Finite Group Databasebeta

← #36763710

Subgroups — #36763710

Order 22784.

2078 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#26028565C211yesmaximal, characteristic, complemented
2#26028560C211yesmaximal, characteristic, complemented
3#26028100C211yesmaximal, characteristic, complemented
4#26027961C211yesmaximal, characteristic, complemented
5#26027582C211yesmaximal, characteristic, complemented
6#26027352C211yesmaximal, characteristic, complemented
7#26027307C211yesmaximal, characteristic, complemented
8#26027170C211yesmaximal, characteristic, complemented
9#26027011C211yesmaximal, characteristic, complemented
10#26027002C211yesmaximal, characteristic, complemented
11#26026959C211yesmaximal, characteristic, complemented
12#26026936C211yesmaximal, characteristic, complemented
13#26026929C211yesmaximal, characteristic, complemented
14#26026921C211yesmaximal, characteristic, complemented
15#26026806C211yesmaximal, characteristic, complemented
16#26026776C211yesmaximal, characteristic, complemented
17#26026726C211yesmaximal, characteristic, complemented
18#26026610C211yesmaximal, characteristic, complemented
19#26026060C211yesmaximal, characteristic, complemented
20#26026029C211yesmaximal, characteristic, complemented
21#26024503C211yesmaximal, characteristic, complemented
22#26024398C211yesmaximal, characteristic, complemented
23#26024065C211yesmaximal, characteristic, complemented
24#26023913C211yesmaximal, characteristic, complemented
25#26023712C211yesmaximal, characteristic, complemented
26#26023627C211yesmaximal, characteristic
27#26023579C211yesmaximal, characteristic, complemented
28#26022913C211yesmaximal, characteristic, complemented
29#26022866C211yesmaximal, characteristic, complemented
30C2×#19151498C211yesmaximal, characteristic, complemented
31C89×#2412C211yesmaximal, characteristic, complemented
32C23×C22⋊D89C2211yescharacteristic
33C2×#15668007C2211yescharacteristic, complemented
34C2×#15668005C2211yescharacteristic, complemented
35C2×#15668003C2211yescharacteristic, complemented
36C2×#15668002C2211yescharacteristic, complemented
37C2×#15667996C2211yescharacteristic, complemented
38C2×#15667995C2211yescharacteristic
39C2×#15667995C2211yescharacteristic
40C2×#15667991C2211yescharacteristic
41C2×#15667989C2211yescharacteristic, complemented
42C2×#15667989C2211yescharacteristic, complemented
43C2×#15667984C2211yescharacteristic
44C2×#15667984C2211yescharacteristic
45C2×#15667980C2211yescharacteristic
46C2×D4×Dic89C2211yescharacteristic
47C22×#13083553C2211yescharacteristic
48C22×C22⋊Dic89C2211yescharacteristic
49C22×C22⋊Dic89C2211yescharacteristic
50C22×#13083551C2211yescharacteristic
51C22×#13083551C2211yescharacteristic
52C22×C4×Dic89C2211yescharacteristic
53#19151539C2211yescharacteristic, complemented
54#19151535C2211yescharacteristic, complemented
55#19151535C2211yescharacteristic, complemented
56#19151535C2211yescharacteristic, complemented
57#19151534C2211yescharacteristic, complemented
58#19151534C2211yescharacteristic, complemented
59#19151532C2211yescharacteristic, complemented
60#19151532C2211yescharacteristic, complemented
61#19151529C2211yescharacteristic, complemented
62#19151528C2211yescharacteristic, complemented
63#19151527C2211yescharacteristic, complemented
64#19151527C2211yescharacteristic, complemented
65#19151527C2211yescharacteristic, complemented
66#19151525C2211yescharacteristic, complemented
67#19151525C2211yescharacteristic, complemented
68#19151525C2211yescharacteristic, complemented
69#19151525C2211yescharacteristic, complemented
70#19151524C2211yescharacteristic, complemented
71#19151521C2211yescharacteristic, complemented
72#19151521C2211yescharacteristic, complemented
73#19151521C2211yescharacteristic, complemented
74#19151520C2211yescharacteristic, complemented
75#19151520C2211yescharacteristic, complemented
76#19151520C2211yescharacteristic, complemented
77#19151520C2211yescharacteristic, complemented
78#19151520C2211yescharacteristic, complemented
79#19151519C2211yescharacteristic, complemented
80#19151514C2211yescharacteristic, complemented
81#19151514C2211yescharacteristic, complemented
82#19151514C2211yescharacteristic, complemented
83#19151514C2211yescharacteristic, complemented
84#19151513C2211yescharacteristic
85#19151513C2211yescharacteristic
86#19151513C2211yescharacteristic
87#19151513C2211yescharacteristic
88#19151513C2211yescharacteristic
89#19151513C2211yescharacteristic
90#19151513C2211yescharacteristic, complemented
91#19151513C2211yescharacteristic, complemented
92#19151511C2211yescharacteristic, complemented
93#19151511C2211yescharacteristic, complemented
94#19151510C2211yescharacteristic, complemented
95#19151506C2211yescharacteristic
96#19151506C2211yescharacteristic
97#19151501C2211yescharacteristic, complemented
98#19151501C2211yescharacteristic, complemented
99#19151498C2211yescharacteristic
100#19151498C2211yescharacteristic
101#19151498C2211yescharacteristic
102#19151498C2211yescharacteristic
103#19151498C2211yescharacteristic
104#19151498C2211yescharacteristic
105#19151498C2211yescharacteristic
106#19151498C2211yescharacteristic
107#19151497C2211yescharacteristic, complemented
108#19151495C2211yescharacteristic, complemented
109#19151495C2211yescharacteristic, complemented
110#19151494C2211yescharacteristic, complemented
111#19151492C2211yescharacteristic, complemented
112#19151491C2211yescharacteristic, complemented
113#19151491C2211yescharacteristic, complemented
114#19151491C2211yescharacteristic, complemented
115#19151491C2211yescharacteristic, complemented
116#19151491C2211yescharacteristic, complemented
117#19151490C2211yescharacteristic, complemented
118#19151490C2211yescharacteristic, complemented
119#19151490C2211yescharacteristic, complemented
120#19151488C2211yescharacteristic, complemented
121#19151487C2211yescharacteristic, complemented
122#19151486C2211yescharacteristic, complemented
123#19151485C2211yescharacteristic, complemented
124#19151485C2211yescharacteristic, complemented
125#19151485C2211yescharacteristic, complemented
126#19151485C2211yescharacteristic, complemented
127#19151483C2211yescharacteristic, complemented
128#19151481C2211yescharacteristic, complemented
129#19151481C2211yescharacteristic, complemented
130#19151480C2211yescharacteristic, complemented
131#19151480C2211yescharacteristic, complemented
132#19151479C2211yescharacteristic, complemented
133#19151478C2211yescharacteristic
134#19151478C2211yescharacteristic
135#19151478C2211yescharacteristic, complemented
136#19151478C2211yescharacteristic, complemented
137#19151477C2211yescharacteristic
138#19151477C2211yescharacteristic
139#19151475C2211yescharacteristic
140#19151475C2211yescharacteristic
141#19151475C2211yescharacteristic, complemented
142#19151473C2211yescharacteristic
143#19151473C2211yescharacteristic
144#19151473C2211yescharacteristic
145#19151473C2211yescharacteristic
146#19151473C2211yescharacteristic
147#19151473C2211yescharacteristic, complemented
148#19151473C2211yescharacteristic, complemented
149#19151473C2211yescharacteristic, complemented
150#19151473C2211yescharacteristic, complemented
151#19151473C2211yescharacteristic, complemented
152#19151471C2211yescharacteristic
153#19151471C2211yescharacteristic
154#19151470C2211yescharacteristic
155#19151470C2211yescharacteristic
156#19151470C2211yescharacteristic
157#19151470C2211yescharacteristic, complemented
158#19151470C2211yescharacteristic, complemented
159#19151465C2211yescharacteristic, complemented
160#19151463C2211yescharacteristic, complemented
161#19151458C2211yescharacteristic
162#19151458C2211yescharacteristic, complemented
163#19151458C2211yescharacteristic, complemented
164#19151458C2211yescharacteristic, complemented
165#19151458C2211yescharacteristic, complemented
166#19151456C2211yescharacteristic, complemented
167#19151454C2211yescharacteristic
168#19151453C2211yescharacteristic
169#19151453C2211yescharacteristic
170#19151453C2211yescharacteristic
171C22⋊C4×Dic89C2211yescharacteristic
172C2×#123×C89C2211yescharacteristic, complemented
173C2×#120×C89C2211yescharacteristic
174C22×C22⋊C4×C89C2211yescharacteristic
175C22×C22⋊C4×C89C2211yescharacteristic
176#397×C89C2211yescharacteristic, complemented
177#397×C89C2211yescharacteristic, complemented
178#394×C89C2211yescharacteristic, complemented
179#394×C89C2211yescharacteristic, complemented
180#386×C89C2211yescharacteristic
181#386×C89C2211yescharacteristic
182#386×C89C2211yescharacteristic, complemented
183#385×C89C2211yescharacteristic, complemented
184#381×C89C2211yescharacteristic, complemented
185#380×C89C2211yescharacteristic
186#380×C89C2211yescharacteristic
187C24×D89C2311yescharacteristic
188C22×Dic178C2311yescharacteristic
189C22×C22⋊D89—24no—
190C22×C22⋊D89—42no—
191C22×C22⋊D89—42no—
192C22×C22⋊D89C2311yescharacteristic
193C22×C22⋊D89C2311yescharacteristic
194C22×C22⋊D89C2311yescharacteristic
195C22×C22⋊D89C2311yescharacteristic
196C22×C22⋊D89C2311yescharacteristic
197C22×C22⋊D89C2311yescharacteristic
198C23×Dic89C2311yescharacteristic
199C23×Dic89C2311yescharacteristic
200C23×Dic89C2311yescharacteristic
201C23×Dic89C2311yescharacteristic
202C23×Dic89C2311yescharacteristic
203C23×Dic89C2311yescharacteristic
204#15668007—42no—
205#15668005—42no—
206#15668003—42no—
207#15668002—42no—
208#15667996—42no—
209#15667995—42no—
210#15667995—42no—
211#15667991—42no—
212#15667989—42no—
213#15667989—42no—
214#15667984—42no—
215#15667984—42no—
216#15667980—42no—
217D4×Dic89—42no—
218C2×C4⋊Dic89C2311yescharacteristic
219C2×C4⋊Dic89C2311yescharacteristic
220C2×C4⋊Dic89C2311yescharacteristic
221C2×C4⋊Dic89C2311yescharacteristic
222C2×C4⋊Dic89C2311yescharacteristic
223C2×C4⋊Dic89C2311yescharacteristic
224C2×C4⋊Dic89C2311yescharacteristic
225C2×C4⋊Dic89C2311yescharacteristic
226C2×C4⋊Dic89C2311yescharacteristic
227C2×C4⋊Dic89C2311yescharacteristic
228C2×C4⋊Dic89C2311yescharacteristic
229C2×C4⋊Dic89C2311yescharacteristic
230C2×C4⋊Dic89C2311yescharacteristic
231C2×C4⋊Dic89C2311yescharacteristic
232C2×#13083553—42no—
233C2×#13083553C2311yescharacteristic
234C2×#13083553C2311yescharacteristic
235C2×#13083553C2311yescharacteristic
236C2×#13083553C2311yescharacteristic
237C2×#13083553C2311yescharacteristic
238C2×#13083553C2311yescharacteristic
239C2×#13083553C2311yescharacteristic
240C2×#13083553C2311yescharacteristic
241C2×#13083553C2311yescharacteristic
242C2×#13083553C2311yescharacteristic
243C2×#13083553C2311yescharacteristic
244C2×#13083553C2311yescharacteristic
245C2×#13083553C2311yescharacteristic
246C2×#13083553C2311yescharacteristic
247C2×#13083553C2311yescharacteristic
248C2×#13083553C2311yescharacteristic
249C2×C22⋊Dic89—42no—
250C2×C22⋊Dic89—42no—
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×C22⋊Dic89C2311yescharacteristic
262C2×C22⋊Dic89C2311yescharacteristic
263C2×C22⋊Dic89C2311yescharacteristic
264C2×C22⋊Dic89C2311yescharacteristic
265C2×C22⋊Dic89C2311yescharacteristic
266C2×C22⋊Dic89C2311yescharacteristic
267C2×C22⋊Dic89C2311yescharacteristic
268C2×C22⋊Dic89C2311yescharacteristic
269C2×C22⋊Dic89C2311yescharacteristic
270C2×#13083551—42no—
271C2×#13083551—42no—
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×C4×Dic89—42no—
295C2×C4×Dic89C2311yescharacteristic
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
330C25×C89C2311yescharacteristic
331C22×D4×C89C2311yescharacteristic
332C22×D4×C89C2311yescharacteristic
333C22×D4×C89C2311yescharacteristic
334C23×C4×C89C2311yescharacteristic
335C23×C4×C89C2311yescharacteristic
336C23×C4×C89C2311yescharacteristic
337C23×C4×C89C2311yescharacteristic
338#123×C89—42no—
339#120×C89—24no—
340C2×C4⋊C4×C89C2311yescharacteristic
341C2×C4⋊C4×C89C2311yescharacteristic
342C2×C4⋊C4×C89C2311yescharacteristic
343C2×C4⋊C4×C89C2311yescharacteristic
344C2×C22⋊C4×C89—24no—
345C2×C22⋊C4×C89—42no—
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×C22⋊C4×C89C2311yescharacteristic
359C2×C22⋊C4×C89C2311yescharacteristic
360C2×C22⋊C4×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—41no—
373C23×D89—41no—
374C23×D89—41no—
375C23×D89—41no—
376C23×D89C2411yescharacteristic
377C23×D89C2411yescharacteristic
378C2×Dic178—41no—
379C2×Dic178—41no—
380C2×Dic178—41no—
381C2×C22⋊D89—22no—
382C2×C22⋊D89—22no—
383C2×C22⋊D89—22no—
384C2×C22⋊D89—22no—
385C2×C22⋊D89—22no—
386C2×C22⋊D89—22no—
387C2×C22⋊D89—22no—
388C2×C22⋊D89—22no—
389C2×C22⋊D89—41no—
390C2×C22⋊D89—41no—
391C2×C22⋊D89—41no—
392C2×C22⋊D89—41no—
393C2×C22⋊D89—416no—
394C2×C22⋊D89—41no—
395C2×C22⋊D89—41no—
396C2×C22⋊D89—41no—
397C2×C22⋊D89—41no—
398C2×C22⋊D89—41no—
399C2×C22⋊D89—41no—
400C22×Dic89—22no—
401C22×Dic89—22no—
402C22×Dic89—22no—
403C22×Dic89—22no—
404C22×Dic89—22no—
405C22×Dic89—41no—
406C22×Dic89—41no—
407C22×Dic89—41no—
408C22×Dic89—41no—
409C22×Dic89—41no—
410C22×Dic89—41no—
411C22×Dic89—41no—
412C22×Dic89—41no—
413C22×Dic89—41no—
414C22×Dic89—41no—
415C22×Dic89—41no—
416C22×Dic89—41no—
417C22×Dic89—41no—
418C22×Dic89C2411yescharacteristic
419C22×Dic89C2411yescharacteristic
420C22×Dic89C2411yescharacteristic
421C22×Dic89C2411yescharacteristic
422C22×Dic89C2411yescharacteristic
423C22×Dic89C2411yescharacteristic
424C22×Dic89C2411yescharacteristic
425C22×Dic89C2411yescharacteristic
426C22×Dic89C2411yescharacteristic
427C22×Dic89C2411yescharacteristic
428C22×Dic89C2411yescharacteristic
429C22×Dic89C2411yescharacteristic
430C22×Dic89C2411yescharacteristic
431C22×Dic89C2411yescharacteristic
432C4⋊Dic89—22no—
433C4⋊Dic89—41no—
434C4⋊Dic89—41no—
435C4⋊Dic89—41no—
436C4⋊Dic89—41no—
437C4⋊Dic89—41no—
438C4⋊Dic89—41no—
439C4⋊Dic89—41no—
440C4⋊Dic89—41no—
441C4⋊Dic89—41no—
442C4⋊Dic89—41no—
443C4⋊Dic89—41no—
444C4⋊Dic89—41no—
445C4⋊Dic89—41no—
446#13083553—22no—
447#13083553—22no—
448#13083553—22no—
449#13083553—22no—
450#13083553—22no—
451#13083553—22no—
452#13083553—22no—
453#13083553—22no—
454#13083553—22no—
455#13083553—41no—
456#13083553—41no—
457#13083553—41no—
458#13083553—41no—
459#13083553—41no—
460#13083553—41no—
461#13083553—41no—
462C22⋊Dic89—22no—
463C22⋊Dic89—22no—
464C22⋊Dic89—22no—
465C22⋊Dic89—22no—
466C22⋊Dic89—22no—
467C22⋊Dic89—22no—
468C22⋊Dic89—41no—
469C22⋊Dic89—41no—
470C22⋊Dic89—41no—
471C22⋊Dic89—41no—
472C22⋊Dic89—41no—
473C22⋊Dic89—41no—
474C22⋊Dic89—41no—
475C22⋊Dic89—41no—
476C22⋊Dic89—41no—
477C22⋊Dic89—41no—
478C22⋊Dic89—41no—
479C22⋊Dic89—41no—
480C22⋊Dic89—41no—
481#13083551—22no—
482#13083551—22no—
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—
496#13083551—41no—
497#13083551—41no—
498#13083551—41no—
499#13083551—41no—
500#13083551—41no—
501#13083551—41no—
502#13083551—41no—
503C4×Dic89—22no—
504C4×Dic89—22no—
505C4×Dic89—41no—
506C4×Dic89—41no—
507C4×Dic89—41no—
508C4×Dic89—41no—
509C4×Dic89—41no—
510C24×C89—22no—
511C24×C89—22no—
512C24×C89—41no—
513C24×C89—41no—
514C24×C89—41no—
515C24×C89—41no—
516C24×C89#4114yes—
517C24×C89C2411yescharacteristic
518C24×C89C2411yescharacteristic
519C24×C89C2411yescharacteristic
520C24×C89C2411yescharacteristic
521C2×D4×C89—22no—
522C2×D4×C89—22no—
523C2×D4×C89—22no—
524C2×D4×C89—22no—
525C2×D4×C89—22no—
526C2×D4×C89—41no—
527C2×D4×C89—41no—
528C2×D4×C89—41no—
529C2×D4×C89—41no—
530C22×C4×C89—22no—
531C22×C4×C89—22no—
532C22×C4×C89—22no—
533C22×C4×C89—22no—
534C22×C4×C89—22no—
535C22×C4×C89—41no—
536C22×C4×C89—41no—
537C22×C4×C89—41no—
538C22×C4×C89—41no—
539C22×C4×C89—41no—
540C22×C4×C89—41no—
541C22×C4×C89—41no—
542C22×C4×C89C2411yescharacteristic
543C22×C4×C89C2411yescharacteristic
544C22×C4×C89C2411yescharacteristic
545C22×C4×C89C2411yescharacteristic
546C22×C4×C89C2411yescharacteristic
547C22×C4×C89C2411yescharacteristic
548C22×C4×C89C2411yescharacteristic
549C22×C4×C89C2411yescharacteristic
550C22×C4×C89C2411yescharacteristic
551C22×C4×C89C2411yescharacteristic
552C22×C4×C89C2411yescharacteristic
553C4⋊C4×C89—22no—
554C4⋊C4×C89—41no—
555C4⋊C4×C89—41no—
556C4⋊C4×C89—41no—
557C22⋊C4×C89—22no—
558C22⋊C4×C89—22no—
559C22⋊C4×C89—22no—
560C22⋊C4×C89—22no—
561C22⋊C4×C89—22no—
562C22⋊C4×C89—22no—
563C22⋊C4×C89—22no—
564C22⋊C4×C89—22no—
565C22⋊C4×C89—22no—
566C22⋊C4×C89—22no—
567C22⋊C4×C89—41no—
568C22⋊C4×C89—41no—
569C22⋊C4×C89—41no—
570C22⋊C4×C89—41no—
571C22⋊C4×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×C89—21no—
586C23×C89—21no—
587C23×C89—21no—
588C23×C89—28no—
589C23×C89—21no—
590C23×C89—21no—
591C23×C89—21no—
592C23×C89—21no—
593C23×C89—21no—
594C23×C89—21no—
595C23×C89—21no—
596C23×C89—44no—
597C23×C89—44no—
598C23×C89—82no—
599C23×C89—82no—
600C23×C89—82no—
601C23×C89—82no—
602C23×C89C2×#4112yes—
603C23×C89C2×#4112yes—
604C23×C89C2×#4112yes—
605C23×C89H(5,𝔽2)12yes—
606C23×C892−1+412yes—
607C23×C89C2511yescharacteristic
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—44no—
623C22×D89—44no—
624C22×D89—44no—
625C22×D89—82no—
626C22×D89—82no—
627C22×D89—82no—
628C22×D89—82no—
629D4×C89—44no—
630D4×C89—82no—
631D4×C89—82no—
632C2×C4×C89—21no—
633C2×C4×C89—21no—
634C2×C4×C89—21no—
635C2×C4×C89—21no—
636C2×C4×C89—21no—
637C2×C4×C89—21no—
638C2×C4×C89—21no—
639C2×C4×C89—21no—
640C2×C4×C89—21no—
641C2×C4×C89—21no—
642C2×C4×C89—21no—
643C2×C4×C89—21no—
644C2×C4×C89—21no—
645C2×C4×C89—21no—
646C2×C4×C89—21no—
647C2×C4×C89—21no—
648C2×C4×C89—21no—
649C2×C4×C89—21no—
650C2×C4×C89—21no—
651C2×C4×C89—21no—
652C2×C4×C89—21no—
653C2×C4×C89—21no—
654C2×C4×C89—21no—
655C2×C4×C89—21no—
656C2×C4×C89—21no—
657C2×C4×C89—21no—
658C2×C4×C89—21no—
659C2×C4×C89—21no—
660C2×C4×C89—21no—
661C2×C4×C89—21no—
662C2×C4×C89—21no—
663C2×C4×C89—21no—
664C2×C4×C89—44no—
665C2×C4×C89—82no—
666C2×C4×C89—82no—
667C2×C4×C89—82no—
668C2×C4×C89H(5,𝔽2)12yes—
669C22⋊D89—44no—
670C22⋊D89—44no—
671C22⋊D89—44no—
672C22⋊D89—44no—
673C22⋊D89—82no—
674C22⋊D89—82no—
675C2×Dic89—28no—
676C2×Dic89—21no—
677C2×Dic89—21no—
678C2×Dic89—21no—
679C2×Dic89—21no—
680C2×Dic89—21no—
681C2×Dic89—21no—
682C2×Dic89—21no—
683C2×Dic89—21no—
684C2×Dic89—21no—
685C2×Dic89—21no—
686C2×Dic89—21no—
687C2×Dic89—21no—
688C2×Dic89—21no—
689C2×Dic89—21no—
690C2×Dic89—21no—
691C2×Dic89—21no—
692C2×Dic89—21no—
693C2×Dic89—21no—
694C2×Dic89—21no—
695C2×Dic89—21no—
696C2×Dic89—21no—
697C2×Dic89—21no—
698C2×Dic89—21no—
699C2×Dic89—21no—
700C2×Dic89—21no—
701C2×Dic89—21no—
702C2×Dic89—21no—
703C2×Dic89—21no—
704C2×Dic89—21no—
705C2×Dic89—21no—
706C2×Dic89—21no—
707C2×Dic89—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—44no—
717C2×Dic89—82no—
718C2×Dic89—82no—
719C2×Dic89—82no—
720C2×Dic89—82no—
721C2×Dic89H(5,𝔽2)12yes—
722C2×Dic89H(5,𝔽2)12yes—
723Dic178—82no—
724C22×C89—22no—
725C22×C89—22no—
726C22×C89—22no—
727C22×C89—22no—
728C22×C89—22no—
729C22×C89—22no—
730C22×C89—22no—
731C22×C89—22no—
732C22×C89—22no—
733C22×C89—22no—
734C22×C89—22no—
735C22×C89—22no—
736C22×C89—41no—
737C22×C89—41no—
738C22×C89—41no—
739C22×C89—41no—
740C22×C89—41no—
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—88no—
752C22×C89#53914yes—
753C22×C89C22×#4111yescharacteristic
754C22×C89C2×H(5,𝔽2)11yescharacteristic
755C22×C89C2×H(5,𝔽2)11yescharacteristic
756C22×C89C2×H(5,𝔽2)11yescharacteristic
757C22×C89C2×H(5,𝔽2)11yescharacteristic
758C22×C89C2×2−1+411yescharacteristic
759C22×C89#58511yescharacteristic
760C2×D89—41no—
761C2×D89—41no—
762C2×D89—41no—
763C2×D89—41no—
764C2×D89—41no—
765C2×D89—41no—
766C2×D89—41no—
767C2×D89—41no—
768C2×D89—41no—
769C2×D89—41no—
770C2×D89—41no—
771C2×D89—41no—
772C2×D89—41no—
773C2×D89—41no—
774C2×D89—88no—
775C4×C89—22no—
776C4×C89—41no—
777C4×C89—41no—
778C4×C89—41no—
779C4×C89—41no—
780C4×C89—41no—
781C4×C89—41no—
782C4×C89—41no—
783C4×C89—41no—
784C4×C89—41no—
785C4×C89—41no—
786Dic89—22no—
787Dic89—22no—
788Dic89—41no—
789Dic89—41no—
790Dic89—41no—
791Dic89—41no—
792Dic89—41no—
793Dic89—41no—
794Dic89—41no—
795Dic89—41no—
796Dic89—41no—
797Dic89—41no—
798Dic89—41no—
799Dic89—41no—
800#36807—891nomaximal, Sylow
801C2×C89—24no—
802C2×C89—42no—
803C2×C89—42no—
804C2×C89—81no—
805C2×C89C2×#53911yescharacteristic
806C2×C89#349011yescharacteristic
807C2×C89#350511yescharacteristic
808C2×C89#353611yescharacteristic
809C2×C89#354211yescharacteristic
810C2×C89#354311yescharacteristic
811C2×C89#356111yescharacteristic
812D89—81no—
813D89—81no—
814#2852—891no—
815#2851—891no—
816#2796—891no—
817#2786—891no—
818#2757—891no—
819#2740—891no—
820#2737—891no—
821#2723—891no—
822#2711—891no—
823#2711—891no—
824#2707—891no—
825#2706—891no—
826#2705—891no—
827#2705—891no—
828#2696—891no—
829#2694—891no—
830#2691—891no—
831#2681—891no—
832#2626—891no—
833#2622—891no—
834#2480—891no—
835#2473—891no—
836#2449—891no—
837#2437—891no—
838#2418—891no—
839#2412D8911yescharacteristic, complemented
840#2410—891no—
841#2405—891no—
842#2321—891no—
843#2315—891no—
844C2×#390—891no—
845C89#3680711yescharacteristic, complemented, Sylow
846C23×D4—891no—
847C2×#126—891no—
848C2×#126—891no—
849C2×#125—891no—
850C2×#125—891no—
851C2×#123—891no—
852C2×#123—891no—
853C2×#123—891no—
854C2×#123C2×D8911yescharacteristic, complemented
855C2×C22⋊Q8—891no—
856C2×C22⋊Q8—891no—
857C2×C22⋊Q8—891no—
858C2×#121—891no—
859C2×#121—891no—
860C2×#120—891no—
861C2×#120C2×D8911yescharacteristic
862C2×C4×D4—891no—
863C22×C4⋊C4—891no—
864C22×C22⋊C4—891no—
865C22×C22⋊C4—891no—
866C22×C22⋊C4—891no—
867C22×C22⋊C4—891no—
868C22×C22⋊C4C2×D8911yescharacteristic
869C22×C22⋊C4C2×D8911yescharacteristic
870C22×C42—891no—
871#400—891no—
872#399—891no—
873#399—891no—
874#399—891no—
875#399—891no—
876#399—891no—
877#398—891no—
878#398—891no—
879#398—891no—
880#398—891no—
881#397—891no—
882#397—891no—
883#397—891no—
884#397—891no—
885#397—891no—
886#397—891no—
887#397—891no—
888#397—891no—
889#397C2×D8911yescharacteristic, complemented
890#397C2×D8911yescharacteristic, complemented
891#396—891no—
892#396—891no—
893#396—891no—
894#396—891no—
895#396—891no—
896#396—891no—
897#396—891no—
898#396—891no—
899#395—891no—
900#394—891no—
901#394—891no—
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#394C2×D8911yescharacteristic, complemented
913#394C2×D8911yescharacteristic, complemented
914#393—891no—
915#393—891no—
916#393—891no—
917#392—891no—
918#392—891no—
919#390—891no—
920#390—891no—
921#390—891no—
922#390—891no—
923#390—891no—
924#390—891no—
925#390—891no—
926#390—891no—
927#390—891no—
928#390—891no—
929#389—891no—
930#389—891no—
931#389—891no—
932#389—891no—
933#388—891no—
934#388—891no—
935#388—891no—
936#388—891no—
937#388—891no—
938#388—891no—
939#388—891no—
940#388—891no—
941#388—891no—
942#388—891no—
943#388—891no—
944#388—891no—
945#387—891no—
946#387—891no—
947#387—891no—
948#387—891no—
949#387—891no—
950#387—891no—
951#387—891no—
952#387—891no—
953#387—891no—
954#387—891no—
955#386—891no—
956#386—891no—
957#386—891no—
958#386—891no—
959#386—891no—
960#386—891no—
961#386—891no—
962#386—891no—
963#386—891no—
964#386C2×D8911yescharacteristic
965#386C2×D8911yescharacteristic
966#386C2×D8911yescharacteristic, complemented
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#385—891no—
976#385—891no—
977#385—891no—
978#385—891no—
979#385—891no—
980#385—891no—
981#385—891no—
982#385—891no—
983#385—891no—
984#385C2×D8911yescharacteristic, complemented
985#383—891no—
986#382—891no—
987#381C2×D8911yescharacteristic, complemented
988#380—891no—
989#380—891no—
990#380—891no—
991#380—891no—
992#380—891no—
993#380—891no—
994#380C2×D8911yescharacteristic
995#380C2×D8911yescharacteristic
996#379—891no—
997#379—891no—
998#379—891no—
999#379—891no—
1000C4×C22⋊C4—891no—
1001C25—891no—
1002C25C22×D8911yescharacteristic
1003C22×Q8—891no—
1004C22×D4—891no—
1005C22×D4—891no—
1006C22×D4—891no—
1007C22×D4—891no—
1008C22×D4—891no—
1009C22×D4—891no—
1010C22×D4—3562no—
1011C22×D4—3562no—
1012C22×D4—1784no—
1013C22×D4C22×D8911yescharacteristic
1014C22×D4C22×D8911yescharacteristic
1015C22×D4C22×D8911yescharacteristic
1016C23×C4—891no—
1017C23×C4—891no—
1018C23×C4—891no—
1019C23×C4—891no—
1020C23×C4—891no—
1021C23×C4—891no—
1022C23×C4C22×D8911yescharacteristic
1023C23×C4C22×D8911yescharacteristic
1024C23×C4C22×D8911yescharacteristic
1025C23×C4C22×D8911yescharacteristic
1026#126—3562no—
1027#126—3562no—
1028#125—3562no—
1029#125—3562no—
1030#123—42no—
1031#123—3562no—
1032#123—3562no—
1033#123—3562no—
1034C22⋊Q8—3562no—
1035C22⋊Q8—3562no—
1036C22⋊Q8—3562no—
1037#121—3562no—
1038#121—3562no—
1039#120—24no—
1040#120—3562no—
1041C4×D4—3562no—
1042C2×C4⋊C4—891no—
1043C2×C4⋊C4—891no—
1044C2×C4⋊C4—891no—
1045C2×C4⋊C4—891no—
1046C2×C4⋊C4—891no—
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—891no—
1071C2×C4⋊C4—891no—
1072C2×C4⋊C4—3562no—
1073C2×C4⋊C4C22×D8911yescharacteristic
1074C2×C4⋊C4C22×D8911yescharacteristic
1075C2×C4⋊C4C22×D8911yescharacteristic
1076C2×C4⋊C4C22×D8911yescharacteristic
1077C2×C22⋊C4—24no—
1078C2×C22⋊C4—42no—
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—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—3562no—
1121C2×C22⋊C4—3562no—
1122C2×C22⋊C4—3562no—
1123C2×C22⋊C4—3562no—
1124C2×C22⋊C4C22×D8911yescharacteristic
1125C2×C22⋊C4C22×D8911yescharacteristic
1126C2×C22⋊C4C22×D8911yescharacteristic
1127C2×C22⋊C4C22×D8911yescharacteristic
1128C2×C22⋊C4C22×D8911yescharacteristic
1129C2×C22⋊C4C22×D8911yescharacteristic
1130C2×C22⋊C4C22×D8911yescharacteristic
1131C2×C22⋊C4C22×D8911yescharacteristic
1132C2×C22⋊C4C22×D8911yescharacteristic
1133C2×C22⋊C4C22×D8911yescharacteristic
1134C2×C22⋊C4C22×D8911yescharacteristic
1135C2×C22⋊C4C22×D8911yescharacteristic
1136C2×C22⋊C4C22×D8911yescharacteristic
1137C2×C22⋊C4C22×D8911yescharacteristic
1138C2×C22⋊C4C22×D8911yescharacteristic
1139C2×C42—891no—
1140C2×C42—891no—
1141C2×C42—891no—
1142C2×C42—891no—
1143C2×C42—891no—
1144C2×C42—891no—
1145C2×C42—891no—
1146C2×C42—3562no—
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#95—891no—
1171#95—891no—
1172#95—891no—
1173#95—891no—
1174#95—891no—
1175#95C22×D8911yescharacteristic
1176#95C22×D8911yescharacteristic
1177#95C22×D8911yescharacteristic
1178#95C22×D8911yescharacteristic
1179#95C22×D8911yescharacteristic
1180#95C22×D8911yescharacteristic
1181#95C22×D8911yescharacteristic
1182#95C22×D8911yescharacteristic
1183C24—22no—
1184C24—22no—
1185C24—41no—
1186C24—41no—
1187C24—41no—
1188C24—41no—
1189C24—891no—
1190C24—891no—
1191C24—3561no—
1192C24—3561no—
1193C24—3561no—
1194C24—3561no—
1195C24—1782no—
1196C24—1782no—
1197C24—1782no—
1198C24#1308357314yes—
1199C24C23×D8911yescharacteristic
1200C24C23×D8911yescharacteristic
1201C24C23×D8911yescharacteristic
1202C24C23×D8911yescharacteristic
1203C2×Q8—3561no—
1204C2×Q8—3561no—
1205C2×Q8—3561no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—22no—
1210C2×D4—22no—
1211C2×D4—41no—
1212C2×D4—41no—
1213C2×D4—41no—
1214C2×D4—41no—
1215C2×D4—3561no—
1216C2×D4—3561no—
1217C2×D4—3561no—
1218C2×D4—3561no—
1219C2×D4—35616no—
1220C2×D4—3561no—
1221C2×D4—3561no—
1222C2×D4—3561no—
1223C2×D4—3561no—
1224C2×D4—3561no—
1225C2×D4—3561no—
1226C2×D4—1782no—
1227C2×D4—1782no—
1228C2×D4—1782no—
1229C2×D4—1782no—
1230C2×D4—1782no—
1231C2×D4—1782no—
1232C2×D4—1782no—
1233C2×D4—1782no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—41no—
1240C22×C4—41no—
1241C22×C4—41no—
1242C22×C4—41no—
1243C22×C4—41no—
1244C22×C4—41no—
1245C22×C4—41no—
1246C22×C4—891no—
1247C22×C4—891no—
1248C22×C4—891no—
1249C22×C4—891no—
1250C22×C4—891no—
1251C22×C4—891no—
1252C22×C4—891no—
1253C22×C4—891no—
1254C22×C4—891no—
1255C22×C4—891no—
1256C22×C4—891no—
1257C22×C4—891no—
1258C22×C4—891no—
1259C22×C4—891no—
1260C22×C4—3561no—
1261C22×C4—3561no—
1262C22×C4—3561no—
1263C22×C4—3561no—
1264C22×C4—3561no—
1265C22×C4—3561no—
1266C22×C4—3561no—
1267C22×C4—3561no—
1268C22×C4—3561no—
1269C22×C4—3561no—
1270C22×C4—3561no—
1271C22×C4—3561no—
1272C22×C4—3561no—
1273C22×C4—1782no—
1274C22×C4—1782no—
1275C22×C4—1782no—
1276C22×C4—1782no—
1277C22×C4—1782no—
1278C22×C4C23×D8911yescharacteristic
1279C22×C4C23×D8911yescharacteristic
1280C22×C4C23×D8911yescharacteristic
1281C22×C4C23×D8911yescharacteristic
1282C22×C4C23×D8911yescharacteristic
1283C22×C4C23×D8911yescharacteristic
1284C22×C4C23×D8911yescharacteristic
1285C22×C4C23×D8911yescharacteristic
1286C22×C4C23×D8911yescharacteristic
1287C22×C4C23×D8911yescharacteristic
1288C22×C4C23×D8911yescharacteristic
1289C4⋊C4—22no—
1290C4⋊C4—41no—
1291C4⋊C4—41no—
1292C4⋊C4—41no—
1293C4⋊C4—3561no—
1294C4⋊C4—3561no—
1295C4⋊C4—3561no—
1296C4⋊C4—3561no—
1297C4⋊C4—3561no—
1298C4⋊C4—3561no—
1299C4⋊C4—3561no—
1300C4⋊C4—3561no—
1301C4⋊C4—3561no—
1302C4⋊C4—3561no—
1303C4⋊C4—3561no—
1304C4⋊C4—3561no—
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—1782no—
1314C4⋊C4—1782no—
1315C4⋊C4—1782no—
1316C4⋊C4—1782no—
1317C4⋊C4—1782no—
1318C4⋊C4—1782no—
1319C4⋊C4—1782no—
1320C4⋊C4—1782no—
1321C4⋊C4—1782no—
1322C4⋊C4—1782no—
1323C22⋊C4—22no—
1324C22⋊C4—22no—
1325C22⋊C4—22no—
1326C22⋊C4—22no—
1327C22⋊C4—22no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
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—3561no—
1364C22⋊C4—3561no—
1365C22⋊C4—3561no—
1366C22⋊C4—3561no—
1367C22⋊C4—3561no—
1368C22⋊C4—3561no—
1369C22⋊C4—3561no—
1370C22⋊C4—3561no—
1371C22⋊C4—1782no—
1372C22⋊C4—1782no—
1373C22⋊C4—1782no—
1374C22⋊C4—1782no—
1375C22⋊C4—1782no—
1376C22⋊C4—1782no—
1377C22⋊C4—1782no—
1378C22⋊C4—1782no—
1379C42—3561no—
1380C42—3561no—
1381C42—3561no—
1382C42—3561no—
1383C42—3561no—
1384C42—1782no—
1385C42—1782no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—28no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—44no—
1411C23—44no—
1412C23—82no—
1413C23—82no—
1414C23—82no—
1415C23—82no—
1416C23—3564no—
1417C23—3564no—
1418C23—3564no—
1419C23—1781no—
1420C23—1781no—
1421C23—1781no—
1422C23—1781no—
1423C23—1781no—
1424C23—1781no—
1425C23—1781no—
1426C23—1781no—
1427C23—1781no—
1428C23—1781no—
1429C23—1781no—
1430C23—1781no—
1431C23—1781no—
1432C23—1781no—
1433C23—7122no—
1434C23—7122no—
1435C23—7122no—
1436C23—7122no—
1437C23C2×#1308357312yes—
1438C23C2×#1308357312yes—
1439C23C2×#1308357312yes—
1440C23#1566805812yes—
1441C23#1566805912yes—
1442C23C24×D8911yescharacteristic
1443Q8—7122no—
1444D4—44no—
1445D4—82no—
1446D4—82no—
1447D4—3564no—
1448D4—3564no—
1449D4—3564no—
1450D4—3564no—
1451D4—7122no—
1452D4—7122no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—44no—
1486C2×C4—82no—
1487C2×C4—82no—
1488C2×C4—82no—
1489C2×C4—892no—
1490C2×C4—892no—
1491C2×C4—3564no—
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—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—1788no—
1529C2×C4—1781no—
1530C2×C4—1781no—
1531C2×C4—1781no—
1532C2×C4—1781no—
1533C2×C4—7122no—
1534C2×C4—7122no—
1535C2×C4—7122no—
1536C2×C4—7122no—
1537C2×C4#1566805712yes—
1538C22—22no—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—88no—
1566C22—3561no—
1567C22—3561no—
1568C22—3561no—
1569C22—3561no—
1570C22—3561no—
1571C22—3561no—
1572C22—3561no—
1573C22—3561no—
1574C22—3561no—
1575C22—3561no—
1576C22—3561no—
1577C22—3561no—
1578C22—3561no—
1579C22—3561no—
1580C22—7128no—
1581C22#1915219214yes—
1582C22C22×#1308357311yescharacteristic
1583C22H(5,𝔽2)×D8911yescharacteristic
1584C22H(5,𝔽2)×D8911yescharacteristic
1585C22C2×#1566805711yescharacteristic
1586C22C2×#1566805811yescharacteristic
1587C22C2×#1566805911yescharacteristic
1588C22#1915243411yescharacteristic
1589C4—22no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—3561no—
1601C4—3561no—
1602C4—3561no—
1603C4—3561no—
1604C4—3561no—
1605C4—3561no—
1606C4—3561no—
1607C4—3561no—
1608C4—3561no—
1609C4—3561no—
1610C4—3561no—
1611C4—3561no—
1612C4—1782no—
1613C4—1782no—
1614C2—24no—
1615C2—42no—
1616C2—42no—
1617C2—81no—
1618C2—7121no—
1619C2—7121no—
1620C2C2×#1915219211yescharacteristic
1621C2#2603394011yescharacteristic
1622C2#2603408611yescharacteristic
1623C2#2603446711yescharacteristic
1624C2#2603456111yescharacteristic
1625C2#2603458411yescharacteristic
1626C2#2603481011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D89
commutator, socle, cosocleC23×C89C25
FittingC89×#2412C2
prime radical#26023627C2
hypercenter#2412D89
hypocenterC89#36807
LCSG ▷ C23×C89 ▷ C89
UCSC1 ◁ C23 ◁ #2412

Complements

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

NH ≅ G/Ntype
1. #26028565C2semidirect
2. #26028560C2semidirect
3. #26028100C2semidirect
4. #26027961C2semidirect
5. #26027582C2semidirect
6. #26027352C2semidirect
7. #26027307C2semidirect
8. #26027170C2semidirect
9. #26027011C2semidirect
10. #26027002C2semidirect
11. #26026959C2semidirect
12. #26026936C2semidirect
13. #26026929C2semidirect
14. #26026921C2semidirect
15. #26026806C2semidirect
16. #26026776C2semidirect
17. #26026726C2semidirect
18. #26026610C2semidirect
19. #26026060C2semidirect
20. #26026029C2semidirect
21. #26024503C2semidirect
22. #26024398C2semidirect
23. #26024065C2semidirect
24. #26023913C2semidirect
25. #26023712C2semidirect
27. #26023579C2semidirect
28. #26022913C2semidirect
29. #26022866C2semidirect
30. C2×#19151498C2semidirect
31. C89×#2412C2semidirect
33. C2×#15668007C22semidirect
34. C2×#15668005C22semidirect
35. C2×#15668003C22semidirect
36. C2×#15668002C22semidirect
37. C2×#15667996C22semidirect
41. C2×#15667989C22semidirect
42. C2×#15667989C22semidirect
53. #19151539C22semidirect
54. #19151535C22semidirect
55. #19151535C22semidirect
56. #19151535C22semidirect
57. #19151534C22semidirect
58. #19151534C22semidirect
59. #19151532C22semidirect
60. #19151532C22semidirect
61. #19151529C22semidirect
62. #19151528C22semidirect
63. #19151527C22semidirect
64. #19151527C22semidirect
65. #19151527C22semidirect
66. #19151525C22semidirect
67. #19151525C22semidirect
68. #19151525C22semidirect
69. #19151525C22semidirect
70. #19151524C22semidirect
71. #19151521C22semidirect
72. #19151521C22semidirect
73. #19151521C22semidirect
74. #19151520C22semidirect
75. #19151520C22semidirect
76. #19151520C22semidirect
77. #19151520C22semidirect
78. #19151520C22semidirect
79. #19151519C22semidirect
80. #19151514C22semidirect
81. #19151514C22semidirect
82. #19151514C22semidirect
83. #19151514C22semidirect
90. #19151513C22semidirect
91. #19151513C22semidirect
92. #19151511C22semidirect
93. #19151511C22semidirect
94. #19151510C22semidirect
97. #19151501C22semidirect
98. #19151501C22semidirect
107. #19151497C22semidirect
108. #19151495C22semidirect
109. #19151495C22semidirect
110. #19151494C22semidirect
111. #19151492C22semidirect
112. #19151491C22semidirect
113. #19151491C22semidirect
114. #19151491C22semidirect
115. #19151491C22semidirect
116. #19151491C22semidirect
117. #19151490C22semidirect
118. #19151490C22semidirect
119. #19151490C22semidirect
120. #19151488C22semidirect
121. #19151487C22semidirect
122. #19151486C22semidirect
123. #19151485C22semidirect
124. #19151485C22semidirect
125. #19151485C22semidirect
126. #19151485C22semidirect
127. #19151483C22semidirect
128. #19151481C22semidirect
129. #19151481C22semidirect
130. #19151480C22semidirect
131. #19151480C22semidirect
132. #19151479C22semidirect
135. #19151478C22semidirect
136. #19151478C22semidirect
141. #19151475C22semidirect
147. #19151473C22semidirect
148. #19151473C22semidirect
149. #19151473C22semidirect
150. #19151473C22semidirect
151. #19151473C22semidirect
157. #19151470C22semidirect
158. #19151470C22semidirect
159. #19151465C22semidirect
160. #19151463C22semidirect
162. #19151458C22semidirect
163. #19151458C22semidirect
164. #19151458C22semidirect
165. #19151458C22semidirect
166. #19151456C22semidirect
172. C2×#123×C89C22semidirect
176. #397×C89C22semidirect
177. #397×C89C22semidirect
178. #394×C89C22semidirect
179. #394×C89C22semidirect
182. #386×C89C22semidirect
183. #385×C89C22semidirect
184. #381×C89C22semidirect
839. #2412D89semidirect
845. C89#36807semidirect
854. C2×#123C2×D89semidirect
889. #397C2×D89semidirect
890. #397C2×D89semidirect
912. #394C2×D89semidirect
913. #394C2×D89semidirect
966. #386C2×D89semidirect
984. #385C2×D89semidirect
987. #381C2×D89semidirect

Maximal subgroups

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

subgroupindex
#260285652
#260285602
#260281002
#260279612
#260275822
#260273522
#260273072
#260271702
#260270112
#260270022
#260269592
#260269362
#260269292
#260269212
#260268062
#260267762
#260267262
#260266102
#260260602
#260260292
#260245032
#260243982
#260240652
#260239132
#260237122
#260236272
#260235792
#260229132
#260228662
C2×#191514982
C89×#24122
#3680789