Finite Group Databasebeta

← #36723295

Subgroups — #36723295

Order 22784.

2738 conjugacy classes of subgroups.

The subgroup lattice has 1628 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19152106C211yesmaximal, characteristic
2C2×C4×#13083573C211yesmaximal, characteristic, complemented
3#26023776C211yesmaximal, characteristic, complemented
4#26023772C211yesmaximal, characteristic, complemented
5#26023765C211yesmaximal, characteristic, complemented
6#26023761C211yesmaximal, characteristic, complemented
7#26023754C211yesmaximal, characteristic, complemented
8#26023750C211yesmaximal, characteristic, complemented
9#26023743C211yesmaximal, characteristic, complemented
10#26023739C211yesmaximal, characteristic, complemented
11#26023733C211yesmaximal, characteristic, complemented
12#26023729C211yesmaximal, characteristic, complemented
13#26023725C211yesmaximal, characteristic, complemented
14#26023720C211yesmaximal, characteristic, complemented
15#26023716C211yesmaximal, characteristic, complemented
16#26023712C211yesmaximal, characteristic, complemented
17#26023708C211yesmaximal, characteristic, complemented
18#26023518C211yesmaximal, characteristic, complemented
19#26023516C211yesmaximal, characteristic, complemented
20#26023510C211yesmaximal, characteristic, complemented
21#26023510C211yesmaximal, characteristic, complemented
22#26022773C211yesmaximal, characteristic, complemented
23#26022773C211yesmaximal, characteristic, complemented
24#26022771C211yesmaximal, characteristic, complemented
25#26022769C211yesmaximal, characteristic, complemented
26#26022737C211yesmaximal, characteristic, complemented
27#26022731C211yesmaximal, characteristic, complemented
28#26022654C211yesmaximal, characteristic, complemented
29#26022632C211yesmaximal, characteristic, complemented
30C2×#19151445C211yesmaximal, characteristic, complemented
31C89×#2419C211yesmaximal, characteristic, complemented
32C22×#13083573C2211yescharacteristic
33C23×C4×D89C2211yescharacteristic
34#19152106—28no—
35C2×#15667997C2211yescharacteristic
36C2×#15667997C2211yescharacteristic
37C2×#15667996C2211yescharacteristic
38C2×#15667995C2211yescharacteristic
39C2×#15667995C2211yescharacteristic
40C2×#15667990C2211yescharacteristic
41C2×#15667990C2211yescharacteristic
42C2×#15667985C2211yescharacteristic
43C2×#15667985C2211yescharacteristic
44C2×#15667982C2211yescharacteristic
45C2×#15667980C2211yescharacteristic
46C4×#13083573—28no—
47C2×C4×Dic178C2211yescharacteristic, complemented
48C2×#15667977C2211yescharacteristic, complemented
49C2×D4×Dic89C2211yescharacteristic
50C2×#15667974C2211yescharacteristic
51C2×#15667974C2211yescharacteristic
52C2×C4×C22⋊D89C2211yescharacteristic
53C2×C4×C22⋊D89C2211yescharacteristic, complemented
54C2×#15667972C2211yescharacteristic
55C2×#15667972C2211yescharacteristic
56C2×#15667972C2211yescharacteristic
57C2×#15667972C2211yescharacteristic, complemented
58C2×#15667970C2211yescharacteristic, complemented
59C2×#15667968C2211yescharacteristic
60C2×#15667968C2211yescharacteristic
61C2×#15667968C2211yescharacteristic
62C2×#15667968C2211yescharacteristic, complemented
63C22×#13083551C2211yescharacteristic
64C22×#13083551C2211yescharacteristic
65C22×C4×Dic89C2211yescharacteristic
66C22×C4×Dic89C2211yescharacteristic
67C22×C4×Dic89C2211yescharacteristic, complemented
68C2×C42×D89C2211yescharacteristic, complemented
69#19151539C2211yescharacteristic, complemented
70#19151539C2211yescharacteristic, complemented
71#19151537C2211yescharacteristic, complemented
72#19151535C2211yescharacteristic
73#19151533C2211yescharacteristic
74#19151533C2211yescharacteristic
75#19151533C2211yescharacteristic
76#19151532C2211yescharacteristic, complemented
77#19151532C2211yescharacteristic, complemented
78#19151528C2211yescharacteristic, complemented
79#19151527C2211yescharacteristic
80#19151527C2211yescharacteristic
81#19151527C2211yescharacteristic, complemented
82#19151527C2211yescharacteristic, complemented
83#19151526C2211yescharacteristic, complemented
84#19151526C2211yescharacteristic, complemented
85#19151525C2211yescharacteristic
86#19151525C2211yescharacteristic, complemented
87#19151525C2211yescharacteristic, complemented
88#19151524C2211yescharacteristic
89#19151516C2211yescharacteristic
90#19151516C2211yescharacteristic
91#19151515C2211yescharacteristic
92#19151515C2211yescharacteristic
93#19151514C2211yescharacteristic
94#19151514C2211yescharacteristic
95#19151513C2211yescharacteristic
96#19151513C2211yescharacteristic
97#19151502C2211yescharacteristic, complemented
98#19151502C2211yescharacteristic, complemented
99#19151498C2211yescharacteristic, complemented
100#19151498C2211yescharacteristic, complemented
101#19151495C2211yescharacteristic, complemented
102#19151495C2211yescharacteristic, complemented
103#19151493C2211yescharacteristic, complemented
104#19151493C2211yescharacteristic, complemented
105#19151490C2211yescharacteristic
106#19151490C2211yescharacteristic
107#19151489C2211yescharacteristic
108#19151489C2211yescharacteristic
109#19151488C2211yescharacteristic
110#19151488C2211yescharacteristic
111#19151487C2211yescharacteristic
112#19151487C2211yescharacteristic
113#19151481C2211yescharacteristic, complemented
114#19151481C2211yescharacteristic, complemented
115#19151480C2211yescharacteristic, complemented
116#19151480C2211yescharacteristic, complemented
117#19151479C2211yescharacteristic, complemented
118#19151479C2211yescharacteristic, complemented
119#19151478C2211yescharacteristic
120#19151477C2211yescharacteristic
121#19151477C2211yescharacteristic
122#19151476C2211yescharacteristic
123#19151476C2211yescharacteristic
124#19151475C2211yescharacteristic
125#19151475C2211yescharacteristic
126#19151473C2211yescharacteristic
127#19151472C2211yescharacteristic, complemented
128#19151472C2211yescharacteristic, complemented
129#19151471C2211yescharacteristic
130#19151470C2211yescharacteristic
131#19151470C2211yescharacteristic, complemented
132#19151467C2211yescharacteristic, complemented
133#19151467C2211yescharacteristic, complemented
134#19151462C2211yescharacteristic, complemented
135#19151462C2211yescharacteristic, complemented
136#19151461C2211yescharacteristic
137#19151460C2211yescharacteristic, complemented
138#19151460C2211yescharacteristic, complemented
139#19151459C2211yescharacteristic, complemented
140#19151458C2211yescharacteristic
141#19151457C2211yescharacteristic
142#19151457C2211yescharacteristic
143#19151457C2211yescharacteristic
144#19151457C2211yescharacteristic
145#19151456C2211yescharacteristic
146#19151456C2211yescharacteristic
147#19151453C2211yescharacteristic
148#19151453C2211yescharacteristic
149C4⋊C4×Dic89C2211yescharacteristic, complemented
150C4⋊C4×Dic89C2211yescharacteristic, complemented
151C4⋊C4×Dic89C2211yescharacteristic, complemented
152C4⋊C4×Dic89C2211yescharacteristic, complemented
153#19151449C2211yescharacteristic, complemented
154#19151449C2211yescharacteristic, complemented
155#19151449C2211yescharacteristic, complemented
156#19151449C2211yescharacteristic, complemented
157C22⋊C4×Dic89C2211yescharacteristic, complemented
158C22⋊C4×Dic89C2211yescharacteristic, complemented
159#19151445C2211yescharacteristic
160#19151445C2211yescharacteristic
161#19151445C2211yescharacteristic
162#19151445C2211yescharacteristic
163#19151445C2211yescharacteristic
164#19151445C2211yescharacteristic
165#19151445C2211yescharacteristic
166#19151445C2211yescharacteristic
167#19151445C2211yescharacteristic
168#19151445C2211yescharacteristic
169#19151445C2211yescharacteristic
170#19151445C2211yescharacteristic
171#19151445C2211yescharacteristic, complemented
172#19151445C2211yescharacteristic, complemented
173C2×#15667919C2211yescharacteristic
174C2×#123×C89C2211yescharacteristic
175C2×C4×D4×C89C2211yescharacteristic
176#400×C89C2211yescharacteristic, complemented
177#398×C89C2211yescharacteristic, complemented
178#397×C89C2211yescharacteristic, complemented
179#397×C89C2211yescharacteristic, complemented
180#387×C89C2211yescharacteristic, complemented
181#387×C89C2211yescharacteristic, complemented
182#386×C89C2211yescharacteristic
183#385×C89C2211yescharacteristic
184#385×C89C2211yescharacteristic, complemented
185#381×C89C2211yescharacteristic
186#381×C89C2211yescharacteristic, complemented
187#380×C89C2211yescharacteristic
188C2×#95×C89C2211yescharacteristic
189C24×D89C2311yescharacteristic
190C2×#13083573—24no—
191C2×#13083573—24no—
192C2×#13083573D418yes—
193C22×Dic178C2311yescharacteristic
194C22×D356C2311yescharacteristic
195C22×D356C2311yescharacteristic
196C22×C22⋊D89C2311yescharacteristic
197C22×C22⋊D89C2311yescharacteristic
198C22×C22⋊D89C2311yescharacteristic
199C22×C22⋊D89C2311yescharacteristic
200C23×Dic89C2311yescharacteristic
201C23×Dic89C2311yescharacteristic
202C23×Dic89C2311yescharacteristic
203C23×Dic89C2311yescharacteristic
204C23×Dic89C2311yescharacteristic
205C22×C4×D89—24no—
206C22×C4×D89—24no—
207C22×C4×D89—24no—
208C22×C4×D89C2311yescharacteristic
209C22×C4×D89C2311yescharacteristic
210C22×C4×D89C2311yescharacteristic
211C22×C4×D89C2311yescharacteristic
212C22×C4×D89C2311yescharacteristic
213C22×C4×D89C2311yescharacteristic
214C22×C4×D89C2311yescharacteristic
215#15667997—24no—
216#15667997—24no—
217#15667996—24no—
218#15667995—24no—
219#15667995—24no—
220#15667990—24no—
221#15667990—24no—
222#15667985—24no—
223#15667985—24no—
224#15667982—24no—
225#15667980—24no—
226C4×Dic178—24no—
227#15667977—24no—
228D4×Dic89—24no—
229#15667974—24no—
230#15667974—24no—
231C4×C22⋊D89—24no—
232C4×C22⋊D89—24no—
233#15667972—24no—
234#15667972—24no—
235#15667972—24no—
236#15667972—24no—
237#15667970—24no—
238#15667968—24no—
239#15667968—24no—
240#15667968—24no—
241#15667968—24no—
242C2×C4⋊Dic89C2311yescharacteristic
243C2×C4⋊Dic89C2311yescharacteristic
244C2×C4⋊Dic89C2311yescharacteristic
245C2×C4⋊Dic89C2311yescharacteristic
246C2×C4⋊Dic89C2311yescharacteristic
247C2×#13083553C2311yescharacteristic
248C2×#13083553C2311yescharacteristic
249C2×#13083553C2311yescharacteristic
250C2×#13083553C2311yescharacteristic
251C2×#13083553C2311yescharacteristic
252C2×#13083553C2311yescharacteristic
253C2×#13083553C2311yescharacteristic
254C2×#13083553C2311yescharacteristic
255C2×#13083553C2311yescharacteristic
256C2×#13083553C2311yescharacteristic
257C2×#13083553C2311yescharacteristic
258C2×#13083553C2311yescharacteristic
259C2×#13083553C2311yescharacteristic
260C2×#13083553C2311yescharacteristic
261C2×#13083553C2311yescharacteristic
262C2×#13083553C2311yescharacteristic
263C2×#13083553C2311yescharacteristic
264C2×#13083553C2311yescharacteristic
265C2×C22⋊Dic89C2311yescharacteristic
266C2×C22⋊Dic89C2311yescharacteristic
267C2×C22⋊Dic89C2311yescharacteristic
268C2×C22⋊Dic89C2311yescharacteristic
269C2×C22⋊Dic89C2311yescharacteristic
270C2×C22⋊Dic89C2311yescharacteristic
271C2×#13083551—24no—
272C2×#13083551—24no—
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
297C2×#13083551C2311yescharacteristic
298C2×#13083551C2311yescharacteristic
299C2×#13083551C2311yescharacteristic
300C2×#13083551C2311yescharacteristic
301C2×C4×Dic89—24no—
302C2×C4×Dic89—24no—
303C2×C4×Dic89—24no—
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
313C2×C4×Dic89C2311yescharacteristic
314C2×C4×Dic89C2311yescharacteristic
315C2×C4×Dic89C2311yescharacteristic
316C2×C4×Dic89C2311yescharacteristic
317C2×C4×Dic89C2311yescharacteristic
318C2×C4×Dic89C2311yescharacteristic
319C2×C4×Dic89C2311yescharacteristic
320C2×C4×Dic89C2311yescharacteristic
321C42×D89—24no—
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
340#15667919C2311yescharacteristic
341#15667919C2311yescharacteristic
342#15667919C2311yescharacteristic
343#15667919C2311yescharacteristic
344#15667919C2311yescharacteristic
345#15667919C2311yescharacteristic
346#15667919C2311yescharacteristic
347#15667919C2311yescharacteristic
348C22×D4×C89C2311yescharacteristic
349C23×C4×C89C2311yescharacteristic
350C23×C4×C89C2311yescharacteristic
351C23×C4×C89C2311yescharacteristic
352C23×C4×C89C2311yescharacteristic
353#123×C89—24no—
354C4×D4×C89—24no—
355C2×C4⋊C4×C89C2311yescharacteristic
356C2×C4⋊C4×C89C2311yescharacteristic
357C2×C4⋊C4×C89C2311yescharacteristic
358C2×C4⋊C4×C89C2311yescharacteristic
359C2×C4⋊C4×C89C2311yescharacteristic
360C2×C4⋊C4×C89C2311yescharacteristic
361C2×C4⋊C4×C89C2311yescharacteristic
362C2×C22⋊C4×C89C2311yescharacteristic
363C2×C22⋊C4×C89C2311yescharacteristic
364C2×C22⋊C4×C89C2311yescharacteristic
365C2×C22⋊C4×C89C2311yescharacteristic
366C2×C22⋊C4×C89C2311yescharacteristic
367C2×C22⋊C4×C89C2311yescharacteristic
368C2×C22⋊C4×C89C2311yescharacteristic
369C2×C22⋊C4×C89C2311yescharacteristic
370C2×C42×C89C2311yescharacteristic
371#95×C89C2311yescharacteristic
372#95×C89C2311yescharacteristic
373#95×C89C2311yescharacteristic
374#95×C89C2311yescharacteristic
375#95×C89C2311yescharacteristic
376#95×C89C2311yescharacteristic
377#95×C89C2311yescharacteristic
378#95×C89C2311yescharacteristic
379#95×C89C2311yescharacteristic
380#95×C89C2311yescharacteristic
381#95×C89C2311yescharacteristic
382#95×C89C2311yescharacteristic
383#95×C89C2311yescharacteristic
384#95×C89C2311yescharacteristic
385C23×D89—22no—
386C23×D89—22no—
387C23×D89—22no—
388C23×D89—22no—
389C23×D89—22no—
390C23×D89—41no—
391C23×D89—41no—
392C23×D89C2411yescharacteristic
393C23×D89C2411yescharacteristic
394C23×D89C2411yescharacteristic
395#13083573—232no—
396C2×Dic178—22no—
397C2×Dic178—22no—
398C2×Dic178C2×D414yes—
399C2×D356—22no—
400C2×D356—22no—
401C2×D356—22no—
402C2×D356—22no—
403C2×D356—41no—
404C2×D356—41no—
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—22no—
413C2×C22⋊D89—41no—
414C2×C22⋊D89—41no—
415C2×C22⋊D89C2×D414yes—
416C2×C22⋊D89C2×D414yes—
417C22×Dic89—22no—
418C22×Dic89—22no—
419C22×Dic89—22no—
420C22×Dic89—22no—
421C22×Dic89—22no—
422C22×Dic89—22no—
423C22×Dic89—22no—
424C22×Dic89—22no—
425C22×Dic89—41no—
426C22×Dic89—41no—
427C22×Dic89—41no—
428C22×Dic89C2×D414yes—
429C22×Dic89C2×D414yes—
430C22×Dic89#4114yes—
431C22×Dic89#4114yes—
432C22×Dic89C2411yescharacteristic
433C22×Dic89C2411yescharacteristic
434C22×Dic89C2411yescharacteristic
435C22×Dic89C2411yescharacteristic
436C22×Dic89C2411yescharacteristic
437C22×Dic89C2411yescharacteristic
438C22×Dic89C2411yescharacteristic
439C22×Dic89C2411yescharacteristic
440C22×Dic89C2411yescharacteristic
441C22×Dic89C2411yescharacteristic
442C22×Dic89C2411yescharacteristic
443C22×Dic89C2411yescharacteristic
444C22×Dic89C2411yescharacteristic
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—22no—
461C2×C4×D89—22no—
462C2×C4×D89—22no—
463C2×C4×D89—41no—
464C2×C4×D89—41no—
465C2×C4×D89—416no—
466C2×C4×D89C2×D414yes—
467C4⋊Dic89—22no—
468C4⋊Dic89—22no—
469C4⋊Dic89—22no—
470C4⋊Dic89—41no—
471C4⋊Dic89—41no—
472#13083553—22no—
473#13083553—22no—
474#13083553—22no—
475#13083553—22no—
476#13083553—22no—
477#13083553—22no—
478#13083553—22no—
479#13083553—22no—
480#13083553—22no—
481#13083553—22no—
482#13083553—22no—
483#13083553—22no—
484#13083553—22no—
485#13083553—22no—
486#13083553—41no—
487#13083553—41no—
488#13083553—41no—
489#13083553—41no—
490C22⋊Dic89—22no—
491C22⋊Dic89—22no—
492C22⋊Dic89—22no—
493C22⋊Dic89—22no—
494C22⋊Dic89—22no—
495C22⋊Dic89—41no—
496#13083551—22no—
497#13083551—22no—
498#13083551—22no—
499#13083551—22no—
500#13083551—22no—
501#13083551—22no—
502#13083551—22no—
503#13083551—22no—
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—41no—
517#13083551—41no—
518#13083551—41no—
519#13083551—41no—
520#13083551—41no—
521#13083551—41no—
522#13083551#4114yescomplemented
523#13083551#4114yescomplemented
524C4×Dic89—22no—
525C4×Dic89—22no—
526C4×Dic89—22no—
527C4×Dic89—22no—
528C4×Dic89—22no—
529C4×Dic89—22no—
530C4×Dic89—22no—
531C4×Dic89—22no—
532C4×Dic89—22no—
533C4×Dic89—22no—
534C4×Dic89—22no—
535C4×Dic89—22no—
536C4×Dic89—22no—
537C4×Dic89—22no—
538C4×Dic89—22no—
539C4×Dic89—22no—
540C4×Dic89—22no—
541C24×C89C2411yescharacteristic
542C24×C89C2411yescharacteristic
543C2×D4×C89—22no—
544C2×D4×C89—22no—
545C2×D4×C89C2×D414yes—
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—41no—
556C22×C4×C89—41no—
557C22×C4×C89—41no—
558C22×C4×C89C2411yescharacteristic
559C22×C4×C89C2411yescharacteristic
560C22×C4×C89C2411yescharacteristic
561C22×C4×C89C2411yescharacteristic
562C22×C4×C89C2411yescharacteristic
563C22×C4×C89C2411yescharacteristic
564C22×C4×C89C2411yescharacteristic
565C22×C4×C89C2411yescharacteristic
566C22×C4×C89C2411yescharacteristic
567C22×C4×C89C2411yescharacteristic
568C22×C4×C89C2411yescharacteristic
569C22×C4×C89C2411yescharacteristic
570C22×C4×C89C2411yescharacteristic
571C4⋊C4×C89—22no—
572C4⋊C4×C89—22no—
573C4⋊C4×C89—22no—
574C4⋊C4×C89—22no—
575C4⋊C4×C89—22no—
576C4⋊C4×C89—41no—
577C4⋊C4×C89—41no—
578C22⋊C4×C89—22no—
579C22⋊C4×C89—22no—
580C22⋊C4×C89—22no—
581C22⋊C4×C89—22no—
582C22⋊C4×C89—22no—
583C22⋊C4×C89—22no—
584C22⋊C4×C89—22no—
585C22⋊C4×C89—41no—
586C42×C89—22no—
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×C89C22×D412yes—
598C23×C89C22×D412yes—
599C23×C89C2×#4112yes—
600C23×C89C2×#4112yes—
601C23×C89C2511yescharacteristic
602C22×D89—28no—
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—44no—
622C22×D89—44no—
623C22×D89—44no—
624C22×D89—44no—
625C22×D89—44no—
626C22×D89—44no—
627C22×D89C22×D412yes—
628C22×D89C2×#4112yes—
629C22×D89C2×#4112yes—
630D4×C89—28no—
631C2×C4×C89—21no—
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—44no—
668C2×C4×C89—44no—
669C2×C4×C89—44no—
670C2×C4×C89—44no—
671C2×C4×C89C22×D412yes—
672C2×C4×C89C2×#4112yes—
673C2×C4×C89C2×#4112yes—
674C22⋊D89—28no—
675C22⋊D89—28no—
676C22⋊D89—44no—
677C22⋊D89—44no—
678C2×Dic89—21no—
679C2×Dic89—21no—
680C2×Dic89—21no—
681C2×Dic89—21no—
682C2×Dic89—21no—
683C2×Dic89—21no—
684C2×Dic89—28no—
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—44no—
710C2×Dic89—44no—
711C2×Dic89—44no—
712C2×Dic89#123116yescomplemented
713C2×Dic89C22×D412yes—
714C2×Dic89C22×D412yes—
715C2×Dic89C22×D412yes—
716C2×Dic89C2×#4112yes—
717C2×Dic89C2×#4112yes—
718C2×Dic89C2×#4112yes—
719C2×Dic89C2×#4112yes—
720C2×Dic89C2×#4112yes—
721C2×Dic89C2×#4112yes—
722D356—44no—
723D356—44no—
724C4×D89—28no—
725C4×D89—44no—
726C4×D89—44no—
727C4×D89—44no—
728C4×D89—44no—
729C4×D89—44no—
730C4×D89—44no—
731Dic178—28no—
732C22×C89—22no—
733C22×C89—22no—
734C22×C89—22no—
735C22×C89—22no—
736C22×C89—22no—
737C22×C89—22no—
738C22×C89—22no—
739C22×C89—22no—
740C22×C89—22no—
741C22×C89—41no—
742C22×C89—41no—
743C22×C89—41no—
744C22×C89—41no—
745C22×C89C2×#12314yes—
746C22×C89C23×D411yescharacteristic
747C22×C89C22×#4111yescharacteristic
748C22×C89C22×#4111yescharacteristic
749C22×C89C22×#4111yescharacteristic
750C22×C89C22×#4111yescharacteristic
751C22×C89#58511yescharacteristic
752C22×C89#58511yescharacteristic
753C2×D89—22no—
754C2×D89—22no—
755C2×D89—22no—
756C2×D89—22no—
757C2×D89—22no—
758C2×D89—22no—
759C2×D89—22no—
760C2×D89—22no—
761C2×D89—22no—
762C2×D89—416no—
763C2×D89—41no—
764C2×D89—41no—
765C2×D89—41no—
766C2×D89—41no—
767C2×D89—41no—
768C2×D89—41no—
769C2×D89—41no—
770C2×D89—41no—
771C2×D89—41no—
772C2×D89—41no—
773C2×D89—41no—
774C2×D89—41no—
775C4×C89—22no—
776C4×C89—22no—
777C4×C89—22no—
778C4×C89—41no—
779C4×C89—41no—
780C4×C89—41no—
781C4×C89—41no—
782C4×C89—41no—
783C4×C89—41no—
784C4×C89—41no—
785C4×C89—41no—
786C4×C89—41no—
787C4×C89—41no—
788Dic89—22no—
789Dic89—22no—
790Dic89—22no—
791Dic89—41no—
792Dic89—41no—
793Dic89—41no—
794Dic89—41no—
795Dic89—41no—
796Dic89—41no—
797Dic89—41no—
798Dic89—41no—
799Dic89C2×#12314yes—
800Dic89C2×#12314yes—
801#34742—891nomaximal, Sylow
802C2×C89—24no—
803C2×C89—42no—
804C2×C89C22×#12311yescharacteristic
805C2×C89#344411yescharacteristic
806C2×C89#345511yescharacteristic
807C2×C89D4×#4111yescharacteristic
808C2×C89D4×#4111yescharacteristic
809C2×C89#347511yescharacteristic
810C2×C89#347511yescharacteristic
811D89—42no—
812D89—42no—
813D89—42no—
814C2×#525—891no—
815C2×C4×#41—891no—
816#2423—891no—
817#2423—891no—
818#2422—891no—
819#2422—891no—
820#2421—891no—
821#2421—891no—
822#2420—891no—
823#2420—891no—
824#2419—891no—
825#2419—891no—
826#2419—891no—
827#2419D8911yescharacteristic, complemented
828#2418—891no—
829#2418—891no—
830#2418—891no—
831#2418—891no—
832#2395—891no—
833#2395—891no—
834#2395—891no—
835#2395—891no—
836C4×#123—891no—
837C4×#123—891no—
838C4×#123—891no—
839C4×#123—891no—
840#2297—891no—
841#2296—891no—
842#2285—891no—
843#2280—891no—
844C2×C4×C22⋊C4—891no—
845C89#3474211yescharacteristic, complemented, Sylow
846C22×#41—891no—
847C24×C4—891no—
848#525—1788no—
849C2×#123—891no—
850C2×#123—891no—
851C2×#123—891no—
852C2×#123—891no—
853C2×#123—891no—
854C2×#123C2×D8911yescharacteristic
855C2×C22⋊Q8—891no—
856C2×C22⋊Q8—891no—
857C2×#121—891no—
858C2×#121—891no—
859C2×#120—891no—
860C2×#120—891no—
861C4×#41—1788no—
862C2×C4×Q8—891no—
863C2×C4×Q8—891no—
864C2×C4×D4—891no—
865C2×C4×D4—891no—
866C2×C4×D4—891no—
867C2×C4×D4—891no—
868C2×C4×D4—891no—
869C2×C4×D4—891no—
870C2×C4×D4—891no—
871C2×C4×D4—891no—
872C2×C4×D4—891no—
873C2×C4×D4C2×D8911yescharacteristic
874C2×#117—891no—
875C2×#117—891no—
876C2×#117—891no—
877C2×#117—891no—
878C2×#117—891no—
879C22×C22⋊C4—891no—
880C22×C22⋊C4—891no—
881C22×C42—891no—
882C22×C42—891no—
883C22×C42—891no—
884C22×C42—891no—
885#400—891no—
886#400—891no—
887#400—891no—
888#400C2×D8911yescharacteristic, complemented
889#399—891no—
890#399—891no—
891#399—891no—
892#399—891no—
893#398—891no—
894#398—891no—
895#398—891no—
896#398C2×D8911yescharacteristic, complemented
897#397—891no—
898#397—891no—
899#397—891no—
900#397—891no—
901#397—891no—
902#397—891no—
903#397—891no—
904#397—891no—
905#397—891no—
906#397—891no—
907#397C2×D8911yescharacteristic, complemented
908#397C2×D8911yescharacteristic, complemented
909#394—891no—
910#394—891no—
911#394—891no—
912#394—891no—
913#394—891no—
914#394—891no—
915#394—891no—
916#394—891no—
917#391—891no—
918#391—891no—
919#390—891no—
920#390—891no—
921#389—891no—
922#389—891no—
923#389—891no—
924#389—891no—
925#388—891no—
926#388—891no—
927#388—891no—
928#388—891no—
929#388—891no—
930#388—891no—
931#388—891no—
932#388—891no—
933#387—891no—
934#387—891no—
935#387—891no—
936#387—891no—
937#387—891no—
938#387—891no—
939#387C2×D8911yescharacteristic, complemented
940#387C2×D8911yescharacteristic, complemented
941#386—891no—
942#386—891no—
943#386—891no—
944#386—891no—
945#386—891no—
946#386—891no—
947#386—891no—
948#386C2×D8911yescharacteristic
949#385—891no—
950#385—891no—
951#385—891no—
952#385—891no—
953#385—891no—
954#385—891no—
955#385C2×D8911yescharacteristic
956#385C2×D8911yescharacteristic, complemented
957#384—891no—
958#384—891no—
959#382—891no—
960#382—891no—
961#381—891no—
962#381—891no—
963#381—891no—
964#381—891no—
965#381C2×D8911yescharacteristic
966#381C2×D8911yescharacteristic, complemented
967#380—891no—
968#380—891no—
969#380—891no—
970#380—891no—
971#380—891no—
972#380—891no—
973#380—891no—
974#380C2×D8911yescharacteristic
975#379—891no—
976#379—891no—
977C4×C4⋊C4—891no—
978C4×C4⋊C4—891no—
979C4×C4⋊C4—891no—
980C4×C4⋊C4—891no—
981C4×C4⋊C4—891no—
982C4×C4⋊C4—891no—
983C4×C4⋊C4—891no—
984C4×C4⋊C4—891no—
985C4×C22⋊C4—891no—
986C4×C22⋊C4—891no—
987C4×C22⋊C4—891no—
988C4×C22⋊C4—891no—
989C4×C22⋊C4—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—
1001C2×#95—891no—
1002C2×#95C2×D8911yescharacteristic
1003C25—891no—
1004C2×#41—898no—
1005C2×#41—1784no—
1006C2×#41—1784no—
1007C22×Q8—891no—
1008C22×D4—891no—
1009C22×D4—891no—
1010C22×D4—891no—
1011C22×D4—891no—
1012C22×D4—891no—
1013C22×D4—891no—
1014C22×D4C22×D8911yescharacteristic
1015C23×C4—891no—
1016C23×C4—891no—
1017C23×C4—891no—
1018C23×C4—891no—
1019C23×C4—891no—
1020C23×C4—891no—
1021C23×C4—891no—
1022C23×C4—891no—
1023C23×C4—891no—
1024C23×C4—891no—
1025C23×C4—891no—
1026C23×C4—891no—
1027C23×C4—1784no—
1028C23×C4—1784no—
1029C23×C4—1784no—
1030C23×C4C22×D8911yescharacteristic
1031C23×C4C22×D8911yescharacteristic
1032C23×C4C22×D8911yescharacteristic
1033C23×C4C22×D8911yescharacteristic
1034#123—24no—
1035#123—1784no—
1036#123—1784no—
1037#123—1784no—
1038#123—1784no—
1039#123—1784no—
1040C22⋊Q8—1784no—
1041C22⋊Q8—1784no—
1042#121—1784no—
1043#121—1784no—
1044#120—1784no—
1045#120—1784no—
1046C4×Q8—1784no—
1047C4×Q8—1784no—
1048C4×D4—24no—
1049C4×D4—1784no—
1050C4×D4—1784no—
1051C4×D4—1784no—
1052C4×D4—1784no—
1053C4×D4—1784no—
1054C4×D4—1784no—
1055C4×D4—1784no—
1056C4×D4—1784no—
1057C4×D4—1784no—
1058#117—1784no—
1059#117—1784no—
1060#117—1784no—
1061#117—1784no—
1062#117—1784no—
1063C2×C4⋊C4—891no—
1064C2×C4⋊C4—891no—
1065C2×C4⋊C4—891no—
1066C2×C4⋊C4—891no—
1067C2×C4⋊C4—891no—
1068C2×C4⋊C4—891no—
1069C2×C4⋊C4—891no—
1070C2×C4⋊C4—891no—
1071C2×C4⋊C4—891no—
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⋊C4C22×D8911yescharacteristic
1087C2×C4⋊C4C22×D8911yescharacteristic
1088C2×C4⋊C4C22×D8911yescharacteristic
1089C2×C4⋊C4C22×D8911yescharacteristic
1090C2×C4⋊C4C22×D8911yescharacteristic
1091C2×C4⋊C4C22×D8911yescharacteristic
1092C2×C4⋊C4C22×D8911yescharacteristic
1093C2×C22⋊C4—891no—
1094C2×C22⋊C4—891no—
1095C2×C22⋊C4—891no—
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—1784no—
1128C2×C22⋊C4—1784no—
1129C2×C22⋊C4C22×D8911yescharacteristic
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×C42—891no—
1138C2×C42—891no—
1139C2×C42—891no—
1140C2×C42—891no—
1141C2×C42—891no—
1142C2×C42—891no—
1143C2×C42—891no—
1144C2×C42—891no—
1145C2×C42—891no—
1146C2×C42—891no—
1147C2×C42—891no—
1148C2×C42—891no—
1149C2×C42—891no—
1150C2×C42—891no—
1151C2×C42—891no—
1152C2×C42—891no—
1153C2×C42—891no—
1154C2×C42—1784no—
1155C2×C42—1784no—
1156C2×C42—1784no—
1157C2×C42—1784no—
1158C2×C42C22×D8911yescharacteristic
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#95—891no—
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
1199C24—891no—
1200C24—891no—
1201C24—891no—
1202C24—3561no—
1203C24—3561no—
1204C24—1782no—
1205C24—1782no—
1206C24—1782no—
1207C24—1782no—
1208C24—1782no—
1209C24C23×D8911yescharacteristic
1210C24C23×D8911yescharacteristic
1211#41—17832no—
1212C2×Q8—894no—
1213C2×Q8—1782no—
1214C2×Q8—1782no—
1215C2×D4—22no—
1216C2×D4—22no—
1217C2×D4—894no—
1218C2×D4—894no—
1219C2×D4—3561no—
1220C2×D4—3561no—
1221C2×D4—3561no—
1222C2×D4—3561no—
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×D4D4×D8914yes—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—894no—
1249C22×C4—894no—
1250C22×C4—894no—
1251C22×C4—891no—
1252C22×C4—891no—
1253C22×C4—894no—
1254C22×C4—891no—
1255C22×C4—891no—
1256C22×C4—891no—
1257C22×C4—894no—
1258C22×C4—891no—
1259C22×C4—891no—
1260C22×C4—891no—
1261C22×C4—891no—
1262C22×C4—891no—
1263C22×C4—891no—
1264C22×C4—891no—
1265C22×C4—891no—
1266C22×C4—3561no—
1267C22×C4—3561no—
1268C22×C4—35616no—
1269C22×C4—3561no—
1270C22×C4—3561no—
1271C22×C4—3561no—
1272C22×C4—1782no—
1273C22×C4—1782no—
1274C22×C4—1782no—
1275C22×C4—1782no—
1276C22×C4—1782no—
1277C22×C4—1782no—
1278C22×C4—1782no—
1279C22×C4—1782no—
1280C22×C4—1782no—
1281C22×C4—1782no—
1282C22×C4—1782no—
1283C22×C4—1782no—
1284C22×C4—1782no—
1285C22×C4—1782no—
1286C22×C4—1782no—
1287C22×C4—1782no—
1288C22×C4—1782no—
1289C22×C4—1782no—
1290C22×C4—1782no—
1291C22×C4—1782no—
1292C22×C4—1782no—
1293C22×C4—1782no—
1294C22×C4—1782no—
1295C22×C4—1782no—
1296C22×C4—1782no—
1297C22×C4—1782no—
1298C22×C4C23×D8911yescharacteristic
1299C22×C4C23×D8911yescharacteristic
1300C22×C4C23×D8911yescharacteristic
1301C22×C4C23×D8911yescharacteristic
1302C22×C4C23×D8911yescharacteristic
1303C22×C4C23×D8911yescharacteristic
1304C22×C4C23×D8911yescharacteristic
1305C22×C4C23×D8911yescharacteristic
1306C22×C4C23×D8911yescharacteristic
1307C22×C4C23×D8911yescharacteristic
1308C22×C4C23×D8911yescharacteristic
1309C22×C4C23×D8911yescharacteristic
1310C22×C4C23×D8911yescharacteristic
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—22no—
1315C4⋊C4—22no—
1316C4⋊C4—41no—
1317C4⋊C4—41no—
1318C4⋊C4—3561no—
1319C4⋊C4—3561no—
1320C4⋊C4—3561no—
1321C4⋊C4—3561no—
1322C4⋊C4—3561no—
1323C4⋊C4—3561no—
1324C4⋊C4—1782no—
1325C4⋊C4—1782no—
1326C4⋊C4—1782no—
1327C4⋊C4—1782no—
1328C4⋊C4—1782no—
1329C4⋊C4—1782no—
1330C4⋊C4—1782no—
1331C4⋊C4—1782no—
1332C4⋊C4—1782no—
1333C4⋊C4—1782no—
1334C4⋊C4—1782no—
1335C4⋊C4—1782no—
1336C4⋊C4—1782no—
1337C4⋊C4—1782no—
1338C4⋊C4—1782no—
1339C4⋊C4—1782no—
1340C4⋊C4—1782no—
1341C22⋊C4—22no—
1342C22⋊C4—22no—
1343C22⋊C4—22no—
1344C22⋊C4—22no—
1345C22⋊C4—22no—
1346C22⋊C4—22no—
1347C22⋊C4—22no—
1348C22⋊C4—41no—
1349C22⋊C4—894no—
1350C22⋊C4—894no—
1351C22⋊C4—3561no—
1352C22⋊C4—3561no—
1353C22⋊C4—3561no—
1354C22⋊C4—3561no—
1355C22⋊C4—3561no—
1356C22⋊C4—3561no—
1357C22⋊C4—3561no—
1358C22⋊C4—1782no—
1359C22⋊C4—1782no—
1360C22⋊C4—1782no—
1361C22⋊C4—1782no—
1362C22⋊C4—1782no—
1363C22⋊C4—1782no—
1364C22⋊C4—1782no—
1365C22⋊C4—1782no—
1366C22⋊C4—1782no—
1367C22⋊C4—1782no—
1368C22⋊C4—1782no—
1369C22⋊C4—1782no—
1370C22⋊C4—1782no—
1371C22⋊C4—1782no—
1372C22⋊C4—1782no—
1373C22⋊C4—1782no—
1374C22⋊C4—1782no—
1375C22⋊C4—1782no—
1376C22⋊C4—1782no—
1377C22⋊C4—1782no—
1378C22⋊C4—1782no—
1379C22⋊C4—1782no—
1380C22⋊C4—1782no—
1381C22⋊C4—1782no—
1382C22⋊C4—1782no—
1383C42—22no—
1384C42—1782no—
1385C42—1782no—
1386C42—1782no—
1387C42—1782no—
1388C42—1782no—
1389C42—1782no—
1390C42—1782no—
1391C42—1782no—
1392C42—1782no—
1393C42—1782no—
1394C42—1782no—
1395C42—1782no—
1396C42—1782no—
1397C42—1782no—
1398C42—1782no—
1399C42—1782no—
1400C42—1782no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—892no—
1412C23—892no—
1413C23—892no—
1414C23—3564no—
1415C23—3564no—
1416C23—3564no—
1417C23—3564no—
1418C23—3564no—
1419C23—3564no—
1420C23—1788no—
1421C23—1781no—
1422C23—1781no—
1423C23—1781no—
1424C23—1781no—
1425C23—1781no—
1426C23—1781no—
1427C23—1781no—
1428C23—1781no—
1429C23—1781no—
1430C23—1781no—
1431C23—1781no—
1432C23—1781no—
1433C23—1781no—
1434C23—1781no—
1435C23—1781no—
1436C23—1781no—
1437C23—1781no—
1438C23—1781no—
1439C23C2×D4×D8912yes—
1440C23C2×D4×D8912yes—
1441C23#41×D8912yes—
1442C23#41×D8912yes—
1443C23C24×D8911yescharacteristic
1444Q8—1788no—
1445D4—28no—
1446D4—3564no—
1447D4—3564no—
1448D4—3564no—
1449D4—3564no—
1450D4—1788no—
1451D4—1788no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—44no—
1489C2×C4—44no—
1490C2×C4—44no—
1491C2×C4—44no—
1492C2×C4—892no—
1493C2×C4—892no—
1494C2×C4—892no—
1495C2×C4—892no—
1496C2×C4—892no—
1497C2×C4—892no—
1498C2×C4—8916no—
1499C2×C4—892no—
1500C2×C4—892no—
1501C2×C4—892no—
1502C2×C4—3564no—
1503C2×C4—3564no—
1504C2×C4—3564no—
1505C2×C4—3564no—
1506C2×C4—3564no—
1507C2×C4—3564no—
1508C2×C4—3564no—
1509C2×C4—3564no—
1510C2×C4—3564no—
1511C2×C4—1788no—
1512C2×C4—1788no—
1513C2×C4—1781no—
1514C2×C4—1781no—
1515C2×C4—1781no—
1516C2×C4—1781no—
1517C2×C4—1781no—
1518C2×C4—1781no—
1519C2×C4—1781no—
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×C4C2×D4×D8912yes—
1544C2×C4#41×D8912yes—
1545C2×C4#41×D8912yes—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—22no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—35616no—
1560C22—3561no—
1561C22—3561no—
1562C22—3561no—
1563C22—3561no—
1564C22—3561no—
1565C22—3561no—
1566C22—3561no—
1567C22—3561no—
1568C22—3561no—
1569C22—3561no—
1570C22—3561no—
1571C22—3561no—
1572C22—1782no—
1573C22—1782no—
1574C22—1782no—
1575C22—1782no—
1576C22—1782no—
1577C22—1782no—
1578C22—1782no—
1579C22—1782no—
1580C22—1782no—
1581C22#123×D8914yes—
1582C22C22×D4×D8911yescharacteristic
1583C22C2×#41×D8911yescharacteristic
1584C22C2×#41×D8911yescharacteristic
1585C22C2×#41×D8911yescharacteristic
1586C22C2×#41×D8911yescharacteristic
1587C22#1915243311yescharacteristic
1588C22#1915243511yescharacteristic
1589C4—22no—
1590C4—22no—
1591C4—22no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—894no—
1603C4—894no—
1604C4—3561no—
1605C4—3561no—
1606C4—3561no—
1607C4—3561no—
1608C4—3561no—
1609C4—3561no—
1610C4—3561no—
1611C4—3561no—
1612C4—1782no—
1613C4—1782no—
1614C4—1782no—
1615C2—24no—
1616C2—42no—
1617C2—3562no—
1618C2—3562no—
1619C2—3562no—
1620C2C2×#123×D8911yescharacteristic
1621C2#2603354611yescharacteristic
1622C2#2603363811yescharacteristic
1623C2#2603373611yescharacteristic
1624C2#2603373911yescharacteristic
1625C2#2603380711yescharacteristic
1626C2#2603381711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D89
commutator, socle, cosocleC23×C89C25
FittingC89×#2419C2
prime radicalC2×#19152106C2
hypercenter#2419D89
hypocenterC89#34742
LCSG ▷ C23×C89 ▷ C89
UCSC1 ◁ C23 ◁ #2419

Complements

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

NH ≅ G/Ntype
2. C2×C4×#13083573C2semidirect
3. #26023776C2semidirect
4. #26023772C2semidirect
5. #26023765C2semidirect
6. #26023761C2semidirect
7. #26023754C2semidirect
8. #26023750C2semidirect
9. #26023743C2semidirect
10. #26023739C2semidirect
11. #26023733C2semidirect
12. #26023729C2semidirect
13. #26023725C2semidirect
14. #26023720C2semidirect
15. #26023716C2semidirect
16. #26023712C2semidirect
17. #26023708C2semidirect
18. #26023518C2semidirect
19. #26023516C2semidirect
20. #26023510C2semidirect
21. #26023510C2semidirect
22. #26022773C2semidirect
23. #26022773C2semidirect
24. #26022771C2semidirect
25. #26022769C2semidirect
26. #26022737C2semidirect
27. #26022731C2semidirect
28. #26022654C2semidirect
29. #26022632C2semidirect
30. C2×#19151445C2semidirect
31. C89×#2419C2semidirect
47. C2×C4×Dic178C22semidirect
48. C2×#15667977C22semidirect
53. C2×C4×C22⋊D89C22semidirect
57. C2×#15667972C22semidirect
58. C2×#15667970C22semidirect
62. C2×#15667968C22semidirect
67. C22×C4×Dic89C22semidirect
68. C2×C42×D89C22semidirect
69. #19151539C22semidirect
70. #19151539C22semidirect
71. #19151537C22semidirect
76. #19151532C22semidirect
77. #19151532C22semidirect
78. #19151528C22semidirect
81. #19151527C22semidirect
82. #19151527C22semidirect
83. #19151526C22semidirect
84. #19151526C22semidirect
86. #19151525C22semidirect
87. #19151525C22semidirect
97. #19151502C22semidirect
98. #19151502C22semidirect
99. #19151498C22semidirect
100. #19151498C22semidirect
101. #19151495C22semidirect
102. #19151495C22semidirect
103. #19151493C22semidirect
104. #19151493C22semidirect
113. #19151481C22semidirect
114. #19151481C22semidirect
115. #19151480C22semidirect
116. #19151480C22semidirect
117. #19151479C22semidirect
118. #19151479C22semidirect
127. #19151472C22semidirect
128. #19151472C22semidirect
131. #19151470C22semidirect
132. #19151467C22semidirect
133. #19151467C22semidirect
134. #19151462C22semidirect
135. #19151462C22semidirect
137. #19151460C22semidirect
138. #19151460C22semidirect
139. #19151459C22semidirect
149. C4⋊C4×Dic89C22semidirect
150. C4⋊C4×Dic89C22semidirect
151. C4⋊C4×Dic89C22semidirect
152. C4⋊C4×Dic89C22semidirect
153. #19151449C22semidirect
154. #19151449C22semidirect
155. #19151449C22semidirect
156. #19151449C22semidirect
157. C22⋊C4×Dic89C22semidirect
158. C22⋊C4×Dic89C22semidirect
171. #19151445C22semidirect
172. #19151445C22semidirect
176. #400×C89C22semidirect
177. #398×C89C22semidirect
178. #397×C89C22semidirect
179. #397×C89C22semidirect
180. #387×C89C22semidirect
181. #387×C89C22semidirect
184. #385×C89C22semidirect
186. #381×C89C22semidirect
522. #13083551#41semidirect
523. #13083551#41semidirect
712. C2×Dic89#123semidirect
827. #2419D89semidirect
845. C89#34742semidirect
888. #400C2×D89semidirect
896. #398C2×D89semidirect
907. #397C2×D89semidirect
908. #397C2×D89semidirect
939. #387C2×D89semidirect
940. #387C2×D89semidirect
956. #385C2×D89semidirect
966. #381C2×D89semidirect

Maximal subgroups

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

subgroupindex
C2×#191521062
C2×C4×#130835732
#260237762
#260237722
#260237652
#260237612
#260237542
#260237502
#260237432
#260237392
#260237332
#260237292
#260237252
#260237202
#260237162
#260237122
#260237082
#260235182
#260235162
#260235102
#260227732
#260227712
#260227692
#260227372
#260227312
#260226542
#260226322
C2×#191514452
C89×#24192
#3474289