Finite Group Databasebeta

← #36761301

Subgroups — #36761301

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×#19152218C211yesmaximal, characteristic, complemented
2C2×#19152107C211yesmaximal, characteristic, complemented
3#26028547C211yesmaximal, characteristic, complemented
4#26028538C211yesmaximal, characteristic, complemented
5#26026795C211yesmaximal, characteristic, complemented
6#26026784C211yesmaximal, characteristic, complemented
7#26026741C211yesmaximal, characteristic, complemented
8#26026730C211yesmaximal, characteristic, complemented
9#26026696C211yesmaximal, characteristic, complemented
10#26026655C211yesmaximal, characteristic, complemented
11#26026636C211yesmaximal, characteristic, complemented
12#26026629C211yesmaximal, characteristic, complemented
13#26026561C211yesmaximal, characteristic, complemented
14#26026554C211yesmaximal, characteristic, complemented
15#26026526C211yesmaximal, characteristic, complemented
16#26026526C211yesmaximal, characteristic, complemented
17#26026504C211yesmaximal, characteristic, complemented
18#26026485C211yesmaximal, characteristic, complemented
19#26026472C211yesmaximal, characteristic, complemented
20#26026457C211yesmaximal, characteristic, complemented
21#26026176C211yesmaximal, characteristic, complemented
22#26026101C211yesmaximal, characteristic, complemented
23#26025931C211yesmaximal, characteristic, complemented
24#26025864C211yesmaximal, characteristic, complemented
25#26025827C211yesmaximal, characteristic, complemented
26#26025817C211yesmaximal, characteristic, complemented
27#26025609C211yesmaximal, characteristic, complemented
28#26023881C211yesmaximal, characteristic, complemented
29#26023862C211yesmaximal, characteristic, complemented
30#26022886C211yesmaximal, characteristic, complemented
31C89×#2564C211yesmaximal, characteristic, complemented
32C22×#13083574C2211yescharacteristic
33C23×C4×D89C2211yescharacteristic
34#19152218—28no—
35C2×#15668010C2211yescharacteristic, complemented
36C2×#15668010C2211yescharacteristic, complemented
37C2×#15668007C2211yescharacteristic
38C2×#15668005C2211yescharacteristic, complemented
39C2×#15668001C2211yescharacteristic
40C2×#15668001C2211yescharacteristic
41C2×#15667998C2211yescharacteristic
42C2×#15667998C2211yescharacteristic, complemented
43#19152107—28no—
44C2×#15667997C2211yescharacteristic
45C2×#15667997C2211yescharacteristic
46C2×#15667997C2211yescharacteristic
47C2×#15667995C2211yescharacteristic, complemented
48C2×#15667994C2211yescharacteristic
49C2×#15667990C2211yescharacteristic
50C2×#15667990C2211yescharacteristic
51C2×#15667990C2211yescharacteristic
52C2×#15667990C2211yescharacteristic, complemented
53C2×#15667989C2211yescharacteristic
54C2×#15667989C2211yescharacteristic
55C2×#15667986C2211yescharacteristic
56C2×#15667986C2211yescharacteristic, complemented
57C2×#15667985C2211yescharacteristic
58C2×#15667985C2211yescharacteristic
59C2×#15667984C2211yescharacteristic
60C2×#15667982C2211yescharacteristic
61C2×#15667982C2211yescharacteristic
62C2×#15667980C2211yescharacteristic
63C2×#15667977C2211yescharacteristic, complemented
64C2×C4×D356C2211yescharacteristic
65C2×C4×C22⋊D89C2211yescharacteristic
66C2×C4×C22⋊D89C2211yescharacteristic
67C2×#15667970C2211yescharacteristic, complemented
68C2×#15667969C2211yescharacteristic
69#19151540C2211yescharacteristic, complemented
70#19151534C2211yescharacteristic
71#19151533C2211yescharacteristic, complemented
72#19151533C2211yescharacteristic, complemented
73#19151532C2211yescharacteristic, complemented
74#19151532C2211yescharacteristic, complemented
75#19151532C2211yescharacteristic, complemented
76#19151531C2211yescharacteristic, complemented
77#19151527C2211yescharacteristic
78#19151527C2211yescharacteristic
79#19151527C2211yescharacteristic
80#19151527C2211yescharacteristic, complemented
81#19151526C2211yescharacteristic, complemented
82#19151525C2211yescharacteristic
83#19151522C2211yescharacteristic, complemented
84#19151522C2211yescharacteristic, complemented
85#19151520C2211yescharacteristic
86#19151520C2211yescharacteristic, complemented
87#19151519C2211yescharacteristic, complemented
88#19151519C2211yescharacteristic, complemented
89#19151518C2211yescharacteristic, complemented
90#19151516C2211yescharacteristic
91#19151516C2211yescharacteristic
92#19151516C2211yescharacteristic
93#19151516C2211yescharacteristic
94#19151516C2211yescharacteristic, complemented
95#19151515C2211yescharacteristic
96#19151515C2211yescharacteristic
97#19151514C2211yescharacteristic
98#19151513C2211yescharacteristic
99#19151513C2211yescharacteristic
100#19151513C2211yescharacteristic, complemented
101#19151513C2211yescharacteristic, complemented
102#19151513C2211yescharacteristic, complemented
103#19151512C2211yescharacteristic
104#19151511C2211yescharacteristic
105#19151511C2211yescharacteristic, complemented
106#19151511C2211yescharacteristic, complemented
107#19151511C2211yescharacteristic, complemented
108#19151510C2211yescharacteristic
109#19151508C2211yescharacteristic
110#19151508C2211yescharacteristic
111#19151507C2211yescharacteristic
112#19151506C2211yescharacteristic
113#19151503C2211yescharacteristic, complemented
114#19151499C2211yescharacteristic
115#19151498C2211yescharacteristic
116#19151498C2211yescharacteristic
117#19151498C2211yescharacteristic
118#19151495C2211yescharacteristic, complemented
119#19151493C2211yescharacteristic, complemented
120#19151493C2211yescharacteristic, complemented
121#19151492C2211yescharacteristic
122#19151492C2211yescharacteristic
123#19151489C2211yescharacteristic, complemented
124#19151488C2211yescharacteristic
125#19151488C2211yescharacteristic, complemented
126#19151488C2211yescharacteristic, complemented
127#19151487C2211yescharacteristic
128#19151487C2211yescharacteristic
129#19151487C2211yescharacteristic
130#19151487C2211yescharacteristic
131#19151482C2211yescharacteristic, complemented
132#19151481C2211yescharacteristic, complemented
133#19151480C2211yescharacteristic, complemented
134#19151480C2211yescharacteristic, complemented
135#19151480C2211yescharacteristic, complemented
136#19151480C2211yescharacteristic, complemented
137#19151477C2211yescharacteristic
138#19151477C2211yescharacteristic
139#19151477C2211yescharacteristic
140#19151477C2211yescharacteristic
141#19151477C2211yescharacteristic, complemented
142#19151476C2211yescharacteristic
143#19151476C2211yescharacteristic
144#19151476C2211yescharacteristic
145#19151476C2211yescharacteristic, complemented
146#19151476C2211yescharacteristic, complemented
147#19151475C2211yescharacteristic
148#19151474C2211yescharacteristic
149#19151472C2211yescharacteristic
150#19151472C2211yescharacteristic
151#19151472C2211yescharacteristic, complemented
152#19151471C2211yescharacteristic
153#19151471C2211yescharacteristic, complemented
154#19151471C2211yescharacteristic, complemented
155#19151470C2211yescharacteristic
156#19151469C2211yescharacteristic
157#19151469C2211yescharacteristic
158#19151469C2211yescharacteristic
159#19151469C2211yescharacteristic
160#19151469C2211yescharacteristic, complemented
161#19151469C2211yescharacteristic, complemented
162#19151469C2211yescharacteristic, complemented
163#19151465C2211yescharacteristic, complemented
164#19151462C2211yescharacteristic, complemented
165#19151460C2211yescharacteristic
166#19151460C2211yescharacteristic
167#19151457C2211yescharacteristic
168#19151457C2211yescharacteristic
169#19151456C2211yescharacteristic
170#19151453C2211yescharacteristic
171#19151453C2211yescharacteristic
172#19151453C2211yescharacteristic
173C4×C22⋊Dic89C2211yescharacteristic, complemented
174C2×C22⋊Q8×C89C2211yescharacteristic, complemented
175C2×C4×D4×C89C2211yescharacteristic
176#400×C89C2211yescharacteristic, complemented
177#399×C89C2211yescharacteristic
178#395×C89C2211yescharacteristic, complemented
179#393×C89C2211yescharacteristic
180#387×C89C2211yescharacteristic, complemented
181#387×C89C2211yescharacteristic, complemented
182#386×C89C2211yescharacteristic
183#386×C89C2211yescharacteristic
184#385×C89C2211yescharacteristic
185#385×C89C2211yescharacteristic
186#380×C89C2211yescharacteristic, complemented
187#380×C89C2211yescharacteristic, complemented
188C2×#95×C89C2211yescharacteristic, complemented
189C24×D89C2311yescharacteristic
190C2×#13083574—24no—
191C2×#13083574—42no—
192C2×#13083574—42no—
193C22×Dic178C2311yescharacteristic
194C22×Dic178C2311yescharacteristic
195C22×Dic178C2311yescharacteristic
196C22×D356C2311yescharacteristic
197C22×D356C2311yescharacteristic
198C22×D356C2311yescharacteristic
199C22×D356C2311yescharacteristic
200C22×D356C2311yescharacteristic
201C22×C22⋊D89C2311yescharacteristic
202C22×C22⋊D89C2311yescharacteristic
203C22×C22⋊D89C2311yescharacteristic
204C22×C22⋊D89C2311yescharacteristic
205C22×C22⋊D89C2311yescharacteristic
206C22×C22⋊D89C2311yescharacteristic
207C23×Dic89C2311yescharacteristic
208C22×C4×D89—24no—
209C22×C4×D89—42no—
210C22×C4×D89—42no—
211C22×C4×D89C2311yescharacteristic
212C22×C4×D89C2311yescharacteristic
213C22×C4×D89C2311yescharacteristic
214C22×C4×D89C2311yescharacteristic
215C22×C4×D89C2311yescharacteristic
216C22×C4×D89C2311yescharacteristic
217#15668010—24no—
218#15668010—42no—
219#15668007—24no—
220#15668005—24no—
221#15668001—24no—
222#15668001—42no—
223#15667998—24no—
224#15667998—24no—
225#15667997—24no—
226#15667997—24no—
227#15667997—42no—
228#15667995—24no—
229#15667994—24no—
230#15667990—24no—
231#15667990—24no—
232#15667990—24no—
233#15667990—42no—
234#15667989—24no—
235#15667989—42no—
236#15667986—42no—
237#15667986—42no—
238#15667985—24no—
239#15667985—24no—
240#15667984—24no—
241#15667982—24no—
242#15667982—42no—
243#15667980—24no—
244#15667977—24no—
245C4×D356—24no—
246C4×C22⋊D89—24no—
247C4×C22⋊D89D418yescomplemented
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×#13083553C2311yescharacteristic
270C2×#13083553C2311yescharacteristic
271C2×#13083553C2311yescharacteristic
272C2×#13083553C2311yescharacteristic
273C2×#13083553C2311yescharacteristic
274C2×C22⋊Dic89C2311yescharacteristic
275C2×C22⋊Dic89C2311yescharacteristic
276C2×C22⋊Dic89C2311yescharacteristic
277C2×C22⋊Dic89C2311yescharacteristic
278C2×C22⋊Dic89C2311yescharacteristic
279C2×C22⋊Dic89C2311yescharacteristic
280C2×C22⋊Dic89C2311yescharacteristic
281C2×C22⋊Dic89C2311yescharacteristic
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×#13083551C2311yescharacteristic
316C2×#13083551C2311yescharacteristic
317C2×#13083551C2311yescharacteristic
318C2×C4×Dic89C2311yescharacteristic
319C2×C4×Dic89C2311yescharacteristic
320C2×C4×Dic89C2311yescharacteristic
321C2×C4×Dic89C2311yescharacteristic
322C2×C4×Dic89C2311yescharacteristic
323C2×C4×Dic89C2311yescharacteristic
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×Q8×C89C2311yescharacteristic
349C22×D4×C89C2311yescharacteristic
350C23×C4×C89C2311yescharacteristic
351C23×C4×C89C2311yescharacteristic
352C23×C4×C89C2311yescharacteristic
353C23×C4×C89C2311yescharacteristic
354C22⋊Q8×C89—24no—
355C4×D4×C89—24no—
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×C22⋊C4×C89C2311yescharacteristic
365C2×C22⋊C4×C89C2311yescharacteristic
366C2×C22⋊C4×C89C2311yescharacteristic
367C2×C22⋊C4×C89C2311yescharacteristic
368C2×C22⋊C4×C89C2311yescharacteristic
369C2×C22⋊C4×C89C2311yescharacteristic
370C2×C22⋊C4×C89C2311yescharacteristic
371C2×C22⋊C4×C89C2311yescharacteristic
372C2×C42×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—41no—
389C23×D89—41no—
390C23×D89—41no—
391C23×D89—41no—
392C23×D89C2411yescharacteristic
393C23×D89C2411yescharacteristic
394C23×D89C2411yescharacteristic
395C23×D89C2411yescharacteristic
396#13083574—416no—
397C2×Dic178—22no—
398C2×Dic178—22no—
399C2×Dic178—22no—
400C2×Dic178—22no—
401C2×Dic178—41no—
402C2×Dic178—41no—
403C2×Dic178—41no—
404C2×Dic178—41no—
405C2×Dic178—41no—
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×C22⋊D89—22no—
422C2×C22⋊D89—22no—
423C2×C22⋊D89—22no—
424C2×C22⋊D89—22no—
425C2×C22⋊D89—22no—
426C2×C22⋊D89—22no—
427C2×C22⋊D89—22no—
428C2×C22⋊D89—22no—
429C2×C22⋊D89—41no—
430C2×C22⋊D89—41no—
431C2×C22⋊D89—41no—
432C2×C22⋊D89—41no—
433C2×C22⋊D89—41no—
434C2×C22⋊D89—41no—
435C2×C22⋊D89—41no—
436C2×C22⋊D89—41no—
437C2×C22⋊D89—41no—
438C2×C22⋊D89C2×D414yes—
439C22×Dic89—22no—
440C22×Dic89—22no—
441C22×Dic89—41no—
442C22×Dic89C2411yescharacteristic
443C22×Dic89C2411yescharacteristic
444C22×Dic89C2411yescharacteristic
445C22×Dic89C2411yescharacteristic
446C22×Dic89C2411yescharacteristic
447C22×Dic89C2411yescharacteristic
448C22×Dic89C2411yescharacteristic
449C22×Dic89C2411yescharacteristic
450C22×Dic89C2411yescharacteristic
451C22×Dic89C2411yescharacteristic
452C22×Dic89C2411yescharacteristic
453C22×Dic89C2411yescharacteristic
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—416no—
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×D89C2×D414yes—
473C4⋊Dic89—22no—
474C4⋊Dic89—22no—
475C4⋊Dic89—22no—
476C4⋊Dic89—41no—
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—22no—
487#13083553—41no—
488#13083553—41no—
489#13083553—41no—
490#13083553—41no—
491#13083553—41no—
492#13083553—41no—
493#13083553—41no—
494#13083553—41no—
495#13083553—41no—
496#13083553C2×D414yes—
497C22⋊Dic89—22no—
498C22⋊Dic89—22no—
499C22⋊Dic89—22no—
500C22⋊Dic89—41no—
501C22⋊Dic89—41no—
502C22⋊Dic89—41no—
503C22⋊Dic89—41no—
504C22⋊Dic89C2×D414yes—
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#13083551C2×D414yes—
541C4×Dic89—22no—
542C4×Dic89—22no—
543C4×Dic89—22no—
544C4×Dic89—41no—
545C4×Dic89—41no—
546C4×Dic89C2×D414yes—
547C24×C89C2411yescharacteristic
548C24×C89C2411yescharacteristic
549C2×Q8×C89—22no—
550C2×Q8×C89—41no—
551C2×Q8×C89—41no—
552C2×D4×C89—22no—
553C2×D4×C89—22no—
554C2×D4×C89—41no—
555C22×C4×C89—22no—
556C22×C4×C89—41no—
557C22×C4×C89—41no—
558C22×C4×C89—41no—
559C22×C4×C89—41no—
560C22×C4×C89—41no—
561C22×C4×C89—41no—
562C22×C4×C89—41no—
563C22×C4×C89—41no—
564C22×C4×C89—41no—
565C22×C4×C89—41no—
566C22×C4×C89C2×D414yes—
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
576C22×C4×C89C2411yescharacteristic
577C22×C4×C89C2411yescharacteristic
578C22×C4×C89C2411yescharacteristic
579C22×C4×C89C2411yescharacteristic
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—
588C22⋊C4×C89—22no—
589C22⋊C4×C89—22no—
590C22⋊C4×C89—22no—
591C22⋊C4×C89—22no—
592C22⋊C4×C89—41no—
593C22⋊C4×C89—41no—
594C22⋊C4×C89—41no—
595C22⋊C4×C89—41no—
596C42×C89—22no—
597C23×C89—21no—
598C23×C89—21no—
599C23×C89—21no—
600C23×C89—21no—
601C23×C89—21no—
602C23×C89—21no—
603C23×C89—21no—
604C23×C89—21no—
605C23×C89—21no—
606C23×C89—21no—
607C23×C89—21no—
608C23×C89—21no—
609C23×C89C22×D412yes—
610C23×C892−1+412yes—
611C23×C89C2511yescharacteristic
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—21no—
638C22×D89—44no—
639C22×D89—44no—
640C22×D89—44no—
641C22×D89—44no—
642C22×D89—44no—
643C22×D89—44no—
644C22×D89—44no—
645C22×D89C22×D412yes—
646C22×D89H(5,𝔽2)12yes—
647Q8×C89—82no—
648D4×C89—44no—
649C2×C4×C89—21no—
650C2×C4×C89—21no—
651C2×C4×C89—21no—
652C2×C4×C89—21no—
653C2×C4×C89—21no—
654C2×C4×C89—21no—
655C2×C4×C89—21no—
656C2×C4×C89—21no—
657C2×C4×C89—21no—
658C2×C4×C89—21no—
659C2×C4×C89—21no—
660C2×C4×C89—21no—
661C2×C4×C89—21no—
662C2×C4×C89—21no—
663C2×C4×C89—21no—
664C2×C4×C89—21no—
665C2×C4×C89—21no—
666C2×C4×C89—21no—
667C2×C4×C89—21no—
668C2×C4×C89—21no—
669C2×C4×C89—21no—
670C2×C4×C89—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—44no—
687C2×C4×C89—44no—
688C2×C4×C89—82no—
689C2×C4×C89—82no—
690C2×C4×C89C22×D412yes—
691C2×C4×C89C22×D412yes—
692C22⋊D89—44no—
693C22⋊D89—44no—
694C22⋊D89—44no—
695C22⋊D89—44no—
696C22⋊D89—82no—
697C22⋊D89—82no—
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—21no—
728C2×Dic89—21no—
729C2×Dic89—21no—
730C2×Dic89—44no—
731C2×Dic89C22×D412yes—
732C2×Dic89C22×D412yes—
733C2×Dic89C22×D412yes—
734C2×Dic89H(5,𝔽2)12yes—
735D356—44no—
736D356—44no—
737D356—82no—
738D356—82no—
739D356—82no—
740C4×D89—28no—
741C4×D89—44no—
742C4×D89—44no—
743C4×D89—44no—
744C4×D89—44no—
745C4×D89—44no—
746Dic178—44no—
747Dic178—44no—
748Dic178—82no—
749C22×C89—22no—
750C22×C89—22no—
751C22×C89—22no—
752C22×C89—22no—
753C22×C89—22no—
754C22×C89—22no—
755C22×C89—41no—
756C22×C89—41no—
757C22×C89—41no—
758C22×C89—41no—
759C22×C89—41no—
760C22×C89—41no—
761C22×C89—41no—
762C22×C89—41no—
763C22×C89C23×D411yescharacteristic
764C22×C89C2×H(5,𝔽2)11yescharacteristic
765C22×C89C2×H(5,𝔽2)11yescharacteristic
766C22×C89C2×2−1+411yescharacteristic
767C22×C89#58511yescharacteristic
768C22×C89#58511yescharacteristic
769C22×C89#58511yescharacteristic
770C2×D89—22no—
771C2×D89—22no—
772C2×D89—22no—
773C2×D89—22no—
774C2×D89—22no—
775C2×D89—22no—
776C2×D89—416no—
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—41no—
802C4×C89—41no—
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—
812Dic89—22no—
813Dic89—22no—
814Dic89—22no—
815Dic89—22no—
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—42no—
827C2×C89#344911yescharacteristic
828C2×C89#348411yescharacteristic
829C2×C89#348911yescharacteristic
830C2×C89#353311yescharacteristic
831C2×C89#353511yescharacteristic
832C2×C89#354011yescharacteristic
833C2×C89#354111yescharacteristic
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#2677—891no—
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#2564D8911yescharacteristic, complemented
866#2432—891no—
867#2430—891no—
868#2318—891no—
869C89#3671211yescharacteristic, complemented, Sylow
870C22×#41—891no—
871C24×C4—891no—
872#542—1788no—
873C2×C4⋊Q8—891no—
874C2×C4⋊Q8—891no—
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⋊Q8—891no—
893C2×C22⋊Q8C2×D8911yescharacteristic, complemented
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×D4C2×D8911yescharacteristic
907C2×#117—891no—
908C2×#117—891no—
909#400—891no—
910#400C2×D8911yescharacteristic, complemented
911#399—891no—
912#399—891no—
913#399—891no—
914#399C2×D8911yescharacteristic
915#398—891no—
916#398—891no—
917#398—891no—
918#398—891no—
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#395—891no—
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#388—891no—
974#388—891no—
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#386C2×D8911yescharacteristic
996#386C2×D8911yescharacteristic
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#385C2×D8911yescharacteristic
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#380C2×D8911yescharacteristic, complemented
1021#380C2×D8911yescharacteristic, complemented
1022#379—891no—
1023#379—891no—
1024#379—891no—
1025C4×C22⋊C4—891no—
1026C2×#95C2×D8911yescharacteristic, complemented
1027C25—891no—
1028C2×#41—3562no—
1029C2×#41—3562no—
1030C2×#41—1784no—
1031C22×Q8—891no—
1032C22×Q8—891no—
1033C22×Q8—891no—
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×D4C22×D8911yescharacteristic
1047C23×C4—891no—
1048C23×C4—891no—
1049C23×C4—891no—
1050C23×C4—891no—
1051C23×C4—891no—
1052C23×C4—891no—
1053C23×C4—891no—
1054C23×C4—3562no—
1055C23×C4—3562no—
1056C23×C4—1784no—
1057C23×C4C22×D8911yescharacteristic
1058C23×C4C22×D8911yescharacteristic
1059C23×C4C22×D8911yescharacteristic
1060C23×C4C22×D8911yescharacteristic
1061C4⋊Q8—3562no—
1062C4⋊Q8—1784no—
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—3562no—
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—24no—
1091C4×D4—898no—
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⋊C4—891no—
1116C2×C4⋊C4—891no—
1117C2×C4⋊C4—891no—
1118C2×C4⋊C4—891no—
1119C2×C4⋊C4—891no—
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⋊C4C22×D8911yescharacteristic
1173C2×C22⋊C4C22×D8911yescharacteristic
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×C42—891no—
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#95C22×D8911yescharacteristic
1212#95C22×D8911yescharacteristic
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—3561no—
1228C24—3561no—
1229C24—3561no—
1230C24—3561no—
1231C24—1782no—
1232C24—1782no—
1233C24—1782no—
1234C24C23×D8911yescharacteristic
1235C24C23×D8911yescharacteristic
1236#41—35616no—
1237C2×Q8—22no—
1238C2×Q8—41no—
1239C2×Q8—41no—
1240C2×Q8—3561no—
1241C2×Q8—3561no—
1242C2×Q8—3561no—
1243C2×Q8—3561no—
1244C2×Q8—3561no—
1245C2×Q8—1782no—
1246C2×Q8—1782no—
1247C2×Q8—1782no—
1248C2×Q8—1782no—
1249C2×D4—22no—
1250C2×D4—22no—
1251C2×D4—41no—
1252C2×D4—894no—
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—3561no—
1271C2×D4—3561no—
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—41no—
1287C22×C4—41no—
1288C22×C4—41no—
1289C22×C4—41no—
1290C22×C4—41no—
1291C22×C4—41no—
1292C22×C4—41no—
1293C22×C4—41no—
1294C22×C4—41no—
1295C22×C4—41no—
1296C22×C4—891no—
1297C22×C4—891no—
1298C22×C4—891no—
1299C22×C4—891no—
1300C22×C4—894no—
1301C22×C4—891no—
1302C22×C4—891no—
1303C22×C4—891no—
1304C22×C4—891no—
1305C22×C4—891no—
1306C22×C4—891no—
1307C22×C4—891no—
1308C22×C4—891no—
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—1782no—
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×C4D4×D8914yes—
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—41no—
1349C4⋊C4—41no—
1350C4⋊C4—41no—
1351C4⋊C4—41no—
1352C4⋊C4—894no—
1353C4⋊C4—3561no—
1354C4⋊C4—3561no—
1355C4⋊C4—3561no—
1356C4⋊C4—3561no—
1357C4⋊C4—3561no—
1358C4⋊C4—3561no—
1359C4⋊C4—3561no—
1360C4⋊C4—3561no—
1361C4⋊C4—3561no—
1362C4⋊C4—3561no—
1363C4⋊C4—1782no—
1364C4⋊C4—1782no—
1365C4⋊C4—1782no—
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⋊C4—1782no—
1376C22⋊C4—22no—
1377C22⋊C4—22no—
1378C22⋊C4—22no—
1379C22⋊C4—22no—
1380C22⋊C4—41no—
1381C22⋊C4—41no—
1382C22⋊C4—41no—
1383C22⋊C4—41no—
1384C22⋊C4—894no—
1385C22⋊C4—894no—
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—3561no—
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—894no—
1430C42—3561no—
1431C42—3561no—
1432C42—1782no—
1433C42—1782no—
1434C42—1782no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—892no—
1448C23—892no—
1449C23—3564no—
1450C23—3564no—
1451C23—3564no—
1452C23—3564no—
1453C23—3564no—
1454C23—3564no—
1455C23—3564no—
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—
1482C23C2×D4×D8912yes—
1483C23#1566806012yes—
1484C23C24×D8911yescharacteristic
1485Q8—82no—
1486Q8—3564no—
1487Q8—3564no—
1488Q8—7122no—
1489D4—44no—
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—44no—
1539C2×C4—44no—
1540C2×C4—82no—
1541C2×C4—82no—
1542C2×C4—892no—
1543C2×C4—892no—
1544C2×C4—892no—
1545C2×C4—892no—
1546C2×C4—3564no—
1547C2×C4—3564no—
1548C2×C4—3564no—
1549C2×C4—3564no—
1550C2×C4—3564no—
1551C2×C4—3564no—
1552C2×C4—1788no—
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—1781no—
1582C2×C4—1781no—
1583C2×C4—1781no—
1584C2×C4—1781no—
1585C2×C4C2×D4×D8912yes—
1586C2×C4C2×D4×D8912yes—
1587C22—22no—
1588C22—22no—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—22no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—35616no—
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—3561no—
1622C22—3561no—
1623C22—3561no—
1624C22—1782no—
1625C22—1782no—
1626C22—1782no—
1627C22—1782no—
1628C22—1782no—
1629C22—1782no—
1630C22C22×D4×D8911yescharacteristic
1631C22H(5,𝔽2)×D8911yescharacteristic
1632C22H(5,𝔽2)×D8911yescharacteristic
1633C22C2×#1566806011yescharacteristic
1634C22#1915243411yescharacteristic
1635C22#1915243411yescharacteristic
1636C22#1915243411yescharacteristic
1637C4—22no—
1638C4—22no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—3561no—
1651C4—3561no—
1652C4—3561no—
1653C4—3561no—
1654C4—3561no—
1655C4—3561no—
1656C4—3561no—
1657C4—3561no—
1658C4—1782no—
1659C4—1782no—
1660C4—1782no—
1661C4—1782no—
1662C2—42no—
1663C2—42no—
1664C2—3562no—
1665C2—3562no—
1666C2—7121no—
1667C2—7121no—
1668C2#2603357911yescharacteristic
1669C2#2603388411yescharacteristic
1670C2#2603392811yescharacteristic
1671C2#2603441711yescharacteristic
1672C2#2603445611yescharacteristic
1673C2#2603452111yescharacteristic
1674C2#2603453811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D89
commutator, socle, cosocleC23×C89C25
FittingC89×#2564C2
hypercenter#2564D89
hypocenterC89#36712
LCSG ▷ C23×C89 ▷ C89
UCSC1 ◁ C23 ◁ #2564

Complements

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

NH ≅ G/Ntype
1. C2×#19152218C2semidirect
2. C2×#19152107C2semidirect
3. #26028547C2semidirect
4. #26028538C2semidirect
5. #26026795C2semidirect
6. #26026784C2semidirect
7. #26026741C2semidirect
8. #26026730C2semidirect
9. #26026696C2semidirect
10. #26026655C2semidirect
11. #26026636C2semidirect
12. #26026629C2semidirect
13. #26026561C2semidirect
14. #26026554C2semidirect
15. #26026526C2semidirect
16. #26026526C2semidirect
17. #26026504C2semidirect
18. #26026485C2semidirect
19. #26026472C2semidirect
20. #26026457C2semidirect
21. #26026176C2semidirect
22. #26026101C2semidirect
23. #26025931C2semidirect
24. #26025864C2semidirect
25. #26025827C2semidirect
26. #26025817C2semidirect
27. #26025609C2semidirect
28. #26023881C2semidirect
29. #26023862C2semidirect
30. #26022886C2semidirect
31. C89×#2564C2semidirect
35. C2×#15668010C22semidirect
36. C2×#15668010C22semidirect
38. C2×#15668005C22semidirect
42. C2×#15667998C22semidirect
47. C2×#15667995C22semidirect
52. C2×#15667990C22semidirect
56. C2×#15667986C22semidirect
63. C2×#15667977C22semidirect
67. C2×#15667970C22semidirect
69. #19151540C22semidirect
71. #19151533C22semidirect
72. #19151533C22semidirect
73. #19151532C22semidirect
74. #19151532C22semidirect
75. #19151532C22semidirect
76. #19151531C22semidirect
80. #19151527C22semidirect
81. #19151526C22semidirect
83. #19151522C22semidirect
84. #19151522C22semidirect
86. #19151520C22semidirect
87. #19151519C22semidirect
88. #19151519C22semidirect
89. #19151518C22semidirect
94. #19151516C22semidirect
100. #19151513C22semidirect
101. #19151513C22semidirect
102. #19151513C22semidirect
105. #19151511C22semidirect
106. #19151511C22semidirect
107. #19151511C22semidirect
113. #19151503C22semidirect
118. #19151495C22semidirect
119. #19151493C22semidirect
120. #19151493C22semidirect
123. #19151489C22semidirect
125. #19151488C22semidirect
126. #19151488C22semidirect
131. #19151482C22semidirect
132. #19151481C22semidirect
133. #19151480C22semidirect
134. #19151480C22semidirect
135. #19151480C22semidirect
136. #19151480C22semidirect
141. #19151477C22semidirect
145. #19151476C22semidirect
146. #19151476C22semidirect
151. #19151472C22semidirect
153. #19151471C22semidirect
154. #19151471C22semidirect
160. #19151469C22semidirect
161. #19151469C22semidirect
162. #19151469C22semidirect
163. #19151465C22semidirect
164. #19151462C22semidirect
173. C4×C22⋊Dic89C22semidirect
174. C2×C22⋊Q8×C89C22semidirect
176. #400×C89C22semidirect
178. #395×C89C22semidirect
180. #387×C89C22semidirect
181. #387×C89C22semidirect
186. #380×C89C22semidirect
187. #380×C89C22semidirect
188. C2×#95×C89C22semidirect
247. C4×C22⋊D89D4semidirect
865. #2564D89semidirect
869. C89#36712semidirect
893. C2×C22⋊Q8C2×D89semidirect
910. #400C2×D89semidirect
932. #395C2×D89semidirect
981. #387C2×D89semidirect
982. #387C2×D89semidirect
1020. #380C2×D89semidirect
1021. #380C2×D89semidirect
1026. C2×#95C2×D89semidirect

Maximal subgroups

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

subgroupindex
C2×#191522182
C2×#191521072
#260285472
#260285382
#260267952
#260267842
#260267412
#260267302
#260266962
#260266552
#260266362
#260266292
#260265612
#260265542
#260265262
#260265042
#260264852
#260264722
#260264572
#260261762
#260261012
#260259312
#260258642
#260258272
#260258172
#260256092
#260238812
#260238622
#260228862
C89×#25642
#3671289