Finite Group Databasebeta

← #36763869

Subgroups — #36763869

Order 22784.

2048 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#26028583C211yesmaximal, characteristic, complemented
2#26028128C211yesmaximal, characteristic, complemented
3#26028120C211yesmaximal, characteristic, complemented
4#26026992C211yesmaximal, characteristic, complemented
5#26026991C211yesmaximal, characteristic, complemented
6#26026925C211yesmaximal, characteristic, complemented
7#26026923C211yesmaximal, characteristic, complemented
8#26026922C211yesmaximal, characteristic, complemented
9#26026921C211yesmaximal, characteristic, complemented
10#26026761C211yesmaximal, characteristic, complemented
11#26026757C211yesmaximal, characteristic, complemented
12#26026580C211yesmaximal, characteristic, complemented
13#26026575C211yesmaximal, characteristic, complemented
14#26026572C211yesmaximal, characteristic, complemented
15#26026571C211yesmaximal, characteristic, complemented
16#26026518C211yesmaximal, characteristic, complemented
17#26026514C211yesmaximal, characteristic, complemented
18#26026238C211yesmaximal, characteristic, complemented
19#26026236C211yesmaximal, characteristic, complemented
20#26025920C211yesmaximal, characteristic, complemented
21#26025388C211yesmaximal, characteristic, complemented
22#26025386C211yesmaximal, characteristic, complemented
23#26025181C211yesmaximal, characteristic, complemented
24#26024362C211yesmaximal, characteristic, complemented
25#26024360C211yesmaximal, characteristic, complemented
26#26023869C211yesmaximal, characteristic, complemented
27#26023569C211yesmaximal, characteristic, complemented
28#26023015C211yesmaximal, characteristic, complemented
29#26022846C211yesmaximal, characteristic, complemented
30#26022742C211yesmaximal, characteristic, complemented
31C89×#2854C211yesmaximal, characteristic, complemented
32C22×#13083574C2211yescharacteristic
33C2×#15668008C2211yescharacteristic, complemented
34C2×#15668007C2211yescharacteristic, complemented
35C2×#15668007C2211yescharacteristic, complemented
36C2×#15667998C2211yescharacteristic, complemented
37C2×#15667997C2211yescharacteristic
38C2×#15667996C2211yescharacteristic
39C2×#15667995C2211yescharacteristic
40C2×#15667995C2211yescharacteristic, complemented
41C2×#15667994C2211yescharacteristic
42C2×#15667994C2211yescharacteristic
43C2×#15667987C2211yescharacteristic
44C2×#15667986C2211yescharacteristic
45C2×#15667985C2211yescharacteristic
46C2×#15667984C2211yescharacteristic
47C2×#15667982C2211yescharacteristic
48C2×#15667982C2211yescharacteristic
49C2×#15667980C2211yescharacteristic
50C2×#15667980C2211yescharacteristic
51C2×#15667971C2211yescharacteristic, complemented
52C2×C22⋊C4×D89C2211yescharacteristic
53#19151539C2211yescharacteristic, complemented
54#19151537C2211yescharacteristic, complemented
55#19151536C2211yescharacteristic, complemented
56#19151536C2211yescharacteristic, complemented
57#19151535C2211yescharacteristic, complemented
58#19151534C2211yescharacteristic
59#19151534C2211yescharacteristic, complemented
60#19151533C2211yescharacteristic
61#19151526C2211yescharacteristic
62#19151526C2211yescharacteristic, complemented
63#19151525C2211yescharacteristic
64#19151525C2211yescharacteristic, complemented
65#19151524C2211yescharacteristic
66#19151523C2211yescharacteristic
67#19151522C2211yescharacteristic, complemented
68#19151521C2211yescharacteristic, complemented
69#19151521C2211yescharacteristic, complemented
70#19151520C2211yescharacteristic
71#19151520C2211yescharacteristic
72#19151520C2211yescharacteristic
73#19151520C2211yescharacteristic
74#19151520C2211yescharacteristic, complemented
75#19151516C2211yescharacteristic
76#19151515C2211yescharacteristic
77#19151515C2211yescharacteristic
78#19151515C2211yescharacteristic, complemented
79#19151515C2211yescharacteristic, complemented
80#19151514C2211yescharacteristic
81#19151514C2211yescharacteristic
82#19151514C2211yescharacteristic
83#19151514C2211yescharacteristic, complemented
84#19151513C2211yescharacteristic
85#19151513C2211yescharacteristic, complemented
86#19151512C2211yescharacteristic
87#19151511C2211yescharacteristic
88#19151510C2211yescharacteristic
89#19151508C2211yescharacteristic
90#19151507C2211yescharacteristic
91#19151507C2211yescharacteristic
92#19151507C2211yescharacteristic
93#19151507C2211yescharacteristic
94#19151507C2211yescharacteristic
95#19151507C2211yescharacteristic
96#19151506C2211yescharacteristic
97#19151506C2211yescharacteristic
98#19151506C2211yescharacteristic
99#19151506C2211yescharacteristic
100#19151506C2211yescharacteristic
101#19151504C2211yescharacteristic, complemented
102#19151504C2211yescharacteristic, complemented
103#19151502C2211yescharacteristic, complemented
104#19151501C2211yescharacteristic
105#19151500C2211yescharacteristic
106#19151500C2211yescharacteristic
107#19151500C2211yescharacteristic
108#19151500C2211yescharacteristic
109#19151499C2211yescharacteristic
110#19151498C2211yescharacteristic
111#19151498C2211yescharacteristic
112#19151498C2211yescharacteristic
113#19151498C2211yescharacteristic
114#19151498C2211yescharacteristic, complemented
115#19151497C2211yescharacteristic, complemented
116#19151496C2211yescharacteristic, complemented
117#19151496C2211yescharacteristic, complemented
118#19151493C2211yescharacteristic, complemented
119#19151492C2211yescharacteristic
120#19151491C2211yescharacteristic
121#19151491C2211yescharacteristic
122#19151490C2211yescharacteristic
123#19151489C2211yescharacteristic
124#19151489C2211yescharacteristic
125#19151489C2211yescharacteristic, complemented
126#19151489C2211yescharacteristic, complemented
127#19151488C2211yescharacteristic
128#19151488C2211yescharacteristic
129#19151487C2211yescharacteristic
130#19151486C2211yescharacteristic
131#19151485C2211yescharacteristic, complemented
132#19151484C2211yescharacteristic, complemented
133#19151483C2211yescharacteristic, complemented
134#19151481C2211yescharacteristic, complemented
135#19151481C2211yescharacteristic, complemented
136#19151480C2211yescharacteristic, complemented
137#19151479C2211yescharacteristic, complemented
138#19151479C2211yescharacteristic, complemented
139#19151478C2211yescharacteristic, complemented
140#19151477C2211yescharacteristic
141#19151477C2211yescharacteristic
142#19151477C2211yescharacteristic
143#19151477C2211yescharacteristic, complemented
144#19151477C2211yescharacteristic, complemented
145#19151477C2211yescharacteristic, complemented
146#19151476C2211yescharacteristic
147#19151476C2211yescharacteristic
148#19151476C2211yescharacteristic
149#19151476C2211yescharacteristic, complemented
150#19151475C2211yescharacteristic
151#19151475C2211yescharacteristic, complemented
152#19151474C2211yescharacteristic
153#19151474C2211yescharacteristic
154#19151474C2211yescharacteristic, complemented
155#19151474C2211yescharacteristic, complemented
156#19151474C2211yescharacteristic, complemented
157#19151473C2211yescharacteristic, complemented
158#19151469C2211yescharacteristic, complemented
159#19151460C2211yescharacteristic
160#19151458C2211yescharacteristic, complemented
161#19151457C2211yescharacteristic
162#19151455C2211yescharacteristic
163#19151453C2211yescharacteristic
164#19151453C2211yescharacteristic
165C22⋊C4×Dic89C2211yescharacteristic, complemented
166C4×#13083551C2211yescharacteristic
167C4×#13083551C2211yescharacteristic
168C4×#13083551C2211yescharacteristic, complemented
169C4×#13083551C2211yescharacteristic, complemented
170#19151445C2211yescharacteristic
171#19151445C2211yescharacteristic, complemented
172C2×#123×C89C2211yescharacteristic
173C2×#123×C89C2211yescharacteristic, complemented
174C2×#121×C89C2211yescharacteristic
175C22×C42×C89C2211yescharacteristic, complemented
176#390×C89C2211yescharacteristic
177#390×C89C2211yescharacteristic
178#389×C89C2211yescharacteristic, complemented
179#389×C89C2211yescharacteristic, complemented
180#388×C89C2211yescharacteristic
181#388×C89C2211yescharacteristic
182#388×C89C2211yescharacteristic, complemented
183#388×C89C2211yescharacteristic, complemented
184#386×C89C2211yescharacteristic
185#386×C89C2211yescharacteristic, complemented
186#380×C89C2211yescharacteristic, complemented
187C24×D89C2311yescharacteristic
188C2×#13083574—24no—
189C2×#13083574—42no—
190C2×#13083574—42no—
191C22×Dic178C2311yescharacteristic
192C22×D356C2311yescharacteristic
193C22×D356C2311yescharacteristic
194C22×D356C2311yescharacteristic
195C22×D356C2311yescharacteristic
196C22×D356C2311yescharacteristic
197C22×C22⋊D89C2311yescharacteristic
198C22×C22⋊D89C2311yescharacteristic
199C22×C22⋊D89C2311yescharacteristic
200C22×C22⋊D89C2311yescharacteristic
201C22×C22⋊D89C2311yescharacteristic
202C22×C22⋊D89C2311yescharacteristic
203C22×C22⋊D89C2311yescharacteristic
204C22×C22⋊D89C2311yescharacteristic
205C22×C22⋊D89C2311yescharacteristic
206C22×C22⋊D89C2311yescharacteristic
207C23×Dic89C2311yescharacteristic
208C22×C4×D89C2311yescharacteristic
209C22×C4×D89C2311yescharacteristic
210C22×C4×D89C2311yescharacteristic
211C22×C4×D89C2311yescharacteristic
212#15668008—42no—
213#15668007—42no—
214#15668007—42no—
215#15667998—42no—
216#15667997—42no—
217#15667996—42no—
218#15667995—42no—
219#15667995—42no—
220#15667994—42no—
221#15667994—42no—
222#15667987—42no—
223#15667986—42no—
224#15667985—24no—
225#15667984—42no—
226#15667982—42no—
227#15667982—42no—
228#15667980—42no—
229#15667980—42no—
230#15667971—42no—
231C2×C4⋊Dic89C2311yescharacteristic
232C2×C4⋊Dic89C2311yescharacteristic
233C2×C4⋊Dic89C2311yescharacteristic
234C2×C4⋊Dic89C2311yescharacteristic
235C2×C4⋊Dic89C2311yescharacteristic
236C2×C4⋊Dic89C2311yescharacteristic
237C2×C4⋊Dic89C2311yescharacteristic
238C2×C4⋊Dic89C2311yescharacteristic
239C2×#13083553C2311yescharacteristic
240C2×#13083553C2311yescharacteristic
241C2×#13083553C2311yescharacteristic
242C2×#13083553C2311yescharacteristic
243C2×#13083553C2311yescharacteristic
244C2×#13083553C2311yescharacteristic
245C2×#13083553C2311yescharacteristic
246C2×#13083553C2311yescharacteristic
247C2×#13083553C2311yescharacteristic
248C2×#13083553C2311yescharacteristic
249C2×C22⋊Dic89C2311yescharacteristic
250C2×C22⋊Dic89C2311yescharacteristic
251C2×C22⋊Dic89C2311yescharacteristic
252C2×C22⋊Dic89C2311yescharacteristic
253C2×C22⋊Dic89C2311yescharacteristic
254C2×C22⋊Dic89C2311yescharacteristic
255C2×C22⋊Dic89C2311yescharacteristic
256C2×C22⋊Dic89C2311yescharacteristic
257C2×C22⋊Dic89C2311yescharacteristic
258C2×C22⋊Dic89C2311yescharacteristic
259C2×C22⋊Dic89C2311yescharacteristic
260C2×C22⋊Dic89C2311yescharacteristic
261C2×#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
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
295C22⋊C4×D89—24no—
296C2×C4×Dic89C2311yescharacteristic
297C2×C4×Dic89C2311yescharacteristic
298C2×C4×Dic89C2311yescharacteristic
299C2×C4×Dic89C2311yescharacteristic
300C2×C4×Dic89C2311yescharacteristic
301C2×C4×Dic89C2311yescharacteristic
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
324#15667919C2311yescharacteristic
325#15667919C2311yescharacteristic
326#15667919C2311yescharacteristic
327#15667919C2311yescharacteristic
328#15667919C2311yescharacteristic
329#15667919C2311yescharacteristic
330C22×D4×C89C2311yescharacteristic
331C22×D4×C89C2311yescharacteristic
332C22×D4×C89C2311yescharacteristic
333C23×C4×C89C2311yescharacteristic
334C23×C4×C89C2311yescharacteristic
335C23×C4×C89C2311yescharacteristic
336#123×C89—42no—
337#123×C89—42no—
338#121×C89—42no—
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×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×C22⋊C4×C89C2311yescharacteristic
355C2×C22⋊C4×C89C2311yescharacteristic
356C2×C22⋊C4×C89C2311yescharacteristic
357C2×C22⋊C4×C89C2311yescharacteristic
358C2×C42×C89—42no—
359C2×C42×C89C2311yescharacteristic
360C2×C42×C89C2311yescharacteristic
361C2×C42×C89C2311yescharacteristic
362C2×C42×C89C2311yescharacteristic
363#95×C89C2311yescharacteristic
364#95×C89C2311yescharacteristic
365#95×C89C2311yescharacteristic
366#95×C89C2311yescharacteristic
367#95×C89C2311yescharacteristic
368#95×C89C2311yescharacteristic
369C23×D89—22no—
370C23×D89—41no—
371C23×D89—41no—
372C23×D89—41no—
373C23×D89—41no—
374C23×D89—41no—
375C23×D89—41no—
376C23×D89C2411yescharacteristic
377C23×D89C2411yescharacteristic
378C23×D89C2411yescharacteristic
379C23×D89C2411yescharacteristic
380#13083574—416no—
381C2×Dic178—22no—
382C2×Dic178—22no—
383C2×Dic178—41no—
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×D356—41no—
396C2×D356—41no—
397C2×D356—41no—
398C2×D356—41no—
399C2×C22⋊D89—22no—
400C2×C22⋊D89—22no—
401C2×C22⋊D89—22no—
402C2×C22⋊D89—22no—
403C2×C22⋊D89—22no—
404C2×C22⋊D89—22no—
405C2×C22⋊D89—22no—
406C2×C22⋊D89—22no—
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—
414C2×C22⋊D89—41no—
415C2×C22⋊D89—41no—
416C2×C22⋊D89—41no—
417C2×C22⋊D89—41no—
418C2×C22⋊D89—41no—
419C2×C22⋊D89—41no—
420C2×C22⋊D89—41no—
421C2×C22⋊D89—41no—
422C2×C22⋊D89—41no—
423C2×C22⋊D89—41no—
424C2×C22⋊D89—41no—
425C2×C22⋊D89—41no—
426C2×C22⋊D89—41no—
427C2×C22⋊D89—41no—
428C2×C22⋊D89—41no—
429C22×Dic89—41no—
430C22×Dic89—41no—
431C22×Dic89—41no—
432C22×Dic89C2411yescharacteristic
433C22×Dic89C2411yescharacteristic
434C22×Dic89C2411yescharacteristic
435C22×Dic89C2411yescharacteristic
436C22×Dic89C2411yescharacteristic
437C22×Dic89C2411yescharacteristic
438C22×Dic89C2411yescharacteristic
439C22×Dic89C2411yescharacteristic
440C22×Dic89C2411yescharacteristic
441C22×Dic89C2411yescharacteristic
442C22×Dic89C2411yescharacteristic
443C22×Dic89C2411yescharacteristic
444C2×C4×D89—22no—
445C2×C4×D89—22no—
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—41no—
455C2×C4×D89#4114yes—
456C4⋊Dic89—22no—
457C4⋊Dic89—22no—
458C4⋊Dic89—22no—
459C4⋊Dic89—41no—
460C4⋊Dic89—41no—
461C4⋊Dic89—41no—
462C4⋊Dic89—41no—
463C4⋊Dic89—41no—
464#13083553—22no—
465#13083553—22no—
466#13083553—22no—
467#13083553—41no—
468#13083553—41no—
469#13083553—41no—
470#13083553—41no—
471#13083553—41no—
472#13083553—41no—
473#13083553—41no—
474C22⋊Dic89—22no—
475C22⋊Dic89—41no—
476C22⋊Dic89—41no—
477C22⋊Dic89—41no—
478C22⋊Dic89—41no—
479C22⋊Dic89—41no—
480C22⋊Dic89—41no—
481C22⋊Dic89—41no—
482C22⋊Dic89—41no—
483C22⋊Dic89—41no—
484C22⋊Dic89—41no—
485C22⋊Dic89—41no—
486#13083551—22no—
487#13083551—22no—
488#13083551—22no—
489#13083551—22no—
490#13083551—22no—
491#13083551—22no—
492#13083551—22no—
493#13083551—22no—
494#13083551—22no—
495#13083551—22no—
496#13083551—22no—
497#13083551—41no—
498#13083551—41no—
499#13083551—41no—
500#13083551—41no—
501#13083551—41no—
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—
520C4×Dic89—41no—
521C4×Dic89—41no—
522C4×Dic89—41no—
523C4×Dic89—41no—
524C4×Dic89—41no—
525C4×Dic89—41no—
526C24×C89C2411yescharacteristic
527C24×C89C2411yescharacteristic
528C24×C89C2411yescharacteristic
529C2×D4×C89—22no—
530C2×D4×C89—22no—
531C2×D4×C89—22no—
532C2×D4×C89—41no—
533C2×D4×C89—41no—
534C2×D4×C89—41no—
535C2×D4×C89—41no—
536C2×D4×C89—41no—
537C2×D4×C89—41no—
538C22×C4×C89—22no—
539C22×C4×C89—22no—
540C22×C4×C89—22no—
541C22×C4×C89—22no—
542C22×C4×C89—22no—
543C22×C4×C89—22no—
544C22×C4×C89—22no—
545C22×C4×C89—41no—
546C22×C4×C89—41no—
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
557C22×C4×C89C2411yescharacteristic
558C22×C4×C89C2411yescharacteristic
559C4⋊C4×C89—22no—
560C4⋊C4×C89—22no—
561C4⋊C4×C89—22no—
562C4⋊C4×C89—41no—
563C4⋊C4×C89—41no—
564C4⋊C4×C89—41no—
565C4⋊C4×C89—41no—
566C22⋊C4×C89—22no—
567C22⋊C4×C89—22no—
568C22⋊C4×C89—22no—
569C22⋊C4×C89—22no—
570C22⋊C4×C89—22no—
571C22⋊C4×C89—22no—
572C22⋊C4×C89—41no—
573C22⋊C4×C89—41no—
574C22⋊C4×C89—41no—
575C22⋊C4×C89—41no—
576C22⋊C4×C89—41no—
577C22⋊C4×C89—41no—
578C42×C89—41no—
579C42×C89—41no—
580C42×C89—41no—
581C42×C89—41no—
582C23×C89—21no—
583C23×C89—21no—
584C23×C89—21no—
585C23×C89—21no—
586C23×C89—21no—
587C23×C89—21no—
588C23×C89—21no—
589C23×C89—21no—
590C23×C89—21no—
591C23×C89—21no—
592C23×C89—21no—
593C23×C89—21no—
594C23×C89—21no—
595C23×C89—21no—
596C23×C89—21no—
597C23×C89—21no—
598C23×C89—21no—
599C23×C89—21no—
600C23×C89—21no—
601C23×C89—21no—
602C23×C89H(5,𝔽2)12yes—
603C23×C89C2511yescharacteristic
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—21no—
614C22×D89—21no—
615C22×D89—21no—
616C22×D89—21no—
617C22×D89—21no—
618C22×D89—21no—
619C22×D89—21no—
620C22×D89—21no—
621C22×D89—21no—
622C22×D89—21no—
623C22×D89—21no—
624C22×D89—21no—
625C22×D89—21no—
626C22×D89—21no—
627C22×D89—21no—
628C22×D89—21no—
629C22×D89—21no—
630C22×D89—21no—
631C22×D89—44no—
632C22×D89—82no—
633C22×D89—82no—
634C22×D89—82no—
635C22×D89—82no—
636C22×D89—82no—
637C22×D89—82no—
638C22×D89C2×#4112yes—
639D4×C89—82no—
640D4×C89—82no—
641D4×C89—82no—
642C2×C4×C89—28no—
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—21no—
665C2×C4×C89—21no—
666C2×C4×C89—21no—
667C2×C4×C89—21no—
668C2×C4×C89—21no—
669C2×C4×C89—21no—
670C2×C4×C89—21no—
671C2×C4×C89—21no—
672C2×C4×C89—21no—
673C2×C4×C89—21no—
674C2×C4×C89—21no—
675C2×C4×C89—44no—
676C2×C4×C89—44no—
677C2×C4×C89C2×#4112yes—
678C2×C4×C89H(5,𝔽2)12yes—
679C2×C4×C89H(5,𝔽2)12yes—
680C2×C4×C89H(5,𝔽2)12yes—
681C22⋊D89—44no—
682C22⋊D89—44no—
683C22⋊D89—82no—
684C22⋊D89—82no—
685C22⋊D89—82no—
686C22⋊D89—82no—
687C22⋊D89—82no—
688C22⋊D89—82no—
689C22⋊D89—82no—
690C22⋊D89—82no—
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—21no—
708C2×Dic89—21no—
709C2×Dic89—21no—
710C2×Dic89—21no—
711C2×Dic89—21no—
712C2×Dic89—21no—
713C2×Dic89—21no—
714C2×Dic89—21no—
715C2×Dic89—21no—
716C2×Dic89—21no—
717C2×Dic89—21no—
718C2×Dic89—21no—
719C2×Dic89—21no—
720C2×Dic89—21no—
721C2×Dic89—21no—
722C2×Dic89—21no—
723C2×Dic89—21no—
724C2×Dic89—21no—
725C2×Dic89—21no—
726C2×Dic89—82no—
727C2×Dic89C2×#4112yes—
728D356—44no—
729D356—82no—
730D356—82no—
731D356—82no—
732D356—82no—
733C4×D89—44no—
734C4×D89—44no—
735C4×D89—82no—
736C4×D89—82no—
737Dic178—44no—
738C22×C89—22no—
739C22×C89—22no—
740C22×C89—22no—
741C22×C89—41no—
742C22×C89—41no—
743C22×C89—41no—
744C22×C89—41no—
745C22×C89—41no—
746C22×C89—41no—
747C22×C89—41no—
748C22×C89—41no—
749C22×C89—41no—
750C22×C89—41no—
751C22×C89—41no—
752C22×C89—41no—
753C22×C89—41no—
754C22×C89—41no—
755C22×C89—41no—
756C22×C89—41no—
757C22×C89—41no—
758C22×C89—41no—
759C22×C89C22×#4111yescharacteristic
760C22×C89C2×H(5,𝔽2)11yescharacteristic
761C22×C89C2×H(5,𝔽2)11yescharacteristic
762C22×C89C2×H(5,𝔽2)11yescharacteristic
763C22×C89C2×H(5,𝔽2)11yescharacteristic
764C22×C89#58511yescharacteristic
765C22×C89#58511yescharacteristic
766C2×D89—22no—
767C2×D89—22no—
768C2×D89—22no—
769C2×D89—41no—
770C2×D89—41no—
771C2×D89—41no—
772C2×D89—41no—
773C2×D89—41no—
774C2×D89—41no—
775C2×D89—41no—
776C2×D89—41no—
777C2×D89—41no—
778C2×D89—41no—
779C2×D89—41no—
780C2×D89—41no—
781C2×D89—41no—
782C2×D89—41no—
783C2×D89—41no—
784C2×D89—41no—
785C2×D89—41no—
786C2×D89—41no—
787C2×D89—41no—
788C2×D89—41no—
789C2×D89—41no—
790C2×D89—41no—
791C2×D89—41no—
792C2×D89—41no—
793C2×D89—41no—
794C2×D89—88no—
795C4×C89—22no—
796C4×C89—22no—
797C4×C89—22no—
798C4×C89—22no—
799C4×C89—41no—
800C4×C89—41no—
801C4×C89—41no—
802C4×C89—41no—
803C4×C89—41no—
804C4×C89—41no—
805C4×C89—41no—
806C4×C89—41no—
807Dic89—22no—
808Dic89—41no—
809Dic89—41no—
810Dic89—41no—
811Dic89—41no—
812Dic89—41no—
813Dic89—41no—
814Dic89—41no—
815Dic89—41no—
816Dic89—41no—
817Dic89—41no—
818Dic89—41no—
819#36812—891nomaximal, Sylow
820C2×C89—42no—
821C2×C89—81no—
822C2×C89—81no—
823C2×C89#345511yescharacteristic
824C2×C89#349011yescharacteristic
825C2×C89#350811yescharacteristic
826C2×C89#353411yescharacteristic
827C2×C89#353411yescharacteristic
828C2×C89#354611yescharacteristic
829C2×C89#354611yescharacteristic
830D89—42no—
831D89—81no—
832D89—81no—
833D89—81no—
834#2854—891no—
835#2854D8911yescharacteristic, complemented
836#2798—891no—
837#2798—891no—
838#2710—891no—
839#2710—891no—
840#2705—891no—
841#2705—891no—
842#2705—891no—
843#2705—891no—
844#2693—891no—
845#2693—891no—
846#2678—891no—
847#2678—891no—
848#2678—891no—
849#2678—891no—
850#2673—891no—
851#2673—891no—
852#2648—891no—
853#2648—891no—
854#2608—891no—
855#2559—891no—
856#2559—891no—
857#2539—891no—
858#2471—891no—
859#2471—891no—
860#2431—891no—
861#2404—891no—
862#2333—891no—
863#2312—891no—
864#2297—891no—
865C89#3681211yescharacteristic, complemented, Sylow
866C22×#41—891no—
867C2×#127—891no—
868C2×#126—891no—
869C2×#126—891no—
870C2×#124—891no—
871C2×#123—891no—
872C2×#123—891no—
873C2×#123—891no—
874C2×#123—891no—
875C2×#123—891no—
876C2×#123—891no—
877C2×#123C2×D8911yescharacteristic
878C2×#123C2×D8911yescharacteristic, complemented
879C2×#121—891no—
880C2×#121—891no—
881C2×#121—891no—
882C2×#121—891no—
883C2×#121C2×D8911yescharacteristic
884C2×#120—891no—
885C2×#120—891no—
886C2×#120—891no—
887C2×#120—891no—
888C2×#117—891no—
889C22×C22⋊C4—891no—
890C22×C42C2×D8911yescharacteristic, complemented
891#400—891no—
892#400—891no—
893#400—891no—
894#400—891no—
895#399—891no—
896#399—891no—
897#399—891no—
898#399—891no—
899#397—891no—
900#397—891no—
901#397—891no—
902#397—891no—
903#397—891no—
904#397—891no—
905#396—891no—
906#396—891no—
907#396—891no—
908#396—891no—
909#396—891no—
910#396—891no—
911#396—891no—
912#396—891no—
913#394—891no—
914#394—891no—
915#394—891no—
916#394—891no—
917#394—891no—
918#394—891no—
919#394—891no—
920#394—891no—
921#394—891no—
922#394—891no—
923#394—891no—
924#394—891no—
925#393—891no—
926#393—891no—
927#392—891no—
928#392—891no—
929#392—891no—
930#392—891no—
931#392—891no—
932#392—891no—
933#392—891no—
934#392—891no—
935#392—891no—
936#392—891no—
937#392—891no—
938#392—891no—
939#391—891no—
940#391—891no—
941#391—891no—
942#390—891no—
943#390—891no—
944#390—891no—
945#390—891no—
946#390—891no—
947#390—891no—
948#390—891no—
949#390—891no—
950#390—891no—
951#390—891no—
952#390—891no—
953#390C2×D8911yescharacteristic
954#390C2×D8911yescharacteristic
955#389—891no—
956#389—891no—
957#389—891no—
958#389—891no—
959#389C2×D8911yescharacteristic, complemented
960#389C2×D8911yescharacteristic, complemented
961#388—891no—
962#388—891no—
963#388—891no—
964#388—891no—
965#388—891no—
966#388—891no—
967#388—891no—
968#388—891no—
969#388—891no—
970#388—891no—
971#388—891no—
972#388—891no—
973#388C2×D8911yescharacteristic
974#388C2×D8911yescharacteristic
975#388C2×D8911yescharacteristic, complemented
976#388C2×D8911yescharacteristic, complemented
977#387—891no—
978#387—891no—
979#387—891no—
980#387—891no—
981#387—891no—
982#387—891no—
983#387—891no—
984#387—891no—
985#386—891no—
986#386—891no—
987#386—891no—
988#386—891no—
989#386—891no—
990#386—891no—
991#386—891no—
992#386—891no—
993#386—891no—
994#386—891no—
995#386—891no—
996#386—891no—
997#386—891no—
998#386—891no—
999#386—891no—
1000#386—891no—
1001#386—891no—
1002#386—891no—
1003#386C2×D8911yescharacteristic
1004#386C2×D8911yescharacteristic, complemented
1005#385—891no—
1006#385—891no—
1007#381—891no—
1008#380—891no—
1009#380—891no—
1010#380—891no—
1011#380C2×D8911yescharacteristic, complemented
1012#379—891no—
1013#379—891no—
1014C4×C22⋊C4—891no—
1015C4×C22⋊C4—891no—
1016C4×C22⋊C4—891no—
1017C4×C22⋊C4—891no—
1018C4×C22⋊C4—891no—
1019C4×C22⋊C4—891no—
1020C4×C22⋊C4—891no—
1021C25—891no—
1022C2×#41—3562no—
1023C2×#41—3562no—
1024C2×#41—1784no—
1025C22×Q8—891no—
1026C22×D4—891no—
1027C22×D4—891no—
1028C22×D4—891no—
1029C22×D4—891no—
1030C22×D4—891no—
1031C22×D4—891no—
1032C22×D4—891no—
1033C22×D4—891no—
1034C22×D4—891no—
1035C22×D4—891no—
1036C22×D4—891no—
1037C22×D4—891no—
1038C22×D4—891no—
1039C22×D4—891no—
1040C22×D4—891no—
1041C22×D4C22×D8911yescharacteristic
1042C22×D4C22×D8911yescharacteristic
1043C22×D4C22×D8911yescharacteristic
1044C23×C4—891no—
1045C23×C4—891no—
1046C23×C4—891no—
1047C23×C4—891no—
1048C23×C4—891no—
1049C23×C4C22×D8911yescharacteristic
1050C23×C4C22×D8911yescharacteristic
1051C23×C4C22×D8911yescharacteristic
1052#127—3562no—
1053#126—3562no—
1054#126—3562no—
1055#124—3562no—
1056#123—42no—
1057#123—42no—
1058#123—3562no—
1059#123—3562no—
1060#123—3562no—
1061#123—3562no—
1062#123—3562no—
1063#123—3562no—
1064#121—42no—
1065#121—3562no—
1066#121—3562no—
1067#121—3562no—
1068#121—1784no—
1069#120—3562no—
1070#120—3562no—
1071#120—3562no—
1072#120—3562no—
1073#117—3562no—
1074C2×C4⋊C4—891no—
1075C2×C4⋊C4—891no—
1076C2×C4⋊C4—891no—
1077C2×C4⋊C4—891no—
1078C2×C4⋊C4—891no—
1079C2×C4⋊C4—891no—
1080C2×C4⋊C4—891no—
1081C2×C4⋊C4—891no—
1082C2×C4⋊C4—891no—
1083C2×C4⋊C4—891no—
1084C2×C4⋊C4—891no—
1085C2×C4⋊C4—891no—
1086C2×C4⋊C4—891no—
1087C2×C4⋊C4—891no—
1088C2×C4⋊C4—891no—
1089C2×C4⋊C4—891no—
1090C2×C4⋊C4—891no—
1091C2×C4⋊C4—891no—
1092C2×C4⋊C4C22×D8911yescharacteristic
1093C2×C4⋊C4C22×D8911yescharacteristic
1094C2×C4⋊C4C22×D8911yescharacteristic
1095C2×C4⋊C4C22×D8911yescharacteristic
1096C2×C4⋊C4C22×D8911yescharacteristic
1097C2×C4⋊C4C22×D8911yescharacteristic
1098C2×C4⋊C4C22×D8911yescharacteristic
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—891no—
1124C2×C22⋊C4—891no—
1125C2×C22⋊C4—891no—
1126C2×C22⋊C4—891no—
1127C2×C22⋊C4—891no—
1128C2×C22⋊C4—891no—
1129C2×C22⋊C4—891no—
1130C2×C22⋊C4—891no—
1131C2×C22⋊C4—891no—
1132C2×C22⋊C4—891no—
1133C2×C22⋊C4—891no—
1134C2×C22⋊C4—891no—
1135C2×C22⋊C4—891no—
1136C2×C22⋊C4—891no—
1137C2×C22⋊C4—891no—
1138C2×C22⋊C4—891no—
1139C2×C22⋊C4—891no—
1140C2×C22⋊C4—891no—
1141C2×C22⋊C4—891no—
1142C2×C22⋊C4—891no—
1143C2×C22⋊C4—891no—
1144C2×C22⋊C4—891no—
1145C2×C22⋊C4—1784no—
1146C2×C22⋊C4C22×D8911yescharacteristic
1147C2×C22⋊C4C22×D8911yescharacteristic
1148C2×C22⋊C4C22×D8911yescharacteristic
1149C2×C22⋊C4C22×D8911yescharacteristic
1150C2×C22⋊C4C22×D8911yescharacteristic
1151C2×C22⋊C4C22×D8911yescharacteristic
1152C2×C22⋊C4C22×D8911yescharacteristic
1153C2×C22⋊C4C22×D8911yescharacteristic
1154C2×C22⋊C4C22×D8911yescharacteristic
1155C2×C22⋊C4C22×D8911yescharacteristic
1156C2×C22⋊C4C22×D8911yescharacteristic
1157C2×C22⋊C4C22×D8911yescharacteristic
1158C2×C42—42no—
1159C2×C42—891no—
1160C2×C42—891no—
1161C2×C42—891no—
1162C2×C42—891no—
1163C2×C42—891no—
1164C2×C42—891no—
1165C2×C42C22×D8911yescharacteristic
1166C2×C42C22×D8911yescharacteristic
1167C2×C42C22×D8911yescharacteristic
1168C2×C42C22×D8911yescharacteristic
1169#95—891no—
1170#95—891no—
1171#95—891no—
1172#95—891no—
1173#95—891no—
1174#95—891no—
1175#95—891no—
1176#95—891no—
1177#95—891no—
1178#95—891no—
1179#95—891no—
1180#95—891no—
1181#95—891no—
1182#95—891no—
1183#95—891no—
1184#95—891no—
1185#95—891no—
1186#95—891no—
1187#95—891no—
1188#95—891no—
1189#95—891no—
1190#95—891no—
1191#95—891no—
1192#95—891no—
1193#95—891no—
1194#95—891no—
1195#95—891no—
1196#95—891no—
1197#95C22×D8911yescharacteristic
1198#95C22×D8911yescharacteristic
1199#95C22×D8911yescharacteristic
1200#95C22×D8911yescharacteristic
1201#95C22×D8911yescharacteristic
1202#95C22×D8911yescharacteristic
1203C24—891no—
1204C24—891no—
1205C24—891no—
1206C24—891no—
1207C24—3561no—
1208C24—3561no—
1209C24—3561no—
1210C24—3561no—
1211C24—3561no—
1212C24—3561no—
1213C24—1782no—
1214C24C23×D8911yescharacteristic
1215C24C23×D8911yescharacteristic
1216C24C23×D8911yescharacteristic
1217#41—35616no—
1218C2×Q8—3561no—
1219C2×Q8—1782no—
1220C2×Q8—1782no—
1221C2×D4—22no—
1222C2×D4—22no—
1223C2×D4—22no—
1224C2×D4—41no—
1225C2×D4—41no—
1226C2×D4—41no—
1227C2×D4—41no—
1228C2×D4—41no—
1229C2×D4—41no—
1230C2×D4—3561no—
1231C2×D4—3561no—
1232C2×D4—3561no—
1233C2×D4—3561no—
1234C2×D4—3561no—
1235C2×D4—3561no—
1236C2×D4—3561no—
1237C2×D4—3561no—
1238C2×D4—3561no—
1239C2×D4—3561no—
1240C2×D4—3561no—
1241C2×D4—3561no—
1242C2×D4—3561no—
1243C2×D4—3561no—
1244C2×D4—3561no—
1245C2×D4—3561no—
1246C2×D4—3561no—
1247C2×D4—3561no—
1248C2×D4—3561no—
1249C2×D4—3561no—
1250C2×D4—3561no—
1251C2×D4—3561no—
1252C2×D4—3561no—
1253C2×D4—3561no—
1254C2×D4—3561no—
1255C2×D4—3561no—
1256C2×D4—3561no—
1257C2×D4—3561no—
1258C2×D4—3561no—
1259C2×D4—3561no—
1260C2×D4—3561no—
1261C2×D4—3561no—
1262C2×D4—3561no—
1263C2×D4—1782no—
1264C2×D4—1782no—
1265C2×D4—1782no—
1266C2×D4—1782no—
1267C2×D4—1782no—
1268C2×D4—1782no—
1269C2×D4—1782no—
1270C2×D4—1782no—
1271C2×D4—1782no—
1272C2×D4—1782no—
1273C2×D4—1782no—
1274C2×D4—1782no—
1275C22×C4—22no—
1276C22×C4—22no—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—22no—
1281C22×C4—22no—
1282C22×C4—41no—
1283C22×C4—41no—
1284C22×C4—891no—
1285C22×C4—894no—
1286C22×C4—891no—
1287C22×C4—891no—
1288C22×C4—891no—
1289C22×C4—891no—
1290C22×C4—891no—
1291C22×C4—891no—
1292C22×C4—891no—
1293C22×C4—891no—
1294C22×C4—891no—
1295C22×C4—891no—
1296C22×C4—891no—
1297C22×C4—3561no—
1298C22×C4—3561no—
1299C22×C4—3561no—
1300C22×C4—3561no—
1301C22×C4—3561no—
1302C22×C4—3561no—
1303C22×C4—3561no—
1304C22×C4—3561no—
1305C22×C4—3561no—
1306C22×C4—3561no—
1307C22×C4—3561no—
1308C22×C4—3561no—
1309C22×C4—1782no—
1310C22×C4—1782no—
1311C22×C4C23×D8911yescharacteristic
1312C22×C4C23×D8911yescharacteristic
1313C22×C4C23×D8911yescharacteristic
1314C22×C4C23×D8911yescharacteristic
1315C22×C4C23×D8911yescharacteristic
1316C22×C4C23×D8911yescharacteristic
1317C22×C4C23×D8911yescharacteristic
1318C22×C4C23×D8911yescharacteristic
1319C22×C4C23×D8911yescharacteristic
1320C22×C4C23×D8911yescharacteristic
1321C22×C4C23×D8911yescharacteristic
1322C22×C4C23×D8911yescharacteristic
1323C4⋊C4—22no—
1324C4⋊C4—22no—
1325C4⋊C4—22no—
1326C4⋊C4—41no—
1327C4⋊C4—41no—
1328C4⋊C4—41no—
1329C4⋊C4—41no—
1330C4⋊C4—3561no—
1331C4⋊C4—3561no—
1332C4⋊C4—3561no—
1333C4⋊C4—3561no—
1334C4⋊C4—3561no—
1335C4⋊C4—3561no—
1336C4⋊C4—3561no—
1337C4⋊C4—3561no—
1338C4⋊C4—3561no—
1339C4⋊C4—3561no—
1340C4⋊C4—3561no—
1341C4⋊C4—3561no—
1342C4⋊C4—1782no—
1343C4⋊C4—1782no—
1344C4⋊C4—1782no—
1345C4⋊C4—1782no—
1346C4⋊C4—1782no—
1347C4⋊C4—1782no—
1348C22⋊C4—22no—
1349C22⋊C4—22no—
1350C22⋊C4—22no—
1351C22⋊C4—22no—
1352C22⋊C4—22no—
1353C22⋊C4—22no—
1354C22⋊C4—41no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
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—3561no—
1369C22⋊C4—3561no—
1370C22⋊C4—3561no—
1371C22⋊C4—3561no—
1372C22⋊C4—3561no—
1373C22⋊C4—3561no—
1374C22⋊C4—3561no—
1375C22⋊C4—3561no—
1376C22⋊C4—3561no—
1377C22⋊C4—3561no—
1378C22⋊C4—3561no—
1379C22⋊C4—3561no—
1380C22⋊C4—3561no—
1381C22⋊C4—3561no—
1382C22⋊C4—3561no—
1383C22⋊C4—3561no—
1384C22⋊C4—3561no—
1385C22⋊C4—3561no—
1386C22⋊C4—3561no—
1387C22⋊C4—3561no—
1388C22⋊C4—3561no—
1389C22⋊C4—3561no—
1390C22⋊C4—3561no—
1391C22⋊C4—3561no—
1392C22⋊C4—3561no—
1393C22⋊C4—3561no—
1394C22⋊C4—1782no—
1395C22⋊C4—1782no—
1396C22⋊C4—1782no—
1397C22⋊C4—1782no—
1398C22⋊C4—1782no—
1399C22⋊C4—1782no—
1400C22⋊C4—1782no—
1401C22⋊C4—1782no—
1402C22⋊C4—1782no—
1403C22⋊C4—1782no—
1404C22⋊C4—1782no—
1405C22⋊C4—1782no—
1406C42—41no—
1407C42—41no—
1408C42—41no—
1409C42—41no—
1410C42—3561no—
1411C42—3561no—
1412C42—3561no—
1413C42—3561no—
1414C42—3561no—
1415C42—3561no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—892no—
1437C23—3564no—
1438C23—1781no—
1439C23—1781no—
1440C23—1781no—
1441C23—1781no—
1442C23—1781no—
1443C23—1781no—
1444C23—1781no—
1445C23—1781no—
1446C23—1781no—
1447C23—1781no—
1448C23—1781no—
1449C23—1781no—
1450C23—1781no—
1451C23—1781no—
1452C23—1781no—
1453C23—1781no—
1454C23—1781no—
1455C23—1781no—
1456C23—1781no—
1457C23—1781no—
1458C23—1781no—
1459C23—1781no—
1460C23—1781no—
1461C23—1781no—
1462C23—1781no—
1463C23—1781no—
1464C23—1781no—
1465C23—7122no—
1466C23—7122no—
1467C23—7122no—
1468C23—7122no—
1469C23—7122no—
1470C23—7122no—
1471C23#1566805712yes—
1472C23C24×D8911yescharacteristic
1473Q8—3564no—
1474D4—82no—
1475D4—82no—
1476D4—82no—
1477D4—3564no—
1478D4—3564no—
1479D4—3564no—
1480D4—7122no—
1481D4—7122no—
1482D4—7122no—
1483D4—7122no—
1484D4—7122no—
1485D4—7122no—
1486D4—7122no—
1487D4—7122no—
1488D4—7122no—
1489D4—7122no—
1490D4—7122no—
1491D4—7122no—
1492C2×C4—28no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—44no—
1526C2×C4—44no—
1527C2×C4—892no—
1528C2×C4—3564no—
1529C2×C4—3564no—
1530C2×C4—1781no—
1531C2×C4—1781no—
1532C2×C4—1781no—
1533C2×C4—1781no—
1534C2×C4—1781no—
1535C2×C4—1781no—
1536C2×C4—1781no—
1537C2×C4—1781no—
1538C2×C4—1781no—
1539C2×C4—1781no—
1540C2×C4—1781no—
1541C2×C4—1781no—
1542C2×C4—1781no—
1543C2×C4—1781no—
1544C2×C4—1781no—
1545C2×C4—1781no—
1546C2×C4—1781no—
1547C2×C4—1781no—
1548C2×C4—1781no—
1549C2×C4—1781no—
1550C2×C4—1781no—
1551C2×C4—1781no—
1552C2×C4—1781no—
1553C2×C4—1781no—
1554C2×C4—1781no—
1555C2×C4—1781no—
1556C2×C4—1781no—
1557C2×C4—1781no—
1558C2×C4—1781no—
1559C2×C4—1781no—
1560C2×C4—1781no—
1561C2×C4—1781no—
1562C2×C4—1781no—
1563C2×C4—1781no—
1564C2×C4—1781no—
1565C2×C4—7122no—
1566C2×C4—7122no—
1567C2×C4—7122no—
1568C2×C4#41×D8912yes—
1569C2×C4#1566805712yes—
1570C2×C4#1566805812yes—
1571C2×C4#1566805812yes—
1572C22—22no—
1573C22—22no—
1574C22—22no—
1575C22—41no—
1576C22—41no—
1577C22—41no—
1578C22—41no—
1579C22—41no—
1580C22—41no—
1581C22—41no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—3561no—
1594C22—3561no—
1595C22—3561no—
1596C22—3561no—
1597C22—3561no—
1598C22—3561no—
1599C22—3561no—
1600C22—3561no—
1601C22—3561no—
1602C22—3561no—
1603C22—3561no—
1604C22—3561no—
1605C22—3561no—
1606C22—3561no—
1607C22—3561no—
1608C22—3561no—
1609C22—3561no—
1610C22—3561no—
1611C22—3561no—
1612C22—3561no—
1613C22—3561no—
1614C22—3561no—
1615C22—3561no—
1616C22—3561no—
1617C22—3561no—
1618C22—1782no—
1619C22—1782no—
1620C22—1782no—
1621C22—7128no—
1622C22C2×#41×D8911yescharacteristic
1623C22C2×#1566805711yescharacteristic
1624C22C2×#1566805711yescharacteristic
1625C22C2×#1566805811yescharacteristic
1626C22C2×#1566805811yescharacteristic
1627C22#1915243411yescharacteristic
1628C22#1915243411yescharacteristic
1629C4—22no—
1630C4—22no—
1631C4—22no—
1632C4—22no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—3561no—
1642C4—3561no—
1643C4—3561no—
1644C4—3561no—
1645C4—3561no—
1646C4—3561no—
1647C4—3561no—
1648C4—3561no—
1649C4—3561no—
1650C4—3561no—
1651C4—3561no—
1652C4—1782no—
1653C2—42no—
1654C2—81no—
1655C2—81no—
1656C2—3562no—
1657C2—7121no—
1658C2—7121no—
1659C2—7121no—
1660C2#2603363511yescharacteristic
1661C2#2603393511yescharacteristic
1662C2#2603412111yescharacteristic
1663C2#2603444211yescharacteristic
1664C2#2603444611yescharacteristic
1665C2#2603462411yescharacteristic
1666C2#2603462611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D89
commutator, socle, cosocleC23×C89C25
FittingC89×#2854C2
hypercenter#2854D89
hypocenterC89#36812
LCSG ▷ C23×C89 ▷ C89
UCSC1 ◁ C23 ◁ #2854

Complements

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

NH ≅ G/Ntype
1. #26028583C2semidirect
2. #26028128C2semidirect
3. #26028120C2semidirect
4. #26026992C2semidirect
5. #26026991C2semidirect
6. #26026925C2semidirect
7. #26026923C2semidirect
8. #26026922C2semidirect
9. #26026921C2semidirect
10. #26026761C2semidirect
11. #26026757C2semidirect
12. #26026580C2semidirect
13. #26026575C2semidirect
14. #26026572C2semidirect
15. #26026571C2semidirect
16. #26026518C2semidirect
17. #26026514C2semidirect
18. #26026238C2semidirect
19. #26026236C2semidirect
20. #26025920C2semidirect
21. #26025388C2semidirect
22. #26025386C2semidirect
23. #26025181C2semidirect
24. #26024362C2semidirect
25. #26024360C2semidirect
26. #26023869C2semidirect
27. #26023569C2semidirect
28. #26023015C2semidirect
29. #26022846C2semidirect
30. #26022742C2semidirect
31. C89×#2854C2semidirect
33. C2×#15668008C22semidirect
34. C2×#15668007C22semidirect
35. C2×#15668007C22semidirect
36. C2×#15667998C22semidirect
40. C2×#15667995C22semidirect
51. C2×#15667971C22semidirect
53. #19151539C22semidirect
54. #19151537C22semidirect
55. #19151536C22semidirect
56. #19151536C22semidirect
57. #19151535C22semidirect
59. #19151534C22semidirect
62. #19151526C22semidirect
64. #19151525C22semidirect
67. #19151522C22semidirect
68. #19151521C22semidirect
69. #19151521C22semidirect
74. #19151520C22semidirect
78. #19151515C22semidirect
79. #19151515C22semidirect
83. #19151514C22semidirect
85. #19151513C22semidirect
101. #19151504C22semidirect
102. #19151504C22semidirect
103. #19151502C22semidirect
114. #19151498C22semidirect
115. #19151497C22semidirect
116. #19151496C22semidirect
117. #19151496C22semidirect
118. #19151493C22semidirect
125. #19151489C22semidirect
126. #19151489C22semidirect
131. #19151485C22semidirect
132. #19151484C22semidirect
133. #19151483C22semidirect
134. #19151481C22semidirect
135. #19151481C22semidirect
136. #19151480C22semidirect
137. #19151479C22semidirect
138. #19151479C22semidirect
139. #19151478C22semidirect
143. #19151477C22semidirect
144. #19151477C22semidirect
145. #19151477C22semidirect
149. #19151476C22semidirect
151. #19151475C22semidirect
154. #19151474C22semidirect
155. #19151474C22semidirect
156. #19151474C22semidirect
157. #19151473C22semidirect
158. #19151469C22semidirect
160. #19151458C22semidirect
165. C22⋊C4×Dic89C22semidirect
168. C4×#13083551C22semidirect
169. C4×#13083551C22semidirect
171. #19151445C22semidirect
173. C2×#123×C89C22semidirect
175. C22×C42×C89C22semidirect
178. #389×C89C22semidirect
179. #389×C89C22semidirect
182. #388×C89C22semidirect
183. #388×C89C22semidirect
185. #386×C89C22semidirect
186. #380×C89C22semidirect
835. #2854D89semidirect
865. C89#36812semidirect
878. C2×#123C2×D89semidirect
890. C22×C42C2×D89semidirect
959. #389C2×D89semidirect
960. #389C2×D89semidirect
975. #388C2×D89semidirect
976. #388C2×D89semidirect
1004. #386C2×D89semidirect
1011. #380C2×D89semidirect

Maximal subgroups

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

subgroupindex
#260285832
#260281282
#260281202
#260269922
#260269912
#260269252
#260269232
#260269222
#260269212
#260267612
#260267572
#260265802
#260265752
#260265722
#260265712
#260265182
#260265142
#260262382
#260262362
#260259202
#260253882
#260253862
#260251812
#260243622
#260243602
#260238692
#260235692
#260230152
#260228462
#260227422
C89×#28542
#3681289