Finite Group Databasebeta

← #28797058

Subgroups — #28797058

Order 15104.

2078 conjugacy classes of subgroups.

The subgroup lattice has 1622 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21432389C211yesmaximal, characteristic, complemented
2#21432377C211yesmaximal, characteristic, complemented
3#21431743C211yesmaximal, characteristic, complemented
4#21431743C211yesmaximal, characteristic, complemented
5#21431570C211yesmaximal, characteristic, complemented
6#21431479C211yesmaximal, characteristic, complemented
7#21431371C211yesmaximal, characteristic, complemented
8#21431326C211yesmaximal, characteristic, complemented
9#21431306C211yesmaximal, characteristic, complemented
10#21431172C211yesmaximal, characteristic, complemented
11#21430859C211yesmaximal, characteristic, complemented
12#21430794C211yesmaximal, characteristic, complemented
13#21430785C211yesmaximal, characteristic, complemented
14#21430715C211yesmaximal, characteristic, complemented
15#21430712C211yesmaximal, characteristic, complemented
16#21430532C211yesmaximal, characteristic, complemented
17#21430330C211yesmaximal, characteristic, complemented
18#21429883C211yesmaximal, characteristic, complemented
19#21429843C211yesmaximal, characteristic, complemented
20#21429023C211yesmaximal, characteristic, complemented
21#21428984C211yesmaximal, characteristic, complemented
22#21427813C211yesmaximal, characteristic, complemented
23#21427652C211yesmaximal, characteristic, complemented
24#21427625C211yesmaximal, characteristic, complemented
25#21427576C211yesmaximal, characteristic, complemented
26#21427563C211yesmaximal, characteristic, complemented
27#21427538C211yesmaximal, characteristic, complemented
28#21426795C211yesmaximal, characteristic, complemented
29#21426725C211yesmaximal, characteristic, complemented
30#385×D59C211yesmaximal, characteristic, complemented
31C59×#2743C211yesmaximal, characteristic, complemented
32C23×C4×D59C2211yescharacteristic
33C2×#14273717C2211yescharacteristic, complemented
34C2×#14273712C2211yescharacteristic
35C2×#14273712C2211yescharacteristic
36C2×#14273711C2211yescharacteristic
37C2×#14273710C2211yescharacteristic
38C2×#14273709C2211yescharacteristic
39C2×#14273709C2211yescharacteristic
40C2×#14273702C2211yescharacteristic
41C2×#14273701C2211yescharacteristic, complemented
42C2×#14273700C2211yescharacteristic
43C2×#14273700C2211yescharacteristic
44C2×#14273700C2211yescharacteristic
45C2×#14273699C2211yescharacteristic
46C2×#14273698C2211yescharacteristic
47C2×#14273697C2211yescharacteristic
48C2×#14273697C2211yescharacteristic
49C2×#14273695C2211yescharacteristic
50C2×C4×D236C2211yescharacteristic
51C2×#14273689C2211yescharacteristic
52C2×C4×C22⋊D59C2211yescharacteristic
53C2×C4⋊C4×D59C2211yescharacteristic
54C2×C4⋊C4×D59C2211yescharacteristic
55C2×C22⋊C4×D59C2211yescharacteristic
56C2×C22⋊C4×D59C2211yescharacteristic
57#16837344C2211yescharacteristic, complemented
58#16837341C2211yescharacteristic, complemented
59#16837339C2211yescharacteristic
60#16837339C2211yescharacteristic, complemented
61#16837337C2211yescharacteristic
62#16837337C2211yescharacteristic, complemented
63#16837336C2211yescharacteristic, complemented
64#16837336C2211yescharacteristic, complemented
65#16837336C2211yescharacteristic, complemented
66#16837335C2211yescharacteristic, complemented
67#16837335C2211yescharacteristic, complemented
68#16837335C2211yescharacteristic, complemented
69#16837334C2211yescharacteristic, complemented
70#16837333C2211yescharacteristic, complemented
71#16837331C2211yescharacteristic, complemented
72#16837331C2211yescharacteristic, complemented
73#16837331C2211yescharacteristic, complemented
74#16837331C2211yescharacteristic, complemented
75#16837329C2211yescharacteristic, complemented
76#16837327C2211yescharacteristic
77#16837326C2211yescharacteristic
78#16837326C2211yescharacteristic, complemented
79#16837326C2211yescharacteristic, complemented
80#16837325C2211yescharacteristic
81#16837325C2211yescharacteristic, complemented
82#16837325C2211yescharacteristic, complemented
83#16837324C2211yescharacteristic
84#16837324C2211yescharacteristic, complemented
85#16837324C2211yescharacteristic, complemented
86#16837319C2211yescharacteristic
87#16837318C2211yescharacteristic
88#16837318C2211yescharacteristic, complemented
89#16837318C2211yescharacteristic, complemented
90#16837317C2211yescharacteristic
91#16837317C2211yescharacteristic
92#16837317C2211yescharacteristic, complemented
93#16837317C2211yescharacteristic, complemented
94#16837317C2211yescharacteristic, complemented
95#16837316C2211yescharacteristic
96#16837312C2211yescharacteristic
97#16837311C2211yescharacteristic
98#16837311C2211yescharacteristic
99#16837303C2211yescharacteristic
100#16837303C2211yescharacteristic
101#16837303C2211yescharacteristic, complemented
102#16837302C2211yescharacteristic
103#16837302C2211yescharacteristic
104#16837302C2211yescharacteristic
105#16837300C2211yescharacteristic, complemented
106#16837299C2211yescharacteristic, complemented
107#16837299C2211yescharacteristic, complemented
108#16837298C2211yescharacteristic, complemented
109#16837296C2211yescharacteristic
110#16837294C2211yescharacteristic
111#16837293C2211yescharacteristic
112#16837293C2211yescharacteristic, complemented
113#16837291C2211yescharacteristic, complemented
114#16837290C2211yescharacteristic
115#16837290C2211yescharacteristic, complemented
116#16837290C2211yescharacteristic, complemented
117#16837289C2211yescharacteristic, complemented
118#16837289C2211yescharacteristic, complemented
119#16837288C2211yescharacteristic, complemented
120#16837287C2211yescharacteristic, complemented
121#16837283C2211yescharacteristic, complemented
122#16837281C2211yescharacteristic
123#16837281C2211yescharacteristic
124#16837280C2211yescharacteristic
125#16837280C2211yescharacteristic
126#16837280C2211yescharacteristic
127#16837280C2211yescharacteristic
128#16837280C2211yescharacteristic
129#16837280C2211yescharacteristic
130#16837280C2211yescharacteristic
131#16837280C2211yescharacteristic
132#16837280C2211yescharacteristic
133#16837280C2211yescharacteristic, complemented
134#16837280C2211yescharacteristic, complemented
135#16837278C2211yescharacteristic
136#16837278C2211yescharacteristic
137#16837278C2211yescharacteristic
138#16837278C2211yescharacteristic, complemented
139#16837277C2211yescharacteristic
140#16837276C2211yescharacteristic
141#16837276C2211yescharacteristic
142#16837276C2211yescharacteristic
143#16837276C2211yescharacteristic
144#16837276C2211yescharacteristic
145#16837276C2211yescharacteristic
146#16837276C2211yescharacteristic
147#16837276C2211yescharacteristic
148#16837276C2211yescharacteristic, complemented
149#16837276C2211yescharacteristic, complemented
150#16837275C2211yescharacteristic
151#16837274C2211yescharacteristic
152#16837273C2211yescharacteristic
153#16837273C2211yescharacteristic
154#16837273C2211yescharacteristic, complemented
155#16837269C2211yescharacteristic, complemented
156#16837266C2211yescharacteristic, complemented
157#16837266C2211yescharacteristic, complemented
158#16837264C2211yescharacteristic
159#16837264C2211yescharacteristic, complemented
160#16837263C2211yescharacteristic
161#16837262C2211yescharacteristic, complemented
162#16837261C2211yescharacteristic
163#16837261C2211yescharacteristic
164#16837261C2211yescharacteristic
165#16837261C2211yescharacteristic, complemented
166#16837260C2211yescharacteristic
167#16837259C2211yescharacteristic
168#16837257C2211yescharacteristic
169#16837249C2211yescharacteristic
170#95×D59C2211yescharacteristic
171#95×D59C2211yescharacteristic
172C59×#400C2211yescharacteristic, complemented
173C59×#400C2211yescharacteristic, complemented
174C59×#400C2211yescharacteristic, complemented
175C59×#399C2211yescharacteristic
176C59×#396C2211yescharacteristic, complemented
177C59×#394C2211yescharacteristic
178C59×#388C2211yescharacteristic
179C59×#388C2211yescharacteristic, complemented
180C59×#387C2211yescharacteristic, complemented
181C59×#386C2211yescharacteristic
182C59×#386C2211yescharacteristic
183C59×#385C2211yescharacteristic
184C59×#381C2211yescharacteristic
185C59×#381C2211yescharacteristic, complemented
186C59×#380C2211yescharacteristic, complemented
187C24×D59C2311yescharacteristic
188C22×D236C2311yescharacteristic
189C22×D236C2311yescharacteristic
190C22×D236C2311yescharacteristic
191C22×D236C2311yescharacteristic
192C22×D236C2311yescharacteristic
193C22×C22⋊D59C2311yescharacteristic
194C22×C22⋊D59C2311yescharacteristic
195C22×C22⋊D59C2311yescharacteristic
196C22×C22⋊D59C2311yescharacteristic
197C22×C22⋊D59C2311yescharacteristic
198C22×C22⋊D59C2311yescharacteristic
199C23×Dic59C2311yescharacteristic
200C22×C4×D59—42no—
201C22×C4×D59—42no—
202C22×C4×D59—42no—
203C22×C4×D59C2311yescharacteristic
204C22×C4×D59C2311yescharacteristic
205C22×C4×D59C2311yescharacteristic
206C22×C4×D59C2311yescharacteristic
207C22×C4×D59C2311yescharacteristic
208C22×C4×D59C2311yescharacteristic
209C22×C4×D59C2311yescharacteristic
210C22×C4×D59C2311yescharacteristic
211C22×C4×D59C2311yescharacteristic
212C22×C4×D59C2311yescharacteristic
213#14273717—42no—
214#14273712—42no—
215#14273712—42no—
216#14273711—42no—
217#14273710—42no—
218#14273709—42no—
219#14273709—42no—
220#14273702—24no—
221#14273701—42no—
222#14273700—42no—
223#14273700—42no—
224#14273700—42no—
225#14273699—42no—
226#14273698—42no—
227#14273697—42no—
228#14273697—42no—
229#14273695—42no—
230C4×D236—42no—
231#14273689—42no—
232C4×C22⋊D59—24no—
233C2×C4⋊Dic59C2311yescharacteristic
234C2×C4⋊Dic59C2311yescharacteristic
235C2×C4⋊Dic59C2311yescharacteristic
236C2×C4⋊Dic59C2311yescharacteristic
237C2×C4⋊Dic59C2311yescharacteristic
238C2×C4⋊Dic59C2311yescharacteristic
239C2×C4⋊Dic59C2311yescharacteristic
240C2×C4⋊Dic59C2311yescharacteristic
241C2×C4⋊Dic59C2311yescharacteristic
242C2×Dic59⋊C4C2311yescharacteristic
243C2×Dic59⋊C4C2311yescharacteristic
244C2×Dic59⋊C4C2311yescharacteristic
245C2×Dic59⋊C4C2311yescharacteristic
246C2×Dic59⋊C4C2311yescharacteristic
247C2×Dic59⋊C4C2311yescharacteristic
248C2×Dic59⋊C4C2311yescharacteristic
249C2×Dic59⋊C4C2311yescharacteristic
250C2×Dic59⋊C4C2311yescharacteristic
251C2×Dic59⋊C4C2311yescharacteristic
252C2×Dic59⋊C4C2311yescharacteristic
253C2×Dic59⋊C4C2311yescharacteristic
254C2×Dic59⋊C4C2311yescharacteristic
255C2×Dic59⋊C4C2311yescharacteristic
256C2×Dic59⋊C4C2311yescharacteristic
257C2×Dic59⋊C4C2311yescharacteristic
258C2×Dic59⋊C4C2311yescharacteristic
259C2×Dic59⋊C4C2311yescharacteristic
260C4⋊C4×D59—42no—
261C4⋊C4×D59—42no—
262C2×C22⋊Dic59C2311yescharacteristic
263C2×C22⋊Dic59C2311yescharacteristic
264C2×C22⋊Dic59C2311yescharacteristic
265C2×C22⋊Dic59C2311yescharacteristic
266C2×C22⋊Dic59C2311yescharacteristic
267C2×C22⋊Dic59C2311yescharacteristic
268C2×C22⋊Dic59C2311yescharacteristic
269C2×C22⋊Dic59C2311yescharacteristic
270C2×(C2×D59)⋊C4C2311yescharacteristic
271C2×(C2×D59)⋊C4C2311yescharacteristic
272C2×(C2×D59)⋊C4C2311yescharacteristic
273C2×(C2×D59)⋊C4C2311yescharacteristic
274C2×(C2×D59)⋊C4C2311yescharacteristic
275C2×(C2×D59)⋊C4C2311yescharacteristic
276C2×(C2×D59)⋊C4C2311yescharacteristic
277C2×(C2×D59)⋊C4C2311yescharacteristic
278C2×(C2×D59)⋊C4C2311yescharacteristic
279C2×(C2×D59)⋊C4C2311yescharacteristic
280C2×(C2×D59)⋊C4C2311yescharacteristic
281C2×(C2×D59)⋊C4C2311yescharacteristic
282C2×(C2×D59)⋊C4C2311yescharacteristic
283C2×(C2×D59)⋊C4C2311yescharacteristic
284C2×(C2×D59)⋊C4C2311yescharacteristic
285C2×(C2×D59)⋊C4C2311yescharacteristic
286C2×(C2×D59)⋊C4C2311yescharacteristic
287C2×(C2×D59)⋊C4C2311yescharacteristic
288C2×(C2×D59)⋊C4C2311yescharacteristic
289C2×(C2×D59)⋊C4C2311yescharacteristic
290C2×(C2×D59)⋊C4C2311yescharacteristic
291C2×(C2×D59)⋊C4C2311yescharacteristic
292C2×(C2×D59)⋊C4C2311yescharacteristic
293C2×(C2×D59)⋊C4C2311yescharacteristic
294C2×(C2×D59)⋊C4C2311yescharacteristic
295C2×(C2×D59)⋊C4C2311yescharacteristic
296C2×(C2×D59)⋊C4C2311yescharacteristic
297C2×(C2×D59)⋊C4C2311yescharacteristic
298C2×(C2×D59)⋊C4C2311yescharacteristic
299C2×(C2×D59)⋊C4C2311yescharacteristic
300C2×(C2×D59)⋊C4C2311yescharacteristic
301C2×(C2×D59)⋊C4C2311yescharacteristic
302C22⋊C4×D59—24no—
303C22⋊C4×D59—42no—
304C2×C4×Dic59C2311yescharacteristic
305C2×C4×Dic59C2311yescharacteristic
306C2×C4×Dic59C2311yescharacteristic
307C2×C4×Dic59C2311yescharacteristic
308C59⋊#95C2311yescharacteristic
309C59⋊#95C2311yescharacteristic
310C59⋊#95C2311yescharacteristic
311C59⋊#95C2311yescharacteristic
312C59⋊#95C2311yescharacteristic
313C59⋊#95C2311yescharacteristic
314C59⋊#95C2311yescharacteristic
315C59⋊#95C2311yescharacteristic
316C59⋊#95C2311yescharacteristic
317C59⋊#95C2311yescharacteristic
318C59⋊#95C2311yescharacteristic
319C59⋊#95C2311yescharacteristic
320C59⋊#95C2311yescharacteristic
321C59⋊#95C2311yescharacteristic
322C59⋊#95C2311yescharacteristic
323C59⋊#95C2311yescharacteristic
324C59⋊#95C2311yescharacteristic
325C59⋊#95C2311yescharacteristic
326C59⋊#95C2311yescharacteristic
327C59⋊#95C2311yescharacteristic
328C59⋊#95C2311yescharacteristic
329C59⋊#95C2311yescharacteristic
330C59⋊#95C2311yescharacteristic
331C59⋊#95C2311yescharacteristic
332C59⋊#95C2311yescharacteristic
333C59⋊#95C2311yescharacteristic
334C22×D4×C59C2311yescharacteristic
335C23×C4×C59C2311yescharacteristic
336C23×C4×C59C2311yescharacteristic
337C2×C4⋊C4×C59C2311yescharacteristic
338C2×C4⋊C4×C59C2311yescharacteristic
339C2×C4⋊C4×C59C2311yescharacteristic
340C2×C4⋊C4×C59C2311yescharacteristic
341C2×C4⋊C4×C59C2311yescharacteristic
342C2×C4⋊C4×C59C2311yescharacteristic
343C2×C4⋊C4×C59C2311yescharacteristic
344C2×C22⋊C4×C59C2311yescharacteristic
345C2×C22⋊C4×C59C2311yescharacteristic
346C2×C22⋊C4×C59C2311yescharacteristic
347C2×C22⋊C4×C59C2311yescharacteristic
348C2×C22⋊C4×C59C2311yescharacteristic
349C2×C22⋊C4×C59C2311yescharacteristic
350C2×C22⋊C4×C59C2311yescharacteristic
351C2×C22⋊C4×C59C2311yescharacteristic
352C2×C22⋊C4×C59C2311yescharacteristic
353C2×C22⋊C4×C59C2311yescharacteristic
354C2×C42×C59C2311yescharacteristic
355#95×C59C2311yescharacteristic
356#95×C59C2311yescharacteristic
357#95×C59C2311yescharacteristic
358#95×C59C2311yescharacteristic
359#95×C59C2311yescharacteristic
360#95×C59C2311yescharacteristic
361#95×C59C2311yescharacteristic
362#95×C59C2311yescharacteristic
363#95×C59C2311yescharacteristic
364#95×C59C2311yescharacteristic
365#95×C59C2311yescharacteristic
366#95×C59C2311yescharacteristic
367#95×C59C2311yescharacteristic
368#95×C59C2311yescharacteristic
369C24×C59C2411yescharacteristic
370C24×C59C2411yescharacteristic
371C23×D59—22no—
372C23×D59—22no—
373C23×D59—22no—
374C23×D59—22no—
375C23×D59—22no—
376C23×D59—41no—
377C23×D59—41no—
378C23×D59C2411yescharacteristic
379C23×D59C2411yescharacteristic
380C23×D59C2411yescharacteristic
381C23×D59C2411yescharacteristic
382C2×D4×C59—22no—
383C2×D4×C59—41no—
384C2×D4×C59—41no—
385C22×C4×C59—22no—
386C22×C4×C59—22no—
387C22×C4×C59—41no—
388C22×C4×C59—41no—
389C22×C4×C59—41no—
390C22×C4×C59—41no—
391C22×C4×C59C2411yescharacteristic
392C22×C4×C59C2411yescharacteristic
393C22×C4×C59C2411yescharacteristic
394C22×C4×C59C2411yescharacteristic
395C22×C4×C59C2411yescharacteristic
396C22×C4×C59C2411yescharacteristic
397C22×C4×C59C2411yescharacteristic
398C22×C4×C59C2411yescharacteristic
399C22×C4×C59C2411yescharacteristic
400C22×C4×C59C2411yescharacteristic
401C22×C4×C59C2411yescharacteristic
402C22×C4×C59C2411yescharacteristic
403C22×C4×C59C2411yescharacteristic
404C2×C22⋊D59—22no—
405C2×C22⋊D59—22no—
406C2×C22⋊D59—22no—
407C2×C22⋊D59—22no—
408C2×C22⋊D59—22no—
409C2×C22⋊D59—22no—
410C2×C22⋊D59—22no—
411C2×C22⋊D59—41no—
412C2×C22⋊D59—41no—
413C2×C22⋊D59—41no—
414C2×C22⋊D59—41no—
415C2×C22⋊D59—41no—
416C2×C22⋊D59—41no—
417C2×C22⋊D59—41no—
418C2×C22⋊D59—41no—
419C2×C22⋊D59—41no—
420C2×C22⋊D59—41no—
421C2×C22⋊D59—41no—
422C22×Dic59—22no—
423C22×Dic59—22no—
424C22×Dic59—41no—
425C22×Dic59C2411yescharacteristic
426C22×Dic59C2411yescharacteristic
427C22×Dic59C2411yescharacteristic
428C22×Dic59C2411yescharacteristic
429C22×Dic59C2411yescharacteristic
430C22×Dic59C2411yescharacteristic
431C22×Dic59C2411yescharacteristic
432C22×Dic59C2411yescharacteristic
433C22×Dic59C2411yescharacteristic
434C22×Dic59C2411yescharacteristic
435C22×Dic59C2411yescharacteristic
436C22×Dic59C2411yescharacteristic
437C2×D236—22no—
438C2×D236—22no—
439C2×D236—22no—
440C2×D236—22no—
441C2×D236—22no—
442C2×D236—22no—
443C2×D236—22no—
444C2×D236—22no—
445C2×D236—22no—
446C2×D236—41no—
447C2×D236—41no—
448C2×D236—41no—
449C2×D236—41no—
450C2×D236—41no—
451C2×D236—41no—
452C2×C4×D59—22no—
453C2×C4×D59—22no—
454C2×C4×D59—22no—
455C2×C4×D59—22no—
456C2×C4×D59—22no—
457C2×C4×D59—22no—
458C2×C4×D59—22no—
459C2×C4×D59—22no—
460C2×C4×D59—22no—
461C2×C4×D59—41no—
462C2×C4×D59—41no—
463C2×C4×D59—41no—
464C2×C4×D59—41no—
465C2×C4×D59—41no—
466C2×C4×D59—41no—
467C2×C4×D59—41no—
468C2×C4×D59—41no—
469C2×C4×D59—41no—
470C2×C4×D59—41no—
471C2×C4×D59—416no—
472C2×C4×D59—41no—
473C2×C4×D59—41no—
474C2×C4×D59—41no—
475C2×C4×D59—41no—
476C2×C4×D59—41no—
477C2×C4×D59—41no—
478C2×C4×D59—41no—
479C2×C4×D59—41no—
480C2×C4×D59—41no—
481C2×C4×D59—41no—
482C2×C4×D59#4114yes—
483C4⋊C4×C59—22no—
484C4⋊C4×C59—41no—
485C4⋊C4×C59—41no—
486C4⋊C4×C59—41no—
487C4⋊C4×C59—41no—
488C4⋊C4×C59—41no—
489C4⋊C4×C59—41no—
490C22⋊C4×C59—22no—
491C22⋊C4×C59—22no—
492C22⋊C4×C59—41no—
493C22⋊C4×C59—41no—
494C22⋊C4×C59—41no—
495C22⋊C4×C59—41no—
496C22⋊C4×C59—41no—
497C22⋊C4×C59—41no—
498C22⋊C4×C59—41no—
499C22⋊C4×C59—41no—
500C42×C59—41no—
501C22⋊Dic59—22no—
502C22⋊Dic59—22no—
503C22⋊Dic59—22no—
504C22⋊Dic59—22no—
505C22⋊Dic59—41no—
506C22⋊Dic59—41no—
507C22⋊Dic59—41no—
508C22⋊Dic59—41no—
509(C2×D59)⋊C4—22no—
510(C2×D59)⋊C4—22no—
511(C2×D59)⋊C4—22no—
512(C2×D59)⋊C4—22no—
513(C2×D59)⋊C4—22no—
514(C2×D59)⋊C4—22no—
515(C2×D59)⋊C4—22no—
516(C2×D59)⋊C4—22no—
517(C2×D59)⋊C4—22no—
518(C2×D59)⋊C4—22no—
519(C2×D59)⋊C4—22no—
520(C2×D59)⋊C4—41no—
521(C2×D59)⋊C4—41no—
522(C2×D59)⋊C4—41no—
523(C2×D59)⋊C4—41no—
524(C2×D59)⋊C4—41no—
525(C2×D59)⋊C4—41no—
526(C2×D59)⋊C4—41no—
527(C2×D59)⋊C4—41no—
528(C2×D59)⋊C4—41no—
529(C2×D59)⋊C4—41no—
530(C2×D59)⋊C4—41no—
531(C2×D59)⋊C4—41no—
532(C2×D59)⋊C4—41no—
533(C2×D59)⋊C4—41no—
534(C2×D59)⋊C4—41no—
535(C2×D59)⋊C4—41no—
536(C2×D59)⋊C4—41no—
537(C2×D59)⋊C4—41no—
538(C2×D59)⋊C4—41no—
539(C2×D59)⋊C4—41no—
540(C2×D59)⋊C4—41no—
541C4⋊Dic59—22no—
542C4⋊Dic59—22no—
543C4⋊Dic59—41no—
544C4⋊Dic59—41no—
545C4⋊Dic59—41no—
546C4⋊Dic59—41no—
547C4⋊Dic59—41no—
548C4⋊Dic59—41no—
549C4⋊Dic59—41no—
550Dic59⋊C4—22no—
551Dic59⋊C4—22no—
552Dic59⋊C4—22no—
553Dic59⋊C4—41no—
554Dic59⋊C4—41no—
555Dic59⋊C4—41no—
556Dic59⋊C4—41no—
557Dic59⋊C4—41no—
558Dic59⋊C4—41no—
559Dic59⋊C4—41no—
560Dic59⋊C4—41no—
561Dic59⋊C4—41no—
562Dic59⋊C4—41no—
563Dic59⋊C4—41no—
564Dic59⋊C4—41no—
565Dic59⋊C4—41no—
566Dic59⋊C4—41no—
567Dic59⋊C4—41no—
568C4×Dic59—22no—
569C4×Dic59—41no—
570C4×Dic59—41no—
571C4×Dic59—41no—
572C23×C59—21no—
573C23×C59—21no—
574C23×C59—21no—
575C23×C59—21no—
576C23×C59—21no—
577C23×C59—21no—
578C23×C59—21no—
579C23×C59—21no—
580C23×C59—21no—
581C23×C59—21no—
582C23×C59—21no—
583C23×C59—21no—
584C23×C59—21no—
585C23×C59H(5,𝔽2)12yes—
586C23×C59C2511yescharacteristic
587C22×D59—21no—
588C22×D59—21no—
589C22×D59—21no—
590C22×D59—21no—
591C22×D59—28no—
592C22×D59—21no—
593C22×D59—21no—
594C22×D59—21no—
595C22×D59—21no—
596C22×D59—21no—
597C22×D59—21no—
598C22×D59—21no—
599C22×D59—21no—
600C22×D59—21no—
601C22×D59—21no—
602C22×D59—21no—
603C22×D59—21no—
604C22×D59—21no—
605C22×D59—21no—
606C22×D59—21no—
607C22×D59—21no—
608C22×D59—21no—
609C22×D59—21no—
610C22×D59—21no—
611C22×D59—21no—
612C22×D59—44no—
613C22×D59—44no—
614C22×D59—44no—
615C22×D59—44no—
616C22×D59—44no—
617C22×D59—44no—
618C22×D59C2×#4112yes—
619C22×D59H(5,𝔽2)12yes—
620C22×D59H(5,𝔽2)12yes—
621C22×D592−1+412yes—
622D4×C59—82no—
623C2×C4×C59—21no—
624C2×C4×C59—21no—
625C2×C4×C59—21no—
626C2×C4×C59—21no—
627C2×C4×C59—21no—
628C2×C4×C59—21no—
629C2×C4×C59—21no—
630C2×C4×C59—21no—
631C2×C4×C59—21no—
632C2×C4×C59—21no—
633C2×C4×C59—21no—
634C2×C4×C59—21no—
635C2×C4×C59—21no—
636C2×C4×C59—21no—
637C2×C4×C59—21no—
638C2×C4×C59—21no—
639C2×C4×C59—21no—
640C2×C4×C59—21no—
641C2×C4×C59—21no—
642C2×C4×C59—21no—
643C2×C4×C59—21no—
644C2×C4×C59—21no—
645C2×C4×C59—21no—
646C2×C4×C59—21no—
647C2×C4×C59—21no—
648C2×C4×C59—21no—
649C2×C4×C59—21no—
650C2×C4×C59—21no—
651C2×C4×C59—21no—
652C2×C4×C59—21no—
653C2×C4×C59—21no—
654C2×C4×C59—21no—
655C2×C4×C59—21no—
656C2×C4×C59—21no—
657C2×C4×C59—21no—
658C2×C4×C59—21no—
659C2×C4×C59—21no—
660C2×C4×C59—21no—
661C2×C4×C59—44no—
662C2×C4×C59—82no—
663C2×C4×C59C2×#4112yes—
664C22⋊D59—44no—
665C22⋊D59—82no—
666C22⋊D59—82no—
667C22⋊D59—82no—
668C22⋊D59—82no—
669C22⋊D59—82no—
670C2×Dic59—21no—
671C2×Dic59—21no—
672C2×Dic59—21no—
673C2×Dic59—21no—
674C2×Dic59—21no—
675C2×Dic59—21no—
676C2×Dic59—21no—
677C2×Dic59—21no—
678C2×Dic59—21no—
679C2×Dic59—21no—
680C2×Dic59—21no—
681C2×Dic59—21no—
682C2×Dic59—21no—
683C2×Dic59—21no—
684C2×Dic59—21no—
685C2×Dic59—21no—
686C2×Dic59—21no—
687C2×Dic59—21no—
688C2×Dic59—21no—
689C2×Dic59—21no—
690C2×Dic59—21no—
691C2×Dic59—21no—
692C2×Dic59—21no—
693C2×Dic59—21no—
694C2×Dic59—21no—
695C2×Dic59—21no—
696C2×Dic59—21no—
697C2×Dic59—21no—
698C2×Dic59—21no—
699C2×Dic59—21no—
700C2×Dic59—21no—
701C2×Dic59—21no—
702C2×Dic59—21no—
703C2×Dic59—21no—
704C2×Dic59—44no—
705C2×Dic59C2×#4112yes—
706C2×Dic59H(5,𝔽2)12yes—
707D236—44no—
708D236—44no—
709D236—82no—
710D236—82no—
711D236—82no—
712C4×D59—44no—
713C4×D59—44no—
714C4×D59—44no—
715C4×D59—44no—
716C4×D59—44no—
717C4×D59—44no—
718C4×D59—82no—
719C4×D59—82no—
720C4×D59—82no—
721C4×D59—82no—
722#36777—591nomaximal, Sylow
723C22×C59—22no—
724C22×C59—22no—
725C22×C59—22no—
726C22×C59—41no—
727C22×C59—41no—
728C22×C59—41no—
729C22×C59—41no—
730C22×C59—41no—
731C22×C59—41no—
732C22×C59—41no—
733C22×C59—41no—
734C22×C59—41no—
735C22×C59—41no—
736C22×C59—41no—
737C22×C59C22×#4111yescharacteristic
738C22×C59C2×H(5,𝔽2)11yescharacteristic
739C22×C59C2×H(5,𝔽2)11yescharacteristic
740C22×C59C2×H(5,𝔽2)11yescharacteristic
741C22×C59C2×H(5,𝔽2)11yescharacteristic
742C22×C59C2×2−1+411yescharacteristic
743C22×C59#58511yescharacteristic
744C2×D59—22no—
745C2×D59—22no—
746C2×D59—22no—
747C2×D59—22no—
748C2×D59—22no—
749C2×D59—22no—
750C2×D59—22no—
751C2×D59—22no—
752C2×D59—22no—
753C2×D59—416no—
754C2×D59—41no—
755C2×D59—41no—
756C2×D59—41no—
757C2×D59—41no—
758C2×D59—41no—
759C2×D59—41no—
760C2×D59—41no—
761C2×D59—41no—
762C2×D59—41no—
763C2×D59—41no—
764C2×D59—41no—
765C2×D59—41no—
766C2×D59—41no—
767C2×D59—41no—
768C2×D59—41no—
769C2×D59—41no—
770C2×D59—41no—
771C2×D59—41no—
772C2×D59#54014yes—
773C4×C59—22no—
774C4×C59—41no—
775C4×C59—41no—
776C4×C59—41no—
777C4×C59—41no—
778C4×C59—41no—
779C4×C59—41no—
780C4×C59—41no—
781C4×C59—41no—
782C4×C59—41no—
783C4×C59—41no—
784C4×C59—41no—
785C4×C59—41no—
786Dic59—22no—
787Dic59—22no—
788Dic59—41no—
789Dic59—41no—
790Dic59—41no—
791Dic59—41no—
792Dic59—41no—
793Dic59—41no—
794Dic59—41no—
795Dic59—41no—
796Dic59—41no—
797Dic59—41no—
798#2849—591no—
799#2847—591no—
800#2780—591no—
801#2780—591no—
802#2768—591no—
803#2761—591no—
804#2753—591no—
805#2749—591no—
806#2748—591no—
807#2743D5911yescharacteristic, complemented
808#2738—591no—
809#2711—591no—
810#2707—591no—
811#2706—591no—
812#2701—591no—
813#2701—591no—
814#2688—591no—
815#2671—591no—
816#2623—591no—
817#2618—591no—
818#2539—591no—
819#2534—591no—
820#2442—591no—
821#2425—591no—
822#2424—591no—
823#2419—591no—
824#2418—591no—
825#2416—591no—
826#2325—591no—
827#2318—591no—
828C2×#385—591no—
829C2×C59—42no—
830C2×C59—81no—
831C2×C59C2×#54011yescharacteristic
832C2×C59#349211yescharacteristic
833C2×C59#350511yescharacteristic
834C2×C59#353211yescharacteristic
835C2×C59#353411yescharacteristic
836C2×C59#353511yescharacteristic
837C2×C59#353611yescharacteristic
838D59—24no—
839D59—42no—
840D59—81no—
841D59—81no—
842C24×C4—591no—
843C2×#125—591no—
844C2×#123—591no—
845C2×#123—591no—
846C2×#123—591no—
847C2×#123—591no—
848C2×#123—591no—
849C2×#123—591no—
850C2×#121—591no—
851C2×#121—591no—
852C2×#121—591no—
853C2×#121—591no—
854C2×#121—591no—
855C2×#121—591no—
856C2×#121—591no—
857C2×#120—591no—
858C2×#120—591no—
859C2×#120—591no—
860C2×C4×D4—591no—
861C2×C4×D4—591no—
862C2×C4×D4—591no—
863C22×C4⋊C4—591no—
864C22×C4⋊C4—591no—
865C22×C22⋊C4—591no—
866C22×C22⋊C4—591no—
867#400—591no—
868#400—591no—
869#400C2×D5911yescharacteristic, complemented
870#400C2×D5911yescharacteristic, complemented
871#400C2×D5911yescharacteristic, complemented
872#399—591no—
873#399—591no—
874#399—591no—
875#399—591no—
876#399C2×D5911yescharacteristic
877#398—591no—
878#398—591no—
879#398—591no—
880#398—591no—
881#398—591no—
882#398—591no—
883#398—591no—
884#398—591no—
885#397—591no—
886#397—591no—
887#397—591no—
888#397—591no—
889#397—591no—
890#397—591no—
891#396—591no—
892#396—591no—
893#396—591no—
894#396—591no—
895#396—591no—
896#396—591no—
897#396—591no—
898#396—591no—
899#396—591no—
900#396C2×D5911yescharacteristic, complemented
901#394—591no—
902#394—591no—
903#394—591no—
904#394—591no—
905#394—591no—
906#394—591no—
907#394—591no—
908#394—591no—
909#394—591no—
910#394—591no—
911#394C2×D5911yescharacteristic
912#392—591no—
913#392—591no—
914#392—591no—
915#390—591no—
916#390—591no—
917#390—591no—
918#390—591no—
919#390—591no—
920#390—591no—
921#389—591no—
922#389—591no—
923#389—591no—
924#389—591no—
925#388—591no—
926#388—591no—
927#388—591no—
928#388—591no—
929#388—591no—
930#388—591no—
931#388—591no—
932#388—591no—
933#388C2×D5911yescharacteristic
934#388C2×D5911yescharacteristic, complemented
935#387—591no—
936#387—591no—
937#387—591no—
938#387—591no—
939#387—591no—
940#387C2×D5911yescharacteristic, complemented
941#386—591no—
942#386—591no—
943#386—591no—
944#386—591no—
945#386—591no—
946#386—591no—
947#386—591no—
948#386—591no—
949#386—591no—
950#386—591no—
951#386—591no—
952#386—591no—
953#386—591no—
954#386—591no—
955#386—591no—
956#386—591no—
957#386—591no—
958#386C2×D5911yescharacteristic
959#386C2×D5911yescharacteristic
960#385—591no—
961#385—591no—
962#385—591no—
963#385—591no—
964#385—591no—
965#385—591no—
966#385—591no—
967#385—591no—
968#385—591no—
969#385—591no—
970#385—591no—
971#385—591no—
972#385—591no—
973#385—591no—
974#385—591no—
975#385—591no—
976#385C2×D5911yescharacteristic
977#383—591no—
978#382—591no—
979#382—591no—
980#381—591no—
981#381—591no—
982#381—591no—
983#381C2×D5911yescharacteristic
984#381C2×D5911yescharacteristic, complemented
985#380—591no—
986#380—591no—
987#380—591no—
988#380—591no—
989#380—591no—
990#380—591no—
991#380—591no—
992#380C2×D5911yescharacteristic, complemented
993#379—591no—
994C4×C22⋊C4—591no—
995C2×#95—591no—
996C2×#95—591no—
997C59#3677711yescharacteristic, complemented, Sylow
998C25—591no—
999C22×D4—591no—
1000C22×D4—591no—
1001C22×D4—591no—
1002C22×D4—591no—
1003C22×D4—591no—
1004C22×D4—591no—
1005C22×D4—591no—
1006C22×D4—591no—
1007C22×D4—591no—
1008C22×D4—591no—
1009C22×D4—591no—
1010C22×D4C22×D5911yescharacteristic
1011C23×C4—591no—
1012C23×C4—591no—
1013C23×C4—591no—
1014C23×C4—591no—
1015C23×C4—591no—
1016C23×C4—591no—
1017C23×C4—591no—
1018C23×C4—591no—
1019C23×C4—591no—
1020C23×C4—591no—
1021C23×C4—591no—
1022C23×C4—2362no—
1023C23×C4—2362no—
1024C23×C4—2362no—
1025C23×C4C22×D5911yescharacteristic
1026C23×C4C22×D5911yescharacteristic
1027#125—2362no—
1028#123—2362no—
1029#123—2362no—
1030#123—2362no—
1031#123—2362no—
1032#123—2362no—
1033#123—2362no—
1034#121—1184no—
1035#121—2362no—
1036#121—2362no—
1037#121—2362no—
1038#121—2362no—
1039#121—2362no—
1040#121—2362no—
1041#120—2362no—
1042#120—2362no—
1043#120—2362no—
1044C4×D4—1184no—
1045C4×D4—2362no—
1046C4×D4—2362no—
1047C2×C4⋊C4—591no—
1048C2×C4⋊C4—591no—
1049C2×C4⋊C4—591no—
1050C2×C4⋊C4—591no—
1051C2×C4⋊C4—591no—
1052C2×C4⋊C4—591no—
1053C2×C4⋊C4—591no—
1054C2×C4⋊C4—591no—
1055C2×C4⋊C4—591no—
1056C2×C4⋊C4—591no—
1057C2×C4⋊C4—591no—
1058C2×C4⋊C4—591no—
1059C2×C4⋊C4—591no—
1060C2×C4⋊C4—591no—
1061C2×C4⋊C4—591no—
1062C2×C4⋊C4—591no—
1063C2×C4⋊C4—591no—
1064C2×C4⋊C4—591no—
1065C2×C4⋊C4—591no—
1066C2×C4⋊C4—591no—
1067C2×C4⋊C4—591no—
1068C2×C4⋊C4—591no—
1069C2×C4⋊C4—591no—
1070C2×C4⋊C4—591no—
1071C2×C4⋊C4—591no—
1072C2×C4⋊C4—591no—
1073C2×C4⋊C4—591no—
1074C2×C4⋊C4—2362no—
1075C2×C4⋊C4—2362no—
1076C2×C4⋊C4C22×D5911yescharacteristic
1077C2×C4⋊C4C22×D5911yescharacteristic
1078C2×C4⋊C4C22×D5911yescharacteristic
1079C2×C4⋊C4C22×D5911yescharacteristic
1080C2×C4⋊C4C22×D5911yescharacteristic
1081C2×C4⋊C4C22×D5911yescharacteristic
1082C2×C4⋊C4C22×D5911yescharacteristic
1083C2×C22⋊C4—591no—
1084C2×C22⋊C4—591no—
1085C2×C22⋊C4—591no—
1086C2×C22⋊C4—591no—
1087C2×C22⋊C4—591no—
1088C2×C22⋊C4—591no—
1089C2×C22⋊C4—591no—
1090C2×C22⋊C4—591no—
1091C2×C22⋊C4—591no—
1092C2×C22⋊C4—591no—
1093C2×C22⋊C4—591no—
1094C2×C22⋊C4—591no—
1095C2×C22⋊C4—591no—
1096C2×C22⋊C4—591no—
1097C2×C22⋊C4—591no—
1098C2×C22⋊C4—591no—
1099C2×C22⋊C4—591no—
1100C2×C22⋊C4—591no—
1101C2×C22⋊C4—591no—
1102C2×C22⋊C4—591no—
1103C2×C22⋊C4—591no—
1104C2×C22⋊C4—591no—
1105C2×C22⋊C4—591no—
1106C2×C22⋊C4—591no—
1107C2×C22⋊C4—591no—
1108C2×C22⋊C4—591no—
1109C2×C22⋊C4—591no—
1110C2×C22⋊C4—591no—
1111C2×C22⋊C4—591no—
1112C2×C22⋊C4—591no—
1113C2×C22⋊C4—591no—
1114C2×C22⋊C4—591no—
1115C2×C22⋊C4—591no—
1116C2×C22⋊C4—591no—
1117C2×C22⋊C4—591no—
1118C2×C22⋊C4—591no—
1119C2×C22⋊C4—591no—
1120C2×C22⋊C4—591no—
1121C2×C22⋊C4—591no—
1122C2×C22⋊C4—591no—
1123C2×C22⋊C4—1184no—
1124C2×C22⋊C4—2362no—
1125C2×C22⋊C4C22×D5911yescharacteristic
1126C2×C22⋊C4C22×D5911yescharacteristic
1127C2×C22⋊C4C22×D5911yescharacteristic
1128C2×C22⋊C4C22×D5911yescharacteristic
1129C2×C22⋊C4C22×D5911yescharacteristic
1130C2×C22⋊C4C22×D5911yescharacteristic
1131C2×C22⋊C4C22×D5911yescharacteristic
1132C2×C22⋊C4C22×D5911yescharacteristic
1133C2×C22⋊C4C22×D5911yescharacteristic
1134C2×C22⋊C4C22×D5911yescharacteristic
1135C2×C42—591no—
1136C2×C42—591no—
1137C2×C42—591no—
1138C2×C42—591no—
1139C2×C42C22×D5911yescharacteristic
1140#95—591no—
1141#95—591no—
1142#95—591no—
1143#95—591no—
1144#95—591no—
1145#95—591no—
1146#95—591no—
1147#95—591no—
1148#95—591no—
1149#95—591no—
1150#95—591no—
1151#95—591no—
1152#95—591no—
1153#95—591no—
1154#95—591no—
1155#95—591no—
1156#95—591no—
1157#95—591no—
1158#95—591no—
1159#95—591no—
1160#95—591no—
1161#95—591no—
1162#95—591no—
1163#95—591no—
1164#95—591no—
1165#95—591no—
1166#95C22×D5911yescharacteristic
1167#95C22×D5911yescharacteristic
1168#95C22×D5911yescharacteristic
1169#95C22×D5911yescharacteristic
1170#95C22×D5911yescharacteristic
1171#95C22×D5911yescharacteristic
1172#95C22×D5911yescharacteristic
1173#95C22×D5911yescharacteristic
1174#95C22×D5911yescharacteristic
1175#95C22×D5911yescharacteristic
1176#95C22×D5911yescharacteristic
1177#95C22×D5911yescharacteristic
1178#95C22×D5911yescharacteristic
1179#95C22×D5911yescharacteristic
1180C24—591no—
1181C24—591no—
1182C24—591no—
1183C24—591no—
1184C24—1182no—
1185C24—1182no—
1186C24—1182no—
1187C24—1182no—
1188C24—1182no—
1189C24—2361no—
1190C24—2361no—
1191C24C23×D5911yescharacteristic
1192C24C23×D5911yescharacteristic
1193C2×D4—22no—
1194C2×D4—41no—
1195C2×D4—41no—
1196C2×D4—1182no—
1197C2×D4—1182no—
1198C2×D4—1182no—
1199C2×D4—1182no—
1200C2×D4—1182no—
1201C2×D4—1182no—
1202C2×D4—1182no—
1203C2×D4—1182no—
1204C2×D4—1182no—
1205C2×D4—1182no—
1206C2×D4—1182no—
1207C2×D4—1182no—
1208C2×D4—1182no—
1209C2×D4—1182no—
1210C2×D4—1182no—
1211C2×D4—1182no—
1212C2×D4—2361no—
1213C2×D4—2361no—
1214C2×D4—2361no—
1215C2×D4—2361no—
1216C2×D4—2361no—
1217C2×D4—2361no—
1218C2×D4—2361no—
1219C2×D4—2361no—
1220C2×D4—2361no—
1221C2×D4—2361no—
1222C2×D4—2361no—
1223C2×D4—2361no—
1224C2×D4—2361no—
1225C2×D4—2361no—
1226C2×D4—2361no—
1227C2×D4—2361no—
1228C2×D4—2361no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—41no—
1232C22×C4—41no—
1233C22×C4—41no—
1234C22×C4—41no—
1235C22×C4—591no—
1236C22×C4—591no—
1237C22×C4—594no—
1238C22×C4—591no—
1239C22×C4—591no—
1240C22×C4—591no—
1241C22×C4—591no—
1242C22×C4—591no—
1243C22×C4—591no—
1244C22×C4—591no—
1245C22×C4—591no—
1246C22×C4—591no—
1247C22×C4—591no—
1248C22×C4—1182no—
1249C22×C4—1182no—
1250C22×C4—1182no—
1251C22×C4—1182no—
1252C22×C4—1182no—
1253C22×C4—1182no—
1254C22×C4—1182no—
1255C22×C4—1182no—
1256C22×C4—1182no—
1257C22×C4—1182no—
1258C22×C4—1182no—
1259C22×C4—2361no—
1260C22×C4—2361no—
1261C22×C4—2361no—
1262C22×C4—2361no—
1263C22×C4—2361no—
1264C22×C4—2361no—
1265C22×C4—2361no—
1266C22×C4—2361no—
1267C22×C4—2361no—
1268C22×C4—2361no—
1269C22×C4—2361no—
1270C22×C4—2361no—
1271C22×C4—2361no—
1272C22×C4—2361no—
1273C22×C4—2361no—
1274C22×C4—2361no—
1275C22×C4—2361no—
1276C22×C4—2361no—
1277C22×C4—2361no—
1278C22×C4—2361no—
1279C22×C4—23616no—
1280C22×C4—2361no—
1281C22×C4C23×D5911yescharacteristic
1282C22×C4C23×D5911yescharacteristic
1283C22×C4C23×D5911yescharacteristic
1284C22×C4C23×D5911yescharacteristic
1285C22×C4C23×D5911yescharacteristic
1286C22×C4C23×D5911yescharacteristic
1287C22×C4C23×D5911yescharacteristic
1288C22×C4C23×D5911yescharacteristic
1289C22×C4C23×D5911yescharacteristic
1290C22×C4C23×D5911yescharacteristic
1291C22×C4C23×D5911yescharacteristic
1292C22×C4C23×D5911yescharacteristic
1293C22×C4C23×D5911yescharacteristic
1294C4⋊C4—22no—
1295C4⋊C4—41no—
1296C4⋊C4—41no—
1297C4⋊C4—41no—
1298C4⋊C4—41no—
1299C4⋊C4—41no—
1300C4⋊C4—41no—
1301C4⋊C4—1182no—
1302C4⋊C4—1182no—
1303C4⋊C4—1182no—
1304C4⋊C4—1182no—
1305C4⋊C4—1182no—
1306C4⋊C4—2361no—
1307C4⋊C4—2361no—
1308C4⋊C4—2361no—
1309C4⋊C4—2361no—
1310C4⋊C4—2361no—
1311C4⋊C4—2361no—
1312C4⋊C4—2361no—
1313C4⋊C4—2361no—
1314C4⋊C4—2361no—
1315C4⋊C4—2361no—
1316C4⋊C4—2361no—
1317C4⋊C4—2361no—
1318C4⋊C4—2361no—
1319C4⋊C4—2361no—
1320C4⋊C4—2361no—
1321C4⋊C4—2361no—
1322C4⋊C4—2361no—
1323C4⋊C4—2361no—
1324C4⋊C4—2361no—
1325C4⋊C4—2361no—
1326C4⋊C4—2361no—
1327C4⋊C4—2361no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—41no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—1182no—
1339C22⋊C4—1182no—
1340C22⋊C4—1182no—
1341C22⋊C4—1182no—
1342C22⋊C4—1182no—
1343C22⋊C4—1182no—
1344C22⋊C4—1182no—
1345C22⋊C4—1182no—
1346C22⋊C4—1182no—
1347C22⋊C4—1182no—
1348C22⋊C4—1182no—
1349C22⋊C4—1182no—
1350C22⋊C4—1182no—
1351C22⋊C4—1182no—
1352C22⋊C4—1182no—
1353C22⋊C4—2361no—
1354C22⋊C4—2361no—
1355C22⋊C4—2361no—
1356C22⋊C4—2361no—
1357C22⋊C4—2361no—
1358C22⋊C4—2361no—
1359C22⋊C4—2361no—
1360C22⋊C4—2361no—
1361C22⋊C4—2361no—
1362C22⋊C4—2361no—
1363C22⋊C4—2361no—
1364C22⋊C4—2361no—
1365C22⋊C4—2361no—
1366C22⋊C4—2361no—
1367C22⋊C4—2361no—
1368C22⋊C4—2361no—
1369C22⋊C4—2361no—
1370C22⋊C4—2361no—
1371C22⋊C4—2361no—
1372C22⋊C4—2361no—
1373C22⋊C4—2361no—
1374C22⋊C4—2361no—
1375C22⋊C4—2361no—
1376C22⋊C4—2361no—
1377C22⋊C4—2361no—
1378C42—41no—
1379C42—1182no—
1380C42—2361no—
1381C42—2361no—
1382C42—2361no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—592no—
1397C23—592no—
1398C23—592no—
1399C23—592no—
1400C23—1188no—
1401C23—1181no—
1402C23—1181no—
1403C23—1181no—
1404C23—1181no—
1405C23—1181no—
1406C23—1181no—
1407C23—1181no—
1408C23—1181no—
1409C23—1181no—
1410C23—1181no—
1411C23—1181no—
1412C23—1181no—
1413C23—1181no—
1414C23—1181no—
1415C23—1181no—
1416C23—1181no—
1417C23—1181no—
1418C23—1181no—
1419C23—1181no—
1420C23—1181no—
1421C23—1181no—
1422C23—1181no—
1423C23—1181no—
1424C23—1181no—
1425C23—2364no—
1426C23—2364no—
1427C23—2364no—
1428C23—2364no—
1429C23—2364no—
1430C23—2364no—
1431C23#1427377312yes—
1432C23C24×D5911yescharacteristic
1433D4—82no—
1434D4—4722no—
1435D4—4722no—
1436D4—4722no—
1437D4—4722no—
1438D4—4722no—
1439D4—4722no—
1440D4—4722no—
1441D4—4722no—
1442D4—2364no—
1443D4—2364no—
1444D4—2364no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—44no—
1484C2×C4—82no—
1485C2×C4—592no—
1486C2×C4—592no—
1487C2×C4—1181no—
1488C2×C4—1181no—
1489C2×C4—1181no—
1490C2×C4—1181no—
1491C2×C4—1181no—
1492C2×C4—1181no—
1493C2×C4—1181no—
1494C2×C4—1181no—
1495C2×C4—1181no—
1496C2×C4—1181no—
1497C2×C4—1181no—
1498C2×C4—1181no—
1499C2×C4—1181no—
1500C2×C4—1181no—
1501C2×C4—1181no—
1502C2×C4—1181no—
1503C2×C4—1181no—
1504C2×C4—1181no—
1505C2×C4—1181no—
1506C2×C4—1181no—
1507C2×C4—1181no—
1508C2×C4—1181no—
1509C2×C4—1181no—
1510C2×C4—1181no—
1511C2×C4—1181no—
1512C2×C4—1181no—
1513C2×C4—1181no—
1514C2×C4—1181no—
1515C2×C4—1181no—
1516C2×C4—1181no—
1517C2×C4—1181no—
1518C2×C4—1181no—
1519C2×C4—1181no—
1520C2×C4—1181no—
1521C2×C4—4722no—
1522C2×C4—4722no—
1523C2×C4—4722no—
1524C2×C4—4722no—
1525C2×C4—2364no—
1526C2×C4—2364no—
1527C2×C4—2364no—
1528C2×C4—2364no—
1529C2×C4—2364no—
1530C2×C4—2364no—
1531C2×C4—2364no—
1532C2×C4#41×D5912yes—
1533C22—22no—
1534C22—22no—
1535C22—22no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—594no—
1548C22—1182no—
1549C22—1182no—
1550C22—1182no—
1551C22—1182no—
1552C22—1182no—
1553C22—1182no—
1554C22—1182no—
1555C22—1182no—
1556C22—1182no—
1557C22—23616no—
1558C22—2361no—
1559C22—2361no—
1560C22—2361no—
1561C22—2361no—
1562C22—2361no—
1563C22—2361no—
1564C22—2361no—
1565C22—2361no—
1566C22—2361no—
1567C22—2361no—
1568C22—2361no—
1569C22—2361no—
1570C22—2361no—
1571C22—2361no—
1572C22—2361no—
1573C22—2361no—
1574C22—2361no—
1575C22—2361no—
1576C22C2×#41×D5911yescharacteristic
1577C22H(5,𝔽2)×D5911yescharacteristic
1578C22H(5,𝔽2)×D5911yescharacteristic
1579C22H(5,𝔽2)×D5911yescharacteristic
1580C22C2×#1427377311yescharacteristic
1581C222−1+4×D5911yescharacteristic
1582C22#1683823811yescharacteristic
1583C4—22no—
1584C4—41no—
1585C4—41no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—1182no—
1597C4—1182no—
1598C4—2361no—
1599C4—2361no—
1600C4—2361no—
1601C4—2361no—
1602C4—2361no—
1603C4—2361no—
1604C4—2361no—
1605C4—2361no—
1606C4—2361no—
1607C4—2361no—
1608C2—42no—
1609C2—81no—
1610C2—1184no—
1611C2—4721no—
1612C2—4721no—
1613C2—2362no—
1614C2#540×D5911yescharacteristic
1615C2#2143779611yescharacteristic
1616C2#2143792711yescharacteristic
1617C2#2143824711yescharacteristic
1618C2#2143828911yescharacteristic
1619C2#2143830411yescharacteristic
1620C2#2143831511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2743C2
hypercenter#2743D59
hypocenterC59#36777
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2743

Complements

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

NH ≅ G/Ntype
1. #21432389C2semidirect
2. #21432377C2semidirect
3. #21431743C2semidirect
4. #21431743C2semidirect
5. #21431570C2semidirect
6. #21431479C2semidirect
7. #21431371C2semidirect
8. #21431326C2semidirect
9. #21431306C2semidirect
10. #21431172C2semidirect
11. #21430859C2semidirect
12. #21430794C2semidirect
13. #21430785C2semidirect
14. #21430715C2semidirect
15. #21430712C2semidirect
16. #21430532C2semidirect
17. #21430330C2semidirect
18. #21429883C2semidirect
19. #21429843C2semidirect
20. #21429023C2semidirect
21. #21428984C2semidirect
22. #21427813C2semidirect
23. #21427652C2semidirect
24. #21427625C2semidirect
25. #21427576C2semidirect
26. #21427563C2semidirect
27. #21427538C2semidirect
28. #21426795C2semidirect
29. #21426725C2semidirect
30. #385×D59C2semidirect
31. C59×#2743C2semidirect
33. C2×#14273717C22semidirect
41. C2×#14273701C22semidirect
57. #16837344C22semidirect
58. #16837341C22semidirect
60. #16837339C22semidirect
62. #16837337C22semidirect
63. #16837336C22semidirect
64. #16837336C22semidirect
65. #16837336C22semidirect
66. #16837335C22semidirect
67. #16837335C22semidirect
68. #16837335C22semidirect
69. #16837334C22semidirect
70. #16837333C22semidirect
71. #16837331C22semidirect
72. #16837331C22semidirect
73. #16837331C22semidirect
74. #16837331C22semidirect
75. #16837329C22semidirect
78. #16837326C22semidirect
79. #16837326C22semidirect
81. #16837325C22semidirect
82. #16837325C22semidirect
84. #16837324C22semidirect
85. #16837324C22semidirect
88. #16837318C22semidirect
89. #16837318C22semidirect
92. #16837317C22semidirect
93. #16837317C22semidirect
94. #16837317C22semidirect
101. #16837303C22semidirect
105. #16837300C22semidirect
106. #16837299C22semidirect
107. #16837299C22semidirect
108. #16837298C22semidirect
112. #16837293C22semidirect
113. #16837291C22semidirect
115. #16837290C22semidirect
116. #16837290C22semidirect
117. #16837289C22semidirect
118. #16837289C22semidirect
119. #16837288C22semidirect
120. #16837287C22semidirect
121. #16837283C22semidirect
133. #16837280C22semidirect
134. #16837280C22semidirect
138. #16837278C22semidirect
148. #16837276C22semidirect
149. #16837276C22semidirect
154. #16837273C22semidirect
155. #16837269C22semidirect
156. #16837266C22semidirect
157. #16837266C22semidirect
159. #16837264C22semidirect
161. #16837262C22semidirect
165. #16837261C22semidirect
172. C59×#400C22semidirect
173. C59×#400C22semidirect
174. C59×#400C22semidirect
176. C59×#396C22semidirect
179. C59×#388C22semidirect
180. C59×#387C22semidirect
185. C59×#381C22semidirect
186. C59×#380C22semidirect
807. #2743D59semidirect
869. #400C2×D59semidirect
870. #400C2×D59semidirect
871. #400C2×D59semidirect
900. #396C2×D59semidirect
934. #388C2×D59semidirect
940. #387C2×D59semidirect
984. #381C2×D59semidirect
992. #380C2×D59semidirect
997. C59#36777semidirect

Maximal subgroups

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

subgroupindex
#214323892
#214323772
#214317432
#214315702
#214314792
#214313712
#214313262
#214313062
#214311722
#214308592
#214307942
#214307852
#214307152
#214307122
#214305322
#214303302
#214298832
#214298432
#214290232
#214289842
#214278132
#214276522
#214276252
#214275762
#214275632
#214275382
#214267952
#214267252
#385×D592
C59×#27432
#3677759