Finite Group Databasebeta

← #36763763

Subgroups — #36763763

Order 22784.

2346 conjugacy classes of subgroups.

The subgroup lattice has 1776 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#26028567C211yesmaximal, characteristic, complemented
2#26028112C211yesmaximal, characteristic, complemented
3#26027642C211yesmaximal, characteristic, complemented
4#26027578C211yesmaximal, characteristic, complemented
5#26027525C211yesmaximal, characteristic, complemented
6#26027517C211yesmaximal, characteristic, complemented
7#26027506C211yesmaximal, characteristic, complemented
8#26027470C211yesmaximal, characteristic, complemented
9#26027247C211yesmaximal, characteristic, complemented
10#26027052C211yesmaximal, characteristic, complemented
11#26027045C211yesmaximal, characteristic, complemented
12#26026893C211yesmaximal, characteristic, complemented
13#26026646C211yesmaximal, characteristic, complemented
14#26026641C211yesmaximal, characteristic, complemented
15#26026572C211yesmaximal, characteristic, complemented
16#26026548C211yesmaximal, characteristic, complemented
17#26026473C211yesmaximal, characteristic, complemented
18#26026029C211yesmaximal, characteristic, complemented
19#26025992C211yesmaximal, characteristic, complemented
20#26024512C211yesmaximal, characteristic, complemented
21#26024385C211yesmaximal, characteristic, complemented
22#26023985C211yesmaximal, characteristic, complemented
23#26023915C211yesmaximal, characteristic, complemented
24#26023794C211yesmaximal, characteristic, complemented
25#26023629C211yesmaximal, characteristic, complemented
26#26023623C211yesmaximal, characteristic, complemented
27#26023564C211yesmaximal, characteristic, complemented
28#26022915C211yesmaximal, characteristic, complemented
29#26022826C211yesmaximal, characteristic, complemented
30C2×#19151500C211yesmaximal, characteristic, complemented
31C89×#2850C211yesmaximal, characteristic, complemented
32C23×D356C2211yescharacteristic
33C22×D4×D89C2211yescharacteristic
34C2×#15668006C2211yescharacteristic, complemented
35C2×#15668005C2211yescharacteristic, complemented
36C2×#15668001C2211yescharacteristic, complemented
37C2×#15667996C2211yescharacteristic, complemented
38C2×#15667988C2211yescharacteristic, complemented
39C2×#15667985C2211yescharacteristic, complemented
40C2×#15667985C2211yescharacteristic, complemented
41C2×#15667984C2211yescharacteristic
42C2×#15667984C2211yescharacteristic, complemented
43C2×#15667982C2211yescharacteristic
44C2×#15667982C2211yescharacteristic
45C2×#15667982C2211yescharacteristic
46C2×#15667980C2211yescharacteristic
47C2×#15667980C2211yescharacteristic
48C2×#15667980C2211yescharacteristic, complemented
49C2×#15667980C2211yescharacteristic, complemented
50C2×D4×Dic89C2211yescharacteristic, complemented
51C22×C4⋊Dic89C2211yescharacteristic, complemented
52C22×#13083551C2211yescharacteristic
53C22×#13083551C2211yescharacteristic
54C22×#13083551C2211yescharacteristic, complemented
55C22×#13083551C2211yescharacteristic, complemented
56C2×C22⋊C4×D89C2211yescharacteristic
57#19151540C2211yescharacteristic, complemented
58#19151538C2211yescharacteristic, complemented
59#19151535C2211yescharacteristic, complemented
60#19151533C2211yescharacteristic, complemented
61#19151530C2211yescharacteristic, complemented
62#19151527C2211yescharacteristic, complemented
63#19151527C2211yescharacteristic, complemented
64#19151527C2211yescharacteristic, complemented
65#19151527C2211yescharacteristic, complemented
66#19151525C2211yescharacteristic, complemented
67#19151525C2211yescharacteristic, complemented
68#19151524C2211yescharacteristic, complemented
69#19151523C2211yescharacteristic, complemented
70#19151523C2211yescharacteristic, complemented
71#19151521C2211yescharacteristic, complemented
72#19151520C2211yescharacteristic, complemented
73#19151520C2211yescharacteristic, complemented
74#19151520C2211yescharacteristic, complemented
75#19151516C2211yescharacteristic
76#19151516C2211yescharacteristic
77#19151516C2211yescharacteristic, complemented
78#19151516C2211yescharacteristic, complemented
79#19151515C2211yescharacteristic, complemented
80#19151515C2211yescharacteristic, complemented
81#19151515C2211yescharacteristic, complemented
82#19151514C2211yescharacteristic, complemented
83#19151514C2211yescharacteristic, complemented
84#19151514C2211yescharacteristic, complemented
85#19151514C2211yescharacteristic, complemented
86#19151513C2211yescharacteristic, complemented
87#19151513C2211yescharacteristic, complemented
88#19151513C2211yescharacteristic, complemented
89#19151513C2211yescharacteristic, complemented
90#19151513C2211yescharacteristic, complemented
91#19151513C2211yescharacteristic, complemented
92#19151509C2211yescharacteristic, complemented
93#19151509C2211yescharacteristic, complemented
94#19151508C2211yescharacteristic
95#19151508C2211yescharacteristic
96#19151507C2211yescharacteristic
97#19151507C2211yescharacteristic
98#19151507C2211yescharacteristic
99#19151507C2211yescharacteristic
100#19151507C2211yescharacteristic, complemented
101#19151507C2211yescharacteristic, complemented
102#19151507C2211yescharacteristic, complemented
103#19151506C2211yescharacteristic, complemented
104#19151506C2211yescharacteristic, complemented
105#19151500C2211yescharacteristic
106#19151500C2211yescharacteristic
107#19151500C2211yescharacteristic
108#19151500C2211yescharacteristic
109#19151500C2211yescharacteristic, complemented
110#19151500C2211yescharacteristic, complemented
111#19151500C2211yescharacteristic, complemented
112#19151500C2211yescharacteristic, complemented
113#19151499C2211yescharacteristic, complemented
114#19151498C2211yescharacteristic, complemented
115#19151498C2211yescharacteristic, complemented
116#19151498C2211yescharacteristic, complemented
117#19151491C2211yescharacteristic, complemented
118#19151490C2211yescharacteristic, complemented
119#19151490C2211yescharacteristic, complemented
120#19151490C2211yescharacteristic, complemented
121#19151489C2211yescharacteristic, complemented
122#19151489C2211yescharacteristic, complemented
123#19151489C2211yescharacteristic, complemented
124#19151488C2211yescharacteristic, complemented
125#19151488C2211yescharacteristic, complemented
126#19151488C2211yescharacteristic, complemented
127#19151487C2211yescharacteristic, complemented
128#19151487C2211yescharacteristic, complemented
129#19151485C2211yescharacteristic, complemented
130#19151483C2211yescharacteristic, complemented
131#19151483C2211yescharacteristic, complemented
132#19151482C2211yescharacteristic, complemented
133#19151482C2211yescharacteristic, complemented
134#19151482C2211yescharacteristic, complemented
135#19151478C2211yescharacteristic
136#19151478C2211yescharacteristic
137#19151477C2211yescharacteristic
138#19151477C2211yescharacteristic
139#19151477C2211yescharacteristic
140#19151476C2211yescharacteristic
141#19151476C2211yescharacteristic
142#19151476C2211yescharacteristic, complemented
143#19151476C2211yescharacteristic, complemented
144#19151476C2211yescharacteristic, complemented
145#19151476C2211yescharacteristic, complemented
146#19151475C2211yescharacteristic
147#19151475C2211yescharacteristic, complemented
148#19151475C2211yescharacteristic, complemented
149#19151475C2211yescharacteristic, complemented
150#19151474C2211yescharacteristic, complemented
151#19151474C2211yescharacteristic, complemented
152#19151474C2211yescharacteristic, complemented
153#19151473C2211yescharacteristic, complemented
154#19151473C2211yescharacteristic, complemented
155#19151471C2211yescharacteristic, complemented
156#19151471C2211yescharacteristic, complemented
157#19151471C2211yescharacteristic, complemented
158#19151469C2211yescharacteristic, complemented
159#19151469C2211yescharacteristic, complemented
160#19151469C2211yescharacteristic, complemented
161#19151466C2211yescharacteristic, complemented
162#19151460C2211yescharacteristic, complemented
163#19151460C2211yescharacteristic, complemented
164#19151456C2211yescharacteristic, complemented
165#19151455C2211yescharacteristic, complemented
166#19151453C2211yescharacteristic
167#19151453C2211yescharacteristic, complemented
168#19151453C2211yescharacteristic, complemented
169#19151453C2211yescharacteristic, complemented
170#19151453C2211yescharacteristic, complemented
171C22⋊C4×Dic89C2211yescharacteristic, complemented
172C2×#124×C89C2211yescharacteristic, complemented
173C2×C22⋊Q8×C89C2211yescharacteristic, complemented
174C2×#121×C89C2211yescharacteristic
175C22×C42×C89C2211yescharacteristic, complemented
176#391×C89C2211yescharacteristic, complemented
177#390×C89C2211yescharacteristic, complemented
178#388×C89C2211yescharacteristic, complemented
179#388×C89C2211yescharacteristic, complemented
180#388×C89C2211yescharacteristic, complemented
181#388×C89C2211yescharacteristic, complemented
182#386×C89C2211yescharacteristic
183#386×C89C2211yescharacteristic
184#386×C89C2211yescharacteristic, complemented
185#386×C89C2211yescharacteristic, complemented
186#382×C89C2211yescharacteristic, complemented
187C24×D89C2311yescharacteristic
188C24×D89C2311yescharacteristic
189C24×D89C2311yescharacteristic
190C22×D356—24no—
191C22×D356—42no—
192C22×D356—42no—
193C22×D356C2311yescharacteristic
194C22×D356C2311yescharacteristic
195C22×D356C2311yescharacteristic
196C22×D356C2311yescharacteristic
197C22×D356C2311yescharacteristic
198C22×D356C2311yescharacteristic
199C22×D356C2311yescharacteristic
200C22×C22⋊D89C2311yescharacteristic
201C22×C22⋊D89C2311yescharacteristic
202C22×C22⋊D89C2311yescharacteristic
203C22×C22⋊D89C2311yescharacteristic
204C22×C22⋊D89C2311yescharacteristic
205C22×C22⋊D89C2311yescharacteristic
206C22×C22⋊D89C2311yescharacteristic
207C22×C22⋊D89C2311yescharacteristic
208C22×C22⋊D89C2311yescharacteristic
209C2×D4×D89—24no—
210C2×D4×D89—42no—
211C2×D4×D89—42no—
212C23×Dic89C2311yescharacteristic
213C23×Dic89C2311yescharacteristic
214C23×Dic89C2311yescharacteristic
215C22×C4×D89C2311yescharacteristic
216C22×C4×D89C2311yescharacteristic
217C22×C4×D89C2311yescharacteristic
218#15668006—42no—
219#15668005—42no—
220#15668001—42no—
221#15667996—42no—
222#15667988—42no—
223#15667985—42no—
224#15667985—42no—
225#15667984—42no—
226#15667984—42no—
227#15667982—42no—
228#15667982—42no—
229#15667982—42no—
230#15667980—24no—
231#15667980—42no—
232#15667980—42no—
233#15667980—42no—
234D4×Dic89—42no—
235C2×C4⋊Dic89—42no—
236C2×C4⋊Dic89C2311yescharacteristic
237C2×C4⋊Dic89C2311yescharacteristic
238C2×C4⋊Dic89C2311yescharacteristic
239C2×C4⋊Dic89C2311yescharacteristic
240C2×C4⋊Dic89C2311yescharacteristic
241C2×C4⋊Dic89C2311yescharacteristic
242C2×C4⋊Dic89C2311yescharacteristic
243C2×#13083553C2311yescharacteristic
244C2×#13083553C2311yescharacteristic
245C2×#13083553C2311yescharacteristic
246C2×#13083553C2311yescharacteristic
247C2×#13083553C2311yescharacteristic
248C2×#13083553C2311yescharacteristic
249C2×#13083553C2311yescharacteristic
250C2×#13083553C2311yescharacteristic
251C2×#13083553C2311yescharacteristic
252C2×C22⋊Dic89C2311yescharacteristic
253C2×C22⋊Dic89C2311yescharacteristic
254C2×C22⋊Dic89C2311yescharacteristic
255C2×C22⋊Dic89C2311yescharacteristic
256C2×C22⋊Dic89C2311yescharacteristic
257C2×C22⋊Dic89C2311yescharacteristic
258C2×C22⋊Dic89C2311yescharacteristic
259C2×C22⋊Dic89C2311yescharacteristic
260C2×C22⋊Dic89C2311yescharacteristic
261C2×#13083551—42no—
262C2×#13083551—42no—
263C2×#13083551—42no—
264C2×#13083551—42no—
265C2×#13083551C2311yescharacteristic
266C2×#13083551C2311yescharacteristic
267C2×#13083551C2311yescharacteristic
268C2×#13083551C2311yescharacteristic
269C2×#13083551C2311yescharacteristic
270C2×#13083551C2311yescharacteristic
271C2×#13083551C2311yescharacteristic
272C2×#13083551C2311yescharacteristic
273C2×#13083551C2311yescharacteristic
274C2×#13083551C2311yescharacteristic
275C2×#13083551C2311yescharacteristic
276C2×#13083551C2311yescharacteristic
277C2×#13083551C2311yescharacteristic
278C2×#13083551C2311yescharacteristic
279C2×#13083551C2311yescharacteristic
280C2×#13083551C2311yescharacteristic
281C2×#13083551C2311yescharacteristic
282C2×#13083551C2311yescharacteristic
283C2×#13083551C2311yescharacteristic
284C2×#13083551C2311yescharacteristic
285C2×#13083551C2311yescharacteristic
286C2×#13083551C2311yescharacteristic
287C2×#13083551C2311yescharacteristic
288C2×#13083551C2311yescharacteristic
289C2×#13083551C2311yescharacteristic
290C2×#13083551C2311yescharacteristic
291C2×#13083551C2311yescharacteristic
292C2×#13083551C2311yescharacteristic
293C2×#13083551C2311yescharacteristic
294C2×#13083551C2311yescharacteristic
295C2×#13083551C2311yescharacteristic
296C2×#13083551C2311yescharacteristic
297C2×#13083551C2311yescharacteristic
298C2×#13083551C2311yescharacteristic
299C2×#13083551C2311yescharacteristic
300C2×#13083551C2311yescharacteristic
301C2×#13083551C2311yescharacteristic
302C2×#13083551C2311yescharacteristic
303C2×#13083551C2311yescharacteristic
304C2×#13083551C2311yescharacteristic
305C2×#13083551C2311yescharacteristic
306C2×#13083551C2311yescharacteristic
307C2×#13083551C2311yescharacteristic
308C22⋊C4×D89—42no—
309C2×C4×Dic89C2311yescharacteristic
310C2×C4×Dic89C2311yescharacteristic
311C2×C4×Dic89C2311yescharacteristic
312#15667919C2311yescharacteristic
313#15667919C2311yescharacteristic
314#15667919C2311yescharacteristic
315#15667919C2311yescharacteristic
316#15667919C2311yescharacteristic
317#15667919C2311yescharacteristic
318#15667919C2311yescharacteristic
319#15667919C2311yescharacteristic
320#15667919C2311yescharacteristic
321#15667919C2311yescharacteristic
322#15667919C2311yescharacteristic
323#15667919C2311yescharacteristic
324#15667919C2311yescharacteristic
325#15667919C2311yescharacteristic
326#15667919C2311yescharacteristic
327#15667919C2311yescharacteristic
328#15667919C2311yescharacteristic
329#15667919C2311yescharacteristic
330#15667919C2311yescharacteristic
331#15667919C2311yescharacteristic
332#15667919C2311yescharacteristic
333#15667919C2311yescharacteristic
334#15667919C2311yescharacteristic
335#15667919C2311yescharacteristic
336C22×Q8×C89C2311yescharacteristic
337C22×D4×C89C2311yescharacteristic
338C22×D4×C89C2311yescharacteristic
339C22×D4×C89C2311yescharacteristic
340C23×C4×C89C2311yescharacteristic
341C23×C4×C89C2311yescharacteristic
342C23×C4×C89C2311yescharacteristic
343#124×C89—42no—
344C22⋊Q8×C89—42no—
345#121×C89—42no—
346C2×C4⋊C4×C89C2311yescharacteristic
347C2×C4⋊C4×C89C2311yescharacteristic
348C2×C4⋊C4×C89C2311yescharacteristic
349C2×C4⋊C4×C89C2311yescharacteristic
350C2×C22⋊C4×C89C2311yescharacteristic
351C2×C22⋊C4×C89C2311yescharacteristic
352C2×C22⋊C4×C89C2311yescharacteristic
353C2×C22⋊C4×C89C2311yescharacteristic
354C2×C22⋊C4×C89C2311yescharacteristic
355C2×C22⋊C4×C89C2311yescharacteristic
356C2×C22⋊C4×C89C2311yescharacteristic
357C2×C22⋊C4×C89C2311yescharacteristic
358C2×C22⋊C4×C89C2311yescharacteristic
359C2×C22⋊C4×C89C2311yescharacteristic
360C2×C22⋊C4×C89C2311yescharacteristic
361C2×C22⋊C4×C89C2311yescharacteristic
362C2×C42×C89—42no—
363C2×C42×C89C2311yescharacteristic
364C2×C42×C89C2311yescharacteristic
365C2×C42×C89C2311yescharacteristic
366C2×C42×C89C2311yescharacteristic
367#95×C89C2311yescharacteristic
368#95×C89C2311yescharacteristic
369#95×C89C2311yescharacteristic
370#95×C89C2311yescharacteristic
371#95×C89C2311yescharacteristic
372#95×C89C2311yescharacteristic
373#95×C89C2311yescharacteristic
374#95×C89C2311yescharacteristic
375C23×D89—22no—
376C23×D89—22no—
377C23×D89—22no—
378C23×D89—22no—
379C23×D89—22no—
380C23×D89—22no—
381C23×D89—41no—
382C23×D89—41no—
383C23×D89—41no—
384C23×D89—41no—
385C23×D89—41no—
386C23×D89—41no—
387C23×D89—41no—
388C23×D89—41no—
389C23×D89—41no—
390C23×D89—41no—
391C23×D89—41no—
392C23×D89—41no—
393C23×D89—41no—
394C23×D89—41no—
395C23×D89#4114yes—
396C23×D89C2411yescharacteristic
397C23×D89C2411yescharacteristic
398C23×D89C2411yescharacteristic
399C23×D89C2411yescharacteristic
400C23×D89C2411yescharacteristic
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—41no—
411C2×D356—41no—
412C2×D356—41no—
413C2×D356—41no—
414C2×D356—41no—
415C2×D356—41no—
416C2×D356—416no—
417C2×D356—41no—
418C2×D356—41no—
419C2×D356—41no—
420C2×D356—41no—
421C2×D356—41no—
422C2×D356—41no—
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⋊D89—41no—
439C2×C22⋊D89—41no—
440C2×C22⋊D89—41no—
441C2×C22⋊D89—41no—
442C2×C22⋊D89—41no—
443C2×C22⋊D89—41no—
444C2×C22⋊D89—41no—
445C2×C22⋊D89—41no—
446C2×C22⋊D89—41no—
447C2×C22⋊D89—41no—
448C2×C22⋊D89—41no—
449C2×C22⋊D89—41no—
450D4×D89—416no—
451C22×Dic89—22no—
452C22×Dic89—22no—
453C22×Dic89—41no—
454C22×Dic89—41no—
455C22×Dic89—41no—
456C22×Dic89—41no—
457C22×Dic89—41no—
458C22×Dic89—41no—
459C22×Dic89—41no—
460C22×Dic89C2411yescharacteristic
461C22×Dic89C2411yescharacteristic
462C22×Dic89C2411yescharacteristic
463C22×Dic89C2411yescharacteristic
464C22×Dic89C2411yescharacteristic
465C22×Dic89C2411yescharacteristic
466C22×Dic89C2411yescharacteristic
467C22×Dic89C2411yescharacteristic
468C22×Dic89C2411yescharacteristic
469C22×Dic89C2411yescharacteristic
470C22×Dic89C2411yescharacteristic
471C2×C4×D89—22no—
472C2×C4×D89—41no—
473C2×C4×D89—41no—
474C2×C4×D89—41no—
475C2×C4×D89—41no—
476C2×C4×D89—41no—
477C2×C4×D89—41no—
478C2×C4×D89—41no—
479C2×C4×D89—41no—
480C4⋊Dic89—22no—
481C4⋊Dic89—22no—
482C4⋊Dic89—41no—
483C4⋊Dic89—41no—
484C4⋊Dic89—41no—
485C4⋊Dic89—41no—
486C4⋊Dic89—41no—
487#13083553—22no—
488#13083553—22no—
489#13083553—22no—
490#13083553—41no—
491#13083553—41no—
492#13083553—41no—
493#13083553—41no—
494#13083553—41no—
495#13083553—41no—
496C22⋊Dic89—22no—
497C22⋊Dic89—22no—
498C22⋊Dic89—22no—
499C22⋊Dic89—41no—
500C22⋊Dic89—41no—
501C22⋊Dic89—41no—
502C22⋊Dic89—41no—
503C22⋊Dic89—41no—
504C22⋊Dic89—41no—
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—41no—
515#13083551—41no—
516#13083551—41no—
517#13083551—41no—
518#13083551—41no—
519#13083551—41no—
520#13083551—41no—
521#13083551—41no—
522#13083551—41no—
523#13083551—41no—
524#13083551—41no—
525#13083551—41no—
526#13083551—41no—
527#13083551—41no—
528#13083551—41no—
529#13083551—41no—
530#13083551—41no—
531#13083551—41no—
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#13083551—41no—
543#13083551—41no—
544#13083551—41no—
545#13083551—41no—
546#13083551—41no—
547#13083551—41no—
548C4×Dic89—41no—
549C4×Dic89—41no—
550C4×Dic89—41no—
551C24×C89C2411yescharacteristic
552C24×C89C2411yescharacteristic
553C24×C89C2411yescharacteristic
554C2×Q8×C89—22no—
555C2×Q8×C89—41no—
556C2×Q8×C89—41no—
557C2×D4×C89—22no—
558C2×D4×C89—22no—
559C2×D4×C89—22no—
560C2×D4×C89—22no—
561C2×D4×C89—22no—
562C2×D4×C89—22no—
563C2×D4×C89—22no—
564C2×D4×C89—41no—
565C2×D4×C89—41no—
566C22×C4×C89—22no—
567C22×C4×C89—22no—
568C22×C4×C89—22no—
569C22×C4×C89—22no—
570C22×C4×C89—22no—
571C22×C4×C89—22no—
572C22×C4×C89—41no—
573C22×C4×C89—41no—
574C22×C4×C89—41no—
575C22×C4×C89C2411yescharacteristic
576C22×C4×C89C2411yescharacteristic
577C22×C4×C89C2411yescharacteristic
578C22×C4×C89C2411yescharacteristic
579C22×C4×C89C2411yescharacteristic
580C22×C4×C89C2411yescharacteristic
581C22×C4×C89C2411yescharacteristic
582C22×C4×C89C2411yescharacteristic
583C22×C4×C89C2411yescharacteristic
584C22×C4×C89C2411yescharacteristic
585C22×C4×C89C2411yescharacteristic
586C22×C4×C89C2411yescharacteristic
587C4⋊C4×C89—41no—
588C4⋊C4×C89—41no—
589C4⋊C4×C89—41no—
590C4⋊C4×C89—41no—
591C22⋊C4×C89—22no—
592C22⋊C4×C89—22no—
593C22⋊C4×C89—22no—
594C22⋊C4×C89—22no—
595C22⋊C4×C89—22no—
596C22⋊C4×C89—22no—
597C22⋊C4×C89—41no—
598C22⋊C4×C89—41no—
599C22⋊C4×C89—41no—
600C22⋊C4×C89—41no—
601C22⋊C4×C89—41no—
602C22⋊C4×C89—41no—
603C42×C89—22no—
604C42×C89—22no—
605C42×C89—41no—
606C42×C89—41no—
607C23×C89—21no—
608C23×C89—21no—
609C23×C89—21no—
610C23×C89—21no—
611C23×C89—21no—
612C23×C89—21no—
613C23×C89—21no—
614C23×C89—21no—
615C23×C89—21no—
616C23×C89—21no—
617C23×C89—21no—
618C23×C89—21no—
619C23×C89—21no—
620C23×C89—21no—
621C23×C89—21no—
622C23×C89—21no—
623C23×C89—21no—
624C23×C89—21no—
625C23×C89C2×#4112yes—
626C23×C89H(5,𝔽2)12yes—
627C23×C89H(5,𝔽2)12yes—
628C23×C89C2511yescharacteristic
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—21no—
639C22×D89—21no—
640C22×D89—21no—
641C22×D89—28no—
642C22×D89—21no—
643C22×D89—21no—
644C22×D89—21no—
645C22×D89—21no—
646C22×D89—21no—
647C22×D89—21no—
648C22×D89—21no—
649C22×D89—21no—
650C22×D89—21no—
651C22×D89—21no—
652C22×D89—21no—
653C22×D89—21no—
654C22×D89—21no—
655C22×D89—21no—
656C22×D89—21no—
657C22×D89—21no—
658C22×D89—21no—
659C22×D89—21no—
660C22×D89—21no—
661C22×D89—21no—
662C22×D89—21no—
663C22×D89—44no—
664C22×D89—44no—
665C22×D89—44no—
666C22×D89—44no—
667C22×D89—44no—
668C22×D89—44no—
669C22×D89—82no—
670C22×D89—82no—
671C22×D89—82no—
672C22×D89—82no—
673C22×D89—82no—
674C22×D89—82no—
675C22×D89—82no—
676C22×D89—82no—
677C22×D89—82no—
678C22×D89—82no—
679C22×D89—82no—
680C22×D89—82no—
681C22×D89—82no—
682C22×D89—82no—
683C22×D89C2×#4112yes—
684C22×D89C2×#4112yes—
685Q8×C89—82no—
686D4×C89—44no—
687D4×C89—44no—
688D4×C89—82no—
689C2×C4×C89—28no—
690C2×C4×C89—21no—
691C2×C4×C89—21no—
692C2×C4×C89—21no—
693C2×C4×C89—21no—
694C2×C4×C89—21no—
695C2×C4×C89—21no—
696C2×C4×C89—21no—
697C2×C4×C89—21no—
698C2×C4×C89—21no—
699C2×C4×C89—21no—
700C2×C4×C89—21no—
701C2×C4×C89—21no—
702C2×C4×C89—21no—
703C2×C4×C89—21no—
704C2×C4×C89—21no—
705C2×C4×C89—21no—
706C2×C4×C89—21no—
707C2×C4×C89—21no—
708C2×C4×C89—21no—
709C2×C4×C89—21no—
710C2×C4×C89—21no—
711C2×C4×C89—21no—
712C2×C4×C89—21no—
713C2×C4×C89—21no—
714C2×C4×C89—21no—
715C2×C4×C89—21no—
716C2×C4×C89—21no—
717C2×C4×C89—21no—
718C2×C4×C89—21no—
719C2×C4×C89—21no—
720C2×C4×C89—21no—
721C2×C4×C89—21no—
722C2×C4×C89—21no—
723C2×C4×C89—44no—
724C2×C4×C89—44no—
725C2×C4×C89H(5,𝔽2)12yes—
726C2×C4×C89H(5,𝔽2)12yes—
727C2×C4×C89H(5,𝔽2)12yes—
728C22⋊D89—44no—
729C22⋊D89—44no—
730C22⋊D89—82no—
731C22⋊D89—82no—
732C22⋊D89—82no—
733C22⋊D89—82no—
734C22⋊D89—82no—
735C22⋊D89—82no—
736C22⋊D89—82no—
737C2×Dic89—21no—
738C2×Dic89—21no—
739C2×Dic89—21no—
740C2×Dic89—21no—
741C2×Dic89—21no—
742C2×Dic89—21no—
743C2×Dic89—21no—
744C2×Dic89—21no—
745C2×Dic89—21no—
746C2×Dic89—21no—
747C2×Dic89—21no—
748C2×Dic89—21no—
749C2×Dic89—21no—
750C2×Dic89—21no—
751C2×Dic89—21no—
752C2×Dic89—21no—
753C2×Dic89—21no—
754C2×Dic89—21no—
755C2×Dic89—21no—
756C2×Dic89—21no—
757C2×Dic89—21no—
758C2×Dic89—21no—
759C2×Dic89—21no—
760C2×Dic89—21no—
761C2×Dic89—21no—
762C2×Dic89—21no—
763C2×Dic89—21no—
764C2×Dic89—21no—
765C2×Dic89—21no—
766C2×Dic89—21no—
767C2×Dic89—21no—
768C2×Dic89—21no—
769C2×Dic89—21no—
770C2×Dic89—82no—
771C2×Dic89—82no—
772C2×Dic89—82no—
773D356—44no—
774D356—44no—
775D356—44no—
776D356—44no—
777D356—44no—
778D356—82no—
779D356—82no—
780C4×D89—44no—
781C4×D89—82no—
782C4×D89—82no—
783C22×C89—22no—
784C22×C89—22no—
785C22×C89—22no—
786C22×C89—22no—
787C22×C89—22no—
788C22×C89—22no—
789C22×C89—41no—
790C22×C89—41no—
791C22×C89—41no—
792C22×C89—41no—
793C22×C89—41no—
794C22×C89—41no—
795C22×C89—41no—
796C22×C89—41no—
797C22×C89—41no—
798C22×C89—41no—
799C22×C89—41no—
800C22×C89—41no—
801C22×C89—41no—
802C22×C89—41no—
803C22×C89#53814yes—
804C22×C89C22×#4111yescharacteristic
805C22×C89C2×H(5,𝔽2)11yescharacteristic
806C22×C89C2×H(5,𝔽2)11yescharacteristic
807C22×C89C2×H(5,𝔽2)11yescharacteristic
808C22×C89C2×H(5,𝔽2)11yescharacteristic
809C22×C89C2×H(5,𝔽2)11yescharacteristic
810C22×C89#58511yescharacteristic
811C2×D89—22no—
812C2×D89—22no—
813C2×D89—22no—
814C2×D89—22no—
815C2×D89—22no—
816C2×D89—22no—
817C2×D89—41no—
818C2×D89—41no—
819C2×D89—41no—
820C2×D89—41no—
821C2×D89—41no—
822C2×D89—41no—
823C2×D89—41no—
824C2×D89—41no—
825C2×D89—41no—
826C2×D89—41no—
827C2×D89—41no—
828C2×D89—41no—
829C2×D89—41no—
830C2×D89—41no—
831C2×D89—41no—
832C2×D89—41no—
833C2×D89—41no—
834C2×D89—41no—
835C2×D89—41no—
836C2×D89—41no—
837C2×D89—41no—
838C2×D89—41no—
839C2×D89—41no—
840C2×D89—41no—
841C2×D89—41no—
842C2×D89—41no—
843C2×D89—41no—
844C2×D89—41no—
845C2×D89—41no—
846C2×D89—88no—
847C2×D89—88no—
848C2×D89—88no—
849C4×C89—22no—
850C4×C89—22no—
851C4×C89—22no—
852C4×C89—41no—
853C4×C89—41no—
854C4×C89—41no—
855C4×C89—41no—
856C4×C89—41no—
857C4×C89—41no—
858C4×C89—41no—
859C4×C89—41no—
860C4×C89—41no—
861Dic89—41no—
862Dic89—41no—
863Dic89—41no—
864Dic89—41no—
865Dic89—41no—
866Dic89—41no—
867Dic89—41no—
868Dic89—41no—
869Dic89—41no—
870Dic89—41no—
871Dic89—41no—
872#36808—891nomaximal, Sylow
873C2×C89—24no—
874C2×C89—81no—
875C2×C89—81no—
876C2×C89C2×#53811yescharacteristic
877C2×C89#349011yescharacteristic
878C2×C89#350511yescharacteristic
879C2×C89#353711yescharacteristic
880C2×C89#354211yescharacteristic
881C2×C89#354311yescharacteristic
882C2×C89#355811yescharacteristic
883D89—42no—
884D89—42no—
885D89—81no—
886D89—81no—
887D89—81no—
888#2852—891no—
889#2850D8911yescharacteristic, complemented
890#2797—891no—
891#2761—891no—
892#2756—891no—
893#2753—891no—
894#2752—891no—
895#2751—891no—
896#2749—891no—
897#2730—891no—
898#2714—891no—
899#2714—891no—
900#2703—891no—
901#2685—891no—
902#2685—891no—
903#2678—891no—
904#2676—891no—
905#2670—891no—
906#2622—891no—
907#2617—891no—
908#2481—891no—
909#2472—891no—
910#2443—891no—
911#2437—891no—
912#2424—891no—
913#2410—891no—
914#2410—891no—
915#2403—891no—
916#2321—891no—
917#2308—891no—
918C2×#390—891no—
919C89#3680811yescharacteristic, complemented, Sylow
920C23×D4—891no—
921C23×D4—891no—
922C2×#126—891no—
923C2×#126—891no—
924C2×#124—891no—
925C2×#124C2×D8911yescharacteristic, complemented
926C2×#123—891no—
927C2×C22⋊Q8—891no—
928C2×C22⋊Q8C2×D8911yescharacteristic, complemented
929C2×#121—891no—
930C2×#121—891no—
931C2×#121—891no—
932C2×#121—891no—
933C2×#121C2×D8911yescharacteristic
934C2×#120—891no—
935C2×#120—891no—
936C2×#120—891no—
937C2×#120—891no—
938C2×#120—891no—
939C2×#120—891no—
940C2×#120—891no—
941C2×C4×D4—891no—
942C22×C4⋊C4—891no—
943C22×C22⋊C4—891no—
944C22×C22⋊C4—891no—
945C22×C22⋊C4—891no—
946C22×C22⋊C4—891no—
947C22×C22⋊C4—891no—
948C22×C42C2×D8911yescharacteristic, complemented
949#400—891no—
950#400—891no—
951#399—891no—
952#399—891no—
953#398—891no—
954#397—891no—
955#397—891no—
956#397—891no—
957#397—891no—
958#397—891no—
959#397—891no—
960#397—891no—
961#397—891no—
962#397—891no—
963#396—891no—
964#396—891no—
965#396—891no—
966#396—891no—
967#394—891no—
968#394—891no—
969#394—891no—
970#394—891no—
971#394—891no—
972#394—891no—
973#394—891no—
974#394—891no—
975#394—891no—
976#394—891no—
977#394—891no—
978#394—891no—
979#394—891no—
980#394—891no—
981#394—891no—
982#394—891no—
983#394—891no—
984#393—891no—
985#393—891no—
986#392—891no—
987#392—891no—
988#392—891no—
989#392—891no—
990#392—891no—
991#392—891no—
992#392—891no—
993#392—891no—
994#392—891no—
995#392—891no—
996#392—891no—
997#391C2×D8911yescharacteristic, complemented
998#390—891no—
999#390—891no—
1000#390—891no—
1001#390—891no—
1002#390—891no—
1003#390—891no—
1004#390—891no—
1005#390—891no—
1006#390—891no—
1007#390—891no—
1008#390—891no—
1009#390—891no—
1010#390C2×D8911yescharacteristic, complemented
1011#388—891no—
1012#388—891no—
1013#388—891no—
1014#388—891no—
1015#388—891no—
1016#388—891no—
1017#388—891no—
1018#388—891no—
1019#388—891no—
1020#388—891no—
1021#388—891no—
1022#388—891no—
1023#388C2×D8911yescharacteristic, complemented
1024#388C2×D8911yescharacteristic, complemented
1025#388C2×D8911yescharacteristic, complemented
1026#388C2×D8911yescharacteristic, complemented
1027#387—891no—
1028#387—891no—
1029#387—891no—
1030#387—891no—
1031#387—891no—
1032#387—891no—
1033#386—891no—
1034#386—891no—
1035#386—891no—
1036#386—891no—
1037#386—891no—
1038#386—891no—
1039#386—891no—
1040#386—891no—
1041#386—891no—
1042#386—891no—
1043#386—891no—
1044#386—891no—
1045#386—891no—
1046#386—891no—
1047#386—891no—
1048#386—891no—
1049#386—891no—
1050#386—891no—
1051#386C2×D8911yescharacteristic
1052#386C2×D8911yescharacteristic
1053#386C2×D8911yescharacteristic, complemented
1054#386C2×D8911yescharacteristic, complemented
1055#385—891no—
1056#385—891no—
1057#385—891no—
1058#385—891no—
1059#385—891no—
1060#385—891no—
1061#385—891no—
1062#385—891no—
1063#383—891no—
1064#382C2×D8911yescharacteristic, complemented
1065#381—891no—
1066#381—891no—
1067#380—891no—
1068#380—891no—
1069#379—891no—
1070#379—891no—
1071#379—891no—
1072#379—891no—
1073#379—891no—
1074C4×C22⋊C4—891no—
1075C25—891no—
1076C25—891no—
1077C25—891no—
1078C22×Q8C22×D8911yescharacteristic
1079C22×D4—891no—
1080C22×D4—891no—
1081C22×D4—891no—
1082C22×D4—891no—
1083C22×D4—891no—
1084C22×D4—891no—
1085C22×D4—891no—
1086C22×D4—891no—
1087C22×D4—891no—
1088C22×D4—891no—
1089C22×D4—891no—
1090C22×D4—891no—
1091C22×D4—891no—
1092C22×D4—891no—
1093C22×D4—891no—
1094C22×D4—891no—
1095C22×D4—3562no—
1096C22×D4—3562no—
1097C22×D4—3562no—
1098C22×D4—3562no—
1099C22×D4—1784no—
1100C22×D4—1784no—
1101C22×D4C22×D8911yescharacteristic
1102C22×D4C22×D8911yescharacteristic
1103C22×D4C22×D8911yescharacteristic
1104C23×C4—891no—
1105C23×C4—891no—
1106C23×C4—891no—
1107C23×C4—891no—
1108C23×C4—891no—
1109C23×C4—891no—
1110C23×C4C22×D8911yescharacteristic
1111C23×C4C22×D8911yescharacteristic
1112C23×C4C22×D8911yescharacteristic
1113#126—3562no—
1114#126—3562no—
1115#124—42no—
1116#124—3562no—
1117#123—3562no—
1118C22⋊Q8—42no—
1119C22⋊Q8—3562no—
1120#121—42no—
1121#121—3562no—
1122#121—3562no—
1123#121—3562no—
1124#121—3562no—
1125#120—3562no—
1126#120—3562no—
1127#120—3562no—
1128#120—3562no—
1129#120—3562no—
1130#120—3562no—
1131#120—1784no—
1132C4×D4—3562no—
1133C2×C4⋊C4—891no—
1134C2×C4⋊C4—891no—
1135C2×C4⋊C4—891no—
1136C2×C4⋊C4—891no—
1137C2×C4⋊C4—891no—
1138C2×C4⋊C4—891no—
1139C2×C4⋊C4—891no—
1140C2×C4⋊C4—891no—
1141C2×C4⋊C4—891no—
1142C2×C4⋊C4—891no—
1143C2×C4⋊C4—891no—
1144C2×C4⋊C4—891no—
1145C2×C4⋊C4—891no—
1146C2×C4⋊C4—891no—
1147C2×C4⋊C4—891no—
1148C2×C4⋊C4—891no—
1149C2×C4⋊C4—3562no—
1150C2×C4⋊C4C22×D8911yescharacteristic
1151C2×C4⋊C4C22×D8911yescharacteristic
1152C2×C4⋊C4C22×D8911yescharacteristic
1153C2×C4⋊C4C22×D8911yescharacteristic
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⋊C4—891no—
1175C2×C22⋊C4—891no—
1176C2×C22⋊C4—891no—
1177C2×C22⋊C4—891no—
1178C2×C22⋊C4—891no—
1179C2×C22⋊C4—891no—
1180C2×C22⋊C4—891no—
1181C2×C22⋊C4—891no—
1182C2×C22⋊C4—891no—
1183C2×C22⋊C4—891no—
1184C2×C22⋊C4—891no—
1185C2×C22⋊C4—891no—
1186C2×C22⋊C4—891no—
1187C2×C22⋊C4—891no—
1188C2×C22⋊C4—891no—
1189C2×C22⋊C4—891no—
1190C2×C22⋊C4—891no—
1191C2×C22⋊C4—891no—
1192C2×C22⋊C4—891no—
1193C2×C22⋊C4—891no—
1194C2×C22⋊C4—891no—
1195C2×C22⋊C4—891no—
1196C2×C22⋊C4—891no—
1197C2×C22⋊C4—891no—
1198C2×C22⋊C4—891no—
1199C2×C22⋊C4—891no—
1200C2×C22⋊C4—891no—
1201C2×C22⋊C4—891no—
1202C2×C22⋊C4—891no—
1203C2×C22⋊C4—891no—
1204C2×C22⋊C4—891no—
1205C2×C22⋊C4—891no—
1206C2×C22⋊C4—3562no—
1207C2×C22⋊C4—3562no—
1208C2×C22⋊C4—3562no—
1209C2×C22⋊C4—3562no—
1210C2×C22⋊C4—3562no—
1211C2×C22⋊C4C22×D8911yescharacteristic
1212C2×C22⋊C4C22×D8911yescharacteristic
1213C2×C22⋊C4C22×D8911yescharacteristic
1214C2×C22⋊C4C22×D8911yescharacteristic
1215C2×C22⋊C4C22×D8911yescharacteristic
1216C2×C22⋊C4C22×D8911yescharacteristic
1217C2×C22⋊C4C22×D8911yescharacteristic
1218C2×C22⋊C4C22×D8911yescharacteristic
1219C2×C22⋊C4C22×D8911yescharacteristic
1220C2×C22⋊C4C22×D8911yescharacteristic
1221C2×C22⋊C4C22×D8911yescharacteristic
1222C2×C22⋊C4C22×D8911yescharacteristic
1223C2×C42—42no—
1224C2×C42—891no—
1225C2×C42—891no—
1226C2×C42—891no—
1227C2×C42C22×D8911yescharacteristic
1228C2×C42C22×D8911yescharacteristic
1229C2×C42C22×D8911yescharacteristic
1230C2×C42C22×D8911yescharacteristic
1231#95—891no—
1232#95—891no—
1233#95—891no—
1234#95—891no—
1235#95—891no—
1236#95—891no—
1237#95—891no—
1238#95—891no—
1239#95—891no—
1240#95—891no—
1241#95—891no—
1242#95—891no—
1243#95—891no—
1244#95—891no—
1245#95—891no—
1246#95—891no—
1247#95—891no—
1248#95—891no—
1249#95—891no—
1250#95—891no—
1251#95—891no—
1252#95—891no—
1253#95—891no—
1254#95—891no—
1255#95C22×D8911yescharacteristic
1256#95C22×D8911yescharacteristic
1257#95C22×D8911yescharacteristic
1258#95C22×D8911yescharacteristic
1259#95C22×D8911yescharacteristic
1260#95C22×D8911yescharacteristic
1261#95C22×D8911yescharacteristic
1262#95C22×D8911yescharacteristic
1263C24—894no—
1264C24—891no—
1265C24—891no—
1266C24—891no—
1267C24—891no—
1268C24—891no—
1269C24—3561no—
1270C24—3561no—
1271C24—3561no—
1272C24—3561no—
1273C24—3561no—
1274C24—3561no—
1275C24—3561no—
1276C24—3561no—
1277C24—3561no—
1278C24—3561no—
1279C24—3561no—
1280C24—3561no—
1281C24—3561no—
1282C24—3561no—
1283C24—1782no—
1284C24—1782no—
1285C24—1782no—
1286C24—1782no—
1287C24—1782no—
1288C24—1782no—
1289C24C23×D8911yescharacteristic
1290C24C23×D8911yescharacteristic
1291C24C23×D8911yescharacteristic
1292C2×Q8—22no—
1293C2×Q8—41no—
1294C2×Q8—41no—
1295C2×D4—22no—
1296C2×D4—22no—
1297C2×D4—22no—
1298C2×D4—22no—
1299C2×D4—22no—
1300C2×D4—22no—
1301C2×D4—22no—
1302C2×D4—41no—
1303C2×D4—41no—
1304C2×D4—35616no—
1305C2×D4—3561no—
1306C2×D4—3561no—
1307C2×D4—3561no—
1308C2×D4—3561no—
1309C2×D4—3561no—
1310C2×D4—3561no—
1311C2×D4—3561no—
1312C2×D4—3561no—
1313C2×D4—3561no—
1314C2×D4—3561no—
1315C2×D4—3561no—
1316C2×D4—3561no—
1317C2×D4—35616no—
1318C2×D4—3561no—
1319C2×D4—3561no—
1320C2×D4—3561no—
1321C2×D4—3561no—
1322C2×D4—3561no—
1323C2×D4—3561no—
1324C2×D4—3561no—
1325C2×D4—3561no—
1326C2×D4—3561no—
1327C2×D4—3561no—
1328C2×D4—3561no—
1329C2×D4—3561no—
1330C2×D4—3561no—
1331C2×D4—3561no—
1332C2×D4—3561no—
1333C2×D4—3561no—
1334C2×D4—3561no—
1335C2×D4—3561no—
1336C2×D4—3561no—
1337C2×D4—3561no—
1338C2×D4—3561no—
1339C2×D4—1782no—
1340C2×D4—1782no—
1341C2×D4—1782no—
1342C2×D4—1782no—
1343C2×D4—1782no—
1344C2×D4—1782no—
1345C2×D4—1782no—
1346C2×D4—1782no—
1347C2×D4—1782no—
1348C2×D4—1782no—
1349C2×D4—1782no—
1350C2×D4—1782no—
1351C2×D4—1782no—
1352C2×D4—1782no—
1353C2×D4—1782no—
1354C22×C4—22no—
1355C22×C4—22no—
1356C22×C4—22no—
1357C22×C4—22no—
1358C22×C4—22no—
1359C22×C4—22no—
1360C22×C4—41no—
1361C22×C4—41no—
1362C22×C4—41no—
1363C22×C4—891no—
1364C22×C4—891no—
1365C22×C4—891no—
1366C22×C4—891no—
1367C22×C4—891no—
1368C22×C4—891no—
1369C22×C4—891no—
1370C22×C4—891no—
1371C22×C4—891no—
1372C22×C4—891no—
1373C22×C4—891no—
1374C22×C4—3561no—
1375C22×C4—3561no—
1376C22×C4—3561no—
1377C22×C4—3561no—
1378C22×C4—3561no—
1379C22×C4—3561no—
1380C22×C4—3561no—
1381C22×C4—3561no—
1382C22×C4—3561no—
1383C22×C4—3561no—
1384C22×C4—3561no—
1385C22×C4—3561no—
1386C22×C4—3561no—
1387C22×C4—3561no—
1388C22×C4—3561no—
1389C22×C4—1782no—
1390C22×C4—1782no—
1391C22×C4—1782no—
1392C22×C4C23×D8911yescharacteristic
1393C22×C4C23×D8911yescharacteristic
1394C22×C4C23×D8911yescharacteristic
1395C22×C4C23×D8911yescharacteristic
1396C22×C4C23×D8911yescharacteristic
1397C22×C4C23×D8911yescharacteristic
1398C22×C4C23×D8911yescharacteristic
1399C22×C4C23×D8911yescharacteristic
1400C22×C4C23×D8911yescharacteristic
1401C22×C4C23×D8911yescharacteristic
1402C22×C4C23×D8911yescharacteristic
1403C22×C4C23×D8911yescharacteristic
1404C4⋊C4—41no—
1405C4⋊C4—41no—
1406C4⋊C4—41no—
1407C4⋊C4—41no—
1408C4⋊C4—3561no—
1409C4⋊C4—3561no—
1410C4⋊C4—3561no—
1411C4⋊C4—3561no—
1412C4⋊C4—3561no—
1413C4⋊C4—3561no—
1414C4⋊C4—3561no—
1415C4⋊C4—3561no—
1416C4⋊C4—3561no—
1417C4⋊C4—3561no—
1418C4⋊C4—3561no—
1419C4⋊C4—1782no—
1420C4⋊C4—1782no—
1421C4⋊C4—1782no—
1422C4⋊C4—1782no—
1423C4⋊C4—1782no—
1424C22⋊C4—22no—
1425C22⋊C4—22no—
1426C22⋊C4—22no—
1427C22⋊C4—22no—
1428C22⋊C4—22no—
1429C22⋊C4—22no—
1430C22⋊C4—41no—
1431C22⋊C4—41no—
1432C22⋊C4—41no—
1433C22⋊C4—41no—
1434C22⋊C4—41no—
1435C22⋊C4—41no—
1436C22⋊C4—3561no—
1437C22⋊C4—3561no—
1438C22⋊C4—3561no—
1439C22⋊C4—3561no—
1440C22⋊C4—3561no—
1441C22⋊C4—3561no—
1442C22⋊C4—3561no—
1443C22⋊C4—3561no—
1444C22⋊C4—3561no—
1445C22⋊C4—3561no—
1446C22⋊C4—3561no—
1447C22⋊C4—3561no—
1448C22⋊C4—3561no—
1449C22⋊C4—3561no—
1450C22⋊C4—3561no—
1451C22⋊C4—3561no—
1452C22⋊C4—3561no—
1453C22⋊C4—3561no—
1454C22⋊C4—3561no—
1455C22⋊C4—3561no—
1456C22⋊C4—3561no—
1457C22⋊C4—3561no—
1458C22⋊C4—3561no—
1459C22⋊C4—3561no—
1460C22⋊C4—3561no—
1461C22⋊C4—3561no—
1462C22⋊C4—3561no—
1463C22⋊C4—3561no—
1464C22⋊C4—3561no—
1465C22⋊C4—3561no—
1466C22⋊C4—3561no—
1467C22⋊C4—3561no—
1468C22⋊C4—3561no—
1469C22⋊C4—3561no—
1470C22⋊C4—3561no—
1471C22⋊C4—3561no—
1472C22⋊C4—3561no—
1473C22⋊C4—3561no—
1474C22⋊C4—3561no—
1475C22⋊C4—3561no—
1476C22⋊C4—1782no—
1477C22⋊C4—1782no—
1478C22⋊C4—1782no—
1479C22⋊C4—1782no—
1480C22⋊C4—1782no—
1481C22⋊C4—1782no—
1482C22⋊C4—1782no—
1483C22⋊C4—1782no—
1484C22⋊C4—1782no—
1485C22⋊C4—1782no—
1486C22⋊C4—1782no—
1487C22⋊C4—1782no—
1488C42—22no—
1489C42—22no—
1490C42—41no—
1491C42—41no—
1492C42—3561no—
1493C42—3561no—
1494C42—3561no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—892no—
1514C23—892no—
1515C23—3564no—
1516C23—3564no—
1517C23—3564no—
1518C23—3564no—
1519C23—3564no—
1520C23—3564no—
1521C23—1781no—
1522C23—1781no—
1523C23—1781no—
1524C23—1781no—
1525C23—1781no—
1526C23—1781no—
1527C23—1781no—
1528C23—1781no—
1529C23—1781no—
1530C23—1781no—
1531C23—1781no—
1532C23—1781no—
1533C23—1781no—
1534C23—1781no—
1535C23—1781no—
1536C23—1781no—
1537C23—1781no—
1538C23—1781no—
1539C23—1781no—
1540C23—1781no—
1541C23—1781no—
1542C23—1781no—
1543C23—1781no—
1544C23—1781no—
1545C23—1781no—
1546C23—1781no—
1547C23—1781no—
1548C23—1781no—
1549C23—1781no—
1550C23—1781no—
1551C23—1781no—
1552C23—1781no—
1553C23—1781no—
1554C23—1788no—
1555C23—7122no—
1556C23—7122no—
1557C23—7122no—
1558C23—7122no—
1559C23—7122no—
1560C23—7122no—
1561C23—7122no—
1562C23—7122no—
1563C23—7122no—
1564C23—7122no—
1565C23—7122no—
1566C23—7122no—
1567C23—7122no—
1568C23—7122no—
1569C23#41×D8912yes—
1570C23#1566805712yes—
1571C23#1566805812yes—
1572C23C24×D8911yescharacteristic
1573Q8—82no—
1574D4—44no—
1575D4—44no—
1576D4—82no—
1577D4—3564no—
1578D4—3564no—
1579D4—3564no—
1580D4—3564no—
1581D4—3564no—
1582D4—3564no—
1583D4—3564no—
1584D4—7122no—
1585D4—7122no—
1586D4—7122no—
1587D4—7122no—
1588D4—7122no—
1589D4—7122no—
1590D4—7122no—
1591D4—7122no—
1592D4—7122no—
1593C2×C4—28no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—44no—
1628C2×C4—44no—
1629C2×C4—3564no—
1630C2×C4—1781no—
1631C2×C4—1781no—
1632C2×C4—1781no—
1633C2×C4—1781no—
1634C2×C4—1781no—
1635C2×C4—1781no—
1636C2×C4—1781no—
1637C2×C4—1781no—
1638C2×C4—1781no—
1639C2×C4—1781no—
1640C2×C4—1781no—
1641C2×C4—1781no—
1642C2×C4—1781no—
1643C2×C4—1781no—
1644C2×C4—1781no—
1645C2×C4—1781no—
1646C2×C4—1781no—
1647C2×C4—1781no—
1648C2×C4—1781no—
1649C2×C4—1781no—
1650C2×C4—1781no—
1651C2×C4—1781no—
1652C2×C4—1781no—
1653C2×C4—1781no—
1654C2×C4—1781no—
1655C2×C4—1781no—
1656C2×C4—1781no—
1657C2×C4—1781no—
1658C2×C4—1781no—
1659C2×C4—1781no—
1660C2×C4—1781no—
1661C2×C4—1781no—
1662C2×C4—1781no—
1663C2×C4—7122no—
1664C2×C4—7122no—
1665C2×C4—7122no—
1666C2×C4—7122no—
1667C2×C4—7122no—
1668C2×C4#1566805712yes—
1669C2×C4#1566805812yes—
1670C2×C4#1566805812yes—
1671C22—22no—
1672C22—22no—
1673C22—22no—
1674C22—22no—
1675C22—22no—
1676C22—22no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—3561no—
1692C22—3561no—
1693C22—3561no—
1694C22—3561no—
1695C22—3561no—
1696C22—3561no—
1697C22—3561no—
1698C22—3561no—
1699C22—3561no—
1700C22—3561no—
1701C22—3561no—
1702C22—3561no—
1703C22—3561no—
1704C22—3561no—
1705C22—3561no—
1706C22—3561no—
1707C22—3561no—
1708C22—3561no—
1709C22—3561no—
1710C22—3561no—
1711C22—3561no—
1712C22—3561no—
1713C22—3561no—
1714C22—3561no—
1715C22—3561no—
1716C22—3561no—
1717C22—3561no—
1718C22—3561no—
1719C22—3561no—
1720C22—1782no—
1721C22—1782no—
1722C22—1782no—
1723C22—1782no—
1724C22—1782no—
1725C22—1782no—
1726C22—7128no—
1727C22—7128no—
1728C22—7128no—
1729C22#1915218214yes—
1730C22C2×#41×D8911yescharacteristic
1731C22C2×#1566805711yescharacteristic
1732C22C2×#1566805711yescharacteristic
1733C22C2×#1566805811yescharacteristic
1734C22C2×#1566805811yescharacteristic
1735C22C2×#1566805811yescharacteristic
1736C22#1915243411yescharacteristic
1737C4—22no—
1738C4—22no—
1739C4—22no—
1740C4—41no—
1741C4—41no—
1742C4—41no—
1743C4—41no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—41no—
1748C4—41no—
1749C4—3561no—
1750C4—3561no—
1751C4—3561no—
1752C4—3561no—
1753C4—3561no—
1754C4—3561no—
1755C4—3561no—
1756C4—3561no—
1757C4—3561no—
1758C4—3561no—
1759C4—3561no—
1760C2—24no—
1761C2—81no—
1762C2—81no—
1763C2—3562no—
1764C2—3562no—
1765C2—7121no—
1766C2—7121no—
1767C2—7121no—
1768C2C2×#1915218211yescharacteristic
1769C2#2603393511yescharacteristic
1770C2#2603408711yescharacteristic
1771C2#2603448711yescharacteristic
1772C2#2603456811yescharacteristic
1773C2#2603458211yescharacteristic
1774C2#2603477511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D89
commutator, socle, cosocleC23×C89C25
FittingC89×#2850C2
hypercenter#2850D89
hypocenterC89#36808
LCSG ▷ C23×C89 ▷ C89
UCSC1 ◁ C23 ◁ #2850

Complements

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

NH ≅ G/Ntype
1. #26028567C2semidirect
2. #26028112C2semidirect
3. #26027642C2semidirect
4. #26027578C2semidirect
5. #26027525C2semidirect
6. #26027517C2semidirect
7. #26027506C2semidirect
8. #26027470C2semidirect
9. #26027247C2semidirect
10. #26027052C2semidirect
11. #26027045C2semidirect
12. #26026893C2semidirect
13. #26026646C2semidirect
14. #26026641C2semidirect
15. #26026572C2semidirect
16. #26026548C2semidirect
17. #26026473C2semidirect
18. #26026029C2semidirect
19. #26025992C2semidirect
20. #26024512C2semidirect
21. #26024385C2semidirect
22. #26023985C2semidirect
23. #26023915C2semidirect
24. #26023794C2semidirect
25. #26023629C2semidirect
26. #26023623C2semidirect
27. #26023564C2semidirect
28. #26022915C2semidirect
29. #26022826C2semidirect
30. C2×#19151500C2semidirect
31. C89×#2850C2semidirect
34. C2×#15668006C22semidirect
35. C2×#15668005C22semidirect
36. C2×#15668001C22semidirect
37. C2×#15667996C22semidirect
38. C2×#15667988C22semidirect
39. C2×#15667985C22semidirect
40. C2×#15667985C22semidirect
42. C2×#15667984C22semidirect
48. C2×#15667980C22semidirect
49. C2×#15667980C22semidirect
50. C2×D4×Dic89C22semidirect
51. C22×C4⋊Dic89C22semidirect
54. C22×#13083551C22semidirect
55. C22×#13083551C22semidirect
57. #19151540C22semidirect
58. #19151538C22semidirect
59. #19151535C22semidirect
60. #19151533C22semidirect
61. #19151530C22semidirect
62. #19151527C22semidirect
63. #19151527C22semidirect
64. #19151527C22semidirect
65. #19151527C22semidirect
66. #19151525C22semidirect
67. #19151525C22semidirect
68. #19151524C22semidirect
69. #19151523C22semidirect
70. #19151523C22semidirect
71. #19151521C22semidirect
72. #19151520C22semidirect
73. #19151520C22semidirect
74. #19151520C22semidirect
77. #19151516C22semidirect
78. #19151516C22semidirect
79. #19151515C22semidirect
80. #19151515C22semidirect
81. #19151515C22semidirect
82. #19151514C22semidirect
83. #19151514C22semidirect
84. #19151514C22semidirect
85. #19151514C22semidirect
86. #19151513C22semidirect
87. #19151513C22semidirect
88. #19151513C22semidirect
89. #19151513C22semidirect
90. #19151513C22semidirect
91. #19151513C22semidirect
92. #19151509C22semidirect
93. #19151509C22semidirect
100. #19151507C22semidirect
101. #19151507C22semidirect
102. #19151507C22semidirect
103. #19151506C22semidirect
104. #19151506C22semidirect
109. #19151500C22semidirect
110. #19151500C22semidirect
111. #19151500C22semidirect
112. #19151500C22semidirect
113. #19151499C22semidirect
114. #19151498C22semidirect
115. #19151498C22semidirect
116. #19151498C22semidirect
117. #19151491C22semidirect
118. #19151490C22semidirect
119. #19151490C22semidirect
120. #19151490C22semidirect
121. #19151489C22semidirect
122. #19151489C22semidirect
123. #19151489C22semidirect
124. #19151488C22semidirect
125. #19151488C22semidirect
126. #19151488C22semidirect
127. #19151487C22semidirect
128. #19151487C22semidirect
129. #19151485C22semidirect
130. #19151483C22semidirect
131. #19151483C22semidirect
132. #19151482C22semidirect
133. #19151482C22semidirect
134. #19151482C22semidirect
142. #19151476C22semidirect
143. #19151476C22semidirect
144. #19151476C22semidirect
145. #19151476C22semidirect
147. #19151475C22semidirect
148. #19151475C22semidirect
149. #19151475C22semidirect
150. #19151474C22semidirect
151. #19151474C22semidirect
152. #19151474C22semidirect
153. #19151473C22semidirect
154. #19151473C22semidirect
155. #19151471C22semidirect
156. #19151471C22semidirect
157. #19151471C22semidirect
158. #19151469C22semidirect
159. #19151469C22semidirect
160. #19151469C22semidirect
161. #19151466C22semidirect
162. #19151460C22semidirect
163. #19151460C22semidirect
164. #19151456C22semidirect
165. #19151455C22semidirect
167. #19151453C22semidirect
168. #19151453C22semidirect
169. #19151453C22semidirect
170. #19151453C22semidirect
171. C22⋊C4×Dic89C22semidirect
172. C2×#124×C89C22semidirect
173. C2×C22⋊Q8×C89C22semidirect
175. C22×C42×C89C22semidirect
176. #391×C89C22semidirect
177. #390×C89C22semidirect
178. #388×C89C22semidirect
179. #388×C89C22semidirect
180. #388×C89C22semidirect
181. #388×C89C22semidirect
184. #386×C89C22semidirect
185. #386×C89C22semidirect
186. #382×C89C22semidirect
889. #2850D89semidirect
919. C89#36808semidirect
925. C2×#124C2×D89semidirect
928. C2×C22⋊Q8C2×D89semidirect
948. C22×C42C2×D89semidirect
997. #391C2×D89semidirect
1010. #390C2×D89semidirect
1023. #388C2×D89semidirect
1024. #388C2×D89semidirect
1025. #388C2×D89semidirect
1026. #388C2×D89semidirect
1053. #386C2×D89semidirect
1054. #386C2×D89semidirect
1064. #382C2×D89semidirect

Maximal subgroups

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

subgroupindex
#260285672
#260281122
#260276422
#260275782
#260275252
#260275172
#260275062
#260274702
#260272472
#260270522
#260270452
#260268932
#260266462
#260266412
#260265722
#260265482
#260264732
#260260292
#260259922
#260245122
#260243852
#260239852
#260239152
#260237942
#260236292
#260236232
#260235642
#260229152
#260228262
C2×#191515002
C89×#28502
#3680889