Finite Group Databasebeta

← #36762807

Subgroups — #36762807

Order 22784.

2078 conjugacy classes of subgroups.

The subgroup lattice has 1622 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#26027893C211yesmaximal, characteristic, complemented
4#26027739C211yesmaximal, characteristic, complemented
5#26027638C211yesmaximal, characteristic, complemented
6#26027530C211yesmaximal, characteristic, complemented
7#26027478C211yesmaximal, characteristic, complemented
8#26027461C211yesmaximal, characteristic, complemented
9#26027384C211yesmaximal, characteristic, complemented
10#26027327C211yesmaximal, characteristic, complemented
11#26027009C211yesmaximal, characteristic, complemented
12#26026956C211yesmaximal, characteristic, complemented
13#26026940C211yesmaximal, characteristic, complemented
14#26026866C211yesmaximal, characteristic, complemented
15#26026860C211yesmaximal, characteristic, complemented
16#26026685C211yesmaximal, characteristic, complemented
17#26026493C211yesmaximal, characteristic, complemented
18#26026037C211yesmaximal, characteristic, complemented
19#26025995C211yesmaximal, characteristic, complemented
20#26025181C211yesmaximal, characteristic, complemented
21#26025143C211yesmaximal, characteristic, complemented
22#26023978C211yesmaximal, characteristic, complemented
23#26023800C211yesmaximal, characteristic, complemented
24#26023783C211yesmaximal, characteristic, complemented
25#26023732C211yesmaximal, characteristic, complemented
26#26023713C211yesmaximal, characteristic, complemented
27#26023687C211yesmaximal, characteristic, complemented
28#26022949C211yesmaximal, characteristic, complemented
29#26022884C211yesmaximal, characteristic, complemented
30#385×D89C211yesmaximal, characteristic, complemented
31C89×#2780C211yesmaximal, characteristic, complemented
32C23×C4×D89C2211yescharacteristic
33C2×#15668004C2211yescharacteristic, complemented
34C2×#15667997C2211yescharacteristic
35C2×#15667997C2211yescharacteristic
36C2×#15667997C2211yescharacteristic
37C2×#15667997C2211yescharacteristic
38C2×#15667995C2211yescharacteristic
39C2×#15667994C2211yescharacteristic
40C2×#15667987C2211yescharacteristic
41C2×#15667987C2211yescharacteristic
42C2×#15667985C2211yescharacteristic
43C2×#15667985C2211yescharacteristic
44C2×#15667985C2211yescharacteristic
45C2×#15667985C2211yescharacteristic, complemented
46C2×#15667984C2211yescharacteristic
47C2×#15667982C2211yescharacteristic
48C2×#15667982C2211yescharacteristic
49C2×#15667980C2211yescharacteristic
50C2×#15667974C2211yescharacteristic
51C2×#15667974C2211yescharacteristic
52C2×C4×C22⋊D89C2211yescharacteristic
53C2×C4⋊C4×D89C2211yescharacteristic
54C2×C4⋊C4×D89C2211yescharacteristic
55C2×C22⋊C4×D89C2211yescharacteristic
56C2×C22⋊C4×D89C2211yescharacteristic
57#19151539C2211yescharacteristic, complemented
58#19151539C2211yescharacteristic, complemented
59#19151538C2211yescharacteristic, complemented
60#19151536C2211yescharacteristic, complemented
61#19151534C2211yescharacteristic
62#19151534C2211yescharacteristic
63#19151534C2211yescharacteristic, complemented
64#19151533C2211yescharacteristic
65#19151531C2211yescharacteristic, complemented
66#19151531C2211yescharacteristic, complemented
67#19151529C2211yescharacteristic, complemented
68#19151529C2211yescharacteristic, complemented
69#19151529C2211yescharacteristic, complemented
70#19151529C2211yescharacteristic, complemented
71#19151529C2211yescharacteristic, complemented
72#19151527C2211yescharacteristic
73#19151527C2211yescharacteristic, complemented
74#19151527C2211yescharacteristic, complemented
75#19151526C2211yescharacteristic, complemented
76#19151526C2211yescharacteristic, complemented
77#19151526C2211yescharacteristic, complemented
78#19151522C2211yescharacteristic, complemented
79#19151522C2211yescharacteristic, complemented
80#19151520C2211yescharacteristic
81#19151520C2211yescharacteristic, complemented
82#19151520C2211yescharacteristic, complemented
83#19151520C2211yescharacteristic, complemented
84#19151520C2211yescharacteristic, complemented
85#19151516C2211yescharacteristic
86#19151516C2211yescharacteristic, complemented
87#19151515C2211yescharacteristic
88#19151515C2211yescharacteristic
89#19151515C2211yescharacteristic, complemented
90#19151515C2211yescharacteristic, complemented
91#19151514C2211yescharacteristic
92#19151514C2211yescharacteristic
93#19151514C2211yescharacteristic, complemented
94#19151513C2211yescharacteristic, complemented
95#19151512C2211yescharacteristic
96#19151507C2211yescharacteristic
97#19151507C2211yescharacteristic
98#19151506C2211yescharacteristic
99#19151500C2211yescharacteristic
100#19151498C2211yescharacteristic
101#19151498C2211yescharacteristic
102#19151498C2211yescharacteristic
103#19151498C2211yescharacteristic, complemented
104#19151495C2211yescharacteristic, complemented
105#19151494C2211yescharacteristic, complemented
106#19151493C2211yescharacteristic, complemented
107#19151492C2211yescharacteristic
108#19151492C2211yescharacteristic
109#19151491C2211yescharacteristic, complemented
110#19151490C2211yescharacteristic, complemented
111#19151489C2211yescharacteristic, complemented
112#19151488C2211yescharacteristic
113#19151488C2211yescharacteristic
114#19151487C2211yescharacteristic
115#19151487C2211yescharacteristic, complemented
116#19151487C2211yescharacteristic, complemented
117#19151484C2211yescharacteristic, complemented
118#19151483C2211yescharacteristic, complemented
119#19151480C2211yescharacteristic, complemented
120#19151479C2211yescharacteristic, complemented
121#19151479C2211yescharacteristic, complemented
122#19151477C2211yescharacteristic
123#19151477C2211yescharacteristic
124#19151477C2211yescharacteristic, complemented
125#19151477C2211yescharacteristic, complemented
126#19151476C2211yescharacteristic
127#19151476C2211yescharacteristic
128#19151476C2211yescharacteristic
129#19151476C2211yescharacteristic
130#19151476C2211yescharacteristic
131#19151476C2211yescharacteristic
132#19151475C2211yescharacteristic
133#19151474C2211yescharacteristic
134#19151474C2211yescharacteristic
135#19151474C2211yescharacteristic
136#19151474C2211yescharacteristic
137#19151474C2211yescharacteristic
138#19151474C2211yescharacteristic, complemented
139#19151473C2211yescharacteristic
140#19151472C2211yescharacteristic
141#19151472C2211yescharacteristic
142#19151472C2211yescharacteristic
143#19151472C2211yescharacteristic, complemented
144#19151471C2211yescharacteristic
145#19151470C2211yescharacteristic
146#19151470C2211yescharacteristic
147#19151469C2211yescharacteristic
148#19151469C2211yescharacteristic
149#19151469C2211yescharacteristic
150#19151469C2211yescharacteristic
151#19151469C2211yescharacteristic
152#19151469C2211yescharacteristic, complemented
153#19151465C2211yescharacteristic, complemented
154#19151463C2211yescharacteristic, complemented
155#19151462C2211yescharacteristic, complemented
156#19151460C2211yescharacteristic
157#19151460C2211yescharacteristic
158#19151460C2211yescharacteristic
159#19151460C2211yescharacteristic, complemented
160#19151460C2211yescharacteristic, complemented
161#19151457C2211yescharacteristic
162#19151457C2211yescharacteristic
163#19151457C2211yescharacteristic
164#19151457C2211yescharacteristic, complemented
165#19151456C2211yescharacteristic
166#19151455C2211yescharacteristic
167#19151455C2211yescharacteristic, complemented
168#19151453C2211yescharacteristic
169C4×#13083551C2211yescharacteristic
170#95×D89C2211yescharacteristic
171#95×D89C2211yescharacteristic
172#400×C89C2211yescharacteristic, complemented
173#399×C89C2211yescharacteristic, complemented
174#398×C89C2211yescharacteristic, complemented
175#396×C89C2211yescharacteristic
176#396×C89C2211yescharacteristic
177#396×C89C2211yescharacteristic, complemented
178#390×C89C2211yescharacteristic
179#389×C89C2211yescharacteristic, complemented
180#387×C89C2211yescharacteristic, complemented
181#386×C89C2211yescharacteristic
182#386×C89C2211yescharacteristic
183#385×C89C2211yescharacteristic
184#385×C89C2211yescharacteristic
185#385×C89C2211yescharacteristic, complemented
186#380×C89C2211yescharacteristic, complemented
187C24×D89C2311yescharacteristic
188C22×D356C2311yescharacteristic
189C22×D356C2311yescharacteristic
190C22×D356C2311yescharacteristic
191C22×D356C2311yescharacteristic
192C22×D356C2311yescharacteristic
193C22×C22⋊D89C2311yescharacteristic
194C22×C22⋊D89C2311yescharacteristic
195C22×C22⋊D89C2311yescharacteristic
196C22×C22⋊D89C2311yescharacteristic
197C22×C22⋊D89C2311yescharacteristic
198C22×C22⋊D89C2311yescharacteristic
199C23×Dic89C2311yescharacteristic
200C22×C4×D89—42no—
201C22×C4×D89—42no—
202C22×C4×D89—42no—
203C22×C4×D89C2311yescharacteristic
204C22×C4×D89C2311yescharacteristic
205C22×C4×D89C2311yescharacteristic
206C22×C4×D89C2311yescharacteristic
207C22×C4×D89C2311yescharacteristic
208C22×C4×D89C2311yescharacteristic
209C22×C4×D89C2311yescharacteristic
210C22×C4×D89C2311yescharacteristic
211C22×C4×D89C2311yescharacteristic
212C22×C4×D89C2311yescharacteristic
213#15668004—42no—
214#15667997—42no—
215#15667997—42no—
216#15667997—42no—
217#15667997—42no—
218#15667995—42no—
219#15667994—42no—
220#15667987—42no—
221#15667987—42no—
222#15667985—24no—
223#15667985—42no—
224#15667985—42no—
225#15667985—42no—
226#15667984—42no—
227#15667982—42no—
228#15667982—42no—
229#15667980—42no—
230#15667974—24no—
231#15667974—42no—
232C4×C22⋊D89—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×D4×C89C2311yescharacteristic
335C23×C4×C89C2311yescharacteristic
336C23×C4×C89C2311yescharacteristic
337C2×C4⋊C4×C89C2311yescharacteristic
338C2×C4⋊C4×C89C2311yescharacteristic
339C2×C4⋊C4×C89C2311yescharacteristic
340C2×C4⋊C4×C89C2311yescharacteristic
341C2×C4⋊C4×C89C2311yescharacteristic
342C2×C4⋊C4×C89C2311yescharacteristic
343C2×C4⋊C4×C89C2311yescharacteristic
344C2×C4⋊C4×C89C2311yescharacteristic
345C2×C4⋊C4×C89C2311yescharacteristic
346C2×C4⋊C4×C89C2311yescharacteristic
347C2×C4⋊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×C22⋊C4×C89C2311yescharacteristic
355C2×C22⋊C4×C89C2311yescharacteristic
356C2×C22⋊C4×C89C2311yescharacteristic
357C2×C22⋊C4×C89C2311yescharacteristic
358C2×C42×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
380C2×D356—22no—
381C2×D356—22no—
382C2×D356—22no—
383C2×D356—22no—
384C2×D356—22no—
385C2×D356—22no—
386C2×D356—22no—
387C2×D356—22no—
388C2×D356—41no—
389C2×D356—41no—
390C2×D356—41no—
391C2×D356—41no—
392C2×D356—41no—
393C2×D356—41no—
394C2×D356—41no—
395C2×C22⋊D89—22no—
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—
413C22×Dic89—22no—
414C22×Dic89—41no—
415C22×Dic89—41no—
416C22×Dic89C2411yescharacteristic
417C22×Dic89C2411yescharacteristic
418C22×Dic89C2411yescharacteristic
419C22×Dic89C2411yescharacteristic
420C22×Dic89C2411yescharacteristic
421C22×Dic89C2411yescharacteristic
422C22×Dic89C2411yescharacteristic
423C22×Dic89C2411yescharacteristic
424C22×Dic89C2411yescharacteristic
425C22×Dic89C2411yescharacteristic
426C22×Dic89C2411yescharacteristic
427C22×Dic89C2411yescharacteristic
428C2×C4×D89—22no—
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—41no—
441C2×C4×D89—41no—
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—416no—
449C2×C4×D89—41no—
450C2×C4×D89—41no—
451C2×C4×D89—41no—
452C2×C4×D89—41no—
453C2×C4×D89—41no—
454C2×C4×D89—41no—
455C2×C4×D89—41no—
456C2×C4×D89—41no—
457C2×C4×D89—41no—
458C2×C4×D89#4114yes—
459C4⋊Dic89—22no—
460C4⋊Dic89—41no—
461C4⋊Dic89—41no—
462C4⋊Dic89—41no—
463C4⋊Dic89—41no—
464#13083553—22no—
465#13083553—22no—
466#13083553—22no—
467#13083553—22no—
468#13083553—41no—
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—
482C22⋊Dic89—22no—
483C22⋊Dic89—22no—
484C22⋊Dic89—41no—
485C22⋊Dic89—41no—
486C22⋊Dic89—41no—
487C22⋊Dic89—41no—
488C22⋊Dic89—41no—
489C22⋊Dic89—41no—
490#13083551—22no—
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—22no—
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—
522C4×Dic89—22no—
523C4×Dic89—41no—
524C4×Dic89—41no—
525C4×Dic89—41no—
526C24×C89C2411yescharacteristic
527C24×C89C2411yescharacteristic
528C2×D4×C89—22no—
529C2×D4×C89—41no—
530C2×D4×C89—41no—
531C22×C4×C89—41no—
532C22×C4×C89—41no—
533C22×C4×C89—41no—
534C22×C4×C89—41no—
535C22×C4×C89—41no—
536C22×C4×C89—41no—
537C22×C4×C89C2411yescharacteristic
538C22×C4×C89C2411yescharacteristic
539C22×C4×C89C2411yescharacteristic
540C22×C4×C89C2411yescharacteristic
541C22×C4×C89C2411yescharacteristic
542C22×C4×C89C2411yescharacteristic
543C22×C4×C89C2411yescharacteristic
544C22×C4×C89C2411yescharacteristic
545C22×C4×C89C2411yescharacteristic
546C22×C4×C89C2411yescharacteristic
547C22×C4×C89C2411yescharacteristic
548C22×C4×C89C2411yescharacteristic
549C22×C4×C89C2411yescharacteristic
550C4⋊C4×C89—22no—
551C4⋊C4×C89—41no—
552C4⋊C4×C89—41no—
553C4⋊C4×C89—41no—
554C4⋊C4×C89—41no—
555C4⋊C4×C89—41no—
556C4⋊C4×C89—41no—
557C4⋊C4×C89—41no—
558C4⋊C4×C89—41no—
559C4⋊C4×C89—41no—
560C4⋊C4×C89—41no—
561C22⋊C4×C89—22no—
562C22⋊C4×C89—22no—
563C22⋊C4×C89—41no—
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—
571C42×C89—41no—
572C23×C89—21no—
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×C892−1+412yes—
586C23×C89C2511yescharacteristic
587C22×D89—21no—
588C22×D89—21no—
589C22×D89—21no—
590C22×D89—21no—
591C22×D89—28no—
592C22×D89—21no—
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—44no—
613C22×D89—44no—
614C22×D89—44no—
615C22×D89—44no—
616C22×D89—44no—
617C22×D89—44no—
618C22×D89C2×#4112yes—
619C22×D89H(5,𝔽2)12yes—
620C22×D89H(5,𝔽2)12yes—
621C22×D89H(5,𝔽2)12yes—
622D4×C89—82no—
623C2×C4×C89—21no—
624C2×C4×C89—21no—
625C2×C4×C89—21no—
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—44no—
662C2×C4×C89—82no—
663C2×C4×C89C2×#4112yes—
664C22⋊D89—44no—
665C22⋊D89—82no—
666C22⋊D89—82no—
667C22⋊D89—82no—
668C22⋊D89—82no—
669C22⋊D89—82no—
670C2×Dic89—21no—
671C2×Dic89—21no—
672C2×Dic89—21no—
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—44no—
705C2×Dic89C2×#4112yes—
706C2×Dic89H(5,𝔽2)12yes—
707D356—44no—
708D356—44no—
709D356—82no—
710D356—82no—
711D356—82no—
712C4×D89—44no—
713C4×D89—44no—
714C4×D89—44no—
715C4×D89—44no—
716C4×D89—44no—
717C4×D89—44no—
718C4×D89—82no—
719C4×D89—82no—
720C4×D89—82no—
721C4×D89—82no—
722C22×C89—22no—
723C22×C89—22no—
724C22×C89—22no—
725C22×C89—41no—
726C22×C89—41no—
727C22×C89—41no—
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×C89C22×#4111yescharacteristic
737C22×C89C2×H(5,𝔽2)11yescharacteristic
738C22×C89C2×H(5,𝔽2)11yescharacteristic
739C22×C89C2×H(5,𝔽2)11yescharacteristic
740C22×C89C2×H(5,𝔽2)11yescharacteristic
741C22×C89C2×2−1+411yescharacteristic
742C22×C89#58511yescharacteristic
743C2×D89—22no—
744C2×D89—22no—
745C2×D89—22no—
746C2×D89—22no—
747C2×D89—22no—
748C2×D89—22no—
749C2×D89—22no—
750C2×D89—22no—
751C2×D89—22no—
752C2×D89—416no—
753C2×D89—41no—
754C2×D89—41no—
755C2×D89—41no—
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#54014yes—
772C4×C89—22no—
773C4×C89—41no—
774C4×C89—41no—
775C4×C89—41no—
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—
785Dic89—22no—
786Dic89—22no—
787Dic89—41no—
788Dic89—41no—
789Dic89—41no—
790Dic89—41no—
791Dic89—41no—
792Dic89—41no—
793Dic89—41no—
794Dic89—41no—
795Dic89—41no—
796Dic89—41no—
797#36777—891nomaximal, Sylow
798C2×C89—42no—
799C2×C89—81no—
800C2×C89C2×#54011yescharacteristic
801C2×C89#349211yescharacteristic
802C2×C89#350511yescharacteristic
803C2×C89#353211yescharacteristic
804C2×C89#353411yescharacteristic
805C2×C89#353511yescharacteristic
806C2×C89#353611yescharacteristic
807D89—24no—
808D89—42no—
809D89—81no—
810D89—81no—
811#2849—891no—
812#2847—891no—
813#2780—891no—
814#2780D8911yescharacteristic, complemented
815#2768—891no—
816#2761—891no—
817#2753—891no—
818#2749—891no—
819#2748—891no—
820#2743—891no—
821#2738—891no—
822#2711—891no—
823#2707—891no—
824#2706—891no—
825#2701—891no—
826#2701—891no—
827#2688—891no—
828#2671—891no—
829#2623—891no—
830#2618—891no—
831#2539—891no—
832#2534—891no—
833#2442—891no—
834#2425—891no—
835#2424—891no—
836#2419—891no—
837#2418—891no—
838#2416—891no—
839#2325—891no—
840#2318—891no—
841C2×#385—891no—
842C89#3677711yescharacteristic, complemented, Sylow
843C24×C4—891no—
844C2×#125—891no—
845C2×#123—891no—
846C2×#123—891no—
847C2×#123—891no—
848C2×#123—891no—
849C2×#123—891no—
850C2×#123—891no—
851C2×#121—891no—
852C2×#121—891no—
853C2×#121—891no—
854C2×#121—891no—
855C2×#121—891no—
856C2×#121—891no—
857C2×#121—891no—
858C2×#120—891no—
859C2×#120—891no—
860C2×#120—891no—
861C2×C4×D4—891no—
862C2×C4×D4—891no—
863C2×C4×D4—891no—
864C22×C4⋊C4—891no—
865C22×C4⋊C4—891no—
866C22×C22⋊C4—891no—
867C22×C22⋊C4—891no—
868#400—891no—
869#400—891no—
870#400—891no—
871#400—891no—
872#400C2×D8911yescharacteristic, complemented
873#399—891no—
874#399—891no—
875#399—891no—
876#399—891no—
877#399C2×D8911yescharacteristic, complemented
878#398—891no—
879#398—891no—
880#398—891no—
881#398—891no—
882#398—891no—
883#398—891no—
884#398—891no—
885#398C2×D8911yescharacteristic, complemented
886#397—891no—
887#397—891no—
888#397—891no—
889#397—891no—
890#397—891no—
891#397—891no—
892#396—891no—
893#396—891no—
894#396—891no—
895#396—891no—
896#396—891no—
897#396—891no—
898#396—891no—
899#396C2×D8911yescharacteristic
900#396C2×D8911yescharacteristic
901#396C2×D8911yescharacteristic, complemented
902#394—891no—
903#394—891no—
904#394—891no—
905#394—891no—
906#394—891no—
907#394—891no—
908#394—891no—
909#394—891no—
910#394—891no—
911#394—891no—
912#394—891no—
913#392—891no—
914#392—891no—
915#392—891no—
916#390—891no—
917#390—891no—
918#390—891no—
919#390—891no—
920#390—891no—
921#390C2×D8911yescharacteristic
922#389—891no—
923#389—891no—
924#389—891no—
925#389C2×D8911yescharacteristic, complemented
926#388—891no—
927#388—891no—
928#388—891no—
929#388—891no—
930#388—891no—
931#388—891no—
932#388—891no—
933#388—891no—
934#388—891no—
935#388—891no—
936#387—891no—
937#387—891no—
938#387—891no—
939#387—891no—
940#387—891no—
941#387C2×D8911yescharacteristic, complemented
942#386—891no—
943#386—891no—
944#386—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#386C2×D8911yescharacteristic
960#386C2×D8911yescharacteristic
961#385—891no—
962#385—891no—
963#385—891no—
964#385—891no—
965#385—891no—
966#385—891no—
967#385—891no—
968#385—891no—
969#385—891no—
970#385—891no—
971#385—891no—
972#385—891no—
973#385—891no—
974#385—891no—
975#385C2×D8911yescharacteristic
976#385C2×D8911yescharacteristic
977#385C2×D8911yescharacteristic, complemented
978#383—891no—
979#382—891no—
980#382—891no—
981#381—891no—
982#381—891no—
983#381—891no—
984#381—891no—
985#381—891no—
986#380—891no—
987#380—891no—
988#380—891no—
989#380—891no—
990#380—891no—
991#380—891no—
992#380—891no—
993#380C2×D8911yescharacteristic, complemented
994#379—891no—
995C4×C22⋊C4—891no—
996C2×#95—891no—
997C2×#95—891no—
998C25—891no—
999C22×D4—891no—
1000C22×D4—891no—
1001C22×D4—891no—
1002C22×D4—891no—
1003C22×D4—891no—
1004C22×D4—891no—
1005C22×D4—891no—
1006C22×D4—891no—
1007C22×D4—891no—
1008C22×D4—891no—
1009C22×D4—891no—
1010C22×D4C22×D8911yescharacteristic
1011C23×C4—891no—
1012C23×C4—891no—
1013C23×C4—891no—
1014C23×C4—891no—
1015C23×C4—891no—
1016C23×C4—891no—
1017C23×C4—891no—
1018C23×C4—891no—
1019C23×C4—891no—
1020C23×C4—891no—
1021C23×C4—891no—
1022C23×C4—3562no—
1023C23×C4—3562no—
1024C23×C4—3562no—
1025C23×C4C22×D8911yescharacteristic
1026C23×C4C22×D8911yescharacteristic
1027#125—3562no—
1028#123—3562no—
1029#123—3562no—
1030#123—3562no—
1031#123—3562no—
1032#123—3562no—
1033#123—3562no—
1034#121—3562no—
1035#121—3562no—
1036#121—3562no—
1037#121—3562no—
1038#121—3562no—
1039#121—3562no—
1040#121—1784no—
1041#120—3562no—
1042#120—3562no—
1043#120—3562no—
1044C4×D4—3562no—
1045C4×D4—3562no—
1046C4×D4—1784no—
1047C2×C4⋊C4—891no—
1048C2×C4⋊C4—891no—
1049C2×C4⋊C4—891no—
1050C2×C4⋊C4—891no—
1051C2×C4⋊C4—891no—
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—3562no—
1071C2×C4⋊C4—3562no—
1072C2×C4⋊C4C22×D8911yescharacteristic
1073C2×C4⋊C4C22×D8911yescharacteristic
1074C2×C4⋊C4C22×D8911yescharacteristic
1075C2×C4⋊C4C22×D8911yescharacteristic
1076C2×C4⋊C4C22×D8911yescharacteristic
1077C2×C4⋊C4C22×D8911yescharacteristic
1078C2×C4⋊C4C22×D8911yescharacteristic
1079C2×C4⋊C4C22×D8911yescharacteristic
1080C2×C4⋊C4C22×D8911yescharacteristic
1081C2×C4⋊C4C22×D8911yescharacteristic
1082C2×C4⋊C4C22×D8911yescharacteristic
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—891no—
1123C2×C22⋊C4—3562no—
1124C2×C22⋊C4—1784no—
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×C22⋊C4C22×D8911yescharacteristic
1135C2×C42—891no—
1136C2×C42—891no—
1137C2×C42—891no—
1138C2×C42—891no—
1139C2×C42C22×D8911yescharacteristic
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#95—891no—
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
1180C24—891no—
1181C24—891no—
1182C24—891no—
1183C24—891no—
1184C24—3561no—
1185C24—3561no—
1186C24—1782no—
1187C24—1782no—
1188C24—1782no—
1189C24—1782no—
1190C24—1782no—
1191C24C23×D8911yescharacteristic
1192C24C23×D8911yescharacteristic
1193C2×D4—22no—
1194C2×D4—41no—
1195C2×D4—41no—
1196C2×D4—3561no—
1197C2×D4—3561no—
1198C2×D4—3561no—
1199C2×D4—3561no—
1200C2×D4—3561no—
1201C2×D4—3561no—
1202C2×D4—3561no—
1203C2×D4—3561no—
1204C2×D4—3561no—
1205C2×D4—3561no—
1206C2×D4—3561no—
1207C2×D4—3561no—
1208C2×D4—3561no—
1209C2×D4—3561no—
1210C2×D4—3561no—
1211C2×D4—3561no—
1212C2×D4—3561no—
1213C2×D4—1782no—
1214C2×D4—1782no—
1215C2×D4—1782no—
1216C2×D4—1782no—
1217C2×D4—1782no—
1218C2×D4—1782no—
1219C2×D4—1782no—
1220C2×D4—1782no—
1221C2×D4—1782no—
1222C2×D4—1782no—
1223C2×D4—1782no—
1224C2×D4—1782no—
1225C2×D4—1782no—
1226C2×D4—1782no—
1227C2×D4—1782no—
1228C2×D4—1782no—
1229C22×C4—41no—
1230C22×C4—41no—
1231C22×C4—41no—
1232C22×C4—41no—
1233C22×C4—41no—
1234C22×C4—41no—
1235C22×C4—891no—
1236C22×C4—891no—
1237C22×C4—894no—
1238C22×C4—891no—
1239C22×C4—891no—
1240C22×C4—891no—
1241C22×C4—891no—
1242C22×C4—891no—
1243C22×C4—891no—
1244C22×C4—891no—
1245C22×C4—891no—
1246C22×C4—891no—
1247C22×C4—891no—
1248C22×C4—3561no—
1249C22×C4—3561no—
1250C22×C4—3561no—
1251C22×C4—3561no—
1252C22×C4—3561no—
1253C22×C4—3561no—
1254C22×C4—3561no—
1255C22×C4—3561no—
1256C22×C4—3561no—
1257C22×C4—3561no—
1258C22×C4—3561no—
1259C22×C4—3561no—
1260C22×C4—3561no—
1261C22×C4—3561no—
1262C22×C4—3561no—
1263C22×C4—3561no—
1264C22×C4—3561no—
1265C22×C4—35616no—
1266C22×C4—3561no—
1267C22×C4—3561no—
1268C22×C4—1782no—
1269C22×C4—1782no—
1270C22×C4—1782no—
1271C22×C4—1782no—
1272C22×C4—1782no—
1273C22×C4—1782no—
1274C22×C4—1782no—
1275C22×C4—1782no—
1276C22×C4—1782no—
1277C22×C4—1782no—
1278C22×C4—1782no—
1279C22×C4—1782no—
1280C22×C4—1782no—
1281C22×C4C23×D8911yescharacteristic
1282C22×C4C23×D8911yescharacteristic
1283C22×C4C23×D8911yescharacteristic
1284C22×C4C23×D8911yescharacteristic
1285C22×C4C23×D8911yescharacteristic
1286C22×C4C23×D8911yescharacteristic
1287C22×C4C23×D8911yescharacteristic
1288C22×C4C23×D8911yescharacteristic
1289C22×C4C23×D8911yescharacteristic
1290C22×C4C23×D8911yescharacteristic
1291C22×C4C23×D8911yescharacteristic
1292C22×C4C23×D8911yescharacteristic
1293C22×C4C23×D8911yescharacteristic
1294C4⋊C4—22no—
1295C4⋊C4—41no—
1296C4⋊C4—41no—
1297C4⋊C4—41no—
1298C4⋊C4—41no—
1299C4⋊C4—41no—
1300C4⋊C4—41no—
1301C4⋊C4—41no—
1302C4⋊C4—41no—
1303C4⋊C4—41no—
1304C4⋊C4—41no—
1305C4⋊C4—3561no—
1306C4⋊C4—3561no—
1307C4⋊C4—3561no—
1308C4⋊C4—3561no—
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—1782no—
1324C4⋊C4—1782no—
1325C4⋊C4—1782no—
1326C4⋊C4—1782no—
1327C4⋊C4—1782no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—41no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—3561no—
1339C22⋊C4—3561no—
1340C22⋊C4—3561no—
1341C22⋊C4—3561no—
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—1782no—
1364C22⋊C4—1782no—
1365C22⋊C4—1782no—
1366C22⋊C4—1782no—
1367C22⋊C4—1782no—
1368C22⋊C4—1782no—
1369C22⋊C4—1782no—
1370C22⋊C4—1782no—
1371C22⋊C4—1782no—
1372C22⋊C4—1782no—
1373C22⋊C4—1782no—
1374C22⋊C4—1782no—
1375C22⋊C4—1782no—
1376C22⋊C4—1782no—
1377C22⋊C4—1782no—
1378C42—41no—
1379C42—3561no—
1380C42—3561no—
1381C42—3561no—
1382C42—1782no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—892no—
1397C23—892no—
1398C23—892no—
1399C23—892no—
1400C23—3564no—
1401C23—3564no—
1402C23—3564no—
1403C23—3564no—
1404C23—3564no—
1405C23—3564no—
1406C23—1788no—
1407C23—1781no—
1408C23—1781no—
1409C23—1781no—
1410C23—1781no—
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#1566806012yes—
1432C23C24×D8911yescharacteristic
1433D4—82no—
1434D4—3564no—
1435D4—3564no—
1436D4—3564no—
1437D4—7122no—
1438D4—7122no—
1439D4—7122no—
1440D4—7122no—
1441D4—7122no—
1442D4—7122no—
1443D4—7122no—
1444D4—7122no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
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—44no—
1484C2×C4—82no—
1485C2×C4—892no—
1486C2×C4—892no—
1487C2×C4—3564no—
1488C2×C4—3564no—
1489C2×C4—3564no—
1490C2×C4—3564no—
1491C2×C4—3564no—
1492C2×C4—3564no—
1493C2×C4—3564no—
1494C2×C4—1781no—
1495C2×C4—1781no—
1496C2×C4—1781no—
1497C2×C4—1781no—
1498C2×C4—1781no—
1499C2×C4—1781no—
1500C2×C4—1781no—
1501C2×C4—1781no—
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—7122no—
1529C2×C4—7122no—
1530C2×C4—7122no—
1531C2×C4—7122no—
1532C2×C4#41×D8912yes—
1533C22—22no—
1534C22—22no—
1535C22—22no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—894no—
1548C22—35616no—
1549C22—3561no—
1550C22—3561no—
1551C22—3561no—
1552C22—3561no—
1553C22—3561no—
1554C22—3561no—
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—1782no—
1568C22—1782no—
1569C22—1782no—
1570C22—1782no—
1571C22—1782no—
1572C22—1782no—
1573C22—1782no—
1574C22—1782no—
1575C22—1782no—
1576C22C2×#41×D8911yescharacteristic
1577C22H(5,𝔽2)×D8911yescharacteristic
1578C22H(5,𝔽2)×D8911yescharacteristic
1579C22H(5,𝔽2)×D8911yescharacteristic
1580C22H(5,𝔽2)×D8911yescharacteristic
1581C22C2×#1566806011yescharacteristic
1582C22#1915243411yescharacteristic
1583C4—22no—
1584C4—41no—
1585C4—41no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—3561no—
1597C4—3561no—
1598C4—3561no—
1599C4—3561no—
1600C4—3561no—
1601C4—3561no—
1602C4—3561no—
1603C4—3561no—
1604C4—3561no—
1605C4—3561no—
1606C4—1782no—
1607C4—1782no—
1608C2—42no—
1609C2—81no—
1610C2—3562no—
1611C2—1784no—
1612C2—7121no—
1613C2—7121no—
1614C2#540×D8911yescharacteristic
1615C2#2603396011yescharacteristic
1616C2#2603408511yescharacteristic
1617C2#2603440511yescharacteristic
1618C2#2603444111yescharacteristic
1619C2#2603445611yescharacteristic
1620C2#2603447811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D89
commutator, socle, cosocleC23×C89C25
FittingC89×#2780C2
hypercenter#2780D89
hypocenterC89#36777
LCSG ▷ C23×C89 ▷ C89
UCSC1 ◁ C23 ◁ #2780

Complements

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

NH ≅ G/Ntype
1. #26028547C2semidirect
2. #26028533C2semidirect
3. #26027893C2semidirect
4. #26027739C2semidirect
5. #26027638C2semidirect
6. #26027530C2semidirect
7. #26027478C2semidirect
8. #26027461C2semidirect
9. #26027384C2semidirect
10. #26027327C2semidirect
11. #26027009C2semidirect
12. #26026956C2semidirect
13. #26026940C2semidirect
14. #26026866C2semidirect
15. #26026860C2semidirect
16. #26026685C2semidirect
17. #26026493C2semidirect
18. #26026037C2semidirect
19. #26025995C2semidirect
20. #26025181C2semidirect
21. #26025143C2semidirect
22. #26023978C2semidirect
23. #26023800C2semidirect
24. #26023783C2semidirect
25. #26023732C2semidirect
26. #26023713C2semidirect
27. #26023687C2semidirect
28. #26022949C2semidirect
29. #26022884C2semidirect
30. #385×D89C2semidirect
31. C89×#2780C2semidirect
33. C2×#15668004C22semidirect
45. C2×#15667985C22semidirect
57. #19151539C22semidirect
58. #19151539C22semidirect
59. #19151538C22semidirect
60. #19151536C22semidirect
63. #19151534C22semidirect
65. #19151531C22semidirect
66. #19151531C22semidirect
67. #19151529C22semidirect
68. #19151529C22semidirect
69. #19151529C22semidirect
70. #19151529C22semidirect
71. #19151529C22semidirect
73. #19151527C22semidirect
74. #19151527C22semidirect
75. #19151526C22semidirect
76. #19151526C22semidirect
77. #19151526C22semidirect
78. #19151522C22semidirect
79. #19151522C22semidirect
81. #19151520C22semidirect
82. #19151520C22semidirect
83. #19151520C22semidirect
84. #19151520C22semidirect
86. #19151516C22semidirect
89. #19151515C22semidirect
90. #19151515C22semidirect
93. #19151514C22semidirect
94. #19151513C22semidirect
103. #19151498C22semidirect
104. #19151495C22semidirect
105. #19151494C22semidirect
106. #19151493C22semidirect
109. #19151491C22semidirect
110. #19151490C22semidirect
111. #19151489C22semidirect
115. #19151487C22semidirect
116. #19151487C22semidirect
117. #19151484C22semidirect
118. #19151483C22semidirect
119. #19151480C22semidirect
120. #19151479C22semidirect
121. #19151479C22semidirect
124. #19151477C22semidirect
125. #19151477C22semidirect
138. #19151474C22semidirect
143. #19151472C22semidirect
152. #19151469C22semidirect
153. #19151465C22semidirect
154. #19151463C22semidirect
155. #19151462C22semidirect
159. #19151460C22semidirect
160. #19151460C22semidirect
164. #19151457C22semidirect
167. #19151455C22semidirect
172. #400×C89C22semidirect
173. #399×C89C22semidirect
174. #398×C89C22semidirect
177. #396×C89C22semidirect
179. #389×C89C22semidirect
180. #387×C89C22semidirect
185. #385×C89C22semidirect
186. #380×C89C22semidirect
814. #2780D89semidirect
842. C89#36777semidirect
872. #400C2×D89semidirect
877. #399C2×D89semidirect
885. #398C2×D89semidirect
901. #396C2×D89semidirect
925. #389C2×D89semidirect
941. #387C2×D89semidirect
977. #385C2×D89semidirect
993. #380C2×D89semidirect

Maximal subgroups

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

subgroupindex
#260285472
#260285332
#260278932
#260277392
#260276382
#260275302
#260274782
#260274612
#260273842
#260273272
#260270092
#260269562
#260269402
#260268662
#260268602
#260266852
#260264932
#260260372
#260259952
#260251812
#260251432
#260239782
#260238002
#260237832
#260237322
#260237132
#260236872
#260229492
#260228842
#385×D892
C89×#27802
#3677789