Finite Group Databasebeta

← #36763300

Subgroups — #36763300

Order 22784.

2158 conjugacy classes of subgroups.

The subgroup lattice has 1634 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#26028546C211yesmaximal, characteristic, complemented
2#26028537C211yesmaximal, characteristic, complemented
3#26028088C211yesmaximal, characteristic, complemented
4#26027641C211yesmaximal, characteristic, complemented
5#26027591C211yesmaximal, characteristic, complemented
6#26027499C211yesmaximal, characteristic, complemented
7#26027309C211yesmaximal, characteristic, complemented
8#26027244C211yesmaximal, characteristic, complemented
9#26027177C211yesmaximal, characteristic, complemented
10#26027057C211yesmaximal, characteristic, complemented
11#26027018C211yesmaximal, characteristic, complemented
12#26026988C211yesmaximal, characteristic, complemented
13#26026920C211yesmaximal, characteristic, complemented
14#26026872C211yesmaximal, characteristic, complemented
15#26026844C211yesmaximal, characteristic, complemented
16#26026732C211yesmaximal, characteristic, complemented
17#26026657C211yesmaximal, characteristic, complemented
18#26026509C211yesmaximal, characteristic, complemented
19#26026061C211yesmaximal, characteristic, complemented
20#26026028C211yesmaximal, characteristic, complemented
21#26025434C211yesmaximal, characteristic, complemented
22#26025258C211yesmaximal, characteristic, complemented
23#26024495C211yesmaximal, characteristic, complemented
24#26024495C211yesmaximal, characteristic, complemented
25#26024375C211yesmaximal, characteristic, complemented
26#26024375C211yesmaximal, characteristic, complemented
27#26023602C211yesmaximal, characteristic
28#26022987C211yesmaximal, characteristic, complemented
29#26022879C211yesmaximal, characteristic, complemented
30C2×#19151478C211yesmaximal, characteristic, complemented
31C89×#2435C211yesmaximal, characteristic, complemented
32C24×Dic89C2211yescharacteristic
33C2×#15668005C2211yescharacteristic, complemented
34C2×#15668005C2211yescharacteristic, complemented
35C2×#15667998C2211yescharacteristic, complemented
36C2×#15667998C2211yescharacteristic, complemented
37C2×#15667996C2211yescharacteristic, complemented
38C2×#15667996C2211yescharacteristic, complemented
39C2×#15667989C2211yescharacteristic
40C2×#15667989C2211yescharacteristic
41C2×#15667989C2211yescharacteristic, complemented
42C2×#15667989C2211yescharacteristic, complemented
43C2×#15667983C2211yescharacteristic
44C2×#15667983C2211yescharacteristic
45C2×#15667981C2211yescharacteristic
46C2×#15667981C2211yescharacteristic
47C2×C4×C22⋊D89C2211yescharacteristic
48C22×C22⋊Dic89C2211yescharacteristic
49C22×C22⋊Dic89C2211yescharacteristic
50C22×C22⋊Dic89C2211yescharacteristic
51#19151536C2211yescharacteristic, complemented
52#19151534C2211yescharacteristic, complemented
53#19151534C2211yescharacteristic, complemented
54#19151533C2211yescharacteristic, complemented
55#19151530C2211yescharacteristic, complemented
56#19151530C2211yescharacteristic, complemented
57#19151526C2211yescharacteristic, complemented
58#19151526C2211yescharacteristic, complemented
59#19151526C2211yescharacteristic, complemented
60#19151526C2211yescharacteristic, complemented
61#19151526C2211yescharacteristic, complemented
62#19151526C2211yescharacteristic, complemented
63#19151523C2211yescharacteristic, complemented
64#19151523C2211yescharacteristic, complemented
65#19151523C2211yescharacteristic, complemented
66#19151523C2211yescharacteristic, complemented
67#19151523C2211yescharacteristic, complemented
68#19151523C2211yescharacteristic, complemented
69#19151521C2211yescharacteristic, complemented
70#19151521C2211yescharacteristic, complemented
71#19151521C2211yescharacteristic, complemented
72#19151521C2211yescharacteristic, complemented
73#19151521C2211yescharacteristic, complemented
74#19151521C2211yescharacteristic, complemented
75#19151519C2211yescharacteristic, complemented
76#19151519C2211yescharacteristic, complemented
77#19151517C2211yescharacteristic, complemented
78#19151514C2211yescharacteristic, complemented
79#19151514C2211yescharacteristic, complemented
80#19151514C2211yescharacteristic, complemented
81#19151514C2211yescharacteristic, complemented
82#19151514C2211yescharacteristic, complemented
83#19151514C2211yescharacteristic, complemented
84#19151513C2211yescharacteristic, complemented
85#19151513C2211yescharacteristic, complemented
86#19151512C2211yescharacteristic
87#19151512C2211yescharacteristic
88#19151510C2211yescharacteristic, complemented
89#19151510C2211yescharacteristic, complemented
90#19151510C2211yescharacteristic, complemented
91#19151510C2211yescharacteristic, complemented
92#19151509C2211yescharacteristic, complemented
93#19151506C2211yescharacteristic
94#19151506C2211yescharacteristic
95#19151505C2211yescharacteristic, complemented
96#19151505C2211yescharacteristic, complemented
97#19151504C2211yescharacteristic, complemented
98#19151504C2211yescharacteristic, complemented
99#19151501C2211yescharacteristic
100#19151501C2211yescharacteristic
101#19151498C2211yescharacteristic, complemented
102#19151498C2211yescharacteristic, complemented
103#19151497C2211yescharacteristic, complemented
104#19151497C2211yescharacteristic, complemented
105#19151496C2211yescharacteristic, complemented
106#19151496C2211yescharacteristic, complemented
107#19151492C2211yescharacteristic, complemented
108#19151492C2211yescharacteristic, complemented
109#19151491C2211yescharacteristic, complemented
110#19151491C2211yescharacteristic, complemented
111#19151491C2211yescharacteristic, complemented
112#19151491C2211yescharacteristic, complemented
113#19151489C2211yescharacteristic, complemented
114#19151489C2211yescharacteristic, complemented
115#19151486C2211yescharacteristic, complemented
116#19151486C2211yescharacteristic, complemented
117#19151486C2211yescharacteristic, complemented
118#19151486C2211yescharacteristic, complemented
119#19151484C2211yescharacteristic, complemented
120#19151484C2211yescharacteristic, complemented
121#19151484C2211yescharacteristic, complemented
122#19151484C2211yescharacteristic, complemented
123#19151482C2211yescharacteristic, complemented
124#19151482C2211yescharacteristic, complemented
125#19151479C2211yescharacteristic, complemented
126#19151479C2211yescharacteristic, complemented
127#19151478C2211yescharacteristic
128#19151478C2211yescharacteristic
129#19151478C2211yescharacteristic
130#19151478C2211yescharacteristic
131#19151478C2211yescharacteristic
132#19151478C2211yescharacteristic
133#19151478C2211yescharacteristic
134#19151478C2211yescharacteristic
135#19151475C2211yescharacteristic
136#19151475C2211yescharacteristic
137#19151475C2211yescharacteristic
138#19151475C2211yescharacteristic
139#19151475C2211yescharacteristic, complemented
140#19151475C2211yescharacteristic, complemented
141#19151473C2211yescharacteristic
142#19151473C2211yescharacteristic
143#19151473C2211yescharacteristic
144#19151473C2211yescharacteristic
145#19151473C2211yescharacteristic, complemented
146#19151473C2211yescharacteristic, complemented
147#19151473C2211yescharacteristic, complemented
148#19151473C2211yescharacteristic, complemented
149#19151470C2211yescharacteristic
150#19151470C2211yescharacteristic
151#19151470C2211yescharacteristic, complemented
152#19151470C2211yescharacteristic, complemented
153#19151469C2211yescharacteristic, complemented
154#19151469C2211yescharacteristic, complemented
155#19151465C2211yescharacteristic, complemented
156#19151462C2211yescharacteristic, complemented
157#19151460C2211yescharacteristic, complemented
158#19151459C2211yescharacteristic, complemented
159#19151459C2211yescharacteristic, complemented
160#19151458C2211yescharacteristic
161#19151457C2211yescharacteristic, complemented
162#19151456C2211yescharacteristic
163#19151456C2211yescharacteristic
164#19151456C2211yescharacteristic, complemented
165#19151456C2211yescharacteristic, complemented
166#19151454C2211yescharacteristic
167#19151454C2211yescharacteristic
168C22⋊C4×Dic89C2211yescharacteristic
169C22⋊C4×Dic89C2211yescharacteristic
170C2×#15667919C2211yescharacteristic
171C2×#15667919C2211yescharacteristic
172C23×D4×C89C2211yescharacteristic
173C2×#124×C89C2211yescharacteristic
174C2×#124×C89C2211yescharacteristic
175C2×C22⋊Q8×C89C2211yescharacteristic
176#394×C89C2211yescharacteristic
177#394×C89C2211yescharacteristic
178#394×C89C2211yescharacteristic
179#394×C89C2211yescharacteristic
180#390×C89C2211yescharacteristic
181#390×C89C2211yescharacteristic
182#379×C89C2211yescharacteristic
183#379×C89C2211yescharacteristic
184#379×C89C2211yescharacteristic
185#379×C89C2211yescharacteristic
186C4×C22⋊C4×C89C2211yescharacteristic
187C22×Dic178C2311yescharacteristic
188C22×Dic178C2311yescharacteristic
189C22×C22⋊D89C2311yescharacteristic
190C22×C22⋊D89C2311yescharacteristic
191C22×C22⋊D89C2311yescharacteristic
192C22×C22⋊D89C2311yescharacteristic
193C22×C22⋊D89C2311yescharacteristic
194C23×Dic89—42no—
195C23×Dic89—42no—
196C23×Dic89—42no—
197C23×Dic89C2311yescharacteristic
198C23×Dic89C2311yescharacteristic
199C23×Dic89C2311yescharacteristic
200C23×Dic89C2311yescharacteristic
201C23×Dic89C2311yescharacteristic
202C23×Dic89C2311yescharacteristic
203C23×Dic89C2311yescharacteristic
204C23×Dic89C2311yescharacteristic
205C22×C4×D89C2311yescharacteristic
206#15668005—42no—
207#15668005—42no—
208#15667998—42no—
209#15667998—42no—
210#15667996—42no—
211#15667996—42no—
212#15667989—42no—
213#15667989—42no—
214#15667989—42no—
215#15667989—42no—
216#15667983—42no—
217#15667983—42no—
218#15667981—42no—
219#15667981—42no—
220C4×C22⋊D89—24no—
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×C4⋊Dic89C2311yescharacteristic
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×C22⋊Dic89—42no—
247C2×C22⋊Dic89—42no—
248C2×C22⋊Dic89—42no—
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×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×C22⋊Dic89C2311yescharacteristic
271C2×C22⋊Dic89C2311yescharacteristic
272C2×C22⋊Dic89C2311yescharacteristic
273C2×C22⋊Dic89C2311yescharacteristic
274C2×C22⋊Dic89C2311yescharacteristic
275C2×C22⋊Dic89C2311yescharacteristic
276C2×#13083551C2311yescharacteristic
277C2×#13083551C2311yescharacteristic
278C2×#13083551C2311yescharacteristic
279C2×#13083551C2311yescharacteristic
280C2×#13083551C2311yescharacteristic
281C2×#13083551C2311yescharacteristic
282C2×#13083551C2311yescharacteristic
283C2×#13083551C2311yescharacteristic
284C2×#13083551C2311yescharacteristic
285C2×C4×Dic89C2311yescharacteristic
286C2×C4×Dic89C2311yescharacteristic
287C2×C4×Dic89C2311yescharacteristic
288C2×C4×Dic89C2311yescharacteristic
289C2×C4×Dic89C2311yescharacteristic
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
324#15667919C2311yescharacteristic
325#15667919C2311yescharacteristic
326#15667919C2311yescharacteristic
327#15667919C2311yescharacteristic
328C25×C89C2311yescharacteristic
329C25×C89C2311yescharacteristic
330C22×Q8×C89C2311yescharacteristic
331C22×D4×C89—24no—
332C22×D4×C89—42no—
333C22×D4×C89—42no—
334C22×D4×C89C2311yescharacteristic
335C22×D4×C89C2311yescharacteristic
336C22×D4×C89C2311yescharacteristic
337C22×D4×C89C2311yescharacteristic
338C23×C4×C89C2311yescharacteristic
339#124×C89—42no—
340#124×C89—42no—
341C22⋊Q8×C89—24no—
342C2×C4⋊C4×C89C2311yescharacteristic
343C2×C4⋊C4×C89C2311yescharacteristic
344C2×C4⋊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×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
361C2×C22⋊C4×C89C2311yescharacteristic
362C2×C22⋊C4×C89C2311yescharacteristic
363C2×C22⋊C4×C89C2311yescharacteristic
364C2×C22⋊C4×C89C2311yescharacteristic
365C2×C42×C89C2311yescharacteristic
366C2×C42×C89C2311yescharacteristic
367#95×C89C2311yescharacteristic
368#95×C89C2311yescharacteristic
369C23×D89C2411yescharacteristic
370C2×Dic178—22no—
371C2×Dic178—41no—
372C2×Dic178—41no—
373C2×Dic178—41no—
374C2×Dic178—41no—
375C2×Dic178—41no—
376C2×C22⋊D89—22no—
377C2×C22⋊D89—22no—
378C2×C22⋊D89—22no—
379C2×C22⋊D89—22no—
380C2×C22⋊D89—22no—
381C2×C22⋊D89—41no—
382C2×C22⋊D89—41no—
383C2×C22⋊D89—41no—
384C2×C22⋊D89—41no—
385C2×C22⋊D89—41no—
386C2×C22⋊D89—41no—
387C2×C22⋊D89—41no—
388C2×C22⋊D89—41no—
389C2×C22⋊D89—41no—
390C2×C22⋊D89—41no—
391C22×Dic89—22no—
392C22×Dic89—22no—
393C22×Dic89—22no—
394C22×Dic89—22no—
395C22×Dic89—22no—
396C22×Dic89—22no—
397C22×Dic89—22no—
398C22×Dic89—22no—
399C22×Dic89—22no—
400C22×Dic89—41no—
401C22×Dic89—41no—
402C22×Dic89—41no—
403C22×Dic89—41no—
404C22×Dic89—41no—
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—416no—
416C22×Dic89C2411yescharacteristic
417C22×Dic89C2411yescharacteristic
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
431C2×C4×D89—22no—
432C2×C4×D89—41no—
433C2×C4×D89—41no—
434C4⋊Dic89—22no—
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—41no—
449#13083553—41no—
450#13083553—41no—
451#13083553—41no—
452#13083553—41no—
453#13083553—41no—
454#13083553—41no—
455#13083553—41no—
456#13083553—41no—
457#13083553—41no—
458#13083553—41no—
459C22⋊Dic89—22no—
460C22⋊Dic89—22no—
461C22⋊Dic89—22no—
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—
481C22⋊Dic89—41no—
482C22⋊Dic89—41no—
483C22⋊Dic89—41no—
484C22⋊Dic89—41no—
485C22⋊Dic89—41no—
486#13083551—22no—
487#13083551—22no—
488#13083551—41no—
489#13083551—41no—
490#13083551—41no—
491#13083551—41no—
492#13083551—41no—
493#13083551—41no—
494#13083551—41no—
495C4×Dic89—22no—
496C4×Dic89—41no—
497C4×Dic89—41no—
498C4×Dic89—41no—
499C4×Dic89—41no—
500C24×C89—22no—
501C24×C89—22no—
502C24×C89—22no—
503C24×C89—22no—
504C24×C89—22no—
505C24×C89—22no—
506C24×C89—22no—
507C24×C89—22no—
508C24×C89—41no—
509C24×C89—41no—
510C24×C89—41no—
511C24×C89—41no—
512C24×C89—41no—
513C24×C89—41no—
514C24×C89C2411yescharacteristic
515C24×C89C2411yescharacteristic
516C24×C89C2411yescharacteristic
517C24×C89C2411yescharacteristic
518C24×C89C2411yescharacteristic
519C2×Q8×C89—22no—
520C2×Q8×C89—41no—
521C2×Q8×C89—41no—
522C2×D4×C89—22no—
523C2×D4×C89—22no—
524C2×D4×C89—22no—
525C2×D4×C89—22no—
526C2×D4×C89—22no—
527C2×D4×C89—22no—
528C2×D4×C89—22no—
529C2×D4×C89—22no—
530C2×D4×C89—41no—
531C2×D4×C89—41no—
532C2×D4×C89—41no—
533C2×D4×C89—41no—
534C2×D4×C89—416no—
535C22×C4×C89—41no—
536C22×C4×C89—41no—
537C22×C4×C89#4114yes—
538C22×C4×C89C2411yescharacteristic
539C22×C4×C89C2411yescharacteristic
540C22×C4×C89C2411yescharacteristic
541C22×C4×C89C2411yescharacteristic
542C22×C4×C89C2411yescharacteristic
543C22×C4×C89C2411yescharacteristic
544C22×C4×C89C2411yescharacteristic
545C22×C4×C89C2411yescharacteristic
546C22×C4×C89C2411yescharacteristic
547C22×C4×C89C2411yescharacteristic
548C4⋊C4×C89—22no—
549C4⋊C4×C89—22no—
550C4⋊C4×C89—22no—
551C22⋊C4×C89—22no—
552C22⋊C4×C89—22no—
553C22⋊C4×C89—22no—
554C22⋊C4×C89—22no—
555C22⋊C4×C89—22no—
556C22⋊C4×C89—22no—
557C22⋊C4×C89—22no—
558C22⋊C4×C89—22no—
559C22⋊C4×C89—41no—
560C22⋊C4×C89—41no—
561C22⋊C4×C89—41no—
562C22⋊C4×C89—41no—
563C22⋊C4×C89—41no—
564C22⋊C4×C89—41no—
565C22⋊C4×C89—41no—
566C22⋊C4×C89—41no—
567C22⋊C4×C89—41no—
568C22⋊C4×C89—41no—
569C22⋊C4×C89—41no—
570C22⋊C4×C89—41no—
571C42×C89—41no—
572C42×C89—41no—
573C23×C89—21no—
574C23×C89—21no—
575C23×C89—21no—
576C23×C89—21no—
577C23×C89—28no—
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—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×C89—21no—
603C23×C89—21no—
604C23×C89—44no—
605C23×C89—44no—
606C23×C89—44no—
607C23×C89—44no—
608C23×C89—44no—
609C23×C89—44no—
610C23×C89—44no—
611C23×C89—44no—
612C23×C89—44no—
613C23×C89—82no—
614C23×C89—82no—
615C23×C89—82no—
616C23×C89—82no—
617C23×C89C2×#4112yes—
618C23×C89H(5,𝔽2)12yes—
619C23×C89H(5,𝔽2)12yes—
620C23×C89H(5,𝔽2)12yes—
621C23×C892−1+412yes—
622C23×C89C2511yescharacteristic
623C22×D89—21no—
624C22×D89—21no—
625C22×D89—21no—
626C22×D89—21no—
627C22×D89—21no—
628C22×D89—21no—
629C22×D89—21no—
630Q8×C89—82no—
631D4×C89—44no—
632D4×C89—44no—
633D4×C89—44no—
634D4×C89—44no—
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—44no—
664C2×C4×C89C2×#4112yes—
665C2×C4×C89C2×#4112yes—
666C22⋊D89—44no—
667C22⋊D89—82no—
668C22⋊D89—82no—
669C22⋊D89—82no—
670C22⋊D89—82no—
671C2×Dic89—21no—
672C2×Dic89—21no—
673C2×Dic89—21no—
674C2×Dic89—21no—
675C2×Dic89—21no—
676C2×Dic89—21no—
677C2×Dic89—21no—
678C2×Dic89—21no—
679C2×Dic89—21no—
680C2×Dic89—21no—
681C2×Dic89—21no—
682C2×Dic89—21no—
683C2×Dic89—21no—
684C2×Dic89—21no—
685C2×Dic89—21no—
686C2×Dic89—21no—
687C2×Dic89—21no—
688C2×Dic89—21no—
689C2×Dic89—21no—
690C2×Dic89—21no—
691C2×Dic89—21no—
692C2×Dic89—21no—
693C2×Dic89—21no—
694C2×Dic89—21no—
695C2×Dic89—21no—
696C2×Dic89—21no—
697C2×Dic89—21no—
698C2×Dic89—21no—
699C2×Dic89—21no—
700C2×Dic89—21no—
701C2×Dic89—21no—
702C2×Dic89—21no—
703C2×Dic89—21no—
704C2×Dic89—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—44no—
716C2×Dic89—44no—
717C2×Dic89—44no—
718C2×Dic89—44no—
719C2×Dic89—44no—
720C2×Dic89—44no—
721C2×Dic89—82no—
722C2×Dic89—82no—
723C2×Dic89H(5,𝔽2)12yes—
724C4×D89—82no—
725Dic178—82no—
726Dic178—82no—
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—22no—
737C22×C89—22no—
738C22×C89—22no—
739C22×C89—416no—
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—41no—
752C22×C89—41no—
753C22×C89—41no—
754C22×C89—41no—
755C22×C89—41no—
756C22×C89—41no—
757C22×C89—41no—
758C22×C89—41no—
759C22×C89—41no—
760C22×C89—41no—
761C22×C89—41no—
762C22×C89—88no—
763C22×C89#54214yes—
764C22×C89C22×#4111yescharacteristic
765C22×C89C2×H(5,𝔽2)11yescharacteristic
766C22×C89C2×H(5,𝔽2)11yescharacteristic
767C22×C89C2×H(5,𝔽2)11yescharacteristic
768C22×C89C2×H(5,𝔽2)11yescharacteristic
769C22×C89C2×2−1+411yescharacteristic
770C22×C89#58511yescharacteristic
771C2×D89—41no—
772C2×D89—41no—
773C2×D89—41no—
774C2×D89—41no—
775C2×D89—41no—
776C2×D89—41no—
777C2×D89—41no—
778C4×C89—22no—
779C4×C89—22no—
780C4×C89—41no—
781C4×C89—41no—
782C4×C89—41no—
783C4×C89—41no—
784C4×C89—41no—
785C4×C89—41no—
786C4×C89—41no—
787C4×C89—41no—
788Dic89—22no—
789Dic89—41no—
790Dic89—41no—
791Dic89—41no—
792Dic89—41no—
793Dic89—41no—
794Dic89—41no—
795Dic89—41no—
796Dic89—41no—
797Dic89—41no—
798Dic89—41no—
799Dic89—41no—
800Dic89—41no—
801Dic89—41no—
802Dic89—41no—
803#36793—891nomaximal, Sylow
804C2×C89—24no—
805C2×C89—42no—
806C2×C89—42no—
807C2×C89—81no—
808C2×C89—81no—
809C2×C89C2×#54211yescharacteristic
810C2×C89#349011yescharacteristic
811C2×C89#350611yescharacteristic
812C2×C89#353211yescharacteristic
813C2×C89#353411yescharacteristic
814C2×C89#353511yescharacteristic
815C2×C89#353611yescharacteristic
816D89—81no—
817#2849—891no—
818#2848—891no—
819#2796—891no—
820#2761—891no—
821#2757—891no—
822#2751—891no—
823#2737—891no—
824#2730—891no—
825#2723—891no—
826#2715—891no—
827#2712—891no—
828#2710—891no—
829#2705—891no—
830#2701—891no—
831#2700—891no—
832#2691—891no—
833#2686—891no—
834#2672—891no—
835#2626—891no—
836#2622—891no—
837#2564—891no—
838#2549—891no—
839#2480—891no—
840#2480—891no—
841#2472—891no—
842#2472—891no—
843#2435D8911yescharacteristic, complemented
844#2408—891no—
845#2329—891no—
846#2318—891no—
847C2×#386—891no—
848C89#3679311yescharacteristic, complemented, Sylow
849C23×D4C2×D8911yescharacteristic
850C24×C4—891no—
851C2×#126—891no—
852C2×#126—891no—
853C2×#124—891no—
854C2×#124—891no—
855C2×#124C2×D8911yescharacteristic
856C2×#124C2×D8911yescharacteristic
857C2×#123—891no—
858C2×#123—891no—
859C2×C22⋊Q8—891no—
860C2×C22⋊Q8—891no—
861C2×C22⋊Q8—891no—
862C2×C22⋊Q8—891no—
863C2×C22⋊Q8C2×D8911yescharacteristic
864C2×#121—891no—
865C2×#121—891no—
866C2×#120—891no—
867C2×#120—891no—
868C2×C4×D4—891no—
869C22×C22⋊C4—891no—
870C22×C22⋊C4—891no—
871C22×C22⋊C4—891no—
872#400—891no—
873#399—891no—
874#399—891no—
875#399—891no—
876#398—891no—
877#398—891no—
878#397—891no—
879#397—891no—
880#397—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#397—891no—
890#396—891no—
891#396—891no—
892#396—891no—
893#396—891no—
894#396—891no—
895#396—891no—
896#395—891no—
897#395—891no—
898#395—891no—
899#394—891no—
900#394—891no—
901#394—891no—
902#394—891no—
903#394—891no—
904#394—891no—
905#394—891no—
906#394—891no—
907#394—891no—
908#394—891no—
909#394C2×D8911yescharacteristic
910#394C2×D8911yescharacteristic
911#394C2×D8911yescharacteristic
912#394C2×D8911yescharacteristic
913#393—891no—
914#393—891no—
915#393—891no—
916#393—891no—
917#393—891no—
918#392—891no—
919#392—891no—
920#391—891no—
921#391—891no—
922#391—891no—
923#391—891no—
924#390—891no—
925#390—891no—
926#390—891no—
927#390—891no—
928#390C2×D8911yescharacteristic
929#390C2×D8911yescharacteristic
930#389—891no—
931#389—891no—
932#389—891no—
933#389—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#388—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#386—891no—
955#386—891no—
956#386—891no—
957#386—891no—
958#386—891no—
959#386—891no—
960#386—891no—
961#386—891no—
962#386—891no—
963#386—891no—
964#386—891no—
965#386—891no—
966#386—891no—
967#386—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#383—891no—
983#382—891no—
984#381—891no—
985#381—891no—
986#381—891no—
987#380—891no—
988#380—891no—
989#380—891no—
990#380—891no—
991#380—891no—
992#380—891no—
993#379—891no—
994#379—891no—
995#379C2×D8911yescharacteristic
996#379C2×D8911yescharacteristic
997#379C2×D8911yescharacteristic
998#379C2×D8911yescharacteristic
999C4×C22⋊C4—891no—
1000C4×C22⋊C4—891no—
1001C4×C22⋊C4C2×D8911yescharacteristic
1002C2×#95—891no—
1003C2×#95—891no—
1004C25C22×D8911yescharacteristic
1005C25C22×D8911yescharacteristic
1006C22×Q8—891no—
1007C22×Q8—891no—
1008C22×Q8C22×D8911yescharacteristic
1009C22×D4—24no—
1010C22×D4—42no—
1011C22×D4—42no—
1012C22×D4—891no—
1013C22×D4—891no—
1014C22×D4—891no—
1015C22×D4—891no—
1016C22×D4—891no—
1017C22×D4C22×D8911yescharacteristic
1018C22×D4C22×D8911yescharacteristic
1019C22×D4C22×D8911yescharacteristic
1020C22×D4C22×D8911yescharacteristic
1021C23×C4—891no—
1022C23×C4—891no—
1023C23×C4—891no—
1024C23×C4—891no—
1025C23×C4—891no—
1026C23×C4—891no—
1027C23×C4—891no—
1028C23×C4—891no—
1029C23×C4—891no—
1030C23×C4—3562no—
1031C23×C4—3562no—
1032C23×C4—3562no—
1033C23×C4C22×D8911yescharacteristic
1034#126—3562no—
1035#126—3562no—
1036#124—42no—
1037#124—42no—
1038#124—3562no—
1039#124—3562no—
1040#123—3562no—
1041#123—3562no—
1042C22⋊Q8—24no—
1043C22⋊Q8—3562no—
1044C22⋊Q8—3562no—
1045C22⋊Q8—3562no—
1046C22⋊Q8—3562no—
1047#121—3562no—
1048#121—3562no—
1049#120—3562no—
1050#120—3562no—
1051C4×D4—1784no—
1052C2×C4⋊C4—891no—
1053C2×C4⋊C4—891no—
1054C2×C4⋊C4—891no—
1055C2×C4⋊C4—891no—
1056C2×C4⋊C4—891no—
1057C2×C4⋊C4—891no—
1058C2×C4⋊C4—891no—
1059C2×C4⋊C4—891no—
1060C2×C4⋊C4—891no—
1061C2×C4⋊C4—891no—
1062C2×C4⋊C4—891no—
1063C2×C4⋊C4—891no—
1064C2×C4⋊C4—891no—
1065C2×C4⋊C4—891no—
1066C2×C4⋊C4—891no—
1067C2×C4⋊C4—891no—
1068C2×C4⋊C4—891no—
1069C2×C4⋊C4—891no—
1070C2×C4⋊C4—891no—
1071C2×C4⋊C4—891no—
1072C2×C4⋊C4—891no—
1073C2×C4⋊C4—891no—
1074C2×C4⋊C4—891no—
1075C2×C4⋊C4—891no—
1076C2×C4⋊C4—891no—
1077C2×C4⋊C4C22×D8911yescharacteristic
1078C2×C4⋊C4C22×D8911yescharacteristic
1079C2×C4⋊C4C22×D8911yescharacteristic
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—3562no—
1117C2×C22⋊C4—3562no—
1118C2×C22⋊C4—3562no—
1119C2×C22⋊C4C22×D8911yescharacteristic
1120C2×C22⋊C4C22×D8911yescharacteristic
1121C2×C22⋊C4C22×D8911yescharacteristic
1122C2×C22⋊C4C22×D8911yescharacteristic
1123C2×C22⋊C4C22×D8911yescharacteristic
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×C42C22×D8911yescharacteristic
1145C2×C42C22×D8911yescharacteristic
1146#95—891no—
1147#95—891no—
1148#95—891no—
1149#95—891no—
1150#95—891no—
1151#95—891no—
1152#95—891no—
1153#95—891no—
1154#95—891no—
1155#95—891no—
1156#95—891no—
1157#95—891no—
1158#95—891no—
1159#95—891no—
1160#95—891no—
1161#95—891no—
1162#95—891no—
1163#95—891no—
1164#95—891no—
1165#95—891no—
1166#95—891no—
1167#95—891no—
1168#95—891no—
1169#95—891no—
1170#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#95C22×D8911yescharacteristic
1185#95C22×D8911yescharacteristic
1186C24—22no—
1187C24—22no—
1188C24—22no—
1189C24—22no—
1190C24—22no—
1191C24—22no—
1192C24—22no—
1193C24—22no—
1194C24—41no—
1195C24—41no—
1196C24—41no—
1197C24—41no—
1198C24—41no—
1199C24—41no—
1200C24—891no—
1201C24C23×D8911yescharacteristic
1202C24C23×D8911yescharacteristic
1203C24C23×D8911yescharacteristic
1204C24C23×D8911yescharacteristic
1205C24C23×D8911yescharacteristic
1206C2×Q8—22no—
1207C2×Q8—41no—
1208C2×Q8—41no—
1209C2×Q8—3561no—
1210C2×Q8—3561no—
1211C2×Q8—3561no—
1212C2×Q8—3561no—
1213C2×Q8—3561no—
1214C2×Q8—1782no—
1215C2×D4—22no—
1216C2×D4—22no—
1217C2×D4—22no—
1218C2×D4—22no—
1219C2×D4—22no—
1220C2×D4—22no—
1221C2×D4—22no—
1222C2×D4—22no—
1223C2×D4—41no—
1224C2×D4—41no—
1225C2×D4—41no—
1226C2×D4—41no—
1227C2×D4—416no—
1228C2×D4—3561no—
1229C2×D4—3561no—
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—1782no—
1239C2×D4—1782no—
1240C2×D4—1782no—
1241C2×D4—1782no—
1242C2×D4—1782no—
1243C22×C4—41no—
1244C22×C4—41no—
1245C22×C4—891no—
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—35616no—
1263C22×C4—3561no—
1264C22×C4—3561no—
1265C22×C4—3561no—
1266C22×C4—3561no—
1267C22×C4—3561no—
1268C22×C4—3561no—
1269C22×C4—3561no—
1270C22×C4—3561no—
1271C22×C4—3561no—
1272C22×C4—3561no—
1273C22×C4—3561no—
1274C22×C4—3561no—
1275C22×C4—3561no—
1276C22×C4—3561no—
1277C22×C4—3561no—
1278C22×C4—1782no—
1279C22×C4—1782no—
1280C22×C4—1782no—
1281C22×C4—1782no—
1282C22×C4—1782no—
1283C22×C4—1782no—
1284C22×C4—1782no—
1285C22×C4—1782no—
1286C22×C4—1782no—
1287C22×C4—1782no—
1288C22×C4#1308357314yes—
1289C22×C4C23×D8911yescharacteristic
1290C22×C4C23×D8911yescharacteristic
1291C22×C4C23×D8911yescharacteristic
1292C22×C4C23×D8911yescharacteristic
1293C22×C4C23×D8911yescharacteristic
1294C22×C4C23×D8911yescharacteristic
1295C22×C4C23×D8911yescharacteristic
1296C22×C4C23×D8911yescharacteristic
1297C22×C4C23×D8911yescharacteristic
1298C22×C4C23×D8911yescharacteristic
1299C4⋊C4—22no—
1300C4⋊C4—22no—
1301C4⋊C4—22no—
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—3561no—
1314C4⋊C4—3561no—
1315C4⋊C4—3561no—
1316C4⋊C4—3561no—
1317C4⋊C4—3561no—
1318C4⋊C4—3561no—
1319C4⋊C4—3561no—
1320C4⋊C4—3561no—
1321C4⋊C4—3561no—
1322C4⋊C4—3561no—
1323C4⋊C4—3561no—
1324C4⋊C4—1782no—
1325C4⋊C4—1782no—
1326C4⋊C4—1782no—
1327C22⋊C4—22no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C22⋊C4—41no—
1344C22⋊C4—41no—
1345C22⋊C4—41no—
1346C22⋊C4—41no—
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—3561no—
1372C22⋊C4—1782no—
1373C22⋊C4—1782no—
1374C22⋊C4—1782no—
1375C22⋊C4—1782no—
1376C22⋊C4—1782no—
1377C22⋊C4—1782no—
1378C22⋊C4—1782no—
1379C22⋊C4—1782no—
1380C22⋊C4—1782no—
1381C22⋊C4—1782no—
1382C22⋊C4—1782no—
1383C42—41no—
1384C42—41no—
1385C42—3561no—
1386C42—3561no—
1387C42—3561no—
1388C42—3561no—
1389C42—1782no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—28no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—44no—
1422C23—44no—
1423C23—44no—
1424C23—44no—
1425C23—44no—
1426C23—44no—
1427C23—44no—
1428C23—44no—
1429C23—44no—
1430C23—82no—
1431C23—82no—
1432C23—82no—
1433C23—82no—
1434C23—1781no—
1435C23—1781no—
1436C23—1781no—
1437C23—1781no—
1438C23—1781no—
1439C23—1781no—
1440C23—1781no—
1441C23C2×#1308357312yes—
1442C23#1566805712yes—
1443C23#1566805712yes—
1444C23#1566805812yes—
1445C23#1566805912yes—
1446C23C24×D8911yescharacteristic
1447Q8—82no—
1448Q8—7122no—
1449Q8—7122no—
1450D4—44no—
1451D4—44no—
1452D4—44no—
1453D4—44no—
1454D4—3564no—
1455D4—7122no—
1456D4—7122no—
1457D4—7122no—
1458D4—7122no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—44no—
1488C2×C4—892no—
1489C2×C4—3564no—
1490C2×C4—3564no—
1491C2×C4—3564no—
1492C2×C4—3564no—
1493C2×C4—3564no—
1494C2×C4—3564no—
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—1781no—
1529C2×C4—1781no—
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—7122no—
1540C2×C4—7122no—
1541C2×C4—7122no—
1542C2×C4C2×#1308357312yes—
1543C2×C4C2×#1308357312yes—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—22no—
1555C22—22no—
1556C22—416no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22—41no—
1577C22—41no—
1578C22—41no—
1579C22—88no—
1580C22—3561no—
1581C22—3561no—
1582C22—3561no—
1583C22—3561no—
1584C22—3561no—
1585C22—3561no—
1586C22—3561no—
1587C22#1915221714yes—
1588C22C22×#1308357311yescharacteristic
1589C22H(5,𝔽2)×D8911yescharacteristic
1590C22C2×#1566805711yescharacteristic
1591C22C2×#1566805711yescharacteristic
1592C22C2×#1566805811yescharacteristic
1593C22C2×#1566805911yescharacteristic
1594C22#1915243311yescharacteristic
1595C4—22no—
1596C4—22no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—3561no—
1606C4—3561no—
1607C4—3561no—
1608C4—3561no—
1609C4—3561no—
1610C4—3561no—
1611C4—3561no—
1612C4—3561no—
1613C4—3561no—
1614C4—3561no—
1615C4—3561no—
1616C4—3561no—
1617C4—3561no—
1618C4—3561no—
1619C4—1782no—
1620C2—24no—
1621C2—42no—
1622C2—42no—
1623C2—81no—
1624C2—81no—
1625C2—7121no—
1626C2C2×#1915221711yescharacteristic
1627C2#2603393911yescharacteristic
1628C2#2603410311yescharacteristic
1629C2#2603440111yescharacteristic
1630C2#2603443811yescharacteristic
1631C2#2603444911yescharacteristic
1632C2#2603446711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D89
commutator, socle, cosocleC23×C89C25
FittingC89×#2435C2
prime radical#26023602C2
hypercenter#2435D89
hypocenterC89#36793
LCSG ▷ C23×C89 ▷ C89
UCSC1 ◁ C23 ◁ #2435

Complements

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

NH ≅ G/Ntype
1. #26028546C2semidirect
2. #26028537C2semidirect
3. #26028088C2semidirect
4. #26027641C2semidirect
5. #26027591C2semidirect
6. #26027499C2semidirect
7. #26027309C2semidirect
8. #26027244C2semidirect
9. #26027177C2semidirect
10. #26027057C2semidirect
11. #26027018C2semidirect
12. #26026988C2semidirect
13. #26026920C2semidirect
14. #26026872C2semidirect
15. #26026844C2semidirect
16. #26026732C2semidirect
17. #26026657C2semidirect
18. #26026509C2semidirect
19. #26026061C2semidirect
20. #26026028C2semidirect
21. #26025434C2semidirect
22. #26025258C2semidirect
23. #26024495C2semidirect
24. #26024495C2semidirect
25. #26024375C2semidirect
26. #26024375C2semidirect
28. #26022987C2semidirect
29. #26022879C2semidirect
30. C2×#19151478C2semidirect
31. C89×#2435C2semidirect
33. C2×#15668005C22semidirect
34. C2×#15668005C22semidirect
35. C2×#15667998C22semidirect
36. C2×#15667998C22semidirect
37. C2×#15667996C22semidirect
38. C2×#15667996C22semidirect
41. C2×#15667989C22semidirect
42. C2×#15667989C22semidirect
51. #19151536C22semidirect
52. #19151534C22semidirect
53. #19151534C22semidirect
54. #19151533C22semidirect
55. #19151530C22semidirect
56. #19151530C22semidirect
57. #19151526C22semidirect
58. #19151526C22semidirect
59. #19151526C22semidirect
60. #19151526C22semidirect
61. #19151526C22semidirect
62. #19151526C22semidirect
63. #19151523C22semidirect
64. #19151523C22semidirect
65. #19151523C22semidirect
66. #19151523C22semidirect
67. #19151523C22semidirect
68. #19151523C22semidirect
69. #19151521C22semidirect
70. #19151521C22semidirect
71. #19151521C22semidirect
72. #19151521C22semidirect
73. #19151521C22semidirect
74. #19151521C22semidirect
75. #19151519C22semidirect
76. #19151519C22semidirect
77. #19151517C22semidirect
78. #19151514C22semidirect
79. #19151514C22semidirect
80. #19151514C22semidirect
81. #19151514C22semidirect
82. #19151514C22semidirect
83. #19151514C22semidirect
84. #19151513C22semidirect
85. #19151513C22semidirect
88. #19151510C22semidirect
89. #19151510C22semidirect
90. #19151510C22semidirect
91. #19151510C22semidirect
92. #19151509C22semidirect
95. #19151505C22semidirect
96. #19151505C22semidirect
97. #19151504C22semidirect
98. #19151504C22semidirect
101. #19151498C22semidirect
102. #19151498C22semidirect
103. #19151497C22semidirect
104. #19151497C22semidirect
105. #19151496C22semidirect
106. #19151496C22semidirect
107. #19151492C22semidirect
108. #19151492C22semidirect
109. #19151491C22semidirect
110. #19151491C22semidirect
111. #19151491C22semidirect
112. #19151491C22semidirect
113. #19151489C22semidirect
114. #19151489C22semidirect
115. #19151486C22semidirect
116. #19151486C22semidirect
117. #19151486C22semidirect
118. #19151486C22semidirect
119. #19151484C22semidirect
120. #19151484C22semidirect
121. #19151484C22semidirect
122. #19151484C22semidirect
123. #19151482C22semidirect
124. #19151482C22semidirect
125. #19151479C22semidirect
126. #19151479C22semidirect
139. #19151475C22semidirect
140. #19151475C22semidirect
145. #19151473C22semidirect
146. #19151473C22semidirect
147. #19151473C22semidirect
148. #19151473C22semidirect
151. #19151470C22semidirect
152. #19151470C22semidirect
153. #19151469C22semidirect
154. #19151469C22semidirect
155. #19151465C22semidirect
156. #19151462C22semidirect
157. #19151460C22semidirect
158. #19151459C22semidirect
159. #19151459C22semidirect
161. #19151457C22semidirect
164. #19151456C22semidirect
165. #19151456C22semidirect
843. #2435D89semidirect
848. C89#36793semidirect

Maximal subgroups

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

subgroupindex
#260285462
#260285372
#260280882
#260276412
#260275912
#260274992
#260273092
#260272442
#260271772
#260270572
#260270182
#260269882
#260269202
#260268722
#260268442
#260267322
#260266572
#260265092
#260260612
#260260282
#260254342
#260252582
#260244952
#260243752
#260236022
#260229872
#260228792
C2×#191514782
C89×#24352
#3679389