Finite Group Databasebeta

← #36763241

Subgroups — #36763241

Order 22784.

2142 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#26028547C211yesmaximal, characteristic, complemented
2#26028533C211yesmaximal, characteristic, complemented
3#26028113C211yesmaximal, characteristic, complemented
4#26028003C211yesmaximal, characteristic, complemented
5#26027947C211yesmaximal, characteristic, complemented
6#26027895C211yesmaximal, characteristic, complemented
7#26027873C211yesmaximal, characteristic, complemented
8#26027504C211yesmaximal, characteristic, complemented
9#26027497C211yesmaximal, characteristic, complemented
10#26027422C211yesmaximal, characteristic, complemented
11#26027043C211yesmaximal, characteristic, complemented
12#26026989C211yesmaximal, characteristic, complemented
13#26026973C211yesmaximal, characteristic, complemented
14#26026970C211yesmaximal, characteristic, complemented
15#26026792C211yesmaximal, characteristic, complemented
16#26026663C211yesmaximal, characteristic, complemented
17#26026618C211yesmaximal, characteristic, complemented
18#26026206C211yesmaximal, characteristic, complemented
19#26026181C211yesmaximal, characteristic, complemented
20#26024506C211yesmaximal, characteristic, complemented
21#26024381C211yesmaximal, characteristic, complemented
22#26023986C211yesmaximal, characteristic, complemented
23#26023925C211yesmaximal, characteristic, complemented
24#26023865C211yesmaximal, characteristic, complemented
25#26023787C211yesmaximal, characteristic, complemented
26#26023634C211yesmaximal, characteristic, complemented
27#26023572C211yesmaximal, characteristic, complemented
28#26022919C211yesmaximal, characteristic, complemented
29#26022843C211yesmaximal, characteristic, complemented
30#385×D89C211yesmaximal, characteristic, complemented
31C89×#2804C211yesmaximal, characteristic, complemented
32C22×#13083575C2211yescharacteristic
33C23×C4×D89C2211yescharacteristic
34C2×#15668007C2211yescharacteristic, complemented
35C2×#15668001C2211yescharacteristic
36C2×#15667997C2211yescharacteristic
37C2×#15667997C2211yescharacteristic
38C2×#15667995C2211yescharacteristic, complemented
39C2×#15667994C2211yescharacteristic
40C2×#15667988C2211yescharacteristic
41C2×#15667986C2211yescharacteristic
42C2×#15667985C2211yescharacteristic
43C2×#15667985C2211yescharacteristic
44C2×#15667985C2211yescharacteristic
45C2×#15667984C2211yescharacteristic
46C2×#15667982C2211yescharacteristic
47C2×#15667982C2211yescharacteristic
48C2×#15667980C2211yescharacteristic
49C2×C4×C22⋊D89C2211yescharacteristic
50C2×#15667969C2211yescharacteristic
51C2×C4⋊C4×D89C2211yescharacteristic
52C2×C4⋊C4×D89C2211yescharacteristic
53C2×C22⋊C4×D89C2211yescharacteristic
54C2×C22⋊C4×D89C2211yescharacteristic
55C89⋊#401C2211yescharacteristic, complemented
56#19151539C2211yescharacteristic, complemented
57#19151539C2211yescharacteristic, complemented
58#19151539C2211yescharacteristic, complemented
59#19151539C2211yescharacteristic, complemented
60#19151539C2211yescharacteristic, complemented
61#19151538C2211yescharacteristic, complemented
62#19151533C2211yescharacteristic, complemented
63#19151532C2211yescharacteristic, complemented
64#19151532C2211yescharacteristic, complemented
65#19151528C2211yescharacteristic, complemented
66#19151527C2211yescharacteristic
67#19151527C2211yescharacteristic, complemented
68#19151527C2211yescharacteristic, complemented
69#19151526C2211yescharacteristic, complemented
70#19151525C2211yescharacteristic, complemented
71#19151524C2211yescharacteristic, complemented
72#19151524C2211yescharacteristic, complemented
73#19151523C2211yescharacteristic, complemented
74#19151522C2211yescharacteristic, complemented
75#19151521C2211yescharacteristic
76#19151521C2211yescharacteristic
77#19151520C2211yescharacteristic
78#19151520C2211yescharacteristic, complemented
79#19151517C2211yescharacteristic, complemented
80#19151517C2211yescharacteristic, complemented
81#19151516C2211yescharacteristic
82#19151516C2211yescharacteristic
83#19151516C2211yescharacteristic, complemented
84#19151514C2211yescharacteristic
85#19151514C2211yescharacteristic, complemented
86#19151513C2211yescharacteristic
87#19151513C2211yescharacteristic
88#19151513C2211yescharacteristic, complemented
89#19151513C2211yescharacteristic, complemented
90#19151512C2211yescharacteristic
91#19151509C2211yescharacteristic
92#19151509C2211yescharacteristic, complemented
93#19151508C2211yescharacteristic
94#19151507C2211yescharacteristic
95#19151507C2211yescharacteristic, complemented
96#19151506C2211yescharacteristic
97#19151505C2211yescharacteristic, complemented
98#19151500C2211yescharacteristic, complemented
99#19151499C2211yescharacteristic, complemented
100#19151498C2211yescharacteristic
101#19151498C2211yescharacteristic
102#19151498C2211yescharacteristic
103#19151495C2211yescharacteristic, complemented
104#19151495C2211yescharacteristic, complemented
105#19151494C2211yescharacteristic, complemented
106#19151492C2211yescharacteristic
107#19151492C2211yescharacteristic
108#19151491C2211yescharacteristic, complemented
109#19151490C2211yescharacteristic
110#19151489C2211yescharacteristic
111#19151488C2211yescharacteristic, complemented
112#19151487C2211yescharacteristic
113#19151487C2211yescharacteristic, complemented
114#19151486C2211yescharacteristic, complemented
115#19151485C2211yescharacteristic, complemented
116#19151483C2211yescharacteristic, complemented
117#19151483C2211yescharacteristic, complemented
118#19151482C2211yescharacteristic, complemented
119#19151480C2211yescharacteristic, complemented
120#19151480C2211yescharacteristic, complemented
121#19151479C2211yescharacteristic, complemented
122#19151477C2211yescharacteristic
123#19151477C2211yescharacteristic
124#19151476C2211yescharacteristic
125#19151476C2211yescharacteristic
126#19151476C2211yescharacteristic
127#19151476C2211yescharacteristic
128#19151476C2211yescharacteristic
129#19151476C2211yescharacteristic
130#19151476C2211yescharacteristic
131#19151476C2211yescharacteristic
132#19151476C2211yescharacteristic
133#19151476C2211yescharacteristic
134#19151476C2211yescharacteristic
135#19151475C2211yescharacteristic
136#19151474C2211yescharacteristic
137#19151474C2211yescharacteristic
138#19151474C2211yescharacteristic
139#19151474C2211yescharacteristic
140#19151474C2211yescharacteristic
141#19151474C2211yescharacteristic, complemented
142#19151474C2211yescharacteristic, complemented
143#19151473C2211yescharacteristic
144#19151472C2211yescharacteristic
145#19151472C2211yescharacteristic
146#19151472C2211yescharacteristic
147#19151472C2211yescharacteristic, complemented
148#19151472C2211yescharacteristic, complemented
149#19151471C2211yescharacteristic
150#19151471C2211yescharacteristic, complemented
151#19151470C2211yescharacteristic
152#19151470C2211yescharacteristic
153#19151469C2211yescharacteristic
154#19151469C2211yescharacteristic
155#19151469C2211yescharacteristic
156#19151469C2211yescharacteristic
157#19151469C2211yescharacteristic
158#19151460C2211yescharacteristic
159#19151460C2211yescharacteristic
160#19151460C2211yescharacteristic
161#19151457C2211yescharacteristic
162#19151457C2211yescharacteristic
163#19151457C2211yescharacteristic, complemented
164#19151457C2211yescharacteristic, complemented
165#19151457C2211yescharacteristic, complemented
166#19151457C2211yescharacteristic, complemented
167#19151456C2211yescharacteristic
168#19151453C2211yescharacteristic
169#19151445C2211yescharacteristic
170#95×D89C2211yescharacteristic
171#95×D89C2211yescharacteristic
172#400×C89C2211yescharacteristic, complemented
173#400×C89C2211yescharacteristic, complemented
174#393×C89C2211yescharacteristic
175#393×C89C2211yescharacteristic
176#393×C89C2211yescharacteristic, complemented
177#393×C89C2211yescharacteristic, complemented
178#391×C89C2211yescharacteristic, complemented
179#391×C89C2211yescharacteristic, complemented
180#390×C89C2211yescharacteristic
181#386×C89C2211yescharacteristic
182#386×C89C2211yescharacteristic
183#385×C89C2211yescharacteristic
184#385×C89C2211yescharacteristic
185#385×C89C2211yescharacteristic, complemented
186#385×C89C2211yescharacteristic, complemented
187C24×D89C2311yescharacteristic
188C2×#13083575—24no—
189C2×#13083575—42no—
190C2×#13083575—42no—
191C22×D356C2311yescharacteristic
192C22×D356C2311yescharacteristic
193C22×D356C2311yescharacteristic
194C22×D356C2311yescharacteristic
195C22×D356C2311yescharacteristic
196C22×C22⋊D89C2311yescharacteristic
197C22×C22⋊D89C2311yescharacteristic
198C22×C22⋊D89C2311yescharacteristic
199C22×C22⋊D89C2311yescharacteristic
200C22×C22⋊D89C2311yescharacteristic
201C22×C22⋊D89C2311yescharacteristic
202C23×Dic89C2311yescharacteristic
203C22×C4×D89—42no—
204C22×C4×D89—42no—
205C22×C4×D89—42no—
206C22×C4×D89C2311yescharacteristic
207C22×C4×D89C2311yescharacteristic
208C22×C4×D89C2311yescharacteristic
209C22×C4×D89C2311yescharacteristic
210C22×C4×D89C2311yescharacteristic
211C22×C4×D89C2311yescharacteristic
212C22×C4×D89C2311yescharacteristic
213C22×C4×D89C2311yescharacteristic
214C22×C4×D89C2311yescharacteristic
215C22×C4×D89C2311yescharacteristic
216#15668007—42no—
217#15668001—42no—
218#15667997—42no—
219#15667997—42no—
220#15667995—42no—
221#15667994—24no—
222#15667988—42no—
223#15667986—42no—
224#15667985—42no—
225#15667985—42no—
226#15667985—42no—
227#15667984—42no—
228#15667982—42no—
229#15667982—42no—
230#15667980—42no—
231C4×C22⋊D89—42no—
232#15667969—42no—
233C2×C4⋊Dic89C2311yescharacteristic
234C2×C4⋊Dic89C2311yescharacteristic
235C2×C4⋊Dic89C2311yescharacteristic
236C2×C4⋊Dic89C2311yescharacteristic
237C2×C4⋊Dic89C2311yescharacteristic
238C2×#13083553C2311yescharacteristic
239C2×#13083553C2311yescharacteristic
240C2×#13083553C2311yescharacteristic
241C2×#13083553C2311yescharacteristic
242C2×#13083553C2311yescharacteristic
243C2×#13083553C2311yescharacteristic
244C2×#13083553C2311yescharacteristic
245C2×#13083553C2311yescharacteristic
246C2×#13083553C2311yescharacteristic
247C2×#13083553C2311yescharacteristic
248C2×#13083553C2311yescharacteristic
249C2×#13083553C2311yescharacteristic
250C2×#13083553C2311yescharacteristic
251C2×#13083553C2311yescharacteristic
252C2×#13083553C2311yescharacteristic
253C2×#13083553C2311yescharacteristic
254C2×#13083553C2311yescharacteristic
255C2×#13083553C2311yescharacteristic
256C4⋊C4×D89—42no—
257C4⋊C4×D89—42no—
258C2×C22⋊Dic89C2311yescharacteristic
259C2×C22⋊Dic89C2311yescharacteristic
260C2×C22⋊Dic89C2311yescharacteristic
261C2×C22⋊Dic89C2311yescharacteristic
262C2×C22⋊Dic89C2311yescharacteristic
263C2×C22⋊Dic89C2311yescharacteristic
264C2×C22⋊Dic89C2311yescharacteristic
265C2×C22⋊Dic89C2311yescharacteristic
266C2×#13083551C2311yescharacteristic
267C2×#13083551C2311yescharacteristic
268C2×#13083551C2311yescharacteristic
269C2×#13083551C2311yescharacteristic
270C2×#13083551C2311yescharacteristic
271C2×#13083551C2311yescharacteristic
272C2×#13083551C2311yescharacteristic
273C2×#13083551C2311yescharacteristic
274C2×#13083551C2311yescharacteristic
275C2×#13083551C2311yescharacteristic
276C2×#13083551C2311yescharacteristic
277C2×#13083551C2311yescharacteristic
278C2×#13083551C2311yescharacteristic
279C2×#13083551C2311yescharacteristic
280C2×#13083551C2311yescharacteristic
281C2×#13083551C2311yescharacteristic
282C2×#13083551C2311yescharacteristic
283C2×#13083551C2311yescharacteristic
284C2×#13083551C2311yescharacteristic
285C2×#13083551C2311yescharacteristic
286C2×#13083551C2311yescharacteristic
287C2×#13083551C2311yescharacteristic
288C2×#13083551C2311yescharacteristic
289C2×#13083551C2311yescharacteristic
290C2×#13083551C2311yescharacteristic
291C2×#13083551C2311yescharacteristic
292C2×#13083551C2311yescharacteristic
293C2×#13083551C2311yescharacteristic
294C2×#13083551C2311yescharacteristic
295C2×#13083551C2311yescharacteristic
296C2×#13083551C2311yescharacteristic
297C2×#13083551C2311yescharacteristic
298C22⋊C4×D89—24no—
299C22⋊C4×D89—42no—
300C2×C4×Dic89C2311yescharacteristic
301C2×C4×Dic89C2311yescharacteristic
302C2×C4×Dic89C2311yescharacteristic
303C2×C4×Dic89C2311yescharacteristic
304#15667919C2311yescharacteristic
305#15667919C2311yescharacteristic
306#15667919C2311yescharacteristic
307#15667919C2311yescharacteristic
308#15667919C2311yescharacteristic
309#15667919C2311yescharacteristic
310#15667919C2311yescharacteristic
311#15667919C2311yescharacteristic
312#15667919C2311yescharacteristic
313#15667919C2311yescharacteristic
314#15667919C2311yescharacteristic
315#15667919C2311yescharacteristic
316#15667919C2311yescharacteristic
317#15667919C2311yescharacteristic
318#15667919C2311yescharacteristic
319#15667919C2311yescharacteristic
320#15667919C2311yescharacteristic
321#15667919C2311yescharacteristic
322#15667919C2311yescharacteristic
323#15667919C2311yescharacteristic
324#15667919C2311yescharacteristic
325#15667919C2311yescharacteristic
326#15667919C2311yescharacteristic
327#15667919C2311yescharacteristic
328#15667919C2311yescharacteristic
329#15667919C2311yescharacteristic
330#15667919C2311yescharacteristic
331#15667919C2311yescharacteristic
332#15667919C2311yescharacteristic
333#15667919C2311yescharacteristic
334C22×Q8×C89C2311yescharacteristic
335C22×Q8×C89C2311yescharacteristic
336C22×D4×C89C2311yescharacteristic
337C23×C4×C89C2311yescharacteristic
338C23×C4×C89C2311yescharacteristic
339C2×C4⋊C4×C89C2311yescharacteristic
340C2×C4⋊C4×C89C2311yescharacteristic
341C2×C4⋊C4×C89C2311yescharacteristic
342C2×C4⋊C4×C89C2311yescharacteristic
343C2×C4⋊C4×C89C2311yescharacteristic
344C2×C22⋊C4×C89C2311yescharacteristic
345C2×C22⋊C4×C89C2311yescharacteristic
346C2×C22⋊C4×C89C2311yescharacteristic
347C2×C22⋊C4×C89C2311yescharacteristic
348C2×C22⋊C4×C89C2311yescharacteristic
349C2×C22⋊C4×C89C2311yescharacteristic
350C2×C22⋊C4×C89C2311yescharacteristic
351C2×C22⋊C4×C89C2311yescharacteristic
352C2×C22⋊C4×C89C2311yescharacteristic
353C2×C22⋊C4×C89C2311yescharacteristic
354C2×C42×C89C2311yescharacteristic
355#95×C89C2311yescharacteristic
356#95×C89C2311yescharacteristic
357#95×C89C2311yescharacteristic
358#95×C89C2311yescharacteristic
359#95×C89C2311yescharacteristic
360#95×C89C2311yescharacteristic
361#95×C89C2311yescharacteristic
362#95×C89C2311yescharacteristic
363#95×C89C2311yescharacteristic
364#95×C89C2311yescharacteristic
365#95×C89C2311yescharacteristic
366#95×C89C2311yescharacteristic
367#95×C89C2311yescharacteristic
368#95×C89C2311yescharacteristic
369C23×D89—22no—
370C23×D89—22no—
371C23×D89—22no—
372C23×D89—22no—
373C23×D89—22no—
374C23×D89—41no—
375C23×D89—41no—
376C23×D89C2411yescharacteristic
377C23×D89C2411yescharacteristic
378C23×D89C2411yescharacteristic
379C23×D89C2411yescharacteristic
380#13083575—416no—
381C2×D356—22no—
382C2×D356—22no—
383C2×D356—22no—
384C2×D356—22no—
385C2×D356—22no—
386C2×D356—22no—
387C2×D356—22no—
388C2×D356—22no—
389C2×D356—22no—
390C2×D356—41no—
391C2×D356—41no—
392C2×D356—41no—
393C2×D356—41no—
394C2×D356—41no—
395C2×D356—41no—
396C2×C22⋊D89—22no—
397C2×C22⋊D89—22no—
398C2×C22⋊D89—22no—
399C2×C22⋊D89—22no—
400C2×C22⋊D89—22no—
401C2×C22⋊D89—22no—
402C2×C22⋊D89—22no—
403C2×C22⋊D89—41no—
404C2×C22⋊D89—41no—
405C2×C22⋊D89—41no—
406C2×C22⋊D89—41no—
407C2×C22⋊D89—41no—
408C2×C22⋊D89—41no—
409C2×C22⋊D89—41no—
410C2×C22⋊D89—41no—
411C2×C22⋊D89—41no—
412C2×C22⋊D89—41no—
413C2×C22⋊D89—41no—
414C22×Dic89—22no—
415C22×Dic89—41no—
416C22×Dic89—41no—
417C22×Dic89C2411yescharacteristic
418C22×Dic89C2411yescharacteristic
419C22×Dic89C2411yescharacteristic
420C22×Dic89C2411yescharacteristic
421C22×Dic89C2411yescharacteristic
422C22×Dic89C2411yescharacteristic
423C22×Dic89C2411yescharacteristic
424C22×Dic89C2411yescharacteristic
425C22×Dic89C2411yescharacteristic
426C22×Dic89C2411yescharacteristic
427C22×Dic89C2411yescharacteristic
428C22×Dic89C2411yescharacteristic
429C2×C4×D89—22no—
430C2×C4×D89—22no—
431C2×C4×D89—22no—
432C2×C4×D89—22no—
433C2×C4×D89—22no—
434C2×C4×D89—22no—
435C2×C4×D89—22no—
436C2×C4×D89—22no—
437C2×C4×D89—22no—
438C2×C4×D89—22no—
439C2×C4×D89—22no—
440C2×C4×D89—22no—
441C2×C4×D89—22no—
442C2×C4×D89—41no—
443C2×C4×D89—41no—
444C2×C4×D89—41no—
445C2×C4×D89—41no—
446C2×C4×D89—41no—
447C2×C4×D89—41no—
448C2×C4×D89—41no—
449C2×C4×D89—41no—
450C2×C4×D89—41no—
451C2×C4×D89—41no—
452C2×C4×D89—41no—
453C2×C4×D89—41no—
454C2×C4×D89—416no—
455C2×C4×D89—41no—
456C2×C4×D89—41no—
457C2×C4×D89—41no—
458C2×C4×D89—41no—
459C2×C4×D89#4114yes—
460C4⋊Dic89—22no—
461C4⋊Dic89—22no—
462C4⋊Dic89—41no—
463C4⋊Dic89—41no—
464C4⋊Dic89—41no—
465#13083553—22no—
466#13083553—22no—
467#13083553—22no—
468#13083553—22no—
469#13083553—41no—
470#13083553—41no—
471#13083553—41no—
472#13083553—41no—
473#13083553—41no—
474#13083553—41no—
475#13083553—41no—
476#13083553—41no—
477#13083553—41no—
478#13083553—41no—
479#13083553—41no—
480#13083553—41no—
481#13083553—41no—
482#13083553—41no—
483C22⋊Dic89—22no—
484C22⋊Dic89—22no—
485C22⋊Dic89—22no—
486C22⋊Dic89—41no—
487C22⋊Dic89—41no—
488C22⋊Dic89—41no—
489C22⋊Dic89—41no—
490C22⋊Dic89—41no—
491#13083551—22no—
492#13083551—22no—
493#13083551—22no—
494#13083551—22no—
495#13083551—22no—
496#13083551—22no—
497#13083551—22no—
498#13083551—22no—
499#13083551—22no—
500#13083551—22no—
501#13083551—22no—
502#13083551—41no—
503#13083551—41no—
504#13083551—41no—
505#13083551—41no—
506#13083551—41no—
507#13083551—41no—
508#13083551—41no—
509#13083551—41no—
510#13083551—41no—
511#13083551—41no—
512#13083551—41no—
513#13083551—41no—
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—
523C4×Dic89—41no—
524C4×Dic89—41no—
525C4×Dic89—41no—
526C4×Dic89—41no—
527C24×C89C2411yescharacteristic
528C24×C89C2411yescharacteristic
529C2×Q8×C89—22no—
530C2×Q8×C89—41no—
531C2×Q8×C89—41no—
532C2×Q8×C89—41no—
533C2×Q8×C89—41no—
534C2×Q8×C89—41no—
535C2×D4×C89—22no—
536C2×D4×C89—41no—
537C2×D4×C89—41no—
538C22×C4×C89—41no—
539C22×C4×C89—41no—
540C22×C4×C89—41no—
541C22×C4×C89—41no—
542C22×C4×C89—41no—
543C22×C4×C89—41no—
544C22×C4×C89C2411yescharacteristic
545C22×C4×C89C2411yescharacteristic
546C22×C4×C89C2411yescharacteristic
547C22×C4×C89C2411yescharacteristic
548C22×C4×C89C2411yescharacteristic
549C22×C4×C89C2411yescharacteristic
550C22×C4×C89C2411yescharacteristic
551C22×C4×C89C2411yescharacteristic
552C22×C4×C89C2411yescharacteristic
553C22×C4×C89C2411yescharacteristic
554C22×C4×C89C2411yescharacteristic
555C22×C4×C89C2411yescharacteristic
556C22×C4×C89C2411yescharacteristic
557C4⋊C4×C89—41no—
558C4⋊C4×C89—41no—
559C4⋊C4×C89—41no—
560C4⋊C4×C89—41no—
561C4⋊C4×C89—41no—
562C22⋊C4×C89—22no—
563C22⋊C4×C89—22no—
564C22⋊C4×C89—41no—
565C22⋊C4×C89—41no—
566C22⋊C4×C89—41no—
567C22⋊C4×C89—41no—
568C22⋊C4×C89—41no—
569C22⋊C4×C89—41no—
570C22⋊C4×C89—41no—
571C22⋊C4×C89—41no—
572C42×C89—41no—
573C23×C89—21no—
574C23×C89—21no—
575C23×C89—21no—
576C23×C89—21no—
577C23×C89—21no—
578C23×C89—21no—
579C23×C89—21no—
580C23×C89—21no—
581C23×C89—21no—
582C23×C89—21no—
583C23×C89—21no—
584C23×C89—21no—
585C23×C89—21no—
586C23×C892−1+412yes—
587C23×C89C2511yescharacteristic
588C22×D89—21no—
589C22×D89—21no—
590C22×D89—21no—
591C22×D89—21no—
592C22×D89—28no—
593C22×D89—21no—
594C22×D89—21no—
595C22×D89—21no—
596C22×D89—21no—
597C22×D89—21no—
598C22×D89—21no—
599C22×D89—21no—
600C22×D89—21no—
601C22×D89—21no—
602C22×D89—21no—
603C22×D89—21no—
604C22×D89—21no—
605C22×D89—21no—
606C22×D89—21no—
607C22×D89—21no—
608C22×D89—21no—
609C22×D89—21no—
610C22×D89—21no—
611C22×D89—21no—
612C22×D89—21no—
613C22×D89—44no—
614C22×D89—44no—
615C22×D89—44no—
616C22×D89—44no—
617C22×D89—44no—
618C22×D89—44no—
619C22×D89C2×#4112yes—
620C22×D89H(5,𝔽2)12yes—
621C22×D89H(5,𝔽2)12yes—
622C22×D89H(5,𝔽2)12yes—
623Q8×C89—44no—
624Q8×C89—82no—
625D4×C89—82no—
626C2×C4×C89—21no—
627C2×C4×C89—21no—
628C2×C4×C89—21no—
629C2×C4×C89—21no—
630C2×C4×C89—21no—
631C2×C4×C89—21no—
632C2×C4×C89—21no—
633C2×C4×C89—21no—
634C2×C4×C89—21no—
635C2×C4×C89—21no—
636C2×C4×C89—21no—
637C2×C4×C89—21no—
638C2×C4×C89—21no—
639C2×C4×C89—21no—
640C2×C4×C89—21no—
641C2×C4×C89—21no—
642C2×C4×C89—21no—
643C2×C4×C89—21no—
644C2×C4×C89—21no—
645C2×C4×C89—21no—
646C2×C4×C89—21no—
647C2×C4×C89—21no—
648C2×C4×C89—21no—
649C2×C4×C89—21no—
650C2×C4×C89—21no—
651C2×C4×C89—21no—
652C2×C4×C89—21no—
653C2×C4×C89—21no—
654C2×C4×C89—21no—
655C2×C4×C89—21no—
656C2×C4×C89—21no—
657C2×C4×C89—21no—
658C2×C4×C89—21no—
659C2×C4×C89—21no—
660C2×C4×C89—21no—
661C2×C4×C89—21no—
662C2×C4×C89—21no—
663C2×C4×C89—21no—
664C2×C4×C89—44no—
665C2×C4×C89—82no—
666C2×C4×C89C2×#4112yes—
667C22⋊D89—44no—
668C22⋊D89—82no—
669C22⋊D89—82no—
670C22⋊D89—82no—
671C22⋊D89—82no—
672C22⋊D89—82no—
673C2×Dic89—21no—
674C2×Dic89—21no—
675C2×Dic89—21no—
676C2×Dic89—21no—
677C2×Dic89—21no—
678C2×Dic89—21no—
679C2×Dic89—21no—
680C2×Dic89—21no—
681C2×Dic89—21no—
682C2×Dic89—21no—
683C2×Dic89—21no—
684C2×Dic89—21no—
685C2×Dic89—21no—
686C2×Dic89—21no—
687C2×Dic89—21no—
688C2×Dic89—21no—
689C2×Dic89—21no—
690C2×Dic89—21no—
691C2×Dic89—21no—
692C2×Dic89—21no—
693C2×Dic89—21no—
694C2×Dic89—21no—
695C2×Dic89—21no—
696C2×Dic89—21no—
697C2×Dic89—21no—
698C2×Dic89—21no—
699C2×Dic89—21no—
700C2×Dic89—21no—
701C2×Dic89—21no—
702C2×Dic89—21no—
703C2×Dic89—21no—
704C2×Dic89—21no—
705C2×Dic89—21no—
706C2×Dic89—21no—
707C2×Dic89—44no—
708C2×Dic89C2×#4112yes—
709C2×Dic89H(5,𝔽2)12yes—
710D356—44no—
711D356—44no—
712D356—44no—
713D356—82no—
714D356—82no—
715C4×D89—28no—
716C4×D89—44no—
717C4×D89—44no—
718C4×D89—44no—
719C4×D89—44no—
720C4×D89—44no—
721C4×D89—44no—
722C4×D89—44no—
723C4×D89—82no—
724C4×D89—82no—
725C22×C89—22no—
726C22×C89—22no—
727C22×C89—22no—
728C22×C89—41no—
729C22×C89—41no—
730C22×C89—41no—
731C22×C89—41no—
732C22×C89—41no—
733C22×C89—41no—
734C22×C89—41no—
735C22×C89—41no—
736C22×C89—41no—
737C22×C89—41no—
738C22×C89—41no—
739C22×C89C22×#4111yescharacteristic
740C22×C89C2×H(5,𝔽2)11yescharacteristic
741C22×C89C2×H(5,𝔽2)11yescharacteristic
742C22×C89C2×H(5,𝔽2)11yescharacteristic
743C22×C89C2×H(5,𝔽2)11yescharacteristic
744C22×C89C2×2−1+411yescharacteristic
745C22×C89#58511yescharacteristic
746C2×D89—22no—
747C2×D89—22no—
748C2×D89—22no—
749C2×D89—22no—
750C2×D89—22no—
751C2×D89—22no—
752C2×D89—22no—
753C2×D89—22no—
754C2×D89—22no—
755C2×D89—416no—
756C2×D89—41no—
757C2×D89—41no—
758C2×D89—41no—
759C2×D89—41no—
760C2×D89—41no—
761C2×D89—41no—
762C2×D89—41no—
763C2×D89—41no—
764C2×D89—41no—
765C2×D89—41no—
766C2×D89—41no—
767C2×D89—41no—
768C2×D89—41no—
769C2×D89—41no—
770C2×D89—41no—
771C2×D89—41no—
772C2×D89—41no—
773C2×D89—41no—
774C2×D89#53814yes—
775C4×C89—22no—
776C4×C89—41no—
777C4×C89—41no—
778C4×C89—41no—
779C4×C89—41no—
780C4×C89—41no—
781C4×C89—41no—
782C4×C89—41no—
783C4×C89—41no—
784C4×C89—41no—
785C4×C89—41no—
786C4×C89—41no—
787C4×C89—41no—
788Dic89—22no—
789Dic89—22no—
790Dic89—41no—
791Dic89—41no—
792Dic89—41no—
793Dic89—41no—
794Dic89—41no—
795Dic89—41no—
796Dic89—41no—
797Dic89—41no—
798Dic89—41no—
799Dic89—41no—
800#36791—891nomaximal, Sylow
801C2×C89—42no—
802C2×C89—81no—
803C2×C89C2×#53811yescharacteristic
804C2×C89#349211yescharacteristic
805C2×C89#350611yescharacteristic
806C2×C89#353211yescharacteristic
807C2×C89#353411yescharacteristic
808C2×C89#353511yescharacteristic
809C2×C89#353611yescharacteristic
810D89—24no—
811D89—42no—
812D89—81no—
813D89—81no—
814#2849—891no—
815#2847—891no—
816#2804D8911yescharacteristic, complemented
817#2797—891no—
818#2788—891no—
819#2784—891no—
820#2780—891no—
821#2778—891no—
822#2751—891no—
823#2750—891no—
824#2745—891no—
825#2714—891no—
826#2710—891no—
827#2708—891no—
828#2708—891no—
829#2695—891no—
830#2686—891no—
831#2682—891no—
832#2643—891no—
833#2639—891no—
834#2481—891no—
835#2472—891no—
836#2443—891no—
837#2438—891no—
838#2430—891no—
839#2424—891no—
840#2411—891no—
841#2404—891no—
842#2322—891no—
843#2311—891no—
844C2×#385—891no—
845C89#3679111yescharacteristic, complemented, Sylow
846C22×#41—891no—
847C24×C4—891no—
848C2×#126—891no—
849C2×#124—891no—
850C2×#123—891no—
851C2×#123—891no—
852C2×#123—891no—
853C2×#123—891no—
854C2×C22⋊Q8—891no—
855C2×#121—891no—
856C2×#121—891no—
857C2×#121—891no—
858C2×#121—891no—
859C2×#121—891no—
860C2×#120—891no—
861C2×#120—891no—
862C2×#120—891no—
863C2×C4×D4—891no—
864C2×#117—891no—
865C22×C4⋊C4—891no—
866C22×C4⋊C4—891no—
867C22×C22⋊C4—891no—
868C22×C22⋊C4—891no—
869#401—891no—
870#400—891no—
871#400—891no—
872#400—891no—
873#400—891no—
874#400—891no—
875#400—891no—
876#400C2×D8911yescharacteristic, complemented
877#400C2×D8911yescharacteristic, complemented
878#399—891no—
879#398—891no—
880#398—891no—
881#398—891no—
882#397—891no—
883#397—891no—
884#397—891no—
885#397—891no—
886#397—891no—
887#397—891no—
888#397—891no—
889#397—891no—
890#396—891no—
891#396—891no—
892#396—891no—
893#396—891no—
894#396—891no—
895#395—891no—
896#395—891no—
897#394—891no—
898#394—891no—
899#394—891no—
900#394—891no—
901#394—891no—
902#394—891no—
903#394—891no—
904#394—891no—
905#394—891no—
906#394—891no—
907#393—891no—
908#393—891no—
909#393C2×D8911yescharacteristic
910#393C2×D8911yescharacteristic
911#393C2×D8911yescharacteristic, complemented
912#393C2×D8911yescharacteristic, complemented
913#392—891no—
914#392—891no—
915#392—891no—
916#392—891no—
917#391—891no—
918#391C2×D8911yescharacteristic, complemented
919#391C2×D8911yescharacteristic, complemented
920#390—891no—
921#390—891no—
922#390—891no—
923#390—891no—
924#390—891no—
925#390C2×D8911yescharacteristic
926#389—891no—
927#389—891no—
928#389—891no—
929#388—891no—
930#388—891no—
931#388—891no—
932#388—891no—
933#388—891no—
934#388—891no—
935#388—891no—
936#388—891no—
937#388—891no—
938#387—891no—
939#387—891no—
940#387—891no—
941#387—891no—
942#387—891no—
943#387—891no—
944#387—891no—
945#386—891no—
946#386—891no—
947#386—891no—
948#386—891no—
949#386—891no—
950#386—891no—
951#386—891no—
952#386—891no—
953#386—891no—
954#386—891no—
955#386—891no—
956#386—891no—
957#386—891no—
958#386—891no—
959#386—891no—
960#386—891no—
961#386—891no—
962#386—891no—
963#386—891no—
964#386—891no—
965#386—891no—
966#386C2×D8911yescharacteristic
967#386C2×D8911yescharacteristic
968#385—891no—
969#385—891no—
970#385—891no—
971#385—891no—
972#385—891no—
973#385—891no—
974#385—891no—
975#385—891no—
976#385—891no—
977#385—891no—
978#385—891no—
979#385—891no—
980#385—891no—
981#385—891no—
982#385—891no—
983#385C2×D8911yescharacteristic
984#385C2×D8911yescharacteristic
985#385C2×D8911yescharacteristic, complemented
986#385C2×D8911yescharacteristic, complemented
987#381—891no—
988#381—891no—
989#381—891no—
990#380—891no—
991#380—891no—
992#380—891no—
993#380—891no—
994#380—891no—
995#380—891no—
996#380—891no—
997#379—891no—
998C4×C22⋊C4—891no—
999C2×#95—891no—
1000C2×#95—891no—
1001C25—891no—
1002C2×#41—3562no—
1003C2×#41—3562no—
1004C2×#41—1784no—
1005C22×Q8C22×D8911yescharacteristic
1006C22×Q8C22×D8911yescharacteristic
1007C22×D4—891no—
1008C22×D4—891no—
1009C22×D4—891no—
1010C22×D4—891no—
1011C22×D4—891no—
1012C22×D4—891no—
1013C22×D4—891no—
1014C22×D4—891no—
1015C22×D4—891no—
1016C22×D4—891no—
1017C22×D4—891no—
1018C22×D4C22×D8911yescharacteristic
1019C23×C4—891no—
1020C23×C4—891no—
1021C23×C4—891no—
1022C23×C4—891no—
1023C23×C4—891no—
1024C23×C4—891no—
1025C23×C4—891no—
1026C23×C4—891no—
1027C23×C4—891no—
1028C23×C4—891no—
1029C23×C4—891no—
1030C23×C4—3562no—
1031C23×C4—3562no—
1032C23×C4—3562no—
1033C23×C4C22×D8911yescharacteristic
1034C23×C4C22×D8911yescharacteristic
1035#126—3562no—
1036#124—3562no—
1037#123—3562no—
1038#123—3562no—
1039#123—3562no—
1040#123—1784no—
1041C22⋊Q8—3562no—
1042#121—3562no—
1043#121—3562no—
1044#121—3562no—
1045#121—3562no—
1046#121—3562no—
1047#120—3562no—
1048#120—3562no—
1049#120—3562no—
1050C4×D4—3562no—
1051#117—3562no—
1052C2×C4⋊C4—891no—
1053C2×C4⋊C4—891no—
1054C2×C4⋊C4—891no—
1055C2×C4⋊C4—891no—
1056C2×C4⋊C4—891no—
1057C2×C4⋊C4—891no—
1058C2×C4⋊C4—891no—
1059C2×C4⋊C4—891no—
1060C2×C4⋊C4—891no—
1061C2×C4⋊C4—891no—
1062C2×C4⋊C4—891no—
1063C2×C4⋊C4—891no—
1064C2×C4⋊C4—891no—
1065C2×C4⋊C4—891no—
1066C2×C4⋊C4—891no—
1067C2×C4⋊C4—891no—
1068C2×C4⋊C4—891no—
1069C2×C4⋊C4—891no—
1070C2×C4⋊C4—891no—
1071C2×C4⋊C4—891no—
1072C2×C4⋊C4—891no—
1073C2×C4⋊C4—891no—
1074C2×C4⋊C4—891no—
1075C2×C4⋊C4—3562no—
1076C2×C4⋊C4—3562no—
1077C2×C4⋊C4C22×D8911yescharacteristic
1078C2×C4⋊C4C22×D8911yescharacteristic
1079C2×C4⋊C4C22×D8911yescharacteristic
1080C2×C4⋊C4C22×D8911yescharacteristic
1081C2×C4⋊C4C22×D8911yescharacteristic
1082C2×C22⋊C4—891no—
1083C2×C22⋊C4—891no—
1084C2×C22⋊C4—891no—
1085C2×C22⋊C4—891no—
1086C2×C22⋊C4—891no—
1087C2×C22⋊C4—891no—
1088C2×C22⋊C4—891no—
1089C2×C22⋊C4—891no—
1090C2×C22⋊C4—891no—
1091C2×C22⋊C4—891no—
1092C2×C22⋊C4—891no—
1093C2×C22⋊C4—891no—
1094C2×C22⋊C4—891no—
1095C2×C22⋊C4—891no—
1096C2×C22⋊C4—891no—
1097C2×C22⋊C4—891no—
1098C2×C22⋊C4—891no—
1099C2×C22⋊C4—891no—
1100C2×C22⋊C4—891no—
1101C2×C22⋊C4—891no—
1102C2×C22⋊C4—891no—
1103C2×C22⋊C4—891no—
1104C2×C22⋊C4—891no—
1105C2×C22⋊C4—891no—
1106C2×C22⋊C4—891no—
1107C2×C22⋊C4—891no—
1108C2×C22⋊C4—891no—
1109C2×C22⋊C4—891no—
1110C2×C22⋊C4—891no—
1111C2×C22⋊C4—891no—
1112C2×C22⋊C4—891no—
1113C2×C22⋊C4—891no—
1114C2×C22⋊C4—891no—
1115C2×C22⋊C4—891no—
1116C2×C22⋊C4—891no—
1117C2×C22⋊C4—891no—
1118C2×C22⋊C4—891no—
1119C2×C22⋊C4—891no—
1120C2×C22⋊C4—891no—
1121C2×C22⋊C4—891no—
1122C2×C22⋊C4—3562no—
1123C2×C22⋊C4—1784no—
1124C2×C22⋊C4C22×D8911yescharacteristic
1125C2×C22⋊C4C22×D8911yescharacteristic
1126C2×C22⋊C4C22×D8911yescharacteristic
1127C2×C22⋊C4C22×D8911yescharacteristic
1128C2×C22⋊C4C22×D8911yescharacteristic
1129C2×C22⋊C4C22×D8911yescharacteristic
1130C2×C22⋊C4C22×D8911yescharacteristic
1131C2×C22⋊C4C22×D8911yescharacteristic
1132C2×C22⋊C4C22×D8911yescharacteristic
1133C2×C22⋊C4C22×D8911yescharacteristic
1134C2×C42—891no—
1135C2×C42—891no—
1136C2×C42—891no—
1137C2×C42—891no—
1138C2×C42C22×D8911yescharacteristic
1139#95—891no—
1140#95—891no—
1141#95—891no—
1142#95—891no—
1143#95—891no—
1144#95—891no—
1145#95—891no—
1146#95—891no—
1147#95—891no—
1148#95—891no—
1149#95—891no—
1150#95—891no—
1151#95—891no—
1152#95—891no—
1153#95—891no—
1154#95—891no—
1155#95—891no—
1156#95—891no—
1157#95—891no—
1158#95—891no—
1159#95—891no—
1160#95—891no—
1161#95—891no—
1162#95—891no—
1163#95—891no—
1164#95—891no—
1165#95—891no—
1166#95—891no—
1167#95—891no—
1168#95—891no—
1169#95C22×D8911yescharacteristic
1170#95C22×D8911yescharacteristic
1171#95C22×D8911yescharacteristic
1172#95C22×D8911yescharacteristic
1173#95C22×D8911yescharacteristic
1174#95C22×D8911yescharacteristic
1175#95C22×D8911yescharacteristic
1176#95C22×D8911yescharacteristic
1177#95C22×D8911yescharacteristic
1178#95C22×D8911yescharacteristic
1179#95C22×D8911yescharacteristic
1180#95C22×D8911yescharacteristic
1181#95C22×D8911yescharacteristic
1182#95C22×D8911yescharacteristic
1183C24—891no—
1184C24—891no—
1185C24—891no—
1186C24—891no—
1187C24—3561no—
1188C24—3561no—
1189C24—1782no—
1190C24—1782no—
1191C24—1782no—
1192C24—1782no—
1193C24—1782no—
1194C24C23×D8911yescharacteristic
1195C24C23×D8911yescharacteristic
1196#41—35616no—
1197C2×Q8—22no—
1198C2×Q8—41no—
1199C2×Q8—41no—
1200C2×Q8—41no—
1201C2×Q8—41no—
1202C2×Q8—41no—
1203C2×D4—22no—
1204C2×D4—41no—
1205C2×D4—41no—
1206C2×D4—3561no—
1207C2×D4—3561no—
1208C2×D4—3561no—
1209C2×D4—3561no—
1210C2×D4—3561no—
1211C2×D4—3561no—
1212C2×D4—3561no—
1213C2×D4—3561no—
1214C2×D4—3561no—
1215C2×D4—3561no—
1216C2×D4—3561no—
1217C2×D4—3561no—
1218C2×D4—3561no—
1219C2×D4—3561no—
1220C2×D4—3561no—
1221C2×D4—3561no—
1222C2×D4—3561no—
1223C2×D4—1782no—
1224C2×D4—1782no—
1225C2×D4—1782no—
1226C2×D4—1782no—
1227C2×D4—1782no—
1228C2×D4—1782no—
1229C2×D4—1782no—
1230C2×D4—1782no—
1231C2×D4—1782no—
1232C2×D4—1782no—
1233C2×D4—1782no—
1234C2×D4—1782no—
1235C2×D4—1782no—
1236C2×D4—1782no—
1237C2×D4—1782no—
1238C2×D4—1782no—
1239C22×C4—41no—
1240C22×C4—41no—
1241C22×C4—41no—
1242C22×C4—41no—
1243C22×C4—41no—
1244C22×C4—41no—
1245C22×C4—891no—
1246C22×C4—891no—
1247C22×C4—894no—
1248C22×C4—891no—
1249C22×C4—891no—
1250C22×C4—891no—
1251C22×C4—891no—
1252C22×C4—891no—
1253C22×C4—891no—
1254C22×C4—891no—
1255C22×C4—891no—
1256C22×C4—891no—
1257C22×C4—891no—
1258C22×C4—3561no—
1259C22×C4—3561no—
1260C22×C4—3561no—
1261C22×C4—3561no—
1262C22×C4—3561no—
1263C22×C4—3561no—
1264C22×C4—3561no—
1265C22×C4—3561no—
1266C22×C4—3561no—
1267C22×C4—3561no—
1268C22×C4—3561no—
1269C22×C4—3561no—
1270C22×C4—3561no—
1271C22×C4—3561no—
1272C22×C4—3561no—
1273C22×C4—3561no—
1274C22×C4—35616no—
1275C22×C4—3561no—
1276C22×C4—3561no—
1277C22×C4—1782no—
1278C22×C4—1782no—
1279C22×C4—1782no—
1280C22×C4—1782no—
1281C22×C4—1782no—
1282C22×C4—1782no—
1283C22×C4—1782no—
1284C22×C4—1782no—
1285C22×C4—1782no—
1286C22×C4—1782no—
1287C22×C4—1782no—
1288C22×C4—1782no—
1289C22×C4—1782no—
1290C22×C4—1782no—
1291C22×C4C23×D8911yescharacteristic
1292C22×C4C23×D8911yescharacteristic
1293C22×C4C23×D8911yescharacteristic
1294C22×C4C23×D8911yescharacteristic
1295C22×C4C23×D8911yescharacteristic
1296C22×C4C23×D8911yescharacteristic
1297C22×C4C23×D8911yescharacteristic
1298C22×C4C23×D8911yescharacteristic
1299C22×C4C23×D8911yescharacteristic
1300C22×C4C23×D8911yescharacteristic
1301C22×C4C23×D8911yescharacteristic
1302C22×C4C23×D8911yescharacteristic
1303C22×C4C23×D8911yescharacteristic
1304C4⋊C4—41no—
1305C4⋊C4—41no—
1306C4⋊C4—41no—
1307C4⋊C4—41no—
1308C4⋊C4—41no—
1309C4⋊C4—3561no—
1310C4⋊C4—3561no—
1311C4⋊C4—3561no—
1312C4⋊C4—3561no—
1313C4⋊C4—3561no—
1314C4⋊C4—3561no—
1315C4⋊C4—3561no—
1316C4⋊C4—3561no—
1317C4⋊C4—3561no—
1318C4⋊C4—3561no—
1319C4⋊C4—3561no—
1320C4⋊C4—3561no—
1321C4⋊C4—3561no—
1322C4⋊C4—3561no—
1323C4⋊C4—3561no—
1324C4⋊C4—3561no—
1325C4⋊C4—3561no—
1326C4⋊C4—1782no—
1327C4⋊C4—1782no—
1328C4⋊C4—1782no—
1329C4⋊C4—1782no—
1330C4⋊C4—1782no—
1331C4⋊C4—1782no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—3561no—
1343C22⋊C4—3561no—
1344C22⋊C4—3561no—
1345C22⋊C4—3561no—
1346C22⋊C4—3561no—
1347C22⋊C4—3561no—
1348C22⋊C4—3561no—
1349C22⋊C4—3561no—
1350C22⋊C4—3561no—
1351C22⋊C4—3561no—
1352C22⋊C4—3561no—
1353C22⋊C4—3561no—
1354C22⋊C4—3561no—
1355C22⋊C4—3561no—
1356C22⋊C4—3561no—
1357C22⋊C4—3561no—
1358C22⋊C4—3561no—
1359C22⋊C4—3561no—
1360C22⋊C4—3561no—
1361C22⋊C4—3561no—
1362C22⋊C4—3561no—
1363C22⋊C4—3561no—
1364C22⋊C4—3561no—
1365C22⋊C4—3561no—
1366C22⋊C4—3561no—
1367C22⋊C4—3561no—
1368C22⋊C4—1782no—
1369C22⋊C4—1782no—
1370C22⋊C4—1782no—
1371C22⋊C4—1782no—
1372C22⋊C4—1782no—
1373C22⋊C4—1782no—
1374C22⋊C4—1782no—
1375C22⋊C4—1782no—
1376C22⋊C4—1782no—
1377C22⋊C4—1782no—
1378C22⋊C4—1782no—
1379C22⋊C4—1782no—
1380C22⋊C4—1782no—
1381C22⋊C4—1782no—
1382C42—41no—
1383C42—3561no—
1384C42—3561no—
1385C42—3561no—
1386C42—3561no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—892no—
1401C23—892no—
1402C23—892no—
1403C23—892no—
1404C23—3564no—
1405C23—3564no—
1406C23—3564no—
1407C23—3564no—
1408C23—3564no—
1409C23—3564no—
1410C23—1788no—
1411C23—1781no—
1412C23—1781no—
1413C23—1781no—
1414C23—1781no—
1415C23—1781no—
1416C23—1781no—
1417C23—1781no—
1418C23—1781no—
1419C23—1781no—
1420C23—1781no—
1421C23—1781no—
1422C23—1781no—
1423C23—1781no—
1424C23—1781no—
1425C23—1781no—
1426C23—1781no—
1427C23—1781no—
1428C23—1781no—
1429C23—1781no—
1430C23—1781no—
1431C23—1781no—
1432C23—1781no—
1433C23—1781no—
1434C23—1781no—
1435C23#1566806012yes—
1436C23C24×D8911yescharacteristic
1437Q8—44no—
1438Q8—82no—
1439D4—82no—
1440D4—3564no—
1441D4—3564no—
1442D4—3564no—
1443D4—3564no—
1444D4—7122no—
1445D4—7122no—
1446D4—7122no—
1447D4—7122no—
1448D4—7122no—
1449D4—7122no—
1450D4—7122no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—44no—
1490C2×C4—82no—
1491C2×C4—892no—
1492C2×C4—892no—
1493C2×C4—3564no—
1494C2×C4—3564no—
1495C2×C4—3564no—
1496C2×C4—3564no—
1497C2×C4—3564no—
1498C2×C4—3564no—
1499C2×C4—3564no—
1500C2×C4—3564no—
1501C2×C4—1788no—
1502C2×C4—1781no—
1503C2×C4—1781no—
1504C2×C4—1781no—
1505C2×C4—1781no—
1506C2×C4—1781no—
1507C2×C4—1781no—
1508C2×C4—1781no—
1509C2×C4—1781no—
1510C2×C4—1781no—
1511C2×C4—1781no—
1512C2×C4—1781no—
1513C2×C4—1781no—
1514C2×C4—1781no—
1515C2×C4—1781no—
1516C2×C4—1781no—
1517C2×C4—1781no—
1518C2×C4—1781no—
1519C2×C4—1781no—
1520C2×C4—1781no—
1521C2×C4—1781no—
1522C2×C4—1781no—
1523C2×C4—1781no—
1524C2×C4—1781no—
1525C2×C4—1781no—
1526C2×C4—1781no—
1527C2×C4—1781no—
1528C2×C4—1781no—
1529C2×C4—1781no—
1530C2×C4—1781no—
1531C2×C4—1781no—
1532C2×C4—1781no—
1533C2×C4—1781no—
1534C2×C4—1781no—
1535C2×C4—1781no—
1536C2×C4—7122no—
1537C2×C4—7122no—
1538C2×C4#41×D8912yes—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—894no—
1554C22—35616no—
1555C22—3561no—
1556C22—3561no—
1557C22—3561no—
1558C22—3561no—
1559C22—3561no—
1560C22—3561no—
1561C22—3561no—
1562C22—3561no—
1563C22—3561no—
1564C22—3561no—
1565C22—3561no—
1566C22—3561no—
1567C22—3561no—
1568C22—3561no—
1569C22—3561no—
1570C22—3561no—
1571C22—3561no—
1572C22—3561no—
1573C22—1782no—
1574C22—1782no—
1575C22—1782no—
1576C22—1782no—
1577C22—1782no—
1578C22—1782no—
1579C22—1782no—
1580C22—1782no—
1581C22—1782no—
1582C22C2×#41×D8911yescharacteristic
1583C22H(5,𝔽2)×D8911yescharacteristic
1584C22H(5,𝔽2)×D8911yescharacteristic
1585C22H(5,𝔽2)×D8911yescharacteristic
1586C22H(5,𝔽2)×D8911yescharacteristic
1587C22C2×#1566806011yescharacteristic
1588C22#1915243411yescharacteristic
1589C4—22no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—3561no—
1603C4—3561no—
1604C4—3561no—
1605C4—3561no—
1606C4—3561no—
1607C4—3561no—
1608C4—3561no—
1609C4—3561no—
1610C4—3561no—
1611C4—3561no—
1612C4—1782no—
1613C4—1782no—
1614C2—42no—
1615C2—81no—
1616C2—3562no—
1617C2—1784no—
1618C2—7121no—
1619C2—7121no—
1620C2#538×D8911yescharacteristic
1621C2#2603396011yescharacteristic
1622C2#2603410011yescharacteristic
1623C2#2603440911yescharacteristic
1624C2#2603444111yescharacteristic
1625C2#2603445611yescharacteristic
1626C2#2603447811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D89
commutator, socle, cosocleC23×C89C25
FittingC89×#2804C2
hypercenter#2804D89
hypocenterC89#36791
LCSG ▷ C23×C89 ▷ C89
UCSC1 ◁ C23 ◁ #2804

Complements

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

NH ≅ G/Ntype
1. #26028547C2semidirect
2. #26028533C2semidirect
3. #26028113C2semidirect
4. #26028003C2semidirect
5. #26027947C2semidirect
6. #26027895C2semidirect
7. #26027873C2semidirect
8. #26027504C2semidirect
9. #26027497C2semidirect
10. #26027422C2semidirect
11. #26027043C2semidirect
12. #26026989C2semidirect
13. #26026973C2semidirect
14. #26026970C2semidirect
15. #26026792C2semidirect
16. #26026663C2semidirect
17. #26026618C2semidirect
18. #26026206C2semidirect
19. #26026181C2semidirect
20. #26024506C2semidirect
21. #26024381C2semidirect
22. #26023986C2semidirect
23. #26023925C2semidirect
24. #26023865C2semidirect
25. #26023787C2semidirect
26. #26023634C2semidirect
27. #26023572C2semidirect
28. #26022919C2semidirect
29. #26022843C2semidirect
30. #385×D89C2semidirect
31. C89×#2804C2semidirect
34. C2×#15668007C22semidirect
38. C2×#15667995C22semidirect
55. C89⋊#401C22semidirect
56. #19151539C22semidirect
57. #19151539C22semidirect
58. #19151539C22semidirect
59. #19151539C22semidirect
60. #19151539C22semidirect
61. #19151538C22semidirect
62. #19151533C22semidirect
63. #19151532C22semidirect
64. #19151532C22semidirect
65. #19151528C22semidirect
67. #19151527C22semidirect
68. #19151527C22semidirect
69. #19151526C22semidirect
70. #19151525C22semidirect
71. #19151524C22semidirect
72. #19151524C22semidirect
73. #19151523C22semidirect
74. #19151522C22semidirect
78. #19151520C22semidirect
79. #19151517C22semidirect
80. #19151517C22semidirect
83. #19151516C22semidirect
85. #19151514C22semidirect
88. #19151513C22semidirect
89. #19151513C22semidirect
92. #19151509C22semidirect
95. #19151507C22semidirect
97. #19151505C22semidirect
98. #19151500C22semidirect
99. #19151499C22semidirect
103. #19151495C22semidirect
104. #19151495C22semidirect
105. #19151494C22semidirect
108. #19151491C22semidirect
111. #19151488C22semidirect
113. #19151487C22semidirect
114. #19151486C22semidirect
115. #19151485C22semidirect
116. #19151483C22semidirect
117. #19151483C22semidirect
118. #19151482C22semidirect
119. #19151480C22semidirect
120. #19151480C22semidirect
121. #19151479C22semidirect
141. #19151474C22semidirect
142. #19151474C22semidirect
147. #19151472C22semidirect
148. #19151472C22semidirect
150. #19151471C22semidirect
163. #19151457C22semidirect
164. #19151457C22semidirect
165. #19151457C22semidirect
166. #19151457C22semidirect
172. #400×C89C22semidirect
173. #400×C89C22semidirect
176. #393×C89C22semidirect
177. #393×C89C22semidirect
178. #391×C89C22semidirect
179. #391×C89C22semidirect
185. #385×C89C22semidirect
186. #385×C89C22semidirect
816. #2804D89semidirect
845. C89#36791semidirect
876. #400C2×D89semidirect
877. #400C2×D89semidirect
911. #393C2×D89semidirect
912. #393C2×D89semidirect
918. #391C2×D89semidirect
919. #391C2×D89semidirect
985. #385C2×D89semidirect
986. #385C2×D89semidirect

Maximal subgroups

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

subgroupindex
#260285472
#260285332
#260281132
#260280032
#260279472
#260278952
#260278732
#260275042
#260274972
#260274222
#260270432
#260269892
#260269732
#260269702
#260267922
#260266632
#260266182
#260262062
#260261812
#260245062
#260243812
#260239862
#260239252
#260238652
#260237872
#260236342
#260235722
#260229192
#260228432
#385×D892
C89×#28042
#3679189