Finite Group Databasebeta

← #29451928

Subgroups — #29451928

Order 15104.

2096 conjugacy classes of subgroups.

The subgroup lattice has 1616 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21431862C211yesmaximal, characteristic, complemented
2#21430828C211yesmaximal, characteristic, complemented
3#21430311C211yesmaximal, characteristic
4#21429724C211yesmaximal, characteristic, complemented
5#21429722C211yesmaximal, characteristic, complemented
6#21429685C211yesmaximal, characteristic, complemented
7#21429682C211yesmaximal, characteristic, complemented
8#21429444C211yesmaximal, characteristic, complemented
9#21429159C211yesmaximal, characteristic, complemented
10#21429149C211yesmaximal, characteristic, complemented
11#21428987C211yesmaximal, characteristic, complemented
12#21428874C211yesmaximal, characteristic, complemented
13#21428863C211yesmaximal, characteristic, complemented
14#21428285C211yesmaximal, characteristic, complemented
15#21428280C211yesmaximal, characteristic, complemented
16#21428165C211yesmaximal, characteristic, complemented
17#21428163C211yesmaximal, characteristic, complemented
18#21428006C211yesmaximal, characteristic, complemented
19#21428004C211yesmaximal, characteristic, complemented
20#21427479C211yesmaximal, characteristic, complemented
21#21427476C211yesmaximal, characteristic, complemented
22#21427228C211yesmaximal, characteristic, complemented
23#21427115C211yesmaximal, characteristic, complemented
24#21427111C211yesmaximal, characteristic, complemented
25#21427074C211yesmaximal, characteristic, complemented
26#21427072C211yesmaximal, characteristic, complemented
27#21427072C211yesmaximal, characteristic, complemented
28#21426658C211yesmaximal, characteristic, complemented
29#21426590C211yesmaximal, characteristic, complemented
30#21426588C211yesmaximal, characteristic, complemented
31C59×#2790C211yesmaximal, characteristic, complemented
32C2×#14273724C2211yescharacteristic
33C2×#14273722C2211yescharacteristic, complemented
34C2×#14273722C2211yescharacteristic, complemented
35C2×#14273712C2211yescharacteristic
36C2×#14273712C2211yescharacteristic
37C2×#14273711C2211yescharacteristic
38C2×#14273702C2211yescharacteristic
39C2×#14273700C2211yescharacteristic
40C2×#14273697C2211yescharacteristic
41C2×#14273697C2211yescharacteristic
42C2×#14273697C2211yescharacteristic
43C2×C4×D236C2211yescharacteristic
44C2×#14273689C2211yescharacteristic
45C2×#14273689C2211yescharacteristic
46C2×#14273689C2211yescharacteristic
47C2×#14273689C2211yescharacteristic
48C2×#14273689C2211yescharacteristic, complemented
49C2×#14273689C2211yescharacteristic, complemented
50C2×#14273689C2211yescharacteristic, complemented
51C2×C4×C22⋊D59C2211yescharacteristic
52C2×C4×C22⋊D59C2211yescharacteristic
53C2×#14273685C2211yescharacteristic
54C2×#14273683C2211yescharacteristic
55C2×C4⋊C4×D59C2211yescharacteristic, complemented
56C22×(C2×D59)⋊C4C2211yescharacteristic
57C2×C22⋊C4×D59C2211yescharacteristic
58C2×C22⋊C4×D59C2211yescharacteristic
59#16837341C2211yescharacteristic, complemented
60#16837335C2211yescharacteristic, complemented
61#16837335C2211yescharacteristic, complemented
62#16837332C2211yescharacteristic, complemented
63#16837331C2211yescharacteristic, complemented
64#16837328C2211yescharacteristic, complemented
65#16837324C2211yescharacteristic
66#16837324C2211yescharacteristic
67#16837324C2211yescharacteristic
68#16837324C2211yescharacteristic
69#16837320C2211yescharacteristic
70#16837320C2211yescharacteristic
71#16837320C2211yescharacteristic
72#16837320C2211yescharacteristic, complemented
73#16837320C2211yescharacteristic, complemented
74#16837319C2211yescharacteristic
75#16837319C2211yescharacteristic
76#16837319C2211yescharacteristic
77#16837319C2211yescharacteristic, complemented
78#16837319C2211yescharacteristic, complemented
79#16837318C2211yescharacteristic
80#16837318C2211yescharacteristic
81#16837312C2211yescharacteristic
82#16837312C2211yescharacteristic
83#16837311C2211yescharacteristic
84#16837311C2211yescharacteristic
85#16837303C2211yescharacteristic
86#16837303C2211yescharacteristic
87#16837303C2211yescharacteristic
88#16837303C2211yescharacteristic
89#16837303C2211yescharacteristic
90#16837303C2211yescharacteristic, complemented
91#16837303C2211yescharacteristic, complemented
92#16837303C2211yescharacteristic, complemented
93#16837302C2211yescharacteristic
94#16837302C2211yescharacteristic
95#16837297C2211yescharacteristic, complemented
96#16837296C2211yescharacteristic
97#16837295C2211yescharacteristic
98#16837294C2211yescharacteristic
99#16837294C2211yescharacteristic
100#16837294C2211yescharacteristic, complemented
101#16837294C2211yescharacteristic, complemented
102#16837294C2211yescharacteristic, complemented
103#16837294C2211yescharacteristic, complemented
104#16837293C2211yescharacteristic
105#16837293C2211yescharacteristic, complemented
106#16837292C2211yescharacteristic
107#16837292C2211yescharacteristic
108#16837292C2211yescharacteristic
109#16837292C2211yescharacteristic, complemented
110#16837292C2211yescharacteristic, complemented
111#16837292C2211yescharacteristic, complemented
112#16837291C2211yescharacteristic
113#16837291C2211yescharacteristic
114#16837291C2211yescharacteristic
115#16837291C2211yescharacteristic, complemented
116#16837291C2211yescharacteristic, complemented
117#16837290C2211yescharacteristic
118#16837289C2211yescharacteristic, complemented
119#16837288C2211yescharacteristic, complemented
120#16837287C2211yescharacteristic, complemented
121#16837286C2211yescharacteristic, complemented
122#16837285C2211yescharacteristic, complemented
123#16837284C2211yescharacteristic, complemented
124#16837283C2211yescharacteristic, complemented
125#16837283C2211yescharacteristic, complemented
126#16837281C2211yescharacteristic
127#16837280C2211yescharacteristic
128#16837280C2211yescharacteristic
129#16837280C2211yescharacteristic
130#16837280C2211yescharacteristic
131#16837280C2211yescharacteristic
132#16837280C2211yescharacteristic
133#16837280C2211yescharacteristic
134#16837280C2211yescharacteristic
135#16837280C2211yescharacteristic
136#16837280C2211yescharacteristic, complemented
137#16837280C2211yescharacteristic, complemented
138#16837279C2211yescharacteristic
139#16837279C2211yescharacteristic
140#16837278C2211yescharacteristic
141#16837278C2211yescharacteristic
142#16837276C2211yescharacteristic
143#16837276C2211yescharacteristic, complemented
144#16837276C2211yescharacteristic, complemented
145#16837273C2211yescharacteristic
146#16837273C2211yescharacteristic
147#16837273C2211yescharacteristic
148#16837273C2211yescharacteristic
149#16837273C2211yescharacteristic, complemented
150#16837273C2211yescharacteristic, complemented
151#16837264C2211yescharacteristic
152#16837264C2211yescharacteristic, complemented
153#16837264C2211yescharacteristic, complemented
154#16837259C2211yescharacteristic
155#16837259C2211yescharacteristic, complemented
156#16837257C2211yescharacteristic
157C4⋊C4×Dic59C2211yescharacteristic, complemented
158C4⋊C4×Dic59C2211yescharacteristic, complemented
159#16837253C2211yescharacteristic, complemented
160#16837253C2211yescharacteristic, complemented
161C22⋊C4×Dic59C2211yescharacteristic
162C22⋊C4×Dic59C2211yescharacteristic
163C4×(C2×D59)⋊C4C2211yescharacteristic
164C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
165#16837249C2211yescharacteristic
166#16837249C2211yescharacteristic
167#16837249C2211yescharacteristic
168#16837249C2211yescharacteristic, complemented
169#16837247C2211yescharacteristic, complemented
170#16837247C2211yescharacteristic, complemented
171C42×Dic59C2211yescharacteristic, complemented
172C59×#400C2211yescharacteristic, complemented
173C59×#398C2211yescharacteristic, complemented
174C59×#398C2211yescharacteristic, complemented
175C59×#398C2211yescharacteristic, complemented
176C59×#396C2211yescharacteristic
177C59×#396C2211yescharacteristic
178C59×#389C2211yescharacteristic, complemented
179C59×#388C2211yescharacteristic
180C59×#388C2211yescharacteristic
181C59×#387C2211yescharacteristic, complemented
182C59×#387C2211yescharacteristic, complemented
183C59×#385C2211yescharacteristic
184C59×#385C2211yescharacteristic
185C59×#385C2211yescharacteristic
186C59×#384C2211yescharacteristic, complemented
187C24×D59C2311yescharacteristic
188C22×D236C2311yescharacteristic
189C22×D236C2311yescharacteristic
190C22×D236C2311yescharacteristic
191C22×D236C2311yescharacteristic
192C22×D236C2311yescharacteristic
193C22×D236C2311yescharacteristic
194C22×D236C2311yescharacteristic
195C22×D236C2311yescharacteristic
196C22×D236C2311yescharacteristic
197C22×C22⋊D59C2311yescharacteristic
198C22×C22⋊D59C2311yescharacteristic
199C22×C22⋊D59C2311yescharacteristic
200C23×Dic59C2311yescharacteristic
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
210#14273724—24no—
211#14273722—42no—
212#14273722—42no—
213#14273712—24no—
214#14273712—42no—
215#14273711—42no—
216#14273702—24no—
217#14273700—24no—
218#14273697—24no—
219#14273697—24no—
220#14273697—24no—
221C4×D236—42no—
222#14273689—42no—
223#14273689—42no—
224#14273689—42no—
225#14273689—42no—
226#14273689—42no—
227#14273689—42no—
228#14273689—42no—
229C4×C22⋊D59—42no—
230C4×C22⋊D59—42no—
231#14273685—24no—
232#14273683—24no—
233C2×C4⋊Dic59C2311yescharacteristic
234C2×C4⋊Dic59C2311yescharacteristic
235C2×C4⋊Dic59C2311yescharacteristic
236C2×C4⋊Dic59C2311yescharacteristic
237C2×C4⋊Dic59C2311yescharacteristic
238C2×Dic59⋊C4C2311yescharacteristic
239C2×Dic59⋊C4C2311yescharacteristic
240C2×Dic59⋊C4C2311yescharacteristic
241C2×Dic59⋊C4C2311yescharacteristic
242C2×Dic59⋊C4C2311yescharacteristic
243C2×Dic59⋊C4C2311yescharacteristic
244C2×Dic59⋊C4C2311yescharacteristic
245C2×Dic59⋊C4C2311yescharacteristic
246C2×Dic59⋊C4C2311yescharacteristic
247C4⋊C4×D59—42no—
248C2×C22⋊Dic59C2311yescharacteristic
249C2×C22⋊Dic59C2311yescharacteristic
250C2×C22⋊Dic59C2311yescharacteristic
251C2×(C2×D59)⋊C4—42no—
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
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
295C22⋊C4×D59—42no—
296C22⋊C4×D59—42no—
297C2×C4×Dic59C2311yescharacteristic
298C2×C4×Dic59C2311yescharacteristic
299C2×C4×Dic59C2311yescharacteristic
300C2×C4×Dic59C2311yescharacteristic
301C2×C4×Dic59C2311yescharacteristic
302C2×C4×Dic59C2311yescharacteristic
303C2×C4×Dic59C2311yescharacteristic
304C2×C4×Dic59C2311yescharacteristic
305C2×C4×Dic59C2311yescharacteristic
306C2×C4×Dic59C2311yescharacteristic
307C2×C4×Dic59C2311yescharacteristic
308C2×C4×Dic59C2311yescharacteristic
309C2×C4×Dic59C2311yescharacteristic
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
334C23×C4×C59C2311yescharacteristic
335C2×C4⋊C4×C59C2311yescharacteristic
336C2×C4⋊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×C4⋊C4×C59C2311yescharacteristic
345C2×C4⋊C4×C59C2311yescharacteristic
346C2×C4⋊C4×C59C2311yescharacteristic
347C2×C4⋊C4×C59C2311yescharacteristic
348C2×C4⋊C4×C59C2311yescharacteristic
349C2×C22⋊C4×C59C2311yescharacteristic
350C2×C22⋊C4×C59C2311yescharacteristic
351C2×C22⋊C4×C59C2311yescharacteristic
352C2×C22⋊C4×C59C2311yescharacteristic
353C2×C22⋊C4×C59C2311yescharacteristic
354C2×C22⋊C4×C59C2311yescharacteristic
355C2×C42×C59C2311yescharacteristic
356C2×C42×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
370C23×D59—22no—
371C23×D59—22no—
372C23×D59—22no—
373C23×D59—41no—
374C23×D59—41no—
375C23×D59—41no—
376C23×D59—41no—
377C23×D59C2411yescharacteristic
378C23×D59C2411yescharacteristic
379C23×D59C2411yescharacteristic
380C23×D59C2411yescharacteristic
381C23×D59C2411yescharacteristic
382C22×C4×C59—41no—
383C22×C4×C59—41no—
384C22×C4×C59—41no—
385C22×C4×C59C2411yescharacteristic
386C22×C4×C59C2411yescharacteristic
387C22×C4×C59C2411yescharacteristic
388C22×C4×C59C2411yescharacteristic
389C22×C4×C59C2411yescharacteristic
390C22×C4×C59C2411yescharacteristic
391C22×C4×C59C2411yescharacteristic
392C22×C4×C59C2411yescharacteristic
393C22×C4×C59C2411yescharacteristic
394C22×C4×C59C2411yescharacteristic
395C22×C4×C59C2411yescharacteristic
396C22×C4×C59C2411yescharacteristic
397C22×C4×C59C2411yescharacteristic
398C22×C4×C59C2411yescharacteristic
399C2×C22⋊D59—22no—
400C2×C22⋊D59—22no—
401C2×C22⋊D59—22no—
402C2×C22⋊D59—22no—
403C2×C22⋊D59—22no—
404C2×C22⋊D59—41no—
405C2×C22⋊D59—41no—
406C2×C22⋊D59—41no—
407C2×C22⋊D59—41no—
408C22×Dic59—22no—
409C22×Dic59—22no—
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
422C2×D236—22no—
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—22no—
436C2×D236—41no—
437C2×D236—41no—
438C2×D236—41no—
439C2×D236—41no—
440C2×D236—41no—
441C2×D236—41no—
442C2×D236—41no—
443C2×D236—41no—
444C2×D236—41no—
445C2×D236—41no—
446C2×D236—41no—
447C2×D236—41no—
448C2×D236#4114yes—
449C2×C4×D59—22no—
450C2×C4×D59—22no—
451C2×C4×D59—22no—
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—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—
473C2×C4×D59—41no—
474C2×C4×D59—41no—
475C2×C4×D59—41no—
476C4⋊C4×C59—22no—
477C4⋊C4×C59—22no—
478C4⋊C4×C59—22no—
479C4⋊C4×C59—41no—
480C4⋊C4×C59—41no—
481C4⋊C4×C59—41no—
482C4⋊C4×C59—41no—
483C4⋊C4×C59—41no—
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#4114yes—
496C42×C59—22no—
497C42×C59—41no—
498C22⋊Dic59—22no—
499C22⋊Dic59—22no—
500C22⋊Dic59—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—22no—
506(C2×D59)⋊C4—22no—
507(C2×D59)⋊C4—22no—
508(C2×D59)⋊C4—22no—
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—22no—
521(C2×D59)⋊C4—22no—
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—
541(C2×D59)⋊C4—41no—
542(C2×D59)⋊C4—41no—
543(C2×D59)⋊C4#4114yes—
544C4⋊Dic59—22no—
545C4⋊Dic59—22no—
546C4⋊Dic59—22no—
547C4⋊Dic59—41no—
548C4⋊Dic59—41no—
549Dic59⋊C4—22no—
550Dic59⋊C4—22no—
551Dic59⋊C4—22no—
552Dic59⋊C4—22no—
553Dic59⋊C4—22no—
554Dic59⋊C4—22no—
555Dic59⋊C4—41no—
556Dic59⋊C4—41no—
557Dic59⋊C4—41no—
558C4×Dic59—22no—
559C4×Dic59—22no—
560C4×Dic59—22no—
561C4×Dic59—22no—
562C4×Dic59—22no—
563C4×Dic59—22no—
564C4×Dic59—22no—
565C4×Dic59—22no—
566C4×Dic59—22no—
567C4×Dic59—41no—
568C4×Dic59—41no—
569C4×Dic59—41no—
570C4×Dic59—41no—
571C23×C59—21no—
572C23×C59—21no—
573C23×C59—21no—
574C23×C59—21no—
575C23×C59—21no—
576C23×C59—21no—
577C23×C59C2×#4112yes—
578C23×C59C2511yescharacteristic
579C22×D59—21no—
580C22×D59—21no—
581C22×D59—21no—
582C22×D59—21no—
583C22×D59—21no—
584C22×D59—21no—
585C22×D59—21no—
586C22×D59—21no—
587C22×D59—21no—
588C22×D59—21no—
589C22×D59—21no—
590C22×D59—21no—
591C22×D59—21no—
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—44no—
612C22×D59—44no—
613C22×D59—44no—
614C22×D59—82no—
615C22×D59—82no—
616C22×D59—82no—
617C22×D59—82no—
618C22×D59C2×#4112yes—
619C22×D59C2×#4112yes—
620C22×D59C2×#4112yes—
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—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—82no—
660C2×C4×C59C2×#4112yes—
661C2×C4×C59C2×#4112yes—
662C2×C4×C59C2×#4112yes—
663C2×C4×C59C2×#4112yes—
664C22⋊D59—44no—
665C22⋊D59—44no—
666C22⋊D59—82no—
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—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—44no—
697C2×Dic59C2×#4112yes—
698C2×Dic59H(5,𝔽2)12yes—
699C2×Dic59H(5,𝔽2)12yes—
700C2×Dic59H(5,𝔽2)12yes—
701D236—44no—
702D236—44no—
703D236—44no—
704D236—44no—
705D236—44no—
706D236—44no—
707D236—44no—
708D236—44no—
709D236—82no—
710C4×D59—44no—
711C4×D59—44no—
712C4×D59—82no—
713C4×D59—82no—
714C4×D59—82no—
715C4×D59—82no—
716C4×D59—82no—
717C4×D59—82no—
718C4×D59—82no—
719#60040—591nomaximal, Sylow
720C22×C59—22no—
721C22×C59—22no—
722C22×C59—22no—
723C22×C59—41no—
724C22×C59—41no—
725C22×C59—41no—
726C22×C59—41no—
727C22×C59C22×#4111yescharacteristic
728C22×C59C22×#4111yescharacteristic
729C22×C59C22×#4111yescharacteristic
730C22×C59C2×H(5,𝔽2)11yescharacteristic
731C22×C59C2×H(5,𝔽2)11yescharacteristic
732C22×C59C2×H(5,𝔽2)11yescharacteristic
733C22×C59#58511yescharacteristic
734C2×D59—22no—
735C2×D59—22no—
736C2×D59—22no—
737C2×D59—22no—
738C2×D59—22no—
739C2×D59—22no—
740C2×D59—22no—
741C2×D59—22no—
742C2×D59—22no—
743C2×D59—41no—
744C2×D59—41no—
745C2×D59—41no—
746C2×D59—41no—
747C2×D59—41no—
748C2×D59—41no—
749C2×D59—41no—
750C2×D59—41no—
751C2×D59—41no—
752C2×D59—41no—
753C2×D59—41no—
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—88no—
770C4×C59—22no—
771C4×C59—22no—
772C4×C59—22no—
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—
784Dic59—22no—
785Dic59—22no—
786Dic59—22no—
787Dic59—22no—
788Dic59—41no—
789Dic59—41no—
790Dic59—41no—
791Dic59—41no—
792Dic59—41no—
793Dic59—41no—
794Dic59—41no—
795#2790—591no—
796#2790D5911yescharacteristic, complemented
797#2709—591no—
798#2669—591no—
799#2603—591no—
800#2603—591no—
801#2600—591no—
802#2600—591no—
803#2579—591no—
804#2554—591no—
805#2554—591no—
806#2534—591no—
807#2526—591no—
808#2526—591no—
809#2476—591no—
810#2476—591no—
811#2468—591no—
812#2468—591no—
813#2457—591no—
814#2457—591no—
815#2411—591no—
816#2411—591no—
817#2374—591no—
818#2361—591no—
819#2361—591no—
820#2358—591no—
821#2358—591no—
822#2358—591no—
823C4×#127—591no—
824#2298—591no—
825#2298—591no—
826C2×C59—42no—
827C2×C59#348111yescharacteristic
828C2×C59#348111yescharacteristic
829C2×C59#348111yescharacteristic
830C2×C59#349411yescharacteristic
831C2×C59#349411yescharacteristic
832C2×C59#350511yescharacteristic
833C2×C59#354311yescharacteristic
834D59—42no—
835D59—42no—
836D59—42no—
837D59—81no—
838D59—81no—
839C2×#127—591no—
840C2×#126—591no—
841C2×#126—591no—
842C2×#123—591no—
843C2×#123—591no—
844C2×#123—591no—
845C2×#121—591no—
846C2×#121—591no—
847C2×#120—591no—
848C2×#120—591no—
849C2×#120—591no—
850C2×C4×D4—591no—
851C2×C4×D4—591no—
852C2×C4×D4—591no—
853C2×C4×D4—591no—
854C2×C4×D4—591no—
855C2×C4×D4—591no—
856C2×C4×D4—591no—
857C2×C4×D4—591no—
858C2×C4×D4—591no—
859C2×C4×D4—591no—
860C2×#117—591no—
861C2×#117—591no—
862C22×C4⋊C4—591no—
863C22×C22⋊C4—591no—
864C22×C22⋊C4—591no—
865C22×C22⋊C4—591no—
866#400—591no—
867#400C2×D5911yescharacteristic, complemented
868#398—591no—
869#398—591no—
870#398—591no—
871#398C2×D5911yescharacteristic, complemented
872#398C2×D5911yescharacteristic, complemented
873#398C2×D5911yescharacteristic, complemented
874#397—591no—
875#397—591no—
876#396—591no—
877#396—591no—
878#396—591no—
879#396—591no—
880#396C2×D5911yescharacteristic
881#396C2×D5911yescharacteristic
882#394—591no—
883#394—591no—
884#394—591no—
885#394—591no—
886#394—591no—
887#394—591no—
888#394—591no—
889#394—591no—
890#394—591no—
891#394—591no—
892#394—591no—
893#394—591no—
894#392—591no—
895#392—591no—
896#392—591no—
897#392—591no—
898#390—591no—
899#390—591no—
900#390—591no—
901#390—591no—
902#390—591no—
903#390—591no—
904#390—591no—
905#390—591no—
906#390—591no—
907#390—591no—
908#389—591no—
909#389C2×D5911yescharacteristic, complemented
910#388—591no—
911#388—591no—
912#388—591no—
913#388—591no—
914#388—591no—
915#388—591no—
916#388—591no—
917#388—591no—
918#388—591no—
919#388—591no—
920#388—591no—
921#388—591no—
922#388—591no—
923#388—591no—
924#388—591no—
925#388—591no—
926#388—591no—
927#388—591no—
928#388—591no—
929#388—591no—
930#388—591no—
931#388—591no—
932#388C2×D5911yescharacteristic
933#388C2×D5911yescharacteristic
934#387—591no—
935#387—591no—
936#387—591no—
937#387—591no—
938#387—591no—
939#387—591no—
940#387—591no—
941#387—591no—
942#387C2×D5911yescharacteristic, complemented
943#387C2×D5911yescharacteristic, complemented
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#386—591no—
959#386—591no—
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#385C2×D5911yescharacteristic
970#385C2×D5911yescharacteristic
971#385C2×D5911yescharacteristic
972#384C2×D5911yescharacteristic, complemented
973#381—591no—
974#381—591no—
975#381—591no—
976#380—591no—
977#380—591no—
978#379—591no—
979C4×C4⋊C4—591no—
980C4×C4⋊C4—591no—
981C4×C4⋊C4—591no—
982C4×C4⋊C4—591no—
983C4×C22⋊C4—591no—
984C4×C22⋊C4—591no—
985C4×C22⋊C4—591no—
986C4×C22⋊C4—591no—
987C4×C22⋊C4—591no—
988C4×C22⋊C4—591no—
989C4×C22⋊C4—591no—
990C4×C22⋊C4—591no—
991#376—591no—
992#376—591no—
993C43—591no—
994C59#6004011yescharacteristic, complemented, Sylow
995C25—591no—
996C22×D4—591no—
997C22×D4—591no—
998C22×D4—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—
1008C23×C4—591no—
1009C23×C4—591no—
1010C23×C4—591no—
1011C23×C4—591no—
1012C23×C4—591no—
1013C23×C4—591no—
1014C23×C4—591no—
1015C23×C4—591no—
1016C23×C4—591no—
1017C23×C4—591no—
1018C23×C4C22×D5911yescharacteristic
1019#127—1184no—
1020#126—2362no—
1021#126—2362no—
1022#123—1184no—
1023#123—2362no—
1024#123—2362no—
1025#121—1184no—
1026#121—1184no—
1027#120—1184no—
1028#120—1184no—
1029#120—1184no—
1030C4×D4—2362no—
1031C4×D4—2362no—
1032C4×D4—2362no—
1033C4×D4—2362no—
1034C4×D4—2362no—
1035C4×D4—2362no—
1036C4×D4—2362no—
1037C4×D4—2362no—
1038C4×D4—2362no—
1039C4×D4—2362no—
1040#117—1184no—
1041#117—1184no—
1042C2×C4⋊C4—591no—
1043C2×C4⋊C4—591no—
1044C2×C4⋊C4—591no—
1045C2×C4⋊C4—591no—
1046C2×C4⋊C4—591no—
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—2362no—
1057C2×C4⋊C4C22×D5911yescharacteristic
1058C2×C4⋊C4C22×D5911yescharacteristic
1059C2×C4⋊C4C22×D5911yescharacteristic
1060C2×C4⋊C4C22×D5911yescharacteristic
1061C2×C4⋊C4C22×D5911yescharacteristic
1062C2×C4⋊C4C22×D5911yescharacteristic
1063C2×C4⋊C4C22×D5911yescharacteristic
1064C2×C4⋊C4C22×D5911yescharacteristic
1065C2×C4⋊C4C22×D5911yescharacteristic
1066C2×C4⋊C4C22×D5911yescharacteristic
1067C2×C4⋊C4C22×D5911yescharacteristic
1068C2×C4⋊C4C22×D5911yescharacteristic
1069C2×C4⋊C4C22×D5911yescharacteristic
1070C2×C4⋊C4C22×D5911yescharacteristic
1071C2×C22⋊C4—591no—
1072C2×C22⋊C4—591no—
1073C2×C22⋊C4—591no—
1074C2×C22⋊C4—591no—
1075C2×C22⋊C4—591no—
1076C2×C22⋊C4—591no—
1077C2×C22⋊C4—591no—
1078C2×C22⋊C4—591no—
1079C2×C22⋊C4—591no—
1080C2×C22⋊C4—591no—
1081C2×C22⋊C4—591no—
1082C2×C22⋊C4—591no—
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—2362no—
1118C2×C22⋊C4—2362no—
1119C2×C22⋊C4—2362no—
1120C2×C22⋊C4C22×D5911yescharacteristic
1121C2×C22⋊C4C22×D5911yescharacteristic
1122C2×C22⋊C4C22×D5911yescharacteristic
1123C2×C22⋊C4C22×D5911yescharacteristic
1124C2×C22⋊C4C22×D5911yescharacteristic
1125C2×C22⋊C4C22×D5911yescharacteristic
1126C2×C42—591no—
1127C2×C42—591no—
1128C2×C42—591no—
1129C2×C42—591no—
1130C2×C42—591no—
1131C2×C42—591no—
1132C2×C42—591no—
1133C2×C42—591no—
1134C2×C42—591no—
1135C2×C42—591no—
1136C2×C42—591no—
1137C2×C42—591no—
1138C2×C42—591no—
1139C2×C42C22×D5911yescharacteristic
1140C2×C42C22×D5911yescharacteristic
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#95C22×D5911yescharacteristic
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
1177C24—591no—
1178C24—591no—
1179C24—591no—
1180C24—591no—
1181C24—591no—
1182C24—1182no—
1183C24—1182no—
1184C24—1182no—
1185C24—2361no—
1186C24—2361no—
1187C24—2361no—
1188C24—2361no—
1189C24C23×D5911yescharacteristic
1190C2×D4—594no—
1191C2×D4—1182no—
1192C2×D4—1182no—
1193C2×D4—1182no—
1194C2×D4—1182no—
1195C2×D4—1182no—
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—2361no—
1211C2×D4—2361no—
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—
1226C22×C4—41no—
1227C22×C4—41no—
1228C22×C4—41no—
1229C22×C4—591no—
1230C22×C4—591no—
1231C22×C4—591no—
1232C22×C4—591no—
1233C22×C4—591no—
1234C22×C4—591no—
1235C22×C4—591no—
1236C22×C4—591no—
1237C22×C4—591no—
1238C22×C4—591no—
1239C22×C4—591no—
1240C22×C4—1182no—
1241C22×C4—1182no—
1242C22×C4—1182no—
1243C22×C4—1182no—
1244C22×C4—1182no—
1245C22×C4—1182no—
1246C22×C4—1182no—
1247C22×C4—1182no—
1248C22×C4—1182no—
1249C22×C4—1182no—
1250C22×C4—1182no—
1251C22×C4—2361no—
1252C22×C4—2361no—
1253C22×C4—2361no—
1254C22×C4—2361no—
1255C22×C4—2361no—
1256C22×C4—2361no—
1257C22×C4—2361no—
1258C22×C4—2361no—
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×C4C23×D5911yescharacteristic
1271C22×C4C23×D5911yescharacteristic
1272C22×C4C23×D5911yescharacteristic
1273C22×C4C23×D5911yescharacteristic
1274C22×C4C23×D5911yescharacteristic
1275C22×C4C23×D5911yescharacteristic
1276C22×C4C23×D5911yescharacteristic
1277C22×C4C23×D5911yescharacteristic
1278C22×C4C23×D5911yescharacteristic
1279C22×C4C23×D5911yescharacteristic
1280C22×C4C23×D5911yescharacteristic
1281C22×C4C23×D5911yescharacteristic
1282C22×C4C23×D5911yescharacteristic
1283C22×C4C23×D5911yescharacteristic
1284C4⋊C4—22no—
1285C4⋊C4—22no—
1286C4⋊C4—22no—
1287C4⋊C4—41no—
1288C4⋊C4—41no—
1289C4⋊C4—41no—
1290C4⋊C4—41no—
1291C4⋊C4—41no—
1292C4⋊C4—41no—
1293C4⋊C4—41no—
1294C4⋊C4—41no—
1295C4⋊C4—41no—
1296C4⋊C4—41no—
1297C4⋊C4—41no—
1298C4⋊C4—1182no—
1299C4⋊C4—1182no—
1300C4⋊C4—1182no—
1301C4⋊C4—1182no—
1302C4⋊C4—1182no—
1303C4⋊C4—1182no—
1304C4⋊C4—1182no—
1305C4⋊C4—1182no—
1306C4⋊C4—1182no—
1307C4⋊C4—2361no—
1308C4⋊C4—2361no—
1309C4⋊C4—2361no—
1310C4⋊C4—2361no—
1311C4⋊C4—2361no—
1312C22⋊C4—22no—
1313C22⋊C4—22no—
1314C22⋊C4—41no—
1315C22⋊C4—41no—
1316C22⋊C4—41no—
1317C22⋊C4—594no—
1318C22⋊C4—1182no—
1319C22⋊C4—1182no—
1320C22⋊C4—1182no—
1321C22⋊C4—1182no—
1322C22⋊C4—1182no—
1323C22⋊C4—1182no—
1324C22⋊C4—1182no—
1325C22⋊C4—1182no—
1326C22⋊C4—1182no—
1327C22⋊C4—1182no—
1328C22⋊C4—1182no—
1329C22⋊C4—1182no—
1330C22⋊C4—1182no—
1331C22⋊C4—1182no—
1332C22⋊C4—1182no—
1333C22⋊C4—1182no—
1334C22⋊C4—1182no—
1335C22⋊C4—1182no—
1336C22⋊C4—1182no—
1337C22⋊C4—1182no—
1338C22⋊C4—1182no—
1339C22⋊C4—1182no—
1340C22⋊C4—1182no—
1341C22⋊C4—1182no—
1342C22⋊C4—2361no—
1343C22⋊C4—2361no—
1344C22⋊C4—2361no—
1345C22⋊C4—2361no—
1346C22⋊C4—2361no—
1347C22⋊C4—2361no—
1348C22⋊C4—2361no—
1349C22⋊C4—2361no—
1350C22⋊C4—2361no—
1351C22⋊C4—2361no—
1352C22⋊C4—2361no—
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#1174568914yes—
1364C42—22no—
1365C42—41no—
1366C42—1182no—
1367C42—1182no—
1368C42—1182no—
1369C42—1182no—
1370C42—1182no—
1371C42—1182no—
1372C42—1182no—
1373C42—1182no—
1374C42—1182no—
1375C42—2361no—
1376C42—2361no—
1377C42—2361no—
1378C42—2361no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—592no—
1386C23—592no—
1387C23—592no—
1388C23—1181no—
1389C23—1181no—
1390C23—1181no—
1391C23—1181no—
1392C23—1181no—
1393C23—1181no—
1394C23—1181no—
1395C23—1181no—
1396C23—1181no—
1397C23—1181no—
1398C23—1181no—
1399C23—1181no—
1400C23—1181no—
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—4722no—
1421C23—4722no—
1422C23—4722no—
1423C23—4722no—
1424C23—2364no—
1425C23—2364no—
1426C23—2364no—
1427C23C2×#1174568912yes—
1428C23C24×D5911yescharacteristic
1429D4—4722no—
1430D4—4722no—
1431D4—2364no—
1432D4—2364no—
1433D4—2364no—
1434D4—2364no—
1435D4—2364no—
1436D4—2364no—
1437D4—2364no—
1438D4—2364no—
1439D4—2364no—
1440D4—2364no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
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—82no—
1480C2×C4—592no—
1481C2×C4—592no—
1482C2×C4—592no—
1483C2×C4—592no—
1484C2×C4—1181no—
1485C2×C4—1181no—
1486C2×C4—1181no—
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—4722no—
1514C2×C4—4722no—
1515C2×C4—4722no—
1516C2×C4—4722no—
1517C2×C4—4722no—
1518C2×C4—4722no—
1519C2×C4—4722no—
1520C2×C4—2364no—
1521C2×C4—2364no—
1522C2×C4—2364no—
1523C2×C4#41×D5912yes—
1524C2×C4#41×D5912yes—
1525C2×C4C2×#1174568912yes—
1526C2×C4C2×#1174568912yes—
1527C22—22no—
1528C22—22no—
1529C22—22no—
1530C22—41no—
1531C22—41no—
1532C22—41no—
1533C22—41no—
1534C22—1182no—
1535C22—1182no—
1536C22—1182no—
1537C22—1182no—
1538C22—1182no—
1539C22—1182no—
1540C22—1182no—
1541C22—1182no—
1542C22—1182no—
1543C22—4728no—
1544C22—2361no—
1545C22—2361no—
1546C22—2361no—
1547C22—2361no—
1548C22—2361no—
1549C22—2361no—
1550C22—2361no—
1551C22—2361no—
1552C22—2361no—
1553C22—2361no—
1554C22—2361no—
1555C22—2361no—
1556C22—2361no—
1557C22—2361no—
1558C22—2361no—
1559C22—2361no—
1560C22—2361no—
1561C22—2361no—
1562C22—2361no—
1563C22—2361no—
1564C22—2361no—
1565C22—2361no—
1566C22—2361no—
1567C22—2361no—
1568C22—2361no—
1569C22—2361no—
1570C22C2×#41×D5911yescharacteristic
1571C22C2×#41×D5911yescharacteristic
1572C22C22×#1174568911yescharacteristic
1573C22H(5,𝔽2)×D5911yescharacteristic
1574C22H(5,𝔽2)×D5911yescharacteristic
1575C22H(5,𝔽2)×D5911yescharacteristic
1576C22#1683823911yescharacteristic
1577C4—22no—
1578C4—22no—
1579C4—22no—
1580C4—22no—
1581C4—41no—
1582C4—41no—
1583C4—41no—
1584C4—41no—
1585C4—41no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—1182no—
1592C4—1182no—
1593C4—1182no—
1594C4—1182no—
1595C4—2361no—
1596C4—2361no—
1597C4—2361no—
1598C4—2361no—
1599C4—2361no—
1600C4—2361no—
1601C4—2361no—
1602C2—42no—
1603C2—4721no—
1604C2—4721no—
1605C2—2362no—
1606C2—2362no—
1607C2—2362no—
1608C2#2143770311yescharacteristic
1609C2#2143770711yescharacteristic
1610C2#2143770711yescharacteristic
1611C2#2143782911yescharacteristic
1612C2#2143783411yescharacteristic
1613C2#2143792811yescharacteristic
1614C2#2143842411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2790C2
prime radical#21430311C2
hypercenter#2790D59
hypocenterC59#60040
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2790

Complements

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

NH ≅ G/Ntype
1. #21431862C2semidirect
2. #21430828C2semidirect
4. #21429724C2semidirect
5. #21429722C2semidirect
6. #21429685C2semidirect
7. #21429682C2semidirect
8. #21429444C2semidirect
9. #21429159C2semidirect
10. #21429149C2semidirect
11. #21428987C2semidirect
12. #21428874C2semidirect
13. #21428863C2semidirect
14. #21428285C2semidirect
15. #21428280C2semidirect
16. #21428165C2semidirect
17. #21428163C2semidirect
18. #21428006C2semidirect
19. #21428004C2semidirect
20. #21427479C2semidirect
21. #21427476C2semidirect
22. #21427228C2semidirect
23. #21427115C2semidirect
24. #21427111C2semidirect
25. #21427074C2semidirect
26. #21427072C2semidirect
27. #21427072C2semidirect
28. #21426658C2semidirect
29. #21426590C2semidirect
30. #21426588C2semidirect
31. C59×#2790C2semidirect
33. C2×#14273722C22semidirect
34. C2×#14273722C22semidirect
48. C2×#14273689C22semidirect
49. C2×#14273689C22semidirect
50. C2×#14273689C22semidirect
55. C2×C4⋊C4×D59C22semidirect
59. #16837341C22semidirect
60. #16837335C22semidirect
61. #16837335C22semidirect
62. #16837332C22semidirect
63. #16837331C22semidirect
64. #16837328C22semidirect
72. #16837320C22semidirect
73. #16837320C22semidirect
77. #16837319C22semidirect
78. #16837319C22semidirect
90. #16837303C22semidirect
91. #16837303C22semidirect
92. #16837303C22semidirect
95. #16837297C22semidirect
100. #16837294C22semidirect
101. #16837294C22semidirect
102. #16837294C22semidirect
103. #16837294C22semidirect
105. #16837293C22semidirect
109. #16837292C22semidirect
110. #16837292C22semidirect
111. #16837292C22semidirect
115. #16837291C22semidirect
116. #16837291C22semidirect
118. #16837289C22semidirect
119. #16837288C22semidirect
120. #16837287C22semidirect
121. #16837286C22semidirect
122. #16837285C22semidirect
123. #16837284C22semidirect
124. #16837283C22semidirect
125. #16837283C22semidirect
136. #16837280C22semidirect
137. #16837280C22semidirect
143. #16837276C22semidirect
144. #16837276C22semidirect
149. #16837273C22semidirect
150. #16837273C22semidirect
152. #16837264C22semidirect
153. #16837264C22semidirect
155. #16837259C22semidirect
157. C4⋊C4×Dic59C22semidirect
158. C4⋊C4×Dic59C22semidirect
159. #16837253C22semidirect
160. #16837253C22semidirect
164. C4×(C2×D59)⋊C4C22semidirect
168. #16837249C22semidirect
169. #16837247C22semidirect
170. #16837247C22semidirect
171. C42×Dic59C22semidirect
172. C59×#400C22semidirect
173. C59×#398C22semidirect
174. C59×#398C22semidirect
175. C59×#398C22semidirect
178. C59×#389C22semidirect
181. C59×#387C22semidirect
182. C59×#387C22semidirect
186. C59×#384C22semidirect
796. #2790D59semidirect
867. #400C2×D59semidirect
871. #398C2×D59semidirect
872. #398C2×D59semidirect
873. #398C2×D59semidirect
909. #389C2×D59semidirect
942. #387C2×D59semidirect
943. #387C2×D59semidirect
972. #384C2×D59semidirect
994. C59#60040semidirect

Maximal subgroups

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

subgroupindex
#214318622
#214308282
#214303112
#214297242
#214297222
#214296852
#214296822
#214294442
#214291592
#214291492
#214289872
#214288742
#214288632
#214282852
#214282802
#214281652
#214281632
#214280062
#214280042
#214274792
#214274762
#214272282
#214271152
#214271112
#214270742
#214270722
#214266582
#214265902
#214265882
C59×#27902
#6004059