C2211yescharacteristic
99#19151487C2211yescharacteristic
100#19151487C2211yescharacteristic, complemented
101#19151485C2211yescharacteristic, complemented
102#19151484C2211yescharacteristic, complemented
103#19151484C2211yescharacteristic, complemented
104#19151483C2211yescharacteristic, complemented
105#19151483C2211yescharacteristic, complemented
106#19151482C2211yescharacteristic, complemented
107#19151481C2211yescharacteristic, complemented
108#19151481C2211yescharacteristic, complemented
109#19151480C2211yescharacteristic, complemented
110#19151479C2211yescharacteristic, complemented
111#19151478C2211yescharacteristic
112#19151476C2211yescharacteristic
113#19151476C2211yescharacteristic
114#19151476C2211yescharacteristic
115#19151476C2211yescharacteristic
116#19151476C2211yescharacteristic
117#19151476C2211yescharacteristic
118#19151476C2211yescharacteristic
119#19151476C2211yescharacteristic
120#19151476C2211yescharacteristic, complemented
121#19151476C2211yescharacteristic, complemented
122#19151475C2211yescharacteristic
123#19151475C2211yescharacteristic
124#19151475C2211yescharacteristic
125#19151475C2211yescharacteristic
126#19151475C2211yescharacteristic, complemented
127#19151475C2211yescharacteristic, complemented
128#19151474C2211yescharacteristic
129#19151474C2211yescharacteristic
130#19151474C2211yescharacteristic
131#19151474C2211yescharacteristic
132#19151474C2211yescharacteristic, complemented
133#19151474C2211yescharacteristic, complemented
134#19151473C2211yescharacteristic
135#19151473C2211yescharacteristic, complemented
136#19151472C2211yescharacteristic
137#19151472C2211yescharacteristic
138#19151472C2211yescharacteristic
139#19151472C2211yescharacteristic, complemented
140#19151470C2211yescharacteristic
141#19151469C2211yescharacteristic
142#19151469C2211yescharacteristic
143#19151469C2211yescharacteristic
144#19151469C2211yescharacteristic, complemented
145#19151463C2211yescharacteristic, complemented
146#19151460C2211yescharacteristic, complemented
147#19151457C2211yescharacteristic, complemented
148#19151457C2211yescharacteristic, complemented
149#19151455C2211yescharacteristic, complemented
150#19151453C2211yescharacteristic
151C4⋊C4×Dic89C2211yescharacteristic, complemented
152C4⋊C4×Dic89C2211yescharacteristic, complemented
153C4×#13083553C2211yescharacteristic, complemented
154C4×C4⋊Dic89C2211yescharacteristic, complemented
155#19151449C2211yescharacteristic, complemented
156#19151449C2211yescharacteristic, complemented
157#19151449C2211yescharacteristic, complemented
158C22⋊C4×Dic89C2211yescharacteristic
159C22⋊C4×Dic89C2211yescharacteristic, complemented
160C4×#13083551C2211yescharacteristic
161C4×#13083551C2211yescharacteristic
162C4×#13083551C2211yescharacteristic
163C4×#13083551C2211yescharacteristic, complemented
164C4×#13083551C2211yescharacteristic, complemented
165C4×C22⋊Dic89C2211yescharacteristic
166#19151445C2211yescharacteristic
167#19151445C2211yescharacteristic
168#19151445C2211yescharacteristic
169#19151445C2211yescharacteristic, complemented
170#19151444C2211yescharacteristic, complemented
171C2×#15667919C2211yescharacteristic, complemented
172#95×D89C2211yescharacteristic, complemented
173C2×#123×C89C2211yescharacteristic
174#390×C89C2211yescharacteristic
175#389×C89C2211yescharacteristic, complemented
176#388×C89C2211yescharacteristic
177#388×C89C2211yescharacteristic
178#388×C89C2211yescharacteristic, complemented
179#388×C89C2211yescharacteristic, complemented
180#387×C89C2211yescharacteristic, complemented
181#387×C89C2211yescharacteristic, complemented
182#386×C89C2211yescharacteristic
183#385×C89C2211yescharacteristic
184#380×C89C2211yescharacteristic, complemented
185C4×C4⋊C4×C89C2211yescharacteristic, complemented
186C4×C22⋊C4×C89C2211yescharacteristic
187C4×C22⋊C4×C89C2211yescharacteristic, complemented
188C24×D89C2311yescharacteristic
189C22×D356C2311yescharacteristic
190C22×D356C2311yescharacteristic
191C22×D356C2311yescharacteristic
192C22×D356C2311yescharacteristic
193C22×D356C2311yescharacteristic
194C22×C22⋊D89C2311yescharacteristic
195C22×C22⋊D89C2311yescharacteristic
196C22×C22⋊D89C2311yescharacteristic
197C22×C22⋊D89C2311yescharacteristic
198C22×C22⋊D89C2311yescharacteristic
199C22×C22⋊D89C2311yescharacteristic
200C23×Dic89C2311yescharacteristic
201C23×Dic89C2311yescharacteristic
202C23×Dic89C2311yescharacteristic
203C22×C4×D89C2311yescharacteristic
204C22×C4×D89C2311yescharacteristic
205C22×C4×D89C2311yescharacteristic
206C22×C4×D89C2311yescharacteristic
207C22×C4×D89C2311yescharacteristic
208C22×C4×D89C2311yescharacteristic
209C22×C4×D89C2311yescharacteristic
210C22×C4×D89C2311yescharacteristic
211C22×C4×D89C2311yescharacteristic
212C22×C4×D89C2311yescharacteristic
213#15668008C2×C418yescomplemented
214#15668007C2×C418yescomplemented
215#15668007C2×C418yescomplemented
216#15667994C2×C418yescomplemented
217#15667994C2×C418yescomplemented
218#15667987C2×C418yescomplemented
219#15667987C2×C418yescomplemented
220#15667986C2×C418yescomplemented
221#15667986C2×C418yescomplemented
222#15667985C2×C418yescomplemented
223#15667985C2×C418yescomplemented
224#15667982C2×C418yescomplemented
225#15667982C2×C418yescomplemented
226#15667980C2×C418yescomplemented
227C4×D356—42no—
228D4×Dic89—42no—
229#15667974—42no—
230#15667974—42no—
231#15667974—42no—
232#15667974—42no—
233C4×C22⋊D89—42no—
234C4×C22⋊D89—42no—
235#15667972—42no—
236#15667972—42no—
237#15667972—42no—
238#15667972—42no—
239#15667971—42no—
240#15667970—42no—
241C2×C4⋊Dic89C2311yescharacteristic
242C2×C4⋊Dic89C2311yescharacteristic
243C2×C4⋊Dic89C2311yescharacteristic
244C2×C4⋊Dic89C2311yescharacteristic
245C2×C4⋊Dic89C2311yescharacteristic
246C2×C4⋊Dic89C2311yescharacteristic
247C2×C4⋊Dic89C2311yescharacteristic
248C2×#13083553C2311yescharacteristic
249C2×#13083553C2311yescharacteristic
250C2×#13083553C2311yescharacteristic
251C2×#13083553C2311yescharacteristic
252C2×#13083553C2311yescharacteristic
253C2×#13083553C2311yescharacteristic
254C2×#13083553C2311yescharacteristic
255C2×#13083553C2311yescharacteristic
256C2×#13083553C2311yescharacteristic
257C2×#13083553C2311yescharacteristic
258C2×C22⋊Dic89C2311yescharacteristic
259C2×C22⋊Dic89C2311yescharacteristic
260C2×C22⋊Dic89C2311yescharacteristic
261C2×C22⋊Dic89C2311yescharacteristic
262C2×C22⋊Dic89C2311yescharacteristic
263C2×C22⋊Dic89C2311yescharacteristic
264C2×#13083551—42no—
265C2×#13083551C2311yescharacteristic
266C2×#13083551C2311yescharacteristic
267C2×#13083551C2311yescharacteristic
268C2×#13083551C2311yescharacteristic
269C2×#13083551C2311yescharacteristic
270C2×#13083551C2311yescharacteristic
271C2×#13083551C2311yescharacteristic
272C2×#13083551C2311yescharacteristic
273C2×#13083551C2311yescharacteristic
274C2×#13083551C2311yescharacteristic
275C2×#13083551C2311yescharacteristic
276C2×#13083551C2311yescharacteristic
277C2×#13083551C2311yescharacteristic
278C2×#13083551C2311yescharacteristic
279C2×#13083551C2311yescharacteristic
280C2×#13083551C2311yescharacteristic
281C2×#13083551C2311yescharacteristic
282C2×#13083551C2311yescharacteristic
283C2×#13083551C2311yescharacteristic
284C2×#13083551C2311yescharacteristic
285C2×#13083551C2311yescharacteristic
286C2×#13083551C2311yescharacteristic
287C2×#13083551C2311yescharacteristic
288C2×#13083551C2311yescharacteristic
289C2×#13083551C2311yescharacteristic
290C2×#13083551C2311yescharacteristic
291C2×#13083551C2311yescharacteristic
292C2×#13083551C2311yescharacteristic
293C2×#13083551C2311yescharacteristic
294C2×#13083551C2311yescharacteristic
295C2×#13083551C2311yescharacteristic
296C2×#13083551C2311yescharacteristic
297C22⋊C4×D89—42no—
298C22⋊C4×D89—42no—
299C2×C4×Dic89C2311yescharacteristic
300C2×C4×Dic89C2311yescharacteristic
301C2×C4×Dic89C2311yescharacteristic
302C2×C4×Dic89C2311yescharacteristic
303C2×C4×Dic89C2311yescharacteristic
304C2×C4×Dic89C2311yescharacteristic
305C2×C4×Dic89C2311yescharacteristic
306C2×C4×Dic89C2311yescharacteristic
307C2×C4×Dic89C2311yescharacteristic
308C2×C4×Dic89C2311yescharacteristic
309C2×C4×Dic89C2311yescharacteristic
310C2×C4×Dic89C2311yescharacteristic
311C2×C4×Dic89C2311yescharacteristic
312C2×C4×Dic89C2311yescharacteristic
313C42×D89—42no—
314#15667919C2311yescharacteristic
315#15667919C2311yescharacteristic
316#15667919C2311yescharacteristic
317#15667919C2311yescharacteristic
318#15667919C2311yescharacteristic
319#15667919C2311yescharacteristic
320#15667919C2311yescharacteristic
321#15667919C2311yescharacteristic
322#15667919C2311yescharacteristic
323#15667919C2311yescharacteristic
324#15667919C2311yescharacteristic
325#15667919C2311yescharacteristic
326#15667919C2311yescharacteristic
327#15667919C2311yescharacteristic
328#15667919C2311yescharacteristic
329#15667919C2311yescharacteristic
330#15667919C2311yescharacteristic
331#15667919C2311yescharacteristic
332#15667919C2311yescharacteristic
333#15667919C2311yescharacteristic
334#15667919C2311yescharacteristic
335#15667919C2311yescharacteristic
336#15667919C2311yescharacteristic
337#15667919C2311yescharacteristic
338#15667919C2311yescharacteristic
339#15667919C2311yescharacteristic
340C22×D4×C89C2311yescharacteristic
341C23×C4×C89C2311yescharacteristic
342C23×C4×C89C2311yescharacteristic
343#123×C89C2×C418yescomplemented
344C2×C4⋊C4×C89C2311yescharacteristic
345C2×C4⋊C4×C89C2311yescharacteristic
346C2×C4⋊C4×C89C2311yescharacteristic
347C2×C4⋊C4×C89C2311yescharacteristic
348C2×C4⋊C4×C89C2311yescharacteristic
349C2×C4⋊C4×C89C2311yescharacteristic
350C2×C4⋊C4×C89C2311yescharacteristic
351C2×C22⋊C4×C89C2311yescharacteristic
352C2×C22⋊C4×C89C2311yescharacteristic
353C2×C22⋊C4×C89C2311yescharacteristic
354C2×C22⋊C4×C89C2311yescharacteristic
355C2×C22⋊C4×C89C2311yescharacteristic
356C2×C22⋊C4×C89C2311yescharacteristic
357C2×C22⋊C4×C89C2311yescharacteristic
358C2×C22⋊C4×C89C2311yescharacteristic
359C2×C22⋊C4×C89C2311yescharacteristic
360C2×C22⋊C4×C89C2311yescharacteristic
361C2×C42×C89C2311yescharacteristic
362C2×C42×C89C2311yescharacteristic
363C2×C42×C89C2311yescharacteristic
364C2×C42×C89C2311yescharacteristic
365C2×C42×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
375#95×C89C2311yescharacteristic
376C23×D89—41no—
377C23×D89—41no—
378C23×D89—41no—
379C23×D89—41no—
380C23×D89—41no—
381C23×D89—41no—
382C23×D89C22×C414yes—
383C23×D89C2411yescharacteristic
384C23×D89C2411yescharacteristic
385C23×D89C2411yescharacteristic
386C23×D89C2411yescharacteristic
387C2×D356—41no—
388C2×D356—41no—
389C2×D356—41no—
390C2×D356—41no—
391C2×D356—41no—
392C2×D356—41no—
393C2×D356—41no—
394C2×D356—41no—
395C2×D356—41no—
396C2×D356—41no—
397C2×D356C22×C414yes—
398C2×D356C22×C414yes—
399C2×D356C22×C414yes—
400C2×D356C22×C414yes—
401C2×D356C22×C414yes—
402C2×C22⋊D89—41no—
403C2×C22⋊D89—41no—
404C2×C22⋊D89—41no—
405C2×C22⋊D89—41no—
406C2×C22⋊D89—41no—
407C2×C22⋊D89—41no—
408C2×C22⋊D89—41no—
409C2×C22⋊D89—41no—
410C2×C22⋊D89—41no—
411C2×C22⋊D89—41no—
412C2×C22⋊D89—41no—
413C2×C22⋊D89—41no—
414C2×C22⋊D89C22×C414yes—
415C2×C22⋊D89C22×C414yes—
416C2×C22⋊D89C22×C414yes—
417C2×C22⋊D89C22×C414yes—
418C2×C22⋊D89C22×C414yes—
419C2×C22⋊D89C22×C414yes—
420C22×Dic89—22no—
421C22×Dic89—41no—
422C22×Dic89—41no—
423C22×Dic89—41no—
424C22×Dic89—41no—
425C22×Dic89—41no—
426C22×Dic89—41no—
427C22×Dic89—41no—
428C22×Dic89—41no—
429C22×Dic89C2411yescharacteristic
430C22×Dic89C2411yescharacteristic
431C22×Dic89C2411yescharacteristic
432C22×Dic89C2411yescharacteristic
433C22×Dic89C2411yescharacteristic
434C22×Dic89C2411yescharacteristic
435C22×Dic89C2411yescharacteristic
436C22×Dic89C2411yescharacteristic
437C22×Dic89C2411yescharacteristic
438C22×Dic89C2411yescharacteristic
439C22×Dic89C2411yescharacteristic
440C22×Dic89C2411yescharacteristic
441C2×C4×D89—22no—
442C2×C4×D89—22no—
443C2×C4×D89—22no—
444C2×C4×D89—22no—
445C2×C4×D89—22no—
446C2×C4×D89—22no—
447C2×C4×D89—41no—
448C2×C4×D89—41no—
449C2×C4×D89—41no—
450C2×C4×D89—41no—
451C2×C4×D89—41no—
452C2×C4×D89—41no—
453C2×C4×D89—41no—
454C2×C4×D89—41no—
455C2×C4×D89—41no—
456C2×C4×D89—41no—
457C2×C4×D89—41no—
458C2×C4×D89—41no—
459C2×C4×D89—41no—
460C2×C4×D89—41no—
461C2×C4×D89—41no—
462C2×C4×D89—41no—
463C2×C4×D89—41no—
464C2×C4×D89—41no—
465C2×C4×D89—41no—
466C2×C4×D89—41no—
467C2×C4×D89—41no—
468C2×C4×D89—41no—
469C2×C4×D89C22×C414yes—
470C2×C4×D89C22×C414yes—
471C4⋊Dic89—22no—
472C4⋊Dic89—41no—
473C4⋊Dic89—41no—
474C4⋊Dic89—41no—
475C4⋊Dic89—41no—
476C4⋊Dic89C22×C414yes—
477C4⋊Dic89C22×C414yes—
478#13083553—22no—
479#13083553—22no—
480#13083553—41no—
481#13083553—41no—
482#13083553—41no—
483#13083553—41no—
484#13083553—41no—
485#13083553—41no—
486#13083553C22×C414yes—
487#13083553C22×C414yes—
488C22⋊Dic89—22no—
489C22⋊Dic89—22no—
490C22⋊Dic89—22no—
491C22⋊Dic89—41no—
492C22⋊Dic89—41no—
493C22⋊Dic89C22×C414yes—
494#13083551—22no—
495#13083551—22no—
496#13083551—22no—
497#13083551—22no—
498#13083551—22no—
499#13083551—22no—
500#13083551—41no—
501#13083551—41no—
502#13083551—41no—
503#13083551—41no—
504#13083551—41no—
505#13083551—41no—
506#13083551—41no—
507#13083551—41no—
508#13083551—41no—
509#13083551—41no—
510#13083551—41no—
511#13083551—41no—
512#13083551—41no—
513#13083551—41no—
514#13083551—41no—
515#13083551—41no—
516#13083551—41no—
517#13083551—41no—
518#13083551C22×C414yes—
519#13083551C22×C414yes—
520#13083551C22×C414yes—
521#13083551C22×C414yes—
522#13083551C22×C414yes—
523#13083551C22×C414yes—
524#13083551C22×C414yes—
525#13083551C22×C414yes—
526C4×Dic89—22no—
527C4×Dic89—22no—
528C4×Dic89—22no—
529C4×Dic89—22no—
530C4×Dic89—22no—
531C4×Dic89—41no—
532C4×Dic89—41no—
533C4×Dic89—41no—
534C4×Dic89—41no—
535C4×Dic89—41no—
536C4×Dic89—41no—
537C4×Dic89—41no—
538C4×Dic89—41no—
539C4×Dic89C22×C414yes—
540C24×C89C2411yescharacteristic
541C24×C89C2411yescharacteristic
542C2×D4×C89—41no—
543C2×D4×C89—41no—
544C2×D4×C89C22×C414yes—
545C22×C4×C89—22no—
546C22×C4×C89—41no—
547C22×C4×C89—41no—
548C22×C4×C89—41no—
549C22×C4×C89—41no—
550C22×C4×C89C22×C414yes—
551C22×C4×C89C2411yescharacteristic
552C22×C4×C89C2411yescharacteristic
553C22×C4×C89C2411yescharacteristic
554C22×C4×C89C2411yescharacteristic
555C22×C4×C89C2411yescharacteristic
556C22×C4×C89C2411yescharacteristic
557C22×C4×C89C2411yescharacteristic
558C22×C4×C89C2411yescharacteristic
559C22×C4×C89C2411yescharacteristic
560C22×C4×C89C2411yescharacteristic
561C22×C4×C89C2411yescharacteristic
562C22×C4×C89C2411yescharacteristic
563C22×C4×C89C2411yescharacteristic
564C4⋊C4×C89—22no—
565C4⋊C4×C89—41no—
566C4⋊C4×C89—41no—
567C4⋊C4×C89—41no—
568C4⋊C4×C89—41no—
569C4⋊C4×C89C22×C414yes—
570C4⋊C4×C89C22×C414yes—
571C22⋊C4×C89—22no—
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×C89C22×C414yes—
579C22⋊C4×C89C22×C414yes—
580C22⋊C4×C89C22×C414yes—
581C42×C89—41no—
582C42×C89—41no—
583C42×C89—41no—
584C42×C89—41no—
585C42×C89—41no—
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×C89C23×C412yes—
599C23×C89C23×C412yes—
600C23×C89C2511yescharacteristic
601C22×D89—21no—
602C22×D89—21no—
603C22×D89—21no—
604C22×D89—21no—
605C22×D89—21no—
606C22×D89—21no—
607C22×D89—21no—
608C22×D89—21no—
609C22×D89—21no—
610C22×D89—21no—
611C22×D89—21no—
612C22×D89—21no—
613C22×D89—21no—
614C22×D89—21no—
615C22×D89—21no—
616C22×D89—21no—
617C22×D89—21no—
618C22×D89—21no—
619C22×D89—21no—
620C22×D89—21no—
621C22×D89—21no—
622C22×D89—21no—
623C22×D89—21no—
624C22×D89—21no—
625C22×D89—44no—
626C22×D89—44no—
627C22×D89—44no—
628C22×D89—82no—
629C22×D89—82no—
630C22×D89—82no—
631C22×D89—82no—
632C22×D89C23×C412yes—
633C22×D89C23×C412yes—
634C22×D89C23×C412yes—
635C22×D89C23×C412yes—
636D4×C89—44no—
637C2×C4×C89—21no—
638C2×C4×C89—21no—
639C2×C4×C89—21no—
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—44no—
671C2×C4×C89—82no—
672C2×C4×C89C23×C412yes—
673C2×C4×C89C23×C412yes—
674C2×C4×C89C23×C412yes—
675C2×C4×C89C23×C412yes—
676C2×C4×C89C23×C412yes—
677C2×C4×C89H(5,𝔽2)12yes—
678C22⋊D89—44no—
679C22⋊D89—44no—
680C22⋊D89—44no—
681C22⋊D89—44no—
682C22⋊D89—44no—
683C22⋊D89—44no—
684C2×Dic89—21no—
685C2×Dic89—21no—
686C2×Dic89—21no—
687C2×Dic89—21no—
688C2×Dic89—21no—
689C2×Dic89—21no—
690C2×Dic89—21no—
691C2×Dic89—21no—
692C2×Dic89—21no—
693C2×Dic89—21no—
694C2×Dic89—21no—
695C2×Dic89—21no—
696C2×Dic89—21no—
697C2×Dic89—21no—
698C2×Dic89—21no—
699C2×Dic89—21no—
700C2×Dic89—21no—
701C2×Dic89—21no—
702C2×Dic89—21no—
703C2×Dic89—21no—
704C2×Dic89—21no—
705C2×Dic89—21no—
706C2×Dic89—21no—
707C2×Dic89—21no—
708C2×Dic89—21no—
709C2×Dic89—21no—
710C2×Dic89—21no—
711C2×Dic89—21no—
712C2×Dic89—21no—
713C2×Dic89—21no—
714C2×Dic89—82no—
715C2×Dic89—82no—
716C2×Dic89—82no—
717C2×Dic89C23×C412yes—
718C2×Dic89C23×C412yes—
719C2×Dic89C23×C412yes—
720C2×Dic89C23×C412yes—
721C2×Dic89H(5,𝔽2)12yes—
722C2×Dic89H(5,𝔽2)12yes—
723D356—44no—
724D356—44no—
725D356—44no—
726D356—44no—
727D356—44no—
728C4×D89—44no—
729C4×D89—44no—
730C4×D89—44no—
731C4×D89—44no—
732C4×D89—82no—
733C4×D89—82no—
734C4×D89—82no—
735C4×D89—82no—
736C4×D89—82no—
737C4×D89—82no—
738C22×C89—22no—
739C22×C89—22no—
740C22×C89—22no—
741C22×C89—22no—
742C22×C89—22no—
743C22×C89—22no—
744C22×C89—41no—
745C22×C89—41no—
746C22×C89—41no—
747C22×C89—41no—
748C22×C89—41no—
749C22×C89—41no—
750C22×C89—41no—
751C22×C89—41no—
752C22×C89C24×C411yescharacteristic
753C22×C89C2×H(5,𝔽2)11yescharacteristic
754C22×C89C2×H(5,𝔽2)11yescharacteristic
755C22×C89C2×H(5,𝔽2)11yescharacteristic
756C22×C89#58511yescharacteristic
757C22×C89#58511yescharacteristic
758C22×C89#58511yescharacteristic
759C2×D89—22no—
760C2×D89—22no—
761C2×D89—22no—
762C2×D89—22no—
763C2×D89—22no—
764C2×D89—22no—
765C2×D89—22no—
766C2×D89—22no—
767C2×D89—22no—
768C2×D89—22no—
769C2×D89—22no—
770C2×D89—22no—
771C2×D89—41no—
772C2×D89—41no—
773C2×D89—41no—
774C2×D89—41no—
775C2×D89—41no—
776C2×D89—41no—
777C2×D89—41no—
778C2×D89—41no—
779C2×D89—41no—
780C2×D89—41no—
781C2×D89—41no—
782C2×D89—41no—
783C2×D89—41no—
784C2×D89—41no—
785C2×D89—41no—
786C2×D89—41no—
787C2×D89—88no—
788C4×C89—22no—
789C4×C89—22no—
790C4×C89—22no—
791C4×C89—22no—
792C4×C89—22no—
793C4×C89—22no—
794C4×C89—41no—
795C4×C89—41no—
796C4×C89—41no—
797C4×C89—41no—
798C4×C89—41no—
799C4×C89—41no—
800C4×C89—41no—
801Dic89—22no—
802Dic89—22no—
803Dic89—22no—
804Dic89—22no—
805Dic89—22no—
806Dic89—22no—
807Dic89—41no—
808Dic89—41no—
809Dic89—41no—
810Dic89—41no—
811Dic89—41no—
812Dic89—41no—
813#34517—891nomaximal, Sylow
814C2×C89—42no—
815C2×C89—42no—
816C2×C89C4×H(5,𝔽2)11yescharacteristic
817C2×C89C4×H(5,𝔽2)11yescharacteristic
818C2×C89C4×H(5,𝔽2)11yescharacteristic
819C2×C89#353411yescharacteristic
820C2×C89#354211yescharacteristic
821C2×C89#354611yescharacteristic
822C2×C89#356611yescharacteristic
823D89—42no—
824D89—42no—
825D89—42no—
826D89—42no—
827C2×#560—891no—
828#2377—891no—
829#2377—891no—
830#2376—891no—
831#2373—891no—
832#2373—891no—
833#2366—891no—
834#2364—891no—
835#2364—891no—
836#2363—891no—
837#2363—891no—
838#2359—891no—
839#2359—891no—
840#2358—891no—
841#2358—891no—
842#2358—891no—
843#2335—891no—
844#2335D8911yescharacteristic, complemented
845#2334—891no—
846#2334—891no—
847#2328—891no—
848#2325—891no—
849#2325—891no—
850#2324—891no—
851#2324—891no—
852#2321—891no—
853#2321—891no—
854#2321—891no—
855C4×#123—891no—
856C4×#121—891no—
857C4×#121—891no—
858C89#3451711yescharacteristic, complemented, Sylow
859#560—8916no—
860C2×#127—891no—
861C2×#126—891no—
862C2×#126—891no—
863C2×#123—891no—
864C2×#123—891no—
865C2×#123C2×D8911yescharacteristic
866C2×#121—891no—
867C2×#121—891no—
868C2×#121—891no—
869C2×#121—891no—
870C2×#121—891no—
871C2×#121—891no—
872C2×#120—891no—
873C2×#120—891no—
874C2×#120—891no—
875C2×C4×D4—891no—
876C2×C4×D4—891no—
877C2×C4×D4—891no—
878C2×C4×D4—891no—
879C2×C4×D4—891no—
880C2×C4×D4—891no—
881C2×C4×D4—891no—
882C2×C4×D4—891no—
883C2×C4×D4—891no—
884C2×C4×D4—891no—
885C2×C4×D4—891no—
886C2×C4×D4—891no—
887C2×#117—891no—
888C2×#117—891no—
889C22×C22⋊C4—891no—
890C22×C22⋊C4—891no—
891C22×C22⋊C4—891no—
892C22×C42—891no—
893#390—891no—
894#390—891no—
895#390—891no—
896#390—891no—
897#390—891no—
898#390—891no—
899#390—891no—
900#390—891no—
901#390—891no—
902#390—891no—
903#390—891no—
904#390C2×D8911yescharacteristic
905#389—891no—
906#389—891no—
907#389—891no—
908#389—891no—
909#389—891no—
910#389C2×D8911yescharacteristic, complemented
911#388—891no—
912#388—891no—
913#388—891no—
914#388—891no—
915#388—891no—
916#388—891no—
917#388—891no—
918#388—891no—
919#388—891no—
920#388—891no—
921#388—891no—
922#388—891no—
923#388—891no—
924#388—891no—
925#388—891no—
926#388—891no—
927#388—891no—
928#388—891no—
929#388—891no—
930#388—891no—
931#388C2×D8911yescharacteristic
932#388C2×D8911yescharacteristic
933#388C2×D8911yescharacteristic, complemented
934#388C2×D8911yescharacteristic, complemented
935#387—891no—
936#387—891no—
937#387—891no—
938#387—891no—
939#387—891no—
940#387—891no—
941#387—891no—
942#387—891no—
943#387—891no—
944#387—891no—
945#387C2×D8911yescharacteristic, complemented
946#387C2×D8911yescharacteristic, complemented
947#386—891no—
948#386—891no—
949#386—891no—
950#386—891no—
951#386—891no—
952#386—891no—
953#386—891no—
954#386—891no—
955#386—891no—
956#386—891no—
957#386—891no—
958#386—891no—
959#386—891no—
960#386—891no—
961#386—891no—
962#386—891no—
963#386—891no—
964#386—891no—
965#386—891no—
966#386—891no—
967#386—891no—
968#386—891no—
969#386—891no—
970#386C2×D8911yescharacteristic
971#385—891no—
972#385—891no—
973#385—891no—
974#385—891no—
975#385—891no—
976#385—891no—
977#385—891no—
978#385—891no—
979#385—891no—
980#385—891no—
981#385—891no—
982#385C2×D8911yescharacteristic
983#382—891no—
984#381—891no—
985#380—891no—
986#380—891no—
987#380—891no—
988#380C2×D8911yescharacteristic, complemented
989#379—891no—
990C4×C4⋊C4—891no—
991C4×C4⋊C4—891no—
992C4×C4⋊C4—891no—
993C4×C4⋊C4—891no—
994C4×C4⋊C4—891no—
995C4×C4⋊C4—891no—
996C4×C4⋊C4—891no—
997C4×C4⋊C4C2×D8911yescharacteristic, complemented
998C4×C22⋊C4—891no—
999C4×C22⋊C4—891no—
1000C4×C22⋊C4—891no—
1001C4×C22⋊C4—891no—
1002C4×C22⋊C4—891no—
1003C4×C22⋊C4—891no—
1004C4×C22⋊C4—891no—
1005C4×C22⋊C4—891no—
1006C4×C22⋊C4—891no—
1007C4×C22⋊C4—891no—
1008C4×C22⋊C4—891no—
1009C4×C22⋊C4—891no—
1010C4×C22⋊C4C2×D8911yescharacteristic
1011C4×C22⋊C4C2×D8911yescharacteristic, complemented
1012#376—891no—
1013C2×#95—891no—
1014C2×#95—891no—
1015C25—891no—
1016C22×D4—891no—
1017C22×D4—891no—
1018C22×D4—891no—
1019C22×D4—891no—
1020C22×D4—891no—
1021C22×D4—891no—
1022C22×D4—891no—
1023C22×D4—891no—
1024C22×D4—891no—
1025C22×D4—891no—
1026C22×D4—891no—
1027C22×D4C22×D8911yescharacteristic
1028C23×C4—891no—
1029C23×C4—891no—
1030C23×C4—891no—
1031C23×C4—891no—
1032C23×C4—891no—
1033C23×C4—891no—
1034C23×C4—891no—
1035C23×C4—891no—
1036C23×C4—891no—
1037C23×C4—891no—
1038C23×C4—891no—
1039C23×C4—891no—
1040C23×C4—891no—
1041C23×C4C22×D8911yescharacteristic
1042C23×C4C22×D8911yescharacteristic
1043#127—898no—
1044#126—898no—
1045#126—898no—
1046#123—898no—
1047#123—898no—
1048#123C4×D8918yescomplemented
1049#121—898no—
1050#121—898no—
1051#121—898no—
1052#121—898no—
1053#121—898no—
1054#121—898no—
1055#120—898no—
1056#120—898no—
1057#120—898no—
1058C4×D4—3562no—
1059C4×D4—3562no—
1060C4×D4—3562no—
1061C4×D4—3562no—
1062C4×D4—3562no—
1063C4×D4—3562no—
1064C4×D4—3562no—
1065C4×D4—3562no—
1066C4×D4—3562no—
1067C4×D4—3562no—
1068C4×D4—3562no—
1069C4×D4—3562no—
1070#117—3562no—
1071#117—3562no—
1072C2×C4⋊C4—891no—
1073C2×C4⋊C4—891no—
1074C2×C4⋊C4—891no—
1075C2×C4⋊C4—891no—
1076C2×C4⋊C4—891no—
1077C2×C4⋊C4—891no—
1078C2×C4⋊C4—891no—
1079C2×C4⋊C4—891no—
1080C2×C4⋊C4—891no—
1081C2×C4⋊C4—891no—
1082C2×C4⋊C4—891no—
1083C2×C4⋊C4—891no—
1084C2×C4⋊C4—891no—
1085C2×C4⋊C4—891no—
1086C2×C4⋊C4—891no—
1087C2×C4⋊C4—891no—
1088C2×C4⋊C4—891no—
1089C2×C4⋊C4C22×D8911yescharacteristic
1090C2×C4⋊C4C22×D8911yescharacteristic
1091C2×C4⋊C4C22×D8911yescharacteristic
1092C2×C4⋊C4C22×D8911yescharacteristic
1093C2×C4⋊C4C22×D8911yescharacteristic
1094C2×C4⋊C4C22×D8911yescharacteristic
1095C2×C4⋊C4C22×D8911yescharacteristic
1096C2×C22⋊C4—891no—
1097C2×C22⋊C4—891no—
1098C2×C22⋊C4—891no—
1099C2×C22⋊C4—891no—
1100C2×C22⋊C4—891no—
1101C2×C22⋊C4—891no—
1102C2×C22⋊C4—891no—
1103C2×C22⋊C4—891no—
1104C2×C22⋊C4—891no—
1105C2×C22⋊C4—891no—
1106C2×C22⋊C4—891no—
1107C2×C22⋊C4—891no—
1108C2×C22⋊C4—891no—
1109C2×C22⋊C4—891no—
1110C2×C22⋊C4—891no—
1111C2×C22⋊C4—891no—
1112C2×C22⋊C4—891no—
1113C2×C22⋊C4—891no—
1114C2×C22⋊C4—891no—
1115C2×C22⋊C4—891no—
1116C2×C22⋊C4—891no—
1117C2×C22⋊C4—891no—
1118C2×C22⋊C4—891no—
1119C2×C22⋊C4—891no—
1120C2×C22⋊C4—891no—
1121C2×C22⋊C4—891no—
1122C2×C22⋊C4—891no—
1123C2×C22⋊C4—891no—
1124C2×C22⋊C4—891no—
1125C2×C22⋊C4—891no—
1126C2×C22⋊C4—891no—
1127C2×C22⋊C4—891no—
1128C2×C22⋊C4—891no—
1129C2×C22⋊C4—891no—
1130C2×C22⋊C4—891no—
1131C2×C22⋊C4—891no—
1132C2×C22⋊C4—891no—
1133C2×C22⋊C4—891no—
1134C2×C22⋊C4—3562no—
1135C2×C22⋊C4—3562no—
1136C2×C22⋊C4—3562no—
1137C2×C22⋊C4C22×D8911yescharacteristic
1138C2×C22⋊C4C22×D8911yescharacteristic
1139C2×C22⋊C4C22×D8911yescharacteristic
1140C2×C22⋊C4C22×D8911yescharacteristic
1141C2×C22⋊C4C22×D8911yescharacteristic
1142C2×C22⋊C4C22×D8911yescharacteristic
1143C2×C22⋊C4C22×D8911yescharacteristic
1144C2×C22⋊C4C22×D8911yescharacteristic
1145C2×C22⋊C4C22×D8911yescharacteristic
1146C2×C22⋊C4C22×D8911yescharacteristic
1147C2×C42—891no—
1148C2×C42—891no—
1149C2×C42—891no—
1150C2×C42—891no—
1151C2×C42—891no—
1152C2×C42—891no—
1153C2×C42—891no—
1154C2×C42—891no—
1155C2×C42—891no—
1156C2×C42—891no—
1157C2×C42—891no—
1158C2×C42—891no—
1159C2×C42—891no—
1160C2×C42—891no—
1161C2×C42—3562no—
1162C2×C42C22×D8911yescharacteristic
1163C2×C42C22×D8911yescharacteristic
1164C2×C42C22×D8911yescharacteristic
1165C2×C42C22×D8911yescharacteristic
1166C2×C42C22×D8911yescharacteristic
1167#95—891no—
1168#95—891no—
1169#95—891no—
1170#95—891no—
1171#95—891no—
1172#95—891no—
1173#95—891no—
1174#95—891no—
1175#95—891no—
1176#95—891no—
1177#95—891no—
1178#95—891no—
1179#95—891no—
1180#95—891no—
1181#95—891no—
1182#95—891no—
1183#95—891no—
1184#95—891no—
1185#95—891no—
1186#95—891no—
1187#95—891no—
1188#95—891no—
1189#95—891no—
1190#95—891no—
1191#95—891no—
1192#95—891no—
1193#95C22×D8911yescharacteristic
1194#95C22×D8911yescharacteristic
1195#95C22×D8911yescharacteristic
1196#95C22×D8911yescharacteristic
1197#95C22×D8911yescharacteristic
1198#95C22×D8911yescharacteristic
1199#95C22×D8911yescharacteristic
1200#95C22×D8911yescharacteristic
1201#95C22×D8911yescharacteristic
1202#95C22×D8911yescharacteristic
1203C24—894no—
1204C24—891no—
1205C24—891no—
1206C24—891no—
1207C24—891no—
1208C24—3561no—
1209C24—3561no—
1210C24—3561no—
1211C24—3561no—
1212C24—3561no—
1213C24—3561no—
1214C24C23×D8911yescharacteristic
1215C24C23×D8911yescharacteristic
1216C2×D4—41no—
1217C2×D4—41no—
1218C2×D4—894no—
1219C2×D4—894no—
1220C2×D4—894no—
1221C2×D4—894no—
1222C2×D4—894no—
1223C2×D4—894no—
1224C2×D4—894no—
1225C2×D4—894no—
1226C2×D4—894no—
1227C2×D4—894no—
1228C2×D4—894no—
1229C2×D4—3561no—
1230C2×D4—3561no—
1231C2×D4—3561no—
1232C2×D4—3561no—
1233C2×D4—3561no—
1234C2×D4—3561no—
1235C2×D4—3561no—
1236C2×D4—3561no—
1237C2×D4—3561no—
1238C2×D4—3561no—
1239C2×D4—3561no—
1240C2×D4—3561no—
1241C2×D4—3561no—
1242C2×D4—3561no—
1243C2×D4—3561no—
1244C2×D4—3561no—
1245C2×D4—3561no—
1246C2×D4—3561no—
1247C2×D4—3561no—
1248C2×D4—3561no—
1249C2×D4—3561no—
1250C2×D4—3561no—
1251C2×D4C2×C4×D8914yes—
1252C22×C4—22no—
1253C22×C4—41no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—41no—
1257C22×C4—891no—
1258C22×C4—891no—
1259C22×C4—891no—
1260C22×C4—891no—
1261C22×C4—891no—
1262C22×C4—891no—
1263C22×C4—894no—
1264C22×C4—894no—
1265C22×C4—891no—
1266C22×C4—891no—
1267C22×C4—891no—
1268C22×C4—891no—
1269C22×C4—891no—
1270C22×C4—891no—
1271C22×C4—3561no—
1272C22×C4—3561no—
1273C22×C4—3561no—
1274C22×C4—3561no—
1275C22×C4—3561no—
1276C22×C4—3561no—
1277C22×C4—3561no—
1278C22×C4—3561no—
1279C22×C4—3561no—
1280C22×C4—3561no—
1281C22×C4—3561no—
1282C22×C4—3561no—
1283C22×C4—3561no—
1284C22×C4—3561no—
1285C22×C4—3561no—
1286C22×C4—3561no—
1287C22×C4—3561no—
1288C22×C4—3561no—
1289C22×C4—3561no—
1290C22×C4—3561no—
1291C22×C4—3561no—
1292C22×C4—3561no—
1293C22×C4—3561no—
1294C22×C4—3561no—
1295C22×C4—3561no—
1296C22×C4—3561no—
1297C22×C4—3561no—
1298C22×C4—3561no—
1299C22×C4—3561no—
1300C22×C4—3561no—
1301C22×C4—1782no—
1302C22×C4—1782no—
1303C22×C4—1782no—
1304C22×C4—1782no—
1305C22×C4—1782no—
1306C22×C4—1782no—
1307C22×C4—1782no—
1308C22×C4C2×C4×D8914yes—
1309C22×C4C23×D8911yescharacteristic
1310C22×C4C23×D8911yescharacteristic
1311C22×C4C23×D8911yescharacteristic
1312C22×C4C23×D8911yescharacteristic
1313C22×C4C23×D8911yescharacteristic
1314C22×C4C23×D8911yescharacteristic
1315C22×C4C23×D8911yescharacteristic
1316C22×C4C23×D8911yescharacteristic
1317C22×C4C23×D8911yescharacteristic
1318C22×C4C23×D8911yescharacteristic
1319C22×C4C23×D8911yescharacteristic
1320C22×C4C23×D8911yescharacteristic
1321C22×C4C23×D8911yescharacteristic
1322C4⋊C4—22no—
1323C4⋊C4—41no—
1324C4⋊C4—41no—
1325C4⋊C4—41no—
1326C4⋊C4—41no—
1327C4⋊C4—894no—
1328C4⋊C4—894no—
1329C4⋊C4—894no—
1330C4⋊C4—894no—
1331C4⋊C4—3561no—
1332C4⋊C4—3561no—
1333C4⋊C4—3561no—
1334C4⋊C4—3561no—
1335C4⋊C4—3561no—
1336C4⋊C4—3561no—
1337C4⋊C4—3561no—
1338C4⋊C4—3561no—
1339C4⋊C4—3561no—
1340C4⋊C4—3561no—
1341C4⋊C4—1782no—
1342C4⋊C4—1782no—
1343C4⋊C4—1782no—
1344C4⋊C4C2×C4×D8914yes—
1345C4⋊C4C2×C4×D8914yes—
1346C22⋊C4—22no—
1347C22⋊C4—41no—
1348C22⋊C4—41no—
1349C22⋊C4—41no—
1350C22⋊C4—41no—
1351C22⋊C4—41no—
1352C22⋊C4—41no—
1353C22⋊C4—894no—
1354C22⋊C4—894no—
1355C22⋊C4—894no—
1356C22⋊C4—894no—
1357C22⋊C4—894no—
1358C22⋊C4—894no—
1359C22⋊C4—894no—
1360C22⋊C4—894no—
1361C22⋊C4—894no—
1362C22⋊C4—3561no—
1363C22⋊C4—3561no—
1364C22⋊C4—3561no—
1365C22⋊C4—3561no—
1366C22⋊C4—3561no—
1367C22⋊C4—3561no—
1368C22⋊C4—3561no—
1369C22⋊C4—3561no—
1370C22⋊C4—3561no—
1371C22⋊C4—3561no—
1372C22⋊C4—3561no—
1373C22⋊C4—3561no—
1374C22⋊C4—3561no—
1375C22⋊C4—3561no—
1376C22⋊C4—3561no—
1377C22⋊C4—3561no—
1378C22⋊C4—3561no—
1379C22⋊C4—3561no—
1380C22⋊C4—3561no—
1381C22⋊C4—3561no—
1382C22⋊C4—1782no—
1383C22⋊C4—1782no—
1384C22⋊C4—1782no—
1385C22⋊C4—1782no—
1386C22⋊C4—1782no—
1387C22⋊C4—1782no—
1388C22⋊C4—1782no—
1389C22⋊C4—1782no—
1390C22⋊C4—1782no—
1391C22⋊C4C2×C4×D8914yes—
1392C22⋊C4C2×C4×D8914yes—
1393C22⋊C4C2×C4×D8914yes—
1394C42—41no—
1395C42—41no—
1396C42—41no—
1397C42—41no—
1398C42—41no—
1399C42—894no—
1400C42—3561no—
1401C42—3561no—
1402C42—3561no—
1403C42—3561no—
1404C42—3561no—
1405C42—3561no—
1406C42—3561no—
1407C42—3561no—
1408C42—1782no—
1409C42—1782no—
1410C42—1782no—
1411C42—1782no—
1412C42—1782no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—892no—
1426C23—892no—
1427C23—892no—
1428C23—892no—
1429C23—3564no—
1430C23—3564no—
1431C23—3564no—
1432C23—1781no—
1433C23—1781no—
1434C23—1781no—
1435C23—1781no—
1436C23—1781no—
1437C23—1781no—
1438C23—1781no—
1439C23—1781no—
1440C23—1781no—
1441C23—1781no—
1442C23—1781no—
1443C23—1781no—
1444C23—1781no—
1445C23—1781no—
1446C23—1781no—
1447C23—1781no—
1448C23—1781no—
1449C23—1781no—
1450C23—1781no—
1451C23—1781no—
1452C23—1781no—
1453C23—1781no—
1454C23—1781no—
1455C23—1781no—
1456C23—7122no—
1457C23—7122no—
1458C23—7122no—
1459C23—7122no—
1460C23C22×C4×D8912yes—
1461C23C22×C4×D8912yes—
1462C23C24×D8911yescharacteristic
1463D4—44no—
1464D4—3564no—
1465D4—3564no—
1466D4—3564no—
1467D4—3564no—
1468D4—3564no—
1469D4—3564no—
1470D4—3564no—
1471D4—3564no—
1472D4—3564no—
1473D4—3564no—
1474D4—3564no—
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—44no—
1509C2×C4—82no—
1510C2×C4—892no—
1511C2×C4—892no—
1512C2×C4—892no—
1513C2×C4—892no—
1514C2×C4—892no—
1515C2×C4—892no—
1516C2×C4—3564no—
1517C2×C4—3564no—
1518C2×C4—3564no—
1519C2×C4—3564no—
1520C2×C4—1781no—
1521C2×C4—1781no—
1522C2×C4—1781no—
1523C2×C4—1781no—
1524C2×C4—1781no—
1525C2×C4—1781no—
1526C2×C4—1781no—
1527C2×C4—1781no—
1528C2×C4—1781no—
1529C2×C4—1781no—
1530C2×C4—1781no—
1531C2×C4—1781no—
1532C2×C4—1781no—
1533C2×C4—1781no—
1534C2×C4—1781no—
1535C2×C4—1781no—
1536C2×C4—1781no—
1537C2×C4—1781no—
1538C2×C4—1781no—
1539C2×C4—1781no—
1540C2×C4—1781no—
1541C2×C4—1781no—
1542C2×C4—1781no—
1543C2×C4—1781no—
1544C2×C4—1781no—
1545C2×C4—1781no—
1546C2×C4—1781no—
1547C2×C4—1781no—
1548C2×C4—1781no—
1549C2×C4—1781no—
1550C2×C4—7122no—
1551C2×C4—7122no—
1552C2×C4—7122no—
1553C2×C4—7122no—
1554C2×C4—7122no—
1555C2×C4—7122no—
1556C2×C4—7122no—
1557C2×C4—7122no—
1558C2×C4—7122no—
1559C2×C4C22×C4×D8912yes—
1560C2×C4C22×C4×D8912yes—
1561C2×C4C22×C4×D8912yes—
1562C2×C4C22×C4×D8912yes—
1563C2×C4C22×C4×D8912yes—
1564C2×C4#1566805812yes—
1565C22—22no—
1566C22—22no—
1567C22—22no—
1568C22—22no—
1569C22—22no—
1570C22—22no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22—41no—
1577C22—41no—
1578C22—41no—
1579C22—3561no—
1580C22—3561no—
1581C22—3561no—
1582C22—3561no—
1583C22—3561no—
1584C22—3561no—
1585C22—3561no—
1586C22—3561no—
1587C22—3561no—
1588C22—3561no—
1589C22—3561no—
1590C22—3561no—
1591C22—3561no—
1592C22—3561no—
1593C22—3561no—
1594C22—3561no—
1595C22—1782no—
1596C22—1782no—
1597C22—1782no—
1598C22—1782no—
1599C22—1782no—
1600C22—1782no—
1601C22—1782no—
1602C22—1782no—
1603C22—1782no—
1604C22—1782no—
1605C22—1782no—
1606C22—1782no—
1607C22—7128no—
1608C22C23×C4×D8911yescharacteristic
1609C22H(5,𝔽2)×D8911yescharacteristic
1610C22H(5,𝔽2)×D8911yescharacteristic
1611C22C2×#1566805811yescharacteristic
1612C22#1915243311yescharacteristic
1613C22#1915243411yescharacteristic
1614C22#1915243511yescharacteristic
1615C4—22no—
1616C4—22no—
1617C4—22no—
1618C4—22no—
1619C4—22no—
1620C4—22no—
1621C4—41no—
1622C4—41no—
1623C4—41no—
1624C4—41no—
1625C4—41no—
1626C4—41no—
1627C4—41no—
1628C4—3561no—
1629C4—3561no—
1630C4—3561no—
1631C4—3561no—
1632C4—3561no—
1633C4—3561no—
1634C4—1782no—
1635C4—1782no—
1636C4—1782no—
1637C4—1782no—
1638C4—1782no—
1639C4—1782no—
1640C2—42no—
1641C2—42no—
1642C2—3562no—
1643C2—3562no—
1644C2—3562no—
1645C2—3562no—
1646C2#2603345611yescharacteristic
1647C2#2603345811yescharacteristic
1648C2C4×#1566805811yescharacteristic
1649C2#2603444311yescharacteristic
1650C2#2603455911yescharacteristic
1651C2#2603462111yescharacteristic
1652C2#2603493111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D89
commutatorC22×C89C24×C4
FittingC89×#2335C2
socle, cosocleC23×C89C25
prime radicalC2×#19152338C2
hypercenter#2335D89
hypocenterC89#34517
LCSG ▷ C22×C89 ▷ C89
UCSC1 ◁ C23 ◁ #2335

Complements

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

NH ≅ G/Ntype
2. #26023407C2semidirect
3. #26023405C2semidirect
4. #26023394C2semidirect
5. #26023377C2semidirect
6. #26023365C2semidirect
7. #26023315C2semidirect
8. #26023302C2semidirect
9. #26023296C2semidirect
10. #26023292C2semidirect
11. #26023288C2semidirect
12. #26023248C2semidirect
13. #26023247C2semidirect
14. #26023232C2semidirect
15. #26023230C2semidirect
16. #26023228C2semidirect
17. #26023040C2semidirect
18. #26023030C2semidirect
19. #26023026C2semidirect
20. #26022976C2semidirect
21. #26022952C2semidirect
22. #26022951C2semidirect
23. #26022941C2semidirect
24. #26022940C2semidirect
25. #26022912C2semidirect
26. #26022911C2semidirect
27. #26022905C2semidirect
28. C4×#15667994C2semidirect
29. #26022764C2semidirect
30. #26022760C2semidirect
31. C89×#2335C2semidirect
32. #19152338C4semidirect
52. C2×#15667974C22semidirect
57. C2×#15667972C22semidirect
58. C2×#15667972C22semidirect
59. C2×#15667971C22semidirect
60. C2×#15667970C22semidirect
64. C2×C42×D89C22semidirect
68. #19151500C22semidirect
74. #19151498C22semidirect
75. #19151498C22semidirect
76. #19151497C22semidirect
77. #19151496C22semidirect
78. #19151495C22semidirect
79. #19151494C22semidirect
80. #19151493C22semidirect
88. #19151490C22semidirect
92. #19151489C22semidirect
96. #19151488C22semidirect
100. #19151487C22semidirect
101. #19151485C22semidirect
102. #19151484C22semidirect
103. #19151484C22semidirect
104. #19151483C22semidirect
105. #19151483C22semidirect
106. #19151482C22semidirect
107. #19151481C22semidirect
108. #19151481C22semidirect
109. #19151480C22semidirect
110. #19151479C22semidirect
120. #19151476C22semidirect
121. #19151476C22semidirect
126. #19151475C22semidirect
127. #19151475C22semidirect
132. #19151474C22semidirect
133. #19151474C22semidirect
135. #19151473C22semidirect
139. #19151472C22semidirect
144. #19151469C22semidirect
145. #19151463C22semidirect
146. #19151460C22semidirect
147. #19151457C22semidirect
148. #19151457C22semidirect
149. #19151455C22semidirect
151. C4⋊C4×Dic89C22semidirect
152. C4⋊C4×Dic89C22semidirect
153. C4×#13083553C22semidirect
154. C4×C4⋊Dic89C22semidirect
155. #19151449C22semidirect
156. #19151449C22semidirect
157. #19151449C22semidirect
159. C22⋊C4×Dic89C22semidirect
163. C4×#13083551C22semidirect
164. C4×#13083551C22semidirect
169. #19151445C22semidirect
170. #19151444C22semidirect
171. C2×#15667919C22semidirect
172. #95×D89C22semidirect
175. #389×C89C22semidirect
178. #388×C89C22semidirect
179. #388×C89C22semidirect
180. #387×C89C22semidirect
181. #387×C89C22semidirect
184. #380×C89C22semidirect
185. C4×C4⋊C4×C89C22semidirect
187. C4×C22⋊C4×C89C22semidirect
213. #15668008C2×C4semidirect
214. #15668007C2×C4semidirect
215. #15668007C2×C4semidirect
216. #15667994C2×C4semidirect
217. #15667994C2×C4semidirect
218. #15667987C2×C4semidirect
219. #15667987C2×C4semidirect
220. #15667986C2×C4semidirect
221. #15667986C2×C4semidirect
222. #15667985C2×C4semidirect
223. #15667985C2×C4semidirect
224. #15667982C2×C4semidirect
225. #15667982C2×C4semidirect
226. #15667980C2×C4semidirect
343. #123×C89C2×C4semidirect
844. #2335D89semidirect
858. C89#34517semidirect
910. #389C2×D89semidirect
933. #388C2×D89semidirect
934. #388C2×D89semidirect
945. #387C2×D89semidirect
946. #387C2×D89semidirect
988. #380C2×D89semidirect
997. C4×C4⋊C4C2×D89semidirect
1011. C4×C22⋊C4C2×D89semidirect
1048. #123C4×D89semidirect

Maximal subgroups

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

subgroupindex
C2×#191523382
#260234072
#260234052
#260233942
#260233772
#260233652
#260233152
#260233022
#260232962
#260232922
#260232882
#260232482
#260232472
#260232322
#260232302
#260232282
#260230402
#260230302
#260230262
#260229762
#260229522
#260229512
#260229412
#260229402
#260229122
#260229112
#260229052
C4×#156679942
#260227642
#260227602
C89×#23352
#3451789