Finite Group Databasebeta

← #28761442

Subgroups — #28761442

Order 15104.

2214 conjugacy classes of subgroups.

The subgroup lattice has 1562 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21432414C211yesmaximal, characteristic, complemented
2#21432414C211yesmaximal, characteristic, complemented
3#21432414C211yesmaximal, characteristic, complemented
4#21432412C211yesmaximal, characteristic, complemented
5#21430054C211yesmaximal, characteristic, complemented
6#21430050C211yesmaximal, characteristic, complemented
7#21430050C211yesmaximal, characteristic, complemented
8#21430050C211yesmaximal, characteristic, complemented
9#21428663C211yesmaximal, characteristic, complemented
10#21428657C211yesmaximal, characteristic, complemented
11#21428653C211yesmaximal, characteristic, complemented
12#21428651C211yesmaximal, characteristic, complemented
13#21428485C211yesmaximal, characteristic, complemented
14#21428481C211yesmaximal, characteristic, complemented
15#21428477C211yesmaximal, characteristic, complemented
16#21428361C211yesmaximal, characteristic, complemented
17#21428360C211yesmaximal, characteristic, complemented
18#21428355C211yesmaximal, characteristic, complemented
19#21428350C211yesmaximal, characteristic, complemented
20#21428349C211yesmaximal, characteristic, complemented
21#21428347C211yesmaximal, characteristic, complemented
22#21428344C211yesmaximal, characteristic, complemented
23#21428342C211yesmaximal, characteristic, complemented
24#21426709C211yesmaximal, characteristic, complemented
25#21426707C211yesmaximal, characteristic, complemented
26#21426673C211yesmaximal, characteristic
27#21426673C211yesmaximal, characteristic
28C2×#16837280C211yesmaximal, characteristic
29#385×D59C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D59C211yesmaximal, characteristic, complemented
31C59×#2493C211yesmaximal, characteristic, complemented
32C23×D236C2211yescharacteristic
33C23×C4×D59C2211yescharacteristic
34C2×#14273722C2211yescharacteristic, complemented
35C2×#14273722C2211yescharacteristic, complemented
36C2×#14273722C2211yescharacteristic, complemented
37C2×#14273721C2211yescharacteristic, complemented
38C2×C4⋊C4×D59C2211yescharacteristic, complemented
39C2×C4⋊C4×D59C2211yescharacteristic, complemented
40C22×(C2×D59)⋊C4C2211yescharacteristic
41C22×(C2×D59)⋊C4C2211yescharacteristic
42C22×(C2×D59)⋊C4C2211yescharacteristic
43C2×C22⋊C4×D59C2211yescharacteristic
44C2×C22⋊C4×D59C2211yescharacteristic
45C2×C22⋊C4×D59C2211yescharacteristic
46C2×C22⋊C4×D59C2211yescharacteristic
47C2×C42×D59C2211yescharacteristic, complemented
48C2×C42×D59C2211yescharacteristic, complemented
49C59⋊#401C2211yescharacteristic, complemented
50C59⋊#401C2211yescharacteristic, complemented
51C59⋊#401C2211yescharacteristic, complemented
52#16837344C2211yescharacteristic, complemented
53#16837344C2211yescharacteristic, complemented
54#16837344C2211yescharacteristic, complemented
55#16837343C2211yescharacteristic, complemented
56#16837343C2211yescharacteristic, complemented
57#16837343C2211yescharacteristic, complemented
58#16837342C2211yescharacteristic, complemented
59#16837342C2211yescharacteristic, complemented
60#16837342C2211yescharacteristic, complemented
61#16837331C2211yescharacteristic, complemented
62#16837331C2211yescharacteristic, complemented
63#16837331C2211yescharacteristic, complemented
64#16837331C2211yescharacteristic, complemented
65#16837331C2211yescharacteristic, complemented
66#16837331C2211yescharacteristic, complemented
67#16837329C2211yescharacteristic, complemented
68#16837329C2211yescharacteristic, complemented
69#16837329C2211yescharacteristic, complemented
70#16837328C2211yescharacteristic, complemented
71#16837328C2211yescharacteristic, complemented
72#16837328C2211yescharacteristic, complemented
73#16837326C2211yescharacteristic, complemented
74#16837324C2211yescharacteristic, complemented
75#16837324C2211yescharacteristic, complemented
76#16837324C2211yescharacteristic, complemented
77#16837294C2211yescharacteristic, complemented
78#16837294C2211yescharacteristic, complemented
79#16837294C2211yescharacteristic, complemented
80#16837293C2211yescharacteristic, complemented
81#16837293C2211yescharacteristic, complemented
82#16837293C2211yescharacteristic, complemented
83#16837292C2211yescharacteristic, complemented
84#16837292C2211yescharacteristic, complemented
85#16837292C2211yescharacteristic, complemented
86#16837291C2211yescharacteristic, complemented
87#16837291C2211yescharacteristic, complemented
88#16837291C2211yescharacteristic, complemented
89#16837289C2211yescharacteristic, complemented
90#16837289C2211yescharacteristic, complemented
91#16837289C2211yescharacteristic, complemented
92#16837287C2211yescharacteristic, complemented
93#16837287C2211yescharacteristic, complemented
94#16837287C2211yescharacteristic, complemented
95#16837284C2211yescharacteristic, complemented
96#16837284C2211yescharacteristic, complemented
97#16837284C2211yescharacteristic, complemented
98#16837280C2211yescharacteristic
99#16837280C2211yescharacteristic
100#16837280C2211yescharacteristic
101#16837280C2211yescharacteristic
102#16837280C2211yescharacteristic
103#16837280C2211yescharacteristic
104#16837280C2211yescharacteristic
105#16837280C2211yescharacteristic
106#16837280C2211yescharacteristic
107#16837280C2211yescharacteristic
108#16837280C2211yescharacteristic
109#16837280C2211yescharacteristic
110#16837280C2211yescharacteristic
111#16837280C2211yescharacteristic
112#16837280C2211yescharacteristic
113#16837280C2211yescharacteristic
114#16837280C2211yescharacteristic
115#16837280C2211yescharacteristic
116#16837280C2211yescharacteristic
117#16837280C2211yescharacteristic
118#16837280C2211yescharacteristic
119#16837280C2211yescharacteristic
120#16837280C2211yescharacteristic
121#16837280C2211yescharacteristic
122#16837277C2211yescharacteristic
123#16837277C2211yescharacteristic
124#16837276C2211yescharacteristic, complemented
125#16837276C2211yescharacteristic, complemented
126#16837276C2211yescharacteristic, complemented
127#16837276C2211yescharacteristic, complemented
128#16837276C2211yescharacteristic, complemented
129#16837276C2211yescharacteristic, complemented
130#16837276C2211yescharacteristic, complemented
131#16837276C2211yescharacteristic, complemented
132#16837275C2211yescharacteristic
133#16837275C2211yescharacteristic
134#16837274C2211yescharacteristic
135#16837274C2211yescharacteristic
136#16837273C2211yescharacteristic, complemented
137#16837273C2211yescharacteristic, complemented
138#16837273C2211yescharacteristic, complemented
139#16837273C2211yescharacteristic, complemented
140#16837273C2211yescharacteristic, complemented
141#16837273C2211yescharacteristic, complemented
142#16837273C2211yescharacteristic, complemented
143#16837273C2211yescharacteristic, complemented
144#16837269C2211yescharacteristic, complemented
145#16837269C2211yescharacteristic, complemented
146#16837269C2211yescharacteristic, complemented
147#16837265C2211yescharacteristic
148#16837265C2211yescharacteristic
149#16837262C2211yescharacteristic
150#16837261C2211yescharacteristic, complemented
151#16837261C2211yescharacteristic, complemented
152#16837260C2211yescharacteristic
153#16837260C2211yescharacteristic
154#16837259C2211yescharacteristic, complemented
155#16837259C2211yescharacteristic, complemented
156#16837257C2211yescharacteristic
157#16837257C2211yescharacteristic
158#16837257C2211yescharacteristic
159#16837257C2211yescharacteristic
160C22⋊C4×Dic59C2211yescharacteristic
161C22⋊C4×Dic59C2211yescharacteristic
162C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
163C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
164C4×C22⋊Dic59C2211yescharacteristic
165#16837249C2211yescharacteristic, complemented
166#16837249C2211yescharacteristic, complemented
167C2×C59⋊#95C2211yescharacteristic
168#95×D59C2211yescharacteristic, complemented
169#95×D59C2211yescharacteristic, complemented
170#95×D59C2211yescharacteristic, complemented
171#95×D59C2211yescharacteristic, complemented
172C59×#401C2211yescharacteristic, complemented
173C59×#400C2211yescharacteristic, complemented
174C59×#400C2211yescharacteristic, complemented
175C59×#400C2211yescharacteristic, complemented
176C59×#387C2211yescharacteristic, complemented
177C59×#387C2211yescharacteristic, complemented
178C59×#387C2211yescharacteristic, complemented
179C59×#385C2211yescharacteristic
180C59×#385C2211yescharacteristic
181C59×#383C2211yescharacteristic, complemented
182C59×#381C2211yescharacteristic
183C59×#381C2211yescharacteristic
184C59×#380C2211yescharacteristic
185C4×C22⋊C4×C59C2211yescharacteristic
186C2×#95×C59C2211yescharacteristic
187C24×D59C2311yescharacteristic
188C24×D59C2311yescharacteristic
189C22×D236—24no—
190C22×D236—24no—
191C22×D236—24no—
192C22×D236C2311yescharacteristic
193C22×D236C2311yescharacteristic
194C22×D236C2311yescharacteristic
195C22×D236C2311yescharacteristic
196C23×Dic59C2311yescharacteristic
197C23×Dic59C2311yescharacteristic
198C22×C4×D59—24no—
199C22×C4×D59—42no—
200C22×C4×D59—42no—
201C22×C4×D59C2311yescharacteristic
202C22×C4×D59C2311yescharacteristic
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#14273722—42no—
214#14273722—42no—
215#14273722—42no—
216#14273721—42no—
217C2×C4⋊Dic59C2311yescharacteristic
218C2×C4⋊Dic59C2311yescharacteristic
219C2×C4⋊Dic59C2311yescharacteristic
220C2×C4⋊Dic59C2311yescharacteristic
221C2×C4⋊Dic59C2311yescharacteristic
222C2×C4⋊Dic59C2311yescharacteristic
223C2×Dic59⋊C4C2311yescharacteristic
224C2×Dic59⋊C4C2311yescharacteristic
225C2×Dic59⋊C4C2311yescharacteristic
226C2×Dic59⋊C4C2311yescharacteristic
227C2×Dic59⋊C4C2311yescharacteristic
228C2×Dic59⋊C4C2311yescharacteristic
229C2×Dic59⋊C4C2311yescharacteristic
230C2×Dic59⋊C4C2311yescharacteristic
231C2×Dic59⋊C4C2311yescharacteristic
232C2×Dic59⋊C4C2311yescharacteristic
233C2×Dic59⋊C4C2311yescharacteristic
234C2×Dic59⋊C4C2311yescharacteristic
235C4⋊C4×D59—42no—
236C4⋊C4×D59—42no—
237C2×C22⋊Dic59C2311yescharacteristic
238C2×C22⋊Dic59C2311yescharacteristic
239C2×C22⋊Dic59C2311yescharacteristic
240C2×C22⋊Dic59C2311yescharacteristic
241C2×(C2×D59)⋊C4—24no—
242C2×(C2×D59)⋊C4—42no—
243C2×(C2×D59)⋊C4—42no—
244C2×(C2×D59)⋊C4C2311yescharacteristic
245C2×(C2×D59)⋊C4C2311yescharacteristic
246C2×(C2×D59)⋊C4C2311yescharacteristic
247C2×(C2×D59)⋊C4C2311yescharacteristic
248C2×(C2×D59)⋊C4C2311yescharacteristic
249C2×(C2×D59)⋊C4C2311yescharacteristic
250C2×(C2×D59)⋊C4C2311yescharacteristic
251C2×(C2×D59)⋊C4C2311yescharacteristic
252C2×(C2×D59)⋊C4C2311yescharacteristic
253C2×(C2×D59)⋊C4C2311yescharacteristic
254C2×(C2×D59)⋊C4C2311yescharacteristic
255C2×(C2×D59)⋊C4C2311yescharacteristic
256C2×(C2×D59)⋊C4C2311yescharacteristic
257C2×(C2×D59)⋊C4C2311yescharacteristic
258C2×(C2×D59)⋊C4C2311yescharacteristic
259C2×(C2×D59)⋊C4C2311yescharacteristic
260C2×(C2×D59)⋊C4C2311yescharacteristic
261C2×(C2×D59)⋊C4C2311yescharacteristic
262C2×(C2×D59)⋊C4C2311yescharacteristic
263C2×(C2×D59)⋊C4C2311yescharacteristic
264C2×(C2×D59)⋊C4C2311yescharacteristic
265C2×(C2×D59)⋊C4C2311yescharacteristic
266C2×(C2×D59)⋊C4C2311yescharacteristic
267C2×(C2×D59)⋊C4C2311yescharacteristic
268C2×(C2×D59)⋊C4C2311yescharacteristic
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
280C22⋊C4×D59—24no—
281C22⋊C4×D59—24no—
282C22⋊C4×D59—24no—
283C22⋊C4×D59—24no—
284C2×C4×Dic59C2311yescharacteristic
285C2×C4×Dic59C2311yescharacteristic
286C2×C4×Dic59C2311yescharacteristic
287C2×C4×Dic59C2311yescharacteristic
288C2×C4×Dic59C2311yescharacteristic
289C2×C4×Dic59C2311yescharacteristic
290C42×D59—42no—
291C42×D59—42no—
292C59⋊#95C2311yescharacteristic
293C59⋊#95C2311yescharacteristic
294C59⋊#95C2311yescharacteristic
295C59⋊#95C2311yescharacteristic
296C59⋊#95C2311yescharacteristic
297C59⋊#95C2311yescharacteristic
298C59⋊#95C2311yescharacteristic
299C59⋊#95C2311yescharacteristic
300C59⋊#95C2311yescharacteristic
301C59⋊#95C2311yescharacteristic
302C59⋊#95C2311yescharacteristic
303C59⋊#95C2311yescharacteristic
304C59⋊#95C2311yescharacteristic
305C59⋊#95C2311yescharacteristic
306C59⋊#95C2311yescharacteristic
307C59⋊#95C2311yescharacteristic
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
328C23×C4×C59C2311yescharacteristic
329C23×C4×C59C2311yescharacteristic
330C23×C4×C59C2311yescharacteristic
331C2×C4⋊C4×C59C2311yescharacteristic
332C2×C4⋊C4×C59C2311yescharacteristic
333C2×C4⋊C4×C59C2311yescharacteristic
334C2×C4⋊C4×C59C2311yescharacteristic
335C2×C4⋊C4×C59C2311yescharacteristic
336C2×C4⋊C4×C59C2311yescharacteristic
337C2×C22⋊C4×C59C2311yescharacteristic
338C2×C22⋊C4×C59C2311yescharacteristic
339C2×C22⋊C4×C59C2311yescharacteristic
340C2×C22⋊C4×C59C2311yescharacteristic
341C2×C42×C59C2311yescharacteristic
342C2×C42×C59C2311yescharacteristic
343#95×C59C2311yescharacteristic
344#95×C59C2311yescharacteristic
345#95×C59C2311yescharacteristic
346#95×C59C2311yescharacteristic
347#95×C59C2311yescharacteristic
348#95×C59C2311yescharacteristic
349#95×C59C2311yescharacteristic
350#95×C59C2311yescharacteristic
351#95×C59C2311yescharacteristic
352#95×C59C2311yescharacteristic
353#95×C59C2311yescharacteristic
354#95×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
363C24×C59C2411yescharacteristic
364C23×D59—22no—
365C23×D59—22no—
366C23×D59—22no—
367C23×D59—41no—
368C23×D59—41no—
369C23×D59—41no—
370C23×D59—41no—
371C23×D59—41no—
372C23×D59—41no—
373C23×D59—41no—
374C23×D59—41no—
375C23×D59#4114yes—
376C23×D59#4114yes—
377C23×D59#4114yes—
378C23×D59C2411yescharacteristic
379C23×D59C2411yescharacteristic
380C23×D59C2411yescharacteristic
381C23×D59C2411yescharacteristic
382C22×C4×C59—22no—
383C22×C4×C59—22no—
384C22×C4×C59—22no—
385C22×C4×C59—22no—
386C22×C4×C59—22no—
387C22×C4×C59—22no—
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
404C22×C4×C59C2411yescharacteristic
405C22×Dic59—22no—
406C22×Dic59—22no—
407C22×Dic59—22no—
408C22×Dic59—41no—
409C22×Dic59—41no—
410C22×Dic59—41no—
411C22×Dic59C2411yescharacteristic
412C22×Dic59C2411yescharacteristic
413C22×Dic59C2411yescharacteristic
414C22×Dic59C2411yescharacteristic
415C22×Dic59C2411yescharacteristic
416C22×Dic59C2411yescharacteristic
417C22×Dic59C2411yescharacteristic
418C22×Dic59C2411yescharacteristic
419C22×Dic59C2411yescharacteristic
420C22×Dic59C2411yescharacteristic
421C22×Dic59C2411yescharacteristic
422C22×Dic59C2411yescharacteristic
423C2×D236—22no—
424C2×D236—22no—
425C2×D236—22no—
426C2×D236—22no—
427C2×D236—22no—
428C2×D236—22no—
429C2×D236—22no—
430C2×D236—22no—
431C2×D236—22no—
432C2×D236—22no—
433C2×D236—22no—
434C2×D236—22no—
435C2×D236—416no—
436C2×C4×D59—22no—
437C2×C4×D59—22no—
438C2×C4×D59—22no—
439C2×C4×D59—22no—
440C2×C4×D59—22no—
441C2×C4×D59—22no—
442C2×C4×D59—22no—
443C2×C4×D59—22no—
444C2×C4×D59—22no—
445C2×C4×D59—22no—
446C2×C4×D59—22no—
447C2×C4×D59—22no—
448C2×C4×D59—22no—
449C2×C4×D59—22no—
450C2×C4×D59—22no—
451C2×C4×D59—22no—
452C2×C4×D59—416no—
453C2×C4×D59—41no—
454C2×C4×D59—41no—
455C2×C4×D59—41no—
456C2×C4×D59—41no—
457C2×C4×D59—41no—
458C2×C4×D59—41no—
459C2×C4×D59—41no—
460C2×C4×D59—41no—
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—41no—
472C2×C4×D59—41no—
473C4⋊C4×C59—22no—
474C4⋊C4×C59—41no—
475C4⋊C4×C59—41no—
476C4⋊C4×C59—41no—
477C4⋊C4×C59—41no—
478C4⋊C4×C59—41no—
479C22⋊C4×C59—22no—
480C22⋊C4×C59—22no—
481C22⋊C4×C59—22no—
482C22⋊C4×C59—22no—
483C42×C59—22no—
484C42×C59—41no—
485C22⋊Dic59—22no—
486C22⋊Dic59—22no—
487C22⋊Dic59—22no—
488C22⋊Dic59—22no—
489(C2×D59)⋊C4—22no—
490(C2×D59)⋊C4—22no—
491(C2×D59)⋊C4—22no—
492(C2×D59)⋊C4—22no—
493(C2×D59)⋊C4—22no—
494(C2×D59)⋊C4—22no—
495(C2×D59)⋊C4—22no—
496(C2×D59)⋊C4—22no—
497(C2×D59)⋊C4—22no—
498(C2×D59)⋊C4—22no—
499(C2×D59)⋊C4—22no—
500(C2×D59)⋊C4—22no—
501(C2×D59)⋊C4—22no—
502(C2×D59)⋊C4—22no—
503(C2×D59)⋊C4—22no—
504(C2×D59)⋊C4—22no—
505(C2×D59)⋊C4—41no—
506(C2×D59)⋊C4—41no—
507(C2×D59)⋊C4—41no—
508(C2×D59)⋊C4—41no—
509(C2×D59)⋊C4—41no—
510(C2×D59)⋊C4—41no—
511(C2×D59)⋊C4—41no—
512(C2×D59)⋊C4—41no—
513(C2×D59)⋊C4—41no—
514(C2×D59)⋊C4—41no—
515(C2×D59)⋊C4—41no—
516(C2×D59)⋊C4—41no—
517(C2×D59)⋊C4—41no—
518(C2×D59)⋊C4—41no—
519(C2×D59)⋊C4—41no—
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—
525C4⋊Dic59—22no—
526C4⋊Dic59—41no—
527C4⋊Dic59—41no—
528C4⋊Dic59—41no—
529C4⋊Dic59—41no—
530C4⋊Dic59—41no—
531Dic59⋊C4—22no—
532Dic59⋊C4—22no—
533Dic59⋊C4—41no—
534Dic59⋊C4—41no—
535Dic59⋊C4—41no—
536Dic59⋊C4—41no—
537Dic59⋊C4—41no—
538Dic59⋊C4—41no—
539Dic59⋊C4—41no—
540Dic59⋊C4—41no—
541Dic59⋊C4—41no—
542Dic59⋊C4—41no—
543C4×Dic59—22no—
544C4×Dic59—22no—
545C4×Dic59—22no—
546C4×Dic59—41no—
547C4×Dic59—41no—
548C4×Dic59—41no—
549C23×C59—21no—
550C23×C59—21no—
551C23×C59—21no—
552C23×C59—21no—
553C23×C59C2×#4112yes—
554C23×C59C2×#4112yes—
555C23×C59C2×#4112yes—
556C23×C59C2511yescharacteristic
557C22×D59—21no—
558C22×D59—21no—
559C22×D59—21no—
560C22×D59—21no—
561C22×D59—21no—
562C22×D59—21no—
563C22×D59—21no—
564C22×D59—21no—
565C22×D59—21no—
566C22×D59—21no—
567C22×D59—21no—
568C22×D59—21no—
569C22×D59—21no—
570C22×D59—21no—
571C22×D59—21no—
572C22×D59—21no—
573C22×D59—21no—
574C22×D59—21no—
575C22×D59—21no—
576C22×D59—21no—
577C22×D59—21no—
578C22×D59—21no—
579C22×D59—44no—
580C22×D59—44no—
581C22×D59—44no—
582C22×D59—44no—
583C22×D59—44no—
584C22×D59—44no—
585C22×D59—44no—
586C22×D59—44no—
587C22×D59—44no—
588C22×D59—82no—
589C22×D59—82no—
590C22×D59—82no—
591C22×D59—82no—
592C22×D59#126116yescomplemented
593C22×D59C2×#4112yes—
594C22×D59C2×#4112yes—
595C22×D59C2×#4112yes—
596C22×D59C2×#4112yes—
597C22×D59C2×#4112yes—
598C22×D59C2×#4112yes—
599C2×C4×C59—21no—
600C2×C4×C59—21no—
601C2×C4×C59—21no—
602C2×C4×C59—21no—
603C2×C4×C59—21no—
604C2×C4×C59—21no—
605C2×C4×C59—21no—
606C2×C4×C59—21no—
607C2×C4×C59—21no—
608C2×C4×C59—21no—
609C2×C4×C59—21no—
610C2×C4×C59—21no—
611C2×C4×C59—21no—
612C2×C4×C59—21no—
613C2×C4×C59—21no—
614C2×C4×C59—21no—
615C2×C4×C59—21no—
616C2×C4×C59—21no—
617C2×C4×C59—21no—
618C2×C4×C59—21no—
619C2×C4×C59—21no—
620C2×C4×C59—21no—
621C2×C4×C59—21no—
622C2×C4×C59—21no—
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—44no—
641C2×C4×C59—44no—
642C2×C4×C59—82no—
643C2×C4×C59H(5,𝔽2)12yes—
644C2×Dic59—21no—
645C2×Dic59—21no—
646C2×Dic59—21no—
647C2×Dic59—21no—
648C2×Dic59—21no—
649C2×Dic59—21no—
650C2×Dic59—21no—
651C2×Dic59—21no—
652C2×Dic59—21no—
653C2×Dic59—21no—
654C2×Dic59—21no—
655C2×Dic59—21no—
656C2×Dic59—21no—
657C2×Dic59—21no—
658C2×Dic59—21no—
659C2×Dic59—21no—
660C2×Dic59—21no—
661C2×Dic59—21no—
662C2×Dic59—21no—
663C2×Dic59—21no—
664C2×Dic59—21no—
665C2×Dic59—21no—
666C2×Dic59—21no—
667C2×Dic59—21no—
668C2×Dic59—21no—
669C2×Dic59—21no—
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—44no—
680C2×Dic59—82no—
681C2×Dic59H(5,𝔽2)12yes—
682D236—44no—
683D236—44no—
684D236—44no—
685D236—44no—
686C4×D59—28no—
687C4×D59—44no—
688C4×D59—44no—
689C4×D59—44no—
690C4×D59—44no—
691C4×D59—44no—
692C4×D59—44no—
693C4×D59—44no—
694C4×D59—44no—
695C4×D59—44no—
696C4×D59—82no—
697C4×D59—82no—
698#34995—591nomaximal, Sylow
699C22×C59—22no—
700C22×C59—22no—
701C22×C59—22no—
702C22×C59—22no—
703C22×C59—22no—
704C22×C59—22no—
705C22×C59C2×#12614yes—
706C22×C59C22×#4111yescharacteristic
707C22×C59C22×#4111yescharacteristic
708C22×C59C22×#4111yescharacteristic
709C22×C59C2×H(5,𝔽2)11yescharacteristic
710C22×C59C2×H(5,𝔽2)11yescharacteristic
711C22×C59#58511yescharacteristic
712C22×C59#58511yescharacteristic
713C2×D59—22no—
714C2×D59—22no—
715C2×D59—22no—
716C2×D59—22no—
717C2×D59—22no—
718C2×D59—22no—
719C2×D59—22no—
720C2×D59—22no—
721C2×D59—22no—
722C2×D59—22no—
723C2×D59—22no—
724C2×D59—22no—
725C2×D59—416no—
726C2×D59—41no—
727C2×D59—41no—
728C2×D59—41no—
729C2×D59—41no—
730C2×D59—41no—
731C2×D59—41no—
732C2×D59—41no—
733C2×D59—41no—
734C2×D59—41no—
735C2×D59—41no—
736C2×D59—41no—
737C2×D59—41no—
738C2×D59—41no—
739C2×D59—41no—
740C2×D59—88no—
741C2×D59C2×#12614yes—
742C2×D59C2×#12614yes—
743C4×C59—22no—
744C4×C59—41no—
745C4×C59—41no—
746C4×C59—41no—
747C4×C59—41no—
748C4×C59—41no—
749C4×C59—41no—
750C4×C59—41no—
751C4×C59—41no—
752C4×C59—41no—
753C4×C59—41no—
754C4×C59—41no—
755C4×C59—41no—
756C4×C59—41no—
757Dic59—22no—
758Dic59—41no—
759Dic59—41no—
760Dic59—41no—
761Dic59—41no—
762Dic59—41no—
763Dic59—41no—
764Dic59—41no—
765Dic59—41no—
766Dic59—41no—
767Dic59—41no—
768Dic59—41no—
769#2852—591no—
770#2852—591no—
771#2852—591no—
772#2852—591no—
773#2643—591no—
774#2643—591no—
775#2643—591no—
776#2643—591no—
777#2510—591no—
778#2510—591no—
779#2510—591no—
780#2510—591no—
781#2493—591no—
782#2493—591no—
783#2493—591no—
784#2493D5911yescharacteristic, complemented
785#2481—591no—
786#2481—591no—
787#2481—591no—
788#2481—591no—
789#2480—591no—
790#2480—591no—
791#2480—591no—
792#2480—591no—
793#2315—591no—
794#2315—591no—
795#2308—591no—
796#2308—591no—
797C2×#386—591no—
798C2×#385—591no—
799C2×C4×C22⋊C4—591no—
800C2×C59—24no—
801C2×C59C22×#12611yescharacteristic
802C2×C59#345911yescharacteristic
803C2×C59#345911yescharacteristic
804C2×C59#349011yescharacteristic
805C2×C59#349111yescharacteristic
806C2×C59#350511yescharacteristic
807C2×C59#350511yescharacteristic
808D59—24no—
809D59—24no—
810D59—81no—
811D59—81no—
812C23×D4—591no—
813C24×C4—591no—
814C2×#126—591no—
815C2×#126—591no—
816C2×#126—591no—
817C2×#126—591no—
818C22×C4⋊C4—591no—
819C22×C4⋊C4—591no—
820C22×C22⋊C4—591no—
821C22×C22⋊C4—591no—
822C22×C22⋊C4—591no—
823C22×C22⋊C4—591no—
824C22×C22⋊C4—591no—
825C22×C22⋊C4—591no—
826C22×C22⋊C4—591no—
827C22×C42—591no—
828C22×C42—591no—
829#401—591no—
830#401—591no—
831#401—591no—
832#401C2×D5911yescharacteristic, complemented
833#400—591no—
834#400—591no—
835#400—591no—
836#400—591no—
837#400—591no—
838#400—591no—
839#400—591no—
840#400—591no—
841#400—591no—
842#400C2×D5911yescharacteristic, complemented
843#400C2×D5911yescharacteristic, complemented
844#400C2×D5911yescharacteristic, complemented
845#397—591no—
846#397—591no—
847#397—591no—
848#397—591no—
849#397—591no—
850#397—591no—
851#397—591no—
852#397—591no—
853#397—591no—
854#397—591no—
855#397—591no—
856#397—591no—
857#396—591no—
858#396—591no—
859#396—591no—
860#396—591no—
861#388—591no—
862#388—591no—
863#388—591no—
864#388—591no—
865#388—591no—
866#388—591no—
867#388—591no—
868#388—591no—
869#388—591no—
870#388—591no—
871#388—591no—
872#388—591no—
873#387—591no—
874#387—591no—
875#387—591no—
876#387—591no—
877#387—591no—
878#387—591no—
879#387—591no—
880#387—591no—
881#387—591no—
882#387C2×D5911yescharacteristic, complemented
883#387C2×D5911yescharacteristic, complemented
884#387C2×D5911yescharacteristic, complemented
885#386—591no—
886#386—591no—
887#386—591no—
888#386—591no—
889#386—591no—
890#386—591no—
891#386—591no—
892#386—591no—
893#386—591no—
894#386—591no—
895#386—591no—
896#386—591no—
897#386—591no—
898#386—591no—
899#386—591no—
900#386—591no—
901#386—591no—
902#386—591no—
903#386—591no—
904#386—591no—
905#386—591no—
906#386—591no—
907#386—591no—
908#386—591no—
909#385—591no—
910#385—591no—
911#385—591no—
912#385—591no—
913#385—591no—
914#385—591no—
915#385—591no—
916#385—591no—
917#385—591no—
918#385—591no—
919#385—591no—
920#385—591no—
921#385—591no—
922#385—591no—
923#385—591no—
924#385—591no—
925#385—591no—
926#385—591no—
927#385—591no—
928#385—591no—
929#385—591no—
930#385—591no—
931#385C2×D5911yescharacteristic
932#385C2×D5911yescharacteristic
933#383—591no—
934#383—591no—
935#383—591no—
936#383C2×D5911yescharacteristic, complemented
937#381—591no—
938#381—591no—
939#381C2×D5911yescharacteristic
940#381C2×D5911yescharacteristic
941#380—591no—
942#380—591no—
943#380—591no—
944#380—591no—
945#380—591no—
946#380—591no—
947#380—591no—
948#380C2×D5911yescharacteristic
949#379—591no—
950#379—591no—
951#379—591no—
952#379—591no—
953C4×C22⋊C4—591no—
954C4×C22⋊C4—591no—
955C4×C22⋊C4—591no—
956C4×C22⋊C4—591no—
957C4×C22⋊C4—591no—
958C4×C22⋊C4—591no—
959C4×C22⋊C4—591no—
960C4×C22⋊C4C2×D5911yescharacteristic
961C2×#95—591no—
962C2×#95—591no—
963C2×#95—591no—
964C2×#95—591no—
965C2×#95—591no—
966C2×#95C2×D5911yescharacteristic
967C59#3499511yescharacteristic, complemented, Sylow
968C25—591no—
969C25—591no—
970C22×D4—591no—
971C22×D4—591no—
972C22×D4—591no—
973C22×D4—591no—
974C22×D4—1184no—
975C22×D4—1184no—
976C22×D4—1184no—
977C23×C4—591no—
978C23×C4—591no—
979C23×C4—591no—
980C23×C4—591no—
981C23×C4—591no—
982C23×C4—591no—
983C23×C4—591no—
984C23×C4—591no—
985C23×C4—591no—
986C23×C4—591no—
987C23×C4—591no—
988C23×C4—591no—
989C23×C4—591no—
990C23×C4—591no—
991C23×C4—1184no—
992C23×C4—2362no—
993C23×C4—2362no—
994C23×C4C22×D5911yescharacteristic
995C23×C4C22×D5911yescharacteristic
996C23×C4C22×D5911yescharacteristic
997#126—2362no—
998#126—2362no—
999#126—2362no—
1000#126—2362no—
1001C2×C4⋊C4—591no—
1002C2×C4⋊C4—591no—
1003C2×C4⋊C4—591no—
1004C2×C4⋊C4—591no—
1005C2×C4⋊C4—591no—
1006C2×C4⋊C4—591no—
1007C2×C4⋊C4—591no—
1008C2×C4⋊C4—591no—
1009C2×C4⋊C4—591no—
1010C2×C4⋊C4—591no—
1011C2×C4⋊C4—591no—
1012C2×C4⋊C4—591no—
1013C2×C4⋊C4—591no—
1014C2×C4⋊C4—591no—
1015C2×C4⋊C4—591no—
1016C2×C4⋊C4—591no—
1017C2×C4⋊C4—591no—
1018C2×C4⋊C4—591no—
1019C2×C4⋊C4—2362no—
1020C2×C4⋊C4—2362no—
1021C2×C4⋊C4C22×D5911yescharacteristic
1022C2×C4⋊C4C22×D5911yescharacteristic
1023C2×C4⋊C4C22×D5911yescharacteristic
1024C2×C4⋊C4C22×D5911yescharacteristic
1025C2×C4⋊C4C22×D5911yescharacteristic
1026C2×C4⋊C4C22×D5911yescharacteristic
1027C2×C22⋊C4—591no—
1028C2×C22⋊C4—591no—
1029C2×C22⋊C4—591no—
1030C2×C22⋊C4—591no—
1031C2×C22⋊C4—591no—
1032C2×C22⋊C4—591no—
1033C2×C22⋊C4—591no—
1034C2×C22⋊C4—591no—
1035C2×C22⋊C4—591no—
1036C2×C22⋊C4—591no—
1037C2×C22⋊C4—591no—
1038C2×C22⋊C4—591no—
1039C2×C22⋊C4—591no—
1040C2×C22⋊C4—591no—
1041C2×C22⋊C4—591no—
1042C2×C22⋊C4—591no—
1043C2×C22⋊C4—591no—
1044C2×C22⋊C4—591no—
1045C2×C22⋊C4—591no—
1046C2×C22⋊C4—591no—
1047C2×C22⋊C4—591no—
1048C2×C22⋊C4—591no—
1049C2×C22⋊C4—591no—
1050C2×C22⋊C4—591no—
1051C2×C22⋊C4—591no—
1052C2×C22⋊C4—591no—
1053C2×C22⋊C4—591no—
1054C2×C22⋊C4—591no—
1055C2×C22⋊C4—591no—
1056C2×C22⋊C4—591no—
1057C2×C22⋊C4—591no—
1058C2×C22⋊C4—591no—
1059C2×C22⋊C4—591no—
1060C2×C22⋊C4—591no—
1061C2×C22⋊C4—591no—
1062C2×C22⋊C4—591no—
1063C2×C22⋊C4—591no—
1064C2×C22⋊C4—591no—
1065C2×C22⋊C4—591no—
1066C2×C22⋊C4—591no—
1067C2×C22⋊C4—1184no—
1068C2×C22⋊C4—1184no—
1069C2×C22⋊C4—1184no—
1070C2×C22⋊C4—1184no—
1071C2×C22⋊C4—1184no—
1072C2×C22⋊C4—2362no—
1073C2×C22⋊C4—2362no—
1074C2×C22⋊C4C22×D5911yescharacteristic
1075C2×C22⋊C4C22×D5911yescharacteristic
1076C2×C22⋊C4C22×D5911yescharacteristic
1077C2×C22⋊C4C22×D5911yescharacteristic
1078C2×C42—591no—
1079C2×C42—591no—
1080C2×C42—591no—
1081C2×C42—591no—
1082C2×C42—591no—
1083C2×C42—591no—
1084C2×C42—2362no—
1085C2×C42—2362no—
1086C2×C42C22×D5911yescharacteristic
1087C2×C42C22×D5911yescharacteristic
1088#95—591no—
1089#95—591no—
1090#95—591no—
1091#95—591no—
1092#95—591no—
1093#95—591no—
1094#95—591no—
1095#95—591no—
1096#95—591no—
1097#95—591no—
1098#95—591no—
1099#95—591no—
1100#95—591no—
1101#95—591no—
1102#95—591no—
1103#95—591no—
1104#95—591no—
1105#95—591no—
1106#95—591no—
1107#95—591no—
1108#95—591no—
1109#95—591no—
1110#95—591no—
1111#95—591no—
1112#95—591no—
1113#95—591no—
1114#95—591no—
1115#95—591no—
1116#95—591no—
1117#95—591no—
1118#95—591no—
1119#95—591no—
1120#95—591no—
1121#95—591no—
1122#95—591no—
1123#95—591no—
1124#95C22×D5911yescharacteristic
1125#95C22×D5911yescharacteristic
1126#95C22×D5911yescharacteristic
1127#95C22×D5911yescharacteristic
1128#95C22×D5911yescharacteristic
1129#95C22×D5911yescharacteristic
1130#95C22×D5911yescharacteristic
1131#95C22×D5911yescharacteristic
1132#95C22×D5911yescharacteristic
1133#95C22×D5911yescharacteristic
1134#95C22×D5911yescharacteristic
1135#95C22×D5911yescharacteristic
1136#95C22×D5911yescharacteristic
1137#95C22×D5911yescharacteristic
1138#95C22×D5911yescharacteristic
1139#95C22×D5911yescharacteristic
1140#95C22×D5911yescharacteristic
1141#95C22×D5911yescharacteristic
1142#95C22×D5911yescharacteristic
1143#95C22×D5911yescharacteristic
1144C24—591no—
1145C24—591no—
1146C24—594no—
1147C24—594no—
1148C24—594no—
1149C24—591no—
1150C24—591no—
1151C24—1182no—
1152C24—1182no—
1153C24—1182no—
1154C24—2361no—
1155C24—2361no—
1156C24—2361no—
1157C24—2361no—
1158C24—2361no—
1159C24—2361no—
1160C24—2361no—
1161C24—2361no—
1162C24C23×D5911yescharacteristic
1163C2×D4—1182no—
1164C2×D4—1182no—
1165C2×D4—1182no—
1166C2×D4—1182no—
1167C2×D4—1182no—
1168C2×D4—1182no—
1169C2×D4—1182no—
1170C2×D4—1182no—
1171C2×D4—1182no—
1172C2×D4—1182no—
1173C2×D4—1182no—
1174C2×D4—1182no—
1175C2×D4—23616no—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—41no—
1183C22×C4—41no—
1184C22×C4—41no—
1185C22×C4—591no—
1186C22×C4—591no—
1187C22×C4—591no—
1188C22×C4—591no—
1189C22×C4—591no—
1190C22×C4—591no—
1191C22×C4—591no—
1192C22×C4—591no—
1193C22×C4—591no—
1194C22×C4—591no—
1195C22×C4—591no—
1196C22×C4—591no—
1197C22×C4—1182no—
1198C22×C4—1182no—
1199C22×C4—1182no—
1200C22×C4—1182no—
1201C22×C4—1182no—
1202C22×C4—1182no—
1203C22×C4—1182no—
1204C22×C4—1182no—
1205C22×C4—1182no—
1206C22×C4—1182no—
1207C22×C4—1182no—
1208C22×C4—1182no—
1209C22×C4—1182no—
1210C22×C4—1182no—
1211C22×C4—1182no—
1212C22×C4—1182no—
1213C22×C4—1182no—
1214C22×C4—1182no—
1215C22×C4—1182no—
1216C22×C4—2361no—
1217C22×C4—2361no—
1218C22×C4—2361no—
1219C22×C4—2361no—
1220C22×C4—2361no—
1221C22×C4—2361no—
1222C22×C4—2361no—
1223C22×C4—2361no—
1224C22×C4—2361no—
1225C22×C4—2361no—
1226C22×C4—2361no—
1227C22×C4—2361no—
1228C22×C4—2361no—
1229C22×C4—2361no—
1230C22×C4—2361no—
1231C22×C4—2361no—
1232C22×C4—2361no—
1233C22×C4—2361no—
1234C22×C4—2361no—
1235C22×C4—2361no—
1236C22×C4—23616no—
1237C22×C4—2361no—
1238C22×C4—2361no—
1239C22×C4—2361no—
1240C22×C4C23×D5911yescharacteristic
1241C22×C4C23×D5911yescharacteristic
1242C22×C4C23×D5911yescharacteristic
1243C22×C4C23×D5911yescharacteristic
1244C22×C4C23×D5911yescharacteristic
1245C22×C4C23×D5911yescharacteristic
1246C22×C4C23×D5911yescharacteristic
1247C22×C4C23×D5911yescharacteristic
1248C22×C4C23×D5911yescharacteristic
1249C22×C4C23×D5911yescharacteristic
1250C22×C4C23×D5911yescharacteristic
1251C22×C4C23×D5911yescharacteristic
1252C22×C4C23×D5911yescharacteristic
1253C22×C4C23×D5911yescharacteristic
1254C4⋊C4—22no—
1255C4⋊C4—41no—
1256C4⋊C4—41no—
1257C4⋊C4—41no—
1258C4⋊C4—41no—
1259C4⋊C4—41no—
1260C4⋊C4—1182no—
1261C4⋊C4—1182no—
1262C4⋊C4—1182no—
1263C4⋊C4—2361no—
1264C4⋊C4—2361no—
1265C4⋊C4—2361no—
1266C4⋊C4—2361no—
1267C4⋊C4—2361no—
1268C4⋊C4—2361no—
1269C4⋊C4—2361no—
1270C4⋊C4—2361no—
1271C4⋊C4—2361no—
1272C4⋊C4—2361no—
1273C4⋊C4—2361no—
1274C4⋊C4—2361no—
1275C4⋊C4—2361no—
1276C4⋊C4—2361no—
1277C4⋊C4—2361no—
1278C22⋊C4—22no—
1279C22⋊C4—22no—
1280C22⋊C4—22no—
1281C22⋊C4—22no—
1282C22⋊C4—1182no—
1283C22⋊C4—1182no—
1284C22⋊C4—1182no—
1285C22⋊C4—1182no—
1286C22⋊C4—1182no—
1287C22⋊C4—1182no—
1288C22⋊C4—1182no—
1289C22⋊C4—1182no—
1290C22⋊C4—1182no—
1291C22⋊C4—1182no—
1292C22⋊C4—1182no—
1293C22⋊C4—1182no—
1294C22⋊C4—1182no—
1295C22⋊C4—1182no—
1296C22⋊C4—1182no—
1297C22⋊C4—1182no—
1298C22⋊C4—1182no—
1299C22⋊C4—1182no—
1300C22⋊C4—1182no—
1301C22⋊C4—1182no—
1302C22⋊C4—2361no—
1303C22⋊C4—2361no—
1304C22⋊C4—2361no—
1305C22⋊C4—2361no—
1306C22⋊C4—2361no—
1307C22⋊C4—2361no—
1308C22⋊C4—2361no—
1309C22⋊C4—2361no—
1310C22⋊C4—2361no—
1311C22⋊C4—2361no—
1312C22⋊C4—2361no—
1313C22⋊C4—2361no—
1314C22⋊C4—2361no—
1315C22⋊C4—2361no—
1316C22⋊C4—2361no—
1317C22⋊C4—2361no—
1318C22⋊C4—2361no—
1319C22⋊C4—2361no—
1320C22⋊C4—2361no—
1321C22⋊C4—2361no—
1322C42—22no—
1323C42—41no—
1324C42—1182no—
1325C42—1182no—
1326C42—1182no—
1327C42—2361no—
1328C42—2361no—
1329C42—2361no—
1330C23—21no—
1331C23—21no—
1332C23—21no—
1333C23—21no—
1334C23—592no—
1335C23—592no—
1336C23—592no—
1337C23—592no—
1338C23—592no—
1339C23—592no—
1340C23—5916no—
1341C23—1181no—
1342C23—1181no—
1343C23—1181no—
1344C23—1181no—
1345C23—1181no—
1346C23—1181no—
1347C23—1181no—
1348C23—1181no—
1349C23—1181no—
1350C23—1181no—
1351C23—1181no—
1352C23—1181no—
1353C23—1181no—
1354C23—1181no—
1355C23—1181no—
1356C23—1181no—
1357C23—1181no—
1358C23—1181no—
1359C23—1181no—
1360C23—1181no—
1361C23—1181no—
1362C23—1181no—
1363C23—4722no—
1364C23—4722no—
1365C23—4722no—
1366C23—4722no—
1367C23—2364no—
1368C23—2364no—
1369C23—2364no—
1370C23—2364no—
1371C23—2364no—
1372C23—2364no—
1373C23—2364no—
1374C23—2364no—
1375C23—2364no—
1376C23#41×D5912yes—
1377C23#41×D5912yes—
1378C23#41×D5912yes—
1379C23C24×D5911yescharacteristic
1380D4—2364no—
1381D4—2364no—
1382D4—2364no—
1383D4—2364no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—44no—
1426C2×C4—44no—
1427C2×C4—82no—
1428C2×C4—592no—
1429C2×C4—1188no—
1430C2×C4—1181no—
1431C2×C4—1181no—
1432C2×C4—1181no—
1433C2×C4—1181no—
1434C2×C4—1181no—
1435C2×C4—1181no—
1436C2×C4—1181no—
1437C2×C4—1181no—
1438C2×C4—1181no—
1439C2×C4—1181no—
1440C2×C4—1181no—
1441C2×C4—1181no—
1442C2×C4—1181no—
1443C2×C4—1181no—
1444C2×C4—1181no—
1445C2×C4—1181no—
1446C2×C4—1181no—
1447C2×C4—1181no—
1448C2×C4—1181no—
1449C2×C4—1181no—
1450C2×C4—1181no—
1451C2×C4—1181no—
1452C2×C4—1181no—
1453C2×C4—1181no—
1454C2×C4—1181no—
1455C2×C4—1181no—
1456C2×C4—1181no—
1457C2×C4—1181no—
1458C2×C4—1181no—
1459C2×C4—1181no—
1460C2×C4—1181no—
1461C2×C4—1181no—
1462C2×C4—1181no—
1463C2×C4—1181no—
1464C2×C4—1181no—
1465C2×C4—4722no—
1466C2×C4—4722no—
1467C2×C4—4722no—
1468C2×C4—2364no—
1469C2×C4—2364no—
1470C2×C4—2364no—
1471C2×C4—2364no—
1472C2×C4—2364no—
1473C2×C4—2364no—
1474C2×C4—2364no—
1475C2×C4—2364no—
1476C2×C4—2364no—
1477C2×C4—2364no—
1478C2×C4#1427377312yes—
1479C22—22no—
1480C22—22no—
1481C22—22no—
1482C22—22no—
1483C22—22no—
1484C22—22no—
1485C22—594no—
1486C22—594no—
1487C22—1182no—
1488C22—1182no—
1489C22—1182no—
1490C22—1182no—
1491C22—1182no—
1492C22—1182no—
1493C22—1182no—
1494C22—1182no—
1495C22—1182no—
1496C22—1182no—
1497C22—1182no—
1498C22—1182no—
1499C22—4728no—
1500C22—23616no—
1501C22—2361no—
1502C22—2361no—
1503C22—2361no—
1504C22—2361no—
1505C22—2361no—
1506C22—2361no—
1507C22—2361no—
1508C22—2361no—
1509C22—2361no—
1510C22—2361no—
1511C22—2361no—
1512C22—2361no—
1513C22—2361no—
1514C22—2361no—
1515C22#126×D5914yes—
1516C22C2×#41×D5911yescharacteristic
1517C22C2×#41×D5911yescharacteristic
1518C22C2×#41×D5911yescharacteristic
1519C22H(5,𝔽2)×D5911yescharacteristic
1520C22C2×#1427377311yescharacteristic
1521C22#1683823811yescharacteristic
1522C22#1683823911yescharacteristic
1523C4—22no—
1524C4—41no—
1525C4—41no—
1526C4—41no—
1527C4—41no—
1528C4—41no—
1529C4—41no—
1530C4—41no—
1531C4—41no—
1532C4—41no—
1533C4—41no—
1534C4—41no—
1535C4—41no—
1536C4—41no—
1537C4—1182no—
1538C4—2361no—
1539C4—2361no—
1540C4—2361no—
1541C4—2361no—
1542C4—2361no—
1543C4—2361no—
1544C4—2361no—
1545C4—2361no—
1546C4—2361no—
1547C4—2361no—
1548C4—2361no—
1549C2—24no—
1550C2—1184no—
1551C2—1184no—
1552C2—4721no—
1553C2—4721no—
1554C2C2×#126×D5911yescharacteristic
1555C2#2143750411yescharacteristic
1556C2#2143750611yescharacteristic
1557C2#2143778011yescharacteristic
1558C2#2143779111yescharacteristic
1559C2#2143792711yescharacteristic
1560C2#2143793611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2493C2
prime radicalC23×D236C22
hypercenter#2493D59
hypocenterC59#34995
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2493

Complements

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

NH ≅ G/Ntype
1. #21432414C2semidirect
2. #21432414C2semidirect
3. #21432414C2semidirect
4. #21432412C2semidirect
5. #21430054C2semidirect
6. #21430050C2semidirect
7. #21430050C2semidirect
8. #21430050C2semidirect
9. #21428663C2semidirect
10. #21428657C2semidirect
11. #21428653C2semidirect
12. #21428651C2semidirect
13. #21428485C2semidirect
14. #21428481C2semidirect
15. #21428477C2semidirect
16. #21428361C2semidirect
17. #21428360C2semidirect
18. #21428355C2semidirect
19. #21428350C2semidirect
20. #21428349C2semidirect
21. #21428347C2semidirect
22. #21428344C2semidirect
23. #21428342C2semidirect
24. #21426709C2semidirect
25. #21426707C2semidirect
29. #385×D59C2semidirect
30. C4×C22⋊C4×D59C2semidirect
31. C59×#2493C2semidirect
34. C2×#14273722C22semidirect
35. C2×#14273722C22semidirect
36. C2×#14273722C22semidirect
37. C2×#14273721C22semidirect
38. C2×C4⋊C4×D59C22semidirect
39. C2×C4⋊C4×D59C22semidirect
47. C2×C42×D59C22semidirect
48. C2×C42×D59C22semidirect
49. C59⋊#401C22semidirect
50. C59⋊#401C22semidirect
51. C59⋊#401C22semidirect
52. #16837344C22semidirect
53. #16837344C22semidirect
54. #16837344C22semidirect
55. #16837343C22semidirect
56. #16837343C22semidirect
57. #16837343C22semidirect
58. #16837342C22semidirect
59. #16837342C22semidirect
60. #16837342C22semidirect
61. #16837331C22semidirect
62. #16837331C22semidirect
63. #16837331C22semidirect
64. #16837331C22semidirect
65. #16837331C22semidirect
66. #16837331C22semidirect
67. #16837329C22semidirect
68. #16837329C22semidirect
69. #16837329C22semidirect
70. #16837328C22semidirect
71. #16837328C22semidirect
72. #16837328C22semidirect
73. #16837326C22semidirect
74. #16837324C22semidirect
75. #16837324C22semidirect
76. #16837324C22semidirect
77. #16837294C22semidirect
78. #16837294C22semidirect
79. #16837294C22semidirect
80. #16837293C22semidirect
81. #16837293C22semidirect
82. #16837293C22semidirect
83. #16837292C22semidirect
84. #16837292C22semidirect
85. #16837292C22semidirect
86. #16837291C22semidirect
87. #16837291C22semidirect
88. #16837291C22semidirect
89. #16837289C22semidirect
90. #16837289C22semidirect
91. #16837289C22semidirect
92. #16837287C22semidirect
93. #16837287C22semidirect
94. #16837287C22semidirect
95. #16837284C22semidirect
96. #16837284C22semidirect
97. #16837284C22semidirect
124. #16837276C22semidirect
125. #16837276C22semidirect
126. #16837276C22semidirect
127. #16837276C22semidirect
128. #16837276C22semidirect
129. #16837276C22semidirect
130. #16837276C22semidirect
131. #16837276C22semidirect
136. #16837273C22semidirect
137. #16837273C22semidirect
138. #16837273C22semidirect
139. #16837273C22semidirect
140. #16837273C22semidirect
141. #16837273C22semidirect
142. #16837273C22semidirect
143. #16837273C22semidirect
144. #16837269C22semidirect
145. #16837269C22semidirect
146. #16837269C22semidirect
150. #16837261C22semidirect
151. #16837261C22semidirect
154. #16837259C22semidirect
155. #16837259C22semidirect
162. C4×(C2×D59)⋊C4C22semidirect
163. C4×(C2×D59)⋊C4C22semidirect
165. #16837249C22semidirect
166. #16837249C22semidirect
168. #95×D59C22semidirect
169. #95×D59C22semidirect
170. #95×D59C22semidirect
171. #95×D59C22semidirect
172. C59×#401C22semidirect
173. C59×#400C22semidirect
174. C59×#400C22semidirect
175. C59×#400C22semidirect
176. C59×#387C22semidirect
177. C59×#387C22semidirect
178. C59×#387C22semidirect
181. C59×#383C22semidirect
592. C22×D59#126semidirect
784. #2493D59semidirect
832. #401C2×D59semidirect
842. #400C2×D59semidirect
843. #400C2×D59semidirect
844. #400C2×D59semidirect
882. #387C2×D59semidirect
883. #387C2×D59semidirect
884. #387C2×D59semidirect
936. #383C2×D59semidirect
967. C59#34995semidirect

Maximal subgroups

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

subgroupindex
#214324142
#214324122
#214300542
#214300502
#214286632
#214286572
#214286532
#214286512
#214284852
#214284812
#214284772
#214283612
#214283602
#214283552
#214283502
#214283492
#214283472
#214283442
#214283422
#214267092
#214267072
#214266732
C2×#168372802
#385×D592
C4×C22⋊C4×D592
C59×#24932
#3499559