Finite Group Databasebeta

← #36768599

Subgroups — #36768599

Order 22784.

1994 conjugacy classes of subgroups.

The subgroup lattice has 1600 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#26028581C211yesmaximal, characteristic, complemented
2#26028571C211yesmaximal, characteristic, complemented
3#26028114C211yesmaximal, characteristic, complemented
4#26027883C211yesmaximal, characteristic, complemented
5#26027879C211yesmaximal, characteristic, complemented
6#26027873C211yesmaximal, characteristic, complemented
7#26027766C211yesmaximal, characteristic, complemented
8#26027680C211yesmaximal, characteristic, complemented
9#26027528C211yesmaximal, characteristic, complemented
10#26027512C211yesmaximal, characteristic, complemented
11#26027491C211yesmaximal, characteristic, complemented
12#26027373C211yesmaximal, characteristic, complemented
13#26027297C211yesmaximal, characteristic, complemented
14#26027295C211yesmaximal, characteristic, complemented
15#26026886C211yesmaximal, characteristic, complemented
16#26026816C211yesmaximal, characteristic, complemented
17#26026802C211yesmaximal, characteristic, complemented
18#26026649C211yesmaximal, characteristic, complemented
19#26026208C211yesmaximal, characteristic, complemented
20#26026185C211yesmaximal, characteristic, complemented
21#26024578C211yesmaximal, characteristic, complemented
22#26024515C211yesmaximal, characteristic, complemented
23#26023981C211yesmaximal, characteristic, complemented
24#26023917C211yesmaximal, characteristic, complemented
25#26023644C211yesmaximal, characteristic, complemented
26#26023623C211yesmaximal, characteristic
27#26023576C211yesmaximal, characteristic, complemented
28#26022906C211yesmaximal, characteristic, complemented
29#26022826C211yesmaximal, characteristic, complemented
30C2×#19151487C211yesmaximal, characteristic, complemented
31C89×#2425C211yesmaximal, characteristic, complemented
32C22×D4×D89C2211yescharacteristic
33C2×#15668005C2211yescharacteristic, complemented
34C2×#15667995C2211yescharacteristic
35C2×#15667995C2211yescharacteristic, complemented
36C2×#15667991C2211yescharacteristic, complemented
37C2×#15667990C2211yescharacteristic, complemented
38C2×#15667984C2211yescharacteristic
39C2×#15667980C2211yescharacteristic
40C2×#15667980C2211yescharacteristic
41C22×#13083553C2211yescharacteristic, complemented
42C22×#13083551C2211yescharacteristic
43C22×#13083551C2211yescharacteristic
44C22×#13083551C2211yescharacteristic
45C2×C22⋊C4×D89C2211yescharacteristic
46C22×C4×Dic89C2211yescharacteristic, complemented
47C89⋊#401C2211yescharacteristic, complemented
48#19151540C2211yescharacteristic, complemented
49#19151540C2211yescharacteristic, complemented
50#19151540C2211yescharacteristic, complemented
51#19151539C2211yescharacteristic, complemented
52#19151539C2211yescharacteristic, complemented
53#19151537C2211yescharacteristic, complemented
54#19151536C2211yescharacteristic, complemented
55#19151536C2211yescharacteristic, complemented
56#19151536C2211yescharacteristic, complemented
57#19151533C2211yescharacteristic
58#19151533C2211yescharacteristic, complemented
59#19151529C2211yescharacteristic, complemented
60#19151527C2211yescharacteristic, complemented
61#19151527C2211yescharacteristic, complemented
62#19151526C2211yescharacteristic, complemented
63#19151526C2211yescharacteristic, complemented
64#19151525C2211yescharacteristic, complemented
65#19151524C2211yescharacteristic
66#19151524C2211yescharacteristic
67#19151524C2211yescharacteristic, complemented
68#19151523C2211yescharacteristic, complemented
69#19151523C2211yescharacteristic, complemented
70#19151522C2211yescharacteristic
71#19151521C2211yescharacteristic, complemented
72#19151520C2211yescharacteristic
73#19151520C2211yescharacteristic, complemented
74#19151515C2211yescharacteristic
75#19151515C2211yescharacteristic
76#19151515C2211yescharacteristic
77#19151514C2211yescharacteristic
78#19151514C2211yescharacteristic
79#19151513C2211yescharacteristic
80#19151513C2211yescharacteristic
81#19151513C2211yescharacteristic
82#19151513C2211yescharacteristic, complemented
83#19151512C2211yescharacteristic, complemented
84#19151512C2211yescharacteristic, complemented
85#19151511C2211yescharacteristic
86#19151511C2211yescharacteristic, complemented
87#19151510C2211yescharacteristic, complemented
88#19151510C2211yescharacteristic, complemented
89#19151507C2211yescharacteristic
90#19151506C2211yescharacteristic
91#19151502C2211yescharacteristic, complemented
92#19151498C2211yescharacteristic
93#19151498C2211yescharacteristic, complemented
94#19151498C2211yescharacteristic, complemented
95#19151498C2211yescharacteristic, complemented
96#19151493C2211yescharacteristic, complemented
97#19151493C2211yescharacteristic, complemented
98#19151492C2211yescharacteristic, complemented
99#19151492C2211yescharacteristic, complemented
100#19151492C2211yescharacteristic, complemented
101#19151490C2211yescharacteristic, complemented
102#19151489C2211yescharacteristic
103#19151489C2211yescharacteristic, complemented
104#19151489C2211yescharacteristic, complemented
105#19151488C2211yescharacteristic
106#19151488C2211yescharacteristic, complemented
107#19151488C2211yescharacteristic, complemented
108#19151488C2211yescharacteristic, complemented
109#19151487C2211yescharacteristic
110#19151487C2211yescharacteristic
111#19151487C2211yescharacteristic
112#19151487C2211yescharacteristic
113#19151487C2211yescharacteristic, complemented
114#19151487C2211yescharacteristic, complemented
115#19151487C2211yescharacteristic, complemented
116#19151487C2211yescharacteristic, complemented
117#19151487C2211yescharacteristic, complemented
118#19151486C2211yescharacteristic, complemented
119#19151486C2211yescharacteristic, complemented
120#19151486C2211yescharacteristic, complemented
121#19151486C2211yescharacteristic, complemented
122#19151483C2211yescharacteristic, complemented
123#19151482C2211yescharacteristic, complemented
124#19151480C2211yescharacteristic, complemented
125#19151479C2211yescharacteristic, complemented
126#19151479C2211yescharacteristic, complemented
127#19151479C2211yescharacteristic, complemented
128#19151479C2211yescharacteristic, complemented
129#19151478C2211yescharacteristic
130#19151478C2211yescharacteristic
131#19151478C2211yescharacteristic
132#19151478C2211yescharacteristic, complemented
133#19151478C2211yescharacteristic, complemented
134#19151477C2211yescharacteristic
135#19151477C2211yescharacteristic
136#19151477C2211yescharacteristic
137#19151477C2211yescharacteristic, complemented
138#19151476C2211yescharacteristic
139#19151476C2211yescharacteristic
140#19151475C2211yescharacteristic
141#19151475C2211yescharacteristic
142#19151474C2211yescharacteristic
143#19151474C2211yescharacteristic
144#19151474C2211yescharacteristic
145#19151474C2211yescharacteristic, complemented
146#19151474C2211yescharacteristic, complemented
147#19151473C2211yescharacteristic, complemented
148#19151472C2211yescharacteristic, complemented
149#19151471C2211yescharacteristic, complemented
150#19151470C2211yescharacteristic, complemented
151#19151470C2211yescharacteristic, complemented
152#19151469C2211yescharacteristic
153#19151469C2211yescharacteristic
154#19151469C2211yescharacteristic
155#19151469C2211yescharacteristic, complemented
156#19151462C2211yescharacteristic, complemented
157#19151461C2211yescharacteristic, complemented
158#19151460C2211yescharacteristic
159#19151460C2211yescharacteristic
160#19151457C2211yescharacteristic, complemented
161#19151456C2211yescharacteristic, complemented
162#19151455C2211yescharacteristic, complemented
163#19151455C2211yescharacteristic, complemented
164#19151453C2211yescharacteristic
165#19151453C2211yescharacteristic
166#19151453C2211yescharacteristic
167#19151453C2211yescharacteristic
168#19151453C2211yescharacteristic
169#19151453C2211yescharacteristic
170C4×C22⋊Dic89C2211yescharacteristic, complemented
171C2×#15667919C2211yescharacteristic, complemented
172C2×#123×C89C2211yescharacteristic
173C2×#123×C89C2211yescharacteristic, complemented
174C2×#121×C89C2211yescharacteristic
175C2×C4×D4×C89C2211yescharacteristic, complemented
176#398×C89C2211yescharacteristic, complemented
177#397×C89C2211yescharacteristic, complemented
178#396×C89C2211yescharacteristic, complemented
179#394×C89C2211yescharacteristic, complemented
180#389×C89C2211yescharacteristic, complemented
181#388×C89C2211yescharacteristic, complemented
182#386×C89C2211yescharacteristic
183#386×C89C2211yescharacteristic, complemented
184#385×C89C2211yescharacteristic, complemented
185#380×C89C2211yescharacteristic, complemented
186C2×#95×C89C2211yescharacteristic, complemented
187C24×D89C2311yescharacteristic
188C24×D89C2311yescharacteristic
189C22×Dic178C2311yescharacteristic
190C22×D356C2311yescharacteristic
191C22×C22⋊D89C2311yescharacteristic
192C22×C22⋊D89C2311yescharacteristic
193C22×C22⋊D89C2311yescharacteristic
194C22×C22⋊D89C2311yescharacteristic
195C22×C22⋊D89C2311yescharacteristic
196C2×D4×D89—24no—
197C2×D4×D89—42no—
198C2×D4×D89—42no—
199C23×Dic89C2311yescharacteristic
200C23×Dic89C2311yescharacteristic
201C23×Dic89C2311yescharacteristic
202C22×C4×D89C2311yescharacteristic
203C22×C4×D89C2311yescharacteristic
204C22×C4×D89C2311yescharacteristic
205#15668005—42no—
206#15667995—42no—
207#15667995—42no—
208#15667991—42no—
209#15667990—42no—
210#15667984—42no—
211#15667980—24no—
212#15667980—42no—
213C2×C4⋊Dic89C2311yescharacteristic
214C2×C4⋊Dic89C2311yescharacteristic
215C2×C4⋊Dic89C2311yescharacteristic
216C2×#13083553—42no—
217C2×#13083553C2311yescharacteristic
218C2×#13083553C2311yescharacteristic
219C2×#13083553C2311yescharacteristic
220C2×#13083553C2311yescharacteristic
221C2×#13083553C2311yescharacteristic
222C2×#13083553C2311yescharacteristic
223C2×#13083553C2311yescharacteristic
224C2×#13083553C2311yescharacteristic
225C2×#13083553C2311yescharacteristic
226C2×#13083553C2311yescharacteristic
227C2×#13083553C2311yescharacteristic
228C2×#13083553C2311yescharacteristic
229C2×#13083553C2311yescharacteristic
230C2×#13083553C2311yescharacteristic
231C2×#13083553C2311yescharacteristic
232C2×C22⋊Dic89C2311yescharacteristic
233C2×C22⋊Dic89C2311yescharacteristic
234C2×C22⋊Dic89C2311yescharacteristic
235C2×C22⋊Dic89C2311yescharacteristic
236C2×C22⋊Dic89C2311yescharacteristic
237C2×C22⋊Dic89C2311yescharacteristic
238C2×C22⋊Dic89C2311yescharacteristic
239C2×C22⋊Dic89C2311yescharacteristic
240C2×C22⋊Dic89C2311yescharacteristic
241C2×C22⋊Dic89C2311yescharacteristic
242C2×C22⋊Dic89C2311yescharacteristic
243C2×C22⋊Dic89C2311yescharacteristic
244C2×C22⋊Dic89C2311yescharacteristic
245C2×C22⋊Dic89C2311yescharacteristic
246C2×#13083551—24no—
247C2×#13083551—42no—
248C2×#13083551—42no—
249C2×#13083551C2311yescharacteristic
250C2×#13083551C2311yescharacteristic
251C2×#13083551C2311yescharacteristic
252C2×#13083551C2311yescharacteristic
253C2×#13083551C2311yescharacteristic
254C2×#13083551C2311yescharacteristic
255C2×#13083551C2311yescharacteristic
256C2×#13083551C2311yescharacteristic
257C2×#13083551C2311yescharacteristic
258C2×#13083551C2311yescharacteristic
259C2×#13083551C2311yescharacteristic
260C2×#13083551C2311yescharacteristic
261C2×#13083551C2311yescharacteristic
262C2×#13083551C2311yescharacteristic
263C2×#13083551C2311yescharacteristic
264C2×#13083551C2311yescharacteristic
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
280C22⋊C4×D89—42no—
281C2×C4×Dic89—42no—
282C2×C4×Dic89C2311yescharacteristic
283C2×C4×Dic89C2311yescharacteristic
284C2×C4×Dic89C2311yescharacteristic
285C2×C4×Dic89C2311yescharacteristic
286C2×C4×Dic89C2311yescharacteristic
287C2×C4×Dic89C2311yescharacteristic
288#15667919C2311yescharacteristic
289#15667919C2311yescharacteristic
290#15667919C2311yescharacteristic
291#15667919C2311yescharacteristic
292#15667919C2311yescharacteristic
293#15667919C2311yescharacteristic
294#15667919C2311yescharacteristic
295#15667919C2311yescharacteristic
296#15667919C2311yescharacteristic
297#15667919C2311yescharacteristic
298#15667919C2311yescharacteristic
299#15667919C2311yescharacteristic
300#15667919C2311yescharacteristic
301#15667919C2311yescharacteristic
302#15667919C2311yescharacteristic
303#15667919C2311yescharacteristic
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
324C22×D4×C89C2311yescharacteristic
325C22×D4×C89C2311yescharacteristic
326C22×D4×C89C2311yescharacteristic
327C23×C4×C89C2311yescharacteristic
328C23×C4×C89C2311yescharacteristic
329C23×C4×C89C2311yescharacteristic
330C23×C4×C89C2311yescharacteristic
331#123×C89—42no—
332#123×C89—42no—
333#121×C89—42no—
334C4×D4×C89—42no—
335C2×C4⋊C4×C89C2311yescharacteristic
336C2×C4⋊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×C22⋊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
363C23×D89—22no—
364C23×D89—22no—
365C23×D89—22no—
366C23×D89—41no—
367C23×D89—41no—
368C23×D89—41no—
369C23×D89—41no—
370C23×D89—41no—
371C23×D89—41no—
372C23×D89—41no—
373C23×D89—41no—
374C23×D89—41no—
375C23×D89—41no—
376C23×D89#4114yes—
377C23×D89C2411yescharacteristic
378C23×D89C2411yescharacteristic
379C23×D89C2411yescharacteristic
380C2×Dic178—41no—
381C2×Dic178—41no—
382C2×Dic178—41no—
383C2×D356—22no—
384C2×D356—41no—
385C2×D356—41no—
386C2×C22⋊D89—22no—
387C2×C22⋊D89—22no—
388C2×C22⋊D89—22no—
389C2×C22⋊D89—22no—
390C2×C22⋊D89—22no—
391C2×C22⋊D89—22no—
392C2×C22⋊D89—22no—
393C2×C22⋊D89—41no—
394C2×C22⋊D89—41no—
395C2×C22⋊D89—41no—
396C2×C22⋊D89—41no—
397C2×C22⋊D89—41no—
398C2×C22⋊D89—41no—
399C2×C22⋊D89—41no—
400C2×C22⋊D89—41no—
401D4×D89—416no—
402C22×Dic89—22no—
403C22×Dic89—22no—
404C22×Dic89—22no—
405C22×Dic89—22no—
406C22×Dic89—41no—
407C22×Dic89—41no—
408C22×Dic89—41no—
409C22×Dic89—41no—
410C22×Dic89—41no—
411C22×Dic89C2411yescharacteristic
412C22×Dic89C2411yescharacteristic
413C22×Dic89C2411yescharacteristic
414C22×Dic89C2411yescharacteristic
415C22×Dic89C2411yescharacteristic
416C22×Dic89C2411yescharacteristic
417C22×Dic89C2411yescharacteristic
418C22×Dic89C2411yescharacteristic
419C22×Dic89C2411yescharacteristic
420C22×Dic89C2411yescharacteristic
421C22×Dic89C2411yescharacteristic
422C22×Dic89C2411yescharacteristic
423C22×Dic89C2411yescharacteristic
424C2×C4×D89—22no—
425C2×C4×D89—41no—
426C2×C4×D89—41no—
427C2×C4×D89—41no—
428C2×C4×D89—41no—
429C2×C4×D89—41no—
430C2×C4×D89—41no—
431C2×C4×D89—41no—
432C2×C4×D89—41no—
433C4⋊Dic89—41no—
434C4⋊Dic89—41no—
435C4⋊Dic89—41no—
436#13083553—22no—
437#13083553—22no—
438#13083553—22no—
439#13083553—22no—
440#13083553—41no—
441#13083553—41no—
442#13083553—41no—
443#13083553—41no—
444#13083553—41no—
445#13083553—41no—
446#13083553—41no—
447#13083553—41no—
448#13083553—41no—
449#13083553—41no—
450#13083553—41no—
451C22⋊Dic89—22no—
452C22⋊Dic89—22no—
453C22⋊Dic89—22no—
454C22⋊Dic89—22no—
455C22⋊Dic89—41no—
456C22⋊Dic89—41no—
457C22⋊Dic89—41no—
458C22⋊Dic89—41no—
459C22⋊Dic89—41no—
460C22⋊Dic89—41no—
461C22⋊Dic89—41no—
462C22⋊Dic89—41no—
463C22⋊Dic89—41no—
464C22⋊Dic89—41no—
465#13083551—22no—
466#13083551—22no—
467#13083551—22no—
468#13083551—22no—
469#13083551—22no—
470#13083551—22no—
471#13083551—22no—
472#13083551—22no—
473#13083551—41no—
474#13083551—41no—
475#13083551—41no—
476#13083551—41no—
477#13083551—41no—
478#13083551—41no—
479#13083551—41no—
480#13083551—41no—
481#13083551—41no—
482#13083551—41no—
483#13083551—41no—
484#13083551—41no—
485#13083551—41no—
486#13083551—41no—
487#13083551—41no—
488#13083551—41no—
489#13083551—41no—
490#13083551—41no—
491#13083551—41no—
492#13083551—41no—
493#13083551—41no—
494#13083551—41no—
495#13083551—41no—
496C4×Dic89—41no—
497C4×Dic89—41no—
498C4×Dic89—41no—
499C4×Dic89—41no—
500C4×Dic89—41no—
501C4×Dic89—41no—
502C24×C89C2411yescharacteristic
503C24×C89C2411yescharacteristic
504C24×C89C2411yescharacteristic
505C2×D4×C89—22no—
506C2×D4×C89—22no—
507C2×D4×C89—22no—
508C2×D4×C89—22no—
509C2×D4×C89—22no—
510C2×D4×C89—22no—
511C2×D4×C89—41no—
512C2×D4×C89—41no—
513C2×D4×C89—41no—
514C22×C4×C89—22no—
515C22×C4×C89—22no—
516C22×C4×C89—22no—
517C22×C4×C89—22no—
518C22×C4×C89—22no—
519C22×C4×C89—41no—
520C22×C4×C89—41no—
521C22×C4×C89—41no—
522C22×C4×C89—41no—
523C22×C4×C89—41no—
524C22×C4×C89—41no—
525C22×C4×C89—41no—
526C22×C4×C89C2411yescharacteristic
527C22×C4×C89C2411yescharacteristic
528C22×C4×C89C2411yescharacteristic
529C22×C4×C89C2411yescharacteristic
530C22×C4×C89C2411yescharacteristic
531C22×C4×C89C2411yescharacteristic
532C22×C4×C89C2411yescharacteristic
533C22×C4×C89C2411yescharacteristic
534C22×C4×C89C2411yescharacteristic
535C22×C4×C89C2411yescharacteristic
536C22×C4×C89C2411yescharacteristic
537C22×C4×C89C2411yescharacteristic
538C4⋊C4×C89—41no—
539C4⋊C4×C89—41no—
540C4⋊C4×C89—41no—
541C4⋊C4×C89—41no—
542C4⋊C4×C89—41no—
543C4⋊C4×C89—41no—
544C4⋊C4×C89—41no—
545C4⋊C4×C89—41no—
546C22⋊C4×C89—22no—
547C22⋊C4×C89—22no—
548C22⋊C4×C89—41no—
549C22⋊C4×C89—41no—
550C22⋊C4×C89—41no—
551C22⋊C4×C89—41no—
552C22⋊C4×C89—41no—
553C22⋊C4×C89—41no—
554C22⋊C4×C89—41no—
555C22⋊C4×C89—41no—
556C22⋊C4×C89—41no—
557C42×C89—41no—
558C23×C89—21no—
559C23×C89—21no—
560C23×C89—21no—
561C23×C89—21no—
562C23×C89—21no—
563C23×C89—21no—
564C23×C89—21no—
565C23×C89—21no—
566C23×C89—21no—
567C23×C89—21no—
568C23×C89—21no—
569C23×C89—21no—
570C23×C89—21no—
571C23×C89—21no—
572C23×C89—21no—
573C23×C89—21no—
574C23×C89—21no—
575C23×C89—21no—
576C23×C89C2×#4112yes—
577C23×C89H(5,𝔽2)12yes—
578C23×C89H(5,𝔽2)12yes—
579C23×C89C2511yescharacteristic
580C22×D89—21no—
581C22×D89—21no—
582C22×D89—21no—
583C22×D89—21no—
584C22×D89—21no—
585C22×D89—21no—
586C22×D89—21no—
587C22×D89—21no—
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—44no—
601C22×D89—44no—
602C22×D89—44no—
603C22×D89—82no—
604C22×D89—82no—
605C22×D89—82no—
606C22×D89—82no—
607C22×D89—82no—
608C22×D89—82no—
609C22×D89—82no—
610C22×D89—82no—
611C22×D89—82no—
612C22×D89—82no—
613C22×D89C2×#4112yes—
614C22×D89C2×#4112yes—
615D4×C89—44no—
616D4×C89—44no—
617D4×C89—82no—
618C2×C4×C89—21no—
619C2×C4×C89—21no—
620C2×C4×C89—21no—
621C2×C4×C89—21no—
622C2×C4×C89—21no—
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—44no—
655C2×C4×C89—82no—
656C2×C4×C89—82no—
657C2×C4×C89—82no—
658C22⋊D89—44no—
659C22⋊D89—44no—
660C22⋊D89—82no—
661C22⋊D89—82no—
662C22⋊D89—82no—
663C2×Dic89—21no—
664C2×Dic89—21no—
665C2×Dic89—21no—
666C2×Dic89—21no—
667C2×Dic89—21no—
668C2×Dic89—21no—
669C2×Dic89—21no—
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—44no—
702C2×Dic89—44no—
703C2×Dic89—44no—
704C2×Dic89H(5,𝔽2)12yes—
705D356—44no—
706C4×D89—44no—
707C4×D89—82no—
708C4×D89—82no—
709Dic178—82no—
710C22×C89—22no—
711C22×C89—22no—
712C22×C89—22no—
713C22×C89—22no—
714C22×C89—22no—
715C22×C89—22no—
716C22×C89—41no—
717C22×C89—41no—
718C22×C89—41no—
719C22×C89—41no—
720C22×C89—41no—
721C22×C89—41no—
722C22×C89—41no—
723C22×C89—41no—
724C22×C89—41no—
725C22×C89—41no—
726C22×C89—41no—
727C22×C89—41no—
728C22×C89—41no—
729C22×C89—41no—
730C22×C89#53814yes—
731C22×C89C22×#4111yescharacteristic
732C22×C89C2×H(5,𝔽2)11yescharacteristic
733C22×C89C2×H(5,𝔽2)11yescharacteristic
734C22×C89C2×H(5,𝔽2)11yescharacteristic
735C22×C89#58511yescharacteristic
736C22×C89#58511yescharacteristic
737C22×C89#58511yescharacteristic
738C2×D89—22no—
739C2×D89—22no—
740C2×D89—22no—
741C2×D89—22no—
742C2×D89—22no—
743C2×D89—22no—
744C2×D89—41no—
745C2×D89—41no—
746C2×D89—41no—
747C2×D89—41no—
748C2×D89—41no—
749C2×D89—41no—
750C2×D89—41no—
751C2×D89—41no—
752C2×D89—41no—
753C2×D89—41no—
754C2×D89—41no—
755C2×D89—41no—
756C2×D89—41no—
757C2×D89—41no—
758C2×D89—41no—
759C2×D89—88no—
760C2×D89—88no—
761C4×C89—41no—
762C4×C89—41no—
763C4×C89—41no—
764C4×C89—41no—
765C4×C89—41no—
766C4×C89—41no—
767C4×C89—41no—
768C4×C89—41no—
769C4×C89—41no—
770C4×C89—41no—
771C4×C89—41no—
772C4×C89—41no—
773Dic89—22no—
774Dic89—41no—
775Dic89—41no—
776Dic89—41no—
777Dic89—41no—
778Dic89—41no—
779Dic89—41no—
780Dic89—41no—
781Dic89—41no—
782Dic89—41no—
783Dic89—41no—
784Dic89—41no—
785Dic89—41no—
786#36986—891nomaximal, Sylow
787C2×C89—24no—
788C2×C89—81no—
789C2×C89—81no—
790C2×C89C2×#53811yescharacteristic
791C2×C89#349111yescharacteristic
792C2×C89#350511yescharacteristic
793C2×C89#353311yescharacteristic
794C2×C89#353411yescharacteristic
795C2×C89#355811yescharacteristic
796C2×C89#356011yescharacteristic
797D89—42no—
798D89—42no—
799D89—81no—
800#2854—891no—
801#2853—891no—
802#2797—891no—
803#2779—891no—
804#2779—891no—
805#2778—891no—
806#2771—891no—
807#2765—891no—
808#2753—891no—
809#2751—891no—
810#2750—891no—
811#2741—891no—
812#2736—891no—
813#2735—891no—
814#2702—891no—
815#2697—891no—
816#2696—891no—
817#2685—891no—
818#2643—891no—
819#2639—891no—
820#2488—891no—
821#2481—891no—
822#2443—891no—
823#2437—891no—
824#2425D8911yescharacteristic, complemented
825#2412—891no—
826#2410—891no—
827#2405—891no—
828#2321—891no—
829#2308—891no—
830C2×#388—891no—
831C89#3698611yescharacteristic, complemented, Sylow
832C23×D4—891no—
833C2×#126—891no—
834C2×#123—891no—
835C2×#123—891no—
836C2×#123C2×D8911yescharacteristic
837C2×#123C2×D8911yescharacteristic, complemented
838C2×C22⋊Q8—891no—
839C2×C22⋊Q8—891no—
840C2×#121—891no—
841C2×#121C2×D8911yescharacteristic
842C2×#120—891no—
843C2×#120—891no—
844C2×C4×D4C2×D8911yescharacteristic, complemented
845C22×C4⋊C4—891no—
846C22×C22⋊C4—891no—
847C22×C22⋊C4—891no—
848C22×C22⋊C4—891no—
849C22×C22⋊C4—891no—
850C22×C42—891no—
851#401—891no—
852#400—891no—
853#400—891no—
854#400—891no—
855#400—891no—
856#400—891no—
857#400—891no—
858#400—891no—
859#400—891no—
860#400—891no—
861#399—891no—
862#399—891no—
863#398—891no—
864#398C2×D8911yescharacteristic, complemented
865#397—891no—
866#397—891no—
867#397—891no—
868#397—891no—
869#397—891no—
870#397—891no—
871#397—891no—
872#397—891no—
873#397—891no—
874#397—891no—
875#397C2×D8911yescharacteristic, complemented
876#396—891no—
877#396—891no—
878#396—891no—
879#396—891no—
880#396C2×D8911yescharacteristic, complemented
881#394—891no—
882#394—891no—
883#394—891no—
884#394—891no—
885#394—891no—
886#394—891no—
887#394—891no—
888#394—891no—
889#394—891no—
890#394—891no—
891#394—891no—
892#394C2×D8911yescharacteristic, complemented
893#393—891no—
894#393—891no—
895#393—891no—
896#393—891no—
897#392—891no—
898#392—891no—
899#391—891no—
900#390—891no—
901#390—891no—
902#390—891no—
903#390—891no—
904#389—891no—
905#389—891no—
906#389C2×D8911yescharacteristic, complemented
907#388—891no—
908#388—891no—
909#388—891no—
910#388—891no—
911#388—891no—
912#388—891no—
913#388—891no—
914#388—891no—
915#388—891no—
916#388—891no—
917#388—891no—
918#388—891no—
919#388—891no—
920#388—891no—
921#388—891no—
922#388—891no—
923#388—891no—
924#388—891no—
925#388—891no—
926#388—891no—
927#388—891no—
928#388—891no—
929#388—891no—
930#388—891no—
931#388C2×D8911yescharacteristic, complemented
932#387—891no—
933#387—891no—
934#387—891no—
935#387—891no—
936#387—891no—
937#387—891no—
938#387—891no—
939#386—891no—
940#386—891no—
941#386—891no—
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#386C2×D8911yescharacteristic
958#386C2×D8911yescharacteristic, complemented
959#385—891no—
960#385—891no—
961#385—891no—
962#385—891no—
963#385—891no—
964#385—891no—
965#385—891no—
966#385—891no—
967#385—891no—
968#385C2×D8911yescharacteristic, complemented
969#382—891no—
970#381—891no—
971#381—891no—
972#381—891no—
973#380—891no—
974#380—891no—
975#380—891no—
976#380—891no—
977#380C2×D8911yescharacteristic, complemented
978#379—891no—
979#379—891no—
980#379—891no—
981#379—891no—
982#379—891no—
983#379—891no—
984C4×C22⋊C4—891no—
985C2×#95—891no—
986C2×#95C2×D8911yescharacteristic, complemented
987C25—891no—
988C25—891no—
989C22×Q8—891no—
990C22×D4—891no—
991C22×D4—891no—
992C22×D4—891no—
993C22×D4—891no—
994C22×D4—891no—
995C22×D4—891no—
996C22×D4—3562no—
997C22×D4—3562no—
998C22×D4—1784no—
999C22×D4C22×D8911yescharacteristic
1000C22×D4C22×D8911yescharacteristic
1001C22×D4C22×D8911yescharacteristic
1002C23×C4—891no—
1003C23×C4—891no—
1004C23×C4—891no—
1005C23×C4—891no—
1006C23×C4—891no—
1007C23×C4—891no—
1008C23×C4C22×D8911yescharacteristic
1009C23×C4C22×D8911yescharacteristic
1010C23×C4C22×D8911yescharacteristic
1011C23×C4C22×D8911yescharacteristic
1012#126—3562no—
1013#123—42no—
1014#123—42no—
1015#123—3562no—
1016#123—3562no—
1017C22⋊Q8—3562no—
1018C22⋊Q8—3562no—
1019#121—42no—
1020#121—3562no—
1021#120—3562no—
1022#120—1784no—
1023C4×D4—42no—
1024C2×C4⋊C4—891no—
1025C2×C4⋊C4—891no—
1026C2×C4⋊C4—891no—
1027C2×C4⋊C4—891no—
1028C2×C4⋊C4—891no—
1029C2×C4⋊C4—891no—
1030C2×C4⋊C4—891no—
1031C2×C4⋊C4—891no—
1032C2×C4⋊C4—891no—
1033C2×C4⋊C4—891no—
1034C2×C4⋊C4—891no—
1035C2×C4⋊C4—891no—
1036C2×C4⋊C4—891no—
1037C2×C4⋊C4—891no—
1038C2×C4⋊C4—891no—
1039C2×C4⋊C4—891no—
1040C2×C4⋊C4—891no—
1041C2×C4⋊C4—891no—
1042C2×C4⋊C4—3562no—
1043C2×C4⋊C4C22×D8911yescharacteristic
1044C2×C4⋊C4C22×D8911yescharacteristic
1045C2×C4⋊C4C22×D8911yescharacteristic
1046C2×C4⋊C4C22×D8911yescharacteristic
1047C2×C4⋊C4C22×D8911yescharacteristic
1048C2×C4⋊C4C22×D8911yescharacteristic
1049C2×C4⋊C4C22×D8911yescharacteristic
1050C2×C4⋊C4C22×D8911yescharacteristic
1051C2×C22⋊C4—891no—
1052C2×C22⋊C4—891no—
1053C2×C22⋊C4—891no—
1054C2×C22⋊C4—891no—
1055C2×C22⋊C4—891no—
1056C2×C22⋊C4—891no—
1057C2×C22⋊C4—891no—
1058C2×C22⋊C4—891no—
1059C2×C22⋊C4—891no—
1060C2×C22⋊C4—891no—
1061C2×C22⋊C4—891no—
1062C2×C22⋊C4—891no—
1063C2×C22⋊C4—891no—
1064C2×C22⋊C4—891no—
1065C2×C22⋊C4—891no—
1066C2×C22⋊C4—891no—
1067C2×C22⋊C4—891no—
1068C2×C22⋊C4—891no—
1069C2×C22⋊C4—891no—
1070C2×C22⋊C4—891no—
1071C2×C22⋊C4—891no—
1072C2×C22⋊C4—891no—
1073C2×C22⋊C4—891no—
1074C2×C22⋊C4—891no—
1075C2×C22⋊C4—891no—
1076C2×C22⋊C4—891no—
1077C2×C22⋊C4—891no—
1078C2×C22⋊C4—891no—
1079C2×C22⋊C4—891no—
1080C2×C22⋊C4—891no—
1081C2×C22⋊C4—891no—
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—3562no—
1097C2×C22⋊C4—3562no—
1098C2×C22⋊C4—3562no—
1099C2×C22⋊C4—1784no—
1100C2×C22⋊C4C22×D8911yescharacteristic
1101C2×C22⋊C4C22×D8911yescharacteristic
1102C2×C22⋊C4C22×D8911yescharacteristic
1103C2×C22⋊C4C22×D8911yescharacteristic
1104C2×C22⋊C4C22×D8911yescharacteristic
1105C2×C22⋊C4C22×D8911yescharacteristic
1106C2×C22⋊C4C22×D8911yescharacteristic
1107C2×C22⋊C4C22×D8911yescharacteristic
1108C2×C22⋊C4C22×D8911yescharacteristic
1109C2×C22⋊C4C22×D8911yescharacteristic
1110C2×C22⋊C4C22×D8911yescharacteristic
1111C2×C42—891no—
1112C2×C42—891no—
1113C2×C42—891no—
1114C2×C42—891no—
1115C2×C42—891no—
1116C2×C42—891no—
1117C2×C42—3562no—
1118C2×C42C22×D8911yescharacteristic
1119#95—891no—
1120#95—891no—
1121#95—891no—
1122#95—891no—
1123#95—891no—
1124#95—891no—
1125#95—891no—
1126#95—891no—
1127#95—891no—
1128#95—891no—
1129#95—891no—
1130#95—891no—
1131#95—891no—
1132#95—891no—
1133#95—891no—
1134#95—891no—
1135#95—891no—
1136#95—891no—
1137#95—891no—
1138#95—891no—
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#95C22×D8911yescharacteristic
1156#95C22×D8911yescharacteristic
1157#95C22×D8911yescharacteristic
1158#95C22×D8911yescharacteristic
1159#95C22×D8911yescharacteristic
1160#95C22×D8911yescharacteristic
1161#95C22×D8911yescharacteristic
1162#95C22×D8911yescharacteristic
1163C24—894no—
1164C24—891no—
1165C24—891no—
1166C24—891no—
1167C24—3561no—
1168C24—3561no—
1169C24—3561no—
1170C24—3561no—
1171C24—3561no—
1172C24—3561no—
1173C24—3561no—
1174C24—3561no—
1175C24—3561no—
1176C24—3561no—
1177C24—1782no—
1178C24—1782no—
1179C24—1782no—
1180C24C23×D8911yescharacteristic
1181C24C23×D8911yescharacteristic
1182C24C23×D8911yescharacteristic
1183C2×Q8—3561no—
1184C2×Q8—3561no—
1185C2×Q8—3561no—
1186C2×D4—22no—
1187C2×D4—22no—
1188C2×D4—22no—
1189C2×D4—22no—
1190C2×D4—22no—
1191C2×D4—22no—
1192C2×D4—41no—
1193C2×D4—41no—
1194C2×D4—41no—
1195C2×D4—3561no—
1196C2×D4—3561no—
1197C2×D4—35616no—
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—1782no—
1207C2×D4—1782no—
1208C2×D4—1782no—
1209C2×D4—1782no—
1210C2×D4—1782no—
1211C2×D4—1782no—
1212C2×D4—1782no—
1213C2×D4—1782no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—41no—
1224C22×C4—41no—
1225C22×C4—41no—
1226C22×C4—891no—
1227C22×C4—891no—
1228C22×C4—891no—
1229C22×C4—891no—
1230C22×C4—891no—
1231C22×C4—891no—
1232C22×C4—891no—
1233C22×C4—891no—
1234C22×C4—891no—
1235C22×C4—891no—
1236C22×C4—891no—
1237C22×C4—891no—
1238C22×C4—891no—
1239C22×C4—3561no—
1240C22×C4—3561no—
1241C22×C4—3561no—
1242C22×C4—3561no—
1243C22×C4—3561no—
1244C22×C4—3561no—
1245C22×C4—3561no—
1246C22×C4—3561no—
1247C22×C4—3561no—
1248C22×C4—3561no—
1249C22×C4—3561no—
1250C22×C4—3561no—
1251C22×C4—3561no—
1252C22×C4—1782no—
1253C22×C4—1782no—
1254C22×C4—1782no—
1255C22×C4—1782no—
1256C22×C4—1782no—
1257C22×C4C23×D8911yescharacteristic
1258C22×C4C23×D8911yescharacteristic
1259C22×C4C23×D8911yescharacteristic
1260C22×C4C23×D8911yescharacteristic
1261C22×C4C23×D8911yescharacteristic
1262C22×C4C23×D8911yescharacteristic
1263C22×C4C23×D8911yescharacteristic
1264C22×C4C23×D8911yescharacteristic
1265C22×C4C23×D8911yescharacteristic
1266C22×C4C23×D8911yescharacteristic
1267C22×C4C23×D8911yescharacteristic
1268C22×C4C23×D8911yescharacteristic
1269C4⋊C4—41no—
1270C4⋊C4—41no—
1271C4⋊C4—41no—
1272C4⋊C4—41no—
1273C4⋊C4—41no—
1274C4⋊C4—41no—
1275C4⋊C4—41no—
1276C4⋊C4—41no—
1277C4⋊C4—3561no—
1278C4⋊C4—3561no—
1279C4⋊C4—3561no—
1280C4⋊C4—3561no—
1281C4⋊C4—3561no—
1282C4⋊C4—3561no—
1283C4⋊C4—3561no—
1284C4⋊C4—3561no—
1285C4⋊C4—3561no—
1286C4⋊C4—3561no—
1287C4⋊C4—3561no—
1288C4⋊C4—3561no—
1289C4⋊C4—3561no—
1290C4⋊C4—3561no—
1291C4⋊C4—1782no—
1292C4⋊C4—1782no—
1293C4⋊C4—1782no—
1294C4⋊C4—1782no—
1295C22⋊C4—22no—
1296C22⋊C4—22no—
1297C22⋊C4—41no—
1298C22⋊C4—41no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—3561no—
1307C22⋊C4—3561no—
1308C22⋊C4—3561no—
1309C22⋊C4—3561no—
1310C22⋊C4—3561no—
1311C22⋊C4—3561no—
1312C22⋊C4—3561no—
1313C22⋊C4—3561no—
1314C22⋊C4—3561no—
1315C22⋊C4—3561no—
1316C22⋊C4—3561no—
1317C22⋊C4—3561no—
1318C22⋊C4—3561no—
1319C22⋊C4—3561no—
1320C22⋊C4—3561no—
1321C22⋊C4—3561no—
1322C22⋊C4—3561no—
1323C22⋊C4—3561no—
1324C22⋊C4—3561no—
1325C22⋊C4—3561no—
1326C22⋊C4—3561no—
1327C22⋊C4—3561no—
1328C22⋊C4—3561no—
1329C22⋊C4—3561no—
1330C22⋊C4—3561no—
1331C22⋊C4—3561no—
1332C22⋊C4—3561no—
1333C22⋊C4—3561no—
1334C22⋊C4—3561no—
1335C22⋊C4—3561no—
1336C22⋊C4—3561no—
1337C22⋊C4—3561no—
1338C22⋊C4—3561no—
1339C22⋊C4—1782no—
1340C22⋊C4—1782no—
1341C22⋊C4—1782no—
1342C22⋊C4—1782no—
1343C22⋊C4—1782no—
1344C22⋊C4—1782no—
1345C22⋊C4—1782no—
1346C22⋊C4—1782no—
1347C22⋊C4—1782no—
1348C22⋊C4—1782no—
1349C22⋊C4—1782no—
1350C22⋊C4—1782no—
1351C42—41no—
1352C42—3561no—
1353C42—3561no—
1354C42—3561no—
1355C42—3561no—
1356C42—3561no—
1357C42—3561no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—892no—
1377C23—892no—
1378C23—3564no—
1379C23—3564no—
1380C23—3564no—
1381C23—1781no—
1382C23—1781no—
1383C23—1781no—
1384C23—1781no—
1385C23—1781no—
1386C23—1781no—
1387C23—1781no—
1388C23—1781no—
1389C23—1781no—
1390C23—1781no—
1391C23—1781no—
1392C23—1781no—
1393C23—1781no—
1394C23—1781no—
1395C23—1781no—
1396C23—1781no—
1397C23—1781no—
1398C23—1781no—
1399C23—1781no—
1400C23—1788no—
1401C23—7122no—
1402C23—7122no—
1403C23—7122no—
1404C23—7122no—
1405C23—7122no—
1406C23—7122no—
1407C23—7122no—
1408C23—7122no—
1409C23—7122no—
1410C23—7122no—
1411C23#41×D8912yes—
1412C23#1566805712yes—
1413C23#1566805712yes—
1414C23C24×D8911yescharacteristic
1415Q8—7122no—
1416D4—44no—
1417D4—44no—
1418D4—82no—
1419D4—3564no—
1420D4—3564no—
1421D4—3564no—
1422D4—7122no—
1423D4—7122no—
1424D4—7122no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
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—44no—
1462C2×C4—82no—
1463C2×C4—82no—
1464C2×C4—82no—
1465C2×C4—892no—
1466C2×C4—3564no—
1467C2×C4—3564no—
1468C2×C4—3564no—
1469C2×C4—3564no—
1470C2×C4—1781no—
1471C2×C4—1781no—
1472C2×C4—1781no—
1473C2×C4—1781no—
1474C2×C4—1781no—
1475C2×C4—1781no—
1476C2×C4—1781no—
1477C2×C4—1781no—
1478C2×C4—1781no—
1479C2×C4—1781no—
1480C2×C4—1781no—
1481C2×C4—1781no—
1482C2×C4—1781no—
1483C2×C4—1781no—
1484C2×C4—1781no—
1485C2×C4—1781no—
1486C2×C4—1781no—
1487C2×C4—1781no—
1488C2×C4—1781no—
1489C2×C4—1781no—
1490C2×C4—1781no—
1491C2×C4—1781no—
1492C2×C4—1781no—
1493C2×C4—1781no—
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—7122no—
1509C2×C4—7122no—
1510C22—22no—
1511C22—22no—
1512C22—22no—
1513C22—22no—
1514C22—22no—
1515C22—22no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—3561no—
1531C22—3561no—
1532C22—3561no—
1533C22—3561no—
1534C22—3561no—
1535C22—3561no—
1536C22—3561no—
1537C22—3561no—
1538C22—3561no—
1539C22—3561no—
1540C22—3561no—
1541C22—3561no—
1542C22—3561no—
1543C22—3561no—
1544C22—3561no—
1545C22—1782no—
1546C22—1782no—
1547C22—1782no—
1548C22—1782no—
1549C22—1782no—
1550C22—1782no—
1551C22—7128no—
1552C22—7128no—
1553C22#1915218014yes—
1554C22C2×#41×D8911yescharacteristic
1555C22H(5,𝔽2)×D8911yescharacteristic
1556C22C2×#1566805711yescharacteristic
1557C22C2×#1566805711yescharacteristic
1558C22#1915243411yescharacteristic
1559C22#1915243411yescharacteristic
1560C22#1915243511yescharacteristic
1561C4—41no—
1562C4—41no—
1563C4—41no—
1564C4—41no—
1565C4—41no—
1566C4—41no—
1567C4—41no—
1568C4—41no—
1569C4—41no—
1570C4—41no—
1571C4—41no—
1572C4—41no—
1573C4—3561no—
1574C4—3561no—
1575C4—3561no—
1576C4—3561no—
1577C4—3561no—
1578C4—3561no—
1579C4—3561no—
1580C4—3561no—
1581C4—3561no—
1582C4—3561no—
1583C4—3561no—
1584C4—3561no—
1585C4—1782no—
1586C2—24no—
1587C2—81no—
1588C2—81no—
1589C2—3562no—
1590C2—3562no—
1591C2—7121no—
1592C2C2×#1915218011yescharacteristic
1593C2#2603394411yescharacteristic
1594C2#2603408411yescharacteristic
1595C2#2603442211yescharacteristic
1596C2#2603443411yescharacteristic
1597C2#2603476211yescharacteristic
1598C2#2603480011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D89
commutator, socle, cosocleC23×C89C25
FittingC89×#2425C2
prime radical#26023623C2
hypercenter#2425D89
hypocenterC89#36986
LCSG ▷ C23×C89 ▷ C89
UCSC1 ◁ C23 ◁ #2425

Complements

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

NH ≅ G/Ntype
1. #26028581C2semidirect
2. #26028571C2semidirect
3. #26028114C2semidirect
4. #26027883C2semidirect
5. #26027879C2semidirect
6. #26027873C2semidirect
7. #26027766C2semidirect
8. #26027680C2semidirect
9. #26027528C2semidirect
10. #26027512C2semidirect
11. #26027491C2semidirect
12. #26027373C2semidirect
13. #26027297C2semidirect
14. #26027295C2semidirect
15. #26026886C2semidirect
16. #26026816C2semidirect
17. #26026802C2semidirect
18. #26026649C2semidirect
19. #26026208C2semidirect
20. #26026185C2semidirect
21. #26024578C2semidirect
22. #26024515C2semidirect
23. #26023981C2semidirect
24. #26023917C2semidirect
25. #26023644C2semidirect
27. #26023576C2semidirect
28. #26022906C2semidirect
29. #26022826C2semidirect
30. C2×#19151487C2semidirect
31. C89×#2425C2semidirect
33. C2×#15668005C22semidirect
35. C2×#15667995C22semidirect
36. C2×#15667991C22semidirect
37. C2×#15667990C22semidirect
41. C22×#13083553C22semidirect
46. C22×C4×Dic89C22semidirect
47. C89⋊#401C22semidirect
48. #19151540C22semidirect
49. #19151540C22semidirect
50. #19151540C22semidirect
51. #19151539C22semidirect
52. #19151539C22semidirect
53. #19151537C22semidirect
54. #19151536C22semidirect
55. #19151536C22semidirect
56. #19151536C22semidirect
58. #19151533C22semidirect
59. #19151529C22semidirect
60. #19151527C22semidirect
61. #19151527C22semidirect
62. #19151526C22semidirect
63. #19151526C22semidirect
64. #19151525C22semidirect
67. #19151524C22semidirect
68. #19151523C22semidirect
69. #19151523C22semidirect
71. #19151521C22semidirect
73. #19151520C22semidirect
82. #19151513C22semidirect
83. #19151512C22semidirect
84. #19151512C22semidirect
86. #19151511C22semidirect
87. #19151510C22semidirect
88. #19151510C22semidirect
91. #19151502C22semidirect
93. #19151498C22semidirect
94. #19151498C22semidirect
95. #19151498C22semidirect
96. #19151493C22semidirect
97. #19151493C22semidirect
98. #19151492C22semidirect
99. #19151492C22semidirect
100. #19151492C22semidirect
101. #19151490C22semidirect
103. #19151489C22semidirect
104. #19151489C22semidirect
106. #19151488C22semidirect
107. #19151488C22semidirect
108. #19151488C22semidirect
113. #19151487C22semidirect
114. #19151487C22semidirect
115. #19151487C22semidirect
116. #19151487C22semidirect
117. #19151487C22semidirect
118. #19151486C22semidirect
119. #19151486C22semidirect
120. #19151486C22semidirect
121. #19151486C22semidirect
122. #19151483C22semidirect
123. #19151482C22semidirect
124. #19151480C22semidirect
125. #19151479C22semidirect
126. #19151479C22semidirect
127. #19151479C22semidirect
128. #19151479C22semidirect
132. #19151478C22semidirect
133. #19151478C22semidirect
137. #19151477C22semidirect
145. #19151474C22semidirect
146. #19151474C22semidirect
147. #19151473C22semidirect
148. #19151472C22semidirect
149. #19151471C22semidirect
150. #19151470C22semidirect
151. #19151470C22semidirect
155. #19151469C22semidirect
156. #19151462C22semidirect
157. #19151461C22semidirect
160. #19151457C22semidirect
161. #19151456C22semidirect
162. #19151455C22semidirect
163. #19151455C22semidirect
170. C4×C22⋊Dic89C22semidirect
171. C2×#15667919C22semidirect
173. C2×#123×C89C22semidirect
175. C2×C4×D4×C89C22semidirect
176. #398×C89C22semidirect
177. #397×C89C22semidirect
178. #396×C89C22semidirect
179. #394×C89C22semidirect
180. #389×C89C22semidirect
181. #388×C89C22semidirect
183. #386×C89C22semidirect
184. #385×C89C22semidirect
185. #380×C89C22semidirect
186. C2×#95×C89C22semidirect
824. #2425D89semidirect
831. C89#36986semidirect
837. C2×#123C2×D89semidirect
844. C2×C4×D4C2×D89semidirect
864. #398C2×D89semidirect
875. #397C2×D89semidirect
880. #396C2×D89semidirect
892. #394C2×D89semidirect
906. #389C2×D89semidirect
931. #388C2×D89semidirect
958. #386C2×D89semidirect
968. #385C2×D89semidirect
977. #380C2×D89semidirect
986. C2×#95C2×D89semidirect

Maximal subgroups

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

subgroupindex
#260285812
#260285712
#260281142
#260278832
#260278792
#260278732
#260277662
#260276802
#260275282
#260275122
#260274912
#260273732
#260272972
#260272952
#260268862
#260268162
#260268022
#260266492
#260262082
#260261852
#260245782
#260245152
#260239812
#260239172
#260236442
#260236232
#260235762
#260229062
#260228262
C2×#191514872
C89×#24252
#3698689