Finite Group Databasebeta

← #28797586

Subgroups — #28797586

Order 15104.

2346 conjugacy classes of subgroups.

The subgroup lattice has 1770 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21432387C211yesmaximal, characteristic, complemented
2#21432377C211yesmaximal, characteristic, complemented
3#21431948C211yesmaximal, characteristic, complemented
4#21431815C211yesmaximal, characteristic, complemented
5#21431416C211yesmaximal, characteristic, complemented
6#21431371C211yesmaximal, characteristic, complemented
7#21431359C211yesmaximal, characteristic, complemented
8#21431320C211yesmaximal, characteristic, complemented
9#21431197C211yesmaximal, characteristic, complemented
10#21430827C211yesmaximal, characteristic, complemented
11#21430824C211yesmaximal, characteristic, complemented
12#21430785C211yesmaximal, characteristic, complemented
13#21430734C211yesmaximal, characteristic, complemented
14#21430680C211yesmaximal, characteristic, complemented
15#21430535C211yesmaximal, characteristic, complemented
16#21430366C211yesmaximal, characteristic, complemented
17#21430359C211yesmaximal, characteristic, complemented
18#21430336C211yesmaximal, characteristic, complemented
19#21429873C211yesmaximal, characteristic, complemented
20#21429836C211yesmaximal, characteristic, complemented
21#21429321C211yesmaximal, characteristic, complemented
22#21429058C211yesmaximal, characteristic, complemented
23#21427734C211yesmaximal, characteristic, complemented
24#21427626C211yesmaximal, characteristic, complemented
25#21427626C211yesmaximal, characteristic, complemented
26#21427552C211yesmaximal, characteristic, complemented
27#21427552C211yesmaximal, characteristic, complemented
28#21427453C211yesmaximal, characteristic, complemented
29#21426730C211yesmaximal, characteristic, complemented
30C2×#16837280C211yesmaximal, characteristic, complemented
31C59×#2325C211yesmaximal, characteristic, complemented
32C23×D236C2211yescharacteristic
33C23×C4×D59C2211yescharacteristic
34C2×#14273723C2211yescharacteristic
35C2×#14273723C2211yescharacteristic
36C2×#14273710C2211yescharacteristic, complemented
37C2×#14273710C2211yescharacteristic, complemented
38C2×#14273709C2211yescharacteristic, complemented
39C2×#14273709C2211yescharacteristic, complemented
40C2×#14273702C2211yescharacteristic
41C2×#14273702C2211yescharacteristic
42C2×#14273701C2211yescharacteristic, complemented
43C2×#14273701C2211yescharacteristic, complemented
44C2×#14273700C2211yescharacteristic, complemented
45C2×#14273700C2211yescharacteristic, complemented
46C2×#14273699C2211yescharacteristic
47C2×#14273699C2211yescharacteristic
48C2×#14273697C2211yescharacteristic
49C2×#14273697C2211yescharacteristic
50C2×#14273695C2211yescharacteristic
51C2×#14273695C2211yescharacteristic
52C2×#14273695C2211yescharacteristic
53C2×#14273695C2211yescharacteristic
54C2×C4×C22⋊D59C2211yescharacteristic
55C22×(C2×D59)⋊C4C2211yescharacteristic
56C22×(C2×D59)⋊C4C2211yescharacteristic
57C22×(C2×D59)⋊C4C2211yescharacteristic
58#16837341C2211yescharacteristic, complemented
59#16837341C2211yescharacteristic, complemented
60#16837337C2211yescharacteristic, complemented
61#16837337C2211yescharacteristic, complemented
62#16837335C2211yescharacteristic, complemented
63#16837335C2211yescharacteristic, complemented
64#16837333C2211yescharacteristic, complemented
65#16837331C2211yescharacteristic, complemented
66#16837331C2211yescharacteristic, complemented
67#16837331C2211yescharacteristic, complemented
68#16837331C2211yescharacteristic, complemented
69#16837329C2211yescharacteristic, complemented
70#16837329C2211yescharacteristic, complemented
71#16837328C2211yescharacteristic, complemented
72#16837328C2211yescharacteristic, complemented
73#16837328C2211yescharacteristic, complemented
74#16837324C2211yescharacteristic, complemented
75#16837324C2211yescharacteristic, complemented
76#16837320C2211yescharacteristic
77#16837320C2211yescharacteristic
78#16837320C2211yescharacteristic, complemented
79#16837320C2211yescharacteristic, complemented
80#16837319C2211yescharacteristic, complemented
81#16837319C2211yescharacteristic, complemented
82#16837318C2211yescharacteristic, complemented
83#16837318C2211yescharacteristic, complemented
84#16837318C2211yescharacteristic, complemented
85#16837318C2211yescharacteristic, complemented
86#16837317C2211yescharacteristic, complemented
87#16837317C2211yescharacteristic, complemented
88#16837317C2211yescharacteristic, complemented
89#16837317C2211yescharacteristic, complemented
90#16837317C2211yescharacteristic, complemented
91#16837317C2211yescharacteristic, complemented
92#16837317C2211yescharacteristic, complemented
93#16837317C2211yescharacteristic, complemented
94#16837316C2211yescharacteristic, complemented
95#16837312C2211yescharacteristic
96#16837312C2211yescharacteristic
97#16837311C2211yescharacteristic
98#16837311C2211yescharacteristic
99#16837311C2211yescharacteristic
100#16837311C2211yescharacteristic
101#16837311C2211yescharacteristic, complemented
102#16837311C2211yescharacteristic, complemented
103#16837311C2211yescharacteristic, complemented
104#16837311C2211yescharacteristic, complemented
105#16837310C2211yescharacteristic, complemented
106#16837304C2211yescharacteristic, complemented
107#16837304C2211yescharacteristic, complemented
108#16837303C2211yescharacteristic
109#16837303C2211yescharacteristic
110#16837303C2211yescharacteristic
111#16837303C2211yescharacteristic
112#16837293C2211yescharacteristic, complemented
113#16837293C2211yescharacteristic, complemented
114#16837293C2211yescharacteristic, complemented
115#16837293C2211yescharacteristic, complemented
116#16837293C2211yescharacteristic, complemented
117#16837293C2211yescharacteristic, complemented
118#16837291C2211yescharacteristic, complemented
119#16837291C2211yescharacteristic, complemented
120#16837290C2211yescharacteristic, complemented
121#16837290C2211yescharacteristic, complemented
122#16837289C2211yescharacteristic, complemented
123#16837289C2211yescharacteristic, complemented
124#16837285C2211yescharacteristic, complemented
125#16837285C2211yescharacteristic, complemented
126#16837284C2211yescharacteristic, complemented
127#16837284C2211yescharacteristic, complemented
128#16837282C2211yescharacteristic
129#16837282C2211yescharacteristic
130#16837281C2211yescharacteristic
131#16837281C2211yescharacteristic
132#16837281C2211yescharacteristic, complemented
133#16837281C2211yescharacteristic, complemented
134#16837281C2211yescharacteristic, complemented
135#16837281C2211yescharacteristic, complemented
136#16837280C2211yescharacteristic
137#16837280C2211yescharacteristic
138#16837280C2211yescharacteristic
139#16837280C2211yescharacteristic
140#16837280C2211yescharacteristic
141#16837280C2211yescharacteristic
142#16837280C2211yescharacteristic
143#16837280C2211yescharacteristic
144#16837280C2211yescharacteristic, complemented
145#16837280C2211yescharacteristic, complemented
146#16837278C2211yescharacteristic, complemented
147#16837278C2211yescharacteristic, complemented
148#16837278C2211yescharacteristic, complemented
149#16837278C2211yescharacteristic, complemented
150#16837278C2211yescharacteristic, complemented
151#16837278C2211yescharacteristic, complemented
152#16837277C2211yescharacteristic
153#16837277C2211yescharacteristic
154#16837276C2211yescharacteristic, complemented
155#16837276C2211yescharacteristic, complemented
156#16837275C2211yescharacteristic
157#16837275C2211yescharacteristic
158#16837269C2211yescharacteristic, complemented
159#16837266C2211yescharacteristic, complemented
160#16837264C2211yescharacteristic, complemented
161#16837264C2211yescharacteristic, complemented
162#16837264C2211yescharacteristic, complemented
163#16837261C2211yescharacteristic, complemented
164#16837261C2211yescharacteristic, complemented
165#16837261C2211yescharacteristic, complemented
166#16837260C2211yescharacteristic
167#16837260C2211yescharacteristic
168#16837257C2211yescharacteristic
169#16837257C2211yescharacteristic
170C4×C22⋊Dic59C2211yescharacteristic
171C2×C59⋊#95C2211yescharacteristic
172C2×#121×C59C2211yescharacteristic
173C2×C4×D4×C59C2211yescharacteristic
174C2×C4×D4×C59C2211yescharacteristic
175C59×#388C2211yescharacteristic, complemented
176C59×#388C2211yescharacteristic, complemented
177C59×#387C2211yescharacteristic, complemented
178C59×#387C2211yescharacteristic, complemented
179C59×#386C2211yescharacteristic
180C59×#386C2211yescharacteristic
181C59×#386C2211yescharacteristic, complemented
182C59×#386C2211yescharacteristic, complemented
183C59×#385C2211yescharacteristic, complemented
184C59×#385C2211yescharacteristic, complemented
185C59×#380C2211yescharacteristic
186C2×#95×C59C2211yescharacteristic
187C24×D59C2311yescharacteristic
188C24×D59C2311yescharacteristic
189C22×D236—24no—
190C22×D236—42no—
191C22×D236—42no—
192C22×D236C2311yescharacteristic
193C22×D236C2311yescharacteristic
194C22×D236C2311yescharacteristic
195C22×D236C2311yescharacteristic
196C22×D236C2311yescharacteristic
197C22×D236C2311yescharacteristic
198C22×D236C2311yescharacteristic
199C22×D236C2311yescharacteristic
200C22×C22⋊D59C2311yescharacteristic
201C22×C22⋊D59C2311yescharacteristic
202C22×C22⋊D59C2311yescharacteristic
203C22×C22⋊D59C2311yescharacteristic
204C22×C22⋊D59C2311yescharacteristic
205C22×C22⋊D59C2311yescharacteristic
206C22×C22⋊D59C2311yescharacteristic
207C22×C22⋊D59C2311yescharacteristic
208C22×C22⋊D59C2311yescharacteristic
209C22×C22⋊D59C2311yescharacteristic
210C22×C22⋊D59C2311yescharacteristic
211C23×Dic59C2311yescharacteristic
212C23×Dic59C2311yescharacteristic
213C22×C4×D59—42no—
214C22×C4×D59—42no—
215C22×C4×D59—42no—
216C22×C4×D59C2311yescharacteristic
217C22×C4×D59C2311yescharacteristic
218C22×C4×D59C2311yescharacteristic
219C22×C4×D59C2311yescharacteristic
220C22×C4×D59C2311yescharacteristic
221#14273723—42no—
222#14273723—42no—
223#14273710—42no—
224#14273710—42no—
225#14273709—42no—
226#14273709—42no—
227#14273702—42no—
228#14273702—42no—
229#14273701—42no—
230#14273701—42no—
231#14273700—42no—
232#14273700—42no—
233#14273699—42no—
234#14273699—42no—
235#14273697—42no—
236#14273697—42no—
237#14273695—42no—
238#14273695—42no—
239#14273695—42no—
240#14273695—42no—
241C4×C22⋊D59—24no—
242C2×C4⋊Dic59C2311yescharacteristic
243C2×C4⋊Dic59C2311yescharacteristic
244C2×C4⋊Dic59C2311yescharacteristic
245C2×C4⋊Dic59C2311yescharacteristic
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×C22⋊Dic59C2311yescharacteristic
258C2×C22⋊Dic59C2311yescharacteristic
259C2×C22⋊Dic59C2311yescharacteristic
260C2×C22⋊Dic59C2311yescharacteristic
261C2×C22⋊Dic59C2311yescharacteristic
262C2×C22⋊Dic59C2311yescharacteristic
263C2×C22⋊Dic59C2311yescharacteristic
264C2×C22⋊Dic59C2311yescharacteristic
265C2×C22⋊Dic59C2311yescharacteristic
266C2×(C2×D59)⋊C4—42no—
267C2×(C2×D59)⋊C4—42no—
268C2×(C2×D59)⋊C4—42no—
269C2×(C2×D59)⋊C4C2311yescharacteristic
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
302C2×(C2×D59)⋊C4C2311yescharacteristic
303C2×(C2×D59)⋊C4C2311yescharacteristic
304C2×(C2×D59)⋊C4C2311yescharacteristic
305C2×(C2×D59)⋊C4C2311yescharacteristic
306C2×(C2×D59)⋊C4C2311yescharacteristic
307C2×(C2×D59)⋊C4C2311yescharacteristic
308C2×C4×Dic59C2311yescharacteristic
309C2×C4×Dic59C2311yescharacteristic
310C2×C4×Dic59C2311yescharacteristic
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
334C59⋊#95C2311yescharacteristic
335C59⋊#95C2311yescharacteristic
336C59⋊#95C2311yescharacteristic
337C22×D4×C59C2311yescharacteristic
338C22×D4×C59C2311yescharacteristic
339C22×D4×C59C2311yescharacteristic
340C23×C4×C59C2311yescharacteristic
341C23×C4×C59C2311yescharacteristic
342C23×C4×C59C2311yescharacteristic
343C23×C4×C59C2311yescharacteristic
344C23×C4×C59C2311yescharacteristic
345#121×C59—24no—
346C4×D4×C59—42no—
347C4×D4×C59—42no—
348C2×C4⋊C4×C59C2311yescharacteristic
349C2×C4⋊C4×C59C2311yescharacteristic
350C2×C4⋊C4×C59C2311yescharacteristic
351C2×C4⋊C4×C59C2311yescharacteristic
352C2×C4⋊C4×C59C2311yescharacteristic
353C2×C22⋊C4×C59C2311yescharacteristic
354C2×C22⋊C4×C59C2311yescharacteristic
355C2×C22⋊C4×C59C2311yescharacteristic
356C2×C22⋊C4×C59C2311yescharacteristic
357C2×C22⋊C4×C59C2311yescharacteristic
358C2×C22⋊C4×C59C2311yescharacteristic
359C2×C22⋊C4×C59C2311yescharacteristic
360C2×C22⋊C4×C59C2311yescharacteristic
361C2×C22⋊C4×C59C2311yescharacteristic
362C2×C22⋊C4×C59C2311yescharacteristic
363C2×C42×C59C2311yescharacteristic
364C2×C42×C59C2311yescharacteristic
365#95×C59C2311yescharacteristic
366#95×C59C2311yescharacteristic
367#95×C59C2311yescharacteristic
368#95×C59C2311yescharacteristic
369#95×C59C2311yescharacteristic
370#95×C59C2311yescharacteristic
371#95×C59C2311yescharacteristic
372#95×C59C2311yescharacteristic
373#95×C59C2311yescharacteristic
374#95×C59C2311yescharacteristic
375C24×C59C2411yescharacteristic
376C24×C59C2411yescharacteristic
377C24×C59C2411yescharacteristic
378C23×D59—22no—
379C23×D59—22no—
380C23×D59—22no—
381C23×D59—22no—
382C23×D59—22no—
383C23×D59—22no—
384C23×D59—22no—
385C23×D59—22no—
386C23×D59—41no—
387C23×D59—41no—
388C23×D59—41no—
389C23×D59—41no—
390C23×D59—41no—
391C23×D59—41no—
392C23×D59C2411yescharacteristic
393C23×D59C2411yescharacteristic
394C23×D59C2411yescharacteristic
395C23×D59C2411yescharacteristic
396C23×D59C2411yescharacteristic
397C2×D4×C59—22no—
398C2×D4×C59—22no—
399C2×D4×C59—22no—
400C2×D4×C59—22no—
401C2×D4×C59—22no—
402C2×D4×C59—22no—
403C2×D4×C59—22no—
404C2×D4×C59—41no—
405C2×D4×C59—41no—
406C22×C4×C59—22no—
407C22×C4×C59—22no—
408C22×C4×C59—41no—
409C22×C4×C59—41no—
410C22×C4×C59—41no—
411C22×C4×C59—41no—
412C22×C4×C59—41no—
413C22×C4×C59—41no—
414C22×C4×C59—41no—
415C22×C4×C59—41no—
416C22×C4×C59—41no—
417C22×C4×C59—41no—
418C22×C4×C59—41no—
419C22×C4×C59—41no—
420C22×C4×C59#4114yes—
421C22×C4×C59C2411yescharacteristic
422C22×C4×C59C2411yescharacteristic
423C22×C4×C59C2411yescharacteristic
424C22×C4×C59C2411yescharacteristic
425C22×C4×C59C2411yescharacteristic
426C22×C4×C59C2411yescharacteristic
427C22×C4×C59C2411yescharacteristic
428C22×C4×C59C2411yescharacteristic
429C22×C4×C59C2411yescharacteristic
430C22×C4×C59C2411yescharacteristic
431C22×C4×C59C2411yescharacteristic
432C22×C4×C59C2411yescharacteristic
433C2×C22⋊D59—22no—
434C2×C22⋊D59—22no—
435C2×C22⋊D59—22no—
436C2×C22⋊D59—22no—
437C2×C22⋊D59—22no—
438C2×C22⋊D59—22no—
439C2×C22⋊D59—22no—
440C2×C22⋊D59—22no—
441C2×C22⋊D59—41no—
442C2×C22⋊D59—41no—
443C2×C22⋊D59—41no—
444C2×C22⋊D59—41no—
445C2×C22⋊D59—41no—
446C2×C22⋊D59—41no—
447C2×C22⋊D59—41no—
448C2×C22⋊D59—41no—
449C2×C22⋊D59—41no—
450C2×C22⋊D59—41no—
451C2×C22⋊D59—41no—
452C2×C22⋊D59—41no—
453C2×C22⋊D59—41no—
454C2×C22⋊D59—41no—
455C2×C22⋊D59—41no—
456C2×C22⋊D59—41no—
457C2×C22⋊D59—41no—
458C2×C22⋊D59—41no—
459C2×C22⋊D59—41no—
460C2×C22⋊D59—41no—
461C2×C22⋊D59—41no—
462C2×C22⋊D59—41no—
463C2×C22⋊D59—41no—
464C2×C22⋊D59—41no—
465C2×C22⋊D59—41no—
466C22×Dic59—22no—
467C22×Dic59—22no—
468C22×Dic59—22no—
469C22×Dic59—41no—
470C22×Dic59—41no—
471C22×Dic59—41no—
472C22×Dic59C2411yescharacteristic
473C22×Dic59C2411yescharacteristic
474C22×Dic59C2411yescharacteristic
475C22×Dic59C2411yescharacteristic
476C22×Dic59C2411yescharacteristic
477C22×Dic59C2411yescharacteristic
478C22×Dic59C2411yescharacteristic
479C22×Dic59C2411yescharacteristic
480C22×Dic59C2411yescharacteristic
481C22×Dic59C2411yescharacteristic
482C22×Dic59C2411yescharacteristic
483C2×D236—22no—
484C2×D236—22no—
485C2×D236—22no—
486C2×D236—22no—
487C2×D236—22no—
488C2×D236—22no—
489C2×D236—22no—
490C2×D236—22no—
491C2×D236—22no—
492C2×D236—22no—
493C2×D236—41no—
494C2×D236—41no—
495C2×D236—41no—
496C2×D236—41no—
497C2×D236—416no—
498C2×D236—41no—
499C2×D236—41no—
500C2×D236—41no—
501C2×D236—41no—
502C2×D236—41no—
503C2×D236—41no—
504C2×D236—41no—
505C2×D236—41no—
506C2×D236—41no—
507C2×D236—41no—
508C2×C4×D59—22no—
509C2×C4×D59—22no—
510C2×C4×D59—22no—
511C2×C4×D59—22no—
512C2×C4×D59—22no—
513C2×C4×D59—41no—
514C2×C4×D59—41no—
515C2×C4×D59—41no—
516C2×C4×D59—41no—
517C2×C4×D59—41no—
518C2×C4×D59—41no—
519C2×C4×D59—41no—
520C2×C4×D59—41no—
521C2×C4×D59—416no—
522C2×C4×D59—41no—
523C2×C4×D59—41no—
524C4⋊C4×C59—22no—
525C4⋊C4×C59—41no—
526C4⋊C4×C59—41no—
527C4⋊C4×C59—41no—
528C4⋊C4×C59—41no—
529C22⋊C4×C59—22no—
530C22⋊C4×C59—22no—
531C22⋊C4×C59—22no—
532C22⋊C4×C59—22no—
533C22⋊C4×C59—41no—
534C22⋊C4×C59—41no—
535C22⋊C4×C59—41no—
536C22⋊C4×C59—41no—
537C22⋊C4×C59—41no—
538C22⋊C4×C59—41no—
539C42×C59—41no—
540C42×C59—41no—
541C22⋊Dic59—22no—
542C22⋊Dic59—22no—
543C22⋊Dic59—22no—
544C22⋊Dic59—22no—
545C22⋊Dic59—41no—
546C22⋊Dic59—41no—
547C22⋊Dic59—41no—
548C22⋊Dic59—41no—
549C22⋊Dic59—41no—
550(C2×D59)⋊C4—22no—
551(C2×D59)⋊C4—22no—
552(C2×D59)⋊C4—22no—
553(C2×D59)⋊C4—22no—
554(C2×D59)⋊C4—22no—
555(C2×D59)⋊C4—22no—
556(C2×D59)⋊C4—22no—
557(C2×D59)⋊C4—41no—
558(C2×D59)⋊C4—41no—
559(C2×D59)⋊C4—41no—
560(C2×D59)⋊C4—41no—
561(C2×D59)⋊C4—41no—
562(C2×D59)⋊C4—41no—
563(C2×D59)⋊C4—41no—
564(C2×D59)⋊C4—41no—
565(C2×D59)⋊C4—41no—
566(C2×D59)⋊C4—41no—
567(C2×D59)⋊C4—41no—
568(C2×D59)⋊C4—41no—
569(C2×D59)⋊C4—41no—
570(C2×D59)⋊C4—41no—
571(C2×D59)⋊C4—41no—
572(C2×D59)⋊C4—41no—
573(C2×D59)⋊C4—41no—
574(C2×D59)⋊C4—41no—
575(C2×D59)⋊C4—41no—
576(C2×D59)⋊C4—41no—
577(C2×D59)⋊C4—41no—
578(C2×D59)⋊C4—41no—
579(C2×D59)⋊C4—41no—
580(C2×D59)⋊C4—41no—
581(C2×D59)⋊C4—41no—
582(C2×D59)⋊C4—41no—
583(C2×D59)⋊C4—41no—
584(C2×D59)⋊C4—41no—
585(C2×D59)⋊C4—41no—
586(C2×D59)⋊C4—41no—
587(C2×D59)⋊C4—41no—
588(C2×D59)⋊C4—41no—
589C4⋊Dic59—22no—
590C4⋊Dic59—41no—
591C4⋊Dic59—41no—
592C4⋊Dic59—41no—
593Dic59⋊C4—22no—
594Dic59⋊C4—22no—
595Dic59⋊C4—41no—
596Dic59⋊C4—41no—
597Dic59⋊C4—41no—
598Dic59⋊C4—41no—
599Dic59⋊C4—41no—
600Dic59⋊C4—41no—
601Dic59⋊C4—41no—
602Dic59⋊C4—41no—
603Dic59⋊C4—41no—
604C4×Dic59—22no—
605C4×Dic59—41no—
606C4×Dic59—41no—
607C23×C59—21no—
608C23×C59—21no—
609C23×C59—21no—
610C23×C59—21no—
611C23×C59—21no—
612C23×C59—21no—
613C23×C59—21no—
614C23×C59—21no—
615C23×C59—21no—
616C23×C59—21no—
617C23×C59—21no—
618C23×C59—21no—
619C23×C59—21no—
620C23×C59—21no—
621C23×C59—21no—
622C23×C59—21no—
623C23×C59—21no—
624C23×C59—21no—
625C23×C59C2×#4112yes—
626C23×C59H(5,𝔽2)12yes—
627C23×C59H(5,𝔽2)12yes—
628C23×C59C2511yescharacteristic
629C22×D59—28no—
630C22×D59—21no—
631C22×D59—21no—
632C22×D59—21no—
633C22×D59—21no—
634C22×D59—21no—
635C22×D59—21no—
636C22×D59—21no—
637C22×D59—21no—
638C22×D59—21no—
639C22×D59—21no—
640C22×D59—21no—
641C22×D59—21no—
642C22×D59—21no—
643C22×D59—21no—
644C22×D59—21no—
645C22×D59—21no—
646C22×D59—21no—
647C22×D59—21no—
648C22×D59—21no—
649C22×D59—21no—
650C22×D59—21no—
651C22×D59—21no—
652C22×D59—21no—
653C22×D59—21no—
654C22×D59—21no—
655C22×D59—21no—
656C22×D59—21no—
657C22×D59—21no—
658C22×D59—21no—
659C22×D59—21no—
660C22×D59—21no—
661C22×D59—21no—
662C22×D59—21no—
663C22×D59—44no—
664C22×D59—44no—
665C22×D59—44no—
666C22×D59—44no—
667C22×D59—44no—
668C22×D59—44no—
669C22×D59—44no—
670C22×D59—44no—
671C22×D59—44no—
672C22×D59—82no—
673C22×D59—82no—
674C22×D59—82no—
675C22×D59—82no—
676C22×D59H(5,𝔽2)12yes—
677C22×D59H(5,𝔽2)12yes—
678D4×C59—44no—
679D4×C59—44no—
680D4×C59—82no—
681C2×C4×C59—21no—
682C2×C4×C59—21no—
683C2×C4×C59—21no—
684C2×C4×C59—21no—
685C2×C4×C59—21no—
686C2×C4×C59—21no—
687C2×C4×C59—21no—
688C2×C4×C59—21no—
689C2×C4×C59—21no—
690C2×C4×C59—21no—
691C2×C4×C59—21no—
692C2×C4×C59—21no—
693C2×C4×C59—21no—
694C2×C4×C59—21no—
695C2×C4×C59—21no—
696C2×C4×C59—21no—
697C2×C4×C59—21no—
698C2×C4×C59—21no—
699C2×C4×C59—21no—
700C2×C4×C59—21no—
701C2×C4×C59—21no—
702C2×C4×C59—21no—
703C2×C4×C59—21no—
704C2×C4×C59—21no—
705C2×C4×C59—21no—
706C2×C4×C59—21no—
707C2×C4×C59—21no—
708C2×C4×C59—21no—
709C2×C4×C59—21no—
710C2×C4×C59—21no—
711C2×C4×C59—21no—
712C2×C4×C59—21no—
713C2×C4×C59—21no—
714C2×C4×C59—21no—
715C2×C4×C59—44no—
716C2×C4×C59—44no—
717C2×C4×C59—82no—
718C2×C4×C59—82no—
719C2×C4×C59—82no—
720C2×C4×C59C2×#4112yes—
721C2×C4×C59C2×#4112yes—
722C22⋊D59—44no—
723C22⋊D59—82no—
724C22⋊D59—82no—
725C22⋊D59—82no—
726C22⋊D59—82no—
727C22⋊D59—82no—
728C22⋊D59—82no—
729C22⋊D59—82no—
730C22⋊D59—82no—
731C22⋊D59—82no—
732C22⋊D59—82no—
733C2×Dic59—21no—
734C2×Dic59—21no—
735C2×Dic59—21no—
736C2×Dic59—21no—
737C2×Dic59—21no—
738C2×Dic59—21no—
739C2×Dic59—21no—
740C2×Dic59—21no—
741C2×Dic59—21no—
742C2×Dic59—21no—
743C2×Dic59—21no—
744C2×Dic59—21no—
745C2×Dic59—21no—
746C2×Dic59—21no—
747C2×Dic59—21no—
748C2×Dic59—21no—
749C2×Dic59—21no—
750C2×Dic59—21no—
751C2×Dic59—21no—
752C2×Dic59—21no—
753C2×Dic59—21no—
754C2×Dic59—21no—
755C2×Dic59—21no—
756C2×Dic59—21no—
757C2×Dic59—21no—
758C2×Dic59—21no—
759C2×Dic59—21no—
760C2×Dic59—21no—
761C2×Dic59—21no—
762C2×Dic59—21no—
763C2×Dic59—21no—
764C2×Dic59—21no—
765C2×Dic59—44no—
766C2×Dic59—82no—
767C2×Dic59H(5,𝔽2)12yes—
768D236—44no—
769D236—44no—
770D236—44no—
771D236—44no—
772D236—82no—
773D236—82no—
774D236—82no—
775D236—82no—
776C4×D59—44no—
777C4×D59—44no—
778C4×D59—44no—
779C4×D59—44no—
780C4×D59—82no—
781#36794—591nomaximal, Sylow
782C22×C59—22no—
783C22×C59—22no—
784C22×C59—22no—
785C22×C59—22no—
786C22×C59—22no—
787C22×C59—22no—
788C22×C59—41no—
789C22×C59—41no—
790C22×C59—41no—
791C22×C59—41no—
792C22×C59—41no—
793C22×C59—41no—
794C22×C59—41no—
795C22×C59—41no—
796C22×C59—41no—
797C22×C59—41no—
798C22×C59—41no—
799C22×C59—41no—
800C22×C59—41no—
801C22×C59—41no—
802C22×C59#54014yes—
803C22×C59C22×#4111yescharacteristic
804C22×C59C2×H(5,𝔽2)11yescharacteristic
805C22×C59C2×H(5,𝔽2)11yescharacteristic
806C22×C59C2×H(5,𝔽2)11yescharacteristic
807C22×C59C2×H(5,𝔽2)11yescharacteristic
808C22×C59C2×H(5,𝔽2)11yescharacteristic
809C22×C59#58511yescharacteristic
810C2×D59—22no—
811C2×D59—22no—
812C2×D59—22no—
813C2×D59—22no—
814C2×D59—22no—
815C2×D59—22no—
816C2×D59—416no—
817C2×D59—41no—
818C2×D59—41no—
819C2×D59—41no—
820C2×D59—41no—
821C2×D59—41no—
822C2×D59—41no—
823C2×D59—41no—
824C2×D59—41no—
825C2×D59—41no—
826C2×D59—41no—
827C2×D59—41no—
828C2×D59—41no—
829C2×D59—41no—
830C2×D59—41no—
831C2×D59—41no—
832C2×D59—41no—
833C2×D59—41no—
834C2×D59—41no—
835C2×D59—41no—
836C2×D59—41no—
837C2×D59—41no—
838C2×D59—41no—
839C2×D59—41no—
840C2×D59—41no—
841C2×D59—41no—
842C2×D59—41no—
843C2×D59—41no—
844C2×D59—41no—
845C2×D59—41no—
846C2×D59—88no—
847C4×C59—22no—
848C4×C59—22no—
849C4×C59—41no—
850C4×C59—41no—
851C4×C59—41no—
852C4×C59—41no—
853C4×C59—41no—
854C4×C59—41no—
855C4×C59—41no—
856C4×C59—41no—
857C4×C59—41no—
858C4×C59—41no—
859Dic59—22no—
860Dic59—41no—
861Dic59—41no—
862Dic59—41no—
863Dic59—41no—
864Dic59—41no—
865Dic59—41no—
866Dic59—41no—
867Dic59—41no—
868Dic59—41no—
869Dic59—41no—
870#2849—591no—
871#2847—591no—
872#2797—591no—
873#2786—591no—
874#2756—591no—
875#2753—591no—
876#2752—591no—
877#2749—591no—
878#2740—591no—
879#2709—591no—
880#2709—591no—
881#2706—591no—
882#2703—591no—
883#2699—591no—
884#2688—591no—
885#2673—591no—
886#2673—591no—
887#2671—591no—
888#2622—591no—
889#2617—591no—
890#2569—591no—
891#2543—591no—
892#2433—591no—
893#2424—591no—
894#2424—591no—
895#2418—591no—
896#2418—591no—
897#2408—591no—
898#2325D5911yescharacteristic, complemented
899#2318—591no—
900C2×#386—591no—
901C2×C59—24no—
902C2×C59—81no—
903C2×C59—81no—
904C2×C59C2×#54011yescharacteristic
905C2×C59#349011yescharacteristic
906C2×C59#350611yescharacteristic
907C2×C59#353211yescharacteristic
908C2×C59#353411yescharacteristic
909C2×C59#353411yescharacteristic
910C2×C59#353711yescharacteristic
911D59—42no—
912D59—42no—
913D59—81no—
914D59—81no—
915D59—81no—
916C23×D4—591no—
917C24×C4—591no—
918C2×#127—591no—
919C2×#127—591no—
920C2×#123—591no—
921C2×#123—591no—
922C2×#123—591no—
923C2×#123—591no—
924C2×#121—591no—
925C2×#121—591no—
926C2×#121—591no—
927C2×#121—591no—
928C2×#121—591no—
929C2×#121—591no—
930C2×#121—591no—
931C2×#121—591no—
932C2×#121C2×D5911yescharacteristic
933C2×#120—591no—
934C2×#120—591no—
935C2×#120—591no—
936C2×#120—591no—
937C2×#120—591no—
938C2×#120—591no—
939C2×C4×D4—591no—
940C2×C4×D4C2×D5911yescharacteristic
941C2×C4×D4C2×D5911yescharacteristic
942C22×C22⋊C4—591no—
943C22×C22⋊C4—591no—
944C22×C22⋊C4—591no—
945#400—591no—
946#400—591no—
947#399—591no—
948#399—591no—
949#398—591no—
950#398—591no—
951#398—591no—
952#397—591no—
953#397—591no—
954#397—591no—
955#397—591no—
956#397—591no—
957#397—591no—
958#397—591no—
959#397—591no—
960#397—591no—
961#396—591no—
962#396—591no—
963#394—591no—
964#394—591no—
965#394—591no—
966#394—591no—
967#394—591no—
968#394—591no—
969#394—591no—
970#394—591no—
971#394—591no—
972#394—591no—
973#394—591no—
974#394—591no—
975#394—591no—
976#394—591no—
977#394—591no—
978#394—591no—
979#394—591no—
980#394—591no—
981#394—591no—
982#392—591no—
983#392—591no—
984#392—591no—
985#392—591no—
986#392—591no—
987#392—591no—
988#392—591no—
989#392—591no—
990#392—591no—
991#392—591no—
992#392—591no—
993#390—591no—
994#390—591no—
995#390—591no—
996#390—591no—
997#390—591no—
998#390—591no—
999#388—591no—
1000#388—591no—
1001#388—591no—
1002#388—591no—
1003#388—591no—
1004#388—591no—
1005#388—591no—
1006#388—591no—
1007#388—591no—
1008#388—591no—
1009#388C2×D5911yescharacteristic, complemented
1010#388C2×D5911yescharacteristic, complemented
1011#387—591no—
1012#387—591no—
1013#387—591no—
1014#387—591no—
1015#387—591no—
1016#387—591no—
1017#387C2×D5911yescharacteristic, complemented
1018#387C2×D5911yescharacteristic, complemented
1019#386—591no—
1020#386—591no—
1021#386—591no—
1022#386—591no—
1023#386—591no—
1024#386—591no—
1025#386—591no—
1026#386—591no—
1027#386—591no—
1028#386—591no—
1029#386—591no—
1030#386—591no—
1031#386—591no—
1032#386—591no—
1033#386—591no—
1034#386—591no—
1035#386—591no—
1036#386—591no—
1037#386—591no—
1038#386—591no—
1039#386—591no—
1040#386—591no—
1041#386—591no—
1042#386—591no—
1043#386C2×D5911yescharacteristic
1044#386C2×D5911yescharacteristic
1045#386C2×D5911yescharacteristic, complemented
1046#386C2×D5911yescharacteristic, complemented
1047#385—591no—
1048#385—591no—
1049#385—591no—
1050#385—591no—
1051#385—591no—
1052#385—591no—
1053#385C2×D5911yescharacteristic, complemented
1054#385C2×D5911yescharacteristic, complemented
1055#383—591no—
1056#382—591no—
1057#381—591no—
1058#381—591no—
1059#381—591no—
1060#380—591no—
1061#380—591no—
1062#380—591no—
1063#380—591no—
1064#380—591no—
1065#380C2×D5911yescharacteristic
1066#379—591no—
1067#379—591no—
1068C4×C22⋊C4—591no—
1069C2×#95—591no—
1070C2×#95C2×D5911yescharacteristic
1071C59#3679411yescharacteristic, complemented, Sylow
1072C25—591no—
1073C25—591no—
1074C22×D4—591no—
1075C22×D4—591no—
1076C22×D4—591no—
1077C22×D4—591no—
1078C22×D4—591no—
1079C22×D4—591no—
1080C22×D4—591no—
1081C22×D4—591no—
1082C22×D4—591no—
1083C22×D4—591no—
1084C22×D4—591no—
1085C22×D4—591no—
1086C22×D4—591no—
1087C22×D4—591no—
1088C22×D4—591no—
1089C22×D4—591no—
1090C22×D4—591no—
1091C22×D4—591no—
1092C22×D4—591no—
1093C22×D4—1184no—
1094C22×D4—2362no—
1095C22×D4—2362no—
1096C22×D4C22×D5911yescharacteristic
1097C22×D4C22×D5911yescharacteristic
1098C22×D4C22×D5911yescharacteristic
1099C23×C4—591no—
1100C23×C4—591no—
1101C23×C4—591no—
1102C23×C4—591no—
1103C23×C4—591no—
1104C23×C4—591no—
1105C23×C4—591no—
1106C23×C4—2362no—
1107C23×C4—2362no—
1108C23×C4—2362no—
1109C23×C4C22×D5911yescharacteristic
1110C23×C4C22×D5911yescharacteristic
1111C23×C4C22×D5911yescharacteristic
1112C23×C4C22×D5911yescharacteristic
1113C23×C4C22×D5911yescharacteristic
1114#127—2362no—
1115#127—2362no—
1116#123—2362no—
1117#123—2362no—
1118#123—2362no—
1119#123—2362no—
1120#121—24no—
1121#121—2362no—
1122#121—2362no—
1123#121—2362no—
1124#121—2362no—
1125#121—2362no—
1126#121—2362no—
1127#121—2362no—
1128#121—2362no—
1129#120—2362no—
1130#120—2362no—
1131#120—2362no—
1132#120—2362no—
1133#120—2362no—
1134#120—2362no—
1135C4×D4—42no—
1136C4×D4—42no—
1137C4×D4—1184no—
1138C2×C4⋊C4—591no—
1139C2×C4⋊C4—591no—
1140C2×C4⋊C4—591no—
1141C2×C4⋊C4—591no—
1142C2×C4⋊C4—591no—
1143C2×C4⋊C4—591no—
1144C2×C4⋊C4—591no—
1145C2×C4⋊C4—591no—
1146C2×C4⋊C4—591no—
1147C2×C4⋊C4—591no—
1148C2×C4⋊C4—591no—
1149C2×C4⋊C4—591no—
1150C2×C4⋊C4—591no—
1151C2×C4⋊C4—591no—
1152C2×C4⋊C4—591no—
1153C2×C4⋊C4C22×D5911yescharacteristic
1154C2×C4⋊C4C22×D5911yescharacteristic
1155C2×C4⋊C4C22×D5911yescharacteristic
1156C2×C4⋊C4C22×D5911yescharacteristic
1157C2×C4⋊C4C22×D5911yescharacteristic
1158C2×C22⋊C4—591no—
1159C2×C22⋊C4—591no—
1160C2×C22⋊C4—591no—
1161C2×C22⋊C4—591no—
1162C2×C22⋊C4—591no—
1163C2×C22⋊C4—591no—
1164C2×C22⋊C4—591no—
1165C2×C22⋊C4—591no—
1166C2×C22⋊C4—591no—
1167C2×C22⋊C4—591no—
1168C2×C22⋊C4—591no—
1169C2×C22⋊C4—591no—
1170C2×C22⋊C4—591no—
1171C2×C22⋊C4—591no—
1172C2×C22⋊C4—591no—
1173C2×C22⋊C4—591no—
1174C2×C22⋊C4—591no—
1175C2×C22⋊C4—591no—
1176C2×C22⋊C4—591no—
1177C2×C22⋊C4—591no—
1178C2×C22⋊C4—591no—
1179C2×C22⋊C4—591no—
1180C2×C22⋊C4—591no—
1181C2×C22⋊C4—591no—
1182C2×C22⋊C4—591no—
1183C2×C22⋊C4—591no—
1184C2×C22⋊C4—591no—
1185C2×C22⋊C4—591no—
1186C2×C22⋊C4—591no—
1187C2×C22⋊C4—591no—
1188C2×C22⋊C4—591no—
1189C2×C22⋊C4—591no—
1190C2×C22⋊C4—591no—
1191C2×C22⋊C4—591no—
1192C2×C22⋊C4—591no—
1193C2×C22⋊C4—591no—
1194C2×C22⋊C4—591no—
1195C2×C22⋊C4—591no—
1196C2×C22⋊C4—591no—
1197C2×C22⋊C4—591no—
1198C2×C22⋊C4—591no—
1199C2×C22⋊C4—591no—
1200C2×C22⋊C4—591no—
1201C2×C22⋊C4—591no—
1202C2×C22⋊C4—591no—
1203C2×C22⋊C4—591no—
1204C2×C22⋊C4—591no—
1205C2×C22⋊C4—591no—
1206C2×C22⋊C4—2362no—
1207C2×C22⋊C4—2362no—
1208C2×C22⋊C4—2362no—
1209C2×C22⋊C4C22×D5911yescharacteristic
1210C2×C22⋊C4C22×D5911yescharacteristic
1211C2×C22⋊C4C22×D5911yescharacteristic
1212C2×C22⋊C4C22×D5911yescharacteristic
1213C2×C22⋊C4C22×D5911yescharacteristic
1214C2×C22⋊C4C22×D5911yescharacteristic
1215C2×C22⋊C4C22×D5911yescharacteristic
1216C2×C22⋊C4C22×D5911yescharacteristic
1217C2×C22⋊C4C22×D5911yescharacteristic
1218C2×C22⋊C4C22×D5911yescharacteristic
1219C2×C42—591no—
1220C2×C42—591no—
1221C2×C42—591no—
1222C2×C42C22×D5911yescharacteristic
1223C2×C42C22×D5911yescharacteristic
1224#95—591no—
1225#95—591no—
1226#95—591no—
1227#95—591no—
1228#95—591no—
1229#95—591no—
1230#95—591no—
1231#95—591no—
1232#95—591no—
1233#95—591no—
1234#95—591no—
1235#95—591no—
1236#95—591no—
1237#95—591no—
1238#95—591no—
1239#95—591no—
1240#95—591no—
1241#95—591no—
1242#95—591no—
1243#95—591no—
1244#95—591no—
1245#95—591no—
1246#95—591no—
1247#95—591no—
1248#95—591no—
1249#95—591no—
1250#95C22×D5911yescharacteristic
1251#95C22×D5911yescharacteristic
1252#95C22×D5911yescharacteristic
1253#95C22×D5911yescharacteristic
1254#95C22×D5911yescharacteristic
1255#95C22×D5911yescharacteristic
1256#95C22×D5911yescharacteristic
1257#95C22×D5911yescharacteristic
1258#95C22×D5911yescharacteristic
1259#95C22×D5911yescharacteristic
1260C24—591no—
1261C24—591no—
1262C24—591no—
1263C24—591no—
1264C24—591no—
1265C24—1182no—
1266C24—1182no—
1267C24—1182no—
1268C24—1182no—
1269C24—1182no—
1270C24—1182no—
1271C24—1182no—
1272C24—1182no—
1273C24—2361no—
1274C24—2361no—
1275C24—2361no—
1276C24—2361no—
1277C24—2361no—
1278C24—2361no—
1279C24C23×D5911yescharacteristic
1280C24C23×D5911yescharacteristic
1281C24C23×D5911yescharacteristic
1282C2×D4—22no—
1283C2×D4—22no—
1284C2×D4—22no—
1285C2×D4—22no—
1286C2×D4—22no—
1287C2×D4—22no—
1288C2×D4—22no—
1289C2×D4—41no—
1290C2×D4—41no—
1291C2×D4—1182no—
1292C2×D4—1182no—
1293C2×D4—1182no—
1294C2×D4—1182no—
1295C2×D4—1182no—
1296C2×D4—1182no—
1297C2×D4—1182no—
1298C2×D4—1182no—
1299C2×D4—1182no—
1300C2×D4—1182no—
1301C2×D4—1182no—
1302C2×D4—1182no—
1303C2×D4—1182no—
1304C2×D4—1182no—
1305C2×D4—1182no—
1306C2×D4—1182no—
1307C2×D4—1182no—
1308C2×D4—1182no—
1309C2×D4—2361no—
1310C2×D4—2361no—
1311C2×D4—2361no—
1312C2×D4—2361no—
1313C2×D4—2361no—
1314C2×D4—2361no—
1315C2×D4—2361no—
1316C2×D4—2361no—
1317C2×D4—2361no—
1318C2×D4—2361no—
1319C2×D4—2361no—
1320C2×D4—2361no—
1321C2×D4—2361no—
1322C2×D4—2361no—
1323C2×D4—23616no—
1324C2×D4—2361no—
1325C2×D4—2361no—
1326C2×D4—2361no—
1327C2×D4—2361no—
1328C2×D4—2361no—
1329C2×D4—2361no—
1330C2×D4—2361no—
1331C2×D4—2361no—
1332C2×D4—2361no—
1333C2×D4—2361no—
1334C2×D4—2361no—
1335C2×D4—2361no—
1336C2×D4—2361no—
1337C2×D4—2361no—
1338C2×D4—2361no—
1339C2×D4—2361no—
1340C2×D4—2361no—
1341C2×D4—2361no—
1342C2×D4—2361no—
1343C2×D4—2361no—
1344C2×D4—2361no—
1345C2×D4—2361no—
1346C2×D4—2361no—
1347C2×D4—2361no—
1348C2×D4—2361no—
1349C22×C4—22no—
1350C22×C4—22no—
1351C22×C4—41no—
1352C22×C4—41no—
1353C22×C4—41no—
1354C22×C4—41no—
1355C22×C4—41no—
1356C22×C4—41no—
1357C22×C4—41no—
1358C22×C4—41no—
1359C22×C4—41no—
1360C22×C4—41no—
1361C22×C4—41no—
1362C22×C4—41no—
1363C22×C4—591no—
1364C22×C4—591no—
1365C22×C4—591no—
1366C22×C4—591no—
1367C22×C4—591no—
1368C22×C4—591no—
1369C22×C4—591no—
1370C22×C4—591no—
1371C22×C4—591no—
1372C22×C4—591no—
1373C22×C4—591no—
1374C22×C4—1182no—
1375C22×C4—1182no—
1376C22×C4—1182no—
1377C22×C4—1182no—
1378C22×C4—1182no—
1379C22×C4—1182no—
1380C22×C4—1182no—
1381C22×C4—1182no—
1382C22×C4—2361no—
1383C22×C4—2361no—
1384C22×C4—2361no—
1385C22×C4—2361no—
1386C22×C4—2361no—
1387C22×C4—2361no—
1388C22×C4—2361no—
1389C22×C4—2361no—
1390C22×C4—2361no—
1391C22×C4—2361no—
1392C22×C4—23616no—
1393C22×C4—2361no—
1394C22×C4—2361no—
1395C22×C4—2361no—
1396C22×C4#1174568514yes—
1397C22×C4C23×D5911yescharacteristic
1398C22×C4C23×D5911yescharacteristic
1399C22×C4C23×D5911yescharacteristic
1400C22×C4C23×D5911yescharacteristic
1401C22×C4C23×D5911yescharacteristic
1402C22×C4C23×D5911yescharacteristic
1403C22×C4C23×D5911yescharacteristic
1404C22×C4C23×D5911yescharacteristic
1405C22×C4C23×D5911yescharacteristic
1406C22×C4C23×D5911yescharacteristic
1407C22×C4C23×D5911yescharacteristic
1408C22×C4C23×D5911yescharacteristic
1409C4⋊C4—22no—
1410C4⋊C4—41no—
1411C4⋊C4—41no—
1412C4⋊C4—41no—
1413C4⋊C4—41no—
1414C4⋊C4—1182no—
1415C4⋊C4—1182no—
1416C4⋊C4—1182no—
1417C4⋊C4—2361no—
1418C4⋊C4—2361no—
1419C4⋊C4—2361no—
1420C4⋊C4—2361no—
1421C4⋊C4—2361no—
1422C4⋊C4—2361no—
1423C4⋊C4—2361no—
1424C4⋊C4—2361no—
1425C4⋊C4—2361no—
1426C4⋊C4—2361no—
1427C4⋊C4—2361no—
1428C4⋊C4—2361no—
1429C22⋊C4—22no—
1430C22⋊C4—22no—
1431C22⋊C4—22no—
1432C22⋊C4—22no—
1433C22⋊C4—41no—
1434C22⋊C4—41no—
1435C22⋊C4—41no—
1436C22⋊C4—41no—
1437C22⋊C4—41no—
1438C22⋊C4—41no—
1439C22⋊C4—1182no—
1440C22⋊C4—1182no—
1441C22⋊C4—1182no—
1442C22⋊C4—1182no—
1443C22⋊C4—1182no—
1444C22⋊C4—1182no—
1445C22⋊C4—1182no—
1446C22⋊C4—1182no—
1447C22⋊C4—1182no—
1448C22⋊C4—1182no—
1449C22⋊C4—1182no—
1450C22⋊C4—2361no—
1451C22⋊C4—2361no—
1452C22⋊C4—2361no—
1453C22⋊C4—2361no—
1454C22⋊C4—2361no—
1455C22⋊C4—2361no—
1456C22⋊C4—2361no—
1457C22⋊C4—2361no—
1458C22⋊C4—2361no—
1459C22⋊C4—2361no—
1460C22⋊C4—2361no—
1461C22⋊C4—2361no—
1462C22⋊C4—2361no—
1463C22⋊C4—2361no—
1464C22⋊C4—2361no—
1465C22⋊C4—2361no—
1466C22⋊C4—2361no—
1467C22⋊C4—2361no—
1468C22⋊C4—2361no—
1469C22⋊C4—2361no—
1470C22⋊C4—2361no—
1471C22⋊C4—2361no—
1472C22⋊C4—2361no—
1473C22⋊C4—2361no—
1474C22⋊C4—2361no—
1475C22⋊C4—2361no—
1476C22⋊C4—2361no—
1477C22⋊C4—2361no—
1478C22⋊C4—2361no—
1479C22⋊C4—2361no—
1480C22⋊C4—2361no—
1481C22⋊C4—2361no—
1482C22⋊C4—2361no—
1483C22⋊C4—2361no—
1484C22⋊C4—2361no—
1485C22⋊C4—2361no—
1486C22⋊C4—2361no—
1487C42—41no—
1488C42—41no—
1489C42—1182no—
1490C42—2361no—
1491C42—2361no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—592no—
1511C23—592no—
1512C23—1188no—
1513C23—1181no—
1514C23—1181no—
1515C23—1181no—
1516C23—1181no—
1517C23—1181no—
1518C23—1181no—
1519C23—1181no—
1520C23—1181no—
1521C23—1181no—
1522C23—1181no—
1523C23—1181no—
1524C23—1181no—
1525C23—1181no—
1526C23—1181no—
1527C23—1181no—
1528C23—1181no—
1529C23—1181no—
1530C23—1181no—
1531C23—1181no—
1532C23—1181no—
1533C23—1181no—
1534C23—1181no—
1535C23—1181no—
1536C23—1181no—
1537C23—1181no—
1538C23—1181no—
1539C23—1181no—
1540C23—1181no—
1541C23—1181no—
1542C23—1181no—
1543C23—1181no—
1544C23—1181no—
1545C23—1181no—
1546C23—4722no—
1547C23—4722no—
1548C23—4722no—
1549C23—4722no—
1550C23—2364no—
1551C23—2364no—
1552C23—2364no—
1553C23—2364no—
1554C23—2364no—
1555C23—2364no—
1556C23—2364no—
1557C23—2364no—
1558C23—2364no—
1559C23C2×#1174568512yes—
1560C23#1427377212yes—
1561C23#1427377312yes—
1562C23C24×D5911yescharacteristic
1563D4—44no—
1564D4—44no—
1565D4—82no—
1566D4—4722no—
1567D4—4722no—
1568D4—4722no—
1569D4—4722no—
1570D4—4722no—
1571D4—4722no—
1572D4—4722no—
1573D4—4722no—
1574D4—4722no—
1575D4—4722no—
1576D4—4722no—
1577D4—4722no—
1578D4—4722no—
1579D4—4722no—
1580D4—2364no—
1581D4—2364no—
1582D4—2364no—
1583D4—2364no—
1584D4—2364no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—44no—
1620C2×C4—44no—
1621C2×C4—82no—
1622C2×C4—82no—
1623C2×C4—82no—
1624C2×C4—592no—
1625C2×C4—1181no—
1626C2×C4—1181no—
1627C2×C4—1181no—
1628C2×C4—1181no—
1629C2×C4—1181no—
1630C2×C4—1181no—
1631C2×C4—1181no—
1632C2×C4—1181no—
1633C2×C4—1181no—
1634C2×C4—1181no—
1635C2×C4—1181no—
1636C2×C4—1181no—
1637C2×C4—1181no—
1638C2×C4—1181no—
1639C2×C4—1181no—
1640C2×C4—1181no—
1641C2×C4—1181no—
1642C2×C4—1181no—
1643C2×C4—1181no—
1644C2×C4—1181no—
1645C2×C4—1181no—
1646C2×C4—1181no—
1647C2×C4—1181no—
1648C2×C4—1181no—
1649C2×C4—1181no—
1650C2×C4—1181no—
1651C2×C4—1181no—
1652C2×C4—1181no—
1653C2×C4—1181no—
1654C2×C4—1181no—
1655C2×C4—1181no—
1656C2×C4—1181no—
1657C2×C4—4722no—
1658C2×C4—4722no—
1659C2×C4—2364no—
1660C2×C4—2364no—
1661C2×C4—2364no—
1662C2×C4—2364no—
1663C2×C4—2364no—
1664C2×C4C2×#1174568512yes—
1665C2×C4C2×#1174568512yes—
1666C22—22no—
1667C22—22no—
1668C22—22no—
1669C22—22no—
1670C22—22no—
1671C22—22no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—1182no—
1687C22—1182no—
1688C22—1182no—
1689C22—1182no—
1690C22—1182no—
1691C22—1182no—
1692C22—4728no—
1693C22—23616no—
1694C22—2361no—
1695C22—2361no—
1696C22—2361no—
1697C22—2361no—
1698C22—2361no—
1699C22—2361no—
1700C22—2361no—
1701C22—2361no—
1702C22—2361no—
1703C22—2361no—
1704C22—2361no—
1705C22—2361no—
1706C22—2361no—
1707C22—2361no—
1708C22—2361no—
1709C22—2361no—
1710C22—2361no—
1711C22—2361no—
1712C22—2361no—
1713C22—2361no—
1714C22—2361no—
1715C22—2361no—
1716C22—2361no—
1717C22—2361no—
1718C22—2361no—
1719C22—2361no—
1720C22—2361no—
1721C22—2361no—
1722C22—2361no—
1723C22#1683800314yes—
1724C22C22×#1174568511yescharacteristic
1725C22H(5,𝔽2)×D5911yescharacteristic
1726C22H(5,𝔽2)×D5911yescharacteristic
1727C22H(5,𝔽2)×D5911yescharacteristic
1728C22C2×#1427377211yescharacteristic
1729C22C2×#1427377311yescharacteristic
1730C22#1683823911yescharacteristic
1731C4—22no—
1732C4—22no—
1733C4—41no—
1734C4—41no—
1735C4—41no—
1736C4—41no—
1737C4—41no—
1738C4—41no—
1739C4—41no—
1740C4—41no—
1741C4—41no—
1742C4—41no—
1743C4—1182no—
1744C4—2361no—
1745C4—2361no—
1746C4—2361no—
1747C4—2361no—
1748C4—2361no—
1749C4—2361no—
1750C4—2361no—
1751C4—2361no—
1752C4—2361no—
1753C4—2361no—
1754C2—24no—
1755C2—81no—
1756C2—81no—
1757C2—4721no—
1758C2—4721no—
1759C2—4721no—
1760C2—2362no—
1761C2—2362no—
1762C2C2×#1683800311yescharacteristic
1763C2#2143778111yescharacteristic
1764C2#2143794111yescharacteristic
1765C2#2143824711yescharacteristic
1766C2#2143827511yescharacteristic
1767C2#2143828411yescharacteristic
1768C2#2143833311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2325C2
hypercenter#2325D59
hypocenterC59#36794
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2325

Complements

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

NH ≅ G/Ntype
1. #21432387C2semidirect
2. #21432377C2semidirect
3. #21431948C2semidirect
4. #21431815C2semidirect
5. #21431416C2semidirect
6. #21431371C2semidirect
7. #21431359C2semidirect
8. #21431320C2semidirect
9. #21431197C2semidirect
10. #21430827C2semidirect
11. #21430824C2semidirect
12. #21430785C2semidirect
13. #21430734C2semidirect
14. #21430680C2semidirect
15. #21430535C2semidirect
16. #21430366C2semidirect
17. #21430359C2semidirect
18. #21430336C2semidirect
19. #21429873C2semidirect
20. #21429836C2semidirect
21. #21429321C2semidirect
22. #21429058C2semidirect
23. #21427734C2semidirect
24. #21427626C2semidirect
25. #21427626C2semidirect
26. #21427552C2semidirect
27. #21427552C2semidirect
28. #21427453C2semidirect
29. #21426730C2semidirect
30. C2×#16837280C2semidirect
31. C59×#2325C2semidirect
36. C2×#14273710C22semidirect
37. C2×#14273710C22semidirect
38. C2×#14273709C22semidirect
39. C2×#14273709C22semidirect
42. C2×#14273701C22semidirect
43. C2×#14273701C22semidirect
44. C2×#14273700C22semidirect
45. C2×#14273700C22semidirect
58. #16837341C22semidirect
59. #16837341C22semidirect
60. #16837337C22semidirect
61. #16837337C22semidirect
62. #16837335C22semidirect
63. #16837335C22semidirect
64. #16837333C22semidirect
65. #16837331C22semidirect
66. #16837331C22semidirect
67. #16837331C22semidirect
68. #16837331C22semidirect
69. #16837329C22semidirect
70. #16837329C22semidirect
71. #16837328C22semidirect
72. #16837328C22semidirect
73. #16837328C22semidirect
74. #16837324C22semidirect
75. #16837324C22semidirect
78. #16837320C22semidirect
79. #16837320C22semidirect
80. #16837319C22semidirect
81. #16837319C22semidirect
82. #16837318C22semidirect
83. #16837318C22semidirect
84. #16837318C22semidirect
85. #16837318C22semidirect
86. #16837317C22semidirect
87. #16837317C22semidirect
88. #16837317C22semidirect
89. #16837317C22semidirect
90. #16837317C22semidirect
91. #16837317C22semidirect
92. #16837317C22semidirect
93. #16837317C22semidirect
94. #16837316C22semidirect
101. #16837311C22semidirect
102. #16837311C22semidirect
103. #16837311C22semidirect
104. #16837311C22semidirect
105. #16837310C22semidirect
106. #16837304C22semidirect
107. #16837304C22semidirect
112. #16837293C22semidirect
113. #16837293C22semidirect
114. #16837293C22semidirect
115. #16837293C22semidirect
116. #16837293C22semidirect
117. #16837293C22semidirect
118. #16837291C22semidirect
119. #16837291C22semidirect
120. #16837290C22semidirect
121. #16837290C22semidirect
122. #16837289C22semidirect
123. #16837289C22semidirect
124. #16837285C22semidirect
125. #16837285C22semidirect
126. #16837284C22semidirect
127. #16837284C22semidirect
132. #16837281C22semidirect
133. #16837281C22semidirect
134. #16837281C22semidirect
135. #16837281C22semidirect
144. #16837280C22semidirect
145. #16837280C22semidirect
146. #16837278C22semidirect
147. #16837278C22semidirect
148. #16837278C22semidirect
149. #16837278C22semidirect
150. #16837278C22semidirect
151. #16837278C22semidirect
154. #16837276C22semidirect
155. #16837276C22semidirect
158. #16837269C22semidirect
159. #16837266C22semidirect
160. #16837264C22semidirect
161. #16837264C22semidirect
162. #16837264C22semidirect
163. #16837261C22semidirect
164. #16837261C22semidirect
165. #16837261C22semidirect
175. C59×#388C22semidirect
176. C59×#388C22semidirect
177. C59×#387C22semidirect
178. C59×#387C22semidirect
181. C59×#386C22semidirect
182. C59×#386C22semidirect
183. C59×#385C22semidirect
184. C59×#385C22semidirect
898. #2325D59semidirect
1009. #388C2×D59semidirect
1010. #388C2×D59semidirect
1017. #387C2×D59semidirect
1018. #387C2×D59semidirect
1045. #386C2×D59semidirect
1046. #386C2×D59semidirect
1053. #385C2×D59semidirect
1054. #385C2×D59semidirect
1071. C59#36794semidirect

Maximal subgroups

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

subgroupindex
#214323872
#214323772
#214319482
#214318152
#214314162
#214313712
#214313592
#214313202
#214311972
#214308272
#214308242
#214307852
#214307342
#214306802
#214305352
#214303662
#214303592
#214303362
#214298732
#214298362
#214293212
#214290582
#214277342
#214276262
#214275522
#214274532
#214267302
C2×#168372802
C59×#23252
#3679459