Finite Group Databasebeta

← #36760224

Subgroups — #36760224

Order 22784.

2524 conjugacy classes of subgroups.

The subgroup lattice has 1656 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#26028535C211yesmaximal, characteristic, complemented
2#26028533C211yesmaximal, characteristic, complemented
3#26028533C211yesmaximal, characteristic, complemented
4#26025474C211yesmaximal, characteristic, complemented
5#26025473C211yesmaximal, characteristic, complemented
6#26025472C211yesmaximal, characteristic, complemented
7#26025217C211yesmaximal, characteristic, complemented
8#26025216C211yesmaximal, characteristic, complemented
9#26025209C211yesmaximal, characteristic, complemented
10#26024819C211yesmaximal, characteristic, complemented
11#26024818C211yesmaximal, characteristic, complemented
12#26024807C211yesmaximal, characteristic, complemented
13#26024807C211yesmaximal, characteristic, complemented
14#26024805C211yesmaximal, characteristic, complemented
15#26024009C211yesmaximal, characteristic, complemented
16#26024005C211yesmaximal, characteristic, complemented
17#26024003C211yesmaximal, characteristic, complemented
18#26024002C211yesmaximal, characteristic, complemented
19#26024000C211yesmaximal, characteristic, complemented
20#26023997C211yesmaximal, characteristic, complemented
21#26023300C211yesmaximal, characteristic, complemented
22#26023298C211yesmaximal, characteristic, complemented
23#26023296C211yesmaximal, characteristic, complemented
24#26023187C211yesmaximal, characteristic, complemented
25#26023186C211yesmaximal, characteristic, complemented
26#26023185C211yesmaximal, characteristic, complemented
27#26022757C211yesmaximal, characteristic, complemented
28C4×#15667982C211yesmaximal, characteristic, complemented
29#26022753C211yesmaximal, characteristic, complemented
30C2×#95×D89C211yesmaximal, characteristic, complemented
31C89×#2510C211yesmaximal, characteristic, complemented
32C23×C4×D89C2211yescharacteristic
33C23×C4×D89C2211yescharacteristic
34C23×C4×D89C2211yescharacteristic
35C2×#15667987C2211yescharacteristic
36C2×#15667987C2211yescharacteristic
37C2×#15667986C2211yescharacteristic
38C2×#15667985C2211yescharacteristic
39C2×#15667985C2211yescharacteristic
40C2×#15667985C2211yescharacteristic
41C2×#15667985C2211yescharacteristic
42C2×#15667984C2211yescharacteristic
43C2×#15667984C2211yescharacteristic
44C2×#15667982C2211yescharacteristic
45C2×#15667982C2211yescharacteristic
46C2×#15667980C2211yescharacteristic
47C2×C4×D356C2211yescharacteristic
48C2×C4×D356C2211yescharacteristic
49C2×D4×Dic89C2211yescharacteristic
50C2×#15667974C2211yescharacteristic
51C2×#15667974C2211yescharacteristic
52C2×C4×C22⋊D89C2211yescharacteristic
53C2×#15667972C2211yescharacteristic
54C2×#15667972C2211yescharacteristic
55C2×#15667972C2211yescharacteristic
56C89⋊#401C2211yescharacteristic, complemented
57#19151540C2211yescharacteristic, complemented
58#19151539C2211yescharacteristic, complemented
59#19151538C2211yescharacteristic, complemented
60#19151538C2211yescharacteristic, complemented
61#19151536C2211yescharacteristic, complemented
62#19151532C2211yescharacteristic, complemented
63#19151531C2211yescharacteristic, complemented
64#19151529C2211yescharacteristic, complemented
65#19151527C2211yescharacteristic, complemented
66#19151527C2211yescharacteristic, complemented
67#19151527C2211yescharacteristic, complemented
68#19151527C2211yescharacteristic, complemented
69#19151525C2211yescharacteristic, complemented
70#19151524C2211yescharacteristic, complemented
71#19151523C2211yescharacteristic, complemented
72#19151516C2211yescharacteristic, complemented
73#19151514C2211yescharacteristic, complemented
74#19151513C2211yescharacteristic, complemented
75#19151507C2211yescharacteristic, complemented
76#19151491C2211yescharacteristic, complemented
77#19151490C2211yescharacteristic, complemented
78#19151490C2211yescharacteristic, complemented
79#19151489C2211yescharacteristic, complemented
80#19151488C2211yescharacteristic, complemented
81#19151487C2211yescharacteristic, complemented
82#19151487C2211yescharacteristic, complemented
83#19151487C2211yescharacteristic, complemented
84#19151487C2211yescharacteristic, complemented
85#19151486C2211yescharacteristic, complemented
86#19151485C2211yescharacteristic, complemented
87#19151485C2211yescharacteristic, complemented
88#19151484C2211yescharacteristic, complemented
89#19151483C2211yescharacteristic, complemented
90#19151483C2211yescharacteristic, complemented
91#19151482C2211yescharacteristic, complemented
92#19151480C2211yescharacteristic, complemented
93#19151480C2211yescharacteristic, complemented
94#19151480C2211yescharacteristic, complemented
95#19151479C2211yescharacteristic, complemented
96#19151479C2211yescharacteristic, complemented
97#19151477C2211yescharacteristic
98#19151477C2211yescharacteristic
99#19151477C2211yescharacteristic
100#19151476C2211yescharacteristic
101#19151476C2211yescharacteristic
102#19151476C2211yescharacteristic
103#19151476C2211yescharacteristic
104#19151476C2211yescharacteristic
105#19151476C2211yescharacteristic
106#19151476C2211yescharacteristic
107#19151476C2211yescharacteristic
108#19151476C2211yescharacteristic
109#19151476C2211yescharacteristic
110#19151476C2211yescharacteristic
111#19151476C2211yescharacteristic
112#19151476C2211yescharacteristic, complemented
113#19151476C2211yescharacteristic, complemented
114#19151475C2211yescharacteristic
115#19151475C2211yescharacteristic
116#19151475C2211yescharacteristic
117#19151475C2211yescharacteristic, complemented
118#19151475C2211yescharacteristic, complemented
119#19151474C2211yescharacteristic
120#19151474C2211yescharacteristic
121#19151474C2211yescharacteristic
122#19151474C2211yescharacteristic
123#19151474C2211yescharacteristic
124#19151474C2211yescharacteristic
125#19151474C2211yescharacteristic, complemented
126#19151474C2211yescharacteristic, complemented
127#19151473C2211yescharacteristic
128#19151472C2211yescharacteristic
129#19151472C2211yescharacteristic
130#19151472C2211yescharacteristic
131#19151472C2211yescharacteristic
132#19151471C2211yescharacteristic
133#19151469C2211yescharacteristic
134#19151469C2211yescharacteristic
135#19151465C2211yescharacteristic, complemented
136#19151465C2211yescharacteristic, complemented
137#19151460C2211yescharacteristic, complemented
138#19151460C2211yescharacteristic, complemented
139#19151459C2211yescharacteristic, complemented
140#19151457C2211yescharacteristic
141#19151457C2211yescharacteristic
142#19151457C2211yescharacteristic
143#19151457C2211yescharacteristic
144#19151456C2211yescharacteristic
145#19151456C2211yescharacteristic
146#19151455C2211yescharacteristic
147#19151455C2211yescharacteristic
148#19151453C2211yescharacteristic
149C22⋊C4×Dic89C2211yescharacteristic
150C22⋊C4×Dic89C2211yescharacteristic
151C22⋊C4×Dic89C2211yescharacteristic, complemented
152C4×#13083551C2211yescharacteristic
153C4×#13083551C2211yescharacteristic
154C4×#13083551C2211yescharacteristic, complemented
155#19151445C2211yescharacteristic
156#19151445C2211yescharacteristic
157#19151445C2211yescharacteristic
158#19151445C2211yescharacteristic
159#19151445C2211yescharacteristic, complemented
160#19151444C2211yescharacteristic, complemented
161C2×#15667919C2211yescharacteristic
162C2×#15667919C2211yescharacteristic
163C2×#15667919C2211yescharacteristic
164#95×D89C2211yescharacteristic
165#95×D89C2211yescharacteristic
166#95×D89C2211yescharacteristic
167#95×D89C2211yescharacteristic
168#95×D89C2211yescharacteristic
169#95×D89C2211yescharacteristic
170#95×D89C2211yescharacteristic
171#95×D89C2211yescharacteristic
172#401×C89C2211yescharacteristic, complemented
173#400×C89C2211yescharacteristic, complemented
174#397×C89C2211yescharacteristic, complemented
175#397×C89C2211yescharacteristic, complemented
176#388×C89C2211yescharacteristic, complemented
177#388×C89C2211yescharacteristic, complemented
178#387×C89C2211yescharacteristic, complemented
179#386×C89C2211yescharacteristic
180#386×C89C2211yescharacteristic
181#386×C89C2211yescharacteristic
182#385×C89C2211yescharacteristic
183#383×C89C2211yescharacteristic, complemented
184#380×C89C2211yescharacteristic
185C4×C22⋊C4×C89C2211yescharacteristic
186C2×#95×C89C2211yescharacteristic
187C24×D89C2311yescharacteristic
188C22×D356C2311yescharacteristic
189C22×D356C2311yescharacteristic
190C22×D356C2311yescharacteristic
191C22×D356C2311yescharacteristic
192C22×D356C2311yescharacteristic
193C22×C22⋊D89C2311yescharacteristic
194C22×C22⋊D89C2311yescharacteristic
195C22×C22⋊D89C2311yescharacteristic
196C22×C22⋊D89C2311yescharacteristic
197C22×C22⋊D89C2311yescharacteristic
198C22×C22⋊D89C2311yescharacteristic
199C23×Dic89C2311yescharacteristic
200C23×Dic89C2311yescharacteristic
201C23×Dic89C2311yescharacteristic
202C23×Dic89C2311yescharacteristic
203C22×C4×D89—24no—
204C22×C4×D89—24no—
205C22×C4×D89—24no—
206C22×C4×D89—42no—
207C22×C4×D89—42no—
208C22×C4×D89—42no—
209C22×C4×D89—42no—
210C22×C4×D89—42no—
211C22×C4×D89—42no—
212C22×C4×D89C2311yescharacteristic
213C22×C4×D89C2311yescharacteristic
214C22×C4×D89C2311yescharacteristic
215C22×C4×D89C2311yescharacteristic
216C22×C4×D89C2311yescharacteristic
217C22×C4×D89C2311yescharacteristic
218C22×C4×D89C2311yescharacteristic
219C22×C4×D89C2311yescharacteristic
220C22×C4×D89C2311yescharacteristic
221C22×C4×D89C2311yescharacteristic
222C22×C4×D89C2311yescharacteristic
223C22×C4×D89C2311yescharacteristic
224C22×C4×D89C2311yescharacteristic
225C22×C4×D89C2311yescharacteristic
226#15667987—24no—
227#15667987—42no—
228#15667986—42no—
229#15667985—24no—
230#15667985—42no—
231#15667985—42no—
232#15667985—42no—
233#15667984—24no—
234#15667984—42no—
235#15667982—24no—
236#15667982—24no—
237#15667980—24no—
238C4×D356—24no—
239C4×D356—42no—
240D4×Dic89—42no—
241#15667974—42no—
242#15667974—42no—
243C4×C22⋊D89—42no—
244#15667972—24no—
245#15667972—24no—
246#15667972—42no—
247C2×C4⋊Dic89C2311yescharacteristic
248C2×C4⋊Dic89C2311yescharacteristic
249C2×C4⋊Dic89C2311yescharacteristic
250C2×C4⋊Dic89C2311yescharacteristic
251C2×#13083553C2311yescharacteristic
252C2×#13083553C2311yescharacteristic
253C2×#13083553C2311yescharacteristic
254C2×#13083553C2311yescharacteristic
255C2×#13083553C2311yescharacteristic
256C2×#13083553C2311yescharacteristic
257C2×#13083553C2311yescharacteristic
258C2×#13083553C2311yescharacteristic
259C2×#13083553C2311yescharacteristic
260C2×#13083553C2311yescharacteristic
261C2×C22⋊Dic89C2311yescharacteristic
262C2×C22⋊Dic89C2311yescharacteristic
263C2×C22⋊Dic89C2311yescharacteristic
264C2×C22⋊Dic89C2311yescharacteristic
265C2×C22⋊Dic89C2311yescharacteristic
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×C4×Dic89C2311yescharacteristic
295C2×C4×Dic89C2311yescharacteristic
296C2×C4×Dic89C2311yescharacteristic
297C2×C4×Dic89C2311yescharacteristic
298C2×C4×Dic89C2311yescharacteristic
299C2×C4×Dic89C2311yescharacteristic
300C2×C4×Dic89C2311yescharacteristic
301#15667919C2311yescharacteristic
302#15667919C2311yescharacteristic
303#15667919C2311yescharacteristic
304#15667919C2311yescharacteristic
305#15667919C2311yescharacteristic
306#15667919C2311yescharacteristic
307#15667919C2311yescharacteristic
308#15667919C2311yescharacteristic
309#15667919C2311yescharacteristic
310#15667919C2311yescharacteristic
311#15667919C2311yescharacteristic
312#15667919C2311yescharacteristic
313#15667919C2311yescharacteristic
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
337C22×D4×C89C2311yescharacteristic
338C23×C4×C89C2311yescharacteristic
339C23×C4×C89C2311yescharacteristic
340C23×C4×C89C2311yescharacteristic
341C2×C4⋊C4×C89C2311yescharacteristic
342C2×C4⋊C4×C89C2311yescharacteristic
343C2×C4⋊C4×C89C2311yescharacteristic
344C2×C4⋊C4×C89C2311yescharacteristic
345C2×C22⋊C4×C89C2311yescharacteristic
346C2×C22⋊C4×C89C2311yescharacteristic
347C2×C22⋊C4×C89C2311yescharacteristic
348C2×C22⋊C4×C89C2311yescharacteristic
349C2×C22⋊C4×C89C2311yescharacteristic
350C2×C22⋊C4×C89C2311yescharacteristic
351C2×C22⋊C4×C89C2311yescharacteristic
352C2×C22⋊C4×C89C2311yescharacteristic
353C2×C22⋊C4×C89C2311yescharacteristic
354C2×C42×C89C2311yescharacteristic
355C2×C42×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
372C23×D89—22no—
373C23×D89—22no—
374C23×D89—22no—
375C23×D89—22no—
376C23×D89—22no—
377C23×D89—22no—
378C23×D89#4114yes—
379C23×D89C2411yescharacteristic
380C23×D89C2411yescharacteristic
381C23×D89C2411yescharacteristic
382C23×D89C2411yescharacteristic
383C2×D356—22no—
384C2×D356—22no—
385C2×D356—22no—
386C2×D356—22no—
387C2×D356—22no—
388C2×D356—22no—
389C2×D356—22no—
390C2×D356—22no—
391C2×D356—22no—
392C2×D356—22no—
393C2×D356—22no—
394C2×D356—22no—
395C2×D356—22no—
396C2×D356—41no—
397C2×D356—41no—
398C2×C22⋊D89—22no—
399C2×C22⋊D89—22no—
400C2×C22⋊D89—22no—
401C2×C22⋊D89—22no—
402C2×C22⋊D89—22no—
403C2×C22⋊D89—22no—
404C2×C22⋊D89—22no—
405C2×C22⋊D89—22no—
406C2×C22⋊D89—22no—
407C2×C22⋊D89—22no—
408C2×C22⋊D89—22no—
409C2×C22⋊D89—22no—
410C2×C22⋊D89—22no—
411C2×C22⋊D89—22no—
412C2×C22⋊D89—41no—
413C2×C22⋊D89—41no—
414C2×C22⋊D89—41no—
415C2×C22⋊D89—41no—
416C22×Dic89—22no—
417C22×Dic89—22no—
418C22×Dic89—22no—
419C22×Dic89—22no—
420C22×Dic89—22no—
421C22×Dic89—41no—
422C22×Dic89—41no—
423C22×Dic89—41no—
424C22×Dic89—41no—
425C22×Dic89—41no—
426C22×Dic89—41no—
427C22×Dic89#4114yes—
428C22×Dic89C2411yescharacteristic
429C22×Dic89C2411yescharacteristic
430C22×Dic89C2411yescharacteristic
431C22×Dic89C2411yescharacteristic
432C22×Dic89C2411yescharacteristic
433C22×Dic89C2411yescharacteristic
434C22×Dic89C2411yescharacteristic
435C22×Dic89C2411yescharacteristic
436C22×Dic89C2411yescharacteristic
437C22×Dic89C2411yescharacteristic
438C22×Dic89C2411yescharacteristic
439C22×Dic89C2411yescharacteristic
440C2×C4×D89—22no—
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—22no—
448C2×C4×D89—22no—
449C2×C4×D89—22no—
450C2×C4×D89—22no—
451C2×C4×D89—22no—
452C2×C4×D89—22no—
453C2×C4×D89—22no—
454C2×C4×D89—22no—
455C2×C4×D89—22no—
456C2×C4×D89—22no—
457C2×C4×D89—22no—
458C2×C4×D89—22no—
459C2×C4×D89—22no—
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×D89—41no—
470C2×C4×D89—41no—
471C2×C4×D89—41no—
472C2×C4×D89—41no—
473C2×C4×D89—41no—
474C2×C4×D89—41no—
475C2×C4×D89—41no—
476C2×C4×D89—416no—
477C2×C4×D89—416no—
478C2×C4×D89—416no—
479C2×C4×D89—41no—
480C2×C4×D89—41no—
481C2×C4×D89—41no—
482C2×C4×D89—41no—
483C2×C4×D89#4114yes—
484C2×C4×D89#4114yes—
485C4⋊Dic89—22no—
486C4⋊Dic89—41no—
487C4⋊Dic89—41no—
488C4⋊Dic89—41no—
489#13083553—22no—
490#13083553—22no—
491#13083553—22no—
492#13083553—22no—
493#13083553—41no—
494#13083553—41no—
495#13083553—41no—
496#13083553—41no—
497#13083553—41no—
498#13083553—41no—
499C22⋊Dic89—22no—
500C22⋊Dic89—22no—
501C22⋊Dic89—22no—
502C22⋊Dic89—41no—
503C22⋊Dic89—41no—
504#13083551—22no—
505#13083551—22no—
506#13083551—22no—
507#13083551—22no—
508#13083551—22no—
509#13083551—22no—
510#13083551—22no—
511#13083551—22no—
512#13083551—22no—
513#13083551—22no—
514#13083551—22no—
515#13083551—22no—
516#13083551—22no—
517#13083551—22no—
518#13083551—22no—
519#13083551—22no—
520#13083551—41no—
521#13083551—41no—
522#13083551—41no—
523#13083551—41no—
524#13083551—41no—
525#13083551—41no—
526#13083551—41no—
527#13083551—41no—
528#13083551—41no—
529#13083551—41no—
530#13083551—41no—
531#13083551—41no—
532C4×Dic89—22no—
533C4×Dic89—22no—
534C4×Dic89—41no—
535C4×Dic89—41no—
536C4×Dic89—41no—
537C4×Dic89—41no—
538C4×Dic89—41no—
539C24×C89C2411yescharacteristic
540C24×C89C2411yescharacteristic
541C2×D4×C89—22no—
542C2×D4×C89—22no—
543C2×D4×C89—22no—
544C22×C4×C89—22no—
545C22×C4×C89—22no—
546C22×C4×C89—22no—
547C22×C4×C89—22no—
548C22×C4×C89—22no—
549C22×C4×C89—41no—
550C22×C4×C89—41no—
551C22×C4×C89—41no—
552C22×C4×C89—41no—
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
564C22×C4×C89C2411yescharacteristic
565C22×C4×C89C2411yescharacteristic
566C4⋊C4×C89—22no—
567C4⋊C4×C89—41no—
568C4⋊C4×C89—41no—
569C4⋊C4×C89—41no—
570C22⋊C4×C89—22no—
571C22⋊C4×C89—22no—
572C22⋊C4×C89—22no—
573C22⋊C4×C89—22no—
574C22⋊C4×C89—22no—
575C22⋊C4×C89—41no—
576C22⋊C4×C89—41no—
577C22⋊C4×C89—41no—
578C22⋊C4×C89—41no—
579C42×C89—22no—
580C42×C89—41no—
581C23×C89—21no—
582C23×C89—21no—
583C23×C89—21no—
584C23×C89—21no—
585C23×C89—21no—
586C23×C89—21no—
587C23×C89—21no—
588C23×C89—21no—
589C23×C89—21no—
590C23×C89—21no—
591C23×C89—21no—
592C23×C89C2×#4112yes—
593C23×C89C2×#4112yes—
594C23×C89H(5,𝔽2)12yes—
595C23×C89C2511yescharacteristic
596C22×D89—28no—
597C22×D89—28no—
598C22×D89—28no—
599C22×D89—28no—
600C22×D89—28no—
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—28no—
610C22×D89—28no—
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×D89C2×#4112yes—
626C22×D89C2×#4112yes—
627C22×D89C2×#4112yes—
628C22×D89C2×#4112yes—
629C22×D89H(5,𝔽2)12yes—
630C22×D89H(5,𝔽2)12yes—
631D4×C89—44no—
632C2×C4×C89—21no—
633C2×C4×C89—21no—
634C2×C4×C89—21no—
635C2×C4×C89—21no—
636C2×C4×C89—21no—
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—44no—
670C2×C4×C89—44no—
671C2×C4×C89—44no—
672C2×C4×C89C2×#4112yes—
673C2×C4×C89C2×#4112yes—
674C22⋊D89—44no—
675C22⋊D89—44no—
676C22⋊D89—44no—
677C22⋊D89—44no—
678C22⋊D89—82no—
679C22⋊D89—82no—
680C2×Dic89—21no—
681C2×Dic89—21no—
682C2×Dic89—21no—
683C2×Dic89—21no—
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—44no—
713C2×Dic89—44no—
714C2×Dic89—44no—
715C2×Dic89—82no—
716C2×Dic89C2×#4112yes—
717C2×Dic89C2×#4112yes—
718C2×Dic89C2×#4112yes—
719C2×Dic89C2×#4112yes—
720D356—44no—
721D356—44no—
722D356—44no—
723D356—44no—
724D356—82no—
725C4×D89—44no—
726C4×D89—44no—
727C4×D89—44no—
728C4×D89—44no—
729C4×D89—44no—
730C4×D89—44no—
731C4×D89—44no—
732C4×D89—44no—
733C4×D89—44no—
734C4×D89—44no—
735C4×D89—44no—
736C4×D89—44no—
737C4×D89—82no—
738C4×D89—82no—
739C22×C89—22no—
740C22×C89—22no—
741C22×C89—22no—
742C22×C89—22no—
743C22×C89—22no—
744C22×C89—22no—
745C22×C89—41no—
746C22×C89—41no—
747C22×C89—41no—
748C22×C89—41no—
749C22×C89—41no—
750C22×C89—41no—
751C22×C89—41no—
752C22×C89#55314yes—
753C22×C89C22×#4111yescharacteristic
754C22×C89C22×#4111yescharacteristic
755C22×C89C22×#4111yescharacteristic
756C22×C89C22×#4111yescharacteristic
757C22×C89C2×H(5,𝔽2)11yescharacteristic
758C22×C89C2×H(5,𝔽2)11yescharacteristic
759C22×C89C2×H(5,𝔽2)11yescharacteristic
760C2×D89—232no—
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—22no—
772C2×D89—22no—
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#55314yes—
788C2×D89#55314yes—
789C4×C89—22no—
790C4×C89—22no—
791C4×C89—41no—
792C4×C89—41no—
793C4×C89—41no—
794C4×C89—41no—
795C4×C89—41no—
796C4×C89—41no—
797C4×C89—41no—
798C4×C89—41no—
799C4×C89—41no—
800C4×C89—41no—
801C4×C89—41no—
802Dic89—22no—
803Dic89—22no—
804Dic89—22no—
805Dic89—22no—
806Dic89—41no—
807Dic89—41no—
808Dic89—41no—
809Dic89—41no—
810Dic89—41no—
811Dic89—41no—
812Dic89—41no—
813Dic89—41no—
814#36607—891nomaximal, Sylow
815C2×C89—24no—
816C2×C89—81no—
817C2×C89#344411yescharacteristic
818C2×C89C2×#55311yescharacteristic
819C2×C89C2×#55311yescharacteristic
820C2×C89C2×#55311yescharacteristic
821C2×C89#349011yescharacteristic
822C2×C89#349011yescharacteristic
823C2×C89#349011yescharacteristic
824D89—24no—
825D89—24no—
826D89—81no—
827D89—81no—
828#2847—891no—
829#2847—891no—
830#2847—891no—
831#2569—891no—
832#2569—891no—
833#2569—891no—
834#2543—891no—
835#2543—891no—
836#2543—891no—
837#2510—891no—
838#2510—891no—
839#2510—891no—
840#2510—891no—
841#2510—891no—
842#2510D8911yescharacteristic, complemented
843#2444—891no—
844#2444—891no—
845#2444—891no—
846#2444—891no—
847#2444—891no—
848#2444—891no—
849#2364—891no—
850#2364—891no—
851#2364—891no—
852#2353—891no—
853#2353—891no—
854#2353—891no—
855C4×#120—891no—
856C4×#120—891no—
857C4×#120—891no—
858C22×#95—891no—
859C89#3660711yescharacteristic, complemented, Sylow
860C24×C4—891no—
861C24×C4—891no—
862C24×C4—891no—
863C2×#121—891no—
864C2×#121—891no—
865C2×#121—891no—
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—
884#401—891no—
885#401C2×D8911yescharacteristic, complemented
886#400—891no—
887#400—891no—
888#400—891no—
889#400—891no—
890#400—891no—
891#400C2×D8911yescharacteristic, complemented
892#398—891no—
893#398—891no—
894#398—891no—
895#397—891no—
896#397—891no—
897#397—891no—
898#397—891no—
899#397—891no—
900#397—891no—
901#397—891no—
902#397C2×D8911yescharacteristic, complemented
903#397C2×D8911yescharacteristic, complemented
904#394—891no—
905#394—891no—
906#394—891no—
907#392—891no—
908#388—891no—
909#388—891no—
910#388—891no—
911#388—891no—
912#388—891no—
913#388—891no—
914#388—891no—
915#388—891no—
916#388—891no—
917#388—891no—
918#388C2×D8911yescharacteristic, complemented
919#388C2×D8911yescharacteristic, complemented
920#387—891no—
921#387—891no—
922#387—891no—
923#387—891no—
924#387—891no—
925#387—891no—
926#387—891no—
927#387—891no—
928#387—891no—
929#387—891no—
930#387—891no—
931#387C2×D8911yescharacteristic, complemented
932#386—891no—
933#386—891no—
934#386—891no—
935#386—891no—
936#386—891no—
937#386—891no—
938#386—891no—
939#386—891no—
940#386—891no—
941#386—891no—
942#386—891no—
943#386—891no—
944#386—891no—
945#386—891no—
946#386—891no—
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#386C2×D8911yescharacteristic
963#386C2×D8911yescharacteristic
964#386C2×D8911yescharacteristic
965#385—891no—
966#385—891no—
967#385—891no—
968#385—891no—
969#385—891no—
970#385—891no—
971#385—891no—
972#385—891no—
973#385C2×D8911yescharacteristic
974#383—891no—
975#383—891no—
976#383C2×D8911yescharacteristic, complemented
977#381—891no—
978#381—891no—
979#381—891no—
980#380—891no—
981#380—891no—
982#380—891no—
983#380—891no—
984#380—891no—
985#380—891no—
986#380—891no—
987#380—891no—
988#380C2×D8911yescharacteristic
989#379—891no—
990C4×C22⋊C4—891no—
991C4×C22⋊C4—891no—
992C4×C22⋊C4—891no—
993C4×C22⋊C4—891no—
994C4×C22⋊C4—891no—
995C4×C22⋊C4—891no—
996C4×C22⋊C4—891no—
997C4×C22⋊C4—891no—
998C4×C22⋊C4—891no—
999C4×C22⋊C4—891no—
1000C4×C22⋊C4—891no—
1001C4×C22⋊C4C2×D8911yescharacteristic
1002#376—891no—
1003C2×#95—891no—
1004C2×#95—891no—
1005C2×#95—891no—
1006C2×#95—891no—
1007C2×#95—891no—
1008C2×#95—891no—
1009C2×#95—891no—
1010C2×#95—891no—
1011C2×#95—891no—
1012C2×#95—891no—
1013C2×#95—891no—
1014C2×#95C2×D8911yescharacteristic
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×C4—891no—
1042C23×C4—891no—
1043C23×C4—891no—
1044C23×C4—891no—
1045C23×C4—891no—
1046C23×C4—3562no—
1047C23×C4—3562no—
1048C23×C4—3562no—
1049C23×C4—3562no—
1050C23×C4—3562no—
1051C23×C4—3562no—
1052C23×C4—1784no—
1053C23×C4—1784no—
1054C23×C4—1784no—
1055C23×C4C22×D8911yescharacteristic
1056C23×C4C22×D8911yescharacteristic
1057C23×C4C22×D8911yescharacteristic
1058#121—3562no—
1059#121—3562no—
1060#121—3562no—
1061#121—3562no—
1062#121—3562no—
1063#121—3562no—
1064#121—1784no—
1065#121—1784no—
1066#121—1784no—
1067#120—1784no—
1068#120—1784no—
1069#120—1784no—
1070C4×D4—3562no—
1071C4×D4—3562no—
1072C4×D4—3562no—
1073C4×D4—3562no—
1074C4×D4—3562no—
1075C4×D4—3562no—
1076C4×D4—1784no—
1077C4×D4—1784no—
1078C4×D4—1784no—
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⋊C4—891no—
1090C2×C4⋊C4—891no—
1091C2×C4⋊C4—891no—
1092C2×C4⋊C4—891no—
1093C2×C4⋊C4C22×D8911yescharacteristic
1094C2×C4⋊C4C22×D8911yescharacteristic
1095C2×C4⋊C4C22×D8911yescharacteristic
1096C2×C4⋊C4C22×D8911yescharacteristic
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⋊C4C22×D8911yescharacteristic
1131C2×C22⋊C4C22×D8911yescharacteristic
1132C2×C22⋊C4C22×D8911yescharacteristic
1133C2×C22⋊C4C22×D8911yescharacteristic
1134C2×C22⋊C4C22×D8911yescharacteristic
1135C2×C22⋊C4C22×D8911yescharacteristic
1136C2×C22⋊C4C22×D8911yescharacteristic
1137C2×C22⋊C4C22×D8911yescharacteristic
1138C2×C22⋊C4C22×D8911yescharacteristic
1139C2×C42—891no—
1140C2×C42—891no—
1141C2×C42—891no—
1142C2×C42—891no—
1143C2×C42—891no—
1144C2×C42—891no—
1145C2×C42—891no—
1146C2×C42C22×D8911yescharacteristic
1147C2×C42C22×D8911yescharacteristic
1148#95—891no—
1149#95—891no—
1150#95—891no—
1151#95—891no—
1152#95—891no—
1153#95—891no—
1154#95—891no—
1155#95—891no—
1156#95—891no—
1157#95—891no—
1158#95—891no—
1159#95—891no—
1160#95—891no—
1161#95—891no—
1162#95—891no—
1163#95—891no—
1164#95—891no—
1165#95—891no—
1166#95—891no—
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#95C22×D8911yescharacteristic
1185#95C22×D8911yescharacteristic
1186#95C22×D8911yescharacteristic
1187#95C22×D8911yescharacteristic
1188#95C22×D8911yescharacteristic
1189#95C22×D8911yescharacteristic
1190#95C22×D8911yescharacteristic
1191#95C22×D8911yescharacteristic
1192#95C22×D8911yescharacteristic
1193#95C22×D8911yescharacteristic
1194#95C22×D8911yescharacteristic
1195#95C22×D8911yescharacteristic
1196#95C22×D8911yescharacteristic
1197#95C22×D8911yescharacteristic
1198#95C22×D8911yescharacteristic
1199#95C22×D8911yescharacteristic
1200C24—891no—
1201C24—891no—
1202C24—894no—
1203C24—891no—
1204C24—891no—
1205C24—1782no—
1206C24—1782no—
1207C24—1782no—
1208C24—1782no—
1209C24—1782no—
1210C24—1782no—
1211C24C23×D8911yescharacteristic
1212C24C23×D8911yescharacteristic
1213C2×D4—22no—
1214C2×D4—22no—
1215C2×D4—22no—
1216C2×D4—3561no—
1217C2×D4—3561no—
1218C2×D4—3561no—
1219C2×D4—3561no—
1220C2×D4—3561no—
1221C2×D4—3561no—
1222C2×D4—1782no—
1223C2×D4—1782no—
1224C2×D4—1782no—
1225C2×D4—1782no—
1226C2×D4—1782no—
1227C2×D4—1782no—
1228C2×D4—1782no—
1229C2×D4—1782no—
1230C2×D4—1782no—
1231C2×D4—1782no—
1232C2×D4—1782no—
1233C2×D4—1782no—
1234C2×D4—1782no—
1235C2×D4—1782no—
1236C2×D4—1782no—
1237C2×D4—1782no—
1238C2×D4—1782no—
1239C2×D4—1782no—
1240C2×D4—1782no—
1241C2×D4—1782no—
1242C2×D4—1782no—
1243C2×D4—1782no—
1244C2×D4—1782no—
1245C2×D4—1782no—
1246C2×D4—1782no—
1247C2×D4—1782no—
1248C2×D4—1782no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—22no—
1253C22×C4—22no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—41no—
1257C22×C4—41no—
1258C22×C4—894no—
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—891no—
1272C22×C4—891no—
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—35616no—
1294C22×C4—35616no—
1295C22×C4—35616no—
1296C22×C4—3561no—
1297C22×C4—3561no—
1298C22×C4—3561no—
1299C22×C4—3561no—
1300C22×C4—3561no—
1301C22×C4—3561no—
1302C22×C4—1782no—
1303C22×C4—1782no—
1304C22×C4—1782no—
1305C22×C4—1782no—
1306C22×C4—1782no—
1307C22×C4—1782no—
1308C22×C4—1782no—
1309C22×C4—1782no—
1310C22×C4—1782no—
1311C22×C4—1782no—
1312C22×C4—1782no—
1313C22×C4—1782no—
1314C22×C4—1782no—
1315C22×C4—1782no—
1316C22×C4—1782no—
1317C22×C4—1782no—
1318C22×C4—1782no—
1319C22×C4—1782no—
1320C22×C4—1782no—
1321C22×C4—1782no—
1322C22×C4—1782no—
1323C22×C4—1782no—
1324C22×C4—1782no—
1325C22×C4—1782no—
1326C22×C4—1782no—
1327C22×C4C23×D8911yescharacteristic
1328C22×C4C23×D8911yescharacteristic
1329C22×C4C23×D8911yescharacteristic
1330C22×C4C23×D8911yescharacteristic
1331C22×C4C23×D8911yescharacteristic
1332C22×C4C23×D8911yescharacteristic
1333C22×C4C23×D8911yescharacteristic
1334C22×C4C23×D8911yescharacteristic
1335C22×C4C23×D8911yescharacteristic
1336C22×C4C23×D8911yescharacteristic
1337C22×C4C23×D8911yescharacteristic
1338C22×C4C23×D8911yescharacteristic
1339C22×C4C23×D8911yescharacteristic
1340C4⋊C4—22no—
1341C4⋊C4—41no—
1342C4⋊C4—41no—
1343C4⋊C4—41no—
1344C4⋊C4—3561no—
1345C4⋊C4—3561no—
1346C4⋊C4—3561no—
1347C4⋊C4—3561no—
1348C4⋊C4—3561no—
1349C4⋊C4—3561no—
1350C4⋊C4—3561no—
1351C4⋊C4—3561no—
1352C4⋊C4—3561no—
1353C4⋊C4—1782no—
1354C4⋊C4—1782no—
1355C4⋊C4—1782no—
1356C4⋊C4—1782no—
1357C4⋊C4—1782no—
1358C22⋊C4—22no—
1359C22⋊C4—22no—
1360C22⋊C4—22no—
1361C22⋊C4—22no—
1362C22⋊C4—22no—
1363C22⋊C4—41no—
1364C22⋊C4—41no—
1365C22⋊C4—41no—
1366C22⋊C4—41no—
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—1782no—
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⋊C4—1782no—
1392C22⋊C4—1782no—
1393C22⋊C4—1782no—
1394C22⋊C4—1782no—
1395C22⋊C4—1782no—
1396C22⋊C4—1782no—
1397C22⋊C4—1782no—
1398C22⋊C4—1782no—
1399C22⋊C4—1782no—
1400C42—22no—
1401C42—41no—
1402C42—3561no—
1403C42—3561no—
1404C42—3561no—
1405C42—3561no—
1406C42—3561no—
1407C42—1782no—
1408C42—1782no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—892no—
1421C23—892no—
1422C23—892no—
1423C23—892no—
1424C23—892no—
1425C23—892no—
1426C23—1788no—
1427C23—1788no—
1428C23—1788no—
1429C23—1788no—
1430C23—1788no—
1431C23—1788no—
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—1788no—
1455C23#41×D8912yes—
1456C23#41×D8912yes—
1457C23#1566805812yes—
1458C23C24×D8911yescharacteristic
1459D4—44no—
1460D4—3564no—
1461D4—3564no—
1462D4—3564no—
1463D4—3564no—
1464D4—3564no—
1465D4—3564no—
1466D4—3564no—
1467D4—3564no—
1468D4—7122no—
1469D4—7122no—
1470D4—7122no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—44no—
1509C2×C4—44no—
1510C2×C4—44no—
1511C2×C4—892no—
1512C2×C4—892no—
1513C2×C4—892no—
1514C2×C4—892no—
1515C2×C4—3564no—
1516C2×C4—3564no—
1517C2×C4—3564no—
1518C2×C4—3564no—
1519C2×C4—3564no—
1520C2×C4—3564no—
1521C2×C4—3564no—
1522C2×C4—3564no—
1523C2×C4—3564no—
1524C2×C4—3564no—
1525C2×C4—3564no—
1526C2×C4—3564no—
1527C2×C4—3564no—
1528C2×C4—3564no—
1529C2×C4—3564no—
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—1781no—
1551C2×C4—1781no—
1552C2×C4—1781no—
1553C2×C4—1781no—
1554C2×C4—1781no—
1555C2×C4—1781no—
1556C2×C4—1781no—
1557C2×C4—1781no—
1558C2×C4—1781no—
1559C2×C4—1781no—
1560C2×C4—1781no—
1561C2×C4—1781no—
1562C2×C4—7122no—
1563C2×C4—7122no—
1564C2×C4—7122no—
1565C2×C4#41×D8912yes—
1566C2×C4#41×D8912yes—
1567C22—22no—
1568C22—22no—
1569C22—22no—
1570C22—22no—
1571C22—22no—
1572C22—22no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22—41no—
1577C22—41no—
1578C22—41no—
1579C22—41no—
1580C22—894no—
1581C22—894no—
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—3561no—
1596C22—17832no—
1597C22—1782no—
1598C22—1782no—
1599C22—1782no—
1600C22—1782no—
1601C22—1782no—
1602C22—1782no—
1603C22—1782no—
1604C22—1782no—
1605C22—1782no—
1606C22—1782no—
1607C22—1782no—
1608C22—1782no—
1609C22#1915229914yes—
1610C22C2×#41×D8911yescharacteristic
1611C22C2×#41×D8911yescharacteristic
1612C22C2×#41×D8911yescharacteristic
1613C22C2×#41×D8911yescharacteristic
1614C22H(5,𝔽2)×D8911yescharacteristic
1615C22H(5,𝔽2)×D8911yescharacteristic
1616C22C2×#1566805811yescharacteristic
1617C4—22no—
1618C4—22no—
1619C4—41no—
1620C4—41no—
1621C4—41no—
1622C4—41no—
1623C4—41no—
1624C4—41no—
1625C4—41no—
1626C4—41no—
1627C4—41no—
1628C4—41no—
1629C4—41no—
1630C4—3561no—
1631C4—3561no—
1632C4—3561no—
1633C4—3561no—
1634C4—3561no—
1635C4—3561no—
1636C4—3561no—
1637C4—3561no—
1638C4—1782no—
1639C4—1782no—
1640C4—1782no—
1641C4—1782no—
1642C2—24no—
1643C2—81no—
1644C2—1784no—
1645C2—1784no—
1646C2—7121no—
1647C2—7121no—
1648C2#2603354611yescharacteristic
1649C2#553×D8911yescharacteristic
1650C2#553×D8911yescharacteristic
1651C2C2×#1915229911yescharacteristic
1652C2#2603393611yescharacteristic
1653C2#2603393611yescharacteristic
1654C2#2603393811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D89
commutator, socle, cosocleC23×C89C25
FittingC89×#2510C2
hypercenter#2510D89
hypocenterC89#36607
LCSG ▷ C23×C89 ▷ C89
UCSC1 ◁ C23 ◁ #2510

Complements

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

NH ≅ G/Ntype
1. #26028535C2semidirect
2. #26028533C2semidirect
3. #26028533C2semidirect
4. #26025474C2semidirect
5. #26025473C2semidirect
6. #26025472C2semidirect
7. #26025217C2semidirect
8. #26025216C2semidirect
9. #26025209C2semidirect
10. #26024819C2semidirect
11. #26024818C2semidirect
12. #26024807C2semidirect
13. #26024807C2semidirect
14. #26024805C2semidirect
15. #26024009C2semidirect
16. #26024005C2semidirect
17. #26024003C2semidirect
18. #26024002C2semidirect
19. #26024000C2semidirect
20. #26023997C2semidirect
21. #26023300C2semidirect
22. #26023298C2semidirect
23. #26023296C2semidirect
24. #26023187C2semidirect
25. #26023186C2semidirect
26. #26023185C2semidirect
27. #26022757C2semidirect
28. C4×#15667982C2semidirect
29. #26022753C2semidirect
30. C2×#95×D89C2semidirect
31. C89×#2510C2semidirect
56. C89⋊#401C22semidirect
57. #19151540C22semidirect
58. #19151539C22semidirect
59. #19151538C22semidirect
60. #19151538C22semidirect
61. #19151536C22semidirect
62. #19151532C22semidirect
63. #19151531C22semidirect
64. #19151529C22semidirect
65. #19151527C22semidirect
66. #19151527C22semidirect
67. #19151527C22semidirect
68. #19151527C22semidirect
69. #19151525C22semidirect
70. #19151524C22semidirect
71. #19151523C22semidirect
72. #19151516C22semidirect
73. #19151514C22semidirect
74. #19151513C22semidirect
75. #19151507C22semidirect
76. #19151491C22semidirect
77. #19151490C22semidirect
78. #19151490C22semidirect
79. #19151489C22semidirect
80. #19151488C22semidirect
81. #19151487C22semidirect
82. #19151487C22semidirect
83. #19151487C22semidirect
84. #19151487C22semidirect
85. #19151486C22semidirect
86. #19151485C22semidirect
87. #19151485C22semidirect
88. #19151484C22semidirect
89. #19151483C22semidirect
90. #19151483C22semidirect
91. #19151482C22semidirect
92. #19151480C22semidirect
93. #19151480C22semidirect
94. #19151480C22semidirect
95. #19151479C22semidirect
96. #19151479C22semidirect
112. #19151476C22semidirect
113. #19151476C22semidirect
117. #19151475C22semidirect
118. #19151475C22semidirect
125. #19151474C22semidirect
126. #19151474C22semidirect
135. #19151465C22semidirect
136. #19151465C22semidirect
137. #19151460C22semidirect
138. #19151460C22semidirect
139. #19151459C22semidirect
151. C22⋊C4×Dic89C22semidirect
154. C4×#13083551C22semidirect
159. #19151445C22semidirect
160. #19151444C22semidirect
172. #401×C89C22semidirect
173. #400×C89C22semidirect
174. #397×C89C22semidirect
175. #397×C89C22semidirect
176. #388×C89C22semidirect
177. #388×C89C22semidirect
178. #387×C89C22semidirect
183. #383×C89C22semidirect
842. #2510D89semidirect
859. C89#36607semidirect
885. #401C2×D89semidirect
891. #400C2×D89semidirect
902. #397C2×D89semidirect
903. #397C2×D89semidirect
918. #388C2×D89semidirect
919. #388C2×D89semidirect
931. #387C2×D89semidirect
976. #383C2×D89semidirect

Maximal subgroups

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

subgroupindex
#260285352
#260285332
#260254742
#260254732
#260254722
#260252172
#260252162
#260252092
#260248192
#260248182
#260248072
#260248052
#260240092
#260240052
#260240032
#260240022
#260240002
#260239972
#260233002
#260232982
#260232962
#260231872
#260231862
#260231852
#260227572
C4×#156679822
#260227532
C2×#95×D892
C89×#25102
#3660789