Finite Group Databasebeta

← #36761310

Subgroups — #36761310

Order 22784.

2440 conjugacy classes of subgroups.

The subgroup lattice has 1676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19152222C211yesmaximal, characteristic, complemented
2C2×#19152111C211yesmaximal, characteristic, complemented
3#26028547C211yesmaximal, characteristic, complemented
4#26028536C211yesmaximal, characteristic, complemented
5#26026800C211yesmaximal, characteristic, complemented
6#26026793C211yesmaximal, characteristic, complemented
7#26026744C211yesmaximal, characteristic, complemented
8#26026737C211yesmaximal, characteristic, complemented
9#26026702C211yesmaximal, characteristic, complemented
10#26026661C211yesmaximal, characteristic, complemented
11#26026640C211yesmaximal, characteristic, complemented
12#26026633C211yesmaximal, characteristic, complemented
13#26026549C211yesmaximal, characteristic, complemented
14#26026528C211yesmaximal, characteristic, complemented
15#26026528C211yesmaximal, characteristic, complemented
16#26026502C211yesmaximal, characteristic, complemented
17#26026495C211yesmaximal, characteristic, complemented
18#26026472C211yesmaximal, characteristic, complemented
19#26026461C211yesmaximal, characteristic, complemented
20#26026178C211yesmaximal, characteristic, complemented
21#26026102C211yesmaximal, characteristic, complemented
22#26025931C211yesmaximal, characteristic, complemented
23#26025869C211yesmaximal, characteristic, complemented
24#26025832C211yesmaximal, characteristic, complemented
25#26025816C211yesmaximal, characteristic, complemented
26#26025607C211yesmaximal, characteristic, complemented
27#26025429C211yesmaximal, characteristic, complemented
28#26023877C211yesmaximal, characteristic, complemented
29#26023863C211yesmaximal, characteristic, complemented
30#26022884C211yesmaximal, characteristic, complemented
31C89×#2677C211yesmaximal, characteristic, complemented
32C22×#13083575C2211yescharacteristic
33C23×C4×D89C2211yescharacteristic
34#19152222—28no—
35C2×#15668007C2211yescharacteristic
36C2×#15668007C2211yescharacteristic, complemented
37C2×#15668001C2211yescharacteristic
38C2×#15668001C2211yescharacteristic
39C2×#15668001C2211yescharacteristic, complemented
40C2×#15668000C2211yescharacteristic
41#19152111—28no—
42C2×#15667997C2211yescharacteristic
43C2×#15667997C2211yescharacteristic
44C2×#15667997C2211yescharacteristic
45C2×#15667997C2211yescharacteristic
46C2×#15667997C2211yescharacteristic, complemented
47C2×#15667992C2211yescharacteristic, complemented
48C2×#15667988C2211yescharacteristic
49C2×#15667988C2211yescharacteristic
50C2×#15667988C2211yescharacteristic
51C2×#15667988C2211yescharacteristic, complemented
52C2×#15667987C2211yescharacteristic
53C2×#15667987C2211yescharacteristic
54C2×#15667987C2211yescharacteristic
55C2×#15667987C2211yescharacteristic, complemented
56C2×#15667986C2211yescharacteristic
57C2×#15667982C2211yescharacteristic
58C2×#15667982C2211yescharacteristic
59C2×#15667982C2211yescharacteristic
60C2×#15667977C2211yescharacteristic, complemented
61C2×#15667974C2211yescharacteristic
62C2×#15667974C2211yescharacteristic
63C2×#15667972C2211yescharacteristic
64C2×#15667972C2211yescharacteristic
65C2×#15667970C2211yescharacteristic
66C2×#15667969C2211yescharacteristic, complemented
67#19151539C2211yescharacteristic, complemented
68#19151538C2211yescharacteristic, complemented
69#19151534C2211yescharacteristic
70#19151533C2211yescharacteristic, complemented
71#19151533C2211yescharacteristic, complemented
72#19151532C2211yescharacteristic, complemented
73#19151528C2211yescharacteristic, complemented
74#19151527C2211yescharacteristic
75#19151527C2211yescharacteristic, complemented
76#19151525C2211yescharacteristic, complemented
77#19151524C2211yescharacteristic
78#19151524C2211yescharacteristic
79#19151524C2211yescharacteristic
80#19151522C2211yescharacteristic
81#19151520C2211yescharacteristic, complemented
82#19151520C2211yescharacteristic, complemented
83#19151520C2211yescharacteristic, complemented
84#19151518C2211yescharacteristic, complemented
85#19151517C2211yescharacteristic, complemented
86#19151516C2211yescharacteristic
87#19151516C2211yescharacteristic
88#19151516C2211yescharacteristic
89#19151516C2211yescharacteristic
90#19151516C2211yescharacteristic, complemented
91#19151515C2211yescharacteristic
92#19151515C2211yescharacteristic
93#19151515C2211yescharacteristic
94#19151515C2211yescharacteristic
95#19151515C2211yescharacteristic, complemented
96#19151515C2211yescharacteristic, complemented
97#19151515C2211yescharacteristic, complemented
98#19151513C2211yescharacteristic
99#19151513C2211yescharacteristic
100#19151511C2211yescharacteristic
101#19151511C2211yescharacteristic, complemented
102#19151510C2211yescharacteristic
103#19151509C2211yescharacteristic, complemented
104#19151509C2211yescharacteristic, complemented
105#19151508C2211yescharacteristic
106#19151508C2211yescharacteristic
107#19151507C2211yescharacteristic
108#19151507C2211yescharacteristic
109#19151505C2211yescharacteristic, complemented
110#19151500C2211yescharacteristic
111#19151498C2211yescharacteristic
112#19151498C2211yescharacteristic
113#19151498C2211yescharacteristic
114#19151493C2211yescharacteristic, complemented
115#19151493C2211yescharacteristic, complemented
116#19151493C2211yescharacteristic, complemented
117#19151489C2211yescharacteristic
118#19151489C2211yescharacteristic
119#19151489C2211yescharacteristic, complemented
120#19151489C2211yescharacteristic, complemented
121#19151487C2211yescharacteristic
122#19151487C2211yescharacteristic
123#19151487C2211yescharacteristic
124#19151487C2211yescharacteristic, complemented
125#19151484C2211yescharacteristic, complemented
126#19151484C2211yescharacteristic, complemented
127#19151484C2211yescharacteristic, complemented
128#19151480C2211yescharacteristic, complemented
129#19151480C2211yescharacteristic, complemented
130#19151480C2211yescharacteristic, complemented
131#19151477C2211yescharacteristic
132#19151476C2211yescharacteristic
133#19151476C2211yescharacteristic
134#19151476C2211yescharacteristic
135#19151476C2211yescharacteristic
136#19151476C2211yescharacteristic
137#19151476C2211yescharacteristic
138#19151476C2211yescharacteristic, complemented
139#19151476C2211yescharacteristic, complemented
140#19151476C2211yescharacteristic, complemented
141#19151475C2211yescharacteristic
142#19151474C2211yescharacteristic
143#19151474C2211yescharacteristic
144#19151474C2211yescharacteristic
145#19151472C2211yescharacteristic, complemented
146#19151470C2211yescharacteristic
147#19151470C2211yescharacteristic
148#19151470C2211yescharacteristic
149#19151469C2211yescharacteristic
150#19151469C2211yescharacteristic
151#19151469C2211yescharacteristic
152#19151469C2211yescharacteristic
153#19151469C2211yescharacteristic
154#19151469C2211yescharacteristic
155#19151469C2211yescharacteristic, complemented
156#19151469C2211yescharacteristic, complemented
157#19151469C2211yescharacteristic, complemented
158#19151469C2211yescharacteristic, complemented
159#19151469C2211yescharacteristic, complemented
160#19151465C2211yescharacteristic, complemented
161#19151462C2211yescharacteristic, complemented
162#19151460C2211yescharacteristic
163#19151460C2211yescharacteristic
164#19151458C2211yescharacteristic
165#19151457C2211yescharacteristic, complemented
166#19151457C2211yescharacteristic, complemented
167#19151455C2211yescharacteristic
168#19151455C2211yescharacteristic
169#19151453C2211yescharacteristic
170#19151453C2211yescharacteristic
171#19151453C2211yescharacteristic
172C4×#13083551C2211yescharacteristic, complemented
173#95×D89C2211yescharacteristic, complemented
174C2×C4⋊Q8×C89C2211yescharacteristic, complemented
175C2×C4⋊Q8×C89C2211yescharacteristic, complemented
176C2×C22⋊Q8×C89C2211yescharacteristic
177C2×C22⋊Q8×C89C2211yescharacteristic
178#399×C89C2211yescharacteristic
179#398×C89C2211yescharacteristic, complemented
180#398×C89C2211yescharacteristic, complemented
181#395×C89C2211yescharacteristic, complemented
182#395×C89C2211yescharacteristic, complemented
183#393×C89C2211yescharacteristic
184#388×C89C2211yescharacteristic
185#388×C89C2211yescharacteristic
186#387×C89C2211yescharacteristic, complemented
187#387×C89C2211yescharacteristic, complemented
188#385×C89C2211yescharacteristic
189C24×D89C2311yescharacteristic
190C2×#13083575—24no—
191C2×#13083575—42no—
192C2×#13083575—42no—
193C22×Dic178C2311yescharacteristic
194C22×D356C2311yescharacteristic
195C22×D356C2311yescharacteristic
196C22×D356C2311yescharacteristic
197C22×D356C2311yescharacteristic
198C22×D356C2311yescharacteristic
199C22×D356C2311yescharacteristic
200C22×D356C2311yescharacteristic
201C22×D356C2311yescharacteristic
202C22×D356C2311yescharacteristic
203C22×C22⋊D89C2311yescharacteristic
204C22×C22⋊D89C2311yescharacteristic
205C22×C22⋊D89C2311yescharacteristic
206C23×Dic89C2311yescharacteristic
207C22×C4×D89—24no—
208C22×C4×D89—42no—
209C22×C4×D89—42no—
210C22×C4×D89C2311yescharacteristic
211C22×C4×D89C2311yescharacteristic
212C22×C4×D89C2311yescharacteristic
213C22×C4×D89C2311yescharacteristic
214C22×C4×D89C2311yescharacteristic
215C22×C4×D89C2311yescharacteristic
216C22×C4×D89C2311yescharacteristic
217C22×C4×D89C2311yescharacteristic
218C22×C4×D89C2311yescharacteristic
219#15668007—24no—
220#15668007—24no—
221#15668001—24no—
222#15668001—24no—
223#15668001—42no—
224#15668000—24no—
225#15667997—24no—
226#15667997—24no—
227#15667997—24no—
228#15667997—24no—
229#15667997—42no—
230#15667992—24no—
231#15667988—24no—
232#15667988—24no—
233#15667988—24no—
234#15667988—42no—
235#15667987—24no—
236#15667987—24no—
237#15667987—42no—
238#15667987—42no—
239#15667986—24no—
240#15667982—24no—
241#15667982—24no—
242#15667982—42no—
243#15667977—24no—
244#15667974—24no—
245#15667974D418yescomplemented
246#15667972—24no—
247#15667972—24no—
248#15667970—24no—
249#15667969—24no—
250C2×C4⋊Dic89C2311yescharacteristic
251C2×C4⋊Dic89C2311yescharacteristic
252C2×C4⋊Dic89C2311yescharacteristic
253C2×C4⋊Dic89C2311yescharacteristic
254C2×#13083553C2311yescharacteristic
255C2×#13083553C2311yescharacteristic
256C2×#13083553C2311yescharacteristic
257C2×#13083553C2311yescharacteristic
258C2×#13083553C2311yescharacteristic
259C2×#13083553C2311yescharacteristic
260C2×#13083553C2311yescharacteristic
261C2×#13083553C2311yescharacteristic
262C2×#13083553C2311yescharacteristic
263C2×#13083553C2311yescharacteristic
264C2×#13083553C2311yescharacteristic
265C2×#13083553C2311yescharacteristic
266C2×#13083553C2311yescharacteristic
267C2×#13083553C2311yescharacteristic
268C2×#13083553C2311yescharacteristic
269C2×C22⋊Dic89C2311yescharacteristic
270C2×C22⋊Dic89C2311yescharacteristic
271C2×C22⋊Dic89C2311yescharacteristic
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
297C2×#13083551C2311yescharacteristic
298C2×#13083551C2311yescharacteristic
299C2×#13083551C2311yescharacteristic
300C2×#13083551C2311yescharacteristic
301C2×#13083551C2311yescharacteristic
302C2×#13083551C2311yescharacteristic
303C2×#13083551C2311yescharacteristic
304C2×#13083551C2311yescharacteristic
305C2×#13083551C2311yescharacteristic
306C2×#13083551C2311yescharacteristic
307C2×#13083551C2311yescharacteristic
308C2×#13083551C2311yescharacteristic
309C2×#13083551C2311yescharacteristic
310C2×#13083551C2311yescharacteristic
311C2×#13083551C2311yescharacteristic
312C2×#13083551C2311yescharacteristic
313C2×#13083551C2311yescharacteristic
314C2×#13083551C2311yescharacteristic
315C2×C4×Dic89C2311yescharacteristic
316C2×C4×Dic89C2311yescharacteristic
317C2×C4×Dic89C2311yescharacteristic
318C2×C4×Dic89C2311yescharacteristic
319C2×C4×Dic89C2311yescharacteristic
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
340#15667919C2311yescharacteristic
341#15667919C2311yescharacteristic
342#15667919C2311yescharacteristic
343#15667919C2311yescharacteristic
344#15667919C2311yescharacteristic
345#15667919C2311yescharacteristic
346C22×Q8×C89C2311yescharacteristic
347C22×Q8×C89C2311yescharacteristic
348C22×Q8×C89C2311yescharacteristic
349C23×C4×C89C2311yescharacteristic
350C4⋊Q8×C89—24no—
351C4⋊Q8×C89—42no—
352C22⋊Q8×C89—24no—
353C22⋊Q8×C89—42no—
354C2×C4⋊C4×C89C2311yescharacteristic
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×C4⋊C4×C89C2311yescharacteristic
363C2×C4⋊C4×C89C2311yescharacteristic
364C2×C4⋊C4×C89C2311yescharacteristic
365C2×C4⋊C4×C89C2311yescharacteristic
366C2×C4⋊C4×C89C2311yescharacteristic
367C2×C22⋊C4×C89C2311yescharacteristic
368C2×C22⋊C4×C89C2311yescharacteristic
369C2×C22⋊C4×C89C2311yescharacteristic
370C2×C22⋊C4×C89C2311yescharacteristic
371C2×C22⋊C4×C89C2311yescharacteristic
372C2×C22⋊C4×C89C2311yescharacteristic
373C2×C42×C89C2311yescharacteristic
374C2×C42×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—41no—
389C23×D89—41no—
390C23×D89—41no—
391C23×D89—41no—
392C23×D89C2411yescharacteristic
393C23×D89C2411yescharacteristic
394C23×D89C2411yescharacteristic
395C23×D89C2411yescharacteristic
396C23×D89C2411yescharacteristic
397#13083575—416no—
398C2×Dic178—22no—
399C2×Dic178—41no—
400C2×Dic178—41no—
401C2×D356—22no—
402C2×D356—22no—
403C2×D356—22no—
404C2×D356—22no—
405C2×D356—22no—
406C2×D356—22no—
407C2×D356—22no—
408C2×D356—22no—
409C2×D356—22no—
410C2×D356—22no—
411C2×D356—41no—
412C2×D356—41no—
413C2×D356—41no—
414C2×D356—41no—
415C2×D356—41no—
416C2×D356—41no—
417C2×D356—41no—
418C2×D356—41no—
419C2×D356—41no—
420C2×D356—41no—
421C2×D356—41no—
422C2×D356—41no—
423C2×D356—41no—
424C2×D356—41no—
425C2×D356—41no—
426C2×D356—41no—
427C2×D356C2×D414yes—
428C2×C22⋊D89—22no—
429C2×C22⋊D89—22no—
430C2×C22⋊D89—22no—
431C2×C22⋊D89—22no—
432C2×C22⋊D89—22no—
433C2×C22⋊D89—41no—
434C2×C22⋊D89—41no—
435C2×C22⋊D89—41no—
436C2×C22⋊D89—41no—
437C22×Dic89—22no—
438C22×Dic89—41no—
439C22×Dic89—41no—
440C22×Dic89C2411yescharacteristic
441C22×Dic89C2411yescharacteristic
442C22×Dic89C2411yescharacteristic
443C22×Dic89C2411yescharacteristic
444C22×Dic89C2411yescharacteristic
445C22×Dic89C2411yescharacteristic
446C22×Dic89C2411yescharacteristic
447C22×Dic89C2411yescharacteristic
448C22×Dic89C2411yescharacteristic
449C22×Dic89C2411yescharacteristic
450C22×Dic89C2411yescharacteristic
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—416no—
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—41no—
477C2×C4×D89C2×D414yes—
478C2×C4×D89C2×D414yes—
479C4⋊Dic89—22no—
480C4⋊Dic89—22no—
481C4⋊Dic89—22no—
482C4⋊Dic89—41no—
483#13083553—22no—
484#13083553—22no—
485#13083553—22no—
486#13083553—22no—
487#13083553—22no—
488#13083553—22no—
489#13083553—41no—
490#13083553—41no—
491#13083553—41no—
492#13083553—41no—
493#13083553—41no—
494#13083553—41no—
495#13083553—41no—
496#13083553—41no—
497#13083553—41no—
498C22⋊Dic89—41no—
499C22⋊Dic89—41no—
500C22⋊Dic89—41no—
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—22no—
517#13083551—22no—
518#13083551—22no—
519#13083551—22no—
520#13083551—22no—
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—
532#13083551—41no—
533#13083551—41no—
534#13083551—41no—
535#13083551—41no—
536#13083551—41no—
537#13083551—41no—
538#13083551—41no—
539#13083551—41no—
540#13083551—41no—
541#13083551—41no—
542#13083551C2×D414yes—
543#13083551C2×D414yes—
544C4×Dic89—22no—
545C4×Dic89—22no—
546C4×Dic89—22no—
547C4×Dic89—41no—
548C4×Dic89C2×D414yes—
549C24×C89C2411yescharacteristic
550C2×Q8×C89—22no—
551C2×Q8×C89—22no—
552C2×Q8×C89—22no—
553C2×Q8×C89—22no—
554C2×Q8×C89—41no—
555C2×Q8×C89—41no—
556C2×Q8×C89—41no—
557C2×Q8×C89—41no—
558C2×Q8×C89—41no—
559C22×C4×C89—22no—
560C22×C4×C89—22no—
561C22×C4×C89—41no—
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
571C22×C4×C89C2411yescharacteristic
572C22×C4×C89C2411yescharacteristic
573C22×C4×C89C2411yescharacteristic
574C22×C4×C89C2411yescharacteristic
575C22×C4×C89C2411yescharacteristic
576C4⋊C4×C89—22no—
577C4⋊C4×C89—22no—
578C4⋊C4×C89—22no—
579C4⋊C4×C89—22no—
580C4⋊C4×C89—22no—
581C4⋊C4×C89—22no—
582C4⋊C4×C89—22no—
583C4⋊C4×C89—22no—
584C4⋊C4×C89—41no—
585C4⋊C4×C89—41no—
586C4⋊C4×C89—41no—
587C4⋊C4×C89—41no—
588C4⋊C4×C89C2×D414yes—
589C22⋊C4×C89—22no—
590C22⋊C4×C89—22no—
591C22⋊C4×C89—22no—
592C22⋊C4×C89—41no—
593C22⋊C4×C89—41no—
594C22⋊C4×C89—41no—
595C42×C89—22no—
596C42×C89—41no—
597C23×C89—21no—
598C23×C89—21no—
599C23×C89—21no—
600C23×C89—21no—
601C23×C89—21no—
602C23×C89—21no—
603C23×C892−1+412yes—
604C23×C89C2511yescharacteristic
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—21no—
626C22×D89—21no—
627C22×D89—21no—
628C22×D89—21no—
629C22×D89—21no—
630C22×D89—21no—
631C22×D89—21no—
632C22×D89—21no—
633C22×D89—21no—
634C22×D89—21no—
635C22×D89—21no—
636C22×D89—21no—
637C22×D89—44no—
638C22×D89—44no—
639C22×D89—44no—
640C22×D89—44no—
641C22×D89—44no—
642C22×D89—44no—
643C22×D89—44no—
644C22×D89C22×D412yes—
645C22×D89C22×D412yes—
646C22×D89H(5,𝔽2)12yes—
647Q8×C89—44no—
648Q8×C89—82no—
649Q8×C89—82no—
650C2×C4×C89—21no—
651C2×C4×C89—21no—
652C2×C4×C89—21no—
653C2×C4×C89—21no—
654C2×C4×C89—21no—
655C2×C4×C89—21no—
656C2×C4×C89—21no—
657C2×C4×C89—21no—
658C2×C4×C89—21no—
659C2×C4×C89—21no—
660C2×C4×C89—21no—
661C2×C4×C89—21no—
662C2×C4×C89—21no—
663C2×C4×C89—21no—
664C2×C4×C89—21no—
665C2×C4×C89—21no—
666C2×C4×C89—21no—
667C2×C4×C89—21no—
668C2×C4×C89—21no—
669C2×C4×C89—21no—
670C2×C4×C89—21no—
671C2×C4×C89—21no—
672C2×C4×C89—21no—
673C2×C4×C89—21no—
674C2×C4×C89—21no—
675C2×C4×C89—21no—
676C2×C4×C89—21no—
677C2×C4×C89—21no—
678C2×C4×C89—21no—
679C2×C4×C89—21no—
680C2×C4×C89—21no—
681C2×C4×C89—21no—
682C2×C4×C89—21no—
683C2×C4×C89—21no—
684C2×C4×C89—21no—
685C2×C4×C89—21no—
686C2×C4×C89—21no—
687C2×C4×C89—21no—
688C2×C4×C89—44no—
689C2×C4×C89C22×D412yes—
690C2×C4×C89C22×D412yes—
691C2×C4×C89C22×D412yes—
692C2×C4×C89H(5,𝔽2)12yes—
693C22⋊D89—44no—
694C22⋊D89—44no—
695C22⋊D89—82no—
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—21no—
715C2×Dic89—21no—
716C2×Dic89—21no—
717C2×Dic89—21no—
718C2×Dic89—21no—
719C2×Dic89—21no—
720C2×Dic89—21no—
721C2×Dic89—21no—
722C2×Dic89—21no—
723C2×Dic89—21no—
724C2×Dic89—21no—
725C2×Dic89—21no—
726C2×Dic89—21no—
727C2×Dic89—44no—
728C2×Dic89C22×D412yes—
729C2×Dic89C22×D412yes—
730D356—44no—
731D356—44no—
732D356—44no—
733D356—44no—
734D356—44no—
735D356—82no—
736D356—82no—
737D356—82no—
738D356—82no—
739C4×D89—28no—
740C4×D89—44no—
741C4×D89—44no—
742C4×D89—44no—
743C4×D89—44no—
744C4×D89—44no—
745C4×D89—44no—
746C4×D89—82no—
747C4×D89—82no—
748Dic178—44no—
749C22×C89—22no—
750C22×C89—22no—
751C22×C89—22no—
752C22×C89—41no—
753C22×C89—41no—
754C22×C89—41no—
755C22×C89—41no—
756C22×C89C23×D411yescharacteristic
757C22×C89C2×H(5,𝔽2)11yescharacteristic
758C22×C89C2×H(5,𝔽2)11yescharacteristic
759C22×C89C2×2−1+411yescharacteristic
760C22×C89#58511yescharacteristic
761C22×C89#58511yescharacteristic
762C22×C89#58511yescharacteristic
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—416no—
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—41no—
788C2×D89—41no—
789C2×D89—41no—
790C2×D89—41no—
791C2×D89—41no—
792C2×D89—41no—
793C2×D89—41no—
794C2×D89—41no—
795C2×D89—41no—
796C2×D89—41no—
797C2×D89—41no—
798C2×D89—41no—
799C4×C89—22no—
800C4×C89—22no—
801C4×C89—22no—
802C4×C89—22no—
803C4×C89—41no—
804C4×C89—41no—
805C4×C89—41no—
806C4×C89—41no—
807C4×C89—41no—
808C4×C89—41no—
809C4×C89—41no—
810C4×C89—41no—
811C4×C89—41no—
812C4×C89—41no—
813Dic89—22no—
814Dic89—22no—
815Dic89—41no—
816Dic89—41no—
817Dic89—41no—
818Dic89—41no—
819Dic89—41no—
820Dic89—41no—
821Dic89—41no—
822Dic89—41no—
823Dic89—41no—
824#36712—891nomaximal, Sylow
825C2×C89—42no—
826C2×C89#344911yescharacteristic
827C2×C89#348411yescharacteristic
828C2×C89#348911yescharacteristic
829C2×C89#353311yescharacteristic
830C2×C89#353511yescharacteristic
831C2×C89#354011yescharacteristic
832C2×C89#354111yescharacteristic
833D89—42no—
834D89—42no—
835D89—42no—
836D89—81no—
837D89—81no—
838C2×#542—891no—
839C2×#525—891no—
840#2849—891no—
841#2848—891no—
842#2696—891no—
843#2695—891no—
844#2692—891no—
845#2691—891no—
846#2689—891no—
847#2686—891no—
848#2685—891no—
849#2684—891no—
850#2677D8911yescharacteristic, complemented
851#2676—891no—
852#2674—891no—
853#2674—891no—
854#2672—891no—
855#2671—891no—
856#2670—891no—
857#2668—891no—
858#2638—891no—
859#2630—891no—
860#2609—891no—
861#2602—891no—
862#2599—891no—
863#2598—891no—
864#2580—891no—
865#2564—891no—
866#2432—891no—
867#2430—891no—
868#2318—891no—
869C89#3671211yescharacteristic, complemented, Sylow
870C22×#41—891no—
871C24×C4—891no—
872#542—1788no—
873C2×C4⋊Q8C2×D8911yescharacteristic, complemented
874C2×C4⋊Q8C2×D8911yescharacteristic, complemented
875C2×#126—891no—
876C2×#126—891no—
877C2×#124—891no—
878C2×#124—891no—
879C2×#124—891no—
880C2×#124—891no—
881#525—1788no—
882C2×#123—891no—
883C2×#123—891no—
884C2×#123—891no—
885C2×#123—891no—
886C2×#123—891no—
887C2×C22⋊Q8—891no—
888C2×C22⋊Q8—891no—
889C2×C22⋊Q8—891no—
890C2×C22⋊Q8—891no—
891C2×C22⋊Q8—891no—
892C2×C22⋊Q8C2×D8911yescharacteristic
893C2×C22⋊Q8C2×D8911yescharacteristic
894C2×#121—891no—
895C2×#121—891no—
896C2×#121—891no—
897C2×#121—891no—
898C2×#121—891no—
899C2×#120—891no—
900C2×#120—891no—
901C2×#120—891no—
902C2×C4×Q8—891no—
903C2×C4×D4—891no—
904C2×C4×D4—891no—
905C2×C4×D4—891no—
906C2×C4×D4—891no—
907C2×#117—891no—
908C2×#117—891no—
909#400—891no—
910#400—891no—
911#399—891no—
912#399—891no—
913#399—891no—
914#399C2×D8911yescharacteristic
915#398—891no—
916#398—891no—
917#398C2×D8911yescharacteristic, complemented
918#398C2×D8911yescharacteristic, complemented
919#397—891no—
920#397—891no—
921#397—891no—
922#397—891no—
923#397—891no—
924#397—891no—
925#396—891no—
926#396—891no—
927#396—891no—
928#396—891no—
929#395—891no—
930#395—891no—
931#395C2×D8911yescharacteristic, complemented
932#395C2×D8911yescharacteristic, complemented
933#394—891no—
934#394—891no—
935#394—891no—
936#394—891no—
937#394—891no—
938#394—891no—
939#394—891no—
940#394—891no—
941#394—891no—
942#394—891no—
943#394—891no—
944#394—891no—
945#394—891no—
946#394—891no—
947#393—891no—
948#393—891no—
949#393—891no—
950#393—891no—
951#393—891no—
952#393C2×D8911yescharacteristic
953#392—891no—
954#392—891no—
955#392—891no—
956#392—891no—
957#391—891no—
958#390—891no—
959#390—891no—
960#390—891no—
961#390—891no—
962#389—891no—
963#389—891no—
964#389—891no—
965#388—891no—
966#388—891no—
967#388—891no—
968#388—891no—
969#388—891no—
970#388—891no—
971#388—891no—
972#388—891no—
973#388C2×D8911yescharacteristic
974#388C2×D8911yescharacteristic
975#387—891no—
976#387—891no—
977#387—891no—
978#387—891no—
979#387—891no—
980#387—891no—
981#387C2×D8911yescharacteristic, complemented
982#387C2×D8911yescharacteristic, complemented
983#386—891no—
984#386—891no—
985#386—891no—
986#386—891no—
987#386—891no—
988#386—891no—
989#386—891no—
990#386—891no—
991#386—891no—
992#386—891no—
993#386—891no—
994#386—891no—
995#386—891no—
996#386—891no—
997#385—891no—
998#385—891no—
999#385—891no—
1000#385—891no—
1001#385—891no—
1002#385—891no—
1003#385—891no—
1004#385—891no—
1005#385—891no—
1006#385—891no—
1007#385—891no—
1008#385—891no—
1009#385—891no—
1010#385—891no—
1011#385—891no—
1012#385C2×D8911yescharacteristic
1013#383—891no—
1014#382—891no—
1015#381—891no—
1016#381—891no—
1017#380—891no—
1018#380—891no—
1019#380—891no—
1020#380—891no—
1021#380—891no—
1022#379—891no—
1023#379—891no—
1024#379—891no—
1025C4×C22⋊C4—891no—
1026C2×#95—891no—
1027C25—891no—
1028C2×#41—3562no—
1029C2×#41—3562no—
1030C2×#41—1784no—
1031C22×Q8—891no—
1032C22×Q8C22×D8911yescharacteristic
1033C22×Q8C22×D8911yescharacteristic
1034C22×Q8C22×D8911yescharacteristic
1035C22×D4—891no—
1036C22×D4—891no—
1037C22×D4—891no—
1038C22×D4—891no—
1039C22×D4—891no—
1040C22×D4—891no—
1041C22×D4—891no—
1042C22×D4—891no—
1043C22×D4—891no—
1044C22×D4—891no—
1045C22×D4—891no—
1046C22×D4—891no—
1047C23×C4—891no—
1048C23×C4—891no—
1049C23×C4—891no—
1050C23×C4—891no—
1051C23×C4—891no—
1052C23×C4—891no—
1053C23×C4—891no—
1054C23×C4—891no—
1055C23×C4—891no—
1056C23×C4—891no—
1057C23×C4—3562no—
1058C23×C4—3562no—
1059C23×C4—1784no—
1060C23×C4C22×D8911yescharacteristic
1061C4⋊Q8—24no—
1062C4⋊Q8—42no—
1063#126—1784no—
1064#126—1784no—
1065#124—3562no—
1066#124—1784no—
1067#124—1784no—
1068#124—1784no—
1069#123—3562no—
1070#123—1784no—
1071#123—1784no—
1072#123—1784no—
1073#123—1784no—
1074C22⋊Q8—24no—
1075C22⋊Q8—42no—
1076C22⋊Q8—3562no—
1077C22⋊Q8—1784no—
1078C22⋊Q8—1784no—
1079C22⋊Q8—1784no—
1080C22⋊Q8—1784no—
1081#121—3562no—
1082#121—3562no—
1083#121—1784no—
1084#121—1784no—
1085#121—1784no—
1086#120—3562no—
1087#120—1784no—
1088#120—1784no—
1089C4×Q8—1784no—
1090C4×D4—898no—
1091C4×D4—1784no—
1092C4×D4—1784no—
1093C4×D4—1784no—
1094#117—1784no—
1095#117—1784no—
1096C2×C4⋊C4—891no—
1097C2×C4⋊C4—891no—
1098C2×C4⋊C4—891no—
1099C2×C4⋊C4—891no—
1100C2×C4⋊C4—891no—
1101C2×C4⋊C4—891no—
1102C2×C4⋊C4—891no—
1103C2×C4⋊C4—891no—
1104C2×C4⋊C4—891no—
1105C2×C4⋊C4—891no—
1106C2×C4⋊C4—891no—
1107C2×C4⋊C4—891no—
1108C2×C4⋊C4—891no—
1109C2×C4⋊C4—891no—
1110C2×C4⋊C4—891no—
1111C2×C4⋊C4—891no—
1112C2×C4⋊C4—891no—
1113C2×C4⋊C4—891no—
1114C2×C4⋊C4—891no—
1115C2×C4⋊C4C22×D8911yescharacteristic
1116C2×C4⋊C4C22×D8911yescharacteristic
1117C2×C4⋊C4C22×D8911yescharacteristic
1118C2×C4⋊C4C22×D8911yescharacteristic
1119C2×C4⋊C4C22×D8911yescharacteristic
1120C2×C4⋊C4C22×D8911yescharacteristic
1121C2×C4⋊C4C22×D8911yescharacteristic
1122C2×C4⋊C4C22×D8911yescharacteristic
1123C2×C4⋊C4C22×D8911yescharacteristic
1124C2×C4⋊C4C22×D8911yescharacteristic
1125C2×C4⋊C4C22×D8911yescharacteristic
1126C2×C4⋊C4C22×D8911yescharacteristic
1127C2×C4⋊C4C22×D8911yescharacteristic
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—891no—
1135C2×C22⋊C4—891no—
1136C2×C22⋊C4—891no—
1137C2×C22⋊C4—891no—
1138C2×C22⋊C4—891no—
1139C2×C22⋊C4—891no—
1140C2×C22⋊C4—891no—
1141C2×C22⋊C4—891no—
1142C2×C22⋊C4—891no—
1143C2×C22⋊C4—891no—
1144C2×C22⋊C4—891no—
1145C2×C22⋊C4—891no—
1146C2×C22⋊C4—891no—
1147C2×C22⋊C4—891no—
1148C2×C22⋊C4—891no—
1149C2×C22⋊C4—891no—
1150C2×C22⋊C4—891no—
1151C2×C22⋊C4—891no—
1152C2×C22⋊C4—891no—
1153C2×C22⋊C4—891no—
1154C2×C22⋊C4—891no—
1155C2×C22⋊C4—891no—
1156C2×C22⋊C4—891no—
1157C2×C22⋊C4—891no—
1158C2×C22⋊C4—891no—
1159C2×C22⋊C4—891no—
1160C2×C22⋊C4—891no—
1161C2×C22⋊C4—891no—
1162C2×C22⋊C4—891no—
1163C2×C22⋊C4—891no—
1164C2×C22⋊C4—891no—
1165C2×C22⋊C4—891no—
1166C2×C22⋊C4—891no—
1167C2×C22⋊C4—891no—
1168C2×C22⋊C4—891no—
1169C2×C22⋊C4—891no—
1170C2×C22⋊C4—891no—
1171C2×C22⋊C4—891no—
1172C2×C22⋊C4—891no—
1173C2×C22⋊C4—891no—
1174C2×C22⋊C4C22×D8911yescharacteristic
1175C2×C22⋊C4C22×D8911yescharacteristic
1176C2×C22⋊C4C22×D8911yescharacteristic
1177C2×C22⋊C4C22×D8911yescharacteristic
1178C2×C22⋊C4C22×D8911yescharacteristic
1179C2×C22⋊C4C22×D8911yescharacteristic
1180C2×C42—891no—
1181C2×C42—891no—
1182C2×C42—891no—
1183C2×C42—891no—
1184C2×C42—891no—
1185C2×C42C22×D8911yescharacteristic
1186C2×C42C22×D8911yescharacteristic
1187#95—891no—
1188#95—891no—
1189#95—891no—
1190#95—891no—
1191#95—891no—
1192#95—891no—
1193#95—891no—
1194#95—891no—
1195#95—891no—
1196#95—891no—
1197#95—891no—
1198#95—891no—
1199#95—891no—
1200#95—891no—
1201#95—891no—
1202#95—891no—
1203#95—891no—
1204#95—891no—
1205#95—891no—
1206#95—891no—
1207#95—891no—
1208#95—891no—
1209#95—891no—
1210#95—891no—
1211#95—891no—
1212#95—891no—
1213#95C22×D8911yescharacteristic
1214#95C22×D8911yescharacteristic
1215#95C22×D8911yescharacteristic
1216#95C22×D8911yescharacteristic
1217#95C22×D8911yescharacteristic
1218#95C22×D8911yescharacteristic
1219#95C22×D8911yescharacteristic
1220#95C22×D8911yescharacteristic
1221#95C22×D8911yescharacteristic
1222#95C22×D8911yescharacteristic
1223C24—891no—
1224C24—891no—
1225C24—891no—
1226C24—891no—
1227C24—891no—
1228C24—3561no—
1229C24—3561no—
1230C24—3561no—
1231C24—3561no—
1232C24—1782no—
1233C24—1782no—
1234C24—1782no—
1235C24C23×D8911yescharacteristic
1236#41—35616no—
1237C2×Q8—22no—
1238C2×Q8—22no—
1239C2×Q8—22no—
1240C2×Q8—22no—
1241C2×Q8—41no—
1242C2×Q8—41no—
1243C2×Q8—41no—
1244C2×Q8—41no—
1245C2×Q8—41no—
1246C2×Q8—3561no—
1247C2×Q8—3561no—
1248C2×Q8—1782no—
1249C2×D4—894no—
1250C2×D4—3561no—
1251C2×D4—3561no—
1252C2×D4—3561no—
1253C2×D4—3561no—
1254C2×D4—3561no—
1255C2×D4—3561no—
1256C2×D4—3561no—
1257C2×D4—3561no—
1258C2×D4—3561no—
1259C2×D4—3561no—
1260C2×D4—3561no—
1261C2×D4—3561no—
1262C2×D4—3561no—
1263C2×D4—3561no—
1264C2×D4—3561no—
1265C2×D4—3561no—
1266C2×D4—3561no—
1267C2×D4—3561no—
1268C2×D4—3561no—
1269C2×D4—3561no—
1270C2×D4—1782no—
1271C2×D4—1782no—
1272C2×D4—1782no—
1273C2×D4—1782no—
1274C2×D4—1782no—
1275C2×D4—1782no—
1276C2×D4—1782no—
1277C2×D4—1782no—
1278C2×D4—1782no—
1279C2×D4—1782no—
1280C2×D4—1782no—
1281C2×D4—1782no—
1282C2×D4—1782no—
1283C2×D4—1782no—
1284C2×D4—1782no—
1285C22×C4—22no—
1286C22×C4—22no—
1287C22×C4—41no—
1288C22×C4—891no—
1289C22×C4—891no—
1290C22×C4—894no—
1291C22×C4—894no—
1292C22×C4—891no—
1293C22×C4—891no—
1294C22×C4—891no—
1295C22×C4—891no—
1296C22×C4—891no—
1297C22×C4—891no—
1298C22×C4—891no—
1299C22×C4—891no—
1300C22×C4—891no—
1301C22×C4—3561no—
1302C22×C4—3561no—
1303C22×C4—3561no—
1304C22×C4—3561no—
1305C22×C4—3561no—
1306C22×C4—3561no—
1307C22×C4—3561no—
1308C22×C4—3561no—
1309C22×C4—3561no—
1310C22×C4—3561no—
1311C22×C4—3561no—
1312C22×C4—3561no—
1313C22×C4—3561no—
1314C22×C4—3561no—
1315C22×C4—3561no—
1316C22×C4—3561no—
1317C22×C4—35616no—
1318C22×C4—3561no—
1319C22×C4—3561no—
1320C22×C4—1782no—
1321C22×C4—1782no—
1322C22×C4—1782no—
1323C22×C4—1782no—
1324C22×C4—1782no—
1325C22×C4—1782no—
1326C22×C4—1782no—
1327C22×C4—1782no—
1328C22×C4—1782no—
1329C22×C4—1782no—
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
1340C22×C4C23×D8911yescharacteristic
1341C22×C4C23×D8911yescharacteristic
1342C22×C4C23×D8911yescharacteristic
1343C22×C4C23×D8911yescharacteristic
1344C4⋊C4—22no—
1345C4⋊C4—22no—
1346C4⋊C4—22no—
1347C4⋊C4—22no—
1348C4⋊C4—22no—
1349C4⋊C4—22no—
1350C4⋊C4—22no—
1351C4⋊C4—22no—
1352C4⋊C4—41no—
1353C4⋊C4—41no—
1354C4⋊C4—41no—
1355C4⋊C4—41no—
1356C4⋊C4—3561no—
1357C4⋊C4—3561no—
1358C4⋊C4—3561no—
1359C4⋊C4—3561no—
1360C4⋊C4—3561no—
1361C4⋊C4—3561no—
1362C4⋊C4—3561no—
1363C4⋊C4—3561no—
1364C4⋊C4—3561no—
1365C4⋊C4—3561no—
1366C4⋊C4—1782no—
1367C4⋊C4—1782no—
1368C4⋊C4—1782no—
1369C4⋊C4—1782no—
1370C4⋊C4—1782no—
1371C4⋊C4—1782no—
1372C4⋊C4—1782no—
1373C4⋊C4—1782no—
1374C4⋊C4—1782no—
1375C4⋊C4D4×D8914yes—
1376C22⋊C4—22no—
1377C22⋊C4—22no—
1378C22⋊C4—22no—
1379C22⋊C4—41no—
1380C22⋊C4—41no—
1381C22⋊C4—41no—
1382C22⋊C4—894no—
1383C22⋊C4—894no—
1384C22⋊C4—3561no—
1385C22⋊C4—3561no—
1386C22⋊C4—3561no—
1387C22⋊C4—3561no—
1388C22⋊C4—3561no—
1389C22⋊C4—3561no—
1390C22⋊C4—3561no—
1391C22⋊C4—3561no—
1392C22⋊C4—3561no—
1393C22⋊C4—3561no—
1394C22⋊C4—3561no—
1395C22⋊C4—3561no—
1396C22⋊C4—3561no—
1397C22⋊C4—3561no—
1398C22⋊C4—3561no—
1399C22⋊C4—3561no—
1400C22⋊C4—3561no—
1401C22⋊C4—3561no—
1402C22⋊C4—3561no—
1403C22⋊C4—3561no—
1404C22⋊C4—3561no—
1405C22⋊C4—3561no—
1406C22⋊C4—3561no—
1407C22⋊C4—3561no—
1408C22⋊C4—1782no—
1409C22⋊C4—1782no—
1410C22⋊C4—1782no—
1411C22⋊C4—1782no—
1412C22⋊C4—1782no—
1413C22⋊C4—1782no—
1414C22⋊C4—1782no—
1415C22⋊C4—1782no—
1416C22⋊C4—1782no—
1417C22⋊C4—1782no—
1418C22⋊C4—1782no—
1419C22⋊C4—1782no—
1420C22⋊C4—1782no—
1421C22⋊C4—1782no—
1422C22⋊C4—1782no—
1423C22⋊C4—1782no—
1424C22⋊C4—1782no—
1425C22⋊C4—1782no—
1426C22⋊C4—1782no—
1427C22⋊C4—1782no—
1428C42—22no—
1429C42—41no—
1430C42—894no—
1431C42—3561no—
1432C42—1782no—
1433C42—1782no—
1434C42—1782no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—892no—
1442C23—892no—
1443C23—892no—
1444C23—3564no—
1445C23—3564no—
1446C23—3564no—
1447C23—3564no—
1448C23—3564no—
1449C23—3564no—
1450C23—3564no—
1451C23—1781no—
1452C23—1781no—
1453C23—1781no—
1454C23—1781no—
1455C23—1781no—
1456C23—1781no—
1457C23—1781no—
1458C23—1781no—
1459C23—1781no—
1460C23—1781no—
1461C23—1781no—
1462C23—1781no—
1463C23—1781no—
1464C23—1781no—
1465C23—1781no—
1466C23—1781no—
1467C23—1781no—
1468C23—1781no—
1469C23—1781no—
1470C23—1781no—
1471C23—1781no—
1472C23—1781no—
1473C23—1781no—
1474C23—1781no—
1475C23—1781no—
1476C23—1781no—
1477C23—1781no—
1478C23—1781no—
1479C23—1781no—
1480C23—1781no—
1481C23—1781no—
1482C23—1781no—
1483C23#1566806012yes—
1484C23C24×D8911yescharacteristic
1485Q8—44no—
1486Q8—82no—
1487Q8—82no—
1488Q8—3564no—
1489D4—3564no—
1490D4—3564no—
1491D4—3564no—
1492D4—3564no—
1493D4—3564no—
1494D4—3564no—
1495D4—3564no—
1496D4—7122no—
1497D4—7122no—
1498D4—7122no—
1499D4—7122no—
1500D4—7122no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—44no—
1540C2×C4—892no—
1541C2×C4—892no—
1542C2×C4—3564no—
1543C2×C4—3564no—
1544C2×C4—3564no—
1545C2×C4—3564no—
1546C2×C4—3564no—
1547C2×C4—3564no—
1548C2×C4—3564no—
1549C2×C4—1788no—
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—1781no—
1563C2×C4—1781no—
1564C2×C4—1781no—
1565C2×C4—1781no—
1566C2×C4—1781no—
1567C2×C4—1781no—
1568C2×C4—1781no—
1569C2×C4—1781no—
1570C2×C4—1781no—
1571C2×C4—1781no—
1572C2×C4—1781no—
1573C2×C4—1781no—
1574C2×C4—1781no—
1575C2×C4—1781no—
1576C2×C4—1781no—
1577C2×C4—1781no—
1578C2×C4—1781no—
1579C2×C4—1781no—
1580C2×C4—1781no—
1581C2×C4—7122no—
1582C2×C4—7122no—
1583C2×C4C2×D4×D8912yes—
1584C2×C4C2×D4×D8912yes—
1585C2×C4C2×D4×D8912yes—
1586C2×C4#1566805712yes—
1587C22—22no—
1588C22—22no—
1589C22—22no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—35616no—
1595C22—3561no—
1596C22—3561no—
1597C22—3561no—
1598C22—3561no—
1599C22—3561no—
1600C22—3561no—
1601C22—3561no—
1602C22—3561no—
1603C22—3561no—
1604C22—3561no—
1605C22—3561no—
1606C22—3561no—
1607C22—3561no—
1608C22—3561no—
1609C22—3561no—
1610C22—3561no—
1611C22—3561no—
1612C22—3561no—
1613C22—3561no—
1614C22—3561no—
1615C22—3561no—
1616C22—3561no—
1617C22—3561no—
1618C22—3561no—
1619C22—3561no—
1620C22—3561no—
1621C22—1782no—
1622C22—1782no—
1623C22—1782no—
1624C22—1782no—
1625C22—1782no—
1626C22—1782no—
1627C22—1782no—
1628C22—1782no—
1629C22—1782no—
1630C22C22×D4×D8911yescharacteristic
1631C22H(5,𝔽2)×D8911yescharacteristic
1632C22C2×#1566805711yescharacteristic
1633C22C2×#1566806011yescharacteristic
1634C22#1915243511yescharacteristic
1635C22#1915243511yescharacteristic
1636C22#1915243511yescharacteristic
1637C4—22no—
1638C4—22no—
1639C4—22no—
1640C4—22no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—3561no—
1652C4—3561no—
1653C4—3561no—
1654C4—3561no—
1655C4—3561no—
1656C4—3561no—
1657C4—3561no—
1658C4—3561no—
1659C4—3561no—
1660C4—1782no—
1661C4—1782no—
1662C2—42no—
1663C2—3562no—
1664C2—3562no—
1665C2—3562no—
1666C2—7121no—
1667C2—7121no—
1668C2#2603358411yescharacteristic
1669C2#2603388011yescharacteristic
1670C2#2603392911yescharacteristic
1671C2#2603442811yescharacteristic
1672C2#2603446211yescharacteristic
1673C2#2603452911yescharacteristic
1674C2#2603455011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D89
commutator, socle, cosocleC23×C89C25
FittingC89×#2677C2
hypercenter#2677D89
hypocenterC89#36712
LCSG ▷ C23×C89 ▷ C89
UCSC1 ◁ C23 ◁ #2677

Complements

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

NH ≅ G/Ntype
1. C2×#19152222C2semidirect
2. C2×#19152111C2semidirect
3. #26028547C2semidirect
4. #26028536C2semidirect
5. #26026800C2semidirect
6. #26026793C2semidirect
7. #26026744C2semidirect
8. #26026737C2semidirect
9. #26026702C2semidirect
10. #26026661C2semidirect
11. #26026640C2semidirect
12. #26026633C2semidirect
13. #26026549C2semidirect
14. #26026528C2semidirect
15. #26026528C2semidirect
16. #26026502C2semidirect
17. #26026495C2semidirect
18. #26026472C2semidirect
19. #26026461C2semidirect
20. #26026178C2semidirect
21. #26026102C2semidirect
22. #26025931C2semidirect
23. #26025869C2semidirect
24. #26025832C2semidirect
25. #26025816C2semidirect
26. #26025607C2semidirect
27. #26025429C2semidirect
28. #26023877C2semidirect
29. #26023863C2semidirect
30. #26022884C2semidirect
31. C89×#2677C2semidirect
36. C2×#15668007C22semidirect
39. C2×#15668001C22semidirect
46. C2×#15667997C22semidirect
47. C2×#15667992C22semidirect
51. C2×#15667988C22semidirect
55. C2×#15667987C22semidirect
60. C2×#15667977C22semidirect
66. C2×#15667969C22semidirect
67. #19151539C22semidirect
68. #19151538C22semidirect
70. #19151533C22semidirect
71. #19151533C22semidirect
72. #19151532C22semidirect
73. #19151528C22semidirect
75. #19151527C22semidirect
76. #19151525C22semidirect
81. #19151520C22semidirect
82. #19151520C22semidirect
83. #19151520C22semidirect
84. #19151518C22semidirect
85. #19151517C22semidirect
90. #19151516C22semidirect
95. #19151515C22semidirect
96. #19151515C22semidirect
97. #19151515C22semidirect
101. #19151511C22semidirect
103. #19151509C22semidirect
104. #19151509C22semidirect
109. #19151505C22semidirect
114. #19151493C22semidirect
115. #19151493C22semidirect
116. #19151493C22semidirect
119. #19151489C22semidirect
120. #19151489C22semidirect
124. #19151487C22semidirect
125. #19151484C22semidirect
126. #19151484C22semidirect
127. #19151484C22semidirect
128. #19151480C22semidirect
129. #19151480C22semidirect
130. #19151480C22semidirect
138. #19151476C22semidirect
139. #19151476C22semidirect
140. #19151476C22semidirect
145. #19151472C22semidirect
155. #19151469C22semidirect
156. #19151469C22semidirect
157. #19151469C22semidirect
158. #19151469C22semidirect
159. #19151469C22semidirect
160. #19151465C22semidirect
161. #19151462C22semidirect
165. #19151457C22semidirect
166. #19151457C22semidirect
172. C4×#13083551C22semidirect
173. #95×D89C22semidirect
174. C2×C4⋊Q8×C89C22semidirect
175. C2×C4⋊Q8×C89C22semidirect
179. #398×C89C22semidirect
180. #398×C89C22semidirect
181. #395×C89C22semidirect
182. #395×C89C22semidirect
186. #387×C89C22semidirect
187. #387×C89C22semidirect
245. #15667974D4semidirect
850. #2677D89semidirect
869. C89#36712semidirect
873. C2×C4⋊Q8C2×D89semidirect
874. C2×C4⋊Q8C2×D89semidirect
917. #398C2×D89semidirect
918. #398C2×D89semidirect
931. #395C2×D89semidirect
932. #395C2×D89semidirect
981. #387C2×D89semidirect
982. #387C2×D89semidirect

Maximal subgroups

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

subgroupindex
C2×#191522222
C2×#191521112
#260285472
#260285362
#260268002
#260267932
#260267442
#260267372
#260267022
#260266612
#260266402
#260266332
#260265492
#260265282
#260265022
#260264952
#260264722
#260264612
#260261782
#260261022
#260259312
#260258692
#260258322
#260258162
#260256072
#260254292
#260238772
#260238632
#260228842
C89×#26772
#3671289